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ob of sequence ssss when four letters picked without replacement from {n: 2, s: 7}? 5/18 Two letters picked without replacement from ayeebaaqyyyyybbccccb. Give prob of sequence bc. 4/95 Three letters picked without replacement from {a: 5, d: 1, b: 1, p: 5}. Give prob of sequence bdp. 1/264 What is prob of sequence xxx when three letters picked without replacement from xxppx? 1/10 Four letters picked without replacement from ewwjjyywgjw. What is prob of sequence jgjw? 1/330 Three letters picked without replacement from {c: 4, v: 2, z: 9, y: 3, b: 1}. Give prob of sequence bvz. 1/323 Four letters picked without replacement from vvvddavaa. What is prob of sequence vadv? 1/42 Calculate prob of sequence dapl when four letters picked without replacement from {p: 6, l: 2, a: 1, d: 2}. 1/330 Two letters picked without replacement from {m: 5, h: 8, d: 5}. What is prob of sequence dm? 25/306 Calculate prob of sequence xjg when three letters picked without replacement from gbojx. 1/60 Calculate prob of sequence wwww when four letters picked without replacement from wwww. 1 What is prob of sequence hha when three letters picked without replacement from {h: 3, a: 2, z: 1, i: 2, e: 9}? 1/340 Calculate prob of sequence yj when two letters picked without replacement from yibbbbbjb. 1/72 Calculate prob of sequence lln when three letters picked without replacement from nllxl. 1/10 What is prob of sequence yycc when four letters picked without replacement from {y: 4, c: 6}? 1/14 Two letters picked without replacement from lyylfllyysly. Give prob of sequence yl. 25/132 Two letters picked without replacement from santnns. Give prob of sequence ss. 1/21 Calculate prob of sequence zs when two letters picked without replacement from {z: 1, w: 7, s: 2, r: 2, m: 6}. 1/153 Four letters picked without replacement from {o: 2, a: 2, h: 5, n: 4}. Give prob of sequence aoho. 1/858 Three letters picked without replacement from {c: 4, j: 4, q: 3, w: 3}. Give prob of sequence wqj. 3/182 Two letters picked without replacement from dinbzuduznidbzibzb. What is prob of sequence ub? 4/153 What is prob of sequence lz when two letters picked without replacement from zzwzzqllzlg? 3/22 Three letters picked without replacement from {q: 6, i: 13}. Give prob of sequence iiq. 52/323 Three letters picked without replacement from vfwvvvvffvvwfv. Give prob of sequence wff. 1/91 Four letters picked without replacement from {s: 2, t: 5, i: 1, d: 6, k: 5}. What is prob of sequence stdk? 25/7752 Four letters picked without replacement from {j: 4, k: 4, o: 2}. What is prob of sequence jjkk? 1/35 Four letters picked without replacement from aalaaaaaalaalaaaaala. What is prob of sequence aaaa? 364/969 Two letters picked without replacement from {f: 1, q: 2, k: 1, r: 5}. What is prob of sequence qr? 5/36 Calculate prob of sequence ihih when four letters picked without replacement from llhiiihiiii. 7/660 Four letters picked without replacement from gdigd. What is prob of sequence ggii? 0 Two letters picked without replacement from {x: 3, c: 1, i: 2, m: 1}. What is prob of sequence mc? 1/42 Four letters picked without replacement from {c: 5, q: 5, x: 3}. Give prob of sequence qxxc. 5/572 What is prob of sequence keo when three letters picked without replacement from uumkdmdduokdee? 1/546 Three letters picked without replacement from {r: 4, c: 3, t: 2, e: 2, p: 2, o: 2}. Give prob of sequence ptp. 2/1365 What is prob of sequence crvv when four letters picked without replacement from yyyvyycycrvyyr? 1/3003 What is prob of sequence ddd when three letters picked without replacement from dddtf? 1/10 Calculate prob of sequence sl when two letters picked without replacement from lxs. 1/6 Calculate prob of sequence vvvv when four letters picked without replacement from {v: 5, u: 9}. 5/1001 What is prob of sequence pp when two letters picked without replacement from {s: 1, z: 2, v: 1, p: 2, x: 1, i: 1}? 1/28 Two letters picked without replacement from tntttbtkeb. What is prob of sequence tb? 1/9 Calculate prob of sequence aan when three letters picked without replacement from {a: 3, n: 4}. 4/35 Two letters picked without replacement from {u: 4, j: 3, c: 4, z: 1, s: 4, q: 1}. What is prob of sequence uz? 1/68 Calculate prob of sequence sv when two letters picked without replacement from {d: 1, s: 1, v: 3}. 3/20 Two letters picked without replacement from hhhnnh. Give prob of sequence hh. 2/5 Four letters picked without replacement from {s: 4, n: 7}. Give prob of sequence sssn. 7/330 Three letters picked without replacement from ocbouyo. Give prob of sequence ooo. 1/35 Two letters picked without replacement from zzzzzxzxzzxz. What is prob of sequence zz? 6/11 What is prob of sequence sx when two letters picked without replacement from {q: 1, z: 1, x: 5, s: 7, f: 2}? 7/48 Three letters picked without replacement from mmfrfcrfomforomrrf. What is prob of sequence mor? 5/408 Calculate prob of sequence qqq when three letters picked without replacement from {q: 5}. 1 Two letters picked without replacement from {k: 1, p: 1, x: 2, u: 3}. What is prob of sequence xu? 1/7 Four letters picked without replacement from {h: 2, o: 2, e: 2, j: 4}. What is prob of sequence ohje? 2/315 Calculate prob of sequence dc when two letters picked without replacement from xdc. 1/6 What is prob of sequence mza when three letters picked without replacement from gmgaagktzmgkgkk? 2/1365 Two letters picked without replacement from {h: 1, l: 1, m: 3, k: 6, v: 4, y: 1}. Give prob of sequence hv. 1/60 Four letters picked without replacement from kkekekekkekekkkkkkkk. Give prob of sequence eeke. 5/646 Four letters picked without replacement from {i: 5}. What is prob of sequence iiii? 1 Three letters picked without replacement from hgqqhqqhqhqhqh. What is prob of sequence qhq? 3/26 Two letters picked without replacement from zyubu. What is prob of sequence by? 1/20 Calculate prob of sequence ddvv when four letters picked without replacement from vdvdd. 1/10 Three letters picked without replacement from hhhsshsssshss. Give prob of sequence shh. 40/429 Three letters picked without replacement from oplloozlplp. Give prob of sequence pop. 1/55 Four letters picked without replacement from ggmmmmmgmmg. Give prob of sequence mmmm. 7/66 Four letters picked without replacement from ueuuuuuueeeeueeueuue. Give prob of sequence eeeu. 77/1615 Two letters picked without replacement from {p: 3, a: 2}. What is prob of sequence pp? 3/10 Calculate prob of sequence qxp when three letters picked without replacement from hwppppxwpqxphxhpxpqh. 8/855 Two letters picked without replacement from hdk. What is prob of sequence dk? 1/6 What is prob of sequence ummm when four letters picked without replacement from {u: 9, m: 10}? 45/646 Three letters picked without replacement from iiicccnciixiitiicq. What is prob of sequence qii? 1/68 Two letters picked without replacement from fbbfyfbbybbyffbybfff. Give prob of sequence
{ "pile_set_name": "DM Mathematics" }
3 Collect the terms in 110812033 - 6*d**2 - 7*d**2 - 10*d**2 + 23*d**2 - 110812033 - 6*d**3. -6*d**3 Collect the terms in 0*g**2 - 4*g**2 + 57*g - 4*g + 54*g - 163 + g**2. -3*g**2 + 107*g - 163 Collect the terms in -4554720 + 228*a**2 + 4554720 - a. 228*a**2 - a Collect the terms in -j + 41*j**2 + 77891*j**3 - 41*j**2 + 77881*j**3 - 155751*j**3. 21*j**3 - j Collect the terms in 247*t + 232*t + 251*t + 238*t - 968*t + t**2. t**2 Collect the terms in -174*n - 499*n - 245*n - 242*n + n**2 + 1398*n - 238*n. n**2 Collect the terms in 1704*p**3 + 1228*p**3 - 417*p**3 + 2003*p**3 + 2. 4518*p**3 + 2 Collect the terms in 13 + 886 + 46*b**3 - 900 + 1. 46*b**3 Collect the terms in -48*x**2 - 7*x + 38*x**2 + 7*x - 57*x**2. -67*x**2 Collect the terms in 79009 - 4*f**3 + 2*f**3 + 7*f**3 + 38979. 5*f**3 + 117988 Collect the terms in -5428*o - 4850*o + 19197*o. 8919*o Collect the terms in -18366*v - 32968*v - 10986*v. -62320*v Collect the terms in -73288*j**3 - 30535*j**3 - 2837*j**3 - 252646*j**3. -359306*j**3 Collect the terms in -27909*m + 56844*m - 28939*m. -4*m Collect the terms in 24*v**2 + 19*v**3 - 214*v + 450*v - 26*v**3 - 24*v**2 - 236*v. -7*v**3 Collect the terms in 26*x**2 - 15*x**2 - 369*x**2 - 32*x**2 + 124*x**2. -266*x**2 Collect the terms in 177*c**2 + 46*c**2 - 89*c**2 + 2386 - 2386 + 143*c**2. 277*c**2 Collect the terms in d**2 + 243*d - 895*d + 248*d + 246*d + 245*d - 87*d. d**2 Collect the terms in -4*v + 0*v + 4*v - 10095221110*v**3 + 10095221108*v**3. -2*v**3 Collect the terms in -751*m**2 - 761*m**2 + 2292*m**2 - 770*m**2. 10*m**2 Collect the terms in -165*s + 281*s - 186*s - 271*s - 556*s. -897*s Collect the terms in 78*h + 262*h + 0 - 7 - 33*h - 312*h + 7. -5*h Collect the terms in 423*l**3 + 16*l**2 + 45*l**3 - l - 6*l**2 - 1 - 10*l**2. 468*l**3 - l - 1 Collect the terms in -640*n + 915*n + 1650*n. 1925*n Collect the terms in 2*a + 245*a**2 - 2*a - 221860074*a**3 + 111*a**2 + 518*a**2 + 221860073*a**3. -a**3 + 874*a**2 Collect the terms in 205*n - 217*n - 176*n + 181*n. -7*n Collect the terms in -30*t**3 + 18*t**3 - 1095*t**2 + 1 + 14*t**3. 2*t**3 - 1095*t**2 + 1 Collect the terms in -644*a + 355303*a**2 - 3*a**3 - 355303*a**2. -3*a**3 - 644*a Collect the terms in -3*j**3 - 37*j - 42*j - 65*j + 187. -3*j**3 - 144*j + 187 Collect the terms in -22*x**2 - 102 - 40*x**2 + 47*x**2. -15*x**2 - 102 Collect the terms in -k - 929510 + 2*k - 5*k - 3563187. -4*k - 4492697 Collect the terms in 693135*y + 952212*y - 80432*y. 1564915*y Collect the terms in -107161*v**2 + 214336*v**2 + v**3 - 107175*v**2 + v**3. 2*v**3 Collect the terms in 4033*o + 142647*o + 80313*o. 226993*o Collect the terms in 107*a**2 - 247*a**2 + 119*a**2 + 63*a**2 + 12*a**2. 54*a**2 Collect the terms in 23 + 857039*v - 857040*v + 25 - v**2. -v**2 - v + 48 Collect the terms in 20248 - 3183*s + 20247 - 40495. -3183*s Collect the terms in -9 + 180*b + 433*b**2 - 79*b - 101*b. 433*b**2 - 9 Collect the terms in 6633 + 2*z**2 + 7162 - 13795 + 1446*z. 2*z**2 + 1446*z Collect the terms in -39 + 39 + 7 - 8 + 7 - 3*d**3 - 6. -3*d**3 Collect the terms in 77 + 1654*x**3 - 96 + 27 + 23 - 31. 1654*x**3 Collect the terms in 11*h**2 - 67354*h**3 - 11*h**2 + 33753*h**3 + 33752*h**3. 151*h**3 Collect the terms in q - 20*q**2 - q + 13676 - 6*q - 13683. -20*q**2 - 6*q - 7 Collect the terms in 153*v**2 - 33*v**2 + 7*v**3 - 69*v**2 - 46*v**2. 7*v**3 + 5*v**2 Collect the terms in 91*v - 6*v**2 - 8*v**2 - 163*v - 5*v**2 + 66*v. -19*v**2 - 6*v Collect the terms in 61*j - 9*j + 864*j**3 - 2565*j**3 + 18*j. -1701*j**3 + 70*j Collect the terms in 54 + 11 - 61*u**2 - 53. -61*u**2 + 12 Collect the terms in 95090*f + 1067*f**2 - 95090*f. 1067*f**2 Collect the terms in 121037*d**3 - 61 + 61. 121037*d**3 Collect the terms in h - 5145052*h**2 + 2573225*h**2 + 2572913*h**2. 1086*h**2 + h Collect the terms in -496 - 81 - 3674*k - 3686*k + 11024*k - 3677*k. -13*k - 577 Collect the terms in -80 + 258*b - 88 + 297 - 88 - 39. 258*b + 2 Collect the terms in -171*w**2 - 16*w**3 + 426*w**2 - 89*w**2 - 88*w**2 - 78*w**2. -16*w**3 Collect the terms in 3 - 2 - 10204*i + 2 - 10190*i + 20279*i. -115*i + 3 Collect the terms in 5976*m**3 - 5995*m**3 + 3*m - 7*m + 4*m. -19*m**3 Collect the terms in
{ "pile_set_name": "DM Mathematics" }
-10). Let r be (1/d)/((-17)/85). Solve -11 = 2*s - r for s. -5 Let t be -1*2/6 - 168/(-18). Suppose -t*w - 48 = -25*w. Solve 0 = 2*a + a + w for a. -1 Let i = -1410 + 1414. Solve -10*y - i*y = 0 for y. 0 Let c = -133 - -131. Let o(q) = 2*q + 5. Let k be o(c). Solve 3*f + k = 4 for f. 1 Suppose 5*i + 5 = 0, 7*l - 2*l - 35 = 5*i. Suppose l*d - d = 10. Solve 0*p - d*p + 8 = 0 for p. 4 Let z(n) = -15*n**2 + 120*n + 8. Let i be z(8). Solve 4*h - 8 = i*h for h. -2 Suppose 10*y = 16*y + 30. Let b be y*(-1 + (-3)/(-12)*0). Solve 4*o = b*o for o. 0 Let b(f) = 3*f**3 - f**2 + 3*f + 12. Let u(k) = 2*k**3 - k**2 + 2*k + 12. Let y(v) = -3*b(v) + 4*u(v). Let w be y(0). Solve -3*z + 0 = -w for z. 4 Suppose 0 = 4*x + 5*o + 29, -3*o - 11 = x - o. Let a be -2 + 0 + x + 11. Suppose 2*d + 4*j - 12 = 0, 6*d - d + j - 21 = 0. Solve a = d*h + 4 for h. 1 Let j(c) = -3*c**3 + 3*c**2 + 23*c + 8. Let t(w) = -w**3 + w**2 + 8*w + 3. Let r(d) = -6*j(d) + 17*t(d). Let a be r(2). Solve -3*f - a = -0 for f. -1 Let x be (12/3)/((-8)/(-92)). Let k = 46 - x. Solve 2*m = -k*m - 8 for m. -4 Suppose 0 = 2*p + p - 4*r - 16, 3*r = 2*p - 12. Let v = 18 - 6. Solve p = l - 5*l + v for l. 3 Let d(y) = 2*y**3 - 111*y**2 - 58*y + 115. Let j be d(56). Solve j*w = 21 - 18 for w. 1 Suppose -2*l + l + 2*q - 6 = 0, -4*l - 2*q - 4 = 0. Let w be (3 + -6 - 1)/(l/2). Solve -2 - 2 = -w*a for a. 1 Let w(q) = q**2 + 3*q - 10. Suppose -102*l = -98*l + 20. Let o be w(l). Solve o = -3*b + 1 - 10 for b. -3 Let k(z) = 8*z**2 + 89*z + 13. Let j be k(-11). Solve -r = -j + 6 for r. -4 Let v(y) = -5*y**3 - 19*y**2 + 25*y + 23. Let w(u) = -4*u**3 - 20*u**2 + 25*u + 24. Let t(i) = -3*v(i) + 4*w(i). Let j be t(-24). Solve j*z - 2*z = -4 for z. -4 Let q(z) = z**3 + 14*z**2 - z - 8. Let h be (-3)/((9/(-42))/(-1)). Let i be q(h). Suppose -i*m + 8 = -2*m. Solve m*f = -2*f - 20 for f. -5 Suppose 4*d - 3*d - 4*f + 1 = 0, 0 = 3*f - 6. Solve 2*k - 18 = -d*k for k. 2 Let u(f) = -f**2 + 2*f + 31. Let s be u(-8). Let w = s + 49. Solve -d - 2*d - 3 = w for d. -1 Let i(p) = -p**2 - p - 8. Let x be i(-4). Let z be x/(-1) - 2 - 2. Solve c = 5*c - z for c. 4 Let q = 2515 - 2451. Solve -16*i = -32*i + q for i. 4 Suppose -7*x + 2*c + 92 = -3*x, -4*x - 3*c + 72 = 0. Suppose 5*i = w + 28, 4*i - x = i + 2*w. Solve -3 = -2*d + i*d for d. -1 Let t(v) = v**3 - 21*v**2 + 73*v - 17. Let f be t(4). Suppose 3 - 8 = -x. Solve f = -x*z + 8*z for z. 1 Let y(w) = -29*w + 96. Let l be y(3). Solve -4*d + 9 = l for d. 0 Suppose 0*w - 50 = -5*w. Suppose -5*c - k = -w, 12*c + 2 = 13*c + 3*k. Solve 0 = c*f + 3*f - 5 for f. 1 Let v(t) = t**2 - 6*t + 3. Let c be v(6). Solve 4*g = -11 + c for g. -2 Let x(b) = 14*b + 17. Let l be x(-1). Let i be 19/2 - 1/2. Let z be (-2)/i - 76/(-18). Solve -v + z = -l*v for v. -2 Let j(g) = -g**3 - 3*g**2 - g - 2. Let y be j(-3). Let d = -1 + y. Suppose d*n = -4*n + 40. Solve -n = -0*w + 5*w for w. -2 Let m(y) = -y - 1. Let q be m(-2). Let z(k) = k**3 - 2*k + 1. Let a be z(q). Suppose a = v + v. Solve 2*p + 1 + 5 = v for p. -3 Suppose -4*w - g = 4*g - 17, 0 = -2*w + 3*g + 3. Suppose 2*y + 4 = w*y. Solve 0 = y*b + 4 for b. -1 Let b(q) = -22 - 9 - 3*q - 1. Let u be b(-13). Suppose -2*v + s = -10, -v + 0*s = -3*s - 5. Solve u - 2 = -v*z for z. -1 Let v = -59 + 46. Let s(h) = -4*h**2 + 13*h + 5. Let p(c) = -5*c**2 + 13*c + 5. Let q(z) = -5*p(z) + 6*s(z). Let l be q(v). Solve -17 = l*w + 3 for w. -4 Let w = -77 - -80. Solve c - 1 = w for c. 4 Let g = 632 - 630. Solve -g*t - 32 + 38 = 0 for t. 3 Let r = 684 - 682. Solve r*y + 1 = -1 for y. -1 Let q(m) = -m**3 + 3*m**2 + 10*m - 6. Let x be q(4). Solve 5*h + 8 = x for h. 2 Let a be 0 - (-1)/(1/2). Suppose -17 = l - 4*r, -4*l + 2*r - 7*r = 173. Let u = l + 37. Solve u = -k - a*k for k. 0 Suppose q = -4*d, 0 = 5*q - q + 3*d. Let h(g) = -2*g**2 + 3. Let z be h(3). Let f be -5*(9/z - q). Solve v - 8 = -f*v for v. 2 Let c be 3 - ((-372)/15 + (-
{ "pile_set_name": "DM Mathematics" }
s + g*w**3 + f*w + u*w**2 and give s. -1 Rearrange -90*n**4 - 6*n - 86*n**4 + 5*n**3 - 82*n**4 + 344*n**4 - 88*n**4 - 2*n**2 to q*n**2 + d*n**3 + a*n + o + w*n**4 and give a. -6 Rearrange (0 + 0 - 2*w)*(-3 - 66*w**2 + 67*w**2 - 10) - 1 + w**3 + 1 + 3 - 3 + 2*w**3 + (4*w + w - 3*w)*(w**2 + 0 + 0) to t*w + c*w**2 + g + o*w**3 and give o. 3 Rearrange 4*z**2 - 4*z**2 - z**2 + (4*z - 4*z - 2*z)*(3*z - 1 + 1) + 80*z**2 + 16 + 15 - 82*z**2 + 4*z**2 + 1 - 1 to the form x*z + p*z**2 + a and give p. -5 Express 2 - 690*j**2 - 2 + 690*j**2 + 154*j**3 + j in the form u + y*j**2 + v*j**3 + b*j and give b. 1 Express -14*i**2 - 21*i**2 + 108*i**2 + 291*i**2 in the form d*i + s*i**2 + z and give s. 364 Express (0*x + 0*x - x)*(-45*x**2 + 3*x**2 - 4*x**2)*(6*x + 4*x - 3*x) in the form y*x**3 + k*x**4 + a*x + u*x**2 + i and give k. 322 Rearrange (-3*b + b + 0*b)*(-3 + 0 + 2) + 75*b - 47*b - 40*b - 4*b + b + 5*b + 0*b + b - 3*b to o*b + v and give o. -10 Express -d**4 - 30 + 53 - 43*d + 22*d + 20*d + 33 in the form m + z*d + g*d**3 + l*d**2 + q*d**4 and give m. 56 Express ((0 - 3*m + 0)*(-2 + 3 - 2) - 3*m - 20*m + 2*m)*(2*m + 2*m + 3*m)*(2 + 2 - 5) in the form t*m + o + h*m**2 and give o. 0 Rearrange (6 + 6 - 3)*(-v - 5*v + 2*v) + 1 + 3*v - 1 to the form w + o*v and give o. -33 Rearrange 106*c**4 + 8*c**2 - 62*c**2 - 107*c**4 + 2 to the form y*c**4 + l*c + p*c**3 + n*c**2 + o and give o. 2 Rearrange 12*j + 18*j + 28*j + 2*j**2 + 32*j to the form g*j + t + v*j**2 and give g. 90 Express (230*v + 492*v + 4089*v - 515*v)*((0 - 2 + 1)*(0*v - 3*v + 5*v) + 2*v - 3*v - v - 2 + 2 + 2*v) as c*v**2 + i + d*v and give c. -8592 Express (-174 - 54 + 66)*(-22*m**2 - 18*m**4 + 22*m**2) as p + k*m**4 + f*m + b*m**3 + v*m**2 and give k. 2916 Express 42*v + 122 + 117 + 123 - 364 + 8*v**2 - 4*v**4 - 6*v**2 in the form z + h*v**4 + r*v + x*v**2 + d*v**3 and give z. -2 Rearrange 2 + 23*x + 22*x - 3*x**2 - 9*x**3 + 14*x**2 - 11*x**2 to the form f*x + c*x**3 + l + y*x**2 and give f. 45 Express (-40 + 50 + 13 - 3*p)*(p - 2*p + 5*p + 2) in the form x + s*p + q*p**2 and give q. -12 Express (-2 + 2 + 2*a - 3)*(-45*a**2 + 39*a**2 - 107*a**2) - 6*a**3 + 2*a**3 + 2*a**3 in the form f*a + x*a**2 + d + z*a**3 and give z. -228 Express -2*x**4 - 6*x**2 + 6*x**2 + (1 - 3 - 2)*(-10*x**3 + 10*x**3 - 7*x**4) as w + k*x**4 + q*x + d*x**3 + p*x**2 and give k. 26 Rearrange (1 + 3 - 3)*(-98*h + 192*h - 116*h)*(-3*h - h + 2 + 0*h)*(-2*h + 2*h - h) to u*h + w + z*h**3 + k*h**2 and give k. 44 Express (1 - 3 + 3)*(4 - 3 + 2)*(-2*i - 2*i + 0*i)*(-11 - 3 + 1) - i + i - i in the form f*i + w and give f. 155 Express (0 + 0 - w**2)*(44 + 304 + 26 + 4 - 2 + 0 + 0 + 0 + 1 + (2 + 1 - 1)*(-2 + 3 + 0) + 3 + 1 - 1) in the form v*w**2 + c + n*w and give v. -382 Rearrange -7 + 13 + 28*m**2 - 25*m**2 - 3*m**3 - 6*m + m**3 to the form k*m + t + o*m**3 + l*m**2 and give l. 3 Rearrange -60 - 4*z**2 - 7*z**2 + 117 - 16*z**2 - 61 to the form j + v*z + k*z**2 and give j. -4 Express -36*t**2 - t**3 + 37*t**2 + 2*t**3 + 10*t + 0*t**3 in the form y*t + q*t**3 + h + u*t**2 and give y. 10 Rearrange -22 - 497*k + 497*k + k**2 + 4*k**3 + 0*k**3 - 2*k**3 to q*k + a + f*k**3 + i*k**2 and give i. 1 Express 56*q**3 + 179*q**3 - 2*q**4 + 9 - 9 - 2*q**2 - 22*q**3 as n*q**4 + c*q**3 + k*q**2 + t*q + x and give k. -2 Rearrange 49 + 48*d - 6*d**2 + 8*d**2 - 2*d**3 - 48*d to x + h*d**3 + m*d + z*d**2 and give h. -2 Rearrange (3*u - 3*u + u)*(2 - 2 + 1) - 4*u - 4*u + 4*u + 6*u + 0*u - 4*u to z*u + a and give z. -1 Rearrange -500*n + 287*n + 2*n**3 - 4*n**2 + 286*n to the form w*n**2 + o*n**3 + x + z*n and give w. -4 Rearrange (-5*h + 3*h - 2*h)*(4*h - 2*h - 3*h + (6 - 2 + 0)*(-12*h + 55 - 55)) to the form k + l*h + m*h**2 and give m. 196 Express (-3*j**2 + 0*j**2 + 4*j**2)*(-31 + 7 + 12)*(-3*j + 1 - 1) as f*j**2 + o + y*j**3 + b*j and give y. 36 Rearrange (39 - 75 + 41)*(-4*h + 3*h + 4 - 2) to m + l*h and give l. -5 Rearrange (2 - 3 - 1
{ "pile_set_name": "DM Mathematics" }
picking 1 f and 3 e? 2/455 Three letters picked without replacement from {x: 3, z: 4, a: 2}. What is prob of picking 3 z? 1/21 What is prob of picking 2 t when two letters picked without replacement from {t: 9, l: 2}? 36/55 Two letters picked without replacement from iitivvivippki. Give prob of picking 1 t and 1 p. 1/39 What is prob of picking 2 s and 2 x when four letters picked without replacement from {x: 8, m: 4, s: 5}? 2/17 Calculate prob of picking 2 e when two letters picked without replacement from qqznzzqeezq. 1/55 What is prob of picking 1 c, 2 l, and 1 p when four letters picked without replacement from {p: 5, l: 2, d: 7, c: 3}? 3/476 What is prob of picking 2 d when two letters picked without replacement from {z: 10, d: 10}? 9/38 What is prob of picking 1 y, 2 i, and 1 t when four letters picked without replacement from {y: 9, t: 1, h: 1, z: 2, i: 3, d: 2}? 3/340 Calculate prob of picking 2 w and 2 x when four letters picked without replacement from {w: 2, x: 10}. 1/11 What is prob of picking 1 i and 1 p when two letters picked without replacement from {k: 3, p: 7, i: 1, j: 6}? 7/136 Calculate prob of picking 4 m when four letters picked without replacement from mmmmmm. 1 What is prob of picking 1 j, 1 g, and 1 r when three letters picked without replacement from {r: 1, z: 2, m: 2, j: 1, g: 1}? 1/35 Four letters picked without replacement from {j: 6, z: 1, r: 3, m: 1, g: 3, i: 6}. What is prob of picking 1 r and 3 i? 4/323 Calculate prob of picking 1 u, 1 o, 1 b, and 1 k when four letters picked without replacement from buuoxooxoku. 2/55 Calculate prob of picking 1 s and 1 q when two letters picked without replacement from ssgqcsqscmssssd. 16/105 What is prob of picking 1 m, 2 i, and 1 c when four letters picked without replacement from {m: 2, c: 4, i: 5}? 8/33 Two letters picked without replacement from bffbfbfbbf. Give prob of picking 2 b. 2/9 What is prob of picking 1 f, 1 x, and 1 l when three letters picked without replacement from xlfglxffllf? 32/165 Calculate prob of picking 1 c and 1 w when two letters picked without replacement from {w: 1, b: 2, i: 1, h: 3, c: 1, n: 4}. 1/66 Calculate prob of picking 2 f when two letters picked without replacement from {f: 4, y: 2}. 2/5 Two letters picked without replacement from {t: 6, w: 4, r: 1, a: 2, c: 2}. What is prob of picking 2 a? 1/105 Calculate prob of picking 1 x, 2 n, and 1 u when four letters picked without replacement from {b: 1, u: 1, x: 1, y: 1, m: 1, n: 2}. 1/35 Calculate prob of picking 1 c and 1 r when two letters picked without replacement from yyyyrpcnucynyuunyc. 1/51 Three letters picked without replacement from stqsqqqtttssts. What is prob of picking 3 t? 5/182 Calculate prob of picking 1 t and 1 z when two letters picked without replacement from {z: 9, t: 2}. 18/55 Four letters picked without replacement from {i: 7, f: 4}. What is prob of picking 2 f and 2 i? 21/55 Three letters picked without replacement from eywewyeywyuyyw. Give prob of picking 1 u, 1 e, and 1 y. 9/182 Three letters picked without replacement from vyccyyvcvvy. What is prob of picking 3 c? 1/165 What is prob of picking 2 l and 1 r when three letters picked without replacement from {l: 14, r: 1}? 1/5 Calculate prob of picking 2 u and 1 p when three letters picked without replacement from pupppppupp. 1/15 Three letters picked without replacement from {t: 2, o: 1, q: 1, e: 1}. Give prob of picking 1 e, 1 o, and 1 q. 1/10 Four letters picked without replacement from iiijijiiiiiiiijiiiji. What is prob of picking 2 i and 2 j? 48/323 What is prob of picking 3 t and 1 g when four letters picked without replacement from gtgttgghgtghghhgggh? 10/969 Two letters picked without replacement from kdnbknkgkdkgnkkkkrg. Give prob of picking 1 n and 1 r. 1/57 What is prob of picking 2 j when two letters picked without replacement from {f: 4, j: 9, b: 1}? 36/91 Two letters picked without replacement from hcchchh. What is prob of picking 2 c? 1/7 What is prob of picking 2 e when two letters picked without replacement from egoeegegoeejoe? 3/13 What is prob of picking 1 p and 1 g when two letters picked without replacement from {f: 1, d: 1, p: 2, o: 1, g: 1, z: 1}? 2/21 Calculate prob of picking 3 q and 1 x when four letters picked without replacement from {h: 4, q: 7, d: 6, x: 1}. 7/612 Two letters picked without replacement from ldxhnhhnjnnjndndnhhn. What is prob of picking 1 h and 1 l? 1/38 Calculate prob of picking 2 w when two letters picked without replacement from {r: 2, b: 5, w: 5}. 5/33 Calculate prob of picking 1 a and 2 t when three letters picked without replacement from {t: 2, b: 3, f: 5, a: 3, u: 2}. 3/455 Two letters picked without replacement from fofkffpfpffopv. Give prob of picking 1 k and 1 o. 2/91 Calculate prob of picking 1 d and 1 f when two letters picked without replacement from ooffoododd. 2/15 Four letters picked without replacement from jvuujuju. What is prob of picking 1 v and 3 u? 2/35 Three letters picked without replacement from {f: 3, h: 4}. Give prob of picking 3 h. 4/35 Four letters picked without replacement from aeyaqymemamaq. What is prob of picking 1 a, 1 e, and 2 m? 24/715 Calculate prob of picking 1 d and 1 w when two letters picked without replacement from gnddinrgwnwdwwr. 4/35 What is prob of picking 3 a when three letters picked without replacement from gayggyggaagaygga? 1/56 Calculate prob of picking 1 r and 1 j when two letters picked without replacement from rrtujrro. 1/7 What is prob of picking 2 u and 1 q when three letters picked without replacement from dqqvhuuuuhq? 6/55 Calculate prob of picking 2 h and 1 q when three letters picked without replacement from hdhdqddl. 1/56 What is prob of picking 3 i and 1 j when four letters picked without replacement from {j: 6, i: 6}? 8/33 Three letters picked without replacement from jkewteekekjeejtj. Give prob of picking 1 e, 1 w, and 1 t. 3/140 Calculate prob of picking 1 o and 2 i when three letters picked without replacement from ooiiiiiiio. 21/40 Three letters picked without replacement from {s: 5}. What is prob of picking 3 s? 1 What is prob of picking 1 a and 1 x when two letters picked without replacement from nfnannxananafxnnfn? 8/153 Calculate prob of picking 1 t, 1 c, and 2 o when four letters picked without replacement from cctcpootcpp. 4/165 What is prob of picking 3 d and 1 s when four letters picked without replacement from ddndddddbddsdbd? 11/91 Four letters picked without replacement from voxxxxhh. Give prob of picking 1 x, 2 h, and 1 v. 2/35 Three letters picked without replacement from twytykwtywwwowtoyx. Give prob of picking 1 k and 2 y. 1/136 Three letters picked without replacement from pwpphjpwpw. What is prob of picking 1 p, 1 h, and 1 j? 1/24 Two letters picked without
{ "pile_set_name": "DM Mathematics" }
) = -2*y - 6. Let l be h(-4). Suppose -18 + 0 = 4*f + 2*g, l*f = -4*g - 18. Sort f, j, 0.1 in decreasing order. 0.1, j, f Let i = -2.11 + 2.61. Put -0.5, i, 1, 12 in decreasing order. 12, 1, i, -0.5 Let q(j) = j**3 - 5*j**2 + 5*j. Let g be q(3). Sort -91, -1, g in increasing order. -91, g, -1 Let q = 29 + -53. Let a = 27 + q. Sort -1, -5, a, -3 in decreasing order. a, -1, -3, -5 Let k = 4.9 + -5. Let i = -0.41 + -0.19. Let z = i - -5.6. Sort 2, z, k in descending order. z, 2, k Let r = -507/1255 + 1/251. Let k = -148.5 - -38. Let i = -111 - k. Put 5, i, r in ascending order. i, r, 5 Let l = 49414 + -543123/11. Let t = 39 - l. Sort t, 4, -4, -3. -4, -3, t, 4 Let x be -5 + (-1 - 0)*-1. Let h(d) = -32*d - 769. Let u be h(-24). Sort -2, x, 1, u. x, -2, u, 1 Let x be 3 + (0 - 2/(-1)). Suppose -3*n = 2*p + 4 - 14, -x*n - 3*p = -15. Suppose n = 3*k + 6 + 6. Put -3, k, -1 in decreasing order. -1, -3, k Let f = 9.2 - 60.2. Let n = -52 - f. Sort -4, 4, n in descending order. 4, n, -4 Suppose 3*j + 88 = 4*t, 3*t - 143 = 2*j + 3*j. Let f = 24 + j. Let w be (-228)/(-180) - f/(-6). Sort w, -1, -0.4 in increasing order. -1, -0.4, w Suppose -4*t + t + 16 = 5*d, d + t - 2 = 0. Suppose -d*y + 5*h = h - 16, -3*y + h + 11 = 0. Let n = -1 + y. Put 6, n, 0 in decreasing order. 6, n, 0 Let n(z) = z - 1. Let o be n(-3). Suppose -f = 3*r - 9, 2*f = 6*f + r - 14. Suppose -c = 5*b - 7, b - 6 - 5 = f*c. Sort c, 3, o in ascending order. o, c, 3 Suppose -4*y = y. Suppose o - 18 + 21 = y. Sort -3/7, 0.3, o in increasing order. o, -3/7, 0.3 Let i be ((-18)/5)/3*745/298. Sort i, -72, 5 in increasing order. -72, i, 5 Let k = 160 + -160. Let b = -22 - -26. Sort k, b, 3, -4 in descending order. b, 3, k, -4 Let g = 1106 + -797. Sort g, -3, 0 in decreasing order. g, 0, -3 Let l = -41.8 - -52. Let j = l - 10. Let a be (3/(-18))/((-4)/(-16)). Put a, j, -1 in decreasing order. j, a, -1 Let h(c) = c**2 - 5*c - 8. Let p be h(7). Suppose 4*m = g + p + 17, -4*g = 12. Sort m, -1, 8, 2 in descending order. 8, m, 2, -1 Suppose 3*u = 4*u + 2. Let d be (-18)/(-12)*u/(-1). Put d, -3, 5 in decreasing order. 5, d, -3 Suppose 0 = -5*u + 4*l - 3*l - 7, -2*l - 4 = -u. Put -1, 0, u, 5 in decreasing order. 5, 0, -1, u Let t be 3/((-28)/30 - (-26)/78). Put -131, t, 4, 0 in descending order. 4, 0, t, -131 Let c = -46 - -140/3. Put -4, c, -0.3 in descending order. c, -0.3, -4 Let c = -139 + 136. Suppose -9*w = -10*w + 5. Sort c, w, -4, 3 in increasing order. -4, c, 3, w Suppose 3*w - 3*l = 24, -w + 7*l = 2*l. Let m(v) = -v**2 - v - 5 + w - 8. Let k be m(0). Put -5, -2, k in decreasing order. -2, k, -5 Let i be 540/1989 + 3/(-102)*4. Sort 0, 9, i. 0, i, 9 Let c = -8 - -12. Suppose c*w + w = -100. Let p = -18 - w. Put -3, p, -5 in ascending order. -5, -3, p Let p = -79.79 - -80. Let o = p - 1.21. Sort -0.5, o, -3/4, -3. -3, o, -3/4, -0.5 Let f = 1617/5 + -323. Put f, -0.6, -2, -4 in decreasing order. f, -0.6, -2, -4 Suppose 0 = -5*d + 9 + 1. Suppose k = -d*k - 27. Let m = -9 - k. Put m, -3, -2 in descending order. m, -2, -3 Let s be (-12)/(2 + 2)*4/(-78). Suppose -3*d = -2*d - 13. Put -2/5, d, s in decreasing order. d, s, -2/5 Let o = -2 + 4. Let l = 1584 - 1584. Suppose -1 = -2*i - 3*p, -i - 4*i + 3*p = 8. Sort i, l, o in increasing order. i, l, o Suppose 0 = -2*c - 2 + 10. Suppose -34 = 5*j + 1. Let n = 1 + -1. Sort c, n, j. j, n, c Let n = -0.52 - -0.41. Let v = -0.11 - n. Put -2, 0.3, -1/4, v in decreasing order. 0.3, v, -1/4, -2 Let q = 1 + -14. Let o = -41/3 - q. Put o, -2, -4/7, 0.05 in decreasing order. 0.05, -4/7, o, -2 Let s = -99 - -167. Let h = 67.6 - s. Let o = 0 - 2. Sort h, 5, o in increasing order. o, h, 5 Let d = 59 - 16. Suppose 4*i - d = -5*n, -13 = -i - n + 2*n. Sort i, -1, -2 in decreasing order. i, -1, -2 Let k be 20/6*6/(-16). Let x = -479 - -476. Sort x, 6, -2/3, k in ascending order. x, k, -2/3, 6 Suppose -10*p - 49 = -39. Suppose 2*b + 12 = 5*b. Sort p, b, -3. -3, p, b Let m = 53 - 52. Let z be ((-3)/(-4) - m) + 12/16. Sort -4, z, 1/6, 2. -4, 1/6, z, 2 Let a be ((-10)/(-6))/(10/150). Suppose -21*j = -a*j - 12. Sort j, -5, 3 in increasing order. -5, j, 3 Let o = 1 + -1. Let u(z) = -z + 1. Let f be (-4)/10 + 1 + 26/(-10). Let w be u(f). Sort w, -2, o.
{ "pile_set_name": "DM Mathematics" }
in base 14? 6c7c Convert 11010101010 (base 2) to base 7. 4655 Convert -1831 (base 9) to base 8. -2575 Convert -4040 (base 5) to base 8. -1010 What is 4432 (base 5) in base 13? 386 101011101 (base 2) to base 7 1006 -1001110000 (base 2) to base 14 -328 -1110000100001011 (base 2) to base 4 -32010023 What is 775 (base 13) in base 4? 103333 Convert -1fd (base 16) to base 9. -625 Convert -772 (base 11) to base 2. -1110011110 -168 (base 12) to base 15 -ee -75 (base 10) to base 6 -203 Convert 3414 (base 6) to base 12. 56a What is -8b6 (base 12) in base 8? -2412 What is -10010101110000110 (base 2) in base 12? -3845a Convert -18891 (base 10) to base 7. -106035 -4540 (base 11) to base 12 -3559 -40633 (base 9) to base 6 -323520 Convert -4334 (base 5) to base 4. -21102 Convert -3333121 (base 4) to base 11. -1130a Convert 3 (base 5) to base 9. 3 What is 11001101110001 (base 2) in base 9? 20052 -31793 (base 12) to base 16 -fe1f What is 4ed1 (base 15) in base 6? 205554 Convert 500345 (base 6) to base 11. 27350 What is -19de (base 16) in base 6? -50354 Convert -133134 (base 5) to base 3. -21102201 What is -2231 (base 7) in base 4? -30212 Convert -645 (base 7) to base 15. -16c What is -210201 (base 3) in base 10? -586 16128 (base 11) to base 15 6b38 What is -30210 (base 8) in base 6? -133304 Convert -122001 (base 3) to base 12. -324 Convert -2053 (base 11) to base 5. -41340 Convert 9836 (base 12) to base 2. 100000101101010 Convert 1100202100 (base 3) to base 13. c270 What is 391 (base 15) in base 3? 1010001 Convert 10226 (base 7) to base 16. 9d7 Convert -36 (base 13) to base 6. -113 Convert 1675 (base 9) to base 11. a67 What is -1000 (base 12) in base 13? -a2c What is 5765 (base 14) in base 12? 8951 2021 (base 4) to base 16 89 -bb46 (base 16) to base 2 -1011101101000110 Convert 7a68 (base 15) to base 9. 38558 What is 489 (base 10) in base 16? 1e9 Convert -916 (base 11) to base 12. -782 What is -646 (base 16) in base 14? -82a -14839 (base 10) to base 12 -8707 Convert -1001022 (base 3) to base 7. -2141 Convert -214 (base 14) to base 12. -2a2 Convert 3959 (base 14) to base 3. 111211011 -29 (base 13) to base 4 -203 What is -323013 (base 4) in base 11? -292a 735 (base 12) to base 10 1049 What is -110 (base 3) in base 9? -13 -1484b (base 14) to base 4 -30131103 Convert -358 (base 14) to base 5. -10131 Convert 201010 (base 6) to base 8. 36636 -4a6 (base 11) to base 16 -258 -201e (base 16) to base 12 -4912 Convert -323 (base 14) to base 7. -1543 100101110 (base 2) to base 10 302 What is 326 (base 13) in base 15? 25e What is -2336 (base 15) in base 8? -16464 -1818 (base 11) to base 15 -a48 What is ab8 (base 12) in base 11? 1207 Convert 4413 (base 6) to base 7. 2652 Convert 434334 (base 6) to base 11. 25045 Convert 10220 (base 3) to base 4. 1221 11110201 (base 3) to base 5 101014 What is 144455 (base 8) in base 9? 77573 What is -310 (base 5) in base 11? -73 Convert 580 (base 10) to base 14. 2d6 What is 12935 (base 10) in base 15? 3c75 -243533 (base 6) to base 7 -116634 Convert 100011011 (base 2) to base 11. 238 Convert -110343 (base 6) to base 7. -35562 12012 (base 5) to base 15 3dc Convert 877 (base 11) to base 10. 1052 Convert -145344 (base 6) to base 14. -5248 1a33 (base 11) to base 12 15a9 What is -5707 (base 13) in base 9? -17627 79 (base 15) to base 7 222 Convert 23e1 (base 16) to base 11. 69a0 What is -100100111110 (base 2) in base 4? -210332 What is -419 (base 12) in base 14? -309 What is 397 (base 11) in base 8? 725 What is 681 (base 10) in base 11? 56a 2203 (base 5) to base 4 10233 55 (base 11) to base 5 220 5228 (base 9) to base 3 12020222 Convert -195d (base 15) to base 13. -2662 What is -121021 (base 4) in base 14? -82d -121226 (base 7) to base 4 -11120312 -20111112 (base 3) to base 15 -160e What is -2000000 (base 4) in base 7? -32612 What is 212213 (base 5) in base 8? 16017 What is 1010 (base 11) in base 5? 20332 -38a4 (base 15) to base 2 -10111100101111 4860 (base 12) to base 9 12140 1110001010100111 (base 2) to base 16 e2a7 What is 56773 (base 8) in base 4? 11313323 Convert -350 (base 16) to base 7. -2321 What is 101010100011 (base 2) in base 10? 2723 Convert 11216 (base 7) to base 8. 5447 Convert -1201212221 (base 3) to base 6. -422124 Convert 2041 (base 14) to base 6. 41401 What is -100101110111 (base 2) in base 14? -c51 Convert 144424 (base 5) to base 2. 1100001011111 What is 389 (base 13) in base 8? 1154 Convert 441 (base 5) to base 4. 1321 -650 (base 8) to base 3 -120201 -43aa (base 16) to base 14 -6454 -1301332 (base 4) to base 7 -30160 Convert 2255 (base 7) to base 11. 68a What is -30223 (base 6) in base 11? -2a94 Convert 51575 (base 9) to base 3. 1201122112 -102100001 (base 3) to base 14 -3023 34d (base 16) to base 12 5a5 -43495 (base 11) to base 4 -33122221 Convert 30112 (base 4) to base 5. 11130 Convert -220010 (base 3) to base 6. -3003 20782 (base 12) to base 4 22121102 What is 53264 (base 7) in base 12? 7762 -2601 (base 9) to base 15 -89a -2002200 (base 3) to base 5 -
{ "pile_set_name": "DM Mathematics" }
s prime? True Let q(f) = -430*f**3 + 3*f**2 + 3*f + 1. Is q(-1) a composite number? False Suppose -1575455 = -23*b + 491486. Is b a prime number? True Suppose -5*n + 19 = -16. Suppose n*p - 4*p = 111. Is p a composite number? False Let g(y) = 4*y**3 + 173*y**2 + 24*y + 61. Is g(-40) a prime number? False Suppose 0 = -0*c + c - 5. Let y be (0 - 2502/(-15))*c. Suppose x - 226 = -3*z, z + y = 4*x - z. Is x prime? True Let l(f) be the second derivative of 11*f**4/6 - f**3/3 + f**2/2 - 15*f + 2. Suppose 5 = 5*w, -2*c + w = 2*w - 5. Is l(c) composite? True Is 324/108*3/((-9)/(-6127)) composite? True Let x(u) = 6715*u + 381. Is x(8) composite? False Let f(q) = q**3 - q**2 + q. Let u(c) = -31*c**3 + 3*c**2 - 4*c + 1. Let z(n) = -3*f(n) - u(n). Let p(j) be the first derivative of z(j). Is p(-1) prime? False Suppose 0*f = -f - 12. Let o be (-90)/8 - (-9)/f. Is (-8)/o - (-259)/3 composite? True Let v be (-4)/(-7)*(-42)/(-12). Suppose 3*l + r = -2*r + 4644, l + v*r - 1553 = 0. Is l prime? True Suppose -4*b - w = 5269, -w = -4*b + 2*b - 2633. Let v = -780 - b. Is v a prime number? False Let h be (-17)/(-119) - 26/(-14). Suppose -1207 = -3*x - h*b, -5*x + 3*b - 4*b = -2007. Suppose 0 = 4*p - 443 - x. Is p prime? True Suppose 0 = -19*r + 114405 + 21464. Is r prime? True Let m(p) = -843*p - 13. Is m(-4) prime? True Let u(g) = 24*g**2 - 2*g - 11. Let f be u(4). Let z = -42 + f. Is z a composite number? True Let x(w) = 101*w + 1. Let j(m) = 3*m + 7. Let f be j(-3). Let i be x(f). Let a = -74 - i. Is a composite? False Let f = 6 + -4. Suppose 0 = -f*a + 3*a - 5. Suppose m + q + 394 = 3*m, q + 991 = a*m. Is m prime? True Suppose 10 = -4*w - 10. Let l(y) = -y**3 - 2*y**2 + y - 5. Is l(w) composite? True Let a(z) = 388*z**2 - z - 1. Let u be a(-1). Suppose o - u = 591. Is o a prime number? False Let s(g) = g + 13. Let z be s(-11). Let w be (1 - 27)/z + 3. Is w/(-4*1/10) a prime number? False Let y(s) = 4*s**2 - 6*s + 0*s**2 - 10 - s**2. Let j = -531 - -522. Is y(j) composite? True Suppose 112 + 97 = i. Is (1 - 2)*i/(-11) a composite number? False Let y be -1 + 12 + 3 + -7. Suppose 6*f - y*f = -1087. Is f a prime number? True Suppose 3*s - 4 = 11. Let g(x) = x + 3. Let m be g(s). Suppose m*y - 10*y = -382. Is y prime? True Let w = 3 + 0. Suppose 2*v + 2*v - a = 732, 0 = w*v + 4*a - 549. Is v a prime number? False Is 14/(-63) + 19257/27 prime? False Let b(u) = -4*u**3 - 19*u**2 - 19*u + 3. Is b(-16) a prime number? True Let y(k) = -5*k + 59. Let c be y(11). Suppose 2*u + 1780 = 6*u - c*h, 0 = u - 4*h - 451. Is u a prime number? True Is 8/(-4) + 61743 - (-3 + 3) a composite number? True Suppose -3*x + 10*d - 9*d + 266166 = 0, 5*x - 443602 = -d. Is x a composite number? False Let t(g) = -45*g - 43. Let o(j) = -23*j - 22. Let l(m) = 5*o(m) - 3*t(m). Let u be l(13). Suppose 5*c - u = 1526. Is c composite? True Suppose -930*c + 238552 = -922*c. Is c a prime number? True Suppose -81 - 2523 = -4*p. Suppose 3*n - 3*b = 2*b - 15, -4*n + 3*b - 9 = 0. Is n + 1 + 3 + p prime? False Is (-2 + -1)/(-2 - (-2795)/1399) composite? False Let s = 95 - 91. Suppose 7*c = s*c - 2*g + 1491, 5*c - 2501 = 2*g. Is c composite? False Let b be (12/(-8))/((-3)/10). Suppose -3716 = -b*w + 219. Is w prime? True Is ((-72)/(-60))/(9/((-718020)/(-8))) a prime number? False Is (55/22)/(((-4)/5752)/(-1)) a composite number? True Suppose 0*z = -2*z + 916. Let w = z + -135. Is w a composite number? True Let p be -9 + (-4 - 0) + 5. Let h = p - -12. Suppose -h*i + 6*i - 174 = 0. Is i a composite number? True Let p = 35 - -3305. Suppose -2*n = 4*f - 1000 - 670, 0 = -4*n + 3*f + p. Suppose -264 = 5*c + 2*w - n, -15 = -5*w. Is c a composite number? False Is (-5959)/(-7) + (-14)/49 a prime number? False Let y(s) = -2331*s + 21. Let p(h) = 212*h - 2. Let i(u) = 56*p(u) + 5*y(u). Let j be i(3). Suppose -x + j = 3*x. Is x a composite number? True Let q = 29 - 27. Suppose p - q*p = -5. Suppose -2*d = p*m - 1497, 4*d - 3*d + 4 = 0. Is m a prime number? False Let n = -18010 + 33113. Is n a prime number? False Suppose -10237 = -a + 1626. Is a composite? False Let o = 62 + 42. Suppose -b = 3*b - 5*i + 521, -4*i - o = b. Let q = 227 + b. Is q composite? False Let i(d) = -170*d + 89*d - 3 + 12 - 91*d. Is i(-5) prime? False Let i(h) = -h**3 - 4*h**2 - 3*h - 5. Let l(z) = z**3 + 6*z**2 - 5*z + 6. Let n be l(-7). Let w = 3 + n. Is i(w) prime? False Let s be (111/4)/(36/48). Suppose w - 162 = s. Is w a prime number? True Let l(g) = -6*g**2 - g - 6. Let y(p) = p**3 + 12*p**2 + 3*p +
{ "pile_set_name": "DM Mathematics" }
closest to 17 in 0.2, 1, 0.03, -0.6, 5? 5 Which is the nearest to -1/3? (a) 0.5 (b) -31 (c) -0.1 (d) 0.2 (e) -8/23 e What is the nearest to 0.1 in 1, 6, 0.3, -926? 0.3 What is the nearest to 1/5 in -522, 6, 0.5? 0.5 Which is the nearest to 3993? (a) 5 (b) 3/7 (c) -2 a Which is the closest to -0.047? (a) -0.59 (b) -2 (c) -0.5 c Which is the closest to -1? (a) 25.3 (b) 6 (c) -0.5 (d) 4 (e) -0.1 c Which is the closest to 24? (a) 0.5 (b) 2 (c) -21 b What is the closest to 2 in -0.02, -0.18, -2, 2/3? 2/3 What is the nearest to 5 in 3, -126.39, -0.4? 3 What is the closest to -3 in 18.1, 1, 3, 2, -2? -2 What is the nearest to -1 in -3, 0.2, 437, 2/15? 2/15 Which is the closest to 1/7? (a) -0.4 (b) -418 (c) 2 (d) -3/2 (e) 1 a Which is the nearest to -2/7? (a) 0.3 (b) -254 (c) -0.02 (d) 0 (e) 0.02 c What is the closest to 1 in -3/4, 31/4, 2, -15/38? 2 Which is the closest to 1? (a) -8/7 (b) 1/2 (c) 6 b Which is the nearest to -2? (a) -3 (b) -2/19 (c) -0.033 (d) 0.63 a Which is the closest to 274? (a) 13 (b) 3/7 (c) -0.3 (d) -0.5 a What is the nearest to 37 in -2/3, -19, 40? 40 What is the closest to -2 in 5, 215, 7, 0.02? 0.02 What is the nearest to -1 in 0.198, 0.1, 0.4, 1/15? 1/15 Which is the nearest to -5? (a) -1973 (b) 5/4 (c) -11 c Which is the closest to -2? (a) -1 (b) -5 (c) 875.2 (d) -1/7 (e) 2 a What is the closest to 76 in 45, -3, -1? 45 Which is the nearest to -2? (a) -7 (b) -0.06 (c) 357 (d) -1/9 d Which is the nearest to -9? (a) 5 (b) 72.1 (c) 4 c What is the closest to 0.2 in 2, -2/2197, -0.3, -4/5? -2/2197 What is the closest to -129 in -2/9, 0, -131? -131 What is the closest to 1 in -5, 99/4, -3? -3 Which is the nearest to 1/4? (a) -124 (b) 13 (c) -2/11 (d) -1 c What is the closest to 11 in -3, 13, 4? 13 What is the closest to 1/3 in -1, 0.4, 0.3, 4, 4.5? 0.3 What is the closest to 0.3 in 0.21, 2/5, 1, 8/5? 0.21 Which is the closest to -2/3? (a) 2.3 (b) 7/5 (c) 2 (d) -14 b Which is the closest to 28? (a) -1 (b) -0.0251 (c) 4 c Which is the nearest to -1? (a) -2 (b) 35.3 (c) 0.1 (d) 0.3 a Which is the closest to 6? (a) 3/22 (b) 0.01 (c) -2/5 (d) 0.3 (e) -5 d What is the closest to -44338 in 0.01, 4, 5, 0.5? 0.01 What is the closest to 1/3 in 0.1, 0.47, 1, 74? 0.47 What is the closest to 0.29 in -3, 5, 52, -2? -2 What is the nearest to 9428 in 0.1, -5, -0.2? 0.1 Which is the closest to 0? (a) 0.15 (b) 705 (c) 5 a Which is the nearest to 2? (a) -1 (b) -3 (c) -186 a Which is the nearest to 2/3? (a) -2 (b) 0.021 (c) 68 (d) 0.2 d What is the closest to 6 in 5, -2/11, 2279, -5/4, -0.2? 5 What is the nearest to 0.1 in -2/9, 1, 3, -0.5, 1/267? 1/267 What is the closest to 0 in -2/5, 0, 4, -5/119? 0 What is the nearest to -183 in 8, -9, -3, 0.2? -9 What is the nearest to -2/7 in -7, 658, -9? -7 What is the closest to -7 in -15, 5, -0.5, 3? -0.5 What is the nearest to -1 in -0.2, 78, 4, 75? -0.2 Which is the closest to -1? (a) -0.4 (b) 0.17035 (c) -1/4 (d) 0 a Which is the nearest to -2/57? (a) 4 (b) -3/5 (c) 2 (d) 5 (e) -2/9 e What is the nearest to 0.38 in -4, -0.3, -5, 1.6? -0.3 What is the nearest to -4/5 in -4, 0.4, -0.801? -0.801 What is the nearest to 5409 in 0, -4, -1, 4? 4 Which is the nearest to 1/4? (a) 4 (b) 5 (c) 0.5 (d) -0.12 (e) 0.039 e Which is the closest to 0? (a) -4 (b) -2/5 (c) 1 (d) 8 b What is the closest to 2/5 in 1.2, 60, -2? 1.2 Which is the nearest to 0.2? (a) 0.1 (b) 0.4 (c) 539 a Which is the nearest to -9.7? (a) -1 (b) -0.6839 (c) 0.1 a Which is the nearest to 0? (a) -4 (b) 5 (c) 0 (d) -0.0362 c What is the closest to -198/25 in -2/17, 1, -1/7, -0.4? -0.4 What is the closest to -1 in 137, 1/4, -0.4? -0.4 Which is the closest to -0.4? (a) -7 (b) -26/37 (c) 0 (d) 2/13 (e) -2/7 e Which is the closest to -0.1? (a) -12 (b) -7/44 (c) -2/49 (d) -2 b Which is the nearest to
{ "pile_set_name": "DM Mathematics" }
(b) = -21*b + 1. Let n(c) = 2805*c - 816. Let l(t) = 137*t - 40. Let x(o) = -102*l(o) + 5*n(o). Determine z(x(r)). -1071*r + 1 Let l(r) = 267*r. Let n(w) be the second derivative of -1/3*w**3 + 232*w + 0 + 0*w**2. Calculate n(l(h)). -534*h Let l(h) = 165*h. Let j(r) = -638*r**2 + 99*r - 1188. Let t(n) = -13*n**2 + 2*n - 24. Let z(b) = 2*j(b) - 99*t(b). Calculate l(z(o)). 1815*o**2 Let k(d) = -2034*d**2 - 55*d + 5. Let r(b) = 2035*b**2 + 44*b - 4. Let j(g) = 4*k(g) + 5*r(g). Let u(z) = z**2. Determine u(j(x)). 4157521*x**4 Let i(j) = -83*j**2. Let h be 360/54*6/10. Let d(y) = 3 - h + 7 - 6 - 2*y**2. Calculate d(i(w)). -13778*w**4 Let t(x) be the third derivative of -x**5/60 - 6*x**2 - 25*x. Let m(v) = 708*v**2. What is t(m(s))? -501264*s**4 Let g(u) = 9*u - 2. Let z(y) be the second derivative of y**5/60 + 61*y**3/3 - 3*y - 2. Let l(h) be the second derivative of z(h). Give g(l(k)). 18*k - 2 Let q(h) = -h. Suppose 7*p - 18 = 10. Suppose 0 = -p*d + 2*d + 128. Let y(i) = -d - 9*i**2 + 64. What is y(q(l))? -9*l**2 Let b(h) = -79761*h. Let n(i) = 9*i - 4. What is n(b(t))? -717849*t - 4 Let b(g) = -g + 940. Let u(z) = 879*z. Give b(u(v)). -879*v + 940 Let u(i) = 5*i - 6373 + 6373. Let h(y) = -16*y. Let o(l) = 2*h(l) + 7*u(l). Let r(k) = -2*k. Calculate o(r(w)). -6*w Let z(d) = -d. Let j(m) = -m**2 + 13*m + 20. Let t(p) = p. Let k(v) = j(v) + 4*t(v). Let a be k(18). Let n(q) = 0 + 220*q**a - 219*q**2 + 0. Calculate n(z(u)). u**2 Let s(i) = 9*i - 1. Let x(g) = -148333*g**2 + g. Give s(x(w)). -1334997*w**2 + 9*w - 1 Let q(g) be the first derivative of -235 - 63 + 15*g + 4*g**2 + 19 - 15*g. Let f(z) = 3*z**2 + 0*z + 0*z. Determine q(f(i)). 24*i**2 Let s(k) = 2024162*k**2. Let c(m) = -18*m. Determine c(s(j)). -36434916*j**2 Let y(k) = 11*k. Let s(r) = 8385436*r. What is y(s(z))? 92239796*z Let s(c) = 3*c**2. Let w(n) = 1909*n**2 + 1905*n**2 + 2*n + 51 - 3811*n**2. Calculate w(s(j)). 27*j**4 + 6*j**2 + 51 Let q = 42/365 - -29/2920. Let l(k) be the third derivative of 0 + 18*k**2 + 0*k + 0*k**3 + q*k**4. Let w(d) = -4*d**2. Determine w(l(h)). -36*h**2 Let v(f) = -2*f + 1535. Let j(z) = z - 755. Let h(a) = 13*j(a) + 6*v(a). Let l(y) = -y**2. What is h(l(g))? -g**2 - 605 Let q(f) = f**3 - 16*f**2 + 13*f + 32. Let p be q(15). Let v(o) = -12*o**p - 25*o**2 + 23*o**2. Let y(c) = 2*c. Determine y(v(z)). -28*z**2 Let s(j) be the second derivative of -j**4/3 - 117*j - 2. Let w(u) = -123*u**2. Calculate s(w(h)). -60516*h**4 Let n(l) = 8*l. Let d(a) be the first derivative of -10*a**2 - 2*a - 771. Calculate n(d(k)). -160*k - 16 Let z(v) = 6*v**2 + 18*v - 18. Suppose 5*s - 92 = 4*y, 2*y - 4*s = -0*y - 52. Let m(t) = t - 1. Let g(x) = y*m(x) + z(x). Let r(j) = 5*j**2. Give g(r(b)). 150*b**4 Let t(i) be the first derivative of -i**3/3 - 2145. Let w(h) = 5978*h**2. Give t(w(d)). -35736484*d**4 Let x(f) = -f. Let d(u) = -4934319*u + 2. What is x(d(c))? 4934319*c - 2 Let o(n) = -n**2. Let i(f) be the first derivative of 22*f**3/3 + 7*f**2/2 + 715. What is i(o(y))? 22*y**4 - 7*y**2 Let w(k) = 1307*k**2. Let f(s) = 6*s**2 + 9*s**2 + 35*s**2 - 51*s**2. What is w(f(l))? 1307*l**4 Let c(t) = 70*t**2 - 35*t**2 + 40*t**2 - 36*t**2 - 36*t**2 - 2. Let z(d) = -d. Let g(p) = 4*p. Let b(r) = g(r) + 3*z(r). Determine b(c(s)). 3*s**2 - 2 Let g(p) = -p + 35 + 4*p - p. Let f(v) be the second derivative of -v**4/12 - v + 66. Calculate g(f(q)). -2*q**2 + 35 Let v(d) = 3809665*d**2. Let b(w) = 2*w**2 - 74. Give b(v(z)). 29027094824450*z**4 - 74 Let h(x) = -17*x. Let f(l) = 227431*l**2. Calculate f(h(q)). 65727559*q**2 Let a(q) = -19 + 21 - 2 - 7*q. Let p(w) be the third derivative of 0 + 0*w**3 - 6*w**2 + 0*w - 1/12*w**5 + 0*w**4. Calculate a(p(y)). 35*y**2 Let w(i) = 87*i - 1. Let z(a) = -4874*a. Determine z(w(r)). -424038*r + 4874 Let w(k) be the third derivative of 7
{ "pile_set_name": "DM Mathematics" }
ich is smaller: y or 2/7949? y Let l = 331/3325 + 1/175. Let z(m) = 2*m**2 + 33*m + 15. Let f be z(-16). Is l less than or equal to f? False Suppose -107*n - 93 = -104*n. Let r = 27 + n. Let i be 22/r*6/(18/(-3)). Is 5 less than i? True Let j = 71.5 - 71.5471. Let p = 12.9529 - j. Is 3 equal to p? False Let n = -19205/63 - -2750/9. Let t = 1 - 1. Is n at least as big as t? True Let d = -47095/579124 + -1/13468. Do -5 and d have the same value? False Let i = -25.33 + 0.33. Let y = -110.5 + 138. Let q = i + y. Which is smaller: q or 0? 0 Let s(u) = -u**3 - 10*u**2 + 13*u - 13. Let t be s(-11). Let k be (-14)/t + -521*2/2580. Which is greater: -1 or k? k Let c = -10999/39 + 282. Let t = 809 - 2513/3. Let h = 28 + t. Is c smaller than h? False Let o = 39831 - 38916. Are 15 and o equal? False Suppose -403*l + 6440 = -357*l. Is l at least 138? True Suppose 110150 = -203*t + 700474. Is 2905 less than t? True Suppose -j = 4*a + 3, 8 - 23 = 5*j. Let y = -230774 - -233081821/1010. Let m = 1/10 - y. Is a > m? False Let o = -0.02116 - -0.02116. Which is bigger: 249 or o? 249 Let x = -261.078 + -3.922. Which is greater: x or -0.2? -0.2 Let f be 1/((-2)/12) + (-6880)/(-1118). Which is greater: f or 15/7? 15/7 Suppose 0 = 37*r - 40*r + 1104. Let x = -366 + r. Is 4 smaller than x? False Suppose 5960 + 6265 = -5*t - 4*u, u - 7352 = 3*t. Is -2450 <= t? True Suppose -126 = -5*c - 116, 5*w - 4*c = -83. Which is smaller: w or -153? -153 Let l(c) = -c**3 - 33*c**2 - 59*c + 95. Let y be l(-31). Let b be 1/y*(-506)/391. Which is bigger: b or 0? 0 Let c = -307 - -299. Let r(n) = 23*n + 56. Let z be r(-2). Which is smaller: c or z? c Let y(v) = v**3 + v**2 - v + 18. Let w be y(0). Suppose 9*c - w*c = 0. Suppose h + 6*h - 7 = c. Which is smaller: 3/2 or h? h Let g(i) be the third derivative of i**5/60 + i**4/2 + 9*i**2. Let f be g(-11). Let b be (5/f)/5 + 1. Is b < 1? True Suppose -3*t = -s - 53, -5*s + 170*t - 175*t = 205. Is -61 bigger than s? False Let p be 83/2*(-3 + 1). Let b = -56512 + 56428. Which is bigger: b or p? p Let o = -24/3085 + 19471/4485590. Are 1 and o equal? False Let h = 3.1679 - 0.1679. Let w = -4 + 3. Let r = w + 1.02. Is r at most as big as h? True Let r = 4.7 - 5. Let g(u) = 57*u**2 + 5757*u - 36. Let w be g(-101). Which is smaller: r or w? w Let c = -258459/88 + 2937. Let h(k) = -131*k + 262. Let m be h(2). Which is smaller: m or c? c Let z be (-20)/(-8) - (-41211)/38. Which is smaller: z or 1086? 1086 Let t = -0.18247 + -0.31753. Do t and -2.772 have the same value? False Suppose -5*k + 3*c = 60, -4*k + k - c = 50. Suppose 0 = -4*l - 9 + 29. Suppose -4*v + l*v + 16 = 0. Which is smaller: k or v? v Let c be (-5320)/36 + (-12)/54. Is -151 < c? True Let p = -69 + 88. Suppose u - 3*y = -p, 30 = 2*u - 4*u + 4*y. Is 0 bigger than u? True Let o = -39/116 + 1/4. Suppose 84*f - 7 + 91 = 0. Is o not equal to f? True Let o be 0 - (-1)/(27/(-1089984)). Let b = 3512060/87 + o. Let h = -24/29 - b. Which is greater: 0 or h? h Let b = 8.551 - -295.449. Which is smaller: 5/2 or b? 5/2 Let x(d) = d**3 + 8*d + 17. Let s be x(0). Suppose -s = 62*k - 79*k. Does 19 = k? False Suppose 685 = 3*m - 33*h + 28*h, 2*m - 456 = 3*h. Which is smaller: 223 or m? 223 Let d be -2*(-27)/18 + -1 + 14. Are 15 and d non-equal? True Let q = 18613.4318 + -18613. Which is smaller: -2/3 or q? -2/3 Let q be -39 + 37 + 1 + -145. Let c = q - -141. Is c greater than or equal to -23/5? False Let s = 233.078 + -0.078. Let j = s + -329. Is j less than -2? True Let z(h) = 7*h + 23. Let k be (-2 + (-2 - -2))*(-45)/10. Let w be z(k). Let p = w - 523/6. Which is smaller: -1 or p? p Let q be ((-29)/7 - -3) + 87/609. Is q != -1/436? True Suppose 11*l - 33560 = 3*l. Suppose -41*t - l = 1873. Which is bigger: t or -146? -146 Let r = 3662 - 3662.08. Is 3/8 > r? True Let c = 0.026 + 26.974. Let l = -26.943 + c. Let g = -0.257 + l. Are g and -0.8 non-equal? True Let b = 30 + -31.9. Let g = 5.43 - 5.43. Which is bigger: b or g? g Let f = 66 - 143. Let p = 78 + f. Which is greater: 2/1335 or p? p Let z be -2*1 + (5 - 18/(-2)). Suppose 0 = -u - 5*q + 25, 16*q - z*q = u + 2. Suppose 2*k + 152 - 8 = -4*h, 0 = 5*k - u. Is h <= -37? True Let b = 7875223/286020 + -48/7945. Let w = 106/9 - b. Is -17 smaller than w? True Suppose 6*y - 968 = -728. Let w be (6 - 32/y)*5. Which is greater: w or 29? 29 Let c be (-1960)/300 + (-95)/(-15). Is -2660 greater than or equal to c? False Let w = -13.996 - -14. Let m = 3.896 + w. Let d = -1.2 + m. Which is bigger: d or -0.1? d Let u = -11943 - -12515. Which is bigger: u or 571? u Let y = 11 +
{ "pile_set_name": "DM Mathematics" }
z(g) = 2*g**3 + 5*g**2 - 403*g + 5. Let s be z(13). Solve -s*b = 4*w + 11, 0 = 2*b + 3*w + 3 for b. -3 Let q be 6 + -9 - (-2 - 3). Suppose 3 = -s + q. Let r be (1 - -1)*(2 + s). Solve 2*w = -r*k + 18, 0*w - 2*w + 10 = 0 for k. 4 Let l(k) = 4*k - 10. Let m be l(3). Let b be m/10*-67 - 3/5. Let y = b - -28. Solve 4*z = -4, 0*n + 2*z = 3*n - y for n. 4 Let n(o) = 49*o + 2409. Let k be n(-49). Solve d + k = 3*d, 0 = 4*a - 2*d + 16 for a. -2 Let h be -1*(8 + -6)/((-4)/6). Suppose 3*t - 552 = -4*l, 5*t + 75 = 4*l + 963. Suppose -t = h*p - 8*p. Solve 6*j + 5*b = 3*j - 37, -4*j - 4*b - p = 0 for j. -4 Suppose 17*s + 45 = 26*s. Suppose 14*n + 4*w - 68 = 10*n, 0 = -s*n - 3*w + 81. Solve n = -3*j, y - 20 = 5*j + 1 for y. -4 Let z(t) be the second derivative of -t**5/20 + 11*t**4/12 - t**3/2 + 18*t**2 + 35*t. Let y be z(11). Solve -5*b = 5*x + 2 + y, 3*b = -5*x + 3 for b. -4 Let r = -57 - -57. Let k be r/1 + (-4 - -3) + 2. Let h be (18/(-4))/(k/(-2)). Solve -24 = 4*g - 0*t + t, g + t = -h for g. -5 Let y be 0/(1*12/4) + 19. Suppose y*s + 4 = 21*s. Solve -8*x + 3*x + 5 = 0, -s*x - 13 = -5*r for r. 3 Let g = -164 + 152. Let w be ((-42)/(-4))/(-7)*56/g. Solve 3*h + w = -4*i, 2*i = -2*h - 0*h - 4 for i. -1 Let z(c) = 4*c**3 - 45*c**2 + 92*c - 46. Let s be z(1). Let p be -2*(0 - 30/4). Solve -5*w = p, 0*l - s*l + w - 2 = 0 for l. -1 Suppose 14*v = 37*v - 46. Suppose -4*g - 5*q = -15, -q = 5*g - 0*q - 24. Let o = 160 - 159. Solve u + v*f = -g + o, u + 1 = -f for u. 2 Let j(d) = 2*d**3 + 34*d**2 - 217*d + 70. Let a be j(-22). Solve -16 = -4*u - 4*p, a*u + 5*p = -0*p + 18 for u. 2 Let u = -3559 + 3580. Let d be 1 - (12 + 1 + 0). Let x = -6 - d. Solve x*o - 2*o = -c - 10, 5*o = 3*c - u for o. -3 Suppose -18 = -5*i + 2*g, 3*i - 2*i = -3*g - 10. Let f = -108789 + 108794. Solve -3*d = f*v - d + 18, 0 = -v - 2*d - i for v. -4 Suppose 9 = 84*q - 463 - 116. Solve 2*p = -t, q*t = 2*p + 4*t for p. 0 Let n(f) = f**2 + 133*f + 4217. Let z be n(-81). Solve 3*w = -2*v + 18, -z*w - 5 + 48 = -v for v. -3 Suppose 23*a + 0*a = -7*a. Suppose -24 = 4*x + 20. Let i = x + 15. Solve -i*o - 8 = -3*m - 2*o, -2*m - 3*o + 14 = a for m. 4 Suppose -5*i + f - 1 + 22 = 0, 5*i = -f + 19. Let u be i/(-3)*(-18)/12. Solve 0 = 2*w + 2, -u*w = -2*v + 5 - 1 for v. 1 Suppose -2*y + 20 = 3*y. Suppose 0 = -63*p + 43*p + 200. Let z be (-9)/((-1)/(10/(-15))) + p. Solve 3*l = y*i + l + 12, l = z for i. -1 Suppose -9*l + 147 = -69. Let o be 1*2*l/80*15. Suppose -51 = -o*x - 15. Solve 0 = 5*q + x*r - 6, 0 = -r - 0 - 1 for q. 2 Let d = 15821 + -15821. Suppose 1 = w - 1. Suppose -w*q = -4*y + 16, 2*y - q - 4*q - 8 = d. Solve -3*f - 2*k - 2*k = 21, f + y*k + 15 = 0 for f. -3 Suppose 5*w - 2*v = 28, 2*w + 5*v - v + 32 = 0. Solve -2*i - 3 = -3*y + w*y, -3*i - 9 = 0 for y. -3 Suppose -5*r = 25, o + r = -2*o - 107. Let a be (-4)/(-10) - o/(-10). Let u be -1*(a - 4/2). Solve 4*t + u = 5*w, 4*t + 6*w - w = 5 for t. 0 Let z be (-51)/9 + 13/(-39). Let a(j) = -2*j - 8. Let h be a(z). Solve 2*s - 2 = -2*c, -h = 3*c + 4*s - 6 for c. 2 Let n = -3407 + 3420. Solve 4*h = 0, 5*w + n*h + 10 = 10*h for w. -2 Suppose 0 = 10*r - 5*r + 950. Let d = r + 192. Solve 0 = 2*v + 2*c + 7 + 5, -15 = d*v + 5*c for v. -5 Let h(j) = -2*j**3 - 12*j**2 - 2*j - 12. Let x be h(-6). Suppose x = -2*g - 6, -3*g = -0*n - 3*n + 51. Solve -i + 14 = -3*v, 5*v + 4*i = 3*v - n for v. -5 Let x(s) = -s**2 + 4*s - 2. Let h = 3 + -1. Let o be x(h). Let u be ((-4)/(-6))/((-27)/(-162)). Solve -3*i + u*a = 16, 2*i + 5 + o = -a for i. -4 Suppose -34*y = -36*y + d, -2*y - 20 = -6*d. Solve 16*h - 14*h - 5*t + 17 = 0, 0 = 3*h + y*t - 3 for h. -1 Let w(z) = 4*z**2 - z - 9. Let k be w(6). Suppose 8*y + k - 161 = 0. Solve -2*f + 0*j - 8 = j, y*j = 5*f - 6 for f. -2 Suppose 0 = 2*c - v - 11, 3*c = v - 0*v + 17. Let s be (36/c)/(1*(1 + 1)). Suppose -11*a + s*a + 32 = 0. Solve -b - 21 = -5*q, a*b + 1 = 3*b + q for b. 4 Let m(n) = 7*n
{ "pile_set_name": "DM Mathematics" }
1, -3, -30, -79 Put 8, -1, 1.6, 1/4, -4 in descending order. 8, 1.6, 1/4, -1, -4 Sort 8.4, 3, 5.3, 0.06. 0.06, 3, 5.3, 8.4 Put -3, 34, 3, 82, 9 in descending order. 82, 34, 9, 3, -3 Sort 9, -206533, 3 in increasing order. -206533, 3, 9 Sort -46, 1/2, 0, -1/7, -1/3 in increasing order. -46, -1/3, -1/7, 0, 1/2 Sort 5, -17.5, 11, -2/11, -1, -5 in decreasing order. 11, 5, -2/11, -1, -5, -17.5 Sort 2, -0.63, -0.33 in decreasing order. 2, -0.33, -0.63 Put 37, -3, -4, 0, -1, 4 in descending order. 37, 4, 0, -1, -3, -4 Put 36, 1, -4, -1, 5, 54 in increasing order. -4, -1, 1, 5, 36, 54 Sort 38, -18, -3/4, -3, -5/8 in ascending order. -18, -3, -3/4, -5/8, 38 Put 14, 206, -3, 1 in decreasing order. 206, 14, 1, -3 Sort -31, 51, -2, 4, -5, 6 in descending order. 51, 6, 4, -2, -5, -31 Sort 90, -2, -144 in ascending order. -144, -2, 90 Put 2, 4/7, -3.4, 0, -1/4, -3/5 in descending order. 2, 4/7, 0, -1/4, -3/5, -3.4 Sort -4, -20, 10, -2, 34 in decreasing order. 34, 10, -2, -4, -20 Put 2, 33/8, 39 in increasing order. 2, 33/8, 39 Sort 23, -146, 3 in descending order. 23, 3, -146 Sort -3, 21, -1, -2/315 in decreasing order. 21, -2/315, -1, -3 Sort 1, -2, 185, -20, 0 in increasing order. -20, -2, 0, 1, 185 Sort -18, -761, -4. -761, -18, -4 Sort 3/17, -3, 651 in ascending order. -3, 3/17, 651 Sort 2/7, 4, -2/7, 7/37, 2/15, 0.4 in descending order. 4, 0.4, 2/7, 7/37, 2/15, -2/7 Sort -20417, -5, -2, 5, 3 in ascending order. -20417, -5, -2, 3, 5 Sort 0, -25876, 4 in increasing order. -25876, 0, 4 Sort 1/2, -0.2, 359, 3/46 in descending order. 359, 1/2, 3/46, -0.2 Sort -89, 5, -4, 2 in increasing order. -89, -4, 2, 5 Sort -2264, 0, 3, 1 in increasing order. -2264, 0, 1, 3 Put 1130, -2/7, -1/9, -4/7, -2 in descending order. 1130, -1/9, -2/7, -4/7, -2 Sort 3, -124, 4, 2, 5 in increasing order. -124, 2, 3, 4, 5 Sort -3, 4, 8598, 6, -1. -3, -1, 4, 6, 8598 Sort -0.2, -3, -270, 0.5, 0.2, 0.8 in descending order. 0.8, 0.5, 0.2, -0.2, -3, -270 Put 2.5, 236, 4, 0.1, -0.5, 13 in descending order. 236, 13, 4, 2.5, 0.1, -0.5 Put -3/7, -26/83, 1, 1/3, -2/7 in ascending order. -3/7, -26/83, -2/7, 1/3, 1 Sort -135, -48, -3, -4 in ascending order. -135, -48, -4, -3 Sort 1/4, -1/7, -2/15, 10158 in decreasing order. 10158, 1/4, -2/15, -1/7 Sort 1, 915, -8 in ascending order. -8, 1, 915 Put -8/7, 4, 0.15, 2/5, -100/3 in ascending order. -100/3, -8/7, 0.15, 2/5, 4 Put 3, 0.024, 0, 78/7 in descending order. 78/7, 3, 0.024, 0 Sort -2, 4, 79, -33, 9, -4 in ascending order. -33, -4, -2, 4, 9, 79 Sort -13, 12, 3817. -13, 12, 3817 Put -2, 49, 5, -35 in ascending order. -35, -2, 5, 49 Put 1/3, 34389, 0.3 in ascending order. 0.3, 1/3, 34389 Sort -3, -1, -3/757 in ascending order. -3, -1, -3/757 Sort -8, 0.1, -4, -0.03527. -8, -4, -0.03527, 0.1 Put 3/8, 642.9, -3/2 in ascending order. -3/2, 3/8, 642.9 Put -13, 1, 1944 in descending order. 1944, 1, -13 Sort -5, -3/1390, -1/2, 5, 2, -0.1 in increasing order. -5, -1/2, -0.1, -3/1390, 2, 5 Sort -6, 0, -2, -247, -3. -247, -6, -3, -2, 0 Sort 2/345, 3, -5, 1 in ascending order. -5, 2/345, 1, 3 Sort 80, 3, -5, -3, 224, 1 in descending order. 224, 80, 3, 1, -3, -5 Put -0.2, -2/51, -3339 in descending order. -2/51, -0.2, -3339 Put -3, 8, -1, -203, 3, 5 in ascending order. -203, -3, -1, 3, 5, 8 Put 2, 11, 1239 in descending order. 1239, 11, 2 Put -4, -949, -33, 0 in increasing order. -949, -33, -4, 0 Put 6, 14, -50, -3, 2, 3 in decreasing order. 14, 6, 3, 2, -3, -50 Put -1566, 4, 14 in decreasing order. 14, 4, -1566 Put 0, 5, -6, 113, -5 in increasing order. -6, -5, 0, 5, 113 Put -4, -1/12, 1219 in decreasing order. 1219, -1/12, -4 Sort 8, 1820, -3 in decreasing order. 1820, 8, -3 Put 5/6, 8, -34368 in decreasing order. 8, 5/6, -34368 Sort -4687, -4, -1/2, -22, 1/6 in increasing order. -4687, -22, -4, -1/2, 1/6 Sort -4917, 1, -1/3, 0.5. -4917, -1/3, 0.5, 1 Sort -17, 3, 14, -3. -17, -3, 3, 14 Put 0.037, 0, -2, -17 in decreasing order. 0.037, 0, -2, -17 Sort 0.2, -6, 2/5, -2/623, -1/2 in descending order. 2/5, 0.2,
{ "pile_set_name": "DM Mathematics" }
5))? 24 Let d(h) = -2*h + 0 + 12*h + h + 5 - h**2. Let u be d(10). Let z = u + -7. Calculate the remainder when 30 is divided by z. 6 Let k be (4 - 1)*(-4)/6. Let h be -1*(-1 - k) + 103. Let g = h - 55. Calculate the remainder when g is divided by 16. 15 Suppose -3*k = -53 - 52. Calculate the remainder when k is divided by 18. 17 Let f = 85 + -18. What is the remainder when f is divided by 23? 21 Let q = 170 + -83. Let z = -62 + q. Calculate the remainder when z is divided by 9. 7 Let d(t) = -t + 32. Suppose 4*a - 47 = 25. Suppose s + 7 = a. What is the remainder when d(0) is divided by s? 10 Calculate the remainder when (-322)/(-8) + 9/12 is divided by 22. 19 Let g = -5 + 5. Calculate the remainder when (7 - -22) + 1 + g is divided by 8. 6 Let z(x) = x**2 - 8*x + 9. Let q be z(7). Let i be 6/q*(-14)/(-3). Suppose 2 = -3*h + i. What is the remainder when 11 is divided by h? 3 Let z(d) = -d**2 - 3*d + 3. Let p be z(-3). Let t = p + -6. What is the remainder when 6 is divided by ((-2)/5)/(t/30)? 2 Let j = -9 - -22. What is the remainder when 61 is divided by j? 9 Let b(l) = l + 10. Let s(t) = -6 - 3 + 0 - 2*t. Calculate the remainder when s(-7) is divided by b(-7). 2 Suppose -2*c - 18 = -4*o - 4*c, -7 = -o - c. Let u be 12/3 - -2 - o. What is the remainder when 38 is divided by ((-8)/5)/(u/(-50))? 18 Suppose 9 = 4*l + 3*y - 4*y, -2*l + y + 3 = 0. Suppose -n - l*n = -q - 41, 2*n = -q + 25. Calculate the remainder when n is divided by 1/(-2)*12/(-1). 5 Let b = 365 - 212. Calculate the remainder when b is divided by 39. 36 Suppose -4*x + 3*b - 4*b + 11 = 0, -4*b = x + 1. Suppose -23 = i - x*i + 3*r, -3*i + 7 = r. Calculate the remainder when 5 is divided by i. 1 Calculate the remainder when 31 - 0/(-2)*-1 is divided by 17. 14 Let j = 43 + -31. Let b = -15 - -36. Calculate the remainder when b is divided by j. 9 Let r(i) = -i**3 + 6*i**2 - 2*i - 6. Calculate the remainder when 62 is divided by r(5). 8 Let b(q) = -q**2 - 7*q - 1. What is the remainder when 53 is divided by b(-4)? 9 Let p = -6 + 11. Let i(x) = -3*x + 21. Let z be i(7). Suppose 9 + 11 = 2*r + p*q, z = -2*r - 2*q + 32. Calculate the remainder when r is divided by 7. 6 Let i = -1 + 10. Suppose a - i = -4. Let n = 2 + a. Calculate the remainder when 11 is divided by n. 4 Suppose 5*b - 17 = 2*i + 41, 36 = 2*b - 4*i. Suppose -4*y = y - b. What is the remainder when 5 is divided by y? 1 Let h = -10 - -5. Let o(g) = -g**2 - 5*g. Let k be o(h). Suppose -3*y - 2*s = -110, 3*y - 2*s + 22 - 140 = k. Calculate the remainder when y is divided by 13. 12 Let f = 23 + 12. Suppose -5*p + 15 = -5*t, 5*p + 4*t - f = 16. What is the remainder when p is divided by 3? 1 Let t = -230 - 76. Let v(m) = -2*m**2 - 2*m - 3. Let g be v(-3). What is the remainder when (-4)/10 + t/g is divided by 7? 6 Suppose 4*g + 0*g - 5*c = 68, -g = 2*c - 17. Calculate the remainder when g is divided by 10. 7 Let g = -131 - -224. What is the remainder when g is divided by 32? 29 Calculate the remainder when 53 is divided by (-15)/20 + (-59)/(-4). 11 Let p(a) = a**2 + 7*a + 4. Let m be p(-6). Calculate the remainder when m/((-1)/(46/2)) is divided by 16 + -1 + -2 - -3. 14 Let l(j) = -j**3 - 6*j**2 - 8*j - 3. Suppose 4*w + 7 = -3*i, 5*i + 14 = 5*w - 21. What is the remainder when 161/14*(1 + 1) is divided by l(i)? 11 Suppose -5*k + 45 + 30 = 0. Suppose 2*g = 3*y - 257, -y + 84 = -5*g + 4*g. Let q = y - 46. What is the remainder when q is divided by k? 13 Suppose -4*q = -3*j - 2*j + 39, -2*j + 11 = 3*q. Calculate the remainder when 20 is divided by j. 6 Let f = 4 + 0. Suppose -23 = -4*l + 3*t - 3, 2*t = f*l - 20. Calculate the remainder when 17 is divided by l. 2 What is the remainder when 43 is divided by (1 + 0/2)*(12 + 11)? 20 Let z(a) = 3*a - 7. What is the remainder when 24 + (-9)/((-54)/30) is divided by z(5)? 5 Suppose -5*c - 4*t = -326, -5*c - 2*t = -143 - 185. Suppose j + j - c = 0. Calculate the remainder when j is divided by 9. 6 Let y = 155 + -92. What is the remainder when y is divided by 22? 19 Let w(h) = -5*h + 5. Let v = -45 - -19. What is the remainder when w(-4) is divided by v/(-3) - 1/(-3)? 7 Let b = 3 + 18. What is the remainder when 62 is divided by b? 20 Let u(v) = 2*v + 0*v + v**2 - 3 + 5 + 5*v. What is the remainder when u(-7) is divided by 1? 0 Suppose 0 = -4*s + 2*s + 140. What is the remainder when s is divided by 9? 7 Suppose 3*w = 5*z - 85, 4*z + w - 58 = 10. What is the remainder when z is divided by 4? 1 Suppose 3*m - 4*g - 28 = 0, g - 53 = -3*m - 0*g. What is the remainder when 95 is divided by m? 15 Suppose -3*x + 128 = 11. Suppose 0 = 3*a - 105 + x. Calculate the remainder when a is divided by 12. 10 Suppose -4*k + 120 = -k. Suppose 4*f = -8 + k. What is the remainder when f is divided by 3? 2 Let f(b) = -b - 1. What is the remainder when 5 is divided by f(-4)? 2 Let v = 25 - 15. Calculate the remainder when 16 is divided by v. 6 Let o(u) = 10*u**3 - u**2 - 5*u + 6. Calculate the remainder when o(2) is divided by 25. 22 Suppose -9*r + 4*r = -3*g + 38, -4*r = -2*g + 28. Calculate the remainder when g is divided by 3. 0 Let k = 8 - -4. Calculate the remainder when 5 is divided by (k/18)/(6/27). 2 Suppose 5*h + 10 = 0, 0 = 2*j + 3*h - 4*h + 24. Calculate the remainder when 14/8
{ "pile_set_name": "DM Mathematics" }
be 2/7 + k/14. Suppose -6*p - 8 = -l*p, 0 = 4*g - 4*p - 76. Is 17 a factor of g? True Suppose -4*x - 32 = -q, 3*q + x = 4*x + 105. Does 9 divide q? True Let r be -1 - (-347)/(-2)*-2. Suppose 3*d + r = 4*y - 0*y, -174 = -2*y + 2*d. Suppose 5 = 5*i - y. Is i a multiple of 18? True Let p(x) = 0*x - 7*x - 2 + 1. Is 13 a factor of p(-2)? True Let c(i) be the first derivative of 4*i**3/3 - 3*i**2/2 - i + 1. Let j be c(-2). Suppose -5*r + 131 = j. Is r a multiple of 11? True Is (-1)/((-3)/582) + 5 a multiple of 15? False Let z(s) = -12*s**3 + 2*s**2 + s - 5*s**3 - 3*s + 3*s. Is 18 a factor of z(-1)? True Let c(a) = 13*a**2 - 3*a - 4. Is 8 a factor of c(4)? True Let g(d) be the second derivative of -d**4/12 + d**3/6 + 9*d**2/2 - 2*d. Does 3 divide g(0)? True Let i = -2 + 6. Suppose 3*y = -i*z - y + 60, -4*y = -20. Suppose 2*a - s = 11, 3*s + z = 2*a + 1. Is 3 a factor of a? True Let i(h) = 2*h**3 - 2*h**2 + 2*h - 1. Let r be i(1). Let p be -1*(-5 + -1 + r). Suppose 0 = -p*m + 4*m + 26. Does 13 divide m? True Suppose -25 = 5*z + u, -22 = 2*z + 2*u - 4*u. Let r(l) = -l**3 - 5*l**2 - 9*l - 2. Let j be r(z). Suppose 3*m = 15, 5*f + 3 = -5*m + j. Is f a multiple of 12? True Suppose -v + 137 = 49. Does 8 divide v? True Suppose -s - 5 = 0, -5*s = 6*w - w - 435. Let n = w - 52. Does 8 divide n? True Suppose 0 = u + 4*u + 5*q - 50, -24 = -3*u - q. Is u a multiple of 2? False Let t(w) = 9*w**2 + 11*w + 13. Let i(q) = -5*q**2 - 6*q - 7. Let k(o) = 7*i(o) + 4*t(o). Let x be k(-2). Suppose -x*g = -2*g - 16. Is 13 a factor of g? False Does 8 divide (-26)/(-143) - (-1 + (-258)/33)? False Let j(g) = g**3 + 9*g**2 - g + 9. Let n be j(-7). Suppose -n - 34 = -4*t. Is t a multiple of 20? False Suppose 2*d = 3*s + 7, -s + 13 = -2*d - 2*s. Let c be 2/8 + 37/d. Let q = 15 + c. Does 3 divide q? True Let a = -13 + 16. Suppose -3*m + 4*v + 140 = 0, -2*m - 2*v + 190 = a*m. Is 12 a factor of m? False Suppose 12 = -2*t - 0. Is (t/(-5))/((-10)/(-175)) a multiple of 6? False Let z = -7 - -9. Suppose -u + 0 = z, -i = -5*u - 18. Suppose 0 = q - i - 10. Does 6 divide q? True Suppose 0 = -5*d - 0*l + 2*l + 113, -22 = -d + l. Suppose 4 = 4*m, -2*m = 4*i + 2*m - 32. Suppose -s = -i - d. Is s a multiple of 15? True Suppose -14 = 2*a - a. Does 4 divide (-4)/a + 150/14? False Let r(j) = 4*j**2 + j + 2. Is 2 a factor of r(-1)? False Suppose 5*j - 820 = -2*d, -9*j + 820 = -4*j - 5*d. Is j a multiple of 18? False Suppose 3*v = -2*v + 20, -2*l - v = 44. Let f = 38 + l. Is 7 a factor of f? True Let t(b) = -b**2 + 6*b - 4. Let g(c) = -c**2 - c + 2. Let u be g(-3). Let q = 8 + u. Is t(q) a multiple of 4? True Suppose -5*m - 4*q = -198 + 26, q - 178 = -5*m. Is 11 a factor of m? False Suppose 5*s = -67 + 252. Let t = s - 25. Does 11 divide t? False Let d = -107 + 170. Is 7 a factor of d? True Let k be (-4)/10 - (-144)/(-15). Let t = k - -19. Is 5 a factor of t? False Let z be (0/(-2))/(5 + -4). Suppose z = -a + 4*a - 21. Is 2 a factor of a? False Let t(l) = l**3 - 25*l**2 - 24*l + 12. Is 8 a factor of t(26)? True Suppose -z + 350 = -6*z. Let x = -47 - z. Does 23 divide x? True Let c(w) = -2*w**3 - 12*w**2 - 3*w - 2. Is c(-6) a multiple of 8? True Let z(n) = n**3 + 13*n**2 + 4*n - 7. Is 13 a factor of z(-6)? True Suppose 23 = 5*z - 2*o, 6*z - 16 = 2*z + 4*o. Suppose -47 = -2*q - j, -4*j - 32 = -q + z. Does 16 divide q? False Let r be (-2)/(-4) + (-5)/(-10). Let j be 6/r + (-6)/2. Suppose j*x + 2*l = -0*l - 4, 3*l = -4*x - 7. Is x even? True Let b(f) = 2*f**3 - 3*f**2 - 2*f + 2. Let i be b(3). Suppose -4*s + 167 = 4*k + i, 0 = -5*k + 5. Is s a multiple of 9? False Let l(c) = 7*c + 20. Is 17 a factor of l(11)? False Let f(k) = -109*k - 4. Does 26 divide f(-2)? False Suppose 5*b - 1447 = -97. Is 45 a factor of b? True Let r(w) = 6*w**2 - 2*w + 1. Let z be r(1). Let q = 9 + z. Does 14 divide q? True Suppose -2*m = -5*t - 4*m + 85, 5*t + 5*m - 100 = 0. Suppose -14 - t = -g. Is 12 a factor of g? False Does 5 divide (-34)/(-8) + 18/24? True Suppose -5*q = j, -4*q + j + 6 = 3*j. Let g be -2*207/(-6)*q. Does 8 divide (2/(-6))/(1/g)? False Let l = 5 + -8. Let d(t) = t**3 + t**2 - 3*t + 3. Let y be d(l). Is (-16)/24*y/1 a multiple of 3? False Suppose -3*c + 2 = -31. Does 4 divide c? False Let w(t) = t**2 - 3*t + 1. Let c be 2/(6/(-15))*-1. Is 10 a factor of w(c)? False Let u(i) = 10*i + 1. Let d(h) = h + 7.
{ "pile_set_name": "DM Mathematics" }
lve -1507 = 14*c - 1605 for c. 7 Solve 0 = 14*k - 4189 + 4259 for k. -5 Solve 9*v = -33 - 21 for v. -6 Solve -26*t = -31 + 5 for t. 1 Solve 42 + 28 = 10*l for l. 7 Solve 0 = 54*f - 73 + 235 for f. -3 Solve -2*c = c for c. 0 Solve -11*f = 12 + 32 for f. -4 Solve -71*b + 479 = 124 for b. 5 Solve -9*l = 1 - 19 for l. 2 Solve -864 = -7*i - 864 for i. 0 Solve -120 = -99*g + 114*g for g. -8 Solve -3*y + 2*y = -3*y for y. 0 Solve -6 = 6*b - 3*b for b. -2 Solve -6*g = 4*g + 40 for g. -4 Solve -8*z - 6 = -6 for z. 0 Solve 2*k + 17 - 25 = 0 for k. 4 Solve 2*j = -6*j - 8 for j. -1 Solve -559*r - 8 = -558*r for r. -8 Solve 0 = -142*o + 176*o - 238 for o. 7 Solve -z = -1 + 2 for z. -1 Solve -203*f = -204*f - 9 for f. -9 Solve 0 = -28*v + 124 - 40 for v. 3 Solve 0 = -3405*k + 3409*k + 12 for k. -3 Solve 234 = 34*j - 4 for j. 7 Solve 171*u - 8 = 172*u for u. -8 Solve 92 = -5*d + 82 for d. -2 Solve 0 = -2*o + 6*o + 12 for o. -3 Solve 0 = 3*f - 4*f for f. 0 Solve 13*l - 4*l = -18 for l. -2 Solve -22 = 40*p - 18*p for p. -1 Solve 0*f = -8*f + 8 for f. 1 Solve 25*x = 7*x + 108 for x. 6 Solve 272 = 9*n + 263 for n. 1 Solve -16*k = -56*k + 280 for k. 7 Solve 76*r + 132 = 54*r for r. -6 Solve 22*n - 28*n - 30 = 0 for n. -5 Solve 18 + 2 = 4*h for h. 5 Solve 10*u + 55 = -25 for u. -8 Solve -63 + 75 = -3*g for g. -4 Solve -2*d + 0 = 6 for d. -3 Solve 0 = -73*q - 237 - 55 for q. -4 Solve -15*g + 38*g = -46 for g. -2 Solve 353*h = 316*h - 111 for h. -3 Solve -26*d = -19*d + 42 for d. -6 Solve 10 = 2*u + 4 for u. 3 Solve -111 = 27*w + 10*w for w. -3 Solve -36 = 11*c - 3 for c. -3 Solve 12*o - 30 = 6 for o. 3 Solve 3*h - 102 + 78 = 0 for h. 8 Solve 32*r = 7 + 57 for r. 2 Solve 0 = 7*t - 5*t for t. 0 Solve 6*x - 445 = -487 for x. -7 Solve -15*p - 177 + 12 = 0 for p. -11 Solve 13 - 17 = -2*u for u. 2 Solve -15*w + 97 = 7 for w. 6 Solve 0 = -114*n + 91*n - 23 for n. -1 Solve 61 + 59 = -30*l for l. -4 Solve 9*i + 1 = -8 for i. -1 Solve 1 = -3*b - 11 for b. -4 Solve 0 = -28*i + 365 - 141 for i. 8 Solve -43*c = -6*c + 296 for c. -8 Solve -57*q + 87*q + 30 = 0 for q. -1 Solve 141 - 96 = -9*m for m. -5 Solve -n - 68 = -64 for n. -4 Solve 0 = 26*i + 37 - 37 for i. 0 Solve -4*z + z = 0 for z. 0 Solve -317*w = -296*w - 42 for w. 2 Solve -10 = -19*o - 181 for o. -9 Solve 9*s + 66 = -2*s for s. -6 Solve 2*u + 0 + 8 = 0 for u. -4 Solve 194*q - 196*q = 4 for q. -2 Solve 5*a - a = 28 for a. 7 Solve 0 = 11*o - 2*o + 9 for o. -1 Solve -46*n - 155 = -615 for n. 10 Solve -63 = 4*x - 59 for x. -1 Solve 5 = 10*f + 25 for f. -2 Solve 0 = -33*p - 15*p - 432 for p. -9 Solve 14 = 13*s - 12 for s. 2 Solve -167*x = -163*x + 20 for x. -5 Solve -t + 2*t = 2 for t. 2 Solve 17 = -8*o + 1 for o. -2 Solve 0 = 27*n - 14 + 122 for n. -4 Solve -3*n - 8 = -5*n for n. 4 Solve -15*d - 39 = -24 for d. -1 Solve -14*x - 83 = 57 for x. -10 Solve -2*w = -6*w - 20 for w. -5 Solve -41*t + 47*t = -48 for t. -8 Solve -r - 17*r = -54 for r. 3 Solve 62*w = 86*w - 120 for w. 5 Solve -13*h + 0 = -0 for h. 0 Solve 178 = 49*t + 521 for t. -7 Solve -18*y - 22 = 4*y for y. -1 Solve -32*t - 166 = -134 for t. -1 Solve 11*z - 95*z - 504 = 0 for z. -6 Solve 0 = -32*l - 4*l - 396 for l. -11 Solve -65*y - 24 = -68*y for y. 8 Solve 16*i + 106 = 58 for i. -3 Solve 0 = 2*j + 6*j - 24 for j. 3 Solve 310*c = 299*c - 55 for c. -5 Solve 13*b - 8 - 83 = 0 for b. 7 Solve 89 = 13*c + 115 for c. -2 Solve 0 = -7*j - 32 - 3 for j. -5 Solve 0 = 10*w - 27 - 13 for w. 4 Solve -5*h + 8 = -9*h for h. -2 Solve w - 114 = -18*w for w. 6 Solve 4*l - 9 = 11 for l. 5 Solve -73*n + 198 - 928 = 0 for n. -10 Solve 11*f = 35*f + 48 for f. -2 Solve 4*t + t = -5 for t. -1 Solve -234*j + 228*j = -24 for j. 4 Solve -5*z - 21 = 16*z for z. -1 Solve -6*z - 33 = -3 for z. -5 Solve 153 = d + 156 for d. -3 Solve -750 = 4*q - 742 for q. -2 Solve 16*n = 21*n for n. 0 Solve 7*u + 12 = u for u. -2 Solve 3*s = 8*s - 10 for s. 2 Solve -9*o - 6*o + 75 = 0 for o. 5 Solve -29*j + 32*j + 27 = 0 for j. -9 Solve 81*g + 30 = 76*g for g. -6 Solve 0 = -x + 97 - 101 for x
{ "pile_set_name": "DM Mathematics" }
11? f Let s(z) = 24*z - 144. Let m be s(6). Which is greater: m or -11/98? m Let d be (-56)/(-2) - (-24)/(12/(-2)). Let o be 4/((-4)/(-5)) - 1. Let l be (-2)/o - (-441)/18. Is l less than or equal to d? True Let i(k) = -4*k**3 - k**2 - 4*k - 1. Let m be i(-2). Suppose 0 = y + 2*j - m, -4*y + j + 112 = 2*j. Does y = 0.01? False Suppose -53*g - 16*g = 22*g + 16*g. Is 10/293 less than g? False Let y = -0.299 + 34.599. Let j = y + -162.3. Is 1/2 greater than or equal to j? True Let s = 7346.85 - 7347. Are s and -455 non-equal? True Let x(p) = p**2 - 12*p + 6. Let y be x(10). Let j be ((-60)/(-70))/(10/y). Is j > -0.1? False Suppose 2*x + 1991 = -9*x. Let u = 182 + x. Which is smaller: u or 6/35? 6/35 Let u = 12 - -4. Suppose 57*v + 67 = 3*s + 56*v, -2*s + 73 = 5*v. Let q = u - s. Which is greater: q or 2/11? 2/11 Let y be 16236/58 + (-16800)/(-1392) + 1 + -13. Is 286 < y? False Let h = -0.07393 - 0.08607. Which is bigger: 241 or h? 241 Let j(o) = 2*o**3 - o**2 - 30*o - 49. Let t be j(-2). Let z(f) = -f - 2. Let w be z(7). Let m = t - w. Is 0 != m? False Let p = -10.233 + 10.933. Which is smaller: p or -191? -191 Let d(w) = -8*w**2 - 44*w + 3. Let a be d(-5). Suppose g = 5, x + 4*g - 17 - 71 = 0. Let m = x + -46. Is a smaller than m? False Let m = 13501 - 13707. Is m less than or equal to -196? True Let z = 1031.1 + -1153. Let s = z + 110. Which is bigger: s or 2? 2 Let c = 0 - 1. Let j = 0 - c. Suppose 3*b = 3*r + 15, -b + 239*r = 237*r - 13. Which is bigger: j or b? j Let r be (2 - -2)/(3/(63/6)). Suppose -4*t + 2 = r. Let d be t/1 + (1 - (-864)/435). Which is smaller: d or 1? d Let d be -2 - ((4 - 4) + 2). Let k be (d - 4)*((-29)/1 - 0). Suppose 5*x - z = -k, 0 = -5*x + 3*x - 4*z - 84. Does -47 = x? False Let s be (-4 - 0)/(-1) + -4536 + -7 + -1. Is -4540 less than s? False Let t be (12/3)/((-1)/(-3)). Suppose 4*r = q - r + t, 0 = 3*r - 9. Let h = 35197 + -35193. Is q at least as big as h? False Let j = -61 + 61. Suppose 2*y - 19 = -9, j = -2*l - 4*y - 92. Let c = 57 + l. Which is greater: c or 2/101? c Let p = -6104 + 6121. Let h be (3/2)/((-2)/4). Let q be p*(-5)/(-15)*h. Which is bigger: -16 or q? -16 Let p be ((-36)/24)/((-3)/12*6). Is 7/696 > p? False Let n = -1.981 + 0.955. Let v = -2.787 + 2.813. Let x = n + v. Is 23 equal to x? False Let c = -630547/58542 + 237/22. Which is bigger: c or 1? 1 Let h be (60/(-21))/10*-7. Let k be -1*-3*2/h. Which is bigger: -15 or k? k Let w(g) = 3 - 6 + 23*g - 24*g. Let l be w(-8). Suppose l*u + 3*f = 17 + 12, -4*u = -f - 30. Are u and 8 unequal? True Let d = 10861 - 10860.9. Is 5742 < d? False Let p(r) = r**3 - 41*r**2 + 791*r + 9. Let h be p(15). Is 6023 at least as big as h? False Let i = -100 + 99.843. Let b = 0.04 - i. Let p = b - -0.003. Which is smaller: p or 2/33? 2/33 Let v = -190.726 - 0.274. Let d = -192 - v. Which is smaller: d or 18.2? d Let d = 78.11 - -50.89. Is -5 greater than or equal to d? False Let s = 207 - 5797/28. Let f = 11/14 + s. Which is smaller: f or -0.1? -0.1 Let x = -4262/5 - -856. Suppose 0 = d - 27 + 22. Suppose d*c = 20 + 5. Which is bigger: c or x? c Let t = -71.48 - -68.3. Let l = t + 3.18. Which is greater: -5/12 or l? l Let n be 13 - (-3 - -14) - (1 + 10). Let k be (-1)/4 + ((-567)/(-196))/n. Which is smaller: k or 2.1? k Let n(k) be the third derivative of k**5/60 - 3*k**4/8 + 2*k**3 + 26*k**2. Let g be n(7). Let z be (-5 - -3) + 3/9. Do z and g have the same value? False Suppose -2*b + 15 - 11 = 0. Let n be b*(-4 + 3 + (-2)/(-3)). Let x = 534 + -516. Which is greater: n or x? x Let l = -6437.129 - -6437. Which is smaller: 2.7 or l? l Let b be (-2 - 39/(-6)) + 6/(-12). Suppose 0 = x + 3 - 6. Suppose 2*s = d - 5, x*s + 2*d = -6 - 12. Which is smaller: s or b? s Let o(h) = -h**2 + 2*h + 18. Let r be o(5). Suppose -4*v - 2*a = r*a - 184, -46 = -v + 2*a. Is 51 less than v? False Suppose 34*w - 38*w - 20086 = -2*r, -4*w = 3*r - 30189. Which is smaller: r or -1? -1 Suppose -2*c + 126 = -h, 4*c - 184 = -h + 74. Let u = c + -76. Let f be -9 - (14 + u + 5/(-1)). Is f >= -8? True Suppose 0 = -1940*w + 1927*w + 3705. Is 294 >= w? True Let l(s) = 15*s**2 - 17*s - 16. Let k be l(-1). Let d be (-1)/4 + 404/k. Suppose 5*v + 23 - 143 = 0. Is v bigger than d? False Let i = -103/47 - -44205/20257. Are i and 1 unequal? True Let l = -80662 + 80922.816. Let u = l - 269. Let j = -8.2 - u. Which is smaller: 0 or j? j Let y = -15 - -66/5. Let j(c) = -c**3 - 4*c**2 - 46*c - 2. Let h be j(0). Is y > h? True Suppose -132*v + 694 = -71*v -
{ "pile_set_name": "DM Mathematics" }
08)/11*-20. Let b = i - q. What is the closest to b in -0.2, 2/9, 0? -0.2 Let l = 46 + -43. What is the nearest to -0.5 in l, 2, 4? 2 Let w be 92/(-6) - 1/(-3). Let y = -563/238 - -95/34. What is the nearest to w in 4, -4, y? -4 Let d = -99.9 + 105. Let n = d - 5. Let u = -15 - -16. What is the nearest to u in 5, n, 2? n Let z = 251/33 - 80/11. Which is the nearest to z? (a) 10 (b) -0.3 (c) -2 b Let x = -10/9 - -31/36. Suppose n = r + 70, -2*n = 4*r - 5*r - 144. Let g be 8/9*(-37)/n. What is the closest to x in 4, -0.3, g? -0.3 Let u = -395 - -374. Which is the closest to u? (a) 1 (b) -5 (c) -0.1 (d) 2/17 b Let f be -6 - 3/2*-5. Which is the nearest to -2? (a) -4 (b) -3 (c) f b Let i(d) = -3*d**2 + 8*d + 4. Let s be i(3). Let t be (s/(-6))/(1/2). Let b = 2.9 - -0.1. What is the nearest to 2/5 in b, -1, t? t Let t = 0 + 2. Let z = -2.2 - -1.2. Which is the closest to t? (a) -2 (b) -5 (c) z c Let j = -111911/1925 + 407/7. Let v = j + 218/275. What is the nearest to 1 in v, 0.1, -0.4? v Let c be (476/105 - 6) + (-2)/(-15). What is the closest to 1/3 in 0, 0.1, c, 4? 0.1 Let j = 1/1145 + 2283/8015. What is the nearest to -0.1 in 3, -1/2, 1/15, j? 1/15 Let a = 20.6 - 21. Let x = -278 + 276. Let q = -467/15 + 31. What is the closest to -0.1 in a, q, x? q Let h be 930/(-80) + (-6)/16. Let j = -5 - -4.9. Let w be 1/(-3) - 8/(-6). Which is the closest to -0.1? (a) h (b) w (c) j c Let c(m) = m**3 - 7*m**2. Let y be c(7). Let z be -2 + y + (-18)/(-8). Let f be 3/(-5) + (-3071)/(-3735). What is the closest to 2/5 in -2, f, z? z Let l be 6/9 - 4/24. Which is the nearest to l? (a) 0.2 (b) 5/11 (c) 5 b Let z = -3402/5 - -680. What is the nearest to 0 in 5, z, 2? z Let k = 95 - 91. Which is the closest to 2/9? (a) k (b) 0.4 (c) -7 b Let a be 0 + -2 + 6 - 5. What is the closest to a in -0.4, -11, -5? -0.4 Let a be ((-4)/7 - (-66)/42) + -1. What is the nearest to a in 0.1, 0.5, 0? 0 Let f = -0.038 - 0.162. Which is the nearest to -2/5? (a) f (b) 8 (c) -5/2 a Let o = -22.1 - -22.6. Let v = 18 - 23.5. Let f = v + o. Which is the nearest to 0? (a) 4 (b) f (c) 0.04 c Suppose -16 = 5*i + 9. Let s be (5 + i)*2/(-2). Which is the closest to 1? (a) 5 (b) -1 (c) s c Let f = 0.02 + 0.38. Let y be 0 - (-1 - (0 - -12)). Let m = y - 12. Which is the nearest to 2/3? (a) f (b) m (c) 2 a Let w = -226 - -1580/7. Let n = 1 - 2. Which is the closest to w? (a) n (b) 1/6 (c) -3/2 b Let u = -16.2 - -14.2. Which is the nearest to 0.2? (a) 1/4 (b) -1.5 (c) u a Let a be -2 - (4 - 13)/(5/(-5)). What is the nearest to -2/3 in 1, a, 2? 1 Let o = 471 - 329. Let s = -141.6 + o. Let r = -59/6 - -19/2. What is the nearest to r in 4/7, s, -0.3? -0.3 Let h = -0.04 + 0.07. Let g = h + -0.33. Let l be ((-18)/(-21))/((-56)/(-49)). Which is the nearest to g? (a) l (b) 3 (c) 1/3 c Let f = 0.01 - -0.29. Let v = 47.034 - 47. Let d = -0.034 + v. What is the closest to -0.2 in d, 4, f? d Let h = 837 + -4187/5. What is the nearest to -1 in 1/18, h, 2, -2/7? h Let i = -3737/15 - -249. Suppose -5*w + 20 = -2*w - v, 2*v - 48 = -5*w. Let l be ((-1)/18)/(2/w). What is the closest to -0.1 in i, 0.1, l? i Let l = -4/969 + 3896/4845. Let n = -0.1 + 0.12. Let u = n - -2.98. Which is the nearest to -0.4? (a) -2 (b) u (c) l c Suppose 4*s - 14 = -2*o, -3*o + 0*o + 15 = 3*s. Suppose -4*v + 3*i - i = 12, -v - 4 = -i. Which is the nearest to v? (a) -1 (b) 5 (c) o a Let l = -374139/12640 + -1/2528. Let g = -30 - l. What is the closest to -1 in -3, g, 0.4? g Let j = 151/2 + -75. What is the nearest to -2/5 in 0.1, j, -1/4? -1/4 Let n = 0 - -0.5. Let d = -10.34 + 9.34. Which is the nearest to d? (a) 1 (b) n (c) -1 c Let p = -35 + -12. Let f = -46 - p. What is the nearest to f in -1, 4, 0.4? 0.4 Suppose -3*u = -t - 0*t + 3, 5*u - 2*t + 5 = 0. Which is the nearest to u? (a) 1 (b) -1/7 (c) -2 b Let v = -6947.8 - -6948. Let i = -2 + -3. Let y be (-2)/4*(-2)/9. Which is the nearest to 2/3? (a) v (b) y (c) i a Let v be -4 + -1*(-90)/21. Which is the closest to 0.5? (a) v (b) 2/9 (c) 0.4 c Let y = 168.4 - 168.3. What is the closest to 1 in -1/4, 41, y? y Let
{ "pile_set_name": "DM Mathematics" }
3 - 12*w**2. Let g(c) be the second derivative of j(c). Factor g(m). 2*m**2*(m - 3)*(m - 2) What is i in 20*i**5 + 84*i**3 + 31 + 132*i**4 - 3*i - 31 - 356*i**2 + 123*i = 0? -5, -3, 0, 2/5, 1 Let l(f) be the third derivative of f**7/42 - f**6 + 55*f**5/4 - 605*f**4/12 - 106*f**2. Determine s so that l(s) = 0. 0, 2, 11 Let v(b) be the third derivative of -b**7/210 + b**6/120 + b**5/20 - b**4/24 - b**3/3 + 3*b**2. Factor v(m). -(m - 2)*(m - 1)*(m + 1)**2 Let c = 53433/19580 + -3/1780. Factor 18/11 - c*q + 14/11*q**2 - 2/11*q**3. -2*(q - 3)**2*(q - 1)/11 Let n(s) be the first derivative of s**6/30 + 2*s**5/15 + s**4/6 + 3*s**2/2 - 3. Let q(d) be the second derivative of n(d). Solve q(r) = 0. -1, 0 Suppose -53 = 5*x - 4*c, 0 = x - 0*x - 4*c + 17. Let b be -4*(-4)/48 + x/108. Determine l so that 1/2*l**2 + 0*l + 0 + 3/4*l**3 + b*l**4 = 0. -2, -1, 0 Suppose 3*c - 6*c + 3 = 2*g, -4*c = 3*g - 5. Let 0 - 6/7*p - 18/7*p**g + 6/7*p**4 + 18/7*p**2 = 0. Calculate p. 0, 1 Factor -4761/2 + 69*c - 1/2*c**2. -(c - 69)**2/2 Find q such that 12 - 13/2*q - q**2 = 0. -8, 3/2 Let p(a) be the first derivative of a**6/7 + 32*a**5/35 + 27*a**4/14 + 20*a**3/21 - 12*a**2/7 - 16*a/7 - 86. Solve p(q) = 0 for q. -2, -1, 2/3 Let b(v) be the third derivative of 0 - 23*v - 1/6*v**4 - 1/105*v**7 + 2*v**2 + 1/30*v**6 + 1/3*v**3 + 0*v**5. Factor b(k). -2*(k - 1)**3*(k + 1) Let s(q) = q**2 + q - 1. Let f(y) = 30*y**2 - 15*y + 10. Let c(a) = -f(a) + 25*s(a). Let c(b) = 0. Calculate b. 1, 7 Suppose 270 = 4*a - n, 5 = -a + 4*n + 65. Let c = -64 + a. Determine w, given that 1/2*w**c + 1/2*w**2 + 0*w + w**3 + 0 = 0. -1, 0 Let n(j) be the second derivative of 2*j**6/15 + 2*j**5/5 - j**4/3 - 4*j**3/3 - 5*j + 20. Factor n(g). 4*g*(g - 1)*(g + 1)*(g + 2) Let r(l) = 2*l**2 + 4*l + 3. Let h be 2 - (-16)/(-8 - -4). Let u be r(h). Factor 1 - 4*k**2 - 9*k + 5*k + k**3 + 3 + u*k**3. 4*(k - 1)**2*(k + 1) Let h(k) be the third derivative of -k**6/540 + k**5/30 + k**4/108 - k**3/3 + k**2 + 14. Factor h(v). -2*(v - 9)*(v - 1)*(v + 1)/9 Let c = 172 + -170. Let b be (c/3)/(1/60). Factor b*h**2 - 20*h + 5/2. 5*(4*h - 1)**2/2 Let m(o) = -85 - 76 + 163 - 8*o**2. Let n(w) = 1. Let f(j) = 17*j**2 - 3. Let k(q) = -f(q) + n(q). Let d(u) = -6*k(u) + 13*m(u). Factor d(h). -2*(h - 1)*(h + 1) Let o be (-208)/(-144) + ((-2)/15)/((-6)/(-5)). Factor -14/9 + 2/9*p**2 + o*p. 2*(p - 1)*(p + 7)/9 Suppose 136 = -8*y + 13*y + 29*y. Suppose 9/5*s**2 + 4/5 - y*s = 0. What is s? 2/9, 2 Let w(u) be the second derivative of u**7/840 + u**6/480 - u**5/80 - 7*u**4/12 + u. Let f(r) be the third derivative of w(r). What is z in f(z) = 0? -1, 1/2 Let x(f) = -f**5 + f**4 + f**2 - f - 1. Let a(h) = -6*h**5 + 3*h**4 + 2*h**3 + 9*h**2 - 6*h - 7. Let b(m) = -4*a(m) + 20*x(m). Let b(d) = 0. Calculate d. -2, -1, 1 Let f be (-665)/(-6) + 3/6. Let s = 115 - f. Determine p so that 11/3*p - 4/3*p**5 - 13/3*p**4 - 7/3*p**3 + 2/3 + s*p**2 = 0. -2, -1, -1/4, 1 Factor -12*a + a**2 + 3*a**2 - 2*a**2 - 12*a**2 + 12 - 14*a. -2*(a + 3)*(5*a - 2) Let j = -9861/10 + 5343/5. Determine k, given that j*k**2 - 5 + 45/2*k + 35*k**3 = 0. -2, -1/2, 1/7 Suppose 0 = -t + 5*j - 3 - 20, -4*t - 5*j = -33. Factor -1924*q + 2124*q - 40*q**3 - 125 - t*q**4 - 30*q**2 - 3*q**4. -5*(q - 1)**2*(q + 5)**2 Let h = 1384 - 1384. Let t(u) be the second derivative of -3*u**2 + 0*u**3 - 4*u + h + 1/8*u**4. Determine f, given that t(f) = 0. -2, 2 Let u = -4/835 - -1682/2505. Factor 0 - 2/9*i**2 + u*i. -2*i*(i - 3)/9 Let v be (9/((-9)/3))/((-2)/2). Factor 0*x**4 - v*x**3 - 5*x**3 - 3*x**4 - 5 + 6 - 6*x**2. -(x + 1)**3*(3*x - 1) Let r(j) = 8*j**3 - 48*j**2 + 13*j + 69. Let o(b) = 4*b**3 - 24*b**2 + 6*b + 34. Let l(w) = 11*o(w) - 6*r(w). Factor l(v). -4*(v - 5)*(v - 2)*(v + 1) Let w(d) be the second derivative of d**4/30 - 2*d**3/5 + 54*d. Find h such that w(h) = 0. 0, 6 Let q(o) be the third derivative
{ "pile_set_name": "DM Mathematics" }
ided by 2102? 2082 Calculate the remainder when 23176638 is divided by 2897078. 14 Calculate the remainder when 214613 is divided by 30352. 2149 Calculate the remainder when 396177 is divided by 1274. 1237 Calculate the remainder when 12095 is divided by 5610. 875 What is the remainder when 8579109 is divided by 25? 9 Calculate the remainder when 1140486 is divided by 59970. 1056 Calculate the remainder when 79932255 is divided by 319729. 5 What is the remainder when 5391804 is divided by 81692? 132 Calculate the remainder when 1969910 is divided by 1222. 46 Calculate the remainder when 10735914 is divided by 2147178. 24 Calculate the remainder when 35323 is divided by 876. 283 Calculate the remainder when 5631470 is divided by 698. 6 Calculate the remainder when 1781594 is divided by 313. 311 Calculate the remainder when 15580511 is divided by 1731167. 8 What is the remainder when 73174 is divided by 24350? 124 Calculate the remainder when 20838583 is divided by 140. 3 Calculate the remainder when 85731573 is divided by 85731571. 2 Calculate the remainder when 1588767 is divided by 6503. 2035 Calculate the remainder when 351113 is divided by 132. 125 What is the remainder when 385419216 is divided by 3007? 3005 Calculate the remainder when 143537 is divided by 149. 50 Calculate the remainder when 126239956 is divided by 935. 931 Calculate the remainder when 1521695 is divided by 1520481. 1214 What is the remainder when 429741 is divided by 429727? 14 What is the remainder when 164254 is divided by 27141? 1408 What is the remainder when 155263244 is divided by 13? 6 What is the remainder when 278280 is divided by 1920? 1800 What is the remainder when 1505772015 is divided by 56? 55 What is the remainder when 51884072 is divided by 33259? 32 What is the remainder when 235534 is divided by 38047? 7252 What is the remainder when 36036 is divided by 35888? 148 Calculate the remainder when 34748 is divided by 3187. 2878 What is the remainder when 1279 is divided by 598? 83 What is the remainder when 6679665 is divided by 6679658? 7 What is the remainder when 165745 is divided by 12725? 320 What is the remainder when 963235547 is divided by 482? 481 What is the remainder when 1111948 is divided by 555946? 56 What is the remainder when 1133140 is divided by 377203? 1531 Calculate the remainder when 13111715 is divided by 24326. 1 What is the remainder when 270082 is divided by 6034? 4586 What is the remainder when 3613841 is divided by 411? 329 Calculate the remainder when 24361056 is divided by 4016. 0 Calculate the remainder when 25045872 is divided by 686. 12 What is the remainder when 8903347 is divided by 2187? 70 What is the remainder when 650242 is divided by 696? 178 Calculate the remainder when 1648951 is divided by 3559. 1134 What is the remainder when 18169 is divided by 3119? 2574 Calculate the remainder when 3546465 is divided by 2844. 2841 Calculate the remainder when 98898 is divided by 66. 30 Calculate the remainder when 6405 is divided by 6. 3 What is the remainder when 4177 is divided by 3258? 919 What is the remainder when 1156147012 is divided by 66? 64 Calculate the remainder when 17160181 is divided by 114. 103 Calculate the remainder when 16443243 is divided by 1897. 47 Calculate the remainder when 328392111 is divided by 17283795. 6 Calculate the remainder when 21352427 is divided by 372. 371 What is the remainder when 545593 is divided by 1078? 125 Calculate the remainder when 31015283 is divided by 4017. 26 What is the remainder when 864447 is divided by 271? 228 What is the remainder when 1283946 is divided by 1363? 0 What is the remainder when 6625 is divided by 4785? 1840 What is the remainder when 5818179 is divided by 727269? 27 Calculate the remainder when 15409480 is divided by 18521. 8 What is the remainder when 15709300 is divided by 18? 16 Calculate the remainder when 14640689 is divided by 1632. 17 What is the remainder when 1636979 is divided by 818391? 197 What is the remainder when 116721 is divided by 115928? 793 What is the remainder when 851149 is divided by 36? 1 Calculate the remainder when 1910652 is divided by 212289. 51 What is the remainder when 2129287 is divided by 48? 7 What is the remainder when 2440090 is divided by 513? 262 What is the remainder when 386601 is divided by 3235? 1636 What is the remainder when 53729270 is divided by 7247? 12 What is the remainder when 16570651 is divided by 7189? 6 What is the remainder when 109030 is divided by 2234? 1798 Calculate the remainder when 1420797 is divided by 763. 91 What is the remainder when 220718719 is divided by 10? 9 Calculate the remainder when 5449689 is divided by 68121. 9 What is the remainder when 32499 is divided by 10611? 666 What is the remainder when 40432308 is divided by 6738715? 18 What is the remainder when 44172648 is divided by 2452? 2320 Calculate the remainder when 3867186536 is divided by 459. 458 What is the remainder when 92213734 is divided by 14? 4 What is the remainder when 648991 is divided by 916? 463 Calculate the remainder when 19510223 is divided by 243. 239 Calculate the remainder when 132516 is divided by 44092. 240 What is the remainder when 96108530 is divided by 330? 320 What is the remainder when 5316800 is divided by 357? 356 What is the remainder when 66962 is divided by 12218? 5872 What is the remainder when 3270266 is divided by 10? 6 Calculate the remainder when 17475751 is divided by 151961. 236 Calculate the remainder when 439834 is divided by 2631. 457 What is the remainder when 15983 is divided by 13832? 2151 Calculate the remainder when 1370684 is divided by 685. 684 Calculate the remainder when 438067107 is divided by 18. 9 Calculate the remainder when 2865592 is divided by 573106. 62 Calculate the remainder when 9776236 is divided by 173. 6 Calculate the remainder when 1929653 is divided by 964573. 507 Calculate the remainder when 38174871 is divided by 48. 39 Calculate the remainder when 418145 is divided by 1504. 33 Calculate the remainder when 1212324 is divided by 27. 24 Calculate the remainder when 2034403 is divided by 5257. 5201 What is the remainder when 1449323 is divided by 37? 33 Calculate the remainder when 158729057 is divided by 35. 32 What is the remainder when 11064862 is divided by 1605? 1597 Calculate the remainder when 120314 is divided by 941. 807 What is the remainder when 4405670 is divided by 2091? 2024 What is the remainder when 116250202 is divided by 2? 0 Calculate the remainder when 6992592 is divided by 78568. 40 What is the remainder when 7134146 is divided by 146? 2 Calculate the remainder when 27270133 is divided by 13. 7 Calculate the remainder when 408878925 is divided by 1807. 0 Calculate the remainder when 4622376 is divided by 69. 66 Calculate the remainder when 5637284 is divided by 1444. 1352 What is the remainder when 167323 is divided by 83617? 89 What is the remainder when 71877900 is divided by 22? 6 What is the remainder when 521722 is divided by 173854? 160 Calculate the remainder when 710062 is divided by 44342. 590 Calculate the remainder when 25103675 is divided by 8367889. 8 Calculate the remainder when 223664 is divided by 2513. 7 What is the remainder when 6310424 is divided by 462? 428 What is the remainder when 13916 is divided by 13831? 85 What is the remainder when 496828 is divided by 1948?
{ "pile_set_name": "DM Mathematics" }
er. -925, -9, -8, -6, -4, -3, 3 Put 3, 1, 299014, -19 in increasing order. -19, 1, 3, 299014 Sort 0, -5, 6024 in increasing order. -5, 0, 6024 Sort -20, -11/5, -10, -0.1, 2, 0.13 in decreasing order. 2, 0.13, -0.1, -11/5, -10, -20 Put 84, -1, -184661 in descending order. 84, -1, -184661 Sort 29, 298, -0.7, 2, -4, 1/4 in increasing order. -4, -0.7, 1/4, 2, 29, 298 Put -1775, -3, 1352, -2 in increasing order. -1775, -3, -2, 1352 Sort 0, 31187, 86 in decreasing order. 31187, 86, 0 Put 2, 4, 1635, 0.4, 1/5, -38 in decreasing order. 1635, 4, 2, 0.4, 1/5, -38 Sort 5/8, -4.44, -4, -5, 17/5 in descending order. 17/5, 5/8, -4, -4.44, -5 Sort 84, -8, 1, 65, 17, 2, 0.1. -8, 0.1, 1, 2, 17, 65, 84 Sort -1, 110, 0.1, -18, -3, 0 in decreasing order. 110, 0.1, 0, -1, -3, -18 Sort 1/54, 3.6, 1, -5, -55, -1/2 in decreasing order. 3.6, 1, 1/54, -1/2, -5, -55 Put 9373, -4, -10463 in descending order. 9373, -4, -10463 Sort 2, -0.5, -249, 4/3, -3, -1, -4 in ascending order. -249, -4, -3, -1, -0.5, 4/3, 2 Sort -0.03, -2/17, -32, 5/9, 687 in descending order. 687, 5/9, -0.03, -2/17, -32 Sort -489971, -0.6, 0, 53 in ascending order. -489971, -0.6, 0, 53 Put -18/407, -6/7, 4, -76 in increasing order. -76, -6/7, -18/407, 4 Sort 12, -4, 7224, 2, 3. -4, 2, 3, 12, 7224 Sort -106879, 5, 91 in decreasing order. 91, 5, -106879 Sort -5, -6, -2, 432, -34, 4 in ascending order. -34, -6, -5, -2, 4, 432 Put 5, -105, -2, 3, -202/37 in decreasing order. 5, 3, -2, -202/37, -105 Put 5, 0, -12, -617356 in descending order. 5, 0, -12, -617356 Sort 1, 1360, -31609 in descending order. 1360, 1, -31609 Sort 2, 684, 1, -466, -3, 4, 0 in increasing order. -466, -3, 0, 1, 2, 4, 684 Sort -4, 0, 5, 30, -206, -384, -5 in increasing order. -384, -206, -5, -4, 0, 5, 30 Sort 1155, 1, 2, 11, -2, -1 in decreasing order. 1155, 11, 2, 1, -1, -2 Sort -1/12, 5/3, 11681, 4, -0.24 in ascending order. -0.24, -1/12, 5/3, 4, 11681 Sort 23, -8/5, 4425, 0.05, -1. -8/5, -1, 0.05, 23, 4425 Sort 1/203, -1/10, -2/5, 10, 0.058 in decreasing order. 10, 0.058, 1/203, -1/10, -2/5 Sort -0.03, 0, -743/22, -2/5, 0.1. -743/22, -2/5, -0.03, 0, 0.1 Sort 5, 11, 2, 3, -138, 154 in ascending order. -138, 2, 3, 5, 11, 154 Put -7, 22, -1, 18.9 in ascending order. -7, -1, 18.9, 22 Put 2, -1, -103214, -82 in increasing order. -103214, -82, -1, 2 Sort 0.2, 307.212, -5, 1. -5, 0.2, 1, 307.212 Put 24, -0.4, -5, 1/35, 3/2, -1/2 in increasing order. -5, -1/2, -0.4, 1/35, 3/2, 24 Sort -29, -4, 0, 13, 142 in increasing order. -29, -4, 0, 13, 142 Put 1, -5, -2, -3, -1, 6, 7 in descending order. 7, 6, 1, -1, -2, -3, -5 Sort -386, 3/13, 0, -0.4. -386, -0.4, 0, 3/13 Sort -2, -5, 4, -295/7, 0 in descending order. 4, 0, -2, -5, -295/7 Sort -1, 0.063, -0.2, -3/370 in ascending order. -1, -0.2, -3/370, 0.063 Sort 5, -14, -9, 7, 2, 75, 4 in decreasing order. 75, 7, 5, 4, 2, -9, -14 Sort -1/32, 0.15, -577/11, -2/11 in descending order. 0.15, -1/32, -2/11, -577/11 Sort 2/17, -2/1849821, 3/5, 0.4 in increasing order. -2/1849821, 2/17, 0.4, 3/5 Put -58, -20, 704 in increasing order. -58, -20, 704 Sort 43, 0, 244, 3, -1, -61 in descending order. 244, 43, 3, 0, -1, -61 Sort -0.2, -13/30, 2, 1.7149 in decreasing order. 2, 1.7149, -0.2, -13/30 Sort 119, -5, -56690, 3, 0, -3 in decreasing order. 119, 3, 0, -3, -5, -56690 Sort -2/147, -3, -2, -2/9, -0.6, -5 in descending order. -2/147, -2/9, -0.6, -2, -3, -5 Put -1099, -1, 27, 3520 in decreasing order. 3520, 27, -1, -1099 Sort 5, -5, 1, -26, -5872, -2, -8. -5872, -26, -8, -5, -2, 1, 5 Put -4821, -1, 2, 0, -4, -2, -3 in decreasing order. 2, 0, -1, -2, -3, -4, -4821 Sort -1, 114, -36, 4, -2722 in descending order. 114, 4, -1, -36, -2722 Sort -1/6, -7923993, -0.4, -1 in increasing order. -7923993, -1, -0.4, -1/6 Sort -2, -64, 1, -826, 8. -826, -64, -2, 1, 8 Put -1/328, 0.1, 106, -0.4 in descending order. 106, 0.1, -1/328, -0.4 Sort 1/7, -29, -11, -1/5, 61, -0.12 in descending order. 61, 1/7, -0.12, -1/5, -11, -29 Put 0.155, 106, -5,
{ "pile_set_name": "DM Mathematics" }
t s(a) = -2*a**2 - 31*a - 124. Suppose 2*m = 710*o - 709*o - 13, 5*o - 25 = 5*m. What is s(m)? -4 Let a(c) = 4*c**3 - c**2 + c. Let v = -213 - -99. Let s be (1/(3/2))/(v/(-171)). Determine a(s). 4 Suppose v + 1024 = 17*v. Let w(q) = -2*q**2 - v*q + 123*q - q**3 + 3*q**2 - 54*q - 3. Calculate w(3). -6 Let k(j) = j**2 + 10*j - 22. Let f be k(-12). Suppose -5*s + 9 = -3*s + c, -5*c + 35 = 5*s. Let w(d) = -d + f*d - 4 - 5*d**3 - s + 5. Calculate w(1). -5 Let s be (-2)/14 + 45/21. Suppose -5*z = -s*y - 25, -5*y = -4*z + 2*z + 10. Let d(o) = 0*o - 5 + 2 + 1 - o. Calculate d(y). -2 Let i(y) = -y**3 + 30*y**2 - 30*y + 32. Let d be i(29). Let p(b) = -5*b - d*b - 13 + 6*b. Give p(-5). -3 Let j(d) be the second derivative of -d**4/24 - 3*d**3/2 + 17*d**2 - 153*d. Let v(w) be the first derivative of j(w). What is v(9)? -18 Let n(h) = -2005*h + 3988*h - 18 - 2001*h. Give n(-3). 36 Suppose -6*q - 858 + 870 = 0. Let r(n) be the first derivative of 2*n**3 + 3/2*n**q + 1/4*n**4 + 4*n - 31. Determine r(-6). -14 Let j(s) be the third derivative of -s**5/60 - 7*s**4/24 + 5*s**3/3 + 1479*s**2. Determine j(-6). 16 Let i(x) be the first derivative of -x**2/2 - 15*x - 2. Suppose 193*n + 137*n - 114*n = 2592. Give i(n). -27 Let o be -1*1*-5 + 1. Let t(d) be the third derivative of -d**6/120 + 7*d**5/60 - d**4/6 - d**3 - 7*d**2 - 5*d - 717. Determine t(o). 6 Suppose 0 = -8*q + 7*q - 2*f - 8, 0 = 5*q - 3*f - 25. Suppose -2*t = -3*x + 55, q*t = -x - 0 + 5. Let z(l) = 10 + l - 23 + x. Calculate z(2). 4 Let b(h) be the second derivative of -h**5/60 - h**4/12 - h**3/2 - 9*h**2 - h - 2. Let v(m) be the first derivative of b(m). Give v(-5). -18 Let l(n) = -n**2 + 10*n - 30. Let c be 76/(-190)*25/(-2). Let r be l(c). Let d(s) = -s. Give d(r). 5 Let a(r) = 6*r**2 - r - 2. Let b be a(-1). Suppose b*t = -25, 2*t - t + 93 = -2*x. Let d be (x/16 - -3)*12. Let z(n) = n**3 - 4*n**2 + 4. What is z(d)? -5 Let v = 51 - 48. Suppose 0*q + q = -v*q. Suppose q = -0*s - 4*s - 4. Let h(t) = 3*t + 1. Determine h(s). -2 Let d(r) = r**3 + 5*r**2 + 2*r - 11. Let q be d(-3). Let p(f) = 14*f**2 + 3*f - 3. Determine p(q). 14 Let c(p) = -13 + p + 45 - 18 - 16 - 11. Let x be ((-1)/(-2))/(5/60). Give c(x). -7 Let y(g) = g**2 + 3*g + 1. Let p(t) be the third derivative of t**4/24 + t**3/6 - 32*t**2. Let v be p(-4). What is y(v)? 1 Let i(g) = 4 - g - 13*g**2 - 5*g + 194*g**3 - 65*g**3 + 15*g**2 - 96*g**3. Determine i(1). 33 Let c = 5305 + -5302. Let b be 4/(-10) + (-111)/(-15). Let x(d) = d - d**2 + b + d - 3. What is x(c)? 1 Let q(v) be the second derivative of 25*v**3/2 + v**2/2 + 437*v + 1. What is q(1)? 76 Let a(p) = 11*p. Suppose 5*c - 13578*t + 13583*t - 20 = 0, c + 4 = t. What is a(c)? 0 Let t(c) = -2*c**2 - 8*c - 11. Suppose 8 = 41*s - 43*s - 5*m, 4*m + 8 = -2*s. Give t(s). -11 Let t(s) = -2*s - 2. Let n = 98 + -63. Let r = n + -25. Suppose 5*i = 7*i + r. What is t(i)? 8 Let v(h) be the third derivative of -h**6/40 + h**4/24 - 2*h**2. Let b be 20/6 + (-130)/(-78). Let d be ((-3)/(-6))/((-11)/2 + b). Calculate v(d). 2 Let m(b) = b + 17. Let h = 169 + -167. Let r be (-14)/h + 61 + -59. Determine m(r). 12 Suppose -37 = -0*g - 2*g - 5*r, -41 = -4*g + r. Let o(i) = 2 + 4 + 7*i**2 + 3*i**2 - g*i**2. Let x be o(3). Let z(b) = b**2 + 2*b - 4. Determine z(x). -1 Let l(n) = 37 - 23 + 5*n**3 - 7*n**3 - n + 7*n**2 + n**3 + 3*n**2. What is l(10)? 4 Let c(y) be the third derivative of 0 - 1/10*y**5 + 0*y + 7/6*y**3 - 1/6*y**4 - 1/120*y**6 + 33*y**2. Give c(-5). 2 Let f(v) = v + 2. Suppose r = -2*d + 3*r, r - 8 = -3*d. Suppose -2*p - 3*b = 15, -b = -d*p - 0 - 3. Calculate f(p). -1 Let k(o) be the first derivative of o**2/2 + 4*o - 96. Let w be (-5)/(-20) - (-43)/4. Let y(h) = -h**2 + 10*h + 9. Let c be y(w). What is k(c)? 2 Let b(d) = d**3 - d**2 - 2*d + 21. Let n(a) = -2*a**3 - 34*a**2 + 42*a + 108. Let q be n(-18). Calculate b(q). 21 Let g(j) = j**2 + 1. Let b(h) = 4*h**3 - 2*h**2 + h - 2. Let y(r) = -b(r) - 2*g(r). Let q(d) = 4 + 7*d + d**2 - 14 - 9*d - 8*d. Let t be q(11). Give y(t). -5 Suppose -4*b
{ "pile_set_name": "DM Mathematics" }
g(z) = -3*z - 3. Let l(s) = s**2 + 4*s + 4. What is y*l(v) + 4*g(v)? 3*v**2 Suppose 5*s - 2*i = -6*i + 2, 2*i - 16 = 5*s. Let q(b) be the first derivative of 10*b**3/3 - 13*b**2/2 - b - 2. Let f(z) = 3*z**2 - 4*z. Give s*q(r) + 7*f(r). r**2 - 2*r + 2 Let j(o) = -o**2 + o. Let r(i) = -i**3 + 3*i**2 - 2*i. Suppose 2*a = 3*v - 0*v - 19, 0 = -v + 3*a + 11. Calculate v*j(g) + 2*r(g). -2*g**3 + g**2 + g Let q(w) = w**2 + w - 3. Let g(r) = -r**2 - r - 1. Let f(j) = j**2 + 5*j - 2. Let c be f(-6). Let t = 11 - c. Let o = t - 6. Calculate o*g(k) - q(k). -2*k**2 - 2*k + 2 Let y(a) = 1. Let p(u) = -439*u - 5 - 439*u + 881*u. Let x be (-2 - 0) + (-6)/2. Give x*y(f) - p(f). -3*f Let l(r) = -r**2 - 4*r - 4. Let g be (-4 - 5) + 2/1. Let s(b) = b**2 - 7*b - 3*b**2 + 0*b**2 - 7. What is g*l(y) + 4*s(y)? -y**2 Let p(a) = a + 1. Let r(d) = -5*d - 5. Suppose 2 = 3*l - 2*f + 8, 0 = 4*f. Let x(c) = -c - 1. Let n(m) = l*r(m) + 9*x(m). What is 3*n(q) - 4*p(q)? -q - 1 Let l(k) = 3*k + 7. Suppose y = -7 - 6. Let s = 9 + y. Let a(x) = -2*x - 6. Give s*l(o) - 5*a(o). -2*o + 2 Let o(m) be the third derivative of -7*m**4/24 + 4*m**3/3 - 26*m**2. Let f be (-2)/6 - (-17)/(-3). Let n(c) = 20*c - 23. Give f*n(p) - 17*o(p). -p + 2 Let y(g) be the third derivative of g**3/6 - 6*g**2. Let s(r) = -r**2 + r - 1. What is -s(j) + y(j)? j**2 - j + 2 Let w(c) = -7*c**3 + c**2 - 20*c. Let g(q) = 6*q**3 - q**2 + 19*q. Give 5*g(d) + 4*w(d). 2*d**3 - d**2 + 15*d Let i(d) = -9*d**2 - 7. Let x(j) = -8*j**2 - 6. Calculate 3*i(t) - 4*x(t). 5*t**2 + 3 Let j(h) = 3*h**2 + 6*h. Let i(l) = 20*l**2 + 11*l + 20*l**2 - 34*l**2. Determine 6*i(w) - 11*j(w). 3*w**2 Let r(p) = -7 + 8 - 2 - 2*p. Let f be -5 - (-2 + 2 + -4). Let g(t) = -t. What is f*r(s) + 4*g(s)? -2*s + 1 Let q(u) be the second derivative of 7/12*u**4 + 5/6*u**3 - 5/2*u**2 + 2*u + 0. Let p(h) = -6*h**2 - 4*h + 4. Let c = -10 + 15. Calculate c*p(t) + 4*q(t). -2*t**2 Let o(l) = 3*l**3 - 7*l**2 - 9. Let w(s) be the first derivative of s**4/4 - s**3 - 4*s - 38. Determine 3*o(k) - 7*w(k). 2*k**3 + 1 Let w(h) = -h - 3. Let k(b) = -3*b - 7. Let d = -6 + 11. What is d*w(r) - 2*k(r)? r - 1 Let u be 2/(0 + -2)*-7. Let j(p) = -5 + u - 3. Suppose -9 = -2*q - 2*o - 3, 7 = 5*q + o. Let v(a) = 2*a - 3. What is q*v(x) - 3*j(x)? 2*x Let o(g) = -15*g + 17. Let l(b) = 8*b - 9. Let j(n) = 7*l(n) + 4*o(n). Let z(w) be the second derivative of -w**3/6 + w**2/2 - 2*w. Calculate j(c) - 6*z(c). 2*c - 1 Let b(m) = -m**3 - 2*m + 4. Let t be (-2)/(-10) + ((-19)/(-5) - -3). Let u(x) = -4*x**3 - 7*x + 13. Determine t*b(a) - 2*u(a). a**3 + 2 Let w(b) = 3*b - 8 + 3 - 2*b + 9 - 3. Let f(l) = 4. Let j(d) = d**2 + 5*d + 6. Let g be j(-4). What is g*w(y) - f(y)? 2*y - 2 Let u(f) = 5*f**3 - 5*f**2 + 2*f + 8. Suppose -3*z - 11 = 13. Let g(l) = 2*l**3 - 2*l**2 + l + 3. Give z*g(d) + 3*u(d). -d**3 + d**2 - 2*d Let m(v) = -v. Let c(y) = -7*y**2 - 4*y - 2. Give -c(n) + 3*m(n). 7*n**2 + n + 2 Let f(o) = -o**3 - 6*o**2 - 3*o + 1. Let t(b) = 0*b**2 - 31*b + 5*b**2 - 1 + 33*b + b**3. Calculate -2*f(g) - 3*t(g). -g**3 - 3*g**2 + 1 Let d(a) = -8*a - 6. Let v(m) = -19*m - 11. Let f(j) = -5*j - 3. Let n(r) = 9*f(r) - 2*v(r). What is 5*d(y) - 6*n(y)? 2*y Let y(b) be the third derivative of b**5/5 - 7*b**4/24 - 6*b**2. Let a(g) = -6*g**2 + 3*g. What is 7*a(d) + 3*y(d)? -6*d**2 Let h(c) = c**3 + c**2. Let i(n) = -29*n**3 - 2*n**2 + n. What is 2*h(s) + i(s)? -27*s**3 + s Let m(s) = -2*s**2 + 40*s - 7. Let d(a) = -a**2 + 20*a - 4. Give -7*d(z) + 4*m(z). -z**2 + 20*z Let a be (-2)/(-3)*6*(-1)/(-2). Let c(j) be the third derivative
{ "pile_set_name": "DM Mathematics" }
and (1 - s)*375/36. 48 Let g = -6 + 7. What is the smallest common multiple of 12 and g? 12 Suppose n - 10 = 6*n. Find the common denominator of (-4 - -4) + 45/n and -43/5. 10 Let u = 8345/4 + -2067. Calculate the common denominator of u and -127/6. 12 Let y = 74 + -52. Suppose -50 - y = -4*v. What is the lowest common multiple of 4 and v? 36 Calculate the common denominator of -55/9 and (7 - 4) + -1 + 34/3. 9 Let m(w) = -w**3 - 6*w**2 - 6*w - 2. Let q be m(-5). Calculate the smallest common multiple of 2 - (-1 + 3/q) and (-4)/12 - 32/(-6). 10 Let r = 434 - 4769/11. Calculate the common denominator of r and (1 - 24)*(-1)/9. 99 Let u = 22580 - 451693/20. Calculate the common denominator of 73/16 and u. 80 Suppose 4*r = -14 + 54. Calculate the common denominator of 38 and (-8)/(-12)*(-186)/r. 5 Let x = -10713/2072 - 219/37. Let g be 2 + (-339)/84 - -1. Let i = x + g. Calculate the common denominator of i and 17/4. 8 Let o = 10 + -5. Suppose 3*f + 27 = 4*w + 98, -3*w + 128 = 4*f. Suppose 2*z = -7 + f. What is the smallest common multiple of z and o? 55 Let m(k) = 2*k**2 + 3*k + 2. Suppose -4*j + 96 = 2*j. What is the lowest common multiple of j and m(-4)? 176 Let p = 37377 - 17230768/461. Let r = -781957/35036 - p. Let a = r + -9/76. Find the common denominator of a and -125/18. 18 Let b = -40/13 + 256/117. Find the common denominator of b and 43/9. 9 Let z = -47/10 - -136/5. Calculate the common denominator of z and (-254)/(-36) - (-2)/(-3). 18 Let z(y) = y**2 + 5*y + 4. What is the lowest common multiple of (-10 - -1)*(-14)/21 and z(-5)? 12 Let z = -6 - -1. Let p = 11 + z. What is the least common multiple of 3 and p? 6 Suppose 7*m = 2*m + 1380. Find the common denominator of 40/9 and -2 - 1/((-64)/m). 144 Let r be 38/(-179)*(3 - 4). Let j = 16321/3222 + r. What is the common denominator of -71/20 and j? 180 Let o be 3 - (-2 + (2 - 1)). Suppose r = -5*i + 23, o*r = 2*i + 1 + 3. What is the lowest common multiple of 20 and (-10)/r*(-2 + -1)? 20 Let z be 5704/(-8592) - 4/(-6). Let x = 3035/2864 + z. What is the common denominator of x and -145/6? 48 Let o(k) = -k**3 - 7*k**2 - 5*k + 1. Let s be o(-6). Let z be 1/s + 1634/(-5). Find the common denominator of (z/18)/(10/3) and 109/12. 60 What is the least common multiple of 7 and 3 - 16/(-28) - 6/(-14)? 28 Let t = 9 - 4. Suppose -4*r = -g - 6, -5*g + t*r + 18 = r. What is the smallest common multiple of g and 5? 30 Find the common denominator of -51/10 and (1674/60)/9 + 6/2. 10 Let a = -15 - -23. Let f = a + -8. Suppose b - 9 - 2 = f. What is the least common multiple of 8 and b? 88 Let b = 4714 - 94261/20. Let u = -63369/140 + 3187/7. What is the common denominator of b and u? 20 Let r(f) = -f**3 - 21*f**2 + 20*f - 11. Calculate the least common multiple of r(-22) and 18. 198 Calculate the lowest common multiple of 151/7 + 9/21 and 22. 22 Let p(h) = -h**3 - 7*h**2 + 5*h + 7. Let f be p(-8). Let i(a) = -a**2 + 5*a + 2. Let w be i(5). Let j = w + f. Find the common denominator of -45/7 and j. 7 Let p(b) = 318*b**2 - 4. Let l be p(4). Let x = l + -30391/6. Find the common denominator of (4/6)/((-8)/(-534)) and x. 6 Calculate the common denominator of (-168)/(-44) + -1*(1 - -1) and -50/3. 33 Let y = 9 - 18. Calculate the least common multiple of 6 and 8*(2 - y/(-6)). 12 Let t = 38/9050475 - -41954955103/7186077150. Let k = -2/397 + t. Let p = -1/30 + 1427/60. Calculate the common denominator of k and p. 12 Let p = -58 - -23. Find the common denominator of ((-114)/p)/(16/14) and -131/6. 60 Suppose -2*y + 10 = 2*u, -5*u = -4*y - 1 + 3. What is the least common multiple of 8 and u? 8 Let t be (-4)/((1 - -1) + 0). Find the common denominator of -53/6 and (t/(-4))/(10/(-77)). 60 Let l be (6 - (6 + -3)) + 1052. What is the common denominator of 39/2 and l/(-100) - 1/(-4)? 10 Calculate the least common multiple of (-9)/12 + 59/4 and 14. 14 Suppose 3*f + 4*u + 10 = 0, -8 = f + f + 4*u. Let h be 34/8 - f/(-8). Suppose h*o - 100 = -o. What is the lowest common multiple of 4 and o? 20 Let f be (6/9)/((-2)/3). Let h = f - -6. Suppose 10 = l - a, h*a + 21 = 1. What is the smallest common multiple of 8 and l? 24 Let j be 2/10 - 15756/5. Let q = 25135/8 + j. Find the common denominator of q and (2/(-6))/((-22)/(-75)). 88 Let z = -246/13 - -1837/117. Find the common denominator of -41/11 and z. 99 Let o(i) = 4*i - 11. Calculate the smallest common multiple of o(4) and 37. 185 Suppose 2*p + 2*r = 18, -4*p + 3*r = -9*p + 47. What is the least common multiple of p and 1? 10 Let f = -249 + 462. Let l be ((-2)/18)/((-7)/f). Let r = l - -23/7. Find the common denominator of r and 19/10. 30 Let a = -1139 - -523. Let s = -9853/16 - a. Calculate the common denominator of (-29)/8 + (-12)/(-8) and s. 16 Suppose 2*o = -2*o - 12. Let c = o + 11. Suppose -22 - 68 = -5*z. What is the smallest common multiple of c and z? 72 Find the common denominator of (-1)/(-5)*(-1250)/24 and -39/10. 60 Let n = -46 + 70. Calculate the lowest common multiple of 44 and n. 264 Let f = -1603 + 9703/6. Find the common denominator of -34/3 and f. 6 Suppose 2*z = 4*z + 44. What is the common denominator of z and 41/8? 8 Let l = -15 + 23. What is the smallest common multiple of 8 and l? 8 Calculate the common denominator of -109/6 and (-3)/(-5) - 99/(-10). 6 Let u(z) = 4*z**2 - 3*z - 8. Find the common denominator of -23/5 and u(-3). 5 Let x = 0
{ "pile_set_name": "DM Mathematics" }
= 254*o + 1022. Give j(-5). -248 Let c(d) = -d**2 + 22*d - 69. Give c(14). 43 Let c(v) = v**2 + 33*v - 250. Determine c(15). 470 Let x(v) = -4*v**2 + 57*v - 53. Determine x(12). 55 Let h(p) = 13*p**2 + 374*p + 21. Give h(-29). 108 Let y(c) = 8*c**2 + 641*c - 105. What is y(-80)? -185 Let h(i) = 46*i + 4285. Determine h(-93). 7 Let f(i) = -i**3 + 51*i**2 - 156*i + 711. Determine f(48). 135 Let p(a) = 7*a**2 + 106*a + 220. Determine p(-16). 316 Let g(f) = -104*f + 79. Determine g(1). -25 Let l(v) = v**2 - 72*v - 1202. Give l(-14). 2 Let i(x) = -183*x - 1880. Calculate i(-10). -50 Let d(p) = -6*p**3 - 92*p**2 - 44*p - 212. Determine d(-15). -2 Let y(x) = -x**2 + 15*x + 4197. Give y(72). 93 Let a(r) = -139*r - 76. What is a(1)? -215 Let r(j) = 60*j + 2810. Give r(-47). -10 Let c(d) = d**2 + 6*d - 5514. Determine c(-77). -47 Let v(b) = -2*b**3 + 25*b**2 + 38*b - 123. Give v(14). -179 Let c(l) = -l**2 - l + 26. What is c(-8)? -30 Let v(m) = 4*m**2 + 137*m - 15145. What is v(-81)? 2 Let n(h) = -36*h - 237. Give n(0). -237 Let v(u) = -3*u**2 - 271*u - 536. Give v(-2). -6 Let m(r) = 17*r + 534. Give m(-29). 41 Let k(t) = -130*t - 6110. What is k(-47)? 0 Let p(z) = 518*z - 12953. Calculate p(25). -3 Let d(a) = -12*a - 26. Calculate d(-9). 82 Let u(w) = 1003*w - 19064. Calculate u(19). -7 Let z(w) = -22*w**2 + 2*w + 9. What is z(0)? 9 Let c(k) = 3*k**3 + 28*k**2 + 7*k + 9. Calculate c(-10). -261 Let c(y) = -y**3 - 14*y**2 - 16*y + 10. What is c(-14)? 234 Let s(q) = 12*q - 42. Calculate s(-9). -150 Let z(b) = b**3 + 4*b**2 - 18*b + 8. What is z(-7)? -13 Let h(k) = k**3 + 56*k**2 + 655*k - 319. Determine h(-39). -7 Let x(z) = -7*z**3 - 4*z**2 - 92*z - 88. Determine x(-1). 7 Let w(d) = -2*d**2 + 133*d - 1562. Calculate w(51). 19 Let w(v) = -9*v**2 + 110*v + 37. Determine w(11). 158 Let y(u) = -u**3 + 34*u**2 - 116*u - 77. Calculate y(30). 43 Let g(w) = -w**3 - 30*w**2 - 37*w + 462. Give g(-28). -70 Let x(w) = -w**2 - 6*w + 73. Give x(-11). 18 Let o(h) = -2*h**3 + 65*h**2 + 34*h - 46. Determine o(33). -13 Let r(u) = -19*u**2 - 281*u + 62. What is r(-15)? 2 Let p(h) = 592*h - 1184. Calculate p(2). 0 Let l(m) = -28*m - 1645. Calculate l(-54). -133 Let r(x) = x**3 - 22*x**2 + 110*x + 114. Determine r(11). -7 Let s(q) = -q**3 + 17*q**2 + 28*q - 158. What is s(18)? 22 Let y(z) = 4*z + 110. Calculate y(-9). 74 Let b(p) = 5*p**3 + 5*p**2 - 46*p - 198. Give b(-3). -150 Let n(p) = -290*p - 899. What is n(-3)? -29 Let n(h) = h**3 + 29*h**2 + 66*h + 20. Calculate n(-27). -304 Let n(k) = 1123*k - 19099. Determine n(17). -8 Let v(m) = m**3 + 11*m**2 - 83*m - 85. Calculate v(-16). -37 Let w(n) = -59*n + 757. Give w(11). 108 Let q(u) = -u**3 + 36*u**2 - 131*u + 106. Calculate q(32). 10 Let s(y) = -y**3 - 31*y**2 - 208*y + 16. Calculate s(-10). -4 Let s(z) = 10*z**2 - 554*z + 763. What is s(54)? 7 Let u(y) = -143*y**2 - 5*y + 4. What is u(1)? -144 Let l(u) = -17*u - 31. Give l(8). -167 Let h(j) = 2*j**3 - 19*j**2 + 6*j - 5. What is h(9)? -32 Let y(m) = m**3 + 13*m**2 + 23*m - 84. Give y(-10). -14 Let k(q) = -436*q - 1305. Calculate k(-3). 3 Let w(m) = -m**3 - 56*m**2 + 107*m + 2880. Give w(-57). 30 Let a(n) = 11*n**2 - 14*n - 20. Give a(6). 292 Let k(j) = 2*j**2 - 25*j + 119. Calculate k(9). 56 Let k(v) = -v**3 + 57*v**2 - 767*v - 98. Give k(35). 7 Let y(n) = -65*n**2 - 1695*n - 135. Determine y(-26). -5 Let i(c) = -c**2 - 46*c - 449. Calculate i(-20). 71 Let z(l) = -65*l + 110. Give z(-1). 175 Let l(i) = i**3 + 15*i**2 + 4*i - 180. What is l(-14)? -40 Let h(s) = -147*s + 2205. Determine h(15). 0 Let q(v) = -2*v**3 - 9*v**2 - 18*v + 11. What is q(-5)? 126 Let j(k) = -8*k**3 - 96*k**2 - 5*k - 47. Calculate j(-12). 13 Let g(s) = 37*s - 196. What is g(-7)? -455 Let k(x) = -5*x**3 + 104*x**2 + 36*x - 420. What is k(21)? -105 Let i(q) = q**3 + 18*q**2 + 25*q - 178. Determine i(-16). -66 Let k(u) = -41*u - 4319. Give k(-105). -14 Let w(c) = 31*c - 1348. Determine w(
{ "pile_set_name": "DM Mathematics" }
et b(s) = -41*s + 267. What is the remainder when b(2) is divided by 39? 29 Let p(r) = -r**2 - 3*r + 283. Calculate the remainder when 77 is divided by p(15). 12 Let m = 12 + -4. Let v = 4 + m. Suppose 0 = -2*y + y - 2*o - 3, 5*y = -2*o + 25. Calculate the remainder when v is divided by y. 5 Let u = 51 + -35. What is the remainder when 507/8 - (-42)/(-112) is divided by u? 15 Let t(p) = p**2 - 62*p - 210. What is the remainder when 212 is divided by t(-4)? 50 Let a = 10 - 22. Let q be (-6)/a + 10/4. Suppose 2*g = o + q, 0 = g + 2*g - 15. What is the remainder when 26 is divided by o? 5 Calculate the remainder when (4 + -6)/(6/(-120)) is divided by 21. 19 Suppose -166 = -5*c - 3*v, 4*c - 4 = -4*v + 132. Let m = 46 - c. What is the remainder when 53 is divided by m? 11 Let n(s) be the first derivative of -s**4/4 + 2*s**3 - 5*s**2/2 - s + 19. What is the remainder when n(4) is divided by 5? 1 Let c = -157 - -171. Calculate the remainder when 191 is divided by c. 9 Suppose 5*q = -r - 377, 11*q + 5*r + 365 = 6*q. What is the remainder when (q/5 - 0)/((-6)/15) is divided by 21? 17 Suppose 0 = -2*g + 10, -g + 35 = 5*c. Let q(v) = -11*v**2 - v + 16. Calculate the remainder when q(0) is divided by c. 4 Let u(a) = 2*a - 1. Let v(j) = j. Let f(l) = -6*u(l) + 11*v(l). Calculate the remainder when 102 is divided by f(-9). 12 Suppose 2*l - 7*l = -300. Suppose 5*x - x = l. What is the remainder when 6/x - (-566)/10 is divided by 15? 12 Suppose 3 = -u - 4*b - 6, 3*u - 5 = 4*b. Calculate the remainder when 29 is divided by u/(-3) + (-1363)/(-87). 13 Let c(m) = m**3 - m**2 - 11*m + 6. Calculate the remainder when 43 is divided by c(4). 3 Let u(x) = -3*x**2 - 11*x + 1. Let w be u(-5). Let s = 34 + w. What is the remainder when s is divided by 8? 7 Suppose 17*s - 708 - 74 = 0. What is the remainder when 200 is divided by s? 16 Suppose 4*n - 3 = 13. Suppose -n*i = f - 21, 2*i + f = -f + 6. What is the remainder when 41 is divided by i? 5 Suppose 9*o + 4*y + 521 = 14*o, -o = 5*y - 81. Calculate the remainder when 704 is divided by o. 98 What is the remainder when 55/(-385) + 589/7 is divided by 22? 18 Suppose 28 = 2*h + 2*v, 3*h + 5*v - 34 = -0*v. Suppose 4*x - 24 = 5*p + 126, -5*x = 3*p - 169. Calculate the remainder when x is divided by h. 17 Calculate the remainder when 40 is divided by 219/18 + 35/42. 1 Let b = -52 - -92. Suppose 4*m + b = 2*h, 0 = -h - h + m + 40. What is the remainder when 38 is divided by h? 18 Let u(s) = s**2 + 13*s + 3. Suppose -4*v + 4 + 16 = 0. Suppose 2*n + 3 + 58 = -v*d, 0 = -3*d - 4*n - 31. What is the remainder when 10 is divided by u(d)? 1 Suppose 7*v - 120 = 2*v. Let g = v - 22. Suppose 6*a - 456 = g*a. Calculate the remainder when a is divided by 23. 22 Let p(x) = x**2 - 12*x + 10. Let c be p(8). Let v = c + 24. Suppose 4*y = y - d + 21, -2*y - v*d = -10. What is the remainder when 22 is divided by y? 6 Suppose m = 2*l - 88, -4*l - 176 = -8*l - 3*m. Calculate the remainder when 139 is divided by l. 7 Let n(k) be the third derivative of k**5/12 + 19*k**4/12 + 2*k**3/3 + 16*k**2. What is the remainder when n(-8) is divided by 7? 6 Suppose -n = -145 + 40. Calculate the remainder when 10 is divided by (-8)/10*n/(-14). 4 Suppose 7*h - 124 = 569. Calculate the remainder when h is divided by 21. 15 Let c(p) = p**2 + 6*p**2 + 4 - 5*p**2 - p**2 + 14*p. Calculate the remainder when c(-15) is divided by 10. 9 Let h(a) = a**3 + 3*a**2 - 2*a + 3. Let k be h(-3). Suppose 5*f = k + 61. Let c(r) = 8*r - 7. What is the remainder when c(4) is divided by f? 11 Let p(m) = -m**2 - 16*m + 97. Let t = -47 + 114. What is the remainder when t is divided by p(-20)? 16 Suppose -4*r - 50 = -4*t + 66, -28 = -2*t - 4*r. Let z = -13 + t. Calculate the remainder when 76 is divided by z. 10 Suppose 2*t = -x - 11, -3*t + 2*x - 23 = -3*x. Calculate the remainder when 56 is divided by (t/(-4))/((-4)/(-40)). 11 Let r be 6/(-18) + (-22)/(-3). Suppose -3*a + 0*a = x + r, 5*a + 9 = x. Let u(d) = -9*d + 1. What is the remainder when 29 is divided by u(x)? 9 Let a be ((-56)/(-20) + -4)*(-5)/3. Suppose 0 = p + y, -2*p + y + a + 13 = 0. What is the remainder when 10 is divided by p? 0 Let u = 10 - 3. Let b = 415 - 376. Calculate the remainder when b is divided by u. 4 Let v = 47 - 34. Suppose 5*g - 6 + 21 = 0. What is the remainder when (-4)/(-5)*g*-15 is divided by v? 10 Let q = -16 - -23. Let f(o) = 6 - q - 4*o + 2. What is the remainder when f(-2) is divided by 3? 0 Let o = -329 + 484. Suppose 6*i - 379 = o. Calculate the remainder when i is divided by 24/1 + (0 - 1). 20 Let g = 220 - 184. Calculate the remainder when 212 is divided by g. 32 Calculate the remainder when 447 is divided by ((-170)/323)/5 + 1218/19. 63 Let g(i) = 15*i - 20. Calculate the remainder when g(7) is divided by 36. 13 Let f(t) = 2*t - 4. Let v be f(8). Suppose 8 = -g + v. Calculate the remainder when 12 is divided by g. 0 Let w(x) = -2*x**3 + 26*x**2 + 3*x + 17. What is the remainder when w(13) is divided by 19? 18 Let c(r) = r**3 + 5*r**2 - 9*r - 9. Let x be c(-6). Let w = x - 6. Let j(s) = -s + 17. Calculate the remainder when j(11) is divided by w. 0 Let w(o) = -50*o + 397. What is the remainder when w(7) is divided by 14? 5 Suppose -5*h = -3*h - 4, -1
{ "pile_set_name": "DM Mathematics" }
common factor of 413919 and 6215? 1243 What is the greatest common divisor of 756 and 6552? 252 What is the greatest common divisor of 88 and 292728? 8 Calculate the greatest common divisor of 478016 and 308. 308 Calculate the highest common factor of 1232 and 528. 176 Calculate the highest common factor of 48 and 190488. 24 Calculate the highest common divisor of 49216 and 6336. 64 Calculate the highest common factor of 21689 and 1127. 23 Calculate the greatest common factor of 11 and 40865. 11 Calculate the highest common divisor of 380 and 619609. 19 Calculate the greatest common factor of 211738 and 253. 23 Calculate the greatest common factor of 2256952 and 424. 424 Calculate the greatest common factor of 1281 and 3119601. 183 What is the greatest common factor of 5026 and 24412? 718 What is the highest common divisor of 78 and 307716? 6 Calculate the highest common factor of 721182 and 198. 66 What is the greatest common divisor of 2148 and 1368? 12 What is the highest common factor of 796 and 364170? 398 What is the greatest common factor of 122 and 57645? 61 Calculate the greatest common factor of 25 and 103175. 25 Calculate the highest common factor of 238 and 1045394. 14 Calculate the highest common factor of 30800 and 13300. 700 Calculate the highest common factor of 5238 and 3078. 54 What is the greatest common divisor of 476 and 298536? 28 What is the greatest common divisor of 5486 and 6526? 26 What is the highest common factor of 4255 and 124200? 115 Calculate the highest common divisor of 302 and 697922. 302 What is the greatest common divisor of 678 and 594154? 226 What is the highest common divisor of 21 and 318787? 7 What is the greatest common divisor of 3503 and 1271? 31 What is the highest common divisor of 5589 and 183465? 243 Calculate the greatest common divisor of 33 and 10731. 3 What is the greatest common factor of 2400 and 708? 12 Calculate the highest common divisor of 13377 and 1248. 39 Calculate the highest common factor of 83710 and 1870. 110 What is the highest common divisor of 608 and 1907752? 152 Calculate the highest common factor of 44285 and 255. 85 What is the greatest common divisor of 12 and 202496? 4 Calculate the greatest common divisor of 92 and 2708. 4 What is the highest common factor of 1716 and 1122? 66 What is the highest common factor of 1455 and 3658840? 485 Calculate the greatest common factor of 1064 and 8848. 56 Calculate the greatest common divisor of 62238 and 1587. 69 Calculate the highest common factor of 17152 and 800. 32 Calculate the highest common factor of 860 and 41495. 215 What is the greatest common divisor of 91067 and 19? 19 Calculate the highest common factor of 135 and 291. 3 Calculate the highest common divisor of 100 and 2805700. 100 What is the highest common divisor of 24108 and 132? 12 What is the greatest common divisor of 13 and 367237? 13 Calculate the greatest common factor of 29887 and 21021. 143 What is the highest common divisor of 1035534 and 18? 6 Calculate the highest common divisor of 8991 and 101331. 243 Calculate the highest common factor of 628 and 4049972. 628 Calculate the greatest common divisor of 10 and 179252. 2 Calculate the highest common divisor of 368 and 129904. 368 What is the greatest common factor of 390 and 89778? 78 What is the highest common divisor of 218325 and 492? 123 What is the greatest common factor of 1170 and 105066? 234 What is the greatest common factor of 1917 and 75? 3 Calculate the highest common divisor of 1 and 9195. 1 What is the highest common factor of 29491 and 154? 77 Calculate the greatest common divisor of 9747272 and 193. 193 Calculate the greatest common factor of 604 and 184. 4 Calculate the highest common divisor of 11 and 841423. 11 Calculate the greatest common divisor of 73 and 13387. 1 Calculate the greatest common divisor of 7432222 and 49. 49 What is the highest common factor of 24 and 301716? 12 What is the greatest common divisor of 1368 and 82272? 24 What is the highest common factor of 7688388 and 12? 12 Calculate the highest common factor of 253 and 6923. 23 Calculate the greatest common divisor of 5746364 and 767. 767 What is the greatest common factor of 31122 and 6474? 78 Calculate the highest common divisor of 172 and 42914. 86 Calculate the highest common divisor of 8395 and 5110. 365 What is the greatest common factor of 532 and 418? 38 Calculate the greatest common factor of 189 and 133110. 27 Calculate the greatest common divisor of 104 and 4459. 13 Calculate the highest common factor of 11 and 776. 1 Calculate the highest common divisor of 3312 and 332496. 144 Calculate the greatest common factor of 1075624 and 22. 22 What is the highest common factor of 37 and 2300216? 37 What is the highest common factor of 119955 and 990? 165 Calculate the greatest common divisor of 68729 and 4. 1 Calculate the highest common divisor of 30573 and 369. 9 Calculate the greatest common factor of 12792 and 90636. 156 Calculate the highest common divisor of 324 and 1468. 4 What is the greatest common factor of 36 and 64122? 6 Calculate the greatest common divisor of 4066 and 1254. 38 Calculate the highest common factor of 327 and 6431. 109 Calculate the highest common factor of 1047 and 10979889. 1047 What is the highest common factor of 1960 and 21? 7 Calculate the highest common divisor of 128 and 1215184. 16 What is the highest common factor of 4719 and 312? 39 What is the highest common divisor of 823031 and 22? 11 Calculate the greatest common divisor of 14522 and 9727. 137 Calculate the greatest common divisor of 19608 and 48792. 456 Calculate the highest common factor of 4734940 and 175. 35 What is the highest common factor of 9691 and 440500? 881 What is the greatest common factor of 4 and 38452? 4 Calculate the greatest common divisor of 591 and 6711. 3 What is the highest common factor of 72184 and 42? 14 Calculate the highest common factor of 25 and 23675. 25 Calculate the highest common factor of 279272 and 56. 56 What is the highest common divisor of 8769 and 48585? 237 Calculate the greatest common divisor of 19608 and 16. 8 What is the greatest common divisor of 342972 and 660? 12 Calculate the greatest common divisor of 160 and 729940. 20 What is the highest common factor of 2682 and 39438? 18 Calculate the greatest common divisor of 740 and 8732. 148 What is the highest common divisor of 238 and 417809? 119 Calculate the highest common divisor of 8 and 15232. 8 What is the highest common divisor of 120048 and 2684? 244 What is the highest common factor of 1575314 and 13? 13 Calculate the greatest common factor of 5287 and 102. 17 What is the highest common factor of 1017 and 1179? 9 What is the greatest common factor of 4 and 5296? 4 What is the highest common factor of 214149 and 646? 323 What is the highest common divisor of 1070 and 18? 2 Calculate the greatest common divisor of 253414 and 14. 14 What is the highest common divisor of 423 and 369? 9 Calculate the highest common divisor of 9785 and 1545. 515 Calculate the greatest common factor of 187153 and 136. 17 Calculate the highest common factor of 26 and 58214. 26 What is the greatest common divisor of 173250 and 660? 330 What is the highest common factor of 21 and 1314? 3 What is the greatest common divisor of 1653811 and 221? 17 What is the greatest common divisor of 87352 and 12200? 488 Calculate the greatest common divisor of 420 and 15309. 21 Calculate the greatest common divisor of 35525 and 1189. 29 What is the highest common divisor of 125 and 407125? 125 Calculate the highest common divisor of 26 and 18852. 2 Calculate the greatest common factor of 16512 and 14964. 516 Calculate the highest common factor of 33459 and 57. 57 What is the greatest common factor of 240 and 283110? 30 Calculate the highest common divisor of 4304 and 9712
{ "pile_set_name": "DM Mathematics" }
- 2 - f**2 + f. Solve o(t) = 0. 1 Let s(z) be the third derivative of z**5/100 - 97*z**4/20 + 9409*z**3/10 + 4*z**2 - 34. Factor s(q). 3*(q - 97)**2/5 Let a = 1/383 + 356/10341. Let w(n) be the third derivative of 0 + 0*n + a*n**4 - 4/27*n**3 - 1/270*n**5 + 10*n**2. Factor w(r). -2*(r - 2)**2/9 What is k in 23*k**3 - 6*k**4 - 5*k**3 + 12*k**3 - 6*k**3 - 36*k**2 + 9*k**4 - 3*k**5 = 0? -3, 0, 2 Let s be (-2)/(-5)*(3 + 17). Suppose c + 3*d + s = 0, -5*d = -c + 13 + 11. Solve 4/3*z + 2/3*z**2 - 2*z**c + 0 - 8/3*z**3 = 0 for z. -1, 0, 2/3 Let x be (6/(-375))/(6/15*-4). Let a(c) be the third derivative of 0*c + 0 + 1/100*c**6 + 0*c**3 + x*c**5 + c**2 - 1/40*c**4. Find r, given that a(r) = 0. -1, 0, 1/2 Let c(b) be the third derivative of 0 - 17/45*b**6 - 1/36*b**8 + 4/9*b**3 - 52/315*b**7 + 1/18*b**4 - 16/45*b**5 + 11*b**2 + 0*b. Suppose c(x) = 0. Calculate x. -1, 2/7 Let v be (-2)/(-8) - (-111)/(-12). Let p(u) = u + 12. Let n be p(v). Find l, given that 3*l**2 - 12*l**3 + 6*l**3 + 6*l**4 - n*l**4 = 0. 0, 1 Let g = 10 - 7. Let i(o) = -o**3 + o**2 + 2*o. Let b(m) = -2*m**3 + 2*m**2 + 5*m + 1. Let h(s) = g*b(s) - 5*i(s). Factor h(t). -(t - 3)*(t + 1)**2 Let q(d) be the first derivative of 1/10*d**5 - d + 1/6*d**4 - 1/3*d**3 + 2 - d**2. Let w(j) be the first derivative of q(j). Factor w(a). 2*(a - 1)*(a + 1)**2 Let n(i) be the first derivative of -5*i**6/6 + i**5 + 75*i**4/2 + 370*i**3/3 + 335*i**2/2 + 105*i - 436. Determine u, given that n(u) = 0. -3, -1, 7 Let x(u) be the first derivative of 2*u**7/525 - u**6/60 + u**5/75 + 15*u**2/2 - 10. Let k(o) be the second derivative of x(o). Let k(t) = 0. Calculate t. 0, 1/2, 2 Let b(j) = -j**3 - 36*j**2 - 11*j - 8. Let y(g) = g**3 + 24*g**2 + 8*g + 5. Let n(s) = -5*b(s) - 8*y(s). Determine d so that n(d) = 0. -3, -1, 0 Let n be 3 - 1*((-36)/486 - 166/(-54)). Let s be (-6)/(-9)*3/15. Suppose n*w + 8/15 - s*w**2 = 0. Calculate w. -2, 2 Let r(k) be the third derivative of k**7/70 + 23*k**6/240 - k**5/5 - 23*k**4/48 + 3*k**3/2 - 2*k**2 - 4*k. Determine j, given that r(j) = 0. -9/2, -1, 2/3, 1 Let w be (150/60)/(3*(-15)/(-9)). Determine l, given that -w + 1/2*l - 1/8*l**2 = 0. 2 Solve 1/7*a**5 + 53/7*a + 13/7 + 82/7*a**2 + 58/7*a**3 + 17/7*a**4 = 0. -13, -1 Let v(h) be the third derivative of 7/300*h**5 + 1/1680*h**8 + 0*h**4 - 1/350*h**7 + 0 - 1/600*h**6 - 2/15*h**3 + 0*h + 28*h**2. Find u, given that v(u) = 0. -1, 1, 2 Factor 0 - 4/5*c**2 + 1/10*c**4 - 1/5*c**3 + 0*c. c**2*(c - 4)*(c + 2)/10 Let x(t) = 94*t**2 + 8*t + 1. Let d be x(2). Let p = d - 5893/15. Find k such that p + 2/15*k**2 + 4/15*k = 0. -1 Suppose -5*w = 2*p - 4*p - 12, 0 = -4*w + p + 9. Factor -2*a - 4*a**2 + 0*a**2 + a**w + 5*a**2. 2*a*(a - 1) Let u(n) = -22*n**3 + 12*n**2 - 20*n. Let a(t) = 2*t**3 + t. Let h(p) = 10*a(p) + u(p). Let h(b) = 0. What is b? 0, 1, 5 Let s = -122/27 - -2338/135. Factor 4/5*b**4 + 24/5*b**3 + 4/5*b**2 - 96/5*b + s. 4*(b - 1)**2*(b + 4)**2/5 Determine o, given that -16/3*o**3 + 32/3 - 4/3*o**4 + 4*o**2 + 56/3*o = 0. -4, -1, 2 Let v(n) be the third derivative of -1/210*n**6 + 1/42*n**4 + 1/21*n**3 - 25*n**2 - 1/735*n**7 + 0*n + 0*n**5 + 0. Factor v(h). -2*(h - 1)*(h + 1)**3/7 Let m(b) be the second derivative of -b**6/180 - b**5/30 - b**4/12 - b**3/2 - 3*b. Let j(f) be the second derivative of m(f). Suppose j(a) = 0. What is a? -1 Let y(p) be the second derivative of 10*p**7/21 + 892*p**6/5 + 134134*p**5/5 + 5961392*p**4/3 + 65566334*p**3 - 80604484*p**2 - 4*p - 93. Factor y(l). 4*(l + 67)**4*(5*l - 2) Let p(i) be the first derivative of -5/3*i**3 - 37 + 20*i**2 - 35*i. Factor p(w). -5*(w - 7)*(w - 1) Let s(y) be the second derivative of 1/45*y**3 + 0 - 1/90*y**4 + 29*y + 2/15*y**2. Solve s(p) = 0. -1, 2 Suppose 10*j - c - 21 = 6*j, -2*j - 3*c + 7 = 0. Let p be (-3)/j*120/(-108). Factor 2/3*t**5 - 4/3*t**4 + 0*t**3 - p*t + 4/3*t**2 + 0. 2*t*(t - 1)**3*(t + 1)/3 Let f
{ "pile_set_name": "DM Mathematics" }
letters picked without replacement from {a: 3, s: 4}. What is prob of picking 2 s and 1 a? 18/35 Three letters picked without replacement from {j: 3, p: 1, x: 1, z: 2, s: 5, i: 3}. What is prob of picking 1 z and 2 s? 4/91 What is prob of picking 1 t and 1 k when two letters picked without replacement from dttdttbktttbtk? 16/91 Four letters picked without replacement from bdbdvzbbvyyu. Give prob of picking 1 u, 1 y, and 2 b. 4/165 Four letters picked without replacement from rrrrrrrmmrmrrmrrmrr. What is prob of picking 4 m? 5/3876 What is prob of picking 2 p when two letters picked without replacement from {r: 11, b: 2, p: 2, v: 4}? 1/171 What is prob of picking 1 y and 2 f when three letters picked without replacement from eyyeyxyfeef? 4/165 What is prob of picking 1 d, 1 y, and 1 h when three letters picked without replacement from pdhdsxy? 2/35 What is prob of picking 1 a and 3 p when four letters picked without replacement from {v: 3, p: 5, i: 8, q: 2, a: 2}? 4/969 Four letters picked without replacement from cdjcjjdttdcxjjjcj. Give prob of picking 1 j, 2 c, and 1 x. 3/170 Two letters picked without replacement from {p: 9, f: 11}. What is prob of picking 2 f? 11/38 What is prob of picking 2 v when two letters picked without replacement from {v: 2, g: 2}? 1/6 Three letters picked without replacement from tcdcddjdcdttttcd. Give prob of picking 2 d and 1 t. 15/112 What is prob of picking 2 d when two letters picked without replacement from dgdng? 1/10 Calculate prob of picking 1 p and 1 n when two letters picked without replacement from {n: 1, p: 1, k: 2, j: 2, h: 2, x: 1}. 1/36 What is prob of picking 1 k and 2 g when three letters picked without replacement from {k: 1, r: 1, g: 1, f: 2}? 0 Four letters picked without replacement from {h: 2, q: 2, t: 1, s: 1}. Give prob of picking 1 t, 1 h, 1 q, and 1 s. 4/15 What is prob of picking 1 m and 2 y when three letters picked without replacement from {y: 2, m: 2, v: 2, o: 4}? 1/60 Four letters picked without replacement from {m: 3, w: 9, f: 1, q: 2, i: 4}. Give prob of picking 1 m, 2 w, and 1 q. 18/323 Calculate prob of picking 2 g and 1 j when three letters picked without replacement from wjgjwjgff. 1/28 Calculate prob of picking 1 a and 1 u when two letters picked without replacement from {i: 4, y: 2, f: 2, u: 1, a: 4, g: 1}. 4/91 Calculate prob of picking 1 u, 1 b, 1 g, and 1 w when four letters picked without replacement from wzzzgwbezuzww. 4/715 Two letters picked without replacement from {e: 3, w: 5, n: 6, d: 2, y: 2, h: 1}. Give prob of picking 1 w and 1 n. 10/57 What is prob of picking 1 e, 2 u, and 1 o when four letters picked without replacement from {o: 3, p: 1, u: 5, r: 1, e: 5}? 10/91 Calculate prob of picking 1 y and 1 d when two letters picked without replacement from {y: 1, t: 9, j: 2, r: 3, x: 1, d: 3}. 1/57 Two letters picked without replacement from eeeeazmzmeemzzzewwe. What is prob of picking 1 e and 1 m? 8/57 Calculate prob of picking 1 f and 1 h when two letters picked without replacement from hlglefh. 2/21 What is prob of picking 1 m and 2 x when three letters picked without replacement from {x: 4, y: 1, i: 4, m: 1}? 1/20 Two letters picked without replacement from huuuuh. Give prob of picking 1 u and 1 h. 8/15 What is prob of picking 1 j and 1 m when two letters picked without replacement from jsmmmjssxszxjssmm? 15/136 Calculate prob of picking 1 b, 1 g, and 1 c when three letters picked without replacement from {i: 1, n: 1, w: 1, b: 1, c: 2, g: 1}. 2/35 Four letters picked without replacement from gooouooiosusioooouu. Give prob of picking 1 s, 1 i, and 2 u. 2/323 Three letters picked without replacement from {l: 3, c: 3}. Give prob of picking 3 c. 1/20 Two letters picked without replacement from sssezszssses. What is prob of picking 2 s? 14/33 Two letters picked without replacement from jphbcchhtjjt. Give prob of picking 2 c. 1/66 What is prob of picking 2 b when two letters picked without replacement from ycllgcbblbblcbbllbtl? 21/190 What is prob of picking 4 a when four letters picked without replacement from aaaaa? 1 Calculate prob of picking 1 m and 3 a when four letters picked without replacement from amakoakoaakmaaoaaaaa. 88/969 Two letters picked without replacement from {g: 14, p: 5}. What is prob of picking 2 g? 91/171 What is prob of picking 1 y, 1 t, and 2 q when four letters picked without replacement from yeetyelqtt? 0 Two letters picked without replacement from {p: 4, l: 2, x: 2, u: 5}. What is prob of picking 1 p and 1 l? 4/39 Four letters picked without replacement from {c: 1, b: 4, a: 3}. Give prob of picking 2 b and 2 a. 9/35 Three letters picked without replacement from nbpnbbpnnbnnpf. What is prob of picking 1 f and 2 n? 15/364 Three letters picked without replacement from {k: 4, u: 1, y: 2, o: 9}. Give prob of picking 2 y and 1 o. 9/560 Calculate prob of picking 3 b when three letters picked without replacement from biribrrbb. 1/21 Three letters picked without replacement from {p: 2, y: 2, a: 5}. What is prob of picking 1 a, 1 p, and 1 y? 5/21 Four letters picked without replacement from {j: 7, g: 6}. What is prob of picking 4 g? 3/143 Four letters picked without replacement from {n: 4, d: 2, a: 5}. What is prob of picking 1 n, 2 d, and 1 a? 2/33 Four letters picked without replacement from {z: 5, v: 2, a: 6}. What is prob of picking 1 z and 3 a? 20/143 Four letters picked without replacement from {r: 2, o: 3, w: 2, t: 2, f: 1, y: 4}. Give prob of picking 2 y, 1 o, and 1 r. 36/1001 Three letters picked without replacement from {w: 1, g: 2, m: 2, x: 1, k: 1, f: 1}. What is prob of picking 1 g and 2 m? 1/28 Three letters picked without replacement from ttbttb. What is prob of picking 1 b and 2 t? 3/5 Three letters picked without replacement from tjtjjnjjjtnttjnnt. What is prob of picking 2 t and 1 n? 3/34 Calculate prob of picking 1 b, 2 i, and 1 p when four letters picked without replacement from pqpizpibpp. 1/42 Three letters picked without replacement from xwllhhhhxhhxqqx. What is prob of picking 1 l and 2 h? 6/91 Three letters picked without replacement from {l: 2, t: 2, s: 1}. What is prob of picking 1 t, 1 s, and 1 l? 2/5 Three letters picked without replacement from ahfaaatkhhkffzzazfff. Give prob of picking 2 a and 1 h. 1/38 Calculate prob of picking 2 g when two letters picked without replacement from {s: 3, n: 9, g: 4}. 1/20 Four letters picked without replacement from jiiciccjcc. Give prob of picking 3 c and 1 i. 1/7
{ "pile_set_name": "DM Mathematics" }
*-1004 100.4 -642506*-0.1 64250.6 Multiply 1.3 and 4393.9. 5712.07 What is the product of -3111 and -76? 236436 Calculate -22.87579*-2. 45.75158 -85 times 12905 -1096925 Calculate -118.1*-0.08. 9.448 Multiply -270.92 and -2. 541.84 Calculate -9609.6*-0.03. 288.288 13780*0.0257 354.146 2.1 times -2577.2 -5412.12 Multiply 0.7 and 4.357. 3.0499 Product of -11746 and -0.4. 4698.4 Multiply -7402 and -5. 37010 0.219 times -7221 -1581.399 2 * -91755 -183510 What is -3 times -0.19097? 0.57291 What is 3 times 0.9819? 2.9457 Work out -717785 * 3. -2153355 Work out -18 * -218504. 3933072 Calculate 0.041*-112.8. -4.6248 7497 times -54 -404838 Work out 60991 * 0.4. 24396.4 1167.788 * -0.3 -350.3364 -0.37*-12.81 4.7397 Multiply -0.5 and 631903. -315951.5 What is 4 times -0.929373? -3.717492 What is 702339 times -0.4? -280935.6 Work out -0.0328 * 101. -3.3128 -29197 * 0.3 -8759.1 0.144578*0.5 0.072289 What is 0.06 times 2.22874? 0.1337244 Product of -33 and 63. -2079 Work out -8 * -147511. 1180088 Calculate -0.15*-513.54. 77.031 0.5*-1118 -559 Calculate 0.4*4256. 1702.4 What is -0.48494 times -2? 0.96988 2618483 times -0.4 -1047393.2 105*-360 -37800 0.2 * 14218 2843.6 What is the product of -13110 and -0.109? 1428.99 Product of -1082.66 and 2. -2165.32 What is 134 times -0.1665? -22.311 Calculate -0.2*0.8182. -0.16364 Product of -29.23 and -5.8. 169.534 Multiply 0.2 and 61682. 12336.4 What is 936 times -0.04? -37.44 Work out 0.5 * -1.312751. -0.6563755 -79424 times 1 -79424 Calculate -0.0141*1.862. -0.0262542 Product of -0.198 and 0.03419. -0.00676962 Product of -922 and -1946. 1794212 Product of 721 and -7.7. -5551.7 What is the product of -1 and -3610? 3610 What is the product of -40 and 4409? -176360 -3574555*0.4 -1429822 -157*-0.059 9.263 -11 times -3635 39985 Calculate 0.2629*173. 45.4817 Multiply -0.6 and -25401. 15240.6 What is 90.2 times -6730? -607046 What is -0.4 times 3.168? -1.2672 Calculate -159.7*-111. 17726.7 Product of 67 and -0.231. -15.477 5930 * -20 -118600 Multiply -1615 and 0.327. -528.105 Product of 1.9 and -31720. -60268 -491*594 -291654 Calculate 2*42639. 85278 Calculate -504.9*-9. 4544.1 -0.6 * 16467 -9880.2 What is the product of 0.06 and -647? -38.82 What is the product of -67.5 and -0.044? 2.97 Calculate -218*-61.74. 13459.32 Product of -241 and -306. 73746 Calculate 150*11.2. 1680 -14683*0 0 Calculate 15*-0.17606. -2.6409 124263 times 0 0 What is -103 times 3208? -330424 -5 * 30050 -150250 Calculate -153.34*3. -460.02 Work out 2548175 * 5. 12740875 Calculate -6.05*319. -1929.95 0.46 times 0.05617 0.0258382 22377*0.5 11188.5 Calculate 1.906*-0.46. -0.87676 Product of -29 and -96. 2784 What is the product of 0.009113 and 3? 0.027339 What is the product of -108 and 5390? -582120 What is 26.1 times -78? -2035.8 What is 12084 times 0.3? 3625.2 What is the product of -12 and 25.63? -307.56 3251.8*0 0 Multiply -0.08 and 9.28. -0.7424 Product of -3568 and 0.45. -1605.6 Multiply -1.7 and 12266. -20852.2 What is the product of 0.12 and -3.392? -0.40704 Work out 83 * 27334. 2268722 Multiply -0.1 and 1135.9. -113.59 What is the product of 8 and 49.191? 393.528 Product of 80.3 and 27.02. 2169.706 659 times -0.034 -22.406 Product of 0.2 and -10.084. -2.0168 Work out 0.01523 * 5. 0.07615 Multiply -1441 and 37. -53317 Product of 618 and 53.1. 32815.8 -17617.7 times -0.08 1409.416 Work out -4.6825 * -4. 18.73 What is -2 times 272579? -545158 What is 0 times -6.719? 0 What is -276.87 times 0.36? -99.6732 Work out 1.15 * -1213. -1394.95 Calculate 0.55*-194. -106.7 What is -0.06999 times 0.39? -0.0272961 Work out -67492 * -3. 202476 30 times 1015 30450 2.20193 * 0.5 1.100965 What is -60 times 0.0169? -1.014 What is the product of -111212 and -0.2? 22242.4 211.219 times -0.1 -21.1219 0.2323 times -0.101 -0.0234623 -4.78*16 -76.48 What is the product of -133 and -102.8? 13672.4 What is the product of -1.37 and 3156? -4323.72 Calculate -22191*-10. 221910 Multiply -0.01 and -0.222229. 0.00222229 What is the product of 5.21 and -67? -349.07 What is 0.4 times 492888? 197155.2 Calculate -0.02189*-103. 2.25467 -60 times 10.73 -643.8 Work out -111 * 12.4. -1376.4 -305 * 22 -6710 What is the product of -12.3 and -515? 6334.5 Work out -33622 * 1.2. -40346.4 Product of 0.04 and 5.48408. 0.2193632 30 times 0.03984
{ "pile_set_name": "DM Mathematics" }
a(o) = -o**2 - o - 1. Let x(d) = d**2 - d - 1. Let z be x(-1). Let j(c) = -383044 + 383044 + 3*c. Calculate z*j(w) + 2*a(w). -2*w**2 + w - 2 Let v(u) = -10*u - 3. Let j(f) = 9*f + 3. Calculate -7*j(w) - 6*v(w). -3*w - 3 Let n(u) = -224*u - 28. Let m(b) = 25*b + 3. What is -28*m(l) - 3*n(l)? -28*l Let w(g) = 6*g - 7. Let z(j) be the second derivative of -2*j**3/3 + 5*j**2/2 + j. Let b be 2/4*(-15 + -3). Let k = b - -14. What is k*w(i) + 7*z(i)? 2*i Let h(x) = -4*x - 4. Let t be (-10)/5 + -11*1. Let m(n) = 2*n + 0 + 2 + 0*n. Determine t*m(f) - 6*h(f). -2*f - 2 Let d(q) = 17*q - 1 - 18 + 6. Let g(h) = -9*h + 7. Give 6*d(i) + 11*g(i). 3*i - 1 Let g be 1*(0 + 1)*-1. Let o(b) = 3*b + 4. Suppose 0 = 4*v + 7 + 9. Let k(m) = -7*m + 5. Let n(z) = -z + 1. Let s(w) = k(w) - 6*n(w). Determine g*o(d) + v*s(d). d Let i(m) = -2*m. Let q(n) = 3*n - 2. Let r be q(2). Let c be (-1 - 0)/(10/(-50)). Let g(o) = 2*o. Determine c*g(x) + r*i(x). 2*x Let q(w) = -1. Let s(m) = -2*m + m + 4 + 5 - m. What is -18*q(p) - 2*s(p)? 4*p Let s(t) = 7*t**3 + 5*t**2 + 6*t. Let y(h) = 6*h**3 + 4*h**2 + 5*h. Suppose -18 = 5*w + 7. What is w*s(q) + 6*y(q)? q**3 - q**2 Let w(b) = b**2 + 7*b + 7. Let l be w(-5). Let m(u) be the third derivative of -3*u**4/8 + 7*u**3/6 + 21*u**2. Let o(x) = -5*x + 4. What is l*m(g) + 5*o(g)? 2*g - 1 Let y(g) = g**2 + 6*g - 3. Let b(s) = -3*s**2 - 18*s + 10. Let m(q) = -4*b(q) - 11*y(q). Let n(o) = -2*o + 2. Determine -2*m(r) - 7*n(r). -2*r**2 + 2*r Let n(i) = -4*i + 7. Let m(l) = -l + 1. Let h(f) = -3*m(f) + n(f). Let o(t) = t - 3. Determine 5*h(k) + 7*o(k). 2*k - 1 Let g(w) = 5*w**3 - 5*w**2 - w + 2. Let l(o) = -6*o**3 + 6*o**2 + o - 2. Give 4*g(r) + 3*l(r). 2*r**3 - 2*r**2 - r + 2 Let v(k) = 5*k**2 + 7*k + 2. Let h(q) = q**2 - q. Determine 6*h(s) + v(s). 11*s**2 + s + 2 Let g(b) = 37*b. Let y(j) = -12*j. Calculate -3*g(q) - 8*y(q). -15*q Let d(v) = -3*v**2 + 5*v - 5. Let t(a) = -4*a**2 + 6*a - 6. Let u be ((-18)/10)/(15/(-50)). What is u*d(q) - 5*t(q)? 2*q**2 Let f(y) = -6*y + 41*y**2 + 0*y - 33*y**2 + 4*y. Suppose -d + 5 = -6*d. Let v be 6/(-4)*(-5 - d). Let i(w) = -7*w**2 + 2*w. Calculate v*f(g) + 7*i(g). -g**2 + 2*g Suppose -5 = -5*q - 0. Let f(o) = o + 4*o**2 + q + 1 - 1. Let r(l) = 9*l**2 + 2*l + 3. Calculate -5*f(v) + 2*r(v). -2*v**2 - v + 1 Let c(n) = 77*n**2 - 33*n - 33. Let u(p) = p**2 - p - 1. What is -c(o) + 33*u(o)? -44*o**2 Suppose 2*s + 2*f - f = -6, 3*s + f = -8. Let y(i) be the third derivative of -i**6/30 - i**2. Let g(l) = -3 + 3 - l**3. Determine s*y(q) + 7*g(q). q**3 Let a(d) = -2*d**2 + 2*d**3 - 1 - 3*d**3 + 0*d**2. Suppose 2 + 4 = n. Suppose w - n = -w. Let z(q) = 2*q**3 + 4*q**2 + 2. Give w*z(y) + 7*a(y). -y**3 - 2*y**2 - 1 Let t(v) = -2*v**2 + 5*v + 9. Let g(s) = 2*s**2 - 6*s - 8. Determine -4*g(l) - 5*t(l). 2*l**2 - l - 13 Let k(o) = -45*o - 1. Let y(u) = -23*u - 1. What is -3*k(a) + 5*y(a)? 20*a - 2 Let r(f) be the first derivative of -f**3/3 + 2*f**2 + 10. Let i(a) = 3*a. Give 4*i(x) - 3*r(x). 3*x**2 Let a(w) = -w. Let l(d) = -2*d**2 - 3*d - 1. Calculate -6*a(f) + l(f). -2*f**2 + 3*f - 1 Suppose r + 0 = -5. Let u(g) be the second derivative of 3*g + 0*g**2 - 5/3*g**3 + 0. Let l(w) = -4*w. What is r*u(v) + 12*l(v)? 2*v Let l(o) = 4*o - 5. Let t(c) = 2*c - 3. Calculate 3*l(n) - 5*t(n). 2*n Let t(a) = 16 - 14 - 2*a - 2*a. Let i(c) = 15*c - 11. Let d(x) = x + 1. Let v(b) = 2*d(b) + i(b). Calculate 9*t(f) + 2*v(f). -2*f Let z(x) be the second derivative of x**4/12 - x**2/2 + 12*x. Let j(s) = s**2 + 3. Determine -j(k) - 3*z(k). -4*k**2 Let p(j) = -j - 5. Let q(v
{ "pile_set_name": "DM Mathematics" }
, 26002, 2 in descending order. 26002, 4, 2, -1, -5 Sort 16, -1/5, -19, -2, 1/9782. -19, -2, -1/5, 1/9782, 16 Put -1, -5, -100, -65, -33, 4 in descending order. 4, -1, -5, -33, -65, -100 Sort -129999, -1, -61, 4, 5 in decreasing order. 5, 4, -1, -61, -129999 Sort -3, -1, -217565 in ascending order. -217565, -3, -1 Sort 267823, -2, -18 in increasing order. -18, -2, 267823 Put -49/5, 0.1, 4, 604, -4, -2/11 in ascending order. -49/5, -4, -2/11, 0.1, 4, 604 Sort 16, -4, 2, 21, -26. -26, -4, 2, 16, 21 Sort 3275, 229, 14 in decreasing order. 3275, 229, 14 Sort -4, -3, 5, 1266, 3, 124 in descending order. 1266, 124, 5, 3, -3, -4 Sort -429433, -5, 4, -2 in increasing order. -429433, -5, -2, 4 Sort -299, -1/4, 12/125, -0.22 in increasing order. -299, -1/4, -0.22, 12/125 Sort 3, 0.5, 0.7054, 1/1533, -0.2. -0.2, 1/1533, 0.5, 0.7054, 3 Sort -4/89, 1.5, -19 in ascending order. -19, -4/89, 1.5 Put 1.26, -0.2, 2/63231 in descending order. 1.26, 2/63231, -0.2 Sort -2, 17, -231754, -3, -4. -231754, -4, -3, -2, 17 Sort 9, -1, 34282. -1, 9, 34282 Put 5, -245, -14199 in ascending order. -14199, -245, 5 Sort -15089, 0, -3879 in ascending order. -15089, -3879, 0 Sort 243/4, -14, -5, -30. -30, -14, -5, 243/4 Put 7, 228, 3, 6, 13, 9 in ascending order. 3, 6, 7, 9, 13, 228 Sort 0.3, 150, 2/133, 3/7, -69, 2/9. -69, 2/133, 2/9, 0.3, 3/7, 150 Sort -3, -1/2, -2/5, -4, -241/235. -4, -3, -241/235, -1/2, -2/5 Sort 4, 3, -25, 28, 432 in decreasing order. 432, 28, 4, 3, -25 Sort 0, -3, -34/7, -15761, 2/9. -15761, -34/7, -3, 0, 2/9 Sort -1480, -44361, -2. -44361, -1480, -2 Sort -2, 3, -0.3, 6.760381, 1/4. -2, -0.3, 1/4, 3, 6.760381 Sort 8, 1, 4, -3699, 0, 3 in ascending order. -3699, 0, 1, 3, 4, 8 Sort 147, 0.33, -20/9, -42 in increasing order. -42, -20/9, 0.33, 147 Sort 7677331, 2, -4 in increasing order. -4, 2, 7677331 Put -97, -5, 1, 4, 4629 in descending order. 4629, 4, 1, -5, -97 Sort 11, 45, 2, 1, -2524, 7 in descending order. 45, 11, 7, 2, 1, -2524 Sort 2, -5, -8, 10, -2, -76, 7 in decreasing order. 10, 7, 2, -2, -5, -8, -76 Sort 303, -15, -3, 4, 1, 106 in descending order. 303, 106, 4, 1, -3, -15 Put 255/1546, 3/8, 2/5, 98 in ascending order. 255/1546, 3/8, 2/5, 98 Put -9, -1045, 3, 292 in ascending order. -1045, -9, 3, 292 Put -3, 8, -2, -1309, 3, 1 in increasing order. -1309, -3, -2, 1, 3, 8 Sort 0, 71, -3, 2376/13 in descending order. 2376/13, 71, 0, -3 Put -348, 3, 529, 0.3 in increasing order. -348, 0.3, 3, 529 Put -2, -9, 1, 0, -14, 6 in increasing order. -14, -9, -2, 0, 1, 6 Sort 3, 1204, 19, -2/9, 0.1, 11 in ascending order. -2/9, 0.1, 3, 11, 19, 1204 Put -4, -2/5, -577, 0, 1, 24 in descending order. 24, 1, 0, -2/5, -4, -577 Sort 4, -1, 9, 3, -3, 48, 14. -3, -1, 3, 4, 9, 14, 48 Put 16.93, -1/28, -2/147 in decreasing order. 16.93, -2/147, -1/28 Put 2, -57, 356, 0, -5, 28, -13 in increasing order. -57, -13, -5, 0, 2, 28, 356 Put -0.3, 9, -3/32, -4775 in ascending order. -4775, -0.3, -3/32, 9 Put 0, 1644, -0.2, 270, -0.4, 2/3 in decreasing order. 1644, 270, 2/3, 0, -0.2, -0.4 Sort -3, -4, 4992, -339 in decreasing order. 4992, -3, -4, -339 Sort 5, -76812, -5, -10 in increasing order. -76812, -10, -5, 5 Put -9, -1, 864913 in decreasing order. 864913, -1, -9 Put -10, -39, 15, 0.2, 4/3 in ascending order. -39, -10, 0.2, 4/3, 15 Sort 406, -11, 57, 2, -16 in decreasing order. 406, 57, 2, -11, -16 Sort -1335572, -4, -13 in ascending order. -1335572, -13, -4 Put -1, -54722, 5, -66 in descending order. 5, -1, -66, -54722 Put 0.1, -0.622, 0.4, -928 in decreasing order. 0.4, 0.1, -0.622, -928 Put 0, -3, -5.3, -48/217 in increasing order. -5.3, -3, -48/217, 0 Sort 15, -1006, 53 in increasing order. -1006, 15, 53 Sort -4, 15, -339, -14, 4, -10 in decreasing order. 15, 4, -4, -10, -14, -339 Sort -4/5, 894, -2, 99/7 in increasing order. -2, -4/5, 99/7, 894 Sort -86613, 4, 0.06, 3, -13 in decreasing order. 4, 3, 0.06, -13, -86613 Sort 3, 867, 1, 122 in ascending order. 1, 3, 122, 867 Sort 0.095, 1, -2/9, -0.5, 3, -80/9 in decreasing order. 3, 1, 0.095, -2/9, -0.5, -80/9 Put -3, -5, -10114, -216, -4, 3, 2
{ "pile_set_name": "DM Mathematics" }
**2 - 24*x + 3. Let n(y) = 55*o(y) - 3*s(y). Let p(i) = 24*i. Calculate p(n(k)). 264*k**2 Let c(s) be the third derivative of -7*s**6/72 + 41*s**3/6 - s**2 + 2*s. Let o(k) be the first derivative of c(k). Let j(q) = -2*q. What is o(j(l))? -140*l**2 Let f(v) = -4117*v - 6. Let k(u) = 13301987*u + 19385. Let y(g) = -19385*f(g) - 6*k(g). Let s(m) = -2*m**2. Give s(y(w)). -30062258*w**2 Let y(t) = 8*t. Let z(x) = -x + 205. Let m be z(23). Let b(h) = 1 - m*h**2 - 1 + 222*h**2. Calculate b(y(j)). 2560*j**2 Let t(v) = v**2. Let c(a) be the first derivative of 0*a**2 + 14*a - 5/3*a**3 - 12. Let i(l) be the first derivative of c(l). Give t(i(x)). 100*x**2 Let z(b) = -2*b. Let g(u) = -23*u**2 + 27*u + 1594. What is g(z(k))? -92*k**2 - 54*k + 1594 Let h(v) = 2 + 2*v - 3 + 1. Let l(y) = -4*y + 11 - 12 + 3. Let m(a) = a - 1. Let g(u) = -l(u) - 2*m(u). Calculate g(h(z)). 4*z Let b(o) be the first derivative of -o**6/90 - 5*o**3/3 + 9*o**2/2 + 26. Let q(k) be the third derivative of b(k). Let i(f) = -8*f. Give q(i(h)). -256*h**2 Let l(y) = 567*y. Let p(r) = -20*r. Let g(n) = 26*n. Let t(v) = 3*g(v) + 4*p(v). Calculate t(l(h)). -1134*h Let s(y) be the second derivative of -y**4/4 + y**3 - 3*y**2/2 - 11*y. Let g(n) be the first derivative of s(n). Let x(w) = -w**2. Determine g(x(u)). 6*u**2 + 6 Let d(q) = 11*q. Let s(m) = -186*m**2 - 511*m - 1. What is s(d(i))? -22506*i**2 - 5621*i - 1 Let t(k) = 4*k - 3. Let s(m) = 180 + 7*m**2 - 52 - 120 + 6*m**2. Calculate s(t(d)). 208*d**2 - 312*d + 125 Let m(c) be the second derivative of c**3/3 + 3604*c. Let i(g) = -2643*g**2. Give i(m(x)). -10572*x**2 Let x be 22/(-6)*(-4 + -6 + 19). Let n be x/(-77) + 333/7. Let u(s) = -48*s + n*s + 11*s**2. Let j(z) = 3*z. Determine u(j(r)). 99*r**2 Let r(w) = -107*w. Let m(u) be the third derivative of -u**5/4 - 441*u**2 - 5*u. Calculate m(r(i)). -171735*i**2 Let a(h) be the third derivative of -h**5/10 - h**2 + 588*h. Let w(i) = -1003*i. What is a(w(j))? -6036054*j**2 Let z(y) = -4*y. Let o(n) = -480*n + 890. Give o(z(b)). 1920*b + 890 Let a(z) = -978*z**2 - 3*z - 2. Let s(g) = 4748*g. Calculate s(a(t)). -4643544*t**2 - 14244*t - 9496 Let l(s) = -1596*s + 1596*s - s**2 - 3*s**2. Let c(h) = 723*h. What is c(l(f))? -2892*f**2 Suppose -67 = -3*t + h + 35, 0 = -3*h. Let b(f) = -210*f + t*f**2 + 210*f. Let v(z) = 2*z**2. What is v(b(y))? 2312*y**4 Let l(o) = -4552*o**2 + 9080*o**2 - 4532*o**2. Let i(n) = -2858*n. What is i(l(m))? 11432*m**2 Let v(t) = 7*t**2 + 6*t - 6. Let f(n) = -467*n - 6*n**2 + 3 + 232*n + 4 + 228*n. Let q(g) = -6*f(g) - 7*v(g). Let b(p) = 10*p**2. Calculate b(q(o)). 1690*o**4 Let j(q) = 10*q. Let t(g) = -68666*g - 2. Determine j(t(x)). -686660*x - 20 Let t(l) be the second derivative of 2*l**3/3 + 4*l - 18. Let r(g) = 15*g + 10*g - 3*g. Calculate r(t(y)). 88*y Let q(z) = -22 + 44 + 2*z**2 - 22. Let p(w) = -651*w**2 - 62*w - 124. Let d(l) = -31*l**2 - 3*l - 6. Let r(v) = 62*d(v) - 3*p(v). What is q(r(n))? 1922*n**4 Let f(l) = 14800*l. Let v(w) = -6811*w. Calculate f(v(i)). -100802800*i Let v(o) = -42*o. Let f(r) = -413707*r. Calculate v(f(s)). 17375694*s Let f(g) = 3*g**2. Suppose 2*y - 3*t + 2*t - 122 = 0, -3*y + 201 = 3*t. Let c(v) = 50*v**2 - y*v**2 - 410 + 410. Give c(f(q)). -117*q**4 Let c(o) = o**2 + o + 1. Let f(d) = 6 - 2*d**2 + 10*d**2 + d**2 + 30*d - 24*d. Let t(x) = -6*c(x) + f(x). Let h(b) = -23*b. What is h(t(n))? -69*n**2 Let v(z) = -z**2. Suppose -11 = 2*w - 3*y, -12*w + 4*y = 27*w - 58. Let i(x) be the second derivative of 18*x + 0*x**w + 0 - 31/6*x**3. Give v(i(t)). -961*t**2 Let i(d) = 784381*d**2. Let w(b) = -158*b**2. Give i(w(r)). 19581287284*r**4 Let y(b) = -3*b - 9. Let w(u) be the second derivative of 7*u**3 - 2002*u + 1. Give y(w(a)). -126*a - 9 Let h(s) = -11982661*s**2. Let o(q) = -36*q**2. Calculate o(h(b)). -5169029927073156*b**4
{ "pile_set_name": "DM Mathematics" }
0.4 Let d = 84 - 88.9. Let h = 4.899918 + d. What is h rounded to 5 dps? -0.00008 Let f = -2.8 + 3. Let t = f + 0.8. Let k = 1.00000038 - t. What is k rounded to seven decimal places? 0.0000004 Let u be 250/(-6)*48/(-2). What is u rounded to the nearest 1000? 1000 Let x = -28701.991 + 28683. Let y = 0.12 + 18.88. Let a = x + y. Round a to 2 dps. 0.01 Let x = 163237477 - 98637477. Round x to the nearest 1000000. 65000000 Let c = 57.68 + -0.68. Let r = c + -65.1. What is r rounded to 0 dps? -8 Let f = -10 - -6. Let b = -4.1252712 - -0.1252692. Let a = f - b. Round a to six decimal places. 0.000002 Let o be ((-4)/(-6))/(4/468). What is o rounded to the nearest 10? 80 Let n = -0.237 - -218.237. Let l = 218.111 - n. Round l to two decimal places. 0.11 Suppose 456 = 6*k - 24. Round k to the nearest 10. 80 Let s = -0.57 - -0.07. Let b = 33.9699 + -34.47. Let h = s - b. Round h to 3 dps. 0 Let t = -8 + 12. Let m = -95 - t. Let y = m - -88.6. Round y to the nearest integer. -10 Let u = 7.97896 + 8.02108. Let l = u - 16. Round l to five decimal places. 0.00004 Let o(c) = -8*c**2 - 6*c - 4. Let b be o(-4). Let w = b - 642. What is w rounded to the nearest one hundred? -800 Let d(l) = 115000*l. Let w be d(4). Round w to the nearest one hundred thousand. 500000 Let i = 0.17 - 0.154. What is i rounded to 2 decimal places? 0.02 Let j(n) = -n - 93. Let i be j(0). Let q = -45 - i. Suppose -12 = -4*f - q. Round f to the nearest 10. -10 Let h(x) = -9*x - 2. Let l(v) = -17*v - 4. Let s(a) = -11*h(a) + 6*l(a). Let o be s(6). What is o rounded to the nearest one hundred? 0 Let h = -11.306 + 16.97. Let n = -0.836 + 0.9. Let b = h - n. What is b rounded to the nearest integer? 6 Let t = 53280.0054 + -53264. Let n = t + -16. What is n rounded to 3 decimal places? 0.005 Let z be 2/5*10/4. Let g be 1 + z - (12 - 0). What is g rounded to the nearest integer? -10 Suppose 3*w = -5 - 1. Let h(o) = 335001*o + 2. Let y be h(w). What is y rounded to the nearest 100000? -700000 Let g be (-6)/(0 - 2) + -5. Let c be ((-125)/3)/(g/72). What is c rounded to the nearest 1000? 2000 Let q = 119138 + -19138. What is q rounded to the nearest 1000000? 0 Suppose 243 = 5*o - 752. Suppose n + 2*x = o - 649, -n - 455 = 3*x. Round n to the nearest 100. -400 Suppose 29*g - 25*g - 160 = 0. Round g to the nearest ten. 40 Let p = 0.183 + -0.302. Round p to 2 dps. -0.12 Let v = -9469451.999908 + 9469430. Let t = v + 22. What is t rounded to 5 dps? 0.00009 Let n = 2019.228 + -2015. Let i = n + 0.072. What is i rounded to the nearest integer? 4 Let a = -36 + 36.0375. What is a rounded to 3 dps? 0.038 Let x = 0.49 + -0.7. Let a = 0.21000044 + x. What is a rounded to seven decimal places? 0.0000004 Let o = 2.79000307 - 2.79. Round o to 7 decimal places. 0.0000031 Let z = 2.9126 + 16.097. Let r = z + -19. What is r rounded to three decimal places? 0.01 Let x be (3/(-4))/1*-12. Let f(l) = -9193*l**3 - 12*l**2 + 10. Let u be f(x). Let m = -2302659 - u. Round m to the nearest one million. 4000000 Let m = -3145712 - -3145711.4300054. Let x = -0.57 - m. Round x to six decimal places. -0.000005 Let p be 2/(-6) + 28/12. Suppose 19991 = p*w + 3*z, 2*w - 3*z + 29991 = 5*w. What is w rounded to the nearest one thousand? 10000 Let h = -11.54 - -10.6. Round h to 0 decimal places. -1 Let r = -13.07 - -13. Let u = r + 0.0667. Round u to three decimal places. -0.003 Let z = -7 - -7.021. Let q = z + -0.0209926. Round q to six dps. 0.000007 Let t = 2203 - 970. Let h = -16127 + t. Let u = -29894 - h. What is u rounded to the nearest ten thousand? -20000 Let w = -0.168 - -0.289. Let x = -1887.589 - -1886. Let p = w - x. Round p to one dp. 1.7 Suppose -20861 = 2*u - 3*w, 0 = 3*u - 4*w - 0*w + 31290. Let z(g) = 11809*g + 1. Let b be z(-3). Let p = u - b. Round p to the nearest 10000. 30000 Let v(m) be the first derivative of m**4/4 + 17*m**3/3 - 5*m**2 - 8*m + 1. Let z be v(-9). What is z rounded to the nearest 100? 700 Let c = 1.740483 + -515.649133. Let i = c - -568.90865115. Let h = i - 55. What is h rounded to 7 dps? 0.0000012 Suppose -14*j - 3240 = -11*j. What is j rounded to the nearest one hundred? -1100 Let v = 21.1522 - 245.3302. Let o = -224 - v. Round o to two decimal places. 0.18 Let j = 0.034 + -0.03449. What is j rounded to 4 decimal places? -0.0005 Suppose -4*o + 9 = 25, -4*x + 28 = -o. Let c(f) = -1800*f. Let n be c(x). What is n rounded to the nearest 1000? -11000 Let f = 9.388 - -3.676. Let r = -13 + f. Round r to two dps. 0.06 Suppose 0 = -3*n + 19 - 7. Let z be 8*-2*(-16750)/n. What is z rounded to the nearest 10000? 70000 Let v = 2744 - 2744.029936. Let b = 0.03 + v. Round b to 5 dps. 0.00006 Let x = 954369.750053 - 954371. Let k = -12 - -10.75. Let t = k - x. What is t rounded to five dps? -0.00005 Let u = 1 - 1. Let n = 3 - u. Suppose n*k + 5*q + 23771 = -18249, 4 = -q. What is k rounded to the nearest ten thousand? -10000 Let n = -0.1 - -0.099987. What is n rounded to 6 dps? -0.000013 Let s = -4.03 + 4. Let w = s - -0.
{ "pile_set_name": "DM Mathematics" }
*4/8 + 2*m**2. Let x(s) be the second derivative of a(s). Find the second derivative of x(r) wrt r. 6 Let i(l) be the second derivative of 4*l**3/3 - 2*l**2 - 2*l. Differentiate i(n) with respect to n. 8 Let u(j) = j**3 - j**2 - j + 1. Let r be -3*4/6*1. Let h(w) = 4*w**3 - 3*w**2 - 3*w + 4. Let v(c) = r*h(c) + 6*u(c). Differentiate v(g) with respect to g. -6*g**2 Let y(t) be the first derivative of 5*t**6/3 - 8*t**3/3 + 6. Find the third derivative of y(h) wrt h. 600*h**2 Let r(q) be the first derivative of 0*q + 5 - 8/3*q**3 - 1/2*q**2. What is the second derivative of r(b) wrt b? -16 Differentiate -55 + 43 + 4*z + 42 with respect to z. 4 Let f(a) be the second derivative of -a**4/8 - 7*a**3/6 - 4*a**2 - 6*a. Let d(r) be the first derivative of f(r). Find the first derivative of d(s) wrt s. -3 Let a(b) = -b**2 + 7*b. Let l be a(9). Let c be (-40)/l + 8/(-36). What is the third derivative of -m**3 + 0*m**4 + 2*m**c + m**4 + m**3 wrt m? 24*m Let n(f) be the first derivative of -f**5/30 + f**4/6 - 4*f**3/3 + 3. Let x(u) be the third derivative of n(u). Differentiate x(g) wrt g. -4 Suppose -2*j = -4*r, -2*j - 3*r = -6*r - 1. Find the third derivative of -5*h**5 + 4*h**5 + h**j - 2*h**5 - 3*h**2 wrt h. -180*h**2 Find the second derivative of 89*s**2 + 10*s**4 + 12*s - 89*s**2 wrt s. 120*s**2 Suppose -6 = -0*w - 3*w. Differentiate -3 + 0*m**3 + w*m**3 + 0*m**3 + 0 wrt m. 6*m**2 Let y(n) be the third derivative of 11*n**6/120 - 5*n**4/4 + 20*n**2. Find the second derivative of y(s) wrt s. 66*s Let r = -6 + 11. Differentiate 5 + 10*y**2 - r*y**4 - 10*y**2 with respect to y. -20*y**3 Let v(r) = 6*r**6 - 4*r**3 + 2*r**2 - 4*r. Let x(h) = 5*h**6 - 3*h**3 + 3*h**2 - 3*h. Let c(a) = -3*v(a) + 4*x(a). What is the third derivative of c(o) wrt o? 240*o**3 Let i(k) be the first derivative of k**2 + 0*k**2 - 2*k**3 + 0*k**2 + 1 + 3*k**3. What is the second derivative of i(u) wrt u? 6 Let t(o) be the third derivative of 0*o**3 - 5*o**2 + 0*o**5 + 1/8*o**4 - 1/40*o**6 + 0 + 0*o. Find the second derivative of t(c) wrt c. -18*c Let s(k) = -k**4 - k**3 - k**2 - 1. Let z(w) = w**4 - 4*w**3 - 4*w**2 - 18. Let h(l) = -4*s(l) + z(l). What is the derivative of h(y) wrt y? 20*y**3 Let p(n) = n - 7. Let t be p(0). Let d = t - -10. What is the second derivative of 2*m - 4*m + 3*m**d - m wrt m? 18*m Let o(a) = a**2 - a + 5. Let f be o(-5). What is the second derivative of -2*y + 35 - f - y**2 wrt y? -2 Let l(j) = -j**3 + 1. Let y(k) = -31*k**3 + 9*k**2 + 2*k + 2. Let s(u) = -2*l(u) + y(u). Find the third derivative of s(d) wrt d. -174 Let w(o) = -o**3 - o. Let b(m) = -2*m**3 - 11*m. Let q(r) = b(r) - 6*w(r). Find the second derivative of q(i) wrt i. 24*i Let h(c) be the third derivative of c**6/180 + c**5/30 - c**3/3 - 3*c**2. Let d(s) be the first derivative of h(s). What is the second derivative of d(u) wrt u? 4 Suppose g = 4 - 1. Find the third derivative of g*c**2 - 17*c**3 + 10*c**3 + 2*c**2 wrt c. -42 Let r = -9 + 12. Find the third derivative of o**6 + 2*o**6 - 5*o**6 + 0*o**6 - r*o**2 wrt o. -240*o**3 Let w(z) be the second derivative of z**7/7 - 5*z**4/4 + 15*z. Find the third derivative of w(g) wrt g. 360*g**2 Suppose -5*k = 16 + 9. Let j = k + 7. What is the derivative of 5*u**2 + 4 - 2 - 5 - u**j wrt u? 8*u Let i(p) be the first derivative of p**5 - 3*p**3 - 7. Find the third derivative of i(x) wrt x. 120*x What is the third derivative of -3*a - a**2 - a + 4*a**4 + 4*a wrt a? 96*a Let m be 12/5*(-10)/(-3). Find the second derivative of f**3 - 4*f + 2*f + m*f + 0*f**3 wrt f. 6*f Let w(u) = -62*u**4 + 28*u. Let x(h) = -25*h**4 + 11*h. Let i(b) = -5*w(b) + 12*x(b). Find the second derivative of i(c) wrt c. 120*c**2 Let y(z) = -z**2 + 4*z + 3. Let q be y(4). What is the second derivative of 0*k + k**q + 3*k + 3*k**3 - 5*k**3 wrt k? -6*k Let o(g) be the first derivative of g**5/5 + 23*g**2/2 + 35. What is the second derivative of o(z) wrt z? 12*z**2 Differentiate -18 + 11*g - 4 - 21*g wrt g. -10 Suppose -4*i - 5 - 3 = 3*b, -3*b = 3*i + 3. What is the second derivative of 3*y - 2*y + 2*y**b - 8*y wrt y? 24*y**2 Let a(s) be the first derivative of s**6/2 + 47*s**3/3 - 32. Find the third derivative of a(l) wrt l. 180*l**2 Let w(z) = z**5 - z**3 - z**2 + 1. Let b(c) = 8*c**5 + c**3 + 14*c**2 - 1. Let g(j) = -b(j) - w(j). What is the third derivative of g(k) wrt k? -540*k**2 Let h(u) = 6*u**3 - 5*u**2 - 2*u - 2. Let c(p) = -31
{ "pile_set_name": "DM Mathematics" }
0 = -16*l + 19*l - 12 for l. 4 Solve 0 = -19*d + 15*d for d. 0 Solve 3 - 19 = -4*p for p. 4 Solve 10*c = -9*c + 95 for c. 5 Solve 88*i = 105*i - 51 for i. 3 Solve 0 = 28*d + 278 - 82 for d. -7 Solve 0 = 10*u + 3*u - 39 for u. 3 Solve 50*w + 22 = 172 for w. 3 Solve 0 = -11*k - 12 - 21 for k. -3 Solve 23*o - 20 = 18*o for o. 4 Solve 16 = -5*g - 4 for g. -4 Solve x + 2 + 3 = 0 for x. -5 Solve 80*i + 303 = -17 for i. -4 Solve 2078 - 1958 = 15*d for d. 8 Solve -20*x = -14*x - 6 for x. 1 Solve 6*v - 10 = -10 for v. 0 Solve 26*g = 10*g + 112 for g. 7 Solve 2*r - r + 1 = 0 for r. -1 Solve -3 + 3 = 15*p for p. 0 Solve 4*t = 17 - 17 for t. 0 Solve 0 = 2*q - 3*q - 6*q for q. 0 Solve -25*s = 63 + 37 for s. -4 Solve 411*p = 405*p - 12 for p. -2 Solve -5*t - 20 = -10*t for t. 4 Solve 20*d + 8 = 18*d for d. -4 Solve 143 = 71*n - 70 for n. 3 Solve 86*p = 101*p for p. 0 Solve -68*w + 58*w + 30 = 0 for w. 3 Solve -9 = -3*w + 6 for w. 5 Solve -2*l + 2*l = l for l. 0 Solve -10*p + 53 = 63 for p. -1 Solve -3*r = -8*r - 15 for r. -3 Solve 5 = 9*k - 14*k for k. -1 Solve -312 = -64*c - 40*c for c. 3 Solve -8*k = 121 - 73 for k. -6 Solve 700*z = 711*z + 55 for z. -5 Solve 1 = -9*y + 8*y for y. -1 Solve 47 = 12*h - 1 for h. 4 Solve 12*g + 3*g + 60 = 0 for g. -4 Solve -14*b - 76 = -48 for b. -2 Solve 0 = 15*h - 17 - 28 for h. 3 Solve -11*t = -13*t + 8 for t. 4 Solve -57 = -6*r - 69 for r. -2 Solve 130 = -35*d + 9*d for d. -5 Solve 3*t = 7*t - 12 for t. 3 Solve -6*t + 36 = 30 for t. 1 Solve 92 = -28*w + 8 for w. -3 Solve 10756 = -c + 10767 for c. 11 Solve -3*k + 90 = 15*k for k. 5 Solve -34*f + 1 = -203 for f. 6 Solve -62 = 25*g + 13 for g. -3 Solve -161*u + 146*u = -45 for u. 3 Solve 8*s = -66 + 42 for s. -3 Solve 18 = 7*f - f for f. 3 Solve 13 - 43 = -15*b for b. 2 Solve -24*z = -22*z + 10 for z. -5 Solve -43*v + 34*v = -18 for v. 2 Solve -58 = 16*z + 42*z for z. -1 Solve -5*c + 8 = 18 for c. -2 Solve -18*n = 25*n for n. 0 Solve 0 = -o + 1 - 5 for o. -4 Solve 40 = -16*r + 24*r for r. 5 Solve -2 - 4 = -3*b for b. 2 Solve 234*n - 242*n = -16 for n. 2 Solve -6*u - 39 = 7*u for u. -3 Solve -27*h - 10 = -22*h for h. -2 Solve -m + 5 - 1 = 0 for m. 4 Solve -8*c - 2 = -9*c for c. 2 Solve -32*w + 11*w = -10*w for w. 0 Solve 33 - 149 = 29*h for h. -4 Solve 4*q + 51 = 63 for q. 3 Solve -1619*m + 45 = -1610*m for m. 5 Solve 10*p + 3*p + 78 = 0 for p. -6 Solve -12*p + 21 = -5*p for p. 3 Solve 5*k = 21*k - 16 for k. 1 Solve 245*h = 248*h - 12 for h. 4 Solve 47*m - 43*m = 8 for m. 2 Solve -94*i - 5 = -89*i for i. -1 Solve -16*v - 3*v - 12*v = 0 for v. 0 Solve -1123 = -5*d - 1133 for d. -2 Solve -56*s = -50*s - 30 for s. 5 Solve -74 = 7*c - 102 for c. 4 Solve 0 = -2*p - 7 + 5 for p. -1 Solve -440 = 27*g - 359 for g. -3 Solve -33*n + 63 = 30*n for n. 1 Solve -21*b + 66 = b for b. 3 Solve 2 = -2*w + 4 for w. 1 Solve -6*q = -20*q + 14 for q. 1 Solve 0 = -330*m + 337*m + 21 for m. -3 Solve -62*h - 273 = 223 for h. -8 Solve 9 + 9 = -9*c for c. -2 Solve -2*x + 9*x + 14 = 0 for x. -2 Solve -28*w + 12 = 68 for w. -2 Solve 0 = -86*v + 83*v - 9 for v. -3 Solve -17*o - 64 = -o for o. -4 Solve 17*k - 28 = 31*k for k. -2 Solve -21 = 11*o - 4*o for o. -3 Solve -7 = 2*l - 5 for l. -1 Solve 6*j = 5*j + 2 for j. 2 Solve -24*y + 10 = -19*y for y. 2 Solve -135*w + 36 = -147*w for w. -3 Solve -15*l = 12*l for l. 0 Solve 0 = -18*w + 4*w + 42 for w. 3 Solve -l = -5*l + 16 for l. 4 Solve 6 = -102*w + 103*w for w. 6 Solve -301*b + 63 = -294*b for b. 9 Solve 6*g = 5*g - 1 for g. -1 Solve 0 = 19*l - 10*l - 9 for l. 1 Solve -80 = 12*q - 32*q for q. 4 Solve -66*d + 60*d - 24 = 0 for d. -4 Solve -45*o = -58*o - 91 for o. -7 Solve -3*m = 10*m + 13 for m. -1 Solve 99 = 36*k + 27 for k. 2 Solve -3*s - 5 - 1 = 0 for s. -2 Solve -44*w - 68 + 200 = 0 for w. 3 Solve -8*u + 14*u - 6 = 0 for u. 1 Solve -4*t + 19 - 31 = 0 for t. -3 Solve 0 = -12*d + 36 - 0 for d. 3 Solve 0*o = -10*o + 3*o for o. 0 Solve 42*f + f + 129 = 0 for f. -3 Solve 157*f = 162*f - 25 for f.
{ "pile_set_name": "DM Mathematics" }
? (a) -1/2 (b) 1 (c) 1/6 (d) 2/7 (e) 2 c What is the second biggest value in -0.1, -1/3, 0.4, 0.09? 0.09 What is the second biggest value in 2/9, -2/53, 2/3? 2/9 Which is the second biggest value? (a) -2 (b) 3 (c) 2/11 c Which is the third biggest value? (a) -2/37 (b) -1 (c) 2 (d) 3 (e) 5/7 e What is the biggest value in 1/6, 0.1, 0, 2/15? 1/6 Which is the second biggest value? (a) 7 (b) 1 (c) 11 a What is the third biggest value in 10, -0.3, 4/5, 1? 4/5 Which is the third smallest value? (a) 1/20 (b) -2 (c) -10 a Which is the third biggest value? (a) 4 (b) 1 (c) -5 (d) -48/65 d What is the third smallest value in 2, 0.47, 1/11, -3, -4? 1/11 Which is the fourth biggest value? (a) -0.8 (b) 4 (c) 0.2 (d) 7 a What is the third biggest value in -433, -3, -4/5, 2/13? -3 What is the third smallest value in -1.67, -1/3, -5, 0.4? -1/3 Which is the smallest value? (a) 4 (b) -0.2 (c) 0 (d) 4/5 (e) 23 b Which is the second biggest value? (a) -2 (b) 0.14 (c) -5 (d) 0.4 (e) -0.1 b What is the second smallest value in -12.5, -2/9, 3? -2/9 Which is the second smallest value? (a) 0.1 (b) -1/5 (c) 2 (d) -2/19 d What is the biggest value in 0, -2, 0.4? 0.4 Which is the second smallest value? (a) -1 (b) 3/10 (c) -2 a Which is the third biggest value? (a) -0.5 (b) -34 (c) -2/39 (d) 3 (e) 3/5 c Which is the second biggest value? (a) 2 (b) -5 (c) 0.0441 c Which is the fourth smallest value? (a) 2 (b) 5 (c) -0.1 (d) 0.2 b Which is the third biggest value? (a) -4/5 (b) -0.18 (c) -0.4 a What is the biggest value in 0, -0.3, -1/8, 6, -3/2? 6 Which is the biggest value? (a) -2 (b) 5 (c) -2.4 (d) 3 b Which is the fourth biggest value? (a) -79 (b) -4/5 (c) 0.5 (d) 1 a What is the smallest value in -5, 2/19, 18? -5 What is the biggest value in 0.4, 5, -4, -127? 5 What is the third biggest value in -1, 1/10, 8? -1 What is the second biggest value in 279/4, 2, -2? 2 What is the third biggest value in -2, -944, 4? -944 Which is the third biggest value? (a) -0.4 (b) -51 (c) 3 b Which is the third smallest value? (a) 0.8 (b) -8 (c) -1/2 a Which is the biggest value? (a) -1/4 (b) -1 (c) 620 c Which is the fourth biggest value? (a) -7/29 (b) -0.4 (c) 1 (d) -3 d What is the second smallest value in 28/15, 2/3, -5? 2/3 What is the second biggest value in -6, -4, -1/4? -4 What is the third smallest value in -2/13, -0.3, 270? 270 Which is the biggest value? (a) 5 (b) 8 (c) -2/11 (d) -19 b Which is the fourth biggest value? (a) -3 (b) 0.028 (c) -4/5 (d) -1/4 a Which is the biggest value? (a) -5 (b) 0.4 (c) -1/18 b Which is the third smallest value? (a) -0.1 (b) 2 (c) -69 b Which is the smallest value? (a) -123 (b) 1 (c) 4 a Which is the biggest value? (a) 4/117 (b) 4 (c) 1 b What is the fourth smallest value in 5, -10, -0.1, 3, -2? 3 Which is the third smallest value? (a) 4 (b) 3 (c) 5 (d) 0.06 a What is the fourth smallest value in 7, -3, 6/5, -2/3, 21? 7 What is the second smallest value in 2/15, -3.7, 0.4? 2/15 What is the second biggest value in -0.19, 5, 1/5, 4? 4 Which is the second smallest value? (a) 0.2 (b) 1 (c) 0.1 (d) -0.2 (e) 0.07 e Which is the smallest value? (a) 14 (b) -4 (c) 5 b What is the third biggest value in 0.1, -0.22, 2/13, 0.16? 0.1 What is the third smallest value in 2/3, -329, -0.2, -1/3, 0.2? -0.2 What is the biggest value in -2, -4, 114? 114 Which is the fourth smallest value? (a) 2 (b) 4 (c) 2/13 (d) -10.3 b Which is the third biggest value? (a) 1 (b) -148 (c) 11 b Which is the third smallest value? (a) 2/39 (b) -0.3 (c) 4 (d) -2/17 a Which is the second biggest value? (a) -191 (b) -0.3 (c) -1 (d) 2 (e) 4 d What is the fifth biggest value in 4, 0.11, 0.3, 0.04, 2? 0.04 Which is the second biggest value? (a) 2/3 (b) -0.2 (c) 3.81 a Which is the biggest value? (a) -3 (b) 6 (c) 0.2 (d) -1.1 b Which is the biggest value? (a) 5 (b) -0.5 (c) 0 (d) 27 (e) 8 d What is the second biggest value in -0.2, 4, -68/9, 3? 3 Which is the third smallest value? (a) 1 (b) 3/5 (c) -4 a What is the third biggest value in -1/22, 0, -5, -0.01? -1/22 Which is the third smallest value? (a) 92 (b) 3 (c) 2 a Which is the third biggest value? (a) 5.7 (b) 0.2 (c) -0.2 c Which is the second smallest value? (a) -1 (b) 4/7 (c) 2 (d) 1/5 (e
{ "pile_set_name": "DM Mathematics" }
g)/(1/48). What is x rounded to the nearest 10? -20 Let f = -0.091 + -0.294. What is f rounded to two decimal places? -0.39 Let o = -181 + 181.013. What is o rounded to 2 decimal places? 0.01 Suppose 0 = 4*s + 8 + 12. Let j(c) = 336*c**2. Let m be j(s). What is m rounded to the nearest 1000? 8000 Suppose 0 = -4*p + 1006 - 258. What is p rounded to the nearest ten? 190 Let m = 1.4 - -1.1. Let j = -2.3069 - 0.1351. Let h = j + m. What is h rounded to 2 decimal places? 0.06 Let p = 6.88 - -0.12. Let j = 58428070 + -58428076.99999972. Let r = j + p. What is r rounded to seven decimal places? 0.0000003 Let x = 87.444 + -88. Round x to 1 decimal place. -0.6 Let b = -0.42 + 0.4200084. What is b rounded to 6 dps? 0.000008 Let d = 1.968 + -2. Let l = 2.132 + d. Round l to 0 decimal places. 2 Let m = -9.64 - -10.3. Round m to 0 decimal places. 1 Let x(k) = -k**2 - 8*k - 12. Let s be x(-6). Round s to the nearest 100. 0 Let s = 10 - 6.68. What is s rounded to one decimal place? 3.3 Suppose -2*o = 2*p + 3*o - 45600020, -4*p + 4*o = -91199984. Suppose 0 = 3*w - k + p, k + 16830288 + 13569712 = -4*w. Round w to the nearest 1000000. -8000000 Let a = 0.8549 - 0.0534. Let c = a + -0.8. Round c to three decimal places. 0.002 Let v = -295230.9999936 - -295235. Let p = -17.2 + 13.2. Let i = p + v. Round i to six decimal places. 0.000006 Let p be 1/(-2) + 153/6. Suppose l + 347 = -l + 3*b, -5*b - p = 0. Round l to the nearest ten. -180 Suppose -i = 2*l + i + 4, 0 = -2*i - 8. Let u be ((-506)/33)/(l/12). Round u to the nearest 10. -90 Let u = -1450 + 1443.61. Let w = -0.11 + u. Let o = -9 - w. What is o rounded to zero decimal places? -3 Let y = 5 - -2. Suppose 8 = 3*d - y. Suppose 3*g + 30000 = -5*a, -5*a + d*g - 30000 = -0*g. Round a to the nearest 10000. -10000 Let g = 15.89 - 16. Let f = -0.126 - g. Round f to two dps. -0.02 Let q = 12 + 3. Let p = 47387445 - 47387460.0000045. Let k = p + q. What is k rounded to six decimal places? -0.000005 Let b(y) = y. Let o(x) = -x - 1. Let s be o(-1). Let c be b(s). Suppose c = j + 2*j + 510. Round j to the nearest 100. -200 Let l = -58.44234 + 0.07234. Let t = 115 + -57. Let y = t + l. Round y to one decimal place. -0.4 Let r be ((-10)/15)/((-2)/162). Let i be (-9)/(r/80)*-525. Round i to the nearest ten thousand. 10000 Let a = -1.2 + -8. Let m = a + 10. Let t = 0.79999866 - m. Round t to 7 dps. -0.0000013 Let h = -1.8 - -1.98. Let r = -22352 + 22351.82026. Let w = r + h. What is w rounded to 4 decimal places? 0.0003 Let f = 20693 - 20692.939996. Let j = 0.06 - f. Round j to six decimal places. -0.000004 Let i = -86 - -59. Let v = -19 - i. Let a = -7.9999993 + v. Round a to 7 dps. 0.0000007 Let n be (0 + (-146400)/(-18))*(-749 - 1). Round n to the nearest 1000000. -6000000 Let n = -9.1 + 9. Let v = 0.4 + -0.325. Let y = v + n. Round y to 2 dps. -0.03 Suppose 5 = -i, 3*i = 3*g - 0*i - 771. What is g rounded to the nearest ten? 250 Let k(m) = 4 + 21805*m**2 - 9*m + 23094*m**2 + 2 + 0*m. Let h be k(7). Let o be h*3/6 + 3. What is o rounded to the nearest 100000? 1100000 Let y = -2.3 + 2.30003. What is y rounded to four decimal places? 0 Let a = -12545562.99941 + 12545429. Let s = a - -134. Round s to four decimal places. 0.0006 Let b be (5*1088)/(4/550). What is b rounded to the nearest one hundred thousand? 700000 Let t = -0.1371 + 0.0527. What is t rounded to 2 decimal places? -0.08 Let z = 1603.451 + -1.451. Let t = -1612.73 + z. Let k = -10.2 - t. What is k rounded to 1 dp? 0.5 Let c = 8.11217 - -2646.18183. Let g = 2668.293993 - c. Let d = 14 - g. Round d to six dps. 0.000007 Let q = 291.88 + -299. Let b = 0.58 - q. Let g = 7.70086 - b. Round g to 4 decimal places. 0.0009 Let w be 6 - (0 + 0 + 0). Let l(b) = 3*b + w*b - 3*b - 4 - b**2. Let d be l(3). Round d to the nearest 10. 10 Suppose -t + 3*t - 12 = 0. Suppose 2*k + 3839988 = -3*g, g - t*g = -3*k - 5760001. Let y be 1/(-2) + k/6. What is y rounded to the nearest one hundred thousand? -300000 Let t(c) = -c**2 + 6*c + 1. Let u be t(7). Let f(d) = d**3 + 9*d**2 + d + 3. Let s be f(u). Round s to the nearest 10. 110 Suppose 417 = 2*d + 63. Let a = 286 - d. Suppose 6*v = v - 5*s - 185, 5*s = -3*v - a. What is v rounded to the nearest 10? -40 Let g be (-14)/49 + 74/14. Let h be (-244000)/g*(24 + 1). Round h to the nearest one hundred thousand. -1200000 Let a = 100496.0100053 + -100496. Let m = -0.01 + a. Round m to 6 decimal places. 0.000005 Let c = 0.2736175 - 0.3936152. Let y = c + 0.12. Round y to 6 decimal places. 0.000002 Let n(l) = 26349*l + 171825*l - 48174*l. Let b be n(-9). What is b rounded to the nearest one hundred thousand? -1400000 Let f = 0.98 - 0.9. Let l = f - -11.32. What is l rounded to the nearest integer? 11 Let u be 4*-1*(-1130)/(-40). What is u rounded to the nearest ten? -110 Let p = 505 - 944. Let i = p - -69. Round i to the nearest 100. -400 Suppose 6 = 2*c + 2. Suppose -c*b + 4*i + 26 = 0, -3*b + i - 5 = 6*i. Suppose -b
{ "pile_set_name": "DM Mathematics" }
-2044? -2044 In base 10, what is 0 - 961? -961 In base 11, what is -30 - 3? -33 In base 6, what is 305511 - -3? 305514 In base 4, what is -1 - 2231? -2232 In base 11, what is 4 - 478? -474 In base 8, what is -50 + -1? -51 In base 15, what is -9425 - -1? -9424 In base 4, what is -323 + -11? -1000 In base 12, what is 20 - -b? 2b In base 16, what is -1 - 7ae? -7af In base 12, what is 5b1 - 8? 5a5 In base 3, what is -11022202 + -10? -11022212 In base 7, what is 3525 + 3? 3531 In base 8, what is -2 + -232? -234 In base 10, what is 46 + 4? 50 In base 8, what is -67 + 607? 520 In base 12, what is -a5 - -2? -a3 In base 16, what is -5 - -261? 25c In base 8, what is 5062 - -1? 5063 In base 15, what is -4 - 1b? -20 In base 12, what is 4 + 12a8? 12b0 In base 13, what is -1 + 57? 56 In base 5, what is -2 + 140? 133 In base 4, what is 1 - -1201? 1202 In base 3, what is -11221 - 10? -12001 In base 9, what is -3 + 18? 15 In base 5, what is 0 + 1143? 1143 In base 11, what is 752 - 2? 750 In base 3, what is 22201 - -11? 22212 In base 11, what is -30 + 3? -28 In base 7, what is 4 - 444? -440 In base 2, what is 1010011111 + 101? 1010100100 In base 13, what is 8 + 89? 94 In base 3, what is 1111211201 - 1? 1111211200 In base 16, what is -69ae + 3? -69ab In base 15, what is 5 + -269? -264 In base 9, what is 3 - -2250? 2253 In base 4, what is -101 + -1? -102 In base 3, what is -11111111 + 1? -11111110 In base 2, what is -1001 - -111? -10 In base 10, what is -110 + 6? -104 In base 9, what is 5 + 813? 818 In base 6, what is 204 + 42? 250 In base 4, what is -223013 - 0? -223013 In base 11, what is -3 - 1a0? -1a3 In base 13, what is -94 + c? -85 In base 12, what is -1 + 629? 628 In base 3, what is 101010 - -102? 101112 In base 12, what is -7 - 9? -14 In base 11, what is -2 + -54? -56 In base 6, what is -4114 - -3? -4111 In base 13, what is 4 - 6cb? -6c7 In base 14, what is 7 - 1b? -14 In base 13, what is -2 - 290? -292 In base 11, what is -4 - -a0? 97 In base 4, what is 22122 - -1? 22123 In base 9, what is -451 + 5? -445 In base 6, what is 3 - -3451? 3454 In base 8, what is 1075 - -11? 1106 In base 4, what is -20 - -20222? 20202 In base 14, what is 9 - -2d? 38 In base 16, what is 106 - 4? 102 In base 15, what is -16 + -106? -11c In base 6, what is -1 + 41032? 41031 In base 13, what is 0 + 94? 94 In base 5, what is 100 + -1100? -1000 In base 14, what is 31 + 1c9? 21a In base 2, what is -1 + 0? -1 In base 12, what is -3 + 51? 4a In base 7, what is 5 - 140? -132 In base 9, what is -136 - 4? -141 In base 5, what is 41 + 4231? 4322 In base 13, what is -a7 - -39? -6b In base 3, what is 2210011 + -2? 2210002 In base 13, what is -68 - 2? -6a In base 10, what is 9592 - -1? 9593 In base 3, what is 12 - 2200121? -2200102 In base 11, what is 36 - -3? 39 In base 12, what is 5 - 2b2? -2a9 In base 11, what is 8 - -88? 95 In base 5, what is -3 - 20031? -20034 In base 13, what is 17 + 76? 90 In base 14, what is -44 + b? -37 In base 15, what is -3 + 3? 0 In base 10, what is -69 + -168? -237 In base 7, what is 16 + 5? 24 In base 5, what is -34 + -4243? -4332 In base 5, what is 311 + 11? 322 In base 9, what is -28 + 4? -24 In base 16, what is 29 - 6? 23 In base 8, what is -535 - 4? -541 In base 7, what is -3642 + -4? -3646 In base 16, what is 4 - -f5a? f5e In base 9, what is 23438 + 0? 23438 In base 6, what is -1 + -12534? -12535 In base 12, what is 4 + -1b? -17 In base 16, what is 3b - 22? 19 In base 4, what is 0 + -12? -12 In base 4, what is -22 - -20? -2 In base 3, what is -1 - -12202? 12201 In base 15, what is -681 + 8? -678 In base 7, what is 3 - -4510? 4513 In base 9, what is 264 - 0? 264 In base 12, what is 15 - 1? 14 In base 4, what is -1111203 - 1? -1111210 In base 4, what is -13012 + -3? -13021 In base 8, what is -400 + -5? -405 In base 13, what is -3 + -21a? -220 In base 12, what is -50 - -15? -37 In base 8, what is 22 - 42? -20 In base 4, what is -1 + 1132? 1131 In base 2, what is -10 - 111100? -111110 In base 7, what is -2405 - -5? -2400 In base 14, what is -9 + -20a? -215 In base 15, what is 8 + 10d? 116 In base 5, what is -10200 - -23? -10122 In base 7, what is -22621 - -4? -22614 In base 16, what is -2 + -267? -269 In base 12, what is 2 + -96? -94 In base 3, what is -2020222 - -2? -2020220 In base 3, what is -21111 + 120? -20221 In base 11, what is 5 + 4? 9 In base 14, what is 1 - -57? 58 In base 2, what is -1011101000 - 11? -1011101011 In base 4, what is -1330 + 1? -1323 In base 12, what is 9 + 610? 619 In base 8, what is 0 + 3752? 3752 In base 11, what is 27 + 23? 4a In base 10, what is -4 - 151? -155 In base 6, what is 433
{ "pile_set_name": "DM Mathematics" }
4*o - 2. Let f(m) = 10*m**3 - 10*m**2 - 13*m + 7. Let w(c) = 2*f(c) + 7*h(c). Let s = 83 + -85. What is the units digit of w(s)? 8 Let h be (3/(-6) + 3)*4. Let r(g) = g**2 - 16*g + 20. Let d be r(h). Let w = -5 - d. What is the tens digit of w? 3 Let g = -1485 - -2789. What is the thousands digit of g? 1 Suppose 2*c - 15 = -5. Suppose -c*y = -6*y + 80. What is the units digit of y? 0 Let n = -796 + 1221. What is the hundreds digit of n? 4 Let f(r) = r**2 - 10. Let h be f(-7). Suppose 2*a = 2*j - 58, -3*j - 2*a + 43 = -h. What is the tens digit of j? 2 Suppose -3*l - 4*r = 34 - 312, -3*l + 3*r + 243 = 0. Let b = l + -59. Suppose t + b = 4*t. What is the units digit of t? 9 Let u(w) be the second derivative of w**4/12 + 2*w**3/3 + 61*w**2 + 18*w. What is the units digit of u(0)? 2 Let b be ((-2)/(-6))/((-17)/(-29325)). Suppose 2*n + 5*c = 3*n - 115, -5*n - 2*c + b = 0. What is the units digit of n? 5 Let d(a) = a**3 + 30*a**2 + 82*a + 68. What is the units digit of d(-23)? 5 Let i(a) = -a**2 - 6*a - 5. Let z be i(-5). Suppose 2*q + q - 81 = z. Suppose 3*n - q = -5*l - n, 3*l + 4*n = 13. What is the units digit of l? 7 Suppose -2584 = -2*s - 4*r, -2*s + 2586 = -2*r - 10. What is the units digit of s? 6 Let w = -2497 - -6714. What is the units digit of w? 7 Let w be (-2 - 2) + 10 + 0. Suppose -4*f - 2*u = -w*f + 218, -100 = -f - 2*u. What is the tens digit of f? 0 Let f(y) = y**3 + 3*y**2 - 2*y - 2. Let w be f(-2). Let v be (w/(-4))/((-1)/2). Suppose c + 11 = -v*c - 5*g, 2*c = -3*g - 7. What is the units digit of c? 1 Suppose 5*k - 5*s = 205, -5*k + s + 121 = -88. Suppose -w = -z - 85, -2*w - 5*z = -198 + k. Suppose w = 3*c + 5. What is the units digit of c? 6 Suppose 0 = -3*t + 15, -1 = 2*m + 4*t - 27. What is the tens digit of (-5 - -3) + (105 - m)? 0 Suppose -4266 = -o - 5*j - 1656, -3*o = -2*j - 7745. What is the units digit of o? 5 Let k be 3/(-2) + 11/2. Suppose -5*j + 4*j + 73 = 2*n, -k*j + 280 = 2*n. What is the units digit of j? 9 Let p(a) = -a - 3. Let z be (-13 - -11)*(-1 - 0). Let v be p(z). Let u(l) = -l**3 - 3*l**2 + 5*l - 5. What is the tens digit of u(v)? 2 Suppose -v = -5*h + 6369 - 150, -5*v = -2*h + 2506. What is the thousands digit of h? 1 Let y(u) be the first derivative of -2 - 1/3*u**3 - 8*u + 6*u**2. What is the tens digit of y(7)? 2 Let u be (11 - 9)*(-114)/(-2). Let b = 174 - u. What is the tens digit of b? 6 Suppose -3*o + 2*o = -3. Suppose o*v = 5*h - 340, v + 190 = 3*h + 2*v. Suppose -h = -4*y - y. What is the units digit of y? 3 Suppose 2*m - 24 = 5*m. Let s = -6 - m. What is the units digit of s? 2 Suppose -3*z + 0*z = -21. Let y be (-4218)/(-14) - (-10)/(-35). Suppose 0 = z*c - 70 - y. What is the units digit of c? 3 Let f(u) = 17*u + 13. Let w(x) = 84*x + 66. Let j(n) = -14*f(n) + 3*w(n). What is the units digit of j(9)? 2 Let r(p) = 4*p**2 + 288. What is the hundreds digit of r(0)? 2 Suppose 8 = 3*y - y. Let x = -189 + 318. Suppose y*j + x = 7*j. What is the units digit of j? 3 Let k = -65 - -63. What is the units digit of (5 + k)*64/6? 2 Suppose 4*m + y + 3*y = 0, -y - 12 = -5*m. Let q = 3 - 0. Suppose g - 32 = -2*g + i, -q*g - 5*i + m = 0. What is the units digit of g? 9 What is the tens digit of 2*(6 - (-909)/18)? 1 Suppose 3*p + 5 = -1. What is the units digit of 1/(-5*p/110)? 1 Suppose -2*u = -5*o + 310, u = 3*o + 2*u - 175. Let f = -39 + o. Let h = -6 + f. What is the units digit of h? 5 Let u = -22 - -25. What is the tens digit of -23*(0 - -3 - (u - -1))? 2 Let h(c) = -4*c**2 - 14*c - 19. Let m(q) = 11*q**2 + 43*q + 56. Let f(r) = 8*h(r) + 3*m(r). What is the hundreds digit of f(-22)? 1 Suppose 3*m - 3*d = -5*d + 6, -5*d = -5*m + 10. What is the units digit of (2 + 0 + 98)/m? 0 Suppose -41040 = -282*r + 262*r. What is the tens digit of r? 5 Suppose 1847 = 5*c - 548. What is the hundreds digit of c? 4 What is the hundreds digit of (-6 + 10)/16 + (-2577)/(-12)? 2 Let a be (30/9 - 4/12) + 471. Let c = -293 + a. What is the units digit of c? 1 Let m(i) = -i - 4. Let l be m(8). What is the units digit of 18/l + (-195)/(-6)? 1 Let j = 280 + 172. What is the tens digit of j? 5 Let p(o) = -11*o + 1066. What is the tens digit of p(0)? 6 Let p(o) = -2 + 4 + 1 - 2 + 18*o. Let i be p(-1). Let c = i + 22. What is the units digit of c? 5 Let b = 126 - -781. What is the hundreds digit of b? 9 Let x(z) = -z**3 + 6*z**2 - 4*z. Let c be x(5). Suppose -197 + 19 = -u - 5*m, 4*u - c*m = 637. What is the units digit of u? 3 Suppose -395 - 1710 = -4*v - 3*k, -4*v + 2*k = -2110. What is the tens digit of v? 2 Let l = -6636 + 11277. What is the thousands digit of l?
{ "pile_set_name": "DM Mathematics" }
-2)/1 - (p/20 + 3). Is 11 at least v? True Let n = 5085 - 5117. Are n and -50 nonequal? True Suppose 231 - 255 = 4*v. Let l be 1 - (-12 + 6) - 3. Which is greater: v or l? l Let q be 10/27*30/(-4). Let r = -58199 - -58195. Is r > q? False Let a be (-6 + (3 - 0))*-111. Is a smaller than 667/2? True Let r be (-35)/26*(-8)/((-320)/552). Let o = -37/2 - r. Let i = 944/3 + -312. Is i less than o? False Let f be (-1375)/1045*(1 + -2). Which is bigger: f or 0? f Let n be 20/3850*(0 - 438/(-48) - 6). Which is greater: -0.9 or n? n Let l = 67.88 + -67.78. Is l > -1540/3? True Let k = -25660 + 25480. Does -2350/13 = k? False Suppose -60 = 17*a - 20*a. Let f be 2805/70*a/(-15). Is -52 less than f? False Let g = 237/14 - 50/3. Let p = g - 1513/5670. Which is smaller: 0 or p? p Suppose 4*v = 7*v + 237. Let p = v - -81. Suppose -4*d + h = 1, 0*h - 3*h - 7 = -p*d. Do d and -2/151 have the same value? False Let x = -30.91 + 31.61. Which is bigger: x or 22/35? x Let h = 24061 - 22618. Is h > 5777/4? False Let o = 75866/175517235 + -4/21915. Do o and 1 have the same value? False Let p be ((-351)/(-36) + -9)/((-2)/(-8)). Let i be (-1)/(-4) + 75/(-12). Let j be (18/132)/(p/i). Which is smaller: 0 or j? j Let o = 7.5 - -0.5. Let c = o - 7.8. Let p(d) = -d**2 - 1. Let k be p(3). Is c less than k? False Let u(c) = c**3 + 28*c**2 - 28*c + 42. Let r be u(-29). Let b = -5 + 8. Suppose w = -b*w + 60. Is w >= r? True Suppose 5*i + 12 = -a, 0 = -0*a - 2*a + 2*i + 24. Suppose -d = -4*y, 4*d + 2*y + 18 = -0*d. Let q be (3 - 0) + d + 7/1. Is q smaller than a? True Suppose 0 = -r - 0*r, -10 = -5*j + 2*r. Suppose j*y - 11*y = -423. Let l = 46 - y. Which is bigger: l or 4? 4 Suppose 37 = 3*v + 28. Let w be v/(-15) - (-288)/(-160). Let x = 16 + -31. Which is bigger: x or w? w Let n be (-582)/9*1*3. Let f = -390880 + 5475033/14. Let y = f + n. Which is bigger: -1 or y? y Let f(j) = 2*j**2 + 52*j - 26. Let l be f(-27). Suppose 2*v = 4*s + 44, 25*v - l*v + s = -66. Which is greater: v or 21? v Let v = -2.4 - -0.2. Let b = 0 + v. Let c(x) = x - 18. Let r be c(20). Is r not equal to b? True Suppose 271*o - 86*o - 185 = 0. Which is smaller: 1/475 or o? 1/475 Let q be (-2*3305 - -4) + 1. Let y = -13509/2 - q. Let a = y - -2125/14. Is 3 greater than a? True Let k be 1/(-4)*(-15 - -43)/7. Suppose 0 = -3*y - y + 3*q - 4, 1 = -y - q. Let o be 1/(y/k)*-10. Which is bigger: -9 or o? -9 Let f = 227 - 227. Suppose -t = 8 - 0. Which is smaller: t or f? t Suppose -x + 5 = 0, 2*r + 2*x = 24 - 16. Are -2/12423 and r unequal? True Suppose 3*r + 9 = 2*x - 2, 2*x + 2*r + 4 = 0. Suppose -112 = -g - 386. Let t = g + 3020/11. Is t at least as big as x? False Let j = -1652 - -2868. Let h be (5/(-170))/((-4)/j). Let s = -7178/799 + h. Which is smaller: s or -2/5? -2/5 Let l be (-46 - -13)*4/(-6). Let d(n) = -5*n + 127. Let b be d(l). Which is bigger: b or 7? b Let h = 105.05 - 105. Let v = 4.85 + h. Let k = 4.866 - v. Do k and 0 have the same value? False Let w be -191*(-4)/(-3) + 0/(-7). Let x = w - -255. Is 115 greater than or equal to x? True Let u(v) be the second derivative of v**4/6 - v**3/2 - v**2/2 - v. Let d be u(-1). Suppose -3*f = d*z - 39, -18 = -5*f + 7. Is z smaller than 15? True Let y(z) = -14*z - 6. Let l be y(-1). Suppose -785 = -l*x - 785. Is 2/1459 less than x? False Let c = 0.786 + -0.986. Let w = 55214/119 + -464. Is w at least c? True Suppose -30*r = -25*r - 10. Suppose 0 = r*q + 4*t + 120, -4*q - 256 = -2*t + 14. Is q greater than or equal to -67? True Let s be 78/(-13) - (-53 + 9). Is 49 > s? True Let c(q) = -q**3 + 8*q**2 + 2*q + 1. Let x be c(7). Suppose 3*v - g - x = g, -56 = -3*v + 4*g. Are v and 28 nonequal? True Let x be (-17894)/(-374) + (-18)/153. Is x not equal to 48? True Suppose 4*j + s = 10, 0 = 2*j - 0*j - 2*s. Let n(x) = x**3 - 58*x**2 - 38*x - 4918. Let y be n(60). Is y at least as big as j? True Suppose -449*k + 456*k = 434. Suppose i - 300 = -4*i. Are k and i unequal? True Let j = 33 - 33. Suppose j = 3*t - 5*y - 79, 4 = -t + 5*y + 17. Which is smaller: -2 or t? -2 Suppose -5*p + 15*l = 16*l + 3507, l = -2*p - 1404. Is p at most -703? False Let k be (-94)/28 + 2/4. Let p = k - -93/35. Suppose 3 = -2*u + 3*m, 5*m - 5 = -3*u + 2*u. Is u not equal to p? True Let h(m) = 2*m**3 - 32*m**2 - 33*m - 16. Suppose -16*u = -5*u - 187. Let n be h(u). Which is bigger: n or -2/545? n Let g = -1309 - -9231/7. Let m be (-348)/33*-1 - (-1920)/(-3520). Is g at least as big as m? False Let o = -1277 + 2008. Let s = 730 - o. Is s <= 28/31? True Let h(n
{ "pile_set_name": "DM Mathematics" }
(base 10) in base 4? 10012 What is -145 (base 9) in base 13? -95 Convert -22 (base 7) to base 6. -24 What is 61 (base 9) in base 2? 110111 -6 (base 11) to base 10 -6 What is 303 (base 4) in base 14? 39 What is 100 (base 8) in base 6? 144 What is -1202 (base 4) in base 16? -62 86 (base 13) to base 14 7c Convert be (base 16) to base 5. 1230 Convert -7 (base 12) to base 5. -12 Convert 122 (base 3) to base 12. 15 What is -70 (base 11) in base 3? -2212 What is 4 (base 8) in base 13? 4 2331 (base 5) to base 16 155 What is -10000100 (base 2) in base 9? -156 What is 2 (base 8) in base 4? 2 What is 0 (base 12) in base 8? 0 -1 (base 7) to base 12 -1 Convert -1 (base 10) to base 13. -1 Convert 0 (base 11) to base 6. 0 Convert -2 (base 12) to base 13. -2 -c (base 16) to base 7 -15 What is -521 (base 6) in base 15? -cd 1c9 (base 15) to base 13 25b What is 2 (base 16) in base 4? 2 Convert 11 (base 2) to base 4. 3 Convert 0 (base 5) to base 2. 0 Convert -2 (base 4) to base 5. -2 Convert -3 (base 9) to base 10. -3 Convert -34 (base 6) to base 9. -24 What is -32 (base 12) in base 15? -28 What is -2 (base 11) in base 2? -10 What is 31 (base 14) in base 8? 53 Convert -24 (base 7) to base 15. -13 What is -32 (base 6) in base 9? -22 -104 (base 5) to base 9 -32 Convert -39 (base 16) to base 9. -63 Convert -27 (base 14) to base 12. -2b Convert -160 (base 11) to base 5. -1222 What is -7 (base 13) in base 15? -7 Convert 10011 (base 2) to base 10. 19 Convert d (base 16) to base 11. 12 Convert 8 (base 10) to base 16. 8 Convert 133 (base 6) to base 11. 52 What is 202 (base 4) in base 13? 28 What is -1001 (base 2) in base 11? -9 -76 (base 10) to base 7 -136 What is -34 (base 15) in base 4? -301 -2 (base 5) to base 10 -2 Convert 100101 (base 2) to base 4. 211 What is 3 (base 15) in base 10? 3 251 (base 6) to base 8 147 -4 (base 7) to base 10 -4 54 (base 8) to base 9 48 Convert 100100 (base 2) to base 9. 40 Convert 34 (base 12) to base 9. 44 -10 (base 4) to base 14 -4 12 (base 9) to base 10 11 76 (base 8) to base 15 42 Convert 100 (base 7) to base 2. 110001 Convert -2 (base 4) to base 15. -2 2 (base 7) to base 15 2 -23 (base 16) to base 7 -50 -271 (base 9) to base 5 -1401 7c (base 13) to base 8 147 Convert -62 (base 13) to base 9. -88 4 (base 16) to base 5 4 What is -10101100 (base 2) in base 3? -20101 Convert -59 (base 10) to base 15. -3e Convert 11 (base 9) to base 7. 13 -40 (base 7) to base 10 -28 Convert -2b (base 13) to base 6. -101 What is 2 (base 7) in base 16? 2 1100 (base 2) to base 9 13 21 (base 3) to base 14 7 -66 (base 13) to base 16 -54 Convert 5 (base 7) to base 4. 11 2 (base 6) to base 16 2 Convert 4 (base 13) to base 10. 4 What is 31 (base 5) in base 15? 11 -1123 (base 5) to base 10 -163 What is 10 (base 3) in base 2? 11 What is -1202 (base 3) in base 7? -65 1 (base 7) to base 3 1 -8 (base 9) to base 15 -8 What is 62 (base 8) in base 14? 38 What is 0 (base 2) in base 13? 0 Convert -90 (base 13) to base 8. -165 What is -10b (base 14) in base 6? -543 Convert 1b (base 13) to base 10. 24 -13 (base 6) to base 12 -9 What is 14 (base 8) in base 7? 15 Convert -2 (base 7) to base 11. -2 What is 0 (base 14) in base 15? 0 9 (base 16) to base 9 10 What is 4 (base 6) in base 7? 4 What is 13 (base 6) in base 11? 9 -21 (base 3) to base 2 -111 14 (base 13) to base 16 11 Convert -1 (base 7) to base 15. -1 9 (base 12) to base 15 9 -3 (base 11) to base 3 -10 Convert -1c (base 14) to base 10. -26 Convert -13 (base 4) to base 12. -7 Convert -2 (base 7) to base 10. -2 Convert 8a (base 14) to base 12. a2 What is -4 (base 16) in base 14? -4 Convert 11011 (base 2) to base 5. 102 Convert 32 (base 4) to base 5. 24 What is f (base 16) in base 10? 15 What is -311 (base 4) in base 7? -104 13 (base 4) to base 9 7 -2 (base 10) to base 5 -2 Convert -52 (base 15) to base 3. -2212 -130 (base 6) to base 14 -3c What is -5 (base 10) in base 6? -5 Convert 54 (base 15) to base 11. 72 What is -4b (base 15) in base 5? -241 -301 (base 7) to base 10 -148 What is -48 (base 13) in base 4? -330 What is 3 (base 7) in base 3? 10 -19 (base 12) to base 13 -18 What is 1 (base 12) in base 5? 1 Convert 6 (base 12) to base 7. 6 -8 (base 16) to base 14 -8 What is 21 (base 4) in base 11? 9 What is 14 (base 12) in base 7? 22 -110 (base 3) to base 12 -10 What is 4f (base 16) in base 15? 54 What is 1 (base 5) in base 7? 1 Convert 26 (base 12) to base 13. 24 What is 63 (base 10) in base 15? 43 Convert -24 (base 14) to base 12. -28 Convert -42 (base 12) to base 3. -1212 What is 14 (base 11) in base 4? 33 -4 (base 6) to base 10 -4 What is 1113 (base 4) in base 7? 153 Convert 13 (base 9) to base 10. 12 Convert -1110011 (base 2) to base 15. -7a 20 (base 4) to base 16 8 Convert 166 (base 7) to base 9. 117 50 (base 11) to base 14 3d -2 (base 12) to base 5 -2 What is 243 (base 8) in base 6? 431 Convert 4 (base 14) to base 5. 4 -d2 (base 14) to base 8 -270
{ "pile_set_name": "DM Mathematics" }
e Is 293 a factor of 34913? False Is 10 a factor of 108504500? True Does 154 divide 77891826? False Does 96 divide 11935296? True Is 373153255 even? False Does 6 divide 34399410? True Is 46293721 a multiple of 1360? False Does 97 divide 3842334945? False Is 1280123621 a multiple of 451? False Does 16 divide 192732099? False Does 37 divide 1231976515? False Does 92 divide 203389460? True Is 1128872592 a multiple of 743? True Is 568919569 a multiple of 17? True Is 1416 a factor of 1756832616? True Does 55 divide 3221735? True Is 2942 a factor of 53042249? False Is 11081395 a multiple of 13? True Is 68921110 a multiple of 732? False Does 10 divide 19123637? False Is 219 a factor of 54615964? False Is 103 a factor of 2298528014? False Does 514 divide 1033326068? True Is 7 a factor of 25686255? True Does 3885 divide 114723912? False Does 31 divide 85118465? False Is 643 a factor of 9915060? True Does 82 divide 462511488? True Is 3534852607 a multiple of 149? True Does 1724 divide 43836034? False Is 45157224 a multiple of 588? True Is 234107092 a multiple of 404? True Does 4 divide 284956405? False Does 6 divide 14600823? False Is 58 a factor of 353113837? False Does 8 divide 447783541? False Does 31 divide 191046125? False Is 159 a factor of 237098097? True Is 144 a factor of 13524768? True Does 522 divide 681575194? False Does 161 divide 200356128? True Does 680 divide 120900600? True Does 52 divide 264137172? True Does 44 divide 436625853? False Is 30448035 a multiple of 56? False Is 128748360 a multiple of 780? True Is 579 a factor of 5278164? True Does 10 divide 50674550? True Is 10688232 a multiple of 50? False Is 140 a factor of 821056855? False Is 23741693 a multiple of 13? False Is 188735778 a multiple of 38? True Does 5 divide 666210665? True Does 37 divide 431015538? False Does 3 divide 57426? True Is 1814 a factor of 264283474? True Is 12 a factor of 453862449? False Does 14 divide 14552314? True Is 29 a factor of 9369393? False Is 62906564 a multiple of 14? True Is 1534 a factor of 85732192? True Is 100 a factor of 2584400? True Is 647 a factor of 682019287? False Is 2663 a factor of 10060814? True Is 3 a factor of 65389371? True Does 11 divide 1020680696? False Is 182846028 a multiple of 49? False Is 49 a factor of 196417858? False Does 2984 divide 148628088? False Is 4829932989 a multiple of 43? True Does 12 divide 745605156? True Is 60852775 a multiple of 425? True Does 1522 divide 164977190? True Is 10910474 a multiple of 63? False Is 161503100 a multiple of 1100? True Is 30 a factor of 14312511? False Does 43 divide 42460472? False Does 50 divide 8629383450? True Does 1182 divide 15631015? False Is 29 a factor of 783469481? True Is 289678644 a multiple of 12? True Is 439 a factor of 2265892354? True Is 2 a factor of 146731239? False Is 11 a factor of 1410561178? False Does 29 divide 742351976? True Is 14 a factor of 26974452? False Does 138 divide 161008464? True Is 1135 a factor of 23860700? False Does 1488 divide 69351818? False Is 26 a factor of 47268936? True Is 32338717 a multiple of 107? True Is 2509 a factor of 151142160? True Does 263 divide 3453716? True Is 373 a factor of 5803765? False Is 576786781 a multiple of 19? True Does 5 divide 18100759? False Does 178 divide 103175840? False Is 528205624 a multiple of 7? False Is 857 a factor of 404652261? True Is 45230163 a multiple of 33? True Is 892739700 a multiple of 15? True Is 201701351 a multiple of 1040? False Is 956 a factor of 624849248? True Is 82 a factor of 475402817? False Does 482 divide 141009100? True Does 388 divide 1126646358? False Is 200 a factor of 224854071? False Is 271323504 a multiple of 2218? True Does 1071 divide 244887363? True Is 114 a factor of 33462534? True Is 11 a factor of 383709271? True Is 16 a factor of 409041908? False Does 172 divide 17377969? False Does 140 divide 300780900? True Does 55 divide 118991819? False Does 127 divide 5778322835? True Does 111 divide 55643745? True Does 5 divide 250169? False Does 5948 divide 2224400825? False Is 6 a factor of 25990772? False Does 3512 divide 173213974? False Is 572365582 a multiple of 43? False Is 10644369 a multiple of 45? False Is 24 a factor of 25431888? True Does 1140 divide 8060940? True Is 2919 a factor of 4008146037? True Is 175 a factor of 3232322282? False Is 170 a factor of 1516209887? False Is 1093017552 a multiple of 7554? False Is 1218 a factor of 232253538? False Is 480284060 a multiple of 16? False Does 34 divide 27626020? True Does 83 divide 174460937? True Is 11262309 a multiple of 11? False Is 3875 a factor of 18894539? False Does 13 divide 4124107? True Is 126 a factor of 356501754? True Is 32 a factor of 5955876544? True Does 781 divide 26574696? False Is 665788934 a multiple of 47? True Does 30 divide 40248390? True Is 23 a factor of 3607918? True Does 39 divide 1250413086? True Does 6 divide 1566006? True Is 24 a factor of 126063648? True Does 15 divide 2885015419? False Is 182728838 a multiple of 1318? True Is 426 a factor of 238196196? True Is 456 a factor of 173816712? True Is 32249240 a multiple of 2? True Does 4 divide 538303836? True Is 2990 a factor of 1980306051? False Is 14 a factor of 1094619? False Is 16089876 a multiple of 132? True Does 4 divide 56218364? True Is 10 a factor of 247385460? True Is 9 a factor of 193761351? True Is 212 a factor of 342919540? True Is 5 a factor of 1193747920? True Does 1551 divide 127216122? True Is 5068 a factor of 459062315? False Is 443102490 a multiple of 494? False Is 68550821 a multiple of 196? False Is 3962 a factor of 575670676? True Is 177 a factor of 316087151? False Does 700 divide 327795502? False Is 14 a factor of 25501341? False Is 1255 a factor of 11235187? False Is 6 a factor of 76477722? True
{ "pile_set_name": "DM Mathematics" }
+ k, 35 = 2*n + 3*n + 5*k. Let x be 27960/72 + n/(-6). Suppose t - 3*w = x, -3*t - 5*w + 1125 = -w. Is t a composite number? False Suppose 0 = 6*r - 45 - 27. Suppose 0 = -w - r + 12. Suppose 4*p - 1172 = -w*p. Is p composite? False Is (4445807/(-355))/((-2)/(-20)*-2) prime? True Let o = -1174432 - -2063985. Is o composite? True Let k(p) = -p**3 + 100*p**2 - 104*p - 555. Is k(98) a composite number? False Suppose -85*m + 2*j - 468 = -87*m, j - 939 = -4*m. Is m a prime number? False Let f be (-20)/(-6)*(-1 - -13)/1. Suppose 3*s = 5*r - f, 0 = -7*s + 5*s. Is (r/2 - 5)/((-1)/58) a composite number? True Let f(k) = -3*k**2 + 15*k - 8. Let j be f(4). Suppose -6*w + 2*w + 65792 = -j*s, -4*s = 4. Is w a prime number? True Let w = 972 - -70. Let o = w + -663. Suppose 4*b - o = 5089. Is b prime? True Let d(y) = -y**3 + y**2 - y + 1. Let t(l) = -4209*l**3 - l**2 + 2*l - 3. Let q(o) = 2*d(o) + t(o). Is q(-1) prime? True Suppose 10*b - 16013 = 34017. Is b a composite number? False Let y = 209101 - -877662. Is y composite? False Let h = 30 + -60. Let r be 12/h + 88/20. Suppose r*u = -2*u + 9210. Is u a composite number? True Suppose -18 - 18 = -6*q. Let s be (159/q)/(1/10). Suppose -s = -9*n + 4*n. Is n prime? True Suppose -2*y + 32050 = -89230. Suppose -y = -14*s - 17646. Is s prime? False Let i be 5469/9*2/(-2)*-3. Let p = 3166 - i. Is p composite? True Let r = 842736 - 359573. Is r a composite number? False Suppose -4*h - q - q + 13526 = 0, 2*q = 6. Suppose -b - h = -14093. Suppose 8*t - b = -4337. Is t composite? False Let n(z) = -519*z**3 + 25*z**2 + 150*z - 1. Is n(-6) a composite number? False Suppose -29*x + 33*x + 292410 = 2*k, -3*k + 438643 = x. Is k a prime number? True Let n = 833 + -816. Suppose -11*u = n*u - 180572. Is u prime? True Suppose -a + 27653 = 3*g, -31*a + 32*a - 3*g = 27665. Is a a composite number? True Let b(p) = -p - 7. Let r be b(-8). Let g be ((-6)/(-2) + (-100 - 6))*r. Let v = 297 + g. Is v composite? True Let r(w) = -w**3 + 14*w**2 + 6*w + 4. Let x(b) = -39*b. Let m be x(-1). Let i = -26 + m. Is r(i) composite? False Is (33/(-22) - -2)*24106 a composite number? True Let p be 10*(-10)/(-30)*(-6)/(-5). Let j(r) be the second derivative of 197*r**3/6 + 21*r**2/2 - 5*r. Is j(p) a prime number? True Let k = -4117 - -2601. Let q = 3155 + k. Is q a prime number? False Let r(z) = 7*z + 877. Let t be 1*(-4 + 4)/5. Is r(t) a prime number? True Suppose -32*p + 343556 = -20*p - 1986736. Is p a prime number? False Suppose -3*b = 9, 10*b - 15*b = -2*f + 402545. Is f a composite number? True Suppose 86*m - 1449417 - 1282545 = 0. Is m a composite number? True Suppose -21 = 3*p - w - 3*w, 2*p = 5*w - 21. Let z be ((-2)/(-1))/(p*10/(-221955)). Suppose -4*a + 3*j = -z, -4*a - 4*j - j = -14773. Is a prime? True Suppose -245 + 2 = 9*c. Let t(l) = -513*l + 292. Is t(c) a composite number? False Let q be 3*(-5 + (-50)/(-15)). Let z(m) = -543*m**2 - 15*m. Let n(j) = -271*j**2 - 8*j - 1. Let s(v) = q*z(v) + 9*n(v). Is s(2) a prime number? False Suppose 9 = -2*q + 2*v + 1, -4*q = -v + 4. Let i(y) = q - 8 - 6 + 19 + 123*y. Is i(2) a composite number? False Is (-257)/3341 - 24315/78*(-396)/5 prime? False Suppose -53 = -5*r + 87. Let l = r - 31. Is (-2 - -1 - -2)*(l + 82) composite? False Let x be 14/(-175) - 2/(-25). Suppose x = f - 10282 + 2013. Is f composite? False Suppose 36 = 4*v + 2*l, 0 = -5*v + 2*l + 14 + 13. Let w = v - 12. Is 0 + (-170 + 3)*w a composite number? True Suppose -383*n - 575102 = -405*n. Is n composite? False Is (5 + 0)*4295 + (6 - 0) a composite number? False Let k = 37 + -1. Let w = 329 - k. Suppose 834 = 4*i + g, i - w + 74 = 5*g. Is i a composite number? True Let b(w) = -3*w - 10 + 46 + 5*w - 4*w. Let q be b(16). Is -4 + (-3 + q - -854) composite? True Is (-16418590)/(-130) + 1 + (-4)/78*-3 composite? True Suppose -4*p = -4, -5*p + 184 = -2*l + 21. Let y = -68 - l. Suppose 118 = y*m - 9*m. Is m composite? False Suppose 0 = 16*u - 19*u + 6. Suppose u*v = 4*d - 32280, -4*d - 24209 = -7*d + 2*v. Is d a composite number? True Suppose 2*x = -o - 650819 + 2537096, -2*x + 1886262 = 4*o. Is x prime? False Suppose -v - 42472 = -4*b - 657551, 6*v - 3690399 = -b. Is v prime? True Let t(k) = -k - 3*k - 779 + 15*k**2 - 14*k**2. Let d be t(0). Let z = d + 7662. Is z composite? False Let w = 112507 + -73840. Is 11/99*3*w*1 composite? False Let x(c) = c**2 + 2*c - 11. Let l be x(-5). Suppose 2*j - 8880 = -3*j. Suppose -4*h + j = -a - a, -l*h = -a - 1774. Is h composite? False Let l(c) = c**2 - 6*c + 1. Let h be l(2). Is (2/h + 513516/84)/1 composite? False Let u(z) = 21
{ "pile_set_name": "DM Mathematics" }
*r - 486. Calculate the highest common factor of r and 6. 6 Let b be (-18)/4*(-112)/6. Suppose 6*s = 4*s + 42. Calculate the greatest common divisor of b and s. 21 Let z(j) = j**3 - 11*j**2 - 26*j + 2. Let b be z(13). Let n(f) = -4*f**3 - 2*f - 1. Let a be n(-1). Calculate the highest common divisor of b and a. 1 Let q be (-160)/(-25) - 2/5. Let t(v) = 0*v**2 + 8 - 3*v + 4*v**2 + v**3 - q. Let m be t(-4). Calculate the highest common divisor of m and 98. 14 Suppose 5*j - 20 + 80 = 0. Let o(d) = d**2 + 13*d + 11. Let v be o(j). Let g be (89 - 2/v)/1. What is the highest common factor of 13 and g? 13 Let k(i) = 3*i + 17. Let u be k(-10). Let x = 73 + u. What is the highest common divisor of 15 and x? 15 Suppose j + 10 - 101 = 0. What is the highest common factor of 13 and j? 13 Let n be (-18)/(-12)*22/3. What is the greatest common factor of n and 66? 11 Let n(x) be the third derivative of -x**4/12 - 4*x**3/3 - 2*x**2. Suppose q = -0 - 6. Let h be n(q). What is the highest common divisor of h and 28? 4 Let c(t) = t**3 + 6*t**2 + 4*t - 3. Let n be c(-5). What is the greatest common divisor of 6 and n? 2 Let g(t) = t**2 - 2*t - 1. Let b be g(-3). Calculate the highest common divisor of b and 21. 7 Let a(y) = -y**3 + 10*y**2 + y - 4. Let i be a(10). Let o = -1 + 7. What is the highest common factor of i and o? 6 Suppose 7*h = 3*h + 16. Suppose 4*j = 25 + 11. Let t(z) = -z + 15. Let v be t(j). Calculate the greatest common divisor of v and h. 2 Let p = 21 - 13. Let r(t) = -3*t + 7*t - 12 + 1. Let m be r(p). What is the highest common factor of m and 14? 7 Let t = -15 - -26. What is the highest common factor of 33 and t? 11 Suppose -5*o + 5 = -60. What is the highest common divisor of o and 13? 13 Let x = 17 + -13. Suppose 0*p + 164 = 4*r - x*p, 0 = -4*r - p + 154. What is the greatest common divisor of r and 26? 13 Suppose 7*i = 10*i + 33. Let v = i + 15. Calculate the greatest common factor of 40 and v. 4 Let v = 5 - 2. Let k be v/(-6)*-14 + -1. Suppose 4*c = -5*y + 43, -2*y - 3*c + k = -14. What is the highest common divisor of y and 63? 7 Suppose -5*c + 88 + 102 = 0. Suppose 131 = 5*g + n, 2*g - 4*n = 4*g - c. Let h be (7/4 + -1)*4. What is the greatest common factor of h and g? 3 Suppose 2*l = -3*l - 3*p + 120, 72 = 3*l + 2*p. What is the greatest common factor of l and 72? 24 Let c be (-1)/((-1)/33*3). Calculate the highest common divisor of c and 33. 11 Let g = -47 + 27. Let b = 38 + g. Let z be 1 + 52 - (3 + -4). What is the greatest common divisor of z and b? 18 Suppose -n - 5*b = 2 - 9, 5*b - 13 = -4*n. Suppose 4*m - 77 = -q, m + n*q = -4*m + 97. Calculate the highest common divisor of m and 209. 19 Let w(q) = q**2 + 3*q - 3. Let c be w(-6). Suppose -a + 12 = 7. What is the greatest common divisor of a and c? 5 Suppose -4*w - 14 = t, 4*t = -w - 60 - 41. Let p be t*(-1 + 0)*1. What is the greatest common divisor of p and 13? 13 Let o = 5 - 2. Suppose -2*b - 9 = -x + 3, 3*x - 24 = o*b. Suppose x*t = 93 - 21. Calculate the highest common divisor of 6 and t. 6 Let p be (0 + 38)*(-7)/(-2). Let b(x) = 2*x**2 + 2*x - 5. Let j be b(-4). What is the highest common factor of p and j? 19 Suppose -n + 106 = n - o, 3*n + 3*o = 159. Calculate the greatest common factor of 212 and n. 53 Let t(v) = v**3 - 11*v**2 + 5*v + 2. Let f be t(6). Suppose 3*z + 388 = -z. Let x = z - f. What is the greatest common factor of x and 17? 17 Suppose 4*o - 5*o - 415 = -5*k, 2*k - 2*o - 158 = 0. Suppose -4*p + 0*p = -m + 48, -5*m = -3*p - 155. Calculate the highest common factor of k and m. 28 Let g = -18 - -29. Suppose -5*s = -49 - g. Calculate the highest common divisor of 108 and s. 12 Suppose -4*t = 43 - 171. Calculate the greatest common factor of 16 and t. 16 Let s = -13 + 34. Calculate the greatest common factor of 147 and s. 21 Let l(q) = -q**3 + 7*q**2 + 5*q + 13. Let m be l(7). What is the greatest common factor of 16 and m? 16 Let o be (-3 - -2) + 92/2. Suppose 0*p = -3*p + o. Let u(a) = a + 2. Let m be u(3). Calculate the greatest common factor of m and p. 5 Let m = -12 + 21. Suppose -m*p = -10*p + 40. Calculate the highest common factor of 60 and p. 20 Let w(n) = -n**2 - 5*n + 6. Let a be w(-6). Suppose 0 = 5*i - 2*d - 90, -4*i + 2*d + a*d + 72 = 0. Calculate the highest common factor of 9 and i. 9 Let h be ((-300)/16)/(10/(-8) + 1). Let p(i) = 3*i**2 - i. Let b be p(-3). Calculate the greatest common divisor of h and b. 15 Suppose -5*y - 600 = -10*y. Let z = 11 - -4. What is the highest common divisor of z and y? 15 Let p(i) = -i**3 - 3*i**2 + i + 3. Let m be p(3). Let x = m + 80. What is the highest common factor of 8 and x? 8 Let r = 43 + -23. Calculate the greatest common divisor of r and 30. 10 Let a = 13 - 15. Let i(k) = -10*k - 5. Let v be i(a). Calculate the highest common factor of v and 45. 15 Let x(c) = 20*c**2 - 7*c + 5. Suppose 14 = 5*j - 6. Let n be x(j). What is the highest common factor of n and 27? 27 Let x = -18 - -54. What is the greatest common factor of x and 90? 18 Let s be 27 + -7 + (0 - 2)*1. What is the greatest common factor of 9 and s? 9 Suppose 0 = -2*w - 0*x - 4*x + 8, x - 17 = -2*w. Let m = w - 15. Let o be 81 + 2 + m + 2. Calculate the greatest common factor of 10 and o. 10 Let j(d) = -6*d**2 + 4*d - 2. Let b be j(2). Let v
{ "pile_set_name": "DM Mathematics" }
= 35 + -29. Let j be 111/12 + i/8. What is the units digit of 4/j*840/4? 4 Suppose 0 = -x, 0 = -3*s - 6*x + 7*x - 279. Let i = s - -1281. What is the thousands digit of i? 1 Let g(n) = 80*n - 19. Let s be g(2). Let h = s + 189. What is the units digit of h? 0 Let o = -13479 - -25302. What is the tens digit of o? 2 Suppose 0 = 18*i - 5*i. Let y be (-1 - i)/(((-2)/(-622))/(-1)). Suppose 5*o - 214 - y = 0. What is the units digit of o? 5 Let b be 5 + ((-7277)/(-38))/((-2)/(-4)). Let t = b + -313. What is the tens digit of t? 7 Let k(q) = -2*q + 4. Suppose 4*z - 5*v = 124, 0 = 3*z + v - 55 - 19. Suppose -10*a = 4 + z. What is the tens digit of k(a)? 1 Let y = -138 - -141. Suppose 0 = y*a - 12, -a + 314 = 3*x - 5*a. What is the units digit of x? 0 What is the ten thousands digit of ((-4)/(-4) + -2)/(17/(-389657))? 2 Suppose r + 2*r - 3*f = 12, -3*r + 5*f = -22. Let g be (r - -17)/(30/(-9) - -4). Suppose -28*s = -g*s - 304. What is the tens digit of s? 7 Let g(a) = -24434*a - 441. What is the units digit of g(-1)? 3 Let z(q) = 4*q**2 + 113*q + 136. What is the hundreds digit of z(38)? 2 Let g(y) = 11*y - 28. Let a be g(3). Suppose -3*h = -4*k + 431, -a*k - h + 22 + 512 = 0. What is the units digit of k? 7 Let u(n) = 3368*n**2 - 20*n + 30. What is the ten thousands digit of u(2)? 1 Let c be (-1 - 3)/((-32)/3792). Suppose -6*z + 84 + c = 0. Let d = z + 100. What is the tens digit of d? 9 Let a(x) = -202*x + 9. Suppose 0 = 7*l + 56 - 28. What is the tens digit of a(l)? 1 Let s(y) be the second derivative of y**4/12 - 5*y**3/2 + 17*y**2/2 - 3*y. Let b be s(14). Suppose b*r - 595 = -r - g, g = -5. What is the hundreds digit of r? 1 Suppose 287*r = 280*r + 49. Suppose r*z = -479 + 3972. What is the units digit of z? 9 Let p(t) = -5*t - 5 + 12*t + 10 - 8*t. Let z be p(3). Suppose 0 = -h - 2*h, 0 = -5*a + z*h + 250. What is the units digit of a? 0 Let u be (-4)/3*1/((-4)/444). What is the tens digit of u*6/4 + 1? 2 Let f(z) = 2*z**2 + 10*z - 9. Let y be f(3). Suppose -y*p = -631 - 71. What is the tens digit of p? 1 Suppose 9*d - 62 = -17. Suppose 3*h - 891 = -2*i, 0 = d*i - 18 + 3. What is the tens digit of h? 9 Suppose 4893 + 4303 = -22*h. Let i = h - -647. What is the tens digit of i? 2 Suppose -4*m = 776*p - 775*p - 82441, p = 1. What is the ten thousands digit of m? 2 Let q(d) = 18109*d**3 + 13*d - 14. What is the units digit of q(1)? 8 Let i be (-11231)/(-22) + 6/(-12). Let z = -337 + 630. Let g = i - z. What is the tens digit of g? 1 Suppose -11*d + 50621 = 12539. What is the thousands digit of (d/4)/((-12)/(-24))? 1 Let z(j) be the first derivative of -19*j**2/2 + 108*j - 54. What is the hundreds digit of z(-21)? 5 Let b = 1683 - -879. What is the tens digit of b? 6 Suppose 30*x - 770 = -25*x. Let d(i) = -i**3 + 15*i**2 - 14*i + 29. What is the units digit of d(x)? 9 What is the tens digit of (-3)/((-171)/(-6)) + (-9787514)/(-418)? 1 Let h = 52734 - 41470. What is the units digit of h? 4 Suppose -5*y = -2*l - 153, -3*y - 2*l + 3*l + 91 = 0. Suppose 3 = -3*w, 5*j - 2*w - 86 = -y. Let a = 71 - j. What is the units digit of a? 0 Suppose -185 = -5*x - 0*x. Suppose -d + x = -7. Let c = 54 - d. What is the units digit of c? 0 Let s(l) = -1716*l**3 - 7*l**2 + 4. What is the thousands digit of s(-2)? 3 Let m = 29234 - 10572. What is the hundreds digit of m? 6 Let b = -2971 - -3454. What is the hundreds digit of b? 4 Let o = -63 - -49. Let q = 16 - o. Suppose -29*i = -q*i + 149. What is the hundreds digit of i? 1 Let i(z) = 7*z**2 - 12*z - 11. Let t be i(9). Suppose 4*g - 6 = 3*g. Suppose 0 = g*a + a - t. What is the units digit of a? 4 Suppose -l + 22384 = -5*w, 7*l - 2*w = 11*l - 89668. What is the ten thousands digit of l? 2 What is the tens digit of (-649362)/(-49) + 12/(-42)? 5 Let s(t) = t**3 - 4*t**2 + 5*t - 4. Let x be s(2). What is the hundreds digit of 6/(24/1076)*1 + x? 2 Let x(h) = h**2 - 12*h - 41. Let r be x(17). Suppose -r*f + 224 = -40*f. What is the tens digit of f? 5 Let j(c) = 34*c - 74. Let i be j(6). What is the tens digit of i - -2 - (-140)/28? 3 Let t = -224 + 211. Let q(x) = -x**3 - 13*x**2 - 6*x + 27. What is the units digit of q(t)? 5 Suppose n = -0*n - 5*g + 19844, 2*n - 2*g - 39688 = 0. What is the thousands digit of n? 9 Let p(q) = 21 + 2*q**3 - 1 - 3*q**3 - 14*q**2 - 9*q + 5. What is the units digit of p(-15)? 5 Suppose 7*m - 52277 = -40007 + 60530. What is the units digit of m? 0 Suppose 2*v = -6*v. Suppose v*l - 732 = -3*l. Suppose 0 = 15*t - 17*t + l. What is the hundreds digit of t? 1 Let r(b) = -b**3 + 5*b**2 + 6*b + 5. Let y(t) = t**3 + 9*t**2 + 6. Let q be y(-9). Let k be r(q). What is the units digit of k + (-5)/1 - 140/(-2)? 0 Let v be -2*(6453/(-9) - -7). Suppose -3*a - v = -2*f, 8*a - 710 = -f + 11*a. What is the units
{ "pile_set_name": "DM Mathematics" }
-4*u**3 + 7*u**2 - 7*u - 3. Determine d(2). -21 Let j(v) = v**2 - 39*v - 178. Determine j(44). 42 Let k(b) = -110*b + 1676. What is k(15)? 26 Let a(n) = -5*n**2 + 229*n + 514. Determine a(48). -14 Let s(o) = o**2 + 106*o + 2748. What is s(-43)? 39 Let v(s) = 3*s**2 - 145*s + 21. Give v(48). -27 Let i(p) = -14*p + 63. Give i(10). -77 Let n(g) = -14362*g + 28731. What is n(2)? 7 Let n(l) = -3*l**3 - 3*l**2 + 130*l + 502. Determine n(-4). 126 Let k(o) = -1263*o + 26511. Calculate k(21). -12 Let b(j) = j**2 + 8*j - 314. Determine b(12). -74 Let m(l) = 96*l - 1507. Calculate m(15). -67 Let w(r) = -6*r**3 - 4*r**2 - 16*r - 10. Give w(-3). 164 Let z(t) = -3*t**2 - 193*t - 1160. Calculate z(-6). -110 Let w(x) = x**2 - 100*x + 200. What is w(96)? -184 Let u(r) = -2*r**2 + 62*r - 488. Calculate u(17). -12 Let c(a) = a - 121. Give c(19). -102 Let y(l) = 238*l + 21660. Calculate y(-91). 2 Let k(a) = 2*a**3 - 55*a**2 - 29*a - 1. Calculate k(28). -29 Let x(l) = -l**2 - 35*l + 40. What is x(-34)? 74 Let q(b) = 55*b - 3912. Give q(71). -7 Let s(h) = 102*h**3 - 4*h**2 + 6*h - 3. What is s(1)? 101 Let t(a) = a**3 + 10*a**2 - 9*a + 17. Calculate t(-12). -163 Let f(j) = 2*j**3 - 27*j**2 - 124*j + 1547. What is f(14)? 7 Let q(n) = -n**3 + 32*n**2 + 382*n - 561. Give q(41). -28 Let v(h) = 55*h - 96. Calculate v(2). 14 Let b(o) = -2*o**2 - 316*o - 3794. Determine b(-13). -24 Let x(n) = 34*n - 499. Determine x(11). -125 Let v(p) = 418*p**2 + 4179*p - 17. Determine v(-10). -7 Let t(b) = -70*b - 192. Determine t(-3). 18 Let f(a) = a**3 - 48*a**2 - 208*a + 8. Calculate f(52). 8 Let f(l) = l**3 + 104*l**2 + 2671*l - 1446. Give f(-50). 4 Let g(u) = 17*u**3 + 341*u**2 + 23*u + 51. Calculate g(-20). -9 Let d(p) = p**2 - 491*p + 30851. Determine d(74). -7 Let h(i) = -957*i + 8615. What is h(9)? 2 Let k(x) = 989*x + 10844. Determine k(-11). -35 Let l(z) = -3*z - 315. What is l(-16)? -267 Let g(l) = -2*l**3 - 252*l**2 - 739*l - 140. What is g(-123)? -17 Let l(w) = -10*w + 162. What is l(17)? -8 Let j(d) = -162*d - 6253. Calculate j(-39). 65 Let p(c) = 2*c**2 - 104*c + 957. Give p(40). -3 Let z(f) = 11*f**2 + 203*f + 172. Give z(-21). 760 Let n(i) = i**3 - 3*i**2 + i - 29. Calculate n(0). -29 Let p(a) = 170*a - 1698. What is p(10)? 2 Let v(q) = -28*q + 103. Give v(3). 19 Let b(l) = -4*l**3 + 7*l**2 + 26*l - 6. What is b(6)? -462 Let o(b) = -b**3 + 3*b**2 - 44*b + 140. Give o(3). 8 Let d(y) = 81*y + 910. Give d(-12). -62 Let g(l) = -911*l + 18228. Give g(20). 8 Let v(a) = -206*a + 34437. Determine v(167). 35 Let i(y) = -2*y**3 + 9*y**2 + 8*y + 22. Give i(5). 37 Let c(d) = -2*d**2 - 142*d + 1693. Give c(11). -111 Let u(r) = 2*r**3 + 11*r**2 + 24*r + 69. What is u(-6)? -111 Let q(r) = -8*r**3 + 2*r**2 + r - 6. Calculate q(-2). 64 Let a(z) = -5*z**3 + 79*z**2 + 11*z + 87. Calculate a(16). 7 Let o(r) = -2*r**3 - 2*r**2 - 36*r - 4. Determine o(0). -4 Let g(z) = -3*z**2 + 215*z + 752. Give g(75). 2 Let v(l) = l**3 - 14*l**2 - 18*l - 69. What is v(16)? 155 Let u(b) = 16*b**2 - 878*b - 115. Determine u(55). -5 Let x(q) = -6*q**3 + 648*q**2 + 652*q + 219. Give x(109). 1 Let t(o) = -o**3 + 43*o**2 - 454*o - 128. Give t(23). 10 Let r(z) = 15*z - 924. Determine r(61). -9 Let w(k) = 1771*k + 178871. Give w(-101). 0 Let u(i) = 75*i + 4987. Determine u(-66). 37 Let w(d) = -240*d + 389. Calculate w(2). -91 Let g(i) = -i**3 + 12*i**2 + 98*i - 1182. Give g(10). -2 Let m(b) = 4*b - 382. What is m(101)? 22 Let t(f) = 21*f**2 + 262*f - 135. Determine t(-13). 8 Let c(p) = -p**2 - 25*p + 122. Determine c(5). -28 Let r(c) = 27*c + 390. Determine r(-13). 39 Let y(t) = t**2 - 98*t - 640. Determine y(-6). -16 Let m(y) = -578*y**2 + 4033*y + 94. Give m(7). 3 Let j(n) = 471*n + 1893. Give j(-4). 9 Let k(z) = -744*z + 6715. Determine k(9). 19 Let p(y) = -12*y**2 - 25*y + 285. Give p(-6). 3 Let a(s) = s**3 - 19*s**2 - 6*s + 679. Calculate a(17). -1 Let s(h) = 1922*h - 5769.
{ "pile_set_name": "DM Mathematics" }
litre? 2600 How many nanograms are there in one tenth of a microgram? 100 How many kilograms are there in 62994.15mg? 0.06299415 What is one fifth of a litre in millilitres? 200 What is 9808.055 nanograms in micrograms? 9.808055 What is 6/5 of a millimeter in micrometers? 1200 What is 1904.526 hours in seconds? 6856293.6 Convert 0.4762545 decades to years. 4.762545 What is thirteen fifths of a millisecond in microseconds? 2600 Convert 1627407.9 minutes to hours. 27123.465 Convert 25.30432 decades to months. 3036.5184 Convert 2829.705 minutes to microseconds. 169782300000 How many milliseconds are there in 1/10 of a minute? 6000 What is 1/30 of a day in seconds? 2880 Convert 25332.01 centuries to millennia. 2533.201 What is 1.7481099 months in decades? 0.0145675825 How many hours are there in four sevenths of a week? 96 What is 1/16 of a millennium in months? 750 How many centimeters are there in 1/10 of a kilometer? 10000 What is 4/3 of a minute in milliseconds? 80000 How many millilitres are there in seven halves of a litre? 3500 Convert 60226.29 weeks to seconds. 36424860192 What is 1/4 of a kilometer in meters? 250 What is 87389.32 nanograms in milligrams? 0.08738932 How many meters are there in fifteen quarters of a kilometer? 3750 What is sixty-four thirds of a week in hours? 3584 What is fourty-five halves of a meter in centimeters? 2250 How many millilitres are there in 330.14l? 330140 How many tonnes are there in 19.40412g? 0.00001940412 How many millilitres are there in thirty-seven fifths of a litre? 7400 What is 9.481719 millennia in years? 9481.719 How many meters are there in seven halves of a kilometer? 3500 Convert 617024.9 milligrams to nanograms. 617024900000 How many centimeters are there in 284.951 nanometers? 0.0000284951 How many months are there in fourty-three quarters of a century? 12900 What is one quarter of a microgram in nanograms? 250 What is 3/50 of a kilometer in centimeters? 6000 What is six fifths of a micrometer in nanometers? 1200 Convert 2388.813 kilograms to micrograms. 2388813000000 Convert 362.1385l to millilitres. 362138.5 What is seven halves of a kilometer in meters? 3500 What is 11/10 of a gram in milligrams? 1100 How many millilitres are there in 268.3098 litres? 268309.8 Convert 182636.958 hours to weeks. 1087.12475 What is thirteen fifths of a microgram in nanograms? 2600 What is thirteen quarters of a litre in millilitres? 3250 What is three eighths of a tonne in kilograms? 375 How many kilograms are there in 0.9364818mg? 0.0000009364818 Convert 0.5269403 millennia to years. 526.9403 What is 15/4 of a centimeter in micrometers? 37500 How many nanoseconds are there in twenty-nine fifths of a microsecond? 5800 What is 61/2 of a millennium in years? 30500 Convert 2937.021 kilometers to meters. 2937021 Convert 271310.34 months to millennia. 22.609195 What is 52.28953 tonnes in grams? 52289530 Convert 81.7058 decades to years. 817.058 How many nanograms are there in 18/5 of a microgram? 3600 Convert 3983.637 decades to years. 39836.37 Convert 0.0057126 days to minutes. 8.226144 What is 3/10 of a centimeter in micrometers? 3000 How many micrograms are there in 27/4 of a milligram? 6750 How many milligrams are there in 0.6935426 kilograms? 693542.6 What is 1/5 of a kilogram in grams? 200 Convert 677943.9 millilitres to litres. 677.9439 How many kilograms are there in 6/5 of a tonne? 1200 Convert 3.571471cm to millimeters. 35.71471 What is 11/4 of a minute in seconds? 165 How many millilitres are there in 11966.33 litres? 11966330 What is 3.986381 decades in centuries? 0.3986381 Convert 2803.9533 months to centuries. 2.33662775 What is 4857.749kg in nanograms? 4857749000000000 What is 718.544ug in kilograms? 0.000000718544 How many nanometers are there in 8.176849m? 8176849000 How many micrometers are there in 3.136615m? 3136615 How many millilitres are there in 27/5 of a litre? 5400 What is 77297.32 kilograms in milligrams? 77297320000 How many micrograms are there in 118.2258 tonnes? 118225800000000 How many millilitres are there in 59991.7 litres? 59991700 Convert 542667.4 days to hours. 13024017.6 What is 5.824592 millilitres in litres? 0.005824592 How many nanoseconds are there in 527123.3 weeks? 318804171840000000000 What is 3/8 of a micrometer in nanometers? 375 How many minutes are there in seventeen quarters of a hour? 255 How many milligrams are there in 3496.206g? 3496206 What is 653634.2 centuries in months? 784361040 What is 15/4 of a milligram in micrograms? 3750 What is one quarter of a litre in millilitres? 250 What is 204865.5ug in tonnes? 0.0000002048655 How many meters are there in 7.208275 micrometers? 0.000007208275 What is 0.4477634 millennia in years? 447.7634 How many microseconds are there in 701.1883 minutes? 42071298000 Convert 338426.55ms to hours. 0.094007375 What is ten thirds of a week in minutes? 33600 What is three tenths of a microgram in nanograms? 300 How many weeks are there in 1993.98402 seconds? 0.00329693125 How many centimeters are there in 6/25 of a meter? 24 How many years are there in 3/10 of a millennium? 300 How many micrograms are there in 13/8 of a milligram? 1625 How many seconds are there in 43.08859 weeks? 26059979.232 What is thirty-three fifths of a millennium in years? 6600 How many kilograms are there in 29/2 of a tonne? 14500 What is 379952.5 centimeters in millimeters? 3799525 How many milliseconds are there in 871.3011 nanoseconds? 0.0008713011 What is three tenths of a litre in millilitres? 300 Convert 202.5788l to millilitres. 202578.8 What is one quarter of a millennium in years? 250 Convert 97.42479mg to tonnes. 0.00000009742479 What is 65694.14m in micrometers? 65694140000 Convert 0.0807359 minutes to milliseconds. 4844.154 How many minutes are there in seven halves of a hour? 210 How many grams are there in 0.6631999kg? 663.1999 What is 27/5 of a kilometer in meters? 5400 What is 3/10 of a hour in minutes? 18 How many centimeters are there in 8384.325 meters? 838432.5 What is eleven quarters of a millimeter in micrometers? 2750 How many years are there in six fifths of a decade? 12 How many months are there in 7.132522 years? 85.590264 Convert 52.67639mg to micrograms. 52676.39 How many millimeters are there in 37/5 of a centimeter? 74 Convert 98.39164 litres to millilitres. 98391.64 What is one twentieth of a milligram in micrograms? 50 What is 5/4 of a litre in millilitres? 1250
{ "pile_set_name": "DM Mathematics" }
derivative of -g**5/3 + g**4/12 - 5*g**3 + 27. Let w(f) be the third derivative of z(f). Determine h(w(o)). 1600*o**2 - 160*o + 4 Suppose 0*q = -4*f + q + 12, -12 = 3*q. Let k(x) = -9*x**2 + x**2 + 2*x**2 + 0*x**f. Let v(a) = a**2. Determine k(v(m)). -6*m**4 Let w(s) = -13*s - 33. Let d(h) = 22*h + 66. Let x(k) = -3*d(k) - 5*w(k). Let m(n) = n. Determine m(x(l)). -l - 33 Let h(g) = -5*g - 3. Let d be 4*3/(-2)*4/6. Let q(y) = -6*y - 4. Let x(l) = d*h(l) + 3*q(l). Let o(c) = -11*c**2. Give x(o(r)). -22*r**2 Let j(z) = -10*z - 11*z + 22*z. Let k(w) = -28*w - 7. Let g(t) = 0 + 2 - 6*t + 15*t. Let m(r) = 7*g(r) + 2*k(r). Give j(m(f)). 7*f Let v(i) = 2*i**2 + 2 - 2. Let j(t) be the third derivative of t**4/12 + t**3/6 + 81*t**2. Let u(x) = -x - 2. Let k(w) = -4*j(w) - 2*u(w). Calculate v(k(d)). 72*d**2 Let d(j) = -j**2. Let k(r) = -21*r - 4. Let q(x) = -61*x - 11. Let c(f) = 11*k(f) - 4*q(f). Calculate d(c(n)). -169*n**2 Let m(h) be the third derivative of h**5/60 - 559*h**2. Let j(a) = 238*a + 1. Calculate m(j(f)). 56644*f**2 + 476*f + 1 Let n(q) be the third derivative of q**5/10 + 34*q**2. Let l(v) = -15*v. Determine n(l(b)). 1350*b**2 Let m(l) = -31182*l**2 + 2*l - 1. Let w(u) = -u. What is w(m(a))? 31182*a**2 - 2*a + 1 Suppose 9*a = 4*a - 5*p - 10, 5*p = 5*a - 30. Let h(n) = -3*n**a + n**2 - 6*n**2 + 4*n**2. Let y(k) = k. Determine h(y(o)). -4*o**2 Let m(b) = 72*b. Let w(j) = -48*j - 153. Determine m(w(x)). -3456*x - 11016 Let c(l) = 767246*l. Let f(u) = -u**2. What is f(c(w))? -588666424516*w**2 Let t(x) = -3*x. Let a(r) = -317860*r. Give a(t(d)). 953580*d Let o(m) = m + 15. Let l(y) be the second derivative of y**4/6 + 52*y. Calculate o(l(k)). 2*k**2 + 15 Let o(s) = -3*s. Let f(l) = -6453 - 8*l + 6453. Calculate o(f(t)). 24*t Let z(k) = 1688 - 11*k**2 - 1688. Let g(d) = -89*d. What is z(g(a))? -87131*a**2 Let b(u) be the third derivative of -u**5/6 - 50*u**2. Let y(w) = 3*w. Give b(y(l)). -90*l**2 Let f(g) = 5*g**2. Suppose -4*h - 19 = -3. Let d be 0/((-2 + 6)/h). Let r(s) = 1 + d - 1 - 2*s. Calculate r(f(a)). -10*a**2 Let s(i) be the second derivative of i**3/6 + 14*i. Let m(p) = -p - 1. Let k(q) = 4*q - 4. Let c(x) = -k(x) + 4*m(x). Calculate c(s(r)). -8*r Let u(j) = 38*j**2. Let p(b) be the third derivative of -19*b**5/60 + 19*b**2 - 7*b. What is u(p(v))? 13718*v**4 Let f(c) = 64*c + 17. Let o(w) = -127*w - 45. Let p(j) = 5*f(j) + 2*o(j). Let s(z) = -2*z. What is p(s(v))? -132*v - 5 Let a(g) = -g**2. Let y(b) = 249 + 250 + 81*b - 496. What is a(y(d))? -6561*d**2 - 486*d - 9 Let s(m) = -m - 7*m + 3*m. Let i(o) be the second derivative of o**4/3 - 2*o. Give s(i(q)). -20*q**2 Let z(m) be the first derivative of 50*m**2 + 79. Let o(x) = -x**2. Determine z(o(r)). -100*r**2 Let u(j) = 0 - 4*j - 3 - 5. Let o(q) = -q - 1. Let z(s) = 8*o(s) - u(s). Let g(r) = r**2 + 1. Let y(m) = 24*m**2 + 20. Let k(x) = 20*g(x) - y(x). Give z(k(p)). 16*p**2 Let t(g) = g. Let c(m) = -3*m**2 + 3*m + 3. Let r(a) = -3*a + 6*a**2 + a - 3*a - 5. Let s(l) = 5*c(l) + 3*r(l). Give s(t(n)). 3*n**2 Let b(a) = 72*a + 5. Let v(t) = -1044*t - 72. Let z(o) = 72*b(o) + 5*v(o). Let s(x) = -2*x. Determine z(s(y)). 72*y Let h(j) = 179*j. Let b(r) = 4364*r**2. Calculate h(b(n)). 781156*n**2 Let k(r) = 5*r. Let s(t) = -76*t**2 + 18 + 78*t**2 - 18 + 88*t. Calculate k(s(y)). 10*y**2 + 440*y Let l(p) be the first derivative of -18*p - 3*p**2 + 28*p - 10*p + 18. Let x(u) = -3*u**2. Give x(l(j)). -108*j**2 Let h(b) = -b. Let j(t) = t - 3. Let v(x) = -3*x + 8. Let r(d) = 9*j(d) + 4*v(d). What is r(h(a))? 3*a + 5 Let t(q) = -5*q + 2 - 2*q**2 + 3 - 5 + 5. Let b(h) = -12*h**2 - 28*h + 28. Let k(j) = 5*b(j) - 28*t(j). Let o(w) = -3*w**2. Determine k(o(r)). -36*r**4 Suppose 31 - 7 = -4*p. Let j be
{ "pile_set_name": "DM Mathematics" }
) be the first derivative of -49301*j**3/3 + 7*j**2 + 72*j + 224. Let u be w(-4). Round u to the nearest one hundred thousand. -800000 Suppose -b = 3*p - 19, -21 = -4*b - 4*p + 3*p. Let t(k) = -368751*k**3 + 2*k**2 + 9*k - 4. Let s be t(b). What is s rounded to the nearest 1000000? -24000000 Let f = -115 + 205. Let o = -90.065 + f. What is o rounded to 1 decimal place? -0.1 Let x be 6 + (-4 - -3) - -94226421. Let u = x - 58736426. Round u to the nearest 1000000. 35000000 Let p(a) = 447*a - 20. Let t be p(3). Let c = -2117 + t. Round c to the nearest ten. -800 Let v = -18245.100287042 - -18245.1. Round v to 5 decimal places. -0.00029 Suppose 5*u - 4*f = u - 636, 2*f = 2. Let p = u - -218. Round p to the nearest ten. 60 Let t(j) = -6*j**3 - 4*j**2 - 4*j + 12. Let m be t(-13). Let y be m/(-20) + (-3)/(-6). Round y to the nearest 100. -600 Suppose 1128*a - 40 = 1120*a. Let b be -7618 + ((-78)/(-65))/((-1)/a). What is b rounded to the nearest 100? -7600 Suppose -u = -4*w + 19780006, 47*u = -w + 44*u + 4944982. Round w to the nearest one million. 5000000 Let l(u) = -u**3 + 19*u**2 + 15*u - 21. Let k be l(10). Let z = -11708 + k. Let s be (-6)/(-24) - z/4. Round s to the nearest one hundred. 2700 Let a = -2.15 + 2.1297. Let n = -2.7503 - a. Round n to zero decimal places. -3 Suppose -4*i - 436 = -2*f, 2*f + 454 = 4*f + 2*i. Suppose -14200000 = 219*p - f*p. What is p rounded to the nearest 1000000? 3000000 Let t = 916849774.1 - 876777327. Let s = -40072458.100000475 + t. Let n = s + 11. What is n rounded to seven decimal places? -0.0000005 Suppose 0 = -3*p - 15, 3*p = -3*z + 15760 - 5434. Round z to the nearest one thousand. 3000 Let b = -0.77353 + 1.84166. Let o = b - 1.063. Round o to four decimal places. 0.0051 Let n = -127154.99 - -127684. What is n rounded to the nearest integer? 529 Let z be -644840031 + 31 + 6/3 + -2. What is z rounded to the nearest 1000000? -645000000 Let c = -3 + 49. Let l = 11 - c. Let d = 30.2 + l. What is d rounded to the nearest integer? -5 Let g = -6.37107458 - -6.371. What is g rounded to 6 decimal places? -0.000075 Let g = 38190 - 38208.311. What is g rounded to the nearest integer? -18 Let l = 341.652 + -341. Let j = 0.651406 - l. Round j to four dps. -0.0006 Suppose -97*s + 45 = -112*s. Let g(w) = 267*w**2 + 26*w + 66. Let o be g(s). What is o rounded to the nearest one hundred? 2400 Let a = 1.723 + 33.311. Let f = a + -35. Let m = f - 0.034025. What is m rounded to five decimal places? -0.00003 Let w = 3.87 + -4.1. Let g = 12090 - 12089.77508. Let z = w + g. What is z rounded to 4 decimal places? -0.0051 Let n = 0.0134 + 44.3866. Let u = n + -44.399379. Round u to five dps. 0.00062 Let h = 0.296 + -0.2632. Let s = h - 0.0328353. Round s to five dps. -0.00004 Suppose 49*w = 21*w. Suppose w*a = 4*a + 5*y + 23319, -5816 = a + 4*y. Round a to the nearest one hundred. -5800 Suppose -13*u = -11*u + 1319156. Let c be (-5 - u)/((-1)/16). Let i = -19253168 - c. What is i rounded to the nearest one million? -9000000 Let o = 3694.9 + -3694.8761389. Let h = o - 0.0238. What is h rounded to 5 decimal places? 0.00006 Let u = 2.27921 + 4.539815. Let i = -6.82 + u. What is i rounded to 5 dps? -0.00098 Let r be -485000 - (-13 + 10) - -7. Round r to the nearest 10000. -480000 Let q(p) = -1026568 - 884944 + 2977 + p**3 + 2*p**2 + 178535 + 3*p. Let j be q(0). What is j rounded to the nearest 100000? -1700000 Let o = -1517316 + 1517315.7100019. Let a = -1.57 - -1.86. Let j = o + a. Round j to 6 decimal places. 0.000002 Suppose -16*c + 99 = 19. Suppose r + 144900 = 3*u, 0 = -u + 3*u - c*r - 96600. What is u rounded to the nearest 10000? 50000 Let w = -3 + -1. Let r(g) = 1729*g**3 - 6*g**2 + 9*g - 12. Let u be r(9). Let a be w/(-7) + u/(-42). What is a rounded to the nearest ten thousand? -30000 Let b = 104987.14778 - 104988. What is b rounded to 1 decimal place? -0.9 Let a = -17.059 - 2453.341. Round a to the nearest ten. -2470 Let f = -34826.6 - -37871. What is f rounded to the nearest 1000? 3000 Let x = -1.4683 - -1.79245. Round x to three dps. 0.324 Let z = 18139.00012931 - 18139. What is z rounded to five decimal places? 0.00013 Suppose -7*s + 1 = -41. Let h be 32/(-40)*(-1590)/(-3 + s). Round h to the nearest one hundred. 400 Let k = 117.4 + -120.9814. What is k rounded to two dps? -3.58 Suppose 0*z - z = -4*i - 246, -3*z = 6. Let f = 65 + i. Suppose f*y - 5*k = 101075, 2*k - 3*k = 4*y - 134805. What is y rounded to the nearest 1000? 34000 Let m = -941.991626 + 942. Round m to 3 decimal places. 0.008 Suppose -6*o = -13*o + 6*o - 44394000. Round o to the nearest one million. -44000000 Suppose 168805000 = -62*a + 49*a. Round a to the nearest 100000. -13000000 Let l = 1678 + -1412.3. Let r = 352 - l. Let u = r - 92.29. Round u to 0 decimal places. -6 Let s = -21336.83 - -21348. What is s rounded to one dp? 11.2 Let u be 4/(-38) + (-153)/171. Let q be u + 680311 + (-3 - -2). Let m = -179691 - q. Round m to the nearest one hundred thousand. -900000 Let z = -574333.99424 - -574233. Let n = z + 101. Round n to 4 dps. 0.0058 Let
{ "pile_set_name": "DM Mathematics" }
he nearest to 0 in -2/17, v, 1/2? -2/17 Let i = -11.93 - -12. Let y = -0.13 - i. Let d = -37/3 + 12. Which is the closest to 2/7? (a) -5 (b) d (c) y c Let o = 5470/9 + -609. What is the nearest to -1/2 in 3, 2/7, o? o Let l = -21 - -24. Let d = 17 + -16. Which is the nearest to 0.5? (a) d (b) 5 (c) l a Suppose -4*c + 7 + 5 = 0. What is the nearest to -3 in -3, 5, c? -3 Let z = -1.5 + 0.7. Let y = 1.2 - z. Let x = -0.1 - 0.2. What is the closest to y in x, 1/4, -3/4? 1/4 Let m = -73/315 + 2/63. Let d = -7.86 - 0.14. Let q = d - -4. Which is the nearest to 2? (a) m (b) 1 (c) q b Let w be (-72)/15 - (-3)/(-15). Let z = -2 + 2.2. Let q = z + -0.3. What is the nearest to q in -3/7, -4, w? -3/7 Let h = -0.09 + 7.09. Let a = h + -8. What is the closest to -0.1 in -1/3, a, 1? -1/3 Let f = 31 - 31. Which is the closest to 0.1? (a) f (b) -2 (c) -0.5 a Let g = -0.1 + 0.2. Let i = g + -0.3. Let d = -0.2 + 0.3. What is the closest to d in -0.3, 1/4, i? 1/4 Let s = 173/5 - 35. Let p = -507/5 + 101. Which is the closest to s? (a) 3 (b) -2/3 (c) p c Let v = 1/112 + -341/560. Which is the closest to 1? (a) 3/4 (b) v (c) 0 a Let u = 0.62 - 1.02. What is the closest to -2/7 in 1/4, -26/3, u? u Let y = -2.9 + 5.9. Suppose 0 = b + k - 1, -4*b - 7 = -k + 4. Let z = -2 + b. What is the closest to -2/3 in z, y, 1? 1 Let q = 0.94 - -0.06. What is the nearest to 0.1 in 3/5, -4, q? 3/5 Suppose 2*t + 30 = 5*n - 0*t, 4*t - 52 = -4*n. Let c = -2457/20 - -525/4. Let l = n - c. What is the closest to -2/7 in 0, -3, l? l Let k be (-1)/1 - 1809/(-12). Let r = k + -149. Let a = 0.24 + 0.26. What is the closest to -1 in 3, r, a? a Let l = -0.248 - -0.048. Which is the nearest to -1? (a) 2/7 (b) -8 (c) l c Let n be 8/12 - (-1 + 10/6). What is the nearest to n in -2/5, -1, -2? -2/5 Let n = -0.2 - -0.5. Let z be (-2)/36 - 1/(-2). Which is the nearest to -0.1? (a) z (b) n (c) 4 b Let v be -1 + (-4)/(-3) - 1. Let h be (-7)/21*(-3)/8. Which is the closest to v? (a) 0.1 (b) h (c) -1 c Let p be 2/7 - 435/(-21). Suppose 0 = -3*m - 12, 5*y - p - 8 = m. Let c be 6/(-18)*(-1)/1. What is the closest to 1 in c, y, 1? 1 Let t = 0 + -0.05. Let p = -0.45 + t. Suppose 4*i - 3*i = 1. Which is the closest to 1? (a) i (b) p (c) 0 a Let d = -9 + 10. Suppose -l - 3 = 3*g + d, g = l. Suppose -2*f - f + 6 = 0. Which is the nearest to f? (a) -0.3 (b) l (c) -0.4 a Suppose 2*v - 306 = 2*w - 36, 2*w - 4*v = -272. Let t = w - -1204/9. What is the closest to t in -1/10, 0, -2? -1/10 Let f(n) = n**3 + 3*n**2 + 4*n + 2. Let p be f(-5). Let v be (-2)/(-3) + p/12. Which is the nearest to -1? (a) 0.3 (b) v (c) -3 a Let n be (((-8)/(-6) - 1) + -1)/1. Which is the nearest to 2? (a) 1 (b) 0 (c) n a Suppose 2*r + 0*d - 2 = 2*d, 0 = 2*r + 5*d + 19. Let m be 4/(-23)*-12 + r. Let i be 9/2 - (-2)/(-4). Which is the closest to -1/2? (a) m (b) i (c) 0.3 a Let h = -2.4 - -0.4. Let x = 1 + 4. Which is the nearest to 3? (a) 4/7 (b) x (c) h b Let v = 0.01 + 10.99. Let m = -9 + v. Which is the nearest to -1/4? (a) 2/7 (b) 0 (c) m b Let g = 19 + -20. Which is the nearest to g? (a) -0.2 (b) 4 (c) -1 c Let i be 0 - (-1 + 27/3). Let a be 6/i*32/(-132). What is the nearest to -0.1 in a, 1, -4? a Let x(b) = -b**2 + 4*b + 7. Let p be x(5). What is the nearest to 0 in -0.4, p, -1/4? -1/4 Let h = -0.81 - -1.81. What is the closest to 0 in h, -0.06, 1/2? -0.06 Let d be (0 + 6)*1/2. What is the closest to d in 4/3, -1/12, -3? 4/3 Let h be (8 - -4)/((-3)/(-4)). Let u = 13 - h. What is the nearest to -1 in -0.4, u, -0.3? -0.4 Let w = 2 - 1.9. Which is the nearest to w? (a) -0.06 (b) -4/5 (c) 3 a Let m be ((-84)/35)/(6/(-40)). Let b = 14 - m. Let t = 145/42 + -23/7. What is the closest to 0.2 in t, b, 1/8? t Suppose i - 3*o = 6, 0 = -3*i + o + 31 + 11. What is the closest to i in 5, -3, 1? 5 Let z = -57 + 53. Which is the nearest to 1/5? (a) 6 (b) z (c) 0.3 c Let r = 8 - 12. Let w be (-4)/(8*-1) - 10/(-4). Which is the nearest to 1? (a) w (b) r (c) -3 a Let q = 383/5 + -77. Which is the closest to -18? (a) q (b) 0.2 (c) -1 c Let
{ "pile_set_name": "DM Mathematics" }
d together -574.931 and 0.1. -574.831 Add -0.00044826 and 1. 0.99955174 Work out -2311 - -2. -2309 What is 0 less than -966.1? -966.1 Work out -62825 - -10. -62815 What is -0.09 - 15147? -15147.09 What is -0.117 - 53? -53.117 -21.88+-0.13 -22.01 What is -3 - -283? 280 Calculate 0.1 - 2.6128. -2.5128 Calculate -2 - 1.1621. -3.1621 Calculate -0.638 + 286. 285.362 What is 1891210 minus -1? 1891211 -279780 - 5 -279785 What is the difference between 3327 and -4? 3331 What is -102.7 minus -78? -24.7 Subtract 3106 from -0.14. -3106.14 Put together -0.81986 and 0.4. -0.41986 What is 338 + -6? 332 What is the distance between 15306 and 35? 15271 Calculate -4139 - 0.3. -4139.3 Add together 0.165 and 71. 71.165 3 - 162 -159 Calculate 0.1 - 5956. -5955.9 Subtract 0.4 from -745.1. -745.5 -0.072+-2.4 -2.472 Calculate -4 - 24.977. -28.977 Work out -0.24 - 318. -318.24 What is -2768 minus -0.06? -2767.94 Calculate 3 - 480.9. -477.9 What is 80547 take away -5? 80552 What is -1064275 - 5? -1064280 3 + 0.66352 3.66352 Sum -1.468 and -28. -29.468 What is 3 plus 18400? 18403 What is 0.85682 minus -0.2? 1.05682 Subtract -32370 from 0.5. 32370.5 0.32 + -4.249 -3.929 Total of 0.4 and 12.8. 13.2 Add -19 and 416. 397 What is 0.5 plus -11.463? -10.963 Add together -14284 and 0.04. -14283.96 Work out -31 + 120143. 120112 Calculate 0.072 + -328. -327.928 -9.72+-0.5 -10.22 Calculate 97 + 0.03. 97.03 What is 1 - 1.00745? -0.00745 What is -2341.3 minus 0.07? -2341.37 Total of -12 and 6195. 6183 What is 0.01 - -3426? 3426.01 Work out -4.58 + 3. -1.58 What is the distance between -0.18 and -222135? 222134.82 What is the difference between 1173 and -737? 1910 123425 - -0.06 123425.06 Add together -5 and 5962. 5957 Calculate -32 - 1020. -1052 Work out 0.4 - 7350.1. -7349.7 What is 123 less than 21246? 21123 Work out -0.189586 - 1. -1.189586 -2038 + -3 -2041 Calculate 0.0717 + 1.9. 1.9717 1699+-1 1698 Work out 0.4 + -745. -744.6 What is 88 less than -0.6? -88.6 -1+38410 38409 What is -2.14 - -6? 3.86 Work out 0.06 - 441.5. -441.44 -0.9 - 205.701 -206.601 Calculate 10 + 6. 16 Work out -9594 + 1058. -8536 Put together -6.8708 and 17. 10.1292 Work out -1 + -53310. -53311 Add 7 and 11.9. 18.9 What is -903.75 minus -2.8? -900.95 -16.6+-0.04125 -16.64125 125 + 0.14 125.14 What is the distance between -1019 and 39? 1058 Calculate 568 + -0.3. 567.7 Work out -0.1076 - 0.4. -0.5076 0.3+635 635.3 What is -85 minus 2.448? -87.448 What is -5 + 1503? 1498 What is -112.5 + 0.3082? -112.1918 Add together -13.1 and 15. 1.9 Work out -0.01 - 9.29. -9.3 What is -220.69 + -2? -222.69 Add together 0.11137 and -29. -28.88863 Add 0.08 and 0.358. 0.438 -0.1952394 - 0.4 -0.5952394 Sum -0.05 and -0.149. -0.199 What is -0.077 take away 0.15? -0.227 What is -0.16 less than -6.5? -6.34 Subtract -382 from 220. 602 Sum -0.14 and 294. 293.86 Add together 2.97 and 2. 4.97 -0.271 - 1.61 -1.881 Total of 8673 and 9.8. 8682.8 What is -162 minus 2135? -2297 What is -39.7 less than 13.45? 53.15 Add -0.9 and 85.7. 84.8 Put together 9956 and -6. 9950 Add -1609 and -0.4. -1609.4 What is -44.1 - 11? -55.1 Add -0.09 and -2570. -2570.09 Total of 0.4 and 471. 471.4 Add together 7 and 0.1418. 7.1418 -148.28+0 -148.28 0.2 - 2588 -2587.8 What is -2.4 - 0.00296? -2.40296 Work out -64 - -0.1628. -63.8372 What is -2 plus -2255? -2257 Calculate -0.6 - 848. -848.6 What is the difference between -1.2 and 0.19? 1.39 Total of -6 and -72. -78 What is -0.0614 minus 0? -0.0614 Put together 167068 and 12. 167080 -0.59645 + -3 -3.59645 What is 4 - 523.082? -519.082 What is the distance between -3.4 and 0.35? 3.75 What is 353 less than -0.432? -353.432 What is 15.99 + -108.3? -92.31 What is 1642.9 plus -1? 1641.9 Calculate -0.829 + -1.7. -2.529 3 + -9600 -9597 576.8 + -2 574.8 Work out -2 - -0.03683. -1.96317 Work out -2950072 + -0.3. -2950072.3 What is 4.23 take away 41? -36.77 Work out -0.06 - 0.536. -0.596 What is 2.4 + 152.9? 155.3 What is -0.0334823 + 0.2? 0.1665177 -27956+-1 -27957 What is the difference between 0.3 and -1.5106? 1.8106 What is 34 - 0.51? 33.49 Calculate -39.3618 - 0.2. -39.5618 What is -69 take away 14.4? -83.4 Add 757415 and 0.5. 757415.5 Subtract -133.8 from
{ "pile_set_name": "DM Mathematics" }
2354151 In base 11, what is -4942 - 408a? -8a21 In base 11, what is 229aa + 35? 22a34 In base 7, what is 12 - -40514020? 40514032 In base 2, what is -11010 + -1011010000110000101? -1011010000110011111 In base 7, what is 26036 + 131552? 160621 In base 4, what is 2 + -303102113101? -303102113033 In base 2, what is -101011110000 - -10011111010010111? 10011001110100111 In base 4, what is -213131303 + -1213003? -221010312 In base 11, what is 12481a + 18a? 1249a9 In base 9, what is 1116 - 6056? -4840 In base 11, what is 26185 - -220? 263a5 In base 10, what is 516673 - -1670? 518343 In base 4, what is 10122122233 + 1? 10122122300 In base 9, what is -3780040 + -1? -3780041 In base 13, what is a00b00 + 30? a00b30 In base 12, what is 27 - aba5ba? -aba593 In base 4, what is 12 - 200032112332? -200032112320 In base 10, what is 239852678 + 2? 239852680 In base 9, what is -2 + -11672412? -11672414 In base 15, what is -830 + 61c8? 5898 In base 2, what is 10 + -11100101000111110111101111? -11100101000111110111101101 In base 5, what is -13001131 + 111? -13001020 In base 2, what is -1001110001010010010010110100 - -1? -1001110001010010010010110011 In base 12, what is -978 + -681a? -7596 In base 3, what is -102012002 - 1001101? -110020110 In base 11, what is -90 - -14376? 14296 In base 10, what is -78 - 202350? -202428 In base 3, what is -212002102010 + 120? -212002101120 In base 4, what is 11231 - -2012210231? 2012222122 In base 5, what is -104241 - -110400? 1104 In base 10, what is 320900 + 9? 320909 In base 10, what is -1566 - 12040? -13606 In base 8, what is 4 + 35006? 35012 In base 12, what is -111838b9 + -3? -11183900 In base 11, what is 17738508 + 3? 17738510 In base 13, what is -1401 + -8c56? -a357 In base 5, what is 2004144333 - -3? 2004144341 In base 5, what is 4 - -24104310232? 24104310241 In base 7, what is 33 - 64366? -64333 In base 13, what is 378c9856 - -2? 378c9858 In base 10, what is -6850 - -5399? -1451 In base 5, what is -10400 - -4233004? 4222104 In base 12, what is -53ba4 - -139? -53a67 In base 2, what is -10010010 - -10111110111101000011? 10111110111010110001 In base 2, what is -1110100110 - 11011111001101000? -11100001000001110 In base 5, what is -2044232231 + 10? -2044232221 In base 11, what is -a086aa6 + a? -a086a97 In base 8, what is -2140514 - 124? -2140640 In base 15, what is 5 + a832c42? a832c47 In base 4, what is 1310333 + 3112? 1320111 In base 3, what is 12 - -2120222021020? 2120222021102 In base 8, what is 3603 - 26231? -22426 In base 7, what is 1240 + 1413531? 1415101 In base 9, what is 2 - 3415454? -3415452 In base 4, what is 2213323312 + 20? 2213323332 In base 14, what is 1 - 92a3b3? -92a3b2 In base 12, what is 19b5548 + -5? 19b5543 In base 4, what is 221113 + 3201033? 10022212 In base 2, what is 1000111101111001110100011010 - -11? 1000111101111001110100011101 In base 14, what is -1 + -1da5d4? -1da5d5 In base 2, what is 1000100 - -1011111001111100? 1011111011000000 In base 9, what is -24750045 - -4? -24750041 In base 2, what is 101010 - -101000110000010011010? 101000110000011000100 In base 9, what is 1168 + 7018? 8187 In base 7, what is 5150 + 442? 5622 In base 16, what is -33f3 + 2db? -3118 In base 13, what is -6259754 + -5? -6259759 In base 5, what is -40311011402 + 12? -40311011340 In base 6, what is -1323123 - 2542? -1330105 In base 3, what is 110101020 - -21? 110101111 In base 16, what is -4 - -18a81f? 18a81b In base 6, what is 151333334 + 1? 151333335 In base 13, what is 4a4b - -a? 4a58 In base 16, what is 6bd5c - -527? 6c283 In base 11, what is -4 + -329a521? -329a525 In base 3, what is 102 - 21112111012? -21112110210 In base 13, what is aa71c6 - -5? aa71cb In base 11, what is 31 - -1751670? 17516a1 In base 9, what is -120523478 + -5? -120523484 In base 14, what is -357 + a232b? a1db4 In base 16, what is 278af + -2ed? 275c2 In base 11, what is -93465a + 7? -934653 In base 3, what is 111010001022220222 + 1? 111010001022221000 In base 5, what is -2441 + -34332? -42323 In base 5, what is -133204141 - -143? -133203443 In base 9, what is -3421622 - -27? -3421584 In base 10, what is 40309 - -190? 40499 In base 16, what is 63b - -1bd3? 220e In base 4, what is 2 - -1221023101330? 1221023101332 In base 3, what is 1000002011022020 - -20? 1000002011022110 In base 13, what is 6b3787 - -1? 6b3788 In base 12, what is 3 - -252ba42? 252ba45 In base 13, what is 142b704 + -58? 142b679 In base 9, what is -468 + -7634? -8213 In base 11, what is -1 - -5123a8? 5123a7 In base 3, what is 11 + -2020212002102021? -2020212002102010 In base 15, what is -70760e8 + 7? -70760e1 In base 6, what is -3354131010 - 5? -3354131015 In base 14, what is b8 - d9839? -d9761 In base 11, what is 0 - -64978355? 64978355 In base 3, what is -202022121002021 + -121? -2020
{ "pile_set_name": "DM Mathematics" }
mplify (g/(g**(-2/31)*g*g))**(-6/5) assuming g is positive. g**(174/155) Simplify (x**(2/9))**5/(x**0*x**3/x) assuming x is positive. x**(-8/9) Simplify (a*a*a/a**2*a/(a**(-4/7)*a))**(-24/5) assuming a is positive. a**(-264/35) Simplify ((z/(z**(-13)*z))/z*z)/z**9 assuming z is positive. z**4 Simplify ((z/z**(2/5))/z)**(-1/6)*(z/(z*z*z/z**(-2)))/(z*(((z/z**(-3)*z)/z)/z*z)/z) assuming z is positive. z**(-119/15) Simplify (s**(-11))**(-4) assuming s is positive. s**44 Simplify z*z/(z/(z**(-2/11)*z*z))*(z/(z*z**(-1/3))*z)/z*z*((z/(z**1*z))/z)**34 assuming z is positive. z**(-2107/33) Simplify (v*v*v*(v*v**12)/v*v)/v*v*v*(v/(v/v**16)*v*v)/v*v assuming v is positive. v**35 Simplify ((g**(-2/11)/g)/(g**(-3/2)*g))/(g/g**1)**(-15/4) assuming g is positive. g**(-15/22) Simplify (((j**(-8)/j)/j)/(j/(j**3/j)))**(-20) assuming j is positive. j**180 Simplify n/((n**(-14)*n*n)/n)*n*n**5/n assuming n is positive. n**19 Simplify (n*n/((n*n**(-2/5)*n)/n)*n*n*n**(-1))**48 assuming n is positive. n**(576/5) Simplify (v*v**(5/6))**(-25) assuming v is positive. v**(-275/6) Simplify ((c**16*c*c)/c)/c**15 assuming c is positive. c**2 Simplify ((g/(g**(1/4)*g))/((g/(g**(3/8)*g))/g))**(-2) assuming g is positive. g**(-9/4) Simplify ((g*g*g**(1/19)*g)/g)/(((g/(g/(g/(g*g*g**(-43)*g))))/g*g*g)/g) assuming g is positive. g**(-740/19) Simplify (t/(t**(6/11)*t)*t)/t**13 assuming t is positive. t**(-138/11) Simplify d**(-1/23)/(d*(d**(-1/2)*d)/d) assuming d is positive. d**(-25/46) Simplify c**(4/3)*c**(-12)*c*c assuming c is positive. c**(-26/3) Simplify (m**(1/2)/m)**(-21/4) assuming m is positive. m**(21/8) Simplify (y**7/(y/y**6))/(y*(y*y/(y**(-5)*y))/y*y*y*y**(-2/33)) assuming y is positive. y**(134/33) Simplify ((m/m**(2/5))/(m/(m*(m*(m/m**(1/9)*m)/m)/m*m)))/((m**(-2/5)*m)/m*m**4) assuming m is positive. m**(-10/9) Simplify v**(1/5)*v**(10/11) assuming v is positive. v**(61/55) Simplify s**(-2)*(s**(3/5)*s)/s*(s**(-5)/s)/(s*s**(2/7)*s*s) assuming s is positive. s**(-374/35) Simplify z**8/(z/(z/z**8))*(z**(2/7)/z)**(-2/19) assuming z is positive. z**(10/133) Simplify (m**(-8)/(m*m/(m**(-2/9)*m)))/((m*m/(m/(m**(2/25)/m)))/m**3) assuming m is positive. m**(-1418/225) Simplify p**15*p*p**11 assuming p is positive. p**27 Simplify x**(-2)*((x*x/(x/(x/(x/((x/(x/(x*(x**5/x)/x)))/x)))))/x*x)/x*(x*x**(2/5))**(-50) assuming x is positive. x**(-69) Simplify ((x**(1/5))**(-15))**(5/7) assuming x is positive. x**(-15/7) Simplify (a*a/a**1)**(5/17)/(a*a**(-2))**(1/4) assuming a is positive. a**(37/68) Simplify (q**(1/2)/q)**(-1)*(((q*q**(-1/4)*q)/q)/q)**(-8/17) assuming q is positive. q**(21/34) Simplify (g*g**(-1/3))/(g/(g*g**(-7/4)*g)*g)*(g**1/g)**(-34) assuming g is positive. g**(-13/12) Simplify (b/(b*b/(b/(b/(b**(-22)*b*b)*b))))/(b*(b**11*b)/b) assuming b is positive. b**(-34) Simplify (d/(d/d**(-1/4))*d*d/(d*d**(2/23)))/(d/(d/(d**6*d))*d**9) assuming d is positive. d**(-1411/92) Simplify (t*t**5)/(t/t**(2/15)*t*t)*t**(-2/3)*t**(2/7) assuming t is positive. t**(289/105) Simplify j**(-2/15)/(j/(j**(-1/3)/j))*(j**(-1/2))**10 assuming j is positive. j**(-112/15) Simplify ((d*d*d*d*d**(-2/9))/d*d*d)/(d*d**4/d*d)*(d**(2/3))**(-17) assuming d is positive. d**(-104/9) Simplify ((((n*n**(-19)*n)/n)/n)/n)**16 assuming n is positive. n**(-320) Simplify (r*r*r**(-24))**(-5) assuming r is positive. r**110 Simplify o**(9/7)*o*o*o*o**(-2)*o assuming o is positive. o**(23/7) Simplify ((u/u**(-5/4))/((u**(-1)/u)/u))**(5/6) assuming u is positive. u**(35/8) Simplify h**(-5)/(((h*h/h**(-11))/h)/h) assuming h is positive. h**(-16) Simplify o*o**(-8)*o*o*o*o**(-4)*o assuming o is positive. o**(-7) Simplify ((y*y*y/y**0)**(-25/3))**8 assuming y is positive. y**(-200) Simplify (d**6/d)**(-33) assuming d is positive. d**(-165) Simplify (((s**(2/3)/s)/s)/s*s*s/(s**0*s)*s)/(((s**0*s)/s*s)/s)**(3/5) assuming s is positive. s**(-1/3) Simplify (((c/c**(-2/159))/c*c)/c)**16 assuming c is positive. c**(32/159) Simplify (m**5*(m**(-2/15)*m)/m*m)**(5/4) assuming m is positive. m**(22/3) Simplify (f**(-3/8))**(27/2) assuming f is positive. f**(-81/16) Simplify ((s*s**(-1/10))/s**(-3))**(-4) assuming s is positive. s**(-78/5) Simplify (k**(-2/3))**(-1/20)/(k**0*k)**(12/5) assuming k is positive. k**(-71/30) Simplify n/((((n/n**(2/9))/n)/n)/n*n)*n*(n*n*n*n**(2/21)*n*n)/n*n**(-8)*n**(-3/2) assuming n is positive. n**(-275/126) Simplify (c/c**(9/5))**39 assuming c is positive. c**(-156/5) Simplify (h**1*(h**0/h)/h)/(h*(h/(h**(2/3)/h))/h*h*h)**40 assuming h is positive. h**(-403/3) Simplify (g**(-3/5))**(-44) assuming g is positive. g**(132/5)
{ "pile_set_name": "DM Mathematics" }
315. Which is the closest to 3/2? (a) 1/7 (b) o (c) 2 c Let d = -1009.2 - -1012.2. Which is the nearest to 1? (a) 0.2 (b) -3 (c) d a Let w be (-539)/(-210) - 252/105. Which is the nearest to 1? (a) -3/10 (b) 5.1 (c) w c Let l = 0.2 + -0.1. Let q = 122.6 + -184. Let n = q - -60.9. Which is the nearest to l? (a) 5 (b) n (c) 0.1 c Suppose -8*y + 0*y + 24 = 0. Suppose y*n - n - n = 0. Let o = -443 - -10191/23. Which is the closest to n? (a) 11 (b) o (c) -2/9 b Let n = 2192 + -2191. What is the closest to -2 in n, 3/2, 1/10? 1/10 Let y = 16049 - 16046. Let j = 49201/5285 - 18/755. Let z = 81/14 - j. Which is the closest to -1/3? (a) y (b) z (c) -2/3 c Let r = 57.73 - -0.27. Let v = r - 58.5. Let c be (-4)/(-40) + (-9)/(-6) + -2. What is the nearest to 0 in -1/3, v, c? -1/3 Let y be -2*10/2320*8 + 195/725. Let w = 19.59 - 20. Let n = -0.01 - w. What is the closest to y in n, -1.5, 1? n Suppose 13*g = -909 + 870. Which is the nearest to -3? (a) g (b) -1 (c) 7 (d) -0.1 a Let y be (-1 + 4/(-16)*250)*-12. Let k = 764 - y. Which is the closest to -2? (a) 6/13 (b) 1 (c) k (d) -0.5 d Suppose 4*o - s + 10 = 0, -4*o + 2*o + 2*s = 8. What is the nearest to -1/44 in o, -0.6, 0.4? 0.4 Let t = -2642 + 2636. Which is the closest to 2? (a) t (b) -0.5 (c) 0.5 c Let u = -5 - -9. Let k = 3 - u. Suppose 4*w = 528*b - 530*b + 36, -5*w + 30 = b. What is the closest to 0 in w, k, 2? k Suppose -7 = 2*p + 1. Let r be -6 + (-5)/(10/p). Let q be (16/60)/(r/10). What is the nearest to 2/3 in -4/5, -2/21, q? -2/21 Let f = -0.1 + 0.3. Let v = -0.124 - 0.067. Let k = v + 11.191. Which is the nearest to 0.2? (a) -1/5 (b) k (c) f c Let r = -2097.5 + 2095.5. What is the closest to 0.1 in -99, -2/5, r? -2/5 Let v be 2/5 - (11229/760 - 14). Let z be 132/255 + 2/(-17). What is the nearest to z in v, -3, 0? 0 Suppose 99 = -3*j - 30. Let v be j/66 - (-20)/(-110). Suppose 30 = 22*g + 8. What is the closest to g in v, -2/3, 5? -2/3 Let a be 57/(-10) + (6 + -4)/2. Let j = a + 29/6. Let c = 2.3 - 2.2. What is the nearest to c in j, -1/3, 0.01? j Suppose 15 - 4 = -3*r - s, -2*r = -4*s + 12. Let u be 1 - ((-7375)/(-2625) + (-20)/12). What is the closest to 4 in r, u, -0.5, -0.1? -0.1 Let d = -4.97 + 5. Let s = 17676 - 17678. Which is the closest to 6? (a) 2 (b) s (c) d a Let i be 0 + (-1 - 5/(-1)) - 1818/455. Which is the closest to 1/4? (a) 0.3 (b) 1 (c) i (d) 3/5 a Let z = -1479.4 + 1479.277. What is the closest to -13 in -1, z, 0.4, 0.1? -1 Let v = -3568 - -3569. Which is the closest to -1? (a) 3 (b) 5 (c) 4/11 (d) v c Let u = -1334.1 + 1275. Let i = -59 - u. Let h = 0.348 - -0.452. What is the closest to 0.1 in 0, i, h? i Let n = -0.1272 - 1.1828. Let f = 207.13 - 206. Let w = n + f. Which is the closest to 0? (a) -0.1 (b) 1/4 (c) w a Let b = -16.46 + 14.46. What is the closest to 0.1 in 0.056, 0.2, b, 3/2? 0.056 Let h(l) = 12*l + 57. Let t be h(4). Let r = t - 733/7. Which is the nearest to 0.1? (a) -2 (b) r (c) -2/5 b Suppose 269*p + 49 = 318*p. Let j = 0.32 - -1.68. Which is the nearest to p? (a) 0.5 (b) 4 (c) j (d) -2/7 a Suppose -252*k = -238*k + 14. Which is the closest to 2? (a) 1 (b) -3/5 (c) k (d) 4 a Suppose -4*t + 0*t = y - 10, 2*t - 2*y = 0. Let s = 5/1019 - 2093/11209. Let r = 7.2 - 7. What is the closest to s in r, -2, t? r Let s = 0.449 + 0.051. Let v = -305527/7 + 43751. Let q = -104 + v. Which is the nearest to 1? (a) s (b) -2/47 (c) q a Let l = 1.1989 - 0.1989. Which is the closest to 3? (a) -22 (b) l (c) -0.5 (d) -2/17 b Let y = -0.427 + -0.073. Let g = 595 - 4168/7. What is the closest to g in y, 2/13, 2? y Let z = 247 - 116. Let h = -131.1 + z. Which is the nearest to 0.1? (a) h (b) -1 (c) 5 a Let f be (-27977)/2525 - (4 + -15). Which is the nearest to 1? (a) -1/6 (b) -0.2 (c) f (d) 1 d Let o(b) = b**3 + 11*b**2 + 43*b + 23. Let x be o(-3). What is the closest to 0.1 in -1/2, x, -2, -4? -1/2 Let r be (6/(-63) + 1677/9009)/(1/(-3)). Let h be (-2)/6 - (-6)/9. Which is the closest to -0.3? (a) 5 (b) r (c) h b Let o be (-30)/(-35) + -1*1. Let h = -482.4 + 482.5. Let r = -2 - 1. Which is
{ "pile_set_name": "DM Mathematics" }
e 0 = 6*o + 99 - 693. Let n = o - 111. Let a(l) = 4*l**2 - 13*l - 1. Let x(u) = u**2 + 1. Let k(v) = a(v) - 5*x(v). Determine k(n). 6 Let m(g) = 12 - 10*g**2 - g**3 - 6 + 3 - 20*g + 1. Let t be m(-7). Let b(o) = o**2 + 0*o + 3 + t + o + 1. Calculate b(0). 7 Let i(b) = b**3 - 5*b**2 - b - 1. Suppose -6*a = -a + 200. Let j = a + 44. Determine i(j). -21 Suppose -30*v - 456 = -86*v - 20*v. Let r(z) = -z**2 - 4*z + 69. What is r(v)? 9 Let o = 2 - 1. Let t(v) be the second derivative of 12*v - 1/2*v**2 - 5/3*v**3 - 2. Give t(o). -11 Let u(q) = 12*q**2 + 29*q + 17. Let c(l) = -6*l**2 - 16*l - 9. Let h(k) = 7*c(k) + 4*u(k). Calculate h(-2). 21 Let i(u) = -218100 - u**2 - 4*u - 218103 + 436198. Suppose 2 + 4 = -3*y. Let g = y + -2. Determine i(g). -5 Suppose 6140 + 1188 = 4*x. Let c(j) = 4*j + 2*j - x + 1835 + j**2. Determine c(-5). -2 Let o(c) = -c**3 - 8*c**2 + 8*c + 2. Let p(s) = -s - 16. Let i be p(-27). Suppose -3*d - 16 - i = 0. Determine o(d). 11 Let n(l) = l**2 - 3*l + 2. Suppose 3*r + 5*a = -1, -4*r + 22 = 10*a - 8*a. Determine n(r). 42 Let m(x) = -9*x - 5. Let p = 110 + -30. Suppose 25 = 5*k + p. Let s(h) = -44*h - 27. Let t(f) = k*m(f) + 2*s(f). Calculate t(1). 12 Suppose 63 = -5*u + 308. Let k = u + -46. Let x(l) = 6*l**3 + l**2 + 2*l + 3. Let r(w) = 5*w**3 + 2*w**2 + 2*w + 2. Let q(i) = k*x(i) - 4*r(i). Give q(-3). 16 Let p(u) = -18*u + 11. Let a(b) = b - 3. Let n be 0 - ((-8)/14)/(2/14). Let g(c) = n*a(c) + p(c). Calculate g(2). -29 Let s(v) be the first derivative of -v**2/2 - 9*v - 2. Let h be s(-7). Let z(w) = 4*w + 74 + 5*w - 7*w + w - 72. Determine z(h). -4 Let m(n) = -7*n**2 + 3 + 30*n**2 + 3*n - n**3 - 25*n**2 + 1. Give m(-1). 0 Suppose 5*f + 51 = 2*x, -88 + 7 = -4*x + 3*f. Suppose -15 = x*v - 23*v. Suppose 3*o + 4 = -5*m + 19, -v*o - m + 3 = 0. Let w(r) = r**2 - 4. Give w(o). -4 Let d(f) be the first derivative of f**3/3 - 13*f**2/2 + 7*f + 4. Suppose -10*s + 10*s + 180 = 18*s. Calculate d(s). -23 Suppose 3*q - 4 = q. Let r(g) = -q*g**2 + 33*g - 1 - 33*g. Let j be 4 + -11 + 15 + -6. What is r(j)? -9 Let a(r) be the third derivative of -7*r**4/24 - 55*r**3/3 + 194*r**2 + 3*r - 1. Calculate a(-15). -5 Let r(w) = -3*w**3 - 14*w**2 + 153 - 482 + 255 - 10*w + 4*w**3. Calculate r(15). 1 Let q(d) = -1 - 6 + 7*d + 11 - 1. Let g = -1146 + 1147. Determine q(g). 10 Let g(s) = 302*s - 10. Let v be g(1). Let r = v + -292. Let j(p) = p + 6. Determine j(r). 6 Let l(n) = n**3 - 9*n**2 + 25*n - 77. Let i be l(7). Let q(a) = -2*a**2 - 3*a + 17. Give q(i). 17 Let n(s) be the first derivative of -s**4/4 - 2*s**3/3 + 5*s**2/2 + 7*s - 824. Give n(-5). 57 Let w(t) = -2*t**3 + 5*t**2 - 2. Let r(f) = 8*f**3 - 43*f**2 + 2*f + 6. Let g(m) = -r(m) - 3*w(m). Determine g(14). -28 Let y be 456/72 - 4/(-6). Let s(j) = -6 - 8*j**2 + 2*j**2 + j**2 + 4*j**2 - y*j. Let c(u) = 3*u**2 - 11*u. Let v be c(3). What is s(v)? 0 Let n(f) be the second derivative of 3*f**2 - 1/20*f**5 + 186*f + 0*f**3 + f**4 + 0. Calculate n(12). 6 Let a(x) = -3*x**2 - 4*x + 7. Let q(u) = -4*u**2 - 5*u + 9. Let k(m) = 5*a(m) - 4*q(m). Suppose -4*y = -12*y + 16. Give k(y). 3 Let z(g) be the first derivative of 7*g**2/2 - 105*g - 3849. Determine z(15). 0 Let k(w) be the third derivative of w**6/60 + w**5/12 + 3*w**4/8 + 5*w**3/3 + w**2 - 328*w + 3. What is k(-2)? -4 Let y(v) = v**2 - 82*v + 780. Let h be y(71). Let m(s) = -s**2 + 7*s + 7. Determine m(h). -1 Let f(l) = -l**3 + l**2 + l + 11. Let d(i) = 2*i - 127*i**2 + 132*i**2 - 5*i + i**3 + 30. Let h be d(-6). Suppose h*c - 2*c = 0. Calculate f(c). 11 Let n(k) = k**3 + 5*k**2 - 7*k + 5. Suppose -4*p = 16, 708 = -4*m + 2*p + 2*p. Let c = m + 175. Calculate n(c). 11 Let b(r) = 23*r**2 - 46*r - 77. Let q(x) = 7*x**2 + 7*x - 1. Let i(p) = b(p) - 3*q(p). Give i(34). -40 Let c = -343 + 528. Let j = c + -191. Let o(a) = -a**3 - 4*a**2 + 6*a - 7. What is o(j)? 29 Let x(r) be the second derivative of -r**5/20 - 3*r**4/2 + 7*r**3/2 + 22*
{ "pile_set_name": "DM Mathematics" }
actor of c? True Let f(l) = l**2 - 18*l + 71. Let c = -44 - -60. Is f(c) even? False Suppose 5*m - 41019 = -3*z, -54692 = -4*z - 8*m + 3*m. Suppose 37*p + 4682 = z. Does 3 divide p? True Let v = -1615 - -795. Does 31 divide (5/(100/(-36)))/(6/v)? False Suppose -8*n = -4*n. Suppose 0 = -3*k - n*k + 9. Suppose 0 = 7*o - k*o - 84. Is 7 a factor of o? True Suppose 2*p + 5*r - 1671 = 0, -p - 2*r + 836 = r. Suppose 14*f + p = 21*f. Is 5 a factor of f? False Let c be (-6)/(-2) + 1 + -6. Let j be (c + 3)/(-1*(-3)/(-9)). Is 14 a factor of (0 - -71) + j*2/(-6)? False Let z be (-7 - -12)/(-10) + 9/2. Suppose 28 = 2*x + z*j - 8*j, j + 35 = 4*x. Is 29 a factor of (846/24 - 7) + 6/x? True Let r(b) = 5*b**3 - 7*b**2 + 5*b + 12. Let o(k) = 11*k**3 - 14*k**2 + 9*k + 25. Let u be 2*-1 - (20 + -9). Let s(w) = u*r(w) + 6*o(w). Is s(-8) a multiple of 9? True Is ((-2)/6)/((-95)/1544415) a multiple of 147? False Suppose 28*r = 23*r. Suppose -325*l + 320*l + 7695 = r. Does 13 divide l? False Let c be (-1)/2 + 593/2. Let w(j) = -322*j - 1129. Let k be w(-3). Let h = c + k. Is 9 a factor of h? False Let v(t) be the second derivative of -t**4/12 - 31*t**3/6 - 33*t**2/2 - 2*t + 49. Is 62 a factor of v(-16)? False Suppose -11*o + 3*o + 272 = 0. Suppose -o*k = -15*k - 8170. Is k a multiple of 13? False Let t = -120 + 106. Let q(i) = -i**2 - 30*i + 10. Is 13 a factor of q(t)? True Suppose -5222 = -5*m + 4*y - 16, -4*y = 3*m - 3098. Suppose -u + 3*u = m. Does 33 divide u? False Let t be ((-15)/(-5) - 6) + (0 - -18). Suppose 21*r = t*r + 18. Suppose 4*f - f - 159 = -3*c, -4*c = r*f - 157. Does 11 divide f? True Let q = -13326 + 16156. Does 140 divide q? False Let l(k) = 19*k + 494. Does 5 divide l(-6)? True Let v = -3189 - -3501. Is 156 a factor of v? True Suppose -r - 5*u = -3193, 0*r - 2*r + 6326 = -2*u. Is r a multiple of 33? True Let r = -673 + 715. Does 13 divide -3*154/r*(1 - 21)? False Let q = -926 - -1664. Suppose 0 = 2*u - 3042 + q. Suppose 3*y - 11*y + u = 0. Does 24 divide y? True Let m = -47 - -63. Let d be ((-36)/m)/(5/(-20)). Is 14 a factor of ((-224)/(-2))/(d/2 + -4)? True Let u be 3/((-2)/(-3)*24/16). Suppose u*z + 2 - 14 = 0, -d - 5*z = -19. Is 37 a factor of -3 + 0 - d - (-225 + 1)? True Suppose -19*c = -28*c + 8262. Suppose -2*o + 928 = 2*q, -2*q + o + 2*o + c = 0. Is 42 a factor of q? True Let q(s) = 4*s - 5*s**2 + 9 + 0*s**2 + 4*s**2 + 6*s. Suppose -j - r = r - 9, 24 = 4*j + 2*r. Does 17 divide q(j)? True Suppose 0 = -8*k - 1 + 17. Let a be k/15 - (2 + 253/(-15)). Let d = a + 21. Is d a multiple of 12? True Let y = 40 + -41. Let u be 5 + -1 + 0/y. Suppose -188 = -4*x + u*t, -32 = -x - 6*t + 2*t. Is 6 a factor of x? False Let k(r) = -65*r + 428. Let h(o) = -61*o + 427. Let q(p) = -3*h(p) + 2*k(p). Is q(25) a multiple of 30? True Suppose -24*a + 96356 = -36052. Does 12 divide a? False Let r(z) = -z**3 + z**2. Let h(x) = 187*x**3 - x**2 + 7*x + 6. Let i(d) = -h(d) - 2*r(d). Suppose 5*o = -j - 7, -117 + 118 = 3*o - 2*j. Does 8 divide i(o)? False Let q(v) = -v**3 - 5*v**2 - 8*v - 10. Let r be q(-4). Suppose 0 = 4*a + r*a - 120. Let l = 45 - a. Does 3 divide l? True Suppose 21 = -2*n + 5*j, 0*j + 17 = -4*n + 5*j. Suppose 2*m - 5*r = -2*m + 460, -5*r = -n*m + 240. Suppose 14*p + m = 16*p. Does 11 divide p? True Suppose 0 = -4*m + c - 829, 0 = 4*m - 3*c + 273 + 566. Let k = 34 - m. Is 30 a factor of k? True Suppose h - 364 = 4*t, -4*t + 9*t + 448 = 3*h. Let s = 101 + t. Let m = 22 + s. Does 5 divide m? False Suppose -7726 = -5*t + 7424. Suppose -15*w + 4155 = -t. Is 26 a factor of w? False Let t(r) = -r**3 - 7*r**2 + 9*r + 17. Let i be t(-8). Let h be 4/22 - (i/(-11) - -1). Suppose h*u + 78 = 3*u. Is 13 a factor of u? True Let f = -29 - -20. Let i(g) = 3*g**2 + 0*g + 11*g - 158 + 142. Does 49 divide i(f)? False Let q = 7197 + 1371. Does 84 divide q? True Let u(w) = w - 1. Let m be u(3). Suppose 0 = m*t + 4*f - 272, -t + 2*t - 5*f = 115. Suppose 105 = 3*y + s, -3*y - y + 2*s + t = 0. Is y a multiple of 3? False Let m = 488 + -457. Suppose -9*b = -m*b + 2156. Does 14 divide b? True Let y(v) = v**2 - 27*v - 71. Let r be -31*5/(-25)*1*5. Is 4 a factor of y(r)? False Let o be -1 + (-6 - (2 + 2)). Let g = 52 + o. Let b = g + -15. Is 12 a factor of b? False Let l be 2/((-2180)/(-365) - 4 - 2). Let c = l + 151. Does 27 divide c? False Let k(f) = 517*f**2 + 218*f + 148. Is 3 a factor of k(-5)? False Suppose -4*f + 403 - 59 = 0. Suppose -
{ "pile_set_name": "DM Mathematics" }
2 What is the remainder when 1410 is divided by 697? 16 Calculate the remainder when 59 is divided by 35. 24 Calculate the remainder when 368 is divided by 74. 72 Calculate the remainder when 83 is divided by 28. 27 What is the remainder when 221 is divided by 57? 50 What is the remainder when 65 is divided by 44? 21 Calculate the remainder when 869 is divided by 29. 28 What is the remainder when 2333 is divided by 259? 2 Calculate the remainder when 4587 is divided by 13. 11 Calculate the remainder when 87 is divided by 49. 38 What is the remainder when 5761 is divided by 339? 337 What is the remainder when 37 is divided by 12? 1 Calculate the remainder when 590 is divided by 85. 80 What is the remainder when 663 is divided by 26? 13 Calculate the remainder when 298 is divided by 100. 98 Calculate the remainder when 198 is divided by 51. 45 Calculate the remainder when 138 is divided by 76. 62 What is the remainder when 1102 is divided by 32? 14 What is the remainder when 2015 is divided by 56? 55 What is the remainder when 134 is divided by 63? 8 What is the remainder when 1578 is divided by 51? 48 Calculate the remainder when 4281 is divided by 4. 1 What is the remainder when 28 is divided by 20? 8 What is the remainder when 671 is divided by 113? 106 Calculate the remainder when 81 is divided by 2. 1 Calculate the remainder when 26 is divided by 15. 11 What is the remainder when 40 is divided by 25? 15 What is the remainder when 1376 is divided by 342? 8 Calculate the remainder when 5484 is divided by 1094. 14 What is the remainder when 1855 is divided by 50? 5 Calculate the remainder when 191 is divided by 48. 47 What is the remainder when 132 is divided by 36? 24 Calculate the remainder when 12 is divided by 1. 0 Calculate the remainder when 1479 is divided by 20. 19 What is the remainder when 7 is divided by 5? 2 What is the remainder when 70 is divided by 18? 16 Calculate the remainder when 491 is divided by 12. 11 What is the remainder when 382 is divided by 26? 18 What is the remainder when 298 is divided by 85? 43 Calculate the remainder when 120 is divided by 111. 9 What is the remainder when 200 is divided by 30? 20 Calculate the remainder when 92 is divided by 17. 7 Calculate the remainder when 821 is divided by 137. 136 Calculate the remainder when 46726 is divided by 72. 70 What is the remainder when 113 is divided by 20? 13 Calculate the remainder when 197 is divided by 34. 27 Calculate the remainder when 95 is divided by 20. 15 What is the remainder when 723 is divided by 11? 8 What is the remainder when 3503 is divided by 26? 19 Calculate the remainder when 270 is divided by 146. 124 What is the remainder when 333 is divided by 113? 107 Calculate the remainder when 947 is divided by 50. 47 Calculate the remainder when 398 is divided by 27. 20 What is the remainder when 163 is divided by 21? 16 Calculate the remainder when 102 is divided by 8. 6 Calculate the remainder when 6018 is divided by 1502. 10 What is the remainder when 347 is divided by 177? 170 Calculate the remainder when 957 is divided by 8. 5 What is the remainder when 119 is divided by 13? 2 What is the remainder when 1678 is divided by 554? 16 Calculate the remainder when 9961 is divided by 212. 209 Calculate the remainder when 420 is divided by 17. 12 What is the remainder when 10302 is divided by 229? 226 What is the remainder when 1534 is divided by 221? 208 Calculate the remainder when 4309 is divided by 11. 8 What is the remainder when 279 is divided by 68? 7 Calculate the remainder when 80 is divided by 48. 32 Calculate the remainder when 162 is divided by 41. 39 Calculate the remainder when 122 is divided by 18. 14 Calculate the remainder when 1987 is divided by 60. 7 Calculate the remainder when 354 is divided by 20. 14 What is the remainder when 8196 is divided by 40? 36 What is the remainder when 77 is divided by 27? 23 Calculate the remainder when 674 is divided by 243. 188 Calculate the remainder when 38 is divided by 11. 5 Calculate the remainder when 246 is divided by 47. 11 Calculate the remainder when 71 is divided by 38. 33 What is the remainder when 344 is divided by 14? 8 What is the remainder when 26143 is divided by 45? 43 Calculate the remainder when 2560 is divided by 57. 52 Calculate the remainder when 287 is divided by 49. 42 Calculate the remainder when 845 is divided by 16. 13 Calculate the remainder when 1747 is divided by 23. 22 What is the remainder when 252 is divided by 15? 12 Calculate the remainder when 3415 is divided by 15. 10 What is the remainder when 111 is divided by 29? 24 What is the remainder when 60 is divided by 20? 0 Calculate the remainder when 16768 is divided by 129. 127 Calculate the remainder when 472 is divided by 14. 10 Calculate the remainder when 625 is divided by 206. 7 Calculate the remainder when 1004 is divided by 7. 3 Calculate the remainder when 223 is divided by 109. 5 What is the remainder when 11850 is divided by 23? 5 Calculate the remainder when 196 is divided by 126. 70 Calculate the remainder when 3037 is divided by 40. 37 What is the remainder when 1657 is divided by 11? 7 What is the remainder when 673 is divided by 11? 2 Calculate the remainder when 729 is divided by 146. 145 Calculate the remainder when 3849 is divided by 107. 104 Calculate the remainder when 76 is divided by 62. 14 Calculate the remainder when 173 is divided by 38. 21 What is the remainder when 447 is divided by 76? 67 What is the remainder when 3406 is divided by 261? 13 What is the remainder when 72 is divided by 29? 14 Calculate the remainder when 362 is divided by 13. 11 What is the remainder when 13197 is divided by 14? 9 Calculate the remainder when 6475 is divided by 108. 103 What is the remainder when 303 is divided by 51? 48 What is the remainder when 164 is divided by 13? 8 Calculate the remainder when 968 is divided by 310. 38 What is the remainder when 2990 is divided by 17? 15 Calculate the remainder when 303 is divided by 64. 47 Calculate the remainder when 8056 is divided by 84. 76 What is the remainder when 254 is divided by 16? 14 Calculate the remainder when 56 is divided by 14. 0 Calculate the remainder when 521 is divided by 31. 25 Calculate the remainder when 3854 is divided by 202. 16 What is the remainder when 198 is divided by 5? 3 What is the remainder when 526 is divided by 24? 22 What is the remainder when 20071 is divided by 193? 192 What is the remainder when 1012 is divided by 413? 186 Calculate the remainder when 158 is divided by 74. 10 What is the remainder when 80 is divided by 42? 38 Calculate the remainder when 21 is divided by 8. 5 What is the remainder when 3146 is divided by 90? 86 What is the remainder when 174 is divided by 56? 6 Calculate the remainder when 5940 is divided by 8. 4 Calculate the remainder when 1631 is divided by 16. 15 What is the remainder when 48 is divided by 17? 14 What is the remainder when 773 is divided by 255? 8 What is the remainder when 244 is divided by 36? 28 What is the remainder when 1154 is divided by 4? 2 What is the remainder when 24512 is divided by 206? 204 Calculate the remainder when 160 is divided by 83. 77 Calculate the remainder when 606 is divided by 101. 0 What is the remainder when 1005 is divided by 166? 9 What is the remainder when 882 is divided by 255? 117 Calculate the remainder when 2903 is divided by 242. 241 What is the remainder when 325 is divided by 131? 63 Calculate the remainder when 3118 is divided by 30. 28 What is the remainder when 61 is divided by 33? 28 Calculate the remainder when 101 is divided by 52. 49 What is the remainder when 1056 is divided by 1044? 12 Calculate the remainder when 29648 is divided by 13. 8 Calculate the remainder when 1564 is divided by 28. 24 What is the remainder when 164 is divided by 52? 8 What is the remainder when 1295 is divided by 22
{ "pile_set_name": "DM Mathematics" }
2 + 6*w - 27. Let u(b) = -9*k(b) + 4*t(b). Is u(4) a prime number? True Suppose -11*b = 19*b - 2910. Is b prime? True Suppose -9*p - 36 = -13*p. Let q(v) = -74*v - 9 + p + 7. Is q(-9) composite? False Suppose -7*v = -15 - 41. Let j(y) = 2*y**3 + 9*y**2 + 8*y - 7. Is j(v) prime? True Suppose -f + 5*g + 2097 = -1019, -f = -3*g - 3110. Is f composite? True Let k = 109 + -30. Is k composite? False Let y(x) = x**3 + 8*x**2 - 2*x - 12. Let n be y(-8). Suppose -n*r + 3*r + 87 = 3*v, 0 = 4*r + v - 348. Let a = r + -28. Is a a prime number? True Is 15815186/808 - 6/(-16)*2 a composite number? True Let x(h) = 18*h**2 - 7*h + 4. Let v be x(4). Let g = 683 - v. Is g composite? False Suppose 4*n - 2908 = 3*a, -n + 7*a = 2*a - 727. Suppose -3*w + 5*g = -2553, -2*w + 3*g + 2429 = n. Is w composite? True Let u(c) = c**3 - 5 + 6*c - 1 - 6*c**2 + 4. Let d be u(5). Suppose -d*v + 795 = 2*v. Is v a prime number? False Let x = -9 - -13. Let r be (-2095)/10 - (-2)/x. Let c = 320 + r. Is c prime? False Suppose -3*a + 2*o = -3*o + 26, 3 = -a - 4*o. Suppose 2*t = 2*r - 370, 5 = -9*t + 4*t. Let v = r - a. Is v prime? True Let j be -12*3/18*-4. Is 587/(-5)*(3 - j) prime? True Let t = -96 - -277. Let f = t + 678. Is f prime? True Suppose -4*q - 5*i + 11 - 36 = 0, 0 = -3*q - 3*i - 15. Suppose 2*u - 20*u + 9270 = q. Is u a prime number? False Let k be (201/(-39) + (-4)/(-26))*-1. Suppose 2633 = k*z + 238. Is z a prime number? True Let q(w) be the third derivative of -w**4/8 + 5*w**3/3 - 2*w**2. Let m = 20 - 27. Is q(m) prime? True Let t be (-22)/6*3*-242. Suppose 5*r + 2*d - t = 0, 2*d = 4*r - 239 - 1905. Let o = r - 245. Is o prime? False Is ((-1)/(-1) - 2)*(-94 - 20625) a composite number? False Let n(s) = 10*s + 32*s - 160*s - 127*s + 1. Let b be n(-4). Let l = 1408 - b. Is l a composite number? True Suppose -10*x + 5142 = 1372. Is x a composite number? True Let p(q) = 7*q**2 - 4*q + 5. Let w(f) = 15*f**2 - 7*f + 10. Let r(y) = 9*p(y) - 4*w(y). Let i(d) = 9*d - 75. Let u be i(9). Is r(u) a prime number? False Suppose 0 = -r - 948 + 325. Let f be ((-21)/(-9))/(9/(-1404)). Let j = f - r. Is j prime? False Let s(h) = 11 - 5*h**3 + 10*h**3 - 6*h + 6*h**2 - 11*h - 4*h**3. Is s(-8) prime? True Suppose 5*i = -5*r, -4*i = -6*r + 2*r. Suppose 258 = -i*z + 3*z. Suppose -z = -0*w - w. Is w composite? True Let i = 732 - 441. Let h = i + -37. Is h a prime number? False Suppose 0 = 2*l - 244 - 794. Let c be (l/12)/(3/12). Suppose -3*a + 3*y = -171, 0*a - 2*y - c = -3*a. Is a a composite number? False Let g = -35 - -37. Suppose -4971 = -p + r - 138, -g = r. Is p a prime number? True Let w(r) = -35*r**3 + 7*r**2 + 7*r - 3. Is w(-2) prime? False Let o = -22802 - -49929. Is o composite? False Let l be 40095/20 + (-2)/(-8). Suppose -4*i - 3*w = -l, 2*i - 1001 = -0*i - w. Is i a composite number? False Suppose -k = 2*o - 22, 0 = k - 0*o - 4*o - 22. Let c = 17 - k. Is (-4878)/(-30) - 2/c a composite number? False Let q(p) = 2*p**2 - p + 3. Let l = 2 - -1. Let x be 95/(-20) + l/4. Is q(x) prime? False Let m(u) = u**2 - 3*u + 4. Let y be m(-3). Let c be 9360/55 + (-4)/y. Suppose 5*d - c = -5*k, 5*d = -3*k + 5*k - 96. Is k a composite number? True Let h(f) = 9*f**2 + 3*f + 1. Let k be h(-3). Let b = 138 - k. Is b a prime number? False Suppose 4*s + 9567 = m, -2*m + 4*s - 8*s + 19074 = 0. Is m a composite number? False Suppose 502*y - 12061 = 495*y. Is y a prime number? True Suppose 5*m = b + 15, b + 5*m - 35 = -2*b. Suppose 3*y + 382 = b*y. Is y prime? True Is 391557/(-94)*(-4)/6 a composite number? False Let g(u) = u**3 - 5*u**2 + 7*u - 4. Let h be g(4). Suppose 0 = h*j - 2981 - 75. Is j prime? False Is (-89094)/(-5) - 25/(-125) a prime number? False Is 1 - ((-22)/(-99) + (-2272)/18) prime? True Let t be (-2254)/(-35)*3*5. Suppose 7*x - x = t. Is x prime? False Let v be (-6)/(-4) - 5357/(-2). Suppose -2565 = -5*u + v. Is u composite? False Let o(r) = r**2 + 8*r - 14. Let s be o(-10). Suppose 7*k = s*k - 18. Let l = 19 - k. Is l a composite number? False Let j = 30844 - 18609. Is j composite? True Suppose t + 11 = -4*g, -5*t + 5*g + 41 = g. Let x(h) = 469*h + 26. Is x(t) a prime number? True Is 4/(-18) - 1265545/(-45) a prime number? True Let w = -21 + 31. Let x(g) = 2*g**2 - 7*g - 33. Is x(w) a prime number? True Let c be (503*-1)/(5 - (-126)/(-24)). Suppose u - 1782 = 5*x - 6819, 0 = -2*x - u + c. Is x a prime number? False Suppose 4*s - 4558 = -2*x, 7*s = 2*x + 12*s - 4557. Is x prime? True Suppose -3*j - 4
{ "pile_set_name": "DM Mathematics" }
+ 123*c**2/7 - 3132*c/7. -c*(c - 87)*(c - 36)/7 Factor 6100*l**2 - 24*l. 4*l*(1525*l - 6) Factor -g**2 + 23893*g. -g*(g - 23893) Let -3*f**3 - 75303*f**2 - 225888*f - 150588 = 0. Calculate f. -25098, -2, -1 What is l in l**4/5 - 169*l**3/5 + 715*l**2 - 2755*l = 0? 0, 5, 19, 145 Find m, given that -m**2/4 + 153*m/4 + 1267 = 0. -28, 181 Factor -z**2/4 - 779*z/4 - 73775/2. -(z + 325)*(z + 454)/4 Find w, given that -2*w**3/7 + 836*w**2/7 + 1714*w + 6048 = 0. -7, 432 Factor -o**3/4 - 32719*o**2/2 + o/4 + 32719/2. -(o - 1)*(o + 1)*(o + 65438)/4 Factor 2*d**4/11 - 96*d**3/11 - 306*d**2/11. 2*d**2*(d - 51)*(d + 3)/11 What is l in l**5/7 - 40*l**4/7 + 265*l**3/7 - 270*l**2/7 - 576*l/7 = 0? -1, 0, 3, 6, 32 Suppose 2*i**3/7 + 314*i**2/7 - 11162*i/7 + 10846/7 = 0. What is i? -187, 1, 29 Suppose 21*x**3 - 6999*x**2 + 1998*x = 0. What is x? 0, 2/7, 333 Suppose -2*m**3/23 - 3832*m**2/23 + 30752*m/23 - 61568/23 = 0. Calculate m. -1924, 4 Determine t so that -3*t**3 - 255*t**2 - 3834*t - 14472 = 0. -67, -12, -6 Find n, given that 2*n**4/13 + 1850*n**3/13 - 1862*n**2/13 - 9266*n/13 - 5556/13 = 0. -926, -1, 3 Determine r, given that -5*r**2/4 - 7360*r = 0. -5888, 0 Determine h, given that 2*h**2/3 + 230*h/3 - 34000/3 = 0. -200, 85 Determine a so that 2*a**3 + 2730*a**2 - 10944*a + 10952 = 0. -1369, 2 Determine u so that 4*u**2/7 - 9416*u/7 + 5541316/7 = 0. 1177 Factor -b**2 + 88579*b - 354300. -(b - 88575)*(b - 4) What is x in -4*x**4 + 300*x**3 - 4984*x**2 - 23664*x - 24928 = 0? -2, 38, 41 Let 18*u**4/7 - 806*u**3/7 + 6570*u**2/7 + 8250*u + 12500/7 = 0. Calculate u. -5, -2/9, 25 Suppose f**5/5 - 28*f**4/5 - 27*f**3 + 214*f**2/5 + 64*f = 0. What is f? -5, -1, 0, 2, 32 Find l such that -5*l**5 + 455*l**4 + 1925*l**3 - 2375*l**2 = 0. -5, 0, 1, 95 Determine v so that 27*v**4 + 2394*v**3 + 48747*v**2 - 68220*v + 23100 = 0. -55, -35, 2/3 Factor 2*x**2/5 - 532*x/5 + 31146/5. 2*(x - 179)*(x - 87)/5 What is p in -p**5/7 - 1061*p**4/7 - 25072*p**3/7 - 191288*p**2/7 - 498160*p/7 - 414800/7 = 0? -1037, -10, -2 What is r in 9*r**4 - 222*r**3 - 576*r**2 + 222*r + 567 = 0? -7/3, -1, 1, 27 Factor -339488*m**3/11 + 1648*m**2/11 - 2*m/11. -2*m*(412*m - 1)**2/11 Solve 36*w**2 - 58288*w + 6476 = 0. 1/9, 1619 Find f such that -2*f**2/11 + 2383748*f/11 - 710281815938/11 = 0. 595937 Factor -q**4/5 + 9*q**3/5 + 66*q**2/5 + 56*q/5. -q*(q - 14)*(q + 1)*(q + 4)/5 Factor d**3 + 25481*d**2 - d - 25481. (d - 1)*(d + 1)*(d + 25481) Let -1078*r**5 - 18522*r**4 - 32658*r**3 + 39218*r**2 - 1800*r - 1800 = 0. What is r? -15, -3, -2/11, 2/7, 5/7 Determine a so that -45*a**4 - 3795*a**3 - 77540*a**2 - 98380*a - 32240 = 0. -52, -31, -2/3 Factor -12*z**3 - 134*z**2 + 454*z - 308. -2*(z - 1)*(z + 14)*(6*z - 11) Determine m so that -2*m**3/3 - 232*m**2/3 + 157322*m/3 + 157552/3 = 0. -344, -1, 229 Determine b, given that -3*b**3/2 - 1224*b**2 + 22215*b/2 - 24750 = 0. -825, 4, 5 Solve -d**2/2 - 48452*d - 96902 = 0. -96902, -2 Suppose -4*d**4 + 128296*d**3 - 1028613172*d**2 - 2057611248*d - 1028869776 = 0. What is d? -1, 16038 Factor v**2/3 + 11344*v/3 + 15120. (v + 4)*(v + 11340)/3 Factor y**3 + 326*y**2 - y - 326. (y - 1)*(y + 1)*(y + 326) Find w such that -2*w**4/7 + 6*w**3 + 1552*w**2/7 - 48480*w/7 + 332800/7 = 0. -32, 13, 20 Find z, given that -z**2/3 - 297*z - 113498/3 = 0. -737, -154 Suppose -j**2/3 - 1064536*j/3 - 283309223824/3 = 0. Calculate j. -532268 Factor -2042041*h**3/5 - 144967763*h**2/5 + 1217472*h/5 - 2556/5. -(h + 71)*(1429*h - 6)**2/5 Factor -s**4/4 + 295591*s**3/4 - 29124482697*s**2/4 + 956515968107525*s/4 + 956574218255291/2. -(s - 98531)**3*(s + 2)/4 Factor -5*x**4 - 390*x**3 + 2235*x**2 + 13460*x + 14940. -5*(x - 9)*(x + 2)**2*(x + 83) Factor -5*k**3 + 38320*k**2 - 69645345*k - 14650262550. -5*(k - 3927)**2*(k + 190) Let -2*t**4/11 + 379616*t**3/11 - 18012779184*t**2/11 - 72055
{ "pile_set_name": "DM Mathematics" }
pose -85 + 4 = -v*h - 3*k, 3*k - 106 = -4*h. Suppose -r + 33 = -h. What is the units digit of r? 8 Let y(l) be the first derivative of l**5/60 + l**4/4 + 7*l**3/6 - l**2 - 10. Let p(k) be the second derivative of y(k). What is the units digit of p(-9)? 4 Let y(x) = 3*x**3 - 2*x**2 + x. Let v be y(1). Suppose 0*i = -v*i. Suppose -2*d + d - 2*h + 27 = i, 81 = 3*d + h. What is the tens digit of d? 2 Suppose 8*m + 4*n - 33 = 7*m, 5*m - 3*n - 257 = 0. Let b = 4 + m. What is the tens digit of b? 5 Suppose 3*u - 4*y - 2925 = 0, -19*y = -3*u - 18*y + 2925. What is the hundreds digit of u? 9 Suppose 5*j = -10, 3*j - 90 = -x + 1162. Suppose -8*d + x + 262 = 0. What is the hundreds digit of d? 1 Let z = 1058 + -668. What is the tens digit of z? 9 Suppose 0 = -2*p + 2*l, 3*l - 12 = 2*p - 3*p. Suppose 0 = 2*v + p*v. Suppose v = 4*w - 4*o - 100, 0 = -2*w - 0*w + 5*o + 53. What is the tens digit of w? 2 Suppose -r + 30 = r. Suppose -17*v + r*v + 242 = 0. What is the tens digit of v? 2 Let u be (-698)/6 - (-16)/48. Let s = -75 - u. Suppose 0*w + s = w. What is the units digit of w? 1 Suppose -12*a + 0*a - 108 = 0. What is the units digit of 2*133 - (0 + 13 + a)? 2 Let k = 725 - 242. What is the units digit of k? 3 Let n(t) be the first derivative of t**2 - 8*t + 8. Let q be n(7). Suppose 176 = -2*x + q*x. What is the tens digit of x? 4 Suppose 33 = 3*x - 3*v, 2*x - x + 1 = -2*v. Let c(d) = -17*d**2 + 16*d**2 + x*d - 6 + 3*d. What is the tens digit of c(6)? 1 What is the hundreds digit of (2 + (-6)/6)*(-5 + 2814)? 8 Let i(b) = -b**2 - 4*b + 1. Let g be i(-3). Suppose -c + 60 = c + a, 116 = g*c + 3*a. Suppose -l + 5*x = -16, 4*x = l + 3*x - c. What is the units digit of l? 6 Let n(r) = 356*r**2 + 6*r + 6. What is the units digit of n(-1)? 6 What is the units digit of 2/(-3) - 0 - 117964/(-231)? 0 Suppose -9*o = -42*o + 24585. What is the units digit of o? 5 Let d = -23 - -28. Suppose -6 = -d*a - 56. What is the units digit of (1 + 6)/(a/(-100))? 0 Let d be 1/(4/(-684)*-3). What is the tens digit of d/4*(-12)/(-9)? 1 Suppose -5*j + 388 = 4*i - 1215, -5*i - 338 = -j. What is the hundreds digit of j? 3 Let m(v) be the third derivative of v**5/12 + v**4/8 + v**3/2 - 5*v**2. Let f be m(-3). Let q = -12 + f. What is the tens digit of q? 2 Suppose -3*r + 0 = 5*a - 7, 2*r = 3*a - 8. Suppose -5*g - 44 = -5*d + 21, a*g = 4*d - 44. What is the units digit of d? 9 Suppose -12 = -3*k - k. Let h be 67 + 0 - (1 - k). Suppose 4*c - h - 111 = 0. What is the tens digit of c? 4 Let j = -14 + 97. Let t = j + -19. What is the units digit of t? 4 Suppose -3 = 4*n + 1. Let y(m) = -m**2 - 3*m. Let u(g) = g**2 + g. Let r(w) = 6*u(w) + 2*y(w). What is the units digit of r(n)? 4 Let o = -163 + -182. What is the units digit of o/(-5) + -6 - (3 - 1)? 1 Suppose 0 = 86*w - 1984 - 219810. What is the units digit of w? 9 Let y(v) = 2*v - 26. Let n be y(11). Let m(x) = -x + 15. What is the units digit of m(n)? 9 Suppose 0*i = 3*i - 729. Let k = -71 + i. What is the hundreds digit of k? 1 Let l be -3 - -8*36/(-8). Let i = 67 + l. What is the tens digit of i? 2 Suppose -n - 4*w + 39 = -295, -n + 325 = -5*w. What is the tens digit of n? 3 Let i be 2/(-4)*1*8. Let x(a) = -47*a - 16. Let j(q) = -31*q - 11. Let v(c) = 8*j(c) - 5*x(c). What is the units digit of v(i)? 4 Let r = 5 - 13. Let z = 12 + r. What is the units digit of z? 4 Let a be (-6)/12 - 7/2. Let c = a + 9. Suppose -c*u = -0*s - 5*s + 35, -2*s = -4*u - 18. What is the units digit of s? 5 Suppose -3*p = -5*r + 3945, 0 = -r + 3*r - p - 1579. Suppose 5*o + 92 - r = 0. Suppose f + 5*b - o = -4*f, -2*f + 47 = 5*b. What is the tens digit of f? 3 Let z be (-12)/(-5) + 6/(-15). Suppose -p - z + 6 = 0. What is the units digit of 2 - (-16 + (p - 1))? 5 Let y = -2 + -6. Let j be (-3)/(1/(y/(-12))). What is the tens digit of (-322)/(-9) + j/(-9)? 3 Suppose 0 = -8*o + 19490 - 722. What is the thousands digit of o? 2 Suppose 0 = 61*w + w - 290284. What is the units digit of w? 2 Let t = -1037 + 1468. What is the hundreds digit of t? 4 Let l(w) = 19*w**2 + 7*w + 9. What is the units digit of l(-3)? 9 Let y(l) = 2*l**2 + l + 10. Let h be y(5). Let u = 14 + h. What is the units digit of u? 9 Suppose -2*l = 2*l + 4. What is the tens digit of (9 - l) + 1*4? 1 Suppose -2*j + 22 = 96. Let g = 1108 + -1171. Let s = j - g. What is the tens digit of s? 2 Let h be (-8)/4*(2 - 4). Suppose -6*z = -2 - h. What is the units digit of z? 1 Let k = -5439 + 8908. What is the units digit of k? 9 Let i = -10 - -37. Let h = 42 - i. What is the units digit of h? 5 Let v = 49 + -45. Suppose -3*t = v*j - 498, -2*j + j = -3. What is the units digit of t? 2 Let u(i) = -41*i + 8. Let t be u(-
{ "pile_set_name": "DM Mathematics" }
cked without replacement from iddmvrd? 1/42 What is prob of sequence jow when three letters picked without replacement from jbowowjvk? 1/63 What is prob of sequence ib when two letters picked without replacement from {z: 1, b: 2, h: 3, f: 1, i: 3}? 1/15 Three letters picked without replacement from {n: 8, b: 5}. What is prob of sequence bbn? 40/429 Calculate prob of sequence ht when two letters picked without replacement from hhhbhtqqhsqhhjsth. 1/17 Calculate prob of sequence eei when three letters picked without replacement from qeyyiiyeeeeq. 1/33 Four letters picked without replacement from {r: 8, l: 2, c: 2, m: 5, j: 2}. Give prob of sequence rclm. 5/2907 Calculate prob of sequence pmy when three letters picked without replacement from mmmmddpdxysx. 1/330 Three letters picked without replacement from {s: 1, f: 1, e: 3, g: 6, z: 1}. Give prob of sequence fzs. 1/1320 Four letters picked without replacement from biiibiibbiiiij. Give prob of sequence ibbi. 36/1001 Two letters picked without replacement from erririire. Give prob of sequence er. 1/9 Two letters picked without replacement from {j: 5, l: 3, w: 1, i: 1, f: 1, p: 1}. What is prob of sequence lp? 1/44 Calculate prob of sequence iyxq when four letters picked without replacement from {y: 1, x: 1, q: 1, m: 5, i: 4}. 1/2970 Three letters picked without replacement from {f: 1, d: 10, n: 1, l: 3}. What is prob of sequence lll? 1/455 Calculate prob of sequence dddh when four letters picked without replacement from {d: 5, k: 7, h: 2}. 5/1001 What is prob of sequence jn when two letters picked without replacement from {s: 8, n: 1, j: 6}? 1/35 Calculate prob of sequence ym when two letters picked without replacement from yuum. 1/12 What is prob of sequence aa when two letters picked without replacement from xazzoazxzaaoggxaxoz? 10/171 What is prob of sequence lkkh when four letters picked without replacement from {k: 3, j: 1, v: 1, h: 1, l: 2, q: 3}? 1/660 Calculate prob of sequence vzzz when four letters picked without replacement from {v: 6, z: 12}. 11/102 Two letters picked without replacement from yxzzy. What is prob of sequence zy? 1/5 Three letters picked without replacement from {x: 2, p: 2, u: 2, e: 1, i: 4, d: 4}. Give prob of sequence ppd. 4/1365 What is prob of sequence yj when two letters picked without replacement from {c: 1, d: 2, m: 1, j: 3, y: 3, f: 2}? 3/44 Two letters picked without replacement from {r: 6, b: 3, n: 1, o: 4}. Give prob of sequence br. 9/91 Three letters picked without replacement from ppmpmmm. What is prob of sequence mmm? 4/35 Four letters picked without replacement from {u: 1, q: 7, b: 1, s: 2, j: 1, l: 2}. What is prob of sequence ssll? 1/6006 Four letters picked without replacement from hpehwpew. What is prob of sequence hpwe? 1/105 What is prob of sequence zzo when three letters picked without replacement from zomzzzmmozzmm? 5/143 Calculate prob of sequence www when three letters picked without replacement from wwgw. 1/4 Four letters picked without replacement from cvdcvg. Give prob of sequence dvcc. 1/90 Calculate prob of sequence tg when two letters picked without replacement from gagvvtxvvgaauauvu. 3/272 Three letters picked without replacement from kayooyyeomoaaakykko. Give prob of sequence mae. 2/2907 What is prob of sequence frf when three letters picked without replacement from ffffffrffrffffr? 66/455 What is prob of sequence gbaa when four letters picked without replacement from abbdabbmagabdcm? 1/546 Calculate prob of sequence tb when two letters picked without replacement from bbttu. 1/5 Four letters picked without replacement from jxxxxxjxxxjxxjxxxxjx. What is prob of sequence xxxx? 91/323 Three letters picked without replacement from {c: 7, b: 6}. Give prob of sequence ccb. 21/143 Calculate prob of sequence xww when three letters picked without replacement from {n: 2, p: 9, x: 3, w: 3}. 3/680 Four letters picked without replacement from mtccrbzmccrzmbmrbbcr. Give prob of sequence tccz. 1/2907 Calculate prob of sequence dv when two letters picked without replacement from {v: 1, d: 2}. 1/3 Four letters picked without replacement from iiiiiiih. Give prob of sequence iiii. 1/2 What is prob of sequence hzzh when four letters picked without replacement from {z: 3, h: 4}? 3/35 Four letters picked without replacement from mxumuufmuwwxww. Give prob of sequence uxxw. 4/3003 Two letters picked without replacement from gghhgghggnh. Give prob of sequence gg. 3/11 Calculate prob of sequence ehtr when four letters picked without replacement from enreteeenetrthnnh. 3/2380 Three letters picked without replacement from {i: 4, e: 1, k: 3}. What is prob of sequence kii? 3/28 Three letters picked without replacement from {h: 3, e: 3, u: 2}. What is prob of sequence uee? 1/28 Four letters picked without replacement from {w: 4, q: 1, p: 3, e: 1, g: 1, f: 2}. Give prob of sequence qwge. 1/2970 Four letters picked without replacement from kkrdkkddkd. Give prob of sequence kdkk. 1/21 Two letters picked without replacement from {l: 1, s: 3, t: 6, j: 3, y: 5, e: 1}. Give prob of sequence se. 1/114 Two letters picked without replacement from {s: 2, o: 1, r: 2, a: 2, u: 1, v: 1}. Give prob of sequence or. 1/36 What is prob of sequence ul when two letters picked without replacement from uuuuluuuuuuuuuuuuu? 1/18 What is prob of sequence ip when two letters picked without replacement from iiypkypipy? 1/10 Three letters picked without replacement from fffffffff. Give prob of sequence fff. 1 What is prob of sequence gy when two letters picked without replacement from {g: 3, h: 7, y: 2, u: 3}? 1/35 Calculate prob of sequence qq when two letters picked without replacement from {q: 2, w: 3, p: 1, g: 1}. 1/21 What is prob of sequence wgg when three letters picked without replacement from {w: 3, g: 9}? 9/55 Three letters picked without replacement from {x: 3, q: 2, f: 1, s: 1}. What is prob of sequence fqs? 1/105 Four letters picked without replacement from {n: 4, w: 2, u: 3, v: 1}. Give prob of sequence uwuw. 1/420 Calculate prob of sequence sr when two letters picked without replacement from {e: 1, o: 1, r: 1, s: 8, x: 2, i: 2}. 4/105 Four letters picked without replacement from pppptappptaa. Give prob of sequence tptt. 0 Three letters picked without replacement from yuwuueyyququjq. Give prob of sequence qwe. 1/728 Two letters picked without replacement from qrdrqrrrriodqr. What is prob of sequence or? 1/26 What is prob of sequence klkk when four letters picked without replacement from {s: 1, q: 1, k: 4, u: 3, l: 5, t: 1}? 1/273 Two letters picked without replacement from {w: 7, b: 7}. Give prob of sequence bw. 7/26 Two letters picked without replacement from waffsqg. What is prob of sequence fq? 1/21 Calculate prob of sequence dg when two letters picked without replacement
{ "pile_set_name": "DM Mathematics" }
8 = p*z + i - 0*i, -3*z + 5*i = -148. Is z a composite number? True Let g(x) = -27*x**3 - 4*x**2 - 4*x - 3. Is g(-2) a prime number? False Let d = 15 + -86. Let u = -20 - d. Is u a prime number? False Let o(w) be the second derivative of -17*w**3/6 + w**2/2 - 10*w. Is o(-6) a prime number? True Suppose 6*m + 151 = 7*m. Let o = 363 - m. Is -2 + 1 + 1*o composite? False Suppose -y + 1 = 0, 3*u = u - 5*y + 11. Suppose 1 = -2*n + u*n, -5*n - 61 = -3*a. Is a a prime number? False Let l(p) = -2*p**3 - 9*p**2 - 6*p + 5. Is l(-6) prime? True Let d be (-4)/(-6) - (-8)/(-12). Suppose -m = -d*m - 145. Is m prime? False Let g = -9 - -11. Suppose g*w - 3*a - 139 = 0, -w - 379 = -6*w - 3*a. Is w composite? True Let c = -1109 + 2196. Is c composite? False Suppose 448 = w - 5*p, w + 2*w - 1439 = -4*p. Is w prime? False Let l be (-4)/(-6) - (-4398)/(-9). Let o = -297 - l. Is o a prime number? True Suppose 0 = 2*q + 10, -5*a + 41 + 184 = 4*q. Is a composite? True Let y = 1 + -1. Suppose 4 = -y*l - l. Is 98*((-10)/l - 2) prime? False Let c be (-3)/2 - (-302)/4. Suppose -c = -2*y + 28. Is y composite? True Suppose -11357 = -4*d + 23111. Is d a prime number? False Let g be 0 + 0*(-4)/(-8). Suppose -5*v - 2*q + 3167 = g, -4*v + 5*q - 1198 = -3758. Is v composite? True Suppose 0 = 4*v + 5*t - 1329, -4*v - 4*t + 1328 = -0*v. Is v prime? True Let n(d) = -d**2 + 9*d - 7. Let b be n(7). Is (-6)/21 - (-520)/b composite? True Suppose 5*g + 3*k - 7217 = 0, -3*k = -5*g + 5189 + 2004. Is g prime? False Let k(l) = l**2 + 2*l - 1. Let t be k(-3). Suppose 5*v = -4*u + 220, -65 + 175 = t*u + 3*v. Is u prime? False Let p = -89 + 130. Let a = -99 - -27. Let t = p - a. Is t composite? False Let s(v) = 5*v - 19. Is s(14) composite? True Let k(t) = 7*t**2 + 2*t + 5. Is k(-3) composite? True Let x(q) = -q**3 + q**2 - 4*q - 3. Let b be x(-7). Let s be 2/(-1 - b/(-423)). Is (s/2)/((-4)/8) composite? True Suppose -889 = -4*v + 3*a, -3*a + 0*a = -2*v + 443. Is v composite? False Let y(a) = -10*a + 4. Let q(p) = 0*p + 2*p - 3*p - 1. Let l(b) = 5*q(b) - y(b). Is l(8) prime? True Let b = -1014 + 1579. Is b composite? True Let w = 16 - 11. Let g(q) = -q**2 + 10*q - 3. Is g(w) a prime number? False Let z = 9 - 9. Let l(x) be the second derivative of x**4/12 - x**3/6 + 35*x**2/2 + x. Is l(z) a prime number? False Suppose 5*y - 3*y + 2*c - 108 = 0, -y + 5*c + 30 = 0. Let j = -101 + y. Is (-2)/(-4) + j/(-6) a prime number? False Let l = -1 - -4. Is (-5 + l)*(-67)/2 a prime number? True Suppose -5*v + 9 = -36. Let y be 6/v - (-26)/6. Suppose -3*n = 3*t - 210, -t - t + 149 = y*n. Is t composite? False Suppose -227 = -5*o - 62. Is o composite? True Suppose -25 = 5*s, -2*g + 4*g + 5*s + 15 = 0. Suppose -g*b - 75 + 265 = 0. Is b composite? True Is 4*1 + (6 - -193) composite? True Suppose -4*g - 2 = 2, -2*p - 4*g = -586. Is p prime? False Let t(j) = j**3 - j + 53. Let g = 5 - 3. Let w = 2 - g. Is t(w) prime? True Let w be (-78)/10 - 1/5. Let u(d) = -10*d - 3. Is u(w) composite? True Let t = -572 - -831. Is t a composite number? True Let o = -1 - -5. Suppose -3*q + 4*n = -13, -3*q - 3*n + o = 2*n. Suppose -q*p + 23 + 76 = 0. Is p a composite number? True Is ((-2)/2)/((-9)/1251) a composite number? False Let d = -15 + 18. Let p(q) = 7*q**2 - 2*q - 4. Is p(d) a prime number? True Let x be (-10 + 1)*14/(-3). Suppose 44 = -3*g + 329. Let v = g - x. Is v prime? True Suppose 38 + 11 = 7*h. Let b = 1293 + -548. Suppose 2*n - h*n = -b. Is n a composite number? False Let z(c) be the third derivative of -c**6/15 - c**5/15 + c**4/24 - c**3/6 + 3*c**2. Let m be z(-4). Is (-8)/(-20) - m/(-5) a composite number? False Let r(n) = -4*n + 2. Let i be r(-4). Let v = 28 + i. Is v prime? False Is 1/(3/(-907)*2/(-6)) composite? False Is ((-21033)/108)/((-2)/8) composite? True Is 1 + (3206/2 - 1) composite? True Let m(b) = -35*b - 22. Suppose 2*w - 5*i = -34, 3*i = 2*w - 0 + 26. Is m(w) a prime number? True Let l(z) = 26*z**2 + 2*z - 4. Let o be l(3). Suppose 3*d + d - o = -4*h, -3*h = -d + 59. Is d composite? False Suppose -z = 2*j - 285, 0*j - 5*z + 573 = 4*j. Is j a prime number? False Suppose -4 = -i, -111 = -y - 2*i - 3*i. Is y prime? False Suppose 17 + 1 = j. Is (-4)/(-18) - (-5270)/j a composite number? False Suppose 2*i + 0*i - 4 = 0. Suppose i*w = -d - 124, -4*d + 0*d - 118 = 2*w. Is w/(-6) + 2/4 composite? False Suppose 2*t - b = 15, -13 = -4*t - 5*b - 4. Is (-658)/(-4) - t/4 composite? False Is 1564 + -1 + -6 + 10 a prime number? True Let f(
{ "pile_set_name": "DM Mathematics" }
655 Calculate 0 divided by -6553076. 0 4469172 divided by -6 -744862 Calculate -11367161 divided by -13. 874397 Calculate 13915384 divided by -48. -1739423/6 26674620 divided by 6668655 4 Divide 10632354 by 18. 1772059/3 Calculate 3626691 divided by 1208897. 3 Divide 87 by -8137. -87/8137 1238 divided by 63106 619/31553 7 divided by -1966384 -1/280912 Divide -2847669 by -15. 949223/5 Divide -24251253 by 361959. -67 Divide 147516 by -121. -147516/121 -139 divided by -728245 139/728245 433751532 divided by 447628 969 -107218504 divided by 1 -107218504 Divide -5209050 by -4235. 1230 -758 divided by -1287 758/1287 What is -79922557 divided by 1937? -41261 -34330842 divided by -11443614 3 33589308 divided by 734 45762 What is -831 divided by -436039? 831/436039 1 divided by 4480754 1/4480754 Calculate -14000295 divided by -1. 14000295 -859586262 divided by 6 -143264377 Divide 366753 by 410. 366753/410 Calculate 127692238 divided by -6. -63846119/3 Calculate -26486816 divided by 136. -194756 -1471747 divided by 10 -1471747/10 What is 240282 divided by -10? -120141/5 -15688128 divided by 202 -77664 -3262 divided by 17415 -3262/17415 Calculate -12653245 divided by -11. 1150295 -255 divided by -3248502 85/1082834 What is 15627372 divided by -6? -2604562 Divide 290016098 by -4677679. -62 1676709 divided by 186301 9 Calculate -4834776 divided by 12. -402898 Calculate 327285279 divided by 36365031. 9 Calculate 16338178 divided by -6. -8169089/3 Divide -51293852 by 5. -51293852/5 What is -45379 divided by 2409? -45379/2409 What is -4773871 divided by -39? 4773871/39 Calculate -1063610160 divided by 212722032. -5 Divide -31624695 by 15. -2108313 What is 49818300 divided by -830305? -60 Divide 12 by 8925993. 4/2975331 What is -3 divided by 4274856? -1/1424952 Divide -2 by -7781515. 2/7781515 -36384048 divided by 4 -9096012 -7108830 divided by -31455 226 -60609600 divided by -720 84180 Calculate -213021242 divided by 26621. -8002 What is -348293576 divided by -3? 348293576/3 What is 492970 divided by -1069? -492970/1069 2550900 divided by 115950 22 What is -10687775 divided by -35? 305365 -7990908 divided by -1 7990908 What is 6042 divided by 7576? 3021/3788 What is -1303157 divided by 22? -1303157/22 0 divided by -78912547 0 Divide 58 by 6449556. 29/3224778 Divide 635400 by -1. -635400 Calculate -3 divided by -702521. 3/702521 Divide -8182026 by 151519. -54 What is -674819970 divided by 5? -134963994 Calculate -123 divided by -3426012. 41/1142004 Calculate -4289750 divided by -2144875. 2 2 divided by -8863855 -2/8863855 Divide 182631852 by -4935996. -37 What is 1033 divided by -322063? -1033/322063 -3016202 divided by 2 -1508101 56551101 divided by -18850367 -3 216934848 divided by 415584 522 What is 41901 divided by 117? 13967/39 What is -139972440 divided by -5832185? 24 10153312 divided by -634582 -16 What is 8749440 divided by -13671? -640 Divide 519 by 1265. 519/1265 -5 divided by -1467948 5/1467948 Calculate 1043 divided by -7130. -1043/7130 What is 11090284 divided by -3? -11090284/3 What is -64116042 divided by -64116042? 1 Calculate 8 divided by -23358079. -8/23358079 Divide -32497005 by 5. -6499401 Calculate -3 divided by -2832103. 3/2832103 -108311904 divided by -7776 13929 What is 30596308 divided by -4? -7649077 -185600 divided by -7174 92800/3587 Divide -85099 by 777. -12157/111 What is -3605056 divided by -138656? 26 1518 divided by 3037 1518/3037 Divide 425473 by -1. -425473 -1544474 divided by 9 -1544474/9 Divide -11167426 by 11. -11167426/11 What is 1016012772 divided by -1969017? -516 Divide -68164092 by -11360682. 6 What is 1552457228 divided by 2? 776228614 Divide -61 by 316106. -61/316106 Divide -167994491 by -8. 167994491/8 181391481 divided by -2239401 -81 Divide -21287854 by -217223. 98 Calculate -103970268 divided by 25992567. -4 What is 1100 divided by -13196? -275/3299 Calculate -514320810 divided by -1302078. 395 5434320 divided by -5 -1086864 Divide -9064447 by -10. 9064447/10 Calculate -64823820 divided by 1212. -53485 Calculate 2201715 divided by 47. 46845 What is 2239 divided by -48856? -2239/48856 Divide -1803 by -539. 1803/539 -2 divided by 5121 -2/5121 Divide 7769290 by 408910. 19 -105296358 divided by 75158 -1401 Calculate 150098 divided by 22. 75049/11 Calculate 76963488 divided by -48. -1603406 Divide 174537954 by 262069. 666 Calculate -90697782 divided by 2159471. -42 118946577 divided by 1 118946577 Calculate -157 divided by 92393. -157/92393 Calculate 247 divided by -4864. -13/256 121730 divided by 1645 74 Divide 161310420 by -4480845. -36 Divide 32638872 by 2422. 13476 What is -4273902 divided by -1424634? 3 Divide 890198 by 6269. 142 What is -470850 divided by 6278? -75 Divide 152015938 by 2. 76007969 -16846038 divided by 9 -1871782 17 divided by 4602476 17/4602476 -6610272 divided by 32 -206571 Calculate -4 divided by 1191872. -1/297968 Divide 3 by -115249785. -1/38416595 What is 43 divided by 535941? 43/535941 What is -14261156 divided by -14? 1018654 54999364 divided by -6 -27499682/3 2333370 divided by 2333370 1 Divide 280401262 by 74141. 3782 What is -89 divided by
{ "pile_set_name": "DM Mathematics" }
+ 3*u**4 + 0*u**2 + 3/2*u**3 + y*u = 0. Calculate u. -1, 0 Suppose 0 = -347*n + 344*n + 4*c - 16, -3*n + 2*c = 2. Let i(j) be the first derivative of 12*j**4 + n*j - 3 + 16/5*j**5 + 12*j**2 + 52/3*j**3. Factor i(l). 4*(l + 1)**2*(2*l + 1)**2 Let r(v) be the first derivative of 3*v**4/28 - 155*v**3/7 - 711*v**2/7 - 525. Factor r(h). 3*h*(h - 158)*(h + 3)/7 Let h(a) = 5*a**2 - 31*a - 178. Let s(p) = 43*p**2 - 248*p - 1421. Let g(k) = -17*h(k) + 2*s(k). Suppose g(y) = 0. What is y? -23, -8 Let m(b) be the second derivative of 5*b**6/8 - 201*b**5/4 - 102*b**4 - 82*b**3 - 35*b**2 - 2*b + 13. Let d(r) be the first derivative of m(r). Factor d(t). 3*(t - 41)*(5*t + 2)**2 Let k = -293 - -605. Solve -7*d**2 + d**2 + k*d + 3*d**2 + 1536 - 9648 = 0 for d. 52 Solve 8*n**2 - 2505 - 181*n + 11*n**2 - 35*n**2 + 15*n**2 + 687*n = 0. 5, 501 Let t be ((-15)/(-9))/(10*(-11)/(-4950)). Let n be ((-88)/20 + 4)*t/(-105). Let 6*w + 36/7 + 16/7*w**2 + n*w**3 = 0. Calculate w. -3, -2 Suppose -2*y - 2*g + 89 - 65 = 0, -2*y + 4*g - 36 = 0. What is j in 10/3*j**4 - 10/3*j**y - 4/3*j**3 + 0 + 4/3*j = 0? -1, 0, 2/5, 1 Let j be 2/(5291/1760 + (-4 - -1)). Let u be (0 - -12)*4*10/j. Factor -u*f**3 - f**2 + 0*f + 1/2*f**5 + 0 + 0*f**4. f**2*(f - 2)*(f + 1)**2/2 Let v(h) = -h**3 + 16*h**2 + 56*h - 92. Let w(d) = d**2 - d. Let f(o) = v(o) - 4*w(o). Let s(z) be the first derivative of f(z). Factor s(t). -3*(t - 10)*(t + 2) Let h(o) be the third derivative of o**6/90 - 16*o**5/45 + 43*o**4/18 + 40*o**3/3 + 2583*o**2. Determine r so that h(r) = 0. -1, 5, 12 Let g(o) = 5*o + 30. Let h(r) = -r. Let b(j) = g(j) + 4*h(j). Let m be b(-26). Suppose w**5 + 60*w**m - w**3 - 60*w**4 = 0. Calculate w. -1, 0, 1 Let r = 2513 + -2511. Let f(w) be the second derivative of 0*w**r + 0 + 1/6*w**4 + 13*w - 1/9*w**3. Factor f(x). 2*x*(3*x - 1)/3 Let z(f) be the first derivative of -7 + 9/2*f**2 - 4/3*f**3 + 5*f. Let x(y) = 10*y**2 - 22*y - 12. Let g(q) = -5*x(q) - 12*z(q). Factor g(t). -2*t*(t - 1) Factor 4/7*h**2 - 610/7 + 174*h. 2*(h + 305)*(2*h - 1)/7 Suppose -3*w - 7*m + 24 = -10*m, -4*m = 4. Solve 31*k - k**3 - w*k - 13*k**3 + 18*k**2 - 8 = 0 for k. -1, 2/7, 2 Let k be (8 + -9 - 0) + -6*(-3)/18. Let i(g) be the second derivative of k + 3*g**5 + 0*g**2 - 32/3*g**4 + 6/5*g**6 + 8*g**3 + g. Find p, given that i(p) = 0. -3, 0, 2/3 Let w(z) be the third derivative of z**6/480 + 23*z**5/30 + 2021*z**4/24 - 4418*z**3/3 + 83*z**2 + 6. Factor w(h). (h - 4)*(h + 94)**2/4 Suppose 23*p - 28 = 37*p. Let i be p/(-4)*(-800)/(-48). Factor 1/3*f**2 + 10/3*f + i. (f + 5)**2/3 Determine k, given that -2 - 75/2*k**3 + 59/2*k**4 + 18*k - 55/2*k**2 + 39/2*k**5 = 0. -2, -1, 2/13, 1/3, 1 Factor -21/5*c + 3/5*c**3 + 0 - 18/5*c**2. 3*c*(c - 7)*(c + 1)/5 Let x = -18 + 29. Let i(s) = 11*s - 32. Let v be i(x). Determine q so that -45 - 32*q - 18*q**2 - 36 + v = 0. -2, 2/9 Let v(b) = 313*b - 13. Let p be v(1). Factor -135*j - 133*j + 80 - 4*j**2 + p*j. -4*(j - 10)*(j + 2) Let d(f) = 11*f**2 - 10 - 36 + 10 + 11*f. Let i(g) = -g**2 - g + 1. Let u(q) = -d(q) - 6*i(q). Factor u(w). -5*(w - 2)*(w + 3) Let f(u) be the third derivative of -u**6/60 + 4*u**5/5 + 36*u**4 - 5*u**2 + 22*u. Determine q, given that f(q) = 0. -12, 0, 36 Suppose -3*m = 4 + 2. Let q be 2*1/(m/(-23)). Solve -c**4 - 132*c**2 - 52*c**3 + q - 19*c**4 - 60*c**3 + 9 - 8*c = 0 for c. -4, -1, 2/5 Let a = -48421/5877 + 11/653. Let r = -890/117 - a. Factor 0 - 4/13*b**4 + r*b - 6/13*b**3 + 2/13*b**5 + 8/13*b**2. 2*b*(b - 2)**2*(b + 1)**2/13 Factor 403*l - 370 + 389*l**2 - 450*l - 390*l**2. -(l + 10)*(l + 37) Let u = -691/2 + 3459/10. Factor u*x**2 + 38/5*x + 36/5. 2*(x + 1)*(x + 18)/5 Suppose 2*l - 3*q = -6*q + 1, l + 2*q = 0. Suppose 3*p - j + 2 = 3*j, -5*p - j + 12 = 0. Factor 11*k**p + 6*k + 5 - 17*k**l + 7*k**2. (k + 1)*(k + 5) Let t(n) be the first derivative of 3/5*n**4 + 0*n**2 + 12/5*n**3 + 243 - 3
{ "pile_set_name": "DM Mathematics" }
ase 9, what is -688 + 5? -683 In base 7, what is 0 - 144? -144 In base 3, what is -1221 + -1220? -10211 In base 13, what is 0 + -40? -40 In base 10, what is -466 - -4? -462 In base 6, what is 131 - -25? 200 In base 4, what is 2323321 + 10? 2323331 In base 8, what is 4 + 47? 53 In base 13, what is -3 + -7b? -81 In base 12, what is 421b + -2? 4219 In base 4, what is 2 - -11033? 11101 In base 15, what is -4 + 391? 38c In base 9, what is -25 + 540? 514 In base 3, what is 2001 - 122? 1102 In base 12, what is -12b3 - 2? -12b5 In base 5, what is -110 - 4? -114 In base 9, what is -164 + 4? -160 In base 14, what is -745 + 0? -745 In base 4, what is 2200131 + -3? 2200122 In base 16, what is -15 - 8? -1d In base 11, what is 14 + -6? 9 In base 2, what is -1000000010 - -1? -1000000001 In base 3, what is 122 + 20212? 21111 In base 16, what is 72 + 3? 75 In base 2, what is 1000000 + 0? 1000000 In base 6, what is 2 - -54? 100 In base 15, what is -8 - 270? -278 In base 15, what is d8 - -3? db In base 14, what is -4 - -438? 434 In base 2, what is -1 - 1001? -1010 In base 7, what is 6 + -33? -24 In base 10, what is -23 + 2? -21 In base 5, what is 1214 + 1021? 2240 In base 15, what is -3 + 1c6? 1c3 In base 13, what is 5 + -26? -21 In base 14, what is 2 + -2a8? -2a6 In base 5, what is -30 - 14? -44 In base 3, what is -1222 + -11100? -20022 In base 9, what is 45 - -30? 75 In base 6, what is 10124 + -1? 10123 In base 7, what is 45 + 12? 60 In base 6, what is 351 - 5? 342 In base 4, what is 201 - -1110? 1311 In base 12, what is 9672 - -2? 9674 In base 12, what is 6b + 8? 77 In base 9, what is 170 - 2? 167 In base 5, what is 1 + -2143? -2142 In base 15, what is 4 - 2954? -2950 In base 10, what is -5 + 930? 925 In base 2, what is 0 - -1000? 1000 In base 14, what is -424 - 0? -424 In base 12, what is 109 - -11? 11a In base 8, what is -5 - 3047? -3054 In base 16, what is 117 - 1? 116 In base 4, what is 21000 + 0? 21000 In base 2, what is -111110 + 1011? -110011 In base 14, what is -4 + 791? 78b In base 12, what is -10 - 1? -11 In base 14, what is 3225 - 4? 3221 In base 16, what is 3 - -23a? 23d In base 9, what is 1176 - 3? 1173 In base 7, what is 3 + 1535? 1541 In base 7, what is 3 + 21? 24 In base 2, what is -10100 + 10100010? 10001110 In base 15, what is 9 - 35? -2b In base 10, what is 33 - 3? 30 In base 3, what is -1021 + 1? -1020 In base 3, what is -10 - 22002? -22012 In base 14, what is 0 + -204? -204 In base 13, what is -127 + -2? -129 In base 5, what is 1 - -110? 111 In base 13, what is -5 - 138? -140 In base 2, what is 1101110 + -1111? 1011111 In base 11, what is -4 + -12? -16 In base 16, what is -8d - 6? -93 In base 10, what is 253 + -5? 248 In base 16, what is -1 - -112c? 112b In base 15, what is -7 + -1e7? -1ee In base 3, what is -10 + 21002222? 21002212 In base 2, what is -1 - 10011110? -10011111 In base 5, what is 10 - -12042? 12102 In base 11, what is 50 - 1a? 31 In base 2, what is 10 - 100110? -100100 In base 6, what is -523 + 1? -522 In base 9, what is -107 + 2? -105 In base 2, what is 11 + 11? 110 In base 9, what is 140 + -4? 135 In base 5, what is 313 + 24? 342 In base 5, what is 14 - -14? 33 In base 12, what is -291b - -1? -291a In base 12, what is 0 - 1379? -1379 In base 8, what is 2 - 1604? -1602 In base 10, what is -3 - 4114? -4117 In base 16, what is 0 + 63? 63 In base 14, what is -c - b0? -bc In base 10, what is 10 + -848? -838 In base 8, what is -173 - 243? -436 In base 7, what is -116 - 142? -261 In base 13, what is -8 + a2? 97 In base 2, what is 101 - -1010011? 1011000 In base 13, what is -9 + 2? -7 In base 5, what is -3 - -22304? 22301 In base 12, what is 3 + -35? -32 In base 14, what is -4 - -25? 21 In base 6, what is -3 + -25045? -25052 In base 8, what is 56 + 7? 65 In base 11, what is 33 + 229? 261 In base 5, what is -123 + 234? 111 In base 7, what is -4 - 203? -210 In base 16, what is -4 + b44? b40 In base 5, what is -121 + -14? -140 In base 10, what is 0 - -1825? 1825 In base 15, what is -a13 + -1? -a14 In base 2, what is 110100 + -1111? 100101 In base 7, what is 30 - 46? -16 In base 10, what is -80 - -1? -79 In base 2, what is -11000010000 + 10? -11000001110 In base 6, what is -3 - 3033? -3040 In base 6, what is -4 + 23? 15 In base 4, what is -21122 + -3? -21131 In base 15, what is 5 + -3e? -39 In base 6, what is 5 + 120? 125 In base 6, what is 5 + -215? -210 In base 8, what is 1640 - 4? 1634 In base 6, what is 10512 - 4? 10504 In base 5, what is -1 - 301? -302 In base 13, what is -c5 - 5? -ca In base 13, what is 0 - 381? -381 In base 5, what is -10 - 114? -124 In base 9, what is -326 - 1? -327 In base 2, what is 111 - -11? 1010 In base 7, what is -5 - -112? 104 In base 7,
{ "pile_set_name": "DM Mathematics" }
, 0 = 5*i + 4*l - 17 for i. 5 Solve -2*d - 18 = 0, -5*u - 4*d - 3 = 43 for u. -2 Solve 3*q + 2*a = -179 + 208, 0 = -5*q - 13*a for q. 13 Solve 182*r + 23 = u + 184*r, -4*u + 2*r - 28 = 0 for u. -1 Solve v = 2*a - 12, -5*v - 51 = 626*a - 627*a for a. 1 Solve -4*r + 693*x + 12 = 691*x, -2*x = 16 for r. -1 Solve -3*f - 7 = 5*j - 48, -368*f + 21 = 3*j - 365*f for j. 10 Solve 5*k - 25 = -5*j, 4*k + 4*j - 19 = k for k. 1 Solve -5*y = -4*x - 44, -3*x - 526*y + 5 = -525*y for x. -1 Solve -2*b = -13*v + 11*v - 18, 3*v + 3 = -5*b for b. 3 Solve 0 = 4*f + 2*i + 28, -9*i + 188 = -2*f + 214 for f. -5 Solve 2*b - k = 3, -4*b + 632*k + 3 = 629*k for b. 3 Solve -a + 3 = -5*p, -4*p + 5*a - 8 = 7 for p. 0 Solve 0 = 3*r - 35*q + 37*q + 2, -3*q + 10 = -2*r for r. -2 Solve -4*k + 30 = -5*r + 2*r, -3*k = 47*r - 46*r + 23 for k. -3 Solve -10*v + 5*v - r - 17 = 0, 0 = -3*v - 4*r - 34 for v. -2 Solve -2*q + 94*c = -1870, -41*c + 85*c - 43*c = 4*q for q. -5 Solve -45 = 3*q + 4*l, -31*q + 33*q + 3*l + 35 = 0 for q. 5 Solve -4*v - f = -17, 15*v + 13*f - 10*f + 13 = 79 for v. 5 Solve -1 = -a + 2*w, -60*w = -63*w for a. 1 Solve 760*o + 5*g = 758*o - 29, 0 = -3*o - 2*g - 60 for o. -22 Solve -4*q + 54*f - 22 = 52*f, f = -q + 2 for q. -3 Solve 8201*o + 2*i - 6 = 8199*o, 0 = 5*o - 3*i + 17 for o. -1 Solve -13*l = -14*l + 5*i + 32, 3*l + i = 16 for l. 7 Solve -38 + 37 = -5*u + 2*n, 0 = -2*u - n - 5 for u. -1 Solve 4*w - 3*v = -7*v + 64, 66 = -4*w + 6*v for w. 3 Solve 2*t = 2, -11*o - 25*t + 23*t = -16*o + 8 for o. 2 Solve 0 = -2*j - 3*s + 47, 2506*j = 2511*j - 2*s + 6 for j. 4 Solve w + 20 = 5*y, 5*y - 20 = 66*w - 62*w for y. 4 Solve 2*i - 26 = -4*d, i + d - 13590 = -13583 for i. 1 Solve -2*h - 4*g - 294 = -300, -8 = 4*h - 2*g for h. -1 Solve -4*o = 3*m + 51, -31*o + 27*o - 2*m = 34 for o. 0 Solve 5*n - 5*p + 40 = 0, 4*n + 4*p + 0*p + 40 = 0 for n. -9 Solve -2*g = 8, -5*g = 4*l - 9*g - 32 for l. 4 Solve 0 = 3*z - 4*d - 25, 103 = -9*z - 5*d + 110 for z. 3 Solve -5*c + 10 = -f, -195*c + 4*f - 26 = -197*c for c. 3 Solve 2*s - 2*m + 41313 - 41319 = 0, 4*s + 2*m = -12 for s. -1 Solve 0 = h + 5*j + 43, -h + 38 = -109*j + 105*j for h. 2 Solve 68*x = 70*x + 4*h - 6, 0 = 3*x - 3*h - 9 for x. 3 Solve 0 = -5*n - 2*y - 28, n - 77 = 5*y - 34 for n. -2 Solve 4*n + 3*u = 46, n - 87*u + 91*u = 5 for n. 13 Solve 0 = -142*b + 143*b - 5, -2*l + 2*b = 14 for l. -2 Solve -2*r - 2 + 6 = 0, 4*a = 4*r - 24 for a. -4 Solve 4*z + 0*y = -y, -z = 411*y - 412*y - 5 for z. 1 Solve 13*v + 27 = 5*c, 69*c - 71*c = -3*v - 2 for v. -4 Solve -73*v + 5*w + 13 = -70*v, 4*w + 7 = -v for v. 1 Solve -946*y - 143 = -948*y + 9*g, -y = 5*g + 71 for y. 4 Solve j = d - 6, -47*d + 5*j + 18 = -45*d for d. 4 Solve 0 = -2*l + 4*f - 18, -l = -156*f + 158*f + 1 for l. -5 Solve -4*a + 280 - 300 = 0, 3*p + a = 1 for p. 2 Solve -s - 23 = -4*y, -84*y - 658*s = -653*s - 93 for y. 2 Solve -3*r - 13 + 28 = 0, -5*g - 5*r + 25 = 0 for g. 0 Solve 498*q - 4*i = 494*q + 4, -2*q - 1 = -5*i for q. 2 Solve 0 = 2*l + 4*d, 19*l - 21*l - 1 = 5*d for l. 2 Solve 37*z - 38*z = 1, -x = -3*z - 1 for x. -2 Solve -p = 5*a, 4*p = -26*a + 30*a + 24 for p. 5 Solve -4*p + 177*v - 1 = 175*v + 7, -2 = -v for p. -1 Solve -5*g + y + 36 = 0, 3*y + 28 = -142*g + 147*g for g. 8 Solve 0 = -g + 3*o - 11, 9913*o = -2*g + 9942*o - 137 for g. 4 Solve -5*x = -3*y - 85 + 137, 0 = 4*x - 5*y + 52 for x. -8 Solve -12*c - 4*v = 20, 2*c - 66*v + 71*v + 12 = 0 for c. -1 Solve 3321*g - 3315*g - 10*z - 46 = 0, 5*g = z - 13 for g. -4 Solve h - 56 = 5*t, -75*h + 2*t = -80*h - 17 for h. 1 Solve 5*o - 2645*p + 2648*p + 11 = 0, 0 = -2*o - 4*p + 4 for o. -4 Solve -11*u - 156*g - 33 = -158*g, -5*g = 2*u - 53 for u. -1 Solve r = -2
{ "pile_set_name": "DM Mathematics" }
the second derivative of z(d) wrt d. -8 Let p be (2/4)/((-14)/140). Let r(u) = 2*u**2 + 5*u - 10. Let o be r(p). Find the first derivative of 15 - 7 - o + c**2 wrt c. 2*c Find the third derivative of -3 + 142*k**3 + 6 + 2*k**2 - 126*k**3 - 1 wrt k. 96 Let s(w) be the second derivative of -4*w**7/21 + w**4/4 + w**3/3 - 4*w**2 - 29*w + 2. Find the second derivative of s(z) wrt z. -160*z**3 + 6 Find the third derivative of 66*u**2 - 128*u**4 + 252*u**4 - 4*u**3 - 2 - 124*u**4 + 8*u**5 wrt u. 480*u**2 - 24 Let j(v) = -4*v + 22. Let i be j(5). Differentiate 8 - 2 + a**i + 2 wrt a. 2*a Let x(m) = -1558*m - 999. Let n(a) = -1039*a - 667. Let p(l) = -8*n(l) + 5*x(l). Differentiate p(s) wrt s. 522 Suppose 0 = -5*k - 7*k - 0*k. Differentiate 27*j - 7 - 3 + k + 18*j with respect to j. 45 Let l be 39*(-5)/45*-3. What is the third derivative of 13 + 6*h**4 - l + 5*h**4 + 7*h**2 wrt h? 264*h Let b(d) = -187*d**3 + 41*d**2 + 6*d + 14. Let f(n) = -375*n**3 + 82*n**2 + 13*n + 30. Let t(k) = -13*b(k) + 6*f(k). Find the third derivative of t(v) wrt v. 1086 Let i = -15 + 17. Let h(t) be the third derivative of 1/6*t**4 + 0*t + 0*t**3 + 1/12*t**5 + i*t**2 + 0. Find the second derivative of h(v) wrt v. 10 Let y(r) = -336*r**4 + 5*r**3 - 266*r - 4. Let m(s) = 336*s**4 - 6*s**3 + 267*s + 5. Let b(i) = -5*m(i) - 6*y(i). What is the second derivative of b(z) wrt z? 4032*z**2 Let u be 19 - (3 + (-4 - 0)). What is the first derivative of 14*f**2 + 13 - f**2 - u wrt f? 26*f Let v(g) be the second derivative of 11*g**3/6 + 3*g**2/2 + 2*g. Let d(j) = 45*j + 12. Let o(b) = -5*d(b) + 21*v(b). Differentiate o(c) with respect to c. 6 Let w(y) = 51*y**4 - 8*y**3 - 4*y**2 + 783*y + 4. Let g(h) = -10*h**4 + h**2 - 1. Let t(s) = -4*g(s) - w(s). What is the second derivative of t(a) wrt a? -132*a**2 + 48*a Let b(q) = -16*q**3 + 2*q**2 + 2*q - 6. Let r(s) = -33*s**3 + 5*s**2 + 5*s - 11. Suppose 6 = -4*j + j. Let z(x) = j*r(x) + 5*b(x). Differentiate z(f) wrt f. -42*f**2 Let v(q) = 2*q**3 - 4*q**2 + 3*q - 2. Let o = -3 - -5. Let a be v(o). Differentiate -8 - 5*x**3 + 4 + a*x**3 with respect to x. -3*x**2 Let w(k) be the first derivative of 0*k**2 - 16/3*k**3 + 12*k + 4. Find the first derivative of w(c) wrt c. -32*c Let l(i) = 471*i**2 + 5*i - 5. Let s be l(2). What is the third derivative of -13*f**2 - 1907*f**3 - 3 + s*f**3 + 0 wrt f? -108 Find the third derivative of -29 + 20*b**2 + 22*b**2 - 7*b**3 + 6 + 3*b**5 - 44*b**2 - 12*b**5 wrt b. -540*b**2 - 42 Let u be -6 + 9 + (0 - 0). Differentiate 16*t**2 + 14*t + 5 + u - 14*t with respect to t. 32*t Let h(b) be the second derivative of b**5/10 + 239*b**4/4 - 187*b**3/3 - 610*b. What is the second derivative of h(m) wrt m? 12*m + 1434 Suppose -49*k + 35*k = 0. Let j(c) be the first derivative of 0*c**4 + 0*c - 5/3*c**6 + k*c**5 + c**3 + 0*c**2 + 11. What is the third derivative of j(s) wrt s? -600*s**2 Let h = 7 - 5. Let q(v) be the first derivative of -3 + 0*v**h + 0*v**3 + 1/5*v**5 + 0*v**4 + 2*v. What is the first derivative of q(x) wrt x? 4*x**3 Let o(m) be the third derivative of -m**7/210 + m**6/60 - 107*m**4/12 + m**2 + 70. Find the second derivative of o(x) wrt x. -12*x**2 + 12*x Let s(k) = 956*k**2 - 344. Let a(o) = 147*o**2 - 53. Let f(j) = -32*a(j) + 5*s(j). Find the first derivative of f(r) wrt r. 152*r Suppose -2*g + 4 + 4 = 0. Find the second derivative of -8*c + 3*c**5 + 12*c**4 - 12*c**g wrt c. 60*c**3 Let y(c) be the second derivative of -38*c + 0*c**4 + 16/21*c**7 + 29/6*c**3 + 0*c**2 + 0*c**5 + 0*c**6 + 0. Find the second derivative of y(f) wrt f. 640*f**3 Let c(o) be the second derivative of -o**6/72 + 5*o**4/8 + 3*o**3/2 - 12*o. Let l(s) be the second derivative of c(s). Differentiate l(h) with respect to h. -10*h Let o(f) be the second derivative of 0*f**6 + 0 + 0*f**4 + 17/6*f**3 + 0*f**2 + 11/42*f**7 - 12*f + 0*f**5. Find the second derivative of o(u) wrt u. 220*u**3 Let w(r) = -r + 17. Let g be w(3). What is the second derivative of -6*m**2 + g + 2*m - 18 - 14 + 17*m**2 wrt m? 22 Let v(i) = 7*i**3 - 2*i**2 + 13*i + 4. Let n(y) = -14*y**3 + 3*y**2 - 27*y - 7. Let f(c) = 4*n(c) + 7*v(c). What is the second derivative of f(p) wrt p? -42*p - 4 Suppose -h + 7 + 1 = 0. Suppose 0 = -4*a + h, -2*a + 0*a + 10 = w. What is the second derivative of 4*q**5 - w*q**5 + 7*q + 4*q**5 wrt q? 40*q**3 Let s(t)
{ "pile_set_name": "DM Mathematics" }
3, 23 Suppose 0 = t + 9*t - 20. What are the prime factors of t? 2 Let a(p) = -p**3 + p**2 + p - 3. Suppose 3*j + 2*w + 4 = -2, 4*j + 4*w + 8 = 0. List the prime factors of a(j). 7 Let p(w) = w**3 - 6*w**2 - w - 12. Let n be p(9). Let q = n - 70. List the prime factors of q. 2, 19 What are the prime factors of (4/5)/((-74)/(-139860))? 2, 3, 7 Suppose 0 = 19*a - 12*a - 14868. What are the prime factors of a? 2, 3, 59 Let c(g) = 2*g + 8*g**2 - 6*g - 7 - 2 + 3. Let r be c(-4). Suppose -r = -8*w + 5*w. List the prime factors of w. 2, 23 Let w = 19 + -11. Suppose w = -5*q + 63. Suppose 2*d - 29 = -q. What are the prime factors of d? 3 Let k(a) = a**2 + 5*a - 9. Let q be k(6). Suppose 153 = 2*w + g, w - 24 - q = g. List the prime factors of (-2)/12 - w/(-36). 2 Suppose -796*g - 12552 = -804*g. What are the prime factors of g? 3, 523 Suppose -3*u = -2*x - 0*u - 1, -x - 4*u + 5 = 0. Let d be -6*x*(-21)/(-3). Let r = 78 + d. List the prime factors of r. 2, 3 Suppose -488 = -2*o - 3*n + 419, -2*o - 5*n + 905 = 0. List the prime factors of o. 5, 7, 13 Let h(c) = 37*c**2 + 2*c + 1. Let u be (-5 + 0)*(-1 - 0). Suppose -7 = u*n - 2. List the prime factors of h(n). 2, 3 Let t = 122 + 1529. List the prime factors of t. 13, 127 Let l be 562/8 - (-2)/(-8). Suppose 5*g - 1 + 6 = 0, -2*p + 5*g + 15 = 0. Suppose p*c - l = -0*c. What are the prime factors of c? 2, 7 Suppose 4*x + 2*b - 5 - 15 = 0, 0 = 4*x + b - 22. Let y be (-7 - -1)/(3 - (-39)/(-12)). List the prime factors of (3/x)/(4/y). 3 Suppose -i = -2*h + 22 - 78, -4*i = h - 206. Suppose -96 - i = -4*f. What are the prime factors of f? 37 Let x = 30 + -27. Suppose 0 = -5*f - 5, -x*d = -0*d - 3*f - 165. What are the prime factors of d? 2, 3 Suppose 0*a - 2*q = 3*a - 411, 4*q + 151 = a. Let j = a + -78. Let i = 85 - j. What are the prime factors of i? 2, 3 List the prime factors of ((-63)/9 - -6) + 2061. 2, 5, 103 Suppose -3*h + 4 = -4*o, 4*h - 6 = 2*o + 3*o. Suppose -o*g = t - 67, -3*t = g + t - 51. What are the prime factors of g? 31 Let a(q) = 6*q - 8. Let r be a(11). Let t = r + -35. Suppose -4*g + 44 = b, -5*g + 23 = -b - t. What are the prime factors of g? 2, 5 Let v(d) = 42*d - 96. What are the prime factors of v(16)? 2, 3 List the prime factors of ((-1078)/(-168) + (-2)/(-8))*36. 2, 3, 5 Suppose 0*w + 2 = -4*q - 2*w, -w = 3. What are the prime factors of (-1)/(q - (-23)/(-22))? 2, 11 Let o(v) be the third derivative of v**6/120 - v**5/60 - v**4/24 + 7*v**3/3 - 4*v**2. List the prime factors of o(0). 2, 7 Let o be 2 - 7*(-2)/1. List the prime factors of 12/(-15)*(-40)/o. 2 Let s(y) = y**3 + 6*y**2 - 8*y - 7. Let t be s(-7). Suppose 5*o - 3*o - 2 = t. List the prime factors of -9 + 7 + o + 49. 2, 3 List the prime factors of 4 + 1 + 248 + -19. 2, 3, 13 Suppose -27798 = -23*x + 7208. What are the prime factors of x? 2, 761 Let d(v) = v**3 + 6*v**2 - 6*v + 7. Let j be d(-7). Suppose j = -6*r - 97 + 385. List the prime factors of r. 2, 3 Suppose 6 + 6 = -6*u. What are the prime factors of u/((-116)/38 - -3)? 2, 19 Let s(v) = 31*v**2 + 8*v + 4. List the prime factors of s(4). 2, 7, 19 Let q(o) = o**3 - 5*o**2 + 8*o - 3. Let g be (-28)/(-126) + (-86)/(-18). Let d be q(g). Suppose -2*x = -9 - d. What are the prime factors of x? 23 Suppose -153*z + 90396 = -99*z. List the prime factors of z. 2, 3, 31 Let q(d) = 14*d**3 + 12 - 5*d**3 + 11*d**2 - 8*d**3 + 8*d. What are the prime factors of q(-7)? 2, 19 What are the prime factors of (-4)/(-5)*(5 - 220/(-8))? 2, 13 What are the prime factors of 7*79 + (-9)/(63/28)? 3, 61 Suppose -5*s + 6*r = 2*r - 174, -s + r = -34. Let j = s + 15. What are the prime factors of j? 53 List the prime factors of (-5)/10*-674 + 0. 337 Let a(m) = -m**2 - 150*m - 63. List the prime factors of a(-26). 29, 109 Let c = 163 - 10. List the prime factors of c. 3, 17 Suppose -d + 27 = -4*p - 15, -91 = -3*d + 5*p. Suppose -2*n = -n - 20. Let r = d - n. What are the prime factors of r? 2 Suppose 4*a - 744 = 120. List the prime factors of a. 2, 3 Let x(o) = -13*o + 2*o**2 + 46 - 100 + 28. List the prime factors of x(12). 2, 53 Suppose d = -3*d - 28. Let n be 0/2 + d + 4. Let u = n - -19. List the prime factors of u. 2 Let f = 2720 + -1419. What are the prime factors of f? 1301 Let j(a) = a**3 - 2*a**2 + 8*a - 5. Let x be j(7). Suppose -5*n - x = -3*r, -2*r - 311 = 5*n - 0*r. What are the prime factors of n/(-4) - (-10)/(-40)? 3, 5 Let f(b) = 6*b**3 - 2*b - 1. Let v be f(-1). Let z(u) = u - 15 + 3*u - 5*u + 12. What are the prime factors of z(v)? 2 Suppose -c = 2 - 4. Suppose -c*f = f + 159. List the prime factors of (-6)/4 - f/2. 5 Let f(l) = 10 + 6 + 4*l - 7. What are the prime factors of f(9)? 3, 5 Let b(o) = o**3 + o**2 + o + 11. Suppose -x - 2*x = 0
{ "pile_set_name": "DM Mathematics" }
the remainder when 137 is divided by (-2)/(-6)*f + 6/9? 22 Let u = -5 + 9. Suppose 2*l + u*n + 58 = 3*l, 219 = 3*l + 3*n. Let d = 13 + 5. Calculate the remainder when l is divided by d. 16 Let m(u) = 2*u**2 - 20*u - 137. What is the remainder when 320 is divided by m(16)? 45 Let d(n) = -12*n - 69. Suppose 3*q - 6*q = -4*v - 9, 6 = 2*q + 4*v. Calculate the remainder when q is divided by d(-6). 0 Suppose -26 = 13*n - 1248. Calculate the remainder when n is divided by 50. 44 Suppose -5*d = g + 11, -2*g - 13 = -3*g + 3*d. Suppose -54 = -2*k - g*k. What is the remainder when k is divided by 3? 0 Let g = 13 + -2. Let v(d) be the first derivative of -d**3/3 - 9*d**2/2 + 6*d - 15. What is the remainder when v(-7) is divided by g? 9 Suppose -5*x + 2*k + 128 = 3*k, 4*x - 4*k = 112. What is the remainder when x is divided by 9? 8 Suppose -448 = 4*j + c, -4*j = -c - 4*c + 472. Let y = j + 209. What is the remainder when y is divided by 25? 21 Suppose -558 = -2*g + 866. Suppose 3*b - g = -4*u, -11 = -4*b - 27. Calculate the remainder when u is divided by 46. 43 Suppose 8*d + 10*d - 468 = 0. What is the remainder when 101 is divided by d? 23 Let a(k) = 2*k**2 + 10*k - 43. Calculate the remainder when 0 + 0/(-2) - -12 is divided by a(3). 2 Suppose 45 = -40*p + 43*p. What is the remainder when 404 is divided by p? 14 Let w = 12 + -10. Suppose -4*a = -3*f, 0*f - 14 = -w*f - 2*a. What is the remainder when 22 is divided by f? 2 Suppose 2*j + t = 177, 0 = -t + 3 + 2. Let p = -59 + j. What is the remainder when ((-36)/p)/(2/(-141)) is divided by 24? 22 Let l = 6 - -6. What is the remainder when ((-3)/5)/(243/(-12555)) is divided by l? 7 Calculate the remainder when 89 is divided by 29 - (40/(-25) - (-14)/(-35)). 27 Let u(z) = -z**2 - 8*z - 4. Let i be u(-6). Suppose m - 18 = i. What is the remainder when m is divided by 9? 8 Let n be 3195/63 - 2/(-7). Suppose 0 = -3*o + 6*o - n. Let d(i) = -24*i + 1. What is the remainder when d(-2) is divided by o? 15 Suppose 4*b - 2*n = 108, -3*b + 3*n + 7 = -77. What is the remainder when 491 is divided by b? 23 What is the remainder when -21 - -16 - (2 - -487)/(-3) is divided by 66? 26 Suppose -2*m - 5*g + 4 = 0, 4*m - 2*g = 9*m - 10. Let q be 0/(0 - 2*-1). Suppose q = -m*u - 29 + 75. Calculate the remainder when u is divided by 12. 11 Let m(b) = b**3 - b**2 - b + 4. Let j be m(0). Suppose -5*h - 6 + 62 = 3*d, 0 = j*d - 4*h - 128. Calculate the remainder when d is divided by (-47)/(-3) - 2/3. 12 Suppose 0 = 5*m + 5*r - 520, -9*m = -5*m + 2*r - 412. What is the remainder when m is divided by 27? 21 Let v(z) = 20*z**2 + 4*z + 1. Calculate the remainder when v(-3) is divided by 85. 84 Suppose 12 = -5*a + 37. Let u(r) = -r**2 + 6*r + 4. Calculate the remainder when 26 is divided by u(a). 8 Let c(k) = 25 + 15*k + 23*k**3 - 24*k**3 + 6*k - 8*k**2. Calculate the remainder when 27 is divided by c(-10). 12 Suppose 0 = -10*f + 11*f - 3. Suppose -3*r + f*y - 24 = -4*r, -44 = -2*r - 5*y. What is the remainder when 155 is divided by r? 11 Let q(z) be the first derivative of -z**4/4 + 2*z**3/3 + z**2/2 + 27. What is the remainder when 82 is divided by q(-2)? 12 Let l = 54 - 38. Suppose -22*f + 192 = -l*f. Calculate the remainder when f is divided by 17. 15 Let n(l) = 5*l. Suppose 4*x + 0 + 3 = -3*c, 3*x - 5*c - 5 = 0. Suppose x = 5*f + 17 - 207. What is the remainder when f is divided by n(4)? 18 Suppose -4*w = -8*w + 16. Suppose -4*f - 41 = -5*r - 114, 3*f + 4*r = 78. What is the remainder when f is divided by w - (4 - 2) - -11? 9 What is the remainder when 45930/300 - 1/10 is divided by 31? 29 Suppose 0 = -7*a + 19 + 51. Calculate the remainder when 91 is divided by a. 1 Suppose 3*f - 140 = -f. Suppose -5*c + 20 = -4*c. Let v = f - c. Calculate the remainder when 28 is divided by v. 13 Let u(g) = g**2 - 7*g + 8. Let r be u(6). Suppose 0 = -2*t - 208 + 202. What is the remainder when 29 is divided by r/((-3)/36*t)? 5 Let j(d) = 7*d**3 - d**2 + 6*d - 7. Let v(w) = 4*w - 20 + w + 14 - w**2 + 6*w**3. Let x(f) = 5*j(f) - 6*v(f). What is the remainder when 24 is divided by x(-2)? 11 Let x(h) = -h**3 + h**2 + 6*h - 8. Let s be x(2). Suppose s = -4*p + 5*r + 125, -3*p - 4*r + 152 = p. Calculate the remainder when 103 is divided by p. 33 Let a = -31 - -49. Calculate the remainder when 158 is divided by a. 14 Let y(j) = -j**3 + 6*j**2 - 10*j + 18. Let l be y(4). Let d = l - 3. What is the remainder when 32 is divided by d? 4 Let u(m) = 3*m + 28. What is the remainder when u(26) is divided by 34? 4 Let p = 2 + 0. Suppose w - p + 0 = 0. Suppose 0 = -4*m - 5*o + 100, 73 = 5*m + w*o - 69. What is the remainder when m is divided by 8? 6 Suppose 4 + 22 = g. Calculate the remainder when 46 is divided by g. 20 Suppose 55*q = 281 + 324. Calculate the remainder when 163/3 - 1/3 is divided by q. 10 Suppose 4 - 12 = -4*f, 0 = -z + 5*f - 9. What is the remainder when 28 is divided by z + 0 + 8 + 6? 13 Let f(j) = -j**2 + 8*j + 6. Let c = -9 + 17. Calculate the remainder when 6 is divided by f(c). 0 Suppose 2*n = -z + 15, -33 = -2*z - n - 0*n. Suppose 5*s - 6*o - 340 = -o, -5*s = -2*o - 331. Calculate the remainder when s is divided by z.
{ "pile_set_name": "DM Mathematics" }
/8 Calculate (-159)/(-207) + (57780/2349 - 25) + (-14)/(-203). 10/23 What is (-6 - 21)/216*22? -11/4 25415/(-455) + 56 + (-32)/322 1/23 What is the value of 6/(27216/(-1218)) - 1/(-4)? -1/54 -3 + -2 - 27/((-432)/(-784)) -54 Calculate (((-15)/9)/(327/(-9)))/(-6*120/288). -2/109 What is the value of 5202/270 - 19 - (-10)/750*-395? -5 What is (-1518)/33 - 884/(-19)? 10/19 ((-5)/(-2) - 1)/(96/(-12) - -22) 3/28 What is the value of -74 - (-2)/(-40)*-1660? 9 What is 2394/(-247)*221/51? -42 Calculate (1*-1)/(623/7 + -40). -1/49 What is (873/6 + -8)*(-1536)/3840? -55 What is (-450)/(-14) - (-49 + 82)? -6/7 What is the value of 4*(-93)/8556 + 7794/(-69)? -113 What is ((224/80)/2)/((-70)/(-2450))? 49 Evaluate (-7995)/381 - (8 - (-3 + 32)). 2/127 What is the value of ((8/112)/((-30)/24))/((-12)/1974) - 7? 12/5 (-240642)/(-145215) - 12/7 -2/35 What is ((-423980)/(-1806))/(-29) - 10/(-6)? -45/7 Calculate (-21 - 4961/(-41))/((-16)/8). -50 What is the value of (-33 + 31)*-20 - 23? 17 Evaluate ((-620)/(-279) - 3)/(92/(-8) - -6 - -6). -14/9 What is the value of 2/(-9)*(-1308)/(-23108)? -2/159 -67*(-4)/(-24) + (-1224)/(-7344) -11 What is the value of (2 + (-22)/4)*((-70)/(-770) + 16/308)? -1/2 (-76 + 62 - 5) + (-27)/(-1) 8 7*(-20)/(7 - -3) -14 Evaluate (-31548)/88*6/2844 - ((-90)/24 - -3). -1/158 Calculate 1084/12195*(((-5405)/(-30))/23 - 7). 2/27 What is (304/(-80))/(708/(-60) + 12)? -19 Evaluate (-1392)/(0 - 16)*27/81. 29 ((-4)/(-276))/((-10)/(-2130)) - (-14)/(-161) 3 0 - 2/15 - 212/72*78342/5935 -39 Calculate (5/(-3))/(((-36)/(-96))/(378/(-140))). 12 What is the value of 0/3 + -5 + 20 + -455 + 457? 17 Calculate ((-1738)/3476)/(1 - (-81)/(-12)). 2/23 Calculate (203/(-294) + 18/21 - 1112/48) + -7. -30 What is (8 - (14 - (-704)/(-112)))*(-286)/(143/13)? -52/7 ((-15)/2 + 2)*712140/130559 -30 What is the value of ((-2)/(-568))/((-32)/(-144) + 34/(-72))? -1/71 Evaluate 0 + (190/(-456)*24 - -1*3)*-15. 105 5802/4835*1*(-20)/(-18) 4/3 What is (3842/204 + 6 + -25)/(0 + 14/9)? -3/28 What is 270/1620 - (-533)/(-1326)? -4/17 What is the value of 459034/(-7631) - (-60)/1? -2/13 ((-22)/(-55))/(63/(-35) + 3)*(-2 - -60) 58/3 (-265)/90 - 15 - (1376/144 - 10) -35/2 Evaluate 16*4067/(-7840) + 10/35 + 146/28. -14/5 What is the value of 4/14*(20 + (-516)/24 + 2)? 1/7 What is ((-1722)/(-48))/(-27*(-16)/432) + 3/24? 36 What is 1432/(-580) + ((-2)/2)/(2233/(-154))? -12/5 Calculate (-22 - 2166/(-95))/((-44)/530) - (-13 - -7). -40/11 Calculate ((-4)/(-38))/((-8)/((-264)/1133) - 35). -3/19 Calculate 0 + -11 - (-50)/(-2)*(-256)/320. 9 What is the value of (-306)/85*(-17 - 1892/(-66))? -42 What is the value of ((525/(-6))/(-7))/(34 + (-6195)/180)? -30 Evaluate 15832/(-23748) + (0 - 10/9)/(2/(-48)). 26 Calculate (-8770)/14032*(-16)/(-11). -10/11 3/2*(-115568)/(-455049) 8/21 8/(-3)*206/(35844/783) -12 What is the value of 48/64*42/249*92/966? 1/83 ((-52)/9)/(-2) - (0/62)/(-3 + 2) 26/9 (-28992)/5070429 - (-4)/182 2/123 What is (-55 - 60371/(-1095))*630? 84 200/50*(182/24 - (-14)/(-42)) 29 Calculate (-30384)/13504 - (-253)/116. -2/29 Evaluate 58 + 36 + -22 + -37. 35 Calculate -42*((-164 - -113) + 53). -84 (-5015)/170*(1/4 + (-351)/156) 59 What is the value of 0/(-32) + -50 - -99? 49 51/(-408)*26*-4 13 Calculate 76 + 5 + ((-33 - -5) + 19 - -6). 78 What is 15 + -14 - 7/5 - 56834/(-785)? 72 -327 - -348 - (11300/(-54))/(-10) 2/27 Calculate 5*-1*19/(1216/(-80))*(-22 - -18). -25 What is the value of (6 - 50) + (-3810)/127? -74 Calculate ((-2)/(-14))/1 + 133/((-36309)/5772). -21 Evaluate (-25)/(475/266) - 10 - (4 + -4 + -4). -20 ((-26)/(-126) - 1) + (-5128)/(-8974) -2/9 13/65 - (2772/40)/(-21) 7/2 Calculate 33/44*(-168)/(-294)*1. 3/7 What is (-2 - (4/(-3))/(31 - (-9855)/(-324)))*-38? -76/7 What is (-200)/(-840)*3*28? 20 Evaluate (-4 - -6)/(9/((-3816)/5528) - -13). -53 Calculate (-3968)/(-496) - 3250/26. -117 ((-423)/45 + 136561/14790)/((-131)/(-12)) -2/131 What is (-4)/(-55)*(-26 - (-9367)/357)/(3/(-21))? -4/33 0 - 4 - 237/(-19197)*81 -3 What is the value of ((-7562)/(-3745) - (1075/125 + -7)) + 3/(-7)? -1/107 Evaluate 8/5*465/(-2046) + (-837)/(-33). 25 What is the value of ((-2)/12*(-5 + 6))/(10543/351 + -30)? -9/2 What is the value of (-17)/85*110/(-33)*-36? -24 What is the value of 28 + 1632/208 + 18/117? 36 What is the value of ((-102)/340)/(((-3604)/2650)/((-8)/(-15)))? 2/17 What is the value of (-217)/18 - (((-16948)/(-190) - 89) + 46/(-180))? -12 What is the value of 32/5 + -4 + (-63936)/(-1110)? 60 Calculate (54/4 - -1)/(((-302)/1510)/((-1)/(-5))). -29/2 Calculate -63*(-4)/168 + 51/(-12). -11/4 Calculate 2553/(-5106
{ "pile_set_name": "DM Mathematics" }
52*g Find the third derivative of -64*g**3*r**2 + 48*g**3 - 19*g**2 + g*r**2 - r**2 + 6 wrt g. -384*r**2 + 288 Find the third derivative of -230*b**4*q - 23*b**4 - 4*b**3*q + 2*b**3 - 2062*b**2*q + 390*q wrt b. -5520*b*q - 552*b - 24*q + 12 What is the first derivative of -37399*q**3 + 249013 wrt q? -112197*q**2 Differentiate -53235*s**3 - 433171 wrt s. -159705*s**2 Find the second derivative of 151*f**4*y**2 - 2096*f**2*y**2 + f*y**2 - f*y - 9*f + 2*y**2 - 508*y wrt f. 1812*f**2*y**2 - 4192*y**2 Find the third derivative of 934256*w**6 + 5413*w**2 - 6*w wrt w. 112110720*w**3 What is the second derivative of -53694*l**2 + 77302*l? -107388 What is the derivative of -5*n**2 - 1007*n - 36394? -10*n - 1007 What is the second derivative of -10891*s**3*v**3*w**2 - 4116*s**3*v**2*w + 3*s**3*v*w**2 + 5*s*v**3*w wrt w? -21782*s**3*v**3 + 6*s**3*v Find the second derivative of -9*a*f**2 - 4*a*f - 793*a + 89632*f**2 + 126 wrt f. -18*a + 179264 Find the third derivative of -40*d*k**2*z**3 + 2*d*k*z**3 + 2*d*k*z**2 + d*z**3 - 19967*k**2*z + z**2 wrt z. -240*d*k**2 + 12*d*k + 6*d Find the third derivative of -17704*z**6 + 246434*z**2 wrt z. -2124480*z**3 Find the second derivative of 5404*l**5 - l**3*y**3 - 2*l*y**3 + 26*l*y**2 + 928*y**2 wrt l. 108080*l**3 - 6*l*y**3 What is the derivative of -2*d**2*g + d**2 - 81*d*g**2 - 177*d*g - 9*g**2 - 326*g wrt d? -4*d*g + 2*d - 81*g**2 - 177*g Find the third derivative of 3*k**2*m**4 + k**2*m**2*n + 317*k**2*m**2 + 2*k**2*n + 95*k*m**2 + 86341*m**5*n wrt m. 72*k**2*m + 5180460*m**2*n What is the second derivative of -q**3 + 231674*q**2 - 228*q - 1210 wrt q? -6*q + 463348 Find the second derivative of -8049*v**2 - 8683*v - 2 wrt v. -16098 What is the second derivative of 6447*h**2*r**3 - 3*h**2*r - 980*h*r - 3*h + 3*r**5 - 9*r - 1 wrt r? 38682*h**2*r + 60*r**3 What is the third derivative of -138730*m**4 + 387158*m**2 wrt m? -3329520*m What is the first derivative of -313899*w**3 + 847952 wrt w? -941697*w**2 Differentiate -71*i**2*s**4 - 3*i**2*s + 10*i**2 + 2*i - 163*s - 79758 with respect to s. -284*i**2*s**3 - 3*i**2 - 163 Find the second derivative of -60043*i**4 + 50446*i wrt i. -720516*i**2 Find the third derivative of 461893*z**4 - 370788*z**2 + 1 wrt z. 11085432*z Differentiate 290785*g - 34435 with respect to g. 290785 Find the third derivative of -2360334*x**5 - 48347*x**2 - 9 wrt x. -141620040*x**2 Find the first derivative of -3*w*x**2 - 22086*w - 3912*x**2 wrt x. -6*w*x - 7824*x Find the second derivative of 15601*o*x**4 - 983*o*x - 3*x + 2 wrt x. 187212*o*x**2 What is the third derivative of -197043*y**3 - 2*y**2 - 4*y - 4052? -1182258 What is the second derivative of -402765*w**2 + 360893*w wrt w? -805530 What is the second derivative of 61857*g**2*s**2*x + g**2*x**2 + 2*g**2 - g*s**2*x**2 + 2*g*s**2*x - 2*g*s - 61*g + 54*x**2 wrt g? 123714*s**2*x + 2*x**2 + 4 Differentiate 23*c**2*v - 5*c**2 + 145*c*d*w - 5*c*v*w + 30*d*v*w - 2*v*w - 2*w wrt v. 23*c**2 - 5*c*w + 30*d*w - 2*w What is the second derivative of 21*f**3*h**2*i - 5*f**3*h + 14*f**3*i + 9317*f**2*h**2*i + 50*f*h*i + f*h + h wrt h? 42*f**3*i + 18634*f**2*i Find the second derivative of g*i**5 + 233325*g*i**2 + g*i - 492*g + 2*i + 4 wrt i. 20*g*i**3 + 466650*g What is the third derivative of -23*i**4 + 10*i**3 + 10*i**2 - 23? -552*i + 60 Find the third derivative of -25*c**2*x**3 - 127*c**2*x**2 + 2*c**2 - c*x**2 + 2*c*x - 774*x**3 wrt x. -150*c**2 - 4644 Find the first derivative of 39*h**2*i*p - 2*h**2*p + h*i*p - h*i + 82*h*p + 3*h - 7*i*p + 87*i + 12 wrt i. 39*h**2*p + h*p - h - 7*p + 87 What is the second derivative of -488*l**5 + 3*l**4 + 6*l**2 - 47091*l wrt l? -9760*l**3 + 36*l**2 + 12 What is the third derivative of -4*d**3*i**4 + 2*d**3*i**2 + 4*d**3*i + 33*d**2 + 6*d + 3054*i**6 wrt i? -96*d**3*i + 366480*i**3 Find the third derivative of 25*o**6*z**2 - 950*o**6 - 4*o**2*z + 20*o**2 - 94*o*z**2 - 2*z wrt o. 3000*o**3*z**2 - 114000*o**3 Find the first derivative of 1589505*h*u - 1494959*h wrt u. 1589505*h Find the third derivative of 188956*i**4 - 2*i**2 + 149*i - 201 wrt i. 4534944*i What is the second derivative of -2476805*a**2 + 1083*a + 840? -4953610 What
{ "pile_set_name": "DM Mathematics" }
2*k**3 + 3*k + 171 What is the k'th term of -1470521, -1470522, -1470523? -k - 1470520 What is the b'th term of 304, 327, 346, 361, 372, 379, 382? -2*b**2 + 29*b + 277 What is the f'th term of 2932, 2874, 2710, 2386, 1848, 1042? -9*f**3 + f**2 + 2*f + 2938 What is the y'th term of -4012, -4003, -3982, -3943, -3880? y**3 + 2*y - 4015 What is the j'th term of 17983, 17979, 17975, 17971, 17967? -4*j + 17987 What is the z'th term of -7, 99, 273, 515? 34*z**2 + 4*z - 45 What is the t'th term of 152, 267, 412, 587? 15*t**2 + 70*t + 67 What is the z'th term of 71, 284, 621, 1082, 1667, 2376? 62*z**2 + 27*z - 18 What is the k'th term of 3651, 3667, 3695, 3741, 3811? k**3 + 9*k + 3641 What is the b'th term of -39, -351, -875, -1617, -2583, -3779, -5211, -6885? -b**3 - 100*b**2 - 5*b + 67 What is the q'th term of -258366, -258349, -258332, -258315, -258298, -258281? 17*q - 258383 What is the j'th term of -26964, -26828, -26690, -26550, -26408? j**2 + 133*j - 27098 What is the u'th term of -43, -144, -301, -514, -783, -1108, -1489? -28*u**2 - 17*u + 2 What is the j'th term of 87, 375, 907, 1725, 2871, 4387, 6315, 8697? 7*j**3 + 80*j**2 - j + 1 What is the o'th term of -131, -335, -529, -707, -863? o**3 - o**2 - 208*o + 77 What is the i'th term of 9859011, 9859015, 9859021, 9859029, 9859039, 9859051? i**2 + i + 9859009 What is the u'th term of -82936, -82922, -82908? 14*u - 82950 What is the t'th term of -88556, -88540, -88510, -88460, -88384? t**3 + t**2 + 6*t - 88564 What is the v'th term of -113, -24, 177, 532, 1083, 1872, 2941, 4332? 7*v**3 + 14*v**2 - 2*v - 132 What is the z'th term of -1513615, -1513617, -1513619, -1513621, -1513623? -2*z - 1513613 What is the s'th term of -2238664, -2238670, -2238678, -2238688? -s**2 - 3*s - 2238660 What is the t'th term of -73, -718, -2501, -5992, -11761? -95*t**3 + t**2 + 17*t + 4 What is the w'th term of 1065099, 1065110, 1065135, 1065180, 1065251, 1065354, 1065495? w**3 + w**2 + w + 1065096 What is the a'th term of 5912, 5854, 5758, 5624? -19*a**2 - a + 5932 What is the x'th term of -1776, 1473, 4724, 7977, 11232, 14489? x**2 + 3246*x - 5023 What is the a'th term of 10333, 10348, 10373, 10408, 10453? 5*a**2 + 10328 What is the m'th term of -424, -332, -172, 62, 376? m**3 + 28*m**2 + m - 454 What is the a'th term of -3267, -5637, -8005, -10371? a**2 - 2373*a - 895 What is the t'th term of 226701, 226706, 226711? 5*t + 226696 What is the i'th term of 801, 781, 763, 747, 733? i**2 - 23*i + 823 What is the v'th term of 631617, 1263241, 1894865, 2526489, 3158113, 3789737? 631624*v - 7 What is the z'th term of 202, 373, 520, 631, 694, 697, 628? -2*z**3 + 185*z + 19 What is the n'th term of -27376, -27369, -27362? 7*n - 27383 What is the o'th term of -67549, -67544, -67537, -67528, -67517, -67504? o**2 + 2*o - 67552 What is the j'th term of 9700, 19407, 29112, 38815, 48516, 58215? -j**2 + 9710*j - 9 What is the c'th term of 1740, 3485, 5230, 6975, 8720? 1745*c - 5 What is the p'th term of -6309, -12618, -18927, -25236, -31545? -6309*p What is the d'th term of -3768, -7530, -11294, -15060, -18828, -22598? -d**2 - 3759*d - 8 What is the a'th term of -352, -439, -516, -577, -616, -627, -604? a**3 - a**2 - 91*a - 261 What is the f'th term of 10717, 21392, 32071, 42760, 53465? f**3 - 4*f**2 + 10680*f + 40 What is the t'th term of -388, -875, -1462, -2149, -2936, -3823, -4810? -50*t**2 - 337*t - 1 What is the u'th term of -2364, -5765, -11432, -19365? -1133*u**2 - 2*u - 1229 What is the l'th term of -8772, -8771, -8770? l - 8773 What is the t'th term of 107331, 214658, 321985, 429312, 536639, 643966? 107327*t + 4 What is the o'th term of 3295, 3355, 3415, 3475? 60*o + 3235 What is the h'th term of 280928, 561847, 842766? 280919*h + 9 What is the a'th term of 7126, 28517, 64168, 114079? 7130*a**2 + a - 5 What is the r'th term of 2687, 2642, 2583, 2504, 2399, 2262, 2087, 1868? -r**3 - r**2 - 35*r + 2724 What is the i'th term of -527, -1913, -4223, -7457, -11615, -16697, -22703? -462*i**2 - 65 What is the p'th term of -778, -3249, -7368, -13135, -20550, -29613? -824*p**2 + p + 45 What is the v'th term of -2514, -2509, -2500, -2487, -2470, -2449, -2424? 2*v**2 - v - 2515 What is the q'th term of 52598, 52583, 52568, 52553, 52538, 52523? -15*q + 52613 What is the s'th term of -1834, -7255
{ "pile_set_name": "DM Mathematics" }
+ 665 - 3*u**2 - 262 wrt u? -1872*u**3 - 6*u Let f(u) be the third derivative of -2473*u**4/24 - 37*u**3 - 2*u**2 + 3135. Differentiate f(l) wrt l. -2473 Let t(v) = 4*v - 16. Let s be t(5). Find the first derivative of -s*q - 59 + 4*q - 99*q**2 + 31*q**2 wrt q. -136*q Let u(g) = -g**3 - 10*g**2 + 13*g + 190. Let m be u(-10). What is the second derivative of -168 + 31 + m*s**5 - 30*s**5 + 2*s wrt s? 600*s**3 Let i(p) be the first derivative of -8156*p**3/3 - 4675*p**2/2 + 2*p - 468. What is the second derivative of i(c) wrt c? -16312 Let x be (-8)/(-10) + 176/55. Suppose 2*k - 8*q = -3*q - 19, x*k - q - 7 = 0. What is the derivative of 13 - k*t - 3*t + 8*t - t wrt t? 1 Let i(m) be the third derivative of 3551*m**6/120 + m**5/30 - 47*m**3/6 - 3261*m**2 + 1. Find the third derivative of i(x) wrt x. 21306 Let x(c) = -322*c - 224. Let b(l) = -l - 4. Let t(h) = -38*b(h) + 2*x(h). Differentiate t(f) wrt f. -606 Let y(a) be the first derivative of 35/6*a**6 + 0*a**5 + 0*a**3 - 18 + 0*a - 109/2*a**2 + 0*a**4. What is the second derivative of y(z) wrt z? 700*z**3 Let z = -5 - -10. Suppose -19*d + 29*d - 130 = 0. Find the third derivative of -75*x**4 + z*x**6 - d*x**2 + 75*x**4 wrt x. 600*x**3 Let d(r) be the third derivative of -2201*r**5/15 + 103*r**4/4 + r**3/3 - r**2 - 825*r - 2. Find the second derivative of d(w) wrt w. -17608 Let l(g) = -g**3 + 4*g**2 - 341*g - 988. Let z(a) = 6*a**3 - 22*a**2 + 1704*a + 4939. Let s(v) = -22*l(v) - 4*z(v). Differentiate s(n) with respect to n. -6*n**2 + 686 Let z(d) be the second derivative of -229*d**8/56 + d**4/12 + 15*d**2/2 - 2812*d. What is the third derivative of z(o) wrt o? -27480*o**3 Let t(z) be the first derivative of 4571*z**4/4 - 6289*z - 6485. Differentiate t(s) with respect to s. 13713*s**2 What is the second derivative of 9 + 25 + 185*y**4 - 34 - 1159*y wrt y? 2220*y**2 What is the derivative of 137*r + 955*r - 6*r + 342*r - 1519 wrt r? 1428 Let t(v) = -43 - 36 - 4*v**2 + 4*v**2 + 24*v**3 - 3*v. Let x(u) = -49*u**3 + 7*u + 159. Let w(g) = 7*t(g) + 3*x(g). Find the first derivative of w(y) wrt y. 63*y**2 Find the third derivative of -1394*z**3 - 43*z**3 + 1434*z**2 + 575*z**3 + 1592*z**2 - 2420*z**3 wrt z. -19692 Let c(b) be the first derivative of 7*b**4/4 + 21*b**2/2 + 536*b - 1833. What is the derivative of c(l) wrt l? 21*l**2 + 21 Differentiate 679 - 1535 + 135 - 2698*a - 1645 - 878 wrt a. -2698 Let t(m) be the third derivative of m**7/15 + 11*m**4/4 + 299*m**3/6 - 55*m**2 + 1. Find the first derivative of t(v) wrt v. 56*v**3 + 66 Let n(o) be the second derivative of -3/2*o**2 + 57/4*o**4 - 158*o + 0 + 5/6*o**3. What is the second derivative of n(t) wrt t? 342 Let z(h) = 773*h + 1083. Let j(d) = 2*d + 24. Let u(s) = 3*j(s) - z(s). Find the first derivative of u(a) wrt a. -767 Let o(j) = -4593*j**2 + 7567*j + 12. Let p(n) = 4593*n**2 - 7597*n - 14. Let r(s) = 7*o(s) + 6*p(s). Find the second derivative of r(v) wrt v. -9186 Let n(a) = 450*a**4 - 1129*a**2 - 2*a. Let x(s) = 451*s**4 - 1127*s**2 - 3*s. Let h(q) = -3*n(q) + 2*x(q). Find the third derivative of h(f) wrt f. -10752*f Let l(v) be the first derivative of v**4/4 - 1106*v**3/3 - 1802*v - 1569. Differentiate l(n) wrt n. 3*n**2 - 2212*n Let v(s) be the third derivative of -5*s**5/4 + s**4/8 - 241*s**3/3 + 804*s**2. What is the derivative of v(z) wrt z? -150*z + 3 Suppose 5 = x, 0 = w + 3*w + 2*x - 46. Let k(c) = c**3 - 10*c**2 + 9*c + 3. Let y be k(w). Find the first derivative of -y*u**3 + 315*u - 315*u + 5 wrt u. -9*u**2 Let m = -86 + 91. What is the second derivative of 37*a + 31*a + 7*a**3 + 4*a**2 + m*a**2 - 20*a wrt a? 42*a + 18 Let b(f) be the third derivative of -44*f**5/15 + f**4/12 - 1871*f**3/6 + 1054*f**2. Find the first derivative of b(k) wrt k. -352*k + 2 Let m be (6 - 1)*5/(-50)*-178. Let r = m + -87. What is the second derivative of -16*v + 12*v**4 - 24*v + 16*v**4 - r*v**4 wrt v? 312*v**2 Suppose -94 = -11*c - 72. Find the third derivative of 109*x**2 - 245*x**2 - 33*x**6 - 35*x**6 + 119*x**c wrt x. -8160*x**3 Suppose 0 = -25*f + 30*f - 20. Find the first derivative of -154 - 47*p**f - 196*p**4 + 115 wrt p. -972*p**3 Let f(x) be the second derivative of x**6/10 - 463*x**5/20 - 445*x**4/12 + 4*x - 326. What is the third derivative of f(n) wrt n? 72*n - 2778 Let j(q) be the first derivative of 75/2*q**2 + 54 - 70*q. Differentiate j(z) with respect to z. 75 Let v(w) be the third derivative of w**7/30 - w**6/120 + 44*w**5/15 + 3173
{ "pile_set_name": "DM Mathematics" }
least common multiple of 34062 and 5610498? 39273486 Calculate the common denominator of -67/33660 and -43/11242440. 11242440 Calculate the smallest common multiple of 2200 and 84933200. 84933200 Calculate the lowest common multiple of 611 and 2862184. 134522648 What is the lowest common multiple of 2054462 and 7? 14381234 What is the common denominator of -107/23622588 and -41/10527? 23622588 Calculate the lowest common multiple of 5724 and 8982. 2856276 Calculate the lowest common multiple of 286 and 321360. 3534960 Calculate the lowest common multiple of 77850 and 94977. 4748850 What is the common denominator of 51/33610850 and 57/890? 33610850 What is the lowest common multiple of 378 and 143421642? 430264926 What is the common denominator of 131/22313214 and 149/90? 111566070 Calculate the smallest common multiple of 355010747 and 109234076. 1420042988 What is the lowest common multiple of 107532569 and 15865461? 967793121 Calculate the least common multiple of 66 and 3255082. 107417706 Calculate the least common multiple of 1618345 and 971007. 4855035 What is the lowest common multiple of 242631 and 1698417? 1698417 Calculate the common denominator of 77/55929542 and 127/167788626. 167788626 Calculate the least common multiple of 245910 and 9435. 154677390 What is the least common multiple of 972504 and 1107574? 39872664 What is the common denominator of -11/6616 and 67/59328? 49064256 What is the least common multiple of 461125 and 3815? 50262625 What is the common denominator of 89/29456 and 31/1004? 7393456 Calculate the lowest common multiple of 33966 and 4308. 24387588 Find the common denominator of 17/1879995 and -111/4242040. 165439560 What is the common denominator of -45/1860416 and 59/2441796? 39068736 What is the lowest common multiple of 644 and 20663384? 20663384 Calculate the common denominator of 155/28416 and 5/2388. 5654784 What is the common denominator of -131/1524 and -23/98565? 50071020 Calculate the common denominator of -17/205 and 43/112352587. 561762935 What is the smallest common multiple of 275748 and 5540028? 60940308 What is the common denominator of 67/2929382 and 65/7112? 82022696 Calculate the smallest common multiple of 944 and 627760. 627760 Find the common denominator of 13/20650 and -4/58823. 20588050 Calculate the smallest common multiple of 46445 and 504260. 3529820 What is the lowest common multiple of 50925 and 176055? 6161925 Calculate the common denominator of -67/3061530 and -86/1635. 333706770 Calculate the lowest common multiple of 198 and 549918. 6049098 Calculate the lowest common multiple of 4291407 and 128742210. 128742210 What is the common denominator of -48/591785 and 46/59995? 100011665 Calculate the lowest common multiple of 190 and 8645361. 86453610 Calculate the least common multiple of 7900053 and 1190. 79000530 What is the common denominator of -29/16740 and 10/64821? 11667780 What is the smallest common multiple of 2849 and 1050874? 7356118 Calculate the least common multiple of 26330040 and 6. 26330040 What is the smallest common multiple of 23537598 and 821079? 70612794 Calculate the lowest common multiple of 52135894 and 184. 208543576 Find the common denominator of 65/53724 and -131/57720. 6984120 Calculate the lowest common multiple of 100 and 362920. 1814600 Calculate the common denominator of -29/60620 and -71/40288052. 201440260 Calculate the smallest common multiple of 34716 and 8133. 94115076 What is the smallest common multiple of 2857172 and 118432? 22857376 What is the smallest common multiple of 868047 and 5208282? 5208282 What is the least common multiple of 911841 and 4098? 1245574806 What is the common denominator of 59/21804894 and 29/2476? 43609788 Find the common denominator of 17/90292986 and -71/138. 90292986 What is the smallest common multiple of 120406 and 67263170? 739894870 Calculate the smallest common multiple of 72 and 1680147. 13441176 Calculate the least common multiple of 443681 and 526. 887362 What is the least common multiple of 189 and 43417512? 303922584 What is the least common multiple of 18 and 4756800? 14270400 What is the lowest common multiple of 11 and 68395896? 752354856 What is the least common multiple of 24732 and 733944? 1512658584 What is the least common multiple of 24676 and 416268? 82837332 Find the common denominator of 81/156290560 and -67/234435840. 468871680 Calculate the least common multiple of 140 and 4043400. 28303800 Calculate the lowest common multiple of 4180379 and 22199254. 643778366 Calculate the lowest common multiple of 45 and 4894345. 44049105 What is the least common multiple of 222270 and 42? 1555890 Calculate the lowest common multiple of 180 and 60481350. 120962700 What is the common denominator of -94/155325 and 37/52250? 17085750 Calculate the least common multiple of 14938155 and 184. 119505240 What is the common denominator of 113/470 and 57/329434? 77416990 What is the least common multiple of 15988158 and 47964474? 47964474 Calculate the common denominator of 37/6326425 and 137/3010. 544072550 Calculate the least common multiple of 46683 and 2772. 2054052 Find the common denominator of -37/47781624 and 13/7239640. 238908120 Find the common denominator of -3/8918 and 7/119912. 41129816 Calculate the common denominator of 47/194668 and 19/906868. 37181588 Calculate the smallest common multiple of 15504 and 152760. 5193840 What is the least common multiple of 3942576 and 438064? 3942576 What is the common denominator of -9/3513500 and -77/3250? 45675500 Calculate the common denominator of -29/121 and -109/10639838. 117038218 Calculate the common denominator of 29/225 and 193/5571720. 27858600 Calculate the common denominator of 4/1093605 and -8/3. 1093605 What is the least common multiple of 1648269 and 1581? 51096339 Find the common denominator of 38/7077849 and 31/7077849. 7077849 Calculate the smallest common multiple of 39268812 and 100496. 157075248 Find the common denominator of 17/14 and 143/39480066. 276360462 Calculate the least common multiple of 186237 and 22679528. 204115752 What is the smallest common multiple of 69265716 and 342? 207797148 What is the common denominator of 131/108432 and -13/13656? 61697808 Calculate the least common multiple of 93288536 and 116610670. 466442680 Find the common denominator of 48/5 and -61/254435105. 254435105 Calculate the common denominator of -11/10346 and -23/2583. 3817674 Calculate the smallest common multiple of 160 and 154768. 1547680 Find the common denominator of -25/1505306 and 39/9579220. 105371420 What is the common denominator of 67/73086 and -187/48390? 589438590 What is the common denominator of -37/7296 and -15/93136? 42470016 Calculate the lowest common multiple of 1726596 and 143883. 1726596 Calculate the lowest common multiple of 3282
{ "pile_set_name": "DM Mathematics" }
3*o + 7. Suppose 5*q = -25, 4*q + o + 0 = -4*j. Let t(h) = 6*h - 2. Let n be t(j). What is the greatest common factor of n and 32? 16 Suppose 0 = 4*i + 16, 2*j + 2*i - 205 = -17. What is the highest common factor of 14 and j? 14 Suppose n = 4*a + 22, a - 4*a - 12 = 0. Calculate the highest common factor of n and 30. 6 Let j be 4*(39/12 - 2). Let k be (88/(-5))/((-1)/j). What is the greatest common factor of k and 11? 11 Let j be 2/5 + 13/5. Suppose 3*n + 2*h = 495, -2*n = -j*h + 139 - 469. What is the greatest common factor of n and 15? 15 Let r(x) = -x**3 - 2*x**2 - 2. Let n be r(-2). Let d be 12 - n*1/1. Calculate the greatest common divisor of d and 154. 14 Let l(v) be the third derivative of v**4/6 + v**2. Let o be l(4). Suppose -z - 2 = n - 4*n, -2*n - o = -2*z. Calculate the highest common factor of 65 and z. 13 Let z(q) = 7*q - 9. Let w(m) = 21*m - 28. Let o(p) = 4*w(p) - 11*z(p). Let n be o(9). What is the highest common divisor of 10 and n? 10 Let j = 8 + 31. What is the greatest common factor of 13 and j? 13 Suppose -8*g + 131 + 301 = 0. Calculate the highest common divisor of 144 and g. 18 Let i be (-415)/(-30) + (-5)/6. Calculate the greatest common factor of 156 and i. 13 Let d be 2*(2 - -1) + -2. Suppose 216 = -d*y + 7*y. Calculate the highest common factor of 8 and y. 8 Let p = 1 + -3. Let s be p + 11 + (-1 - -3). What is the greatest common divisor of s and 44? 11 Let c(s) = -8*s + 5. Let k be c(-6). Suppose 0 = 4*m - 3*w - k, 4*m = 3*m - 2*w + 5. What is the highest common divisor of 77 and m? 11 Let s(d) = d**3 - 2*d. Let u be s(-1). What is the highest common factor of u and 9? 1 Suppose 0 = 5*t - 2*t + g - 1518, 2*t + 3*g = 1012. What is the highest common divisor of t and 46? 46 Let s = 10 + -7. Let c be 0 - -2 - s*-18. What is the highest common factor of c and 140? 28 Suppose 0 = 3*d - 36 + 396. Let v = d + 273. Calculate the highest common factor of 17 and v. 17 Suppose -10*l = 3*l - 117. Calculate the highest common factor of l and 6. 3 Let n be (-9)/(-27) + (-149)/(-3). Calculate the greatest common divisor of n and 20. 10 Suppose 2*z + 61 - 281 = 0. Calculate the highest common factor of z and 44. 22 Let n = 145 - 101. Suppose v - 74 = 36. What is the greatest common factor of n and v? 22 Let m = -100 + 144. What is the highest common divisor of 66 and m? 22 Let z(p) = 5*p**2 + p + 1. Let c be z(-4). Let u = c - -11. What is the highest common factor of u and 8? 8 Let z be (3/5)/((-3)/(-15)). Let k be ((-10)/z)/((-4)/18). Calculate the highest common divisor of k and 120. 15 Let k(f) = f**3 - f**2 - 29*f - 20. Let z be k(8). Let c = 46 + -18. What is the greatest common divisor of c and z? 28 Let s be (15 - (3 + -3)) + (0 - 1). What is the highest common divisor of 70 and s? 14 Suppose -21 = 5*r - 71. What is the greatest common factor of r and 40? 10 Suppose -7*c = -3*c - 592. Let n = c + -43. Suppose 0 = -o + n + 12. What is the highest common divisor of 13 and o? 13 Suppose d = 2*u - 25 + 7, -27 = -u - 4*d. What is the highest common factor of 11 and u? 11 Suppose 2*o + 0*o = 70. Suppose -5*c = -o - 15. What is the greatest common divisor of 110 and c? 10 Let u = -7 - -4. Let z be 3 + 3 + 0/u. What is the highest common factor of z and 9? 3 Let i(u) = -u - 12. Let p be i(-16). What is the greatest common factor of 20 and p? 4 Let z be ((-21)/(-9) + 1)*-3. Let b be (-2)/z + 237/15. Suppose -q - 2*q = -384. What is the highest common factor of b and q? 16 Suppose 5*g - 27 = 8. What is the highest common divisor of 35 and g? 7 Let q be 18/4 - 1/2. Suppose 0*k - q*k = -16. Let o = 5 - 1. Calculate the greatest common divisor of o and k. 4 Let f = -12 - -17. Let a(s) = s**3 + 6*s**2 - 8*s - 2. Let d be a(-7). Suppose -15 = -g + d. What is the highest common divisor of g and f? 5 Let r(s) = -s**3 - s**2 + 3*s + 3. Let i be r(-2). Calculate the greatest common divisor of i and 8. 1 Let n = -4 + 6. Let s be -1*(n + -49 - -2). What is the greatest common factor of s and 18? 9 Let u(r) = -r**2 - 7*r + 16. Let c be u(-11). Let w = 40 + c. What is the greatest common factor of 60 and w? 12 Let s(a) = 2*a**2 + 3*a + 1. Let j be s(-3). Let c(i) = -i**2 + 11*i + 30. Let v be c(13). What is the highest common factor of j and v? 2 Suppose r = -0*r. Suppose -5*j + r + 5 = 0. What is the highest common divisor of 2 and j? 1 Let s be 9*(-1 - (-16)/6). Suppose 0 = -2*c - c + s. Suppose -c*r = -2*r - 27. Calculate the highest common divisor of r and 99. 9 Suppose -84 - 183 = -4*h - 3*a, 4*a + 232 = 4*h. Calculate the highest common divisor of h and 42. 21 Let j(o) = -55*o - 4. Let b be (-27)/(-6)*2/(-3). Let q be j(b). What is the greatest common divisor of q and 23? 23 Suppose 376 = -5*f + d, -5*f - 196 = 3*d + 176. Let y be -5*5/(f/24). Let v = y - -10. What is the highest common factor of 162 and v? 18 Let b be 0/(((-1)/1)/1). Let v = 3 + b. Suppose 4*j - 52 = -16. Calculate the greatest common factor of j and v. 3 Let i be (-2)/3 + (-80)/15. Let c be (-3)/i + (-15)/(-2). Suppose -n - 10 = -2*a + 2, 4*a - c = -2*n. What is the highest common divisor of a and 12? 4 Let o = 53 - 36. What is the highest common factor of 119 and o? 17 Let n(m) be the third derivative of -m**5/60 - 5*m**4/8 - m**3/6 + 2*m**2. Suppose 39 + 1 = -5*b. Let d be n(b). What is the highest common factor of d and 5? 5 Let r(k) = 11*k + 1. Let v = 1 + 1. Suppose -2*p + 2 = l
{ "pile_set_name": "DM Mathematics" }
t is the s'th term of 1591, 1590, 1589? -s + 1592 What is the f'th term of 234, 232, 230, 228, 226, 224? -2*f + 236 What is the t'th term of -6, -9, -10, -9? t**2 - 6*t - 1 What is the a'th term of -152, -302, -452, -602? -150*a - 2 What is the a'th term of -175, -353, -529, -703, -875, -1045, -1213? a**2 - 181*a + 5 What is the c'th term of 366, 372, 382, 396, 414? 2*c**2 + 364 What is the n'th term of 50, 37, 34, 47, 82? n**3 - n**2 - 17*n + 67 What is the x'th term of -16, -16, -10, 8, 44, 104, 194, 320? x**3 - 3*x**2 + 2*x - 16 What is the u'th term of -80, -77, -62, -29, 28, 115, 238? u**3 - 4*u - 77 What is the f'th term of 575, 1117, 1661, 2207, 2755, 3305, 3857? f**2 + 539*f + 35 What is the s'th term of -31, -38, -49, -64, -83? -2*s**2 - s - 28 What is the z'th term of 9693, 19386, 29079, 38772? 9693*z What is the x'th term of -646, -634, -606, -556, -478, -366? x**3 + 2*x**2 - x - 648 What is the z'th term of -21, -10, 9, 36, 71, 114, 165? 4*z**2 - z - 24 What is the n'th term of 49, 101, 153, 205, 257? 52*n - 3 What is the b'th term of 375, 758, 1153, 1566, 2003, 2470, 2973, 3518? b**3 + 376*b - 2 What is the o'th term of -222, -472, -722? -250*o + 28 What is the y'th term of 25, 41, 77, 139, 233, 365, 541? y**3 + 4*y**2 - 3*y + 23 What is the v'th term of 1149, 1160, 1185, 1230, 1301, 1404? v**3 + v**2 + v + 1146 What is the z'th term of 59, 36, 13? -23*z + 82 What is the f'th term of 5024, 10050, 15076, 20102, 25128? 5026*f - 2 What is the r'th term of -828, -1671, -2532, -3411, -4308? -9*r**2 - 816*r - 3 What is the y'th term of -115, -240, -375, -526, -699, -900, -1135, -1410? -y**3 + y**2 - 121*y + 6 What is the x'th term of 8, 21, 38, 59, 84? 2*x**2 + 7*x - 1 What is the j'th term of -22, -23, -24, -25, -26? -j - 21 What is the j'th term of 7117, 28457, 64023, 113815, 177833, 256077, 348547? 7113*j**2 + j + 3 What is the w'th term of 312, 619, 926? 307*w + 5 What is the l'th term of -10090, -40356, -90800, -161422, -252222, -363200? -10089*l**2 + l - 2 What is the m'th term of 1242, 1240, 1238, 1236? -2*m + 1244 What is the h'th term of 1185, 2363, 3523, 4659, 5765, 6835, 7863, 8843? -h**3 - 3*h**2 + 1194*h - 5 What is the g'th term of 268, 261, 240, 199, 132? -g**3 - g**2 + 3*g + 267 What is the z'th term of 36, 144, 324, 576, 900? 36*z**2 What is the r'th term of -1147, -1146, -1145, -1144, -1143, -1142? r - 1148 What is the k'th term of -432, -433, -434, -435, -436, -437? -k - 431 What is the o'th term of -36, -58, -80, -102, -124, -146? -22*o - 14 What is the b'th term of 18, 1, -36, -99, -194, -327, -504? -b**3 - 4*b**2 + 2*b + 21 What is the t'th term of -1895, -1896, -1897, -1898? -t - 1894 What is the z'th term of -480, -483, -488, -495? -z**2 - 479 What is the j'th term of -1, 15, 45, 95, 171, 279? j**3 + j**2 + 6*j - 9 What is the j'th term of 35, 28, 29, 44, 79, 140, 233, 364? j**3 - 2*j**2 - 8*j + 44 What is the l'th term of -30, -41, -64, -105, -170, -265, -396? -l**3 - 4*l - 25 What is the u'th term of 43, 68, 91, 106, 107, 88? -u**3 + 5*u**2 + 17*u + 22 What is the k'th term of 12, -10, -50, -114, -208, -338? -k**3 - 3*k**2 - 6*k + 22 What is the c'th term of 16, 58, 130, 232, 364, 526? 15*c**2 - 3*c + 4 What is the h'th term of 332, 1357, 3070, 5471? 344*h**2 - 7*h - 5 What is the y'th term of 33, 25, 17, 9, 1, -7? -8*y + 41 What is the x'th term of 92, 174, 258, 344, 432? x**2 + 79*x + 12 What is the u'th term of 256, 255, 254, 253, 252? -u + 257 What is the d'th term of 47, 41, 31, 17, -1, -23? -2*d**2 + 49 What is the f'th term of -2, -48, -160, -368, -702, -1192? -5*f**3 - 3*f**2 - 2*f + 8 What is the l'th term of 41, 95, 151, 209, 269? l**2 + 51*l - 11 What is the k'th term of -36, -78, -120, -162? -42*k + 6 What is the v'th term of 170, 169, 168, 167, 166, 165? -v + 171 What is the x'th term of -193, -393, -603, -829, -1077, -1353, -1663? -x**3 + x**2 - 196*x + 3 What is the y'th term of -22, -29, -38, -49? -y**2 - 4*y - 17 What is the g'th term of 6, -20, -52, -90, -134, -184? -3*g**2 - 17*g + 26 What is the n'th term of 25, 57, 97, 145, 201, 265, 337? 4*n**2 + 20*n + 1 What is the d'th term of 500, 499, 498? -d + 501 What is the a'th term of 53, 62, 77, 98, 125? 3*a**2 + 50 What is the b'th term of -94, -102, -110, -118, -126, -134? -8*
{ "pile_set_name": "DM Mathematics" }
435 - 688*sqrt(19) Simplify -4*((3 + 3*-6*(-2*sqrt(2800) - sqrt(2800)))**2 + 4). -32659252 - 25920*sqrt(7) Simplify (sqrt(152) - (sqrt(152) - (sqrt(152) - 3*(sqrt(152) - 5*sqrt(152)))) - -3*sqrt(152)*1)/(2*sqrt(24)/(sqrt(3) + sqrt(363))*-2). -48*sqrt(19) Simplify -2 + -6*(sqrt(112) - ((-4*sqrt(112) - sqrt(112)) + 5))**2*-5 + -2. -7200*sqrt(7) + 121706 Simplify (sqrt(288) + (sqrt(288) - 1*(sqrt(288) - -1*sqrt(288))) + sqrt(288))/(1*((sqrt(9) - sqrt(54)/sqrt(6)) + sqrt(9))) + 4. 4 + 4*sqrt(2) Simplify (-2*sqrt(156)*6 - 3*(sqrt(156) - (sqrt(156) + 2*sqrt(156) + sqrt(156))))/(sqrt(12) - sqrt(108)*-2 - sqrt(48)/(sqrt(4)*2)). -6*sqrt(13)/13 Simplify (5*sqrt(30)*-1)/(1*sqrt(10)*-1 + sqrt(10) - sqrt(10)) + (-3*sqrt(75)/sqrt(5))/(sqrt(5) + 3*sqrt(125)). 77*sqrt(3)/16 Simplify (-2*1*2*sqrt(100))/(sqrt(405) + sqrt(405) + (sqrt(405) - (sqrt(405)*-1*4 + sqrt(405) + sqrt(405)))) + -2. -2 - 8*sqrt(5)/45 Simplify (2*sqrt(2673)*1*6)/((sqrt(88)*-1*-3)/(sqrt(8) + (2*sqrt(128) - sqrt(8)))). 288*sqrt(3) Simplify ((-4*sqrt(480) + sqrt(480))*-3)/(sqrt(490)*2 - sqrt(20)/sqrt(2)*4). 18*sqrt(3)/5 Simplify ((2*sqrt(153)*-3 - sqrt(153)) + 5*(sqrt(153) - sqrt(153)*1) + sqrt(153))/((-2*sqrt(144) - sqrt(144))*-1). -sqrt(17)/2 Simplify (sqrt(189)*-2)/(sqrt(6)/sqrt(2)*2) + -2*(sqrt(252)*-1 + 5)**2. -554 + 117*sqrt(7) Simplify (-4*-3*(sqrt(1300)*2 + 0) + 3)*-4. -960*sqrt(13) - 12 Simplify 1*(1*2*(-1*sqrt(637)*-1 + (sqrt(637) + 0 + sqrt(637))*-3))**2*3. 191100 Simplify (-4*sqrt(64)*-1*6*1)/(((sqrt(2560) - (-2*sqrt(2560) + sqrt(2560) + sqrt(2560))) + sqrt(2560))/(5*sqrt(20))). 30*sqrt(2) Simplify (-4 + -3*-1*1*5*3*3*(sqrt(847) + 0 - sqrt(847))*-3)**2. 16 Simplify (2*(sqrt(78) + sqrt(78) + (sqrt(78) - (3*sqrt(78) + sqrt(78))) - sqrt(78) - sqrt(78))*2)/((sqrt(60)/sqrt(2))/sqrt(5) - (sqrt(6) + sqrt(6)*2*2))*-6. -18*sqrt(13) Simplify (-1*sqrt(816) - (sqrt(561)*-5)/sqrt(11))/(sqrt(27)/(-5*sqrt(9)) + sqrt(3) - (sqrt(3) - (sqrt(3) - sqrt(12)*-2 - sqrt(3)))). 5*sqrt(17)/19 Simplify (-3*(sqrt(132) + -1*sqrt(132)*-4 + sqrt(132) - sqrt(132) - sqrt(132))*5)/((sqrt(48)*3)/sqrt(4) - (sqrt(12) - sqrt(24)/sqrt(2))*1). -20*sqrt(11) Simplify -3*(-3 + (sqrt(1700)*3)**2 + -1 - (sqrt(17) + -2 + sqrt(17) + sqrt(68) + 2)*-5). -45888 - 60*sqrt(17) Simplify -3 + ((2*sqrt(228)*-1 - 5*1*sqrt(228))/(sqrt(12) + -5*sqrt(108) - (sqrt(12) - -3*sqrt(24)/sqrt(2))))**2 + -2. -689/324 Simplify -3 + (sqrt(108) - (sqrt(108)*-3*-2 + sqrt(108)) - (2*-3*sqrt(108) + sqrt(108)))**2 + 3 + 3. 111 Simplify (6*(sqrt(15)/sqrt(5) + -2 + 1*sqrt(3)*-1 + 1 + sqrt(432) + sqrt(432) + sqrt(432) + 2))**2 + -2. 2592*sqrt(3) + 140002 Simplify 6*-2*((-1*(-2 + 3 + sqrt(1331)) + 0)*3)**2*4. -575424 - 9504*sqrt(11) Simplify 1*(-5*sqrt(209)*-2 - (sqrt(209)*-2 - sqrt(209) - sqrt(209))*6)/((sqrt(176) - -2*sqrt(176)) + sqrt(66)/(2*sqrt(6)) + sqrt(11)) + -4. -4 + 68*sqrt(19)/27 Simplify ((0 + sqrt(833))**2 + 2 - (sqrt(833) + 1)*6) + 3 + (-6*1*(sqrt(833) - 2*sqrt(833)) + 4)**2. 294*sqrt(17) + 30836 Simplify ((sqrt(50) + (1*sqrt(4050) - sqrt(50)) - sqrt(50)) + 2*(sqrt(50) + (sqrt(50) - sqrt(150)/sqrt(3))))/(3*4*5*(sqrt(40)/sqrt(4) + sqrt(10))). sqrt(5)/12 Simplify (5 + (-4 + -1*(1*sqrt(242) + sqrt(242)) - -3*(sqrt(242) + sqrt(242)*-3 + 5))*-1)**2. -1056*sqrt(2) + 15524 Simplify (-5 + sqrt(147) + 1 - (0 + -1*sqrt(147)))**2*3 + (sqrt(147) + 1 + -4 + (-2 + sqrt(147) + -3 - sqrt(147)))**2. -448*sqrt(3) + 2023 Simplify (sqrt(70)/(2*sqrt(242))*-5)/((sqrt(125) - (sqrt(125) - sqrt(125)*-1))*-1 - sqrt(125) - sqrt(125) - 3*sqrt(125)*2). sqrt(7)/154 Simplify ((-4*sqrt(144))/(sqrt(48)*-3))/(-5*(2*sqrt(1296))/sqrt(4)). -sqrt(3)/135 Simplify (sqrt(32)*6)**2 + (sqrt(1400) - sqrt(14) - sqrt(14))/sqrt(7) - (-2 + (sqrt(128) + 0 + 1 - sqrt(128)))**2. 8*sqrt(2) + 1151 Simplify 0 + sqrt(1008)*-2 - (-1 + sqrt(1008)*-2 - sqrt(1008)) - (-1 + 1 + sqrt(448) - 3*(sqrt(448) + 0)). 1 + 28*sqrt(7) Simplify 0 + -5*(((sqrt(704) - (-1 + sqrt(704)))*1 - 4*(0 + sqrt(704)))*-1)**2*-2. -640*sqrt(11) + 112650 Simplify (-1*((-4*((sqrt(84)*-3 - sqrt(84)) + sqrt(84)))/(5*(sqrt(72)/sqrt(6) + sqrt(12))) + 2))**2. 24*sqrt(7)/5 + 352/25 Simplify 0 + (5*-4*(1 + -3*sqrt(2)) - (0 + sqrt(4)/sqrt(2) + sqrt(6)/((sqrt(3) - sqrt(18)/sqrt(6)) + sqrt(3)))). -20 + 58*sqrt(2) Simplify (-1 + sqrt(66)/sqrt(6) + sqrt(11))**2 + (-5 + sqrt(11))*-3 + sqrt(11) - (((sqrt(11) + sqrt(1100) + sqrt(11))*1)**2 + 5*(sqrt(11) + -2)). -1514 - 11*sqrt(11) Simplify ((-3*sqrt(170) - sqrt(170))*-4 + sqrt(170) + -3*sqrt(170
{ "pile_set_name": "DM Mathematics" }
5541? False Is 56364516 a multiple of 4153? True Is 21502046 a multiple of 1952? False Does 6 divide 8927787? False Does 164 divide 52776348? True Is 31570000 a multiple of 112? True Is 9 a factor of 1590921? True Is 107163176 a multiple of 2081? True Is 640725086 a multiple of 314? False Is 1114 a factor of 68583726? False Is 81 a factor of 68102046? True Is 1217712442 a multiple of 2033? False Does 28 divide 173086340? True Does 20 divide 6785840? True Is 51675444 a multiple of 10? False Is 67 a factor of 30481449? True Is 4846745 a multiple of 122? False Does 76 divide 19741988? True Is 23625678 a multiple of 597? True Is 1340525284 a multiple of 17? False Is 483474030 a multiple of 2990? True Is 988 a factor of 230558520? False Is 1779 a factor of 471089874? True Is 1361461248 a multiple of 279? False Is 93 a factor of 224285524? False Does 516 divide 10632491? False Is 16874928 a multiple of 21? True Is 125581472 a multiple of 368? True Is 376806624 a multiple of 8? True Is 889310924 a multiple of 30? False Does 4721 divide 409919709? True Is 468 a factor of 550363083? False Is 95029462 a multiple of 3016? False Is 129 a factor of 115791432? True Is 289857277 a multiple of 125? False Is 26 a factor of 328495154? True Is 187 a factor of 8037260? True Is 18654471 a multiple of 589? False Is 104310712 a multiple of 11? True Is 13486387 a multiple of 29? False Is 188 a factor of 63953878? False Does 50 divide 277116748? False Is 123 a factor of 1116594? True Does 4 divide 37063168? True Is 11 a factor of 1137183975? False Is 523991243 a multiple of 6741? False Is 42164209 a multiple of 43? True Is 13272398 a multiple of 15? False Is 23 a factor of 76558088? False Is 392142471 a multiple of 229? False Does 10 divide 994856880? True Does 1085 divide 46883935? True Is 230708135 a multiple of 25? False Is 778 a factor of 289709907? False Is 140898688 a multiple of 896? True Is 7 a factor of 113855605? False Does 1463 divide 24650087? True Does 19 divide 455544? True Does 238 divide 10001509? False Does 93 divide 153716047? False Is 203763336 a multiple of 4? True Is 702 a factor of 24171264? True Is 469306121 a multiple of 87? False Does 20 divide 195717980? True Does 104 divide 12827880? True Is 66967373 a multiple of 407? True Does 8 divide 53971936? True Is 30478913 a multiple of 86? False Is 2075616 a multiple of 72? True Is 556175 a multiple of 73? False Is 44599084 a multiple of 398? True Is 3 a factor of 40616511? True Is 173862022 a multiple of 201? False Is 30 a factor of 946548450? True Does 2796 divide 85562091? False Is 3295150415 a multiple of 215? True Is 1694680 a multiple of 130? True Is 14751910 a multiple of 236? False Does 6475 divide 1157161059? False Is 71 a factor of 363311899? True Is 3050521259 a multiple of 17? True Does 10 divide 2042795930? True Is 1206917818 a multiple of 5198? False Is 59636274 a multiple of 47? False Does 2918 divide 10716983? False Is 8 a factor of 856802570? False Is 7020 a factor of 2457058567? False Does 24 divide 157556736? True Does 318 divide 768647022? True Is 5084699 a multiple of 127? True Is 1479426080 a multiple of 459? False Is 54036504 a multiple of 3? True Is 24129903 a multiple of 21? True Does 322 divide 29227627? False Is 15551187 a multiple of 368? False Does 3 divide 83751873? True Is 33 a factor of 3916771561? False Is 4033 a factor of 573670052? True Is 5 a factor of 840803955? True Is 1505597184 a multiple of 1677? True Does 2987 divide 1302923198? False Does 1636 divide 20329485? False Is 3069408 a multiple of 51? False Is 3038 a factor of 12710964? False Does 6192 divide 195239952? True Does 13 divide 59798128? True Does 14 divide 5763676? False Does 45 divide 99065157? False Is 299 a factor of 100970207? True Is 157 a factor of 78932064? True Does 1245 divide 1878257848? False Is 86 a factor of 518698987? False Is 1777 a factor of 63836948? True Is 1047 a factor of 4760709? True Is 26332480 a multiple of 1159? True Is 55 a factor of 217485510? True Does 121 divide 57451777? False Is 62773900 a multiple of 35? True Does 12 divide 20954802? False Is 40 a factor of 402541320? True Is 3659841 a multiple of 13? False Is 10 a factor of 235412389? False Is 6645888744 a multiple of 22? True Does 1912 divide 23127104? False Does 115 divide 37101990? True Does 41 divide 100620744? False Is 1136 a factor of 95798404? False Is 19 a factor of 1482437? True Is 60872640 a multiple of 16? True Is 82259735 a multiple of 28? False Is 891114087 a multiple of 335? False Does 802 divide 2119301040? True Is 832013847 a multiple of 2347? True Is 201319111 a multiple of 7? True Does 259 divide 166359846? False Is 685699 a multiple of 3? False Is 748 a factor of 12791661? False Is 17 a factor of 19807617? False Is 34595545 a multiple of 409? False Is 62564746 a multiple of 5? False Is 450 a factor of 319399650? True Is 347500962 a multiple of 42? False Is 123917841 a multiple of 26? False Is 48 a factor of 113124672? True Is 2887465456 a multiple of 1025? False Is 2407 a factor of 12184600? False Is 1146 a factor of 96683436? True Does 340 divide 2619539860? True Is 296 a factor of 3734851? False Does 54 divide 702850882? False Is 418574347 a multiple of 38? False Does 1848 divide 33457945? False Is 10 a factor of 3446950? True Does 310 divide 79454240? True Does 16 divide 216086252? False Is 4 a factor of 698889074? False Is 66326208 a multiple of 48? True Does 11 divide 40784062? True Is 5719421 a multiple of 63? False Is 1098 a factor of 72796161? False Does 39 divide 7662565268? False Is 1580 a factor of 102376721? False Is 185 a factor of 674721455? True Is 13 a factor of 241736742? True Is 14 a factor of 3512502? True Is 1283 a factor of 788262370? True Is 127 a factor of
{ "pile_set_name": "DM Mathematics" }
*2 - 13431406*y wrt y. 29671322 Find the second derivative of -63246*r**4 + 52*r**3 - 2*r**2 + 5*r + 999939. -758952*r**2 + 312*r - 4 Differentiate 10*b*l**2*w + 7332*b*l**2 + 9*b*l + 3*l**2*w - 3*l**2 - 2784*l + 2*w + 8 wrt b. 10*l**2*w + 7332*l**2 + 9*l What is the third derivative of 708068060*a**6 + 1218035700*a**2 wrt a? 84968167200*a**3 Find the third derivative of 17321755*u**4 + 97519406*u**2 wrt u. 415722120*u Find the second derivative of 143*i**3*t + 2*i**2*t - 5191*i**2 - i*t - 2802460*i + t - 2 wrt i. 858*i*t + 4*t - 10382 What is the second derivative of -1589820*o**2 + 14*o - 159699? -3179640 What is the first derivative of 8592*h**2*x**3 - 873214912*h**2 - 6255*h*x**4 wrt x? 25776*h**2*x**2 - 25020*h*x**3 Find the first derivative of -2*k**3 + 142656*k**2 + 4572907. -6*k**2 + 285312*k Differentiate 44299*h**2*p**2*x + 2*h**2*p**2 - 2*h*p**2 - 17*h*p*x**4 - 4*p + 149444 wrt x. 44299*h**2*p**2 - 68*h*p*x**3 Differentiate -4*u**3 + 101164038*u*x + 110657*x + 542 wrt u. -12*u**2 + 101164038*x What is the first derivative of -742847204*l**2*m - 23442*l**2 - 7*l - 24 wrt m? -742847204*l**2 Find the third derivative of 77575*i**3*q**3 + 160*i**3*q**2 + 2*i**3*q + 29*i**2*q**2 - 16*i*q + 75*q**6 wrt q. 465450*i**3 + 9000*q**3 What is the first derivative of 27901116*a - 10311828? 27901116 Differentiate 637883160*s - 568380433 wrt s. 637883160 Find the third derivative of -689144991*o**3 + 100791921*o**2 - 3*o. -4134869946 Differentiate g*s*w**2 - 961*g*s*w - 35*g*s - 9*g - 696*s*w - 29600 with respect to w. 2*g*s*w - 961*g*s - 696*s Find the third derivative of -70*h**3*v**3 - 15070*h**3*v**2 + 111*h**2*v**3 + 1868*h**2 - h*v - v**2 wrt h. -420*v**3 - 90420*v**2 What is the second derivative of 70253673*x**5 - 12203047*x + 3? 1405073460*x**3 Find the second derivative of -215139386*s**2 - 141052641*s. -430278772 Find the second derivative of 73203819*y**3 - 42386149*y wrt y. 439222914*y Find the second derivative of 19525442*w**3 + 22882761*w. 117152652*w What is the third derivative of 932*b**3*c**3 + 251*b**3*c*g*h - b**3*g - b**2*c*g + 4*b**2*c - 11948*b*c**2*h + c**3*g*h + 3*c + 2*g wrt b? 5592*c**3 + 1506*c*g*h - 6*g Differentiate 805275*r**2 + 12*r - 64619222. 1610550*r + 12 What is the third derivative of -917*a**5*y - 169499*a**4 + 284335391*a**2*y wrt a? -55020*a**2*y - 4067976*a What is the third derivative of -4104*w**4 - 1912*w**3 + 20978*w**2 + 77*w + 3 wrt w? -98496*w - 11472 Find the third derivative of 326*q**3*x**2 + 877471*q**3 - 2*q**2 - 6331244*q - 11*x**2 wrt q. 1956*x**2 + 5264826 Differentiate 49722520*s + 73694273 with respect to s. 49722520 Find the second derivative of -99*g**3 + 6860*g**2 - 6659768*g. -594*g + 13720 What is the second derivative of -289*i**4 + 134228*i**2 - 98857836*i wrt i? -3468*i**2 + 268456 What is the second derivative of 18*h**3*s + 19934*h**2*s**3 - 101*h**2 - 1144734957*h*s**3 wrt h? 108*h*s + 39868*s**3 - 202 Find the second derivative of -73*q**4 + 293017*q**2 + 357018226*q wrt q. -876*q**2 + 586034 What is the third derivative of 99403*m**4 + 4*m**3 + 18361471*m**2 wrt m? 2385672*m + 24 Differentiate -2*y**2 - 23045366*y + 319859975. -4*y - 23045366 What is the derivative of -20*c**3 - c**2 - 97399*c + 18186673? -60*c**2 - 2*c - 97399 Differentiate -22053*s**3 - 64*s**2 - 38469243. -66159*s**2 - 128*s Find the first derivative of -840*b*u**2 - 48*b*u - 25671252*b - 2*u**3 + 2*u wrt u. -1680*b*u - 48*b - 6*u**2 + 2 Find the first derivative of -405*v**2 - 12145*v - 1731166. -810*v - 12145 What is the second derivative of -59319270*u**4 - 41307498*u? -711831240*u**2 Find the third derivative of 32273727*i**4 + 71312946*i**2. 774569448*i What is the first derivative of 263779951*f + 782864286 wrt f? 263779951 Differentiate 2*l**2*u - 3425752*l**2 - 18442422*u wrt l. 4*l*u - 6851504*l What is the second derivative of -4479*g**4 + 40*g**2*n + 8*g**2 + 226*g + 20797*n wrt g? -53748*g**2 + 80*n + 16 Differentiate -13479500*g - 18588844 with respect to g. -13479500 Find the second derivative of -14*o**4 - 23*o**3 + 18354*o**2 + 87*o + 1098145 wrt o. -168*o**2 - 138*o + 36708 What is the third derivative of -52403510*r**6 + r**4 - 2*r**3 - 49858592*r**2? -6288421200*r**3 + 24*r - 12 Find the second derivative of 1150*d**2*u**2*w + d**2*u*w**2 - 46*d**2*u*w + 358083*d*u**2*w**3 + 2569123*u*w**3 - 2*u*w wrt u. 2300*d**2*w + 716166*
{ "pile_set_name": "DM Mathematics" }
remainder when 36621 is divided by 241. 230 Calculate the remainder when 3536 is divided by 107. 5 What is the remainder when 2639 is divided by 1242? 155 What is the remainder when 140 is divided by 86? 54 Calculate the remainder when 1417 is divided by 513. 391 Calculate the remainder when 13702 is divided by 1365. 52 What is the remainder when 193005 is divided by 31? 30 What is the remainder when 47527 is divided by 367? 184 Calculate the remainder when 135038 is divided by 883. 822 Calculate the remainder when 214494 is divided by 39. 33 What is the remainder when 23518 is divided by 48? 46 What is the remainder when 1432 is divided by 1402? 30 What is the remainder when 3944 is divided by 46? 34 Calculate the remainder when 20776 is divided by 71. 44 What is the remainder when 2041 is divided by 108? 97 Calculate the remainder when 67513 is divided by 61. 47 Calculate the remainder when 4836 is divided by 168. 132 Calculate the remainder when 12877 is divided by 113. 108 Calculate the remainder when 1583 is divided by 318. 311 Calculate the remainder when 1016 is divided by 109. 35 Calculate the remainder when 44926 is divided by 18. 16 What is the remainder when 6665 is divided by 370? 5 What is the remainder when 9863 is divided by 386? 213 Calculate the remainder when 258 is divided by 44. 38 Calculate the remainder when 819 is divided by 248. 75 Calculate the remainder when 33556 is divided by 81. 22 Calculate the remainder when 707402 is divided by 103. 101 Calculate the remainder when 1742 is divided by 427. 34 What is the remainder when 8091 is divided by 197? 14 Calculate the remainder when 92891 is divided by 325. 266 Calculate the remainder when 78876 is divided by 139. 63 What is the remainder when 89124 is divided by 15? 9 What is the remainder when 57081 is divided by 245? 241 Calculate the remainder when 307995 is divided by 56. 51 What is the remainder when 11300 is divided by 5609? 82 What is the remainder when 107223 is divided by 14? 11 What is the remainder when 3208399 is divided by 260? 259 What is the remainder when 364713 is divided by 66? 63 Calculate the remainder when 951617 is divided by 1194. 1193 What is the remainder when 9112 is divided by 2959? 235 What is the remainder when 20726 is divided by 10355? 16 What is the remainder when 233514 is divided by 714? 36 What is the remainder when 23492 is divided by 34? 32 What is the remainder when 1976402 is divided by 663? 662 What is the remainder when 5467 is divided by 21? 7 Calculate the remainder when 4612 is divided by 39. 10 Calculate the remainder when 2014 is divided by 996. 22 What is the remainder when 2504191 is divided by 98? 95 Calculate the remainder when 2461 is divided by 1119. 223 What is the remainder when 995349 is divided by 67? 64 What is the remainder when 26248 is divided by 6558? 16 What is the remainder when 14868 is divided by 4707? 747 What is the remainder when 4517 is divided by 217? 177 Calculate the remainder when 7457 is divided by 298. 7 What is the remainder when 61876 is divided by 375? 1 What is the remainder when 958 is divided by 46? 38 What is the remainder when 44326 is divided by 19? 18 What is the remainder when 94484 is divided by 11802? 68 What is the remainder when 292755 is divided by 172? 11 Calculate the remainder when 2600 is divided by 163. 155 What is the remainder when 26090 is divided by 83? 28 What is the remainder when 4504 is divided by 191? 111 Calculate the remainder when 43756 is divided by 80. 76 Calculate the remainder when 5949 is divided by 2965. 19 What is the remainder when 6306 is divided by 572? 14 What is the remainder when 2222 is divided by 553? 10 Calculate the remainder when 1302 is divided by 7. 0 What is the remainder when 36214 is divided by 36203? 11 Calculate the remainder when 74556 is divided by 312. 300 What is the remainder when 3273 is divided by 568? 433 What is the remainder when 847650 is divided by 18? 12 What is the remainder when 10192 is divided by 1442? 98 What is the remainder when 849153 is divided by 919? 916 What is the remainder when 25005 is divided by 142? 13 What is the remainder when 155677 is divided by 22237? 18 Calculate the remainder when 526521 is divided by 43. 29 Calculate the remainder when 37279 is divided by 17. 15 What is the remainder when 49795 is divided by 59? 58 What is the remainder when 34505 is divided by 18? 17 Calculate the remainder when 907286 is divided by 94. 92 Calculate the remainder when 62479 is divided by 12494. 9 Calculate the remainder when 67978 is divided by 110. 108 What is the remainder when 341402 is divided by 188? 182 What is the remainder when 1978 is divided by 195? 28 Calculate the remainder when 146092 is divided by 189. 184 Calculate the remainder when 130044 is divided by 19. 8 Calculate the remainder when 4290 is divided by 4249. 41 What is the remainder when 1832 is divided by 46? 38 Calculate the remainder when 8609 is divided by 297. 293 What is the remainder when 272139 is divided by 13? 10 Calculate the remainder when 2341 is divided by 103. 75 Calculate the remainder when 51534 is divided by 17174. 12 What is the remainder when 2193 is divided by 185? 158 Calculate the remainder when 2318 is divided by 577. 10 Calculate the remainder when 97441 is divided by 74. 57 What is the remainder when 153413 is divided by 7669? 33 What is the remainder when 6026 is divided by 2953? 120 What is the remainder when 124675 is divided by 497? 425 Calculate the remainder when 50942 is divided by 520. 502 Calculate the remainder when 247 is divided by 78. 13 What is the remainder when 10866 is divided by 278? 24 What is the remainder when 77597 is divided by 25838? 83 What is the remainder when 7255 is divided by 2148? 811 Calculate the remainder when 34719 is divided by 124. 123 Calculate the remainder when 115494 is divided by 41. 38 What is the remainder when 440430 is divided by 578? 572 Calculate the remainder when 721 is divided by 227. 40 Calculate the remainder when 2562 is divided by 2451. 111 What is the remainder when 2001 is divided by 52? 25 What is the remainder when 8748 is divided by 11? 3 What is the remainder when 418195 is divided by 7210? 15 Calculate the remainder when 20619 is divided by 264. 27 Calculate the remainder when 1977 is divided by 4. 1 Calculate the remainder when 126513 is divided by 63249. 15 What is the remainder when 221964 is divided by 110981? 2 What is the remainder when 3013 is divided by 585? 88 Calculate the remainder when 573 is divided by 218. 137 Calculate the remainder when 1230 is divided by 395. 45 What is the remainder when 475 is divided by 463? 12 What is the remainder when 12261 is divided by 236? 225 What is the remainder when 18918 is divided by 5874? 1296 Calculate the remainder when 6184 is divided by 27. 1 What is the remainder when 2416929 is divided by 202? 201 Calculate the remainder when 31887 is divided by 3516. 243 Calculate the remainder when 23587 is divided by 97. 16 Calculate the remainder when 15108 is divided by 202. 160 What is the remainder when 2908 is divided by 330? 268 What is the remainder when 13108 is divided by 3237? 160 What is the remainder when 2895 is divided by 2890? 5 Calculate the remainder when 39558 is divided by 1798. 2 What is the remainder when 15339 is divided by 1975? 1514 What is the remainder when 610 is divided by 201? 7 Calculate the remainder when 1960 is divided by 1809. 151 What is the remainder when 5318 is divided by 1378? 1184 What is the remainder when 8898 is divided by 1132? 974 Calculate the remainder when 402694 is divided by 204. 202 Calculate the remainder when 17
{ "pile_set_name": "DM Mathematics" }
-1239 What comes next: -4093122, -8186264, -12279408, -16372554, -20465702, -24558852, -28652004? -32745158 What comes next: 14042096, 14042080, 14042064, 14042048? 14042032 What comes next: 11975294, 23950589, 35925884, 47901179, 59876474? 71851769 What is next in -285, -65, 669, 1923, 3703, 6015? 8865 What is next in 9673, 9550, 9427, 9304, 9181, 9058? 8935 What comes next: -7611301, -15222600, -22833899, -30445198, -38056497, -45667796? -53279095 What is next in -843897, -3375645, -7595235, -13502667, -21097941, -30381057, -41352015? -54010815 What is next in -11857, -24314, -36771, -49228, -61685? -74142 What is next in 2134347, 2134395, 2134443, 2134491, 2134539? 2134587 What is the next term in -45661, -44613, -43571, -42541, -41529, -40541, -39583, -38661? -37781 What is next in 766799, 766800, 766801, 766802, 766803, 766804? 766805 What is the next term in -7616, -15098, -22584, -30074, -37568? -45066 What comes next: -99666, -104972, -110278, -115584, -120890? -126196 What is next in 5505140, 5505194, 5505342, 5505632, 5506112, 5506830? 5507834 What comes next: 3632, 8451, 13270, 18089, 22908? 27727 What is next in 1311898, 1311883, 1311856, 1311817, 1311766? 1311703 What is next in 6079, 12176, 18343, 24604, 30983, 37504, 44191? 51068 What comes next: -3955, -5358, -6765, -8176, -9591, -11010? -12433 What is the next term in -115, -257, -429, -625, -839? -1065 What is next in 764, 1513, 2208, 2825, 3340, 3729, 3968? 4033 What is the next term in 10792, 11425, 12076, 12739, 13408? 14077 What is the next term in -32586, -31521, -30456, -29391, -28326? -27261 What is next in -893245, -892572, -891899, -891226? -890553 What comes next: 16509, 63194, 140051, 247080? 384281 What comes next: 555, 1918, 4033, 6858, 10351, 14470? 19173 What is the next term in 297212, 1188873, 2674976, 4755521, 7430508? 10699937 What comes next: 17029, 44527, 72027, 99529, 127033? 154539 What comes next: -281, 710, 2301, 4486, 7259, 10614, 14545, 19046? 24111 What is the next term in 310253, 1241157, 2792691, 4964855, 7757649, 11171073, 15205127? 19859811 What is next in 473063, 945994, 1418915, 1891826, 2364727, 2837618, 3310499? 3783370 What is next in -22280, -29013, -35746? -42479 What comes next: 2741908, 2741906, 2741902, 2741896? 2741888 What comes next: 2897785, 2897790, 2897795, 2897800, 2897805? 2897810 What is next in -127429, -127135, -126845, -126559, -126277, -125999? -125725 What comes next: -2134225, -2134219, -2134213, -2134207, -2134201, -2134195? -2134189 What is next in 902984232, 902984237, 902984252, 902984283, 902984336, 902984417, 902984532? 902984687 What is the next term in -310092, -620549, -931006, -1241463, -1551920, -1862377? -2172834 What comes next: 1630, 1201, 752, 277, -230? -775 What is next in 1773, 1594, 1331, 984, 553, 38, -561? -1244 What is next in -426, -1955, -5488, -12027, -22574, -38131, -59700, -88283? -124882 What is the next term in -4021, -19784, -46045, -82804, -130061? -187816 What is next in -2387747, -4775474, -7163187, -9550880, -11938547, -14326182, -16713779, -19101332? -21488835 What is next in -62075, -62234, -62393, -62552? -62711 What comes next: -3972779, -3972780, -3972781? -3972782 What comes next: 171405994, 171405996, 171405998, 171406000? 171406002 What comes next: -39694, -39757, -39806, -39835, -39838, -39809? -39742 What comes next: 217252, 218890, 221618, 225430, 230320, 236282, 243310, 251398? 260540 What is next in 370950099, 741900192, 1112850287, 1483800384? 1854750483 What is next in 153, 804, 2429, 5520, 10569, 18068, 28509, 42384? 60185 What is the next term in 21933, 21951, 21991, 22053? 22137 What is next in 13845, 27591, 41261, 54855, 68373, 81815? 95181 What comes next: -73847, -74523, -75651, -77231, -79263? -81747 What is the next term in 761, 1500, 2205, 2876? 3513 What is the next term in 130504, 260896, 391258, 521590? 651892 What comes next: -27045381, -54090763, -81136145, -108181527, -135226909, -162272291? -189317673 What is the next term in 1696606, 3393218, 5089830, 6786442? 8483054 What comes next: 1822447, 3644897, 5467347, 7289797, 9112247, 10934697? 12757147 What comes next: -230740, -461863, -692986, -924109, -1155232? -1386355 What is the next term in -109375, -111072, -112723, -114304, -115791, -117160? -118387 What comes next: 1312, 5789, 13272, 23773, 37304, 53877, 73504, 96197? 121968 What is the next term in 163342, 163381, 163420? 163459 What is next in -9701462, -19402850, -29104238, -38805626, -48507014? -58208402 What is the next term in -124683232, -249366466, -374049696, -498732922? -623416144 What is next in -74533, -69712, -64893, -60076, -55261? -50448 What comes next: -269879, -1079517, -2428935, -4318151, -67
{ "pile_set_name": "DM Mathematics" }
the ninth root of 897223 to the nearest integer? 5 What is 15553000 to the power of 1/10, to the nearest integer? 5 What is the cube root of 525938 to the nearest integer? 81 What is the square root of 197247 to the nearest integer? 444 What is the square root of 6255018 to the nearest integer? 2501 What is the fourth root of 10648535 to the nearest integer? 57 What is the fourth root of 27241701 to the nearest integer? 72 What is the seventh root of 5504357 to the nearest integer? 9 What is 881131 to the power of 1/2, to the nearest integer? 939 What is 13208899 to the power of 1/5, to the nearest integer? 27 What is the square root of 263223 to the nearest integer? 513 What is 790755 to the power of 1/2, to the nearest integer? 889 What is the third root of 970937 to the nearest integer? 99 What is the fourth root of 1100374 to the nearest integer? 32 What is 237547 to the power of 1/7, to the nearest integer? 6 What is 21279126 to the power of 1/2, to the nearest integer? 4613 What is the square root of 2085439 to the nearest integer? 1444 What is the fifth root of 5239771 to the nearest integer? 22 What is 3016001 to the power of 1/10, to the nearest integer? 4 What is the third root of 749695 to the nearest integer? 91 What is the cube root of 112046 to the nearest integer? 48 What is the cube root of 490216 to the nearest integer? 79 What is 20187507 to the power of 1/2, to the nearest integer? 4493 What is the eighth root of 2481360 to the nearest integer? 6 What is 16583095 to the power of 1/2, to the nearest integer? 4072 What is the cube root of 168193 to the nearest integer? 55 What is 3545376 to the power of 1/2, to the nearest integer? 1883 What is the cube root of 2521657 to the nearest integer? 136 What is the fourth root of 28799702 to the nearest integer? 73 What is 297 to the power of 1/2, to the nearest integer? 17 What is the square root of 349791 to the nearest integer? 591 What is 8873002 to the power of 1/2, to the nearest integer? 2979 What is the sixth root of 18479301 to the nearest integer? 16 What is the fourth root of 318757 to the nearest integer? 24 What is 40892861 to the power of 1/6, to the nearest integer? 19 What is the third root of 1906529 to the nearest integer? 124 What is the third root of 25526988 to the nearest integer? 294 What is the square root of 577660 to the nearest integer? 760 What is 8747194 to the power of 1/3, to the nearest integer? 206 What is 7764833 to the power of 1/5, to the nearest integer? 24 What is 3133786 to the power of 1/2, to the nearest integer? 1770 What is 1376483 to the power of 1/2, to the nearest integer? 1173 What is the fifth root of 2649515 to the nearest integer? 19 What is the cube root of 1213654 to the nearest integer? 107 What is the ninth root of 732267 to the nearest integer? 4 What is 5737628 to the power of 1/3, to the nearest integer? 179 What is the third root of 264439 to the nearest integer? 64 What is the square root of 5120239 to the nearest integer? 2263 What is the tenth root of 3002662 to the nearest integer? 4 What is 632814 to the power of 1/3, to the nearest integer? 86 What is 10493481 to the power of 1/2, to the nearest integer? 3239 What is the fourth root of 1530161 to the nearest integer? 35 What is 17519954 to the power of 1/4, to the nearest integer? 65 What is 3339439 to the power of 1/5, to the nearest integer? 20 What is 210107 to the power of 1/2, to the nearest integer? 458 What is 583260 to the power of 1/2, to the nearest integer? 764 What is the square root of 7630 to the nearest integer? 87 What is the seventh root of 1690469 to the nearest integer? 8 What is the eighth root of 1642614 to the nearest integer? 6 What is 284135 to the power of 1/10, to the nearest integer? 4 What is the fourth root of 223567 to the nearest integer? 22 What is the seventh root of 143954 to the nearest integer? 5 What is the seventh root of 2541702 to the nearest integer? 8 What is 4893700 to the power of 1/2, to the nearest integer? 2212 What is 80630 to the power of 1/2, to the nearest integer? 284 What is 698445 to the power of 1/7, to the nearest integer? 7 What is 357461 to the power of 1/6, to the nearest integer? 8 What is the cube root of 406635 to the nearest integer? 74 What is 959440 to the power of 1/6, to the nearest integer? 10 What is the cube root of 3867636 to the nearest integer? 157 What is 1899595 to the power of 1/2, to the nearest integer? 1378 What is the cube root of 375633 to the nearest integer? 72 What is the cube root of 3645160 to the nearest integer? 154 What is 137550 to the power of 1/2, to the nearest integer? 371 What is 250545 to the power of 1/9, to the nearest integer? 4 What is the sixth root of 1433453 to the nearest integer? 11 What is the square root of 260483 to the nearest integer? 510 What is the fourth root of 10186575 to the nearest integer? 56 What is the square root of 1270182 to the nearest integer? 1127 What is the seventh root of 191671 to the nearest integer? 6 What is 21082406 to the power of 1/7, to the nearest integer? 11 What is 44059 to the power of 1/9, to the nearest integer? 3 What is the cube root of 148267 to the nearest integer? 53 What is the square root of 39072527 to the nearest integer? 6251 What is the cube root of 478623 to the nearest integer? 78 What is 35181 to the power of 1/2, to the nearest integer? 188 What is 10157 to the power of 1/3, to the nearest integer? 22 What is 14742 to the power of 1/9, to the nearest integer? 3 What is the tenth root of 121571 to the nearest integer? 3 What is the third root of 2225436 to the nearest integer? 131 What is the third root of 7594324 to the nearest integer? 197 What is the square root of 3692087 to the nearest integer? 1921 What is the square root of 11464 to the nearest integer? 107 What is the cube root of 129012 to the nearest integer? 51 What is the third root of 193706 to the nearest integer? 58 What is the square root of 2254324 to the nearest integer? 1501 What is 111241 to the power of 1/3, to the nearest integer? 48 What is the square root of 2186923 to the nearest integer? 1479 What is the ninth root of 673771 to the nearest integer? 4 What is the square root of 8747921 to the nearest integer? 2958 What is the third root of 230451 to the nearest integer? 61 What is the cube root of 5509735 to the nearest integer? 177 What is the third root of 189018 to the nearest integer? 57 What is the third root of 2828993 to the nearest integer? 141 What is the third root of 5541625 to the nearest integer? 177 What is the fourth root of 189400 to the nearest integer? 21 What is the third root of 165505 to the nearest integer? 55 What is the square root of 1014030 to the nearest integer? 1007 What is the ninth root of 422814 to the nearest integer? 4 What is the ninth root of 2502317 to the nearest integer? 5 What is 9217 to the power of 1/2, to the nearest integer? 96 What is
{ "pile_set_name": "DM Mathematics" }
) - (-38)/2299*11. What is the biggest value in 0.6, m, b? b Suppose 4*y + 106 = -21*p, -5*y - 57*p = -52*p + 5. Which is the fourth smallest value? (a) y (b) 0.02 (c) -5 (d) -2/37 a Let t = -4 + 4.1. Let w = 12.354 - -0.046. Let x = w - 11.5. What is the biggest value in x, -2/19, -0.5, t? x Suppose -54 = -3*z - 3*o, -7*z + 4*z = -5*o - 22. Let c be ((-29)/z - -2)/((-11)/66). Let g = -4 - -10. What is the smallest value in g, 1, c? c Let h be 2 - (-12)/(-9) - (-131)/(-3). Let p = h - -78. Suppose 8*d = d + p. What is the second smallest value in 2, d, -5, 0? 0 Let q = -55.3 - -37.2. Let k = -24.1 - q. Which is the third biggest value? (a) -3 (b) 3 (c) k c Let p(y) = -2 - 2*y**2 - 5*y + 3*y + 0 - 2*y. Let l be p(-2). Let n = 10996/4399 + 3/8798. Which is the fourth biggest value? (a) 3 (b) l (c) n (d) 5 b Let j = 612 + -600. Let q be (14 - j) + -3 + 3. Let p be 3/1*4/3. What is the third biggest value in p, -0.2, q, -6? -0.2 Let s = 0.04581 + -0.14581. What is the fifth smallest value in -15, s, 0.3, -2/5, 21? 21 Let j = 3625 - 5845. Which is the second smallest value? (a) j (b) -2 (c) -1 (d) -5 d Suppose -34 = -64*r + 108*r + 450. Which is the third biggest value? (a) -39.6 (b) -2/9 (c) r a Let v = 20215.1 + -20215. Which is the fourth smallest value? (a) v (b) 0.2 (c) -8 (d) -3 (e) 30 b Let w = 28341 - 28340. What is the fourth smallest value in 847, -0.4, -5, w? 847 Let s = -1789/2 + 5365/6. Which is the second smallest value? (a) s (b) 0.5 (c) 436 b Let j = 1/3 + 1/6. Let q = -438 + 250. Let g = q + 195. What is the third biggest value in j, g, -1/7? -1/7 Suppose -48 = 163*h - 160*h. What is the fourth biggest value in h, 3, 0, 2/3, -1.2? -1.2 Let p = -73707/13 - -5669. What is the third smallest value in 3/2, -4, 4, 3, p? 3/2 Let w = 27834 + -27833.999. What is the third biggest value in -0.15, -0.3, w? -0.3 Let d be ((-8)/(-10))/((-84)/12 + (-112)/(-35)). What is the biggest value in d, 5, -1? 5 Let o be (19/38)/(0 + -5 + 4). Let w = -3 + 0. Let y = w - -4. Which is the biggest value? (a) y (b) o (c) 2 c Let u be -2*5/20*-2. Let m be (102/17)/(-1 - u). Let w = 10.2 + -9.2. Which is the third biggest value? (a) w (b) -4 (c) m (d) -0.2 c Suppose -2*m + 574 = 4*v, -157 = -4*v - 3*m + 416. Suppose 16*u + 2*u - v = 0. Which is the third biggest value? (a) 1/2 (b) -1 (c) u (d) -3 b Let c = -0.8 - -0.8. What is the fourth smallest value in 2/5, -3, c, -2/3? 2/5 Let q(t) = -t**3 - 17*t**2 - 24*t + 34. Let p be q(-15). Let y = p + 223/4. Which is the fourth smallest value? (a) y (b) 0 (c) 7 (d) 1/3 c Let w(f) = f**2 + 23*f + 107. Let u be w(-16). Let r(k) = -17*k - 89. Let n be r(u). What is the third biggest value in 0.2, -2/9, -1/2, n? -1/2 Let z = -2.34 + 209.34. Let y be -3*(-3)/(-18) + 2 + 1/(-6). What is the second biggest value in y, z, -2/3? y Let k = -1496988997469/7701 - -194388911. Let f = -40/51 + k. Which is the third smallest value? (a) -1/3 (b) f (c) -1 b Suppose 3*h + 3*m - 6 + 0 = 0, 2 = -2*h - 5*m. Let x = 17487739/120471 + -70/9267. Let o = -145 + x. What is the second biggest value in -2/3, o, h? o Let u = -57 + 69. Suppose 0 = 9*h - 3*h - u. Let s be (-84)/35 - (-5 + h). Which is the smallest value? (a) 0.06 (b) 0.3 (c) s a Let s = -1.056 + 1.026. What is the biggest value in s, -1, 13? 13 Let z be ((-1)/(-2))/(29/58). Let n be (-1120)/(-24)*3*-1*z. Let q be (-60)/n + 0 + 10/(-56). Which is the second smallest value? (a) q (b) 4 (c) 0.4 c Let x be -3*11/297 - (-1)/(-3). Let p be (1 - -2)*(-23)/(-5). Let k = p - 14. What is the second smallest value in -0.4, -4, k, x? x Let w = 18937 + -19096. Which is the fourth smallest value? (a) 3/2 (b) -0.3 (c) -0.19 (d) w a Suppose -p = 2*p + 6. Let s be (-2)/p + -5 + 0. Let o = 550/207 - 56/23. Which is the biggest value? (a) s (b) o (c) -3 b Let l = -2759 - -2760. What is the fourth smallest value in l, -9, 6, -0.2? 6 Let c = 328.552 + -554.459. Let d = -226 - c. What is the smallest value in -1/3, d, 1? -1/3 Let j = 711 + -1307. Let h = 594 + j. What is the biggest value in 0.03, -2/7, h? 0.03 Let t = -4 + 7. Let h = 3.2 - t. Let i = -0.10043 - -1.10043. What is the second biggest value in i, h, 1/4? 1/4 Let f(h) = -5*h - 7. Let i be f(-2). What is the smallest value in -0.5, 5, -89, 0, i? -89 Let m be -3 - (1323/(-180))/((-1)/(-15)). Let h = -107 + m. Let t = -112 - -1230/11. Which is the second smallest value? (a) 3/11 (b) t (c)
{ "pile_set_name": "DM Mathematics" }
3*f. What is the tens digit of f? 9 Suppose -45*v + 189865 = 70*v. What is the units digit of v? 1 Let j(q) = q**3 - 6*q**2 + q + 6. Let o be j(6). Let p(a) = -14 + 5 + 21*a + o*a. What is the hundreds digit of p(5)? 1 Let b(c) = c**2 - 564 - 31*c + 7*c + 552. Let m be b(25). Let a = 37 + m. What is the tens digit of a? 5 Let v(z) = -z + 9. Let f be v(5). Suppose -f*j + 3 = -o + 2, 0 = -5*j - 4*o + 17. Suppose 2*w - 17 = j. What is the units digit of w? 9 Let c(k) = -2*k**3 + 4*k**2 + 10*k + 9. Let x be c(5). Let y(q) = 7*q**2 + 6*q - 7. Let n be y(-5). Let s = x + n. What is the units digit of s? 7 Suppose 10*a - 76 = 294. Let m = a + -34. Suppose g + m*y - 34 = 102, -3*g + 438 = 3*y. What is the hundreds digit of g? 1 Let b(o) = 42*o**2 - 4*o + 14. Let f be b(-5). Suppose -3*s - f = -2*a, -3*s + 1472 = -7*s - 4*a. What is the tens digit of ((-6)/(-4))/((-3)/s)? 8 Let c be 117/52*(-8)/(-6). Suppose -h - 26 = -c*h. Let w(d) = d**3 - 14*d**2 + 19*d + 10. What is the units digit of w(h)? 8 Let k = -178 - -4. Let h = -102 - k. What is the tens digit of h? 7 Let l(m) = 6*m**3 - 19*m**2 + 22*m - 55. What is the thousands digit of l(9)? 2 Suppose -4*h - 494 - 128 = -2*s, 3*s - 2*h - 957 = 0. What is the hundreds digit of s? 3 Let r = -27030 - -52605. What is the tens digit of r? 7 Let i = -202 - -202. Suppose u - a - 1748 = i, 10*u - 7*u + a = 5240. What is the hundreds digit of u? 7 Suppose p - 2*r - 627 = 458, -4*p + 4310 = -2*r. Suppose -11*x + 3215 + p = 0. What is the units digit of x? 0 Let h = 66 - 73. Let s(o) = -6*o - 22. Let d be s(h). Suppose -j = -3*p - d, 4*j + 2*p + 18 - 168 = 0. What is the units digit of j? 5 Suppose 2*b - 4*f - 107564 = 0, -7*b + 18*f + 376531 = 23*f. What is the hundreds digit of b? 7 Let j = 143 - 93. Let k = 80 - j. What is the units digit of k? 0 Let p(h) = -8 - 267*h**2 - 36 + 5*h - 5*h + 273*h**2 + 6*h. What is the hundreds digit of p(-8)? 2 Let k(m) = 21*m + 41. Let o(n) = -64*n - 122. Let f be 36/(-8) + 7 + 2/(-4). Let g(a) = f*o(a) + 7*k(a). What is the hundreds digit of g(7)? 1 Suppose 52 = 8*a - 12. Let t = -5 + a. What is the tens digit of 52 - -1 - (2 + t + -2)? 5 Suppose -8*k = 19 - 91. Suppose -6*a + k*a = -3, -3*a = -5*m + 648. What is the units digit of m? 9 Let v = -27 + 2. Let j be v/4 - ((-100)/16 + 6). What is the hundreds digit of (-826)/j - 8/12? 1 Suppose 33 - 33 = 3*c. Suppose 1613 = 3*i - 5*u, c = 3*i + 4*u - 542 - 1116. What is the tens digit of i? 4 Suppose 286*c = 266*c + 841660. What is the hundreds digit of c? 0 Suppose -84 = 4*f - 92. Suppose 3*o + 33 = 3*m, f*m - 3*o = -3*m + 65. What is the hundreds digit of 2/8 + 3148/m? 1 Let p = 769 + -54. Suppose -8723 = -11*i - p. What is the tens digit of i? 2 Let c = -2473 - -1669. Let l = 1287 + c. What is the units digit of l? 3 Let u(x) = 21*x - 227. Let s be u(11). Let j(r) = -19*r. Let d(o) = 37*o - 1. Let g(w) = -2*d(w) - 5*j(w). What is the tens digit of g(s)? 8 Let y be ((-6)/(-15))/((-1)/70 - 0). Suppose -4*x - 142 = -7*x - v, 4*v = 2*x - 118. Let g = x - y. What is the units digit of g? 7 Suppose 976500 = 143*d + 7*d. What is the hundreds digit of d? 5 Suppose r = 4*r - 3, -25134 = -3*o - 3*r. What is the units digit of o? 7 Let x be -6 + 10 + (2 + -3)*2. Let p be (-3)/x*((3 - 2) + -3). Suppose p*b - 64 = 116. What is the tens digit of b? 6 Let i = -803 + 24756. What is the ten thousands digit of i? 2 Let n(x) = 50*x + 205. Let g be n(-4). Suppose 0 = s - g, s - 4*s - 309 = -4*w. What is the units digit of w? 1 Suppose 4*y - 1436 = -4*o, 0*y - 3*o - 1787 = -5*y. Suppose -31 = -2*d + 389. Let j = y - d. What is the units digit of j? 8 Let z = 5391 - 3250. What is the units digit of z? 1 Let b(w) = -6*w**3 - 7*w**2 - 7*w + 5. Let m(z) = -z**3 + 6*z**2 - 3*z + 14. Let s be m(6). What is the tens digit of b(s)? 0 Suppose -10 = 5*c, 3*b + 5*c - 2334 = 7*b. Let y = b + 2288. What is the tens digit of y? 0 Let o = 4814 - -11343. What is the ten thousands digit of o? 1 Let f(h) = 155*h + 1614. What is the hundreds digit of f(58)? 6 Suppose -t = -5, 3*j + 2*t = j + 15854. What is the thousands digit of j? 7 Suppose 23*g - 8 = 22*g. Let h be -2 + ((-18)/g)/(2/(-8)). Let y(x) = x**3 - 8*x**2 + 11*x - 7. What is the units digit of y(h)? 1 Suppose -16*y = -12*y - 160. What is the units digit of ((-30)/y)/(5/(-140))? 1 Suppose -10 = -2*d, 2*u + 2*d - 3100 = 7178. What is the hundreds digit of u? 1 Let i = 395 - -59. Let j = 608 - 854. Let u = i + j. What is the hundreds digit of u? 2 Let a be ((-20)/(-6) + -4)/((-4)/18). Let n be (-9 - (-6)/(-2))*a/(-9). Suppose 4*i = m - 131 - 55, i = n*m - 669. What is the tens digit of m? 6 Let
{ "pile_set_name": "DM Mathematics" }
c = 528 - 370. Let i = c - 157.99999668. Round i to six decimal places. 0.000003 Suppose j = -4*j. Let c be j/(0 + 1 + -3). Suppose 3*b + 4*b + 23800000 = c. What is b rounded to the nearest one million? -3000000 Let t = 283.0000254 - 283. What is t rounded to 6 decimal places? 0.000025 Let w = 264 + -263.99999897. Round w to six decimal places. 0.000001 Let l = 526 + -526.0001943. Round l to 5 dps. -0.00019 Let v = 84 - 43. Let z = v - 41.17. Let j = z - -0.16931. What is j rounded to 4 dps? -0.0007 Let g = 17 - -52. Let q = -68.99999926 + g. What is q rounded to 7 decimal places? 0.0000007 Let o = -2005.1 + 2019.097. Let r = -14 + o. Let c = r - -0.00456. Round c to four dps. 0.0016 Let q = 27730.564 + -27686. Let a = q - -0.236. What is a rounded to 0 dps? 45 Suppose -8*n - 3*w - 39700006 = -7*n, -2*n + w = 79399998. What is n rounded to the nearest 1000000? -40000000 Let u = 0.0872 + -40.1872. Let a = u + 40.0999821. What is a rounded to six decimal places? -0.000018 Let s = 1848.0993 - 1848. Let h = s + -444.0993. Let l = h + 443.999821. What is l rounded to five dps? -0.00018 Let r = -971 + 970.999998934. What is r rounded to 7 dps? -0.0000011 Let o = 8665.4 - 7934. Round o to the nearest 100. 700 Let y = -1345.1758 + 1345. Round y to 2 decimal places. -0.18 Suppose -5*f + 32 = -48. Let k = f - 17. Let n(p) = 69*p**2 - 2*p - 1. Let q be n(k). What is q rounded to the nearest ten? 70 Let w = 104.837 + -104.3. Round w to two decimal places. 0.54 Let w = -1.42 + -100.38. Round w to the nearest integer. -102 Let b = 0.0447 - 5.4247. Round b to the nearest integer. -5 Let v = 548 + -581.2. What is v rounded to the nearest ten? -30 Let s be (-2340477)/(-12) - (-3)/12. Suppose 4*x = -3*n + 619840, -309920 = -2*x + 2*n - 4*n. Let y = x + s. What is y rounded to the nearest 100000? 400000 Let q(w) = -211*w**2 + 38*w - 167. Let n be q(17). What is n rounded to the nearest 10000? -60000 Let g = 0.85 + -0.15. Let d = g - 5. Let q = d + 4.3000135. Round q to six decimal places. 0.000014 Let a = 36.39 + -30.9. Round a to one decimal place. 5.5 Let m = 134.93 + -0.33. What is m rounded to the nearest 10? 130 Let c(w) = -119996*w + 7. Let k(z) = -179994*z + 10. Let s(r) = -8*c(r) + 5*k(r). Let j be s(-3). Round j to the nearest 100000. -200000 Let z = -119 + 132.6. Let c = -17.5 - z. Round c to the nearest 10. -30 Let s = 13.69148 + -13.53. Let i = -20.16118 + s. Let l = 20 + i. Round l to 3 dps. 0 Let p = 70 - 70.029. Round p to 2 decimal places. -0.03 Let x = 119 - 118.974. Round x to two dps. 0.03 Let b = 1.406 - 15.946. Let s = 14 + b. Let x = -0.54074 - s. What is x rounded to four dps? -0.0007 Let b = -90.236 - -90. Let d = b + 0.23729. Round d to four decimal places. 0.0013 Let p(m) = -3773*m + 11. Let q be p(7). Let w be 7 + -7 - (-1 + -1). Let t be (q/(-6))/(w/(-20)). Round t to the nearest ten thousand. -40000 Let h = -636692.197 + 271503523.197. Let z = h - 270866948.000109. Let i = -117 - z. What is i rounded to five decimal places? 0.00011 Let k = 3854.969762 - -1317390.03035. Let i = -1321229 + k. Let y = -16 + i. What is y rounded to five dps? 0.00011 Let b(y) = y**2 + 5*y + 3. Suppose 3*d + 9 + 24 = 0. Let q = 7 + d. Let z be b(q). What is z rounded to 1 dp? -1 Let w = 130 - -63. Let a = -192.99901 + w. Round a to four decimal places. 0.001 Let g = 45 - 45.31. Let u = g - -0.21. Let c = 0.0915 + u. What is c rounded to three dps? -0.009 Let b = -204 + 156.6. What is b rounded to the nearest ten? -50 Let w = -131.0002544 + 131. What is w rounded to five dps? -0.00025 Suppose 4*t + 5*m - 30240025 = 0, -30240020 = -4*t - 38*m + 34*m. Round t to the nearest 100000. 7600000 Suppose -963000 = -n + r, 408576 = -2*n - 4*r + 2334576. What is n rounded to the nearest 100000? 1000000 Let i = -0.48 - 21.52. Let m = 22.12 + i. Let x = m + -0.148. Round x to 2 dps. -0.03 Let i(l) = -514291*l + 5. Let z(r) = 3600040*r - 35. Let p(s) = -15*i(s) - 2*z(s). Let v = 0 - 7. Let o be p(v). What is o rounded to the nearest one million? -4000000 Let r = 2883628 - 2883628.54000155. Let w = -0.54 - r. Round w to seven dps. 0.0000016 Let z = 4.64171 + -0.08641. Let g = z - 4.58. What is g rounded to 3 decimal places? -0.025 Let f be (-1 + -2 + (-3)/(-3))*-2. Let t be (-200621 - f)/(6/(-16)). Round t to the nearest one hundred thousand. 500000 Suppose 63659980 = 18*k - 75606020. What is k rounded to the nearest 100000? 7700000 Let p(j) = 89*j + 3. Let w be p(14). Suppose -r = -4*a - w, 4*r - 1192 - 361 = 5*a. What is a rounded to the nearest ten? -310 Suppose 0*m - 2*m + 4400 = 0. Let p be (-165)/(-12)*m*20. Round p to the nearest 10000. 610000 Let u be ((-14)/(-7) - 3)*-16210. Round u to the nearest 1000. 16000 Let n(u) be the first derivative of 22503*u**2/2 + 48*u - 23. Let q be n(-16). Round q to the nearest one hundred thousand. -400000 Let m = -81.99 + 17.11. Let x = 44 + -110. Let z = x - m. What is z rounded to one decimal place? -1.1 Let y = 101.7 + 15.3. Let f = -117.0099 + y. Round f to 3 dps. -0
{ "pile_set_name": "DM Mathematics" }
d without replacement from {x: 1, t: 3, b: 4, q: 4, a: 4}? 1/1820 Two letters picked without replacement from {b: 9, q: 9}. Give prob of picking 2 q. 4/17 Calculate prob of picking 2 m when two letters picked without replacement from bbbnmumnmombummonqoo. 3/38 Calculate prob of picking 1 f and 2 w when three letters picked without replacement from {f: 15, c: 2, w: 3}. 3/76 Four letters picked without replacement from wwkwwwwwkkwwww. What is prob of picking 2 k and 2 w? 15/91 What is prob of picking 2 k when two letters picked without replacement from kkjkjk? 2/5 What is prob of picking 2 x when two letters picked without replacement from {p: 2, z: 1, w: 1, v: 1, x: 2, m: 1}? 1/28 Two letters picked without replacement from {l: 17, a: 2}. What is prob of picking 2 a? 1/171 What is prob of picking 2 u, 1 e, and 1 d when four letters picked without replacement from euuedeedeuuudeudu? 18/85 Four letters picked without replacement from {d: 3, s: 3, i: 1}. Give prob of picking 2 s and 2 d. 9/35 What is prob of picking 1 l, 1 k, and 2 h when four letters picked without replacement from {l: 4, k: 3, u: 1, h: 2, f: 6}? 3/455 Two letters picked without replacement from cbooobocbooo. Give prob of picking 2 c. 1/66 Calculate prob of picking 2 i and 1 d when three letters picked without replacement from diddisddccdc. 3/110 Four letters picked without replacement from {b: 2, e: 4, l: 1, a: 4, k: 5}. What is prob of picking 2 e and 2 a? 9/455 Two letters picked without replacement from {j: 3, k: 4, t: 4}. What is prob of picking 2 t? 6/55 What is prob of picking 3 d when three letters picked without replacement from {h: 3, d: 5, g: 3}? 2/33 Two letters picked without replacement from {g: 3, z: 5, c: 1, w: 4}. What is prob of picking 1 w and 1 g? 2/13 Calculate prob of picking 2 o when two letters picked without replacement from {o: 18, t: 2}. 153/190 Calculate prob of picking 3 o when three letters picked without replacement from {g: 4, z: 2, o: 10}. 3/14 Two letters picked without replacement from uuauaaauau. Give prob of picking 1 a and 1 u. 5/9 Two letters picked without replacement from {u: 11, s: 3}. What is prob of picking 2 s? 3/91 What is prob of picking 1 o and 1 g when two letters picked without replacement from ohogrorovvwg? 4/33 What is prob of picking 1 x, 2 k, and 1 h when four letters picked without replacement from kxhqhkqqqkhhxkxq? 18/455 Calculate prob of picking 1 w and 2 u when three letters picked without replacement from ccwcxxusxxxxux. 1/364 What is prob of picking 1 f and 1 y when two letters picked without replacement from sfssfyfyfs? 8/45 What is prob of picking 2 s and 1 c when three letters picked without replacement from cncdpcccsdcsdscd? 3/80 Two letters picked without replacement from blbbrrtjbt. What is prob of picking 2 t? 1/45 Two letters picked without replacement from aacxraacr. What is prob of picking 2 a? 1/6 Two letters picked without replacement from {j: 1, o: 6, c: 2, p: 2, r: 3, z: 1}. What is prob of picking 2 r? 1/35 Three letters picked without replacement from {u: 1, n: 5, a: 7, k: 1, i: 5, p: 1}. Give prob of picking 1 a, 1 k, and 1 i. 7/228 What is prob of picking 1 c and 1 m when two letters picked without replacement from mcmmmc? 8/15 What is prob of picking 1 c and 1 a when two letters picked without replacement from {a: 3, z: 4, c: 1}? 3/28 What is prob of picking 2 r when two letters picked without replacement from {o: 7, r: 2}? 1/36 Three letters picked without replacement from wzzwzzwwzz. What is prob of picking 3 w? 1/30 Two letters picked without replacement from bbkbbkb. Give prob of picking 2 b. 10/21 Two letters picked without replacement from upfvuxbxb. What is prob of picking 1 x and 1 p? 1/18 Calculate prob of picking 2 f and 2 k when four letters picked without replacement from {k: 2, f: 5}. 2/7 Calculate prob of picking 2 r and 2 m when four letters picked without replacement from {r: 8, z: 4, o: 1, m: 2, d: 1}. 1/65 Three letters picked without replacement from qnctncqk. Give prob of picking 1 k and 2 q. 1/56 Four letters picked without replacement from ekcikeekceecekc. Give prob of picking 3 i and 1 k. 0 Calculate prob of picking 1 k, 1 r, and 1 x when three letters picked without replacement from {r: 2, v: 5, k: 1, x: 1}. 1/42 What is prob of picking 1 c and 2 x when three letters picked without replacement from exgcxxxxe? 5/42 Calculate prob of picking 2 i and 2 j when four letters picked without replacement from {w: 3, i: 4, z: 7, j: 5}. 5/323 What is prob of picking 2 b when two letters picked without replacement from {b: 7, p: 1}? 3/4 Two letters picked without replacement from plpqcffuq. What is prob of picking 1 u and 1 l? 1/36 Two letters picked without replacement from xxqqqxxxxx. What is prob of picking 2 q? 1/15 Calculate prob of picking 1 l and 2 c when three letters picked without replacement from nclnlcncn. 1/14 What is prob of picking 1 e and 1 o when two letters picked without replacement from {o: 4, q: 1, r: 1, j: 9, e: 4, b: 1}? 8/95 Calculate prob of picking 4 z when four letters picked without replacement from zjzzzjzzjjzzj. 14/143 Two letters picked without replacement from {o: 2, w: 4}. What is prob of picking 2 w? 2/5 Four letters picked without replacement from {a: 9, j: 7, v: 3}. What is prob of picking 4 j? 35/3876 What is prob of picking 1 c, 1 t, and 2 n when four letters picked without replacement from cnnntnnnnjjjntjjc? 4/85 Calculate prob of picking 2 i when two letters picked without replacement from uluucluiiuilcuuuclul. 3/190 What is prob of picking 3 x when three letters picked without replacement from {x: 5, o: 2}? 2/7 Four letters picked without replacement from tetjtrrtjttrjt. What is prob of picking 3 t and 1 e? 5/143 Three letters picked without replacement from seeesxxxee. What is prob of picking 1 x, 1 s, and 1 e? 1/4 Four letters picked without replacement from {c: 9, g: 11}. What is prob of picking 4 g? 22/323 What is prob of picking 1 q and 2 z when three letters picked without replacement from zzhzzhzqzhqqhz? 9/52 Calculate prob of picking 2 i and 2 u when four letters picked without replacement from uiuuuuuuiuiiiuuu. 55/182 Two letters picked without replacement from xfffffx. What is prob of picking 2 f? 10/21 Calculate prob of picking 1 u and 3 k when four letters picked without replacement from uuukukuuuuuuku. 1/91 Calculate prob of picking 4 c when four letters picked without replacement from {r: 2, c: 9}. 21/55 What is prob of picking 1 w and 1 x when two letters picked without replacement from jjjjjjjjwjjjjjjxjjj? 1/171 Two letters picked without replacement from {f: 8, s: 2, v: 2, t: 1}. Give prob of picking 2 s. 1/78 Calculate prob of picking 1 t and 2 p when three letters picked without replacement from {k: 1, v:
{ "pile_set_name": "DM Mathematics" }
divisor of 99 and 66? 33 What is the greatest common divisor of 470 and 188? 94 What is the highest common divisor of 8710 and 520? 130 Calculate the greatest common divisor of 242 and 9075. 121 What is the greatest common divisor of 56 and 1264? 8 Calculate the highest common factor of 138 and 3657. 69 What is the highest common factor of 481 and 74? 37 Calculate the highest common factor of 880 and 32. 16 What is the highest common factor of 3 and 2295? 3 Calculate the greatest common factor of 515 and 3193. 103 What is the greatest common divisor of 13 and 533? 13 What is the greatest common factor of 611 and 26? 13 What is the highest common divisor of 4288 and 128? 64 What is the highest common divisor of 28 and 182? 14 What is the greatest common divisor of 8 and 11? 1 What is the greatest common divisor of 301 and 1247? 43 What is the greatest common factor of 75 and 585? 15 What is the highest common divisor of 145 and 377? 29 What is the highest common factor of 141 and 235? 47 What is the highest common divisor of 65 and 4745? 65 Calculate the greatest common factor of 40 and 3340. 20 Calculate the greatest common divisor of 35 and 1070. 5 Calculate the greatest common divisor of 9 and 15. 3 What is the highest common divisor of 11 and 55? 11 Calculate the greatest common factor of 342 and 456. 114 What is the greatest common divisor of 19 and 1539? 19 Calculate the greatest common divisor of 24 and 88. 8 Calculate the highest common factor of 8 and 32. 8 What is the greatest common divisor of 1950 and 775? 25 Calculate the greatest common factor of 253 and 529. 23 Calculate the highest common divisor of 144 and 5580. 36 What is the greatest common divisor of 21 and 56? 7 What is the highest common factor of 1385 and 5? 5 Calculate the greatest common factor of 85 and 1445. 85 What is the highest common divisor of 12 and 678? 6 What is the greatest common divisor of 1364 and 155? 31 What is the highest common divisor of 1219 and 1484? 53 Calculate the greatest common factor of 6 and 162. 6 Calculate the greatest common factor of 100 and 25. 25 What is the greatest common factor of 13 and 10777? 13 What is the highest common factor of 98 and 42? 14 Calculate the greatest common factor of 259 and 133. 7 Calculate the greatest common factor of 2712 and 3. 3 Calculate the greatest common divisor of 6181 and 7. 7 Calculate the greatest common factor of 153 and 360. 9 What is the greatest common divisor of 4136 and 1316? 188 What is the greatest common factor of 48 and 384? 48 What is the highest common factor of 38 and 114? 38 Calculate the highest common divisor of 300 and 480. 60 What is the highest common divisor of 630 and 14? 14 Calculate the greatest common divisor of 10 and 970. 10 What is the highest common divisor of 40078 and 58? 58 Calculate the highest common factor of 139217 and 13. 13 Calculate the greatest common factor of 315 and 300. 15 What is the highest common factor of 2035 and 110? 55 What is the highest common factor of 1508 and 1040? 52 What is the highest common factor of 95 and 3610? 95 Calculate the highest common factor of 66 and 8. 2 What is the highest common divisor of 44 and 1969? 11 Calculate the highest common factor of 282 and 188. 94 Calculate the greatest common divisor of 36 and 1464. 12 Calculate the highest common factor of 30 and 18315. 15 What is the greatest common factor of 156 and 96? 12 Calculate the highest common divisor of 981 and 3161. 109 What is the highest common factor of 3815 and 805? 35 Calculate the highest common factor of 82 and 738. 82 Calculate the greatest common factor of 55 and 20. 5 What is the greatest common divisor of 80 and 8048? 16 Calculate the highest common factor of 878 and 14. 2 What is the highest common factor of 42 and 105? 21 What is the highest common divisor of 3103 and 29? 29 What is the highest common factor of 48 and 256? 16 What is the greatest common factor of 800 and 50? 50 What is the highest common divisor of 33 and 519? 3 What is the greatest common divisor of 75 and 1545? 15 What is the greatest common divisor of 432 and 256? 16 What is the highest common divisor of 1045 and 22? 11 What is the greatest common divisor of 74 and 18500? 74 Calculate the greatest common factor of 9 and 51. 3 Calculate the highest common factor of 3234 and 1029. 147 What is the greatest common factor of 38372 and 318? 106 What is the highest common divisor of 345 and 2208? 69 What is the greatest common divisor of 43766 and 158? 158 What is the greatest common divisor of 374 and 66? 22 Calculate the greatest common divisor of 312 and 39. 39 What is the highest common divisor of 2703 and 459? 51 What is the greatest common divisor of 1276 and 1856? 116 Calculate the highest common factor of 2214 and 216. 54 Calculate the highest common factor of 13 and 3250. 13 Calculate the highest common factor of 63 and 3. 3 Calculate the greatest common divisor of 270 and 9000. 90 What is the greatest common divisor of 28 and 42? 14 What is the highest common divisor of 154 and 70? 14 Calculate the greatest common factor of 208 and 176. 16 What is the greatest common factor of 130 and 480? 10 Calculate the greatest common divisor of 650 and 26. 26 What is the greatest common divisor of 12985 and 53? 53 Calculate the greatest common divisor of 57 and 2147. 19 Calculate the highest common divisor of 8 and 196. 4 Calculate the highest common divisor of 30 and 24690. 30 What is the highest common divisor of 1 and 25? 1 What is the greatest common divisor of 209 and 76? 19 What is the greatest common divisor of 5 and 55? 5 Calculate the highest common factor of 13050 and 45. 45 What is the highest common divisor of 6 and 15? 3 Calculate the greatest common divisor of 400 and 220. 20 What is the highest common factor of 333 and 18500? 37 What is the highest common factor of 23 and 391? 23 Calculate the greatest common divisor of 34 and 391. 17 Calculate the greatest common factor of 2401 and 224. 7 Calculate the highest common factor of 18 and 522. 18 Calculate the highest common factor of 5250 and 84. 42 Calculate the highest common divisor of 1593 and 27. 27 Calculate the greatest common divisor of 960 and 90. 30 Calculate the greatest common divisor of 85 and 10. 5 Calculate the greatest common divisor of 24 and 1968. 24 Calculate the highest common divisor of 3239 and 553. 79 What is the highest common divisor of 171 and 76? 19 What is the highest common factor of 9 and 6471? 9 What is the greatest common factor of 531 and 118? 59 What is the highest common divisor of 396 and 308? 44 What is the greatest common divisor of 62 and 961? 31 What is the greatest common divisor of 95 and 171? 19 Calculate the greatest common divisor of 198 and 550. 22 What is the greatest common factor of 72 and 900? 36 What is the highest common divisor of 29 and 261? 29 Calculate the highest common divisor of 1508 and 208. 52 Calculate the highest common divisor of 158 and 9401. 79 Calculate the greatest common factor of 22 and 10. 2 Calculate the greatest common factor of 728 and 104. 104 What is the greatest common divisor of 28 and 350? 14 What is the greatest common factor of 560 and 21? 7 What is the highest common divisor of 100 and 130300? 100 What is the highest common divisor of 507 and 312? 39 What is the greatest common factor of 32 and 9056? 32 What is the greatest common factor of 555 and 45? 15 What is the greatest common divisor of 770 and 7920? 110 What is the greatest common divisor of 130 and 50? 10 Calculate the highest common factor of 100 and 80. 20 What is the highest common divisor of 10 and 250? 10 What is the greatest common divisor of 117 and 1443? 39 What is the greatest common divisor of 224 and 777? 7 Calculate the highest common divisor of 2509 and 13. 13 Calculate the highest common divisor of 26 and 14794. 26 Calculate the highest common factor of 86 and 4. 2 What is the greatest common factor of
{ "pile_set_name": "DM Mathematics" }
of 1922, 7147, 15854, 28043, 43714, 62867, 85502? 1741*q**2 + 2*q + 179 What is the j'th term of -195226, -390453, -585680? -195227*j + 1 What is the h'th term of 200, 408, 616, 824? 208*h - 8 What is the u'th term of 1892, 15277, 51608, 122357, 238996, 412997, 655832, 978973? 1912*u**3 + u**2 - 2*u - 19 What is the j'th term of 1000, 3969, 8924, 15871, 24816, 35765, 48724, 63699? j**3 + 987*j**2 + j + 11 What is the t'th term of 2003, 1909, 1815, 1721, 1627, 1533? -94*t + 2097 What is the s'th term of 553, 1082, 1611? 529*s + 24 What is the c'th term of 790, 823, 856, 889, 922, 955? 33*c + 757 What is the v'th term of -39609, -39595, -39579, -39561, -39541, -39519, -39495? v**2 + 11*v - 39621 What is the a'th term of 110662, 221323, 331984, 442645, 553306, 663967? 110661*a + 1 What is the v'th term of 141156, 141153, 141150, 141147? -3*v + 141159 What is the c'th term of -6161, -12315, -18469, -24623, -30777, -36931? -6154*c - 7 What is the q'th term of -1033578, -2067160, -3100754, -4134366, -5168002, -6201668, -7235370, -8269114? -q**3 - 1033575*q - 2 What is the f'th term of 63473, 63474, 63475? f + 63472 What is the x'th term of -211, -1068, -2555, -4666, -7395? x**3 - 321*x**2 + 99*x + 10 What is the z'th term of 5879, 11761, 17643, 23525, 29407? 5882*z - 3 What is the s'th term of 128473, 128464, 128455, 128446, 128437, 128428? -9*s + 128482 What is the y'th term of 20755, 20739, 20707, 20653, 20571, 20455, 20299, 20097? -y**3 - 2*y**2 - 3*y + 20761 What is the c'th term of -45, -41, -41, -51, -77, -125? -c**3 + 4*c**2 - c - 47 What is the z'th term of -13813, -27524, -41235, -54946, -68657, -82368? -13711*z - 102 What is the l'th term of -61324, -61319, -61312, -61303, -61292, -61279, -61264? l**2 + 2*l - 61327 What is the w'th term of -146, -199, -290, -419, -586? -19*w**2 + 4*w - 131 What is the u'th term of -6105, -24460, -55061, -97908, -153001? -6123*u**2 + 14*u + 4 What is the v'th term of 19601, 19612, 19635, 19676, 19741, 19836, 19967, 20140? v**3 + 4*v + 19596 What is the z'th term of -4457, -4256, -4089, -3974, -3929? -3*z**3 + z**2 + 219*z - 4674 What is the w'th term of -16396, -32765, -49134, -65503, -81872? -16369*w - 27 What is the y'th term of 28, 45, 90, 175, 312, 513, 790? 2*y**3 + 2*y**2 - 3*y + 27 What is the n'th term of -281300, -281299, -281298? n - 281301 What is the i'th term of -28107, -56210, -84301, -112374, -140423, -168442? i**3 - 28110*i + 2 What is the b'th term of 12335, 49310, 110947, 197252, 308231? b**3 + 12325*b**2 - 7*b + 16 What is the u'th term of -267, -616, -965, -1314, -1663? -349*u + 82 What is the o'th term of -867, -41, 1335, 3261, 5737, 8763, 12339? 275*o**2 + o - 1143 What is the v'th term of 439, 876, 1253, 1540, 1707? -5*v**3 + 472*v - 28 What is the v'th term of -1910, -1918, -1926, -1934? -8*v - 1902 What is the n'th term of -60182, -60190, -60198? -8*n - 60174 What is the i'th term of -828, -839, -858, -885, -920, -963, -1014? -4*i**2 + i - 825 What is the t'th term of 400, 886, 1372, 1858, 2344, 2830? 486*t - 86 What is the l'th term of 15279, 15249, 15195, 15105, 14967? -2*l**3 - 16*l + 15297 What is the w'th term of -17, -26, -29, -26, -17, -2, 19? 3*w**2 - 18*w - 2 What is the b'th term of -2438, -4872, -7298, -9716, -12126? 4*b**2 - 2446*b + 4 What is the p'th term of -1590, -1579, -1568, -1557? 11*p - 1601 What is the o'th term of -235, -498, -757, -1012, -1263, -1510? 2*o**2 - 269*o + 32 What is the b'th term of -102, -39, 14, 51, 66, 53, 6? -b**3 + b**2 + 67*b - 169 What is the x'th term of -53, -252, -535, -902? -42*x**2 - 73*x + 62 What is the d'th term of -310, -622, -956, -1312? -11*d**2 - 279*d - 20 What is the m'th term of 266, 595, 968, 1379, 1822, 2291? -m**3 + 28*m**2 + 252*m - 13 What is the o'th term of 7613, 7635, 7657, 7679, 7701, 7723? 22*o + 7591 What is the d'th term of 88, 373, 766, 1201, 1612, 1933? -11*d**3 + 120*d**2 + 2*d - 23 What is the d'th term of -268, -696, -1448, -2686, -4572, -7268, -10936? -27*d**3 - 239*d - 2 What is the g'th term of 624, 4798, 16134, 38214, 74620, 128934, 204738? 597*g**3 - g**2 - 2*g + 30 What is the d'th term of -268, -100, 68, 236, 404? 168*d - 436 What is the r'th term of 273083, 546169, 819253, 1092335? -r**2 + 273089*r - 5 What is the s'th term of -6042, -12087, -18136, -24189? -2*
{ "pile_set_name": "DM Mathematics" }
ctor of 11983374? False Is 14083985 a multiple of 36? False Does 647 divide 262218748? True Does 75 divide 26502446? False Is 2466496680 a multiple of 753? True Is 12 a factor of 248109468? True Is 1759391578 a multiple of 60? False Does 33 divide 323113641? False Is 18 a factor of 2639736? True Is 1779751633 a multiple of 11? True Does 8 divide 318623528? True Is 10 a factor of 152328807? False Is 108824242 a multiple of 2588? False Is 84 a factor of 25626709? False Is 778236672 a multiple of 32? True Is 288 a factor of 14693394? False Is 116 a factor of 14022892? True Does 18 divide 8983385875? False Is 922698 a multiple of 54? True Is 58 a factor of 28261196? True Is 8770950 a multiple of 267? True Does 2525 divide 118989659? False Is 175467708 a multiple of 108? True Is 1159578600 a multiple of 311? False Does 22 divide 1198635355? False Is 207457257 a multiple of 57? True Is 2346 a factor of 183694146? True Does 439 divide 2842452624? False Does 49 divide 27640362? False Is 1531596 a multiple of 44? True Is 2 a factor of 125415736? True Is 628 a factor of 89186053? False Does 2336 divide 4695062693? False Is 18 a factor of 216987471? False Is 11 a factor of 255408771? False Is 61778943 a multiple of 69? True Is 354819744 a multiple of 24? True Is 172533034 a multiple of 34? True Is 2970149420 a multiple of 70? True Is 1690608570 a multiple of 21? True Does 24 divide 1247692920? True Is 12247979 a multiple of 15? False Is 21 a factor of 25803133? False Is 4 a factor of 74556487? False Is 407544166 a multiple of 2269? True Does 1757 divide 276130120? True Is 212870178 a multiple of 519? False Does 1136 divide 646826893? False Does 121 divide 304461652? True Is 36 a factor of 624318768? True Is 485 a factor of 571553128? False Is 26178642 a multiple of 99? False Is 10 a factor of 18577041? False Is 5 a factor of 873168056? False Is 25 a factor of 518404200? True Does 113 divide 76971306? True Is 176907072 a multiple of 5? False Does 416 divide 1780449182? False Is 70666232 a multiple of 8? True Does 5 divide 28486911? False Does 22 divide 14369674? True Is 34 a factor of 62575572? True Does 365 divide 113391995? True Does 921 divide 167311313? False Does 1490 divide 272512258? False Is 409 a factor of 907773590? False Is 31 a factor of 15773061? False Is 27457691 a multiple of 201? False Is 86831312 a multiple of 196? False Is 2137289346 a multiple of 3315? False Is 1248851 a multiple of 14? False Does 1687 divide 179513670? True Does 495 divide 10575983? False Is 7 a factor of 2301739? False Is 34709305 a multiple of 404? False Does 205 divide 33065793? False Is 291835064 a multiple of 1950? False Is 79386457 a multiple of 6? False Is 5678752 a multiple of 54? False Is 1991 a factor of 539577083? False Is 451 a factor of 1267214839? True Does 160 divide 338552480? True Is 3032 a factor of 340708872? True Is 17 a factor of 3437315? True Is 1461333726 a multiple of 4047? False Does 23 divide 860799587? True Is 538 a factor of 184885873? False Is 4 a factor of 10520707? False Is 2227 a factor of 880386548? True Is 181 a factor of 392928013? True Does 183 divide 467977997? False Is 750 a factor of 1192434396? False Is 1468 a factor of 28847668? True Does 475 divide 1412745950? True Is 654 a factor of 4186885609? False Does 666 divide 1174824? True Is 27325904 a multiple of 16? True Does 19 divide 888683238? True Is 3892056 a multiple of 21? True Is 71 a factor of 163483059? False Is 35 a factor of 12283563? False Is 116307664 a multiple of 22? True Does 46 divide 5413857? False Does 137 divide 1002042660? True Does 17 divide 67686609? False Is 34 a factor of 97648136? True Does 13 divide 327334826? True Is 94912413 a multiple of 771? True Does 8 divide 3527176? True Is 1338 a factor of 16906298? False Does 7 divide 195454511? True Is 2830 a factor of 1473349275? False Does 1226 divide 31291259? False Does 41 divide 26543691? False Is 45461202 a multiple of 1825? False Is 25354115 a multiple of 373? False Is 386407177 a multiple of 73? True Does 13 divide 75575630? True Is 85306920 a multiple of 15? True Does 61 divide 188168124? False Does 4 divide 72709445? False Is 399458371 a multiple of 418? False Does 1863 divide 80634152? False Is 7947 a factor of 2872008674? False Is 54296424 a multiple of 9? True Is 666147966 a multiple of 65? False Is 21 a factor of 12953888? False Is 6791 a factor of 1018473434? True Is 54392300 a multiple of 20? True Is 180 a factor of 223235322? False Does 2 divide 1109347? False Is 46711467 a multiple of 99? True Is 348411534 a multiple of 494? False Is 99 a factor of 489580740? True Is 15 a factor of 4746112? False Does 105 divide 736136283? False Is 30 a factor of 6251467? False Is 34650893 a multiple of 139? True Is 2279858044 a multiple of 79? False Is 77 a factor of 26694591? True Does 16 divide 42246329? False Is 5299605 a multiple of 1965? True Is 516467582 a multiple of 141? False Does 45 divide 270344880? True Is 141779958 a multiple of 138? True Is 6010370 even? True Does 819 divide 598046085? True Does 21 divide 14039138? False Is 47411082 a multiple of 189? False Is 10 a factor of 914487210? True Does 1120 divide 128872835? False Does 358 divide 294309294? True Is 309241607 a multiple of 127? False Does 74 divide 42841042? True Is 45263416 a multiple of 2663? False Is 1217148339 a multiple of 8809? True Does 15 divide 47478240? True Is 2004 a factor of 115051644? True Is 6890 a factor of 392778230? True Is 11167167 a multiple of 1022? False Is 4 a factor of 149215064? True Is 436 a factor of 7255766? False Does 67 divide 30650289? True Does 15 divide 1689743899? False Is 14 a factor of 203101122? True Is 254 a factor of 201966322? True Does 2 divide 2052328? True Does 1941 divide 163950447? True Is 2
{ "pile_set_name": "DM Mathematics" }
40127 List the prime factors of 1217. 1217 What are the prime factors of 3507? 3, 7, 167 List the prime factors of 43321. 43321 What are the prime factors of 52013? 13, 4001 List the prime factors of 4837. 7, 691 List the prime factors of 442. 2, 13, 17 List the prime factors of 39151. 7, 17, 47 What are the prime factors of 5970? 2, 3, 5, 199 List the prime factors of 192715. 5, 38543 List the prime factors of 19128. 2, 3, 797 What are the prime factors of 4897? 59, 83 What are the prime factors of 565? 5, 113 What are the prime factors of 7897? 53, 149 List the prime factors of 27420. 2, 3, 5, 457 List the prime factors of 72528. 2, 3, 1511 List the prime factors of 621. 3, 23 What are the prime factors of 2744? 2, 7 List the prime factors of 78892. 2, 11, 163 List the prime factors of 27528. 2, 3, 31, 37 What are the prime factors of 8889? 3, 2963 List the prime factors of 40872. 2, 3, 13, 131 List the prime factors of 4140. 2, 3, 5, 23 What are the prime factors of 1403? 23, 61 What are the prime factors of 34990? 2, 5, 3499 List the prime factors of 32283. 3, 17, 211 List the prime factors of 6589. 11, 599 List the prime factors of 27887. 79, 353 What are the prime factors of 62239? 109, 571 List the prime factors of 1014. 2, 3, 13 List the prime factors of 1831. 1831 List the prime factors of 19676. 2, 4919 What are the prime factors of 28805? 5, 7, 823 List the prime factors of 70450. 2, 5, 1409 What are the prime factors of 5980? 2, 5, 13, 23 What are the prime factors of 11611? 17, 683 What are the prime factors of 2232? 2, 3, 31 List the prime factors of 1385. 5, 277 List the prime factors of 99664. 2, 6229 List the prime factors of 6400. 2, 5 What are the prime factors of 52912? 2, 3307 List the prime factors of 30799. 19, 1621 What are the prime factors of 13389? 3, 4463 List the prime factors of 52457. 52457 What are the prime factors of 60143? 137, 439 List the prime factors of 73391. 79, 929 List the prime factors of 44969. 193, 233 What are the prime factors of 1016? 2, 127 What are the prime factors of 9087? 3, 13, 233 What are the prime factors of 79533? 3, 8837 List the prime factors of 1231. 1231 List the prime factors of 1937. 13, 149 List the prime factors of 50785. 5, 7, 1451 List the prime factors of 68933. 29, 2377 What are the prime factors of 2645? 5, 23 What are the prime factors of 35144? 2, 23, 191 What are the prime factors of 101298? 2, 3, 16883 What are the prime factors of 5030? 2, 5, 503 List the prime factors of 953. 953 What are the prime factors of 4604? 2, 1151 List the prime factors of 13136. 2, 821 What are the prime factors of 11565? 3, 5, 257 List the prime factors of 3045. 3, 5, 7, 29 List the prime factors of 19781. 131, 151 List the prime factors of 50863. 19, 2677 List the prime factors of 5949. 3, 661 List the prime factors of 499. 499 List the prime factors of 555. 3, 5, 37 List the prime factors of 4699. 37, 127 What are the prime factors of 13951? 7, 1993 What are the prime factors of 9371? 9371 What are the prime factors of 766? 2, 383 What are the prime factors of 5021? 5021 What are the prime factors of 28452? 2, 3, 2371 List the prime factors of 3082. 2, 23, 67 List the prime factors of 1564. 2, 17, 23 List the prime factors of 20527. 13, 1579 List the prime factors of 862. 2, 431 What are the prime factors of 34865? 5, 19, 367 List the prime factors of 25203. 3, 31, 271 What are the prime factors of 8400? 2, 3, 5, 7 List the prime factors of 8496. 2, 3, 59 List the prime factors of 15057. 3, 7, 239 What are the prime factors of 252? 2, 3, 7 What are the prime factors of 165? 3, 5, 11 List the prime factors of 1007. 19, 53 What are the prime factors of 3062? 2, 1531 List the prime factors of 448. 2, 7 What are the prime factors of 14494? 2, 7247 What are the prime factors of 1366? 2, 683 What are the prime factors of 1205? 5, 241 What are the prime factors of 144298? 2, 7, 11, 937 List the prime factors of 14641. 11 What are the prime factors of 20649? 3, 6883 List the prime factors of 771. 3, 257 What are the prime factors of 1449? 3, 7, 23 What are the prime factors of 2988? 2, 3, 83 What are the prime factors of 885? 3, 5, 59 What are the prime factors of 32243? 19, 1697 What are the prime factors of 33105? 3, 5, 2207 What are the prime factors of 13598? 2, 13, 523 What are the prime factors of 13650? 2, 3, 5, 7, 13 What are the prime factors of 27377? 7, 3911 List the prime factors of 518. 2, 7, 37 What are the prime factors of 74544? 2, 3, 1553 List the prime factors of 7010. 2, 5, 701 List the prime factors of 815. 5, 163 What are the prime factors of 499? 499 List the prime factors of 4071. 3, 23, 59 List the prime factors of 26517. 3, 8839 What are the prime factors of 4592? 2, 7, 41 What are the prime factors of 93? 3, 31 What are the prime factors of 7759? 7759 What are the prime factors of 148817? 148817 List the prime factors of 56077. 7, 8011 List the prime factors of 1749. 3, 11, 53 List the prime factors of 3243. 3, 23, 47 List the prime factors of 994. 2, 7, 71 What are the prime factors of 1990? 2, 5, 199 List the prime factors of 24359. 24359 List the prime factors of 8647. 8647 What are the prime factors of 30107? 7, 11, 17, 23 What are the prime factors of 159735? 3, 5, 23, 463 What are the prime factors of 11036? 2, 31, 89 What are the prime factors of 5870? 2, 5, 587 What are the prime factors of 4736? 2, 37 List the prime factors of 785. 5, 157 What are the prime factors of 5900? 2, 5, 59 What are the prime factors of 1278? 2, 3, 71 What are the prime factors of 1968? 2, 3, 41 List the prime factors of 3806. 2, 11, 173 List the prime factors of 7592. 2, 13, 73 What are the prime factors of 704? 2, 11 List the prime factors of 7. 7 What are the prime factors of 4905? 3, 5, 109 List the prime factors of 364. 2, 7, 13 List the prime factors of 4670. 2, 5, 467 What are the prime factors of 1208? 2, 151 List the prime factors of 529. 23 What are the prime factors of 3206? 2, 7, 229 List the prime factors
{ "pile_set_name": "DM Mathematics" }
943 a prime number? True Is 5408857 a composite number? False Is 20093 a composite number? True Is 1709 prime? True Is 2191 a prime number? False Is 272683 a prime number? True Is 4741 prime? False Is 31793 a composite number? False Is 58361 prime? False Is 34217 a composite number? False Is 33541 composite? True Is 569111 a prime number? True Is 738299 composite? True Is 705899 a composite number? False Is 184971 a prime number? False Is 244691 composite? False Is 61431 composite? True Is 102513 a composite number? True Is 67679 composite? False Is 4681973 composite? False Is 200387 prime? False Is 114503 a prime number? False Is 19913 a composite number? False Is 172999 composite? False Is 624643 composite? False Is 381091 a prime number? False Is 73501 prime? False Is 666907 composite? True Is 32629 a prime number? False Is 11383 a composite number? False Is 77417 prime? True Is 333977 a prime number? False Is 134909 prime? True Is 5935 a prime number? False Is 239231 composite? False Is 1694879 prime? True Is 21071 composite? True Is 10687 prime? True Is 37337 a composite number? False Is 1621909 a prime number? True Is 4079 a composite number? False Is 53123 a composite number? True Is 424769 a prime number? True Is 6690517 a composite number? False Is 123161 a prime number? False Is 1440107 composite? False Is 5971 a prime number? False Is 2074082 a prime number? False Is 9589 composite? True Is 25778 composite? True Is 20323 prime? True Is 3593 a composite number? False Is 197867 a composite number? True Is 24943 composite? False Is 24233 a composite number? True Is 1229 composite? False Is 2171 a composite number? True Is 2203 prime? True Is 93109 prime? False Is 2237 a prime number? True Is 1391 a composite number? True Is 3287 composite? True Is 220231 a prime number? False Is 1749093 prime? False Is 44351 a composite number? False Is 2446473 prime? False Is 12197 prime? True Is 14369 a composite number? False Is 50473 a prime number? False Is 3841 composite? True Is 514109 prime? False Is 212557 a composite number? False Is 4429 a prime number? False Is 14759 a composite number? False Is 485935 prime? False Is 6521 a composite number? False Is 109657 composite? True Is 865 a composite number? True Is 1271554 prime? False Is 2819 prime? True Is 112757 prime? True Is 7509 composite? True Is 115147 prime? False Is 6295 composite? True Is 48713 a composite number? True Is 8077 a prime number? False Is 8779 prime? True Is 705583 composite? True Is 1043 a composite number? True Is 423601 a prime number? True Is 3163651 composite? True Is 383987 a composite number? False Is 87422 composite? True Is 81793 a composite number? True Is 807955 prime? False Is 1465 a prime number? False Is 111365 a composite number? True Is 677 a prime number? True Is 23189 a composite number? False Is 13829 a composite number? False Is 6163 a composite number? False Is 7219 a prime number? True Is 18637 prime? True Is 1164029 composite? False Is 12841 a composite number? False Is 301447 a composite number? False Is 331 prime? True Is 671401 prime? True Is 1128889 a composite number? False Is 36809 prime? True Is 9917 a composite number? True Is 24161 a prime number? False Is 2987 prime? False Is 3863 a composite number? False Is 308681 composite? False Is 636043 composite? False Is 7411 a composite number? False Is 4909 composite? False Is 200143 a prime number? False Is 1086731 a composite number? False Is 31585 prime? False Is 318261 composite? True Is 823319 composite? True Is 3087731 composite? False Is 10357 a composite number? False Is 2827 composite? True Is 10301 a composite number? False Is 533917 composite? True Is 339979 composite? True Is 1045811 composite? True Is 6687689 a prime number? True Is 1790527 a composite number? True Is 323573 prime? False Is 488159 prime? False Is 1142963 composite? True Is 505753 a composite number? True Is 41317 a composite number? True Is 177503 composite? True Is 14293 prime? True Is 256279 a prime number? True Is 7969 prime? False Is 45515 a prime number? False Is 2237 prime? True Is 5331 a composite number? True Is 18037 a prime number? False Is 282961 a prime number? False Is 126727 a prime number? False Is 27059 prime? True Is 1127519 composite? True Is 164137 a composite number? True Is 50047 a composite number? False Is 88117 composite? False Is 86285 a composite number? True Is 37819 composite? True Is 14923 a prime number? True Is 479407 a prime number? False Is 6673 prime? True Is 367585 a composite number? True Is 1117 prime? True Is 98947 prime? True Is 367 a prime number? True Is 701 prime? True Is 61931 composite? True Is 124235 composite? True Is 46381 prime? True Is 256193 prime? False Is 87509 composite? False Is 98723 a composite number? True Is 87981 composite? True Is 45317 composite? False Is 105115 composite? True Is 219346 prime? False Is 778597 prime? True Is 71689 a composite number? True Is 6803 composite? False Is 1292026 a composite number? True Is 35877 composite? True Is 1767557 a prime number? False Is 986941 a prime number? True Is 8949469 composite? False Is 7349 composite? False Is 5353 prime? False Is 376757 prime? True Is 53967 composite? True Is 254741 prime? True Is 10061 a prime number? True Is 516155 prime? False Is 2226379 a composite number? True Is 7493 prime? False Is 124933 prime? False Is 57643 prime? False Is 460171 composite? False Is 12979 composite? False Is 1399 composite? False Is 8327 a composite number? True Is 6780827 a prime number? True Is 2423 prime? True Is 112441 a composite number? True Is 11901 prime? False Is 432697 a prime number? False Is 10213 a prime number? False Is 182711 a composite number? False Is 770866 prime? False Is 714257 prime? True Is 88735 composite? True Is 163091 prime? False Is 43037 prime? True Is 502 composite? True Is 127031 composite? False Is 5297 prime? True Is 76319 a prime number? False Is 100327 a prime number? False Is 192971 a prime number? True Is 1216337 a composite number? False Is 921 a prime number? False Is 7601 prime? False Is 14503 a composite number? False Is 36753 a prime number? False Is 11677 prime? True Is 228535 a prime number? False Is 1123477 a composite number? False Is 13841
{ "pile_set_name": "DM Mathematics" }
1/7 (b) -4/39 (c) 0.3 (d) -0.5 (e) -0.23 (f) 19 d Which is the third biggest value? (a) 370 (b) -83 (c) 0.09 (d) -2/9 d Which is the fourth smallest value? (a) -2/7 (b) 0 (c) -4 (d) 9 (e) 80/51 (f) -5 b Which is the sixth biggest value? (a) 2/15 (b) 1.7 (c) -0.5 (d) 0.05 (e) -0.1 (f) 4 (g) -20/7 c Which is the second smallest value? (a) 7 (b) -32 (c) 1/113827 c Which is the fifth biggest value? (a) 4 (b) -0.1 (c) 6211/6 (d) 2 (e) -30 (f) -1/3 (g) 0.2 b What is the biggest value in -0.049, 1, -8/7, 5, -18, 8? 8 What is the second biggest value in -58, 3, -5, -4, -28/25? -28/25 Which is the second biggest value? (a) -1 (b) -3877 (c) 2 (d) 0.1 (e) -0.06 (f) 2/7 f What is the biggest value in -3, 2/7, 3, -0.1, -6/7, -5919, 1? 3 Which is the biggest value? (a) -7/229 (b) -14 (c) -4 a Which is the fourth smallest value? (a) -34 (b) 0.02 (c) 3/4 (d) 1/9 (e) -0.2 (f) -168 b Which is the fourth smallest value? (a) -4/831 (b) -39 (c) -2 (d) -0.08 (e) -5 (f) 2 d What is the seventh smallest value in -9, -8, -6/37, -4, -0.019, 2/11, -1? 2/11 What is the fifth smallest value in 3/16, -1, 0.25, 10/7, 7? 7 Which is the smallest value? (a) -1.3 (b) -0.5 (c) -5 (d) -2 (e) 0.74 (f) 3238 c Which is the fifth biggest value? (a) -5/3804 (b) 0.2 (c) 0.13 (d) 17 (e) -0.4 e What is the second biggest value in 3/4, -0.1591, -15956? -0.1591 Which is the biggest value? (a) 0.7 (b) 25 (c) -2/11407 (d) -3/5 b Which is the smallest value? (a) 23 (b) 0.1 (c) -117 (d) 100 c What is the fifth biggest value in -3, -1/9, -2/13, 182, 25.3, -0.1, 1/4? -1/9 What is the second biggest value in -320329, -1, -4/47? -1 Which is the second smallest value? (a) -0.9 (b) -2/5 (c) 0.03686 (d) 34 b What is the third smallest value in 140, -4, -3, -2257? -3 What is the fourth biggest value in -1.385, -0.5, 1/3, -0.4, -1? -1 Which is the third biggest value? (a) 3 (b) 111787 (c) 0.1 (d) -3/2 (e) -2 c What is the third smallest value in 396133, -1/8, 3, 2? 3 Which is the fifth smallest value? (a) -0.29 (b) -1/4 (c) -3/4 (d) -4/5 (e) 4 e What is the biggest value in -1/6, -2/3, 689, -37, 128? 689 Which is the smallest value? (a) 10 (b) -1/6 (c) -5 (d) 0.2 (e) 21.9 (f) -5/3 (g) 25/8 c Which is the sixth smallest value? (a) 0 (b) 161 (c) 0.04 (d) -4 (e) 1/9 (f) 119 (g) -0.5 f What is the fourth smallest value in 3, 9, -3, -2/11, -0.0063, -1/8, 52? -0.0063 What is the third smallest value in 0.11455, 942, -1/5, 0? 0.11455 Which is the smallest value? (a) -0.1 (b) -3 (c) 0 (d) -1221 (e) -5 (f) -45 d What is the fourth biggest value in -4/5, -5, 4, 0, -121, 85, 0.0219? 0 What is the third biggest value in -7, 7.95, -5, 13/19, -0.09? -0.09 Which is the sixth biggest value? (a) 0.1 (b) 16 (c) -0.4 (d) -45 (e) -1/7 (f) 3.85 d What is the second smallest value in -35, -5/3, 11080, -1? -5/3 What is the third smallest value in -4, 3/5, -3/5, -15, 1, 117, 18/11? -3/5 What is the fourth smallest value in 4385, 33/7, 0.5, -5? 4385 What is the seventh biggest value in -3, -37, 2, 0.06, 1, 72, 0? -37 Which is the biggest value? (a) -2 (b) 4/7 (c) 4/17 (d) -0.061 (e) -1/3 (f) -13 b What is the fifth biggest value in -0.5, 6, -0.3, 5, 1/3, -0.18, 0.02? -0.18 Which is the fourth biggest value? (a) -1/24 (b) 0.05786 (c) 1/11 (d) -3 d What is the fifth biggest value in -5, -0.2, -4, 12.82, 0.4, -2.51, -5/4? -2.51 Which is the sixth smallest value? (a) 0.4 (b) 1 (c) -0.1 (d) 0.5 (e) -0.5788 (f) 1/8 b Which is the biggest value? (a) -6 (b) 1/6 (c) 2 (d) -1.015 c Which is the third biggest value? (a) 3 (b) -2/3 (c) -49873 (d) 0.5 (e) -3/8 (f) 7.4 d Which is the smallest value? (a) 3/11 (b) 0.082 (c) 5 (d) -148 (e) 7 d Which is the fourth biggest value? (a) 3 (b) 8 (c) -27 (d) -12 (e) 2/11 (f) 3/8 (g) -17 e Which is the fifth smallest value? (a) 0 (b) 37 (c) -3/4 (d) -2/19 (e) 17 (f) 3991 b Which is the smallest value? (a) -3/79 (b) -4 (c) 0.3 (d) 22220 b What is the smallest value in
{ "pile_set_name": "DM Mathematics" }
d 28? 140 Suppose 5*b - 2*i - 40 = 3*i, -2 = i. Calculate the least common multiple of b and (-3)/(-9) + 8/3. 6 Let s be (0 - -1)*(-90)/(-10). Calculate the common denominator of 43/11 and 220/(-72)*-2 - (-3)/s. 99 Let i be 6/8 - 1263/(-396). Let j = 301/55 - i. What is the common denominator of -28/9 and j? 45 Suppose -5*h = u - 60, -3*h + 43 = -2*u - 6. Let y = 11 - h. Find the common denominator of (54/(-144))/(y/216) and 39/4. 4 Let k = -23 + 39. Let q(a) = -9*a**2 + 4*a - 3. Let i be q(1). Let w(v) = -4*v - 25. What is the lowest common multiple of w(i) and k? 112 Let r(o) = -5*o + 19. What is the least common multiple of 4 and r(2)? 36 Let d(r) = -3*r**3 - 3*r**2 - 11*r + 7. Let m be d(6). Let i = m - -3227/4. Find the common denominator of i and -79/42. 84 Let g be (0 - 3) + (-310228)/(-103412). Let k = g - -2611181/361942. Calculate the common denominator of k and 31/2. 14 What is the common denominator of 1/585*-289 - 26/(-65) and 37/104? 936 Calculate the least common multiple of (-356)/(-30) - (-8)/480*8 and 232. 696 Let n(s) = s**2 + 5*s + 6. Suppose -4*k - 33 = d - k, 3*k = 2*d + 93. Calculate the lowest common multiple of d/6*(-20)/14 and n(-5). 30 Calculate the common denominator of -115/1398 and (-3)/2 + 72/(-216). 1398 Let x = 15 + -22. Let q(a) = -a**3 - 7*a**2 + a + 7. Let r be q(x). What is the common denominator of 0 + r - (-153)/12 and -67/14? 28 Let c(x) = -9*x + 7. What is the least common multiple of 42 and c(-7)? 210 Let i = -83/9 - -1073/90. What is the common denominator of i and 67/12? 60 Suppose -3*n + y - 53 = -6*n, -2*n + 37 = -y. Calculate the least common multiple of n and (-1)/((-2)/6) - (-30 + 0). 198 Suppose -3*y - y = -252. Suppose v + y = 4*r, r + 5*v + 15 = 36. Calculate the common denominator of ((-27)/(-30))/(r/(-60)) and -67/2. 8 Suppose 5*f + 26 = r, 3*r + 2*f - 78 = -0*f. Let q(l) = -l**3 - 6*l**2 - l + 12. What is the smallest common multiple of q(-6) and r? 234 Let j = -74161/10 + 7422. Calculate the common denominator of (-3683)/348 + (-9)/54 and j. 20 Let t(a) = 384*a**2 + 11*a + 19. Let l be t(6). Let c = 389549/28 - l. What is the common denominator of c and 7/4? 28 Let h = -35 - -35. Find the common denominator of 194/(-28)*(-14)/(-12) and 63/396 + (-2 + h)/(-1). 132 Let c = 68637/136 + -4035/8. Find the common denominator of 49/32 and c. 544 What is the least common multiple of 10 and (-1)/7 - 318/(-21)? 30 Let w = -17853/3842 + 216/113. Let u = 73684 - 43065. Let p = -551279/18 + u. What is the common denominator of w and p? 306 Suppose -4*y - 8 = -8*y. Suppose -2*f - 6 = -10. Suppose 4*t - 68 = -3*x, 0 = f*t - 0*x + 5*x - 20. Calculate the lowest common multiple of t and y. 20 What is the common denominator of -61/2 and 2781/(-108)*(-2)/17? 34 Let t(u) = -2*u**2 - 26*u - 74. What is the lowest common multiple of t(-7) and 6? 30 Let x(t) be the third derivative of t**5/60 + 3*t**4/8 - 4*t**3/3 + t**2. What is the smallest common multiple of x(-11) and 18? 126 Suppose 3*w - 104 = -w - 5*j, -w + 26 = -j. Suppose 10 + w = 4*r. Suppose -6*p = -5 - 37. Calculate the lowest common multiple of r and p. 63 Let l be (5/(-29))/(11/(-3)). Let w = 23647/7656 - l. Let r = -465/8 - -58. Calculate the common denominator of w and r. 24 Suppose 21 = -2*v - 3*i, -i = 2*v + 2*v + 37. What is the common denominator of 105/22 and (585/(-4))/v + 3? 44 Let u = -1 - -51. Let v = u + -40. Let q = 34 - 24. Calculate the smallest common multiple of q and v. 10 Let p(q) = -10*q + 103. Let s be p(10). Let n be (-9)/(-15) - (-4)/10. Let l = n + s. Calculate the least common multiple of l and 74. 148 Suppose 0 = -5*b + 4*n + 22, -2*n - 3*n + 40 = 5*b. Suppose 5*f - 205 = 5*s, 5*f + s - 4*s - 215 = 0. What is the lowest common multiple of f and b? 138 Suppose -2*w - 3*m - 61 = 0, 4*w = 3*w - 3*m - 29. Let t = w + 39. What is the smallest common multiple of t and 5? 35 Let y(v) = -14*v**2 - 7*v + 1. Let k be y(-3). Calculate the common denominator of (-2 + 13/7)*k/16 and -5/16. 112 Let c(j) = -2*j**3 - 9*j**2 + 12*j + 6. Let v be c(-6). Let z = v + -40. Calculate the smallest common multiple of 2 and z. 2 Let a = -50 - -51. What is the least common multiple of -3 - (a + -2 - (-12)/(-2)) and 2? 4 Let z(a) = -a**2 + 6*a + 3. Let n be z(6). What is the common denominator of n/(-9) + (-638)/120 and ((-4)/8 - 1)*-3? 20 Suppose -9*g = -8*g - 21. Let b = g - 7. Calculate the least common multiple of (8/6)/((-1)/(-3)) and b. 28 Let p = -52285/9 + 5801. Find the common denominator of 119/3808*(-10)/1 and p. 144 Let t be 150/4*24/(-9). Let x be (-1484255)/t - 3 - 2. Let k = 14834 - x. Calculate the common denominator of -39/8 and k. 40 Let a be (7 + -10)*(-50)/6. Suppose 0 = 5*m + a, 13 + 19 = -3*r - m. Find the common denominator of (-6)/8*4/24 and r. 8 Let b(s) = -2*s**2 - 41*s + 77. What is the least common multiple of 220 and b(-11)? 2860 Let h = -1/114 + 973/456. Find the common denominator of h and (7*18)/(23/((-276)/(-600))). 200 What is the lowest common multiple of (10/(-8))/((-7)/28) and 55? 55 Let c = -7133 + 57151/8. What is the common denominator of c and 75/2? 8 Let r = 45 - -7. Calculate the smallest common multiple of 6 and 2/(0 + 1) + r/4. 30 Find the
{ "pile_set_name": "DM Mathematics" }
ch is the nearest to 62? (a) 3/7 (b) 0.3 (c) -1 (d) 4 d Which is the closest to -2? (a) -0.2 (b) 0.3 (c) -0.5 (d) -2/11 c What is the closest to 1/2 in 2/5, -8, 0.01, 0.1? 2/5 Which is the nearest to -1? (a) 22 (b) 5 (c) -3 (d) -2.2 d Which is the closest to -3? (a) 3/7 (b) -4.1 (c) 3 b What is the nearest to -1 in 13, 10, 6/13? 6/13 What is the nearest to 3 in 2/9, -2, -1/4, -42? 2/9 What is the closest to -1 in -3, -1, -9, -0.1? -1 Which is the closest to 0.15? (a) 0 (b) 3 (c) -1/4 a Which is the closest to 0.1? (a) 57 (b) 0.5 (c) 16 b What is the nearest to 6 in 5, -3, 29? 5 Which is the nearest to -12? (a) -2/9 (b) 0.14 (c) -1 c Which is the nearest to -1? (a) 2/15 (b) 0.5 (c) 1/3 (d) -0.5 d What is the nearest to -16.5 in -1, 1, -0.1, -3? -3 What is the nearest to -2 in 16, 0.3, 6? 0.3 Which is the nearest to 0? (a) 3/7 (b) 2 (c) 2/11 (d) 6 c What is the nearest to 2 in 5, -0.2, -1/3? -0.2 Which is the nearest to -12? (a) -2 (b) 4/9 (c) -3 (d) -0.3 c Which is the nearest to -4/9? (a) 5/4 (b) -0.5 (c) -117/7 b What is the nearest to 0.1 in 4, 26, 0? 0 Which is the nearest to 12/11? (a) 3/5 (b) -0.2 (c) 2/13 (d) -2/3 a What is the nearest to -0.1 in 3/4, -5, 0.1, 4? 0.1 Which is the closest to -2? (a) 5/3 (b) -25 (c) -0.3 (d) 3 c Which is the closest to 6? (a) 0.1 (b) 1/16 (c) -0.2 (d) 0.3 d What is the closest to -2 in -2.2, 1, 2/3? -2.2 Which is the closest to 2/11? (a) 1.7 (b) 5 (c) -1 c What is the nearest to -1 in 9, -3/4, -0.162? -3/4 What is the nearest to -0.26 in 4, 0.2, 3? 0.2 What is the nearest to -1/5 in -2/13, -2/9, -1, 1? -2/9 Which is the nearest to 18? (a) -0.5 (b) 0 (c) 4 c Which is the nearest to -0.1? (a) 1/2 (b) 25 (c) 1/21 c What is the closest to 0.2 in 5, -0.6, -1, 2? -0.6 Which is the nearest to -1/19? (a) -2 (b) -5 (c) -2/9 c What is the closest to 1/3 in 2, 0.3, -24? 0.3 What is the nearest to 0 in -1062, -0.2, 0.4? -0.2 Which is the nearest to -9? (a) -2/17 (b) -18 (c) -0.25 c What is the nearest to 439 in 0, 0.4, 4? 4 What is the nearest to -2/9 in 2/7, 8/5, 0.02? 0.02 What is the nearest to 0.1 in -1/27, 0.5, 2/3? -1/27 What is the closest to 2/17 in 12, 0, -0.1? 0 Which is the closest to 6? (a) -0.2 (b) 3/4 (c) -0.5 (d) -1.6 b Which is the nearest to -1? (a) 59 (b) -0.4 (c) 0.5 b What is the nearest to -5 in 0.5, 0.2, -2/7? -2/7 Which is the nearest to 0? (a) 5 (b) 2 (c) -4 (d) -92 b What is the closest to 27 in -1.8, 0.1, 2? 2 What is the closest to 0.3 in -0.1, 4/3, 25? -0.1 What is the closest to 0 in -7, 0.5, -4, 2? 0.5 Which is the nearest to -1/2? (a) 4 (b) -1/8 (c) -1 b Which is the nearest to 1/40? (a) -4 (b) 1 (c) 2/7 (d) 3/5 c What is the closest to -0.1 in -1, 2/3, -0.07, -0.4? -0.07 What is the closest to -0.01 in 76, 0.3, 0.4, -2? 0.3 Which is the nearest to -2/7? (a) 2/3 (b) 1297 (c) 1 (d) -0.3 d Which is the closest to -2/3? (a) -0.3 (b) 717 (c) -2 (d) -1/4 a Which is the closest to 0? (a) 6 (b) -2/19 (c) 1/10 (d) 1/5 c Which is the nearest to 1? (a) 312 (b) -0.5 (c) 0.1 (d) -4 c Which is the closest to 1? (a) 1/5 (b) 0.01 (c) -13/5 a What is the nearest to -0.1 in -3/5, 18, -0.3, -10? -0.3 Which is the nearest to 0.1? (a) 143 (b) 0 (c) 0.1 c Which is the nearest to 2/3? (a) -0.07 (b) -4 (c) -3 a Which is the closest to -18? (a) -175 (b) 0.2 (c) -1 (d) -2 d Which is the nearest to -1? (a) 0.5 (b) 52.1 (c) -1 c What is the nearest to 1/6 in -3, 0.1, -17? 0.1 What is the closest to 3 in 10, 2/15, -2/9? 2/15 What is the closest to 2/5 in 3, 1/2, -4, 0.02? 1/2 Which is the nearest to -1? (a) -3/4 (b) 1/5 (c) 0.5 a What is the nearest to 2/5 in -2/97, -5, 1/4? 1/4 Which is the nearest to 0.2? (a) 1/6 (b) 31 (c) -2 a What is the closest to 0.2 in -1, -1/3, 94, -1/5? -1/5 What is the closest to 0 in 2/
{ "pile_set_name": "DM Mathematics" }
m**2 - 4 - 2*m + 14*m**4 + 2 - 12*m**4 in the form t + z*m**2 + c*m**3 + v*m**4 + h*m and give v. 2 Rearrange -31*c**2 + 11*c**2 + 0 + 0 to the form v*c + z + f*c**2 and give f. -20 Rearrange (2*v + 5 - 5 - 5*v + 2*v + 4*v + (-6 + 3 + 2)*(v + 0*v + v) + 4*v + v - 3*v)*(-3 - 10 + 29) to b*v + k and give b. 48 Rearrange 12*t + 17*t + 14*t + 30*t to the form i*t + f and give i. 73 Express (129 - 255 + 3*y + 138)*(-3 + 0 - 5) in the form k*y + j and give j. -96 Express 3*z - 39*z + 6*z as u + w*z and give w. -30 Express (-3 + 2 - 11)*((0*i - 3*i + 4*i)*(-3 + 3 - 2) - i + 0 + 0) as z*i + r and give z. 36 Express 771*u - 4 - 824*u + 4 as p*u + w and give p. -53 Rearrange -1 + 3 - 4 - 7*f**3 - 5*f**2 + 7*f**2 to m*f**2 + l + o*f**3 + z*f and give m. 2 Express -9*w**2 + 0*w + 7 - 3*w + 2*w + 8*w**2 in the form j*w + i*w**2 + d and give i. -1 Express -15*h**4 - 4*h**4 - 3*h**2 + 8*h**3 + 20*h**4 in the form n*h**3 + z*h**4 + k*h + d + w*h**2 and give n. 8 Rearrange 164*u - 3 + 25*u + 3 to y + v*u and give y. 0 Rearrange (6*n**2 - n**2 - 4*n**2)*(0*n**2 - 45 + 20*n**2 + 45) to a*n + d + q*n**3 + l*n**2 + t*n**4 and give d. 0 Express (3*n - 2*n - 4*n)*(-5*n - 2*n + n) as o*n**2 + z + a*n and give o. 18 Express (-3 + 3 - w)*(0 + 2 + 2) - 2*w + 2*w - w + 0 + 0 + 2*w + (1 + 0 + 1)*(-3*w + 3*w + 2*w) as m + o*w and give o. 1 Rearrange -s**2 + 3*s - 4*s**3 - s**4 - 2*s + 3*s**3 to f*s**4 + p*s**2 + o*s**3 + r + t*s and give o. -1 Rearrange 108*f - 106*f - 8*f**2 + 2 - 5*f**2 to the form d*f + y + v*f**2 and give d. 2 Express 5*s**4 + 0*s**3 - 3*s**3 - 3*s**2 + s**2 - 3*s**4 as p*s**2 + q*s**3 + c*s + f*s**4 + m and give p. -2 Rearrange (t - 3 + 3)*(3 + 1 - 3)*(-9*t**3 + 12*t**3 - 4*t**3) to w + h*t + a*t**2 + q*t**4 + f*t**3 and give w. 0 Rearrange (-3*r + 2*r + 2*r)*(-1 - r + 1) + (-r - 5*r + r)*(2 - 2 + 2*r + (2*r + 7*r - 4*r)*(2 + 0 + 0) + r - 3 + 3) to p + n*r + c*r**2 and give c. -66 Express 17*k - 7*k - 6*k as q*k + v and give q. 4 Rearrange -22*t**2 - 2*t**4 + 21*t**2 + 0*t**4 + 8*t**3 to b + n*t + r*t**2 + c*t**4 + w*t**3 and give c. -2 Express -28 + 28 + z + 3*z in the form r*z + y and give r. 4 Express (2 - 3 + 3)*(-9 - 2 + 4)*(2*s + s - 2*s + (12 - 6 + 7)*(4*s - 4*s + 2*s) - s + 5*s - 2*s) in the form y + i*s and give y. 0 Express ((0 + 3 - 2)*(2 + 1 - 1) + 14 + 5 + 1)*(3*k**3 - 4*k + 4*k) in the form w + x*k + o*k**3 + u*k**2 and give o. 66 Express (-2 + 2 - k**2)*(-7 - 9*k**2 + 7)*(-4 + 5 - 2) + (-k**3 + 2*k - 2*k)*(0*k + 3*k - 4*k) as q*k + o + v*k**3 + j*k**4 + b*k**2 and give j. -8 Rearrange (g**2 - g + g)*(2 - 5 - 4*g**2 + 5) to j*g + y*g**2 + d + x*g**3 + n*g**4 and give y. 2 Express 4 - 4*u + 7*u - 80*u**2 - 78*u**2 + 157*u**2 as p*u**2 + y*u + k and give p. -1 Rearrange -2*w**2 + 2*w**3 + 5*w**2 - 4*w**2 + 2*w**4 - w**3 to o*w + u*w**3 + v + k*w**4 + i*w**2 and give i. -1 Rearrange 4*k - 2*k - 2*k - 6*k to n*k + o and give n. -6 Express -32*z - 16*z + 12*z as x + r*z and give r. -36 Rearrange -165 + 2*a + a**2 + 165 to l*a + d + i*a**2 and give l. 2 Rearrange (-g + g + 4*g)*((-1 + 1 + g)*(0 + 3*g**2 + 0) - 6*g**2 - g**3 + 6*g**2) to the form x*g**3 + h*g + k + w*g**4 + u*g**2 and give h. 0 Express (-5*g + 5*g - 2*g**4)*(4 + 2 - 4) + 24 + 6*g + 20*g**4 - 16 - 4*g as w*g**3 + h*g + z*g**4 + x*g**2 + n and give n. 8 Rearrange (-3 - 1 + 2)*(4*f - 4*f + 13*f**2) + 5*f**2 - 2*f**2 - 2*f**2 + 5*f**2 - f**2 - f**2 to o*f**2 + t + x*f and give x. 0 Rearrange (-x - 2*x**2 + x)*(1 + 5 - 5) + (5*x + 81 - 81)*(-2*x + x - x) to the form o + u*x + m*x**2 and give m. -12 Rearrange (3*h**2 + 2*h**2 - 7*h**2)*(-1 + 1 + 2) + (2*h**2 - 5*h + 5*h)*(3 - 3 - 1) to the form c*h**2 + z*h + b and give c. -6 Rearrange -4*v**3 + 4*v**3 - 2*v**3 + (-1 - 2*v + 1)*(0*v + 2*v**2 + 0*v) + 0*v**3 - 42*v**2 + 16*v**3 + 41*v**2 to m*v**3 + u + p*v + h*v**2 and give m. 10 Express 3*w**2 + 10*w - 8*w**
{ "pile_set_name": "DM Mathematics" }
llect the terms in -1020*n - 997*n - 1017*n + 4022*n - 923 - 1019*n. -31*n - 923 Collect the terms in 288038*x**2 + 394912*x**2 - 121903*x**2. 561047*x**2 Collect the terms in -125 - 8227*c - 122 + 247 - 13428*c. -21655*c Collect the terms in 31*h**3 - 37*h**3 + 11 + 33*h**3. 27*h**3 + 11 Collect the terms in 8874*w**2 + 23 - 1887*w**2 + 29 - 52. 6987*w**2 Collect the terms in -40983 - 41031 + 123045 - 41031 + 3*i**3. 3*i**3 Collect the terms in -7105511903*d + 7105511903*d + d**3. d**3 Collect the terms in -175 + 26*u + 38*u - 197 - 73*u + 371. -9*u - 1 Collect the terms in 45*n - 267*n + 2*n**2 + 293*n - 2*n**2 - 71*n - n**2. -n**2 Collect the terms in -203479*k - 203480*k + 406959*k + 185*k**2 + 263*k**2 - 27*k**2. 421*k**2 Collect the terms in -68*d + 36*d + 8*d + 0*d + 23*d - 312. -d - 312 Collect the terms in 2 - 22 + 50*x + 20. 50*x Collect the terms in -897966 + 897966 + 16*c - 14*c. 2*c Collect the terms in -482*n - 526*n + 344*n + 5*n**2 - 4*n**2 + 323*n + 341*n. n**2 Collect the terms in 174715*n**2 - 86961*n**2 - 87779*n**2. -25*n**2 Collect the terms in -225*o**2 + 1477*o + 1463*o - 7322*o + 1464*o + 1458*o + 1461*o. -225*o**2 + o Collect the terms in 77*i - 1053 + 3208 + 1360. 77*i + 3515 Collect the terms in 19567 - 39152 + 75*w + 135*w + 19587. 210*w + 2 Collect the terms in -3*p**3 + 2*p**3 - p**3 + 1040 - 10*p**2 + 759 + 10*p**2. -2*p**3 + 1799 Collect the terms in -i + 3*i - 9*i + 87 - 4*i + 16*i - 6*i. -i + 87 Collect the terms in 506*i + 284765 + 20*i - 284765. 526*i Collect the terms in -22*p + 21391 + 4*p - 64106 + 21396 + 21320. -18*p + 1 Collect the terms in -5088504*o**2 - 6*o + 6*o + 5088534*o**2. 30*o**2 Collect the terms in 180*b - 345*b + 165*b + 4118*b**3. 4118*b**3 Collect the terms in -138 + 5*h + 72 - 115*h**2 + 66 - 2*h**3. -2*h**3 - 115*h**2 + 5*h Collect the terms in -3*u - 458 + 301 + 861. -3*u + 704 Collect the terms in 1445*b - 3160*b + 1251*b - 5. -464*b - 5 Collect the terms in 5256*j**3 - 10502*j**3 + 5243*j**3 + 5997*j**2 - 3001*j**2 - 2996*j**2. -3*j**3 Collect the terms in 28959*r**3 - 57999*r**3 + 28928*r**3. -112*r**3 Collect the terms in g + 3138*g**2 + 6 + 25*g**3 - 1 - 6. 25*g**3 + 3138*g**2 + g - 1 Collect the terms in 2858962*x**3 + 2858958*x**3 - 5717921*x**3. -x**3 Collect the terms in -58901 + 58901 - 7588*k**2. -7588*k**2 Collect the terms in -1935*p**2 + 3913*p**2 - 1978*p**2 + 13*p**3. 13*p**3 Collect the terms in u**2 - 1 - u**2 + 7913*u**3 - 7934*u**3 - 58*u. -21*u**3 - 58*u - 1 Collect the terms in -140026908*a - 4*a**2 + 4*a**2 - 96*a**3 + 19*a**3 + 140026908*a. -77*a**3 Collect the terms in 0*r**2 - 8*r**2 + 1454 - 1403. -8*r**2 + 51 Collect the terms in 64*w**3 - 25 + 27 + 19 - 19. 64*w**3 + 2 Collect the terms in 44381*w**2 + 44385*w**2 - 133145*w**2 + 44380*w**2. w**2 Collect the terms in -6572132832967 + 6572132832967 + u. u Collect the terms in -159328*q - 41*q**2 + 159328*q - 45*q**3. -45*q**3 - 41*q**2 Collect the terms in -3310 - 4*q**3 + 10036 - 3327 - 3399. -4*q**3 Collect the terms in -2 - 9*c**2 - 76*c**2 + 17*c**2 - 24*c**2. -92*c**2 - 2 Collect the terms in 26*j + 56*j + 15*j**2 - 19*j + 13*j**2 - 48*j**2 + 18*j**2. -2*j**2 + 63*j Collect the terms in -51869*m**2 - 82433*m**2 + 34789*m**2 - 29390*m**2. -128903*m**2 Collect the terms in -7928*k - 8333*k - 8142*k + 23964*k - 1. -439*k - 1 Collect the terms in -19480 - 3*g - 12*g**2 + 3*g + 19480 + 3*g + 4*g. -12*g**2 + 7*g Collect the terms in 0 - 76*k + 10 + 40 - 10 - 38*k. -114*k + 40 Collect the terms in -1007849*z - 1007868*z + 2015679*z. -38*z Collect the terms in -2965*z**2 - 2966*z**2 + 8899*z**2 + 3*z**3 - 18*z**3 - 2968*z**2 + 26*z**3. 11*z**3 Collect the terms in -3 - 36*c**3 + 3 + 43252386*c**2 - 43252386*c**2. -36*c**3 Collect the terms in 17*x + 227547*x**3 - 227329*x**3 + 2*x. 218*x**3 + 19*x Collect the terms in -31 - 471*m - 21 + 81 - 25. -471*m + 4 Collect the terms in -30*v + 8*v**3 - 12602083236 + 30*v + 12602083236. 8*v**3 Collect the terms in 4878137*v**3 + 399465*v**3 + 0*v + 0*v. 5277602*v**3 Collect the terms in -120*n**2 + 866*n + 77*n**2 - 52*n**2 - 866*n. -95*n**2 Collect the terms in -289755 - 4324*h**2 + 289755 + 4345*h**2. 21*h**2 Collect the terms in -83973*r + 83973*r - 83*r**2 + 187*r**2 - 85
{ "pile_set_name": "DM Mathematics" }
= 7*d - 242. Suppose -d*j = -70*j - 1904. What are the prime factors of j? 2, 7, 17 Suppose 8*b - 6*b - 1210 = 3*k, b - 1620 = 4*k. Let g = k - -824. What are the prime factors of g? 2, 11, 19 Suppose 0 = t + 2*t - 3*v, -2*t = -v. Let b(h) = h**3 + 9*h**2 - 11*h - 2. Let c be b(-10). Suppose t = -4*l - c + 68. List the prime factors of l. 3, 5 Let x(u) = u**3 - 21*u**2 - u + 40. Let p be x(21). Suppose -p*l + 14*l = -20. Suppose -h + 2 = 0, -h - 367 = -l*w + 291. What are the prime factors of w? 3, 5, 11 Suppose -2*i - 11 = 151. List the prime factors of 11*i*11/(66/(-4)). 2, 3, 11 Let a(n) = -326*n + 335. Let j(v) = -5*v. Let c(w) = a(w) - 6*j(w). List the prime factors of c(-5). 3, 5, 11 Let a(r) = -2497*r + 1009. List the prime factors of a(-9). 2, 59, 199 Let c(h) = 2*h + 41. Let n be c(9). Suppose -12*q + 15*q = d - 57, -d = -4*q - n. List the prime factors of d. 3, 17 Let f(j) = -j**2 - 6*j + 44. Let p be f(-10). What are the prime factors of 113/(2/p*(-11)/(-22))? 2, 113 Suppose 3*o + 4*k = 10, 0 = 4*o + 9*k - 5*k - 8. List the prime factors of o/(-1) - ((8 - 387) + -6). 3, 43 Let y(t) = t**3 - 27*t**2 - 6. Let o be y(27). What are the prime factors of (-3)/o*1*(-1090)/(-5)? 109 Suppose -192 = 2*d + 4*j, 4*d + 7*j - 2*j + 378 = 0. Let g = d + 94. Let o(a) = 21*a**3 - a - 1. List the prime factors of o(g). 3, 5, 11 Let l be (48/(-20))/(12/(-80)). Suppose 2*f - 4*r + 12 = 0, -l = -4*f - 4*r + 8. Suppose -f*x = 3*w - 58, 0*w + x = 3*w - 61. List the prime factors of w. 2, 5 Let b(w) = 3243*w**2 - 58*w - 131. What are the prime factors of b(-2)? 3, 7, 617 Suppose -3*t - 3*i = 852, 4*t - 6*i = -4*i - 1160. Let w = t + 531. What are the prime factors of w? 3 Suppose -8879 + 184799 = 20*h - 4*h. List the prime factors of h. 3, 5, 733 Let o(p) = 11*p**2 - 19*p - 354. What are the prime factors of o(37)? 2, 7001 Suppose -2*s + 4*s + 3*r - 4847 = 0, 4*s - 3*r - 9649 = 0. Suppose -s = -13*y + 2953. List the prime factors of y. 7, 59 Let u = 47720 + -30757. List the prime factors of u. 16963 Suppose -4*s + 2*h = -56378, -2*s + 197*h - 201*h + 28184 = 0. List the prime factors of s. 2, 3, 29 Suppose 2*k + 37 = 5*k + 5*j, -40 = -5*k - 4*j. Suppose k*c + 5*y - 344 = 214, 4*y = 3*c - 434. What are the prime factors of c? 2, 71 Suppose 481*i - 478*i + 41559 = 2*z, 5*i = 3*z - 62336. What are the prime factors of z? 3, 13, 41 List the prime factors of 2*((-30610)/(-60)*(4 + -7))/(-1). 3061 Let z(f) = 21*f - 37. Let b be z(2). List the prime factors of 217 + (b - 4)/(1 + -2). 2, 3 Let p(f) be the second derivative of f**5/20 - 13*f**4/12 + 2*f**3 + f**2 + 2*f. Let t be p(12). List the prime factors of (12/14)/(t/42). 2, 3 List the prime factors of 8344 + 286/(169/(-13)). 2, 3, 19, 73 Let p(g) = g**2 + 135*g + 9669. List the prime factors of p(0). 3, 11, 293 What are the prime factors of -2 + ((-66*18)/4)/(30/(-5260))? 2, 23, 283 Let y(x) = -x**3 - 2*x**2 - 2*x - 15. Let a be y(-8). Suppose 722 = 3*f - a. What are the prime factors of f? 3, 41 Suppose -178824 = -3*t + 4*q, -t = 4*q - 19089 - 40535. List the prime factors of t. 2, 7, 2129 Let i = 9967 - 4918. List the prime factors of i. 3, 11, 17 Let l(b) = -2*b**3 + 3*b**2 + 4*b + 1. Let m be -3 - (2 - 4/2). Let g be l(m). Suppose -2*a + g + 4 = 3*o, -85 = -3*a + 2*o. What are the prime factors of a? 31 Let h be ((-2)/4)/((-2)/16). Suppose l = -2*l - g + 10, -2*l = 2*g - h. Suppose 0*d = -5*d + 15, 0 = 5*x - l*d - 58. What are the prime factors of x? 2, 7 Let a = 340 - 337. Suppose v - 587 = 9*w - 4*w, v - a*w = 585. List the prime factors of v. 2, 3, 97 List the prime factors of (-46)/92 + (4 - 61735)*(-2)/4. 5, 6173 Let u(z) = 11*z**3 - z**2 + z. Let o be u(1). Let m(c) be the second derivative of 13*c**3/6 - 17*c**2 - 19*c. What are the prime factors of m(o)? 109 Let y be (-3 - (-44)/12)*207. Suppose 15*j - 117 - y = 0. What are the prime factors of j? 17 Suppose -4*n - 2*g + 730 = -2*n, 1462 = 4*n + 5*g. Let t = 615 - n. List the prime factors of t. 2, 3, 7 Suppose 4*b + t + t - 980 = 0, 2*b = 2*t + 490. Let w = -222 + b. What are the prime factors of w? 23 Let f(s) = 481*s**2 - 1. Let c be f(-1). Suppose 4*u = 3*r - 296 - 418, 4*u = 2*r - c. List the prime factors of r. 2, 3, 13 Let m = 356 - 397. List the prime factors of 173*(-2)/4*(m + 35). 3, 173 Let z be (-69)/((-4)/((-1536)/(-9))). Suppose 4786 = 10*i - z. List the prime factors of i. 773 Let y(i) = 28*i - 2*i**2 + 13*i + 17*i + 8*i + 3. What are the prime factors of y(26)? 367 Suppose 0*b + 3 = 3*b. Let n(j) = -j + 0*j + 3*j**2 - 382*j**3 + 213*j**3 + 320*j**3 - j. What are the prime factors of n(b)? 2, 19 Suppose -i -
{ "pile_set_name": "DM Mathematics" }
-91256.18106 + 91257. Let v = -0.82 + o. What is v rounded to four decimal places? -0.0011 Let h(g) = -1190028*g - 20. Let n(c) = -c + 1. Let w(q) = 4*h(q) + 88*n(q). Let x be w(5). Let l = 40400992 + x. What is l rounded to the nearest one million? 17000000 Let y(d) = d**3 - 2*d**2 + d + 2. Let q be y(2). Suppose 0*j = 3*m + 3*j - 207, q*m - 5*j - 240 = 0. Round m to the nearest ten. 70 Let l = 2998.00009422 + -2998. Round l to 6 dps. 0.000094 Let a = 121591 + -17846. Suppose 36746 = h - j, 2*j + 5348 = -h + 42091. Let z = a - h. Round z to the nearest 10000. 70000 Let z = 2.92 - -124.08. Let k = -182 + z. Let h = -54.41 - k. Round h to 1 dp. 0.6 Let i be (0 - -2)*14/(-4). Let p(c) = 31135*c**3 - 10*c**2 - 11*c - 10. Let a be p(i). Let o = a - -18779728. What is o rounded to the nearest 1000000? 8000000 Let j be 75604/4 + 0 + -1. Suppose -7*k + 10*k = j. Round k to the nearest one thousand. 6000 Let t = 105 + -105.0318. Round t to 3 decimal places. -0.032 Let q = 0.0199 + 93.7801. Round q to the nearest integer. 94 Let u = -3.49 + 3.5214. What is u rounded to 3 decimal places? 0.031 Let n = -23378966 - -928966. Round n to the nearest 1000000. -22000000 Let v = -536.000000055 - -536. What is v rounded to seven dps? -0.0000001 Suppose -n = -9*n. Suppose n = -7*w + 2*w. Suppose -2*p + 5 - 20 = -j, w = -4*j - 3*p + 93. Round j to zero dps. 21 Let j = -5182 - -5157.63. Round j to the nearest integer. -24 Let r = -0.34 - 30.36. Round r to the nearest ten. -30 Let k = 0.04 - -1.14. Let y = 1.4 + k. Let z = y + -0.08. Round z to the nearest integer. 3 Let x = -95.2 - 111.6. Let m = -229 - x. What is m rounded to zero dps? -22 Let j = 798300267157759.000141 + -798299936327207. Let w = j - 330830215. Let u = 337 - w. What is u rounded to five decimal places? -0.00014 Let r = -1953 + 1345. Let m = 276 + r. Let y = 331.9999837 + m. Round y to 6 dps. -0.000016 Let x = -292.76 + 298. Let v = 15.86 + x. Round v to zero dps. 21 Let a = 133 + -133.177. Let p = -1230167.1769899 + 1230167. Let z = p - a. What is z rounded to six decimal places? 0.00001 Let t = -57.591 - -0.291. Round t to the nearest 10. -60 Suppose 4*g = s - 68, 3*g + s = 2*s - 52. Let l be ((-1125)/(-6))/((-3)/g). What is l rounded to the nearest 10000? 0 Suppose 0 = 25*m - 17034 + 14707034. What is m rounded to the nearest 10000? -590000 Suppose -2*q - g = -4090, 0 = 4*q + 14*g - 19*g - 8152. Round q to the nearest 1000. 2000 Suppose 595 = -0*m - 5*m. Let x be (m - -1)/((-4)/24). What is x rounded to the nearest one hundred? 700 Let b = -0.0981 - -0.09812318. What is b rounded to six decimal places? 0.000023 Let h = -552 - -347. Let c = 382.259 + -177.176. Let a = c + h. Round a to two dps. 0.08 Let b = -506724.0037 + 506770. Let q = b + -46. What is q rounded to three decimal places? -0.004 Suppose 5*l + 725338 = -1231127. Suppose -4*y + 848221 = -5*g + 5054690, 4*g + y = 3365171. Let n = g + l. Round n to the nearest one hundred thousand. 500000 Let u be 64622283/5 - 4/(-10). Suppose u = 2*h - 35875543. What is h rounded to the nearest one million? 24000000 Suppose 4*g + 3*q = -155692, 222537 = -4*g - 4*q + 66841. Round g to the nearest one thousand. -39000 Let t(g) = -g - 1. Let x be t(-5). Suppose -6*r + 4 = -x*r. Suppose 4*d - 1604 = r*j, 2*d - 5*d = 4*j - 1192. Round d to the nearest one hundred. 400 Let g(s) = -6*s**3 + s**2 + s + 4. Let j be g(-2). Let a be j/15 - (-6)/(-10). Suppose 0 = 3*y + 12, 2*y - 83 = a*o + y. Round o to the nearest ten. -30 Let v = 0.3 + 0.3. Let w = 0 + v. Let p = -0.59999975 + w. Round p to 7 decimal places. 0.0000003 Let n = -710.375 + -13.925. What is n rounded to the nearest 100? -700 Let v = 102 - 101.9. Let f = -1491514 + 1491514.09999944. Let g = f - v. Round g to 7 decimal places. -0.0000006 Let j = 17002.805 - 17055. Let k = 53.094965 + j. Let a = k + -0.9. What is a rounded to five decimal places? -0.00004 Let l be (615*(-8)/36)/((-2)/(-282)). Round l to the nearest one thousand. -19000 Let t = 991057210 + -991057804.999659. Let h = t - -595. Round h to 5 dps. 0.00034 Let y = 1.702469 - 19.643623. Let g = 1.05884712 - y. Let a = -19 + g. Round a to seven decimal places. 0.0000011 Let q = 24 - 42. Let t = q - -16.2. Round t to one dp. -1.8 Let i = 1671.0000789 + -1671. What is i rounded to five dps? 0.00008 Suppose 0 = 4*x - 0*x - g + 171, 5*x + 205 = 3*g. Let r be 517432/(-44) - (-2)/x*4. What is r rounded to the nearest 1000? -12000 Let g = -69 + 41. Let s = g + 23.6. Let m = s + 10.7. Round m to 0 dps. 6 Let d = -3346.0000007745 - -3346. What is d rounded to seven decimal places? -0.0000008 Suppose 0 = -5*w - 3*j - 128 + 490, -w + 76 = -3*j. Let o be ((-756)/(-2))/(2/w). Let h be (o/(-3) - 1)*1500. What is h rounded to the nearest 1000000? -7000000 Suppose -j - y + 0 = 5, -3*j = -3*y - 15. Let k be -3 + 0 - (164996 + 1 - j). Round k to the nearest 10000. -170000 Let c = 326221.00002 - 326243. Let z = 0.4 - -21.6. Let f = c + z. What is f rounded to four dps? 0
{ "pile_set_name": "DM Mathematics" }
85654543 What is 0.16 plus 500143376423? 500143376423.16 24522345548.8 + -105 24522345443.8 Sum 117.55757153 and 32.7. 150.25757153 What is 1263714 - -40078? 1303792 Add 0.039553 and -23907018. -23907017.960447 Put together -776.933859 and -888. -1664.933859 Sum -1949802711 and -20755. -1949823466 Subtract -734901.753 from -4.82. 734896.933 What is 640388 plus 0.024433? 640388.024433 Subtract -391072.7 from -8.46571. 391064.23429 698+0.2084743388 698.2084743388 What is 12543.38 less than -24247.77? -36791.15 27190.7 + 53023 80213.7 Calculate -5696.3 + -136415.067. -142111.367 What is 237.1 - 1165520.03? -1165282.93 Put together 83 and -106536730547. -106536730464 What is 826.46561052 take away -0.8? 827.26561052 Work out -2.8 - 0.62302123337. -3.42302123337 Work out -0.0174 - -14424679594. 14424679593.9826 Put together -172784073 and 2898. -172781175 0.1231 + -19673823767 -19673823766.8769 -196+27675645684 27675645488 Subtract 839259 from -9704574. -10543833 Work out 1358148.88 + 3210493. 4568641.88 Add 11015 and 0.110161518. 11015.110161518 Total of -4372844 and 0.4138. -4372843.5862 What is -14204.28211304 plus -0.054? -14204.33611304 2499.20179 - 1388 1111.20179 Calculate -0.1127357 - 45880951. -45880951.1127357 What is the distance between 4.529208 and -385641? 385645.529208 Calculate 4925.4 - 52276.31. -47350.91 Work out -6009605903290 + -1. -6009605903291 Total of 3 and 39802890071723. 39802890071726 What is -6165370 take away -4.219588? -6165365.780412 Add together 7.87632176 and -142. -134.12367824 What is 1.8 - 1678803004182? -1678803004180.2 What is -32788686 take away -139536? -32649150 Subtract 271331 from -37067975. -37339306 Sum 16 and -1029760.768. -1029744.768 What is 213 less than -1679768725844? -1679768726057 What is -200.35408 plus 5257? 5056.64592 What is -915 minus -3922440427? 3922439512 Subtract -180837622893 from -5. 180837622888 What is -28787731 take away 4740058? -33527789 -2624.37253 - 13.4058 -2637.77833 -94225.692616038 + -0.04 -94225.732616038 What is 17526521 take away -3488? 17530009 What is -1428420294916 less than -0.5? 1428420294915.5 What is 2066 + 2670470.8249? 2672536.8249 What is -0.3 less than 466789291398744? 466789291398744.3 Put together 6 and -4212455018. -4212455012 603670.853 + -630.94 603039.913 Work out 14.3 - 948692693361.2. -948692693346.9 -83706 - 126.08841 -83832.08841 8027412355 + -17.673 8027412337.327 What is 73513.61436 + 3531? 77044.61436 What is the difference between -59084456374 and 0.06? 59084456374.06 What is 55358 plus -4.71395869? 55353.28604131 Put together -61.95115651442 and -10. -71.95115651442 5 - 1154677829732.6 -1154677829727.6 Work out 2110 - -1.60324. 2111.60324 Calculate -93298386 - -212.019. -93298173.981 Add -950065 and -715831. -1665896 Total of 56528.1 and -370404. -313875.9 What is -83799492314 less than 0.1? 83799492314.1 -2611338943017 - 0.3 -2611338943017.3 Total of -0.62839312311 and -0.5. -1.12839312311 What is -783.3658 less than -48360343? -48359559.6342 Put together 26868286348 and -4.17. 26868286343.83 Add together -27835579953 and 71. -27835579882 Sum 75475210753 and -144. 75475210609 What is 5394352 minus -34.317? 5394386.317 What is 419293 minus 145.0367? 419147.9633 Calculate -0.111428409052 + -197. -197.111428409052 Subtract 41497043 from 1612242. -39884801 What is the distance between -47.56 and -950476440.3? 950476392.74 What is the difference between -1014.3765 and 949.08? 1963.4565 What is -48.3781823657 take away 0.4? -48.7781823657 Total of 381948100528 and -719. 381948099809 What is -636740816 plus 56? -636740760 Sum -2156366.40696 and 128. -2156238.40696 Sum 735407.7 and 239220. 974627.7 Calculate -2.164380876 - 446. -448.164380876 -6334729 + 222047 -6112682 Sum -0.113 and 1423257611396. 1423257611395.887 What is the difference between 2.73213335 and -9.6041? 12.33623335 What is the distance between 14 and -2227.2432255? 2241.2432255 What is 1689 - 3001.9903? -1312.9903 Work out 12 - 15017370342. -15017370330 What is the difference between -2.212116 and 5614357? 5614359.212116 Add together -3753673299 and -0.1377. -3753673299.1377 -6395254 - -0.14852 -6395253.85148 What is the distance between -546907889 and 0.662? 546907889.662 What is -15948 plus -8105955927? -8105971875 What is the distance between 3 and -45180756096538? 45180756096541 What is 0 - -11935.76852944? 11935.76852944 What is 0.2613 less than -0.04086244? -0.30216244 What is 4 minus -2145114.405336? 2145118.405336 -28+-4829210013 -4829210041 Calculate 17 + 31064755160. 31064755177 What is 1.5399616502 minus -2456? 2457.5399616502 Calculate -2.56918 + 0.0875334931
{ "pile_set_name": "DM Mathematics" }