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84 a factor of 3834503832? False Does 33 divide 3802226? False Is 195 a factor of 89581050? True Is 34465903 a multiple of 212? False Is 19 a factor of 537395335? True Is 20 a factor of 1666111156? False Does 13 divide 634513180? False Is 831 a factor of 1266291714? False Does 7 divide 7143911? False Is 28304542 a multiple of 21? False Is 37311690 a multiple of 55? False Is 86 a factor of 125165518? True Is 13812586 a multiple of 9? False Is 261197581 a multiple of 12? False Does 16 divide 82957199? False Does 550 divide 101740100? True Is 42 a factor of 44584361? False Is 489018225 a multiple of 34? False Is 2262 a factor of 2205990618? True Is 947679042 a multiple of 3111? True Is 13 a factor of 108796101? False Does 2321 divide 28764153? True Does 8 divide 1367967440? True Is 1759470678 a multiple of 18? True Is 35096921 a multiple of 37? False Does 13 divide 94649473? False Does 3411 divide 443387259? False Does 68 divide 753001944? True Is 3 a factor of 570656072? False Does 368 divide 4317220? False Is 19523404 a multiple of 8? False Does 111 divide 828533859? True Does 17 divide 189011219? True Does 118 divide 53711442? False Is 27 a factor of 76404870? True Does 1559 divide 193404079? False Does 41 divide 331609804? True Is 65416080 a multiple of 926? False Is 2756 a factor of 1016853760? True Is 104041578 a multiple of 199? True Is 134588970 a multiple of 30? True Is 31950490 a multiple of 13? True Does 2 divide 40041402? True Does 2623 divide 31264112? False Is 17 a factor of 533205? True Does 10 divide 14047190? True Does 7785 divide 794359267? False Is 266632940 a multiple of 13? False Does 12 divide 47139520? False Is 40033164 a multiple of 197? False Is 64166012 a multiple of 28? False Is 3268266 even? True Is 13749264 a multiple of 8? True Is 811913914 a multiple of 1354? True Does 158 divide 197342? True Is 890 a factor of 1285402137? False Is 650 a factor of 7826650? True Is 2631 a factor of 4088574? True Is 16 a factor of 359321296? True Is 616 a factor of 398496032? False Does 24 divide 55366125? False Is 1976 a factor of 32096061? False Is 130 a factor of 350300946? False Is 995691275 a multiple of 115? True Does 8373 divide 909906006? False Does 1222 divide 62252212? False Does 283 divide 29350083? False Is 31 a factor of 3925966669? False Is 1707071068 a multiple of 5791? False Does 933 divide 88811737? False Does 85 divide 110549470? True Does 814 divide 59463322? False Is 21 a factor of 940464? True Is 247177398 a multiple of 13? True Does 1043 divide 1112691897? False Is 3334510 a multiple of 3? False Is 536643908 a multiple of 96? False Does 2213 divide 18474124? True Is 205159947 a multiple of 39? False Does 569 divide 39911492? False Does 26 divide 111247058? True Is 36392055 a multiple of 739? True Is 51894626 a multiple of 201? False Does 11 divide 167791450? False Does 1951 divide 51602751? False Does 42 divide 1519170190? False Is 174909 a multiple of 8? False Is 52099908 a multiple of 12? True Is 177 a factor of 3199569? False Does 49 divide 686780940? False Is 4581 a factor of 3445639520? False Is 383 a factor of 352888157? True Does 65 divide 27969435? True Is 287263165 a multiple of 7? True Does 91 divide 3507796862? False Does 479 divide 420842531? False Is 17 a factor of 382553270? False Is 28 a factor of 3833631116? True Is 9278544 a multiple of 264? True Is 9 a factor of 4039980? False Is 59761507 a multiple of 4? False Is 5410713 a multiple of 231? True Does 1963 divide 1522767805? True Is 24 a factor of 4135966? False Does 13 divide 238240678? True Is 163080064 a multiple of 16? True Does 245 divide 383425? True Does 1716 divide 467951484? True Does 588 divide 234341138? False Does 470 divide 65797236? False Does 117 divide 1458519075? True Does 1656 divide 117797904? True Does 7 divide 1568979? False Is 1932 a factor of 42062109? False Does 42 divide 204262884? True Does 270 divide 137051730? True Is 10 a factor of 172879481? False Does 1381 divide 12093417? True Is 331337699 a multiple of 25? False Is 7 a factor of 4769642? False Is 10 a factor of 66282103? False Is 2 a factor of 4547685? False Does 23 divide 3052492603? False Is 3965717 a multiple of 49? True Is 36 a factor of 51682787? False Is 10306346 a multiple of 499? True Is 54480177 a multiple of 35? False Does 54 divide 13529214? True Does 1718 divide 1991201819? False Is 4 a factor of 159092238? False Is 1034 a factor of 74978799? False Does 52 divide 154780653? False Does 58 divide 31040556? True Does 39 divide 1781957933? False Is 100146872 a multiple of 3086? True Does 1385 divide 152457792? False Does 19 divide 96892797? False Is 280 a factor of 175573720? True Does 25 divide 594708400? True Does 1044 divide 195963962? False Is 1328 a factor of 145164511? False Is 47436940 a multiple of 5? True Does 3194 divide 46830620? False Is 479487183 a multiple of 2245? False Is 1997 a factor of 72133637? True Does 47 divide 38637340? False Is 86802300 a multiple of 3900? True Is 36 a factor of 1719523260? True Does 1674 divide 219836525? False Is 268689400 a multiple of 155? True Does 6970 divide 227045446? False Is 266 a factor of 279222892? False Does 126 divide 77383404? True Is 880 a factor of 1769277516? False Is 12209970 a multiple of 1382? True Is 13 a factor of 96100412? False Does 935 divide 64109845? False Is 7131328 a multiple of 93? False Does 361 divide 13786229? True Does 15 divide 80051925? True Is 11086 a factor of 3336974688? True Is 257664778 a multiple of 712? False Is 35 a factor of 119105759? False Is 1056025 a multiple of 3? False Is 389119314 a multiple of 14? False Is 52023700 a multiple of 1917? False Is 38 a factor of 17451234? True Is 633 a factor of 35337225? True Does 19 divide 71396580? False Is 58061196 a multiple of 2? True Is 24640668 a multiple of 12? True Is 28293740 a multiple of 1282? True Does 2125 divide 32453000? True Is 14 a factor of 15060436? False Is 1856290212 a multiple of 1531? False Is 83593056 a multiple of 1227? True Is 3527361 a multiple of 316? False Does 1045 divide 158596515? True Is 151 a factor of 517231219? False Is 186546720 a multiple of 205? True Is 3314352 a multiple of 301? False Does 12 divide 144665322? False Is 2 a factor of 43460311? False Does 3 divide 6006144? True Is 12237935 a multiple of 231? False Is 169 a factor of 156073432? False Does 34 divide 52710230? False Does 83 divide 5231407? True Is 7733653 a multiple of 8? False Does 89 divide 5379605? True Is 2290123314 a multiple of 235? False Is 519097499 a multiple of 19? True Is 218499888 a multiple of 1103? True Does 11 divide 54197176? True Is 6 a factor of 7914936? True Is 409704771 a multiple of 21? True Is 191690241 a multiple of 42? False Is 3 a factor of 3634797? True Does 32 divide 145326592? True Is 1134 a factor of 188540192? False Does 8 divide 8780374? False Does 5145 divide 373099965? True Does 36 divide 359012700? True Is 324930480 a multiple of 1438? True Does 322 divide 172012467? False Is 4019416129 a multiple of 712? False Does 249 divide 164862? False Is 40 a factor of 10447884? False Does 950 divide 1050047350? True Is 1399 a factor of 32160212? True Does 286 divide 95263454? True Does 583 divide 382577902? False Is 8 a factor of 44066260? False Is 17 a factor of 468152165? False Is 249674460 a multiple of 15? True Does 2038 divide 189272329? False Does 11 divide 27471635? False Is 21990982 a multiple of 326? True Is 747 a factor of 20397164? False Is 3052 a factor of 96992560? True Is 89667310 a multiple of 334? True Does 30 divide 100972800? True Is 379486459 a multiple of 67? True Is 34574517 a multiple of 31? True Is 23 a factor of 24622840? False Is 203 a factor of 2010481? False Is 2921 a factor of 27936444? True Does 4 divide 2972635? False Does 694 divide 60966078? False Is 26 a factor of 1069389? False Is 179644005 a multiple of 119? False Does 21 divide 511152968? False Does 7 divide 125592061? True Is 27776273 a multiple of 4? False Does 141 divide 152255979? False Is 262891068 a multiple of 627? True Is 20 a factor of 74907407? False Does 119 divide 11946443? False Is 521 a factor of 650899778? False Is 13758 a factor of 27034470? True Is 146275870 a multiple of 130? True Does 2 divide 20
{ "pile_set_name": "DM Mathematics" }
2*t - 158 = 231*t, -156 = 5*k - 4*t for k. -32 Solve 65*j - 29 + 5 = 68*j + 36*v - 42*v, -4*j + 23 = 3*v for j. 2 Solve 5*c + 4*q + 168317 = 168345, 5*q - 1 = -2*c for c. 8 Solve -f + 13 = 3*v, -728*f + 352*f + 4*v = -373*f + 26 for f. -2 Solve -8*f - 254 + 91 + 427 = -8*w, -w + 3*f - 97 = -0*w for w. -1 Solve 19*i + 2*l = -50, 413*l - 71 = -2*i + 414*l for i. 4 Solve 77*h - 7*h + 130 = -15*k + 34*h + 31*h, -5*k = 3*h + 50 for k. -7 Solve 156*u = 5*x - 1038 + 1084, 64 + 23 = 4*x - u for x. 22 Solve 2*r + d = -3*d + 84, -8*d = -13*d + 115 for r. -4 Solve -105 = -6*w - 5*l, 45*w + 3*l = 44*w + 37 - 26 for w. 20 Solve 0 = -5*s - 2415*k + 2410*k + 55, -3*s + 182 = -16*k + 149 for s. 11 Solve -2*j + 0*j - a + 36 - 14 = 0, -2*j - 2*a - 6*a + 50 = 0 for j. 9 Solve 3*o - 98 = -5*r, -63074*o = -2*r - 63073*o - 18 for r. 4 Solve -5*h + a - 110 = 0, 11*a + 9 = -340*h + 688*h - 346*h for h. -23 Solve 234 = 1442*z - 2878*z + 1439*z - 3*t, 5*t + 110 = 2*z - 58 for z. 74 Solve 2*d + 5*x + 31 = 11, 8*d - 8*d + 12 = 5*d - 3*x for d. 0 Solve 1 = -3*s + 2*g, 4*s - 1 - 15 = 16*g - 9*g for s. -3 Solve -3*p + 5*o = 5 + 7, 48*p + 9*o - 13*o - 36 = 0 for p. 1 Solve 4*j - 216 = -16179*f + 16183*f, -555 = -2*f - 11*j for f. -3 Solve 4*y + 114 = -2*p, -32 + 84 = -6*y - 2*p - 118 for y. -28 Solve 4*z + 3*f = 56, 3*z + 12 = -z + 4*f - 16 for z. 5 Solve -2*v = -4, -5*z + 5*v = 2*z + 2*v - 22 for z. 4 Solve -2*p - 6*p = 4*b - 56, -153*b = 153*b - 303*b - 4*p + 48 for b. -4 Solve 0 = -i - s - 30, 0 = 841*i - 842*i + 5*s - 39 + 207 for i. 3 Solve 0 = -3*k + 5*h + 83, 14*k - 3*k - 24 = -3*h + 323 for k. 31 Solve -4*k = -5*r + 1, -182*k + 4 = 5*r - 183*k for r. 1 Solve -k + 3*h - 61 = 0, -2658*k + 2663*k = -8*h + 132 for k. -4 Solve -567*u - h = 569*u - 1139*u + 56, -2*u + 2*h = -116 for u. -1 Solve 2*p + 31*t + 26 = 6*p + 56*t - 28*t, 6*t - 9*t = -3*p + 27 for p. -1 Solve x = 34182*p - 34183*p - 25, 45 = -2*p - x for p. -20 Solve -4*k = p + 121, 389339*p = 389342*p + 4*k + 115 for p. 3 Solve 4*m - v - 32 = 0, -41*m - 8*v - 116 = -38*m for m. 4 Solve 0*o - 162 = 3*o - 3*s, -3*o + 2742 = 3*s + 2580 for o. 0 Solve 0 = -22*b + 72467*y - 72462*y - 2, -2*y = 3*b + 11 for b. -1 Solve 1361*f - 20 = 1357*f, 14*f + 125 = 5*c + 410 for c. -43 Solve -625*i - 5*c + 120 = -630*i, 2*i = -4*c - 18 for i. -19 Solve o - 2*f = -5*f + 66, 36037*o - 60 = 36038*o - 3*f for o. 3 Solve 3*b - 2*q + 19265 = 19246, 25*b - 27*b - 2*q - 6 = 0 for b. -5 Solve -227*t - 3*y = -231*t - 13 + 187, 18*t = 5*y + 324 for t. 3 Solve 0 = 3*i - 4*i + 4*l - 25, -38*i + 6*i - l = -36*i + 5 for i. 3 Solve 0 = -p + 2*z + 41, 625*p - 316*p - 2*z = 311*p + 44 for p. -1 Solve -2*c - 3*g - 15 = -6*c - 11, 175 = -27*c - 5*g for c. -5 Solve 11*x = 15*x + 5*c + 109, -x + 7*x = -12*c - 186 for x. -21 Solve 4*o = -2*c - 174, -6*c - 16*o + 93 = -19*o for c. -5 Solve -2*z = -u + 10, 83*u - 712*z + 708*z + 124 = 93*u for u. 12 Solve a - 114*b - 107 = 0, 7*a - 166 + 144 = 10*a + b for a. -7 Solve -8*x = 4*f + 12, -2*x - 12683 = 2*f - 6343 - 6344 for f. 7 Solve 3*w + y - 11 = 0, -13*w - 4*y + 51 = -8*w - 11*y + 11*y for w. -1 Solve 3*m - 7*m - 16*o - 105 = -4*o - o, -15 = 4*o - 3 for m. -18 Solve 20827*h + 2*o = 20822*h - 161, -33*h = -3*o + 1095 for h. -33 Solve 1392766 = 3*t - 35*x + 1391567, t = -2*x - 65 for t. 3 Solve 0 = s - 2*v - 25, 5*v + 30 = -418874*s + 418870*s for s. 5 Solve 160*q - 832 = 4*x, -21*x - 2*q + 50 = -0*x - 26*x for x. -8 Solve 4965*r - 4963*r - 25 = -3*p, 5*r + 15 = p - r for p. 9 Solve 3*j = 2*i + 111, i + j = 4*j + 6103 - 6211 for i. -3 Solve 0 = -3*p + 5*l + 41, -p + 2315*l = 2313*l - 15 for p. 7 Solve 0 = -g - 1336*k - 1344*k + 2675*k - 17 + 123, 0 = g + 4*k - 84 for g. -4 Solve -6*p + 5*p = -5*p - 3*g + 9, -28 = -5*p + 18*g - 5*g for p. 3 Solve 0 = -5*u + 5*y, -10*u + 39 - 27 = -11*u - 2*y for u. -4 Solve 3*q = 2*t + 36, 36*q + 24 = 35*q - 4*t - 62 for q. -2 Solve 3*o = 11*x + 206 - 193, 5*o = 5*x - 5 for x. -2 Solve 5*b - 27*x + 5*x - 2*x - 32 = -5*x - 20*x, -332 = -3*b - 19*x for b. 3 Solve -5*q + 93984*n - 93983*n = 14, -5*q + 3*n = 2 for q. -4 Solve 4*g + 278 = -g - 5*q + 248, -2*g + 4*q + 6 = 0 for g. -3 Solve 2*c - 30*l = -28*l + 2, 0 = 4*c - 5*l - 9 for c. -4 Solve -5*b + b + 9*b + 5*x - 8607 + 8692 = 0, -81 = 5*b + 4*x for b. -13 Solve -2*j + 5*j = -5*r - 98, 790*j + 124 = 786*j for r. -1 Solve -j = -4*s - 1084 + 1127, -259*j = -256*j - 194*s + 1949 for j. -3 Solve -2*s = -t - 15, 164*s + 22*t - 84 = 162*s for s. 9 Solve -3*x - 3*g + 138 = 0, 1944*g = 2*x + 1939*g - 57 for x. 41 Solve 1734*x - 1765*x = 5*i - 164, i - 5*x + 12 = 0 for i. 8 Solve 0 = -5*q - 3*z - 46, 13508*q - 13512*q + 2*z - 6 = 0 for q. -5 Solve 0 = q + 6*j - 149, 73*j - 19 = q + 72*j for q. 5 Solve 222 = -5*r - 322*m + 310*m, -5*r - 266 = m for r. -54 Solve -4*i - 108 = 0, -77 = -114810*f + 114811*f + 3*i for f. 4 Solve 873 - 1477 = -153*l - 5*v, 2*v = -4*l + 70 for l. 3 Solve -4*k = 84, 3*s - 99 = 74240*k - 74235*k for s. -2 Solve -7*l + 4*d = -157*l + 1780, 1560*d = -l + 1564*d + 32 for l. 12 Solve -4*c - 5*o + 26 = 0, 2*c + 5*o - 67927084 = -67927076 for c. 9 Solve -8*t + 3*t - j - 27 = 0, -18*t + 41*j = -13*t - 57 for t. -5 Solve 5*f - 56 = 4*u + f, -224990*u + 44*f = -224994*u - 152 for u. -16 Solve 20 = 5*p, 10*z - 3622*p = -3621*p + 131 + 15 for z. 15 Solve -b = -171*g + 173*g + 25, -2*b = 2*g + 22 for g. -14 Solve -2*v + 32 = -4*b, -v + 2 = 38*b - 33*b for b. -2 Solve -102*s + 36*a - 25 = -97*s, 0 = 4*s + 5*a + 20 for s. -5 Solve 0 = -5*n + 3*k - 32, -2*n - 31 - 25 = -k - 45 for n. -1 Solve 93*k - 1923 = 306*k + h, 5*k + 12*h + 19 + 14 = 25*h - 11*h for k. -9 Solve u + 6 = -h, -2164*u = -2161*u - 2*h + 13 for u. -5 Solve 5*i = 3*k - 20, 4*k - 106 + 176 = -2*i + 88 for k. 5 Solve -3*q + 6*l = 129, -120*q + 115*q - 140 = 5*l for q. -33 Solve -51*i + 22*i - 3*j - 213 = -24*i, j = -j - 2 for i. -42 Solve 2*l - 9763 + 9775 = 2*u, -4*u = l + 1 for l. -5 Solve -2*r + 8*c - 18 = -21 + 19, -r - 3*c - 1 = 0 for r. -4 Solve -4*l + 117*c + 22 = 116*c, 2*l - 5*c - 56 = 0 for l. 3 Solve -6*g - 49*m + 18*m - 81 = -28*m, 2*m = -46 for g. -2 Solve -13*k + 36*o + 321 = 0, -60677*k + 27 = -60676*k - 3*o for k. -3 Solve -30*f + 710*d = 717*d - 113, 18 = 5*f + 2*d for f. 4 Solve -10*q + 12*q + 2*t = -42, 2*q + 37 + 95 = -20*t for q. -16 Solve -8*f = -u - 194, 6*u - 4*f + 102 = 3*u for u. -2 Solve 1111 = -i - 0*x + x + 1128, 5*i + 0*i - x = 89 for i. 18 Solve -5*p - n - 3 - 6 = 0, -196 - 29 = -3*p + 9*n for p. 3 Solve 9943 - 9949 = 4*f + s, 0 = 19*f - 6*s + 93 for f. -3 Solve -8*z - 65 = -3*w, -2*w + 43 = -13463*z + 13458*z for w. 19 Solve l - 56 = 3*x, 0 = 4037*x - 4042*x + 7*l - 104 for x. -18 Solve 2*h = -5*s + 14, -6 = -1028684*s + 1028681*s - 2*h for s. 4 Solve -22*q + 21*q = 3*u - 0 + 8, -12*q = -3*u + 18 for u. -2 Solve -26895*l + 4*z + 13 = -26894*l, 5*l = -z + 149 for l. 29 Solve 0 = 2*p - 3*u - 48, 3*p = -17*u - 14378 + 14364 for p. 18 Solve -4*s + 60*i = 57*i - 13, 0 = 6*s + 56*i + 162 for s. 1 Solve 0 = -5*p + 5*c + 70, 13723*p - 13722*p - 42 = 3*c for p. 0 Solve 2*o - 10 = 3*a, 112*a - 79*o = 108*a - 346 - 49 for a. 0 Solve -3*f + f - 30 - 56 = -4*w, -317 = -4*w + 9*f for w. 5 Solve 0 = 4*c + 2*x, 3*c - 3*x - 316 = -5*x - 318 for c. 2 Solve -152*d - 417 = -h - 3613, 4*d = -18*h + 8 + 14 - 10 for h. -4 Solve b - x + 1 = 0, 11*b = -18069*x + 18071*x - 20 for b. -2 Solve -1322487*a = -1322491*a - 2*y + 90, 3*a - 75 = y for a. 24 Solve 5*q + 1098*a - 163 = 1101*a, 2*q + 226 = 2*a - 6*a for q. -1 Solve -c = 4*s + 3*c - 48, -2482*c + 2487*c = -4*s + 62 for s. -2 Solve -2080*l = 2077*l - 4161*l + 3*d + 15, 4*l - 61*d + 159 = 0 for l. 6 Solve -5*c = -y - 27, 0 = 3*c + y - 611 + 590 for c. 6 Solve -42*i - 27*l = -26*l - 129, 0 = -4*i + i + 5*l - 6 for i. 3 Solve -2*j - 1423*r + 1428*r = -0*j - 46, -4*r + 16 = 0 for j. 33 Solve -25*v + 40*v + 5*q - 64 = 18*v, 6*v + 5*q = 37 for v. -3 Solve 12 = -12*k - 4*y, 3*k - 12*y + 459 = -18*y - 33*y for k. 3 Solve 5*i - 206 = 2*d, 5471 = 3*d + 17526*i - 17389*i for d. -3 Solve -13*x - 5*j + 30 = -18*x, 13*x + 121*j + 21 = 115*j for x. -3 Solve -4*d = -k - 25, 4069*k = 4067*k + 11*d - 62 for k. -9 Solve 90*x - 88*x + 8*v - 3*v = 36, 16*v = 17*v - 137*v + 272 for x. 13 Solve 2*n = s + 4, -25 = -n +
{ "pile_set_name": "DM Mathematics" }
0, 0.15, 4 Put -98, 2, -2 in descending order. 2, -2, -98 Sort 11, -4, -117, 0 in increasing order. -117, -4, 0, 11 Put 1, 4, -30 in descending order. 4, 1, -30 Sort 2, 0.5, 1/8, 2/3. 1/8, 0.5, 2/3, 2 Put -6, -3, -65 in ascending order. -65, -6, -3 Sort 44, 5, 2 in descending order. 44, 5, 2 Put 40.3, 3, 0.1 in decreasing order. 40.3, 3, 0.1 Sort 6, 1/5, -2, 0 in decreasing order. 6, 1/5, 0, -2 Put -2, -204, 1 in decreasing order. 1, -2, -204 Sort -6, -177, 4 in increasing order. -177, -6, 4 Put -0.4, -3/2, 8/7, -3 in increasing order. -3, -3/2, -0.4, 8/7 Put 88, 2, -2, 5, 4 in descending order. 88, 5, 4, 2, -2 Sort 2, -5, 8 in descending order. 8, 2, -5 Put -45, 5, -0.3, -18 in ascending order. -45, -18, -0.3, 5 Sort -3, -1.6, -2/3, 4 in descending order. 4, -2/3, -1.6, -3 Put 188, -3, 3, 1 in increasing order. -3, 1, 3, 188 Sort -3, -1, -73, -4 in decreasing order. -1, -3, -4, -73 Put 0, -2, 3, 2, -8 in descending order. 3, 2, 0, -2, -8 Put 4, -3, 17 in descending order. 17, 4, -3 Put 6, 3, 11, 2/13, 13 in increasing order. 2/13, 3, 6, 11, 13 Put -4, 3, -0.043, -3 in ascending order. -4, -3, -0.043, 3 Sort 5, 3.7, 0.5, -0.1. -0.1, 0.5, 3.7, 5 Sort 4, 0, -5 in decreasing order. 4, 0, -5 Put 1/3, 3, 1.9, 2, -3 in descending order. 3, 2, 1.9, 1/3, -3 Sort -5, 2, -414 in decreasing order. 2, -5, -414 Sort -1, 3, 10, -51, 2. -51, -1, 2, 3, 10 Put -1, -5, -64, 2 in ascending order. -64, -5, -1, 2 Sort -3/4, 1/10, 0, -1. -1, -3/4, 0, 1/10 Put 3, -2/9, 0.5, 1/698 in descending order. 3, 0.5, 1/698, -2/9 Sort -11, 2/7, -1/20, -1/6. -11, -1/6, -1/20, 2/7 Put 2210, 0, 5 in ascending order. 0, 5, 2210 Sort -3/2, -133/5, -3, -0.5. -133/5, -3, -3/2, -0.5 Sort -0.1, -3, -34, -0.01. -34, -3, -0.1, -0.01 Sort 0.01, 0.04, -4, 1/2, -2/3 in descending order. 1/2, 0.04, 0.01, -2/3, -4 Sort -2, -4, 10, -1 in decreasing order. 10, -1, -2, -4 Sort 1, -2, 5936. -2, 1, 5936 Put 0.07, -2, -9, 0 in decreasing order. 0.07, 0, -2, -9 Sort -43, -5, 1. -43, -5, 1 Sort 5, 0, 7, -4, -5. -5, -4, 0, 5, 7 Sort -8, -30, -6 in descending order. -6, -8, -30 Sort 4, -3, 0, 7 in descending order. 7, 4, 0, -3 Put 1, -3, 4, -4 in ascending order. -4, -3, 1, 4 Put 4, 1/6, 0.4, -1/7 in decreasing order. 4, 0.4, 1/6, -1/7 Put -0.4, -20, -1/3, 0.4 in descending order. 0.4, -1/3, -0.4, -20 Sort 131, -9, 3 in descending order. 131, 3, -9 Put -1, 5, 273, 1 in ascending order. -1, 1, 5, 273 Sort -12, -0.05, 3. -12, -0.05, 3 Put -0.3, 6, 4, -1.3 in decreasing order. 6, 4, -0.3, -1.3 Sort 34, -13, 3. -13, 3, 34 Sort -4, 3, 24, -5. -5, -4, 3, 24 Put 0.4, 2/9, 3/13 in ascending order. 2/9, 3/13, 0.4 Put 1, 2, -3, 44 in descending order. 44, 2, 1, -3 Sort -9/7, -0.34, -4/9 in increasing order. -9/7, -4/9, -0.34 Put 1, 2, 3, 0 in increasing order. 0, 1, 2, 3 Sort 3, -4, 44, -2. -4, -2, 3, 44 Sort -20, 8, 12, -1 in decreasing order. 12, 8, -1, -20 Sort -152, 5, 3. -152, 3, 5 Sort -3, -4, -8, 2 in increasing order. -8, -4, -3, 2 Put 3, -2.2, 2 in decreasing order. 3, 2, -2.2 Sort -5, 2, 4, -2, 389 in decreasing order. 389, 4, 2, -2, -5 Sort 4, -5, 3, 1690 in descending order. 1690, 4, 3, -5 Put -4556, -4, -5 in ascending order. -4556, -5, -4 Put 4, -1, 16, 1, -5 in decreasing order. 16, 4, 1, -1, -5 Put 1, 5, -15 in ascending order. -15, 1, 5 Put -241, -2/3, -0.5, -0.3, 1/7 in descending order. 1/7, -0.3, -0.5, -2/3, -241 Sort -2, 1, 5, -21. -21, -2, 1, 5 Put -1, 4, 62, -0.3 in increasing order. -1, -0.3, 4, 62 Put 4, -10, 0 in descending order. 4, 0, -10 Put -2, -0.013, 1/6 in ascending order. -2, -0.013, 1/6 Put 64, 2, -2 in increasing order. -2, 2, 64 Sort 0, 333, -2, -1 in increasing order. -2, -1, 0, 333 Put 0, 7, 5, -21, 1 in descending order. 7, 5, 1, 0, -21 Sort -1, -2, 2, 5 in decreasing order. 5, 2, -1, -2 Put -2, 4, 8 in decreasing order. 8, 4, -2 Put -2, -60, 1 in descending order. 1, -2, -60 Sort -4, 0.05, 3/10, 1.3. -4, 0.05, 3/10, 1.3 Sort 0, -4, 498, -1 in descending order. 498, 0, -1, -4 Sort -3, 2, -0.05, -0.51 in decreasing order. 2, -0.05, -0.51, -3 Put -1, -4, 58, 2 in ascending order. -4, -1, 2, 58 Sort 81, 4, 0.5, -20 in decreasing order. 81, 4, 0.5, -20 Sort -2/61, 0.16, -1/2, -0.2 in descending order. 0.16, -2/61, -0.2, -1/2 Sort 3, 4, 20, 0.9, -0.01 in decreasing order. 20, 4, 3, 0.9, -0.01 Sort -3/14, 2, 3/5, -3/16 in descending order. 2, 3/5, -3/16, -3/14 Sort -3, -3/2, 1, -2. -3, -2, -3/2, 1 Put -2, 1/6, -10 in ascending order. -10, -2, 1/6 Sort 0.2, -0.1, -5, -13/7 in descending order. 0.2, -0.1, -13/7, -5 Sort -5, 0, -2, -15 in descending order. 0, -2, -5, -15 Sort 17025, -5, 2. -5, 2, 17025 Put -5, 4, 488 in decreasing order. 488, 4, -5 Sort -4, -5, 6, -2, 85 in ascending order. -5, -4, -2, 6, 85 Sort 0, -52, -9 in increasing order. -52, -9, 0 Sort -45, -3, 2, -1. -45, -3, -1, 2 Put -3, -0.7, 2, 0.13 in decreasing order. 2, 0.13, -0.7, -3 Put 2, -18, -25, 1, -5 in decreasing order. 2, 1, -5, -18, -25 Put 1/2, -2/5, -0.5, 0 in descending order. 1/2, 0, -2/5, -0.5 Sort -3, 0.12, 6, -2/23. -3, -2/23, 0.12, 6 Put -0.3, -1/9, -2, 0.03 in ascending order. -2, -0.3, -1/9, 0.03 Sort -3, 24, 5 in ascending order. -3, 5, 24 Put -4, -13, -24 in decreasing order. -4, -13, -24 Sort 0.1, 0.5, -18, -0.15 in ascending order. -18, -0.15, 0.1, 0.5 Sort -1, 0, 49 in increasing order. -1, 0, 49 Put -5, 3, -385 in descending order. 3, -5, -385 Sort -0.1, 0.3, -0.5, -6 in decreasing order. 0.3, -0.1, -0.5, -6 Sort 10, 4, -325 in increasing order. -325, 4, 10 Put 0.02, -0.3, 64 in descending order. 64, 0.02, -0.3 Sort 1/11, 1, 0. 0, 1/11, 1 Sort -166, -0.3, -4 in increasing order. -166, -4, -0.3 Put -2, -0.5, 26, -3, 2/7 in decreasing order. 26, 2/7, -0.5, -2, -3 Sort -2, 1, 405. -2, 1, 405 Sort 0.3, 4/5, 0.05. 0.05, 0.3, 4/5 Sort -0.3, -0.1, -1/15. -0.3, -0.1, -1/15 Put -53, 0, 22 in descending order. 22, 0, -53 Put -4, 0, -5, 1, -12 in descending order. 1, 0, -4, -5, -12 Sort 2, 6, 5, 3, -3. -3, 2, 3, 5, 6 Sort -2, -4, 2, -3 in ascending order. -4, -3, -2, 2 Sort -0.04, -0.002, 0, -5 in descending order. 0, -0.002, -0.04, -5 Sort -12/229, 4, 0 in descending order. 4, 0, -12/229 Put 5, 14, -28 in increasing order. -28, 5, 14 Sort 3, -0.09, -1, -5 in increasing order. -5, -1, -0.09, 3 Sort 5, 1/3, -12. -12, 1/3, 5 Sort 4, -8, 0. -8, 0, 4 Put 9, -1, 0 in descending order. 9, 0, -1 Put -4, 102, 5 in decreasing order. 102, 5, -4 Sort -4, 0.029, -0.4, -2 in decreasing order. 0.029, -0.4, -2, -4 Put 80, -4, 7, 3 in descending order. 80, 7, 3, -4 Sort -4.3, 0.1, -5, -2/13. -5, -4.3, -2/13, 0.1 Sort 3/7, -0.1, 3, 4. -0.1, 3/7, 3, 4 Sort -5, -10, 3, -0.5, 2/5. -10, -5, -0.5, 2/5, 3 Sort 4, -14, 1, -8 in decreasing order. 4, 1, -8, -14 Sort -1, -4, 4, 5, 57 in ascending order. -4, -1, 4, 5, 57 Sort -0.052, 5, -0.4 in ascending order. -0.4, -0.052, 5 Put 3, -3, -83 in descending order. 3, -3, -83 Sort -5, -1, -0.4, -0.3, -77/3 in increasing order. -77/3, -5, -1, -0.4, -0.3 Sort 8/7, 0.2, -2/21, 2/7 in ascending order. -2/21, 0.2, 2/7, 8/7 Sort 19, -1, -7 in decreasing order. 19, -1, -7 Sort -6, 0.3, -1/5 in decreasing order. 0.3, -1/5, -6 Sort 2/13, 1/7, 3, -16 in descending order. 3, 2/13, 1/7, -16 Sort 0, -8, -1, -3 in decreasing order. 0, -1, -3, -8 Put -6, 1.1, -1/2 in descending order. 1.1, -1/2, -6 Put -2, 2, 18, -5, 100 in increasing order. -5, -2, 2, 18, 100 Sort 1, 5, -243. -243, 1, 5 Put 3, 0, -53 in ascending order. -53, 0, 3 Put -9, 1, 3, 4 in ascending order. -9, 1, 3, 4 Sort -5, 2, 14, -8, -2. -8, -5, -2, 2, 14 Sort 6, 0.03, 0.21, -4/7 in descending order. 6, 0.21, 0.03, -4/7 Sort 0.4, 25/4, 0.5. 0.4, 0.5, 25/4 Put 6, -1, 1, -4 in decreasing order. 6, 1, -1, -4 Sort 2/7, -1, -0.73 in ascending order. -1, -0.73, 2/7 Sort 5, -276, 3 in increasing order. -276, 3, 5 Put 2/103, 5, 4 in increasing order. 2/103, 4, 5 Sort -5, 352, -0.5 in increasing order. -5, -0.5, 352 Sort -19, -87, 5, 3. -87, -19, 3, 5 Sort -10, -6, 4, 5 in descending order. 5, 4, -6, -10 Sort 30, -5, 6, 3. -5, 3, 6, 30 Put 0, 1, 4, -2 in decreasing order. 4, 1, 0, -2 Sort 2/3, -6/23, 5 in descending order. 5, 2/3, -6/23 Sort -5, -27, -1, 0. -27, -5, -1, 0 Sort 4, -3, -4, -2. -4, -3, -2, 4 Put -5, -4, 0.07, 0.5 in descending order. 0.5, 0.07, -4, -5 Put 52, 0.5, 62, -3 in decreasing order. 62, 52, 0.5, -3 Put -3, 21, 3
{ "pile_set_name": "DM Mathematics" }
ded by r? 12 Let y(n) be the third derivative of n**6/60 + n**5/30 - n**4/24 - n**2. Suppose 16*b - 17*b = -6. What is the remainder when y(2) is divided by b? 4 Let y = -154 - -168. What is the remainder when 37 is divided by y? 9 Let d = 172 - 119. Let m = -822 + 836. What is the remainder when d is divided by m? 11 Let l(m) = m**3 + 6*m**2 + 12. Let n = 59 - 65. Calculate the remainder when 35 is divided by l(n). 11 Suppose 0*n - 3*n + 36 = 0. Let o(v) = 7 - 36*v**2 + 0*v - 2*v + 31*v**2 + 2*v**3. What is the remainder when o(4) is divided by n? 11 Let g(i) = 9*i + 3 - i - i**2 + 5 + 3. Let u(x) = -x**3 + 13*x**2 + 17*x - 35. Calculate the remainder when u(14) is divided by g(9). 1 Suppose -2*h - 452 = -2*k - 124, 4*h = -4*k + 648. Calculate the remainder when k is divided by 35. 23 Let i(s) = 3*s**2 - 2*s - 54. Suppose -2*a = 4*v - 82, 0*v = v. Calculate the remainder when i(8) is divided by a. 40 Calculate the remainder when 1605 is divided by (935/34)/(30/24). 21 Let c(i) = i + 69. What is the remainder when 181 is divided by c(-6)? 55 Calculate the remainder when (-255 + 0)*12/(-30) is divided by 13. 11 Let g = 161 - 143. What is the remainder when 30 is divided by g? 12 Suppose 2*i - 20 = -4*m, 2*m - 5*m = -i - 5. Suppose 0 = 6*s - i*s + 18. Calculate the remainder when (-2056)/(-18) + 2/s is divided by 29. 27 Suppose 13*k - 491 = -3*w + 11*k, 2*w + k - 328 = 0. Calculate the remainder when 2474 is divided by w. 164 Let k = 74 + -70. Suppose 3*t + 5*l - 74 = 29, k*t = l + 122. What is the remainder when t is divided by 17? 14 Let y(k) = 2*k**2 + 8*k + 5. Let p be y(-5). Let z = -12 + p. Suppose -7 = -5*c - 2, -55 = -z*u - 4*c. Calculate the remainder when 65 is divided by u. 14 Suppose -2*m - 3*q + 61 = 0, -5*m + 43 = -3*m - 3*q. Let h = m + -8. Calculate the remainder when h is divided by 4. 2 Let o(j) = -j + 3. Let q be o(-9). Suppose 5*g - 8 = q. Calculate the remainder when 11 is divided by g. 3 Let i(m) = m + 41. What is the remainder when i(23) is divided by -2 + 5 + -3 - -22? 20 Let j be ((-3)/2)/((-3)/4). Suppose -3*d = a - j*d - 62, 3*d + 310 = 5*a. Let q = a + -43. What is the remainder when q is divided by 11? 8 Let a = -34 + 72. Suppose -c - 3*c = -32. Calculate the remainder when a is divided by c. 6 Suppose -3*b = 3*h - 66, 7*h = 5*b + 4*h - 70. Calculate the remainder when 44 is divided by b. 10 Suppose 5*q = 3*m - 31, 5*q = -3*m - 20 + 1. Suppose 4 = m*i + 2. Calculate the remainder when (-3 + 0)/i - -76 is divided by 37. 36 Suppose 48 + 180 = 4*x. Suppose -b = 15*b - 240. Calculate the remainder when x is divided by b. 12 Suppose -8*m - 119 = -335. Suppose m + 282 = 3*d - 3*u, -4*d = 3*u - 440. What is the remainder when d is divided by 27? 26 Let a = 3791 - 2692. What is the remainder when a is divided by 38? 35 Suppose k + 4*s - 9*s - 101 = 0, k - 108 = -2*s. What is the remainder when k is divided by 10? 6 Suppose 113 = 5*f + 2*h - 28, h + 51 = 2*f. Calculate the remainder when 79 is divided by f. 25 Suppose 4*m + 3*y = 68, -2*y - 2*y = -16. Let b = 1646 - 2452. What is the remainder when b/(-12) + 3/(-18) is divided by m? 11 Suppose 0 = 2*h - 1 - 5. Suppose -3*a = c - 44, 2*a - 65 - 32 = -h*c. Calculate the remainder when 85 is divided by c. 27 Let s(w) = 6*w**2 + 16*w + 20. What is the remainder when s(6) is divided by 37? 36 Suppose -5*l - 3*l = 280. What is the remainder when 7 is divided by 1*(2/18 - l/9)? 3 Let o = 259 + -179. Calculate the remainder when o is divided by 17. 12 Suppose 3*r + 2*r + 3*d - 8 = 0, 28 = 5*r - 2*d. Suppose -2*y - 21 = g - 54, 3*y - r*g - 77 = 0. What is the remainder when 72 is divided by y? 15 Suppose -20 = 5*p, 4*p + 0*p + 300 = 4*r. Let q = -29 - -53. What is the remainder when r is divided by q? 23 Suppose -2*o = 5*f - 3*f - 332, -4*f = 5*o - 832. Calculate the remainder when o is divided by 57. 54 Suppose -c + 9 - 2 = 0. Suppose 0 = -3*z + 8 + c. Suppose -z*o + r = 4*r - 53, -4*o - 3*r = -43. What is the remainder when o is divided by 3? 1 Suppose w - 3*c - 1266 = -4*w, 0 = -3*w + 3*c + 756. What is the remainder when w is divided by (-6)/((-18)/123) + 4/2? 40 Let s(v) = v**2 + 14*v. Suppose 47 + 9 = -4*n. Let d be s(n). Suppose -l + 55 = -d*l - k, 0 = 2*l + 4*k - 140. What is the remainder when l is divided by 16? 12 Let p be 1/(-2*3/834*-1). Let i = p + -126. What is the remainder when i is divided by 6? 1 Let z(y) = -y - 10. Let p be z(8). Let d = p + 14. Calculate the remainder when 93 is divided by d/(-3 + (-44)/(-16)). 13 Let c = 4 + 28. What is the remainder when 122 is divided by c? 26 Suppose -15*c = -533 - 277. Let p(q) = -q**2 + 8*q + 6. Let a be p(8). What is the remainder when c is divided by (-2 - 1)/(a/(-28))? 12 What is the remainder when -13 + 67 - (-4 - 1) is divided by 21? 17 Suppose 4*x - 102 = 2*r, -4*x - 2*r + 83 = -39. Let f = -22 + 38. What is the remainder when f is divided by (x/(-10) + 1)/(5/(-25))? 7 Let u be (-1)/1*(2 + -4). Suppose u*x + 27 = 1. What is the remainder when 11 is divided by 3/6 + x/(-2)? 4 Suppose 10*r + 27 - 107 = 0. Let z = 8 + 13. Calculate the remainder when z is divided by r. 5 Calculate the remainder when (-10)/(-75) - (133/(-15) - 0) is divided by 24/16*16/6. 1 Calculate the remainder when (-1)/(4 - 3976/992) is divided by 27. 16 Let d be (-3)/(-15) - (1 - (-12)/(-15)). Suppose -1 = -x, d*x - x = -2*v + 29. What is the remainder when v is divided by 9? 6 Let o = 1203 - 1196. Calculate the remainder when 164 is divided by o. 3 Let k = -69 + 90. Let m(n) = -2*n**2 + 4*n + 1. Let x be m(3). Calculate the remainder when (-303)/x - (-6)/15 is divided by k. 19 Let l = 341 - 295. Calculate the remainder when 228 is divided by l. 44 Suppose 193*h = 5*o + 197*h - 170, 2*h - 142 = -4*o. What is the remainder when 70 is divided by o? 32 Let f = -392 - -425. Calculate the remainder when 329 is divided by f. 32 Let b(u) be the first derivative of -u**2 - 12*u + 12. What is the remainder when 4/1*(-46)/(-8) is divided by b(-9)? 5 Let i(h) = -2*h**3 - 5*h**2 + 3*h + 7. Suppose -52 = 4*l - j + 48, 5*l + j + 125 = 0. Let k = l - -55. Calculate the remainder when i(-5) is divided by k. 27 Let d(q) = 24 - 3*q + 6*q + 0*q**3 - 26 + 17*q**3. What is the remainder when 470/9 - 2/9 is divided by d(1)? 16 Calculate the remainder when (6 - -13)/((-2)/(-8)) is divided by (-104)/(-10)*15/6. 24 Let t = 21 + -9. Let i = -141 - -186. Calculate the remainder when i is divided by t. 9 Calculate the remainder when 362 is divided by (4 - 1) + -8 - 381/(-3). 118 Let h(t) be the second derivative of t**5/20 - t**4/6 - 4*t**3/3 + 3*t**2 - 4*t. What is the remainder when h(5) is divided by 21? 20 Let b = 242 - -101. What is the remainder when b is divided by 23? 21 Let x(v) = 6*v - 22. Let f be x(18). Let w = 162 - f. Calculate the remainder when w is divided by 26. 24 Let j(v) be the second derivative of v**5/10 - 3*v**3/2 + 9*v**2/2 - 32*v. Calculate the remainder when 287 is divided by j(3). 35 Suppose 0 = -2*q + 23 - 7. Let d = q - -23. What is the remainder when d is divided by 8? 7 What is the remainder when -2 + 214 + -2 - (-7 - -4) is divided by 54? 51 Let z(t) = -t**3 + t**2 - t + 35. Suppose -3*x + 15 = -j, -x + 5 = 2*j + 2*j. What is the remainder when z(j) is divided by 12? 11 Let o = 0 - 0. Let i = o - -4. Suppose 0 = 5*v - r - 46, 2*v - 17 = i*r - 5*r. Calculate the remainder when 26 is divided by v. 8 Let u(s) = -10*s**2 + 13*s - 5 + 2 + s**3 - 4. Suppose 5*o + 21 = 2*f + 74, 0 = 3*o + 3*f - 15. Calculate the remainder when u(o) is divided by 15. 14 Let n = -1 - -7. Suppose 24*f - 15 = 19*f. Suppose 2*a - 45 = -a + 3*x, f*a = -4*x + 52. Calculate the remainder when a is divided by n. 4 Let a(i) be the first derivative of -i**4/4 + 11*i**3/3 + i**2/2 + 38*i + 33. Calculate the remainder when 96 is divided by a(11). 47 Suppose 0 = -10*r + 3*r - 21. Let o(s) = -3*s**3 + s**2 + 2*s + 7. Let p be o(r). Suppose -4*k + 69 = -p. Calculate the remainder when k is divided by 21. 19 Let s(f) = -12*f - 4. Let y be s(-2). Suppose -15 - y = -3*c + 5*d, 2*c - 17 = -3*d. Calculate the remainder when 36 is divided by c. 6 Let j(t) = 13*t - 6. Let m = -7 - -11. Let l(p) = p**3 - 16*p**2 + 14*p + 27. Calculate the remainder when j(m) is divided by l(15). 10 Let d
{ "pile_set_name": "DM Mathematics" }
-2)/7 + 4/(-35). Suppose 4*k + 3 = 27. Suppose -k = 3*l + f, -4*l - 3*f - 10 = -f. Do l and c have the same value? False Let o = 0.03 + -0.01. Let p = o + 1.98. Are p and 1/2 equal? False Let a be (-16)/3 - (-1)/3. Let p = 2 + a. Let r be p/(-10)*(-15)/18. Is 1 greater than r? True Let s(f) = 6*f. Let m be s(-1). Let z = m + 9. Suppose z*r + v - 20 = 0, 4*r - 5*v = 6 + 8. Which is smaller: 5 or r? 5 Let y = -0.3 + 1.3. Let t(r) = 2*r + 0 - 3 - 3*r. Let z be t(-4). Are z and y unequal? False Let y = -4773/2660 - 3/532. Is -1 at most as big as y? False Suppose 0*a = -3*a - 33. Is -12 at most a? True Suppose 3*g - 4*h = 256, -3*h + 204 = 2*g + h. Is g smaller than 91? False Let a = -35 + 31. Which is smaller: a or -6? -6 Let c = -57/8 + 179/24. Suppose 0 = l + 2*l. Which is bigger: c or l? c Let n = -5 + 15. Let u be n/8*(-4)/(-6). Which is bigger: u or 0? u Suppose -6*y + 3*y - 21 = 0. Let i(q) = q**3 + 7*q**2 + q + 7. Let w be i(y). Which is bigger: -0.1 or w? w Let y be ((-54)/(-105))/(60/56). Which is bigger: y or -1? y Let q = 0.016 + 5.084. Let w = q - 5. Which is bigger: w or 0.02? w Suppose 0 = -d + 4*d - 552. Let b = d - 2030/11. Which is smaller: b or -1? -1 Let j(w) = -w**3 + 6*w**2 - w - 2. Let y be j(6). Let n = 11 + y. Which is bigger: 2 or n? n Suppose 13*u - 2*u = -11. Is -2/5 not equal to u? True Let z be 6/70 - (-4)/(-14). Suppose -2*y = 2 - 0. Do z and y have different values? True Suppose -22 = -5*m - 2. Let c = 3 - m. Let b(q) = q**2 + 5*q + 2. Let h be b(-5). Are h and c non-equal? True Let v = 6 - 2. Let g = -5 - 0. Let o = g + v. Is -1 >= o? True Suppose 5*o + 0 = -3*w - 27, -o - 5*w = 23. Which is smaller: 19 or o? o Let o(l) = l**2 - 12*l + 37. Let k be o(7). Let i(y) = y + 5. Let m be i(0). Which is smaller: m or k? k Let p = 2.5 + -1.5. Which is smaller: 1/4 or p? 1/4 Let h be (-88 + 2)*2 - 3/1. Which is smaller: h or -174? h Suppose s = -4*i - 17, 3*i + 5*s = 4*i + 20. Let m = -6 - i. Let u be (-3)/(-21)*(-2 + 5). Which is greater: u or m? u Let t(b) = 2*b - 9. Let n be t(4). Which is greater: -7/4 or n? n Suppose x - 4 = -x. Suppose 5*n = m + 25, -n = 2*m - x*n + 5. Let i = -20 - -41/2. Which is greater: m or i? i Let b = 8.89 - 9. Let m = 0.01 + b. Is 2 at most m? False Suppose w + 17 = -4*i, -3*w = -4*i + i - 9. Is -4/5 < w? False Let m = -289 + 289. Suppose a - 5*a = 36. Is m less than a? False Let d(t) = -t**2 + 5. Let c be d(0). Suppose -11 = -c*n - 1. Which is smaller: -1 or n? -1 Let w = 17 - 19. Which is greater: 4 or w? 4 Let f = -2 - -4. Let m be (-4)/7*f/(-4). Let g = m - -3/14. Which is smaller: 1 or g? g Let u = -3 - -6. Suppose 2*g + 3*g = 0, 0 = -2*p + u*g + 2. Let b be ((-8)/14)/(8/(-28)). Which is smaller: b or p? p Suppose -v + 3*q + 11 = 0, -2*v + q = -4*v + 1. Suppose 5*j - 4 = t, -v*j = t + 2*t - 5. Let m be (2/4)/((-3)/(-18)). Is t <= m? True Let g(h) = h**2 + 2*h + 66. Let t be g(0). Are t and 67 equal? False Suppose 12 = -4*f - 5*r - 9, 4*f + 2*r + 6 = 0. Which is bigger: f or 1/53? f Let i(z) = -6*z**2 - 3*z + 3. Let g be i(-4). Let h be (-57)/g*3 + -2. Which is smaller: 0 or h? 0 Let l = -13 + 29. Suppose 0*p + 5*i - l = -4*p, 10 = 2*p + 3*i. Which is smaller: p or 3/7? p Suppose 0 = -n - 2*n - 3. Are -1/2 and n equal? False Suppose -2*w - 333 = 365. Let q = w + 2437/7. Which is greater: -1 or q? q Let k = 2 - 6. Let u be (-1)/k - (-5)/(-10). Let o be 1*2 + 24/(-15). Is u > o? False Let x be (-7)/21 - 4/6. Which is bigger: -4/11 or x? -4/11 Suppose -2*l = -3*d + l + 6, -10 = 2*d + 5*l. Let p = -10 - -16. Suppose 0 = 2*w - k, -2*w + 2*k - p*k = 0. Are d and w non-equal? False Suppose -2*p + 5*z = 0, -2*p + 3*z = 2*p - 14. Let c be ((-2)/8)/(p/(-20)). Is -2/9 at most as big as c? True Let r = 9 - 6. Let d = r + -4. Is d != -1? False Let b = 290 - 291. Let c = -4 - -4.3. Is b > c? False Let b = -625/2 - -233129/746. Which is greater: b or 0? b Let v(q) = -2*q**2 + 1. Let c be v(-1). Let u be (-94)/4 - (-3)/(-6). Let x be u/14 + -3 + 5. Is x at least as big as c? True Let t = 2/5 + -11/15. Let w(l) = -6*l + 4. Let z(p) = -p + 1. Let y(f) = w(f) - 4*z(f). Let a be y(-1). Which is smaller: t or a? t Suppose 6*c + 25 = 11*c. Let h(v) = -v**3 + 4*v**2 + 5*v + 7. Let g be h(c). Which is greater: 8 or g? 8 Suppose 4*g - 4 = 20. Let n be 2/(-6) + (-28)/g. Which is bigger: -2 or n? -2 Let o(i) = 1 + 0 - 2*i + 4*i. Let c be o(4). Let l = 8 - c. Are 3 and l non-equal? True Let q = -129.1 + 123. Let l = 6 + q. Which is bigger: l or 10? 10 Suppose -6 = -3*j + 3. Let n be 4/j*(-45)/10. Let d be (n/4 - -1)*-2. Which is greater: d or 1/3? d Suppose 0 = 3*m - 2*m - 3. Suppose -3*b - m*x + 3 = -7*x, b - 1 = -4*x. Suppose -k + 9 = -4*g, 5*k = -4*g + 2 - 5. Is g less than or equal to b? True Let h = 0.02 - -0.08. Which is bigger: 0.2 or h? 0.2 Suppose 9*r - 16 = r. Is 14/11 < r? True Let v = -55 + 219/4. Let p = -0.3 - 0.7. Is v less than p? False Suppose 0 = -3*o - 1 + 16. Suppose -o*x + 13 + 17 = 0. Which is greater: 11/2 or x? x Suppose -3*p - 696 = 9*p. Which is smaller: -59 or p? -59 Let l = -154 + 77. Does -78 = l? False Let k = -225 - -347. Let u be ((-4)/(-6))/((-6)/(-1096)). Let t = k - u. Which is bigger: t or 0? t Let v be 1/(-7) - (-153)/1512. Let l = -9 - -9. Which is smaller: v or l? v Let c = -1111/790 - -1/158. Are c and -1 nonequal? True Let k = 0 - 0. Suppose k = -2*z - 2. Let f = -4 - -38/9. Are f and z nonequal? True Let g(d) = -d**3 - 4*d**2 - 3*d - 2. Let y be g(-3). Let q be (6/14)/(2/y). Let m(u) = 3*u + 38. Let b be m(-13). Are q and b non-equal? True Let q = 7 + -11. Let v = -0.57 + 0.67. Which is greater: v or q? v Let o = -528 + 44351/84. Which is smaller: o or -1? -1 Suppose -7*f + 3*f = 16, -4*h + 2*f = -32. Suppose -h*a = -4*a - 6. Let s be 2/8*(a - 1). Which is bigger: s or -0.1? s Let g = 30 - 61/2. Which is greater: g or -2/3? g Let h = -8 - -26. Suppose 3*c + 0 = h. Are c and 5 nonequal? True Let u(a) = -6 + 4 + 4*a - a**2 + 5. Let o be u(5). Is o at most as big as -3? False Let g = 101/35 + -13/5. Let o = -80 + 71.7. Let q = o - -8. Which is smaller: g or q? q Let c = 127 - 75. Let r be ((-2)/c)/(9/12). Let q = r - -5/13. Is 0.01 greater than or equal to q? False Let m = -13/423 - 9/47. Suppose 2*k + 6 = -k. Let s = k - -1. Is m <= s? False Suppose 4*y - 2 = 5*n - 0, 2*y + 12 = -4*n. Is y at most as big as 0? True Let s = -18 + 14. Which is smaller: -5 or s? -5 Suppose -2*i - 2*x + 8 = 0, 3*i + 0*x + x - 14 = 0. Which is greater: 8 or i? 8 Suppose 2*j + 19 = -3*k, k + 23 = -2*j - 2*j. Let i = k + 4. Is 0 >= i? False Suppose 0 = j - 6*j. Suppose 0*s + 5 = -5*s + 3*i, 5*i - 25 = j. Suppose 2*h = -s*h + 4. Is 0 <= h? True Suppose 5 = -3*p + 20. Suppose -6*h + p = -h. Is h greater than -4? True Let h = 5 - 4. Which is smaller: h or 1/9? 1/9 Let t = 0 + -2. Let b = -3 - t. Is b < -3? False Let q be 3 + (0 + -2)*(-1)/(-2). Let v be (-6)/(-9) + (-4)/42. Is q >= v? True Let v = 1 - 1. Let a = -6 - -5.7. Let l = a + v. Is l <= 0? True Let v(h) = 5*h**2 - 29*h + 3. Let w be v(6). Which is bigger: w or 10? 10 Let p = -3 + 1. Let g = -22 - -24. Let f = p + g. Do 5 and f have the same value? False Let s = -1.3 + 0.3. Let c be 1 + 2 + 1 + -2. Suppose c + 1 = v. Are v and s unequal? True Let q(g) = -g. Let d(m) = -7*m + 1. Let w be d(-1). Suppose -u - u = w. Let h be q(u). Is 5 less than h? False Let j be 4/(-6)*(-2 - -5). Let c(y) = -y - 8. Let g be 4/14 - (-51)/(-7). Let r be c(g). Which is smaller: j or r? j Let a = 8 + -9. Is -2 bigger than a? False Let y be (-50)/5*2/4. Let x(d) = d + 5. Let l be x(y). Which is smaller: -2/43 or l? -2/43 Suppose 2*l - 8 = -0*l + 4*y, -5*l + 4*y = -8. Is -3/10 at least as big as l? False Suppose -r + 0 = -5. Suppose -r*p - 2 = -4*p. Which is bigger: 0 or p? 0 Let f = -46 - -21. Let y = f + 11. Is -15 > y? False Suppose w - 52 = 5*w. Is w at most 0? True Let w = 3.8 + -4. Is 0.1 bigger than w? True Let u = 182 + -182.8. Is -4 < u? True Let c be (-3)/(-5) + (-48)/30. Let a = -7.7 - -4.8. Let o = a - -3. Which is smaller: o or c? c Let g = -0.07 + 1.07. Is 2.4 smaller than g? False Suppose -n - 4*n - 80 = 0. Is n > -16? False Let t(r) = -r + 12. Suppose -3*y = -0*y - 3*j - 27, -5*j - 12 = -2*y. Suppose 2*l - 31 + y = 0. Let b be t(l). Is b at most as big
{ "pile_set_name": "DM Mathematics" }
Let x = -3282.98 + 3379. Let v = 98 - x. Let o = v + 0.02. Which is the smallest value? (a) -2 (b) o (c) 3 a Let u be (-22)/(-70) - 40/(-140). Let x = -3 - 0. Let i = -0.07 - -5.07. Which is the third smallest value? (a) i (b) u (c) x a Let f = 27 - 1. Let j = -23 + f. What is the fourth biggest value in 0.4, j, 1, 0.1? 0.1 Let h = -2.96 + 2.94. What is the third smallest value in h, -0.4, 3? 3 Let f = -1088 + 1087.9. Which is the fourth smallest value? (a) 0.4 (b) f (c) 2.3 (d) 0.03 c Let y = -174 - -4349/25. Let n = 0.02 - 1.02. What is the third smallest value in 3, y, n? 3 Let k be (-3)/(-9) - 44/(-12). Let f be ((-1)/4)/(0 + (-3)/k). What is the third smallest value in 1, f, -0.5? 1 Let x = 2.17 + -0.17. Let y(f) = f**2 - 2*f**3 + 3*f**3 + 8*f - f**2 + 9*f**2. Let s be y(-8). Which is the third biggest value? (a) s (b) x (c) -0.2 c Suppose 4*j + 429 - 425 = 0. Which is the smallest value? (a) j (b) -5 (c) -0.61 b Let r = -1/15 + 11/15. Let g = -9 - -8.4. What is the smallest value in -3, g, r, -1/4? -3 Let l = 56 + -94. Let c = -38.4 - l. What is the second smallest value in -5, c, 0.4? c Let q = -1852/2607 + -4/237. Let s = 11.7 - 11.5. Which is the second biggest value? (a) q (b) 1/3 (c) s c Let r = 3.66 + -8.66. What is the third biggest value in 130, -2, r? r Let f = 383 - 369. Let u be (-4 - -2) + 9/5. Which is the smallest value? (a) u (b) 1 (c) f a Let q = 0.15 - -0.15. Which is the fourth biggest value? (a) -1/7 (b) -1.8 (c) -5 (d) q c Let p = 723.37 + -712. Let d = 11 - p. Let k = 0.27 + d. Which is the smallest value? (a) 0.3 (b) 2 (c) k c Let t = 135 + -140. Let v = -0.4 + 0.3. What is the smallest value in t, v, -3/5? t Let i = 0.09 - -18.91. Let h = -21 + i. Let q = -0.2 - 0. What is the second smallest value in h, 4, q? q Let i = 0.9 - 0.5. Let w be 2/2 + (-2085)/420. Let s = -33/7 - w. Which is the second smallest value? (a) -0.4 (b) s (c) i a Let k = 0.48 + -0.08. Let x = 0 - k. Let n = 38.6 + -38. What is the third smallest value in n, 2/7, x? n Suppose 0 = 3*u + 2*u - 15, -5*u - 5 = 4*f. Which is the third smallest value? (a) 5 (b) 3 (c) f a Let k(d) = 3*d**2 - 5*d - 6. Let i be k(-1). Let p be i/6*(1 - 15/9). Which is the third smallest value? (a) -4 (b) p (c) -2 b Let s = 305.92 + -306. What is the second smallest value in 2/3, -1/7, s? s Let t be 46/(-90) - 3/(-108)*4. What is the fourth smallest value in -3/5, 8, -2/9, t? 8 Let o = -78 - -76. What is the third biggest value in 4/3, 16, o? o Let r be (-1)/((-1 + -2)*1). Let q = 8 + -20. Let t = -11.6 - q. What is the second biggest value in r, 3, t? t Let h = -0.21 - -5.21. What is the second smallest value in h, -1/2, 2? 2 Let b = -50.126 - -50. Let q = b - 0.074. Let t = 2.05 + -0.05. What is the biggest value in q, 2/9, t? t Let w = -0.481 + 0.45. Let h = -0.169 + w. Which is the third smallest value? (a) 0.3 (b) h (c) 5 c Let o = -0.486 - 0.014. Let m = -0.97 - 0.03. Let f = 1.4 + m. What is the third biggest value in o, f, -1.1? -1.1 Let z = 2940 - 2940.6. Let q = 234 - 2108/9. Which is the second biggest value? (a) 1/2 (b) q (c) z b Suppose -7*j = -6*j - 55. Suppose j*p = 51*p + 108. Which is the second biggest value? (a) 1/3 (b) p (c) 2 c Let m = -4.709 + -0.091. Let k = 7.8 + m. Which is the third smallest value? (a) k (b) -2 (c) -1.9 a Let t be 6 + -14 + (7 - 1) - -10. Which is the second biggest value? (a) -2 (b) t (c) 0.09 c Let h = -30/23 - -143/92. Which is the second biggest value? (a) 5 (b) h (c) 0.2 (d) -2/7 b Let c = -0.45 + 38.45. Let o = c + -49. What is the biggest value in -1, 3, o, -0.2? 3 Let f be (3/18)/(10/(-45)). Let r = -1 + 0.7. What is the second biggest value in -0.2, f, r, -3? r Suppose 75*o - 70*o = 2*z - 40, 0 = o + 2*z - 4. Let p be (-2)/6*(-3)/2. What is the smallest value in -2/9, o, p? o Let i = 658 + -660. Which is the third biggest value? (a) 4 (b) i (c) 55 (d) 5 a Let d be ((-32)/(-28))/(50/(-35)). What is the second smallest value in 0, 72, d? 0 Let z be -1 - ((-72)/20)/3. Let u = -20.1 - -20. Which is the second biggest value? (a) z (b) u (c) -2/15 b Let k = 0.2 + -0.3. Let o = -279/292 - -15/73. What is the second smallest value in k, o, -0.3? -0.3 Let s = 4818 + -4818. Let m = 4/51 - 91/510. Which is the third biggest value? (a) m (b) 0.5 (c) 2/11 (d) s d Let q = 1574.9 - 1575. Let m = 1 + -2. What is the smallest value in -4, m, q, 0.05? -4 Let z = 640 - 639. Which is the biggest value? (a) z (b) 17 (c) -0.4 b Let p be ((-12)/18)/(1/(-6)). Suppose p*q - 8 = 6*q. Let g = -8 - -12. Which is the smallest value? (a) -3/7 (b) q (c) g b Let s = -4153419/185 + 22451. Let g = -1/74 - s. Which is the second biggest value? (a) g (b) 0.4 (c) 0 c Let x = -2.1 + 2. Let y = -718 - -5022/7. What is the smallest value in y, x, 1? y Let t = 22.7 - 22.5. Which is the biggest value? (a) 6/5 (b) t (c) 0.3 (d) -2 a Let h = 4.1 + 0.9. Suppose z - 4*p - 5 = -5*p, -p - 1 = -2*z. Let s(f) = f**2 - 5*f + 5. Let w be s(z). Which is the third biggest value? (a) 2 (b) h (c) w c Let k = 4 - 4. Which is the third smallest value? (a) k (b) 6/7 (c) -5 (d) -14 a Suppose 5*i - 17 = 3*x, 2*x + 11 = -2*i + 5*i. Let q be (1/(-1 - -4))/((-1)/i). Which is the second smallest value? (a) q (b) 5 (c) -3/4 (d) -1 c Let f be (-3)/3*(20/45)/2. What is the second smallest value in f, -3, 4, 0.5? f Let f = -26.04 - -27.84. What is the biggest value in 2, f, -4.5? 2 Let d be 106*(-1)/(-72) - 85/68. What is the second smallest value in 0.4, 0.2, -0.3, d? 0.2 Let p = 24.2292 - 0.0692. Let c = -24 + p. Let l = 0.24 + c. What is the second biggest value in -0.3, l, 6? l Let w = -89 + 99.5. Let t = w + -10.1. Which is the biggest value? (a) -4 (b) 0.3 (c) -1 (d) t d Let z = -130 + 1297/10. Let d be (-46)/(-22) + 8/(-4). Which is the smallest value? (a) z (b) d (c) -2 c Let y = -1.9 - -2. Let k be ((-1)/(-11))/((-250)/(-550)). Let s = 0.1 - -0.9. Which is the second biggest value? (a) y (b) k (c) s b Let h = 169/60 - 41/12. Let z = 0 - 4. Which is the second smallest value? (a) h (b) z (c) -0.06 (d) -2/11 a Let j be (100/(-30))/(2/(-27)). Let s = -42 + j. Which is the smallest value? (a) 2/37 (b) s (c) 5 a Let t be 46/(-8) - (-4)/(-16). Let p be ((-4)/t)/(28/(-6)). Let z = 3 + -5. Which is the third biggest value? (a) 0 (b) z (c) p b Let j be (-15)/18 + (-34)/12 + 3. What is the fourth smallest value in -0.05, 3, j, -0.1? 3 Let p = 0.4 - 0. Let l = -0.29 - -0.19. Let j = 0.025 - 2.025. Which is the third smallest value? (a) l (b) p (c) j b Let t = 0.27 + 11.73. Let l = t + -11. Suppose 20 = -j + 23. Which is the second smallest value? (a) l (b) j (c) 5 b Let w = 0.1 + 0. Let n = 31 - 23. Suppose -2*t + 4 - n = 0. What is the second biggest value in w, 0.2, t? w Let d = 152 - 154.05. Let f = -0.05 + 0. Let t = f - d. Which is the second biggest value? (a) -0.5 (b) t (c) -5 a Let h = -0.1531 - -0.3531. Suppose -1 = 5*q - 21. What is the fourth biggest value in h, q, -0.1, 0.5? -0.1 Suppose 3*p - 3*i + 176 = 2*p, 4*p + 4*i = -736. Let g = p - -101. Let a be 1 + -5 - 306/g. What is the smallest value in a, 2/7, 3? a Suppose 5*k + 3*f - 8 = 12, 4*k = 3*f + 16. Suppose -5*o + 1 + 2 = -k*n, 4*o - 3 = 3*n. Let p = 68 + -205/3. Which is the smallest value? (a) -3 (b) p (c) o a Let h = 10.1 + -9.7. Let j(k) = -3*k**3 - k**2 + 2*k - 1. Suppose -i + 5*m = 4*i, 0 = 3*i + 5*m - 8. Let w be j(i). What is the biggest value in w, 0, h? h Let m = -3.9 + -0.1. Let p = 0.53 + -56.53. Let z = p - -53. What is the second biggest value in m, z, 4? z Let r(i) = -i**3 + 5*i**2 - 3*i + 20. Let o be r(7). Let h be (3/4)/(o/24). What is the biggest value in -1/8, -2/51, h? -2/51 Suppose -14*t = -37*t. Which is the biggest value? (a) 0.2 (b) -2/67 (c) t a Let w = -992 - -1017. What is the third smallest value in 2/3, w, 2, -4? 2 Let l be 2/(-4) + 261/18. Let f be 3/l*(-52)/(-39). Let m = 1 - 0.7. Which is the third biggest value? (a) -1 (b) f (c) m a Let h be 4 + ((-4)/(-20))/((-1)/19). What is the second smallest value in -0.1, -30, h? -0.1 Suppose 9 = 2*d + d. Suppose -4*j + 8 = j + q, d*q = 4*j + 5. Let w = -9/4 + 2. Which is the third biggest value? (a) j (b) 5 (c) w
{ "pile_set_name": "DM Mathematics" }
t integer? 4 What is the third root of 17356 to the nearest integer? 26 What is 96 to the power of 1/4, to the nearest integer? 3 What is the eighth root of 10833 to the nearest integer? 3 What is 1211 to the power of 1/3, to the nearest integer? 11 What is 850 to the power of 1/3, to the nearest integer? 9 What is the eighth root of 7790 to the nearest integer? 3 What is the third root of 508 to the nearest integer? 8 What is 42628 to the power of 1/9, to the nearest integer? 3 What is 774 to the power of 1/3, to the nearest integer? 9 What is the third root of 124213 to the nearest integer? 50 What is the sixth root of 3916 to the nearest integer? 4 What is the third root of 2672 to the nearest integer? 14 What is 21669 to the power of 1/3, to the nearest integer? 28 What is 11190 to the power of 1/9, to the nearest integer? 3 What is 29670 to the power of 1/3, to the nearest integer? 31 What is the eighth root of 60672 to the nearest integer? 4 What is the cube root of 23814 to the nearest integer? 29 What is 1624 to the power of 1/3, to the nearest integer? 12 What is the seventh root of 55446 to the nearest integer? 5 What is the fifth root of 1168 to the nearest integer? 4 What is 117727 to the power of 1/2, to the nearest integer? 343 What is the fifth root of 16035 to the nearest integer? 7 What is the square root of 13650 to the nearest integer? 117 What is the third root of 10842 to the nearest integer? 22 What is 79 to the power of 1/2, to the nearest integer? 9 What is 30470 to the power of 1/7, to the nearest integer? 4 What is 13323 to the power of 1/2, to the nearest integer? 115 What is the fifth root of 505 to the nearest integer? 3 What is the cube root of 270 to the nearest integer? 6 What is the third root of 54883 to the nearest integer? 38 What is the square root of 4092 to the nearest integer? 64 What is the tenth root of 17733 to the nearest integer? 3 What is 4031 to the power of 1/3, to the nearest integer? 16 What is the fifth root of 11969 to the nearest integer? 7 What is 413 to the power of 1/7, to the nearest integer? 2 What is the square root of 820 to the nearest integer? 29 What is 4726 to the power of 1/3, to the nearest integer? 17 What is the seventh root of 3659 to the nearest integer? 3 What is the square root of 1285 to the nearest integer? 36 What is 23744 to the power of 1/8, to the nearest integer? 4 What is 14733 to the power of 1/2, to the nearest integer? 121 What is 7713 to the power of 1/8, to the nearest integer? 3 What is the third root of 4104 to the nearest integer? 16 What is the square root of 16523 to the nearest integer? 129 What is the square root of 181154 to the nearest integer? 426 What is 96750 to the power of 1/3, to the nearest integer? 46 What is the square root of 3396 to the nearest integer? 58 What is the tenth root of 905 to the nearest integer? 2 What is 55862 to the power of 1/8, to the nearest integer? 4 What is 961 to the power of 1/2, to the nearest integer? 31 What is the square root of 4005 to the nearest integer? 63 What is the sixth root of 22891 to the nearest integer? 5 What is the fourth root of 3027 to the nearest integer? 7 What is the cube root of 36927 to the nearest integer? 33 What is 3999 to the power of 1/2, to the nearest integer? 63 What is 31722 to the power of 1/3, to the nearest integer? 32 What is the square root of 79374 to the nearest integer? 282 What is 8170 to the power of 1/6, to the nearest integer? 4 What is the third root of 60416 to the nearest integer? 39 What is 1258 to the power of 1/2, to the nearest integer? 35 What is the seventh root of 7081 to the nearest integer? 4 What is the tenth root of 25875 to the nearest integer? 3 What is 526 to the power of 1/8, to the nearest integer? 2 What is 722 to the power of 1/6, to the nearest integer? 3 What is the cube root of 628 to the nearest integer? 9 What is 1898 to the power of 1/9, to the nearest integer? 2 What is 74 to the power of 1/9, to the nearest integer? 2 What is the square root of 19866 to the nearest integer? 141 What is 1006 to the power of 1/4, to the nearest integer? 6 What is the tenth root of 83 to the nearest integer? 2 What is the eighth root of 252 to the nearest integer? 2 What is the square root of 3630 to the nearest integer? 60 What is the square root of 13205 to the nearest integer? 115 What is the third root of 55994 to the nearest integer? 38 What is the eighth root of 11985 to the nearest integer? 3 What is 1020 to the power of 1/2, to the nearest integer? 32 What is 1677 to the power of 1/3, to the nearest integer? 12 What is 84947 to the power of 1/3, to the nearest integer? 44 What is 11334 to the power of 1/3, to the nearest integer? 22 What is 5190 to the power of 1/3, to the nearest integer? 17 What is 52004 to the power of 1/3, to the nearest integer? 37 What is 64840 to the power of 1/6, to the nearest integer? 6 What is the third root of 4862 to the nearest integer? 17 What is 4300 to the power of 1/5, to the nearest integer? 5 What is the square root of 1039 to the nearest integer? 32 What is 39396 to the power of 1/2, to the nearest integer? 198 What is 8197 to the power of 1/7, to the nearest integer? 4 What is the fourth root of 67849 to the nearest integer? 16 What is the tenth root of 5786 to the nearest integer? 2 What is the sixth root of 10318 to the nearest integer? 5 What is the third root of 1175 to the nearest integer? 11 What is 114158 to the power of 1/3, to the nearest integer? 49 What is 7412 to the power of 1/2, to the nearest integer? 86 What is the third root of 2080 to the nearest integer? 13 What is the third root of 1755 to the nearest integer? 12 What is 7495 to the power of 1/4, to the nearest integer? 9 What is the third root of 1234 to the nearest integer? 11 What is 95396 to the power of 1/2, to the nearest integer? 309 What is the eighth root of 38568 to the nearest integer? 4 What is the cube root of 7183 to the nearest integer? 19 What is the square root of 19751 to the nearest integer? 141 What is 38314 to the power of 1/3, to the nearest integer? 34 What is 887 to the power of 1/3, to the nearest integer? 10 What is the tenth root of 2388 to the nearest integer? 2 What is the third root of 4061 to the nearest integer? 16 What is the third root of 309 to the nearest integer? 7 What is 539 to the power of 1/5, to the nearest integer? 4 What is the fifth root of 36205 to the nearest integer? 8 What is the sixth root of 102148 to the nearest integer? 7 What is the third root of 47372 to the nearest integer? 36 What is 8975 to the power of 1/5, to the nearest integer? 6 What is 51415 to the power of 1/3, to the nearest integer? 37 What is 15338 to the power of 1/3, to the nearest integer? 25 What is 3762 to the power of 1/3, to the nearest integer? 16 What is the cube root of 3541 to the nearest integer? 15 What is 2347 to the power of 1/3, to the nearest integer? 13 What is 697 to the power of 1/3, to the nearest integer? 9 What is the tenth root of 623 to the nearest integer? 2 What is 2467 to the power of 1/3, to the nearest integer? 14 What is the ninth root of 67915 to the nearest integer? 3 What is the square root of 100984 to the nearest integer? 318 What is the seventh root of 124792 to the nearest integer? 5 What is the eighth root of 22189 to the nearest integer? 3 What is the ninth root of 7249 to the nearest integer? 3 What is 57633 to the power of 1/7, to the nearest integer? 5 What is 2801 to the power of 1/6, to the nearest integer? 4 What is the square root of 1319 to the nearest integer? 36 What is 111579 to the power of 1/3, to the nearest integer? 48 What is the fifth root of 26242 to the nearest integer? 8 What is 4569 to the power of 1/7, to the nearest integer? 3 What is 1856 to the power of 1/2, to the nearest integer? 43 What is 1184 to the power of 1/10, to the nearest integer? 2 What is the square root of 29896 to the nearest integer? 173 What is 20962 to the power of 1/3, to the nearest integer? 28 What is the square root of 97727 to the nearest integer? 313 What is 4962 to the power of 1/3, to the nearest integer? 17 What is 4730 to the power of 1/9, to the nearest integer? 3 What is the sevent
{ "pile_set_name": "DM Mathematics" }
sequence fefm when four letters picked without replacement from ffmemfxefee. 2/165 What is prob of sequence ss when two letters picked without replacement from sbbzqibqsjbzsbqzbbb? 1/57 What is prob of sequence hh when two letters picked without replacement from uhjxxhhxhcx? 6/55 Three letters picked without replacement from xxuxuqqq. Give prob of sequence uqu. 1/56 Calculate prob of sequence zz when two letters picked without replacement from {z: 2, r: 1, n: 1}. 1/6 Two letters picked without replacement from ooooqeoonqwqnqo. Give prob of sequence nn. 1/105 Calculate prob of sequence qqe when three letters picked without replacement from {e: 10, q: 3, k: 4, n: 2}. 10/969 Calculate prob of sequence fffa when four letters picked without replacement from hhahhqfqllhffhfqhhqp. 1/4845 Calculate prob of sequence qqee when four letters picked without replacement from {q: 2, e: 3}. 1/10 What is prob of sequence ym when two letters picked without replacement from {y: 4, m: 7}? 14/55 Three letters picked without replacement from {h: 5, b: 3, w: 3, n: 1}. What is prob of sequence wbh? 3/88 Four letters picked without replacement from xyadooay. Give prob of sequence doxa. 1/420 Calculate prob of sequence kka when three letters picked without replacement from {p: 3, h: 1, k: 2, a: 1}. 1/105 Four letters picked without replacement from {l: 2, j: 12, q: 5}. Give prob of sequence qjjl. 55/3876 What is prob of sequence cz when two letters picked without replacement from ctztc? 1/10 Three letters picked without replacement from nnjcnnnjnnnc. Give prob of sequence jcj. 1/330 What is prob of sequence vsve when four letters picked without replacement from {k: 1, e: 3, j: 7, v: 2, s: 5}? 1/2448 What is prob of sequence nn when two letters picked without replacement from {m: 1, q: 12, n: 3}? 1/40 Four letters picked without replacement from {z: 4, y: 3}. What is prob of sequence zyzy? 3/35 Two letters picked without replacement from {l: 3, e: 4}. What is prob of sequence ee? 2/7 Two letters picked without replacement from {n: 1, c: 3, m: 1, p: 4, k: 6}. What is prob of sequence pk? 4/35 Two letters picked without replacement from {u: 2, q: 1, f: 1, j: 2, h: 1, t: 1}. Give prob of sequence tf. 1/56 What is prob of sequence uk when two letters picked without replacement from {a: 5, i: 2, n: 1, k: 1, u: 2, s: 4}? 1/105 What is prob of sequence iz when two letters picked without replacement from rrhririiriizihrrrzhi? 7/190 Four letters picked without replacement from htfuyryh. Give prob of sequence hfyh. 1/420 Calculate prob of sequence rm when two letters picked without replacement from rmttwwrtwtr. 3/110 What is prob of sequence yv when two letters picked without replacement from svvrvvvvyvvvsvssr? 5/136 Calculate prob of sequence all when three letters picked without replacement from alla. 1/6 What is prob of sequence ogof when four letters picked without replacement from {w: 1, e: 2, o: 8, g: 1, z: 1, f: 2}? 2/585 Three letters picked without replacement from rrrrruruur. Give prob of sequence ruu. 7/120 Three letters picked without replacement from iiiiiiiiiikikpiiiiki. Give prob of sequence iik. 2/19 Two letters picked without replacement from nvnnnnvnnnnnn. What is prob of sequence nn? 55/78 Calculate prob of sequence qqq when three letters picked without replacement from qqqqqqqsqsqsss. 3/13 Two letters picked without replacement from {j: 1, n: 4, h: 4, t: 1, p: 3}. Give prob of sequence ph. 1/13 Four letters picked without replacement from {u: 3, l: 8}. Give prob of sequence uuul. 1/165 Calculate prob of sequence pw when two letters picked without replacement from aygipayawaaawyg. 1/105 Three letters picked without replacement from czzccccc. What is prob of sequence ccz? 5/28 Calculate prob of sequence dy when two letters picked without replacement from yjgjgdndz. 1/36 Calculate prob of sequence cnm when three letters picked without replacement from {g: 1, v: 1, j: 1, n: 2, c: 1, m: 1}. 1/105 Two letters picked without replacement from hohrjhw. What is prob of sequence rw? 1/42 Three letters picked without replacement from {x: 3, h: 1, u: 3, q: 1, k: 2, v: 2}. Give prob of sequence vxq. 1/220 Three letters picked without replacement from {g: 3, f: 1, h: 1, z: 2, i: 4, q: 1}. What is prob of sequence hqz? 1/660 What is prob of sequence yyay when four letters picked without replacement from ayaaaayyaaaaaaaaay? 7/1530 Calculate prob of sequence ffsg when four letters picked without replacement from gsusssssfsfgssss. 11/10920 Two letters picked without replacement from {w: 2, x: 3, g: 3}. What is prob of sequence gx? 9/56 Calculate prob of sequence fuuf when four letters picked without replacement from nfffufnfnfufn. 7/1430 Calculate prob of sequence ggo when three letters picked without replacement from {a: 3, g: 4, h: 1, o: 1, c: 4, u: 6}. 2/969 Two letters picked without replacement from {y: 18, u: 1}. Give prob of sequence yy. 17/19 Four letters picked without replacement from caca. Give prob of sequence acac. 1/6 Four letters picked without replacement from {y: 9, m: 2}. Give prob of sequence yymy. 7/55 Two letters picked without replacement from {q: 1, e: 1, u: 1, h: 2}. Give prob of sequence qh. 1/10 Two letters picked without replacement from {r: 3, z: 2, s: 1, w: 2, d: 1, p: 3}. What is prob of sequence dp? 1/44 Three letters picked without replacement from omommmgmogmommggm. What is prob of sequence omg? 3/85 Four letters picked without replacement from {k: 2, p: 2, f: 5}. What is prob of sequence pkff? 5/189 Three letters picked without replacement from huhmauhcmumhummhhham. What is prob of sequence muu? 1/95 Two letters picked without replacement from {e: 7, v: 1}. Give prob of sequence ve. 1/8 Three letters picked without replacement from jjjjjjjjjjjddjdjjjjj. Give prob of sequence jjd. 34/285 What is prob of sequence uu when two letters picked without replacement from ddudxaudddud? 1/22 Calculate prob of sequence sp when two letters picked without replacement from sbpee. 1/20 Three letters picked without replacement from qhhhayhy. What is prob of sequence hah? 1/28 Four letters picked without replacement from {e: 3, t: 2, r: 7, h: 5}. Give prob of sequence rrer. 3/272 What is prob of sequence nnnq when four letters picked without replacement from {q: 15, n: 3}? 1/816 Calculate prob of sequence iw when two letters picked without replacement from {a: 1, z: 2, d: 1, m: 1, i: 2, w: 1}. 1/28 What is prob of sequence jjjj when four letters picked without replacement from {j: 17, r: 1}? 7/9 Calculate prob of sequence iox when three letters picked without replacement from iizxitziozxtxtzzott. 4/969 What is prob of sequence dlsa when four letters picked without replacement from lgggdgggdadggggsa? 1/9520 Calculate prob of sequence aq when two letters picked without replacement from aaaqqaaaqqqqaqqq. 21/80 Calculate prob of sequence pp when two letters picked without replacement from {o: 2, p: 6, a: 7}. 1/7 What is prob of sequence hc when two letters picked without replacement from hhc? 1/3 What is prob of sequence xxx when three letters picked without replacement from cxubbxtxuutxtxcbxxt? 35/969 Two letters picked without replacement from ttzthbzts. Give prob of sequence hb. 1/72 Three letters picked without replacement from lnnlwllwnh. What is prob of sequence lnn? 1/30 Calculate prob of sequence xvx when three letters picked without replacement from {x: 4, v: 2}. 1/5 Three letters picked without replacement from hlrprkuhhrrrhlk. Give prob of sequence ukh. 4/1365 Two letters picked without replacement from {k: 4, g: 1, d: 3}. What is prob of sequence dd? 3/28 Three letters picked without replacement from ssssqenqsuus. What is prob of sequence nse? 1/220 Two letters picked without replacement from {d: 1, v: 6, a: 2, r: 1, x: 10}. Give prob of sequence xr. 1/38 Calculate prob of sequence vqv when three letters picked without replacement from qyvbv. 1/30 What is prob of sequence zrzx when four letters picked without replacement from xxxqxrxzzxxxxx? 5/6006 Calculate prob of sequence cs when two letters picked without replacement from smmcbcr. 1/21 Three letters picked without replacement from {z: 3, f: 1}. Give prob of sequence zzz. 1/4 Calculate prob of se
{ "pile_set_name": "DM Mathematics" }
/10 + (-64)/(-10). Let k = -5 + i. Solve k = -n - 3 for n. -5 Let i be 2/((-34)/(-16) + -2). Suppose 4*y = -2*r + r - 57, 0 = y + 2*r + i. Let h be 4/(-12) - y/6. Solve 3*z = -h*z - 10 for z. -2 Let n(m) = 2*m**2 + 2*m - 2. Let t be n(1). Let k be 448/6 - 2/(-6). Suppose 5*v - k = 2*f, -v + 7 = 4*f - 8. Solve -5*l + v = -t*l for l. 5 Let c be 128/(-40)*10/(-4). Solve 3*z - z - c = 0 for z. 4 Suppose 5*p = -4*n + 2*n + 40, p - 3*n - 25 = 0. Suppose y - 9 = -2*y. Solve -2 = y*h + p for h. -4 Let n(w) = -w**2 + 5*w + 4. Let m be n(5). Solve -m*g + 5 = -3*g for g. 5 Let g = -6 - -10. Suppose -4*n - 3*m + 6 = 0, -n - 3*n - 5*m + 2 = 0. Let j = n + 1. Solve -j*d + g = -0 for d. 1 Let q(p) = p - 2. Let s be q(4). Solve 6 = s*u + 2 for u. 2 Suppose 4*c = 5*h + 6 + 1, -3*h = -3. Suppose -12 = -0*m - c*m. Suppose 0 = -2*k + 6*k. Solve k = -m*j + 14 - 2 for j. 3 Let v(p) = -p - 3. Suppose 2*a + 16 = -0. Let r = a + 5. Let j be v(r). Solve j*f = -2*f + 2 for f. 1 Suppose -10 = -2*k, -37 = -4*f - 5*k - 0*k. Solve u + f*u = 16 for u. 4 Let y(j) = -5*j**2 + 2*j**3 - 3*j**3 + 3 + 0*j**2 + 5 + 5*j. Let o be y(-6). Suppose -4*h + 5 = -h - f, 4*f - o = -5*h. Solve -h*g = -g for g. 0 Let b = -5 + 11. Solve i = -2*i - b for i. -2 Suppose 2*c - 4*c + 40 = 0. Solve -6*r = -r + c for r. -4 Let i(f) = -11*f**2 - 27*f + 36. Let z(q) = -7*q**2 - 18*q + 24. Let h(m) = -5*i(m) + 8*z(m). Let u be h(-10). Solve -u = -y - y for y. 1 Let m(h) be the third derivative of h**7/2520 - h**6/120 + h**5/20 + 3*h**2. Let j(r) be the third derivative of m(r). Let p be j(5). Solve p*c + 26 = 6 for c. -5 Let s = 70 + -45. Let q be s/5 + -2 + 0. Solve -15 = -q*u - 2*u for u. 3 Let i(b) = -b**2 + 4*b - 3. Let r be i(3). Let n be (-1 - -5)/(1 - 0). Solve 0 = -j - r + n for j. 4 Let g be 3 + (-4)/(-2) + -2. Let m be 0 + g + (-4 - -1). Solve m*d = -2*d for d. 0 Let b = -77 - -27. Let z be 20/b + 2/5. Suppose -3*l + 0*l = 6, 0 = 5*h - 5*l - 40. Solve z*r - h = -2*r for r. 3 Suppose -5*y = -h - h - 14, -2*y + 2 = -2*h. Suppose 4*u = h*u. Suppose -4*a + 78 = -2*o, -5*a - 2*o + 91 + 11 = 0. Solve -5*b + b + a = u for b. 5 Suppose -5*s = -3*u - 10*s - 4, -s = 5*u - 8. Suppose -h + 4*c - 6 = 0, -3*h + u + 14 = 5*c. Solve -h*b = -4 + 8 for b. -2 Suppose 2*b + 6 = 2*o, b - 2*b - 3 = 3*o. Solve -1 = -y - o for y. 1 Let p = -12 + 16. Suppose 4*y + 3*n = -7, 2*n = 7*n + 25. Solve 0 = -y*m + p*m - 10 for m. 5 Let o be 1 + 0/4 + -1. Solve -4*y + 2 + 10 = o for y. 3 Suppose -2*z = 2*s - 17 - 17, -3*z + 51 = 2*s. Let h = z + -17. Solve -5*u + 4*u = h for u. 0 Suppose 3*r + 12 = 3*a, 3*r + 6 = -a - r. Solve 1 = -a*q + 5 for q. 2 Let p = -13 - -25. Solve 5*c - c = -p for c. -3 Let h(n) = n**2 + 12*n - 30. Let f be h(-14). Let a be (-4)/(-14) + 24/14. Let l = a - f. Solve z = -z - l for z. -2 Let j = 41 - 41. Solve -v + j*v = 0 for v. 0 Let g(r) = -r**2 + 6*r. Let i be g(5). Suppose 0 = -i*t - 6 + 31. Solve 0 = t*b - 5 - 0 for b. 1 Let c = -26 - -29. Solve -5*o + c = 13 for o. -2 Suppose 8*w + 2*y = 5*w + 2, -4 = -4*y. Suppose -4*i - 13 = -3*o, -i - 3*i - 4 = 0. Solve w = -4*t + o*t + 4 for t. 4 Let s = 14 + 4. Suppose -g = g - s. Solve -6*f + g = -3*f for f. 3 Suppose -2*q - 53 + 19 = 0. Let o = q - -27. Solve -o = 5*u - 3*u for u. -5 Let s(a) = -a + 9. Let b be s(5). Suppose 3*p = b*u - 20, 2*p = -u - 3*p + 5. Solve -u*g - 6 = -3*g for g. -3 Suppose 35 = 2*f - 5. Suppose 0 = -w - 4*w + f. Solve 0 = -w*s - 1 - 3 for s. -1 Suppose 2*y + 17 = -31. Let u = 24 + y. Solve u = 4*x - 3*x + 3 for x. -3 Let r(k) = -k**3 + 5*k**2 + 7*k - 2. Suppose 5*z + 5*a = 30, 0*z = -z + 2*a + 6. Let q be r(z). Solve -3 = -q*h + 1 for h. 1 Let k(l) be the first derivative of 3*l + 1/4*l**4 + 1 + 2*l**2 + 4/3*l**3. Let t be k(-2). Solve 2*w + t + 1 = 0 for w. -2 Let p(g) = -g**2 + 8*g + 2. Let s be p(8). Solve 2*y - s = 2 for y. 2 Let z be 600/27 + 8/(-36). Suppose -2*y + z = -5*f, -5*f + 0*f = 5*y + 15. Suppose 4*n + 6*k = 2*k - 12, -5*n + 3*k + 17 = 0. Solve y = -x - n for x. -2 Let q(z) = 5*z - 39. Let s be q(8). Solve -2*o + s = 3 for o. -1 Let c be 12/18 + 4/(-6). Solve c = -2*x - x - 6 for x. -2 Let q(o) = 6 + o - 3 + 2 + 6. Let b be q(-5). Solve 0 = -2*s - b - 4 for s. -5 Suppose 0*q + 4*q = 0. Solve q*d - 4*d = 0 for d. 0 Let i(m) = m**3 + m**2 + m + 3. Let l be i(0). Suppose 0 = l*q - q - 8. Suppose -t + 4*b = 5, -q*b = -t + b - 7. Solve t*g = -2*g - 5 for g. -1 Let w(n) = n**2 - 5*n + 6. Let h be w(7). Solve 4*i = 8 - h for i. -3 Let g(y) be the second derivative of -y**3/6 - 5*y**2/2 - 3*y. Let k be g(-8). Solve k*r + 2*r = -5 for r. -1 Suppose 17*q - 101 = 18. Let f(a) = 4*a - 1. Let n be f(1). Let u(z) = -2*z - 2. Let v be u(-5). Solve n*r - v = q for r. 5 Let w(r) = -r**2 - r. Let s(p) = 4*p**2 - 1. Let k(n) = s(n) + 5*w(n). Let z be k(-2). Solve x + 1 = z for x. 4 Let p(l) = 11 - l + 4 - 4. Let z be p(8). Suppose -z*y = -y - 4. Solve y*i + 2*i - 8 = 0 for i. 2 Suppose 6 = 2*j - 26. Let z = j + -14. Solve z*t + 2 = -0*t for t. -1 Let q(k) = -5 + 4*k**2 + 1 + 2*k + 2. Suppose 2*s = -3*h - h - 10, -4*s - 4 = 0. Let f be q(h). Solve 0 = l - 3*l - f for l. -5 Let j be ((-30)/40)/((-1)/4). Suppose -4*r + 15 - j = 0. Solve 0 = -u + 4*u - r for u. 1 Let p(y) = 2552*y**2 - 4 - 2556*y**2 + 0*y**3 - 2*y**3. Suppose 4*v = 3 - 15. Let a be p(v). Solve -1 = -3*k + a for k. 5 Suppose 3*z + s + 8 = 4*z, 2*z + 19 = -5*s. Solve 0 = -z*x + 3 for x. 1 Suppose 4 = -2*s + 14. Solve 6*z - z = s for z. 1 Let w = 21 - 19. Solve w*k + 2*k = 12 for k. 3 Let b(i) = 7*i + 4*i**2 + i**2 - 6*i**2 + 0*i + 7. Let f be b(7). Solve 15 = 4*o - f*o for o. -5 Let k(c) = -c**3 + 9*c**2 + 11*c - 5. Let x be k(10). Solve x*f = 5 + 15 for f. 4 Suppose 0 = 4*c - 14 + 6, -5*c = 2*b - 20. Suppose -3*q = 5*o - 81, o - 3*q = 4*o - 51. Suppose -x - 2*x + o = 0. Solve -b - 10 = -x*h for h. 3 Let p = -5 - -11. Suppose 10 = x - p*x, 0 = 4*j - x - 14. Solve -3*t - j = -2*t for t. -3 Let x = -24 + 29. Suppose -x*k + w = -9, k = 4*k - w - 5. Solve -k = 2*r - 0*r for r. -1 Let j(v) = 2*v + 1. Let l be j(-4). Let k = -4 - l. Suppose 0 = 5*z - k - 7. Solve 0 = -i - z*i - 12 for i. -4 Let r = 163 + -153. Solve 7 = 3*k + r for k. -1 Suppose -4*k + 9*k - 5 = 0. Solve 0 = -p - k for p. -1 Suppose -y - 5*y + 60 = 0. Solve -5*v + y = -10 for v. 4 Let q be 22/8 - 9/(-36). Suppose 2*n = 5*d - 40, q*d - 4*d = -5*n - 31. Solve 0 = -5*w + d - 1 for w. 1 Let t(x) = -2*x**2 + 2. Let c be t(-4). Let d be -2 + (1*c)/(-2). Solve -3*b = -2 - d for b. 5 Let o(t) = -t**3 + 4*t**2 + 5*t. Let g be o(5). Solve g = -5*l - 4 + 9 for l. 1 Let a = 30 - 9. Solve -3*t = -6 + a for t. -5 Suppose -4*w = -0*w + 16. Let x = -11 + 5. Let y = w - x. Solve -5*f + 6 = -y*f for f. 2 Suppose 2*d = 3*d. Let a be (d - (0 - 3))*1. Solve a*u + 2*u = -20 for u. -4 Suppose h + 0*h + 10 = 3*s, 0 = 3*s + h - 2. Solve 4 = -s*q + 6*q for q. 1 Let x = 5 - 5. Solve -3*m - 2*m - 15 = x for m. -3 Let g(x) = -x**3 + 5*x**2 - 12. Let z be g(4). Solve z - 2 = 2*o for o. 1 Let r(h) be the first derivative of -h**4/4 + 2*h**3/3 + h**2 - 2*h - 4. Let s be r(2). Solve 0*b - s*b = 0 for b. 0 Suppose 2*a = -a + 36. Suppose 8 = 5*i - a. Suppose -i*m - 3*w + 19 = 0, 2*m - 7 = m - 3*w. Solve -3*s - m = 2 for s. -2 Let i = -8 - -12. Solve -b - i*b = 10 for b. -2 Suppose 5*i + 1 = -q, 4*i + 16 = -0*i + 3*q. Let l be ((-1)/(-1) + i)/2. Let m be -2 + 2/1*2. Solve l - 10 = -m*w for w. 5 Let h be ((-4)/(-5))/((-8)/(-20)). Let q be h/(4/2) + -1. Suppose -g = -q*g. Solve -5*n + n = g for n. 0 Let r(t) be the second derivative of -t**4/12 + t**3 + 2*t**2 + 5*t. Let h be r(6). Solve -h*q = q for q. 0 Let y be 0 - 0 - (0 - 2). Suppose 2*d - 18 = -0*d + 4*g, 2*d - g - 6 = 0. Solve -y*c + d = -1 for c. 1 Let l be 3/(-5) + (-3)/(-5). Solve 12 = 4*i - l*i for i. 3 Let v(y) = y + 1 + 2 - 2 + 1. Let w be v(2). Suppose 4*a - a = 9. Solve -k + w*k = -a for k. -1 Let r be (4/3)/(2/3). Suppose 4 = r*i - i. Solve -i*g = 8 + 4 for g. -3 Suppose -4*i - 3*a - 1 = -2, 9 = 5*i - 4*a. Let o(n) = -n**3 - 2*n**2 - 6*n + 0*n + 5 - 7*n**2 + 2*n**2. Let v be o(-6). Solve -3*j = i + v for j. -2 Suppose 0 = -4*t, -3*m + 0*m = -t - 12. Solve m*j = 6 + 2 for j. 2 Suppose 0 = 5*j + 3*m - 14, j + m + 4*m + 6 = 0. Suppose -4*l + 8 = j. Solve s + 4 + l = 0 for s. -5 Supp
{ "pile_set_name": "DM Mathematics" }
45 Calculate prob of picking 1 u, 2 l, and 1 v when four letters picked without replacement from {u: 1, l: 4, v: 2, h: 1}. 6/35 Calculate prob of picking 2 c and 2 r when four letters picked without replacement from rcrcrccccccc. 12/55 Two letters picked without replacement from pkppppk. Give prob of picking 2 p. 10/21 Three letters picked without replacement from {p: 2, s: 8, f: 4, u: 3}. What is prob of picking 2 s and 1 p? 7/85 Calculate prob of picking 2 v and 1 h when three letters picked without replacement from hfhhhfhhhv. 0 Three letters picked without replacement from kczzzzkkccccc. What is prob of picking 1 c and 2 z? 18/143 What is prob of picking 2 i, 1 m, and 1 z when four letters picked without replacement from iiwmbiwzbi? 1/35 Two letters picked without replacement from usssssssssusuusussu. Give prob of picking 1 u and 1 s. 26/57 Three letters picked without replacement from {p: 2, y: 3, a: 2, n: 2, s: 4}. Give prob of picking 2 s and 1 a. 6/143 Calculate prob of picking 1 h and 1 z when two letters picked without replacement from {a: 8, h: 3, z: 7}. 7/51 Four letters picked without replacement from upprnprxrx. What is prob of picking 2 p and 2 r? 3/70 Two letters picked without replacement from {d: 2, w: 2, t: 8}. Give prob of picking 2 d. 1/66 Calculate prob of picking 1 h, 2 t, and 1 y when four letters picked without replacement from {y: 4, t: 6, h: 5}. 20/91 Two letters picked without replacement from gghxxgx. What is prob of picking 1 g and 1 x? 3/7 What is prob of picking 2 f and 1 i when three letters picked without replacement from ffffffffffiffiffifif? 8/19 Two letters picked without replacement from {d: 9, q: 1, a: 2, p: 1, b: 7}. Give prob of picking 1 b and 1 d. 63/190 Three letters picked without replacement from {q: 10, i: 1, c: 6}. Give prob of picking 3 i. 0 Two letters picked without replacement from {s: 2, o: 1, z: 1, w: 1, y: 1, x: 1}. Give prob of picking 1 o and 1 x. 1/21 Calculate prob of picking 1 k, 1 r, and 2 o when four letters picked without replacement from ekweeokrekowkkwkke. 7/3060 Two letters picked without replacement from ihihhhihnhihnniihi. What is prob of picking 1 h and 1 n? 8/51 Three letters picked without replacement from {r: 19, b: 1}. What is prob of picking 2 r and 1 b? 3/20 What is prob of picking 2 g and 1 m when three letters picked without replacement from mgmmmggggggmm? 63/143 Three letters picked without replacement from {j: 12, t: 7}. What is prob of picking 3 j? 220/969 Calculate prob of picking 2 p and 1 d when three letters picked without replacement from ptdpodg. 2/35 What is prob of picking 1 s and 2 q when three letters picked without replacement from {s: 1, c: 4, q: 8}? 14/143 Three letters picked without replacement from {t: 3}. Give prob of picking 3 t. 1 What is prob of picking 2 e and 1 p when three letters picked without replacement from {p: 5, l: 1, y: 9, e: 3}? 5/272 Two letters picked without replacement from {v: 2, y: 2, l: 2, h: 2}. What is prob of picking 1 y and 1 v? 1/7 What is prob of picking 1 g and 1 n when two letters picked without replacement from {n: 6, k: 1, g: 9, v: 2}? 6/17 Two letters picked without replacement from {d: 2, s: 3, r: 2, h: 2}. What is prob of picking 1 h and 1 r? 1/9 Two letters picked without replacement from hnrwwuhb. Give prob of picking 1 w and 1 u. 1/14 Calculate prob of picking 4 v when four letters picked without replacement from vvvvvvv. 1 Four letters picked without replacement from {s: 2, a: 1, y: 2, f: 1}. What is prob of picking 1 s, 1 f, 1 a, and 1 y? 4/15 Two letters picked without replacement from {v: 2, x: 2, z: 2, q: 2, t: 8}. What is prob of picking 2 x? 1/120 What is prob of picking 2 o when two letters picked without replacement from obbeboebhbeegyyeeeey? 1/190 Four letters picked without replacement from {z: 2, p: 2, g: 1, h: 1}. Give prob of picking 1 h, 1 p, and 2 z. 2/15 What is prob of picking 2 f and 1 e when three letters picked without replacement from {f: 2, z: 3, d: 1, e: 1}? 1/35 Four letters picked without replacement from tqttyyqty. Give prob of picking 3 y and 1 t. 2/63 What is prob of picking 1 g, 2 o, and 1 t when four letters picked without replacement from {o: 2, w: 1, g: 1, z: 1, t: 1, f: 1}? 1/35 What is prob of picking 1 p and 1 t when two letters picked without replacement from txwxxprtxxtxw? 1/26 Two letters picked without replacement from {e: 1, o: 6, p: 11}. What is prob of picking 2 p? 55/153 Calculate prob of picking 1 k and 1 l when two letters picked without replacement from {g: 4, l: 3, z: 4, t: 3, e: 1, k: 2}. 3/68 Calculate prob of picking 1 c and 1 t when two letters picked without replacement from ttcttttttto. 9/55 Four letters picked without replacement from {o: 4, v: 3, a: 10, e: 2}. What is prob of picking 1 v, 2 o, and 1 e? 3/323 Two letters picked without replacement from iiiiiiiiiinieiiin. What is prob of picking 2 i? 91/136 Two letters picked without replacement from mbo. What is prob of picking 1 o and 1 b? 1/3 Four letters picked without replacement from {s: 1, q: 3, i: 3}. What is prob of picking 1 s, 2 i, and 1 q? 9/35 Calculate prob of picking 2 y when two letters picked without replacement from sdssssddsddsdsssyy. 1/153 Two letters picked without replacement from {d: 2, r: 6, g: 1, q: 2}. Give prob of picking 2 r. 3/11 Three letters picked without replacement from xxyxxxxxxxxxxxxxxx. What is prob of picking 1 y and 2 x? 1/6 Calculate prob of picking 2 q and 2 f when four letters picked without replacement from xxjxqqwfqtqfxj. 6/1001 Two letters picked without replacement from {u: 3, d: 1, m: 1}. What is prob of picking 2 u? 3/10 What is prob of picking 2 s when two letters picked without replacement from isstsstitssiisti? 7/40 What is prob of picking 1 d, 1 v, and 1 o when three letters picked without replacement from {v: 1, d: 4, w: 2, h: 2, o: 1}? 1/30 Calculate prob of picking 1 o and 1 d when two letters picked without replacement from {d: 1, h: 5, w: 3, o: 1}. 1/45 Calculate prob of picking 1 m and 1 b when two letters picked without replacement from {y: 1, f: 1, m: 3, h: 3, b: 3, j: 4}. 3/35 Calculate prob of picking 2 q when two letters picked without replacement from {y: 1, i: 2, s: 3, q: 6, f: 1}. 5/26 Calculate prob of picking 3 g when three letters picked without replacement from uggguugggggg. 21/55 Calculate prob of picking 1 h and 1 p when two letters picked without replacement from hhpdwppfkkwdkdk. 2/35 Calculate prob of picking 3 i when three letters picked without replacement from hhihihhiiiiiii. 3/13 What is prob of picking 2 s when two letters picked without replacement from gsssggss? 5/14 Two letters picked without replacement from cybacaaacaxyaaaxay. What is prob of picking 1 y and 1 x? 2/51 What is prob of picking 1 l and 1 g when two letters picked without replacement from {g: 2, u: 4, l: 1, i: 1}? 1/14 Calculate prob of picking 1 x and 1 g when two letters picked without replacement from {g: 1, x: 2, p: 3, h: 1}. 2/21 Two letters picked without replacement from {o: 6, y: 13}. What is prob of picking 2 y? 26/57 What is prob of picking 4 c when four letters picked without replacement from zcqzqccqccccccczcc? 11/68 Two letters picked without replacement from fifiniiiionooooioio. What is prob of picking 2 n? 1/171 What is prob of picking 1 r and 2 p when three letters picked without replacement from rrprprrr? 3/28 Calculate prob of picking 2 e when two letters picked without replacement from {e: 3, u: 5}. 3/28 Three letters picked without replacement from uubuueewuwuwwcu. Give prob of picking 1 c, 1 w, and 1 b. 4/455 Three letters picked without replacement from wwwwwvjwnwvjnwwno. Give prob of picking 1 w, 1 v, and 1 o. 9/340 What is prob of picking 2 b when two letters picked without replacement from twrtbbcrbt? 1/15 Four letters picked without replacement from {b: 4, x: 5, k: 5}. What is prob of picking 2 x and 2 b? 60/1001 What is prob of picking 1 o and 1 g when two letters picked without replacement from cogll? 1/10 Three letters picked without replacement from {t: 4, v: 2}. Give prob of picking 2 v and 1 t. 1/5 Two letters picked without replacement from kkkkkkk. What is prob of picking 2 k? 1 Calculate prob of picking 1 p, 2 i, and 1 u wh
{ "pile_set_name": "DM Mathematics" }
s**3 + 6*s**2. 2*s**3 + 8*s**2 + s + 1671 Collect the terms in -178*m**3 + 38*m**3 + 32*m**3 + 39*m**3 + 38*m**3 + 34*m**3 - 26*m. 3*m**3 - 26*m Collect the terms in 2*j - 39 + 178 - 28 - 39 - 24 - 19. 2*j + 29 Collect the terms in -113*g**3 + 86*g**2 - 162*g**3 + 1574*g**3 - 120*g**2 + 34*g**2. 1299*g**3 Collect the terms in -546 - 10*x**2 + 14*x + 638 - 90. -10*x**2 + 14*x + 2 Collect the terms in 239335 + 1828*s - 239335. 1828*s Collect the terms in 207366218*v**3 + 207366203*v**3 - 414732454*v**3. -33*v**3 Collect the terms in 27*i**3 + 29*i**3 + 35*i**3 + 33*i**3 - 231*i**3 + 98*i**3. -9*i**3 Collect the terms in 1624567879 + d - 1624567879. d Collect the terms in -10699*z + 21518*z - 10866*z. -47*z Collect the terms in 14052652 - 14052652 - 1704*a**3. -1704*a**3 Collect the terms in -72134*a - 43147*a + 115283*a. 2*a Collect the terms in 23829*f - 11235*f - 9950*f. 2644*f Collect the terms in 1134227*r**2 + 1134222*r**2 - 2268545*r**2. -96*r**2 Collect the terms in -283 + 32*w - 663 - 30 - 22*w. 10*w - 976 Collect the terms in -15249*o**2 - o + 5*o - 2*o - 7*o. -15249*o**2 - 5*o Collect the terms in -4*i + 8*i + 19*i**2 - 5*i + 182*i**2. 201*i**2 - i Collect the terms in -16611*d + 2601975*d + 1141542*d. 3726906*d Collect the terms in 144*u - 666*u - 1334*u - 395*u. -2251*u Collect the terms in 410*b**2 + 69*b - 412*b**2 - 20*b**3 + 134*b. -20*b**3 - 2*b**2 + 203*b Collect the terms in -16284*t**3 - 3133*t**2 + 3208*t**2 + 16283*t**3. -t**3 + 75*t**2 Collect the terms in -2*k + 3 + 1 + 26 + 70. -2*k + 100 Collect the terms in -23051*a - 23058*a + 69174*a - 23038*a. 27*a Collect the terms in 168 - 168 - 130641*h. -130641*h Collect the terms in -82*r**2 - 152*r**2 + 26*r**2 - 8*r**2 - 14*r**2. -230*r**2 Collect the terms in -208*o + 61*o - 134*o + 10. -281*o + 10 Collect the terms in 26*b**2 + 964*b - 2789*b + 34*b**2 + 957*b + 868*b. 60*b**2 Collect the terms in -10441*i**2 + i - i - 6859*i**2. -17300*i**2 Collect the terms in 2132*y - 5245*y + 9081*y + 8117*y + 1712*y. 15797*y Collect the terms in 2*d - 57*d**2 - 139 + 5*d**3 - 2*d - 187*d**2. 5*d**3 - 244*d**2 - 139 Collect the terms in 52*y**2 - 223*y**2 - 740*y**2 - 104*y**2 - 466*y + 462*y. -1015*y**2 - 4*y Collect the terms in 389*a - 19241*a**2 - 389*a. -19241*a**2 Collect the terms in -1685*l**2 - 791*l**2 + 901*l**2 - 2743*l**2. -4318*l**2 Collect the terms in -549*j**2 - 5*j + 151*j**2 + 7*j. -398*j**2 + 2*j Collect the terms in 35*v + 1 - 7*v + 15 + 5*v. 33*v + 16 Collect the terms in 26*c**3 - 6*c**2 + 15*c**2 - 37*c**3 + 54*c**2 + 10*c**3. -c**3 + 63*c**2 Collect the terms in 27*x**3 + 118*x**3 + 0 + 0 - 14*x**3 + 184*x**3. 315*x**3 Collect the terms in 1922082*k**2 - 490135*k**2 + 170329*k**2. 1602276*k**2 Collect the terms in 4*v - 6*v + 2422734 - 2*v**2 - 2422768 + 2*v. -2*v**2 - 34 Collect the terms in 76 + 73 - 315 + 94 + 39*n + 85. 39*n + 13 Collect the terms in 30*c + 14 + c + 10 - 28*c. 3*c + 24 Collect the terms in -1215 - p**3 + 2400 - 3*p + 4*p - p - 1185. -p**3 Collect the terms in 1493 - 2*i**2 - 1737 + 2669 + 0*i + 10453 + i. -2*i**2 + i + 12878 Collect the terms in 11 - 175*n**2 + 4*n + 2*n**2 - 115*n**2 - n**3. -n**3 - 288*n**2 + 4*n + 11 Collect the terms in -601 + 89*w**3 - 30*w**3 + 303 + 298. 59*w**3 Collect the terms in 3*b**2 + 4365 + 45*b - 4365 - 45*b. 3*b**2 Collect the terms in 4442 + 4251 - 185*l**2 - 13139 + 4446. -185*l**2 Collect the terms in -268 + 369*l**3 + l - 225 + 491. 369*l**3 + l - 2 Collect the terms in h + 247*h**2 + 159*h**2 - 1345583 + 1345583 + 366*h**2. 772*h**2 + h Collect the terms in -266*p**2 + 15 - 9*p**3 - 30 + 17 - 2*p - 5*p. -9*p**3 - 266*p**2 - 7*p + 2 Collect the terms in -72*l - 3 + 471*l - 15 + 18. 399*l Collect the terms in 144*o**3 - 948*o**2 - 880*o**2 + 1828*o**2. 144*o**3 Collect the terms in -3 + 3 + 84*c**3 - 603*c + 603*c - 71*c**3. 13*c**3 Collect the terms in -14*d + 3207*d**2 - d + 3*d**3 - d. 3*d**3 + 3207*d**2 - 16*d Collect the terms in -163788144*z + 327576248*z - z**2 - 4*z**3 + z**2 - 163788104*z. -4*z**3 Collect the terms in -458412*w - 458059*w + 918355*w. 1884*w Collect the terms in 53 - 64 + 72 + 14*c + 113 - 3*c. 11*c + 174 Collect the terms in 1890*r**3 + 2149*r**3 + 1246*r**3 - 4603*r**3. 682*r**3 Collect the terms in -6 + 12 - 6 - 2263872*j + 2263871*j. -j Collect the terms in 2113*h - 49 + 103 - 52. 2113*h + 2 Collect the terms in -120 + 68 + 54 - 5*y - 125 - 194 + 7*y. 2*y - 317 Collect the terms in -1 + 10705*m - 19246*m - 3 + 2*m**2 - 3*m**2 + 3. -m**2 - 8541*m - 1 Collect the terms in 5 + 16 + 2*n + 15 - 26. 2*n + 10 Collect the terms in -8*n + 17924*n**2 - 3*n + 14*n - 17723*n**2. 201*n**2 + 3*n Collect the terms in -16*m - 27*m - 1311828534 + 45*m + 1311828534. 2*m Collect the terms in 46675*k**3 - 140026*k**3 - 30*k**2 + 46683*k**3 + 46670*k**3 + 30*k**2. 2*k**3 Collect the terms in 578870862 + 4*o + 0*o - 578870862. 4*o Collect the terms in -10*u + 15*u - 36*u + 45*u + 3*u. 17*u Collect the terms in 536031028 - 4*z - 4*z + 0*z - 4*z - 536031028. -12*z Collect the terms in 10*u**3 + 159 - 99 - 11*u**3 - 59 - 18*u**3. -19*u**3 + 1 Collect the terms in -137 + 73 - 188535*u**2 + 64. -188535*u**2 Collect the terms in -28 - 84*f - 23 - 34 + 27*f + 29. -57*f - 56 Collect the terms in -1317 - 39*k**2 + 3*k + 912 - 6*k**3 + 405. -6*k**3 - 39*k**2 + 3*k Collect the terms in 814*z + 538*z + 811*z + 809*z + 819*z - 3784*z. 7*z Collect the terms in 35 + 39660*y**3 - 35 - 43387*y + 43387*y. 39660*y**3 Collect the terms in 1633746*g**3 + 14 - 14. 1633746*g**3 Collect the terms in -22*z**2 + 49*z**2 + 103465*z**3 - 27*z**2. 103465*z**3 Collect the terms in 6*d**2 - 6888965*d - 46*d**2 - 46*d**2 + 0 + 6888965*d + 2. -86*d**2 + 2 Collect the terms in -14763066 - 2*m + 14763066. -2*m Collect the terms in -152 + 19 + 12033*b - 48100*b + 12024*b + 12023*b + 12019*b. -b - 133 Collect the terms in 633*c**2 - 36*c**2 - 481*c**2 - 114*c**2. 2*c**2 Collect the terms in 33973 + 33983 + 33983 + 5*y - 169902 + 33983 + 33980. 5*y Collect the terms in -l**2 - 1953*l**3 + 11*l**2 - 10*l**2 + 1990*l**3. 37*l**3 Collect the terms in -13*x**2 + 61*x + 990*x - 12*x**2 + 9*x**2 - 1051*x. -16*x**2 Collect the terms in 6779 - 6779 + 8839*i**3. 8839*i**3 Collect the terms in -156*s**2 + 902*s - 9*s**3 + s**3 + 156*s**2. -8*s**3 + 902*s Collect the terms in 0*j + 8623 - 17197 + 8429 + j. j - 145 Collect the terms in -29 - 65 + 11*g + 157 - 63. 11*g Collect the terms in 66804*l**3 - 14 + 183017*l**3 + 120934*l**3. 370755*l**3 - 14 Collect the terms in 54334*r - 13582*r - 13582*r - 13590*r - 13589*r. -9*r Collect the terms in 492745*j**3 + 99204*j**3 + 966684*j**3. 1558633*j**3 Collect the terms in 147171363663*d**3 + 106*d - 106*d - 147171363677*d**3. -14*d**3 Collect the terms in 4*c - 7*c + 218*c**3 + 30 - 3*c - 33 + 12*c. 218*c**3 + 6*c - 3 Collect the terms in -78550*r**2 + 50276*r**2 - 74320*r**2 - 160655*r**2. -263249*r**2 Collect the terms in -181220*c**2 - 445627*c**2 - 4348149*c**2 - 1928334*c**2. -6903330*c**2 Collect the terms in -64*k**2 + 5369*k**3 + 66*k**2 - 2*k**2 + 1056*k**3. 6425*k**3 Collect the terms in -2*a**3 - 2532*a - a**3 + 169*a + 360*a. -3*a**3 - 2003*a Collect the terms in 897 + 588 + 2*w - 488 + 1228. 2*w + 2225 Collect the terms in 7*v**2 + 3911027 - 1955514 - 1955512. 7*v**2 + 1 Collect the terms in -516 - 543 + 84*s + 1598 - 543. 84*s - 4 Collect the terms in 0 + 5 - 8 + 3 + 3507*q. 3507*q Collect the terms in 1368*t + 1378*t - 2777*t + 32*t**2. 32*t**2 - 31*t Collect the terms in -24*x**2 + 177*x**2 + 589*x**2. 742*x**2 Collect the terms in -382*n**2 + 742*n**2 - 2 + 2 - 345*n**2 + 63*n - 65*n. 15*n**2 - 2*n Collect the terms in 35100338*i + 7*i**2 - 17550158*i - 17550180*i. 7*i**2 Collect the terms in p**2 - 5367 - 104*p - 5391 + 10763. p**2 - 104*p + 5 Collect the terms in -14*r**2 + 331913 - 331913 - 15*r**2. -29*r**2 Collect the terms in 21 + 555*j - 10 - 2 + 3 + 912*j. 1467*j + 12 Collect the terms in 1 + 1417385*f**2 - 1410626*f**2 - 1. 6759*f**2 Collect the terms in 292*b**2 + 269*b**2 - 8 - 589*b**2 - 55 + 2*b**3. 2*b**3 - 28*b**2 - 63 Collect the terms in -32 + 82 - 20 - 8*t - 21 - 15. -8*t - 6 Collect the terms in 76645*b - 25568*b - 25540*b - 6*b**3 - 25537*b - 4*b**3. -10*b**3 Co
{ "pile_set_name": "DM Mathematics" }
3/2 - 904*x**2 - 833245*x/2 - 7209225 = 0. Calculate x. -895, -18 Find o, given that 2*o**4/3 + 452*o**3 + 902*o**2 + 1352*o/3 = 0. -676, -1, 0 Determine n, given that -172*n**5/9 + 26*n**4 + 4*n**3 - 86*n**2/9 - 4*n/3 = 0. -1/2, -6/43, 0, 1 Factor 3*o**4 + 2919*o**3 - 5871*o**2 - 20487*o - 11700. 3*(o - 4)*(o + 1)**2*(o + 975) Factor -m**2/2 + 65199*m. -m*(m - 130398)/2 What is b in -2*b**2/3 - 761104*b/3 - 761102/3 = 0? -380551, -1 Solve 2*b**2 + 54490*b = 0. -27245, 0 Determine m, given that -5*m**5 + 20*m**4 + 145*m**3 + 120*m**2 = 0. -3, -1, 0, 8 What is y in 36*y**5 - 826*y**4 + 2110*y**3 + 332*y**2 - 2640*y = 0? -1, 0, 3/2, 22/9, 20 Find k such that 3*k**2 + 2162292*k + 2162289 = 0. -720763, -1 Find x such that -5*x**3/2 + 43695*x**2 - 191143590*x + 1907068900 = 0. 10, 8734 Find v, given that -3*v**2 - 1312026*v - 143451018723 = 0. -218671 Suppose q**2/5 - 5758*q/5 - 402063/5 = 0. What is q? -69, 5827 Let 14*s**3/17 - 3646*s**2 - 168352*s/17 + 53160/17 = 0. What is s? -3, 2/7, 4430 Factor 4*q**2 - 4832*q - 1113552. 4*(q - 1406)*(q + 198) Factor -5*h**2 - 1300*h + 6625. -5*(h - 5)*(h + 265) Factor -4*g**2/5 - 13468*g/5 - 40368/5. -4*(g + 3)*(g + 3364)/5 Factor -q**4/3 - 10*q**3/3 + 91*q**2/3 - 80*q/3. -q*(q - 5)*(q - 1)*(q + 16)/3 Factor 4*w**2 - 272*w - 9300. 4*(w - 93)*(w + 25) Let 49*l**5/8 + 3997*l**4 + 1290325*l**3/2 - 2268122*l**2 - 1453696*l - 215168 = 0. What is l? -328, -2/7, 4 Factor -146*o**4 - 725*o**3 - 851*o**2 + 30*o. -o*(o + 2)*(o + 3)*(146*o - 5) Factor -2*b**2 + 1602*b + 168260. -2*(b - 895)*(b + 94) What is c in -5*c**3 - 450*c**2 + 17855*c - 17400 = 0? -120, 1, 29 Factor 2*p**5/9 - 92*p**4/9 + 86*p**3/3. 2*p**3*(p - 43)*(p - 3)/9 Solve 2*q**3/5 - 82*q**2/5 + 958*q/5 - 598 = 0 for q. 5, 13, 23 Let 16*b**2 - 18*b + 2 = 0. What is b? 1/8, 1 Suppose -l**4/4 + 69*l**3/4 + 2035*l**2/2 + 12000*l + 11000 = 0. Calculate l. -20, -1, 110 Find w such that -4*w**3 - 2222*w**2 = 0. -1111/2, 0 Suppose -2*s**5/9 - 380*s**4/9 - 248*s**3 - 4432*s**2/9 - 2944*s/9 = 0. Calculate s. -184, -2, 0 Factor -3*c**3 + 393*c**2 - 5904*c + 10260. -3*(c - 114)*(c - 15)*(c - 2) Let -p**2/6 + 6044*p/3 - 18264968/3 = 0. What is p? 6044 Find n, given that -5*n**2 + 980*n + 4000 = 0. -4, 200 Factor 11*f**2/5 + 6191*f/5 - 1126/5. (f + 563)*(11*f - 2)/5 Factor 12*x**2 - 4273755*x + 1068438. 3*(x - 356146)*(4*x - 1) Find y, given that 2*y**3 + 858*y**2 - 2592*y = 0. -432, 0, 3 Determine i so that 16*i**5/3 + 290*i**4/3 - 3916*i**3/3 + 13714*i**2/3 - 4784*i - 672 = 0. -28, -1/8, 3, 4 Determine f so that -3*f**3 + 18420*f**2 + 3*f - 18420 = 0. -1, 1, 6140 Solve 4*a**5 + 4*a**4 - 4*a**3 - 4*a**2 = 0. -1, 0, 1 Factor -w**3/2 + 141*w**2/4 - 1917*w/4 + 1643/2. -(w - 53)*(w - 2)*(2*w - 31)/4 Solve 1372*t**5/3 + 6076*t**4 + 13349*t**3/3 - 615*t**2 - 1143*t - 225 = 0 for t. -25/2, -3/7, 1/2 Find c such that 4*c**5/7 - 100*c**4 + 13852*c**3/7 + 1480172*c**2/7 + 15996928*c/7 + 26195312/7 = 0. -26, -11, -2, 107 Determine s so that 104*s**5 - 9714*s**4 - 5866*s**3 + 3576*s**2 - 376*s = 0. -1, 0, 2/13, 1/4, 94 What is c in 34*c**3/9 - 12116*c**2/9 - 874*c + 476 = 0? -1, 6/17, 357 Let 4*g**2 - 2880*g - 11584 = 0. What is g? -4, 724 Determine l, given that -4*l**2 + 88816*l + 1155284 = 0. -13, 22217 Suppose 4*v**4 - 1612*v**3 + 163212*v**2 - 161604*v = 0. Calculate v. 0, 1, 201 Determine q so that -2*q**5/19 + 26*q**4/19 + 2*q**3/19 - 530*q**2/19 - 1152*q/19 - 648/19 = 0. -2, -1, 9 Factor -4*a**3/7 + 1364*a**2/7 - 19220*a + 2979100/7. -4*(a - 155)**2*(a - 31)/7 What is l in 4*l**3/5 + 204256*l**2/5 - 817072*l/5 + 817088/5 = 0? -51068, 2 Suppose -3*p**5/2 + 7389*p**4/2 - 3029484*p**3 + 824004036*p**2 + 2493273960*p + 1666236744 = 0. What is p? -2, -1, 822 Factor b**2/8 + 585*b/8 - 19703/4. (b - 61)*(b + 646)/8 Factor 3*x**2 + 932370*x + 72442818075. 3*(x + 155395)**2 Factor 5*l**3 + 1220*l**2 - 4940*l + 4960. 5*(l - 2)**2*(l + 248) Let -i**3 - 10767*i**2 - 771336*i - 13860720 = 0. Calculate i. -10695, -36 Factor 4*u**3 - 40012*u**2 + 100040000*u + 100080016. 4*(u - 5002)**2*(u + 1) Solve 4*v**4 - 488*v**3 - 1500*v**2 - 16*v + 2000 = 0 for v. -2, 1, 125 Let -11*g**5/2 + 161*g**4/6 + 383*g**3/3 + 248*g**2/3 - 128*g/3 = 0. What is g? -2, -16/11, 0, 1/3, 8 Let -2*x**5/9 - 14*x**4 - 2306*x**3/9 - 3766*x**2/3 + 2308*x/9 + 3808/3 = 0. Calculate x. -34, -21, -8, -1, 1 Find w, given that -3*w**5 + 40962*w**4 - 122865*w**3 + 81906*w**2 = 0. 0, 1, 2, 13651 Solve -4*a**2 + 129688*a + 518816 = 0. -4, 32426 Factor -10*x**3 - 29266*x**2 + 58562*x - 29286. -2*(x - 1)**2*(5*x + 14643) Factor -69*m**2/2 + 11867*m/4 + 43/2. -(m - 86)*(138*m + 1)/4 Determine d so that -d**2 + 18175*d = 0. 0, 18175 Factor -5*p**2/2 + 7195*p/2 + 10815. -5*(p - 1442)*(p + 3)/2 Determine t so that -4*t**5 - 202*t**4 + 9948*t**3 + 5224*t**2 - 9944*t - 5022 = 0. -81, -1, -1/2, 1, 31 Let 2*k**4/5 + 18336*k**3/5 + 18332*k**2/5 - 18336*k/5 - 18334/5 = 0. What is k? -9167, -1, 1 Factor -2996*n**2/9 + 6002*n/9 - 20/9. -2*(n - 2)*(1498*n - 5)/9 Factor 3*a**2/4 + 240*a - 8883/4. 3*(a - 9)*(a + 329)/4 Factor 44*v**2/7 - 13820*v - 35184/7. 4*(v - 2199)*(11*v + 4)/7 Solve -4*r**2/3 + 104*r/3 = 0. 0, 26 Let -2*f**5/9 - 146*f**4/9 + 922*f**3/9 - 2030*f**2/9 + 1888*f/9 - 632/9 = 0. What is f? -79, 1, 2 Find h such that -3*h**3 - 417*h**2 + 5436*h = 0. -151, 0, 12 Determine n, given that 4*n**3 + 36*n**2 - 928*n - 960 = 0. -20, -1, 12 Find i, given that 4*i**4 - 912*i**3 + 45420*i**2 - 629504*i - 675840 = 0. -1, 32, 165 Solve 4*o**2 + 22612*o = 0. -5653, 0 Determine x so that 2*x**4 + 92*x**3 + 720*x**2 + 2052*x + 1998 = 0. -37, -3 Factor -3*d**2 - 63900*d - 340267500. -3*(d + 10650)**2 Let -2*n**4 - 14024*n**3 + 28054*n**2 - 14028*n = 0. What is n? -7014, 0, 1 Factor 3*k**5/4 + 3*k**4 - 9*k**3 - 24*k**2 + 48*k. 3*k*(k - 2)**2*(k + 4)**2/4 What is y in -8*y**2/3 - 10186*y/3 - 2546/3 = 0? -1273, -1/4 Determine i, given that -75*i**3 + 15756*i**2/5 - 30252*i/5 + 96 = 0. 2/125, 2, 40 Find t, given that 2*t**4/3 + 2096*t**3/9 - 12026*t**2/9 + 15604*t/9 - 5680/9 = 0. -355, 2/3, 1, 4 Let -4*m**4 - 76*m**3 + 196*m**2 + 604*m + 336 = 0. Calculate m. -21, -1, 4 Factor n**5 + 2*n**4 - 47*n**3 + 132*n**2 - 108*n. n*(n - 3)*(n - 2)**2*(n + 9) Determine i so that -2*i**2/5 + 6311432*i/5 - 4979271736328/5 = 0. 1577858 Find w, given that -3*w**5/2 + 1692*w**4 + 18813*w**3 - 22194*w**2 - 37623*w/2 + 20502 = 0. -12, -1, 1, 1139 Factor -4*z**2/3 - 3382*z/3 - 14976. -2*(z + 832)*(2*z + 27)/3 Factor 4*u**2 + 149576*u + 1398311236. 4*(u + 18697)**2 Factor -o**3/5 + 195*o**2. -o**2*(o - 975)/5 Factor -3*s**2/2 - 183*s/2 - 987. -3*(s + 14)*(s + 47)/2 Factor d**2/3 - 2335*d - 77418. (d - 7038)*(d + 33)/3 What is s in 18*s**4/7 + 6476*s**3/7 + 17838*s**2/7 - 612*s = 0? -357, -3, 0, 2/9 Solve -5*a**3 + 76145*a**2 - 289941120*a + 289864980 = 0 for a. 1, 7614 Solve -31*g**5/10 - 19717*g**4/5 - 2513*g**3/10 + 19717*g**2/5 + 1272*g/5 = 0. -1272, -1, -2/31, 0, 1 Suppose -4*v**2 - 65008*v - 264127504 = 0. Calculate v. -8126 Factor 3*i**2/8 - 1900725*i/4 + 1204251841875/8. 3*(i - 633575)**2/8 What is q in 3*q**3/4 + 639*q**2/2 - 11745*q/4 = 0? -435, 0, 9 Factor 8*t**4 + 1188*t**3 - 1191*t**2/2 + 149*t/2. t*(t + 149)*(4*t - 1)**2/2 Suppose -2*u**2/5 + 752*u/5 + 10114/5 = 0. What is u? -13, 389 Factor 2*x**3/9 + 220*x**2/9 + 4672*x/9 - 10240/9. 2*(x - 2)*(x + 32)*(x + 80)/9 Factor p**2/6 + 398*p/3 - 22560. (p - 144)*(p + 940)/6 Factor -3701748964*s**3 + 7403619612*s**2 - 243369*s + 2. -(s - 2)*(60842*s - 1)**2 Suppose 2*n**5 + 127*n**4/2 + 140*n**3 - 2919*n**2 + 6066*n - 2673/2 = 0. Calculate n. -27, -11, 1/4, 3 Find a, given that a**3/4 + 2017*a**2/2 - 4037*a/4 - 4035/2 = 0. -4035, -1, 2 Solve 3*s**3 + 384*s**2 + 381*s = 0 for s. -127, -1, 0 Find c such that 6*c**5 - 19*c**4 - 78*c**3 + 175*c**2 + 228*c = 0. -3, -1, 0, 19/6, 4 Determine l, given that -4*l**2 - 2248*l + 78540 = 0. -595, 33 Suppose n**4 - 174*n**3 + 812*n**2 + 5550*n + 4563 = 0. Calculate n. -3, -1, 9, 169 Let a**5 + 322*a**4 - 2313*a**3 - 3274*a**2 + 5264*a = 0. What is a? -329, -2, 0, 1, 8 Determine u, given that 5*u**4 - 290*u**3 + 3640*u**2 + 24320*u - 460800 = 0. -10, 16, 36 Let q**2/4 - 4237*q/4 - 2119/2 = 0. Calculate q. -1, 4238 Factor 5*d**4 + 94090*d**3 + 442552305*d**2 - 885386900*
{ "pile_set_name": "DM Mathematics" }
/54? 5/54 Which is bigger: 1 or 3/283? 1 Is -1 less than 32/837? True Is -264 bigger than -262? False Which is greater: 2948 or 1? 2948 Is -630 <= -623? True Is -778/5 equal to -157? False Which is bigger: 51 or 1? 51 Is -2/5787 bigger than -2? True Which is bigger: -152 or -1658/11? -1658/11 Are -2/9 and -12/875 non-equal? True Is -5319 bigger than -5322? True Which is greater: -0.721 or -1? -0.721 Which is greater: -55/94 or 0? 0 Which is greater: -516 or 0? 0 Which is greater: -6409/4 or -1602? -1602 Is 3/1057 smaller than -1? False Is -82 smaller than -11? True Which is smaller: 2212 or 2211? 2211 Does 1 = 1.268? False Is -12 bigger than 1333? False Which is smaller: 215 or -0.02? -0.02 Which is bigger: 1861 or 1862? 1862 Which is smaller: 1 or 37/81? 37/81 Is -18 greater than -20? True Is -2594 smaller than -2590? True Is 1 != -3/491? True Which is smaller: -2100/17 or -0.3? -2100/17 Is 84 > -20? True Does -2 = -171? False Which is smaller: 1/4788 or -1? -1 Is 3 at most 1011/10? True Which is greater: -1 or 4/463? 4/463 Do 1817/3 and 607 have different values? True Which is bigger: 19227 or 1/3? 19227 Which is smaller: -3 or 2? -3 Which is greater: -0.0996 or 1? 1 Is 23 < -47? False Is -65 greater than -1253/19? True Which is smaller: -105 or -106? -106 Is -1 <= 3/187? True Is -6338 at least -6337? False Which is greater: 10/21 or -3.7? 10/21 Is -4/525 bigger than -1? True Which is greater: -2/4857 or 1? 1 Which is smaller: 1/17361 or -1? -1 Is -1/2 not equal to 4702? True Which is smaller: -68 or -71? -71 Is -195 greater than or equal to -204? True Which is smaller: 860/133 or 6? 6 Which is greater: -0.3143 or 2? 2 Are 190 and 189 nonequal? True Which is bigger: -824/9 or -91? -91 Is -3 > -504? True Which is bigger: 12 or 10? 12 Which is bigger: 21 or 718/33? 718/33 Are 0 and 1/616 equal? False Is -2/3 less than 10.42? True Is -272 bigger than -271? False Which is smaller: 16/71 or -1? -1 Are -0.086 and -2/7 equal? False Which is smaller: 1 or -613? -613 Is 5418 less than 5418? False Is 0 greater than or equal to -4/313? True Which is bigger: 1/18956 or 0? 1/18956 Is -16 > 23? False Which is greater: -0.44 or 0.083? 0.083 Is 24 >= 164/7? True Which is bigger: -112 or -110? -110 Is -2 not equal to -17/10? True Which is smaller: -4672 or 0.4? -4672 Is 8 equal to -19/3? False Which is smaller: -10 or -7/19? -10 Which is smaller: 13215 or 13216? 13215 Which is bigger: 717 or 698? 717 Is -10/3297 equal to 0? False Which is greater: 147 or -0.02? 147 Which is greater: 2/55 or -39? 2/55 Is -510 less than 2? True Which is bigger: 208 or 212? 212 Is -2507 < -2507? False Is -1688 at most -1687? True Which is smaller: -3/4 or -228.2? -228.2 Is 3712/19 at most -1? False Is 1/865 bigger than 0? True Which is greater: -900 or -901? -900 Is 2 > -889? True Which is greater: 330 or 350? 350 Is -1 greater than or equal to -42/23? True Is 12/1597 at least as big as 0? True Which is greater: 249 or 6? 249 Does -1977 = -1975? False Which is smaller: -392 or -404? -404 Do -2/1213 and 0 have different values? True Is 2 greater than 33/20? True Which is smaller: 176 or 879/5? 879/5 Is 118 less than 113? False Does 20/6681 = 1? False Which is smaller: -1 or -15/2713? -1 Is -2 >= 648? False Which is bigger: 4903 or 4901? 4903 Which is greater: -544 or -543? -543 Which is bigger: 12/7 or -36? 12/7 Which is bigger: -985 or -984? -984 Which is bigger: -50 or 0.05? 0.05 Is 4426 < 4426? False Is 205 greater than 11? True Is 0.33 less than or equal to 181? True Are 57/86 and 0 nonequal? True Which is greater: 16 or -88? 16 Is -4/193 smaller than -5? False Which is greater: 0 or -4/1991? 0 Are 834 and 833 equal? False Is 4 not equal to -1? True Are -2 and -35/47 equal? False Which is smaller: 136/271 or 1? 136/271 Which is smaller: -11399 or -11398? -11399 Which is greater: 1424 or 1420? 1424 Is -520 greater than 0.7? False Is 2/59343 at most as big as 1? True Which is greater: 258 or 255? 258 Which is smaller: -1/154 or 0? -1/154 Which is smaller: 2/6839 or -1? -1 Is -1/21903 >= 0? False Which is greater: -86 or -84? -84 Which is greater: 0 or 4/4441? 4/4441 Is 117/22 at least as big as 4? True Is -2 greater than or equal to -869? True Which is greater: -742/5 or -149? -742/5 Which is bigger: 23/10 or 1? 23/10 Is 14 >= -201? True Which is smaller: -82 or -413/5? -413/5 Does -12/619 = 0? False Is 8 greater than or equal to 702/85? False Is 1 at least 51/31? False Which is bigger: -8 or -16? -8 Which is smaller: -5790 or -5791? -5791 Is -110 at least as big as -435/4? False Is 1403 < 1404? True Are -11 and 12/17 non-equal? True Which is smaller: -366 or -362? -366 Is 0 at least as big as -1/18211? True Which is smaller: 141 or 142? 141 Which is bigger: 62/157 or -1? 62/157 Are -3.8 and 1/2 non-equal? True Is -0.1 less than or equal to -199/46? False Which is smaller: 1 or -16/51? -16/51 Which is smaller: -22 or -25? -25 Does 370 = 369? False Which is smaller: -8 or -854/103? -854/103 Which is bigger: 162 or 168? 168 Are 559/14 and 40 non-equal? True Which is bigger: -0.05 or -1? -0.05 Is 924/5 less than or equal to -0.1? False Are -1/3 and -78 non-equal? True Which is smaller: -1/5508 or 0? -1/5508 Which is greater: 1028 or 5? 1028 Which is smaller: 1365 or 1364? 1364 Which is greater: 1 or 2/2679? 1 Is 1652 < 1650? False Which is bigger: 1 or 9/34? 1 Is 1302 <= 1303? True Which is greater: 0.4 or -710/3? 0.4 Is 0 at least 2609/5? False Does -1 = -7/55? False Which is greater: -548 or -549? -548 Which is smaller: -1594 or -1593? -1594 Is -76/11 equal to -7? False Is 911 bigger than 910? True Which is smaller: -2/5 or -2/9563? -2/5 Are -1 and -1/71 equal? False Which is smaller: -343 or -342? -343 Which is greater: -6/37 or -3? -6/37 Which is smaller: -0.1 or -3/571? -0.1 Is 8104 greater than 8103? True Which is smaller: 0 or 2/169? 0 Is 2/3983 < -1? False Which is bigger: -54 or -53? -53 Is -216 greater than or equal to -216? True Is 25950 <= 25951? True Which is smaller: 1422 or -3? -3 Which is greater: 1/150 or 0? 1/150 Which is bigger: 111 or 0.3? 111 Which is greater: 6/337 or -1? 6/337 Is 214 at most 285? True Are 6/2251 and 0 equal? False Is 1 less than -3/152? False Which is smaller: -243 or -1692/7? -243 Which is smaller: -5/494 or -1? -1 Is -3655 bigger than -3652? False Are 25 and 1788/73 unequal? True Which is greater: -1/28 or 1? 1 Is 29/2 != 4? True Is 2/11281 < -1? False Is -19/41 equal to 0? False Which is greater: -1 or -6/1789? -6/1789 Which is smaller: -907/28 or -31? -907/28 Is -1/5 smaller than -800? False Which is bigger: 18.4 or 13? 18.4 Which is smaller: 1.64 or 1? 1 Which is greater: 0 or 6/149? 6/149 Do 1/50 and -0.171 have different values? True Is -164 at most -241? False Is 0 at least as big as -2/149? True Which is smaller: 9 or -20? -20 Do -224 and -255 have the same value? False Is 16/29 at most 2? True Is 2 smaller than -1? False Is -796 at least as big as -1/5? False Which is greater: -17 or -9? -9 Is 1 less than 4? True Which is smaller: -2/7 or -2/901? -2/7 Is 238 <= 238? True Is -500 at least -4490/9? False Does -814 = -813? False Which is greater: -3458 or -3459? -3458 Which is smaller: -6/47 or -1? -1 Which is smaller: 267/5 or 52? 52 Which is smaller: -5590 or -5589? -5590 Is -5 greater than -20? True Is -72/35 smaller than -3? False Is -1 at least 51/118? False Are -15533 and -15534 equal? False Which is greater: -205 or -190? -190 Is -262 smaller than -8? True Are -5/21 and 1/3 equal? False Is 0 equal to 84/265? False Do -4 and -1 have different values? True Are 365/3 and 123 unequal? True Is -25/17 smaller than -2? False Which is smaller: 20 or -42? -42 Which is smaller: 59 or 1/4? 1/4 Is -429/20 smaller than -22? False Are 111/11 and 9 non-equal? True Is 18 >= 589/34? True Which is bigger: -91 or -134? -91 Which is bigger: -5/22 or 1/2? 1/2 Is 266 less than or equal to 259? False Which is smaller: 21/100 or 1? 21/100 Which is bigger: -19 or -21? -19 Which is greater: -119 or -24? -24 Is 1 > -8124? True Which is greater: -15773 or -15774? -15773 Is -178 smaller than -205? False Which is smaller: -2/19 or -40? -40 Is 2655 < 2653? False Is 1 at most as big as -7/3837? False Is -9/11 not equal to 0? True Which is greater: 0.4 o
{ "pile_set_name": "DM Mathematics" }
ate 3 + (4 - -2) - ((2 - 5) + -4). 16 What is (-3 - 21) + 23 + 19 + 0 + 0? 18 What is the value of 9 + 3 + -3 + -2 + -16 + 0? -9 What is the value of 10 + 8 - -22 - 22? 18 Evaluate 11 - 1 - (-17 - -4 - (-16 + 3)). 10 Evaluate -4 + (1 - -1) + (-167 - -172). 3 Evaluate -28 + (9 - 5) + 25. 1 What is -2 - (-2 - (-26 - -3)) - (261 + -259)? -25 Calculate -8 - ((6 - 2) + (15 - 16)). -11 What is 13 - -3 - (17 - 10 - (3 - -3))? 15 Evaluate 2 + (-3 - (-7 - -11)) + 8 + 3. 6 2 + 6 - (-134 + 147) -5 What is -51 + 61 + (-4 + -18 - 1)? -13 Evaluate -1 + (-27 - -25 - (-2 + 8 - 3)). -6 Evaluate -17 - (-11 + (-3 - -7) - -1). -11 What is -83 + 68 + (-3 - -8) + -15? -25 What is the value of (41 - 35) + (-31 - (-4 - -7))? -28 37 + -5 + -15 - 1 16 What is -27 + 28 + (5 - (-3 + 4)) - 3? 2 Calculate -4 - (-7 + -4 + -7). 14 What is the value of (14 - (3 + -3)) + -2 + 30 + -20? 22 What is the value of -11 - (0 - (-2 - (-3 - 5)))? -5 What is the value of 8 + -28 + 14 + -4 + 2? -8 What is -2 + -24 - -68 - 16? 26 Calculate -1 + (9 - (19 - 6)) - (-1 + -4). 0 Calculate (3 - 6) + -3 - -6 - (5 + 5). -10 What is (2 - -3 - -3) + -19 + 26? 15 Evaluate -39 + 77 + -28 - (10 - 1) - -19. 20 Calculate (-17 - -15) + 23 - 8. 13 Calculate 31 - 53 - (-13 - -5). -14 -15 - (1 + 21 + -43) 6 What is 3 - -1 - (8 + (1 - (16 + -7)))? 4 Calculate 13 + -6 - 7 - -21. 21 18 + (-13 + 1 - (-201 - -194)) 13 (2 - 18) + 494 + -500 -22 What is the value of 19 + (20 - 26) + 1 + -11? 3 (-23 - -42) + -15 + (10 - 1) + 0 13 What is the value of (5 - -4) + -18 - -3 - -20? 14 -7 - -1 - (-8 - 6) - (0 + -2) 10 Evaluate 15 - (-6 + -20 + 18). 23 What is the value of -4 + (-11 + 5 - (4 - (14 - -3)))? 3 Calculate 31 + 1 - (104 + -97). 25 Evaluate 7 + (3 - -1) + (104 - 108). 7 Calculate -31 + 46 - (1 - -3). 11 Calculate 1 + (36 - 16) + -5. 16 Calculate (1 - 1) + (96 - 112). -16 -11 - (-6 - (3 - (-6 + 7) - 3)) -6 What is (4 - -1 - -1) + -143 + 156 + -45? -26 Evaluate 8 + -14 + 5 - 5 - (2 - -5). -13 Calculate 38 + -24 + (-35 - -9). -12 What is 9 + 12 + -15 + (-6 - (0 + -6))? 6 7 - (26 + -14) - -2 -3 Evaluate -2 - -11 - ((-9 - 28) + 65). -19 What is the value of 1 + -8 + 4 + 18? 15 What is -8 - (-16 - -10 - -16 - 15)? -3 Evaluate -12 + 12 + 13 + -3 + -21 + 2. -9 What is 1 - -14 - (70 - 64)? 9 5 + (-17 - -9 - -9) + (4 - 4) 6 5 + 15 + -12 + (1 - 10) + 23 22 Calculate (7 - 1) + -491 + 498. 13 Evaluate 11 - 7 - ((-7 - -13 - 7) + 0). 5 -6 - (8 + 16 - 5) - -10 -15 Calculate 11 + 0 + (-67 - -82). 26 What is -6 - (3 + -2 + 1 + -16 + 14)? -6 What is the value of (1 - 0 - -13) + (-17 - (-27 - -8))? 16 Calculate 15 + 4 + -10 + -16 - (11 + -4). -14 What is the value of (-4 - -27) + -7 - ((8 - 4) + 4)? 8 What is the value of 6 - ((3 - 14 - -22) + 0 + -5)? 0 What is the value of -1 - 3 - (0 - -1)? -5 Evaluate 7 - (-16 + 6 - -5 - -3). 9 What is -12 + 34 + (-22 - -12)? 12 What is the value of (-1 - -10) + -1 + (2 - 13)? -3 Calculate -2 - 13 - (-8 + 5). -12 What is -43 + 10 + (39 - 21)? -15 Evaluate -6 - 3 - (12 + -21 + -19). 19 What is -9 - (2 + 1 + 8 - (19 + -17))? -18 Evaluate (91 - 102 - (0 + 0)) + 11. 0 -1 + -3 + 10 + -11 + 30 + -12 13 Calculate -26 + (5 - 18) + 24. -15 Evaluate (-4 - 15 - -6) + 4 - -12. 3 30 + -90 - (-56 - -16) -20 Calculate 2 - -36 - (737 - 726). 27 34 - -3 - 15 - 18 - -13 17 Calculate -1 + (-2 + -2 - 2) + (-1 - -10). 2 What is 8 + -5 + 6 + (-11 - -11) + -18? -9 Evaluate (-22 - -35) + -1 + -3. 9 -7 - (7 - ((-1 - 4) + 34) - -3) 12 Calculate 34 - (77 - (39 + -19)). -23 What is the value of -92 + 98 + (10 - 0)? 16 Calculate 2 - -15 - 15 - 16. -14 Evaluate -35 + (33 - 18) - -29 - (-1 + 0). 10 (-75 - -77) + (9 + 1 - -1) 13 Evaluate -1 - 12 - (-10 - ((6 - 2) + -9)). -8 Calculate (-11 - (45 - 9) - -11) + 14. -22 Calculate -19 - ((26 - 11) + -25). -9 Evaluate 7 + -27 + 20 - -10. 10 Calculate (-6 - 13) + 1 + 12. -6 Evaluate 28 + (-3 - 27 - -16). 14 Calculate 9 - (1 + 7 + -2 - -2). 1 Evaluate (0 + 1 - (-16 - -14)) + -8 + 22. 17 Evaluate -12 - (7 - -7) - -21. -5 What is -7 + 14 - -3 - 2 - 6 - -4? 6 What is the value of -1 - 7 - (18 - (-23 - -50))? 1 Evaluate 150 + -155 + (-3 + 22 - 0). 14 Calculate 22 + -2 + (-36 - -27). 11 What is the value of -6 - 6 - (4 - 7)? -9 What is -11 - -1 - (-28 + 2 + 15)? 1 Evaluate -9 + -1 + -5 + 4 - -2. -9 Calculate -3 + (-61 - -32 - -37). 5 Evaluate -49 - ((-5 - 42) + 28). -30 What is the value of -9 + 2 + 1 + -4 - (172 - 177)? -5 Calculate (-6 + -2 + 2 + 0 - 2) + 1. -7 Calculate 12 + 9 + (-20 - -8). 9 What is the value of (2 - 19 - 2) + -701 + 760? 40 What is the value of -8 + (10 - -4) - 23? -17 Calculate (-14 - -4 - 5) + 1. -14 Evaluate 17 + 18 + -11 - 9. 15 What is -4 + ((-5 - (7 - 8)) + 7 - -12)? 11 Evaluate 6 + (1 - 44 - -29) - (-1 + -1). -6 What is the value of -4 + 1 + 5 + 1 + -9? -6 What is the value of 21 - (-1 - (-7 + 0) - (16 + -16))? 15 -1 + (17 + -12 + -8 - (4 - 0)) -8 16 + -18 + 16 - (36 + 8) -30 What is the value of (1 - -4 - -8) + (-21 - (-14 + -6))? 12 60 + -75 - (2 + 0) -17 What is the value of 1 + -8 - (5 - (2 + 26 - 2))? 14 What is the value of 4 + 1 + -1 - ((-139 - -58) + 109)? -24 What is -5 - 0 - ((26 - 16) + 10 + 6)? -31 -6 - (4 + (0 - 19) + 8) - -13 14 Calculate (33 - 53) + 29 + 0. 9 Evaluate (-10 - 5) + 30 + -24 + 1. -8 What is -14 - (0 + -3 - 1 - (11 - 15))? -14 Evaluate (-12 - -6) + (-4 - -1) + -2 + 1. -10 Evaluate 1155 + -1157 - (-1 + 1 - 4). 2 What is 12 + -7 + (1 - 11 - -14)? 9 What is the value of 29 + -1 + (139 - 155)? 12 Calculate (-7 - -18) + -26 + 8 - 7. -14 What is 0 + 37 + -13 + -46? -22 What is -6 + -2 - (-20 + (38 - 7))? -19 Calculate 2 + -11 + 9 + -2 + 5. 3 (2 - 28) + (25 - (-28 - -57)) -30 Evaluate 42 + -29 + (-26 - -38). 25 3 - 11 - (-1 + -4) -3 What is -18 + 7 + 0 + 8 - 10? -13 What is 17 + -1 + -23 - (-4 + -2)? -1 Evaluate -2 - (-2 - (-24 - -9) - -6). -21 Evaluate (-7 - ((1 - 2) + -14 + 3)) + -2. 3 Calculate -9 + (-13 - -22) + -8. -8 6 + -56 + 55 + 0 + -5 0 What is the value of -8 + (-20 - (-29 + 9))? -8 What is (-2 - -18 - 39) + (-1 - (-1 + -2))? -21 What is -1 + -1 + 1 + -1 + (-6591 - -6589)? -4 Evaluate -2 - (3 - ((24 - 12) + -9)). -2 What is the value of -2 + 7 + (-7 + 4 - -3 - -3)? 8 -7 + 23 - 12 - (15 + 0) -11 Calculate 10 + (2 + 0 - (43 + -38)) - 10. -3 What is 4 + -15 + -6 + 7 + 0? -10 (1 - (-2 + 0)) + 48 + (10 - 90) -29 Evaluate (-750 - -744) + (36 - 0). 30 Calculate -6 - (19 + -5) - -27. 7 -16 + -3 + 4 + 1 + 3 + -11 -22 Evaluate -4 - 1 - -22 - 7. 10 (27 - (3 - 2)) + -9 - 5 12 Evaluate -3 + 14 + 5 + -12 - -2. 6 (34 - -4) + -23 + (3 - 2) 16 What is the value of (3 - 0) + (4 - (8 + 3))? -4 Evaluate (-1 - -5) + (36 - 45 - 2). -7 Evaluate 27 + -5 + 9 + 1. 32 What is (32 - 21) + -4 + 33? 40 What is -3 + -2 + -7 + -6 + 34 + -3? 13 What is the value of 13 - (16 + -16) - 7? 6 What is -18 + (7 - 12) + 16? -7 What is 55 + -78 - (-16 + 11)? -18 Calculate 21 + (-69 - -30) + 22. 4 23 - 13 - ((7 - 5) + 3 + -1) 6 What is -26 + 17 + -28 + 34? -3 Calculate 31 + (-25 - -51) + -31. 26 What is the value of (20 - -2) + 54 + -39 + -4? 33 What is the value of (5 - 9) + 4 + -6 - (8 + -4)? -10 15 - 2 - ((9 - 3) + (-2 - 2)) 11 What is 1249 - 1185 - (-1 + 29)? 36 What is the value of -191 + 184 + -14 + -1? -22 What is -9 + 0 + 2 + -4? -11 What is 10 - (27 + -12 - 3)? -2 What is the value of 7 - (14 + -20) - 7? 6 Evaluate -18 - (4 + -19) - (-6 + 26). -23 Evaluate (17 - (-17 + (-13 - -74))) + 16. -11 (-1 - (-7 - -24 - 8)) + (-4 - -2) -12 -32 + 65 + -5 + (-2 - -3) + -1 28 Evaluate 19 - (15 - 14 - -39). -21 What is the value of (1 + 0 + 2 - 29) + (-291 - -292)? -25 15 + 10 + (-7 - (15 + -11)) 14 Calculate -8 - (14 + -8) - (-1 + -3). -10 Calculate 0 - (-1 + -7) - (9 + 19 + -24). 4 1 - (3 + -1 - -7) -8 What is the value of 2590 + -2584 - ((0 - -3) + 0 + -1)? 4 What is -14 + 3 - -26 - 15? 0 -4 - (9 - 11) - -11 - 22 -13 -47 - (37 + -62 - 0) -22 What is the value of 0 - (3 + (-12 + 5 - (1 + -5)))? 0 (7 - (11 - 7)) + 3 + (6 - 1) 11 What is -6 - (6 - (-9 + 13) - 1)? -7 Evaluate (6 - -2) + (-343 - -348) + -25 + 1. -11 Calculate 9 - (-17 - -1 - (15 + -7 + -16)). 17 Evaluate -10 - (-56 + 5 + 19). 22 What is the value of -65 + 57 + 3 + -5 + 0? -10 Calculate 26 + (-36 - (25 + -22)). -13 What is the value of 4 + 0 + 2 + -8 + 16? 14 Evaluate -30 + 0 - (158 + -175). -13 Calculate
{ "pile_set_name": "DM Mathematics" }
47 = -284 - 93 for s. 8 Solve 0 = 2291*w - 2329*w - 456 for w. -12 Solve -656*k - 1356 = -147*k + 8315 for k. -19 Solve -861*u + 9911 = -1762*u for u. -11 Solve 628*u + 1310 + 3581 = 1123 for u. -6 Solve 211 = 31*u + 335 for u. -4 Solve -25*f + 125*f + 24*f = -248 for f. -2 Solve 82*w - 924 = 285 + 103 for w. 16 Solve -357 = -135*q - 1032 for q. -5 Solve -816*h + 412*h = -385*h - 76 for h. 4 Solve 98*m - 1298 = -30*m - 5522 for m. -33 Solve 2626 = -12*p + 2614 for p. -1 Solve 10*o + 16 = 4*o - 2*o for o. -2 Solve -877 + 377 = 22*u + 3*u for u. -20 Solve -47*j = -22*j + 6*j + 403 for j. -13 Solve -137*y + 13*y - 15*y = -2641 for y. 19 Solve -18*v = -4*v + 155905 - 155919 for v. 1 Solve 22*v - 29 = 14*v + 67 for v. 12 Solve -5*g - 24*g = -2 - 375 for g. 13 Solve -100*v - 229 = 561 + 310 for v. -11 Solve 34*u - 119 = -17 for u. 3 Solve -915*y + 252*y = -21216 for y. 32 Solve -880 + 919 = 39*w for w. 1 Solve -1814*a - 816 = -1848*a for a. 24 Solve -308*g - 43 + 4047 = 0 for g. 13 Solve 94*b = 80*b + 45*b + 992 for b. -32 Solve -130*d + 5219 - 1709 = 0 for d. 27 Solve -419*g - 3416 = 69*g for g. -7 Solve 958 = -1147*h - 27717 for h. -25 Solve -1185*p - 8043 = -36*p for p. -7 Solve 0 = 63*q - 182 - 7 for q. 3 Solve -483*t - 8126 = 2017 for t. -21 Solve 7*p + 53*p = 77 + 703 for p. 13 Solve 21*i = -36*i - 285 for i. -5 Solve -160*t + 33 - 120 = 73 for t. -1 Solve -127 = 114*w - 9*w + 22*w for w. -1 Solve 140*w - 275*w - 36 = -138*w for w. 12 Solve -29*l - 1338 = -131*l + 294 for l. 16 Solve 716*j = 368*j + 364*j + 176 for j. -11 Solve -150 - 24 = -16*i + 18 for i. 12 Solve -249*t - 95*t = -2064 for t. 6 Solve 159*n - 82*n = 119*n + 882 for n. -21 Solve -1059*b = -1031*b + 532 for b. -19 Solve 98*s + 65*s = -66*s + 2519 for s. 11 Solve -184 - 12 = 41*w + 542 for w. -18 Solve -32495*j + 32528*j + 330 = 0 for j. -10 Solve 8*m = -27 - 21 for m. -6 Solve 18*o - 12*o - 21 = 13*o for o. -3 Solve -2*v + v = -52*v - 204 for v. -4 Solve -94*j + 436 = -388 - 962 for j. 19 Solve -5124*w + 4986*w - 3450 = 0 for w. -25 Solve -279*j + 1594 = -1480 - 553 for j. 13 Solve -26*v - 171 - 151 = -62 for v. -10 Solve 551 = 147*v - 1055 - 452 for v. 14 Solve 39*j = 38*j + 3 - 20 for j. -17 Solve c - 144 = -135 for c. 9 Solve -126*v - 874 = -5032 for v. 33 Solve -37*x - 42 - 24 = -4*x for x. -2 Solve -493 = 1823*q - 1794*q for q. -17 Solve -2173 = -198*m - 7123 for m. -25 Solve 0 = 35*x + 35 + 1304 - 464 for x. -25 Solve -83*z - 752 = 6*z - 40 for z. -8 Solve -420*h + 2604 - 173 + 3029 = 0 for h. 13 Solve 1465720*q + 84 = 1465723*q for q. 28 Solve 238*b - 248*b = 150 for b. -15 Solve -71*f - 88*f = 159*f + 3498 for f. -11 Solve 50 = -6*g + 54*g - 334 for g. 8 Solve -8212*r + 84 = -8198*r for r. 6 Solve 339*x - 82 - 257 = 0 for x. 1 Solve -24 = -23957*a + 23960*a for a. -8 Solve 41*u + 232 = -38*u - 1111 for u. -17 Solve 2335*l = 2754*l - 838 for l. 2 Solve 41*u = -1292 + 800 for u. -12 Solve -8923 = 920*y + 1197 for y. -11 Solve 798 + 17 = 187*w - 307 for w. 6 Solve -4*t = -92*t - 66*t + 1232 for t. 8 Solve 80*f = -84*f + 137*f - 27 for f. -1 Solve -50*v = -145*v - 1805 for v. -19 Solve 161*a = -912 - 537 for a. -9 Solve 128*q + 119*q - 132 = 258*q for q. -12 Solve -38*h + 429 = 10*h - 243 for h. 14 Solve -165*q = -342 - 483 for q. 5 Solve 129*z - 28560 = -891*z for z. 28 Solve 16 = 43*y - 44*y - 4 for y. -20 Solve -362*f + 16 = -354*f + 8 for f. 1 Solve w = -7401 + 7414 for w. 13 Solve 0 = 64*y - 5*y + 55*y - 228 for y. 2 Solve -44124*z = -44168*z - 572 for z. -13 Solve 3 = 7*b + 4*b + 36 for b. -3 Solve 1902 + 1556 = 137*q + 1266 for q. 16 Solve 0 = -45*d + 96 - 276 for d. -4 Solve 3*k - 222410 = -0*k - 222461 for k. -17 Solve 37 = -2043*a + 2006*a for a. -1 Solve -78*m + 25*m = 19 - 602 for m. 11 Solve 163 - 20 = -12*a + 23 for a. -10 Solve -44*n - 312 = 219*n - 107*n for n. -2 Solve 9*x - 56*x = 65*x - 784 for x. 7 Solve 127 - 17 = -94*s + 16 for s. -1 Solve -140*f - 227 = 53 for f. -2 Solve -8*b = 5809 - 5761 for b. -6 Solve 46*a = -11*a + 627 for a. 11 Solve -10310*w + 10303*w = 140 for w. -20 Solve -59 = 167*r - 123*r - 1247 for r. 27 Solve 21*c + 20*c - 525 = -64*c for c. 5 Solve 4064*z = 4100*z - 144 for z. 4 Solve -684 = 45*k - 2079 for k. 31 Solve 12*y + 222 = -25*y for y. -6 Solve 22*g - 17*g + 910 = 96*g for g. 10 Solve 107*w + 526*w - 25 = 608 for w. 1 Solve 0 = -619*z + 736*z + 4212 for z. -36 Solve -559 = -14*w - 587 for w. -2 Solve 72*p + 206 - 876 = 5*p for p. 10 Solve 5*f + 24*f = -6*f + 420 for f. 12 Solve 101 = -31*k + 17 - 40 for k. -4 Solve 12*c + 3*c + 2*c = 6*c for c. 0 Solve -129*f - 157 + 37 = -124*f for f. -24 Solve -129*z - 95 = -231*z + 109 for z. 2 Solve -1065 = -11*l - 1087 for l. -2 Solve 0 = -19*l + 172 + 189 for l. 19 Solve -235*w = -1421 - 5445 + 1696 for w. 22 Solve 2532*q - 2522*q + 70 = 0 for q. -7 Solve 41*z = 214 + 442 for z. 16 Solve -16 = -35*r - 0 + 19 for r. 1 Solve 1109*x + 26630 = -292 + 1415 for x. -23 Solve -42*a + 50 + 610 = -9*a for a. 20 Solve -57*w - 69*w = -378 for w. 3 Solve 0 = -250*o - 152*o - 1861 + 253 for o. -4 Solve 0 = -8354*p + 8503*p - 3278 for p. 22 Solve 331*c = 71*c + 4160 for c. 16 Solve 7*u + 782 = -23*u - 4*u for u. -23 Solve 62*z - 255 = -167 - 584 for z. -8 Solve -17*m - 26*m = -25*m - 54 for m. 3 Solve -2178 = 434*z - 9556 for z. 17 Solve 0 = 5*t - 206*t + 1809 for t. 9 Solve 445 - 2409 - 360 = 166*w for w. -14 Solve 0 = -180*i + 550 + 218 - 228 for i. 3 Solve 8*p = 21*p + 3 - 107 for p. 8 Solve -641*j - 298*j = 708 - 19488 for j. 20 Solve 0 = 36*c + 64 - 2 + 46 for c. -3 Solve -1152 = 43*c + 15*c + 14*c for c. -16 Solve 64*h + 187 + 488 = 91*h for h. 25 Solve -503*r - 4575 = -737 + 5719 for r. -19 Solve 45 - 127 = -40*x + 118 for x. 5 Solve 268*k - 52 + 996 = -932 for k. -7 Solve -10*h - 17*h = 11*h + 456 for h. -12 Solve 17262*l - 17313*l - 561 = 0 for l. -11 Solve 37*a = -31*a - 293 - 727 for a. -15 Solve 1040*k = -108*k + 77*k + 5355 for k. 5 Solve 43*l + 385 = 98*l for l. 7 Solve -1222*u = -787*u + 921*u - 37968 for u. 28 Solve 99*o = 114*o - 39 + 24 for o. 1 Solve 0 = 275*z - 115*z - 3040 for z. 19 Solve 520*f + 3964 = -10823 + 3867 for f. -21 Solve 0*w - 76*w + 817 - 209 = 0 for w. 8 Solve -43*b - 5852 = 149*b + 17*b for b. -28 Solve 52 = 17*m - 356 for m. 24 Solve 23*g = -36*g + 24*g + 420 for g. 12 Solve 333*v + 1444 + 2651 - 432 = 0 for v. -11 Solve 72*h - 5002 = -3706 for h. 18 Solve 0 = -21*x + 5*x - 323 + 99 for x. -14 Solve 0 = -17*s + 1499 - 1295 for s. 12 Solve -26323*h = -26269*h - 702 for h. 13 Solve 406*b + 827 = -7293 for b. -20 Solve 37*m + 87 = 65 + 133 for m. 3 Solve 185*h + 171 = 166*h for h. -9 Solve 684 - 1308 = -165*s + 1521 for s. 13 Solve 135*m = 113*m - 308 for m. -14 Solve -617 = 11*b - 837 for b. 20 Solve -4*w - 651 = -78*w - 19*w for w. 7 Solve -4957*r + 328 = -5285*r for r. -1 Solve 0 = 10*h + 2792 - 2912 for h. 12 Solve 297 = -2277*a + 2304*a for a. 11 Solve 752*s - 267*s = -13580 for s. -28 Solve 35*z + 185 = 13*z - 13 for z. -9 Solve 370*w - 6321 = 2929 for w. 25 Solve 432*c = -294*c + 18150 for c. 25 Solve 32*w + 54*w + 430 = 0 for w. -5 Solve 155*b + 2710 = 169 - 1334 for b. -25 Solve -964*f = -1024*f - 300 for f. -5 Solve -4*l = -58*l + 73 + 629 for l. 13 Solve 126*o = 169*o - 86 for o. 2 Solve 1069*z - 1045*z + 264 = 0 for z. -11 Solve 0 = 75*t - 12897 + 11472 for t. 19 Solve 4*h = 96 - 15 + 19 for h. 25 Solve 54 = 1512*a - 1506*a for a. 9 Solve -14*z - 30 = -2*z - 9*z for z. -10 Solve 24*i + 84 + 204 = 0 for i. -12 Solve -3320 = 20*h - 3160 for h. -8 Solve 0 = -33*y - 104*y - 959 for y. -7 Solve 12*r + 24*r = 102 - 462 for r. -10 Solve -132*h = -h + 18*h + 447 for h. -3 Solve 466*j = 208*j - 2322 for j. -9 Solve -34*g + 5*g = 8*g - 37 for g. 1 Solve -123 + 1611 = -62*w for w. -24 Solve 178 = 5*s + 279 - 206 for s. 21 Solve -114*q - 21 - 823 = -325*q for q. 4 Solve -91*j + 694 - 3177 - 338 = 0 for j. -31 Solve -246*l - 237 + 1755 = -696 for l. 9 Solve 112*w + 4*w + 1848 = -52*w for w. -11 Solve -194*i + 418 = -63*i - 150*i for i. -22 Solve -574*w = -569*w - 35 for w. 7 Solve -8*z = 18591 - 18551 for z. -5 Solve 1146*n + 64 = 1092*n + 1198 for n. 21 Solve 468*a - 693*a = 2475 for a. -11 Solve 26*v + 155 = -11*v + 488 for v. 9 Solve -248 - 5 = 26*j + 33 for j.
{ "pile_set_name": "DM Mathematics" }
4*l + 24. What is -11*c(x) + 6*h(x)? -9*x**3 - 2*x + 23 Let s(g) = 7*g. Let f(z) = 10*z + 5. Let r(w) = -11*w - 4. Let u(m) = 4*f(m) + 5*r(m). Let x be -33*(1/2 - (-1)/6). Let o = x + 28. Give o*u(b) + 13*s(b). b Let t(b) = -b. Let q(o) = -o**2 - o**3 + 42757*o + 1 - 8*o**3 - 42747*o. What is -q(m) - 6*t(m)? 9*m**3 + m**2 - 4*m - 1 Let u(p) = -p**2 - 2*p + 4. Let c(z) = 2*z**2 + 2*z - 3. Let r be 438/34 - (2 - (-432)/(-204)). Suppose -r*f + 11*f = 8. What is f*c(w) - 3*u(w)? -5*w**2 - 2*w Let h(m) = -3*m**3 + 111*m**2 - 6. Let w(p) = -5 - 1 - 37*p**2 + 520124*p**3 - 520123*p**3 + 8. Calculate 6*h(y) + 17*w(y). -y**3 + 37*y**2 - 2 Let d(b) = -4*b**3 - 3*b + 3. Let y be ((-49)/21)/7*1*678. Let k = y - -228. Let t(c) = -c**3 - c. Calculate k*t(v) - d(v). 2*v**3 + v - 3 Let p(v) = 126*v + 21. Let u(r) = -128*r - 25. Calculate -6*p(z) - 5*u(z). -116*z - 1 Let n = 6 + -7. Let f(z) = 5*z**3 - 5*z**2 + 8*z - 6. Let x(s) = 69*s**3 + 4*s**2 + 1 + 3*s**3 - s - 3*s**2 - 73*s**3. Give n*f(w) - 6*x(w). w**3 - w**2 - 2*w Let a(c) = c. Let y be 1*-1 + -22 + 23. Let p(u) = -5*u**2 + y*u**2 - 35*u + u**2 - 3*u**2. What is 35*a(x) + p(x)? -7*x**2 Let a(v) = 125*v + 1825. Let h(o) = 29*o + 421. What is -7*a(w) + 30*h(w)? -5*w - 145 Let h(p) be the second derivative of 248*p**3/3 - 68*p**2 - p - 1364. Let r(v) = 11*v - 3. Determine -6*h(w) + 272*r(w). 16*w Let l(v) = -4*v**3 - 5*v**2 - 4*v + 7. Let x(y) = -6*y**3 - 7*y**2 - 6*y + 10. Let m = -75 + 33. Let o be 2 + 4/(24/m). Determine o*x(c) + 7*l(c). 2*c**3 + 2*c - 1 Let g(y) = 6*y**2 + 4. Let n(a) = -2*a**2 + 42*a - 21. Suppose o - 36 + 15 = 0. Let p be n(o). Let v(x) = -30*x**2 - 21. Calculate p*g(u) - 4*v(u). -6*u**2 Let w(r) = -2*r**2 - 5*r - 5. Let q(z) = 4*z**2 - 6*z + 11. Give 2*q(n) + 5*w(n). -2*n**2 - 37*n - 3 Let u(w) = -7*w**3 - 5*w - 18. Let o(d) = -40 + 3*d + 16 + 4*d**3 + 14 + 4 + 15. Give -5*o(y) - 3*u(y). y**3 + 9 Let z(p) = -p + 1. Suppose 5*w + 0*w = -3*f + 34, -w + f = -2. Let q(k) = 5 - w - 6*k - 4*k + 2 + 2. Determine q(d) - 5*z(d). -5*d - 1 Let s(l) = 15*l + 6. Let i(h) = -14*h - 7. Let v be (54/(-18))/((-27)/36). Determine v*i(w) + 5*s(w). 19*w + 2 Let t(o) = 38*o**2 + 8*o + 7. Let j(f) = -26*f**2 - 9*f - 6. Let b(q) = 3*j(q) + 2*t(q). Let a(z) = 1. Determine 3*a(g) + b(g). -2*g**2 - 11*g - 1 Let q = -397 - -401. Let h(r) = -r**2 + 2*r + 2. Let w(c) = 6*c**2 - 11*c - 11. Suppose 6*z + 92 = 10*z - 2*x, -2*x = z - 18. Determine q*w(f) + z*h(f). 2*f**2 Let o(i) = -1458 - 790*i + 789*i + 1457. Let w(a) = -a**3 + 8*a**2 + 8*a + 6. Give 6*o(v) + w(v). -v**3 + 8*v**2 + 2*v Let t = -8 + 6. Suppose -3*u + 4*w + 1 = 0, 2*w = -5*u - 2*w - 9. Let s(c) = c**3 + c**2 - c - 1. Let f(v) = 5*v**3 + 2*v + 1. Give t*s(p) + u*f(p). -7*p**3 - 2*p**2 + 1 Suppose 10*o - 8*o - 2*v - 14 = 0, -4*v + 8 = -o. Let w(s) = 4 - 33*s + 20*s + o*s. Let m(d) = -9*d + 33. Determine -4*m(n) + 33*w(n). 3*n Let m be 645/25 + -22 + 2/10. Let z(x) = 16*x - 2. Let o(d) = -16*d + 2. Calculate m*o(s) + 3*z(s). -16*s + 2 Let n(a) = -273*a**2 + a - 10. Let d(u) = -819*u**2 + 3*u - 25. Calculate 3*d(r) - 8*n(r). -273*r**2 + r + 5 Let r(g) = 8*g**3 + 18*g**2 + 10*g - 10. Let y(c) = -7*c**3 - 17*c**2 - 8*c + 8. Determine -4*r(u) - 5*y(u). 3*u**3 + 13*u**2 Let v = -4662 - -4665. Let l(t) = 2*t - 3. Let r(c) = c**2 + c - 3. Calculate v*l(n) - 4*r(n). -4*n**2 + 2*n + 3 Let d(o) = -25*o - 48. Let v(q) = -21*q - 40. Let p(y) = -5*d(y) + 6*v(y). Let g(u) = 16*u - 1. Calculate g(i) + 5*p(i). 11*i - 1 Let m(z) = -14*z + 19103*z**2 - 5*z**3 - 19097*z**2 - 6 - 2*z**3. Let v = -23 + 28. Let j(l) = -6*l**3 + 5*l**2 - 13*l - 5. Give v*m(i) - 6*j(i). i**3 + 8*i Let z(j) = 271*j**3 + 6*j + 12700. Let b(s) = -226*s**3 - 5*s - 12701. Calculate -6*b(l) - 5*z(l). l**3 + 12706 Let n(o) = o - 4. Let x(k) be the second derivative of k**3/6 + k**2/2 - 672*k + 2. What is -n(q) + 4*x(q)? 3*q + 8 Let l(p) = -4*p**2 - 2*p + 13. Suppose -2*d + 2*j + 14 = 0, d - 75*j - 13 = -71*j. Let w(h) = 3*h**2 + h - 9. Determine d*l(s) + 7*w(s). s**2 - 3*s + 2 Let y(x) = 514*x + 1464. Let g(j) = 95*j + 293. Determine 11*g(t) - 2*y(t). 17*t + 295 Suppose -3*x - 58 + 39 = b, 5*b = 3*x - 5. Let r(f) = -f + 5. Let l(m) be the second derivative of m**3/3 - 3*m**2 + 20*m. What is b*r(p) - 3*l(p)? -2*p - 2 Let q(a) = -2*a**3 - 4*a**2 + a. Let n(l) = -43*l + 180. Let o be n(-7). Let p = 472 - o. Let r(k) = 8*k**3 + 17*k**2 - 5*k. What is p*q(x) - 2*r(x)? 2*x**3 + 2*x**2 + x Let z(h) = -10359*h + 14. Let i(b) = 10377*b - 17. Give -4*i(y) - 5*z(y). 10287*y - 2 Let g be ((-130)/(-182))/(5/(31 + 4)). Let z(k) = -4*k**3 + 6*k**2 + 6*k - 6. Let w(h) = h**2 + h - 1. What is g*z(c) - 30*w(c)? -20*c**3 Let k(h) = 3*h**3 - 7*h**2 + 7*h - 4. Let i(m) = 8*m**3 - 23*m**2 + 23*m - 13. What is 2*i(w) - 7*k(w)? -5*w**3 + 3*w**2 - 3*w + 2 Let d(t) = -5*t**3 - 4*t - 1. Let c(y) = 2043 - y**3 + 5*y**3 + 3*y - 1026 - 1017. Determine 4*c(r) + 3*d(r). r**3 - 3 Let m(u) = 2*u + 1. Let r(f) = 10 - 8 + 0 + 6*f. Let a = 58 - 58. Suppose -2*s + 7 = 4*v - 3*v, -3*v - 3*s + 15 = a. Give v*r(h) - 8*m(h). 2*h - 2 Let a(d) = -3*d**3 - 3*d**2 + 2*d + 4. Let r = 162 + -164. Let m be (-8)/r*4/(-4). Let w(g) = g**2 - 1. Determine m*w(f) - a(f). 3*f**3 - f**2 - 2*f Let q(p) = 62*p + 88. Let r(a) = -86*a - 133. What is -7*q(b) - 5*r(b)? -4*b + 49 Let p(g) = -70233*g + 140466*g - 70234*g. Let d(v) = 2*v**2 - 15*v - 2. Determine -d(b) + 6*p(b). -2*b**2 + 9*b + 2 Let f be -1 + 2/1 - -9. Let s(g) = 8*g + 12. Let l(c) = 415*c - 414*c + 8 - 1 - 6. Determine f*l(n) - s(n). 2*n - 2 Suppose 0*u = 27*u + 9531. Let n = u - -354. Let q(g) = g**3 + g**2 - g. Let a(k) = -5*k**3 - 2*k**2 + 3*k - 2. Calculate n*a(s) + 3*q(s). -2*s**3 + s**2 - 2 Let y be (30/(-25))/((-1)/5). Let o(n) = 18*n. Let u(h) be the second derivative of 0 + 96*h + 0*h**2 - 1/2*h**3. Give y*o(f) + 34*u(f). 6*f Let t(h) = 11*h**3 + 13*h**2 - 17*h + 17. Let v(n) = -5*n**3 - 6*n**2 + 8*n - 8. Suppose 0 = -82*y + 38*y - 1716. Let g = -45 - y. Give g*t(a) - 13*v(a). -a**3 - 2*a + 2 Suppose 5*y - 3*z + 26 = 0, -1 - 1 = 3*y + 5*z. Suppose 5*m + 165 = 200. Let t(c) = -19*c - 5 + 9*c + m*c + 8. Let k(l) = 2*l - 2. Give y*t(w) - 7*k(w). -2*w + 2 Let g(o) = 5*o**2 + 5*o + 4. Let r(x) be the second derivative of x**4/2 + x**3 + 2*x**2 + 1207*x. Determine -5*g(j) + 4*r(j). -j**2 - j - 4 Let o(g) = 37*g - 37. Let i(t) = -21*t + 19. What is -5*i(b) - 3*o(b)? -6*b + 16 Let q(i) be the third derivative of -i**5/12 - 5*i**4/24 + i**3/6 - 1775*i**2 - 1. Let h(y) = -6*y**2 - 4*y + 1. Calculate 5*h(o) - 4*q(o). -10*o**2 + 1 Let b(d) = 1080*d + 19. Let t(p) = 2162*p + 43. Determine 7*b(a) - 3*t(a). 1074*a + 4 Let u(x) = -22*x**3 - 32*x**2 + 18*x - 10. Let r(t) = 14*t**3 + 21*t**2 - 11*t + 6. What is 8*r(d) + 5*u(d)? 2*d**3 + 8*d**2 + 2*d - 2 Let o(j) = -4*j**2 - 3*j. Let a = 274 - 268. Let t(p) = -6*p**2 - 7*p - p - a*p**2 - p**2 + 2*p**2. What is -8*o(f) + 3*t(f)? -f**2 Let k(c) = 1058*c**3 - 2*c**2 + 10*c - 6. Let v(o) = -2*o**3 - 3*o + 2. What is -k(m) - 3*v(m)? -1052*m**3 + 2*m**2 - m Let k(o) = 7*o**2 + 23*o + 8. Let d be k(-3). Let b(v) = -17*v**3 - 35*v**2. Let w(u) = -4*u**3 - 9*u**2. What is d*b(l) - 9*w(l)? 2*l**3 + 11*l**2 Let o(s) = 3*s**2 - 6*s - 5. Let a(d) = d**2 + 7*d + 1. Determine 10*a(r) + 2*o(r). 16*r**2 + 58*r Let k(v) = -3361*v**2 + 3*v + 15. Let j(g) = -3363*g**2 + 2*g + 10. Determine -3*j(n) + 2*k(n). 3367*n**2 Let b(x) = -16*x. Let r(k) = 8*k - 1. Calculate -2*b(j) - 2*r(j). 16*j + 2 Let b(c) = 7*c - 3. Let i be 5*2/(-5)*(-22)/(0 - 2). Let t(d) = 27*d - 11. Calculate i*b(m) + 6*t(m). 8*m Let t = -3662 - -3655. Let i(l) = -3*l**3 - 4*l**2 - 5*l - 4. Let g(o) = 5*o**3 + 7*o**2 + 10*o + 7. Determine t*i(y) - 4*g(y). y**3 - 5*y Let k(s) = -5918*s**3 - 12*s**2 - 24*s. Let q(x) = 2368*x**3 + 5*x**2 + 10*x. What is -5*k(n) - 12*q(n)? 1174*n**3 Let m(f) be the third derivative of -1/15*f**5 + 7 + 0*f + 0*f**3 - 1/12*f**4 - 16*f**2. Let x(u) = -u**2. Calculate 2*m(n) - 6*x(n). -2*n**2 - 4*n Let u(b) = b**2 - 1. Let c be ((-54)/(-24))/(2/136). Let o be 1 + 2/(-6) + (-255)/c. Let q(j) = 5*j**2 + j - 6. What is o*q(f) + 6*u(f)? f**2 - f Let i(l) = -l**3 - 8*l**2 - 11*l - 11. Let w be i(-6). Let y be (1 - -2) + 17/w. Let n(z) = 2*z**2 + 3*z. Let p(t) = t. What is y*p(s) -
{ "pile_set_name": "DM Mathematics" }
om eaea? 1/2 Four letters picked without replacement from nnnccnc. Give prob of picking 4 n. 1/35 Three letters picked without replacement from {f: 1, s: 8, g: 7, l: 1}. Give prob of picking 1 f, 1 g, and 1 s. 7/85 Four letters picked without replacement from {f: 3, c: 3, q: 2, a: 10, d: 1}. What is prob of picking 2 q and 2 f? 1/1292 Three letters picked without replacement from {z: 5, e: 3}. What is prob of picking 3 z? 5/28 Four letters picked without replacement from cxxcfcxffcfcxc. What is prob of picking 1 c, 1 x, and 2 f? 144/1001 Four letters picked without replacement from kokooaookozkl. Give prob of picking 1 a, 1 l, 1 o, and 1 k. 24/715 Four letters picked without replacement from {z: 4, d: 2, s: 2, q: 2, b: 3}. What is prob of picking 1 b, 2 d, and 1 z? 12/715 What is prob of picking 2 m when two letters picked without replacement from msmffffm? 3/28 Two letters picked without replacement from {v: 5, g: 3, t: 2}. What is prob of picking 1 v and 1 t? 2/9 Three letters picked without replacement from {q: 4, h: 4, l: 1, p: 3, i: 4, v: 4}. What is prob of picking 1 q, 1 h, and 1 p? 4/95 Two letters picked without replacement from ksfjs. Give prob of picking 2 s. 1/10 Three letters picked without replacement from {t: 5, y: 5}. Give prob of picking 1 y and 2 t. 5/12 What is prob of picking 1 a, 1 k, and 1 y when three letters picked without replacement from kykkpkkkkkkakiak? 11/280 Calculate prob of picking 1 e and 1 w when two letters picked without replacement from {a: 1, w: 1, e: 9}. 9/55 Calculate prob of picking 2 u and 1 z when three letters picked without replacement from {z: 1, u: 3, p: 1}. 3/10 What is prob of picking 1 j, 1 k, and 1 q when three letters picked without replacement from {q: 1, x: 1, k: 1, y: 1, j: 1}? 1/10 Two letters picked without replacement from {t: 7, w: 5, e: 2, v: 5}. Give prob of picking 1 t and 1 w. 35/171 Four letters picked without replacement from {e: 4, q: 7}. Give prob of picking 4 e. 1/330 Three letters picked without replacement from {g: 3, t: 1, o: 1, i: 2, a: 1, p: 3}. What is prob of picking 1 a, 1 p, and 1 g? 3/55 Four letters picked without replacement from lcgvvgggmmgvgggvg. Give prob of picking 2 g and 2 v. 54/595 Calculate prob of picking 1 e and 1 c when two letters picked without replacement from {s: 2, e: 1, c: 1, k: 1}. 1/10 Two letters picked without replacement from {t: 1, m: 2, w: 4, o: 3}. Give prob of picking 1 w and 1 m. 8/45 Two letters picked without replacement from {d: 4, g: 5, k: 5}. Give prob of picking 2 d. 6/91 What is prob of picking 1 i and 1 q when two letters picked without replacement from {q: 10, y: 4, i: 1, s: 5}? 1/19 Four letters picked without replacement from avavvv. What is prob of picking 1 v and 3 a? 0 What is prob of picking 2 m when two letters picked without replacement from fbffmpfufypmbyyffb? 1/153 Three letters picked without replacement from {d: 1, e: 6, f: 4, o: 1, x: 1}. What is prob of picking 1 d, 1 e, and 1 f? 12/143 Two letters picked without replacement from {e: 11, u: 2}. Give prob of picking 2 u. 1/78 Two letters picked without replacement from jcziocijg. What is prob of picking 1 j and 1 i? 1/9 Two letters picked without replacement from {g: 7, h: 9}. What is prob of picking 2 g? 7/40 Calculate prob of picking 2 j when two letters picked without replacement from ujujujjjujj. 21/55 What is prob of picking 2 f and 2 i when four letters picked without replacement from {i: 5, b: 6, k: 1, f: 3}? 2/91 What is prob of picking 1 x and 2 u when three letters picked without replacement from xxxxuxu? 1/7 Calculate prob of picking 2 n, 1 r, and 1 k when four letters picked without replacement from lxnnknnnxxrd. 2/99 Two letters picked without replacement from ohoyemh. Give prob of picking 1 e and 1 h. 2/21 Two letters picked without replacement from jmmm. What is prob of picking 1 m and 1 j? 1/2 Three letters picked without replacement from jagannhk. Give prob of picking 1 k, 1 h, and 1 g. 1/56 Two letters picked without replacement from kakgkoakkpkpakkaa. Give prob of picking 1 g and 1 k. 1/17 Two letters picked without replacement from {k: 2, s: 1, f: 1, w: 5}. What is prob of picking 1 f and 1 k? 1/18 Calculate prob of picking 1 v and 1 n when two letters picked without replacement from vnnddvndddndnknndddd. 7/95 Three letters picked without replacement from euwuehuwuew. What is prob of picking 1 h, 1 e, and 1 u? 4/55 Four letters picked without replacement from {g: 2, y: 1, r: 5, b: 7, h: 1}. What is prob of picking 2 b, 1 y, and 1 h? 3/260 What is prob of picking 1 w, 1 a, 1 x, and 1 e when four letters picked without replacement from awaaeaaazapwaxeapaa? 11/969 Three letters picked without replacement from {r: 7, g: 5}. Give prob of picking 3 r. 7/44 What is prob of picking 2 k when two letters picked without replacement from {k: 3, j: 3}? 1/5 Calculate prob of picking 3 n when three letters picked without replacement from nnvqvvqqqqqqvvqn. 1/560 Three letters picked without replacement from {q: 9, a: 3, s: 4}. Give prob of picking 2 q and 1 s. 9/35 Four letters picked without replacement from {r: 2, k: 1, h: 2, d: 5, i: 6}. Give prob of picking 1 h and 3 d. 1/91 Four letters picked without replacement from qqqqquqsqkss. Give prob of picking 3 s and 1 k. 1/495 Calculate prob of picking 1 v and 1 d when two letters picked without replacement from {v: 2, b: 1, x: 1, s: 1, d: 1, r: 1}. 2/21 Two letters picked without replacement from {v: 5, t: 1, g: 6, i: 5, s: 2}. What is prob of picking 1 g and 1 t? 2/57 Calculate prob of picking 2 q and 2 r when four letters picked without replacement from {q: 4, r: 14}. 91/510 Calculate prob of picking 1 u and 3 w when four letters picked without replacement from {u: 6, t: 5, w: 4}. 8/455 Two letters picked without replacement from {u: 14, z: 4}. Give prob of picking 2 u. 91/153 What is prob of picking 1 c and 2 f when three letters picked without replacement from {c: 8, b: 2, f: 4, k: 2}? 3/35 Calculate prob of picking 2 t when two letters picked without replacement from {v: 1, t: 3, i: 1}. 3/10 Two letters picked without replacement from wvvlllwwlvlvll. What is prob of picking 2 w? 3/91 Three letters picked without replacement from ttctttcqqhttthtchc. Give prob of picking 3 h. 1/816 Two letters picked without replacement from awawawwwwwawwwaaww. What is prob of picking 2 a? 5/51 Calculate prob of picking 2 o and 1 t when three letters picked without replacement from {q: 11, o: 7, t: 1}. 7/323 Calculate prob of picking 2 b when two letters picked without replacement from buubbuuuuuuuub. 6/91 Four letters picked without replacement from {b: 1, w: 2, k: 2, j: 2, g: 1, c: 1}. What is prob of picking 2 w, 1 b, and 1 c? 1/126 What is prob of picking 2 k and 2 v when four letters picked without replacement from vkkkkkkvkkkvkkk? 66/455 Three letters picked without replacement from {x: 7, o: 1, i: 5, g: 2, c: 1}. What is prob of picking 1 g and 2 i? 1/28 What is prob of picking 1 e, 2 g, and 1 t when four letters picked without replacement from {g: 7, l: 1, z: 4, e: 1, t: 1, f: 4}? 7/1020 Three letters picked without replacement from {z: 9}. Give prob of picking 3 z. 1 Calculate prob of picking 2 p and 1 o when three letters picked without replacement from {o: 11, p: 5}. 11/56 What is prob of picking 2 w when two letters picked without replacement from owabn? 0 Two letters picked without replacement from {j: 5}. Give prob of picking 2 j. 1 What is prob of picking 2 e and 1 b when three letters picked without replacement from {e: 7, b: 1, x: 7, m: 1}? 3/80 What is prob of picking 1 t, 1 f, and 1 r when three letters picked without replacement from {h: 1, a: 9, g: 1, r: 1, f: 3, t: 3}? 3/272 Three letters picked without replacement from cjjcojc. Give prob of picking 1 o and 2 c. 3/35 What is prob of picking 1 m and 1 z when two letters picked without replacement from mmzcacmczmcmmmzma? 3/17 What is prob of picking 2 t and 2 u when four letters picked without replacement from tqtqtztzuzuqqs? 6/1001 Three letters picked without replacement from zwzwzzwwwzzzzz. Give prob of picking 1 z and 2 w. 45/182 Calculate prob of picking 2 j, 1 y, and 1 k when four letters picked without replacement from {j: 3, g: 1, y: 5, d: 10,
{ "pile_set_name": "DM Mathematics" }
236 minutes after 10:16 PM? 2:12 AM What is 115 minutes before 5:41 PM? 3:46 PM How many minutes are there between 1:39 AM and 11:17 AM? 578 How many minutes are there between 9:06 AM and 10:57 AM? 111 How many minutes are there between 11:08 PM and 4:06 AM? 298 What is 557 minutes after 10:30 AM? 7:47 PM How many minutes are there between 5:05 AM and 2:23 PM? 558 What is 331 minutes before 11:40 PM? 6:09 PM What is 250 minutes before 2:11 AM? 10:01 PM What is 480 minutes after 1:04 PM? 9:04 PM How many minutes are there between 2:07 PM and 2:47 PM? 40 What is 51 minutes before 2:57 AM? 2:06 AM How many minutes are there between 2:24 PM and 6:19 PM? 235 What is 663 minutes after 11:40 PM? 10:43 AM What is 578 minutes after 12:21 PM? 9:59 PM How many minutes are there between 4:05 PM and 8:02 PM? 237 How many minutes are there between 9:10 PM and 7:20 AM? 610 What is 120 minutes after 8:27 PM? 10:27 PM How many minutes are there between 5:41 PM and 11:22 PM? 341 How many minutes are there between 5:09 PM and 6:03 PM? 54 What is 553 minutes after 1:00 PM? 10:13 PM What is 399 minutes before 4:51 PM? 10:12 AM How many minutes are there between 5:51 PM and 10:25 PM? 274 How many minutes are there between 9:55 AM and 6:41 PM? 526 What is 428 minutes before 1:32 AM? 6:24 PM What is 283 minutes before 12:00 AM? 7:17 PM How many minutes are there between 4:28 AM and 3:40 PM? 672 How many minutes are there between 3:09 PM and 1:19 AM? 610 What is 399 minutes before 5:33 AM? 10:54 PM What is 48 minutes after 2:51 AM? 3:39 AM How many minutes are there between 2:08 PM and 12:26 AM? 618 What is 62 minutes after 7:10 AM? 8:12 AM How many minutes are there between 11:17 PM and 3:51 AM? 274 How many minutes are there between 5:31 PM and 3:56 AM? 625 How many minutes are there between 1:21 AM and 6:30 AM? 309 How many minutes are there between 8:05 AM and 11:56 AM? 231 How many minutes are there between 8:25 PM and 9:17 PM? 52 What is 48 minutes before 3:32 PM? 2:44 PM How many minutes are there between 5:09 AM and 11:48 AM? 399 How many minutes are there between 10:59 PM and 8:19 AM? 560 How many minutes are there between 3:37 PM and 1:46 AM? 609 How many minutes are there between 5:57 PM and 12:58 AM? 421 How many minutes are there between 5:41 AM and 3:58 PM? 617 How many minutes are there between 3:59 AM and 4:58 AM? 59 How many minutes are there between 11:55 PM and 4:32 AM? 277 What is 327 minutes after 9:36 AM? 3:03 PM How many minutes are there between 11:45 AM and 10:47 PM? 662 How many minutes are there between 7:56 AM and 12:22 PM? 266 What is 504 minutes after 5:28 PM? 1:52 AM What is 48 minutes before 11:55 PM? 11:07 PM How many minutes are there between 11:08 AM and 6:08 PM? 420 What is 553 minutes before 1:23 AM? 4:10 PM How many minutes are there between 7:17 AM and 9:18 AM? 121 How many minutes are there between 1:28 AM and 9:51 AM? 503 How many minutes are there between 7:45 PM and 6:57 AM? 672 How many minutes are there between 7:04 PM and 2:38 AM? 454 What is 176 minutes before 12:51 PM? 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678 What is 419 minutes before 5:20 AM? 10:21 PM What is 344 minutes after 12:13 AM? 5:57 AM What is 123 minutes before 7:58 AM? 5:55 AM What is 283 minutes before 4:54 AM? 12:11 AM What is 623 minutes before 10:55 PM? 12:32 PM What is 298 minutes before 5:53 PM? 12:55 PM How many minutes are there between 4:14 AM and 3:32 PM? 678 What is 429 minutes before 9:03 PM? 1:54 PM How many minutes are there between 1:55 PM and 7:10 PM? 315 How many minutes are there between 1:22 PM and 10:28 PM? 546 How many minutes are there between 1:13 PM and 11:30 PM? 617 What is 528 minutes after 5:22 PM? 2:10 AM What is 127 minutes before 7:14 PM? 5:07 PM How many minutes are there between 11:51 AM and 9:43 PM? 592 What is 121 minutes before 11:31 PM? 9:30 PM What is 581 minutes before 9:23 AM? 11:42 PM What is 139 minutes before 6:04 AM? 3:45 AM How many minutes are there between 6:23 AM and 10:48 AM? 265 What is 91 minutes after 9:36 AM? 11:07 AM What is 154 minutes before 7:04 PM? 4:30 PM What is 627 minutes after 3:56 AM? 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661 What is 293 minutes before 8:23 PM? 3:30 PM How many minutes are there between 10:41 PM and 7:27 AM? 526 How many minutes are there between 8:55 PM and 7:07 AM? 612 What is 493 minutes after 1:21 PM? 9:34 PM How many minutes are there between 8:32 PM and 5:16 AM? 524 How many minutes are there between 9:42 AM and 8:42 PM? 660 What is 266 minutes after 8:43 PM? 1:09 AM What is 458 minutes after 2:20 AM? 9:58 AM How many minutes are there between 8:34 AM and 7:44 PM? 670 What is 585 minutes before 10:50 PM? 1:05 PM How many minutes are there between 10:22 AM and 7:21 PM? 539 What is 38 minutes before 2:51 AM? 2:13 AM How many minutes are there between 12:54 PM and 11:04 PM? 610 How many minutes are there between 1:05 AM and 2:36 AM? 91 What is 141 minutes after 11:39 PM? 2:00 AM What is 458 minutes after 6:00 AM? 1:38 PM What is 317 minutes after 10:13 AM? 3:30 PM How many minutes are there between 9:08 PM and 5:52 AM? 524 What is 663 minutes after 2:47 PM? 1:50 AM How many minutes ar
{ "pile_set_name": "DM Mathematics" }
-0*f - 4*f, 0 = -5*g + 3*f + 62. Solve -g*a + 27 = -3 for a. 3 Let u be -1 + 3 + 1 + 5. Let o be 2/(4/u*1). Let r = -1 - -4. Solve i = -r*i - o for i. -1 Let c = 54 + -49. Let p be (-9 - -6)*10/(-6). Suppose 0 = -3*u - 0*u - 2*d + 55, 4*u - 78 = -p*d. Solve -c = -4*i - u for i. -3 Let a = -33 + 23. Let s be 2/a + 63/15. Suppose -f + s*r = 2*r, f = 4*r - 4. Solve k = f*k for k. 0 Let p be 10/15 - 424/(-3). Let d = p + -130. Solve -7*v = -3*v - d for v. 3 Let b(a) = 7*a - 1. Let c be b(3). Suppose x + 6 = r - 3*r, 5*r + 28 = 4*x. Solve x*q = -2*q - c for q. -5 Suppose -4*y = 4*r - 8, -7*r = -2*r + 10. Solve 4*o + y*o + 32 = 0 for o. -4 Let q = -7 + -5. Let j be (-6)/q - 70/(-4). Let k = 20 - j. Solve 0*l + l = k for l. 2 Suppose -8*r + 67 = -5. Solve 0 = -7*d + r*d for d. 0 Suppose 0 = 4*d - 13 - 3. Suppose -21 = -2*r - p, 2*p - d*p = 2*r - 18. Let c be ((-30)/4)/((-9)/r). Solve -3*s + c = -s for s. 5 Suppose 8 = -4*x - 32. Let z = 10 + x. Suppose z = 2*d - 6*d. Solve d = -5*m - 4 + 24 for m. 4 Suppose 2*h - 24 = 3*t, -5*t - 41 - 19 = -5*h. Solve s = 4*s - h for s. 4 Suppose -b = -6*b - 55. Suppose 5*r - 72 = -2*t, t + 55 = 2*r + 2*r. Let o = b + r. Solve -y + o = -2*y for y. -3 Let c = 82 + -79. Suppose -p + 1 = p - c*t, t - 9 = -4*p. Solve 0*l + 8 = p*l for l. 4 Suppose -25259 = -100*t - 10459. Solve t*p = 154*p + 6 for p. -1 Let c(x) = -32*x + 420. Let a be c(13). Solve 11 = a*y + 23 for y. -3 Let t = 1725 + -1579. Solve 0 = h - 150 + t for h. 4 Let z(j) = -2*j**3 + 2*j**2 + 4*j - 1. Let d be z(3). Let i = -15 - d. Let r be 45/i*(-8)/(-6). Solve -b + 1 - r = 0 for b. -5 Let h = 2222 + -2249. Suppose 0 = 2*m - 3*b + 18, -3*m - b - 26 = -m. Let f = m - h. Solve -w - 2*w = f for w. -5 Let p(g) = -2*g**3 + 36*g**2 - 3*g + 54. Let z be p(18). Suppose -5*y + 28 + 7 = 0. Suppose 5*x + 2 - y = 0. Solve -w = -x - z for w. 1 Suppose -3*f - 2*x + 9 = 0, 0 = f + 5*x - 3*x + 1. Suppose -5 - 15 = -5*r. Solve r + 6 = f*v for v. 2 Let i(w) be the first derivative of w**3/3 - 21*w**2/2 - 42*w - 19. Let l be i(23). Solve 0 = -l*q + 7 - 3 for q. 1 Let u = 84 + -82. Solve -u*l = -13 + 7 for l. 3 Let u = 1799 - 1789. Solve 0 = u*p + 6*p for p. 0 Let t(b) = -2*b**2 - 5 - 5*b**2 - 4*b + 5*b**2 + 3*b**2. Let k be t(8). Let u = k + -22. Solve -u*v + 4*v = 0 for v. 0 Let h be -1*(-2)/(-4)*(-2 - 18). Let g(p) = p**3 - 11*p**2 + 7*p + 34. Let d be g(h). Solve 0*b + d*b - 16 = 0 for b. 4 Suppose -k = -5*b + 2*k + 15, -4*b - 4*k + 44 = 0. Suppose 54 = 9*l - b*l. Solve -3*i = -3 + l for i. -5 Let j = 19 + -23. Let t be 1*j/((-12)/3). Solve -t = 3*p + 5 for p. -2 Suppose 3*i = 5*i. Suppose 2*v = 4*v + 3*j - 15, -3*v - 5*j = -24. Suppose 0*w - v*w + 18 = i. Solve -c = 3 - w for c. 3 Let c(v) = -v + 3. Let m(x) = -2*x + 10. Let r(w) = -10*c(w) + 3*m(w). Let g be r(5). Let p be (-14)/217 + (-2016)/(-496). Solve g = -0*i - p*i for i. -5 Let m = -1 + 1. Let f(y) = -y**2 - 21*y + 24. Let u be f(-22). Solve m = 3*l - u*l + 2 for l. -2 Let v(u) = 6*u**2 + 2*u - 2. Suppose h - 3 + 2 = 0. Let m be v(h). Solve 4*d = m*d - 2 for d. 1 Suppose -26*f = -19*f. Suppose -u = -f*u - 16. Solve -l = 3*l - u for l. 4 Let r = 695 + -693. Solve 0 = r*p + 4 - 2 for p. -1 Let c(f) = f**3 + 12*f**2 + 12*f + 11. Let r be c(-11). Solve m - 4 = -r for m. 4 Let z = -24 + 29. Suppose 0 = z*m + 5 - 15. Solve 0 = m*u - u - 4 for u. 4 Let b = -126 + 60. Let m be ((-2)/(-4))/((-11)/b). Solve -u = -m*u - 10 for u. -5 Let q be (-7 + (-54)/(-8))/(6/(-240)). Solve 2 = -2*o + q for o. 4 Suppose 3*k - 11 = -5*r, -2*r - 2*k + 0 = -6. Suppose 2*p - 60 = -10*p. Solve p*x + r - 16 = 0 for x. 3 Let l(x) = -x**3 + 28*x + 0*x**3 - 39*x + 16 - 13*x**2. Let q be l(-12). Solve 2*i - q - 2 = 0 for i. 3 Let c = -112 - -188. Solve 0 = 74*x - c*x for x. 0 Let a(w) = w**3 + 12*w**2 + 22*w + 25. Let n be a(-10). Solve 50 - 30 = n*m for m. 4 Suppose c = j - 3*j - 11, j = 2*c - 8. Let g be (93/(-62))/(j/8). Solve -g*w - w + 12 = 0 for w. 4 Let u be (-330)/(-44)*16/6. Suppose 210*o + u = 214*o. Solve o*y = y for y. 0 Let w(a) = -a**2 + 2*a + 2. Let c be w(0). Suppose -z = c, 4*x - 4*z = 12 + 12. Solve 15 = x*v - v for v. 5 Suppose 16*d + 24 = 20*d. Let r be (-5)/(-10)*(0 + d). Solve 0 = r*q - 6 for q. 2 Suppose 0 = 3*i - o - 6, -2*i + o = 1 - 4. Solve i*x + 8 = 8 for x. 0 Suppose 0 = -3*n - 21 + 3. Let v be (16/12)/(n/423). Let z be v/(-18) - (-2)/(-9). Solve -o - z = 4*o for o. -1 Let q(y) = 4*y**2 - 2*y + 1. Let t be q(1). Solve -t = -4*d + 1 for d. 1 Let s(b) = -b**3 - 4*b**2 - 4*b - 1. Let q be s(-3). Let t(y) = -y**3 + 3*y**2 - 2*y - 1. Let l be t(q). Let i be (-18)/3*l/3. Solve i*u - 8 + 0 = 0 for u. 4 Suppose 45 = 86*n - 83*n. Let l = 24 - n. Solve -l = -u - 8 for u. 1 Let f = -569 - -303. Let t be f/(-49) + 3/(-7). Suppose t*p + 10 = 10*p. Solve p = b + 3 for b. -1 Let f be (6/21)/((-4)/(-70)*1). Suppose -4*j + 27 = 3*c - j, -c = 2*j - 13. Let v = 8 - c. Solve 4*x - v = f*x for x. -3 Suppose 3*i = 21 - 0. Let g(v) = -3*v**3 + 8*v**2 + 5*v + 8. Let f(t) = t**3 - t**2 + 1. Let d(r) = -2*f(r) - g(r). Let q be d(i). Solve -8 - q = -4*z for z. 3 Let j be (1 - 18) + (10/5 - 3). Let l be (-10)/(-4) - 2 - 99/j. Let i be (-6)/4*(1 + -3). Solve -15 = i*m - l*m for m. 5 Let r(l) = -l + 8. Let k be r(6). Let m be -6 + (-54)/((-36)/6). Suppose m*s = 3*g - 6, 2*s = -4*g - g + 24. Solve k*x = -s*x + 16 for x. 4 Suppose -4*z + 86 = 22. Solve 4 - z = 6*d for d. -2 Suppose 1 - 17 = -4*h - 5*f, -5*h + 53 = -2*f. Suppose -3*x + h = -0*x. Let a be 36/27*x/2. Solve 0*d - a*d = 0 for d. 0 Let l = -1 + 1. Let v be 3/(-3)*(-2 - -2)/(-5). Let g be -2 - 4/(2/(-2)). Solve l*d + g*d = v for d. 0 Suppose -7 = 3*z + 2, -343 = -4*r + z. Suppose 11*s + 30 - r = 0. Solve 31 - 11 = -s*x for x. -4 Let h(l) be the second derivative of -2*l**3/3 - 19*l**2/2 - 8*l. Let s be h(-9). Let t = -14 + s. Solve t*p = -0*p - 15 for p. -5 Let a(t) = t**2 - t**2 + 8*t**3 - 10*t**2 - 16 + 18*t - 7*t**3. Let v be a(8). Solve v = 5*c + 11 + 9 for c. -4 Suppose -2*w = 3*j - 15, 10*w - 4*j + 9 = 9*w. Solve -w*q = 73 - 88 for q. 5 Let v be -3 - (-6 + -1) - 2. Suppose -m - v*g = 2*g - 53, 0 = 4*m - g - 144. Suppose 2*s - m = a, -4*s - 3*a + 89 = -0*s. Solve -4*y = -9*y - s for y. -4 Suppose -3*u + 43*u - 400 = 0. Solve -u*b - 20 = -6*b for b. -5 Let o(u) = u**2 + 7*u + 3. Let i be o(-9). Let d(p) = 2*p - 35 + 2 + i. Let f be d(6). Solve f = -a - a for a. 0 Let u(o) = 2*o + 3. Let n(b) = 2*b**2 - 4*b + 5. Let l be n(2). Suppose 0 = -5*y + 3*k + 3, -5*y - k + l*k + 4 = 0. Let h be u(y). Solve -h*r = r + 16 for r. -4 Suppose -4*m + 3*c + 2 + 13 = 0, 0 = 5*m + c - 14. Let l be 4/(-18) + 58/18. Let h be 1 + (-6)/l + 4. Solve h*u + m = 18 for u. 5 Let u(b) = 34*b - 192. Let i be u(6). Solve 0 = -11*c + i - 12 for c. 0 Suppose 2*p - 3*p - 9 = 0. Let b be (6/p)/(2/(-3)). Suppose -3*k - 6 = -5*k. Solve -2 = k*t + b for t. -1 Let o be (0 - 1) + (2 - -3). Suppose 2*p + 3*b + 8 = -b, p - o*b - 8 = 0. Solve p = -0*z - 4*z - 4 for z. -1 Let f(r) = -2*r**2 + 37*r - 168. Let g be f(9). Solve g*v = 6*v + 4*v for v. 0 Suppose 30*d - 34*d + 20 = 0. Solve -24 = -d*i + 13*i for i. -3 Let i(n) = n**2 - 23*n + 40. Let o be i(22). Solve 5*t + o = 28 for t. 2 Suppose -n + 0*n + 18 = 3*t, -2*n = t - 11. Suppose 39 = n*f + 3. Let m be (-8)/f*-12*1. Solve -12 = 4*w + m for w. -5 Suppose 3*g = -6 + 24. Suppose -4*f + 11*f = -g*f. Solve 0*b + 3*b - 3 = f for b. 1 Let j be 5/(-3 - -8)*0/(-2). Solve j = -6*r + 24 for r. 4 Let b(s) = -15*s**3 + 3*s + 2. Let z be b(-1). Let o(p) = -3*p + 1. Let d be o(5). Let f = z + d. Solve w = -f*w for w. 0 Suppose 2*f + 55 = 9. Let m = f + 26. Suppose m*k - 4 = 14. Solve 0 = -k*v + v + 20 for v. 4 Suppose 5*t = 4*b + 13, 4*b - 9*b + 15 = 0. Suppose -m + 2 = -x + 5*x, t*m = -5*x + 10. Solve -2*z = -x*z for z. 0 Let m be (-51)/(-6) + (-15)/10. Solve -m*x - 6 = -4*x for x. -2 Let o be (-27)/(-5) - 4/10. Let y be (o - (-9)/(-3)) + 0. Let u be 6*y/(3 + 1). Solve -u*v = -0*v for v. 0 Let y(g) = g**3 + 3*g**2 + 5*g + 6. Let l be y(-4). Let i = 33 + l. Solve -i*n = -1 + 7 for n. -2 Let x = -1 - -4. Suppose -x*o = -2 - 1. Suppose -4*g - 2*y = 3*g - 28, y - 13 = -3*g. Solve o = -c - g for c. -3 Suppose 0 - 121 = -v - 4*n, v - 116 = -3*n. Let l = 105 - v. Solve f = -l*f for f. 0 Let
{ "pile_set_name": "DM Mathematics" }
+ 49 - -43 - 74. -29 Evaluate 6 - 2 - (-484 - -457 - (-24 - 3)). 4 What is -33 + (28 - -25) - (-44 + 3)? 61 Evaluate (-789 - -882) + -46 + -2. 45 Calculate -18 + (-6 - (-6 + -9)) - (2 - -16). -27 Evaluate -16 - (6 - (18 + 11)). 7 What is (-7 + -29 - (-54 + 61 + 0 + -5)) + -4? -42 6 + (7 - 9 - -2) + -29 + (9 - 15) -29 -103 + (-5 - (-121 + 56)) -43 What is the value of -21 - -75 - 114 - -26? -34 What is the value of 140 + -169 + 64 + -19? 16 What is 42 + -26 + -5 - ((-2 - 77) + -3 + 9)? 84 Calculate 43 + -34 + (-8 - -7) + -32. -24 What is the value of -14 + -34 + (-4 - -102)? 50 What is the value of (-1 - -2 - -2) + 132 + -118 + 0 + 9? 26 2 + -22 - ((4 + 1 - -6) + 0 + -1) -30 -3 + 11 - (-14 + (11 - -26)) -15 (-5 - (1 + -2)) + 30 + (-13 - 21) - -5 -3 What is the value of 0 - (-9 - ((-13 - 10) + -18))? -32 Calculate (87 - (176 + -83)) + -67. -73 -13 + -2 - (20 - (59 + -153)) -129 What is the value of -10 + 0 + (-11 - (2 + 11 - 16 - 47))? 29 Calculate -128 + 194 - ((-10 - -5) + 47). 24 What is the value of (-5 + 15 - 23) + 94 + 10? 91 21 + -78 + 112 - -1 56 What is (-12 - (49 - -54) - 12) + (-10 + -3 - -3)? -137 Evaluate -26 + 7 + -5 + 83 + -7. 52 Calculate 7 + 17 + (116 - 107) + 0 + 20. 53 What is the value of -80 - -64 - (-8 + -80)? 72 What is the value of (17 - 2 - (-1 + 2)) + -71 + -211 + 207? -61 What is -35 - (176 + -6 + -110)? -95 What is 179 + -64 + (-4 - 54)? 57 Evaluate 133 + (93 - 8 - 39) + -43. 136 What is the value of -22 + (19 - 16) + -7 + -15? -41 Evaluate (-13 - (-13 + 28 + -2 - 15 - -2)) + 84. 71 What is -2 + -83 + -8 + 40? -53 Evaluate 16 - ((-30 + -5 - -19) + 3). 29 -58 - (-11 + -19 - -13) -41 Evaluate 45 + 1 + (-1 - 22 - (616 + -631)). 38 Evaluate 2 + (19 - 66 - -42). -3 Calculate -12 + (38 - (-21 + 73)) - (1 + -8 - -1). -20 Calculate (3 - 57) + (-50 + -13 - -79). -38 What is the value of (2 - 19) + (-38 + (-7 - (2 - 19)) - -13)? -32 What is the value of 8 + (-22 - (-21 + 29 - 19))? -3 -37 + (92 + -100 - (3 + 2)) -50 Calculate (-1 - -7) + (-103 - 1) + -1 + -1201 + 1209. -91 What is the value of 41 + (-19 - ((24 - -8) + -21))? 11 Calculate (34 - (-113 + 267)) + 2 + 28. -90 Evaluate 3 - 2 - 8 - (219 + (-380 - -229)). -75 (-47 - -6) + 60 - 17 - (-1 - -15) -12 What is the value of 65 + -100 + -21 + 15? -41 What is the value of 6 + (2 - (9 - -13 - 4)) + 57 + -2? 45 87 + -60 + -34 + 67 60 Calculate -1 + 109 + -101 - -121. 128 -147 + 181 + (16 - (-2 + 3)) 49 Calculate -42 - (3 - -31) - -95. 19 What is (-1412 - -1344) + (159 - -2)? 93 Calculate -37 - (-4 + -44) - 19. -8 What is 0 + 12 - (-226 - -260)? -22 Evaluate -8 + (18 - -50) + -7 + (6 - -2). 61 What is the value of (58 + -18 - (-5 + -2)) + (-11 + 8 - 4)? 40 What is the value of (-28 - (1 + 4)) + -7 + (-6 - (-6 - -2))? -42 Calculate (-54 - -40 - -2) + (-2 - -53). 39 What is the value of (10 - (-21 - -36)) + (9 + -3 - -5) - -45? 51 What is (-42 + 67 - 173) + 15 + 21? -112 What is the value of 4 - -36 - (-120 - -127)? 33 Calculate 2437 + -2428 - (5 - (-1 + 0)). 3 What is the value of -81 + (2 - (-16 + 28)) + 16 - (0 + -2)? -73 What is (-8 - 37) + 20 + -8? -33 What is (-12 + 17 + 9 + -4 - (-17 - 56)) + -2? 81 -62 + 105 + -76 + -65 -98 What is the value of (6 - (4 + 9)) + (-56 - (8 + 0)) + -4? -75 Calculate 0 - 5 - ((-34 - 2) + (11 - 0) - 3). 23 Evaluate (-1 - -1) + -4 - (-3511 + 3477). 30 Evaluate -4578 + 4544 - (-2 + 1 - 8). -25 What is (0 + 28 - (-17 + 6 + (-5 - -10))) + -8? 26 What is the value of -35 - -22 - 17 - -30 - 17? -17 Evaluate -161 + -7 + -91 + 179. -80 What is the value of 48 + (-14 + (-5 - -15) + -6 + 0 - -6)? 44 -7 + (6 - 22) - 49 -72 Calculate 7 + 5 + (-2 - -8 - -13). 31 What is the value of 42 - (129 - (112 + -27))? -2 -50 + (-3 - (-3 + -6 + 4 - -4)) - 8 -60 What is the value of (-44 + 34 - -59) + (6 - (16 + -9))? 48 -10728 + 10748 + 2 + -39 -17 Evaluate -74 - -20 - (22 - 105). 29 73 + -58 + (-4 - -71) - 7 75 1 + -13 + -1300 + 1373 61 Calculate -3 + -5 + 37 + -5 + 17 + -3 + -3. 35 Calculate 128 + -130 + 49 + -172. -125 Evaluate 2 + -1 + -9 - (87 + -28 + (16 - 9)). -74 (-7 - -13) + 9 + (5 - (7 + 14 - -21)) -22 Evaluate 52 + -53 - -4 - -11. 14 Evaluate (4 - -14 - (27 - 4)) + -16 + (0 - -1). -20 What is 0 - (0 - 4 - -5) - (-50 - (-113 + 40))? -24 Calculate -7 - (-23 + (8 + 7 - -4 - 13)). 10 Calculate 22 - (-7 + (22 - (38 + -18))). 27 17 + -3 - (4 - (18 - (-18 - -72))) -26 What is 0 + 1 + 63 + (-94 - -29)? -1 Calculate -2 - (21 - 20 - 4) - -53. 54 Evaluate (23 + (-31 - -10) - 71) + 37. -32 -1 + 5 + 0 - (138 + -126) - (-1 - 70) 63 What is the value of -8 - ((15 - (-11 - -48)) + (9 - -2) + -3)? 6 Evaluate -71 + 21 + 18 + (6 - 107). -133 Evaluate (-51 - (-17 - -39)) + 113. 40 -6 + (-7 - (9 - 2 - (18 - (38 + -22)))) -18 -32 + (-1 + 77 - (-1222 - -1202)) 64 Evaluate -39 + (-14 - (54 - 1 - -17)). -123 Calculate -8 - ((-12 + 2 - (8 + (-27 - -2))) + 40). -55 What is the value of 33 + (-35 - -93) + -31 - -21? 81 46 + (-3 - (46 + -35)) 32 Evaluate 3 + -10 + (16 - -5) + -9 + 12. 17 What is the value of 0 + 1 - 77 - ((191 - -241) + -438)? -70 Calculate 93 + 53 + 29 + -94. 81 (-3 - (31 + -22) - -27) + -20 - 6 -11 Calculate 5 + 1 - (-246 - -296 - (-1 - (16 + -2))). -59 Calculate 57 - ((-30 - -66) + -56). 77 Evaluate 1 - 0 - ((10 - 0) + -12) - (-5 - 15). 23 What is the value of -8 + 30 + -55 + 33 + -20? -20 Calculate (-1 + 5 + 3 + -4 - 1 - 10) + -5. -13 What is the value of 9 + (-7 + -19 + 19 - (-3 - 0)) - 65? -60 Calculate 0 + 24 + (-2718 - -2650). -44 What is (78 - (12 + 88)) + (36 - 3)? 11 Evaluate (-5 - (-2 + 1) - (-28 + 21)) + -3. 0 What is 6 + (-40 + -6 + 35 - -13)? 8 What is the value of (44 + 4 - 20 - -3) + (0 - -3)? 34 Calculate -25 + (-77 - -85) + 55. 38 18 + -9 + -31 - ((13 - 21) + 4 + -5) -13 What is the value of (1 - 12) + 51 + (41 - 1) + -36? 44 -8 - (9 + -2 + 2 + 0 + -10 + 14) -21 What is the value of -4 + -2 + (1 + 0 + 9 - 4) + -2? -2 (-6 - 5) + 21 - -29 39 Evaluate -2435 + 2402 - (1 - 74). 40 (-2 - 4) + -23 - (-12 + (4 - -11)) -32 -824 - -783 - (-22 + -3) -16 -3 + 32 - (3 - -3 - (-6 + (-4 - -10))) 23 -7 + (-11 - -7) + 8 + -9 - 3 -15 What is the value of 6 + -2 - (101 - (-113 - -146))? -64 42 - -3 - (-24 - -26) - (8 - 6) 41 Calculate -10 - (28 + -34 + -14) - -57. 67 Calculate -24 - -8 - (172 - 146). -42 What is the value of -6985 + 7110 + 1 + -249? -123 Evaluate 2 + (2 + (-3 - 0) - -54) + (38909 - 38918). 46 12 + (-6 - 1) + -22 - -31 14 What is -10 + (16 - 16) - ((2 - -1) + -5) - -18? 10 -3112 - -3070 - (-1 - (3 - 1)) -39 What is the value of -57 + 1 + -1 - (-25 + 48 + -1 + -26)? -53 Calculate -39 + 5 + -4 - (7 - 37). -8 5 + -3 - -9 - (30 + -45 + 1) 25 Evaluate -4 - 7 - (24 + (-8 - 2 - 3)). -22 (7 + -13 + 19 - (14 + 0)) + -44 -45 (515 - 505) + (0 - 30) + 18 -2 Calculate -2 + (3 - -14) - 2 - (229 - (153 + -65)). -128 Calculate (19 - (12 + -1 + -4)) + (8 + 19 - -63). 102 5 - 8 - (-9 + -4 + (25 - (0 + -9))) -24 Evaluate -3 + -2 + 2 + -4 + 10 + (195 - 140). 58 What is the value of 122 + -109 + -73 + 16 + -9? -53 What is the value of 28 - (-8 + -4 + 17 + 54 + -47)? 16 Calculate 1 + 65 + (283 - 273) + (-16 - 1). 59 What is the value of -31 + 15 - (-87 + 91)? -20 Calculate 9 - (-4 - 0 - -2) - (115 + -41 - 40). -23 What is the value of -3 + (-9 - 4) + -11 + -73 + 39? -61 Calculate 58 + (-159 - -86) - 46. -61 Calculate (-3 + (2 - (-2 + -1)) - 14) + -1966 + 1914. -64 -94 + 57 + 44 - 88 -81 22 - (-9 - -13 - (-23 - -4)) - (-1 - 12) 12 What is 65 + 43 + -68 + (0 - -2) + 2 + -17? 27 Calculate 0 + (27 - 4) - (60 - 0). -37 What is -65 + 2 - (-1773 - -1756)? -46 (-63 - (26 - 13)) + (1 + 13 - 7) -69 -2 - -16 - (-3 - 0 - -9 - (9 - 3)) 14 (-58 - -51 - (10 + (-5 - 12))) + -57 -57 (2 - (53 + 30 - (-3 + -1))) + (-6 - -4) -87 What is (6 - (12 + -2 - -6) - -1) + 88 + -2? 77 -8 - -17 - -2 - (19 - 27) 19 8 + -14 - (-4 + 0) - (-700 - -720) -22 What is the value of -62 - (5 - ((13 - 26) + (-7 - -13)))? -74 What is 23 + -8 + 31 + -34 + 6? 18 What is (69 - (115 - 35)) + 22 + (-1 - (-3 + 3))? 10 What is 4 + (-20 - -12) + 9 + -10 + (-8 - 7)? -20 Calculate -93 + 43 + -148 + 97. -101 What is the value of 100 + 3 + -16 + -15 + -11 + 1? 62 Calculate -14 + -8 + 23 + 12 - (122 - 8). -101 What is the value of -116 - (-31 + 19 + (25 - 6 - 5) + -15)? -103 (-3 - (16 + -6 - 0 - 14)) + (-108 - -13) -94 Calcul
{ "pile_set_name": "DM Mathematics" }
66 Work out 621 * -2. -1242 Product of 1.49 and -121. -180.29 -11 * 10.8 -118.8 Multiply -459 and 0.8. -367.2 Work out 0.28 * -0.57. -0.1596 What is the product of 6 and 432? 2592 Product of 4 and 569. 2276 What is -4 times -0.04? 0.16 Calculate -605*5. -3025 Work out 0.01 * -8.9. -0.089 -8 times -32 256 0.3 * 29 8.7 Work out 20 * 0.3. 6 What is the product of -3 and -0.651? 1.953 12.8 times 0.2 2.56 -16*0.1 -1.6 -3 * 0.44 -1.32 0.2 * 215 43 2067*4 8268 Product of -0.05 and -57. 2.85 What is the product of -0.317 and 3? -0.951 Product of -3 and -343. 1029 Multiply 25 and 0.4. 10 Calculate -1*-0.1329. 0.1329 What is -0.571 times -5? 2.855 0 * -8.47 0 8.148*-0.5 -4.074 What is the product of 1.2 and -61? -73.2 Calculate 1*106. 106 Calculate -27*2.8. -75.6 Calculate -0.046*-0.4. 0.0184 What is 0.1 times -213? -21.3 1*0.5646 0.5646 3*0.16 0.48 What is the product of -48 and 0? 0 -7.92 times 0.3 -2.376 -0.06 times -13 0.78 8 * 0.89 7.12 -0.4 times -29 11.6 Calculate -0.3*-589. 176.7 Work out 887 * 2. 1774 What is 99 times 0.58? 57.42 Calculate 231*-0.3. -69.3 5*29 145 Calculate -1112*-0.3. 333.6 158*0.7 110.6 What is 141 times 0.5? 70.5 -0.089*0.2 -0.0178 Calculate 5987*-0.3. -1796.1 Multiply -0.301 and 0.03. -0.00903 What is 0.07 times 0.4? 0.028 Product of -2484 and -1. 2484 Calculate 0.2*398. 79.6 1 times -96 -96 22662 times -1 -22662 Product of 1342 and 3. 4026 0.1*-2.05 -0.205 What is 104 times -49? -5096 Product of -138 and 5. -690 1 times 477 477 What is 6 times -212? -1272 Multiply 0.47 and -0.127. -0.05969 Product of -0.487 and 1. -0.487 11.139 * 5 55.695 What is the product of 0.8 and 0.52? 0.416 -24 * -21 504 Calculate -1*103. -103 Product of 0 and -91. 0 Product of 3 and -56. -168 Product of -5 and -295.9. 1479.5 Work out -0.15 * 73. -10.95 Work out -1154 * 5. -5770 91*-16 -1456 3.9 * 1 3.9 -0.3*49 -14.7 Calculate 0.74*29. 21.46 What is the product of 3 and -421? -1263 Work out 15 * 4. 60 What is the product of -0.0281 and 5? -0.1405 Calculate 289*-4. -1156 0.11 times -0.44 -0.0484 -1.74*0.2 -0.348 Multiply 8.65 and 0.2. 1.73 Product of -7 and -2.5. 17.5 Calculate -0.02*-173. 3.46 What is 0.5 times -436? -218 What is the product of -116 and -0.2? 23.2 Multiply -0.1 and -14.2. 1.42 Work out -276 * -53. 14628 -29 times -0.77 22.33 0.1 times 0.57 0.057 Product of 294 and 0.09. 26.46 -0.72 times -0.35 0.252 Calculate 3*-1488. -4464 Calculate 79*-0.4. -31.6 Multiply 50.3 and -0.2. -10.06 0.2 * -0.552 -0.1104 -27 * 0.12 -3.24 -3 * -155 465 Calculate -0.4*-5.956. 2.3824 What is the product of 1 and -0.02? -0.02 -0.1*254.5 -25.45 Multiply 0.2 and -30. -6 What is the product of -5 and 146.8? -734 What is the product of -0.929 and 0.3? -0.2787 What is the product of 9.27 and -0.1? -0.927 0.072 times -4 -0.288 What is the product of 1616 and -5? -8080 What is the product of 0.57927 and 0? 0 What is the product of 30216 and -0.1? -3021.6 -0.1*-0.123 0.0123 What is -0.41 times 2? -0.82 What is the product of 0.022 and 0.9? 0.0198 Multiply -0.74 and -3. 2.22 Multiply -0.2 and -981. 196.2 0.83 times -0.4 -0.332 What is the product of 4 and 284? 1136 -0.47 * 0.3 -0.141 What is the product of -18 and 24? -432 Work out -0.4 * -89. 35.6 What is 4 times -21.4? -85.6 Product of 0.1 and 18.4. 1.84 Work out -0.01 * -0.18. 0.0018 -1 * 0.711 -0.711 Work out -646 * 4. -2584 Work out 141 * 0.9. 126.9 Multiply 3054 and -2. -6108 -0.2*-518 103.6 1 times -0.45 -0.45 What is 374 times -2? -748 -49 times 2.5 -122.5 Multiply -9.6 and -0.04. 0.384 Work out -1365 * -0.5. 682.5 Work out 8 * -57. -456 -556*0.1 -55.6 What is -6 times -0.38? 2.28 What is the product of -0.3 and -0.381? 0.1143 -0.5 * -87.4 43.7 Calculate 0.3*-0.024. -0.0072 0.138*-0.5 -0.069 What is 4 times 18.6? 74.4 -1*-102 102 -2*-417 834 0*270 0 Multiply -524 and 16. -8384 Product of -0.08704 and 3. -0.26112 423 * 6 2538 What is 159.8 times 3? 479.4 What is 47 times -0.04? -1.88 Calculate -0.049*25. -1.225 Work out -5 * -9.11. 45.55 Calculate 0.062*4.3. 0.2666 Product of 5 and -8.7. -43.5 What is 5 times 69? 345 0.15 * -0.9 -0.135 0.12*-450 -54 -0.5 * 0.054 -0.027 0.02 times 13 0.26 Multiply 0.3 and -0.64. -0.192 Multiply 1 and -624. -624 What is -211 times 0.3? -63.3 What is the product of -64 and -2? 128 6.293 times -5 -31.465 What is 0.0551 times -2? -0.1102 What is 46.91 times 0.1? 4.691 What is the product of 167 and 3? 501 -0.2*23.7 -4.74 What is the product of 0.361 and 3? 1.083 What is -0.02 times 0.02? -0.0004 420 times -1 -420 -12*-0.06 0.72 Calculate 4*-1250. -5000 Multiply 5 and 20.7. 103.5 What is the product of 38 and 0.01? 0.38 What is the product of -127 and 2? -254 Product of 1.06 and -4. -4.24 701 times 9 6309 Work out 1.8 * -0.03. -0.054 Multiply -0.09 and 0.5. -0.045 0.06*-0.074 -0.00444 Product of 2 and 179. 358 2612 * 0.01 26.12 Product of -3.91 and -5. 19.55 Work out 0.4 * 247. 98.8 What is -0.24 times 4.4? -1.056 Work out -1.9 * -0.19. 0.361 Work out 147 * -5.5. -808.5 What is -73 times -0.3? 21.9 Product of 0.12 and -4.09. -0.4908 What is 0.2 times 267? 53.4 Calculate 0.973*-4. -3.892 -2.75 times 0 0 What is the product of 3 and -131.5? -394.5 -57*0.4 -22.8 Work out -36.3 * -4. 145.2 -30*-26 780 What is -73 times 173? -12629 Work out -305 * -1. 305 -1 times -82 82 Multiply 799 and -1. -799 67 * 6 402 -5 times -5 25 What is the product of -2 and 357? -714 -0.3 * 202 -60.6 Multiply 0.62 and 0.5. 0.31 23.4*33 772.2 0.04 * -9 -0.36 What is the product of -9 and -438? 3942 -2 * -0.31 0.62 -2 times -1325 2650 -5 * -122 610 -0.101 times 0.16 -0.01616 What is the product of -0.05 and -6229? 311.45 What is -68 times 28? -1904 What is the product of -3 and 5914? -17742 What is the product of 8163 and -0.4? -3265.2 What is the product of 0.025 and 17? 0.425 11 * 0.177 1.947 What is the product of 1 and 389? 389 Work out 3021 * -0.3. -906.3 Multiply -3398 and 0. 0 Product of -1.56 and 5. -7.8 Multiply -35 and 3. -105 -391*-26 10166 Product of -0.19 and 7.8. -1.482 What is the product of 0.16 and -26? -4.16 Product of -8316 and 1. -8316 0.8*-0.21 -0.168 1.7 * 31 52.7 What is the product of 0 and -88? 0 9.8*1 9.8 Product of -0.5 and 1024. -512 55 * 2.7 148.5 What is 1 times -0.49? -0.49 Product of 11 and 0.792. 8.712 -1110 * -0.5 555 -0.1 times -4333 433.3 Work out 0.4 * 0.035. 0.014 0.038 * -0.3 -0.0114 34859 * 5 174295 What is the product of 5 and 11.4? 57 0.84*1 0.84 Multiply -1.28 and -0.045. 0.0576 Multiply 145 and -2. -290 Multiply 2.6 and 89. 231.4 0.016*-2.3 -0.0368 0.2 times -43.8 -8.76 -0.4*0.5 -0.2 What is 4245 times 0.2? 849 Work out 0.1 * -55. -5.5 What is 8 times 0.5? 4 What is 4 times 50? 200 What is 0 times -7.9? 0 Calculate 2*312. 624 What is 0.1806 times -2? -0.3612 -965*-2 1930 What is 25 times 9? 225 215*-0.26 -55.9 Work out -116 * -0.009. 1.044 What is the product of -18.06 and -0.4? 7.224 Calculate 0*-648. 0 Multiply 0.2 and 1.38. 0.276 3 * -0.9 -2.7 What is 1145 times 0.1? 114.5 Multiply -2.4 and 114. -273.6 Multiply -1051 and -0.3. 315.3 Multiply 75.9 and 0.5. 37.95 0.2 * 1213 242.6 Product of -2 and 0.0505. -0.101 What is the product of -0.27 and -22? 5.94 What is -54 times 7.9? -426.6 Work out -6 * -0.3951. 2.3706 1.9 times -0.3 -0.57 What is 3.2 times -6? -19.2 What is the product of 1.65 and 3? 4.95 0.46 * -2.75 -1.265 What is the product of -0.3 and -1035? 310.5 Work out -1 * 0.046. -0.046 -8.7 * -0.1 0.87 What is the product of -1654 and 0.1? -165.4 0.2 times 5.5 1.1 Work out 0.31 * -0.5. -0.155 What is the product of -0.2 and 0.0447? -0.00894 Product of -0.0482 and 2.7. -0.13014 Calculate 865*-9. -7785 What is 0.469 times 0? 0 What is the product of 4.827 and 0.1? 0.4827 Product of -38 and 10. -380 -0.032*0.01 -0.00032 Product of 8.162 and 0.5. 4.081 Work out 409 * -0.05. -20.45 Product of -0.2 and 0.00923. -0.001846 -0.2 times 92 -18.4 Work out 0.5 * 0.01243. 0.006215 2.943*0.2 0.5886 What is 1.76 times -0.4? -0.704 -3 * -1444 4332 Multiply 2 and 113.2. 226.4 Calculate -3*-777. 2331 Work out -8 * 0.231. -1.848 Multiply -12 and 3.8. -45.6 Product of 0.007 and -45. -0.315 Multiply -61 and 13. -793 4 * 7273 29092 1.1 times 0.6 0.66 What is the product of -0.1 and -0.0316? 0.00316 Work out 9 * -1. -9 1 times -0.0319 -0.0319 Product of -631 and -1.1. 694.1 Produc
{ "pile_set_name": "DM Mathematics" }
u = u + 2*m + 8. Calculate g(u). 9 Let p = -3001 + 3003. Let h(r) = 3*r**3 - 6*r**2 + 10*r - 4. Give h(p). 16 Let x(j) = 2*j + 53 + 2*j**2 + 49 - 209 + 55 + 56. Calculate x(-2). 8 Let v be -9 - (-4450)/20 - 1/(-2). Let d(l) = -9 - 436*l + v*l + l**2 + 217*l. Give d(7). 5 Suppose 8 = -2*o + 4*o. Let p(i) = 3*i + 8. Let f(x) = -x - 6. Let r(y) = -2*f(y) - p(y). What is r(o)? 0 Let q(h) be the third derivative of h**6/120 - h**5/15 - h**4/4 + 2*h**2 + 80*h + 13. Suppose -6 = o + 7. Let d = o - -18. Give q(d). -5 Let f = -36468 + 36478. Let z(a) = 2*a**2 - 20*a + 3. Calculate z(f). 3 Let q(o) = 4*o**2 - 33*o + 16. Let l(g) = -8*g**2 + 67*g - 32. Let m(k) = 4*l(k) + 9*q(k). Let z be m(7). Let w(d) = 8*d - 12 + d + z - 2*d. Determine w(2). 11 Let b(w) = -74 - 487*w**3 + 966*w**3 + 30*w - 478*w**3 - 14*w**2. Determine b(12). -2 Let i(c) = 7*c - 6. Let j(t) = -8*t + 5. Let l(x) = 7*i(x) + 6*j(x). Let v = -221246 + 221253. What is l(v)? -5 Let p(i) = i**3 + 6*i**2 - 12*i - 1. Let c(d) = 5*d**2 - 15*d + 3. Let w be c(3). Suppose 0 = 4*j - 8, -2*j - 15 - 5 = w*q. Determine p(q). -33 Let r = -69 + 72. Suppose -7 = -2*p - 8*i + 5*i, r*i - 9 = -3*p. Let x(o) = -1 - 5*o + 2*o - 5*o + 4. What is x(p)? -13 Suppose 1 = 2*j + 7, -i - 5*j + 380 = 0. Let p(v) = -5*v + 0 - 800*v**3 + i*v**3 + 404*v**3 + 4*v**2 - 2. Give p(4). -22 Let q(w) be the second derivative of -w**5/20 + w**4/2 - w**3 + 5*w**2/2 + 23*w - 1. Calculate q(4). 13 Let l(x) = 6*x**2 + 2*x - 1. Let j(v) = 5*v**2 + v - 2. Let c(i) = 4*j(i) - 3*l(i). Suppose -3*y + 72 = -0*y. Suppose y = 7*o - o. What is c(o)? 19 Let t(j) be the first derivative of j**3/3 + 4*j**2 + 7*j - 6398. What is t(-6)? -5 Let f be (0 + -2)*(-3 - 2). Suppose 9*j - 25 = 4*j. Suppose -4*t + j = -5*m + 1, m = -t + f. Let g(n) = -n**3 + 7*n**2 - 7*n + 6. Determine g(t). 0 Let k(w) be the third derivative of w**7/5040 - w**6/90 + w**5/2 + 4*w**2 + 3*w. Let o(f) be the third derivative of k(f). Give o(8). 0 Let k(q) = -q**2 - 6*q + 3. Let v be (26/91)/((-1)/(-7)). Suppose -8*r = -v*r + 30. Let n be r - 0/(15/(-5)). What is k(n)? 8 Let w(q) be the first derivative of q**3/3 - 27*q**2 - 169*q - 14609. Give w(57). 2 Let w(g) = 27*g**2 - 18349 + 18357 + 21*g - 28*g**2. Calculate w(21). 8 Let f be ((-15)/(-10))/(6/8). Suppose -2*d + 0*q + 25 = -5*q, 66 = 3*d + f*q. Let v be (-10)/3 - d/30. Let x(b) = b**3 + 3*b**2 - 5*b. Give x(v). 4 Let w(f) = 3*f**2 + 142*f**3 - 6*f**2 + 8 - 26*f - 2*f**2 + 22*f - 141*f**3. What is w(-3)? -52 Let k(b) = 99 - 17*b - 386 + 92 + 96 + 93. What is k(-4)? 62 Let o(t) = 23*t - 80. Let z be o(-3). Let j = z + 149. Let k(r) = -r**2 - 13. What is k(j)? -13 Let s(h) be the second derivative of -h**5/20 - 5*h**4/6 - 7*h**3/6 - 5*h**2/2 - 175*h + 1. Determine s(-7). -103 Let a(h) = h**2 - 15*h + 46. Let r be 6/(-6) + 2/((-7)/(5 - 26)). What is a(r)? -4 Suppose -3*k + 22 = -8. Let n(b) = -b + 12. Let q be n(k). Let r(u) = -5*u**2 + 3*u - u**2 + q*u**3 + 1 - u**3 - 6. What is r(5)? -15 Let d = 133 + -1. Let n = d - 129. Suppose -z + 4*o = 4 + n, -3*o + 29 = 4*z. Let w(m) = -m**2 + 4*m + 7. Calculate w(z). 2 Let q be -1*(-216)/(-15) + 30/(-50). Let v(x) = -11*x - 149. Determine v(q). 16 Let q(u) be the second derivative of 19*u**2 - 7*u + 1/120*u**6 + 0 + 1/4*u**4 + 2/3*u**3 - 3/20*u**5. Let f(z) be the first derivative of q(z). Give f(8). -12 Let k(w) be the third derivative of w**8/6720 + w**6/720 + w**5/60 + w**4/8 - w**3/2 - 56*w**2. Let f(l) be the second derivative of k(l). Calculate f(2). 12 Let g(z) be the first derivative of -z**4/4 - 2*z**3/3 + 7*z**2/2 - z + 1065. Determine g(-3). -13 Let s be 0/(-3 + (4 - 0)). Let v(f) = 5*f**3 - f + 6. Let c(r) = 9*r**3 - 2*r + 13. Let h(g) = -6*c(g) + 11*v(g). What is h(s)? -12 Let f(h) = -8*h**2 - 2*h**3 + 0*h**3 + 247 + 3*h**3 - 254 + 5*h. Calculate f(6). -49 Let x be (40/(-6))/((-2)/6). Suppose -3*u = 3*w + 21, -11 = 4*u - 2*w + 53. Let g = u + x. Let r(v) = -v + 1. What is r(g)? -6 Let m(w) = -17*w**3 + w**2. Let k(g) be the first derivative of g**4/2 - 5*g**3/3 - g**2/2 - 5*g - 53. Let q be k(3). Determine m(q). -16 Let b(x) = -x + 2. Let a = -553 - -611. Suppose -5*r - 2*j + 17 = 0, 59*r + j - 1 = a*r. What is b(r)? -3 Let y(j) be the second derivative of -j**5/60 - j**4/24 - 5*j**3/3 - 111*j**2/2 - 111*j. Let u(t) be the first derivative of y(t). Determine u(0). -10 Let m(b) be the first derivative of 1 - b**2 - 1/3*b**3 - 4*b. Suppose -3*w - 5*h + 5 = 0, -17*w = -22*w - 28*h + 87. Calculate m(w). -19 Let q(d) = d**3 + 28*d**2 - 69*d - 260. Let b be q(-30). Let g(p) = -16*p + 165. What is g(b)? 5 Let l(x) = -26 + 10 + 21 + 40 - 38*x + 16*x + x**2. Give l(23). 68 Let m(x) be the second derivative of 7*x**4/6 + 7*x**3/6 + 3*x**2 + 4*x + 401. What is m(-1)? 13 Suppose -3*x = -5*s + 8, -2*s - s + 4*x - 4 = 0. Let i(r) = 6*r - 4. Let b be i(2). Let j(a) = 5*a + 5*a + 4 - b*a - 3*a. Calculate j(s). 0 Let c be 66/108 + 2/9 - (-38)/228. Let j(n) = 9*n**3 + n**2 - 2*n - 1. Give j(c). 7 Let t be 1 + 14/(0 - -2). Let j(b) be the first derivative of b**2/2 + 8*b - 8151. Calculate j(t). 16 Let x(b) = -9*b + 81. Suppose -22*z + 3041 = 2931. Determine x(z). 36 Let c(n) = 1 + 0*n + 8*n - 61473*n**2 + 61472*n**2. Suppose -4*j = 3 - 19. Suppose -j*r = -5*r + 7. Give c(r). 8 Let t(z) = z**3 - 6*z**2 - z - 1. Let l = 5225 + -5221. What is t(l)? -37 Let a(n) = -10*n - 34. Let f(j) = 5*j + 18. Suppose 0 = u + 19 - 8. Let t(w) = u*f(w) - 6*a(w). Calculate t(-4). -14 Suppose 3*h + 32 = -4*o, -33 + 8 = 5*h + o. Let w(t) = 4*t + 9. Let r be w(h). Let l = r + 6. Let b(k) = 3*k**3 - k**2 - 2*k - 1. Determine b(l). -3 Let n(h) = -h - 10. Let i(a) = a + 6. Let y(l) = -4*i(l) - 3*n(l). Let b be (-46)/8 - 18/(-24). Determine y(b). 11 Suppose -5*a = -2*s - 3*a, -a - 6 = -4*s. Let o(t) = -3*t - 5*t**2 - 5*t + s*t - 7 + 0*t + t**3. Calculate o(6). -7 Let i(c) = -c**3 - 28*c**2 - 21*c + 177. Let w be i(-27). Let p(u) = -u**3 + 16*u**2 - 15*u + 8. Determine p(w). 8 Let w be 2 - (588/28 - (-2 + 2 - -2)). Let c(j) = -j**3 - 18*j**2 - 16*j - 4. Determine c(w). -21 Let j(x) be the second derivative of -x**4/12 + 8*x**3/3 + x**2/2 - 7316*x. Calculate j(8). 65 Let z(x) = -2*x**2 + 15*x - 8. Let s(u) = 8*u**2 - 65*u + 35. Let c(r) = -4*s(r) - 17*z(r). Give c(-3). -1 Let d(o) be the first derivative of -o**4/4 - o**3 + 2*o**2 + 2*o + 1. Let r be d(-4). Let q(c) = c + 1 + c**3 - 15*c**2 + 28*c**2 - 13*c**r. Determine q(-2). -9 Let t(k) be the second derivative of 1/20*k**5 - 7/2*k**2 + 0 - 162*k + 5/6*k**3 + 1/2*k**4. What is t(-5)? -7 Let t(b) be the third derivative of -b**7/2520 - b**6/360 - b**5/15 + b**2. Let o(k) be the third derivative of t(k). Let n = -10145 - -10147. What is o(n)? -6 Let p = -477 - -480. Let n(k) = -k**p + 59 - 2*k**2 - 4*k - 62 + 6*k**2 - k. Calculate n(4). -23 Let m = 39 + -38. Let a be (m + -1 - -2)/((-4)/(-6)). Suppose 2*s + 9 - a = 0. Let u(p) = -p**2 - 2*p + 2. What is u(s)? -1 Let t(w) = 13*w**2 - w - 3. Let a(f) = -2*f - 1. Let p(i) = -a(i) + t(i). Give p(1). 12 Let q(g) = -6*g - 6 + 2*g**2 + 59*g**3 - 14 - 13*g**3 + g**2 - 45*g**3. Give q(-2). -4 Let o(l) = 3*l**2 - 10*l + 10. Let d(u) = 5*u**2 - 20*u + 20. Suppose 3*y = 4*w - 0*y - 28, 4*w - 28 = 5*y. Let v(h) = w*o(h) - 4*d(h). Calculate v(-9). -19 Suppose -4*i - 3 - 21 = 0. Let o(x) = -95*x**3 - 17*x + 94*x**3 - 15*x - 2 - 2 - 7*x**2 + 27*x. Give o(i). -10 Let q be -6*-2*2/(-12). Let g be 2 - 5 - (-3)/(-1). Let h(y) = -y**2 + 6*y - 8. Let w(x) = x**2 - 5*x + 7. Let t(n) = g*w(n) - 5*h(n). Give t(q). -6 Let k(f) be the third derivative of -f**6/120 - 2*f**5/15 - f**4/8 - 4*f**3/3 + 182*f**2. Give k(-8). 16 Let p(v) = -2*v - 1. Let a(q) = -13*q - 66. Let s be a(-6). Suppose -3 + 39 = -s*i. Give p(i). 5 Let o(g) = g**2 + 6*g - 5. Suppose 9*d - 19 = 4*d + 2*c, -2*c - 10 = -2*d. Let i = 0 + 0. Suppose i = -4*r + d*r - 6. Calculate o(r). -5 Suppose -132*x + 55*x - 308 = 0. Let y(s) = -2*s**3 - 7*s**2 - 9*s + 3. Determine y(x). 55 Let p(s) be the first derivative of s**5/120 + 7*s**4/24 + 5*s**3 + 3*s**2/2 - 239. Let c(m) be the third derivative of p(m). Determine c(-3). 4 Suppose 2*b - 7*t - 48 = -12*t, t - 288 = 17*b. Let a(y) = 3*y + 13. Let i(c) = -16*c - 64. Let g(f) = -11*a(f) - 2*i(f). What is g(b)? 1 Let o(m) = 15*m -
{ "pile_set_name": "DM Mathematics" }
64 Let x(c) be the third derivative of 13*c**5/20 - 4493*c**2. Let z(i) = 133*i**2. Give x(z(s)). 689871*s**4 Let f(v) = -v**2. Suppose 5*q - 142 = -117. Let h(a) = -93 + 32 + 30 - q*a**2 + 26. Determine h(f(p)). -5*p**4 - 5 Let g(a) = -3386*a + 2. Let j(b) = 360*b - 8. What is j(g(x))? -1218960*x + 712 Let z(i) = -i**2. Let k(y) be the first derivative of -15 + 0*y - 10*y**2 - 11/12*y**4 + 0*y**3. Let u(h) be the second derivative of k(h). Determine u(z(x)). 22*x**2 Let k(h) = 3*h**2 - h**2 - 5*h**2 - 9*h**2 + 9*h**2. Let v(i) = -840*i**2. Give v(k(x)). -7560*x**4 Let n(o) = -2*o**2 + 4. Let u(t) be the second derivative of 2*t**3 + 73*t - 7. Give n(u(j)). -288*j**2 + 4 Let a(q) = -11*q**2 + 5*q. Let x(b) = 11*b**2 - 4*b. Let g(n) = -4*a(n) - 5*x(n). Let d(v) = -3091*v + 3*v**2 + 3091*v. What is g(d(y))? -99*y**4 Let d(p) be the second derivative of 71*p**4/12 + p. Let q(f) = 18*f**2 - f**2 - 6*f**2 + 0*f**2 - 12*f**2 - 3*f**2. Give q(d(t)). -20164*t**4 Let j(h) = 376*h - 28*h - 28*h - 24*h - 291*h. Let f(z) = z**2 - 5*z + 2. Let s(t) = -t**2 + t - 1. Let w(r) = f(r) + 5*s(r). Determine w(j(o)). -100*o**2 - 3 Let j(f) be the first derivative of 243*f**2/2 - 17. Let v(r) = 28*r - 5*r - 4*r - 8*r - 12*r. What is v(j(w))? -243*w Let l(j) = 3*j - 2. Let p(v) = -4*v + 3. Let q be (-21)/12 + 2/(-8). Let a(d) = q*p(d) - 3*l(d). Let o(k) = -3*k + 2 - 2. Determine o(a(g)). 3*g Let m(p) = -3839*p. Let k(o) = -6*o + 874. What is m(k(x))? 23034*x - 3355286 Let h(d) = 4*d**2. Let u(m) be the first derivative of -m**2/2 - 7*m + 122. Let w(p) = -p - 24. Let r(g) = -4*u(g) + w(g). Give h(r(q)). 36*q**2 + 96*q + 64 Let j(q) = -3135*q - 2. Let x(r) = 447*r. Calculate x(j(v)). -1401345*v - 894 Suppose -4*d + 2*z = 3*z - 3, 0 = -2*d + 5*z + 29. Let j(v) = -2*v - 3*v + d*v. Let w(l) = -l + 4*l - l + 2*l. Determine w(j(q)). -12*q Let u(s) be the third derivative of -7*s**5/15 + 7087*s**2. Let c(r) be the third derivative of 1/24*r**4 + 0*r - 2*r**2 + 0 + 0*r**3. Determine u(c(g)). -28*g**2 Let p(v) = 4*v. Let x(j) = 23*j**2 - 1160*j + 123. Calculate x(p(r)). 368*r**2 - 4640*r + 123 Let t(v) = 35*v**2 + 42*v - 42. Suppose 160 = 9*o + 538. Let x(b) = -b**2 - b + 1. Let n(y) = o*x(y) - t(y). Let k(s) = -47*s**2. What is n(k(p))? 15463*p**4 Let g(y) = -4*y**2. Let o(t) = 17*t + 2 + 18*t - 3 - 33*t - 61*t. What is g(o(z))? -13924*z**2 - 472*z - 4 Let x(j) = 2713703 - 1058*j**2 - 2713703. Let b(v) = -8*v. Calculate x(b(u)). -67712*u**2 Let p(o) = -7234*o. Let b(l) = 744*l**2 - 741*l**2 + 11474*l - 11474*l. Determine b(p(g)). 156992268*g**2 Let b(c) = -20*c. Let d(m) be the third derivative of -151*m**5/60 + 11321*m**2. Calculate d(b(y)). -60400*y**2 Let y(i) be the third derivative of -i**4/24 + 13*i**3/6 - 28*i**2. Let s be y(0). Let q(u) = -s*u**2 - 44*u**2 - u**2. Let b(t) = t. Determine q(b(v)). -58*v**2 Let b(w) be the first derivative of 0*w - 29/2*w**2 - 113. Let a(j) = -3*j. Determine a(b(z)). 87*z Let b(j) = -115874*j. Let f(k) = 19*k. Give f(b(q)). -2201606*q Let z(p) = 141*p - 62*p - 64*p - 3. Let j(t) = 24*t**2. Give j(z(n)). 5400*n**2 - 2160*n + 216 Let z(f) = 26*f - 10. Let g(p) = 125*p - 48. Let v(u) = 5*g(u) - 24*z(u). Let r(l) = 61*l**2 + 93. Determine v(r(x)). 61*x**2 + 93 Let h(r) = 899*r**2 + 3. Let z(o) = -1945*o. Calculate h(z(s)). 3400939475*s**2 + 3 Let k(h) = -2*h + 3*h + 2*h. Let x(c) be the second derivative of c**4/6 - 3*c**3 + 51546*c. Give x(k(p)). 18*p**2 - 54*p Let t(a) = 1110*a**2 - 282*a**2 - 278*a**2 - 279*a**2 - 274*a**2. Let n(b) = 4154*b**2. Determine n(t(c)). 37386*c**4 Let x(u) = u. Let y(l) = -61564722*l**2 - 2*l + 1. Determine y(x(o)). -61564722*o**2 - 2*o + 1 Let h(p) be the third derivative of p**4/24 + 7*p**3/6 - 3*p**2 + 141. Let v(d) = 2*d + 6. Give h(v(k)). 2*k + 13 Suppose -o + 55 = 5*v - 107, 5*o = 4*v - 147. Let n(j) = -4*j + v - 33. Let s(y) = 48*y - 186*y + 48*y + 44*y + 52*y. Calculate s(n(a)). -24*a Suppose -2*v + 3*u + 5 = 2*v, 5*u = 3*v - 1. Let t(p) = 616*p**2 - 309*p**2 - 308*p**v. Let c(h) = -27*h**2 - 2*h. Determine t(c(g)). -729*g**4 - 108*g**3 - 4*g**2 Let x(o) = -1441*o + 16. Let w(m) = -951*m + 11. Let k(h) = -7*w(h) + 5*x(h). Let b(a) = -4*a**2. Give k(b(n)). 2192*n**2 + 3 Let n(s) = 1803*s + 275. Let b(d) = d. Calculate b(n(l)). 1803*l + 275 Let b(l) = -66*l - 5. Let i(v) = 2*v + 4301. Give i(b(r)). -132*r + 4291 Let i(h) = -22*h. Let g(u) = -5586*u. Let v(p) = g(p) - 252*i(p). Let m(s) = -8*s. Determine v(m(b)). 336*b Let l(r) = 374711976*r**2. Let p(j) = 4*j. Calculate l(p(o)). 5995391616*o**2 Let l(g) = -96954*g. Let u(o) = o**2 - 13*o. Calculate u(l(x)). 9400078116*x**2 + 1260402*x Let z(w) = 5*w**2 - 5. Let k(o) = -35*o + 44*o + 5049 - 5048. Calculate z(k(r)). 405*r**2 + 90*r Let l(k) = 552*k**2 - 2*k - k + 3*k - 1098*k**2 + 547*k**2. Let h(q) = 2 - 99*q - q**2 - 2. Calculate l(h(f)). f**4 + 198*f**3 + 9801*f**2 Let y(i) = 494*i**2. Let z(r) = 590*r**2 + 601*r**2 + 599*r**2 - 1782*r**2. Calculate y(z(n)). 31616*n**4 Let u(o) = -17*o**2 - 27*o**2 + 4*o**2. Let y(f) = -253*f**2 + 117*f**2 + 140*f**2. Give u(y(j)). -640*j**4 Let m(p) = 63*p. Let i(n) = -3*n + 14. Let x be i(4). Let o(d) = -43066*d**2 + 5*d + 43068*d**x - 5*d. Calculate m(o(g)). 126*g**2 Let w(a) be the first derivative of 4*a**2 + 136. Let d(p) be the first derivative of -7 + 30 + 3*p**2 - p**2. Give d(w(h)). 32*h Let p(t) be the first derivative of 13*t**2/2 - 85. Let g be 12/(-9)*(-6)/4. Let m(n) = -9*n + g*n + 7*n + n. What is m(p(b))? 13*b Let p(r) = 24*r + 40. Let b(x) = 7568*x. Give b(p(h)). 181632*h + 302720 Let v(s) = -2*s + 95. Suppose 0 = 25*b + 75 - 275. Let n(g) = -7*g - b*g - 12*g - 12*g + 41*g. Give v(n(l)). -4*l + 95 Let v(x) = -x**2. Suppose 0 = -60*n + 58*n + 18. Let g = 12 - n. Let q(p) = -9*p**2 + 4*p**2 - 2*p**2 - g*p**2. What is v(q(m))? -100*m**4 Let z(w) be the first derivative of w**4/6 + 72*w + 29. Let k(v) be the first derivative of z(v). Let m(y) = 93*y + 2. Determine m(k(o)). 186*o**2 + 2 Let p(a) = -a**2. Let z(n) = -2*n**2 + 19047*n + 44. Calculate z(p(b)). -2*b**4 - 19047*b**2 + 44 Let w(y) be the second derivative of 53*y**6/360 - 19*y**3/3 + 7*y. Let g(x) be the second derivative of w(x). Let k(a) = 5*a + 2*a - a - 5*a. What is g(k(m))? 53*m**2 Suppose 6*q + 107 = -109. Let r = 40 + q. Let z(o) = -11*o + r*o + 6*o + 0*o. Let y(m) = 4*m. What is z(y(x))? -4*x Let i(l) = 78935*l. Let j(s) = -297*s**2 + 2*s. Determine i(j(m)). -23443695*m**2 + 157870*m Let y(x) = 2*x**2 - 4*x + 4. Let a(m) = m**2 - m + 1. Let k(d) = 4*a(d) - y(d). Let r be ((-6)/8)/(1/(-4)). Let p(u) = -8*u + r - 3. Determine k(p(t)). 128*t**2 Let d(l) = -2 + l**2 - 5*l**2 + 6*l**2 - l**2. Let q(c) = 40*c**2 - 2. Let k(w) = -d(w) + q(w). Let f(b) = 2*b**2. Determine k(f(m)). 156*m**4 Let r(n) = -2*n**2 + 34*n. Let v(u) = -7254784*u. Determine v(r(d)). 14509568*d**2 - 246662656*d Let a(j) = 122*j - 8*j**2 - 12*j - 110*j. Let h(u) = 27*u**2 + u. Give h(a(p)). 1728*p**4 - 8*p**2 Let z(o) = -4*o. Suppose 0 = -3*b - 5*v + 30, 3*v + v + 12 = 0. Suppose -2*d = 2*c + 10, -b = -2*c - 3*c + 3*d. Let r(y) = 0 + c + 12*y - 13*y. What is r(z(l))? 4*l Let s(u) = 2 - 2 + 20*u. Let v(w) = 8*w + 7. Let p be v(17). Let b(o) = p*o - 69*o - 73*o. Give b(s(h)). 20*h Let p(r) = 49*r. Suppose 0*h + 3*h - 4*b - 10 = 0, 4*h - b - 9 = 0. Suppose 148 = 4*z - 8. Let f(o) = -20*o**2 + z*o**h - 20*o**2. What is p(f(d))? -49*d**2 Let u(t) = -84084358*t. Let v(d) = 2*d. Calculate v(u(y)). -168168716*y Let k = -54839/24 + 2287. Let g(l) be the third derivative of k*l**4 + 1/3*l**3 + 0*l - 20*l**2 + 0. Let q(d) = -2*d. What is g(q(x))? -98*x + 2 Let u(w) = 652*w**2. Let q(o) = -33709*o + 1. Determine q(u(v)). -21978268*v**2 + 1 Let k(n) = 255*n. Let i(s) = 19*s. Let c(d) = -27*i(d) + 2*k(d). Let z(o) = 2*o - 4. Let j be z(3). Let w(t) = -2*t**2 + t**j - 2*t**2. What is w(c(b))? -27*b**2 Let a(m) = 337*m + 4 + 4 - 339*m. Let r(g) = -15*g. What is r(a(f))? 30*f - 120 Let v(d) = 3*d**2. Let z(u) = 206418402*u**2. What is v(z(i))? 127825670052700812*i**4 Let h(q) = -2459 - q - 3*q + 2459. Let d(n) = 2*n. Let j(k) = -9*d(k) - 5*h(k). Let v(w) = -4*w. Calculate v(j(b)). -8*b Suppose -880 = -17*j + 463. Let x(u) = -j*u + u**2 - 84*u - 2*u**2 + 163*u. Let v(l) = -5*l + 22*l +
{ "pile_set_name": "DM Mathematics" }
f y and 10? 90 Let p = -620/17 + 14437/442. Let w = -5561/4 - -1398. Find the common denominator of w and p. 52 Suppose 5*c + 1875 = 450. Let r be -1 + (-1)/((-2)/(-4)). What is the common denominator of (-4)/r*c/(-110) and 17/11? 11 Let d be (-6)/12 - (-3)/2. Suppose 5*p - d = 49. What is the smallest common multiple of p and 11? 110 Let z = 7 - 11. Let y = -11/4 - z. Calculate the common denominator of -7/11 and y. 44 Let t(q) = -q + 10. Let a be t(14). Calculate the smallest common multiple of 14 and 438/24 + 1/a. 126 Let k(t) = -t**3 - 2*t**2 - t. Let q be k(-2). Suppose 1 - q = -y. What is the smallest common multiple of y and 1? 1 Find the common denominator of 6/(-32)*568/24 and 16/5. 80 Let s(q) = -q**2 + 5*q + 1. Let y = 6 - 1. Calculate the least common multiple of s(y) and 10. 10 Let g = 17588/4499 - 1/4499. Find the common denominator of 49/9 and g. 99 Suppose 3*s - 2*c - 9 = -3*c, -4*c - 9 = -3*s. What is the lowest common multiple of 27 and s? 27 Suppose 0 = -4*x + 3*n + 23 + 21, 4*n + 24 = x. Calculate the smallest common multiple of 9 and x. 72 Suppose -4*j + 7*j - 66 = 0. Suppose -4*a + m + 51 = 0, -3*a + 7*m - 5*m + 32 = 0. Calculate the smallest common multiple of a and j. 154 Let r(w) = -w + 5. Let o be 1/(-2)*0/2. Suppose -2*z + 10 = o, -q = 2*q + 5*z - 10. What is the smallest common multiple of r(q) and 8? 40 Let p(t) = -t**3 + 17*t**2 + t - 6. Calculate the least common multiple of p(17) and 5. 55 Let m = 3805 + -38139/10. Find the common denominator of m and 125/6. 30 Let f = 7248/13 + -172769/312. Calculate the common denominator of f and -119/6. 24 Let c(a) = -19*a - a**3 - 12*a**2 - 15 + 0*a**2 + 9*a. Let n be c(-11). Let u = -6 - n. Calculate the least common multiple of 18 and u. 180 Suppose 2*n = -7*f + 2*f + 8, -f - 4*n + 16 = 0. Suppose f = 3*k + 3*u - 5*u - 11, -3*u = 2*k - 3. Calculate the smallest common multiple of k and 1. 3 Let s = -16834 - -336599/20. What is the common denominator of s and -107/14? 140 Let s(m) = 2*m**3 - m**2 + 1. Let o = -19 - -29. Suppose -o = 2*i + 4*k - 34, 5*k = -4*i + 42. What is the least common multiple of i and s(1)? 8 Let d = -1513 - -12087/8. Suppose -3*h + 0*h = 3. Find the common denominator of d and (-2)/22 + h/1. 88 Suppose -2*u + 53 = -g, -u + 1 = -2*u - 5*g. Suppose -6*c = -96 + u. What is the least common multiple of c and 18? 36 Let m = -130461/4 - -35903. Let v = -3313 + m. What is the common denominator of (-1)/(-2 + (-542)/(-134) + -2) and v? 12 Suppose -3*n = -7*n - 72. Let c = -14 - n. Calculate the least common multiple of c and 2. 4 Let g(f) = -f + 7. Let r(p) = -p**2 - 6*p + 6. Let d be r(-6). Let y be g(d). Calculate the common denominator of (-33)/(-2) + y*-2 and -9/4. 4 Let s be (28 - (-1 + -1)) + -2. Suppose -2*h = 2*h - s. Calculate the lowest common multiple of h and 4. 28 Let p = -123633751/154 + 5685543/7. Let k = p + -9408. Find the common denominator of k and 2/(-4) + 53/(-9). 198 Let k = 36371/10 + -3648. Suppose -2*z + 0*z = -2. Suppose -3*b + 4*p - 11 = 0, 0 = -5*b - 2*p - z - 0. Calculate the common denominator of b and k. 10 Let n = -3802179/4 - -945493. Let t = 5076 + n. What is the common denominator of t and -85/8? 8 Suppose -3*n + 21 = 2*t, -5*n + 2*n + 4*t = -3. Let g = n + -7. What is the common denominator of 59/12 and (g - (-38)/(-22))/2? 132 Let b(o) = -o + 14. What is the least common multiple of 18 and b(0)? 126 Suppose 7*c - c - 12 = 0. Suppose 0 = 3*d - 12 - 30. Calculate the smallest common multiple of d and c. 14 Let f be 1/(-126)*-631 + -2. Let x = f - -10/63. What is the common denominator of x and 15? 6 What is the common denominator of -119/6 and (-8*(-7)/504)/((-8)/834)? 12 Let g(u) = -12*u - 1. Let q = 129973/59576 + 1/5416. What is the common denominator of g(-2) and q? 11 Suppose -16*q = -18*q + 12. Calculate the smallest common multiple of q and 6. 6 Let k = -7 + -3. Let s = 16 + k. Calculate the lowest common multiple of 3 and s. 6 Find the common denominator of 13/2 and (-24)/(-12) + 28/18. 18 Let a be 1 - (3*-2)/3. Suppose 0 = -a*o + 4*b + 28, o + 3*b + 65 = 6*o. What is the least common multiple of 6 and o? 48 Let l be 8/(-12) - (-20)/3. Let z = -3 + l. Calculate the least common multiple of z and 4. 12 Let p = 286 + -2297/8. What is the common denominator of p and 25/38? 152 Let b = 84 + -60. What is the lowest common multiple of b and 21? 168 Let f = 14 + -11. Calculate the smallest common multiple of f and 9. 9 Let r(w) = 21*w - 1. Let y(m) = 2*m**2 - m + 16. Let k be y(0). Calculate the lowest common multiple of k/(-6)*54/(-8) and r(1). 180 Let b = 9037/10 + -903. Find the common denominator of 52/3 and b. 30 Let d = 2 + 0. Suppose 2*r + 2*r - 18 = -d*w, w - r = 0. What is the lowest common multiple of 6 and w - 0*(-2)/6? 6 Let g(r) = r**3 + 2*r**2 - 8*r - 6. Calculate the smallest common multiple of g(-3) and 7. 63 Let k = 1 + 1. Let o be 2 - k - (-1 - 3). Suppose -o*n = 3*p - 41, 2*p - 2*n - 18 = -2*p. What is the least common multiple of p and 2? 14 Let t = -44 - -45. Calculate the lowest common multiple of 11 and t. 11 Let j be 3458/(-49) + (2 - 0). Let s = -4009/70 - j. Calculate the common denominator of -28/11 and s. 110 Let l(q) = q**2 - 12*q - 9. Suppose 5 = -f + 14. What is the least common multiple of l(13) and f? 36 Let w(n) be the third derivative of n**5/60 - n**4/8 - 5*n**3/3 + 2*n**2. Let m be w(10). Calculate the common denominator of (-6)/(-10) - 921/m and 53/4. 4 Let c = 586 + -1227/2. What is the common denominator of c and (-2 + (-158)/(-4))/2? 4 Find the common denominator of ((-4)/(24/(-423)))/3 and 2 - (-27)/33 - -1. 22 Suppose -4 = 2*n, -5*n - 11 = 3*s - 1. Suppose s = 4*l - l - 21. Calculate the lowest common multiple of l and 6. 42 Let f = -138871/24 + 5784. What is the common denominator of f and 79/30? 120 Suppose -d = -0*d + 106. Let z = d + 190. Suppose -5*p = 2*f - 33 - 1, -2*p = 4*f - z. What is the lowest common multiple of 2 and f? 22 Let l be (-1)/(-3) - 39230/(-3). Let w = l - 287785/22. Find the common denominator of w and 2/(-10) - 4167/(-360). 88 Let x(n) = -54*n + 12. Let b(y) = 9*y - 2. Let r(p) = 34*b(p) + 6*x(p). Let d be r(-3). Let u = d - 93. What is the common denominator of u and -48/5? 5 Let j be 0 + 6 - 3 - -1. Suppose -3*d + 8*d - 120 = 5*v, j*v = -2*d + 36. Calculate the smallest common multiple of 4 and d. 44 Suppose -4*c + 3*c - 4 = 0. Let z(b) = 466*b - 2. Let u be z(c). What is the common denominator of -53/4 and u/120 - 1/5? 4 Let s = -104185/12 - -8688. Find the common denominator of -89/6 and s. 12 Let b = 1/826 + 10118/413. What is the common denominator of 111/100 and b? 100 Let v = 187 + -183. Let l = 27 - 13. Calculate the lowest common multiple of l and v. 28 Let l(m) = -30*m - 21. Let j(i) = 6*i + 4. Let z(y) = 21*j(y) + 4*l(y). Calculate the lowest common multiple of 16 and z(2). 48 Let h(o) = -o - 4. Let i(g) = -3*g - 11. Let f(u) = 8*h(u) - 3*i(u). Calculate the least common multiple of f(7) and 6. 24 Suppose 3*a - 22 = 2*a + 4*y, 0 = 5*y + 5. What is the lowest common multiple of 18 and a? 18 Let w = -155803598/2242627 + 2/118033. Let i = 24899/380 + w. Find the common denominator of -59/10 and i. 20 Suppose 2*w + 5*b = 12, 5*b - 6 = 5*w - 1. Let h be 211 + -2 + w - -2. Find the common denominator of (-2 + 1)/((-88)/h) and -85/2. 22 Let b(r) = 20*r - 22. What is the smallest common multiple of b(5) and 8? 312 Let u be -3*(14/(-6) - -1). Suppose -u*j - 90 = -9*j. What is the least common multiple of j and 8? 72 Suppose -28*v + 27*v = -44. Calculate the common denominator of v and 33. 1 Let a(h) = h**2 + 8*h + 9. Let z be a(-6). What is the least common multiple of 1 - (z - (-1 + 1)) and 7? 28 Let a = 938 - 6590/7. Find the common denominator of a and 179/(-20) - (-2)/(-8). 35 Let w(r) = -5*r + 1. Let c be w(-1). Suppose -c*v + 4 = -2*v. Suppose t - 17 = -4*u, -t - 4*u - 3 = -4*t. Calculate the smallest common multiple of v and t. 5 Suppose -175 + 30 = -5*y. Suppose 2*c + 14 - 48 = -x, -c + y = x. Calculate the common denominator of x/(-10)*(-66)/96 and 119/20. 20 Suppose 92 = 5*i + 3*j, -3*j - 3 = -i + 1. Suppose 29 - 71 = -3*s. What is the smallest common multiple of i and s? 112 Let j(s) = s**2 + 6*s + 7. Let p be j(-5). Suppose 8 = -4*o,
{ "pile_set_name": "DM Mathematics" }
st 10000? 70000 Let y = -82 - -89.6. Let p = y - 7.60000057. Round p to seven dps. -0.0000006 Let d = -2532.95 + 2465. Let v = -6.55 - d. Let k = v + -53. What is k rounded to the nearest integer? 8 Let b = -14.06766 + 31.06795. Let j = -17 + b. Round j to four decimal places. 0.0003 Suppose -4*y + 11 = -l, 12 = 2*y + 2*y. Let g be 1 + 1409998 - 1*(0 - l). Round g to the nearest one hundred thousand. 1400000 Let w(o) = 55922*o**3 - 6*o**2 + 9*o + 4. Let t be w(5). Let y = t + -21990149. Round y to the nearest 1000000. -15000000 Let n(x) = -3 - 2*x**2 + 5 - 1 + x**2 - 1064381*x**3 - x. Let p be n(1). Let i = p + 564382. What is i rounded to the nearest one million? -1000000 Let h = -1.571262 - -1.5002. Let w = h - -0.071. What is w rounded to five decimal places? -0.00006 Let i = 16.425 - 13.67. Let w = i - 0.055. Let c = 2.70000044 - w. What is c rounded to seven decimal places? 0.0000004 Let v = 79 - 111. Let s = v + 31.99999983. Round s to seven dps. -0.0000002 Let k = -0.501 + -351.499. Let a = k - -352.191. Round a to two dps. 0.19 Let x = -51.04 - -0.04. Let i = -51.000058 - x. What is i rounded to five decimal places? -0.00006 Let b = -339.999847 + 340. Round b to 4 decimal places. 0.0002 Let i = -15.88 + -0.42. Let t = i + 16. Let s = -0.30000008 - t. Round s to 7 decimal places. -0.0000001 Let h = -2182 - -2181.99993386. What is h rounded to 5 decimal places? -0.00007 Let b = 16906836 - 16906850.000029. Let v = b - -14. Round v to five dps. -0.00003 Let h = -1.143 - -3.188. What is h rounded to one dp? 2 Let p be (-9)/(3*(-4)/36). Suppose a - p + 111 = 0. Let y be (-24)/a - 1645002/7. What is y rounded to the nearest ten thousand? -240000 Suppose -4*l = -j + 3226 + 2532, 3*j - 5*l - 17274 = 0. What is j rounded to the nearest one hundred? 5800 Let r = 9.95 - 8.708. Let h = r + 0.078. Round h to 1 dp. 1.3 Let s = -6841050 + 10060050. Round s to the nearest 100000. 3200000 Let v(k) = k**3 - 25*k**2 - 263*k - 7. Let r be v(33). Suppose -4*m - 34095 - 142689 = 0. Let h be m/r - (-6)/(-39). What is h rounded to the nearest 100? -1700 Let q = 986 + -1059.16. Round q to 0 decimal places. -73 Suppose -4*f + 7*a + 16080000 = 2*a, 5*f = 4*a + 20100000. What is f rounded to the nearest 1000000? 4000000 Let u(d) be the first derivative of -2143*d**2/2 + 19*d - 28. Let b be u(3). Round b to the nearest one thousand. -6000 Let m(s) = s**2 - 3*s + s**2 + 2 + 28143*s**3 + 103856*s**3. Let t be m(1). Suppose 5*b + t = b. What is b rounded to the nearest 10000? -30000 Let m = -1639 + 1817.4. Round m to the nearest ten. 180 Let l(c) be the third derivative of 0*c + 0 - 4*c**2 - 4/3*c**3 - 654167/8*c**4. Let s be l(-8). What is s rounded to the nearest one million? 16000000 Let m = -144 + 53. Let n = 46 - m. Let x = -137.00057 + n. Round x to four decimal places. -0.0006 Let h = 152.09999456 + -152.1. What is h rounded to 6 dps? -0.000005 Let n = 22 + 7. Let g = n - 29.0000352. Round g to 6 decimal places. -0.000035 Suppose 2*d - 68 = -4*x + 5*d, -x = 2*d - 28. Let v be (-12)/15 - (-122516)/x. Let q be (v*64)/(4/(-10)). Round q to the nearest 100000. -1000000 Let c(j) = -j**2 - 3*j + 3. Let i be c(-3). Let f = -47 + 49. Let u be (f - i)*-3 - 6. What is u rounded to the nearest ten? 0 Let m = -0.05197 + 0.0519704613. Round m to 7 decimal places. 0.0000005 Let f be (-16)/(-56) - 5/((-35)/(-11902)). What is f rounded to the nearest ten? -1700 Let q = -0.099195 + 0.096. What is q rounded to 4 decimal places? -0.0032 Let g be 4/7 + 2525364/(-126). What is g rounded to the nearest one thousand? -20000 Suppose 4*l = 3*v - 4711564, 5*v + 4*l - 4530791 - 3321773 = 0. Let u = v - -1839484. Round u to the nearest 100000. 3400000 Let h = -56661491 - -56661503.9999846. Let d = 0.2 + 12.8. Let r = h - d. What is r rounded to 6 decimal places? -0.000015 Let u = 35 + -44.64. Round u to 0 dps. -10 Let q = 63.85 - 64. Let x = -0.1500155 - q. What is x rounded to six decimal places? -0.000016 Let i = 30 - 27.2. Let s = 2 - i. Let g = 0.815 + s. Round g to two decimal places. 0.02 Let g = -71 - -68.03. Let w = -0.119 + 2.119. Let s = w + g. Round s to one decimal place. -1 Let l = 123.305 - 0.305. Let c = 123.000192 - l. Round c to 4 dps. 0.0002 Let t be ((-518050)/(-39))/(6/36). What is t rounded to the nearest one thousand? 80000 Let f(q) be the third derivative of 17*q**6/10 - q**4/2 - 4*q**3/3 - 15*q**2. Let l be f(-6). What is l rounded to the nearest 10000? -40000 Let i = 287.645 - -0.355. Let l = -287.543 + i. What is l rounded to two dps? 0.46 Let t = -75.33 - -0.33. Let r = 78.8 + t. Round r to zero decimal places. 4 Let o = -1555.81607 - -64.61887. Let x = 1494.2 + o. Let b = 3 - x. What is b rounded to three decimal places? -0.003 Let m(x) = 16016*x**3 + 17*x**2 - 89*x - 8. Let t be m(17). What is t rounded to the nearest one million? 79000000 Let s = -7.40000584 + 7.4. Round s to six decimal places. -0.000006 Suppose -14*j = -12*j - 4. Suppose -j*l - 3*l + 24 = -3*r, 0 = -l - r. Let h be l/(-18) - (-281)/(-6). What is h rounded to the nearest 10? -50 Let x = 11.1 - -84.9. Let j = x - 95.999918. Round j to 5 decimal places. 0.00008 Let s = 12.1 - 12.099999904. Round s to 7 decimal places. 0.0000001 Let t = 17.32 + -16. Let h = -0.63 + t. Let d = h + -0.14. What is d rounded to 1 decimal place? 0.6 Let u = -436.99999473 - -437. Round u to 6 decimal places. 0.000005 Let m = -108 - 56. Round m to the nearest one hundred. -200 Let f = 0.028 + -0.1. Let n = -0.07222 - f. What is n rounded to five decimal places? -0.00022 Let i = -12.97591 - 0.024048. Let w = i - -13. Round w to five decimal places. 0.00004 Suppose -5*v - 4*h = 30466, -2*v - 5*h - 24380 = 2*v. Round v to the nearest one thousand. -6000 Let a = 35375690 - 35375655.99999996. Let w = 34 - a. What is w rounded to 7 decimal places? 0 Let v = 46.4 + -46.906. Let r = 0.5059294 + v. What is r rounded to five decimal places? -0.00007 Let g = 3.71 - 5.44. Let z = g - -1.7299897. What is z rounded to six decimal places? -0.00001 Let h = 0.278586 + 214415.721414. Let y = h - 214439.9989. Let p = -24 - y. Round p to three dps. -0.001 Let s = 256.000000484 + -256. What is s rounded to seven dps? 0.0000005 Suppose -5*q - 27678 = q. Let z = 7713 + q. What is z rounded to the nearest one thousand? 3000 Let l = -38 + 32.6. Let b = -53650 + 53655.3979. Let f = l + b. Round f to 3 decimal places. -0.002 Suppose -2 + 12 = 5*r. Suppose -680 = -r*j + 2*p - 6*p, 5 = -p. What is j rounded to the nearest 100? 400 Let i = -2.672 - 0.028. Let a = 2.699956 + i. What is a rounded to 5 decimal places? -0.00004 Let z = 112 - 222. Let t = 109.99466 + z. Round t to 3 decimal places. -0.005 Suppose 2*u + 3*h + 0*h = 4704, u - 2352 = 2*h. Suppose u = 2*v - 3208. Round v to the nearest one hundred. 2800 Let t = 38 - 10.42. What is t rounded to 0 dps? 28 Let u be (-2)/3 + (-32)/(-12). Suppose -u*g - g - 2010000 = 0. What is g rounded to the nearest one hundred thousand? -700000 Let q = -302177 + 144059. Let a = -98626 - q. Suppose -3*o - 4*h - 35716 = 0, h - 3*h + a = -5*o. What is o rounded to the nearest 1000? -12000 Suppose -100556821 - 203523179 = 21*r. What is r rounded to the nearest 100000? -14500000 Let s(z) = 6323*z**3 - z**2 + 36*z + 20. Let r be s(-6). Round r to the nearest 10000. -1370000 Let w = -3430 - -3459.21. What is w rounded to the nearest integer? 29 Let n = 34 + -24. Suppose -4*d + n + 10 = 0. Suppose 5*p + 1035 = -q, -d*q = -2*p + 1919 + 3121. What is q rounded to the nearest one hundred? -1000 Let v = -2050 - -2049.9988122. What is v rounded to 5 dps? -0.00119 Let t be -1 + 2/(-2)*-3. Suppose -5*y + 12 = t. Let x be (148 + y)*(-135 - 5). Round x to the nearest ten thousand. -20000 Suppose 79683 = 4*m - 129081. Let w = m - 29791. Round w to the nearest 1000. 22000 Let h(q) = -960017*q + 51. Let r be h(3). What is r rounded to the nearest 100000? -2900000 Let s = -820.95955 - -821. What is s rounded to 3 decimal places? 0.04 Suppose 0 = -4*u - 9*s + 6*s + 116, -5*s + 150 = 5*u. Suppose -14*a + 12*a + u = 0. Round a to the nearest 100. 0 Let a = 0.0059 + -0.006259. Round a to 5 decimal places. -0.00036 Let o(i) = -18*i**2 - 3. Let j be o(7). Let q be (2 - -352)*j/10. Let x = 81329 + q. Round x to the nearest 10000.
{ "pile_set_name": "DM Mathematics" }
s after 7:08 AM? 3:21 PM How many minutes are there between 1:33 PM and 6:03 PM? 270 How many minutes are there between 6:27 PM and 12:41 AM? 374 How many minutes are there between 12:14 AM and 7:50 AM? 456 What is 535 minutes before 10:08 PM? 1:13 PM What is 237 minutes after 7:54 AM? 11:51 AM How many minutes are there between 3:58 AM and 12:19 PM? 501 How many minutes are there between 1:32 PM and 9:11 PM? 459 What is 249 minutes before 9:21 AM? 5:12 AM How many minutes are there between 8:21 PM and 5:34 AM? 553 What is 266 minutes after 7:41 PM? 12:07 AM How many minutes are there between 12:23 PM and 1:22 PM? 59 What is 270 minutes before 11:41 AM? 7:11 AM What is 647 minutes before 9:14 AM? 10:27 PM How many minutes are there between 5:29 PM and 5:06 AM? 697 How many minutes are there between 12:40 AM and 10:12 AM? 572 What is 132 minutes before 8:59 AM? 6:47 AM How many minutes are there between 2:43 PM and 1:55 AM? 672 How many minutes are there between 12:49 AM and 11:46 AM? 657 What is 432 minutes after 11:46 PM? 6:58 AM What is 627 minutes after 12:37 PM? 11:04 PM How many minutes are there between 7:29 PM and 6:12 AM? 643 How many minutes are there between 10:06 PM and 12:27 AM? 141 How many minutes are there between 2:48 PM and 3:57 PM? 69 What is 430 minutes before 2:55 PM? 7:45 AM What is 322 minutes after 5:16 AM? 10:38 AM What is 690 minutes before 8:39 PM? 9:09 AM How many minutes are there between 2:01 AM and 5:02 AM? 181 What is 647 minutes after 12:03 AM? 10:50 AM What is 439 minutes after 7:59 PM? 3:18 AM What is 40 minutes after 11:06 PM? 11:46 PM How many minutes are there between 3:01 AM and 7:31 AM? 270 What is 96 minutes before 3:26 PM? 1:50 PM What is 211 minutes before 11:51 AM? 8:20 AM What is 630 minutes after 10:51 AM? 9:21 PM What is 41 minutes before 10:52 AM? 10:11 AM What is 504 minutes before 1:22 AM? 4:58 PM How many minutes are there between 2:44 AM and 2:17 PM? 693 What is 128 minutes after 7:58 AM? 10:06 AM What is 277 minutes after 6:11 AM? 10:48 AM How many minutes are there between 6:24 AM and 4:31 PM? 607 How many minutes are there between 1:44 PM and 1:32 AM? 708 What is 586 minutes after 9:05 AM? 6:51 PM How many minutes are there between 9:37 AM and 7:49 PM? 612 How many minutes are there between 5:58 AM and 10:37 AM? 279 What is 135 minutes before 2:35 AM? 12:20 AM What is 474 minutes before 8:01 PM? 12:07 PM How many minutes are there between 12:45 PM and 6:13 PM? 328 How many minutes are there between 12:51 PM and 6:50 PM? 359 How many minutes are there between 8:14 AM and 4:19 PM? 485 How many minutes are there between 4:57 AM and 1:22 PM? 505 What is 692 minutes before 9:19 AM? 9:47 PM What is 408 minutes before 3:45 AM? 8:57 PM What is 223 minutes after 10:22 PM? 2:05 AM How many minutes are there between 7:14 PM and 6:26 AM? 672 How many minutes are there between 7:20 PM and 8:27 PM? 67 What is 652 minutes after 2:21 PM? 1:13 AM How many minutes are there between 6:47 PM and 3:31 AM? 524 How many minutes are there between 9:42 AM and 9:03 PM? 681 What is 552 minutes after 8:09 AM? 5:21 PM How many minutes are there between 8:48 PM and 9:41 PM? 53 How many minutes are there between 9:59 PM and 11:02 PM? 63 How many minutes are there between 3:09 AM and 5:43 AM? 154 What is 444 minutes before 1:59 PM? 6:35 AM What is 298 minutes after 8:39 AM? 1:37 PM What is 49 minutes before 12:22 AM? 11:33 PM How many minutes are there between 3:22 PM and 2:03 AM? 641 What is 211 minutes after 8:35 AM? 12:06 PM How many minutes are there between 1:56 PM and 11:47 PM? 591 What is 92 minutes after 1:39 AM? 3:11 AM How many minutes are there between 2:04 AM and 4:16 AM? 132 How many minutes are there between 9:09 PM and 9:44 PM? 35 What is 130 minutes after 7:18 PM? 9:28 PM What is 416 minutes after 9:23 AM? 4:19 PM How many minutes are there between 4:19 PM and 6:03 PM? 104 What is 302 minutes before 1:13 AM? 8:11 PM How many minutes are there between 5:26 PM and 10:21 PM? 295 How many minutes are there between 4:29 AM and 1:38 PM? 549 What is 675 minutes after 7:44 PM? 6:59 AM What is 454 minutes after 11:20 PM? 6:54 AM How many minutes are there between 5:40 PM and 8:16 PM? 156 How many minutes are there between 11:17 AM and 6:55 PM? 458 How many minutes are there between 10:41 PM and 9:41 AM? 660 What is 302 minutes before 5:39 AM? 12:37 AM How many minutes are there between 2:06 PM and 5:12 PM? 186 How many minutes are there between 6:24 AM and 8:57 AM? 153 What is 291 minutes after 11:57 PM? 4:48 AM What is 677 minutes before 8:55 PM? 9:38 AM How many minutes are there between 9:06 PM and 11:52 PM? 166 What is 266 minutes after 11:17 PM? 3:43 AM How many minutes are there between 5:43 AM and 6:24 AM? 41 What is 462 minutes before 9:10 AM? 1:28 AM What is 317 minutes after 8:12 PM? 1:29 AM What is 443 minutes after 8:13 AM? 3:36 PM How many minutes are there between 8:09 AM and 1:50 PM? 341 How many minutes are there between 8:35 AM and 5:52 PM? 557 What is 592 minutes after 11:39 AM? 9:31 PM How many minutes are there between 2:11 PM and 4:35 PM? 144 How many minutes are there between 12:07 PM and 12:32 PM? 25 What is 664 minutes before 2:23 AM? 3:19 PM What is 692 minutes after 5:42 PM? 5:14 AM What is 558 minutes after 7:51 PM? 5:09 AM How many minutes are there between 1:12 AM and 1:45 AM? 33 How many minutes are there between 1:51 AM and 5:22 AM? 211 What is 705 minutes before 2:03 AM? 2:18 PM What is 589 minutes after 4:54 AM? 2:43 PM How many minutes are there between 12:19 PM and 12:08 AM? 709 How many minutes are there between 3:56 AM and 10:09 AM? 373 How many minutes are there between 7:52 AM and 12:50 PM? 298 How many minutes are there between 3:56 AM and 9:14 AM? 318 How many minutes are there between 11:27 AM and 1:03 PM? 96 What is 664 minutes before 4:52 AM? 5:48 PM What is 27 minutes before 11:11 AM? 10:44 AM How many minutes are there between 10:13 AM and 12:42 PM? 149 How many minutes are there between 2:06 PM and 9:54 PM? 468 How many minutes are there between 3:06 PM and 2:09 AM? 663 How many minutes are there between 12:22 AM and 4:36 AM? 254 What is 559 minutes after 1:35 AM? 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{ "pile_set_name": "DM Mathematics" }
(((sqrt(336) - (1*(sqrt(336) - sqrt(336)*2 - sqrt(336)) + sqrt(336)))*3)/((3*sqrt(112)/sqrt(2))/((sqrt(128) + sqrt(8))*2)))**2. 19200 Simplify -6*(-1*(sqrt(220) - 2*sqrt(220))*2)/(sqrt(125)*1*-1*2). 12*sqrt(11)/5 Simplify ((-6*(sqrt(120) - (sqrt(120) + -1*sqrt(120)) - sqrt(120)))/sqrt(6)*-6)/((sqrt(40)/(sqrt(10) + sqrt(40)/sqrt(4)) - sqrt(324)/sqrt(9))*3). 0 Simplify (4*(6*(sqrt(704) - sqrt(704)*-1) + 1))**2 - (sqrt(704) + -3 + -4 - sqrt(704) - (-3 + sqrt(704))*3)**2. 3168*sqrt(11) + 1615692 Simplify (sqrt(102)/sqrt(6) + 2)**2 + (sqrt(17) - sqrt(272)*-2) + -4 + ((1 + sqrt(425) - sqrt(425))*1 + sqrt(425) + -1*sqrt(425) + -3)**2*3. 29 + 13*sqrt(17) Simplify ((-3*(1*sqrt(325) + 3 - sqrt(325)) - (sqrt(325) + (sqrt(325)*1 + sqrt(325))*3 - (-1 + sqrt(325) + -5))) + -4)**2*4. 4560*sqrt(13) + 48244 Simplify 2 + (1 + (1 + sqrt(117)/sqrt(9) - (sqrt(13) + 4 + sqrt(13))*5))*-4. 74 + 36*sqrt(13) Simplify 4 + ((-5*3*(sqrt(3) - 3*sqrt(3))**2 - -6*sqrt(12)/sqrt(4)*-5) + -3)*4. -728 - 120*sqrt(3) Simplify -5 + ((sqrt(108) + 5 + sqrt(108) + -3 + sqrt(108) + (sqrt(108) - (5 + (sqrt(108) + sqrt(108)*-2 + sqrt(108) - sqrt(108)) - sqrt(108))))*-6)**2 + 2. -7776*sqrt(3) + 140289 Simplify 2 + (5 + ((sqrt(38)/sqrt(2) + -3)*-1 + (sqrt(1539) - (sqrt(1539) + 0)) + 3)*-5)**2. -250*sqrt(19) + 1102 Simplify (sqrt(40) - (sqrt(40) + sqrt(1960))*-5)/sqrt(8)*-6 - 2*-2*(sqrt(80) + -2). -230*sqrt(5) - 8 Simplify 5*(-4 + -2*2*sqrt(1539) + -2 + (sqrt(1539) - (-3 + (sqrt(1539) - (sqrt(1539) + 2)))))**2*3. 810*sqrt(19) + 207780 Simplify (0 + sqrt(5) + -1*sqrt(5) + 1*sqrt(80) + 2 - -5*6*(1 + sqrt(605) + 3))**2. 81496*sqrt(5) + 572664 Simplify -1 + (-1*sqrt(5100)*3*-5)/(2*(sqrt(363) + 1*sqrt(363) + sqrt(363))*1). -1 + 25*sqrt(17)/11 Simplify -5*(((5*-2*sqrt(171))**2 - (((1 + sqrt(171))*2)**2 + sqrt(171)) - (1*sqrt(171)*-2 + 1*(sqrt(171) + 1*sqrt(171))))*-5 + -4). -675*sqrt(19) + 410320 Simplify ((-2 + (sqrt(396) - (0 + sqrt(396)))*4 + sqrt(396) + 1 + sqrt(396) + -5 - ((4 + 0 + sqrt(396) - sqrt(396)) + sqrt(396) + (1 + sqrt(396))*-6)) + -5)**2. -756*sqrt(11) + 19485 Simplify (-1*-5*(sqrt(114) + sqrt(114)*5 - sqrt(114) - sqrt(114)))/(-6*sqrt(96)*-3 + sqrt(96)). 5*sqrt(19)/19 Simplify ((sqrt(4896) - (sqrt(4896) + -2*1*sqrt(4896)) - (5*1*sqrt(4896) + sqrt(4896)))/(sqrt(288) + sqrt(2) - -1*sqrt(18)))**2. 153 Simplify -2 + 0 + (sqrt(847) + 4 + -3*sqrt(847) + sqrt(847) + (sqrt(847)*-3 + -1)**2 + 1)*-3. -22889 - 165*sqrt(7) Simplify -4 + (3*-1*sqrt(19) + sqrt(171) + 2 - (3 + -4 + sqrt(19) + 0)). -sqrt(19) - 1 Simplify -4 + (-6*(sqrt(13) + sqrt(52)) + -5)*4 + ((-3 + sqrt(13) + 1)*4 - -4*(-2*sqrt(130))/sqrt(10))**2. -8*sqrt(13) + 248 Simplify 4*((sqrt(510)/sqrt(160))/(sqrt(243) - sqrt(243)*-2 - sqrt(243)) + 1*(3 + (-2*sqrt(136))/sqrt(8)))*-3. -36 + 143*sqrt(17)/6 Simplify (-1*(1*sqrt(98) + -1 + 6*((sqrt(98) - (sqrt(98) + 2)) + sqrt(98) + sqrt(98)) + 1)*-4)**2. -34944*sqrt(2) + 267296 Simplify ((sqrt(1350)/sqrt(6))/(-2*sqrt(108)) + 5*(sqrt(108) + 2 + sqrt(108)) + 2*(0 + sqrt(108)))**2. 4295*sqrt(3)/3 + 742681/48 Simplify (4*(6*sqrt(190)*1 + -2*sqrt(190)*-3))/((sqrt(30) + sqrt(240)/sqrt(8))/sqrt(3) + sqrt(1000)*-5 + sqrt(1000)). -24*sqrt(19)/19 Simplify (-6*(sqrt(95) + (sqrt(95) - (4*3*sqrt(95) + sqrt(95))) - -1*sqrt(95)*2))/(6*sqrt(15)/(sqrt(15)/sqrt(45))). 3*sqrt(19) Simplify -6*((sqrt(500) - (-1 + sqrt(500) - sqrt(500))) + 3 - sqrt(500))*-5*-4*-4*-3. -5760 Simplify ((1*sqrt(208) + 3)*-1)**2 + -4 + -3*(sqrt(52) + 2)**2. 45 Simplify (-2*sqrt(33)*6 - ((sqrt(2112) - 3*sqrt(2112)) + sqrt(33)))/(sqrt(108)*5*-6)*2. -sqrt(11)/30 Simplify (((sqrt(1053)*-2 + -5)*-1 - (-2 + sqrt(1053) + -1 + -4)) + -2)**2 + -2. 180*sqrt(13) + 1151 Simplify sqrt(190)/(sqrt(30)/sqrt(3)) + sqrt(19) + ((sqrt(209)*4)/sqrt(11))**2 + 6*(sqrt(2299) + (1*sqrt(2299) - sqrt(2299)) + sqrt(2299))*-1. -130*sqrt(19) + 304 Simplify -3*(-3*sqrt(832)*-3 + 5 + -2 + 5 + -4)**2 + 2. -202222 - 1728*sqrt(13) Simplify -5 + 5*(4*(sqrt(1331) - (sqrt(1331) + -1 + 3))**2 + ((1 + sqrt(1331))*-2 - (sqrt(1331) + (sqrt(1331) - sqrt(1331)*1 - sqrt(1331)))*-5) + 4). -110*sqrt(11) + 85 Simplify ((-4*(sqrt(528) + 2*sqrt(528) + sqrt(528)))/(sqrt(48)/(2*sqrt(4))))**2 - (sqrt(528) - (6*sqrt(528)*-2 + sqrt(528)))/(2*sqrt(12)*-3). 4*sqrt(11) + 45056 Simplify -5*((sqrt(108)/sqrt(4))/sqrt(9) - (-1 + sqrt(12)/sqrt(4) + sqrt(3))) + (sqrt(36)*-2*6)/(5*sqrt(48)). -5 + 19*sqrt(3)/5 Simplify ((sqrt(98) - (sqrt(98) + 2 + sqrt(98)*3))*4 + 2*(0 + sqrt(2) + 2) + 5)**2. -164*sqrt(2) + 13449 Simplify (5*((sqrt(468) - (-5 + (2*sqrt(468))**2 - sqrt(468))) + sqrt(468)) - (1 + 4 + sqrt(468)*-2)**2)*1. -11232 + 210*sqrt(13) Simplify (-5*(sqrt(88)/(sqrt(8) + sqrt(24)/sqrt(3) + sqrt(8)) - (2*sqrt(132))/sqrt(12)))**2 - ((sqrt(44)/sqrt(4)*-3)**2 + 2 + -3). 5993/9 Simplify -5 + ((-3*-3*(sqrt(187) - sqrt(187)*2*3))/(sqrt(1100) - (sqrt(1100) - (sqrt(1100) - sqrt(1100)*1)) - 4*(sqrt(11) + sqrt(66)/sqrt(6) + sqrt(11))))**2. 3745/16 Simplify sqrt(275) + 3 + ((sqrt(11) + -1 + sqrt(11))*4 - sqrt(11)) - (sqrt(33)/(4*2*sqrt(3)) + 0). -1 + 95*sqrt(11)/8 Simplify 4*(sqrt(28) + (2*sqrt(280))/sqrt(10) - sqrt(112)*1)/(sqrt(484) + (sqrt(484) - 2*(sqrt(484) + sqrt(484)*-3)) + sqrt(484) + sqrt(484)). sqrt(7)/22 Simplify -1*(sqrt(1900) - (-2 + sqrt(1900) + -1) - (1 + sqrt(1900)*-2)) - 1*((sqrt(1900) + 0)*1 + sqrt(1900) + -2). -40*sqrt(19) Simplify (-3 + 1*sqrt(832))**2*1 + -1*(6*((sqrt(78) - sqrt(78)*5) + sqrt(78) - sqrt(78)))/sqrt(6). -24*sqrt(13) + 841 Simplify ((-2 + sqrt(1216))*-2)**2*1 + (4*sqrt(2736) - sqrt(76)/sqrt(256)). -641*sqrt(19)/8 + 4880 Simplify (0 + 0 + sqrt(1900) - -6*(sqrt(1900) - (sqrt(1900) + -1)))**2 + (1 + 2*-2*sqrt(1900) + sqrt(1900))**2. 60*sqrt(19) + 19037 Simplify -3 + (3*-5*(sqrt(117) - ((sqrt(117) - sqrt(117)*-2) + sqrt(117))))/(sqrt(72)/sqrt(392)*-2). -315*sqrt(13)/2 - 3 Simplify -5 + -6*(-6*(sqrt(242) - (sqrt(242) + -4*sqrt(242)*-6)**2) + 4*(sqrt(242) - (-3*sqrt(242) + 2))). -5444957 - 660*sqrt(2) Simplify -3 + (4*(sqrt(1008) + 0 + sqrt(1008))*-6 + 4*(sqrt(1008) + 1 - sqrt(1008)) + sqrt(1008) + -2)**2*5. -11280*sqrt(7) + 11133377 Simplify 6*(-1*(sqrt(68) + (sqrt(68) - (1*sqrt(68) + sqrt(68) - sqrt(68)))*-3))/(-3*sqrt(12)/sqrt(3)*5)*-3. -6*sqrt(17)/5 Simplify -5*((sqrt(468)*-1 + 3 + sqrt(468) - (sqrt(468) + 1*sqrt(468) + -1) - (0 + sqrt(468) + (0 + sqrt(468))*-1))*6)**2. -339840 + 17280*sqrt(13) Simplify (sqrt(121) + ((sqrt(121)*2 - sqrt(121) - sqrt(121)) + sqrt(121))*-3 + -3*-2*sqrt(121))/((-6*sqrt(121)*-2)/(1*-1*sqrt(11))). -sqrt(11)/3 Simplify -3 + (sqrt(1539) + -1)**2 + 5 + 4 - (5*(1 + -2*sqrt(304)*1))**2. -28879 + 382*sqrt(19) Simplify ((sqrt(98) - ((-3 + sqrt(98))*2 - sqrt(98)) - (sqrt(98) + (3 + sqrt(98) + -2 - sqrt(98)) + sqrt(98)))*-4 + 3)**2*-5*-2. -19040*sqrt(2) + 65610 Simplify (-6*(-2*(sqrt(152) - -2*sqrt(152)) - (sqrt(152) - 4*(sqrt(152) + sqrt(152)*1 + sqrt(152) + sqrt(152)))))/(-4*2*sqrt(200)*2). 27*sqrt(19)/40 Simplify 3*((1*(-4*sqrt(5) + sqrt(5)) - (sqrt(5) + 5 + sqrt(45))) + (sqrt(180) + (-5 + -1 + sqrt(180) - sqrt(180)))**2 + 0). -237*sqrt(5) + 633 Simplify (-1*(sqrt(520)*2 + sqrt(520) - sqrt(520)) + 1*sqrt(520)*6)/(6*-4*sqrt(640)). -sqrt(13)/24 Simplify sqrt(180)*-1 + -1 - ((sqrt(180) - (sqrt(180) + 2))**2 + 1) - (-1 + 1*(sqrt(20) + sqrt(20) + (sqrt(140)/(sqrt(21)/sqrt(3)) - sqrt(20)))). -10*sqrt(5) - 5 Simplify 2 + ((-2 + sqrt(275) + 2 + sqrt(275) - sqrt(275))**2 + -5*(-2 + sqrt(275))**2 - (4 + sqrt(275)*-3*-3)**2). -23409 - 260*sqrt(11) Simplify 0 + (-5*-3*(4 + sqrt(275)))**2 + (sqrt(3300) - (sqrt(3300) - sqrt(3300)*2) - sqrt(33))/(sqrt(48)*3). 108019*sqrt(11)/12 + 65475 Simplify (-1*sqrt(57)/(sqrt(12)/sqrt(4)) + -5 - ((sqrt(76) + 1*sqrt(76))/sqrt(4) - (5 + sqrt(684))))**2*6. 1026 Simplify (-3 + 2 + -2 + sqrt(75) + 3 + sqrt(75) + sqrt(75)*-1 + sqrt(75) + sqrt(75) + 2*(sqrt(75) + -2*sqrt(75) + sqrt(75)))**2 + 2. 677 Simplify (sqrt(200) + 2 + (1 + sqrt(200) + sqrt(200) - sqrt(200)))*-3 + 0 + (sqrt(784) + 2*sqrt(784))/(sqrt(72)*5). -293*sqrt(2)/5 - 9 Simplify (6*(-2 + ((-4*sqrt(192))/sqrt(8)*1)/(-3*(2*sqrt(108) + sqrt(108)))))**2. -64*sqrt(2)/3 + 11792/81 Simplify -4 + (6*(((sqrt(99) - sqrt(99)*-1*4) + sqrt(99) - sqrt(99)) + 2*sqrt(99)*1 + ((sqrt(99) - sqrt(99)*-2)*-6 - (sqrt(99)*-1 + 0)))*2*5)**2. 35639996 Simplify (-2*-4*(1 + (3 + sqrt(539))*-5 +
{ "pile_set_name": "DM Mathematics" }
-257, -1058, -2391, -4256, -6653, -9582, -13043? -266*i**2 - 3*i + 12 What is the k'th term of -172, -124, -78, -34, 8? -k**2 + 51*k - 222 What is the m'th term of -88, -159, -230, -301, -372? -71*m - 17 What is the u'th term of 313, 284, 197, 22, -271, -712, -1331, -2158? -5*u**3 + u**2 + 3*u + 314 What is the a'th term of 638, 2530, 5680, 10088, 15754, 22678, 30860? 629*a**2 + 5*a + 4 What is the y'th term of 137, 136, 135, 134? -y + 138 What is the x'th term of 154, 149, 140, 127, 110, 89? -2*x**2 + x + 155 What is the j'th term of -316, -641, -954, -1249, -1520, -1761, -1966? j**3 - 332*j + 15 What is the r'th term of -812, -813, -814? -r - 811 What is the b'th term of -3687, -7376, -11065, -14754, -18443? -3689*b + 2 What is the a'th term of -9, -33, -61, -93, -129? -2*a**2 - 18*a + 11 What is the j'th term of 90, 179, 268, 357? 89*j + 1 What is the f'th term of 62, 59, 56, 53? -3*f + 65 What is the j'th term of -206, -174, -120, -44, 54, 174? 11*j**2 - j - 216 What is the j'th term of -38, -155, -336, -569, -842, -1143? 2*j**3 - 44*j**2 + j + 3 What is the a'th term of -5960, -5961, -5960, -5957? a**2 - 4*a - 5957 What is the v'th term of -89, -132, -161, -170, -153, -104, -17, 114? v**3 + v**2 - 53*v - 38 What is the c'th term of -12361, -12362, -12363, -12364? -c - 12360 What is the z'th term of -192, -189, -186? 3*z - 195 What is the p'th term of -11878, -23756, -35634, -47512? -11878*p What is the z'th term of 1905, 1890, 1859, 1806, 1725, 1610, 1455? -z**3 - 2*z**2 - 2*z + 1910 What is the u'th term of 13, 37, 87, 175, 313, 513, 787, 1147? 2*u**3 + u**2 + 7*u + 3 What is the i'th term of -81, -60, -3, 108, 291, 564? 3*i**3 - 84 What is the d'th term of 118, 648, 1524, 2740, 4290? -d**3 + 179*d**2 - 60 What is the k'th term of 602, 1207, 1822, 2453, 3106? k**3 - k**2 + 601*k + 1 What is the h'th term of 265, 269, 283, 313, 365, 445, 559, 713? h**3 - h**2 + 265 What is the u'th term of 21, 1, -33, -81? -7*u**2 + u + 27 What is the r'th term of -6, 35, 176, 477, 998? 10*r**3 - 10*r**2 + r - 7 What is the l'th term of -94, -84, -74, -64, -54? 10*l - 104 What is the m'th term of 4774, 4771, 4768, 4765, 4762? -3*m + 4777 What is the o'th term of -249, -497, -745? -248*o - 1 What is the z'th term of -678, -675, -672, -669, -666, -663? 3*z - 681 What is the m'th term of -26, -104, -246, -464, -770, -1176, -1694, -2336? -2*m**3 - 20*m**2 - 4*m What is the m'th term of -479, -478, -477? m - 480 What is the p'th term of -1222, -2446, -3672, -4900, -6130, -7362? -p**2 - 1221*p What is the l'th term of -45, -31, -3, 45, 119? l**3 + l**2 + 4*l - 51 What is the v'th term of 12, 15, 32, 69, 132? v**3 + v**2 - 7*v + 17 What is the i'th term of -2265, -2276, -2301, -2346, -2417? -i**3 - i**2 - i - 2262 What is the v'th term of -36, -122, -208, -294? -86*v + 50 What is the z'th term of 1280, 1271, 1264, 1265, 1280, 1315? z**3 - 5*z**2 - z + 1285 What is the p'th term of -361, -739, -1115, -1489, -1861, -2231, -2599? p**2 - 381*p + 19 What is the x'th term of 1092, 1090, 1086, 1080, 1072? -x**2 + x + 1092 What is the f'th term of 24, 19, 12, 3, -8, -21, -36? -f**2 - 2*f + 27 What is the f'th term of 11, 24, 39, 56, 75, 96, 119? f**2 + 10*f What is the f'th term of -9, -88, -289, -672, -1297, -2224, -3513, -5224? -10*f**3 - f**2 - 6*f + 8 What is the g'th term of -67, -36, -5? 31*g - 98 What is the u'th term of 374, 391, 434, 515, 646? 2*u**3 + u**2 + 371 What is the p'th term of 434, 435, 436? p + 433 What is the h'th term of -84, -82, -78, -72, -64, -54, -42? h**2 - h - 84 What is the x'th term of -212, -230, -252, -272, -284, -282, -260, -212? x**3 - 8*x**2 - x - 204 What is the y'th term of -13, -26, -55, -106, -185, -298, -451? -y**3 - 2*y**2 - 10 What is the o'th term of 2152, 2151, 2150, 2149, 2148? -o + 2153 What is the l'th term of -280, -561, -842, -1123, -1404, -1685? -281*l + 1 What is the s'th term of -28, -56, -84, -112, -140? -28*s What is the d'th term of -3083, -6165, -9247, -12329, -15411, -18493? -3082*d - 1 What is the u'th term of -11559, -11561, -11565, -11571, -11579, -11589, -11601? -u**2 + u - 11559 What is the m'th term of -458, -924, -1392, -1862, -2334? -m**2 - 463*m + 6 What is the u'th term of 33, 29, 25, 21, 17, 13? -4*u + 37 What is the d'th term of 6, 36, 86, 156, 246, 356, 486? 10*d**2 - 4 What is the l'th term of -29, -31, -43, -71, -121? -l**3 + l**2 + 2*l - 31 What is the m'th term of 1, 10, 57, 160, 337, 606, 985? 3*m**3 + m**2 - 15*m + 12 What is the a'th term of -97, -358, -785, -1372, -2113, -3002? a**3 - 89*a**2 - a - 8 What is the l'th term of 88, 115, 142, 169, 196? 27*l + 61 What is the c'th term of -123, -145, -187, -255, -355? -c**3 - 4*c**2 - 3*c - 115 What is the j'th term of 170, 339, 508, 677, 846, 1015? 169*j + 1 What is the y'th term of -6, 29, 82, 159, 266, 409, 594, 827? y**3 + 3*y**2 + 19*y - 29 What is the d'th term of 284, 559, 834, 1109? 275*d + 9 What is the i'th term of -5410, -5409, -5408, -5407? i - 5411 What is the z'th term of -767, -1538, -2313, -3092, -3875, -4662, -5453? -2*z**2 - 765*z What is the g'th term of 202, 203, 204, 205, 206, 207? g + 201 What is the c'th term of -70, -144, -216, -286, -354, -420, -484? c**2 - 77*c + 6 What is the s'th term of -65, -56, -43, -26, -5, 20? 2*s**2 + 3*s - 70 What is the p'th term of -2, -9, -16? -7*p + 5 What is the g'th term of 592, 588, 584, 580? -4*g + 596 What is the m'th term of -3, 36, 95, 174, 273, 392? 10*m**2 + 9*m - 22 What is the m'th term of -85, -161, -237, -313? -76*m - 9 What is the i'th term of 37729, 37730, 37731? i + 37728 What is the i'th term of -177, -328, -473, -606, -721, -812, -873, -898? i**3 - 3*i**2 - 149*i - 26 What is the p'th term of 8, -55, -170, -343, -580, -887, -1270, -1735? -p**3 - 20*p**2 + 4*p + 25 What is the k'th term of 7, 50, 109, 190, 299? k**3 + 2*k**2 + 30*k - 26 What is the l'th term of -4525, -4526, -4527, -4528, -4529, -4530? -l - 4524 What is the y'th term of -331, -322, -313, -304? 9*y - 340 What is the m'th term of 1, 5, 7, 7, 5, 1, -5? -m**2 + 7*m - 5 What is the d'th term of 28, 49, 66, 79, 88? -2*d**2 + 27*d + 3 What is the p'th term of 49, 172, 377, 664? 41*p**2 + 8 What is the x'th term of -47, -62, -87, -122, -167? -5*x**2 - 42 What is the a'th term of 5, 2, 5, 14, 29, 50, 77? 3*a**2 - 12*a + 14 What is the v'th term of 115, 168, 315, 604, 1083, 1800, 2803? 8*v**3 - v**2 + 108 What is the q'th term of -15, -36, -71, -120, -183? -7*q**2 - 8 What is the h'th term of -757, -762, -781, -820, -885? -h**3 - h**2 + 5*h - 760 What is the n'th term of 159, 315, 471, 627? 156*n + 3 What is the g'th term of -83, -94, -119, -164, -235, -338, -479? -g**3 - g**2 - g - 80 What is the u'th term of 99, 69, 33, -9, -57? -3*u**2 - 21*u + 123 What is the n'th term of 147, 122, 97, 72? -25*n + 172 What is the q'th term of -22, -37, -50, -61, -70? q**2 - 18*q - 5 What is the a'th term of -2686, -2683, -2680, -2677, -2674? 3*a - 2689 What is the n'th term of -12, -16, -16, -6, 20, 68, 144? n**3 - 4*n**2 + n - 10 What is the q'th term of 40, 47, 58, 73? 2*q**2 + q + 37 What is the j'th term of -14898, -29797, -44696, -59595? -14899*j + 1 What is the m'th term of 36, -10, -130, -360, -736, -1294? -6*m**3 - m**2 - m + 44 What is the y'th term of 69, 57, 53, 63, 93, 149, 237? y**3 - 2*y**2 - 13*y + 83 What is the u'th term of 247, 528, 821, 1132, 1467, 1832, 2233, 2676? u**3 + 274*u - 28 What is the s'th term of 246, 488, 728, 966, 1202, 1436? -s**2 + 245*s + 2 What is the f'th term of -754, -755, -756, -757? -f - 753 What is the s'th term of 237, 471, 705? 234*s + 3 What is the m'th term of 3387, 3385, 3383, 3381, 3379, 3377? -2*m + 3389 What is the v'th term of 9, 14, 27, 54, 101? v**3 - 2*v**2 + 4*v + 6 What is the i'th term of 5, 4, 11, 32, 73, 140, 239? i**3 - 2*i**2 - 2*i + 8 What is the j'th term of 370, 369, 368? -j + 371 What is the k'th term of -49, -38, -21, 2, 31, 66, 107? 3*k**2 + 2*k - 54 What is the c'th term of 120, 381, 824, 1455, 2280, 3305, 4536, 5979? c**3 + 85*c**2 - c + 35 What is the a'th term of 187, 368, 549, 730, 911, 1092? 181*a + 6 What is the q'th term of -1839, -1852, -1865, -1878, -1891? -13*q - 1826 What is the w'th term of -761, -759, -757? 2*w - 763 What is the t'th term of -281
{ "pile_set_name": "DM Mathematics" }
t common multiple of 5 and g? 30 Let i(b) = 27*b**2 - 7*b + 7. Suppose 4*m - 9 = 15. Calculate the least common multiple of m and i(1). 54 Let b = -24288141/37090 - 210/3709. Let k = b + 664. Find the common denominator of (-617)/70 + 4/(-14) and k. 10 Let m = -273797/20 + 13693. Calculate the common denominator of m and -59/284. 1420 Let a(k) = -k**2 - 5*k + 2. Let r be a(-3). Suppose -r*t + 112 = -t. Calculate the smallest common multiple of t and 4. 16 Let w be (103978/(-8) + 3)/2. Let u = w - -6486. What is the common denominator of u and (-36)/(-5)*(-9)/6? 40 Let j(z) = -z - 2. Let p be j(2). Let d be 3/3 + -1 - p. Suppose -d*t = -4*i + i + 74, 0 = -4*t - 20. What is the lowest common multiple of i and 8? 72 Let i be (-365575)/(-112)*4/(-10). Let b = i - -1304. Find the common denominator of b and -21/5. 40 Let y = 12 - -10. Let h = y + -13. Let v = 152 - 148. Calculate the smallest common multiple of v and h. 36 Let l be 38/6 - 3/9. Suppose b + l + 21 = 0. What is the least common multiple of 8 and -1 + 1 + b/(-3)? 72 Suppose -3*t + 3*c + 120 = 0, 240 = 6*t - t + 5*c. Calculate the least common multiple of t and 20. 220 Let j be 6725/(-15) + 0/(-1). Let m = -456 - j. Let u = -12341/8 - -1546. What is the common denominator of m and u? 24 What is the common denominator of 107*(-2)/(-12)*1 and 26/91 + 223/(-658)? 282 What is the common denominator of (-4 + 595/150)/((-60)/2875) and 79/18? 72 Let s(p) = -2*p**3 + 10*p**2 + 4. Let n be s(7). Calculate the common denominator of 13/10 and (-1 - -4) + 2960/n. 60 Let c = -183886559/830 - -221550. Find the common denominator of -14 and c. 830 Suppose 4*l - 67 = 2*z + 37, 4*z = 3*l - 73. Suppose 45 = b - 0*w - 5*w, 0 = b + 3*w - 21. What is the lowest common multiple of l and b? 270 Let c = 6/125 + 2101/500. Find the common denominator of c and 16/63. 252 Suppose -2*l - 59 = n, 25 = 3*l - 5*n + 146. Let j = 6/385 - -2997/385. Calculate the common denominator of l and j. 5 Let i(f) be the first derivative of -f**4/4 + 10*f**3/3 - 5*f**2 + 19*f + 14. Let w = -5 - -14. Calculate the lowest common multiple of 22 and i(w). 110 What is the lowest common multiple of 6 and ((-16)/10)/(4/(-370))? 444 Let k(x) = -x**2 - x + 4. Let p be k(0). Suppose 0 = -4*r - 162 + 986. Find the common denominator of 115/12 and (r/p)/(3 - 9). 12 Let r(w) = -w**2 + 49*w - 358. Suppose 0 = 2*j - 4 - 2. What is the least common multiple of j and r(40)? 6 Suppose 0 = -2*o + 4 + 12. What is the smallest common multiple of o and ((-138)/(-5) - -2) + 2/5? 120 Let m = 10 + 2. What is the least common multiple of (6 + -11)/((-1)/28) and m? 420 Let b = -7831/18480 - 47/336. Find the common denominator of 173/30 and b. 330 Let b = 76 + -72. What is the least common multiple of (-1326)/(-65) + b/(-10) and 36? 180 Suppose 2 = d - 0*d. Suppose 1 = d*y - b - 9, -4*y - 4*b - 4 = 0. Suppose y*q - 15 = -2*q. What is the smallest common multiple of 2 and q? 6 Let b(f) = f**3 - 4*f**2 - 6*f + 5. Let n be b(5). Suppose 4*l + 1 - 13 = n. What is the least common multiple of l and 27? 27 Let d(r) = -4*r**3 - 15*r**2 - 7*r + 11. Let g be d(-11). Let b = g - 21455/6. Calculate the common denominator of b and (87/9)/(10/5). 6 Calculate the common denominator of -35/12 and 2/4 - (-1548)/(-3664). 2748 Suppose 0 = -6*v - 6*v + 72. Suppose 8*d - 16 = v*d. Calculate the smallest common multiple of 52 and d. 104 Calculate the common denominator of (-9)/((-1296)/(-963)) - 18/(-3) and -109/12. 48 Calculate the lowest common multiple of 664 and (7 - (-14)/(-3)*-6) + -3. 2656 Let y(u) = -u + 6. Let r be y(6). Suppose 5*x + 39 = 3*h - r*x, 96 = 5*h + 2*x. Calculate the least common multiple of 106 and h. 954 Let f(i) = -11*i + 137. Calculate the smallest common multiple of f(7) and 6. 60 Find the common denominator of 17/22 and 3 - (-7 + (-4350)/(-416)). 2288 Suppose 5*z = 20 + 80. Let u = z - 9. Suppose 0 = 2*x - 7 - u. What is the smallest common multiple of 8 and x? 72 Suppose -z - z = 4*l + 9394, -5*z - 11750 = 5*l. Let q = 5341 + l. Let x = -11911/4 + q. Calculate the common denominator of -41/4 and x. 4 Suppose 0 = -c + b + 5, -c - 4*b = 10 + 5. What is the lowest common multiple of c and 1? 1 Let v = 2361/22 + -702/11. Let l = -5 + 6. Calculate the common denominator of v and (-1)/l*1 - 3. 2 Suppose 2*z = 17 - 3. Let r(n) be the first derivative of -11*n**4/4 - n**3 - n**2/2 + n - 31. What is the smallest common multiple of r(-1) and z? 70 Suppose 4*o - 63 = -k, -5*k = o - 29 + 18. What is the lowest common multiple of o and 140? 560 Let r = 1 + -1. Suppose r = -5*s - 0 + 20. Suppose -x + 42 = 5*u, -s*u - x - 4*x = -21. Calculate the least common multiple of u and 6. 18 Let o = 2372/7 + -41849/126. Find the common denominator of o and 6 - (1976/1300)/((-24)/(-10)). 90 Suppose 5*w - 110 = -5*y, 3*w = -5*y + 3*y + 65. Suppose 2*z = -q - 9 - 15, -37 = 3*z + 2*q. Let j = w + z. Calculate the least common multiple of 8 and j. 40 Let j(k) = k**3 - 22*k**2 + 19*k + 37. Let w be j(21). Calculate the lowest common multiple of 6 and ((-6)/w)/(12/180). 18 Let a be ((-4)/1)/(5/1425). Let f = a - -640. Let w = -2915/6 - f. What is the common denominator of w and 151/6? 6 Suppose 5*l + 35 = k, l - 4*l + 4*k - 21 = 0. Let o be (2/4)/((-1)/2). What is the common denominator of -9/10 and (l/42)/(o/201)? 10 Let j = -483808301/36 + 13438173. Let m = j - -3753/4. Let s = m - 383/18. What is the common denominator of -23/8 and s? 8 Let l(y) = 2*y**2 + 14*y + 36. What is the smallest common multiple of l(-5) and 4? 16 Let o(t) = -t**2 + 8*t - 8. Let c be o(6). Suppose -4*u = -c, 0*s = 4*s + u - 29. Calculate the lowest common multiple of 5 and s. 35 Let v be 6/(-79)*6/2*5. Let u = -2473/395 + v. Calculate the common denominator of 95/6 and u. 30 Let s = 329 + -305. Calculate the lowest common multiple of s and 36. 72 Suppose 6*z - 572 = 2140. What is the smallest common multiple of z and 4? 452 Let j(u) = 8*u - 3. Let s be j(-2). Let c = s + 30. Calculate the lowest common multiple of 8 and c. 88 Let v = -13 - -18. Suppose 0 = 4*i + 4*m + 4, -2*m - 30 = -5*i - 0. What is the smallest common multiple of i and v? 20 Let r be (5 - (3 - -5)) + 3. Suppose r = -4*g + 2 + 30. What is the lowest common multiple of g and 11? 88 Let c be (-8)/(-1) - (-1 - -1). Let k be 1*2/c*4. Let g(f) = 15*f - 1. Calculate the lowest common multiple of g(k) and 24. 168 Calculate the common denominator of 58/45 and 7 - 4 - (-1196)/(-396)*1. 495 Let w be 1 + 3 + (-467)/32 + 3. Let r = w + 5549/480. Find the common denominator of r and -17/21. 210 Let y(h) = h**3 + 9*h**2 - 83*h + 113. Suppose -3*g + q + 406 = 0, g - 118 = -3*q + 24. Calculate the smallest common multiple of g and y(-15). 136 Let x = 81 + -79. Calculate the common denominator of (-275)/99*x/16 and 49/20. 360 Suppose b - 3*j + 67 = -3*b, -3*b - 3*j = 24. Let g = -7 - b. What is the least common multiple of (g - 4) + (1 - 1) and 8? 8 Let b be -1*0/(7 + -4). Suppose -5*n + r + 155 = b, 5*r - 121 = -0*n - 3*n. Calculate the common denominator of (-7)/((-63)/(-48)) - 0 and n. 3 Let k = -8 + 10. Let p = -97929/25228 - 10/901. Calculate the common denominator of p and (k/20)/(2/202). 140 Let y = -11679 - -116901/10. Let l = y - -192/5. Let u = -4842 - -38833/8. Calculate the common denominator of u and l. 8 Let j = 1983/8 - 1306781/5272. Let n be 183130/23724 + 1/9. Let m = n + j. Calculate the common denominator of m and -63/2. 6 Let y(v) = 7*v**2 - v - 24. Let r be y(-6). Let z = r - 3034/13. Find the common denominator of z and 131/6. 78 Suppose -15 = 5*l, -5*h - 2*l - 3*l - 10 = 0. What is the common denominator of (-805)/(-42)*(2 - h) and 16/(-30) + (-3)/15? 30 Let k(p) = 7*p - 35. What is the lowest common multiple of 24*(-5)/(-15)*1 and k(7)? 56 Let k(h) = 2*h**2 + h - 6. Let m be k(-6). Let n = m - 42. Let q = 103 - 93. What is the lowest common multiple of q and n? 90 Let d(c) = -c + 11. Let x be d(12). Find the common denominator of 16/27 and x + (-70)/(-60) + 2/(-7). 378 Let g = -61/11 + 741/88. Let w be -1 + 4 - 93168/31086. Let i = -184719/24178 - w. What is the common denominator of g and i? 56 What is the common denominator of -83/12 and 99/(-27)*2/((-12)/13)? 36 Let a(b) = b**3 - 2. Let p be ((-8)/(-12))/(2/6). Suppose -
{ "pile_set_name": "DM Mathematics" }
-179*a**2 Collect the terms in -11*a**2 + 468042 - 468042. -11*a**2 Collect the terms in -f**3 + 0*f**3 + 865*f - 865*f. -f**3 Collect the terms in -93*f - 65*f + 9*f. -149*f Collect the terms in -33*q + 19*q + 12*q. -2*q Collect the terms in d**3 + 6*d**3 - 5*d**2 + d**3. 8*d**3 - 5*d**2 Collect the terms in 2*a + 29 - a + a. 2*a + 29 Collect the terms in -7*d**2 + d**2 + 2*d**2 - 1 + 2. -4*d**2 + 1 Collect the terms in 3*a**2 - 209403 + 209403. 3*a**2 Collect the terms in -7*a - 7*a + 14*a - 284*a**2. -284*a**2 Collect the terms in 2*k + 6*k + k. 9*k Collect the terms in -83124 + 83124 + 19*v**2. 19*v**2 Collect the terms in -41*c**3 + 141*c**2 - 2*c - 141*c**2. -41*c**3 - 2*c Collect the terms in 55*c + 29 - 11 - 18. 55*c Collect the terms in 15*a + 10*a - 17*a. 8*a Collect the terms in -13 + 2*y - y + 17. y + 4 Collect the terms in -4*h - 34*h**2 + 20*h**2 + 4*h + 13*h**2. -h**2 Collect the terms in 3*r - 5*r + 6*r. 4*r Collect the terms in 4*j + 64*j**2 - 4*j - 81*j**2. -17*j**2 Collect the terms in -4*t + 7*t + 9*t - 8*t - 5*t. -t Collect the terms in 1997*t + 2000*t - 3994*t. 3*t Collect the terms in -20 - 12*w**3 - 15*w**3 + 20. -27*w**3 Collect the terms in -169729*z + 169729*z + 2*z**2. 2*z**2 Collect the terms in -48*w + 11*w + 10*w + 11*w. -16*w Collect the terms in -15 + 13 + 0 - 6*h + 2. -6*h Collect the terms in -23 + 11 + 12 - 158*n. -158*n Collect the terms in -z**3 - 16937*z + 16937*z. -z**3 Collect the terms in -4*l**2 + 6*l**3 + 8*l**3 + 3*l**2. 14*l**3 - l**2 Collect the terms in 32*c + c - 6*c - 7*c. 20*c Collect the terms in 3*a + 0*a + 9*a. 12*a Collect the terms in 17 + 12*t - 17. 12*t Collect the terms in -25*v**3 - 3*v**3 - 20*v**3. -48*v**3 Collect the terms in 26 + 7*z**2 - 8 - 2 - 16. 7*z**2 Collect the terms in -1854 + 47*w + 1854. 47*w Collect the terms in -114*z - 37*z - 2*z. -153*z Collect the terms in 6*s**2 + 31*s**2 - 39*s**2. -2*s**2 Collect the terms in 8*o**2 - 4*o**2 - o**2. 3*o**2 Collect the terms in -i**3 + 76 - 76. -i**3 Collect the terms in -3*g**2 - 63 + 63. -3*g**2 Collect the terms in 95*p + 102*p - 195*p. 2*p Collect the terms in -58 + 58 + 58*g**3. 58*g**3 Collect the terms in 11*z**3 + 12*z**3 - 25*z**3 - 15*z**3. -17*z**3 Collect the terms in w**3 + 4*w**3 + 6*w**3. 11*w**3 Collect the terms in c**3 - 2*c**3 - 9*c**3. -10*c**3 Collect the terms in -3*v + 10*v + 12*v + 12*v. 31*v Collect the terms in 3*m**3 + 2*m**3 - 6*m**3. -m**3 Collect the terms in -109755 + 109755 + 4*h**3. 4*h**3 Collect the terms in 2*i + 0*i - 2*i - i. -i Collect the terms in 4*v - 13*v + 7*v. -2*v Collect the terms in 20*y - 5*y - 34*y. -19*y Collect the terms in 3880*f**2 - 1948*f**2 - 1933*f**2. -f**2 Collect the terms in -28*j**2 + 70*j**2 - 21*j**2 - 20*j**2. j**2 Collect the terms in -4 + 23*p**2 + 4 + 0. 23*p**2 Collect the terms in -13*d**2 + d**2 + 8*d**2 + 2*d**2. -2*d**2 Collect the terms in -1085*t - t**2 + 1085*t. -t**2 Collect the terms in 0*t**2 + 4*t**2 - 4*t**2 - t**2 + 3*t**2. 2*t**2 Collect the terms in -421*o**2 + 211*o**2 + 211*o**2. o**2 Collect the terms in -70*w**3 - 63*w**3 + 131*w**3. -2*w**3 Collect the terms in -t + 2*t**3 - 15*t**3 - 42*t**3 + 2*t. -55*t**3 + t Collect the terms in -306 + 306 + 41*r**2. 41*r**2 Collect the terms in -47*n + 136*n - 32*n - 54*n. 3*n Collect the terms in 210*x + 194*x - 403*x. x Collect the terms in 0*a - a + 8*a. 7*a Collect the terms in 1 - 1 + 4*f**2 + 55*f. 4*f**2 + 55*f Collect the terms in -28*m**2 + 39*m**3 + 28*m**2. 39*m**3 Collect the terms in o**3 - 648*o + 648*o. o**3 Collect the terms in -2290*s + 2290*s - 145*s**3. -145*s**3 Collect the terms in 9*t**2 + t**2 + 9*t**2 - 8*t**2. 11*t**2 Collect the terms in -14*q**2 - 6*q + 6*q. -14*q**2 Collect the terms in 72*g - 119*g + 48*g. g Collect the terms in 8673*g**2 - 12*g + 12*g - 8672*g**2. g**2 Collect the terms in -2*v**3 + 1 - 1 + 11163*v**2 - 11163*v**2. -2*v**3 Collect the terms in 8*m + 5*m**3 - 8*m + 5*m**3 - 12*m**3. -2*m**3 Collect the terms in -68*j**2 - 14*j**2 + 38*j**2. -44*j**2 Collect the terms in -3034*g + 3034*g + 6*g**2. 6*g**2 Collect the terms in -3*x**3 + 10 - x**3 + 3*x**3. -x**3 + 10 Collect the terms in -z**2 - 9*z**2 + 0*z**2 - z**2 + 8*z**2. -3*z**2 Collect the terms in -4*t**3 - 4*t**3 + 10*t**3 + 5*t**3. 7*t**3 Collect the terms in -149*y - 3*y - 45*y. -197*y Collect the terms in -15*l**3 + 4*l**3 + 5*l**3 + 19*l**3. 13*l**3 Collect the terms in 140*b - 28*b + 180*b. 292*b Collect the terms in 1 - 351*u**3 - 94*u**3 - 64*u**3. -509*u**3 + 1 Collect the terms in -2170*q**2 - 3 + 3 + 3*q**3 + 2170*q**2. 3*q**3 Collect the terms in 3*q + 0*q - 3*q - 3*q + 4*q. q Collect the terms in -19*v**3 - 16*v**3 - 13*v**3 + 60*v**3 - 14*v**3. -2*v**3 Collect the terms in -45*o**3 - 66*o**3 + 35*o**3. -76*o**3 Collect the terms in 4 - 45*f**3 - 1 - 3. -45*f**3 Collect the terms in -20 + 56 - 19 - 17 - 2*i. -2*i Collect the terms in 5*o**3 - 8*o**3 + 4*o**3. o**3 Collect the terms in 2*i + 58*i - 2*i. 58*i Collect the terms in -60*i**3 - 81*i**3 - 24*i**3. -165*i**3 Collect the terms in -5*u**2 + 10*u**2 - 4*u**2 + 2*u**2. 3*u**2 Collect the terms in 2*q**2 - 18*q + 0*q**2 - 81*q. 2*q**2 - 99*q Collect the terms in -169 - l + 169. -l Collect the terms in 291*n**2 - 1062*n**2 - 413*n**2. -1184*n**2 Collect the terms in -30*l**3 + 14 - 8*l**3 - 14. -38*l**3 Collect the terms in 0*n + 69*n**2 + n - 101*n**2 - 2*n. -32*n**2 - n Collect the terms in 128 - 128 + 8*w. 8*w Collect the terms in -3*m + 104 + 4*m - 104. m Collect the terms in -3*w**2 + 13*w**2 - 2*w**2 - 8*w**2 - w**2. -w**2 Collect the terms in f**3 + 79*f**3 + 16*f**3. 96*f**3 Collect the terms in -50*b**3 + 14*b**3 + 27*b**3 + 21*b**3. 12*b**3 Collect the terms in 127*k**3 - 73*k**3 + 87*k**3. 141*k**3 Collect the terms in -10733 + 3*p + 10733. 3*p Collect the terms in 2 - 22*s - 16*s - 5. -38*s - 3 Collect the terms in -13 + 13 - 80*i. -80*i Collect the terms in -7*z + 2*z - 7*z + 0*z. -12*z Collect the terms in 2*d - 2*d - 134*d**2 - 133*d**2. -267*d**2 Collect the terms in -8*k**2 - 12*k**2 - 6*k**2 + 9*k**2. -17*k**2 Collect the terms in 9*i - 17*i + i - 3*i. -10*i Collect the terms in 108 - 227 - 32*a + 119. -32*a Collect the terms in 8 + 20*d**3 - 10 + 2 + 3*d. 20*d**3 + 3*d Collect the terms in -34*y**3 + 386 - 386. -34*y**3 Collect the terms in 116 + r - 57 - 59. r Collect the terms in 26*l + 28*l - 51*l. 3*l Collect the terms in -27*m**2 - 3 + 3 + 37*m**2 + 12*m**2. 22*m**2 Collect the terms in q**3 - 45 + q**3 - 49 + 94. 2*q**3 Collect the terms in 11*m**2 - 7*m**2 + 56*m**2. 60*m**2 Collect the terms in 4*w**2 + 2*w - 2*w - 34. 4*w**2 - 34 Collect the terms in -44*x**2 + 92*x**2 - 20*x**2. 28*x**2 Collect the terms in 7*j - j + 2*j. 8*j Collect the terms in 10*s**2 - 23*s**2 + 8*s**2. -5*s**2 Collect the terms in -4*g + 2*g - 4*g + 6*g - 2*g. -2*g Collect the terms in 6*a**3 + 3*a**3 - 4*a**3 + 8*a**3. 13*a**3 Collect the terms in -12 + 0 + 12 - w**3. -w**3 Collect the terms in 859 + 3*r**2 - 859. 3*r**2 Collect the terms in 97*t**2 + 44*t**2 + 48*t**2 - 242*t**2 + 52*t**2. -t**2 Collect the terms in -4*z**2 + 9*z**3 - 103*z**3 + 4*z**2. -94*z**3 Collect the terms in 11*c + 9*c - 46*c. -26*c Collect the terms in 3*w**2 - 43*w**3 + 48*w**3 - 3*w**2. 5*w**3 Collect the terms in 3*x - x**2 - 3*x. -x**2 Collect the terms in 2*t**3 + 38993 - 5*t**3 - 38993. -3*t**3 Collect the terms in -2*i**2 + i**2 + 121 + 35. -i**2 + 156 Collect the terms in -159*a + 49*a + 59*a + 53*a. 2*a Collect the terms in 40*j**3 - 2*j - 27*j**3 + 2*j. 13*j**3 Collect the terms in 1398*b**2 + 0 + 1 - 1 - 1392*b**2. 6*b**2 Collect the terms in -39*x**3 + 14*x**3 + 11*x**3 + 9*x**3. -5*x**3 Collect the terms in -50*l**2 + 106*l**2 - 58*l**2. -2*l**2 Collect the terms in -51*u - 49*u + 87*u. -13*u Collect the terms in 1 - 16*p**2 - 18*p**2 + 16*p**2. -18*p**2 + 1 Collect the terms in 12*y**3 + 24*y**3 - 95*y + 93*y. 36*y**3 - 2*y Collect the terms in -48 + 17*j**2 + 21 + 28. 17*j**2 + 1 Collect the terms in 25*d + 280 - 560 + 280. 25*d Collect the terms in -309*d + 2 - 1 - 3 - 93*d. -402*d - 2 Collect the terms in 24 - 4*p - 24. -4*p Collect the terms in -35*t - 45*t - 58*t. -138*t Collect the terms in -4624*y**2 + 4624*y**2 - 5*y**3. -5*y**3 Co
{ "pile_set_name": "DM Mathematics" }
ate the highest common divisor of 297 and k. 33 Suppose 0 = -15*m + 30 + 30. Suppose 3*f - 19 = v, 2*v + 3*v - 9 = 2*f. What is the greatest common divisor of f and m? 4 Let j(n) = -n**3 - 6*n**2 + 15*n + 158. Let g be j(-11). What is the greatest common factor of 46 and g? 46 Let w be (-336)/15 + 2/5. Let t = 32 - w. Calculate the highest common divisor of 36 and t. 18 Suppose -3*g = -5*g. Suppose f = 5*m - 449, g*f - 271 = -3*m - f. What is the greatest common factor of 36 and m? 18 Let v = -43 - -49. Suppose 2*h + v - 14 = 0. Calculate the greatest common divisor of 20 and h. 4 Suppose 14 = 3*j - 16. Suppose -m - 7 = -j. What is the highest common divisor of 1 and m? 1 Let d(q) = -2*q - 1. Suppose 10 = -5*y + w, 5 = y + w + 1. Let r be d(y). Let t = 6 - r. Calculate the greatest common divisor of 5 and t. 5 Suppose 0 = 10*v - 9*v - 21. Calculate the highest common factor of v and 336. 21 Suppose -k - 48 = -4*k. What is the highest common factor of 112 and k? 16 Let o(p) = -p - 1. Let a(u) = 10*u + 2 + 3 + 0 - 3*u. Let g(w) = -a(w) - 4*o(w). Let k be g(-5). What is the greatest common factor of 2 and k? 2 Suppose -549 = 73*a - 82*a. What is the highest common divisor of 61 and a? 61 Suppose 2*t - 350 = 4*m, -4*t = 4*m - 8*t + 340. Let i = m + 92. Calculate the highest common factor of i and 6. 2 Suppose -s + 127 = i, -3*s = 4*i - 589 + 205. Calculate the highest common factor of s and 682. 62 Let u = 590 - 142. What is the greatest common divisor of 64 and u? 64 Suppose 2*p - 9 = -1. Suppose 0*x + p*x + 28 = 0. Let t = 7 - x. Calculate the highest common divisor of 126 and t. 14 Let y = -108 - -228. Calculate the highest common factor of y and 45. 15 Let d(k) = k**2 + 4*k + 39. Let a be d(-10). Calculate the greatest common divisor of a and 165. 33 Suppose 3276 = 195*a - 159*a. Calculate the greatest common divisor of a and 143. 13 Let k(x) = x**2 - 3*x - 68. Let c be k(-9). Calculate the greatest common factor of 2 and c. 2 Let a be (-27)/(-6)*(-40)/(-15). What is the greatest common divisor of 768 and a? 12 Let y = -10 + 22. Suppose 14 = -v + 3*x, 0 = 3*x - 7*x - 8. Let l = 4 - v. What is the greatest common divisor of y and l? 12 Suppose -18*d = -4*d - 2100. What is the highest common factor of d and 375? 75 Suppose 10*d = 13*d - 18. Let v be d + 2/(0 - 1) + 3. Calculate the highest common factor of v and 77. 7 Let m be (4/(-7))/(6/(-21)). Suppose -6*k - 90 = -9*k. Suppose -m*h = -h - k. What is the highest common factor of h and 10? 10 Let y(j) be the first derivative of j**3/3 - 7*j**2/2 + 25*j - 13. Let o be y(15). Calculate the greatest common divisor of o and 58. 29 Let f be 3/(-9) + (-4)/6. Let l be (3 + -4)*f - -3. Calculate the greatest common factor of 36 and l. 4 Suppose 3*q - 198 = 7*f - 11*f, 0 = -2*q + 4*f + 132. What is the greatest common factor of 22 and q? 22 Suppose -11 = 2*g - 5*q, -4 = 6*g - 2*g - 4*q. Suppose 75 - 41 = g*v. What is the highest common factor of v and 136? 17 Let h = 19 - 15. Suppose -h*m = -181 - 11. Calculate the greatest common divisor of m and 12. 12 Suppose 3*h + 21 = 5*h + 5*z, 5*h - 3*z - 6 = 0. Suppose -h*w = 4*i - 117, -5*w = 5*i - 77 - 68. What is the greatest common factor of 30 and i? 30 Let r = 8 + -4. Suppose r*d - 8*d - 128 = 0. Let y = d - -51. What is the greatest common factor of y and 190? 19 Suppose -8*j + 36 = -7*j. Suppose 7*u - 10*u + j = 0. What is the greatest common divisor of 84 and u? 12 Let p(m) = 33*m**2 + 14*m - 25. Let i be p(2). Let c = 47 - 32. Calculate the highest common divisor of c and i. 15 Let b be ((-6)/(-9))/(30/2385). What is the greatest common divisor of b and 636? 53 Suppose g + 119 - 155 = 0. Let d = 3 - 4. Let r be (-4)/6*d*27. Calculate the greatest common factor of g and r. 18 Let m be (-6 - -5)/(1/(-256)). What is the highest common divisor of m and 112? 16 Suppose 3*w - w = 5*i - 118, -2*w - 46 = -2*i. Let o be -2*1 + (-310)/(-5). Calculate the highest common divisor of i and o. 12 Let f be (-9)/(27/(-30)) - -2. Let d = f - 5. Suppose -4*a + d*p - 4*p = -16, -3*a + 2*p + 12 = 0. What is the greatest common divisor of a and 36? 4 Let b(z) = 20*z - 6. Let y be b(2). What is the highest common divisor of 102 and y? 34 Suppose -5*y = 5*q - 45, -3*q - 2*y = -7*y + 5. Let f = q + 4. Let p be 2/(368/180 - 2). Calculate the highest common factor of f and p. 9 Suppose g - 4*g - 2*z = 5, 0 = 4*g + 5*z + 2. Let x be (6/(-4))/(g/10). What is the highest common divisor of x and 2? 1 Let q = -1505 + 1701. Calculate the greatest common factor of 168 and q. 28 Let y = 213 + -203. Calculate the greatest common factor of 50 and y. 10 Let c be 6/4 + -2 + 151/2. Let m be 508/17 - (-2)/17. What is the greatest common divisor of m and c? 15 Let f(y) = -y**3 - 9*y**2 - 38*y + 6. Let z be f(-6). Calculate the highest common factor of z and 9. 9 Let v be (-30)/(-20)*16/6. Suppose -2*o = v*m + 3*o - 124, 122 = 5*m - 2*o. Calculate the highest common divisor of 286 and m. 26 Suppose -5*r = -3*h + 37, -r = -0 + 2. Suppose 60 = z + h. Let p = z - 31. Calculate the greatest common factor of p and 50. 10 Suppose 0 = -2*i + 5*i - 24. Suppose 0 = -4*s + i, -9*a + 5*a + 3*s + 54 = 0. Calculate the greatest common factor of 135 and a. 15 Let c(s) = 5*s**2 - s. Let h be c(1). Let f be 0/((-1)/(h/(-4))). Let n = 22 + f. What is the greatest common factor of n and 44? 22 Let s = -135 + 239. What is the greatest common factor of s and 26? 26 Let l = 22 - 23. Let i be 1/(l/(-8))*9/4. Let s = -4 - -16. Calculate the greatest common factor of i and s. 6 Let l = -10 + 16. Let f be (4/6)/(l/(-45)). Let i be (6/f)/((-1)/5). What is the greatest common factor of 4 and i? 2 Let f be 12/((-1)/6*-9). Suppose -4*v - 3 - f = 3*a, a = -4*v - 9. Let s be 108*1*v/(-3). What is the highest common divisor of 9 and s? 9 Suppose -13*u + 7*u = -702. Calculate the greatest common divisor of 171 and u. 9 Let t(c) = -c**3 + 10*c**2 + 12*c - 6. Let v be t(11). Let s be 125 - (0/1)/(-3). Suppose -v*n + 55 + s = 0. What is the highest common factor of 9 and n? 9 Suppose -5*k + 17 = 2. Suppose k = 5*n - 2*n. What is the greatest common factor of n and 8? 1 Let h = -37 + 52. Let z(u) = u**3 + 16*u**2 - 18*u - 12. Let j be z(-17). Suppose j*x + 3 - 33 = 0. Calculate the highest common divisor of h and x. 3 Let d be (-11 + (-189)/(-15))/(2/55). Calculate the greatest common factor of 396 and d. 44 Suppose -3*u - 15 = -3. Let p be 23/4 - 1/u. Suppose 2*y - 5*v - 4 = 0, -3*v - p = 5*y - 47. Calculate the greatest common factor of 7 and y. 7 Let w(k) = -7*k + 172. Let l be w(18). What is the highest common factor of 138 and l? 46 Suppose 0 = -3*h - 56 + 77. Suppose 441 = h*x - 0. What is the highest common factor of 9 and x? 9 Suppose 3*y = -6, -3*c + 5*c = 5*y - 22. Let x be (c/(-12))/((-3)/(-333)). Let q = 258 - x. What is the greatest common factor of q and 10? 10 Let k be 675/35 - -4*(-2)/28. Calculate the greatest common divisor of k and 361. 19 Let g(z) = -18*z + 14. Let w be g(-17). What is the highest common factor of w and 10? 10 Suppose 5*h - 2 = 148. Let y = h + -29. What is the highest common factor of 1 and y? 1 Suppose -5*k + 2*j + 64 = 0, -2*k - 7 = -3*j - 37. Suppose -52*n = -60*n + 216. Let r be (-1 + 2)*48*n/12. What is the highest common factor of r and k? 12 Let q = -27 - -214. Suppose 0*f + 4*f - 4*s - 80 = 0, 0 = f + 2*s - 11. What is the greatest common divisor of q and f? 17 Let k(z) = z**3 - 9*z**2 + 26*z + 6. Let x be k(6). Calculate the highest common divisor of x and 9. 9 Let s = 321 + -308. Calculate the highest common factor of 637 and s. 13 Suppose k = -2*k - 24. Let h be k/(-3) + (-14)/21. Let o be (-4)/h - 0 - -32. What is the highest common divisor of 10 and o? 10 Let t be ((-3)/(-1))/(-3)*(-16 + 6). Calculate the greatest common divisor of 95 and t. 5 Let b be (-144)/(-9) + -2*2. What is the highest common divisor of 60 and b? 12 Suppose 0 = 3*b - 5*d - 98, 10 = -b + 2*d + 44. Calculate the highest common factor of b and 13. 13 Let r(z) = 3*z - z + 17 + z**2 - 25. Let l be r(6). Let s = l + -31. What is the highest common factor of 45 and s? 9 Let r be ((-32)/20 + 2)*880. What is the greatest common divisor of r and 22? 22 Let h(p) = p**2 + 12*p - 14. Let b be h(-15). Let a(v) = -30*
{ "pile_set_name": "DM Mathematics" }
5*g))*(-2*g - 3*g + 3*g) to r + j*g**2 + q*g and give j. -16 Express -8*t - 3*t + 2*t - 1 - 31*t as a + d*t and give d. -40 Express (-17*s**2 - 9*s**3 + 17*s**2)*((-3 + 2 + 3)*(-1 + 1 + 2) - 2 + 0 - 1) as y*s + n*s**3 + u*s**2 + w and give u. 0 Rearrange 11*o + 30*o - 13*o to the form c*o + k and give k. 0 Rearrange 19*v**3 - 2 + 3*v**2 - 3*v**2 - 22*v**3 + 3*v to the form g*v**3 + x + u*v + j*v**2 and give u. 3 Express -153 + 101 - 3*g + g in the form t + j*g and give t. -52 Express -2*p**2 + p**3 + p - 35*p**4 + 7*p**2 + 36*p**4 in the form v + y*p + r*p**3 + d*p**2 + x*p**4 and give r. 1 Express (3 + g - 3)*(0 + 0 - 2) - 4*g + 2*g + g + 2*g - g + 0*g - 2*g - 2*g + 5*g + 26*g - 13 - 26*g - 2*g in the form m*g + a and give m. -3 Rearrange 1092*w**4 - 1091*w**4 + 3 - 3 - 3*w**2 + w**3 to the form i + d*w**3 + o*w**2 + b*w**4 + v*w and give d. 1 Express 5*l**2 - l**2 + l**3 - 3*l**2 + 24 in the form c + g*l + q*l**3 + v*l**2 and give c. 24 Rearrange (0 - 4 + 0)*(-2*k + 0 + 0) + k - 2*k + 3*k to g*k + h and give g. 10 Express -4 + 10*c - 1 - 26*c + 19*c in the form o*c + p and give o. 3 Rearrange (2*g + 2*g**4 - 2*g)*(-9 + 27 + 16)*(5 - 2 - 2) to k*g**3 + l*g**2 + p*g + d + r*g**4 and give r. 68 Rearrange 4 - 2 - 20*m**2 - 2 to the form l*m**2 + j*m + x and give l. -20 Rearrange 3*z + 2*z + 0 - 3*z - 8 to u + i*z and give i. 2 Rearrange 6*a**4 + 2 + 5*a**4 - 9*a**4 + a**2 - a**3 to n*a + d*a**3 + f + m*a**4 + k*a**2 and give m. 2 Express 37*d**2 + 19*d**2 - 7*d**2 in the form f*d**2 + c + o*d and give f. 49 Express 52*z - 60*z + 42*z - 2 in the form c*z + k and give k. -2 Rearrange 44*z**2 - 91*z**2 + 55*z**2 to a*z**2 + d + k*z and give a. 8 Express -2*l - l + 3*l**2 - 5*l**4 + l as i + t*l**2 + d*l + j*l**4 + n*l**3 and give j. -5 Express (-4 + 3 + 4)*(-d + 4 - 4 + (-1 + 2 + 0)*(-3*d + 3*d + 2*d)) + 0*d + 4*d - d as s + a*d and give a. 6 Express 1 + 0*r**2 - 2*r**2 + 8*r**3 + 4 as k*r**2 + x + s*r + n*r**3 and give k. -2 Express 21*j**3 - 8*j - 24*j**3 + j + 3*j**2 - 4*j**2 + 1 in the form r*j**2 + v*j + i + p*j**3 and give r. -1 Rearrange -4*s**2 + s**2 + 58 + 2*s**2 + 0*s**2 to h*s + y + p*s**2 and give p. -1 Express 1 + k**3 + 4 - 8 - 5*k as g*k**2 + r + d*k**3 + q*k and give d. 1 Rearrange (-4*w + 0 + 0)*(-3*w - w - 5*w) - w**2 + 2*w**2 + w**2 + (-3*w**2 + w**2 + w**2)*(2 - 3 - 1) to j + o*w**2 + g*w and give j. 0 Express 3*q**4 + 14*q + q**2 - 2*q**4 - 7*q + 3 in the form a + j*q**2 + r*q**4 + p*q**3 + s*q and give a. 3 Express -18*q - 35 + 66 - 33 in the form h + v*q and give h. -2 Express (-g**2 + 0 + 0)*(-6 + 3 - 7) in the form b*g**2 + f + d*g and give b. 10 Rearrange 4*b + b + 27*b to the form m + k*b and give k. 32 Express 11*n**2 - 18*n**2 - 32 + 23 in the form l + s*n**2 + y*n and give s. -7 Rearrange (6 + 4 + 18 - 7)*(-o**3 + 2 - 2) to a*o + s*o**2 + p*o**3 + b and give p. -21 Express 6*p**3 + 3*p**3 + 0*p**3 + (2 - 2 + 4)*(-5*p**3 + 2*p**3 + 2*p**3) in the form l*p + q + o*p**3 + c*p**2 and give o. 5 Express 25*g**4 + 3*g**2 + 30*g**3 - 32*g**3 + 8*g**2 - 12*g**2 as l*g + w*g**3 + k*g**2 + d*g**4 + s and give k. -1 Rearrange (-2*y + y + 0 + 1)*(-5*y - 6*y - 6*y) to k*y**2 + x*y + w and give w. 0 Rearrange -2*y - y**3 + 2*y + 0*y + 3*y + 1 - 4*y**2 + 2*y**4 to k*y**3 + l*y**4 + i*y**2 + s*y + u and give u. 1 Express 5*d - 6*d + d - 2*d in the form q*d + l and give q. -2 Express c**2 + 4 - 4 + (3*c - 4*c + 3*c)*(-2*c + 2*c - 2*c) + 2 - 2*c**2 - 2 as s*c + w + q*c**2 and give q. -5 Express (2*z + 1 - 1)*(25*z**3 - 10*z**3 + 4 - 14*z**3) in the form u*z + j*z**4 + w*z**3 + i*z**2 + g and give u. 8 Rearrange (-c - 5*c + c)*(2 - 1 - 5) + 0 + 0 + 3*c - 2*c + 0*c + 4*c + (-1 + 1 - 2)*(c - 3*c + c) to t*c + z and give t. 27 Rearrange 40*z - 12*z + 6*z to the form t*z + b and give t. 34 Express 9*n**3 + 28*n**2 - 19*n**3 + 1 + 11*n**3 in the form u*n**2 + m*n**3 + q + c*n and give c. 0 Express 58*q - 83*q - 1 + 1 in the form j + i*q and give i. -25 Rearrange -3*a - 4*a - 2*a + 0 + 0 + a + a - 8*a + 2*a + (1 + 1 - 1)*(a + 2*a - 5*a) to the form r*a + v and give r. -15 Express (2 - 2 - p + 1)*(p - 4*p + 6*p)*(0 + 4 + 0) in the form g*p**2 + t + y*p and give y. 12 Express -60*a**2 + 6*a**3 + 0*a**3 - 7*a**3 + 2*a**3 in the form c + h*a**2 + d*a**3 + n*a and give d. 1 Express 22 + 2*c**4 - 20 + c**2 + c**2 - 12*c in the form d*c + u + r*c**3 + w*c**2 + b*c**4 and give d. -12 Rearrange -6 + 10*m**4 + m**2 + 4*m**4 - 5 - 16*m**4 to the form f + n*m**4 + i*m + z*m**3 + q*m**2 and give q. 1 Express 4*c**3 + 3 - c**3 - 1 as v*c + w*c**2 + b*c**3 + k and give k. 2 Rearrange (-1 + 0 - 1)*(3*f**3 + 10*f**2 - 13*f**2 - 4*f**3 - 10*f) to l + p*f**3 + g*f**2 + a*f and give a. 20 Express (-2*q**2 + 0*q**2 + 8*q**2)*(-2*q - 3 + 2*q - 2*q**2) as k*q**3 + r*q + d + i*q**2 + x*q**4 and give i. -18 Rearrange -2*t**3 - 1 - 18*t + 18*t - t**2 to the form b*t + x + y*t**3 + j*t**2 and give x. -1 Express -k - 5 + 5 + (-4 + 4 + k)*(7 - 2 - 3) in the form r + w*k and give w. 1 Express (-f + f**3 + f)*(30 + 8 + 21) as i*f + u*f**3 + k*f**2 + v and give u. 59 Rearrange 15 - 7 - 4 - 24*t - 1 to the form w + l*t and give w. 3 Rearrange -7 + 12 + 5*p**2 - 3 to h*p + j*p**2 + f and give j. 5 Rearrange (5*v + 12*v - 6*v)*(-4 + 2*v**2 + 4 + v) to a + r*v**2 + o*v**3 + g*v and give o. 22 Express x + 67 + 29 + 23 - 3*x in the form q*x + w and give q. -2 Rearrange -u**3 - 4*u**2 + 0*u**2 - 7 - 6*u**2 + u**2 to the form o*u**3 + x*u**2 + b + y*u and give x. -9 Express (1 + 4 - 4)*(-h + 4*h - h + (h + 2*h - h)*(2 - 1 + 0) - 3*h + 2*h + 2*h)*(2 - 2 + 3) in the form d*h + y and give d. 15 Rearrange (-4*a**2 + 0*a**2 - 2*a**2)*(-2*a + 0*a - a) - 3*a**3 + 3*a**3 + 6*a**3 to the form t + m*a + i*a**3 + u*a**2 and give t. 0 Rearrange (-44*y + 25*y**4 + 44*y)*(-5 + 1 + 2 + 1 - 5 + 1 + (-1 + 2 + 0)*(-4 + 0 + 3)) to h*y**2 + w + l*y + m*y**4 + z*y**3 and give z. 0 Rearrange 7 - 5*l + 3*l**3 + 5*l - 4 to s*l**2 + y + t*l**3 + r*l and give y. 3 Express 1 + 4 - 10 + 4*p + 4 as u + y*p and give y. 4 Express 1 - 8*c + 7*c + 0*c + (4 - 5 + 2)*(3*c - 6*c + c) as m*c + v and give v. 1 Rearrange -30 + 14 + 16 - s**2 + 8*s - s**3 to the form k*s + v*s**3 + z + g*s**2 and give k. 8 Rearrange (6*n + 12*n + 4*n)*(-4*n + 2*n - n) to k*n**2 + s + y*n and give k. -66 Express 33*p - 33*p + 38*p**2 - 6*p**2 as j*p**2 + a*p + q and give j. 32 Express -h**2 + h + 2*h**2 - 2*h**2 + (6 - 6 - 4*h**2)*(0 - 2 + 5) as o*h + b + d*h**2 and give o. 1 Express v**2 + 0 + 0 - 4*v**2 + 2*v**2 + 0*v**2 + (-v + 4*v - 4*v)*(-4*v + 5*v + 2*v) - 3 + 3 - 2*v**2 as x*v + w + o*v**2 and give o. -6 Express (0 + 2 - 3)*(f**2 - 229 - 16*f + 229) in the form t*f**2 + z*f + y and give t. -1 Rearrange -1 + 2*o - 103*o**2 + o + 106*o**2 to v + y*o**2 + w*o and give y. 3 Express 2*d**3 + 5*d + 0*d + 2*d**3 - 2*d as n*d**2 + q*d + o*d**3 + z and give q. 3 Rearrange -3*q**2 - 2*q**3 - 2 + 3*q**3 - 3*q**2 to the form s*q**2 + v + u*q**3 + g*q and give v. -2 Rearrange -7*q**2 - 34*q**2 + q**2 - 7*q**2 to the form f*q**2 + m + s*q and give f. -47 Express (-8 - 7*y**2 + 8)*(-3*y + 3*y - 2*y) - 10*y**3 + 25*y - 25*y as c + o*y**2 + h*y + v*y**3 and give v. 4 Rearrange (4*q**3 - q**3 - q**3)*(-11*q - 4*q + 6*q) - 3*q**3 + 3*q**3 - 2*q**4 to the form y*q**3 + j + t*q + o*q**4 + b*q**2 and give o. -20 Rearrange 73*k - 50*k - 62*k to x*k + h and give x. -39 Express (0 + 0 + 2)*(-w + 0*w + 6*w)*((7 - 3 - 2)*(-2 + 0 + 3) - 2 + 0 + 1) in the form x + b*w and give b. 10 Express (-2*t - 6*t + 5*t + (1 - 6 + 3)*(-t + 0*t - t))*(0*t - 2*t + 3*t) + 0 + t**2 + 0 + 2*t - 2*t + t**2 in the form q + k*t**2 + b*t and give k. 3 Rearrange (-3*p**2 + p**2 + 4*p**2)*(5 - 5 + 2*p) + p**2 + p**3 - p**2 + 28 + p**3 - 28 + p to the form h*p + b*p**2 + w + f*p**3 and give f. 6 Express m**3 + 3*m**2 - 5*m**4 + m**2 + 41 - 43 - 2*m - 2*m**2 in the form n*m**2 + l*m**3 + d*m + r*m**4 + k and give n. 2 Express 31*z**2 + 32*z**2 - 18*z**2 as p*z + c*z**2 + y and give c. 45 Express -5*z - 616 + 621 - 17*z as f + r*z and give r. -22 Rearrange -11*i + 2*i - 8*i - 2*i to the form o*i + n and give n. 0 Express n**2 - 2*n**2 - 2 - n**3 + 0*n + 0*n as c*n**2 + y*n + s + x*n**3 and give s. -2 Express -7 - 4*h + h**3 + 3*h**4 - 2*h**4 + 2*h**2 + 6*h in the form s*h**3 + f*h
{ "pile_set_name": "DM Mathematics" }
f**2/3 + 24*f = 0 for f. 0, 2/17, 9 Factor 3*i**4 - 114*i**3 + 963*i**2 + 2280*i + 1200. 3*(i - 20)**2*(i + 1)**2 Factor -y**3/9 + y**2/9 + 10*y/9 + 8/9. -(y - 4)*(y + 1)*(y + 2)/9 Find d such that 5*d**4 + 92*d**3 + 111*d**2 - 140*d - 68 = 0. -17, -2, -2/5, 1 Suppose 3*p**5/4 + 27*p**4/4 + 21*p**3/2 - 51*p**2/2 - 45*p/4 + 75/4 = 0. What is p? -5, -1, 1 Factor 8*s**2 + 1201*s + 150. (s + 150)*(8*s + 1) Factor q**2/6 - 17*q/6 - 28. (q - 24)*(q + 7)/6 Factor -2*d**3 - 164*d**2 - 1490*d - 3600. -2*(d + 5)**2*(d + 72) Factor w**4/4 + 27*w**3/8 + 57*w**2/8 + 11*w/4. w*(w + 2)*(w + 11)*(2*w + 1)/8 Factor -y**4/2 - 6*y**3 - 9*y**2 + 70*y + 147/2. -(y - 3)*(y + 1)*(y + 7)**2/2 Factor 3*s**5/8 - 9*s**3/8 + 3*s**2/4. 3*s**2*(s - 1)**2*(s + 2)/8 Find x, given that 2*x**5 - 850*x**4 + 90736*x**3 - 89888*x**2 = 0. 0, 1, 212 Determine z, given that 50653*z**3 + 28749*z**2 + 5439*z + 343 = 0. -7/37 What is l in -2*l**5 + 16*l**4 + 8*l**3 - 64*l**2 = 0? -2, 0, 2, 8 Find g such that -3*g**3 + 840*g**2 - 59631*g + 115926 = 0. 2, 139 Factor 3*y**3/2 + 33*y**2/2 - 63*y. 3*y*(y - 3)*(y + 14)/2 Factor k**5 - k**4 - 9*k**3 + 9*k**2. k**2*(k - 3)*(k - 1)*(k + 3) Determine i, given that -i**4/3 + 11*i**3/3 - 41*i**2/3 + 61*i/3 - 10 = 0. 1, 2, 3, 5 Solve -3*q**2 + 2802*q - 654267 = 0 for q. 467 Factor 5*w**3 - 165*w**2 + 460*w - 300. 5*(w - 30)*(w - 2)*(w - 1) Solve -33*h**3/4 + 27*h**2/4 + 18*h + 3 = 0 for h. -1, -2/11, 2 Factor 7*u**3 + 59*u**2 - 190*u + 88. (u - 2)*(u + 11)*(7*u - 4) Let 5*z**4 + 22*z**3 - 54*z + 27 = 0. What is z? -3, 3/5, 1 Determine h so that h**3/2 - 73*h**2/2 + 1295*h/2 + 1369/2 = 0. -1, 37 Determine l so that l**5/4 - 3*l**4/8 - 3*l**3/2 + 7*l**2/8 + 3*l/4 = 0. -2, -1/2, 0, 1, 3 Factor j**3/7 - j**2 - 326*j/7 + 96. (j - 21)*(j - 2)*(j + 16)/7 Factor 3*g**2 - 123*g + 120. 3*(g - 40)*(g - 1) Factor -3*c**3 - 3420*c**2 - 1299600*c - 164616000. -3*(c + 380)**3 Find v such that 41472*v**4 - 23616*v**3 + 4514*v**2 - 328*v + 8 = 0. 1/16, 2/9 Solve h**5/4 + 11*h**4/2 - 167*h**3/4 + 13*h**2 + 172*h + 112 = 0. -28, -1, 4 Solve 7*q**4 - 23*q**3 + 18*q**2 = 0 for q. 0, 9/7, 2 Solve -2*z**5/15 - 272*z**4/5 - 808*z**3/15 + 2452*z**2/15 + 1358*z/5 + 1628/15 = 0. -407, -1, 2 Determine x, given that 2*x**2 + 64*x - 136 = 0. -34, 2 Factor 2*n**4/5 + 14568*n**3/5 + 26528328*n**2/5. 2*n**2*(n + 3642)**2/5 Factor -14*q**2 - 46*q + 60. -2*(q - 1)*(7*q + 30) Find g such that -50*g**5/3 + 280*g**4/3 - 134*g**3 - 92*g**2/3 + 448*g/3 - 64 = 0. -1, 4/5, 2, 3 Factor -2*v**4/3 + 116*v**3 - 5046*v**2. -2*v**2*(v - 87)**2/3 Suppose -3*u**3/5 + 9*u**2/5 + 6*u - 72/5 = 0. Calculate u. -3, 2, 4 Suppose f**3/6 - 53*f**2/3 - 218*f/3 - 220/3 = 0. Calculate f. -2, 110 Factor -3*u**2 + 411*u - 408. -3*(u - 136)*(u - 1) Let -2*r**4 + 4*r**3 + 74*r**2 + 164*r + 96 = 0. Calculate r. -3, -2, -1, 8 Factor 5*x**4 + 580*x**3 - 625*x**2 - 4620*x + 7020. 5*(x - 2)**2*(x + 3)*(x + 117) Factor c**3 + 14*c**2 + 40*c. c*(c + 4)*(c + 10) Solve w**3 - 7*w**2 - 21*w + 27 = 0. -3, 1, 9 Solve -5*a**4 + 130*a**3 + 2765*a**2 - 9130*a + 6240 = 0 for a. -16, 1, 2, 39 Factor -2*q**3 - 3*q**2 - q. -q*(q + 1)*(2*q + 1) Solve -2*o**2/13 + 3624*o/13 - 3622/13 = 0 for o. 1, 1811 Find z such that z**3 - 18*z**2 + 864 = 0. -6, 12 Suppose -z**2/5 + 49*z/5 - 258/5 = 0. Calculate z. 6, 43 Let -5*u**5 - 215*u**4 - 610*u**3 - 400*u**2 = 0. What is u? -40, -2, -1, 0 Suppose -a**2/7 - 498*a/7 = 0. What is a? -498, 0 Factor 2*n**4 + 10*n**3 - 26*n**2 + 14*n. 2*n*(n - 1)**2*(n + 7) Let 3*v**2 - 32*v/3 - 16/3 = 0. Calculate v. -4/9, 4 Factor 4*j**3 - 4*j**2. 4*j**2*(j - 1) Determine g so that -21*g**4 - 174*g**3 - 363*g**2 - 90*g = 0. -5, -3, -2/7, 0 Factor i**3/4 + 41*i**2/4 - 273*i/4 + 423/4. (i - 3)**2*(i + 47)/4 Factor y**5/2 - 2*y**4 - 41*y**3/2 + 118*y**2 - 88*y - 224. (y - 4)**3*(y + 1)*(y + 7)/2 Find b such that -19*b**3/6 + 13*b**2/6 + b = 0. -6/19, 0, 1 Find i such that 3*i**4 - 39*i**3 - 87*i**2 - 45*i = 0. -1, 0, 15 Suppose 2*v**2/3 - 52*v/3 = 0. What is v? 0, 26 Factor 3*m**5 + 21*m**4 - 198*m**3 + 444*m**2 - 312*m. 3*m*(m - 2)**3*(m + 13) Suppose -2*a**2 - 1024*a + 4128 = 0. What is a? -516, 4 Determine i so that -i**4 + 25*i**3 - 216*i**2 + 704*i - 512 = 0. 1, 8 Let -4*d**4/3 + 14*d**3/3 - 6*d = 0. Calculate d. -1, 0, 3/2, 3 Factor 4*n**2 - 32*n - 80. 4*(n - 10)*(n + 2) Determine b so that 5*b**2 + 800*b - 805 = 0. -161, 1 What is a in -a**3/3 + 52*a**2/3 - 676*a/3 = 0? 0, 26 Factor z**4/3 + 2*z**3/3 - z**2/3 - 2*z/3. z*(z - 1)*(z + 1)*(z + 2)/3 What is k in 3*k**3/8 + 27*k**2/8 + 45*k/8 + 21/8 = 0? -7, -1 Determine a so that 3*a**2 + 285*a - 2808 = 0. -104, 9 Factor -g**3 + 92*g**2/7 - 167*g/7 + 22/7. -(g - 11)*(g - 2)*(7*g - 1)/7 Factor 4*s**3 + 44*s**2 - 56*s - 96. 4*(s - 2)*(s + 1)*(s + 12) Factor -3*o**4/2 + 309*o**3/2. -3*o**3*(o - 103)/2 Determine m, given that 24*m**4 + 165*m**3 - 45*m**2 - 165*m + 21 = 0. -7, -1, 1/8, 1 Suppose -10*o**5 + 175*o**4 - 840*o**3 + 895*o**2 + 80*o - 300 = 0. What is o? -1/2, 1, 6, 10 Determine h, given that -81*h**2 + 69*h + 12 = 0. -4/27, 1 Factor -3*y**4 - 1239*y**3 - 127305*y**2 + 128547*y. -3*y*(y - 1)*(y + 207)**2 Suppose -6*r**3/5 + 63*r**2/5 - 126*r/5 + 48/5 = 0. Calculate r. 1/2, 2, 8 Factor -k**3 + 9*k**2 - 15*k + 7. -(k - 7)*(k - 1)**2 Determine r, given that 3*r**3/2 - 63*r**2/2 + 30*r = 0. 0, 1, 20 Factor 3*n**4 + 10884*n**3 + 9893532*n**2 + 39443616*n + 39400128. 3*(n + 2)**2*(n + 1812)**2 Factor 5*q**2/7 + 20473*q/7 - 1170. (q + 4095)*(5*q - 2)/7 Factor g**2/4 - 9. (g - 6)*(g + 6)/4 Factor -3*s**2 - 21108*s - 37128972. -3*(s + 3518)**2 Determine r, given that -2*r**4 + 72*r**3 + 404*r**2 + 264*r - 738 = 0. -3, 1, 41 Suppose -3*s**2 + 567*s - 1122 = 0. What is s? 2, 187 Determine w, given that 3*w**3/2 + 1125*w**2/2 - 564*w = 0. -376, 0, 1 Factor -3*i**3/2 + 75*i/2. -3*i*(i - 5)*(i + 5)/2 Determine x, given that -3*x**5/2 + 3*x**4/2 + 39*x**3/2 - 3*x**2/2 - 72*x - 54 = 0. -2, -1, 3 Determine b, given that -9*b**5/2 - 6*b**4 + 21*b**3/2 + 6*b**2 - 6*b = 0. -2, -1, 0, 2/3, 1 Determine m so that -m**3/8 - 5*m**2/4 - 7*m/8 + 9/4 = 0. -9, -2, 1 Factor 25*h**3 + 2245*h**2 - 2725*h + 455. 5*(h - 1)*(h + 91)*(5*h - 1) Factor 2*g**2/7 - 116*g/7. 2*g*(g - 58)/7 Factor -3*h**4/8 + 3*h**3/2 - 9*h**2/8. -3*h**2*(h - 3)*(h - 1)/8 Factor -m**2/2 + 75*m/2 + 117. -(m - 78)*(m + 3)/2 Solve a**3 - 2*a**2 + a = 0. 0, 1 Factor 2*l**2/5 - 416*l/5. 2*l*(l - 208)/5 Factor -4*g**5 - 54500*g**4 - 297025000*g**3 - 809393125000*g**2 - 1102798132812500*g - 601024982382812500. -4*(g + 2725)**5 Find d such that -2*d**5 - 56*d**4 - 368*d**3 + 640*d**2 + 3808*d - 6272 = 0. -14, -4, 2 Factor j**3 + 5*j**2/4 - 4*j - 5. (j - 2)*(j + 2)*(4*j + 5)/4 Factor 5*r**4 - 65*r**3 + 225*r**2 + 125*r - 1250. 5*(r - 5)**3*(r + 2) Factor -15*g**2 + 1851*g - 2562. -3*(g - 122)*(5*g - 7) What is c in 2*c**2/7 + 24*c/7 + 40/7 = 0? -10, -2 Factor 6*t**2/11 + 192*t/11 - 408/11. 6*(t - 2)*(t + 34)/11 Solve -5*v**4 + 105*v**2 + 100*v = 0. -4, -1, 0, 5 Let 988418*g**2/3 + 1406*g/3 + 1/6 = 0. What is g? -1/1406 Determine p so that -4*p**2 - 60*p = 0. -15, 0 Suppose 2*z**4/7 - 18*z**3/7 + 4*z**2 = 0. Calculate z. 0, 2, 7 Determine m, given that -2*m**3/5 + 84*m**2/5 + 768*m/5 + 320 = 0. -4, 50 Factor 5*h**3 + 10*h**2 - 40*h. 5*h*(h - 2)*(h + 4) Factor -2*p**2/5 + 22*p/5 - 4. -2*(p - 10)*(p - 1)/5 Suppose 81*a**3 + 1489*a**2/2 - 1429*a/6 - 19/3 = 0. Calculate a. -19/2, -2/81, 1/3 Solve -n**3/2 + 9*n**2/2 + 870*n - 874 = 0 for n. -38, 1, 46 Let -13*o**5/2 - 77*o**4/2 - 75*o**3 - 46*o**2 + 4*o = 0. Calculate o. -2, 0, 1/13 Solve 3*l**2 - 16194*l + 21853803 = 0 for l. 2699 Factor -q**2/6 - 29*q/3 - 841/6. -(q + 29)**2/6 Factor x**3 + 7*x**2/3 + 2*x/3. x*(x + 2)*(3*x + 1)/3 Find v such that -v**4 - 56*v**3 - 838*v**2 - 1512*v - 729 = 0. -27, -1 Let m**3/7 - 93*m**2/7 + 2883*m/7 - 29791/7 = 0. Calculate m. 31 Factor -4*j**2 - 952*j - 56644. -4*(j + 119)**2 What is f in 1000*f**5 + 9900*f**4 + 23920*f**3 - 3288*f**2 - 1880*f + 300 = 0? -5, -3/10, 1/5 Factor 7*x**2/3 + 31*x/3 + 4. (x + 4)*(7*x + 3)/3 Let -50*a**4/3 - 206*a**3/3 - 274*a**2/3 - 130*a/3 - 4 = 0. What is a? -2, -1, -3/25 Let 668*q**3 - 1344*q**2 + 16*q = 0. Calculate q. 0, 2/167, 2 Factor -5*x**2 - 220*x + 460. -5*(x - 2)*(x + 46) Determine z, given that
{ "pile_set_name": "DM Mathematics" }
*o + 8*o = u + 383. Let r be 4*u/20 - 0. Let s = r - -72. Which is the biggest value? (a) s (b) -0.2 (c) -4 a Let h be ((-2)/18)/((-2)/24). Let n = -0.29 + -0.01. Which is the smallest value? (a) h (b) 2/9 (c) n c Suppose 3*h - 47 - 37 = 0. Let i be (2 + h/(-18))/(-2). Let p = 453/5 - 91. What is the smallest value in -3/2, i, p? -3/2 Let z = -10 - -4. Let i = z - -7. Let s = i - 1.4. Which is the second smallest value? (a) -0.5 (b) 2/3 (c) s c Let r = -13 + 9. Let v = 44/203 - -2/29. Which is the second smallest value? (a) v (b) r (c) 2/9 c Let b be 1/2*(-8)/(-10). Suppose -8 = -4*a + 3*p, 2*a - a + 2*p = 13. Let v be 1/1 - (1 - a). What is the third biggest value in v, b, 0? 0 Let y = -24 + 26. Which is the second biggest value? (a) y (b) -2/5 (c) 5 a Let s be (-40)/91 + (-4)/(-14). What is the third biggest value in -2, 0.03, s? -2 Let z = 0.2 - -0.3. Suppose 2*j - 8 = -2*j. Suppose 2*y + 2*g - 14 = 0, -y + g + j = 5. What is the second smallest value in y, 0, z? z Let h = 57 - 65. Which is the second smallest value? (a) h (b) -5 (c) -3 b Let a = 9 + -4. What is the third biggest value in -3, -0.5, a? -3 Let m = 1539/7 + -219. Let s = 1.9 + -2. What is the third smallest value in s, 5, m? 5 Let z = 80 - 75. Which is the third biggest value? (a) z (b) -1 (c) 0.4 (d) -0.1 d Let n = -1/132 + -23/132. Let z be 14 - 1*(-2 - -4). Suppose -3*r = -0*r - z. What is the second biggest value in 0.5, n, r? 0.5 Let q = 1.8 + -1.3. Let v = -1/80 + -73/560. Which is the third biggest value? (a) 0.2 (b) v (c) q b Let w = 0.051 + 21.949. Let o = w + -24. What is the second biggest value in o, -2/3, -3? o Let p = -40/11 + 302/77. Let o = -262 + 262.4. What is the biggest value in o, -0.4, p? o Let f = -1/28 + -3/14. Which is the biggest value? (a) f (b) 0.15 (c) -3 b Suppose 2*o - 2*s + 4*s = 76, 5*s = o - 26. Let n = o + -253/7. Which is the biggest value? (a) -2 (b) -0.1 (c) n b Let d = 2.3 - 2.5. Let o be 1 + 1/(2/(-4)). Which is the second smallest value? (a) 1/4 (b) o (c) d c Let x = 14.67 - -0.33. Let z = 19 - x. Which is the smallest value? (a) -1/5 (b) -3/2 (c) z b Let o be (2/15)/(6/10). Let i be 2 - 2/(36/49). Let j = i + o. What is the biggest value in -0.3, -1, j? -0.3 Let v = 1 - -1. What is the biggest value in v, -4, -0.5? v Let f = 0.14 + -0.64. Which is the third smallest value? (a) 0.3 (b) f (c) 3 (d) 1 d Let g(h) = -2*h + 11. Let z be g(8). Which is the third smallest value? (a) -0.6 (b) -3 (c) z a Let l = 3.1 - 2.6. What is the third smallest value in 0.3, l, -5? l Let s be 2/4 - (-27)/6. Suppose -d + 13 = -4*f, -4*d + 2*f - s*f - 5 = 0. What is the third smallest value in -0.4, -2/11, d? d Let i = -0.08 + -3.92. Let n = -0.1 - -9.1. Let s = n + i. What is the biggest value in s, -0.5, -0.3? s Let t = -1/9 - 4/45. Let i = 0.53 + 2.47. What is the third biggest value in 4, t, i? t Let f = 4 + -3.5. Let z = 2 + -1.6. Let p be 0 - (0 + 1 - (-7 - -9)). Which is the biggest value? (a) z (b) f (c) p c Let p = -15.7 + 15. Let z = -0.1 - 0.4. Let h = p - z. Which is the second smallest value? (a) -5 (b) 0.5 (c) h c Let m = -780 + 13269/17. Let k = 7/51 + m. Which is the smallest value? (a) k (b) -0.4 (c) 1 b Let v be (1 + 0)*2/13. What is the second biggest value in 1, v, -7? v Let i = 1.01 - 1.11. Which is the third smallest value? (a) -11 (b) 0.4 (c) i b Let w = 0.14 + 0.86. Which is the third smallest value? (a) w (b) 0.1 (c) -0.2 a Let h = -52 - -51. Let z = -3.7 + -0.3. Let l = 0 + z. What is the second smallest value in h, l, -4/9? h Let k = 0.2 + -2.2. Let w = -4.6 + -1.4. Let f = w - -5.9. Which is the smallest value? (a) k (b) f (c) -5 c Let n = -7 - -6.9. Let j = 5 - 5.4. Let h = -10 - -5. What is the smallest value in h, n, j? h Let l be (22/(-6))/((-6)/2304). Let h be 1 - (0 + 1218/l). Let w = h - -3/64. Which is the third biggest value? (a) -1 (b) -4 (c) w b Let q = -0.16 + -1.84. Let n = -2.2 - -2. Let g = n - -0.7. What is the second biggest value in g, -1/6, q? -1/6 Let l be (-24)/12 - (-8)/3. Which is the second smallest value? (a) -4 (b) -1.2 (c) l (d) 4 b Let s = 1.4 - 2.7. Let w = s - -1.6. Which is the third biggest value? (a) -1/7 (b) w (c) -0.2 c Suppose 2*i = 6*i - 8. Let s be (-1*i/6)/1. What is the second biggest value in -5, s, 5? s Let x = 0.07 - 0.07. Which is the smallest value? (a) 2/3 (b) 3 (c) x c Let j = 1 + -2. Let v = -0.12 - -0.02. What is the biggest value in j, v, 2? 2 Let q = 3 - 3. Let x(s) = -s + 1. Let h(v) = 3*v - 2. Let n(z) = h(z) + 2*x(z). Let o be n(2). Which is the third biggest value? (a) o (b) q (c) 1 b Let n = -4.6 - -5. Let f = -5 + 3. Let c = f - 2. What is the second biggest value in n, c, -0.3? -0.3 Let w = -81.9 - -82. Which is the second smallest value? (a) -0.3 (b) w (c) -6 a Let o = 31 - 31.13. Let h = o + 0.03. Which is the smallest value? (a) -1 (b) h (c) -3 c Let s = -8 - -13. Which is the second smallest value? (a) 0 (b) s (c) -0.05 a Let r = 43.8 + -44. Suppose -2*n + n = -4. Which is the third smallest value? (a) -3 (b) r (c) n c Suppose 3*h = -9 - 3. Let r be h/(-3)*15/10. Suppose 5*c + 2 - 7 = 0. What is the second biggest value in c, r, -4/5? c Let p = 0.1 - -0.9. Let w = -4.8 + 9.8. Which is the third biggest value? (a) -0.3 (b) w (c) p a Suppose 8*r + 2 = 6*r. Let g = r + -1. Which is the third biggest value? (a) 5 (b) g (c) -1 b Let n = 0.27 + 0.23. Let y be ((-2)/(-9))/((-12)/(-9)). What is the second smallest value in -4/3, n, y? y Let m be 64/(-126) - (-2)/9. Let o = 22/13 - 97/65. Which is the third biggest value? (a) 5 (b) m (c) o b Let w = 3 - 4. Let d = 40413915/289261 + -3/41323. Let o = -140 + d. Which is the biggest value? (a) o (b) w (c) 2 c Let y = -17 + 13. Suppose 4*q + 0*t = -4*t + 24, t = -2*q + 13. Which is the third biggest value? (a) q (b) 5 (c) y c Let t = -0.17 - 0.23. Let u = -12 - -21. Suppose 0 = 3*k - 0*k + u. What is the second smallest value in 3, t, k? t Let j = 2 + -2. Suppose -3*h - 6 = d, -5*h = 5*d - j*h. Which is the second biggest value? (a) -0.4 (b) 4 (c) d c Let s = -54 + 65.6. What is the second biggest value in -5, 0.2, s? 0.2 Let y = -5.6 - -1.6. Let l = -1.1 + 6.1. Which is the biggest value? (a) l (b) y (c) 1/4 a Let r be (-1)/3*1 - 0. Let g = -3 - -2. Let j = -0.1 - 0.2. Which is the biggest value? (a) r (b) g (c) j c Let t = 301/5 - 60. Let h be (9/6)/((-30)/(-8)). Let x = -2 + 2. Which is the third biggest value? (a) x (b) h (c) t a Let n be (-387)/(-473) - 2/(-11). What is the third biggest value in n, 0.4, 5, -4? 0.4 Let f = 2 - 1.8. Suppose -2*z - z = 3. Let u be (0 + z)/((-11)/(-2)). What is the biggest value in u, f, -2? f Let i = 33 - 32.7. Let y be 2/(-6) - (-52)/48. What is the third biggest value in y, 1/11, i? 1/11 Let q(s) = s**3 + 8*s**2 + 7*s - 4. Suppose -3*f = o - 2, -2*o - 3*f - 26 = -7*f. Let d be q(o). What is the second biggest value in 4, -0.3, d? -0.3 Let q = 5 + -8. What is the biggest value in -2, q, 2? 2 Let i = -20/13 + 126/65. Let g = 6 - 4. Which is the biggest value? (a) -2/7 (b) g (c) i b Let d = -0.11 + 0.01. Let g = 1.3 + -0.3. Which is the second biggest value? (a) d (b) g (c) 4 b Let g = 0.85 + -0.75. Which is the biggest value? (a) -0.9 (b) g (c) -0.1 b Suppose 0 = 3*k + 6, -3*k + 8 = 3*y + 38. Let l be (y - -2) + 3/1. Which is the third biggest value? (a) l (b) 2/5 (c) 7 a Let k be (-6)/21 - (-194)/238. Let z = k - 151/221. Let w = -111 - -887/8. Which is the smallest value? (a) -0.5 (b) z (c) w a Suppose -n - 2 = 1. Let s = 0.9 - -3.1. What is the second smallest value in s, -4/5, n? -4/5 Let y = 8.3 - 8. Let h = 33 + -197/6. What is the biggest value in y, -2/11, h? y Let w = -3.6 + 2.5. What is the smallest value in 4/5, -1, w? w Suppose 9*t - 11 = -20. What is the second biggest value in -2/5, t, 0.4? -2/5 Let t = 0.3 - -0.2. Let s = 3 + -7. Let q = 1.8 + -1.8. What is the smallest value in s, t, q? s Suppose c + 50 = -5*k, 0 = -5*c + 7 + 18. Let t = -6 - k. Suppose -3*j - 6 = -t*j. What is the third biggest value in j, 0.3, -0.5? -0.5 Let m = 153/236 + 6/59. Let i be 1*-4 - (-2)/(-2). What is the second biggest value in i, m, -3/4? -3/4 Let o = -0.58 - -0.18.
{ "pile_set_name": "DM Mathematics" }
848/7 = 0. -22, -4, -9/4 Factor 343*d**4 - 4018*d**3 + 6216*d**2 - 3424*d + 640. (d - 10)*(7*d - 4)**3 Solve 3*o**2 + 126*o + 1023 = 0. -31, -11 Factor -4*p**4/5 - 84*p**3/5 - 396*p**2/5 + 484*p/5. -4*p*(p - 1)*(p + 11)**2/5 Suppose -1375*g**4 + 3250*g**3 - 2355*g**2 + 460*g + 20 = 0. What is g? -2/55, 2/5, 1 Solve c**4/3 - 349*c**3/6 + 2552*c**2 - 2523*c/2 = 0. 0, 1/2, 87 Factor -r**2 + 8*r. -r*(r - 8) Factor -g**2/3 - 77*g/3. -g*(g + 77)/3 Solve -162*r**5/5 + 144*r**4 + 2134*r**3/5 - 3964*r**2/5 + 1416*r/5 - 144/5 = 0. -3, 2/9, 1, 6 Factor j**2 - 37*j + 36. (j - 36)*(j - 1) Factor t**2/2 - 52*t + 1352. (t - 52)**2/2 Factor 16055*r**3 + 4602*r**2 + 276*r - 8. (13*r + 2)**2*(95*r - 2) Factor f**4/9 - 37*f**3/9 - f**2/3 + 113*f/9 - 74/9. (f - 37)*(f - 1)**2*(f + 2)/9 What is f in -2*f**5 - f**4 + f**3 = 0? -1, 0, 1/2 Suppose b**4/3 + 5*b**3/3 + 5*b**2/3 - 5*b/3 - 2 = 0. What is b? -3, -2, -1, 1 Factor -243*h**2 + 216*h - 48. -3*(9*h - 4)**2 Solve 4*w**2 + 120*w + 900 = 0. -15 Determine h, given that 21*h**5/2 - 291*h**4 + 1323*h**3/2 + 1263*h**2 + 300*h = 0. -1, -2/7, 0, 4, 25 Factor 2*q**3/7 - 10*q**2/7 + 8*q/7. 2*q*(q - 4)*(q - 1)/7 Find q such that 2*q**3/13 - 952*q**2/13 + 3784*q/13 - 3776/13 = 0. 2, 472 Find c, given that 20*c**2 + 808*c + 320 = 0. -40, -2/5 Find z, given that -2*z**5/5 + 32*z**4/5 + 82*z**3/5 - 168*z**2/5 - 216*z/5 = 0. -3, -1, 0, 2, 18 Solve -3*k**5 - 15*k**4 + 369*k**3/4 - 267*k**2/2 + 291*k/4 - 27/2 = 0. -9, 1/2, 1, 2 Determine g so that -2*g**2/3 - 392*g/3 - 19208/3 = 0. -98 Factor -16*d**3 + 132*d**2 + 112*d - 36. -4*(d - 9)*(d + 1)*(4*d - 1) Determine g so that 16*g**5 + 10*g**4 - 96*g**3 + 68*g**2 + 32*g - 30 = 0. -3, -5/8, 1 Factor -2*m**2/7 + 16*m/7 + 130/7. -2*(m - 13)*(m + 5)/7 Factor -h**5 + 77*h**4 - 1591*h**3 + 4107*h**2. -h**2*(h - 37)**2*(h - 3) Find y, given that y**4/8 + 361*y**3/8 + 32399*y**2/8 - 32761*y/8 = 0. -181, 0, 1 Find x such that 4*x**5 - 28*x**4 + 16*x**3 + 48*x**2 = 0. -1, 0, 2, 6 Find k such that 81*k**5/5 - 279*k**4/5 + 274*k**3/5 - 84*k**2/5 + 8*k/5 = 0. 0, 2/9, 1, 2 Factor 4*t**5 + 28*t**4 + 48*t**3 - 16*t**2 - 64*t. 4*t*(t - 1)*(t + 2)**2*(t + 4) Factor 4*u**3 + 412*u**2 + 10812*u + 10404. 4*(u + 1)*(u + 51)**2 Factor 3*j**4/2 - 3*j**3/2 - 156*j**2 - 504*j. 3*j*(j - 12)*(j + 4)*(j + 7)/2 Factor -o**3 - 191*o**2 - 9752*o - 59248. -(o + 7)*(o + 92)**2 Find z, given that -5*z**2 + 1805*z + 1810 = 0. -1, 362 Factor 2*c**3/5 + 8*c**2/5 - 2*c/5 - 8/5. 2*(c - 1)*(c + 1)*(c + 4)/5 Find n, given that 2*n**4 - 24*n**3 - 90*n**2 - 8*n + 120 = 0. -2, 1, 15 Factor 2*d**2/3 - 28*d/3 + 80/3. 2*(d - 10)*(d - 4)/3 Determine r so that 2*r**2/7 - 22*r/7 - 204/7 = 0. -6, 17 What is o in -3*o**3/4 + 57*o**2/4 + 123*o/4 + 63/4 = 0? -1, 21 Determine b, given that -2*b**4/5 + 184*b**3/5 - 4412*b**2/5 + 1656*b - 810 = 0. 1, 45 Solve -j**3/6 + j**2 + j/6 - 5 = 0 for j. -2, 3, 5 Factor 2*t**5 + 12*t**4 + 24*t**3 + 16*t**2. 2*t**2*(t + 2)**3 Suppose -3*j**4/7 - 108*j**3/7 - 972*j**2/7 = 0. What is j? -18, 0 Find k such that 4*k**2 - 1360*k + 4044 = 0. 3, 337 Factor 9*g**2/4 - 169*g/4 - 19/2. (g - 19)*(9*g + 2)/4 Factor -6*r**3/11 + 202*r**2/11 - 12*r. -2*r*(r - 33)*(3*r - 2)/11 Factor -5*k**3/4 - 145*k**2/4 - 135*k/2. -5*k*(k + 2)*(k + 27)/4 Factor -5*m**3 + 90*m**2 - 85*m. -5*m*(m - 17)*(m - 1) Determine m so that 2*m**5 + 56*m**4 + 482*m**3 + 860*m**2 - 3400*m + 2000 = 0. -10, 1 Factor h**2/5 + 29*h/5 - 6. (h - 1)*(h + 30)/5 Find d, given that 5*d**2 - 3110*d + 483605 = 0. 311 Factor 3*j**2 - 9*j - 30. 3*(j - 5)*(j + 2) Determine p so that 5*p**5 - 115*p**3 + 330*p**2 - 340*p + 120 = 0. -6, 1, 2 Determine i, given that -3*i**3 - 69*i**2 + 312*i - 324 = 0. -27, 2 Solve -2*f**5/5 - 2026*f**4/5 - 514096*f**3/5 - 512072*f**2/5 = 0. -506, -1, 0 Determine m so that 2*m**2 + 1774*m + 7064 = 0. -883, -4 Factor 3*x**2 + 34*x/5 - 13/5. (3*x - 1)*(5*x + 13)/5 What is m in -2*m**3/7 + 6*m**2/7 - 4*m/7 = 0? 0, 1, 2 Factor 3*j**3/5 + 981*j**2/5 + 106929*j/5 + 3885087/5. 3*(j + 109)**3/5 Factor n**2 + 42*n - 43. (n - 1)*(n + 43) Determine p so that -36*p**4 + 204*p**3 + 92*p**2 - 124*p + 24 = 0. -1, 1/3, 6 Factor -28*r**2 + 2204*r + 632. -4*(r - 79)*(7*r + 2) Factor -2*g**3/13 - 18*g**2/13 - 4*g - 48/13. -2*(g + 2)*(g + 3)*(g + 4)/13 Determine v, given that -24*v**2 + 21*v + 54 = 0. -9/8, 2 Determine m so that 4*m**4/7 + 20*m**3/7 - 80*m/7 - 64/7 = 0. -4, -2, -1, 2 Let -s**2/5 - 408*s/5 + 409/5 = 0. Calculate s. -409, 1 Find k, given that 15*k**5/4 - 83*k**4/8 - 79*k**3/8 + 131*k**2/8 + 121*k/8 + 3 = 0. -1, -1/2, -1/3, 8/5, 3 Factor -4*c**5/3 + 28*c**4 - 180*c**3 + 324*c**2. -4*c**2*(c - 9)**2*(c - 3)/3 Factor -r**4/4 + 59*r**3 - 2409*r**2 - 126496*r - 1149184. -(r - 134)**2*(r + 16)**2/4 Let i**5 - 157*i**4 + 309*i**3 + 157*i**2 - 310*i = 0. Calculate i. -1, 0, 1, 2, 155 Let 10*l**4 - 271*l**3 - 250*l**2 - 56*l = 0. Calculate l. -1/2, -2/5, 0, 28 Factor 3*h**3/5 + 72*h**2/5 + 357*h/5. 3*h*(h + 7)*(h + 17)/5 What is v in 20*v**5 - 932*v**4 + 6124*v**3 - 7660*v**2 + 576*v + 1872 = 0? -2/5, 1, 6, 39 Find y such that -5*y**5/2 - 289*y**4 - 8294*y**3 + 3364*y**2 = 0. -58, 0, 2/5 Factor -5*c**4 + 15*c**3 + 90*c**2 + 20*c - 120. -5*(c - 6)*(c - 1)*(c + 2)**2 What is z in 5*z**4/2 + 75*z**3/2 + 235*z**2/2 + 165*z/2 = 0? -11, -3, -1, 0 Find o, given that -o**5/5 + o**4/2 + 6*o**3/5 - 47*o**2/10 + 22*o/5 - 6/5 = 0. -3, 1/2, 1, 2 Solve -54*c**4/5 + 294*c**3/5 - 66*c**2/5 - 294*c/5 + 24 = 0. -1, 4/9, 1, 5 Let -3*p**5 - 11*p**4 + 11*p**3 + 23*p**2 - 20*p = 0. Calculate p. -4, -5/3, 0, 1 Determine t so that 2*t**2/13 - 548*t/13 + 522 = 0. 13, 261 Suppose -3*q**3 - 209*q**2 + 70*q = 0. What is q? -70, 0, 1/3 Suppose -36*g**5 - 96*g**4 + 164*g**3 + 304*g**2 + 80*g = 0. What is g? -10/3, -1, -1/3, 0, 2 Factor -z**5 + 6*z**4. -z**4*(z - 6) Solve -3*n**5/4 + 47*n**4/4 - 101*n**3/4 - 39*n**2/4 = 0 for n. -1/3, 0, 3, 13 Find f such that -4*f**3/7 + 44*f**2/7 + 32*f + 240/7 = 0. -2, 15 Suppose 3*y**3/4 + 15*y**2/2 = 0. Calculate y. -10, 0 Factor -r**2/4 - 49*r/2 - 2401/4. -(r + 49)**2/4 Let f**2/3 - 1/3 = 0. Calculate f. -1, 1 Solve -3*v**5 - 18*v**4 + 3*v**3 + 18*v**2 = 0. -6, -1, 0, 1 Determine s so that -5*s**4 - 20*s**3 + 155*s**2 + 230*s - 840 = 0. -7, -3, 2, 4 Factor 3*p**2/2 - 63*p/2 + 57. 3*(p - 19)*(p - 2)/2 Let 4*i**4/5 + 28*i**3/5 - 204*i**2 + 1220*i - 2200 = 0. What is i? -22, 5 Solve 5*i**5 - 25*i**4 + 35*i**3 + 5*i**2 - 40*i + 20 = 0. -1, 1, 2 What is u in 2*u**3/3 - 14*u**2/3 - 20*u = 0? -3, 0, 10 Suppose 32*m**5 + 696*m**4 - 980*m**3 - 1360*m**2 + 468*m + 184 = 0. What is m? -23, -1, -1/4, 1/2, 2 Solve -2*o**2 - 1956*o - 1954 = 0 for o. -977, -1 Suppose -3*c**4 - 1599*c**3 = 0. Calculate c. -533, 0 Solve -4*x**3 + 36*x**2 + 184*x - 1056 = 0 for x. -6, 4, 11 Let 3*s**3 - 36*s**2 - 39*s = 0. Calculate s. -1, 0, 13 Find k, given that -4*k**3 + 132*k**2 - 1440*k + 5184 = 0. 9, 12 Factor s**3/3 - 7*s**2/3 + 7*s/3 + 5. (s - 5)*(s - 3)*(s + 1)/3 Solve 3*f**5 - 69*f**4 + 606*f**3 - 2484*f**2 + 4536*f - 2592 = 0 for f. 1, 4, 6 Find c such that -2*c**2/7 + 60*c/7 - 16 = 0. 2, 28 Factor 3*g**3/4 + 1461*g**2/4 + 2913*g/4 + 1455/4. 3*(g + 1)**2*(g + 485)/4 Find o such that -12*o**3 + 10*o**2 + 12*o - 10 = 0. -1, 5/6, 1 Let 3*u**4/5 + 9*u**3/5 - 3*u**2/5 - 9*u/5 = 0. Calculate u. -3, -1, 0, 1 Factor -5*n**2 - 675*n + 2780. -5*(n - 4)*(n + 139) Factor -3*w**2 - 18*w - 15. -3*(w + 1)*(w + 5) Factor -w**5 + 10*w**4 + 23*w**3 - 240*w**2 - 576*w. -w*(w - 8)**2*(w + 3)**2 Factor -35*i**2/4 - 545*i - 155. -5*(i + 62)*(7*i + 2)/4 Find x such that -6*x**5/7 + 64*x**4/7 - 40*x**3/7 = 0. 0, 2/3, 10 Determine q so that 3*q**4/7 - 3*q**3/7 - 123*q**2/7 - 333*q/7 - 216/7 = 0. -3, -1, 8 Solve -21*d**4 + 6*d**3 + 21*d**2 - 6*d = 0 for d. -1, 0, 2/7, 1 Factor x**3/5 - 143*x**2/5 + 283*x/5 - 141/5. (x - 141)*(x - 1)**2/5 Suppose 3*l**3 - 2346*l**2 + 2343*l = 0. Calculate l. 0, 1, 781 Let -4*f**2/5 - 12*f - 56/5 = 0. Calculate f. -14, -1 Suppose -2*w**3/3 - 200*w**2/9 - 86*w/3 - 64/9 = 0. Calculate w. -32, -1, -1/3 Let 3*u**3 + 81*u**2 + 348*u + 396 = 0. What is u? -22, -3, -2 Factor 3*g**4 + 273*g**3 + 8613*g**2 + 103443*g + 292668. 3*(g + 4)*(g + 29)**3 Determine f so that -f**4 + 17*f**3 - 78*f**2 + 32*f + 128 = 0. -1, 2, 8 Suppose -o**4/11 + 6*o**3/11 - 1
{ "pile_set_name": "DM Mathematics" }
a*s**2 and give a. 1 Express (-3 + 3 + 2*n)*(6*n + 24*n + 21*n) - 2 - 2*n**2 + 2 as z*n + q + u*n**2 and give u. 100 Rearrange 3*g + 3*g**4 - 2*g + 697*g**3 + 36*g**4 - 349*g**3 - 2 + 2*g**2 - 349*g**3 to i*g**3 + q*g**4 + r + o*g**2 + l*g and give i. -1 Express -164*f - 161*f + 20*f**3 + 321*f in the form r*f**3 + j*f + c + s*f**2 and give r. 20 Express 4*d + d + 10*d**3 + d**2 - d**2 as p*d**3 + w*d**2 + g + i*d and give g. 0 Express -2*d**2 - 36*d**4 - 396*d + 6*d**3 + 201*d + 196*d + 3*d**2 in the form a*d**4 + o*d + z + j*d**3 + q*d**2 and give q. 1 Rearrange -41*h**3 - 434*h**2 + 434*h**2 + (h**2 - 4*h**2 - h**2)*(2*h + 2 - 2) to l*h**3 + f*h + a*h**2 + s and give l. -49 Rearrange -4 + 1 - 637*d**2 - 1644*d**2 + 516*d**2 - 2*d**2 + 4*d - 4*d + d**2 - 3 + 3 + (2 - d - 2)*(-4*d + 3*d - d) to the form x*d**2 + z*d + c and give c. -3 Express -1 + 3 - 2376*o + 41*o**4 + o**2 + 2378*o as r*o + v*o**4 + d*o**2 + f + w*o**3 and give f. 2 Rearrange 5*w**4 - 20*w**4 - 61*w + 60*w - w**3 + 3 to g*w**3 + v*w + b*w**2 + d + y*w**4 and give v. -1 Express (-1 - 1 + 5)*(-p + 0*p + 2*p)*(43 - 89 - 80) in the form n + l*p and give l. -378 Rearrange 36*z + 67*z + 28*z + 197*z to l + b*z and give b. 328 Express (-141 + 141 - 35*q + (0 + 1 + 1)*(2*q + 3 - 3) + 3 - 3 - q + 0*q + 0*q - 2*q)*(0 - 4*q + 3*q - 1) in the form h + t*q + s*q**2 and give s. 34 Rearrange (-3 + 4 + 2)*(1 - 3 - 1)*(3*c - 72 - 2*c + 79) to the form u + s*c and give u. -63 Express -5179*u**3 - 11 + 19*u + 5176*u**3 + 12 - 2*u**2 in the form t*u**2 + d*u + r + m*u**3 and give d. 19 Express (539 + 368 - 1048)*(-3*r**3 + r**3 + 0*r**3) as i + v*r**3 + z*r + j*r**2 and give v. 282 Rearrange -x**2 + 1035*x - 786*x + 3*x**2 to the form a + l*x + c*x**2 and give l. 249 Rearrange (3 + 3*o**2 - 3)*(-3 - 3 + 5) - o + o + o**2 + (-10*o**2 + 18*o**2 + 12*o**2)*(4 - 4 - 3) + o**2 - 4*o + 4*o to l*o**2 + h + s*o and give l. -61 Express 3*h**2 - h**3 + 0*h - 8*h - 5*h**2 - 3*h**2 + 6*h**2 in the form i*h**3 + c + q*h + m*h**2 and give q. -8 Rearrange (-6*s**2 + 5*s**2 + 5*s**2)*(916*s - 278*s - 128*s) to r*s**3 + z*s + j + q*s**2 and give r. 2040 Rearrange -788*j + 27*j**3 + 400*j - 2*j**2 + 392*j to the form x*j + g*j**2 + r*j**3 + s and give x. 4 Express -i**4 + 1164*i + i**2 - 591*i + 8 - 572*i in the form s*i**4 + w*i + z*i**3 + c + p*i**2 and give s. -1 Rearrange 2*y + 0*y - 4 + y - y - 2 + 2 + (3*y + y - 3*y)*(-5 + 2 + 0) to the form q*y + f and give q. -1 Express 4665*v - 4665*v - 368*v**2 as f*v + b + y*v**2 and give y. -368 Rearrange (5*j - 5*j + 2*j**2 + 5)*(j + 5*j**2 - j)*(-9 - 10 + 14 + (2 + 0 - 3)*(1 + 2 - 1)) to m*j + x*j**2 + c*j**4 + t + v*j**3 and give x. -175 Rearrange 2*w - 2*w - 825 - w + 828 + 4*w to q + n*w and give q. 3 Rearrange 18 - u**4 + 172*u - 79*u + u**2 - 89*u to l*u**4 + x*u**2 + i*u + d*u**3 + t and give t. 18 Express (q**2 - q**2 - 7*q**2)*(-2 + q**2 + 1 + q**2) - 238*q**4 - 84*q + 84*q in the form v*q + m*q**3 + b*q**4 + x + n*q**2 and give n. 7 Express 63*f + 56*f + 27*f + 34*f as n*f + a and give a. 0 Rearrange ((a - 3*a + a)*(-1 - 2 + 2) - 18*a - 12 + 12)*(0 + 0 + 2*a)*(-2 - 21 - 7) to x*a + h + p*a**2 and give h. 0 Express 2*m**4 + 17*m**3 + 8 - 1 + 11 + 5 - 15*m**3 + 2*m in the form h*m**2 + w*m**3 + g*m + s + v*m**4 and give v. 2 Express 13*g**2 - g**2 - g**2 + (0 - g + 0)*(5*g - 1 + 1) + (g - 2 + 2)*(-2*g + 0*g + 0*g) as j + u*g**2 + l*g and give u. 4 Express -6 - 3*l**2 + 2*l**2 + 13*l**4 - 14*l**4 + 0 as m*l + j*l**3 + c*l**2 + z*l**4 + k and give z. -1 Express (x - 3*x - 6*x)*(-2*x**3 + 4*x - 4*x + (-5*x**3 + 2*x**3 + 4*x**3)*(5 - 4 + 6)) in the form g*x**2 + v*x + u + c*x**4 + z*x**3 and give c. -40 Rearrange (484 - 105 - 62 + 102 + 251)*(-2*j + 3*j - 6*j) to the form b + z*j and give z. -3350 Express ((c + 0*c - 2*c)*(1 + 0 - 3) + 3 - 3 - c)*(-68*c + 216*c - 41*c)*(c + c + 0*c) in the form x*c**3 + o*c**2 + i*c + l and give x. 214 Express -1827*h + 330*h - 51 + 106 - 55 in the form d*h + r and give d. -1497 Express (-2 - 2 + 5)*(-729 - 39*j + 729) - 3*j - 1 + 1 as y + v*j and give v. -42 Express 3 + 0 + 2*d - 27*d**2 - 1 + 1 + 26*d**2 + 14*d**4 in the form z*d + n*d**3 + f + o*d**4 + l*d**2 and give o. 14 Rearrange 16 - 5*d**3 - 17 - 2*d + 3*d**3 to the form u*d + q + x*d**3 + b*d**2 and give u. -2 Express 9*p - 85 - 36*p**3 + 85 + p**2 - p**2 as i + g*p + s*p**2 + l*p**3 and give l. -36 Rearrange 5*r**4 - r**4 - 2*r**4 + ((-3 + 4 - 3)*(-14*r + 12 - 12) - 1 + 1 - r)*(0 + 0 - 2*r**3) to the form n*r**4 + u + t*r**2 + z*r**3 + a*r and give n. -52 Express 786*l - 4 + 163*l + 3 - 124*l as z + o*l and give z. -1 Express -3 - 8 + 11 - 479*y + 0 as v*y + l and give l. 0 Rearrange (2*x + 2*x - 2*x)*(-218 + 42*x**3 + 218) + 9*x**4 - 7*x**4 + 2*x**4 to the form f*x**4 + b*x**3 + v + c*x + q*x**2 and give f. 88 Express -8 + 7*s - 190 - 5*s - 99 - s in the form b + v*s and give b. -297 Rearrange 3*v**4 + 7*v**3 + 9*v**3 - 3*v + 4 - 14*v**3 - 3*v**2 to h*v**2 + s*v + y + x*v**3 + l*v**4 and give l. 3 Express -14618*k + 57*k**2 - 3*k**4 + k**3 - 39*k**2 + 14615*k + (k + k - 3*k)*(-k**3 - k**3 + 0*k**3) as v*k**4 + h*k**3 + l + z*k + i*k**2 and give h. 1 Express (-2 + 3 + 1)*(80 + 81 + 15)*(-2*l**2 + 0*l**2 + 4*l**2)*(4 - 1 - 2) as a + u*l + k*l**2 and give k. 704 Rearrange -707*i + 692*i + i**2 + i**4 - i**3 + 0*i**2 to m*i**2 + w*i**3 + y*i + n*i**4 + b and give y. -15 Rearrange 133*j**2 + 88*j**2 - 29*j**2 + 142*j**2 to the form n*j + t*j**2 + r and give t. 334 Express -4 + 5 + 0 + 4*s**3 + (s + 2*s - 4*s)*(-3*s + 3*s - s**2) - 4*s - 22*s**3 + 23 + 19 - 44 as w + n*s**3 + d*s**2 + v*s and give n. -17 Express 6*n**2 + 150*n**2 + 34*n**2 in the form v + y*n**2 + h*n and give y. 190 Rearrange (-2*u - 2 + 2)*(-10 - 3 - 1)*(-19 - 41 + 36) to t + c*u and give c. -672 Express (-684 + 176 - 84)*(j**3 - 4 + 4) in the form o*j**3 + p + r*j + k*j**2 and give p. 0 Rearrange (0 + 3 - 1)*(-42*q - 52*q - 75*q) to the form d + w*q and give w. -338 Rearrange 2 - 3 + 3*y**4 - 2 + 47*y**2 - y**3 + 6 to the form o*y + z*y**4 + b + q*y**2 + h*y**3 and give q. 47 Express -2 - 2*y + 2 + (-2 + 3 - 3)*(0*y + y - 2*y) + 17481*y - 8741*y - 8739*y - 440 as a + c*y and give c. 1 Express (0 + 8*f**2 - 21*f**2 + 3)*(4*f - 4*f + 3*f**2) as a*f**2 + t + o*f**3 + i*f**4 + v*f and give i. -39 Rearrange -3*h + 35*h**3 - 91*h**2 + 3 - 33*h**3 - 5*h + 97*h**2 to the form y*h + g*h**2 + n + b*h**3 and give g. 6 Express -6*w - 2*w - w + 8*w - 52 in the form v*w + c and give v. -1 Express -24207*s - 1 + 2*s**3 - s**3 + 24206*s + 24*s**2 in the form g + z*s + f*s**3 + a*s**2 and give z. -1 Express (-3 - 2 + 6)*(5 - 6 + 0)*(39 - 24 + 2*a + 2*a + (-5 + 3 + 1)*(-2*a + 2 - 2) + a + 2*a - 2*a) as v + p*a and give p. -7 Express 9*f**2 - 4*f**3 - 4*f**3 + 7*f + 1 + 9*f**3 - 4*f**2 - f**2 in the form x*f + b*f**3 + m*f**2 + d and give x. 7 Rearrange -6*c + 0*c + 3*c + 5*c - c**2 - 5*c - 59 to y*c + l + b*c**2 and give y. -3 Express 119*z - 79 - 84 + 163 in the form r*z + v and give r. 119 Rearrange 35*u + 5*u**3 - 73*u - u**2 + 28*u to the form j*u**2 + y*u + r + k*u**3 and give y. -10 Rearrange 208*i + 304 - 149 - 2*i**3 - 153 to t + z*i**2 + k*i + g*i**3 and give k. 208 Express 3*g - 15 + 29*g**3 - 57*g**3 + 27*g**3 + (-3 + 3 - 2*g)*(3*g**2 + 2*g**2 - 6*g**2) + 2*g**3 + g - g in the form v*g + r*g**3 + d + u*g**2 and give d. -15 Express 2*o**2 - 5 + 5*o**3 - 2 + 166*o - 164*o as l*o**2 + w + i*o + t*o**3 and give l. 2 Express 3*t - 18*t**3 + 57*t**3 - 23*t - 17*t**3 - 16*t**3 as y*t**2 + j*t**3 + n*t + l and give j. 6 Rearrange 4*k - 2 - k - 8*k**2 + 2 + 2*k to the form j + h*k + x*k**2 and give h. 5 Express -8*i**2 - 26*i**3 + 24*i**3 - 3*i**2 + 22*i - 23*i in the form z*i + v*i**3 + y*i**2 + a and give y. -11 Rearrange (390 + 2*b - 390 + 4*b**3)*(106 - 103 + 128) to the form f*b**2 + n*b + l + s*b**3 and give n. 262 Express (-5*m + 3*m + m + (-3 + 2 + 0)*(5*m - 3*m + 0*m))*(2 + 1 - 2)*(0 + 0 + m)*(91 - 618 + 32) as i*m + a + r*m**2 and give r. 1485 Express 12*b**2 - 47*b**3 - 12*b**2 - 9 + 8 in the form k*b**3 + q + w*b + t*b**2 and give k. -47 Express (q - 7*q + 3*q)*(0*q + 3*q - 5*q) - 28*q**2 + 34*q**2 + 40*q**2 - 3 + q**2 + 3 in the form u*q**2 + w*q + b and give u. 53 Express (4 - 4 + j)*(-1 - 2 - 2)*(
{ "pile_set_name": "DM Mathematics" }
4320 In base 13, what is -57 - a7? -131 In base 13, what is -7 - -56b8? 56b1 In base 16, what is -1584 + -2? -1586 In base 12, what is 37 - 45a6? -456b In base 2, what is 111 - 1111110100111010110? -1111110100111001111 In base 3, what is -11021 + -100021? -111112 In base 11, what is -960 + a? -951 In base 12, what is -6557 + -5? -6560 In base 16, what is -5 - 71b? -720 In base 4, what is 12312213 - -10? 12312223 In base 16, what is 8911 + 8? 8919 In base 14, what is -4 + 7a1c? 7a18 In base 10, what is -36 - 432? -468 In base 8, what is 1 + 32477? 32500 In base 13, what is 54967 - 1? 54966 In base 16, what is -1 - -4bd7? 4bd6 In base 3, what is -11 + -200001001002? -200001001020 In base 13, what is -5c60 + -50? -5cb0 In base 5, what is -3 - 2202304? -2202312 In base 5, what is 132 - 10104422? -10104240 In base 5, what is 1344 - -43? 1442 In base 3, what is -112201120 - 1? -112201121 In base 4, what is -2111101231 + -11? -2111101302 In base 5, what is 0 - -1214004? 1214004 In base 2, what is -10011 - 1001100110111? -1001101001010 In base 16, what is -73 + 563? 4f0 In base 16, what is e16a + -2? e168 In base 6, what is -12 - 10403? -10415 In base 2, what is 10 - -1100101111000111011? 1100101111000111101 In base 9, what is -12 + -130755? -130767 In base 2, what is 100 + -10011001100010011110? -10011001100010011010 In base 4, what is 1 - -102200032? 102200033 In base 13, what is 20 - 21a8? -2188 In base 16, what is -7 - -1dab? 1da4 In base 5, what is 20 + -1131431? -1131411 In base 12, what is 13903 + 6? 13909 In base 9, what is -14171 - -6? -14164 In base 8, what is -133654 - -3? -133651 In base 9, what is 163 - -10135? 10308 In base 16, what is 7a + 34? ae In base 4, what is 1 + 22203000? 22203001 In base 12, what is -1 - -120666? 120665 In base 2, what is -11100000101 + 110? -11011111111 In base 16, what is 16196 + 1? 16197 In base 11, what is 66 - -164a? 1705 In base 8, what is 105375 + -141? 105234 In base 14, what is 197c + -66? 1916 In base 4, what is 11 + 10220? 10231 In base 10, what is -98 - -6? -92 In base 16, what is ae172 + -1? ae171 In base 2, what is 110100111100010001 - -10111? 110100111100101000 In base 7, what is 365 + 1261? 1656 In base 7, what is -1636 - 2401? -4340 In base 8, what is 3274374 + -5? 3274367 In base 4, what is -21231020 - 111? -21231131 In base 6, what is -203 + -10025? -10232 In base 11, what is 13 + 7937? 794a In base 15, what is 33 - 3bd? -38a In base 7, what is 6423 - 5? 6415 In base 14, what is -15b + 262? 105 In base 15, what is -12283 - 3? -12286 In base 12, what is -7 + -143447? -143452 In base 2, what is 1101011010010 + 1000? 1101011011010 In base 2, what is 11111011010110 + 101? 11111011011011 In base 8, what is -1153 - 24? -1177 In base 7, what is -43205 - 5? -43213 In base 16, what is -44ec + -3? -44ef In base 7, what is -13 - 412050? -412063 In base 3, what is 20012022 + -1002? 20011020 In base 8, what is 3 + -3027? -3024 In base 11, what is 37 + 1053? 108a In base 10, what is -2716 + 26? -2690 In base 8, what is -34 + 152451? 152415 In base 13, what is -5 - -1960? 1958 In base 7, what is 16105 + 1546? 20654 In base 9, what is -102 + 30? -62 In base 11, what is -37 + 4488? 4451 In base 14, what is -84d1 + -15? -8506 In base 2, what is -101001011 - -10110100? -10010111 In base 16, what is -21e0 + 5? -21db In base 3, what is 1 - -20022122121? 20022122122 In base 13, what is 2 - 9b46? -9b44 In base 8, what is 360 - -1646? 2226 In base 14, what is 4a - -ad0? b3a In base 9, what is -877 - 124? -1112 In base 6, what is -24 + -54515? -54543 In base 4, what is 2 - -131033010? 131033012 In base 3, what is -120121111 - -21? -120121020 In base 16, what is ef9 - -17? f10 In base 8, what is -440442 + 2? -440440 In base 2, what is 110100 - -1011111110100? 1100000101000 In base 9, what is 6333 - 2? 6331 In base 2, what is -1110100 + -100110? -10011010 In base 13, what is -8 - 42a1? -42a9 In base 7, what is -6262 - 14? -6306 In base 2, what is 100 - 1110001100001010000? -1110001100001001100 In base 8, what is -14 + 2746? 2732 In base 3, what is 10 - -111220212? 111220222 In base 8, what is 226 + 651? 1077 In base 7, what is 426 - 5430? -5001 In base 6, what is -122 + 2102? 1540 In base 13, what is -447 + 80? -397 In base 6, what is -1345422 - 1? -1345423 In base 7, what is -26 + 311602? 311543 In base 3, what is 10010 - 10100001? -10012221 In base 8, what is 1014 - 1221? -205 In base 15, what is 4 + -3306? -3302 In base 2, what is -1100011 + 100010010100? 100000110001 In base 16, what is 14 - -4b58? 4b6c In base 11, what is 2a43a - -22? 2a461 In base 2, what is -110000011110 - 1010? -110000101000 In base 11, what is 5 + 14813? 14818 In base 2, what is 0 + 11111001001111? 11111001001111 In base 6, what is 201204 - -5? 201213 In base 12, what is -9288 - -68? -9220 In base 5, what is -1 + 212233? 212232 In base 10, what is 20 + 104832? 104852 In base 4, what is -1201 - 10130? -11331 In base 5, what is 43021334 - 4? 43021330 In base 10, what is -9323 - 0? -9323 In base 10, what is 193620 - 3? 193617 In base 14, what is 4399 - a? 438d In base 9, what is 10616 - 36? 10570 In base 15, what is 18 + 148? 161 In base 8, what is -331 - 26220? -26551 In base 5, what is 0 - 130221132? -130221132 In base 15, what is -e4 - 396a? -3a5e In base 5, what is -3304 - 303? -4112 In base 9, what is -1 - 11563? -11564 In base 3, what is 20022210 + 102? 20100012 In base 14, what is 4 + 216663? 216667 In base 5, what is 3 + 202444? 203002 In base 15, what is 8e32a - 3? 8e327 In base 10, what is -26833 + -27? -26860 In base 2, what is -100 + 1000000111000? 1000000110100 In base 11, what is 3 - -23a15? 23a18 In base 14, what is 3a + 1602? 163c In base 7, what is -64 - -1430? 1333 In base 9, what is -403 + 2444? 2041 In base 11, what is -350 - 743? -a93 In base 7, what is 1 + -53262? -53261 In base 2, what is 1000000 + 1010001001? 1011001001 In base 5, what is 13 - -213103244? 213103312 In base 9, what is -15 + 286? 271 In base 13, what is -70307 - 0? -70307 In base 4, what is 112220 - -33? 112313 In base 11, what is -a33923 + 1? -a33922 In base 8, what is -135571 + -177? -135770 In base 12, what is -5b85 - 16? -5b9b In base 6, what is -1435411 + -3? -1435414 In base 15, what is 0 - 4405? -4405 In base 2, what is -101 + -110001001011100100? -110001001011101001 In base 11, what is -1826 - -1? -1825 In base 11, what is 237665 + -10? 237655 In base 7, what is -25143316 - -5? -25143311 In base 10, what is 25474 - -5? 25479 In base 6, what is -100200 + -32? -100232 In base 11, what is -3 + -87a6? -87a9 In base 10, what is 1456 + -1931? -475 In base 4, what is 3200 + -1121113? -1111313 In base 5, what is 0 + 1132301? 1132301 In base 5, what is 2401412 - -13? 2401430 In base 16, what is -13b95 - c? -13ba1 In base 13, what is 97cac + -4? 97ca8 In base 6, what is 0 - -200200? 200200 In base 9, what is 1586 + 12? 1608 In base 9, what is 241085 - -2? 241087 In base 12, what is -32513 + 5? -3250a In base 11, what is -127571 - 2? -127573 In base 16, what is 2901 - -b? 290c In base 5, what is 21431 - -104? 22040 In base 13, what is 56 + -94bc? -9466 In base 5, what is 14400 + 44? 14444 In base 7, what is -644050 - 0? -644050 In base 12, what is 20 - -a915? a935 In base 8, what is -2 - 1073676? -1073700 In base 10, what is -17220 - -5? -17215 In base 10, what is -197 + 1074? 877 In base 2, what is 1000 - 10110110010000? -10110110001000 In base 6, what is 435 + -224322? -223443 In base 15, what is -ae52 + -32? -ae84 In base 6, what is -44 + 3215? 3131 In base 4, what is -301202 + 11023? -230113 In base 14, what is -2 + 1555c8? 1555c6 In base 9, what is 18631 - 1? 18630 In base 2, what is 1010001010000001010111 + 100? 1010001010000001011011 In base 7, what is 14 + 211356? 211403 In base 2, what is -1011001100 - 1010? -1011010110 In base 8, what is -74 + -21544? -21640 In base 16, what is d9 + 5? de In base 2, what is -101110010000 - 11111? -101110101111 In base 16, what is -1f84 + -8? -1f8c In base 15, what is -1612 + 1de? -1423 In base 13, what is -5350 + 34? -5319 In base 3, what is 1221101110 + -202? 1221100201 In base 4, what is -130221 - 12222? -203103 In base 12, what is a + -20421? -20413 In base 9, what is 16483 + -261? 16222 In base 5, what is 2 +
{ "pile_set_name": "DM Mathematics" }
tiply 75 and -1. -75 Calculate 1.04*0.025. 0.026 Calculate 15.78*0.02. 0.3156 Product of 0.34 and 10. 3.4 818*-0.09 -73.62 What is 0.2 times 69? 13.8 0.2 times -32 -6.4 8 times -26 -208 Work out -1 * -0.023. 0.023 What is -19 times -1? 19 What is the product of 504 and -0.03? -15.12 Multiply 5 and 0.02. 0.1 -31 times 0.19 -5.89 Product of 0.2 and 6.74. 1.348 Product of -0.609 and 1. -0.609 What is the product of -6 and 8? -48 -3.23 times 0.1 -0.323 What is the product of 0.17 and 1.18? 0.2006 Product of -0.1 and -487. 48.7 Product of 15.69 and -0.5. -7.845 -9*0.1 -0.9 What is the product of -5 and -0.022? 0.11 Multiply 2.63 and -3. -7.89 What is the product of -52 and -0.69? 35.88 Work out -7 * 410. -2870 What is the product of 4 and -1752? -7008 What is the product of 0.5 and -0.77? -0.385 Calculate -0.01*-39. 0.39 What is 536 times -0.1? -53.6 11*-14.8 -162.8 Calculate 3*767. 2301 What is the product of 0.1 and 100.5? 10.05 Multiply 4 and -595. -2380 Product of 0.05 and 1.269. 0.06345 -0.036 * -317 11.412 0.3 * -6920 -2076 Multiply -0.063 and 5. -0.315 -0.013 times -11 0.143 What is -59 times 1.74? -102.66 What is the product of 0.01 and 0.73? 0.0073 What is -0.08 times -163.1? 13.048 Calculate 0.0458*-0.4. -0.01832 Multiply -614 and -0.7. 429.8 20 times -12 -240 Work out 3 * -4.36. -13.08 Product of 3.7 and -2. -7.4 Work out -2 * -54. 108 Product of -22.6 and 0.05. -1.13 What is 493 times -5? -2465 What is the product of 176 and 17? 2992 Multiply -1 and 65. -65 What is -240.76 times -0.4? 96.304 -0.31*31 -9.61 3030 times 4 12120 0.35 times -0.2 -0.07 0 times 690 0 Product of 561 and -2. -1122 Work out -26 * 1. -26 What is the product of 50 and -2? -100 Product of -3 and -0.26. 0.78 Product of -0.06 and 0.33. -0.0198 -0.012 times 0.4 -0.0048 10*12.9 129 -3 * 146 -438 Calculate -5*-299. 1495 1.2*0.69 0.828 What is -24 times 29.7? -712.8 4 * -53.4 -213.6 What is -2 times 69? -138 0.5 times 0.036 0.018 -93 times -0.4 37.2 63 times -2 -126 Calculate 827*4. 3308 5592*-0.3 -1677.6 Multiply -0.3 and 1.08. -0.324 What is the product of 0.2 and -2924? -584.8 What is the product of -15 and -14? 210 Work out -45 * 5.35. -240.75 0.04*2.4 0.096 What is the product of -0.04 and -3920? 156.8 What is the product of -0.1 and -3413? 341.3 -0.5 times -6519 3259.5 Calculate 0*0.508. 0 What is 9 times -41.7? -375.3 What is 0.2 times -6.31? -1.262 What is the product of -120 and -0.3? 36 Work out 0.05 * -6. -0.3 What is the product of 0.1 and -357? -35.7 Work out 50 * -9. -450 Calculate 8*-6.1. -48.8 Calculate -0.4*-4624. 1849.6 0.221*0.24 0.05304 -0.35 times -41 14.35 56.9*3 170.7 Calculate 1*-501.9. -501.9 Calculate -1.6*-57. 91.2 Calculate 24*-22. -528 What is 14 times -20? -280 Calculate -0.5*-0.068. 0.034 3922*-0.5 -1961 Work out -8 * 84. -672 Calculate 6*1135. 6810 0.3 * -2355 -706.5 Calculate -1*-97. 97 Calculate -0.034*1.47. -0.04998 -2.6 * -251 652.6 Product of 25 and 3. 75 Product of -2 and -0.2. 0.4 Product of -8.52 and -4. 34.08 -21 times -0.014 0.294 Calculate 21.9*-0.2. -4.38 1.562 * 0.1 0.1562 What is the product of -1 and -4499? 4499 Product of -0.1 and 71. -7.1 What is 3 times -7? -21 What is -345 times 0.2? -69 -0.3 times 0.28 -0.084 Work out -68.46 * -2. 136.92 What is the product of -35 and 540? -18900 1.2*0.12 0.144 What is 0 times -9679? 0 What is the product of 36 and -23? -828 Multiply 140 and 29. 4060 Work out -0.327 * 24. -7.848 Calculate -592*-0.2. 118.4 -6 * 52 -312 What is the product of -1216 and -21? 25536 What is the product of 5 and 0.347? 1.735 Multiply 2 and -0.003. -0.006 -3.81 times 0 0 Multiply -5 and 0. 0 Work out -3.651 * 0.2. -0.7302 What is the product of -15 and 616? -9240 What is the product of 2 and -0.1478? -0.2956 Work out -0.27 * -0.8. 0.216 What is the product of -155 and -1.6? 248 What is the product of 3 and -0.0308? -0.0924 Multiply 6 and -13.33. -79.98 Work out 1.11 * 0.04. 0.0444 -6502*-4 26008 -35*-3 105 What is -0.5 times -0.206? 0.103 -0.0566*0.08 -0.004528 Work out -204 * 0. 0 -2.5 times 2.5 -6.25 Product of 507 and 0.1. 50.7 Multiply 0.1 and -10. -1 What is the product of -1.5 and -0.499? 0.7485 -5 * -381.2 1906 What is 0.4 times -230? -92 Product of -246 and -103. 25338 What is -192 times -0.07? 13.44 What is the product of 13.7 and 0.39? 5.343 Work out -3 * -1.8. 5.4 397 times -1.9 -754.3 Work out 2 * 5.95. 11.9 Calculate -0.39*0.7. -0.273 What is the product of -281.45 and 0.5? -140.725 What is -0.3 times 20? -6 -0.3 times -6.547 1.9641 Multiply 0.1 and 2.8. 0.28 Calculate -5*2.71. -13.55 Product of 73 and 1. 73 Calculate 3.15*6. 18.9 What is -5166 times 5? -25830 Multiply 0.031 and 19. 0.589 Work out -20 * 0.129. -2.58 What is the product of 0.2 and -0.62? -0.124 Multiply -471 and 4. -1884 Product of -6 and 0.5. -3 What is the product of 2.02 and -0.5? -1.01 What is -0.5 times -1477? 738.5 0.0094 times -3 -0.0282 Calculate -0.08*9. -0.72 Product of 5 and 719. 3595 Work out -0.4 * 0.0099. -0.00396 Product of -932 and -1. 932 Calculate -1.7*-2. 3.4 Calculate 2.6*-737. -1916.2 -0.31 times -0.1 0.031 0.03 * -12 -0.36 Multiply -368 and -0.5. 184 57 * 0.6 34.2 What is the product of 0.1 and 0.23? 0.023 Calculate 365*-0.4. -146 Product of 0.0152 and 0.1. 0.00152 5*0.117 0.585 What is the product of -0.1618 and -0.3? 0.04854 Work out -0.24 * -69. 16.56 Calculate -780*0.1. -78 1 times -1.8 -1.8 -0.04 * 19 -0.76 -0.2*-0.147 0.0294 What is -0.2 times 1140? -228 Multiply -0.7 and -0.06. 0.042 Work out 390 * -1.1. -429 -7 times -124.7 872.9 Calculate -589*0.04. -23.56 What is 21 times 949? 19929 -551.2*4 -2204.8 -0.5 times 2722 -1361 What is the product of -71 and 1? -71 -0.21 times 6 -1.26 Multiply 0 and 0.2873. 0 -1.3 times 3 -3.9 Work out -0.3 * 0.1. -0.03 What is the product of -2 and 0.55? -1.1 What is -3 times 65? -195 0.36 * 202 72.72 Work out 0.01 * 0.209. 0.00209 Calculate 0.6*-20.6. -12.36 Multiply 0.1 and -528. -52.8 -0.91 times -5 4.55 Product of 1 and -101. -101 Product of 0.0085 and 0.02. 0.00017 Work out 289 * 0.4. 115.6 -0.5*2.63 -1.315 What is 0 times 0.0184? 0 Calculate 5*0.158. 0.79 -0.04 * 70 -2.8 What is the product of 0.024 and -0.4? -0.0096 25*0.07 1.75 Product of 232 and -15. -3480 130 times 0.2 26 -0.061 times 2.7 -0.1647 Multiply 3.5 and -10. -35 Calculate 746*-2. -1492 Calculate 0.0843*-4. -0.3372 Work out 0.18 * -139. -25.02 What is -5 times 85? -425 What is 0.399 times -0.2? -0.0798 Calculate -338*-0.4. 135.2 What is the product of -0.0329 and 4? -0.1316 Work out 5.72 * 1. 5.72 40*-2.9 -116 Product of -4 and 5.8. -23.2 What is the product of 1.034 and -1? -1.034 5666 * -0.5 -2833 Calculate -3169*-0.2. 633.8 Multiply -29917 and 0.3. -8975.1 Product of 58 and 2. 116 Multiply -9 and 0.22. -1.98 Multiply 1.428 and -0.4. -0.5712 Calculate -4*-0.2524. 1.0096 What is the product of -0.07 and 0.2307? -0.016149 Multiply -0.0184 and -0.1. 0.00184 Calculate -7.6*0.05. -0.38 -0.4*0.0521 -0.02084 What is 1.8 times -0.0051? -0.00918 6229 times 0.1 622.9 What is the product of 22.633 and -0.4? -9.0532 Product of 16 and -15. -240 What is the product of 0.4 and 4.35? 1.74 Multiply -941 and -4. 3764 -10.3 * -0.4 4.12 -7 times 0.0366 -0.2562 What is -0.056 times -23? 1.288 What is the product of 2998 and -0.5? -1499 What is the product of 0.22354 and -0.2? -0.044708 Calculate 7.7*0.06. 0.462 4.3 * 0 0 0.8*-3.01 -2.408 Work out -7833 * 1. -7833 Product of 1.3 and -124. -161.2 0.4*-49.2 -19.68 -4 * -6.01 24.04 13 times -4 -52 Calculate 0.046*-9. -0.414 What is the product of 19.1 and -171? -3266.1 224 times -53 -11872 Product of 168 and -0.14. -23.52 Multiply 0.5 and 649. 324.5 23*3 69 What is -0.3 times -6916? 2074.8 -261 * 0.5 -130.5 -0.626*-5 3.13 -14 times 57 -798 -0.83*-2.61 2.1663 What is -75.97 times -0.3? 22.791 Calculate -0.2*-91. 18.2 Product of 0.5 and -11.29. -5.645 Work out -0.0515 * 0.6. -0.0309 Work out -0.023 * -0.7. 0.0161 Calculate 7*-0.04. -0.28 Calculate -7*305. -2135 What is -2 times -0.448? 0.896 2910*-5 -14550 -0.2 * -860.8 172.16 Multiply -7.97 and 0.04. -0.3188 Product of 13 and -0.65. -8.45 62.6 * -0.5 -31.3 -3.6 * -0.1 0.36 Calculate -9*-0.14. 1.26 -0.072 times 6 -0.432 What is the product of -3.5 and -0.0402? 0.1407 Product of -1 and -0.00067. 0.00067 Multiply 329 and 0.2.
{ "pile_set_name": "DM Mathematics" }
1 decimal place. 0.7 Let d = 1336717 + -751258. Suppose -4*f = -3*f + d. Let w = f - -65459. What is w rounded to the nearest one hundred thousand? -500000 Let q = 0.9 + -0.92. Let x = -0.13 - q. Let y = x - -0.46. What is y rounded to one decimal place? 0.4 Let r = -22 + -1. Let t = -22.36 - r. Let z = 4.56 + t. Round z to 0 decimal places. 5 Let g(t) = 3355*t - 80. Let d be g(16). What is d rounded to the nearest ten thousand? 50000 Let t = -0.181 - -24.581. Let a = -7 - -36. Let n = a - t. What is n rounded to the nearest integer? 5 Suppose -3*q + 1047112 = -1176584. Let k = -1631232 + q. Round k to the nearest one hundred thousand. -900000 Let h = 13481671429.00000163 - 13481671045. Let r = -384 + h. What is r rounded to 7 decimal places? 0.0000016 Let p(d) = 18055*d**2 + 2*d + 8. Let l be p(6). Round l to the nearest 100000. 700000 Let b be -420001 + (6 - 3) + -2. Round b to the nearest one hundred thousand. -400000 Let m = -4.4 - -7.56. Let b = -3 + m. Round b to one decimal place. 0.2 Let o = -226.00495 - -226. Round o to 4 decimal places. -0.005 Let p(i) = -681*i**2 + 11*i - 10. Let t be p(10). What is t rounded to the nearest ten thousand? -70000 Let j(t) = -123 - t - 3*t + 3*t - 7. Let m be j(0). What is m rounded to the nearest 100? -100 Suppose v - p + 5*p - 126 = 0, -5*v + 545 = 3*p. Let q = 29 - v. Let r = q + 158. Round r to the nearest 10. 80 Let u = 2.5 + -2.48. Round u to 2 decimal places. 0.02 Let k = 21.8 - 30.7. Let u = k + 145.1. Let l = 126 - u. What is l rounded to 0 decimal places? -10 Let g = 0.69017 + -0.600148. Let c = 0.09 - g. Round c to 5 dps. -0.00002 Let n = 32.9994 - 33. What is n rounded to three decimal places? -0.001 Let a = 0.1156 + -0.10971. What is a rounded to 3 decimal places? 0.006 Let l = -146.00735 - -146. Round l to 3 dps. -0.007 Let a = -33 + 32.35. Let y = a - -0.64999845. What is y rounded to 7 dps? -0.0000016 Let g = 0.57 + -0.11. Let t = 0.96 - 1. Let x = t - g. What is x rounded to zero decimal places? -1 Let s(l) = 2*l**2 + 7*l - 5. Let w be s(-6). Suppose 3*o = -w + 244. Round o to the nearest 10. 70 Let s = 0.042 - -30.958. Let g = s + -30.999873. What is g rounded to five dps? 0.00013 Suppose -3*m + 4*m = 2290000. Round m to the nearest 100000. 2300000 Let u = 0.86000212 + -0.86. What is u rounded to 7 decimal places? 0.0000021 Let p = 4.87 - 6.496. Let n = p - -1.5. Round n to two dps. -0.13 Let z = -0.078 + -39.922. Let j = z - -45.2. What is j rounded to zero decimal places? 5 Let s = 0.03 - -0.15. Let c = s - 0.179991. Round c to 6 decimal places. 0.000009 Suppose 2*d - 5*d = -2*y - 111, 0 = -4*y - 3*d - 195. What is y rounded to the nearest ten? -50 Let h(s) = -23*s**3 + 22*s**3 - s + 0 + 0 + s**2. Let w be h(0). What is w rounded to the nearest one hundred thousand? 0 Suppose 16686 = 2*g - 5215318. Let j be 1/(-4) + g/8. Suppose 187323 + 139677 = -3*l + 4*f, 3*f + j = -3*l. What is l rounded to the nearest 10000? -110000 Let f = -2 + 2.07. Let b = 561.87 + -567. Let u = b - f. What is u rounded to 0 dps? -5 Let j be 2/(-4)*(-328 - -2). Suppose -w - j = 537. Round w to the nearest one hundred. -700 Suppose 0*i = i - 59. Round i to the nearest 10. 60 Let x = 52 + -80. Let d = 27.99892 + x. Round d to 4 dps. -0.0011 Let u = 61224141 - 61224132.9000302. Let s = u - 8.1. Round s to 6 decimal places. -0.00003 Let f = 30 + -28.39. Let h = f - -0.19. What is h rounded to one dp? 1.8 Let m = -8702451350 + 8702451258.00000047. Let g = 92 + m. Round g to seven dps. 0.0000005 Let d = 511529890634.99957 + -511524380743. Let z = d - 5509857. Let k = z + -35. What is k rounded to 4 dps? -0.0004 Let k = 102781414 - 102781408.4482303. Let a = k + -0.0523897. Let y = a - 5.5. What is y rounded to four dps? -0.0006 Suppose -2*o + 6*o = -4, 1133 = 3*a + 4*o. What is a rounded to the nearest ten? 380 Let w = -384 + 383.663. Round w to 2 decimal places. -0.34 Suppose -9600003 = 3*k + x, 9599988 = -3*k - 0*k + 4*x. What is k rounded to the nearest 100000? -3200000 Let h = 13 - 13.19. Let o = h + 0.173. What is o rounded to 2 decimal places? -0.02 Let a = -41686 - -80686. Suppose -y + a = 2*y. What is y rounded to the nearest 10000? 10000 Let w = 0.49 - 0.95. Let c = w - 0.04. Let j = 0.64 + c. What is j rounded to one dp? 0.1 Let p = 0.067 - 0.066795. Round p to five decimal places. 0.00021 Suppose 2*z + 439790 = 4*z. Suppose 4*i + z = -380105. What is i rounded to the nearest 100000? -200000 Let u(o) = 5*o + 1. Let s be u(-1). Let z be (s/(-4))/(2/(-76)). Round z to the nearest ten. -40 Let q = 7 + -3. Suppose 5*o + 5*f - 23 = 2*f, -2*o - q*f = -12. Suppose -4*s = 6*g - g + 380, 5*s - 345 = o*g. Round g to the nearest one hundred. -100 Let y be (153/(-34))/((-6)/8). Suppose 0 = -y*r + 4*r + 2820. Round r to the nearest 100. 1400 Let h = 2903 - -748. Let x = h - -3549. What is x rounded to the nearest one thousand? 7000 Let b = 2.415 + -0.025. Let i = b + 0.01. What is i rounded to the nearest integer? 2 Let i = -399053 + 399021.9949. Let g = 30.3 + 0.7. Let t = i + g. Round t to three decimal places. -0.005 Let a = 59.62 + 0.38. Let l = 58.06 - a. Let g = 0.24 + l. Round g to the nearest integer. -2 Let t(i) = 3800*i**3 - 12*i**2 + 9*i + 10. Let h be t(12). Suppose 3*b - 6035202 = 2*k + h, 0 = k - 4. What is b rounded to the nearest one million? 4000000 Let c = -55740857560662.9999901 - -55738958259437. Let f = c - -1899301360. Let s = 134 - f. Round s to six decimal places. -0.00001 Let f = -26.4 + 3.4. Let o = -23.0000013 - f. What is o rounded to six decimal places? -0.000001 Suppose 2 = u - 0. Suppose 10200015 = -4*r + u*r + 3*l, 0 = 2*r - l + 10200005. Round r to the nearest one million. -5000000 Let h = -9.7 - -10. Let s = h + -0.300011. Round s to 5 dps. -0.00001 Let u = -1.9 + -0.6. Let y = 22.5 + u. Let s = y - 20.0106. What is s rounded to three dps? -0.011 Let i = -2 - -1.92. Let u = 24.54985 + -24.47. Let o = u + i. Round o to four dps. -0.0002 Let u = 23.946 + 0.054. Let m = -816.3 - -840.394. Let q = m - u. What is q rounded to 2 decimal places? 0.09 Let x = -5.7948 - -5.8. What is x rounded to 3 decimal places? 0.005 Let j = 13.13 - 13. Let o = j + -0.13000092. What is o rounded to 7 dps? -0.0000009 Let s = 0.69 - 0.01. Round s to one decimal place. 0.7 Suppose -4*o + 5*f = -5*o + 13, 0 = o - 3*f - 21. Let v be (0 - 1)*o/(-6). Suppose 5*n = 2*a - 5, 2*a - v*n + 4 = -n. What is a rounded to the nearest ten? -10 Let f = 2.39894 - 2.4. Round f to 4 decimal places. -0.0011 Suppose 2*r - 15 = -7. Let f = 7 - 2. Suppose f*q + 47 = 3*x - 2*x, 0 = -r*q + 8. Round x to the nearest ten. 60 Let s be -8 + 6*3/(-6). Let l be s/(-44) + (-1681)/4. What is l rounded to the nearest 100? -400 Let d = 7 - 6.9999998. What is d rounded to six dps? 0 Let p = -1.406973 - -0.266926. Let d = p + 1.14. What is d rounded to 5 dps? -0.00005 Let j = 124.05 - 119. Let a = -5 + j. What is a rounded to 1 dp? 0.1 Let m = 0.25985 + -0.251. Let n = -0.01 + m. What is n rounded to 4 dps? -0.0012 Let m = 0.13 + 7.87. Let y = m - 7.999. Round y to 2 decimal places. 0 Let a = -44228 - -11428. Round a to the nearest 10000. -30000 Let w(a) = -240*a**2 - 3*a - 16. Let n be w(8). What is n rounded to the nearest 1000? -15000 Let m = 22204 - -2796. Let o be ((-36)/5)/((-12)/m). Suppose 9*d = 4*d + o. Round d to the nearest ten thousand. 0 Let u = 15 - 12. Suppose 3*r + 140229 = -2*x + 52232, u*r = -4*x - 175997. What is x rounded to the nearest ten thousand? -40000 Suppose -2*q + 5*q = -2*d + 264, q + 2*d = 84. What is q rounded to the nearest one thousand? 0 Let f be (-4)/(-2 + 4 + -1). Let h = 6 + f. Let r be 1875*((-9918)/h - 1). Round r to the nearest one million. -9000000 Let g = -1.2 - -0.76. Let y = -111.44 - g. Let u = y - -110.99953. What is u rounded to 4 dps? -0.0005 Let i = 175.68 - 185. Let f = 9 + i. Let j = -0.32000026 - f. Round j to 7 dps. -0.0000003 Let x = -3.1 - -1.5. Let w = -8.6 - x. Let m = 6.9993 + w. Round m to 4 decimal places. -0.0007 Let r = 40.21 + -40. Let k = r - -0.02. Round k to one dp. 0.2 Suppose 3*c = v - 597 - 91, 3*v = 2*c + 454. Round c to the nearest 10. -230 Let h = -290 + 95. Let y = -113 - h. Let j = y + -82.00000074. Round j to seven dps. -0.0000007 Let n be 5114784 + 0/(2*-1). Suppo
{ "pile_set_name": "DM Mathematics" }
h(z) = z**2 + 2*z + 2. Let k = 24 - 27. Calculate the remainder when l(-8) is divided by h(k). 2 Suppose -2268 = -74*y + 15*y - 25*y. What is the remainder when 183 is divided by y? 21 Let k be (-4)/(-3)*(-6)/(-4). Let l(n) be the second derivative of 28*n**3/3 - 2*n**2 - n - 209. What is the remainder when l(k) is divided by 37? 34 Suppose -249056 = 988*j - 1074*j. Calculate the remainder when j is divided by 42. 40 Let h = 167 - 66. Let y(j) = -2*j**3 + 255*j**2 + 397*j - 1246. What is the remainder when h is divided by y(129)? 13 Let f = 4584 - 4515. Calculate the remainder when 337 is divided by f. 61 Calculate the remainder when 450*(34/12 + (-10)/4) is divided by 37. 2 What is the remainder when 3 + 4/(56/7434) is divided by 18? 12 Let t(k) = 163*k**2 - 422*k - 3. Suppose -4*y = -2*a + 108, -98 = -2*a - 2*y + 4. What is the remainder when t(3) is divided by a? 42 Suppose 19 = -a - 5*z, 7 = 5*z + 27. Suppose -6*l = -19 + a. Calculate the remainder when 11 is divided by l. 2 Let z(f) = -f**2 + f - 9. Let n be z(-7). Let b = -36 - n. Suppose 2*a + x + 4*x - 22 = 0, -3*a + 5*x + 58 = 0. Calculate the remainder when b is divided by a. 13 Calculate the remainder when (-8)/2*(-1393)/4*540/210 is divided by 56. 54 Let p = 43511 + -43206. Calculate the remainder when 2429 is divided by p. 294 Let t = -2498 - -2768. What is the remainder when 1089 is divided by t? 9 Let p = -8547 + 8772. Calculate the remainder when p is divided by 94. 37 Let q = -3506 + 4689. What is the remainder when q is divided by 37? 36 Let c(u) = 8*u - 13. Calculate the remainder when 48 is divided by c(4). 10 Let a = 53 + -44. Let b = a - 79. Let q = b - -89. Calculate the remainder when 74 is divided by q. 17 Let j(v) = v**3 - 26*v**2 + 53*v - 94. Let k be (-1 - -2)/(8/(-40)). Calculate the remainder when j(24) is divided by k + 3 - 1*-18. 10 Let f = -416709 - -416760. Let x = 10 - 7. What is the remainder when f is divided by 103/4 - x/(-12)? 25 Let n(c) = 2*c**3 + 30*c**2 + 34*c + 8. What is the remainder when n(-9) is divided by 356? 318 Let d(q) = 4*q**2 - 11*q + 12. Let a(m) = 3*m**3 - 4*m**2 - m. What is the remainder when a(4) is divided by d(2)? 4 Let t = -5617 - -5638. Calculate the remainder when 1782 is divided by t. 18 Let y be (-4)/16 - 126/(-24). Suppose 2*s + 3*c = 12, s + y = 3*c + c. Calculate the remainder when (-4)/(-10)*18*10/s is divided by 13. 11 Suppose 4*d - 105643 + 105563 = 0. Calculate the remainder when 4059 is divided by d. 19 Let m = -93 - -93. Suppose m = 4*f + 5*f + 2232. Calculate the remainder when (2/(-2))/((4/1)/f) is divided by 17. 11 Let h = 1 - 1. Suppose -265*m - 24*m = -73*m. Suppose h = -m*l - 7*l + 287. Calculate the remainder when l is divided by 10. 1 Let v(c) = 778*c**2 + 8*c + 12. What is the remainder when v(-1) is divided by 385? 12 Let n = -335 + 495. Suppose -3*j - 2*f + 97 = 0, 2*j - 6*j + 5*f = -n. Let u(b) = b**3 + 11*b**2 + 8*b - 2. Calculate the remainder when j is divided by u(-10). 17 What is the remainder when (-7)/((-28)/24) + 15 + -9 + 231 is divided by 102? 39 Suppose 27*k + 611 = 1016. Suppose -103 = -2*w + 465. Calculate the remainder when w is divided by k. 14 Calculate the remainder when 3895 is divided by 3 + 5 + 1/(-2)*(24 - 22). 3 Suppose j - 4831 = -4*n, -5*j = 2*n - 478 - 1951. Let z = n - 482. What is the remainder when z is divided by 26? 23 Let k be (4 - (6 - (-2)/(-1)))/(-1). Let v(u) = u**3 - 2*u**2 - u - 17. Let n be v(k). Let j = n + 32. What is the remainder when 86 is divided by j? 11 Let v be (-27)/12*4*1. Let g = -1 - v. What is the remainder when (-2562)/(-70) - 6*1/(-15) is divided by g? 5 Let n be (-6)/(-4 + 7) - (-16)/4. What is the remainder when 39 is divided by (-40)/16 + n + 74/4? 3 Suppose 0 = -0*k - 4*k. Let l(n) = n + 170. Calculate the remainder when l(k) is divided by ((-86)/(-16))/((39/(-728))/(84/(-196))). 41 Suppose 38*i = -77*i + 31395. What is the remainder when i is divided by 72? 57 Let k = 4551 + -4510. Suppose 2*r + 305 = 5*c, -4*c = -4*r - 0*r - 244. What is the remainder when c is divided by k? 20 Let d = -4570 - -4605. What is the remainder when 174 is divided by d? 34 Suppose k + 5*r = 331, 2*k + 5*r - 1339 = -2*k. What is the remainder when k is divided by (-1422)/2844 + 53/2? 24 Let y be (-25795)/(-134) + (-2)/4. Let n = y + -30. Calculate the remainder when n is divided by 13. 6 Suppose -8*u + 5*u = 0. Let k(x) = 10*x**2 - 42*x + 43. Calculate the remainder when k(4) is divided by u + 6 + -3 + 0. 2 Let m(r) = r - 14*r**3 + 18*r**3 + 6*r**3 + 16*r**3. Calculate the remainder when 213 is divided by m(1). 24 Let p be (-265487)/(-534) + 1/(-6). Let m = 512 - p. What is the remainder when 163 is divided by m? 13 Let t be 6/(-1) + (-1 - 0). Let q(i) = -16 - 1948*i + i**3 + 969*i + 976*i + 7*i**2. What is the remainder when 17 is divided by q(t)? 2 Let v = 77 - 80. Let o be v/2*(-4732)/21. Suppose o = 7*l + 6*l. What is the remainder when l is divided by 15? 11 Suppose 2*t + 198 = 2*b, t = -t - 2. Suppose 4*n = -3*o + 60, 2*o + 97*n - 96*n = 40. What is the remainder when b is divided by o? 18 Let t(k) = 2*k + 62. Let o = -17 + 45. Calculate the remainder when t(-5) is divided by o. 24 Suppose 2*f = -2*n + 10 + 6, 2*n - 4*f - 4 = 0. Let t(r) = r**2 + 22*r - 4. What is the remainder when t(n) is divided by 11? 10 Let f(p) = p**3 + 7*p**2 - 15*p + 8. Suppose -5*m = -4*m - 5*x - 12, -5*m - 4*x = -176. What is the remainder when f(-8) is divided by m? 0 Let p = 0 + -1. Let l(j) = -3*j**2 - 202*j + 1018. What is the remainder when (-2)/(62/(-58) - p) is divided by l(-72)? 9 Let b(l) = -9*l + 2. Let y(z) = 6*z**2 - 73*z + 106. What is the remainder when y(13) is divided by b(-3)? 26 Suppose -4*f + 20 = 0, a - 11*f + 15*f - 1049 = 0. Calculate the remainder when a is divided by 3. 0 Let s be (132/(-21) + 2)*(-2 - 5). Suppose -34*z + 108 = -s*z. Calculate the remainder when z is divided by (0 + -7)*24/(-28). 3 Let c be (-5)/4*2*(0 - 4). Suppose c = -2*m, 124 = 6*x - 2*x - 4*m. What is the remainder when x is divided by 6? 2 Let b = -290 - -308. Suppose -13*a = 58 - 851. Calculate the remainder when a is divided by b. 7 Let w be (-1 - 1) + 36/3. Let p(c) = -2*c**3 - 14*c**2 - 7*c + 3. Calculate the remainder when p(-7) is divided by ((-15)/w)/(3/(-54) - 0). 25 Suppose 152*f - 318*f = -155*f - 704. Suppose 2*j - 756 = -j. What is the remainder when j is divided by f? 60 Let i = 8313 - 7026. Calculate the remainder when i is divided by 258. 255 Let a(o) = o**3 + 36*o**2 - 42*o + 125. Let w be a(-37). Suppose -315*b = -w*b - 665. Calculate the remainder when b is divided by (1 - 2)/((-1)/23). 18 Suppose -j = 11*t - 10*t - 100, -4*j - 188 = -2*t. Calculate the remainder when 138 is divided by t. 40 Let b = 124650 - 124623. Let w(o) = o**3 - 4*o**2 + 6*o + 7. What is the remainder when w(5) is divided by b? 8 Suppose -2*b - 4*h = -7*h - 234, 0 = -5*h. Suppose 0 = 5*l - 14*l + b. Calculate the remainder when 102 is divided by l. 11 Suppose 6*i + 8*i - 728 = 0. What is the remainder when ((-14)/(-2) + -1)*i/3 is divided by 27? 23 Let k(d) = 49*d - 21. Let s be k(1). Calculate the remainder when 577 is divided by (46 + -48)*(-1 - s). 55 Let a(r) = -2*r**3 + 81*r**2 + 40*r + 67. Let d(t) = 3*t**2 - 114*t + 41. Let y be d(38). Calculate the remainder when 154 + (-3)/(2 + 1) is divided by a(y). 23 Let a = 66 + -61. Let p(c) = c**3 - 3*c**2 + 3. Let b be p(3). Suppose 197 + 125 = b*l + u, -6 = 3*u. What is the remainder when l is divided by a? 3 Suppose -4 = -4*z, 4*t + 5*z - 1381 = -0*t. What is the remainder when t is divided by 13? 6 Let f(g) = 33*g + 5. Let z be 4 - 122*4/(-8). Let p = -46 + z. Calculate the remainder when f(2) is divided by p. 14 Suppose 62*h - 20*h = -26*h + 4420. Calculate the remainder when 25544 is divided by h. 64 Let n = 124 + -121. Suppose -n*m + 4*s + 50 = -343, 5*s = -3*m + 420. Suppose 0 = 4*g + 8, -2*g - 62 = -2*q + g. Calculate the remainder when m is divided by q. 23 Suppose 110*v = 3*u + 106*v - 806, -4*u = 2*v - 1082. What is the remainder when u is divided by 22? 6 Let r(l) = -7*l + 4. Let w(a) = -84*a + 49. Let i(s) = 35*r(s) - 3*w(s). Suppose 0 = 83*g - 80*g - 15. Calculate the remainder when i(g) is divided by 15. 13 Suppose 5*u = a + 29 - 213,
{ "pile_set_name": "DM Mathematics" }
+ 5433. Calculate p(-1). -6 Let r(t) = -7*t**3 - 62*t**2 + 195*t + 2. What is r(3)? -160 Let d(m) = -3333*m + 59998. Determine d(18). 4 Let q(b) = -b**3 - 89*b**2 - 496*b + 135. What is q(-83)? -31 Let j(p) = p**3 - 4*p**2 - 32*p + 91. Calculate j(3). -14 Let x(o) = -1870*o - 1853. What is x(-1)? 17 Let u(d) = 9*d**2 - 17*d - 30. Determine u(2). -28 Let p(h) = -19944*h + 219394. Give p(11). 10 Let p(g) = 11*g**2 + 308*g. Calculate p(-28). 0 Let n(g) = 2*g**2 - 29*g + 4. Give n(16). 52 Let d(p) = -216*p + 3268. Give d(15). 28 Let z(u) = 29*u - 2342. Determine z(82). 36 Let k(n) = n**2 + 16*n - 73. Determine k(-19). -16 Let g(p) = 18*p - 139. Calculate g(10). 41 Let u(o) = o**3 + 176*o**2 + 1187*o + 682. What is u(-169)? 6 Let l(d) = d**3 - 36*d**2 - 74*d - 66. Determine l(38). 10 Let t(l) = -74*l + 1772. What is t(20)? 292 Let q(f) = -f**2 + 31*f - 148. Give q(24). 20 Let u(o) = -o**2 + 11*o + 66. Determine u(20). -114 Let a(k) = -334*k + 17025. Determine a(51). -9 Let z(f) = -6706*f - 207886. What is z(-31)? 0 Let w(z) = -z**3 - 25*z**2 - 63*z + 41. Calculate w(-22). -25 Let w(a) = -116*a - 710. What is w(-6)? -14 Let l(p) = 45*p - 3285. What is l(72)? -45 Let x(g) = 92*g**2 + 92*g - 3. Give x(-1). -3 Let x(w) = 2*w**3 - 13*w**2 - 15*w + 51. Calculate x(7). -5 Let a(m) = -6*m**2 - 11*m - 1. Give a(-1). 4 Let f(h) = 102*h + 170. Determine f(4). 578 Let f(s) = -21*s**2 - 223*s + 146. What is f(-11)? 58 Let k(t) = 5*t - 204. Calculate k(42). 6 Let z(k) = -7*k**2 + 92*k - 323. Determine z(7). -22 Let x(a) = a**3 + 40*a**2 - 622*a + 109. Calculate x(-52). 5 Let j(l) = -l**2 - 228*l + 3133. What is j(-241)? 0 Let q(v) = -48*v + 202. Determine q(-7). 538 Let y(l) = 3*l**3 - 34*l**2 + 11*l - 8. Give y(11). -8 Let g(q) = q**3 - 465*q**2 + 356*q + 50116. Determine g(464). 4 Let f(j) = 42*j + 2489. What is f(-58)? 53 Let s(w) = -2*w + 17. Determine s(27). -37 Let c(j) = 7*j**2 - 335*j - 174. What is c(48)? -126 Let s(m) = m**2 + 2022*m + 18101. Give s(-9). -16 Let d(u) = -126*u - 1641. Give d(-13). -3 Let u(w) = -24*w**2 - 2*w - 3. Calculate u(-1). -25 Let q(t) = 2*t**3 + 9*t**2 - 6*t + 51. What is q(-8)? -349 Let c(l) = l**3 + 2*l**2 - 147*l + 543. What is c(8)? 7 Let m(t) = 4*t**3 - 377*t**2 - 293*t + 775. Calculate m(95). 15 Let r(p) = p**2 - 82*p + 815. What is r(67)? -190 Let k(x) = -x**2 + 7*x - 2. Calculate k(3). 10 Let h(a) = -a**2 + 170*a - 6759. Give h(105). 66 Let w(z) = -75*z - 442. Calculate w(-7). 83 Let n(j) = 5*j**2 + 36*j + 14. Calculate n(-7). 7 Let s(p) = 235*p - 7817. Give s(33). -62 Let f(o) = 2*o**2 - 33*o + 4. What is f(7)? -129 Let w(k) = -k**3 - 102*k**2 + 196*k - 1375. What is w(-104)? -127 Let y(m) = -m**3 + 45*m**2 - 27*m - 737. What is y(44)? 11 Let p(a) = 149*a + 735. Calculate p(-5). -10 Let i(o) = -2*o**3 - 5*o**2 + 58*o + 166. What is i(-3)? 1 Let m(i) = 67*i - 40. Calculate m(-4). -308 Let m(p) = -3*p**2 + 215*p - 3846. What is m(36)? 6 Let h(l) = l**2 + 46*l + 262. Determine h(-7). -11 Let o(c) = -6*c + 295. What is o(45)? 25 Let p(v) = 7*v**2 - 29*v - 1. Calculate p(4). -5 Let g(n) = 1011*n + 281059. Calculate g(-278). 1 Let j(b) = b**3 + 4*b**2 + 2*b - 9. What is j(3)? 60 Let x(r) = r**2 - 7*r + 96. What is x(-8)? 216 Let y(i) = -7*i**2 - 250*i + 600. What is y(-38)? -8 Let z(f) = 32*f - 152. Determine z(10). 168 Let k(u) = -u**2 - 60*u - 824. What is k(-27)? 67 Let b(c) = 8*c**3 + 467*c**2 + 169*c - 309. Give b(-58). -19 Let m(r) = 31*r**2 + 808*r + 20. Give m(-26). -32 Let v(q) = -2*q**3 - 3*q**2 + 6*q + 25. What is v(-5)? 170 Let w(r) = 2*r**3 + 17*r**2 + 7*r - 2. Determine w(-8). 6 Let a(y) = -62*y**3 - 4*y**2 + 4*y + 1. What is a(1)? -61 Let t(i) = 7*i**2 + 4*i + 477. Give t(0). 477 Let u(k) = 4*k**2 - 32*k + 9. Give u(9). 45 Let h(r) = 581*r + 1151. Determine h(-2). -11 Let h(b) = -b**3 - 22*b**2 - 6*b - 61. Calculate h(-22). 71 Let v(d) = d**3 + 11*d**2 - 90*d - 915. Calculate v(-8). -3 Let p(k) = -247*k**2 - 7*k + 5. What is p(1)? -249 Let d(q) = 32*q**2 + 2*q - 1. Calculate d(3). 293 Let g(p) = -2*p**2 - 100*p + 1640. Give g(-63). 2 Let d(i) = -i**3 + 64*i**2 + 122*i + 657. What is d(66)? -3 Let y(n) = -544*n - 1122. Determine y(-2). -34 Let f(a) = -a**3 - 137*a**2 - 657*a + 349. Determine f(-132). -47 Let u(h) = -h**3 - 18*h**2 - 90*h - 747. Calculate u(-15). -72 Let w(u) = 1314*u + 17111. Give w(-13). 29 Let l(i) = 7*i**2 - 11*i + 98. Calculate l(6). 284 Let h(o) = 10*o**3 + 18*o**2 + 9*o - 7. Give h(-3). -142 Let w(z) = z**3 + 8*z**2 - 78*z - 139. Determine w(-13). 30 Let f(a) = 4*a**2 + 89*a + 215. Calculate f(-3). -16 Let i(d) = 2*d**2 - 2*d - 500. Calculate i(16). -20 Let j(d) = -d**3 - 15*d**2 - 17*d - 169. Calculate j(-12). -397 Let b(l) = -16*l**2 - 110*l - 13. Give b(-5). 137 Let x(d) = -2*d**3 + 20*d**2 + 15*d + 40. Determine x(9). 337 Let l(w) = -19*w - 541. Determine l(-16). -237 Let m(r) = -7*r**2 + 34*r + 133. Give m(-4). -115 Let z(w) = -12*w**3 - 3*w**2 - 21*w + 37. Give z(2). -113 Let s(r) = 14*r**2 + 171*r + 2. Determine s(-12). -34 Let t(r) = -r**3 + 6*r**2 + 31*r - 154. Calculate t(5). 26 Let c(i) = -8*i - 268. What is c(-29)? -36 Let c(v) = 2*v**2 - 100*v - 481. What is c(56)? 191 Let m(v) = -v**2 - 9*v - 30. Calculate m(5). -100 Let p(v) = 2*v**3 + 16*v**2 + 7*v - 34. Give p(-7). 15 Let a(l) = -19*l**2 + 265*l + 283. Determine a(-1). -1 Let h(d) = 2*d**3 - 22*d**2 - 21*d + 33. Determine h(12). 69 Let r(y) = -8*y**2 + 18*y - 19. Give r(1). -9 Let i(f) = -514*f + 3087. What is i(6)? 3 Let p(h) = -28*h**2 + 6*h - 1. What is p(-2)? -125 Let b(h) = 602*h - 20486. Determine b(34). -18 Let q(j) = -2*j**2 + 52*j + 2435. Determine q(-24). 35 Let k(h) = 5*h**3 - h**2 - 4*h - 2. Calculate k(-3). -134 Let p(c) = -23*c - 36. Give p(-1). -13 Let m(s) = 4*s**2 + 38*s - 117. Determine m(11). 785 Let o(f) = 102*f**2 - 247*f - 4. Determine o(3). 173 Let w(s) = s**3 - 6*s**2 + 55*s - 180. Determine w(4). 8 Let j(x) = -9672*x - 19354. What is j(-2)? -10 Let f(b) = 52*b - 295. Give f(9). 173 Let k(n) = n**2 + n - 153. What is k(14)? 57 Let o(k) = 177*k + 4770. What is o(-27)? -9 Let f(p) = 3*p**3 - 25*p**2 - 10*p - 28. Give f(9). 44 Let h(k) = -k**2 - 130*k - 3190. Determine h(-97). 11 Let l(z) = -61*z + 2266. Give l(37). 9 Let b(q) = 31*q**2 + 66*q + 2. Determine b(-2). -6 Let g(m) = -4*m**3 + 173*m**2 - 86*m + 1836. Calculate g(43). -13 Let v(f) = 194*f + 25028. Determine v(-129). 2 Let s(n) = -13*n - 97. What is s(-10)? 33 Let o(p) = -2*p**2 + 491*p - 9627. Give o(224). 5 Let q(w) = w**3 - w**2 - 2*w + 27. Determine q(-3). -3 Let p(c) = -14*c + 288. Determine p(20). 8 Let n(w) = -1104*w + 90524. Give n(82). -4 Let z(u) = 933*u**2 - 8406*u + 73. Calculate z(9). -8 Let h(x) = 33*x - 79. What is h(7)? 152 Let a(j) = 2*j**3 + 114*j**2 + 5*j + 319. What is a(-57)? 34 Let z(o) = -231*o**2 - 7392*o - 11. Calculate z(-32). -11 Let o(v) = -32*v + 112. Determine o(5). -48 Let o(v) = -2*v**2 - 45*v + 127. Determine o(-25). 2 Let x(a) = 241*a - 40. Determine x(1). 201 Let m(a) = -a**3 - 34*a**2 + 4*a + 153. What is m(-34)? 17 Let q(x) = x**3 + 4*x**2 - 3*x - 17. Calculate q(-3). 1 Let g(m) = 18*m**2 - 6*m + 11. Give g(2). 71 Let v(h) = h**2 + 402*h + 39557. Determine v(-172). -3 Let z(b) = -2*b**2 + 37*b - 22. Determine z(6). 128 Let s(f) = -21*f - 867. Determine s(-46). 99 Let g(q) = -10*q**2 + 4*q + 58. Determine g(5). -172 Let z(f) = -f**2 + 28*f + 14. What is z(30)? -46 Let z(y) = -y**2 - 353*y + 4011. What is z(11)? 7 Let x(n) = -n**3 + 25*n**2 + 36*n - 271. Calculate x(26). -11 Let r(b) = -37*b**2 - 11*b + 20. Calculate r(-3). -280 Let x(z) = -4*z**2 + 297*z + 15. What is x(0)? 15 Let y(z) = 118*z - 63. Calculate y(1). 55 Let r(q) = 7*q - 707. Determine r(103). 14 Let i(s) = s**3 - 7*s**2 + 46*s - 96. What is i(4)? 40 Let s(h) = h**2 + 1550*h + 10793. Determine s(-7). -8 Let n(j) = -j**2 + 16*j + 79. Give n(-5). -26 Let n(t) = -10*t**2 + 258*t + 4654. Give n(38). 18 Let g(b) = b**2 + 23*b + 426. Calculate g(0). 426 Let o(t) = 52*t - 1506. Give o(29). 2 Let g(s) = -2*s**2 + 70*s + 73. Give g(-1). 1 Let q(v) = 2*v**2 - 224*v + 2030. Give q(10). -10 Let t(d) = -57*d**2 + 408*d - 69. What is t(7)? -6 Let c(d) = d**3 + 26*d**2 - 48*d + 155. Give c(-28). -69 Let t(a) = -29*a - 279. What is t(-9)? -18 Let y(k)
{ "pile_set_name": "DM Mathematics" }
nt from ononuynunouyuuo? 2/21 Two letters picked without replacement from {k: 1, c: 2, w: 2, v: 2, g: 1, b: 1}. Give prob of picking 1 c and 1 k. 1/18 Two letters picked without replacement from hunhnhc. What is prob of picking 1 n and 1 h? 2/7 What is prob of picking 1 i and 2 l when three letters picked without replacement from zzlzzvlvpblvlzi? 6/455 Two letters picked without replacement from {m: 1, x: 1, h: 1, g: 1, j: 1}. What is prob of picking 1 g and 1 j? 1/10 What is prob of picking 2 a when two letters picked without replacement from tqqatatooatot? 1/26 Two letters picked without replacement from {d: 9, p: 2}. What is prob of picking 2 p? 1/55 Two letters picked without replacement from wwffffwfwwff. What is prob of picking 1 f and 1 w? 35/66 Two letters picked without replacement from nryyrrmjaraj. Give prob of picking 2 a. 1/66 Four letters picked without replacement from {f: 3, a: 9}. What is prob of picking 3 a and 1 f? 28/55 Two letters picked without replacement from {w: 3, i: 1, f: 1, d: 2, e: 4}. What is prob of picking 1 e and 1 f? 4/55 Two letters picked without replacement from {v: 5, c: 4, o: 1, y: 8}. What is prob of picking 1 c and 1 v? 20/153 Two letters picked without replacement from {d: 1, v: 3, u: 3}. Give prob of picking 2 v. 1/7 Three letters picked without replacement from {b: 1, c: 2, x: 1, n: 2, a: 1}. Give prob of picking 1 b, 1 n, and 1 c. 4/35 What is prob of picking 1 t, 2 r, and 1 p when four letters picked without replacement from {r: 2, p: 1, t: 2, v: 2, w: 4, m: 6}? 1/1190 Calculate prob of picking 1 u and 1 i when two letters picked without replacement from {i: 1, u: 2, h: 1, j: 2, k: 1}. 2/21 Three letters picked without replacement from vznuluuuklluluv. Give prob of picking 1 z, 1 k, and 1 v. 2/455 Two letters picked without replacement from {p: 1, o: 18}. Give prob of picking 1 p and 1 o. 2/19 Three letters picked without replacement from ggggggxxgggggggxgggx. Give prob of picking 2 g and 1 x. 8/19 What is prob of picking 2 k and 1 y when three letters picked without replacement from ykkkkkkkkkkkkkkkkkk? 3/19 Two letters picked without replacement from {i: 9, n: 6, y: 4}. Give prob of picking 1 y and 1 i. 4/19 Two letters picked without replacement from {j: 6, a: 6}. What is prob of picking 1 a and 1 j? 6/11 Calculate prob of picking 2 h and 1 t when three letters picked without replacement from {k: 8, h: 1, t: 1, v: 8}. 0 Three letters picked without replacement from {l: 2, a: 2, k: 5, m: 2, h: 2, j: 1}. Give prob of picking 1 a, 1 h, and 1 l. 2/91 Calculate prob of picking 2 y when two letters picked without replacement from {b: 2, y: 3}. 3/10 Calculate prob of picking 2 k, 1 f, and 1 h when four letters picked without replacement from hhktqktffknkthkqkqk. 21/646 Calculate prob of picking 1 x and 2 w when three letters picked without replacement from {x: 1, y: 1, r: 1, w: 2}. 1/10 Calculate prob of picking 1 l and 1 m when two letters picked without replacement from dckwlwlllmlwlllk. 1/15 What is prob of picking 1 f and 1 l when two letters picked without replacement from {o: 1, f: 3, l: 1, p: 2}? 1/7 What is prob of picking 2 w and 1 m when three letters picked without replacement from {m: 6, p: 2, w: 7}? 18/65 Two letters picked without replacement from bgaggijibgihiihhji. Give prob of picking 2 h. 1/51 Three letters picked without replacement from {r: 2, f: 1, k: 6, d: 3, l: 4}. What is prob of picking 1 r and 2 k? 3/56 What is prob of picking 1 f, 1 m, and 1 i when three letters picked without replacement from {j: 2, l: 1, i: 3, f: 10, m: 2, k: 2}? 1/19 Three letters picked without replacement from {i: 4, m: 2, b: 1, s: 1, x: 1}. Give prob of picking 1 s and 2 i. 1/14 What is prob of picking 1 f and 1 d when two letters picked without replacement from dfffb? 3/10 What is prob of picking 2 d when two letters picked without replacement from kzdfdk? 1/15 Calculate prob of picking 3 a when three letters picked without replacement from avakvkvavavkv. 2/143 Two letters picked without replacement from jcckxcq. What is prob of picking 1 k and 1 x? 1/21 Three letters picked without replacement from {s: 4, v: 1, t: 5, a: 1, x: 5}. Give prob of picking 1 a, 1 x, and 1 t. 5/112 Three letters picked without replacement from gwkwgkkgkk. Give prob of picking 2 g and 1 k. 1/8 Two letters picked without replacement from {w: 2, q: 7}. What is prob of picking 2 q? 7/12 What is prob of picking 1 o and 1 k when two letters picked without replacement from momkmoktoo? 8/45 Calculate prob of picking 1 h, 1 e, and 1 x when three letters picked without replacement from {x: 1, e: 7, z: 1, k: 3, h: 1}. 7/286 What is prob of picking 1 l and 1 m when two letters picked without replacement from {m: 4, o: 2, l: 2, q: 1, s: 10}? 8/171 Three letters picked without replacement from azazzzazzz. What is prob of picking 3 a? 1/120 What is prob of picking 1 k and 1 g when two letters picked without replacement from {k: 1, a: 2, g: 11}? 11/91 Two letters picked without replacement from {v: 2, m: 5, t: 1, i: 1}. Give prob of picking 1 i and 1 v. 1/18 Calculate prob of picking 1 p and 1 k when two letters picked without replacement from puhpekp. 1/7 What is prob of picking 2 t when two letters picked without replacement from {o: 14, t: 4}? 2/51 What is prob of picking 1 m and 2 c when three letters picked without replacement from rmcc? 1/4 Two letters picked without replacement from {a: 1, b: 1, k: 2, d: 2, j: 1, g: 1}. Give prob of picking 1 k and 1 b. 1/14 What is prob of picking 2 q when two letters picked without replacement from qrqpmqmpmqy? 6/55 Two letters picked without replacement from {p: 2, f: 1, k: 1}. What is prob of picking 2 k? 0 Two letters picked without replacement from ddztztdztdddttttttz. What is prob of picking 2 z? 2/57 What is prob of picking 1 n, 1 e, and 1 x when three letters picked without replacement from pnyyepxx? 1/28 Three letters picked without replacement from {i: 2, h: 5, q: 4}. What is prob of picking 3 h? 2/33 Four letters picked without replacement from jjjpppjo. What is prob of picking 2 p, 1 o, and 1 j? 6/35 What is prob of picking 1 u and 1 x when two letters picked without replacement from {q: 3, z: 2, x: 1, u: 4}? 4/45 What is prob of picking 2 y when two letters picked without replacement from {y: 9}? 1 What is prob of picking 2 m and 1 y when three letters picked without replacement from mmmsmyfmmffmyymymyy? 72/323 Calculate prob of picking 2 x when two letters picked without replacement from {h: 6, x: 7}. 7/26 Two letters picked without replacement from {b: 1, j: 1, i: 2, a: 3}. Give prob of picking 1 a and 1 j. 1/7 What is prob of picking 4 q when four letters picked without replacement from {q: 6}? 1 Calculate prob of picking 2 k and 1 l when three letters picked without replacement from {l: 3, k: 4}. 18/35 Calculate prob of picking 1 k and 2 i when three letters picked without replacement from {i: 2, k: 5, m: 2}. 5/84 Four letters picked without replacement from {l: 1, r: 1, b: 3, w: 11, g: 2}. What is prob of picking 1 r, 1 g, and 2 w? 11/306 Calculate prob of picking 1 t, 2 b, and 1 p when four letters picked without replacement from {t: 3, p: 9, a: 1, b: 5}. 3/34 Three letters picked without replacement from {m: 2, g: 7}. What is prob of picking 1 m and 2 g? 1/2 Calculate prob of picking 1 k and 1 p when two letters picked without replacement from {p: 1, x: 1, q: 1, d: 2, b: 1, k: 1}. 1/21 Calculate prob of picking 1 m, 1 e, and 1 a when three letters picked without replacement from {e: 1, a: 5, r: 12, m: 1}. 5/969 Four letters picked without replacement from {d: 10}. Give prob of picking 4 d. 1 Four letters picked without replacement from yuyuyyuuuyuuu. Give prob of picking 2 u and 2 y. 56/143 Two letters picked without replacement from yayy. What is prob of picking 2 a? 0 What is prob of picking 1 r and 2 a when three letters picked without replacement from bbababssaoboraaaar? 7/136 Three letters picked without replacement from eiee. Give prob of picking 2 e and 1 i. 3/4 Four letters picked without replacement from qqqqqqqtttqqqtttqq. What is prob of picking 4 t? 1/204 Three letters picked without replacement from {i: 2, p: 1, a: 1, o: 2, v: 1}. Give prob of picking 1 i, 1 a,
{ "pile_set_name": "DM Mathematics" }
m**2 + 5*m + 74 What is the s'th term of 26, 31, 32, 23, -2, -49? -s**3 + 4*s**2 + 23 What is the b'th term of -60717, -121433, -182149, -242865, -303581? -60716*b - 1 What is the t'th term of -561, -1123, -1681, -2235? 2*t**2 - 568*t + 5 What is the z'th term of -426, -940, -1454, -1968? -514*z + 88 What is the o'th term of -40, -31, 66, 287, 668, 1245, 2054? 6*o**3 + 8*o**2 - 57*o + 3 What is the t'th term of 1194, 2388, 3586, 4788, 5994? 2*t**2 + 1188*t + 4 What is the c'th term of -14546, -29443, -44340? -14897*c + 351 What is the m'th term of -9501, -37993, -85481, -151965, -237445, -341921? -9498*m**2 + 2*m - 5 What is the r'th term of 4439, 8903, 13367, 17831, 22295, 26759? 4464*r - 25 What is the w'th term of 3593, 7203, 10813, 14423? 3610*w - 17 What is the x'th term of 862694, 862695, 862696? x + 862693 What is the c'th term of 2611, 2601, 2577, 2533, 2463, 2361, 2221, 2037? -c**3 - c**2 + 2613 What is the s'th term of 98, 485, 1580, 3737, 7310? 59*s**3 - 26*s + 65 What is the p'th term of -815, -1590, -2367, -3146, -3927? -p**2 - 772*p - 42 What is the d'th term of 4507, 9009, 13509, 18007, 22503? -d**2 + 4505*d + 3 What is the x'th term of -9627, -19168, -28707, -38244? x**2 - 9544*x - 84 What is the z'th term of 81139, 162279, 243419? 81140*z - 1 What is the g'th term of 7275, 7280, 7287, 7296, 7307, 7320? g**2 + 2*g + 7272 What is the j'th term of 28466, 56920, 85360, 113786, 142198, 170596, 198980? -7*j**2 + 28475*j - 2 What is the s'th term of 120, 554, 1266, 2244, 3476? -2*s**3 + 151*s**2 - 5*s - 24 What is the z'th term of -1144, -4424, -9890, -17542, -27380, -39404? -1093*z**2 - z - 50 What is the v'th term of -8962, -8974, -8996, -9034, -9094, -9182, -9304? -v**3 + v**2 - 8*v - 8954 What is the u'th term of 161180, 644732, 1450652, 2578940, 4029596? 161184*u**2 - 4 What is the c'th term of -31820, -63642, -95464? -31822*c + 2 What is the p'th term of 113, 265, 429, 605, 793, 993? 6*p**2 + 134*p - 27 What is the w'th term of 311636, 623272, 934908, 1246544, 1558180? 311636*w What is the z'th term of 298, 1270, 2932, 5320, 8470, 12418, 17200? 6*z**3 + 309*z**2 + 3*z - 20 What is the g'th term of -1188, -4196, -9210, -16230? -1003*g**2 + g - 186 What is the y'th term of -237, -679, -1377, -2301, -3421, -4707, -6129, -7657? 5*y**3 - 158*y**2 - 3*y - 81 What is the l'th term of 373863, 747728, 1121593? 373865*l - 2 What is the i'th term of 191, 87, -161, -613, -1329? -10*i**3 - 12*i**2 + 2*i + 211 What is the n'th term of 491, 2006, 4533, 8078, 12647, 18246? n**3 + 500*n**2 + 8*n - 18 What is the u'th term of 201947, 201946, 201945, 201944, 201943, 201942? -u + 201948 What is the y'th term of -236, -829, -1820, -3209, -4996, -7181, -9764? -199*y**2 + 4*y - 41 What is the d'th term of -1651, -1672, -1729, -1840, -2023, -2296, -2677, -3184? -3*d**3 - 1648 What is the s'th term of 457, 688, 917, 1144, 1369? -s**2 + 234*s + 224 What is the x'th term of -21112, -20874, -20636, -20398, -20160, -19922? 238*x - 21350 What is the m'th term of 217, 891, 2019, 3601, 5637? 227*m**2 - 7*m - 3 What is the p'th term of 138661, 138660, 138659? -p + 138662 What is the w'th term of 8342, 16688, 25034, 33380, 41726, 50072? 8346*w - 4 What is the g'th term of 79, 283, 487? 204*g - 125 What is the h'th term of -3690, -29499, -99552, -235971, -460878? -3687*h**3 - 3 What is the c'th term of 666, 830, 994? 164*c + 502 What is the w'th term of -1900, -1802, -1638, -1408, -1112, -750? 33*w**2 - w - 1932 What is the s'th term of 3577, 14312, 32197, 57232, 89417, 128752? 3575*s**2 + 10*s - 8 What is the m'th term of -264, -392, -520, -648? -128*m - 136 What is the w'th term of 753905, 753903, 753901, 753899, 753897, 753895? -2*w + 753907 What is the m'th term of -760718, -760713, -760708, -760703? 5*m - 760723 What is the d'th term of 1644, 6540, 14710, 26154, 40872? 1637*d**2 - 15*d + 22 What is the u'th term of -885, -1601, -2323, -3051, -3785, -4525, -5271? -3*u**2 - 707*u - 175 What is the s'th term of -18567, -37141, -55725, -74319, -92923, -111537? -5*s**2 - 18559*s - 3 What is the n'th term of -9, 18, 89, 228, 459, 806, 1293? 4*n**3 - 2*n**2 + 5*n - 16 What is the z'th term of 1049, 988, 903, 794? -12*z**2 - 25*z + 1086 What is the l'th term of 3714, 7392, 11068, 14742, 18414, 22084, 25752? -l**2 + 3681*l + 34 What is the o'th term of 3511, 7002, 10495, 13990, 17487, 20986, 24487? o**2 + 3488*o + 22 What is the k'th term of 5430, 10839, 16246, 21651, 27054, 32455? -k**2 + 5412*k + 19 What is the n'th term of -2805, -5637, -8469, -11301, -14133, -16965? -2832*n + 27 What is the z'th term of 21, -74, -395, -1056, -2171, -3854? -19*z**3 + z**2 + 35*z + 4 What is the f'th term of 90, 328, 726, 1284, 2002? 80*f**2 - 2*f + 12 What is the m'th term of 2252, 4450, 6650, 8852, 11056, 13262? m**2 + 2195*m + 56 What is the d'th term of 113, 429, 951, 1673, 2589, 3693, 4979? -d**3 + 109*d**2 - 4*d + 9 What is the z'th term of 436, 1894, 4336, 7762? 492*z**2 - 18*z - 38 What is the y'th term of 6234, 6250, 6284, 6342, 6430, 6554, 6720, 6934? y**3 + 3*y**2 + 6230 What is the p'th term of -5944, -5946, -5950, -5956, -5964, -5974, -5986? -p**2 + p - 5944 What is the k'th term of -557039, -557036, -557033, -557030? 3*k - 557042 What is the u'th term of 75714, 151445, 227176, 302907? 75731*u - 17 What is the f'th term of 73, 32, -55, -194, -391, -652, -983? -f**3 - 17*f**2 + 17*f + 74 What is the k'th term of 1655959, 1655955, 1655951, 1655947? -4*k + 1655963 What is the c'th term of -172, -568, -964, -1360? -396*c + 224 What is the t'th term of -7776, -7746, -7716, -7686? 30*t - 7806 What is the i'th term of 1562, 12919, 43758, 103823, 202858? 1624*i**3 - 3*i**2 - 2*i - 57 What is the u'th term of -390, -499, -798, -1383, -2350, -3795, -5814? -16*u**3 + u**2 - 375 What is the t'th term of 51214, 51192, 51170, 51148, 51126? -22*t + 51236 What is the y'th term of -720, -1298, -1878, -2460, -3044, -3630? -y**2 - 575*y - 144 What is the i'th term of -1182, -1190, -1196, -1200, -1202, -1202? i**2 - 11*i - 1172 What is the u'th term of 125218, 250430, 375642, 500854, 626066? 125212*u + 6 What is the y'th term of -1122, -1186, -1250, -1314? -64*y - 1058 What is the o'th term of 40, 124, 208, 292, 376, 460? 84*o - 44 What is the f'th term of -17050, -34092, -51122, -68140, -85146, -102140, -119122? 6*f**2 - 17060*f + 4 What is the f'th term of 1293249, 2586500, 3879751, 5173002? 1293251*f - 2 What is the s'th term of -417, -467, -577, -777, -1097, -1567? -5*s**3 - 15*s - 397 What is the a'th term of -257165, -257166, -257167, -257168? -a - 257164 What is the a'th term of 1848, 7302, 16366, 29040, 45324, 65218, 88722? 1805*a**2 + 39*a + 4 What is the c'th term of 2300, 2228, 2112, 1952, 1748? -22*c**2 - 6*c + 2328 What is the q'th term of -575, -535, -495, -455, -415, -375? 40*q - 615 What is the c'th term of -6349, -6338, -6355, -6406, -6497? -c**3 - 8*c**2 + 42*c - 6382 What is the t'th term of 160, 305, 482, 691? 16*t**2 + 97*t + 47 What is the l'th term of 1012, 4185, 9480, 16903, 26460, 38157, 52000, 67995? l**3 + 1055*l**2 + l - 45 What is the f'th term of -1408, -1520, -1812, -2374, -3296, -4668, -6580, -9122? -15*f**3 - 7*f - 1386 What is the f'th term of -4616, -18593, -41882, -74477, -116372? f**3 - 4662*f**2 + 2*f + 43 What is the f'th term of 42, 75, 162, 327, 594? 4*f**3 + 3*f**2 - 4*f + 39 What is the v'th term of -427, -509, -591? -82*v - 345 What is the o'th term of 184, 290, 420, 586, 800, 1074, 1420? 2*o**3 + 92*o + 90 What is the u'th term of -2387, -4576, -6755, -8918, -11059, -13172, -15251? u**3 - u**2 - 2193*u - 194 What is the y'th term of -7574, -7569, -7560, -7547? 2*y**2 - y - 7575 What is the n'th term of -72, -498, -1244, -2334, -3792, -5642? -4*n**3 - 136*n**2 + 10*n + 58 What is the y'th term of 919, 1031, 1335, 1927, 2903? 16*y**3 + 903 What is the w'th term of 337186, 674372, 1011558, 1348744, 1685930? 337186*w What is the o'th term of -1946, -3851, -5744, -7619, -9470, -11291? o**3 - 1912*o - 35 What is the q'th term of -652, -2703, -6164, -11035? -705*q**2 + 64*q - 11 What is the w'th term of 291, 494, 629, 702, 719, 686, 609, 494? w**3 - 40*w**2 + 316*w + 14 What is the c'th term of -917, -3798, -8601, -15326, -23973, -34542? -961*c*
{ "pile_set_name": "DM Mathematics" }
-2 (b) -0.5 (c) f b Suppose -4*z + z = -12. Suppose 9 = 2*l + 3*h, -h + 19 = 2*l + z*h. What is the closest to 0.41 in l, 1/4, -5? 1/4 Let b = -156.488 - -156.43. What is the closest to 10 in -0.3, b, -0.4, 1/4? 1/4 Let x be (-2397)/(-204) - (48/(-6) - -3 - -17). Let w = -5 + 7. Let v = w - 2.5. What is the nearest to x in v, 1/2, 2/3? v Let h = -20.461 + 5.461. Which is the closest to -8? (a) 3 (b) h (c) -2/9 (d) -0.5 b Let y be (-2 - 0)/(7/14). Let x be -2 + (y - (-13 + 4)). Let l be ((-40)/(-12) + -3)*x/(-6). Which is the nearest to -0.03? (a) 1 (b) l (c) -1 b Let u = 592.6 - 593. Which is the nearest to 0? (a) u (b) 1.9 (c) -13/4 (d) -2 a Let i = 0 - 0.1. Let c = 17.9 + -140.9. Let b = 123.1 + c. What is the nearest to i in 3, b, 1? b Let s = 1.4 + -0.4. Let r = s - 0.5. Let b = 1655.2 + -1655. What is the nearest to b in r, -2, 3/4? r Let r = -1878 - -1883. What is the closest to 183 in -2/9, 0.1, r? r Suppose 72 = -23*o - 7*o + 18*o. Let s = -1.5 + 8.5. Let h = -9 + s. What is the nearest to -2/3 in 4, h, o? h Let q = -230/7 + 3938/119. Let o = q - 2/153. Which is the closest to -0.9? (a) o (b) -0.3 (c) 3/5 b Let v be (-2)/(-11) - 25756/107536. Which is the closest to 1? (a) 3 (b) -8/3 (c) v c Let q be ((-15)/(-45))/(4/18). Let o = 765 + -766.6. Which is the nearest to o? (a) 0 (b) 0.4 (c) q a Let y be 4/(-10) + (-14)/(-60). Let t = 5005 + -5003. What is the nearest to t in y, 1/4, -7/8? 1/4 Let o(q) = -q**2 + 7*q - 1. Let y be o(7). Let f = -72418 - -72415. Which is the nearest to y? (a) -2/5 (b) -4 (c) -2 (d) f a Let n = -3.141 - -3.041. What is the closest to 1/4 in -4, -2/7, n, 10? n Let k = 80995/11 + -7363. What is the nearest to -1 in -0.4, -1/9, -1/3, k? -0.4 Let o(a) = 1954*a + 54710. Let u be o(-28). Let g = -0.3 - -0.4. What is the nearest to g in 0.06, 1/4, -0.2, u? 0.06 Let p be 6 - 1 - 2184/420. Suppose 8 = 5*n + 3. Let o = 24 + -12. Which is the closest to n? (a) o (b) 0.1 (c) p b Let v = 1.96 + 0.31. Let b = -2.57 + v. What is the closest to 7 in -3/7, b, 2? 2 Let l = 6 - 3. Suppose 5*y - 3*q + 10 = 0, q - 23 = 2*y - 4*q. Let s be 114/171 + (-28)/24. Which is the nearest to 5? (a) l (b) y (c) s a Suppose -v - 2*l - 11 = l, -3*l - 16 = -4*v. Let p = -41 - -40.7. Which is the closest to -1/4? (a) 1/3 (b) v (c) p c Let c = 3.5 - 3.6. What is the nearest to c in 1/60, -4, -3? 1/60 Let i be (-203)/(-196) + (-6)/8. What is the closest to i in 0, 0.4, -1/112? 0.4 Let x = -5635/3 + 1879. Let a be (-1)/(-1) - (-11)/(-7). Let p = 1076/5 + -216. What is the closest to x in a, p, 2/3? 2/3 Let m = -0.22 - -0.22. Let r = -690.9 - -691. Which is the nearest to -1/5? (a) -4 (b) m (c) -2/7 (d) r c Let p = -4524 - -4526. Which is the closest to p? (a) -14 (b) 3/2 (c) 1/8 (d) -1/10 b Let h = -5165 + 5164.8. What is the nearest to -1/6 in h, 0.14, -0.03? h Let f(s) = 4*s**3 + 75*s**2 - 21*s - 44. Let r be f(-19). Which is the closest to r? (a) 0.2 (b) -2/7 (c) -1 (d) -65 c Let n be (-4)/14 + 7*44/539. What is the nearest to n in 0.2, 0.04, -22, -0.2? 0.2 Let b = -79107/2 - -39553. What is the nearest to -16 in b, -0.319, -5? -5 Let t = 1304 - 1301. Let y = 29.8 - 30.1. What is the nearest to 6 in -0.1, y, 0.1, t? t Suppose 0 = 4*m - 2*j - 16, 2*m - 3*j - 21 = -3*m. Let p = -1 + m. Let l = -505577.1 + 505577. Which is the closest to l? (a) -1/3 (b) p (c) -11 a Let t = -11338 + 11334. Which is the nearest to -4? (a) 9 (b) -2/7 (c) t (d) -1/3 c Let n = -48.4 + 48.818. Let y = n - -8.582. Let f be 28/156 + (-2)/6. Which is the nearest to 3? (a) -0.3 (b) f (c) y b Let t be (-500)/14 - 24/84. Let u be (-3)/t*9*1/3. Let y = 32 - 32.9. What is the nearest to u in -1, y, 2? y Let w = -5.7 + 6.7. Let u = -18 - -232/13. Let y be (1365/90 + -15)*2. Which is the nearest to w? (a) y (b) u (c) 0.1 a Let i = -1.07 + -26.93. Let m = i + -19. Let u = m + 47.4. Which is the nearest to -1? (a) u (b) 5 (c) 1/10 c Suppose -198*j - 19*j + 1090 + 646 = 0. What is the closest to -2 in -1, 0.5, j, -2? -2 Let n = 16102/5 + -3220. Let m be (15 - 19)*1/(-1). Which is the nearest to n? (a) -1/4 (b) m (c) 2/15 (d) -0.4 c Let a be 1*20/(4 - 2). Let v be (-2)/(a*1)*2. Suppose 30 = -5*i + 5*t, 55154*i - 55150*i + 4*t = -56. What is the nearest to i in v, 3, -1? -1 Let g = 0.129 - 64.129. Let r = 63.9 + g. Let t = 0.264 - 0.174. Which is the closest to t? (a) 1 (b) r (c) -1/3 b Let h be -22 + (-14)/42*45. Which is the closest to 1/5? (a) -2/13 (b) -0.06 (c) h b Let g(s) = -s**2 + 19*s - 66. Let t be g(6). Let w be 370/592*t/10. Which is the closest to 8/5? (a) 1 (b) -0.6 (c) w a Let w = 516/815 - 38/163. Which is the nearest to w? (a) -2/15 (b) 0 (c) -0.1 (d) 36 b Let u = -0.09 - 0.017. Let r = 0.547 - 0.584. Let s = u - r. What is the closest to s in -1, -0.4, 0.5? -0.4 Let o = -14474/55 + 43367/165. Let s = 405 + -3649/9. What is the closest to 0.1 in o, s, 0.1? 0.1 Let h = -0.05361 + 0.19361. Let o = 0.4 + -0.1. What is the closest to h in 6, 0.5, o? o Let z be (-1)/(-1)*4/(-16). Let j = 695 - 3464/5. Which is the closest to 0? (a) j (b) z (c) -4 b Suppose -2*r + 67*f = 62*f + 205, r + 3*f + 75 = 0. Let w be (-8)/r - 150/(-1125). Which is the closest to 0? (a) 2 (b) w (c) 0 c Suppose -3*i + 4*s - 20 = 0, 0 = 19*i - 5*s + 2 + 206. What is the closest to -2 in i, -4, -0.01, 2/3? -0.01 Let a = 16477 - 16477. What is the closest to 1/7 in a, 3/29, -4, 2? 3/29 Suppose -10*o - 20 = -5*o. Let l = 0.23 - 0.29. Let v = l + 0.46. Which is the nearest to -1/3? (a) o (b) -6 (c) v c Suppose -4*c + 23*c = 342. Suppose v - 3*z + c = 0, 2*z - 2 = -v - 0*z. What is the nearest to 1/2 in -3, v, -3/7? -3/7 Let d = 2/59 - -55/118. Let y = 1162.4 + -1164. Let u = 125 - 124. What is the closest to d in -0.2, y, u? u Let w(h) = -h**3 - 8*h**2 - 13*h - 3. Let p be w(-6). Suppose -u - p*y - 9 = 0, 1 + 1 = 2*u - 4*y. Let s = 0.8 + -1. What is the nearest to 1 in -0.5, u, s? s Suppose -12 = -2*q, 3*s + 3*q + 10 = 151. Which is the closest to 0? (a) -3 (b) -0.5 (c) s (d) -4 b Let n = -105672 + 105674. Suppose -2*r - 30 = r. Let s be 1/(r/(-16)) + -1. What is the nearest to n in s, -2, 5? s Let x = 0.0723 + -430.0723. Let l = -429 - x. What is the closest to 1 in 0.055, -1/7, l, 0? l Let d = 3/5279 + 62739/1071637. Let z = -346/1015 - d. Which is the closest to -0.7? (a) 2/7 (b) 2 (c) z c Let c = -50 - -48. Let f = 13.94 - 14.34. What is the nearest to c in 1/2, 1/3, f, 0.3? f Let f(m) = m**3 + m**2 + m - 1. Let o be f(1). Let t(w) = 541*w - 5419. Let g be t(10). Which is the closest to -1? (a) g (b) o (c) 0.06 c Let q(u) = 118*u + u**2 + 112*u - 219*u + 20. Let l be q(-8). What is the nearest to -17 in -1/3, 4, l, -5? -5 Let l = 0.05 - -0.25. Let z = -17 + 21. Let u = 2130 - 2129.5. What is the nearest to 1 in u, z, l? u Let y = 0.369 + 29.631. What is the nearest to 1 in y, 0.2, 5? 0.2 Suppose -9 = 122*k - 125*k. Which is the closest to 18.8? (a) 1/4 (b) k (c) -4 b Let q = -3.173 + 4.713. What is the nearest to 1 in -9/2, -1, q? q Let j = -7 - -6.9. Let s = 0.612 - -0.388. Which is the closest to 1? (a) s (b) -2 (c) j a Let q be 48/(-135) - -7*8/420. What is the closest to -0.01 in -2, q, 3? q Let y = 2133.03 - 2133. Which is the closest to y? (a) 6 (b) -0.4 (c) -4 (d) -5 b Suppose 12 - 7 = -2*n - 1. Which is the nearest to 2? (a) -12 (b) -6/7 (c) 5 (d) n b Let k be 326/1141*14/18. Which is the nearest to 323? (a) 5 (b) k (c) 0.1 (d) 6/5 a Let t = -503 - -531. Let g = -26 + 23. Let m = -13/15 - -6/5. What is the nearest to m in t, g, -0.4? -0.4 Let n = -2 + 2. Let s = 232/3 - 78. Let l = 14.39 + -14.69. What is the closest to s in l, -3, n? l Let h be 2/34 - 13400/(-4556). What is the nearest to -6 in -3/4, 0, h, -0.5? -3/4 Let c be (-2 + -24)*(-71)/2627. What is the closest to 1/4 in 0.2, -0.1, c? 0.2 Suppose 19*y - 22*y + 111 = 0. Suppose -7*p - 33 - y = 0. Let j be (4/p)/((-44)/55). What is the nearest to j in -19, -1/2, 0.3? 0.3 Let y = 1.061 + 0.099. Let m = 0.76 - y. Which is the closest to -1? (a) 3 (b) -0.2 (c) 7 (d) m d Let r = 510.1 + -510. Let s = -99 + 97. Let l = 2 + -3. What is the closest to s in 2/7, r, l? l Let o = 234.2 + -263. Let y = -29 - o. Let v = 1 + 0
{ "pile_set_name": "DM Mathematics" }
hat is 13 - 753722? -753707 In base 5, what is -10 - -3020001? 3014441 In base 2, what is -10100001100000000100 + -100001? -10100001100000100101 In base 2, what is -1000101001001010000 - -111111? -1000101001000010001 In base 14, what is 305 - 1372? -106b In base 11, what is -9696 + 3aa6? -56a0 In base 9, what is 3870420 + 147? 3870567 In base 12, what is -11937a034 - 2? -11937a036 In base 4, what is -11002 - 2200013121? -2200030123 In base 15, what is 4475e47 + 3? 4475e4a In base 13, what is -b - -1a8296b? 1a82960 In base 16, what is eaf + -40d1? -3222 In base 6, what is -343 + -2411310? -2412053 In base 10, what is 994 - -91272? 92266 In base 3, what is 1202101 - 100221212? -22012111 In base 16, what is 2b18d3 - -3? 2b18d6 In base 8, what is 1032 + -7270? -6236 In base 10, what is -828 + 74790? 73962 In base 4, what is 32122132 + 13112? 32201310 In base 7, what is -34663515 + 2? -34663513 In base 15, what is 1ca420 - 20? 1ca400 In base 2, what is -10100000000010001001010 - -1100? -10100000000010000111110 In base 7, what is 120213506 - -4? 120213513 In base 10, what is 0 + -11776573? -11776573 In base 5, what is 14432221 - -22? 14432243 In base 15, what is 3 - 386c9bc? -386c9b9 In base 11, what is 1 + 119930a96? 119930a97 In base 4, what is -1223 - 110010102? -110011331 In base 13, what is -7361bc5 + 0? -7361bc5 In base 16, what is -df93c48 - -5? -df93c43 In base 5, what is -23331 - -2022032? 1443201 In base 15, what is -123 + -9cb24? -9cc47 In base 12, what is 5 + 5149b729? 5149b732 In base 14, what is -2 - 1d52889b? -1d52889d In base 8, what is 2 - -1130113513? 1130113515 In base 14, what is -49a29546 - -5? -49a29541 In base 6, what is 3130451522 - 1? 3130451521 In base 10, what is -1396806 + -317? -1397123 In base 5, what is 21 - 24223313? -24223242 In base 15, what is 145 + -3e56? -3d11 In base 9, what is 66 + 1022537? 1022614 In base 9, what is -1186328 - 1? -1186330 In base 4, what is -2301110 + -332332? -3300102 In base 15, what is -a554 - 101? -a655 In base 13, what is 12 + acc016? acc028 In base 13, what is -a0262 + -21? -a0283 In base 4, what is -22012203 + -222? -22013031 In base 2, what is -10111000111111110100101100 - -1? -10111000111111110100101011 In base 4, what is 1 - -102112203231? 102112203232 In base 9, what is 3 + -76057173? -76057170 In base 12, what is 18 + -11471782? -11471766 In base 5, what is -200001433 + -34? -200002022 In base 5, what is -2 - 1032244242? -1032244244 In base 9, what is 2 + 14871651? 14871653 In base 6, what is -153023544 + 0? -153023544 In base 2, what is 11010100000110010 - 110100111? 11010011010001011 In base 5, what is 0 + -1122201120? -1122201120 In base 6, what is -514044255 - -1? -514044254 In base 5, what is 0 - 1040223443? -1040223443 In base 12, what is a2b + -67918? -66aa9 In base 12, what is -2 - 1937018? -193701a In base 2, what is -1000011000000 - -1011111? -1000001100001 In base 4, what is 100033301 - -202? 100100103 In base 14, what is 155 - -698a6? 69a1b In base 13, what is 5 - -1154061? 1154066 In base 9, what is 16705248 + 3? 16705252 In base 7, what is -1220560 + -145? -1221035 In base 3, what is -1001 - 120210112011102? -120210112012110 In base 13, what is -183c95453 + -2? -183c95455 In base 15, what is -171e3d + -5? -171e43 In base 13, what is -9cb5 + 6b62? -3153 In base 4, what is 311 - 1300133131? -1300132220 In base 13, what is -6 - -208203? 2081ca In base 11, what is -336003 + -69? -336071 In base 5, what is -1131 - -32034144? 32033013 In base 7, what is -43120 - -60432? 14312 In base 10, what is 0 + 13315645? 13315645 In base 8, what is -62462622 + -5? -62462627 In base 3, what is -100120221011220 + -221? -100120221012211 In base 11, what is -15 - 39689a72? -39689a87 In base 14, what is -8 + -b3bb? -b3c5 In base 11, what is -3 + 107698a? 1076987 In base 6, what is 122443 - 35032? 43411 In base 12, what is 0 - 96806095? -96806095 In base 2, what is -11100 - 11110001011110101011110? -11110001011110101111010 In base 15, what is -341050 + -4? -341054 In base 5, what is 14 + -31044432? -31044413 In base 15, what is -3 - -8a0a75? 8a0a72 In base 2, what is -11110010010 - -110111110010111111? 110111010100101101 In base 10, what is -117205 + -3523? -120728 In base 2, what is 1000101101 - -10110111101000? 11000000010101 In base 15, what is -14b4 - -48a5? 33e1 In base 5, what is -224244 - 22343? -302142 In base 13, what is 3 + 92bca94? 92bca97 In base 6, what is -110214052 + -3? -110214055 In base 3, what is -2111001120222220 + 11? -2111001120222202 In base 16, what is 25b0 + 18c? 273c In base 15, what is 54693d + 1? 54693e In base 8, what is -1163412 - 156? -1163570 In base 16, what is 123 + -300c? -2ee9 In base 6, what is 102352 - -1151? 103543 In base 5, what is -12213 - 40024111? -40041324 In base 10, what is -30 + -1196748? -1196778 In base 2, what is 10100011100011 + -101110110? 10011101101101 In base 13, what is -23 + -53461? -53484 In base 2, what is -11111001010010101111 + 1000000? -11111001010001101111 In base 8, what is 0 - 12215555? -12215555 In base 13, what is -37b - -19b698? 19b31a In base 6, what is 201333135 - -544? 201334123 In base 8, what is -2 - -21511314? 21511312 In base 10, what is -6182 + -3663? -9845 In base 7, what is -25043 - -6215? -15525 In base 10, what is 291574830 + 0? 291574830 In base 14, what is -3 + dcd80c? dcd809 In base 15, what is -2 - -121329? 121327 In base 3, what is -1001 + 210001110? 210000102 In base 16, what is -a4 + 480c8? 48024 In base 2, what is 10100010 + -10110001111101111001? -10110001111011010111 In base 16, what is -167 + -46a296? -46a3fd In base 9, what is 7276 + -3116? 4160 In base 11, what is -4a8a14608 - 2? -4a8a1460a In base 5, what is -23034000304 + 21? -23034000233 In base 12, what is 94b15 + 534? 95449 In base 10, what is -677 + 18855? 18178 In base 11, what is -47 - 82464? -82500 In base 4, what is 10112323213 - -21? 10112323300 In base 12, what is 129b6866 - 1? 129b6865 In base 6, what is 15532 - 32332? -12400 In base 8, what is -6353 - -46600? 40225 In base 2, what is -1000 - 1010111100100010011100? -1010111100100010100100 In base 4, what is -33302212012 + 20? -33302211332 In base 13, what is 3a2427b2 - 0? 3a2427b2 In base 11, what is -7686a4 - 1? -7686a5 In base 10, what is 53 + -1756234? -1756181 In base 16, what is 4e - 6959d? -6954f In base 16, what is -2a2c3 - -f7? -2a1cc In base 8, what is 552341 + -337? 552002 In base 5, what is -21341311 - -444? -21340312 In base 16, what is -12cf0f74 - -2? -12cf0f72 In base 12, what is -3806756 - -61? -38066b5 In base 4, what is -230 + -21232331233? -21232332123 In base 4, what is -1110 - -1131102113? 1131101003 In base 9, what is 101751 + -5766? 84874 In base 3, what is 2 + 11010102221210001? 11010102221210010 In base 12, what is 239782 - -6a0? 23a262 In base 9, what is 353507022 - 5? 353507016 In base 16, what is 27a + -cee5? -cc6b In base 16, what is -8a6 - 536? -ddc In base 12, what is -b061ba7 + 1? -b061ba6 In base 14, what is 13 + -8933b8? -8933a5 In base 11, what is 1 - -1375510? 1375511 In base 12, what is -35a1aa - -12? -35a198 In base 5, what is -403031411 - -2410? -403024001 In base 9, what is 54 - 15240438? -15240374 In base 8, what is 134771 + -315? 134454 In base 13, what is 4 - 4bc449c? -4bc4498 In base 2, what is -10011000111011001011 + 111111? -10011000111010001100 In base 13, what is 5 + -27c4071? -27c4069 In base 12, what is -1893 - -4403? 2730 In base 10, what is 1213544 + -8? 1213536 In base 6, what is 12 - 2554215411? -2554215355 In base 8, what is 362612 + -104? 362506 In base 8, what is -37256006 + -113? -37256121 In base 10, what is -5917 - 49603? -55520 In base 10, what is 14465 + -4484? 9981 In base 15, what is 212 + 95879? 95a8b In base 16, what is 7 - -dc0f? dc16 In base 5, what is -344222 + -1310? -401032 In base 5, what is -24221404 + -44211? -24321120 In base 12, what is -23 - 119a707? -119a72a In base 9, what is -5665 - 50? -5725 In base 15, what is -d1 + -d71e? -d800 In base 11, what is -3 + -58781412? -58781415 In base 14, what is 10 + c4cab6? c4cac6 In base 3, what is 2021 - -1011211112? 1011220210 In base 13, what is 5b - -12763? 127c1 In base 14, what is -42ca + 187a? -2850 In base 9, what is -883730 + -1031? -884761 In base 5, what is
{ "pile_set_name": "DM Mathematics" }
fy ((r**5/r*r**(1/4))**(2/71))**(-14) assuming r is positive. r**(-119/71) Simplify (c**16/(c**(-15)/c))/(c/c**(-2/17)*c**(10/13)*c) assuming c is positive. c**(6434/221) Simplify ((j**(2/3)*j*j)/j*j/j**(-17))/(j**2*j*j**(2/9)) assuming j is positive. j**(148/9) Simplify i**(-15/2)/i**30*(i/i**17*i)**(-29) assuming i is positive. i**(795/2) Simplify ((l/l**19*l*l)/(l/(l*l/(l/(l**(-2)*l*l*l)))))/(l/l**(1/4))**24 assuming l is positive. l**(-33) Simplify ((n*n**(-9)/n)/n**(17/3))/(n**(-3))**(7/3) assuming n is positive. n**(-23/3) Simplify (((q**(2/13)*q)/q**(2/9))/((q*q/(q/(q/(q**0/q))*q))/(q*q/(q/(q*q/q**(-1/2)*q)*q))))**(4/11) assuming q is positive. q**(1138/1287) Simplify (((f**1*f)**25)**(-12))**(-49) assuming f is positive. f**29400 Simplify (c**(-8)*c**4*(c*c**6)/(c/(c/c**(2/23))*c*c*c*c))**(-40) assuming c is positive. c**(1000/23) Simplify (l/(l**(-11)*l)*l*l**(-2)*l**3*l*l/((((l**(-4)*l)/l)/l)/l))**(-2/99) assuming l is positive. l**(-14/33) Simplify ((b**(-17)*b)/b)**(-39)/((b**(-14/3)*b*b*b)/b)**(-27/5) assuming b is positive. b**(3243/5) Simplify (g**(-5)/g**(-2)*(g/(g**(-3/2)/g))**4)**(-2/53) assuming g is positive. g**(-22/53) Simplify ((s**0)**(-2/73)*(s/(s**(-1/2)/s)*s)**(-36))**(2/61) assuming s is positive. s**(-252/61) Simplify (b/(b/((b/(b*(b*b**0)/b)*b)/b))*b)**31/(b**3)**(3/7) assuming b is positive. b**(208/7) Simplify n**(-2/9)/(n**(-13)*n)*n**(9/5)/(n/n**(-11)) assuming n is positive. n**(71/45) Simplify (((d/d**0)/d)**28*(d*d**(-1))**17)**(-9/5) assuming d is positive. 1 Simplify (h**11)**(-22)*h**27/h*h**(2/37) assuming h is positive. h**(-7990/37) Simplify (h**(-1/23)*h*h**13/h)/(h/(h/(h/h**(-2/5))))**(-24/7) assuming h is positive. h**(2042/115) Simplify (q**(-6))**17*(q*q/q**(-4/11))**10 assuming q is positive. q**(-862/11) Simplify (j/j**17*j**(-13))/(j**(-1)*(j*j*j/j**(-1/3))/j) assuming j is positive. j**(-91/3) Simplify (t**(-2/7)*t)**(3/10)*(t*t**0)/((t**(6/11)/t)/t) assuming t is positive. t**(411/154) Simplify (c/(c*c**(1/6)*c))**17*c**(5/7)*c**(-10) assuming c is positive. c**(-1223/42) Simplify ((n*n/n**(-6/5)*n)/(n**2*n))/(n**(-2)/(n/(n/(((n/((n*n**(-2/3))/n))/n*n)/n))*n)) assuming n is positive. n**(73/15) Simplify (x*x**7)/(x*x**17)*x*x/(x*x**7/x)*x/(x/x**(1/7)) assuming x is positive. x**(-104/7) Simplify u**13/(u/(u/(u**(-1/15)/u)))*u*((u**(-4/15)/u)/u)/u*u/u**(-2/7) assuming u is positive. u**(458/35) Simplify (((t**(-1)*t)**(-6))**49)**(-2/81) assuming t is positive. 1 Simplify (((q/q**(2/15))/(((q/((((q*q**(-2)*q*q)/q)/q*q)/q)*q)/q)/q))/(q*q*q**(-5)*q**(-3)))**(-33) assuming q is positive. q**(-968/5) Simplify (((p/((p**(-31)/p)/p))/p*p)/((p**29*p)/p*p))**23 assuming p is positive. p**92 Simplify (((i/(i**(-2)*i))/i)/i**(1/10))**44 assuming i is positive. i**(198/5) Simplify ((a**(1/3))**(-40)*a**(-8/5)/((a**(1/3)/a)/a*a))**(-1/17) assuming a is positive. a**(214/255) Simplify ((u*u/(u*u**7)*u*u**(-3/2))/(u**1)**37)**14 assuming u is positive. u**(-609) Simplify (((j**(2/9))**(2/29))**9)**(-10) assuming j is positive. j**(-40/29) Simplify ((q*q**(-2/7))**(-48)*(q**(-1)/q)**(-25))**(-12/5) assuming q is positive. q**(-264/7) Simplify (w**(-28)*w**(-1/15)*w*w)/((w/w**(-3/16))/w**(-33)) assuming w is positive. w**(-14461/240) Simplify (c**(-1))**23/(c**(-3/10)*c**(-1)) assuming c is positive. c**(-217/10) Simplify a**(1/15)*a*a*(a*(a*a**(-3)*a*a)/a)/a*a**(-2/7)/((a*a*a/a**(1/2)*a)/a) assuming a is positive. a**(-361/210) Simplify ((l/l**(-16))/l)**(-34/5)*((l**(-2/19)/l)/l*l*l)/l**(21/5) assuming l is positive. l**(-2149/19) Simplify (z**(3/5)/(z/((z/(z*z**4))/z))*(z**0)**(1/16))**(-27) assuming z is positive. z**(729/5) Simplify (q/(q**(-1/2)*q*q))**(42/5)/(q**(-2)*q)**36 assuming q is positive. q**(159/5) Simplify ((c/c**5*c*c*(c**(-5)*c)/c)**45)**(9/4) assuming c is positive. c**(-2835/4) Simplify ((m**(1/7)*m*(m**(1/2)*m)/m)/(((m/m**(-2/21)*m*m)/m*m)/m**(-2)))**(-3/14) assuming m is positive. m**(145/196) Simplify k**(-8)*k*k**9*(k*k**(-29)/k)/k*k/(k/k**(8/3)*k) assuming k is positive. k**(-79/3) Simplify ((c/c**(1/2))/c*c*c*c)**27*(c/(c*c**(-15)))**32 assuming c is positive. c**(1095/2) Simplify (a/((a/(a/(a*a/(a*a/(a/(a**0/a))*a))))/a))**(2/65)*((a*a*a**(-1)*a)/a)**(-6/13) assuming a is positive. a**(-28/65) Simplify (f*f/f**(-2/133)*f)/(((f*f/(f/((f*f**(5/2)*f)/f*f)))/f)/f*f)*f/f**(-1/4)*f**15/f assuming f is positive. f**(7323/532) Simplify ((l*l/((l*l/((l*l/l**(1/3)*l)/l))/l)*l*l)/l)**2/(l**(4/9)/(l*l*l/(((l/(l*l**(-1)*l))/l)/l)*l*l*l)) assuming l is positive. l**(134/9) Simplify (o**(1/2)*o)**(2/59)/((o/(o*o**26/o)*o)/(o/(o**(-1/8)/o))) assuming o is positive. o**(12355/472) Simplify ((x/((x*x/(x**(2/3)/x))/x))/(((x*x**(11/4))/x)/x*x))**(1/36) assuming x is positive. x**(-37/432) Simplify f**(1/4)*(f/f**5)/f*(f**5)**(2/67) assuming f is positive. f**(-1233/268) Simplify (p/p**(1/18))/p**(5/9)*((p/(p**(-1/3)*p))/p)**32 assuming p is positive. p**(-377/18) Simplify (i**(-1/29)/i)/(i/i**5*i)*(i/(i/(i/(i*i*i**(2/37)))))**(-19) assuming i is positive. i**(23598/1073) Simplify ((f*f/f**(2/5)*f)/(f*f/f**15))**(-27) assuming f is positive. f**(-2106/5) Simplify r*r*r**(-2/39)*r**(-15)*r/r**1*r**(-2/11)/r assuming r is positive. r**(-6106/429) Simplify (r/(r**(4/5)/r)*r*r**(2/23))/((r/(r*r**(-13)))/(r*r**(-1/2))) assuming r is positive. r**(-2349/230) Simplify w**(-30)/(w*w/(w*w**(2/17)))*w**(-19)/(w/(w**23*w)*w) assuming w is positive. w**(-474/17) Simplify (c**(-3/17)*c*c**(-7))**41 assuming c is positive. c**(-4305/17) Simplify (c**(-21)*c*c)/(c**21*c)*(c**11)**(-1/23) assuming c is positive. c**(-954/23) Simplify h**(2/13)*h**2*h**(-3/2)/((h*h**(3/13))/h*h) assuming h is positive. h**(-15/26) Simplify y**3/y*(((y*y**(-7/5)/y)/y*y*y)/y)/y*(y/(y**10/y))**(-5) assuming y is positive. y**(198/5) Simplify ((((y**(4/7)/y)/y)/y**(-17))**(2/7))**(5/12) assuming y is positive. y**(545/294) Simplify ((q*q/(q*q**(1/21)*q*q)*q)/q)/(q*q*q**13*q*q)*q**(3/32)*q*q/(q**(-14)*q) assuming q is positive. q**(-1985/672) Simplify ((w/(w/(w*w/(w*w**(-15))))*w*w)**(-1/31))**24 assuming w is positive. w**(-432/31) Simplify (w**10)**34/(w**(-11)*w*w/w**(-7)) assuming w is positive. w**342 Simplify d**(-19)/d**(-16)*(d/(d*d**(-19/5)*d))/((d/(d/(d/((d/(d/((d*d/(d*(d/d**(-2/67))/d)*d)/d)))/d*d)*d)*d*d))/d) assuming d is positive. d**(593/335) Simplify (h*h/((h*h**11*h)/h))/h**14*(h**8)**(2/159) assuming h is positive. h**(-3800/159) Simplify (c**(-2/9)*c*c*(c/c**(-7/3))/c)/(c**(5/6)*c*c*c**(-7/2)*c) assuming c is positive. c**(34/9) Simplify ((c*c**(5/7)*c)/(c/((c/(c**(-6/5)*c))/c*c)))**(-7) assuming c is positive. c**(-102/5) Simplify (m/(m*m*m**(-4)*m*m))**(-40)/(m**(-4/7)*m*((m/m**(-15))/m*m*m*m)/m) assuming m is positive. m**(-402/7) Simplify (z**(-1/4)/z)**(23/5)/(z/((z*(z*z*z/z**2*z)/z*z)/z*z))**(-36) assuming z is positive. z**(-311/4) Simplify (((x**(-1/4))**(-21))**(-9))**(-1/13) assuming x is positive. x**(189/52) Simplify (((a**(-2/7)*a)/a*a**(-4))/((a*a**0)/a)**(4/9))**(23/4) assuming a is positive. a**(-345/14) Simplify (p**(-1/5)*p**(-1)*((p*p**(-1/4))/p)**(-21))**48 assuming p is positive. p**(972/5) Simplify (p**4*p*p/((p/p**(2/33))/p))/(p**0)**(-17) assuming p is positive. p**(200/33) Simplify h/(h*h/(h/((h/(h*(h**(2/19)/h*h)/h*h*h*h)*h)/h)))*h**(1/3)*(h**(-2/3))**(1/9) assuming h is positive. h**(1213/513) Simplify w**15/(w*(w*(w/(w/w**(-2)))/w*w)/w*w*w)*w/(w*(w/w**(2/5)*w)/w)*w/w**29*w assuming w is positive. w**(-68/5) Simplify ((v/v**3*v*v*v)/(v**4/v))/((v*(v/(v*v**(-1/3)))/v*v*v)/v**(-4/9)) assuming v is positive. v**(-43/9) Simplify ((b**(1/12))**44)**(-24) assuming b is positive. b**(-88) Simplify ((d**13/(d*d**(-9)*d))/((d/(d**3*d))/d)**(-33))**19 assuming d is positive. d**(-2128) Simplify (p**16/p*p*p*(p/(p**5*p))/p)**38 assuming p is positive. p**418 Simplify b**(4/7)*b**14*(b/b**(-1/3))**44 assuming b is positive. b**(1538/21) Simplify (((j/j**(4/5))/j*j**(-1/3))/(j**1*j*j**(-2)))**(-7/2) assuming j is positive. j**(119/30) Simplify (o**12)**(2/13)*o**16*o**7 assuming o is positive. o**(323/13) Simplify z/((z/((z/z**4)/z))/z)*z*z**(-2/13)*(z**(6/25)/z*z)**(-3/10) assuming z is positive. z**(-3617/1625) Simplify d/d**(1/9)*d*d**(1/11)*(d*d**(-2/9)*d)**(7/3) assuming d is positive. d**(1820/2
{ "pile_set_name": "DM Mathematics" }
49. Let m = 154 + z. Put -5, -1/4, m in decreasing order. -1/4, m, -5 Let x(h) = -h + 10. Let t be x(7). Sort t, 5, -3, -4 in increasing order. -4, -3, t, 5 Let i be (15/10)/(1 + 3). Let d = 0.03 - -0.47. Put d, 0, i in increasing order. 0, i, d Let x = -146.6 + 127. Let y = -20 - x. Sort y, 0.4, -2 in decreasing order. 0.4, y, -2 Let b be 3 - 6 - (-2 - 0). Let d be 23/51 - b/(-3). Let m = 1 + -1.5. Put d, m, -4/3 in increasing order. -4/3, m, d Suppose 0*t - 25 = -5*b + 5*t, 4*b = t + 11. Suppose 0 = -r + 4*r. Put 5, b, r in decreasing order. 5, b, r Let t = -0.6 - -2.6. Let c = t - -1. Let j = -2 - -2.1. Put 0.4, j, c in descending order. c, 0.4, j Let z be 1 + 4 + (-6)/2. Let p = 8 - 3. Let n(c) = -c**3 - 5*c**2 - 3*c + 5. Let r be n(-3). Sort p, z, r. r, z, p Let v = 4 + -9. Suppose -2*c - 10 = -2*h - 4*c, -c = -3*h + 7. Suppose -8 = -4*i + 4*l, -2*i + h*i - 3*l = 0. Put v, i, 2 in decreasing order. i, 2, v Let k = -6 - -9. Let s be 5/15 + (-4)/(-12). Put k, -0.2, s in ascending order. -0.2, s, k Let x(j) = j**3 - 9*j**2 + 9*j - 7. Let r be x(8). Suppose -48 + 133 = -5*l. Sort l, 4, r in descending order. 4, r, l Let p = -1.3 - -0.3. Let l = 4.7 + 0.3. Let k = 1 - l. Sort k, p, -5 in descending order. p, k, -5 Suppose 0 = 3*x - 12, 3*f = 4*f + 5*x - 19. Sort -0.5, f, 0.05. f, -0.5, 0.05 Let p = -0.13 + 0.09. Let o = p - -4.04. Put 2, -2/11, o in ascending order. -2/11, 2, o Let g = -10 - -14. Let l be (2 - 8)*5/(15/2). Put 3, l, g in decreasing order. g, 3, l Let v = -14 + 12. Sort 3, -1, v. v, -1, 3 Suppose -3*o - 1 - 14 = 0. Let q = 6 - 5. Let a be 1/6*(q + -3). Put o, a, -4 in decreasing order. a, -4, o Let n = -11 + 7. Let x be (1 - 2) + -4 + 7. Sort n, 0, x in increasing order. n, 0, x Let p = 4 - 7. Let c(g) = g + 7. Let v be c(-7). Let r = v + 1. Sort -4, p, r in decreasing order. r, p, -4 Let m be ((-5)/2 - -2)*8. Let y = 5 - 1. Suppose 0*p + 5*p - 4*k = -2, 0 = p - 2*k + y. Sort m, 5, p in decreasing order. 5, p, m Let m be 6/8*2*2. Suppose -3*k + 4*r = -75, 75 = m*k + 2*r + r. Let a be 4/18 - k/(-9). Put 0, -3, a in increasing order. -3, 0, a Let k(d) = d**2 - 8*d + 5. Let n be k(9). Let y = -8 + n. Let t be (10/y)/((-1)/(-3)). Sort -5, 0, t in descending order. t, 0, -5 Let s(f) = 3*f + 59. Let m be s(-20). Sort -0.17, m, -4 in decreasing order. -0.17, m, -4 Suppose 4*d - 6*d = -8. Sort 0, 3, -1, d. -1, 0, 3, d Let i be 0 - -2 - (-2 - -10). Let n be 4/i + 80/102. Let b = n + 1/136. Put -0.2, b, -4 in descending order. b, -0.2, -4 Let n = 0 - 1. Sort 2/9, -0.5, n in ascending order. n, -0.5, 2/9 Suppose 40 = -v + 5*v. Let z = -6 + v. Sort 1, -1, z in descending order. z, 1, -1 Let f be 3/9 - (-8)/(-12). Put -4, 5/4, f, 2 in increasing order. -4, f, 5/4, 2 Suppose 0 = -4*s - s - 5. Let m(v) = v**3 - 7*v**2 + 5*v + 2. Let n be m(6). Sort 4, s, n in ascending order. n, s, 4 Suppose 5*k - 1 + 6 = 0. Let i be k/(-1) - (4 + 0). Sort 0, 1, i in decreasing order. 1, 0, i Let t(h) = 2*h + 12 + h - 2*h. Let o be t(-8). Let q(r) = -r. Let p be q(o). Sort -1, p, -2. p, -2, -1 Suppose -5*v + 65 = 3*j, -4*v + 20 = -3*v + 2*j. Let c be 3/v*-1*2. Let n = 2.1 + -2.4. Sort 0.1, n, c in descending order. 0.1, n, c Let t = 2 - 2.4. Let c = 0.5 + -4.5. Let i = c - -5. Sort -0.1, t, i in increasing order. t, -0.1, i Let s = -4 + 22. Let j = -8 + s. Sort 4, -1, j in descending order. j, 4, -1 Let f = -77 - -80. Sort 0.4, 11/5, f, -2 in decreasing order. f, 11/5, 0.4, -2 Let w(g) = -g**2 + 21*g + 5. Let i be w(21). Let b = 0 - 5. Put 4, i, b in ascending order. b, 4, i Let c be ((-4)/6)/((-12)/(-18)). Sort c, -16, 1 in descending order. 1, c, -16 Suppose -10 = -2*h - 0. Put -2, h, -6, -1 in increasing order. -6, -2, -1, h Let z = 4.5 - -0.5. Let l = -3 - -3.5. Put -1/2, l, z in decreasing order. z, l, -1/2 Let k = -14 + 40/3. Sort -3/5, k, -1/5 in ascending order. k, -3/5, -1/5 Let t = 19 + -6. Let a = t - 8. Sort a, 4, -1 in descending order. a, 4, -1 Let c be (-6 - -4)*2 - 1. Suppose 2*x + 3 = 5. Sort -1, x, c. c, -1, x Let t = 13 - 7. Let i be -1*2/t + 2. Let l = 13/6 - i. Sort 0, l, 0.4. 0, 0.4, l Let x be 45/21 - (-2)/(-14). Let m(d) = d**3 - 5*d**2 - 6*d - 2. Let u be m(6). Put x, -1, u in ascending order. u, -1, x Suppose -2*t = 3*y - 2*y + 3, 5*y = -5*t + 10. Put 3, y, -3/2 in decreasing order. y, 3, -3/2 Let r = -15 + 10. Put 5, 2, r in decreasing order. 5, 2, r Let q be 2/(-10)*(-2 + 0 - -1). Sort -0.3, q, -6 in increasing order. -6, -0.3, q Suppose 16 = -1363*k + 1355*k. Let h = 2 + -1. Suppose 0 = -5*z + 15, -4*a - 2*z = -0*z + 6. Sort k, a, h in descending order. h, k, a Let y(j) = -j**3 + 10*j**2 + 11*j + 2. Let t be y(11). Suppose -t*r - 12 = r. Suppose -5*k - 25 = -4*c - c, -5*k - 17 = -c. Put -2, k, r in ascending order. r, k, -2 Suppose 60*m + 2 = 58*m. Put 1, -3, m in descending order. 1, m, -3 Let i(v) be the third derivative of 0 - 2*v**2 + 0*v + 2/3*v**3 + 1/24*v**4. Let w be i(-4). Sort 4, w, -4 in decreasing order. 4, w, -4 Let k = -0.9 - -1.6. Let h = k - -0.1. Let b = -1.8 + h. Sort b, 4, -1/7 in ascending order. b, -1/7, 4 Let g be (-6)/8 - 11/(-4). Suppose -4*o - 16 = -2*d, 5*o + 0*o + 20 = -g*d. Let q(i) = -i - 10. Let x be q(-8). Sort 1, d, x in descending order. 1, d, x Suppose -2 = 3*p - 4*p. Let g be 1 - (0 - -8)/(-2). Put -5, g, p in increasing order. -5, p, g Suppose h + 19 = 5*i, 3*h + 5*i + 1 - 4 = 0. Suppose -3*n + 2*w + 0*w + 1 = 0, 11 = 5*n - w. Sort h, -3, n in decreasing order. n, -3, h Let t(r) = r**3 - r**2 - 4*r - 3. Let h be t(-2). Let g = h - -11. Suppose -6 = 4*n + 3*i, 3*n + 0 + 1 = -g*i. Sort 5, 3, n in increasing order. n, 3, 5 Let c be 4/(-10) + (-396)/10. Let x be 236/5*15/18. Let i = c + x. Put -4, 3/2, i in decreasing order. 3/2, i, -4 Let s = 2 + 2. Let w be -3*5/(-30)*-2. Let u = 1 + -1. Sort w, u, s in increasing order. w, u, s Let x(c) = c**2 + 5*c - 7. Let b be x(-7). Suppose -2*d + b*d = 0. Suppose 5*z - 33 = -2*a, -5*z = -3*a - a - 9. Sort -4, z, d in decreasing order. z, d, -4 Suppose -5*q - 6 = -2*q. Sort -7, q, 4, -4. -7, -4, q, 4 Suppose 0 = -3*a + 1 + 8. Suppose -13 = -a*k + 5. Let x be (-13)/(-5) - k/(-15). Sort 0, -5, x in descending order. x, 0, -5 Let l = 248/3 + -82. Let x = 6 - 6. Suppose 3*k + 2*w + x = 2, -4*w + 16 = 0. Put l, k, 1 in decreasing order. 1, l, k Let y(p) = p + 2. Let n be y(-3). Put -4, 13, n in increasing order. -4, n, 13 Let n(o) be the first derivative of o**3/3 + 5*o**2/2 + 4*o + 7. Suppose -4*q - 21 + 5 = 0. Let y be n(q). Sort y, -4, 3 in increasing order. -4, y, 3 Let n = -10 - -5. Put n, 3, -2 in ascending order. n, -2, 3 Let y = -143 - -145. Suppose -3*v - 2*v + 15 = 0. Let u(t) = t**3 + 5*t**2 - 5*t + 3. Let m be u(-6). Put m, v, y in descending order. v, y, m Let f = 4.04 - 3.7. Let s = f + -0.24. Suppose -3*d = -2*d - 1. Sort d, s, 6 in decreasing order. 6, d, s Suppose -3*y + d + d - 22 = 0, 0 = -5*d - 5. Let g(x) = -x**3 - 7*x**2 + 8*x. Let l be g(y). Put l, -3, 5 in decreasing order. 5, l, -3 Let w = 1.3 + -1.1. Let v be (6/(-2))/((-3)/2). Sort v, w, 0 in descending order. v, w, 0 Suppose 4*z - 2 = 6. Suppose z*j - 14 = 3*j + 3*h, 10 = 3*j - 4*h. Sort j, 0, 5. j, 0, 5 Suppose 4*l + 3*a + 0*a + 10 = 0, 6 = 3*a. Suppose 0 = 5*v + 5*d - 10, v - 2 + 6 = -4*d. Let g = l + v. Put -4, g, 2 in descending order. 2, g, -4 Suppose -4*t + 3*t = -5. Let a = 8 - t. Let f(o) = o + 10. Let d be f(-9). Put -2, a, d in decreasing order. a, d, -2 Suppose 16*b - 35 = 9*b. Let c be ((-2)/6)/(-1)*15. Suppose 4 - 9 = -c*y. Put b, y, -4 in descending order. b, y, -4 Let g be ((-10)/(-8))/((-3)/4). Let q be (-2)/10*5/(-2). Put g, q, 0.4 in increasing order. g, 0.4, q Let c = -68 + 98. Let o be (c/4)/((-9)/(-12)). Suppose 2 = 4*q + o. Sort q, -1/8, -3/2 in decreasing order. -1/8, -3/2, q Let c = -0.2 + 0.2. Let u = c - -1. Sort 3, 2/13, u in descending order. 3, u, 2/13 Let w = 0.3 - 0.5. Let l = 7 - 6.64. Let z = -0.04 - l. Sort w, z, 3 in descending order. 3, w, z Let j = 55 - 50. Sort j, 0.3, -4, 0 in increasing order. -4, 0, 0.3, j Let k = -81 - -82. Sort -0.2, -3/4, -3, k in decreasing order. k, -0.2, -3/4, -3 Suppose -15 = 5*x - 0*x. Sort -1, x, 4. x, -1, 4 Let f(k) = k**3 - 5*k**2 - 6*k + 5. Let d be (24/9)/1*-3. Let n = d + 14. Let z be f(n). Sort -5, z, -1 in de
{ "pile_set_name": "DM Mathematics" }
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False Is 1541913089 a composite number? False Is 529117181 composite? True Is 7964615 composite? True Is 59458715278 a prime number? False Is 15874399 a prime number? False Is 6211538587 composite? False Is 73490233717 a prime number? False Is 42237964709 prime? True Is 750740629 a composite number? True Is 95482458767 a prime number? False Is 238210001 prime? False Is 106448415037 prime? True Is 4652016689 a prime number? True Is 8853325069 composite? False Is 606703271 a prime number? True Is 4428442471 a prime number? False Is 431132887 composite? False Is 420362963 prime? True Is 165863458823 a prime number? True Is 3884210851 a prime number? True Is 37635625057 composite? False Is 11797660261 composite? False Is 2988113 prime? False Is 1078118627 composite? False Is 37816584463 a composite number? True Is 14772554881 a composite number? True Is 1885265929 a prime number? True Is 2501685973 prime? True Is 2001990667 composite? False Is 14975766907 prime? 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True Is 307813267 a composite number? False Is 109132029917 prime? False Is 999511213 a prime number? False Is 1953879539 prime? True Is 3887147077 composite? True Is 311544502879 a composite number? False Is 25753761689 a prime number? False Is 76288237 a prime number? True Is 37787481331 a composite number? False Is 779208019 composite? True Is 2836961485 a prime number? False Is 17317654771 composite? False Is 325765939 a composite number? False Is 1833171907 a prime number? False Is 49627898783 prime? False Is 1295080403 a composite number? True Is 5268248365 a prime number? False Is 19103180459 a prime number? False Is 482725811 prime? False Is 42049728893 a composite number? False Is 102571411 a prime number? False Is 2410834081 composite? True Is 516844487 a composite number? False Is 238525673 a composite number? True Is 56903884255 a prime number? False Is 8457696341 prime? True Is 175650869 composite? True Is 2708008369 a composite number? True Is 98126207317 prime? False Is 10218169483 composite? True Is 79338122803 a prime number? False Is 6255108179 a composite number? False Is 9588199519 a prime number? True Is 45505564057 composite? True Is 305915977 prime? False Is 78698167 a prime number? True Is 24709930303 prime? True Is 151330607 a composite number? True Is 3915849673 a composite number? False Is 177511729 a composite number? False Is 500831671 prime? False Is 2376134263 a composite number? False Is 165908141881 a composite number? False Is 9197688673 prime? False Is 72640988491 a composite number? True Is 19981434481 composite? False Is 3274735897 composite? False Is 28950074 a composite number? True Is 2365410473 a prime number? True Is 229021124965 a prime number? False Is 51214991 a prime number? True Is 18448022785 a prime number? False Is 22646546257 a prime number? True Is 965332123 a composite number? True Is 3252949057 a prime number? True Is 1034888659 prime? False Is 193643699 a composite number? False Is 67884504685 a prime number? False Is 19871527691 composite? True Is 3666670373 composite? True Is 1849780607 composite? False Is 67451003341 prime? False Is 4518224783 a composite number? True Is 17914759741 a composite number? True Is 6506105701 composite? False Is 1321444837 a prime number? True Is 1315517699 a prime number? True Is 4529364821
{ "pile_set_name": "DM Mathematics" }
, 273 Put -4, 981, -3, 205, 3 in descending order. 981, 205, 3, -3, -4 Put 2, 43, 13, 1, -11 in ascending order. -11, 1, 2, 13, 43 Sort 719, 2, -5, 9 in descending order. 719, 9, 2, -5 Put -0.2, 4739, 0.4, 2, 1, -1 in decreasing order. 4739, 2, 1, 0.4, -0.2, -1 Sort 68, 59, 2 in increasing order. 2, 59, 68 Sort -4, -60/17, 4, 0.4, 3, 14 in ascending order. -4, -60/17, 0.4, 3, 4, 14 Sort 5, 67, 417, 0.1 in increasing order. 0.1, 5, 67, 417 Put -1, -3, -5102906 in decreasing order. -1, -3, -5102906 Put 4, -413, -7/382 in increasing order. -413, -7/382, 4 Sort -3, -2, -20, 29, 1 in descending order. 29, 1, -2, -3, -20 Sort -1/4, 4, 182, -2/9, -2. -2, -1/4, -2/9, 4, 182 Sort -2, 4, -6, -2854, 3. -2854, -6, -2, 3, 4 Sort 2, -77, -9, 10 in increasing order. -77, -9, 2, 10 Sort -0.1, 0.5, -1, 31, 6, -0.16 in decreasing order. 31, 6, 0.5, -0.1, -0.16, -1 Sort -65, -26, 5, 2, 1 in ascending order. -65, -26, 1, 2, 5 Sort 0.2, -286, 2/7, -1/12, 0.4, 18 in decreasing order. 18, 0.4, 2/7, 0.2, -1/12, -286 Sort -5, 0.13, -51.39 in ascending order. -51.39, -5, 0.13 Put 8, 4, -30, 1, 25, 5 in descending order. 25, 8, 5, 4, 1, -30 Put 139, 73, -4 in ascending order. -4, 73, 139 Put 6, -3/10, -4, -1/4, 3 in increasing order. -4, -3/10, -1/4, 3, 6 Sort 5, 49, -6, -1, -20 in descending order. 49, 5, -1, -6, -20 Put -1506, 2/3, 3/5, 3, -0.03, 0.1 in decreasing order. 3, 2/3, 3/5, 0.1, -0.03, -1506 Sort 0.047, -1/3, 267, -0.3 in increasing order. -1/3, -0.3, 0.047, 267 Sort -7, -5, 11, 8, -6, 4 in descending order. 11, 8, 4, -5, -6, -7 Sort -5, -229, -6. -229, -6, -5 Put 4/25, -2/13, 6/13, 5 in increasing order. -2/13, 4/25, 6/13, 5 Sort -82, -35, -4/7, 5. -82, -35, -4/7, 5 Put -0.087, 4, -13, 0.066 in descending order. 4, 0.066, -0.087, -13 Sort -5, 4, 2945 in descending order. 2945, 4, -5 Sort -1/2, -66, 1/3, -0.3, -5 in descending order. 1/3, -0.3, -1/2, -5, -66 Put -5, -1, -3, 5, 20 in descending order. 20, 5, -1, -3, -5 Sort -2, 3, -3, 1, 755 in decreasing order. 755, 3, 1, -2, -3 Sort -2036, 1, 4, -5, -7, -1 in decreasing order. 4, 1, -1, -5, -7, -2036 Sort -2/7, -0.1, -62965, 3/2. -62965, -2/7, -0.1, 3/2 Put -225, 1/4, -3/8 in decreasing order. 1/4, -3/8, -225 Sort -4, 1, 170, 2 in decreasing order. 170, 2, 1, -4 Sort -0.1, 9, 3/2, -30, 6 in increasing order. -30, -0.1, 3/2, 6, 9 Put 44, 0.5, 93, -8, 1 in increasing order. -8, 0.5, 1, 44, 93 Sort -42, 4, 8, -3, -5 in increasing order. -42, -5, -3, 4, 8 Put 40, 4, -58, -1 in ascending order. -58, -1, 4, 40 Put 26/5, 2, 0, 2/13 in descending order. 26/5, 2, 2/13, 0 Sort 7, 1, 5, 4389 in ascending order. 1, 5, 7, 4389 Sort -576, -1/5, 29, -2. -576, -2, -1/5, 29 Sort 3, 82, 2, -3, 239. -3, 2, 3, 82, 239 Sort 2, 0.2, 0.1, -1/10, -0.2, 161 in decreasing order. 161, 2, 0.2, 0.1, -1/10, -0.2 Put -7, -5, -1, 17 in descending order. 17, -1, -5, -7 Sort 21, 116, -0.25 in decreasing order. 116, 21, -0.25 Sort 1, -5, 3, -46, -3 in increasing order. -46, -5, -3, 1, 3 Sort -8/3, -1.1, -3, 7, 0 in ascending order. -3, -8/3, -1.1, 0, 7 Put -0.039, 1, -1/21, -0.4, -1 in descending order. 1, -0.039, -1/21, -0.4, -1 Sort -3/4, 1349, 2/9, 0.4, 4. -3/4, 2/9, 0.4, 4, 1349 Put 3, -1056, -1085 in increasing order. -1085, -1056, 3 Sort 2, 3, 8167. 2, 3, 8167 Sort -180/7, 2/331, -2 in increasing order. -180/7, -2, 2/331 Sort 4, 239, 3, 14, 8. 3, 4, 8, 14, 239 Sort -3331, 3, -1, -5, -49 in decreasing order. 3, -1, -5, -49, -3331 Sort -1/12, 4, 1/125, -0.02, 5 in decreasing order. 5, 4, 1/125, -0.02, -1/12 Put -0.013, -22, 5, -1, -3, -2 in ascending order. -22, -3, -2, -1, -0.013, 5 Sort 13, 4, 1/6, 4/9, 1, 10 in decreasing order. 13, 10, 4, 1, 4/9, 1/6 Sort 4, -4/5, -2/5, -5.8, -792/7 in increasing order. -792/7, -5.8, -4/5, -2/5, 4 Sort -738, 0, -2, -12, -4. -738, -12, -4, -2, 0 Sort -0.2, 5, -5, 1/5, -0.3 in increasing order. -5, -0.3, -0.2, 1/5, 5 Sort 551, 1, -3, -5. -5, -3, 1, 551 Sort -1, -5, -0.5, 3/2, -737 in descending order. 3/2, -0.5, -1, -5, -737 Put 2425, -2, -4, -3 in descending order. 2425, -2, -3, -4 Put 5, 968, -4 in ascending order. -4, 5, 968 Sort 247, -9, 0. -9, 0, 247 Sort 251, 5, -536, -2. -536, -2, 5, 251 Sort 1, 1/2, 3/7, -9.255, -5. -9.255, -5, 3/7, 1/2, 1 Put -79, -12, -2, 4, -5, -6 in decreasing order. 4, -2, -5, -6, -12, -79 Sort 1/34, -0.0241, 4/7, 0, -0.5 in ascending order. -0.5, -0.0241, 0, 1/34, 4/7 Put 574, -10, 9 in decreasing order. 574, 9, -10 Put 2, 3, 1753, -3, -1 in descending order. 1753, 3, 2, -1, -3 Put 101, -4, -3/5, 0, 6 in ascending order. -4, -3/5, 0, 6, 101 Put 0.11, -2, 0.3, 64 in descending order. 64, 0.3, 0.11, -2 Sort 10/7, 106, 2/5, 0.1, -5 in decreasing order. 106, 10/7, 2/5, 0.1, -5 Sort -3, 1, 7194, -2, 0 in descending order. 7194, 1, 0, -2, -3 Sort 4, -5, 2, 0, 238, 3 in ascending order. -5, 0, 2, 3, 4, 238 Sort -0.2, -1, -0.5, -2.84, 7 in descending order. 7, -0.2, -0.5, -1, -2.84 Sort 2, -74865, -4 in decreasing order. 2, -4, -74865 Sort -1347, 3, 59. -1347, 3, 59 Sort 2, -20, 6, 4, -91 in ascending order. -91, -20, 2, 4, 6 Sort 1/2, -304398, 5 in descending order. 5, 1/2, -304398 Put 27, -117, 8 in decreasing order. 27, 8, -117 Put -39, 6, 5, -53, -2 in decreasing order. 6, 5, -2, -39, -53 Put -4/2141, -9/5, 6 in descending order. 6, -4/2141, -9/5 Sort -176, 0, 16, 5, -3. -176, -3, 0, 5, 16 Put -53, -506, -2, 12 in decreasing order. 12, -2, -53, -506 Sort 437, 4, 5, 1, 3, -4 in ascending order. -4, 1, 3, 4, 5, 437 Sort 3, 6, -56, 32 in descending order. 32, 6, 3, -56 Sort -6, -2/3, 285, -4/5 in ascending order. -6, -4/5, -2/3, 285 Sort -47, -2, 0.1, 0.948. -47, -2, 0.1, 0.948 Put -2, -131, -5, -7, 1, -1 in descending order. 1, -1, -2, -5, -7, -131 Sort -23, 67, -17. -23, -17, 67 Sort 1/6, -0.085, -9/4, -1, 3 in ascending order. -9/4, -1, -0.085, 1/6, 3 Sort 0, 4, -136, -2, -10. -136, -10, -2, 0, 4 Sort 126, -13, -2. -13, -2, 126 Put -4, 3, -73924 in increasing order. -73924, -4, 3 Sort -0.3, 5, -629, -1, 0, -39/7 in increasing order. -629, -39/7, -1, -0.3, 0, 5 Sort 1, 4, 382/5, 1/3, 0. 0, 1/3, 1, 4, 382/5 Sort -1.3, 40/9, 41. -1.3, 40/9, 41 Sort 0.1, -6/61, 3, -1/4, -0.001. -1/4, -6/61, -0.001, 0.1, 3 Put -3, 3, -10, -4, -7 in ascending order. -10, -7, -4, -3, 3 Sort 6.2, -2110/7, 1. -2110/7, 1, 6.2 Sort -3/2, -3, 0, 2/7, 1/740, 2/9 in descending order. 2/7, 2/9, 1/740, 0, -3/2, -3 Put -2, 1307, 2, 1 in ascending order. -2, 1, 2, 1307 Put 19, 80, -144 in descending order. 80, 19, -144 Sort 4, -0.04, 190. -0.04, 4, 190 Sort 23704, 0.3, -0.4 in descending order. 23704, 0.3, -0.4 Sort -11, 0.25, 0.3, -2. -11, -2, 0.25, 0.3 Sort -19, 5, 2, -4, -63, -1. -63, -19, -4, -1, 2, 5 Sort -3/7, 3/7, -0.5, 2/5, 3. -0.5, -3/7, 2/5, 3/7, 3 Sort -62, 185, -3 in decreasing order. 185, -3, -62 Sort -4, 3, -5/4, 4/5, -10, -1 in decreasing order. 3, 4/5, -1, -5/4, -4, -10 Sort -1174, -4, -19, 0, 1. -1174, -19, -4, 0, 1 Put 29710, -2, 3 in descending order. 29710, 3, -2 Put -7, 0.3, 106, 3/4, 3/5 in decreasing order. 106, 3/4, 3/5, 0.3, -7 Put -1/3, 0.1, -1/4, 2/3, 12.7 in ascending order. -1/3, -1/4, 0.1, 2/3, 12.7 Sort -0.16, -26174, -3/5 in increasing order. -26174, -3/5, -0.16 Put 2/9, 81, 2/7, 3, 3/16, -6/11 in decreasing order. 81, 3, 2/7, 2/9, 3/16, -6/11 Put 0, -66, 5, -4, 7 in increasing order. -66, -4, 0, 5, 7 Sort 906, 4, -71, -0.5, 2/3 in decreasing order. 906, 4, 2/3, -0.5, -71 Sort -2/11, 1, -9, 18, 0.051 in decreasing order. 18, 1, 0.051, -2/11, -9 Sort 78, 0.8, -2/39, 0, 5 in descending order. 78, 5, 0.8, 0, -2/39 Put 24, -126, -4 in decreasing order. 24, -4, -126 Sort 1, -17, -5, 4, 9, -2 in decreasing order. 9, 4, 1, -2, -5, -17 Sort -848, -5, 9, 1, -3 in descending order. 9, 1, -3, -5, -848 Put 9, -1, -3, 7, 111 in descending order. 111, 9, 7, -1, -3 Sort -2, 0, 70, 659 in descending order. 659, 70, 0, -2 Put 2595, 0, 1/9 in descending order. 2595, 1/9, 0 Sort 21, 3, -3, -12 in ascending order. -12, -3, 3, 21 Sort 4, 3, -3, -2964 in descending order. 4, 3, -3, -2964 Sort 1/5, -5, 5, -0.2, -1/18, -1 in descending order. 5, 1/5, -1/18, -0.2, -1, -5 Sort -1/2, -46, 0.5, 3/7, 5 in descending order. 5, 0.5, 3/7, -1/2, -46 Put 3, -3959, 5, -3, -5, -9 in descending order. 5, 3, -3, -5, -9, -3959 Sort 1769, -34, 2 in decreasing order. 1769, 2, -34 Sort -2142, 4, -4, 1, 5 in decreas
{ "pile_set_name": "DM Mathematics" }
llest value? (a) -5 (b) -1/2 (c) 2/17 (d) 0.4 (e) -4 (f) 575 e Which is the biggest value? (a) 3 (b) -4/3 (c) 1/3 (d) -5.2 a What is the smallest value in 9/4, 1/3, 0.08, -0.1, -4? -4 Which is the second biggest value? (a) 1/12 (b) 0.4 (c) 3 (d) 0.09182 b What is the fourth biggest value in 2/3, -215, 1, 0, -0.1? -0.1 What is the fifth biggest value in -2, 4, -15, -0.05, 4/5? -15 Which is the fourth smallest value? (a) 0 (b) -19/75 (c) 2/9 (d) -11 (e) -0.3 a Which is the third biggest value? (a) 1/4759 (b) 2.9 (c) -4 c What is the third biggest value in 4/9, 114, -0.5, -100? -0.5 What is the biggest value in -112, 18, 2/5, -16? 18 Which is the fourth smallest value? (a) 2/3 (b) -5 (c) 7 (d) -82 (e) -2 a Which is the third biggest value? (a) -2/5 (b) 1.056 (c) 0.4 a What is the fourth smallest value in 2549, -5, -0.1, 0? 2549 What is the second biggest value in -4/15, 12/7, 808? 12/7 Which is the biggest value? (a) -5555 (b) -0.13 (c) 5 c What is the biggest value in 0, 240.9, -0.49? 240.9 What is the second smallest value in -4/5, -8, -0.1, 2, -68? -8 Which is the second biggest value? (a) 2 (b) -78352 (c) 5 a What is the fourth smallest value in -0.1, -3, 10, 3/74, -9/5? 3/74 Which is the third smallest value? (a) 0.11 (b) -5 (c) -15 (d) 1/4 (e) 3 (f) -12 b Which is the biggest value? (a) 1264 (b) -1/2 (c) 2/5 (d) 0.5 a What is the biggest value in 68/3, 0.0876, -4, 0.2? 68/3 Which is the third biggest value? (a) -0.5 (b) 253.9 (c) -10 (d) 1 a Which is the fourth smallest value? (a) 3 (b) -5 (c) 92 (d) 51 c Which is the second smallest value? (a) -58 (b) -2/13 (c) -5 (d) -13 (e) -4 d What is the biggest value in -1/9, -33/5, 219/4? 219/4 What is the second smallest value in -2/59, 7, 4, 6? 4 Which is the smallest value? (a) -5 (b) 16726 (c) 5 (d) -4 (e) 0.1 a What is the third smallest value in 0.2, 3/5, 0.31, 93? 3/5 What is the third biggest value in -18, 10, 1/3? -18 What is the biggest value in 1/4, -1/44, 2, 21, -0.7? 21 What is the fifth smallest value in 4, -0.3, 120, -5, -267/5? 120 Which is the second smallest value? (a) -6/5 (b) 1 (c) 343.7 b Which is the smallest value? (a) 3 (b) -0.4 (c) -2 (d) 2783.6 c Which is the fifth biggest value? (a) 47 (b) 14 (c) 5 (d) -1/3 (e) -2/21 d What is the third smallest value in -0.12, 1/11, -1868? 1/11 Which is the second smallest value? (a) 110 (b) 51 (c) -0.2 b Which is the smallest value? (a) 2/9 (b) 1.004 (c) 6 a What is the sixth smallest value in 6, -0.1, 0.4, -3, -3.1, 2/75? 6 What is the fifth biggest value in -0.1, 4/3, -1.2, -5, -1/38? -5 What is the biggest value in 3/10, 1, 146/9? 146/9 What is the second smallest value in -1323, 1, 88? 1 What is the third biggest value in 1, -1/2, -2/5, 4, -21/4, 0.04? 0.04 What is the fifth biggest value in -50, 1/4, -0.04, -2/15, 2, -1? -1 Which is the second biggest value? (a) -16338 (b) -66 (c) -1 b Which is the second smallest value? (a) 176 (b) 0.4 (c) 18/19 c Which is the second biggest value? (a) 2/5 (b) 0.1 (c) 105.5 (d) 26 (e) -0.3 d What is the second smallest value in -0.295, 3, -3086? -0.295 What is the smallest value in 2, 1, -808? -808 Which is the third smallest value? (a) 40 (b) -5 (c) 0.7 (d) -3/4 (e) 4 c What is the smallest value in 55, 4, 1.3, 0.4? 0.4 Which is the second biggest value? (a) 10.2 (b) 2 (c) 5 (d) 0.2 (e) 86 a Which is the second biggest value? (a) -6 (b) -32 (c) 0 (d) 0.002 c Which is the second smallest value? (a) 3 (b) -7/19 (c) 2/9 (d) 5/3 (e) -4/3 (f) 0.3 b What is the biggest value in 0.1, 59871, 0? 59871 Which is the fifth smallest value? (a) 1/2 (b) -2/11 (c) 0.4 (d) 2 (e) 4 e Which is the fourth smallest value? (a) -4 (b) 0.02 (c) -1 (d) 0.22 (e) -2/15 b Which is the sixth biggest value? (a) -66 (b) -1/5 (c) 1 (d) -2 (e) 3 (f) -3 a What is the smallest value in -0.1, 22.2, 2/3, -3/11, 0.5, -0.5? -0.5 What is the fifth biggest value in 46, -0.5, -1, -0.06, -41? -41 What is the fourth biggest value in -0.049, -0.3, -0.02, 0.4? -0.3 What is the third smallest value in 15/2, -0.178, 2/7? 15/2 Which is the fourth smallest value? (a) -0.98 (b) -2/7 (c) 333 (d) -3 (e) -12 (f) 0.2 b Which is the fourth biggest value? (a) 22/21 (b) 1/2 (c) 0.2 (d) -0.323 d Which is the biggest value? (a) 15 (b) -45.5 (c) 11 a What is the third biggest value in 1, -0.1, 0.3, -3771/4? -0.1 Which is the fifth biggest value? (a) -0.9 (b) -0.05 (c) -5/3 (d) 36 (e) 0.4 c Which is the fourth biggest value? (a) -5 (b) 1/8 (c) -1/6 (d) -0.1 (e) 82 c What is the fifth biggest value in -3, -0.2, 0.02, 10, -4/5? -3 Which is the fifth smallest value? (a) -4 (b) 0.1 (c) -1 (d) 69 (e) 4 (f) 39 f Which is the smallest value? (a) 3 (b) 1/4 (c) 26 (d) 5 (e) 4/3 (f) 61 b Which is the fourth smallest value? (a) 22 (b) 4/5 (c) 0.3 (d) 12998 d What is the sixth smallest value in 3, -3, 0.5, 162, 2, 7? 162 Which is the biggest value? (a) 47 (b) -3/320 (c) 1/3 (d) 5 (e) -0.2 (f) 3/4 a Which is the second biggest value? (a) -5 (b) 2/493 (c) 17 b Which is the biggest value? (a) -2 (b) -4.692 (c) -5/9 c Which is the biggest value? (a) -50 (b) -0.4 (c) -7/4 (d) 6/5 (e) 2/5 d What is the second smallest value in 351, -1/5, 5, -0.03, 0.028? -0.03 Which is the third smallest value? (a) -23 (b) 0.3 (c) -0.4 (d) 2 (e) 2.89 (f) 2/5 b What is the third biggest value in 2.4, -2/5, 15717? -2/5 What is the third smallest value in 8, 0.1, -13, 16, 3? 3 Which is the biggest value? (a) 1 (b) 638 (c) -3 b Which is the fourth biggest value? (a) -2 (b) -7/8 (c) -0.484 (d) -0.1 a What is the third biggest value in -1/1775, 3/4, -1, -3/2, -2? -1 Which is the biggest value? (a) 6 (b) -0.07351 (c) 0.3 a Which is the third biggest value? (a) -26/9 (b) -1 (c) 142 a What is the second biggest value in -5, 3, -4, 1, 0.08? 1 What is the second biggest value in 1/5, 5/4, -3/236? 1/5 What is the second biggest value in 37, -3/5, -0.2, 0.1, 12? 12 What is the third biggest value in -0.5, -2/7, -12/7, 0, 0.07? -2/7 What is the third smallest value in -3, 1/1569, 4, 0.5? 0.5 What is the third smallest value in -118, -16/7, 50? 50 Which is the smallest value? (a) 0 (b) 1/47216 (c) 3 a What is the fourth smallest value in -2/9, 8, -51, -3/5? 8 Which is the third biggest value? (a) -3 (b) 9 (c) 14638 a Which is the third smallest value? (a) 1/4 (b) -1/2 (c) 1 (d) 5/6 (e) -0.4 (f) 46 a Which is the fifth biggest value? (a) -3 (b) -4 (c) 1 (d) 4 (e) 527 (f) 22 a What is the fourth biggest value in 2, -1/14, -26.8, 2/13? -26.8 Which is the biggest value? (a) -0.03 (b) 15/4 (c) -257 b Which is the sixth biggest value? (a) -0.4 (b) -2 (c) 0.11 (d) 28 (e) 3 (f) -3/4 b What is the fourth biggest value in -3/4, 2/7, -1, -549, -2/7? -1 Which is the biggest value? (a) 821 (b) -0.5 (c) -1623 a What is the third smallest value in -0.2, -0.01, 0.53, -0.3, -28? -0.2 Which is the fourth biggest value? (a) 3121 (b) 0.1 (c) 9 (d) 3/4 b Which is the fourth smallest value? (a) -5 (b) -0.2 (c) -0.189 (d) -4/181 (e) -1/2 c Which is the second smallest value? (a) 32.4 (b) 0.4 (c) -0.5 b What is the third smallest value in 1/7, -28.1, 3? 3 What is the fourth smallest value in -17, -1/6, -2/5, 3/4, 1, 241? 3/4 Which is the smallest value? (a) -535 (b) 1/6 (c) 2/11 (d) 4 (e) 2/13 a Which is the third biggest value? (a) 14.1 (b) 4 (c) 117 (d) -4 b Which is the biggest value? (a) 0 (b) -4 (c) -297 (d) -3/5 (e) -0.4 a Which is the fourth biggest value? (a) 4 (b) -351 (c) -1 (d) -18/7 b What is the second biggest value in 1, 17, 0.4, -0.3435? 1 Which is the fourth smallest value? (a) -3 (b) -1/3 (c) -0.1151 (d) 0.5 (e) -3/2 c What is the second biggest value in 0.4, -137, 1/41? 1/41 Which is the second smallest value? (a) -2/133 (b) 0.4 (c) -4/5 a What is the second smallest value in -1/6, 96, 1626/11? 96 What is the biggest value in 0, 24/13, -4, -9, -5? 24/13 Which is the fourth smallest value? (a) -4 (b) 36 (c) -61 (d) -3/4 b Which is the third smallest value? (a) 3 (b) 0.6 (c) 11936 c What is the third smallest value in -2/141, 5, 0, 608?
{ "pile_set_name": "DM Mathematics" }
denominator of a and v. 36 Let i(l) = 6*l - 2. Let a be i(3). Let c = -6 + a. Calculate the lowest common multiple of 9 and c. 90 Suppose 0 = -5*d + 29 + 31. Calculate the least common multiple of 6 and d. 12 Suppose q - 11 = 13. What is the common denominator of 4/2 + (-178)/q and 127/18? 36 What is the common denominator of (-327)/30 - -4 - -3 and -10? 10 Suppose 3*g + 2 = 5*h, 0*g + 6 = 3*h + 3*g. Let k = h - -6. Calculate the least common multiple of 8 and k. 56 Let v(w) = -w**3 - 2*w**2 - w + 4. What is the lowest common multiple of 22 and v(-3)? 176 Let z = -23/36 + -449/72. Find the common denominator of z and 146/(-168) - (-6)/(-9). 56 Let o be (-3 + 3712/(-6))*21. Let p = o + 287285/22. Find the common denominator of -51/10 and p. 110 Let q = 1592/5 - 320. What is the common denominator of -83/4 and q? 20 Suppose y - 2*p = -p - 3, 0 = -4*y + 5*p - 16. Let m = -30010 + 9393121/313. Let v = m + 11313/1565. Calculate the common denominator of v and y. 5 Suppose -2*c + 58 - 18 = 0. Calculate the smallest common multiple of (0 + 3 + 1)*1 and c. 20 Let f = 44587/9 - 4959. Suppose -l + 2*q = -1146, 271 + 887 = l + 4*q. Calculate the common denominator of f and l/154 - (-2)/(-11). 63 Let n = 4315 + -86263/20. Calculate the common denominator of n and -63/44. 220 Suppose -2*w - 2*w = 48. Let j = w - -13. Calculate the smallest common multiple of 8 and j. 8 Let o = -39 + 7. Let v be 38/(-100) - 1/(-2). Let q = 209/75 - v. What is the common denominator of q and o? 3 Let r = -7 + 6. Let d = -6 - r. Find the common denominator of d/(-6)*(-444)/45 and 73/8. 72 Suppose -3*p = 1 - 4. Suppose 0 = o + 1, 32 = 5*k - o - o. Calculate the least common multiple of p and k. 6 Let i(q) = 6*q - 20. What is the least common multiple of 6 and i(8)? 84 Suppose 4*w - 4*o + 0 = 4, -3*w = 4*o - 3. What is the lowest common multiple of w and 3 + (0 - (2 + -1))/1? 2 Let l(u) = -u**3 + 3*u**2 + 5*u - 3. Let r be l(6). Find the common denominator of (43/5)/(r/(-45)) and 56/9. 9 Let t = -5 - 9. Let y = 68 - 36. Let f = y + t. Calculate the lowest common multiple of 6 and f. 18 Suppose 0 = -4*b + 6*b - 6. Let d = -5 - -9. What is the lowest common multiple of d and b? 12 Suppose 0 = 6*a - a - 45. Let c = a + -4. Calculate the smallest common multiple of 5 and c. 5 Let k(p) = -2*p**2 + 7*p + 1. Let s(u) = -u**2 + 3*u. Let i(f) = 2*k(f) - 5*s(f). What is the least common multiple of i(3) and 8? 8 What is the common denominator of 149/18 and 766/(-1036) + 36/(-63)? 666 Let b(a) = a**3 + 4*a**2 - a - 6. What is the least common multiple of b(2) and 14? 112 Let x = 121123/10 + -12124. Let d = 20 - 10. Calculate the common denominator of x and 1/(-10)*(d + 1). 10 Let r = 29 + -19. What is the lowest common multiple of 6 and r? 30 What is the common denominator of (-19)/(-57)*-30*(-9)/4 and 29/14? 14 Let m be (-7)/(-1*4/32). What is the common denominator of 2 + -2 + 175/m and -31/34? 136 Let s(t) = 9*t - 4. Let f(x) = x**3 - 40*x**2 + 38*x + 61. Calculate the lowest common multiple of f(39) and s(6). 550 Let i be (-5)/2*198/(-45). Let o(h) = -h**2 + 11*h + 6. Suppose 5*d = -5*x + 105, 0 = -3*x - 2*x + 25. Calculate the least common multiple of o(i) and d. 48 Let r = 24/7 - 53/42. Find the common denominator of r and -61/24. 24 Let u = -98/3 + 1303/36. What is the common denominator of -5/6 and u? 36 Let g = 25 - 27. Calculate the smallest common multiple of 20 and 6/(g*1/(-6)). 180 What is the common denominator of 2/2 + (-492)/80 and -79/12? 60 Let m = -9 + 16. Let w = 10 - m. Suppose 40 = -a + w*a. What is the lowest common multiple of a and 12? 60 Let n = -2450797/104 + 23565. Calculate the common denominator of 11/14 and n. 728 Let s = 1944/11 - 10619/66. Find the common denominator of -40/9 and s. 18 Let y be (3/(-9))/((-5862)/677055). Let q = y - -1/2931. Find the common denominator of -69/8 and q. 8 Suppose 4*n + 44 = 12. Let b be 21/12*n/722. Let p = 22799/2888 + b. What is the common denominator of p and 27? 8 Suppose j = -3*j - 24. Let w be (-4)/j*(-36)/(-8). Suppose 0*f + 35 = 4*f + y, -w*y - 35 = -2*f. Calculate the least common multiple of f and 11. 110 Let r be -2*(2/(-4) + -1). Suppose r*w - 24 = -9. Suppose -w*x = 4 - 14. Calculate the lowest common multiple of x and 22. 22 Let c = -6/2791 + 237331/44656. What is the common denominator of -65/12 and c? 48 Let d = 1 - 0. Let r(w) = -d + 2*w + w**3 - 2*w**3 + 8*w**2 - 8*w. What is the smallest common multiple of r(7) and 22? 66 Let k = -3866 - -7959/2. Let v = 128 - k. Calculate the common denominator of 149/24 and v. 24 Suppose 0 = z + 3*q + 16, 0 = 5*q - 3 + 13. Find the common denominator of (212/(-20))/(12/z) and 17/5. 30 Let p = 6/674989 + 21806243/3857080. Let w = 33/70 + p. Calculate the common denominator of (-4)/6 - (-50)/48 and w. 8 Suppose 2*h + 3*h = 25. Let u be (-1788)/8*(h - -1). Let b = u - -5335/4. Find the common denominator of b and -87/4. 4 Suppose -3*b - 3*k = -5*b + 517, -4*b + 1004 = 4*k. What is the lowest common multiple of b and 8? 1016 Suppose -m - 1 = 0, -5*m + 31 = 2*k - 0*k. Calculate the least common multiple of 154 and k. 1386 Suppose -4*r - 6*l = -2*l - 24, 3*l = -5*r + 30. Calculate the lowest common multiple of r and 7. 42 Suppose 7*y = y - 312. Calculate the smallest common multiple of (-819)/y - 2/(-8) and 1. 16 Let h = -108 + 111. What is the least common multiple of h and 1? 3 Let a = -67549/12 - -5622. What is the common denominator of (2/12)/((-22)/42) and a? 132 Calculate the common denominator of (-2)/(-6) + (-5 - 1056/(-234)) and 8/11. 143 Let w = -2 - -6. Let p(k) = 4*k + 7. Let q be p(5). Suppose -w*b + q = -b. What is the lowest common multiple of b and 1? 9 Let a = -24 + 44. Calculate the smallest common multiple of 1 + (-8)/(-4) - 1 and a. 20 Let p(a) = -a + 7. Calculate the least common multiple of 9 and p(5). 18 Suppose 5*c = b + 32, -4*c - 3*b + 27 = 9. Suppose -4*u = -u + 66. What is the lowest common multiple of 18/(-21)*(u - -1) and c? 18 Let h = -40869/10 + 4094. Find the common denominator of h and 1463/(-132) + (4/(-2))/2. 60 Let b = 3545/28 + -485/4. What is the common denominator of ((-14)/(-12))/7 + (-89)/(-12) and b? 84 Calculate the common denominator of 103/72 and 554/(-96) + 12/36. 144 Let v = 10 - -1. Suppose 4*j = -j + 50. Calculate the lowest common multiple of v and j. 110 Let k = -4 - 2. What is the least common multiple of 11 and 9*4/k*-1? 66 Calculate the smallest common multiple of 8 and -2 + 1 - (-1 + 0) - -3. 24 What is the common denominator of 117/(-8) + (-6)/(-2) and 48/11? 88 Let j = -6509/8 + 804. What is the common denominator of (1/8)/((-4)/236) and j? 8 Suppose -2817 = -6*x + 3*x. Let k = 8459/9 - x. Find the common denominator of -97/8 and k. 72 Let a(w) = w**3 + 2*w**2 - 7*w. What is the least common multiple of 6 and a(3)? 24 Let q(r) = 9*r**2 + 2*r - 1. What is the lowest common multiple of (3 - (-87)/(-27)) + (-444)/(-54) and q(1)? 40 Let b = -19 + 874. Let z be 3678/b + 2/5. Let g = z - 2/57. Find the common denominator of -49/8 and g. 24 Let k = 2187/5 - 8839/20. What is the common denominator of k and 10/7? 140 Suppose -33 = -4*s + 3. Calculate the lowest common multiple of 0/(-4 + 1) + 4 and s. 36 Let f(x) = -x. Let v be f(-3). Suppose 9 = v*u - 21. What is the least common multiple of 8/(-36) - 384/(-27) and u? 70 Let w(p) = -p. Let b be w(-1). Let o = 25535/574 - -4/287. Calculate the common denominator of o and (42/22)/1 + b. 22 Let k = 10 + 0. Suppose 3*d + 2 = -4. What is the smallest common multiple of 1/(-3)*36/d and k? 30 Let t = -153 + 304. What is the common denominator of (1/11)/(2/(-97)) and (t/(-9))/(-1 + 3)? 198 Let p = -132/959 + 86692/741307. Let x = -56589/7730 - p. What is the common denominator of 107/10 and x? 10 Suppose l - 7 = 5. Let m(o) = 2*o - 2. Let s be m(2). Calculate the lowest common multiple of (-8 - -2)/s*-2 and l. 12 Let z(h) = -h**3 - 9*h**2 + 17*h. Calculate the least common multiple of z(-11) and 5. 55 What is the least common multiple of 3 and 10*(26/(-10) + 3)? 12 Let x = 209/31 - 5825/372. Let s = -10253/6 + 1704. What is the common denominator of s and x? 12 Let p = 38 + -22. What is the smallest common multiple of p and 10? 80 Calculate the common denominator of ((-9)/(-30))/(
{ "pile_set_name": "DM Mathematics" }
)))/(-2*sqrt(5)*1 + sqrt(720)/sqrt(9)). -10*sqrt(19) Simplify ((sqrt(5) - (3 + sqrt(180)) - sqrt(5))*3*4 + sqrt(50)/sqrt(10)*5 + sqrt(35)/(sqrt(77)/sqrt(11)))**2 + 3. 4752*sqrt(5) + 23079 Simplify (sqrt(2448) - -5*sqrt(2448) - (sqrt(17) - (5*(sqrt(17) - (3 + sqrt(17))))**2) - (6*(2*sqrt(85) - sqrt(85) - sqrt(85)))/(-3*sqrt(25)/sqrt(5))) + 5. 230 + 71*sqrt(17) Simplify ((sqrt(300) + 1)*-6 - (-2 + sqrt(27) + 5) - (sqrt(27) - sqrt(324)/(sqrt(12)*-4))/(sqrt(9) + sqrt(9) + -3*sqrt(900) + sqrt(9)))**2. 6799*sqrt(3)/6 + 46541329/3888 Simplify (-4 + (-5 + 5*-3*sqrt(72) + 1)*2*-4)**2. 40320*sqrt(2) + 1037584 Simplify sqrt(16)/(2*(sqrt(8) - -4*sqrt(8) - sqrt(8)))*-5 - ((sqrt(72) + (1*sqrt(72) - sqrt(72)))*-2*-3)**2. -2592 - 5*sqrt(2)/8 Simplify (-5*(3*sqrt(7) - sqrt(7)) + sqrt(7) + 0 + sqrt(252) + (sqrt(154)/(sqrt(33)/sqrt(3)))/(6*sqrt(4)/sqrt(2) + sqrt(2) - sqrt(2)))**2 + -2. 1951/36 Simplify ((4*(sqrt(252) + 2) - sqrt(252))*4)**2 - (2*sqrt(2401) + sqrt(49))/(sqrt(14)/(sqrt(6)/sqrt(3))). 4593*sqrt(7) + 37312 Simplify (-5*(2*(-4 + ((sqrt(832) + 2)*-3 - -5*(2 + sqrt(832)))) + 3))**2. 4800*sqrt(13) + 333025 Simplify ((sqrt(11) - 4*sqrt(11))*4 + (sqrt(66) + (sqrt(66)*-1 - sqrt(66)))/sqrt(6) + (-6*sqrt(110)*2)/(sqrt(10) + 2*sqrt(90) + sqrt(10)))**2. 9251/4 Simplify 1 + ((((sqrt(17) - (sqrt(17) + 0)*3 - sqrt(17)) + sqrt(17) - -2*sqrt(68)/sqrt(4))*-1 + 0)*-1)**2. 1 Simplify (sqrt(154)/(-4*sqrt(7)) + (sqrt(550) - sqrt(550)*-4))/(sqrt(22)/(sqrt(2) + (sqrt(2) - sqrt(32))*-1 + sqrt(2))*1). 495*sqrt(2)/4 Simplify 3*((2*sqrt(1053) - sqrt(1053))*6 - (sqrt(117) - ((5 + -4*sqrt(117) + sqrt(117))**2 - sqrt(117))))*-1. -3234 + 126*sqrt(13) Simplify ((5*((sqrt(720) - (sqrt(720) + -1 + sqrt(720) + 4)) + sqrt(720)) + 6*(sqrt(720) - (sqrt(720) + -2*sqrt(720)*-3)) + 4)*4)**2. 152064*sqrt(5) + 14931856 Simplify (-1 + sqrt(363) + 1 - (-1*sqrt(363)*-1 - sqrt(363)))**2 + (-6*(sqrt(363) + -2*(sqrt(363) + 1) + -1))**2 + 3. 2376*sqrt(3) + 13758 Simplify (-2*sqrt(3159)*-6 - (sqrt(3159) - sqrt(3159)*-2)*-3)/((-2*sqrt(24))/sqrt(8) + 1*sqrt(6)/sqrt(2)). -189*sqrt(13) Simplify -3 + sqrt(272) + 1 + sqrt(153)*-1 + 3 - (-1 + sqrt(68)/(sqrt(8)/sqrt(2)*-5) + -1)**2. -92/25 + sqrt(17)/5 Simplify ((0 + (sqrt(432) + 1 + 3 - sqrt(432)))*-2 + (sqrt(432)*-3 + 2 - (sqrt(432) + 3*(sqrt(432) + -1))))**2. 504*sqrt(3) + 21177 Simplify (4*sqrt(1300)*3 + 0)**2 + ((sqrt(117)*2 - sqrt(117))*-4)/(-2*(sqrt(9) + sqrt(144))). 2*sqrt(13)/5 + 187200 Simplify (-4 + ((-2*sqrt(540))/sqrt(6))/(-5*(-2*sqrt(245) + sqrt(245) - sqrt(245) - sqrt(5))))**2. 16*sqrt(2)/25 + 10008/625 Simplify (sqrt(1404) - -3*sqrt(1404) - 3*sqrt(1404))/((sqrt(336)*-1)/(sqrt(77)/(sqrt(11)*2))). -3*sqrt(13)/4 Simplify (sqrt(432) - (0 + -1*sqrt(432)))**2 + sqrt(432) + -4 + -2*sqrt(432) + -2*((2 + sqrt(432))**2 - sqrt(432))*6. -3508 - 444*sqrt(3) Simplify -4 + ((sqrt(1872) - (sqrt(1872) + ((sqrt(1872) + -2)*3 - sqrt(1872))))**2*4*-2 - ((-5 + sqrt(1872) + 0)**2 + 4 + sqrt(1872)*-3)). -62097 + 2460*sqrt(13) Simplify (4 + -5*sqrt(539) + sqrt(539) + -3)*-5 - ((sqrt(539) + -2 + sqrt(539) + sqrt(539))*5 + -2 + sqrt(539)*1 + 1)**2. -138110 + 2604*sqrt(11) Simplify (6*(3*sqrt(224) + sqrt(168)/sqrt(3)*-2)/((-6*(sqrt(84) - sqrt(84)*-1) + sqrt(84))/(sqrt(300)*1)))**2. 115200/121 Simplify -4*((-4*(sqrt(128)*1*5 - sqrt(128)) - (sqrt(128) + 0)*3*-2)*4 + 4)**2. -819264 + 10240*sqrt(2) Simplify (-3 + 1 + -5 + sqrt(684) + 2 + sqrt(684) + (sqrt(684)/(sqrt(192) - sqrt(12)))/(sqrt(600)/sqrt(8)))**2. -362*sqrt(19)/3 + 628084/225 Simplify 2 + 3*((-4*sqrt(80) + 5)*-6)**2 + -4. -17280*sqrt(5) + 140938 Simplify (2*(-5*1*sqrt(78) + (sqrt(78) - sqrt(78)*-1*6)))/(4*sqrt(72)/(sqrt(3) + sqrt(3)*-2)) + -4. -4 - sqrt(13)/2 Simplify (-5*(sqrt(2299) + (sqrt(2299) - (sqrt(2299) + 3)))*1 + sqrt(2299)*1 + 0 + (2 + 2 + sqrt(2299) - sqrt(2299)))**2 + -4. -1672*sqrt(19) + 37141 Simplify ((sqrt(104) - 3*sqrt(104)*1) + sqrt(104) + 2*(sqrt(104) + 1*sqrt(104)) + sqrt(104))/(sqrt(288)*-2 + sqrt(8) - (sqrt(72)*-2 + sqrt(8))). -2*sqrt(13)/3 Simplify (sqrt(5760)*1*6*3)/(1*((sqrt(1152) - (sqrt(1152) - (sqrt(1152) - -4*-2*sqrt(1152) - sqrt(1152)))) + sqrt(1152))). -18*sqrt(5)/7 Simplify -1 + (-5 + 1 + 1 + sqrt(700) + 0 + sqrt(700) + -2 + -2)**2 + 2. -280*sqrt(7) + 2850 Simplify 2 + 3 + 1*(-1 + (-2*sqrt(1088))**2 + -5). 4351 Simplify (1 + 3 + -1 + (-3*(-1 + sqrt(605) + 3*sqrt(605)) - 3*(sqrt(605)*2 + 0)))**2. -2376*sqrt(5) + 196056 Simplify 1 + ((5*-2*sqrt(19) - (-4 + sqrt(19) + -2)) + 5 + 1 + sqrt(19) + -2 + (sqrt(76)/sqrt(2))/sqrt(2))**2. -180*sqrt(19) + 1640 Simplify 4*(2*sqrt(1377)*2 - 4*1*sqrt(1377) - (4 + -4*(0 + sqrt(1377) + 0)))**2. -1152*sqrt(17) + 88192 Simplify (-1*(-1*sqrt(171) + sqrt(171) + sqrt(171)) - sqrt(171) - (sqrt(171) + 6*1*sqrt(171)))/(6*sqrt(36)*4*-1). 3*sqrt(19)/16 Simplify -1*sqrt(209)/((sqrt(110)/sqrt(10) + sqrt(11))*-1) + ((-3*sqrt(304))**2 - (-1 + sqrt(1539))**2). 37*sqrt(19)/2 + 1196 Simplify (1*sqrt(225))/(sqrt(45)/(sqrt(18)/sqrt(2))) + (-5*2*sqrt(60))/(2*sqrt(48)). sqrt(5)/2 Simplify (-3*(1*sqrt(272)*-4 + sqrt(272) + (sqrt(272) - (sqrt(272) + -1*sqrt(272) + -5))))**2 - ((0 + sqrt(272))*2 + 6*(sqrt(272) + 2)). -752*sqrt(17) + 10005 Simplify (((sqrt(459) - sqrt(459)*-2)*1)/(sqrt(9) - (sqrt(27)/sqrt(3) - sqrt(9))*-5))/(sqrt(363) + (sqrt(363) - sqrt(363)*-4) + sqrt(2187) + sqrt(27)). sqrt(17)/32 Simplify -2 + ((sqrt(14) + (sqrt(112) + (sqrt(112) - sqrt(112)*-1))/sqrt(8))*4)/((sqrt(1152) - ((sqrt(1152) - -2*sqrt(1152)) + sqrt(1152))) + sqrt(1152)). -2 - sqrt(7)/3 Simplify ((sqrt(6171) + 1*sqrt(6171) - sqrt(6171))/(-2*sqrt(432)) - (4*(sqrt(425) + -3) + 2))**2. -2455*sqrt(17)/6 + 4155977/576 Simplify ((-5*(sqrt(171)*1 - sqrt(171)) - sqrt(171)) + 2*sqrt(171)*2)/(-2*sqrt(36) + -1*1*sqrt(9)). -3*sqrt(19)/5 Simplify (sqrt(252) + (sqrt(252) - sqrt(252)*-3*6) + sqrt(252) + sqrt(252) + (sqrt(252) + 3)*-1)**2 - -2*(-6*(-3 + sqrt(252)*-1))**2. 1836*sqrt(7) + 129933 Simplify (4*2*sqrt(22)*5*4)/((sqrt(2)*2 + sqrt(2))*1 - (sqrt(2) - 6*(3*sqrt(2) - sqrt(2)))). 80*sqrt(11)/7 Simplify (sqrt(385)/(sqrt(7) + (sqrt(77)/sqrt(11)*-1 - sqrt(7) - sqrt(7))))/(sqrt(44)/(sqrt(36) + sqrt(180)/sqrt(5))). -3*sqrt(5) Simplify ((-4*1*((sqrt(1500) - sqrt(15)) + sqrt(15)))/(sqrt(15)/sqrt(48) - sqrt(10)/sqrt(2)*1))**2. 25600/3 Simplify (sqrt(1764) + (-1*sqrt(1764) + sqrt(1764))*4 + 1*(sqrt(1764) + 2*sqrt(1764)))/(sqrt(192)*-4 + (sqrt(1200) + (sqrt(1200)*4 - sqrt(1200)) - sqrt(1200))). 2*sqrt(3) Simplify 1 + ((2*sqrt(171)*-2 + sqrt(171))/sqrt(9)*2 - (sqrt(76)*-2 + -2 + sqrt(76) - sqrt(76))*2)**2. 16*sqrt(19) + 93 Simplify ((3*sqrt(133) + sqrt(133))*2 + sqrt(133)*-1*-1)/(1*(sqrt(14)/sqrt(2) - sqrt(7)) + sqrt(7)*-2*2). -9*sqrt(19)/4 Simplify ((sqrt(540)*2 - sqrt(60))/(6*sqrt(24)/sqrt(2)) - ((sqrt(960) - (sqrt(960)*1 + sqrt(960))) + sqrt(960) - sqrt(60))/(sqrt(48)*2 - sqrt(48)))**2. 80/9 Simplify (-2 + ((((sqrt(396) + 1 - sqrt(396)) + 3 - (sqrt(396)*-1 + 4)) + (sqrt(396) + -1 + sqrt(396))*-4 + 0)*-2)**2)*-6. -466068 + 8064*sqrt(11) Simplify (((sqrt(756) - sqrt(756)*-1 - sqrt(756) - sqrt(756))*3)/((sqrt(108) + sqrt(108)*1)/sqrt(9)) + 0)*6. 0 Simplify ((4*sqrt(108)*6)**2 - -3*(sqrt(3) - sqrt(3)*-2)*-5)*-5. -311040 + 225*sqrt(3) Simplify sqrt(152)/sqrt(8)*-5 + 0 + -3 - (-4*(-2 + sqrt(2736)))**2*3. -131523 + 2299*sqrt(19) Simplify (-6*((sqrt(209)/sqrt(11))**2 + sqrt(19)) + -5 + 1 + (((sqrt(152) - sqrt(152)*-1)/sqrt(8))**2 - (sqrt(114)*-2 - sqrt(114))/sqrt(6)))*6. -252 - 18*sqrt(19) Simplify -5*((sqrt(156) - (sqrt(156)*4*4 - sqrt(156)))/(sqrt(33)/(sqrt(11)*1)))**2*4. -203840 Simplify (sqrt(98) + 1 - sqrt(98))*-2 + (sqrt(98) - ((-1 + sqrt(98))**2 + -1)) - (-1 + -6*(-3 + sqrt(98)*3))**2. -32141 + 4305*sqrt(2) Simplify ((-2 + sqrt(1700))*4 + -5 + ((sqrt(153)*1)/sqrt(3) - sqrt(51))/sqrt(192))**2. -1040*sqrt(17) + 27369 Simplify 6*((sqrt(304)*3)**2 + 2 + sqrt(2299) + (1 + (sqrt(171)/sqrt(9))**2 - ((sqrt(19) + 2 + 0 - sqrt(19)) + sqrt(19))**2)). 42*sqrt(19) + 16410 Simplify -6*(3 + ((3*(sqrt(19) - (2 + sqrt(19)))*-2)**2 - (4 + sqrt(2736) + -4)**2))*-4. -62136 Simplify (sqrt(234)/(sqrt(24) + sqrt(6))*-6)/(sqrt(33)/(sqrt(33)/sqrt(27)))*-6. 4*sqrt(13) Simplify ((1*(sqrt(364) + 1*sqrt(364)*1))/(-4*(sqrt(28)*-2 - sqrt(7))) + -5)*6. -30 + 6*sqrt(13)/5 Simplify (sqrt(405)*1 - sqrt(405)) + 3 + sqrt(180) - (-1*(sqrt(605)
{ "pile_set_name": "DM Mathematics" }
the nearest to 1 in -35, 2, 4/9? 4/9 What is the nearest to -1 in 3/7, -4, 7, 6? 3/7 Which is the closest to -1? (a) -2 (b) 1/4 (c) -185 a Which is the closest to -2/7? (a) -3 (b) 0.2 (c) -13 b Which is the nearest to 1/3? (a) 75 (b) -3/44 (c) 2/5 c What is the nearest to 0.7 in -0.4, -1.5, 5? -0.4 Which is the nearest to -0.4? (a) -3 (b) 20 (c) -0.05 (d) -2 c Which is the closest to 5? (a) -0.5 (b) 0 (c) -20/9 b Which is the nearest to 0? (a) 1 (b) -2.4 (c) 0.1 (d) -5 c Which is the closest to 5? (a) 0.003 (b) -1/6 (c) -2/15 a Which is the nearest to -0.1? (a) 2 (b) 11 (c) 1/16 (d) 3/5 c What is the nearest to -0.1 in 5, 0, 11? 0 What is the closest to -1 in 0.09, 5, -2, -2/59? -2/59 What is the closest to 1 in 12/5, 2/7, -0.2, -40? 2/7 What is the nearest to -1 in -1, -3, 0? -1 What is the closest to 15 in -15, -3, 1/7, -0.3? 1/7 Which is the closest to -0.06? (a) -8 (b) 4 (c) 3 c Which is the closest to -2/9? (a) 713 (b) 3 (c) 0.2 c What is the closest to -1 in 0.4, 2, 0.09, -1? -1 What is the closest to 2/7 in 1, -1/2, 5, 339? 1 What is the closest to 2 in -10, 9, 0.2, -2/19? 0.2 What is the closest to 0 in 1, 2, -19/3? 1 Which is the nearest to -341? (a) -3/8 (b) -0.08 (c) 0.2 a What is the closest to 0.056 in 31, 2/21, 2/15, 0.1? 2/21 What is the closest to 0 in 6, 1, 7/3, -4? 1 What is the closest to -3.8 in -5, -0.41, -4? -4 What is the closest to -1/10 in 0.4, 4, 0.06? 0.06 Which is the nearest to -2/13? (a) -0.3 (b) -0.46 (c) 14 a What is the closest to 2 in -3, 22, -1/4? -1/4 Which is the closest to 3? (a) 1 (b) -47 (c) 2 c Which is the closest to -5/7? (a) -1 (b) 0.2 (c) -2 a What is the nearest to -22 in 2/15, 5, -0.1? -0.1 Which is the closest to -1? (a) -14 (b) -0.2 (c) 0.6 b Which is the closest to -2/7? (a) -2 (b) 0.5 (c) 2/3 (d) 2/17 d What is the nearest to -0.185 in 0, -1, -5? 0 Which is the nearest to 1/4? (a) -6 (b) 1.5 (c) 3 (d) 0.4 d Which is the closest to -0.3? (a) -1/5 (b) 61 (c) -5 a Which is the nearest to 1/3? (a) 1 (b) -82 (c) 0.07 (d) -0.3 c Which is the nearest to 2/7? (a) 1.8 (b) -3/8 (c) 3/5 c What is the closest to 0.3 in 0.3, -1, 6, -4? 0.3 What is the closest to -1/2 in -0.2, 5, 2/31? -0.2 Which is the closest to -0.05? (a) -1/2 (b) 20 (c) 4 a Which is the closest to -0.1? (a) 0.1 (b) -2 (c) 0 (d) -92 c What is the nearest to -1/3 in -0.1, 223, -0.5? -0.5 Which is the nearest to -0.2? (a) -8 (b) 0 (c) -1 (d) -0.2 d Which is the nearest to -3/5? (a) -2 (b) 6 (c) -0.2 (d) 0.3 c What is the closest to -4 in -2, -0.08, 2, -0.2? -2 What is the closest to 1/3 in 0.2, 0, 8? 0.2 What is the nearest to 1/4 in 1/4, -2/3, 0.2, 0.04? 1/4 Which is the nearest to 4? (a) 3 (b) -4 (c) -28 a What is the nearest to 2/7 in 1, -4, 5, -2/5? -2/5 What is the closest to 4 in 1/7, -1/4, 1.3? 1.3 Which is the closest to 1/6? (a) -4 (b) -1 (c) -10/9 (d) -0.5 d Which is the nearest to 0.19? (a) -2/7 (b) 0.3 (c) 2 b Which is the nearest to 2? (a) 1 (b) -0.3 (c) 4/3 (d) -3 c Which is the closest to -14? (a) -6 (b) 0.3 (c) 4 a What is the nearest to -1/3 in -3/5, -1/3560, -4, -1/4? -1/4 Which is the nearest to -1/4? (a) -69 (b) -0.5 (c) 3 b Which is the nearest to -25? (a) -3/8 (b) 2/5 (c) -0.4 c Which is the closest to 1? (a) 9 (b) 3 (c) 0.5 c Which is the closest to 2? (a) -1 (b) -0.5 (c) 0.2 (d) -4 c What is the closest to -12/7 in 15, -0.1, 1/10, -4? -0.1 Which is the nearest to 4? (a) 4 (b) 1/2 (c) 32/5 a What is the closest to -1/2 in -2/9, -1, 4, 36? -2/9 What is the nearest to -0.36 in 0.4, 7, -3/4? -3/4 Which is the nearest to -10? (a) 2/7 (b) 4 (c) 2/5 (d) 7/3 a Which is the nearest to -0.1? (a) -1 (b) 1/264 (c) -2 b What is the nearest to 0.1 in 1/3, -5, -16, 3? 1/3 What is the closest to 4 in 1, -5, 0.2, 1/7? 1 Which is the nearest to -4? (a) -0.1 (b) -3 (c) -0.2 b Which is the nearest to 5/4? (a) -0.1 (b) -2 (c) -1 (d) 0.5 d Which is the nearest to 3? (a) 3 (b) 5/3 (c) -1/4 a Which is the closest to -7/3? (a) -0.02 (b) 5 (c) 0.3 a Which is the nearest to -0.6? (a) -3 (b) -5/4 (c) 6 b What is the nearest to 2 in -0.2, 1/11, -12? 1/11 Which is the closest to 1? (a) -2.1 (b) 4 (c) 2 c Which is the nearest to 9.1? (a) -3 (b) -2 (c) 0.37 c What is the closest to 3 in -12/5, 1/5, 1? 1 Which is the nearest to 1/3? (a) -4 (b) 0.12 (c) -0.5 (d) -5 b Which is the nearest to -0.2? (a) 2/13 (b) 29 (c) 0 c What is the nearest to -1 in 4/9, -3/5, 1/3? -3/5 Which is the nearest to -0.2? (a) 2 (b) -57/74 (c) 0.1 c What is the closest to -1 in 3, 0.4, -2/13? -2/13 What is the nearest to 0.1 in 5, 7, -0.3? -0.3 What is the nearest to -0.05 in 0.4, -1, -3, -24? 0.4 Which is the nearest to -2? (a) 2 (b) -2 (c) 2/5 b What is the nearest to -5 in -0.4, 0, 1/7? -0.4 Which is the nearest to 0? (a) -4 (b) 2 (c) 0.279 (d) -1/7 d Which is the nearest to -3? (a) 2/5 (b) -0.4 (c) 7/5 (d) 1/2 b What is the nearest to -10 in 2.9, -5, -0.2? -5 What is the nearest to 1 in 0.1, 0.4, -6? 0.4 What is the nearest to -5/2 in -3, 3, 5, 13/3? -3 Which is the closest to 0? (a) -2/3 (b) -1/3 (c) 17 b Which is the nearest to 0.1? (a) -1 (b) -0.1 (c) 2 (d) -2 b What is the closest to 1 in -0.1, -1/3, -4? -0.1 What is the nearest to -0.1 in -2, -4, -1, 16? -1 Which is the closest to 5? (a) -3 (b) -0.3 (c) -4 b What is the closest to 1 in 1/4, -0.5, 2, -16? 1/4 What is the closest to -1/3 in -0.02, 0, 3, -1? -0.02 Which is the closest to 2/3? (a) -3 (b) 2.1 (c) 1 c What is the closest to 0 in 2.4, 2, 4? 2 What is the closest to -1/4 in 2, 125, -5? 2 What is the nearest to 1/2 in -2/9, 2/285, 3, 1? 2/285 What is the closest to -0.05 in 4, -16, 0.5, 5? 0.5 What is the nearest to 19 in -2/5, 0.4, -2? 0.4 What is the nearest to -2 in 2, -0.4, 7, -5/3? -5/3 Which is the nearest to -1/3? (a) 1 (b) 8 (c) -3/2 c What is the nearest to 1/5 in 0, -5, 2/9, -1.5? 2/9 What is the nearest to 65 in -0.2, 9, 0.2, -1/2? 9 What is the closest to 0 in -0.4, 1.1, 0.08? 0.08 What is the closest to -0.8 in -7, -0.05, 0.5, -1/2? -1/2 What is the closest to 2/5 in -14, -2/111, 2/17? 2/17 Which is the closest to -0.2? (a) -3.3 (b) 0.3 (c) 3 b Which is the nearest to -0.1? (a) 2/3 (b) 242 (c) -0.2 c What is the nearest to 1 in 0, -2, -2/25, 0.3? 0.3 What is the closest to 2/3 in 4, -2/15, -2, 3? -2/15 What is the closest to 0.1 in 3, 6, 1, 2? 1 What is the closest to -1319 in 0.3, -2, 5? -2 What is the closest to 6/115 in -1, -0.1, 0.5? -0.1 Which is the closest to 2? (a) -5 (b) -1/3 (c) -0.5 b Which is the nearest to 7? (a) 0.3 (b) -5/7 (c) 1/3 (d) -0.2 c Which is the nearest to -1/4? (a) 2 (b) 3 (c) -1 c Which is the nearest to 0? (a) 33 (b) 5 (c) 0.1 (d) -0.5 c What is the closest to 1/4 in 0.3, 3, -32? 0.3 What is the closest to 3 in -0.4, 1/4, -1/2, 27? 1/4 What is the nearest to 1 in -3, 11, -0.4, -0.2? -0.2 What is the closest to -1 in -1/4, -4/119, 3, 0? -1/4 What is the closest to 2/55 in 1/3, -2, -1? 1/3 Which is the nearest to -0.09? (a) 10 (b) -1 (c) 0.2 c What is the nearest to -52 in 0.1, 0.4, 18, 4? 0.1 What is the closest to -1/2 in -0.07, 0, 4, -8? -0.07 What is the closest to 44 in -0.2, -2/7, 3/8, 0.5? 0.5 What is the closest to -1/2 in -1, 3, -0.3, -5? -0.3 Which is the nearest to 0.1? (a) 0.44 (b) 1 (c) -0.5 a Which is the nearest to 2? (a) -1 (b) -2/9 (c) 3 c Which is the nearest to 2? (a) 2 (b) -7 (c) -5 (d) 1 a What is the closest to 1 in -149/4, 3/2, 0.2? 3/2 Which is the nearest to 77? (a) -4 (b) -2 (c) -3 b What is the closest to -1 in -2/19, -197, 0.2? -2/19 Which is the closest to 1? (a) -14 (b) 0.3 (c) 2/19 (d) 5 b What is the closest to 4 in 5/6, -2, 5, -1/4? 5 Which is the closest to -2/3? (a) -210 (b) 1 (c) 3/8 c Which is the nearest to -2/15? (a) 4/5 (b) -10 (c) 2/11 (d) -1/6 d What is the nearest to 2/3 in 0, -5, 27? 0 Which is the nearest to -1/4? (a) 6 (b) -4 (c) -1 (d) -0.02 d What is the closest to 2/7 in -0.28, 2/29, -1? 2/29 What is the nearest to 0 in -107, 0.1, -2/5? 0.1 What is the closest to 14 in -0.1, 4/7, 9? 9 Which is the nearest to 0.2? (a) -4 (b) 3 (c) 3/7 (d) 0 d What is the closest to 2/7 in 0, 4, -3, 1/10
{ "pile_set_name": "DM Mathematics" }
e 8. -716 What is 502 (base 11) in base 10? 607 What is -293 (base 12) in base 4? -12033 Convert -1533 (base 13) to base 16. -c0c What is 1310 (base 4) in base 6? 312 Convert -aa62 (base 12) to base 9. -27702 Convert -13622 (base 7) to base 5. -104430 Convert ba62 (base 12) to base 15. 6132 18264 (base 10) to base 2 100011101011000 25a8 (base 12) to base 7 15356 -1143 (base 7) to base 9 -520 Convert 1286 (base 9) to base 15. 449 Convert -225 (base 16) to base 11. -45a Convert 4665 (base 11) to base 14. 2333 -277 (base 15) to base 12 -3aa What is -349 (base 16) in base 4? -31021 Convert -3122 (base 5) to base 9. -507 1dc (base 16) to base 11 3a3 Convert 474a (base 11) to base 8. 14121 202 (base 16) to base 5 4024 Convert 1020 (base 12) to base 5. 24002 What is -578b (base 12) in base 8? -23033 -112 (base 9) to base 4 -1130 Convert 89366 (base 10) to base 3. 11112120212 Convert 12333 (base 4) to base 3. 121120 -12211011 (base 4) to base 2 -110100101000101 -5511 (base 7) to base 2 -11110110000 What is -a21 (base 13) in base 4? -122311 Convert 1134234 (base 5) to base 2. 101001011001010 2130312 (base 4) to base 6 114250 What is 397 (base 10) in base 9? 481 6235 (base 12) to base 6 121305 -1522 (base 6) to base 15 -1c5 What is 263d (base 14) in base 7? 25406 What is 22110 (base 5) in base 11? 1171 Convert 22002 (base 3) to base 13. 13a What is -3384 (base 9) in base 7? -10210 Convert 232 (base 6) to base 3. 10102 Convert 3213 (base 6) to base 13. 441 What is 41114 (base 7) in base 5? 310012 12221231 (base 4) to base 6 330045 What is d15 (base 16) in base 12? 1b31 What is 3470 (base 12) in base 11? 4433 What is 19c7 (base 13) in base 6? 25545 -5225 (base 6) to base 2 -10010010001 Convert 524 (base 8) to base 12. 244 What is 5305 (base 9) in base 13? 1a06 What is 1011 (base 10) in base 15? 476 Convert 345656 (base 7) to base 6. 1155215 Convert -1131022 (base 4) to base 13. -2938 What is 4a12 (base 12) in base 15? 272b What is 210201 (base 4) in base 16? 921 -1627 (base 13) to base 16 -cac Convert 25a (base 13) to base 14. 217 Convert 32f (base 16) to base 11. 681 Convert 726 (base 16) to base 4. 130212 -781 (base 16) to base 10 -1921 What is -103430 (base 5) in base 3? -11221220 a4a (base 11) to base 15 594 833 (base 13) to base 4 111302 What is -113320 (base 4) in base 16? -5f8 -2223 (base 4) to base 3 -20100 Convert -18b (base 12) to base 6. -1055 3300 (base 7) to base 8 2230 -9ba1 (base 16) to base 10 -39841 Convert 261036 (base 7) to base 3. 2110101020 Convert 108 (base 9) to base 4. 1121 1255 (base 8) to base 15 30a Convert 1077 (base 8) to base 12. 3bb What is -4591 (base 10) in base 14? -195d What is -65 (base 12) in base 13? -5c -122 (base 15) to base 13 -16a What is -5092 (base 11) in base 14? -2668 Convert 4436 (base 9) to base 14. 129b What is -394 (base 11) in base 7? -1234 What is 2154 (base 6) in base 9? 617 -1100312 (base 4) to base 10 -5174 What is -3003122 (base 4) in base 14? -47b4 What is 13223 (base 10) in base 4? 3032213 What is 24 (base 11) in base 14? 1c 1101110011010 (base 2) to base 6 52414 Convert 1024 (base 5) to base 3. 12011 -141403 (base 5) to base 3 -22000210 -ab (base 16) to base 11 -146 What is 12110 (base 4) in base 13? 251 What is -16b1 (base 14) in base 6? -30511 22011 (base 4) to base 3 212220 What is 11603 (base 7) in base 4? 233201 What is 50614 (base 7) in base 10? 12310 What is -43305 (base 8) in base 10? -18117 Convert -42321 (base 5) to base 9. -3801 Convert -13134 (base 8) to base 3. -21212000 -22461 (base 9) to base 7 -61420 Convert -2110100 (base 3) to base 6. -12143 Convert 510 (base 10) to base 7. 1326 Convert -301540 (base 6) to base 12. -118b0 Convert 110101101100 (base 2) to base 15. 1041 1011001100000 (base 2) to base 15 1a6d Convert 1f32 (base 16) to base 11. 6000 -b80 (base 12) to base 15 -770 What is 1334 (base 10) in base 2? 10100110110 6c7b (base 15) to base 9 34568 -10227 (base 8) to base 3 -12211022 2222313 (base 4) to base 12 63b3 11110111100 (base 2) to base 4 132330 3430 (base 6) to base 13 4a4 1c4 (base 14) to base 13 224 What is 1110223 (base 6) in base 8? 155007 What is -2750 (base 11) in base 14? -1428 Convert -63c (base 16) to base 10. -1596 Convert 610 (base 13) to base 6. 4431 What is -4a6 (base 14) in base 15? -420 Convert -50750 (base 9) to base 2. -1000001010001001 Convert 231441 (base 5) to base 9. 12431 What is 1453 (base 7) in base 2? 1001000001 -43065 (base 7) to base 14 -3c6c What is -315001 (base 6) in base 9? -38231 What is -10211021 (base 3) in base 2? -101011100100 112100012 (base 3) to base 16 28d6 Convert -3043 (base 7) to base 6. -4524 What is -20034 (base 5) in base 15? -599 What is 133037 (base 8) in base 16? b61f What is -305b (base 13) in base 14? -2603 What is -197 (base 15) in base 5? -2432 What is b566 (base 14) in base 15? 93d9 Convert -3022424 (base 5) to base 14. -13957 What is 6331 (base 10) in base 16? 18bb What is 21300 (base 4) in base 2? 1001110000 What is -467 (base 8) in base 10? -311 -1112022 (base 3) to base 13 -67a Convert 160177 (base 8) to base 10. 57471 What is 3206 (base 13) in base 5? 210220 7420 (base 8) to base 13 19a8 Convert -2636 (base 8) to base 11. -1098 -33b (base 14) to base 15 -2cb What is 6047 (base 14) in base 11? 11465 Convert -7d98 (base 16) to base 10. -32152 -9c0 (base 14) to base 11 -14a7 -110001110 (base 2) to base 11 -332 What is -20130 (base 5) in base 2? -10100001010 Convert -11010010010 (base 2) to base 7. -4622 Convert 10053 (base 6) to base 16. 531 Convert -2263 (base 7) to base 3. -1010201 What is -133330 (base 4) in base 16? -7fc What is -2ac7 (base 15) in base 14? -34c3 What is 1a79 (base 14) in base 5? 123221 Convert -2605 (base 9) to base 3. -2200012 What is 1155 (base 16) in base 14? 188d 8377 (base 11) to base 9 16187 -12032 (base 6) to base 11 -134a Convert 256000 (base 7) to base 6. 1004421 What is -11122 (base 4) in base 14? -1aa -3a2 (base 12) to base 9 -675 Convert -4442 (base 5) to base 3. -212001 Convert -1220 (base 6) to base 8. -454 -174 (base 11) to base 8 -312 What is 20767 (base 8) in base 7? 34231 -11011 (base 3) to base 11 -a2 Convert -2101201021 (base 3) to base 7. -254353 What is -1320343 (base 5) in base 15? -7c18 -14184 (base 9) to base 6 -112334 5294 (base 12) to base 15 2a2a 10926 (base 10) to base 9 15880 What is 834 (base 10) in base 8? 1502 154 (base 12) to base 10 208 -3a3b (base 14) to base 2 -10100000000101 What is 14a (base 12) in base 13? 127 What is 20465 (base 7) in base 4? 1032311 -52215 (base 7) to base 4 -3020001 18342 (base 9) to base 13 59cc -a5 (base 12) to base 13 -98 Convert 606 (base 7) to base 6. 1220 Convert 64dc (base 16) to base 11. 18443 Convert -134103 (base 5) to base 9. -7522 -6c (base 14) to base 8 -140 What is 1101120100 (base 3) in base 4? 12223323 -212002101 (base 3) to base 14 -61c3 -1c3b (base 14) to base 7 -21004 Convert -6469 (base 15) to base 8. -51401 What is 382 (base 15) in base 2? 1100011101 Convert 61163 (base 8) to base 10. 25203 What is 511a (base 12) in base 11? 6686 What is -11 (base 9) in base 8? -12 -1001102210 (base 3) to base 12 -bbb6 What is 3366 (base 7) in base 16? 4c8 What is 110111 (base 3) in base 8? 521 What is 2426 (base 7) in base 11? 750 What is 12a (base 15) in base 14? 14d Convert -1100101110110 (base 2) to base 8. -14566 -60602 (base 7) to base 4 -3211232 What is 30491 (base 12) in base 9? 105241 What is 27477 (base 9) in base 5? 1043434 What is 13d0 (base 15) in base 16? 1095 Convert -327b (base 15) to base 2. -10100111000011 -1479 (base 10) to base 4 -113013 c04 (base 14) to base 8 4464 503 (base 12) to base 14 399 Convert 710 (base 9) to base 4. 21000 Convert -1484 (base 9) to base 5. -14004 -1588 (base 14) to base 12 -2284 Convert 11595 (base 16) to base 2. 10001010110010101 10102101 (base 3) to base 5 34434 Convert -327 (base 10) to base 8. -507 Convert -498 (base 12) to base 10. -692 Convert -1c05 (base 16) to base 10. -7173 What is -11894 (base 10) in base 12? -6a72 What is 10011010010 (base 2) in base 5? 14414 What is -673 (base 13) in base 16? -454 -177 (base 8) to base 13 -9a Convert 8a4 (base 11) to base 13. 653 -6a0 (base 11) to base 2 -1101000100 1200211 (base 3) to base 2 10011010101 23429 (base 12) to base 6 1002
{ "pile_set_name": "DM Mathematics" }
29 is divided by 38. 17 Calculate the remainder when 2281286 is divided by 1140640. 6 What is the remainder when 72159 is divided by 23999? 162 Calculate the remainder when 1359143 is divided by 26. 19 What is the remainder when 573297 is divided by 5493? 2025 What is the remainder when 1148742 is divided by 5527? 4653 What is the remainder when 927191 is divided by 632? 47 What is the remainder when 13563581 is divided by 253? 251 Calculate the remainder when 167916 is divided by 1696. 12 What is the remainder when 54093 is divided by 155? 153 What is the remainder when 77659646 is divided by 176? 174 What is the remainder when 12694057 is divided by 3173506? 33 Calculate the remainder when 17893731 is divided by 24681. 6 What is the remainder when 289183 is divided by 1204? 223 What is the remainder when 306926 is divided by 82? 0 What is the remainder when 314575135 is divided by 138? 133 What is the remainder when 1439721168 is divided by 111? 108 What is the remainder when 1075112 is divided by 1410? 692 What is the remainder when 895913 is divided by 3780? 53 Calculate the remainder when 19434156 is divided by 171. 6 What is the remainder when 191712 is divided by 2912? 2432 Calculate the remainder when 2227477 is divided by 103. 102 Calculate the remainder when 787244 is divided by 292. 12 Calculate the remainder when 922851 is divided by 692. 415 Calculate the remainder when 135917 is divided by 103. 60 Calculate the remainder when 331261 is divided by 165543. 175 Calculate the remainder when 35714 is divided by 668. 310 What is the remainder when 7162003 is divided by 1227? 4 Calculate the remainder when 2757607 is divided by 284. 251 Calculate the remainder when 77705 is divided by 214. 23 Calculate the remainder when 3228603 is divided by 1076194. 21 What is the remainder when 394118 is divided by 599? 575 What is the remainder when 242902 is divided by 48570? 52 What is the remainder when 14333 is divided by 3525? 233 What is the remainder when 1124488 is divided by 3357? 3250 What is the remainder when 328710 is divided by 192? 6 Calculate the remainder when 26055 is divided by 4985. 1130 Calculate the remainder when 2226592 is divided by 10654. 10560 What is the remainder when 437601 is divided by 390? 21 What is the remainder when 12094546 is divided by 222? 208 What is the remainder when 2013055 is divided by 77424? 31 What is the remainder when 6041479 is divided by 9? 4 What is the remainder when 2020183 is divided by 936? 295 Calculate the remainder when 344544 is divided by 43022. 368 Calculate the remainder when 14150 is divided by 4442. 824 What is the remainder when 1107860 is divided by 553340? 1180 What is the remainder when 575259 is divided by 1386? 69 Calculate the remainder when 3154163 is divided by 1520. 163 Calculate the remainder when 60913 is divided by 5564. 5273 What is the remainder when 1998914 is divided by 399782? 4 What is the remainder when 117407 is divided by 570? 557 What is the remainder when 396549 is divided by 1396? 85 Calculate the remainder when 127923 is divided by 919. 182 Calculate the remainder when 10552 is divided by 1998. 562 Calculate the remainder when 164396 is divided by 18249. 155 What is the remainder when 475524 is divided by 320? 4 Calculate the remainder when 2820308 is divided by 67150. 8 What is the remainder when 2759976 is divided by 618? 606 Calculate the remainder when 3360731 is divided by 13. 10 Calculate the remainder when 221784 is divided by 27721. 16 Calculate the remainder when 255941586 is divided by 91604. 10 Calculate the remainder when 11959 is divided by 2781. 835 Calculate the remainder when 65672 is divided by 1391. 295 What is the remainder when 14351676 is divided by 64? 60 What is the remainder when 98818582 is divided by 1467? 1462 Calculate the remainder when 19851598 is divided by 1632. 1582 What is the remainder when 6899816 is divided by 2385? 11 What is the remainder when 737978 is divided by 737969? 9 Calculate the remainder when 18628 is divided by 3614. 558 Calculate the remainder when 162624 is divided by 39719. 3748 Calculate the remainder when 3160718 is divided by 1578. 1562 What is the remainder when 1253794 is divided by 274? 244 What is the remainder when 245320434 is divided by 2206? 2204 What is the remainder when 6427638 is divided by 17? 6 What is the remainder when 480322 is divided by 1133? 1063 What is the remainder when 297189 is divided by 84? 81 Calculate the remainder when 2661862 is divided by 532363. 47 What is the remainder when 405328 is divided by 88? 0 Calculate the remainder when 9988853 is divided by 2144. 2101 What is the remainder when 418445 is divided by 557? 138 What is the remainder when 155918747 is divided by 3250? 3247 Calculate the remainder when 28477411 is divided by 21157. 89 Calculate the remainder when 565500 is divided by 113098. 10 What is the remainder when 15847878 is divided by 7923871? 136 What is the remainder when 123810879 is divided by 606916? 15 Calculate the remainder when 1125703 is divided by 1615. 48 What is the remainder when 453153 is divided by 5343? 4341 Calculate the remainder when 32886 is divided by 10952. 30 What is the remainder when 265481 is divided by 132379? 723 What is the remainder when 21474027 is divided by 5108? 5103 Calculate the remainder when 3499357 is divided by 249954. 1 What is the remainder when 185742741 is divided by 726? 723 What is the remainder when 476062 is divided by 158407? 841 Calculate the remainder when 151690 is divided by 699. 7 Calculate the remainder when 58685690 is divided by 2483. 2468 What is the remainder when 39007257 is divided by 1273? 1264 What is the remainder when 76064101 is divided by 350? 1 Calculate the remainder when 2946013 is divided by 23381. 7 What is the remainder when 838788 is divided by 104837? 92 What is the remainder when 150586169 is divided by 75293080? 9 What is the remainder when 1720580 is divided by 3157? 15 Calculate the remainder when 268963 is divided by 104. 19 What is the remainder when 152112 is divided by 1690? 12 What is the remainder when 427932 is divided by 932? 144 What is the remainder when 4809 is divided by 1179? 93 Calculate the remainder when 27522 is divided by 6879. 6 What is the remainder when 92482899 is divided by 251997? 0 Calculate the remainder when 10243645 is divided by 200. 45 What is the remainder when 375698245 is divided by 76? 73 Calculate the remainder when 87426926 is divided by 11721. 11708 What is the remainder when 757237 is divided by 189301? 33 Calculate the remainder when 2000832 is divided by 200080. 32 What is the remainder when 207188 is divided by 103583? 22 What is the remainder when 21579 is divided by 4149? 834 What is the remainder when 10026939 is divided by 118? 7 Calculate the remainder when 533588 is divided by 246. 14 What is the remainder when 347732 is divided by 3820? 112 Calculate the remainder when 14221 is divided by 839. 797 Calculate the remainder when 2823983 is divided by 142. 29 Calculate the remainder when 31508047 is divided by 611. 610 Calculate the remainder when 6001 is divided by 2741. 519 Calculate the remainder when 1064386 is divided by 133033. 122 What is the remainder when 511667 is divided by 170283? 818 What is the remainder when 51343122 is divided by 2567156? 2 Calculate the remainder when 28225 is divided by 387. 361 What is the remainder when 101171633 is divided by 33723874? 11 What is the remainder when 114592526 is divided by 441? 440 What is the remainder when 2881919 is divided by 56508? 11 Calculate the remainder when 9928948 is divided by 748. 744 What is the remainder when 421910 is divided by 1867? 1835 What is the remainder when 151356849 is divided by 50? 49 Calculate the remainder when 84089 is divided by 83850. 239 What is the remainder when 9064690 is divided by 3974? 3970 What is the remainder when 591486 is divided by 2599? 1513 Calculate the remainder when 652332 is divided by 373. 328 Calculate the remainder when 2008226 is divided by 3517. 19 Calculate the remainder when 3566171 is divided by 297180. 11 Calculate the remainder when 25808 is divided by 6114. 1352 What is the remainder when 721630 is divided by 721630
{ "pile_set_name": "DM Mathematics" }
/(v/(v/((v**(2/5)*v*v)/v))*v))**(-1/11))**(-2))**4 assuming v is positive. v**(-40/11) Simplify ((((o*o**(2/21))/(o*o/o**(-2/17)*o))/(o**(2/5)/o**(6/5)))**(6/29))**18 assuming o is positive. o**(-78552/17255) Simplify (a*a*a*a*a*a/(a/a**(1/9))*a/(a/(a**2/a)))**(-9/10)*a**(-1/2)/(a*a*a*a**(-2)*a)*(a*a/a**(-1))**(2/19) assuming a is positive. a**(-146/19) Simplify ((h/(h*h**7)*h**(-1/2))/(h**(-2/7))**(-20))/(((h**5/h)/h*h)/h*h**7*(h/(h**(2/15)*h))/h**(-1/3)) assuming h is positive. h**(-1639/70) Simplify ((q/q**(2/7))/(q*q/(q*(q*q/(q*q/(q*q**0*q*q)))/q)*q)*(q/((q/(q/(q/q**(2/33))))/q))/q*q**(1/25))**(-29) assuming q is positive. q**(-136474/5775) Simplify ((f**4/f**(-2/3))/(f/(((f**(-1/2)/f*f)/f)/f*f))**(-4))/(f*(f**(1/3)*f)/f*f*f**(-3/4))**(4/37) assuming f is positive. f**(1609/111) Simplify (d**(-2)/(d*(d/(d/((d*d**(-1/3)/d)/d)))/d)*(d**(-1/4))**(-8))/((d/(d**(-1/11)*d))/d**2*d**(2/23)*d*(d*d**(-4))/d) assuming d is positive. d**(4672/759) Simplify (j**32/j**(-23)*j**(3/2)*j/(j*j/j**(10/11))*j)**(-1/13) assuming j is positive. j**(-1263/286) Simplify ((f/(f**(3/17)/f))**(-2/13)/(f**(-3/19)*f*(f*(f*(f*f/(f**(3/8)*f))/f)/f)/f*f))**(14/13) assuming f is positive. f**(-410949/218348) Simplify (((l*l**1*l)**(-2/19)*(l*l**(-2/3))/(l*l*l**(7/3)))**(-29))**(7/4) assuming l is positive. l**(8323/38) Simplify ((y**(1/4)/y)**3)**(-5/11)/((y/(y*y**(2/3)))**(-34)*((y**1*y*y)/y)**0) assuming y is positive. y**(-2857/132) Simplify (i**(-48)/i**(1/5))/(i*i*i*i**47*i*i**(-13)) assuming i is positive. i**(-431/5) Simplify ((b/(b*b*b/(b**(-11)*b)*b*b*b))**33/(b**(1/23)/b)**(5/9))**48 assuming b is positive. b**(-1637680/69) Simplify ((q**(-1/2)/q)**37*(q**(-17))**(10/9))**(-25) assuming q is positive. q**(33475/18) Simplify (c**3/c*c**(4/3)*(c**(1/4)/c)**(-2/67))/(c**0/(c**(4/5)/c))**(-39) assuming c is positive. c**(22423/2010) Simplify (((c/(c**(-1)*c))**(3/4)*c*c*c**(-3/10)*c/c**5)**13)**(-21) assuming c is positive. c**(8463/20) Simplify (((p**16/(p**(2/55)/p))**(-28/3))**(-2/23))**(5/4) assuming p is positive. p**(4354/253) Simplify ((((y*y**(1/3)*y)/(((y*(y*y**(5/6))/y)/y)/y))/(y**2/y)**(2/21))**(-40))**26 assuming y is positive. y**(-52520/21) Simplify ((c**(-1)*c)/c*c**(-3)*c*(c/(c*(c/c**(-7/5))/c))/c**(1/9))/((c*c/(c**(-3)*c))**23)**(2/41) assuming c is positive. c**(-16603/1845) Simplify q*q*q/(q**(-2/3)*q)*q**(2/63)*(q**(-2/13))**4 assuming q is positive. q**(1706/819) Simplify ((i**(-6)/i*i*(i/(i/i**(3/8)))/i)/(i/i**(1/4))**(9/7))/((i**0)**(4/15)*i**(-2/3)*i*i**(-1)) assuming i is positive. i**(-1163/168) Simplify (((f**(-9)/f**(-7))**(-22))**(-45))**(-1/5) assuming f is positive. f**396 Simplify (((o/(((o*o*o**0*o)/o)/o))**(2/3)*(o*o/(o**(-2)/o))**(-6/13))**(4/7))**(-2) assuming o is positive. o**(240/91) Simplify ((y*y**1*y**2)/(y*y**1*y*y)**(1/55))/((y*y/(y**(-6)*y)*y**4*y)/((y/y**(1/10))/y**6)) assuming y is positive. y**(-1449/110) Simplify ((d**6*d*d)/(d*d**11))**(-32)*(d**(-8)*d*d/d**(-7))/(d**(-2/9)/d**(-4)) assuming d is positive. d**(1127/9) Simplify ((f/(f*f/(((f/(f/(f*f**(-24)/f*f)))/f)/f)*f)*f)**(-45)*f**(-26)/((f*f**(-3/16))/f*f))**(-2/19) assuming f is positive. f**(-18291/152) Simplify (s**(1/4)/s**(-3/10))**(1/10)*(s**(1/4)*s*s**(-4))**(-46) assuming s is positive. s**(25311/200) Simplify (y**(1/3)/y**12*(y/((y/(y*y**0*y*y))/y))**(24/11))**(-3/29) assuming y is positive. y**(97/319) Simplify o**(-1)/(o**(2/9)/o)*(o**(-5)*o)/(((o/(o/(o**(1/5)*o*o)))/o)/o)*(o*o**(-1))**(-2/157)/((o*o*o*o/o**(-4)*o*o*o)/o*(o/o**1)/o) assuming o is positive. o**(-604/45) Simplify ((s*s**(-3/2)/s*s*s*s)/s**(-1/4)*(s*s**(2/11))/(s*s**(-1)))/((s**1)**(-25)*(s/(s/(s/(((s**(-1/3)*s)/s)/s))))**(-41)) assuming s is positive. s**(16315/132) Simplify (p**(-13/3))**(2/13)/(p/p**(-22/3))**(-18) assuming p is positive. p**(448/3) Simplify ((q**10*q**8*(q/q**2)/(q*q**7))**(-15))**(-12/11) assuming q is positive. q**(1620/11) Simplify ((((y/y**(-23))/y)**19)**(2/13))**(-4/27) assuming y is positive. y**(-3496/351) Simplify (u**(-2/5))**(-4/13)/((u*u**(3/10))/u**(7/5))*((u/(u*u**4))**31)**43 assuming u is positive. u**(-693131/130) Simplify (s**4/s)/(s**6/s)*(s*s/((s/(s/(s**6/s)))/s))/(s*s*s/((s/((s/s**(3/5))/s)*s)/s))*(s**(1/5)/s**(-1))**(-2/55) assuming s is positive. s**(-1497/275) Simplify (l*l*l/((l**1*l)/l)*l*(l*l/l**6)/l*l)/(l/(l/((l**(-3)/l)/l))*l**(-2)*l)*(l/l**1*l/(l/l**(-2/5)))/(l/(l*l**(2/5)/l))**(-3) assuming l is positive. l**(32/5) Simplify (((y*y**(-8)*y)/y)/y*y**(-9))**(-6/31)*(((y*y*(y**(-2)/y)/y*y)/y)**(-44))**(-22) assuming y is positive. y**(-59914/31) Simplify ((q/q**(-1))**(-14))**(-14)*(q/q**(-4))/q*q*((q/(((q*q**(2/7))/q)/q*q))/q)/q*q**7/q**(-1/2) assuming q is positive. q**(5645/14) Simplify (b*b*b**(2/11)*b*b*b**(-2))/((b*b**(-2/5)/b*b*b)/b**0)*((b*b*b*b**0)/(b*b**(-4)*b*b))/(b*b*b**(5/2)*b*b*b*b*(b*b/b**1)/b) assuming b is positive. b**(-431/110) Simplify ((m/(m*m**(-6)*m)*m/(m**32*m))/((m**(1/9)*m)/m**(-16)))**28 assuming m is positive. m**(-11116/9) Simplify ((h**(-1)*h*h*h)**(-12/7)/(h/(h**(-3/8)/h*h*h)*h)**(-13/4))**(12/5) assuming h is positive. h**(699/280) Simplify ((f/f**(-4)*f*f**(-3))/(f**(-1))**45)/(f**(-6)/(f*f**5))**43 assuming f is positive. f**564 Simplify (z*z**0/z)**6/(z**(-3)*(z/(z*z*z**(-2/7)/z*z*z*z))/z*z)*(z/(z/z**(-7))*z/z**7*z)**(-37) assuming z is positive. z**(3148/7) Simplify (q**(-4/7)/q*q*q/((q/(q**(-5/3)*q)*q)/q*q*q*q)*(q**(-1))**(2/19))/((q**(-3/7)*q*q**(2/9)/q)/(q/(q**(6/11)*q)*q**4)) assuming q is positive. q**(-8986/13167) Simplify ((p/(p*p**(-3)))**(-44)/(p/(p**(-4)/p))**(10/3))**(-1/6) assuming p is positive. p**(76/3) Simplify (l**(-2))**(-5/2)*l**1/l**(-3/8)*(l/(l*l*l**(-1/2)))**(-21)/((l*l**(-6)*l*l*l)/(l*l/(l/(l/(l/l**(2/21)))))) assuming l is positive. l**(3355/168) Simplify (x**(7/4)*x)**(-19/2)/(x/(x*x**(-1)/x))**(-47) assuming x is positive. x**(543/8) Simplify (f**(2/9)*f*f**(-3)*f*f**(-1)*f/f**(1/2))/(f**7*f*f*f/(f/f**(-3))*f)**(-1/9) assuming f is positive. 1/sqrt(f) Simplify q**(2/7)*q**(-2/7)*((q*q**(1/2))/q)**(-3)*(q**(-1/3))**(-4)/((q/((q*q**1)/q))/q)**(-48) assuming q is positive. q**(-289/6) Simplify (x*x/((x/(x*x**(14/11)))/x)*x*x)**7*(x/(x/(x/x**6)))**(1/3) assuming x is positive. x**(1394/33) Simplify ((((i/((i*i/(i*i*i**(-6)*i))/i)*i)/i**3)**22)**50)**(-16/3) assuming i is positive. i**(88000/3) Simplify ((n/n**(-1/7))/(n**(-13)/n)*(n*n*n**7)**(1/36))**27 assuming n is positive. n**(11637/28) Simplify (g**(-1)*g**(-1)/g*g*g)**(1/47)/((g**(3/8)/(g*g**(-6)))/(((g**6/g)/g)/(g/(((g*g**(-1/10)*g)/g)/g)))) assuming g is positive. g**(-4693/1880) Simplify ((q*q**2)**(-46)/((q*q*q**(2/5))/q**1))/((q*q*q/(q*q**6*q))/q**14)**23 assuming q is positive. q**(1488/5) Simplify (((i/(i**(-22)*i))/(i*i**(-1)))/(i*i/((i*i*i/(i/i**(-2/37)))/i)*i*i/i**(2/15)))**(2/3) assuming i is positive. i**(21178/1665) Simplify ((f/(f/(f*f**(-18)))*f*f/f**10*f)/(f/f**(-1/2))**38)**(-1) assuming f is positive. f**81 Simplify c*c**(-36)*c**(4/35)/c*(c/(c/(c*c/(c/(c**(-29)*c)))*c))/(c*c**(2/25)) assuming c is positive. c**(-11369/175) Simplify ((h**(-2/27)*((h*h**10/h)/h)/h)/((h*h**(-13))/((h*h**(1/4))/h)))**(1/38) assuming h is positive. h**(2179/4104) Simplify (o/(o*o**(-4/7)*o*o*o))/o**3*(o**1/o)**(29/4)*o**(-2)*o/o**(-3)*o**(-6)/(o/(o*o/(o**0/o*o)*o)) assuming o is positive. o**(-52/7) Simplify ((((a**(-2/5))**43)**5)**3)**(-29) assuming a is positive. a**7482 Simplify (((d*d**1*d**(1/7)/d)**(13/5))**8)**(-2/17) assuming d is positive. d**(-1664/595) Simplify v**(-4)/v**0*(v*v**(-2))**13*(v/v**(-2/11))/v*v*v*v**(-6)*(((v**0/v)/v)/v)**(3/19) assuming v is positive. v**(-4450/209) Simplify ((k**(-9/7))**14/(k*k**(18/7)*k*k*k*k**(-24)))**27 assuming k is positive. k**(-108/7) Simplify (y/y**(-3/7)*y**21*y**(5/7)/(y/(y/(y/y**18))))**(10/19) assuming y is positive. y**(2810/133) Simplify (((n*n**(-3/2))**47*(n*n**3)**12)**33)**(-2/49) assuming n is positive. n**(-33) Simplify ((m**(3/8)*(m/(m*m**3)*m)/m)/((m*m*m*(m**(-13)/m*m)/m)/m**4))**(-3/5) assuming m is positive. m**(-297/40) Simplify (m*m**(-1/7)*m*m/((m*m**(1/6))/m*m))**(-7)/((m**(1/3)*m)**(2/33)*m/(m/m**(4/11))*m**8) assuming m is positive. m**(-365/18) Simplify (q**(-1/2)/q)**(9/5)*(q**(-1))**(-26)*((q**(3/4)*q)/(q**(-2)/q*q))**(-27) assuming q is positive.
{ "pile_set_name": "DM Mathematics" }
False Let i(k) = -k. Let x be i(1). Let s = 13 + x. Does 10 divide s? False Suppose 492 = -4*f + 2*a, -a = -5*a - 8. Let c = f - -52. Is (-2)/5 - c/5 a multiple of 14? True Is 314/3*21/14 a multiple of 29? False Is (12/10)/((-26)/(-715)) a multiple of 11? True Let k(f) = 5*f + 93. Is k(19) a multiple of 19? False Suppose 0 = 5*g - 41 - 19. Is 12 a factor of g? True Let r(u) = u**3 - 5*u**2 + 3*u. Let x(k) = 4*k**3 - 15*k**2 + 8*k + 1. Let y(s) = 7*r(s) - 2*x(s). Is 2 a factor of y(-6)? True Let m = -11 - 0. Let c = 24 + m. Does 12 divide c? False Let q = -19 - -18. Suppose 30 = 5*d - k, -5*d + 30 = k - 0*k. Let n = q + d. Does 4 divide n? False Let r = -11 - -36. Is r a multiple of 12? False Let l(q) = q + 5. Let z be l(-4). Let w(x) = 23*x**2 - x. Does 11 divide w(z)? True Let h(p) = -p**3 + 6*p**2 + 2*p - 9. Let t be h(6). Let l = t + -2. Suppose -g = -l - 22. Does 21 divide g? False Suppose -5*a - 3*x + 23 = 0, x + 7 = -a + 3*a. Does 8 divide (10 - 0) + a + -6? True Suppose 3*k - 3*x + 8 = x, -4*x + 16 = -k. Suppose -5*q + 6 = -k, 0 = 2*a + 2*q - 76. Is a a multiple of 18? True Let d(l) = 52*l + 3. Is 18 a factor of d(2)? False Suppose 0 = 3*z + m - 671, z = -2*z - 2*m + 673. Is z a multiple of 25? False Suppose -w + 0*h - 5*h = 24, 4*w = 3*h + 19. Suppose 3*f - 5 = w. Suppose j + f*j = 45. Is j a multiple of 12? False Let u = -3 - -6. Let g be 1 + u - (10 + -7). Is 3 a factor of ((-6)/(-10))/(g/5)? True Suppose 98 = 3*f - 97. Suppose -5*x = -10 - f. Is x a multiple of 15? True Let w = 55 - 91. Let n = w + 68. Is 8 a factor of n? True Let h(l) = -l**2 - 30*l + 50. Does 32 divide h(-21)? False Let u(f) = -17*f. Is 28 a factor of u(-5)? False Suppose 0 = 6*t - 754 - 110. Does 24 divide t? True Let a(y) be the third derivative of -2*y**4 + 2*y**2. Let x be a(-2). Suppose -h + x = 3*h. Is 13 a factor of h? False Let a(t) = t**3 + 10*t**2 - t + 2. Let n be (-3)/((-4)/((-120)/9)). Does 7 divide a(n)? False Suppose 0 = -3*r + 3*p + 45, 2*p = -2*r + 9 + 17. Let u = r - 8. Is 6 a factor of u? True Let u = 37 + -12. Is 7 a factor of (-2)/(-2) + u/1? False Let k(y) = -y**3 + y + 4. Suppose -4*s = -12 + 32. Let j(t) = 2*t + 7. Let l be j(s). Does 14 divide k(l)? True Suppose -96 = -2*p - 2*p. Does 3 divide p? True Let z = -1 - -15. Is 4 a factor of z? False Is 24 a factor of (-4 - (-54)/15)*-240? True Let l(w) be the second derivative of -w**5/20 - w**4/6 + w**3/2 - 3*w**2/2 - w. Does 6 divide l(-4)? False Let a(j) = -3*j**3 + 2*j**2 + 2*j - 2. Suppose -5*v - 25 = -5*y, -4*y + 0*v - v + 15 = 0. Suppose y*g + 0*g - 12 = 0, 3*c = -2*g. Does 10 divide a(c)? False Let z be (-2)/((1/(-29))/1). Suppose -b + z = -0*b. Is b a multiple of 29? True Let c(p) = p**3 - 3*p**2 - 4*p + 2. Let w be c(4). Suppose 0 = -w*k - t - 4*t + 35, -5*t + 20 = -k. Suppose -k*h - 4 + 19 = 0. Is 3 a factor of h? True Suppose -w + 0*w = 5*t - 30, 2*t + 56 = 3*w. Does 12 divide ((-64)/w)/((-2)/15)? True Let r be 3 + 3*(-4)/3. Let n be 6 + (-3)/r + -6. Suppose 0*y - 3 = -y - 5*z, -4*z - 47 = -n*y. Does 10 divide y? False Suppose -3*t + 5*n + 72 + 18 = 0, -5*t - n = -178. Suppose 6*r = 11*r - t. Is r a multiple of 7? True Let s(q) = -4*q + 2. Suppose u + 0*u + 2 = 0. Let a be s(u). Suppose -2*h = -7*h + a. Is h even? True Let o(c) = 2*c**2 + 7*c + 11. Let u(x) = 5*x**2 + 15*x + 23. Let w(z) = 9*o(z) - 4*u(z). Let k be w(7). Does 17 divide 3/(-6) + k/(-4)? True Let b = 117 + -55. Let a = b - 8. Does 18 divide a? True Let i be (-3 - 9/(-2))*8. Let a = i + -2. Does 7 divide a? False Let i(q) = q + 1. Let u be i(3). Suppose u = -a + 14. Suppose -5*f = -3*w + 47, -f = 2*w + f - a. Does 6 divide w? False Let z = 21 - 11. Does 5 divide (-38)/z*-1*5? False Let y = -40 + 104. Suppose a = 40 + y. Does 28 divide a? False Suppose -3*n + 44 = -34. Does 39 divide ((-18)/(-1))/(4/n)? True Suppose -60 = -5*i + 20. Is i a multiple of 10? False Suppose 37*l = 38*l - 73. Does 4 divide l? False Suppose 717 = 13*c - 453. Does 36 divide c? False Let c be (-1 - -9)/((-2)/(-30)). Suppose -2*k - c = -4*k. Does 15 divide k? True Let l(x) = -x + 17. Is 5 a factor of l(12)? True Suppose -3*h - 4 = -7*h. Is 4 a factor of (1 + h)/(4/18)? False Let x(s) = 3*s + 26. Let a(b) = b. Let v(z) = -2*a(z) + x(z). Is 9 a factor of v(0)? False Let x(i) = -i**2 + 3*i + 2. Let z be x(3). Suppose -z*v = -v - 5*f - 17, 2*v - 29 = 5*f. Does 7 divide v? False Suppose j + 3*j - 48 = 0. Does 4 divide j? True Let p be 3/6*-2*-32. Suppose 3*q = -q - p. Is 17 a factor of ((-12)/2 - -1)*q? False Let r(f) = f**3 + 7*f**2 + 4*f - 7. Let o be r(-6). Let n = -4 + o. Suppose -v + 6 = n. Does 5 divide v? True Suppose m + 4 = 11. Suppose -m = -n + 23. Suppose -2*y - y = -n. Is 9 a factor of y? False Is 6/(-168)*-1436 - 2/7 a multiple of 17? True Let o(n) = 2*n**2 - n - 2. Let p = 9 + -15. Let b = p - -8. Is o(b) a multiple of 4? True Is (-1)/((-140)/(-145) + -1) a multiple of 5? False Suppose 9 = 4*f + c, -f + 3*c = 4*c - 6. Let y be f*(-1)/(-1)*5. Let j(k) = -k**3 + 8*k**2 - 3*k - 6. Is j(y) a multiple of 19? False Let s be (-8)/20 + (-44)/(-10). Suppose 0 = s*z - 207 + 39. Is z a multiple of 14? True Suppose 12 = p + 2*p. Let z = p + 13. Is 10 a factor of z? False Suppose 2*q - 4*q + 4 = 0. Is 14 a factor of 41 + 15 + (-8)/q? False Suppose 2*f - 3*q = -3*f + 264, 4*f = 3*q + 210. Suppose -4*x + 174 = f. Does 15 divide x? True Suppose 2*g - 4*g + 8 = 0. Suppose g*y = 2*y + 36. Is y a multiple of 10? False Let u(h) = 4*h**2 - h - 14. Is 35 a factor of u(7)? True Suppose -5*n - 5*j = -335, -3*j - 205 = -3*n - 2*j. Is 17 a factor of n? True Suppose 0 = 4*c - 9 - 3. Suppose -45 = -c*w - 15. Does 10 divide w? True Let z = 67 + -2. Does 11 divide z? False Let s(n) = -4*n + 2. Let p be s(-5). Let t = 36 + -19. Suppose -3*f + p = -t. Does 7 divide f? False Let t be (52/12)/((-3)/(-81)). Is 13 a factor of (2 - 3)/((-3)/t)? True Let p(k) be the second derivative of k**5/20 - k**3/6 + 5*k**2/2 + 9*k. Does 16 divide p(4)? False Suppose -4*p + 212 = 5*o - o, p = -1. Is 20 a factor of o? False Let i(n) = -n**3 + 5*n**2 + 4*n - 2. Let b be -5 - -3 - (-6)/1. Is 10 a factor of i(b)? True Suppose -c + 4*j - 2 = -74, c - 3*j = 77. Is 16 a factor of c? False Suppose -3*y - y = -24. Let u(n) = n**3 - 6*n**2 + 2*n + 8. Let b be u(y). Let d = b + -8. Is 12 a factor of d? True Suppose 2*u = 3*d + 5, 0*d - 13 = -3*u - d. Suppose -5*q - 3*k = -k - 33, 4*k + 4 = u*q. Is q a multiple of 5? True Is (-2)/(-22) + 15395/55 a multiple of 12? False Let c = 0 + -9. Let p be -10*(-2)/((-30)/c). Let l = 21 + p. Does 14 divide l? False Let t(o) = -o - 5. Let c be t(-7). Suppose -4*h = -5*v + 15, -5*v + h - c*h = -40. Let w(u) = u**2 - u. Does 21 divide w(v)? True Let x = 0 - -3. Suppose x*o = -i + 66, o + 2*i = 20 - 3. Does 6 divide o? False Let v = 18 - 5. Is v a multiple of 13? True Is 174/(-4)*((-16)/12 - 0) a multiple of 29? True Let y be ((-6)/(-4))/(-3)*-10. Suppose -y*u + 2*x = -3*u + 4, 0 = 2*u - x + 2. Suppose 4*z = -u*z + 48. Is z a multiple of 10? False Suppose 4*d - 2*o - 218 = 0, 3*d - 3*o - 7 = 152. Does 28 divide d? True Is 149 + (1 - (-3 + 1)) a multiple of 19? True Suppose -3*r - 5*j - 75 + 9 = 0, -j - 44 = 2*r. Let c = r + 36. Does 7 divide c? True Let j(p) = -p + 11. Let v(r) = r - 10. Let w(b) = -3*j(b) - 2*v(b). Let d be w(7). Does 13 divide d/(-9)*21 - 1? True Suppose -5*r + 6 = -3*r, -5*r + 11 = -c. Let p = c + -6. Is 14 a factor of (-3)/p*(-28)/(-3)? True Suppose 6 = y - 9. Does 3 divide y? True Let i = 39 - 26. Is i a multiple of 3? False Let g be (-3)/6*1*-4. Suppose 37 = g*m - 3. Is 6 a factor of m? False Suppose 64 = q + q. Is q a multiple of 16? True Let b = 2 - -25. Is b a multiple of 16? False Suppose -8*x + 30 = -3*x. Let m be 3 - (4 + x/(-2)). Suppose -m - 5 = -y. Is 2 a factor of y? False Let l(f) = 8*f. Let d be l(1). Let h = 13 - d. Suppose u - a + 4*a - 24 = 0, 2*u = -h*a + 43. Does 9 divide u? True Let b(j) = j**3 - 8*j**2 + 3*j + 3. Let v be 2 - (-5 + 2)*2. Is 27 a factor of b(v)? True Suppose -2*x - 3 = -g, -2*x - 20 = -4*g - 2. Suppose -g*l = -25, -t - 2*l = 2*l - 30. Does 5 divide t? True Suppose -5*y + 29 = 3*h - h, -3*y = h - 17. Suppose -3*f + 20 = h*f. Is 4 a factor of f? True Suppose 2*q + 1 = s - 10, -4*s = 2*q - 34. Suppose 2*
{ "pile_set_name": "DM Mathematics" }
= -4*z - 5*u. Which is greater: z or 20? 20 Let d = -1762 + 17617/10. Let v = -0.16 + 12.16. Which is smaller: d or v? d Suppose 38*o - 147 = 3539. Is 52 greater than o? False Let y = -302 - -351. Let o be ((-74)/8 - -3)*-8. Does y = o? False Let v(b) = -b**3 + 15*b**2 + 71*b + 267. Let l be v(15). Do l and 1337 have the same value? False Let m = -85311 + 9298975/109. Is m < -1? False Let i = 6562797065878/555 + -4011187833585044713/339216555. Let v = 1/107859 - i. Let k = v - -872. Which is greater: -0.1 or k? -0.1 Let r(f) = f**2 + 11*f + 24. Let p(x) = -x**2 - 6*x - 12. Let g(j) = -5*p(j) - 3*r(j). Let k be g(4). Suppose a - 54 = -k*a. Is a smaller than 1/5? False Suppose -p - 168 = -4*r, -602 = -370*p + 374*p - 2*r. Which is smaller: p or -1632/11? -1632/11 Let t = -47.21 + 45.11. Which is smaller: 121 or t? t Let q(d) = 248*d**3 + 9*d + 18. Let x be q(-2). Which is smaller: x or -1986? -1986 Let a be 1/(40/16)*5/(-3056). Which is smaller: a or 1? a Let r = 104 + -58. Suppose 0 = 4*k - 0*k - 12. Let t be (2/3)/(2/432*k). Is r != t? True Let u = 211.8 + -126.6. Which is smaller: -4 or u? -4 Suppose 0*d + 2*d - 8 = 0. Suppose -i + s = -4 - 4, 5*i - d = -4*s. Suppose 2*t - 2*o + 4 = 0, -i*t - 7*o + 6*o = 8. Is t >= -5/9? False Let b be (-18)/4*((-3359846)/(-81942) + -41). Is 0 at most as big as b? False Let f be (2/17 + 47/34)*20. Let n be (36/f)/((-2)/115). Is -69 < n? False Suppose -17*r = 3199 + 1034. Let j = r + 357. Which is smaller: j or 110? j Suppose -5*v + 2240 + 3560 = 0. Let s = v - 1675. Let x = s - -5659/11. Which is smaller: -2 or x? -2 Let q = 3 - 4. Suppose 0 = -t - 271 + 87. Is q less than or equal to t? False Let c(y) = -y - 1. Let j(v) = -152*v**2 + 5*v + 4. Let b(w) = -5*c(w) - j(w). Let m be b(-1). Let s be m/27*3*-1. Which is smaller: s or -18? -18 Let p be (12/144)/((-76)/(-2102096)). Let q = p - 2305. Are q and -1 equal? False Let c(n) = 5*n**3 - 23*n**2 + 13*n - 2. Let u be c(4). Is u at least 79/60? True Let f = -659 - -284. Let r = f + 186. Is r greater than or equal to -189? True Let n be (-6)/(-4)*4/42. Let m be ((-4)/6)/(4/(-624)*1). Let h = 103 - m. Is n greater than or equal to h? True Suppose -143*z - 136214 = 65273. Which is smaller: -1395 or z? z Let x = 39 + -234. Let c = x - -176. Is c bigger than -20? True Suppose 5112*f + 13 = 5099*f. Which is smaller: f or 3/818? f Let o be ((-2)/(-7))/((-3)/133)*-3. Let z be ((-3)/(-2))/(2/12). Suppose z*s = -128 + o. Is -9 less than or equal to s? False Let c = -44 + 50. Let x be c/(-4)*5696/(-960). Do 10 and x have different values? True Suppose -4*z + 705 = -2339. Suppose 30*h - 109 - z = 0. Is h at most 29? True Suppose 51*o = 27*o + 80376. Which is smaller: o or 3350? o Let h(l) = -10*l**3 - 6*l**2 + 14*l + 58. Let y be h(-3). Which is greater: y or -4/15? y Let c = -40 + 25. Let f be (13 - 6)/(c/(-16) + -1). Let b = 113 + f. Which is greater: -2.2 or b? b Suppose 5*a = -3*w - 1042, -2*a + 3*w + 82 - 524 = 0. Is a greater than -204? False Suppose -31*i + 32*i + 12 = 0. Let g be (-26)/76 - 6/i. Which is smaller: 0 or g? 0 Suppose -5*s - 1432 = -2*x, 33*x - 29*x - 1148 = 4*s. Let u be (-4)/(-6) - 76/6. Let p be (s/(-65) - 6/(-10))/u. Do p and 0 have different values? True Let c = 1795 - 1790. Let z = 4 + -4. Suppose -5*x + 0 - c = z. Which is bigger: -4 or x? x Let y = 16.19 - 11.19. Let p be (-12)/15 - (-1008)/910. Is y greater than p? True Let a(o) be the first derivative of 2*o + 4 - 1/3*o**3 - 1/2*o**4 + 0*o**2. Let z be a(1). Is z at least 9/19? False Suppose 5*l = -25, -285 = -3*u + 3*l - 0*l. Suppose -u = 2*q + 152. Is q less than or equal to -119? True Let z be ((-11)/(11/10))/((-4)/(-390)). Let h be (8/(-3))/(5/(z/(-10))). Let o = h + 53. Is -33 at most as big as o? True Let s be -3 - -191 - ((-195)/325 - 84/10). Let i be 4*49 - 2/(-2). Do s and i have different values? False Let p = 59.39 - -2657.61. Which is smaller: p or -1/3? -1/3 Let o = 8640 - 8641.7463. Let g = 0.0537 - o. Is -1.3 >= g? False Let d(s) = 1686*s + 11825. Let f be d(-7). Which is smaller: 690/29 or f? f Let h be ((-1656)/90)/(36/888*8/30). Is -1703 < h? True Let x(o) = -14*o - 54. Let h(j) = 7*j + 27. Let c(z) = 7*h(z) + 4*x(z). Let y be c(-6). Let r be 1/(-3) - y/54*-3. Which is smaller: r or 1? r Suppose v + 128*i = 130*i - 13, -v - 3*i = -22. Which is smaller: -1/1331 or v? -1/1331 Let i = -28462 + 28425. Which is bigger: i or -1118/31? -1118/31 Let t(n) = -n + 23. Let s be t(8). Let m be 1*(-2)/s - 1173/(-1035). Which is bigger: m or 17/10? 17/10 Let u be (-876)/(-144) + -6 - (-10075)/(-119460). Is 0 at least as big as u? True Let m(t) = -3*t + 11. Let l be m(10). Let n be 8/(8/l)*-1. Is 1 at most n? True Let m be (1064/(-6))/4 + 25/75. Let c be (1/2 + 1)*m. Is -65 not equal to c? True Let x(s) = -17*s**2 + 260*s + 2392. Let d(c) = -3*c**2 + 52*c + 478. Let t(z) = 11*d(z) - 2*x(z). Let i be t(-13). Which is greater: -22 or i? -22 Let v = -51 - -181/2. Let d(t) = 3*t**2 - 154*t + 2010. Let n be d(27). Is v bigger than n? True Let j be 2*4/4*29. Let v be (-5 - j/(-12))*0. Which is greater: v or 2/33? 2/33 Let d = -0.15394 - -0.05394. Do d and -66 have different values? True Let l(r) be the second derivative of r**5/20 + r**4/4 - r**3 - 5*r**2 + 8*r. Let g be l(-4). Which is bigger: g or 0.062? 0.062 Let d(z) = 29*z - 617. Let i be d(22). Suppose 15 = 5*t - 60. Is i > t? True Let n = 65 + -62. Let q be n/((-79731)/(-159480)) - 6/1. Does 1 = q? False Let o = 13183 + 5346. Which is greater: o or 0.1? o Let u be 24 - 0*(-2)/6. Let q(z) = 35*z - 54. Let i be q(-10). Let r = i - -425. Is r equal to u? False Let y = -21064 + 399981/19. Which is smaller: y or -1? y Let a be (-9)/(-45) + (-1)/5. Suppose a = 10*l - 14*l. Let j = 5/57 - 212/1767. Which is smaller: j or l? j Let p = 519 + -518. Let q = 29.3 - -167.7. Is q greater than p? True Let o = 3275 + -1419. Is -1 greater than o? False Suppose -116 = 4*g - 2*g. Let v = 30 + g. Let f = v - -6. Is f at least as big as -23? True Let i(k) be the first derivative of k**2/2 + 25*k - 23. Let s be i(-23). Suppose -8*z + 38 = -s. Which is greater: z or 0? z Let z(x) = x**3 - 9*x**2 + x - 5. Let h be z(9). Suppose 3*p - 4 = h*b, -4*p + 4 = -3*p. Let n be 49/49 - (-1)/(-10). Which is smaller: b or n? n Suppose 2*k - 2*m - 138 = k, 3*m = -2*k + 262. Let b = k + -73. Is b less than 0? False Let w = 340.09958 - -0.00042. Are 2 and w equal? False Let o(t) = -9*t + 29. Let l be o(9). Let v be l/13 - (-2)/((-6)/(-225)). Let c = -134 + 205. Is c equal to v? True Let d be (-12)/(-14)*(-49)/7. Let q be (d/16)/((-144)/(-64)). Let u = 1.226 - 1.326. Which is bigger: q or u? u Let f = 491 - 722. Let o = f - -289. Is 58 greater than or equal to o? True Suppose 11*w - 1657 - 1324 = 0. Suppose 6*i - 23 = w. Suppose p = 137 - i. Are p and 89 equal? False Suppose -322 - 682 = s. Let y = -3745854/17 + 219340. Let g = y - s. Is 2/9 >= g? True Let i be (4 + 94 + 4)*(-7)/(-91). Let d = i - 4985/637. Is -1 at least d? False Let f(o) = -4*o + 19. Let q be 29*(-4 + 3)*1*-1. Let i be f(q). Let c = -75 - i. Are 22 and c non-equal? False Let d = -49097 + 32137. Which is smaller: -16962 or d? -16962 Let i = 96 + -77. Let k(x) = x**3 - 20*x**2 + 19*x. Let s be k(i). Let t be 3/((-6)/4*-17). Which is smaller: t or s? s Let u(i) = -i**2 + 3*i. Let m be u(3). Suppose -2*b + 0*b + z + 25 = m, 80 = 4*b + 4*z. Let y = 244088 + -244075. Are b and y unequal? True Let b(s) = -2*s - 66. Let c be b(-24). Let o(a) = 10*a + 71. Let q be o(c). Which is smaller: q or -106? q Let y = -0.06 - 0.22. Let z = 23151/119 + -1361/7. Which is smaller: y or z? y Let f be (-4)/(-24) + 154870/(-20) - 4/6. Which is smaller: f or -7743? f Let a = 95 + -7. Let m = a - 86. Is 74 greater than or equal to m? True Suppose 2*j - 5 = -s + 11, -s + 34 = 5*j. Suppose c - j = -10. Let y be (2 + -1 + 1)*(-10)/c. Which is smaller: 2 or y? 2 Let v be (0 - 1)/2*-58. Let a = -102006 + 102041. Which is smaller: a or v? v Let s(r) = -13*r**2 - 149*r - 41. Let f be s(-11). Let b be (-1)/5*485/(-4). Is f < b? False Let d = -0.047 + -8.503. Let j = d - -8.5. Which is smaller: j or -1.3? -1.3 Suppose -929 = -7*v + 135. Let m = 154 - v. Which is smaller: -1 or m? -1 Let m = -115313/63 + 15428/9. Is -115 at most as big as m?
{ "pile_set_name": "DM Mathematics" }
ces. -0.007 Let m(y) = -6800000*y. Let l(o) = o - 6. Let p be l(5). Let t be m(p). What is t rounded to the nearest 1000000? 7000000 Let v = -453.7 - -433. What is v rounded to the nearest ten? -20 Let o = -111053736 + 111053758.9999954. Let d = -23 + o. Round d to 6 decimal places. -0.000005 Let m = -50 - -50.000092. What is m rounded to five dps? 0.00009 Let f = 5 - 3. Suppose -2*q - 9225 = q + 3*c, -5*c - 6135 = f*q. Let k = q + -3520. What is k rounded to the nearest 1000? -7000 Let d = 4.1 + -1.2. Round d to 0 decimal places. 3 Let m = 14142 - 32175. Let x = 11733 + m. What is x rounded to the nearest 1000? -6000 Let d = 21.2 - 21.2188. What is d rounded to three dps? -0.019 Let b = -6063987 + 6063981.9999906. Let o = -5 - b. What is o rounded to 6 decimal places? 0.000009 Let j = -1.799988 - -1.8. Round j to five dps. 0.00001 Let v = -24.2 - -23.11. Let p = v - -0.78. Let j = -0.363 - p. What is j rounded to 2 dps? -0.05 Let v = 322 + -321.99718. What is v rounded to four dps? 0.0028 Let g = 20.989 - 21. Let k = g - 30.989. Let r = k + 30.999884. Round r to five decimal places. -0.00012 Let k(t) = 2*t**2 - 3*t + 17. Let d be k(-5). What is d rounded to the nearest ten? 80 Let k = 7 + 4. Let p = k - 10.999962. What is p rounded to 5 decimal places? 0.00004 Let q = 0.05465 - -482.06535. Let y = -525.079 + q. Let p = 43 + y. What is p rounded to 2 decimal places? 0.04 Let i = 0.1 + -0.34. Round i to one dp. -0.2 Let d = -3 + 2.98. Let m = 0 + d. Let p = m - 0.51. Round p to one dp. -0.5 Let i = 0.017999355 - 0.018. Round i to seven decimal places. -0.0000006 Let d = 1039 + -1539. Let v = 499.9498 + d. Let k = v - -0.07. Round k to three decimal places. 0.02 Let c = 11.5236 - 14.121. Let t = c - -2.6. What is t rounded to three decimal places? 0.003 Let h = 444718 + -706718. Round h to the nearest ten thousand. -260000 Suppose -6*d + 4365 - 502365 = 0. Round d to the nearest ten thousand. -80000 Let b = -24983 - 6917. Round b to the nearest ten thousand. -30000 Let c = -878.10008 + 878. Let o = 1.5 + -1.6. Let x = c - o. Round x to four decimal places. -0.0001 Let s = -12.3 - 0.4. Round s to 0 decimal places. -13 Let m = 0.1 + -6.6. Let p = m - -5. Let y = -1.556 - p. What is y rounded to 2 decimal places? -0.06 Let z = -4 + 2.11. What is z rounded to one decimal place? -1.9 Suppose -5*s = 3*d + 60605, 4*d + 5*s = -19176 - 61639. Let m = d + 36210. Round m to the nearest one thousand. 16000 Let w = 25.000044 + -25. Round w to 5 decimal places. 0.00004 Let a = 4.4 - 4.399511. What is a rounded to five dps? 0.00049 Let t(p) = 57999*p**2 + 6*p - 5. Let i be t(5). Round i to the nearest 100000. 1500000 Let p = 2917907977.1 - 2917973099.172074. Let j = 65122 + p. Let r = 0.072 + j. What is r rounded to five dps? -0.00007 Suppose -2*b = -j + 7 + 3, -j - b = 2. Suppose j*t - 4*t = 200000. What is t rounded to the nearest 1000000? 0 Let h = 2.069769 - 131.061869. Let j = -312 + 441. Let p = h + j. Round p to 3 decimal places. 0.008 Let v = 1064.9999573 + -1065. What is v rounded to 6 decimal places? -0.000043 Let y(x) = x**2 + 9*x. Let f be y(-5). Let i be f/90 + (-19076)/18. Round i to the nearest one hundred. -1100 Let o be (20/(-15))/(2/9). Let r = -3 - o. Suppose r*s - 4*j = -s + 21220, 5*j = 2*s - 10625. Round s to the nearest one thousand. 5000 Let h be 1 - -2 - 75 - -2. Round h to the nearest one hundred. -100 Let f = -12.915429 - -12.35534. Let c = f - -0.56. Round c to five decimal places. -0.00009 Let g be 8750/(2 + (-13443)/6720). Round g to the nearest one million. -20000000 Let l(b) = -147*b**3 - 4*b**2 - 4*b. Let h(f) = 293*f**3 + 9*f**2 + 8*f. Let j(w) = -3*h(w) - 7*l(w). Let c be j(-4). Round c to the nearest 1000. -10000 Let j(d) = d - 2. Let r be j(6). Let b be (-30)/r*(5599 - -1). What is b rounded to the nearest ten thousand? -40000 Let p = -26.956 + -0.044. Let m = -46 - p. Let j = m + 26.2. What is j rounded to 0 decimal places? 7 Let a = -19 - -18.99936. What is a rounded to 4 dps? -0.0006 Let p = -13.5 - -14. Let o = p + -0.500007. Round o to 5 dps. -0.00001 Let y be 6/8 + (-5)/(-4). Let p be 5123*y/4*2. Suppose w - p = 3177. Round w to the nearest 1000. 8000 Let m(d) = -1090*d**3 + 2*d + 2. Let b be m(-1). Round b to the nearest one hundred. 1100 Let f = -9.085 + 9. Let p = 68.085 + f. Let m = p - 62.4. What is m rounded to zero decimal places? 6 Let c be (-5 - -4) + (-6305172)/(-3). Let b = 4701723 - c. Round b to the nearest one million. 3000000 Suppose 2*g + 5981 + 29537 = 0. Let m = g + -132241. Round m to the nearest ten thousand. -150000 Let j = -11.2569 - 0.0831. Let a = 28 - 40. Let s = a - j. Round s to one decimal place. -0.7 Suppose 2*q = -7 + 17, 3*l + q = 13710005. What is l rounded to the nearest 1000000? 5000000 Let d = -0.8 + 0.799974. What is d rounded to five decimal places? -0.00003 Let d = -0.11 - -0.41. Let b = d + -1.8. Round b to zero decimal places. -2 Suppose -4*z = -4*g - 24 + 8, 5*g - 8 = z. Let l be 1052/z + 4/(-14). What is l rounded to the nearest 100? 200 Let u(r) = 183*r**2 - 21*r + 26. Let y be u(-11). Round y to the nearest 1000. 22000 Let z = 0.03 + -18.03. Let u = z + 18.0000046. What is u rounded to six dps? 0.000005 Let n = 145129 + 93871. Round n to the nearest 10000. 240000 Let f = -83.842 - -84. Let a = 52 + -51.953. Let h = a + f. What is h rounded to 2 dps? 0.21 Let a = -1.2641 - 61.3659. Let x = 55.2 - -6.8. Let d = x + a. What is d rounded to 1 dp? -0.6 Suppose 0*i = -5*i + 150. Let n be i*(-2 - 5105/(-3)). Suppose -4*q - 50992 = z, -z - 4*q = q + n. Round z to the nearest ten thousand. -50000 Let g be (-38)/(-14) + 20/70. Let f = 6 - 3. Suppose 3*b + 396 = f*q, -g*q - b + 201 = -199. Round q to the nearest 10. 130 Suppose 3*n - 93900006 = -0*j - 3*j, -31299992 = -j + 4*n. Round j to the nearest 1000000. 31000000 Let f = 1717168732.0000047 + -1717168615. Let c = 114.13 + 2.87. Let d = c - f. Round d to six decimal places. -0.000005 Let m be 2 + (2 - 3) - -1*739. Let u(z) = z**2 + 4*z + 6. Let w be u(-4). Suppose -4*v = -w*v + m. Round v to the nearest one hundred. 400 Let u = -7 + 6.98. Let y = 0.019949 + u. What is y rounded to five dps? -0.00005 Let c = 9 + -6. Suppose 0 = -2*z + 3*z + 5*k - 1900005, -2*z + 3799997 = -c*k. Round z to the nearest one million. 2000000 Let r be (4 + -3 + 93)*(-3 - 17). What is r rounded to the nearest 100? -1900 Let i = -11.418413 + 12.01841. Let u = i + -0.6. What is u rounded to six dps? -0.000003 Let l = -0.136 + 0.1679. Let s = 33 + -33.037. Let v = l + s. Round v to 3 dps. -0.005 Let p = -7 + -43. Let s = p - -83. Let j = 35.8 - s. What is j rounded to 0 dps? 3 Let j = -0.08 - -0.03. Let k = 0.91 - j. Let h = k + -0.29. Round h to one dp. 0.7 Let z = -8485.003 + 8479. Let l = -0.69 + 6.69. Let j = l + z. Round j to two dps. 0 Let k be 1 + (-1 - 0) + 1 - -24499999. Round k to the nearest one million. 25000000 Let x = 1703161.77001 + -1702870. Let q = x + -291.37000989. Let u = q - 0.4. Round u to seven decimal places. 0.0000001 Let c = -20.9 + 18.97. Let r = 6.04 + c. Let h = r + -0.81. What is h rounded to zero dps? 3 Let j = -0.22 + 15.72. Let r = 151 + -142.9. Let w = r - j. What is w rounded to 0 dps? -7 Suppose 75*m - 33000 = 72*m. What is m rounded to the nearest ten thousand? 10000 Let f = 127689 + 133311. What is f rounded to the nearest 10000? 260000 Let g = -17.2861 + -1.7359. Let y = -19 - g. Round y to 2 dps. 0.02 Suppose -5 = -2*y - l + 2*l, -6 = 2*l. Let f be 162/(-4)*-20 + y. Suppose f = -4*z + 4011. Round z to the nearest one thousand. 1000 Let i = -44 + 43.99949. Round i to four decimal places. -0.0005 Let z(j) = -255968*j**3 + 2*j**2 + 5*j + 5. Let w be z(-2). Let b be 3143240/(-3) - 3/9. Let c = w + b. Round c to the nearest 1000000. 1000000 Let r = 5096621.000012 - 5096607. Let m = 14 - r. What is m rounded to five decimal places? -0.00001 Let c(w) be the first derivative of -9*w + 1 + 5*w - 2 + 33333*w**2. Let i be c(-6). Round i to the nearest 1000000. 0 Let v = 452.99999813 + -453. What is v rounded to seven dps? -0.0000019 Let f = 194.38497112 + -90.38497063. Let n = f + -104. Round n to 7 decimal places. 0.0000005 Let t = 67 - 8. What is t rounded to the nearest 10? 60 Let n = 34 + -137. Let c = n - -93.6. What is
{ "pile_set_name": "DM Mathematics" }
1, a: 1, h: 5}. 5/3876 Two letters picked without replacement from pff. What is prob of picking 1 p and 1 f? 2/3 Calculate prob of picking 2 v when two letters picked without replacement from {v: 1, a: 1, g: 3, k: 10}. 0 Calculate prob of picking 2 p and 1 e when three letters picked without replacement from peyp. 1/4 What is prob of picking 3 o when three letters picked without replacement from eeoeooooooeeoeoeeeoe? 2/19 What is prob of picking 2 k when two letters picked without replacement from {k: 3, c: 2}? 3/10 What is prob of picking 1 g and 1 x when two letters picked without replacement from {x: 11, g: 2}? 11/39 Calculate prob of picking 1 l, 1 a, 1 c, and 1 q when four letters picked without replacement from abllpqc. 2/35 Three letters picked without replacement from {z: 2, m: 9}. What is prob of picking 2 m and 1 z? 24/55 Two letters picked without replacement from auaaidmdaiij. Give prob of picking 1 u and 1 m. 1/66 Two letters picked without replacement from {j: 2, d: 3, i: 5, e: 2}. Give prob of picking 2 i. 5/33 What is prob of picking 2 y when two letters picked without replacement from yyu? 1/3 Four letters picked without replacement from jjrjjrjbrlrjf. What is prob of picking 1 j, 1 l, 1 b, and 1 r? 24/715 What is prob of picking 2 x and 2 q when four letters picked without replacement from qxqxxxqxxx? 3/10 Calculate prob of picking 1 u and 1 m when two letters picked without replacement from {m: 13, u: 3}. 13/40 Calculate prob of picking 1 v and 2 a when three letters picked without replacement from ffadqaqnafva. 3/110 What is prob of picking 1 s and 2 v when three letters picked without replacement from dddsssdsvdddvvds? 3/112 Two letters picked without replacement from tttttttptttttttttpt. Give prob of picking 2 t. 136/171 Calculate prob of picking 2 x and 1 d when three letters picked without replacement from {x: 12, d: 7}. 154/323 Four letters picked without replacement from {h: 1, r: 2, x: 1, c: 1, n: 1, j: 2}. Give prob of picking 2 j, 1 r, and 1 x. 1/35 Calculate prob of picking 2 m and 1 v when three letters picked without replacement from {v: 1, m: 12}. 3/13 Three letters picked without replacement from {b: 2, s: 9}. Give prob of picking 3 s. 28/55 Two letters picked without replacement from jjryjyryj. What is prob of picking 2 j? 1/6 What is prob of picking 1 j and 2 t when three letters picked without replacement from {j: 3, t: 4}? 18/35 Two letters picked without replacement from {p: 1, i: 2, k: 1, g: 1}. Give prob of picking 1 i and 1 g. 1/5 Calculate prob of picking 1 b, 1 l, and 1 y when three letters picked without replacement from ybyyhyyyyybyllyy. 11/140 What is prob of picking 1 g, 1 n, and 1 f when three letters picked without replacement from fbfng? 1/5 Calculate prob of picking 2 g and 2 m when four letters picked without replacement from mmmmggmmmgmm. 12/55 Calculate prob of picking 1 t, 1 v, and 2 m when four letters picked without replacement from taramravtfrttattramt. 7/4845 What is prob of picking 1 v, 1 q, and 1 r when three letters picked without replacement from {q: 4, j: 2, e: 2, r: 6, d: 1, v: 2}? 6/85 Calculate prob of picking 1 c and 3 p when four letters picked without replacement from {p: 12, c: 2, s: 5}. 110/969 Calculate prob of picking 2 m when two letters picked without replacement from qpmpqpsmpmmmqsmmp. 21/136 Four letters picked without replacement from {k: 15, b: 5}. Give prob of picking 1 b and 3 k. 455/969 Calculate prob of picking 2 j, 1 z, and 1 b when four letters picked without replacement from jbjzbzbbbjbzzzj. 12/91 Three letters picked without replacement from iiiidmmommoimmmiiido. What is prob of picking 2 i and 1 d? 14/285 Two letters picked without replacement from {q: 1, m: 1, e: 1}. What is prob of picking 1 q and 1 m? 1/3 What is prob of picking 1 y, 1 o, and 1 m when three letters picked without replacement from maolaymmaqaymma? 2/91 Calculate prob of picking 2 j when two letters picked without replacement from jjjnjnjjjjjjnjjj. 13/20 What is prob of picking 2 x and 2 w when four letters picked without replacement from xxwxxwx? 2/7 Calculate prob of picking 1 y and 1 g when two letters picked without replacement from {i: 1, g: 3, y: 3, t: 1, x: 6, a: 1}. 3/35 Four letters picked without replacement from zzzzoooooooz. Give prob of picking 2 o and 2 z. 14/33 Four letters picked without replacement from {y: 3, o: 7}. What is prob of picking 4 o? 1/6 What is prob of picking 2 f when two letters picked without replacement from xfsxsmxnffxsmsnm? 1/40 Three letters picked without replacement from {l: 3, y: 5, s: 1}. Give prob of picking 1 y, 1 s, and 1 l. 5/28 Four letters picked without replacement from liiffffif. Give prob of picking 1 i and 3 f. 5/21 What is prob of picking 1 q and 2 z when three letters picked without replacement from {q: 3, z: 7}? 21/40 What is prob of picking 1 u, 1 j, and 2 l when four letters picked without replacement from uujlujlujuujululjjjm? 112/1615 Calculate prob of picking 2 h and 1 k when three letters picked without replacement from hkhhhk. 3/5 Two letters picked without replacement from {o: 4, v: 5, s: 2, q: 4, w: 1}. Give prob of picking 2 q. 1/20 What is prob of picking 2 d, 1 t, and 1 c when four letters picked without replacement from ttdddtttdcttd? 14/143 What is prob of picking 1 m and 1 j when two letters picked without replacement from sspjzspspzm? 1/55 Calculate prob of picking 1 k and 1 j when two letters picked without replacement from {z: 4, f: 4, v: 1, k: 1, j: 3}. 1/26 What is prob of picking 1 g and 1 q when two letters picked without replacement from {q: 5, g: 2}? 10/21 What is prob of picking 2 i and 2 k when four letters picked without replacement from iqikk? 1/5 Calculate prob of picking 3 q when three letters picked without replacement from afjfjq. 0 Four letters picked without replacement from rnnpqnnnpnnknnnpnr. Give prob of picking 1 k and 3 p. 1/3060 What is prob of picking 1 x, 1 j, and 2 d when four letters picked without replacement from {j: 1, d: 2, t: 7, z: 2, x: 4}? 1/455 Three letters picked without replacement from {c: 10, h: 2}. What is prob of picking 2 c and 1 h? 9/22 What is prob of picking 3 h when three letters picked without replacement from {s: 2, h: 9, w: 2}? 42/143 Calculate prob of picking 3 u when three letters picked without replacement from iiiiiiuiuiiiuu. 1/91 What is prob of picking 3 t when three letters picked without replacement from {t: 13, d: 3}? 143/280 Calculate prob of picking 1 v and 1 n when two letters picked without replacement from tninznznvznvvn. 18/91 Three letters picked without replacement from urrnlnnlllnlrulll. What is prob of picking 1 n and 2 r? 3/170 What is prob of picking 1 v and 1 g when two letters picked without replacement from tvogw? 1/10 Two letters picked without replacement from tbbtbngbththtmhbhnh. Give prob of picking 1 m and 1 n. 2/171 What is prob of picking 2 z when two letters picked without replacement from zzzzzzzzzzszzzszsz? 35/51 Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tiq. 1/3 What is prob of picking 1 r and 2 g when three letters picked without replacement from rgrg? 1/2 Four letters picked without replacement from rkeirrfreripfeirerri. What is prob of picking 2 i and 2 r? 56/1615 Calculate prob of picking 1 m, 1 b, and 2 y when four letters picked without replacement from mymgmebyybyn. 4/55 Calculate prob of picking 2 k and 1 v when three letters picked without replacement from {k: 5, v: 7}. 7/22 Calculate prob of picking 1 i, 1 t, and 1 h when three letters picked without replacement from {i: 2, e: 1, t: 7, h: 8}. 7/51 Two letters picked without replacement from hlznllmlm. What is prob of picking 1 z and 1 h? 1/36 What is prob of picking 1 o and 1 x when two letters picked without replacement from {o: 1, c: 1, x: 1}? 1/3 Calculate prob of picking 2 l and 1 q when three letters picked without replacement from {x: 2, d: 3, j: 1, q: 1, l: 3}. 1/40 What is prob of picking 1 j, 1 e, 1 s, and 1 u when four letters picked without replacement from ejeeeujukeuujuejsu? 4/85 What is prob of picking 2 r when two letters picked without replacement from edgregeecdercregrr? 10/153 What is prob of picking 1 v and
{ "pile_set_name": "DM Mathematics" }
3018/7 + (-16)/y + 1 is divided by 8. 7 What is the remainder when 285 is divided by (234/(-4))/(0/(-34) + 6/(-4))? 12 Let q(k) = 2*k**3 - 5*k**2 + 13*k - 36. Suppose 4*g - 13 = 43. Suppose -4*f = 6 + g, 3*b = f + 56. What is the remainder when q(4) is divided by b? 13 Let a = -1376 - -2081. Suppose 2*n - a = -v, 3*n - 2*v = -3*v + 1057. Suppose -10*r - n = -1362. Calculate the remainder when r is divided by 15. 11 Let j(c) = 30*c**2 - 35*c - 33. Calculate the remainder when 217 is divided by j(-1). 25 Let z(s) = 3*s**2 + 24*s + 46. What is the remainder when z(-13) is divided by 7? 3 Suppose 8 = 3*r + h, r = -5*h + 8*h - 4. Let g(d) = 7*d**2 + 9*d - 17. Calculate the remainder when g(r) is divided by 15. 14 Let q be -1 + (3 - (0 - (8 + -4))). Let w = q + -1. Suppose 141 + 159 = w*v. Calculate the remainder when v is divided by 17. 9 Let u = -2547 - -2566. What is the remainder when 33 is divided by u? 14 Suppose 0 = -2*q + 4*w + 152, -7*q + 3*q = -3*w - 284. Suppose 4*t - 65 = -21. Suppose -g = -3 - t. Calculate the remainder when q is divided by g. 12 Suppose -320 = -97*d + 92*d. What is the remainder when 8224/d + 2/4 is divided by 22? 19 Let n(d) = -108*d - 4. Let c be n(1). Let h = -160 - c. What is the remainder when 28 is divided by (h/(-2))/2 - 4? 4 Suppose 46*v - 11*v - 9*v - 4810 = 0. What is the remainder when 964 is divided by v? 39 Let t(v) = v - 28. Let z be t(19). Let g = z - -13. Suppose 5*o = g*o + 3. Calculate the remainder when 8 is divided by o. 2 Let b be -1 + ((2/(-2))/(-1) - 99). Let c = b + 132. Let o = -33 - -39. Calculate the remainder when c is divided by o. 3 Suppose 20*p = 8*p + 36. Let l(z) = -z + 10. Calculate the remainder when (-3 + -3)*-5*1/p is divided by l(5). 0 Let z = 27554 - 25408. What is the remainder when z is divided by 240? 226 Let i(o) = -151*o + 29. Let h be i(-3). Let x = h - 452. What is the remainder when 35 is divided by x? 5 What is the remainder when 3006 is divided by (-10)/(-100)*(452 + 18)? 45 Let g = 132 - 120. Suppose g*u - 1232 - 724 = 0. Calculate the remainder when u is divided by 33. 31 Suppose 0*h + 12*h = 192. Let a(b) = b**3 - 16*b**2 - 2*b + 34. What is the remainder when a(h) is divided by 1? 0 What is the remainder when 4*3/(24/148) + 4 is divided by 16? 14 Suppose 22*i - 20*i - 108 = 0. Let t(g) = 10*g - 407. What is the remainder when t(i) is divided by 27? 25 Let t(g) = g**2 + g - 4. Suppose 2*j - 79 = -17. Suppose 5 = -2*w + j. Calculate the remainder when t(-7) is divided by w. 12 Let b(d) = 206*d**2 + 204*d - 811. Calculate the remainder when b(4) is divided by 1649. 3 Let w = 3 - -11. Suppose w*r - 15 = 9*r. Suppose -a - r*s + 0*s = -44, 2*s + 8 = 0. Calculate the remainder when a is divided by 15. 11 Let x = 7556 + -7333. What is the remainder when x is divided by 30? 13 Let j = 18716 - 18601. Let g(w) = 7*w + 3. What is the remainder when j is divided by g(4)? 22 Let d be -3*3/9 - -26. Suppose 37*k = 42*k - d. Suppose -1 = -5*c + 3*i - 6, -i + k = 0. What is the remainder when 11 is divided by c? 1 Suppose 4*i + 4*k = 148, -9*i + 8*i - 3*k = -43. What is the remainder when i is divided by 8? 2 Suppose 1620 = 19*c + 22*c - 799. Calculate the remainder when c is divided by 7. 3 Suppose 0 = 2*x + x + 27. Suppose 14*u = 28*u - 392. Let s = u - x. What is the remainder when 143 is divided by s? 32 Let t = 32565 + -31533. What is the remainder when t is divided by 207? 204 Suppose 0 = -2*v - 0*v - u + 44, 3*u = -3*v + 69. Calculate the remainder when -116*(9 + -19 + 9) is divided by v. 11 Let a = -24 - -28. Suppose a*d + 3*j - 144 = d, -2*j - 80 = -2*d. What is the remainder when 305 is divided by d? 41 Suppose -10 = 4*a - 6*a. Suppose i - 3*i = 3*z - 191, 5*i - 315 = -a*z. What is the remainder when z is divided by 17? 14 Let i = 507 + -33. Calculate the remainder when i is divided by 31. 9 Let b = 416 + -448. Let f = b + 980. What is the remainder when f is divided by 73? 72 Suppose 4*j = c + 138, -j - 81*c + 82*c + 33 = 0. What is the remainder when 38 is divided by j? 3 Suppose -2*z + 1356 + 704 = 0. What is the remainder when z is divided by 22? 18 Suppose 136 = 10*g - 104. Let z = g + -21. Suppose o - 1 = -x, -3*o - 20 = -2*x - z. Calculate the remainder when 11 is divided by x. 3 What is the remainder when 677 is divided by (-3)/(45/(-2005)) + (-36)/(-108)? 7 Suppose 79*a + 528 = 6374. Let v = 401 + -255. Calculate the remainder when v is divided by a. 72 Let z(y) = -12*y - 8. Suppose 45*p = 49*p - u - 154, -3*p + 108 = -2*u. Calculate the remainder when z(-7) is divided by p. 36 What is the remainder when ((-2)/(-16))/((-28)/(-28448)) is divided by 46? 35 Suppose -16 = -r - 14. Suppose m - r = 14. Calculate the remainder when m is divided by 10. 6 Suppose -x = 6, 5972 = 4*u + 3*x - 18806. What is the remainder when u is divided by 85? 79 Suppose -17*n + 1219 = -3388. Let j = 287 - n. Calculate the remainder when 28 is divided by j. 12 Let v(c) = c**3 + 22*c**2 - 17*c - 38. Let g be v(-22). Suppose 62*a = 56*a + g. Calculate the remainder when a is divided by 19. 18 Suppose 53*k - 111099 = -66702 + 190234. Calculate the remainder when k is divided by 36. 35 Suppose -18 = -4*y - 2*y. Let p be (-2043)/63 + y/7. Let g = p - -46. What is the remainder when 20 is divided by g? 6 Suppose -5 - 17 = -2*b. Suppose b*a - 3*a - 32 = 0. Calculate the remainder when 47 is divided by a. 3 Let b = 1032 - 1024. Suppose 5*c + 12 + 3 = 0, -z - 2*c + 72 = 0. Suppose h = -2*h + z. What is the remainder when h is divided by b? 2 Suppose -5 = -4*i + 3. Suppose 3*l - 97 = i*l - 3*m, 4*l - 388 = -2*m. What is the remainder when l is divided by 72/3 + 14 + -13? 22 Let g(t) = 33*t - 395. What is the remainder when g(23) is divided by 18? 4 Suppose 5*i - 954 = -4*i. Let x(o) = -o**2 + 65*o + 12. Calculate the remainder when i is divided by x(65). 10 What is the remainder when 569 is divided by (-1016)/(-9) - -2 - ((-306)/(-162) + -2)? 109 Let h(u) = -1804*u + 3639. What is the remainder when 3480 is divided by h(2)? 8 Let k(i) = -i**2 + 49*i + 291. What is the remainder when k(51) is divided by 96? 93 Let k(j) = -42*j**3 - j**2 - 2*j - 2. What is the remainder when k(-1) is divided by 21/2 - 105/(-210)? 8 Let a(c) = -c**3 + 14*c**2 + 11*c - 8. Calculate the remainder when a(14) is divided by (-1672)/(-33)*(-9)/(-6). 70 Suppose -91*k + 102*k - 12903 = 0. What is the remainder when 152 is divided by ((-8)/(-6))/(92/k)? 16 Let s = -351 - -353. Suppose s*c = c - 3*j + 52, -3*c + 3*j + 156 = 0. Calculate the remainder when 151 is divided by c. 47 Suppose 2*f = -3*v + 411, 7*f - 3*f - 846 = 2*v. Let g = 271 - f. Let x = 11 + -3. Calculate the remainder when g is divided by x. 5 Suppose 42*x - 37*x - 20 = 0. Suppose x*t = -2*t. Suppose 87 = 4*r - t*k - 5*k, -5*r = k - 116. Calculate the remainder when 91 is divided by r. 22 What is the remainder when (3157/21 - -59)/(3*(-8)/(-90)) is divided by 49? 1 Suppose -15 = 22*v - 17*v. Let s(a) = a**3 + 8*a**2 + 7*a + 4. Let h be s(-7). What is the remainder when 2 - (-29 - (v + h)) is divided by 11? 10 Let t(z) = 32*z - 927. Calculate the remainder when t(44) is divided by 44. 41 Let k(r) = 95 + 6*r - 8*r - 14*r. Calculate the remainder when k(0) is divided by 25. 20 Let o = 67 - 47. Calculate the remainder when 204/68*(-4)/3 - -601 is divided by o. 17 Suppose 0 = -39*v - 8136 + 10437. What is the remainder when 120 is divided by v? 2 Suppose -o - 9 + 9 = 0. Let f = o + 18. Calculate the remainder when ((-1)/3)/(4/(-348)) is divided by f. 11 Let y(b) = 937*b - 3703. Let p = 6 - -8. Calculate the remainder when y(4) is divided by p. 3 Let x(h) be the first derivative of 10 - 1/2*h**2 + 40/3*h**3 + 0*h. What is the remainder when x(1) is divided by 11? 6 Suppose -14*z + 84 = -0*z. Suppose -34 = -z*k - 46. Calculate the remainder when 44 + k + (-3)/2*-2 is divided by 12. 9 Calculate the remainder when 1676 is divided by (224/(-16))/((27/(-6))/9). 24 What is the remainder when 2753 is divided by 25 + 4 + (6 - (-2 + 10))? 26 Suppose 2 + 23 = b + 2*y, b = -4*y + 17. Let h(d) = 7*d**3 + 8*d**2 - 6*d + 1. Let i be h(3). Let o = -232 + i. Calculate the remainder when b is divided by o. 9 Let f(n) = 4*n**3 - 7*n**2 + 6*n + 9. Let v be f(3). What is the remainder w
{ "pile_set_name": "DM Mathematics" }
28300 Round 27962660.14 to the nearest 1000. 27963000 What is -0.0001218651451 rounded to 6 decimal places? -0.000122 What is 0.000205679285 rounded to seven dps? 0.0002057 Round -64718.1711 to the nearest integer. -64718 Round -762.831974 to the nearest one hundred. -800 Round -267433.74 to the nearest 1000. -267000 What is -0.0025030138 rounded to 4 dps? -0.0025 What is -9075.6689 rounded to zero decimal places? -9076 What is -2.6129608 rounded to 2 dps? -2.61 What is -64.54476593 rounded to 1 decimal place? -64.5 Round -138510446.19 to the nearest 1000000. -139000000 What is 4847844.5 rounded to the nearest 100000? 4800000 What is -11574795110 rounded to the nearest 1000000? -11575000000 Round -14083513.18 to the nearest one hundred thousand. -14100000 Round 0.00004471795 to 5 dps. 0.00004 What is -2006.90102 rounded to the nearest integer? -2007 What is 0.0557471325 rounded to six decimal places? 0.055747 What is -50669.078 rounded to the nearest ten? -50670 Round -0.125273232 to three decimal places. -0.125 What is -0.00594300771 rounded to two decimal places? -0.01 Round 0.00164112884 to 6 dps. 0.001641 What is -95305.085 rounded to the nearest one hundred thousand? -100000 What is -2853.927839 rounded to 1 dp? -2853.9 What is 91873.4173 rounded to the nearest 10000? 90000 Round -191648.663 to the nearest 100. -191600 What is 3980233.28 rounded to the nearest 1000? 3980000 Round 0.0002273811863 to five decimal places. 0.00023 What is 1405763189.6 rounded to the nearest 100000? 1405800000 What is -0.0065486808 rounded to 3 decimal places? -0.007 Round 91.8358592 to the nearest ten. 90 Round 5738166.78 to the nearest 10000. 5740000 Round -38057.37093 to the nearest one hundred. -38100 What is -319.055974 rounded to 2 dps? -319.06 What is -15062408200 rounded to the nearest 1000000? -15062000000 Round 2.79418959 to three decimal places. 2.794 What is 579.6181 rounded to the nearest one hundred? 600 Round -113508.8935 to the nearest one hundred. -113500 What is -0.01415672218 rounded to 5 decimal places? -0.01416 Round -0.000004079357 to five dps. 0 Round 2130415.43 to the nearest one hundred thousand. 2100000 What is 6.3348783 rounded to 3 dps? 6.335 What is 36.932719 rounded to the nearest 10? 40 Round 75.379554 to the nearest integer. 75 Round 30041.8682 to 0 decimal places. 30042 What is -0.001421673555 rounded to 6 decimal places? -0.001422 What is 1976.61798 rounded to the nearest one hundred? 2000 What is -0.00197817092 rounded to 5 decimal places? -0.00198 What is 359657.46 rounded to the nearest 10000? 360000 Round -0.0000511039667 to 5 dps. -0.00005 What is -12.18173 rounded to 2 decimal places? -12.18 Round 0.01198848985 to six dps. 0.011988 What is 348314.81 rounded to the nearest one hundred thousand? 300000 Round 0.0330139892 to 2 dps. 0.03 Round -486050845.9 to the nearest one hundred thousand. -486100000 What is 0.183845954 rounded to 5 decimal places? 0.18385 Round -11161.016911 to the nearest 100. -11200 What is -58262.86 rounded to the nearest one thousand? -58000 Round 12.96641512 to two decimal places. 12.97 What is -1057957.4 rounded to the nearest 1000? -1058000 What is -9.1523212 rounded to two decimal places? -9.15 What is -2230575.646 rounded to the nearest one thousand? -2231000 Round -240963.8659 to the nearest one hundred. -241000 Round 103381663 to the nearest ten thousand. 103380000 Round 0.0522875345 to 3 dps. 0.052 What is -13143862.3 rounded to the nearest 10000? -13140000 What is 37477.667 rounded to the nearest one thousand? 37000 What is -5633.3678 rounded to 0 decimal places? -5633 Round -0.0081021219 to 5 dps. -0.0081 Round -107958844.6 to the nearest 1000000. -108000000 Round 0.1673984 to 2 decimal places. 0.17 What is -534419.96 rounded to the nearest one hundred? -534400 Round 635968917 to the nearest one hundred thousand. 636000000 What is 1537.4827371 rounded to two decimal places? 1537.48 Round -62.46644088 to one dp. -62.5 Round 11791.557 to the nearest 100. 11800 What is 115299.68629 rounded to the nearest 10000? 120000 Round -277713238.1 to the nearest 1000000. -278000000 What is 41545.7135 rounded to 0 decimal places? 41546 Round 7793.90842 to the nearest 1000. 8000 Round 19815.4788 to the nearest 10000. 20000 Round 68501610.02 to the nearest 100000. 68500000 Round 2358476.71 to the nearest 10000. 2360000 Round 91.517766 to the nearest integer. 92 Round 0.06773556354 to 6 dps. 0.067736 Round -6089.460087 to zero dps. -6089 What is 0.008040446555 rounded to four decimal places? 0.008 Round 143310.274 to the nearest ten. 143310 What is 0.055502317 rounded to 5 dps? 0.0555 Round 402.272486 to the nearest 10. 400 Round 0.00216655268 to four dps. 0.0022 Round -0.000067900151 to 7 dps. -0.0000679 What is 362338.363 rounded to the nearest 10000? 360000 Round 286721791 to the nearest 100000. 286700000 What is 0.0009899936399 rounded to 5 dps? 0.00099 Round 0.228915965 to four dps. 0.2289 Round -103224806 to the nearest ten thousand. -103220000 Round 46008.275 to the nearest 10000. 50000 Round -0.0877770497 to 3 dps. -0.088 What is -354722.83 rounded to the nearest 10000? -350000 Round 1629680.371 to the nearest one hundred thousand. 1600000 What is 215.388973 rounded to two decimal places? 215.39 Round 3.7472656 to 2 decimal places. 3.75 What is 13.1781266 rounded to 3 decimal places? 13.178 What is 0.64248761 rounded to three decimal places? 0.642 Round 360456360 to the nearest one hundred thousand. 360500000 What is -0.00059128885 rounded to seven decimal places? -0.0005913 What is 0.000909128485 rounded to 7 dps? 0.0009091 What is -427663.785 rounded to the nearest 1000? -428000 Round -0.2678004 to three dps. -0.268 What is 355934440.2 rounded to the nearest 100000? 355900000 Round 1.80607532 to three decimal places. 1.806 What is -8.51514633 rounded to the nearest 10? -10 Round 8463803.24 to the nearest 1000. 8464000 What is -0.216275849 rounded to two dps? -0.22 What is -2341094975 rounded to the nearest one hundred thousand? -2341100000 What is 0.000106095735 rounded to seven decimal places? 0.0001061 Round 4852.32114 to the nearest integer. 4852 What is -1.52227319 rounded to 4 decimal places? -1.5223 What is -954.55266 rounded to the nearest integer? -955 Round 139509.5597 to the nearest one hundred. 139500 Round 0.0001147614039 to 6 dps. 0.000115 Round -165.731114 to the nearest integer. -166 What is -21582460000 rounded to the nearest 1000000? -21582000000 What is -3041520410 rounded to the nearest one hundred thousand? -3041500000 What is -32.9630397 rounded to 0 decimal places? -33 Round 0.000318996923 to 4 decimal places. 0.0003 What is -0.0045655754 rounded to 2 decimal places? 0 What is -75.358366 rounded to two dps? -75.36 What is -7352047.152 rounded to the nearest one hundred thousand? -7400000 What is -0.00002537650338 rounded to 6 decimal places? -0.000025 Round 2830183.74 to the nearest 100000. 2800000 Round -153355232.63 to the nearest ten thousand. -153360000 Round 0.001587441313 to 5 dps. 0.00159 What is -3.3263515 rounded to 2 dps? -3.33 What is 0.07216904629 rounded to 3 decimal places? 0.072 What is 0.0011538067 rounded to 3 decimal places? 0.001 What is 114057.501 rounded to the nearest one hundred? 114100 Round -50794902.11 to the nearest ten thousand. -50790000 What is -0.00234662664 rounded to six decimal places? -0.002347 Round -0.0727590941 to 6 dps. -0.072759 Round -236288.62 to the nearest one hundred. -236300 Round -0.000049318271 to 6 dps. -0.000049 Round -0.00029058174 to five dps. -0.00029 What is -23182.096 rounded to the nearest integer? -23182 Round 0.5533015079 to 4 decimal places. 0.5533 Round -1766289.424 to the nearest one hundred thousand. -1800000 What is -0.004232514983 rounded to three dps? -0.004 What is 0.0000493368146 rounded to 5 decimal places? 0.00005 What is 5701891.1 rounded to the nearest 1000000? 6000000 What is 2916.8134 rounded to the nearest one hundred? 2900 Round -58951903.69 to the nearest ten thousand. -58950000 What is 0.000193667799 rounded to 7 dps? 0.0001937 What is 5846.46933 rounded to 1 dp? 5846.5 Round 1.24342206 to 4 dps. 1.2434 Round -144024061 to the nearest one million. -144000000 Round -2863180980 to the nearest one m
{ "pile_set_name": "DM Mathematics" }
True Suppose -2*c - 20 = 3*c, 0 = -3*k - 4*c + 164. Suppose -3*m - k = -2*u, -5*u - 2*m = -2*u - 64. Is 12 a factor of u? True Suppose -1204 + 346 = -6*o. Is o a multiple of 15? False Let j be 1*(1 - -20 - -4). Let w = 35 - j. Is (15/w)/(1/24) a multiple of 9? True Suppose -2*z = -4*i - 2264, -16 = -4*i - 0*i. Is 20 a factor of z? True Let n(a) = a**3 - 13*a**2 + 14*a - 27. Is n(19) a multiple of 65? True Suppose 0 = -4*c + 5*d + 15, -5*c + 4*d + 0*d + 21 = 0. Does 13 divide (-6936)/(-85) - 3/c? False Let c = 1758 + -1038. Is 60 a factor of c? True Let v(d) = d**2 + 15*d + 5. Is v(20) a multiple of 47? True Suppose -2*y = 4*m - 1160, 26*m - 31*m - 4*y + 1447 = 0. Is 43 a factor of m? False Suppose 2*k - 78 = -0*k. Let g = k - -27. Is 22 a factor of g? True Suppose -a - 112 = -2*s, -3*s + 4*s + 2*a = 61. Let v be ((-16)/12 + 3)*s. Suppose l - v = -4*l. Is l a multiple of 12? False Let c(o) = -o**2 + o - 18. Let f be c(0). Let z be (9/f)/((-1)/(-16)). Is 9 a factor of (z + -1)*(15 + -16)? True Let g(t) = 2*t**3 - 8*t**2 + 20*t + 6. Does 15 divide g(6)? True Let o(f) = 7*f + 7. Let h be o(-5). Let t be ((-574)/h)/((-1)/(-2)). Let j = -25 + t. Is j a multiple of 10? False Suppose 3*s - 15 = -4*v, -5*s + v + 20 = -5. Suppose -3*c + 455 = -s*d, -c - d + 180 = 3*d. Is c a multiple of 20? True Let o = 501 + -451. Is 10 a factor of o? True Let d(m) = 9*m**2 + 2*m + 34. Is d(-6) a multiple of 9? False Suppose 16*i = -10*i + 72748. Is i a multiple of 26? False Suppose 11*d + 5655 = 26*d. Does 13 divide d? True Suppose 0 = w + h, 2*w - 7*w = 2*h - 3. Does 10 divide 3/(w + 148/(-160))? True Let s be -3 + 1 - (-3 + 2). Let w = -43 + 27. Does 5 divide (-6 - -3)/s - w? False Suppose 5*u = 5*q - 3175, -2*q = u - 609 - 646. Is 69 a factor of q? False Suppose -50 - 166 = 2*d. Is 6 a factor of (1/2)/((-9)/d)? True Let t(j) = -j**3 - 8*j**2 + 11*j - 5. Let z be t(-9). Let n = z - -153. Is n a multiple of 26? True Suppose 812 = 4*j + y, 4*j = -0*j + 4*y + 832. Does 6 divide j? True Let r(h) = h**3 - 6*h**2 + h - 18. Is r(10) a multiple of 19? False Let g = 177 - -231. Is g a multiple of 12? True Is (10425 - (-3)/3)*1/2 a multiple of 14? False Suppose -f = 2*d - 3*f + 110, -112 = 2*d - f. Suppose -5*v + 4*k = 5*k - 428, -v = -k - 88. Let t = v + d. Is t a multiple of 21? False Let i(s) = -s**3 - 6*s**2 + 10*s + 21. Let w(d) = d + 1. Let b(u) = -i(u) + 3*w(u). Is 12 a factor of b(-6)? True Suppose 5*k + 4*s - 40 = 0, -10*k + 2*s = -5*k - 70. Is 6 a factor of k? True Suppose -22 = 4*v - s + 32, 0 = -5*v + 2*s - 69. Let w = v + 23. Is 5 a factor of w? True Let b = -10 - -13. Suppose -b*a + 13 = 2*j - 0*j, -4*j = -5*a + 7. Suppose j*z = 3*m + 57, -2*m + 6*m - 124 = -4*z. Is 8 a factor of z? False Let d be (-24)/(-42) - (-1123)/7. Suppose 162*s = d*s + 20. Is s a multiple of 16? False Is 23 a factor of (-32)/48*6/4*-276? True Let w be (-10)/(-6) + (-2)/(-6). Suppose 0 = 3*m - w*b - 28, 5*m + b - 38 = -0*b. Is 8 a factor of m? True Let z = 154 - -105. Is z a multiple of 21? False Let m be (-30)/4*(-6)/9. Suppose 9*s - s = 16. Suppose 154 = m*b - s*n, b - 3*n - 18 = 18. Is 10 a factor of b? True Suppose 3*w - 10 = 38. Let l = 42 - w. Is l a multiple of 26? True Let k be (-2)/((-159)/(-51) - 3). Let t = k + 21. Suppose 2*x = 0, -3*q + t*x = q - 60. Is q a multiple of 12? False Suppose 4*i - 2*i = -3*s + 24, 4*i - 6 = s. Suppose -s*m = -m - 3*y - 229, 3*y = 4*m - 185. Let n = m - 14. Is 9 a factor of n? False Let r(k) = 7*k**3 - 4*k**2 + k. Let g be r(2). Let v = 39 + g. Is 8 a factor of v? False Suppose -5*c + 4*p = 100, 2*c + 4*p = -0*p - 68. Let l(g) = -g**2 + 5*g + 10. Let v be l(7). Let a = v - c. Is a a multiple of 5? True Let o be (3440/(-30))/((-2)/6). Suppose 2*r + 3*r = -2*j - 342, -o = 2*j + 4*r. Let d = -121 - j. Is d a multiple of 19? False Suppose 0 = -5*x - 5*b + 15, 2*x = b - 4*b + 9. Suppose n + n - 114 = x. Suppose 4*f = -21 + n. Is f even? False Let f be (4/(-6))/((-5)/180). Let p = f - 22. Does 10 divide (p + -2)*1 + 54? False Let o = 164 - 32. Is o a multiple of 3? True Suppose -3*o + 4*o - 758 = 2*j, 3*o - 3*j - 2277 = 0. Does 40 divide o? True Suppose -5*u + 77 = 3*x + 11, 4*u = -x + 22. Suppose -i - 12 = -2*n, 3*i = 2*i - 3*n - x. Does 4 divide ((-9)/3)/(6/i)? True Suppose -5*t + 1627 = 5*x + 247, -3*t = x - 286. Does 36 divide x? False Let t(l) be the second derivative of -l**3/2 + l. Let q be t(-2). Does 18 divide q/1*28/6? False Suppose -2*q + 5*u + 294 = 0, -5*q + 735 = -u + 5*u. Is 7 a factor of q? True Let f(k) = k - 10. Let m be 28/(-8)*6/(-3). Let a be f(m). Let b = a + 14. Is b a multiple of 9? False Let f(d) = -111*d + 1178. Is f(-7) a multiple of 41? False Let j = 201 + -284. Let g = 7 - j. Is g a multiple of 18? True Suppose -17 = 3*g + 31. Let m(j) = -4*j - 20. Let o be m(g). Suppose -2*i = -0 - o. Is i a multiple of 7? False Suppose -a = -9*r + 4*r, -r = -2*a. Suppose 5*z - z - 96 = r. Is z a multiple of 6? True Let t(s) = -2*s**2 + 3*s + 8. Let k(b) = -5*b**2 + 8*b + 23. Let v(h) = 3*k(h) - 8*t(h). Let o = 12 - 5. Does 21 divide v(o)? False Suppose -14*s + 1088 = -1852. Is 14 a factor of s? True Suppose -2*m - d = -2261 - 440, 0 = -m + 3*d + 1368. Is m a multiple of 6? False Let l(y) = 5*y**2 - 7*y + 3. Let w(b) = -27*b - 1. Let u be w(-1). Let s = u - 30. Is 31 a factor of l(s)? False Let f = -1089 + 1609. Is 26 a factor of f? True Suppose 40 = 5*l - 3*l. Suppose -l = -8*v + 4*v. Suppose -v = -o + 17. Is o a multiple of 11? True Does 8 divide (-36)/(0 + -9) - -1204? True Suppose 0 = 3*b - 5*w + 7, -b - 3*b = -w + 15. Let x(q) = -5*q**2 - 35*q**3 + 3*q**2 + 34*q**3 - 1. Does 17 divide x(b)? False Suppose -4*r = 3*w - 675, 4*w - 3 = w. Does 5 divide r? False Let c be (-7)/21 + (-16)/(-3). Suppose 0 = -c*y + 2*y + 9. Suppose 2*j + 50 = y*m - 142, -5*m - 2*j + 304 = 0. Does 31 divide m? True Let k be 88/28 + 1/(-7). Suppose -2*f + 7 = -k*r - 12, f + 4*r = -18. Suppose 51 = f*p + p. Does 14 divide p? False Suppose 15 = 3*o + 2*b, 4*o - 2*o = 4*b + 10. Let k = 7 - o. Suppose 5*w - k*m - 27 = 365, 3*w = -2*m + 248. Is 21 a factor of w? False Let u = 17 - 25. Is 12 a factor of 27/36 - -7*(-62)/u? False Suppose -2*x + c + 170 = 0, 4*c = 5*x - 293 - 135. Let m = -3 + 5. Suppose 0 = m*w + w - x. Is 14 a factor of w? True Let f(z) = -7*z + 10. Let t(g) = 20*g - 30. Let n(o) = 17*f(o) + 6*t(o). Let v be n(9). Is 3 a factor of -36*(v - (-2)/3)? True Let d(t) = -t**3 + 11*t - 4. Let i be d(3). Does 43 divide -258*4/(-16)*i? True Let q(u) = u**2 - u - 83. Let r be q(-8). Let g be (2/(-4))/((-3)/(-78)). Let a = r - g. Is 2 a factor of a? True Suppose -7*a + 4*a = -9. Let f be 7/a - 8/24. Suppose -v - f*v = -96. Is 16 a factor of v? True Let n = -59 + 61. Suppose -y + n*y - 7 = 0. Is y a multiple of 4? False Is 34/30 - 1 - (-323736)/630 a multiple of 5? False Does 41 divide 82/6*(-54 - -81)? True Let b = -296 + 743. Is 12 a factor of b? False Let v = 179 + 107. Does 11 divide v? True Suppose 4 - 14 = -2*m. Suppose m*x + p - 101 - 32 = 0, -p = -3*x + 75. Suppose -2*t = -2*u - x, -t = -3*t - 2*u + 14. Is t a multiple of 5? True Let q = -27 - -27. Suppose q = 2*m - 107 + 9. Does 10 divide m? False Let v be (9/6)/((-4)/(-8)). Suppose -v*k + 10 = -k. Suppose k*t + 102 = 3*o + 4*t, 0 = 4*t. Is 27 a factor of o? False Let a(j) = 96*j**2 - 13*j + 8. Let d(o) = 528*o**2 - 72*o + 44. Let q(r) = 28*a(r) - 5*d(r). Is 23 a factor of q(1)? False Let m(z) be the first derivative of z**4/4 + 2*z**3 + 2*z**2 + 5*z - 4. Does 3 divide m(-4)? True Let x(g) = -g**3 + 2*g**2 - 2*g + 1. Let i be 5/(-30) - (-7)/6. Let w be x(i). Suppose -4*z = 5*r - 252, -r + 4*z + w*z = -36. Is r a multiple of 12? True Suppose 2*b - d + 6 = -0*d, -2*d = b + 8. Let z = b + 4. Suppose y - 2*y + j + 54 = z, -5*j - 93 = -2*y. Does 20 divide y? False Suppose -60950 = -65*v - 50*v. Is v a multiple of 22? False Suppose 3*p + 5 = 3*q - 1, 0 = -4*p + 5*q - 8. Is (p - (-154)/3) + (-2)/6 a multiple of 7? True Let q(i) = i**3 + 11*i**2 + 23*i + 11. Let b be q(-8). Is 17 a factor of 4 + -2 + (b - 4)? True Suppose -g + 0*g = -127. Let i = 199 - g. Suppose 7*h - i = 3*h. Does 9 divide h? True Let a be 1/(-4 + (-183)/(-45)). Suppose -16*f + 3 = -a*f. Suppose 4*o + 147 = f*z, o - 245 = -5*z + 3*o. Is z a
{ "pile_set_name": "DM Mathematics" }
. 1 Solve 34 = 31*m + g, -m - 5181 = -0*m + 3*g - 5191 for m. 1 Solve 0 = 2*l + 2*l + 4*q - 60, -4*q - 448 = -149*l + 563 for l. 7 Solve -9*m = 9*u - 90, 3*m + 5*u + 409 - 467 = 0 for m. -4 Solve -2*t = -5*v - 19284 + 19164, v + 41 = -3*t for v. -26 Solve 19 = -11*c - 4*b - 0*b, -6803 = -3*c + 5*b - 6796 for c. -1 Solve -g + 1174 = -90*w, 3*w - 85 = -3*g - 112 for g. 4 Solve -s + 3*s + 63*w + 251 - 29 = 0, 0*s - 5*s = -5*w + 555 for s. -111 Solve -29*m + 27*m = -3*l - 47, 0 = 5*l + 308*m - 233 for l. -15 Solve -4*w + 3*j + 73 = 0, 5*w + 128 - 76 - 16 = -3*j + 134 for w. 19 Solve -3*a + 9*a - 30 = 0, 2*m - 2794*a - 2759*a = -5554*a + 11 for m. 3 Solve 1 = 5*p - 3*i, -36*p + 3 = -36*p + i for p. 2 Solve -56256*s = -56251*s + 5*h + 30, 21 = -5*s - 2*h for s. -3 Solve -125*k = -121*k + 2*w + 5 - 57, -5*w - 2*w = 12*k - 174 for k. 4 Solve 2*t - 1157 + 1114 = -3*k, 0 = 5*k + 2*t - 41 for k. -1 Solve 149996*d + v = 149988*d + 32, -4*d + 16 = 5*v for d. 4 Solve -5*g + 64 = 3*j, 4*g - 72 = -j - 3*j for j. 13 Solve 5*c - 3*f - 108 = 0, 49*f - 723 + 2248 = -10*c + 12*c for c. 3 Solve -g + 30 = -3*u - 0*g, -1140*u + 568*u = -567*u - g + 48 for u. -9 Solve 10*u - 40 = s, 724227*u - 2*s + 7*s + 8 = 724229*u for u. 4 Solve 5*h - 99 = 3*k, -12*k - 868*h - 396 = -866*h for k. -33 Solve 5*v = -2*z - 12218 + 11769, -v - 91 = z for v. -89 Solve -2360*o = -t - 1148*o - 13336, -3*o + 45 = -3*t for t. -4 Solve -5*l = 4*i - 42, i + 1318 = -5*l + 1336 for i. 8 Solve 42867*t + 6*n - 456 = 42827*t, n - 68 = -4*t for t. 3 Solve -3*k = 3744*p - 3742*p + 142, -5*p = 8*k + 377 for p. -5 Solve 3*m = -3*b - 102, 1201*b - 1189*b - 2*m - 54 = 0 for b. -1 Solve 46 = 297*x - 301*x - 3*n, 59 = -37*x - 34*x + 3*n - 195 for x. -4 Solve -3*a - 38*y + 54*y - 11*y - 26 = 10*y, -2*a + 3*y = -8 for a. -2 Solve 0 = 5*p + 29*w + 171, -p - 45 = 32*w - 21*w - 16*w for p. -40 Solve -x - 6*j + 64 = 0, 999*j + 1013*j - 27 - 31 = -2*x + 2007*j for x. 4 Solve 4*t - u - 659 = -671, 381 = -3*t + 6*t + 4*u + 371 for t. -2 Solve 2*i = 3*d - 3481093 + 3481066, -4*d = -3*i - 40 for d. 1 Solve 15 = 2*a + 9*s, 0 = -5*a - 79*s + 81*s + 62 for a. 12 Solve 19 = -2*o - 3*d, 570*o - 3*d - 23 = 574*o for o. -2 Solve 0 = 3*b + 9*y - 10*y - 3*y + 37, y + 1 = b + 2*y - 10 for b. 1 Solve -7*z - 7 = 377038*v - 377034*v, -3 = 2*v + 3*z for v. 0 Solve 31*f - 5*x = -44, 177*x - 54 = 4*f + 173*x + 2 for f. 1 Solve -30*d - 3*m - 12 = 0, m + 441 = 3*d - 0*d - 3*m + 468 for d. -1 Solve 0*d + d = -56*q - 3, 242*q + 6 = -2*d + 243*q for d. -3 Solve 38 = -q - 4*k, -3*k = 3*k + 4*k + 4*k - 19*k - 25 for q. -18 Solve 3*p = -6, p + 2*p - 35 = -3*c + p for c. 13 Solve -4 = 2*d + 3*o, 5948*o = -5*d + 5943*o - 15 for d. -5 Solve -5*g + 8*g = -54*z + 147, 2*g + 5 = 4*g + 5*z for g. -5 Solve 0 = 6*f + 2*v - 58, 0 = 29179*f - 29174*f - 61*v - 111 for f. 10 Solve 2*g + 6*w + 289 = 369, 0 = 5*g - 6*w + 52 for g. 4 Solve 2*r = -3*b + 9, -8*r - 5*b = -b - 461 + 885 - 452 for r. 3 Solve -5*n = -49*x - 95, -13*n + 11*n - 305 = -5*x + 9*n for x. -5 Solve 0 = c - 3*k - 10 - 19, 0 = -5*c - 333*k + 5390 - 8725 for c. -1 Solve 3*z = -264*r + z - 738, -r - 17 = -5*z + 121 for r. -3 Solve -1778*s - 121 = -1781*s - 28*u, 4*u - 10 = 2*s for s. 3 Solve -128*o - 2*i + 2816 = 0, 294*o + 44 = 296*o + 5*i for o. 22 Solve -2*p = 5*p - 2*u - 212, 0 = 3*p + 2*u - 4594 + 4506 for p. 30 Solve -5*r + 2*t + 28510 = 28369, 459 = -23*r - 5*t for r. -3 Solve 72 = -150*j + 146*j - 6*s, 4*j + 5*s + 70 = 0 for j. -15 Solve -4*v + 24 = -12*m, -2*v + 964 - 943 = -9*m for m. -3 Solve 4*z - 4*j = 28, -9*j - 8753 + 8723 = 2*z for z. 3 Solve 12*v + 21*v = 30*v + 3, -5*s + 21*v - 98 = 23*v for s. -20 Solve -28402*j + 10 = -28400*j - y - 4*y, j - 4*y - 5*y = 31 for j. -5 Solve -150 = -15*w + 4*d - 391, 4*w + 4*d + 44 = 0 for w. -15 Solve 0 = 2*r + 5*s + 6, -186430*r - 2*s + 21 = -186431*r for r. -13 Solve 0 = r - 4*w + 9, 11*w - 2753 + 2767 = -7*r + 2*r for r. -5 Solve z = -4*b + 23, 36*b + 5*z - 344 = -165 for b. 4 Solve -3*k - u - 23 = 0, 86 = -15*k + 501082*u - 501086*u for k. 2 Solve -5*u + 2*g = -25, -g + 39 = 2*u - 2*g + 17 + 11 for u. 3 Solve -2*b - 6*r = 204, 2*b - 2*r + 837 - 905 = 0 for b. 0 Solve 3*c + 23*k = 20*k + 3, 9*c - 4*k - 29 = 2*c for c. 3 Solve -3*t - 5*o = -1, -9*o - 6398 = 4*t - 6397 for t. 2 Solve -3*d + 54 = 5*l - 40 - 10, 0 = 5*d + 4*l - 91 for d. 3 Solve -3*z = 3*f + 6, 16778 = 4*f + 2*f + 5*z + 16788 for f. 0 Solve 2*f + 2*a - 48 = 0, 3*f + a + 2801 = 2817 for f. -4 Solve 172 = -4*c, -5*k - 1901853 + 1901390 = 11*c for k. 2 Solve -3*o - 11 = 1198658*c - 1198648*c, -3*o = 5*c + 31 for c. 4 Solve 10*q = -2*d + 13*q + 16, 4*d = 5*q + 30 for d. 5 Solve 164*x - 160*x + 79 = -7*b, -4*x = -3*b + 69 for b. -1 Solve i + 11 = -4*s, -5*s - 10 = 1814*i - 1819*i + 14 - 4 for s. -3 Solve 15*t = -5*f - 470, 129*t - 242*t - 527 = -117*t + 5*f for t. 3 Solve -b + 278 = -f - 3*f, -f + 43*b - 47*b = 61 for f. -69 Solve -499 = -4*v + 4*j - 415, 4*v = -53*j - 1113 for v. 0 Solve -39*r + 37*r - 5 = -3, -3*r - r = -3*h + r - 10 for h. -5 Solve -3*r + 107*g + 363 = 0, -2*r - 8*g - 8*g - 9*g + 16 = -21*g for r. 14 Solve 19695626*w - 19695625*w + 11 = 4*f, -8*f + 42 = 2*w for f. 4 Solve -d = h + 17, 68*d - 111*d = -6*d + 3*h + 187 for d. -4 Solve 20 = 4*w - 2*h, 114093*h - 114084*h - 30 = -2*w for w. 6 Solve -4*v + 4*c = 889 + 889 - 1802, 18 = 9*c for v. 8 Solve 2080*i = -2*m + 2339*i + 2327, 5*m + 4*i + 46 = 0 for m. -2 Solve -p + 4*t = 33, 18*t - 73 + 19 = -6*p + 42 for p. -5 Solve -5*l = -31*j + 31*j - 35, -148*j + 152*j + 5*l = l + 32 for j. 1 Solve -2*g = c - 53, 3*c + 0*g - 75 = 3*g + 111 for c. 59 Solve 101*r + 85 = 93*r - 3*w, 2*w + 62 = -4*r for r. 4 Solve 37*k - 7*q + 76 = 0, -273 = 2*k + 5*q - 242 for k. -3 Solve o + 10 = -3*z, 0 = -7*o + 2*z + 21766 - 21698 for o. 8 Solve 16043*q - 16034*q - 5*y + 33 = 0, 4*q - 1 = -3*y for q. -2 Solve 8*z + n + 31 = 0, 2*z - 51565 + 51557 = -2*n for z. -5 Solve -2*w + 13 = -3*k, 5326*k - 5321*k + 14 = 3*w - 7 for k. -3 Solve -2586*j = -2584*j + 3*s + 50, -2*j + s + 30 = 0 for j. 5 Solve -c - 265*d + 263*d + 45 = 0, -8*c + 8*c + 5*d - 48 = 52 for c. 5 Solve 5*u + 90 = -4*s, 94 + 154 = s - 3*s - 17*u for s. -5 Solve 263*r + 4*j - 4 + 26 = 530*r - 269*r + 2*j, -5*j = 30 for r. -5 Solve 9977*l = 9974*l + 4*j - 116, 5*l - 4*j + 180 = 0 for l. -32 Solve c + 2*b - 26 = -0*c, 13 = 1054*b - 1053*b for c. 0 Solve -74*r + 153 = -71*r, 5*z + 16*r = 826 for z. 2 Solve 3*k - 81692 = -t - 81686, -5*k = 9*t - 142 for t. 18 Solve -17961*j + 17958*j + 56 = n, n = 3*j - 52 for j. 18 Solve -2*i + 6*a = -70, 4*i - 757 + 672 = a for i. 20 Solve -2*c - 3*c - 51 = -4*y, -4*c + 24 = -2*c + 9*y - 104 for c. 1 Solve 3*d - 188*k + 74 = -193*k, -23*d - 526 = -3*k for d. -23 Solve -4*z + 3*a = 9*a - 2*a - 8, -5*a + 438 = 433*z - 0*a for z. 1 Solve 15*l - 2*h = -500, -2*l = -5*h - 45745 + 45788 for l. -34 Solve 8*z - 98*k + 202*k - 101*k = -178, 3*z + 71 = k for z. -23 Solve 2*h = -38*y + 2920, 0*y - 2*h = 4*y - 568 + 266 for y. 77 Solve 39 = -2*j + 5*j + 45*h - 48*h, -52 = -4*j + 2*h for j. 13 Solve 168*w + 36*o = 337*w - 172*w + 14 + 46, 2*w = -2*o - 4 for w. -4 Solve 0 = 4*g - 2*l - 38, -151*g - 4*l = -148*g - 23 for g. 9 Solve q - 360 = -3*f - 22*q, 3*q = -2*f - 6522 + 6577 for f. 5 Solve 1769875*i - 1769872*i + 5*r + 89 = 0, -10 = i - 18*r for i. -28 Solve 0 = 4*a - 23283*d + 23281*d - 20, 0 = 3*a + 3*d - 15 for a. 5 Solve -8*z + 266 = 38*p, 4*z - 3 = -3*p + 5 + 13 for p. 7 Solve -2*q + 0*q = 3*j - 5, 71*q + 89*q - 7*q = -29*j + 583 for j. -1 Solve -3*q + 12624 = -4*m + 12647, -4*q + 4*m = 32 for q. -9 Solve 329*j = 339*j + 4*g - 2*g - 350, -7*g = 6*j - 4*g - 219 for j. 34 Solve 29*u + h + 2*h + 3 = 0, 266*h = -u + 271*h + 5 for u. 0 Solve -6*u + 3*g + 48 = -13 + 121, g - 12 = 4*u for u. 4 Solve 7*z + 486 = -h + 253, -3*h = -z - 27 for h. -2 Solve 8*d - 2*d - 4*r - r - 53 = 0, 2*r + 79 = 31*d + r - 21 for d. 3 Solve 3*v = 2*g + 73, 566*g - 13 - 23 = -v + 567*g for v. 1 Solve 16 = 4*b - 3*c, 4*b - 216*c - 19 = -238*c - 3 for b. 4 Solve -3*i + 6*i + 220 = -20*q, -33 = 3*q - 0*q for i. 0 Solve d = -2171*u + 2166*u + 209, 6*d = 5*u - 181 for u. 41 Solve 3*b + 202 = 2*l - 3*b, 4*l - 3626*b + 44 = -3628*b for l. 5 Solve 4*s + 122 = 2*a, 0 = -3*a - 12*s
{ "pile_set_name": "DM Mathematics" }
4. Suppose 15*d + 65*d - 320 = 0. Which is the biggest value? (a) g (b) d (c) -0.4 b Let f = -143.3 + -34.7. Let j = 177.7 + f. What is the third biggest value in j, 0.3, 12? j Let r = -9.28 - -8.88. Suppose 4*p = 7*p + 5*t + 10, -2*t = 3*p + 4. Which is the biggest value? (a) 0.8 (b) p (c) r (d) -3 a Suppose -3*v - 414 = g, 22*v = 17*v + 4*g - 690. Let h be (-92)/v - 5/21. What is the second biggest value in 0.2, 66, -1/8, h? h Let m = -546/1751 + 20/103. Let r = -5713/5268 - -1/878. Which is the fourth biggest value? (a) 4/7 (b) 0 (c) r (d) m c Let y = 6 - 17. Let b = -11.4 - y. Let g be (-9097)/924 + 10 - (-2)/(-8). What is the biggest value in 1/3, b, g, 0? 1/3 Let o(j) = -j**2 + 6*j + 17. Let i be o(6). Let s = i + -16. Which is the fourth smallest value? (a) s (b) 4 (c) 2/17 (d) 0 b Let u = 904 - 907. Which is the second smallest value? (a) u (b) -1/8 (c) 1 (d) 3 (e) 4 b Let v = 10 - 9.8. Let n = -3.8 - v. Let q = 438 + -437.95. What is the third biggest value in n, 3, q? n Let j = 623.316 - 623. Let l = -0.184 - j. Which is the second biggest value? (a) 4 (b) l (c) 21.3 a Let k = -6767 + 6766.6. Let o = -16.5 - -17. Which is the fourth biggest value? (a) -0.18 (b) k (c) o (d) 2/5 b Let g = -35726 - -35590. Which is the second biggest value? (a) 0.3 (b) -1 (c) 1 (d) g a Let n = 5305 - 5304.6. Which is the third biggest value? (a) -8 (b) n (c) 3 (d) -3 d Let i(h) = -h**2 + 7*h - 2. Let q be i(6). Suppose -5*c + 2*c = -q*f + 274, -2 = c. Let b = -62 + f. What is the biggest value in -5, b, 0.08, -3? b Let k be 1*(-2)/6*(12 + -57). Suppose 0 = 39*q - 34*q - k. Let r be q - (-4)/3*(-162)/60. Which is the biggest value? (a) 4/9 (b) 3/2 (c) r b Let j = 47.2 + -14. Let z = -37.2 + j. What is the smallest value in z, 0.4, 4? z Let u = 43 + -63. Let k = u - -17. Let x be (-40)/(-70) + 1*29/(-63). Which is the third biggest value? (a) x (b) k (c) 1 (d) -0.3 d Let d be ((-46)/69)/((-3)/18*-1). Let s = 2.4 - 2. Let b = 0.4 + -2.2. What is the second biggest value in d, b, s? b Let l be (-2)/1*8/112*3. Which is the fifth smallest value? (a) -5/2 (b) l (c) -1 (d) 6 (e) -0.3 d Let q = 0.0472 + -0.1011. Let w = q + 0.5539. Which is the biggest value? (a) -2 (b) 6 (c) 7 (d) w c Let r = 37949/12 + -3199. Let s = r + 215/6. What is the second biggest value in -4, s, 3/13? s Let f be -1 - -3 - (3 - 12 - -4). Which is the second smallest value? (a) f (b) -4 (c) 0.4 (d) -13.7 b Let u = -0.2 + 0.6. Let z(n) = -3*n**3 + 6*n**2 + 3*n + 10. Let l be z(-3). Let w = -409/3 + l. Which is the second smallest value? (a) 5 (b) u (c) w b Let t = -0.53 + 0.13. Let m(r) = -2*r - 28. Let x = 90 - 102. Let i be m(x). What is the fourth biggest value in -7, 0.1, i, t? -7 Let k = 0.883 + -2.883. Let s = 562 - 8434/15. Let y = s + -17/105. Which is the second biggest value? (a) y (b) 4 (c) k (d) -3 a Let o(b) = 3*b**2 - 7*b - 11. Let t be o(4). Let l be ((t/21)/(-1))/(2/(-7)). Let f = 20 - 39/2. What is the third smallest value in f, l, 2/15? l Let g be (-8)/(-3) - (-900)/(-135). Let u = -0.6 + 0.9. Which is the third smallest value? (a) -0.4 (b) u (c) g b Let n = 0.139 + 1.361. Let o = 1.7 - n. Which is the smallest value? (a) 0.4 (b) o (c) -3/2 (d) 0.5 c Let s(y) be the second derivative of -15*y + 5/3*y**3 + 0 + 7/2*y**2 - 1/12*y**4. Let v be s(11). What is the second smallest value in 1, v, -5? v Let j = 386/255 - 157/85. What is the second biggest value in 404, j, -1/4? -1/4 Let i = -2036 - -2017. Let h = 24 + -40. Let y = -18 - h. Which is the third smallest value? (a) y (b) -4 (c) i a Let x = 4361.1 - 4363. What is the smallest value in x, 1, -3? -3 Let j = 19851.5 - 19842. Which is the third biggest value? (a) j (b) 209 (c) 4 c Let n be (-121)/(-18) + (-4 - -2 - 5). Which is the third biggest value? (a) 1 (b) -1/3 (c) 5 (d) n (e) 1/5 e Suppose -236*j - 8 = -244*j. Which is the third smallest value? (a) 0.4 (b) 2 (c) j b Let l = -1547 + 1546.8. Which is the second biggest value? (a) -32/89 (b) l (c) 0 b Let x = -137 - -120. Let b = 27 + x. What is the second smallest value in -2/3, b, 2/5? 2/5 Let f = 1371.3 + -1371. Which is the third biggest value? (a) 2 (b) -4 (c) 97 (d) f d Let s = -0.04153 - -0.54153. Which is the second biggest value? (a) 0 (b) -5 (c) s (d) -51/5 (e) 2 c Suppose 3*f = 0, 5*g + 111 = -4*f - 74. Which is the biggest value? (a) -2 (b) 5 (c) g b Let w = -6.93 - -5.73. What is the second biggest value in -0.4, w, 0.16, 0, 3? 0.16 Let g = -0.19 - -0.39. Let n = 1593/4 + -398. Which is the third smallest value? (a) n (b) 0.1 (c) 12 (d) g a Let p(l) = -l**2 - l - 2. Let t(n) = 2*n**2 - 13*n + 43. Let d(y) = -3*p(y) - t(y). Let j be d(-18). What is the third smallest value in -2/17, j, 7, -3? -2/17 Let m = 2.312 + 2.688. Which is the second smallest value? (a) -2 (b) -0.36 (c) 0.2 (d) -1/8 (e) m b Let d be 1/(-6) + (-15370)/(-60). Let u = d - 1031/4. Let i = u - -2. What is the fourth biggest value in -4, i, 3, -2/7? -4 Let l = -31 + 50. Let s(v) = -v**3 + 18*v**2 + 15*v + 78. Let p be s(l). Which is the smallest value? (a) -40/3 (b) 0.2 (c) p a Let w = 21 + -8. Let o = 15429 + -15428. What is the smallest value in 0.6, w, -2/5, o? -2/5 Let b = 12028/77675 + -6/5975. What is the biggest value in 3, b, -1, 1? 3 Let h = 17.5 - 19.64. Let q = h + 1.64. What is the third biggest value in q, 7, 1? q Let l = -2438 - -2438.09. Suppose -10 = -5*b, 0 = -3*u - 2*b - 3 - 8. Let h = -1.2 + 1. What is the smallest value in h, 1/6, u, l? u Let z = -793/5 + 158. Let u be 82/(-287) + ((-15)/7 - -3). What is the biggest value in u, 0, 5/2, z? 5/2 Suppose 98 = 3*l - 5*l. Let z be 0 - (84/l)/3. Let h(i) = -i**3 - 2*i**2 - 4*i - 3. Let d be h(-2). Which is the third smallest value? (a) d (b) -0.5 (c) z a Let v be (-13761)/(-5643) - (-63)/(-27). Let y = 2.4 + -0.4. What is the second biggest value in -1, v, y? v Let q = 8227 + -699303/85. Which is the third smallest value? (a) -5 (b) 5 (c) q b Let s be ((-630)/(-294))/((-10)/(-35)). Which is the second biggest value? (a) -1/3 (b) -8 (c) s (d) -3/8 a Suppose 8*o + 78 = 2*o. Let p be 39/o + (-3)/(-36)*37. What is the third biggest value in p, 2, 4? p Let o = 1495.4 - 1296. Let u = o + -199. Which is the biggest value? (a) 0.5 (b) -140/3 (c) u a Let x = -13669 - -13668.99. Let t = -4.92 + 5. Let n = t - -2.92. Which is the smallest value? (a) n (b) 3/2 (c) x c Let m = -5.7 + 10.7. Let j be (6/2)/(-3 - (-1 + -4)). What is the third biggest value in -16, j, m? -16 Let l = -47.5 - -44.32. Which is the third biggest value? (a) l (b) -0.1 (c) -5/2 a Let v = 30.8 - 30.4. Let t = -1208/7 + 4853/28. Which is the third biggest value? (a) -0.103 (b) v (c) 3/2 (d) t b Let i = -195 - -108. Let o = -19142 + 19050. Let m = i - o. What is the second smallest value in -2/7, -4, 1, m? -2/7 Let i(q) = -q**3 - q + 12. Let k be i(0). Suppose -160*u + 162*u = k. Which is the third biggest value? (a) -2 (b) 0 (c) u (d) 1/2 b Let r = 0.035374 - -3.964626. Let d be (-95)/75 - (-3)/5. What is the smallest value in 2, d, r, -0.5? d Let p = 9645/6502 + 54/3251. Let m be 13/(-9) + 0 - -1. Which is the fourth smallest value? (a) 0.04 (b) p (c) m (d) 1/3 b Let p = 5336/7 + -762. What is the smallest value in -0.03, p, -1/507? -0.03 Let g be 6/(-171)*(-3)/(-3 + 4). Let k = 29 + -26. Let m be (-57)/30 - (k - 3 - 2). Which is the second smallest value? (a) g (b) m (c) 4 a Let p be 1302/(-1395)*(-90)/21. Let m = -0.2 - -5.2. What is the biggest value in p, m, -5, -2? m Let t = 351 - 597. Let r = -244 - t. What is the smallest value in -4, 0.1, 3, r? -4 Let c be (-12)/8*(-3)/12*8/6. What is the second biggest value in c, -0.2, 5/2, 0.2, -4? c Let p be (-129)/(-45) + -3 + 92/15. Suppose -82 - p = -22*v. What is the third smallest value in v, 1/8, -11, -0.3? 1/8 Let o be (0 - (-3)/(-4))/(801/(-178)). What is the third biggest value in o, 7/6, -0.5, -0.2, 0.3? o Suppose -3*o + 131 - 101 = 0. Suppose o*k - 4 = 9*k. Which is the fourth smallest value? (a) -3 (b) 0.06 (c) -2/5 (d) k d Let x be 2/(-4)*3/(-2). Let i(z) = 3*z**3 + 3*z**2 - 20*z - 42. Let p be i(-2). Which is the third smallest value? (a) p (b) 11 (c) x
{ "pile_set_name": "DM Mathematics" }
to 4 dps? 0.0005 Let l = -98 - -82.4. Let x = -13 - l. Let b = 2.59999933 - x. What is b rounded to seven decimal places? -0.0000007 Let y(b) = -5250002*b - 4. Let m be y(-2). What is m rounded to the nearest 1000000? 11000000 Let a = 2.1 - 2.09893. What is a rounded to four dps? 0.0011 Let f = -253544 - -175887. Let j = f + 38657. What is j rounded to the nearest ten thousand? -40000 Let q = -16428480.6999913 - -16428475. Let k = -5.7 - q. Round k to six decimal places. -0.000009 Suppose -3*s - 9 = -4*s. Let g = s - 4. Suppose 0*x = -5*c - 3*x + 5006, 3*x + 4994 = g*c. What is c rounded to the nearest 10000? 0 Let i = 283 - 282.088. Let b = -2.917 + i. Let d = -2 - b. What is d rounded to 2 dps? 0.01 Let p = -1 - -1. Let u = -0.59906 + 0.6. Let k = p - u. Round k to 4 dps. -0.0009 Let k = -28881756 - -28881756.40000003. Let w = 2.4 + -2. Let u = w - k. What is u rounded to seven decimal places? 0 Let s = -1.728321 - 4.271697. Let k = s - -6. What is k rounded to five decimal places? -0.00002 Let c = 668.733 + -669. What is c rounded to 2 dps? -0.27 Let j be 613 + -3 - 0/4. Round j to the nearest 100. 600 Suppose 4*j + 11299992 = 5*x, 8823991 + 2476005 = 5*x - 2*j. Round x to the nearest 100000. 2300000 Let r = 0.55 - 0.7. Let c = r - -25.15. Let b = c + -25.0000079. What is b rounded to 6 dps? -0.000008 Let d be (33 - -1)/(2/600). Round d to the nearest one thousand. 10000 Suppose -l - 4*l + 2020 = 0. Let r = l - 604. What is r rounded to the nearest one thousand? 0 Let l be (-149100009)/21 + (-72)/28 + 3. What is l rounded to the nearest one million? -7000000 Let l = -196 - 164. Let d be 1770/4*l/(-27). Round d to the nearest one thousand. 6000 Let f(s) = 1209999*s**3 - 2*s**2 - s. Let g = 14 + -15. Let t be f(g). Round t to the nearest one hundred thousand. -1200000 Suppose -2*d - 2100000 = d. What is d rounded to the nearest 100000? -700000 Let d = -1.1 + 9.1. Let y = d + -8.000003. Round y to 6 dps. -0.000003 Suppose -3*p + 8765 = 2*g, -5*g - 993 + 22968 = -5*p. Round g to the nearest one thousand. 4000 Suppose 3*p + 2*p = -2*g + 78015, -4*g + 2*p = -155994. Round g to the nearest 10000. 40000 Suppose -22020 = t - 4618. Suppose -220741 = -2*i - 65937. Let s = i + t. What is s rounded to the nearest 10000? 60000 Let r = -5281621 - -181621. What is r rounded to the nearest one million? -5000000 Let h(l) = -l + 1. Let m be h(-2). Suppose -5*u = -m*n + 140985, n - 4*u = 61368 - 14380. Round n to the nearest ten thousand. 50000 Let a = 11.99922 - 12. Round a to four decimal places. -0.0008 Let k = -8.016 + -117.994. Let p = k - -127. What is p rounded to one dp? 1 Suppose -4*m = -0*m - 92800000. Round m to the nearest one million. 23000000 Let t = -5219955.9999984 - -5219952. Let l = t + 4. What is l rounded to six dps? 0.000002 Let l = -2.2 - -2.405. Let x = -33901373 - -33901372.79499907. Let m = l + x. What is m rounded to 7 dps? -0.0000009 Let o = 97.91931 - 34.9203. Let b = o - 63. Round b to 4 dps. -0.001 Let m = 0.46 - 58.46. Let b = 1074 + -1127.9. Let q = m - b. Round q to the nearest integer. -4 Let y = -11.89 - -16.88. Let w = -0.01 - y. Let t = w + 4.999954. What is t rounded to 5 dps? -0.00005 Suppose 5*a - 2*m = -9, 3*a + m + 2 = 1. Let r be 3 + a - (19690 + 12). What is r rounded to the nearest one thousand? -20000 Let o = -4006.8000064 - -4005.7. Let l = 1.1 + o. What is l rounded to six decimal places? -0.000006 Let i be (-1272)/7 - (-22)/(-77). Let r be ((-15000)/35)/(1/i). Round r to the nearest 10000. 80000 Suppose 0 = -y - 3*z - 2*z + 10343130, -5*y + 51715673 = 2*z. Let o = 7143135 - y. Round o to the nearest 1000000. -3000000 Let c = 2744 - -1126. Suppose -4*j = -c + 15470. What is j rounded to the nearest 1000? -3000 Let f = -1 - -16.4. Round f to the nearest 10. 20 Let k = -46 + 45.9999924. What is k rounded to 6 decimal places? -0.000008 Let a(i) = 6*i - 3*i + 8*i**3 - i**3 + 3 - 5. Let n be a(-3). What is n rounded to the nearest one hundred? -200 Let r = -44 + 68. Let t = r - -21. Let i = t + -45.00000029. What is i rounded to 7 decimal places? -0.0000003 Let n(j) = -j**3 - 3. Let c be n(0). Let f be ((-100)/c)/((-2)/(-9)). What is f rounded to the nearest one hundred? 200 Let w = 0.325 - 0.23. Let j = 6.795 - w. Round j to 0 dps. 7 Let z = -0.003 + 17.803. Let q = z + -24.9. Round q to the nearest integer. -7 Let z = 3.34 + 29.06. Round z to zero decimal places. 32 Let n = -2606.05471 + 2606. Let c = n + 0.055. Round c to 4 decimal places. 0.0003 Let c = 413.0708 + -413. What is c rounded to two decimal places? 0.07 Suppose 10 = 3*x - 8. Suppose -4*j + 2*t + 2 = -x*j, j + 13 = -5*t. Suppose j*m - 6*m = -3640000. Round m to the nearest 100000. 900000 Let t = 47 + -57.4. Round t to the nearest integer. -10 Let o = -0.3 + 0.38. Let q = 0.0786 + 0.00188. Let m = o - q. Round m to 4 dps. -0.0005 Let i = 9998 - 6887. Let c = i + -2021. Round c to the nearest one hundred. 1100 Let v = -92 - 493. Let k be (-4)/(-16) - v/12. What is k rounded to the nearest 10? 50 Let w(g) = 789*g**3 - 4*g**2 + 2*g. Let v be w(2). Round v to the nearest 1000. 6000 Let a = 0.030195 + -0.03. Round a to five decimal places. 0.0002 Let u = 426.9733 + -427. What is u rounded to three dps? -0.027 Let i(u) = -u**2 + 13*u - 16. Let k be i(11). Let q be 4319992/(-24) - 2/k. Round q to the nearest ten thousand. -180000 Let l = 150 - 271. Let p = 111.2 + l. What is p rounded to 0 decimal places? -10 Let o = -42.0033075 - -3.212. Let t = o + 43.79130751. Let w = 5 - t. What is w rounded to seven decimal places? 0 Let d = 18.933672 + 0.057528. Let g = -19 + d. Round g to three dps. -0.009 Let s(l) = 10*l + 8. Let h be s(-8). Let c = 307 - 186. Let v = h + c. What is v rounded to the nearest 10? 50 Let y = 10.485 + 0.115. Let m = y - 9.193. Let d = 1.4 - m. Round d to 2 decimal places. -0.01 Let b be (-1)/3 + (-90906)/(-18). Suppose -4*n - n = -b. Round n to the nearest 100. 1000 Suppose 3*z - 4 = 2*z. Let r be 2/(-8) + 61365/z. Suppose -b - 341 = -r. What is b rounded to the nearest 1000? 15000 Suppose 4*p + 0*j - 6010 = -5*j, -4*j + 6008 = 4*p. Round p to the nearest 100. 1500 Let x = -333 - -9119. Let n = 8792.9967 - x. Let q = -7 + n. Round q to 3 decimal places. -0.003 Let r = 43 + -17. Let o = -25.99865 + r. What is o rounded to four decimal places? 0.0014 Let v = 633582 + -633582.2399926. Let n = v - -0.24. Round n to 6 dps. 0.000007 Let q be -11003 - (13 - 4)*1/(-3). Round q to the nearest ten thousand. -10000 Let u(k) = -2*k**2 + 18*k + 2. Let l be u(6). What is l rounded to the nearest ten? 40 Suppose 263494 = -5*w - 2*k, 0*k + 210797 = -4*w - k. Round w to the nearest one thousand. -53000 Let b be (-40)/(-6)*66/4. Round b to the nearest one hundred. 100 Suppose -2*p = -4804 - 2096. Let o be (1 - 12001)*p/(-9). What is o rounded to the nearest one million? 5000000 Let c = 20.9 - 10.5. Let w = -2301966.40067 - -2301956. Let p = w + c. Round p to four decimal places. -0.0007 Let z = 7.6 + -7.59999641. Round z to 7 decimal places. 0.0000036 Let b = -217.727 + 217.7470026. Let c = -0.02 + b. Round c to six decimal places. 0.000003 Suppose -3*o - o = -468000. Round o to the nearest ten thousand. 120000 Let d = 1.85 + -1.7. What is d rounded to 1 dp? 0.2 Let z be -2*(185/(-2))/5. Suppose -3*b + 5*f = -84, -3*f = 4*b - 2*b - z. What is b rounded to the nearest ten? 20 Let l = 0.77225983 - -0.00773027. Let w = -0.91 - -0.13. Let j = l + w. What is j rounded to six dps? -0.00001 Let l = -0.9 - -14.9. Let a = l + -14.0057. Round a to three decimal places. -0.006 Let y = -0.02 + -31.98. Let a = y + 45. Let f = a - 8.4. What is f rounded to zero decimal places? 5 Let b = -72.8 + 66. What is b rounded to the nearest integer? -7 Let y = -6.23743 - -0.08043. Let g = y + 0.057. What is g rounded to 0 decimal places? -6 Let c = -0.147 - 5.353. What is c rounded to the nearest integer? -6 Suppose -10*x + 2072000 = -17*x. Round x to the nearest 10000. -300000 Let k(v) = -873*v**3 + 3*v**2 + 9*v + 5. Let t be k(5). What is t rounded to the nearest 10000? -110000 Let s(c) = -2274905*c**3 + c**2 - c. Let w be s(-2). Let b = w - 11899246. Round b to the nearest 1000000. 6000000 Let u(a) = 544*a - 8. Let v be u(7). Round v to the nearest one thousand. 4000 Let y(
{ "pile_set_name": "DM Mathematics" }
of 3/(-2)*(-154)/(-11)? -21 What is 66/11*(355/71 - (-9)/(-2))? 3 (1392/(-128))/(6/8)*(-4)/2 29 Evaluate 0/((2 + (-25)/10)/((-7)/42)). 0 113/((-9492)/112)*(30/(-14))/(-1) -20/7 Calculate 676/1521*((-27)/(-2))/9. 2/3 What is 15 + 66/(-11) - (-12)/(-216)*161? 1/18 What is (-2852)/(-9982) + ((-46)/(-56))/(60/(-16))? 1/15 What is 38/76*(6 + -17)*2/6? -11/6 Calculate (-4)/(-7) + 1 + 50/(-70). 6/7 What is the value of (3*20/(-18))/(-4*1/(-6))? -5 Calculate 1290/215*1/(-6). -1 What is the value of (6/9)/(-2)*(-12)/12? 1/3 39/168 + ((-2)/8)/(126/(-72)) 3/8 (-10)/60*-8 - (7 + 185/15) -18 (3 - 4473/1617)/(9/42) 12/11 What is the value of (21/15)/((-636)/1060)? -7/3 What is the value of (-160)/(-24)*(-36)/16? -15 (-427 + 434)*(-1)/7 -1 What is 10/(-7)*104/(-1560)? 2/21 What is (-210)/(-24) + 1/((-9)/72)? 3/4 What is (0/5 - (-8)/2)/((-220)/825)? -15 Evaluate 398790/(-141120) + 20/7. 1/32 What is the value of 8 - (6 - 8 - -2)/(-1)? 8 Calculate -13*2*((-112)/32)/(-7). -13 What is the value of 77*(-18)/(-189) - 8 - 28/(-6)? 4 Evaluate 2/6 + ((-2505)/(-4095) - (-10)/(-14)). 3/13 33/(-18)*(-18)/132 + (-1387)/76 -18 What is the value of 1181/(-87394) - 1103/518? -15/7 Evaluate 4469/164 + (-20 - 7). 1/4 What is the value of (4/(-3) + 3 + -1)/(8 + -11)? -2/9 What is 210/(-40)*24/18 - 14? -21 What is (2/8 - 1122/136) + 7? -1 Evaluate (2/4)/(1513/(-178)). -1/17 Calculate (-88)/440 - (-3)/5 - 6/(-10). 1 What is (-3)/33 + (-168)/88? -2 Evaluate (-10)/21*(1*-5 - 8342/(-970)). -12/7 (-262)/2489 + 66/266 1/7 Calculate 2/((-6)/79) + (38 - (-4520)/(-120)). -26 (-5 - -3)*160/(-70) - (-16)/(-28) 4 (-48)/(-88) - (-9 - 1278/(-165)) 9/5 (6/(-9))/(-10*(-1)/(-45)) 3 Calculate ((-6624)/(-391))/(-4) - -4. -4/17 What is the value of (-1)/(-5 + 428/(-72) + 11)? -18 What is 36/(1944/90)*2/(-10)? -1/3 2/7 - 405/(-900)*90/42 5/4 Evaluate 40986/6072*16/(-6). -18 (14 + -6 - 7)*13 13 Calculate (-6)/(-12) + (-1 - 3/(-14)). -2/7 Evaluate (-6513)/(-668)*(-12)/(-9). 13 What is the value of (-40)/(-2 + (-11 - (-3 + -12)))? -20 What is the value of 3*(1 - 0 - (-10 + 7))? 12 What is the value of -8 + (16 - -4) + -32? -20 54/(-8) + -15 + 89 + -72 -19/4 (-192)/(-30) - (-12)/20 7 Evaluate (-4 + 2 - 280/(-8))/3. 11 (-1664)/260*(-90)/48 12 What is -2 + -1 + 2 - (-42 + 30)? 11 Calculate (-12 + 0)*2/(-4) - 256/40. -2/5 Evaluate (-42)/(-20) - 586/(-1465). 5/2 Calculate (11 - -5) + (-4 - (-7 + 1)). 18 (54/(-99))/(-6 + (-3608)/(-605)) 15 What is the value of 44/105 + 328/(-2460)? 2/7 What is ((-42)/189)/(5/(-30)*4)? 1/3 Calculate (-20)/(323/(-102) + (-2)/(-3)). 8 Evaluate 12*1/(1 + -8 - -4). -4 Calculate (-4)/50 + (-28851)/(-4075) - 67/10. 3/10 What is the value of 3 - (-7)/(63/(-54)) - (-12)/2? 3 What is (-236)/186 - (-116)/(-1798)? -4/3 Evaluate 10*(-20)/(1400/(-42)). 6 What is the value of 2090/1254 + (2/(-4) - (-29)/(-30))? 1/5 (-46)/207 + (-12)/54 -4/9 Evaluate (3 + 6)*(12 + (-1176)/108). 10 ((-1)/2)/((-186)/62) 1/6 What is (-190)/(-40) + 1/4 + (-54)/10? -2/5 Calculate 4/15*225/(-300). -1/5 Calculate 1 - ((790/(-136) - 9/36) + 7). 1/17 Calculate (-9 - -9) + 18 + (-104)/4. -8 What is ((-8)/(-64)*2)/(6/150) + -6? 1/4 Calculate (-12 + -2 - -4) + 17. 7 What is the value of (-7232)/(-452) - (-39)/(-3)? 3 1/(48/(-224)) + 5 1/3 (5/110)/((-128)/(-2816)) 1 What is the value of 11/(77/10)*7? 10 What is 1 - (10/(-160)*4 - (-52)/(-16))? 9/2 Calculate (60/(-105))/(4/6). -6/7 What is the value of ((-5)/80)/((-145)/116) + 2/(-15)? -1/12 Calculate 4/10 + 0/(-1) + 506/460. 3/2 Calculate ((27/16)/(-9))/((-66)/(-44)). -1/8 ((-2)/6)/(-15*((-68)/(-6) + -11)) 1/15 What is the value of 4366/(-28379) + (2 + -1 - 1)? -2/13 What is the value of 5/((-6 - (-57)/9)/((-39)/(-45)))? 13 What is the value of (-1)/(-12) - ((-3475)/60 + 36)? 22 ((-63)/56)/((-69)/368) 6 Evaluate -57 - (-8 + (4 - 25)). -28 ((-52)/(-78)*(-234)/48)/((-1)/4) 13 What is 13803/903 + 9/(-7)? 14 What is (15 - 23) + (-1)/(-1)? -7 Evaluate (162/96 + -2)/(6/24). -5/4 Evaluate 4 - ((0 - 3) + 963/107). -2 (-30)/(-3240)*18*3 1/2 What is 1*(2/(-4))/(19/38)? -1 What is (-230)/(-483)*-14*(-18)/10? 12 (-371)/714 - (333/(-54) + 6) -6/17 (-6)/(-16)*((-2212)/84 - -17) -7/2 Evaluate ((-4)/12)/(1/(-6) - 8/(-16)). -1 Calculate (-9709)/86583 + 1/21. -2/31 Calculate (0 - (-2)/(-4))/(2701/74 - 39). 1/5 Calculate (-9)/(-1) - (-3025)/(-330). -1/6 What is the value of -61 + 75 + 22/(-2)? 3 What is 39/(-3) - 390/(-39)? -3 Calculate (-6 - -46) + (-14 - -2) + -2. 26 What is the value of (30/(7 - 4) - (-4 - 6))/(-1)? -20 What is ((-12)/(-28) + ((-352)/(-28) - 10))/1? 3 -34*(-1)/(-2) - (3 - 2 - 5) -13 What is (35625/4275)/((-2)/6)? -25 104/6 - (-144)/108*(-1)/4 17 Evaluate 1*(-11)/(-22)*6 + -4 + -2. -3 What is 64/35 + 7 + (-35)/25 + -6? 10/7 (-9*(-1)/3)/(-8 - (-844)/104) 26 What is the value of (-17)/((-51)/15)*(-1)/(-2)? 5/2 Calculate ((-9671)/(-741) - -3) + -16. 2/39 Evaluate 18 - (-7 - -15) - 22. -12 (79/316)/((-1)/(-36)) + (-636)/68 -6/17 Evaluate ((-13)/(182/12))/(32/(-28) + 0). 3/4 Calculate 450/18 - 7 - 23. -5 (168/(-105))/(1050/125) -4/21 Calculate 6/(-9)*((-160)/(-30) - (-15)/(-18)). -3 Evaluate ((-70)/(-6))/(((-735)/(-18))/(-5) - -9). 14 Calculate (6992/3059)/(1/1*27/(-63)). -16/3 4/26 + (-10944)/832 -13 Calculate ((92/8)/(-1) - 6 - -10) + 11. 7/2 What is the value of (-36)/45 + (-160)/50? -4 What is the value of (-1*(-9)/(-30))/(-3)*15/(-6)? -1/4 (-44 + (-256)/(-6))*(2 + 26/(-12)) 2/9 What is the value of -6*41/1230*(-1 + 3 + -4)? 2/5 Evaluate (-3)/(17 + (-1725)/66 + 9). 22 Calculate 164/(-22) + (3/(-12) - 65/220). -8 What is (-2)/(75/10 - 7) + (-1368)/(-336)? 1/14 What is (-6816)/(-497) + (0 - 1) + -12? 5/7 What is (8/28 + 36/(-56))/((-935)/(-2244))? -6/7 What is the value of (-7)/(14/(-12)) - (384 - 355)? -23 Evaluate 1/6 - 12/(-108 + -36). 1/4 Evaluate (10/(-15))/2 + (-227)/39 + 6. -2/13 (-5)/(10/6) + 196/(-5 + 19) 11 What is 95/((-1710)/8) - ((-16)/(-45) + 0)? -4/5 Calculate -15*(-175)/(-2730)*-26. 25 (-9 + 3258/378)*18/12 -4/7 What is -2*1/(-4)*(-159)/(272685/196)? -2/35 Evaluate (132/40 - 3)/((-60)/50). -1/4 Calculate ((-8)/6)/(-56 + (-77166)/(-1377)). -34 What is 0 - 14/8 - 9405/(-380)? 23 What is ((-15)/6 - 0)*2124/(-590)? 9 6/(-30) - 858/(-440) 7/4 Calculate ((-13)/494*552 + 15)/(-2 - -5). 3/19 (4*(-119)/(-112) - 1)*-4 -13 What is 6/(-792)*-9*(-712)/267? -2/11 1358 + -1359 - (-2)/14*1 -6/7 What is the value of ((-5)/(-28))/(-1)*(-847)/(-242)? -5/8 What is (25/15 + -14 + 12)*(17 - -1)? -6 What is (-152)/532 + (-1144)/(-819)? 10/9 What is ((-4)/(-7))/(-114 - -116)? 2/7 (-80)/36 - (-32)/(-72) -8/3 What is the value of 5 - -2 - -117*(-24)/432? 1/2 Calculate ((-1)/2)/(2/36*9). -1 Calculate (-44)/198 + 6355/(-279). -23 What is 4/(-3) + 3090/90 + -24? 9 Calculate (-2)/(-12)*24*(-14)/(-448)*-1. -1/8 ((-2 - -1)*(-4)/(-6))/((-710)/213) 1/5 What is ((8/(-6))/(508/4953))/1? -13 Calculate ((-10)/(-8) - 1)*14852/(-63121). -1/17 Evaluate 5 - ((-13)/21)/((42/(-54))/7). -4/7 Evaluate 3/(-9)*(-2556)/330 + (-46)/253. 12/5 (-27)/3 + ((-170)/(-425))/((-2)/(-30)) -3 What is (-5)/(-1) + (-2331)/5291*11? 2/13 What is the value of (42/24 + 2)*(3 + (-10)/6)? 5 Calculate 114/304*(-6)/(-8)*16/27. 1/6 What is the value of (552/(-115))/((-8)/10)? 6 What is the value of (112/24)/((-35)/15 + 3)? 7 What is 15 + 1 + (-12780)/810? 2/9 Calculate ((-266)/(-152) - 2) + ((-99)/4)/(-3). 8 Evaluate 0/(1/(-1)) + (6 - -87 - 85). 8 What is the value of (-4)/10 - (-1576)/2955? 2/15 Calculate ((-690)/100 - -8)/(3/30). 11 (99/(-66))/(-8*21/14) 1/8 (-2)/(-11)*(130 + -240) -20 What is (1435/1230)/((-6)/(-12))? 7/3 (-36)/(-3)*(6/36)/(50/20) 4/5 What is (74 - 70)*(-1 + -1)/(-8)? 1 Calculate (8/18)/((-2)/9). -2 Calculate 7*3 - (-1184)/(-148). 13 What is the value of 9/2*(6/15)/((-3)/(-5))? 3 Calculate 56/((-98)/14) + 19. 11 Evaluate 5 - 30/(-21)*126/36. 10 Calculate (51 - 21840/432)*(-1 - (-10)/12). -2/27 Evaluate (4664/(-1908))/(4/18). -11 ((8/(-20))/(20/150))/((-3)/10) 10 What is (60/105)/((-2)/(-28))? 8 What is 1700/(-440) - (-36)/(-264)? -4 Evaluate (-1085)/(-10850)*1/((-3)/(-48)). 8/5 What is the value of 27/5 - (-54)/(-135)? 5 What is 673/1346 - (-4)/((-20)/(-3))*-5? -5/2 What is (-93 - -92) + (36/(-2) - (-1)/(-1))? -20 What is 11 + ((-44016)/(-154))/(-24)? -10/11 What is ((-510)/(-3400))/((-9)/(-6))? 1/10
{ "pile_set_name": "DM Mathematics" }
, 0.5, k? 0.5 Let x = 623.7 - 624.23. Let v = 20.7 + -21. What is the biggest value in -2, v, x? v Let d = 257.35 + -257.45. What is the second biggest value in -5, 5/3, -0.01, d, 0.08? 0.08 Suppose 143 = -79*y - 184 + 90. Which is the second smallest value? (a) 2 (b) -1/7 (c) -24 (d) y d Let y = 2741 + -2741.2. Let v = 0.9 - 1.2. Which is the third smallest value? (a) y (b) 4 (c) 4/81 (d) v c Let r be (28/(-252))/(10/(-18)). What is the second smallest value in 4, -5.7, r? r Let t = 589.9 + -619.9. Which is the second biggest value? (a) t (b) -2 (c) -86 a Let n = 776 - 5433/7. What is the smallest value in -3, n, -77? -77 Let l = -0.11 + 474.11. Let x = l - 479. Let k = 568/3861 - -2/297. Which is the second biggest value? (a) 2/5 (b) k (c) x (d) -2 b Let z be -3 - (-12)/(-4) - -3. Let f be 3 + 4 + z - 79. Let s be 22/(-18) - f/45. Which is the second smallest value? (a) 0.1 (b) 16 (c) s (d) -3 a Let i = -7736 - -7736.02. What is the fourth biggest value in -5, -2/5, -1/9, 1.7, i? -2/5 Let p = 368.4 - 352.4. What is the third smallest value in p, 2/15, 0.1? p Let f = 3617 - 3622. Let g = 115 - 258. Which is the smallest value? (a) 0.2 (b) f (c) g c Let u(x) = 24*x. Let i be u(2). Which is the third biggest value? (a) i (b) -5 (c) 0.1 (d) 1/4 c Let z(i) = -45*i - 6 - 2 + 33*i. Let l be z(-1). Suppose -2 = o - 2*o + 3*s, 6 = 3*o + l*s. Which is the second smallest value? (a) o (b) -1/2 (c) 0.2 c Let l be 2/2*(-2 - -3). Suppose 43*a = 26*a - 136. Let s be (a/84)/((-4)/6). What is the biggest value in s, l, -2? l Let m be 245/140 + 15/(-20). Which is the biggest value? (a) 0.2 (b) 498 (c) m b Let p = 3.94806 - -0.03494. Let g = p + 0.017. Which is the second smallest value? (a) 0 (b) g (c) 0.07 c Let h(p) = 4*p**2 + 12*p - 74. Let q be h(-6). Which is the biggest value? (a) -35 (b) q (c) -2/19 c Suppose 0 = -4*v - 0*v. Let p = 495.672 + -496. Let u = p + 0.028. What is the fourth smallest value in 6, u, v, 2? 6 Let a be 4/8*(-1 + -51). Let w = 37163 - 37167. What is the third smallest value in a, -1, w, 1/3? -1 Let w = 15.34 + -16.4. Let c = w - -1.16. What is the second biggest value in 0.5, 4/5, c, -0.05? 0.5 Let l = 0.1 - 0.2. Let i = 222 + 522. Let k = 740 - i. What is the second biggest value in k, -9, l? k Let q = 333.4585 - -0.0415. Let f = q + -333. Which is the smallest value? (a) -3 (b) 2/13 (c) f a Let n = -2008 - -2008.02. What is the fourth biggest value in n, 5, -2, 2/9? -2 Let v = 4.7879 - -0.2121. Which is the biggest value? (a) 1 (b) v (c) 94 c Let t = -0.112 + 53.712. Let c = -54 + t. What is the fourth smallest value in c, 18, -3, 1? 18 Let d be (-35)/(-784)*8*3*(-6)/15. What is the second biggest value in -4, -2/1149, d? d Let u be (200/(-18))/(-5)*(-140)/(-50). Which is the third biggest value? (a) u (b) 5 (c) 1 c Let m = -144250/7 + 1540277/77. Let z = m - -603. What is the second smallest value in -0.1, -0.2, z? -0.2 Let n = -11 - -33. Let y = 0.058 - 17.058. Let g = n + y. What is the second smallest value in g, 0.3, -12? 0.3 Let c = 8 + -8.07. Let d = c - 1.93. Let y = 417.4 - 417.9. What is the third biggest value in 3, d, y? d Suppose 14 = 4*v + 22, 607 = 5*b - v. Let q be 44/b + 67/(-33). What is the smallest value in -4, 0, q? -4 Let m(k) = k**3 + 5*k**2 + 4*k + 15. Let w be m(-5). Let d = 0.7 - 1. Which is the second biggest value? (a) 66 (b) d (c) w b Suppose -2*m + 583 = -663. Let d = 13039/21 - m. Let r = d - -8/3. Which is the biggest value? (a) r (b) 0.5 (c) -1 a Let x = 0.125 - 165.125. Let p = -164 - x. Which is the smallest value? (a) p (b) -2/7 (c) -1/5 (d) 48 b Let l = 42.06 + -41.06. What is the third smallest value in l, 0.5, -3/4? l Let x = 19156 - 19156. What is the second smallest value in 0.8, x, 1/7, -2? x Let p(f) = -116*f - 1073. Let x be p(-9). What is the second biggest value in -5, 7, x, -2? -2 Let u = 2 + -6. Let o = 0.3570107 - -0.0429893. Which is the third smallest value? (a) -1/5 (b) -0.5 (c) o (d) u a Let f = -11 - -15. Let v be 64/(-11) + 1040/(-5720). Let w = 4916/119 - 290/7. Which is the second biggest value? (a) w (b) v (c) f a Let t = -6.509 - -9.509. Which is the third biggest value? (a) 6 (b) t (c) -4 (d) 3/2 (e) 4 b Let f(n) = -n**3 + 2*n**2 + 7*n + 8. Let b be f(4). Let c = 170.7 - 285.7. What is the third smallest value in -2/5, b, c? b Let k(y) = -34*y + 11. Let j be k(2). Suppose 5*x - 5*g + 179 = -76, 3*x + 174 = -4*g. Let t = j - x. Which is the biggest value? (a) 0.4 (b) t (c) -2/15 a Let f = -1463 + 1462.7. Let s = 2.7 + -0.7. Let o = 1 - s. Which is the fourth biggest value? (a) o (b) f (c) -1.9 (d) 3 c Let t = -18 - -26. Let w be (-2)/(-72) - t/(-36). Let l be 9380/9648 - (-4)/(-18). Which is the smallest value? (a) l (b) -4/3 (c) w b Let f = 360792.94 + -357918. Let n = 2920 - f. Let q = n - 45. What is the smallest value in 2/3, 0.5, 2/5, q? q Let g = -21 - -78. Let d = -61 + g. Let k = d + 1. Which is the second smallest value? (a) 5/3 (b) 0.5 (c) k b Let s be (12/(-18))/(36 + -24). Which is the second smallest value? (a) 0.08 (b) s (c) 14 a Suppose 12*t = -32*t - 16*t. Which is the third biggest value? (a) t (b) -4 (c) 1/53 (d) -2 (e) -4/7 e Let m = -1254.4 + 1255.4. What is the second biggest value in -3/4, m, 0.2? 0.2 Let v = 683 - 3412/5. Which is the third biggest value? (a) -1/6 (b) v (c) -26 c Let y = 12308 - 12226. Which is the second biggest value? (a) -1 (b) 2 (c) y b Let r = -0.02 - -4.02. Let j = -20105 - -20105.11. Let w = 4 + -4.2. Which is the third smallest value? (a) w (b) j (c) r (d) -5 b Let m = -46.8 + 65. Let t = 20.2 - m. Which is the third smallest value? (a) t (b) -2 (c) -10 (d) 1 d Suppose 2*m = -3*u - 820, 4*u = -2*m + 193 - 1015. Let z be ((-2)/(-6))/(m/(-111)). Which is the second biggest value? (a) 2 (b) z (c) 0.4 c Let p = -52 + 60. Let v = 8.016 - p. Let g = v + -0.416. What is the second smallest value in 4, 0.4, g? 0.4 Let d = -531 - -531.244. Let k = -0.256 - d. Which is the third biggest value? (a) k (b) -35 (c) -0.2 b Let y = 8694.6 + -7956. Let g = y + -739. Which is the second biggest value? (a) g (b) 0.016 (c) 1/5 b Let p = 757/189 - 112/27. Which is the fourth smallest value? (a) 7 (b) 2 (c) -0.1 (d) p a Let q = -0.033 - 22.967. Let i = -28 - q. Let z = i - -8. What is the third biggest value in 0.5, -0.1, z? -0.1 Let a = -20203/9 + 2245. What is the third smallest value in 9, -74, a? 9 Let h be 1077846/(-792)*4/(-14). Let v = -389 + h. What is the fourth biggest value in -0.3, v, 9, -0.5? -0.5 Suppose -8*f + 57 = 97. Let w be 0*((-20)/f - 3). Let u be 1*-2*2/26. Which is the second smallest value? (a) w (b) 3 (c) u a Let s = 0.20949 - 0.18949. What is the smallest value in -0.4, s, -4, 18/7? -4 Let a = 1636 - 952. Let v = -822 + a. What is the second smallest value in -1/4, 2, -3, v? -3 Let l be ((-528)/594)/4 + (-40)/(-99). Suppose -2*w - 7 = 1. Let k = 2 - 3. Which is the second smallest value? (a) w (b) l (c) k (d) -13 a Let y(l) = 7*l**3 + 31*l**2 + 3*l - 26. Let r be y(-4). Which is the second smallest value? (a) r (b) -13.8 (c) 1/4 c Let p = 0.0408 + -46.5408. Let y = p - -46.2. What is the second biggest value in 4, -6, y, -1? y Suppose 14*j + j = -1770. Let g = 586/5 + j. Let x = -51 - -45. Which is the third smallest value? (a) x (b) 0.3 (c) g b Let s be ((-156)/(-16) - (-10 + 21))/(-1). Which is the biggest value? (a) 2/301 (b) s (c) 0.4 b Let t = 6.902 + -12.944. Let w = 0.042 + t. What is the second biggest value in -0.1, w, -5? -5 Let y = -120.34 + 120.74. What is the smallest value in y, 410, -3, 1? -3 Let n be -2 - 1*(-1 - 3). Suppose p = -3*b - 4 + n, 3*b + 6 = 0. Let v = 974 - 78892/81. What is the second smallest value in v, 5, p? p Let i = -4 - -5. Let g = 62 - 60. Let x be ((-17)/34)/(g*(-2)/(-4)). Which is the third biggest value? (a) i (b) -2/3 (c) x (d) -0.4 c Suppose -50*u = -174 - 76. What is the second smallest value in -0.163, -3, -1, u? -1 Let u = -2.324 - -2.224. Which is the fourth biggest value? (a) -2/9 (b) 3 (c) u (d) -21 (e) -4 e Let d = -7.699 - -326.999. Let k = -319 + d. Which is the third biggest value? (a) k (b) 0.4 (c) -4 c Let r be (-255)/2
{ "pile_set_name": "DM Mathematics" }
Suppose 4*h - 4*s = -4, -h = h + 5*s - 33. Solve h*u = 4*a + 4 + 12, -16 = -a - 3*u for a. 1 Let q(z) = -z**2 - 15*z - 9. Suppose 0 = 5*f + 6 - 91. Let s = f - 31. Let g be q(s). Solve 3*b = -i, -i + 8 = g*b - 2*i for b. 1 Let c = -33 - -36. Suppose -t + 3 = -2*g + 6, 5 = 4*g - c*t. Solve 3*o - 5 = 2*b, -4*o + 5 = g*b + 17 for b. -4 Let t = -47 - -151. Let l = t - 94. Solve -6 = 4*n + 5*m, n + l = 4*m - 2 for n. -4 Let w be 6/16 + (-1717)/(-136). Solve 0 = -l - t + 1, w = l - 3*t + 7*t for l. -3 Suppose 8*q - 19 = 29. Solve 8*j + q = -u + 7*j, -u = 3*j + 16 for u. -1 Suppose 94 + 1 = -5*c. Suppose -d + 2*g + 29 = 3*g, -64 = -2*d - 4*g. Let p = c + d. Solve h + 3*i = -3*h + 1, -h - 3*i + p = 0 for h. -2 Suppose -n = -2*r - 3*r - 3, -3*n + r = 5. Let u be (n - -1)*((-25)/5 - -2). Solve 0 = -4*z - m + 9 - 2, 0 = u*m + 3 for z. 2 Let w be (-1*(-16)/(-10))/(6/(-15)). Solve -w*h - 5 = r, 0*h + 4*h = 5*r - 23 for h. -2 Let p = 180 - 178. Solve p*m + 2*i = 4, i - 4*i = -2*m + 4 for m. 2 Suppose -h = -4*h + 6. Suppose -2*t + 2 + 3 = u, 0 = 5*t + h*u - 13. Let a be -8 - (-8 + 3 + (4 - 9)). Solve 2*m = -o - a + 6, 0 = -t*m + o + 6 for m. 2 Suppose -54*g = -93*g + 819. Solve 23*i - g*i - 3*p = 1, p = i for i. -1 Let k = -826 - -831. Solve -5*p + 10 = 0, -2*p = k*l + 1 + 5 for l. -2 Let y(z) = 4*z + 4. Let r be y(0). Suppose -k - r = -8. Solve -4*i - 2*j = -j + 12, -5*j = 4*i - k for i. -4 Suppose 0 = 11*a - 2*a - 234. Suppose -5*s = -s + k - 22, -4*s - 3*k + a = 0. Solve 0 = -5*h + 4*d - 15 - 1, 11 = -4*h + s*d for h. -4 Suppose 2*f = -2*f - 96. Let t be (-3)/f - ((-675)/(-40))/(-1). Solve -4*v + 8 = 2*k - k, 5*k - 3*v - t = 0 for k. 4 Let a = 3 - 0. Suppose -72 = -2*x + j, a*j - 161 = -5*x + 8. Let u = -58 - -58. Solve 3*q + 5*p - 3 = -u*p, x = -5*q + 5*p for q. -4 Let o(z) = -2*z**2 + 34*z - 80. Let v be o(3). Solve p = j + 1, -3*p - 5*j - v = -7*p for p. 1 Let g(f) = 9*f + 38. Let i(l) = -l**3 + 5*l**2 + 25*l - 12. Let d be i(8). Let p be g(d). Solve -p*z + 19 = -5*z - 2*q, -5*q - 10 = -5*z for z. -3 Let k be 1 + -1 - (8 + -12). Suppose -k*a + 3 = -9. Suppose t = a*j + 7, -2*t - 3*t + 17 = 3*j. Solve -5*u - 15 = 0, -t = -3*d + u + 14 for d. 5 Let o(g) = -17*g + 188. Let z be o(11). Solve 0 = n + i - z + 2, 3*i - 5 = n for n. -2 Let b(z) = z**3 - 3*z**2 + 3. Let g(y) = 2*y**2 + 9*y + 7. Let f be g(-4). Let v be b(f). Solve -5*k - v = 5*s + 2, 4*k = 5*s + 5 for s. -1 Let k(n) = n**3 - 4*n**2 - 14*n + 16. Let r be k(6). Solve -r*w = a - 3*w - 2, 0 = -5*w + 25 for a. -3 Let y = 113 + -67. Suppose -2*g + 47 = t - 2*t, -2*t = -2*g + y. Suppose -4*m + g = 2*j, 5*j + 5*m - 60 = -0*m. Solve -2*w - j = -2*o, -w = o + 2 - 0 for w. -4 Suppose -2*k + 3*r = -4, -4*k - 2*r + r = -8. Let l = k - 1. Suppose z - 4 = -0. Solve -3*s + h + l = 0, s + 26 = 4*s + z*h for s. 2 Suppose 5 = -4*c - 2*z + 3, -5*c + 20 = -2*z. Suppose -c*j - 3*o + 12 = 0, o + 7 = -j + 4*j. Solve 0 = -3*u + 2*u - t + 3, 0 = -u - 4*t + j for u. 3 Let f be 4 + 3/(6/(-4)). Suppose -4*d + 0*d = -28. Suppose -3*l - l = 5*w, 0 = 3*l + 2*w - d. Solve -4*y = -5*y - f*q + 3, y - l*q = 3 for y. 3 Let x be (-3 - -4)/((4 + -2)/98). Suppose -2*k - 13 + x = 0. Solve 2*r - 4*b + k = 0, 2*r + 9 = -r - 3*b for r. -5 Suppose -5*f + 10*f - 80 = 0. Suppose 5*x - 2*r = -14, 0 = -x - 5*r - 5 - 14. Let y = x - -10. Solve 3*m - 2*v + f = 0, -2*m + y*m - 2*v = -18 for m. -2 Suppose -3*t + 2*s + 12 = -23, 4*s + 37 = 3*t. Solve -5*b - 4 = -3*b + 2*q, 4*b + q + t = 0 for b. -3 Suppose -3*m - s = -2, -2*m = m + 2*s - 4. Suppose m = 5*h + 4*o - 16, 7*h - 16 = 4*h + 4*o. Let w = 4 - h. Solve 0 = 2*k + q + 4, -3*k + q + 4 = -w*q for k. 0 Let u = -13 - -23. Suppose u*t = 6*t. Solve -3*q - q - n + 17 = 0, t = -2*q - 4*n + 26 for q. 3 Let t(z) be the second derivative of 7/2*z**2 - z + 0 - 1/6*z**3. Let b be t(5). Solve d + 3*y + b = -6, -3*d + 4*y - 11 = 0 for d. -5 Let y = 778 - 774. Solve -2*h = h + 12, -h = y*x + 16 for x. -3 Let m = -42 + 47. Let j = m - 3. Solve 4*p = -2*r, -r - 1 = -j*r - p for r. 2 Let a = 1671 - 1652. Solve 2*m - 3*w + 15 = 0, 0 = -3*m + 5*w - a - 5 for m. -3 Suppose 4*f - 2*f = 6*f. Solve -3*b + o = f, 0*b - 5*o = -3*b for b. 0 Let p(y) = y**3 - 4*y**2 - 2*y + 12. Let i be p(4). Solve 2*s - 4 = -2*v - 18, -16 = i*v - 2*s for v. -5 Suppose 5*n - 5*b - 40 = 0, -5*b + 0*b - 24 = -3*n. Let t be 212/n - 9/(-6). Suppose 3*o + l - t = -2*o, o + 10 = 5*l. Solve -m = -3*m + 8, -9 = -o*g - m for g. 1 Let n be 4 - -1*(-1 - 15/(-3)). Suppose 9*z + n = 116. Solve 4*d - 4*i + z = 0, -d - 2*i + 6 = 4*d for d. 0 Let r(n) be the second derivative of n**5/20 - 5*n**4/12 + n**3/2 + n**2 - 4*n. Let d be r(4). Let k = 7 + d. Solve 2*f = -k*s + 7, -3*f + 5 = s + s for s. 1 Let c = 16 + -13. Suppose 0*f - 14 = -4*s + 2*f, 4*s - 9 = -3*f. Solve -3*h - s = c*p - 15, 2*p + 5*h = 20 for p. 0 Let a(n) = n**2 + 6*n + 3. Let g be a(-6). Suppose -3*c + 99 = -13*v + 8*v, -4*v = -3*c + 96. Let x = 29 - c. Solve -6*m = 2*y - g*m - 17, 4*y - 5*m = x for y. 4 Suppose 2*x + 0*x - 16 = 0. Suppose 3*q + 9 = 0, 2*q = -2*w - 2*q - x. Suppose n = 4*o + 29, -80 = 2*n - 5*n + 5*o. Solve b + 1 + 4 = w*y, -b = 4*y - n for y. 5 Let x(c) = -c**3 + 6*c**2 + 19*c - 23. Let r be x(8). Let b be (4 + -1 + 1)*r/2. Let s = 0 + 0. Solve 2*n - v + 4 - 6 = s, -2*v - b = -3*n for n. 2 Let r = -5 - -10. Let c be (-32)/(-18) - (-4)/18. Let n = -7 + 12. Solve -o - p = -r, 4*o - c*p + n - 1 = 0 for o. 1 Let r(h) = -h + 1. Let a be r(-3). Suppose 0 = -2*m + a*m - 8. Let f be (-15)/105 + 44/14. Solve -f*x - 1 = -m*d + 13, 2*x = 4*d - 12 for d. 2 Let c = 37 - 18. Let h = 22 - c. Solve -3*t - h*r = -t + 1, 5*t + r = 17 for t. 4 Suppose 799 = 7*p + 792. Solve z = -2*g - p, 2*z + 0 = -5*g - 1 for g. 1 Let x = -716 - -720. Solve -4*r + 20 = -x*k, r - 2*k + 1 = 7 for r. 4 Let h(b) = b**2 - b. Let u be h(0). Let k(c) = c + 5. Let s = 10 - 14. Let y be k(s). Solve 3*v = -a + 2, -3*v - 2*a + y - 3 = u for v. 2 Let n = 14 - 19. Let o be 7 + n - (2 - 0). Solve o = h - 2*f - 1, -h - 4*f = f + 20 for h. -5 Let p(z) = z**3 - 12*z**2 - 10*z + 5. Let x be p(13). Let q = x + -44. Solve -a - 2 = s + 2, q = 2*a - 2*s - 4 for a. -1 Let r = 55 + -23. Let u = -3 - -6. Suppose -i + 27 = 2*i - 3*j, u*i = 4*j + r. Solve 5*n - 21 = -i*v, 11 = 5*n + 3*v - 11 for n. 5 Suppose -j = 5*c - 61, -3*j + 0*j = c - 15. Suppose -c + 48 = 9*h. Solve 5*t = 5, u = -u - 4*t + h for u. 0 Suppose s = -2*y + 13, 2 = -3*s + y + 6. Let g(o) = -21*o**3 - 7*o**2 - 6*o + 1. Let b be g(-1). Solve 0 = 5*j + 4*u + b, -j = s*u - 6*u + 8 for j. -5 Suppose -o = 2*o - 9. Suppose 93 = 3*g - o*l, -41 = -4*g + 2*g - 5*l. Let k be 38/14 - (-8)/g. Solve 12 = -k*j, -2*j - 2*j - 12 = p for p. 4 Let x(m) = m + 8. Let q = 17 + -15. Let s be (q*-2)/(14/21). Let j be x(s). Solve j*t - 4*l = 10, 2*t = -4*l + 2*l - 20 for t. -5 Let m be (14/35)/((20/25)/4). Solve -5*n - 3*r - 13 = r, -5*n - 19 = m*r for n. -5 Let y(n) = -5*n + 42. Let p be y(8). Solve -p*i - 2*i + 15 = v, 3*v + 30 = 3*i for i. 5 Suppose 32 = -4*m + 260. Let d = -56 + m. Solve x + 4*j = -13, -x - j + d = -5*x for x. -1 Let a be 91/(-39)*(-6)/(-2). Let h = a + 12. Solve -4 = -5*o + 4*j - 24, h*o = j - 5 for o. 0 Let t(j) = -31*j - 401. Let n be t(-13). Solve -n*p = -3*m + 7*m + 10, -4*m + 5*p - 31 = 0 for m. -4 Let g = -91 + 91. Suppose -5*q + 12 = -k - k, g = -2*q + 4*k + 8. Solve 19 = q*i - 5*s, 0 = -4*i + s + 5 + 6 for i. 2 Let a(o) = o**2 - 3*o - 8. Let w = -54 - -59. Let b be a(w). Solve 6 = 3*j, 0*l - 5*j = b*l for l. -5 Suppose 3*j + 4*y + 7 = 0, -34 + 7 = -5*j + 3*y. Suppose 3*a - 30 = -j*a. Solve 4*z + 3*p + 15 = 0, 0*p + a = -5*p for z. -3 Suppose 3*h = 5*k + 75 - 227, -104 = -3*k + 5*h. Let v = k - 25. Solve 5*g + 2*d - 21 = 0, v*g + 3*d = 2*d + 12 for g. 3 Let o = -1951 + 1954. Solve -2*x - y + 0*y = -2, 5*x - o*y + 6 = 0 for x. 0 Suppose -125 = 4*u - 9*u. Suppose 3*g = 2*a + 10 + 12, -u = 5*a. Solve g*t - 1 = -4*b - 13, 5*t = 3*b + 1 for t. -1 Let j be -1 - (-14 + -4 + 6). Suppose 0 = -4*p + 9 + j. Solve -p*d + i = 16 + 11, 0 = -2*d - 2*i - 6 for d. -5 Let p = 2 + 2. Let n = 10 + -5. Suppose -24 = -n*z + 1. Solve 4*t + z*h = -9, -2*h + 10 = t + p*t for t. 4 Let x = 20 - 23. Let t be 13/(-2) - x/6. Let o(m) = -m - 4. Let p be o(t). Solve p*i = -0*i + v - 1
{ "pile_set_name": "DM Mathematics" }
n? 672*n**2 + 4*n Suppose 0 = -8*h + 3*h - 90. Let d be 60/27 + 4/h. What is the derivative of 2*t - t + d*t + 2*t - 2 wrt t? 5 Let p(q) be the first derivative of -28*q**5/5 - q**4 + 52*q**3/3 - q + 235. What is the third derivative of p(t) wrt t? -672*t - 24 Differentiate 31 + 4 + 5406*n**3 - 5433*n**3 + 26 wrt n. -81*n**2 Suppose -5*x + x = -2*g + 24, -3*g + 26 = -x. Suppose 0 = -11*q + 2*q. Find the first derivative of -1 - 1 - g*s + q wrt s. -8 Let a(n) be the third derivative of -n**8/420 - 3*n**4/4 + 3*n**3/2 - 9*n**2. Let c(z) be the first derivative of a(z). Find the first derivative of c(x) wrt x. -16*x**3 Let s(m) be the second derivative of -743*m**4/12 - 419*m**2/2 - 637*m. Differentiate s(t) wrt t. -1486*t Suppose 6*l - 3*s - 39 = 4*l, -2*s = 4*l - 54. What is the second derivative of d**3 + 3 - 3 + 7*d + l*d**3 wrt d? 96*d Let o(z) be the first derivative of 0*z**2 + 0*z + 0*z**4 - 14 - 25/3*z**3 + 2*z**5. Find the third derivative of o(g) wrt g. 240*g Let w(u) be the first derivative of -u**7/7 - 17*u**6/3 + 21*u**3 - 14. Find the third derivative of w(a) wrt a. -120*a**3 - 2040*a**2 Suppose 9 = 2*o - 1. Suppose 0 = -2*u - 2*u + 12. Find the third derivative of 5*y**5 + 2*y**2 + u*y**o - 4*y**5 wrt y. 240*y**2 Let b be (0 + 3)*4/(-12)*-4. Let m(j) be the second derivative of 0*j**2 - 5/12*j**b + 1/4*j**5 + 4*j + 0 + 0*j**3. What is the third derivative of m(s) wrt s? 30 Let p(o) = o**2 + 1. Let k(i) = -19*i**2 - 28 + 52 + 12*i**3 - 27. Let z(m) = k(m) + 3*p(m). Find the third derivative of z(u) wrt u. 72 Suppose 0*a - 3*a = 0. Let j(n) be the first derivative of 2 + 31*n + 2*n**2 - 33*n + a. Find the first derivative of j(h) wrt h. 4 What is the second derivative of 4*p + 7 + 10 + 2 - 88*p**4 - 4 wrt p? -1056*p**2 Let t = -46 - -51. Let m(k) = -k**2 - k - 1. Let g(s) = -11*s**2 - 2*s + 5. Let q(c) = t*m(c) + g(c). Find the second derivative of q(a) wrt a. -32 What is the third derivative of -4 + 2 + 56*m**2 + 1 - 87*m**3 + 51*m**3 wrt m? -216 Let n(w) = 4*w + 11. Let l be n(3). What is the second derivative of -4*i + 14 - 6 + l*i**2 - 8 wrt i? 46 Let l = -2570 - -2577. Let r(g) be the first derivative of 10 + l*g - 1/2*g**2. What is the first derivative of r(t) wrt t? -1 What is the derivative of -13*h - 549*h + 252 + 109*h wrt h? -453 Let y(p) be the third derivative of p**6/30 - 3*p**5/10 + 7*p**4/2 + 253*p**2. Find the second derivative of y(j) wrt j. 24*j - 36 Suppose 4*q + 24 = 4*h, -5*h = 14*q - 11*q - 46. Let s(p) be the first derivative of h*p + 0*p**3 - 5/4*p**4 - 2 + 0*p**2. Differentiate s(d) wrt d. -15*d**2 Let s(p) = -2*p - 9*p**2 - p**3 - 6*p**2 - 2 + 13*p**2. Let b be s(-2). What is the derivative of 13 - 7 - 7*j**2 + b*j**2 wrt j? -10*j Let j(t) = -t**3 - t**2 + 2*t. Let v(m) = -273*m**3 - 4*m**2 + 8*m - 55. Let u(f) = -4*j(f) + v(f). Differentiate u(n) wrt n. -807*n**2 Let o(m) = 2*m**2 - 5*m - 3. Let n = 7 - 5. Let x = -3 + n. Let d(q) = q. Let i(p) = x*o(p) - 5*d(p). Differentiate i(r) with respect to r. -4*r Let x(f) = 28*f - 31. Let d(r) = -29*r + 29. Suppose 31 - 39 = -4*n. Let p(i) = n*d(i) + 3*x(i). Differentiate p(w) wrt w. 26 Let d(g) be the second derivative of -138*g**5/5 - 28*g**4 - 2*g + 186. What is the third derivative of d(j) wrt j? -3312 Let h(c) be the third derivative of 5*c**7/21 - 55*c**4/6 + 2*c**2 + 118. What is the second derivative of h(r) wrt r? 600*r**2 Let h(n) be the first derivative of -n**3/3 - n**2/2 + 36. Let x(g) = 18*g**2 - 13*g. Let w(v) = -6*h(v) - 2*x(v). Find the second derivative of w(q) wrt q. -60 What is the first derivative of 0*d**3 - 11 + 101*d**3 + 44 wrt d? 303*d**2 Let d(i) be the second derivative of -i**5/15 + i**4/3 + 7*i**3/3 - i. Let w(r) be the second derivative of d(r). Find the first derivative of w(a) wrt a. -8 Let j(f) = f**2 + f - 4. Suppose 0 = 4*v - 12, 5*h + 6 = -6*v + 3*v. Let p be j(h). Find the second derivative of -m + 3*m + 0*m - 2*m**p wrt m. -4 Suppose -4*i = v + i - 31, 3*v + 5*i - 43 = 0. What is the third derivative of -713*x**5 + 713*x**5 - x**v + 13*x**2 wrt x? -120*x**3 Let q(w) be the third derivative of 2/3*w**4 + 0 + 12*w**2 + 0*w**3 + 13/60*w**5 + 0*w. What is the second derivative of q(k) wrt k? 26 Let v(x) be the first derivative of 158*x**5/5 + 139*x**3/3 - 254. What is the third derivative of v(l) wrt l? 3792*l Let o(b) = 19*b**2 - 23. Let m(s) = -s**2 - s. Let a(l) = 2*m(l) + o(l). Differentiate a(w) wrt w. 34*w - 2 What is the second derivative of -40*v - 7*v - 19127*v**2 + 19052*v**2 wrt v? -150 Let f(b) = b**3 - b - 1. Let k(x) = 7*x**3 - 16*x**3 - 4*x + 11 + 5*x + 4*x. Let z(d) = 10*f(d) + 2*k(d). Differentiate z(r) wrt r. -24*r**2 Let i(o) = -o**3 - 46*o**2 + 2*o - 83. Let a(l) = l**3 + 47*l**2 - 3*l + 85. Let n(y) = 6*a(y) + 7*i(y). What is the second derivative of n(p) wrt p? -6*p - 80 Let c be (2/6)/((-1904)/636 - -3). Find the first derivative of c*g - 32*g + 1 + 1 wrt g. 21 Find the first derivative of 1859*a**3 + 1715*a**3 - 3339*a**3 - 2*a**4 - 329 wrt a. -8*a**3 + 705*a**2 Let c = -1/25 - -31/150. Let t(f) be the second derivative of 0 - 4*f + c*f**4 - 3/2*f**2 + 0*f**3. What is the first derivative of t(z) wrt z? 4*z Let u(s) be the third derivative of 7/3*s**3 + 24*s**2 + 0*s**4 + 0*s + 0 + 1/60*s**5. What is the derivative of u(m) wrt m? 2*m Suppose 0 = -5*q + 3*q + 10. Find the third derivative of 17*r**2 + 23*r**q + 8*r**2 - 72*r**2 + 18*r**2 wrt r. 1380*r**2 Let w(i) = -3*i**2 - 6*i. Let j(s) = -1. Let q(y) = -12*j(y) - w(y). What is the first derivative of q(g) wrt g? 6*g + 6 Let m be -4*((-3)/(0 - -3))/1. Differentiate 1 - m*g**3 - 4*g**3 - 3 + 6*g**3 with respect to g. -6*g**2 Let m(l) = 22*l**3 - 7*l**2 + 176*l + 3. Let u(z) = 21*z**3 - 6*z**2 + 178*z + 2. Let i(p) = 2*m(p) - 3*u(p). Find the second derivative of i(n) wrt n. -114*n + 8 What is the third derivative of 79*d**6 - 7*d - 164*d**6 - 125*d**2 + 86*d**6 + 35*d**4 + 3*d + 2*d wrt d? 120*d**3 + 840*d Let a = -88 + 93. What is the third derivative of 4*d**2 + 21*d**a + 41*d**5 - 82*d**5 wrt d? -1200*d**2 Let l(o) = -51*o**2 + 160*o - 4. Let c(t) = 155*t**2 - 479*t + 14. Let i(k) = -2*c(k) - 7*l(k). Find the second derivative of i(a) wrt a. 94 Let b(g) = 2254*g**4 + 16*g - 320. Let n(y) = 451*y**4 + 3*y - 64. Let j(a) = 3*b(a) - 16*n(a). What is the first derivative of j(s) wrt s? -1816*s**3 Suppose 2*v + c = 3*v - 1, 5*c - 7 = 2*v. Find the second derivative of -s + 26*s**4 - 6*s**v - 16*s - 4*s wrt s. 240*s**2 Let x(a) be the second derivative of 23*a**6/10 - 7*a**2/2 - 10*a. Find the first derivative of x(t) wrt t. 276*t**3 Let g(o) = -o**2 - 10*o - 4. Let n be g(-9). Suppose -2*h = 4 - 20. What is the third derivative of -3*d**2 + h*d**6 + d**2 - 6*d**5 + 6*d**n wrt d? 960*d**3 What is the derivative of -245*l + 116*l + 255 + 127*l + 48*l**2 + 662 wrt l? 96*l - 2 Let h(m) = m + 1. Let s be h(7). Suppose 5*v = -5*y + 5, 4*y = 3*v - v - s. What is the third derivative of a**5 - 2*a**5 + 7*a**5 - a**v wrt a? 360*a**2 Let h(q) be the second derivative of 31*q**4/4 - 41*q**3 + 172*q. What is the second derivative of h(n) wrt n? 186 Let u(j) = j**3 + 6*j**2 + 5*j + 2. Let a be u(-5). Find the second derivative of -786*z**a + 786*z**2 + 12*z**4 - 9*z wrt z. 144*z**2 What is the second derivative of 11*d**2 - 11*d**2 - 16*d**2 - 32*d**2 - 4*d wrt d? -96 Let f(v) = -v - 10. Suppose -r + 3*x - 11 = -2*x, 0 = -3*x + 9. Let u(b) = -b - 9. Let w(d) = r*u(d) - 3*f(d). What is the first derivative of w(q) wrt q? -1 Let c(h) be the second derivative of 11*h**6/30 - 53*h**2 - 32*h + 2. Find the first derivative of c(x) wrt x. 44*x**3 Find the second derivative of 2*b**2 - 5*b - 10*b**3 + 2*b + 0 + 0*b - 7 wrt b. -60*b + 4 Let w(j) = -11*j**2 + 12*j**2 + 0*j - 2 - 5*j. Let n be w(6). What is the second derivative of 0*q**3 - q + n*q - 2*q + 8*q**3 wrt q? 48*q Let q be (16/(-32))/(1/(-4)). Find the first derivative of 0*t**2 - t**2 - 1 - 3*t**q - 7 wrt t. -8*t Suppose 5*u = -2 + 17. Suppose -4*y + 5*s = -45, -1 = -4*y - u*s + 4. What is the second derivative of 10*p + 3*p - 7*p - 4*p**y wrt p? -80*p**3 Suppose 3*i + 5*k = 0, -2*i - i + 2*k + 21 = 0. What is the third derivative of -i*n**3 - 5*n**3 + 4*n**3 - 4*n**3 - n**2 wrt n? -60 Let m(c) be the third deriv
{ "pile_set_name": "DM Mathematics" }
- s = -3*k, 2 = 2*k + p for k. 0 Let r be (-52)/(-20) + (-6)/(-15). Solve 2*t + 3*i + 9 = 0, 0 = r*t + i + 6 + 4 for t. -3 Suppose l = 3*l - 10. Let a = -4 - -9. Suppose 0 = -3*t + 4*w + a, 4*t - w - 8 = 3*w. Solve -y + 2 = l*o - t, 5*o + 3*y = 5 for o. 1 Suppose 0*n - n = -3. Suppose 0 = n*t - 11 - 1. Solve -2*b - 16 = -t*f, -3*f + 3*b + 16 = 4 for f. 4 Let p(v) = 5*v - 4. Let s be p(6). Solve 4*k + 3*o - o = s, o = 2*k - 7 for k. 5 Let g(w) = -w**2 + 8*w - 4. Let i be g(9). Let o = -24 - -42. Let j = o + i. Solve -2*v + j*b = 16, -v = -3*v - 2*b + 12 for v. 2 Suppose 0 = -0*r - r + 3*h + 6, 2*h + 8 = 2*r. Solve -2*v - 4*b = 20, 0 = -3*b + 4*b + r for v. -4 Let g = -16 + 18. Suppose g*s + 4*a = a + 24, -3*s + a + 47 = 0. Solve -2*x + 7*x - 25 = 0, -x - s = 5*k for k. -4 Let l(g) = g**3 + 6*g**2 - 10*g + 10. Let x be l(-8). Let a = x + 57. Solve -2*m - 3*r + a = 0, -4*r - 20 = -5*m - 7 for m. 5 Suppose 2*c + 3*i - 8 = 5*i, -10 = -3*c + 2*i. Solve -p + 5*p - 35 = 5*j, 2*p - 4 = -c*j for p. 5 Let k = 2 - -1. Suppose k*p - p = 38. Suppose -b = -3*b. Solve 3 = m, 5*m - p = -v - b*m for v. 4 Suppose -2*g = -6*g + 16. Suppose 3*h - 8 = -g*z + 7, -5*h = 4*z - 25. Solve z = 3*c + r - 6 - 14, 4*c = -r + 25 for c. 5 Let x = 11 - 5. Let y = x - 4. Suppose 3*j = f - 23 + 58, y*j + f = 15. Solve 0 = -5*s - 0*z + 5*z - j, -3 = -2*s - 5*z for s. -1 Let b be (1 - 3)/(4/(-6)). Suppose -2*i - b*i + 45 = 0. Let x = i + -5. Solve -4*h = -4, x*j - 3*h - 9 = -0 for j. 3 Suppose 0*w + 2*w = -2. Suppose -5*x - 30 = -5*u, 3*x - 2*x + 18 = 4*u. Let o = w + u. Solve 0 = 5*h, -2*h + 1 = -z - o*h for z. -1 Suppose 9*u - 21 = 2*u. Solve 12 = -4*w, 4*a - u = -0*w + w for a. 0 Let h(c) = c**2 + 9*c + 13. Let b be h(-11). Suppose 4*m = -2*z - 0*z + 22, -4*z + b = 5*m. Solve 3 = 3*l - 3, -m*l = -s - 4 for s. 2 Suppose -4*v - 5*z - 5 = 0, -5*z + 4*z = v. Solve 0 = -3*p - 0*p - v*o - 15, 4*p + 4*o + 20 = 0 for p. -5 Let x(l) = -l**3 + 4*l**2 + 2*l - 5. Let t be x(4). Solve 0 = 3*z + t*j, 4*j + j = -2*z for z. 0 Suppose 2*w = -w + 81. Let y be (w/(-6))/3*-2. Suppose -2*r = -2*m + 21 + 13, y*r = 2*m - 31. Solve -3*d - 7 = -3*g + m, 5*g + 2*d = 17 for g. 5 Let m(t) be the third derivative of t**4/12 - t**3/2 - t**2. Let a be 1*(-1 + 0 + 4). Let n be m(a). Solve 4*i = -j + 11, -2*j - 2*i + 7 = -n*j for j. -1 Let j be 5 - 42/12 - 3/(-2). Solve -4*p - j*t - 8 = t, 5*p = 5*t for p. -1 Suppose 0 = -8*a + 11*a - 27. Solve -4*j + 27 = 5*f, 2*j = f - 2*j + a for f. 3 Let n be 1/(-2) + 82/4. Solve 3*j + 8*f - 3*f - n = 0, 3*f = 5*j - 22 for j. 5 Suppose 2*x - 5 + 1 = 0. Solve 3*g + w = -7, x*g + 2 = 3*g - 4*w for g. -2 Suppose -26 = -3*z - 2*z - 4*p, 3*z + p = 10. Suppose 0 = -z*t + t. Solve 24 = -t*y + y + 4*s, -3*s - 1 = -4*y for y. 4 Let b = 12 - 9. Solve -b*x + 0*j + 22 = 5*j, 2 = 3*x - 5*j for x. 4 Let y = 2 + 0. Suppose 0 = y*m - 3*m + 4. Let b = 7 - m. Solve 2*c = -f + 3, 5*f + b*c = -0*c + 15 for f. 3 Let u be 4/12*(0 - -57). Let o be (-50)/(-18) + 8/36. Suppose -2*y + o*y = 2. Solve -3*s = y*i - 0 - 3, -4*s - u = -5*i for s. -1 Suppose 0 = 16*x - 17*x. Solve 5*f + 3*d - 17 = x, -f - 2*d + 6 = f for f. 4 Suppose -5 = -4*x + 3. Solve -2*p + 5*b + 6 = 0, 0 = x*p - 0*b + 5*b - 6 for p. 3 Suppose 4*i - 75 - 33 = 0. Solve -i = -o - 5*s - 12, 0 = -3*o + 3*s - 27 for o. -5 Suppose -2*m + m - 4*q = 11, 0 = -2*m - 3*q + 3. Let l = 52 + -30. Solve 4*a - l = 3*n, 4*a - 3 = -2*n + m for a. 4 Let k = -31 - -39. Solve 7 = 4*c - z + 2*z, 2*c - k = -2*z for c. 1 Suppose 25 = 7*k - 2*k. Suppose p = k*b - 23, 6 + 18 = 3*b - 4*p. Solve -12 - 24 = 4*l + b*o, -l - 4*o - 24 = 0 for l. -4 Let g(h) = -h - 6. Let c be g(-14). Solve b + c = 2*l - 1, -4*b - 6 = 2*l for b. -3 Let q = 11 + -6. Suppose -q*w = -2*g + 6 - 20, -5*g = -w - 11. Let j = 3 - -9. Solve 3*h = -3*u - j, u - 3 = h + g for u. 1 Let v(t) = -2*t**3 - 4 + 0 + t**3 - 2*t - 5*t**2. Let y be v(-5). Solve 4*g = 4*z - 20, 4*z - 2*g = y + 4 for z. 0 Let i be (-10)/35 - (-128)/7. Suppose -3*r + 4*k - i = k, -5*k = -3*r - 18. Let y be 3*(0 + (-8)/r). Solve 0 = 2*v + 6*j - j + 17, v - y*j = 24 for v. 4 Suppose -3*o - 2*o = 3*i - 40, 5*o = 5*i. Solve 0*v = -v - 3*d - 2, i*v - 3*d - 26 = 0 for v. 4 Suppose -m + 0*p - 21 = -p, 0 = 3*p + 12. Let v = 38 + m. Solve 5*q + 2 = 3*d, 4*d - v = -2*q + 7 for d. 4 Let v be 11 + (-5)/((-5)/(-1)). Solve 5*t = 4*t - 3, 5*t + v = 5*h for h. -1 Suppose 3*p + p - 36 = 0. Solve 4*v + p = -a, 2*v - 5*v + 6 = 5*a for v. -3 Suppose 30*o = 7*o + 437. Suppose -1 + 7 = 3*z + 3*b, 4*z - 4*b + 24 = 0. Let i be (2 - 1)*(-6)/z. Solve 2 = 5*g - 7*u + 3*u, -5*g = i*u + o for g. -2 Suppose -m + 0*m = 0. Solve 2*j + 0*j = -5*t, 3*t - 2*j = m for t. 0 Let c = -5 + 10. Suppose 13 + 32 = 5*m. Solve -l = -c*z - m, 7*z + 13 = 2*l + 2*z for l. 4 Let t be 462/44*(-5)/(30/(-4)). Suppose 8*k - 3*k = 10. Solve -q + 3*c = -t, -c - k*c = 4*q - 13 for q. 4 Let x(c) = c**2 - 10*c + 10. Let a be x(9). Let k = 1 + a. Solve -3*i - 13 = k*v, -i = 5*v - 4*i - 20 for v. 1 Suppose -7*x - 72 = -11*x. Let t = 23 - x. Solve 0*q + 5*p - 11 = q, 3*q + t*p - 7 = 0 for q. -1 Suppose 4*g + 3*c = c + 10, 2*c + 17 = 5*g. Solve g*a = 3*i - 4*i - 16, -3*a - 32 = 5*i for i. -4 Let o(c) = c**3 + 5*c**2 - c - 4. Let d be o(-5). Solve 4*i + 4*z = -d - 31, 17 = i - 4*z for i. -3 Suppose v = -2*v. Solve v*c - 5*z = 2*c - 18, -3*c + 20 = 4*z for c. 4 Suppose 2*h + 4*j - j - 28 = 0, -4*h = -j - 70. Let k = 38 - h. Solve -d + w = 4, -d + 0 = 4*w - k for d. 1 Let m = 41 - 36. Solve -m*h = -4*t - 8, 0*t - 3*h = 2*t - 18 for t. 3 Let h be -2 + 3/6*4. Suppose -3*o + 50 - 17 = h. Let x = 16 - o. Solve -x*p + d + 2*d + 25 = 0, -p + 5*d = -27 for p. 2 Suppose o = 2*z + 34, -61 = -2*o - 5*z + 2*z. Solve o = 4*w - 3*m, -2*m + 20 = 5*w + 3 for w. 5 Let b = -15 - -63. Let z be (-1)/(1 - b/46). Suppose 0 = -5*o - 8 + z. Solve -2*w - a + 4 = 0, o*a + a - 2 = -w for w. 2 Suppose 0 = t - 4 - 1. Solve 4*o = 5*x - 24, -7 - 2 = -x + t*o for x. 4 Suppose 0*z + 32 = 2*z. Suppose 2*k + 2*k = z. Suppose 7 - 19 = -k*d. Solve 0 = -d*l + 2*c + 11, -5*l - 2*c + 10 = -3 for l. 3 Suppose -11*o + 1 + 21 = 0. Let s(v) = v**3 + 8*v**2 - 2*v - 7. Let q be s(-8). Let n be (3 - 1) + 1 + 0. Solve 3*w = q, 0 = o*d + d - n*w + 12 for d. -1 Let k = 12 - 10. Suppose 0 = -n + 3*a + k, -a = -4*n + 22 - 3. Solve -3*f + 19 = 4*r, -n*f - 5 = -2*r - 2 for f. 1 Let r(y) = -y**3 + 9*y**2 - 14*y + 15. Let h be r(7). Solve -40 = 3*z + 5*f - h, -5*z + f - 23 = 0 for z. -5 Suppose 5*j + 2 = -2*u + 35, -5*j - u + 29 = 0. Let x = -4 + j. Solve -5*f + 4 = 5*t - x, -t + 10 = -2*f for f. -3 Let p be (6 - 5)*15/3. Solve -3*m - 4 = 2*b + 14, -p*m = 2*b + 26 for b. -3 Let g = -21 - -25. Solve -3*m - k - 6 = 0, -m + 5*m - g*k - 8 = 0 for m. -1 Let z be (-30)/(-4)*(-2)/(-3). Suppose -3*j - 5 = -20, -5*j = -4*c - 5. Solve 2*b + 12 = -c*y - b, -2*b - 8 = -z*y for y. 0 Let h(o) = o + 7. Let w be -1 - (-5 - 0) - -1. Suppose 3 = w*b + 28. Let c be h(b). Solve 5*v - c*g - 28 = 0, g = 7*v - 3*v - 20 for v. 4 Suppose -w + 1 = -5. Let s be 18/8 - 1/4. Suppose -w*k + 72 = -s*k. Solve -5*f - 27 = 4*x, x + 4*x = -f - k for x. -3 Suppose -4 = -2*j + 4. Let b(u) = u - 7. Let o be b(5). Let l = j - o. Solve 3*s = k - l, -s = k + 1 - 3 for k. 3 Let h(l) = l**3 - l + 3. Let d be h(0). Let g = -23 + 65. Let n = g + -14. Solve -d*m - m + 20 = -x, 3*x - 4*m = -n for x. -4 Let w(n) = 21*n**3 + n - 2. Let t be w(1). Solve 4*j - t = 0, -r - 3*j = -2*j - 1 for r. -4 Suppose 0 = 5*f - f. Suppose f = -6*d + 2*d. Solve 3*v - 1 = -4*x, 4*v - x + 5 + 0 = d for v. -1 Let s(k) = 2*k + 13. Let y be s(-5). Solve 14 = -4*z + 2*z - x, 3*z - 3*x + y = 0 for z. -5 Let q be 6*2/4 + -165. Let r be (-2)/5 + q/(-30). Let t be (1*-10)/(-2) + -1. Solve 22 = -t*l + 2*g, 0 = -l - g - r + 1 for l. -5 Let i be (3/(-6))/(2/8). Let f be 7*(-1)/(-3 - i). Solve -5*p = 4*b - 2, b + 4*p + 1 - f = 0 for b. -2 Let m(i) = 3*i - 40. Let k be m(15). Solve k*a = 5*o + 50, -2*a = 3*o - 4*a + 25 for o. -5 Let i = -17 + 26. Suppose -8*t + i*t = 4. Solve 0 = 5*o, 0 = -t*c + 2*o + o + 8 for c. 2 Let z be (-35)/(-7)*(0 + 1). Solve -v = -0*v + 5*b - 27, -z*v = -2*b for v. 2 Let a(v) = -v**2 - 8*v + 12. Let j be a(-9). Solve 0 = 3*f - 5*y + y + 8, j*y = -2*f + 23 for f. 4 Let f be (-300)/(-9) + (-
{ "pile_set_name": "DM Mathematics" }
110 Calculate prob of sequence rl when two letters picked without replacement from {n: 1, l: 1, r: 1}. 1/6 Calculate prob of sequence ss when two letters picked without replacement from flsffffsfxslwxsf. 1/20 Four letters picked without replacement from {b: 2, c: 2, d: 5, k: 2, l: 1, p: 2}. What is prob of sequence lkdk? 5/12012 Calculate prob of sequence suja when four letters picked without replacement from {r: 1, j: 2, s: 1, a: 2, u: 2, t: 1}. 1/378 Calculate prob of sequence mwmm when four letters picked without replacement from wwmggmgm. 1/140 Four letters picked without replacement from ohtiiitxihoovii. Give prob of sequence ohox. 1/2730 Two letters picked without replacement from puuupuuzpuppupu. Give prob of sequence pu. 8/35 Two letters picked without replacement from {x: 5}. Give prob of sequence xx. 1 Calculate prob of sequence goi when three letters picked without replacement from ghegiiqgqhio. 3/440 What is prob of sequence kqqk when four letters picked without replacement from {q: 3, k: 2}? 1/10 Calculate prob of sequence tt when two letters picked without replacement from {c: 3, t: 7}. 7/15 Four letters picked without replacement from pcpppmmppmcpmcvpv. Give prob of sequence mccm. 3/2380 What is prob of sequence sk when two letters picked without replacement from {s: 2, m: 1, k: 2, c: 4, d: 5, l: 1}? 2/105 Four letters picked without replacement from {n: 6, m: 13}. Give prob of sequence mmmn. 143/1292 Two letters picked without replacement from {i: 2, m: 3, x: 3}. Give prob of sequence mi. 3/28 Two letters picked without replacement from {e: 4, j: 2, m: 1, n: 2, t: 2, c: 3}. Give prob of sequence ej. 4/91 Four letters picked without replacement from ktztzrkkhxhzkhk. What is prob of sequence tkkz? 1/273 Four letters picked without replacement from {e: 2, u: 1, n: 1, q: 4, a: 1}. What is prob of sequence eqau? 1/378 Four letters picked without replacement from ecec. What is prob of sequence ccee? 1/6 Four letters picked without replacement from oyyyylfyltytyojytltt. What is prob of sequence tjtf? 1/5814 Calculate prob of sequence cncf when four letters picked without replacement from {c: 7, d: 8, n: 2, f: 3}. 7/3230 What is prob of sequence lm when two letters picked without replacement from lmmmmill? 3/14 Two letters picked without replacement from {r: 6, f: 7, p: 2, s: 2, n: 1}. What is prob of sequence fn? 7/306 What is prob of sequence af when two letters picked without replacement from {c: 1, f: 1, t: 1, a: 1, e: 1}? 1/20 What is prob of sequence dl when two letters picked without replacement from {y: 1, f: 1, d: 1, q: 1, l: 2, x: 1}? 1/21 Four letters picked without replacement from {r: 9, e: 3, j: 2, f: 2, c: 3, i: 1}. Give prob of sequence rfei. 3/6460 Two letters picked without replacement from {y: 1, k: 2, f: 1, u: 2, x: 1, p: 2}. What is prob of sequence yu? 1/36 Three letters picked without replacement from nlnpppnnppndxp. What is prob of sequence xdp? 1/364 Calculate prob of sequence vrvr when four letters picked without replacement from veeoorrovooowvvve. 1/1428 Two letters picked without replacement from {s: 1, v: 1, x: 1, d: 1, p: 1, b: 2}. Give prob of sequence vb. 1/21 Three letters picked without replacement from {b: 2, l: 9}. What is prob of sequence blb? 1/55 Calculate prob of sequence snno when four letters picked without replacement from {s: 1, o: 4, n: 2}. 1/105 What is prob of sequence nn when two letters picked without replacement from cncncccccccccccncc? 1/51 Four letters picked without replacement from mmmsmsmmmsmmmm. What is prob of sequence ssms? 1/364 Two letters picked without replacement from nxxnnxnnnnxnxn. Give prob of sequence xn. 45/182 Calculate prob of sequence rw when two letters picked without replacement from kzrwrazu. 1/28 Calculate prob of sequence vh when two letters picked without replacement from {k: 1, b: 9, v: 2, h: 1}. 1/78 Four letters picked without replacement from yggyyddygddgdgggg. Give prob of sequence gyyd. 1/119 Three letters picked without replacement from jqw. What is prob of sequence jwq? 1/6 Three letters picked without replacement from vvxxxxxxvxvxxx. What is prob of sequence vvx? 5/91 Four letters picked without replacement from gmmggmgmmmmmmmmmmmmm. What is prob of sequence gmgm? 8/323 Two letters picked without replacement from qwrff. What is prob of sequence fw? 1/10 Calculate prob of sequence arf when three letters picked without replacement from {r: 7, a: 2, f: 2, w: 7}. 7/1224 Calculate prob of sequence sswa when four letters picked without replacement from wfoswssfwtwstfoatwws. 1/969 Three letters picked without replacement from {x: 2, k: 1, f: 2, s: 1, h: 1}. What is prob of sequence fsk? 1/105 What is prob of sequence jch when three letters picked without replacement from cccjhchh? 1/28 What is prob of sequence aa when two letters picked without replacement from {a: 4}? 1 Four letters picked without replacement from {s: 4, i: 2, x: 2}. Give prob of sequence xxxs. 0 What is prob of sequence qq when two letters picked without replacement from qqquuuqququu? 5/22 Calculate prob of sequence dllv when four letters picked without replacement from {l: 8, d: 1, v: 2, t: 1, p: 2, e: 3}. 1/510 Two letters picked without replacement from {f: 2, c: 9, k: 5}. What is prob of sequence cf? 3/40 What is prob of sequence iq when two letters picked without replacement from wbjwwiwjqhjw? 1/132 What is prob of sequence mbmq when four letters picked without replacement from qmqmmmqqmmqmcmbqmmqb? 7/646 What is prob of sequence tt when two letters picked without replacement from {t: 7}? 1 Calculate prob of sequence keh when three letters picked without replacement from htqeeke. 1/70 Four letters picked without replacement from jjhjhjjxhhxh. Give prob of sequence hjxx. 5/1188 Two letters picked without replacement from vjgjjggjggggjkkkgkgk. What is prob of sequence vk? 1/76 Three letters picked without replacement from {y: 1, j: 2, q: 2, k: 5, n: 2, l: 1}. What is prob of sequence jyj? 1/858 Four letters picked without replacement from vvvvvvvoov. What is prob of sequence vooo? 0 What is prob of sequence joo when three letters picked without replacement from {o: 2, r: 1, j: 1}? 1/12 Four letters picked without replacement from {l: 3, d: 2, x: 3}. Give prob of sequence xxll. 3/140 Two letters picked without replacement from {b: 3, m: 17}. Give prob of sequence bb. 3/190 What is prob of sequence ddx when three letters picked without replacement from {d: 2, x: 8, v: 2}? 2/165 Two letters picked without replacement from {a: 3, e: 5, g: 3, i: 3, f: 2}. Give prob of sequence af. 1/40 Two letters picked without replacement from aamamammmm. What is prob of sequence am? 4/15 Two letters picked without replacement from zgzgzz. What is prob of sequence gz? 4/15 Calculate prob of sequence yf when two letters picked without replacement from hyfyyfhyhh. 4/45 Two letters picked without replacement from iiikkiiwwmiiiikmiww. Give prob of sequence mi. 10/171 Calculate prob of sequence pttt when four letters picked without replacement from tttp. 1/4 Three letters picked without replacement from {t: 12, g: 3}. What is prob of sequence tgg? 12/455 What is prob of sequence kukg when four letters picked without replacement from gkku? 1/12 Calculate prob of sequence qfj when three letters picked without replacement from {m: 4, j: 1, b: 2, f: 5, t: 1, q: 2}. 1/273 What is prob of sequence br when two letters picked without replacement from ibiererrrrrdi? 1/26 Four letters picked without replacement from {s: 10, x: 6, g: 4}. What is prob of sequence ssss? 14/323 Four letters picked without replacement from tatt. Give prob of sequence tatt. 1/4 Three letters picked without replacement from sasaasa. Give prob of sequence asa. 6/35 Two letters picked without replacement from bzbmm. What is prob of sequence zm? 1/10 Two letters picked without replacement from afafifafifafaibf. Give prob of sequence ib. 1/80 What is prob of sequence qh when two letters picked without replacement from aihqyiqyihqqhh? 8/91 What is prob of sequence ym when two letters picked without replacement from {y: 2, p: 4, r: 1, m: 5, s: 2, c: 1}? 1/21 Calculate prob of sequence qq when two letters picked without replacement from qtnllttqt
{ "pile_set_name": "DM Mathematics" }
he highest common factor of 114 and 969. 57 What is the greatest common divisor of 37 and 592? 37 What is the greatest common divisor of 8 and 1? 1 What is the highest common divisor of 144 and 63? 9 What is the greatest common factor of 3087 and 1071? 63 What is the greatest common divisor of 475 and 10355? 95 What is the greatest common divisor of 143 and 176? 11 What is the highest common factor of 150 and 825? 75 Calculate the greatest common factor of 204 and 36. 12 Calculate the greatest common factor of 46 and 27646. 46 What is the highest common divisor of 35 and 7805? 35 What is the highest common divisor of 3 and 5? 1 Calculate the greatest common divisor of 810 and 30. 30 What is the greatest common divisor of 876 and 12? 12 What is the greatest common factor of 184 and 5405? 23 What is the greatest common divisor of 416 and 39? 13 What is the highest common factor of 28652 and 232? 116 Calculate the highest common factor of 32 and 52. 4 What is the highest common divisor of 259 and 148? 37 Calculate the highest common factor of 360 and 280. 40 Calculate the highest common divisor of 136 and 1928. 8 Calculate the highest common factor of 1133 and 55. 11 What is the highest common factor of 9694 and 370? 74 Calculate the highest common divisor of 589 and 1209. 31 Calculate the highest common factor of 101 and 404. 101 What is the greatest common factor of 1189 and 41? 41 Calculate the highest common factor of 348 and 2581. 29 What is the highest common factor of 315 and 40? 5 What is the highest common divisor of 10 and 80? 10 Calculate the greatest common divisor of 72 and 198. 18 Calculate the greatest common divisor of 220 and 340. 20 Calculate the highest common factor of 1332 and 180. 36 What is the highest common divisor of 21842 and 67? 67 Calculate the highest common factor of 294 and 126. 42 Calculate the greatest common divisor of 18 and 4. 2 What is the highest common factor of 3 and 48? 3 What is the greatest common divisor of 492 and 156? 12 Calculate the greatest common factor of 344 and 3139. 43 Calculate the greatest common divisor of 5 and 965. 5 Calculate the highest common factor of 54 and 594. 54 Calculate the highest common factor of 1257 and 21. 3 What is the highest common factor of 560 and 4340? 140 What is the greatest common divisor of 783 and 45? 9 Calculate the greatest common divisor of 155 and 93. 31 Calculate the greatest common factor of 24 and 696. 24 What is the greatest common factor of 1400 and 12? 4 Calculate the highest common factor of 1225 and 100. 25 Calculate the highest common divisor of 230 and 80. 10 Calculate the highest common divisor of 342 and 4959. 171 Calculate the highest common factor of 30 and 2325. 15 Calculate the greatest common factor of 15549 and 438. 219 What is the greatest common divisor of 682 and 124? 62 Calculate the highest common factor of 33 and 143. 11 What is the greatest common divisor of 175 and 1575? 175 What is the greatest common factor of 8384 and 64? 64 Calculate the highest common divisor of 20656 and 16. 16 Calculate the greatest common factor of 18072 and 168. 24 What is the highest common divisor of 632 and 16? 8 What is the highest common factor of 1107 and 41? 41 What is the greatest common factor of 34 and 476? 34 What is the greatest common factor of 2412 and 268? 268 Calculate the highest common factor of 660 and 420. 60 What is the greatest common factor of 135 and 105? 15 What is the highest common divisor of 80 and 1808? 16 Calculate the greatest common factor of 28 and 64. 4 What is the greatest common factor of 39 and 4082? 13 What is the highest common divisor of 26 and 58162? 26 Calculate the greatest common factor of 64 and 8000. 64 Calculate the highest common factor of 82 and 5822. 82 Calculate the highest common divisor of 28 and 1554. 14 Calculate the greatest common factor of 54 and 729. 27 What is the greatest common divisor of 16 and 7272? 8 What is the highest common divisor of 104 and 28808? 104 Calculate the greatest common divisor of 6 and 282. 6 What is the greatest common divisor of 16 and 304? 16 What is the greatest common factor of 12 and 48? 12 What is the greatest common factor of 66 and 176? 22 What is the greatest common divisor of 105 and 252? 21 Calculate the highest common factor of 29 and 1856. 29 What is the highest common divisor of 391 and 17? 17 What is the greatest common divisor of 22 and 143? 11 What is the greatest common divisor of 688 and 430? 86 Calculate the greatest common divisor of 145 and 29. 29 What is the highest common divisor of 116 and 1073? 29 Calculate the highest common factor of 56 and 184. 8 Calculate the highest common factor of 356 and 20. 4 What is the greatest common factor of 28 and 217? 7 What is the highest common divisor of 45 and 99? 9 What is the highest common factor of 448 and 7? 7 Calculate the greatest common divisor of 4 and 17. 1 Calculate the greatest common factor of 22873 and 89. 89 Calculate the greatest common divisor of 750 and 15. 15 What is the greatest common factor of 81 and 216? 27 What is the greatest common factor of 24 and 60? 12 What is the greatest common factor of 12 and 1356? 12 Calculate the greatest common divisor of 3277 and 58. 29 Calculate the highest common factor of 275 and 165. 55 What is the highest common factor of 15 and 2955? 15 What is the highest common factor of 48 and 44? 4 What is the greatest common factor of 680 and 374? 34 Calculate the greatest common divisor of 6696 and 1188. 108 Calculate the highest common factor of 7423 and 39. 13 What is the highest common divisor of 204 and 765? 51 Calculate the greatest common divisor of 182 and 455. 91 Calculate the highest common factor of 1888 and 118. 118 Calculate the greatest common divisor of 621 and 23. 23 Calculate the highest common factor of 119 and 289. 17 What is the highest common divisor of 5146 and 498? 166 What is the greatest common divisor of 70 and 270? 10 Calculate the highest common divisor of 657 and 9. 9 Calculate the highest common factor of 8786 and 69. 23 What is the highest common divisor of 7 and 448? 7 What is the greatest common factor of 5 and 335? 5 What is the greatest common divisor of 1536 and 96? 96 Calculate the greatest common divisor of 781 and 213. 71 What is the highest common divisor of 276 and 138? 138 Calculate the highest common divisor of 520 and 16. 8 What is the highest common factor of 105 and 11795? 35 Calculate the highest common divisor of 220 and 352. 44 What is the highest common factor of 69 and 552? 69 Calculate the highest common divisor of 3312 and 4. 4 Calculate the greatest common divisor of 913 and 11. 11 Calculate the greatest common divisor of 1080 and 12. 12 What is the highest common factor of 1264 and 88? 8 What is the greatest common factor of 78 and 21606? 78 What is the highest common factor of 182 and 819? 91 Calculate the highest common factor of 728 and 13. 13 Calculate the highest common divisor of 124 and 4. 4 Calculate the greatest common divisor of 33316 and 4. 4 What is the highest common factor of 17 and 102? 17 What is the highest common factor of 1005 and 165? 15 Calculate the greatest common divisor of 442 and 1802. 34 What is the greatest common factor of 200 and 120? 40 What is the highest common factor of 2680 and 280? 40 What is the highest common divisor of 13 and 32? 1 What is the highest common divisor of 13 and 182? 13 Calculate the highest common factor of 33 and 176. 11 Calculate the highest common divisor of 90 and 70. 10 Calculate the highest common factor of 319 and 33. 11 What is the highest common divisor of 140 and 364? 28 Calculate the greatest common factor of 8 and 10112. 8 Calculate the greatest common divisor of 960 and 1728. 192 What is the highest common factor of 2800 and 2? 2 What is the highest common factor of 24 and 6744? 24 What is the greatest common factor of 78 and 15? 3 What is the greatest common divisor of 87 and 986? 29 Calculate the highest common divisor of 54 and 42. 6 What is the highest common factor of 31264 and 32? 32 Calculate the highest common divisor of 106820 and 98. 98 Calculate the greatest common divisor of 46 and 1219. 23 What is the highest common divisor of 21
{ "pile_set_name": "DM Mathematics" }
4*d - 13. Is -3/901 at least m? True Suppose -15*t + 44*t - 27 = 2. Which is smaller: t or -20/1109? -20/1109 Let y = -4968 + 4967. Let q = 75 - -16. Let b be 14/q - (0 + 0). Which is greater: b or y? b Let l be 87570/2650 - 4/(-8)*-3. Let c = -12/265 + l. Is 31 greater than c? False Let m be -3*1*(-12)/(-9). Let q = -1021/635 + -126/127. Is m at least q? False Let u(q) = -5*q**2 - 12*q - 4. Let i be u(-2). Let x be -2*78/12*(-7)/1. Which is greater: x or i? x Let a(z) = 13*z**2 + 12*z + 6. Let x be a(-2). Suppose -x*p + 60*p = 4836. Which is smaller: 188 or p? p Let h = -67525/588 - 195/196. Which is smaller: h or -117? -117 Let g = 4.238 - 39.238. Is g greater than or equal to 20? False Let k(u) = u**3 - 14*u**2 - 28*u - 28. Let b be k(16). Suppose 14*v - 22 = b*v. Is v equal to 6/131? False Let c(t) = 10*t - 3. Let p be c(1). Suppose -9*s = -p*s - 6. Suppose -s*g + 2 = -5*g. Which is smaller: g or 1/47? g Suppose 4*n - 207 + 631 = 0. Is 9 greater than n? True Suppose 54 = 4*k - 2*p, -3*k = -2*k - 5*p - 9. Let x = k - 57/4. Let o = 0.94 + -6.94. Is x greater than or equal to o? True Let u = -115.01 + 254.84. Let a = u - 3.83. Which is smaller: a or -2? -2 Let t be 25/6*(-9)/20. Let l(c) be the second derivative of -c**5/20 - 7*c**4/3 - c**3/6 - 31*c**2/2 - 91*c. Let k be l(-28). Is t greater than or equal to k? True Suppose 2*t - 9*t = -5005. Suppose 7*u - 5*z = 9*u + 321, -t = 5*u - 5*z. Let w = u + 131. Is 2/3 equal to w? False Let o = 759 + -603. Let r = 283 - o. Which is greater: r or -2/3? r Let p = 4152 - 12610/3. Let l(m) = 50*m - 1. Let k be l(-1). Let i = k - p. Is i at least -3/10? True Suppose -161 = -5*k + 49. Suppose 22*z - 3871 = 133. Let p be 1/2*k/z. Which is bigger: p or 0? p Let g be -3 + 1*(-290 - -5). Let d = g + 289. Is 4/73 at least d? False Let u be ((-14)/(-42))/(1/9). Let o = 289277/7 - 41227. Let d = o + -98. Are u and d equal? False Let f(b) = -b**3 - 16*b**2 + 108*b + 68. Let a be f(-21). Which is greater: -1.28 or a? a Let q(r) = -3*r**2 + 17*r + 8. Let x be q(6). Let k be x/(-6)*14/84. Do 1 and k have the same value? False Let r be ((-9009694)/(-5610) + 3 + -1)/2. Let i = 804 - r. Which is smaller: i or -1? -1 Suppose 0 = 967*o - 971*o + 2*r - 12064, 5*o + 15113 = -3*r. Which is bigger: -3021 or o? o Let l = 145 - 131. Suppose -k = 6*k + l. Is -1 != k? True Suppose 0 = 68*w + 2856 - 544. Which is smaller: -3 or w? w Let g = 578.7 - 588. Let n = -8.3 - g. Which is smaller: 0.519 or n? 0.519 Let x be 2/24 - (6 - (-876)/144). Let j be (-7 + 5)*3*1. Is j at most x? False Suppose -q + 20 = -2*c, 0*c - c + 3*q = 10. Let r = -9 - c. Let s = 415 + -409. Which is greater: s or r? s Let o be (4 - (-414)/(-15)) + (-3)/(-5). Suppose -3*k = 6*k + 171. Is k smaller than o? False Let t = -26.453 + 0.453. Let u = 5.5 + 21.5. Let p = u + t. Does 2 = p? False Let m be (-327112)/(-390) - 312/351*6/40. Which is smaller: 839 or m? m Let k = 1682 - 1684. Are 128.5 and k unequal? True Suppose 4*f = 4*j - 9456, 12*j - 11*j - 2372 = 3*f. Which is greater: 2361 or j? 2361 Let c = -3050 - -768599/252. Let v = 83/252 - c. Which is bigger: 2/67 or v? v Suppose 2*b + 5*f + 411 = 421, 4*b - 20 = 4*f. Which is greater: -426 or b? b Let v = 256 + -131. Let m = v - 122. Let r(x) = -x**3 - 6*x**2 + 6*x - 1. Let a be r(-7). Which is greater: m or a? a Let k = 2946 - 2945. Which is bigger: k or 1202? 1202 Let x = 824 + -1519. Which is smaller: -682 or x? x Let y = 6 - 6.4. Let f be 3420/81 + 4/(-18) - -4. Suppose -49*o = -f*o - 27. Is y at most as big as o? True Let x be 25860/32 - (527/(-68) + 8). Which is smaller: x or 808? x Let i be 1/(2*(-11)/22)*(0 - -1). Which is greater: -8/1107 or i? -8/1107 Suppose 4*s - 4*l - 60 = 0, -5*s - 5 = -4*s - 5*l. Suppose -2*n - 4*o + 22 = 0, 5*n + o - 72 = n. Which is greater: s or n? s Let g(i) = 5*i + 76 + 2*i - i**2 - 10*i. Let j be g(0). Suppose c = -4*v + v + 61, -4*v - 248 = -3*c. Is j bigger than c? False Let b(y) = y**3 + 20*y**2 + 17*y - 26. Let p be b(-19). Let v = -14 + p. Let t = -2396/803 - -32/73. Are v and t non-equal? True Let a = -3187 + 3361. Is a at most 171? False Suppose -483*w + 16 = -484*w, -2*w - 153 = k. Let u be 0 - 40*(1 + 2). Do u and k have the same value? False Let f = -29 - -46. Suppose -k - 2*q - 12 = -2*k, 2*k = -2*q + 36. Which is bigger: k or f? f Suppose -t + 0 - 1 = 0, 3*d - 2*t = -1. Let a = d - 26. Let o be 5/3 - (9 + (-1848)/(-99)). Which is greater: a or o? o Let g(w) = 4 + 2 + w + w**2 - 4 + 4*w**3. Let b be g(2). Let q = 28999 + -29000. Which is smaller: q or b? q Suppose -10862*d = -10859*d - 490 - 1154. Which is greater: 545 or d? d Let q be ((-4)/(-7))/(10 - 77656/(-119)). Is q <= 0? False Let m(d) = -d**2 - 3*d - 3. Suppose a + 4 = -4*p + 2, 2 = p. Let q be (-12)/60 - (-18)/a. Let y be m(q). Which is smaller: 0 or y? y Suppose -1572 + 392 = 4*u. Suppose 3*q + 5*g = -14, -12 + 0 = 4*q + 5*g. Let h be (-1)/5*(u/160 + q). Is -1 != h? True Suppose 0 = b - 3 + 2. Let d be (-1 + (-85)/(-20))*-4*b. Which is bigger: -18 or d? d Let z(q) = q**2 - 5*q + 2. Let l be z(-3). Suppose 0 = l*j + 18 - 304. Is j bigger than 9? True Let j = -0.282 - 534.718. Let z = 518 + j. Which is greater: 0.07 or z? 0.07 Let k = 1 - 0.9. Let f be 741852/(-972) - (-21)/(-27). Do f and k have different values? True Suppose 0 = 15*g + 12*g. Suppose 2*m + 4*j + 168 = m, 0 = 5*m - j + 840. Let q = m + 2188/13. Do q and g have the same value? False Let d(m) = m**2 + 218*m + 2857. Let x be d(-14). Is x at most as big as 7/649? False Let j = -31 - -35. Let f be j/(4180/2085) - 2. Let w = f - -635/1672. Which is bigger: 1 or w? 1 Suppose -49*w = -36 - 13. Is w greater than or equal to -25/137? True Let c(q) = q**3 + 8*q**2 + q + 10. Let f be c(-8). Suppose 8 = -3*x - 3*s + 2*s, 0 = -f*x - 5*s - 14. Let i be (0/x)/((-1)/(-2)*6). Which is greater: i or 2/15? 2/15 Let f = -13 - -16. Suppose -4*l - 923 = 5*x, 0*x - 2*l - 370 = 2*x. Let s be x/(-105) - (-1)/(-7). Which is greater: f or s? f Let v(i) = 191*i**2 - 70*i - 381. Let p be v(-6). Is 6915 greater than p? False Suppose -o = 2*b - 26, -b - b = 4*o - 20. Suppose -946 = b*f - 3*f. Which is greater: -259/3 or f? f Let k = 29.9 + -85.1. Let b = k - -55. Let j = 135.3 + -135. Is b greater than or equal to j? False Let m = 0.24 - -0.06. Let i = 36.14 - 36.342. Which is greater: i or m? m Suppose -29*d - 45*d = 7178. Are -50 and d non-equal? True Suppose 6*a - 6*a = 2*a. Suppose a = 127*i - 122*i - 200. Is 38 not equal to i? True Let q = -16.708 - -27.708. Is 820 less than q? False Suppose 24*a = -18*a + 168. Let v be (-23)/a + (68/8 - 9). Which is smaller: v or -5? v Let f be 882/(-3)*(-47)/1598. Which is smaller: 9 or f? f Let n = 3/137 + -1796/685. Let m(s) = s**3 + 28*s**2 - 181*s - 523. Let u be m(-33). Which is smaller: n or u? n Let h(g) = 31*g**2 - 2*g + 6. Let l be h(-5). Let w = -771 + l. Is 10 not equal to w? True Let q = -4.4062 + -405.7738. Let n = 407 + q. Is 0 greater than n? True Suppose -1785411 + 575169 = -248*k + 6*k. Is 5001 bigger than k? False Let l = -625 + 16. Let q = 77340/127 + l. Which is bigger: q or 0? 0 Let w(n) = -67*n - 1003. Let a be w(-15). Suppose 0 = k + 1 - 0. Is a < k? False Let i(z) = 2*z**3 - 4*z**2 + 4*z - 3. Let l be i(2). Suppose 11*n - l*n - 24 = 0. Suppose n*w = 2*w + 3*v + 5, -2*v - 5 = -3*w. Is 0 less than w? True Let d be 3/(-21) - 75306/49 - -6. Let y = d - -897. Which is greater: -633 or y? -633 Let g be (22 - 30) + (0 + 1)*9. Is g bigger than 2/3165? True Let d(u) = -5*u**2 - 5*u - 11. Let t be d(-2). Let x be 2/((-32)/12 + 2). Let l(y) = 10*y + 10. Let v be l(x). Is t <= v? True Let j = 701 + -298. Suppose -3*s = 4*c + s - 368, -4*c + j = -3*s. Which is smaller: c or 96? 96 Let f = 36 + -85. Let a = 2518/51 + -828/17. Is a bigger than f? True Let w be (-96334)/294 + (0 - (-1)/(-3)). Let b = w + 330. Is b greater than 12/17? True Let p = -2215.6 - -2229. Which is greater: p or -5/3? p Let g = -1.9 - -2. Let y be 54/108 + (-1146)/(-4). Suppose 43 = 22*r - y. Which is bigger: r or g? r Let v = -89/12 - -4013/540. Is 3 greater than v? True Let d = -19 + 33. Let n(t) = 3*t**3 + 27*t**2 - 31*t - 27. Let f(b) = b**3 + 14*b**2 - 15*b - 14. Let p(u) = 5*f(u) - 2*n(u). Let w be p(15). Does d = w? True Let p = -5
{ "pile_set_name": "DM Mathematics" }
er when h is divided by g. 8 Let b = -13 - -87. Suppose -22 = 4*n - b. Calculate the remainder when 24 is divided by n. 11 Suppose 6*w = 10*w - 8. Calculate the remainder when 2 - ((1 - 8) + 6) is divided by w. 1 Let x be (-75)/(-11) - (-2)/11. Suppose -x*f + 2*f = -45. What is the remainder when (-1)/(-3) - 142/(-6) is divided by f? 6 Let m = 76 - 61. Calculate the remainder when 36 is divided by (-1)/((-2)/((-6)/(-9)*m)). 1 Let m = 6 - 1. Let o = 9 - m. Suppose 0 = d - 6 - o. What is the remainder when 27 is divided by d? 7 Let j(c) = -12*c**2 + 159*c - 17. Calculate the remainder when j(13) is divided by 6. 4 Suppose 56 = 36*g - 3220. Calculate the remainder when g is divided by 23. 22 Suppose 36 = 4*f - 36. What is the remainder when f is divided by 1140/210 - 3/7? 3 Let o be 2/3*(-38934)/(-36). Suppose -5*y + 20 + 25 = 0. What is the remainder when (-2)/(-3) - o/(-21) is divided by y? 8 Let m be -2 - (-4)/8*-2. Let y be 4/(-1 - (1 + m)). Suppose -5*l + 4*q = -120, -22 = -y*l - q + 95. Calculate the remainder when 83 is divided by l. 27 Suppose 72 = 4*z + 5*g, -2*z + 3*z = -3*g + 11. Calculate the remainder when z is divided by 12. 11 What is the remainder when (-29)/(320/(-35) + 9) is divided by 11? 5 Suppose -51*h = -55*h + 1112. Calculate the remainder when h is divided by 40. 38 Suppose 10*s = 5*s - 75. Let t = -11 - s. Suppose g = 5*r + 17, 3*g + 3*r + 7 = 2*g. Calculate the remainder when t is divided by g. 0 Suppose 0 = r + 3*h + 33, 4*r + 64 = 8*h - 3*h. Let v be (-4)/6 - 77/r. Suppose -2*n = v*n - 265. Calculate the remainder when n is divided by 14. 11 Let p(u) = 21*u**2 + 29*u - 10. What is the remainder when p(-5) is divided by 62? 60 Suppose 4*w - 3*t + 495 = 0, -3*w = -t + 223 + 152. Let l = -79 - w. Calculate the remainder when l is divided by 17. 13 Let x(z) = 30*z - 203. Calculate the remainder when 229 is divided by x(7). 5 Let m(v) = 4*v - 29. Suppose 25 = 2*r + 5. Let d be m(r). Suppose g - d - 19 = 0. What is the remainder when g is divided by 17? 13 Calculate the remainder when 139 is divided by 36/(-144) + 378/8. 45 Let a(l) = -l**3 + 6*l**2 + 20*l + 3. Suppose -3*j = -3*z - 11 - 1, 0 = -j - 4*z + 19. What is the remainder when a(j) is divided by 14? 10 Suppose 28*l = 18*l + 22*l - 444. Suppose -3*w = 3 + 12. Let i = w + 18. What is the remainder when l is divided by i? 11 Suppose -5*g - 211 = 3*b, 0*b = -b + 4*g - 42. Let i be 15/10*b/(-3). Suppose -10 + i = 3*h. Calculate the remainder when h is divided by 4. 3 What is the remainder when -4*(-10)/32*80 is divided by 34? 32 Suppose 0 = -2*n - j + 6, 4*j = n - 4*n + 9. Let c = n - -46. What is the remainder when c is divided by 10? 9 Let h(t) = 4*t - 15 + 0 - 3*t. Let p be h(11). What is the remainder when 21 is divided by -1*(-2)/p*-24? 9 Suppose 0 = -5*l - 0*l + 10. Let a be (-82)/26 - 6/(-39) - -13. What is the remainder when 8 is divided by a/((-2)/(l + -3))? 3 Let q(d) = d**3 + 5*d**2 - 6*d - 10. Suppose -8*t = -4*t + 32. Let f = 0 - t. What is the remainder when q(-4) is divided by f? 6 Suppose 105 + 25 = -5*c. Let s = 1 - c. Calculate the remainder when s is divided by 14. 13 Suppose -q + 59 = 21. Let f be (-1)/2*(-936)/6. Let o = f - 65. What is the remainder when q is divided by o? 12 Let n = 22 + -43. Calculate the remainder when 75/(-175) + 1 + (-870)/(-21) is divided by 2/7 + (-225)/n. 9 What is the remainder when 40 is divided by -2*10/4 - (0 - 23)? 4 Let p = -278 + 184. Calculate the remainder when 140 is divided by p/(-4 - 6/(-3)). 46 Suppose -3*y + 4*y = 6. Let m(n) = 4*n - 11. Calculate the remainder when m(y) is divided by 7. 6 Let c(s) = 13*s + 88. Let b = -10 + 26. What is the remainder when b is divided by c(-6)? 6 Let k = 164 - 98. Suppose w = -w + k. Suppose h = 2*m + 4*h - 274, 3*m - 405 = -3*h. Calculate the remainder when m is divided by w. 32 Suppose 22*z = 21*z - 3*d + 367, -z = d - 359. Calculate the remainder when z is divided by 38. 13 Let t = -319 - -437. Calculate the remainder when t is divided by 59. 0 Let f(l) = 42*l**2 + 34*l + 32. What is the remainder when 150 is divided by f(-1)? 30 Let m = -1486 - -1558. Calculate the remainder when m is divided by 20. 12 Suppose 47*x - 56*x = -900. What is the remainder when x is divided by 18? 10 What is the remainder when 687 is divided by 1160/29*(1 + 6/(-10))? 15 Suppose -4*i + 3*a = -a - 12, 4*i - 6 = a. Suppose u - 17 = -0*u. What is the remainder when u is divided by 24/(18/3) + i? 2 Suppose 3*d = 3*a + 159, -4*a = -7*a - 15. Suppose -o + 2 = -8. What is the remainder when d is divided by o? 8 Suppose 5*u - 20 = 5. Let z be 4 - 11/((-22)/24). Let p = z - u. Calculate the remainder when 42 is divided by p. 9 What is the remainder when 93 is divided by ((-5)/30 - (-2)/4)*102? 25 Let p = 31 - 27. Suppose 0 = -0*s + p*s - 64. Calculate the remainder when (-2)/((-147)/141 + 1) is divided by s. 15 Let w = -8 + 160. Calculate the remainder when w is divided by 12. 8 Suppose 50 = 4*s - 50. Let j = -7 - -7. Suppose -3*k + 53 + s = j. What is the remainder when 77 is divided by k? 25 Let x(w) = -7*w + 11. Calculate the remainder when x(-11) is divided by 26. 10 Let x = 54 - -146. What is the remainder when x is divided by 17? 13 Let h be ((-8)/3)/((-14)/21). Suppose -23 = -l + 4*u, 0 = h*l + u + 2*u - 16. Calculate the remainder when 39 is divided by l. 4 Suppose -9 + 1 = -2*s. Suppose 3*x + 5 = 3*d - s, -d = -2*x - 2. Suppose -38 = -2*g + z, 3*g - d*z - 67 = -0*z. Calculate the remainder when g is divided by 5. 2 Suppose 4*a - 33 = 111. Let z(s) be the third derivative of -s**4/24 + 19*s**3/6 + 8*s**2. What is the remainder when a is divided by z(0)? 17 Suppose -7*z + 90 = -2*z. Calculate the remainder when z is divided by 70/(-4)*(-18)/(-36)*16/(-20). 4 Let k(q) = q**2 - 21*q + 19. Let n be k(20). Calculate the remainder when 2/1*(-53)/(-2) is divided by (-2 - (-27)/(-3))*n. 9 Suppose 16 = -18*q + 19*q. Suppose 3*n + 91 = q*n. Calculate the remainder when 29 is divided by n. 1 Let b = 22 + 220. Calculate the remainder when b is divided by 61. 59 Let y(p) = -40*p + 34. What is the remainder when y(-4) is divided by 28? 26 Let l(m) = -24*m. What is the remainder when (54/4)/((-120)/(-400)) is divided by l(-1)? 21 Let y = 20 - 23. What is the remainder when ((-34)/(2 + y))/((-10)/(-15)) is divided by 18? 15 Let j be 9/3 + (1 - 17). Let i = j - 20. Calculate the remainder when (-1)/(-2 + (-65)/i) is divided by 12. 9 Let t(f) = 12*f**2 + 3*f + 4. Suppose -92 = -4*b + 4*i, 4*i = -4*b + 54 + 22. What is the remainder when t(-3) is divided by b? 19 Calculate the remainder when (-4)/(-5)*680/16 is divided by 18. 16 Suppose v = -2*c + 21, 0 = -26*v + 27*v - 4*c - 21. What is the remainder when 460 is divided by v? 19 Let p(z) = z**3 - 5*z**2 - 5*z - 23. What is the remainder when p(7) is divided by 26? 14 Suppose -5*u = -u - 448. Suppose 324 - u = 4*k. What is the remainder when k is divided by 15 + -1*(1 + 0)? 11 Let w be 1/2 - (-43)/2. Suppose 3*i - 2 = -2*x - 6, 4*x = i - w. Let b(f) = 5*f - 3. What is the remainder when b(i) is divided by 5? 2 Let m be (-2 + 3)*6*(-39)/6. Let z = 41 + m. What is the remainder when z is divided by 1? 0 Let u = -17 - -12. Let t(h) = -h**3 - 4*h**2 + 3*h + 7. Let l = 1338 + -1290. What is the remainder when l is divided by t(u)? 14 Let q(l) = -l. Let f(t) = -t**2 - 12*t + 10. Let w(s) = -f(s) - 3*q(s). What is the remainder when w(-16) is divided by 2? 0 Let f(d) = 2*d - 2. Suppose -z + 2064 = 42*z. Calculate the remainder when z is divided by f(6). 8 Let x(a) = -a + 12. Let v be x(16). Let u be -4 - (-422*2)/v. Let n = -144 - u. What is the remainder when n is divided by 18? 17 Suppose -r + 51 = -12. Let c = -23 + 26. Calculate the remainder when r/15 + (-8)/(-10) is divided by c. 2 Let i(x) = -4*x**3 + 11*x**2 - 5*x + 4. Let f be i(3). Let p(s) = -s - 4. Calculate the remainder when 27 is divided by p(f). 11 Suppose 3*l + 0*l - 120 = 0. Suppose 28 = -n - g + 6, -2*n - g = 47. Let b = 46 + n. Calculate the remainder when l is divided by b. 19 Let h = -37 + 41. Suppose -i + 194 = 5*k, 0 = 3*i - 4*i + h. What is the remainder when k is divided by 14? 10 Suppose 0 = 3*h + 15 + 15. Let f = h - -16. Calculate the remainder when ((-108)/24)/((-2)/4) is divided by f. 3
{ "pile_set_name": "DM Mathematics" }
(-10)/v - (-1018)/(-3090). Which is smaller: a or 1? a Let b be 8/32*((-90)/16 + 2/16). Suppose 4*c - 2*x - 6 = 0, -4*c + 3*x = 1 - 4. Let i = c - 3. Which is smaller: b or i? b Let x(c) = -2361*c + 40. Let r be x(1). Is -4639/2 <= r? False Let q = -861 + 860.9. Is q not equal to -6/1015? True Let v be (-2)/8*1300/3575. Which is smaller: v or 1/8? v Let r(y) = -25*y + 30. Let k be r(-6). Suppose -l - 147 = 2*t, 5*l + k = -5*t - 175. Let o be (1 - 2) + t/(-36). Is o less than 2? True Let a(w) = -7*w**3 + 21*w**2 - 27*w - 10. Let h(d) = -11*d**3 + 32*d**2 - 41*d - 15. Let i(j) = 8*a(j) - 5*h(j). Let r be i(6). Is r >= 4/7? True Let l = 37666/161 - -264/23. Let d be 2*(-125 - (4 + -6)). Let p = l + d. Are p and 0 equal? False Let d = -2042/3 + 1361/2. Are d and 4/73 non-equal? True Let z = -36.2401 + -0.6399. Which is greater: 2/7 or z? 2/7 Let r = 1399 + -918. Let k = r + -479. Which is greater: 10.3 or k? 10.3 Let f(p) = -p**3 + 32*p**2 - 54*p - 179. Let v be f(30). Let c = -1787/46550 + -6/475. Is c equal to v? False Let x = 4682 - 4659. Is 245 <= x? False Let d = 4143.96 + -4144. Which is greater: -0.423 or d? d Let v(p) be the third derivative of 5*p**4/12 - 223*p**3/6 - 3*p**2 + 18*p. Let d be v(22). Is -3 <= d? True Let z = -849743/74 - -11483. Is z smaller than 1? True Suppose 190*h + n + 5 = 191*h, h = -3*n - 7. Which is smaller: h or 135/61? h Let o be (-6)/(-2)*(-10 + 9). Let j be o/30 - (-11)/10. Is -1 <= j? True Let h = -228361/4 + 57388. Which is smaller: 299 or h? h Suppose s - 6 = -2*s. Let w = 15 - s. Let t be (28/2)/(112/112). Which is smaller: t or w? w Suppose 2*d + j - 2*j = -987, j = -1. Is d less than -494? False Let z be (21/(-6) - -3)*2. Let a be (-4 + -2)*1/z. Suppose f + 4*p = -a, f + 0 - 3 = 5*p. Is -6/7 smaller than f? False Let h = -1961 - -1952. Let i = -21 - -19. Which is smaller: h or i? h Let t(a) = a**3 + 7*a**2 - a - 4. Let o be t(-7). Let x be (11 - -2)*(o - 2). Which is greater: x or 3? x Let p = 198.4 - 31.4. Let u = p - 165.7. Is 1 greater than or equal to u? False Let x = -253 - -253. Let p be 6/4 - (x - (-316)/(-8)). Is p >= 41? True Let z(k) = -k**2 - 14*k + 100. Let g be z(5). Is g smaller than 6/115? False Let s = -129284/3 - -43489. Let q = s - 383. Which is bigger: q or 12? 12 Let m be (1 + 0)*(32 + 3). Let b = -16 + 22. Let c(p) = 2*p**2 - 6*p. Let w be c(b). Which is greater: w or m? w Let h be 8/(-16)*14 + 8. Which is bigger: h or 2/4815? h Let q be (-1 + 1/6)*976/280. Is -2 greater than q? True Let c = -470.6 - -819. Let s = 344 - c. Is 2 less than or equal to s? False Suppose -4*u - l + 459 = 0, 3*u = 4*u - 3*l - 118. Let y = u - 181. Which is smaller: -65 or y? y Let a = -83 - -113. Let q = -33 + a. Suppose i = 2*w + 3, -8*w - 3*i - 21 = -4*w. Do q and w have the same value? True Let y be (-228)/(-133)*(-670)/(-4). Let x = y + -287. Let u = 1 - 1. Is x < u? False Let s(w) = 149*w**2. Let a be s(1). Let l = a - 448/3. Which is greater: 5 or l? 5 Let j = 14.71 - -0.29. Let c = -2834 + 1659. Let w = c - -1175. Is w > j? False Let p(x) = x**2 - 5*x + 7. Let o be p(0). Suppose -6*w + o - 127 = 0. Does -4 = w? False Suppose -3*i - 2*f = -644 + 2374, 0 = i - 5*f + 554. Is -574 bigger than i? False Let r be ((-1670)/8)/((-10)/32). Which is greater: 669 or r? 669 Let t(s) = -2*s - 16. Let f be t(-9). Suppose -n + 3*i - 4*i - 1 = 0, -f*n + 5*i = -33. Suppose 3 = 3*v - 4*b - n, -b = -5*v + 6. Is v greater than 1/173? True Let i be (-1341)/(-2384)*(-4)/(-3). Which is smaller: i or -159? -159 Suppose t = 3 - 0. Let k = t + 14. Let z(g) = -254*g + 13223. Let m be z(52). Which is smaller: k or m? m Let f be ((-961)/(-93))/((-25)/114). Which is smaller: -48 or f? -48 Suppose -14*w - 151 = 465. Which is smaller: -42 or w? w Let d be (-6)/(-8) - 5/(80/908). Let f = 58 + d. Let p be f/4 + (2 - (-235)/(-150)). Which is smaller: p or 1? p Let t be (-13)/(819/28) + 86/(-9). Let k = 51 + -61. Is t at most k? True Let p(j) = -j**2 - 7*j + 2. Let c be p(-7). Let f = -6 + 4. Let o = f + c. Which is bigger: o or 9? 9 Suppose 3*i = 8*i - 165. Suppose 568*n - 559*n = 108 + 180. Is i at least as big as n? True Let t(v) = -9*v + 4. Let l be 0 - -1 - 16/8. Let i be t(l). Suppose 2*x = -3*r + 6, -x + 2*r + i = 3. Is 5 at most x? True Let x = 2.75 - 99.5. Let w = 96 + x. Let c = -0.25 + w. Which is greater: 6/5 or c? 6/5 Let c(u) = -42*u + 929. Let t be c(25). Which is smaller: -113 or t? t Let r = 29 + -37. Let s be 5*(-4)/(-70) + 1388/(-154). Is r at least as big as s? True Let u = -521463971 + 40153400046/77. Let h = -8757 + u. Is h equal to 0? False Let v = 157630 - 1411028/9. Let p = -846 + v. Which is greater: p or 4? 4 Let k = -39 + 36. Let v be ((-1)/((-24)/9))/(1/2). Let l = v + k. Is l less than or equal to -3? False Let m = 0 - 5. Let h(a) = a**3 + 10*a**2 - 10*a + 16. Let u be h(-11). Suppose -u*y = -335 + 355. Is m bigger than y? False Let a be 0 - -3 - (-32 + 2). Let j be (-6)/a - (-31830)/99. Let c = -334 + j. Which is smaller: -12 or c? c Let p(y) = 2*y**3 - 33*y**2 - 58*y + 95. Let f be p(18). Which is smaller: 28 or f? f Let f = 928 + -990. Is -13 greater than or equal to f? True Let h = 718.57 - -0.43. Let p = 718.1 - h. Are 3/11 and p nonequal? True Let u(j) = -51*j**2 - 3*j - 1. Let y(r) = -102*r**2 - 7*r - 2. Let m(v) = -5*u(v) + 2*y(v). Let c be m(-1). Let d = -53 + c. Is -5 <= d? True Let d(x) = x**3 + 38*x**2 + 40*x + 87. Let k(b) = -b**2 - 10*b + 19. Let z be k(4). Let v be d(z). Which is smaller: v or -12? v Let z be 126/(-12)*4/(-3). Let h = -17 + z. Let f = -194 - -194. Is f equal to h? False Let v = 300 - 299.819. Let o = v - 0.081. Do 38 and o have different values? True Suppose 4*d = -5*r + 28, -2*d - 2*d = 2*r - 16. Suppose 7*y + 20 = d*y. Let h be (0 - (y - -3))*12. Which is greater: h or 14? 14 Let v = -1059 - -624. Let l be v*((-56)/49 - -1). Which is greater: l or 62? l Let z = 11 - 6. Suppose -z = 2*r - r. Suppose 4*t + 3 = -o, 0 = -5*o + 4*t - 41 + 2. Is r smaller than o? False Let w(f) = -538*f + 6120. Let p be w(11). Is p != -5? True Let y = 267 - 273. Let t be ((-3)/9)/((-4)/y)*146. Which is bigger: -74 or t? t Let o(d) = d**3 - 4*d**2 - 21*d + 68. Let r be o(4). Let j be 609/63 + r/6 + 3. Suppose 2*f - 3*y = 6, -f + y + 3*y + 3 = 0. Is f > j? False Let c = -3/598 - 58299/1196. Which is bigger: c or -49? c Let q = 18191 - 3765554/207. Is q greater than or equal to 1? False Let l be 688/114 + (1 - 4) - 3. Let i(p) = -p**3 + 6*p**2 - 6*p - 3. Let j be i(7). Let g = j - -92. Which is bigger: g or l? l Let s = -16199 + 2494629/154. Is 1 > s? True Suppose 3*o - 5*d = 2 - 1, 0 = 2*o - 3*d - 1. Let h be o/(-8) + (-455)/(-52) + -4. Are 4 and h non-equal? True Let h = -494523/11 - -44987. Let d = h + -30. Suppose -5*j + 5 = -0. Which is greater: j or d? j Let s be (-10)/34*(-896)/11760. Which is smaller: 0 or s? 0 Suppose t - 146 = -t. Let o(m) = -m**3 - 15*m**2 + 11*m - 56. Let z be o(-16). Let p be -3*(222/(-8))/(27/z). Is t greater than or equal to p? False Let z(h) = -h**2 + 7*h + 29. Let x be z(9). Suppose -3 = -3*m, x*m - 7*m = -3*j + 10. Is 6 at most as big as j? False Suppose -737*h - 54 = -683*h. Which is smaller: -11/345 or h? h Suppose -9*q + 19 = -17. Suppose -q*u = -0*u - 16, -3*u = -3*b - 15. Is b >= -1/50? False Let i = 109/36 - 13/4. Suppose 28*q = -978 + 1006. Is i equal to q? False Let z = -61.928 - -62. Let a = z + 0.028. Which is bigger: 52/5 or a? 52/5 Let t(y) = y**3 + 24*y**2 - 4*y - 97. Let j be t(-24). Let c be 45/135 + j/3. Is 1/155 < c? False Let q(f) be the second derivative of -f**4/12 + 7*f**3/2 + 3*f**2/2 - 199*f. Let r be q(19). Is r less than or equal to 36? False Let u = -12962 - -22186. Let c = 9245.014 - u. Let f = 0.014 - c. Is -1/2 at most f? False Let y = -18421 + 18410. Do y and -86 have the same value? False Suppose 3*j - 2 = 4*k + 2, -j = 2*k - 8. Let a = 552 - 402. Let z be (k/13)/((-5)/(a/3)). Is z > -1? False Suppose j + 5*z = z, z = 3*j - 52. Suppose 7*l - 23 = -j*l. Is 1/90 > l? False Let g = 37.7 - -25.3. Let a = -1/107 + 109/214. Which is smaller: g or a? a Let z = -30 + 145. Let a = 144 - z. Is 27 not equal to a? True Let s(v) = -v**3 - 27*v**2 - 21*v + 129. Let c be s(-26). Which is bigger: 10/1127 or c? 10/1127 Let n(c) = 415*c + 11. Let a
{ "pile_set_name": "DM Mathematics" }
ppose 2*u - 210 = b - 5*b, -4*u - 230 = -o*b. What is the units digit of b? 0 Let j be (-16)/(-2) - 0/(-2). Let h(l) = -l**3 + 8*l**2 + 1. Let r be h(j). Let p = 15 - r. What is the units digit of p? 4 Suppose 3*p - 255 - 69 = 0. What is the tens digit of p? 0 Let t = 910 + -685. What is the units digit of t? 5 Suppose 0*f - 2420 = -20*f. What is the hundreds digit of f? 1 Let c be ((-6)/18)/((-2)/(-30)). Let b = -7 - c. What is the units digit of b/(3 - 154/50)? 5 Let t = 36 + -24. Let m be (-2)/(-3) - 28/(-12) - -33. Let a = m - t. What is the tens digit of a? 2 Let q = 1065 + 812. What is the units digit of q? 7 Let w(q) = q**3 - 4*q + 1287. What is the tens digit of w(0)? 8 Suppose 3*t - 114 - 543 = -u, 0 = -4*u - 3*t + 2655. What is the hundreds digit of u? 6 Let p(d) = -18*d + 14. What is the units digit of p(-4)? 6 Suppose -5*j + 389 - 14 = 0. Suppose -2*u = 3*u - j. What is the units digit of 42/u - 4/(-20)? 3 Let p be 84/8*12/9. Let i = -12 + p. Suppose -5*a + 33 = -2*j, -2*a + a + i*j = -13. What is the units digit of a? 5 Let p(n) = n**2 - 13*n + 22. Let x be p(13). Suppose 21*y - x*y = -29. What is the units digit of y? 9 Suppose -34 = -4*o + 2*i, -2*o + 0*o + 5 = 3*i. Suppose -d = -2*u, 5*u = o*d - 2*d + 15. What is the units digit of ((-4)/(-7))/(d/(-21))? 2 Suppose 34*g = 37*g - 12. Let u = -3 + 5. Suppose -u*h + 0*h - 4*n = -30, 131 = 5*h - g*n. What is the tens digit of h? 2 Suppose 0*f + 5*f + 20 = 0, 0 = -5*k + 5*f + 1415. What is the units digit of k? 9 Let q = -7 + 11. Suppose q*m - 2434 = -5*w, -5*m - 2428 = -5*w - 3*m. What is the units digit of w/12 + 3/(-2)? 9 Let z(u) = -u + 7. Let k be z(7). Suppose -s + 5*x - 12 = 0, k = 3*s - 6*x + 3*x. Suppose s*r + 2*r - 75 = 0. What is the units digit of r? 5 What is the hundreds digit of (4/(-2))/((-2)/437)*8? 4 Let h(r) = r**3 + 4*r**2 + 4*r + 3. Let o be h(-4). Let m = o - -20. Let d(n) = n**2 - 6*n + 2. What is the units digit of d(m)? 9 Let m = -69 - -67. What is the units digit of -80 - -81 - (-200 - 0/m)? 1 Let k(u) = 2*u**2 + 8*u - 2. Suppose -4*x + 5*w = -57 - 40, -43 = -x + 5*w. Suppose x = -4*c + c. What is the units digit of k(c)? 2 Suppose -4*r - x + 3587 = 0, 932 + 864 = 2*r - 2*x. What is the hundreds digit of r? 8 Suppose 0 = -t - r - 4*r + 33, -t + 13 = r. Suppose 0*m + 9 = m. What is the units digit of t + m/(4 - 1)? 1 Let a be (-12 - -9)*(-34)/(-6). Let q(v) = v**2 + 17*v + 13. What is the tens digit of q(a)? 1 Let g(b) = 30*b**2 - 8*b + 20. What is the units digit of g(4)? 8 Let f(o) = -o**2 - o - 1. Let q(n) = n**2 + 9*n + 2. Let x(u) = 2*f(u) + q(u). Let t be x(6). Suppose -11*j + t*j + 140 = 0. What is the tens digit of j? 2 Suppose 0 = -16*z - 954 + 11802. What is the tens digit of z? 7 Let f = 4811 - 1439. What is the thousands digit of f? 3 Let h(w) = 46*w**2 - 7*w - 32. What is the units digit of h(-8)? 8 Suppose -9 - 12 = -3*x. Let i(c) = 1 + x*c**2 + c**2 - c + 6*c**2. What is the tens digit of i(1)? 1 Let h = -98 + 112. Suppose w + 3*d = -h, 23 = -w - w - 5*d. What is the units digit of w? 1 Let z = -16 - -24. Let r = z - 0. What is the units digit of r? 8 Let a(h) = h**3 + 19*h**2 - 9*h - 24. Let u be a(-20). Let z = -137 - u. What is the tens digit of z? 0 Let p(h) = -155*h**2 + 9*h - 2. Let f(y) = -153*y**2 + 8*y - 1. Let s(k) = -5*f(k) + 4*p(k). What is the tens digit of s(-1)? 4 Let g be (21/(-2) - -4)*2. Let u = 13 + g. Suppose 0 = 3*c - u*c - 135. What is the units digit of c? 5 Let p(g) = 11*g**2 - 13*g + 26. Let r(v) = -6*v**2 + 7*v - 13. Let s(l) = 4*p(l) + 7*r(l). What is the tens digit of s(6)? 6 Let b(q) = -2*q - 15. Let i be b(-9). Suppose -x + 8 = i*x. Suppose p = 4*p + k - 92, x*p + 5*k = 44. What is the tens digit of p? 3 Suppose 1467 = 7*d - 2096. What is the units digit of d? 9 Let q = -2630 - -4298. What is the units digit of q? 8 Let j be (168/36)/(4/(-6)). What is the units digit of (3 - j)*(-21)/(-6)? 5 Let y(x) = 2*x - 14. Let i be y(5). What is the units digit of (43/i)/(15/(-60))? 3 Let t = -7 + 2. Let p = t - -4. What is the units digit of 0/p - (-5 - 22)? 7 Suppose -53*r + 47*r = -1026. What is the tens digit of r? 7 Let m be (0 - -4 - 4)/1. Suppose m = -4*n + 42 + 270. What is the units digit of n? 8 Suppose -w = -i - 0*i + 6, 2*i = 3*w + 13. Suppose 2 - i = -u. Suppose -3*l + 2*n + u = -11, 3*l - 22 = 4*n. What is the units digit of l? 2 Let p = -568 + 1782. What is the hundreds digit of p? 2 Let g(t) = t**3 + 9*t**2 + 6*t - 2. Let z be g(-8). Suppose -z*f + 285 = -11*f. What is the tens digit of f? 9 Suppose 0 = -7*f - 0*f - 7. Suppose 0*r - 3*r + 30 = 0. What is the units digit of r + f - (-1 + 1)? 9 Let q = 108 - 51. Let b = q - 28. Suppose -4*p - 303 = -5*z, 5*z - 350 + b = -2*p. What is the tens digit of z? 6 Suppose 16 = g + 3*f - 37, -g + 4*f = -67. Suppose 30*q - 31*q + g = 0. What is the units digit of q? 9 Let c(o) = 3*o - 25. Let j be c(10). Suppose -3*h + 208 = s + 35, -s = -j. What is the units digit of h? 6 Suppose 3*q + 0 + 110 = -4*w, 4*w + 80 = -2*q. Let c be (-96)/30*q/(-4). Let f = c + 45. What is the tens digit of f? 2 Let p = 291 + 2. What is the units digit of p? 3 Suppose 36*m - 37*m = 0. Suppose -o + y + 2*y + 93 = m, -5*y - 287 = -3*o. What is the units digit of o? 9 Suppose -8 = -4*m + 3*i, -3*m - 2*i - 2*i = -6. Suppose -m*x - 9 = -x. What is the units digit of x/(12/4) - -10? 7 Let a be ((-12)/8)/((-3)/4). Suppose 0*i - 12 = -a*i. Suppose i = -5*y + 41. What is the units digit of y? 7 Suppose 0 = 2*d + 3*d - 15, -d - 9 = -4*y. What is the units digit of 28 + y/((-9)/12)? 4 Let k(z) = 2*z**2 + 13*z + 9. Let u be k(-6). Suppose 0 = u*q - 6*q. Let r = 31 - q. What is the units digit of r? 1 What is the thousands digit of 1470*(-1)/(-4)*-2*-2? 1 Let u = -13 + 18. Let r be (2/4)/(3/(-78)). What is the tens digit of u - (3 + -1) - r? 1 Let n(r) = -r**2 - 17*r - 14. Let s be n(-16). Suppose -5*z = s*z - 616. What is the units digit of z? 8 What is the tens digit of 2203/5 - 54/(-135)? 4 Let t = 1701 + -1276. What is the hundreds digit of t? 4 Let n(c) = c**3 - 10*c**2 + 37*c - 201. What is the hundreds digit of n(11)? 3 Suppose -3144 - 8826 = -38*z. What is the units digit of z? 5 Suppose 0 = 53*t - 51*t - 1270. What is the hundreds digit of t? 6 Let m be (-2)/7 - ((-33)/(-7) + -6). What is the units digit of m/5 + 6/(90/237)? 6 Suppose -86*w + 13*w = -343611. What is the thousands digit of w? 4 Let b = 5348 - 2238. What is the thousands digit of b? 3 Let a(z) = -3*z + 1. Let c(x) = -x**3 - 4*x**2 - 3*x + 2. Let l be c(-3). Suppose -l*i = -3*n - 15, -n + 2*i + 3*i + 8 = 0. What is the tens digit of a(n)? 2 Let b be 2/6 - (-3)/(-9). Suppose o - 10*o + 45 = 0. Suppose 0 = -3*k - 3*q + 33 + 75, b = -o*k + 4*q + 162. What is the units digit of k? 4 Let k = 139 - 131. Suppose k*g - 235 = 357. What is the tens digit of g? 7 Let a(d) = -d**2 - 7*d - 3. Let i be a(-6). Suppose -i*h + 130 = -h. What is the units digit of h? 5 Let v = 2588 - 1552. What is the hundreds digit of v? 0 Let d(t) = 135*t**3 + 10*t**2 - 8*t - 5. What is the hundreds digit of d(3)? 7 Let v = 32 - 27. Let w be (-3 + v)/(1/(-19)). Let g = w - -69. What is the units digit of g? 1 Let q(d) = -d + 5. Let u be q(0). Let g(c) = -5*c + 3. Let l(f) = 9*f - 4. Let z(p) = 7*g(p) + 4*l(p). What is the tens digit of z(u)? 1 Suppose 5*v = 2*m + 20, 4*v - 3*m + 3 = 19. Suppose n - 2*d = -7*d - 19, -19 = n - v*d. Let x = n - -35. What is the units digit of x? 6 Let z(f) = 2*f**2 - 4*f - 1. Let o be z(3). Suppose -210 = -o*i - 2*t, i - 2*t - 70 = -i. What is the units digit of i? 0 Suppose 3*a = 5*n + 271, -2*n = 4*a - 3*n - 350. What is the tens digit of a? 8 Let x(p) = -2*p**3 - 22*p**2 + 55*p - 9. What is the tens digit of x(-14)? 9 Let o(y) = -4*y - 56. Let c be o(-15). Suppose 11 = 5*n - c*n. What is the units digit of n? 1 Suppose 2*d + 5*j = 283, 5*j + 104 = d - 0*j. What is the tens digit of d? 2 Suppose 133*g + 1764 = 140*g. What is the tens digit of g? 5 Let s(l) = -340*l**3. Let b be s(-1). Suppose -2*p + b = -0*i + 3*i, -2*p = i - 348. Suppose 6 = -3*x, -2*o - 2*o + p = -4*x. What is the units digit of o? 2 Suppose -2*d + 7*d = w - 302, -3*d - 576 = -2*w. Suppose 3*v = -2*k + 438, -2*k - w = -2*v - 0*k. What is the hundreds digit of
{ "pile_set_name": "DM Mathematics" }
*r - 14634*r - 112207*r. -108244*r Collect the terms in 108*z**3 + 77*z**3 - 163*z**3. 22*z**3 Collect the terms in 107533767*z - 5*z**2 - 107533767*z. -5*z**2 Collect the terms in -2*y + 2*y**2 + 10 + 15 - 7. 2*y**2 - 2*y + 18 Collect the terms in -28 - 15*w - 1 + 13 - 5. -15*w - 21 Collect the terms in -244*p**2 - 1510*p**3 + 244*p**2 + 353*p**3. -1157*p**3 Collect the terms in 4*m**2 - 4*m**2 - 7*m**2 - 16*m**2 + 46*m**2. 23*m**2 Collect the terms in 235*h - 72*h + 17*h**2 - 163*h. 17*h**2 Collect the terms in -8587*x**2 + 25767*x**2 - 8585*x**2 - 8591*x**2. 4*x**2 Collect the terms in 122 - 365 + 11*i**2 + 121 - 31*i**2 + 122. -20*i**2 Collect the terms in -2657*q + 5272*q - 2621*q. -6*q Collect the terms in -585 + 585 - 1909*f. -1909*f Collect the terms in 913*l - 9*l**2 + 909*l - 1822*l. -9*l**2 Collect the terms in 8*x**3 - 7*x**3 + x**3 - 9*x**3 + 9*x**3 - 6*x**2. 2*x**3 - 6*x**2 Collect the terms in 50*d**3 + 47*d**3 - 215*d**3 + 69*d**3 + 51*d**3. 2*d**3 Collect the terms in 3*r + 3 - 4*r + 17*r - 5 + 5*r. 21*r - 2 Collect the terms in 84*z**3 + 52*z**2 - 52*z**2 + 8*z**3. 92*z**3 Collect the terms in 4*i**2 + 1 - 1 + 55*i**2. 59*i**2 Collect the terms in -21075 - 344*i + 21075 - 187*i. -531*i Collect the terms in 789*q**2 + 2*q + 647*q**2 - 2*q. 1436*q**2 Collect the terms in -17236*k**2 + 46 - 46. -17236*k**2 Collect the terms in -1279*r**3 + 2 - 2 - 10053*r**3. -11332*r**3 Collect the terms in -5*x**2 - 109*x + 18*x**2 - 5*x. 13*x**2 - 114*x Collect the terms in 1710 + 7*f**3 - 4*f**3 - 1329. 3*f**3 + 381 Collect the terms in -12529*n - 12565*n + 25095*n. n Collect the terms in 162*j + 313*j - 1065*j + 73*j. -517*j Collect the terms in -55 - 55*s**3 - 53*s**3 + 107*s**3 + 3. -s**3 - 52 Collect the terms in -587*q - 3463*q - 601*q. -4651*q Collect the terms in -13 + u**2 + 93 + 6*u**2 - 6*u + 2*u - 80. 7*u**2 - 4*u Collect the terms in 2 + 0 - 3293*h + 3419*h. 126*h + 2 Collect the terms in 11482*i**2 - 34273*i**2 + 11390*i**2 + 11399*i**2. -2*i**2 Collect the terms in -65*x**2 - 3*x**2 + 46*x - 2 - 65*x**2. -133*x**2 + 46*x - 2 Collect the terms in -13472*v**3 + 6750*v**3 + 6729*v**3. 7*v**3 Collect the terms in 433*b + 23 - 217*b + 37 - b**3 - 216*b. -b**3 + 60 Collect the terms in -81*j - 209860*j**2 + 209863*j**2 + 81*j. 3*j**2 Collect the terms in -2*t - 54 - t + 53. -3*t - 1 Collect the terms in 77*h - 170*h - 12*h**2 + 86*h. -12*h**2 - 7*h Collect the terms in 419083*n**3 + 419072*n**3 - 838156*n**3. -n**3 Collect the terms in 17*k**3 + 21*k**3 + 16*k**3 + 8*k**3 - 64*k**3. -2*k**3 Collect the terms in -7*c - 3*c**2 - 14*c + 5*c**2 + 20*c. 2*c**2 - c Collect the terms in q**3 - 23*q + 31*q + q**3 + 47*q - q**3. q**3 + 55*q Collect the terms in 1 + 1847*c - 1 + 480*c. 2327*c Collect the terms in 4447*h - 4447*h + 32*h**3. 32*h**3 Collect the terms in 38553*f**3 - 4*f - 5*f + 9*f - 38570*f**3. -17*f**3 Collect the terms in -11*x + 64*x**3 + 9*x - 55*x**3. 9*x**3 - 2*x Collect the terms in -298*y + 144*y + 61*y. -93*y Collect the terms in 1 - 5 - 3567*j**3 + 3 + 1. -3567*j**3 Collect the terms in -3931*t**3 + 6846*t**3 + 635*t**3 + 7179*t**3. 10729*t**3 Collect the terms in -28*s - 21*s - 28*s - 12*s - 33*s + 145*s. 23*s Collect the terms in 365*r**2 + 236*r - 234*r + 678*r**2 + 5 - 5. 1043*r**2 + 2*r Collect the terms in -485*j**2 + 1504*j**2 - 516*j**2 - 508*j**2. -5*j**2 Collect the terms in -43*o - 99*o - 4 + 17 - 48*o - 9. -190*o + 4 Collect the terms in 136*r**2 - 276*r**2 - 624*r**3 - r**3 + 140*r**2. -625*r**3 Collect the terms in -7089841*r - 7089846*r + 14179683*r. -4*r Collect the terms in -2*n**3 + n**3 + 7*n**3 + 8*n**3 - 5*n**3. 9*n**3 Collect the terms in -6*p**2 + 1435*p**3 + 6*p**2. 1435*p**3 Collect the terms in -100*p**2 - 72*p**2 - 74*p**2 + 240*p**2. -6*p**2 Collect the terms in 19*k**2 - 439 + 885 - 446. 19*k**2 Collect the terms in 152*n**2 - 148*n**2 + 65 + 19. 4*n**2 + 84 Collect the terms in 78*m**2 - 27 + 9 + 111*m**2. 189*m**2 - 18 Collect the terms in 0*l + 4*l - 137*l**2 + 20*l**2 - 3*l. -117*l**2 + l Collect the terms in -2*w**3 - 82 - 66 + 5*w**3 + 0*w**3. 3*w**3 - 148 Collect the terms in 11 - 28 + 11 + 8*n**2 + 1 + 9. 8*n**2 + 4 Collect the terms in -15418657493 + 15418657493 + y. y Collect the terms in -5*h**3 - 1420 + 3*h**3 + 619 + 650. -2*h**3 - 151 Collect the terms in -2 - 98*l**2 + 544*l**2 + 2. 446*l**2 Collect the terms in 231*c + 95 - 43 - 51. 231*c + 1 Collect the terms in 80*a**3 + 326*a**3 - 48*a**3. 358*a**3 Collect the terms in k**3 + 13*k**3 + 72*k**3 - 85*k**3. k**3 Collect the terms in 6007*q**2 - 5652*q**2 - 2 + 2. 355*q**2 Collect the terms in 3200*x + 3195*x + 24*x**3 - 6395*x. 24*x**3 Collect the terms in 2089 - 2188 + 3*d**2 - 4*d**2. -d**2 - 99 Collect the terms in -j**2 - 97*j**3 - 73*j**3 + 271*j**3 - 80*j**3. 21*j**3 - j**2 Collect the terms in 4*r**3 + 7 - 95 + 84. 4*r**3 - 4 Collect the terms in 1 + 319*v - 6 + 5. 319*v Collect the terms in 4796 - 2407 - 12*t - 2389. -12*t Collect the terms in -7*s - 109 + 109. -7*s Collect the terms in -17*z + 13 - 10*z + 29*z - 195 + 6. 2*z - 176 Collect the terms in 88811*n**2 - 177615*n**2 + 88806*n**2. 2*n**2 Collect the terms in -61 + 8*v + 157 - 36 - 55. 8*v + 5 Collect the terms in 16915860 + 8*y - 16915860. 8*y Collect the terms in 155 + 137 + 138 + 2*c - 428. 2*c + 2 Collect the terms in -191 - 427 + 5*p**3 + p**3 - 2*p**3. 4*p**3 - 618 Collect the terms in 15 - 360*z + 20 - 35. -360*z Collect the terms in -3203*g + 1400*g + 1809*g. 6*g Collect the terms in 8*n + 2091 + 6*n - 2091. 14*n Collect the terms in 509*x + 493*x - 1989*x + 510*x + 508*x. 31*x Collect the terms in 501 - 1488 + 495 - 50*r + 492. -50*r Collect the terms in -38*v - 351*v**3 + 38*v - 3019*v**3. -3370*v**3 Collect the terms in 159*b + 178*b - 324*b - 2 + 2. 13*b Collect the terms in -469*r**2 + 14*r - 37*r + 5*r**2 + 20*r. -464*r**2 - 3*r Collect the terms in 64*z + 40*z - 14*z - 13*z. 77*z Collect the terms in -956*i**2 - 949*i**2 + 1904*i**2 - 3*i**3. -3*i**3 - i**2 Collect the terms in 127*b**2 + 125*b**2 - 444*b + 121*b**2 - 372*b**2 + 444*b. b**2 Collect the terms in -26*h**2 - 97*h**2 - 197*h**2 + 44*h**2. -276*h**2 Collect the terms in 170181414 - 170181414 + 119*a**2. 119*a**2 Collect the terms in 76522*z**2 + 4 + 8 - 12. 76522*z**2 Collect the terms in -7 - 97*a**2 + 1 + 107*a**2 + 6. 10*a**2 Collect the terms in -10*l - 3*l + 17*l - 4*l - 409*l**2. -409*l**2 Collect the terms in 2*k**3 + 4*k**3 - 12*k**3 + 6*k**3 + 7*k**3. 7*k**3 Collect the terms in 11331263 - 11331263 - 11*y. -11*y Collect the terms in 33720*z**3 + 33715*z**3 - 67438*z**3. -3*z**3 Collect the terms in 4136*o**2 - 8298*o**2 + 4159*o**2. -3*o**2 Collect the terms in -7*y - 469*y**3 + y + 467*y**3. -2*y**3 - 6*y Collect the terms in 337*n**2 + 17*n**3 - 337*n**2 + 55*n**3 + 19*n**3. 91*n**3 Collect the terms in 2*s**2 + 2*s**2 - 6*s**2 + s + 3*s. -2*s**2 + 4*s Collect the terms in -2271*q + 4559*q - 2306*q. -18*q Collect the terms in -6*k**2 + 15*k + 62*k + 8*k**2. 2*k**2 + 77*k Collect the terms in -14 + 2*y - 17 + 56 - 8 - 17. 2*y Collect the terms in 548 - 191 + 3*y**2 - 145 - 212. 3*y**2 Collect the terms in 4377*x - 3 - 2191*x - 2182*x. 4*x - 3 Collect the terms in 968*p**2 + 816*p**2 - 2761*p**2 + 973*p**2. -4*p**2 Collect the terms in -2624*l**3 - 1 + 2504*l**3 + 1. -120*l**3 Collect the terms in 45*v - 27129*v**3 + 13559*v**3 + 13571*v**3. v**3 + 45*v Collect the terms in 6*t**2 + 15*t**2 + 13*t**2 - 86*t**2 + 45*t**2. -7*t**2 Collect the terms in -17*b - 17*b + 19*b + 24*b. 9*b Collect the terms in 1552 - 21*b**2 - 3*b + 22*b**2 + 3*b. b**2 + 1552 Collect the terms in 29*t - 59*t + 50*t. 20*t Collect the terms in 84*m**2 + 114*m**2 + 5 + 108*m**2. 306*m**2 + 5 Collect the terms in 8*a**2 + 2 - 4 + a**2 - 7*a**2. 2*a**2 - 2 Collect the terms in -2079*x - 3136*x + 589*x. -4626*x Collect the terms in 20*r - 10 - 5*r - 15*r + 181*r**2. 181*r**2 - 10 Collect the terms in 1 - 1 - 95623*t**3 + 95631*t**3. 8*t**3 Collect the terms in -5 - s + 2*s**3 + s + 1836*s**2 + 6. 2*s**3 + 1836*s**2 + 1 Collect the terms in -10237*w**3 + 20543*w**3 - 10241*w**3. 65*w**3 Collect the terms in 718478 - 718478 - 74*h. -74*h Collect the terms in 29*b - 69*b + 11*b + 11*b + 11*b + 5*b. -2
{ "pile_set_name": "DM Mathematics" }
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True Is 18551759 a prime number? True Is 44428633 a composite number? True Is 539731 a prime number? False Is 628132917 composite? True Is 26844497 prime? True Is 7447535 prime? False Is 91392529 a composite number? True Is 1790423 a composite number? True Is 5587761 a prime number? False Is 1694323 composite? True Is 59244439 prime? False Is 58059907 a composite number? False Is 208961029 a prime number? False Is 1444411 a prime number? True Is 52915471 composite? True Is 9349969 composite? False Is 5679467 prime? True Is 36339487 prime? True Is 29402627 prime? False Is 17425753 composite? False Is 24251243 a composite number? True Is 1748533 a prime number? False Is 28081019 a prime number? False Is 46339039 a composite number? True Is 7833107 a prime number? False Is 5946977 a prime number? False Is 16396099 a prime number? True Is 5109433 prime? False Is 27894767 prime? True Is 83667751 a prime number? True Is 1848081 composite? True Is 16568087 a prime number? True Is 1017031 composite? False Is 9887941 a composite number? True Is 17753179 composite? False Is 841162211 composite? False Is 6040445 composite? True Is 7240963 composite? True Is 4195679 a prime number? True Is 1333649 prime? True Is 78543719 a composite number? True Is 16576907 a prime number? True Is 72315237 composite? True Is 10388821 a prime number? True Is 1972541 composite? False Is 448583 a composite number? True Is 838763413 composite? True Is 549833 a prime number? True Is 92345597 prime? False Is 12112391 prime? False Is 118762417 composite? False Is 20060153 a composite number? True Is 10724921 a composite number? True Is 24759043 a composite number? False Is 50669543 a composite number? False Is 523138789 prime? False Is 13406611 prime? False Is 55024183 prime? True Is 33994723 a composite number? True Is 137695 composite? True Is 418085737 prime? True Is 65589033 a composite number? True Is 92645171 a prime number? True Is 119514469 composite? False Is 94194703 composite? False Is 375262 a composite number? True Is 233915933 a prime number? True Is 207997 prime? True Is 84332489 a composite number? False Is 6276269 a prime number? True Is 114040399 prime? False Is 17808257 a prime number? True Is 23365367 composite? True Is 10389667 a composite number? False Is 6213947 composite? False Is 6503851 a composite number? False Is 28559617 prime? True Is 53653387 a composite number? False Is 90101 a composite number? True Is 11660599 prime? True Is 1275107 prime? True Is 45758081 a prime number? True Is 23056377 composite? True Is 41468851 a composite number? True Is 3746359 prime? True Is 349291 composite? False Is 17406941 a prime number? False Is 8423071 a composite number? False Is 189062479 a composite number? False Is 51379051 composite? True Is 115730291 prime? True Is 8178307 prime? True Is 44283859 a prime number? True Is 12187199 prime? True Is 308471313 a prime number? False Is 16360637 prime? True Is 19166779 composite? False Is 28472541 composite? True Is 107723923 a composite number? True Is 20411129 prime? True Is 349701649 a prime number? False Is 1493849 prime? False Is 11529589 a prime number? True Is 618973 a prime number? False Is 680917 a prime number? True Is 1138601 composite? True Is 7852034 prime? False Is 488870555 a prime number? False Is 18942883 composite? False Is 166005107 composite? False Is 52078265 a composite number? True Is 9150326 prime? False Is 21257141 prime? True Is 262087187 a prime number? True Is 703610123 a prime number? True Is 5642489 prime? True Is 9129977 composite? True Is 2902283 composite? True Is 17725541 a prime number? False Is 269030449 prime? False Is 135423271 prime? True Is 5720797 a composite number? True Is 8758909 a composite number? True Is 6490601 composite? True Is 54275261 composite? False Is 37631273 a composite number? False Is 1338053027 a prime number? False Is 27724363 a composite number? True Is 8895041 a composite number? True Is 20238313 a composite number? True Is 1928207 prime? True Is 109663217 composite? True Is 14133911 prime? False Is 37239001 prime? False Is 7253189 a composite number? False Is 91932913 composite? False Is 8251219 composite? False Is 45828487 prime? True Is 301789 composite? False Is 7478939 prime? False Is 2657323 prime? F
{ "pile_set_name": "DM Mathematics" }
denominator of 37/306 and 97/12. 612 What is the least common multiple of 12 and 396? 396 Find the common denominator of -37/4644 and -47/33. 51084 What is the smallest common multiple of 44 and 60? 660 Calculate the smallest common multiple of 20 and 105. 420 Calculate the smallest common multiple of 130 and 440. 5720 Calculate the common denominator of -82/1581 and 89/3162. 3162 Calculate the smallest common multiple of 11 and 62. 682 What is the common denominator of -1/3 and -139/162? 162 What is the smallest common multiple of 48 and 216? 432 Find the common denominator of -59/40 and 75/32. 160 Calculate the common denominator of -187/270 and 13/75. 1350 Calculate the least common multiple of 210 and 105. 210 Calculate the smallest common multiple of 414 and 102. 7038 What is the common denominator of 23/222 and -58/9? 666 What is the lowest common multiple of 164 and 943? 3772 What is the common denominator of -19/63 and 4/63? 63 What is the common denominator of -89/96 and 43/684? 5472 Calculate the common denominator of 31/66 and -73/16. 528 Calculate the least common multiple of 5976 and 126. 41832 What is the lowest common multiple of 36 and 90? 180 What is the least common multiple of 196 and 252? 1764 Find the common denominator of 111/14 and -131/60. 420 Calculate the common denominator of 117/308 and -31/88. 616 Calculate the least common multiple of 6 and 217. 1302 Find the common denominator of -76/45 and -119/144. 720 What is the lowest common multiple of 3 and 495? 495 Find the common denominator of -97/522 and -20/63. 3654 Calculate the smallest common multiple of 180 and 108. 540 What is the smallest common multiple of 54 and 54? 54 What is the smallest common multiple of 148 and 12? 444 Calculate the common denominator of -3/884 and -13/14. 6188 Calculate the lowest common multiple of 10346 and 14. 10346 What is the common denominator of -53/72 and 31/8? 72 Calculate the common denominator of -49/170 and -51/4. 340 Calculate the common denominator of -33/2 and -46/113. 226 Calculate the common denominator of -31/6744 and 127/6. 6744 Calculate the common denominator of 121/12 and 68/321. 1284 Find the common denominator of -5/48 and -109/300. 1200 Calculate the common denominator of 9/16 and 61/224. 224 What is the least common multiple of 64 and 1? 64 Calculate the common denominator of -35/47 and 56/5. 235 What is the common denominator of -17/56 and -64/21? 168 Find the common denominator of 49/909 and 6/101. 909 Calculate the lowest common multiple of 18 and 801. 1602 Calculate the lowest common multiple of 10 and 25. 50 Find the common denominator of -107/20 and 27/20. 20 What is the least common multiple of 66 and 42? 462 Calculate the common denominator of -119/48 and 50/411. 6576 Calculate the lowest common multiple of 6143 and 6. 36858 Find the common denominator of 46/45 and 2/35. 315 Find the common denominator of 67/708 and -11/236. 708 What is the common denominator of -65/72 and -17/72? 72 What is the common denominator of 74/1947 and -79/15? 9735 Calculate the common denominator of -68/1545 and -34/7. 10815 Find the common denominator of 27/88 and -137/198. 792 Calculate the common denominator of -16/5 and 43/1018. 5090 Calculate the lowest common multiple of 4 and 1728. 1728 What is the least common multiple of 12 and 305? 3660 What is the lowest common multiple of 120 and 48? 240 What is the smallest common multiple of 1050 and 21? 1050 What is the common denominator of -83/63 and -71/210? 630 What is the lowest common multiple of 12 and 456? 456 Find the common denominator of -91/300 and -79/6. 300 Find the common denominator of 41/10 and -91/310. 310 What is the lowest common multiple of 136 and 2448? 2448 What is the least common multiple of 48 and 240? 240 What is the smallest common multiple of 9 and 840? 2520 Calculate the least common multiple of 360 and 58. 10440 What is the least common multiple of 8 and 124? 248 Calculate the smallest common multiple of 30 and 96. 480 Calculate the common denominator of 31/24 and -119/54. 216 Calculate the common denominator of -31/2000 and 69/112. 14000 Calculate the common denominator of 113/50 and 57/5060. 25300 Find the common denominator of 9/10 and -17/2745. 5490 Calculate the common denominator of 51/100 and 67/15. 300 Calculate the lowest common multiple of 88 and 264. 264 What is the common denominator of -47/33 and 41/605? 1815 Calculate the smallest common multiple of 64 and 40. 320 What is the least common multiple of 328 and 104? 4264 Calculate the common denominator of -109/500 and -12/11. 5500 Find the common denominator of -89/430 and -3/1634. 8170 Calculate the common denominator of -167/1716 and -61/156. 1716 Calculate the common denominator of 83/10 and -39/8. 40 Calculate the smallest common multiple of 38 and 1408. 26752 What is the least common multiple of 1254 and 174? 36366 Calculate the lowest common multiple of 84 and 30. 420 Calculate the common denominator of 31/154 and -87/112. 1232 What is the common denominator of -103/192 and -41/102? 3264 Calculate the common denominator of -16/11 and -47/9. 99 What is the least common multiple of 368 and 52? 4784 What is the least common multiple of 9 and 15? 45 Find the common denominator of -64/75 and 51/1325. 3975 Find the common denominator of -37/168 and 143/280. 840 Calculate the common denominator of -79/14 and -89/231. 462 What is the common denominator of 31/2805 and 88/3825? 42075 Calculate the smallest common multiple of 240 and 180. 720 Calculate the common denominator of 29/24 and 31/324. 648 Calculate the common denominator of -59/1314 and -95/22. 14454 What is the smallest common multiple of 585 and 33? 6435 Find the common denominator of 59/12 and -111/10. 60 What is the lowest common multiple of 9 and 57? 171 Calculate the smallest common multiple of 52 and 2. 52 What is the lowest common multiple of 8 and 376? 376 What is the common denominator of -42/31 and -35/12? 372 Find the common denominator of 73/750 and -17/39. 9750 What is the lowest common multiple of 5757 and 57? 5757 What is the common denominator of 143/1680 and -1/220? 18480 Calculate the lowest common multiple of 19 and 4171. 79249 Calculate the lowest common multiple of 1548 and 3612. 10836 What is the lowest common multiple of 14 and 1? 14 What is the least common multiple of 27 and 117? 351 Calculate the common denominator of 43/15633 and -73/30. 156330 What is the common denominator of -13/5 and 5/682? 3410 What is the common denominator of -75/136 and 89/374? 1496 Calculate the common denominator of 81/76 and 23/418. 836 Calculate the common denominator of -75/352 and 23/198. 3168 Calculate the least common multiple of 66 and 42. 462 What is the common denominator of 5/327 and 18/5? 1635 Calculate the lowest common multiple of 207 and 460. 4140 Find the common denominator of 43/600 and -73/18. 1800 What is the common denominator of -55/144 and 37/3? 144 Calculate the common denominator of 19/16890 and 63/2. 16890 Calculate the common denominator of 73/192 and -46/303. 19392 What is the lowest common multiple of 7 and 1085? 1085 Calculate the common denominator of -89/4650 and -113/400. 37200 What is the common denominator of -17/1092 and -43/924? 12012 Calculate the common denominator of -35/384 and -29/2304. 2304 Calculate the lowest common multiple of 803 and 2555. 28105 What is the smallest common multiple of 20 and 544? 2720 Find the common denominator of 49/136 and -57/2. 136 Calculate the common denominator of 97/360 and 67/320. 2880 Find the common denominator of 137/2562 and 121/24. 10248 Calculate the least common multiple of 298 and 10. 1490 Calculate the common denominator of -55/1576 and -9/2. 1576 Find the common denominator of 86/15 and 14/309. 1545 Calculate the least common multiple of 10 and 3104. 15520 What is the lowest common multiple of 2805 and 1870? 5610 What is the common denominator of -71/351 and 15/26? 702 What is the smallest common multiple of 30 and 110? 330 Calculate the lowest common multiple of 1305 and 15. 1305 What is the lowest common multiple of 14 and 8? 56 What is the least common multiple of 21 and 196? 588 Find the common denominator of -145/6 and -5/28. 84 Calcul
{ "pile_set_name": "DM Mathematics" }
*u - 9*d**2 + d*u**3 + 1321*d*u - 93*u**3 + 3*u wrt u. 1904*d**2 + 6*d*u - 558*u Find the second derivative of 5254169*w**5 - 2*w**2 + 3882557*w. 105083380*w**3 - 4 What is the first derivative of -170*i*o*w - 28787*i*w + 1243*o*w + 3*o + 41986*w wrt i? -170*o*w - 28787*w Find the second derivative of -34414*c**4 + 52*c**2 + 29*c - 40696. -412968*c**2 + 104 Find the third derivative of 92393*d*m**3 + 3*d*m**2 + 3*d*m + 8*d + 179*m**3 + 9*m**2 + 2*m + 215 wrt m. 554358*d + 1074 Find the second derivative of -11163271*r**4 + 3*r**2 - 7429064*r. -133959252*r**2 + 6 What is the second derivative of -3055*l**2*n**3 + 2*l**2*n**2 - 1580*l**2 + 32*l*n**3 + 9*n**3 + 13*n**2 - 213*n - 3 wrt l? -6110*n**3 + 4*n**2 - 3160 What is the first derivative of 889503*i*y**2 - 1142252302*i + 236*y**2 wrt y? 1779006*i*y + 472*y What is the third derivative of -11*d**6 - 4*d**5 + 358*d**4 - 1676*d**2 + 6*d - 21 wrt d? -1320*d**3 - 240*d**2 + 8592*d What is the second derivative of -12023648*o**2 - 2549*o + 1625 wrt o? -24047296 What is the derivative of -79363*a*k**3 - 31*a*k**2 + 2*a - k**3 + 2*k**2 - k - 43450 wrt a? -79363*k**3 - 31*k**2 + 2 What is the derivative of 6*s*z - 1282*s + 3166443*z - 12574 wrt z? 6*s + 3166443 Differentiate 2731771*a**2*v**3 + 11*a**2*v - 170283*a**2 - 40 with respect to v. 8195313*a**2*v**2 + 11*a**2 Differentiate -9936987*z - 7962732 wrt z. -9936987 Find the first derivative of 687*x**3 + 4976*x + 41661449. 2061*x**2 + 4976 Find the third derivative of 482656*b**3*t**3 + 2*b**3*t**2 - 407975*b**2*d*t**2 + 5*b*d*t - 430*d*t**3 wrt t. 2895936*b**3 - 2580*d Find the third derivative of 56*k**5 - 4*k**4 + 53733*k**3 + 151421806*k**2. 3360*k**2 - 96*k + 322398 Differentiate 13873317*i**4 - 624672 wrt i. 55493268*i**3 Differentiate -255*v**3 - 12*v**2 + 249*v - 86581866. -765*v**2 - 24*v + 249 What is the derivative of -2151*b**3*t + 31*b**3 + 3182*b*t + 67834 wrt t? -2151*b**3 + 3182*b What is the derivative of 231098340*w**3 - 1420276822 wrt w? 693295020*w**2 Find the third derivative of 38820229*j*s**4 - 72*j*s**2 - 364178*s**2 wrt s. 931685496*j*s Differentiate 93685504*p - 402039916. 93685504 Find the third derivative of 91*l**4 - 528054*l**3 - 1969*l**2 + 16655*l. 2184*l - 3168324 Find the second derivative of -15*g*l**3 - 414*g*l - 73*l**3*v + 138*l**3 + 321*l*v - 58*v wrt l. -90*g*l - 438*l*v + 828*l Find the third derivative of -127725025*r**3*z**3 - 4*r**3*z**2 - 68*r**3*z - 9*r**3 - 2503*r*z**2 + 2*z**2 wrt z. -766350150*r**3 Differentiate 95*h**3 + 77509*h**2 - 2*h + 181704020. 285*h**2 + 155018*h - 2 Differentiate -4*f**4 - 17741641*f**3 + 74207145 with respect to f. -16*f**3 - 53224923*f**2 What is the first derivative of 42263946*z + 18582194? 42263946 Find the first derivative of 407416988*r**4 + 407701555. 1629667952*r**3 What is the third derivative of -26500936*b**3*d**2 + 1236*b**2*d**2 + 3*b**2*d + 5076*d**2 wrt b? -159005616*d**2 What is the first derivative of 2*k**3 - 4*k**2 - 19125*k - 101235238 wrt k? 6*k**2 - 8*k - 19125 What is the derivative of -l**2*n*v - 6*l**2*v**2 + 2*l**2 + 12*l*n**2*v**2 - l + 1425*n**2 - v**2 - 6*v - 1139 wrt n? -l**2*v + 24*l*n*v**2 + 2850*n What is the derivative of -16505211*w**4 + 27373930? -66020844*w**3 What is the second derivative of 40595*k**3 - 87*k**2*l + 4369463*k*l wrt k? 243570*k - 174*l What is the derivative of 954591*o**3*p + 33*o**3 - o**2*p + 15*o*p - 616555 wrt p? 954591*o**3 - o**2 + 15*o What is the third derivative of -16741*a**6*n + 36*a**3*n - 32*a**2*n + 269*a**2 + 301*n wrt a? -2008920*a**3*n + 216*n Find the second derivative of -58437521*k**4 - k**3*v**2 + 109*k*v**2 - k*v + 16*k - 227*v**2 wrt k. -701250252*k**2 - 6*k*v**2 What is the third derivative of -24*j**5 - 13*j**4 - 19950*j**3 - 203492577*j**2 wrt j? -1440*j**2 - 312*j - 119700 Differentiate -5508544*z**2 - 6011781. -11017088*z What is the third derivative of 626*j**4 - 4616*j**3 + 5296992*j**2? 15024*j - 27696 What is the second derivative of -146314977*x**5 + 2079*x + 3739 wrt x? -2926299540*x**3 Find the second derivative of 78*a**5 - 17466*a**4 + 419507834*a. 1560*a**3 - 209592*a**2 Find the first derivative of 20*b**2*k**2*z - 2*b**2*k**2 - 29*b**2*k + 1355*b*k**2 + 2*b + 105980*k**2*z - 1 wrt z. 20*b**2*k**2 + 105980*k**2 What is the third derivative of 61412346*t**3*z - 2*t**2*z - 3*t**2 - 2*t*z + 1590*t - z - 48 wrt t? 368474076*z Differentiate -216178417*n + 202127103 wrt n. -216178417 What is the third derivative of 14801*g*z**4 - 1262*g*z**3 - 406*g*z**2 + g*z + 57*z**2 + 23 wrt z? 355224*g*z - 7572*g Find the second derivative of 352*r**4 - 281*r**3 - 2*r**2 + 11777205*r. 4224*r**2 - 1686*r - 4 What is the derivative of -5587*u**2 - 8003*u - 243591295 wrt u? -11174*u - 8003 Find the second derivative of 34936*g**2*h*i - 1021*g**2*i**3 + 2*g**2*i**2 + g*h*i**2 + 2*g*h - 985*g*i + 6*h*i**3 - 353*h*i**2 - 2*i**3 wrt g. 69872*h*i - 2042*i**3 + 4*i**2 What is the third derivative of 145753931*v**5 - 3206*v**2 - 18*v + 32? 8745235860*v**2 What is the second derivative of -11*b*h**3 - 193*b*h + 20389*h**4 - 8*h**3 - 107232*h wrt h? -66*b*h + 244668*h**2 - 48*h What is the second derivative of -u*y**3 + 585*u*y**2 + 10*u*y + 2*u - 3672*y**3 + 885*y - 6 wrt y? -6*u*y + 1170*u - 22032*y What is the third derivative of -2*c**5 + 4247727*c**3*m**2 + 29738158*c**2*m**2 wrt c? -120*c**2 + 25486362*m**2 Find the third derivative of -3345658*a**4 + 2*a**3*y**2 + 20*a**2*y**2 - 3*a**2*y - 9*a - 154*y + 13 wrt a. -80295792*a + 12*y**2 Find the third derivative of 5*a**3*l**3*z**3 - 223*a**3*l*z**3 + a**2*l**3*z - a**2*l*z - 33*a**2*z - 234*a*l**2 - 2*a*l*z + l**2*z**3 wrt a. 30*l**3*z**3 - 1338*l*z**3 Find the second derivative of -148440658*s**2 + 430236607*s. -296881316 Find the second derivative of -6702312*c**4 + 448520*c + 39. -80427744*c**2 What is the second derivative of -1482059*d**2*g**2 + d**2*g + 10*d**2 + 6*d*g**2 + d*g - 2020542*g**2 wrt d? -2964118*g**2 + 2*g + 20 What is the third derivative of 3462791*r**6 + 4919*r**2 + 2*r + 23 wrt r? 415534920*r**3 Find the third derivative of 2782*b**3*h*q + 26*b**3*h - 2*b**3*q + b**3 - 2*b**2*h*q + 5*b**2*q + 6551979*b - 2*h*q wrt b. 16692*h*q + 156*h - 12*q + 6 What is the second derivative of 2503453*o**2*r**5 - 131838*o**2*r + 9*o*r + 2*r**5 wrt r? 50069060*o**2*r**3 + 40*r**3 Find the third derivative of -45096472*v**3 - 38186018*v**2. -270578832 What is the second derivative of 3129*o**3*y + o**3 + 34*o**2*y**2 - 4*o*y**2 + 1530*o*y + 4*o + 12*y**2 wrt o? 18774*o*y + 6*o + 68*y**2 What is the second derivative of -3*i**4 - 43470*i**3 - 2*i**2 - 12*i + 308613 wrt i? -36*i**2 - 260820*i - 4 Find the second derivative of 4020*q**2*u**2 + 2*q**2*u - 185*q**2 - 5398*q*u**2 - 29*q*u + 38*u**2 wrt q. 8040*u**2 + 4*u - 370 What is the second derivative of 2*r**2*u**3 + 370*r**2*u**2 + 49*r**2*u + 2*r**2 - 2*r*u**3 + 14389*r*u**2 - 3*r - 2*u**3 + 1 wrt r? 4*u**3 + 740*u**2 + 98*u + 4 Differentiate -37409100*h*n*p**2 - 3*h*p**3 - 8*n*p**3 - 6074*n + 14*p**3 + 3*p wrt h. -37409100*n*p**2 - 3*p**3 Find the third derivative of -11047204*k**4 + 5317261*k**2. -265132896*k Find the third derivative of 1004650551*s**5 + 667*s**2 - 273134 wrt s. 60279033060*s**2 What is the second derivative of -2440*o**2*p + 1707*o**2 - 2455090*o*p wrt o? -4880*p + 3414 What is the third derivative of -265*b*x**4 + 2*b*x**3 + 2*b*x**2 + 2067*x**4 + x**3 + 2193*x**2 + 302*x - 8 wrt x? -6360*b*x + 12*b + 49608*x + 6 Find the first derivative of -410342764*m - 350381154 wrt m. -410342764 What is the second derivative of -17*k**5 - 4617673*k**3 + 11*k - 1113009? -340*k**3 - 27706038*k What is the third derivative of -75949941*b**3 + 38353540*b**2? -455699646 Find the second derivative of -926*b**4*c**3 - 11667*b**2*c - 13*b*c**3 - 2*b*c - 422*c**3 - 2*c**2 + 10*c wrt b. -11112*b**2*c**3 - 23334*c Find the third derivative of -175789510*x**6 + 124501495*x**2 wrt x. -21094741200*x**3 What is the second derivative of 52*c**2*i**3 - 43*c**2*i + 4*c**2 - 51*c*i**3 + 1017*c*i + 26*i**3 wrt i? 312*c**2*i - 306*c*i + 156*i Find the third derivative of -589*b**2*d**3 - 3*b**2*d**2 - 4*b**2*d - 362*b*d**2 - 574*b + 24588*d**6 wrt d. -3534*b**2 + 2950560*d**3 Find the second derivative
{ "pile_set_name": "DM Mathematics" }
= -6*d - 132. Let n(s) = 3*s**2 - 6*s + 4. Let y be n(5). Suppose -4*r + 3 = 23, y = 2*a - 5*r. Calculate the lowest common multiple of a and d. 132 Let b(u) = -364*u**3 - u**2 - u. Let q = -12 + 11. Let o be b(q). Calculate the smallest common multiple of 1/(-3) + o/39 and 9. 9 Suppose -n = 4*n + 73795. Let a = n + 295121/20. Calculate the common denominator of a and 2/7 - (-517)/(-70). 20 Suppose 6*t - 92 = -38. Suppose 0 = 4*y - 0*a + 5*a - 286, 2*a - 73 = -y. What is the least common multiple of t and y? 207 Let w = 690 + -686. Let n(d) be the third derivative of d**4/24 - d**3/3 - 2*d**2. What is the lowest common multiple of w and n(6)? 4 Suppose -6*y + 1788 - 1608 = 0. What is the least common multiple of 33 and y? 330 Let a = -9679/1330 + -3/133. Let f be 1/2 - (-2882)/(-44). Let w = 657/10 + f. What is the common denominator of w and a? 10 Let a = -43810779/8760445 + -15592485069710249/1398727690480. Let f = a + 1833/9979. Let s = f + 11156. What is the common denominator of 89/18 and s? 144 What is the lowest common multiple of 36 and (40/(-50))/((-2)/10)? 36 Let j = -10626341/135 + 78713. Calculate the common denominator of -82/135 and j. 135 Let o = -14/115 + -9287/230. Find the common denominator of o and ((-3)/2)/(5/(-165)). 2 Suppose -6*p - 3*p + 18 = 0. Suppose p*s + 124 = 4*s - 2*j, -s + 5*j + 62 = 0. What is the least common multiple of s and 16? 496 Let o be ((-4)/(-3))/((-9)/(-189)). Let j = o + -10. What is the least common multiple of 2 and j? 18 Let k = 4625 - 101689/22. Find the common denominator of 1855/(-318)*(-6)/(-14) and k. 22 Let t = 404 + -223. Let o = t + 99. Find the common denominator of 45/2 and 508/o - (-4)/14. 10 Let x = -43 + 47. What is the lowest common multiple of 60 and x? 60 Let y(f) = -7 + 19 + 6 - 3*f. What is the least common multiple of y(0) and 18? 18 Let j = 19 + -15. Calculate the common denominator of 51/7 and 61*1*-1*j/(-24). 42 What is the lowest common multiple of (12 + -10)/(((-5)/12)/(-5)) and 20? 120 Let z = -667 - -709. Calculate the smallest common multiple of z and 18. 126 Suppose -45 = 29*o - 32*o. Calculate the least common multiple of o and 1. 15 Let z be (1/(3/4247))/((-2)/(-12)). Let c = z + -135977/16. Find the common denominator of c and 55/42. 336 Suppose 4*i + 5*t = 2*i + 85, 3*i + 4*t = 131. What is the common denominator of 3 + (-26)/8 - i/132 and 65/14? 154 Suppose 2*z = -3*z + 30. Suppose -2*c - c + z = 0. Suppose 3*a - c*a - 8 = 0. What is the lowest common multiple of 6 and a? 24 Find the common denominator of 1/(-5)*252/(-72) and 14/9. 90 Let b be -3 - (-2 - 0)*1. Let l = 8 + b. Let i = 10 + 1. Calculate the least common multiple of i and l. 77 What is the common denominator of (-222)/93 + (-6)/(-4) + 0 and -71/14? 434 Let t be (-68)/12*1 - 6/(-9). What is the least common multiple of 1 and (-3 - -3 - t) + 2? 7 Let j = 4439/4 - 1096. Let q = -141031/10 + 14091. Calculate the common denominator of j and q. 20 Let p(l) = 360*l**2 - 7*l - 7. Let y be p(-1). What is the common denominator of (-895)/y - (-1 - 22/(-18)) and -133/54? 216 Let u = 44 - 35. Suppose u*c = 3*c + 108. Calculate the lowest common multiple of 20 and c. 180 Suppose -3 = 3*j - 6. Let l = j - -11. Calculate the least common multiple of l and 8. 24 What is the common denominator of -5/8 and ((-5)/(3360/906))/(9/2)? 504 Let k(j) = -j**3 + 14*j**2 - 5*j - 24. Let m be k(13). Let p = -14377/8 + 1801. Calculate the common denominator of p and -4 + ((-972)/m)/(-9). 40 Suppose -j + 4 = 3*r - r, 4*r - j = -4. Let x = r - -5. Find the common denominator of (-54)/x - (-12)/4 and -37. 5 Let k = -6 + 5. Let u be k*(14 + -2)*-1. Let t = -9 + u. Calculate the lowest common multiple of t and 1. 3 Let w = 2/781 - 570/781. Let y be (-9441)/816*(-2)/3. Let t = 5/136 + y. Calculate the common denominator of w and t. 44 Suppose 18 = 3*b + 5*o, 4*b - 24 = -0*b - 3*o. Suppose -9*d = -b*d - 84. Suppose 13*i + d = 15*i. What is the smallest common multiple of 1 and i? 14 Calculate the common denominator of (4/(-11))/((-42)/287) and ((-413)/(-28))/((-33)/4). 33 Let u be 0 + -6 + 7 + -4. Calculate the least common multiple of 1 and 3 - 0 - (u - -1). 5 Let b(y) = y**3 - y + 8. Let c = -3009 - -3029. Calculate the least common multiple of c and b(0). 40 What is the common denominator of 67/20 and (-58235)/(-48678) - 8/6? 8540 Let u = -247867/12 - -20668. Let v = -141679/3 - -47653. Let c = -12539/30 + v. Calculate the common denominator of u and c. 60 Suppose -66 + 16 = -2*o. Suppose 12*g - o = -1. Calculate the least common multiple of 9 and g. 18 Let x = -23 + 29. Let r(p) = 5*p - 8. What is the smallest common multiple of r(8) and x/15 - 272/(-20)? 224 Suppose -14 = 4*y - 18. Calculate the common denominator of (-2)/(-7) - 1/14 and ((-339)/3)/(y/((-4)/72)). 126 Suppose -19*y - 5*l - 34 = -23*y, -2*l - 28 = -4*y. Calculate the lowest common multiple of 44 and y. 132 Let j = 27 - 21. Let u(a) = 3*a - 14. What is the least common multiple of u(j) and 1? 4 Calculate the common denominator of (4/(-30))/((-2)/3) and (((-1014)/20)/13)/(7 - (-76)/(-20)). 160 Let q = 48 - 20. Calculate the common denominator of ((154/(-17))/(-7))/(-2 + 0) and q. 17 Suppose 2*w - 92 = -2*d, 0 = -3*d - 26*w + 30*w + 152. Calculate the least common multiple of d and 15. 240 Let k(t) = 10*t - 15. Let n(r) = -2*r**2 - 5*r + 5. Let l be n(2). Let w be k(l). What is the common denominator of (12/16)/(9/w) and 59/8? 24 Calculate the smallest common multiple of 5/(-4*(-1)/32) and 56. 280 Find the common denominator of (6/45 + (-8788)/(-240))/9 and 3. 12 Suppose g = 4*g - 33. Suppose 2*l - 2 + 0 = 0. Calculate the smallest common multiple of l + 1 - (4 - 7) and g. 55 Suppose 1015 = 5*o - 2*o - 2*w, -5*o + 1670 = w. What is the least common multiple of o and 50? 3350 Suppose y - 5*d = -y + 53, 0 = -4*d - 4. Calculate the least common multiple of y and 8. 24 Let x = -88/19 - -1553/323. Let c = 29/68 - x. Calculate the common denominator of c and -35/16. 16 Find the common denominator of 3/((-2592)/519) - (0 - 1) and 29/8. 288 Let f(v) = 15*v + 4 - 9*v - 6 + 0. Calculate the smallest common multiple of f(2) and 13. 130 Let i(s) = 3*s - 89. Let p be i(0). What is the common denominator of p/2*(0 + -1) and 20/9? 18 Let v = 323/105 - 14/15. Suppose -3*n + 275 - 35 = 0. What is the common denominator of 1008/n - (-1 - -1) and v? 35 Let r = 15541/2070 - -74/345. Let v = 65593/182 + -2543/7. What is the common denominator of v and r? 234 Let t(j) = j**3 + j**2 - j + 6. Let f = 12 - 8. Suppose 4*u = -4*v + 36, -v - 1 = f*u - 4. What is the lowest common multiple of t(0) and v? 66 Suppose -5*r = 4*p - 891, 0 = 2*p - 3*p - 5*r + 219. What is the lowest common multiple of p and 392? 1568 Let x be (40/(-510) - (-1)/(-3))*-11. Let d = x - -245/51. Calculate the common denominator of d and 538/(-126) - (-2)/(-7). 9 Suppose -4*i + 7*i - 9 = 0. Let o(b) = -2*b + b**3 + i + 0*b**3 - b + 3*b**2. Calculate the least common multiple of 12 and o(-3). 12 Suppose -12*i - 1440 = -4*i. What is the smallest common multiple of 7 and ((-2)/3)/(40/i)? 21 Let s = -1457/3 - -503. Find the common denominator of 47/4 and s. 12 Let y = -2/28219 - 3753103/338628. What is the common denominator of y and -179/120? 120 Let l(h) = -6*h. Let w(g) = 7*g. Let z(v) = 5*l(v) + 4*w(v). Calculate the smallest common multiple of (1/2)/1*4 and z(-4). 8 Let r = -3407/11 - -308. Calculate the common denominator of 47/34 and r. 374 Let c(l) = l**2 + 5*l - 5. Let h be c(-5). Find the common denominator of ((-47)/h + 0)*55/385 and -53/35. 35 Let s(a) = 3*a + 5. Let x(b) = -2*b - 4. Let c(v) = 3*s(v) + 4*x(v). Let k be c(6). What is the least common multiple of 18 and k/(140/72)*7? 18 Suppose -15*g + 1638 = 11*g. What is the smallest common multiple of g and 81? 567 Let z = 17998062 + -468029147/26. Let k = -3056 - z. What is the common denominator of 61/18 and k? 234 Let j = 8643869/108 + -80035. Calculate the common denominator of -89/108 and j. 108 Suppose 100 = 3*w + 2*w. Calculate the least common multiple of (-52)/(-6)*(4 + 5) and w. 780 Let i = 7649 + -12977. Let j = 42571/8 + i. What is the common denominator of j and -95/16? 16 What is the common denominator of 53/12 and 221/(-60) + 28/280? 12 Let t(v)
{ "pile_set_name": "DM Mathematics" }
common multiple of 13 and d(0). 117 Suppose 4*x = -x + f + 17, 2*x - 5*f - 16 = 0. Find the common denominator of x - ((-140)/(-64) - -4) and 89/12. 48 Let v(p) = 90*p + 10. Let y be v(5). Let j be (-2)/5 - y/(-25). What is the lowest common multiple of 1/3 - (-192)/j and 3? 33 Let j be (707560/(-1012))/5 + 3. Let r = 2446/23 - j. Let l = r - 2700/11. Find the common denominator of l and 6/13. 143 Let q = -8026 - -64113/8. What is the common denominator of -37/10 and q? 40 Let a(m) = m - 10. Let t be a(14). Suppose t*d + 66 = 7*d. Calculate the smallest common multiple of d and 26. 286 Let f(l) be the third derivative of -5*l**4/12 - 2*l**3/3 + 11*l**2. Calculate the smallest common multiple of f(-6) and 2. 56 Suppose 12*w - 1664 = -14*w. Calculate the least common multiple of 64 and w. 64 Let b = 41 + -41. Suppose b = -3*p - 16 + 70. What is the least common multiple of 22 and p? 198 Let j = -36822395/30842854 + -2/314723. Calculate the common denominator of -143/70 and j. 490 Let w = 4 + -1. What is the least common multiple of 2 and 17/1 + (w - 0)? 20 Calculate the lowest common multiple of 9 and ((-42)/7 - -5)*-243. 243 Let s(a) = -19*a**3 - a**2 - 2*a - 2. Let v be s(3). Find the common denominator of ((-12)/(-150))/((-8)/v) and ((-9)/(-12))/(-1 + 7). 40 Let d = 2504/3 - 845. Let h = 5/959 - -50777/9590. Find the common denominator of h and d. 30 Suppose c - 4*c + 36 = 0. What is the smallest common multiple of c and ((-1045)/4)/(-11) + (-10)/(-40)? 24 What is the common denominator of ((-2860)/(-96))/13 - -3 and 47/24? 24 Let h(l) = l**2 + 11*l - 1022. Let u(m) = m**3 - 4*m**2 - 8*m - 5. What is the smallest common multiple of u(6) and h(27)? 76 Let t = 2 - -1. Suppose 0 = -t*y + 104 + 52. Suppose -y + 10 = -3*r. What is the lowest common multiple of r and 14? 14 Suppose 1233 - 2997 = -21*r. Calculate the smallest common multiple of r and 28. 84 Suppose -5*b + 137 = 157. Find the common denominator of 2/1 + 309/(-60) and (-6)/20 - (b + 8). 20 Let b = 4663/9 + -510. Let s = -529/30 - 27/10. Calculate the common denominator of s and b. 9 What is the common denominator of (4/(-42))/(168/2124) and -7/4? 196 Suppose l - 1 = 4. Suppose u + 1 = 2. Suppose l*m - u = s + 3*m, -5*m - 11 = -4*s. Calculate the common denominator of 2/7 and s. 7 Let p be (-4)/(-2) + (-238)/60. Let x = 7/15 + p. Calculate the common denominator of -20 - -23 - (-3)/(27/105) and x. 6 Calculate the smallest common multiple of 24 and 3/(15/(-10)) + (-6 - -326). 1272 Suppose -9*b + 297 = -9. What is the least common multiple of b and 8? 136 Suppose -4*s + 6 = -6. Suppose 7*l - 4 = s*l. What is the smallest common multiple of l and 2? 2 Let d = 124627/10 + -12473. Let z be (-9)/54 - 2217/(-3312). Let v = z - 3/46. What is the common denominator of v and d? 80 Let w be (8/6)/((-6)/(-27)). Let c = -315 - -889/3. What is the common denominator of (-3)/w - 93/4 and c? 12 Let z be 13/(-154)*(-2807)/(-6). Let i = z - 1/132. Find the common denominator of i and ((-15)/(-42))/((-2)/10). 14 Let i(o) = -o**2 + 3*o + 12. Suppose 0 = 2*m - 9 + 3. Calculate the smallest common multiple of i(5) and m. 6 Let m(t) = -t**3 - 9*t**2 - 6*t - 6. Let b be m(-9). Suppose l - 3*l = -b. Suppose -c - 2*c + l = 0. What is the lowest common multiple of 20 and c? 40 Let y(q) = q**3 + 4*q**2 + 5*q + 4. Let h be y(-2). Suppose -4*a = 3*t + h*t - 29, -5*t + 2*a = -23. What is the lowest common multiple of t and 8? 40 Let s = 72 - 57. Calculate the smallest common multiple of s and 1 - (0 + 2 + -28). 135 Suppose -32*j - 8 = -r - 33*j, 0 = 5*j. What is the lowest common multiple of r and 338? 1352 Let c = -34493/726 - -4/363. Let s(g) = -22*g - 26. Let f be s(-11). Find the common denominator of ((-2)/(-4))/(64/f) and c. 16 Let h = -592335/52072 - -2/6509. Find the common denominator of 69/20 and h. 40 What is the least common multiple of 3/2*-14*(-60)/315 and 81? 324 Calculate the common denominator of -13/46 and (17/918)/(3/387). 414 Let w be 952/(-32) - 2/8. Let l = w - -31. Calculate the least common multiple of 10 and l. 10 Suppose -t - 2*q = -1, t + q - 4 + 2 = 0. Suppose -10 + 34 = 2*s - t*b, -4*s = -5*b - 44. What is the least common multiple of 34 and s? 102 Suppose 5*g + 150 = 35*g. Calculate the least common multiple of 235 and g. 235 Suppose 0 = 4*q - 5*q. Calculate the least common multiple of 3 and 1 + (-3 - -2)*q. 3 Let k be 1564010/(-1)*(-3741)/(-6). Let s = k + 4657365312791/4776. Let h = s - -2/597. What is the common denominator of -16/5 and h? 40 What is the smallest common multiple of 0 + (32 - 5 - -3) and 21? 210 Let p(a) be the first derivative of a**4/4 - 10*a**3/3 - 2*a**2 + 2*a - 2. Let b be p(9). Let m = 225/2 + b. Calculate the common denominator of 89/6 and m. 6 Let n = 32119936 - 62280562247/1939. Let b = -1634304/277 - -5900. Let l = n + b. Calculate the common denominator of 41/3 and l. 21 Let i(s) = -4*s - 14. Let x be i(-5). Calculate the common denominator of 1352/(-396) + x/(-27) and 32/11. 11 Let a be 84/(-35) - 2/(-5). Find the common denominator of 49/(-8)*a*1 and -27/8. 8 Let n(h) = -h**2 + 7*h - 6. Suppose 0 = 5*y + 2*l - 10, l - 9 = 4*y + 6*l. Let p = 30 - 18. What is the smallest common multiple of n(y) and p? 12 Let a be 1/1*40/(-20). Calculate the smallest common multiple of 3 and (-72)/(-8) - 8/a. 39 What is the lowest common multiple of (38/10 - 3)*135/6 and 339? 2034 Suppose 0 = -3*c + 2*s + 13, -2*c + 5*s + 42 = 15. Calculate the least common multiple of 43 and c. 43 Suppose 0*s + s - 2 = 0. Calculate the lowest common multiple of 30*(-360)/(-100) + 0 and s. 108 Find the common denominator of 63/10 and 11/22 + 4/((-160)/(-7)). 40 Let o = 630144757322957/8659118 - 2983668155/41. Let b = o - -1/8123. Calculate the common denominator of 17/16 and b. 208 Let g(t) = 56*t**3 + 2*t**2 - 1. Let s be g(-1). Let k = -34 - s. What is the smallest common multiple of 18 and k? 126 Let x = -14 + 44. Suppose 0 = -g + 21*b - 19*b + 8, 0 = g - b - 13. What is the smallest common multiple of x and g? 90 Let r = 310 + -255. What is the smallest common multiple of r and 33? 165 Suppose -d = -3*a + 12, -5*a + 3 + 22 = 0. Let q(k) = -2*k**2 + 80*k - 147. What is the least common multiple of d and q(38)? 15 Suppose 10*n - 13*n - 135 = -2*k, 2*k + 4*n = 128. What is the smallest common multiple of 114 and k? 1254 Let o = 7/579 - 12011/19686. Calculate the common denominator of o and 23/12. 204 Suppose -2*s + 3*s - 282 = 0. What is the smallest common multiple of s and 15? 1410 Let y = -11673 - -420109/36. What is the common denominator of y and (-4071)/590 + (-2)/(4/10)? 180 Let n be (-2)/(408/(-2725)) + (-24)/(-96). Let t = n + -15/34. What is the common denominator of -83/4 and t? 12 Suppose 5*u = 20, a + u - 20 = -3*a. Let h(x) = -x**2 + 6*x - 86. Let t be h(0). Let d = 97 + t. What is the smallest common multiple of a and d? 44 Suppose -4*v + 19 = -9. Let b(c) = 30*c**2 - 211*c + 9. Calculate the lowest common multiple of v and b(7). 14 Suppose -2 + 18 = 8*w. Calculate the common denominator of w*(2 - 303/72) and (-4)/10 - (-606)/(-160). 48 Let h(w) = -7*w - 222. Let k be h(-33). Let r(q) = q**2 + 6*q + 9. Let g be r(-6). What is the lowest common multiple of (-3)/g - (-111)/k and 18? 36 Let h be 8/6*6/4. Let l be h/(-18) + (-708)/(-54). What is the least common multiple of -1 + 16/4 + l and 12? 48 Suppose -4*o + 4*f = -317 + 121, -200 = -5*o - 4*f. Calculate the lowest common multiple of 80 and o. 880 Find the common denominator of -26/21 and ((-1936)/(-392))/((-48)/28). 42 Let u be (-388)/(-12)*211/(-2). Suppose -3*n = 8977 + 1229. Let w = n - u. Find the common denominator of w and -19/5. 30 What is the common denominator of 1 + 1 - (-500)/(-24) and -1 + (-52)/80 + 1/(-1)? 60 Suppose -30*u - 235 + 1885 = 0. What is the lowest common multiple of u and 4? 220 Let x = 30 + -50. Let z be 890/35 + (-2)/14*-4. Let d = x + z. Calculate the lowest common multiple of 5 and d. 30 Let o = -231 - -387. Suppose 21 - o = -5*l. Suppose 4*f = -4*u + 60, -2*f + 18 = -3*u - l. Calculate the smallest common multiple of 2 and f. 18 Let z be 616/(-12) + 2/6. Let g = -44 - z. What is the smallest common multiple of 13 and g? 91 Let p = -773 + 1037. Calculate the smallest common multiple of 3
{ "pile_set_name": "DM Mathematics" }
e prime factors of 16. 2 What are the prime factors of 1300? 2, 5, 13 List the prime factors of 3415. 5, 683 What are the prime factors of 24589? 67, 367 What are the prime factors of 72573? 3, 17, 1423 What are the prime factors of 16526? 2, 8263 What are the prime factors of 2981? 11, 271 List the prime factors of 17699. 11, 1609 What are the prime factors of 8827? 7, 13, 97 What are the prime factors of 328? 2, 41 List the prime factors of 330. 2, 3, 5, 11 List the prime factors of 23389. 19, 1231 What are the prime factors of 2080? 2, 5, 13 List the prime factors of 37699. 37699 List the prime factors of 419. 419 List the prime factors of 909. 3, 101 List the prime factors of 13983. 3, 59, 79 What are the prime factors of 8287? 8287 What are the prime factors of 166006? 2, 83003 What are the prime factors of 125509? 125509 What are the prime factors of 108267? 3, 151, 239 List the prime factors of 4998. 2, 3, 7, 17 What are the prime factors of 47126? 2, 23563 List the prime factors of 2572. 2, 643 List the prime factors of 3586. 2, 11, 163 What are the prime factors of 78? 2, 3, 13 What are the prime factors of 39661? 17, 2333 What are the prime factors of 64586? 2, 43, 751 List the prime factors of 1702. 2, 23, 37 What are the prime factors of 23548? 2, 7, 29 List the prime factors of 4863. 3, 1621 List the prime factors of 104006. 2, 7, 17, 19, 23 List the prime factors of 68274. 2, 3, 3793 What are the prime factors of 7402? 2, 3701 List the prime factors of 25846. 2, 12923 List the prime factors of 12781. 12781 What are the prime factors of 42503? 19, 2237 What are the prime factors of 37746? 2, 3, 233 What are the prime factors of 248? 2, 31 List the prime factors of 61786. 2, 30893 List the prime factors of 5698. 2, 7, 11, 37 List the prime factors of 12588. 2, 3, 1049 What are the prime factors of 38103? 3, 13, 977 What are the prime factors of 315? 3, 5, 7 What are the prime factors of 379? 379 List the prime factors of 3713. 47, 79 What are the prime factors of 2? 2 What are the prime factors of 97? 97 List the prime factors of 18365. 5, 3673 List the prime factors of 27096. 2, 3, 1129 List the prime factors of 1405. 5, 281 List the prime factors of 5472. 2, 3, 19 List the prime factors of 499. 499 What are the prime factors of 176? 2, 11 List the prime factors of 1946. 2, 7, 139 List the prime factors of 723. 3, 241 List the prime factors of 73324. 2, 23, 797 List the prime factors of 15539. 41, 379 What are the prime factors of 1203? 3, 401 What are the prime factors of 12028? 2, 31, 97 What are the prime factors of 1932? 2, 3, 7, 23 What are the prime factors of 414? 2, 3, 23 List the prime factors of 285. 3, 5, 19 List the prime factors of 12033. 3, 7, 191 What are the prime factors of 314? 2, 157 List the prime factors of 854. 2, 7, 61 What are the prime factors of 1509? 3, 503 What are the prime factors of 14622? 2, 3, 2437 List the prime factors of 3900. 2, 3, 5, 13 What are the prime factors of 15142? 2, 67, 113 List the prime factors of 3555. 3, 5, 79 What are the prime factors of 9056? 2, 283 What are the prime factors of 1020? 2, 3, 5, 17 What are the prime factors of 13796? 2, 3449 What are the prime factors of 11575? 5, 463 List the prime factors of 22851. 3, 2539 List the prime factors of 42817. 47, 911 List the prime factors of 35095. 5, 7019 List the prime factors of 2810. 2, 5, 281 List the prime factors of 689. 13, 53 List the prime factors of 168562. 2, 271, 311 What are the prime factors of 82? 2, 41 List the prime factors of 3274. 2, 1637 What are the prime factors of 1910? 2, 5, 191 What are the prime factors of 718? 2, 359 What are the prime factors of 124374? 2, 3, 19, 1091 What are the prime factors of 201? 3, 67 What are the prime factors of 463? 463 What are the prime factors of 1381? 1381 What are the prime factors of 6298? 2, 47, 67 List the prime factors of 85115. 5, 29, 587 List the prime factors of 637. 7, 13 What are the prime factors of 97264? 2, 6079 List the prime factors of 13103. 13103 What are the prime factors of 9574? 2, 4787 What are the prime factors of 5330? 2, 5, 13, 41 List the prime factors of 939. 3, 313 List the prime factors of 805. 5, 7, 23 What are the prime factors of 117? 3, 13 List the prime factors of 107698. 2, 53849 What are the prime factors of 994? 2, 7, 71 List the prime factors of 2564. 2, 641 What are the prime factors of 817? 19, 43 List the prime factors of 3082. 2, 23, 67 What are the prime factors of 354? 2, 3, 59 What are the prime factors of 10034? 2, 29, 173 What are the prime factors of 604? 2, 151 List the prime factors of 47303. 47303 What are the prime factors of 119? 7, 17 What are the prime factors of 2389? 2389 List the prime factors of 11459. 7, 1637 What are the prime factors of 14972? 2, 19, 197 What are the prime factors of 379? 379 What are the prime factors of 2499? 3, 7, 17 List the prime factors of 1194. 2, 3, 199 What are the prime factors of 197? 197 List the prime factors of 1548. 2, 3, 43 What are the prime factors of 14944? 2, 467 What are the prime factors of 4783? 4783 List the prime factors of 3089. 3089 List the prime factors of 318. 2, 3, 53 List the prime factors of 17738. 2, 7, 181 What are the prime factors of 178? 2, 89 List the prime factors of 959. 7, 137 What are the prime factors of 7965? 3, 5, 59 List the prime factors of 104. 2, 13 What are the prime factors of 623? 7, 89 What are the prime factors of 2440? 2, 5, 61 List the prime factors of 6952. 2, 11, 79 List the prime factors of 12177. 3, 11, 41 List the prime factors of 116786. 2, 58393 What are the prime factors of 13507? 13, 1039 List the prime factors of 35581. 7, 13, 17, 23 What are the prime factors of 14783? 14783 List the prime factors of 1243. 11, 113 What are the prime factors of 10791? 3, 11, 109 What are the prime factors of 18058? 2, 9029 List the prime factors of 1970. 2, 5, 197 List the prime factors of 1539. 3, 19 List the prime factors of 155. 5, 31 What are the prime factors of 761? 761 What are the prime factors of 14119? 7, 2017 List the prime factors of 378. 2, 3, 7 What are the prime factors of 945? 3, 5, 7 What are the prime factors of 8036? 2, 7, 41 What are the prime factors of 10826? 2, 5413 What are the prime factors of 18423? 3, 23, 89 What are the prime factors of 17650? 2, 5, 353 What are the prime factors of 356? 2, 89 What are the prime factors of 4286? 2, 2143 What are the prime factors of 95178? 2, 3, 29, 547 List the prime factors of 747. 3, 83 List the prime factors of 2717. 11, 13, 19 List the prime factors of 2103. 3, 701 What are the prime factors of 64270? 2, 5, 6427 List the prime factors of 25205. 5, 71 What are the prime factors of 10304? 2, 7, 23 List the prime factors of 1319. 1319 List the prime factors of 56790. 2, 3, 5, 631 What are the prime factors of 519? 3, 173 What are the prime factors of 6528? 2, 3, 17 List the prime factors of 8806. 2, 7, 17, 37 What are the prime factors of 59655? 3, 5, 41, 97 What are the prime factors of 2370? 2, 3, 5, 79 What are the prime factors of 902? 2, 11, 41 What are the prime factors of 2820? 2, 3, 5, 47 What are the prime factors of 2120? 2, 5, 53 List the prime factors of 4953. 3, 13, 127 What are the prime factors of 126? 2, 3, 7 What are the prime factors of 4525? 5, 181 What are the prime factors of 21082? 2, 83, 127 What are the prime factors of 83392? 2, 1303 What are the prime factors of 1010? 2, 5, 101 What are the prime factors of 4546? 2, 2273 What are the prime factors of 12207? 3, 13, 313 What are the prime factors of 9440? 2, 5, 59 List the prime factors of 101431. 11, 9221 What are the prime factors of 1903? 11, 173 What are the prime factors of 10191? 3, 43, 79 What are the prime factors of 692? 2, 173 What are the prime factors of 9544? 2, 1193 What are the prime factors of 904? 2, 113 List the prime factors of 240. 2, 3, 5 List the prime factors of 17164. 2, 7, 613 List the prime factors of 5679. 3, 631 What are the prime factors of 5359? 23, 233 What are the prime factors of 103441? 13, 73, 109 What are the prime factors of 88728? 2, 3, 3697 What are the prime factors of 33244? 2, 8311 What are the prime factors of 103289? 103289 List the prime factors of 8776. 2, 1
{ "pile_set_name": "DM Mathematics" }
19. Let g = d + 0.0497. Round g to three dps. 0.004 Let x = 0.41 + -49.41. Let k = x - -49.00000278. What is k rounded to seven dps? 0.0000028 Let d = 3.2 + 333.8. Let f = -7536162014 - -7536162350.9999837. Let n = f - d. What is n rounded to six dps? -0.000016 Let s = 76.69704588 + 3.30297952. Let g = s - 80. What is g rounded to 5 dps? 0.00003 Let y = -284 - -422. Let w = -516 - y. What is w rounded to the nearest ten? -650 Let k = -2561402 - -5081404. Suppose 2*z - w = -k, 3*z = 4*z + 5*w + 1259990. Round z to the nearest 100000. -1300000 Let v = 683411 - 683401.9000128. Let y = 9.1 - v. Round y to six dps. 0.000013 Let b = -163 + 97. Let p = -43 - b. Let c = p + -23.000042. What is c rounded to five decimal places? -0.00004 Let j = -0.08 - -0.079874. Round j to five decimal places. -0.00013 Suppose -483700 = 65*o - 58*o. What is o rounded to the nearest ten thousand? -70000 Let i = 2321.93 + -2333. Let k = -92 + 103. Let u = k + i. What is u rounded to two dps? -0.07 Let g = 4.123682 - 2.85807. Let u = 1.3157 - g. Let k = -0.05 + u. Round k to five dps. 0.00009 Let s = 0.584 + -0.004. Let n = s + -0.641. What is n rounded to two dps? -0.06 Let j = -1.381 + 1.0902. Let m = -2.4 + 2.7. Let o = m + j. Round o to three dps. 0.009 Let g = -22767.19222 - -22768. Let z = g + -0.816. What is z rounded to 3 decimal places? -0.008 Suppose 9 = -0*f - 3*f. Let o = -15 + -12. Let a be 18/o - 390002/f. Round a to the nearest one hundred thousand. 100000 Let u = -7323.7279816 + 7320.828. Let r = -10.3 - -7.4. Let q = u - r. What is q rounded to six dps? 0.000018 Let d = 7064.00008187 - 7064. What is d rounded to 6 decimal places? 0.000082 Let f be (-2)/6*(-8165 + -4). Suppose f + 217 = -r. What is r rounded to the nearest 1000? -3000 Let r = -77.78 - -68.9. What is r rounded to the nearest integer? -9 Let y = 1.27 - 60.27. Let w = 52.3583396 - -6.641655. Let c = y + w. What is c rounded to 6 decimal places? -0.000005 Suppose 2*h - 15 = -h. Suppose -1580146 + 587407 = -3*w. Suppose -h*a = 259087 + w. What is a rounded to the nearest 10000? -120000 Let v = 0.068 + 27.932. Let n = 16.5 - v. Let q = 11.5057 + n. What is q rounded to 3 decimal places? 0.006 Let l = 8.92 + 0.08. Let h = l - 1. Let n = -7.9 + h. Round n to the nearest integer. 0 Let o = -59.887 + 16.96. Let y = o + 43. What is y rounded to 2 dps? 0.07 Let n = -6054373.0199 - -6053910. Let x = 462.71989991 + n. Let i = x + 0.3. Round i to seven dps. -0.0000001 Let g = -3.4 + 3.456. Let l = g - -0.264. Round l to one dp. 0.3 Let l = 94 - 31. Let z = 160.39909 - 97.39942. Let y = z - l. What is y rounded to 4 dps? -0.0003 Suppose -14*c = -10*c - 16. Let h be ((-10)/c)/((-5)/(-50)). What is h rounded to the nearest ten? -30 Let n = -0.3632 - -300.9632. Round n to the nearest 10. 300 Let r = 4.93 - 4.7. Let z = 33.23 - r. Let k = 32.9948 - z. What is k rounded to three decimal places? -0.005 Let u = -19.21 + -8.71. Round u to the nearest ten. -30 Let p = 1417.5694 - 1418. Round p to one decimal place. -0.4 Let h = 321 - 320.98065. What is h rounded to 3 dps? 0.019 Let c = -1345 + 1206.9. Round c to the nearest ten. -140 Let t = 321.345 - 322. What is t rounded to two dps? -0.66 Let f = -1.073 - 24.407. Let a = f + 1.28. Let o = 14.3 + a. What is o rounded to the nearest integer? -10 Let m = -1.5134715 + 0.1433885. Let y = 1.37 + m. Round y to five decimal places. -0.00008 Suppose -240 - 2190 = -5*q. Let c = -276 + q. What is c rounded to the nearest one hundred? 200 Let f be 13/3 + 19/(-57). Suppose i + f*i = 75500. Round i to the nearest 1000. 15000 Let h be 28 + (24/4)/2. Suppose -h*f + 33*f = -1000000. What is f rounded to the nearest 100000? -500000 Suppose 26 - 1 = 5*y. Suppose 114594940 = 4*x - 39473408. Suppose -y*p - 17087 = -x. Round p to the nearest 1000000. 8000000 Let y = 9.3 + 73.7. Let c = -87.9 + y. Round c to the nearest integer. -5 Let q = 1.89 - 1.890376. What is q rounded to 4 decimal places? -0.0004 Let b = -6.02 + -0.77. Let o = -6.789999426 - b. Round o to seven decimal places. 0.0000006 Let m = 74.0017312288 + -0.0017281288. Let q = 74 - m. Round q to six dps. -0.000003 Let j = 8503136.00023 + -8503181. Let w = 45 + j. Round w to 5 dps. 0.00023 Let a(w) = -12*w**2 + 6*w + 80. Let h be a(-7). Round h to the nearest 1000. -1000 Let k = 0.022 - -22.978. Let s = -23.00224 + k. What is s rounded to four dps? -0.0022 Let c = -15.34 + 15.5288. Round c to two dps. 0.19 Let n = -1.81 - 27.05. Let j = n + 30. What is j rounded to one dp? 1.1 Suppose -2 = q - 4*y + 3*y, -28 = 5*q + 4*y. Let h be (-335988)/48 - (-1)/q. Round h to the nearest ten thousand. -10000 Let b = 10958.42557 + -1.38157. Let h = b + -10935. Let j = h + -22. What is j rounded to 2 dps? 0.04 Let s = -22 - -37. Let r = s + -14.88. Let n = 0.1200002 - r. Round n to 6 dps. 0 Let x = 10.85072 - -33.09418. Let y = -10.0383 - x. Let z = 54 + y. Round z to three dps. 0.017 Let y = -28.384 - -22.4. Round y to zero decimal places. -6 Let d = -129.000495 + 129. Round d to five dps. -0.0005 Let k = 985 - 984.8512. Round k to 2 decimal places. 0.15 Let h = 6.916 - 7. Let v = h + 0.083796. What is v rounded to 5 decimal places? -0.0002 Let i = -1958.09841 - -1958.2. Let h = -2.282 + 2.18. Let n = i + h. Round n to four decimal places. -0.0004 Suppose 2*r - 140000000 = -3*r. Suppose -4*t - 4*h - 4011500 = 18388500, 0 = 5*t - 2*h + r. What is t rounded to the nearest 1000000? -6000000 Let c = 0.84 - -38.16. Let m = -17 + c. Let y = -22.0076 + m. What is y rounded to 3 dps? -0.008 Let d = 75.1 + -72. Let k = d + -3.077. What is k rounded to 2 decimal places? 0.02 Let n be 3 - -21 - 2 - 1. Let r = n - -29. Suppose 3*l - r = -2*l. Round l to the nearest one hundred. 0 Let s = 67.4 - 67.3234. Let f = s + -0.0765621. What is f rounded to 6 dps? 0.000038 Let v = -2378 - -2442.66. Let t = v + -66. Round t to one dp. -1.3 Let i = -805.7169 - -1.7669. Let h = 829 + i. Let g = h - 26. Round g to 1 dp. -1 Let x = -3.43 + 3.1. Let m = -0.47 + x. Let y = -0.7999994 - m. What is y rounded to six dps? 0.000001 Suppose -158159 = 22*s - 875359. What is s rounded to the nearest ten thousand? 30000 Let g = -1498 + 1497.99998013. Round g to five decimal places. -0.00002 Let j = 8 + -8.1207. Round j to two decimal places. -0.12 Let s = -8970428 + 62070428. Round s to the nearest 1000000. 53000000 Let v = 0.2278667 + 559.6924533. Let n = v - 560. Let f = n - -0.081. What is f rounded to four decimal places? 0.0013 Let g = -204.143742 + 182.1437417. Let b = -22 - g. Round b to six decimal places. 0 Let u = 0.05 + 8.95. Let b = u + -8.965. Let j = b - -0.011. Round j to 2 decimal places. 0.05 Let x = 420 - 420.001284. What is x rounded to four decimal places? -0.0013 Let z = 1226.14462 - 1215.1446146. Let q = z + -11. Round q to 6 decimal places. 0.000005 Let i = 0.041 - -20.959. Let l = i - 21.00000004. What is l rounded to 7 decimal places? 0 Let n = -0.86 + -50.14. Let w = -50.999988 - n. What is w rounded to five decimal places? 0.00001 Suppose -b + 18769 = -o + 5*o, -2*o - 3*b + 9387 = 0. What is o rounded to the nearest 1000? 5000 Let y = 44 - 66. Let d = y + 21.99886. Round d to 4 dps. -0.0011 Let g = 0.08 - 0.02. Let k = -0.01 + g. Let l = k - 0.0552. Round l to three decimal places. -0.005 Let u = 0.03 - 0.11. Let o = u - -9.08. Let w = -6.2 + o. Round w to 0 decimal places. 3 Let c = -99.076193 + 132.0761945. Let j = -880 + 913. Let o = j - c. What is o rounded to 7 dps? -0.0000015 Let y(a) be the third derivative of 0 + 0*a + 10*a**2 + 7/6*a**3 - 1/12*a**4. Let z be y(8). Round z to the nearest 10. -10 Let i = -63.3 - -58. Let r = 4.25 + i. Round r to 1 decimal place. -1.1 Let j = 365 + -364.99999343. Round j to 6 dps. 0.000007 Let m = 534 - 534.2808. Round m to two decimal places. -0.28 Let p = 42.2901058 + -13.290112. Let z = 29 - p. What is z rounded to six decimal places? 0.000006 Let m = 3637 + -3637.1601. What is m rounded to two decimal places? -0.16 Let o = -1454.7 + 1453.99016. Let s = o - -0.71. What is s rounded to four dps? 0.0002 Let l = 901.6095 - 847.6. Let n = 54 - l. Round n to 3 decimal places. -0.01 Let o = 2192.7 - 2439. Let h = -225 - o. Round h to zero dps. 21 Let b = 14272.5 - 14373.617. Let q = b + 101. Let p = q + -
{ "pile_set_name": "DM Mathematics" }
on multiple of 86390 and 4890. 259170 Calculate the common denominator of 55/14 and 10/76307. 152614 What is the common denominator of -85/94608 and -75/184? 2175984 Calculate the least common multiple of 46224 and 128. 369792 What is the least common multiple of 10854 and 3618? 10854 Find the common denominator of -79/444 and -37/3990. 295260 What is the common denominator of 29/17175 and -8/47? 807225 What is the smallest common multiple of 18400 and 150? 55200 What is the smallest common multiple of 62991 and 9? 62991 Calculate the common denominator of -85/826 and -95/52038. 52038 Find the common denominator of -89/258 and 3/343484. 1030452 Calculate the smallest common multiple of 530 and 450. 23850 Calculate the lowest common multiple of 10032 and 2016. 421344 What is the common denominator of -31/102201 and -13/5016? 817608 What is the least common multiple of 17461 and 57? 52383 What is the smallest common multiple of 493944 and 22? 493944 Calculate the least common multiple of 45 and 3657. 54855 Find the common denominator of -25/42624 and -77/1664. 554112 What is the least common multiple of 116 and 121800? 121800 Calculate the common denominator of 103/10 and 65/202302. 1011510 Find the common denominator of -67/1860 and 91/744. 3720 What is the common denominator of -67/20458 and 139/1158? 61374 Find the common denominator of -79/196 and -79/184. 9016 Calculate the common denominator of -43/140160 and 61/203232. 4064640 What is the lowest common multiple of 210758 and 24? 2529096 What is the lowest common multiple of 2620 and 142135? 568540 What is the common denominator of -19/48 and -59/31596? 126384 Calculate the smallest common multiple of 970 and 1700. 164900 Calculate the smallest common multiple of 419500 and 41950. 419500 Calculate the least common multiple of 30465 and 15. 30465 What is the least common multiple of 26650 and 5863? 293150 Calculate the common denominator of -58/189 and -86/3045. 27405 Calculate the least common multiple of 12132 and 8. 24264 What is the common denominator of 67/616 and 151/1484868? 2969736 Calculate the common denominator of -139/36 and -13/276. 828 What is the smallest common multiple of 4375 and 242500? 1697500 What is the common denominator of -123/20 and 15/19882? 198820 Calculate the least common multiple of 8860 and 45. 79740 Calculate the least common multiple of 602569 and 22. 1205138 Calculate the least common multiple of 407440 and 122232. 1222320 What is the common denominator of 5/98412 and -22/1041527? 12498324 Calculate the lowest common multiple of 4850 and 180. 87300 Find the common denominator of -28/1023 and 3/6386. 210738 Find the common denominator of 52/214915 and -23/25. 1074575 What is the lowest common multiple of 125010 and 41670? 125010 What is the common denominator of 89/16 and -37/8102? 64816 Calculate the lowest common multiple of 536136 and 9. 1608408 Find the common denominator of 17/549 and 23/315. 19215 What is the smallest common multiple of 56274 and 951? 17838858 What is the smallest common multiple of 7284 and 24? 14568 What is the least common multiple of 760 and 178410? 713640 Calculate the smallest common multiple of 10392 and 32. 41568 Calculate the common denominator of -131/126 and -113/14148. 99036 Calculate the common denominator of -35/27 and -95/5922. 17766 Calculate the lowest common multiple of 5 and 5535844. 27679220 What is the smallest common multiple of 5670 and 10458? 470610 Calculate the common denominator of 85/2016 and 119/120. 10080 What is the smallest common multiple of 3562 and 50? 89050 Calculate the common denominator of 43/2 and -25/84999. 169998 Calculate the common denominator of 7/568 and -73/16. 1136 Calculate the common denominator of -41/104 and 99/113264. 1472432 Calculate the smallest common multiple of 63 and 28595. 257355 Calculate the lowest common multiple of 5329 and 2. 10658 What is the least common multiple of 855 and 4681? 4002255 Calculate the smallest common multiple of 264 and 30360. 30360 What is the least common multiple of 952 and 7560? 128520 Calculate the common denominator of -81/3224 and -31/736. 296608 What is the common denominator of 24/33875 and 13/4065? 101625 Find the common denominator of 54/49 and 106/9975. 69825 Calculate the common denominator of 27/324638 and -109/410. 1623190 What is the least common multiple of 2647308 and 12? 2647308 What is the lowest common multiple of 3 and 202181? 606543 What is the common denominator of -24/15379 and 37/98? 215306 What is the least common multiple of 90276 and 136? 3069384 Calculate the common denominator of -19/14004 and 133/78. 182052 Find the common denominator of 47/372 and 11/342. 21204 Calculate the smallest common multiple of 301 and 56. 2408 Calculate the common denominator of 107/119720 and 73/320. 957760 What is the least common multiple of 8540 and 176? 375760 Calculate the least common multiple of 210818 and 316227. 632454 What is the common denominator of 56/15 and -89/22010? 66030 What is the common denominator of 33/69664 and 17/4? 69664 Calculate the lowest common multiple of 9 and 81324. 81324 What is the common denominator of 47/55165 and -92/75225? 827475 What is the common denominator of -117/3040 and -17/153824? 769120 What is the common denominator of 29/139587 and 9/6647? 139587 Calculate the common denominator of 77/152 and 13/114. 456 What is the least common multiple of 1256 and 15072? 15072 What is the lowest common multiple of 263556 and 58568? 527112 What is the lowest common multiple of 218010 and 156? 436020 What is the common denominator of -1/2 and -52/52655? 105310 What is the lowest common multiple of 293 and 1079? 316147 What is the least common multiple of 223449 and 3177? 670347 Find the common denominator of -34/8685 and -4/568385. 5115465 Calculate the smallest common multiple of 232492 and 789. 697476 What is the common denominator of 139/61980 and 91/75? 309900 Calculate the lowest common multiple of 864776 and 3224. 11242088 Calculate the least common multiple of 9 and 2505. 7515 What is the common denominator of 151/2088480 and -31/219840? 4176960 Calculate the least common multiple of 15 and 638907. 3194535 Calculate the smallest common multiple of 45 and 8393. 377685 What is the common denominator of -93/1184 and -131/48? 3552 Calculate the smallest common multiple of 61753 and 111. 185259 Calculate the common denominator of -65/666 and 107/19240. 173160 Find the common denominator of -19/10 and -50/7579. 75790 Find the common denominator of 53/7301 and 61/16688. 116816 Calculate the smallest common multiple of 12 and 996. 996 What is the lowest common multiple of 35349 and 106047? 106047 What is the lowest common multiple of 95031 and 279? 2945961 What is the lowest common multiple of 106688 and 133360? 533440 Calculate the lowest common multiple of 291208 and 2184060. 4368120 Calculate the common denominator of -1/231744 and -49/16. 231744 What is the least common multiple of 23138 and 1058? 532174 Find the common denominator of 17/14150 and 143/25470. 127350 Find the common denominator of 103/8040 and 181/4020. 8040 What is the common denominator of -111/1408 and -61/4480? 49280 Find the common denominator of 91/984 and -73/1568. 192864 What is the smallest common multiple of 9786 and 154? 107646 What is the lowest common multiple of 1008 and 8484? 101808 Calculate the least common multiple of 29808 and 48. 29808 Calculate the common denominator of 29/4 and -143/36. 36 What is the least common multiple of 5841 and 20119? 181071 What is the least common multiple of 120 and 972? 9720 Find the common denominator of 26/5691 and -89/2168. 45528 What is the common denominator of 41/39096 and -119/90? 195480 Calculate the common denominator of -56/1745 and -47/349. 1745 What is the least common multiple of 302368 and 220? 1511840 Calculate the common denominator of -9/62480 and -26/803. 4561040 What is the common denominator of -1/146090 and 71/25044? 876540 What is the common denominator of -7/528 and -149/1188? 4752 Calculate the smallest common multiple of 20568 and 96. 82272 What is the lowest common multiple of 97905 and 84? 2741340 Calculate the common denominator of -39/16 and -1/12410. 99280 Cal
{ "pile_set_name": "DM Mathematics" }
6 less than -7.45? 1254788.55 Put together 881 and 5522557. 5523438 Put together -4953344 and 3. -4953341 What is 28689048 minus -0.4? 28689048.4 12.2734602 + -5 7.2734602 What is -540.1265 + -0.0508? -540.1773 What is -11.6 plus -135.3857? -146.9857 What is -20196451 - 0? -20196451 Add -585957 and 4737. -581220 -0.346924093 + 0.1 -0.246924093 Subtract -12 from -59583. -59571 Subtract 2489555 from 174.5. -2489380.5 Total of -1.06 and -3339.72. -3340.78 What is the difference between -52991921 and -4? 52991917 What is -37.11588 plus 0.5? -36.61588 148 - 7.1864 140.8136 Add together 110830 and 25.8386. 110855.8386 Calculate 217.8467981 + 4. 221.8467981 Add -57391889 and 0.066. -57391888.934 What is the distance between -7.9 and -0.633621837? 7.266378163 Calculate 84.7 + 240712. 240796.7 What is -3494.1 less than 308? 3802.1 What is -459197514 minus -0.3? -459197513.7 Work out -5314807.297 - 0.1. -5314807.397 What is the difference between 52158 and 0.4078? 52157.5922 59131128 + -0.6 59131127.4 What is -10.821181 + -3? -13.821181 Put together -438 and 2876.97. 2438.97 Work out -11122 - 17.6. -11139.6 What is -121.2271 minus 661.6? -782.8271 What is 2 - 48043619? -48043617 Work out -54659820988 + 2. -54659820986 0.4+-0.1967522 0.2032478 What is 22 minus 1341.0877? -1319.0877 Sum 118685 and 146.1. 118831.1 Calculate 212.43 + 1344.7. 1557.13 What is the difference between 0.2 and 11021811501? 11021811500.8 What is 1851.92 less than 32? -1819.92 Calculate 0.038873351 + -356. -355.961126649 -307.79 - 1.331 -309.121 Total of 1.054 and -3738304. -3738302.946 -0.02722665339+1 0.97277334661 Add -15 and 3009.3779. 2994.3779 What is the distance between 4584 and -125? 4709 What is 5.0276 less than -10.6897? -15.7173 What is -314.484 plus -591? -905.484 What is 140403355 minus 18.1? 140403336.9 Sum 0.091316 and -183. -182.908684 What is -60.931416 plus 67? 6.068584 What is 2.244 minus 70379? -70376.756 Work out -0.772 - 24450.544. -24451.316 What is 238976 + 219? 239195 Total of 9 and 0.597761574. 9.597761574 Work out -22 + 343451626. 343451604 Work out 186564 + 1182. 187746 What is -3.1 + 133204.76? 133201.66 What is 12 less than 98601784? 98601772 What is the distance between 3.1 and -11.1715005? 14.2715005 What is the difference between 1747779 and 0.09243? 1747778.90757 1850.752 - 0.942 1849.81 Calculate -2494533741 - -2. -2494533739 Subtract 164.422221 from -0.5. -164.922221 What is 0.4599 plus -26540353? -26540352.5401 Work out -188690 + -0.1754. -188690.1754 What is 1.1 take away 58129544? -58129542.9 Sum 0.087 and 1.94788928. 2.03488928 What is -949.15 - 0.10429? -949.25429 Put together -0.1 and -4480480.57. -4480480.67 Calculate -13 - 68450708. -68450721 12255475+1.78 12255476.78 Work out -2.255481 - -20.1. 17.844519 Calculate 9 + -377062.043. -377053.043 What is -5 plus 3.580322? -1.419678 Put together -254207 and 15. -254192 What is 0 minus 9643125? -9643125 What is 9.49 plus 0.0282261? 9.5182261 What is 3806 take away 0.00013? 3805.99987 Work out -152.3901906 + -0.6. -152.9901906 What is -6.17763 minus -0.1? -6.07763 What is 0.059 less than -12293? -12293.059 What is -0.08 plus 30851.94? 30851.86 -85650922 + 0.01 -85650921.99 What is -79333 + 0.055? -79332.945 Total of -383.292 and 28963. 28579.708 What is -185066997 less than -0.25? 185066996.75 What is 208 plus -63077528? -63077320 Subtract 11377 from -5.205. -11382.205 Subtract 1328420406 from 3. -1328420403 Add -433.07 and -25. -458.07 Put together 10733679 and 6. 10733685 What is 114279910 minus 0.1? 114279909.9 What is -2 less than 141306815? 141306817 What is the difference between -3.065 and -0.07559? 2.98941 Total of 0 and 2079884. 2079884 What is the difference between -23 and 51728013? 51728036 Work out 366 + 3342.41. 3708.41 -9997.804595 - 2 -9999.804595 Put together -0.021898 and 851. 850.978102 Add together 0.139 and -9426937.7. -9426937.561 What is the distance between 0.6 and -47.61467? 48.21467 What is 786 plus 176736? 177522 What is the difference between -18933063 and -0.04? 18933062.96 Total of 2.4118 and -1295808. -1295805.5882 Work out -41056936722 + 2. -41056936720 0.6 + 6082155.7 6082156.3 What is 8697.835 minus -0.2? 8698.035 What is the distance between -6 and -545325.744? 545319.744 Calculate 0.338128 + -3. -2.661872 What is -0.35 less than -18238150? -18238149.65 Put together -20694814 and -6. -20694820 -803.421907 + 5 -798.421907 Add together -0.06 and -8410616. -8410616.06 Add together -0.04791 and -6703. -6703.04791 439+58916 59355 What is the difference between 0.04623526 and -0.2? 0.24623526 What is -0.1 take away 75686.45? -75686.55 What is the difference between 35759 and 36.3? 35722.7 Calculate -50707.6 + -6.1969. -50713.7969 Calculate 4.2 + 3.148976. 7.348976 Add together -0.069508488 and -0.1. -0.169508488 Calculate -487377 - 0.636. -487377.636 Add 7 and 6118445. 6118452 Calculate -7452.369427 - 0.5. -7452.869427 What is -798785375 less than -3? 798785372 Put together -132098 and -0.43. -132098.43 What is 1069 take away 5.7113011? 1063.2886989 Calculate 177851.326 + -0.2. 177851.126 What is 173 less than 4355.1? 4182.1 What is -142019784 minus 0.1? -142019784.1 What is 2818815792 + -4? 2818815788 Calculate -197204 - -0.3389. -197203.6611 What is -8.5 - 3480.72? -3489.22 Put together -10275 and -186.9. -10461.9 What is -0.5933 plus -1847998? -1847998.5933 Work out -3487556 - 29. -3487585 Calculate -3422422897 + -0.2. -3422422897.2 Put together -115630175 and -4. -115630179 14907.684 + -5 14902.684 What is the difference between 583 and 77599? 77016 Work out -1157 - 3851.69. -5008.69 What is -3 - -253940830? 253940827 -855.94876 - -53 -802.94876 Work out 0.3 - -1872003617. 1872003617.3 Sum 4292.868 and -487.1. 3805.768 What is the difference between -28.86995 and 97.47? 126.33995 What is -5 take away 0.025909? -5.025909 -0.1 + -0.26067649 -0.36067649 Total of 248 and 319355921. 319356169 Total of -6037745901 and -3. -6037745904 Work out -54036.5 - 17581. -71617.5 What is the difference between 0.0016387 and -26186? 26186.0016387 What is -124358 plus -177? -124535 0.57+-198.037903 -197.467903 Calculate 7 - 566.5083. -559.5083 Subtract -4.28 from 6040533. 6040537.28 Calculate -792 - -490099. 489307 18+-0.05812583 17.94187417 What is 0.32771633 less than 0.1? -0.22771633 -186 + -112978 -113164 What is -2 take away -1.55091708? -0.44908292 Total of 12.07 and -646484. -646471.93 What is 36356.2 - 0.172? 36356.028 What is 15584689 take away -3? 15584692 Total of -0.4 and -36281383964. -36281383964.4 Subtract 0.955 from -10.3989. -11.3539 What is 13381052 less than -1.26? -13381053.26 Add 521 and 0.07287192. 521.07287192 What is -2 less than -2182.380045? -2180.380045 What is -34930766.1 minus -7? -34930759.1 Add together -0.0521939 and -0.08. -0.1321939 Calculate 43.6 - -3496318. 3496361.6 What is the difference between 0.18 and -6832.862? 6833.042 Subtract 0.273 from -39652.529. -39652.802 What is -84.086 + 4926? 4841.914 Work out 2 - 481896896. -481896894 Put together 0.071 and -0.335875. -0.264875 Put together 2729007 and -3. 2729004 Calculate 2656.6 + -0.04. 2656.56 Subtract -1 from 0.129631925. 1.129631925 Total of -332138194 and -0.269. -332138194.269 What is the distance between 0.3 and -364.9847878? 365.2847878 -6+-1657418.126 -1657424.126 Sum 0 and -32122.809906. -32122.809906 What is -0.045 less than 355487.5? 355487.545 Work out -11700 - -86297. 74597 Calculate -1988 + -1493648. -1495636 Calculate 26 - 7475681. -7475655 What is 23180459 take away -14? 23180473 What is 53734 take away -47796? 101530 Add together -0.057 and 48898170. 48898169.943 Add -0.6 and -218930596. -218930596.6 Put together 7 and 41984001. 41984008 -2819303 + -0.4 -2819303.4 Work out 1.156 - 171452. -171450.844 What is 4 plus 4872.516? 4876.516 Sum -3 and 13.19141. 10.19141 Calculate -31 - 284.0172. -315.0172 Total of 3 and -12.817318. -9.817318 What is -5 + 4364283? 4364278 What is -2394 - 0.14354? -2394.14354 1.81+36.058653 37.868653 Work out -6605139 - 24. -6605163 What is 291.86 take away 0.13245? 291.72755 Add 7.3325 and 186. 193.3325 Calculate -914 - -91.408. -822.592 What is the distance between -24586451 and 10? 24586461 Calculate -21237 + -613098. -634335 What is 6 - 35.8
{ "pile_set_name": "DM Mathematics" }
= 56*q - 116*q + 48*q. Solve x - q = -3*v, -18 = 5*x + 2*v - 43 for x. 5 Let l = 18588 + -18578. Solve 15*k - l*k = 2*x + 17, -3*k = 5*x - 35 for x. 4 Let z(c) = -c**3 - 127*c**2 + 27*c + 3431. Let q be z(-127). Solve -2*a - q*r + 6 = 0, -3*r - 19 = -0*a - 4*a for a. 4 Let q(r) = -23*r - 190. Let u be q(-9). Suppose 41*o - 181 = -u. Solve o*g - 3*p + 12 = 0, 3*p - 12 = -0*g + 2*g for g. 0 Let v(q) = 56*q**3 + q**2 - 6*q - 6. Let c be v(-1). Suppose -t - 3*x + 61 = -0*x, 2 = -2*x. Let w = c + t. Solve 4 = -3*z + 4*z, -b - w = -2*z for b. -1 Let l(y) = 56*y + 63. Let s be l(-5). Let c = -214 - s. Solve -9 = 2*m - c*m + 5*d, 2*d = -4 for m. -1 Suppose 402 - 206 = 157*i - 275. Let g = -19 - -24. Solve 0 = -5*t - 0*t - 25, -i*m - 25 = g*t for m. 0 Suppose o - 28 = 259. Let c = 292 - o. Solve -5*a - l + c = 4*l, 0 = 2*a - 4*l - 2 for a. 1 Let s = 1696 - 1694. Solve -m + s*i + 7 = 0, -3*m - 8*i + 11 = -4*i for m. 5 Suppose 61*l - 56*l = -430. Let v = l - -89. Suppose -7*y = -38 + v. Solve 0*r + r + 2*p = 3, -r + 3 = -y*p for r. 3 Suppose -41*g + 22*g + 95 = 0. Suppose 4*w - 48 = -4*u - 0, 2*w + 3 = u. Suppose 0*c = -3*c + u. Solve 3*s - 21 = 6*s + g*f, 3*f = 3*s - c for s. -2 Let o(t) be the second derivative of -2*t + 11/6*t**3 + 0 - 3*t**2 + 1/20*t**5 + 13/12*t**4. Let i be o(-12). Solve p - 5*q = -6, -2*q + i = -3*p + q for p. -1 Let c(d) = d**2 + 3*d + 4. Let f(o) = -22*o - 111. Let p be f(-5). Let t be c(p). Solve 0 = 4*w + 12, -8 + t = -4*h - 2*w for h. 3 Let c be ((-1)/(-5))/(12/180). Suppose -l = 0, -38*o - c*l = -34*o - 40. Solve -5*j - 5*m = -2*m - 7, 0 = -3*j + 4*m + o for j. 2 Suppose 4 = -2*q + 2*x - x, 3*q = 5*x - 20. Let o = q - 0. Suppose -5 = -8*n + 19. Solve -5*v - 2*g = -21, n*v + 0*v + 5*g - 24 = o for v. 3 Let z be 3*11/(165/(-10)). Let r be (-1 - z) + (-45)/(-3). Solve -5*o - r - 4 = -s, -2*s + 1 = 3*o for o. -3 Suppose -196 + 11 = -5*u. Suppose u = 15*d - 278. Solve v = -4*p + d, 0 = -p + 2*v + 5 - 2 for p. 5 Let h = 32734 + -32520. Solve 210*u + w - 18 = h*u, -5*u = -w + 23 for u. -5 Let b(r) = r**3 - 17*r**2 + 18*r - 28. Let m be b(16). Suppose 4*p = p. Solve 5*o - 36 = -m*s, 3*s - 7*s + 5*o - 4 = p for s. 4 Let b = -302 - -256. Let k(i) = -4*i - 7. Let q be k(6). Let p = q - b. Solve -3*g + p - 3 = -3*h, -5*h - 4 = -g for h. 0 Suppose 3068 - 824 = 132*o. Solve 19*j - o = 16*j + 4*w, -14 = -j + 3*w for j. -1 Let z = -8245 - -8250. Solve 66*a - 18 = 70*a - 2*n, z*n - 17 = -4*a for a. -2 Suppose 3*l - 3 = 9. Let y = -28421 - -28449. Solve -11 = -o + 5*i, o - 5*o - l*i - y = 0 for o. -4 Let i(o) be the third derivative of -o**4/12 - 5*o**3/6 + 522*o**2. Let y = 4 + -9. Let h be i(y). Solve -4*n + 6 = -t, -n + h*n - 12 = -2*t for t. 2 Suppose -1250*d + 2503*d + 5 = 1254*d. Solve c + 3*x + d = 0, -c - 11 = -6*c + 3*x for c. 1 Suppose 15 = i - 5*g, 5*i - 12 + 37 = 5*g. Let k be (i + -2)*(-4)/3. Solve -2*f = -4*o + 4, 8*o - k = 5*f + 4*o for f. -4 Suppose 5*c = 5*i + 30, -3*c - 3 = 4*i - 21. Suppose -c*b + 15 = -9. Let a = 7 + b. Solve -3*x - 16 = -0*k + 4*k, 4*x - 5*k = -a for x. -4 Suppose -4 = -8*i + 7*i. Suppose 5*n - 21 = i. Suppose 4*c - 28 = -5*r, n*c - 11 = -2*r + 7. Solve -4*l = -4*s, 2*s - r*l - 3 = -l for s. -3 Let i = 391 + -277. Suppose 0*c - i = -38*c. Solve -3*s + 22 = 3*h + 2*s, -c*s = -6 for h. 4 Let d = -14 - -17. Suppose u - 3*b - 11 = -d, -5*b + 60 = 2*u. Let h(x) = -3*x - 3. Let n be h(-6). Solve -6*g - 4*z + u = -g, -3*g + n = 3*z for g. 0 Suppose 8*p + 5*h = 12*p - 690, 3*p - 3*h = 519. Let m = p + -175. Solve -g + v = 0, -4 + m = -3*g + v for g. 2 Let q = -356 - -356. Solve d + 3*x + 7 + 4 = 0, q = -d - 4*x - 15 for d. 1 Suppose 417*m + 650 = 267*m + 215*m. Suppose 4 = -0*v + v. Solve 4*i - m = -i, 2*w = v*i for w. 4 Suppose -d = -4 + 1. Suppose -16 = -m - d*m. Suppose 16*i = i + 45. Solve -b - 4*b - m*c = 13, 2*b - i*c + 19 = 0 for b. -5 Let b be 4/6 - (-7 + (-212)/6). Suppose 5*a - b + 33 = 0. Let h be 4/10 - (-226)/10. Solve -2*t = a*v - 12, -5*t = -3*v + v - h for t. 5 Let k(b) = 43*b**2 + 6*b - 4. Let l be k(-3). Let a = l - 362. Solve -5*z + a = -4*p, 5*p - 11 = 4 for z. 3 Let d(v) = v**2 - 95*v - 709. Let i be d(-7). Solve 0*u = u - 5*n + 2, -i*u + 10 = -5*n for u. 3 Suppose 1 = -2*u + p, -2*p = 4*u - 0*p - 18. Let r(w) = 6*w**3 + 99*w**2 + 44*w - 53. Let y be r(-16). Solve u*v - j - 2 - 2 = 0, -5*v + 3*j + y = 0 for v. 1 Suppose 14*n = 15 + 41. Solve 2*r + 14 = 5*o, 3*r = n*o - 17 + 3 for r. -2 Let o(h) = h**3 - 2*h**2 + h. Let z be 0*5*5/50. Let x be o(z). Let g be (-5)/(-5)*(1 + x). Solve -4*m = -2*k - 24, -m + 5*k + g = -14 for m. 5 Let x(u) = -126*u + 1516. Let o be x(12). Solve -69 + 50 = 2*t + 5*c, -4*t = o*c + 8 for t. 3 Suppose -4*j = -u - 12, -9 = -2*u + 5*u - 3*j. Suppose u = -14*k + 6*k + 80. Solve -x + 2*n = 3*x - 4, 5*x + 5*n + k = 0 for x. 0 Let m(f) = f**3 + f - 14. Suppose 0 = -5*k - 3*k. Let y be m(k). Let g = y + 19. Solve 0 = g*o + 2*v - 12, -3*o + 5*v + 13 = -19 for o. 4 Let f = -362 - -362. Suppose 4*p - 6 = -5*o, -2*o = 2*p - p. Let i be -5 + 5 - (o + -3). Solve i*a + f*b - 17 = b, -4*a + 22 = 2*b for a. 4 Suppose 90*v - 665 = 685. Solve -5*j = 2*n - v - 13, -j = 5*n - 24 for j. 4 Suppose 10 + 335 = 165*q - 50*q. Solve 0 = q*v - 2*x - 5, 0 = 5*v - 2*x - x - 10 for v. 5 Let z(m) = m**2 + 9*m - 106. Let p be z(13). Suppose -25*d + 10*d = -p. Solve r = -2*r - d, -3*b - 7 = -2*r for b. -5 Suppose 3 = 23*c - 20*c. Let j be (-4 + 1)/(c*(9 - 10)). Solve 3*l - 2*g = 4, 0*l + j*l = -5*g + 11 for l. 2 Suppose -38 = -b - 14. Suppose -3*h - 11 = -5*l, -4*h - 5*l + 8 = -b. Let o = 9 - 3. Solve 0*m - 2*m = -o, -4*m + 24 = -h*g for g. -4 Let y be (-1185)/(-25) - 6/15. Let i be 16/(-72) - y/(-9). Suppose o - i = 15. Solve 5*c + b - 18 = 0, -5*c + c + 2*b + o = 0 for c. 4 Let l be ((-3)/(-1))/6 - (-70)/4. Let h(q) = -4*q - 5 + 2*q - q + 16*q**3 - l*q**3. Let s be h(-2). Solve 17 = -2*v + 5*z - 8, -4*v - z - s = 0 for v. -5 Let b(d) = d**3 + 29*d**2 + 34*d + 173. Let k be b(-28). Solve x - 22 = k*y, -9*y = -7*y - x + 7 for y. -5 Suppose 295 = 33*w - 1223. Suppose 24 = 2*f + 4*p, -15 + w = 3*f + 5*p. Solve -8*q = -4*q + 4, f = 3*s + q for s. 1 Suppose 2*s - 2*n = 42, 132*n - 133*n = -3*s + 45. Solve 5*x - 16*y - 27 = -s*y, y + 18 = 5*x for x. 3 Suppose -2*x + 1 = -7. Suppose -47*k = 60*k - 321. Suppose -u - k + x = 0. Solve 3*n - u = -5*z + 12, -n = -5*z + 29 for z. 5 Suppose -232 = -5*b + 2*l, -236 = -5*b - 0*l + l. Let r be 6 + 11/(-4) + b/64. Solve 0 = 4*z - 3*i + 4 - 2, 0 = -z + r*i - 7 for z. 1 Let s = -95 - -99. Let y be (-123)/(2/s*-3). Let h = y + -80. Solve 2*k = -2*l + 10, k + 11 = 6*k - h*l for k. 3 Let x(g) = -10*g**2 + 726*g + 295. Let h be x(73). Suppose -4*y + 4 = -4. Solve -y*s = -s - 4, -h*s + 3 = -3*c for c. 3 Suppose -7*h + 14 = -0*h. Suppose -r + 3 + 2 = 0, z - 18 = -h*r. Solve -g + 1 + z = -2*n, -4*g = -12 for n. -3 Let k = -4296 - -4296. Suppose -5*g + 4*a = 48 + 2, g + 5*a = 19. Let w be g/9 + 2/3. Solve 1 = 3*o - d, o + w*o - 4*d + 7 = k for o. 1 Let c(p) = 7*p**2 - 44*p - 11. Let n be c(7). Solve 5*j = h - 6, 0*j - 4*j - n = 4*h for h. -4 Let t = 467 - 463. Suppose 2*j + 5*b + 34 = 53, t*j - 44 = -4*b. Solve 2*v - 2*m - 8 = v, -4*v + 4*m = -j for v. -2 Let p be (3/(42/(-16)))/((-189)/2646). Suppose p = 5*y - 2*g, 4*y + 5 + 2 = -5*g. Solve 0*b - 3 = b + 5*j, 4*b - y*j + 12 = 0 for b. -3 Let y = -6997 + 7000. Solve y*t - 3 = 0, 13 = 5*h + 5*t + 8 for h. 0 Let d(h) = 2*h**3 + 41*h + 5 - 4*h**3 - 8*h**2 - 2 - 3 - 4. Let z be d(-7). Solve -y - 13 = -z*k, -3*k - y + 3 = -8 for k. 4 Let n = 1174 - 1164. Solve 0 = 4*b + 2*i + n, -3*i + 0*i + 12 = -3*b for b. -3 Let d(s) = 18*s**3 - 28*s**2 + 34*s - 4. Let a be d(1). Solve -23*m = -a*m + n - 10, -3*n - 30 = -3*m for m. 5 Suppose -j - k = -7, -12*j - 3*k + 8*k + 101 = 0. Solve -5*n + 17 = 2*a + j, -5*a + 11 = n for a. 2 Suppose 128*g = 182*g - 90*g + 684. Solve g*b - 21*b + 6 = 4*s, -3*b = -3*s - 9 for s. 0 Let q = 2893 + -2888. Solve 3*d + 32 = 5*g, 0*d - q*g = 5*d for d. -4 Let l = -8 - -11. Suppose 2*p + 23 = 3*x + 2*x, 2*x + l*p = -6. Solve 3*m = -4*w + 15, 5*w - 14 = 4*m - x*m for w. 3 Let l(c) = c**3 + 25*c**2 + 63. Let m be l(-25). Let w be 297/m + (-2)/(-7) + -1. Solve -3*v = v - 4*p, -v + 9 = -w*p for v. -3 Let s be (-
{ "pile_set_name": "DM Mathematics" }
92 Evaluate -4 - (-516)/1032*(-20)/(-7). -18/7 What is the value of (-31)/1054*-85*(-3 + 32 + 1)? 75 Calculate 7 - (-354)/168 - (-72)/63. 41/4 What is the value of (-9 - (-31)/((-2015)/(-550))) + 2*-4 - -9? 6/13 Evaluate (12/84)/(1512/18522). 7/4 ((-38)/(-4) + -4)/(1*(10/20 - 1)) -11 Calculate 24/((-6336)/(-22)) + 30760/(-480). -64 13/(754/(-94772)*-43) 38 What is (2/(-36) - (-2)/(-2))*356490/(-79220)? 19/4 What is the value of (2565/3078)/((3 - 7)/(-48)) - (46 - 0)? -36 Evaluate ((-3)/(-23)*((-352)/(-96) + -4))/(0 - 1). 1/23 Evaluate (((-1)/(-26))/((-882)/(-1911)))/((-2)/18*-1). 3/4 66/154 + (-5304)/(-119) - 14 31 What is the value of (-21)/(-112)*4 - (405/720)/(6/(-440))? 42 What is the value of 595*258/17544 + (-630)/8? -70 What is the value of (70/(-1078)*-66)/((-20)/5)? -15/14 What is (1 - (-290)/70)/(-5 - (-8 - (-114)/42))? 18 What is ((-1024)/1536)/((-24)/(-189))? -21/4 What is ((-40)/(-8) + 455/(-14))*((-496)/60 + 8)? 22/3 Evaluate 0 - (-179)/8 - (655116/1056 - 620). 22 Evaluate (-231391)/23432 + 14/16. -9 What is (210/(-25)*(-20)/(-6))/((-34)/(-3 - -20))? 14 Evaluate (-16192)/759 + (3 - 0). -55/3 What is (-12)/(-60) + (-3432)/(-840)? 30/7 Calculate 7 + 39 + -21 + (-108)/(-6). 43 What is the value of 435/9135 - 25/35? -2/3 What is the value of 48/(-3 - -13 - (126/6 + -13))? 24 Evaluate 517/(-35) + (18 - 21720/1400 - (-128)/(-56)). -102/7 What is the value of (32/3*1100/800)/((-3)/(-9))? 44 What is (-838)/22207*-583 + 176/(-7)? -22/7 Calculate (219492/(-26))/126 + 48. -19 What is the value of (-8)/18 + 42066/6642 + (-35)/9? 2 Evaluate (-180)/(-30)*(140/21 + -8) - -2. -6 What is (3850/(-2695))/((-1)/21)*1/(10/8)? 24 707/101*(1 - (-14)/6)*(-1332)/777 -40 What is 416/312 + (-580)/75? -32/5 Calculate (13 + 9864/(-768))*(3 + 73/(-25)). 1/80 What is (1424976/(-5712) + 247)/((-2)/51)? 63 What is (-12)/44*(-84)/756*(-3)/(-2)*-6? -3/11 What is (20/15 + -1)*130/(-75335)*-61? 2/57 Calculate ((-423)/(-8883))/(1/525). 25 What is ((-3)/(-84))/(305/(-3660))? -3/7 What is (((-10098)/(-21420))/((-11)/5 - -1))/((-4)/14)? 11/8 What is the value of (-64)/1632 + -614*(-3)/153? 12 What is the value of 8 - 1 - (12/(-15) + 8477/1085)? -2/155 ((5/9 - 1)/(9352/2004))/((-4)/49) 7/6 What is 99 - (306 + 3 + -127)? -83 What is the value of (14160/(-800) + 18)/((-24)/5)? -1/16 What is ((-101)/(-222) - (-1)/(-3))*((-1157)/(-39) + -29)? 3/37 What is ((-3)/(-10))/((-6)/(-8)) + (-273 - 29213120/(-107200))? -6/67 What is (-701 + 689)*((-3)/1 - 0)/((-387)/(-86))? 8 11*(195/(-143) + 624/286) 9 Calculate -21 - (45 - 3390/75)*97. -8/5 What is 41/((-13120)/32) + 444/440? 10/11 Evaluate (30910/13207)/(35/1645). 110 What is 244/25*(-5)/78 + (-160)/(116000/(-435))? -1/39 What is (-7 - (-6 + -1))/(-1)*1*(-6)/42? 0 Evaluate ((-200)/420)/(-7 - (13680/392)/(-5)). 70/3 ((-21)/(-9))/((-2436)/57420) -55 Evaluate 12/(-28) - ((-49)/((-539)/(-3256)))/((-7)/2). -85 Calculate ((-15)/680*17)/((-51)/8432). 62 1756/13170 + (-3*1 - ((-372)/(-90) - 0)) -7 What is the value of ((-22570)/(-671) - -10) + (32/(-44))/(-4 - -2)? 44 What is the value of (2268/8)/7*7744/(-5808)? -54 336/(-756)*(5 - -33*(-39)/(-18)) -34 -73 + 18 + -57 + 62 -50 -12 - (9 + ((-45)/4 - 98/(-392))) -10 What is (5/10)/(((-19)/76)/((-385)/22))? 35 Evaluate (-348 + 345)*(-28)/48*1*(-6 + -46). -91 Calculate ((21 - 22)*-57)/(4/18 - (-121)/(-99)). -57 Calculate 16/(-33) - (-1*(-33 - -40) + (-158)/(-22)). -2/3 What is 6356826/45180 - 6/(-20)? 141 What is the value of (29370/1276 - 23)/(-8 + (-35226)/(-4404)) - -13? 10/29 What is ((-197168)/3364179)/(8/(-14))? 4/39 What is 16 - (-105*12/(-540) - -11)? 8/3 Evaluate ((-27)/8 + (44 - 11 - 30))*(-7 + 31). -9 (5/3*(-6)/7)/(-1157 + 1161) -5/14 Evaluate 31/(-3) + (-83642)/(-19302). -6 Calculate 176/(-44) - ((-2077)/(-33) - (16100/1155 + -14)). -67 What is (-12 - -8 - 180/(-24))*(-962)/(-91)? 37 What is the value of -63 - ((-340511)/3959 - -23)? 1/107 (13390/169 + -74)*(-16 + 3) -68 What is the value of (-116748)/1886 + (-328)/3362? -62 What is 3111 + -3118 + ((-26)/(-4))/((-2)/(-24)) + 3? 74 What is (-43)/86*(-28 + (-404)/(-16))? 11/8 What is the value of 42 - (39 + -16) - 28? -9 Evaluate -14 + -27 + (-26532)/(-648). -1/18 What is ((-144)/51)/4*((-29627)/424 - -70)? -3/34 Calculate 17447/219 - 81 - -1*(-52)/(-21). 8/7 What is (204/32 - (-51)/(-136))/(-10)? -3/5 (13 + -5 - 302/38) + (-33004)/(-703) 47 What is (-45)/3 - -2 - (38 + (52 - 84))? -19 What is the value of -81 - -9 - -42 - -30? 0 (-66*(-7)/11)/((-6)/(-10)) 70 What is the value of (-30)/350*1/((-18)/(-21))? -1/10 What is ((-4)/(-6) - ((-7277)/(-741) - 4/26)) + 10? 1 (-25155)/3268 - (15 + 637/(-28)) 1/19 What is (8 + (-207)/27)/(7/(294/(-28)))? -1/2 Calculate (52 + 33725/(-2812) - 40)*(6 + -2). 1/37 What is the value of (76 + -4)/(44/(-6)) + (-2771 - -2780)? -9/11 What is the value of 112/364*26*1? 8 -3 + (-9)/(-81)*9 - (-36)/(-3) -14 What is (-46)/(-26)*(-74685)/(-5745)? 23 What is the value of (-9706248)/6513780 + ((-20)/7)/(-2)? -4/65 What is (-198)/5016 + (-80978)/(-2888)? 28 What is 3/153 + 212421/192168? 9/8 Evaluate 6/2*(55 + 22230/(-405))*-54. -18 Calculate (736/(-28))/((-42964)/104608). 64 What is the value of (-48)/(-140)*1095/(-1752)*(-14)/(-204)? -1/68 Evaluate (-84)/20 - (17/2 + -10)/((-90)/(-72)). -3 What is the value of (((-844)/(-156) - 2) + 44/(-572))*(-168)/(-10)? 56 Calculate (-176)/(-32)*(0 - -1) - 576/128. 1 Evaluate 14427/(-16030)*(-112)/(-24). -21/5 What is 966/836 + 107718/(-91146)? -1/38 What is (-3)/(-7)*-1 + 1988/196? 68/7 Calculate -4 + ((-2)/(-7) - (-86)/18060*-10770). -55 Evaluate (15/(-13)*5/(-100)*-8)/((-441)/(-294)). -4/13 ((-3815)/(-15260))/(2 + 777/(-388)) -97 3/((-3)/139) - (52563 - 52560) -142 ((-11803)/(-185))/(114/(-190)) - (-3)/(-9)*-1 -106 Calculate (-27281 - -27232)*(-1 + 0 - -2). -49 Evaluate (-2*(-4 + 240/50))/((-36)/(-1980)). -88 What is the value of (-6412)/70 - (-9)/15? -91 Calculate ((-8)/3)/((-6)/9) + (-35136)/8736. -2/91 (23/(-782))/((-192)/(-544)) -1/12 (-240)/(-1248)*(-208)/(-80) 1/2 ((-45)/24 + -20 + 22)/(1891/488) 1/31 Calculate (-39 - (-10 + -18)) + -3 + -1. -15 What is the value of ((-42)/(-12)*(3 + 264/(-84)))/((-61)/2)? 1/61 Evaluate 26/143 - 52404/(-7260). 37/5 What is the value of (0 - 79) + (613 - 565)? -31 Evaluate ((-78)/(-91))/(-22 + 34170/1554). -74 Calculate ((-145)/1885)/(-3 + 8628/4316 - -1). 83 Calculate (1/((-1)/18))/(((-674)/(-1011))/(12/135)). -12/5 Calculate 1*18 + 1423 + -1435. 6 What is the value of (7952/(-128))/((-77)/22) + -13? 19/4 What is (-37908)/7020*2/6? -9/5 What is the value of ((-8220)/49320)/((-2)/1 - (-176)/84)? -7/4 What is the value of (170/450)/(-17)*174 + 4 + 433/15? 29 -1 + 1/5 - (-220382)/(-10910) -21 What is the value of (3/18*4*699/(-466))/(2/(-28))? 14 What is (2/8*-3)/(24992/(-3124) + (-1470)/(-184))? 69 What is the value of 56/(-35)*(-3045)/(-348)? -14 Evaluate (38/(-57))/((-59)/(-51) + 17 + -44 + 26). -17/4 21/(-12)*750/(-875)*(-330)/9 -55 What is 62/(-6)*-1 + 56 + 3984/(-72) + 60? 71 Calculate 410/(-4)*(12 - ((-216)/(-225))/((-18)/(-240))). 82 What is (-182712)/3519 - 8/102? -52 What is 114/(-42)*896/(-512)*-2? -19/2 Calculate ((-35)/175)/(-8 - (-567)/72). 8/5 What is ((-352)/(-112) - 3 - (-11392)/224)*5/6? 85/2 ((-7)/(140/55))/(37851/(-888)) 2/31 What is the value of 12/2 + (-16*1 - 17/(187/(-121)))? 1 (-19)/((25*10/(-50))/((-1 - -11)*-1)) -38 What is the value of 1*(6 + 1)*(5882900/28035 + -210)? -10/9 What is 4/54 + (-93)/(-3348)*(-444)/288? 1/32 (-1212)/1892 + 35528/190963 -5/11 What is the value of ((-144)/(-32))/(32*(-53)/20352)? -54 Calculate (3014/3288 - 1/12)*-8. -20/3 (1394/8)/41*((-180)/(-85) - 2) 1/2 What is the value of (-5 - 576/(-90)) + (-2142)/255? -7 Calculate 9*4/(-10)*(20 + (-3835)/177) - 55. -49 What is (110/2530 - 165/621)*(-345)/10? 23/3 Evaluate 40/200 - (-129)/55 - (31 + 1)/8. -16/11 (-2 - (-32)/(-60)*-3)/(82/9635) -47 What is (-168 - 15 - -195) + ((-2492)/30)/7? 2/15 What is the value of (-265)/1325 + 9066/180 + (-1)/6? 50 What is the value of 10*(-688)/(-160) + (-31 + 7)/3? 35 Calculate -6 + 2/(((-63)/(-675))/(4/(-28)) - -1). -3/13 Evaluate (-9360)/60 - (51 + -10)*-1. -115 What is 90/1365*(-7)/(-15)*(22 - -1 - -7)? 12/13 Evaluate 30/(-4)*(36 - (-784)/(-24)). -25 Calculate (-14 + -20 - -38) + 690/(-175). 2
{ "pile_set_name": "DM Mathematics" }
.054 - -0.046. What is the nearest to -1 in 3, d, p? d Let f = 0.47 - 0.37. Let y be -2 - (-2)/(0 + 1). Let d = 0.2 - 0.4. Which is the nearest to f? (a) -5 (b) y (c) d b Let r be 10*((-35)/(-10) - 3). Suppose r - 1 = -2*s. Which is the closest to 1? (a) 5 (b) -4 (c) s c Let g = 0.6 + -3.6. Let t be 4/3*6/4. Let p be 6/(-4) - (-315)/70. Which is the closest to 0.1? (a) t (b) p (c) g a Let x = 846.2 - 846. Which is the nearest to 2/5? (a) -70 (b) 0.4 (c) x (d) -3 b Let n = 13/3 - 149/33. Let p = 0.42 - 0.32. Which is the closest to p? (a) n (b) -0.1 (c) -3 b Let g = 12 + -11.6. Let t = -2 - -2.16. Let q = g - t. Which is the closest to -0.1? (a) q (b) 5 (c) -1/3 c Let x = 40 + -121/3. Let i = -35691 - -35688. Which is the closest to 2/5? (a) i (b) 0 (c) x b Let f = -509/388 - -6/97. Which is the nearest to -2/5? (a) f (b) 3 (c) 0 c Let l = -2576 - -450836/175. Let o = l - -2/25. Let u(m) = -m**2 - 21*m + 139. Let v be u(5). Which is the closest to 2? (a) -4 (b) v (c) o c Suppose 3*z - 56*p = -61*p - 34, 3*p = -15. Which is the closest to z? (a) 0.2 (b) -3 (c) 5 (d) 1/4 b Let b be 4/16 - (1 + -2). Let u be (-3)/7 + 324/(-420). What is the closest to 2 in u, 4, b? b Let k = 0.59 + 6.61. Let b = 6.7 - k. Let l be 1*((-4)/6 + 1). What is the closest to 1/3 in l, b, 4? l Let h = -5 - -16. Suppose 6 = -14*n + h*n. Let r = 0.7 - 0.2. Which is the closest to 0? (a) 0.3 (b) r (c) n a Let f = -4944 - -44452/9. Let n = f - -299/63. What is the nearest to -1 in n, -4, -2/7? -2/7 Let v be ((-810)/(-102))/9 + 6/51. Which is the closest to 0? (a) v (b) 0.4 (c) -0.1 (d) 0.01 d Let m be 2/5 - 51/15. Let t = 0.0523 - 0.0523. Which is the nearest to t? (a) -2 (b) m (c) 0.3 c Let j = -53 - -53.1. Which is the closest to -1? (a) -24 (b) -2/3 (c) j b Let t(x) = -12*x + 145. Let g be t(12). Which is the nearest to -0.1? (a) 0 (b) g (c) 4/5 a Let t = 6.4 - 6. Let g = -23 + 23. Suppose g = v + 2*v. Which is the nearest to v? (a) -3 (b) 4/3 (c) t c Let t = -157/3 + 53. Suppose 5*l + 4 = -2*z, 3*z + 0 = 2*l - 6. Which is the closest to 2/9? (a) l (b) t (c) 0.3 c Let r = -135 + 135.5. Let k be 228/495 + (-6)/15. Let w = -25/132 - k. What is the closest to 0.1 in 0.3, w, r? 0.3 Let w = 5831/855 + -130/19. Which is the nearest to -2/7? (a) w (b) 0.3 (c) 2 a Let i = 1823 + -1825. What is the closest to -2 in 5, i, -1/7? i Let u be 5*3/(-165) - 28/(-66). Which is the closest to -3? (a) -4 (b) -1/6 (c) 3 (d) u a Let u = -0.6 + 0.1. Let i = -14 + 13.982. Let o = -4.018 - i. Which is the nearest to o? (a) 3 (b) -1/6 (c) u c Let f be -2*(-11)/((-88)/16). Let x = 0.8 + -0.5. Which is the closest to 0? (a) -5 (b) f (c) x c Let k = 0 + 1. Let r = -6818.5 + 6818. What is the closest to 9 in k, r, -2? k Let i = 4.43 + -4.33. Which is the closest to i? (a) 1/2 (b) 385 (c) -0.5 a Let f = -1764 + 1760. Which is the nearest to -18? (a) f (b) -5 (c) 1/6 b Let c be 0 - ((-5)/(-1) + (-675)/125). What is the closest to -2/9 in -1.7, 3, c? c Let q be (-32)/(-6)*45/20. Let w be (-26)/(-16) - q/4. Let h = w + 29/24. Which is the nearest to -0.2? (a) h (b) 1/2 (c) 0.2 a Let i = 0.094 + 0.456. Let v = i - 0.55. What is the closest to 0 in 4, 0.03, v? v Let v = 3.07 + -0.07. Let w = 0.013 + 28.987. Let s = w + -29.1. Which is the nearest to s? (a) -1 (b) v (c) 4/7 c Let y be 148/(-37) - (-30)/7. Which is the closest to -1/2? (a) -0.3 (b) 0.5 (c) -0.9 (d) y a Suppose -2*d = -3*h + 29, 4*d + 47 = 7*h - 2*h. Let u(b) = -b + 9. Let z be u(h). Let l be ((-28)/16)/7*z. What is the closest to l in 1/2, -5/2, 2/3? 1/2 Let w = 3193/46 - 139/2. Which is the closest to -0.1? (a) 1 (b) -3 (c) -0.1 (d) w c Let i = 0.36 - -0.04. Suppose -2*x = 1 + 7. Let v = -0.126 + -0.374. Which is the closest to x? (a) i (b) v (c) 3 b Let b = -212.5 - -212. What is the closest to -2 in -1, b, -0.07? -1 Let k(d) = -d**3 - 4*d**2 + 30*d - 7. Let s be k(-8). Which is the closest to s? (a) 5 (b) -0.1 (c) -1/4 a Let y = -116 + 347/3. Which is the closest to 0.1? (a) 1/10 (b) -44 (c) y a Let a = -1333 + 1333.5. What is the nearest to -72 in a, 0.1, -1? -1 Let j(z) = 2*z**2 - 6*z + 1. Let x be j(3). Which is the nearest to -1? (a) 3 (b) -7.6 (c) -1 (d) x c Let n = 46 + -35. Let v = n + -12. Which is the closest to v? (a) 1 (b) -0.03 (c) -1 c Let c = 153 + -153.5. Let v(q) = q**3 - 5*q**2 + 5*q - 5. Let j be v(4). What is the closest to j in 0, c, -4? c Let b = 27.9 + -27.9. What is the nearest to -3 in -0.3, 3/7, -1/4, b? -0.3 Let u = -0.05 + -4.95. Suppose -4 = 44*w - 136. Which is the nearest to 0.1? (a) w (b) 4 (c) u a Let r be 49/(-294) - ((-32)/12)/4. Which is the nearest to -11.8? (a) -2 (b) -5 (c) r b Suppose -35 + 22 = 13*t. What is the closest to -0.1 in -2/11, 1, t, -5? -2/11 Let d = 0.8 + -0.9. Let q = 64.19 + -0.59. Let m = q - 64. What is the closest to -0.1 in d, m, 4? d Let o = 4.4 - 8.3. Let u = -3.5 - o. What is the closest to -0.1 in 1/5, u, 1/2? 1/5 Let p = -1811 + 1847. Which is the nearest to 0.2? (a) p (b) 4 (c) -1 c Suppose -9*j + 27 - 18 = 0. Which is the closest to -7/2? (a) j (b) 1/5 (c) 5 b Let p = 3 - 3.2. Let d = -0.1 - p. Let h = -1310 + 1315. Which is the closest to d? (a) 0.5 (b) h (c) -0.4 a Let g be 267/30 + -9 - (-66)/260. Let y = 1147/60 + -77/4. Which is the nearest to y? (a) g (b) 0.4 (c) -0.1 c Let m = 0.293 - 1.293. Which is the nearest to -1/3? (a) -0.4 (b) 0.4 (c) m (d) 5 a Let q(u) = 2*u**2 - 23*u - 50. Let h be q(12). What is the nearest to -3 in h, -0.5, -3/5, 3/2? -3/5 Let o = -677/5 - -135. Let f = -373/146 - -4/73. What is the closest to o in f, -2/7, -2/13? -2/7 Let b(c) = -c**2 + 26*c - 125. Let s be b(6). What is the closest to 0.1 in -0.5, s, -0.1? -0.1 Suppose -12 = -f + 5*t, 0 = -f - 0*f + 4*t + 11. Let v be ((-2)/f)/(0 - 1). Let r = -108.3 + 108. Which is the nearest to -0.1? (a) v (b) -0.4 (c) r c Let c = -1/123 + 14/41. Let y = 211/4 - 53. What is the closest to y in -1/7, -5, c? -1/7 Let b = 7.103 - 0.103. Let k(v) = 4 - 6 - v**3 - 1 - 7*v**2. Let o be k(-7). What is the closest to -0.1 in o, 0.1, b? 0.1 Let q = -0.5 + 0.5. Let f = -25 + 26. Which is the closest to q? (a) f (b) -3/4 (c) 2 b Let y be 4/30*(17 - (23 - 16)). Which is the closest to -2? (a) 1 (b) 11 (c) y (d) 4/7 d Let n = -96 + 99. Let y = 94 + -89. What is the closest to 0.1 in n, y, 2/7? 2/7 Suppose 34 = 33*j - 164. Which is the nearest to -0.2? (a) 2 (b) j (c) 1/13 c Let d = -14 - -124/9. Let r = -6 - -9. Suppose -r*k - 2*k = 15. Which is the closest to k? (a) 1/2 (b) -0.5 (c) d b Let n = 6 + -28. Let g = 23 + n. Which is the nearest to g? (a) -1 (b) -3 (c) -0.3 c Let i = 1.298 - 0.298. Let s = 0 - -0.1. Which is the nearest to 2? (a) -0.3 (b) i (c) s b Let f = -0.08 + 0.02. Let a be 3 - 1/(2/4). What is the closest to -0.1 in a, f, 2/13? f Let d = -39.7 + 39.5. Which is the closest to 0? (a) 46 (b) 0.1 (c) d b Let c be (3/3)/(2/26). Suppose -4*u = -5*l - 2 - c, -2*u + 6 = -2*l. What is the nearest to -1/4 in 19, l, -4? l Let h = 2651/12 - 221. What is the nearest to 0.1 in h, 2, -5? h Let r = -59 - -40. Let y = r + 19.2. Let g = 4 - 4. What is the nearest to g in 2, -4, y? y Let i = -0.55 - -11.95. Let v = -11 + i. Let u = 0.7 - -0.3. Which is the closest to -1? (a) v (b) -1 (c) u b Let i = -2 + 1.8. Let r = -10.9 + 10.6. Let v = r - i. Which is the nearest to v? (a) -4 (b) -4/9 (c) 3 b Let x = -0.9 + 1. Let w = -1/13 - 8/65. Let a = 9.7 - 10. What is the closest to x in a, -2/19, w? -2/19 Suppose -125 = -5*n - 400. Let x be 8/2 - n/(-15). Let j = 0 + 5. Which is the closest to x? (a) j (b) -3/2 (c) -6/5 c Let o = -90 - -92. Which is the closest to o? (a) -3 (b) 1 (c) 0.2 b Let s = 0.2 - 0.7. Suppose 0 = 102*h - 22*h + 32 - 272. Let k = 0.1 - -0.1. Which is the closest to k? (a) -4 (b) s (c) h b Suppose -2*t - 7 = -1. Let s be (-12)/(0 + (-3)/t). Let r be (-21)/(-18) + 8/s. What is the nearest to 2/7 in r, -2, -1? r Suppose 15 = 3*s - 0*s. Let u be ((-2)/s)/(4/20). Let v be (0 + 0 + -1)*0. What is the closest to u in -0.5, v, -0.3? -0.5 Let j = 0.4 - 0.3. Let r = -0.7 + 0.2. Let u = -158.5 - -156.5. Which is the closest to 1/5? (a) j (b) r
{ "pile_set_name": "DM Mathematics" }
q. 5 Let z = 373 + -353. Solve 2*p = 7*p - z for p. 4 Let q = -5 + -7. Let t be (-76)/q + (-1)/3. Let o be t*3/(9/4). Solve 4*x = -0*x + o for x. 2 Let h(l) = 16 - 6 - 9*l**2 - 7*l + 5*l**2 + 3*l**2. Let t(c) = c - 4. Let m be t(-4). Let y be h(m). Solve y - 4 = 2*g for g. -1 Let c(f) = -f**3 + 3*f**2 + 59*f + 30. Let g be c(-6). Let l be 0/1*(-3)/6. Solve g = -l*w + 3*w for w. 0 Let j = 50 + -40. Suppose p - j*p = -81. Solve 0 = 6*q - 3*q + p for q. -3 Let c be (-4)/14 - ((-204)/28 - -4). Solve 0 = c*r + r + 8 for r. -2 Let x(u) be the first derivative of u**3/3 + 3*u**2 - 28*u - 23. Let k be x(-10). Solve 0 = -5*p - k + 2 for p. -2 Let h = -949 + 962. Solve -h*g = 11 + 54 for g. -5 Let x(n) = -5 - 3*n + 0 + n. Let r be x(-5). Let w(u) = -u**2 - 20*u - 79. Let s be w(-14). Solve 0*z = s*z - r for z. 1 Let i(r) = -r**3 - 14*r**2 - 11*r - 13. Let n be i(-13). Let w = n + 43. Solve -w = -3*z - 1 for z. 1 Suppose 151 - 241 = -6*c. Solve -3*b + c = -0*b for b. 5 Let y(h) = -6*h - 60. Let a be y(-12). Solve -5*u = -u - a for u. 3 Suppose 3*z = 4*y + 16, -6*y - 5*z = -3*y + 41. Let t = y - -11. Solve -3 - 1 = t*d for d. -1 Let w(y) = -5*y**3 + 4*y - 6. Let x(d) = 14*d**3 - d**2 - 11*d + 17. Let g(f) = -11*w(f) - 4*x(f). Let i be g(3). Solve -4*m = -i*m + 12 for m. 4 Suppose -2*i + 2 = -4. Let x = -3 - i. Let w = x - -9. Solve -k = -w*k - 2 for k. -1 Let c be 0 + ((-35)/(-5) - 3). Suppose -h = -c*h. Solve f + h*f + 1 = 0 for f. -1 Let m = 371 + -365. Solve -12*z + 42 = -m for z. 4 Suppose 5*f + 4 = -2*s, 8 = 2*f - 4*f. Let g be (80/(-15))/(s/(-12)). Solve g = 4*o - 2*o for o. 4 Let j be (3 - -170) + 4 + -4. Let x = j - 169. Solve 0 = -w - x + 1 for w. -3 Let k be (63/(-28))/((-6)/16). Suppose 0 = 4*h - k + 2. Solve w = -0*w - h for w. -1 Let v be ((-28)/(-35))/(4/10). Let s(p) = -p**2 + p + 4. Let i be s(v). Solve h = i - 5 for h. -3 Let d = 1142 - 1126. Solve 5*y = d*y + 55 for y. -5 Let k be ((-3)/((-42)/(-40)))/(101/(-707)). Solve r = k - 24 for r. -4 Let b be 3 + 2 + (-4)/4. Suppose 0*u + 2*u - 2*g - 6 = 0, 2*u + b*g = -6. Let p = -12 + 16. Solve -q = -u - p for q. 5 Suppose 5*q + 4*u - 74 = 168, 2*q = -u + 98. Solve -5*f + q = 75 for f. -5 Let r = 10 - -2. Let b(y) = -5*y - 31*y**2 - r + 24*y**2 - 4*y - y**3. Let x be b(-6). Solve f + f + x = 0 for f. -3 Let r(v) = 0*v - 3*v + v. Let j be r(-4). Let f = j + 7. Solve 4*q = -q + f for q. 3 Let s be 225*(36/40 + (-2)/4). Solve s = -4*x + 74 for x. -4 Let p be (2 - -8)/(-4 + 3). Let b(m) = -15*m + 6. Let t be b(p). Let n be (-2)/(-4) - t/(-8). Solve -2*j - 3*j = -n for j. 4 Suppose -16 = -3*v + 5*x - 1, 4*x - 2 = v. Suppose 0 = -2*h - v - 6. Let c = h + 29. Solve c - 1 = 5*k for k. 4 Let g be (2 + (-13)/(-4))*(-5 + 1). Let a be (-2 + g/(-12))/(4/(-32)). Solve 0 = -a*p - 0*p - 8 for p. -4 Let r = -6 - -8. Suppose r*z - 6*z = -4. Let a(y) = -9*y - 43. Let o be a(-5). Solve -z = -f - o for f. -1 Let a = 368 - 360. Solve -4*h + a - 16 = 0 for h. -2 Let t = -2 + 5. Suppose -3*g = g - 20. Solve -g*j = -t - 7 for j. 2 Let d = -36 + 8. Let i = -28 - d. Solve i = 2*s + s for s. 0 Let o be 0/(3/((-12)/8)). Let q = o - -13. Solve 0 = -4*i + 5 - q for i. -2 Let g(p) be the first derivative of -p**2 + 22*p + 1. Let h be g(9). Suppose -6*z = -h*z. Solve 4*a + a - 10 = z for a. 2 Suppose -6 = 21*m - 24*m. Suppose 2*r + 0*r + h - 14 = 0, -m*r + 26 = 4*h. Solve -r*f = -2 - 18 for f. 4 Let p = -22 + 46. Suppose 4*i - 10*i = -p. Solve -i*z - 7 = -3 for z. -1 Let y = 1644 + -1629. Solve 0 = 6*s - y*s + 18 for s. 2 Suppose -5*u - 4*v = 33, -4*u - v - 3 = 19. Let z be u - (0 - 4) - -8. Solve 0 = -z*w + 3*w for w. 0 Let z = 15 + 57. Suppose 0*v + z = 4*v. Let n = 24 - v. Solve 0 = n*o - 2*o for o. 0 Suppose 4*g + 504 = 28*g. Solve -g*t - 48 = -5*t for t. -3 Let r = 198 - 193. Solve r*k + 14 = -11 for k. -5 Let d be 1/2 - (-343)/14. Suppose -d = 138*c - 143*c. Solve -c*m + 4 + 16 = 0 for m. 4 Suppose 3*p + 2 = -2*x + x, 2 = -2*p - x. Let s = 182 - 180. Solve p = s*n + n for n. 0 Suppose 2*p = -14*p + 8*p. Solve p - 8 = -4*d for d. 2 Suppose -2*b + 94 = -5*c, 3*b + 3*c - 126 = -27. Let m be -102*(10/(-6))/5. Let r = b - m. Solve -6*q = -r*q for q. 0 Suppose 0 = -6*i - 1210 + 1228. Solve -q = i*q + 12 for q. -3 Suppose -4 = -2*j + 3*m, 3*m - 6 = -5*j + 4. Let p(c) = 3*c - 105. Let u be p(35). Solve u*q = j*q for q. 0 Suppose 18 = -k - 2*k. Let b be k - -9 - (-2)/(-2). Suppose 0*u + 8 = 4*x + 4*u, b*x - 4*u - 10 = 0. Solve -2*c = -x*c for c. 0 Suppose -16*q - 10 = -14*q. Let u be -2 - (q - (-4 + 3)). Solve 2*i - u = i for i. 2 Let k(o) = o + 1 - 2*o + 0 - 2. Let u be k(-1). Solve -5*d + u*d + 25 = 0 for d. 5 Let m(r) = -r**3 + 10*r**2 - 5*r - 20. Let k be m(9). Suppose -1 + k = 5*z. Suppose -z*j + 2 = -4. Solve -6 = j*v - 2 for v. -2 Let d = 72 + -24. Suppose 0 = -45*j + d*j. Solve 25 = -j*t - 5*t for t. -5 Let s be 532/22 - 4/22. Suppose 9*k - 5*k = s. Let a be 0*(k/9 - 1). Solve a = -r - 0*r for r. 0 Suppose a - 2*i = 10, 11 - 36 = -4*a + 3*i. Suppose -12 = -f - 2*c + 4*c, 0 = -a*c + 8. Suppose -h = 3*h - f. Solve 2*o + 4 = h*o for o. 2 Suppose 3 = 7*x - 2*x - 4*m, 3*m + 6 = 5*x. Suppose 6*j - x*j = -18. Let s be 45/60*(-40)/j. Solve 2*q = -3*q - s for q. -1 Let v(t) = -t - 5. Let u be -3 + (-2 - -3) + 2. Suppose 4*r + 20 = -u*r. Let i be v(r). Solve 5 = 5*q - i for q. 1 Let k be (3 - -2 - -1) + -2. Solve f = -k*f for f. 0 Let n be (-4)/24*3 + 170/20. Solve -3*d = -n*d - 5 for d. -1 Suppose -2*c = c - 9. Suppose 3*r = -5*u + 46, 14*r = 3*u + 18*r - 32. Solve -c*m = m + u for m. -2 Suppose 3*m - f = 3*f - 12, -5*f + 15 = -5*m. Suppose 0 = -2*y - m*y. Suppose -3*k + 6 = -y*k. Solve 2 = -t + k*t for t. 2 Let t be (10 + (-18)/3)/2. Solve 0*m + t*m = 8 for m. 4 Let z(b) = b + 7. Suppose -3*s - 38 = 2*s - 2*l, 5*s = l - 39. Let n be z(s). Let m be (-3)/(-1)*(4 - n). Solve 4*q + q = -m for q. -3 Let p be (2 - (-5)/1)*1. Let f = p - 2. Suppose 2*n - f*g = -17, -7*g + 10 = -5*g. Solve 0*r = -n*r - 8 for r. -2 Let j(h) = h**2 - 5*h + 4. Let y be j(4). Solve -4*v - 2*v = y for v. 0 Let h be (-34)/(-2) + (-3)/(-3). Let p be (17/(-3))/(6/h). Let t = p + 21. Solve 0 = -t*i - 1 + 13 for i. 3 Let i(v) = v**3 - 5*v**2 + 5. Let j be i(5). Suppose 0 = 3*h - 2*k + 5*k, 0 = j*k. Solve q + h*q = 0 for q. 0 Let q(d) = 33*d + 3. Let i be q(1). Suppose -f = 2*f - i. Solve f = -2*c + 5*c for c. 4 Let n = 580 - 568. Solve 25*z = 38 + n for z. 2 Suppose 0 = 27*p - 30*p - 66. Let w = p - -26. Solve -u = -w*u for u. 0 Let o be (-4)/(4/(-3))*1. Let m = 12 - 7. Suppose -i + 4 = -m*c, o*i - 14 + 2 = -c. Solve i*v - 2 = 2*v for v. 1 Let b be (-2)/(-16)*-4*0. Solve b = -3*k - 12 for k. -4 Suppose 7 = -b - 2*n, -4*n = 2*b + n + 19. Solve 3 = -b*p + 2*p for p. -3 Let m = 396 + -393. Let u = 10 - 8. Solve u*h = -h - m for h. -1 Suppose 15 = 2*t - 7*t. Let m = t + 0. Let i be 3 - (-3 + 1 - m). Solve 0 = 4*d + i + 10 for d. -3 Let m(k) = -2*k + 141. Let q be m(45). Solve -30 + q = -7*y for y. -3 Let o be (2 - 1)/((-66)/12 + 5). Let d(f) = f**2 - 4. Let q be d(o). Solve -4*j + 3*j = q for j. 0 Suppose -14*z + 38 + 18 = 0. Suppose z*h - 19 = -3*v - 0*h, -5*v = -2*h + 3. Solve 0 = -u + 4 - v for u. 3 Suppose -415 = 5*k - 465. Solve -k*l = -13*l - 3 for l. -1 Let y(f) = 5*f. Let a be y(3). Let j be -8*(a/(-6))/5. Solve 0 = 3*p - 5 - j for p. 3 Suppose 3*g - 12 = -3. Solve 0 = g*a + a for a. 0 Suppose -63 = 23*t - 155. Suppose -3*l = t*z - 44, 4*l - 3*z + 7 = 3*l. Solve 5*w = 3 - l for w. -1 Suppose -6 = w - 13. Let o(n) = n**2 - 8*n + 10. Let b be o(w). Suppose b*g - 12 = g. Solve -2*l = -0*l + g for l. -3 Let l(u) be the third derivative of -u**4/8 - 8*u**3/3 - 13*u**2. Let w be l(-6). Solve 0 = w*t - 0 - 4 for t. 2 Let k(y) be the third derivative of 1/12*y**4 + 0*y - 2/3*y**3 + 2*y**2 + 0. Let g be k(5). Solve 2*x + 0*x - g = 0 for x. 3 Let j = -9 - -7. Let p be j/16 + (-1)/(-8). Solve p = 2*g - 8 + 2 for g. 3 Suppose -2*w = -3*k, -34*w + 4*k + 14 = -29*w. Solve 9*n = -w*n - 60 for n. -4 Let o = 29 - 19. Let m be (o/25)/((-2)/(-40)). Suppose 2 = -c + m. Solve 4*v = -c + 2 for v. -1 Suppose -j + 6*d = 2*d - 4, -5*j + 5*d + 20 = 0. Let w(u) = 2*u - 5. Let k be w(j). Solve -15 = k*l - 0 for l. -5 Let h(q) be the third derivative of -q**4/4 - q**3/6 + 2*q**2. Le
{ "pile_set_name": "DM Mathematics" }
ng 2 a? 1/6 Four letters picked without replacement from {h: 3, m: 5, d: 2}. What is prob of picking 1 d and 3 m? 2/21 What is prob of picking 2 o when two letters picked without replacement from {k: 2, o: 9, s: 5}? 3/10 Two letters picked without replacement from {k: 2, w: 1, x: 1, g: 2, l: 3, z: 9}. What is prob of picking 1 g and 1 x? 2/153 Four letters picked without replacement from uddnudrndrudurdrnpsr. What is prob of picking 1 u, 1 p, 1 r, and 1 s? 4/969 Three letters picked without replacement from tmtmtttttmmtttmmttm. Give prob of picking 2 m and 1 t. 84/323 What is prob of picking 4 w when four letters picked without replacement from wppwwwpwwpwpwwwpwwp? 165/1292 What is prob of picking 1 p and 2 x when three letters picked without replacement from {t: 5, s: 5, j: 4, x: 3, p: 1}? 1/272 Three letters picked without replacement from {j: 9, g: 2, l: 7}. What is prob of picking 3 l? 35/816 Calculate prob of picking 1 a, 1 y, and 1 b when three letters picked without replacement from {y: 3, a: 1, b: 1, r: 2}. 3/35 Two letters picked without replacement from {h: 1, k: 2, b: 1, g: 1}. What is prob of picking 1 h and 1 b? 1/10 What is prob of picking 3 a and 1 e when four letters picked without replacement from {a: 5, z: 1, e: 3, v: 9}? 1/102 Calculate prob of picking 1 m, 1 x, and 1 n when three letters picked without replacement from {x: 3, m: 2, b: 1, n: 1, o: 4, h: 4}. 6/455 What is prob of picking 2 y and 2 t when four letters picked without replacement from {q: 1, t: 1, d: 2, y: 1}? 0 Two letters picked without replacement from {n: 6, y: 2, w: 3, g: 4}. Give prob of picking 2 n. 1/7 Three letters picked without replacement from lttlllllll. What is prob of picking 3 l? 7/15 Three letters picked without replacement from {k: 2, v: 1, y: 1}. Give prob of picking 1 v and 2 k. 1/4 Four letters picked without replacement from hyyhybhyyhnnyhhhn. Give prob of picking 1 n and 3 h. 3/68 Four letters picked without replacement from {a: 4, u: 10}. What is prob of picking 1 a and 3 u? 480/1001 Two letters picked without replacement from {j: 1, z: 1, g: 2, u: 1}. Give prob of picking 2 g. 1/10 What is prob of picking 1 c and 1 g when two letters picked without replacement from ddxxdgdxdxddxcdggddd? 3/190 Three letters picked without replacement from {g: 4, a: 2, i: 1, n: 4}. Give prob of picking 2 g and 1 a. 4/55 Calculate prob of picking 1 l and 3 k when four letters picked without replacement from {k: 4, m: 4, l: 6, r: 3}. 6/595 Two letters picked without replacement from {n: 5, u: 6, z: 2}. Give prob of picking 2 u. 5/26 Two letters picked without replacement from {o: 5, a: 1, u: 9, s: 5}. Give prob of picking 1 s and 1 a. 1/38 Calculate prob of picking 3 x when three letters picked without replacement from {d: 8, x: 8, r: 2}. 7/102 What is prob of picking 1 x, 1 j, and 1 g when three letters picked without replacement from xxjjxgnjojgjj? 18/143 Two letters picked without replacement from wnwyff. Give prob of picking 1 w and 1 f. 4/15 Three letters picked without replacement from byybrkynyyykbbb. Give prob of picking 1 b, 1 n, and 1 k. 2/91 What is prob of picking 2 q when two letters picked without replacement from uzutsnuunnnnuqq? 1/105 Three letters picked without replacement from uuttut. Give prob of picking 2 u and 1 t. 9/20 Four letters picked without replacement from ssolslsolllollo. Give prob of picking 4 o. 1/1365 Four letters picked without replacement from {g: 7, v: 12}. What is prob of picking 3 g and 1 v? 35/323 Two letters picked without replacement from {k: 1, q: 2, b: 2}. Give prob of picking 1 k and 1 q. 1/5 Two letters picked without replacement from blbkbkbte. Give prob of picking 1 t and 1 l. 1/36 What is prob of picking 1 c and 2 l when three letters picked without replacement from cclcccl? 1/7 Two letters picked without replacement from {p: 3, n: 10, w: 2}. What is prob of picking 2 p? 1/35 What is prob of picking 1 h and 1 k when two letters picked without replacement from {h: 2, y: 8, k: 4}? 8/91 Three letters picked without replacement from {f: 16, a: 4}. What is prob of picking 2 f and 1 a? 8/19 Four letters picked without replacement from zxssxgzxsa. Give prob of picking 2 z, 1 a, and 1 s. 1/70 What is prob of picking 1 p and 1 e when two letters picked without replacement from {a: 2, e: 1, p: 3, l: 3, c: 1, h: 3}? 1/26 Four letters picked without replacement from pxqppddxxpqpsppx. What is prob of picking 4 x? 1/1820 Two letters picked without replacement from xsxsxssuxsus. What is prob of picking 2 u? 1/66 What is prob of picking 1 h, 1 d, and 2 o when four letters picked without replacement from hodhooioohvoihl? 4/91 What is prob of picking 2 v when two letters picked without replacement from ovoovvo? 1/7 Three letters picked without replacement from qnenqnjqunqjnujqnqjn. What is prob of picking 1 q, 1 j, and 1 e? 2/95 Three letters picked without replacement from awnnwnaaaawannnwnaaw. What is prob of picking 3 a? 14/285 Four letters picked without replacement from {e: 7, f: 6, a: 1, o: 1}. Give prob of picking 1 f, 1 o, and 2 e. 6/65 What is prob of picking 2 m and 2 j when four letters picked without replacement from mmmjmmmmmjmmmmmmmm? 2/51 Calculate prob of picking 3 k when three letters picked without replacement from {k: 7, q: 1}. 5/8 Calculate prob of picking 1 o, 1 z, 1 b, and 1 x when four letters picked without replacement from {x: 5, b: 10, o: 1, j: 3, z: 1}. 10/969 Calculate prob of picking 2 y when two letters picked without replacement from {k: 6, y: 6}. 5/22 Calculate prob of picking 2 q when two letters picked without replacement from qqqqqqqqq. 1 Calculate prob of picking 1 u and 1 h when two letters picked without replacement from hug. 1/3 Two letters picked without replacement from {k: 4, s: 3, n: 6}. What is prob of picking 1 k and 1 s? 2/13 Two letters picked without replacement from vph. What is prob of picking 1 p and 1 v? 1/3 Calculate prob of picking 1 y and 1 j when two letters picked without replacement from {j: 1, y: 2, l: 2, h: 1, p: 1, f: 1}. 1/14 Four letters picked without replacement from smeembm. What is prob of picking 1 s, 1 b, and 2 e? 1/35 What is prob of picking 1 j and 1 m when two letters picked without replacement from {u: 1, w: 1, j: 2, s: 1, m: 1, z: 1}? 2/21 Four letters picked without replacement from mlqqqmmqqqmlmnnmnqq. What is prob of picking 2 q and 2 l? 7/969 What is prob of picking 1 p and 1 h when two letters picked without replacement from {h: 2, p: 3}? 3/5 Calculate prob of picking 2 x when two letters picked without replacement from {x: 9}. 1 Two letters picked without replacement from {k: 5, t: 1, v: 3, r: 4, g: 1, m: 3}. Give prob of picking 1 k and 1 m. 15/136 Two letters picked without replacement from {k: 1, e: 2, s: 1, z: 1}. What is prob of picking 1 k and 1 e? 1/5 Calculate prob of picking 1 v and 1 k when two letters picked without replacement from kkekekkkkkveve. 16/91 Four letters picked without replacement from oqcqcocddcq. Give prob of picking 2 q and 2 d. 1/110 What is prob of picking 2 f when two letters picked without replacement from {f: 2, k: 3}? 1/10 Two letters picked without replacement from bbddbbbbb. Give prob of picking 2 d. 1/36 What is prob of picking 3 n and 1 j when four letters picked without replacement from paljnsl? 0 Two letters picked without replacement from ggwgggwgwgg. Give prob of picking 2 g. 28/55 Three letters picked without replacement from ppppdpdppdppdpdppdd. What is prob of picking 3 p? 220/969 What is prob of picking 2 s when two letters picked without replacement from {s: 9}? 1 Calculate prob of picking 2 u when two letters picked without replacement from huhzehu. 1/21 What is prob of picking 4 a when four letters picked without replacement from {x: 4, a: 10}? 30/143 What is prob of picking 2 k and 1 b when three letters picked without replacement from bkrkkkrkkrrrrr? 15/364 Two letters picked without replacement from haaahcahhc. Give prob of picking 2 c. 1/45 Calculate prob of picking 1 y, 1 a, and 1 z when three letters picked without replacement from {a: 1, y: 1, z: 2}. 1/2 Two letters picked without replacement from {s: 1, t: 1, b: 1, o: 1, l: 1}. Give prob of picking 1 t and 1 s. 1/10 Three letters picked wi
{ "pile_set_name": "DM Mathematics" }
= 3*p + 34, p + 19 + 11 = -4*c. Let l be (-1)/((c/(-6))/(-4)). Differentiate 1 + 6*j**2 - 4*j**2 - l*j**2 wrt j. -2*j Let m = 4 - 0. Find the second derivative of 3*v - m*v**4 - 4 + 2 + 2 wrt v. -48*v**2 Let i(s) be the third derivative of 0*s**6 + 0*s**3 - 5*s**2 + 0*s + 0*s**7 + 0 - 1/42*s**8 + 5/24*s**4 + 0*s**5. What is the second derivative of i(k) wrt k? -160*k**3 Suppose -2*o + 24 = -3*p, 36 = 4*o + 2*p - 5*p. What is the second derivative of 5*j**5 + 4*j**5 - o*j**5 - j wrt j? 60*j**3 Let a(q) be the third derivative of q**8/4032 + q**6/180 + q**5/15 - 4*q**2. Let l(o) be the third derivative of a(o). Differentiate l(c) wrt c. 10*c Let t(g) = -g**2 - g. Let l(m) = 3*m**2 + 14*m. Let q(d) = l(d) + 5*t(d). Find the second derivative of q(i) wrt i. -4 Let t(z) be the second derivative of -z**4/4 - 5*z**2/2 - z. Differentiate t(c) with respect to c. -6*c Differentiate 3*g - 4*g + 3*g + 0*g - 9 with respect to g. 2 Let w(g) = -g**2 + 6*g + 3. Let l be w(6). Let b(n) be the second derivative of 0 + 1/2*n**2 - n + 1/6*n**l. Differentiate b(t) with respect to t. 1 Let t(u) = -u**2 + 7*u + 8. Let g be t(9). Let d = g - -12. Differentiate -1 + 0*b**d - 2*b**3 + b**3 + 0*b**2 wrt b. -3*b**2 Let v(m) be the first derivative of -26*m**5/5 - 23*m + 24. Find the first derivative of v(y) wrt y. -104*y**3 Let g(p) be the second derivative of -p**8/8 - 11*p**4/6 + 20*p. What is the third derivative of g(m) wrt m? -840*m**3 Let f = 5 - 5. Suppose 4*p - 19 + 3 = f. Differentiate -6 + 3 - p*i**3 - 1 with respect to i. -12*i**2 Let b = 10 - 10. Let d(q) be the third derivative of 0*q**3 + 0*q + 1/24*q**4 + 2*q**2 - 1/40*q**6 + b + 0*q**5. What is the second derivative of d(f) wrt f? -18*f What is the first derivative of -3 + 6*d**2 - 20 + 4 + 54*d**2 wrt d? 120*d Let j(b) be the first derivative of 4*b**5/5 - 5*b - 2. What is the derivative of j(s) wrt s? 16*s**3 Find the second derivative of 3*b + 13*b + 5*b**2 - 5*b**2 - 11*b**3 wrt b. -66*b Let h(i) be the first derivative of -i**5/10 - 5*i**4/12 - 4*i + 2. Let j(k) be the first derivative of h(k). What is the third derivative of j(a) wrt a? -12 Let z(f) = -f**5 + f**4 + f**3 + 1. Let a(d) = -3*d**5 + 2*d**4 + 2*d**3 - 4*d**2 + 2. Let u(j) = a(j) - 2*z(j). What is the third derivative of u(b) wrt b? -60*b**2 Let s = -3 - -9. What is the third derivative of -3*p**6 + 2*p**2 - p**s + 4*p**2 wrt p? -480*p**3 Find the second derivative of -31*y - 38*y + 72*y + y**4 wrt y. 12*y**2 Let r(i) = -5*i**3 - 4*i + 7. Let g(j) = -j**3 - j + 1. Let x(s) = 4*g(s) - r(s). Find the first derivative of x(d) wrt d. 3*d**2 Find the first derivative of -33*t**2 + 7 + 31*t**2 + 9 wrt t. -4*t Let h(p) be the second derivative of 7*p**6/30 - 21*p**2/2 - 23*p. Differentiate h(g) wrt g. 28*g**3 Let x(y) = -2*y**3 - y**2 - y. Let k be x(-1). Let p = k + 3. What is the second derivative of 0*l**5 - l - l - l**p wrt l? -20*l**3 Differentiate -4*k**2 - 32 + 11 + 21*k**2 + 24*k**2 wrt k. 82*k Let a(s) be the third derivative of -s**8/5040 - s**6/144 - s**5/10 - 4*s**2. Let i(u) be the third derivative of a(u). What is the derivative of i(l) wrt l? -8*l Let s(i) = i**2 - 4. Let f be s(-3). Find the second derivative of 5*l**2 + 16 - 11 - 4*l - f wrt l. 10 Let u(m) be the first derivative of m**6/60 - m**4/12 + m**2 - 1. Let j(k) be the second derivative of u(k). Find the second derivative of j(n) wrt n. 12*n Suppose 8 = -2*t + 5*t - u, -4*u = t - 7. Find the second derivative of c**2 - t*c - c + 3*c wrt c. 2 Let a(r) be the first derivative of r**5/12 - 3*r**3/2 - r**2 - 4. Let s(m) be the second derivative of a(m). Find the first derivative of s(i) wrt i. 10*i Let p = -1 + 1. Suppose -d + 1 = -p. What is the first derivative of -2*b - 1 + b - d wrt b? -1 Suppose 2*q + 5*x + 4 = -5, -7 = q + 5*x. Let f be 3*q/3*-1. Differentiate f*u**3 + 5 - 2 - 4 wrt u. 6*u**2 Let p = -110 + 110. Let s(j) be the first derivative of 0*j - 3 + j**3 + 0*j**4 + p*j**2 + 2/5*j**5. What is the third derivative of s(z) wrt z? 48*z Let i = -3 + 5. What is the second derivative of i + a**4 + 1 - 3 + 2*a wrt a? 12*a**2 What is the first derivative of 7*y**2 + 5*y**3 - 18 - 8*y**2 - 3*y**2 + 2*y**2 wrt y? 15*y**2 - 4*y Let o(x) = -x + 9. Let h be o(6). Suppose 8 = g + h*g. Find the second derivative of 2*w + g*w**5 - 5*w + w wrt w. 40*w**3 Let n be ((-1)/5)/((-10)/100). Let a(z) be the second derivative of 3/2*z**n + 2/3*z**3 + 0 + 4*z. Differentiate a(w) with respect to w. 4 Let i(t) be the third derivative of 0 + 1/6*t**3 + 1/20*t**5 - 2*t**2 + 0*t + 0*t**4. Differentiate i(o) with respect to o. 6*o Let s(h) = -h**4 - 2*h**2 - 2*h - 2. Let g(r) = -5*r**2 - 2*r**4 - r - 4 + r**4 - 4*r + 0. Let o(v) = 2*g(v) - 5*s(v). What is the derivative of o(x) wrt x? 12*x**3 Let t(s) be the second derivative of 13*s**6/30 - 25*s**3/6 + 25*s. Find the second derivative of t(h) wrt h. 156*h**2 Let d(c) be the second derivative of 19*c**5/20 + c**4 + 14*c. Find the third derivative of d(u) wrt u. 114 Let h(w) be the second derivative of -w**8/840 + w**6/120 - w**3/2 + w. Let q(k) be the second derivative of h(k). What is the third derivative of q(l) wrt l? -48*l Let b(j) = 28*j + 21. Let m(v) = 27*v + 22. Let i(z) = 4*b(z) - 5*m(z). What is the first derivative of i(g) wrt g? -23 Suppose -2 = t + 4. Let z(s) = s**2 - 8*s + 5. Let v(q) = q**2 - 9*q + 6. Let f(m) = t*z(m) + 5*v(m). What is the second derivative of f(p) wrt p? -2 Suppose -2*y + 35 = 3*y. Find the second derivative of -2*k + k**2 + y*k - 7*k wrt k. 2 Let q(f) = -43*f**2 - 41. Let i(s) = -128*s**2 - 123. Let w(m) = 4*i(m) - 11*q(m). Differentiate w(y) wrt y. -78*y Let k(o) be the second derivative of o**5/20 - o**3/2 - o**2/2 + 4*o. Let j(f) be the first derivative of k(f). What is the derivative of j(d) wrt d? 6*d Let n(i) = 6*i**2 - 3. Let k(l) = l**3 + 5*l**2 - 3. Let r(g) = -6*k(g) + 5*n(g). What is the derivative of r(j) wrt j? -18*j**2 Let f(v) be the third derivative of -v**9/126 + v**5/12 - 7*v**2. What is the third derivative of f(w) wrt w? -480*w**3 Suppose -5*k + 0*k = -k. Let f(w) be the first derivative of 0*w**2 + k*w + 1 + 1/2*w**4 - 1/3*w**3. Find the third derivative of f(j) wrt j. 12 Suppose -5*q + 3*q = -4. Let k be -1 + 4 + -3 + q. Differentiate 0 + y - y + k - 4*y**3 with respect to y. -12*y**2 Let b(y) be the second derivative of y**5/20 + y**2/2 + y. Differentiate b(s) wrt s. 3*s**2 Let f(b) be the second derivative of -2*b**4/3 + b**2/2 + 6*b. Differentiate f(s) wrt s. -16*s Let z(p) be the second derivative of 28*p**6/15 - 7*p**3/2 + p**2/2 + 25*p. Find the second derivative of z(t) wrt t. 672*t**2 Let b(p) = 45*p**2 - 15*p + 55. Let g(k) = 11*k**2 - 4*k + 14. Let s(r) = 4*b(r) - 15*g(r). Find the first derivative of s(a) wrt a. 30*a Let z(l) be the second derivative of 4*l**7/7 + 5*l**4/3 - 12*l. What is the third derivative of z(q) wrt q? 1440*q**2 Let n(y) = y**2 - 3*y - 2. Let z(r) be the second derivative of r**3/6 - r. Let v(j) = -2*n(j) - 6*z(j). Differentiate v(u) with respect to u. -4*u Let w(y) be the third derivative of -y**5/6 - y**3 + 16*y**2. Find the first derivative of w(z) wrt z. -20*z Let l(t) = 3*t**3 - 1. Let s be l(1). Let p(k) = k**3 + k**2. Let i be p(1). Find the third derivative of -3*y**2 - 4*y**2 + 4*y**s + i*y**4 wrt y. 48*y Let n(x) be the first derivative of -18*x**5/5 + 17*x + 23. What is the derivative of n(t) wrt t? -72*t**3 Let p(b) = -b + 6. Let r(n) = -n + 5. Let m(w) = 6*p(w) - 7*r(w). Let s be m(2). Find the first derivative of 0*v**3 + 5*v**3 - 2*v**3 - s wrt v. 9*v**2 Differentiate r + 0 - 7 - 3*r - 9*r with respect to r. -11 Let k be ((-36)/24)/((-1)/2). What is the third derivative of -4*t**3 - t**3 + 6*t**2 + 0*t**k wrt t? -30 Find the third derivative of -8*n - 2*n + 5*n**2 + 10*n + 12*n**3 wrt n. 72 Suppose -3*w + 3 = -12. Find the third derivative of 4*h**2 - 6*h**5 + h - h**w - h wrt h. -420*h**2 Let o(a) be the third derivative of 0*a**3 + 3*a**2 + 0*a - 1/24*a**4 + 0 - 1/60*a**5. What is the second derivative of o(c) wrt c? -2 Let g(a) = -19*a**2 + 13*a. Let z(i) = 19*i**2 - 13*i. Let l(v) = -3*g(v) - 2*z(v). Find the second derivative of l(x) wrt x. 38 Let r(i) be the second derivative of 0 + 1/12*i**4 - 1/20*i**5 + 0*i**2 - 3*i + 0*i**
{ "pile_set_name": "DM Mathematics" }
-2, o in increasing order. -2, 0.4, o Let b = 255 + -259. Sort 147, 0, b in decreasing order. 147, 0, b Let b = 5.9175 + 0.0825. Put 54, -4, b in ascending order. -4, b, 54 Suppose 8 - 5 = 3*w. Suppose 0 = -x + 2*x - 2*z - 15, 3*x = -z + 10. Sort w, -5, x, -4. -5, -4, w, x Suppose 0 = 2*h + d - 6, 2*h + 22 = 7*h - d. Let a(u) = 4*u**2 - 42*u + 23. Let c be a(10). Sort -5, c, h in descending order. h, c, -5 Let h = 2177 + -2179. Let t(g) = g + 1. Let j be t(2). Sort 4, j, h in decreasing order. 4, j, h Suppose 0 = -3*r + 4 + 23. Let q be (4 + -14)/((-8)/16*4). Sort r, -4, 1, q in increasing order. -4, 1, q, r Let r(o) = o**2 + 10*o + 1. Let i be r(-10). Let f = -6/7 + i. Let m be 4/14 - (-4)/(-7). Sort -0.3, f, m in descending order. f, m, -0.3 Let k = 4.54 + -4.44. Sort 1/2, 2/7, k, 2 in increasing order. k, 2/7, 1/2, 2 Let j(w) = w - 1. Let c be j(-3). Suppose 6*l - 17 = -47. Sort -11, 3, l, c in decreasing order. 3, c, l, -11 Let y = 0.1362 + 1.8638. Sort y, 1/5, -8/3, 0.3 in descending order. y, 0.3, 1/5, -8/3 Let c = -463 - -464. Put -3, c, -17, -1 in ascending order. -17, -3, -1, c Suppose -2*j = 5*q + 12, -5 + 21 = j - 3*q. Sort j, -7, -1 in ascending order. -7, -1, j Suppose -3*o - 13*i + 14*i + 11 = 0, 2*o - 4*i = 14. Put o, 1, 5, -2 in descending order. 5, o, 1, -2 Let p = -16 - -21. Let w be 23/(-9)*(31 - 40). Put -3, p, w, -3/2 in decreasing order. w, p, -3/2, -3 Let d(n) = -n**3 + 7*n**2 + n - 3. Let l be d(7). Suppose -3*r + 0 = -9. Put l, 1, r in ascending order. 1, r, l Let i = 722/7 - 3589/35. Sort i, -18, 0.4, -4 in descending order. i, 0.4, -4, -18 Suppose 0 = l + l - 2*t, -6 = 2*l + 4*t. Put 83, l, 0 in decreasing order. 83, 0, l Let q = -186 - -71. Let b = q - -121.1. Let r = b + -6. Sort 3/4, r, 0.2. r, 0.2, 3/4 Let c(v) = v**3 + 15*v**2 + v + 17. Let j be c(-15). Put -0.023, -2/3, j in descending order. j, -0.023, -2/3 Let z be (-6)/(-21) + 10/112. Let a(q) = 15*q - 73. Let i be a(5). Put -1, z, 1, i in decreasing order. i, 1, z, -1 Let r(o) = o**2 - 33*o - 33. Let y be r(34). Put y, -1, 4, 5 in descending order. 5, 4, y, -1 Suppose m + 41 = 28. Let b = 17 + m. Suppose -2*k - 3*r = 8, b*k + 4*r + 4 = 3*k. Sort k, -5, 3 in decreasing order. 3, k, -5 Let a be 10/(4*(-5 - 11/(-2))). Sort 0.3, 3, a, 0.2. 0.2, 0.3, 3, a Let l(r) = 3*r - 10. Let n be l(7). Let w = n - 8. Let z(p) = p**3 - 4*p**2 + 2*p. Let k be z(w). Put 5, 1, k in decreasing order. 5, 1, k Suppose -2*l + 11 = 3. Put -46, -1, -3, l in decreasing order. l, -1, -3, -46 Suppose 17*h - 50 = 1. Sort h, 1, 21. 1, h, 21 Let r = -0.2017 + -2.7983. Suppose -4*x = -0*x. Sort -5, x, r in descending order. x, r, -5 Let o be (-16 - -5) + 19 - 8. Sort -5, -3, o, 4 in decreasing order. 4, o, -3, -5 Let d(l) = 3*l**2 + 5*l - 7. Suppose -w + 6 = -3*w. Let o be d(w). Sort -2, o, 2, -1. -2, -1, 2, o Suppose -116 = -p - 3*p. Let m = p - 30. Sort -5, m, -4 in decreasing order. m, -4, -5 Let n(x) = x**3 + 23*x**2 + 21*x - 18. Let h be n(-22). Let l(a) = a**3 - a**2 + a - 1. Let w be l(0). Put -2, h, w in decreasing order. h, w, -2 Let o = -10.6 - -9.6. Let w be 1/(-16)*(-86)/(-5). Let g = -7/8 - w. Put o, g, -1/4 in ascending order. o, -1/4, g Let k(j) = -2*j + 24. Let v(w) = -3*w + 36. Let u(r) = -8*k(r) + 5*v(r). Let d be u(8). Sort -3, 4, d in increasing order. d, -3, 4 Let u = 0.11 + -0.15. Let o = u + -4.96. Let a = 7 - 7.3. Sort o, a, 5/3. o, a, 5/3 Let i = 1.428 - 1.4. Let r = 4.972 + i. Let x = -5.8 + 0.8. Sort -3, x, r in ascending order. x, -3, r Let y(j) = -j**3 + 5*j**2 - 8*j + 21. Let g be y(4). Sort g, -163, -4, 1. -163, -4, 1, g Suppose 3*q - 6 = q. Suppose -x - 6 = 2*x - 3*i, 4*i = -q*x + 1. Let o be (-1*10)/(x - -3). Sort 1, o, 2 in ascending order. o, 1, 2 Let b = 16 - 11. Let j be (2 - b)/(15/(-20)). Suppose -j*z + z = -9. Sort 1, -1, z in decreasing order. z, 1, -1 Suppose 0*u + 36 = 5*u + f, -f + 29 = 4*u. Let c(z) = 4*z + 0*z - z - 4*z + u - z**2. Let v be c(-5). Sort -5, v, -0.2. v, -5, -0.2 Let i = 1300.9 - 1301. Let f = -0.2 + 1.2. Sort f, i, 1/3. i, 1/3, f Suppose y = 5*r + 33 - 7, 0 = 3*r + 5*y + 10. Suppose 2*n - 5 = -1. Suppose -5*j - n*c = 4 + 5, 3*j - 4*c = -21. Sort 2, r, j in descending order. 2, j, r Let r = 9.76 - 8.76. Suppose 21 = 3*a + 3*z, -5*a - 4*z = -28 - 3. Put 0, a, 2/17, r in descending order. a, r, 2/17, 0 Let p be (-39)/12 + 6/(-8). Let s(u) = u**2 - 2*u - 4. Let d be s(3). Let m = p - d. Sort 0.5, m, -5. -5, m, 0.5 Let f = 734 + -732. Let w(h) = h**3 - 4*h**2 + 3*h. Let l be w(2). Let k be -1 + (1 - l/(-3)). Put f, -2, k in increasing order. -2, k, f Suppose 8*a + 26 = 6*a. Let l = 15 + a. Let c be l - ((-4)/4 - 1). Sort c, 6, -5 in decreasing order. 6, c, -5 Let d = -1283 - -1282. Sort d, 1/9, 1/2, -0.072 in ascending order. d, -0.072, 1/9, 1/2 Let a(d) = -66*d - 189. Let n be a(-3). Put 0, 1, -3, n in ascending order. -3, 0, 1, n Suppose 0*n - 10 = 2*n. Let g be (n/90)/(2/(-6)). Let p = -0.204 + 0.004. Put 0.5, p, g in increasing order. p, g, 0.5 Let b(g) = 2*g - 1. Let z be b(1). Let p = z + 7. Let l be p/16*0/(-1). Sort -5, l, -4 in descending order. l, -4, -5 Let a = 721/3 + -2869/12. Sort 0.1, a, -0.5, 48 in increasing order. -0.5, 0.1, a, 48 Let i = 1.122 + -1.192. Put i, 6, -7 in increasing order. -7, i, 6 Let b = 14.33 + -0.33. Let j = 19 - b. Put 3, j, 4 in increasing order. 3, 4, j Let w be (-2 - 0) + 7 - 1. Let v(l) = l**2 + 4*l - 5. Let m(p) = p**3 - 3*p**2 - 2*p + 2. Let j be m(3). Let t be v(j). Sort w, t, -1 in descending order. w, -1, t Suppose -3*l + c = 10, -5*l + c - 19 + 3 = 0. Put -5, l, -57, 5 in descending order. 5, l, -5, -57 Suppose -3*t + 2*q = -3, 4*t + 4*q = t + 3. Let i be (-48)/12 + (4 - 5). Put t, -4, i in descending order. t, -4, i Suppose 4*f = -0*f + 4*o + 36, 0 = 5*o. Sort 2, f, -2, -1 in increasing order. -2, -1, 2, f Let l be (-2)/24 - (-1)/3. Let n = 12 + -11.8. Put n, 1, l in descending order. 1, l, n Let r = 54 - 704/13. Let d = -59.91 + 60. Put -0.5, d, r in ascending order. -0.5, r, d Let j = -49/65 - -3/5. Sort -0.1, 0.2, j, -13 in decreasing order. 0.2, -0.1, j, -13 Let k(o) = -o**3 + 28*o**2 - 167*o - 31. Let h be k(9). Sort h, -21, 4, 0. -21, 0, 4, h Suppose -23*w + 6*w = 0. Sort 9, 1, w, -1 in increasing order. -1, w, 1, 9 Let h = 93 + -90. Let w = 3 - h. Let x = -115/3 + 39. Sort x, w, 2. w, x, 2 Suppose -49*j + 61*j = 60. Sort -4, -3, j, -18. -18, -4, -3, j Suppose -14*r - 255 = 207. Sort 1, -5, 0, r in decreasing order. 1, 0, -5, r Let f = -496 - -497.4. Let d = -1.9 + 2. Put d, f, 4 in increasing order. d, f, 4 Let x = -12 + 7. Let i(q) = -2*q**3 + 21*q**2 - 21*q - 49. Let j be i(9). Sort j, 6, -3, x. x, -3, j, 6 Let o = 657 - 670. Sort 0.4, 0.01, o. o, 0.01, 0.4 Suppose 0 = -s - 3. Sort 2, -4, s, 0. -4, s, 0, 2 Let p = -850 + 850.02. Sort 1, p, -0.6, -4 in descending order. 1, p, -0.6, -4 Let d = -8 + 7.4. Let u = -3/2687 + -8049/10748. Let z = -4 - -3.7. Sort z, d, u in decreasing order. z, d, u Suppose -4*t - 16*t + 40 = 0. Put 0, t, -5, -2 in ascending order. -5, -2, 0, t Suppose -8 = -288*x + 296*x. Sort -3, x, -12, -4 in ascending order. -12, -4, -3, x Suppose 112 = 109*d - 53*d. Sort 5, 161, -2, d in descending order. 161, 5, d, -2 Let w = 491 + -486. Sort 288, 0.2, w. 0.2, w, 288 Let z = -0.1 + 1.1. Let f = 39 + -38.5. Sort -0.4, z, f in ascending order. -0.4, f, z Suppose -4*a - 2*a = -48. Let g(q) = -q**3 + 7*q**2 + 9*q - 6. Let y be g(a). Suppose y = -m - 3. Put -2, m, 2 in decreasing order. 2, -2, m Suppose -6*g = -3*g + 5*n + 6, 4*g = n + 15. Let y be g*5/(30/4). Suppose -4*m + 30 = y*m. Put -3, m, 3 in decreasing order. m, 3, -3 Let x(q) = q**2 - 2*q - 4. Let b be x(0). Suppose -11*h = -13*h - 6. Put h, b, 2 in ascending order. b, h, 2 Let m = 1.5 - -0.5. Let o be (-4)/(-6) - (-65 + 59 + 704/102). Sort o, -2/19, m in descending order. m, -2/19, o Let j = -352 + 357. Sort j, -1, 0 in ascending order. -1, 0, j Let b = 10436/15663 + 2/5221. Let r = 0.05 + 2.95. Sort r, b, -2/23 in decreasing order. r, b, -2/23 Suppose 0 = 2*y - 3*n + 43 - 16, -2*y - 26 = -2*n. Sort -5, 4, y, -3 in descending order. 4, -3, -5, y Let m be (-25 + 27)*(1 - 2 - 0). Let x(k) = k**2 + 3*k - 3. Let z be x(-3). Put m, z, 1 in ascending order. z, m, 1 Let s = 0 - -0.2. Let k = -0.6 + s. Let y =
{ "pile_set_name": "DM Mathematics" }
.00000007160642 How many seconds are there in seventeen quarters of a hour? 15300 How many grams are there in five eighths of a kilogram? 625 What is 1/10 of a kilogram in grams? 100 Convert 0.0720151 days to hours. 1.7283624 How many hours are there in 45/8 of a day? 135 What is 0.5492345 meters in micrometers? 549234.5 How many millimeters are there in 90162.33 meters? 90162330 How many hours are there in 23/3 of a week? 1288 What is three fifths of a tonne in kilograms? 600 How many millilitres are there in thirty-seven halves of a litre? 18500 What is 18054.9t in micrograms? 18054900000000000 How many months are there in 18/5 of a decade? 432 How many years are there in 0.6120353 decades? 6.120353 How many nanometers are there in five eighths of a micrometer? 625 What is 27/5 of a litre in millilitres? 5400 How many kilograms are there in 21.02576 milligrams? 0.00002102576 How many months are there in 0.211031 millennia? 2532.372 What is 21/5 of a minute in seconds? 252 How many nanometers are there in 37/5 of a micrometer? 7400 What is ten thirds of a millennium in months? 40000 What is 0.3332992ml in litres? 0.0003332992 Convert 350819.721 microseconds to weeks. 0.0000005800590625 Convert 589.87 litres to millilitres. 589870 How many years are there in seventy-two fifths of a decade? 144 How many kilometers are there in 754.41m? 0.75441 What is twenty-nine fifths of a meter in millimeters? 5800 What is 98442.98 days in seconds? 8505473472 How many years are there in 0.3689343 decades? 3.689343 What is 2.48391ug in nanograms? 2483.91 How many microseconds are there in 4004.642s? 4004642000 What is 21/4 of a gram in milligrams? 5250 How many milligrams are there in nine tenths of a gram? 900 Convert 5.872756 nanometers to meters. 0.000000005872756 How many micrometers are there in 11/4 of a millimeter? 2750 What is twenty-nine sixths of a day in hours? 116 What is 187403.16 months in years? 15616.93 What is twenty-five halves of a century in months? 15000 How many millilitres are there in 47/4 of a litre? 11750 What is 3/8 of a litre in millilitres? 375 How many millilitres are there in 13/8 of a litre? 1625 What is 0.4069543 millilitres in litres? 0.0004069543 What is 33/5 of a centimeter in millimeters? 66 What is 3/5 of a milligram in micrograms? 600 What is 3/40 of a milligram in nanograms? 75000 How many millimeters are there in 31/5 of a centimeter? 62 What is 370354.2m in millimeters? 370354200 How many litres are there in 550.2466 millilitres? 0.5502466 How many milligrams are there in 3/50 of a gram? 60 What is 7.766254 millennia in decades? 776.6254 How many minutes are there in thirteen fifths of a day? 3744 What is fourty-two fifths of a hour in minutes? 504 What is 5.992409ml in litres? 0.005992409 What is 0.17608 millilitres in litres? 0.00017608 What is 996.9813 grams in kilograms? 0.9969813 What is 43/4 of a day in minutes? 15480 How many milligrams are there in 4.195871g? 4195.871 How many millilitres are there in 11/8 of a litre? 1375 How many centimeters are there in 8/25 of a kilometer? 32000 How many kilometers are there in 602.7334nm? 0.0000000006027334 What is 3/16 of a millennium in months? 2250 How many micrometers are there in 25/2 of a millimeter? 12500 What is 1/4 of a gram in milligrams? 250 How many centimeters are there in 4.227507 millimeters? 0.4227507 What is 3/40 of a litre in millilitres? 75 How many millimeters are there in 37/2 of a meter? 18500 How many nanograms are there in 16274.46 kilograms? 16274460000000000 What is 5.667701ng in milligrams? 0.000005667701 How many micrograms are there in 6/25 of a milligram? 240 What is 3/40 of a meter in micrometers? 75000 How many nanometers are there in 32.12992 millimeters? 32129920 How many millilitres are there in fifty-seven fifths of a litre? 11400 Convert 12.44462 years to months. 149.33544 What is 5722.196 decades in years? 57221.96 How many nanoseconds are there in twenty-one quarters of a microsecond? 5250 Convert 177.3497nm to kilometers. 0.0000000001773497 What is 1/5 of a millisecond in microseconds? 200 What is 15/4 of a millimeter in micrometers? 3750 Convert 19.51538 milligrams to grams. 0.01951538 What is one twentieth of a day in seconds? 4320 What is 64/3 of a decade in months? 2560 How many hours are there in five eighths of a day? 15 What is 34390.77ng in milligrams? 0.03439077 How many nanometers are there in twenty-nine halves of a micrometer? 14500 What is 87.53216 weeks in days? 612.72512 How many microseconds are there in 0.9814073 weeks? 593555135040 How many nanoseconds are there in 91.26509us? 91265.09 How many millilitres are there in 14944.58l? 14944580 What is 1/80 of a kilometer in centimeters? 1250 How many milligrams are there in 0.7422758 kilograms? 742275.8 What is 5/8 of a tonne in kilograms? 625 How many micrograms are there in 5/4 of a milligram? 1250 Convert 0.7298801mm to meters. 0.0007298801 How many kilograms are there in 656228.7ng? 0.0000006562287 How many months are there in eleven tenths of a decade? 132 How many minutes are there in 2/21 of a week? 960 How many milligrams are there in 2/125 of a gram? 16 How many minutes are there in one tenth of a day? 144 How many grams are there in 9463.093t? 9463093000 What is eleven halves of a millennium in years? 5500 What is 82.04352 kilometers in millimeters? 82043520 Convert 16176.54402 nanoseconds to weeks. 0.00000000002674693125 What is eighteen fifths of a millennium in months? 43200 How many kilograms are there in seven quarters of a tonne? 1750 Convert 81.05965 millennia to months. 972715.8 How many months are there in 33/5 of a millennium? 79200 How many decades are there in 6995.77 years? 699.577 How many millilitres are there in 6/5 of a litre? 1200 How many meters are there in 644965.7mm? 644.9657 How many micrometers are there in 780.3717nm? 0.7803717 How many months are there in 53/5 of a decade? 1272 Convert 7855.899 tonnes to micrograms. 7855899000000000 Convert 565.6714 nanograms to grams. 0.0000005656714 Convert 4296.13l to millilitres. 4296130 How many millilitres are there in 9489.789l? 9489789 What is 7.451521m in centimeters? 745.1521 What is 719874.6l in millilitres? 719874600 What is 87734.76 months in decades? 731.123 What is 3/25 of a litre in millilitres? 120 How many decades are there in eighteen fifths of a millennium? 360 Convert 5.773383 months to centuries. 0.0048111525 How many months are there in five sixths of a century? 1000 Convert 801411.7 minutes to microseconds. 48084702000000 What is 45.921141 minutes in weeks? 0.00455566875 How many micrometers are there in fourty-seven quarters of a millimeter? 11750 What is 29/5 of a millennium in years? 5800 What is seven halves of a litre in millilitres? 3500 How many centuries are there in 2929.658 years? 29.29658 How many nanograms are there in 81.72594 tonnes? 81725940000000000 How many centuries are there in 17/2 of a millennium? 85 Convert 0.0103068ml to litres. 0.0000103068 How many nanograms are there in 0.1337552g? 133755200 What is 5.201332 meters in nanometers? 5201332000 What is 9.862093ml in litres? 0.009862093 What is 28552.37 years in centuries? 285.5237 What is 12.89031 nanometers in millimeters? 0.00001289031 What is 6403.2kg in grams? 6403200 What is 27/5 of a tonne in kilograms? 5400 What is 0.0646614 grams in tonnes? 0.0000000646614 Convert 699.7713 litres to millilitres. 699771.3 What is twenty-five halves of a litre in millilitres? 12500 Convert 2760.546 decades to centuries. 276.0546 What is 0.4187377 millilitres in litres? 0.0004187377 What is three tenths of a milligram in micrograms? 300 How many tonnes are there in 51827.35ug? 0.00000005182735 What is 67/4 of a kilogram in grams? 16750 What is seventeen sixths of a minute in seconds? 170 What is 0.2674532 litres in millilitres? 267.4532 How many minutes are there in six fifths of a hour? 72 What is 3/40 of a tonne in kilograms? 75 What is 51/5 of a microgram in nanograms? 10200 What is 15.2042m in kilometers? 0.0152042 Convert 40346.4 milliseconds to minutes. 0.67244 Convert 523.362 weeks to minutes. 5275488.96 What is 3/5 of a litre in millilitres? 600 How many millimeters are there in 20.1746 meters? 20174.6 Wh
{ "pile_set_name": "DM Mathematics" }
*f, -y + 35 = -c*f + 13. Factor -u**2 + 0*u + 0 - y*u + 4*u - 1. -(u - 1)**2 Let a = 4 + -8. Let i = a + 6. Factor 4 - 1 + 4*x + 2*x**i - 1. 2*(x + 1)**2 Let p(h) be the second derivative of h**7/42 - h**6/6 - h**5/20 + 5*h**4/12 + 18*h. Let p(v) = 0. What is v? -1, 0, 1, 5 Let m(b) = -b**2 + 6*b - 3. Let i be m(4). Suppose 5*c + 14 = 3*h, -i*h - c + 2 = -4*h. Factor 2*v - 5*v**h + 3*v**2 - v**4 - 2*v**4 + 0*v**3 - v**5 + 4*v**3. -v*(v - 1)*(v + 1)**2*(v + 2) Suppose 0 = -9*a - 19*a + 56. Determine o, given that -1/2*o**a - 1/2 + o = 0. 1 Factor 27/5*f**3 + 8/5 + 36/5*f + 54/5*f**2. (3*f + 2)**3/5 Let x(z) be the first derivative of -3*z**4/2 + 8*z**3/3 + 11*z**2/3 + 4*z/3 + 5. Let x(i) = 0. Calculate i. -1/3, 2 Let h(t) be the second derivative of t**6/60 - t**5/40 - 6*t. Factor h(v). v**3*(v - 1)/2 Factor -14/13*m + 12/13 - 6/13*m**2. -2*(m + 3)*(3*m - 2)/13 Let d = -2672/27 - -99. Let p(y) be the second derivative of y - 1/90*y**5 + 0*y**2 - d*y**3 - 1/27*y**4 + 0. Find u, given that p(u) = 0. -1, 0 Find f, given that -6*f**2 + 15*f**3 - 6 - 15*f + 8*f**2 + 4*f**2 = 0. -1, -2/5, 1 Let n(l) be the first derivative of l**7/840 + l**6/360 - 2*l**3 + 4. Let r(p) be the third derivative of n(p). Solve r(f) = 0. -1, 0 Factor 8/5*w - 3/5*w**2 + 3/5. -(w - 3)*(3*w + 1)/5 Factor -q**2 - 1/2*q**5 + 1/2 + 1/2*q**4 + q**3 - 1/2*q. -(q - 1)**3*(q + 1)**2/2 Let s = 1 + 1. Let r(i) = 4*i**2 + 2*i - 2. Let k(n) = -n**2 + n + 1. Let p = -11 - -12. Let x(l) = p*r(l) + s*k(l). Factor x(d). 2*d*(d + 2) Let a(h) be the first derivative of -h**4/10 - 2*h**3/15 + 2*h**2/5 - 9. Factor a(p). -2*p*(p - 1)*(p + 2)/5 Let h(x) = x**5 + 7*x**4 + x**3 + 3. Let b(u) = -u**5 - 13*u**4 - u**3 - 5. Let r(a) = 6*b(a) + 10*h(a). Determine v, given that r(v) = 0. 0, 1 Factor 3/7*u + 0*u**2 - 3/7*u**3 + 0. -3*u*(u - 1)*(u + 1)/7 Let u be (-2)/8 - (-18324)/(-240). Let o = u + 77. Factor -2/5*t + o*t**2 + 0. 2*t*(t - 1)/5 Let h(s) be the third derivative of -s**8/336 - s**7/70 - s**6/120 + s**5/20 + s**4/12 - 18*s**2. Determine g, given that h(g) = 0. -2, -1, 0, 1 Let f be (-2)/9 + (-1833)/(-27). Let v = -67 + f. Factor v*c**5 - 2/3*c**4 + 2/3*c**2 - 2/3*c**3 + 0*c + 0. 2*c**2*(c - 1)**2*(c + 1)/3 Suppose 33*d - 27*d - 12 = 0. Factor -1/3*c - 1/3*c**d + 1/3 + 1/3*c**3. (c - 1)**2*(c + 1)/3 Let i = -9 - 11. Let u be ((-12)/9)/(i/6). What is c in 0*c**2 + 0 + u*c**3 - 2/5*c = 0? -1, 0, 1 Let c(l) be the third derivative of -l**6/30 - 2*l**5/15 + 2*l**2. Factor c(h). -4*h**2*(h + 2) Let z(a) be the first derivative of a**4/4 + 5*a**3/3 - a**2 - 3*a + 5. Let c(h) = h**3 + 6*h**2 - 3*h - 4. Let s(l) = -3*c(l) + 4*z(l). Factor s(x). x*(x + 1)**2 Let h(m) = -2*m + 6. Let z(t) = -t + 3. Let o(a) = 3*h(a) - 5*z(a). Let x be o(0). Factor -2*j**2 + 3*j**2 - j**x + 3*j + 0*j**3 - j**4 - 2*j. -j*(j - 1)*(j + 1)**2 Let t = -27142539 - -45110901191/1662. Let l = t + 2/277. Factor -i**2 - 2/3*i - 1/6*i**4 + l*i**3 + 4/3. -(i - 2)**3*(i + 1)/6 Let i(z) be the third derivative of -1/80*z**5 + 0*z**4 + 0*z + 0*z**3 + 0 + 4*z**2. Solve i(w) = 0. 0 Let u(m) = -5*m**4 - 15*m**3 + 15*m**2 - 10*m - 15. Let o(n) = -n**3 - 1. Let c(q) = 15*o(q) - u(q). Factor c(t). 5*t*(t - 1)**2*(t + 2) Let k(z) be the first derivative of -z**6/33 + z**4/22 - 14. Determine g, given that k(g) = 0. -1, 0, 1 Factor -4/11 - 2/11*w + 2/11*w**2. 2*(w - 2)*(w + 1)/11 Let i be (-5)/(-6) + (-42)/(-63). Factor i*b + 3/2*b**5 + 9*b**3 + 6*b**2 + 0 + 6*b**4. 3*b*(b + 1)**4/2 Let n be -1*(-21)/(-30)*-4. Find f, given that 0*f + 0 - n*f**5 + 4/5*f**4 - 4/5*f**2 + 14/5*f**3 = 0. -1, 0, 2/7, 1 Let q = -73/2 + 37. Factor -1 + 1/2*i + q*i**2. (i - 1)*(i + 2)/2 Let b(h) be the second derivative of 8*h**6/15 - 3*h**5/5 - h**4/3 - 29*h. Factor b(r). 4*r**2*(r - 1)*(4*r + 1) Let o(y) be the first derivative of 2*y**5/5 + 3*y**4 + 8*y**3 + 8*y**2 + 16. Factor o(r). 2*r*(r + 2)**3 Let o(u) be the first derivative of u**5/210 + 2*u**4/21 + 16*u**3/21 - 7*u**2/2 + 2. Let s(n) be the second derivative of o(n). Find r such that s(r) = 0. -4 Let l(j) = j - 5. Let n be l(8). Let d = 3 - n. Suppose -2/5*i**3 - 2/5*i**2 + 2/5*i**4 + 2/5*i + d = 0. Calculate i. -1, 0, 1 Let u be -2 - 0 - (5 - (-553)/(-77)). Factor 2/11*q - 4/11 + u*q**2. 2*(q - 1)*(q + 2)/11 Let d(u) be the third derivative of -u**6/180 + u**5/30 - u**4/12 + u**3/9 - 5*u**2. Factor d(m). -2*(m - 1)**3/3 Let w(m) be the third derivative of -m**8/1680 + m**7/840 + m**6/360 - m**5/120 + m**3/6 - 5*m**2. Let h(f) be the first derivative of w(f). Factor h(j). -j*(j - 1)**2*(j + 1) Let s = 121 - 119. Let h(u) be the second derivative of 0 - 1/8*u**3 - 4*u + 1/4*u**s + 1/80*u**5 + 0*u**4. Factor h(v). (v - 1)**2*(v + 2)/4 Let p(y) be the third derivative of 0*y + 0*y**5 + 0 + 0*y**7 + 1/20*y**6 + 0*y**3 - 1/8*y**4 - 1/112*y**8 - 2*y**2. Factor p(c). -3*c*(c - 1)**2*(c + 1)**2 Factor 14/3*o**2 - 4/3 - 10/3*o. 2*(o - 1)*(7*o + 2)/3 Let f = 527/3 + -165. Factor 6 + f*h**2 + 16*h. 2*(4*h + 3)**2/3 Let x(q) be the second derivative of q**5/5 - 2*q**3 - 4*q**2 + 8*q. Solve x(c) = 0 for c. -1, 2 Let n(o) be the third derivative of o**6/960 + o**5/160 + 4*o**2 + 4*o. Suppose n(y) = 0. Calculate y. -3, 0 Suppose 0 = 562*p - 559*p - 6. Factor 2/5 - 2/5*y**p - y + y**3. (y - 1)*(y + 1)*(5*y - 2)/5 Let w(q) = 2*q**2 + 3*q + 1. Let l be w(-2). Let b(f) = 5*f - 30. Let k be b(7). Factor 3*v - 2*v**3 - k + l*v + 1. -2*(v - 1)**2*(v + 2) Let f(o) = -o + 11. Let h(v) = 1. Let u(n) = f(n) - 3*h(n). Let a be u(6). Factor -k + 0 + k**4 + 2*k**3 + 5*k**a - 2 - 4*k**4 - k**3. -(k - 1)**2*(k + 1)*(3*k + 2) Let q(w) = -10*w**2 + 16*w + 26. Let n(d) = -d**3 - d + 16. Let k be n(0). Let a(m) = 2*m**2 - 3*m - 5. Let s(o) = k*a(o) + 3*q(o). Factor s(t). 2*(t - 1)*(t + 1) Let c = -520 - -522. Suppose -4/11*h - 2/11 + 4/11*h**3 + 2/11*h**c = 0. Calculate h. -1, -1/2, 1 Let k(g) be the second derivative of -3*g**6/20 - 2*g**5/5 + 13*g**4/24 + 4*g**3/3 - g**2 + 2*g. Find f such that k(f) = 0. -2, -1, 2/9, 1 Let a = -5 - -7. Let p(x) be the first derivative of -1/10*x**4 + 2/5*x - 1 - 3/5*x**a + 2/5*x**3. Let p(n) = 0. Calculate n. 1 Let i(p) be the first derivative of 3*p**5/5 + 3*p**4/2 + p**3 + 18. Factor i(h). 3*h**2*(h + 1)**2 Let t(z) be the third derivative of -z**8/1008 + z**7/210 - z**6/180 - 3*z**2. Factor t(f). -f**3*(f - 2)*(f - 1)/3 Let l = 18 - 14. Let d(t) be the first derivative of 0*t**2 + 0*t + 2/21*t**6 - 2 - 1/7*t**l - 2/35*t**5 + 2/21*t**3. Suppose d(f) = 0. What is f? -1, 0, 1/2, 1 Let w(o) be the first derivative of -o**5/40 + 3*o**4/32 - o**3/8 + o**2/16 - 10. Factor w(l). -l*(l - 1)**3/8 Suppose 0 = 4*r - 2*o - 12, r - 4*o - 12 = -4*r. Let n(i) = i**2 - 4*i + 3. Let q be n(3). Solve 2/5*h**2 + 2/5*h**r - 4/5*h**3 + 0 + q*h = 0 for h. 0, 1 Suppose -24 + 228*o**4 - 342*o**2 + 252*o**3 - 280*o**2 + 106*o - 66*o**4 + 126*o = 0. Calculate o. -3, 2/9, 1 Let 5/2*j**2 - 5/6*j**4 - 5/6*j**3 + 5/6*j - 5/3 = 0. What is j? -2, -1, 1 Let l(i) be the second derivative of 0 - 1/30*i**5 - 2*i - 1/3*i**3 - 1/6*i**4 - 1/3*i**2. Factor l(u). -2*(u + 1)**3/3 Factor 1/2*l**2 - 1/2*l**4 - 1/3*l + 0 + 1/6*l**3 + 1/6*l**5. l*(l - 2)*(l - 1)**2*(l + 1)/6 Let -8/3*h**4 + 0*h + h**5 + 2/3*h**2 + 0 + h**3 = 0. What is h? -1/3, 0, 1, 2 Let i(c) be the second derivative of -c**3/6 - 7*c**2/2 - 4*c. Let h be i(-10). Factor 4/3*q**2 - 2/3*q + 0 - 2/3*q**h. -2*q*(q - 1)**2/3 Let w(h) be the second derivative of 5*h**2 + 4*h + 0 + 7/4*h**4 + 3/2*h**3. Let l(i) = 4*i**2 + 2*i + 2. Let v(r) = -11*l(r) + 2*w(r). Factor v(t). -2*(t + 1)**2 Let h = 2461/15 + -164. Let k(d) be the second derivative of -1/30*d**4 + 1/5*d**2 + h*d**3 + 0 - 2*d - 1/50*d**5. Factor k(c). -2*(c - 1)*(c + 1)**2/5 Let b(j) = j**5 - j**3 - j**2 - j - 1. Let n be 9/12*(5 + -1). Let x(h) = h**3 - h**2 - 2*h - 1. Let y(c) = n*x(c) - 3*b(c). Let y(l) = 0. What is l? -1, 0, 1 Let y be (-14)/(-63) + (-1)/(-36). Factor -1/4*c**2 + 0 + 0*c**3 + y*c**4 + 0*c. c**2*(c - 1)*(c + 1)/4 Suppose 2*u - 7*b = -3*b, 0 = -4*u + 4*b. Factor -2/9*m**2 + u - 4/9*m. -2*m*(m + 2)/9 Let o(h) = 3*h**2 - 5*h + 6. Let a be o(5). Let w be 4/10*70/a. Factor 1/2*m**4 + 0*m**2 - w*m**5 + 0*m + 0*m**3 + 0. -m**4*(m - 1)/2 Let j = -10 + 16. Let l = -4 + j. Let 3*v**3 - v**3 - 3*v + 1 + l*v**2 -
{ "pile_set_name": "DM Mathematics" }
+ 54 What is the first derivative of 42042*r**2 - 2*r + 159537 wrt r? 84084*r - 2 What is the third derivative of 4280*c**2*j**3 - 157*c**2 - 97*c*j**2 wrt j? 25680*c**2 Differentiate -8*m*r**3 + 798*m*r + 9*m - 1909703*r**3 wrt m. -8*r**3 + 798*r + 9 Find the third derivative of -2404*a**6 + 7*a**5 - 128386*a**2. -288480*a**3 + 420*a**2 What is the second derivative of 22491*b**2*h**3 + 268*b**2*h*l**2 - 2*b**2*l + 2*b*h**3*l**2 - 5*b*h*l**2 wrt h? 134946*b**2*h + 12*b*h*l**2 Find the second derivative of 127*n*u**3 + 3*n*u + 14*n + 5*u**3 - 529 wrt u. 762*n*u + 30*u Find the third derivative of 55*f**3*t**3*x - 202*f**3*x + 2*f**2*t**2*x**2 - f*x**2 - 179*t**3*x**2 wrt t. 330*f**3*x - 1074*x**2 Find the first derivative of -2*y**4 + 554*y**3 + 25*y**2 + 3*y + 676408 wrt y. -8*y**3 + 1662*y**2 + 50*y + 3 What is the second derivative of -12*w**5 - 107*w**3 - 16*w**2 + 17290*w + 9? -240*w**3 - 642*w - 32 What is the third derivative of c**5 - 11245*c**3 - c**2 - 14556*c + 1 wrt c? 60*c**2 - 67470 Differentiate 12*g**4*w - 30858*g**2*w - 100245*w wrt g. 48*g**3*w - 61716*g*w What is the second derivative of 7574*j**3 + 76*j**2 + 1106*j + 446? 45444*j + 152 What is the second derivative of -3*v**2*x**3 - 2694*v**2*x**2 + 22635*v*x**3 - 6*v*x**2 wrt v? -6*x**3 - 5388*x**2 What is the derivative of 595*h**3 + 2*h**2 - 17*h - 848143? 1785*h**2 + 4*h - 17 What is the second derivative of 162073*t**4 + 19*t - 1776 wrt t? 1944876*t**2 What is the second derivative of l**3 - 105521*l**2 - 38461*l + 2? 6*l - 211042 What is the derivative of -3*o**2*r**2 - 3*o**2*r - 5*o**2 + 12*o + 6899*r**2 wrt o? -6*o*r**2 - 6*o*r - 10*o + 12 Find the third derivative of 34485*m**5 + 300086*m**2. 2069100*m**2 What is the second derivative of 927*o**4 + 11045*o wrt o? 11124*o**2 What is the second derivative of -29581*s**5 + 62021*s - 1 wrt s? -591620*s**3 What is the first derivative of -21476*t**3 - t**2 + 93231 wrt t? -64428*t**2 - 2*t What is the second derivative of -6*g**5 - 2518*g**4*u**2 + 3*g*u**2 + 2473*g*u + 4*u**2 + 1 wrt g? -120*g**3 - 30216*g**2*u**2 Differentiate 38964*t - 124731 with respect to t. 38964 What is the derivative of -n**3*w - 180*n**2 - 5*n*w + 6*n + 8677*w + 1 wrt n? -3*n**2*w - 360*n - 5*w + 6 Find the third derivative of 624358*u**3 + u**2 - 364740*u + 2. 3746148 Find the second derivative of -140422*n*t**5 + 2*n*t**2 - 2*n*t + 92*n - 236*t wrt t. -2808440*n*t**3 + 4*n Find the third derivative of -f*i**4 + 2*f*i**3 - f*i + 1097*i**4 - 2*i**3 - 4101*i**2 wrt i. -24*f*i + 12*f + 26328*i - 12 What is the third derivative of 5*f**6 - 18*f**5 - 198*f**4 - 2*f**2 - 3*f + 9363? 600*f**3 - 1080*f**2 - 4752*f Differentiate -497184*z**3 - 41227 wrt z. -1491552*z**2 What is the third derivative of 23586*m*u**4 - 2*m*u**3 + 45*m*u**2 - 24*m*u + 16*m - u**4 wrt u? 566064*m*u - 12*m - 24*u Find the first derivative of 6771*a**3*z**2 + 2*a**3 - 19*a**2*z - 2*a**2 - 114701 wrt z. 13542*a**3*z - 19*a**2 What is the derivative of -250196*s**4 - s**3 - 259651 wrt s? -1000784*s**3 - 3*s**2 What is the third derivative of -o**6 + 8334*o**4 + 8*o**2 - 2215? -120*o**3 + 200016*o Differentiate -576*g**4 + 4*g - 51262 with respect to g. -2304*g**3 + 4 What is the second derivative of -810412*h*i*r**2 - h*i*r - 12*h*r - 5206 wrt r? -1620824*h*i Find the third derivative of 143498*a**3*h**3 - 36*a**2*h**2 - 56*h**3 + 6*h wrt a. 860988*h**3 What is the first derivative of -77*h**2*s**3 - 2541*h*s**3 - 41161*s**3 - 2*s**2 wrt h? -154*h*s**3 - 2541*s**3 What is the derivative of 2*b**2*y + 66*b**2 + 5*b*y - 11*b + 36*y - 4377 wrt b? 4*b*y + 132*b + 5*y - 11 What is the second derivative of -6*b**3*n*t**2 - b**3 - 853*b*n*t**2 - 109*b*t - 92*n*t + 2 wrt t? -12*b**3*n - 1706*b*n What is the third derivative of -6314*p**4 - 120785*p**2 wrt p? -151536*p Differentiate 45204*v**2 - 55656 wrt v. 90408*v What is the second derivative of 162*c*p**3*z**2 - 13*c*p**3*z - 2*c*p**2 - 362*c + 166*p**3*z**2 + 2*z wrt z? 324*c*p**3 + 332*p**3 Differentiate 1303795*c**2*o - 3100*c**2 - 78*c - 2 with respect to o. 1303795*c**2 What is the second derivative of -640942*s**2 + 194*s - 1228 wrt s? -1281884 What is the second derivative of 1150716*f**3*p**2 + 2*f**3*p - 103*f**3 - 2*f*p**2 + 73*f*p + 3*f - 6 wrt p? 2301432*f**3 - 4*f What is the third derivative of 18*i**6*k - 2*i**4*k**3 + 2*i**3 + 3*i**2*k**3 + 20*i**2*k**2 wrt i? 2160*i**3*k - 48*i*k**3 + 12 Find the second derivative of 43008*x**3 + x**2 - 58889*x - 2. 258048*x + 2 What is the second derivative of -180009*x**2 - 125459*x? -360018 Find the third derivative of -351*n**2*z**3 - 2*n**2*z**2 - 3*n**2*z + 51*n**2 - 63*n*z**2 - 143*z**3 wrt z. -2106*n**2 - 858 What is the third derivative of -2*x**5 - 15260*x**4 - 30*x**3 - 2450*x**2 - 43*x - 2 wrt x? -120*x**2 - 366240*x - 180 What is the second derivative of 13205*f*r**3 - 2574*f*r + 5*r**5 - 6*r + 2 wrt r? 79230*f*r + 100*r**3 What is the second derivative of 9*s**3 - 2631*s**2 + 219*s - 31? 54*s - 5262 What is the second derivative of -64*g**3*l**3*n**2 + 76*g**3*l**3*n - 1282*g**2*l*n - 2292*g*l*n**2 wrt n? -128*g**3*l**3 - 4584*g*l Find the third derivative of 313499*l**6 + 47*l**2 - 124*l. 37619880*l**3 Differentiate -510617*v**2 - 77955 with respect to v. -1021234*v What is the second derivative of -3350565*h**2 + 2162893*h wrt h? -6701130 What is the third derivative of -2*i**5 - 4*i**4 - 18973*i**3 + 342*i**2 + 23*i - 1? -120*i**2 - 96*i - 113838 Find the third derivative of 65114*j**3 + 14*j**2 + j + 1814 wrt j. 390684 What is the second derivative of -318960*j**5 + 78593*j wrt j? -6379200*j**3 Find the second derivative of -251690*n**5 + 429633*n. -5033800*n**3 What is the second derivative of 27690*u**3*v**3 + 18*u**3*v**2 - 2*u*v**3 - 71*u*v**2 - 3*u*v + 2*v wrt u? 166140*u*v**3 + 108*u*v**2 Find the second derivative of -550640*n**2 + 115866*n wrt n. -1101280 Find the second derivative of -151*l**3*o - 9*l**3 + 65*l**2*o + 1286638*l*o - 1 wrt l. -906*l*o - 54*l + 130*o Find the second derivative of -n**4 - 36614*n**3 - 213663*n. -12*n**2 - 219684*n Find the second derivative of 67*x**5 + 16*x**4 - 14*x**2 - 206877*x. 1340*x**3 + 192*x**2 - 28 Find the third derivative of -74496*k*n**4 - 2*k*n**3*o + 18*k*n**2*o - 4*k*n - 35*k*o + k + n**3*o + n*o - 1 wrt n. -1787904*k*n - 12*k*o + 6*o What is the second derivative of 2*f**3 + 1629332*f**2 + 29*f + 21504? 12*f + 3258664 What is the third derivative of -1193*k**3*p**3 - k**3*p - 2583*k**3 - k**2*p**2 - 12*p**3 - p**2 wrt p? -7158*k**3 - 72 Find the third derivative of 261676*k**3 + 182465*k**2 + 2*k wrt k. 1570056 What is the derivative of 5487*j**2 - 32551 wrt j? 10974*j Find the second derivative of -1162*d**2*y**5 - d**2*y + 3*d**2 + 2*d*y - 31*y**5 - 64*y wrt y. -23240*d**2*y**3 - 620*y**3 Find the second derivative of -1168*i**3 + 8*i**2 - 649050*i. -7008*i + 16 Find the third derivative of -350*p**6 + 16*p**3 - 43714*p**2 - 3*p - 2 wrt p. -42000*p**3 + 96 Find the second derivative of -9*m**3*x**3 + 2187*m**3*x - 2*m**3*y - 617*m**2*x**3*y wrt x. -54*m**3*x - 3702*m**2*x*y Find the third derivative of -3*d**4*r*s - 3006*d**4*r - 33*d**3*r + 5*d**2*r - 263*d**2*s - 2*d**2 + 2*d*r*s - 87*d*s wrt d. -72*d*r*s - 72144*d*r - 198*r What is the first derivative of -87224*t**2 + 1393214 wrt t? -174448*t Find the third derivative of i**4 + 5581*i**3 - 780*i**2 - 22 wrt i. 24*i + 33486 Find the second derivative of -969095*r**2 - 129497*r wrt r. -1938190 Find the third derivative of 7*h**3*k**3*o - 67007*h**3*k**2*o - 5*h**2*k**2*o + 2*h**2*o + 45*h*k**3*o - 37*h*k**2 + 2*h*k*o - 2*h wrt h. 42*k**3*o - 402042*k**2*o Differentiate -193307*o**4 + 558000 with respect to o. -773228*o**3 Find the second derivative of 19855*k**4 - 185591*k wrt k. 238260*k**2 Find the third derivative of 104000*u**4 + 2*u**2 - 2*u + 76663. 2496000*u What is the first derivative of -2080744*i**4*r - 37554*r wrt i? -8322976*i**3*r What is the first derivative of -242*a**2*h**3 - 6*a*h**3 + 6*a*h**2 - 257505*h**3 wrt a? -484*a*h**3 - 6*h**3 + 6*h**2 Find the second derivative of -140184*w**2 + 72950*w + 2. -280368 What is the third derivative of -2*r**5 + 4*r**4 + 5850*r**3 + 46936*r**2 - r wrt r? -120*r**2 + 96*r + 35100 Find the secon
{ "pile_set_name": "DM Mathematics" }
*y)/y)/y**(-7))**(2/35) assuming y is positive. y**(8/5) Simplify (((j**12/j)/j)**(11/6))**22 assuming j is positive. j**(1210/3) Simplify k**(11/2)*k/(k**3*k)*(k**(2/13))**(-39) assuming k is positive. k**(-7/2) Simplify (j**(4/11)/(j*j*j/(j/(j/(j**3/j)))))**(-32) assuming j is positive. j**(224/11) Simplify (f/(f/(f*f**(2/5)*f))*f**(-42))**(11/2) assuming f is positive. f**(-1089/5) Simplify ((((x/((x*x**(-3)*x*x)/x)*x)/x)/x)/x**(4/11))/(x**(-3))**(-17) assuming x is positive. x**(-554/11) Simplify (d**2)**(-1/21)*(d/d**(-2/33))/d**(-11) assuming d is positive. d**(2764/231) Simplify (((w*w*w*w**0/w)/w)**(-4)*(w**2)**(2/49))**(-3/19) assuming w is positive. w**(576/931) Simplify a**2/((a**(-1)*a)/a)*(a/a**(1/7))**(-49) assuming a is positive. a**(-39) Simplify x**(1/8)*x/(x**1/x)*(x*x**(-1/8))/(x/(x**(7/5)*x*x)*x) assuming x is positive. x**(17/5) Simplify (q**15/(q/q**13))/(((q**(-24)*q)/q)/q**(-13)) assuming q is positive. q**38 Simplify (c**5*c*c**(-2)*c)/(c**(-2/13)/(c*c**(-6)*c)) assuming c is positive. c**(15/13) Simplify ((b**(2/25)*b**(2/29))/(b**(1/6)/b**9))**(2/53) assuming b is positive. b**(39073/115275) Simplify d**(-2/15)/d*d*d**6*d/d**5*d**14 assuming d is positive. d**(238/15) Simplify (g**(-2)/g)**40/(g**(-4)*g)**29 assuming g is positive. g**(-33) Simplify (v*v/(v*v**(2/19)))/(v*v*v*v*v**(2/13))*(v**0)**(-3/8) assuming v is positive. v**(-805/247) Simplify (r**(-2/13))**(-9/8)*r**13*r*r/((r*r**(3/7)*r)/r*r*r) assuming r is positive. r**(4275/364) Simplify ((m/(m**23*m*m))/(m**19*m))**(-3) assuming m is positive. m**132 Simplify (n**(1/2))**(1/16)/(n**(11/2)*n/n**(-1/19)) assuming n is positive. n**(-3965/608) Simplify (((r**(-2))**(1/3))**(-14/9))**29 assuming r is positive. r**(812/27) Simplify (z*z*z/z**(-1)*z)**(-9)*(z**(-4))**(-27) assuming z is positive. z**63 Simplify ((u/(u*u*u**32*u)*u)/u*u/u**(-19))/((u*u*u*(u/u**27*u)/u*u)/u**0) assuming u is positive. u**8 Simplify ((i*(i/i**12)/i*i)**40)**(-18) assuming i is positive. i**7200 Simplify (a/a**4)/(a*a/(((a/a**(3/4))/a)/a))*(a/a**(2/3)*a)/a**(-14) assuming a is positive. a**(103/12) Simplify ((w**(-3/11)/(w*w**(-7)*w))/((w*w**7/w)/(w/w**(1/2))))**(-10/7) assuming w is positive. w**(195/77) Simplify f**(1/6)*f*f/(f/f**(-2/25))*f*f/f**(1/9)*f*f/f**(-6) assuming f is positive. f**(4939/450) Simplify k*k*k/k**(-28)*k*k**(2/47)*k*k**(-6/23)/(k*k**(-4/9)/k) assuming k is positive. k**(323257/9729) Simplify (m/(m/(m**(-5/13)*m))*m**(-4)/m*m)/(m**(-7/4)/(m*m*(m*m**(-2/57)*m)/m*m)) assuming m is positive. m**(6907/2964) Simplify (n**(12/7)/n*n*n**(-20)*n*n*n*n)/(n**(1/5)*n*(n*(n**(1/8)*n)/n*n)/n) assuming n is positive. n**(-4651/280) Simplify (((s*s**3*s)/s**(5/2))/(s**(-3)*s/(s**(5/6)/s*s)*s*s*s))**5 assuming s is positive. s**(35/3) Simplify (s/(s/(s/(s*s**(-5/3)*s)))*(s/s**(1/20)*s)/s)**(1/37) assuming s is positive. s**(97/2220) Simplify ((p**3)**2*((p*p/(p*p/p**(-1/3)))/p)/p*p*p**5)**3 assuming p is positive. p**29 Simplify (r/(r/(r/r**(-3)))*r*r**(-1/6)*(r/(r*(r*r/r**(2/7)*r)/r))**(4/9))**(-1/7) assuming r is positive. r**(-57/98) Simplify i**16*i**17*(i*i**(5/4)*i)/i**(2/21) assuming i is positive. i**(3037/84) Simplify (((a/(a**(-5)*a))/a**1)/(a**(-2/15)/(a*(a*a**6*a)/a*a)))**(-2/27) assuming a is positive. a**(-394/405) Simplify t**(1/26)*t*(t**9*t)/t*(t**(-15)*t)**(-14) assuming t is positive. t**(5357/26) Simplify ((q*q*q**(-14)*q)/q**6*q**(-2/11)*q/(q/q**(1/2)))**22 assuming q is positive. q**(-367) Simplify ((c**(1/3))**(-23/4)/(c/(c/(c*c/(c/(c**(-1/4)*c)*c)*c)*c)*c**(1/2)*c))**(-27) assuming c is positive. c**(225/2) Simplify (o**(-2/5))**(-3)/(o**(-9)*o**2*o) assuming o is positive. o**(36/5) Simplify (l*l*l**(6/7))**(2/77)/(l**(2/15))**21 assuming l is positive. l**(-7346/2695) Simplify (((c*c*c**(1/3))/c*c/c**(-4))**(-7))**15 assuming c is positive. c**(-665) Simplify (q/q**(-5)*q**(1/2)/q*(q**0)**21)**(-7/2) assuming q is positive. q**(-77/4) Simplify (o**(14/5)/((o/(o*o**(-14)))/o*o))/(o**(1/20)/(o/(o**5*o))) assuming o is positive. o**(-65/4) Simplify b**(-11)/(b/(b*b/b**(-3/26)*b))*(b**(-2/5))**(-44) assuming b is positive. b**(1133/130) Simplify (i**(-1/4)*i)**33*((i/(i**14*i))/i)/(i*i**(-14)) assuming i is positive. i**(91/4) Simplify (t**4*t*t**(-2/3)/t*t*t)/(t/t**(-9)*t*t/(t*t**(-1/12))) assuming t is positive. t**(-23/4) Simplify (f**(-1)/f**(2/13)*(f*f**(-6))/((f/(f/f**(-4)))/f))**(4/9) assuming f is positive. f**(-20/39) Simplify ((z/(z*z**(2/65)))/z*z*z**(2/5))/(z/(z*z*z/(z**(-5/2)*z)*z*z)*z*z*z/((((z/z**(7/5))/z)/z)/z)) assuming z is positive. z**(-69/130) Simplify ((((t*t**(-1)/t)/t)/(t/((t/(t/(t**(-13)/t)))/t)))**(-23/4))**37 assuming t is positive. t**(7659/2) Simplify (l**(-2/3))**(1/7)/(l**(2/3)*l**(8/5)) assuming l is positive. l**(-248/105) Simplify ((q*(q/(q/(q**(-17)*q)))/q)/q**(2/7))/(q**(5/4)*q**(-25)) assuming q is positive. q**(209/28) Simplify (i/i**(-1))**(-2/97)*(i**(-2/11)/i)**(-3) assuming i is positive. i**(3739/1067) Simplify ((m*m*m**0)/((m/(m/((m*m**(2/5))/m*m)))/m)*m**(-7)*m**(2/5))**(32/5) assuming m is positive. m**(-32) Simplify ((v**(-28)*v*v*v*v*v)/v**(-26))/((v*v**(-19)*v)/(v/(v/((((v/((v/(v*(v*v*v**(-22)*v)/v))/v))/v*v)/v*v*v)/v)))) assuming v is positive. v**2 Simplify (n*n/(n/n**7)*n)/(n*n/((n*n*n*n/n**(-1))/n))*(n*n*n**(-2/3))**(37/2) assuming n is positive. n**(107/3) Simplify (q*q**(-7))/q**(-5)*(q**8/q)**(1/7) assuming q is positive. 1 Simplify ((l/l**(1/16))/l**(-1))/(l*(l**(27/2)/l)/l*l**(13/3)/l*l) assuming l is positive. l**(-715/48) Simplify (q/q**(1/3))/(q/(q*q**(-18)*q))*q**17/(q*q**(1/21)) assuming q is positive. q**(-8/21) Simplify (((s*s*s**12/s*s)/((s**(-8)/s*s)/s*s*s))/(s*s/(s**(-1)/s)*(s/(s*s*s**(-1/14)/s*s*s*s)*s*s)/s*s))**(-17) assuming s is positive. s**(-4267/14) Simplify ((n/(n*n**(-8/15)))/n*n)/(n/(n**(18/7)*n)*n)*(n/(n*n*(n*(n/n**18)/n*n)/n))/n*n*n**(2/13) assuming n is positive. n**(24923/1365) Simplify p**4/p*p**(-4)*p*p*p/(p*p**(-16)/p)*p*p**7 assuming p is positive. p**26 Simplify ((o**(4/7))**(-49))**(-2/55) assuming o is positive. o**(56/55) Simplify ((n/(n/(n/((n/((n/n**1)/n))/n))))**29*(n**(3/7)*n)/(n*n**0))**(-50) assuming n is positive. n**(-150/7) Simplify (d*d*d/((d**(-1/9)*d)/d))**22/(d**13/d**(-1/19)) assuming d is positive. d**(9472/171) Simplify d**(6/11)/(d*d**(-3/10)/d)*d/(d**(-3/7)/d)*d**(-3/2) assuming d is positive. d**(683/385) Simplify (l/(l*l**26/l))/l*l**1*l*l*l**(-18)*l*(l/(l**(-2/39)*l))/l assuming l is positive. l**(-1597/39) Simplify (a/a**(-4)*a*a*a**(-2/13))/((a/a**(2/17))/(a**(-3/7)*a)) assuming a is positive. a**(10110/1547) Simplify ((r**(1/3)/r)**50/((r*r*(r/(r**1*r*r))/r*r)/r**(-4/5)))**(-23) assuming r is positive. r**(11776/15) Simplify ((f**3*f**3/f)/((f*f**0)/f**4))**(-48) assuming f is positive. f**(-384) Simplify t*t**(-11/2)*t**25*(t/t**30)/(t*((((t/t**(-14))/t)/t)/t)/t) assuming t is positive. t**(-41/2) Simplify ((d*d/(d/(d/(d*d/d**17)))*d)/d*(d*d**(-1/16))/d)/(d**(4/7)*d*d/(d**(2/3)/d)*d*d) assuming d is positive. d**(4043/336) Simplify (y/(y/(y*y/((y/(y**(2/3)*y))/y)*y)))**(7/6)*y**(-4/9)*y/(y*y**0) assuming y is positive. y**5 Simplify ((((k*k**(-3/8)*k)/k)**6)**(2/13))**(-44/5) assuming k is positive. k**(-66/13) Simplify ((o*o**(-13/3)*o*o)/o*o*(o/o**30*o*o)/o)/((o/(o*o**(-20)/o))/o**5) assuming o is positive. o**(-136/3) Simplify ((q/((q*q/((q**1*q)/q*q)*q)/q))/q)/(q/q**22)*(q**(1/14))**1 assuming q is positive. q**(295/14) Simplify i/(i/i**(-2/3))*i**(-1/24)*i**(-8)*(i*i/i**(-15/7))/i assuming i is positive. i**(-935/168) Simplify (((w**4*w)/w*w/((w**(-2/15)/w)/w))**(-31))**(-1/5) assuming w is positive. w**(3317/75) Simplify (((j/j**17)/j**0)**(2/97))**(-27/2) assuming j is positive. j**(432/97) Simplify ((((j/(j*j/((j/((j/j**(-1))/j))/j)))/j)**22)**(-18))**37 assuming j is positive. j**43956 Simplify (v**(-6/11)*v*v**(-19))/(v/((v/(v/(v/(v/(v**(2/49)*v*v)))))/v)*v**1/v) assuming v is positive. v**(-9974/539) Simplify ((w**(2/31))**(-4/29))**21 assuming w is positive. w**(-168/899) Simplify (p/(p**(-14)/p)*p**(-1/17))**(11/8) assuming p is positive. p**(2981/136) Simplify (s**12)**(-11)/(s**(-20)/s**(-2/3)) assuming s is positive. s**(-338/3) Simplify ((((c*(c/c**(-25/4))/c)/c)/c*c/(c*c**(-6/5)))**(-2/13))**27 assuming c is positive
{ "pile_set_name": "DM Mathematics" }
0*i + 5/6*i**3 + 1/108*i**4 - 5*i**2 + 1/1620*i**6 + 0 + 1/270*i**5. Let w(y) be the first derivative of k(y). Factor w(a). 2*(a + 1)**2/9 Let b be (2 + 11/((-22)/4))/3. Let x be (-2)/1 - (-1 - 1). Factor -3/4*m**4 + 3/4*m**2 + 0 + b*m + x*m**3. -3*m**2*(m - 1)*(m + 1)/4 Factor 12/5*o**4 + 0*o**2 - 3*o**3 + 0*o + 0 + 3/5*o**5. 3*o**3*(o - 1)*(o + 5)/5 Let q(r) = 3 + r - 1 + r. Let f be q(0). Factor -6 + 2*l**f - 2*l**4 - l + 6 + l**5. l*(l - 1)**3*(l + 1) Let v(h) = -11*h**2 + 594*h + 29410. Let n(g) = 3*g**2 - 198*g - 9803. Let f(m) = -7*n(m) - 2*v(m). Find r, given that f(r) = 0. -99 Let n be 4/(-8)*(-5)/(-45)*0. Let a(j) be the third derivative of 1/7*j**3 + 23/168*j**4 + n*j + 0 - 9*j**2 + 1/60*j**5. Factor a(w). (w + 3)*(7*w + 2)/7 Let c(x) be the second derivative of -25*x**4/12 - 5*x**3/2 + 5*x**2 - 384*x. Factor c(a). -5*(a + 1)*(5*a - 2) Suppose -15 = 3*v - 0*i - 3*i, -5*v - 4*i = -11. Let y = v + 4. Solve 0*b**2 - 2*b - 3*b**2 + 6*b**2 - b**y + 0*b**3 = 0. 0, 1, 2 Let n(y) be the second derivative of -y**7/1260 + y**6/180 - y**4/2 - 2*y**2 + 4*y - 3. Let p(s) be the third derivative of n(s). Suppose p(j) = 0. Calculate j. 0, 2 Let g(b) be the third derivative of -b**8/420 + 2*b**7/75 - 2*b**6/75 - 44*b**5/75 + 16*b**4/15 + 128*b**3/15 + 9*b**2 + 9*b. Find r, given that g(r) = 0. -2, -1, 2, 4 Let p(f) be the second derivative of f**4/2 + 6*f**3 + 43*f**2/2 + 33*f. Let i(u) = 9*u**2 + 54*u + 64. Let c(y) = 5*i(y) - 8*p(y). Let c(q) = 0. What is q? -4, -2 What is h in 16/9 + 10/9*h**2 - 28/9*h = 0? 4/5, 2 Factor 0*o + 0 + 2/3*o**2 - 2/9*o**3. -2*o**2*(o - 3)/9 Factor -4956*v - 4194*v**4 - 4196*v**4 + 1268*v**2 + 3528 + 8394*v**4 + 156*v**3. 4*(v - 2)*(v - 1)*(v + 21)**2 Factor 4608/7 - 88/7*n**3 + 776/7*n**2 + 4224/7*n + 2/7*n**4. 2*(n - 24)**2*(n + 2)**2/7 Let m be 4/30 + (-4)/(-360)*33. What is r in 0 + 1/2*r**3 - 1/4*r**4 - m*r + 1/4*r**2 = 0? -1, 0, 1, 2 Let r = -3259 + 3261. Suppose 3/7*p**3 + 3/7*p + 6/7*p**r + 0 = 0. What is p? -1, 0 Let u be 1/(-30*5/(-60)). Solve u*p - 2/5*p**2 + 0 = 0 for p. 0, 1 Let r(i) = 5*i - 5*i + 16 - i**2 + 2 - 7*i. Let u be r(-9). Factor 0 + 4/5*g**2 + u*g + 12/5*g**4 + 12/5*g**3 + 4/5*g**5. 4*g**2*(g + 1)**3/5 Let l(t) = -t**4 - t**3 - 16*t**2 - 4*t + 48. Let r(w) = -w**4 - w**3. Let o(i) = 5*l(i) - 10*r(i). Let o(m) = 0. What is m? -4, -2, 2, 3 Let q be (3/2)/(6/16). Let i = -97/7 - -15. Suppose 0 - i*p**3 - 4/7*p**q + 8/7*p + 4/7*p**2 = 0. What is p? -2, -1, 0, 1 Let q(s) be the third derivative of -s**5/20 - s**4 - 15*s**3/2 - s**2 + 18*s. Determine c so that q(c) = 0. -5, -3 Suppose -8/3*k**3 + 28/15*k**2 + 38/5 + 2/15*k**4 + 184/15*k = 0. Calculate k. -1, 3, 19 Let w(q) be the first derivative of -q**5/5 + 3*q**4/2 - 3*q**3 + 2*q**2 + 358. Factor w(a). -a*(a - 4)*(a - 1)**2 Let a(y) = 155*y**2 + 4570*y - 70. Let r(s) = -9*s**2 - 269*s + 4. Let l(g) = 2*a(g) + 35*r(g). Factor l(k). -5*k*(k + 55) Let d(l) be the third derivative of 0*l**5 + l**2 + 0*l**3 + 0*l + 1/96*l**4 - 1/480*l**6 + 0. Suppose d(f) = 0. Calculate f. -1, 0, 1 Factor -4*t + 2/3*t**4 + 0 + 4*t**3 - 2/3*t**2. 2*t*(t - 1)*(t + 1)*(t + 6)/3 Let a be 2*((-18)/4)/(-3). Let u = 402 - 398. Find r, given that 6*r**a + 3*r**4 + 0*r**4 + 0*r**4 - r**u + 2*r + 6*r**2 = 0. -1, 0 Suppose 0*t - 8/5 + 6/5*t**2 + 2/5*t**3 = 0. What is t? -2, 1 Suppose 0 = -2*j + 6*j + 8. Let k be (-6)/(-33) + 51/22 + j. Let -1/2*x**2 + 1/2*x**3 + 0*x + 1/2*x**4 - k*x**5 + 0 = 0. What is x? -1, 0, 1 Let m = 2633 - 5263/2. Let o(s) be the second derivative of -3/4*s**4 - 3/2*s**2 + 8*s + 0 + 3/20*s**5 + m*s**3. Let o(y) = 0. What is y? 1 What is d in -1/5*d**2 + 26/5*d - 5 = 0? 1, 25 Let m(c) = -10*c**4 + 13*c**3 + 33*c**2 - 50*c - 115. Let h(y) = -3*y**4 + 4*y**3 + 11*y**2 - 16*y - 38. Let w(x) = 7*h(x) - 2*m(x). Factor w(z). -(z - 3)**2*(z + 2)**2 Let -14*c + 96/7 + 2/7*c**2 = 0. What is c? 1, 48 Let o = 1695 + -15247/9. Suppose o - 2/9*t**3 + 4/9*t**2 + 14/9*t = 0. Calculate t. -1, 4 Let b(w) be the first derivative of 3*w**5/5 - 89*w**4/4 + 643*w**3/3 + 285*w**2/2 - 450*w + 41. Factor b(h). (h - 15)**2*(h + 1)*(3*h - 2) Let d(h) = h - 5. Let u be d(10). Factor 8*z - 13*z - 10*z**4 - 15*z**3 - 9*z - 6*z + u*z**5 + 40*z**2. 5*z*(z - 2)*(z - 1)**2*(z + 2) Let k be (-2)/((-3)/(-2)*(-68)/51). Let n be (-26)/130*(-1)/k. Let -2/5*h**2 - 1/5*h**3 - n*h + 0 = 0. Calculate h. -1, 0 Let t(h) be the second derivative of -h**5/30 - h**4/9 + h**3/9 + 2*h**2/3 - 2*h + 13. Factor t(n). -2*(n - 1)*(n + 1)*(n + 2)/3 Let b(a) = -6*a - 3. Let t be b(3). Let u = 27 + t. Solve 6*v**2 + 9*v**2 - 2*v**3 - 9*v**2 - 2*v + 4*v**5 - u*v**4 = 0 for v. -1, 0, 1/2, 1 Let f(q) be the second derivative of -q**4/30 - 22*q**3/15 - 21*q**2/5 + 2*q + 32. Factor f(v). -2*(v + 1)*(v + 21)/5 Suppose 0 = 4*c + 20, 0*z = z + 4*c + 14. Suppose 5*b = 2*b + z. Factor 0 + 1/4*s**b - 1/4*s. s*(s - 1)/4 Find z such that -375*z**4 - 210*z + 647*z**3 + 479*z**3 + 35*z**5 - 151*z**3 - 425*z**2 = 0. -2/7, 0, 1, 3, 7 Suppose -2*d - 2*l + 12 = -0*l, -2*d + 5*l = 9. Suppose -d*q - q + 17 = -3*c, -q - c = 1. Factor 2 + 40*r**3 - 41*r**3 - 2 - 2*r**q. -r**2*(r + 2) Suppose 32*y = 122 + 6. Let q(c) be the third derivative of 1/210*c**5 - y*c**2 + 0*c**4 + 0 + 0*c**3 + 0*c. Suppose q(s) = 0. What is s? 0 Determine k, given that -98/5*k**5 + 6*k + 68/5*k**3 + 2/5 - 126/5*k**4 + 124/5*k**2 = 0. -1, -1/7, 1 Let z(y) be the third derivative of 0*y**3 + 0*y - 1/280*y**7 + 0*y**4 + 0 + 1/160*y**6 + 1/40*y**5 - 16*y**2. Suppose z(u) = 0. Calculate u. -1, 0, 2 Suppose -3*q + 172 + 32 = 0. What is k in 10*k**3 - 68*k + q*k - 15*k**4 + 5*k**5 = 0? 0, 1, 2 Let f(j) be the first derivative of -5*j**3/3 - 375*j**2 - 28125*j + 66. Find l, given that f(l) = 0. -75 Suppose -3*j + 55 = 4*w + 11, -13 = -j - w. Suppose -g - j + 10 = 0. Factor -4/5*y - g*y**2 + 0. -2*y*(5*y + 2)/5 Let k(m) = 9*m**2 + 97*m + 79. Let t be k(-10). Factor 15/7*v**4 + t*v**2 - 33/7*v - 51/7*v**3 + 6/7. 3*(v - 1)**3*(5*v - 2)/7 Let o(y) be the third derivative of -y**9/1890 + y**8/1260 - y**7/2520 - y**5/15 - 17*y**2. Let w(x) be the third derivative of o(x). Factor w(j). -2*j*(4*j - 1)**2 Let j be (85/85)/((-2)/(-1)). Find n, given that 1/2*n + 1 - j*n**2 = 0. -1, 2 Let i be (-10)/(-6) - (28/(-12))/7. Let t(d) be the first derivative of -5 - 2*d**i + 1/3*d**3 + 4*d. Factor t(m). (m - 2)**2 Let d(j) = 139*j**3 - 540*j**2 + 720*j - 312. Let n(f) = f**3 + 2. Let c(v) = d(v) - 4*n(v). Determine p, given that c(p) = 0. 4/3 Let b = 13 - 13. Suppose 0*m - 4*m + 12 = b. Factor -26*s + 8*s**m + 4*s**3 + 10*s - 16*s**2 + 8*s**4 - 4*s**5. -4*s*(s - 2)**2*(s + 1)**2 Determine s so that 15/4 - 9/2*s**3 - 3/4*s**4 + 9/2*s - 3*s**2 = 0. -5, -1, 1 Let a(n) be the first derivative of -n**6/24 + n**5/24 - 13*n**3/3 + 10. Let j(m) be the third derivative of a(m). Factor j(o). -5*o*(3*o - 1) Let i(x) be the first derivative of 0*x**4 + 0*x**2 - 2 - 2/15*x**5 - 2/3*x + 4/9*x**3. Find l such that i(l) = 0. -1, 1 Let s(h) = 2*h**3 + 48*h**2 + 132*h + 79. Let v(a) = -16*a**2 - 44*a - 26. Let o(n) = -2*s(n) - 7*v(n). Factor o(f). -4*(f - 6)*(f + 1)**2 Let b be 918/(-204) - 26/(-4). Factor -3/2 - 1/2*n**2 - b*n. -(n + 1)*(n + 3)/2 Let z = -3300 - -9902/3. Solve 4/3 - 2*p**3 - 2/3*p**4 + 2*p - z*p**2 = 0 for p. -2, -1, 1 Suppose 0 - 20/3*q + 22/3*q**2 - 2/3*q**3 = 0. What is q? 0, 1, 10 Suppose -5*m**5 - 121*m**4 - 1364*m + 2*m**5 + 0*m**5 + 67*m**4 - 330*m**3 + 545*m - 804*m**2 - 294 = 0. Calculate m. -7, -2, -1 Let b be (4998/(-150))/7 + 5. Let w(c) be the first derivative of 0*c**2 - b*c**5 + 0*c - 3/5*c**6 + 8/15*c**3 - 3 + 4/5*c**4. Factor w(x). -2*x**2*(x - 1)*(3*x + 2)**2/5 Let r(u) = -9*u**3 - 3*u**2 - 6*u + 6. Let p(g) be the third derivative of -g**6/120 + g**5/60 + g**3/6 - 7*g**2. Let q(t) = -6*p(t) + r(t). Factor q(c). -3*c*(c + 1)*(c + 2) Let j = -19238/5 - -3848. Solve 0 - j*s**2 + 0*s = 0 for s. 0 Let a(v) be the second derivative of 1/6*v**3 + 0*v**2 - 1/80*v**5 + 0*v**4 + 41*v + 0. Solve a(s) = 0. -2, 0, 2 Let p(r) be the second derivative of r**4/9 + 7*r**3/2 - 8*r**2/3 + 765*r. Factor p(t). (t + 16)*(4*t - 1)/3 Let p(a) be the first derivative of a**4/78 + 5*a**3/39 - 9*a - 2. Let z(v) be the first derivative of p(v). Factor z(q). 2*q*(q + 5)/13 Let a be (4 + 2
{ "pile_set_name": "DM Mathematics" }
2/47? True Is -713 at least as big as -711? False Which is smaller: -43.9 or -1/2? -43.9 Which is bigger: 4795 or 4796? 4796 Which is smaller: -2580 or 1? -2580 Which is smaller: -3.386 or -4? -4 Which is smaller: -1233 or -1234? -1234 Which is smaller: 78 or 6? 6 Does 2/145 = 0? False Is 33/5 at least as big as 6? True Is 1 less than -17/1402? False Is 151 at least as big as 201? False Are -231 and -228 unequal? True Are 26 and 2/131 equal? False Which is bigger: -334/209 or -2? -334/209 Which is greater: -205 or -203? -203 Is -365 != -368? True Which is greater: -1306/3 or -434? -434 Which is smaller: -3/97 or 0? -3/97 Is -11795 at most -11794? True Which is bigger: 0.066 or 1/30? 0.066 Are 4890 and 4890 nonequal? False Which is smaller: 10615 or 53073/5? 53073/5 Is 9 at least as big as -3? True Which is smaller: 46 or 39? 39 Is -422 less than or equal to 11? True Is 10 less than or equal to 5? False Do 17/3 and 6 have the same value? False Which is bigger: 373 or 375? 375 Is -1 less than or equal to 16/2631? True Are 783 and 784 nonequal? True Are -8364 and -8364 non-equal? False Is 0.151 >= -0.2? True Which is greater: 4/1267 or -1? 4/1267 Which is smaller: 83 or 587/7? 83 Do -808 and -807 have the same value? False Which is smaller: -331/38 or -10? -10 Is -148 >= -146? False Which is bigger: -111 or -119? -111 Is -1525 greater than or equal to -1523? False Does 4.5 = -0.2? False Is -1838 at most -0.1? True Which is greater: 2 or 587? 587 Is 5 bigger than 41/7? False Which is smaller: 5/13 or -0.3? -0.3 Does -343 = -345? False Which is smaller: 2/4721 or 0? 0 Which is smaller: 0.2 or 1836? 0.2 Which is smaller: 2/117 or 0.3? 2/117 Is 19863 > -2/9? True Which is greater: -165/2 or -1? -1 Is 0 smaller than -1/284? False Is -36 equal to -0.4? False Is 5265 >= 5269? False Which is smaller: 10 or 46/33? 46/33 Do -4 and -104 have the same value? False Which is greater: -2 or 28? 28 Is 3 greater than or equal to 27/8? False Is 1681/2 >= 840? True Is 49 != 49? False Which is smaller: 5 or 7? 5 Which is smaller: -212 or -1481/7? -212 Is -0.1 less than 1/79? True Which is smaller: -666 or -1994/3? -666 Is -9 smaller than 0.753? True Is 0 != -58/53? True Which is greater: 124 or 127? 127 Which is smaller: 7 or -72? -72 Is 40 bigger than 40? False Which is smaller: -642 or -668? -668 Which is greater: 1 or 107/49? 107/49 Which is greater: -0.1 or -42/5? -0.1 Is -288 less than -282? True Which is smaller: 15 or -127? -127 Which is bigger: -104 or -105? -104 Which is bigger: -1 or -5/1288? -5/1288 Is 1 greater than -2/769? True Which is greater: 2/5 or -691? 2/5 Is -189 greater than -188? False Which is smaller: -378/17 or -21? -378/17 Is -287 greater than or equal to -288? True Which is bigger: -47 or -28? -28 Is 5 smaller than 154? True Is 293 smaller than 2046/7? False Is 2/12065 at most -1? False Is 1 greater than or equal to -7/757? True Is -6.04 less than -0.1? True Is 2 > 41/3? False Which is greater: 568 or 567? 568 Which is greater: 2/1673 or 0? 2/1673 Is 76 smaller than 128? True Is 1 <= -3/538? False Are -55/71 and -2 equal? False Is 1 >= -1/140? True Which is smaller: -14546 or -14544? -14546 Is 739 != 736? True Which is smaller: 18 or 3? 3 Is 645 bigger than 644? True Is -154/67 > -3? True Which is greater: 6814/5 or 1364? 1364 Is 0 >= -1/116? True Is -1566 > -1563? False Which is smaller: 1/2 or -0.0469? -0.0469 Which is bigger: 569 or 570? 570 Is -10/533 bigger than 0? False Which is smaller: -124/17 or -6? -124/17 Are -97 and -1079/11 non-equal? True Which is greater: -60 or -6? -6 Is -608 != -610? True Which is bigger: 0.05 or 307/3? 307/3 Is -34/41 smaller than 0? True Which is bigger: -20/1801 or 0? 0 Do -2/79301 and -1 have different values? True Which is greater: 2/9 or -952? 2/9 Which is smaller: 1.5 or 212? 1.5 Does -1 = -20/33? False Which is smaller: -0.1 or 10? -0.1 Is 11722/5 greater than or equal to -0.2? True Which is smaller: -58 or -465/8? -465/8 Is -350 not equal to -350? False Are 0.3 and 1.77 non-equal? True Does -286 = -1428/5? False Is 2/17 != -1.88? True Which is smaller: 1 or 2/821? 2/821 Which is smaller: -3/26 or -1? -1 Which is smaller: 0.1 or 994? 0.1 Which is smaller: 847 or 844? 844 Is 624 < -0.2? False Are -64 and -64 non-equal? False Which is smaller: -66 or -68? -68 Is -1 at most as big as 0? True Is -1075 equal to 8? False Which is greater: 50 or 70? 70 Is -1/10 less than 637? True Do 1248 and 1248 have the same value? True Are -2/701 and -1 non-equal? True Is 433 bigger than 1? True Is -124 equal to -124? True Is -123 > -125? True Is 16837 >= 16837? True Which is smaller: 267 or 310? 267 Is 601/8 less than 76? True Do 1417 and 1404 have the same value? False Which is smaller: 7816 or 7815? 7815 Which is smaller: -4/7 or 12? -4/7 Is 3902 bigger than 3901? True Which is smaller: 271/3 or 91? 271/3 Which is bigger: -849 or 1? 1 Which is bigger: 0 or 1/1738? 1/1738 Is 2307 at least as big as 2306? True Is 0.12 > 19? False Which is bigger: 2/7 or 24.09? 24.09 Is 68 bigger than 68? False Which is greater: 8/9 or -4/5? 8/9 Which is greater: -5/742 or 0? 0 Is 5718/7 <= 816? False Is -24 smaller than -7.5? True Which is bigger: 43/4 or 12? 12 Which is greater: 3411 or 0? 3411 Which is smaller: 3 or -52? -52 Which is smaller: -3552 or -3555? -3555 Which is bigger: -19.4 or -0.2? -0.2 Which is bigger: 9 or 227? 227 Is 1 at most as big as -2/17349? False Which is smaller: 160 or -0.1? -0.1 Is -9/4 greater than 77? False Which is greater: -525 or -524? -524 Which is bigger: -33 or 2.4? 2.4 Which is bigger: -29665 or -29667? -29665 Is -15 at most as big as -26? False Which is bigger: 63435/4 or 15860? 15860 Which is smaller: -3/5 or -810? -810 Which is greater: 0 or 4/1249? 4/1249 Which is greater: -9396 or -9395? -9395 Is 13 at least 20? False Which is bigger: -37 or 2/7? 2/7 Is -1 at most -1/24152? True Is -2/7137 < 1? True Is -9 smaller than -92/9? False Is -1003 at most as big as -1004? False Which is smaller: -1/4 or 255.9? -1/4 Do -2 and -4/3 have different values? True Is 3116 bigger than 3124? False Is 0.2 bigger than -4/233? True Which is bigger: 1/56 or 1? 1 Is -397 > -399? True Are -2/45 and 34.3 non-equal? True Which is smaller: -8396 or 1? -8396 Is 26 at most -21? False Are 1013 and 4/3 equal? False Which is smaller: 505 or 509? 505 Are -388 and -388 nonequal? False Which is smaller: 0 or -7561/4? -7561/4 Which is smaller: -13 or -2/3? -13 Is 86 less than 88? True Do -1 and -840 have the same value? False Which is bigger: -758 or -2/7? -2/7 Which is smaller: -1020 or -1015? -1020 Which is smaller: -28 or 1/10? -28 Which is greater: 1185/91 or 13? 1185/91 Which is greater: 0 or -11/364? 0 Is -110 greater than or equal to 0.075? False Is -4/161 >= -1? True Is 20 less than or equal to 141/7? True Are 1536 and 1548 unequal? True Is -705/7 less than -100? True Which is bigger: 0 or -96? 0 Is 1036/11 bigger than 95? False Is -1/154 greater than or equal to -1? True Which is smaller: -1/39 or 25? -1/39 Is 9935 greater than or equal to 9937? False Is 16 at most 6? False Is -37294 at most -37294? True Is 347 at most 346? False Which is smaller: -343 or -5149/15? -5149/15 Does -323/28 = -12? False Is -2050/47 less than 1? True Is 0.07 >= -2? True Which is bigger: -1 or 23/1612? 23/1612 Which is smaller: -98 or 67? -98 Is -27/2 less than -11? True Is 4/1687 >= -1? True Does -326/175 = -1? False Which is smaller: -14 or 0.38? -14 Which is smaller: 5 or 5/7? 5/7 Which is smaller: -7/2546 or -1? -1 Which is bigger: 1761 or 0.1? 1761 Which is smaller: -1/14086 or 1? -1/14086 Which is greater: 0.04 or -24? 0.04 Is -474 at most as big as 1? True Is 12 at most as big as 33? True Which is smaller: -9 or -0.07? -9 Does 183/7 = 26? False Is 0 less than -2/12101? False Are -203 and -205 nonequal? True Is -3/850 greater than 1? False Does -0.02 = -2155? False Are -11 and -16 nonequal? True Is 0 greater than 2/1311? False Which is greater: 1127 or 26? 1127 Is 0 at least -259? True Is 142 equal to 67? False Which is smaller: 0 or 2/61387? 0 Is 35 smaller than 36? True Is 0 bigger than -4.95? True Is 4425 bigger than 4425? False Which is bigger: 17144 or 17143? 17144 Which is smaller: -448 or -476? -476 Are 63 and 511/8 equal?
{ "pile_set_name": "DM Mathematics" }