text
stringlengths
270
8.19k
meta
dict
52*k**2/7 - 6716610*k/7 + 5544450/7 = 0 for k. -185, 1, 9 Factor o**3/2 + 59399*o**2/2 + 1068875*o/2 + 1009477/2. (o + 1)*(o + 17)*(o + 59381)/2 Let 3*n**2 + 58590*n + 1229067 = 0. Calculate n. -19509, -21 Factor -14*z**3/15 + 354094*z**2/15 - 101164*z/3. -2*z*(z - 25291)*(7*z - 10)/15 Suppose 3*k**3 + 1092414*k**2 - 20757009*k - 21849420 = 0. Calculate k. -364157, -1, 20 Solve 3*a**5/5 + 27822*a**4/5 + 27813*a**3/5 - 55638*a**2/5 = 0. -9273, -2, 0, 1 Solve 2*s**4 + 370*s**3 + 12256*s**2 - 103048*s - 585120 = 0. -138, -53, -4, 10 Factor l**3/4 + 25325*l**2/2 + 50646*l. l*(l + 4)*(l + 50646)/4 Factor 2*l**3/9 - 4154*l**2/9 + 2264110*l/9 - 370361398/9. 2*(l - 1331)*(l - 373)**2/9 Factor 3*a**5 - 8799*a**4 + 1564080*a**3 + 8227295412*a**2. 3*a**2*(a - 1862)**2*(a + 791) Solve -l**4/3 + 102515*l**3 - 922622*l**2/3 - 410060*l + 1230168 = 0 for l. -2, 2, 3, 307542 Solve 5*d**5/6 + 135*d**4 - 7615*d**3/6 - 23340*d**2 - 127010*d/3 - 20400 = 0 for d. -170, -8, -1, 18 Determine o so that -3*o**2/2 + 85815*o/2 - 257391 = 0. 6, 28599 Find t such that -2*t**3/9 + 93066044*t**2/9 = 0. 0, 46533022 Solve -r**4/3 + 100*r**3 + 6951*r**2 - 180968*r/3 + 123760 = 0. -65, 4, 357 Let -c**4/4 + 1859*c**3/4 - 132089*c**2/4 - 1859*c/4 + 66045/2 = 0. Calculate c. -1, 1, 74, 1785 Determine n, given that -3*n**3 - 5022*n**2 - 1185003*n + 3600288 = 0. -1389, -288, 3 Factor -2*z**3 + 2227748*z**2 - 620371010210*z + 7444131330264. -2*(z - 556931)**2*(z - 12) Factor -4*u**2 + 22617776*u - 31972736949136. -4*(u - 2827222)**2 Factor -a**3/8 + 38223*a**2/8 + 7904913*a + 6404221427/2. -(a - 39827)*(a + 802)**2/8 Find n such that 6*n**2/5 - 693792*n/5 - 15266328/5 = 0. -22, 115654 Factor 2*r**3/9 - 20050*r**2/9 + 47336576*r/9 + 1645672448. 2*(r - 5152)**2*(r + 279)/9 Let q**4 + 17396*q**3 + 75305643*q**2 - 3047830236*q - 33517554084 = 0. What is q? -8718, -9, 49 Factor 2*x**2/7 - 28870488*x/7 - 8248712. 2*(x - 14435246)*(x + 2)/7 Find p, given that 841*p**2/2 + 123575844*p + 9079066123848 = 0. -4261236/29 Find j such that 238144*j**3/5 + 223856336*j**2/5 + 917441*j/5 + 188 = 0. -940, -1/488 Suppose 5*q**2 - 97860*q - 6579065 = 0. What is q? -67, 19639 Solve 4*i**2/7 - 84992*i/7 - 2042112/7 = 0. -24, 21272 Factor -2*i**2/5 - 5842*i/5 + 34220. -2*(i - 29)*(i + 2950)/5 Find d, given that 135*d**4/7 - 41856*d**3/7 + 442275*d**2 - 3189864*d/7 + 19380 = 0. 2/45, 1, 119, 190 What is i in -i**3/3 + 1972*i**2/3 - 319847*i/3 + 3826940/3 = 0? 13, 164, 1795 Suppose 12*n**4 + 2667*n**3 + 82446*n**2 - 686667*n - 176778 = 0. What is n? -183, -46, -1/4, 7 Factor 3*g**4/8 + 10857*g**3/2 + 303114*g**2 + 4239480*g. 3*g*(g + 28)**2*(g + 14420)/8 Find f, given that -f**4/7 - 553176*f**3/7 - 76502028088*f**2/7 - 306001474272*f/7 - 305999261584/7 = 0. -276586, -2 What is u in 3*u**4/2 - 5121*u**3 + 491664*u**2 + 2033289*u + 3073005/2 = 0? -3, -1, 103, 3315 Determine l, given that l**4 - 4223*l**3 - 5306402*l**2 - 1482854208*l - 2944516608 = 0. -528, -2, 5281 Determine m so that 11*m**5/7 - 90878*m**4/7 + 511988*m**3/7 - 136824*m**2 + 594432*m/7 = 0. 0, 18/11, 2, 8256 What is x in -x**5/2 - 2130*x**4 - 2270561*x**3 - 4458126*x**2 + 158642435*x/2 = 0? -2129, -7, 0, 5 Find t such that 3*t**4/4 - 85443*t**3/4 + 14948127*t**2/4 - 87382125*t/4 + 64959975/2 = 0. 3, 170, 28305 Find u, given that -10675225*u**2 + 10675245*u - 20 = 0. 4/2135045, 1 Suppose 3*y**2/7 - 252818973*y/7 - 252818976/7 = 0. Calculate y. -1, 84272992 Suppose 5*r**3/3 - 808000*r**2/3 - 118047935*r/3 - 4309722170/3 = 0. What is r? -73, 161746 Find z such that 25*z**3 - 213500315*z**2 - 512400880*z - 170800300 = 0. -2, -2/5, 8540015 Determine y, given that 5*y**4 + 1365*y**3 + 71540*y**2 - 2860620*y + 22089200 = 0. -161, -140, 14 Let 2*o**4/13 - 150*o**3/13 + 1388*o**2/13 + 1680*o/13 - 25600/13 = 0. What is o? -4, 5, 10, 64 Solve -105*l**5/4 + 4761*l**4/4 + 202827*l**3/4 - 708345*l**2/4 - 366501*l/2 + 43326 = 0. -29, -1, 1/5, 4, 498/7 Factor -3*z**2/4 + 33558*z + 1208331/4. -3*(z - 44753)*(z + 9)/4 Determine o so that -2*o**4 - 234*o**3 + 6278*o**2 + 111306*o + 271260 = 0. -137, -10, -3, 33 Determine v so that 2*v**5/3 - 16456*v**4/3 - 131762*v**3/3 - 115304*v**2/3 = 0. -7, -1, 0, 8236 Suppose -2*o**5/7 + 9094*o**4/7 + 54618*o**3/7 + 81962*o**2/7 - 5200*o - 109272/7 = 0. What is o? -3, -2, 1, 4553 Solve -2*p**4/5 + 534*p**3 + 8004548*p**2/5 + 3680474688*p/5 + 7328952576/5 = 0 for p. -792, -2, 2921 Solve -2*i**5 + 6178*i**4 + 478914*i**3 + 6845822*i**2 + 30275168*i + 23902080 = 0 for i. -59, -8, -1, 3165 Factor -3*y**2 - 121456323*y - 121456320. -3*(y + 1)*(y + 40485440) Suppose -d**5/3 - 424*d**4 - 94085*d**3/3 + 64422*d**2 = 0. What is d? -1193, -81, 0, 2 Factor -p**2/5 - 1016742*p/5 - 1016741/5. -(p + 1)*(p + 1016741)/5 Determine t, given that -75*t**3/2 - 485235*t**2/2 + 49681863*t/2 - 1261809417/2 = 0. -6571, 253/5 Factor 3*a**2 + 3446970*a + 6893928. 3*(a + 2)*(a + 1148988) What is t in -t**2/11 + 4801376*t/11 = 0? 0, 4801376 Factor 2*f**2/5 - 28620*f + 1573858/5. 2*(f - 71539)*(f - 11)/5 Let -2*z**2/7 + 3534*z/7 + 116748 = 0. What is z? -207, 1974 Factor c**3 - 5154*c**2 + 6510204*c + 338520200. (c - 2602)**2*(c + 50) Find s such that -4*s**2 - 35208392*s = 0. -8802098, 0 What is j in -4*j**3 - 48119*j**2 + 590046*j - 144504 = 0? -12042, 1/4, 12 Factor -4*o**2/3 - 27226744*o/3 - 54453472/3. -4*(o + 2)*(o + 6806684)/3 Factor 5*a**2 - 510665*a - 102845670. 5*(a - 102334)*(a + 201) Solve -2*g**2/9 - 138*g - 57100/9 = 0. -571, -50 Factor 5*n**3 + 203655*n**2 - 7133880*n + 6930220. 5*(n - 34)*(n - 1)*(n + 40766) Suppose -4107*v**4/8 - 365301*v**3/8 + 54527859*v**2/8 - 2946651*v/8 + 4977 = 0. What is v? -168, 1/37, 79 Solve 2*y**5 - 838*y**4 - 11262*y**3 + 12934*y**2 + 11260*y - 12096 = 0. -14, -1, 1, 432 Find a, given that 7803*a**5/7 - 157590*a**4/7 - 1338783*a**3 + 134730408*a**2/7 + 354650340*a - 4839080400 = 0. -23, 770/51, 36 What is k in -5*k**5 + 595320*k**4 + 3572100*k**3 = 0? -6, 0, 119070 Solve -143664*m**4/5 - 2873276*m**3/5 + 18389072*m**2/5 + 441335296*m/5 - 12288/5 = 0. -16, 1/35916, 12 Solve -970*u**2 + 5990725*u - 30880 = 0. 1/194, 6176 What is h in -2*h**4/9 - 4516*h**3/9 + 36224*h**2/9 - 72512*h/9 = 0? -2266, 0, 4 Factor 3*o**2/8 - 305169*o/2 + 6103305/8. 3*(o - 406887)*(o - 5)/8 Factor -b**2/3 - 1722*b + 672211/3. -(b - 127)*(b + 5293)/3 Factor 5*p**2 + 154441800*p + 1192613479362000. 5*(p + 15444180)**2 Let -f**3/3 - 4927*f**2 - 78768*f - 944960/3 = 0. Calculate f. -14765, -8 Find r such that -2*r**5 - 2014*r**4 - 718260*r**3 - 102964636*r**2 - 4408349738*r + 4512034650 = 0. -311, -75, 1 Determine j, given that 18*j**4 + 76908250*j**3 - 999807508*j**2/9 + 113938184*j/3 - 34181456/9 = 0. -4272682, 2/9, 1 Factor -u**3 - 288*u**2 + 225793*u - 2884440. -(u - 344)*(u - 13)*(u + 645) Determine q so that -2*q**4 + 926*q**3 - 23992*q**2 + 196384*q - 460416 = 0. 4, 11, 12, 436 Factor 15413*t**3 + 27928354*t**2/3 - 1208*t/3. t*(t + 604)*(46239*t - 2)/3 Determine c so that c**4/5 + 239*c**3 + 22379*c**2/5 + 41177*c/5 + 19992/5 = 0. -1176, -17, -1 What is r in -r**3/4 + 9989*r**2/4 - 6626760*r + 1918802025 = 0? 329, 4830 What is p in 4*p**3/5 + 19868*p**2/5 - 2775492*p/5 + 551124 = 0? -5103, 1, 135 Factor d**3/7 - 453834*d**2 + 2523065389020*d/7 + 15138506700504/7. (d - 1588422)**2*(d + 6)/7 Factor -4*l**3 - 127084*l**2 + 4*l + 127084. -4*(l - 1)*(l + 1)*(l + 31771) Suppose i**4/11 - 7627*i**3/11 - 122247*i**2/11 - 313337*i/11 - 198718/11 = 0. What is i? -13, -2, -1, 7643 Factor 1779*g**2 - 684873*g - 16170. 3*(g - 385)*(593*g + 14) Let v**2/7 + 823*v/7 - 181010 = 0. Calculate v. -1610, 787 Determine z, given that 3*z**5 + 3984*z**4 - 568632*z**3 - 15936*z**2 + 2274480*z = 0. -1458, -2, 0, 2, 130 Find o such that -o**2/3 + 21809*o - 2027276/3 = 0. 31, 65396 Factor 2*h**3 - 195570*h**2 - 782402*h + 8801010. 2*(h - 97789)*(h - 5)*(h + 9) Find f, given that -f**5/2 - 152*f**4 + 1739*f**3 + 1922*f**2 - 79317*f/2 - 39690 = 0. -315, -4, -1, 7, 9 Suppose 2*g**2 - 419966*g - 7140000 = 0. Calculate g. -17, 210000 Find p, given that p**2/6 - 34265*p/2 + 51396 = 0. 3, 102792 Determine q so that q**3/6 - 13921*q**2/3 + 10948955*q/6 + 11004643/3 = 0. -2, 401, 27443 Solve 4*j**5/9 + 16996*j**4/9 + 151696*j**3/3 - 3747008*j**2/9 + 8982784*j/9
{ "pile_set_name": "DM Mathematics" }
+ -22. Suppose 2*b = -3*i - 17 - 69, 5*b + i + 202 = 0. Is b at most as big as z? True Let q be (-1)/((-3)/1194) + (3 - 3). Let f = -415 + q. Is -19 at most as big as f? True Let r = 9404 - -4886. Is r at most 14291? True Let z = 35 + -35. Suppose -c + 167 - 167 = z. Is c smaller than 161? True Suppose -3*x + 140 = -2*f - 79, f = -2*x + 146. Suppose 5*w - x - 85 = -4*c, 86 = 2*c - w. Is 42 <= c? True Let i(z) = -2*z - 62. Let a be i(-26). Let y be 6/15 + -4 - 2/a. Is -1 < y? False Let t(a) = -20*a + 4. Let j be t(-1). Let f = j - 39. Let b(n) = -n**3 - 5*n**2 + 10*n + 8. Let h be b(-6). Which is smaller: f or h? h Let k be 0*(-3)/6*1. Let g = -22 + 32. Let n be g/8 - ((-7096)/(-5728) + 0). Is n at most as big as k? False Let f = 617351/104555856 - -1/61904. Which is greater: 0 or f? f Let g = -7966827/7780 + 177/1556. Let s = g - -1025. Which is smaller: s or -0.1? -0.1 Suppose -269 = 6*h + 337. Let p = h - -101. Which is smaller: -16 or p? -16 Suppose -16 = -26*l - 9*l + 19. Is 8/1797 smaller than l? True Let c be (16/840*5)/((-4)/(-21)). Which is smaller: 0.136 or c? 0.136 Let i(c) = -c**2 + 2*c + 24. Suppose -5*r - 2*r = 28. Let u be i(r). Suppose u = -6*l + 2*l. Which is smaller: l or -0.12? -0.12 Let p = 14507 - 14504. Which is smaller: p or -0.605? -0.605 Suppose -4*x - 52 = -2*x. Suppose 0 = -3*l + 21*b - 25*b - 649, 1103 = -5*l + 4*b. Let p = l + 192. Which is smaller: x or p? p Let r = 423.6 - 485.29. Let c = -62 - r. Let g = c - -0.21. Which is bigger: -0.3 or g? g Suppose -3*b - 2*b = 2220. Let y be 2*b/80 + (-2)/5. Which is smaller: y or -1/2? y Let r(d) = -2*d**3 - d**2 - d + 3. Let t be r(1). Which is smaller: -94/39 or t? -94/39 Suppose -2*o = 110*o + 75*o + 29733. Which is smaller: o or 6.5? o Let t = 19202 - 19113. Is 91 less than t? False Let s = -148 + 310. Let x be (-9)/3 + (s - 2). Suppose 160 - x = 3*v. Is v not equal to 3/2? True Let o = -105.3 - -112. Which is smaller: o or 0.3? 0.3 Let n = 847 + -795.05. Let s = -70.5 + 18.5. Let o = n + s. Which is greater: 0 or o? 0 Let d = 7282 - 7223. Is 3/5 equal to d? False Let m = -5 - -5.022. Let d = -3986 - -3433.1. Let p = 553 + d. Which is smaller: m or p? m Suppose 0 = -4*q + 698 + 902. Let r = q + -434. Is r equal to -38? False Suppose 0 = -4*l + 8 + 4. Suppose 46*j - 94 = -2. Suppose l*f + 5*v = 10, 2*f + j*v = -2*v + 4. Which is bigger: f or 6? f Suppose -42*i = i + 67*i. Let x = 12370/33 + -375. Is i smaller than x? False Let v(l) = -l**2 + 6*l - 1. Let n be v(5). Let r = -170 - -1562/9. Is r < n? True Suppose 3*n + 2*v + 3*v = 18, -v - 24 = -4*n. Let m be -5 + (11 - n) + 0. Let t = -652 + 30643/47. Which is smaller: t or m? t Suppose -42*j + 4505737 = -578*j + 993865. Which is smaller: j or -6551? j Suppose 5*g + 11 = 2*c, -2*g = -198*c + 194*c + 14. Is -10/5241 at least g? True Let q = 11.9 + -11.42. Let l = -2.48 + q. Let o = 10 - 12. Is o < l? False Let v = -21.1 - -40. Let y = v + -18.7. Which is smaller: y or 78? y Let h = 2 - 11. Suppose -4*f + 175 = 5*n, -f + 8 + 33 = 4*n. Let g be 2/(-6) + (-390)/f. Does h = g? True Let a be ((-93162)/(-2140))/(15 + -6). Let u = a + -2/535. Let t = u - 4/3. Is 5 less than t? False Let a = -5.472 + 4.89. Let u = a + -5.418. Let x = 2 + -3. Is u equal to x? False Let w be 535420/30 + -8 - (-4)/6. Let f be (-1035)/w + 3/48. Which is smaller: f or -1? -1 Let m = -1.5681 - -19.5681. Is -0.081 <= m? True Suppose 0 = 3*c - 7*c + 44. Let x(g) = -25*g + 271. Let d be x(c). Which is greater: -5 or d? d Let o = 11.665 - 2816.665. Does -0.2 = o? False Suppose 0 = -3*g - x - 1590, 3*x = 204*g - 205*g - 538. Is -529 at least g? True Let i = 5206012 - 5212292.986. Let r = -6290 - i. Let t = 0.014 + r. Which is greater: 0.3 or t? 0.3 Let d be ((-4)/40)/(69/230). Is 0.2872 at least as big as d? True Let l = -136831 - -175417331/1282. Is 0 at most l? False Let y = -292/7 + 32127/770. Let h = y - 111/6160. Is h bigger than 0? False Let t be ((-3)/4)/(224/128). Suppose -4*m = -8, -7*b + 8*b + 4*m = 23. Which is smaller: b or t? t Let k(l) = -l**2 - 12*l + 189. Let i be k(-21). Which is greater: i or 1/180? 1/180 Let p be 2204/(-725) + (-1)/1*-3. Let b = p - 43/175. Let x = -4.6 + 5. Are x and b unequal? True Let r(d) = 5*d**2 - 4*d + 2. Let t be 1 + 2 - (-1 + 2). Let z be r(t). Let b = 5243 - 5228. Which is smaller: z or b? z Suppose 6*q - 1023 - 513 = 0. Suppose -13*w - q = -11*w. Is -127 at least as big as w? True Let t(b) = -6*b**2 + 1. Let o = -2 + 3. Let p be t(o). Let v = 63139 - 63141. Which is bigger: v or p? v Let l(n) = 7*n**2 - 7*n + 6. Let w be l(2). Let b be (4/1192)/(5/w). Which is bigger: 1 or b? 1 Let z be (2/(-3) - (-150)/360)/(4/(-4088)). Is z greater than 257? False Let y(i) = 2*i**2 - 291*i - 10412. Let b be y(-31). Which is smaller: b or 533? b Let x = -762 + 767. Suppose x*y = 2*r + 1 + 129, y - r - 29 = 0. Is 23 < y? True Let t be (41793/(-9))/(28 - -3). Let g = -449/3 - t. Let s(z) = -8*z**3 - 15*z**2 + 2*z - 1. Let b be s(-2). Is b less than or equal to g? True Let l be 4/(-1)*(-12)/16. Suppose -42 - 33 = -l*t. Which is smaller: t or 6? 6 Let i = -2334.6 - -2160.6. Is i at least -15? False Let b be 788292/(-6660896) + 1/8. Let j = -2/1639 - b. Suppose 1 = -s + 2. Does j = s? False Let i be 15/182*110/(-99). Which is bigger: -1 or i? i Let p be 3 - 0 - 102484404/34161786. Is p less than -1? False Let j(p) = -16*p + 14. Suppose -d + 2 = -0. Let b be j(d). Let v = -17 - b. Is v < -13/4? False Suppose 0 = u - 14*u + 13. Let z = -5 + u. Let m be 0 - 0/(-1 + (-1 - z)). Is -42 equal to m? False Let g(p) = -3*p - 96. Let u be g(-7). Which is smaller: u or -69? u Let h be 1 + 1923/(-99) - -1. Let a = 52/3 + h. Let z(u) = -u**3 + 11*u**2 + 41*u + 13. Let f be z(14). Is f less than a? True Let g = 39 + -9. Let a be ((-4)/(-12))/(5/g). Suppose a*v - 3*b + 7 = 0, -b = -0*v + v + 6. Is -40/9 <= v? False Suppose -4*y + 5 - 23 = u, -3*u + 11 = -y. Suppose -u*a - 12 = -6*a. Let h be (-2 + a + 1)/2. Are -1/10 and h equal? False Suppose -17*l - 436 + 555 = 0. Let w = -20 - -37. Suppose 4*s - z - w = 4, -12 = -3*s + 2*z. Are l and s non-equal? True Let p = -47 - -21. Let b = -65 + 110. Let a = p + b. Which is smaller: a or 20? a Let s = 19625 - 19655. Let r = -1 - 1. Which is smaller: s or r? s Let b = 92 + -70. Let v = -40.8 - b. Let t = 11.8 + v. Is t bigger than 0? False Suppose 4*r - 3*r + 5 = -3*x, 8 = -4*x - r. Suppose 4*v - 4*s + 460 = 0, -5*v + 2*s + 0*s = 575. Let c = -235/2 - v. Which is greater: c or x? c Let m = -4499 + 2897. Let l = 2837 + -2839. Let s be -1 + l + m/(-531). Is s <= 1? True Suppose -2*a + 4*g - 9*g - 287 = 0, -a - 2*g - 145 = 0. Which is greater: 2 or a? 2 Suppose -8396 = -38*q - 9460. Which is smaller: -799/29 or q? q Let f = -5467 + 5468. Which is greater: -2/17947 or f? f Suppose 5*u + 3*v + 12 = 0, 33*u + 4 = 36*u - v. Is 12133 != u? True Let g = 30 - 37. Let r = g + 6.9. Suppose 2*z - 37 = 3*o + 20, z - 33 = 3*o. Which is greater: r or z? z Let y be 32 + (2 - 7/3)*3. Suppose c - 5*k + k = y, -3*c - k = -67. Let l = 93/4 - c. Which is smaller: l or -0.4? -0.4 Let w = 4520 - 7965. Is -0.1 less than or equal to w? False Let v(u) = 5*u**2 + 2*u + 2. Let n be v(-1). Suppose 0 = -n*h + t - 28, 4*h - 14 = 7*h - 2*t. Let f be (h/(-8))/((-27)/192). Is f less than -6? False Let t = 186 - 184. Let s(v) = -34*v + 163. Let p be s(5). Is t <= p? False Suppose -g + 19 = 5*l + 33, 0 = 3*g + l. Which is bigger: -5/816 or g? g Let h = -3587.8 + 3588. Do h and 519 have different values? True Let m be (-24950)/15 + (-1)/(-3). Let c = -48221/29 - m. Is 0 at least as big as c? False Let x = -3027 + 2995. Which is bigger: -34 or x? x Suppose 0 = -3*l + 5*m + 20, -316*m + 4 = 5*l - 317*m. Which is greater: 29/39 or l? 29/39 Let x be ((-2)/4)/(0 - (-1)/2). Let g be ((-3)/9)/(40/44 + x). Suppose 0 = 2*v + 2*a - 12, -v + 14 = 2*v + a. Which is smaller: v or g? g Let c = 11 + -5. Let g be 2*(-1)/c*3. Let j = -158495/8 + 19811. Which is smaller: g or j? g Let s = -30 + 39. Suppose 34 = s*g + 43. Which is smaller: -6/77 or g? g Let q(x) = -2*x - 1. Let s(j) = 37*j - 2. Let r(m) = 2*q(m) + s(m). Let k be r(-1). Is k smaller than -36? True Let f(r) = -9*r - 25. Let n be f(-6). Let g be (n - -1)*(-28)/35. Let o(z) = -5*z - 27. Let w be
{ "pile_set_name": "DM Mathematics" }
88) + 1 - sqrt(17))**2. -5004 - 84*sqrt(17) Simplify sqrt(76)/(-2*sqrt(4)) - (sqrt(209)*2 + sqrt(209))/sqrt(11). -7*sqrt(19)/2 Simplify (1 + 6*(sqrt(76)*2)**2)*2. 3650 Simplify sqrt(33)/(sqrt(77)/sqrt(7)) + -1. -1 + sqrt(3) Simplify (sqrt(7) - sqrt(63)*2) + sqrt(7) + -1 + -1. -4*sqrt(7) - 2 Simplify -2*sqrt(176)/(sqrt(4) + sqrt(4) + sqrt(16)). -sqrt(11) Simplify (sqrt(2448) + -4)**2 + sqrt(2448) + sqrt(2448)*-1. -96*sqrt(17) + 2464 Simplify -1 + -1 + sqrt(17) + -2. -4 + sqrt(17) Simplify 0 + 2 + sqrt(45). 2 + 3*sqrt(5) Simplify (6*sqrt(228)/sqrt(4))/(sqrt(147)*2 + sqrt(147) - sqrt(3) - sqrt(3)). 6*sqrt(19)/19 Simplify -6*(sqrt(171)/(2*sqrt(9)) + 3). -18 - 3*sqrt(19) Simplify -2 + sqrt(108) + -4. -6 + 6*sqrt(3) Simplify ((sqrt(5) - sqrt(125)*2)**2 - (-4 + ((sqrt(10)/sqrt(2))**2 - sqrt(5))))*5. 5*sqrt(5) + 2020 Simplify -5*sqrt(33)/(1*sqrt(11)). -5*sqrt(3) Simplify 6*(sqrt(17) + ((sqrt(17) - sqrt(17)*1) + sqrt(17))**2 + sqrt(17)) + (sqrt(153) - sqrt(17)) + 4. 14*sqrt(17) + 106 Simplify (2 + (-2 + sqrt(128) - sqrt(128))*-2)**2. 36 Simplify 3 + 5*sqrt(3)*4. 3 + 20*sqrt(3) Simplify 5 + sqrt(119)/(-2*sqrt(7) + sqrt(7)) + 4. -sqrt(17) + 9 Simplify sqrt(117) + (sqrt(117)*2)**2 + 4. 3*sqrt(13) + 472 Simplify -2*(sqrt(2736) + -2). -24*sqrt(19) + 4 Simplify sqrt(33)/(-1*sqrt(48) - sqrt(3)). -sqrt(11)/5 Simplify -2 + (sqrt(48))**2 + 4. 50 Simplify -3*sqrt(114)/sqrt(6) - (sqrt(19) - sqrt(38)/(sqrt(2)*2)). -7*sqrt(19)/2 Simplify ((sqrt(112)*-1 + sqrt(112))*1 - (sqrt(112)*4 + -2))**2. -64*sqrt(7) + 1796 Simplify (-5*(sqrt(76) - sqrt(76)*-1))/(2*sqrt(64)). -5*sqrt(19)/4 Simplify (-3*-4*sqrt(88))/(-2*sqrt(800)). -3*sqrt(11)/5 Simplify (-5*sqrt(56))/(1*sqrt(128)). -5*sqrt(7)/4 Simplify ((sqrt(252)*1 - sqrt(252))/sqrt(9) + sqrt(28))/((sqrt(24) - sqrt(600))/sqrt(6)). -sqrt(7)/4 Simplify sqrt(2) + (-2 + sqrt(128))**2 - (sqrt(200) + -1 - sqrt(200) - sqrt(200) - sqrt(200) - sqrt(200) - sqrt(200))**2. -3069 - 111*sqrt(2) Simplify (3 + sqrt(3) + sqrt(3) + -3)**2 - ((sqrt(1701) - sqrt(21))/sqrt(7) - sqrt(3)). -7*sqrt(3) + 12 Simplify ((sqrt(243) + 4)*-5*4)**2. 28800*sqrt(3) + 103600 Simplify (2 + sqrt(13) + -3 + 3)**2. 4*sqrt(13) + 17 Simplify sqrt(468) + (sqrt(468)*-2)**2 + -3 + -3. 6*sqrt(13) + 1866 Simplify -1*(-2*sqrt(91)/sqrt(7) - sqrt(13) - sqrt(26)/sqrt(2)*1)**2. -208 Simplify (-4 + sqrt(52) - sqrt(13) - sqrt(13))**2 + -4. 12 Simplify (-3*(sqrt(7) + (sqrt(7) - 2*sqrt(7))))**2 + -1*(sqrt(7)*1 + sqrt(7)) + (0 + sqrt(448))**2 + (sqrt(343)*2)**2. -2*sqrt(7) + 1820 Simplify -2*(-3*(sqrt(13) + sqrt(13)*-1) + -4). 8 Simplify ((sqrt(3) - (1 + sqrt(12)/sqrt(4)))*-4)**2. 16 Simplify -5 + (sqrt(19) - (sqrt(19) + (-3*sqrt(19) + 4)**2 + sqrt(19))). -192 + 23*sqrt(19) Simplify sqrt(76)/(sqrt(4)*-1*-5). sqrt(19)/5 Simplify -5 + sqrt(3)*1 + (sqrt(180)/sqrt(5))/sqrt(12). -5 + 2*sqrt(3) Simplify 4*(-2*sqrt(2) - sqrt(2)) - ((0 + sqrt(2) - sqrt(2)) + -1). -12*sqrt(2) + 1 Simplify ((sqrt(2) - (sqrt(2) - sqrt(2)*2)) + 1)**2 + sqrt(6)/(sqrt(9)/sqrt(3) + sqrt(3)). 9*sqrt(2)/2 + 9 Simplify 1 + -4 + sqrt(20) + 3. 2*sqrt(5) Simplify ((sqrt(180) + (sqrt(180) - (-1 + sqrt(180))) + 1)**2 - sqrt(180)) + sqrt(180) + -5. 24*sqrt(5) + 179 Simplify ((sqrt(220) - sqrt(55))*3)/(6*sqrt(11)*1). sqrt(5)/2 Simplify -4*((sqrt(10) - sqrt(90)) + sqrt(10))/sqrt(5). 4*sqrt(2) Simplify (-6*-2*sqrt(85))/(sqrt(45)*-2). -2*sqrt(17) Simplify 3*4*(sqrt(17) + 1). 12 + 12*sqrt(17) Simplify -6*(sqrt(17) - ((sqrt(85) - 1*sqrt(85)) + sqrt(85))/sqrt(5))**2. 0 Simplify -1*(((sqrt(208)*-1)**2 - sqrt(208)) + -2). -206 + 4*sqrt(13) Simplify sqrt(192)*4 + 4. 4 + 32*sqrt(3) Simplify ((sqrt(108) - (sqrt(108) - (sqrt(108) + (sqrt(108)*2 - sqrt(108)) - sqrt(108) - sqrt(108)))) + sqrt(108))/sqrt(6). 3*sqrt(2) Simplify ((sqrt(13) - sqrt(39)/(sqrt(3) + sqrt(108)) - sqrt(13)) + (sqrt(13) - (sqrt(130) - (sqrt(130) + sqrt(130)*-4 + sqrt(130)))/sqrt(10)))**2. 2925/49 Simplify (6*(sqrt(119) - -2*sqrt(119)) + sqrt(119))/(-3*sqrt(28)/sqrt(4)). -19*sqrt(17)/3 Simplify (-4*-3*sqrt(228))/(5*(sqrt(12) + (-2*sqrt(12) - sqrt(12)))). -6*sqrt(19)/5 Simplify -1*3*sqrt(3)*-2*5. 30*sqrt(3) Simplify sqrt(228)/((sqrt(108)*2)/sqrt(9)) + 1. 1 + sqrt(19)/2 Simplify sqrt(45)/(sqrt(9)*2*-4). -sqrt(5)/8 Simplify (sqrt(10) + (sqrt(60) - sqrt(540))/sqrt(6))/(sqrt(10)/(sqrt(6)/sqrt(3))). -sqrt(2) Simplify (-4*(-2 + sqrt(833) + -1*sqrt(833)))**2. 64 Simplify (sqrt(351) + 3*sqrt(351) - sqrt(39))/(sqrt(24)/(2*sqrt(8))). 22*sqrt(13) Simplify ((sqrt(288) - (sqrt(288) - (-3*sqrt(288)*-1 + sqrt(288))))*-1*1)**2. 4608 Simplify 2 + 2*(2*(sqrt(91) - (sqrt(91) - (sqrt(91)*-2 + sqrt(91) - sqrt(91))) - sqrt(91)))/sqrt(7). -12*sqrt(13) + 2 Simplify (-3*(-2*sqrt(91) + sqrt(91)))/sqrt(7). 3*sqrt(13) Simplify (sqrt(48) + 3)**2 + 2. 24*sqrt(3) + 59 Simplify (2*(sqrt(121) - (sqrt(121) + sqrt(121)*2)))/(sqrt(11) + (sqrt(132)/sqrt(3))/sqrt(4)). -2*sqrt(11) Simplify (4*(sqrt(432) + sqrt(432)*2) + (sqrt(432) - (sqrt(432) + 2*sqrt(432))) + -5 + 1)**2. -960*sqrt(3) + 43216 Simplify -6*1*sqrt(1300) + sqrt(1300). -50*sqrt(13) Simplify ((sqrt(392)/(sqrt(35)/sqrt(5)))/(sqrt(8) - sqrt(72)/sqrt(36)))**2. 28 Simplify ((sqrt(200)/sqrt(8) + sqrt(25))/sqrt(5) - sqrt(5)) + 0. sqrt(5) Simplify (sqrt(76) - (sqrt(76) + -1*-2*sqrt(76)))/(sqrt(40)/(sqrt(10)*2)). -4*sqrt(19) Simplify (sqrt(242)*-4*-4)**2. 61952 Simplify (sqrt(13)*-4 + -4)*6. -24*sqrt(13) - 24 Simplify 2 + (sqrt(5) + (sqrt(5) + (sqrt(45) - sqrt(5)))*3)**2. 502 Simplify 1*(-1*sqrt(704))**2. 704 Simplify (2 + 1 + sqrt(19))*1 + sqrt(190)/(sqrt(20)/(sqrt(2)*-2)). -sqrt(19) + 3 Simplify (sqrt(19) - (sqrt(152) + sqrt(152)*-1)/sqrt(8)) + sqrt(304) + 2. 2 + 5*sqrt(19) Simplify 0 + (sqrt(12) - sqrt(192)*-3)/sqrt(4). 13*sqrt(3) Simplify sqrt(125) + 1 + (sqrt(20)/sqrt(4))**2 + 4. 10 + 5*sqrt(5) Simplify (sqrt(22) + 2*sqrt(1408))/(sqrt(4)/(1*sqrt(2))). 17*sqrt(11) Simplify -2*sqrt(297)/sqrt(11). -6*sqrt(3) Simplify -2 + 0 + sqrt(12)/(sqrt(16)/sqrt(4)). -2 + sqrt(3) Simplify (-5 + sqrt(20) - (2 + sqrt(500) + sqrt(500)))**2. 252*sqrt(5) + 1669 Simplify (sqrt(208) + 1 + 0)**2. 8*sqrt(13) + 209 Simplify (-1 + (sqrt(245) - (sqrt(245) + 3)))*4. -16 Simplify 1 + (sqrt(171))**2 - ((sqrt(38)/sqrt(2))**2 + -2 + sqrt(19)). -sqrt(19) + 155 Simplify -5*(-3*sqrt(48))**2. -2160 Simplify ((3 + sqrt(539)*1)**2 - sqrt(539)) + 5. 35*sqrt(11) + 553 Simplify (1 + 1 + sqrt(117) + -2)**2*4. 468 Simplify 2 + -5 + 0 + (sqrt(11) - (sqrt(11) + 3)**2). -23 - 5*sqrt(11) Simplify (sqrt(4)/(sqrt(16)/(sqrt(8)*-1) - sqrt(2)))**2. 1/2 Simplify sqrt(68)*-5 + 3. -10*sqrt(17) + 3 Simplify -4*(sqrt(13) - sqrt(468))*-5. -100*sqrt(13) Simplify ((2*(sqrt(11) + sqrt(396)))**2 - sqrt(11))*-2. -4312 + 2*sqrt(11) Simplify (-3*((-2*sqrt(128) - sqrt(128))**2 - sqrt(128)) - sqrt(128)) + -5. -3461 + 16*sqrt(2) Simplify (sqrt(152) - (sqrt(152) + sqrt(152)*-2 + sqrt(152)))/sqrt(8) + 2. 2 + sqrt(19) Simplify 4 + (-4 + (sqrt(3) - sqrt(18)/sqrt(6)) - sqrt(3)). -sqrt(3) Simplify 3 + -2*sqrt(1377). -18*sqrt(17) + 3 Simplify (sqrt(605) + -2*sqrt(605))**2*2. 1210 Simplify -2*sqrt(245) + (sqrt(30) - sqrt(480))/sqrt(6). -17*sqrt(5) Simplify (sqrt(1440) + sqrt(40))/sqrt(8) + 5. 5 + 7*sqrt(5) Simplify ((sqrt(80) - ((sqrt(80) - 1*sqrt(80)) + -1)) + -2)**2. -8*sqrt(5) + 81 Simplify sqrt(15)/sqrt(80) - (-2 + (sqrt(9)/(sqrt(3)*-2))**2). sqrt(3)/4 + 5/4 Simplify (sqrt(35) + -3*(sqrt(140)/sqrt(4) + sqrt(35)))/sqrt(7). -5*sqrt(5) Simplify ((1*sqrt(26) + sqrt(26))*-2)/(sqrt(6)/sqrt(3)*5). -4*sqrt(13)/5 Simplify (-1 + sqrt(128) - sqrt(128))*-1 + 4. 5 Simplify (0 + -2*sqrt(343))**2*1. 1372 Simplify (2*sqrt(1700) + 1)**2. 40*sqrt(17) + 6801 Simplify (sqrt(385)/sqrt(7)*2)/sqrt(5). 2*sqrt(11) Simplify ((3*sqrt(104))/sqrt(4))/((sqrt(4) - sqrt(196))/sqrt(2)). -sqrt(13)/2 Simplify (sqrt(24) - ((sqrt(24) - (-1*sqrt(3456) + sqrt(3456))) + sqrt(24)))/sqrt(8). -sqrt(3) Simplify -2*sqrt(704)*3 + 2. -48*sqrt(11) + 2 Simplify ((sqrt(150)*-2)/sqrt(2))**2. 300 Simplify ((0 + sqrt(17) - sqrt(17)) + -2 + 1*sqrt(612))**2. -24*sqrt(17) + 616 Simplify 5 + (sqrt(5) - (sqrt(30)*3 + sqrt(30))/sqrt(6)) + 5*sqrt(80). 5 + 17*sqrt(5) Simplify (2*sqrt(704))/(1*sqrt(4)*-4). -2*sqrt(11) Simplify (3*(sqrt(119) - (sqrt(119) - sqrt(119)*2))/sqrt(7))**2. 612 Simplify (2 + (sqrt(13) - (sqrt(117) + -1*sqrt(117) + sqrt(117))/sqrt(9)))*4. 8 Simplify
{ "pile_set_name": "DM Mathematics" }
placement from umlhrhmrihir. 1/55 Two letters picked without replacement from tttcctxttxctx. Give prob of picking 2 t. 7/26 Four letters picked without replacement from {b: 6, i: 6}. What is prob of picking 1 b and 3 i? 8/33 What is prob of picking 1 y and 2 v when three letters picked without replacement from {b: 8, y: 5, v: 4}? 3/68 Four letters picked without replacement from {z: 2, q: 2, v: 1, c: 1, b: 1, r: 2}. What is prob of picking 2 q, 1 r, and 1 b? 1/63 Four letters picked without replacement from {j: 3, r: 4, p: 6}. What is prob of picking 1 j and 3 r? 12/715 What is prob of picking 1 d and 2 l when three letters picked without replacement from {d: 4, w: 2, l: 2, t: 1, f: 5}? 1/91 Two letters picked without replacement from ecccxcxmm. What is prob of picking 2 c? 1/6 Calculate prob of picking 1 k and 1 e when two letters picked without replacement from {e: 3, s: 3, k: 1, l: 1, b: 5, u: 1}. 3/91 Two letters picked without replacement from {d: 2, a: 2, y: 4, e: 2, i: 3}. Give prob of picking 1 d and 1 e. 2/39 Two letters picked without replacement from qqag. Give prob of picking 1 g and 1 a. 1/6 What is prob of picking 1 c and 2 u when three letters picked without replacement from uufuufucf? 5/42 What is prob of picking 2 z and 1 u when three letters picked without replacement from uuzuzpppp? 1/28 Two letters picked without replacement from {h: 3, o: 4, j: 1, x: 1, b: 2}. Give prob of picking 1 b and 1 j. 2/55 Two letters picked without replacement from {i: 1, n: 1, b: 1, u: 1, o: 2, f: 1}. Give prob of picking 1 b and 1 o. 2/21 What is prob of picking 2 g when two letters picked without replacement from {c: 7, g: 5}? 5/33 Calculate prob of picking 1 j and 3 o when four letters picked without replacement from {o: 6, b: 2, j: 5}. 20/143 Three letters picked without replacement from cckkcccdeekckwcd. Give prob of picking 1 k, 1 c, and 1 d. 1/10 Calculate prob of picking 2 l and 2 m when four letters picked without replacement from tlttlbmmblmltlbllbl. 7/323 Two letters picked without replacement from qchtcfhfch. What is prob of picking 2 h? 1/15 Two letters picked without replacement from {g: 4, o: 3, r: 4, n: 5, f: 3}. Give prob of picking 2 n. 10/171 Three letters picked without replacement from ggogoo. Give prob of picking 3 o. 1/20 What is prob of picking 1 w and 1 q when two letters picked without replacement from {y: 2, q: 4, v: 1, w: 1, l: 1}? 1/9 Three letters picked without replacement from {b: 2, d: 3, z: 5, q: 2}. What is prob of picking 3 z? 1/22 Four letters picked without replacement from ooootoootoooo. What is prob of picking 4 o? 6/13 Two letters picked without replacement from {i: 1, c: 1, a: 1, f: 2, e: 8, r: 1}. Give prob of picking 1 c and 1 i. 1/91 Calculate prob of picking 2 m when two letters picked without replacement from mmwmwwmmwfmwwwc. 1/7 Four letters picked without replacement from {r: 1, f: 7, o: 1, m: 4}. Give prob of picking 1 r and 3 m. 4/715 What is prob of picking 2 p when two letters picked without replacement from ppppsssspppspssspsp? 5/19 Three letters picked without replacement from ylyuybuy. What is prob of picking 2 y and 1 b? 3/28 What is prob of picking 1 a, 1 d, and 1 n when three letters picked without replacement from ahnhisdsa? 1/42 Three letters picked without replacement from {o: 6, u: 2, f: 9}. What is prob of picking 2 o and 1 f? 27/136 What is prob of picking 1 v and 2 n when three letters picked without replacement from {n: 6, v: 6}? 9/22 Calculate prob of picking 1 e and 2 w when three letters picked without replacement from adaaadweddaadwiaidau. 1/1140 What is prob of picking 1 f, 1 d, and 1 t when three letters picked without replacement from {t: 4, d: 1, f: 5}? 1/6 Four letters picked without replacement from {k: 6, f: 4, t: 2}. What is prob of picking 2 k and 2 t? 1/33 Two letters picked without replacement from gkmmkrrgysmkky. What is prob of picking 1 y and 1 m? 6/91 Calculate prob of picking 1 t and 1 l when two letters picked without replacement from jljlllljjlltltll. 1/6 Three letters picked without replacement from kneknienwwwnakknnn. Give prob of picking 1 w, 1 e, and 1 a. 1/136 Two letters picked without replacement from {x: 1, u: 6, w: 2, a: 3, v: 2, h: 4}. What is prob of picking 1 a and 1 w? 2/51 Two letters picked without replacement from {u: 1, r: 1, a: 1, s: 1, v: 2, f: 2}. Give prob of picking 1 f and 1 a. 1/14 Calculate prob of picking 4 h when four letters picked without replacement from {j: 6, h: 12}. 11/68 Three letters picked without replacement from zczzczzczzzzzzzz. What is prob of picking 3 z? 143/280 What is prob of picking 3 p and 1 s when four letters picked without replacement from {b: 1, m: 2, p: 9, s: 5, n: 1}? 7/51 Four letters picked without replacement from {b: 9, y: 10}. Give prob of picking 4 y. 35/646 Calculate prob of picking 2 s when two letters picked without replacement from {s: 8, q: 3}. 28/55 What is prob of picking 1 x and 1 h when two letters picked without replacement from xyroh? 1/10 Two letters picked without replacement from {o: 1, m: 2, t: 1, f: 1, e: 4, a: 3}. Give prob of picking 1 f and 1 t. 1/66 Calculate prob of picking 1 x and 1 p when two letters picked without replacement from {x: 1, z: 5, p: 5}. 1/11 Two letters picked without replacement from betemqht. What is prob of picking 1 t and 1 b? 1/14 What is prob of picking 2 c and 2 w when four letters picked without replacement from cccwwcw? 18/35 Calculate prob of picking 1 r and 3 a when four letters picked without replacement from {a: 4, r: 7, k: 3}. 4/143 Calculate prob of picking 1 h and 1 r when two letters picked without replacement from zzzhhhhrhrzhh. 7/39 Calculate prob of picking 2 v when two letters picked without replacement from {m: 1, c: 2, v: 3, y: 1}. 1/7 Calculate prob of picking 2 t when two letters picked without replacement from {o: 1, t: 5, e: 7}. 5/39 What is prob of picking 2 c and 2 r when four letters picked without replacement from wcciwwwwcwwriwrciw? 1/510 Three letters picked without replacement from jjvmjmvmjvl. What is prob of picking 1 m and 2 j? 6/55 What is prob of picking 1 n and 1 j when two letters picked without replacement from {g: 1, n: 1, j: 17}? 17/171 Calculate prob of picking 2 c when two letters picked without replacement from csdd. 0 What is prob of picking 1 o, 1 l, and 2 s when four letters picked without replacement from {s: 3, o: 1, x: 6, l: 7}? 3/340 What is prob of picking 4 b when four letters picked without replacement from {b: 4, p: 7}? 1/330 Calculate prob of picking 1 f and 1 j when two letters picked without replacement from dddbdkdbjjwbjfw. 1/35 Calculate prob of picking 1 a and 1 q when two letters picked without replacement from oxqpaaaaqa. 2/9 What is prob of picking 1 r, 1 y, and 2 p when four letters picked without replacement from {r: 1, y: 2, p: 2}? 2/5 Calculate prob of picking 1 z and 1 j when two letters picked without replacement from tttztjttzettjjtt. 1/20 Two letters picked without replacement from {q: 3, j: 5, p: 3, v: 1}. Give prob of picking 1 j and 1 v. 5/66 Three letters picked without replacement from pnbibiiyppxbbiy. Give prob of picking 2 b and 1 i. 24/455 What is prob of picking 2 v when two letters picked without replacement from {v: 3, k: 3}? 1/5 Two letters picked without replacement from bbxxbllaerll. Give prob of picking 2 e. 0 Four letters picked without replacement from {j: 5, g: 2, p: 8}. What is prob of picking 3 p and 1 g? 16/195 What is prob of picking 2 q and 1 b when three letters picked without replacement from qrqnrrqdbhrr? 3/220 Three letters picked without replacement from {u: 2, g: 4, y: 1, h: 4}. Give prob of picking 1 y, 1 h, and 1 g. 16/165 Three letters picked without replacement from {i: 1, k: 1, g: 1, n: 1, b: 1}. What is prob of picking 1 i, 1 n, and 1 k? 1/10 Calculate prob of picking 1 z and 1 s when two letters picked without replacement from ssszzxsxzzdszzsssz. 56/153 What is prob of picking 1 x, 1 a, and 2 y when four letters picked without replacement from {a: 1, d: 1, n: 1, y: 5, x: 2}? 2/21 What is prob of picking 1 y and 2 s when three letters picked without replacement from dyqdjmysjysy? 1/55 What is prob of picking 3 f when three letters picked without repla
{ "pile_set_name": "DM Mathematics" }
*2 - 3*z - 3. Calculate c(p). -7 Suppose 3*d = s - 43, -d - 11 = -0*d + 3*s. Let x be 2/3*(d - -20). Let g(m) = -m - x + m - 3*m - m. What is g(-3)? 8 Let k(x) be the first derivative of 3*x**4/8 + x**3/2 - 11*x**2/2 - 2. Let g(s) be the second derivative of k(s). Determine g(-2). -15 Let m = -33 + 29. Let k be (m/16)/((-1)/12). Let t(p) = k*p - p**2 - 6*p + 3*p - 5. Give t(0). -5 Suppose -4*b + 5*a = -0*b - 35, -10 = -5*b - 5*a. Let z(u) = -2*u + 3. Calculate z(b). -7 Let a(s) = s**2 - 13*s + 45. Let v be a(6). Let l(i) = -i**2 + 4. Give l(v). -5 Let k(y) = -y**2 + 17*y - 2. Let a be k(14). Let f = a - 48. Let b(w) = -2*w - 5. Calculate b(f). 11 Let x be 12/(-9)*(-13 + -14)/9. Let n(b) be the first derivative of -b**2 + 7/2*b**x - b - 1/3*b**3 + 11. Calculate n(-1). -14 Let t be (-5 - -2)/(-6)*8. Suppose 0*u + 4*y + t = -5*u, 0 = -4*u + 3*y + 3. Suppose -d - d + 6 = u. Let p(o) = o**3 - 2*o**2 - 4*o + 1. Give p(d). -2 Let l(a) = -2 + 1 - a + 3. Let z be 7 + 153/(-21) - 37/(-7). Give l(z). -3 Let f(d) = -104 + 57 - 7*d + 50. Let l(b) = -7*b + 3. Let t(h) = 5*f(h) - 4*l(h). What is t(3)? -18 Let d(i) be the third derivative of -i**5/60 + 11*i**4/24 - 2*i**3 + 7*i**2 + 2. Determine d(11). -12 Let q(s) be the third derivative of -s**5/10 + s**4/24 + s**3/6 - 6*s**2. Let i = 289 - 290. Calculate q(i). -6 Let v(c) = 5*c**2 + c - 8. Let n(s) = s**2 - 1. Let q(t) = 6*n(t) - v(t). Calculate q(3). 8 Let y = 0 - 2. Let k(d) = -4 + 18*d + 1 - 17*d - 5*d. What is k(y)? 5 Let j = 0 - -7. Let i(c) = -3*c**2 - 2 + 2*c**2 + 6 + j*c. Let x be (-3605)/(-525) - (-2)/15. Give i(x). 4 Let h(b) = 12 + 10 - 21 + 10*b. Suppose -3*v - 6 + 3 = 0. What is h(v)? -9 Let r(a) = a**3 + 5*a**2 - 7*a + 1. Let f(g) = -g**2 + 7*g + 21. Let i be f(9). Suppose i = -3*q - 15. Determine r(q). 7 Let d(r) = -r**3 + 8*r**2 - 8*r + 2. Let x = 48 + -45. Let p(g) = g**3 - 7*g**2 + 7*g - 2. Let o(q) = x*d(q) + 4*p(q). What is o(2)? -2 Let g(i) = -i**2 + 5*i - 5. Suppose 4*a = 210 - 78. Let h = a - 28. Determine g(h). -5 Let y(h) = -15*h - 20. Let f(s) = 5*s + 7. Let n be -6*(12/(-9) + 1). Suppose 11 + 23 = -n*q. Let d(k) = q*f(k) - 6*y(k). Give d(-1). -4 Suppose 0 = 2*n + 4*s + 9 + 5, n + 2 = -s. Let j be (0 - 4/n)*3. Let q(u) be the third derivative of u**4/12 + u**3/3 - 716*u**2. What is q(j)? -6 Suppose 3*c + 0*c = -18. Let f(p) be the first derivative of 8 + 3*p**2 + 1/3*p**3 - 7*p. Determine f(c). -7 Suppose -11*b = -14*b - 3. Let m(k) = -k**3 - k**2 + k + 1. Let q(u) = -4*u**3 - 9*u**2 + 6*u + 6. Let n(h) = b*q(h) + 5*m(h). Calculate n(4). -5 Suppose 0 = 3*f - 4*z + 16, -f + 10 = 2*z + 2. Suppose 3*y + 3*y + 24 = f. Let l(v) = -v + 4*v - 2*v + 7. Determine l(y). 3 Let u = 310 + -310. Let i(f) be the first derivative of -f**4/4 + f**3/3 + f**2/2 - 17*f + 2. Determine i(u). -17 Suppose -3*h - 12 + 3 = -5*p, p - 12 = 4*h. Let w be (-4*h/6)/(-1). Let k(a) = -2*a**2 + 27*a**3 - 3*a + 3*a**2 + 4*a - 26*a**3. What is k(w)? -6 Let s(o) be the third derivative of o**5/60 - o**4/4 + 5*o**3/6 - o**2 + 44. Let u = -6 - -11. Calculate s(u). 0 Let m(q) be the second derivative of -q**3/6 + 7*q**2/2 - 6*q - 5. Let v = -4 + 7. Suppose z - v*h = 2, 2*z + 2*h = 6*h + 6. Determine m(z). 2 Let d(b) = -b**2 - 7*b - 10. Let a be d(-5). Suppose a = -5*i + 3*i + 6. Let s(m) = m - 3*m - 2*m**2 + m**i + 2 + 3*m - 2*m. Give s(2). 0 Let b(j) be the first derivative of 5*j**2 - 2*j + 512. What is b(-1)? -12 Let c be (49/147)/(2 + 46/(-24)). Let a(p) = 10*p + 1. Calculate a(c). 41 Let y(m) be the first derivative of -5*m**4/4 - 2. Let q(f) = -2*f - 29. Let c be q(-15). Calculate y(c). -5 Let j be -3 - -1 - (-16)/4. Let z(a) = -a**3 + 10*a**2 + 5*a + 5. Let n(u) = u**3 - 9*u**2 - 4*u - 4. Let p(q) = 7*n(q) + 6*z(q). What is p(j)? 2 Let b(t) = 8 - 8 - t + 4 + 2*t. Let z be b(-1). Let g(u) = u**3 - 2*u**2 - 3*u + 4. What is g(z)? 4 Let p(j) be the second derivative of -j**8/6720 - j**7/504 - j**6/180 + j**5/24 - 3*j**4/4 - 5*j. Let l(y) be the third derivative of p(y). What is l(-4)? 5 Suppose 0 = 3*l - 34 + 25. Let i(h) = 8*h + 5. Let x(r) = r + 1. Let n(a) = i(a) - 6*x(a). What is n(l)? 5 Let t(j) = 2*j**2 - 2*j - 1. Let m(b) be the second derivative of -b**3/6 - b**2/2 + 19*b. Let z(o) = 4*m(o) + t(o). Give z(5). 15 Let j(a) = 10*a**2 + 20. Let d(z) = -7*z**2 - 13. Let h(q) = -7*d(q) - 5*j(q). Give h(0). -9 Let p = 3 + 0. Let h(y) = -2 + 5*y**2 + 5*y**2 - p*y - 4*y**2 - y**3. Suppose 2*x - 5 = q, 5*q - 2*x + 0*x - 15 = 0. Calculate h(q). 8 Suppose 0 = 5*v + 4*j + 37 + 19, 4*v + 5*j = -43. Let u be (v/(-16))/((-2)/(-8)). Let w(r) be the second derivative of -r**4/12 + r**2/2 + r. Calculate w(u). -8 Let i(y) = -4*y - 2*y + 2 - 7*y**2 + 2. Let u(b) be the first derivative of -4*b**3/3 - 3*b**2/2 + 2*b - 15. Let w(m) = -3*i(m) + 5*u(m). Determine w(-3). -2 Let h(k) = k**3 - 7*k**2 - 19*k + 6. Suppose -43 + 151 = 12*j. Determine h(j). -3 Let c(b) = -19*b**2 - 31 - b + 1 + 8 - b**3 + 0*b**2. Determine c(-19). -3 Let o = 95 - 47. Let z(h) = 0 + 5 + 1 + 47*h**2 - o*h**2 + 6*h. What is z(7)? -1 Let z(c) = c + 12. Let i(d) = -2*d - 24. Let g(q) = -3*i(q) - 5*z(q). Give g(-7). 5 Let z(c) = c**2 - 10*c - 8. Suppose -3*m + 26 = -p, 2*m + 3*p + 3 = 13. Give z(m). -24 Let o(p) = 3*p + 26. Let w be o(-6). Let h(n) = -n**3 + 7*n**2 + 5*n + 8. What is h(w)? -16 Let r(h) = -h**2 + 7*h + 14. Let j = -13 - -22. Let v be r(j). Let k(y) = -y**3 - 4*y**2 - 2. Calculate k(v). -2 Let h = 26 - 25. Let l(f) = f**2 + 0*f - h + f - 2 - 2*f. Determine l(0). -3 Let q(b) = -17*b - 1. Suppose 59*o + 24 = 83*o. What is q(o)? -18 Let s = 311 + -318. Let n(p) = -2*p - 7. Determine n(s). 7 Let y(s) = 5*s**2 - 6*s**2 + 3 - 8*s - s**2 - 1. What is y(-6)? -22 Suppose 3*g - 5*j = -9, 2*g + 3*j + 6 = -0*g. Let u(h) = h. What is u(g)? -3 Let k(m) = m**3 + 5*m**2 + 4*m - 1. Suppose 0 = -8*y + 4*y + 28. Let j = y - 10. Give k(j). 5 Let m(t) be the first derivative of t**2/2 - t - 2. Suppose -3 = 5*c + 2. Let y(k) = -8*k + 5. Let i(d) = c*y(d) - 4*m(d). Determine i(2). 7 Let r be (-3)/((-1 - -5)*45/(-660)). Let l(j) = -j**2 + 12*j - 12. Let x(m) = 2*m**2 - 23*m + 23. Let n(k) = r*l(k) + 6*x(k). Calculate n(6). 6 Let z(p) = 5*p + 4. Let t(f) = -24*f - 18. Let j(d) = 3*t(d) + 14*z(d). Give j(-2). 6 Let x(a) = 5*a**3 + 17*a**2 + 9*a - 14. Let r(p) = 2*p**3 + 6*p**2 + 3*p - 5. Let f(s) = -8*r(s) + 3*x(s). Let l be f(4). Let m(h) = h**2 + 6*h. Determine m(l). 0 Let f = 1401 - 1394. Let v(l) be the second derivative of l**4/12 - 3*l**3/2 + 9*l**2/2 + l. Calculate v(f). -5 Let x(d) = d**2 + 6*d - 1. Suppose 112 - 28 = 3*w. Let m be (w/10)/(16/(-40)). Give x(m). 6 Let y(a) be the first derivative of a**3/3 + a**2/2 - 22*a + 64. What is y(5)? 8 Let o be -3*3/9*3. Let y be (28/(-6))/(2/o). Let l(k) = -k + 8. Determine l(y). 1 Let l(z) = 4*z + 8*z**2 - 9*z**2 + 4 - 2*z. Let n(s) = s**2 + 6*s + 6. Let y be n(-4). Let q = y - -6. Calculate l(q). -4 Let w(s) = -4*s + 8. Let h be w(4). Let a = h + 8. Let p(t) = 2*t**3 + t + 0*t**3 + 7 + t**2 - t**3. Determine p(a). 7 Let r(j) = 9*j**2 - 6*j - 1. Let x(o) = -11*o**2 + 6*o. Let b(h) = 6*r(h) + 5*x(h). Determine b(-6). -6 Let n(h) = 7*h + 15. Let f(r) = -15*r - 32. Let u(m) = 6*f(m) + 13*n(m). What is u(-13)? -10 Let j be 0/((4 - 3)/(-1)) - -26. Let q(z) = -2 + z**2 + 0 + j*z - 22*z. Calculate q(-5). 3 Let h(d) be the third derivative of -1/120*d**6 - 6*d**2 + 0*d**4 + 0*d - 1/10*d**5 + 7/6*d**3 + 0. Let g be (-8 + 0)*(-15)/(-20). Calculate h(g). 7 Let i(j) be the third derivative of j**6/60 + j**5/30 - j**3/6 - 3*j**2. Let b(h) = 3*h**2 - h. Let u be b(-1). Suppose 8*c = 12*c - u. What is i(c)? 3 Let p(o) be the second derivative of -5/2*o**2 - o**3 + 0 - 1/12*o**4 + 19*o. What is p(-4)? 3 Let g(w) = -2*w + 2. Let h be 2/(-3) + 203/21. Suppose -2*d + 3 = -h. Determine g(d). -10 Let y(m) = 2*m**3 + 5*m**2 - 13*m + 8. Let k(d) = d**3 + 3*d**2 - 7*d + 4. Let z(l) = -11*k(l) + 6*y(l). What is z(4)? 16 Let b(t) = -2*t - 4. Let d(s) = 2*s + 26. Let k be d(-13). Suppose k*j + 8 = j + 2*l, -26 = -5*j - 3*l. What is b(j)? -12 Suppose -5*j + 1 = 2*f + 11, -2*j - 5*f = 25. Suppose j = 2*t + 2*t - 12. Let m be t*(30/9)/5. Let u(z) = -3*z. What is u(m)? -6 Let t(p) = -4664*p**2 + 4658*p**2 + 6 + 5*p**3 + 6*p - 4*p**3. Determine t(5)
{ "pile_set_name": "DM Mathematics" }
. 30*p**3 + 5*p**2 Expand (0 - 3 - 1)*(-3 + 3 + 3)*(5*d - d - 3*d) + (2*d - 4*d + 5*d)*(108 + 94 + 131). 987*d Expand (-2 - 7 - 4)*(2*v + 0*v - 4*v + (0*v - v + 0*v)*(4 - 3 + 1) - v + 0*v - 4*v + 5 - 2 - 4*v + 2*v). 143*v - 39 Expand (-3 + 4 - 3)*(5477 - 250*j**2 - 5477) + 0*j**2 + 0*j**2 + j**2 + 0*j - 5*j**2 + 0*j. 496*j**2 Expand (w + w - 4*w)*(3*w + 0*w - w) - 5*w - 15*w**2 + 29*w**2 - 8*w**2 + (23*w + 7*w + 31*w)*(0 + 2*w + 0). 124*w**2 - 5*w Expand (-2 + 1 + 0)*(-2*h - 5 + 5) + (41*h - 23*h + 51*h)*(5 - 4 - 3). -136*h Expand ((-2 - g + 2)*(4*g - 3*g + 0*g) - 6*g**2 - g**2 + g**2)*(2 - 5 + 4)*(-30 + 14*g + 30). -98*g**3 Expand 4*q**2 - 2*q**3 - 4*q**2 + (103212*q + 248*q**2 - 103212*q)*(2*q - 3*q - 3*q). -994*q**3 Expand (-2*x**3 - 11*x**4 + 12 - 12)*(-1 - 3 - 10). 154*x**4 + 28*x**3 Expand (3 + 3 - 5 + (-12 + 5 + 4)*(3 - 1 + 0) - 7 + 0 + 1 + 4 - 2 + 2)*(-2*o - 3 + 3). 14*o Expand -1781*v**3 - 1192*v**3 - 1610*v**3 - v**3 + 4*v**2 - 4*v**2 + (-v - 8 + 8)*(3*v**2 + 3*v**2 - 5*v**2). -4585*v**3 Expand (-52*b - 13*b - 50*b)*(-1 + b**3 + 1) - 6*b**4 - 2*b**4 + 0*b**4. -123*b**4 Expand (-81*b**3 + 10*b**3 - 20*b**3)*(-b**2 - 22*b**2 + 3*b**2). 1820*b**5 Expand 3 - 2 - 3 - 14*j + (-121*j - 211*j - 5*j)*(5 - 5 + 1). -351*j - 2 Expand (-3 + 2 - 1)*(4 - 1 - 9)*(-10*o + 22*o + 53*o - 3 + 3 + o + 3 - 3 + 2*o + o - 2*o - o + (1 - o - 1)*(-6 + 0 + 5) + 6*o - 3*o - 2*o - 3*o - 4 + 4). 780*o Expand -k**4 - k**4 + 0*k**4 + (-k**3 - 7*k**3 + 6*k**3)*(-13*k + 14*k - 42*k) + 2*k**4 - 2*k**4 - 2*k**4. 78*k**4 Expand (1 + 2 - 4)*(j - 3*j + 4*j + (0 + 0 + 3*j)*(2 + 5 + 3))*(-515 + 6*j + 515) + (4*j - 5*j + 3*j)*(1 - 1 + 2*j). -188*j**2 Expand (672 + 170 + 185)*(3*r - 29*r - 4*r - r + 3*r). -28756*r Expand 6739 - 3*w + 6749 - 13564 + w - 3*w + w + (-2*w - 2*w + 5*w)*(0 + 4 - 2). -2*w - 76 Expand (271*r**3 + 149*r - 149*r)*(9*r**2 + 7*r**2 - 12*r**2). 1084*r**5 Expand (-4*h**3 + 2*h**3 - 2*h**3)*(-49*h**2 + 103*h**2 - 48*h**2 - 52*h). -24*h**5 + 208*h**4 Expand (f**2 - 4 + 4)*(1574 + 3*f**2 - 2222 - 19091 - 18565 - 2*f**2). f**4 - 38304*f**2 Expand (-374*m + 376*m - 150 - 71)*(-2*m - 2*m - m). -10*m**2 + 1105*m Expand (-2*h - 2*h + 3*h)*(-3*h**2 + 2*h**2 - h**2) - 1254*h**3 + 2393*h**3 + 1683*h**3. 2824*h**3 Expand (3*a**2 - 4*a**2 + 0*a**2)*(96*a - 265*a - 133*a). 302*a**3 Expand (25*h + 231*h - h)*(-30 + 8 + 6). -4080*h Expand (-10959872 + 10959872 + 1142*i**3)*(-4*i**2 + i**2 + 2*i**2). -1142*i**5 Expand (0 - 4 + 2)*(-2 + 2 - 2)*(2*i**2 - 2*i**2 - 2*i**3)*(-1 + 1 + 3)*(1370447 - 1370447 - 1458*i). 34992*i**4 Expand (-1113 + 20*y + 1113)*(-5 - 39*y + 19*y + 23*y). 60*y**2 - 100*y Expand (x**4 + 0*x**4 - 3*x**4)*(-32363*x - 202 - 1521 + 32366*x) + (2*x**4 - 2*x**4 + x**4)*(x - 5*x + 3*x) + 0*x**5 + x**5 + x**5. -5*x**5 + 3446*x**4 Expand (-1 + 2*s**2 + 1)*(0 - 1 - 2)*(-1 - 18 - 50). 414*s**2 Expand (c + c - c)*(-100*c**4 - 164*c**4 + 1696*c**4 + (-c**3 + 2*c**3 + c**3)*(4*c - 4*c + 2*c) + 0*c**4 - 3*c**4 + 2*c**4). 1435*c**5 Expand (-10*x - 3*x - 7*x)*(-178*x**2 + 11266 - 11266). 3560*x**3 Expand (90*n + 56*n + 7*n)*(0*n - 8*n - 5*n). -1989*n**2 Expand (4*k - 4*k + 3*k)*(-k - 2 + 2) - 655*k**2 - 659*k**2 + 10*k + 1307*k**2 + 3. -10*k**2 + 10*k + 3 Expand -111*v**4 + 140*v**4 + 57*v**4 + (-3*v + 3*v + 2*v**2)*(-3*v**2 + 2*v - 2*v) + 2*v**4 - 5*v**4 + v**4 + (2 - 2 + 2*v**4)*(2 + 0 - 3). 76*v**4 Expand (0*m + 6*m - m)*(-3*m + 3*m - m**2) + 5*m - 13377*m**3 + 2*m**2 + m - 12 + 13381*m**3. -m**3 + 2*m**2 + 6*m - 12 Expand -10*r**3 - 35*r**3 - r + 4*r**4 - r**4 - 5*r**4 + 2 - 2 + (-r**3 + r**3 + 3*r**3)*(r - 2 + 2). r**4 - 45*r**3 - r Expand (5*x - 3*x - x + (-2*x + 1 - 1)*(804 + 1310 - 1675))*(x + x + 0*x + (-x + 0*x + 0*x)*(1 + 1 - 4) + 5*x + 0*x - 3*x). -5262*x**2 Expand 53*s**2 - 30*s**2 - 22*s**2 - 54*s**3 + (s**2 - 3*s**2 + 4*s**2)*(3 + 3*s - 3) - s**3 + 3 - 3. -49*s**3 + s**2 Expand (-276 - 166 - 373*g**4 - 128 + 372*g**4 - 506)*(-g + 4 - 4). g**5 + 1076*g Expand (-71*r**2 - 151*r + 151*r)*(r**3 - r**3 + r**3) - 2*r**5 + 0 + 0 + 154*r + r**5 + 138*r - 220*r. -72*r**5 + 72*r Expand (0 + 1 + 1)*(-27135947*q + 27135947*q - 2570*q**3). -5140*q**3 Expand (-26*f + 2 + 18*f - 1)*(712*f - 172*f**2 - 712*f). 1376*f**3 - 172*f**2 Expand (-1260*y - 134*y**4 + 1260*y - 2*y**2)*(-10*y - 13*y + 7*y). 2144*y**5 + 32*y**3 Expand -12*n + 4*n - 7*n + (-2*n + 0*n + 4*n)*(3 + 0 - 1) + 5*n + 0*n - 3*n + n - 4*n + 5*n. -7*n Expand (3*n**2 - 4*n**2 + 8*n**2)*(5 - 1 - 2) - 63*n**2 + 82*n - 82*n + (5*n + n - 4*n)*(-5*n + 5*n - n) + 3*n**2 - 5*n**2 + 0*n**2. -53*n**2 Expand -116*h**2 - 162*h**2 + 55*h**2 + (-3*h + 8*h - 3*h)*(7 + h - 7). -221*h**2 Expand 0 + 0 + t + (2 - 3 - 1)*(2*t - 5*t + 4*t)*(0 + 1 + 1)*((6 + 0 + 3)*(1 + 0 + 0) + 7 + 37 + 18). -283*t Expand (0 + 0 + 2*f)*(-53 - 673 - 2793 - 139 - 1713). -10742*f Expand (t - t - 2*t)*(4*t**2 + 2*t**2 - t**2) + 54*t**3 - 24*t**3 + 39*t**3. 59*t**3 Expand (3*j + 2*j**2 - 3*j + (-1 + 2 - 3 + 2*j)*(164*j + 46*j - 32*j))*(-7*j**3 + 0*j**3 + 3*j**3). -1432*j**5 + 1424*j**4 Expand (-1 + 1 + 2*p**2)*(2*p + 0*p + 0*p) - 3*p**3 + 4*p**3 - 2*p**3 + 5*p**3 + 8*p - 8*p + (57 - 141 + 63)*(-3*p**3 - p**3 + 3*p**3). 29*p**3 Expand (3*c - 4*c - 5*c)*(0 + 8 - 2) + (0 + 0 + 3)*(2 - 3 - 1)*(-6*c - 7*c + 2*c). 30*c Expand (-5*n + 4*n - n)*(17*n**3 + 23*n**3 + n**3 + (3 - 2 + 0)*(3*n**3 - 4*n**3 - n**3) + 2*n**3 - n**3 - 2*n**3 + 15*n**3 + 28*n**2 - 28*n**2). -106*n**4 Expand (2 + 0 - 3)*(-2*h + 22267*h**3 + 4*h + 2 - 39*h**2 - 22266*h**3). -h**3 + 39*h**2 - 2*h - 2 Expand -645214 + 645214 + 2915*u**2 + (3*u**2 + 0*u**2 - u**2)*(4 + 1 - 4). 2917*u**2 Expand (-4376*k**2 + 2 + 8552*k**2 + 1 - k - 4408*k**2)*(-6*k**2 + 3*k**2 + 0*k**2). 696*k**4 + 3*k**3 - 9*k**2 Expand (3*i**3 + 0*i**3 - 5*i**3)*(-5 - 26 + 5)*(-2 + 2 + 2*i**2). 104*i**5 Expand (0*l**2 + l**2 + 0*l**2)*(-85*l - 2233310*l**2 + 2233292*l**2 - 32*l). -18*l**4 - 117*l**3 Expand (4*k - 23*k - 23*k)*(7*k**3 - 19*k**3 + 4*k**3) + (-82 - 4*k + 82)*(2*k**3 - 2*k**3 + k**3). 332*k**4 Expand (1043 + 90*j - 87*j - 1286)*(-6 - 8 + 4). -30*j + 2430 Expand (-3*u**2 - u**2 + 5*u**2)*(-4*u**2 + u**2 + 2*u**2) + 3246*u**4 - 1442489 + 1442489. 3245*u**4 Expand (-1857*o + 6634*o**4 - 6636*o**4 - o**3 + 2*o**3)*(5 - 4 + 1). -4*o**4 + 2*o**3 - 3714*o Expand 0*v + 0*v + v**3 + (1 + 3*v**2 - 1)*(2*v - 2*v - 2*v + (1 - 4 + 5)*(4*v - v - 5*v) + 5*v + 6*v - 6*v) - 17*v**3 - 17*v**3 + 2*v**3. -34*v**3 Expand (-16 + 416 + 99 - 111)*((k - 5*k + k)*(-3 - 1 + 3) - 5*k + k + 3*k). 776*k Expand (-1 + 1 + 2)*(963 + 1097 - 1186)*(-2 - 2 + 3)*(2*i - i - 3*i). 3496*i Expand (1 + 2 + 0)*(3*w - 3*w - w)*(-3 - 2 - 1 + (-3 + 2 + 2)*(4 + 1 - 3) - 64 + 82 + 41). -165*w Expand (-2*q**4 - 5*q**4 + 3*q**4)*(-2 - 8 + 1) + (-3*q + 2*q + 2*q)*(-3*q**3 + 12*q**3 - 5*q**3). 40*q**4 Expand (-67 + 439 - 1153 - 505 - 1258)*(v + 19 - 22 + v). -5088*v + 7632 Expand (5 - 1 - 2)*(-d**2 - 9*d**2 + 11*d**2) + (0 + 1 - 4)*(10*d**2 - 3*d**2 + 8*d**2). -43*d**2 Expand (-3*u + 0*u + u)*(-3*u**2 + 3*u**2 + 5*u**2) + 169*u**3 - 289*u**3 + 186*u**3 + 8*u - 8*u - 8*u**3. 48*u**3 Expand (-2 + 4 + 3)*(3 - 1 - 1)*(-56*m + 49*m + 19*m + 29*m). 205*m Expand -763*y**4 + 427*y**4 + 440*y**4 + (2*y**4 + 4*y**4 - y**4)*(7 - 4 - 4). 99*y**4 Expand (-19*n + 30*n - 21*n)*(1 + 1 - 1)*(-2 + 476*n - 481*n - 6). 50*n**2 + 80*n Expand (-4 - 1 + 3)*(-61 + 78 - 3*w + 57). 6*w - 148 Expand 1387 - 1387 + 401*q**2 - 2*q**2 - 2 + 2 + (3*q**2 + 0*q**2 - q**2)*(-13 - 2 + 4) + 1 + q**2 - 1. 378*q**2 Expand f + f**4 - f + (318 + 1163 - 271)*(-4*f**4 + 2*f**2 - 2*f**2). -4839*f**4 Expand (8 - 8 - s**4)*(197*s - 99*s - 100*s - 145). 2*s**5 + 145*s**4 Expand 3*p - 2*p**4 - 3*p + (4*p - 2*p**2 - 4*p)*(-2 + 2 - 2*p**2) + 0 - p**4 + 0 + 3*p**4 - 2*p**4 - 3*p**4 - 26*p**4 - 50331*p**3 + 50355*p**3 + 22*p**4. -5*p**4 + 24*p**3 Expand (1302 - 1099 + 873 + 5346)*(-2*c - 3*c + 3*c). -12844*c Expand (w - 12*w + 12*w - 12*w**3)*(-2*w - w + w + (-1 + 2 - 2)*(3 - 4*w - 3)). -24*w**4 + 2*w**2 Expand ((0*j + 2*j + 7*j)*(-17*j + 269*j - 15*j) + (-2 - 1 + 4)*(2*j**2 - j + j))*(-6*j**2 + j**2 + 3*j**2). -4270*j**4 Expand (1 - 4 + 16)*(-80*m**2 + 121*m**2 - 95*m**2). -702*m**2 Expand (269 - 269 + 25*w)*(-2*w - 4 + 4) + 39 - 39 + 95*w**2. 45*w**2 Expand (3722*z + 269 - 191 - 78)*(-2*z - 5*z + 0*z). -
{ "pile_set_name": "DM Mathematics" }
t is 11101011111111 (base 2) in base 13? 6b4a Convert -10001111 (base 2) to base 16. -8f 11027 (base 9) to base 11 5550 -132 (base 12) to base 13 -110 What is 632 (base 11) in base 2? 1011111001 54a (base 15) to base 7 3325 Convert -5630 (base 9) to base 12. -24a6 Convert 2241 (base 5) to base 4. 11001 -267 (base 10) to base 15 -12c Convert 401514 (base 6) to base 7. 160603 20431 (base 5) to base 16 556 Convert -321222 (base 7) to base 3. -2211101020 Convert 2534 (base 12) to base 15. 13b1 What is 1111220 (base 3) in base 10? 1104 Convert 10056 (base 7) to base 13. 115b What is -1230211 (base 4) in base 11? -5248 Convert -120200 (base 4) to base 15. -6e8 Convert -1674 (base 8) to base 15. -43b 55205 (base 9) to base 15 acb2 What is 22548 (base 10) in base 13? a356 -1000111001 (base 2) to base 16 -239 Convert 1200312 (base 5) to base 8. 52705 a1a (base 11) to base 6 5411 -13553 (base 7) to base 6 -25105 -38 (base 11) to base 12 -35 What is 10445 (base 7) in base 15? ba5 What is -6a91 (base 12) in base 15? -37e7 -110000001 (base 2) to base 10 -385 What is 1b8 (base 13) in base 8? 500 Convert c4b (base 13) to base 9. 2773 Convert 40b1 (base 13) to base 2. 10001011100100 Convert 4085 (base 9) to base 16. bb1 Convert 2433 (base 6) to base 3. 211010 7126 (base 10) to base 5 212001 -865 (base 11) to base 12 -727 Convert 72 (base 16) to base 9. 136 10141 (base 5) to base 7 1646 What is 302012 (base 4) in base 16? c86 What is 2976 (base 10) in base 8? 5640 -22521 (base 8) to base 6 -112121 Convert -22 (base 8) to base 14. -14 Convert -201322 (base 4) to base 14. -b10 101010 (base 4) to base 7 3120 What is 15361 (base 9) in base 14? 3b84 Convert -250 (base 10) to base 14. -13c 431 (base 14) to base 7 2261 What is 1000100 (base 3) in base 13? 44a Convert 1003323 (base 5) to base 15. 4b78 What is -1021120 (base 3) in base 14? -4a9 Convert 1a5b (base 15) to base 8. 13117 -1e81 (base 16) to base 14 -2bbb What is 11013 (base 6) in base 16? 5f1 What is 47a (base 12) in base 16? 29e What is f6f (base 16) in base 3? 12102100 What is -1b94 (base 12) in base 9? -4624 -103102 (base 5) to base 12 -205b What is 2dd (base 15) in base 10? 658 What is -a3 (base 14) in base 16? -8f Convert -1100001000010 (base 2) to base 12. -3716 Convert 11212 (base 3) to base 6. 335 Convert 2230 (base 10) to base 2. 100010110110 Convert -db (base 15) to base 16. -ce Convert -663 (base 12) to base 14. -4b1 -1303 (base 5) to base 12 -14b 100011111 (base 2) to base 15 142 -d8 (base 14) to base 10 -190 -28b (base 16) to base 6 -3003 -a74e (base 16) to base 4 -22131032 What is -111100111000111 (base 2) in base 16? -79c7 Convert 1120001 (base 3) to base 14. 5b1 What is 1519 (base 10) in base 6? 11011 120 (base 14) to base 7 440 What is -101010111000 (base 2) in base 11? -2075 What is -142 (base 11) in base 5? -1132 21849 (base 10) to base 12 10789 101000100 (base 2) to base 4 11010 Convert 32220 (base 4) to base 5. 12221 35d (base 15) to base 11 634 Convert -9a (base 16) to base 2. -10011010 Convert -12132 (base 6) to base 15. -7de Convert 5314 (base 7) to base 10. 1873 -6c5 (base 13) to base 8 -2227 b515 (base 13) to base 10 25030 -13241 (base 12) to base 9 -40014 What is -41991 (base 10) in base 13? -16161 Convert -1241042 (base 5) to base 11. -17473 -3515 (base 13) to base 9 -11202 Convert -536 (base 7) to base 3. -101002 What is 1001000100101001 (base 2) in base 6? 444013 Convert 18586 (base 9) to base 13. 5b26 What is 1022020 (base 3) in base 12? 673 -738 (base 9) to base 8 -1132 Convert -780 (base 16) to base 7. -5412 -4322 (base 5) to base 7 -1466 What is -1101010000101 (base 2) in base 9? -10273 What is 5536 (base 10) in base 5? 134121 -202100 (base 3) to base 6 -2313 Convert a944 (base 11) to base 13. 6764 Convert 135a0 (base 12) to base 7. 141006 Convert -21001 (base 3) to base 4. -2332 What is 302312 (base 4) in base 2? 110010110110 -898 (base 10) to base 12 -62a -112110 (base 4) to base 15 -653 What is 4545 (base 6) in base 11? 896 347 (base 13) to base 6 2342 989 (base 12) to base 7 4041 Convert -615 (base 7) to base 13. -1a7 What is -1031003 (base 4) in base 2? -1001101000011 Convert -3109 (base 13) to base 11. -50a4 Convert -2000 (base 6) to base 13. -273 30312302 (base 4) to base 6 1043442 -133a (base 14) to base 15 -1009 What is 5593 (base 16) in base 12? 10817 Convert 330a (base 14) to base 12. 513a -11587 (base 11) to base 16 -4120 2664 (base 7) to base 10 1026 14234 (base 11) to base 9 30683 What is -31003 (base 4) in base 9? -1127 What is -21126 (base 7) in base 8? -12136 Convert -2b0 (base 12) to base 5. -3140 What is -1104 (base 9) in base 12? -57a Convert -4c28 (base 15) to base 3. -211021102 What is -14 (base 7) in base 11? -10 Convert -14053 (base 6) to base 5. -32233 Convert 8715 (base 9) to base 16. 190d Convert -121210 (base 3) to base 10. -453 What is -240 (base 10) in base 2? -11110000 Convert -14233 (base 5) to base 11. -995 10132130 (base 4) to base 8 43634 What is -1088 (base 9) in base 11? -676 87 (base 9) to base 3 2221 410 (base 11) to base 4 13233 Convert -1010112100 (base 3) to base 4. -11123301 2234 (base 13) to base 11 3651 10c9 (base 15) to base 7 13251 Convert 300000 (base 4) to base 15. d9c -10001110 (base 2) to base 6 -354 5b1b (base 13) to base 8 31104 Convert 249 (base 16) to base 7. 1464 What is 12221010 (base 3) in base 14? 180b Convert 110110111 (base 2) to base 9. 537 What is 300 (base 6) in base 13? 84 Convert 200201 (base 3) to base 16. 1f9 What is -1143 (base 9) in base 15? -3b9 -12a61 (base 11) to base 3 -221111011 0 (base 11) to base 8 0 -1740 (base 8) to base 2 -1111100000 What is -111001011001101 (base 2) in base 9? -44274 What is 8356 (base 15) in base 12? 14090 -1658 (base 16) to base 14 -2128 Convert 5677 (base 8) to base 15. d57 -1011011001101011 (base 2) to base 13 -18343 What is -21631 (base 8) in base 4? -2032121 What is 2021021 (base 3) in base 16? 676 Convert 4bc (base 13) to base 2. 1100111111 277 (base 13) to base 4 12310 What is -6525 (base 7) in base 8? -4422 -311 (base 14) to base 10 -603 What is -2bd1 (base 16) in base 2? -10101111010001 3033 (base 12) to base 4 1101213 What is -115 (base 9) in base 10? -95 -12031 (base 4) to base 15 -1b7 -6c8 (base 13) to base 2 -10010011010 What is 4276 (base 15) in base 3? 201021210 5704 (base 12) to base 14 3736 Convert -261 (base 11) to base 4. -10311 What is 3a55 (base 12) in base 11? 5031 -544 (base 6) to base 2 -11010000 Convert -413 (base 13) to base 8. -1264 Convert 391 (base 10) to base 16. 187 What is -110110111 (base 2) in base 9? -537 What is 1420 (base 6) in base 14? 1c8 Convert 777 (base 12) to base 13. 667 -40440 (base 6) to base 5 -132402 61504 (base 8) to base 16 6344 -399 (base 16) to base 10 -921 -1152 (base 8) to base 16 -26a What is 412 (base 13) in base 6? 3111 2d06 (base 14) to base 4 1331222 Convert 712 (base 10) to base 9. 871 Convert 3654 (base 11) to base 3. 20112222 -2334 (base 7) to base 10 -858 Convert -251 (base 15) to base 2. -1000001110 What is 140303 (base 5) in base 16? 1647 -253 (base 9) to base 4 -3102 Convert 1645 (base 9) to base 8. 2350 Convert -14752 (base 8) to base 2. -1100111101010 What is -37173 (base 9) in base 8? -60545 -3562 (base 12) to base 9 -8172 What is -9038 (base 12) in base 11? -10799 What is 3983 (base 10) in base 4? 332033 Convert -100000110 (base 2) to base 14. -14a What is -4601 (base 11) in base 14? -22c3 Convert -1506 (base 10) to base 3. -2001210 What is -10011200210 (base 3) in base 13? -22587 2520 (base 6) to base 9 763 What is -8a91 (base 13) in base 11? -13622 Convert -8426 (base 9) to base 12. -36b0 What is 2e6 (base 16) in base 3? 1000111 Convert -2113 (base 5) to base 14. -163 Convert 2331 (base 9) to base 7. 5020 Convert -156 (base 7) to base 6. -230 What is -7e6 (base 15) in base 12? -1053 -1255 (base 6) to base 9 -388 What is 1240 (base 7) in base 10? 469 Convert 444 (base 10) to base 2. 110111100 -1710 (base 9) to base 15 -5c0 Convert 22c (base 13) to base 6. 1424 3438 (base 12) to base 2 1011010101100 2252 (base 6) to base 9 655 Convert -20102 (base 3) to base 15. -b8 Convert 16766 (base 10) to base 9. 24888 What is -40300 (base 6) in base 14? -1d00 Convert 110210 (base 5) to base 10. 3805 -b27 (base 13)
{ "pile_set_name": "DM Mathematics" }
ue? (a) -1 (b) 2/9 (c) 0.126 (d) -4 (e) -2 (f) 13 d Which is the third smallest value? (a) -2 (b) 8 (c) -267 (d) 7/5 d What is the second smallest value in -1/6, -5260, 3/7, -2/11, 3? -2/11 What is the third biggest value in 0.16, 90/181, 2/3? 0.16 Which is the second biggest value? (a) -2/1785 (b) -0.2 (c) 1.99 a Which is the fourth smallest value? (a) -7 (b) -1/9 (c) -1 (d) -22 b What is the fifth smallest value in 0.4, -0.1, 1.2, 1/5, -89? 1.2 What is the third smallest value in -124, 4, -2, -0.09, 6? -0.09 What is the second smallest value in 71.6, 2/3, 1108? 71.6 What is the second biggest value in -1/4, 1, 421, -1, -46? 1 What is the fifth biggest value in 4, -4, -0.1, -40, -2/5, -31/3? -31/3 Which is the fifth biggest value? (a) -1 (b) 3 (c) 11540 (d) -2 (e) 4 d What is the sixth smallest value in 1/5, -1, 132, -0.3, 0, -6? 132 What is the third biggest value in 14, 5147, 2/41? 2/41 What is the fourth biggest value in 31, 1.81, 65, -3? -3 Which is the second smallest value? (a) -0.7 (b) 2 (c) -2 (d) 1/6 (e) -1/8 a Which is the fourth smallest value? (a) -13 (b) 4 (c) -25/2 (d) -0.6 b Which is the fifth smallest value? (a) 4 (b) 2.26 (c) -3 (d) -2 (e) 1/2 (f) 2 b Which is the third smallest value? (a) -3/2 (b) 1/7 (c) 3 (d) -49 b Which is the smallest value? (a) -19 (b) -0.4 (c) -1 (d) -2/7 (e) -31 (f) 22 e What is the biggest value in 3, -0.3, -5, -12.8, 3/2, -3/7? 3 Which is the fifth biggest value? (a) 2/5 (b) -2 (c) 2/21 (d) -1/2 (e) -1/184 b What is the smallest value in -3/26, 0.39, -4/5, 0? -4/5 What is the biggest value in -148, 2/15, -820? 2/15 What is the smallest value in 0.35, 5, 1, -15.8, -0.2? -15.8 What is the second smallest value in -0.5, 100, -1/5, 4/17? -1/5 What is the fourth biggest value in -8/1057, 15, -4, -0.4? -4 Which is the second smallest value? (a) 48 (b) -421 (c) -3/2 c Which is the third biggest value? (a) 0.2 (b) -3 (c) -285 (d) -83 d Which is the fourth smallest value? (a) 0.4 (b) 4 (c) 33 (d) 41 d Which is the fourth biggest value? (a) -0.09 (b) -9.45 (c) -0.4 (d) -1 b What is the second biggest value in -3/5, 0.058, 6, -2/5, -6/7? 0.058 What is the second biggest value in -0.8, 0, 1/2, 268? 1/2 Which is the second biggest value? (a) 750455/4 (b) 2/9 (c) -1 b Which is the fifth biggest value? (a) -2/3 (b) -1/8 (c) 5 (d) 1/2 (e) 2 (f) -1.16 a Which is the third smallest value? (a) -2 (b) 1 (c) 2.41266 c What is the smallest value in 11065, 3/5, 2/55? 2/55 What is the third smallest value in -19/3, -0.1, 0.2, -6/5? -0.1 What is the third smallest value in -19168, 11, 1? 11 Which is the biggest value? (a) 3760.3 (b) -3/7 (c) 0.4 a What is the biggest value in -12, 164, 4, -31, -3, -0.3? 164 What is the fifth smallest value in 3/4, -30, 109, 7, -1? 109 Which is the third biggest value? (a) 0.03 (b) -0.3 (c) -16.9 c What is the second smallest value in -193, -0.1, -1.3, -5, -8? -8 Which is the biggest value? (a) -2/21 (b) -3 (c) 193 (d) 1/2 (e) -6 c What is the second biggest value in 0.1, 0, 0.075, -54, -0.5, -7/5? 0.075 What is the second smallest value in -6/11, -5, 3.16, -0.785? -0.785 Which is the sixth biggest value? (a) 2 (b) 11 (c) 0 (d) -2 (e) 3 (f) 649 d Which is the second biggest value? (a) -0.5 (b) -1/417 (c) 2 (d) 1 d Which is the sixth biggest value? (a) -4 (b) 2/27 (c) -2/7 (d) 37 (e) 0.3 (f) 3 a Which is the fourth smallest value? (a) 1 (b) -4 (c) 0.5 (d) 28 (e) 4/7 a What is the fourth biggest value in -5, 29, 2, 0.0371? -5 What is the third biggest value in -3, 5/4, -35.96? -35.96 What is the second biggest value in -522, 3/5, -0.04, -1/3, 0, -5? 0 Which is the second smallest value? (a) -0.4 (b) -5 (c) 0.1 (d) 7 (e) 0.05 a What is the second smallest value in 23, 26, 19? 23 What is the fifth biggest value in 0.4, -7638, 1/10, -2, 0.3? -7638 Which is the smallest value? (a) -1 (b) 0.2 (c) -2/17 (d) -0.5 (e) -0.51444 a Which is the third smallest value? (a) 190 (b) -49 (c) 2/7 a Which is the third biggest value? (a) -5 (b) 374 (c) 1/6 (d) 7 c Which is the third smallest value? (a) 4 (b) -0.21006 (c) -0.06 (d) -2 c What is the fourth biggest value in -0.3, -5, -56/95, -1/5, 4? -56/95 Which is the sixth smallest value? (a) -1/7 (b) 1 (c) -1/6 (d) -3 (e) 2212 (f) -2 e What is the sixth biggest value in -0.09131, -0.4, 7/4, 4, -1, 2/3? -1 What is the second smallest value in 0.05, -0.5, -0.1, -132/5, 2/17? -0.5 What is the smallest value in 1/3, -0.4708, -236? -236 What is the fifth smallest value in -0.1, -2/5, 21, -1, 19.9? 21 What is the fifth biggest value in -2/5, 3, 1/6, -0.7, 13/20? -0.7 Which is the third smallest value? (a) 42 (b) -1/6 (c) 1/16 (d) 2/13 d What is the fifth biggest value in 5/6, -1/20, 1/21, -0.02, 0.5? -1/20 Which is the third biggest value? (a) -3 (b) -0.4 (c) 3/7 (d) -0.5 (e) -1686 d What is the third biggest value in 6/5, -2, 1/2, 368? 1/2 Which is the second biggest value? (a) -37 (b) 5 (c) -3 (d) 6/5 d What is the second biggest value in -3, 71, -5/7, 3, 1.5, -2/11? 3 What is the smallest value in -3993, 3, 4, 84, -2/13? -3993 What is the third biggest value in 1/8, -2/5, -4, 1/4, 1/5, 6/49? 1/8 Which is the biggest value? (a) 0.3 (b) 38/2163 (c) -2/3 a Which is the sixth biggest value? (a) -4 (b) 4/7 (c) -0.2 (d) -2/5 (e) -27 (f) -9/10 e Which is the second biggest value? (a) -15 (b) -411 (c) 13 (d) -0.2 d Which is the fifth biggest value? (a) 1/4 (b) -0.2 (c) 0.5 (d) -4 (e) -1497 e Which is the fourth biggest value? (a) -52 (b) -0.4 (c) -2 (d) 5/11 a What is the fifth smallest value in 2/5, -1/31, -4/3, 2, -1? 2 What is the third smallest value in -86, -0.8, -3/4, 1? -3/4 What is the third smallest value in 1, -1/141, 50, -2/11, -1/3? -1/141 What is the smallest value in -490, 9, -2? -490 Which is the biggest value? (a) -1/9 (b) 1.3 (c) -4 (d) 26 d Which is the second smallest value? (a) 11841/10 (b) 4/3 (c) -1/2 (d) -3/2 (e) -1/6 c What is the second biggest value in 2/15, -3, 0.24, -2/19, 0.05? 2/15 What is the smallest value in 53, -9857, 5, -0.2? -9857 Which is the second biggest value? (a) 34/5 (b) 89 (c) 1 (d) 0.107 a Which is the second biggest value? (a) -2/41 (b) 3 (c) 76 (d) -4 b What is the second biggest value in -48, 12, -2, -0.4? -0.4 What is the second biggest value in 5, -527.5, -2, 0.07? 0.07 What is the fourth smallest value in -2, -460, 1.6, -2/7? 1.6 Which is the third smallest value? (a) 0.4 (b) -3/176 (c) 5/2 (d) 3 c Which is the biggest value? (a) -5/3 (b) -228 (c) -0.13 (d) -2/11 c Which is the biggest value? (a) 6 (b) 10 (c) 11 (d) -34 (e) 0.2 c Which is the fourth smallest value? (a) -0.2 (b) -24/83 (c) 2/5 (d) 0 c What is the fourth biggest value in 4, 0.2, 98/5, 0.3, -2? 0.2 What is the second biggest value in 12/11, -0.2, 30/61? 30/61 Which is the fourth biggest value? (a) -0.07 (b) 4 (c) -2/3 (d) -1.7 (e) -0.01 (f) 5 a What is the third smallest value in -0.1, 10/7, -3, -1/11, 12/5? -1/11 Which is the smallest value? (a) 0 (b) 2 (c) 3 (d) -11/5 (e) -58 e Which is the smallest value? (a) 4 (b) -3/5 (c) 1/4 (d) -0.4 (e) 225 (f) -5/6 f Which is the third smallest value? (a) -3/4 (b) -2/9 (c) -2 (d) 2 (e) 1/3 b Which is the second biggest value? (a) -2/3 (b) -3 (c) -7 (d) -1 d Which is the fifth biggest value? (a) 4 (b) -2 (c) -30 (d) -11/5 (e) 6 (f) -0.3 d Which is the fourth smallest value? (a) -3/5 (b) 733 (c) 8 (d) 0.4 b What is the second biggest value in -10, 8, 33, 0.3, -5? 8 What is the fifth biggest value in -4/5, 0.3, -765, -2, 3.4? -765 What is the third biggest value in -5, 9459, -1/3? -5 Which is the third biggest value? (a) -3 (b) -6/7 (c) -2/15 (d) 0 (e) -3/58 c What is the fourth biggest value in -1/6, -9, 5/26, -0.01, -2/45? -1/6 Which is the biggest value? (a) 7/4 (b) 11 (c) 0 (d) 87 (e) -2/7 d What is the smallest value in -3, -8, 0.3, 10/49? -8 What is the fourth biggest value in 0.3, -5, 81, 0.0624? -5 Which is the second biggest value? (a) -3/5 (b) 22 (c) -1/4 (d) 0.3 (e) -4 d Which is the fourth biggest value? (a) -0.05 (b) -4 (c) 7.16 (d) -3 b What is
{ "pile_set_name": "DM Mathematics" }
posite? False Suppose -174*x + 183*x = 648549. Is x prime? False Suppose -5*v - 80*a + 167873 = -77*a, -33553 = -v + 3*a. Is v prime? False Let r(l) = -220*l - 3. Let d = 135 + -131. Suppose 0 = -2*g + d*i + 12, -g - 3*i - 1 = 13. Is r(g) a prime number? False Suppose 0 = 6*k + 11*k - 228973. Is k a composite number? False Let c(l) = 23*l**3 + 3*l**2 + 76*l - 55. Is c(16) a composite number? False Let t = -41 + 37. Let m be -7 - (-1 - t - 2). Is 44/m*2*-17 a composite number? True Suppose -7*t + 67 = 4. Suppose -t*z + 3*z + 858 = 0. Suppose 766 = h + z. Is h a prime number? False Suppose 16*f - 25*f - 1206 = 0. Let x = f + 201. Is x prime? True Suppose v - 5 = 0, 0 = -220*h + 217*h - 3*v + 299478. Is h a prime number? False Suppose 480113 = 77*k - 850986. Is k a composite number? True Let h(f) = 5040*f**2 + 50*f + 107. Is h(-6) a prime number? False Suppose 3*p + 5*z = 1845852, 0 = -5*p - 4*z + 3983682 - 907249. Is p a prime number? True Let c be -4 + (3 - 2) - -22. Let p = -3 - c. Let u = p - -57. Is u a composite number? True Let b(l) = -l**2 + 24*l + 2. Let j be b(24). Let a be -528 + -4*4/8 + j. Is 1/(3 + -2 + a/530) composite? True Suppose -60*t + 355898 = -834922. Is t a prime number? False Let b(f) = 10*f - 47. Let z be b(5). Is 1/(-2)*z/((-6)/25708) composite? False Let b be (6/(-3) + 1)*(6 + -547). Let a = b - 261. Let r = 491 - a. Is r prime? True Let h(c) = 16*c**3 - 8*c**2 - 23*c + 88. Is h(9) composite? True Is (-9785732)/33*12/(-16) prime? True Suppose -2*v = 12*t - 7*t - 29831, -2*t + v + 11927 = 0. Suppose 51*x = 46*x + t. Is x a prime number? True Is ((-164654)/532)/(1/(-2018)) composite? True Let g be 25/(-8)*10 + (-3)/4. Let j(f) = -135*f + 53. Is j(g) a composite number? False Let u(q) = -30*q**3 - 2*q**2 + 3*q + 4. Let v(c) = -c**3 + 2*c**2 - 2*c + 12. Let t be v(3). Is u(t) a composite number? False Is ((-5)/(-10))/(90/17395740) composite? False Let z(c) be the second derivative of 7*c**3/3 + 4*c**2 - 3*c + 198. Suppose 2 + 12 = 2*g. Is z(g) a composite number? True Let p be (-88)/(-4) + -4 + -1. Suppose -4*g + 2*j - p = -3*j, 15 = 3*j. Suppose 8*o + g*h = 5*o + 1433, -2*h = -5*o + 2415. Is o a composite number? True Suppose 0 = -3*a + 15, 5*b + 3*a - 41 = 274. Is ((-680)/b)/(6/(-2421)*1) a composite number? True Is -8 + 7 + (-6210)/(-9) composite? True Suppose 190*h - 152*h = 7995998. Is h prime? True Suppose -4*o - 6 = -2*v, 0 = 2*o - 2*v - 0*v + 8. Let d be 1634 - (6 - 9) - (-2 - o). Suppose -d = -3*k - 287. Is k a prime number? False Let w(m) = 58*m**3 - 10*m**2 + 20*m - 474. Is w(16) prime? False Let x = -36 - -43. Suppose -x*q + 28484 = -20481. Is q composite? True Let y(r) be the first derivative of 13*r**5/10 + r**4/24 - 2*r**3 - 10*r**2 - 30. Let v(h) be the second derivative of y(h). Is v(5) a composite number? True Suppose 638*q - 634*q - 45716 = 0. Is q prime? False Suppose 5*w - 214784 = -3*o, 0 = -2*o + 3*w - 5*w + 143188. Is o a composite number? False Is (-1259619)/(-11) - 28/(-154) prime? False Suppose -3*o + 599 + 9040 = 0. Let z be o + (3 + 0 - 6). Let j = 5543 - z. Is j a prime number? True Let o be 1 + 9 + 0 + -5. Suppose a - 83 = 3*w - 7342, o*a = -5*w + 12085. Is w composite? True Let i = -34860 + 181363. Is i a prime number? False Let i(m) be the second derivative of 181*m**4/12 - m**3/3 - m**2/2 - 7*m. Let h be (0 - 5)*22/(-55). Is i(h) prime? True Let t(q) = -31821*q + 140. Is t(-3) prime? True Suppose 14*b - 18*b + 520 = 0. Let u = b + -126. Suppose -1283 + 13912 = u*r - q, 0 = 2*q - 6. Is r composite? True Let q(i) be the third derivative of 17*i**4/2 + 89*i**3/6 - 4*i**2 + 6. Is q(11) a prime number? True Let b be ((-4)/(-8))/((-4)/(-24)). Suppose -4*s + 19648 = -2*q, -3*q = b*s - 8597 - 6139. Suppose -s = -5*u + 2393. Is u prime? False Let f(s) = 60374*s**2 + 33*s - 23. Is f(2) a prime number? False Suppose -4*w = -8, 4*w + 2 - 58 = -3*g. Suppose 0 = -5*f + g - 6. Is f a prime number? True Suppose -170 = 3*u + 2*u. Let c = -9207 - -9774. Let q = c + u. Is q a composite number? True Let z = -148 - -152. Suppose 0 = -l - 5*g + 3859 - 1273, -12901 = -5*l + z*g. Is l prime? False Suppose 180 = 4*r - 2*z, 3*z - 318 = -5*r - 115. Suppose -r*c + 35434 = 3872. Is c a composite number? True Let m = -246 + 277. Suppose -1668 = -m*f + 6113. Is f composite? False Suppose -81*v = -124*v + 1144961. Is v a prime number? True Let u(z) = 81*z + 103. Suppose 9*q - 203 + 23 = 0. Is u(q) a composite number? False Suppose -2*d + 4*d + y + 23 = 0, d + 16 = y. Let q(i) = 2*i**2 + 23*i - 3. Let j be q(d). Let m = j - -815. Is m composite? True Let h = -136 - -66. Let p be (58 - -1)*(11 + h). Let n = -2058 - p. Is n a prime number? True Suppose -36899186 = -212*o + 35967122. Is o prime? True Suppose 0 = -4*u + 3*v + 444785, 89*u - 3*v + 555934 = 94*u. Is u a prime number? True Let g(k) = -6*k - 24. Let w be g(-6). Suppose 4*p + 0 = w. Is 1211 + (p/(-12) - 30/8) composite? True Suppose -3*t = -w + t + 1135, 0 = -t - 5. Let p = -15 - -19. Suppose -p*u + w = -225. Is u prime? False Let j(m) = m**3 + 36*m**2 + 68*m - 11. Let g be j(-34). Let x(a) = -13*a**3 + 5*a**2 - 11*a - 16. Is x(g) prime? True Let m(p) = -p**3 + 25*p**2 + 91*p - 194. Let h be m(28). Suppose r = 2*r + 10. Is (-6408)/r - ((-22)/10 + h) a prime number? True Let a = -78 - -91. Suppose a*f = 8*f + 10880. Suppose -14*u + 52478 = f. Is u a composite number? False Suppose -d = 5*l + 23, 0 = 3*l + 3*d - 4*d + 9. Is (-2*(-6)/18)/(l/(-14142)) a composite number? False Suppose 5*k = -5*n + 893660, -6*k + 178720 = -5*k + 5*n. Is k a composite number? True Let k = -58051 + 86468. Is k prime? False Suppose 5*u + 4*n = 1753077, -2*n = 4*u - 935721 - 466743. Is u composite? False Is (0 + 2)/((3168/4142832)/33) a composite number? True Suppose -2*d - 706 = 4*f, 9*d - 14*d - 1735 = 4*f. Let x = d - -3202. Is x composite? True Let c(i) = 470*i - 2. Let g be c(4). Suppose b - g = -4*b + 2*m, -3*b + 1124 = -4*m. Suppose b = 12*n - 1292. Is n composite? False Suppose 9 = -3*h + 5*w, 2*h - w = h - 1. Suppose -b + 5*g + 6120 = -2600, 4*g = h*b - 17422. Is b a prime number? False Let w(j) = 553*j - 1476. Is w(43) a prime number? True Let r be ((-196)/(-70))/((-1)/78180*-1). Is -2 + (1/3 - r/(-36)) a composite number? False Suppose 43*h = 7658936 + 7268769 + 15580236. Is h prime? False Let a = -38207 + 56778. Suppose 0 = -5*i - 20, 5*i - i = 3*n - a. Is n a prime number? False Let k = 4350 + 3587. Let b = k - 1126. Suppose -o - 4*a = -b, 6*a = o + 8*a - 6807. Is o a prime number? True Suppose -z + 5*n + 928 = 0, -2*n - 1832 = -z - z. Suppose 2*h - 10 = -0*h. Suppose -6*b + z = h*b. Is b composite? False Let d(f) = 8*f**2 + 22 + 12 + 73 - 6*f + 87 - 53. Is d(31) prime? True Suppose 116*p + 370*p - 54805734 = 0. Is p a prime number? False Let q be 35/(-15)*246/(-4)*-2. Let c = q + 954. Is c a prime number? False Let h(g) be the third derivative of g**6/360 - g**5/8 - 19*g**4/24 - 7*g**3/3 - 20*g**2. Let n(p) be the first derivative of h(p). Is n(-12) a composite number? True Suppose 46*w + 20*w = 8*w + 40333838. Is w a composite number? False Suppose 6*q - 4*q + 13*q = 4766505. Is q a composite number? True Let o(v) = v**3 + v**2 + 18*v + 431. Is o(19) composite? False Let b be (-2)/12*-3*10. Suppose -20 = -4*q, -657 + 6892 = b*p - 3*q. Suppose 0 = -5*d + p + 335. Is d a composite number? False Suppose 5434551 = 159*a - 388506. Is a composite? True Let n = 230 - 362. Let u = n - -301. Is u composite? True Let d(n) = 89*n - 9. Let w = -30 - -34. Let u be d(w). Suppose -i = -5*t - 74, -2*t - u = -3*i - 2*i. Is i a prime number? False Let g(d) = -10*d**2 - 31*d - 94. Let k(s) = -47 + 9*s - 13*s - 5*s**2 - 12*s. Let p(o) = -3*g(o) + 5*k(o). Is p(19) a composite number? False Let v = 343 + -381. Let z = 1323 - v. Is z composite? False Suppose g - 5*f = 292387, -4*g = 24*f - 32*f - 1169548. Is g composite? True Suppose 0 = -2*n + 4, 0*p - 9 = -p - 3*n. Suppose p*j - 4*m - 17943 = 0, 4*m = -4*j + 2447 + 21477. Is j a composite number? False Let k(w) = -w**2 - 38*w + 111. Let o be k(-33). Let j be (-3 - -5) + 78/(-2). Let h = j + o. Is h a composite number? False Let s(a) = -180*a**3 + a**2 - a + 1. Let l be s(-3). Let h(d) = -5*d**3 + 9*d**2 + 180*d - 124. Let f be h(-9). Let c =
{ "pile_set_name": "DM Mathematics" }
, -6, 92, 5. -6, 5, 12, 92 Sort -1603, 1, -3, -14 in ascending order. -1603, -14, -3, 1 Sort 0, -368381, -4 in descending order. 0, -4, -368381 Sort 4, 1, -14422. -14422, 1, 4 Sort 508476, -5, -1/2 in decreasing order. 508476, -1/2, -5 Sort 5, 1/6, -51501. -51501, 1/6, 5 Put -1/6, 2.019, 3, 2/11, 1/5 in descending order. 3, 2.019, 1/5, 2/11, -1/6 Sort -3/8, 0.19, 889 in decreasing order. 889, 0.19, -3/8 Put -1.7575, 1/3, -3, 1/2, 2 in increasing order. -3, -1.7575, 1/3, 1/2, 2 Sort 27, -580, 1 in descending order. 27, 1, -580 Sort -3, -84, 8, -4, -1/3, -4/3. -84, -4, -3, -4/3, -1/3, 8 Put -2, -7, 3, -7515, 5 in descending order. 5, 3, -2, -7, -7515 Put 2/21, -696, 1/2, -48 in increasing order. -696, -48, 2/21, 1/2 Sort 2, -6, 138, 7, -2. -6, -2, 2, 7, 138 Sort 2822, 4, -3, 0 in increasing order. -3, 0, 4, 2822 Sort 11, -4, 16724 in increasing order. -4, 11, 16724 Put -13, 2/7, -2, 35, 3 in increasing order. -13, -2, 2/7, 3, 35 Sort -6, 43, -2, -11. -11, -6, -2, 43 Put 61480/9, -4, -5, -0.3, -0.2 in descending order. 61480/9, -0.2, -0.3, -4, -5 Put -4, -14, 5, 249 in descending order. 249, 5, -4, -14 Sort 5, 2/15, 1, 1/2, -24 in increasing order. -24, 2/15, 1/2, 1, 5 Put -0.2, 0.2, -25/6, 338 in decreasing order. 338, 0.2, -0.2, -25/6 Sort 15, 2, 1882 in decreasing order. 1882, 15, 2 Sort 4, -1, 210001 in descending order. 210001, 4, -1 Sort 92, 0, 7, -3, 1. -3, 0, 1, 7, 92 Sort -1878, -5, -3, 4, 1, 0 in increasing order. -1878, -5, -3, 0, 1, 4 Put 1.26, -1, -47, 1/3 in decreasing order. 1.26, 1/3, -1, -47 Sort -4, -194, 7, 4 in ascending order. -194, -4, 4, 7 Sort -179, 4, 2, -15, 5. -179, -15, 2, 4, 5 Put -123, 5, -69, 3 in descending order. 5, 3, -69, -123 Put -3.88, 2, -0.4, 5 in decreasing order. 5, 2, -0.4, -3.88 Sort -244, 4, -135. -244, -135, 4 Sort 1537, 17, 60. 17, 60, 1537 Put -42, 4, -51 in descending order. 4, -42, -51 Sort 6, 2/7, 9, 2/5 in descending order. 9, 6, 2/5, 2/7 Sort 2, -1, 10, 1/5, -8 in increasing order. -8, -1, 1/5, 2, 10 Put -1, 264782, 3 in increasing order. -1, 3, 264782 Put 691, -0.3, 0.5, 2/3, -70 in decreasing order. 691, 2/3, 0.5, -0.3, -70 Sort 3, -1, 3.8, 2, 1/2, 4 in increasing order. -1, 1/2, 2, 3, 3.8, 4 Put 1, 0, -2, 13, 6, -311 in ascending order. -311, -2, 0, 1, 6, 13 Put 1/4, -4/199, 0.2, 2, 4 in descending order. 4, 2, 1/4, 0.2, -4/199 Put 888, -4, 2, -5 in descending order. 888, 2, -4, -5 Sort -69, 254, -1 in increasing order. -69, -1, 254 Put 13/22, 0.4, -1/21, -3/2, -4 in descending order. 13/22, 0.4, -1/21, -3/2, -4 Put 21, -33/2, -0.05, -0.3, 3, -4 in decreasing order. 21, 3, -0.05, -0.3, -4, -33/2 Put 0, -5, -3, -2, -42 in ascending order. -42, -5, -3, -2, 0 Put -0.0863, 0.09, -6, 2 in ascending order. -6, -0.0863, 0.09, 2 Put 2, -19, -10, -9 in decreasing order. 2, -9, -10, -19 Sort 7, -2/7, 0.7, 4 in ascending order. -2/7, 0.7, 4, 7 Put -66, 65, 1 in descending order. 65, 1, -66 Sort 0, -89, -4, 3, 27. -89, -4, 0, 3, 27 Put -2146, 11, -4 in descending order. 11, -4, -2146 Sort -2/97, -0.04, -3243. -3243, -0.04, -2/97 Sort -254, -45, -2 in decreasing order. -2, -45, -254 Sort 0.3, -8322, 4, -5. -8322, -5, 0.3, 4 Sort -33, -1, 17, -2, -159. -159, -33, -2, -1, 17 Put -2, 3, 16, 0 in decreasing order. 16, 3, 0, -2 Put -7, -4, -0.1, -1/2, -0.0858 in descending order. -0.0858, -0.1, -1/2, -4, -7 Sort 3, 10, 1, -5, -1, 142 in descending order. 142, 10, 3, 1, -1, -5 Put -3, -5, 2, 4, -43 in increasing order. -43, -5, -3, 2, 4 Sort 2/3, 7, 19, 24, 0, 4. 0, 2/3, 4, 7, 19, 24 Put -1, -14, 2, -121 in descending order. 2, -1, -14, -121 Put -39, 2/9, 3/7, 3, -0.4 in descending order. 3, 3/7, 2/9, -0.4, -39 Put -1, -2, 4, 45, 3 in decreasing order. 45, 4, 3, -1, -2 Put 13, 1, 134, -3, -1 in decreasing order. 134, 13, 1, -1, -3 Sort -6/7, -22, 34, 0.5, 1/8 in ascending order. -22, -6/7, 1/8, 0.5, 34 Put -5, 7961, -1 in increasing order. -5, -1, 7961 Put 0.1, -121, -1/5, 4, -1, 3 in descending order. 4, 3, 0.1, -1/5, -1, -121 Sort 0.02, -2238, 2/9, -18 in decreasing order. 2/9, 0.02, -18, -2238 Sort -0.183, 1/3, -10292. -10292, -0.183, 1/3 Sort 1, 1/2, -3, -21, 0.04 in increasing order. -21, -3, 0.04, 1/2, 1 Put 17, 4, -714 in descending order. 17, 4, -714 Sort -5, -27, 3, 7, 2, 30 in ascending order. -27, -5, 2, 3, 7, 30 Sort -10, 0, -23/17, -3, 1, 4/7 in ascending order. -10, -3, -23/17, 0, 4/7, 1 Sort -2/5, 3, 0.086, 8, -0.25. -2/5, -0.25, 0.086, 3, 8 Put -41545, 2, 4 in decreasing order. 4, 2, -41545 Put -1, 49, 1, -2284, -4, 0 in descending order. 49, 1, 0, -1, -4, -2284 Sort -39, 5.1, 3/7, 5/4, 2/87 in increasing order. -39, 2/87, 3/7, 5/4, 5.1 Put 725, 43, 0 in decreasing order. 725, 43, 0 Sort -5, 0, -177, 3, -4 in increasing order. -177, -5, -4, 0, 3 Sort -2, -3, 44550 in ascending order. -3, -2, 44550 Put 20, 21, 11, 4 in ascending order. 4, 11, 20, 21 Sort 43, -1, 167, 5 in decreasing order. 167, 43, 5, -1 Sort -59, 3/7, 3, -36, 5. -59, -36, 3/7, 3, 5 Put -0.2, 3, 1, -3, -398 in increasing order. -398, -3, -0.2, 1, 3 Put 2, -1, 5, 466, -75, 0 in ascending order. -75, -1, 0, 2, 5, 466 Sort -0.06773, 5/4, 3, -4, -5.3. -5.3, -4, -0.06773, 5/4, 3 Put -3/37, 317, -11 in descending order. 317, -3/37, -11 Sort 1/4, -26/5, -3.36 in decreasing order. 1/4, -3.36, -26/5 Sort -1.5, 1.8, -3.4 in descending order. 1.8, -1.5, -3.4 Sort -1, 3, -3, 3211, 2 in decreasing order. 3211, 3, 2, -1, -3 Put 0, -20, -42, -4 in decreasing order. 0, -4, -20, -42 Put 4, -5060, 269 in ascending order. -5060, 4, 269 Sort 5, -18, -69, 11 in decreasing order. 11, 5, -18, -69 Sort -4/5, 4, 4/5, 2/951 in decreasing order. 4, 4/5, 2/951, -4/5 Put -4, 9, -3, 325 in descending order. 325, 9, -3, -4 Sort 3, 2, 230, 12, -2 in increasing order. -2, 2, 3, 12, 230 Put -2835, 5, 6, 4 in descending order. 6, 5, 4, -2835 Sort -3/70, -0.4, -2, 129, -0.2. -2, -0.4, -0.2, -3/70, 129 Put -4, -3, -1, 5, -2636 in decreasing order. 5, -1, -3, -4, -2636 Put 6, -2, -8, 5/2, -11 in decreasing order. 6, 5/2, -2, -8, -11 Put -1, -3, 6, 405, 5, 2/3 in increasing order. -3, -1, 2/3, 5, 6, 405 Sort 2, 1, -10/3, -2/9, -5, 0.1 in increasing order. -5, -10/3, -2/9, 0.1, 1, 2 Sort 1, -1/8, -0.5, -2096, 2/3, -1. -2096, -1, -0.5, -1/8, 2/3, 1 Put 4, 3, -1, -16, -3, 1 in increasing order. -16, -3, -1, 1, 3, 4 Put -106, -145, 1 in descending order. 1, -106, -145 Sort -330, 2/55, -0.62, 3/4 in increasing order. -330, -0.62, 2/55, 3/4 Sort -2, -1, 2986. -2, -1, 2986 Sort 1, -2/15, -2/217. -2/15, -2/217, 1 Sort 222/11, 3/7, -3.4, 0.1 in descending order. 222/11, 3/7, 0.1, -3.4 Sort 60, -4, -1, 2, -15. -15, -4, -1, 2, 60 Put 1, 0, -8, 861 in descending order. 861, 1, 0, -8 Put -0.4, 3, -203, -1, 0 in descending order. 3, 0, -0.4, -1, -203 Put 0, -0.4, -771, -1 in decreasing order. 0, -0.4, -1, -771 Sort -4, 1/5, 14, -0.111 in increasing order. -4, -0.111, 1/5, 14 Sort -14, -4, 4, -0.36, 5/6. -14, -4, -0.36, 5/6, 4 Sort -75, -44, -11, -3 in decreasing order. -3, -11, -44, -75 Put -497, -5, -3, -31, -4 in descending order. -3, -4, -5, -31, -497 Sort 0.4, 3, 15/34, -12/67 in descending order. 3, 15/34, 0.4, -12/67 Sort 8861, 1, 8, 2 in decreasing order. 8861, 8, 2, 1 Sort 1, -806, 213, 0, -4 in descending order. 213, 1, 0, -4, -806 Sort -640, 6, 4, -3, 3 in decreasing order. 6, 4, 3, -3, -640 Sort -39, -3, 1, 5, -2, -7 in decreasing order. 5, 1, -2, -3, -7, -39 Sort 3, -1/9, -0.5, 132 in ascending order. -0.5, -1/9, 3, 132 Put 8, 5849, 3 in descending order. 5849, 8, 3 Sort -1, -55, -5, 5, -23. -55, -23, -5, -1, 5 Sort -3.1, 0, -0.2, -5, 0.07 in increasing order. -5, -3.1, -0.2, 0, 0.07 Put -54, -9, -3, 4, -1, -5 in ascending order. -54, -9, -5, -3, -1, 4 Put -6, -2, -8, -2/119, 0 in increasing order. -8, -6, -2, -2/119, 0 Sort 1, 3, -399, 4, 0. -399, 0, 1, 3, 4 Put -3, -6, 3, 4, -1, -37 in descending order. 4, 3, -1, -3, -6, -37 Sort -3, 0, -4, -5, 12, -137 in ascending order. -137, -5, -4, -3, 0, 12 Put 45, 12, 2618 in ascending order. 12, 45, 2618 Sort 1, 5, 54, -2, 130. -2, 1, 5, 54, 130 Sort 18/5, 3, -1.7, -25, -1/3 in descending order. 18/5, 3, -1/3, -1.7, -25 Put 4, -6, 40, -5, -1, 2 in decreasing order. 40, 4, 2, -1, -5, -6 Put 0, 18, -259 in descending order. 18, 0, -259 Sort 53, 0.1, -1.2, 3 in descending order. 53, 3, 0.1, -1.2 Put -2, -3, -238, 1, -3/5, -2
{ "pile_set_name": "DM Mathematics" }
the units digit of z(25)? 4 Suppose 9*s - 13*s - 5*p + 66582 = 0, -2*p = s - 16647. Suppose s - 3311 = 11*f. What is the tens digit of f? 1 Let j = 28138 - 19280. What is the units digit of (-10)/(-100) - j/(-20)? 3 What is the thousands digit of 408/(-170)*(2606/(-4) - -4)? 1 Suppose 0 = 5*q + 4*s - 13135, 3*q + 17*s - 7881 = 21*s. What is the hundreds digit of q? 6 Let k(u) = 15799*u**3 - 11*u**2 + 16*u - 8. What is the tens digit of k(1)? 9 Suppose -356086 + 93934 = -125*s + 1773848. What is the ten thousands digit of s? 1 Let u = 135 + -141. What is the hundreds digit of -3 - u - -263 - 3/(-1)? 2 Let s = 3 + -3. Suppose 6*n - 2441 - 7 = s. What is the tens digit of n? 0 Let z(v) = 17*v + 372. Let h be z(-23). Let k(i) = -i**3 - 16*i**2 + 3*i - 26. What is the tens digit of k(h)? 0 Let f(l) = 75 + 68 - l**2 + 0*l**2. Suppose 5*h - h = h. What is the units digit of f(h)? 3 Let t(o) = -3 + 1 + 3 - o**2 + 0 - 6*o. Let z be t(-5). What is the tens digit of 10*z + (2 - 1)? 6 Suppose -378 = -3*o - 69. Suppose 4*f + 3 - o = 0. Let i = 6 + f. What is the units digit of i? 1 Let t(q) = 2587*q + 70. Let i be t(5). Suppose -i + 2475 = -18*l. What is the units digit of l? 5 Let u(g) = -2*g - 19. Let z be u(-12). Let w be 0*(z/2)/(-5). Suppose -3*n + 45 = -w*n. What is the units digit of n? 5 Let f(h) = -101*h**2 - 2*h + 19. Let u(v) = 33*v**2 + v - 7. Let k(a) = 2*f(a) + 7*u(a). What is the thousands digit of k(6)? 1 Let x(y) = 68*y - 1. Let h = -104 - -108. What is the tens digit of x(h)? 7 Suppose 0 = 5*z - 219 - 811. Suppose u - 4*p - 696 = -z, u = -3*p + 511. What is the tens digit of u? 0 Suppose -3*a - 4151 = -2*y, -5*y + 10405 = -45*a + 43*a. What is the tens digit of y? 8 Suppose 2*f + 14*x = 15*x + 25600, x = 4*f - 51196. What is the tens digit of f? 9 Let h(f) be the first derivative of -59*f**2 + 13*f + 7. Let r be h(-5). Let d = r - 405. What is the hundreds digit of d? 1 Let t(k) = -19*k**3 - 3*k**2 - 7*k - 5. Let f be t(-2). Suppose 2*u = -3*q + 616 + f, 1125 = 3*u - 3*q. What is the units digit of u? 8 Let d(r) = r**3 + 4*r**2 - 6*r - 3. Suppose -2*n + 3*j - 25 = 0, n = -n - 2*j. Let m be d(n). Suppose 0 = -m*k + 8*k - 336. What is the tens digit of k? 5 Let y(l) = 58*l - 1. Let w be y(2). Let q be (14 - (-3 - 1))*-3. Let s = q + w. What is the units digit of s? 1 Let d(z) = 19*z**3 - z**2 + 5*z - 1. Let s be d(2). Let t = s + 227. What is the hundreds digit of t? 3 Let g(l) = 19*l**2 + 6*l + 258. What is the hundreds digit of g(19)? 2 Suppose -5*p - 414 = 3*x + 481, -2*x - 582 = -4*p. Let h = 471 + x. What is the tens digit of h? 7 Let w = 2 - -6. Let j(u) = 50*u - 31. Let b(p) = -62*p + 29. Let h(g) = -5*b(g) - 6*j(g). What is the units digit of h(w)? 1 Let v(r) = -1210*r + 1935. What is the tens digit of v(-28)? 1 Let x(w) = 521*w + 7. Let y be x(1). Let b = 829 - y. What is the units digit of b? 1 Let i = 137 - 93. Let w = -41 + i. Suppose -3*q + 105 = w*z, z = -q - 3*q + 26. What is the tens digit of z? 3 Let i(a) = 11*a**2 - 24*a - 74. Let s be i(-7). Let j = -216 + s. What is the units digit of j? 7 Let h = -1544 + 1038. Let s = -748 - h. Let j = s + 408. What is the units digit of j? 6 Suppose 8*l + 248 = 920. What is the tens digit of 3 + 3/(-2)*(-18200)/l? 2 Let z be (-258)/(-90) - 6/(-45). Let n(i) = -i + 7. Let v be n(z). Suppose v = -2*o, 0 = -2*u + 4*u + o - 290. What is the units digit of u? 6 Let o(w) = w**2 - 6*w - 24. Let t be o(-18). Let u = 733 - t. What is the hundreds digit of u? 3 Let b(m) be the third derivative of m**5/30 + 3*m**4/8 - 19*m**3/6 - 24*m**2. What is the units digit of b(5)? 6 What is the hundreds digit of ((-4545540)/144)/(-3*(-15)/(-36))? 2 What is the tens digit of (-2)/(86352/43183 - 2)? 6 What is the thousands digit of (48/(-72))/(-2*1/5949)? 1 Suppose 2*o + o - q = -1, -4*o = -2*q - 2. Let d(v) = 66*v**2 + 2*v + 2. What is the units digit of d(o)? 2 Let n = 718 - -4414. Suppose -6324 = -4*z + 4*r, 5*z - 2757 = r + n. What is the hundreds digit of z? 5 Suppose 0 = 3*t - 9, 2*z - 106*t = -107*t + 88643. What is the hundreds digit of z? 3 Suppose -q + 23 = 2*z - 5*z, -77 = -5*q - 4*z. Let u = 36 + -33. What is the tens digit of (0 - -2)*(u + q)? 4 Suppose g - 3 - 4 = 0. Let z be 2/g + (-5022)/(-14). Suppose -3*j + z = 2*w - 2*j, -2*w + 356 = -2*j. What is the tens digit of w? 7 Let l(t) = -21*t**3 + 2*t**2 - 2*t + 4*t**3 - 4*t**2. What is the tens digit of l(-3)? 4 Suppose -25 = 29*o - 6170 - 10936. What is the tens digit of o? 8 Suppose -n + 42495 = 5*l + 9590, n = 4*l - 26315. What is the tens digit of l? 8 What is the units digit of (-4)/4*4/(28/(-50239))? 7 Let i(x) = 3*x - 25. Let s be i(10). Suppose -s*y + 7*c + 80 = 2*c, 2*y = -2*c + 20. Suppose -y = 4*u - 161. What is the units digit of u? 7 Let v = 8511 + 4402. What is the thousands digit of v? 2 Let b = 859 - 857. Suppose b*y + 3*o - 138 - 212 = 0, 4*y = -o + 690. What is the tens digit of y? 7 Let g = 14607 - 5201. What is the tens digit of g? 0 Suppose -50*z + 114 = 81*z + 1031. Let n(f) = 8*f + 1 - 22*f + 9. What is the hundreds digit of n(z)? 1 Let s(b) = 190*b + 131 + 601*b - 141. What is the units digit of s(1)? 1 Let v be (-1)/(205/575 - 4/10). Let i = v - 9. Suppose 0 = 3*h - i*h + 506. What is the units digit of h? 6 Let w(a) = -a**2 + 4*a + 10. Let b = 69 + -64. Let r be w(b). What is the tens digit of 78/2 - (-1 + r)? 3 Let u = 300 + -300. Suppose u*f = -7*f + 896. What is the tens digit of f? 2 Let p be -4 + -69*6/(-9). Let t = -40 + p. What is the units digit of (-974)/(-14) - t - 3/(-7)? 8 Let h be 7/(-4) - (4 + 30/(-8)). Let m be 4*h/(-56) + 2354/(-14). Let a = -113 - m. What is the tens digit of a? 5 Let s(h) = -h**3 + 15*h**2 + 3*h - 15. Let y be s(15). Suppose 0 = -10*x + 5*x + y. Suppose 0*b - 1614 = -x*b. What is the units digit of b? 9 Let h be 0 + ((-9)/5)/((-3)/15). Suppose -11*j = -h*j - 120. Suppose 0 = 7*v - 6*v - j. What is the units digit of v? 0 Suppose -2*l - 8 = 0, -66*l = 4*z - 61*l - 157620. What is the hundreds digit of z? 4 Suppose -4*v + 20 = 0, -3*g = -4*v + 3 + 5. Let d be 4 + (g - 13 - -3). What is the tens digit of (-18)/d - (-9)/3? 1 Suppose -6*u = 68 - 98. What is the units digit of (u - 0) + (-23862)/(-41)? 7 Let s(c) = c**3 + 11*c**2 - 13*c - 8. Let d(j) = j**2 - 9*j - 12. Let t be d(9). Let g be s(t). Suppose -g*f + 24 = 8*f. What is the units digit of f? 2 Let x(q) = -2*q**3 + 2*q**2 + 15*q + 42288. What is the thousands digit of x(0)? 2 What is the units digit of (-12370)/(-5)*(-5)/(-2)? 5 Let t = 40 - 35. Suppose 0 = 4*i - 6*o + o + 21, 2*o = -t*i + 15. What is the tens digit of (120 + 10/2)*i? 2 Suppose -4*w = -36 - 96. Suppose 24*k = 23*k + w. Suppose -3*z + 4*p = -71, 3*p - k = -z + 2*p. What is the tens digit of z? 2 Let y(h) = h**3 - 89*h**2 + 944*h + 12. What is the units digit of y(11)? 8 Let o(p) = -p**3 + 17*p**2 + 27*p. Let g(s) = s**2 + 3*s - 26. Let k be g(5). What is the units digit of o(k)? 6 Suppose -11 = -17*v + 57. Suppose 4*o + k = 6*k + 4410, -k = v*o - 4398. What is the hundreds digit of o? 1 Let z(q) = -576*q**3 - 22*q**2 - 87*q - 400. What is the ten thousands digit of z(-5)? 7 Let l be 16/(-20)*(-154565)/19. Suppose -13*i = 554 - l. What is the units digit of i? 8 Let q(n) = 1097*n + 103. What is the tens digit of q(4)? 9 Suppose -30325 = -t - h, -3*h = 5*t - 183262 + 31641. What is the thousands digit of t? 0 What is the ten thousands digit of ((-5025)/100)/(-67) + (-82449)/(-4)? 2 Let s = -17117 + 65880. What is the tens digit of s? 6 Suppose 4*y - 95431 = n, -3*n + 108738 = 4*y + 13319. What is the thousands digit of y? 3 Let b = 47589 - 25996. What is the hundreds digit of b? 5 Suppose 0 = -5*i - 20, -5*p = -10*i + 13*i - 425748. What is the tens digit of p? 5 Let v(g) = -87*g - 77. Let y(n) = 43*n + 38. Let q(c) = 4*v(c) + 9*y(c). Let i be q(-7). Let b = 348 + i. What is the units digit of b? 9 Let c be (-3)/((-2)/(-10) - 15/(-50)). Let q(y) = 11*y**2 - 2*y - 48. What is the tens digit of q(c)? 6 Let d(f) = 908*f**2 + 4*f - 7. Let s(h) = -h**2 + h - 2. Let r(w) = d(w) - 3*s(w). What is the hundreds digit of r(1)? 9 Let p be -62 - 19 - (-7 + 2). What is the units digit of p/(-10) - (-6)/15? 8 Let x be (-4 - 87/6) + (-3)/2. Let c = 100 + x. Suppose -2*w = f +
{ "pile_set_name": "DM Mathematics" }
2*l**2 - 12*l - 234. Let z be s(-32). Calculate the highest common factor of z and i. 30 Suppose 0 = -o - 3 + 7. Suppose -66 + 6 = -6*v. Let u be (-350 + v)*o/(-10). What is the highest common factor of u and 34? 34 Let a be -108*((-60)/(-9))/(-5). Let x = a + -45. What is the greatest common divisor of x and 9? 9 Let l(w) = -2*w**2 - 49*w + 129. Let y be l(-24). What is the greatest common factor of y and 9? 9 Suppose 2*z + 85 = 4*n + 19, 5 = 5*z. Let d(u) = 6*u**2 - 4*u - 5. Let p be d(6). What is the highest common divisor of n and p? 17 Let b be 91/(-3) - (-2)/6. Let v = 46 + b. Suppose 2*p = 30 + 322. Calculate the highest common divisor of p and v. 16 Suppose -30*l = -4*p - 34*l + 6100, -p + 3*l + 1529 = 0. Calculate the greatest common divisor of 7 and p. 7 Suppose 5*a - 17*n + 19*n - 259 = 0, 0 = -3*a - n + 155. Calculate the highest common factor of a and 9. 3 Let j(z) = z**2 + 18*z + 40. Let i be j(-21). Suppose 107 + i = 3*o. Calculate the greatest common factor of 10 and o. 10 Suppose 0 = -4*w + 67 + 45. What is the highest common divisor of 7 and w? 7 Suppose 0 = -13*k - 81*k + 658. Calculate the greatest common factor of 3136 and k. 7 Let q be 900/105 + 12/(-21). Calculate the highest common divisor of 1 and q. 1 Let h = 141 - 109. What is the greatest common factor of 2 and h? 2 Let w = 0 - -1. Let r(f) = 25*f**2 + 3*f + 1. Let b be r(-1). Let i = b - w. Calculate the greatest common factor of i and 22. 22 Let i(x) = -10*x**3 + 9*x**2 - 3*x - 15. Let f be i(7). Let g be (-1)/(2/3 + f/4488). Calculate the greatest common divisor of g and 17. 17 Let g be ((-906)/(-24))/((-1)/(-4)). Suppose -i = -5*q - 128, -i - 8 = -2*q - g. Calculate the greatest common divisor of i and 17. 17 Suppose 50*i - 132 = 39*i. What is the highest common factor of 48 and i? 12 Let r = 27 + -25. Suppose 2*d - 2 = -r*p + 8, -d + 1 = 0. Suppose -2*w - 4*i + 44 = -w, -p*w + 131 = i. Calculate the highest common factor of w and 48. 16 Let q be (132/(-77))/(4/(-14)). Suppose q*p - p = 30. Suppose -p*g - 1 = -265. What is the greatest common factor of 11 and g? 11 Suppose 12 = -3*a - a, 2*a = -4*v + 1074. Calculate the greatest common divisor of v and 18. 18 Suppose l + 4 = -3*l. Let g be 14*(-1)/(2/l). Suppose g*p + 20 = 12*p. What is the greatest common divisor of p and 16? 4 Let p = 0 - -30. Suppose 0 = -7*c + 5*c + 5*h + 380, 4*c = 2*h + 824. What is the greatest common factor of c and p? 30 Let h(f) = 2*f - 27. Let n be h(6). Let k be 9/n*(-125)/5. Let a(b) = b**2 + 5*b - 3. Let q be a(-6). Calculate the highest common divisor of q and k. 3 Let y(w) = -w - 2. Let u be y(9). Let v = 65 + u. Suppose 6*o - v = 54. What is the greatest common divisor of 9 and o? 9 Let o be 477*(-4)/8*-2. What is the greatest common divisor of o and 53? 53 Suppose 0 = -25*y - 262 + 2012. Suppose 0 = -0*z - z - 3*k + 40, 0 = -5*z + 4*k + 124. Calculate the greatest common factor of z and y. 14 Let j be -1*(-13)/(156/(-8))*-372. Calculate the highest common factor of j and 16. 8 Let o be 0*(9/(-6))/3. Suppose -3*r - l = -41, 2*r - 32 = 4*l - o. Calculate the highest common factor of r and 112. 14 Let h = -199 + 223. What is the greatest common divisor of h and 15? 3 Suppose -225 = -17*c - 38. Calculate the highest common factor of c and 583. 11 Let i(u) = 2*u**3 - u. Let h be i(2). Suppose 2*v = 6*b - 5*b - 98, 0 = 3*b - 3*v - 294. What is the highest common divisor of h and b? 14 Suppose -156*t = -162*t + 2544. Calculate the highest common divisor of t and 159. 53 Suppose 409*v = 358*v + 1428. Let u be 0 - (-2)/1*4. What is the greatest common factor of v and u? 4 Let x(c) = -c**3 - c**2 + c + 35. Let v be x(0). Suppose 73 = 3*k - v. Let z be ((-34)/(-2) - -3) + -2. What is the greatest common factor of k and z? 18 Let l = -21 + 105. Suppose -5*c - 30 = -10. Let y be ((-7)/4)/(c/48). What is the highest common factor of l and y? 21 Suppose 59*j + 1716 = 72*j. What is the highest common factor of 6 and j? 6 Let k be (117/36 + (1 - -1))*(-2920)/(-219). Let d(g) = 27*g**2 + 1. Let u be d(-1). Calculate the greatest common divisor of k and u. 14 Suppose 2*y - 5 = -11, -67 = m - 3*y. Let o be (((-84)/8)/(-7))/((-6)/m). What is the greatest common divisor of o and 209? 19 Let k(v) = -8*v**2 - 17*v + 21. Let g be k(7). Let c = 699 + g. Calculate the highest common divisor of 19 and c. 19 Let t be 3/(27/1764) + -2 + 4. Calculate the highest common divisor of t and 18. 18 Let g be 0/(13 - 11) - -203. What is the highest common divisor of g and 87? 29 Let q(g) = -4*g + 24. Let w be q(6). Let o be (w - 12/5)/((-15)/250). What is the greatest common factor of o and 30? 10 Suppose -90*d = -17*d - 1752. Calculate the greatest common factor of d and 708. 12 Let p = 939 + -638. Calculate the highest common factor of 43 and p. 43 Let s(o) = o**2 + 14*o + 39. Let y be s(-6). Let a be (651/(-4))/7*24/y. Calculate the highest common factor of a and 155. 31 Let a = 77 - 45. Suppose -5*f - t = -43, 5*f - t - 4*t = 25. Suppose -f*h = -5*h - 12. What is the highest common factor of h and a? 4 Suppose -3*j - 92 = -2*f - 7*j, 5*j - 138 = -3*f. Suppose -v + 3*z + 32 = z, -5*z + f = 2*v. What is the highest common divisor of v and 252? 28 Let y = -23 - -30. Suppose -y*f - 66 = -8*f. What is the greatest common divisor of f and 6? 6 Let h(o) = o**3 + 5*o**2 + 2*o - 5. Let u be h(-4). Let v(t) = -t**2 - 9*t + 4. Let z be v(-8). Calculate the greatest common divisor of u and z. 3 Suppose 55 + 33 = 8*g. Let i = 167 - 2. Suppose t = 4*t - i. What is the greatest common factor of g and t? 11 Suppose 2*k = -5*z + 84, -2*k - 2 + 86 = -4*z. Calculate the greatest common divisor of k and 140. 14 Let c = -167 + 272. What is the highest common factor of c and 175? 35 Let w be ((-4)/3)/((-4)/1920). Calculate the highest common divisor of 40 and w. 40 Let l(y) = y + 6. Let j be l(2). Suppose 5*r - 40 = a, r + j = 2*r - 4*a. What is the highest common factor of r and 32? 8 Suppose -34 = 3*d - 5*d. Suppose 5*x = -10, -3*b + x + d = -3*x. Calculate the greatest common divisor of b and 18. 3 Let t = 276 - 105. Calculate the greatest common factor of t and 57. 57 Suppose 4*i = n - 14, -4*n = 3*i - 16 + 36. Let m be n - (0 - (-13)/(-1)). What is the greatest common factor of 22 and m? 11 Suppose 2*y + 4*g = -y + 4, -2 = -2*g. Let k(f) = -f**2 + f + 108. Let a be k(y). Let z = -8 - -20. Calculate the highest common factor of a and z. 12 Let y(n) = -8*n - 38. Let u = 59 - 66. Let b be y(u). What is the greatest common divisor of 144 and b? 18 Let t be 2904/60 + (-9)/(-15). What is the greatest common divisor of t and 98? 49 Let t be -1*(-81 + 0/(-1)). Let a(m) be the second derivative of -m**3 - 9*m**2/2 - 8*m. Let i be a(-6). Calculate the highest common factor of t and i. 27 Suppose 0*f = 16*f - 80. Suppose 111 = f*c - 89. What is the greatest common divisor of 200 and c? 40 Suppose 228 = 5*n - 3*f, 3*n - 5*f = 8*n - 220. Calculate the highest common divisor of n and 5. 5 Let h be (-6)/14 + (-274)/14. Let d be 70/(-4)*16/h. Let r be (-18)/42 + 636/d. What is the highest common divisor of r and 30? 15 Suppose -5*x + 2086 = 3*k, -3*k - 6*x + 4*x = -2098. What is the highest common divisor of 18 and k? 18 Suppose c - 61 = -b, 0 = -5*b - 3*c - 80 + 383. Let g = -42 + b. What is the highest common factor of 27 and g? 9 Let t be (98/147)/((-2)/(-3)). What is the greatest common divisor of 23 and t? 1 Let w = -18 - -66. Calculate the highest common divisor of w and 72. 24 Suppose 52*u - 57*u = -3150. What is the greatest common factor of 180 and u? 90 Let o = -124 - -138. Let x(y) = y**3 - y**2 + 98. Let c be x(0). What is the highest common divisor of o and c? 14 Let t be (-4)/((-16)/(-12)) - -4. Let u be t + -1 - 21/(-3). What is the greatest common divisor of u and 21? 7 Let q = -46 + 116. Let t be (5 - (-11)/(22/(-12)))*-10. What is the highest common divisor of t and q? 10 Suppose -3*q - 4*x + x = -144, 4*q - 5*x = 192. Calculate the highest common factor of 48 and q. 48 Let b be 54 - -4 - (3 + -2). Suppose -b = -d - 9. Calculate the highest common divisor of 16 and d. 16 Let i be (7/(-4))/((-1)/56). Let h(l) = 58*l + 223. Let w be h(-3). What is the highest common factor of w and i? 49 Suppose 0 = -3*n - 3*v - 3, 3*n + 4*
{ "pile_set_name": "DM Mathematics" }
for z. 1 Suppose 75*b + 3*t - 42 = 70*b, 2*b - 2*t - 36 = 0. Solve -18*y + 21*y + b = 0 for y. -4 Let t be (-12)/48 - 202/(-8). Solve 6*h - 43 = -t for h. 3 Let k(h) = 2*h**3 - 11*h**2 + 18*h - 8. Let b be k(2). Solve b = -486*c + 485*c - 4 for c. -4 Let t = -5 + -4. Let p = t - -20. Let w(o) = o**2 - 21*o + 43. Let u be w(19). Solve u*y - p = 4 for y. 3 Suppose 0 = -4913*o + 4906*o + 168. Solve 135*d - o = 141*d for d. -4 Suppose 281 = -10*d + 3481. Let h = d + -299. Solve -y + h = 19 for y. 2 Suppose -56 = 2*g - u, -7 = -5*g + 5*u - 157. Let f = -25 - g. Suppose -5*k + 2*k + 3*j = -3, 0 = 4*j - 8. Solve 2 = -k*w - f for w. -1 Suppose 25*l = -3*l + 10836. Let s = l + -385. Solve 4*m = s*m - 6 for m. -3 Let d be 3/(-2) + ((-63)/6 - -12). Suppose 2*x + 74 = 7*x + 2*z, -z + 45 = 3*x. Suppose 0 = y + 4*w - 3 - 6, -y + 5*w = 0. Solve -l + y*l + x = d for l. -4 Suppose 5*s + 13 = -4*n + 268, 2*n = 4*s - 230. Let h be (-4)/22 + (615/s - 5). Solve -h*d - 12 = -12*d for d. 2 Let h(q) = -7*q**2 - 484*q - 64. Let t be h(-69). Solve 4*z - t*z = 2 for z. -2 Suppose -6*j + 3*j - 29 = -4*b, -b + 5*j = -20. Suppose 89 = b*l + 74. Solve -2*n - 11 = -l for n. -4 Let i = 1690 - 1327. Solve i = 44*d + 55 for d. 7 Let i be -1*(4/(-4) + 0) - -3. Let w(t) = 2*t**2 + 9*t - 10. Let u be w(-6). Let r be u/10 + 1 - 5/(-25). Solve p = r*p - i for p. 4 Let u be 4/(-8)*(3 + -3)*1. Let n be (-6)/51 - 36/(-306). Solve n*d - 7*d + 2*d = u for d. 0 Let g(u) = -u**2 - 110*u + 1492. Let f be g(-122). Solve f*s - 51*s = 184 for s. -8 Suppose 26*i - 209 = -20*i - 25. Solve i*o + 125 = 29*o for o. 5 Let m = 278 + -244. Solve 3*c + 14*c + m = 0 for c. -2 Suppose 0 = c + 11 - 9. Let k be 3/9*(-1 + (5 - c)). Let u(n) = -n**2 + n + 8. Let q be u(0). Solve -k*z + q = -0 for z. 4 Suppose 7*m - 9 = 4*m. Suppose m*g = -g + 3*s - 18, 0 = -g - 5*s - 16. Let k be (-2 - -1*2)/(g/(-3)). Solve 0 = -k*u - 4*u + 8 for u. 2 Let r be 4/(-30) - -76*(-544)/1785*-7. Solve 47*u = 29*u - r for u. -9 Let d(s) = -3*s**3 + 31*s**2 + 2*s**3 + 3*s - 23*s**2 + 2*s**3 - 26. Let f be d(-7). Solve -f*l - 24 = 4*l for l. -4 Let z = 145 + -92. Solve -10*f = -z + 23 for f. 3 Suppose -15*n + 24 = -7*n. Suppose -3*w - n*s = 0, 2 = w + w + s. Suppose 3*d - 31 = 14. Solve -w*r - d = -7*r for r. 3 Let j = 366 - 390. Let z be 3/(-11) - j/88. Let h = 1 - -2. Solve z = -0*i + h*i - 9 for i. 3 Let f(i) = -i**2 - 9*i - 10. Let p be f(-7). Suppose 0 = 14*w - 12*w - p. Suppose w*m = -3*x - m + 21, 3*x - 5*m - 13 = 0. Solve -3*k + k = -x for k. 3 Let w(f) = -3*f - 4. Let z be w(4). Let o = 22 + z. Suppose 21 = 5*x + o. Solve -x*b = -8*b for b. 0 Suppose -71*p + 388 - 101 = -139. Solve k - 2*k = p*k for k. 0 Let r(b) = -b - 71*b**3 + 0*b + 133*b**3 + 9*b**2 - 5 - 61*b**3. Let y be (6/(-4))/(2/12). Let u be r(y). Solve v - 12 = u*v for v. -4 Let c(p) = -3*p + 2. Let k(r) = -36*r - 219. Let g(z) = -c(z) + k(z). Let h be g(-7). Solve h - 25 = -5*u for u. 3 Suppose 1689*c = 1685*c + 48. Solve c*p + 62 = -50*p for p. -1 Suppose 100 = 2*f + 94. Suppose -7 = -f*l + 2*o + 1, 4*o - 8 = 0. Solve 2*i + 0 = l for i. 2 Let b(u) = -u**3 - 8*u**2 + 9*u. Let n be b(-9). Suppose 4*y + 26 = -2*r, 2*y - 3 + 1 = 0. Let o be 9/(-21) + r/(-35). Solve n = -3*g - o - 3 for g. -1 Let h be 0/(-3) + 2 + 1*-17. Let k = h - -12. Let y be k/(-1*(-4)/(-4)). Solve -y*t = -t + 8 for t. -4 Let f = -5190 + 5195. Let a = -1 + 1. Suppose 2*r = -4*l + 30, -r + a*r = -f*l + 55. Solve -4*s = l - 2 for s. -2 Let f(b) = 2*b**2 + 19*b - 61. Let s be f(3). Let h(q) = q**3 - 15*q**2 + 14*q + 11. Let v be h(s). Solve -3 = -v*r + 8*r for r. 1 Suppose -7*z - 4*z + 187 = 0. Suppose 0 = 3*s - 13*f + z*f - 20, 20 = 4*f. Solve s*o = 4*o + 12 for o. -3 Let r = 3927 - 3620. Solve -r*x = -319*x - 96 for x. -8 Let y be -1*8/((-24)/(-9)). Let x be y/((-18)/21)*2. Suppose 25 = z - 4*g, 3*g = -x - 8. Solve -z*p - 4 = 16 for p. -4 Let o be ((-8)/(-5))/(-4) + 6/15. Suppose o = g - 21 - 35. Let q = g - 53. Solve y - 2 - q = 0 for y. 5 Suppose -8 = v - 2*v. Let m be 48/(-10)*100/(-80). Solve m*y = v*y for y. 0 Let p = 4235 - 4216. Solve 18*i + p = -i for i. -1 Suppose 12*r = -9*r - 2 + 44. Let s(o) = o**3 + 6*o**2 + 4*o - 5. Let k be s(-5). Solve k = r*n - 3*n for n. 0 Suppose -10*k + 16*k + 912 = 0. Let i be -4 - -4 - k/(-4). Let b = -38 - i. Solve 3*q + 1 - 16 = b for q. 5 Let x be -172*(-5 + 26/5 + 9/(-20)). Solve x*i - 16*i = -135 for i. -5 Suppose 0 = -117*d + 3610 + 3761. Solve d = 15*i - 27 for i. 6 Let h(p) = -p**2 - 16*p + 22. Let w be h(-17). Suppose -w*v + 25 = 5*b, v - 2*b + 1 = -b. Let n be ((2 + -1)/(-2))/((-1)/12). Solve v + n = -2*o for o. -4 Let w(v) = v**3 - 13*v**2 + 8*v - 8. Let z be w(4). Let x = z - -150. Solve x*j = 33*j + 6 for j. -2 Let s = 436 - 421. Solve 12*k - s = -3*k for k. 1 Let s be 16/20*(-195)/6. Let v be (-3 - s/8) + 316/16. Suppose 1 = 3*q - v. Solve 0 = 2*y - q*y - 15 for y. -3 Let f(h) = -h**3 - 11*h**2 - 11*h + 7. Let b be f(-10). Suppose -b + 5 = -3*k. Let x = -48 + 51. Solve x*p = -p + k for p. 1 Suppose 1448 = 27*p - 1495. Solve 106*v - p*v - 18 = 0 for v. -6 Suppose -7*l = 15*l - 242. Solve 7*a + 4*a - l = 0 for a. 1 Let p(m) = 6*m - 11. Suppose t + z + z - 8 = 0, 5*t - 4*z + 2 = 0. Let r be p(t). Solve r + 0 = -k for k. -1 Let o(y) = -59 - 3*y + 18*y**2 - 3*y - 9*y - 2*y**3 + 76. Let d be o(8). Solve -6*u - 5 = d for u. -5 Let k be (-9)/(-18)*(226 + -4). Let i = k + -111. Solve i*b + 4*b + 8 = 0 for b. -2 Suppose -4*k + 4*t = -396, 5*t - 9*t + 204 = 2*k. Let x be 6/2 + k/10. Solve -x + 41 = -7*r for r. -4 Suppose 15*r - 7*r + 32 = 0. Let t(d) = 3*d**2 + 12*d + 10. Let s be t(r). Solve 0 = -y - s + 14 for y. 4 Let i be (-259)/74 - 135/(-18). Suppose 3*l - 3 = 3. Solve l = -w + i for w. 2 Suppose 0 = 3*x - 5*f + 25, -14 = x - 4*f + 6. Let p be ((-32)/(-2))/4 + 2 + 51. Suppose 5*v + p = 132. Solve x = -3*z + v for z. 5 Let o be 1/(40/(-15))*(-22288)/14. Solve 58*j - o = -249 for j. 6 Let x be 1287/36 - 2/(-8). Solve 7*y - 85 = -x for y. 7 Suppose 0 = -9*k + 18, -228*b = -231*b + k + 22. Solve b = i + 1 for i. 7 Let t(u) = -u - 35. Let w be t(-51). Let l(v) = v + 15. Let i be l(0). Suppose 2*q + w = b, 5*b - i = -4*q + q. Solve d + d = -b for d. -3 Let t be 6/(-40) + 42/280. Solve t = -939*v + 948*v for v. 0 Let w(t) = 1499*t - 5996. Let g be w(4). Solve -25*h - 262 + 362 = g for h. 4 Let l be ((-4)/(-14))/(184/20608) + 12/(-2). Solve -12 = -l*d + 14*d for d. 1 Let g be ((-144)/(-88))/(27/198). Solve 283*n - g = 286*n for n. -4 Suppose -5*j - 44 = -2*d, -3*d + 2*j = -6*d - 10. Solve 71*n - 70*n = -d for n. -2 Suppose 0 = w + 2273 - 2232. Suppose 4*t - 149 - 15 = 0. Let d = w + t. Solve d*z = 3*z for z. 0 Let i(q) = q**3 + 2*q**2 - q + 8. Suppose -5*a - l - 4 - 22 = 0, -2*l = 2. Let j be (-1 + 0)/(a/(-15)). Let o be i(j). Solve 10 = o*h + 2 for h. 4 Suppose 2*z - 2*q = 28, -76*q = -5*z - 78*q + 70. Let b be 24*4/7*(-14)/(-12). Solve -z*l + b*l = -6 for l. -3 Suppose -d = -3, 7*i + d + 169 = 8*i. Solve -195*s = -i*s - 92 for s. 4 Suppose 0 = 1313*p - 1299*p - 112. Let i(m) = -m**3 + 13*m**2 - 12*m + 9. Let t be i(12). Solve p*v - t*v = 2 for v. -2 Let b = 1912 + -1911. Let w(h) = -h**2 + 5*h - 4. Let y be w(5). Let f be (8/(-6))/(y/6). Solve -m + f = b for m. 1 Suppose 5*q - 33 + 72 = 4*x, x + 4*q = 15. Suppose 10*c = -x*c + 105. Solve -8*n + c = -13*n for n. -1 Let s(y) = -y**2 + 34*y - 118. Let z be s(30). Let a be (z - (7 + -5))/3. Let p(g) = 2*g - 5. Let q be p(4). Solve a = -0*t - 3*t - q for t. -1 Let o(t) = -t**3 - t**2 - 11*t - 13. Let m be o(-5). Suppose -m + 42 = -5*n. Solve -13*p + 18*p + n = 0 for p. -4 Let h = 38421 - 38402. Suppose 2 = u - 13. Solve u*t - h*t + 12 = 0 for t. 3 Let z(o) = o**3 + 46*o**2 + 241*o + 46. Let s be z(-40). Let q = 142 - 138. Solve -q*c - 2 = -s for c. 1 Let t be ((-1 - -1)/(-4))/2. Suppose t = -64*y + 50*y + 14. Solve -y = -d - 4 for d. -3 Let u(m) = 54*m + 1583. Let v be u(-29). Solve 20*b = 77 - v for b. 3 Let k be 4/(-6)*(-2 + -1). Suppose 2*c = 2*n + 4, 2*c + 9 = -3*n + 28. Suppose n*o - 2 - 7 = 0. Solve 0 = -o*b + k*b - 3 for b. -3 Let k = 455 - 443. Solve 76*o + k = 72*o for o. -3 Let s = -65 + 61. Let z(m) = m**3 + 4*m**2 + m + 3. Let i be z(s). Let p(a) = -15*a**3 - a. Let g be p(i). Solve -3*q = q
{ "pile_set_name": "DM Mathematics" }
is (-9)/((-81)/3015)*-23*(-20)/2300? 67 Evaluate (4992/(-9984))/(2/156). -39 Evaluate 51/102*8/12*-72. -24 What is ((108/33)/(1185/1738))/((-15)/(2/(-2)))? 8/25 14*(-7386)/8617*3*16/18 -32 (12195/(-271))/((-117)/(-26)) -10 What is (114/171)/(8/(-6))*25/((-500)/1120)? 28 What is the value of (71/((-1704)/(-39)))/(36/48)? 13/6 What is the value of 344/7*(-46613)/(-53272)? 43 Calculate (38/(-19))/((910/30)/(-13))*7/(-52). -3/26 What is the value of ((-25)/((-33600)/(-49)))/((-546)/234)? 1/64 Calculate (-48)/(-24)*((-42)/35)/((-16)/380). 57 What is the value of (3/(-7))/((-30)/32*20/50)? 8/7 Evaluate -4*(-2)/2*14499/(-86994). -2/3 What is the value of 1*408/(-306)*18/8? -3 What is the value of (-23)/(-2)*(-3850)/(-487025)? 1/11 What is (-94877)/(-33486)*6/(-9)? -17/9 Calculate 1/37*915/(-732)*2/5. -1/74 What is the value of ((3*(-8)/28)/((-10)/(-14)))/((-34)/(-85))? -3 What is 15/(-14)*595/(-13600)*16*424/30? 53/5 Calculate ((-81)/(-6))/((-3720)/(-496))*(-10)/156. -3/26 What is the value of 5/3*(-432)/(-900)*5*45/(-6)? -30 What is the value of (51016/57393)/((-508)/(-9))? 2/127 (5/(-4))/(2300/368) -1/5 What is (((-264)/24)/(-11))/((85/385)/(-17))? -77 (3/(-54*(-3)/(-12)))/((-95)/1026) 12/5 ((-3)/127)/(((-12)/((-1944)/(-135)))/((-10)/18)) -2/127 (38/171)/(13/(-39))*4 -8/3 What is the value of (((-4)/24)/((-9)/(-18)))/(77*22/12342)? -17/7 Evaluate 10*(-85*35/(-1190))/(2/2). 25 Calculate (44/(-2640)*100)/(7/15*2/(-7)). 25/2 What is ((-676)/109512)/(12/(-27))? 1/72 Evaluate 24/250*7/(-28)*1140/171. -4/25 Evaluate ((-60)/4)/((36/108)/((-1)/1)). 45 What is 52/13572*36*-87? -12 Calculate (9/((-180)/(-112)))/((-486)/3645). -42 Calculate ((8/(-2))/((-2)/4*-6))/(3048/(-96012)). 42 Evaluate (-6)/((-24)/356)*-22*(-1)/(-22). -89 Evaluate (((-2)/10)/(11/(-77)))/(8/280*7). 7 What is 112/903*(-7)/(-3696)*22? 2/387 What is the value of (-15)/((-21420)/136)*(-70)/(-40)*8/6? 2/9 What is the value of ((276/168)/(-23))/(9/(-45))? 5/14 (4/(-385))/((23*17/391)/((-10)/(-4))) -2/77 ((1290/(-225))/(8/10))/(33/10890*55) -43 -185*11/55*(-4)/20*(-25)/(-15) 37/3 Evaluate 8/((120/(-264))/((-60)/48)). 22 Evaluate (1092/(-12))/364*84. -21 Calculate 10/(-68)*51*50/(-6375). 1/17 What is the value of (18/(-62))/((-702)/(-21762))? -9 Calculate 11*((-1)/8*6)/(2772/(-96)). 2/7 What is -1*31*(12/420*-10)/((-6)/21)? -31 What is the value of ((-52806)/(-14894))/(3/(-198)*2)? -117 What is 4/26*588042/160832? 9/16 What is the value of 2/(16/(-28)*-189*7/(-126))*-117? 39 (-88)/((-12)/3)*(2047/46)/89 11 What is (-93)/(-1302)*(-88)/198? -2/63 (-237*(-161)/1577156)/((-6)/4) -1/62 Calculate (((-10)/1611)/((-63420)/32616))/((-2)/(-7)). 2/179 What is (105/1736)/((-6215)/(-39776))? 12/31 What is the value of ((-3822)/(-1300))/147*(-1)/((-7)/(-56))? -4/25 (-124)/2790*-243*(-15)/(-99) 18/11 Calculate 61*5*(-4)/(-122)*183610/30100. 61 Calculate (-72)/(-44)*2695/(-70). -63 What is ((-15)/(1*-180)*164)/((-4)/(-6))? 41/2 What is the value of (1/3)/(86/3)*(-920)/(-18170)*-79? -2/43 (-424)/(-42*(-64)/336) -53 Evaluate 8*(6708/78)/1032*(-270)/(-4). 45 ((-63)/546*13)/(57/(-2318)) 61 Evaluate (-6)/(-2)*(-251)/(29116/(-1624)). 42 What is 190/(-3*13/78*16/4)? -95 What is the value of ((-3942)/(-292))/((-3)/4)? -18 (3/(-2))/((2/(154/3))/(6548/11459)) -22 Calculate ((0/477)/(1*-2))/((-6)/3). 0 Evaluate (17/34)/(326/50856). 78 Calculate 170/115*2691/1872. 17/8 What is (2/(-33))/(2633/7899)? -2/11 What is (-117)/6*((-12)/(-20))/(21*(-54)/5040)? 52 21*(-7)/(588/(-182))*(-952)/(-364) 119 What is the value of (((-15496)/48)/(-149))/(77/(-84)*-1)? 26/11 What is the value of (-10)/6*1218/725? -14/5 What is the value of (488/40)/(-1*1*(-270)/1350)? 61 What is 180/70*259/1221? 6/11 Calculate (((-8)/(-12))/((-224)/12432))/(4/(-12)). 111 What is ((-86)/49665*-30)/((-52)/14)? -2/143 What is the value of (125/2100)/(210/378)? 3/28 What is the value of 7*((-40)/56)/(13/((-234)/(-5)))? -18 Evaluate (428/963)/(8/(-99))*(-100)/(-11). -50 Evaluate (-7)/(138/(-173880)*686). 90/7 What is (100/70)/(880/(-1232)*(-3)/15)? 10 Calculate 69/((78/(-104)*10/(-15)*2)/(-1)). -69 Calculate ((-9135)/(-87))/(-420)*(-792)/2. 99 What is (-92)/2*((-550)/(-220))/((-7)/((-126)/(-30)))? 69 Calculate (160/(-1008))/(((-7)/(-42))/(42/(-45))). 8/9 -27*(-336)/972*(-3)/(-12) 7/3 Calculate 177/6*(207/9)/23*2. 59 What is ((-361746)/108)/(-87)*16/28? 22 -78*(-190)/(-76)*(-16)/(-260) -12 Evaluate ((-888)/(-2442))/((-4)/(-286)). 26 Evaluate (-221)/((-5967)/324)*-2. -24 What is the value of (218/(-654))/(117/6)? -2/117 (39/((-56511)/84))/((-196)/(-126)*-3) 2/161 Evaluate (-10*(-12)/(-300))/(48/(-5)). 1/24 (((-6)/(-30))/((-33)/55))/(((-1)/(-183))/1) -61 ((-1)/5*1)/((2880/810)/((-80)/(-12))) -3/8 Evaluate (10/42)/(20750/595525). 41/6 Evaluate (-1*((-144)/12)/48)/(6/(22*24)). 22 Calculate 504/(-147)*(-2156)/168. 44 Calculate 52/624*-240*2. -40 (1980/(-504))/(20/(-48))*28/(-6) -44 Calculate (-24)/(-18)*(-14245)/1110*1/14. -11/9 Calculate 8/(-128)*-8*((-1258)/(-1105))/(-37). -1/65 What is ((-15)/((-480)/(-64)))/((-2)/21)? 21 Calculate (((-11136)/(-9))/16)/((-104)/390*(-10)/(-4)). -116 ((-88)/(-1122))/(31/(527/21)) 4/63 Evaluate (-22)/(-22)*((112/(-182))/8)/1. -1/13 Calculate (225/90)/(1060/(-24168)). -57 Evaluate (-4)/(-19)*((-2100)/(-56))/(-15). -10/19 (-612)/(-10353)*364/(-78) -8/29 Calculate (2/(-8))/(261/522)*208. -104 What is (-738)/(-287)*(-2590)/(-120)*-2? -111 Calculate -3*((-2050)/(-4920))/((-2)/32*-2). -10 What is the value of (-2)/5*(851/4255)/(2/(-450))? 18 (-936)/5824*(-12)/(-45)*5 -3/14 What is ((-23001)/6970)/(1*(-3)/(-15))? -33/2 Calculate 86/26*7527/(-579). -43 ((-322)/(-35259)*-146)/((-4)/(-57)) -19 98/(-49)*1752/240 -73/5 What is the value of (5/(1890/(-4)))/((-293)/(-4102))? -4/27 What is the value of 12/((-53)/((-34132)/168))? 46 What is the value of (-413)/2*((-1096)/21098)/((-7)/((-231)/6))? 59 ((-183)/198)/((-1641)/108306) 61 What is the value of (-163611)/(-13356)*4/(-14)*-8? 28 Calculate (-3801)/2715*(-30)/8. 21/4 117/(-1053)*((-1)/(-5))/((-9)/9) 1/45 Evaluate 6*(2/2)/(278/(-1529)). -33 Calculate -5*(-19)/190*((-108)/(-180))/(2/10). 3/2 What is 403*32/(-208)*(-17)/34? 31 Evaluate ((101500/224)/25*(-2)/5)/(1/(-4)). 29 What is (((-405)/(-35))/(-9))/((400/(-35))/20)? 9/4 ((11/((-110)/(-10)))/1)/(6/((-588)/(-7))) 14 Calculate (60/(-27))/(53405/17478). -8/11 What is the value of ((-283)/(1098040/(-10476)))/((-6)/40)? -18 Calculate ((-16)/(-5))/(299936/(-28840)). -4/13 Calculate (15/(-10))/(((-16)/136)/((-660)/(-99))). 85 Evaluate ((-21)/(-238))/(((-12)/34)/(-1)). 1/4 265440/3483900*1*(-1)/8 -1/105 Evaluate (-77*(-352)/142296)/(-4*(-76)/24). 2/133 Calculate (-10725)/(-61050)*8/26. 2/37 Calculate -24*((-4268)/(-132))/97. -8 Calculate (-226)/43505*-308*(-555)/12. -74 Calculate (-136)/(-2380)*-3*(-1)/4*5. 3/14 Evaluate (3828/4290)/(19/247). 58/5 What is (-3)/4*29/(2001/1748)? -19 (-2)/((9/12)/((-114)/(-608)))*44*1 -22 Calculate ((-53)/(30210/399)*(-8)/14)/((-6)/(-795)). 53 (6622/210)/(-43)*(-51)/(-17)*(-1)/33 1/15 What is ((-21)/196)/(-5*(-114)/(-665))? 1/8 Calculate -57*48/36*(-10)/20. 38 What is 12/210*14/(-40)*-10*(-4)/64? -1/80 (1220/7320)/((-12)/(-368)) 46/9 (-1)/(-3)*(-30)/(-20)*1276/522*63 77 Calculate (((-17)/51)/(21/7560*20))/(1/(-5)). 30 Calculate ((-1883)/(-28245))/((28/(-5640))/(-7)). 94 What is (-5*3)/((-25857)/86190)? 50 Calculate ((-3)/(-30)*-4)/(24/240*-14). 2/7 ((-10180)/15270)/((-2)/(-228)) -76 What is (-186)/(15*12/(-36)*-1)*(-35)/21? 62 Calculate ((102/(-42))/17)/(25/(-10)). 2/35 What is the value of (1460/(-10950))/(2/(-21))? 7/5 What is ((-99)/(-858)*26)/(18/(-174))? -29 What is the value of ((-1)/1)/((-6166)/(-382292))? -62 ((-15)/(-20))/((-75)/(-210)*7) 3/10 What is 16/252*(-3906)/868? -2/7 2/((49/(-21)*((-72)/(-14))/(-6))/(-80)) -80 Evaluate 1/2*-8*165/(-44). 15 (4/(-2))/((-42)/(-45)*(-3765)/(-5271)) -3 Calculate 6/((-154)/((-664048)/(-294))). -88 (-6)/18*387/(-27)*-9 -43 What is the value of (9464/39)/14*81/(-108)*4? -52 What is (5/75)/((-249)/(-52290))*4? 56 What is (246/2337)/(112/28728)? 27 What is -68*(-686)/4165*-10? -112 Evaluate (-595*210/1785)/((-6)/(-3)). -35 What is the value of ((-796)/(-46765))/(-10*21/(-175))? 2/141 Evaluate (-1033)/2066*1/(28/(-273)*(-9)/(-48)). 26 Evaluate 4/(((-7)/(-3))/(1757/251)). 12 W
{ "pile_set_name": "DM Mathematics" }
highest common factor of 24 and k? 8 Let l(a) = -a**2 + 5*a - 4. Let w be l(3). Let q(u) = 6*u - 3. Let i be q(w). What is the highest common divisor of i and 18? 9 Suppose -2*s + 45 = -7*o + 4*o, -4*s + 5*o + 85 = 0. Calculate the greatest common factor of s and 165. 15 Suppose -4*z + 21 = 5. What is the greatest common divisor of 6 and z? 2 Let f = -11 - -16. Suppose -f*g = -0*a - 5*a + 105, -5*g = -2*a + 57. What is the greatest common factor of 16 and a? 16 Let q(b) = 3*b + 1. Let x be (-4)/(5/((-5)/2)). Let p be q(x). Suppose 4*y = p*y - 360. What is the greatest common divisor of 15 and y? 15 Let x(d) be the second derivative of -d**3/6 - d**2 + 3*d. Let v be x(-7). Calculate the greatest common divisor of 5 and v. 5 Suppose 5*w - 2 = -r, r - w - w - 16 = 0. What is the highest common divisor of r and 24? 12 Suppose -7*v = -2*v - 75. Calculate the highest common divisor of v and 60. 15 Suppose 4*i - 6 = 2. Let f be ((-2)/(-3))/(3/36). What is the highest common factor of i and f? 2 Suppose 4*n + 8 = 4*z, 2*n - 2*z = -n - 2. Suppose -12 = -3*r + 2*i - 0*i, -n*r + 2*i + 8 = 0. Calculate the greatest common factor of r and 10. 2 Suppose -5*g + 4*g = -7. Suppose g*l - 191 = 313. Calculate the greatest common factor of 9 and l. 9 Suppose -5*y + 0*y = 4*v - 41, 4*v + 9 = 5*y. Calculate the greatest common factor of v and 1. 1 Let h be (-2)/(-4) - (-207)/6. Let y = -24 + h. What is the highest common factor of 33 and y? 11 Let m(s) = s**2 - 2*s + 102. Let k be m(0). What is the highest common factor of 17 and k? 17 Suppose 3*y + 0*y = -27. Let m = y + 29. Suppose -2*j = 2 - 12. Calculate the greatest common factor of m and j. 5 Let a = 5 - 2. Suppose n + 2 = 35. What is the highest common factor of n and a? 3 Let v = 187 + -268. Let o = -29 - v. What is the highest common factor of o and 13? 13 Let t = -5 + 13. Let n be (-212)/(-16) - 2/t. Let h = 29 - n. What is the highest common factor of h and 4? 4 Let w = -4 - 0. Let m be w/5*(-110)/4. Let j(h) = -h**2 - 2*h + 2. Let y be j(0). What is the greatest common divisor of y and m? 2 Let b be (-1)/(3 - (-28)/(-8)). Let v(w) = w**2 + 3*w - 2. Let f be v(b). Calculate the greatest common factor of f and 72. 8 Let d(v) = -v**3 + 2*v**2 - 2*v. Let f be d(3). Let x be (-3)/f + 148/10. Let z be 9/(0 + (-2)/(-30)). What is the highest common divisor of z and x? 15 Let l = -1 - -15. Let h(g) = g**2 - 3*g - 5. Let r be h(5). Suppose -r*u = -0*u - 105. Calculate the highest common divisor of l and u. 7 Let a(x) = 7*x - 13. Let o be a(4). Calculate the highest common divisor of o and 3. 3 Let z = -81 + 113. Let a be (-2)/(-4)*(0 + 128). What is the greatest common factor of a and z? 32 Let s = 160 - 124. Calculate the greatest common divisor of 96 and s. 12 Suppose -5*m + 4*m = 0. Suppose m*n + 15 = 3*n. Calculate the highest common factor of n and 5. 5 Let d be (3 + -5)/((-2)/28). Calculate the highest common divisor of d and 7. 7 Suppose -5*l + 383 = 4*u - 2*u, -158 = -2*l + 4*u. Let o be -1 + (-1)/(4/(-32)). Calculate the greatest common divisor of o and l. 7 Let y(u) = -u**2 - 6*u - 1. Let p be y(-5). Suppose 3*k + 12 = p*f - f, 0 = 2*k + 4*f - 10. Let h = k - -31. What is the greatest common divisor of 45 and h? 15 Let p(k) = 8*k + 40. Let x be p(-4). Calculate the highest common divisor of x and 16. 8 Suppose -5*n + 2*v = -152, -2*n + 5*v - v + 64 = 0. What is the highest common factor of 15 and n? 15 Let d(q) be the first derivative of 4*q**3/3 + q**2 + q + 3. Let i be d(-1). Suppose i*c = 5*c - 22. Calculate the highest common divisor of 11 and c. 11 Suppose 5*n - 95 = -5*t, 0*t - 5*n - 65 = -5*t. Calculate the highest common factor of t and 48. 16 Suppose 8*z - 4*z - 8 = 0. What is the highest common divisor of 1 and z? 1 Suppose -3*c = -2*c - 8. Calculate the highest common factor of c and 4. 4 Let s = 73 - 29. Suppose -4*r + 448 = -2*z, -4*r + 8*z - 9*z + 436 = 0. Calculate the greatest common divisor of s and r. 22 Suppose -2*b + 4 = -0. Let h be b/(-7) - 74/(-14). Suppose 0*p - 2*p = 3*w - 52, 4*w - h*p - 77 = 0. Calculate the highest common factor of w and 45. 9 Let x be -2 - (-159 + (-1 - 2)). What is the highest common divisor of 20 and x? 20 Let s be 8*15/(-2)*24/(-120). Calculate the greatest common factor of s and 3. 3 Let i be 2/6*3*-1. Let x be ((-15)/6)/i*6. Suppose -x + 5 = -2*y. What is the greatest common factor of y and 10? 5 Suppose -11 = -5*r + 14. Let c be r/(-10) - 2102/(-4). Suppose 0*v = 5*v - c. Calculate the highest common divisor of v and 15. 15 Suppose 5*f + k = 154, 0*k - 128 = -4*f - 2*k. Suppose -j + f = j. What is the highest common divisor of j and 165? 15 Let q be 19 + -23 - (-46 - 0). Calculate the highest common divisor of 2 and q. 2 Let w(t) = 57*t**2 + 3*t - 2. Let n be w(-2). Calculate the highest common factor of 20 and n. 20 Suppose 23 = 4*k + 4*o - 353, 3*k - 2*o - 267 = 0. Suppose -2*b = -5*b + 39. What is the highest common factor of k and b? 13 Let r = -27 + 45. What is the greatest common factor of 72 and r? 18 Suppose -2*m = 4*q + 10, -5*m + 0 = 2*q + 1. Calculate the highest common factor of m and 11. 1 Let a be 105/9 + (-6)/9. Suppose 10 = 2*l + 2*t, -3*l + t + a = 3*t. What is the highest common factor of 5 and l? 1 Let y(l) = -14*l**3 + l**2 - l - 1. Let j be ((-2)/(-1 + 3))/1. Let q be y(j). What is the greatest common factor of 120 and q? 15 Suppose 2*a = 5*a - 15. Suppose -a*o + 3*o = -80. Let n = o + 80. Calculate the highest common factor of 15 and n. 15 Let t = 7 + -1. Let h be (2/(-3))/(2/(-9)). Suppose -12 = -3*j - h. What is the greatest common divisor of j and t? 3 Let c be 32/(-12)*(-9)/(-4). Let i be c/18 - 106/(-3). Calculate the highest common factor of i and 5. 5 Suppose -5*p + 0*k = 3*k - 27, -2*k + 11 = p. Let i(t) = -2*t - 7. Let s be i(-5). What is the highest common factor of s and p? 3 Let x = 106 + -51. Let h be 1*23 - (0 + 1). What is the greatest common factor of h and x? 11 Suppose 3*p - 2*o = 6, 0*o = -4*p + 3*o + 8. Let n be -1 + (-4)/p + 32. What is the highest common divisor of 261 and n? 29 Let p = 10 + 20. Let v = p - 19. Calculate the highest common factor of 44 and v. 11 Suppose -3*r - 5*b + 12 = 0, -6*b + 2*b = -4*r + 48. Calculate the greatest common factor of r and 81. 9 Let z(t) = -t**3 + 7*t**2 - 5*t - 3. Let y be z(6). Suppose -y*d - 2*h + 139 = 0, -2*d - 2*d + 190 = 5*h. What is the greatest common divisor of d and 18? 9 Let f = 16 - -60. Suppose 3*g = -3, 0 = -2*p + 5*g + 9 + f. Calculate the greatest common factor of 5 and p. 5 Let k(m) = m**2 - 2*m + 12. Let c be k(-12). Calculate the highest common factor of 20 and c. 20 Let j(o) = 3*o - 5*o + o + o**2. Let h be j(2). Suppose 7*q = 4*l + 3*q - 64, 0 = l + 4*q - 26. Calculate the highest common divisor of l and h. 2 Suppose 0 = -3*w + 4*w - 40. Calculate the greatest common factor of 8 and w. 8 Let a(i) = -6*i - 5. Let r be a(-4). What is the highest common factor of 133 and r? 19 Suppose -13*g + 1232 = -6*g. Let u = -23 - -39. Calculate the greatest common factor of g and u. 16 Let f(x) = -x**2 + 20. Let a be f(0). Suppose 2*z = 8 - 0. Calculate the greatest common factor of z and a. 4 Suppose 0 = -2*s - s + 6. Suppose 2*g - 3 = g. Suppose -s*u - g*u = -55. What is the greatest common factor of 44 and u? 11 Suppose 0 = l - 5*o - 221, 4*o = -0*o. Calculate the greatest common divisor of 13 and l. 13 Let d be 1*(2 + -1) + 3. Let s be 10/d + (-5)/(-10). Suppose -s*k + 2 = -7. Calculate the greatest common factor of k and 21. 3 Let p(n) = n**3 - 5*n**2 - 13*n - 1. Let z be p(7). What is the highest common factor of 24 and z? 6 Suppose 0 = -5*d - 4*n + 15 + 4, -5*d = -n - 14. Let t(c) = 15*c - 7. Let v be t(d). Calculate the highest common factor of 57 and v. 19 Suppose -5*m + 15 = -2*q, 0 = 2*m - 0*q - q - 5. Let x = 6 - 4. Suppose 34 = m*r + 3*c - 17, x*r = -4*c + 12. Calculate the highest common factor of r and 4. 4 Let h = 0 + 2. Let n be (-109)/(-3) - h/6. Let i = 45 + -27. Calculate the greatest common divisor of n and i. 18 Suppose 2*z + 8 = 4*w + 5*z, 0 = 5*w - 4*z - 10. Suppose -2 = -w*h + h. Suppose 2 + 4 = h*c. What is the greatest common factor of c and 15? 3 Suppose 0*t = -c - 4*t - 4, -4*c = 3*t + 3. Suppose -5*x + 112 = v, c*x - 4*x = 5*v -
{ "pile_set_name": "DM Mathematics" }
38) + 8/(-76)*1 composite? False Let i = -16 + 4. Is (6/(-4))/(i/80) composite? True Let z = -5 + 8. Suppose z*i - 476 = 5*j, -3*i - 174 + 649 = -4*j. Is i prime? True Suppose 2*g + 97 = 3*g. Let n be 0/2*(-2)/4. Suppose -k - 32 + g = n. Is k composite? True Let t be 3/2*(1 + 1). Suppose 21 = -t*w + 4*w. Is (0 - (-6)/3) + w composite? False Suppose -5*w + 29 = 4. Suppose -4*t - g + 63 = 4*g, -t + w*g + 47 = 0. Is t composite? True Let j be 1/1 - (5 + -7). Suppose j*q + 0*q = 267. Is q composite? False Is 1*((-172)/(-2) + -3) a composite number? False Suppose 0 = -5*q - 10, -3*b - 3*q = 2*b - 409. Is b a prime number? True Suppose 0 = -9*l + 2918 + 1501. Is l a prime number? True Suppose 0*c = 2*c + 402. Let g = -108 - c. Is g a prime number? False Let q(w) = -w. Let u be q(3). Let z be (u/5 + 1)*5. Is 8/(-4)*(-111)/z composite? True Suppose -2*q + 1042 = 3*z - 3927, -4*z + 6626 = 2*q. Is z composite? False Let s(l) = -6*l**2 + l + 1. Let d be s(-1). Let h = -7 - d. Is (-1)/h*-1 - -38 prime? True Suppose b = 31 + 54. Is b composite? True Let y = -725 - -1358. Is y composite? True Let c(w) = 33*w + 4. Is c(3) a composite number? False Suppose 0 = 4*t - 8 - 0. Let r be 0*t/(-4) - 298. Is (r/(-1))/(2 - 0) prime? True Suppose 0 = 5*j + 3*v - 1931, 0*j + 785 = 2*j - 3*v. Suppose -3*p = 0, -d - p = 3*d - j. Is d a prime number? True Is 28/98 - (-719)/7 a prime number? True Suppose -1634 = -5*o + 701. Is o composite? False Suppose 0*x + 2 = -x. Is 2 + (-29)/2*x a prime number? True Let x = -272 - -527. Suppose -z + x = 4*z. Is z a composite number? True Let h be (-1)/(-5) + 140/50. Suppose 49 = h*c - 80. Let b = c + 46. Is b a prime number? True Let y = 346 - 763. Let o be (-3)/(-12) - y/12. Let g = 30 + o. Is g a prime number? False Let i = 4 - 8. Let n(k) = -3*k**3 - 4*k**2 + 3*k + 3. Is n(i) composite? True Suppose 0 = 2*w + 3*z - 1933, w - 5*z = 985 - 25. Suppose -5*j + 5*n + w = 0, 255 + 515 = 4*j - 2*n. Let b = 281 - j. Is b a prime number? True Let x(k) be the first derivative of k**4/24 + 23*k**3/2 + k**2 + 3. Let c(y) be the second derivative of x(y). Is c(0) a prime number? False Suppose -5 = -j - 3*t, -5*j - t = -7 - 4. Suppose 28 = j*h + 4*f, 0 = 3*f + f - 16. Is h prime? False Let y(p) = p + 106. Let s be y(0). Suppose s + 229 = k. Is k a composite number? True Let o be 1 + -1 + (32 - -5). Let s = o - -22. Is s prime? True Let z(l) be the first derivative of 7*l**3/3 + l**2 + l - 1. Let s be z(-1). Let c(i) = 2*i**2 - 3*i - 5. Is c(s) a prime number? False Let u = 11 - 6. Suppose -b - 4*f - 35 = -773, -4*b + u*f + 2889 = 0. Suppose 256 = -2*x + b. Is x a composite number? True Let n(q) = -q + 6. Let h be n(6). Suppose m - 7*p - 18 = -2*p, 5*m + 4*p - 3 = h. Suppose m*l = 8*l - 75. Is l prime? False Suppose 0 = -3*z + 3*r + 105, -r - 2*r + 27 = z. Let x = z + 4. Is x a composite number? False Let m = 11 - 5. Suppose -m = -4*a - 2. Let c(n) = 15*n**3 + n**2 - 2*n + 1. Is c(a) prime? False Suppose 0 = 3*r - 5*z - 373, 4*r + 3*z - 363 = 173. Is r composite? False Suppose 0 = 4*h - 9*h + 15. Suppose 0*v - v + 8 = h*q, -4*v = q + 1. Suppose -n - q*y + 31 = 0, -85 = -7*n + 3*n + y. Is n composite? True Suppose 69 = 5*i - j, 4*i + 0*j = -5*j + 61. Suppose 4*r - 204 = -2*o, 5*r - 241 = o + i. Is r a composite number? True Suppose -2*p - k + 4*k - 61 = 0, 0 = -k - 3. Let x = -20 - p. Suppose x = d - 19. Is d a prime number? False Let q(x) = x**2 - 7*x + 3. Let i(j) = j**2 - 4*j - 6. Let f be i(6). Let o be q(f). Is 21 - o*6/(-9) a composite number? False Suppose -i = 4*i. Suppose 4*p = -i*p - 2*g + 16, -3*g = -3*p + 21. Suppose -p*x + 44 = -x. Is x a composite number? False Let d(k) = 2*k + 0*k - 9*k. Is d(-5) a prime number? False Let c = 107 + 1082. Let j = c + -522. Is j a composite number? True Let w be (-1)/4 - (-819)/12. Let n = 90 + w. Suppose b = -b + n. Is b a prime number? True Suppose -2109 - 21 = -6*l. Is l a prime number? False Suppose -2*m - 10 = 3*m. Let x(a) = -5*a**3 + 2*a + 1. Is x(m) composite? False Let n(d) = -4*d - d**2 + 0*d**2 + 2*d - 1 + 55*d**3 - d**2. Let i be n(-1). Let p = 23 - i. Is p a composite number? False Suppose 4*w - 3 = 17. Suppose 0*v = 5*v + 5*d - 515, 2*v - 234 = w*d. Suppose -q + v = -4*i, 3*q + 2*i - 4*i - 341 = 0. Is q a prime number? False Suppose -4*f + 64 = -76. Let a = f - 16. Is (a/3)/((-2)/(-6)) composite? False Suppose -2*b + 204 + 52 = 0. Let w = b - 40. Suppose 2*p + 2*p - 2*j - 122 = 0, -3*p + w = -5*j. Is p a composite number? False Let j(y) = -y**3 + 9*y**2 + 6. Let n be -1 - ((-54)/(-2))/(-1). Suppose 0 = -4*z + n + 10. Is j(z) a prime number? False Is 2688/7 + -3 - (0 - -4) a prime number? False Let g(i) = -6*i + 251. Is g(0) a prime number? True Let r = 3 - 0. Let l(w) = -3 - r*w - 2*w - 2*w - w. Is l(-7) a prime number? True Let k(l) = l + 1. Let x be k(0). Let a be (-2)/x - -2 - 1. Let r = a + 96. Is r a prime number? False Let q(c) be the first derivative of -1/2*c**2 - 2 + 10*c. Is q(-9) a composite number? False Let h = 11 + -4. Let m(j) = 21*j**2 + j - 4. Let v be m(h). Is (-2)/(-6) - v/(-9) prime? False Suppose 1410 = 8*n - 5846. Is n a prime number? True Let t = 404 - 263. Let m be 0 - (-1 - (1 + -2)). Suppose m*w = -3*w + t. Is w prime? True Suppose u + 2*u = -2*b + 583, 4*b = 4*u - 744. Is u prime? True Suppose 23*d + d = 17256. Is d a composite number? False Let x(d) = d**2 - d + 445. Suppose -3*h + h = 0. Is x(h) a composite number? True Let n = 29018 + -18217. Is n a prime number? False Let q(v) = 6 + 43*v**2 + 2*v - 7 - 3*v. Is q(-1) composite? False Let w(y) = 2*y**2 - 3*y + 1. Let r be 17/4 - (-2)/(-8). Is w(r) a composite number? True Suppose t - 4*b + 8*b - 25 = 0, 0 = -4*b + 12. Let o = t + -8. Suppose 0*l - o*l = -15. Is l composite? False Let x(i) be the second derivative of i**4/12 + 7*i**3/6 + i**2 + 2*i. Let v(j) be the first derivative of x(j). Is v(9) composite? True Suppose 8*u - 28093 = -5*u. Is u a composite number? False Let g(k) = k**3 + 5*k - 4*k**3 + 0*k - 4 + 2*k**3 + 7*k**2. Let z(d) = -3*d - 2. Let y be z(-3). Is g(y) prime? True Suppose -2*o + 5*o - 9 = 0. Suppose -3 = 3*x + o. Is (-190)/x*4/4 prime? False Let t(u) = -3*u + 2 - 3 + 0. Let s be t(-1). Is 1/(s - (-135)/(-69)) a prime number? True Let y = -6 + 9. Suppose 6*n - 12 = y*n. Suppose n*h + 0*h + 39 = z, -2*h = 10. Is z composite? False Let i(k) = 66*k**3 + k. Let u be i(-1). Suppose 10*h + 276 = 4*h. Let f = h - u. Is f a composite number? True Is (-2 - -220)*(33/6 - 5) prime? True Suppose -4*x + 2442 = 2*x. Is x prime? False Let c(u) = -2*u + 202. Is c(0) prime? False Suppose -q - 4 = -f + 4, -4*q - 24 = -2*f. Suppose n - f*g = g + 47, -2*n + g = -139. Let a = -23 + n. Is a a composite number? True Let q(i) = -i**3 + 6*i**2 + i - 1. Is q(-8) prime? True Suppose -10 + 16 = 2*s. Is s/5 - (-1620)/50 composite? True Let d(y) = y**2 - 2. Let t be d(-2). Suppose 4*n - 6 = t*n + 2*v, 8 = 2*n - 3*v. Suppose n + 35 = 4*o - 4*r, 0 = 3*o + 4*r - 13. Is o a composite number? False Is (-13)/65 - 1872/(-10) a composite number? True Let z = 19 + -29. Let m = z + 21. Is m a prime number? True Let f(h) = h + 7. Let p be f(0). Suppose -p*o + 12*o = 245. Is o prime? False Let w(y) = -15*y - 7. Is w(-4) composite? False Let p = 1144 - 2662. Is (p/12)/(1/(-2)) prime? False Let d be (-3 - -2)*(-1 - -2). Let o(y) = -37*y**3 + y**2 + 2*y + 1. Let q be o(d). Let n = -2 + q. Is n a composite number? True Let x be (2/3)/(18/81). Suppose 3*m - 5*m - x*r + 176 = 0, -4*m + 2*r + 336 = 0. Is m a composite number? True Suppose -2*s = 5*h - s - 2185, 2*h - s = 874. Is h composite? True Let h(i) = -i**2 - 7. Let j(q) = 3*q**2 + q + 20. Let l(t) = -17*h(t) - 6*j(t). Let m be l(-6). Is -2 + 85 + m + 1 prime? True Let b(l) = 3 - 2 + 4*l**2 - l**2 - 13*l - l**2. Is b(-10) prime? True Suppose 0 = 3*n + n - 2124. Let i = -175 - 177. Let r = i + n. Is r prime? True Suppose -5 = 6*g - g. Let t = g + 66. Is t prime? False Let d(p) = -7 - 6 - 9*p - 3*p. Is d(-6) a prime number? True Let t = -13 - -18. Suppose -5*g + 980 = t*k, 3*k - 964 = -5*g + 6*k. Is g composite? True Suppose 4*d - 1481 = -3*r, 2*d - 2487 = -5*r - 0*d. Is r a prime number? True Is (-215)/(-2)*12/15 a prime number? False Let p(s) = s**3 + 25*s**2 - 4*s + 19. Is p(-
{ "pile_set_name": "DM Mathematics" }
.4 Sort -49, 100, -2 in descending order. 100, -2, -49 Sort 116, -2, 12 in decreasing order. 116, 12, -2 Sort 3, -125, 1. -125, 1, 3 Sort 5, 12, -38. -38, 5, 12 Sort 3/2, 0.7, -16 in descending order. 3/2, 0.7, -16 Sort -144, 1, 108, -1 in decreasing order. 108, 1, -1, -144 Sort 9, 20, 5, -5, 3. -5, 3, 5, 9, 20 Sort 3, -5, 37, -1 in decreasing order. 37, 3, -1, -5 Sort -20, 1, -3 in decreasing order. 1, -3, -20 Put -4/5, 1, -6/13, 2/3 in descending order. 1, 2/3, -6/13, -4/5 Sort 15, 4, -5, 5. -5, 4, 5, 15 Put 1, 21, -2, -4 in decreasing order. 21, 1, -2, -4 Put 5448, -1, 0 in ascending order. -1, 0, 5448 Put -1/10, -2/13, 7685, -0.5 in increasing order. -0.5, -2/13, -1/10, 7685 Put -2, -5, -357 in descending order. -2, -5, -357 Sort 5, -5, -8, 16 in decreasing order. 16, 5, -5, -8 Put 4, 0, -2, -0.3, 0.095 in ascending order. -2, -0.3, 0, 0.095, 4 Sort 3, -3, 0, 27, 1 in decreasing order. 27, 3, 1, 0, -3 Put 5, -1/3, -1/4, -3 in descending order. 5, -1/4, -1/3, -3 Sort -12, -1, -7, 3. -12, -7, -1, 3 Sort 4, 409, -7 in decreasing order. 409, 4, -7 Put -2, 12, -0.09, -1/2 in increasing order. -2, -1/2, -0.09, 12 Sort 2, 4, -128, 3 in decreasing order. 4, 3, 2, -128 Sort -3, 20, -1, -20 in increasing order. -20, -3, -1, 20 Put 0, -4, -33 in decreasing order. 0, -4, -33 Put 43/4, 1, 0, 0.3 in increasing order. 0, 0.3, 1, 43/4 Put -3, 2, 5, -0.3 in increasing order. -3, -0.3, 2, 5 Put -4, 0, -1184 in decreasing order. 0, -4, -1184 Sort 0, 30, 4 in descending order. 30, 4, 0 Sort -4, 2, -1/7, 4. -4, -1/7, 2, 4 Put -1, -84, 2, 0, -7 in descending order. 2, 0, -1, -7, -84 Sort -267, -0.4, 0.3 in descending order. 0.3, -0.4, -267 Sort -2/11, -1/7, -0.2, -0.6 in descending order. -1/7, -2/11, -0.2, -0.6 Put 49, -17, 2 in decreasing order. 49, 2, -17 Sort 0, 0.09, 4/5, 0.15, 4 in ascending order. 0, 0.09, 0.15, 4/5, 4 Put 0.1, -114, -0.4 in decreasing order. 0.1, -0.4, -114 Put 5, 3, -4, 2, 0 in ascending order. -4, 0, 2, 3, 5 Put 1, 7, 2, -5 in ascending order. -5, 1, 2, 7 Sort 3/8, -2/11, -2, 1/2, 185 in decreasing order. 185, 1/2, 3/8, -2/11, -2 Sort -4, 1, 2.1. -4, 1, 2.1 Sort -9, 3, 6, 0 in descending order. 6, 3, 0, -9 Sort -5, -2/3, -2, 0.2 in descending order. 0.2, -2/3, -2, -5 Sort -0.12, 0.1, -0.03 in ascending order. -0.12, -0.03, 0.1 Put 4, 25, 3 in ascending order. 3, 4, 25 Sort 7, -1, -5, -19, 0. -19, -5, -1, 0, 7 Put 4, 2, 0, -228, 1 in descending order. 4, 2, 1, 0, -228 Sort 0.5, 3, 1/6, -1/208 in increasing order. -1/208, 1/6, 0.5, 3 Put 3, -0.2, -0.246, 23/2 in increasing order. -0.246, -0.2, 3, 23/2 Sort 16.5, 1/4, 3. 1/4, 3, 16.5 Sort 140, -3, 1. -3, 1, 140 Put -7, 3, -2, -1, -8 in descending order. 3, -1, -2, -7, -8 Sort -1, -0.2716, 1/2 in decreasing order. 1/2, -0.2716, -1 Put -1, -4, -66 in decreasing order. -1, -4, -66 Sort -7/4, -0.2, -1/8, -2, -20 in ascending order. -20, -2, -7/4, -0.2, -1/8 Put -1, -9, 2 in descending order. 2, -1, -9 Put -0.9, -31, 1/4 in descending order. 1/4, -0.9, -31 Sort 0, 5, -1, 2174, -4 in descending order. 2174, 5, 0, -1, -4 Put 23.1, 4, -2 in descending order. 23.1, 4, -2 Put -1/5, 4, 374/7 in ascending order. -1/5, 4, 374/7 Sort -344, 4, -5 in increasing order. -344, -5, 4 Sort -2/25, -0.9, -0.03, -3, 2/15. -3, -0.9, -2/25, -0.03, 2/15 Sort -2, -14, 1/2, -2/7, 0.06 in descending order. 1/2, 0.06, -2/7, -2, -14 Sort 0.5, 4, -4, -3 in ascending order. -4, -3, 0.5, 4 Sort -1, 6, -40 in descending order. 6, -1, -40 Sort -18, 1, -3, 4 in ascending order. -18, -3, 1, 4 Sort 4, 0, 2/7, -0.076 in increasing order. -0.076, 0, 2/7, 4 Sort -1, -21, 1, 3. -21, -1, 1, 3 Sort -5, -0.4, -281 in decreasing order. -0.4, -5, -281 Put -1, 4, 5, -5 in decreasing order. 5, 4, -1, -5 Put -5, 3, -4, -141, -1 in ascending order. -141, -5, -4, -1, 3 Sort -3, -5, 4 in ascending order. -5, -3, 4 Put 0.5, -1/3, -0.12 in decreasing order. 0.5, -0.12, -1/3 Put -5/2, -78, 8 in decreasing order. 8, -5/2, -78 Put 1.1, 1, -10 in descending order. 1.1, 1, -10 Sort -173, -4, -5 in descending order. -4, -5, -173 Put -7, 0, -5 in descending order. 0, -5, -7 Sort 5, -3, -43 in descending order. 5, -3, -43 Sort 90, -8, 5, 2 in ascending order. -8, 2, 5, 90 Put 1/3, 0.07, -10, 0.2 in ascending order. -10, 0.07, 0.2, 1/3 Sort 15, -2, -1 in decreasing order. 15, -1, -2 Sort 4, -3, 76, -4 in decreasing order. 76, 4, -3, -4 Sort -5, -4, 19 in increasing order. -5, -4, 19 Put 97, -2, 4, -4 in ascending order. -4, -2, 4, 97 Put -5, 3, -29, 5 in descending order. 5, 3, -5, -29 Sort 2/7, -1, -2/7, 2/25 in descending order. 2/7, 2/25, -2/7, -1 Put 1, 0.05, 3, 5, 1/17 in decreasing order. 5, 3, 1, 1/17, 0.05 Sort -1, -5, -24, 3, 4. -24, -5, -1, 3, 4 Put -5, -2, 2, 4/3, 7 in decreasing order. 7, 2, 4/3, -2, -5 Put -2, 821, 0 in decreasing order. 821, 0, -2 Put -4/5, 3/5, -0.07 in decreasing order. 3/5, -0.07, -4/5 Sort 11, 3, -3, 2 in descending order. 11, 3, 2, -3 Sort -34, 12, -1 in decreasing order. 12, -1, -34 Put -6, -2, 29, 0, 2 in increasing order. -6, -2, 0, 2, 29 Sort -20, 22, 5 in descending order. 22, 5, -20 Sort -4, -2, -219 in increasing order. -219, -4, -2 Put 0.3, -2, -1/2868 in ascending order. -2, -1/2868, 0.3 Sort 4, 0, -5, 3 in descending order. 4, 3, 0, -5 Put -2/5, 2, 0, -2, -1/8 in descending order. 2, 0, -1/8, -2/5, -2 Put 14/9, 0.2, 3, -1/8, 5 in decreasing order. 5, 3, 14/9, 0.2, -1/8 Put -4, -5, 4, -7 in ascending order. -7, -5, -4, 4 Sort -1, 23, -2/3 in decreasing order. 23, -2/3, -1 Sort -3/5, 2, 17/2, -4. -4, -3/5, 2, 17/2 Sort -1, 0.4, 17, -2. -2, -1, 0.4, 17 Sort 5, 1792, -1, 0. -1, 0, 5, 1792 Put -86, -11, 3, 0, 0.2 in descending order. 3, 0.2, 0, -11, -86 Put -3, 3, 12, 2 in descending order. 12, 3, 2, -3 Sort -5, 0.2, -0.15, 1. -5, -0.15, 0.2, 1 Sort -3, 55, 30, -2 in increasing order. -3, -2, 30, 55 Sort -6, 1, -4, 0 in increasing order. -6, -4, 0, 1 Sort -1/6, -0.85, 5, -2/11 in descending order. 5, -1/6, -2/11, -0.85 Put 9, -30, 5, -4 in decreasing order. 9, 5, -4, -30 Put 0, 4, -0.003, -5/2 in ascending order. -5/2, -0.003, 0, 4 Sort -201, 8, -1, -4, 3/2 in ascending order. -201, -4, -1, 3/2, 8 Put -1, 5, -62 in descending order. 5, -1, -62 Sort -192, 1, 4. -192, 1, 4 Sort 3, 4, 1, -14, -49 in increasing order. -49, -14, 1, 3, 4 Put 0.193, 0.4, -1/5 in decreasing order. 0.4, 0.193, -1/5 Put -3, -1/3, -4 in decreasing order. -1/3, -3, -4 Sort -4, -1/4, -5129 in decreasing order. -1/4, -4, -5129 Sort -4, 3, 4, 26 in descending order. 26, 4, 3, -4 Put 5, 4, 79 in descending order. 79, 5, 4 Put 0, -5, -0.1, -19, 2/3 in descending order. 2/3, 0, -0.1, -5, -19 Put 4, -3, -5, 5 in descending order. 5, 4, -3, -5 Put 910, -10, -3 in descending order. 910, -3, -10 Sort 3, 12, 5, -27, -1 in decreasing order. 12, 5, 3, -1, -27 Put 2/9, 131, 2/7 in increasing order. 2/9, 2/7, 131 Sort -4, -1/7, -3, 4/5, 0.1 in ascending order. -4, -3, -1/7, 0.1, 4/5 Put -0.5, -8, 102 in descending order. 102, -0.5, -8 Put 4, 0, -16, -3, -5 in descending order. 4, 0, -3, -5, -16 Sort 29, -16, -4 in decreasing order. 29, -4, -16 Sort 1/21, 0, -4/7, 0.7 in decreasing order. 0.7, 1/21, 0, -4/7 Sort -2/3, -5, 1/61 in decreasing order. 1/61, -2/3, -5 Put -3, 2, 0.3, -16 in decreasing order. 2, 0.3, -3, -16 Sort 1, 5, 2, 109 in descending order. 109, 5, 2, 1 Put 2, 18, -1, -4, -2 in descending order. 18, 2, -1, -2, -4 Sort -54, -3, -5. -54, -5, -3 Sort 4, 1, 15, -1, 9 in descending order. 15, 9, 4, 1, -1 Sort 0.02, -1/3, 2/19, 0.4 in ascending order. -1/3, 0.02, 2/19, 0.4 Put -39, 0, -5 in decreasing order. 0, -5, -39 Put -5, 1, 2/11, -8, 5/4 in decreasing order. 5/4, 1, 2/11, -5, -8 Put 31, -3, -15, 3 in decreasing order. 31, 3, -3, -15 Sort -1/2, -0.4, 1/6, 4/5 in ascending order. -1/2, -0.4, 1/6, 4/5 Sort -3/4, -5, -88, -2/7, 0.5 in decreasing order. 0.5, -2/7, -3/4, -5, -88 Sort -2.42, 2.2, 0.4. -2.42, 0.4, 2.2 Sort 4, -6, -3. -6, -3, 4 Put -3, 2, 3, 4, 1 in ascending order. -3, 1, 2, 3, 4 Put -4, 0, -24, 20 in increasing order. -24, -4, 0, 20 Put -3, 1, -1, -42 in descending order. 1, -1, -3, -42 Sort 0, -11, -4, -5 in ascending order. -11, -5, -4, 0 Put 0.2, 4, -47 in ascending order. -47, 0.2, 4 Put 0, 238, -5, -6 in ascending order. -6, -5, 0, 238 Put 0.5, 2.7, -1/13 in decreasing order. 2.7, 0.5, -1/13 Sort -619, -4, 2, 5 in descen
{ "pile_set_name": "DM Mathematics" }
e the second derivative of -d*p**5 + 0*p**4 + 0 - 11/2*p**2 + 0*p**3 + 10*p. Find the first derivative of g(f) wrt f. -18*f**2 Suppose -2 = -3*q + 4. What is the second derivative of 3*o**q - 13*o - 2*o - 3*o + 2*o**2 wrt o? 10 Suppose r + 15 = 6*r. Suppose -5*b = 4*d + 1 - 3, r*b = -3*d. Find the third derivative of -6*p**2 + 7*p**3 + 8*p**b + 9*p**2 wrt p. 42 Differentiate -37*q**2 + 14 + 15*q**2 + 10*q**2 + q + 1 with respect to q. -24*q + 1 Let x(f) = 12*f**3 + 2*f - 3. Let g be x(1). What is the second derivative of -3*i - 10*i + 27*i**5 + g*i wrt i? 540*i**3 Let k = 8 + -2. Suppose 3*v = -5 + 11. Find the second derivative of k*y**5 - 9 + 11 - y - v wrt y. 120*y**3 What is the third derivative of -34*m**3 + 34*m**3 - 555*m - 306*m**4 - 49*m**2 + 553*m wrt m? -7344*m What is the third derivative of 31*h**3 + 8*h + h**2 + 9*h + 13*h + 3*h**5 - 15*h wrt h? 180*h**2 + 186 Find the second derivative of 508*q - 411*q - 5*q**5 + 11*q**4 - 2*q**5 wrt q. -140*q**3 + 132*q**2 Let f be (-3)/(-5)*-1*(2 + -7). Find the third derivative of -f*b**2 - 4*b**5 - 9*b**2 - 6*b**5 wrt b. -600*b**2 Let l(a) = a**2 - a - 4. Let u be l(3). What is the derivative of 3 - 2*j**2 + 5 + u*j**2 - 5*j**2 wrt j? -10*j Let q(t) = t**5 - t**4 - t**2. Let p(n) = -74*n**5 + 4*n**4 + 4*n**2 + 7*n + 1. Let s(y) = -p(y) - 4*q(y). Find the second derivative of s(w) wrt w. 1400*w**3 Let j = 2 + -1. Let h(f) = 17*f - 117. Let v be h(7). Differentiate 3*q**2 + 2 + j - v - 2*q**2 with respect to q. 2*q Let w = 2 - -1. Suppose i - 2*v - 3 = 1, -5*i + w*v = -20. Find the third derivative of -3*t**5 - 11*t**4 + 2*t**2 + 11*t**i wrt t. -180*t**2 Suppose -210 = -0*a - 5*a. Let z be (-8)/14*a/(-12). What is the first derivative of 3*f**2 - 7 + 2 + 0*f**z - 8*f**2 wrt f? -10*f Suppose 0 = p + 4 - 6. What is the third derivative of -4*k**2 + k**3 - k**3 + 13*k**p + 12*k**4 wrt k? 288*k Let h = -21 - -25. Find the second derivative of -4*q**4 + 4*q**4 + 10*q**5 + 8*q + h*q**5 wrt q. 280*q**3 Let u(x) = -x + 1. Let c be u(-5). Find the third derivative of -5*l**6 - 12*l**2 + 2*l**4 + c*l**2 - 2*l**4 wrt l. -600*l**3 Let u(h) = 246*h**3 - 176*h**2 + 3. Let m(d) = -82*d**3 + 59*d**2 - 1. Let o(t) = -17*m(t) - 6*u(t). Find the third derivative of o(v) wrt v. -492 Let h(v) = -2*v**2 + 21*v - 28. Let n(f) = -f. Let s(q) = -h(q) - 2*n(q). Find the first derivative of s(y) wrt y. 4*y - 19 Let y(h) = -2*h**3 - 16*h**2 + 2*h + 8. Let f(p) = p**2 + 1. Let r(i) = 5*f(i) - y(i). What is the second derivative of r(n) wrt n? 12*n + 42 Let c(g) be the third derivative of -23*g**7/210 - 22*g**3/3 + 70*g**2. What is the first derivative of c(w) wrt w? -92*w**3 Let m(h) = -h**3 - 1. Let n(x) = -8*x**3 - 16*x**2 - 59. Let y(u) = 6*m(u) - n(u). Differentiate y(k) wrt k. 6*k**2 + 32*k What is the second derivative of -2*x**4 - 4*x**2 + 10*x + 40 - 18 - 23 + 11*x**2 wrt x? -24*x**2 + 14 Let m = -94 + 99. Let h(i) be the first derivative of 4 - 7/4*i**4 + m*i + 0*i**2 + 0*i**3. Differentiate h(l) with respect to l. -21*l**2 Let j(p) = -470*p + 272. Let d(b) = 939*b - 540. Let l(i) = -3*d(i) - 5*j(i). What is the derivative of l(s) wrt s? -467 Let d(v) = -799*v**3 + 9*v**2 + 1085*v + 18. Let n(b) = -399*b**3 + 4*b**2 + 542*b + 8. Let f(t) = -4*d(t) + 9*n(t). Find the second derivative of f(k) wrt k. -2370*k Let g = -48 + 54. Find the third derivative of -4*w**g + 8*w**6 - w**2 - w**2 + 8*w**2 wrt w. 480*w**3 Let v(k) = -354*k**3 - 856*k**2 - 5. Let f(s) = 177*s**3 + 427*s**2 + 3. Let r(a) = -5*f(a) - 3*v(a). Find the third derivative of r(h) wrt h. 1062 Let h(p) be the second derivative of 0 + 0*p**4 + 5/3*p**3 - p + 0*p**2 - 17/20*p**5. Find the second derivative of h(d) wrt d. -102*d Let j(h) be the first derivative of 23 + 0*h**4 - 13/3*h**3 + 7/3*h**6 + 0*h**2 + 0*h + 0*h**5. Find the third derivative of j(i) wrt i. 840*i**2 Let p be 3*1/(-9)*-15. Let m be 2*-3*(-2)/4. Find the second derivative of -6*j - 3*j**2 + p*j**3 + m*j**2 + 5*j wrt j. 30*j Let v(t) be the second derivative of 707*t**6/30 + 29*t**2/2 - 58*t - 1. Differentiate v(u) with respect to u. 2828*u**3 Find the second derivative of -13741*a**5 + a - 272 + 6919*a**5 + 6973*a**5 wrt a. 3020*a**3 Let h(a) = -a**2 + 5*a - 2. Let i be h(2). Suppose -2*j + 5*d - 35 = -7*j, 0 = 4*j + 3*d - 25. Differentiate 4 + 4*q**j - 4*q**i - 2 + 4*q**4 wrt q. 16*q**3 Find the third derivative of -218*n**2 - 41*n**3 - 221*n**2 - 214*n**2 - n + 634*n**2 wrt n. -246 Suppose 2*r + 10 = 2*l - 0*r, r = 5*l - 21. Suppose -3*o = -3*j + 24, -o + 0 - 5 = 0. Find the third derivative of -4*p**l - p**2 + 7*p**3 - 7*p**j wrt p. -96*p Suppose -v + 3*j = -11, 0 = -v - 5*j - 7 - 6. What is the third derivative of 15 + 17 - 32 + 14*s**4 - 5*s**v wrt s? 336*s Let y(h) be the third derivative of h**8/80 + 7*h**4/8 + 9*h**3/2 - 17*h**2. Let o(a) be the first derivative of y(a). Differentiate o(z) wrt z. 84*z**3 What is the derivative of 2874 - 41*l**3 - 2838 - 71*l**3 wrt l? -336*l**2 What is the first derivative of -37*r + 2*r - 50 - 26*r + 6 wrt r? -61 Let x be (6*(-4)/8 + 2)*-8. Find the second derivative of 33*q + q + 27*q**3 + x*q**4 - 27*q**3 wrt q. 96*q**2 Let n(q) be the first derivative of 9/5*q**5 + 0*q**2 + 0*q**4 + 11 + 0*q - 7/3*q**3. Find the third derivative of n(m) wrt m. 216*m Suppose -3*y - 12 = -5*y. Suppose -y*t - 21 = -9*t. What is the first derivative of 3 + 0 + 2 - t*z**2 + 2 wrt z? -14*z Suppose 2*h = 4*h. Suppose h = -5*v + 37 - 7. What is the third derivative of -9*r**2 + 3*r**v + r**2 + 3*r**2 wrt r? 360*r**3 Suppose a + 14 = 3*a + 3*u, 4*a - 3*u - 46 = 0. Find the first derivative of 14 - 9 + 7 + a*k wrt k. 10 Let w(y) = 17*y**4 - 5*y**3 - 8*y**2 + 229. Let m(v) = 16*v**4 - 5*v**3 - 10*v**2 + 229. Let j(k) = 4*m(k) - 5*w(k). Differentiate j(c) wrt c. -84*c**3 + 15*c**2 Let t(i) be the first derivative of 11*i**5/5 + 7*i**4/2 + 13*i**3/3 + 3*i**2/2 - 139. What is the third derivative of t(k) wrt k? 264*k + 84 Let q(y) = 13*y**3 + 42*y**2 + 895*y + 1175. Let x(d) = 9*d**3 + 30*d**2 + 597*d + 783. Let a(m) = 5*q(m) - 7*x(m). What is the first derivative of a(h) wrt h? 6*h**2 + 296 What is the first derivative of -735 - 4*b**2 + 699 + 15*b**2 wrt b? 22*b Let g = 21 + -17. Find the third derivative of 4 - 9*s**g + 2*s**2 - 4 - 3*s**4 wrt s. -288*s Suppose -2 + 4 = -2*s. Let k(a) = -6*a - 18. Let d(z) = -z. Let g(t) = s*k(t) + 24*d(t). Differentiate g(i) wrt i. -18 Find the third derivative of -5242 + 5242 - 2*q + 12*q**2 + 39*q**4 wrt q. 936*q Let d = -83 - -84. Let c(a) be the third derivative of a**3/6 - 5*a**2. Let b(j) = 10*j**2 - 11. Let p(w) = d*b(w) - c(w). What is the derivative of p(l) wrt l? 20*l Let p(l) = 665*l + 642. Let w(o) = 1330*o + 1286. Let v(k) = 5*p(k) - 3*w(k). Find the first derivative of v(b) wrt b. -665 Differentiate -7*s**3 - 222*s**3 - 195 + 32*s**3 - 19*s**3 wrt s. -648*s**2 Let r(q) = 5 - 7*q + 15 - 75*q**3 + 26. Let o(b) = 25*b**3 + 2*b - 15. Let a(d) = 7*o(d) + 2*r(d). Find the first derivative of a(l) wrt l. 75*l**2 Let h(p) = p**3 - p**2 - p. Let b(i) = -21*i**3 - 5*i**2 - 5*i + 35. Let w(z) = -b(z) + 5*h(z). Find the first derivative of w(j) wrt j. 78*j**2 Let f(x) = -4*x**2 - 9*x + 7. Let n be ((-9)/12)/(1/(-28)). Let a(y) = -y**2 - y + 1. Let t(c) = n*a(c) - 3*f(c). Find the second derivative of t(v) wrt v. -18 Suppose 2 = -3*c + 2*c. Let b = c + 5. Differentiate b - 2*d + 0*d - 4*d - 1 wrt d. -6 Let y be (-1)/(4/(2*-32)). What is the first derivative of 4 + 4 - 4 + y*x + 11 wrt x? 16 Suppose 0*c + 12 = 2*c. Differentiate -c - 14 + 40*p - 19 - 1 wrt p. 40 Suppose -2*d = -3*o + 13, 0*o - o + d + 5 = 0. Suppose z = o*z - 12. Find the third derivative of 0*c**6 + 0*c**2 + 2*c**2 + 2*c**z wrt c. 240*c**3 Let h(m) be the first derivative of -25 + 1/2*m**4 - 34/3*m**3 + 0*m + 0*m**2. What is the third derivative of h(v) wrt v? 12 Let d be (-12)/9*-1*12. Let w = 19 - d. Differentiate 5 - 1 - 2*u**w + 6*u**3 + 5*u**3 wrt u. 27*u**2 Suppose 0 = -m - 0*m. Suppose n = 7 - m. Differentiate 4 - 4*i**3 - 2*i**3 + 7*i**2 - n*i**2 with respect to i. -18*i**2 Suppose 6*b = 8 + 10. Let t(a) be the second derivative of -3*a + 0 - 7/6*a**b - a**2. Differentiate t(k) with respect to k. -7 What is the second derivative of -75*x**2 - 122*x + 37*
{ "pile_set_name": "DM Mathematics" }
z? (a) s (b) -3/7 (c) 4 b Let p = 638 + -635. What is the nearest to 0.1 in 0.3, 1, p, 1/26? 1/26 Let i = -1.713 + 1.413. Let g be 13/14 + (-1)/2. Which is the closest to -0.1? (a) g (b) i (c) -0.5 b Let f(p) = p**3 + 2*p**2 - 27*p + 8. Let y be f(4). Let o = -0.3 + 0.1. Which is the nearest to o? (a) y (b) 0.1 (c) 4/9 b Let h be (9/12)/((-14)/(-56)). What is the nearest to -0.1 in -4, 0.01, h? 0.01 Let f = -61.8 + 61.75. Which is the nearest to -2? (a) f (b) 1 (c) -0.4 (d) -0.1 c Let b = 1.4 + -0.6. Let k = -2.2 - b. Let g = -30 + 29.7. What is the closest to 0.1 in k, g, -0.4? g Let w = -22.35 + 19.35. Which is the nearest to 0? (a) 16 (b) 0 (c) w b Let b = 10.3 + -6.3. What is the nearest to -1/11 in b, 0.1, 3? 0.1 Let f(x) = x**2 - x + 2. Let p be f(2). Suppose 2*k - 2*b = 1 + 1, 2*k - b = p. Let y be 4/(-10) - (-36)/(-10). What is the nearest to 2/9 in -2/3, y, k? -2/3 Let k = 27.81 + -30.81. Which is the closest to k? (a) 0.04 (b) 3 (c) 0.8 a Suppose -36*w = -23*w + 26. Let j = -22 - -21. What is the closest to w in -4/3, 0.5, j? -4/3 Let k = 1875 - 1870. What is the nearest to -2 in 0.4, 0.6, k, 1/8? 1/8 Let x = 1/28 - -1/4. Let m = 29 - 13. Let l be ((-2)/m)/(15/20). What is the nearest to x in 4, 0.1, l? 0.1 Suppose 2*z - 5*q + 2 + 2 = 0, -5*q - 2 = -4*z. Suppose 4*g + p = -3*p + 12, 5*g = z*p - 17. Which is the closest to -1/2? (a) -3 (b) g (c) 4 b Let v = -2.036 + 0.036. Which is the closest to 3? (a) v (b) 2 (c) -5 b Let r = -1 - -0.8. Let w be (2 + 0)/((-16)/(-36)) - 4. What is the closest to 0 in r, -2, w? r Let w = 5.2 - 8. Let n = -228 + 231. Let t = n + w. Which is the nearest to -2/3? (a) -2/7 (b) 1 (c) t a Let g = 141/7 - 691/35. What is the closest to g in 0.1, 1, 0.02? 0.1 Let x(s) = -s**3 + 29*s**2 - 31*s + 86. Let g be x(28). Which is the nearest to 2? (a) g (b) -1/9 (c) 13 a Suppose -12 = 2*h + 2*h. Let f = -5 - -7. Let v = -6.5 + 7. What is the nearest to f in -1/3, v, h? v Let i = 44 + -44.081. Let j = -0.019 + i. Let p = -13 - -22. Which is the closest to j? (a) p (b) -2 (c) 2 b Let x = -6/997 - -1027/4985. What is the nearest to x in 4/3, 0, -5? 0 Let u be ((-12)/(-117))/(26/39). Let m be -3 + 20/8 + (-69)/(-2). Which is the nearest to m? (a) 3 (b) -0.5 (c) u a Let j = 7.13 - 0.53. Let m = -6.6 + j. What is the closest to 0 in m, -1, 6? m Let s = -686 + 685. What is the nearest to s in 2/3, 20, -1, -1/8? -1 Let g = -27.6 - -27.8. What is the nearest to -2 in 2/9, g, -4, 1/22? -4 Let q be 4 - (1 + (-26)/(-8)). Let d = -1.9 + -0.1. Let v = -24 + 21. What is the nearest to q in -0.5, d, v? -0.5 Let h = -9.1 - -8.6. What is the nearest to h in 1, 1/5, 5? 1/5 Let o = 0.1 - -0.1. Let n = -2.9 - -3. Which is the nearest to 2/3? (a) n (b) o (c) -2 b Let p = 56.79 + -57. Which is the nearest to 0.04? (a) p (b) 0 (c) 2 b Let w = -43/10 - -39/10. Which is the nearest to w? (a) -1/2 (b) 1/7 (c) -5 a Let s = 2/1617 + -1633/12936. What is the nearest to s in 1/5, -0.3, -15, 1/3? -0.3 Let j = -55/84 + 9/28. Let t = 3 - 2.96. Which is the closest to t? (a) j (b) 0.2 (c) -5 b Let m = 1 + 4. Let w = -0.02227 + 0.12227. Let t = 7 + -11. Which is the closest to w? (a) m (b) 1 (c) t b Let t = -30512/11 - -2774. Suppose 0 = 4*j - 9*j + 5*q - 5, 3*j = -2*q + 17. Which is the closest to 1? (a) j (b) t (c) 2 b Let v = 64 - 65. Which is the nearest to 0.1? (a) 0.4 (b) v (c) 1/3 c Let g = -79/385 - -2/385. What is the nearest to -1/3 in 8, 4, g? g Suppose 181 = b - 120. Let h = b + -19265/64. Let k = 115/832 - h. What is the nearest to -3 in 1/5, k, 4? k Let j = -0.5 - -0.4. Let x = 903.2 - 903. Which is the closest to j? (a) 1 (b) x (c) -2/7 c Let n = -0.03 - -2.03. Let d = 1791 + -1793. Let o(l) = l**3 - 4*l**2 + 4*l - 4. Let j be o(3). Which is the nearest to n? (a) 1 (b) d (c) j a Let i = 101.87 + 0.13. Let q = -102.3 + i. Which is the closest to 0? (a) q (b) -11 (c) 2 a Let i = -57 + 101. Let a = i - 45.9. Let j = a - -1.7. What is the closest to -1 in -1/2, -0.1, j? -1/2 Let z = 157 + -155. Which is the closest to 2/15? (a) z (b) 0.3 (c) 5 b Let o = -411 + 382.7. Let x = o - -14.3. Which is the nearest to 2? (a) -0.1 (b) x (c) 0 c Let g be 42/36*(-6 + (-228)/(-42)). Which is the closest to 1? (a) -4 (b) -2/7 (c) g (d) 5/4 d Let p = -382 + 383. Which is the nearest to p? (a) 0 (b) 0.1 (c) 11 (d) 0.2 d Suppose -i = 2*v + 2*v - 5, v = -5*i - 13. Let m be (v + 0)/((-10)/10). Let l be ((-3)/9*m)/2. What is the closest to l in 0.2, -5, -0.1? 0.2 Let d be ((-1)/(-1))/(-4 + -1). Suppose 14*f - 5*r + 17 = 13*f, 0 = -5*f - 5*r + 35. Which is the nearest to d? (a) -1/4 (b) f (c) -0.5 a Let u = -1.3 + 0.3. Let n = 501.4 - 500.4. Which is the closest to n? (a) 0.5 (b) 1 (c) u b Let r = 6 + -1. Let s = -0.5847 - -0.4847. Which is the nearest to -3/11? (a) r (b) s (c) 0 b Let j = -1.4 - -1.5. Let v(u) = u**3 - 2*u**2 - 2*u + 3. Let n be v(2). Let z be 0 - (n - 6/(-5)). Which is the nearest to -1? (a) -5 (b) z (c) j b Let y = 0.2725 - 0.0725. Which is the nearest to y? (a) -1/36 (b) -2/5 (c) 0.3 c Suppose -38*g + 35*g - 9 = 0. What is the nearest to -8 in -1, g, -0.3? g Let g = -0.1393 + 62.0393. Let m = g - 62. Let x = -0.1 - -0.2. Which is the closest to 0.4? (a) 2/13 (b) x (c) m a Let d = -0.125 + -0.175. Let j be (-1)/(0 - (-1 - -2)). Which is the nearest to -4? (a) j (b) -4 (c) d b Let v = -2982 - -2958. Which is the nearest to 0.03? (a) v (b) -1/10 (c) -0.2 (d) 0 d Let t = 8 - 8.25. Let f = -0.45 - t. Suppose 5*q - 2*q - 9 = 0. What is the closest to 0.2 in q, f, -5? f Let u be (-60)/(-10) - (-58)/(-6) - -3. Which is the closest to 1? (a) -2/7 (b) 6/13 (c) u b Let o = -143/5 + 29. Let h(l) = -6 + l + 6 + 5. Let z be h(-3). What is the closest to o in 2/3, 5, z? 2/3 Let f = 13/43 - 233/344. Which is the nearest to 3? (a) f (b) -3/7 (c) -2/7 c Let m be (-5 + 0)/(-5) - (-3 + 5 + -4). Suppose j + 15 = 4*o - 2*j, 3*j = -4*o - 15. Which is the nearest to 0? (a) 0.06 (b) m (c) o c Suppose 20 = 4*n + o, -7*o = -4*n - 4*o + 4. What is the nearest to -2/3 in n, 2, -1, 2/7? -1 Let b = 181 + -181. What is the nearest to -2/5 in 2, b, -0.007? -0.007 Let g = 370 - 2588/7. Let t = -0.15 - -0.05. Which is the nearest to t? (a) 0.2 (b) g (c) 5 a Let o = -199.9 - -185. Let p = -13 - o. Let q = 4.9 - p. What is the nearest to -0.2 in q, 2, 4? 2 Let a = -0.3498 - 0.0502. Let k = -2.8 + 3. What is the closest to 1 in k, a, 0.09? k Let l be (((-36)/(-30))/3)/((-12)/(-5)). Which is the closest to -1? (a) 1 (b) l (c) -0.3 (d) -2 c Let z = 5 + -7. Suppose 3*t + 58 - 55 = 0. Which is the closest to 0? (a) -4 (b) z (c) t c Let r be ((-7)/(-56))/((-1)/(-6)). Let s = -2 + 1.6. What is the closest to 1 in s, -0.3, r? r Let f = 45 - 44.7. What is the closest to -0.6 in 2/3, f, -4/5? -4/5 Let x be (-11 + 13)/(1 + 1)*-4. Let z be -3 + (x - -5 - 2). Which is the nearest to 3? (a) -0.5 (b) z (c) 2/7 c Let c = -23 - -26.6. Let v = c + -0.6. Let u be ((-60)/(-80))/(9/(-8)). What is the nearest to u in -3, -2, v? -2 Let o be (3 + (-119)/42)*(-3)/(-2). What is the closest to -2 in -1, o, 0.01? -1 Let a = -2059 - -2057. What is the nearest to -2/5 in 5, -2/7, 3/8, a? -2/7 Let q = 7 + -6.6. Let d = q - -1.6. Suppose -3*f + 1 = 1. What is the closest to d in 2, 0.5, f? 2 Suppose -4*v - 7 = -5*o - 2, -5*o - 3*v = -5. Let g be o/((-4)/12*-9). Which is the nearest to 1? (a) 0.4 (b) g (c) -1 a Let s = 22 + -17. Let p = 8.16 - 0.16. Let j = p + -9. Which is the nearest to j? (a) -1/3 (b) s (c) -5 a Let n = -101 + 397/4. What is the nearest to -0.1 in 0.1, n, -1? 0.1 Let p(f) = -3*f**2 + 27*f - 28. Let j be p(8). Which is the closest to -0.2? (a) j (b) -3/8 (c) -13 b Let t(w) = w**2 - 8*w + 20. Let s be t(4). Let l be (s/24)/(1/(-3 - -12)). Let y = -127/3 + 42. Which is the nearest to -1/3? (a) l (b) y (c) 1 b Let w be (-2)/(-8 + 0 + -1). Let t = 12.54 + -12.24. Which is the closest to 1? (a) t (b) 0.1 (c) w a Let g = -0.4899 - -0.0899. Let o = 0.36 + 0.04. Let p = 4.89 + 0.11. Which is the closest to -2? (a) o (b) g (c) p b Let i = -0.23 - 0.27. Let f be ((-32)/(-7) + -1 + -3)/2. What is the nearest to 2/7 in f, -0.3, i? f Let t = -0.466 - -0.
{ "pile_set_name": "DM Mathematics" }
be the third derivative of 10/3*d**3 - 1/24*d**4 + 0 + 0*d - d**2. Does 10 divide t(0)? True Let y = 156 - 105. Is 6 a factor of y? False Let s be 1*(2 + (4 - 3)). Suppose -4*w - 244 = -2*p, 2*p - 122 = -s*w + 5*w. Let f = 100 + w. Is 13 a factor of f? True Let h = -191 - -291. Is 13 a factor of h? False Let x be (-86)/(-10) - 2/(-5). Let u be 2/x - 6/27. Suppose -b + 3*b - 42 = u. Is 7 a factor of b? True Let s(o) = -o**3 + 24*o**2 - 43*o + 28. Is 5 a factor of s(22)? True Let y be 34/10 - 16/40. Suppose 0 = 5*p - 4*o - 83, -y*p + 5*o = -0*o - 55. Does 15 divide p? True Let b = 42 + 18. Is b a multiple of 15? True Let t(g) = -g**3 + 8*g**2 - 4*g + 3. Is t(7) a multiple of 4? True Suppose -58*l = -59*l + 144. Is l a multiple of 11? False Let r = 32 + -10. Let o be 22/4*-1*2. Let g = o + r. Does 6 divide g? False Let t be (-3 - -2) + 2 + 0. Let d(a) = a + 1. Let b(x) = 14*x + 7. Let i(m) = b(m) - 6*d(m). Is i(t) a multiple of 7? False Let d be (-4)/(-2)*(-6)/(-4). Let r = d + 0. Suppose 4*n - 22 = r*n. Is n a multiple of 11? True Let z = -38 - -70. Does 16 divide z? True Suppose -2*v + z + 21 = 0, -5*v = 5*z - 56 + 11. Let d = -7 + v. Suppose d*p + 2*p = u + 8, -4*u + 12 = 2*p. Is p even? True Suppose 2*j - 2*s - 52 = 0, 2*j + 0*s + s - 40 = 0. Let o = -4 + j. Is 9 a factor of (13 + -1)*o/12? True Let p(v) = 2*v**3 + 5*v**2 + v - 8. Let r(i) = 3*i**3 + 11*i**2 + 3*i - 17. Let n(y) = 5*p(y) - 3*r(y). Is 14 a factor of n(9)? True Suppose 90 = 2*o + 3*o. Suppose 3*t + t = -5*j + o, 2*j + 2 = 3*t. Is (4/t)/(-1) + 28 a multiple of 13? True Let s = 8 + -8. Suppose 2*a - 5*a = s. Let q(g) = -g**2 + g + 30. Does 15 divide q(a)? True Suppose -2*n + 6 + 4 = 0. Suppose -t + n*x + 4 = 7, -4*t - 31 = -x. Let l = 18 + t. Does 5 divide l? True Let s(z) = 8*z**2 - 2. Let r be s(-2). Suppose -110 = -4*i - r. Does 10 divide i? True Suppose 9 = -5*m + 4*p, -4*m + 1 - 3 = 2*p. Does 15 divide (3/(-6))/(m/60)? True Suppose 4*u - 48 = -z + u, 0 = -5*z + u + 320. Suppose -37 - z = 5*y. Let c = y + 32. Is 10 a factor of c? False Suppose -n - 24 = 3. Let u be (-6)/n - 256/18. Does 20 divide (-4)/u + 626/14? False Suppose 2*s - 2*x - 4 = -x, 0 = -3*s - 4*x + 17. Let i(g) = -g**2 + 7*g - 5. Let k be i(5). Suppose 88 = k*h - s*h. Is 22 a factor of h? True Suppose 0 = 4*t + 99 - 391. Is t a multiple of 13? False Is 35 a factor of ((-5)/(-2) + -1)/(30/5480)? False Is -7*(7/(-42) - (-23)/(-6)) a multiple of 5? False Let h = -6 + 4. Does 9 divide h/(-3) + 93/9? False Suppose 0 = -2*z + 5*h, -4*z - 4*h + 15 = -13. Suppose 0*q - q + 7 = -o, z*q - 3*o - 29 = 0. Is 21 a factor of 4/1*31/q? False Let d(k) = k + 9. Is d(20) a multiple of 3? False Let i(l) = -3*l**3 - 16*l**2 - 9*l - 10. Let m(n) = -n**3 - 5*n**2 - 3*n - 3. Let o(f) = -2*i(f) + 7*m(f). Does 6 divide o(-3)? False Let o(s) = -s**2 + 9*s - 5. Let h be o(6). Suppose -2*q + 39 = -h. Suppose y + 0*l - 2*l - q = 0, -4*y - 3*l + 126 = 0. Is 10 a factor of y? True Let j(k) = -k**2 + 6*k + 25. Is j(7) a multiple of 3? True Suppose 3*w = 3*s + 183, 4*w - 3*s = -0*w + 240. Does 19 divide w? True Suppose r - 10 = 6*r. Let n(b) = 8*b**2 + 2*b + 1. Is n(r) a multiple of 10? False Let y(o) = 13*o - 17. Does 15 divide y(3)? False Suppose -71 - 46 = -3*j. Suppose -3*p + 2*m = 3*m - j, m = 0. Is p a multiple of 13? True Let p = 11 - -36. Suppose 0 = r - 0*r - 3. Suppose -4*z + 2*z = -u + p, 0 = -2*u - r*z + 59. Is u a multiple of 21? False Let y be -1 + -2 + 12 + 1. Let z be -3 + 4 - (7 + 2). Let c = y - z. Does 9 divide c? True Suppose -7*g + 3*g + 516 = 0. Suppose 81 + g = 5*a. Is 21 a factor of a? True Suppose 0*p = -5*n - 3*p + 232, 5*p - 20 = 0. Is n a multiple of 9? False Let h(i) be the second derivative of -1/12*i**4 + 16*i**2 + 0 - 1/6*i**3 + 1/20*i**5 - i. Does 16 divide h(0)? True Let q(i) = 2*i**2 + 3*i - 5. Let u be q(-5). Suppose -49 + 5 = -4*b + 4*m, -4*b - 3*m + u = 0. Is 9 a factor of b? True Let l be (-3)/9 + 79/3. Suppose -6 = 4*k - l. Suppose -13 - 12 = -k*c. Is c a multiple of 5? True Suppose -4*b - 18 = -2*g, -4*b + g - 20 = 1. Let x = -15 - b. Is 6 a factor of x/(-3*1/4)? True Let j = -57 + 212. Does 26 divide j? False Let n = -1 + 5. Suppose 5*s - 40 = z, 4*s + s - 55 = n*z. Let k = 17 - s. Does 4 divide k? False Does 18 divide 1164/24 + 1/(-2)? False Let d(w) = -w**2 + w. Suppose -t - 3*i = 4*t + 2, 5*i = 3*t + 8. Let g(j) = -3*j**3 - 5*j**2 + 2*j. Let x(l) = t*g(l) + 4*d(l). Is 14 a factor of x(2)? False Let f(i) be the second derivative of 5*i**4/6 + i**3/3 + i**2 - 4*i. Suppose -4*q + 7*q - 1 = 5*p, 0 = 2*p + 4*q + 16. Does 17 divide f(p)? False Let c(m) = -6 + 5*m + 0*m + m. Let p(f) = -1. Let q(w) = -c(w) + 6*p(w). Is q(-6) a multiple of 18? True Suppose -t + 10 = -6*t, -3*n = 3*t + 6. Suppose n = 5*m - 120 - 125. Suppose 3*q - 3*l - m = q, -2*l - 118 = -4*q. Is 11 a factor of q? False Let u(a) = -23*a. Let l be u(-1). Let h = -8 + l. Suppose 0 = 3*c - 63 - h. Does 13 divide c? True Let l(j) = -j**2 - 8*j + 5. Does 21 divide l(-4)? True Suppose -60 = 3*b - 0. Let d = b - -46. Let r = 12 + d. Is 19 a factor of r? True Suppose -2*r + 1 = -7. Suppose 2*p + 3*p + 5*a = -20, 0 = -2*p + r*a - 8. Is 3 a factor of 2/(-6)*(p + -14)? True Suppose 0 = 2*s - 387 - 25. Is s a multiple of 34? False Suppose -a - 6 = -4*a. Let u be (-2)/(-4) - (-13)/a. Suppose -u*b + 88 = -3*b. Is 15 a factor of b? False Suppose 3*b - 3*g - 3 = 3, 4*b = 2*g + 6. Suppose 2*m - 4*m - p + 5 = 0, 3*p = 2*m - 25. Suppose 69 = m*i - b. Is 14 a factor of i? True Suppose -11 = -2*y + 21. Let c = y + 1. Let s = c - 6. Is s a multiple of 11? True Let h(c) = -c**3 - 5*c**2 - 3*c - 1. Let n be h(-4). Let y = 46 - n. Does 11 divide y? False Suppose 4*g + 7 = -r + 2*g, -1 = g. Let m(f) = -5*f + 1. Let i(n) = n - 1. Let o(k) = 2*i(k) + m(k). Is o(r) a multiple of 14? True Let v = 2 - -4. Suppose 2*o = -v, 5*o - 30 + 0 = -3*a. Is a a multiple of 15? True Let h(q) = -q - 1. Let f be h(7). Let v = 14 + f. Does 3 divide v? True Let t = 100 - 34. Is t a multiple of 6? True Let x(y) = -44*y**3 - y**2. Let u be x(-1). Let h(p) = -8*p + 8. Let k be h(-2). Let w = u - k. Does 19 divide w? True Let a(d) = 2*d + 3. Suppose -5*n + 20 = -0*n. Is 11 a factor of a(n)? True Suppose -3*b + 8*b - 210 = 0. Is 18 a factor of b? False Is ((-57)/2)/(27/(-36)) a multiple of 19? True Suppose -2*o = -0*o - 8. Let w(a) = 6*a - 12. Is w(o) a multiple of 12? True Let s(j) = -29*j - 2. Is 21 a factor of s(-1)? False Let q(g) = -g**2 + 17*g + 15. Is q(17) a multiple of 5? True Let o(b) = 3 - 28*b**2 - 1 + b - 3. Let h be o(1). Let t = h - -52. Is 12 a factor of t? True Suppose 4*o - 169 + 13 = 0. Suppose -b - z + 15 = 0, o - 13 = 2*b + 4*z. Is 16 a factor of b? False Let r be (4 + -3)*(2 - -6). Let b = 15 - r. Suppose 39 + b = 2*q. Does 10 divide q? False Let x be 6/(-5)*(-100)/30. Let t(p) = -1 + p - 1 + 0*p. Does 2 divide t(x)? True Suppose -3*t = -2*d + 75, 0*d - 4*d = -3*t - 147. Is 12 a factor of d? True Suppose -5*a + 14 = 3*x, 5*x - 16 = -0*a - a. Suppose -x*s + 6*s - 76 = 2*f, -3*f + 114 = 5*s. Is s a multiple of 9? False Let u(w) = -w**2 - 11*w + 30. Let i be u(-13). Suppose i*o = t - 5 + 337, 3*t = -o + 96. Is o a multiple of 12? True Suppose 3*p - 2*f = -6, 0*p + 2*p + 12 = 4*f. Suppose p*i = -i + 19. Does 19 divide i? True Let v(z) = 47*z**2 - z. Let c be v(1). Suppose -4*q - 5*o = -3*o - c, -4*o - 7 = -3*q. Does 9 divide q? True Suppose -3*m + 14 = 4*k, 5*k - 5 = -m + 7. Let i(a) = -a + 3. Let j be i(0). Does 3 divide 2/(j/(m + 4))? False Let i(t) = t - 4. Let d(f) = 8*f**2 - 1. Let c be d(1). Does 3 divide i(c)? True Suppose 289 = 3*v - 17. Is v a multiple of 21? False Let q = 41 - 38. Is q even? False Does 7 divide -1 + (3 - 2) + 28? True Suppose -3*z + 0*i - 3 = 3*i, -2*z = -5*i - 33. Let b = z - 4. Suppose b*g - 4*g = -64. Is g a multiple of 8? True Suppose 2*u - y = -2*u - 193, 58 = -u - 3*y. Suppose -j - 12 + 89 = 0. Let r = u + j. Is r a multiple of 14? True Suppose 4*m = -2*t + 94, -4*m - t = -107 + 18. Is 11 a factor of m? False Let w = 15 + -1. Does 12 divide w? False Suppose -2*i + 2*o + 154 = i, -3*o + 144 = 3*i. Does 12 divide i? False Let x(l) = -l**3 + 4*l**2 - 2*l. Let z be x(2). Is (z - 2)/(2/31) a multiple of 7? False Suppose -3*l + d + 38 = 0, 2
{ "pile_set_name": "DM Mathematics" }
1003*y**3 - y - 2*y. What is f*b(p) - l(p)? -4*p**3 Let y(k) = -7*k - 3. Let r(m) = m**2 - 6*m - 4. Determine -2*r(x) + 3*y(x). -2*x**2 - 9*x - 1 Let q(y) = 2*y**3 + 2*y**2 + y - 4. Let p(b) = -5*b**3 - 6*b**2 - 3*b + 13. Calculate -2*p(m) - 7*q(m). -4*m**3 - 2*m**2 - m + 2 Let w(x) = 4 + 1 + 11 - 2*x - 1. Let i(j) = 5*j - 44. Let r(n) = -4*i(n) - 11*w(n). Let h(u) = 13 - 4*u + u - 19 + 2*u. What is 7*h(k) + 4*r(k)? k + 2 Let t be (25/5)/(6 - 7). Let m(v) = v - 1. Let g(x) = -2*x + 2. What is t*m(y) - 3*g(y)? y - 1 Let q(h) = -2*h**2. Let g = -3 + -3. Suppose 3*z = -5*x + z + 52, 4*z = -3*x + 34. Let s(l) be the first derivative of -l**3/3 + 16. Give g*q(v) + x*s(v). 2*v**2 Let m(o) = 1. Let t(l) = 7*l + 1. Let c(v) = 4*v. Let p(r) = 5*c(r) - 3*t(r). Let x be (5 + (-77)/14)/(2/(-4)). Determine x*p(h) + m(h). -h - 2 Let s(w) = w**3 - 3*w**2 + 6*w + 587. Let d(g) = 2*g**3 - 7*g**2 + 14*g + 1173. Calculate 3*d(z) - 7*s(z). -z**3 - 590 Let q(w) = 11*w**2 - 8*w + 4. Let n(r) = -4*r**2 + 3*r - 1. Determine 8*n(p) + 3*q(p). p**2 + 4 Let o(b) = -b**3 + 2*b**2 + 41*b + 2. Let w(y) = -6*y**3 + 11*y**2 + 205*y + 11. Determine -11*o(p) + 2*w(p). -p**3 - 41*p Let t(v) = 7*v**2 + 2*v - 1. Let q(p) = 1. What is 3*q(a) + t(a)? 7*a**2 + 2*a + 2 Suppose 4*p + 8 = 8*p. Suppose -p*u = 1 - 5. Suppose b - u = -0. Let a(t) = -5*t**2 - 2*t - 3. Let x(c) = 4*c**2 + c + 2. Give b*a(r) + 3*x(r). 2*r**2 - r Let n be (4 + -2)*(-10)/(-20) + -7. Let b(g) = 7*g - 1. Suppose 3*x + 1 - 16 = 0. Suppose t - x = w + 5*t, 0 = -5*t - 5. Let u(a) = -a. Give n*u(h) + w*b(h). -h + 1 Let h(g) = -2*g + 2*g + 2*g + 2. Let u(m) = -m. Suppose 3*d - 275 = -2*d. Let q = 56 - d. Calculate q*h(w) + u(w). w + 2 Let s(n) = 5*n + 3*n - n - 5*n**2 + n**2 - 3*n - 9*n**3. Let y(v) = -v**2 + v. What is -s(k) + 4*y(k)? 9*k**3 Let f(o) = 4*o**2 - 8*o - 8. Let v(x) = -x**2 - 3*x - 1. Let g be v(-3). Let a(i) = i + 1. Let j be (-1)/4 - (-992)/(-128). What is g*f(t) + j*a(t)? -4*t**2 Let m(n) = n - 1. Let y(l) = -16*l + 14. Let x(i) = -22*i + 17. Let c(g) = -3*x(g) + 4*y(g). Calculate -c(w) - 5*m(w). -7*w Let u(m) = -19*m + 8. Let w(i) = -5*i + 2. Let a be 1*-4*(-576)/(-256). Determine a*w(b) + 2*u(b). 7*b - 2 Let h(k) = 11*k - 111. Let o(f) = 4*f. Determine -2*h(w) + 6*o(w). 2*w + 222 Let t(i) = 4*i - 3. Let l(s) = 9*s - 7. Let r be (-50)/(-35) + 12/21. Let b = -42 + 37. What is b*t(h) + r*l(h)? -2*h + 1 Let n be (-1 - 0)*(-2 - -1). Let g(r) = r**3 - 5*r. Let o(f) = -8*f. Let d(p) = -3*p. Let q(k) = -11*d(k) + 4*o(k). What is n*g(j) + 2*q(j)? j**3 - 3*j Let g(h) = -2*h**3 - 4. Let n(u) = 2*u**3 - u**2 - u + 5. Let a = 9 + -8. Let x(v) = -v**3 - v**2 - v. Let t(b) = a*x(b) - n(b). Determine 5*g(f) - 4*t(f). 2*f**3 Suppose 7*r = 84 + 28. Let o(g) = -12*g**3 + 16*g**2 - 16*g. Let t(f) = 4*f**3 - 5*f**2 + 5*f. Calculate r*t(u) + 5*o(u). 4*u**3 Let g(p) = -15*p. Let t(i) = -16*i - 205. Let d be t(-19). Let o(y) = 374*y. What is d*g(b) + 4*o(b)? 11*b Let x(k) = k - 1. Let w(m) = -2*m - 65. Let h be w(-33). Let z(s) = -39*s - 3*s**3 - 55*s + 11 - 29 + 112*s. Determine h*z(f) - 18*x(f). -3*f**3 Suppose 4*r + 8 = -0, 5*s - r = -18. Let m(k) = -11*k - 7. Let n be ((-3)/36*-4)/(2/12). Suppose 6 = n*c - 8. Let p(o) = -6*o - 4. Calculate c*p(b) + s*m(b). 2*b Let t(k) = -k - 3. Let s(p) = 30*p + 8. Calculate -s(z) - 3*t(z). -27*z + 1 Let p(g) = 2*g**2 + 2*g - 2. Let b(m) be the second derivative of -m**3/6 + m**2/2 - 2*m + 198. Give -12*b(q) - 6*p(q). -12*q**2 Let v = -8 + 12. Suppose 0 = -4*i - v - 0. Let j(k) = k**2 - k. Let z(m) = -m**3 + 5*m**2 - 4*m + 2. What is i*z(l) + 5*j(l)? l**3 - l - 2 Let o(b) = 5. Let y(w) be the second derivative of -w**4/12 - 3*w**2 + 52*w + 1. Determine -3*o(a) - 2*y(a). 2*a**2 - 3 Let c(m) = 3*m**2 + 3. Let u(b) = 3*b**2 + 2. Let s = -32 - -34. Suppose -s*y + 39 - 45 = 0. What is y*u(z) + 2*c(z)? -3*z**2 Let g(t) = -2*t + 2*t**3 + 1 + 0 + 0 + 5*t**2. Let s(w) = -9*w - 23*w + 3 + 25*w + 6*w**3 + 16*w**2. Calculate -7*g(a) + 2*s(a). -2*a**3 - 3*a**2 - 1 Let o(a) = 12*a - 13. Let u(g) = -13*g + 25. Calculate 4*o(s) + 3*u(s). 9*s + 23 Let y(a) = -a + 6. Let d(w) = -2*w + 19. Let j(s) = -2. Let x(g) = -d(g) - 3*j(g). Calculate -6*x(u) - 13*y(u). u Let p(t) be the third derivative of 13*t**4/24 - 2*t**3/3 + t**2 - 113. Let f(q) = -27*q + 7. Determine -3*f(m) - 5*p(m). 16*m - 1 Let y(a) = -a - 6. Let w = 54 + -59. Let d be -2 - -1 - (-15)/w. Let m(l) = l + 7. Give d*m(v) - 5*y(v). v + 2 Let c(a) = -63*a + 4. Let h(g) = -58*g + 3. Give -2*c(x) + 3*h(x). -48*x + 1 Let t(w) = -276*w**2 + 23. Let b(l) = 46*l**2 - 4. Give -23*b(q) - 4*t(q). 46*q**2 Let v(w) = 26*w**3 - 5*w**2 + 3*w - 5. Let d(q) = 12*q**3 - 3*q**2 + 2*q - 3. Determine 5*d(n) - 3*v(n). -18*n**3 + n Let m(g) = 4*g**3 + g**2 + 3*g. Let i(h) = 4*h**3 + h**2 + 3*h. Give 7*i(a) - 6*m(a). 4*a**3 + a**2 + 3*a Let k(v) = 255*v - 458*v + 210*v - 5. Let n(l) = l**2 + l + 2. Let f be n(0). Let h = f + 3. Let d(o) = 10*o - 7. Determine h*d(g) - 7*k(g). g Let f(k) = -36*k**2 - 3. Let n(j) = 143*j**2 + 11. Calculate 22*f(a) + 6*n(a). 66*a**2 Let w(s) = 6*s**3 + 2*s**2 - 2*s - 2. Suppose 6*y - 129 = -37*y. Let u(h) = 7*h**3 + 3*h**2 - 3*h - 3. Give y*w(i) - 2*u(i). 4*i**3 Let q(x) = -13*x**3 + 11*x**2 + 11*x. Let z(r) = r**2 + 5*r**2 + 0*r + 0*r + 6*r - 7*r**3. Calculate -6*q(f) + 11*z(f). f**3 Let m(i) = i**3 + 6*i**2 - 10*i + 9. Let v(k) = 3*k**3 + 13*k**2 - 21*k + 20. Calculate 9*m(r) - 4*v(r). -3*r**3 + 2*r**2 - 6*r + 1 Let a = -3 + 5. Let y(f) = 9*f**3 + 5*f**2 + 9*f + 5. Let p = 1616 - 1621. Let h(i) = 4*i**3 + 2*i**2 + 4*i + 2. What is a*y(d) + p*h(d)? -2*d**3 - 2*d Let m(x) = -175*x**2 - 16*x + 7. Let f(y) = 88*y**2 + 7*y - 3. What is -9*f(h) - 4*m(h)? -92*h**2 + h - 1 Let v(a) = -6*a**2 - a. Let b(l) = -l**2 + l. Calculate -14*b(w) + 2*v(w). 2*w**2 - 16*w Let o(t) = -4*t**2 - 5*t. Let r(y) = y**2 + 9*y + 3. Let u be r(-9). Let b(q) = 20*q**2 + 26*q. What is u*b(h) + 16*o(h)? -4*h**2 - 2*h Let z(b) = 100893*b**3 - 995*b**2 + 995. Let r(n) = -203*n**3 + 2*n**2 - 2. Calculate -1990*r(y) - 4*z(y). 398*y**3 Let k(j) = 164*j**2 + 6 - 328*j**2 - 6*j - 15*j**3 + 158*j**2. Let d(y) = -y**3 - y**2 - y + 1. Calculate -6*d(b) + k(b). -9*b**3 Let j(u) = 3*u**2 + 4*u + 4. Let x(p) = -24*p**2 - 33*p - 33. Suppose 4*t - 34 + 166 = 0. Give t*j(g) - 4*x(g). -3*g**2 Let f = -29 + 35. Let d(q) = -q**3 + 6*q**2 - q + 12. Let y be d(f). Let z(o) = 5*o**2 + 2*o - 6. Let a(v) = -11*v**2 - 4*v + 13. Give y*a(r) + 13*z(r). -r**2 + 2*r Let n(w) = 109*w**2 - 4*w - 4. Let h(m) = -109*m**2 + 5*m + 5. Determine 4*h(p) + 5*n(p). 109*p**2 Let x(g) = -7*g**3 - 9*g - 5. Let k(t) = -t**3 + t**2. Let v(a) = -5*k(a) + x(a). Let d(m) = m**3 + 3 + 0 + 9*m + 3*m**2 - m - 3*m. What is 5*d(q) + 3*v(q)? -q**3 - 2*q Let c(m) = 4*m - 1. Let d be ((-18)/8)/((-3)/(-16)). Let n be d/28 - (-184)/(-28). Let q(z) = -z. Give n*q(b) - 2*c(b). -b + 2 Let b(q) = -10*q - 6. Suppose -2*p + 10 = -3*r + 4*r, 2*r = -5*p + 27. Suppose 0*s - 7*s + p = 0. Let a(x) = -x - 1. Calculate s*b(f) - 6*a(f). -4*f Let r(q) = q**3 - 5*q + 1. Let i(d) = -3*d**3 + 11*d - 3. Let j be (-350)/(-14) + 10/(-2). Suppose 5*m = -10 + j. Let h = -3 + 8. Determine h*r(g) + m*i(g). -g**3 - 3*g - 1 Let u(o) be the third derivative of o**4/24 - o**3/6 - 8*o**2 + 3. Suppose -2*n + 1 = -3*n. Let j(d) = 15 + d - 15. Give n*u(m) - j(m). -2*m + 1 Let u be -6 - (15/3 - 10). Let x(w) = 2*w**2 + w + 5. Suppose 3*r - 12 = -r - v, -r + 3 = 2*v. Let g(l) = l**2 + 1. Give r*g(i) + u*x(i). i**2 - i - 2 Let f(a) = 10*a**3 - 5*a**2 + 39*a - 7. Let q(z) = 7*z**3 - 4*z**2 + 27*z - 5. Calculate -5*f(t) + 7*q(t). -t**3 - 3*t**2 - 6*t Let n(s) = s - 2. Let j(a) be the first derivative of -a**4/24 - 3*a**3 - 10. Let k(c) be the third derivative of j(c). Give 5*k(z) - 2*n(z). -2*z - 1 Let d(s) = -2. Let f(l) = l - 1. Give -d(a) + 4*f(a). 4*a - 2 Let h(k) = 2*k + 8. Let y(t) be the third derivative of -t**4/24 + t**3/6 - 474*t**2. Determine h(j) - 8*y(j). 10*j Let z(y) = -11556*y + 0 - 4 + 11557*y. Let o(x) = -1. Let c be 4/(-3)*(-1 + 4). Give c*o(h) + z(h). h Suppose 4*i + 2*i = 18. Let q(n) = 130 - 131 + 4*n**3 - i*n**3 + 0*n**3. Let c(g) = -5*g**3 + 6. What is c(x) + 6*q(x)? x**3 Let d(s) = 5*s**2 - 85. Let t(g) = 3*g**2 - 42. Determine -
{ "pile_set_name": "DM Mathematics" }
*2 - 14971*n**2 + 4*n + 7 + n. Let r(a) = 14*a**2 - 8*a - 11. Determine -8*m(z) - 5*r(z). 2*z**2 - 1 Let w(x) = x**3 + 3*x**2 - 7. Let d(h) = 2*h**3 + 10*h**2 - 20. Calculate 3*d(p) - 10*w(p). -4*p**3 + 10 Let r(q) = q**2 - 4. Let d be r(0). Let y(j) be the second derivative of 5*j**3/2 - 21*j**2/2 - 3*j + 64. Let l(z) = 3*z - 4. Give d*y(x) + 21*l(x). 3*x Let n(r) = r**2 + 3*r - 3. Let x(u) = -u - 2. What is n(k) - 2*x(k)? k**2 + 5*k + 1 Let n(c) = c. Suppose 2*p + k + 15 = 0, 15 = -3*p - 2*p + 5*k. Let u(d) = -3*d**2 + 4*d + 2. Determine p*n(i) + u(i). -3*i**2 - 2*i + 2 Let n(z) = -17*z**3 + z**2 - 2*z - 4. Let s(k) = -50*k**3 + 4*k**2 - 7*k - 14. What is -7*n(h) + 2*s(h)? 19*h**3 + h**2 Let m(y) = -21*y**3 + y**2 - 4*y + 4. Let v(b) = -b**3 - b + 1. Give m(a) - 4*v(a). -17*a**3 + a**2 Let f(n) = n + 1. Let s be 1*3 + (-1 - -1). Let u(i) = -i**3 - 4*i**2 + 4*i - 1. Let v be u(-5). Let o(c) = v + 9 - 10. Calculate s*f(x) - o(x). 3*x Let q(y) = -77*y + 3. Let l(s) = 36*s - 2. Give 5*l(w) + 3*q(w). -51*w - 1 Let u(h) = 14*h**2 - 9*h + 4. Let f(i) = 69*i**2 - 50*i + 21. What is -2*f(q) + 11*u(q)? 16*q**2 + q + 2 Let v(g) be the third derivative of g**5/60 - 119*g**2 + 2*g. Let r(x) = -x**2 - 2*x + 2. What is -r(k) - 3*v(k)? -2*k**2 + 2*k - 2 Let y(h) = -h**2 + 2*h + 2. Let t(i) = 4*i + 2*i**2 - 4 - 2*i + 2*i - 9*i. Determine -4*t(d) - 9*y(d). d**2 + 2*d - 2 Let b(c) = c**3 - 3*c + 3. Let u(g) = 2*g**3 - 7*g + 7. Suppose -3*p - 3*n = 15, -7*p + 2*p = -n + 37. What is p*b(j) + 3*u(j)? -j**3 Let d(z) = 5*z - 2. Suppose 5 = 2*t + 3. Let y(a) = t - 4*a + 0 - 4*a + 4*a. Let b = -35 - -39. Determine b*y(n) + 3*d(n). -n - 2 Let y(k) = 7*k - 5. Let u = 15 - 32. Let b = u + 21. Let n(l) = -b - 6 - 6*l + 14. Determine -6*n(z) - 5*y(z). z + 1 Let r(j) = 2*j**3 - j**2. Let d be r(-1). Let g(v) be the second derivative of -v**4/3 + v**2 + 1292*v. Let a(i) = -5*i**2 + 2. What is d*a(l) + 4*g(l)? -l**2 + 2 Let r(p) = p**2 - p + 2. Let a(w) = -8*w**2 + 7*w - 59. Calculate -a(s) - 6*r(s). 2*s**2 - s + 47 Let a = -6 + 5. Suppose 13*j - 7 = 6. Let t(g) = -2*g**2 + g - 1. Let r(i) = -i**2 - i - 1. Determine a*r(z) + j*t(z). -z**2 + 2*z Let l(o) = 1. Let b(u) = 6*u**3 + 1. Suppose -43 = 62*s + 19. Determine s*l(k) + b(k). 6*k**3 Let o(c) = 1823535*c + 6616. Let y(a) = -827*a - 3. What is 3*o(u) + 6616*y(u)? -827*u Let r(k) = -k + 1. Let p(a) = -14449 - 10*a + 28*a + 14435. Determine 2*p(u) + 28*r(u). 8*u Let d(h) = 9*h**3 - 3*h**2 + 5. Let c(i) = 2*i**2 + 1. Give 5*c(s) - d(s). -9*s**3 + 13*s**2 Let y(c) = 2*c - 2. Suppose k + 1 + 4 = 0, 5*h = 5*k + 30. Let q be (h - 46/6)*-3. Suppose 0 = 4*z - 0 + q. Let n(a) = -2*a + 2. What is z*n(b) - 6*y(b)? -2*b + 2 Let o(h) be the first derivative of -1/2*h**2 - 1 - h. Let t be (-12)/24*(-4)/(-2). Let f(s) = -s. Calculate t*f(a) + 2*o(a). -a - 2 Let j(k) = -4*k**2 - 168*k. Let c(n) = -n**2. Determine -6*c(r) + 2*j(r). -2*r**2 - 336*r Let n(u) = 2*u**3 + u**2 - 2*u - 1. Let c(y) = 4*y**3 + 2*y**2 - 5*y - 2. Give 2*c(r) - 5*n(r). -2*r**3 - r**2 + 1 Let z = 68 + -103. Let b(r) = 11*r**3 + 4*r - 4. Let j(g) = -98*g**3 - 35*g + 35. What is z*b(t) - 4*j(t)? 7*t**3 Let j(f) = -7*f**2 - 72*f - 6. Let s(c) = c**2 + c + 1. Calculate j(o) + 6*s(o). -o**2 - 66*o Let o(v) = 13*v**3 - v - 4. Let p(j) = 2*j**3 - 1. Give -o(w) + 4*p(w). -5*w**3 + w Let h(n) = -125*n**2 - 7*n - 7. Let p(i) = -63*i**2 - 3*i - 3. Calculate 3*h(x) - 7*p(x). 66*x**2 Let u(a) = -21*a**2 - 11*a - 3. Let p(z) = -2*z**2 + 1. Let m(n) = -21*p(n) - 7*u(n). Let v(g) = -5*g**2 - 2*g. Calculate -2*m(o) - 77*v(o). 7*o**2 Let d(i) = -i. Let l(h) = 5*h + 15. Let r(c) = 2*c + 7. Let n(t) = 6*l(t) - 13*r(t). Let b be 38/14 + 4/14. Suppose -b*y + 2 = -y. Give y*n(g) + 5*d(g). -g - 1 Let y(k) = 5 - 92*k**2 - 2 - 6 + 1 + 84*k**2 + 12*k. Let x(d) = 3*d**2 - 5*d + 1. Calculate -12*x(o) - 5*y(o). 4*o**2 - 2 Let g(w) = 37*w**2 - 8*w + 4. Let k(b) = 72*b**2 - 19*b + 9. What is -5*g(m) + 2*k(m)? -41*m**2 + 2*m - 2 Let s(w) = -w**3 + 3*w**2 - 3*w + 1. Let b = 0 - 2. Let o be (8 + b)*(-2)/(-3). Let v(z) = -z**2 - 4*z - 3*z**2 + z**3 - z - 1 + 9*z. Calculate o*s(c) + 3*v(c). -c**3 + 1 Let j(x) = -2*x**2 + 4*x + 1. Let v(g) = -4*g**2 + 2. Let z be v(-1). Let y(n) = n**2 - 3*n - 1. Calculate z*j(d) - 3*y(d). d**2 + d + 1 Let c(y) be the third derivative of y**4/24 + y**3/2 - 7*y**2. Let t(s) = s + 7. Let l(b) = 6. Let p(k) = 2*l(k) - 3*t(k). Calculate -11*c(j) - 4*p(j). j + 3 Suppose 467*p + 10664 = -7549. Suppose 0*d = d - 6. Let h(x) = x**2 - 2. Let a(r) = 6*r**2 - 13. Calculate d*a(f) + p*h(f). -3*f**2 Let l be 20/(-5)*4 + 6. Let w(i) = -i + 1. Let b(h) = -4*h + 5. Determine l*w(p) + 2*b(p). 2*p Let w(g) = -g + 2. Let d(x) be the first derivative of 10 + x - 1/2*x**2. Give -4*d(m) + w(m). 3*m - 2 Let t(z) = -15*z**2 - 7*z. Let l(c) = 408 + 8*c**2 - 408 + 5*c + c**2 + c**2. Let b = -6 + 1. Calculate b*t(u) - 7*l(u). 5*u**2 Let d(s) = 48*s + 128. Let p(q) = -q - 2. Determine 5*d(j) + 320*p(j). -80*j Let t(a) = 2*a**3 - 4*a**2 + 4*a. Let b = 732 + -733. Let n(x) = -x**2 + x. Determine b*t(r) + 3*n(r). -2*r**3 + r**2 - r Let y(q) = -5. Suppose 0 = -16*p - 193 + 97. Let v(r) = r - 6. Give p*v(w) + 7*y(w). -6*w + 1 Let z(n) be the second derivative of n**3/6 + n**2/2 + 79*n. Let q(c) = 24*c + 22. Let l(u) = -8*u - 7. Let k(o) = -7*l(o) - 2*q(o). What is -k(g) + 4*z(g)? -4*g - 1 Let t(p) = -5*p - 14. Let k be t(-2). Let w(l) = 6*l**2 + 5*l + 2. Let x(f) = -17*f**2 - 14*f - 6. Calculate k*x(m) - 11*w(m). 2*m**2 + m + 2 Let c(j) = 35*j**3 + 7*j**2 - 7*j - 10. Let p(g) = 35*g**3 + 6*g**2 - 6*g - 8. What is -6*c(l) + 7*p(l)? 35*l**3 + 4 Let s(i) = 8*i + 12. Let c(v) = 7*v + 11. Let x(b) = 5*c(b) - 6*s(b). Let q(w) = 3*w + 4. Suppose -10*p - 297 = 23*p. Determine p*q(u) - 2*x(u). -u - 2 Let j(c) = 3*c**2 + 4. Let y = 6 + 3. Let t(p) = -7*p**2 + 5*p**2 + 9*p**2 + y. What is -5*j(k) + 2*t(k)? -k**2 - 2 Let r(h) = 3*h + 5. Let x(c) = 2*c + 6. Suppose 0 = 12*z + 15 + 33. Give z*r(j) + 3*x(j). -6*j - 2 Let p(c) = -13*c**3 - 10*c**2 + 56*c + 14. Let m(q) = -4*q**3 - 3*q**2 + 19*q + 4. Determine -7*m(b) + 2*p(b). 2*b**3 + b**2 - 21*b Let n(x) = 21*x. Suppose -5*d + 7*d - 26 = -f, 0 = 2*f - 8. Let k(t) = 4*t. Let j be (12/8)/(6/(-8)). Determine d*k(r) + j*n(r). 2*r Let n(f) = 4*f**2 - 3*f - 1. Let x(y) = y**2 - 7*y + 7. Let u be x(6). Let m(g) = -g**2 + g + 1. What is u*n(j) + 3*m(j)? j**2 + 2 Let d(n) = -204*n - 1740. Let l(p) = -19*p - 158. What is 3*d(z) - 32*l(z)? -4*z - 164 Suppose -6*l + 2*l = -8. Let a(v) = v**3 - 4*v**2 - 3*v - 2. Let k(m) = 95 + 2*m - 81 - 13 + 2*m**2 + m**2. What is l*a(z) + 3*k(z)? 2*z**3 + z**2 - 1 Let u(p) = 2*p**2 - p + 12. Let r(f) = -5*f**2 + 3*f - 26. Determine 3*r(m) + 7*u(m). -m**2 + 2*m + 6 Let s(y) = 12*y**2 + 6*y - 1. Let u(j) = 23*j**2 + 11*j. Give -11*s(i) + 6*u(i). 6*i**2 + 11 Let a(n) = n + 10. Let m(h) = h - 2. Determine a(l) + 6*m(l). 7*l - 2 Let g(y) = 6*y**3 - 4*y**2 - 4*y + 3. Let l = 915 - 914. Let w(b) = -b**3 + b**2 + b. Determine l*g(f) + 4*w(f). 2*f**3 + 3 Suppose -w = w - 8, 2*w - 5 = -3*a. Let z(m) be the first derivative of 1/3*m**3 + 0*m**2 - 4 + 0*m. Let j(v) = -4*v**2 - 1. Determine a*j(q) - 2*z(q). 2*q**2 + 1 Suppose -21*m - 11 = -10*m. Let j be 52/13 - 5*m. Let x(b) = -2*b**2 + 6*b + 4. Let z(l) = 4*l**2 - 13*l - 9. What is j*x(i) + 4*z(i)? -2*i**2 + 2*i Let a(y) = 2*y - 1. Let l(q) = 7*q - 9. Let h(x) = -3*a(x) + l(x). Let v(u) = 7*u - 14. Let r(o) = -4*o + 7. Let i(t) = -5*r(t) - 3*v(t). Give -4*h(j) - 3*i(j). -j + 3 Let k(a) = 1465*a**2 + 2*a - 2. Let b(y) = 17575*y**2 + 25*y - 25. Calculate -2*b(f) + 25*k(f). 1475*f**2 Let t(x) = -3*x**2 - 51*x. Let c(w) = w**2. Calculate 6*c(l) + t(l). 3*l**2 - 51*l Let s(w) = -11*w**3 - 13*w**2 - 8. Let n(y) = -12*y**3 - 10*y**2 - 7. What is 5*n(r) - 4*s(r)? -16*r**3 + 2*r**2 - 3 Let o(x) = x**3 + x**2 + 3*x + 3. Let i be o(-2). Let j(r) = 7*r - 1. Let d be ((-10)/(-12) - 7/21)*(7 - 15). Let l(u) = -13*u + 2. What is d*l(c) + i*j(c)? 3*c - 1 Let j(v) = -v**3 + 3*v**2 + v + 1. Let y(d) = -4*d**3 - 4*d**2 + 2*d + 4. Let n(l) = -5*l**3 - 5*l**2 + 3*l + 5. Let a(t) = 3*n(t) - 4*y(t). Give -a(x) + j(x). -2*x**3 + 2*x**2 + 2 Let v(r) = 2*r**3 + 14*r**2 + 10*r + 39. Let c be v(-6). Let q(l) = 2*l. Let d(p) = p*
{ "pile_set_name": "DM Mathematics" }
ler: 32621302 or 32621301? 32621301 Are 26702641 and 26702639 unequal? True Is 0 < 83/149777? True Is -19707 < -797? True Is 8292 at most as big as 605268/73? False Which is greater: 1 or -14/3345431? 1 Which is greater: -102934/651 or -157? -157 Which is smaller: -1 or 2/1097488535? -1 Which is bigger: 28677/57577 or -1? 28677/57577 Do -4879912 and -4879953 have the same value? False Is 0 < 6535/4638? True Is -1 at most as big as -339377813? False Is -3563150 smaller than -3563149? True Are 38165874 and 38165872 equal? False Is 5648857 at least 5648856? True Is 3/9549653 not equal to 0? True Which is smaller: 837/74534 or -1? -1 Which is bigger: -30530/2417 or -14? -30530/2417 Is 466614616 at least 466614615? True Are 1 and -4/24652585 nonequal? True Is -3373604 less than or equal to -3373603? True Does 3 = 13747/5134? False Is -24 equal to -23290/979? False Is 44876 at most 40505? False Which is greater: 20628819 or 123772915/6? 123772915/6 Are 0.77 and -1/1178064 nonequal? True Is -11522 less than or equal to -1/440? True Do 8114123 and 8114124 have the same value? False Is 1 at most 153/229660? False Is 3 at least as big as -29.555224? True Is 13.2 > 387092? False Which is bigger: 482073/52 or 9271? 9271 Which is smaller: -14224488 or -14224490? -14224490 Is -1 > 55/551629? False Is 15167428 less than -0.1? False Which is greater: -267906/751 or -357? -267906/751 Which is bigger: 1830 or 6254? 6254 Which is greater: -1964 or 81988? 81988 Is -42575 greater than -42586? True Is 7306464 > 7306465? False Which is greater: 0 or -857/17905? 0 Which is greater: 367184379/8 or 45898047? 367184379/8 Which is smaller: 22 or 42385104? 22 Is 0 at least as big as 589523418? False Are -71277211 and -2/7 non-equal? True Which is bigger: 21133037 or 21133039? 21133039 Which is smaller: -484480 or -484475? -484480 Which is bigger: -112508520 or -1? -1 Is 1727412 <= 1727370? False Which is bigger: -18004124 or -18004125? -18004124 Is -0.072 greater than or equal to 1962? False Which is smaller: -939/2 or -46178/27? -46178/27 Which is smaller: 0.01301 or 173465? 0.01301 Which is smaller: 1 or 730/2769? 730/2769 Is -8/7 not equal to 0.073471? True Is -919 less than -7089? False Do 170/606431 and 1 have different values? True Are -5140130 and -5139978 nonequal? True Which is greater: -11661572 or 2? 2 Is -5515023 bigger than -5515034? True Is 3.86967586 at least as big as 0.1? True Is -22769039 equal to -22769039? True Are -73894073 and -73894061 non-equal? True Is -10958846/5 less than or equal to -2191770? False Which is greater: -29626881 or -29626878? -29626878 Is -821688 bigger than 119? False Is 11489772 at least 11489696? True Which is smaller: 0.021 or 158796? 0.021 Do 1788/11 and -35/984 have the same value? False Which is greater: 0 or -2/8880151? 0 Which is greater: 57906 or 6264? 57906 Is -21672 smaller than 7278? True Is 10350 smaller than 3/2147? False Is 5/1133107 bigger than 0? True Which is smaller: 3/25244 or -2/19? -2/19 Are 35458 and 4024 equal? False Is -99203 less than or equal to -4563323/46? True Are 6994878 and 6994883 nonequal? True Which is greater: 30440.1 or -79? 30440.1 Which is smaller: 0 or -2/113432663? -2/113432663 Is -4/5207 equal to -102? False Which is smaller: 45 or 7634754? 45 Which is smaller: -80696 or -1712? -80696 Is 416713/183 at least 2278? False Which is bigger: 554644/131 or 4233? 554644/131 Which is greater: -0.4 or 67722.94? 67722.94 Are 2860137 and -212 equal? False Is -122419 not equal to -126615? True Is 1028/46599 <= -1? False Which is smaller: -224504896 or -224504894? -224504896 Is 6650106 at least 6650102? True Are 955488 and -69 equal? False Which is smaller: 202122412 or 2/15? 2/15 Which is greater: 15648006 or 15647992? 15648006 Which is bigger: -6100272/11 or -554571? -6100272/11 Which is smaller: 651247 or 651301? 651247 Which is smaller: 1.59166412 or 2/9? 2/9 Is 26871 smaller than 88.5? False Is -27583/140 at least as big as -197? False Which is bigger: -70688883 or -70688885? -70688883 Is 187899 less than 187876? False Is -541 less than or equal to -274818/509? True Is 1/3169103607 smaller than 1? True Which is greater: 419406653 or 419406654? 419406654 Is -4000749 greater than or equal to -4000748? False Is -1 >= -46/56309? False Which is bigger: 692287 or 692273? 692287 Are 20635512/77 and 267993 unequal? True Are 2/3 and -24005364 non-equal? True Which is smaller: -18/3211139 or -1? -1 Is 2149 < -104360? False Is 10 smaller than 10092/1141? False Which is greater: 2/3 or 55458/11207? 55458/11207 Is 1/3 less than -12816892? False Which is greater: 1 or 12/4315669? 1 Which is smaller: 461781 or 19394773/42? 19394773/42 Is -7814 at least -2617292/335? False Is -2800 > -2398? False Is -4/114234471 less than -1? False Which is smaller: 616692 or 616708? 616692 Which is bigger: -3000460 or -51007814/17? -51007814/17 Is 2744667349 >= 2744667349? True Which is greater: -1 or 155/1231997? 155/1231997 Which is smaller: -2/21 or 6495058? -2/21 Which is smaller: 5489 or 4190? 4190 Which is greater: 0 or 3445649? 3445649 Is -18709067 bigger than -18709068? True Which is greater: -686 or 17563? 17563 Which is bigger: 26053369/3 or 8684456? 26053369/3 Which is smaller: -682998417 or -682998418? -682998418 Which is greater: 5/4 or 72638? 72638 Which is bigger: -2/5 or 43362523? 43362523 Which is bigger: -88 or 2004213? 2004213 Is -2699009 smaller than -2698719? True Which is smaller: -7 or 0.1939706? -7 Is 6570 at least 6513? True Are -1 and -11232/206179 equal? False Is -3159362 < -1/4? True Which is smaller: -5221026 or -5220965? -5221026 Which is smaller: 0 or 143/69967? 0 Is 439 less than or equal to 1245? True Are -349557527 and -349557532 equal? False Which is bigger: -150727142 or -150727141? -150727141 Is 54934647 less than 54934647? False Are -6181 and -7766 non-equal? True Which is smaller: -280259 or -280305? -280305 Which is bigger: -5/1080757 or 1? 1 Which is bigger: -1093460 or -1093462? -1093460 Is 2/283 greater than -4.921233? True Is -49 >= -74474/3? True Which is smaller: 7029228/163 or 43124? 43124 Is -6142175 != -6142178? True Are -1536587 and -1536556 equal? False Which is smaller: 36 or -20302? -20302 Which is smaller: -4366/57653 or -2/7? -2/7 Is 2125680/19 at most 111879? True Is -387 at least as big as -1689204/4349? True Is -413959587 at most as big as -413959587? True Is 1 smaller than 235/1284496? False Which is bigger: -154714 or -153052? -153052 Which is smaller: -1/4 or -116024897? -116024897 Is -93164/133 smaller than -699? True Which is bigger: 1329 or 2897? 2897 Is 65378321 > 65378321? False Is 1/3752013 at most as big as 0? False Is -0.2555455 greater than -11.6? True Is -0.178 not equal to 5/126371? True Which is smaller: -44608400 or -44608392? -44608400 Is 8392817/64 >= 131138? False Which is smaller: 512911075 or 512911076? 512911075 Which is greater: 0 or 1748/3763? 1748/3763 Which is greater: -2195.19 or 20? 20 Which is smaller: -1638639474 or 1? -1638639474 Which is smaller: -3/696076258 or 0? -3/696076258 Which is greater: -11497 or -11672? -11497 Which is bigger: 0.04866 or 61.5? 61.5 Which is bigger: -137/2 or 517.482? 517.482 Which is bigger: 1 or -1/49452179? 1 Is 2464155 equal to 2464209? False Is 3/35 bigger than -15251242? True Is 602 at least -1.7139? True Which is bigger: -358303 or 0.6? 0.6 Do -37774 and -1279 have different values? True Is -50377503 bigger than -50377503? False Which is greater: 3302/3157 or 2? 2 Which is smaller: -145810/327 or -11? -145810/327 Which is smaller: 0 or 1184/33013? 0 Which is smaller: -615836 or -615842? -615842 Is -512 smaller than -102851/201? True Which is greater: -5830 or 56689? 56689 Which is smaller: -1 or 153/1233667? -1 Does -117345244 = -117345245? False Is 1 less than or equal to 195/287593? False Is -80 greater than or equal to -1579331? True Which is smaller: -14606093 or -14606095? -14606095 Which is bigger: -3554220/79 or -44990? -44990 Is 4 at least as big as 105954/19295? False Is 0.1 less than -1298/85267? False Which is smaller: 0 or -3/88251119? -3/88251119 Which is greater: 901658 or 901664? 901664 Which is bigger: 6686 or 188901? 188901 Which is smaller: 268 or 159422/593? 268 Is 10297602 equal to 1
{ "pile_set_name": "DM Mathematics" }
0 What is prob of picking 1 n, 1 d, and 2 g when four letters picked without replacement from dddgddnddngnndddgdg? 22/323 Two letters picked without replacement from avdafvgf. What is prob of picking 1 a and 1 g? 1/14 What is prob of picking 1 b and 1 h when two letters picked without replacement from byyhyllyhhm? 3/55 What is prob of picking 2 f and 1 x when three letters picked without replacement from xxf? 0 What is prob of picking 1 g and 2 n when three letters picked without replacement from {g: 1, n: 16, w: 1}? 5/34 Three letters picked without replacement from tueeeuutuutueu. Give prob of picking 1 e and 2 u. 3/13 Calculate prob of picking 1 v and 1 m when two letters picked without replacement from mddmeeevmjjm. 2/33 What is prob of picking 1 d and 1 n when two letters picked without replacement from {d: 1, n: 2, a: 2, r: 11, i: 3}? 2/171 Two letters picked without replacement from {t: 2, g: 3, q: 1, e: 5, o: 3, m: 6}. Give prob of picking 1 q and 1 o. 3/190 Four letters picked without replacement from llvtltllaatttilila. What is prob of picking 2 v, 1 i, and 1 t? 0 Calculate prob of picking 1 p, 2 c, and 1 x when four letters picked without replacement from pcpxpbcpcppcbccppc. 14/255 What is prob of picking 2 e and 2 n when four letters picked without replacement from eneeeneee? 1/6 Two letters picked without replacement from {n: 14, x: 4}. Give prob of picking 2 n. 91/153 Calculate prob of picking 2 n and 1 o when three letters picked without replacement from {y: 4, n: 2, o: 3}. 1/28 Four letters picked without replacement from {j: 7, g: 2}. Give prob of picking 4 j. 5/18 Three letters picked without replacement from {t: 1, c: 5, d: 1, g: 2, f: 5, e: 5}. Give prob of picking 2 f and 1 g. 20/969 Two letters picked without replacement from xxrwwwrxrwlwlwxrlll. What is prob of picking 2 l? 10/171 Three letters picked without replacement from iybffifnfb. What is prob of picking 1 b, 1 i, and 1 f? 2/15 Calculate prob of picking 1 y, 1 d, and 1 v when three letters picked without replacement from vddddddyddd. 3/55 Calculate prob of picking 1 r and 1 y when two letters picked without replacement from {y: 5, r: 5, l: 4}. 25/91 Calculate prob of picking 3 y and 1 i when four letters picked without replacement from {p: 1, y: 3, i: 1, w: 1, b: 1}. 1/35 Four letters picked without replacement from {k: 3, w: 3, t: 1}. Give prob of picking 2 w and 2 k. 9/35 Calculate prob of picking 1 b, 1 g, and 1 u when three letters picked without replacement from gyubgyygugugu. 10/143 What is prob of picking 1 b and 1 q when two letters picked without replacement from {k: 4, c: 1, w: 2, q: 1, b: 2, e: 7}? 1/68 What is prob of picking 1 p and 2 u when three letters picked without replacement from guppgaazgggugauu? 3/140 Calculate prob of picking 1 w, 1 m, and 1 j when three letters picked without replacement from {m: 4, j: 2, w: 3}. 2/7 Two letters picked without replacement from vabvkzzazv. What is prob of picking 1 a and 1 b? 2/45 Three letters picked without replacement from awdmdmd. What is prob of picking 1 d and 2 m? 3/35 Two letters picked without replacement from {a: 1, j: 1, q: 1, v: 2, g: 1, b: 1}. What is prob of picking 1 b and 1 q? 1/21 Two letters picked without replacement from {i: 2, s: 2, g: 1, x: 9, n: 2, t: 4}. What is prob of picking 1 i and 1 g? 1/95 Calculate prob of picking 2 l when two letters picked without replacement from {l: 2, r: 5, g: 1, b: 1}. 1/36 Calculate prob of picking 2 j when two letters picked without replacement from yoojooooyjoooyyyzozz. 1/190 What is prob of picking 1 l, 2 s, and 1 c when four letters picked without replacement from {l: 1, c: 4, r: 1, w: 3, s: 2}? 2/165 What is prob of picking 2 f when two letters picked without replacement from bbbffbbbbbb? 1/55 Three letters picked without replacement from hjbkjjk. Give prob of picking 2 j and 1 h. 3/35 Calculate prob of picking 1 g, 1 s, and 2 q when four letters picked without replacement from hghhdhgqs. 0 Two letters picked without replacement from {q: 1, e: 1, n: 2, i: 1, m: 1, u: 2}. What is prob of picking 1 n and 1 m? 1/14 Calculate prob of picking 1 t, 1 n, and 1 g when three letters picked without replacement from {n: 2, m: 2, t: 1, j: 2, g: 1}. 1/28 Two letters picked without replacement from {y: 7, q: 12}. What is prob of picking 2 y? 7/57 Two letters picked without replacement from {s: 13, a: 3}. Give prob of picking 1 a and 1 s. 13/40 What is prob of picking 1 e and 1 u when two letters picked without replacement from nlullnunleiililulli? 1/57 Four letters picked without replacement from tttuttupyu. Give prob of picking 1 p, 1 y, and 2 t. 1/21 Two letters picked without replacement from cvvvvtwvcwvtvvcvvptw. Give prob of picking 1 p and 1 v. 1/19 Two letters picked without replacement from {n: 1, y: 3, b: 6, w: 4}. Give prob of picking 2 w. 6/91 What is prob of picking 1 b and 1 a when two letters picked without replacement from ltttbttbtltbttttbta? 4/171 Calculate prob of picking 1 e and 3 y when four letters picked without replacement from {y: 6, e: 1, a: 4}. 2/33 Four letters picked without replacement from dmdmdmmdddmm. Give prob of picking 4 d. 1/33 What is prob of picking 2 x and 1 y when three letters picked without replacement from xjjyyjjxjjjjyjjyxj? 1/68 Two letters picked without replacement from {z: 4, j: 1, t: 1, b: 2, u: 3}. Give prob of picking 1 t and 1 j. 1/55 Calculate prob of picking 1 z, 1 f, and 1 d when three letters picked without replacement from {d: 1, v: 1, r: 1, z: 2, f: 1, u: 1}. 2/35 Three letters picked without replacement from {p: 7, a: 4}. Give prob of picking 3 a. 4/165 Calculate prob of picking 1 n, 1 e, and 1 v when three letters picked without replacement from {n: 1, v: 3, e: 2, k: 1}. 6/35 Three letters picked without replacement from {p: 1, x: 3, n: 2, b: 1}. What is prob of picking 1 x, 1 n, and 1 b? 6/35 Calculate prob of picking 2 z, 1 o, and 1 d when four letters picked without replacement from hollohohzlhdlh. 0 Four letters picked without replacement from {x: 2, u: 6, s: 5, r: 2, f: 3}. Give prob of picking 3 u and 1 x. 2/153 What is prob of picking 4 c when four letters picked without replacement from {c: 6, o: 3, u: 1, l: 3}? 3/143 What is prob of picking 1 u and 1 p when two letters picked without replacement from ptutp? 1/5 What is prob of picking 1 f, 1 n, and 2 l when four letters picked without replacement from {s: 4, x: 2, o: 1, f: 3, n: 3, l: 4}? 27/1190 Three letters picked without replacement from ywyyxxyxxyoxxyyy. Give prob of picking 3 y. 1/10 Two letters picked without replacement from {e: 1, p: 3, k: 1, v: 4, j: 6}. What is prob of picking 1 v and 1 p? 4/35 Four letters picked without replacement from ppkprrpappakpaqkkpp. Give prob of picking 2 r and 2 a. 1/1292 Four letters picked without replacement from {t: 12, h: 1, q: 3}. Give prob of picking 3 t and 1 h. 11/91 Four letters picked without replacement from {o: 6, h: 4, q: 9}. Give prob of picking 2 h, 1 o, and 1 q. 27/323 Calculate prob of picking 1 e and 2 w when three letters picked without replacement from {e: 3, w: 1, p: 3}. 0 Two letters picked without replacement from hhoohhh. Give prob of picking 2 h. 10/21 What is prob of picking 2 f and 1 n when three letters picked without replacement from {y: 1, f: 2, n: 1, j: 2, z: 1}? 1/35 What is prob of picking 2 i and 1 e when three letters picked without replacement from {i: 4, s: 2, e: 8, o: 2}? 3/35 Two letters picked without replacement from {p: 7, r: 3}. Give prob of picking 2 r. 1/15 Three letters picked without replacement from iiiihhhhii. What is prob of picking 3 h? 1/30 Calculate prob of picking 2 b and 2 p when four letters picked without replacement from {p: 18, b: 2}. 3/95 What is prob of picking 1 e and 1 z when two letters picked without replacement from wwfewsweswweessfzwez? 1/19 Two letters picked without replacement from rxnrroyrzrnnyxyxxn. What is prob of picking 1 o and 1 z? 1/153 Two letters picked without replacement from {r: 3}. What is prob of picking 2 r? 1 Three letters picked without replacement from amnnmcmmnmof. What is prob of picking 1 m, 1 o, and 1 f? 1/44 What is prob of picking 2 a when two letters picked without replacement from aazz? 1/6 Calculate prob of
{ "pile_set_name": "DM Mathematics" }
6*g + w*g + 42*g**2 + 8*g**3 - 46*g**2 + 2. Let v(q) = -q**3 + q. Calculate 6*v(u) + y(u). 2*u**3 - 4*u**2 + 2 Let u(q) be the second derivative of -q**3/6 - q**2/2 - 44*q + 1. Let w(b) = 5*b + 3. Determine 6*u(d) + w(d). -d - 3 Let t(r) = -2*r**2 - 4*r + 5. Let u(d) = 29*d**2 - 7*d + 9 + 24*d**2 - 56*d**2. What is -7*t(o) + 4*u(o)? 2*o**2 + 1 Let p(o) = -o**3 - 5*o**2 - 12*o - 2. Let n(w) = 2*w**3 + 9*w**2 + 24*w + 4. Give 6*n(f) + 11*p(f). f**3 - f**2 + 12*f + 2 Let m be (2*11/8)/(7/56). Let u(g) = 16*g - 11. Let p(k) = k - 1. Determine m*p(h) - 2*u(h). -10*h Let s(q) = -q**2 + 39*q - 6. Let r(u) = -u**2 + 41*u - 7. Give -4*r(v) + 5*s(v). -v**2 + 31*v - 2 Let o(t) = 27*t - 2. Let a(d) = 14*d - 1. What is -7*a(q) + 3*o(q)? -17*q + 1 Let m(b) = -197*b - 24. Let h(p) = 63*p + 8. What is 7*h(o) + 2*m(o)? 47*o + 8 Let p(x) = 13*x - 9. Let l(z) = 52*z - 35. Give 2*l(n) - 9*p(n). -13*n + 11 Let m = -8 - -9. Let t = m - -16. Let g(o) = o**3 + 6*o. Let y(j) = 3*j**3 + 17*j. Suppose 0*l = w + 2*l + 12, 0 = 4*w - l + 21. Calculate t*g(v) + w*y(v). -v**3 Let q(u) = 4*u**2 - u - 7. Let k = -15 - -15. Suppose k*f + 5 = 2*t + f, 3*f + 30 = 3*t. Let r(i) = 6*i**2 - i - 10. Determine t*r(b) - 7*q(b). 2*b**2 + 2*b - 1 Suppose 4*c = -2*z + 14, 53*z = 52*z + 2*c + 15. Let p(w) = -3*w**2 - 5*w**2 + w**2. Let x(a) = -13*a**2. Determine z*p(l) - 6*x(l). l**2 Let l be 2 - (0 + 0)*1. Let n(w) = 1 - 5*w**l + 0*w**2 + 4*w + 4*w**2 - 3*w. Let q(a) = a**3 - 5*a**2 + 7*a + 6. Give -5*n(x) + q(x). x**3 + 2*x + 1 Let b(f) = 161*f**3 - f**2 - 5*f - 4. Let z(p) = -81*p**3 + 2*p + 2. Determine 2*b(n) + 5*z(n). -83*n**3 - 2*n**2 + 2 Let w(z) = 10*z**2 + 14. Let m(n) = 6*n**2 + 43. Let o(f) = -3*f**2 - 23. Let s(g) = 6*m(g) + 11*o(g). Determine -14*s(x) + 4*w(x). -2*x**2 - 14 Let g(v) = 6*v - 4. Let z(i) be the first derivative of 9*i**2/2 - 6*i + 62. Calculate 7*g(d) - 5*z(d). -3*d + 2 Let i(z) = 3*z**2 - 24. Let y(q) = -1. Give i(k) - 6*y(k). 3*k**2 - 18 Let q = 13 - -2. Suppose -w - 1 = -n + 3, q = -5*w. Let c(l) = -l**2 + 1. Let b(d) = 6*d**2 + 2*d - 5. Let u be (0 - -1)*50/10. Determine n*b(v) + u*c(v). v**2 + 2*v Let k(i) = -3*i**3 - 3*i**2 + 4*i + 4. Let v = 49 - 45. Let h(o) = -2*o**2. Let c(n) = -n**3 + 2*n**2 + n + 1. Let f(x) = v*h(x) + 3*c(x). Give 4*f(y) - 3*k(y). -3*y**3 + y**2 Let u(v) = 44*v**3 - 5*v. Let z(m) = -22*m**3 + 2*m. Determine -4*u(q) - 10*z(q). 44*q**3 Let z(c) = 2*c**2 - c - 1. Let r(y) = 18*y**2 + 2*y - 5. Determine -r(v) + 3*z(v). -12*v**2 - 5*v + 2 Let b(t) = 3*t**2. Let j(y) = -y. Let i be j(-1). Let h be -1 - -3 - (-5 + i). Let l(x) = -38*x**2 + 73*x**2 - 29*x**2. Determine h*l(s) - 13*b(s). -3*s**2 Let j(v) = -27*v - 101. Let z(f) = 13*f + 53. Calculate -6*j(n) - 11*z(n). 19*n + 23 Let i(k) = 7*k - 14. Let y(g) = 35*g - 70. Calculate -11*i(m) + 2*y(m). -7*m + 14 Let z = 819 + -817. Let t(r) = -4*r**3 - 3*r**2 - 2. Let a(j) = j**2 + 0*j**2 + j**2 + 3*j**3 + 1. Calculate z*t(d) + 3*a(d). d**3 - 1 Let l(x) = -18*x**3 - 2*x**2 + 4*x + 6. Let u(j) = -71*j**3 - 9*j**2 + 18*j + 24. Give 9*l(z) - 2*u(z). -20*z**3 + 6 Let r(u) be the second derivative of -u**4/12 - u**3/3 - 2*u**2 - 4*u. Suppose -28 - 47 = 25*t. Let n(k) = 3*k + 5. What is t*r(o) - 2*n(o)? 3*o**2 + 2 Let n(i) = 11*i**3 - 4*i**2 - 7*i + 5. Let w(s) = -s**2 - 4*s - s**2 + 162*s**3 + 3 - 156*s**3. Calculate 4*n(g) - 7*w(g). 2*g**3 - 2*g**2 - 1 Let n(x) = 14*x**3 + 8*x**2 - 3*x + 6. Let l(k) = 5*k**3 + 3*k**2 - k + 2. Suppose 0*u - 5*d = u - 12, -3*d - 4 = 2*u. Calculate u*l(v) + 3*n(v). 2*v**3 - v + 2 Let u(g) = 2*g + 21. Let b(k) = -2*k - 20. Calculate -3*b(j) - 2*u(j). 2*j + 18 Let r(u) = u - 4. Let p be (-10)/15 - 49/(-42). Let s(q) be the first derivative of -9 - p*q**2 + 3*q. Determine 5*r(n) + 6*s(n). -n - 2 Let a(g) = -15*g**3 + 33*g. Let i(l) be the first derivative of -l**4/4 + l**2 - 103. Give -2*a(j) + 33*i(j). -3*j**3 Let i(q) = -5*q**3 + 19*q**2 - 1. Let r(w) = 7*w**3 - 19*w**2 + 1. Determine 3*i(v) + 2*r(v). -v**3 + 19*v**2 - 1 Let s(k) = 158 - 319 + 149 - 5*k**2 - 6*k. Let l(p) = 2*p**2 + 2*p + 4. Give -8*l(g) - 3*s(g). -g**2 + 2*g + 4 Let p(y) be the first derivative of -4*y**3/3 - y**2 - 2*y + 341. Let z(m) be the second derivative of -5*m**4/12 - m**3/2 - m**2 - 2*m. Give -4*p(u) + 3*z(u). u**2 - u + 2 Let d(f) = 160*f**2 - 13*f + 4. Let j(v) = 160*v**2 - 9*v + 3. Calculate 3*d(m) - 4*j(m). -160*m**2 - 3*m Let p be (-8)/14 + 85/(-35). Let q(s) = 7*s**2 + 3*s - 3. Let z(h) = -h**2 + h - 1. Let b(y) = 4*y**2 - 6*y + 6. Let a(c) = b(c) + 5*z(c). Give p*a(l) - q(l). -4*l**2 Let m(l) = l - 2. Let y = -34 + 32. Let a(x) = -3*x + 4. What is y*a(b) - 5*m(b)? b + 2 Let i(f) = 169*f + 1. Let g(k) = -173*k. Calculate 3*g(h) + 2*i(h). -181*h + 2 Let s(r) = -r. Let b(k) = 4*k. Let c(o) = -b(o) - 2*s(o). Let y(j) = 1 + 15*j - 42*j + 18*j + 10*j. Calculate -c(u) - 3*y(u). -u - 3 Let c(d) be the second derivative of 14*d + 0*d**2 + 0 + 1/3*d**3. Let r(l) = -3*l. Suppose -2*o + 5*o = -9. Give o*r(a) - 5*c(a). -a Let f(o) = 3*o**2 + 13*o + 15. Let l(r) = -2*r**2 - 11*r - 16. What is 4*f(b) + 5*l(b)? 2*b**2 - 3*b - 20 Let q(d) = -6*d**2 + 6*d - 4. Let r(m) = -18*m**2 + 17*m - 11. Let u = 240 + -236. Give u*r(k) - 11*q(k). -6*k**2 + 2*k Let s be 3/(255/4750) + 24/204. Let l(f) = 77*f + 56. Let y(h) = 4*h + 3. What is s*y(q) - 3*l(q)? -7*q Let t(q) = -11*q - 2. Let u(y) = y**2 + 55*y + 10. Calculate -11*t(g) - 2*u(g). -2*g**2 + 11*g + 2 Let u(b) be the third derivative of -b**4/24 - 3*b**3/2 - 79*b**2. Let p(i) = i + 10. Calculate 5*p(g) + 6*u(g). -g - 4 Let y(t) = -12*t + 17. Let q(g) be the third derivative of g**4/6 - g**3 - 4*g**2 - 39. Give -17*q(x) - 6*y(x). 4*x Let r(x) = 6*x**2 - 5*x - 5. Let b = -5 - 0. Let f(t) = 2*t + 2. Let v be f(2). Let h(q) = 7*q**2 - 360*q - 1150 + 354*q + 1144. What is b*h(g) + v*r(g)? g**2 Let k(a) = -2*a**3 - 4*a. Suppose -2*w - 4*o = 3*w + 6, -2*o = -3*w - 8. Let v(n) = -n**3 - 5*n. What is w*k(y) + 3*v(y)? y**3 - 7*y Suppose 0 = -4*u + 4*v + 8, 4*v + v = -5*u + 40. Let f(l) = -l + 4. Let s(t) = -t + 7. Calculate u*f(k) - 3*s(k). -2*k - 1 Let g(o) = -4*o**3 + 6*o**2 - 89*o - 12. Let u(i) = -11*i**3 + 17*i**2 - 268*i - 34. What is -17*g(k) + 6*u(k)? 2*k**3 - 95*k Let q(s) = -3*s**3 + 17*s**2 + 19*s - 14. Let c(g) = g**3 - 6*g**2 - 7*g + 5. Calculate 17*c(z) + 6*q(z). -z**3 - 5*z + 1 Let c(a) = -a - 4. Suppose 5*n - 10 - 15 = 0, -g - n = 15. Let t be 5/g + 10/8. Let q(d) = 3 - 1 - t. What is -2*c(s) - 6*q(s)? 2*s + 2 Let u(k) = -4438*k. Let j(z) = -87*z. What is -308*j(w) + 6*u(w)? 168*w Let w(y) = 16 - 3 - 2*y - 12. Let g(v) = -v. Give g(k) - w(k). k - 1 Let p(u) = -u**3 - 2*u + 2. Let r = 28 + -22. Suppose -r = 2*i - 4*i. Let k(g) = 13 - 7 + g**3 + i*g - 9. Calculate -4*k(c) - 6*p(c). 2*c**3 Let b(j) = j + 55. Let n(r) = -6*r - 277. What is -22*b(y) - 4*n(y)? 2*y - 102 Let x(n) = -199998*n. Let m(z) = -527*z. Give -1897*m(o) + 5*x(o). -271*o Let s(v) = 6*v + 32. Let c(r) = -5*r - 32. Determine 3*c(u) + 2*s(u). -3*u - 32 Let j(b) = 5*b - 6. Suppose 0 = -3*q + 31 - 40. Let y(g) = -5*g + 5. Determine q*j(i) - 4*y(i). 5*i - 2 Let z(x) = x. Let t(d) be the first derivative of d**2 + 0*d**2 + d - 3 + 1. Let r(u) = 2*u**2 + 21*u - 7. Let h be r(-11). Determine h*z(q) - t(q). 2*q - 1 Let d(l) = 4*l - 3. Let y(h) = -7*h + 5. Let n(i) = -11*d(i) - 6*y(i). Let p(a) = 8*a - 13. Give -18*n(j) - 4*p(j). 4*j - 2 Let z(c) = 10*c + 2. Suppose -4*b + 4*q - 49 = -41, 3*b + 3*q - 24 = 0. Let t(i) = 11*i + 3. What is b*z(l) - 2*t(l)? 8*l Let l(q) = q**2 - 1. Let c(z) be the second derivative of 0 + 5/2*z**2 + 22*z + 1/6*z**3 - 1/3*z**4. Determine -c(j) - 6*l(j). -2*j**2 - j + 1 Let i = 4 - -1. Let u(s) = -9*s + 8. Let g(b) = -8*b + 10. Let l(o) = 2*g(o) - 3*u(o). Let w(j) = -5*j + 2. Determine i*w(c) + 2*l(c). -3*c + 2 Let v(h) = 8*h**2 + 5*h - 7. Let l(t) = -16*t**2 - 9*t + 13. What is 3*l(p) + 5*v(p)? -8*p**2 - 2*p + 4 Let d(r) = -174*r - 4. Let o(n) = -512*n - 12. What is 17*d(g) - 6*o(g)? 114*g + 4 Let h(u) = 11*u**2 + 6*u - 10. Let i(a) = -6*a**2 - 3*a + 6. Determine 2*h(k) + 5*i(k). -8*k**2 - 3*k + 10 Let d(j) = -16*j**3 + 16*j**2. Let m(r) = 3*r**3 - 3*r**2. Suppose 0 = -5*w + 4*w. Suppose 8*v + w = -88. What is v*m(y) - 2*d(y)? -y**3 + y**2 Let c(g) = 4*g - 6. Le
{ "pile_set_name": "DM Mathematics" }
uate 62/24*597/12338. 1/8 What is (-3)/12*208/1404*54? -2 What is the value of ((-4)/(-18))/(1610/(-690))? -2/21 What is 45/(-60)*4/9*-7? 7/3 What is the value of (((-2)/18)/(27/162))/(26/117)? -3 What is (-2)/32*24/(-88)*-22? -3/8 What is the value of ((-2)/(-5))/((-64)/32)? -1/5 Calculate (340/(-1360))/((-1)/(16/(-6))). -2/3 What is 20/4*(-5)/(-15)? 5/3 Evaluate ((-48)/(-832))/((-1)/4). -3/13 20*6/(-20)*(-15)/(405/(-36)) -8 Evaluate ((-561)/204)/((-4)/16). 11 Calculate (-14)/105*-20*(-90)/40. -6 What is -6*((-4)/(-48)*-3)/((-165)/(-44))? 2/5 What is the value of ((-400)/375)/((119/(-35))/17)? 16/3 -9*(20/(25/5))/3 -12 What is the value of (1791/(-199))/((-3)/6)? 18 What is the value of ((-79)/(-395))/((-4)/3)? -3/20 What is 6/(-3)*(-5)/70*119/(-68)? -1/4 What is (15/(-18))/((16/(-4))/4)? 5/6 What is the value of (80/24)/((-8)/(-120)*-5)? -10 (1/4)/(6*(-161)/368) -2/21 Evaluate 5*1/((-375)/40)*54/72. -2/5 (-2)/(-854)*2*1834/262 2/61 Evaluate ((-3)/(-7))/((17955/(-70))/57). -2/21 What is ((-33)/12)/((10/28)/((-30)/(-7)))? -33 Calculate 5/(-3)*1868/42030. -2/27 Evaluate 16/(-6)*(-1070)/1712. 5/3 (-154)/88*24/(-7) 6 What is the value of ((3/(-18))/(19/76))/(32/6)? -1/8 What is (1/(18/(-15)))/(4/(-24))? 5 What is ((-108)/(-13))/(-12)*39? -27 Evaluate ((66/(-18))/11)/(32/(-48)). 1/2 Calculate ((-4*2/7)/(1830/(-121695)))/2. 38 What is the value of (-162)/(-63)*(-105)/765? -6/17 Calculate 28*(12*(-72)/(-1680))/(3/5). 24 Evaluate (-6*3)/(120/20). -3 What is ((-8)/11)/(4*7/(-7))? 2/11 Evaluate (5868/2445)/(6/50). 20 Evaluate (-6)/(-16)*2064/(-1161). -2/3 What is 14/(87/(-406)*(-28)/(-12))? -28 45/60*4/(-13) -3/13 Calculate (-20)/10*(98/4)/(-7). 7 Calculate ((20/(-70))/(-1))/(85/(-35)). -2/17 What is 1/(-26)*(1216/48)/(-19)? 2/39 Calculate (-1)/(-1)*-3*(-147)/(-63). -7 Calculate (-393)/(-524)*(-34)/(-3). 17/2 Calculate ((-504)/(-665))/12*10/6. 2/19 What is -12*95/(-19)*2/6? 20 What is (-9)/((3/(-20)*2)/(4/(-20)))? -6 What is (4/(-7))/((-5904)/(-2296))? -2/9 What is ((-3)/12)/((368/(-32))/(-23))? -1/2 What is the value of 24/63*(-49)/28*3/(-89)? 2/89 Evaluate 5*132/60*-1. -11 What is (4/(-6))/(((-674)/77847)/((-2)/14))? -11 Evaluate 1/1*11*(56/8)/(-7). -11 What is (-15)/460*(52/(-65))/((-6)/5)? -1/46 Calculate 4/(-28*(-2)/42). 3 (-20)/((-400)/6)*(-4)/18 -1/15 What is (-6)/5*(-47)/((-329)/70)? -12 (34398/756)/(13/2) 7 Evaluate ((-72)/(-8))/(1*(-21)/14). -6 Evaluate (((-65)/15)/(-13))/((-2)/16). -8/3 ((-66)/(-55))/(2/5*4/(-4)) -3 What is the value of 3/(-63)*15/35*392/144? -1/18 What is (32/(-72))/((56/12)/(-7))? 2/3 Evaluate (((-11)/(-198))/(2/4))/((-46)/(-207)). 1/2 ((-3332)/(-595))/((-3)/(-15)) 28 Calculate ((-56)/(-2))/(-2)*-18*115/966. 30 -40*(-23)/17710*(-11)/(-2) 2/7 Evaluate 38/95*(-90)/(-9). 4 What is 265/53*(-6)/(-2280)*8? 2/19 What is the value of ((-122)/(-244))/(1/2)? 1 Calculate (7/(-175))/(3/5). -1/15 What is ((4/(-21))/((-140)/175))/((-70)/(-252))? 6/7 (3*-1)/((-27)/(-3726)*-23) 18 ((52/18)/((-64)/(-144)))/(1/2) 13 Calculate (-5280)/220*2/(-8). 6 5*((-195)/52)/(-15) 5/4 2*(-182)/28*1 -13 Evaluate (-21)/2*394/1379. -3 What is the value of (155/30)/31*((-132)/40)/(-11)? 1/20 Evaluate ((520/35)/(-2))/((-148)/(-518)). -26 Calculate ((5/(-5))/2)/(52/312). -3 Evaluate ((-18)/(-7*(-33)/22))/(4/(-14)). 6 (-2)/3*(56/(-3))/(372/837) 28 What is ((-11)/(44/72))/((-276)/92)? 6 Evaluate 1*(-33)/((-23595)/(-26)). -2/55 Evaluate (26/6)/((-1)/12*(-840)/(-210)). -13 What is (-4)/((-27)/((-2673)/36))? -11 What is the value of ((-115)/138)/(-20*(-1)/18)? -3/4 Evaluate 8*-1*(9568/(-256))/(-23). -13 (-56)/98*(-3395)/(-194) -10 What is the value of 54/(-9)*45/27? -10 What is 11/1*((-1532)/1149)/(8/6)? -11 What is the value of -24*30/180*(1/(-6))/(-1)? -2/3 Calculate 14/(-15)*(-160)/56. 8/3 What is the value of (-14)/6*2556/1491? -4 What is the value of (-57)/((-19)/(190/12)*(-40)/(-16))? 19 4/(-18)*(-729)/324*(-96)/42 -8/7 What is the value of (-132)/(-330)*(-175)/5? -14 What is (((-6)/(-12))/1)/(-5*6/(-60))? 1 ((2/3)/((-16)/(-162)))/(150/(-400)) -18 ((-2)/(6/(-27)*60))/((-108)/(-60)) 1/12 Calculate 51/(-3)*((-10)/15)/((-4)/(-6)). 17 What is the value of 14*(-9)/60*((-2890)/153)/(-34)? -7/6 Evaluate 306/1377*(-54)/(-11). 12/11 Calculate (-9)/21*(-700)/30. 10 Evaluate (-3)/((3750/475)/50). -19 What is the value of 7/(-2)*((-90)/(-42))/(-5)? 3/2 Calculate (3*884/(-51))/(-4). 13 What is -3*-2*1/3*788/(-6304)? -1/4 What is 20/(-15)*12/(-8)*(-40)/920? -2/23 Calculate -2*1*12/(-16)*4/(-9). -2/3 Calculate 1125/135*(-42)/(-35)*2. 20 What is the value of (-4)/3*(-4472)/688*18/26? 6 ((-3)/1)/((-189)/(-210)*10/(-6)) 2 Calculate (((-30)/5)/(-3))/((2048/16)/(-16)). -1/4 Calculate (-51*31/(-1054))/((-69)/(-4)). 2/23 What is the value of (((-24)/(-14))/(-2))/(257/(-7196))? 24 Evaluate -3*35/(-10)*25/(600/(-16)). -7 What is ((-19)/456*12)/((-2)/(24/33))? 2/11 What is ((-175)/(-20))/7*((-4032)/70)/(-16)? 9/2 What is the value of -1*(546/351)/(4/3)*-2? 7/3 (4712/(-124))/((-4)/(-2)) -19 Evaluate (-8)/24*(-11)/(-77). -1/21 Evaluate 6/6*(-7)/(-1). 7 Evaluate 12/28*1015/(-1305). -1/3 ((-14)/((-140)/125))/((-315)/(-21)) 5/6 Evaluate -18*9/((-243)/9). 6 13/(-26)*49/14 -7/4 Calculate 1932/(-1104)*44/(-7). 11 Calculate (24*(-18)/(-480))/((-21)/(-490)). 21 What is the value of ((-221)/(-247))/(57/2166)? 34 What is 9/((-216)/204)*(2/(-5))/1? 17/5 ((-104)/(-6))/((-1256)/(-942)) 13 What is the value of (37/(1665/54))/((-4)/50)? -15 What is the value of -9*(1470/(-63))/10? 21 Evaluate (7/(140/16))/(25/((-1875)/(-120))). 1/2 What is the value of ((-82)/82)/(9/3*(-12)/9)? 1/4 What is the value of (10*1)/((-8)/((-104)/13)*-1)? -10 Calculate ((-158)/948)/(5/(15/2)). -1/4 2*(-15)/90*-21 7 ((-108)/(-324))/((8/(-20))/(12/10)) -1 What is (-28)/(-10)*1020/(-357)? -8 What is the value of 4*5/(-40)*(-1)/(-2)? -1/4 -4*(-4)/448*(-68)/(-17) 1/7 What is the value of ((-8)/(-12))/(98/(-735))? -5 What is the value of -19*(-9)/684*4? 1 Calculate (4/(-12)*(-60)/40)/((-222)/(-24)). 2/37 (-39)/((-2106)/72)*(-15)/(-130) 2/13 Calculate (-16)/36*(2/3)/(490/441). -4/15 Calculate 5/(-9)*(-666)/7215. 2/39 ((-12*16/(-3840))/(1/16))/6 2/15 What is the value of (-3)/(-6)*-6*(-12)/(-108)? -1/3 Evaluate ((-1)/(-1))/((-4)/34*(-340)/(-80)). -2 Calculate (31/310)/(-3*1/(-6))*45. 9 (2*10/(-105))/(18/(216/2)) -8/7 What is the value of (-23)/(966/28)*3*(-13)/(-2)? -13 What is ((-326)/978)/((-3)/((-189)/(-15)))? 7/5 Evaluate -16*(147/(-112))/21. 1 What is (-1)/(2/(-11))*(-47)/(4606/49)? -11/4 Calculate (14/((-238)/(-289))*(-1)/3)/(-1). 17/3 Evaluate (-1)/((-24*(-14)/672)/(6/(-4))). 3 (-24*5/(-2160))/(6/(-27)) -1/4 Evaluate (((-10)/(-20))/1)/((-7)/(-700)*5). 10 What is the value of ((-21)/(2541/44)*33/(-6))/12? 1/6 Evaluate (91/3003)/(1/(-12)). -4/11 Calculate (3/(-4))/((1243/308)/(-113)). 21 What is the value of ((-4)/(-6))/(64/1440)? 15 What is the value of (-7)/4*((-20)/(-14))/5? -1/2 Calculate (-1)/(((-1)/3)/(2330/(-699))). -10 What is 141/282*(-1)/((-1)/(-16))? -8 What is the value of (36/(-15))/((-48)/60)? 3 What is the value of ((-52)/65*1/(-2))/((-3)/105)? -14 What is the value of ((2574/(-65))/33)/(4/(-30))? 9 Calculate 12*11/(2310/14). 4/5 What is the value of -20*(-6)/(17/(102/45))? 16 What is (24/(-20))/(((-9)/(-15))/(-3)*2)? 3 Calculate (-10)/(-3)*117/(-910)*-4. 12/7 Evaluate (-72)/672*4*1*14/(-123). 2/41 144/96*-4*1/(-24) 1/4 Calculate (-1*4)/(5*20/(-50)*-2). -1 4872/(-406)*8/(-60)*-5 -8 What is ((-5520)/(-1880))/23*((-2)/(-1))/6? 2/47 Evaluate 20/(-5440)*-68*16/(-3). -4/3 Calculate 8*3/9*876/(-146). -16 Calculate ((-478)/1195)/((-1)/(-30)). -12 Calculate ((-14)/21)/(135/(-162)*3/(-15)). -4 Evaluate 8/16*(-92)/621. -2/27 What is ((185/70)/(-37))/((-6)/(-8))? -2/21 What is 7/(7*9/42)*(-60)/(-35)? 8 ((-5)/(-60))/(33/(-594)) -3/2 What is the value of (4/(-16))/(3/8)*9030/860? -7 Calculate ((-83)/(-664))/(5/(-10)). -1/4 Calculate (5/(-420)*-7)/((-225)/360). -2/15 Evaluate (-44)/(56/(-105)*-3*15/(-6)). 11 Calculate (-14*(-3)/21)/(680/(-10)). -1/34 What is (-2)/8*2*(-124)/31? 2 What is the value of (8/22)/(84/(-462))? -2 Calculate ((-15)/(-15))/(2*2*4/(-32)). -2 What is the value of (4/(13/(91/70)))/((-8)/(-260))? 13 Calculate 22/(-4)*49*(-32)/616. 14 What is the value of (35/105)/((-6)/((-144)/(-20)))? -2/5 Calculate
{ "pile_set_name": "DM Mathematics" }
*p - 2*p + 0 - 2*p + 5*p - 1 + p - 2*p + 0*p + (p + 0 + 0)*(-2 + 3 - 3) + 3*p + 2*p - p as x + v*p and give x. -1 Express 3*o**3 + 2 - 2*o**3 + 1 - 3*o**3 in the form j + t*o**3 + n*o**2 + f*o and give j. 3 Rearrange 0 - 10*w + 0 to the form x*w + u and give x. -10 Rearrange 40*a**2 - 341*a + 341*a to o*a**2 + x*a + c and give o. 40 Express 0*i**2 + 3*i**2 + 3*i**2 as a + c*i**2 + h*i and give c. 6 Rearrange -226*m - m**2 - 1 + 221*m - m**2 to a*m + l + u*m**2 and give a. -5 Rearrange 55 - 55 - 5*l - 4*l**2 - 6*l**2 to the form v*l**2 + h*l + f and give v. -10 Express -3 + 12*n**3 + 2 - 3*n - 11*n**3 - 2*n**4 as j*n + h*n**4 + o*n**3 + q + l*n**2 and give j. -3 Express (1 - 2 + 2)*(2*j - 4*j + 4*j)*(-5 + 1 + 2) in the form f*j + z and give f. -4 Rearrange 25*c - c**2 - 8*c + 15*c + 0*c to the form h*c + r + s*c**2 and give s. -1 Rearrange -7*o + 2*o + 3*o + (1 - 3 + 3)*(2*o - o + 0*o) - 4*o - 2*o + 4*o + (-o + 3*o - 3*o)*(-4 + 3 + 2) to the form w + h*o and give h. -4 Express (1 - 1 - z + z - z + 2*z + (-4 + 0 + 3)*(2*z - 4*z - z))*(-3*z**2 + 7*z**2 + 2*z**2) in the form g + h*z**2 + f*z + j*z**3 and give j. 24 Express (-d + 9*d**2 - 9*d**2 + d**4)*(7 - 5 + 2) in the form f*d**4 + o + a*d**3 + g*d**2 + y*d and give y. -4 Express 13*t - 47*t + 238*t as j + x*t and give x. 204 Rearrange (3*k + 3*k**2 - 3*k)*((-k - 4 + 4)*(-2*k + 5*k - 2*k) + 47*k - 47*k - 7*k**2) to v + u*k**3 + d*k**2 + t*k**4 + h*k and give h. 0 Express -2*n**2 - 10 - 3 - 10 - 14 in the form w*n**2 + h*n + q and give q. -37 Express -w**3 - 7 + 7*w**3 + 6*w**3 - 2*w**3 in the form k + t*w**2 + f*w + x*w**3 and give x. 10 Rearrange 8*y**3 + 14*y**3 + 31*y**3 + (0 + 0 + 2)*(2*y**2 + y**3 - 2*y**2) to q*y**3 + a + v*y + m*y**2 and give q. 55 Express u**2 - 5*u**2 - 54 - 2*u**2 + 59 as y*u + h + a*u**2 and give a. -6 Express -1 + 1 - j - 16*j in the form q + l*j and give l. -17 Rearrange (2*t**3 + 0*t**3 - 3*t**3)*(4 + 314*t - 651*t + 325*t) to b*t**4 + v*t + y*t**2 + f*t**3 + p and give f. -4 Express 98 - x - 50 - 51 + 4*x as l + p*x and give p. 3 Express (-5*m + 3*m + 0*m)*(-9 + 9 - 3*m)*(0 - 1 + 3) as k*m + j*m**2 + w and give w. 0 Express -58*f + 147*f - 62*f in the form w + l*f and give l. 27 Express (-3*m + 7*m + 4*m)*(-3 - 6 + 10) as y + s*m and give s. 8 Express -6 + 6 - 18*a**2 + a**2 as v*a + w + r*a**2 and give r. -17 Rearrange (w**2 - 2 + 2)*(76*w - 176*w - 82*w) to s*w**2 + f + z*w + u*w**3 and give u. -182 Express -4 - n**2 + 9*n**2 - 5*n**2 in the form g*n**2 + s + a*n and give g. 3 Express ((3 + 2 - 3)*(-4*k**2 + 3*k**2 - k**2) + 2 - 2 + k**2)*(-1 + 6 - 1) in the form o + d*k + m*k**2 and give m. -12 Express b**2 - 3*b**2 + 7*b**2 - 3*b**2 + 9 as c*b**2 + z + d*b and give c. 2 Rearrange -569*i**2 + 571*i**2 - 6 + 5*i + 0*i to p + r*i + u*i**2 and give u. 2 Rearrange -4 + 1 + 7*p**2 - 8 - 5*p**2 to a + o*p + l*p**2 and give l. 2 Express (0 + 2 + 1 + (1 - 1 - 1)*(1 + 2 - 1) + 3 - 8 + 2)*(-3*m**4 + 4*m**4 + 0*m**4) as j + g*m**2 + z*m + i*m**3 + p*m**4 and give p. -2 Express 7*i - 2*i - 2*i - 3*i + i + 2 - 3 + 2 - i - 2 - 3*i - 2*i + 3*i + (0*i + i - 2*i)*(-3 + 2 + 2) - 2 + i + 2 as b + g*i and give b. -1 Rearrange -43*t**2 - 95*t + 95*t to the form x*t + p*t**2 + j and give p. -43 Express 4*c**3 - 8*c**3 - 65*c + c**3 + 4*c**3 as v*c**2 + l*c**3 + j*c + y and give j. -65 Rearrange (-3*g**2 + 6*g**2 - g**2)*(-g - 29*g**2 + 8*g**2 - g) to the form m*g**2 + w*g + b + l*g**3 + v*g**4 and give l. -4 Express 0*c + 0*c + c**3 + (-1 + 0 + 2)*(-2*c**3 + 5*c - 5*c) - 2*c**3 + 1 - 1 in the form s*c**2 + t*c**3 + a*c + d and give t. -3 Rearrange 14*n + 9 - 8 + 1 to the form k + f*n and give f. 14 Express (-18*u**3 + 3*u**3 - 2*u**3)*(6*u - 3*u - u) as y*u + c*u**4 + q*u**3 + f*u**2 + k and give c. -34 Rearrange (4 - 1 - 1)*(-5*h + 4*h + 3*h) - h - 2*h + h - 7*h + 2*h + 2*h + (1 + h - 1)*(0 + 3 + 0) + h + 0 + 0 + 2*h + h + 0*h to w*h + a and give w. 6 Rearrange 0*v**2 - 4 - 2 - 4 - v**2 to z*v**2 + q + p*v and give z. -1 Express 2*a**3 + 1 + 0 - a**3 in the form x*a**3 + b*a**2 + u*a + y and give x. 1 Rearrange (-30 + 30 + 7*p**2)*(-2 - 5 + 5 + 3*p) to f*p**2 + z*p**3 + j*p + v and give f. -14 Express -13*r**2 + 4*r**2 + 0*r**2 in the form z + d*r**2 + j*r and give d. -9 Rearrange 2*q**2 + 0*q**2 + 2*q + q + 8*q**3 - 35*q**3 to the form v*q**2 + l + a*q + k*q**3 and give v. 2 Express -4*i + 4*i - 3*i**3 - 2*i**4 + (-29*i + 29*i + 2*i**3)*(-2 + 2 - 2*i) - 2*i**4 + 3 - 3 as u*i**3 + f*i**4 + k*i + p*i**2 + c and give u. -3 Express 2*b**2 - 13 - 6 + 5 as x + y*b + t*b**2 and give x. -14 Express 44 - 94*i + 94*i - 2*i**2 as a*i + p + h*i**2 and give h. -2 Express -19*m**3 + 2 - 1 + 20*m**3 + 8*m in the form u*m**2 + k*m + p + d*m**3 and give d. 1 Rearrange (47*h + 4*h**2 - 47*h)*(3*h - 2 + 2)*(1 - h - 1) to x + f*h + g*h**2 + q*h**3 + s*h**4 and give s. -12 Express (3*h**3 - 4*h**3 + 0*h**3)*(3 + 1 - 3)*(-27 + 37 + 100)*(0 - 4 + 2) in the form i*h + q*h**2 + z + x*h**3 and give x. 220 Rearrange (3*l**2 - 11*l**2 - 7*l**2)*(3*l + 0*l - l) + 2*l**3 - l**3 - 2*l**3 + (-3*l**3 + l**3 + l**3)*(3 + 2 - 3) to s*l**2 + j*l**3 + t*l + p and give j. -33 Express y + y**2 + 172*y**4 - 203*y**4 + y as v*y**2 + a*y**3 + j*y**4 + r*y + p and give r. 2 Rearrange w + 47*w**3 - 2*w**2 - 92*w**3 - 3 + 46*w**3 to x*w**3 + h + k*w**2 + d*w and give k. -2 Rearrange w**3 - w + 1 - 2*w**3 + 5*w**3 + 0*w to the form g + h*w**2 + a*w + c*w**3 and give a. -1 Express 3*r**3 - 5*r + 1 + 0 - 1 in the form s*r + x*r**3 + p + g*r**2 and give x. 3 Rearrange ((4*s + 0*s - 3*s)*(1 + 1 - 3) - 2*s - 1 + 1 + 1 - 1 - s)*(-3*s + 4*s - 5*s) to the form p*s**2 + g*s + l and give p. 16 Express (-f + 2*f - 3*f)*(2 - 3 - 4)*(f**2 + 0*f**2 - 2*f**2) in the form c*f**2 + m*f + n*f**3 + t and give n. -10 Express 3*m + 2*m + 0*m - 7*m - 19 in the form y + b*m and give b. -2 Rearrange 0*u + 6*u**2 + 1 + 38*u**2 + 0*u to n*u**2 + f*u + y and give n. 44 Rearrange -23*j**3 - 3*j + 9*j**3 + 11*j**3 + j**2 to the form u*j**2 + l + g*j**3 + f*j and give u. 1 Express (4 - 4 + 2*l)*(2*l + 5*l - 5*l) - 2*l**2 - 4*l**2 + 4*l**2 - 3*l**2 + 0*l**2 - l**2 as s*l**2 + v*l + f and give s. -2 Rearrange 146*j + 905 - 905 to the form m + l*j and give m. 0 Rearrange (k - 2*k + 5*k + (0 + 2 - 3)*(0 + 0 - 2*k))*(-k**3 - 4*k**3 + 3*k**3) to m*k**4 + r*k + y + b*k**3 + v*k**2 and give y. 0 Express -2*m + 7 + 6 - 13 in the form i*m + p and give p. 0 Express (2*k - k + 0*k)*(-5*k + 3*k + 0*k) - 5*k**2 - 2*k**2 - k**2 as j*k + i*k**2 + w and give i. -10 Rearrange 2 - 394*l + 394*l - 28*l**4 + (2*l**2 + l**3 - 2*l**2)*(-3*l + 3*l + l) to x + b*l + n*l**2 + g*l**4 + j*l**3 and give x. 2 Express -2*d + 5*d**2 - 3*d**3 + 2*d**3 - 7*d**2 as n + o*d**2 + j*d**3 + y*d and give j. -1 Express (-1 + 3 + 1)*(0*p + p - 3*p) as a*p + w and give a. -6 Express (-8 + 5 + 14)*(0 - r + 0 - 5*r + 4*r + 3*r + (0*r - r - r)*(4 + 0 - 2)) in the form g*r + k and give g. -33 Express (-54 + 28 + 27)*(-2*v - 2*v + 3*v) in the form n*v + x and give n. -1 Rearrange (1 - 3*l - 1)*(0 + 0 + 1)*(9 + 28 + 0) to the form u*l + x and give u. -111 Rearrange 11*y - 15*y + 9*y + 0 + y + 0 + (3*y - 2*y + y)*(0 - 1 + 2) + (0 + 5 + 0)*(3 - y - 3) to w + b*y and give b. 3 Rearrange 83*b**2 - 82*b**2 - 2*b**3 - 6*b + 4*b**3 to the form g*b**3 + p*b**2 + t + k*b and give k. -6 Express 2*d - 6*d - 4*d - 15*d in the form f*d + j and give f. -23 Rearrange (-4*f**2 + 3*f**2 + 2*f**2)*(2*f**2 + 0*f**2 + f**2)*(1 - 2 + 4) + 3*f**4 - 3*f**4 - 2*f**4 to the form y*f**4 + w + c*f + p*f**3 + a*f**2 and give y. 7 Rearrange (1 + 0 + 1)*(-3 + 3 + x + 3 - 3 - x - x + 4*x - 2*x - 3*x + 3*x - 2*x + (3 - 1 - 1)*(2 + 3*x - 2)) to m*x + i and give m. 4 Express -10*h + h + 7*h - 2*h**2 + 4*h**4 in the form z*h**2 + k*h**3 + v*h**4 + q*h + g and give v. 4 Express 0*o**4 - 3*o**4 + 3*o**2 + 3*o**2 - o - o**2 as g*o**3 + z + h*o**4 + j*o**2 + f*o and give f. -1 Express 2*k**3 + k**4 + 0*k**3 - k - 3*k**2 - 2 - 4*k**2 + 3 as o + q*k**3 + p*k**4 + b*k**2 + w*k and give w. -1 Rearrange 15*r**3 - 4*r**3 + 4*r**2 - 12*r**3 + (-3*r + r + 3*r)*(-2*r**2 + 2*r**2 + 2*r**2) - 2*r**3 + 3*r**3 + r**3 to y*r + q + u*r**3 + f*r**2 and give f. 4 Rearrange 83*h**2 + 31*h**2 - 24*h**2 to the form z + n*h + c*h**2 and give c. 90 Express
{ "pile_set_name": "DM Mathematics" }
= 50. Let c be -1 - 2 - 30/y*10. Let g(h) = -11*h. Let x(b) = -78*b. What is c*g(u) + 2*x(u)? 9*u Let c(m) = 2*m**2 - m**3 + 33*m - 181*m + 145*m + 2. Let s(a) = -a**3 + a**2 - 4*a + 2. Give -4*c(d) + 3*s(d). d**3 - 5*d**2 - 2 Let t(k) = 2*k**3 + 5*k + 2. Let q(r) = 12*r**3 + 2*r**2 + 19*r - 11. Calculate q(l) - 5*t(l). 2*l**3 + 2*l**2 - 6*l - 21 Let w(y) = -8*y. Let n(q) = 70*q - 15*q - 24*q - 33*q. Calculate -18*n(j) + 4*w(j). 4*j Let w(q) = -q**2 + 5*q - 6. Let v(s) = -s**2 + 6*s - 7. Suppose -186*y - 55*y + 1704 - 499 = 0. Determine y*v(m) - 6*w(m). m**2 + 1 Let m(d) = d**3 - d**2 + d + 1. Suppose 422*g - 442*g = -20. Let c(i) = -3*i**3 + 7*i**2 - 5*i - 4. Determine g*c(r) + 5*m(r). 2*r**3 + 2*r**2 + 1 Let y = 1426 - 1420. Let k(f) = 17*f - 6. Let o(r) = 17*r - 7. What is y*k(g) - 5*o(g)? 17*g - 1 Let y(w) = -3*w + 193. Let a(h) = 5*h - 289. What is 5*a(b) + 8*y(b)? b + 99 Let x(g) = -18*g**3 + 9*g**2 - 13*g. Let v(b) = -b**3 + 40*b**2 - 36*b - 126. Let h be v(39). Let z(y) = -9*y**3 + 4*y**2 - 6*y. Give h*z(c) + 4*x(c). 9*c**3 + 2*c Let m(l) = -39*l - 12. Let c(n) = -2*n - 1. Calculate 15*c(b) - m(b). 9*b - 3 Let u(x) = 153. Let j(i) = 92. Let o(m) = -5*j(m) + 3*u(m). Let g(c) = 33*c - 1. Determine -g(a) + 3*o(a). -33*a - 2 Let q(w) = -2*w**3 + 5*w**2 + 52*w - 69. Let m(o) = 3*o**3 - 7*o**2 - 77*o + 102. Give 5*m(u) + 7*q(u). u**3 - 21*u + 27 Let k(z) = 441*z**3 + 66*z**2 + 33*z - 24. Let x(l) = 55*l**3 + 8*l**2 + 4*l - 3. Determine -4*k(n) + 33*x(n). 51*n**3 - 3 Let v(t) = -t**2 + t - 1. Let s be ((-44)/11 + -1)*(-3)/3. Let q(l) = l - 1. Give s*q(w) - 4*v(w). 4*w**2 + w - 1 Let s(l) = 2395*l**2 + 8*l + 14. Let o(t) = -598*t**2 - 2*t - 4. Calculate -11*o(r) - 3*s(r). -607*r**2 - 2*r + 2 Let u(b) = -b**3 + 9*b**2 - 11. Let m be 28/6 + 3*(-14)/63. Let v(j) = -j**3 + 5*j**2 - 6 - m*j**3 - 6*j**3 + 10*j**3. Give 6*u(h) - 11*v(h). 5*h**3 - h**2 Let t(l) be the third derivative of 1/12*l**4 - l**2 + 3 - 4/3*l**3 + 0*l. Let z(q) = 1. Determine t(f) + 5*z(f). 2*f - 3 Let l(b) = -3422*b**2 + 4*b - 3. Let k(j) = -1138*j**2 + j - 1. Calculate 7*k(m) - 2*l(m). -1122*m**2 - m - 1 Let u(d) = 2*d**2 + d + 2. Let i(a) = 1. Let t = 190 + -185. Suppose 5*y - 15 + 39 = -k, t*k = -y - 24. Calculate k*i(p) + u(p). 2*p**2 + p - 2 Let n(z) = z + 4. Let b(i) be the second derivative of 1/6*i**3 + i**2 + 75*i + 0. Determine 5*b(u) - 3*n(u). 2*u - 2 Let j(t) = 6*t**2 + 34*t + 4. Let s(d) = -7*d**2 - 35*d - 4. Calculate 4*j(g) + 3*s(g). 3*g**2 + 31*g + 4 Let f(h) = 4*h**2 + 8*h - 8. Let o(g) = g - 1. Suppose 2*a + 2280 = -55*a. Determine a*o(p) + 5*f(p). 20*p**2 Let t(r) = -10914*r**3 - 8*r**2 + 6*r + 60. Let a(y) = -21829*y**3 - 14*y**2 + 11*y + 105. What is -4*a(s) + 7*t(s)? 10918*s**3 - 2*s Let a(q) = 0*q**2 - 84007*q**3 + q**2 - 1 - 5*q + 84004*q**3. Let f(j) = -16*j**3 + 6*j**2 - 25*j - 6. Give -11*a(p) + 2*f(p). p**3 + p**2 + 5*p - 1 Let k be (-24)/5 + 5 + 9/5. Let f(d) = -36*d**2 + 78*d**k - 3 - 34*d**2. Let j(x) = -13*x**2 + x**2 - 5*x**2 + 7. Determine 7*f(v) + 3*j(v). 5*v**2 Let w(c) = -12*c**2 + 2*c + 2. Let b(g) be the second derivative of 203*g**4/12 - 35*g**3/6 - 35*g**2/2 + 710*g. Give -2*b(p) - 35*w(p). 14*p**2 Let o(d) = -2*d**3 - 26*d**2 + 78*d + 10489. Let z(y) = -y**3 - 12*y**2 + 36*y + 5244. What is 6*o(x) - 13*z(x)? x**3 - 5238 Let u(x) = -x**3 - 2*x**2 + 3*x - 3. Let l = 92 + -79. Let n(t) = -l - 2*t + 14 + 1 + t**2. Give 3*n(h) + 2*u(h). -2*h**3 - h**2 Let g(k) = k**3 + k - 1. Let u = -10103 - -10106. Let h(n) = -3 - 17*n + 2*n**3 + 0 + 20*n. Calculate u*g(l) - h(l). l**3 Let l(d) = 13475*d - 2. Let p(c) = -6728*c + 1. What is 3*l(z) + 5*p(z)? 6785*z - 1 Let f(r) = -3 + 3441*r**2 - 3434*r**2 - 4 - r. Let w(d) = 4*d**2 - d - 4. What is 3*f(v) - 5*w(v)? v**2 + 2*v - 1 Let z(r) = r**2 + 54*r. Let j(q) = 4*q**2 + 28*q. What is -5*j(c) + 2*z(c)? -18*c**2 - 32*c Let w(v) be the first derivative of 126 + 9*v - 3/2*v**2 - 2/3*v**3. Let x(y) = -3*y**2 - 5*y + 19. Determine 5*w(m) - 3*x(m). -m**2 - 12 Let f = -8719 + 8717. Let y(k) = 2*k**2 - k + 3. Let l(q) = 5*q**2 - 3*q + 10. Give f*l(m) + 7*y(m). 4*m**2 - m + 1 Let z(h) = -26*h**2 - 84*h + 21. Let l(a) = -7*a**2 - 21*a + 6. What is 11*l(d) - 3*z(d)? d**2 + 21*d + 3 Let h(b) = -b - 1. Suppose -3*f = -y - 166, -6*y = 2*f - y - 88. Let g be (1/2)/((-27)/f). Let w(l) = 7*l + 8. Determine g*w(u) - 6*h(u). -u - 2 Let c(w) = 1 - 4 - 3*w + 4 - 5. Let j(o) be the third derivative of o**4/24 + o**3/6 - 1707*o**2. What is -c(s) - j(s)? 2*s + 3 Let x be (4/1)/(-1) - 2. Let h(d) = 6*d. Let w(y) = 5*y. Let t(l) = -6*h(l) + 7*w(l). Let v(z) = 0*z - 4*z + 1 - 3. Calculate x*t(f) + v(f). 2*f - 2 Let v(x) be the first derivative of x**2/2 + x + 237. Let y(w) = 4*w**2 - 4*w - 2. Suppose -8 = -2*d - 2*n, 5*d - 5*n + 2*n = -20. Determine d*y(k) - 4*v(k). -4*k**2 - 2 Let w(l) = -1. Let b(s) = -3*s**2 + s - 1. Let t(p) = 3*b(p) - 3*w(p). Let q = 203 + -199. Let f(c) = -5*c**2 + 2*c. What is q*t(k) - 7*f(k)? -k**2 - 2*k Let a(m) = 0 - 4*m - 61*m**3 + 4 + 67*m**3. Let c(v) = v**3 - v + 1. Suppose -3*w + 19 + 16 = -2*y, 5*y - 7 = -3*w. Let k = 10 - w. Determine k*a(i) - 4*c(i). 2*i**3 Suppose 0 = 4*d - 2*h + 22, 0 = 4*h + 7 - 3. Let w(i) = -10*i - 3. Let g(v) = 33*v - 2*v - 42*v - 4. What is d*w(r) + 5*g(r)? 5*r - 2 Let h(a) = 274*a - 13088. Let p(d) = -61*d + 3272. What is 2*h(g) + 9*p(g)? -g + 3272 Let h(x) = -2*x - 4. Let m be h(-5). Let i(v) be the third derivative of -v**4/3 + 7*v**3/6 + 81*v**2 + v - 37. Let z(b) = b - 1. Give m*z(g) + i(g). -2*g + 1 Let j be (-1 + (-3)/(-5))*-35. Let d(g) = 3*g + j - 9 - 8*g. Suppose -35*x + 64*x + 261 = 0. Let p(w) = 2*w - 2. Determine x*p(m) - 4*d(m). 2*m - 2 Let b(j) be the first derivative of -9*j**4/2 - 2*j**3/3 - 2*j - 1256. Let d(m) = -m**3 + m**2 + 1. Calculate -b(z) - 2*d(z). 20*z**3 Let w(p) = -2*p + 4. Let t(u) = 4*u - 7. Let s = -2896 - -2901. Calculate s*w(o) + 3*t(o). 2*o - 1 Let p(f) = -196 - 12*f + 192 + 24*f. Let b(d) = 11*d - 5. What is 5*b(m) - 6*p(m)? -17*m - 1 Let x(s) = -8*s**2 - 3*s + 3. Let l(d) = -104*d**2 - 40*d + 40. Let w be 60/10*-2 - -9. Determine w*l(r) + 40*x(r). -8*r**2 Suppose -c + 4 - 8 = 0. Let p(s) = -s**2 - 2*s + 3. Let w(b) = b + 1. Let i(d) = p(d) - 3*w(d). Let g(a) = a**2 - 9*a + 4*a + 6*a. Give c*g(k) - i(k). -3*k**2 + k Let b(y) = -151*y + 35*y + 108*y - 9 + 6*y**2 + 2*y**3. Let s(p) = 6*p**3 + 17*p**2 - 23*p - 26. Give -17*b(g) + 6*s(g). 2*g**3 - 2*g - 3 Let f(l) = -407*l**3 - 19*l**2 - 6*l + 9. Let b(r) = -408*r**3 - 22*r**2 - 7*r + 10. Determine 6*b(u) - 7*f(u). 401*u**3 + u**2 - 3 Suppose 3*x = 2*c + 6*x + 1, 2*c - 2*x = -6. Let b(d) = -4*d**3 + 3. Let m(a) = -17*a**3 + 13. Let o be (89 - 90)/((-1)/9). Calculate c*m(p) + o*b(p). -2*p**3 + 1 Let n(u) = 8*u**2 - 14*u. Let y = 148 + -142. Let f(b) = 52*b**2 - 88*b. Let x(s) = -17*s**2 + 29*s. Let i(o) = 2*f(o) + 7*x(o). Give y*i(z) + 11*n(z). -2*z**2 + 8*z Let d(o) = -3*o**3 - 2*o - 2. Let a = -8158 - -8160. Let n(i) = 11*i**3 + 8*i + 7. Give a*n(z) + 9*d(z). -5*z**3 - 2*z - 4 Let d(z) = -13*z + 13. Let i(m) = 3*m - 3. Let r be ((-80)/12)/10*3. Let q(j) = r*d(j) - 9*i(j). Let u(s) = -s + 4 - s - s. Determine -q(y) + u(y). -2*y + 3 Let l(i) = -i**3 + 3*i**2 + 3. Let z be (-25)/10*(-4)/5. Let h be 168/54 - 2/18. Let c(d) = -2 + 3 - 3*d**2 - 5 + 2. Determine h*c(f) + z*l(f). -2*f**3 - 3*f**2 Let t(o) = -o - 1. Let s be (378/756)/(((-2)/(-54))/((-16)/(-24))). Let x(h) be the second derivative of -5/2*h**2 + s*h + 0 - h**3. What is -5*t(l) + x(l)? -l Let r(y) = -5*y**2 - 7*y - 3. Suppose 6 = 2*p - 2. Let m be ((-10)/p)/(220/(-176)). Let t(d) = 4*d**2 + 6*d + 2. Calculate m*r(k) + 3*t(k). 2*k**2 + 4*k Let h be (-2)/(-5)*(-24 - -29). Let t(p) = 7*p + p**h - 8*p - 4*p**2. Let m(q) = 1. Calculate -2*m(s) + t(s). -3*s**2 - s - 2 Let k(y) = -28*y**3 - 7. Let v(m) = m**3 + 4*m**2 - 20*m - 42. Let n be v(-6). Let b(c) = -29*c**3 - 6. Give n*k(x) - 7*b(x). 35*x**3 Let b(z) = 4*z - 7. Let y(i) = i**2 + 25*i + 5. Let c be y(-25). Let x be 24/(-12) + c + 9/3. Let n(g) = -9*g + 15. Determine x*n(f) + 13*b(f). -2*f - 1 Let b(x) = 1668*x - 47. Let f(q) = 334*q - 7. Give -3*b(k) + 16*f(k). 340*k + 29 Suppose 2930*d - 2874*d - 1512 = 0. Let p(c) be the second derivative of 1/2*c**2 - d*c + 1/3*c**3 + 0. Le
{ "pile_set_name": "DM Mathematics" }
factors of g? 2, 3 List the prime factors of (-6)/10 - 4578/(-30). 2, 19 Let n be (-3)/(0 + 3/(-3)). Suppose 11 = -2*x + n*c, x + 23 = c + 4*c. List the prime factors of (-1)/x - (-175)/14. 2, 3 Suppose 6 = 4*p - 10. Suppose -p*k + 2 = 2*h, -2*k - 2*h = -k - 2. Suppose -2*i + 4*s + 12 = k, 24 = i + 2*i - 4*s. What are the prime factors of i? 2, 3 Let s = -140 - -310. List the prime factors of s. 2, 5, 17 Let u(g) = -11*g**3 - g**2 + 2*g. Let q be u(2). What are the prime factors of q/(-9) - (-4)/18? 2, 5 What are the prime factors of (-1 + (-4)/(-2))*205? 5, 41 Suppose -3*i = -4*c - 4*i + 235, -12 = -4*i. What are the prime factors of c? 2, 29 Let n be -2 - ((-2)/1 - 35). Suppose 0*j + 5*h - n = -5*j, 4*h = 2*j - 8. What are the prime factors of j? 2, 3 Suppose 4*d - 5*d = -117. Suppose -4*p = -2*p - 3*g - d, 4*p + 3*g = 225. List the prime factors of p. 3, 19 Let g(m) = 4*m**2 - 2*m. Let f be g(-6). Suppose -4*w = -3*n - 117 - 22, f = -4*n - 2*w. Let r = -28 - n. What are the prime factors of r? 13 Let a(m) = -m**2 - 8*m - 5. Let o(l) = -l**2 - 7*l - 5. Let w(d) = 6*a(d) - 7*o(d). Let j = -1 + 1. List the prime factors of w(j). 5 Let v = -40 - -23. Let o = 37 + v. What are the prime factors of o? 2, 5 Let b(h) = 41*h - 18. List the prime factors of b(5). 11, 17 Suppose 42 = 3*k + 2*d, 6*d - d = 15. List the prime factors of k. 2, 3 Let t = 6 + -5. List the prime factors of 1*-17*(0 - t). 17 Let f = 174 + -102. List the prime factors of f. 2, 3 Let b(k) = -k**2 - 11*k - 10. What are the prime factors of b(-9)? 2 Let z be (1/2)/(10/(-240)). Let m = -1 - z. What are the prime factors of m? 11 Suppose -3*x - 124 = -7*x. What are the prime factors of x? 31 Suppose -2*u = 0, 0 = 4*m - 3*m + 4*u + 7. Let f = m - -5. Let y = 11 + f. What are the prime factors of y? 3 Let v(t) = t - 15. Let d be v(0). Let g = -9 - d. List the prime factors of g. 2, 3 Let d = -56 - -81. What are the prime factors of d? 5 Let v = 38 - 26. Suppose -3*r = -r - v. List the prime factors of r. 2, 3 Let d(i) be the first derivative of -i**3/3 - 8*i**2 - 8*i - 3. List the prime factors of d(-11). 47 Let k(g) = -g - 11. Let h be k(-8). Let l be 4*h/4*-3. Suppose 4*p - 5*p + l = 0. List the prime factors of p. 3 Let q be 18/(-1 - 5/(-2)). Let l = 23 - q. List the prime factors of l. 11 Let v = -14 + 15. List the prime factors of (3/v + -34)/(-1). 31 Suppose 0 = k - x + 39, k + 5*x - 19 = -88. What are the prime factors of (k - 2)/(-2) - 2? 3, 7 Suppose n = 5*t - 41, 3*t - 2*n = n + 15. Let o(b) = -b**2 + 10*b + 1. List the prime factors of o(t). 2, 5 Let q(w) = -63*w - 3. What are the prime factors of q(-4)? 3, 83 Let x(c) = -c**3 - 4*c**2 - 6*c + 11. List the prime factors of x(-7). 2, 5 Let s = -307 - -460. Suppose s - 1 = 4*o. What are the prime factors of o? 2, 19 Let f(h) = -h - 2. Let t be f(-7). Suppose 0 = -t*j + 20, 3*o - 5*j + 35 = 4*o. Suppose -l - 4 = -o. List the prime factors of l. 11 Suppose 0*b = -2*b - 12. Let f(z) = -2*z - 9. Let y be f(b). Suppose 3*m - y*i + 27 = 8*m, -5*m = 5*i - 25. What are the prime factors of m? 2, 3 Let s = -6 - -10. Let k be 1/s + (-28)/(-16). Suppose -5*t = -n + 47, -5*n + 76 = -2*n - k*t. List the prime factors of n. 2, 11 Suppose j = -j - 2. Let k be 2*26/4*j. Let t = 0 - k. What are the prime factors of t? 13 Let s(a) = -2 + 1 + a + 0. List the prime factors of s(6). 5 Suppose 4*z = 3*m + 53, 56 = -4*m + 3*z - 5*z. Let q be m/(-3) - (1 - 2). Suppose -3*g + q*g = 12. List the prime factors of g. 2 Suppose -5*h = 2*g - 14, 0 = -g - 3*h + 6*h - 4. Let f(j) = -4*j - 1. Let t be f(-3). Suppose q = 2*p - 32, -p + 5*q + t = g*q. What are the prime factors of p? 17 Let d(p) = -2*p**3 - p**2 + p + 1. Let j be d(2). Let s = j + 26. List the prime factors of s. 3 List the prime factors of 63 - (-3 - 1 - -8). 59 Suppose 2*z + v + v + 6 = 0, -3*z + 2*v - 14 = 0. Let d be -2*(0 - (-6)/z). Suppose -17 = -d*m - 2. What are the prime factors of m? 5 Let k(a) = 6*a**3 - 4*a**2 + 2*a. Let j be k(2). Let d = 70 - j. Suppose -5*t = 3*l - d, 2*t + 3*t + 5*l - 30 = 0. List the prime factors of t. 2 Let l = -283 + 537. What are the prime factors of l? 2, 127 Let d = -6 + 18. List the prime factors of (-3)/(-2)*d/9. 2 Let h = 207 - 148. Suppose 2*w + 4*f = 44, -3*w - 13 = 2*f - h. Let k = w + 6. List the prime factors of k. 2, 3 Let u(j) = 2*j**2 - 4*j + 3. Let a be u(2). Suppose 0 = -4*y + 17 + a. Suppose -i - 32 = -y*i. What are the prime factors of i? 2 Suppose -2*u = -4*u + 116. Let x = -40 + u. What are the prime factors of x? 2, 3 Let u be 0 - 0/3 - -4. Suppose u*v - v = 5*c + 12, -3*v + 12 = -4*c. Suppose l = v*k - k, -4*k = -3*l + 15. What are the prime factors of l? 3 Let w(u) = u**3 - 2*u**2 - 1. Let b be w(2). Let o be (3 + -2)*(1 + b). Suppose o = 3*i + 21 - 57. What are the prime factors of i? 2, 3 Let n(t) = t**3 - 3*t**2 - 8*t + 7. List the prime factors of n(5). 17 Let u = 19 - 23. Let f be ((-16)/10)/(2/(-10)). List the prime factors of (22/f)/((-1)/u). 11 Suppose 0 = 2*a - 5*a + 12. Let d(i) = -4*i + a*i - i. What are the prime factors of d(-4)? 2 What are the prime factors of ((-245)/(-20))/((-2)/(-8))? 7 Suppose -14 = 3*l + 16. What are the prime factors of l/3*(-15)/5? 2, 5 Let d(g) = 39*g**3 - g**2 + g - 1. Let f(a) = a**3 + 5*a**2 - 5*a + 7. Let t be f(-6). Let h be d(t). Suppose i - h = -i. What are the prime factors of i? 19 Suppose 0 = -2*n + 1 + 19. Suppose n = -5*f + 7*f. Suppose 2*i = -3*c + 35, c = -2*i - 2*i - f. List the prime factors of c. 3, 5 Suppose 43 = 3*v - 32. List the prime factors of (-129)/(-15) - (-10)/v. 3 Suppose 2*c = 7*c - 35. What are the prime factors of c? 7 Let q(o) = -o**3 + 6*o**2 - 7*o + 6. Let y be q(4). Let l be (20/(-6))/((-4)/(-6)). Let x = y + l. List the prime factors of x. 5 Let i be 11*(2 - (-3)/(-1)). Let h be -1*((-4)/(-2) - 0). List the prime factors of (i/2)/(1/h). 11 Let x(j) = 96*j**3 + 11*j**2 - 5*j. Let w(p) = -19*p**3 - 2*p**2 + p. Let r(b) = -11*w(b) - 2*x(b). Let h = 0 - -1. List the prime factors of r(h). 2 Let y = 107 + 18. List the prime factors of y. 5 Suppose 3*r - 136 = -46. Let o = r + -16. List the prime factors of o. 2, 7 Suppose -4*g - 5*x = -45, 3*x - x - 69 = -5*g. List the prime factors of g. 3, 5 List the prime factors of (9/(-2))/((-3)/30). 3, 5 Let d = -1 - -9. What are the prime factors of d? 2 Suppose -4*v = -6*v. Let a(x) = x**2 - x + 10 - 2 - 2*x**2. What are the prime factors of a(v)? 2 Suppose -4*m + 0*z + 22 = 2*z, 2*z - 7 = m. Suppose -o + 1 + 11 = -m*f, 0 = -3*f + 3. List the prime factors of o. 3, 5 Suppose 6*n - n - 65 = 0. What are the prime factors of 197/n + (-6)/39? 3, 5 Let g = 309 - 171. List the prime factors of g. 2, 3, 23 Let c(q) = q**2 - 16*q + 19. List the prime factors of c(15). 2 Let h = 8 + -12. Let v(b) = b + 4. Let p be v(h). Let j(s) = -s**2 - s + 8. What are the prime factors of j(p)? 2 Let w = 18 - 2. What are the prime factors of w? 2 Let b be (-369)/(-4) + (-15)/60. Let v = b - 55. List the prime factors of v. 37 Suppose 2*n + n = 258. What are the prime factors of n? 2, 43 Suppose 0*c + 4*c = 5*m + 5, -1 = 4*c + m. Suppose 4*p - 112 = -c*p. What are the prime factors of p? 2, 7 Suppose f - 591 = -2*f - 2*r, -4*f + 788 = 5*r. What are the prime factors of f? 197 Let r = 1 + -4. What are the prime factors of 93*(-1)/r + -3? 2, 7 Suppose -l = -3*l - 20. Let a = 16 + l. Let t = -4 + a. List the prime factors of t. 2 Let d = -2 - 1. Suppose p + 4*y = 25, -y - 4*y + 11 = -p. Let x = p + d. What are the prime factors of x? 2, 3 Suppose -3*y = 4*u + 32, -u - 2*y - 3*y - 8 = 0. Let v be ((-16)/(-6))/(u/(-12)). Suppose v*w - 14 = 18. List the prime factors of w. 2 Suppose 6*l = 2*l. Suppose -4*i + i = 6, 3*y + 4*i - 31 = l. What are the prime factors of y? 13 Suppose -220 + 22 = -6*a. List the prime factors of a. 3, 11 Let i(l) be the third derivative of l**6/360 - 7*l**5/120 + l**4/8 + 2*l**2. Let h(d) be the second derivative of i(d). List the prime factors of h(8). 3 Suppose z = 4*i - 3*z - 32, 3*i - z = 24. Let o = i - -14. List the prime factors of o. 2, 11 Let m(g) = 8*g**2 + 2*g - 1. What are the prime factors of m(2)? 5, 7 Let z(p) = -p**3 + 2*p**2 + 10*p - 5. Let f be z(4). What are the prime factors of 6/(-9) + 158/f? 2, 13 Wha
{ "pile_set_name": "DM Mathematics" }
**2. -1600 - 146*sqrt(7) Simplify -4 + 0 + (5 + sqrt(1573)*-2 - (sqrt(1573) - (5 + (sqrt(1573)*-2 - sqrt(1573))) - sqrt(1573))**2) + -5. -14186 + 308*sqrt(13) Simplify 6*(sqrt(570)/(sqrt(10)*2) + sqrt(57))/(sqrt(3)*3*1)*-3. -9*sqrt(19) Simplify (-4*(0 + sqrt(704)*2)*-6*-6)**2. 58392576 Simplify ((sqrt(500) - (sqrt(500) + -1))*5)**2 + 2 + 5*2*sqrt(500) + (3 + ((sqrt(500) + -1)**2 - sqrt(500)) - sqrt(500)). 60*sqrt(5) + 531 Simplify ((sqrt(175) + sqrt(175) + sqrt(175)*1 + sqrt(175))/sqrt(5) - (sqrt(315) - -2*sqrt(315))/sqrt(9))/(1*sqrt(3645)). sqrt(7)/27 Simplify (-1 + 1 + sqrt(192) + (sqrt(192) + 0 + 0 - sqrt(192)) + sqrt(192) + 5)*-1. -16*sqrt(3) - 5 Simplify (((-3 + sqrt(704) + 1)*-2)**2 - -5*2*sqrt(704)*6) + 4. 352*sqrt(11) + 2836 Simplify 2 + (((sqrt(1584) + (sqrt(1584) - (0 + sqrt(1584)) - sqrt(1584)))*6)**2 - (sqrt(1584) + -1 + sqrt(1584) + -5)) + -2. -24*sqrt(11) + 6 Simplify ((6*(-1 + sqrt(320) + -4))**2 + 5)*5. -14400*sqrt(5) + 62125 Simplify (3*-3*(3 + sqrt(56)/(sqrt(8) - sqrt(32)))*-4)**2. -7776*sqrt(7) + 20736 Simplify (5 + 3 + (sqrt(19) - ((sqrt(228) + sqrt(57))/sqrt(3))**2))*-2. -2*sqrt(19) + 326 Simplify (-5 + 0 + 2*sqrt(22)/sqrt(11) + -5)**2. -40*sqrt(2) + 108 Simplify (sqrt(33) + (1*sqrt(330))/sqrt(10) + 2*sqrt(3993))/(3*(-1*sqrt(704) + sqrt(704) + sqrt(704))). sqrt(3) Simplify (5 + (sqrt(170)/(sqrt(10) + (sqrt(10) - (sqrt(10) + (sqrt(10) - sqrt(30)/sqrt(3))))))**2 + 3 + (sqrt(17) - (-5 + sqrt(272))))*4. -12*sqrt(17) + 120 Simplify (2*6*(sqrt(15)/(sqrt(9)/(2*sqrt(3)))*-5 + -2))**2. 5760*sqrt(5) + 72576 Simplify 5*(2 + sqrt(171) + sqrt(171) + 2) + 2. 22 + 30*sqrt(19) Simplify ((-1*(sqrt(95)*-1 - sqrt(95)) - sqrt(95))/(sqrt(5) - sqrt(80)*-6))**2 + 3. 1894/625 Simplify (sqrt(2700) + sqrt(2700)*-1)/sqrt(9) + (sqrt(12) - -4*(sqrt(192))**2) + 0. 2*sqrt(3) + 768 Simplify (sqrt(1584)*2 + 1 + -4 + -3)**2*-4. -25488 + 1152*sqrt(11) Simplify 4*(4 + -1*1*sqrt(275)) + -5. -20*sqrt(11) + 11 Simplify (sqrt(18) + sqrt(72)/sqrt(4)*-1 + (sqrt(198) - sqrt(198)*-1)/sqrt(11))/(-2*sqrt(900)*-2 + sqrt(900)). sqrt(2)/25 Simplify 1*(6*(sqrt(612) - (sqrt(612) + -1 + -3)))**2. 576 Simplify (2 + 5 + (-1 + -3 + 2 + sqrt(7))*-5)**2. -170*sqrt(7) + 464 Simplify (-1 + (sqrt(10)/sqrt(5))**2 + (sqrt(40)/sqrt(4))/sqrt(5) + -3)*6 + 5. -7 + 6*sqrt(2) Simplify (((sqrt(45) + sqrt(5445) + sqrt(5445)*-1)/(-3*sqrt(144)))**2 + -1)*-4. 139/36 Simplify (sqrt(7623) - 3*sqrt(7623)*-5)**2 + 0. 1951488 Simplify ((0 + sqrt(847) + 0 + sqrt(847) + sqrt(847) - (sqrt(847) + (sqrt(847) - (-4 + 2*sqrt(847))))) + -1)**2*-5. -38240 + 1650*sqrt(7) Simplify -2*((-5*sqrt(200)*2)**2 - (-3 + sqrt(200) + 4 + sqrt(200))**2). -38398 + 80*sqrt(2) Simplify 4 + (4*sqrt(156)*1 + sqrt(156))/(sqrt(768) + sqrt(768)*2). 5*sqrt(13)/24 + 4 Simplify (-1 + sqrt(180) + 1 - sqrt(180))**2 - (1 + 1*sqrt(5) - -2*(sqrt(20)/sqrt(4))**2). -11 - sqrt(5) Simplify ((sqrt(99)*1)**2*6 - -6*5*(sqrt(11) + sqrt(11) + 0)) + 1. 60*sqrt(11) + 595 Simplify ((3 + -2 + -1 + sqrt(1008)*-1)*2)**2. 4032 Simplify (sqrt(102)*2*4 + (sqrt(102) - (sqrt(102) + sqrt(102) + -2*sqrt(102)*-4)))/(-4*sqrt(108)/sqrt(2)). sqrt(17)/12 Simplify (sqrt(84)/(sqrt(16)/(-2*sqrt(4) - sqrt(4))))/(-6*((sqrt(300) - sqrt(300)*3) + sqrt(300) - sqrt(300)) + sqrt(300)). -3*sqrt(7)/130 Simplify -1 + (((-2*sqrt(1088) + sqrt(1088) + sqrt(1088))*-6 - (4 + sqrt(1088) + -2 + sqrt(1088)))*-4)**2. 1024*sqrt(17) + 69695 Simplify (-2*sqrt(110)*-2 + sqrt(110))/(-1*sqrt(90)) + 3. -5*sqrt(11)/3 + 3 Simplify -4*(1*4*4*sqrt(405))**2. -414720 Simplify 6*-1*((sqrt(336) + (sqrt(336) - (sqrt(336) + sqrt(336)*-2))*-3 + sqrt(336))/(sqrt(28) + sqrt(112)))**2. -128 Simplify 3 + (-5*(sqrt(2016) - 2*sqrt(2016)))/((sqrt(32) - sqrt(512))/sqrt(4) - (sqrt(392) - (sqrt(392) + sqrt(392)*-2))). -30*sqrt(7)/17 + 3 Simplify -5*((sqrt(567) + -1)*-4)**2 - (-2*sqrt(567)*-2 + ((sqrt(567) + 0 + sqrt(567))*6)**2). -127088 + 1404*sqrt(7) Simplify (5*(5 + -1*sqrt(2448) + ((sqrt(2448) + 1 - sqrt(2448)) + 2 - sqrt(2448)) - (sqrt(2448)*1*1 - (4 + (sqrt(2448) - (sqrt(2448) + -1))))))**2. -23400*sqrt(17) + 555025 Simplify (sqrt(1800) - (sqrt(1800) - (3*sqrt(1800) - sqrt(1800))))/sqrt(10) - ((sqrt(5) - (sqrt(500) + (sqrt(500) - (2 + sqrt(500)))))*2)**2. -1636 + 156*sqrt(5) Simplify sqrt(68)/((sqrt(4)*2 + sqrt(4))*3) + sqrt(68)/sqrt(4) + -3 + sqrt(119)/(sqrt(28)/sqrt(4)). -3 + 19*sqrt(17)/9 Simplify (sqrt(280)/(-2*sqrt(10)) + sqrt(112)/sqrt(4)*-1)/((sqrt(144) + (sqrt(144)*2 - sqrt(144)))*-1). sqrt(7)/8 Simplify (-3 + sqrt(539) + 0)**2 + sqrt(539) + -5 + (sqrt(539) + -2)**2 + sqrt(539) + (sqrt(539) - (sqrt(539) + -1)*-5) + 1. -14*sqrt(11) + 1082 Simplify (-4*(sqrt(228) + 5*(sqrt(228) + sqrt(228)*-4 + sqrt(228) + sqrt(228))))/(-2*(4*sqrt(132))/sqrt(11)). -2*sqrt(19) Simplify 3 + (sqrt(11) + (sqrt(11)*1 - sqrt(11))**2*5 - ((sqrt(11) - (2 + sqrt(275))) + sqrt(11))) + -4. 1 + 4*sqrt(11) Simplify ((sqrt(104)*-2 + sqrt(104))/sqrt(8) - (1 + sqrt(1300)) - (sqrt(325)*2 + sqrt(325))*2)**2. 82*sqrt(13) + 21854 Simplify (5 + (-3*(sqrt(252) + -1))**2 - (2*(1 + sqrt(252) + 1))**2)*-6. -7548 + 1224*sqrt(7) Simplify sqrt(204)/((sqrt(108) - (sqrt(108) - sqrt(108)*1))/sqrt(9)) + (sqrt(34)/(sqrt(6)/sqrt(3)))**2*6. sqrt(17) + 102 Simplify (4 + 6*-2*sqrt(500) - (sqrt(500)*1 + 3 + -3))**2. -1040*sqrt(5) + 84516 Simplify ((-1 + sqrt(76)*-2 - (sqrt(76) - (sqrt(76) + 1 + -2)))*-3)**2. 144*sqrt(19) + 2772 Simplify (-3*-4*sqrt(33)/(-6*sqrt(12)/sqrt(4) - sqrt(3)))**2. 1584/49 Simplify -5 + sqrt(57)/(4*sqrt(48)) + -4 + (sqrt(2736)*2 - sqrt(2736))**2*-4. -10953 + sqrt(19)/16 Simplify (-5 + sqrt(7) + (sqrt(63) + sqrt(567) - sqrt(63)) + (sqrt(84)/sqrt(3) - sqrt(7)))**2 - ((2*sqrt(504))/sqrt(9))/(sqrt(32)*-4). -439*sqrt(7)/4 + 872 Simplify -1*((sqrt(95)*-2)/sqrt(5) + (sqrt(228) + sqrt(228)*-1 + sqrt(228))/sqrt(12))*-5. -5*sqrt(19) Simplify -1 + (3 + 0 + sqrt(11) + 4)**2 + sqrt(55)/sqrt(20) + 4 + -3 + sqrt(11). 31*sqrt(11)/2 + 60 Simplify (0 + sqrt(1573) - (-1 + sqrt(13) + 5))**2 + (sqrt(1872) - ((sqrt(1872) - (1 + sqrt(1872)))**2 + sqrt(1872) + 4)). -80*sqrt(13) + 1311 Simplify (sqrt(520)/(-1*sqrt(10)) + sqrt(52) - (sqrt(5200)*-2 - sqrt(52)))/(-6*(-1*sqrt(256) - sqrt(256))). 7*sqrt(13)/32 Simplify (2 + ((-1*sqrt(76))**2 - (sqrt(171) + 1)))*-6. -462 + 18*sqrt(19) Simplify -1 + 6*((-1*(-1 + sqrt(539))**2 - sqrt(539)) + (1 + sqrt(539))**2*-5). -19441 - 378*sqrt(11) Simplify ((sqrt(99) + sqrt(99)*-2*1 - sqrt(99)*1*-2)/((sqrt(81) - sqrt(81)*-1*5) + sqrt(81)))**2. 11/441 Simplify (6*sqrt(105)/sqrt(3) + (sqrt(35) - sqrt(2240)*1))/((sqrt(7) - sqrt(49)/(sqrt(7) - sqrt(28))) + 1*sqrt(175)). -sqrt(5)/7 Simplify -6*(-1 + ((sqrt(475)*-4)**2*3 - sqrt(475))). -136794 + 30*sqrt(19) Simplify ((-2*sqrt(143)*-3 + sqrt(143) - -3*(sqrt(143) - (sqrt(143) + -2*sqrt(143))))/(sqrt(33)/(sqrt(363)*2)))**2 + 4. 1063352 Simplify (0 + sqrt(252) + (sqrt(252) - sqrt(252)*-2) + 5 + 2)**2. 336*sqrt(7) + 4081 Simplify (sqrt(175) + 1)**2*4 + -1 - (-3 + 6*sqrt(175)*2). -20*sqrt(7) + 706 Simplify -1*(1*sqrt(63)*1 + -4*(sqrt(315)/sqrt(5))**2). -3*sqrt(7) + 252 Simplify 5 + (sqrt(624)*1)/(3*sqrt(300) - sqrt(300)). sqrt(13)/5 + 5 Simplify (sqrt(13)*-4*-1 + -1)**2 + ((5*sqrt(325) - sqrt(13))**2 - sqrt(13)) + (sqrt(1053)*2 - sqrt(1053))**2. -9*sqrt(13) + 8750 Simplify 3 + ((sqrt(320) - (sqrt(320) + 0)) + sqrt(320) + 5)**2 + 1*sqrt(320)*-1*5. 40*sqrt(5) + 348 Simplify (4*sqrt(144)/sqrt(4)*-1)/(sqrt(60)/(sqrt(35)/sqrt(63))) + 2. -4*sqrt(3)/3 + 2 Simplify ((-3*(sqrt(190) - (sqrt(190) - 2*sqrt(190) - sqrt(190))))/sqrt(10) + 1*-1*(1 + sqrt(19)))*-5. 5 + 50*sqrt(19) Simplify ((-4*(sqrt(76)*2 - sqrt(76) - sqrt(76)))/(2*sqrt(484))*-4)**2. 0 Simplify (((sqrt(468) - -3*sqrt(468)) + 5 + (sqrt(468) - (sqrt(468) - sqrt(468)*3))*-2 + 1)*1)**2. -144*sqrt(13) + 1908 Simplify (-6*-5*(sqrt(2299) + 2 + -2))**2 + -1. 2069099 Simplify sqrt(4)/(sqrt(2)*-1)*-6 - (sqrt(242) + -2 + sqrt(242))*-6. -12 + 138*sqrt(2) Simplify (6*sqrt(70)*-4)/(sqrt(10) + sqrt(60)/(sqrt(6) + sqrt(18)/sqrt(3) + sqrt(6) + sqrt(6))). -96*sqrt(7)/5 Simplify (((sqrt(1053)*1 - sqrt(1053))*-3 - ((sqrt(1053) - (sqrt(1053) + -1)) + 5)) + -5)**2. 121 Simplify 3 + sqrt(1008)*-1 + 1 + 4. -12*sqrt(7) + 8 Simplify ((sqrt(324) - -3*sqrt(324)*-1)/sqrt(12))/(-1*sqrt(9)*1*-3). -2*sqrt(3)/3 Simplify (5*(sqrt(45) - sqrt(225)/sqrt(5)))/(sqrt(
{ "pile_set_name": "DM Mathematics" }
t p(b) = b**3 - 4*b**2 - 31*b - 6. Let f(l) = l**2 + 5*l + 1. Give -5*f(o) - p(o). -o**3 - o**2 + 6*o + 1 Let y(v) = 7*v**2 + 3*v - 3. Let z(c) = -3*c**2 + 2*c**2 + 10 - c - 11. Let a(m) = y(m) + z(m). Let s(k) = -7*k**2 - 2*k + 5. Determine 6*a(x) + 5*s(x). x**2 + 2*x + 1 Let f(h) = h**2 + 3*h + 1. Let a be f(-2). Let q(y) = -1. Let j(z) = -3. Suppose -1 = -3*d + 2*d. Let k(t) = d*j(t) - 4*q(t). Let w(s) = -s. Give a*k(p) - w(p). p - 1 Let c be (-24)/44 - (-936)/264. Let d(g) = -12*g - 5. Let n(p) = 12*p + 4. What is c*d(l) + 4*n(l)? 12*l + 1 Let w = 630 + -627. Let p(t) = 5*t**3 - 14. Let g(z) = -11*z**3 + 29. Determine w*g(h) + 7*p(h). 2*h**3 - 11 Let r(f) = -5*f + 1. Let j(c) = -4*c + 9. Determine -j(k) + 6*r(k). -26*k - 3 Let q(o) = 3*o**3 - 224*o**2 - 20*o - 3. Let w(x) = -x**3 + 75*x**2 + 7*x + 1. What is -6*q(s) - 17*w(s)? -s**3 + 69*s**2 + s + 1 Let x(i) = -i. Let g = -150 - -149. Let c(m) = 2*m**2 + 3*m + 1. Determine g*c(v) - 2*x(v). -2*v**2 - v - 1 Let x(v) = -14*v**2 - 4*v + 1. Let k(y) = 15*y**2 + 4*y - 2. Determine -2*k(z) - 3*x(z). 12*z**2 + 4*z + 1 Let o(s) = -7*s**3 - 4*s**2 - 4*s. Let n(k) = -6*k**3 - 5*k**2 - 5*k. Let i be -3*(352/33 - 9). Calculate i*o(m) + 4*n(m). 11*m**3 Let d(p) = p + 1. Let h(r) = -r**2 - 34*r + 36. Let o be h(-35). Let v(k) = -10*k - 10. Let g be (16/10)/(2/10). Determine g*d(n) + o*v(n). -2*n - 2 Let f(j) = -5*j**2 + j - 4. Suppose 9*b - 16 - 47 = 0. Let x(s) = -s**2 + s. Let o(n) = 3*n**2 + 5*n + 7. Let q(a) = o(a) - 6*x(a). What is b*f(h) + 4*q(h)? h**2 + 3*h Let m(x) = -6*x + 16. Suppose 5*w = 2*d - d + 5, -3*d = -2*w - 11. Let i = 18 - w. Let r(t) = 2*t - 5. Calculate i*r(f) + 5*m(f). 2*f Let t(c) = 338*c**3 - 19*c**2 + 6*c + 4. Let w(b) = b**3 - 3*b**2 + b + 1. Calculate -t(y) + 6*w(y). -332*y**3 + y**2 + 2 Let o(r) = 25*r**3 + 4*r**2 + 8*r - 4. Let s(q) = -399*q**3 - 63*q**2 - 126*q + 63. What is 63*o(u) + 4*s(u)? -21*u**3 Suppose 4*s - 2*a + 3*a + 45 = 0, -5*s - 55 = a. Let g(z) be the first derivative of 3*z**2/2 + 2*z - 11. Let k(d) = 7*d + 5. What is s*g(y) + 4*k(y)? -2*y Let r(f) = 3*f**3 + 3*f**2 - 157*f - 5. Let q(o) = -o**3 - o**2 + 79*o + 2. Give 5*q(m) + 2*r(m). m**3 + m**2 + 81*m Let w(a) = a**2 - 2*a - 1. Let b(z) = -35*z**3 - 3*z**2 + 4*z + 2. Determine -b(l) - 2*w(l). 35*l**3 + l**2 Let l(i) = 2*i**2 + 5*i + 1. Let f(z) = -10 - 4*z**2 + z**2 - 5*z + 0*z**2 + 17 - 8. What is 4*f(x) + 5*l(x)? -2*x**2 + 5*x + 1 Let f(x) = -34*x + 3. Let v(o) = -98*o + 10. What is -14*f(w) + 5*v(w)? -14*w + 8 Let q(b) = -b**2 + b. Suppose 2*x - 4*x + 10 = -2*v, 2*x - 13 = 3*v. Let j(r) = -7*r**2 + 11*r. Calculate x*j(p) - 22*q(p). 8*p**2 Let c(p) = 9*p - 7. Let g = 725 + -714. Let a(j) = -5*j + 4. Calculate g*a(y) + 6*c(y). -y + 2 Let b = -62 + 68. Let u(d) = 2*d + 3. Suppose 0 = -y + 4*v - 9, -14 = 2*y + v - 5*v. Let n(f) = 2*f + 4. What is b*u(o) + y*n(o)? 2*o - 2 Let n(c) = -3*c**3 + c**2 - 3*c + 2. Let u(x) be the second derivative of 7*x**5/20 - x**4/4 + 7*x**3/6 - 5*x**2/2 - 58*x. Determine -5*n(q) - 2*u(q). q**3 + q**2 + q Let f(a) = -5*a**3 - 5*a**2 + 2*a + 2. Let i(b) = 15*b**3 + 15*b**2 - 7*b - 8. Calculate 7*f(l) + 2*i(l). -5*l**3 - 5*l**2 - 2 Let m(h) = h**2 - h + 1. Let r = 85 - 81. Let s(v) = -5*v**2 + 3*v - 2. Let x(l) = l**2 - l - 1. Let t be x(2). Determine r*m(w) + t*s(w). -w**2 - w + 2 Let d(q) = -2684*q - 13. Let n(l) = 445*l + 2. What is 6*d(w) + 39*n(w)? 1251*w Let n(m) = m**3 - 6*m. Let x be 189/18*12/2. Suppose -5*c - 5*a - x - 97 = 0, -3*c + 4*a = 117. Let u(w) = 5*w**3 - 35*w. Determine c*n(j) + 6*u(j). -5*j**3 Let z(v) = -196*v - 6. Let u(h) = -97*h - 2. Determine 5*u(g) - 2*z(g). -93*g + 2 Let x(u) = -25*u + 15*u + 8*u - 3*u**2 + 2*u**3 - 1. Let f be 1 + 4/(-3 - -7). Let z(m) = -6*m - 2 - 5*m**f + 3*m + 0*m + 3*m**3. Calculate -5*x(k) + 3*z(k). -k**3 + k - 1 Let v(u) = -3440*u**3 - 4300*u**2 - 4300*u. Let h(d) = d**3 + d**2 + d. Determine -4300*h(q) - v(q). -860*q**3 Let m(a) be the second derivative of a**3/2 - a**2/2 - 3*a. Let s(w) = w - 1. Let h = 103 - 102. Calculate h*m(p) - 2*s(p). p + 1 Let o = 421 + -429. Let f(y) = -y**2 + y + 1. Let x(i) = 4*i + 4. What is o*f(l) + 2*x(l)? 8*l**2 Let j(v) = -2*v**2 - v + 3. Let t(s) = -s**2 + 13*s. Let n(k) = -2*k**2 + 28*k. Let b(a) = 6*n(a) - 13*t(a). Give -b(m) - j(m). m**2 + 2*m - 3 Let t(x) = x**2 - x. Let h be ((-4)/6)/((-8)/12). Let u(c) be the second derivative of -c**5/20 + c**4/2 - c**3 + 10*c - 5. Give h*u(k) - 6*t(k). -k**3 Let w(o) = -1. Let k(u) = -4*u**2 + 2*u + 4. Suppose -5 = 4*a - 3*m + 5, 0 = -3*a - 5*m - 22. Let j be (-1)/3*(-2 + 5). Calculate a*w(n) + j*k(n). 4*n**2 - 2*n Let v(u) = -12*u**2 - 7*u - 42. Let z(t) = 2*t**2 + t - 1. What is v(s) + 5*z(s)? -2*s**2 - 2*s - 47 Let k(s) = -85*s**3 - 2*s + 1. Let i(r) = -170*r**3 - 5*r + 3. What is 2*i(n) - 5*k(n)? 85*n**3 + 1 Let r be -1 + 7 + (5 - 2 - 3). Let g(w) be the third derivative of -w**4/24 + 32*w**2. Let l(q) = -5*q - 3. Give r*g(b) - l(b). -b + 3 Let u(k) = -k**2 + 7*k + 6. Let v(n) be the third derivative of n**5/60 - n**4/4 - 5*n**3/6 - 2*n**2. Suppose 0 = -26*r + 28*r - 10. Determine r*v(f) + 4*u(f). f**2 - 2*f - 1 Let c(n) = n**2 + 4*n - 2. Let z(t) = -t**2 - 3*t + 2. Give -3*c(h) - 4*z(h). h**2 - 2 Let r(f) = 4*f - 1. Let o(z) = 22*z - 490. Calculate -o(i) + 5*r(i). -2*i + 485 Let t(w) = -w - 1. Let v(l) = -32*l**2 - 6*l - 3. Determine 3*t(r) - v(r). 32*r**2 + 3*r Let c = -1152 + 1156. Let m(i) = -5*i + 3. Let k(g) = -6*g + 4. Determine c*k(n) - 5*m(n). n + 1 Let a(p) = 11*p**2 + 22*p + 59. Let k(t) = 2*t**2 + 4*t + 10. What is 6*a(n) - 34*k(n)? -2*n**2 - 4*n + 14 Let m(l) = -19*l**3 - 8*l**2 + 9*l + 2. Let k(c) = 9*c**3 + 4*c**2 - 5*c - 1. Give 5*k(r) + 3*m(r). -12*r**3 - 4*r**2 + 2*r + 1 Let u(s) be the third derivative of 7*s**4/24 - 5*s**3/6 - 519*s**2. Let l(b) = -13*b + 9. Give -6*l(q) - 11*u(q). q + 1 Let z(f) = 5*f**3 + 7*f**2 - 41*f + 52. Let y(u) = 2*u**3 + 3*u**2 - 20*u + 25. Determine -7*y(h) + 3*z(h). h**3 + 17*h - 19 Let n(a) = -419*a + 7. Let m(g) = 210*g - 4. Determine 5*m(r) + 3*n(r). -207*r + 1 Let w(x) = -78*x + 24. Let c(r) = -1. What is 72*c(l) + 3*w(l)? -234*l Let j(o) = 54*o - 2. Let h(k) = 307*k - 12. Give 6*h(g) - 34*j(g). 6*g - 4 Suppose 4*s = 10*w - 9*w - 1, -4*w + 25 = 5*s. Let x(l) = -1. Let j(v) = 2*v - 2. Calculate s*j(t) - 2*x(t). 2*t Let g(o) be the first derivative of o**4 - 7*o + 1. Let l(r) = 6 - 4*r**3 + 4*r**2 + r**3 + 2*r**2 - 6*r**2. Suppose -m + 5 = -0*m. Give m*g(b) + 6*l(b). 2*b**3 + 1 Let a(m) = 10*m**2 - 8*m**2 + 18*m**2 + 10 - 4*m - 4*m + 3*m. Let f(k) = -4*k**2 + k - 2. Determine -2*a(o) - 11*f(o). 4*o**2 - o + 2 Let n(g) = 27*g**2 - 8*g + 174. Let b(p) = 10*p**2 - 3*p + 58. What is -8*b(x) + 3*n(x)? x**2 + 58 Let o(z) = -12*z**2 - 5*z. Let r(n) = 11*n**2 - 7*n. Let b(d) = -2*d**2 + d. Let s(l) = 6*b(l) + r(l). What is -o(x) + 5*s(x)? 7*x**2 Let i(s) = -8*s - 5. Let r(j) = 17*j + 10. Let d(k) = -5*i(k) - 2*r(k). Let a(b) = 5*b + 5. Determine 4*a(q) - 3*d(q). 2*q + 5 Let h(f) = 14*f**3 - 6*f**2 - 2*f + 8. Let t(w) = -2*w**3 - w**2 - w + 1. Calculate h(s) - 6*t(s). 26*s**3 + 4*s + 2 Let l be (-21)/12 + 3/4. Suppose 2*x = 77 - 69. Let b(p) = 5*p**2 - 4*p - 4. Let z(g) = g**2 - g - 1. Give l*b(c) + x*z(c). -c**2 Let t = 1861 + -1869. Let c(s) = -3 + 6 - 2*s - 2*s**2 - 3*s**2. Let n(w) = 14*w**2 + 6*w - 8. What is t*c(g) - 3*n(g)? -2*g**2 - 2*g Let t(w) = -3*w**2 - 133*w + 8. Let y(b) = b**2 - b - 2. Determine -t(r) - 4*y(r). -r**2 + 137*r Let v(s) = 6*s. Let u be (-58)/(-6) + 2/6. Suppose u = -5*m + 5. Let w(l) = -l. What is m*v(d) - 4*w(d)? -2*d Let v(t) = 19*t**2 + 12*t + 6. Let y(w) = w**2 + 3*w + 1. Determine v(a) - 4*y(a). 15*a**2 + 2 Let r(g) = -11*g. Let z(o) = -4*o. Let f(k) = -3*r(k) + 8*z(k). Let t(p) = -3*p + 1. Let x = -5 - 4. Let i = -5 - x. Give i*f(j) + t(j). j + 1 Let r(n) = -3*n**2 + 2. Suppose 5*q - 2*f - 2*f = -38, 0 = 5*q - f + 32. Let v(p) = 9*p**2 - 25*p**2 + 13*p**2 + 9 - 7. What is q*v(b) + 5*r(b)? 3*b**2 - 2 Let h(x) = -6*x**2 - 11*x - 3. Let a(y) = 5*y**2 + 10*y + 1. Give 4*a(q) + 3*h(q). 2*q**2 + 7*q - 5 Let x(u) = -5*u**2 - 8*u + 6. Let s(v) = 5*v**2 + 7*v - 5. Let b(t) = 3*s(t) + 4*x(t). Let a(w) = -2*w**2 - 5*w + 4. Let i = -21 - -25. What is i*b(c) - 9*a(c)? -2*c**2 + c L
{ "pile_set_name": "DM Mathematics" }
s of 4890469964? 2, 19, 509, 126421 What are the prime factors of 24165405? 3, 5, 11, 16273 What are the prime factors of 518650702? 2, 6529, 39719 List the prime factors of 34119209. 1201, 28409 What are the prime factors of 1460895266? 2, 47, 15541439 List the prime factors of 122599405. 5, 24519881 What are the prime factors of 66413262? 2, 3, 61, 181457 List the prime factors of 3381070. 2, 5, 7, 11, 4391 What are the prime factors of 6228617? 37, 71, 2371 List the prime factors of 152683786. 2, 76341893 What are the prime factors of 486733262? 2, 113, 193, 11159 What are the prime factors of 620515438? 2, 310257719 List the prime factors of 5496732. 2, 3, 179, 853 What are the prime factors of 145394739? 3, 7, 43, 191, 281 What are the prime factors of 3875446469? 3875446469 What are the prime factors of 68407126? 2, 34203563 List the prime factors of 205510705. 5, 17, 2417773 List the prime factors of 925139984. 2, 57821249 List the prime factors of 3367206044. 2, 11351, 74161 List the prime factors of 800053704. 2, 3, 31, 358447 What are the prime factors of 914705987? 13, 73, 963863 List the prime factors of 131057965. 5, 113, 231961 List the prime factors of 175230260. 2, 5, 179, 48947 List the prime factors of 3226720220. 2, 5, 19, 8491369 What are the prime factors of 655468? 2, 11, 14897 List the prime factors of 35599117. 35599117 What are the prime factors of 9454917? 3, 3151639 List the prime factors of 26327152. 2, 17, 151, 641 What are the prime factors of 1107481271? 13, 59, 1443913 List the prime factors of 134052077. 134052077 What are the prime factors of 115673598? 2, 3, 6426311 List the prime factors of 354128004. 2, 3, 19, 31, 293 List the prime factors of 5163842325. 3, 5, 19, 1223, 2963 What are the prime factors of 38019985? 5, 7603997 What are the prime factors of 2223238036? 2, 17, 31, 1054667 List the prime factors of 42854659. 269, 159311 List the prime factors of 18382685. 5, 239, 15383 List the prime factors of 99783574. 2, 11, 17, 266801 List the prime factors of 257630034. 2, 3, 42938339 List the prime factors of 47391907. 1039, 45613 List the prime factors of 3221597455. 5, 2539, 253769 What are the prime factors of 672153666? 2, 3, 223, 691, 727 List the prime factors of 71458557. 3, 23819519 What are the prime factors of 204085225? 5, 587, 13907 What are the prime factors of 107661589? 7, 109, 149, 947 What are the prime factors of 1997079561? 3, 1213, 182933 What are the prime factors of 2299246392? 2, 3, 19, 47, 71, 1511 What are the prime factors of 528319664? 2, 89, 577, 643 List the prime factors of 68955926. 2, 13, 2652151 What are the prime factors of 643287662? 2, 4603, 69877 What are the prime factors of 1204278? 2, 3, 200713 What are the prime factors of 211323005? 5, 17, 2486153 List the prime factors of 139509051. 3, 11, 151, 27997 What are the prime factors of 7173203? 19, 377537 List the prime factors of 2647290986. 2, 1323645493 What are the prime factors of 2727924438? 2, 3, 2027, 224299 List the prime factors of 289861816. 2, 36232727 List the prime factors of 4109123097. 3, 37, 47, 103, 2549 List the prime factors of 103105516. 2, 25776379 What are the prime factors of 808082525? 5, 211, 153191 List the prime factors of 85616590. 2, 5, 17, 73, 6899 List the prime factors of 482599622. 2, 211, 1143601 List the prime factors of 81248187. 3, 27082729 List the prime factors of 1686799972. 2, 11, 13, 2948951 List the prime factors of 137573321. 137573321 List the prime factors of 1232295920. 2, 5, 19, 683, 1187 What are the prime factors of 565852319? 19, 67, 337, 1319 What are the prime factors of 1594143924? 2, 3, 17, 73, 167, 641 List the prime factors of 4228189718. 2, 2114094859 List the prime factors of 2087881134. 2, 3, 4721, 73709 List the prime factors of 2300916161. 47, 59, 829757 List the prime factors of 38934745. 5, 23, 338563 What are the prime factors of 46672729? 113, 413033 What are the prime factors of 71812845? 3, 5, 13, 17, 29, 83 List the prime factors of 154226745. 3, 5, 241, 14221 What are the prime factors of 930102509? 7, 67, 653, 3037 List the prime factors of 3863500861. 11, 351227351 What are the prime factors of 176326167? 3, 421, 139609 List the prime factors of 1105332393. 3, 11, 33494921 What are the prime factors of 167742106? 2, 7, 2069, 5791 List the prime factors of 115937186. 2, 29, 1998917 What are the prime factors of 1074512812? 2, 17, 79, 139, 1439 List the prime factors of 317208594. 2, 3, 23, 2298613 What are the prime factors of 328361414? 2, 61, 313, 8599 List the prime factors of 50987164. 2, 43, 296437 What are the prime factors of 201743391? 3, 373, 180289 What are the prime factors of 725704265? 5, 11, 13, 29, 31, 1129 List the prime factors of 136692259. 11, 127, 97847 List the prime factors of 1306371897. 3, 7219, 20107 What are the prime factors of 1060972416? 2, 3, 7, 41, 3209 List the prime factors of 152635417. 11, 19, 97, 7529 What are the prime factors of 788657926? 2, 7, 43, 1310063 List the prime factors of 317026576. 2, 557, 35573 List the prime factors of 33537867. 3, 11, 251, 4049 What are the prime factors of 663271917? 3, 7, 11, 1301, 2207 List the prime factors of 280069353. 3, 10372939 What are the prime factors of 4979998030? 2, 5, 7, 29, 2453201 What are the prime factors of 83711605? 5, 23, 31649 What are the prime factors of 86385480? 2, 3, 5, 191, 3769 What are the prime factors of 26725654? 2, 3389, 3943 List the prime factors of 287452719. 3, 131437 What are the prime factors of 768689798? 2, 563, 682673 What are the prime factors of 4059397734? 2, 3, 7, 17, 31, 241, 761 List the prime factors of 25151067. 3, 310507 What are the prime factors of 124037141? 1543, 80387 List the prime factors of 2888891747. 7, 23, 43, 18143 What are the prime factors of 94216759? 7, 13, 353, 419 What are the prime factors of 40411556? 2, 19, 531731 List the prime factors of 60548561. 60548561 List the prime factors of 78143831. 857, 91183 List the prime factors of 522435862. 2, 13, 233, 86239 List the prime factors of 5496918207. 3, 11, 313, 532183 List the prime factors of 329034254. 2, 164517127 List the prime factors of 251502722. 2, 59, 103, 20693 List the prime factors of 1496875403. 239, 2153, 2909 List the prime factors of 283130426. 2, 141565213 What are the prime factors of 758994539? 19, 449, 88969 What are the prime factors of 67090438? 2, 97, 173, 1999 List the prime factors of 1521053209. 13, 157, 745249 What are the prime factors of 102095003? 137, 251, 2969 List the prime factors of 131783989. 1291, 102079 List the prime factors of 22102658. 2, 11051329 What are the prime factors of 66734495? 5, 37, 43, 8389 What are the prime factors of 227682414? 2, 3, 31, 45337 List the prime factors of 3494670. 2, 3, 5, 19, 6131 What are the prime factors of 604480919? 7, 86354417 List the prime factors of 1808965949. 7, 53, 821, 5939 What are the prime factors of 1942045755? 3, 5, 13, 29, 26417 List the prime factors of 264070739. 37, 7137047 List the prime factors of 66866473. 31, 1373, 1571 List the prime factors of 329884250. 2, 5, 79, 16703 List the prime factors of 82055987. 13, 277, 22787 List the prime factors of 183705902. 2, 3271, 28081 List the prime factors of 379193737. 13, 43, 678343 What are the prime factors of 40438222? 2, 11, 1838101 What are the prime factors of 121482351? 3, 1201, 11239 What are the prime factors of 15084309? 3, 19, 264637 What are the prime factors of 167599360? 2, 5, 127, 1031 List the prime factors of 149017594. 2, 11, 6773527 What are the prime factors of 375779884? 2, 93944971 List the prime factors of 35872969. 11, 19, 171641 List the prime factors of 265891924. 2, 61, 997, 1093 What are the prime factors of 137122637? 137122637 List the prime factors of 2896360082. 2, 7, 11, 2053, 9161 List the prime factors of 250618007. 173, 1448659 What are the prime factors of 428077689? 3, 13, 823, 13337 List the prime factors of 1801441076. 2, 433, 1040093 List the prime factors of 46661881. 7, 113, 58991 List the prime factors of 83206664. 2, 10400833 What are the prime factors of 2250780407? 461, 4882387 List the prime factors of 35746670. 2, 5, 41, 87187 What are the prime factors of 4296260387? 42
{ "pile_set_name": "DM Mathematics" }
+ 26*n + 42. Let a be u(-27). Let j = a - 141/2. What is the nearest to 7 in -4, j, 1/2? 1/2 Let u = 28 - 30. Let x = 0.2985 + -0.1985. Let h = 5.4 + -5. What is the closest to 9 in u, h, x? h Let w = 74.5 - 75. Suppose 7 = 13*u - 6. What is the closest to u in -5/4, w, -1/5? -1/5 Let q = -5220 + 5215. Suppose -g + 7 = -3*n, 0 = -3*g + 3 - 0. What is the closest to 0 in n, -11, q? n Let l = 54.51 - 56.4. Let q = -1.49 - l. Let x = 0 - -0.1. What is the closest to x in -1/3, 5, q? q Let r = -4.4 - -4.3. Let u be -2 + ((-8)/18)/(3/(-12)). Let j be 2/(-10) + 9/(-5). Which is the closest to -5? (a) r (b) j (c) u b Let p be (-9108)/(-1089) + 2*-4. Let a be 3*(-1 + 5 + -3). What is the closest to p in -0.2, -0.4, a? -0.2 Let r = 0.0729 + -798.0729. Let q = 803 + r. Which is the nearest to 0.036? (a) 3 (b) q (c) -0.5 (d) 2/11 d Let t = -2870/2157 - 2/719. What is the closest to -2/13 in t, -2/17, 0.09? -2/17 Let h = 5491 + -1059761/193. Which is the nearest to h? (a) 0.3 (b) 2 (c) -7/5 a Let y be ((-78)/221)/(30/(-340)). What is the closest to 0 in y, 12, 0.5? 0.5 Suppose -u + j = -6*u + 30, 0 = u + 4*j - 25. Which is the nearest to -14? (a) u (b) 0.1 (c) 4 (d) -2/3 d Let p be (384/512)/(35/(-8) + 1). Let f = -14516459/82584 - -3/9176. Let o = -176 - f. Which is the closest to o? (a) p (b) 2 (c) -2/7 a Let h = 128 - 99.5. Let f = 29 - h. What is the nearest to -1 in f, 0.3, -3/2? -3/2 Let b be ((-852)/(-320))/(-5 - 104/(-16)). Let k = -1577/5 - -314. Let l = k + b. What is the closest to -3 in l, -1/9, 2/7? -1/9 Let k = 32.2 - 38. Let s = k - -6. What is the closest to s in -2/3, -6/5, 0.3? 0.3 Let h = -21 + 13. Let t = -1564 + 2869. Let y = t + -1305.1. Which is the closest to y? (a) h (b) 2/9 (c) -0.1 c Let f = 184/3 - 61. Let d = 1263 + -1264. Which is the nearest to -0.1? (a) d (b) f (c) -0.4 c Let s = 25241/3 - 8178. Let y = -236 + s. Let c = 0.04 - -2.96. What is the nearest to -0.1 in c, y, 0? 0 Let m = 2 + -1. Let k be m - (1 + 1)/(3/3). Let i be (-8)/28 - 36/(-77). Which is the closest to k? (a) i (b) -12 (c) 0 c Let g = -2.17081 - -0.07081. Let h(o) = o**2 - 7*o - 8. Let r be h(8). What is the closest to r in 2/5, 5/6, g? 2/5 Let h = -45.248 + 45.308. Let d = -2 - -1.8. Which is the closest to 1? (a) d (b) 2 (c) h c Let l be (-2 + -1 + 56/24)*-3. Let r be (-2 - 2) + 1 + l. What is the closest to -8 in r, 3/2, -0.1? r Let w = -0.4 + 7.2. Let x = 7.1 - w. Let o(v) = -v**2 + 2*v + 5. Let n be o(4). What is the closest to 2 in 2/9, n, x? x Suppose -28*q + 195 = -67*q. Which is the closest to 2? (a) q (b) -4 (c) 3 (d) -8.7 c Suppose -5*o - 3*s + 33 = 4, -3*s - 3 = -3*o. Suppose o*z - 174 + 57 = -5*u, -4*z - 108 = -4*u. Which is the nearest to -3? (a) 1 (b) 2 (c) u (d) -0.4 d Let i = -0.643 - -0.183. Let b = -6.46 - i. What is the closest to -2 in -2, b, 6? -2 Let h = -27.1 - 359.9. Let m = 388 + h. Which is the closest to -2/3? (a) 0 (b) -127 (c) m a Let t be ((-30)/9 - -4)*(-10)/(-20). Which is the nearest to t? (a) 0.15 (b) -8 (c) -3 (d) 1/3 d Let o = -1273 + 1277. Which is the nearest to -3? (a) 239 (b) -1 (c) o b Let n = 0.2476 - 11.2476. What is the closest to 2/3 in 0, -0.4, n, -4? 0 Let q = -43702 + 43702.2. Let j be 10/75*3/(-2). Let v = -27 + 187/7. What is the nearest to 1 in v, q, j? q Let p be ((-12)/(-9) - 0)*(-573)/(-2674). Which is the nearest to -13? (a) 3 (b) -4/3 (c) p (d) -17/4 d Suppose 63*r = 34*r + 29. Which is the nearest to 0? (a) -5 (b) r (c) 27 b Let r = 2.2 + -2.2. Let m = 0.2 - r. Let g be (5 - 0)*(-15)/(4500/(-24)). Which is the closest to 1/4? (a) g (b) m (c) 5 b Let d = 5725 - 5723. What is the closest to -2/3 in 22, 0.2, 2/19, d? 2/19 Let i = -0.130936 + -0.069064. Let l = -1 + -6. Which is the closest to 0.1? (a) 5 (b) i (c) 3 (d) l b Let q = 6427 + -6422. What is the closest to -9 in 1/3, q, -0.3, 1? -0.3 Let o be (104/(-702))/(180/162). Which is the nearest to 2? (a) 1 (b) -0.5 (c) -67 (d) o a Let p = 525/4 - 130. Let t(d) = -298*d - 11022. Let i be t(-37). Which is the nearest to 0? (a) i (b) p (c) 2/15 c Let x = -364.8 + 367.8. What is the closest to -0.1 in x, -3/4, -100? -3/4 Let k = 3.404 - -6.596. What is the closest to -21 in -0.3, k, -1, 0? -1 Let w = -208.8 + 209.4. Let f = -25/2 - -37/3. What is the closest to 0.1 in 14, w, -0.5, f? f Let j = -22134 - -22177. Which is the nearest to -1? (a) 0.1 (b) 6 (c) -0.1 (d) j c Let p = -4.87 + -117.13. Let y = p + 121.7. What is the closest to 1/3 in 2/11, y, -0.1, -1? 2/11 Let t = 2 - 2.4. Let x = -0.7 - t. Let k = -16781.1 - -16781. What is the closest to k in -4/7, x, 0.4? x Let x = -169 + 330. Let c = x + -1285/8. What is the nearest to -2 in -3, c, 0.4? -3 Let h = 2.6 + -2.9. Suppose -4*j - 16 = v, -2*j - 5*v = -2*v - 2. What is the closest to 0.1 in 2, h, j? h Let t = -2 - -1.9. Let q = 110148 - 110151. What is the closest to t in -0.07, 0.4, 2, q? -0.07 Suppose -y + 1654 = 4*w, 2*y - y + 2 = 0. Let u be (23/w)/(2/(-8)). Which is the nearest to u? (a) 2/9 (b) -3 (c) 3 a Let s(g) = g**3 - 22*g**2 + g - 12. Let p be s(22). Let z be (-25)/(-2)*4/p. Let j be (-9 - -5)/(-1)*1/z. Which is the nearest to 1? (a) -0.4 (b) 5/3 (c) j c Let a = -8.85 + 363.85. Let d = a + -354. Let z = -7.3 + 7. What is the nearest to 1/4 in 3/4, d, z? 3/4 Let l = 23934.8 + -23935. Let x = 0 + -5. Which is the closest to 29? (a) -2 (b) x (c) l c Let l be (2 - (2 + -2)) + 200/(-90). What is the closest to l in -1/4, 0.5, -0.3, -0.5? -1/4 Suppose -27743*v + 27719*v + 96 = 0. Let c(x) = 7*x - 3. Let u be c(7). What is the closest to 1 in 0, v, 5, u? 0 Let c = -0.2771 - -1.2771. What is the nearest to c in 3, 0, 18/13? 18/13 Let j = -8/557 + 581/1671. Which is the nearest to -1? (a) 0 (b) 2/11 (c) 2 (d) j a Let l = 0.2427 - -2.7573. What is the nearest to -3 in l, -4, 5? -4 Let p be (0 + 23)*-2 - 4/(-1). Let k be 3 + (-111)/39 - p/234. Which is the closest to 1? (a) -0.2 (b) k (c) -1 (d) 27 b Let g = -5215 - -5214.6. Which is the closest to 0.1? (a) -3 (b) g (c) -331 b Let p = -465 - -466. What is the closest to 0.2 in 10, -0.04, p? -0.04 Let d = 56 + -119. Let m = -61 - d. Which is the closest to m? (a) 0.5 (b) 0.3 (c) -3 a Let f = -2.83 - -3. Let i = 16.03 - 16.1. Let y = i + f. What is the nearest to y in 2, 7, -1/7? -1/7 Let a = -312 + 22. Let w be (-194)/a - (-63)/(-105). What is the closest to 0.1 in w, -3, 1/6? w Suppose 10 = -4*l - 2*h, -4*l - 4*h - 13 + 1 = 0. Let m = 7322 + -7319. What is the closest to -1 in 2, m, l? l Suppose -3 = -2*k + 4*a - a, 2*k - 1 = a. Let n = -0.1364 - -5.2284. Let s = 0.092 - n. What is the closest to 0 in k, 1, s? k Let y = 9.3 - 4.3. Let i = 2.4 + -30.4. Let w = -22 - i. Which is the nearest to 0.1? (a) w (b) 0.2 (c) y b Let g = 0.1 + -0.1. Let x = -253809 + 761425/3. What is the nearest to g in -1/7, -1/26, 4/5, x? -1/26 Let k = -3.2 + -0.8. Let z = -3 + 3. Let y = 19/1028 - -1999/3084. What is the closest to z in y, 0.2, k? 0.2 Let u = 140 + 72. Let z = u + -212.1. What is the nearest to z in -1, -2/15, -4/3? -2/15 Let u = -0.168 + 44.168. Let x = 39 - u. What is the closest to -2/3 in 0.1, 2, x? 0.1 Let k = 1.36 + 172.64. Let l = k + -174.2. What is the nearest to 0.4 in 2, l, 3? l Let y be 5/(-150)*184 + (-4)/(-30). Let i be 5 - y*(-6)/36. Which is the nearest to -2? (a) i (b) -3 (c) -2 c Let s be (-22)/176 + 1/(-4). Let a be (29/87)/((-8)/(-3)). Let r = s + a. What is the closest to r in 6, -3, 5? -3 Suppose -4*r + 4*k = -40, 5*k + 6 = 3*r - 18. Let i = 1.6 + -0.6. Let u = -18.75 + 18.45. Which is the nearest to i? (a) u (b) -3/4 (c) r a Let x = 13.45 - 8.45. Which is the nearest to 2/9? (a) 0 (b) x (c) -0.06 (d) 1 a Let v = -3481/26 - -1734/13. Which is the closest to 3? (a) -1 (b) 2/77 (c) v b Let o = 0.19581 + 9.90419. What is the nearest to 2/3 in 4, o, 5? 4 Let b be (1 + (-2)/(-4))*(-4)/10. What is the nearest to 0 in -1, 11, b, 57? b Let j = 19 - 5. Let w = -51277/2 - -25638. What is the closest to j in w, -4, -1/3? -1/3 Let k = -17241 - -17240. Let d = 1 + 4. What is the nearest to k in d, 1, 6? 1 Let t = -4458 - -4503. Which is the closest to t? (a) 1/2 (b) -2 (c) 12 (d) 4 c Let q = 66.25 + -66.29. Which is the nearest
{ "pile_set_name": "DM Mathematics" }
m(j) = 2*j**3 - 42*j**2 + 107*j + 19. Give m(x). 1 Let j = -71 + 31. Let z = j - -45. Let v(b) = 7 - z*b - 3*b**2 + 6*b**2 - 2*b**2. Determine v(5). 7 Let b(z) = -2*z**3 + 7*z**2 - 6*z + 4. Let k = -284 - -392. Suppose -101*h - 28 = -k*h. Give b(h). -36 Let i(u) be the second derivative of u**4/12 - 3*u**3/2 - 11*u**2/2 - 26*u. Let w = -132 - -140. Give i(w). -19 Let h(o) = -19*o**3 - 31*o**2 + 23*o - 26. Let v(l) = 6*l**3 + 9*l**2 - 8*l + 10. Let a(f) = -5*h(f) - 16*v(f). Calculate a(12). -18 Suppose o - 3 = 4. Let d(z) = 2*z + 2. Let w(b) = 5*b - 6 - 3 + 8 - 6*b. Let t(r) = 3*d(r) + 5*w(r). What is t(o)? 8 Let n = 157 + -145. Let j be (-18)/n*(-4)/(-3). Let m(s) = -2*s + 2. What is m(j)? 6 Let d(r) = -r**2 + r + 2. Let m be d(2). Let b(n) be the second derivative of n**4/12 - n**3/6 - 29*n**2/2 - 1047*n. Calculate b(m). -29 Let i(p) be the first derivative of 161 + 5/2*p**2 + 5*p + 1/4*p**4 + 4/3*p**3. What is i(-4)? -15 Suppose -4 = w, -w - 18 = 2*a - 0*w. Let q(l) be the third derivative of 1/120*l**6 + 2/15*l**5 + 0*l + 1/3*l**4 + 5/3*l**3 + 0 + 19*l**2. What is q(a)? 3 Let c(m) = -125*m - 500. Let k be c(-4). Let b(g) = 4*g**3 + g**2 - 2*g + 12. What is b(k)? 12 Let n be (-87)/(-27) - (-4)/(-18). Suppose -n*f - 21 = m + f, -5*m = -f. Let l be (3 + -11 - m) + 1. Let x(w) = w**2 + 8*w. Determine x(l). -12 Let j(g) be the second derivative of 5*g**3/3 - 113*g**2/2 - 13101*g. Calculate j(6). -53 Let k(r) = -r**3 - 13*r**2 + 46*r - 28. Suppose -j = -7*j - 96. Let g be k(j). Let f(p) = 2*p + 2. What is f(g)? 10 Let j(q) = -2*q + 40. Let x(r) = 7. Let z(d) = j(d) - 8*x(d). Determine z(-7). -2 Suppose 10*y + 461 + 449 = 0. Let p be ((-338)/y - 2/(-7))*1. Let u(k) = k**3 - 8*k**2 - 12*k + 10*k + 5 + 5*k - p*k. What is u(8)? -3 Let z(o) = 3*o - 1. Let p be 102 + -13 - (5 - 1). Let c be (p/20 - 4) + (-22)/(-8). Let u be (-4)/(-3)*(c/1 + -6). What is z(u)? -13 Let x(o) be the third derivative of o**6/120 - 2*o**5/3 - 43*o**4/24 + 41*o**3/3 - 4051*o**2. What is x(41)? 0 Let q(t) = 32*t + 21. Let f(h) = -14*h + 1. Let x(a) = 2*f(a) + q(a). Give x(-5). 3 Let k(y) = y + 9. Let h be (3/9)/((-19)/228). Let u(q) = -2*q - 11. Let t(p) = h*u(p) - 5*k(p). What is t(10)? 29 Let v be ((-156)/91)/((-10)/105). Let l(p) = -p**2 + 15*p + 15. Give l(v). -39 Let i = -11 - -6. Let z(r) = -2*r**2 - 3*r + 26. Let w be z(4). Let k be 1/2 + i/(20/w). Let y(h) = -h**3 + 5*h**2 + h - 3. Determine y(k). 2 Let z(r) be the second derivative of -r**5/20 + 7*r**4/6 + 5*r**3/2 - 5*r**2 + 480*r. Give z(15). -10 Let p(y) = -125*y - 34 - 145*y + 278*y. Determine p(6). 14 Let c(q) = 7*q - 33. Let t be (-8)/(-5) - (235/(-25) - (-27)/3). Calculate c(t). -19 Let q(o) = 10*o**2 + 10*o - 17. Let u be q(4). Let z = -172 + u. Let y(g) = g**2 - 9*g - 10. Give y(z). 12 Let l(a) = 16*a + 2. Let t(q) = -7*q - 3 + 4*q - 3*q - 6*q. Let b(u) = 4*l(u) + 5*t(u). Give b(5). 13 Let s = 598 + -598. Let t(b) = 5*b - 68. Give t(s). -68 Let f be (-1)/11 - 5313/(-2541). Let u(i) = -8*i**2 + 17*i. Give u(f). 2 Let c(k) = -50*k - 412. Let o(j) = 8*j + 69. Let z(t) = 6*c(t) + 37*o(t). What is z(23)? -11 Let x(y) be the second derivative of -y**5/20 + y**4/4 - y**3/2 - y**2 + y. Let v(r) = -2*r**3 + 7*r**2 + 11*r + 5. Let g be v(-1). Give x(g). -11 Let o be (-50)/(-24) + 318/(-3816). Let j(n) be the second derivative of 0 + 11/6*n**3 - 24*n - 1/2*n**o. Calculate j(2). 21 Let w(x) be the first derivative of -x**3/3 + 9*x**2/2 + 20*x + 3362. Determine w(-2). -2 Let j(m) = -269 - 9*m**2 + m**3 + 627 - 351 - 12*m. Let x = 16 + -6. Give j(x). -13 Suppose -3*t + 11 - 29 = 4*r, 0 = 3*t + 2*r + 6. Let c(g) = 2*g. Determine c(t). 4 Let z(k) = -14*k - 142. Let f(a) = 3*a + 28. Let h(i) = 22*f(i) + 4*z(i). Let w(b) = -7*b - 33. Let p(o) = -5*h(o) - 7*w(o). Give p(-4). -5 Let w(v) = 15*v + v**2 - 2*v**2 - 29*v - 2. Let x(j) = -78*j + 2328. Let p be x(30). Determine w(p). 22 Let b = -12785 - -12793. Let n(x) = x**2 + 14*x - 188. Calculate n(b). -12 Let n(l) = l**3 - 31*l**2 - 99*l + 1082. Let w be n(33). Let m(i) = i**2 + 11*i + 13. Determine m(w). -15 Let j(k) be the first derivative of k - 73 + 1/2*k**2. What is j(-8)? -7 Let u = 396 + -354. Let h(b) = 11*b - 9 + 26*b + 4 + b**2 - 5 - u*b. What is h(7)? 4 Suppose 2*y + 12 = 0, c - 20*y - 26 = -15*y. Let g be 4/(-18) + (-2)/(-9). Let o(i) = i**3 + g*i**3 + 2*i**2 - i - 1 - 5*i + 0. Give o(c). -9 Let k(i) = -4*i - 64*i**2 + 41*i**2 + 8 + i**3 - 2*i + 5*i - i. Give k(23). -38 Let x = 64 - 63. Let o(c) = 4*c**3 + 3*c**2 - c - 21. Let b(q) = q**3 + q**2 + 1. Let d(g) = x*o(g) - 3*b(g). What is d(0)? -24 Let g(s) = 4*s**2 - 47*s - 15. Suppose 0 = -85*h - 102 + 1122. Determine g(h). -3 Let d(j) = 17*j + 491. Suppose 22*m + 454 = -184. Calculate d(m). -2 Suppose -6*z + 2*z - 58 = 5*q, z = -7. Let g(n) be the first derivative of -n**4/4 - 2*n**3 + n**2/2 - 2. Determine g(q). -6 Let n(h) = -h**3 - 6*h**2 - h - 1. Suppose 1078 = 28*b + 1190. What is n(b)? -29 Let v(q) = 76*q - 237*q + 81*q - 7 + 20*q**2 + 82*q. What is v(2)? 77 Let c(l) = -179*l**2 + 6 - 7*l + 2*l - 121*l**2 + 306*l**2. Give c(2). 20 Let h(g) = g**3 + 6*g**2 - 9*g - 10. Let n be (4 + -2)/(-1)*-1 - 0. Suppose 0*v + 4 = n*v, -v = -z - 9. Calculate h(z). 4 Let l(t) be the first derivative of -t**4/2 + t**3/3 - 3*t**2 + t - 10682. Give l(4). -135 Let f(p) = -p**3 - 3*p**2 + 7*p + 6. Let o = 185 - 184. Let y(d) = -d**2 + d + 1. Let m(l) = o*f(l) - 3*y(l). Give m(-2). 3 Let r(a) = -a + 1. Let u(l) = -39*l + 30. Let y(k) = 8*k - 6. Let j(m) = -2*u(m) - 11*y(m). Let c(f) = -2*j(f) + 18*r(f). Let z = 63735 + -63739. What is c(z)? -2 Let h(m) = -m**2 + 144. Let q be h(0). Let f = -141 + q. Let s(n) = n**2 - 6*n + 2. Determine s(f). -7 Suppose 0 = 4*c + 3*f + 2913, -4*f + 584 = -5*c - 3065. Let d = c + 730. Let s(z) = 4*z**3 + 3*z**2 - 2. Determine s(d). 5 Let x(j) = -9 + 4*j**2 + 63*j + j**3 - 58*j + 3*j**2 + j**2. Let v(a) = -a**3 - 12*a**2 - 2*a - 12. Let q be v(-12). Suppose 0 = l - q + 19. Calculate x(l). 5 Let i(n) = -n**3 - 6*n**2 + 4*n + 5. Let b(s) = 3*s**2 + s + 312 - 2*s**2 - 311. Let a be b(-3). Suppose -c + 2*f + 3 - a = 0, 3*c = -3*f - 21. Calculate i(c). -19 Let d(s) = -111 + 13 - 23 - 7 - 17*s - 54. Determine d(-12). 22 Suppose -5*k - 35 = -5*u, -4*u + 21 = 5*k - 34. Let o(i) = -i**2 + 11*i - 13. Let r be o(u). Let z(t) = -5 + 0*t**3 + t**3 + 4*t - 8*t + t**2 + 4. What is z(r)? -7 Let y be -3 + 5 - (-4)/4. Let h(z) = 27*z**y + 27*z**3 - 1 + 2*z**2 - 4*z**2 - 52*z**3 + 3*z. What is h(2)? 13 Let s(u) = 10*u**2 - 5*u + 74. Let g(f) = 8*f**2 - 5*f + 54. Let o(z) = 4*g(z) - 3*s(z). Calculate o(-4). 46 Suppose 4*f = 2*i - 5 + 17, -3*i - 12 = 0. Let v(c) = 2*c**3 - 6*c**2 + 7*c - 2. Determine v(f). 1 Let k(j) be the third derivative of j**5/20 + 5*j**4/24 - j**3/3 - 1668*j**2. Calculate k(4). 66 Suppose 3*g + 6 + 3 = 0. Let u(h) = 13*h + 5 - 10*h + 7 + 8 - 19 + 3. Calculate u(g). -5 Let v(r) = -21*r - r**3 - r**2 + 2*r**3 + 23*r. Let m = 71 + -116. Let s = m - -47. Give v(s). 8 Let g(d) = 2*d**3 + 53*d**2 + 77*d + 55. Let p be g(-25). Let q(l) = -l**3 + 9*l**2 - 18*l - 5. Calculate q(p). 5 Let b(k) = 3*k**2 - 50*k + 701. Let j(r) = -2*r**2 + 33*r - 467. Let l(t) = 5*b(t) + 8*j(t). Let s(q) be the first derivative of l(q). What is s(4)? 6 Let n(f) = f - 9. Let z(k) = 14 + k**2 - 4*k**2 + 89*k - 102*k. Let w be z(-5). What is n(w)? -5 Let w(y) = -y + 1. Let z(c) = 4. Let r(g) = 2*w(g) - z(g). Let h = 221 + -539. Let s = h + 323. What is r(s)? -12 Let f(t) = t**3 + 6*t**2 + 7. Suppose -12*o + o = -66. Suppose -q + o*q + 7 = -2*s, -4*q = -4. What is f(s)? 7 Let c be 8/(-14) - (150/(-42) + 12). Let w(z) = z**3 + 8*z**2 - 10*z - 3. Determine w(c). 6 Let n(y) = y**3 - 5*y**2 + 7*y + 1. Suppose -30 = -5*d, 3*w - 5 = -2*d + 19. Calculate n(w). 13 Let b(s) = s**2 + 8*s. Suppose 2*k = -3*m - 9, 0*m - 5*m - 13 = 4*k. Suppose -k*g - 2*g = a + 99, -4*a + 5*g - 321 = 0. Let l = -90 - a. Give b(l). -12 Suppose 24*r - 72 - 48 = 0. Let d(j) = -j - r - 1 + 3 - 1. Give d(-7). 3 Let v = -259 + 260. Suppose -2 = o - 3. Let h be o/(0 + v) + 2 + 3. Let n(f) = -f**3 + 6*f**2 - 3*f + 8. Determine n(h). -10 Let w be 12/15 - (-14)/(700/110). Let g(d) = -d**2 - 16*d + 56. Give g(w). -1 Let b(y) = -2*y + 20. Let i be b(11). Let t(u) = u + 1.
{ "pile_set_name": "DM Mathematics" }
- 50748*b Find the second derivative of 7976151*l**5 - 744*l + 4993. 159523020*l**3 Find the second derivative of 2*h**2*p**2 + 26*h**2 - 4*h*p - 8401820*p**2 - 48080*p wrt p. 4*h**2 - 16803640 What is the derivative of -1601857*i**2 + 41111603 wrt i? -3203714*i What is the first derivative of 525361244*g**2 - 662153408 wrt g? 1050722488*g What is the third derivative of -190717451*c**6 - 23*c**2 - 5027334*c wrt c? -22886094120*c**3 What is the third derivative of 2331338*n**3 - 285334*n**2 - 3*n + 1? 13988028 Differentiate 2*k*s**2 - 9362322*k - 58698218*s**2 with respect to k. 2*s**2 - 9362322 What is the derivative of 416*g*v - 80894*g + 205489631*v - 1 wrt g? 416*v - 80894 Find the third derivative of 162553715*a**6 - 71420*a**2 + 2*a - 36 wrt a. 19506445800*a**3 What is the derivative of -7568948*a - 9991484? -7568948 Differentiate 20*b**3 + 9*b**2 + 11356*b - 564942359. 60*b**2 + 18*b + 11356 What is the second derivative of -104495508*o**4 + 597*o + 98841? -1253946096*o**2 Find the second derivative of -56646786*g**3 + 127638*g - 36. -339880716*g What is the third derivative of -256598360*d**3 - 54473*d**2 - 299*d wrt d? -1539590160 What is the second derivative of 395542990*a**2 - 743978193*a wrt a? 791085980 Find the first derivative of 364414229*o**2 - 26894619. 728828458*o Find the second derivative of -24769700*l**3*v**2 - 203*l**3 - l**2 - 2*l*v - 3313*v + 2 wrt v. -49539400*l**3 What is the second derivative of -f*s**3 - 14*f*s**2 - 3772*f*s - 3695*s**3 + 420*s**2 - 61041*s wrt s? -6*f*s - 28*f - 22170*s + 840 What is the second derivative of 184900180*c**2*f**3 + 2*c*f**3 + 10*c - 6*f**3 + 2964*f - 110 wrt c? 369800360*f**3 What is the second derivative of 3*x**4 - 130*x**3 - 9728*x**2 + 842766651*x? 36*x**2 - 780*x - 19456 What is the second derivative of 42835465*u**4 + 4083073*u wrt u? 514025580*u**2 Differentiate 3726*c**2 + 4*c*t**2 + t**2 - 238662 with respect to c. 7452*c + 4*t**2 Differentiate -28539449*c - 30354450 with respect to c. -28539449 What is the third derivative of 18*b**3*i**3 - 9*b**3*i - 33673*b**3 + 348*b**2*i**3 + 221*b**2*i + 15 wrt b? 108*i**3 - 54*i - 202038 Find the second derivative of 14515779*o**2 - 40634826*o wrt o. 29031558 What is the third derivative of -1424779515*q**5 - 14798*q**2 - 2352*q - 4 wrt q? -85486770900*q**2 Find the second derivative of -2*j**2*k**2*s**3 - 869*j**2*k + 18476070*j*k**3*s + 7*j*k*s**3 - 4*k*s**3 + 5*k - 2 wrt k. -4*j**2*s**3 + 110856420*j*k*s Find the third derivative of 3370*f*m**3 + 2*f*m**2 + 1723*f*m*x - 2*f*x**3 - 11*m**3*x**3 - 17*m**2*x**3 + m*x wrt m. 20220*f - 66*x**3 Find the first derivative of -85259560*g - 65211099. -85259560 Find the second derivative of -46266392*w**2*y**2 - 6*w**2*y - 38*w**2 - 49*w*y + w + 8*y + 3 wrt y. -92532784*w**2 What is the third derivative of 23*d**3*j**3 - d**3 + 25*d**2 + 178111*j**3 - 6425*j**2 wrt j? 138*d**3 + 1068666 Find the first derivative of 2*b**2*g - 156*b**2 - 314*b*g**2 - 1314*b*g - 45323*b - 2*g wrt g. 2*b**2 - 628*b*g - 1314*b - 2 What is the derivative of -a**2 - 41659061*a + 18716721? -2*a - 41659061 What is the first derivative of -5844142*x - 598865? -5844142 Find the third derivative of -28420*h**3*l**3*p + h**3*l**2*p + 3*h**3 - 28*h**2*l**2*p - 718*h*l**3*p + 2*h*l*p - h - 2*l + 96*p wrt l. -170520*h**3*p - 4308*h*p What is the third derivative of 2*k**4 - 15775859*k**3 - 358661*k**2 - 21*k? 48*k - 94655154 Find the third derivative of 128548*i*q**3 - 2*i*q**2 + 69*i*q - 31694*i - q**4 wrt q. 771288*i - 24*q What is the second derivative of -64207901*v**2 - 9328225*v - 2 wrt v? -128415802 Differentiate 464960916*m*y**3 - 837609724*m - 2*y with respect to y. 1394882748*m*y**2 - 2 What is the derivative of 691*j**2 + 120*j*t**2 + 83*j*t - 337*t**2 - 41115 wrt j? 1382*j + 120*t**2 + 83*t What is the third derivative of 916708*x**5 + x**4 + 3402842*x**2 + x? 55002480*x**2 + 24*x Differentiate 196883914*j**4 - 203320825 wrt j. 787535656*j**3 What is the third derivative of 1626743*j**3*r**3 + 2*j**3*r**2 - 7573069*j*r**2 wrt r? 9760458*j**3 What is the derivative of -18218*q**2 - 655*q + 14970662 wrt q? -36436*q - 655 Differentiate 43392*m**2*y - 1892*m**2 - 14*m + 168*y**3 + 5 wrt y. 43392*m**2 + 504*y**2 What is the second derivative of 10136*s**4 - s**3 + 878*s**2 + 20880095*s? 121632*s**2 - 6*s + 1756 Find the third derivative of -2*x**3*y**2 + x**3*y - 1838361*x**3 + 19*x**2*y - 147597*y**2 wrt x. -12*y**2 + 6*y - 11030166 Find the first derivative of 5507607*f**4*k**2 + f**4*k + 1955*k**2 - 15788 wrt f. 22030428*f**3*k**2 + 4*f**3*k Find the third derivative of -193121662*p**3 + p**2 - 7*p - 8081162. -1158729972 Find the third derivative of -d**6 - 147*d**5 + 17268*d**3 - 10977475*d**2 wrt d. -120*d**3 - 8820*d**2 + 103608 Find the first derivative of 452*z**4 - 2*z**2 + 901*z + 18862268. 1808*z**3 - 4*z + 901 What is the third derivative of -14917*i*j**3*n**3 - 4628374*i*j**2*n + 622*j**3*n**3 + j**2 + 3*n**3 wrt j? -89502*i*n**3 + 3732*n**3 Find the first derivative of -508941*g*q + 46*g + 414790786*q wrt g. -508941*q + 46 Find the third derivative of -2*m**6 - 62660*m**4 + 1021*m**2 + 13*m + 7. -240*m**3 - 1503840*m Differentiate 17*d**3 + 11328537*d*i**3 + 940237964*i**3 wrt d. 51*d**2 + 11328537*i**3 What is the third derivative of 591799664*x**3 - 100437178*x**2 + x - 2 wrt x? 3550797984 What is the derivative of -3250*d**3*o**2*r - 11*d**3*r + 14*d**3 + 218*o**2 + o*r*v - 12761*v wrt o? -6500*d**3*o*r + 436*o + r*v What is the third derivative of 3*i**5 - 287687*i**4 - 41958167*i**2? 180*i**2 - 6904488*i Find the third derivative of -117453752*i**3 + i**2 - 7495361*i wrt i. -704722512 Differentiate 174461*d**2*m**3 - 32*d**2*v**2 - 5*m**3*v**2 + 236*m**2*v + 10*m**2 - 2*v**2 with respect to d. 348922*d*m**3 - 64*d*v**2 What is the derivative of 8765*c**3 + 878*c**2 + 52382059 wrt c? 26295*c**2 + 1756*c What is the second derivative of 358233678*t**2 + 161010647*t? 716467356 Find the second derivative of -10*w**2*x**4*z + 2*w**2*x*z - 5707*w**2*x + 57*w**2*z - 429641*x**3*z wrt x. -120*w**2*x**2*z - 2577846*x*z What is the first derivative of 84976869*p**3 + 82120033? 254930607*p**2 Find the first derivative of -3*j**3*n + 71211899*j**3 + 1216673*j**2*n + 4*j*n wrt n. -3*j**3 + 1216673*j**2 + 4*j What is the second derivative of -158214946*m**2 + 322193765*m wrt m? -316429892 What is the second derivative of 6100855*i**2 + 13908904*i? 12201710 Find the second derivative of -120289718*d**3 + 158769829*d wrt d. -721738308*d Differentiate -324480058*l*w**3 - 215*w**3 + w**2 + 59115 wrt l. -324480058*w**3 What is the third derivative of -381320276*s**3 + 365570429*s**2 wrt s? -2287921656 Differentiate 2*d**2*m - 8744871*d*f*m - d*f + 1893830*f*m - 3*f + 2*m + 5 with respect to d. 4*d*m - 8744871*f*m - f Find the third derivative of 144*f**3*z**3 - 45*f**3*z**2 - 23*f**3*z - 256*f**3 + 34818*f*z**3 + f*z**2 wrt z. 864*f**3 + 208908*f What is the second derivative of -938*l**2*t**2 - 14393756*l**2*t - 2*l - 14101*t**4 wrt t? -1876*l**2 - 169212*t**2 What is the second derivative of -5*a**2*c**2*z**2 - 2*a**2*c*z - 2*a**2 - 93*a*c**2 - 829*a*c*z**2 + 268*c**2*z + 11*c*z**2 + 5*z wrt c? -10*a**2*z**2 - 186*a + 536*z Find the second derivative of -3105295*x*z**2 - 9717*x*z + 8*x + 25*z wrt z. -6210590*x Find the second derivative of 19328034*f**3*w**2 + 4*f**3*w + 263*f**3 + 5501*f*w wrt w. 38656068*f**3 Find the first derivative of -3*b**4 - 186137158*b**2 - 299731030. -12*b**3 - 372274316*b What is the third derivative of 82500246*s**3 + 166790051*s**2? 495001476 What is the third derivative of -487972673*m**3*r**3 + 3*m**3*r + 8*m**2*r - 183010*r**2 wrt r? -2927836038*m**3 What is the third derivative of 293523664*u**3 + 2612208*u**2 + 18 wrt u? 1761141984 What is the derivative of -4341*d**2 + 67*d*u**2 - u**2 + 233453 wrt d? -8682*d + 67*u**2 What is the second derivative of -9*d**3 + 165645*d**2 - 84586349*d wrt d? -54*d + 331290 Find the first derivative of -8582363*j**2 - 1947267. -17164726*j Find the second derivative of -57123*i**2*l - 107*i**2 + 12688*i*l - 3*i - 11*l + 3 wrt i. -114246*l - 214 What is the second derivative of 67572611*v**5 - 106115585*v? 1351452220*v**3 Find the first de
{ "pile_set_name": "DM Mathematics" }
st common divisor of 6 and 342246? 6 What is the greatest common factor of 510 and 61770? 30 Calculate the greatest common factor of 345 and 87078. 69 Calculate the highest common factor of 46 and 8. 2 What is the greatest common divisor of 573032 and 166? 166 What is the highest common divisor of 3281 and 1003? 17 Calculate the highest common divisor of 3392 and 3551. 53 What is the greatest common factor of 8725 and 5? 5 What is the greatest common divisor of 105 and 2775675? 105 Calculate the highest common divisor of 86597 and 21. 7 What is the highest common divisor of 18582 and 1311? 57 What is the greatest common divisor of 1350 and 5310? 90 Calculate the greatest common divisor of 66 and 129558. 66 What is the highest common divisor of 84 and 198444? 12 What is the highest common divisor of 161 and 50351? 7 What is the highest common factor of 2 and 298893? 1 What is the highest common divisor of 38380 and 41410? 1010 Calculate the highest common factor of 1950 and 5226. 78 What is the highest common factor of 9842 and 406? 14 What is the highest common factor of 1720 and 23134? 86 What is the highest common factor of 101455 and 45835? 515 What is the highest common factor of 22983 and 57? 3 Calculate the highest common divisor of 121114 and 2583. 287 What is the highest common divisor of 473957 and 121? 121 What is the highest common divisor of 66283 and 476? 119 Calculate the highest common factor of 275 and 434425. 25 What is the highest common factor of 219 and 1047? 3 What is the highest common divisor of 366 and 134444? 122 Calculate the greatest common divisor of 15376 and 10544. 16 Calculate the greatest common divisor of 1551 and 26508. 141 Calculate the greatest common factor of 846 and 97854. 282 What is the greatest common divisor of 266265 and 135? 45 What is the highest common divisor of 6 and 44106? 6 What is the greatest common factor of 31 and 52421? 31 What is the highest common divisor of 1370 and 207555? 685 What is the highest common factor of 302492 and 376? 188 What is the highest common divisor of 88 and 3328512? 88 What is the highest common factor of 7 and 4956? 7 Calculate the greatest common divisor of 7086 and 72. 6 Calculate the highest common divisor of 168 and 10934. 14 Calculate the highest common factor of 1726824 and 108. 12 What is the highest common divisor of 54572 and 84? 28 What is the highest common factor of 17920 and 620? 20 What is the highest common factor of 104665 and 110? 55 What is the highest common factor of 1872 and 11472? 48 What is the greatest common factor of 14157092 and 452? 452 Calculate the greatest common factor of 49420 and 140. 140 What is the greatest common divisor of 87681 and 99? 33 What is the highest common factor of 91 and 10933? 13 What is the highest common factor of 24628 and 7598? 262 What is the highest common factor of 2112 and 714? 6 What is the greatest common factor of 181263 and 1184? 37 Calculate the greatest common factor of 11424 and 3072. 96 What is the highest common divisor of 28 and 1573054? 14 Calculate the highest common factor of 67650 and 82. 82 Calculate the highest common divisor of 221560 and 290. 290 What is the greatest common factor of 4077300 and 12? 12 Calculate the highest common factor of 105 and 249725. 35 What is the greatest common divisor of 23419 and 66? 11 What is the greatest common factor of 40 and 1252? 4 What is the greatest common factor of 294 and 20454? 42 What is the highest common divisor of 558 and 8802? 18 What is the greatest common divisor of 748454 and 126? 14 Calculate the greatest common factor of 695 and 823297. 139 Calculate the greatest common divisor of 595 and 6921635. 595 What is the highest common factor of 21 and 769314? 21 What is the greatest common factor of 6264 and 4968? 216 What is the highest common divisor of 588686 and 42? 14 Calculate the greatest common factor of 2024 and 2484. 92 Calculate the greatest common factor of 1276 and 22156. 116 Calculate the greatest common divisor of 89394 and 1128. 282 Calculate the greatest common factor of 110967 and 3102. 141 Calculate the highest common divisor of 4576 and 220. 44 Calculate the highest common divisor of 749 and 31339. 7 What is the highest common factor of 12 and 7868? 4 Calculate the highest common divisor of 24890 and 1260. 10 What is the highest common divisor of 26576 and 1510? 302 Calculate the greatest common factor of 858 and 13156. 286 What is the greatest common factor of 63316 and 66? 22 What is the highest common factor of 1185 and 3885? 15 What is the highest common factor of 150 and 480? 30 Calculate the highest common divisor of 702 and 63258. 78 Calculate the highest common divisor of 238487 and 23. 23 Calculate the highest common factor of 97664 and 4256. 224 Calculate the greatest common factor of 2 and 8091. 1 What is the greatest common divisor of 258 and 15114? 6 What is the greatest common divisor of 885750 and 1500? 750 Calculate the greatest common factor of 40554 and 7830. 54 Calculate the greatest common factor of 49766 and 501. 167 Calculate the greatest common factor of 3772 and 198973. 943 Calculate the greatest common divisor of 199859 and 22. 11 Calculate the highest common factor of 161 and 246491. 161 Calculate the greatest common divisor of 102890 and 20. 10 Calculate the highest common factor of 550 and 44990. 110 Calculate the greatest common factor of 62610 and 60. 30 Calculate the greatest common divisor of 1169091 and 441. 441 Calculate the greatest common factor of 1811384 and 323. 323 What is the highest common factor of 39530 and 60? 10 What is the greatest common factor of 133 and 25669? 133 Calculate the greatest common factor of 509084 and 4. 4 Calculate the greatest common divisor of 60 and 685010. 10 What is the highest common divisor of 44 and 512? 4 What is the greatest common divisor of 2268 and 7479? 27 Calculate the highest common divisor of 85 and 4896. 17 What is the greatest common divisor of 1513 and 2567? 17 Calculate the greatest common factor of 455 and 114205. 455 Calculate the highest common factor of 280 and 5005. 35 Calculate the highest common factor of 168 and 9282. 42 What is the greatest common divisor of 155529 and 99? 99 What is the highest common divisor of 21 and 308343? 21 What is the greatest common factor of 18 and 856? 2 What is the highest common divisor of 42 and 100527? 21 Calculate the highest common factor of 1576 and 1379. 197 What is the greatest common divisor of 7912 and 1748? 92 What is the highest common factor of 129 and 193371? 129 Calculate the greatest common factor of 4448 and 7008. 32 Calculate the greatest common factor of 8890 and 6594. 14 Calculate the greatest common factor of 99 and 356598. 99 What is the greatest common factor of 1050 and 2810? 10 What is the greatest common factor of 68892 and 4? 4 Calculate the greatest common factor of 680 and 9418. 34 Calculate the greatest common factor of 48 and 522. 6 Calculate the greatest common factor of 5863 and 209. 11 Calculate the greatest common divisor of 718 and 632558. 718 Calculate the greatest common factor of 315 and 8890. 35 What is the greatest common factor of 300 and 13170? 30 Calculate the greatest common divisor of 1104 and 1725000. 552 Calculate the greatest common factor of 434 and 2478357. 217 What is the highest common factor of 3762 and 18854? 22 Calculate the highest common divisor of 117362 and 42994. 1162 Calculate the greatest common divisor of 9400 and 47893. 47 Calculate the greatest common factor of 8319 and 541266. 177 What is the greatest common divisor of 114 and 58686? 6 Calculate the highest common factor of 1837 and 649. 11 Calculate the highest common factor of 168 and 9863. 7 What is the highest common factor of 656 and 6355? 41 Calculate the greatest common factor of 640 and 6270. 10 Calculate the greatest common factor of 627 and 378. 3 Calculate the highest common factor of 9152885 and 1190. 595 What is the greatest common divisor of 26 and 1209845? 13 What is the greatest common divisor of 39315 and 45? 15 What is the greatest common divisor of 37587 and 51? 51 What is the greatest common divisor of 18447 and 572? 143 Calculate the greatest common divisor of 169
{ "pile_set_name": "DM Mathematics" }
= a - 1. Let m(p) = -210331 + 5*p + 105165 + 105163. What is 2*g(j) - m(j)? -3*j + 1 Let p(f) = -3*f + 4. Let m(t) = -5*t + 2*t - 17 + 31 - 2 - 7. Determine 2*m(y) - 3*p(y). 3*y - 2 Let r(x) = 3*x**3 - 9*x**2 + 4523*x + 16. Let c(q) = 2*q**3 - 7*q**2 + 4521*q + 12. What is 4*c(v) - 3*r(v)? -v**3 - v**2 + 4515*v Let l(i) = -21*i**2 - 11*i + 13. Let u(w) = -2398160*w**2 + 2398165*w**2 + 5*w - 3 - 2*w. Calculate 2*l(v) + 9*u(v). 3*v**2 + 5*v - 1 Let t(g) be the first derivative of g**2/2 + g + 410. Let d(h) = -h + 5. Determine d(k) + 2*t(k). k + 7 Let d(j) = 5*j**3 + 2*j - 70. Let z(q) = 15*q**3 + 7*q - 246. What is 14*d(w) - 4*z(w)? 10*w**3 + 4 Suppose 3*y + 11 = -13. Let o(i) = -4*i**3 + i - 2. Let c(b) = 11*b**3 - 3*b + 5. Suppose -4*g + 3*a - 3 = 0, -g - 3*a + 4 - 16 = 0. Determine g*c(h) + y*o(h). -h**3 + h + 1 Let o(c) = -26*c**2 - 33*c**2 + 98*c**2 + 2*c + 2 - 31*c**2. Suppose -14 = -2*b - 80. Let z(f) = -129*f**2 - 33*f - 33. Determine b*o(q) - 2*z(q). -6*q**2 Let o(z) = -z**3 + z**2 - z. Let b(a) = 176*a**3 - 154*a**2 + 154*a. Let d = 1450 - 1912. What is d*o(r) - 3*b(r)? -66*r**3 Let d(a) = -1087*a**3 - 40*a**2 + 7*a + 12. Let s(v) = 1089*v**3 + 34*v**2 - 6*v - 10. Calculate 6*d(t) + 7*s(t). 1101*t**3 - 2*t**2 + 2 Let x(w) = -13*w**2 - 20542*w + 14. Let f(s) = -4*s**2 - 6847*s + 4. Calculate 7*f(d) - 2*x(d). -2*d**2 - 6845*d Let c(m) = -2*m**3 + 3*m**2 - 7*m - 4. Suppose 24 = -3*p - 5*n, n + 300 - 291 = -2*p. Let a(j) = j**3 - j**2 + 1. Determine p*a(g) - c(g). -g**3 + 7*g + 1 Let i(h) = 3372*h - 4215. Let w(s) = s - 1. Determine -3*i(q) + 12645*w(q). 2529*q Let m(o) = o. Let w be m(-3). Let v(x) = 2*x + 4. Let y(g) = -2*g - 3. Let c be (3/(99/6))/(1895/(-20845)). Determine c*v(z) + w*y(z). 2*z + 1 Let k = -4259 + 4255. Let c(m) = -3*m**3 - 2*m + 1. Let x(w) = -4*w**3 - 3*w. What is k*x(o) + 5*c(o)? o**3 + 2*o + 5 Let z(f) = -6*f - 3. Let o(n) = -3*n - 2. Let b be 2 + 8/14 + 45/105. What is b*z(v) - 5*o(v)? -3*v + 1 Let j(g) = -12*g**3 + 14*g**2 + 14*g + 8. Let v(h) be the first derivative of 35 + h**4 - 5/3*h**3 - 3*h - 5/2*h**2. Calculate 5*j(n) + 14*v(n). -4*n**3 - 2 Let i(n) = 4*n**3 - 8*n**2 - 86*n - 69. Let w(k) = -3*k**3 + 6*k**2 + 57*k + 49. Give 5*i(g) + 7*w(g). -g**3 + 2*g**2 - 31*g - 2 Let j = 1303 + -1300. Let h(c) = -c**2. Let f(n) = 3*n**2 - 1. What is j*f(z) + 7*h(z)? 2*z**2 - 3 Let g(h) = 986*h**2 - 4*h + 212. Let m(x) = 985*x**2 - 5*x + 282. Give -4*g(b) + 3*m(b). -989*b**2 + b - 2 Let n(j) = 2279*j**2 + 159*j. Let x(o) be the first derivative of -19*o**3 - 2*o**2 - 1600. Determine 4*n(i) + 159*x(i). 53*i**2 Let a(y) = 11*y**3 + 6*y**2 + 25*y + 4. Let c(u) = u**3 + u**2 + 6*u + 1. What is -a(i) + 6*c(i)? -5*i**3 + 11*i + 2 Let z(y) = 2*y - 2. Let d(f) = -30*f + 32. Let k(a) = -5*d(a) - 80*z(a). Let w(t) = -t**2 + t. Give k(s) - 2*w(s). 2*s**2 - 12*s Let f(s) = -2. Suppose 4*w = -5*j + 118, 2*j + 3*w = 8*w + 67. Suppose -165 = -j*o + 11*o. Let y(b) = -o + 5 - b + 4. What is f(d) - 2*y(d)? 2*d + 2 Let l(m) = 2*m**2 + 5*m + 13. Let o(a) = 7*a**2 - 7*a - 6. Let u(s) = -23*s**2 + 22*s + 18. Let n(r) = 13*o(r) + 4*u(r). What is 3*l(d) + 5*n(d)? d**2 + 9 Let s(h) = 9 + 9 - 19. Let w be 2*((-22)/(-33) - (-470)/6). Let l = -157 + w. Let n(p) = -p**2 + 2*p + 3. Calculate l*n(y) + 2*s(y). -y**2 + 2*y + 1 Let b(w) = -w**2 - 11*w + 1. Let o(y) be the second derivative of y**4/6 + 11*y**3/6 - y**2 - 12*y - 118. Calculate -3*b(m) - 2*o(m). -m**2 + 11*m + 1 Let w(m) = -45*m**2 - 13*m. Let v(z) = 45*z**2 + 16*z. Determine -9*v(i) - 8*w(i). -45*i**2 - 40*i Let x(t) = 33*t + 6. Let p(k) = 11*k + 2. Let d be 1/13 + 660/(-130) + 7. Calculate d*x(v) - 7*p(v). -11*v - 2 Let l(u) = 6*u**3 - 3*u**2 + 2*u + 8. Let b be (66/198)/(1/9). Let s(v) = -5*v**3 + 2*v**2 - v - 7. What is b*s(m) + 2*l(m)? -3*m**3 + m - 5 Let j(c) = 160*c**2 + 4*c - 4. Let k(t) = 108*t**2 + 3*t - 3. What is 5*j(i) - 7*k(i)? 44*i**2 - i + 1 Suppose 11*z = -117 - 103. Let h(a) = 20 + 2*a**3 + 23*a**3 + 20*a**2 + 1354*a - 1354*a. Let r(l) = -l**3 - l**2 - 1. Calculate z*r(c) - h(c). -5*c**3 Let f be 105/(-70)*16/(-12). Let v(q) = 15*q**2 - 3*q - 1. Let i(x) = -7*x**2 + x. Determine f*v(a) + 5*i(a). -5*a**2 - a - 2 Let b(y) = -2*y**2 - 5*y + 21. Let s(r) = -2*r**2 - 6*r + 20. Suppose 5*i = 3*j - 10, 2*i + 1309 - 1286 = 5*j. What is j*b(k) - 4*s(k)? -2*k**2 - k + 25 Let m(q) = -301*q**2 - 5*q - 8. Let j(s) = -303*s**2 - 4*s - 7. Give -7*j(t) + 6*m(t). 315*t**2 - 2*t + 1 Let g(h) = 5788*h**3 + 10*h**2 - 7*h - 10. Let o(t) = 2895*t**3 + 6*t**2 - 4*t - 6. Calculate 3*g(y) - 5*o(y). 2889*y**3 - y Let u(v) = -38*v**3 + 20*v**2 - 13*v - 11. Let y(f) = -38*f**3 + 24*f**2 - 14*f - 11. Give 6*u(c) - 5*y(c). -38*c**3 - 8*c - 11 Let k(l) = -l + 55. Let x(c) = -668. Let b(o) = 62. Let s(v) = 11*b(v) + x(v). Calculate 2*k(a) - 9*s(a). -2*a - 16 Let i(f) = -f. Let g(y) = -3*y + 3. Let m(v) = -g(v) + 4*i(v). Let s = -18259 - -18262. Let u(c) = 1. Determine s*u(z) + m(z). -z Let y(r) = -3*r**2 + 8*r. Suppose t + 65 = -5*w, 12*w - 9*w + 5*t + 39 = 0. Let z be 13/(w/8) - -9. Let n(p) = -p**2 + p. Determine z*y(f) - 5*n(f). 2*f**2 + 3*f Let v(x) = 0*x + 4*x - 3*x + 1. Let g(s) = 10*s + 7. Suppose -48498*k - 24 = -48486*k. What is k*g(i) + 18*v(i)? -2*i + 4 Let c(f) = 533416*f. Let n(o) = -7176*o. What is 7*c(u) + 520*n(u)? 2392*u Let w(a) = -3*a + 5. Let c be 3 + -1 + 1 + -1. Let h(z) = 0*z + 15 + c*z - 19. Let m = -188 + 192. Calculate m*w(x) + 5*h(x). -2*x Let m(p) = -p**2 - 2*p - 2. Let f be (-14)/(-21)*9/2. Let b(n) = 30*n + 3 + n**2 + 27*n - 18*n - 36*n. What is f*m(y) + 2*b(y)? -y**2 Let v(x) = 14*x**3 + 5*x**2. Let p(j) = -376*j**3 - 136*j**2. Give -3*p(a) - 80*v(a). 8*a**3 + 8*a**2 Let j(p) = -p**3 - p - 5. Let g(m) = 10456*m**3 + 20912*m + 104560. Give g(n) + 20912*j(n). -10456*n**3 Suppose -1084 - 2881 = -461*r + 156*r. Let y(a) = 8*a**3 - 2*a**2 + 6*a + 3. Let m(u) = 17*u**3 - 4*u**2 + 13*u + 5. Give r*y(x) - 6*m(x). 2*x**3 - 2*x**2 + 9 Let o(t) be the first derivative of 11*t**3/3 + t**2/2 - 5*t - 2141. Let w(h) = h**2 - 1. What is -o(z) + 6*w(z)? -5*z**2 - z - 1 Let h(u) = u**2 - u. Let v(n) = -2*n**3 - 5*n**2 + 3*n - 2. Suppose 3 = 4*j - 1. Suppose 0 = 2*i - 41*i + 27729. Let t = -706 + i. Determine j*v(p) + t*h(p). -2*p**3 - 2*p - 2 Let h(t) = -7*t - 2. Let x = -1122 + 911. Let a = 210 + x. Let l(b) = -b - 8. Let i be l(-4). Let y(d) = d + 1. Give a*h(f) + i*y(f). 3*f - 2 Let c(l) = -1380*l - 1. Let r(f) = 20*f. Give -c(q) + r(q). 1400*q + 1 Let a = 10 - 11. Let x be (a - -2) + (1 + 4)/5. Let v(l) = 3*l**x + 21*l - 4 - 2*l**2 - 25*l. Let i(h) = 2*h**2 - 9*h - 9. Calculate 4*i(w) - 9*v(w). -w**2 Let v(b) be the first derivative of -2*b**3/3 - 7*b**2/2 + b + 8. Let c = -13 + 7. Let f(r) = 2*r**2 + 2 - 37*r + 1 + 45*r - 4. Calculate c*v(l) - 5*f(l). 2*l**2 + 2*l - 1 Let s(x) = 3. Let f(p) = p + 8. Let m be (-9)/12 - (-2 + 15/(-2))/2. Calculate m*f(w) - 11*s(w). 4*w - 1 Let w(p) = -13*p**2 + p - 1. Let r(b) = -30*b**2 - 5*b. What is -r(x) - 3*w(x)? 69*x**2 + 2*x + 3 Suppose 68 = -159*d + 1331 + 9. Let k(g) = 23*g**3 + 6*g**2 + 15*g - 8. Let a(w) = 8*w**3 + 2*w**2 + 5*w - 3. What is d*a(y) - 3*k(y)? -5*y**3 - 2*y**2 - 5*y Suppose -247 + 293 = -46*o. Let a(q) = 6*q + 7. Let f(s) = 7*s + 6. Let c(m) = -3*a(m) + 2*f(m). Let l(v) = v + 1. What is o*c(y) - 5*l(y)? -y + 4 Let k(r) = -3*r**2 + r - 3. Let m(g) = 935*g**2 - 8*g + 24. Determine 40*k(q) + 5*m(q). 4555*q**2 Let w(m) = 21*m**3 - m**2 + 2*m. Let h(p) be the second derivative of -21*p**5/4 + 5*p**4/12 - 11*p**3/6 - p**2/2 + 7263*p. Determine -2*h(c) - 11*w(c). -21*c**3 + c**2 + 2 Let s(q) = 3*q - 2. Let c(l) = -2*l**3 - 7*l - 3. What is c(z) - s(z)? -2*z**3 - 10*z - 1 Let o(d) = 5*d**2 - 48*d + 5419. Let k(h) = h**2 - 8*h + 4. Calculate 6*k(z) - o(z). z**2 - 5395 Let f(d) = -d + 9. Let w(b) = -39*b - 19. Let v(p) = -25*p - 19. Let m(k) = 3*v(k) - 2*w(k). Calculate 5*f(n) + 2*m(n). n + 7 Let b(o) = 24*o + 528. Let n(c) = 31*c + 528. Calculate 5*b(m) - 4*n(m). -4*m + 528 Let z(d) = 7 - 13*d + 13*d**2 - 18*d - 119*d**3 + 118*d**3 - 2. Let s be z(10). Suppose q + 20 = 6*q. Let b(r) = 4. Let j(h) = h + 5. Give q*j(n) + s*b(n). 4*n Let a(k) = 0*k**2 + 5*k**2 + 1 - 6*k**2 + 0 + k. Let j(c) = 4*c + c**3 - c**2 + 5 - 4*c**2 + c. Let l be
{ "pile_set_name": "DM Mathematics" }
g(a) = -a**3 + 5*a**2 - a + 3. Let t be g(5). Let u = -2 - -5. Let v = t + u. Calculate the least common multiple of 1 and v. 1 Let n be (-208)/(-6)*(-238)/4. Let v = -2041 - n. Calculate the common denominator of 4/22 + (-812)/110 and v. 15 Let r = -126 + 159. What is the lowest common multiple of 21 and r? 231 Let d(t) = 3*t - 3. What is the smallest common multiple of d(3) and 15? 30 Suppose -x - 3*a = -8, -4*x + 10 = a - 0. Suppose -37 = 2*j + i - 0, 2*j + 40 = 2*i. Let t = -9 - j. What is the smallest common multiple of x and t? 10 Calculate the least common multiple of 1*3 + 8 + -11 - -3 and 5. 15 Let a = 139/6 - 27. Calculate the common denominator of 2/1 + 97/2 and a. 6 Let s = -1692456 - -260636511/154. Let y = -101/14 - s. What is the common denominator of -27 and y? 11 Let a(l) = -l. Let h be a(-2). Suppose 4 = t + t, -2*t = -b + h. Calculate the least common multiple of b and 3. 6 Let g(x) = x**2 + 6*x + 2. Let w = 372 - 364. Calculate the lowest common multiple of g(-6) and w. 8 Let b = -414 + 2611/6. What is the common denominator of b and -26/9? 18 Suppose -47 = 2*z + n, -5*z - 56 = -n + 51. Find the common denominator of -87/10 and 21/(-7) - z/(-36). 90 Let c = -9428905/10983 - 1/21966. Let a = -829 - c. Find the common denominator of -37/3 and a. 6 Let o = -278023/15306 - 6/2551. Let g = 740 - 6727/9. What is the common denominator of o and g? 18 Let q = 9 - -9. Find the common denominator of 32/7 and (1/q)/(1/62). 63 Calculate the common denominator of 53/(-6) + 18/(-27) and -97/20. 20 Let j be (-6)/4*289088/108. Let o = j - -4023. Calculate the common denominator of -115/6 and o. 18 Suppose 4*j + 3*o - 5 - 3 = 0, -3*j + 5*o = -6. Let w(n) = -n**j + n - 12*n**3 + 3*n**2 - 8*n**3. Calculate the common denominator of w(-1) and -63/4. 4 Let p be ((-761)/(-2))/(2/4). Let u = 5776024/9 + -641025. Let x = u - p. Find the common denominator of x and 31/2. 18 Let h be (1 - 3) + -127 + -1. Calculate the common denominator of 61/22 and h/(-24) - 1 - 1. 132 Let v be 12039/18 + 2*-1. Let o = v - 672. Let k = 918/11 + -5821/77. Find the common denominator of k and o. 42 Suppose v - 2*v - 3*t - 2 = 0, -t = 5*v - 4. Suppose 0 = -14*c + 20 - 6. Calculate the least common multiple of v and c. 1 Suppose b + 3*r = 7*r + 18, 33 = 3*b - 5*r. Let s(u) = -u**2 + 6*u + 3. Let h be s(6). Calculate the smallest common multiple of b and 0 - (-2)/(-2 + h). 6 Let z = 1/476 + -2321/238. What is the common denominator of z and 67/20? 20 Find the common denominator of (1/16)/(((-5)/(-108))/(-1)) and 167/30. 60 Let f be (706/(-4))/((-36)/(-2)). Let n = 15448 - 139232/9. Let l = f - n. Find the common denominator of 75/22 and l. 132 Let k be 15890/(-12)*12/(-8). Let x = -1998 + k. Find the common denominator of x and -33/2. 4 Let x(u) = 4 - 2 - 8*u - 4. Calculate the least common multiple of x(-2) and 9/(45/10) + 0. 14 Suppose 2*u - 7 = 5. What is the least common multiple of 12 and u? 12 Suppose -71 = -3*n + 5*u, -n + 11 = 4*u - 7. Calculate the smallest common multiple of n and 18. 198 Let f = 37 - 55. Let u = -7 - f. Calculate the smallest common multiple of 10 and u. 110 Let u = 1687/69 - 243/46. Let k be 4/1*(-8045)/(-220). Let i = k - 147. Calculate the common denominator of i and u. 66 Let r(b) = -b + 4. What is the least common multiple of 106 and r(-16)? 1060 Let p = 2407/420 + -97/20. What is the common denominator of -45/7 and p? 42 Suppose 139 = 3*m - 266. Let f be (33/m)/(4388/199266). Let p = -2/3291 + f. Calculate the common denominator of p and 38. 10 Suppose -3*u = -5*x + 17, 2 = -3*x - 4. Let j = u + -47/2. What is the common denominator of 2 - ((-735)/(-6))/(-7) and j? 2 Let v(d) = -d**2 - 11*d - 13. Let q be v(-9). Suppose -q*h = 3*g - 8, 4*g = -2*h + 2*g + 4. Calculate the least common multiple of 3 and h. 3 Let w = -113/198 - 73/22. Let p = 459/10 - 2433/20. Let t = p - -109/4. Calculate the common denominator of w and t. 18 Suppose -16 = -4*i + 40. What is the lowest common multiple of 4 and ((-12)/8)/((-3)/i)? 28 Let f = -3321 + 16662/5. What is the common denominator of f and -52/9? 45 Let v(w) = w**2 + 8*w + 5. Let u be v(-7). Let n be -4 - u/1 - -36. Suppose 4*j - 2*a = n, 5*a = -5*j - 0*a + 35. What is the lowest common multiple of j and 4? 8 Let w(n) = n**2 - 2*n - 8. Suppose -3 = -5*g + 3*y - 2, 4*g + 2 = y. What is the smallest common multiple of 4/14*(g - -8) and w(6)? 16 Let k = -3023/10 + 1496/5. Find the common denominator of k and 55/62. 310 Let b = 495 - 6442/13. Let n = 7145 + -57255/8. Calculate the common denominator of b and n. 104 Find the common denominator of 227/12 + 10/(-15) and -53/16. 16 Suppose 0*x - 2*x = -6. Let r = 1 - x. Let p = r - 8/5. What is the common denominator of -15/7 and p? 35 Suppose 41 = 2*y + 5*d, -y + 2*d = y - 76. Suppose 0 = -5*s + k + 58, -16 = -5*s - 2*k + y. Suppose 4*h + 2 = 6. Calculate the least common multiple of h and s. 11 Suppose 5*i + 2*h - 51 = 0, 4*i - 4*h - 11 = 41. What is the common denominator of -15/8 and 1*i/2 - -4? 8 Let x(p) = -199*p + 1. Let s be x(-1). Suppose 5*f - s = -0*f. Suppose -2*g - f = -7*g. Calculate the least common multiple of g and 8. 8 Let q be 6/(-21) + (-114)/(-7). Let v be q*(-2 - (-15)/(-6)). Find the common denominator of 597/v + (-2)/6 and 13/4. 8 Let w(b) = b**2 - 3*b + 3. Let r be w(3). Suppose 2*h - 1 = -k + 6, r*k + h - 6 = 0. Suppose 13 = 2*n + 5. What is the lowest common multiple of n and k? 4 Let r = -37057/3 + 12494. Let s = 1607/12 - r. Find the common denominator of 59/6 and s. 12 Suppose 5*w - 16 = -1. Let g = 3 - w. What is the common denominator of (74/(-12))/(-1) - g and 57/22? 66 Suppose -5*w + 33 = -3*c, 5*w = 2*c + 3*c + 25. What is the lowest common multiple of 27/6*2*1 and w? 9 Let v = 101 - 708/7. Let q(b) = -b**3 + 15. Let d be q(0). Find the common denominator of v and ((-3)/d)/((-2)/(-26)). 35 Let u(h) = -h**3 - 9*h**2 - 9*h - 6. Let k(n) = -n**3 - 2*n - 8. Let t be k(0). What is the smallest common multiple of u(t) and 8? 8 Calculate the smallest common multiple of 24/3 + 3 + 3 and 42. 42 Let f be ((-2)/4)/((-146)/164). Let u = f - 3895/1606. Calculate the common denominator of u and 99/10. 110 Let o be 6780/(-10143) - 4/(-6). Let y = 86763/9016 - o. Find the common denominator of (-12)/18 - (-82)/8 and y. 24 Let x be 2/(-2*2/14). What is the common denominator of (-209)/(-24) - 6/(-9) and x/(-6)*(2 + 0)? 24 Let d be ((-6)/(-10))/((-6)/(-30)). Let v be 2*-1*-1*2. Suppose -5*x = d*f - 14 - 19, 2*x - v*f = 8. What is the least common multiple of 9 and x? 18 Let l = -99821/2662 + -2/1331. Let y = 64 + -38. Calculate the common denominator of l and (-1 + 0)/(7/y). 14 Let a be 4*3/(7 - 1). Suppose 3*b = a*i - b - 12, -2*i + 5*b + 11 = 0. What is the lowest common multiple of 22 and i? 88 Suppose 0 = -3*x - 5*a - 70, 2*x - 2*a - 3*a + 30 = 0. Calculate the lowest common multiple of 1 and (-132)/x - 2/(-5). 7 Suppose -6 = 3*t - 48. Let r = -15 - -9. Let m(w) = w**3 + 7*w**2 + 4*w - 8. Calculate the lowest common multiple of m(r) and t. 28 Suppose -o = -3*m - 0*m - 12, 3*o = -4*m + 10. Calculate the least common multiple of o and 16. 48 Find the common denominator of -2 + -2 + (-117)/(-4) and 79/8. 8 Let t = 357/739 + 2464997/3695. Let a = t - 670. Let i = 16685/7 - 2388. Calculate the common denominator of i and a. 35 Suppose -2*n + 48 = -5*b, -13 = -3*n - 2*b + 21. Suppose 0 = 5*h - n - 16. What is the least common multiple of 22 and h? 66 Suppose 5*n = -0*n + 15, -76 = -5*g - 2*n. What is the least common multiple of g and 12? 84 Suppose 2*i - 5*i = 0. Let t(q) = -q**3 + 18. Suppose 0 = -552*z + 541*z + 198. Calculate the lowest common multiple of t(i) and z. 18 Let x = -63 + 15. Calculate the common denominator of -41/10 and x. 10 Suppose -3*g = 4 - 10. Suppose -4*n = 2*d - 30, 4*n + 2*d - 12 = 3*n. What is the smallest common multiple of g and 3/(-2) + 57/n? 8 Let i(l) = l**3 - 5*l**2 - 5*l - 6. Let q be i(6). Suppose -3*p = -q*p - 36. Calculate the smallest common multiple of p and 910/77 - (-2)/11. 12 Suppose 5*b = i + 11, 5*b + 0*i = 5*i + 15. Let d = 7 + b. What is the lowest common multiple of 5 and d? 45 Let t(v) = -v**3 + 2*v**2 - 2*v + 2. Let c be t(3). Let y = c - -27. Calculate the lowest common multiple of y an
{ "pile_set_name": "DM Mathematics" }
(d) 1/6 (e) 4 (f) 0.5 a What is the third biggest value in 20425/7, -6/85, 5? -6/85 Which is the second smallest value? (a) 0.3 (b) -29.499 (c) -43/7 c Which is the biggest value? (a) -0.4 (b) -3.19 (c) 516.3 c Which is the second biggest value? (a) 149647 (b) 4 (c) 2 (d) 55 d What is the second biggest value in -2, -1, -44, -7, 67? -1 Which is the third smallest value? (a) -48 (b) -4/57 (c) -95 (d) 0.16 (e) -0.21 e Which is the third smallest value? (a) 2 (b) 4 (c) -11 (d) -0.2 (e) 0.3 (f) -4/41 (g) 5 f Which is the third biggest value? (a) 0.5 (b) 5 (c) -224 (d) 566/9 a Which is the second smallest value? (a) 0 (b) -70 (c) 0.2 (d) 1 (e) -5 (f) -16 (g) -2 f What is the third biggest value in -15, -1/3, -0.775277? -15 Which is the seventh biggest value? (a) -39 (b) 11/5 (c) -18 (d) -1/11 (e) 7 (f) 16 (g) 1 a What is the second smallest value in 5/4, -0.1, -411991? -0.1 What is the fifth biggest value in 53/1295, -3, 0.1, -4/5, -20? -20 What is the second biggest value in 46/5, -79, 13/7? 13/7 What is the biggest value in -337, 1/5, 0.4, 2/19, -226? 0.4 What is the smallest value in -4, 5, 62, 37, 65? -4 Which is the sixth smallest value? (a) -0.14 (b) 0.4 (c) -85 (d) 0.1 (e) 3 (f) 107 f What is the third smallest value in -37, 425/18, 0.4? 425/18 Which is the biggest value? (a) -4 (b) -1/49 (c) -17.1 (d) -120 b Which is the third biggest value? (a) 0.06 (b) -2 (c) 6 (d) 1.3 (e) 2 (f) -7 (g) 0.17 d What is the fourth smallest value in -1/3, -21.8, -2/187, 2/13, 0, 4? 0 What is the biggest value in -0.5, 5/49, -1.39, 3, -5? 3 Which is the third smallest value? (a) -0.2 (b) 1/45 (c) -2/9 (d) 3.7 (e) 2 (f) 0.4 (g) -4 a Which is the third biggest value? (a) 3/1602976 (b) -4/11 (c) 2/5 b What is the fourth smallest value in 3795, -513, 7, 2/7? 3795 What is the second biggest value in 3, 1522, -3, 4, 56? 56 What is the second smallest value in 0.143, -0.2, -3/4, 1/93? -0.2 Which is the sixth smallest value? (a) 3/7 (b) -20 (c) -3 (d) -0.3 (e) 2.72 (f) -2.4 e What is the biggest value in 5, -3, 0, -0.77, -68, 1, -2/13? 5 Which is the third smallest value? (a) 0.5 (b) -0.4 (c) 3 (d) -2/11 (e) -2 d Which is the second smallest value? (a) 432 (b) -6 (c) -238/5 b What is the third smallest value in -1, 501, -58, 48? 48 What is the second smallest value in 1025, 9, 11924? 1025 Which is the biggest value? (a) 7 (b) -1 (c) -0.5 (d) 4/11 (e) 1/7 (f) 5 (g) -5 a What is the fourth biggest value in 17, -5, 2/9, -6/7, -1573? -5 What is the smallest value in -1098, -6, 3157? -1098 What is the second smallest value in -0.07, 11/113, -0.2, 0.3499? -0.07 What is the second biggest value in -303, 51829, 1/11? 1/11 Which is the second biggest value? (a) 1/3 (b) 0.5 (c) 2 (d) 3 (e) 0 (f) 10 d What is the sixth smallest value in -177/10, -10/9, -3, 5/2, -0.4, 3/4, -5? 3/4 Which is the sixth smallest value? (a) 6 (b) -344 (c) 2/13 (d) 1.7 (e) 0 (f) 5/3 a Which is the smallest value? (a) 3 (b) -1 (c) -4.5 (d) 0.337 c Which is the third biggest value? (a) 6/2093 (b) 1232 (c) -0.3 (d) -0.5 c Which is the second biggest value? (a) -4 (b) -1/9 (c) -5 (d) 6 (e) -963 (f) 3 (g) 6.7 d What is the biggest value in 32042, 0.5, -2/27? 32042 Which is the third smallest value? (a) -331 (b) 4.00798 (c) 0.2 b Which is the fourth biggest value? (a) 71 (b) 0.5 (c) -5 (d) -1854350 (e) 0.4 c What is the seventh biggest value in -3.2, 4, -0.5, 1/4, 2, -7325, 40/7? -7325 Which is the fourth smallest value? (a) 1/2 (b) 0.2 (c) -369/4 (d) -1 (e) -0.09 (f) 1/11 (g) 3/7 f What is the fifth biggest value in -99, -2/7, 0.1, 2.2, -2538? -2538 What is the biggest value in -1, -34, -9, -44, 58/5? 58/5 Which is the third biggest value? (a) 27 (b) -0.046 (c) -5 (d) 0 (e) 0.041 d What is the smallest value in 1.5, -291, 24.44? -291 What is the seventh smallest value in -0.2, 7, 306, -2, -227, -4, -0.5? 306 What is the second biggest value in -762, -2145, -1? -762 Which is the third smallest value? (a) -6 (b) -5/3 (c) -1449/13 b Which is the fourth smallest value? (a) 3 (b) -5 (c) 1 (d) 442 (e) 0.6 (f) -2/11 (g) -0.1 e What is the second smallest value in -57, -6.989, -5? -6.989 What is the second smallest value in 1, 5/2, -0.32? 1 Which is the smallest value? (a) -2/7 (b) -8 (c) 1/9 (d) 3/4 (e) -572 e Which is the biggest value? (a) -42 (b) -0.5 (c) -1 (d) 2/11 (e) -0.02 (f) 13 (g) 5 f What is the third smallest value in 1/2, -800/1849, -1/252? 1/2 What is the fourth smallest value in -1809, 8, -2/5, 40? 40 Which is the smallest value? (a) -2/27 (b) -24 (c) -8381 c What is the fourth smallest value in 1, 50677, 0, 4, -9? 4 What is the third biggest value in -0.2609, -3/4, -3.7, -2, -4, 4? -3/4 Which is the second smallest value? (a) 60999 (b) -37 (c) -40 b What is the second smallest value in 1/988, -5, -28/5, 39/14? -5 Which is the third smallest value? (a) -18.9 (b) 2 (c) 17887 c What is the fourth biggest value in 1/10, -9, -91, -1/2, 1/9, 2/15? -1/2 What is the fifth smallest value in -5/6, -763, 4, -1778, 1/12? 4 What is the fifth biggest value in -2, -0.116, 4, 5, 0.4, 0.2, -172? -0.116 Which is the biggest value? (a) 597/8 (b) -1/2 (c) -114/2849 a Which is the biggest value? (a) -8 (b) -1046327 (c) -0.1 (d) 4 d Which is the biggest value? (a) -48 (b) 0 (c) -211 (d) 6.25 d Which is the smallest value? (a) 2/9 (b) 11/29303 (c) 3/5 (d) -2/25 (e) 0.06 d What is the third biggest value in -368, -2/9, 0.4, 4/3, -185/2, -0.4? -2/9 Which is the third biggest value? (a) 0 (b) 14.4074261 (c) -4/9 c Which is the fourth smallest value? (a) 0 (b) 6/8269 (c) 0.6 (d) -6 c What is the sixth biggest value in 7, 260.2, 2, 0.4, -40, -5? -40 What is the smallest value in 2, 201/4, -1, -1/7, 2/3? -1 What is the fifth biggest value in -5/6, 4/3, 1, -3, 0.00566, -5.4? -3 Which is the biggest value? (a) 2/9 (b) -5.8 (c) -2/93 (d) -79 (e) 0 a Which is the fourth smallest value? (a) 1/7 (b) -136.76 (c) -18 (d) 3/7 d Which is the smallest value? (a) 242797 (b) 0.055 (c) -1/2 c What is the smallest value in -1/229, -141, 85, 0? -141 Which is the fourth smallest value? (a) -2/3 (b) 1891 (c) 1/3 (d) 0.2 (e) 7 (f) 0.11 c Which is the biggest value? (a) 5/18 (b) 3 (c) 1/4 (d) -0.4 (e) 508.3 e What is the fifth biggest value in -2, -29/4, 0.1, -4, -3, -146? -29/4 Which is the smallest value? (a) 102.6 (b) 4/21 (c) 0.3 (d) 50 (e) -2/5 (f) -4 f Which is the smallest value? (a) 3/8 (b) 0.7 (c) 4 (d) -774 d Which is the second smallest value? (a) -1/6 (b) -2 (c) -190.6515 b Which is the fourth smallest value? (a) -1/2 (b) 0.15 (c) -2 (d) -19573 (e) 2 b Which is the seventh smallest value? (a) 2/11 (b) -3155 (c) 3 (d) 0.1 (e) -3 (f) 22 (g) 0.5 f What is the smallest value in -3/8, -9, 0.718012? -9 What is the second smallest value in 11, -0.4, -3/8, -2/11, 2, -10? -0.4 Which is the fourth biggest value? (a) 0.1 (b) -1.44 (c) -8 (d) 40 (e) 1/8 (f) 1 a What is the second smallest value in 1/13, -1/11, -7, 0.2, -558, -2? -7 Which is the third biggest value? (a) 725087 (b) -1/3 (c) 12 b Which is the second biggest value? (a) -10/3 (b) -0.3 (c) 20 (d) -2/5 (e) -13/2 (f) -5 b Which is the biggest value? (a) 5 (b) -0.532 (c) 3/4 (d) -14/9 (e) 4/17 (f) -1/3 a What is the second biggest value in 3, 0.4, -8.591, 1/2, 4? 3 What is the smallest value in 0.1, 12393, -10098? -10098 Which is the fourth smallest value? (a) 1/8 (b) -4 (c) 0.1 (d) 4/7 (e) 1 (f) 2/73 (g) -0.3 c Which is the fourth biggest value? (a) 9 (b) -5 (c) 0.5 (d) 46 (e) -0.3 (f) -4368 e Which is the fifth biggest value? (a) -579 (b) 0.3 (c) 3/5 (d) 0.03 (e) -2 (f) -3/581 e Which is the fifth biggest value? (a) -2 (b) 5048 (c) 7.2 (d) -1 (e) 0 a What is the third biggest value in 32, 2/17, -3, -18? -3 What is the sixth biggest value in 0.4, -1/3, -2/15, -4/5, 0.07464, 2, -13/3? -4/5 Which is the smallest value? (a) 3 (b) 2/115 (c) -0.4 (d) 0 (e) 1 (f) -4487 (g) 0.5 f Which is the third smallest value? (a) -27 (b) -0.29 (c) 8195 c Which is the third biggest value? (a) 32.87077 (b) -2/1
{ "pile_set_name": "DM Mathematics" }
et q = -9.9 + 9.96. What is the smallest value in 2/13, 2, q? q Let l = 17 - 16. Let z(f) = -5*f + 2. Let k be z(l). Which is the third biggest value? (a) 3/4 (b) -4 (c) k b Let o = 21119/25 + -845. Let y = o - -61/150. Let p be -1 + 1 + (-4)/6. Which is the second smallest value? (a) y (b) -0.1 (c) p b Let u be (-2)/(-10)*5/(-4). Suppose -2*y + 0*y - 3 = 3*k, 0 = 5*k + y + 12. Let s = -31 + 63/2. Which is the second biggest value? (a) s (b) u (c) k b Let l be 0/(-3)*(-4)/(-8). Suppose l + 3 = -s. Suppose 2*b = 11 - 1. What is the second biggest value in -2, s, b? -2 Let y = 1.2 - -2.8. Which is the second biggest value? (a) 3 (b) y (c) -0.1 a Let s = -0.21 - -0.41. What is the third biggest value in 0.4, s, 0? 0 Let p = 12 - 2. Let o = p - 5. Which is the third smallest value? (a) -2 (b) o (c) -1/7 b Let h = -27.2 + 23. Let r = 4 + h. Let a = 6.7 - 7. What is the second smallest value in r, a, 0.1? r Suppose -96 = 8*m - 4*m. Let y = m + 70/3. Let o = -7/27 + -2/27. Which is the smallest value? (a) o (b) 2 (c) y c Let n = 97 + -479/5. Let o = -0.6 + 0.3. Let s = 1 + -2. What is the third biggest value in o, s, n? s Let r = -19 - -16. Which is the smallest value? (a) r (b) -0.5 (c) 1/5 a Let u = -1278/13 - -98. What is the second biggest value in 1/2, -4, -1/2, u? u Let q(d) = -d**3 + 4*d**2 - 2*d + 6. Let b be q(4). Let c = 0.01 + 0.39. Let y = -6.4 + 6. What is the second biggest value in y, b, c? y Let s = -0.13 - -0.23. Let w = s + 0.4. What is the third smallest value in w, -1/8, -1/6? w Suppose -2*a + y = 3*y - 12, -15 = -5*a - 2*y. Let u = -3 + 12. Let o be u/(-3) - 54/(-21). What is the smallest value in a, -0.3, o? o Let j be (-16)/(-4)*206/6. Let p = j - 136. Which is the second biggest value? (a) 3 (b) p (c) 2/5 b Let t be (-3)/2*4/9. Let i = -0.05 - 2.95. Let x = -4 + 8. Which is the second biggest value? (a) i (b) t (c) x b Suppose 0 = 5*q + 3*b + 30, 0*q - 2*b = 3*q + 17. Let j be (-2)/12*q/1. What is the third smallest value in -2, -3, j? j Let v = -4 + 6. Suppose 9*g - 15 = 4*g. Let u(a) = -2*a + 1. Let o be u(g). What is the second biggest value in o, -4/7, v? -4/7 Let b = 17 - 9. Let r = b + -8. What is the second biggest value in r, -1/2, -4? -1/2 Let x(w) = -w**3 - 7*w**2 - 7*w - 1. Let o be x(-6). Let l = o - 9. Let k = l + 16/3. Which is the second biggest value? (a) -6/11 (b) 4 (c) k c Let u = -5.2 + 0.2. Which is the third biggest value? (a) u (b) 5 (c) 0 a Let h be -1*2 - 1/1. Let y be ((-4)/(-6))/(h/9). Suppose -s + x + 14 = -2*x, 0 = 2*s + 3*x + 8. What is the second biggest value in y, 0.4, s? 0.4 Let z be 4/(-6) + (-8)/(-6). What is the third smallest value in z, 0.1, -4? z Let c = 1103 - 1670. Let s = -1049/2 - c. Let u = s + -44. What is the third biggest value in -4, u, 2? -4 Let t be (-1 + 5)/(5 - 3). Let x be 4/(-5)*(-1)/t. What is the third biggest value in 2/3, 5, x? x Let z = -12.6 + 13. What is the second biggest value in -5, -3/7, z? -3/7 Let o = -4.98 - 0.02. Let l = o - -5.32. Let f = l + 0.08. What is the smallest value in 3, f, 2/7? 2/7 Suppose -l + 2*z = 0, 3*l - 6*z + z = 1. Which is the smallest value? (a) 0.1 (b) l (c) 4/5 a Let u be (2/(-5))/((-1)/(-10)). Let z = 153 - 155.76. Let x = z - 0.24. What is the second smallest value in 0.2, u, x? x Let y = -0.25 - 16.75. Let h = y + 16.91. Which is the biggest value? (a) h (b) 1 (c) -5 b Let u = 11 - 10.6. Which is the biggest value? (a) u (b) 3 (c) 2 b Suppose -7*s = -2*s - 15. What is the third biggest value in s, -0.4, -4, 7/2? -0.4 Let a = 0.22 + -4.22. What is the biggest value in -3, -6/7, a? -6/7 Let w be (-42)/(-10) + (4 - (1 - -7)). What is the third smallest value in 1, 0.5, -0.03, w? 0.5 Let s = 10 - 6. Let z = -139/2 - -70. Which is the second smallest value? (a) 3 (b) s (c) z a Suppose 0 = -p + 4*p. Let j be ((-4)/3 - p) + 2. Let y be (-1)/(-4) + 3/(-60). Which is the third biggest value? (a) y (b) 5 (c) j a Let z = 122021/7 - 17291. Let l = z - 140. What is the third biggest value in 3, 2/3, l? l Let v = -0.11 - 0.39. What is the third smallest value in v, -4, -1? v Let m = 487/7 - 69. Let o = m + -17/42. What is the third biggest value in o, -0.3, -2/9? -0.3 Let t = -3220/143 - -246/11. What is the biggest value in -13, t, 2? 2 Let c = 588 - 8824/15. Let v = c + -7/30. What is the smallest value in v, -1, -0.3? -1 Suppose -2*m - 22 = 5*w, -3*w - 2*w + 4*m - 16 = 0. Let n = -10/7 - -64/35. Which is the smallest value? (a) n (b) w (c) -3 b Let n = 19.7 - 20. Which is the third biggest value? (a) n (b) 1 (c) 3 a Let n(h) = -h**2 + 3*h + 2. Let k be n(3). Let m = -7 + 1. Let s = m - -3. Which is the biggest value? (a) 4 (b) s (c) k a Let y be (-9)/(-36) + 17/(-36). Which is the biggest value? (a) 0.3 (b) -0.9 (c) y a Let n = 126 + -127. What is the second smallest value in -2/13, n, 2, -4? n Suppose -2*m + 2 = -0*m. Which is the second biggest value? (a) m (b) 4 (c) 3 c Suppose -l - l + v = 0, 2*l = 5*v + 8. Which is the third biggest value? (a) 0.5 (b) l (c) 2/7 b Let x be (-8)/(-3) + 1 - 3. Suppose -4*s + 14 = 2*w, 4*s = -0*s + 8. Let j be (-2)/2 - 0 - w. What is the smallest value in 0.4, j, x? j Let c be 20/(-150) + (-52)/(-90). What is the second biggest value in 0.2, c, -4, 7? c Let r be ((-6)/9)/(16/6). Which is the third biggest value? (a) -5/6 (b) -4/3 (c) r b Let h = 0 - -2. Suppose h*r = 3*r - 8. Let l be (-7)/(-28) + (-26)/r. Which is the biggest value? (a) -1 (b) 3 (c) l b Let t(i) = 2*i - 1. Let h be t(1). Let w = h + -6. Which is the third smallest value? (a) -1 (b) w (c) 0.09 c Let u be (-4)/(-3)*(-27)/(-2). Let k be 3*(19/u - 1). Let z = 3.1 - 3. What is the second biggest value in z, k, -3/7? z Suppose -5*t = 3*f + 34, 3*f + 0*f = -9. Let g be 0/(-2) + (-2 - 0). Which is the third biggest value? (a) t (b) g (c) 5 a Let i = -25 + 33. What is the second biggest value in 4, -4, i? 4 Suppose 0 = 5*x - 2*r - 5, r = 3*x + x - 1. Let n = -6 + 10. Let y = n + -2. Which is the smallest value? (a) 5 (b) x (c) y b Let x = -0.07 - -0.06. Which is the third smallest value? (a) 2 (b) 0 (c) -2/7 (d) x b Suppose j + 2*i = 5, -j + 5*i - 2 = 21. Let t = 4.4 - -0.6. What is the smallest value in j, 3, t? j Let v = -166 + 176.7. Let s = 11 - v. Which is the third smallest value? (a) 0.2 (b) -3 (c) s c Let i = 0.05 - -4.95. Let r = -0.14 + -0.16. Which is the smallest value? (a) r (b) i (c) 2 a Let j be -2 + (38/(-1) - 2). Let i be 2/6 - (-20)/j. Let y = 0.16 + -4.16. What is the smallest value in y, -1/2, i? y Let z = 0 - -5. Let u = -1 - -0.6. What is the second biggest value in z, 1/9, u? 1/9 Let h = -3 - -2.5. Suppose -4 = 4*y - 2*p + 2, -3*y = 2*p - 13. Let f be (0 - y)*8/24. Which is the smallest value? (a) h (b) f (c) 5 a Let f = -0.1 + -0.1. Let p be -1 + (-2)/((-42)/(-7569)). Let z = -362 - p. Which is the second biggest value? (a) f (b) z (c) -0.4 c Let t be ((-6)/4)/((-2)/(-72)). Let x be 2*(t/4)/(-3). Let w be ((-6)/(-8))/(x/(-6)). Which is the smallest value? (a) w (b) -3 (c) 0.3 b Suppose -9 + 36 = 3*c. Let w be 14/(-63) + 2/c. What is the second biggest value in 0.4, w, -2/13? w Let h = -3.09 + 1.13. Let p = -4.04 - -4. Let n = h + p. Which is the second biggest value? (a) 0.2 (b) -1 (c) n b Let s = 628/2149 + -2/307. Which is the third biggest value? (a) -11 (b) -0.2 (c) s a Let f = 1593/7 + -228. Let v = 2 + -5. Let r be ((-2)/(-3))/(10/3). What is the third biggest value in r, v, f? v Let t = 0.5 - 0.1. What is the third smallest value in 5, -3/2, t? 5 Let x = -232/3 - -78. Let g = -6 + 1. Let y = -4 - -3.7. What is the smallest value in x, y, g? g Let j = -62/51 + -2/17. Let f = 8.4 - 8. Let u = -8 - -3. What is the third smallest value in f, u, j? f Let a = -17 + 17.1. What is the smallest value in 1/6, -1, a? -1 Let h = 0.043 + 0.157. What is the second smallest value in h, -1/3, 2/13? 2/13 Let g(i) = i**3 + 4*i**2 - i + 18. Let k be g(-5). What is the third smallest value in k, 0.3, -1? 0.3 Let g = 10 - 16. Let f be (g/20)/(2/(-65)). Let b = -10 + f. What is the second smallest value in 2/7, b, 1/5? 1/5 Let d = 87 + -610/7. What is the second smallest value in -2/9, d, -0.5? -2/9 Let v = 0.202 + 7.898. Let f = v -
{ "pile_set_name": "DM Mathematics" }
u) - u**2 - 2*u**2 + 2*u**2. 8*u**2 Expand (w + w - 3*w)*(w**3 - 4*w**3 + 6*w**3) - 8*w**4 + w**4 + 2*w**4. -8*w**4 Expand (-m + m - 2*m)*(1 - 1 + 3*m) + 2*m**2 + 3*m - 4 - 3*m. -4*m**2 - 4 Expand -2*p + 1 - 1 + (0 + 2 - 1)*(0*p + p + 0*p) + 2*p + 0*p - 5*p. -4*p Expand (-3*w + w + 3*w)*(-3 + 0 + 4)*(-7 - 6 + 4)*(2 + 5 - 3). -36*w Expand (-3*n**3 - n + n)*(n**2 + n**2 - 4*n**2). 6*n**5 Expand (-2*b**2 + 3*b**2 - 2*b**2)*(17 + 13 + 16 + 1). -47*b**2 Expand -5*y**2 - 2*y**2 + 5*y**2 + (0 + 0 + y)*(-2*y - 2 + 2). -4*y**2 Expand (l + 3 + 1 - 2 + (3 - 2 + 1)*(-4*l + 2*l + 0*l))*(0*l + 10*l - l). -27*l**2 + 18*l Expand (0*a + 8*a - 22*a)*(-2 + 1 + 0). 14*a Expand 5*y**2 - 5*y**2 - y**4 + (2*y + 2*y - 3*y)*(-4*y**3 + y**3 + y**3) + (0*y**4 - 2*y**4 + 0*y**4)*(-3 - 2 + 2)*(0 + 0 + 1). 3*y**4 Expand (2*a**3 - a + a)*(2 - 2*a - 2)*(3 - 1 + 2). -16*a**4 Expand (3*q**3 - q**3 - 5*q**3)*(q + q + 0*q) - 2*q - 16*q**3 + 3*q**4 + 16*q**3. -3*q**4 - 2*q Expand (-1 + 1 + h**2)*((-4 + 4 - 1)*(-h - 1 + 1) - 7 - 2*h - 9 + 6). -h**3 - 10*h**2 Expand (0*i + 0*i + 2 + 3*i)*(2 - 1 + 1). 6*i + 4 Expand (4 - 4 - 2)*(-5*n + n + 2*n)*(n**2 + 16*n**2 + n**2)*(0*n + 2*n - n). 72*n**4 Expand (-5*n**3 + 9*n**3 + 14*n**3)*(1 - 3*n + 1 + 2*n). -18*n**4 + 36*n**3 Expand (28 - 40 + 26)*(3*m**5 + 0*m**5 - 5*m**5). -28*m**5 Expand (-3*i**4 + i**4 + 4*i**4)*(83 - 33 - 34 - 4*i). -8*i**5 + 32*i**4 Expand (-4*x + x - 3*x)*(1 + x - 1). -6*x**2 Expand (-4*x + 0*x + 2*x)*(2 + 2*x - 2 + x + x - 3*x + (-3*x + 3*x - 2*x)*(-4 + 3 - 1)). -10*x**2 Expand (2 - 2 + 1)*((2*o - o + 0*o)*(-4*o + 3*o - 2*o) + o + 2*o**2 - o - 4 + 4 + 2*o**2). o**2 Expand (0*u + u**2 + 0*u)*(-3*u**3 + 2*u**3 - u**3) - 5*u**5 + 5*u**5 - 2*u**5 + (-3*u + 2*u**2 + 3*u)*(u**3 - 3*u + 3*u). -2*u**5 Expand (4 - 4 + 2*h)*(-h**4 + h - h) + 3*h**5 - 4*h**5 - h**5 + 2*h**5 - 3*h**2 + 3*h**2 + h**5 + 50*h**5 - 2*h**5. 47*h**5 Expand (0 + 2 - 1)*(3*w**2 + 6*w**2 + 2*w**2). 11*w**2 Expand 5*o**4 + 4*o**4 - 4*o**4 + (1 - 4 + 1)*(5*o**4 + 0*o**4 - 3*o**4) + 4*o - 2*o**4 - 4*o. -o**4 Expand (0*o - o - o + (-1 + 4 - 4)*(-1 + 1 - o) + 6*o - 3*o - 4*o + (2*o - 1 + 1)*(-2 - 2 + 3))*(-2*o**2 - 2*o**2 + 2*o**2). 8*o**3 Expand (-3 + 3 - 1)*(f + 0*f - 3*f). 2*f Expand (170 + 61 - 48)*(-4 + b + 4). 183*b Expand ((-j - 3*j + 3*j)*(4*j**2 - 2*j**2 + 0*j**2) - 2*j**3 + j**3 - j**3)*(-12 - 5*j + 12) + j**4 + 0*j**4 - 3*j**4. 18*j**4 Expand (2*k + 0*k - k)*(k - k - 2*k) + 3*k - 3*k - 2*k**2 - 3*k**2 + k**2 - 2*k**2 + 5*k - 5*k - 2*k**2 + 0*k**2 - 4*k**2 - 4*k**2. -18*k**2 Expand (-3*j**2 + 0*j - 3*j**2 - 2*j)*(-4 + 5*j + 4). -30*j**3 - 10*j**2 Expand (-8*b**3 + b**2 + 10*b**3 - b + 0*b)*(-8*b + 6*b - 2*b). -8*b**4 - 4*b**3 + 4*b**2 Expand 8*g**4 + 0*g**4 - g**4 + (3*g**2 + 4 - 4)*(3*g**2 - 6*g**2 + 2*g**2). 4*g**4 Expand -6*p + p**2 + 6*p + p**3 - 2*p**3 - 4*p + 4*p + 0*p**3 + 2*p**3 - p**3 + (-2*p + 2*p - 2*p**2)*(-3*p - p + 3*p) - 22*p + 22*p + 4*p**3. 6*p**3 + p**2 Expand (-4 + 4 - 2)*(-5 + 5 - 6*q + (5*q - q - 3*q)*(0 - 1 + 3)). 8*q Expand n**5 + n**5 - n**5 + (6*n - 6*n + 3*n**3)*(2 - 3*n**2 - 2). -8*n**5 Expand (3*d**2 - 4*d**2 + 6*d**2)*(-d + 3*d + 2*d). 20*d**3 Expand 0*i**2 + 0*i**2 + 3*i**4 + (2*i**2 - 2*i**2 - 2*i**2)*(-3*i - 2*i**2 + 3*i). 7*i**4 Expand (0*w**2 + 4*w**2 + 2*w**2 - 2*w**2 + w**2 + 0*w**2 + (-2*w + 0*w + w)*(0*w + w + 0*w))*(-1 - 1 + 1). -4*w**2 Expand 3*p**5 - p**5 + 0*p**5 + (-2*p**2 - 10 + 10)*(2*p**3 - 2*p + 2*p). -2*p**5 Expand (0*x + x - 4*x)*(-2 - x + 3*x + 0). -6*x**2 + 6*x Expand (0 - 2*x + 0)*(2*x**3 - x**4 - 2*x**3) + (0*x**2 + 0*x**2 + x**3)*(4*x**2 - 3*x**2 + 0*x**2) + 3*x**5 + x**4 - x**4 - 2*x**5 - 4 + 4. 4*x**5 Expand t**2 + 2*t**2 - 2*t**2 + (-2*t**2 + 1 - 1)*(-5 + 2 + 4) - 2*t**2 + 3*t**2 - 3*t**2 + 4*t**2 + 0*t**2 - 2*t**2. -t**2 Expand 0*t**2 + 0*t**2 + 5*t**5 + (-t**2 - 2*t**2 + 4*t**2)*(-2*t**2 + 2*t**2 + t**3) + 2*t**5 - 7*t**2 + 7*t**2. 8*t**5 Expand (6*g**3 - 8 + 8)*(-3*g + 3*g + g) + 5*g**4 + 0*g**4 - 3*g**4 + (-2*g**4 + 0*g**4 - g**4)*(1 + 0 - 3). 14*g**4 Expand 0*d + 2*d - d + 0*d + 0*d + d + 4 + d - 4 + (-d + 0*d - d)*(0 + 0 - 1) - 2 + 13*d + 2. 18*d Expand 5*u**5 - 3*u**5 - u**5 + 3*u**5 + 2*u**5 - 3*u**5 + (-2*u**2 - u**2 + 5*u**2)*(u**3 + 4*u**2 - 4*u**2). 5*u**5 Expand (-2*k - 2*k + 2*k)*(5 - 3 - 4)*(3 - 2 - 3)*(-4 + 2 + 4). -16*k Expand (-7*v + 2*v + v)*(-v + v - v**2 + 2*v**2 + v**2 - 4*v**2 + (3*v + 3*v - 4*v)*(-v + v - v) - 5 + 5 - 2*v**2 + 0*v**2 + v**2 - 2*v**2)*(-1 + 0 + 3). 56*v**3 Expand (2 + a - 2)*(86*a - 86*a - 115*a**2 - 26*a**2). -141*a**3 Expand (-3 + 1 + 2*n**5 - n**5)*(4 - 2 + 1). 3*n**5 - 6 Expand (3 - 1 - 5)*(-3*s**2 - 8*s**2 + s**2 + (2*s + 2*s - 2*s)*(3 - 2*s - 3) - 2 + 2 - s**2 - 3*s - 2*s**2 + 3*s + 3 - 3 + 2*s**2). 45*s**2 Expand (2*v**2 - 3*v**2 - 2*v**2)*(10 - 7 + 3)*(-1 - 1 + 1). 18*v**2 Expand a**5 + 4*a**5 - 4*a**5 + (-2*a + 0*a + 4*a)*(18 - 18 + 20*a**4). 41*a**5 Expand (0*s + 2*s + 0*s)*(-2*s - 1 + 1). -4*s**2 Expand 5*d + d - 2 - 5*d + (-2*d + 0*d + 3*d)*(2 - 4 + 7). 6*d - 2 Expand 2*k - k**4 - 2*k + (k - 3*k + 0*k)*(-1 + 1 - k)*(0*k**2 - 3*k**2 + 2*k**2). -3*k**4 Expand (2*z - 2 + 2)*(-2*z - 4*z + 4*z) + 50*z**2 - 22*z**2 - 5*z**2. 19*z**2 Expand (-2*v - 1 + 1)*(0 - 6 + 2) - 38*v + 20*v + 26*v - 2 + 2 - 2*v + (-1 + 2 - 3)*(-2*v - 3 + 3). 18*v Expand (5*f + 174 - 174)*(-3 + 1 + 3). 5*f Expand (-2*v - v + 5*v)*(0*v**3 + 0*v**3 + v**3) + (-4*v**2 + 0*v**2 + 6*v**2)*(v**2 - 4*v**2 - v**2). -6*v**4 Expand (-4*u**3 - 2*u**3 + 5*u**3)*(-3*u + u - 4*u - 3)*(-4*u + 4*u + 2*u). 12*u**5 + 6*u**4 Expand o**2 + o**2 + 0*o**2 + (6*o + 3*o - 3*o)*(4*o - o - o) + (2*o - o + 0*o)*(0*o - 3*o + 2*o). 13*o**2 Expand (2 + 0*k - 5*k + 0)*(0 + 0 + 3). -15*k + 6 Expand ((-2 + 1 + 0)*(2*w + 0*w - 4*w) - 2*w - 2*w + 6*w + w - 3*w + w - 3*w + 4*w + w + 2*w - 4*w - w)*(0*w**4 - 6*w**4 + 5*w**4). -2*w**5 Expand (-a**3 + 2*a - 2*a + (-2*a**2 + 2*a**2 - 2*a**2)*(-a - a + 0*a))*(-6*a + 1 - 1). -18*a**4 Expand (-2 + 2 - 2*z)*(-2*z + 0*z + 3*z) - 4*z**2 - z**2 + 4*z**2 + (-2*z + 0*z + z)*(3*z - 2*z - 6*z). 2*z**2 Expand 3*w**2 + 2*w**2 + w - 4*w**2 + (-2*w + 7*w - 3*w)*(0*w - 2*w - 2*w). -7*w**2 + w Expand (-5 + 2 + 2)*(7*v**4 + 17*v**4 - 6*v**4). -18*v**4 Expand 3 + 3*w**3 - 3 + 1 - 1 + w**3 + (2*w + 0*w - 4*w)*(3*w**2 + 0*w**2 - 4*w**2) + 5*w**2 - 5*w**2 - 2*w**3 + 3*w**3 + 0*w**3 - w**3. 6*w**3 Expand (-35*m + 18*m**2 + 35*m)*(6*m**3 - 2*m**3 - 2*m**3) + m + 2*m**3 - m - 4*m**5. 32*m**5 + 2*m**3 Expand (-24*j + 24*j - 9*j**2)*(-j - 2*j + j) + 0*j**3 - j**3 + 2*j**3 + (j + 2*j**2 - j)*(-j + 0*j + 0*j) - 4*j**3 + 4*j**3 - 2*j**3 + 5*j**3 - j**3 - 2*j**3. 17*j**3 Expand -q + 1 - 1 - 3 - 2*q + 3 + (-1 - 2 + 1)*(-q - 3*q + 6*q) + 0 + 0 - 3*q + (-3 - 1 + 3)*(-3 + 2*q + 3) - q + 3*q + 0*q + (-q - q + 0*q)*(-1 - 5 + 4). -6*q Expand (0 - 1 - 2)*(2*r + 0*r + 0*r) + (-2*r + 0*r - r)*(1 + 1 + 0). -12*r Expand (-5 + 5 - 2*y)*(-y + 0*y + 2*y + 0*y - y + 0*y + (2 + 2*y - 2)*(3 - 3 + 1) - 2*y - 4*y + y). 6*y**2 Expand (-2*p + 5*p - p)*(-2 + 7 - 3) + 0 + 0 - 2*p + (1 + 2 - 2)*(p - 2*p + 3*p) - 3*p + p + 3*p. 5*p Expand (-r**3 + 0*r**2 + 0*r**2)*(3 - 3 + 4 - r). r**4 - 4*r**3 Expand (-o - 4*o + 2*o)*(-o + 6*o + 4*o). -27*o**2 Expand (3 - 2 + 0)*(c - 3*c + 0*c + 3 - 4*c - 3 + (0 + 1 + 0)*(-3*c + 2*c - c)). -8*c Expand (1 + 0 - 5)*(1 - 6*g + 2 + 4*g)*(-3*g + 3*g + 5*g**2). 40*g**3 - 60*g**2 Expand (-b + 2*b - 3*b)*(-1 + 1 + 2*b) + b + b**2 - b + (-6 + 3 + 1)*(6*b**2 - 3*b**2 + 0*b**2). -9*b**2 Expand -3*q - 3*q + 5*q + (6*q - q - 3*q)*(0 + 3 - 4) + 5*q - 4*q + 0*q - q + 6*q - 2*q. q Expand -1 + 1 + d**4 + (-5*d**3 + 4*d - 4*d)*(-3*d + 2*d + 0*d). 6*d**4 Expand (4*x - 3*x + x)*(3*x - 3*x - 3*x) - 4*x**2 + 6*x**2 + 0*x**2 - 7*x**2 + x**2 + x**2. -9*x**2 Expand (o - 7 + 7)*(-4*o**4 - 6*o**3 + 6*o**3) + o**5 + 0*o**2 + 0*o**2. -3*o**5 Expand (22*s + 178 - 178)*(-2*s**3 + 6*s**2 - 6*s**2). -44*s**4 Expand (1 - 1 - 2*f**4)*(-3 - 5 + 4). 8*f**4 Expand (3 + 6*x - 4 - 1)*(2*x - 2*x - x**4). -6*x**5 + 2*x**4 Expand (0 - 1 + 4)*(3*b - 2*b - 2*b) - b - 3 - 5*b + 5*b. -4*b - 3 Expand (n**2 + 7*n**2 - 4*n**2)*(4 + 4*n**2 - 5 - n**2). 12*n**4 - 4*n**2 Expand (49*y - 113 + 113)*(0 - 5 + 3)*(-2*y**2 + 0*y**2 + 0*y**2). 196*y**3 Expand (-4 + h + 2*h - 4*h)*(2 - 5 + 1) + 5 + 2*h - 5. 4*h + 8 Expand (1 + 0 + 0)*(3*u**4
{ "pile_set_name": "DM Mathematics" }
d 18. 18 Suppose -12*g + 6*g = 396. Let d = 71 + g. Calculate the greatest common factor of d and 10. 5 Let w(s) = s**2 + 6*s - 12. Let k be w(4). Calculate the greatest common factor of k and 35. 7 Let w = 58 - -310. What is the highest common divisor of w and 23? 23 Let r(f) = -11*f**3 + 23*f**3 + 5*f - 30 - 13*f**2 - 11*f**3. Let d be r(13). Calculate the greatest common divisor of 14 and d. 7 Suppose -2*i - 6 = -d + 10, 3*d + 2*i = 88. Suppose -d = -5*n + 3*k, -8 = 2*k + 2*k. What is the highest common factor of 1 and n? 1 Suppose -b + 5 = 0, 5*v - 31 = -b + 49. Let x be (1 + -25)*(-415)/249. Calculate the greatest common divisor of x and v. 5 Suppose 4*c + 13 = 2*y - 257, -2*y + 246 = 4*c. Calculate the greatest common divisor of y and 215. 43 Let u be 1696/56 - (-4)/(-14). Let q = u - 15. What is the highest common divisor of 10 and q? 5 Let q be (-3 + 2)*4/(-2). Suppose 3*n + 7*n - 220 = 0. Calculate the highest common divisor of q and n. 2 Let g(y) = 15*y**2 + 3*y - 5. Let o be g(5). Suppose -i - o = -6*i. Let c be (1 + 2)/((-33)/(-77)). Calculate the greatest common divisor of c and i. 7 Let o(n) = 5*n**3 - 2*n**2 - 9*n + 12. Let a be o(2). Suppose 4*t = w + 3*t - 40, -w - t = -38. What is the greatest common divisor of a and w? 13 Suppose 0 = -5*v - 3*a + 42, 0*v + 14 = v + 2*a. Let y(q) = 18*q - 6. Let i be y(2). What is the greatest common factor of v and i? 6 Let d be ((-4)/(-6))/(((-144)/(-1701))/8). What is the highest common factor of 18 and d? 9 Suppose 15 = 5*l, 3*q - 3*l = -17 + 98. What is the highest common factor of 10 and q? 10 Suppose 0 = 3*c + 7 - 34. Let d = 45 - c. What is the greatest common factor of 24 and d? 12 Let y = 13 + -5. Let r = 2 + 0. Calculate the greatest common divisor of y and r. 2 Let h = -192 - -205. What is the greatest common divisor of 13 and h? 13 Let w = -912 - -922. What is the highest common factor of 1870 and w? 10 Let i(k) = k**2 - 5*k - 2. Let v be i(4). Let z be -6*v/(-9)*-1. Let h be (z/(-3))/(8/(-24)). Calculate the highest common factor of h and 1. 1 Let a(p) = p**2 - 11*p - 7. Let h be a(12). Suppose -h*o = j - 41, -j - 4 = -0*j. Calculate the greatest common divisor of 81 and o. 9 Let g(x) = x**2 - 26*x + 403. Let z be g(22). Calculate the greatest common divisor of 63 and z. 63 Suppose -2*k - x = -35, -6*k - 3*x = -4*k - 41. Suppose -5*h = 10 - 90. Calculate the highest common divisor of h and k. 16 Suppose -3 = -3*c - 0. Let v(p) = 8423*p - 8423*p + 6*p**2 + 7*p**2. Let x be v(c). What is the greatest common factor of x and 39? 13 Let z(q) = -10*q**3 + 14*q**2 - 9*q - 3. Let d be z(-4). What is the greatest common factor of d and 345? 69 Let k(h) = -h**3 + 4*h**2 + 6*h - 5. Let f be k(5). Suppose 4*a - a - 27 = f. What is the highest common factor of 81 and a? 9 Let x = -479 - -789. Calculate the greatest common divisor of x and 5. 5 Suppose -4*k + 52 = 5*v - v, -3*v + 23 = k. What is the highest common factor of 112 and k? 8 Suppose -2*f = 3*m, 0 = 4*m + 3*f + 1. Suppose 5 + 1 = -2*s - 4*g, -g = -m*s - 6. Let l be (s + 1 - 22)/(-1). What is the highest common divisor of l and 12? 12 Suppose -2*s = -4*z - 126, -5*s + 91 = -5*z - 229. What is the highest common divisor of s and 13? 13 Let n = 62 + -67. Let z be (-14 - n)*(-2 - -1). Suppose -3*f = -2 - 7. What is the highest common divisor of z and f? 3 Let b = 285 + -237. Calculate the greatest common divisor of b and 16. 16 Let s(p) = -12*p**3 - p**2 + 7*p - 10. Let b be s(-4). What is the greatest common divisor of b and 17? 17 Let x(v) = v**3 - 6*v**2 + 5*v - 8. Let t be x(6). Suppose 0 = -3*n + 59 + 40. Calculate the highest common divisor of n and t. 11 Suppose -15 = -4*z + 5. Suppose -z*o + 336 = -2*o. Let a be ((-8)/(-14))/(6/42)*4. Calculate the highest common divisor of a and o. 16 Suppose -22*a + 29*a - 35 = 0. Suppose -85 = -k - a*i + 65, k = -i + 166. Calculate the greatest common divisor of k and 10. 10 Let t(l) = l**2 + 5*l - 9. Let s be t(-6). Let x be (-1 + -1)*(s - -1). Suppose -x*n + 432 = 2*n. Calculate the greatest common factor of 8 and n. 8 Suppose -15*s + 14*s = -12. What is the highest common factor of s and 588? 12 Let v(y) = 3*y**3 - 49*y**2 + 17*y + 15. Let u be v(16). What is the greatest common factor of u and 124? 31 Let n(x) = 4*x**2 + 176*x + 180. Let j be n(-43). Let d = -11 - -27. Calculate the highest common divisor of d and j. 8 Suppose -7 = -u - 1. Suppose 11*w - 210 = u*w. Calculate the greatest common factor of 6 and w. 6 Let q be -21*3*1/3. Let v be 6/q - 1216/56. Let f = v - -30. Calculate the greatest common divisor of f and 56. 8 Suppose -3*j = 4*t - 482, -474 = -4*t - 2*j + 3*j. Suppose 5*u - 2*u + 2*v - 57 = 0, 0 = 5*v - 15. Calculate the highest common factor of t and u. 17 Let c be (4/(-7))/((-1)/21*-6). Let a be 3/c - 2457/(-42). Calculate the highest common divisor of 3 and a. 3 Suppose 0 = 3*l - 4*t - 246, -5*l - 28*t = -31*t - 410. What is the highest common factor of l and 533? 41 Let p be 1*(1 + -5) + 3 - -6. Let y be 160/(p - (-2 + 6)). Calculate the highest common divisor of 64 and y. 32 Suppose 1200 = 2*a - 5*q, 6*a - a - 2979 = 2*q. Calculate the greatest common divisor of 85 and a. 85 Let p(w) = 19*w**2 - 3*w + 4. Let s be p(1). Let d be (-96)/s + 4 + 267/15. What is the greatest common divisor of d and 17? 17 Let w = 887 - 484. Calculate the highest common factor of 26 and w. 13 Suppose 10*c - 4488 = -23*c. Calculate the highest common factor of 102 and c. 34 Let g be -2 + 5 - 0/5. Suppose 3*j = -j + 4, g*u = 2*j + 25. What is the highest common factor of 9 and u? 9 Let k be (-21)/(42/4)*(-59 + -1). What is the greatest common factor of k and 90? 30 Let o = -66 + 56. Suppose 0 = 4*j + 97 - 1. Let w = o - j. What is the highest common divisor of w and 21? 7 Let j = -481 + 488. What is the greatest common divisor of 112 and j? 7 Let p = -8 + 9. Let w = p - 5. Let k = w + 7. Calculate the highest common factor of 33 and k. 3 Suppose 3*z - 12 = -3. Let r = -20 - -13. Let p = 31 + r. Calculate the greatest common factor of p and z. 3 Let a(k) = -2*k**3 + 47*k**2 - 64*k + 13. Let p be a(22). Calculate the highest common factor of 513 and p. 57 Suppose -3*t + 2*t + 4 = 0. Let j = 8 + -2. What is the greatest common divisor of t and j? 2 Suppose -6*u + 3*u - 20 = 4*z, 3*u - 10 = 2*z. Suppose u = -5*f + 2*m + 24 + 162, -2*f - 3*m = -63. Calculate the greatest common factor of f and 9. 9 Let j be ((-16)/(-12) - 2)/(3/(-45)). What is the greatest common divisor of 55 and j? 5 Suppose 4 = 2*k - 0. Let h be k/(244/80 - 3). Calculate the highest common divisor of 10 and h. 10 Let s = 33 + 63. Calculate the greatest common divisor of 32 and s. 32 Let j(r) = r**3 + r**2 + 2*r + 28. Let f be -2 - (-11)/(11/2). Let h be j(f). Calculate the greatest common divisor of 112 and h. 28 Suppose w - 35 = -4*f, -5*f = 2*w - 6*w + 245. What is the greatest common factor of w and 25? 5 Let r be ((-4)/(-5))/((-4)/60). Let x be (-8)/6*18/r. What is the highest common factor of 3 and x? 1 Let u = -2827 - -2942. Calculate the highest common divisor of 25 and u. 5 Suppose 4*a + 16 = l - 52, 0 = -3*a - 9. Suppose 33*r - 38*r + 3*c = -25, 6*r - c = 43. What is the greatest common factor of l and r? 8 Let h be 186/4*(-8)/(-12). Let w be ((-31)/(-3))/(5/135). What is the highest common factor of h and w? 31 Suppose -y - 6*p + p = -6, p - 32 = -3*y. Suppose y = 3*d - 22. What is the highest common factor of d and 99? 11 Let m(z) = z**3 - 12*z**2 + 13*z - 7. Let s be m(11). Let d = 335 - 140. Calculate the highest common factor of d and s. 15 Let c = 189 - 147. Calculate the highest common factor of c and 42. 42 Suppose 71*k + 25 = 2*u + 68*k, 3*u = k + 41. What is the highest common divisor of 161 and u? 7 Let u(l) = l**3 + l**2 - 1. Let y = 1 - 0. Let b be u(y). Let m = -2908 + 2909. Calculate the highest common factor of m and b. 1 Let v = -39 + 67. Suppose -c + v = -16. Suppose -7*z - 381 = -409. Calculate the greatest common divisor of c and z. 4 Suppose -527 - 733 = -7*m. Calculate the highest common divisor of m and 80. 20 Let m = -22 - -29. Let f be m/((-28)/36) - 1. Let l be (-48)/9*15/f. What is the highest common divisor of 24 and l? 8 Let r be (-70)/(-6) + (-16)/24. Let s be -1*33*(-6)/6. What is
{ "pile_set_name": "DM Mathematics" }
0). 3, 179 Suppose w + 474 - 1539 = -3*g, w + 2*g = 1069. What are the prime factors of w? 3, 359 Suppose -p - 7 = -2*d + 1, p + 5*d = -1. What are the prime factors of (-2)/3 - (912/(-18) - p)? 2, 11 Let w(a) = -31*a**3 - 3*a - 21. What are the prime factors of w(-3)? 3, 5, 11 Let u(z) be the second derivative of 65*z**3/6 - 3*z**2/2 + 7*z. List the prime factors of u(1). 2, 31 Suppose 0 = 20*a - 27*a + 616. What are the prime factors of a? 2, 11 Suppose 5*c - 4*c + 3*o - 578 = 0, -2*o + 2302 = 4*c. List the prime factors of c. 5, 23 Let s(g) = 7*g**2 - 3*g - 13. Let n(c) = -c**2 + c. Let r(f) = 6*n(f) + s(f). List the prime factors of r(-7). 3, 5 Let w(y) = -8*y**3 + 2*y**2 - 3*y - 4. List the prime factors of w(-3). 239 Suppose 3*p - 4*h - 2527 = 0, -8*p + p - h = -5886. List the prime factors of p. 29 Suppose 4*r + u - 412 = 5*u, -5*r + 2*u + 521 = 0. Suppose r + 99 = 4*l. What are the prime factors of l? 3, 17 Suppose -153 = -6*k + 555. Let m = 228 - k. List the prime factors of m. 2, 5, 11 Let p(z) = 17*z**3 + z**2 + 19*z - 7. List the prime factors of p(4). 3, 17, 23 Let r(w) = 116*w + 3. Let y be r(-3). Let d = y - -637. List the prime factors of d. 2, 73 What are the prime factors of (2973/6)/((-75)/(-10) - 7)? 991 List the prime factors of 3 - -14*(-1029)/(-6). 2, 601 Suppose 385 = 5*m + 2*h, -m - 155 = -3*m - h. List the prime factors of m. 3, 5 Let b = 109 + 581. List the prime factors of b. 2, 3, 5, 23 Let d(k) = 4*k + 161. List the prime factors of d(8). 193 Let m = -6618 - -10219. List the prime factors of m. 13, 277 Suppose 3*x - x + 2*d = 12, -x - 4*d = 0. Suppose -315 = -i - x*i. List the prime factors of i. 5, 7 Let x = -8118 - -14902. List the prime factors of x. 2, 53 Let m(b) = 18*b**3 + 2 + 2*b**2 + 3*b - 8*b**3 - 13*b**3. Let l be m(-1). List the prime factors of (l - 6 - 4)*-10. 2, 3, 5 Let h be (-52)/(-13)*(-10)/16*-2. Suppose -i + 3*i = h*z + 225, i - 140 = -3*z. List the prime factors of i. 5 Let z(g) = g + 466. List the prime factors of z(33). 499 Let r(y) = 5*y**3 - y**2 + 13*y - 64. What are the prime factors of r(7)? 1693 Let u be 18*(-3)/(-2) + -3. Let d be u + (3 - 3 - -3). List the prime factors of (-39)/(-2)*36/d. 2, 13 Let q = 523 - 792. Let u = -114 - q. List the prime factors of u. 5, 31 Let y be 0/((-4 + 9 + -4)/1). Suppose 2*g = 4*z - 448, 2*z + 2*g - g - 224 = y. List the prime factors of z. 2, 7 Let i be 3 - (-1 - 0)*3. Suppose i = 2*n - 22. Let s = 32 - n. List the prime factors of s. 2, 3 Suppose -z - v + 558 = -279, -2507 = -3*z - v. List the prime factors of z. 5, 167 Suppose 4*l + 87 = 3*y, 2*l - 47 = -4*y + 47. Let m be (-8 - -9)*(2 + y). Let f = m + -16. What are the prime factors of f? 11 Let q = 173 + -147. Suppose -4*n = -q - 258. List the prime factors of n. 71 Suppose 2*f + 30 = -f. Let y be (-2 + (-8)/f)*-10. Suppose -212 + y = -5*j + 3*g, 3*j - 2*g - 119 = 0. What are the prime factors of j? 43 Suppose 6 + 6 = 4*s. Suppose -3*w + 0 = -3, 0 = -s*r + 4*w + 65. What are the prime factors of r? 23 Let w be (-2)/4 - (-235)/10. Suppose w + 17 = 2*a. Suppose -2*i + a = -i. List the prime factors of i. 2, 5 Suppose -4*m - 8 = 0, 4*d + 8*m - 1964 = 4*m. List the prime factors of d. 17, 29 Suppose 3*t = -4*g + 55, -7*t + 5*g + 45 = -2*t. Let l = t + -16. List the prime factors of l - (-3 - 23) - -3. 2, 13 Let c(y) = -4*y + 25. Let p be 3 - (4 + (-2 - -3)*-1). List the prime factors of c(p). 5 Suppose -62*i + 22638 = -29*i. List the prime factors of i. 2, 7 Let b be 6/9*(-171)/(-2). Suppose -3*q - c - b = -7*q, 0 = q + 2*c - 3. What are the prime factors of q? 13 Suppose -1089 = 6*t - 4929. What are the prime factors of t? 2, 5 Let y(a) = a**3 - 5*a**2 + 7*a + 4. Let c be y(6). Suppose -4*t - h + 239 + 80 = 0, -t = h - c. Suppose 0 = -5*f + t - 24. List the prime factors of f. 11 Suppose o = 5*l + 277, -4*l - 1141 - 307 = -5*o. What are the prime factors of o? 2, 73 Let j(z) = -5*z + 31. Let x = -35 + 27. What are the prime factors of j(x)? 71 Let l(k) = -4 + 3*k + 5*k + 5 - 3. Suppose 2*x = -0*x + 4. List the prime factors of l(x). 2, 7 Let c(a) = -1. Let h(m) = -18*m + 31. Let t(s) = -3*c(s) - h(s). What are the prime factors of t(11)? 2, 5, 17 Suppose -487 = 18*j - 2989. What are the prime factors of j? 139 Let n = -491 + 905. List the prime factors of n. 2, 3, 23 Let d be 2*(3 + (-50)/(-2)). Suppose 139 = 4*t - 3*o - 2*o, 2*o = -2*t + d. What are the prime factors of t? 31 List the prime factors of 33/(4 + (-17)/5). 5, 11 Suppose 85*m = 82*m + 1953. What are the prime factors of m? 3, 7, 31 Suppose -y = -3*t - 820, -4*y + 2*y + 1629 = 5*t. List the prime factors of y. 19, 43 Suppose 3*i = 5*u + 1, 3*u + 2 - 5 = 0. List the prime factors of (-1498)/(-8) - 3*i/24. 11, 17 Suppose 2*m - 15 - 5079 = 0. Let x = -837 + m. What are the prime factors of x/42 - 2/(-7)? 41 Suppose -4*o - 32 = -2*m, 44 = -0*o - 4*o - m. List the prime factors of o/(-25) + (-248)/(-5). 2, 5 Suppose -3*z + 3 = -3. Suppose 0 = -y - 0*p - z*p + 1, 5*y - 5*p - 20 = 0. What are the prime factors of y? 3 Let x(d) = -2*d + 155. Let i be x(0). Let q be (i/10)/(1/2). Let u = q + -11. What are the prime factors of u? 2, 5 Suppose -398*a + 405*a - 3241 = 0. List the prime factors of a. 463 Suppose -t + 51 = -1019. List the prime factors of t. 2, 5, 107 Suppose 429 = 7*f - 4*f. Let z = f - 68. What are the prime factors of z? 3, 5 Let c(y) = y**3 - 3*y**2 + y + 12. Let f be (-2)/5 + (-608)/(-95). Let t be c(f). Suppose -60 - t = -3*o. List the prime factors of o. 2, 31 Suppose v = 3*v. Suppose v*r = -r. List the prime factors of 2 + 1 + r - 0. 3 Let j(t) = t**3 + 8*t**2 - t - 2. Let p be j(-7). Suppose i = 2*k - 34, 4*i - p = -2*k - 10. Suppose 0 = -z + k - 6. What are the prime factors of z? 2, 3 Let l = 11 + -8. Suppose 2 = 2*f, 0 = 2*g - l*f + f - 106. Suppose -5*i = y - g, -3*y + i = -2*i - 90. List the prime factors of y. 2, 17 Suppose -3*g = -5*h - 17, -21 - 10 = -3*g - 2*h. Let o = -4 + g. What are the prime factors of o? 5 Let s = -2600 - -3671. List the prime factors of s. 3, 7, 17 Let a be 6 + -1*(-2)/(-1). What are the prime factors of (0 + -31)/(a/(-8))? 2, 31 Suppose 4*h - 11 = 1. Suppose 3*y = -4*z - 20, -z + h*z = 2*y - 10. Suppose -48 = -4*l + 4*o, y*l + 66 = 5*l - 2*o. What are the prime factors of l? 2, 7 Let p be 4/((-48)/(-364)) + (-2)/(-3). Let l = p + 56. List the prime factors of l. 3, 29 Let j(x) = -37*x**3 - 3*x - 2. Let v be j(-2). Suppose -v = 3*c + 2*c. List the prime factors of c/(-8)*(-8)/(-3). 2, 5 Let i be (0 - 4) + (1 - 0) + 3. Suppose i*z + 3*z + 2*u = 66, -3*u + 63 = 3*z. What are the prime factors of z? 2, 3 List the prime factors of -740*5/(-40)*6. 3, 5, 37 Suppose 5*b - q = 3*q + 10, 0 = -5*q + 25. Suppose s = b*s - 1080. List the prime factors of s. 2, 3 Suppose 0 = -3*q + 7 - 37. Let i(x) = 11 - x**3 - 2*x - 10*x**2 + 10 - 16. What are the prime factors of i(q)? 5 Suppose 9*u - 2463 - 12441 = 0. List the prime factors of u. 2, 3, 23 Suppose -4*j + 314 = -7974. What are the prime factors of j? 2, 7, 37 Suppose -3*i - 2*y + 182 = 0, -5*y - 252 - 43 = -5*i. Suppose 10 = -2*x + i. What are the prime factors of x? 5 Let u(r) = 66*r + 4. Let i be (2 - 1)/(10 + -9). What are the prime factors of u(i)? 2, 5, 7 Let s = -717 + 2400. Suppose -10*b = -b - s. List the prime factors of b. 11, 17 Let v be (-12)/66 + 3898/22. Suppose 0 = -5*f + v + 258. What are the prime factors of f? 3, 29 Let x(w) = 86*w**2 + 27*w + 24. List the prime factors of x(-5). 2039 Let b = 8 - 3. Suppose -2*q - 1280 = -6*q. Suppose -5*z = b*p - q, 0 = -3*p - 3*z - z + 191. List the prime factors of p. 5, 13 Let s be (-5)/(3 + 76/(-26)). Let b = 153 + -244. Let j = s - b. What are the prime factors of j? 2, 13 Suppose 3*n + 121 - 34 = 0. Let o = n - -63. List the prime factors of o. 2, 17 Let t(z) = 39*z**3 + 19*z**2 - 10*z - 7. List the prime factors of t(5). 67, 79 Let y(g) = g**3 - 9*g**2 + 10*g + 12. Let q(z) = 2*z + 14. Let s be q(-3). What are the prime factors of y(s)? 2, 7 Suppose 0 = -2*y - 5 + 11. Suppose -60 = y*x - 4*x. Suppose -4*c - 3*v + x = 4, 0 = 5*c + 3*v - 67. List the prime factors of c. 11 Let q(h) = -3*h**3 - h**2 - 5. Suppose 3*m + 12 = -3*m. What are the prime factors of q(m)? 3, 5 Let y = -82 + 84. Suppo
{ "pile_set_name": "DM Mathematics" }
= -4*l + 2*l + w for l. 2 Let t(f) = f**3 + 18*f**2 - f - 16. Let o be t(-18). Solve o*p + 1 = 5 for p. 2 Let j be (-100)/(-8) - (-4)/8. Let n = 14 - j. Solve -3*h - n = -7 for h. 2 Let o = 17 + -15. Solve o = 5*a - 3 for a. 1 Let l = -45 - -50. Solve 7 = -l*x - 3 for x. -2 Suppose 0 = -w + 2*d + 20, -2*w + 46 - 3 = -3*d. Let b = w + -16. Solve 3*a - a - b = 0 for a. 5 Let j = -18 - -16. Let u be (j + 2)*(-2)/4. Solve -3*t = -u*t - 6 for t. 2 Suppose 4*h - 80 = -80. Solve h = 2*d + 10 for d. -5 Suppose -7*x = 4*z - 3*x - 44, 5*x + 15 = 5*z. Suppose h + 2*u - 3*u = 2, 0 = -h - 5*u + 8. Solve -4*q + z = h for q. 1 Suppose -2*y - 1 = 21. Let v = y + 18. Solve 9*i - v*i = 0 for i. 0 Suppose -16*z + 13*z + 15 = 0. Solve 2 = z*a - 3 for a. 1 Suppose -5*m + 1 = 5*o - 19, -m = -3*o. Suppose 2*p - 2*r - 2*r = 32, m*p = 5*r + 43. Solve -2*l - p = -0 for l. -3 Let a(v) = -v**2 + 7*v - 1. Let j be a(6). Suppose 4*p = j*l - 0*p - 76, 3*l = 4*p + 44. Let h be 4 - (-2 - 4/(-4)). Solve y - h*y - l = 0 for y. -4 Let c = 5 - 5. Suppose 3*a - 2*w - 22 = c, a - 3*w - 14 = 5. Solve -2 = -a*v - 14 for v. -3 Let m(u) = u**3 + 5*u**2 + 3*u - 2. Let d be m(-4). Let v be ((-1)/d)/((-1)/12). Suppose -4*r + 18 = -2*h, -4*h - v = -4*r + 2*r. Solve 5 - h = -c for c. -4 Let v = -2 + 4. Let x = v + -7. Let k be (-22)/x - 4/10. Solve k*w = w - 15 for w. -5 Let s = 8 + -5. Solve s*x = 2*x for x. 0 Suppose -14 = -4*o - 6. Suppose -5*l = o - 32. Solve -g = 2 - l for g. 4 Let g = -14 + 22. Let l = 4 - g. Let a = l + 4. Solve a*b - 8 = -4*b for b. 2 Let a = -3 - -3. Suppose 0 = -5*l + 4*n + 19, 3*l + a*l = -2*n + 7. Solve 0 = -l*y + 1 - 7 for y. -2 Let h be 10/2*(-2 + 3). Suppose -4*l + 27 - h = 3*d, -2*d + 4*l - 12 = 0. Suppose 2*b = 5*c - 23, -5*b + 4*c = -d*b + 17. Solve b = -n + 3 for n. 2 Let j(r) = -3*r**2 + 42*r - 39. Let g be j(13). Suppose 0 = -2*b + b - 5. Let c = b + 7. Solve c = w - g for w. 2 Let l be 4/10 + (-46)/(-10). Let s = l - 5. Let c be (-1 - 3/(-2))*s. Solve c - 3 = -t for t. 3 Let y be (3 - 3)*(-3)/(-6). Suppose -5*d = -10 - y. Solve -3*z + 1 = -d for z. 1 Let s be -1 - (-2)/((-2)/(-15)). Let y be s*((-1)/1 + 2). Let p be (-4)/14 + 284/y. Solve 0 = b + 4*b + p for b. -4 Let u(k) = 2*k**2 - 2*k + 2. Let a be u(2). Let x(b) = b**2 - 5*b - 4. Let c be x(a). Solve -4*d = -c*d + 2 for d. -1 Let r(c) = -9*c**2 + 19*c - 7. Let w(u) = -3*u**2 + 7 - 10*u - 3 + 8*u**2. Let j(d) = 4*r(d) + 7*w(d). Let y be j(5). Solve 2*n = 3 + y for n. 4 Let k = 3 - -1. Suppose -1 + k = j. Suppose -f - 2*q = j, -2*q - 18 = -2*f + 2*q. Solve -f = a - 0 for a. -3 Let k(m) be the second derivative of m**2 + 0 + 2/3*m**3 + 1/6*m**4 + 3*m. Let c be k(-2). Solve 22 = -5*s + c for s. -4 Let o(y) = -6*y + 3*y + 5 + 4*y. Let p(f) = 2*f**3 - f**2 - f - 1. Let q be p(-1). Let m be o(q). Solve 0 = m*c + 2*c for c. 0 Let z be (-1 + (-1 - -3))*1. Let x(s) = 2*s**2. Let u be x(z). Let n be (1 + -2)/(u/(-10)). Solve -5*l = n - 0 for l. -1 Let d(a) = -a**2 - 10*a - 8. Let r be d(-8). Let c = r + -4. Let q(h) = -h + 4. Let z be q(c). Solve -p + 3*p - 4 = z for p. 2 Let x(f) = 2*f - 2. Let o be x(4). Let m(v) = -v**3 + 5*v**2 + 6*v - 2. Let n be m(o). Let l be (n - -2)*2/(-2). Solve i + 2*i - 12 = l for i. 4 Suppose 0 = z + z. Suppose 0 = -z*o - o. Let j = 0 + o. Solve j*i + 16 = 4*i for i. 4 Suppose 3*b - 11 = 13. Solve 5*j - b = -18 for j. -2 Suppose 2*z + k = 9, 0 = 5*z + 3*k - 8 - 17. Suppose 2*n = 4*v - 22, -3*v + 4*n = -8*v + 47. Suppose -15 = 2*i - v*i. Solve -z*q = i + 1 for q. -2 Let h be -3 + (-4 + 8 - -7). Let v(f) be the first derivative of f**4/4 - 7*f**3/3 - 9*f**2/2 + 11*f + 1. Let b be v(h). Solve -2*g + b = -3*g for g. -3 Let x(i) = i**3 - 12*i**2 - i + 14. Let u be x(12). Solve 2*c + u = 4 for c. 1 Let o(g) = g + 5. Let t be o(0). Solve t = -b + 4 for b. -1 Let h(k) be the first derivative of k**2/2 - 7*k + 1. Let o be h(7). Solve -3*s + 7*s = o for s. 0 Let j be 12/(-18)*63/(-6). Solve 15 = -j*t + 4*t for t. -5 Suppose 5*x - 78 - 22 = 0. Solve x = 6*m - m for m. 4 Let g(f) = f**3 + 3*f**2 + f - 2. Let o be g(-2). Solve o = 4*j - 9*j - 20 for j. -4 Let i(u) = u**2 + u - 1. Let b be i(3). Solve 5*p = -1 + b for p. 2 Suppose -5*x = -22 - 33. Let y be (-64)/(-3) + 2/3. Let v be 4*(-2 - y/(-8)). Solve 0 = -v*q + x - 2 for q. 3 Let t(y) = 2*y**2 + 16*y + 12. Let o(l) = 6*l + 2. Let w be o(-2). Let h be t(w). Suppose u + 37 = 3*s + 2*s, 4*u - h = -5*s. Solve 8*x - 4*x = s for x. 2 Let r = -3 - -20. Solve 3*a + 2 = r for a. 5 Let h be 6 + 0 + -2 + 0. Let n be (h/(-12))/(2/(-30)). Suppose n*q - 4*q = 0. Solve 2*g + 0*g = q for g. 0 Suppose -5*q = -0*q - 10. Let h(a) = a**3 - 2*a**2 + 2*a - 2. Let s be h(2). Let r be (2/s)/((-2)/(-14)). Solve r*n = q*n for n. 0 Let a = -70 + 77. Solve -5*n + a = -3 for n. 2 Let z(i) = -i**2 - 10*i + 4. Let a be z(-8). Let q be a/110 - (-128)/22. Solve d - 1 + q = 0 for d. -5 Let h(c) = -c**3 - 7*c**2 + c + 10. Let q be h(-7). Suppose 24 = 3*g - 3*a, -q*g - 8 = 4*a + 3. Solve -g*t + t + 6 = 0 for t. 3 Suppose -z = 4*j - 16, -4*j - z - 2*z = -24. Let o be -2 - (j - (0 - -8)). Solve d - 4 + o = 0 for d. 1 Let i be (2/4 - 1)*-30. Solve 0*u - i = -5*u for u. 3 Let y = 93 - 63. Let h be (5/2)/(3/y). Solve -n = 4*n + h for n. -5 Suppose 0 = -d + 6*d - 20. Let t = 1 + 1. Solve d*l = -t - 18 for l. -5 Suppose 0 = -0*m - 2*m. Suppose m = -r + 4*r - 3. Let v = 10 - 7. Solve -r = -v*o + 14 for o. 5 Let t(m) = -m**2 + 7*m - 4. Suppose 4*w - 2*w - 12 = 0. Let d be t(w). Let i(z) = -z**2 + 2*z + 1. Let l be i(d). Solve j - l = 2 for j. 3 Let b be (-648)/(-63) - (24/(-21))/(-4). Solve -b = -5*g + 5 for g. 3 Let v(m) = m**2 - 14 + 14 - 6*m. Let t be v(6). Solve t = -7*k + 3*k + 12 for k. 3 Let g = 3 + -1. Let d = -2 - -6. Let p be (-2)/d + 17/2. Solve 2*w - p = -g for w. 3 Let w(l) be the third derivative of l**4/24 + l**3/2 + 2*l**2. Let h(r) = r**3 - 8*r**2 - 8*r - 5. Let m be h(9). Let s be w(m). Solve -5*c = -s - 13 for c. 4 Let s(z) = -z**3 - 4*z**2 - 3*z + 3. Let c be s(-3). Let g be 4 - ((-2)/(-1) - 3). Solve c*o = g*o for o. 0 Suppose 0 = -2*f + 2*p + 22, -4*f + 2*p + 42 = 4. Suppose 5*b + 2 + f = 5*y, 5*y + 6 = -3*b. Solve -3*c + y*c + 6 = 0 for c. 2 Let w be 1/(-1) - 1/(-1). Suppose 8 = p + c, -3*p - 4*c + 15 + 13 = w. Solve -p*f = -f for f. 0 Suppose -16*c = -21*c + 15. Solve -c*p - 2 = -4*p for p. 2 Let d be -1*3/3*-3 + 2. Solve -4 = -d*x + x for x. 1 Let i(v) = v**3 + 6*v**2 - 8*v - 7. Let d be i(-7). Let q = 2 - d. Solve -3*h + 4*h + q = 0 for h. -2 Suppose -5*m = -10*m. Solve -2*x + m*x = 6 for x. -3 Let v = -15 + 22. Let p(w) = w + 10. Let x be p(-7). Solve -x*g = -v*g + 20 for g. 5 Let p be (-231)/(-9) + (-8)/12. Solve -2*a = 3*a + p for a. -5 Let d(b) = -4*b - 50. Let w be d(-13). Solve 0*n - w = n for n. -2 Let u be (9/15)/((-3)/(-15)). Solve -16 = -u*y + 7*y for y. -4 Let v be (-163)/(-11) - (-8)/44. Suppose 4*t - 13 = v. Solve -5*c = t + 18 for c. -5 Let q = -5 - -13. Suppose -u = u + 2*t, 3*u = 2*t. Suppose -2*a - 4*f + q = u, -3*a + f - 2 = -0*f. Solve a = 4*z - 9*z - 15 for z. -3 Let h = 5 + -1. Suppose -h*w = -w - 15. Let f = 0 + 21. Solve -f = 4*b - w for b. -4 Let n(h) = -2*h + 2. Let b be n(0). Solve -6 = b*t - 4 for t. -1 Let q = 0 - -2. Suppose -3*b = -5 + q. Suppose -r = -3*r - 4*v + 8, -4*r - 4*v = -20. Solve r = d + b for d. 5 Suppose 2*i - 2 = 12. Solve 8 = -11*w + i*w for w. -2 Let d be 2/(-1) + 3 + 1. Suppose -2*u + 27 = d*u + g, 33 = 5*u + g. Suppose 10 = u*m - m. Solve o + 6 = m for o. -4 Let q be 7/14 - (-29)/2. Suppose -4*b + 25 = -5*w, -5*b + b = 3*w + q. Solve 3*r + b*r = 12 for r. 4 Let j(x) = x**3 + 2*x**2 - 2*x - 2. Let d be j(2). Solve 0 = -3*c + c + d for c. 5 Let t be -1*(-4 + 1) - 1. Suppose 3*h = 3, -2*r + 1 - t = -h. Solve r*k = -k for k. 0 Let c be (10 + -8)*1*3. Solve -c*s + 15 = -s for s. 3 Let p = -83 + 92. Solve 0 = -3*j - 0*j - p for j. -3 Let s(w) = -w**2 + 6*w + 5. Suppose -q - 2*q = -18. Let x be s(q). Solve -13 = -2*y - x for y. 4 Let c be 3 - (5/5 - 19). Let f = 0 + 0. Suppose -2*g = -f*n - 5*n + 25, -2*g = 2*n - 10. Solve g = 4*p - c + 9 for p. 3 Let m(q) = q**2 + 2 - 2 + 5. Let y be 3 - (2 + -5)*-1. Let a be m(y). Solve -18 = -a*d + 2 for d. 4 Let m = -43 + 46. Solve 0 = -3*f + m + 9 for f. 4 Let c be (12/9)/
{ "pile_set_name": "DM Mathematics" }
b + v. List the prime factors of m. 2 Let f = -38 - -62. Let k = f - 9. List the prime factors of k. 3, 5 What are the prime factors of 50 + 4 + -10 + 3? 47 Let x = 92 - 112. Let k(s) = -s**3 - 3*s**2 + 4*s + 4. Let c be k(-5). Let l = c + x. List the prime factors of l. 2, 7 Suppose 2*b = 5*w - 333, 2*w - 5*b + 240 = 6*w. Suppose 0 = m + 4*m - w. List the prime factors of m. 13 Let t be (-5)/(-15) - 2/(-3). Let f(w) = 0 + 2*w**2 - t + 1 + w. What are the prime factors of f(-3)? 3, 5 What are the prime factors of (-9)/(9/(-4))*373/4? 373 Suppose 2*x = -3*x - 10. Let u be 3 + 0 + (x - 0). What are the prime factors of 1/(-1)*-9*u? 3 Let n(d) = 8*d. Let h be n(1). Let b(f) = 2*f - 9. Let i be b(h). Let v = 17 - i. List the prime factors of v. 2, 5 Suppose -17*z + 16*z + 77 = 0. List the prime factors of z. 7, 11 Suppose 7*d - 24 = -d. Let m(v) be the first derivative of 2*v**3/3 - 3*v**2/2 + 2*v - 1. List the prime factors of m(d). 11 Let z(o) = 2*o**2 + 9*o - 10. Let b(y) = y**2 + 8*y - 10. Let m(t) = -3*b(t) + 2*z(t). What are the prime factors of m(5)? 5 Let a(b) = 2*b**2 + 16*b + 40. What are the prime factors of a(-12)? 2, 17 Let c(b) = b**3 - 3*b**2 + b + 2. Let h be c(3). Suppose -h = -3*j + 1. Let f = j - -4. What are the prime factors of f? 2, 3 Suppose -3 + 11 = 4*c. Let r be (6/(-4))/(c/(-4)). Suppose -t - 10 = -r*t, -5*v - 5*t + 40 = 0. What are the prime factors of v? 3 Let g = -9 - -14. Suppose g*t = 4*h + 140, -2 = -h + 3. What are the prime factors of t? 2 List the prime factors of (-4)/18 - (-2598)/27. 2, 3 Let t = -15 + 10. Let i be (t/2)/((-1)/2). Let l(w) = w**2 - 3*w + 5. List the prime factors of l(i). 3, 5 Let a = 0 + 5. Let r(u) = -u**2 + 5*u. Let o be r(a). Let l = 9 - o. List the prime factors of l. 3 Suppose -430 = -2*n - 3*n. What are the prime factors of n? 2, 43 Let x = -129 + 284. List the prime factors of x. 5, 31 Let w be ((-3)/2)/(4/16). Let k = w - -11. What are the prime factors of k? 5 Let p(l) = l**3 - 2*l**2 + 1. Let y be p(-1). What are the prime factors of y/(-4) + 99/6? 17 Suppose -3*v - 60 = 2*v. Let p = -5 - v. List the prime factors of p. 7 Suppose -3*o + 20 = -2*u, -3*u + 2*o = 3*o + 8. Let a be 1/4 - 83/u. Suppose l = -2*l + a. What are the prime factors of l? 7 Let p = 10 + -6. Let l(r) = -r**2 + 8*r + 5. Let c be l(p). Suppose -c + 1 = -2*d. List the prime factors of d. 2, 5 Suppose -2*c - c = 15. Suppose 0*b + 1 = b. What are the prime factors of -10*b*2/c? 2 Let d(n) = -n**3 - 3*n**2 + 3*n + 4. Let f = -10 + 6. Let k be d(f). List the prime factors of k/20 + 23/5. 5 Suppose 2*d - 350 = -3*d. Suppose -5*p - d = -2*b - 3*b, -3*b + 22 = 2*p. List the prime factors of b. 2, 5 Let h = 107 + -55. List the prime factors of h. 2, 13 List the prime factors of (-2452)/(-18) + 4/(-18). 2, 17 What are the prime factors of 1 + 1 - (0 + -12)? 2, 7 Let k be 21/6 - (-3)/(-2). Let n = 2 + 0. Suppose k*w + u = 3*u + 30, u = n*w - 27. List the prime factors of w. 2, 3 What are the prime factors of (-808)/(-6) + (32/(-12) - -2)? 2, 67 Let c = 67 + -36. Suppose -c = 5*g - 1. Let u = g + 10. What are the prime factors of u? 2 Let m be (-3)/4*(-6 - -2). Suppose 0 = 4*c + 2*i + i - 340, 0 = 3*c - 3*i - 255. Suppose -m*b = 4*a - 51, a - c = -5*b - a. List the prime factors of b. 17 List the prime factors of (171/(7 - 4))/(3/2). 2, 19 Let w(m) = m**3 + 6*m**2 + m + 5. Suppose f + s = -5, -2*f - 2*s = s + 10. List the prime factors of w(f). 5 Let v(k) = -4*k**3 + 2*k**2 - 1. Let x be v(2). Suppose -143 = -4*b - 5*y, 2*b = -b + 3*y + 114. Let z = b + x. What are the prime factors of z? 2, 3 Let q = 754 + -474. List the prime factors of q. 2, 5, 7 Let g(w) = 6 + 6*w - 7*w**2 - w**2 + 11*w**2. List the prime factors of g(-4). 2, 3, 5 Let w = 8 + -17. Let j = -4 - w. What are the prime factors of j? 5 Suppose -10 = 3*y + 56. Let k = 35 + y. List the prime factors of k. 13 Let n be 2/(-9) + (-6)/(-27). Let h = 1 - n. List the prime factors of 14*((-1)/h)/(-2). 7 Let h = -229 + 326. What are the prime factors of h? 97 Let l be (1 - -3) + (1 - 3). Let o be (-5)/(-2) + l/(-4). Suppose a = o*a - 2. What are the prime factors of a? 2 Let z(o) = o**2 - 5*o + 3. Let m(b) = -3*b - 14. Let u be m(-10). Let p = u + -11. What are the prime factors of z(p)? 3 Let z be ((-15)/(-9) - 0)*3. Suppose 2*h - 16 = z*n, -4*n = 2*h - 14 - 2. List the prime factors of h. 2 Let r = 42 + -20. Suppose -5*a + 14 = -3*a. Suppose 3*h - r = -a. List the prime factors of h. 5 Suppose 0*p - 5*l = 5*p + 110, -4*p + 2*l = 82. Let a = 32 + p. What are the prime factors of a? 11 Suppose -3*p - 1 + 13 = 0. Let i be 4/4*1*12. Suppose -p*x + a = 6*a - 48, a - i = -x. List the prime factors of x. 2, 3 Let j(x) be the second derivative of -x**3/6 + x**2 + 3*x. Let n be j(9). Let d(c) = c**3 + 7*c**2 - c - 4. List the prime factors of d(n). 3 Let s(y) = -4*y - 11. List the prime factors of s(-9). 5 Let a(h) = 6*h + 2. Let c be a(2). Let t be 24/c + 6/21. Suppose -t*s = -5*w + 120, 0 = -3*w + s + 3*s + 86. What are the prime factors of w? 2, 11 Let o(m) = -m**2 - 7*m + 3. Let x be o(-7). Let f be x - ((0 - 1) + 20). Let s = f + 24. What are the prime factors of s? 2 Suppose -5*l + 254 = -271. List the prime factors of l. 3, 5, 7 Let a(i) = -16*i + 55. What are the prime factors of a(-5)? 3, 5 Let w = 8 - -2. Let d(i) = -i**2 - 2*i - 1. Let s be d(-1). Suppose s = 3*j - j - 8, -5*j + w = -2*c. List the prime factors of c. 5 Suppose -g - 4*g + 145 = 4*z, -3*g = -3. What are the prime factors of z? 5, 7 Suppose -19 = 5*a - 6*a + 3*t, 2*t - 76 = -4*a. What are the prime factors of a? 19 Let p(a) = 2*a**3 - 11*a**2 + 14*a - 3. Let i(x) = x**3 + x. Let g(q) = -i(q) + p(q). List the prime factors of g(10). 3 Suppose 27 + 9 = 6*d. List the prime factors of d. 2, 3 Suppose 0*b - 5*b = -25. Suppose s + 20 = 3*j, 0 = b*j + 2*s + s - 10. Suppose 4*g - 3*g - j*u - 23 = 0, -g - 5*u + 3 = 0. What are the prime factors of g? 13 Let h = 21 - -21. Let o be (-77)/h - 1/6. List the prime factors of o/2 - (0 - 16). 3, 5 Suppose 3*f = -5*g - 8 - 13, 2*f + 2*g = -10. List the prime factors of (-6 - -7)*(-12)/f. 2, 3 Let g be ((-12)/15 + 0)*10. Let a be (-1)/(-3) + g/(-3). Let y = a + 3. What are the prime factors of y? 2, 3 Let t(c) = c**3 - 3*c + 2. Let n(h) = h**2 - 9*h + 8. Let f be n(7). Let d = -4 - f. List the prime factors of t(d). 2 Let q = 123 - 22. List the prime factors of q. 101 Let v(r) be the third derivative of -17*r**4/24 - r**3/6 + 4*r**2. List the prime factors of v(-1). 2 Let w be 2/5*(0 + 5). Suppose 26 + 4 = w*b. What are the prime factors of b? 3, 5 Suppose p - 17 = 28. What are the prime factors of p? 3, 5 Let f(j) = -5*j - 1. List the prime factors of f(-8). 3, 13 Suppose -1 = -2*l - 3*i - 9, -4*l - 5*i = 14. List the prime factors of 196/12 + l/3. 2 Suppose 5*k - 25 = -5*r, -4*k - 8 = -2*r + 2. Suppose -36 = -5*g + x - 2*x, -4*g + r*x + 52 = 0. List the prime factors of g. 2 Let y(g) = 0 + 2 + 0*g**2 + g + 3*g**2 - 2*g**2. What are the prime factors of y(-3)? 2 Suppose 3*n + 12 = 0, n + 31 = 3*v - 3*n. Suppose 0 = -v*c - 3*p + 107, 2*c - 3*p = 3*c - 19. List the prime factors of c. 2, 11 Suppose 4*x + 5*d = -244, -2*x - 35 - 87 = -5*d. Let t = -17 - x. What are the prime factors of t? 2, 11 What are the prime factors of 14 - (3 - 4)*1? 3, 5 Suppose -10 = 3*z + 5, -z + 141 = v. What are the prime factors of v? 2, 73 Let a be 104/3 + (-3)/(-9). Suppose 5*z - 30 = -0*z. Suppose a = z*p - p. List the prime factors of p. 7 Let l(c) = 7*c - 15. List the prime factors of l(7). 2, 17 Let y be (-86)/(-6) - 3/9. Suppose -4*n + 6*n - 56 = -4*x, y = x - 2*n. List the prime factors of x. 2, 7 Let l = 7 - 2. Suppose 0*b = -4*b + m - 35, 3*b = -l*m - 55. List the prime factors of ((-6)/(-5))/((-2)/b). 2, 3 Suppose 3*k = -0*k + 9. What are the prime factors of (9 + 6)*1/k? 5 What are the prime factors of ((-21)/14)/(3/(-20))? 2, 5 Suppose h = 2*h - 6. Suppose -4*i - 3*p + 15 = 0, 2*p + h = 5*i - 7. List the prime factors of i. 3 Let j(s) = -s + 8. Let y be j(6). Suppose -3*c = -34 - 11. List the prime factors of y/(-5) + 36/c. 2 Suppose -r = 4*r + 70. List the prime factors of 2 + (1 - r) - 0. 17 Suppose -g + 5 = c, 0*c - 20 = -4*c - 5*g. Let d = -46 + 88. Suppose -53 = -c*l +
{ "pile_set_name": "DM Mathematics" }
+ h*s**2 and give h. 96 Express u**2 + 3*u**4 + 4*u**2 - 3*u**2 + (-u**2 + 6*u**2 + 8*u**2)*(u**2 + 2*u**2 - 4*u**2) + u**4 - 1 + 1 as o*u + c*u**2 + q*u**3 + h + j*u**4 and give j. -9 Rearrange -90 + 7*g + 90 to q*g + j and give q. 7 Rearrange (-1 + 3 - 1)*(3 - 5 + 1)*(3*g - 3*g - g) to the form v*g + w and give w. 0 Express (h - 5 + 5)*(-2*h + 3*h - 3*h) + h**2 + 2 - 2 as g*h + s*h**2 + o and give s. -1 Rearrange -o**2 + 2*o**3 - 8*o + 15*o - 5*o to the form n + a*o + z*o**3 + l*o**2 and give z. 2 Express -7*t - 1 + 9*t + 9*t**2 + 1 as u*t**2 + w*t + x and give w. 2 Express (2*f - 2*f + 4*f**2)*(-3*f - 2*f + 3*f + (-1 + 3 - 1)*(0*f - 2*f + f) - 3*f + 0*f + 4*f - 2) as c*f + i*f**2 + y + r*f**3 and give r. -8 Express (4 + 4*i**2 - 4)*(i + 0*i - 2*i) + 3*i**2 + 11*i**2 - 7*i**2 - 2*i**3 + i**3 - 2 + 2 in the form h*i**2 + o*i + m*i**3 + z and give h. 7 Express -4*z - z**3 + z + 2*z + 2 + z**2 as v*z**2 + h*z**3 + m*z + g and give h. -1 Express (i - 2*i + 0*i)*(2*i + 0*i - i) - 39*i**2 - 37*i**2 + 68*i**2 in the form b*i**2 + f*i + g and give b. -9 Express -13*d**4 + 13*d + 7*d**4 + 3*d**2 + 4*d**4 in the form a*d + u*d**2 + s + i*d**4 + p*d**3 and give i. -2 Express (-2*t - 1 + 1)*(5*t - 5 + 5)*(-10 - 5 + 5) in the form v*t**2 + r + f*t and give v. 100 Rearrange a + 2*a + 4*a**2 + 5*a**2 - 7*a**2 - a**3 + 4*a**4 to c*a + z*a**2 + j*a**3 + x*a**4 + s and give j. -1 Express -8*k**2 - 4*k + 10*k**2 + 8*k as s*k + f + y*k**2 and give s. 4 Rearrange (2*t**2 - 2*t**2 - 3*t**2)*(t + 0*t - 3*t) to the form j*t**3 + x*t**2 + r + z*t and give j. 6 Express (-1 - f + 9 - f)*(-f**2 + 2*f**2 + 0*f**2) as w + o*f + j*f**3 + y*f**2 and give y. 8 Express 16*y**2 - 18*y**2 - 43*y**2 as j*y + t*y**2 + u and give t. -45 Express -10*m**3 + 5*m**3 + 0*m**2 - 2*m - 5*m**2 + 2*m**2 in the form x + r*m**2 + q*m + p*m**3 and give x. 0 Rearrange (0*k - 34 - 4*k + 6*k)*(-2*k - 2*k + 2*k) to y + r*k**2 + l*k and give y. 0 Rearrange 1 + 21*s**2 - 3*s**2 - 1 to o*s + c*s**2 + u and give o. 0 Express -19*q - 11*q + 68*q + (-2*q + q + 0*q)*(-1 + 0 + 2) in the form z + v*q and give v. 37 Rearrange -4*f + 3*f + 3*f + 3*f to n + h*f and give h. 5 Express -4*o + 12*o**2 + 0*o - 27*o - 13*o**2 in the form x*o + b + t*o**2 and give x. -31 Express 4*b**4 + 2*b**4 - 5*b**4 + b**4 + 0*b**4 + b**4 + (b**2 - b**2 - b**4)*(2 - 3 - 3) as a*b**3 + m + f*b**2 + n*b**4 + t*b and give n. 7 Express (20 - 34 - 27 - 56)*(-z**3 - 3*z**3 + 5*z**3) in the form v*z**3 + k*z + f*z**2 + j and give v. -97 Rearrange (-27*u**3 + 5*u**3 - 4*u**3)*(-2*u + 0*u + 4*u + (3 + 0 - 4)*(0 + u + 0)) to w*u + z*u**4 + x*u**2 + q + n*u**3 and give z. -26 Rearrange 25*m**2 + 2 - 38*m**2 + 16*m**2 to the form t*m**2 + l + c*m and give t. 3 Rearrange i**2 + i + 3*i + 0*i to s*i + f + m*i**2 and give m. 1 Rearrange -2*f - 5*f + 10*f + 24*f to the form x*f + j and give j. 0 Express (5 + 0 - 3)*(8*t - 4*t + 4*t)*(t - 5*t + 0*t) as q*t + m*t**2 + v and give m. -64 Rearrange 6*k**3 + 1 - k**3 - k**2 - 7*k**3 + 5*k**4 - 2 to h + m*k**3 + o*k**2 + b*k**4 + j*k and give o. -1 Express (-2*a - 2 + 2)*(-7 + 17 + 19) in the form o*a + b and give o. -58 Rearrange -y - 4*y**2 + 11*y**2 - 2*y**2 to the form f + c*y + r*y**2 and give r. 5 Rearrange 2 - 13*z**3 + 1 - 34*z + 34*z to the form j + u*z**3 + k*z + v*z**2 and give j. 3 Rearrange (16 + 3 - 3)*(-3*o - 3*o + 4*o) + 3 - 2*o - 1 + 4*o + (1 - 2 - 1)*(-o - o + 0*o) to b*o + h and give h. 2 Express (-59*i + 54*i - 2 + 3)*(-2*i**2 + 3*i**2 + i**2) as n*i**2 + x*i**3 + r + m*i and give x. -10 Express 5*v**4 - 1 + v**3 + 3*v**3 + 3 - 2*v**3 - 5*v in the form p*v + q*v**2 + s + a*v**3 + x*v**4 and give s. 2 Rearrange 3*w + w - 3*w - 9*w to the form z*w + t and give z. -8 Express -120*i - 3 - 3*i**3 + 120*i - 2*i**2 in the form o*i**2 + k + w*i**3 + h*i and give k. -3 Express (-39690 + 2*a + 39690 - 16*a**2)*(0 + 2 + 0) as x*a**2 + n + f*a and give f. 4 Rearrange -2*t**4 - 3*t**2 + 35 - t - 36 + 5 to the form y + v*t**4 + x*t**2 + q*t**3 + k*t and give x. -3 Rearrange -68*i + 0 + 0 + 89*i to the form j + f*i and give f. 21 Express -15*p**2 - 3*p**2 + 7*p**2 - 13*p**2 in the form t + b*p + u*p**2 and give u. -24 Express -99 - 115*m + 192 - 93 in the form c*m + i and give c. -115 Express 0*x**3 - 3*x**3 + 5*x**3 + 16*x as f + r*x**2 + i*x**3 + u*x and give i. 2 Express (-4 - 1 + 3)*(0 + 3 - 1)*((0 - 1 - 1)*(0*d + d - 2*d) + d - 1 + 1 - 2*d - 2*d + 3*d) in the form i*d + k and give i. -8 Express 2*u**2 - 2*u + 2*u + (-1 - 4 + 3)*(4*u**2 - 3*u**2 + 0*u**2) + 2*u**2 - 8*u**2 - 3*u**2 as f + q*u + b*u**2 and give b. -9 Express -2*m**2 - 3*m**2 + 3*m**2 + (-1 + 1 + 2*m)*(2*m - 3*m - m) - 8*m**2 + 15*m**2 + 18*m**2 as h + d*m**2 + p*m and give d. 19 Express -4 + h**2 + 9*h**4 + 5 - h - 7*h**4 as v*h**2 + l + g*h**3 + j*h**4 + x*h and give j. 2 Express ((0 + 1 + 0)*(-m + 2*m + m) - m - 3*m - 3*m)*(-3*m**2 + 0 + 0) as i*m**3 + g + s*m**2 + h*m and give i. 15 Rearrange 11*g**3 - 17*g**3 + 4*g - 6*g - 16*g**2 to the form w*g + v*g**3 + j*g**2 + l and give j. -16 Express (2 + 0 - 1)*(-1 + 1 + 2*q)*(3 - 11*q - 2 + 1) as g*q**2 + x*q + t and give x. 4 Rearrange 3 - 3 + 14*a**2 to s + r*a**2 + j*a and give r. 14 Rearrange 5*b**4 + 6 + b - 3 - 3*b**4 to the form i + d*b + o*b**4 + w*b**3 + r*b**2 and give d. 1 Rearrange p - 3*p**2 + 6*p**2 - 14*p**3 - 3*p**2 to t*p**3 + a*p**2 + o*p + r and give t. -14 Rearrange 2*k**4 - 2212*k + 2 + 4*k**2 + 2*k**2 + 2212*k to the form j*k**2 + q*k**4 + p + w*k**3 + s*k and give j. 6 Rearrange -2*x**4 - x**2 - x**3 - 9*x + 4*x + 2*x + 1 to the form i*x + m + o*x**2 + u*x**3 + b*x**4 and give i. -3 Express -2 - q + 2*q + 4 + (-1 + 11 - 2)*(-3*q + 6*q + 0*q) as n + w*q and give w. 25 Express 0*i**3 + 7 + 2*i**3 - 8 as p*i + x*i**2 + r*i**3 + a and give r. 2 Express ((3 + 0 - 2)*(-4*m + 2*m + m) + 0 - 1 + 2*m + 5)*(m + 2*m - m) as u + q*m + w*m**2 and give u. 0 Express -353*n + 353*n - n**3 + 0*n**3 + 12 + 2*n**2 in the form g*n**2 + x + c*n + b*n**3 and give x. 12 Express (-4 + 1 + 0)*(2*d + 0*d - 5*d) - d - d + d in the form p + l*d and give p. 0 Express (71 - 42 + 38)*(3*i**2 - 3*i**2 - 2*i**2) - 4 + 2*i**2 + 4 in the form a*i + z + m*i**2 and give m. -132 Rearrange -2 - 9*z**2 + 6*z**2 + 3*z - z to the form w + b*z**2 + j*z and give w. -2 Rearrange -5*y - 3*y + 4*y + 3*y to the form c + l*y and give l. -1 Rearrange 2*v - 2*v - 10*v to q*v + a and give q. -10 Rearrange -6*f**3 + 8*f - 8*f + (2*f - 9*f + 3*f)*(2*f**2 - 2*f**2 - 4*f**2) to the form a*f**2 + j*f**3 + u*f + h and give j. 10 Rearrange -4*l**2 + 12*l**2 - 16*l**2 + 1 to the form g*l**2 + n*l + y and give y. 1 Rearrange -4 - 4*h**2 - h + 6*h - h + 3*h**2 to the form g*h**2 + b*h + x and give x. -4 Rearrange 2*g + 60 + 57 - 22*g**3 - 116 to the form t*g + r*g**3 + u + x*g**2 and give r. -22 Rearrange 0*c**2 - 5*c**2 - c**2 + (0 - 1 - 1)*(-c + 4*c - 4*c)*(-13 + 5*c + 13) to the form w*c + o*c**2 + v and give o. 4 Rearrange (-5 + 3 + 4)*(-14*k - 325*k - 131*k + 99*k) to p*k + r and give p. -742 Express (-32 + 44*u - 20*u - 22*u)*(2*u - u - 2*u**2 - 3*u) as a + x*u + p*u**3 + q*u**2 and give x. 64 Express 5*z**2 - 1 - 6388*z**3 + 6388*z**3 + z**4 as h*z**2 + p*z**3 + q*z**4 + u*z + c and give c. -1 Rearrange m**2 - 29 + 0*m**2 + 4*m**3 + m**2 - 3*m**3 to the form j*m + v + t*m**3 + d*m**2 and give t. 1 Express (3*s - 3*s - 2*s)*((2 - 2 - 1)*(-4 + 2 + 3) + 2 - 4 + 1 - 6 - 8 - 8) in the form m + i*s and give i. 48 Express 5 + 9 + 16*w - 15 as i + d*w and give d. 16 Express 34 - d**2 + 3*d**3 - 34 + (-5 + 1 + 1)*(-d**3 + d**3 - 2*d**3) as l*d + r*d**3 + n*d**2 + w and give r. 9 Rearrange -38*x - 13*x**2 + 38*x to r*x + k*x**2 + a and give k. -13 Rearrange 2*m**3 - m - 5 - 4*m + 0 + 6 to a*m + r + j*m**3 + g*m**2 and give r. 1 Rearrange (-14 - 54 - 8)*(-m + 2*m**2 + m) to the form j*m + i + l*m**2 and give l. -152 Express -14*k - 2*k - 2*k - k in the form w + q*k and give q. -19 Rearrange -37*r - 38*r - 3 + 72*r - 2*r**3 to the form t*r + c*r**2 + n + i*r**3 and give c. 0 Rearrange -16 + 0 + 33*u - 34*u + (-4 + 3 + 2)*(-2*u - 2*u + 5*u) - 3*u + u + 4*u to the form p*u + x and give p. 2 Express (-3*l + 1 - 1)*(l**2 + 2*l**2 - l**3 + 0*l**3) as y*l**3 + a + r*l + p*l**4 + f*l**2 and give p. 3 Rearrange 18 + 20 - 5
{ "pile_set_name": "DM Mathematics" }
-15. Suppose -q*t + 5*t = -4. Suppose 30 = -d + t*d. Does 2 divide d? True Let q(l) = 7*l**2 + 4*l + 11. Let w(h) = 6*h**2 + 3*h + 11. Let r(m) = -m**3 - 5*m**2 + 6. Let v be r(-5). Let d(u) = v*w(u) - 5*q(u). Is 2 a factor of d(0)? False Suppose 2*b + 33 + 23 = t, -2*b = -4*t + 200. Is t a multiple of 48? True Suppose 3*t - 10284 = 5*g + 1184, 0 = -3*g + 6. Let r = -2440 + t. Is 31 a factor of (r/(-35))/(4/(-10))? False Suppose -26*x + 0*x = -1872. Is x a multiple of 8? True Suppose 3*p = -2*s + 626, 265 = 4*p - s - 555. Does 31 divide p? False Let p(d) = -d + 8. Let n be p(12). Let y be (-180)/(n/(-4) + -2). Suppose 6*f - y = f. Is 9 a factor of f? True Suppose 5 - 1 = 2*m. Suppose -6*n - m*l = -3*n - 602, 2*n - 5*l - 395 = 0. Suppose -4*y = -9*y + n. Does 20 divide y? True Is 17994/8 - (-378)/504 a multiple of 9? True Let k(u) = -u + 4. Let p be k(-6). Suppose -5*c + p = 0, -2*c = 2*w + 3*c. Let m(l) = l**2 - 2. Is 12 a factor of m(w)? False Suppose -2*s = 4*k + 195 + 15, -5*s = k + 480. Suppose 5 = -5*a - 2*l - 0, -3*a - 3*l = 3. Does 25 divide s/a - (-6 - -8)? False Let m = 5279 + -3738. Does 29 divide m? False Let d = -218 - -303. Is 17 a factor of d? True Let j(b) = b + 6. Let a be j(3). Is 330/a - (-2)/(-3) a multiple of 12? True Let q(c) = 16*c**3 - 4*c**2 + 9*c - 51. Is 54 a factor of q(4)? False Let q(s) = -s**2 - s - 1. Let u(d) = -8*d**2 + d + 4. Let p(o) = -4*q(o) - 2*u(o). Let v be (-3)/6 + (-5)/(-2). Is 19 a factor of p(v)? False Suppose -13*l = -193 - 301. Is 8 a factor of l? False Let f(y) be the second derivative of -y**6/360 + 11*y**5/120 + 3*y**4/8 + 4*y**3/3 - 10*y. Let g(v) be the second derivative of f(v). Is g(11) a multiple of 8? False Let q be 15/2*(-48)/(-18). Let n = q - 8. Is n a multiple of 6? True Let w be 11/((-3)/(-3)) + 4. Is 30 a factor of -25*36*(-2 - 1)/w? True Let l be (-3)/(2*(-5)/130). Let n = 63 - l. Does 17 divide n? False Let v = 110 + 198. Is v a multiple of 32? False Let l be (3/9)/(2/90). Let b = -13 + l. Suppose 5*p = 3*t + b*t - 290, -5*p = -4*t + 227. Is 21 a factor of t? True Let n = 112 - -18. Is n a multiple of 10? True Suppose -26 = 2*y + 2*n, 3*y - n + 31 + 20 = 0. Let z be ((-8)/6)/((-2)/(-12)). Is y/(-6) + z/(-24) a multiple of 3? True Let i(k) = 5*k**3 + 5*k**2 - 13. Let w(b) = -b**3 - b**2 - 1. Let x(t) = -i(t) - 6*w(t). Is x(0) a multiple of 11? False Let y(v) = -9*v**2 - 3*v - 2. Let f be y(-1). Does 2 divide (1080/(-96))/(3/f + 0)? True Suppose 40 = -5*b - 5*t, -3*b + t + 2*t = 0. Is 4 a factor of (7 - 61)/(b - -2)? False Suppose 2604*u - 2600*u = 9652. Does 23 divide u? False Let m be 2 + (4 - (1 - -3)). Suppose -5*d + 5*w + 317 = -d, 4*d - 310 = -m*w. Is d a multiple of 26? True Suppose -20 - 76 = -o. Suppose 4*a = 4*w + o, 0 = -4*a - 5*w + 55 - 4. Is 19 a factor of a? True Let q = 32 + -36. Is 14 a factor of 1 + 1 + (-9 - q) + 31? True Suppose -2*c + 4*c - 2*i = 410, i + 1045 = 5*c. Is 14 a factor of c? True Let d(i) = -91*i + 67. Is 37 a factor of d(-10)? False Let l(y) = -11*y - 158. Is 53 a factor of l(-24)? True Let w(z) = -2*z**3 - 3*z**2 - 9*z - 5. Let h(p) = 2*p + 11. Let o be h(-7). Is w(o) a multiple of 3? False Does 37 divide 84/(-8)*(-6)/9*37? True Let m = -53 - -55. Is 16 a factor of -3 + 1 + 2 + 192/m? True Let v = -4 + 6. Suppose -3*f + 20 = 5*y - 60, -3*y - 66 = -v*f. Suppose -3*n + n = -f. Is n a multiple of 15? True Suppose 0 = -3*w + 9, -v - 3 = -3*w + 6. Suppose -4*k + 4 + 4 = v. Suppose -t - k*h + 60 = t, -5*t + 145 = 4*h. Does 6 divide t? False Let l(o) be the third derivative of o**5/60 - o**4/8 - 2*o**3 - 7*o**2. Let b be l(6). Does 12 divide (b + -2)/((-10)/(-95))? False Suppose -5*b + 4*w = 69 + 7, -2*b + 4*w = 28. Let u(r) = -r**2 - 18*r + 22. Is u(b) a multiple of 7? False Let j be (-2)/18*-3 - (-374)/(-33). Suppose 68 = 2*a - 2*p, a - 4*a = 5*p - 110. Let z = a + j. Does 12 divide z? True Let y(m) be the second derivative of 3*m + 1/2*m**4 + 0 + 5/3*m**3 + 2*m**2. Does 12 divide y(-4)? True Suppose 7*p = 2*p + 95. Let j be 119/11 - (-6)/33. Let u = p - j. Is 5 a factor of u? False Suppose 0*u - 3*g - 260 = 2*u, -5*u + g = 684. Let x = 179 - u. Does 35 divide x? True Suppose -5*t = 5*m - 215, 0 = -2*t - t + m + 145. Let l = t - 20. Suppose -l - 7 = -h. Is 34 a factor of h? True Let f = -103 + 56. Let b = f - -20. Let y = 44 + b. Does 4 divide y? False Let h = 6 - 3. Suppose -4 = q - 5*s + s, -4*q = h*s - 22. Suppose 0*k + 200 = q*k. Does 11 divide k? False Suppose 0*r = 3*r + 114. Let z = r + 110. Suppose z = 4*g + o + 3*o, 5*o + 42 = g. Does 5 divide g? False Let f = 86 + -133. Let c = -22 - f. Is c a multiple of 12? False Suppose l = 0, 0 = -4*k + l + l + 8. Suppose k*n = 38 - 22. Is 2 a factor of n? True Let s(a) = a. Let y(f) = -5*f - 2. Let w(i) = 4*s(i) + y(i). Let j be w(-3). Let q(t) = 15*t**3 + t - 1. Does 5 divide q(j)? True Suppose 2*m = 0, 10*u - 90 = 9*u + 4*m. Is u a multiple of 9? True Let l = 2166 + -1387. Does 19 divide l? True Let a be 208 + ((-6)/(-9))/(6/(-27)). Suppose 0 = -5*b + w + a, -3*b + 135 = b + 5*w. Is b a multiple of 4? True Suppose -4*v = 5*j - 854, 2*j = 4*j - 5*v - 335. Suppose 2*n + 3*q - j = 235, -3*q = n - 207. Is n a multiple of 22? True Let y = 1909 - 915. Does 14 divide y? True Suppose 3*o + 4*h - 3*h = 17, 4*h - 8 = -2*o. Let s(x) = x. Let g be s(o). Does 3 divide 12 - 4*(-3)/g? False Suppose -75 = -4*r + 2*d + 3*d, -4*r - 2*d = -82. Let f be (-3 - -6) + (r - 3). Let w = 2 + f. Does 11 divide w? True Let h(z) be the second derivative of 3*z**3 - 14*z**2 - 12*z. Is h(7) a multiple of 10? False Let z(g) = -g**3 + 6*g**2 + g - 1. Let t be z(6). Is 33 a factor of (6*145)/t - (0 - -2)? False Let i be 1/((1/(-3))/(102/9)). Is (-7858)/i - 30/255 a multiple of 23? False Let m(f) = 7*f**3 + 14*f**2 + 3*f - 11. Let n(b) = b**3 + b**2 - 1. Let p(g) = m(g) - 6*n(g). Let l be (1 + 4)/(-3 - -2). Does 18 divide p(l)? False Let t(h) be the third derivative of h**4/24 + 5*h**3/6 - h**2. Let z be t(-7). Let j = 35 - z. Does 16 divide j? False Let u = 13 + -15. Let k = 5 + u. Let i(a) = 3*a - 4. Does 2 divide i(k)? False Let u = 950 + -173. Does 45 divide u? False Let k = 10 + -10. Let c be (k + 6)/((-9)/102). Let i = c - -124. Is i a multiple of 19? False Let d(s) = -s**2 - 9*s - 13. Let n be d(-6). Suppose -n*w + 4*i + 200 = -i, 2*i + 44 = w. Is 12 a factor of w? True Suppose -37 = -29*z + 2109. Is 13 a factor of z? False Suppose -4*o = 7 - 19. Suppose 2*i = 5*u, u + 0*u - o*i + 13 = 0. Is 8 a factor of u/(-12) + (-290)/(-12)? True Let x(o) = 231*o - 55. Let b be x(5). Suppose -4*k + z + 1076 = k, -5*k - 5*z + b = 0. Is 9 a factor of k? True Let h = 6 - 1. Suppose h*z + 2*j = 10, 5*j = -5*z + j + 10. Suppose -5*v = -z*k + 132, -2*k - v = -2*v - 132. Does 22 divide k? True Suppose 8731 = 40*z - 7949. Is 4 a factor of z? False Let t = 4 - 2. Is (2/3)/(t/12) a multiple of 3? False Let m(l) = 12*l**3 + 2*l**2 + 4*l - 13. Does 34 divide m(3)? False Let c = 194 + 206. Is 5 a factor of c? True Let n be 2/(-4 - (-18)/5). Let d(y) = -25*y**2 - 33*y - 44. Let k(u) = 6*u**2 + 8*u + 11. Let z(x) = 2*d(x) + 9*k(x). Is z(n) a multiple of 32? False Suppose -2 = 3*o - 14. Let q(s) = -5 + 9*s + o + 0. Is 13 a factor of q(3)? True Suppose 3*q + 4*r = 5*q - 1438, 0 = -5*q + r + 3577. Is 8 a factor of q? False Suppose 2*x + 3 = o - 2*x, -4*o = 4*x - 12. Let c be 171 - (-16)/12*o. Let r = -123 + c. Does 11 divide r? False Suppose 0*m + m - 6 = 0. Suppose m + 3 = 3*t. Suppose -2*d = t*d + 3*v - 186, 0 = -d - 2*v + 33. Is 13 a factor of d? True Let l be 2/(-5) - (-36)/90. Suppose -4*i + i = -y - 341, -i - y + 119 = l. Does 23 divide i? True Suppose 0 = 32*i - 50*i + 27378. Is i a multiple of 39? True Suppose -i - r - 4 = -11, -4 = 3*i - 2*r. Let t be i/10 + 418/10. Suppose 5*d - t = 18. Is 7 a factor of d? False Suppose -2 = -7*o + 9*o. Let w = o + -1. Is (-1)/(132/(-64) - w) a multiple of 8? True Let m(c) = 4*c**2 + 3*c + 6. Suppose -5*i + 7 = -18. Does 26 divide m(i)? False Let q be -5 + (8 - 4) - -3. Suppose q*b - 321 = -0*t - 5*t, 5*t = 4*b + 333. Is t a multiple of 20? False Suppose -2*a + 30 = -5*a. Let q = a - -6. Does 13 divide 6/24 + (-103)/q? True Let f(l) = -l + 2. Let v be f(-3). Suppose -v*j + 14 = -46. Is j a multiple of 6? True Let
{ "pile_set_name": "DM Mathematics" }
v - 4. Let y be x(3). Suppose b = n - y. Is 6 a factor of n? False Suppose -5*z + 378 = 2*w - 3*w, 0 = 2*z + 2*w - 156. Is z a multiple of 22? False Let v be (-3)/(1 + (-1)/4). Let s(r) = r**3 + 4*r**2 - 3*r - 5. Let m be s(v). Let o(c) = 3*c + 7. Is 24 a factor of o(m)? False Let f = -12 - -17. Let b = 98 + -56. Suppose 0 = -f*x + 33 + b. Is 7 a factor of x? False Suppose -2*y = -3*v - 256, -4*y + v + 1 = -511. Is 8 a factor of y? True Let z(x) = -x - 2. Let f be z(-4). Suppose -10 = f*d - 4*w, -3*w - 23 = -5*d - 5*w. Suppose -4*m + 2*m - 42 = -3*r, 5*r - 70 = d*m. Is 7 a factor of r? True Is 4*-4*(-9)/24 a multiple of 2? True Suppose -5*m - 141 = -3*c, -m + 0*m + 3 = 0. Does 12 divide c? False Let r = 3 + 6. Is 2/r - 500/(-18) a multiple of 7? True Suppose 2*h - 142 = -5*p, -2*h = -2*p - 88 - 54. Suppose -h = 4*s - 271. Is s a multiple of 17? False Suppose -4*k - 384 = -0*w - 2*w, 5*k + 382 = 2*w. Is w a multiple of 49? True Let m(d) = d + 14. Let j(r) = -2*r**2 + 2*r + 1. Let t be j(3). Does 2 divide m(t)? False Let z be (0/(-3) - 1) + 4. Suppose -z*n + 61 = -8. Does 8 divide n? False Suppose 25 - 293 = -4*p. Does 9 divide p? False Let t be ((-8)/6)/(2/(-93)). Let u = -44 - -16. Let l = u + t. Is l a multiple of 12? False Let m = 83 + 36. Suppose 0 = -3*b + m - 29. Is b a multiple of 10? True Is 29 a factor of (-4 + 11)*1160/28? True Suppose -r + 2*n + 95 = -2*n, 4*n + 253 = 3*r. Let f(p) = -122*p**3 - p**2 - p. Let z be f(-1). Let t = z - r. Is 18 a factor of t? False Let f(m) be the third derivative of 0 - 2*m**2 + 1/8*m**4 + 0*m + 1/6*m**3. Is f(1) a multiple of 3? False Let s = -132 - -188. Does 28 divide s? True Let c be (-5 - -1) + 0 - -1. Is 28 a factor of (-14)/(((-12)/(-8))/c)? True Suppose 4*a - 68 = -r, r = 2*a + 2*a + 92. Is 16 a factor of r? True Let o = 129 - 57. Does 9 divide o? True Let r = 28 + -22. Is 6 a factor of r? True Let a be -1 - 2/(-1) - -87. Is (-2)/(-5) + a/5 a multiple of 6? True Suppose 16 = -7*i + 3*i, -5*m + 3*i + 137 = 0. Let g = m - 39. Does 15 divide 2/(-7) + (-452)/g? False Let i(c) = -c**3 - 17*c**2 - 2*c + 8. Is 27 a factor of i(-17)? False Suppose 1 = -3*t + 10. Let z be (-1)/(-1) - 1*t. Does 25 divide 34 + (4*-1 - z)? False Suppose -6*m + 2*m - 4 = 0, 4*m - 44 = -2*s. Is 24 a factor of s? True Suppose 2*c + 2*j - 18 = 0, -c - 11 = -3*c + 5*j. Is c a multiple of 4? True Let g(d) = d**2 + 6*d. Let i be g(-6). Is 3 - (i + -40 + -1) a multiple of 13? False Let d(r) = r**2 + r + 6. Suppose x = -2*x. Is d(x) a multiple of 3? True Suppose 5*m + 17 = -13. Suppose 0 = 3*x - 6*x - 132. Let a = m - x. Does 19 divide a? True Let l(d) = -d**2 + 15*d - 7. Let w be l(6). Let y = w - 30. Is 17 a factor of y? True Suppose -4*u - 2*o - 20 = 2*o, -4*u + 10 = -2*o. Suppose -2*m + u*m = -32. Does 16 divide m? True Let w(a) = a - 3. Let b be w(2). Is 16 a factor of 1 - (-45 + 2/b)? True Suppose 0 = 2*g - 3*g + 9. Let z = g + -16. Does 3 divide (z - -8)*(5 + 0)? False Does 38 divide ((-578)/(-40) - (-12)/16)*15? True Let c(m) = 29*m + 3. Let x be 5/6 - 3/(-18). Is 13 a factor of c(x)? False Let n = 4 + 9. Suppose -2*h + 127 = n. Is h a multiple of 19? True Suppose 0*l = -6*l + 66. Is 4 a factor of l? False Let n(x) = x - 2. Let t be n(3). Let b(c) = 43*c**2 - 1. Let v be b(t). Suppose -7*w = -4*w - v. Is w a multiple of 6? False Let v(f) = -f**2 + f - 7. Let w be v(0). Let y(d) = d**3 + 7*d**2 - 6*d + 6. Is y(w) a multiple of 16? True Let p = -3 - -20. Is p a multiple of 17? True Let t(r) = r - 4*r - 3 + 2*r + 2*r. Let m be t(5). Suppose -22 = -m*o - 2. Is o a multiple of 10? True Let p = -4 + 4. Suppose -2*m = -p - 4. Suppose 0*g = -m*g + 10. Is 2 a factor of g? False Suppose -5*n + 4*r = -175, r + 160 = -3*n + 8*n. Does 16 divide n? False Suppose 59*u = 60*u - 5. Let r = 11 - 7. Suppose 5*j - 4*g = -32 + 174, -r*g + 158 = u*j. Is j a multiple of 15? True Suppose -9 = -3*v - 2*r, 4*v = -4*r + 5 + 3. Let g be (-32)/(-10) + (-1)/v. Suppose -5*h = 3*w - 97, -g*h + 83 = h - 3*w. Does 10 divide h? True Suppose 2*a + 28 + 40 = 0. Let l = 159 - 241. Let k = a - l. Is k a multiple of 19? False Suppose -2*n + 3*n = 0. Suppose b - 38 - 3 = n. Is 15 a factor of b? False Let h(g) = 2*g**2 + 8 + g**3 - 5*g - 2*g**2 - 6 + 6*g**2. Does 9 divide h(-6)? False Let c = 3 - -1. Suppose 1 = 4*z + 5*s - 2*s, c*s = 5*z + 22. Is ((-2)/(-1))/z - -27 a multiple of 13? True Suppose p - 6*p = -4*d - 112, -5*d - 75 = -3*p. Is p a multiple of 10? True Let f = 9 - 5. Suppose n - f*n - 120 = 0. Let w = -25 - n. Is 9 a factor of w? False Let m be (2 + 1/(-1))*0. Suppose 0 = -m*r + 3*r - 4*l - 369, r - 115 = 4*l. Let z = r - 83. Does 17 divide z? False Let l = -182 + 377. Is l a multiple of 15? True Let a(l) = l**3 + 5*l**2 + 6*l + 2. Let o be a(-4). Is 6 a factor of (-1)/(-1*(-1)/o)? True Suppose 2*t - t + 5 = 0. Does 6 divide ((-8)/t)/((-10)/(-75))? True Let s be (-448)/6 + 4/6. Let x = -52 - s. Let u = x - 12. Does 5 divide u? True Suppose -189 = -3*n + l - 0*l, 4*n + l = 252. Is n a multiple of 13? False Let p be -16*((-4)/4 + -1). Suppose p = 8*z - 6*z. Does 3 divide z? False Let b = -11 - -12. Does 13 divide (-1 - 1) + 55 - b? True Suppose 0 = -2*l + 13 + 3. Is 8 a factor of l? True Let p be -1 + 2 + (-3)/(-1). Is (-170)/p*(-20)/25 a multiple of 14? False Let b(y) = 42*y**2 - 4*y - 9. Let j(o) = -21*o**2 + 2*o + 4. Let k(r) = -3*b(r) - 7*j(r). Let v = -2 - -1. Is 11 a factor of k(v)? True Suppose 0 = 5*i, -4*f = -5*i + 2*i - 156. Is f a multiple of 13? True Suppose -11 = -5*c + 14. Let h(u) = -u**2 + 4*u - 2. Let f be h(c). Let b(j) = -j**2 - 12*j. Is 14 a factor of b(f)? False Let x be (-6)/(-8) - 25/(-20). Does 10 divide x/(-4) - (-123)/6? True Let b(k) = k**2 - 1. Let s(p) = -3*p**2 + 2*p + 2. Let l(d) = 4*b(d) + s(d). Let w be l(-5). Let f = w - 8. Does 2 divide f? False Does 7 divide (-1)/((-110)/35 + 3)? True Suppose -5*c + 730 = 3*f, -7*c + 3*c = -4*f - 552. Is 12 a factor of c? False Does 13 divide (3 - (-55)/(-1))/(-2)? True Let f = 152 + 82. Does 13 divide f? True Let t(j) = 2*j**2 - 3*j - 4. Let r be t(-3). Let u = r + -14. Does 9 divide u? True Suppose -4*d + 164 = 4*r - 72, -5*d + 293 = 3*r. Is (-3)/(1 + 2) + d a multiple of 19? True Suppose -w + 2 + 1 = 0. Let q(g) = -7*g - g**2 + 3*g**2 - w*g**2 + 5. Does 7 divide q(-6)? False Is 14 a factor of (80/(-14) + -2)/((-3)/21)? False Let r(t) be the third derivative of t**5/60 - t**4/8 - t**3/3 - 3*t**2. Let l(k) = k**2 + 2*k + 2. Let v be l(-3). Is 3 a factor of r(v)? False Let u = 2 - 6. Does 4 divide 2*u/20*-30? True Let q be 5*(72/10)/3. Let p be (-87)/q + 2/8. Let m(y) = -2*y + 4. Is m(p) a multiple of 8? False Let k(m) = m**3 - 6*m**2 - 8*m - 10. Is 41 a factor of k(8)? False Suppose 81 = 2*o + o. Let d = 45 - o. Does 17 divide d? False Does 15 divide 355 - 10/6*-3? True Suppose 4*n - 88 = -20. Suppose -2*j = 2*j - 8, 4*y - 5*j = -2. Let l = n + y. Does 19 divide l? True Suppose -5*q = -6*q + c + 187, q = -2*c + 172. Does 13 divide q? True Suppose -4*s + 3*x - 11 = 0, -3*s = 4*x + 3 - 1. Does 7 divide s*3*14/(-6)? True Suppose 2*l - 4*g - 300 = 0, l - 2*g = 4*l - 450. Suppose -4*o + l = o. Does 16 divide o? False Let b = 3 - -11. Is b a multiple of 12? False Let x = 5 + 0. Suppose -12 = 3*k, x = 4*u - 4*k - 107. Is u a multiple of 8? True Suppose 10*w - 5*w - 25 = 0. Does 2 divide w? False Let d(y) = -y**3 - y**2 + 5. Let f be d(0). Suppose 0 = -f*l + 30. Let p = l - -3. Is p a multiple of 3? True Let v = -44 - -214. Is v a multiple of 10? True Suppose -2*u = -507 + 135. Suppose -3*n = 3*h - u, 4*n - 186 = n - h. Does 21 divide n? False Is 17 a factor of 39/(-6) + 6 + 162/4? False Does 9 divide 3/(-5) - 723/(-5)? True Suppose 4*v + 2*m - 7*m = 27, 4*m = -12. Suppose -g + 40 = 5*k, -18 = -v*g - 2*k + 50. Does 13 divide g? False Let t = 39 - -1. Is t a multiple of 5? True Is 2 a factor of (25 + -26)/(2/(-44))? True Let m(u) = 3*u - 15. Is m(9) a multiple of 6? True Suppose 62 = 5*h + n + 3*n, 5*n = 3*h - 15. Does 7 divide h? False Suppose 2*y - 93 = -3*i, 0 = i - y - 25 - 11. Is 33 a factor of i? True Let q(r) = r + 22. Let v be q(0). Suppose -3*z + 498 = -0*z. Suppose -4*x - v = -z. Is x a multiple of 15? False Suppose -d - s - s + 40 = 0, 3*d = 3*s + 84. Suppose 4*y - d = 4*i, 2*y
{ "pile_set_name": "DM Mathematics" }
n + a and give b. -2523 Rearrange 1498*z**2 - 874*z + 1493*z**2 - 2992*z**2 to a*z + k + n*z**2 and give a. -874 Rearrange 37*d**4 + 4*d - 9*d + d - 39*d**4 - 7*d**3 to r + m*d + h*d**2 + l*d**3 + u*d**4 and give m. -4 Express (-9*r - 5*r - 7*r)*(22*r - 42*r + 26*r) + (-1 + 1 + 2*r)*(4*r + 0*r - 3*r) in the form n + j*r + s*r**2 and give s. -124 Express 2 + 2*k**4 - 2*k**2 - 2 + 802*k - 2*k**3 + 9*k**2 - 799*k as d*k + c + i*k**3 + h*k**4 + s*k**2 and give h. 2 Express 9 - 420*x**2 + 6 + 422*x**2 + 33*x as r*x**2 + f + m*x and give f. 15 Express -l + 10 + 6*l - 4*l**2 - 15 - 5*l in the form j + n*l**2 + k*l and give j. -5 Express n**3 + 2*n**3 - n**3 + (35*n - 5*n + 43*n)*(-2*n**2 + n**2 + 3*n**2) - 17*n**3 + 12*n**3 - 24*n**3 in the form v*n + m*n**2 + o*n**3 + a and give v. 0 Rearrange -16173*w + 14918*w - 3 + 3 to the form f*w + x and give f. -1255 Express -8*v - 4*v + 5 + 12*v - 3*v + v in the form s*v + j and give s. -2 Rearrange (0 - 4 - 6)*(-u + 0*u + 9*u)*(-5 + 3 + 1)*(4*u - 5*u - u) to the form v + l*u**2 + y*u and give l. -160 Express (-2*o + 1 - 1)*(o + 3*o - 2*o) + 141 - 49*o**2 - 141 + (5*o - 4*o + o)*(-o - 3*o + 2*o) as m*o**2 + g + j*o and give m. -57 Express 5 - f - f - 4*f - f as v + d*f and give v. 5 Express 12*l**2 + 179*l**2 + 13*l**2 + 5*l**2 in the form b + m*l + w*l**2 and give b. 0 Express -5546 + 636*q + 5546 in the form f + d*q and give d. 636 Rearrange (5*u - 3*u + u)*(2 + 4 - 14)*(-21*u + 12*u + 6*u) to a*u + x*u**2 + q and give x. 72 Express (3 - 2 - 3)*(247 - 123 - 160 - 2*c) as z*c + q and give z. 4 Express -13*q**3 - 8*q**3 + 8*q**2 + 2*q - 4*q - 11*q**2 in the form x + o*q**2 + n*q**3 + k*q and give k. -2 Express -3*o**2 + 4 + 2*o**2 + 560*o**4 - 5 - 552*o**4 in the form d + n*o**3 + q*o**4 + s*o**2 + w*o and give d. -1 Rearrange 17*l**3 + 0*l**3 - 4*l**3 + (1 - 1 + 2*l)*(-2*l**2 - l**2 + l**2) to n*l**2 + a + h*l + x*l**3 and give x. 9 Express -33 - 17 - 15*p + 7 + 7*p in the form s*p + d and give d. -43 Express -44*h - h**3 + 25*h**2 - 7*h**4 + 38*h - 25*h**2 + 1 in the form k*h + o*h**2 + q*h**4 + m + s*h**3 and give k. -6 Rearrange (2*g**4 - 2*g**4 - 2*g**4)*(2 + 0 - 1) + 154*g**4 - 451*g**4 + 173*g**4 to b*g**2 + y + w*g + z*g**4 + u*g**3 and give z. -126 Rearrange -4*h + 161*h**2 - 2*h**3 + 3*h**4 - 2*h**4 - 159*h**2 to a*h**3 + y*h**4 + z + k*h + q*h**2 and give a. -2 Rearrange c**2 - 114*c + 0*c**2 + 223*c - 88*c to s*c**2 + u + g*c and give g. 21 Express 79*w - w**2 + 0 - 4 - 2*w**3 + 0*w**2 - 78*w as l + y*w**2 + k*w + j*w**3 and give y. -1 Express 0*u**4 + 3*u**4 + 4*u**4 + (0 - 1 - 1)*(-2*u**4 + 0*u**4 + 19*u**4) as l*u**3 + v + i*u**4 + j*u**2 + d*u and give i. -27 Rearrange 2 - 6877*n**3 + 0*n - 2*n**4 - n**2 + 6874*n**3 - 3*n - 2*n to the form i*n**3 + o*n**2 + t*n + p*n**4 + f and give f. 2 Express (-3 - 10 - 3)*(0 + 3 - 4 + (2 + 8 + 0)*(7 - 3 - 3))*(3*d + d - 3*d) as s + i*d and give i. -144 Express -205*t**2 - 521*t**2 + 54*t**2 as x + l*t**2 + q*t and give l. -672 Express (-n**2 - n**2 - 6*n**2)*(0*n - 2*n + n)*(2*n - 8*n + 28*n) in the form t*n + k*n**4 + f + o*n**2 + p*n**3 and give k. 176 Rearrange -16*f + 6*f**3 + 33*f**2 - 66*f**2 + 35*f**2 to p*f + r*f**3 + d*f**2 + v and give v. 0 Express -209124*v**2 + 0 - 2 + 208646*v**2 as p + d*v**2 + a*v and give p. -2 Rearrange 36*z**3 + 2*z**2 - 95*z**3 + 2 - 35*z**3 - 2 to q*z**3 + p*z + w*z**2 + c and give w. 2 Rearrange 2*f**4 - 7*f - 3*f**4 - 6*f**3 - 11*f**3 - 6*f**2 - 3 + 7*f**2 + 19*f**3 to u*f + a*f**3 + v*f**4 + l + j*f**2 and give l. -3 Rearrange (-671 + 671 - 39*j)*(0 + 4 + 0)*(-2 - 2 + 0)*(-1 - 1 + 4) to r*j + g and give r. 1248 Rearrange 13*c**3 - 1 + 29*c - 4*c**3 - c**4 - c**2 - 31*c + 0*c**4 to b*c**4 + u*c**2 + m*c**3 + p*c + f and give f. -1 Express -4*u**4 + 14*u**4 - 3*u + 4*u**3 - 14*u**4 as f*u**3 + c*u + a*u**4 + k*u**2 + b and give a. -4 Express 533 + 67*b**2 - 2*b - 533 + (-7*b - 13*b + 3*b)*(0*b - b - b) as r*b + u*b**2 + o and give r. -2 Rearrange -16612 + 4*t**2 - 4*t - 9*t**2 + 16614 to q*t + l*t**2 + m and give q. -4 Rearrange -29*k**3 - 6*k**2 + 4*k**2 + 13*k**4 + 24*k**3 - 2 to f + c*k**4 + y*k + z*k**3 + h*k**2 and give c. 13 Rearrange (0 + 2*z + 0)*(30 + 14 - 14) + z + 3*z - 5*z - 3*z + 3*z - 3*z to the form k*z + a and give k. 56 Express (2*i + 2*i - 5*i)*(2*i - 2*i + i**3) + (47*i - 7*i + 73*i)*(-3*i**3 - 30*i + 30*i) as u*i + t*i**4 + n + a*i**2 + k*i**3 and give n. 0 Express (-6*l**2 + 36 - 36 + (3*l**2 - 1 + 1)*(0 + 2 - 4))*(-4 + 2 + 4)*(-4 + 3 + 0) in the form h + p*l + b*l**2 and give b. 24 Express (-10*y - 273 + 273)*(-2*y - y + y) - 3*y**2 + 2 + 6*y**2 - y**2 as q*y + l + b*y**2 and give b. 22 Rearrange ((3*t - 6*t + 2*t)*(-2*t + 3*t + t) + t**2 - 8*t + 8*t)*(-2*t - 4*t + 4*t) to the form r*t**3 + d*t**2 + n*t + m and give r. 2 Express (2 - 4 + 0)*(0 + 0 - 1)*(183 + 82*g - 183) in the form o*g + h and give o. 164 Express 1 - 47*i + 6*i**2 + 28*i + 4*i**3 + 21*i - 2*i**2 as x*i + t*i**2 + h + f*i**3 and give f. 4 Express -155*r**2 - 259*r**2 + 211*r**2 in the form v*r**2 + a + i*r and give i. 0 Express (-y**2 + 0*y**2 + 3*y**2)*(-136*y + 30*y - 50*y) in the form u*y**2 + x*y + v + h*y**3 and give h. -312 Rearrange -215 - 97*p**2 + 215 - 58*p**2 to the form y*p + f*p**2 + h and give f. -155 Rearrange 24*y - 3*y**2 - 32*y**3 + 38*y - 92*y + 33*y + 116*y**3 to x + t*y**2 + u*y**3 + b*y and give t. -3 Rearrange (-2*l + 2*l + l)*(-6*l + 3*l + 2*l) - 6*l + 8*l + l**2 - 2*l**2 + (-4*l + 0*l + l)*(-l + 3*l - l) to the form k*l**2 + x*l + y and give k. -5 Express -4*z**2 - 781*z**3 + 798*z**3 + z**2 - 14*z in the form r*z + f*z**2 + w + y*z**3 and give f. -3 Rearrange (p + p - p)*(-2*p + 6*p - 3*p)*(2 - p - 2) + 2*p**3 - 5*p**3 - 7*p**3 to the form r*p**3 + i*p + t + v*p**2 and give r. -11 Express -2*a - 3 + 3*a - 4*a + (-2 + 2 + 1)*(a + 2 - 2) - 3*a + 0*a + a as t*a + n and give t. -4 Express 21*j**2 + 2*j**4 - 3*j**4 - 78*j**3 + 3*j + 79*j**3 in the form t*j**3 + i*j + c + s*j**4 + g*j**2 and give t. 1 Rearrange 492*o**2 + 4*o - 486*o**2 + 4*o - 6*o + 14 - 4*o to m*o**2 + j + f*o and give f. -2 Express -71*r + 168 - 168 + (4 - 3 + 0)*(0*r - 3*r - 4*r)*(2 + 2 - 3) in the form g + z*r and give z. -78 Rearrange (-154 + 1941 - 93)*(-3*c + 6*c - 4*c)*(-4 + 6 - 4) to b*c + f and give f. 0 Rearrange 19 + 405*i + 20 - 51 + 12 to x + r*i and give r. 405 Express -2*u**2 + u**3 - 3*u**4 - u**3 + (8*u**3 + 3*u**3 - 7*u**3)*(9 + 19 - 24 + 5*u) as q*u**4 + c + y*u**2 + i*u + d*u**3 and give d. 16 Rearrange (3*k + 0*k - 4*k)*(9*k + 0 + 2*k + 2) to w*k + v*k**2 + t and give v. -11 Express -7120*s + s**3 + 0 + 7119*s + s**4 - 18*s**2 + 2 in the form v*s**2 + b + q*s**3 + r*s + w*s**4 and give w. 1 Express 3*m**2 + 0*m + 9*m + 7*m - 13*m - 65*m**2 as a*m + u*m**2 + w and give u. -62 Express -20*x - 436*x**4 + 438*x**4 + 8*x**3 + x**3 in the form c*x**4 + b*x**3 + w + u*x + o*x**2 and give b. 9 Rearrange (3*b**2 - b**2 - 3*b**2)*(84 - 80 + 2*b + 0*b) to the form a*b**2 + v*b**3 + o + y*b and give v. -2 Express (-18582 + 3*i - 2*i**2 + 18582)*(-1 + 0 + 0)*(-1 + 3 - 1)*(2 - 2 + 2*i + (3*i + i - 2*i)*(2 - 1 + 0)) as d*i**3 + g*i + a + r*i**2 and give g. 0 Express 1 - 2*u**2 + 0*u**4 - 2*u**4 - 3*u**4 + u**4 + u as y*u + a*u**2 + x*u**4 + d + h*u**3 and give y. 1 Express 14*i - 9 - 2 + 13 - 6 + 21 as o*i + r and give o. 14 Express 199 + 3*x**4 - 98 - 59*x**3 - 102 - x**4 in the form i*x**4 + m*x**3 + w*x**2 + a + v*x and give m. -59 Rearrange (-9 + 4*n + 4 + 8)*(5 + 7 + 7 + (6 + 0 - 3)*(3 + 0 - 2)) to the form y*n + u and give y. 88 Rearrange y**3 - 4*y + 135*y**2 + 2*y**4 - 61*y**2 + 1 - 73*y**2 - 9*y**4 - 2 to q*y**3 + n + f*y**4 + x*y + s*y**2 and give f. -7 Rearrange -4*v + 13*v**4 - 12 - 14*v**4 + 4*v**3 + 15 to u*v + h*v**2 + r*v**3 + j + l*v**4 and give l. -1 Express (3*v**2 - 3*v**2 + v**3)*(2 - 5 + 1) + 0*v**3 + 91*v**2 - 87*v**2 + v**3 - 8*v**3 + 5*v**2 - 5*v**2 as t*v + o*v**3 + s + z*v**2 and give z. 4 Rearrange 42*u - 107*u - 16*u - 31*u - 101*u to the form p + d*u and give d. -213 Rearrange -440 + 5*d**3 + 883 + 13*d**2 + 4*d - 442 - 2*d to n*d + b + g*d**2 + i*d**3 and give n. 2 Express ((2*z**3 + 3*z**3 - 2*z**3)*(0 - 3 - 2) - z + z - 4*z**3)*(1 + 0 + 1)*(2*z + z - z) as n*z + f*z**2 + x*z**4 + d*z**3 + s and giv
{ "pile_set_name": "DM Mathematics" }
192*l + 323*l)*(-2 + 2*l + 2). 4778*l**2 Expand 2*r**3 + 0*r**3 + 3*r**3 + (2*r + r - r)*(-4 + 4 - 2*r**2) - 189*r**3 + 0*r**2 - 717*r**3 + 96*r**3 - r**2. -809*r**3 - r**2 Expand (-20 + 10 + 7*z + 12)*(-5*z - 5*z + 3*z)*(0 + 3 + 2). -245*z**2 - 70*z Expand (-2*m**2 + 2 - 2)*(0 - 2 + 4)*(0*m - 9*m + 8*m)*(23*m**2 - 9 + 9). 92*m**5 Expand (6 - 3 - 4)*(-6*w + 2*w + 3*w)*(-4 + 6 - 4)*(5 + 2 + 21). -56*w Expand (0*t + 3*t - t)*(-3 + 2 + 3) + (4*t - 4*t + t)*(-5 + 0 + 3 + 3 + 1 - 9 + (-3 - 2 + 3)*(58 + 98 - 32)). -251*t Expand -13*r**2 + 0*r + 0*r + (0 + 2*r + 0)*(-3*r + 0*r - r) - r**2 - 2*r**2 - 9*r**2. -33*r**2 Expand (80*k + 97*k - 142*k)*(k**4 - 3*k**4 + 4*k**3 - 8*k**3). -70*k**5 - 140*k**4 Expand (-47 + 5 - 1)*(18 - 2 + 4)*(b - 4*b + 4*b). -860*b Expand 9*n**2 - 9*n**2 - 2*n**5 - 2*n**5 + 2*n**5 + 3*n**5 + (4 - 5 + 0)*(-3*n**5 + n**5 + 4*n**5) + (4*n**5 - 5*n + 2*n - 3*n**5)*(-13 + 13 - 11). -12*n**5 + 33*n Expand (-19*m**3 + 2*m**4 - 4*m**4 + 21*m**3)*(-21 + 0 - 7 - 2 + 2 - 2 + (4 + 1 - 3)*(3 - 4 - 1) + 0 - 1 + 3). 64*m**4 - 64*m**3 Expand (1 - 1 - 2 + (2 - 1 - 3)*(9 - 1 + 0))*(69 + 69 - 129)*(3*k**3 - 2*k**3 - 2*k**3). 162*k**3 Expand 1482*a**5 + 1718*a**5 + 73*a**3 - 3158*a**5 + (0*a**5 + 2*a**5 - 4*a**5)*(-3 - 3 + 5). 44*a**5 + 73*a**3 Expand (0*f**2 + 5*f**2 + 0*f**2)*(-9*f + 198 - 94 - 2*f**2 - 100). -10*f**4 - 45*f**3 + 20*f**2 Expand -113*k**5 - 51*k**5 - 2*k**5 - 343 + 343 + 5*k**5 + (k - k**2 - k)*(3 - 3 + 2*k**3) - k**5 + 0 + 0 + (3 - 2 + 1)*(k**5 + 3*k**5 - 5*k**5). -166*k**5 Expand (-637*n + 882*n + 610*n + 805*n + 710*n + 341*n)*(-n + n**2 + n). 2711*n**3 Expand (-4*k + 3*k + 0*k)*(-3 + 3 - k**2) + 15*k**3 + 15*k**3 - 7*k**3 + (2 - 543*k - 2 + 426*k)*(-k**2 - 2*k + 2*k). 141*k**3 Expand -h**3 - 1 + 2*h**2 + 1 + 9 - 12*h**3 - 9 + 3*h**3 + 0*h**3 - h**3 + (-2*h + 2*h + 2*h)*(2 - 2*h**2 - 2) - 20 + 3*h + h**3 - 3*h. -14*h**3 + 2*h**2 - 20 Expand (46*o**2 - 46*o**2 + 4*o**3)*(-5*o + 0*o + 3*o + o**2 + 1). 4*o**5 - 8*o**4 + 4*o**3 Expand (-24374 + 34296 - 16842)*(-1 + 1 - n). 6920*n Expand ((-i + i + i)*(3*i**3 + i**2 - i**2) + 4*i**4 - 5*i**4 + 3*i**4 + 254*i**4 - 552 + 552 - i**4 + 3*i**4 + 0*i**4)*(-5 + 1 + 2)*(-1 - 5 + 4). 1044*i**4 Expand (3*q**2 + q**4 - 3*q**2)*(2653 - 41669 - 46715 - 4154 + 859). -89026*q**4 Expand (3*n + 3*n - 5*n)*(-1 + 1 + 2*n) - 784 - 23*n**2 + 2337 + 14*n**2 + 10*n**2. 3*n**2 + 1553 Expand (-43 - 36 + 40 - 36 - 43)*(33*v + 38 - 8*v - 16*v). -1062*v - 4484 Expand ((4 - 6 + 4)*(3*p + 0*p + 0*p) + 4*p + 32*p + 30*p)*(0*p**3 + 2*p**3 - p**3). 72*p**4 Expand ((3 - 5 - 77)*(2 - 3 + 3) - 2 - 1 + 5)*(8 - 8 + 7*p). -1092*p Expand (2*o - 3*o + 2*o)*(1982*o**3 + 298*o**3 + 1618*o**3). 3898*o**4 Expand (-o**3 + 0*o**3 + 0*o**3)*(662 - 662 + 4*o + 16*o - 32*o + 12*o + (-4*o + 3*o + 0*o)*(-1 + 2 + 0))*(0 + 5 - 3). 2*o**4 Expand (7 + 1 - 3)*(-7 + 7 + 3*j)*(-1 + 2*j + 1)*(2 - 4 + 3) + 16*j**2 - 14*j**2 + 7*j**2. 39*j**2 Expand 126*k**5 - k**4 - 138*k**5 + 14*k**4 + (-3 + 3 + 3*k)*(-4 + 2*k**4 + 4) + (-4 - 2*k**3 + 4)*(k**2 + 2*k**2 - k**2). -10*k**5 + 13*k**4 Expand ((-1 + 0 + 3)*(3 + 0 - 1) + 30 + 46 - 12)*(2*h**3 + 3*h**4 - 2*h**3). 204*h**4 Expand (1082*s + 403*s + 364*s + 391*s + 38*s)*(s**2 + 18*s - 18*s). 2278*s**3 Expand (-w**2 + 1 - 1)*(0*w**3 + 2*w**3 - w**3) - 2*w**5 - w**5 + w**5 + (-7*w - 10*w - 4*w)*(54*w**4 + 178*w**4 + 39*w**4). -5694*w**5 Expand 8*p**2 - 19*p**2 + 10*p**2 + (-2*p**2 + 3*p**2 - 3*p**2)*(-3 + 3 - 6). 11*p**2 Expand (-x**2 + x**2 - x**3)*(3*x**2 - 1 + 1) + (-2 + 3 + 1 + 2*x)*(-5*x**4 + 16*x**4 + 2*x**4)*(165 - 196 - 197). -5931*x**5 - 5928*x**4 Expand (-3 + 0 - 1)*(-1 - 2 + 4 + 3 - 1 - 5 - 1 - 2 + 4 - 5 + 2 + 1 + (-1 - 2 + 2)*(1 - 4 + 1) + 0 + 1 + 0 + 2 - 7 + 6)*(13*l + 5*l + 8*l). -104*l Expand (3*c**3 - c**3 - 3*c**3)*(-6*c + 8*c - c)*(-103*c - 391*c - 94*c). 588*c**5 Expand -s**5 + s**5 - 3*s**5 - 2*s**5 + 7*s**5 - 3*s**5 + (18*s**2 + 2*s**2 - 1 + 3)*(s**3 + 2 - 2). 19*s**5 + 2*s**3 Expand (-4 - 220*h + 219*h + 0 + 3*h**3)*(-1 + 3 + 45). 141*h**3 - 47*h - 188 Expand (42 + 2*d + 16 - 85)*(-14 + 14 - 11). -22*d + 297 Expand (7*h**4 - 3*h**3 + 4*h**3 - 2*h**3)*(0 - 2 - 2) - 9*h**3 + 253*h**4 + 15*h**3 - 6*h**3. 225*h**4 + 4*h**3 Expand (0*q**3 + 3*q**3 - 5*q**3)*(-q - q + 0*q)*(2*q + 2*q - q) + (4*q + 3*q - 5*q)*(2*q + 6*q + 5*q)*(91 - 91 + 34*q**3). 896*q**5 Expand (18*k - 16*k + 4 + 2)*(197*k**4 - 31*k**4 - 8*k**4). 316*k**5 + 948*k**4 Expand (-14*a - 14*a - 5*a)*(-26*a + 76*a + a**3 - 58*a). -33*a**4 + 264*a**2 Expand -35*a**2 + 98*a**2 - 45*a**2 + (-4 + 4 - 5)*(2*a**2 + 0*a**2 - 4*a**2) - a**2 - 3*a**2 + 3*a**2. 27*a**2 Expand -17*b**4 - 14*b**4 + 30*b**4 - b**2 + (-4*b**2 - 3*b**2 + 3*b**2)*(-3*b + 2*b**2 + 3*b) - b**4 + 2*b - 2*b. -10*b**4 - b**2 Expand (-5*i + 21*i + 5*i + (0 + 3 - 5)*(-i - 2 + 2))*(20*i - 1966 + 1966). 460*i**2 Expand -35 + 18 + 3*z**2 + 12 + z**2 - 2*z**2 + 3*z**2 + (4*z - 2*z - 5*z)*(-2*z - z + 6*z). -4*z**2 - 5 Expand (-1 + 4 - 5)*(-1 - 2 + 1)*(41*f + 5412 - 128*f - 5412). -348*f Expand (33*w - 35*w + 4766*w**2 + 751*w**2)*(-2*w**2 + w - w). -11034*w**4 + 4*w**3 Expand (5 - 2 - 6)*(8 + 6*c**5 - 7*c**5 - c - 345*c**3 + 343*c**3). 3*c**5 + 6*c**3 + 3*c - 24 Expand (0*a**3 + 3*a**3 - a**3)*(394*a - 11 - 829*a + 314*a). -242*a**4 - 22*a**3 Expand (177 + o - 177)*(-3 - 1 + 0) + 95*o - 222*o + 68*o. -63*o Expand (-4 - t + 4)*(4*t + 0*t - 2*t) + 2*t**2 - t**2 - 3*t**2 + 0 + 0 - 2*t**2 + (-2*t + 1 - 1)*(2*t - 1 + 1) + 2682 - 2682 - 47*t**2. -57*t**2 Expand (2 - 6*n + 4*n + n)*(-3*n - 43 - 27500*n**2 + n + 27502*n**2). -2*n**3 + 6*n**2 + 39*n - 86 Expand g**2 - 11*g**4 - g**2 + 2*g**4 + 0*g**4 - 3*g**4 + g**2 - 7*g**4 - g**2 + (15*g**2 - 9*g**3 - 15*g**2)*(2*g + 2 - 2). -37*g**4 Expand (0 - 2*j + 0)*(j + 4079 - 329 + 29). -2*j**2 - 7558*j Expand (-2*h**2 + 4*h**2 - 3*h**2)*(-4 - 3*h**2 + 4)*(-590*h - 623*h - 529*h - 546*h). -6864*h**5 Expand (-5 - 213*c + 430*c - 210*c)*(0 + 3 - 6 + (-13 - 13 + 11)*(0 - 2 + 3)). -126*c + 90 Expand (-286 + 286 - 19*r)*((1 - 4 + 1)*(-6 + 2 - 6) + 0 + 2 + 1). -437*r Expand (15677*z**2 - 30056*z**2 + 16503*z**2)*(-4*z**2 + 2*z**2 - 2*z + 3*z). -4248*z**4 + 2124*z**3 Expand (-c**2 + 0*c**2 - 7*c**2)*(-c + 6*c + 0*c + (-5 + 6 + 1)*(-c - 4*c + 3*c) + 2*c + 0 + 0 + c + 2*c - 2*c)*(31*c - 30*c - 8 + 7 + 20*c**2). -640*c**5 - 32*c**4 + 32*c**3 Expand (8*v - 11*v - 4*v)*(-51 - 74 + 138)*(-6*v + v + 4*v). 91*v**2 Expand (2 - 1 + 0)*(-119*z**2 + 378*z**2 + 586*z**2)*(4*z - z - 2*z). 845*z**3 Expand (-291*i**5 + 113*i**5 + 138*i**5)*(2 - 1 - 3 + (-3 - 3 + 3)*(-4 + 1 + 5)). 320*i**5 Expand (2*a - a + 2*a)*(9*a**4 + 7000*a - 534*a**2 - 7000*a). 27*a**5 - 1602*a**3 Expand (222*p**2 + 107*p**2 + 35*p**2)*(158 + 6*p**2 - 158) + p**4 + 2*p**4 - 2*p**4 + (0*p - p + 3*p)*(-p**3 + p**3 + 2*p**3) - 4*p**4 + 3*p**4 + 2*p**4. 2190*p**4 Expand ((-2 + 3 + 0)*(-15*z**2 + 14*z**2 + 7*z**2) + 4 - 3*z**2 - 4)*(5 + 3 - 4)*(-4*z + 0*z + 0*z). -48*z**3 Expand (-6044 + 3391 + 3523)*(-3*d**3 + d**3 + 0*d**3). -1740*d**3 Expand (1 + 3 + 7 + (1 + 4 + 5)*(4 - 4 + 1))*(138*g - 135*g - 2*g**4 + 0*g**4). -42*g**4 + 63*g Expand 2*b**5 - 4*b**5 + 3*b**5 + (-151*b**4 + 76*b**4 + 23*b**4)*(-5*b - 3*b + 6*b). 105*b**5 Expand (-343 + 194 + 108 - 533 - 705)*(9*d**5 - 6*d**5 - 11*d**5). 10232*d**5 Expand (4 + 10 + 6)*(-4*p + 4*p + 4*p)*(-2 + 2 - 1)*(0*p**2 + 3*p**2 - p**2). -160*p**3 Expand ((-2 + 1 + 0)*(-1 + 1 + i) - 3*i + i + i + 6 + 2*i - 6 + 41*i - 14*i + 6*i + (2 - 1 + 0)*(-i + 3*i - 3*i))*(1 + 0 + 3). 128*i Expand -l**5 + 3*l**5 - l**5 + (-4 + 4*l + 4)*(2*l**4 - 2*l**4 - 2*l**4) + 45 + 828*l**5 + 12*l**2 - 43 - 830*l**5. -9*l**5 + 12*l**2 + 2 Expand -323*o**5 + 141372*o - 141372*o + (-2*o - 3*o + 7*o)*(7*o**4 + 7*o**4 - 2*o**4). -299*o**5 Expand (-4 + 4 + w)*(32 - 20 - 20) + 10*w + 10*w + 7*w. 19*w Expand (-4 - 16 - 180*w + 2 - 4)*((0*w + w + w)*(0*w + w - 3*w) + 2*w**2 - 2*w**2 - w**2 - 2*w - w**2 + 2*w + 4*w**2 - 2*w**2 + 0*w**2 - 2*w - 4*w**2 + 2*w). 1440*w**3 + 176*w**2 Expand -70*q**2 - 7*q**2 + 4*q**2 - 5*q**2 - q**2 - q**2 + 3*q**2 + 6 - 6 + (6 + 2 - 4)*(2*q**2 - 4*q**2 + q**2). -81*q**2 Expand 0 + v**2 + 0 - 4*v**2 + 2*v**2 - 6*v**2 + (-72 + 11*v + 72)*(0*v - 4*v + 2*v) + (0*v - 2*v + 0*v)*(-3*v + 3*v - 2*v). -25*v**2 Expand (2 + 1 - 5)*(-77*k - 5*k**2 + 77*k)*((11*k
{ "pile_set_name": "DM Mathematics" }
tors of 3599. 59, 61 What are the prime factors of 8482? 2, 4241 What are the prime factors of 7620? 2, 3, 5, 127 List the prime factors of 2615. 5, 523 What are the prime factors of 2970? 2, 3, 5, 11 List the prime factors of 81058. 2, 40529 List the prime factors of 31. 31 What are the prime factors of 49653? 3, 613 List the prime factors of 17597. 17597 What are the prime factors of 250? 2, 5 List the prime factors of 1876. 2, 7, 67 What are the prime factors of 198399? 3, 41, 1613 What are the prime factors of 20198? 2, 10099 List the prime factors of 44. 2, 11 What are the prime factors of 47808? 2, 3, 83 List the prime factors of 1032. 2, 3, 43 What are the prime factors of 487? 487 List the prime factors of 103400. 2, 5, 11, 47 What are the prime factors of 2016? 2, 3, 7 List the prime factors of 1306. 2, 653 What are the prime factors of 10978? 2, 11, 499 What are the prime factors of 8009? 8009 What are the prime factors of 3356? 2, 839 What are the prime factors of 16021? 37, 433 List the prime factors of 21824. 2, 11, 31 What are the prime factors of 2340? 2, 3, 5, 13 What are the prime factors of 10104? 2, 3, 421 What are the prime factors of 38271? 3, 12757 What are the prime factors of 2052? 2, 3, 19 List the prime factors of 23798. 2, 73, 163 List the prime factors of 372. 2, 3, 31 List the prime factors of 12975. 3, 5, 173 List the prime factors of 19137. 3, 6379 List the prime factors of 808. 2, 101 List the prime factors of 3876. 2, 3, 17, 19 What are the prime factors of 19197? 3, 79 List the prime factors of 101959. 11, 13, 23, 31 What are the prime factors of 2388? 2, 3, 199 List the prime factors of 21594. 2, 3, 59, 61 List the prime factors of 61627. 61627 What are the prime factors of 11264? 2, 11 What are the prime factors of 4050? 2, 3, 5 What are the prime factors of 133549? 13, 10273 What are the prime factors of 56068? 2, 107, 131 What are the prime factors of 971? 971 List the prime factors of 2046. 2, 3, 11, 31 What are the prime factors of 4999? 4999 What are the prime factors of 3117? 3, 1039 List the prime factors of 52383. 3, 19, 919 List the prime factors of 4788. 2, 3, 7, 19 List the prime factors of 1597. 1597 What are the prime factors of 586? 2, 293 List the prime factors of 2860. 2, 5, 11, 13 What are the prime factors of 16830? 2, 3, 5, 11, 17 List the prime factors of 2485. 5, 7, 71 List the prime factors of 2189. 11, 199 List the prime factors of 473. 11, 43 List the prime factors of 72. 2, 3 List the prime factors of 4860. 2, 3, 5 List the prime factors of 3286. 2, 31, 53 What are the prime factors of 7581? 3, 7, 19 What are the prime factors of 13455? 3, 5, 13, 23 List the prime factors of 2253. 3, 751 List the prime factors of 103878. 2, 3, 29, 199 What are the prime factors of 55167? 3, 7, 37, 71 What are the prime factors of 997? 997 List the prime factors of 299. 13, 23 List the prime factors of 304. 2, 19 List the prime factors of 62716. 2, 15679 What are the prime factors of 2768? 2, 173 What are the prime factors of 7599? 3, 17, 149 List the prime factors of 2239. 2239 What are the prime factors of 228? 2, 3, 19 What are the prime factors of 1360? 2, 5, 17 List the prime factors of 4846. 2, 2423 What are the prime factors of 6160? 2, 5, 7, 11 What are the prime factors of 2824? 2, 353 List the prime factors of 247. 13, 19 What are the prime factors of 5219? 17, 307 What are the prime factors of 2478? 2, 3, 7, 59 List the prime factors of 2871. 3, 11, 29 List the prime factors of 24358. 2, 19, 641 List the prime factors of 3719. 3719 List the prime factors of 15255. 3, 5, 113 What are the prime factors of 78599? 53, 1483 What are the prime factors of 10589? 10589 List the prime factors of 85862. 2, 7, 6133 What are the prime factors of 42746? 2, 11, 29, 67 What are the prime factors of 2474? 2, 1237 What are the prime factors of 3942? 2, 3, 73 What are the prime factors of 4918? 2, 2459 List the prime factors of 8220. 2, 3, 5, 137 List the prime factors of 576. 2, 3 List the prime factors of 2476. 2, 619 List the prime factors of 109066. 2, 23, 2371 List the prime factors of 10616. 2, 1327 What are the prime factors of 1522? 2, 761 What are the prime factors of 2714? 2, 23, 59 What are the prime factors of 3268? 2, 19, 43 List the prime factors of 988. 2, 13, 19 What are the prime factors of 4535? 5, 907 What are the prime factors of 36284? 2, 47, 193 What are the prime factors of 613? 613 List the prime factors of 23887. 23887 List the prime factors of 661. 661 List the prime factors of 95200. 2, 5, 7, 17 What are the prime factors of 3261? 3, 1087 What are the prime factors of 9421? 9421 List the prime factors of 203. 7, 29 List the prime factors of 13682. 2, 6841 What are the prime factors of 408? 2, 3, 17 What are the prime factors of 29058? 2, 3, 29, 167 List the prime factors of 264. 2, 3, 11 What are the prime factors of 2059? 29, 71 What are the prime factors of 14548? 2, 3637 What are the prime factors of 4838? 2, 41, 59 What are the prime factors of 25678? 2, 37, 347 What are the prime factors of 1277? 1277 List the prime factors of 190507. 190507 What are the prime factors of 46606? 2, 7, 3329 List the prime factors of 21049. 7, 31, 97 List the prime factors of 3333. 3, 11, 101 What are the prime factors of 12005? 5, 7 What are the prime factors of 11224? 2, 23, 61 List the prime factors of 5738. 2, 19, 151 List the prime factors of 1194. 2, 3, 199 List the prime factors of 2723. 7, 389 List the prime factors of 247. 13, 19 List the prime factors of 217. 7, 31 List the prime factors of 7031. 79, 89 What are the prime factors of 12328? 2, 23, 67 What are the prime factors of 1383? 3, 461 List the prime factors of 26684. 2, 7, 953 List the prime factors of 483. 3, 7, 23 List the prime factors of 802. 2, 401 List the prime factors of 76218. 2, 3, 12703 List the prime factors of 2202. 2, 3, 367 List the prime factors of 3037. 3037 What are the prime factors of 137866? 2, 29, 2377 What are the prime factors of 2581? 29, 89 List the prime factors of 141215. 5, 61, 463 List the prime factors of 726. 2, 3, 11 What are the prime factors of 61359? 3, 113, 181 What are the prime factors of 817? 19, 43 What are the prime factors of 904? 2, 113 List the prime factors of 1812. 2, 3, 151 What are the prime factors of 3909? 3, 1303 List the prime factors of 10620. 2, 3, 5, 59 What are the prime factors of 175539? 3, 7, 13, 643 List the prime factors of 18359. 11, 1669 List the prime factors of 6972. 2, 3, 7, 83 List the prime factors of 1479. 3, 17, 29 What are the prime factors of 3955? 5, 7, 113 List the prime factors of 1637. 1637 What are the prime factors of 2016? 2, 3, 7 List the prime factors of 4499. 11, 409 What are the prime factors of 39611? 11, 13, 277 What are the prime factors of 6202? 2, 7, 443 List the prime factors of 1460. 2, 5, 73 List the prime factors of 407. 11, 37 List the prime factors of 124768. 2, 7, 557 List the prime factors of 1716. 2, 3, 11, 13 List the prime factors of 6926. 2, 3463 List the prime factors of 189. 3, 7 What are the prime factors of 22058? 2, 41, 269 What are the prime factors of 21379? 21379 List the prime factors of 4170. 2, 3, 5, 139 What are the prime factors of 14780? 2, 5, 739 What are the prime factors of 10621? 13, 19, 43 What are the prime factors of 395? 5, 79 List the prime factors of 21713. 21713 List the prime factors of 1843. 19, 97 List the prime factors of 114137. 311, 367 What are the prime factors of 103780? 2, 5, 5189 List the prime factors of 109880. 2, 5, 41, 67 What are the prime factors of 681? 3, 227 What are the prime factors of 6289? 19, 331 What are the prime factors of 47936? 2, 7, 107 What are the prime factors of 33000? 2, 3, 5, 11 List the prime factors of 1450. 2, 5, 29 What are the prime factors of 7943? 13, 47 What are the prime factors of 37965? 3, 5, 2531 List the prime factors of 1130. 2, 5, 113 List the prime factors of 606. 2, 3, 101 List the prime factors of 1569. 3, 523 What are the prime factors of 17605? 5, 7, 503 What are the prime factors of 324? 2, 3 What are the prime factors of 5970? 2, 3, 5, 199 What are the prime factors of 1023? 3, 11, 31 What are the prime factors of 9294? 2, 3, 1549 What are the
{ "pile_set_name": "DM Mathematics" }
4*i + 7. Let f be b(-5). What is the second smallest value in f, -0.5, u? u Let l = 0.26 + 0.04. Let y = -1 + 6. What is the smallest value in -0.3, y, l? -0.3 Let z = 13.45 + -14. Let u = z + 0.05. Let l = -4 + 1. Which is the second biggest value? (a) 0 (b) l (c) u c Let v = -0.8 - -0.3. Let u = -61 + 58. What is the second smallest value in u, 2, v? v Let r = 0.034 - -2.966. What is the second biggest value in -2, 1, r? 1 Let z = 2216/9 + -246. Suppose -8*l + 32 = -4*l. Let s = l + -6. What is the second biggest value in z, -1, s? z Suppose 14 = -0*p - 2*p + 4*m, 7 = 5*p + 4*m. Suppose -5 = -5*t - 30. What is the second smallest value in t, 3/7, p? p Let m = -12 + 7. Let g = 3.02 + -0.02. Let p = -3 - -3. Which is the third smallest value? (a) m (b) g (c) p b Let m = -69 + 761/11. Which is the third biggest value? (a) -0.43 (b) m (c) -0.1 a Let l = -116 - -123.08. Let f = l + -7. Let t = f + -2.08. Which is the third biggest value? (a) t (b) -0.06 (c) 5 a Let q = 15 - 17. Suppose 3*b = -15 + 3. What is the second biggest value in q, 1/8, b? q Let u be (-3 - -1)/(2/(-4)). Suppose 3*m - 5 = u. What is the biggest value in -3, -1/9, m? m Let d = 0.9 - 1. What is the biggest value in d, 3, -3? 3 Let v = 1 + -2. Let j = -1.8 + 2. Let w = -57 + 60. What is the second smallest value in w, j, v? j Let p = 5 - 1. Let f be (-4)/(-35) + 2/(-5). What is the third biggest value in 0, f, p? f Let o = 53.5 + -53. Which is the third smallest value? (a) 5/2 (b) o (c) -2 a Let n = 5 + -3. What is the third smallest value in -0.4, n, 4, 1? n Suppose -3*r + 18 = 3*a, -5*a - 4*r + 2*r + 15 = 0. Let s be (5/(-3) - -1)*a. Let h = -2.5 + 0.5. What is the smallest value in h, 0.1, s? h Let j(i) = 3*i - 12. Let u(y) = -13*y + 48. Let x(t) = -9*j(t) - 2*u(t). Let s be x(9). Suppose s*v = -v. Which is the smallest value? (a) 1 (b) v (c) 5 b Let k be (-4)/(-1 + -1) + -6. Suppose -3*b = -0*b - 6. Let z be (k/(-30))/(b/(-10)). What is the third biggest value in z, 3/5, 1/2? z Suppose 5*j - 6 = 4. Let s be 6/21*4/j. Let l = -1 - -2. What is the second smallest value in s, l, -0.1? s Let r = -0.1 - 0.1. Let g = -723 - -724.3. What is the third biggest value in 0.3, r, g? r Let s be 8/(-6) - (-12)/(-18). What is the third biggest value in s, 1, 0.02? s Let k = -1/7 + 9/14. Let v = 66 - -18. Let u = v + -250/3. What is the biggest value in u, k, 0.4? u Let d = 1/18 + 11/18. Let w = 68 - 68. Which is the second smallest value? (a) d (b) w (c) -0.3 b Let j = 4.6 + -5. Let w = 0.5 + -0.4. Let f = -0.2 + w. What is the biggest value in f, 2, j? 2 Let t = 3.929 + 0.071. Let v = 347/17 - 102/5. Let g = 16/85 + v. What is the second biggest value in t, g, -0.2? g Let f be 6/54*(-1 - 0). Which is the fourth smallest value? (a) 4 (b) f (c) -0.1 (d) -2 a Let a = 0.1 + -2.6. Let x = 3 + a. What is the second biggest value in x, -4, -2/3? -2/3 Let w = -0.5 - 3.5. Let z = 7 - 6. Let p be (-4)/10 + 0 + 0. What is the third smallest value in z, w, p? z Let r be (-22)/(-5) + 6/(-15). Suppose v = -r*v + 20. Let g be (-20)/(-12)*v/30. What is the second smallest value in -0.1, g, -3? -0.1 Let q = -985145/35394 + 2/5899. Let g = q - -1133/42. Which is the third smallest value? (a) 1 (b) g (c) 0 a Let g be ((-7)/(14/4) + 1)*5. Let u be (3 - (2 - 0))/(-6). Which is the biggest value? (a) g (b) u (c) -2 b Let d = 53 + -52.96. Let z = -0.06 - 0. Let k = z - d. What is the biggest value in -0.5, 3, k? 3 Let g = -1.5 - 13.5. Let s = -15.9 - g. Let l = s + 4.9. Which is the smallest value? (a) -0.1 (b) 0.2 (c) l a Let z(t) = -t**2 + 6*t + 3. Let k be z(7). Let j be (-5)/7 + (-4)/k. Which is the second biggest value? (a) j (b) 5 (c) -1/4 a Let y = 0.2 + -5.2. Let h = -4.31 + -0.19. Let d = h - y. What is the second biggest value in 0.1, d, 0.4? 0.4 Let p = -6.9 + 8. Let r = p - -2.9. Which is the third biggest value? (a) 3/7 (b) r (c) -0.3 c Let y = -29 + 85/3. What is the fourth smallest value in 0.2, y, 2/13, -1/6? 0.2 Let v be (-2)/(-10) - (-4)/10. Which is the smallest value? (a) 2 (b) 1 (c) v c Let x = 33 - 33.7. Let j = -0.36 - 0.04. Let c = j - x. What is the biggest value in -1, 4, c? 4 Let k(i) = i**2 - 7*i + 5. Let w = -18 - -10. Let m be (-14 - 0)*4/w. Let t be k(m). Which is the second smallest value? (a) t (b) 0.2 (c) -0.5 b Let v = 4.2 + -0.2. Let g = 0 - -2. Let p be (-5)/g - 2/(-1). Which is the smallest value? (a) p (b) v (c) -5/3 c Let j = -66 + 71. What is the smallest value in 0.2, j, 0? 0 Let h(g) = -187*g**3 - 2*g**2 - g. Let u be h(-1). Let o be u/(-66) - (-2 - 1). Let r be (2/(-1)*1)/3. What is the third biggest value in r, o, -4? -4 Let n = -0.48 - -5.48. What is the third biggest value in -13, n, 2/17, 2/7? 2/17 Let l = 40 + -41. Which is the biggest value? (a) l (b) -78 (c) -5 a Let k = 9/26 - -2/13. Let d = 6 + -6.06. Let f = -2.94 + d. What is the third biggest value in -1/4, f, k? f Let z = -11.1 + 11.1. What is the biggest value in z, -0.2, -0.5, 4? 4 Let x = -7 - -2. Let o = -8 - x. Which is the second biggest value? (a) -2 (b) 1 (c) o a Let u = -2 - -1.5. Let b = u - 0.5. Let i = b - 2. What is the biggest value in i, 0.4, 4? 4 Let p = -37/2 - -17. Which is the second biggest value? (a) p (b) -0.23 (c) 0.2 b Let l = -2/71 - -75/142. Let d = 3.3 - 0.3. What is the third smallest value in 0, l, d? d Let u = -305/6 - -51. Let l = -5.6 + 6. What is the third smallest value in 0.1, u, l? l Let m = 17 + -22. Let d = -4 - m. What is the biggest value in 3, -1, d? 3 Let x(m) = -m**3 + 7*m**2 + m - 7. Let r be x(7). Let g be -3 + 0 - r/4. What is the biggest value in -4, g, 1/4? 1/4 Let c = 19 - 20.8. Let m = c + 2. What is the second biggest value in m, 3, 1/4? 1/4 Let v = 1.1 - 1. Suppose 0 = 7*d + 3*d + 10. Which is the third smallest value? (a) v (b) 2/7 (c) d b Let s be 2/3 + (-7)/(-3). Let g be -4 + (-3 - (-178)/26). Which is the biggest value? (a) s (b) -4 (c) g a Let q = 3/142 - -263/994. Which is the second biggest value? (a) 4 (b) q (c) 1/7 b Let v = -4 - 0. What is the smallest value in 4/3, -1/8, v? v Let o be -6 + 8 + -1 + 1. Suppose -w = -0*f - f, 3*f = 4*w + o. What is the second smallest value in 4, w, -1/4? -1/4 Let g be ((-3585)/(-54) + 3)*2. Let n = -139 + g. Let q = -9 - -8. Which is the third smallest value? (a) q (b) n (c) -0.3 b Let l = 0.8 - 0.7. Which is the second biggest value? (a) 2 (b) l (c) 0.4 c Let t be 5*(-2)/8 + 1. Let x = -1.58 - -0.18. Let i = x + -0.6. What is the third smallest value in 3, i, t? 3 Let j = 2.72 + 2.17. Let o = j - -0.11. Which is the third smallest value? (a) o (b) 1/2 (c) -5 a Let g = 43 + -39. What is the third smallest value in 1, -2, g, -1? 1 Let f = -0.07 + 3.07. Which is the third smallest value? (a) f (b) 2/7 (c) 4 c Let l = 48/185 + -3962/14985. Let v = 322/405 - l. What is the biggest value in 2, 0.4, v? 2 Let n = -0.4 - -0.3. Let z = n + -0.1. Suppose -3 = -k - 0. What is the biggest value in k, z, 2/3? k Let g(n) = -12*n + 16. Let f be g(5). Let o be (0 - -1) + 55/f. What is the third smallest value in 0.2, o, 1? 1 Let c = -5.3 + 0.3. What is the third biggest value in c, -3, 2/7? c Let v be -4 - (-7 + 2 + -3). Suppose 11 = q + 3. Suppose -3*j - 9 = s + 2*s, -v*j = 2*s + q. Which is the second smallest value? (a) 0.5 (b) s (c) 3/2 a Let r = -0.04 - 0.26. Let x = -0.01 - 0.39. What is the second smallest value in x, -3, r? x Let r be (-26)/(-10) + 4/10. Which is the second biggest value? (a) r (b) 0 (c) -1/3 b Suppose 5*h = -3*a - 15, 2*a + 3*a + 3*h + 9 = 0. Let k = 0.34 + -0.54. Let s = 3 + -3.4. What is the third biggest value in s, a, k? s Let t = 4 + -1. Let k = -3.5 + t. Which is the second biggest value? (a) -2/7 (b) k (c) -1/5 a Let i = 1 - -3. Let b = 281/28 + -39/4. Let n = -4.1 + 0.1. What is the smallest value in b, i, n? n Let d = -0.003 - -5.023. Let p = d + -0.02. Let a = p - 7. What is the second smallest value in a, 0, 0.4? 0 Let o be (-1 + 75/81)/(3/(-9)). Which is the biggest value? (a) 3 (b) -5 (c) o a Let m be ((-12)/9)/((-1)/3). Suppose m*j = 4 - 16. Which is the second biggest value? (a) -2/5 (b) j (c) 3 a Let h be 1/(4/(-5)) + 1. Let f be (1/(-5))/(12/10). Let j be (1 - 47/45)*-3. Which is the
{ "pile_set_name": "DM Mathematics" }
(d) 17/3 (e) 0.5 c Which is the nearest to 2? (a) -1 (b) 152 (c) -3/61 c What is the closest to -4 in -4, -0.05519, 4/7, 5? -4 What is the nearest to -1 in 3, 589, -30? 3 Which is the closest to -1? (a) 2/85 (b) 4/147 (c) -3 a Which is the nearest to -18/13? (a) -1/41 (b) 4/5 (c) -0.3 c What is the nearest to -0.2 in 94, 0.02, 2, 0.5, 0.3? 0.02 Which is the nearest to 0.034? (a) 4 (b) -2 (c) -5 (d) -1/11 d Which is the nearest to -1/3? (a) -16/29 (b) -2/3 (c) 1.3 a Which is the closest to 4.6? (a) -22 (b) 0.4 (c) 0 (d) 5 d Which is the nearest to -47? (a) -2/15 (b) -2 (c) 2 (d) -2/19 b What is the closest to 10 in 4, 190, -4, -17? 4 What is the nearest to -1 in 7, -6615, 4? 4 What is the nearest to 3/8 in -0.1, 352855, 3/4? 3/4 Which is the nearest to 133? (a) 0.5 (b) 4 (c) 0.1 (d) 6/7 b What is the closest to 3/7 in -3/2, 4, 1587, 5, 1? 1 Which is the nearest to 1.11? (a) 4 (b) -420 (c) 0.03 c What is the nearest to 1 in 3, -472, 11/51, -0.3, 1? 1 What is the closest to 0.2 in -20059, 27, -4? -4 What is the closest to 10 in -104, -2, -3/2, 6, -1? 6 Which is the nearest to -2.8? (a) 3/2770 (b) -3/2 (c) 2 (d) 2/17 b Which is the nearest to -5? (a) -3 (b) -197 (c) 1/8 (d) 0.1 (e) 3/4 a What is the closest to 3/11 in 0, 5, -31, -0.06? 0 What is the nearest to -1/5 in 1, -6, -8/5, 8? 1 Which is the nearest to 2? (a) -9 (b) -278 (c) 0.4 (d) -1 c Which is the nearest to -7? (a) 7/6 (b) 0.06 (c) -3 (d) -25 c Which is the closest to 2/7? (a) -521/9 (b) -1/3 (c) 0.1 c Which is the nearest to -0.1? (a) -0.1 (b) -0.9 (c) 2/9 (d) 4 (e) 49.7 a What is the nearest to 3/2 in 0.07, 507, -50? 0.07 What is the closest to -1 in 2/163, -1/501, -4? -1/501 Which is the nearest to 2/5? (a) -0.4 (b) -0.02 (c) -1/9 (d) 7 b What is the nearest to -7/5 in -1, -5/6, -63, 2/9? -1 What is the closest to 0.1 in -15, 5, -4, -0.1, -1.6? -0.1 What is the nearest to 8 in -2, -497, 2? 2 Which is the nearest to -10? (a) 0 (b) -1/5 (c) 0.2233 b What is the nearest to -0.1 in -5, -8208, -3? -3 Which is the nearest to -1? (a) 23 (b) -0.8 (c) 0.4 (d) -0.06 b Which is the nearest to -0.3? (a) 0.1 (b) 271 (c) 0.4 a What is the nearest to -3 in -0.05, -19/3, -1/281? -0.05 What is the closest to -2/7 in -1.5, -0.38, -2.2? -0.38 What is the closest to 1/4 in -10, -50/21, 1/2? 1/2 Which is the nearest to 1? (a) -20/3 (b) -1 (c) 2/9 c Which is the nearest to 3853? (a) -0.3 (b) 0.4 (c) -5 b What is the closest to -0.8 in -3/7, 6, 1/4? -3/7 Which is the closest to -1/3? (a) 7 (b) 1977 (c) -3/5 c Which is the nearest to 0? (a) -0.04 (b) -5 (c) 0 (d) -1/5 c Which is the nearest to 0? (a) 4/5 (b) 3/14 (c) -10 (d) 254 (e) -5 b Which is the closest to 34? (a) 6/13 (b) 4 (c) 1/28 b What is the nearest to 69 in -66, 3, -3? 3 What is the nearest to 5/4 in -0.04, -1, -0.43, 29? -0.04 Which is the closest to 2? (a) -42 (b) -0.2 (c) -97/4 (d) -0.7 b What is the nearest to 0.89 in -5, -1/7, -2, 0.1, 2/613? 0.1 Which is the nearest to 34? (a) 2/13 (b) 5 (c) 2/29 (d) -3 (e) 0.5 b What is the closest to 0.03 in 0.04, 1, -3, -26? 0.04 What is the closest to 2/7 in -1, -2, -3, -815? -1 What is the nearest to 1 in -24, 34, 74? -24 What is the closest to -8 in 2/3, 0, 1, -12, -5? -5 Which is the closest to -0.2? (a) 0.4 (b) 0.5 (c) 1.6 (d) 0.05 d Which is the nearest to 368? (a) 0.3 (b) -3/2 (c) 3/4 (d) 2/15 c What is the nearest to -0.1 in -3, -4, -213.1? -3 What is the closest to 753 in -40, -4/9, -0.3? -0.3 What is the closest to -22 in -1, -0.13, 3/59, 3? -1 What is the closest to 554 in 9/2, 0, -0.1, 0.1? 9/2 Which is the closest to -69? (a) 41/5 (b) 2/3 (c) 0.7 (d) 2/7 d What is the nearest to 0.497 in -1, 64/5, 0.4? 0.4 What is the nearest to -0.71 in -5, -0.07, 4, 2/5? -0.07 What is the nearest to 0 in -5/7, -4, 5, -3/4, -4/7? -4/7 What is the nearest to -6.7 in -640, 2/11, -4? -4 What is the closest to 1 in 0.4, 17, -2/15, -1? 0.4 What is the nearest to 12/469 in -4, -4/7, 1/6? 1/6 What is the nearest to 45 in -0.042, 2/7, -1? 2/7 What is the nearest to -1 in 0.8, -15, 4, -1/4, -11? -1/4 What is the closest to 1 in -3, 2/5, 4763/3? 2/5 Which is the nearest to 1/14? (a) 1.1 (b) 3 (c) -178 a Which is the closest to -166.4? (a) 4 (b) 3/4 (c) 8 b What is the nearest to 1/4 in 0.5, 2488, -4? 0.5 What is the closest to -2/7 in 2/21, -3/5, 0, 338? 0 What is the closest to -1 in 0.4, -17, 0.5, 0.02, 2/3? 0.02 Which is the nearest to 2? (a) -118/7 (b) -0.4 (c) -2/37 (d) -1 (e) -3 c What is the closest to -113/5 in -4/13, 4, -1, 2, -2/3? -1 Which is the closest to -54? (a) 38/3 (b) -2 (c) -1 (d) 1 (e) -0.5 b What is the closest to 0.1 in -360, -2/3, 5, 0.13? 0.13 Which is the nearest to -0.1? (a) 0.2 (b) 1 (c) -9808 a What is the closest to 1/4 in -5, -507, -0.043, 2, 1? -0.043 What is the nearest to 1/18 in -5, -5633, 0.4? 0.4 What is the closest to -2 in -106, -5/2, 1? -5/2 What is the nearest to 1 in 1/8, -6/11, 46? 1/8 What is the closest to -1 in 39, 8/95, -0.1? -0.1 Which is the nearest to -1/27? (a) -1 (b) 44 (c) -0.202 c Which is the nearest to -0.1? (a) 94 (b) 0.227 (c) -1/2 b Which is the nearest to -7? (a) 1/3 (b) -62 (c) 2/307 c Which is the closest to 2/7? (a) 0 (b) 1 (c) -18734 (d) -2/11 (e) 0.5 e What is the nearest to 0.8 in -96, -5, -0.4, 3? -0.4 Which is the closest to 0? (a) 0.03 (b) 3 (c) 41/19 (d) -0.5 (e) 0.1 a What is the closest to -2/3 in 9/22, 39, 305? 9/22 What is the closest to 1 in -3/2, -58, 835? -3/2 What is the closest to 1 in 3, 4/11, -186.79? 4/11 What is the closest to -82 in 4, -0.045, -4? -4 What is the closest to -16 in -1.8, -10, 0.1, -1? -10 What is the closest to -2 in 662, 2, -19? 2 Which is the nearest to 0.09? (a) 19 (b) -2/15 (c) 3 (d) 111 b Which is the closest to 8? (a) 1115 (b) -2/67 (c) 2 (d) 3/4 c What is the closest to 1/929 in -0.5, -3, -593? -0.5 What is the nearest to -12 in 3, 15, -4/5, 0.02? -4/5 What is the nearest to 0.775 in 6, -0.04, 2, 4? -0.04 What is the nearest to -1/4 in -0.4, -223, 0.421? -0.4 Which is the closest to 365? (a) 12 (b) 4 (c) -0.16 (d) -1 a Which is the nearest to -8/7? (a) 18/3875 (b) 3 (c) 3/5 (d) -0.2 d Which is the closest to 0.0058? (a) -0.2 (b) -2/41 (c) 3/7 b Which is the closest to -52? (a) -0.12 (b) 6 (c) -0.5 (d) 4 c Which is the nearest to 2? (a) -0.17 (b) 9 (c) 1 (d) 49 (e) -3/8 c What is the closest to -3/43 in -43, 1/75, -3? 1/75 What is the closest to -2 in 2, 134, 0.09? 0.09 Which is the closest to -4/5? (a) -1.87 (b) 2/7 (c) -4 a What is the nearest to -2/311 in 2/9, 0.5, 3/13? 2/9 What is the nearest to -0.1 in 5/2, 3, 10, -96? 5/2 Which is the nearest to -7? (a) 1 (b) -4 (c) 5/41 (d) -3 b What is the closest to -2/7 in 1/78, -7, 1? 1/78 Which is the closest to 0.02? (a) -2/5 (b) 1/4 (c) -432 (d) 2 b Which is the nearest to -0.0905? (a) 0.1 (b) 2/39 (c) -2 (d) 1 b Which is the closest to -7/6? (a) 5 (b) 225 (c) 11 (d) 0 d What is the nearest to -2/177 in 5, -4/9, -178? -4/9 Which is the nearest to -91/4? (a) -4 (b) -1/3 (c) 4 (d) -7/2 a Which is the nearest to 0.5? (a) -617 (b) -2 (c) 0 c What is the closest to 2 in -4, 1/9, -2/3, 5? 1/9 What is the closest to 3 in -1, -0.1, -5, 5.9? 5.9 What is the nearest to 0.07 in -1939, -0.05, 1/7? 1/7 What is the nearest to -1 in 3, 2, -3403? 2 What is the nearest to -1.003 in -1, 5, -3, -0.01? -1 What is the nearest to 5 in 0.01, -4/3, 1, 93? 1 What is the closest to -348 in 7/4, -3, -0.2? -3 What is the nearest to 0.1 in 1/9, 0.033981, 5? 1/9 What is the nearest to -1/2 in -3/4, 56, 78.3? -3/4 What is the nearest to -686.44 in 3/7, 5, -1? -1 Which is the nearest to 1? (a) 75 (b) 0 (c) 0.5 (d) -1 c What is the nearest to -1 in -2/3, -0.4, 1/1297, 1/5, -5? -2/3 What is the closest to -2/801 in 0.2, -1, 5, -13? 0.2 Which is the nearest to 0.075? (a) -11 (b) -7 (c) -3/8 (d) 3 c What is the nearest to -3/61 in -1/6, -2, 0.3? -1/6 What is the closest to -1/2 in -15, -142, 0.04, -2? 0.04 Which is the nearest to 2? (a) -0.06 (b) -1 (c) -864 (d) 0.01 d What is the nearest to 0 in 339, 2, -1/2, 250? -1/2 What is the closest to -17859 in 4, -0.4, 0.4, 0.5? -0.4 What
{ "pile_set_name": "DM Mathematics" }
1 and -67/48. 4656 What is the common denominator of -91/2130 and -11/24? 8520 What is the smallest common multiple of 81 and 2673? 2673 What is the lowest common multiple of 75 and 30? 150 What is the lowest common multiple of 6 and 1827? 3654 Calculate the lowest common multiple of 280 and 910. 3640 Calculate the smallest common multiple of 36 and 36. 36 What is the common denominator of 89/116 and 99/16? 464 What is the smallest common multiple of 69 and 24? 552 Find the common denominator of 39/340 and 37/18. 3060 Calculate the smallest common multiple of 808 and 56. 5656 Calculate the least common multiple of 9 and 168. 504 Calculate the common denominator of -61/274 and -13/9. 2466 What is the common denominator of 13/36 and 19/12? 36 Calculate the smallest common multiple of 150 and 12. 300 Find the common denominator of 91/1142 and 61/14. 7994 Calculate the smallest common multiple of 72 and 72. 72 Calculate the smallest common multiple of 48078 and 18. 48078 Calculate the common denominator of 69/338 and 43/104. 1352 Calculate the common denominator of -29/624 and 73/14. 4368 What is the lowest common multiple of 3 and 156? 156 Calculate the common denominator of -83/48 and -27/16. 48 What is the lowest common multiple of 230 and 50? 1150 What is the common denominator of -13/29 and 83/8? 232 What is the common denominator of -6/169 and 33/169? 169 Calculate the common denominator of -149/1800 and -73/144. 3600 Calculate the common denominator of -57/40 and 31/448. 2240 Calculate the least common multiple of 180 and 6. 180 Calculate the least common multiple of 340 and 1326. 13260 What is the common denominator of 59/2408 and -11/56? 2408 Calculate the lowest common multiple of 11 and 1854. 20394 Calculate the least common multiple of 126 and 348. 7308 What is the common denominator of 29/480 and 23/1080? 4320 What is the least common multiple of 3440 and 430? 3440 Calculate the common denominator of 37/615 and -23/55. 6765 Find the common denominator of -97/70 and -99/10. 70 What is the smallest common multiple of 1034 and 5640? 62040 Calculate the common denominator of -139/420 and -157/210. 420 Calculate the smallest common multiple of 729 and 27. 729 Calculate the lowest common multiple of 44 and 77. 308 What is the lowest common multiple of 8 and 17? 136 What is the common denominator of 47/147 and -149/6? 294 Calculate the common denominator of 149/240 and -13/60. 240 Calculate the common denominator of -4/11 and -93/68. 748 Calculate the least common multiple of 16 and 70. 560 What is the smallest common multiple of 12 and 10? 60 Find the common denominator of 119/30 and 31/690. 690 Find the common denominator of 73/2 and 113/18. 18 Find the common denominator of 57/35 and 88/63. 315 Find the common denominator of 149/222 and 27/74. 222 Calculate the smallest common multiple of 399 and 7. 399 Calculate the least common multiple of 232 and 7. 1624 What is the least common multiple of 35 and 5? 35 Find the common denominator of 50 and 139/36. 36 Calculate the smallest common multiple of 24 and 8. 24 What is the smallest common multiple of 3300 and 3300? 3300 Calculate the common denominator of 97/4246 and 39/110. 21230 Calculate the smallest common multiple of 39 and 2214. 28782 Calculate the common denominator of 89/90 and -41/2718. 13590 What is the smallest common multiple of 54 and 79? 4266 Calculate the common denominator of -115/24 and -71/18. 72 What is the common denominator of 71/15 and 25/222? 1110 What is the lowest common multiple of 21 and 497? 1491 Calculate the lowest common multiple of 77 and 238. 2618 Find the common denominator of -53/3699 and 71/12. 14796 Calculate the lowest common multiple of 2945 and 45. 26505 What is the common denominator of 7/6 and -45? 6 Find the common denominator of 13/48 and 63/32. 96 Calculate the smallest common multiple of 105 and 2695. 8085 Find the common denominator of -37/3240 and -49/1620. 3240 What is the least common multiple of 78 and 286? 858 Calculate the least common multiple of 2332 and 30. 34980 What is the common denominator of -57/16 and -31/54? 432 Calculate the common denominator of -19/9 and -11/13. 117 What is the common denominator of -56/285 and -23/152? 2280 Calculate the lowest common multiple of 19 and 114. 114 What is the smallest common multiple of 4 and 64? 64 Find the common denominator of -91/3524 and -7/22. 38764 Calculate the common denominator of 25/81 and -16/229. 18549 Calculate the common denominator of -1/315 and -83/105. 315 Calculate the common denominator of 33/134 and 38/7. 938 Calculate the least common multiple of 16 and 340. 1360 Calculate the lowest common multiple of 3 and 3433. 10299 What is the smallest common multiple of 227 and 20? 4540 Calculate the least common multiple of 8 and 1376. 1376 What is the common denominator of -22/131 and -21/58? 7598 What is the least common multiple of 134 and 12? 804 Calculate the least common multiple of 734 and 11. 8074 What is the common denominator of 2/9 and 45/79? 711 What is the least common multiple of 32 and 4? 32 Calculate the least common multiple of 22 and 110. 110 Calculate the least common multiple of 485 and 1552. 7760 Calculate the common denominator of -95/4 and -37/312. 312 What is the lowest common multiple of 33412 and 12? 100236 Calculate the least common multiple of 33 and 63. 693 Calculate the lowest common multiple of 175 and 14. 350 What is the least common multiple of 216 and 54? 216 Calculate the common denominator of 57/16 and 1/94. 752 Calculate the common denominator of 19/5355 and 61/3465. 58905 What is the lowest common multiple of 290 and 8? 1160 What is the least common multiple of 351 and 30? 3510 What is the common denominator of 81/104 and -55/328? 4264 What is the least common multiple of 2212 and 3476? 24332 Calculate the common denominator of -61/22 and -109/730. 8030 Calculate the least common multiple of 4 and 2649. 10596 Calculate the lowest common multiple of 4 and 28. 28 What is the common denominator of 29/8188 and -31/23? 8188 Calculate the least common multiple of 550 and 3375. 74250 What is the lowest common multiple of 1365 and 1950? 13650 Find the common denominator of -5/728 and -5/624. 4368 What is the lowest common multiple of 142 and 28? 1988 What is the common denominator of -101/574 and 109/902? 6314 What is the common denominator of -91/522 and -14/6351? 38106 Calculate the common denominator of -145/24 and -139/1386. 5544 Calculate the least common multiple of 69 and 253. 759 Calculate the common denominator of 13/121 and 101/616. 6776 Find the common denominator of 107/250 and -91/40. 1000 Find the common denominator of 34/15 and -4/39. 195 Find the common denominator of 161/66 and 57/110. 330 Calculate the common denominator of -46/513 and 103/114. 1026 What is the common denominator of 109/24 and 25/16? 48 What is the smallest common multiple of 742 and 20? 7420 What is the common denominator of 59/119 and 55/102? 714 Calculate the smallest common multiple of 7 and 35. 35 What is the common denominator of -2/45 and -47/27? 135 Calculate the common denominator of 19/256 and 35/2. 256 Calculate the common denominator of 49/32 and 47/32. 32 Calculate the smallest common multiple of 4884 and 27. 43956 Calculate the smallest common multiple of 298 and 22. 3278 Calculate the least common multiple of 1414 and 7. 1414 What is the common denominator of 93/2272 and 131/144? 20448 What is the least common multiple of 8 and 5254? 21016 Calculate the least common multiple of 9 and 51. 153 What is the common denominator of 57/119 and 111/56? 952 What is the common denominator of -23/36 and -51/128? 1152 What is the common denominator of -119/2034 and 47/2486? 22374 Find the common denominator of 71/924 and -125/168. 1848 What is the least common multiple of 95 and 76? 380 What is the least common multiple of 176 and 488? 10736 Calculate the smallest common multiple of 26 and 1. 26 Calculate the common denominator of 44/117 and 103/754. 6786 Find the common denominator of 49/88 and -85/1664. 18304 Calculate the common denominator of -37/108 and -47/2. 108 What is the common denominator of -34/9 and 23/3? 9 What is the common denominator of 47/4355
{ "pile_set_name": "DM Mathematics" }
+ 7 What is the j'th term of -1839128, -3678263, -5517398, -7356533? -1839135*j + 7 What is the a'th term of 1617, 3294, 5117, 7164, 9513, 12242, 15429, 19152? 13*a**3 - 5*a**2 + 1601*a + 8 What is the o'th term of -3787437, -7574875, -11362313, -15149751, -18937189, -22724627? -3787438*o + 1 What is the n'th term of 3835, 15430, 34755, 61810, 96595? 3865*n**2 - 30 What is the p'th term of -11547943, -23095899, -34643845, -46191775, -57739683, -69287563? p**3 - p**2 - 11547960*p + 17 What is the l'th term of -1740956, -3481909, -5222862, -6963815, -8704768, -10445721? -1740953*l - 3 What is the x'th term of 402634, 391716, 362078, 304360, 209202, 67244, -130874, -394512? -1560*x**3 + 2*x + 404192 What is the i'th term of -341511, -341518, -341527, -341538? -i**2 - 4*i - 341506 What is the f'th term of -10118968, -20237935, -30356902, -40475869, -50594836? -10118967*f - 1 What is the q'th term of -12855370, -25710739, -38566108, -51421477, -64276846, -77132215? -12855369*q - 1 What is the r'th term of 3170, 7781, 13812, 21263, 30134, 40425, 52136? 710*r**2 + 2481*r - 21 What is the f'th term of 7833256, 7833230, 7833204? -26*f + 7833282 What is the y'th term of -18090, -18618, -19150, -19686, -20226, -20770, -21318? -2*y**2 - 522*y - 17566 What is the m'th term of 104782756, 104782757, 104782758, 104782759, 104782760, 104782761? m + 104782755 What is the d'th term of 3695, 823, -2047, -4915, -7781, -10645? d**2 - 2875*d + 6569 What is the i'th term of -463, -1579, -3331, -5719, -8743? -318*i**2 - 162*i + 17 What is the u'th term of -353850, -354389, -354928, -355467? -539*u - 353311 What is the d'th term of -1479, 2773, 7025, 11277? 4252*d - 5731 What is the t'th term of 326, 2593, 8818, 21005, 41158, 71281, 113378? 334*t**3 - 25*t**2 + 4*t + 13 What is the x'th term of -515831, -1031677, -1547527, -2063381? -2*x**2 - 515840*x + 11 What is the y'th term of -6728513, -6728522, -6728533, -6728546, -6728561, -6728578? -y**2 - 6*y - 6728506 What is the p'th term of -54633, -109271, -163903, -218523, -273125, -327703, -382251? p**3 - 3*p**2 - 54636*p + 5 What is the d'th term of 969, 1553, 1227, -465, -3979, -9771, -18297, -30013? -76*d**3 + d**2 + 1113*d - 69 What is the w'th term of 54530, 109609, 165236, 221411, 278134? 274*w**2 + 54257*w - 1 What is the g'th term of -10276462, -20552928, -30829406, -41105902, -51382422, -61658972, -71935558, -82212186? -g**3 - 10276459*g - 2 What is the n'th term of 27907819, 55815653, 83723487? 27907834*n - 15 What is the k'th term of -6929863, -6929862, -6929861, -6929860? k - 6929864 What is the k'th term of -2950, -2930, -2910, -2890, -2870? 20*k - 2970 What is the c'th term of 7435, 15650, 24645, 34420? 390*c**2 + 7045*c What is the f'th term of 908796, 908952, 909212, 909576, 910044, 910616, 911292? 52*f**2 + 908744 What is the p'th term of -2099799, -2099840, -2099881? -41*p - 2099758 What is the h'th term of 18706, 75347, 169746, 301897, 471794? -h**3 + 18885*h**2 - 7*h - 171 What is the u'th term of -29662057, -59324116, -88986177, -118648240, -148310305? -u**2 - 29662056*u What is the r'th term of -54012416, -108024829, -162037242, -216049655, -270062068, -324074481? -54012413*r - 3 What is the a'th term of 53529, 106865, 160197, 213525? -2*a**2 + 53342*a + 189 What is the h'th term of -13249368, -13249365, -13249362, -13249359, -13249356, -13249353? 3*h - 13249371 What is the r'th term of -314156, -627124, -940092, -1253060, -1566028? -312968*r - 1188 What is the p'th term of -598, -1128, -1778, -2548? -60*p**2 - 350*p - 188 What is the m'th term of -416, -1246, -2632, -4574, -7072, -10126? -278*m**2 + 4*m - 142 What is the s'th term of -23894, -48308, -73186, -98522, -124310, -150544? s**3 - 238*s**2 - 23707*s + 50 What is the l'th term of -9013863, -9013876, -9013911, -9013980, -9014095? -2*l**3 + l**2 - 2*l - 9013860 What is the d'th term of -45782, -91088, -136392, -181694, -226994? d**2 - 45309*d - 474 What is the l'th term of -76223, -306507, -690319, -1227665, -1918551, -2762983? -l**3 - 76758*l**2 - 3*l + 539 What is the m'th term of 60529, 60303, 60077, 59851, 59625, 59399? -226*m + 60755 What is the m'th term of 89070316, 178140637, 267210958, 356281279? 89070321*m - 5 What is the l'th term of -2915315, -5830630, -8745945, -11661260, -14576575, -17491890? -2915315*l What is the u'th term of 248, 3234, 8210, 15176, 24132, 35078? 995*u**2 + u - 748 What is the d'th term of -56883480, -227533916, -511951310, -910135662? -56883479*d**2 + d - 2 What is the j'th term of 17574, 18401, 19228? 827*j + 16747 What is the u'th term of 129618, 127741, 124612, 120231, 114598, 107713? -626*u**2 + u + 130243 What is the c'th term of 131343, 130809, 129919, 128673, 127071, 125113, 122799? -178*c**2 + 131521 What is the s'th term of -2166, -7477, -15932, -27531? -1572*s**2 - 595*s + 1 What is the t'th term of -18539086, -37078171, -55617256, -74156341, -92695426, -111234511? -18539085*t - 1 What is the n'th term of -58202431, -116404862, -174607295, -232809730, -291012167, -349214606, -407417047? -n**2 - 58202428*n - 2 What is the m'th term of 10183168, 20366361, 30549552, 40732741? -m**2 + 10183196*m - 27 What is the k'th term of -11, 43, 175, 385, 673? 39*k**2 - 63*k + 13 What is the y'th term of 694, 1395, 2126, 2893, 3702? y**3 + 9*y**2 + 667*y + 17 What is the l'th term of -463687, -463723, -463797, -463927, -464131, -464427? -3*l**3 - l**2 - 12*l - 463671 What is the a'th term of -46517, -46935, -48075, -50297, -53961, -59427, -67055? -60*a**3 - a**2 + 5*a - 46461 What is the c'th term of 606030, 606035, 606040, 606045, 606050? 5*c + 606025 What is the c'th term of 12357823, 24715644, 37073465? 12357821*c + 2 What is the u'th term of 6109912, 12219784, 18329652, 24439516, 30549376, 36659232, 42769084? -2*u**2 + 6109878*u + 36 What is the i'th term of -639623, -1277905, -1916187, -2554469? -638282*i - 1341 What is the d'th term of -453, -862, -1213, -1476, -1621, -1618, -1437? 5*d**3 - d**2 - 441*d - 16 What is the f'th term of 22194029, 22194028, 22194027, 22194026, 22194025? -f + 22194030 What is the g'th term of 5231, 10386, 15431, 20312, 24975, 29366, 33431? -9*g**3 - g**2 + 5221*g + 20 What is the f'th term of 117911, 235812, 353713, 471614, 589515, 707416? 117901*f + 10 What is the z'th term of -738625, -1477255, -2215883, -2954509? z**2 - 738633*z + 7 What is the z'th term of 1593, 6419, 14453, 25689, 40121, 57743? -z**3 + 1610*z**2 + 3*z - 19 What is the v'th term of -1825, -3163, -4499, -5833, -7165, -8495? v**2 - 1341*v - 485 What is the k'th term of 30921650, 61843310, 92764970, 123686630, 154608290? 30921660*k - 10 What is the a'th term of -63660783, -127321567, -190982353, -254643141, -318303931, -381964723, -445625517? -a**2 - 63660781*a - 1 What is the y'th term of -729, -451, -23, 549, 1259, 2101, 3069? -y**3 + 81*y**2 + 42*y - 851 What is the g'th term of -1012, -4550, -10132, -17758? -1022*g**2 - 472*g + 482 What is the g'th term of -2337721, -4675439, -7013155, -9350869, -11688581? g**2 - 2337721*g - 1 What is the s'th term of -3069396, -3069213, -3069030, -3068847, -3068664? 183*s - 3069579 What is the t'th term of 421, 5334, 13513, 24958? 1633*t**2 + 14*t - 1226 What is the s'th term of 132342975, 132342973, 132342971, 132342969, 132342967? -2*s + 132342977 What is the z'th term of 4968, 9972, 14998, 20058, 25164, 30328, 35562, 40878? 2*z**3 - z**2 + 4993*z - 26 What is the n'th term of 527825, 1055616, 1583323, 2110904, 2638317, 3165520, 3692471? -7*n**3 + 527840*n - 8 What is the x'th term of 669072, 669050, 669018, 668982, 668948, 668922, 668910? x**3 - 11*x**2 + 4*x + 669078 What is the v'th term of -86, -203, -266, -269, -206, -71, 142, 439? v**3 + 21*v**2 - 187*v + 79 What is the l'th term of -37830, -300132, -1011366, -2395998, -4678494, -8083320, -12834942, -19157826? -37411*l**3 - 425*l + 6 What is the d'th term of 10354, 9986, 9618? -368*d + 10722 What is the x'th term of 2312, 4669, 7154, 9827, 12748? 10*x**3 + 4*x**2 + 2275*x + 23 What is the b'th term of -5104521, -10209041, -15313561, -20418081, -25522601? -5104520*b - 1 What is the k'th term of -106988388, -213976776, -320965164? -106988388*k What is the l'th term of -143138, -143145, -143152? -7*l - 143131 What i
{ "pile_set_name": "DM Mathematics" }
ue in 2/5, -9, x? x Let i = -2.04 - -0.04. Which is the second biggest value? (a) 0 (b) i (c) 0.2 a Suppose 12 = -2*u + 2. Which is the smallest value? (a) 2/9 (b) 1/2 (c) u c Let k be ((-5)/2)/(4/(-8)). Let v = -0.46 - -0.06. What is the third biggest value in v, k, -0.3? v Let s = -8 + 5. Let y be (-1 - (-1)/2)/(9/(-2)). Which is the smallest value? (a) s (b) y (c) 5 a Suppose -2*s = 5*a - 30, -5*a - 4*s + s + 25 = 0. Let p = -6 + a. Suppose p*z + 2*g - 6 = 4*z, 5*z + g = -21. What is the second smallest value in 4, 0.2, z? 0.2 Let f = 21 - 19. Which is the smallest value? (a) 0.4 (b) -5 (c) f b Let l(j) = -2*j**2 + j + 1. Let k be l(-1). Let o(x) = -x**3 + 1. Let a be o(1). Let d = 5.7 - 6. What is the second biggest value in a, k, d? d Let d be (40/(-60))/(16/6). Which is the third biggest value? (a) d (b) -2/11 (c) 1/4 a Let k be ((-23)/(-10) + -2)/(-3). What is the biggest value in 2, k, 1, -2? 2 Let s = -0.2 + -0.8. Let y = -63.3 - -63. What is the second smallest value in y, 4, s? y Let y = 10 + -8. Let x be (-15)/12 + y/8. Which is the smallest value? (a) x (b) 5 (c) -4 c Let z = 1 + -6. Let v(c) = -c**2 - 24*c - 63. Let u be v(-21). What is the third smallest value in u, -4, z? u Let f = 89.1 - 89. Let k = 11/3 - 13/3. What is the smallest value in -4, k, f? -4 Let o = 14 + -2. Let k = o - 8. What is the second biggest value in 2, k, -1? 2 Suppose -2*f = 4*n + n - 8, -12 = -3*f. What is the third biggest value in n, -4, 5? -4 Let y = 2.94 + 0.06. Let n = 2.1 - 1.9. Which is the smallest value? (a) -0.5 (b) y (c) n a Let l(u) = 7*u + 23. Let q(z) = 4*z + 12. Let d(i) = 3*l(i) - 5*q(i). Let w be d(-11). Which is the smallest value? (a) 3 (b) w (c) 0.5 b Let g be (-2)/5 - 186/(-15). Suppose -g = -3*h + 7*h. Suppose d - 12 + 1 = -3*v, 13 = 3*v + 2*d. Which is the second smallest value? (a) h (b) 5 (c) v c Let i be 11 - 7/((-7)/(-2)). Let t be (1 - -1)*3/i. Which is the second biggest value? (a) t (b) 5 (c) 0.3 a Let l = 2 + -3. Let g = 2/35 - -1/7. What is the smallest value in g, l, -0.4? l Let f be 4/5*(-50)/20. Which is the third biggest value? (a) f (b) 0.1 (c) -4/5 a Let z = 1.97 - -0.03. Let w = 2.2 - z. Let g = -359/2 - -178. Which is the second smallest value? (a) 5 (b) g (c) w c Suppose 2*s - 4 = -2*s. Let i = 0.01 - -4.99. Which is the third biggest value? (a) s (b) i (c) 2 a Let n be (-1 - -4) + (8 - 20). What is the second biggest value in n, -0.4, 0.2? -0.4 Let t = -7870/11 + 716. Let p = 21/22 + t. What is the second smallest value in 5, p, 0.4? p Suppose -160 - 311 = 3*p. Let f be p/(-4) + (1 - -1). Let z = 41 - f. Which is the second biggest value? (a) 4 (b) z (c) 0 c Let z = 32 - 31.98. Which is the second biggest value? (a) -0.3 (b) z (c) 4 b Let t = -0.9 + 0.4. Let n = -10 + 5. Let i = n - -6. Which is the smallest value? (a) t (b) -4 (c) i b Suppose 5*f + 5*o = 40, 0*o - 5*o + 35 = 4*f. Which is the second smallest value? (a) -2/23 (b) -0.5 (c) f a Let l = 1 + 6. Let b = 5.4 - 0.4. What is the second smallest value in b, l, -1/2? b Let o = 0.153 + 0.147. Which is the smallest value? (a) -0.4 (b) o (c) -4 (d) 3 c Let m = -6.8 - -7. What is the biggest value in 1, m, 1/6, -0.5? 1 Let j(t) be the first derivative of t**3/3 - 11*t**2/2 + 14*t - 2. Let p be j(10). Which is the third biggest value? (a) p (b) 0.5 (c) 4/5 b Let t = 0.099 - -0.001. Let p be (2/3)/((-20)/18). What is the smallest value in 1/5, p, t? p Let i = -12.4 + 12. Let n = 3 - 7. What is the biggest value in n, -1/2, i? i Let h be (4214282*1/496)/(-163). Let l = -5/5053 - h. Let i = 52 - l. Which is the smallest value? (a) i (b) -4 (c) 4/7 b Let h = -0.3 + 0.36. Let x = -3.4 + 3.34. Let v = x + h. What is the third smallest value in -3/4, -1, v? v Let v = 35 + -32. Let m = -34 + 19. Let h be 8/m*(-2)/8. Which is the biggest value? (a) 0.1 (b) v (c) h b Let h = 1.9 - 11.9. Let u = h + 9.6. Which is the third biggest value? (a) u (b) 5 (c) 4 a Let y = 6 - 6. Let d = y - -3. Which is the third smallest value? (a) 1 (b) -0.3 (c) d c Let p be (1/2)/(1/(-18)). Let t be (1/2 - 2)/p. What is the third smallest value in t, -2/7, 0.2? 0.2 Suppose -7*q + 30 = -q. What is the biggest value in 1/3, q, -3/5? q Let k be 0 + (2/1)/((-14)/21). Let z = -5 - -1. Which is the third smallest value? (a) 0.4 (b) z (c) k a Let a = -2 + 0. Let h = a + -2. Let j = 0.019 + -0.219. What is the biggest value in 3, h, j? 3 Let n = 6 - 5.99. Which is the second biggest value? (a) -2 (b) -5 (c) n a Let z(i) = -21*i**3 - 2*i**2 - 2*i. Let t be z(-2). Let s = t + -1802/11. Which is the third biggest value? (a) 2 (b) -3 (c) s b Let d be 9*(-2)/2 + 2. Let t = d + 3. Which is the second smallest value? (a) 0 (b) -1 (c) t b Let p = -8 - -8.4. Let l = -593/17 - -35. What is the biggest value in -0.4, l, p? p Let y = -0.16 + -0.84. Let r = y + 4. Which is the third biggest value? (a) 0.3 (b) r (c) -0.3 c Suppose 0 + 30 = 5*f. Let v = f + -5. Which is the biggest value? (a) 5/4 (b) 0.2 (c) v a Suppose -8*h = -6*h + 14. Let k = h + 5. Let j = k - 1. What is the smallest value in j, 1, 0.1? j Let c = -0.2 - 0.3. Let j(f) = 2*f - f**3 - 7 - f**2 - 5*f**2 + 0*f**3 - 3*f. Let d be j(-6). What is the third smallest value in d, c, 0.2? 0.2 Let g = -1.1 - -0.1. Let o = 56 - 42.7. Let d = o - 13. Which is the third biggest value? (a) d (b) g (c) 4 b Let q be (-2)/(-12)*72/(-84). Suppose 0 = 3*d + 5*x + 35, x = 4*d - 2*d + 6. What is the third biggest value in d, 3/2, q? d Let z = -7.4 + 7.6. What is the second smallest value in 0, -1/8, -5, z? -1/8 Let o = 139 + -693/5. What is the second smallest value in 2/7, -2/13, o? 2/7 Let g = -11 + 6. Let m = 11 - 19. Let w = m - -8.5. What is the third biggest value in -3, g, w? g Let r = -23.4 + 25. Which is the smallest value? (a) 3 (b) 1/8 (c) r (d) 2/7 b Let n be (0 + (-12)/(-42))/((-5)/(-7)). Which is the third smallest value? (a) 17 (b) n (c) -0.4 a Let y = -6.31 + -0.39. Let f = y - -7. Let i = -1/64 + -107/1344. Which is the biggest value? (a) f (b) -2 (c) i a Let n = 0.04 + -0.84. Let l = n + -2.2. Let y = 3.1 + l. Which is the second biggest value? (a) 0 (b) 1 (c) y c Let p = -53/2 - -27. Let a = -3.11 + 0.11. What is the second biggest value in a, -2/3, p? -2/3 Let s = 16 - 66. Which is the third smallest value? (a) -3 (b) -5 (c) s a Let i = 2/231 + -488/3003. What is the fourth smallest value in 6, -2, i, -3? 6 Suppose -2 = -5*l + 4*l. Suppose -4*n + 13 = -y, -l*n + y - 4 = -3*y. Let z = 7 + -7.5. What is the third biggest value in 0.5, z, n? z Let f = 3.98 + 0.02. Let v = 502 + -501.5. What is the third biggest value in v, f, -1/4? -1/4 Suppose 3*f - 77 = -4*v, 3*f = -4*v + 4*f + 65. Let s = v - 15. What is the smallest value in s, -2, 3? -2 Let z = -6 + 6.1. Let p = 0.3 - z. Let f = 1 - 0.6. Which is the smallest value? (a) p (b) 2 (c) f a Let q = -1 + 1. Let t = -6.9 - -7. Let v = -1.1 + t. Which is the third biggest value? (a) v (b) q (c) -2/11 a Let j = 0.13 + 0.07. Let m be 0 - (-3)/(-42)*4. What is the biggest value in 4/7, j, m? 4/7 Let z be 1/(-6)*(-153)/12 - 2. Which is the fourth biggest value? (a) 0.5 (b) 5 (c) 0 (d) z c Let m = 10 - 2. Let f = -11 + m. Which is the second biggest value? (a) f (b) 5 (c) -0.2 c Suppose m + 50 = -m. Let f be (-2)/(-8) - m/20. Let y = -0.3 + -0.1. Which is the third smallest value? (a) 3/7 (b) f (c) y b Let i(q) = 3*q + 1. Let m be i(-1). Let b be 2 + m - -1 - -8. Let o be 2/(-30)*b/(-3). What is the third biggest value in 2/7, 3/2, o? o Let x = 46/15 - 689/210. Let b = 0 - 0.1. What is the third biggest value in x, -3, b? -3 Let r = -62 + 66. What is the third biggest value in r, -3, -1.6? -3 Let s = 0 + 0.2. Suppose -j = 2*w - 4, -3*w - 5*j = -w + 12. Suppose -w*f - 3*x + 23 = -2*x, 2*f - 3*x = 1. What is the third smallest value in f, s, 1? f Let n(i) = i**2 + i. Let k be n(-1). Let h(v) = -v + 3. Let q be h(k). Which is the third smallest value? (a) 4 (b) 2 (c) q a Let l = 0 - 4. Let h = l + 3.6. What is the second biggest value in h, 1, 0.1? 0.1 Let l = 0.2 - 0.1. Which is the biggest value? (a) 5 (b) -5 (c) l (d) 3 a Let s = -33.5 + 27. Let r = 19 + -12. Let u = s + r. W
{ "pile_set_name": "DM Mathematics" }
ose 0 = -2*h - 3*o + 1059, 14*h - 2*o = b*h + 1621. What are the prime factors of h? 3, 179 Let a(q) = -1154*q + 109. What are the prime factors of a(-11)? 7, 31, 59 Let j = -6560 - -13941. What are the prime factors of j? 11, 61 Suppose 3*m - 119812 = -71*u + 84*u, 5*m - 199666 = u. List the prime factors of m. 3, 17, 29 Let o(v) = -v**3 + 5*v**2 + 9*v - 1. Let u(p) = 6*p**2 - 2*p - 1. Let h be u(-1). Let n be o(h). Let g = n + 40. List the prime factors of g. 2 Let c(t) be the third derivative of -25*t**4/24 - 11*t**3/3 + 60*t**2 - t. List the prime factors of c(-7). 3, 17 Suppose 7 = -2*q + j - 2, -2*q + 4*j = 24. Let t be -2*-5*(-11)/q. Let k = t + -12. What are the prime factors of k? 43 Suppose 4*k - 254137 = -c, k - 5*c - 7339 = 56211. What are the prime factors of k? 5, 97, 131 Suppose -4*m + 3*x = -22814, 7*m - 2*m - 2*x - 28514 = 0. List the prime factors of m. 2, 2851 Let x(g) be the first derivative of -g**3/3 + 43*g**2/2 - 81*g - 84. What are the prime factors of x(26)? 19 Suppose 48*u - 14*u - 428638 = 0. List the prime factors of u. 7, 1801 What are the prime factors of (-4)/(-6) - ((-3648808)/(-12))/(-43)? 2, 13, 17 Let u(s) = 3*s - 31. Let d be u(12). Suppose -2*b - 61 + 205 = -d*p, 4*p + 66 = b. List the prime factors of b. 2, 41 Let q be (12/14)/((-2)/(-7)). Suppose -3*k = -x + 4, 5*x - 42 = q*k + k. Suppose -2 = -3*u + x, 2*r - 48 = -5*u. List the prime factors of r. 2, 7 Let a(p) = -p**3 - 2*p + 4. Let j be a(-3). Let k = 36 - j. List the prime factors of (-1 - (k - 223)) + -4. 3, 73 Suppose 7*s + 6*s + 50*s = 1204245. What are the prime factors of s? 5, 3823 Suppose 0 = 27*w - 9*w - 5724. Let g = 501 - w. List the prime factors of g. 3, 61 Let p = -10702 - -22696. List the prime factors of p. 2, 3, 1999 Let l(w) be the first derivative of 65*w**2/2 + 15*w - 105. What are the prime factors of l(5)? 2, 5, 17 Suppose -16*d = -17*d + 8*d. Suppose d = 12*q - 4*q - 3560. What are the prime factors of q? 5, 89 Let i(v) = -34*v + 16. Let t(m) = 69*m - 33. Let o(l) = 7*i(l) + 4*t(l). What are the prime factors of o(9)? 2, 7, 23 Let b be (-13)/((-234)/27)*-2. Let q = -1751 - -725. List the prime factors of (1/2)/(b/q). 3, 19 Let y = 827 + -781. Suppose -5*d + 2408 = l, d - 423 = 4*l + y. List the prime factors of d. 13, 37 Let f be (2/14 - 29112/(-56)) + 2. Let t = -92 + f. List the prime factors of t. 2, 5, 43 Suppose 7472 = 2*k - 68*q + 64*q, 0 = 5*k - 5*q - 18650. What are the prime factors of k? 2, 7, 19 Let o(f) = 29*f**2 + 3*f + 3. Let l be o(-2). Let q be (-24)/(-4) - (-5)/((-35)/21). Suppose -q*j - l = -4*j. What are the prime factors of j? 113 Suppose -7*q + 77 = 14. Let a be 10/(-8)*(-8)/(9 - 7). Suppose -t + q = -4*b - 75, 273 = 3*t - a*b. What are the prime factors of t? 2, 3 Let r = -170 - -167. List the prime factors of (4404/8)/(r/(-2)). 367 Suppose -7*h + 11*h - 12 = 0. Suppose h = -a + 4. What are the prime factors of -5*(0 - a)/(3 + -2)? 5 List the prime factors of (460/12)/((-852)/(-1980) + (-4)/10). 5, 11, 23 Suppose 4*u - 72 = 3*u. Suppose u = -6*t + 858. Let r = -32 + t. What are the prime factors of r? 3, 11 Let n(h) = -h**3 + 17*h**2 - 3*h + 21. Let k(t) = -t**2 + 6*t + 12. Let c be k(5). Let o be n(c). List the prime factors of 44 - (o/5 + 4). 2, 23 Let v(n) = -9*n - 25. Let d be v(5). Let w be 2/(-7)*d/20. List the prime factors of w/(-1) - 30/(-1). 29 Suppose 0 = 2*b - 27*b - 0*b + 131000. List the prime factors of b. 2, 5, 131 Let k be ((-8)/6 - 164/(-123)) + -2. What are the prime factors of 1*(3 + k) + 397? 2, 199 Let q = 35423 - 15468. What are the prime factors of q? 5, 13, 307 Let s be 3/1 - (250 + (-6)/(-2)). Let m = s - -394. Let j = m + -97. List the prime factors of j. 47 Let t(h) = 14*h**2 + 2*h - 98. What are the prime factors of t(-19)? 2, 2459 Let z(w) = -3*w - 15. Let h be z(-13). Let s be ((-79)/(-3))/(8/h). Let k = s - 59. What are the prime factors of k? 2, 5 Let o be 0 - (4 + 8)/(-2). Suppose 5*j = 19 + o. Suppose -3*a = -0*u + u - 64, -j*a = -u + 88. What are the prime factors of u? 73 Let p(b) = -5*b + 43. Let n be p(8). Suppose 0 = -11*l + 6*l - 10, 3*l - 882 = -n*o. List the prime factors of o. 2, 37 Let q = -22 + 22. Suppose q = -5*l - 436 + 1986. List the prime factors of l. 2, 5, 31 Let o(z) = 115*z. Let q(g) = -7*g - 2. Let x be q(-1). Let p be ((-12)/14)/(-3) + x/7. What are the prime factors of o(p)? 5, 23 Let u = -33 - -1558. Let s = -446 + u. What are the prime factors of s? 13, 83 What are the prime factors of ((-8736)/20 - -4)*(292/(-8) - -9)? 2, 11, 541 Let s be 3 + -13 + -5 + 3. Let j(r) = -2*r**3 - 9*r**2 - 4. Let f be j(s). Suppose -3*k = 8*k - f. List the prime factors of k. 2, 7 Suppose -18*d = -31*d + 65. Suppose -2*g + 14*n + 161 = 9*n, g = -d*n + 88. What are the prime factors of g? 83 Suppose -4*a + 5*a - 895 = 0. List the prime factors of a. 5, 179 What are the prime factors of (6314/(-132))/41 + 28705/6? 4783 Let d be 70/175 + 0 + 666/10. Let i = d - -154. Let h = i - -20. List the prime factors of h. 241 Let f(v) = -15*v**2 + 10*v - 47. Let m be f(6). Let b = m - -901. What are the prime factors of b? 2, 11, 17 Suppose -40*n - 148988 = -74*n. What are the prime factors of n? 2, 7, 313 Let m(b) = 14302*b**2 + 47*b + 38. List the prime factors of m(-2). 2, 19, 47 Suppose 2*z - 4 - 4 = 0, -3*i = 3*z - 17931. List the prime factors of i. 3, 11, 181 Let u(p) = 14*p**3 - 50*p**2 - 18*p + 43. List the prime factors of u(12). 11, 139 Let p be (-7)/2*2 - 2*-1. Let m(w) = 24*w - 43. Let r be m(p). What are the prime factors of 3 + -4 - r - (-4)/4? 163 Suppose -2863*s + 119730 = -2848*s. List the prime factors of s. 2, 13, 307 Let r = -5 - -9. Let f(m) = -m + 10. Let t be f(r). Suppose -t*y = -y - 710. What are the prime factors of y? 2, 71 Let z(c) = 182*c**2 + 6*c + 3. Let s = -272 - -270. What are the prime factors of z(s)? 719 Let d = 42 + -40. Suppose -d*z + 4 = 3*p, -2*p - z = 3*p - 9. List the prime factors of 8*55/p*1/2. 2, 5, 11 Let i be (3 - (-715)/(-26))/((-1)/102). Suppose 3*u - 829 = -y - 2*u, 3*u - i = -3*y. List the prime factors of y. 2, 3, 139 Let i(s) = -9*s + 62. Let f be i(6). Suppose 62 + 186 = f*t. List the prime factors of t. 31 Let c = -845 + 535. Let j = -77 - c. What are the prime factors of j? 233 Let l = -29 - -31. Suppose b - 5*b = 4*c - 24, 3*b - 13 = -l*c. What are the prime factors of c? 5 Let x(n) = -4*n**3 + 4*n**2 + n - 30. Let a be x(-9). Suppose 0 = 5*p + 6*p - a. What are the prime factors of p? 3, 97 Suppose 12*g = 23*g - 13057. Let z = 101 + g. What are the prime factors of z? 2, 7, 23 Suppose -4*i = -3*b + 2744 - 199, -2*i + 4*b = 1280. Let w = -163 - i. List the prime factors of w. 3, 157 Let k = 38 - 36. Suppose -3*t + 325 = y, -k*t - 2*t - 3*y = -430. Suppose -t = -7*z + 115. List the prime factors of z. 2 Suppose 2*u + 3*u - 505 = -w, -4*u = 5*w - 2609. Let b = w + -335. What are the prime factors of b? 2, 5, 19 Let w(c) = -357*c + 418. What are the prime factors of w(-27)? 89, 113 Let d be 36/9 + 2*2. Suppose -5*y + d*y - 105 = 0. Suppose y = -c + 119. List the prime factors of c. 2, 3, 7 Suppose 0*h - 15 = -h. Let o(d) = 4*d - 57. Let y(p) = 4. Let l(z) = 2*o(z) + 22*y(z). List the prime factors of l(h). 2, 47 Suppose p + 4*a = -14, 0 = 5*p - p + 5*a + 1. Let r(o) = 4*o**2 + 36*o - 21. Let q be r(-11). Let b = q - p. List the prime factors of b. 61 Let x(z) = 832*z**2 - 5*z - 16. List the prime factors of x(-2). 2, 11, 151 Let r(h) = -1438*h - 20. Let a be r(-1). Suppose 18*d - 8366 + a = 0. What are the prime factors of d? 2, 193 Suppose -b - 4 = c, -5 = -3*b + 2*c + 3. Let w(n) = -2*n + 21. Let m be w(b). Let h = m - -14. What are the prime factors of h? 5, 7 Let c be 1*(-1)/(-1)*(1 + 2143). Let d = c + -1306. What are the prime factors of d? 2, 419 What are the prime factors of ((-108)/4)/3 + 9899? 2, 5, 23, 43 Let a be (1/(-12))/((-46)/184)*6. Suppose -2*t + 319 = -t. Suppose 4*q - 5*x = t, -157 = -2*q + x + a*x. What are the prime factors of q? 2, 43 Let k(y) = 46*y - 218. Let g be k(5). Suppose -3*b = g*q - 9*q - 1305, 5*q = 4*b + 2184. List the prime factors of q. 2, 109 Let v = 41 - 34. Suppose 10 = b + v. List the prime factors of 125 - (b + -4 + 4). 2, 61 Suppose 0 = -4*f + 5*y + 9193, -4*f + 0*y + 9220 = 4*y.
{ "pile_set_name": "DM Mathematics" }
17 = 3*t - g, 2*t + 2*g - 8 = 0. Suppose 0 = t*o + 5*q + 5, -3*q - 9 - 3 = 0. Factor -3*w**2 - 45*w + o*w**4 + 45*w. 3*w**2*(w - 1)*(w + 1) Let j(m) be the second derivative of 3*m**6/40 + m**5/30 - 5*m**2/2 + 12*m. Let d(w) be the first derivative of j(w). Factor d(h). h**2*(9*h + 2) Let j = 1804 + -1802. Factor -4/9*u + 2/9 + 2/9*u**j. 2*(u - 1)**2/9 Let v(a) be the first derivative of 7/10*a**5 + 0*a**2 + a - 4/3*a**3 + 0*a**4 + 1/5*a**6 - 5. Let t(p) be the first derivative of v(p). Factor t(z). 2*z*(z + 1)*(z + 2)*(3*z - 2) Let p(x) be the third derivative of -x**8/3528 + 11*x**7/2205 - x**6/36 + 5*x**5/126 + 7*x**2 - 19. Factor p(g). -2*g**2*(g - 5)**2*(g - 1)/21 Suppose 0 = -2*k - h - 1, -5*k + 2*k = 2*h + 4. Suppose -m**k + 3*m**3 + 3*m**3 + 1 + m - 7*m**3 = 0. Calculate m. -1, 1 Factor -3/4*j**3 - 3/4*j**2 + 3*j + 3. -3*(j - 2)*(j + 1)*(j + 2)/4 Suppose -t + 4*n = 16, -n + 16 = 5*t + 3*n. Suppose -2*i + 7*i - 75 = t. Factor -5*f**4 + 15*f**3 + 1 + 6*f**3 + i*f - 4 - f**4 - 27*f**2. -3*(f - 1)**3*(2*f - 1) Let n = 225 - 218. Let c(o) be the third derivative of 1/3*o**3 + 0 + 1/30*o**6 - 8*o**2 - 1/6*o**4 + 0*o**5 + 0*o - 1/105*o**n. Factor c(g). -2*(g - 1)**3*(g + 1) Let b(n) be the first derivative of -n**5/12 - 5*n**4/24 + 7*n**2 + 14. Let k(j) be the second derivative of b(j). Solve k(t) = 0 for t. -1, 0 Suppose -x = -0*x. Let g(d) = d**3 + 10*d**2 + 24*d + 4. Let i be g(-4). Factor 0 + x*f - 36/7*f**i - 24/7*f**3 - 4/7*f**2. -4*f**2*(3*f + 1)**2/7 Let a(y) be the first derivative of -7*y**4/4 + 37*y**3/2 - 15*y**2 - 21*y - 9. Let t(l) be the first derivative of a(l). Factor t(k). -3*(k - 5)*(7*k - 2) Let m(y) be the first derivative of 2*y**5/55 + 2*y**4/11 + 97. Let m(n) = 0. What is n? -4, 0 Let i(q) be the first derivative of q**6/600 + q**5/300 - q**4/12 + 4*q**3/15 + 35*q**2/2 + 2. Let n(x) be the second derivative of i(x). Factor n(k). (k - 2)*(k - 1)*(k + 4)/5 Let p(t) be the third derivative of -1/30*t**6 + 2/105*t**7 + 0*t**4 - 1/252*t**8 + 30*t**2 + 1/45*t**5 + 0*t + 0 + 0*t**3. Factor p(o). -4*o**2*(o - 1)**3/3 Let u(k) = -2*k**4 - 4*k**3 + 6*k**2 + 4*k + 4. Let t(s) = -s**3 + 1. Let i = 60 + -56. Let w(d) = i*t(d) - u(d). Suppose w(j) = 0. What is j? -1, 0, 2 Suppose 36 = 4*c - 8. Find g such that 9*g**4 + g + 10*g**3 + c*g**3 - 5*g**2 - 18*g**3 = 0. -1, 0, 1/3 Let s(h) = h**2 + 9*h + 9. Let y(w) = 2*w**2 + 17*w + 18. Let d(o) = o**2 + 12*o + 30. Let t be d(-9). Let i(b) = t*y(b) - 5*s(b). Factor i(x). (x + 3)**2 Let g be (-2)/10 - 399/(-30)*18/252. Factor 1/4 + 1/8*v - g*v**2 + 1/8*v**3 + 1/4*v**4. (v - 1)**2*(v + 2)*(2*v + 1)/8 Let p = 410 - 407. Factor -112/3*v - 12*v**p + 32/3 + 40*v**2. -4*(v - 2)*(3*v - 2)**2/3 Let n(y) = 9*y**2 - 5*y**3 + 6*y**3 - 13*y - 2 - 2*y**3 - 5. Let c be n(7). Factor -1/3*f**2 + 0*f + c - 1/3*f**3. -f**2*(f + 1)/3 Let l(i) = -2*i. Let g(u) = 5*u**2 + 8*u. Let a(z) = -g(z) + 3*l(z). Factor a(t). -t*(5*t + 14) Factor j**3 + 1/2*j**4 - 15/2*j**2 + 0 - 18*j. j*(j - 4)*(j + 3)**2/2 Suppose -2*y - 4*n = -14, 5*n = -3*y - 7 + 25. Let p(m) be the first derivative of y + 3/8*m**2 - 1/2*m**3 - 3/16*m**4 + 3/2*m. Find t, given that p(t) = 0. -2, -1, 1 Let i = -7535 - -7537. Let 32/3*t**5 - 40/3*t**3 + 20/3*t**i - 16/3*t**4 + 8/3*t - 4/3 = 0. What is t? -1, -1/2, 1/2, 1 Let i(q) = -q**2 + q - 2. Let x(s) = -4*s**2 - 2*s**2 - 3*s + 10*s**2 + 6. Let f(c) = 14*i(c) + 4*x(c). Factor f(l). 2*(l - 1)*(l + 2) What is s in -26/19*s**2 + 10/19*s**4 + 16/19 + 2/19*s**5 + 2/19*s**3 - 4/19*s = 0? -4, -2, -1, 1 Let i = 5114/9 - 568. Let o(r) be the second derivative of -1/45*r**6 + 0 + i*r**2 + 5*r - 1/9*r**3 + 7/90*r**5 - 1/18*r**4. Find b, given that o(b) = 0. -2/3, 1 Let g be 40/15*(-3)/(-2). Let q(p) be the first derivative of -1/8*p**g + 0*p + 0*p**2 - 8 + 0*p**3. Factor q(u). -u**3/2 Let b be 17/(102/84) + -11. Factor 1/3 - 3*k**b + 5/3*k + k**2. -(k - 1)*(3*k + 1)**2/3 Let p(a) be the third derivative of a**9/1008 - a**7/140 + a**5/40 + 17*a**3/6 + 17*a**2. Let h(w) be the first derivative of p(w). Suppose h(q) = 0. What is q? -1, 0, 1 Factor -d**2 - 3*d**2 - 56 - 3*d - 29*d + 2*d**2. -2*(d + 2)*(d + 14) Let f be -6 - ((9 - 2) + -169). Suppose 8*p - f = -132. Factor 1/3*g**5 - g**4 + 0 + 1/3*g**p - 2/3*g + g**2. g*(g - 2)*(g - 1)**2*(g + 1)/3 Let g(z) be the third derivative of z**8/784 + z**7/294 - z**6/84 - z**5/14 - 25*z**4/168 - z**3/6 - 30*z**2 - 2. Determine n, given that g(n) = 0. -1, 7/3 Let p(w) be the first derivative of -98*w**3/27 + 280*w**2/3 - 800*w + 348. Find q, given that p(q) = 0. 60/7 Factor -3/5*g**4 + 216/5*g + 204/5*g**2 + 0 + 42/5*g**3. -3*g*(g - 18)*(g + 2)**2/5 Let n(f) = 5*f**2 - 510*f + 12996. Let h(w) = -10*w**2 + 1020*w - 25989. Let c(b) = 3*h(b) + 7*n(b). Factor c(o). 5*(o - 51)**2 Let g(w) be the second derivative of w**4/9 + 76*w**3/9 + 722*w**2/3 - 19*w + 5. Factor g(f). 4*(f + 19)**2/3 Let t(f) be the second derivative of -49/6*f**4 + 17/30*f**6 + 0 + 21/2*f**3 - 1/42*f**7 + 6*f - 31/10*f**5 + 81/2*f**2. Factor t(x). -(x - 9)**2*(x - 1)*(x + 1)**2 Let w be 5/(-8)*(-520)/65. Find h, given that 0*h**2 + w*h**3 + 0*h - 15/2*h**5 + 0 + 5/2*h**4 = 0. -2/3, 0, 1 Suppose -50*i - i**2 + 5*i**4 - i**5 - 5 - 37*i + 0 - 7*i**3 + 95*i + 1 = 0. Calculate i. -1, 1, 2 Let d be -3 - 29/(-9) - 1101/(-27). Let m = d - 41. Determine y so that 4/3*y - 4/3*y**3 + 2/3*y**4 + m*y**2 - 2/3 = 0. -1, 1 Let a be (64/(-40))/4 + 24/10. Suppose -12*v**a - 6 + 18*v**2 + v - 2*v**3 + v = 0. What is v? -1, 1, 3 Let b(n) be the third derivative of -n**8/84 - n**7/105 + n**6/12 - n**5/15 - 22*n**2 + 3*n. Solve b(s) = 0 for s. -2, 0, 1/2, 1 Let l = 57 - 35. Let f(c) = 6*c**2 - 16*c - 4. Let q(y) = 29*y**2 - 81*y - 20. Let x(t) = l*f(t) - 4*q(t). Let x(z) = 0. Calculate z. -1/4, 2 Let j be (-2 + 38)/(-9) + 6. Let u(d) be the first derivative of 1/24*d**3 - 1/40*d**5 + 1/48*d**6 + 0*d**j + 0*d + 2 - 1/32*d**4. Factor u(p). p**2*(p - 1)**2*(p + 1)/8 Let q(j) be the third derivative of j**7/13860 + j**6/1320 + 5*j**4/24 - 34*j**2. Let p(v) be the second derivative of q(v). What is c in p(c) = 0? -3, 0 Let m(h) be the first derivative of -h**3/9 - 10*h**2/3 - 17*h + 848. Factor m(t). -(t + 3)*(t + 17)/3 Let l(j) be the second derivative of -4*j + 0*j**2 - 5/12*j**4 + 0*j**3 - 1/4*j**5 + 0. Factor l(n). -5*n**2*(n + 1) Let r be 2/(6 - 4) - -4. Suppose 2*t - 4*h - 54 = -0*h, -3*t + r*h + 78 = 0. What is a in 15*a**3 - 26*a**2 + t*a**3 - 16*a**4 + 2*a**2 + 4*a = 0? 0, 1/4, 1 Suppose -5*s + 41 = 2*q, 5*s - 38 - 15 = 4*q. Factor s*g - 29 - g**3 - 9*g**2 - 31 + 58 + 3*g**4. (g - 1)**2*(g + 2)*(3*g - 1) Let i(j) be the first derivative of 5*j**4/4 - 25*j**3 + 120*j**2 + 320*j + 162. Find q, given that i(q) = 0. -1, 8 Let y = -18/35 + 58/35. Let 22*h**4 + 64/7*h + 34/7*h**3 - 14*h**5 - 146/7*h**2 - y = 0. Calculate h. -1, 2/7, 1 Let s(k) be the third derivative of -k**8/28 + 2*k**7/105 + k**6/2 - k**5/3 - 2*k**4 + 8*k**3/3 - 2*k**2 - 20*k. Find c such that s(c) = 0. -2, -1, 1/3, 1, 2 Factor 20*h**4 + 1209*h**2 - 4*h**4 - 632*h + 0*h**4 + 136*h - 1028*h**3 + 1031*h**2. 4*h*(h - 62)*(h - 2)*(4*h - 1) Let p be (-1 - -1)/(-5 - -3). Suppose -2*c - 5*h + p = 4, 5*c + 2*h - 11 = 0. Determine j, given that -2 - 16*j - 147*j**c + 4*j + 84*j**2 + 2 = 0. 0, 2/7 Let d(s) be the third derivative of s**5/15 + 25*s**4/6 + 92*s**3/3 + 59*s**2 - 2*s. Factor d(w). 4*(w + 2)*(w + 23) Factor 4 + 2*d**4 + 4*d**3 - 9 - 6*d**2 + 5. 2*d**2*(d - 1)*(d + 3) Let c(h) be the first derivative of 2/55*h**5 - 4 - 1/11*h**2 + 2/11*h**3 - 3/22*h**4 + 0*h. Factor c(b). 2*b*(b - 1)**3/11 Let p(g) = 5*g**3 - 38*g**2 - 144*g - 8. Let l(c) = -42*c**3 + 303*c**2 + 1152*c + 66. Let a(x) = 4*l(x) + 33*p(x). Find t such that a(t) = 0. -8, -6, 0 Let m be 3 + (0 - 104/(-12)) + 0. Let l = -11 + m. Solve 1/3*h**3 - l*h**4 - 1/3*h + 0 + 2/3*h**2 = 0. -1, 0, 1/2, 1 Let i = 83 + -79. What is y in -y**4 - i*y**3 - 5 + 11 - 6 + 6*y - y**2 = 0? -3, -2, 0, 1 Suppose 27 = -5*u - m - 25, -3*m = 3*u + 24. Let w = 14 + u. Factor -226*q**2 - 6 - w*q**3 + 9*q + 226*q**2. -3*(q - 1)**2*(q + 2) Let f(y) be the second derivative of 16*y + 0 - 7/18*y**3 - 1/3*y**2 + 5/12*y**4. Factor f(p). (3*p - 2)*(5*p + 1)/3 Suppose 0 = -55*o + 8*o. Let a(r) be the second derivative of 0*r*
{ "pile_set_name": "DM Mathematics" }
6973990 divided by 1394798? 5 What is 113365 divided by -7? -16195 Divide 1453900 by -2077. -700 Divide 550493 by -6. -550493/6 Calculate -22 divided by -3456. 11/1728 5 divided by -17230 -1/3446 Divide 47617 by 42. 47617/42 What is 699744 divided by 87468? 8 Divide 5 by 81287. 5/81287 Divide 717885 by -5. -143577 What is 6 divided by -145860? -1/24310 888 divided by 31 888/31 -7950 divided by 1325 -6 Divide 48615 by -463. -105 What is -191895 divided by 31? -191895/31 -101 divided by -257 101/257 Calculate 190350 divided by 94. 2025 Calculate -58 divided by -8674. 29/4337 What is 6797010 divided by -5? -1359402 -37856 divided by -9464 4 Divide -42427 by 7. -6061 -2 divided by 280207 -2/280207 Divide -31580 by -5. 6316 What is -176960 divided by 1264? -140 Divide -2945472 by -5568. 529 What is 0 divided by -11755? 0 What is 93 divided by -338? -93/338 Calculate -16 divided by -2192. 1/137 Calculate -54210 divided by 6. -9035 457026 divided by -6 -76171 -2826629 divided by -2111 1339 Divide -182077 by 9. -182077/9 What is 706813 divided by -389? -1817 What is -3823893 divided by -1? 3823893 Divide 0 by 160656. 0 What is -3695 divided by -39? 3695/39 What is 406781 divided by -6? -406781/6 Divide -1526526 by -27. 56538 Divide 33696648 by -6. -5616108 Calculate -377282 divided by 2. -188641 237 divided by 50 237/50 What is -7283 divided by 90? -7283/90 Divide -1502436 by 156. -9631 What is -243250 divided by -4? 121625/2 What is 177958 divided by 177958? 1 What is -2999 divided by 64? -2999/64 -75 divided by -15225 1/203 78108 divided by -2 -39054 Divide 28745 by -3. -28745/3 What is 1466 divided by 693? 1466/693 180538 divided by 3 180538/3 0 divided by -8746 0 -63685 divided by 4 -63685/4 -2127456 divided by 1068 -1992 Divide -2 by -498. 1/249 What is -2083158 divided by -63126? 33 Calculate 8712 divided by -72. -121 847584 divided by -6 -141264 Calculate 1092432 divided by 273108. 4 Divide 41168 by 496. 83 Divide 236016 by -36. -6556 -189833 divided by 5 -189833/5 What is 1735 divided by -5? -347 Divide -2 by 23386. -1/11693 -57222 divided by -1 57222 What is -60467 divided by -60467? 1 Divide 331947 by 4311. 77 Divide -15 by -64603. 15/64603 Divide 5 by 19474. 5/19474 -8946 divided by 2982 -3 What is 7 divided by -174771? -7/174771 Calculate 15876 divided by 4. 3969 What is 4676958 divided by 59202? 79 Divide -50600 by -115. 440 What is 19992 divided by 51? 392 What is 0 divided by 251622? 0 What is -1 divided by -11733? 1/11733 Calculate -334665 divided by -201. 1665 What is -1287 divided by -821? 1287/821 Divide 1144 by 14. 572/7 -124884 divided by -36 3469 Divide -249163 by 2. -249163/2 Calculate -15 divided by 1423. -15/1423 Calculate 3129825 divided by 145. 21585 Divide 152881 by 17. 8993 28996 divided by -7249 -4 Calculate -70697 divided by -6. 70697/6 -20665 divided by 91 -20665/91 Calculate 139752 divided by -36. -3882 Calculate 2248 divided by -13. -2248/13 What is -49001 divided by 3? -49001/3 Calculate 7256 divided by 3628. 2 Calculate 7706 divided by -7706. -1 -11220 divided by 110 -102 1807350 divided by -301225 -6 Divide -42 by 315. -2/15 What is -5412869 divided by -1? 5412869 Calculate 451 divided by 1160. 451/1160 54108 divided by 1 54108 What is 20973 divided by 3? 6991 What is 701740 divided by -175435? -4 7 divided by 5425 1/775 Calculate -9 divided by -18424. 9/18424 What is -10940 divided by -4? 2735 -1130 divided by 24 -565/12 Divide 380452 by 1. 380452 Divide 47 by -17. -47/17 What is 8203 divided by 168? 8203/168 22602 divided by -1 -22602 Calculate 24240 divided by 8080. 3 Calculate -91922 divided by 45961. -2 306576 divided by -18 -17032 What is -740124 divided by -4158? 178 Divide 36098 by 14. 18049/7 -88260 divided by 2 -44130 Divide -108170 by -2. 54085 What is 0 divided by -1699? 0 -11903 divided by -7 11903/7 Divide -588330 by -2179. 270 Calculate -336358 divided by -15289. 22 What is -7101639 divided by 3? -2367213 Calculate 2 divided by 100734. 1/50367 Calculate 1 divided by -46057. -1/46057 -3157854 divided by -934 3381 35953 divided by -7 -35953/7 What is 22 divided by -14892? -11/7446 Divide 658252 by -658252. -1 Divide 308523 by 2. 308523/2 -15 divided by 10749 -5/3583 What is -19 divided by -66677? 19/66677 Calculate -32706 divided by 474. -69 Calculate -722928 divided by 90366. -8 Divide 343476 by -174. -1974 -2 divided by 358276 -1/179138 Calculate 234546 divided by 6. 39091 Calculate 1 divided by -4135. -1/4135 What is -171231 divided by -3? 57077 What is -219936 divided by -3? 73312 Divide -911013 by 303671. -3 Calculate -4 divided by -18961. 4/18961 -175 divided by -456 175/456 129524 divided by -32381 -4 Divide -22 by -28036. 11/14018 What is -166306 divided by 83153? -2 -1492194 divided by 6 -248699 Divide 11432 by 5716. 2 -2184 divided by -39 56 Calculate -272646 divided by -243. 1122 Calculate -18 divided by -73454. 9/36727 -4 divided by -3628 1/907 What is -101026 divided by -50513? 2 -10 divided by 4186 -5/2093 What is 0 divided by -7552? 0 What is 381724 divided by -95431? -4 What is 1079892 divided by -606? -1782 Divide -5131 by 7. -733 What is 3 divided by -17653? -3/17653 Calculate -895102 divided by 199. -4498 Calculate -297592 divided by 5. -297592/5 1629524 divided by 407381 4 Divide 7 by 107093. 1/15299 Divide 37460 by -4. -9365 Calculate -296908 divided by -199. 1492 53295 divided by -3 -17765 What is 339900 divided by 2060? 165 Calculate -2044855 divided by -408971. 5 What is 4 divided by -12445? -4/12445 Divide 6872 by -4. -1718 Divide -15075 by 603. -25 Calculate 20 divided by -1948. -5/487 What is 33218 divided by 2? 16609 What is -1547720 divided by -5? 309544 Divide 2 by -16081. -2/16081 50 divided by 35029 50/35029 Calculate -2301850 divided by 46037. -50 Divide -4034135 by -5. 806827 Calculate 1 divided by -21408. -1/21408 -40186 divided by 20093 -2 Calculate -23 divided by 636. -23/636 Divide -24435 by 45. -543 What is 25460 divided by -19? -1340 Divide 11 by -1041. -11/1041 What is 276 divided by -125? -276/125 Calculate -11686 divided by 1. -11686 Divide -18774 by -5. 18774/5 Divide 54045 by -9. -6005 4073 divided by -1 -4073 Calculate 12986 divided by -20. -6493/10 What is 5 divided by -339345? -1/67869 Calculate 9 divided by -9006. -3/3002 What is -279075 divided by -93025? 3 Divide 45949 by -45949. -1 Divide -1766991 by 149. -11859 Divide 192048 by 1. 192048 Calculate 114 divided by -8761. -114/8761 Divide 78673 by -5. -78673/5 Divide -835200 by 3600. -232 Calculate -4 divided by 59844. -1/14961 Divide -797500 by 14500. -55 -173616 divided by -2 86808 -134082 divided by 67041 -2 What is 104412 divided by 26103? 4 Calculate 2 divided by -61088. -1/30544 Calculate -664 divided by 163. -664/163 -492945 divided by -492945 1 Calculate -428082 divided by -71347. 6 -70 divided by -17 70/17 What is -568662 divided by -6? 94777 Calculate -136387 divided by 4703. -29 What is 59411 divided by -1? -59411 Calculate 5 divided by -191104. -5/191104 Calculate 38250 divided by 9. 4250 -95413 divided by 1 -95413 What is 58816 divided by -16? -3676 Calculate 2 divided by -7709. -2/7709 What is -7736 divided by 31? -7736/31 Divide -3 by 92707. -3/92707 What is 7508 divided by 3? 7508/3 Calculate -504840 divided by -6. 84140 Calculate 85637 divided by 85637. 1 -1272423 divided by 591 -2153 What is -81425 divided by 25? -3257 What is -348660 divided by 18? -19370 Divide 4 by 11729. 4/11729 Divide 926 by 1042. 463/521 What is -33714 divided by -2? 16857 1677 divided by -23 -1677/23 -3 divided by -995555 3/995555 Calculate -3 divided by 12564. -1/4188 Divide -1788 by 894. -2 -13417 divided by -8 13417/8 Divide -3338630 by 410. -8143 Calculate 155366 divided by -5. -155366/5 What is 4 divided by 113355? 4/113355 What is -216143 divided by -5? 216143/5 Calculate 20742 divided by 10371. 2 What is 108880 divided by 2722? 40 Divide -27654 by 2514. -11 Calculate -599 divided by 123. -599/123 5961953 divided by -3401 -1753 What is -333525 divided by -4447? 75 What is 22 divided by 7216? 1/328 Calculate -2506 divided by -2506. 1 24583 divided by 24583 1 Divide 11940 by -11940. -1 Calculate -224 divided by 1. -224 What is -20976 divided by -3? 6992 Calculate 1 divided by 21443. 1/21443 3 divided by
{ "pile_set_name": "DM Mathematics" }
t + 124 = -3*m + 146 for m. 4 Solve 280*y - 277*y + 31 = -5*t, -16*t = -4*y + 4 for y. -7 Solve -5*i - 2*y + 8 = 0, 14*i + 5*y = -228 + 254 for i. 4 Solve 0 = -3*v - 2*v, 0 = -5*o + 72*v - 68*v for o. 0 Solve 4*d - 84 = 3*c - 77, -d = 5*c - 6*d + 15 for c. -5 Solve 2*i + 9 = 3*k, -477 = -5*k - 4*i - 440 for k. 5 Solve -3*i = 12, 2*c + 12 + 8 = -5*i for c. 0 Solve 377*r - 373*r = -5*c + 2, -11*c = r + 19 for c. -2 Solve -21 = 2*h - 3*d, -2*d = 847*h - 848*h - 13 for h. -3 Solve -20 = -5*h - 6405*p + 6408*p, 9 = -h - 2*p for h. 1 Solve -a - 7*w + 2*w + 25 = 0, -3*a + 5 = w for a. 0 Solve -1675*l + 1677*l - 4*n = -14, 4*l - 11 = -5*n for l. -1 Solve i - 65417 = -3*h - 65487, -5*h - 112 = -3*i for i. -1 Solve 0 = 23*v - 19*v - 4, -102 = -5*k - 0*k - 2*v for k. 20 Solve 327*l - 4*n + 28 = 323*l, n = -2*l + 4 for l. -1 Solve -2*d - 2150 + 2168 = -4*v, -2*d - 2*v = -6 for d. 5 Solve 2*c - 38 = 27*r - 31*r, -2*c = -6*r - 48 for c. 21 Solve -2*u + 1 = -3*k, -377*u + 379*u - k = -5 for u. -4 Solve 7 = 4*s + 3*w, -286 + 34 = -60*s + 4*w for s. 4 Solve 0 = -2*u - 5*x + 42, 0 = -3*u - 13*x + 8*x + 43 for u. 1 Solve 0*q + 0 = -q + h + 3, 5*q - 4*h - 14 = 0 for q. 2 Solve -3*x + 0*q + 3*q - 33 = 0, -31 = x - 5*q for x. -6 Solve -g = 2*i - 4, 2*i - 7*i + 10 = 709*g - 712*g for i. 2 Solve 0 = 5*c - 3*r + 10, 28 = 3*c - 135*r + 140*r for c. 1 Solve -5*t - 5*i = -5, 32 = 14*t - 275*i + 280*i for t. 3 Solve 4*c - 58*l = -42 + 340, c + 3*l + 13 = 0 for c. 2 Solve c - 73 - 15 = 5*v, -5*v = 5*c + 70 for c. 3 Solve -4*f = 5*p, -f + p - 331 = 3*f - 307 for f. -5 Solve 0 = -3*a - 5*s + 1, 13*a + 6 = 11*a - 5*s for a. 7 Solve 3*s + 2*t = 15, 3*t + 25849 - 25819 = 3*s for s. 7 Solve -y + 74*t - 374 = 0, -277*y - 37 = -274*y - 5*t for y. -4 Solve -17 = -2*r - 5*k, 52*r + 15 = 64*r + k for r. 1 Solve s + 2 = 7, -i + 4*s = -6*s + 38 for i. 12 Solve -58*k + 57*k - 2 = 4*m, 0 = -17*m + 5*k - 27 for m. -1 Solve -97*u = -98*u + 1, -d - 5*u = -4 for d. -1 Solve -3*f = -s + 2, -3630*s + 3628*s - 5*f + 15 = 0 for s. 5 Solve -w = x - 2, 18*w + 2*x - 79 = 21 for w. 6 Solve -3*h + 21 = -5*k, 30 - 52 = 4*k - 5*h for k. -3 Solve 25 = -5*h + 5*p, -7*h - 4*p - 112 + 99 = 0 for h. -3 Solve -j = -3, 650*u + j = 654*u - 29 for u. 8 Solve h - 24 = 184*z - 190*z, -2*z + 2*h - 6 = 0 for z. 3 Solve 3*x - 4*w = -38494 + 38495, 0*x + 32 = -4*x - 3*w for x. -5 Solve 5*s + 11 = -3*m, -74*m - 3*s + s = -72*m + 2 for m. 3 Solve 6 = 2*f, 12*x + 3*f - 1578 + 1581 = 0 for x. -1 Solve -137*u - 25 = -132*u + 5*b, u = 3*b + 7 for u. -2 Solve -7*o - 4*u + 10 = 0, -28 = -5*o + 3*u - 56 for o. -2 Solve -332*i = -336*i + 4, -2*i + 18 = -4*p for p. -4 Solve q + 67*t + 3 = -0*q + 62*t + 1, 0 = -4*t for q. -2 Solve 4*v = -823*d + 818*d + 1, v + 4*d - 3 = 0 for v. -1 Solve 3*u - 14 = -3*h + 1, -25 = -5*u + h for u. 5 Solve 5*t + 19 = y + 34, 0 = -2*t + y + 9 for t. 2 Solve -3*q + 2 + 16 = 0, 1911 - 1737 = -3*t + 28*q for t. -2 Solve -2*m - 28 = -2*i - 22, i - 15 = -5*m for i. 5 Solve -p = 5, -11*p = -286*h + 284*h + 73 for h. 9 Solve 20 = 4*h + 4*g, -7*h = 86029*g - 86028*g - 23 for h. 3 Solve 593*h - 20 = 3*x + 592*h, 14*x + 88 = 2*h for x. -6 Solve -3*n - 602 = 2*a - 565, 7*a - n - 20 = 0 for a. 1 Solve 437 = -2*d + 3*x + 413, -d - 14*x + 81 = 0 for d. -3 Solve -2218*z - 3*n = -2215*z - 21, -4*n - 4 = -4*z for z. 4 Solve 10 = 2*x + 4*k, 14*k - 25 = -5*x + 10*k for x. 5 Solve -4*w - n = -8*w, 47*n = 5*w - w + 45*n for w. 0 Solve 3*c - 2*q + 16 = 0, 29117*c - 2 = 29115*c - 5*q for c. -4 Solve -r + 6 = -5*c, -22*c = -r - 19*c + 2 for r. -4 Solve 5*c = -4*r + 53, 109*r - 105*r + 19 = 3*c for r. 2 Solve -13*a + 17*a + 4*h = -40, -a + 3*h + 6 = 0 for a. -6 Solve 0 = -9*v + x - 95, -25 = 2*v + 24*x - 25*x for v. -10 Solve 0 = -6*j + 4*a + 26, -3*j - 46*a + 49*a = -21 for j. -1 Solve 362*t - 365*t + 12 = 0, 0 = m - 3*t + 13 for m. -1 Solve 0 = 3*b + 5*l + 25, -83*b + 87*b + 20 = -4*l for b. 0 Solve 0 = -4*n + a + 9, -1439*a + 10 = 4*n - 1441*a for n. 2 Solve -4*q + 4*v + 12 = 0, q + 3909*v + 39 = 3904*v for q. -4 Solve -d - 5*m - 21 = 0, 17*m + 65 = -246*d + 249*d for d. -1 Solve 4*x + 28 = -3*v, 3*x + 3*v = 5*v - 4 for x. -4 Solve -2*w + 14*d - 9 = 9*d, -2*w - 6 = -4*d for w. 3 Solve 4*k = 4*w + 2149 - 2129, w + 4*k = -5 for w. -5 Solve -5*d + 21 = 223*v - 225*v, 29 = 5*d + 2*v for d. 5 Solve -20*g + 3*d = -21*g + 1, 5*g = -2*d - 60 for g. -14 Solve -x = -5*y - 2, 13*y - 12*y + 4*x + 13 = 0 for y. -1 Solve -3*s - 4*x - 5 = 0, x - 30 = -309*s + 302*s for s. 5 Solve -80 = -9*u - 5*t, u - 47171*t + 47174*t - 4 = 0 for u. 10 Solve -7*t + 66625*b - 66623*b - 39 = -2, -2*t = 5*b + 5 for t. -5 Solve v + 4*q = -24, 2*q - 431 + 521 = -7*v for v. -12 Solve d - 3*m = -28 + 23, -3*d - 15 = -m for d. -5 Solve -5*a = -5*n - 25, -7*a + 8*a - 4*n = 5 for a. 5 Solve -4*d - l = -902 + 890, -2*d = -l - 12 for d. 4 Solve -2*o = 4*c - 8, 5*c - 1765*o = -1766*o + 7 for c. 1 Solve -5*r - 2*x = -17, -53 + 44 = -4*r + 3*x for r. 3 Solve 4*x = 5*t - 20, -t + 71*x = 59*x - 116 for t. -4 Solve 0 = 939*y - 940*y + 6*i + 105, -2*y = 2*i + 42 for y. -3 Solve 367*q - 5 = -5*d + 372*q, 4*d - 10 = -2*q for d. 2 Solve 111*h = 106*h - 3*y + 4, 4*h + 2*y = 0 for h. -4 Solve 0 = -3*n + 5*c + 7, -54*n - 2*c + 6 = -53*n for n. 4 Solve -42*x + 6 = 2*p - 45*x, 10*p - 30 = 5*x for p. 3 Solve -w - 9*g - 8 = -10*g, 2*w = 4*g - 18 for w. -7 Solve -n + 3*c - 167 = -148, -4*c = -20 for n. -4 Solve 3*r + 811 = -o + 816, 2 = 2*o + 2*r for o. -1 Solve -12 = -5*v - 4*d, -5*v = 5*d - 2 - 13 for v. 0 Solve 654*f + 4*t + 123 = 699*f, 0 = 3*t - 9 for f. 3 Solve 0 = -3*r - 4*i + 3, 55 - 42 = 2*r - i for r. 5 Solve 2*s + 3*n + 12 = 0, 5887 - 5903 = 2*s + 2*n for s. -12 Solve -12 - 3 = -5*r + 4*s, 7*s = 3*r - 9 for r. 3 Solve 2*t - 1 = -3*q - 4 + 4, -82 = 24*q - 10 for t. 5 Solve -2*c + 217*s + 10 = 218*s, -2*c + 3*s + 2 = 0 for c. 4 Solve -3*w - 11 = s, s + 81 = 16*w + 146 for s. 1 Solve 4*c - 14 = 3*y, -5*c = 130*y - 126*y - 33 for y. 2 Solve -2*d - 6*h = 16, 5*d + 36 = -10*h + 12*h + 13 for d. -5 Solve 2*n + 3 = y, 239*n - 87 = -3*y + 219*n for y. 9 Solve 5*m + 2*y - 22 - 7 = 0, m + 2*y = 9 for m. 5 Solve 0 = 4*z + a - 13, 18 = 5*z - 61*a + 64*a for z. 3 Solve -134*t - 2*v - 3 = -133*t, 0 = -2*t - 2*v - 8 for t. -5 Solve -3*f = u - 14, -73*u + 75*u - f - 7 = 0 for u. 5 Solve -n + 2083 - 2081 = -9*h, 10 = -5*h + 5*n for h. 0 Solve 3*l + 25 = 4*q, 697*l - 5*q + 8 = 701*l for l. -3 Solve 4*k = -15*b + 75, -2*k - 66 = -b - 61 for k. 0 Solve -4 = -2*u - 4*g, -15*g - 16 = -2*u - 16*g for u. 10 Solve -2*j + 26 = 34*x - 30*x, -5*j + 41 = -2*x for x. 2 Solve 0 = -c - 2*i - 18, -3*i + 7 = 22 for c. -8 Solve -2*s + 4*g = 4, 149*g - 153*g - 8 = s for s. -4 Solve 0 = 5*w - 4*p - 39, 0 = -w + 20*p - 16*p + 11 for w. 7 Solve -4*h - 31*p - 74 = 0, 197*h - 192*h + 25 = -5*p for h. -3 Solve 2*w - 3*f = 0, 5*w = -12*f + 6*f + 5*f for w. 0 Solve 0 = k + 8*s + 7 + 37, -5*s = -5*k + 5 for k. -4 Solve -5*k + 3*b = 32, 828*k - 826*k + 19 = -5*b for k. -7 Solve -49*c + 48*c = 5*d + 21, -3*c - 3 = 0 for d. -4 Solve 30*u - 2*o + 84 = 0, -272*o + 270*o - 18 = 4*u for u. -3 Solve 17 = 3*b - 4*i, 0 = -4*b - 5*i + 840 - 807 for b. 7 Solve -x - 6481 = 3*i - 6486, -1 = 2*x - 5*i for x. 2 Solve 7*k = 616*s - 618*s + 124, 0 = -s - 2*k + 35 for s. -1 Solve -84*s + 86*s = 16, 2*d = 3*s - 24 for d. 0 Solve -24*a - 2*k = -132, -3*a + 34 - 43 = -4*k for a. 5 Solve -4*r + 24 = -h, r + 30 = 5*h + 36 for r. 6 Solve -v - 25*n + 149 = 0, 85*v = 90*v + 5*n - 25 for v. -1 Solve -4*v - 127 = -11*h, -h + 16 - 3 = 0 for v. 4 Solve 23*n - 4 = 22*n, 0 = v - 4*n + 18 for v. -2 Solve -a = 3*f - 31 + 85, 4*a - 5*f - 73 = 0 for a. -3 Solve -105*i + 101*i + m = 8, 6*m = -5*i - 10 for i. -2 Solve 2*r + 170*b = 167*b - 24, -r - 5*b = 26 for r. -6 Solve -5*m + 4*w - 18 = 0, -12 = -4*w - 2 - 2 for m. -2 Solve 5*l = 4*f + 1460 - 1367, 8*l + 28 = -4*f for f. -17 Solve 5*b - 989*x = -994*x - 15, -2*b = -7*x - 30 for b. 1 Solve 3*g = -188*d + 192*d - 23, -3*g = 5*d + 5 for d. 2 Solve -4*v - 7 = -5*p + 30, -7 = 9*v + 4*p for v. -3 Solve 0 = 2*f - 3*s + 13, -14871*s + 14869*s + 8 = -f for f. -2 Solve 4*p - 68*d + 71*d + 2 = 0, 0 = 4*p + 5*d + 6 for p. 1 Solve -50 = -118*v + 114*v - 38*c, 4*v = 5*c + 7 for v. 3 Solve -3*y - 52 = -5*k,
{ "pile_set_name": "DM Mathematics" }
-6). Factor z - 8/5*g**i + 3/5*g**4 + 2/5*g + 3/5*g**2. g*(g - 2)*(g - 1)*(3*g + 1)/5 Let v(u) = -u**3 - 3*u**2 + 13*u + 40. Let w be v(-4). Solve 4/3*c + c**2 - 4/3 - 4/3*c**3 + 1/3*c**w = 0. -1, 1, 2 Let h(k) be the third derivative of -k**7/420 + k**6/120 + k**5/10 - 5*k**4/6 + 8*k**3/3 + 2*k**2 + 360*k. Let h(b) = 0. What is b? -4, 2 Let n be 3*3/(-90) + 3/30. Factor 0*t**2 + 0*t + n*t**3 - 1/4*t**5 + 0 - 1/2*t**4. -t**4*(t + 2)/4 Solve -2/3*a**3 - 4/3*a**2 - 1/9*a**4 - 10/9*a - 1/3 = 0. -3, -1 Let n(c) = 6*c**2 + 4*c. Let z(i) be the second derivative of 5/6*i**3 + 7/12*i**4 + 0 - i + 0*i**2. Let k(m) = -6*n(m) + 5*z(m). Suppose k(y) = 0. Calculate y. 0, 1 Let v(n) be the first derivative of -3*n**4/4 + 16*n**3/3 - 25*n**2/2 + 12*n - 103. Solve v(s) = 0. 1, 4/3, 3 Let v(l) = -2*l**2 - 85*l - 115. Let c be v(-41). Let y(w) be the first derivative of 0*w**3 + 2*w**6 - 28/15*w**5 + 0*w**2 - c + 0*w - 2/3*w**4. Factor y(q). 4*q**3*(q - 1)*(9*q + 2)/3 Let t(v) = -2*v**3 + 36*v**2 - 62*v + 32. Let c(u) = -4*u**3 + 73*u**2 - 124*u + 65. Let r(w) = 2*c(w) - 5*t(w). Find b, given that r(b) = 0. 1, 15 Factor -27*c**3 - 9*c + 32*c**3 - 11*c. 5*c*(c - 2)*(c + 2) Let x(s) = 52*s**3 - 32*s**2 + 16*s + 12. Let d(f) = 2*f**3 - f**2 + 2*f + 1. Let t(i) = -12*d(i) + x(i). Let t(a) = 0. What is a? -2/7, 0, 1 Let y(s) be the third derivative of 0*s + 51*s**2 + 0*s**4 + 1/1176*s**8 + 0*s**3 - 4/735*s**7 + 1/140*s**6 + 0 + 0*s**5. Find h, given that y(h) = 0. 0, 1, 3 Let i = 79/2 - 118/3. Factor 1/6*p + 1/6 - i*p**3 - 1/6*p**2. -(p - 1)*(p + 1)**2/6 Factor 12 + 177*o**2 + 63*o**2 + 98*o**2 - 156*o + 6. 2*(13*o - 3)**2 Suppose -g + 5*r = -19, -2 = 5*g + 5*r - 7. Suppose g*k + k = 15. Factor -15*z**2 + 0*z**3 + 10 + 6 - 4*z**3 + k*z**2. -4*(z - 1)*(z + 2)**2 Let b(s) be the second derivative of -1/30*s**5 + 0*s**4 + 0*s**2 + 0*s**3 + s + 0 - 1/135*s**6. Factor b(f). -2*f**3*(f + 3)/9 Suppose 0 = 58*k - 206 + 32. Let z(t) be the first derivative of k + 488*t**3 + 125/2*t**6 + 216*t**2 + 48*t + 315*t**5 + 570*t**4. Factor z(d). 3*(d + 1)*(d + 2)*(5*d + 2)**3 Let u(j) be the first derivative of 0*j + 2/15*j**3 - 1/10*j**4 + 2/75*j**5 - 1/15*j**2 + 4. What is m in u(m) = 0? 0, 1 Suppose -13 = -2*r + 39. Solve 4*u**2 - 1 - 2*u**2 - 26*u**4 - r*u**4 + 51*u**4 = 0. -1, 1 Let p(c) be the second derivative of -c**6/30 - c**5/5 + c**4/6 + 2*c**3 - 9*c**2/2 + 214*c. Factor p(h). -(h - 1)**2*(h + 3)**2 Let l be 360/(-75)*(-5)/2. Let n(z) = z**3 - z**2 + z + 1. Let i(d) = 10*d**3 - 4*d**2 + 2*d + 16. Let p(k) = l*n(k) - i(k). Suppose p(h) = 0. Calculate h. 1, 2 Let m(v) be the first derivative of -v**4/16 - 5*v**3/4 - 47*v**2/8 - 33*v/4 + 294. Solve m(u) = 0 for u. -11, -3, -1 Let g = -1/6 - -1/3. Let h(b) be the third derivative of 7/120*b**5 - 7/48*b**4 + g*b**3 - 8*b**2 + 0 - 1/120*b**6 + 0*b. Let h(v) = 0. Calculate v. 1/2, 1, 2 Let f = 37 + -27. Suppose f*s**3 + 9*s + 3*s - 3*s**4 + 5*s**3 - 3*s - 21*s**2 = 0. What is s? 0, 1, 3 Let k(x) be the first derivative of 12*x**5/5 + 26*x**4 + 149*x**3/3 + 32*x**2 + 7*x - 155. Solve k(h) = 0. -7, -1, -1/2, -1/6 Let r(k) be the second derivative of k**6/150 - 2*k**5/25 + 11*k**4/30 - 4*k**3/5 + 9*k**2/10 + 361*k. Determine m, given that r(m) = 0. 1, 3 Let z(b) = 769*b + 2. Let x be z(0). Find h such that 324*h**x - 75*h**4 - 210*h**3 + 96/5 - 696/5*h = 0. -4, 2/5 Let r(u) be the second derivative of -10*u**7/21 - 62*u**6/15 - 66*u**5/5 - 52*u**4/3 - 16*u**3/3 - 2*u + 118. Factor r(p). -4*p*(p + 2)**3*(5*p + 1) Let n be 56/84*(-27)/(-6). Let l(w) be the first derivative of n - w**2 + 4/3*w + 2/9*w**3. Let l(i) = 0. Calculate i. 1, 2 Suppose 2*j = -0*j + 6. What is h in 13*h - 27*h**2 + 2*h - j + 2*h + h = 0? 1/3 Let u(k) = k**3 + 13*k**2 + 84*k + 132. Let z be u(-2). Factor z*f**2 - 19/2*f + 2*f**3 + 5/2. (f + 5)*(2*f - 1)**2/2 Let r(c) = 6*c + 9. Let l be r(7). Let h(q) = 3*q**2 - 2*q + 1. Let f(y) = 25*y**2 - 17*y + 9. Let n(i) = l*h(i) - 6*f(i). Factor n(m). 3*(m - 1)*(m + 1) Let m = 103 - 36. Factor m*g**2 + 2*g + 3*g**3 + g**3 - 36*g**2 - 38*g**2 + 1. (g - 1)**2*(4*g + 1) Suppose -9*j + j + 16 = 0. Let u be (-88)/(-90) - (80/(-36) + j). Solve -3/5*b + u - 3/5*b**2 = 0 for b. -2, 1 Let x = 245 + -1224/5. Let p(c) be the second derivative of 1/3*c**3 - x*c**5 + 0 - 5*c + 0*c**4 + 0*c**6 + 0*c**2 + 1/21*c**7. Solve p(g) = 0 for g. -1, 0, 1 Let p(w) be the third derivative of w**7/735 - 11*w**6/210 + 37*w**5/210 + 5*w**4/7 - 861*w**2. Solve p(k) = 0. -1, 0, 3, 20 Let i(j) be the third derivative of j**5/90 + 13*j**4/36 - 10*j**3/3 + 97*j**2. Factor i(z). 2*(z - 2)*(z + 15)/3 Let n(d) be the third derivative of -d**8/1680 - d**7/105 - d**6/40 + d**5/30 + 2*d**4/15 - 7*d**2. Solve n(f) = 0. -8, -2, -1, 0, 1 Let o be (38/(-4))/((-1)/2). Let x be (6/2 - -2) + o/(-4). Suppose 0*u**2 - x*u + 1/4*u**3 + 0 = 0. Calculate u. -1, 0, 1 Let k(f) be the first derivative of 8*f**3/3 + 7*f**2/2 + 2. Let p be (-175)/10*(-16)/(-10). Let s(a) = a**2 + a. Let q(u) = p*s(u) + 4*k(u). Factor q(n). 4*n**2 Let r(l) = 4*l**3 - 27*l**2 + 68*l - 40. Let k(z) = -6*z**3 + 40*z**2 - 102*z + 60. Let x(f) = -5*k(f) - 8*r(f). Factor x(g). -2*(g - 5)*(g - 2)*(g - 1) Let h(q) be the first derivative of -q**4/20 + 19*q**3/15 - 119*q**2/10 + 49*q - 251. Factor h(a). -(a - 7)**2*(a - 5)/5 Let f = 938 + -57220/61. Let q = f + 616/183. Solve 0 - 8/15*o - 56/15*o**2 - q*o**5 - 46/5*o**3 - 28/3*o**4 = 0. -1, -2/5, 0 Let y be (12/75)/(24 + 358/(-15)). Factor -y + 7/5*l - 1/5*l**2. -(l - 6)*(l - 1)/5 Let p(i) be the first derivative of -i**6/9 + 44*i**5/15 - 44*i**4/3 + 28*i**3/3 + 51*i**2 + 412. Determine l so that p(l) = 0. -1, 0, 3, 17 Let d(v) = -v**2 + 10*v - 16. Let q be d(7). Factor 14*a**2 - 8*a - 3*a**3 - 29*a**2 - 9 - q*a - 8*a. -3*(a + 1)**2*(a + 3) Find v, given that 585 + 35*v**2 - 621 - 16*v**4 + 17*v**2 + 276*v**3 - 148*v - 128*v**5 = 0. -1, -1/4, 1, 9/8 Let j(z) be the second derivative of 1/10*z**6 - 7*z + 0 - 3/28*z**7 + 3/10*z**5 - 1/4*z**3 + 0*z**2 - 1/4*z**4. Determine a so that j(a) = 0. -1, -1/3, 0, 1 Let i(s) be the first derivative of -11*s**4/20 - 59*s**3/5 - 8*s**2/5 + 171. What is l in i(l) = 0? -16, -1/11, 0 Let i(c) be the second derivative of 72*c**3 + 0 + 18*c + 162*c**2 + 18*c**4 + 2/15*c**6 + 12/5*c**5. Let i(x) = 0. Calculate x. -3 Suppose -3*p - 8 = -5*p, -2*p = -4*b. Solve -50 + d + 4*d + 46 - d**b = 0. 1, 4 Let u(t) = -9*t**3 - 55*t**2 + 14*t + 230. Let x(h) = 147*h**3 + 879*h**2 - 225*h - 3681. Let m(v) = -33*u(v) - 2*x(v). Factor m(z). 3*(z - 2)*(z + 2)*(z + 19) Let y(d) be the second derivative of d**8/504 - d**7/315 - d**6/180 + d**5/90 - 19*d**2/2 - 9*d. Let o(t) be the first derivative of y(t). Factor o(l). 2*l**2*(l - 1)**2*(l + 1)/3 Let m be (-160)/(-200) + (-4)/5. Let t(n) be the third derivative of 1/150*n**5 + 0*n**4 + m + 0*n - 1/300*n**6 + 0*n**3 + n**2. Factor t(q). -2*q**2*(q - 1)/5 Let m = 1091/264 - 45/11. Let q(w) be the first derivative of 5 + 3/16*w**4 + m*w**6 + 0*w - 1/12*w**3 - 3/20*w**5 + 0*w**2. Let q(l) = 0. Calculate l. 0, 1 Let a(d) be the first derivative of 4/3*d**3 + 1/4*d**4 + 0*d + 3/2*d**2 + 8. Factor a(y). y*(y + 1)*(y + 3) Suppose -4*q = 6*q - 80. Suppose -23 = -q*b - 7. Factor -2/9*o + 0 - 2/3*o**3 - 2/3*o**b - 2/9*o**4. -2*o*(o + 1)**3/9 Let w be 38/(1 - 8*2/(-12)). Let o = w - 328/21. Factor 0*q + 0 - o*q**2. -2*q**2/3 Let z(q) be the second derivative of -3*q**4 + 130*q**3/3 - 28*q**2 + 3*q. Factor z(u). -4*(u - 7)*(9*u - 2) Let f(t) = t**4 - 2*t**3 + t. Let n(p) = -2*p**4 - 2*p**3 - 44*p**2 - 27*p. Let g(i) = -22*f(i) - 2*n(i). Suppose g(j) = 0. What is j? -2/3, 0, 4 Let d(j) = -3*j + 6. Let i = 110 - 108. Let p be d(i). Suppose p*l**3 + 0 - 1/2*l**4 + 1/2*l**2 + 0*l = 0. Calculate l. -1, 0, 1 Factor 1/2*j**2 + 3*j + 9/2. (j + 3)**2/2 Let p(j) be the first derivative of -j**5/20 + j**4/8 + j**3/4 - j**2/2 + 7*j - 10. Let a(f) be the first derivative of p(f). Let a(l) = 0. Calculate l. -1, 1/2, 2 Let y(b) be the third derivative of 1/10*b**6 - 8*b**2 + 1/30*b**5 - 1/6*b**4 + 0*b**3 - 1/84*b**8 + 1/105*b**7 + 0 + 0*b. Determine j so that y(j) = 0. -1, 0, 1/2, 2 Let x(y) be the third derivative of 25*y**8/504 - 22*y**7/9 + 6229*y**6/180 - 154*y**5/3 + 25*y**4 + 561*y**2. Find n such that x(n
{ "pile_set_name": "DM Mathematics" }
. Is x >= 5? True Let y be -61 + (0 - 4)/(-1). Let w be 19/y*(-7 - -1). Suppose -w*t = -2*x + 3*x - 11, -t + x = -4. Are 4 and t equal? False Let d = -192239/14 + 13737. Is 7 != d? True Let g = -641 - -640. Which is greater: 4/415 or g? 4/415 Let b = 6 - 16. Let c = 0.0277 - 1.0277. Is b <= c? True Let r = -33/190 + -1/38. Suppose 1 = 2*y - d - 0*d, 3*y - 5 = 5*d. Suppose y = 2*v - 6, 3*l = l - 5*v + 17. Which is greater: l or r? l Let p be (-1)/2 + ((-100)/(-8) - 6). Suppose -p*l + 20 = 2. Suppose 0 = -x - i, 12 = 3*x - 2*x - 5*i. Is l greater than x? True Suppose 5*v - b + 5*b - 206 = 0, -3*v - 2*b + 124 = 0. Let h be (-8)/60 + (-617)/(-15). Are v and h unequal? True Let h be (8/20)/((-1)/5*2). Is 8/17 <= h? False Suppose -u - s = -6*u + 6, -4*u - s + 3 = 0. Let k be 6/(-8) + (-38)/(-56). Is u smaller than k? False Let f be (7 + 2)/(4/(8/(-13))). Is 0 at least as big as f? True Let d = 31492258 + -2393464353/76. Let t = 694 + d. Which is smaller: t or 0? t Let n = 49 + -40. Suppose n = -2*h + 9. Which is smaller: 7/11 or h? h Let v(x) = -2*x**3 - x**2 + 3*x - 3. Let l be v(2). Let i(k) = k**3 + 8*k**2 + 16*k - 15. Let d be i(-5). Which is smaller: l or d? d Let i be 3/209 + (-6)/57. Let p = 6 - 4. Suppose -p*q = -4*q. Is i > q? False Let d(g) = 3*g - 3 + 2*g - 3*g - 3*g. Let v be d(-7). Suppose -5*l - 25 = -3*j - 2*j, v*l + 14 = 2*j. Is l less than or equal to 0? True Let k = 0.1 - 13.1. Let j = k - -12. Let d = 1.01 - 0.01. Which is greater: d or j? d Let x = -152 - -296. Suppose 4*z = -2*z - x. Which is greater: z or -25? z Let z = 72.5 - 76. Is z at least -2? False Let t(o) = o**2 - 10*o + 3. Let d be t(10). Suppose 24 = -3*i - 4*l - l, -2*l = -d*i - 45. Let b(h) = h - 8. Let v be b(-5). Do v and i have different values? False Let f(n) = 0*n**2 - 17*n - 26 + 15 + 3*n**2. Let g be f(6). Is 3 less than or equal to g? False Let q = 34 - 40. Let h be (-3)/6 + 11/(-2). Is h at least q? True Suppose -5*c - 49 + 9 = 0. Suppose 0 = u - 6*p + p + 17, 3*p + 22 = -4*u. Which is smaller: u or c? c Let f = -35 - -34. Let t(h) = -h**3 + 3*h**2 + 6*h - 1. Let o be t(5). Which is smaller: f or o? o Let j be (-13)/((1/2)/(-1)). Let o(z) = 24*z**3 + z**2 - 3*z + 2. Let f be o(1). Is j at least as big as f? True Let l = 58 - 46. Suppose 0 = 3*o + l*o + 105. Which is bigger: -17 or o? o Suppose 2*m - 4*n = -3*m + 16, 0 = 4*m - 5*n - 20. Let d be m/(3/((-28)/(-8) + -2)). Which is smaller: d or -4/15? -4/15 Suppose -264 - 6 = 2*o. Is -135 at most as big as o? True Let z = 5 + 3. Suppose 5*s = -2*s + 14. Suppose 4*h + k - 38 = 0, -11 + 1 = -s*h + 4*k. Which is smaller: h or z? z Let f = 659.85 - 648. Let b = 7.85 - 8. Let n = f - b. Which is smaller: n or 0.1? 0.1 Let n(h) be the second derivative of h**4/12 + h**3/6 + 7*h**2/2 + 2*h. Let s be n(3). Let t = s + -20. Which is greater: t or -2? t Let l be -1 + (1 - -2) + -2. Let s be l + 0 - 4/(-6). Let d = -69/5 - -2267/165. Which is smaller: d or s? d Let d = 118 - 103. Suppose w = 5, -h - 4*h + w + 65 = 0. Are h and d nonequal? True Let f be (4/(-24))/((-3)/(-2 - 16)). Which is bigger: 13/67 or f? 13/67 Let c = 1 - -1. Let t = 28 - 0. Let p = -26 + t. Does p = c? True Let g = -56 + -11. Let k = 59 + g. Which is smaller: -1/6 or k? k Suppose 6*y - 4*y - 4 = 0. Let m be (-9 - -10)/(-3 + (-49)/(-16)). Suppose -3*b - m = -c, -y*c + 6*c - 3*b = 19. Which is smaller: -1/10 or c? -1/10 Suppose -2*i - 8 = 8*t - 6*t, -14 = 4*t + 2*i. Which is bigger: -1 or t? -1 Let y(l) = 2*l - 1. Let z be y(-7). Let g(x) = x**3 - 9*x**2 - 9*x - 12. Let f be g(10). Let q be 3/f*(-10)/z. Is 2/25 at least q? True Let b = -4417/9 + 492. Which is greater: b or 1? b Suppose -2*w - 5 = -3*w. Let l(g) = 4*g - 4. Let v be l(2). Let d = w - v. Which is smaller: 2 or d? d Let c(b) = b**3 - 4*b**2 + 6*b - 3. Let m be c(4). Suppose j - m = -2*j. Let t(s) = s**3 - 8*s**2 + 6*s + 9. Let x be t(j). Which is bigger: 0 or x? x Let o = 83 + -83.049. Which is smaller: o or 2? o Suppose 3*c + 3 = 0, 0 = -6*h + h - 2*c + 18. Suppose 30 = h*v - 78. Is 29 smaller than v? False Let a be (25/(-10) + 3)/((-1)/18). Suppose -3*v + 5*v = 66. Let m = 23 - v. Which is greater: a or m? a Let n be ((0 - 3) + 74/(-3))*3. Which is greater: n or 0? 0 Let w(y) = -y**2 + 19. Let b be w(-3). Suppose 171 = -b*d + 21. Let i = -17/21 + 8/7. Which is greater: i or d? i Let v = 137408/59 - 2329. Which is smaller: v or -1? -1 Let k be 0 - 0 - 12/(-3). Suppose 0 = 3*v - 0*v - 2*z + 29, 4*v = 3*z - 39. Let b be 0 - (v/k + 2). Is b less than -2/7? False Let z be 440/60 - 1/3. Let t = -5 + 12. Is t greater than z? False Suppose 2*c + 0 + 5 = 3*f, -f - 3*c - 13 = 0. Do f and 2/21 have the same value? False Let i = 19 - 163/9. Let v = 6 + -4. Are v and i unequal? True Suppose 19*p = 22*p + 987. Is p <= -329? True Let g = 18.6 - 18.5. Which is greater: -0.75 or g? g Let g(m) = m**3 + 7*m**2 + 6*m - 4. Let k(s) = s**2 - 10*s + 2. Let o be k(10). Suppose 4*d - 2*y = -28, -o*d - 10 = d + 4*y. Let r be g(d). Is 1/4 equal to r? False Let g(u) = 5*u + 44. Let j be g(-8). Let y be (-5)/(-20) - j/((-48)/(-57)). Which is bigger: -4 or y? -4 Let o(b) = -13*b - 115. Let p be o(-10). Which is bigger: 12 or p? p Let w = -33.1 - -27.1. Which is bigger: w or 33? 33 Suppose h + 5 = 2*h. Let l be (-33728)/(-360) + 1/h. Let p = -94 + l. Which is greater: p or 0? 0 Let r be (9/27)/((-2)/102). Let l = -11 - r. Let q = 8 - l. Is 2 not equal to q? False Suppose -2 = 2*w, -9*w + 8*w = 3*d + 406. Which is smaller: -139 or d? -139 Let s = 231 - 229. Is s at most as big as -71? False Let k = 52 - 44. Suppose 0 = -3*p - k + 5. Is -2/375 > p? True Let j = 0.04 + 0. Suppose -5*i - c = 7, 2*i + 11*c = 7*c - 10. Is j < i? False Let t = 1441 + -1441. Is -2/1015 > t? False Let p be 1/(-2)*(-15 + 1). Let h(v) = v**2 - 4*v**3 + 3*v**3 + 5*v**2 + v**2. Let c be h(p). Is c greater than or equal to -3? True Let q be 34*(3 + -1) - -2. Let m = 39 - q. Which is bigger: 0 or m? 0 Let h = 10846 - 43401/4. Suppose 3*c - 20 = -c. Suppose -5*b + 4 = -4*i - 1, 20 = -i - c*b. Do i and h have different values? True Let w = -9 + 10. Let j = w + -5. Let b be j/(-14) - (-13)/(-21). Is -1 greater than b? False Let y = -356 + 363. Is y less than -1/15? False Let w be (2/(-5))/((-2)/142). Let a = 28 - w. Which is bigger: 0 or a? 0 Suppose -4*u + 0 = t - 4, 5*t = -u + 20. Suppose a + 5*c + 25 = u, -a + 20 = -c - 3*c. Which is greater: a or -1/72? a Let h = -38.4 - -38.886. Let a = 0.014 + h. Are a and 1/4 nonequal? True Let d = 56 + -55. Is 56 greater than or equal to d? True Let s = 223854941/2853 + -78463. Is s greater than or equal to 1? False Suppose 16*y + 92 = -7*y. Let z be (-4)/10 - (-84)/(-15). Which is bigger: y or z? y Suppose 36*m = 73 + 35. Which is bigger: m or 10/3? 10/3 Let k = -309 + 312. Is k smaller than 46/15? True Let m = 43 + -44. Suppose 0 = -5*a + 54 - 4. Is m at least as big as a? False Suppose -3*j + 4 = -2*z, 10 = 2*j - 74*z + 69*z. Let o be (-6)/4*(-8)/(-150). Which is smaller: o or j? o Let u be 0*(12/(-18))/2. Which is smaller: u or -2/497? -2/497 Suppose 4*a + 328 = -5*p - 182, -5*a + 367 = -4*p. Is -99 bigger than p? False Let w = 93 + -45. Let u be (2/w)/(6/8). Let g(r) = 321*r + 9629. Let x be g(-30). Which is greater: u or x? u Let z(c) = 3*c**2 + 17*c + 230. Let j be z(0). Which is bigger: j or 232? 232 Suppose -162*t + 195 = -157*t. Is t greater than 0? True Suppose -3*g + 3 = -3*i + 9, 4*i = 2*g + 6. Let j(l) = 7*l**2 - 2*l - 1. Let s be j(g). Let q = 10 - s. Which is smaller: -1 or q? -1 Let x = -0.506 + 0.62. Let p = -0.014 + x. Is p bigger than 0.3? False Let q be (-42)/(-264)*2*-2. Is q <= -2? False Suppose 13 = -5*d - 7. Let p be d/(-6)*(-15)/10. Let c be 4*p - (-119)/7. Is 13 not equal to c? False Let u = 14417/142 + -203/2. Let f = -3770 + 3769. Which is greater: f or u? u Let c = 585 - 570. Are c and 2 non-equal? True Let u(d) = 65*d - 42. Let b be u(6). Which is greater: b or 347? b Let a = -2.79 - 5.21. Which is bigger: 0 or a? 0 Let g(z) = 3*z - 16. Let u be g(5). Let x be u/(4/(-20 + 0)). Suppose 13 = -2*y + 5*f, -x*f - 5 - 10 = 5*y. Which is greater: -3 or y? -3 Suppose 0 = -2*g + 38. Suppose g*s = 24*s - 410. Which is smaller: 83 or s? s Suppose 19 - 3 = t - 2*z, -6 = 2*z. Let s = -35
{ "pile_set_name": "DM Mathematics" }
the highest common divisor of 224 and 14? 14 What is the highest common factor of 97 and 39576? 97 Calculate the greatest common factor of 2775 and 444. 111 What is the highest common divisor of 294 and 63? 21 Calculate the greatest common divisor of 30 and 50. 10 What is the greatest common factor of 80 and 16? 16 Calculate the greatest common factor of 7 and 3563. 7 What is the highest common factor of 164 and 738? 82 Calculate the highest common factor of 70 and 95. 5 What is the highest common divisor of 1176 and 15141? 147 What is the highest common factor of 32 and 5136? 16 Calculate the highest common divisor of 75 and 27. 3 What is the greatest common divisor of 3 and 3873? 3 Calculate the greatest common divisor of 237 and 9. 3 What is the highest common divisor of 189 and 36? 9 Calculate the highest common divisor of 80 and 50. 10 What is the greatest common divisor of 29436 and 264? 132 Calculate the greatest common factor of 48 and 18. 6 Calculate the greatest common divisor of 58 and 290. 58 What is the greatest common divisor of 135 and 27? 27 Calculate the greatest common divisor of 112 and 196. 28 Calculate the greatest common divisor of 12461 and 34. 17 What is the greatest common divisor of 22905 and 10? 5 Calculate the highest common factor of 34434 and 18. 18 Calculate the greatest common factor of 305 and 2379. 61 What is the highest common divisor of 24886 and 92? 46 Calculate the greatest common factor of 91 and 1183. 91 Calculate the highest common factor of 415 and 1411. 83 Calculate the greatest common factor of 42 and 186. 6 Calculate the highest common factor of 6 and 548. 2 Calculate the highest common factor of 36 and 5. 1 Calculate the greatest common factor of 91 and 455. 91 What is the greatest common divisor of 1104 and 414? 138 What is the highest common divisor of 216 and 945? 27 What is the greatest common factor of 6 and 3420? 6 What is the greatest common divisor of 15 and 75? 15 Calculate the highest common divisor of 61 and 1647. 61 What is the greatest common divisor of 48 and 18? 6 Calculate the greatest common divisor of 1219 and 5671. 53 Calculate the highest common factor of 2849 and 231. 77 Calculate the greatest common divisor of 40 and 460. 20 Calculate the highest common factor of 1843 and 291. 97 Calculate the greatest common divisor of 16 and 64. 16 Calculate the greatest common divisor of 1454 and 6. 2 Calculate the highest common divisor of 64 and 608. 32 What is the highest common factor of 266 and 14? 14 What is the greatest common factor of 64 and 3392? 64 Calculate the greatest common divisor of 11 and 1969. 11 What is the greatest common divisor of 105 and 175? 35 Calculate the greatest common factor of 1431 and 53. 53 Calculate the greatest common factor of 84 and 396. 12 Calculate the highest common divisor of 465 and 837. 93 Calculate the highest common factor of 54 and 4896. 18 Calculate the greatest common factor of 55 and 10285. 55 What is the highest common factor of 90 and 8586? 18 Calculate the highest common divisor of 155 and 217. 31 What is the highest common divisor of 1729 and 133? 133 What is the highest common divisor of 598 and 78? 26 What is the highest common factor of 43 and 19? 1 Calculate the highest common divisor of 6696 and 1302. 186 Calculate the greatest common factor of 63 and 8127. 63 What is the greatest common divisor of 18 and 8757? 9 Calculate the highest common divisor of 98 and 2520. 14 Calculate the greatest common divisor of 12127 and 67. 67 What is the greatest common factor of 21 and 1029? 21 What is the greatest common factor of 2550 and 34? 34 What is the greatest common factor of 820 and 40? 20 Calculate the greatest common factor of 2382 and 9. 3 Calculate the greatest common factor of 290 and 116. 58 Calculate the highest common divisor of 9 and 1035. 9 What is the greatest common factor of 286 and 3276? 26 Calculate the greatest common factor of 462 and 726. 66 Calculate the greatest common factor of 240 and 180. 60 Calculate the greatest common factor of 2814 and 42. 42 What is the highest common factor of 182 and 70? 14 Calculate the greatest common divisor of 11310 and 650. 130 What is the highest common divisor of 33 and 1936? 11 Calculate the greatest common factor of 1937 and 65. 13 Calculate the highest common divisor of 92 and 4. 4 What is the greatest common factor of 282 and 376? 94 Calculate the greatest common divisor of 308 and 56. 28 Calculate the highest common divisor of 897 and 69. 69 What is the highest common factor of 9360 and 80? 80 What is the greatest common divisor of 13264 and 16? 16 Calculate the greatest common factor of 738 and 18. 18 Calculate the highest common divisor of 462 and 1716. 66 Calculate the greatest common factor of 115 and 9085. 115 Calculate the greatest common divisor of 40 and 64. 8 Calculate the greatest common factor of 35075 and 25. 25 What is the highest common factor of 95 and 23902? 19 What is the greatest common divisor of 2982 and 126? 42 What is the highest common divisor of 512 and 768? 256 Calculate the highest common divisor of 450 and 36. 18 Calculate the highest common divisor of 6 and 384. 6 What is the greatest common factor of 13158 and 18? 18 What is the greatest common factor of 12 and 4236? 12 Calculate the highest common factor of 214 and 42479. 107 Calculate the greatest common factor of 26 and 2. 2 What is the greatest common divisor of 1617 and 66? 33 Calculate the highest common divisor of 20894 and 124. 62 Calculate the greatest common divisor of 851 and 23. 23 What is the highest common factor of 112 and 14? 14 What is the greatest common divisor of 714 and 30? 6 Calculate the highest common divisor of 245 and 10. 5 What is the greatest common divisor of 98 and 658? 14 What is the highest common factor of 17427 and 888? 111 Calculate the greatest common divisor of 123 and 3. 3 Calculate the highest common factor of 128 and 96. 32 Calculate the highest common factor of 875 and 35. 35 What is the greatest common factor of 474 and 24? 6 What is the greatest common divisor of 2562 and 462? 42 Calculate the greatest common factor of 17 and 476. 17 What is the highest common factor of 989 and 23? 23 What is the greatest common factor of 144 and 72? 72 What is the greatest common factor of 26 and 1534? 26 Calculate the greatest common factor of 126 and 14. 14 Calculate the highest common divisor of 800 and 580. 20 What is the greatest common divisor of 903 and 147? 21 Calculate the highest common divisor of 2870 and 42. 14 What is the highest common factor of 378 and 162? 54 What is the greatest common divisor of 1140 and 75? 15 Calculate the greatest common factor of 81 and 18. 9 Calculate the highest common factor of 669 and 15. 3 Calculate the highest common divisor of 195 and 715. 65 Calculate the highest common divisor of 5675 and 50. 25 What is the highest common factor of 32 and 9952? 32 Calculate the highest common divisor of 77 and 66. 11 What is the highest common divisor of 3074 and 174? 58 Calculate the highest common factor of 3699 and 432. 27 What is the highest common divisor of 437 and 23? 23 Calculate the highest common divisor of 844 and 4853. 211 What is the greatest common factor of 492 and 41? 41 Calculate the highest common divisor of 5 and 258. 1 Calculate the greatest common divisor of 648 and 81. 81 Calculate the highest common factor of 48 and 14736. 48 Calculate the highest common divisor of 3053 and 43. 43 What is the greatest common divisor of 23 and 943? 23 Calculate the greatest common factor of 9 and 72. 9 Calculate the greatest common factor of 15 and 520. 5 What is the highest common factor of 280 and 2744? 56 Calculate the highest common factor of 552 and 1242. 138 Calculate the highest common divisor of 75 and 1200. 75 What is the greatest common divisor of 8 and 8? 8 What is the greatest common factor of 77 and 889? 7 What is the greatest common divisor of 1397 and 198? 11 What is the greatest common factor of 45 and 2805? 15 Calculate the highest common factor of 29 and 2059. 29 Calculate the greatest common factor of 40 and 72. 8 What is the highest common divisor of 39 and 29? 1 What is the greatest common divisor of 78 and 2210? 2
{ "pile_set_name": "DM Mathematics" }
p? 4 Let a be 3 + -2 + 4/(-2). What is the tens digit of a + 1 + (14 - -3)? 1 Suppose 124 = -10*r + 4994. What is the units digit of r? 7 Let v(u) = -u - 2. Let b be v(-4). Suppose -3*r + 460 = b*r. Let n = r - 64. What is the tens digit of n? 2 Let m(l) be the second derivative of -l**3/6 - 3*l**2 - 8*l. Let n be m(-9). Suppose n*x = -17 + 71. What is the units digit of x? 8 Let t(b) be the first derivative of b**6/180 + b**5/120 - b**4/12 - 7*b**3/3 - 2. Let d(h) be the third derivative of t(h). What is the units digit of d(-4)? 6 Let h(y) = y**2 - y + 5. Let r be h(0). Let g(v) = -19*v + 131. Let n be g(7). What is the units digit of n + 3 - (r - 35)? 1 Let u(n) = 30*n**2 - 144*n + 24. What is the tens digit of u(11)? 7 Let b(w) = 21*w**3 + 8*w**2 - 46*w + 193. What is the thousands digit of b(5)? 2 What is the units digit of -2*1*(-8 + (-5050)/20)? 1 Let a(h) = 10*h + 7. Let w be a(3). Let s = w + -12. What is the units digit of s? 5 Let s(h) = 81*h - 209. What is the units digit of s(14)? 5 What is the units digit of (5292/30)/(4/10)? 1 Let u = -332 - -2728. What is the hundreds digit of u? 3 Suppose 0 = -2*y + 4*j + 6, 5*y + j - 21 - 5 = 0. Suppose -y*p - 2 = 8. What is the units digit of ((-2)/p)/((-2)/(-12))? 6 Let t(b) = 7*b**3 - 5*b**2 + 12*b - 4. Let y(f) = -f**3. Let h(s) = t(s) + 6*y(s). What is the tens digit of h(5)? 5 Let s(n) = 98*n + 194. What is the hundreds digit of s(6)? 7 Let f = 435 + 837. What is the hundreds digit of f? 2 Suppose 0 = 4*s + s + 375. Let x = s + 109. Let u = x - 2. What is the units digit of u? 2 Let n = 650 + -183. What is the tens digit of n? 6 Suppose -260 = -4*h + 4*v, 2*v + 15 = 4*h - 235. What is the units digit of h? 0 Let k(i) = -4*i + 4*i - 10 - 4*i. Let y be k(-5). Suppose y + 25 = 5*o. What is the units digit of o? 7 Suppose 2*a = 3*f - 10, -8*a - 32 = -4*a - 3*f. Suppose -6*k + 3*k + 177 = 0. Let y = a + k. What is the units digit of y? 8 Suppose 3*b = 2*c + 5*b, -4*c - 5*b = -4. Let q = c + 8. Suppose 29 = q*u - 3*z - 48, u = 5*z + 15. What is the tens digit of u? 2 Suppose 2*j + 303 + 113 = w, 0 = -4*w + 2*j + 1682. What is the hundreds digit of w? 4 Let i = 617 - 422. What is the hundreds digit of i? 1 Let u = -5 + 7. Suppose -5*b = u*v - 45, 2*v + 1 - 25 = -2*b. Suppose 0 = 6*i - b*i + 48. What is the units digit of i? 8 Let h(j) = 10*j**2 + 51*j - 675. What is the units digit of h(21)? 6 Let v be (-30)/(1 + -4) + -2. Suppose -b + 13 = 4*a, -2 = -2*b + v. Suppose -5*o = -x - 10, -a*x + 17 = -o + 2*x. What is the units digit of o? 3 Let l(t) = t + 1. Let q be l(-4). Let m be 10*q/(15/(-2)). Suppose -5*g - 4*d = -0*g - 73, -d = -m*g + 50. What is the units digit of g? 3 Suppose -3*t = -2*t. Suppose 4*o + 37 = 4*c + 1, t = -c - o + 3. What is the units digit of c? 6 Let f = -971 - -1167. What is the units digit of f? 6 Suppose -19*r = -4*r - 15300. What is the thousands digit of r? 1 Suppose 4*p - 343 - 57 = 0. Suppose -44*u = -47*u + 24. Suppose 4*j + p = u*j. What is the tens digit of j? 2 Suppose 5*o - 22 = 6*o. Let x = o - -42. What is the units digit of (2 + 12)/(8/x)? 5 Let s(a) = 530*a + 533. What is the hundreds digit of s(8)? 7 Let c = 94 - 58. Let x = c + 36. Suppose -2*s + x = s. What is the units digit of s? 4 Suppose -29*t + 11*t = -8316. What is the units digit of t? 2 Let c be ((-40)/(-24))/((-3)/288). Let h = c + 307. What is the units digit of h? 7 Let c = -2704 + 4108. What is the thousands digit of c? 1 Let y = 13 - 8. Suppose 4*c + 3*k - 126 = k, 5*k = -y. What is the tens digit of c? 3 Let m be ((-80)/(-25))/((-4)/(-50)). Suppose -4*v + m = 5*t - v, -4*t - 3*v + 35 = 0. Suppose -25 = -t*i, -7 = 2*u - 4*i + 11. What is the units digit of u? 1 Suppose 216*g + 30500 = 226*g. What is the tens digit of g? 5 Let m = 3 + -12. Let i be (-72)/m - (4 + -1). What is the units digit of (i - 1)*(2 + -1)? 4 Suppose -5*a = 50 - 35. Let h(y) = -4*y**3 - 4*y**2 - 3*y - 3. What is the tens digit of h(a)? 7 Let c be 2*(1106/(-84))/((-1)/(-3)). Let i = 90 + c. What is the tens digit of i? 1 Let i = 56 + -15. Let l(m) = -m**2 + 9*m + 7. Let u be l(6). Let v = i - u. What is the units digit of v? 6 Let x(m) = 5*m. Suppose 3*w - 18 = 5*o, -3*w - 3*o + 0 - 6 = 0. Let v be x(w). Let r = v - -2. What is the units digit of r? 7 Suppose x = -2*v - 5, v = -x - 0*v - 7. Let h = -21 - -33. Let l = h + x. What is the units digit of l? 3 Let g(t) = 92*t**3 - 19*t**3 + 101*t**3 + t. Let f be g(1). Suppose -7*x + f = -2*x. What is the units digit of x? 5 Let r = 49 - 27. Suppose -2*c + 7*c = 2*z + r, 5*z = -3*c + 7. What is the tens digit of (z - -3) + -5 - -37? 3 Let p = 3767 + -2055. What is the units digit of p? 2 Let u be 4/(-10) + (-28)/5. Let y be 196/(-42)*u/(-2). Let a = y - -65. What is the units digit of a? 1 Let z(s) = 222*s + 283. What is the hundreds digit of z(5)? 3 Suppose -14*g + 50 = -9*g. Suppose g = 3*i + 4. Suppose -h = i*h - 54. What is the units digit of h? 8 Let q(n) = n - 6. Let y be q(6). Suppose 3*x = -y*x + 27. What is the units digit of 58*(x/(-6) + 2)? 9 Let n(b) = b**2 - 6*b - 2. Let y be n(7). Suppose -25 = y*x + 5*u, x + 5 = 3*x - 3*u. Let q = 18 + x. What is the tens digit of q? 1 Suppose 0 = 11*w - 2279 - 1384. What is the tens digit of w? 3 Let f = 12 + -10. Suppose 0 = f*q - 3*q + 37. What is the units digit of 1*q - 8/(-4)? 9 Suppose -3*o - 2*t - 140 = 0, -9*t = 3*o - 6*t + 144. What is the tens digit of (o/55)/(2/(-615))? 4 Let v(o) = 679*o**2 - 4*o - 5. What is the units digit of v(-1)? 8 Let b = 756 - -414. What is the units digit of b? 0 Let j be (12/(-10))/(4/(-170)). Let y = j + -37. Suppose y = 4*x - 14. What is the units digit of x? 7 Let z = -28 + 24. What is the tens digit of ((-544)/28)/z*7? 3 Let l be (-10 - -7) + (-6)/(-1). Suppose -l*t + 16 + 70 = -5*f, -2*f - 124 = -4*t. What is the units digit of t? 2 Suppose 5*s - 2*s = 5*b + 52, 3*b = -15. Let f = s - 2. What is the units digit of f? 7 Suppose -5*l = -9*a + 5*a + 5604, -3*l - 7018 = -5*a. What is the thousands digit of a? 1 Suppose 0 = -35*b + 31*b. Suppose l - 15 - 312 = -p, b = 4*p + 2*l - 1308. What is the units digit of p? 7 Let s(z) = -z**3 + 2*z**2 - 2*z - 7. Let n be s(0). Let g(q) = q + 17. What is the units digit of g(n)? 0 What is the tens digit of -1 + (-5 - -2*202)? 9 Let c = 128 - 107. What is the tens digit of 6285/c + -2 - (-24)/(-84)? 9 Suppose -9*w - 84 = -10*w. Let c = -57 + w. Suppose 2*i - c = -3*i - 3*y, 1 = -i + y. What is the units digit of i? 3 Let z(d) = 6*d - 2*d**2 + d**2 - 1 - 16*d. Suppose -2*m - 27 = -4*t + 9, -4*t - 4 = 3*m. What is the units digit of z(m)? 5 Suppose 4*f - 5*d - 2721 = 0, 26*f - 30*f = d - 2715. What is the hundreds digit of f? 6 Suppose 4 = -5*g + 2*o - 6*o, 4*g - 4 = -5*o. Let q(u) = u + 8. Let d be q(g). What is the units digit of (-32 + -10)*d/(-6)? 8 Let m(n) = -n**3 + 5*n**2 + 7*n - 2. Suppose 0 = 4*i - 5*u - 13, -5*u + 3 = -i - 5. Let d be m(i). Let c = d + 82. What is the tens digit of c? 3 Let x = -9 + 11. What is the tens digit of (476/49 + -8)/(x/301)? 5 Let z(n) = 11*n**2 - 41*n - 393. What is the hundreds digit of z(-8)? 6 Let z(i) = 70*i**3 - i**2 - 3*i + 12. What is the hundreds digit of z(2)? 5 Let l(q) = 5*q - 2. Suppose 0 = 4*s - d - 180, 3*d = -0*s - 2*s + 90. Let i be 18/s*5*1. What is the units digit of l(i)? 8 Let k(r) = -r + 19. Suppose 2*h = -7 + 3, -5*d = -4*h - 83. Let l be k(d). Suppose 3*n - 8 = -y + 2, 2*n - l*y - 16 = 0. What is the units digit of n? 4 Let s(n) = -n - 2. Let w be s(-2). Suppose -f = -w*f - 47. What is the units digit of f? 7 Let p be 5 + -2 - 0/(-1). Suppose p*s - 88 = -s. Suppose 4*o - 42 = -2*m + s, 0 = -3*o + 3*m + 39. What is the units digit of o? 5 Let v(g) = g**3 - 12*g**2 + 10*g + 10. Let z be (15 - 16/4)*1. Let n be v(z). What is the units digit of n - -2 - (-58 - 3)? 2 Suppose -7*y = 765 - 1794. What is the units digit of y? 7 Let k = 1810 - 1669. What is the tens digit of k? 4 Let i be (3/2)/(481/104 - 5). Let u(d) = -8*d**2 - 2*d + 21. Let v(k) = k**2 - 1. Let o(b) = -u(b) - 5*v(b). What is the units digit of o(i)? 4 What is the tens digit of (-54)/189 + 690/14? 4 Let d(f) = -f**3 + 30*f**2 - 13*f - 49. What is the units digit of d(-8)? 7 Let b be 0 - (-4 - (0 + 1)). Suppose 4*w = 3*u + 34 -
{ "pile_set_name": "DM Mathematics" }
What is prob of picking 2 g when two letters picked without replacement from fgmwgud? 1/21 Two letters picked without replacement from awwauwkw. What is prob of picking 1 w and 1 k? 1/7 Two letters picked without replacement from yroiioorooo. Give prob of picking 2 i. 1/55 Four letters picked without replacement from rurzqfrfujjqfqj. Give prob of picking 2 q, 1 u, and 1 r. 6/455 Four letters picked without replacement from {k: 3, w: 1, h: 1, n: 4, z: 6}. What is prob of picking 2 z and 2 k? 3/91 Four letters picked without replacement from {z: 4, n: 2, p: 1, r: 1, k: 3}. What is prob of picking 1 n, 1 p, and 2 k? 1/55 Two letters picked without replacement from {w: 4, x: 6, n: 7}. What is prob of picking 2 x? 15/136 What is prob of picking 2 j and 1 f when three letters picked without replacement from {o: 4, j: 6, f: 2}? 3/22 Four letters picked without replacement from hhhhhhihhhhhhhh. What is prob of picking 3 h and 1 i? 4/15 Three letters picked without replacement from nidzddzdznbzdzlzz. Give prob of picking 1 l and 2 z. 21/680 What is prob of picking 2 m when two letters picked without replacement from {m: 2, r: 2, i: 4, j: 3}? 1/55 What is prob of picking 1 n, 1 c, and 1 x when three letters picked without replacement from {c: 2, n: 1, x: 6, q: 1, l: 2}? 3/55 Two letters picked without replacement from yhxvhv. Give prob of picking 1 v and 1 x. 2/15 What is prob of picking 3 c when three letters picked without replacement from {l: 4, r: 1, y: 3, c: 6, a: 2}? 1/28 Three letters picked without replacement from bzbb. What is prob of picking 3 b? 1/4 Two letters picked without replacement from zrmrmzzzzzmrmrmzmmrz. Give prob of picking 1 z and 1 m. 28/95 Three letters picked without replacement from {f: 1, r: 2, z: 1, k: 4}. What is prob of picking 1 z, 1 f, and 1 r? 1/28 Four letters picked without replacement from fofocooeofffki. What is prob of picking 1 k, 1 e, 1 o, and 1 c? 5/1001 Calculate prob of picking 1 g and 1 i when two letters picked without replacement from gwregrgpwirprg. 4/91 Calculate prob of picking 2 r and 2 m when four letters picked without replacement from {m: 5, r: 5}. 10/21 Three letters picked without replacement from {l: 1, m: 3, n: 1, s: 2}. What is prob of picking 1 m, 1 l, and 1 n? 3/35 Two letters picked without replacement from ywpypywrywpqpwqq. Give prob of picking 2 y. 1/20 Three letters picked without replacement from {v: 1, t: 5, d: 1, q: 4, l: 1, x: 1}. Give prob of picking 1 d, 1 q, and 1 l. 2/143 Four letters picked without replacement from {u: 6, f: 4, l: 5, m: 1, r: 3, x: 1}. What is prob of picking 1 f and 3 l? 8/969 Three letters picked without replacement from {g: 10, o: 5, v: 4}. What is prob of picking 1 v and 2 o? 40/969 Calculate prob of picking 1 w, 1 c, and 1 o when three letters picked without replacement from {v: 1, o: 1, z: 1, w: 1, c: 1}. 1/10 What is prob of picking 1 l, 1 p, and 1 v when three letters picked without replacement from {l: 3, v: 3, p: 2}? 9/28 Four letters picked without replacement from aaccacaaaacacaaa. Give prob of picking 1 a and 3 c. 11/182 Two letters picked without replacement from qpqqpppqqqqwwqww. Give prob of picking 2 p. 1/20 Four letters picked without replacement from hehehhhehhhhexxe. What is prob of picking 3 e and 1 x? 1/91 What is prob of picking 3 c and 1 u when four letters picked without replacement from {c: 5, u: 7}? 14/99 Three letters picked without replacement from {o: 1, v: 1, a: 2, c: 1, s: 2}. What is prob of picking 2 s and 1 v? 1/35 Two letters picked without replacement from {d: 4, e: 8, j: 5}. Give prob of picking 1 e and 1 d. 4/17 What is prob of picking 1 b, 2 q, and 1 e when four letters picked without replacement from {b: 2, e: 1, q: 2, w: 2, k: 1}? 1/35 What is prob of picking 3 f when three letters picked without replacement from affaf? 1/10 Two letters picked without replacement from jljl. Give prob of picking 1 j and 1 l. 2/3 What is prob of picking 1 b and 2 r when three letters picked without replacement from {l: 1, r: 2, b: 2, t: 1, u: 1}? 2/35 What is prob of picking 1 p and 1 b when two letters picked without replacement from {w: 1, a: 1, p: 1, b: 4, r: 2}? 1/9 Two letters picked without replacement from fffffffff. What is prob of picking 2 f? 1 Two letters picked without replacement from knnkkn. Give prob of picking 1 k and 1 n. 3/5 Calculate prob of picking 3 d when three letters picked without replacement from {x: 1, h: 5, d: 4, t: 1}. 4/165 Calculate prob of picking 3 a and 1 c when four letters picked without replacement from {c: 3, a: 5, o: 1}. 5/21 Three letters picked without replacement from crcrrrc. What is prob of picking 1 c and 2 r? 18/35 Four letters picked without replacement from {y: 3, f: 7}. Give prob of picking 1 f and 3 y. 1/30 Four letters picked without replacement from zggzgzzzzzzggz. What is prob of picking 3 g and 1 z? 90/1001 Calculate prob of picking 1 h, 1 u, and 2 g when four letters picked without replacement from geyhygggyuy. 1/55 Calculate prob of picking 3 e and 1 s when four letters picked without replacement from eeeeeeeleseeee. 20/91 Three letters picked without replacement from jjjnoioijjjjiuij. Give prob of picking 1 u, 1 o, and 1 n. 1/280 What is prob of picking 1 u and 1 k when two letters picked without replacement from hkzukkuuhhu? 12/55 Four letters picked without replacement from {w: 11, z: 1, h: 1, k: 2, n: 5}. Give prob of picking 3 n and 1 k. 4/969 Four letters picked without replacement from {x: 1, j: 2, y: 7, k: 4}. Give prob of picking 1 x, 1 j, and 2 k. 12/1001 What is prob of picking 1 s and 1 t when two letters picked without replacement from psssspttpmtps? 5/26 What is prob of picking 2 z and 1 j when three letters picked without replacement from {j: 2, z: 2, s: 1, p: 1, v: 2}? 1/28 Calculate prob of picking 2 n and 1 f when three letters picked without replacement from fnnffnn. 18/35 Calculate prob of picking 1 f, 2 u, and 1 k when four letters picked without replacement from fijijmjukuu. 1/110 Calculate prob of picking 2 c and 1 l when three letters picked without replacement from {h: 7, l: 3, c: 2}. 3/220 Calculate prob of picking 3 x when three letters picked without replacement from lllvdllxllxlvxld. 1/560 Three letters picked without replacement from {p: 10, s: 7, q: 1, h: 2}. Give prob of picking 1 h and 2 p. 3/38 What is prob of picking 3 a when three letters picked without replacement from aaaaaaa? 1 Calculate prob of picking 1 c and 1 g when two letters picked without replacement from sgocb. 1/10 What is prob of picking 2 u and 2 w when four letters picked without replacement from wukwwwwuwwkuuwuwwww? 55/323 What is prob of picking 3 g and 1 z when four letters picked without replacement from gjgwgjgjqgjgzzjg? 1/26 Two letters picked without replacement from ccdc. What is prob of picking 2 c? 1/2 Two letters picked without replacement from {e: 1, n: 2, b: 1, p: 1}. What is prob of picking 1 e and 1 b? 1/10 What is prob of picking 1 v and 3 c when four letters picked without replacement from {c: 4, i: 5, v: 3}? 4/165 Two letters picked without replacement from {w: 2, x: 2}. Give prob of picking 2 x. 1/6 Four letters picked without replacement from {j: 3, d: 1, l: 4}. Give prob of picking 1 d, 2 l, and 1 j. 9/35 Three letters picked without replacement from {f: 1, c: 1, a: 1, n: 1, k: 1}. What is prob of picking 1 c, 1 f, and 1 n? 1/10 Two letters picked without replacement from {c: 1, t: 3, o: 2, g: 1, v: 5}. What is prob of picking 1 t and 1 g? 1/22 Three letters picked without replacement from ybbbbbybbbbybbyy. Give prob of picking 1 y and 2 b. 55/112 Three letters picked without replacement from {i: 5, l: 7, n: 8}. What is prob of picking 2 i and 1 n? 4/57 Three letters picked without replacement from {l: 2, b: 1, f: 2}. Give prob of picking 1 l and 2 f. 1/5 What is prob of picking 2 z when two letters picked without replacement from {o: 6, z: 7, q: 1}? 3/13 What is prob of picking 2 g when two letters picked without replacement from {a: 2, g: 2}? 1/6 Calculate prob of picking 1 j, 1 s, 1 c, and 1 h when four letters picked without replacement from {h: 3, p: 3, j: 2, s: 1, c: 3, z: 4}. 9/910 Calculate prob of picking 1 g and 1 o when two letters picked without r
{ "pile_set_name": "DM Mathematics" }
86 weeks to microseconds. 4044047212800 How many millilitres are there in 21/2 of a litre? 10500 Convert 6976.293cm to meters. 69.76293 What is 45/2 of a litre in millilitres? 22500 What is 7.845313 weeks in minutes? 79080.75504 What is 4401.804 decades in millennia? 44.01804 How many millilitres are there in eighteen fifths of a litre? 3600 How many grams are there in 25.6469 kilograms? 25646.9 What is 1/10 of a millennium in years? 100 How many minutes are there in 17/7 of a week? 24480 What is 3/8 of a millennium in months? 4500 What is 7/4 of a millimeter in micrometers? 1750 What is 41/2 of a litre in millilitres? 20500 How many millimeters are there in one tenth of a meter? 100 What is 269.74425 months in decades? 2.24786875 How many nanograms are there in 3/50 of a milligram? 60000 What is 55386.9 nanograms in kilograms? 0.0000000553869 How many days are there in 58014.684us? 0.00000067146625 How many nanometers are there in six fifths of a micrometer? 1200 How many micrograms are there in 3/8 of a milligram? 375 What is one fifth of a gram in milligrams? 200 What is ninety-seven halves of a micrometer in nanometers? 48500 What is 2.880225 kilograms in milligrams? 2880225 What is 20241.222 months in centuries? 16.867685 How many kilograms are there in 86276.65ug? 0.00008627665 What is 1/80 of a millennium in months? 150 What is 6/5 of a millennium in decades? 120 What is 927.2635t in kilograms? 927263.5 Convert 9996.696 millennia to decades. 999669.6 Convert 8.911864l to millilitres. 8911.864 Convert 45.8997462 minutes to weeks. 0.00455354625 What is 457408.4mg in tonnes? 0.0004574084 Convert 19166.5 millilitres to litres. 19.1665 How many tonnes are there in 3463.039ug? 0.000000003463039 How many minutes are there in 1.4111535s? 0.023519225 How many decades are there in 927.4569 centuries? 9274.569 How many milligrams are there in 21370.21 grams? 21370210 How many hours are there in 17.112684 minutes? 0.2852114 Convert 895.01724 minutes to days. 0.62153975 How many decades are there in 1131.2256 months? 9.42688 How many nanometers are there in 9.252433 meters? 9252433000 How many grams are there in 150.5434ug? 0.0001505434 How many nanograms are there in 57/2 of a microgram? 28500 Convert 5.918913 milliseconds to days. 0.0000000685059375 What is 82.29508 hours in minutes? 4937.7048 How many millilitres are there in 7.353471l? 7353.471 Convert 102446.964 microseconds to days. 0.00000118572875 Convert 281169.3 millennia to centuries. 2811693 How many nanometers are there in 152718.8m? 152718800000000 How many millilitres are there in 6.012424l? 6012.424 Convert 5122.969nm to micrometers. 5.122969 How many minutes are there in 2.5431174 microseconds? 0.00000004238529 Convert 13.33043 millimeters to nanometers. 13330430 How many minutes are there in 10/9 of a week? 11200 What is 7.403741 hours in minutes? 444.22446 Convert 111455.2ms to seconds. 111.4552 How many months are there in 812619.6 centuries? 975143520 How many months are there in 15/4 of a decade? 450 How many milligrams are there in 6/25 of a gram? 240 What is 0.2314308 decades in millennia? 0.002314308 How many millilitres are there in 78477.77 litres? 78477770 How many minutes are there in thirty-seven fifths of a week? 74592 What is 11/10 of a microgram in nanograms? 1100 What is seven thirds of a week in minutes? 23520 What is 39.26704 kilometers in nanometers? 39267040000000 Convert 4866.537 nanometers to kilometers. 0.000000004866537 Convert 571.8667 millilitres to litres. 0.5718667 Convert 687.8709 nanometers to centimeters. 0.00006878709 How many millilitres are there in five quarters of a litre? 1250 How many meters are there in 0.4202154cm? 0.004202154 How many milliseconds are there in three fifths of a minute? 36000 What is 1/10 of a centimeter in micrometers? 1000 How many milliseconds are there in 964.0243 nanoseconds? 0.0009640243 What is 1/10 of a century in years? 10 What is 0.4460663s in milliseconds? 446.0663 What is 3/40 of a hour in seconds? 270 What is 293.8636 hours in microseconds? 1057908960000 How many millilitres are there in nineteen quarters of a litre? 4750 How many millimeters are there in one fifth of a centimeter? 2 What is one fifteenth of a hour in seconds? 240 What is 10.55258l in millilitres? 10552.58 Convert 79.64574 decades to months. 9557.4888 What is 32.33689 millilitres in litres? 0.03233689 How many micrometers are there in 3/8 of a centimeter? 3750 Convert 139.5314s to milliseconds. 139531.4 How many micrograms are there in eighteen fifths of a milligram? 3600 What is 1/4 of a litre in millilitres? 250 What is 47/4 of a minute in seconds? 705 What is 18/5 of a milligram in micrograms? 3600 What is thirty-two fifths of a millennium in years? 6400 How many millilitres are there in twenty-six fifths of a litre? 5200 Convert 623.8347 grams to micrograms. 623834700 What is one tenth of a milligram in nanograms? 100000 What is 8.853647m in millimeters? 8853.647 How many years are there in 27/2 of a millennium? 13500 What is three fifths of a microsecond in nanoseconds? 600 What is 554458.5 decades in months? 66535020 What is 61.65588 milligrams in micrograms? 61655.88 How many years are there in one fifth of a decade? 2 What is 52.1567 grams in nanograms? 52156700000 What is 1/20 of a day in minutes? 72 Convert 37.74025 tonnes to nanograms. 37740250000000000 Convert 20.01181 centimeters to meters. 0.2001181 How many nanoseconds are there in 3/32 of a millisecond? 93750 Convert 80.12958ml to litres. 0.08012958 What is thirty-one halves of a tonne in kilograms? 15500 What is 48/5 of a decade in years? 96 What is 12.04092 minutes in hours? 0.200682 Convert 1360.963 decades to centuries. 136.0963 What is 393.7249ml in litres? 0.3937249 Convert 141798.6km to micrometers. 141798600000000 What is 8348.204 centuries in decades? 83482.04 What is 7/2 of a hour in minutes? 210 What is 3/25 of a meter in millimeters? 120 Convert 977.161 grams to tonnes. 0.000977161 How many minutes are there in 1/24 of a day? 60 Convert 6329356.74ns to weeks. 0.00000001046520625 What is one twentieth of a meter in micrometers? 50000 How many millilitres are there in thirteen eighths of a litre? 1625 How many micrograms are there in 2/125 of a gram? 16000 How many decades are there in seventy-three fifths of a millennium? 1460 How many months are there in 7/15 of a millennium? 5600 Convert 90550.6 millilitres to litres. 90.5506 What is 78545.02 hours in microseconds? 282762072000000 Convert 0.3939438 millilitres to litres. 0.0003939438 What is 3/5 of a century in months? 720 How many months are there in one quarter of a millennium? 3000 What is 5/8 of a microgram in nanograms? 625 How many years are there in 43/2 of a millennium? 21500 What is 0.5025246kg in micrograms? 502524600 Convert 19.16028l to millilitres. 19160.28 What is 5/24 of a minute in milliseconds? 12500 How many kilometers are there in 309.8001um? 0.0000003098001 What is 1/5 of a meter in centimeters? 20 What is 2385.681 litres in millilitres? 2385681 What is 659.3542 milligrams in tonnes? 0.0000006593542 What is 7/6 of a day in minutes? 1680 How many micrometers are there in 13/4 of a centimeter? 32500 What is one fifth of a second in milliseconds? 200 How many centimeters are there in 0.2079568m? 20.79568 How many nanograms are there in one tenth of a milligram? 100000 How many litres are there in 3048.781ml? 3.048781 Convert 59090.1 micrometers to centimeters. 5.90901 Convert 7708.287l to millilitres. 7708287 How many millennia are there in 22.12842 decades? 0.2212842 How many millimeters are there in 88.4895 meters? 88489.5 How many minutes are there in 7/16 of a day? 630 How many millilitres are there in thirty-three fifths of a litre? 6600 What is 3/25 of a kilometer in meters? 120 What is 284701.1 meters in micrometers? 284701100000 What is 82439.1 decades in months? 9892692 Convert 7.588263 kilometers to meters. 7588.263 What is 26/5 of a litre in millilitres? 5200 How many millilitres are there in 42/5 of a litre? 8400 How many grams are there in 3/8 of a kilogram? 375 What is 3/50 of a litre in millilitres? 60 How many millilitres are there in 6/25 of a litre? 240 Convert 742651.5 milligra
{ "pile_set_name": "DM Mathematics" }
l + 3. Let y be z(3). Let u = -51 - y. Calculate the highest common factor of 9 and u. 9 Suppose 3*g + 3*j - 210 = 0, 4*g - 3*j - 135 = 2*g. Suppose 0 = -2*p + 11 + g. Let y = p + -7. Calculate the greatest common divisor of 165 and y. 33 Let y be (2 - -126) + 2 + -3. Suppose 11*c = 10*c + y. Suppose 2*j + 5*r = c, -r - 29 + 88 = j. Calculate the greatest common divisor of j and 14. 14 Let v = -23 + 135. Suppose -6*h - 58 = -5*f - 3*h, f - 10 = h. Calculate the highest common divisor of v and f. 14 Let q be (-144)/(-64)*(-8)/(-3). Let j(c) = -54*c - 2. Let u be j(-2). Suppose -2*k = a - 52, -k + u = 3*a - 5*k. What is the highest common factor of q and a? 6 Suppose 4*s - 128 + 48 = 0. Suppose -2*p = -t - 1435, 0 = 4*p + 3*t + t - 2900. Suppose p = -b + 5*b. What is the highest common divisor of b and s? 20 Suppose 2*f + 3*f + x = 538, -5*x - 334 = -3*f. What is the highest common divisor of f and 36? 36 Suppose 2*y + 10 = 4*y. Calculate the greatest common factor of y and 15. 5 Let x(a) = 174*a**2 + 26*a. Let g be x(1). What is the greatest common divisor of g and 250? 50 Let u be (-6)/(-2) + -3 - 1. Let x be (12/16)/(u/28). Let p be ((-18)/x)/((-3)/(-42)). Calculate the highest common factor of p and 12. 12 Let b = 2263 - 742. What is the highest common factor of 117 and b? 117 Let c(a) = -2*a + 83. Let z be c(37). Calculate the greatest common factor of 549 and z. 9 Suppose 0 = -z - 4*z - 30. Let j = z - -16. Let k be (-1)/(-2) - 6/((-72)/294). Calculate the greatest common factor of k and j. 5 Suppose 0 = -3*p - b + 85 + 76, -2*b = 2. Let z = -209 + 344. What is the highest common divisor of z and p? 27 Let s be (-2 - -1)*-5*(-12)/(-2). Let d(r) = -17*r**3 + 4*r**2 - r - 4. Let a be d(-2). Calculate the greatest common divisor of a and s. 30 Let h = -1284 - -2234. Calculate the greatest common factor of h and 10. 10 Let q be 1 + 3 - 96/(-4). Let f(x) = 5*x + 57. Let z be f(11). Calculate the highest common divisor of z and q. 28 Let c(q) = q**3 + 5*q**2 - 3*q - 12. Let w be c(-5). Suppose -w*s - 4 = -4*s. Calculate the highest common factor of 32 and s. 4 Let d be 282/752 - (-4869)/8. Calculate the highest common factor of 7 and d. 7 Let a = 1957 - 1661. Calculate the highest common factor of 37 and a. 37 Let v(h) = -h**2 + 8*h + 1. Let x be v(6). Let u = x + -17. Let l(s) = -s**3 - 4*s**2 - 7*s - 5. Let p be l(u). What is the highest common factor of p and 69? 23 Suppose 0 = 4*z - 9*z - 425. Let j = z + 173. Suppose -3*w + 4*s - 3*s = -63, 5*w = 4*s + 98. What is the highest common divisor of j and w? 22 Suppose 0 = 2*x - 4*z - 20, -2*z - 3*z - 25 = -5*x. Suppose -2*b = -3*b. Suppose b = -x*k - k + 16. What is the highest common divisor of k and 128? 16 Let g be (-6 - -14)/(2/4). Let t be (-1)/5 - (-198)/15. Suppose y - 11 = t. What is the highest common divisor of y and g? 8 Suppose -13 - 7 = -4*r. Suppose r*a - 1216 = -0*a - 4*l, -a - 3*l = -252. What is the greatest common divisor of 30 and a? 30 Let l = 5 + -7. Let j be 71 + l + 0/1. Let t = j + -45. What is the highest common divisor of 12 and t? 12 Let z be (-810)/(-21)*336/36. What is the greatest common divisor of 60 and z? 60 Let f = 2353 - 2278. What is the highest common divisor of 325 and f? 25 Let i be (2/3)/(-6 - 11480/(-1911)). Let r = i - 55. What is the greatest common factor of r and 9? 9 Suppose 5*w - 30 = 3*g, 5*w + g + 0*g - 30 = 0. What is the highest common factor of w and 20? 2 Let r = -47 - -9. Let a = r - -49. What is the greatest common factor of 1 and a? 1 Let z = 406 - 405. Calculate the highest common divisor of 2 and z. 1 Let j(d) = -6*d**2 + 35*d + 12. Let k be j(6). What is the highest common factor of k and 12? 6 Suppose m - 2*h + 1678 = 4*m, -5*m = 5*h - 2805. Suppose 6*x = m + 500. Calculate the greatest common factor of x and 16. 16 Let q(v) = -v**3 + 7*v**2 - 6*v - 5. Let g = 35 - 30. Let x be q(g). Calculate the highest common factor of x and 135. 15 Let n be (1 + -8)/(1/(-1)). Let j(b) = b - 3. Let v be j(6). Suppose v*s + 4*r = 13, s - r + 5 = 2*s. Calculate the greatest common factor of s and n. 7 Suppose -97*o = -92*o - 335. Let c = 111 - o. Calculate the greatest common factor of c and 4. 4 Let z(n) = -140*n + 710. Let r be z(5). Calculate the greatest common factor of r and 30. 10 Suppose 5*g + 5*b = 20, -7*g - 2 = -8*g + b. Let s be (5/g)/((-25)/(-90)). Suppose -24 = 2*p - 6*p. What is the greatest common factor of s and p? 6 Let j be (121/33 + 0)*39*1. Calculate the highest common divisor of 33 and j. 11 Let c(t) = -t. Let h(p) = 45*p + 65. Let d(i) = -30*c(i) - h(i). Let q be d(-7). What is the greatest common divisor of q and 100? 20 Let f be 111915/225 + 2/(-5). Calculate the highest common factor of f and 142. 71 Let x = -14 - -18. Suppose -5*u + 2*t + 28 = -u, x*t - 7 = -u. Let m = 85 - 50. What is the greatest common factor of u and m? 7 Suppose -55 = -5*h - 25. Suppose -h*n + 60 = -3*n. What is the greatest common factor of n and 20? 20 Suppose 0 = q + 5*x + 17 - 145, 512 = 4*q + 3*x. Let u = -77 + q. What is the greatest common factor of 17 and u? 17 Let j = -424 + 202. Let r = j + 313. Calculate the greatest common divisor of r and 13. 13 Let n = -296 + 312. What is the highest common factor of n and 148? 4 Suppose -j + 3*j = 170. Suppose 529 - 699 = -10*k. What is the greatest common factor of k and j? 17 Let l = 1502 - 1500. Let a be 1 - 1*31*-1. Calculate the greatest common divisor of a and l. 2 Let l = -552 + 1306. Calculate the greatest common divisor of l and 26. 26 Let z(a) = -a**3 - 2*a**2 - 3*a + 274. Let d be z(0). Let l = -18 + d. What is the highest common divisor of 32 and l? 32 Suppose -3*z + 4*r + 125 = 3*r, r - 155 = -4*z. Let m(v) = -v**3 + 8*v**2 + 10*v + 11. Let y be m(9). Calculate the highest common divisor of y and z. 20 Let r be ((-48)/32)/((-2)/(-20)). Let f = -3 - r. Let n = -29 + 59. Calculate the highest common divisor of n and f. 6 Suppose 2*k = 6*k + 28. Let f(g) = g**2 + 6*g + 3. Let r be f(k). Calculate the highest common divisor of r and 80. 10 Suppose 5*q - 136 - 14 = 4*t, -q - 5*t + 30 = 0. Let c(j) = -j**2 + j + 40. Let o be c(0). What is the highest common divisor of q and o? 10 Let z(l) = 4*l**3 - 3*l**2 + 3*l - 2. Let n = 76 + -74. Let p be z(n). Calculate the greatest common factor of p and 216. 24 Let j be 616/105 - (-2)/15. Suppose 13 = -l + 5*x, -l + x - 3 + j = 0. Calculate the greatest common factor of l and 1. 1 Let c be (-1 + 33/1)*(-144)/(-32). Let u = -75 - -111. Calculate the highest common divisor of c and u. 36 Let p be (130*(-10)/8)/((-15)/30). Suppose -w + 2*g + 19 = 0, 2*w + g + 47 = 4*w. What is the highest common divisor of w and p? 25 Let v = 10 + -5. Let w(k) = -222*k - 5. Let i be w(3). Let q be (-1)/4 - i/44. What is the greatest common factor of v and q? 5 Let i(j) = -2*j + 1. Let t be i(1). Let d be (5 + t)*171/18. Let m = 36 + -17. What is the greatest common factor of d and m? 19 Let g be (20 + 3)/(5/335). Calculate the highest common factor of g and 23. 23 Let g(s) = s**3 - s**2 + 5*s - 14. Suppose -5*v + 8 = -3*z, -5*v + 0*z + 40 = 5*z. Let d be g(v). Calculate the greatest common divisor of d and 54. 54 Let n = -270 + 297. Calculate the greatest common divisor of 729 and n. 27 Let n(t) = -272*t + 7. Let s be n(-1). Let l = s - 95. What is the greatest common factor of l and 8? 8 Suppose 13 = b - 13. What is the highest common factor of 143 and b? 13 Let d be (-1 - (-8 + 2))*(-231)/(-15). What is the highest common factor of d and 33? 11 Suppose 3*z = -0*z + 33. Let u = z + -9. Suppose 0 = -t + 4*g + 3, g = u*t + t - 20. What is the highest common divisor of t and 56? 7 Let f = 12 + -13. Let j(a) = -3*a**3 + a**2 + 2*a + 1. Let l be j(f). Suppose -l*z = -6 - 33. What is the greatest common divisor of 117 and z? 13 Suppose 0 = 3*r - 0*r - 9, 0 = -5*i - r + 163. Calculate the greatest common divisor of 352 and i. 32 Let l = 94 - -588. Calculate the highest common factor of l and 22. 22 Suppose 6*u - 1 = 53. Let n be (6/u)/(9/513). Suppose 3*g = -3, 26 + 65 = p + 4*g. What is the highest common factor of n and p? 19 Suppose -2*l + 4*u = -7*l + 65, -3*l = 2*u - 37. Let o = 2 + l. Suppose o + 1 = c. Calculate the highest common factor of 8 and c. 4 Let b(i) = i**3 + 9*
{ "pile_set_name": "DM Mathematics" }
149 + -154. Let v(p) = -11*p + 2. Let k(h) = 9*h - 2. Let n(f) = r*v(f) - 6*k(f). Calculate n(-2). 0 Let s(w) be the first derivative of -w**2 - 47*w - 739. Calculate s(-22). -3 Suppose -h = 2*h - 99. Let f = -29 + h. Let k(r) = 3*r + 1 + 2*r**2 - 6 + 3 - 3*r**2. What is k(f)? -6 Let l be ((-246)/(-205))/((-27)/45). Let a(x) = -x - 21. Give a(l). -19 Let n(q) be the third derivative of 1/20*q**5 - 1/24*q**4 + 1/120*q**6 + 1/6*q**3 - 209*q**2 + 0*q + 0. Determine n(-3). 4 Let o(t) be the second derivative of t**4/12 - t**3/3 - 3*t**2/2 + 12*t. Let z be 1 + (-145)/(-45) + 4/(-18). Let a be 3 - (3 - (-2 + -4 + z)). Determine o(a). 5 Suppose -18*j = 2*j - 60. Let w(p) = -1891*p**2 + 7*p**3 + 1892*p**2 - p**j. Determine w(1). 7 Suppose -49*o + 39*o = 80. Let s(h) = 7*h**2 + 3*h + 2. Let z(n) = 6*n**2 + 4*n + 2. Let g(u) = -5*s(u) + 6*z(u). Calculate g(o). -6 Let n be (20/(-45)*-3)/((-6)/(-9)). Suppose 0*m + 2*m = -y + 8, -n*m + 4 = -y. Let j(l) = l - 10*l**3 + 28*l**3 - 2*l**y - 20*l**3. What is j(1)? -3 Let a(w) = 4*w + 23. Let o be 1620/189 + 4/(-7). Calculate a(o). 55 Suppose -2*r + 7 = 2*q + 3*r, -2*q - 2 = 2*r. Let j(t) be the first derivative of t**2 + 2*t - 9868. Calculate j(q). -6 Suppose -267*t = -269*t + 914. Let c = 452 - t. Let n(z) = -3*z**3 - 4 + 6*z**2 + 7*z**3 - 3*z**3 + 6*z. What is n(c)? -9 Let c(y) = -y**2 - 2*y + 6. Let k be (1 - 5) + (14 - 13). Give c(k). 3 Suppose 56 = -7*c + 4*p, 2*p - 3 - 31 = 4*c. Let b(f) = f**3 + 10*f**2 - 24*f + 20. Give b(c). 20 Let l(m) = -29 + 8 + 10 + 14 - 10*m. Let i be 10/(-4)*(-16)/(-10). Let b be -8 - i - 0 - -6. Determine l(b). -17 Let a(y) = 24*y + 38. Suppose 115618 = 17*s + 115652. Give a(s). -10 Let z(r) = -r**2 - 5*r + 2. Let g be ((-8)/(-10))/((-124)/1240). Determine z(g). -22 Let o(g) = -g**2 - 3*g + 10. Suppose -4*z = 2*w - 12, 34*w + 5*z - 6 = 33*w. Give o(w). -44 Let m(x) = x**2 + x. Let n(k) = 12*k**2 + 5*k + 1. Let z(f) = -4*m(f) + n(f). Let v = 0 + 2. Suppose -v*s + 1 - 3 = 0. Determine z(s). 8 Suppose -1210 - 1282 = -7*n. Let m = -356 + n. Let y(s) = s**3 - s**2 + 33. Give y(m). 33 Let r be 1 - (0 + -3 + 3 + -4). Let t(v) = 164*v**3 - r*v + 164*v**3 + 6*v**2 + 6 - 329*v**3. Give t(5). 6 Let f(k) = 2*k**2 - 4*k - 6. Let t = 1675 - 1675. Calculate f(t). -6 Let w(d) = 148*d - 619*d + 157*d + 155*d - 59 + 157*d + d**2. Give w(0). -59 Let j(u) be the third derivative of u**5/30 + 5*u**4/24 - 3*u**3/2 + u**2 + 1021. Calculate j(-8). 79 Let v(t) = 13455*t + 121099. Let f be v(-9). Let i(x) = 4*x**3 + 3*x - 10. Let w(j) = j + 0 - 3 + 2 - j**2 + j**3. Let a(p) = i(p) - 5*w(p). Calculate a(f). 3 Let z(b) be the first derivative of 2*b**2 - 1 + 4*b - 2*b**2 - 6*b**2 + 5*b**2. Let l be 3*(-42)/(-27) + (-8)/12. Calculate z(l). -4 Suppose 0*t + 5*t - 4*k = -1, t + 13 = 4*k. Let i(s) = 240*s**t - 488*s**3 - 5 + 249*s**3 + 6 + 12 + 3*s**2. Give i(-4). -3 Let m(n) = n**2 + 10*n + 18. Let z be m(-6). Let p(v) be the second derivative of -v**3/3 + 5*v**2/2 + 78*v. Determine p(z). 17 Let r(b) = -2*b**2 + b + 1. Let c(t) = -t**2 + 31*t + 22. Let u be c(14). Let d be u/(-325)*10/4. What is r(d)? -9 Let g = -4 - -7. Let n = -1443 + 1448. Let v(z) = -6*z + z + g + 4*z + n. Determine v(9). -1 Suppose i - 3*b + 9 = 0, 2*b = 5*i + b + 45. Let j(f) = 16*f + 138. Determine j(i). -6 Let r(g) be the second derivative of 13/2*g**2 - 1/6*g**3 + 16*g + 0. Let m(c) = 9*c - 53. Let y be m(7). Give r(y). 3 Let t(i) = i**2 + 12*i + 33. Suppose 9 = v + 1. Suppose -v*g - 18 = -5*g. Let n be t(g). Let l(c) = c**3 + 4*c**2 + 3*c + 1. What is l(n)? 1 Let b(v) be the first derivative of v**4/12 + v**3/2 + 31*v**2/2 - 3. Let k(a) be the second derivative of b(a). Give k(4). 11 Let p(q) = q - 2. Suppose -4*s + 14 = -2*s. Let z = -2 + s. Suppose 4*g - v = 22, -z = -g - 2*g - 5*v. Give p(g). 3 Let z(u) = u**2 - 4*u + 13. Let v be z(4). Suppose 4*n - 8*n - 4 = -4*m, -v = -3*m - 2*n. Let i(r) be the first derivative of -r**2/2 + r + 3. Calculate i(m). -2 Let v(d) = d**3 + 17*d**2 + 17*d + 11. Let r be v(-16). Let i(o) = o**2 + 5*o + 4. Let u be i(r). Let b(l) = l**2 - 3 + 6 - 4*l - 4. What is b(u)? -1 Let z(o) = -7*o**3 + 9*o**2 - 52*o - 36. Let p(m) = -6*m**3 + 11*m**2 - 43*m - 37. Let k(h) = -6*p(h) + 5*z(h). Give k(21). 0 Let a = 137 + -147. Let t(i) = -i**2 + 196 - 10*i - 196. What is t(a)? 0 Let v(t) be the second derivative of 5/2*t**2 + 23*t + 2 + 1/6*t**3. Let w = -8 + 5. Give v(w). 2 Let p = 21 + -12. Let d(w) = -15*w**3 - 8*w**2 - 11*w - 11. Let k(s) = -13*s**3 - 8*s**2 - 11*s - 8. Let r(j) = 7*d(j) - 8*k(j). Give r(p). 5 Let c(r) = -r**3 - 639 + 1238 - 8*r**2 - 605 - 2*r. Give c(-4). -62 Let o be (27 + -52)/(1 - -1 - 1). Let k = o - -19. Let q(g) = -g**3 - 6*g**2 - 2*g - 7. Determine q(k). 5 Let m(a) = a**3 + 7*a**2 - 5*a + 11. Let z = -3247 + 3239. Give m(z). -13 Suppose 0 = w - 5*n - 28, 14*w + 10 = 19*w + n. Let z(v) = -7 + 5*v**2 + v + 2442*v**3 + 0*v**2 - 2441*v**w. Calculate z(-5). -12 Let h = -16940 + 16912. Let v(x) = 3*x + 107. Give v(h). 23 Let w(c) = c**2 - 10*c + 7. Suppose 4*m - 31*h - 5 = -30*h, h + 5 = 3*m. Let o be -5 + -4*(-45)/12 + m. Determine w(o). 7 Let i(n) = -4*n**3 + 13*n**2 - 30*n - 30. Let c(q) = q**3 + 3*q. Let t(z) = 5*c(z) + i(z). What is t(-14)? -16 Let a(d) = -11*d**2 + 17*d**2 - 7*d**2. Let q(r) = r + r - 4*r - r**3 - 5*r**2 + 3*r. Let z(j) = 6*a(j) - q(j). Determine z(0). 0 Let k(t) be the second derivative of 9*t**2 + 1/12*t**4 + 7*t - 2 + 1/6*t**3. Give k(0). 18 Let x(b) = b - 137 - 134 + 414 - 3*b - 144. Suppose -2*m - 6 = 0, 4*i + 3*m + 5 = -0*m. Give x(i). -3 Let d be ((-72)/12)/(4/(-50)). Let f = d - 62. Suppose -10*r = -f*r - 18. Let u(t) = -t**3 - 7*t**2 - 6*t. What is u(r)? 0 Let n(h) = 775*h**2 - 247*h - 17. Let o(i) = -172*i**2 + 62*i + 4. Let z(d) = -2*n(d) - 9*o(d). Determine z(-32). -2 Let n(a) be the second derivative of 2*a**3/3 - 3*a**2/2 - 12*a - 781. Let y(t) = -t. Let o be y(-1). Give n(o). 1 Suppose -84*s + 171 - 469 = 206. Let u(y) = 4*y**2 + 25*y + 7. Determine u(s). 1 Let z = 17 - 10. Suppose n = -z*n. Suppose -8*p + 0 + 16 = n. Let s(j) = j**2 + 4*j - 3. What is s(p)? 9 Let o(d) be the first derivative of -7*d**2/2 + 60*d - 7929. Calculate o(9). -3 Let p = -5081 - -5102. Let l(t) = -t + 38. Determine l(p). 17 Let m(d) = 45*d - 110. Let j be m(8). Let r = 245 - j. Let p(w) = -w**2 - 8*w - 12. Determine p(r). 3 Suppose 0*t = -2*t, -3*t = -4*f + 852. Let x = f + -220. Let d(n) = -n**3 - 7*n**2 - 3*n + 10. What is d(x)? 31 Let h(b) = -2*b + 13. Suppose -7*o + 2*o = -4*i + 87, 4*o + 92 = 4*i. Let m be (i/(-3) - -6)*-3. What is h(m)? -7 Let g(i) = 73*i + 74. Let o(q) = 52*q + 49. Let h(f) = 5*g(f) - 7*o(f). Let w = -15 + 4. Give h(w). 16 Let i(w) = -w**2 - 5*w + 3. Let r be i(-5). Let y = -106 - -108. Let u(m) = 0 - 2 - m**r + 0 - 7*m**y - 7 - 2*m. Give u(-7). 5 Suppose -101 - 123 = -16*u. Let f(o) = 2*o - 20. Calculate f(u). 8 Let u(a) = -5*a - 10. Let f(k) = 9*k + 31. Let b(r) = -6*r - 21. Let t(p) = -7*b(p) - 5*f(p). Let c(w) = -3*t(w) + 2*u(w). Calculate c(-12). 16 Let a(x) = 297 - 599 - 92*x + x**2 + 284 + 77*x. What is a(19)? 58 Let y(h) = 7*h - 9. Let o be y(3). Let q = 77 + -68. Let n(j) = o - q - 5 - j. What is n(7)? -9 Let r(n) = 4*n**2 - 8*n + 60. Let j(o) = -5*o**2 + 8*o - 39. Let w(c) = -3*j(c) - 2*r(c). What is w(4)? 77 Let f(k) = -252*k**2 - 2*k + 3*k + 251*k**2. Let b(g) = 3*g**2 - 8*g + 5. Let w(d) = -b(d) - 2*f(d). Let h(c) be the first derivative of w(c). Give h(6). -6 Suppose -4*o = -5*a - 19, -189*a = -194*a + 2*o - 17. Let q(i) = i**2 - 38*i - 122. What is q(a)? 1 Let d(x) = -5*x**3 + 92*x**2 - 2*x + 6. Let z(r) = -9*r**3 + 161*r**2 - 2*r + 14. Let u(q) = 7*d(q) - 4*z(q). Determine u(3). -5 Suppose 5*q + 25 = b + 10*q, 0 = -4*b + 2*q - 10. Let x(a) = -2*a + 1. Let k be x(-1). Let h(y) = 1 - 6*y + 2*y + k*y + 2*y. What is h(b)? 1 Let h(w) = -5*w**2 - 5*w - 39. Let q(g) = -21*g**2 - 22*g - 169. Let t(r) = -26*h(r) + 6*q(r). Let k = -20 - -22. Determine t(k). 12 Let h(b) = 105*b + 8. Let t(y) = 578*y + 43. Let s(k) = -11*h(k) + 2*t(k). Determine s(-2). -4 Let q = 332 + -337. Let i be 1/7 - 192/(-28). Let m(j) = i + 7*j - 7 + j**2 + 7. Calculate m(q). -3 Let c(v) be the third derivative of v**6/40 + 17*v**5/30 - 11*v**4/12 + 7*v**3/2 + 2*v**2 -
{ "pile_set_name": "DM Mathematics" }
, 1585662? 2257407 What comes next: 132, 693, 1326, 2067, 2952, 4017? 5298 What comes next: -87222, -174057, -260888, -347715? -434538 What is the next term in -12674, -25186, -37696, -50204, -62710, -75214, -87716? -100216 What comes next: -1773037, -1773125, -1773201, -1773259, -1773293, -1773297, -1773265, -1773191? -1773069 What comes next: -388889, -777712, -1166519, -1555310? -1944085 What comes next: 2121, 1768, 1403, 1020, 613? 176 What is the next term in 433, 986, 1669, 2494, 3473, 4618, 5941? 7454 What is next in -49410, -81048, -112686? -144324 What is next in -1809, -5485, -9173, -12879, -16609, -20369, -24165, -28003? -31889 What is the next term in 1764, 7012, 15716, 27840, 43348, 62204, 84372? 109816 What is the next term in 3530, 9164, 18542, 31664? 48530 What comes next: 22566, 180651, 609766, 1445427, 2823150, 4878451? 7746846 What is next in 117289, 234766, 352243? 469720 What is next in 137461, 137535, 137603, 137665, 137721, 137771, 137815? 137853 What comes next: -1362710, -1362686, -1362652, -1362608, -1362554, -1362490, -1362416? -1362332 What is the next term in 9666, 18985, 28304? 37623 What is next in -60913, -121838, -182763, -243688, -304613? -365538 What comes next: -74991, -142096, -209201, -276306? -343411 What is the next term in 45462, 181915, 409350, 727767, 1137166, 1637547? 2228910 What is the next term in -33593, -32017, -30427, -28817, -27181, -25513, -23807? -22057 What comes next: -1101773, -1101818, -1101893, -1101998, -1102133, -1102298? -1102493 What comes next: 584, 5189, 17992, 43175, 84920? 147409 What is next in -21305, -85076, -191353, -340136, -531425, -765220? -1041521 What is the next term in 242965, 485960, 728929, 971860, 1214741? 1457560 What comes next: -1278367, -2556614, -3834861, -5113108, -6391355, -7669602? -8947849 What is the next term in 1092, 40947, 107368, 200349, 319884, 465967? 638592 What is next in 154658, 309299, 463940? 618581 What is the next term in 5472, 22822, 52050, 93156, 146140? 211002 What is the next term in 19398, 38760, 58122, 77484, 96846? 116208 What is the next term in -2243808, -4487643, -6731476, -8975307, -11219136, -13462963, -15706788? -17950611 What is next in 28642, 57261, 85880? 114499 What is the next term in 2088, 4176, 6266, 8358? 10452 What is the next term in 1672322, 3344626, 5016930? 6689234 What comes next: -68949137, -68949143, -68949159, -68949191, -68949245, -68949327? -68949443 What is the next term in 38696, 77850, 117004? 156158 What is next in 151, -172, -727, -1514, -2533? -3784 What comes next: -71807546, -71807547, -71807548, -71807549, -71807550, -71807551? -71807552 What comes next: -54279, -54319, -54359, -54399, -54439, -54479? -54519 What is the next term in 24014, 95982, 215928, 383852, 599754, 863634, 1175492? 1535328 What comes next: 7582, 30343, 68270, 121363, 189622? 273047 What is the next term in 27185, 27175, 27205, 27275, 27385, 27535, 27725? 27955 What is next in 7007, 5552, 3141, -226, -4549? -9828 What comes next: -975, -1875, -2799, -3747? -4719 What is the next term in 5078, 5268, 5582, 6020, 6582, 7268? 8078 What is next in 22814, 45695, 68584, 91487, 114410, 137359? 160340 What is the next term in -2578, -5042, -7448, -9796, -12086, -14318, -16492? -18608 What is next in 4212, 7816, 11420, 15024, 18628? 22232 What is next in -1371, 4146, 9663, 15180, 20697, 26214? 31731 What is the next term in -14767150, -29534246, -44301342, -59068438? -73835534 What comes next: 3972, 2342, -338, -4038, -8728? -14378 What is next in 35, -12, -521, -1846, -4341, -8360, -14257, -22386? -33101 What is next in -3070327, -3070325, -3070325, -3070327, -3070331, -3070337? -3070345 What comes next: -4600, -4727, -4938, -5233, -5612, -6075, -6622? -7253 What is the next term in -9154, -9633, -10508, -11773, -13422, -15449, -17848, -20613? -23738 What comes next: 350328, 2802525, 9458466, 22420023, 43789068, 75667473, 120157110? 179359851 What is the next term in 590, 2331, 5240, 9317, 14562, 20975, 28556? 37305 What is the next term in 343, 1204, 2079, 2974, 3895? 4848 What is next in -14979911, -14979903, -14979895, -14979887? -14979879 What comes next: -2554, -2376, -2198, -2020, -1842, -1664? -1486 What comes next: -24969, -49904, -74855, -99828, -124829, -149864, -174939? -200060 What is next in 4662, 12328, 23006, 36690, 53374, 73052, 95718, 121366? 149990 What is the next term in -2300, -4717, -7130, -9545, -11968, -14405, -16862, -19345? -21860 What comes next: 19125, 38252, 57379, 76506, 95633, 114760? 133887 What comes next: -73487806, -73487806, -73487818, -73487848, -73487902, -73487986, -73488106? -73488268 What is the next term in 449645, 449634, 449629, 449630, 449637, 449650? 449669 What is next in -80042917, -80042902, -80042871, -80042818, -80042737, -80042622, -80042467? -80042266 What comes next: 1667823, 3335642, 5003461, 6671280? 8339099 What is next in 596357913, 596357916, 596357931, 596357964, 596358021, 596358108, 596358231, 596358396? 596358609 What is next in 2279, 2193, 2117, 2057, 2019, 2009? 2033 What comes next: 6275, 14206, 22137? 30068 What comes next: 1805625, 3611339, 5417053, 7222767? 9028481 What is next in -702436, -702328, -702218, -702106, -701992, -701876, -701758? -701638 What is next in -3564141, -3564137, -3564125, -3564111, -3564101, -3564101, -3564117? -3564155 What comes next: -403, -641, -643, -403, 85? 827 What is next in -3910, -3993, -4136, -4339? -4602 What is next in 2428, 8647, 19026, 33577, 52312, 75243, 102382, 133741? 169332 What is the next term in 2888, 12218, 27992, 50210, 78872, 113978? 155528 What comes next: 16646, 65404, 146672, 260450, 406738, 585536? 796844 What comes next: 18171849, 18171731, 18171535, 18171261? 18170909 What comes next: -11110859, -11110858, -11110857, -11110856, -11110855, -11110854? -11110853 What is the next term in -22323341, -89293362, -200910063, -357173444? -558083505 What is next in -3860, -7562, -11132, -14570? -17876 What is next in -775302, -775313, -775324? -775335 What is next in 2203, 2153, -93, -4529, -11149, -19947? -30917 What is next in -31553696, -31553692, -31553688, -31553684? -31553680 What is the next term in 8648, 7800, 6952? 6104 What is the next term in 201855, 201857, 201861, 201867, 201875, 201885? 201897 What is next in -241969, -241946, -241887, -241774, -241589, -241314, -240931, -240422? -239769 What comes next: -31564, -126203, -283962, -504847, -788864? -1136019 What is next in 33093, 66772, 100439, 134094, 167737, 201368, 234987? 268594 What is next in -115686, -231464, -347242? -463020 What is next in -493132, -986183, -1479234, -1972285, -2465336? -2958387 What is next in 1067, 2156, 3275, 4430, 5627, 6872, 8171? 9530 What is the next term in 25166, 25499, 26056, 26837, 27842? 29071 What is next in -360742, -360588, -360310, -359890, -359310, -358552, -357598? -356430 What comes next: 1929, 2108, 2577, 3474, 4937? 7104 What is next in 443, 1946, 5999, 13880, 26867, 46238, 73271, 109244? 155435 What comes next: -206704, -206712, -206720, -206728, -206736, -206744? -206752 What is the next term in 27983649, 27983648, 27983647, 27983646? 27983645 What comes next: 11302, 20674, 36272, 58090, 86122? 120362 What comes next: 5050, 5164, 5314, 5506, 5746, 6040, 6394, 6814? 7306 What comes next: 10490931, 10490873, 10490805, 10490721, 10490615? 10490481 What is the next term in -5830154, -11660310, -17490466, -23320622, -29150778? -34980934 What is next in -130733, -261368, -391989, -522590, -653165? -783708 What comes next: -270, 224, 1486, 3516, 6314, 9880? 14214 What comes next: -49810, -99851, -149822, -199687, -249410, -298955? -348286 What comes next: -96755, -386334, -868967, -1544654, -2413395, -3475190, -4730039? -6177942 What is the next term in 15367, 29939, 44509, 59077? 73643 What is next in 2186232, 4372424, 6558576, 8744688, 10930760, 13116792? 15302784 What is the next term in -11051, -89090, -301023, -713798, -1394363, -2409666, -3826655? -5712278 What is next in 6495, 13179, 20225, 27813, 36123, 45335, 55629? 67185 What is the next term in -40715212, -40715211, -40715210, -40715209, -40715208, -40715207? -40715206 What is the next term in -11371, -11405, -11439, -11473? -11507 What comes next: -122299,
{ "pile_set_name": "DM Mathematics" }
1340. Let h = -72/335 + t. Calculate the common denominator of h and 51/14. 140 Let k = -1/2 - -49/22. What is the common denominator of 27/10 and k? 110 Suppose -h + 0*h + 18 = c, 0 = -5*h + 4*c + 126. Find the common denominator of 133/6 and h. 6 Suppose -5*d + 113 = 4*g, 2*g - d - 30 = 37. Calculate the smallest common multiple of -2*(-2)/(-10)*-30 and g. 96 Let z be 1*(18 - 3) - 0. Calculate the common denominator of (24/1)/(50/z) and 17/3. 15 Suppose 0 = 5*h - 11 - 4. Let s = 6 - h. Suppose -s*p + 87 = 4*k, 2*k - 4 = -p + 37. Calculate the least common multiple of 16 and k. 144 Calculate the lowest common multiple of 18/15*20/3 and 18. 72 Let c(n) = n + 6. What is the lowest common multiple of c(-4) and 12? 12 Suppose -2*c - 28 = -4*c. What is the least common multiple of c and 11? 154 Let o(f) = f**3 - 8*f**2 + 8*f. Suppose 0 = 2*l - l + t - 6, 0 = -l - 4*t + 3. Let r = 16 + -9. What is the smallest common multiple of r and o(l)? 7 Let o(l) = -6*l - 5. Let q be o(-5). Let y = -15 + q. Calculate the lowest common multiple of 5 and y. 10 Suppose -8 = -m - 2*y - 2*y, -4*m - 4*y + 44 = 0. Let k = 0 - 0. Suppose k = 3*b - 6 - m. What is the smallest common multiple of b and 2? 6 Let o be 6*3/(36/8). Suppose 2*f = o*f - 22. What is the least common multiple of f and 7? 77 Let c = 9 + -2. Let u be 2 - ((-11669)/(-720))/c. Let r = u + 1/360. What is the common denominator of 33/2 and r? 16 Let j = -50 + 70. Suppose -o + 2 = -j. What is the lowest common multiple of 2 and o? 22 Suppose 5*o + 171 = 11. Suppose 4*s - 144 = s. Let p = s + o. Calculate the lowest common multiple of 20 and p. 80 Suppose -d = 4*d - 5, 3*g + 5*d = 32. Calculate the least common multiple of g and 9. 9 Let z = 95/492 - -16/41. Let f = 7 - 9. Calculate the common denominator of z and (-27)/60 + 1*f. 60 Let u = 19 - 13. Let b = 69 - 51. What is the lowest common multiple of b and u? 18 Let v = -4 - -6. What is the smallest common multiple of 28 and v? 28 Let m = 233/6 - 154/3. Calculate the common denominator of 41/11 and m. 22 Suppose 0 = -3*o + 6, -4*h + 14 = -3*o - 2*o. What is the lowest common multiple of h and 5? 30 Suppose -3*n + n + 180 = 3*r, 5*r = -2*n + 188. Calculate the common denominator of 6*((-39)/n + 1) and -73/2. 14 Let p = 1723292/271 - 6359. Let w = p - -4601/542. Find the common denominator of -55/16 and w. 16 Suppose t - 4 = -4*t - 4*y, 0 = -t + 3*y + 16. Suppose -t*p = d + 17, -2*p = 3*d - 6*p - 29. Calculate the least common multiple of 6 and d. 6 Suppose 6*b - 3*b = 5*u - 4, -4*b + 16 = 4*u. What is the smallest common multiple of 16 and b? 16 Let w = 473 - 1394/3. What is the common denominator of w and ((-27)/30)/((-12)/(-170))? 12 Let p = -2764/2343 - -38/33. Let s = p - -659/710. Calculate the common denominator of -34/11 and s. 110 Let y = -3588 + 57431/16. What is the common denominator of y and -35/12? 48 Let f = -9865 + 157897/16. What is the common denominator of 34/5 and f? 80 Let a be 207*(0 + 291/36). Let o = -1684 + a. Calculate the common denominator of o and -2*47/4 - 2. 4 Let w = -108 + 150. Calculate the smallest common multiple of 2 and w. 42 Suppose -4*f + 1028 = 164. Calculate the lowest common multiple of 12 and f. 216 Let y be (-3)/6*0/(-3). Suppose y = -2*m + 5*m - 3. What is the least common multiple of ((-6)/(-5))/(m/5) and 4? 12 Let h = 1801/1130 + 12/113. Suppose 556 = 6*t - 2*t. What is the common denominator of t/12 + 2 + -2 and h? 60 Let n(o) = o**3 + 9*o**2 + 7*o - 1. Let l be n(-8). Suppose f - 2*f = -l. Let g(p) = p**2 - p + 5. Calculate the smallest common multiple of g(0) and f. 35 Suppose -3*m + 6*m = 3*z + 45, -51 = -5*m - 3*z. Let l = 19 + -1. Calculate the smallest common multiple of m and l. 36 Let h = -10 - -19. What is the least common multiple of 31 and h? 279 Find the common denominator of -101/16 and 37/16 - 17/(-51). 48 Let b = 4882/11 - 78893/176. Calculate the common denominator of b and 3/(-5) - (-564)/40. 16 Let k = 16 - 6. Suppose -2*g - 7 = -4*x + 37, 5*x = 3*g + 61. Calculate the least common multiple of k and (-67)/(-6) + 2/g. 110 Let k be (-4)/10 - (-4)/10. Suppose k*d - t = -5*d + 24, 0 = 4*d + 5*t - 25. What is the smallest common multiple of 5 and d? 5 Suppose 3*v + 4*c = 106, c - 73 = -2*v - 4*c. What is the least common multiple of 14 and v? 238 Let z = 439381/5 - 3445883/40. Let r = -1738 + z. Find the common denominator of -93/10 and r. 40 Let w = -76/249 + -2809/2490. Find the common denominator of w and -69/4. 60 Calculate the smallest common multiple of ((-14)/(-3))/((-1)/(-3)) and 23/((-23)/(-6)) + 8. 14 Let x = 8040/13 + -24073/39. What is the common denominator of -41/11 and x? 429 Let z = -273 + 2135/8. What is the common denominator of 91/4 and z? 8 Let d(o) = -o**3 - 8*o**2 - 2*o - 4. Let s = 19 - 3. Calculate the lowest common multiple of s and d(-8). 48 Let c(k) = -628*k - 2. Let t be c(2). Let d be t/(-6)*(-162)/(-24). Let z = d + -1425. Calculate the common denominator of z and 47/18. 36 Suppose 2*r - 37 - 5 = u, 3*r = 2*u + 83. Calculate the common denominator of 62/9 and 2/(-8) - (-38)/u. 45 Let x(z) = 8*z**3. Let k be x(1). Suppose 3*w - k = -2*j, -3*j + 6 = -3*w - 6. Suppose -8*n + 65 = -47. Calculate the lowest common multiple of n and j. 28 Let h(u) = -3*u**2 + u + 4. Let b(m) = m**2 - 1. Let n(x) = -8*b(x) - 3*h(x). Calculate the least common multiple of 12 and n(-3). 84 Let w = 269879 + -1610537/6. Let r = -1446 + w. What is the common denominator of 37/2 and r? 6 Suppose 3*r + 4*u = 16, r + u - 3 = 3. Let n = -105 + 127. Calculate the least common multiple of r and n. 88 Let i(k) = k**2 + 6*k + 4. What is the smallest common multiple of 20 and i(-6)? 20 Let l(d) = d**3 - 17*d**2 + 31*d - 1. What is the smallest common multiple of 30 and l(15)? 210 Let v be (-1)/(5/90*3). Let j be 18*1*(-2 - 2). What is the common denominator of 41/9 and 471/j - 4/v? 72 Let t(y) = -3*y**3 - 5*y**2 - 3*y - 3. Let r be t(-2). Let w = r + -2. Calculate the least common multiple of 15 and w. 15 Suppose 0 = c - 5*u - 24, 0 = u - 3*u - 4. Suppose -3*l + n + n = -c, -4*l + 20 = -3*n. Calculate the lowest common multiple of 4 and l. 4 What is the least common multiple of 27 and -2 + (10 - 5) - 0/3? 27 Let o = 43705/6 - 7262. Find the common denominator of o and -119/20. 60 Let t = -130 - -151. Calculate the smallest common multiple of t and 24. 168 Suppose 6 = v + 3*q, 4*v - v + 30 = 3*q. Calculate the common denominator of (5/18)/(-1) - 0 and (1/v)/(2/(-214)). 18 Let c = 362/63 - 2987/1386. What is the common denominator of (-3522)/1320 - 2/11 and c? 220 Let l be (4/(-14))/((-5)/35). Suppose l*u - 5 = u. Let m = u + -4. What is the lowest common multiple of 2 and m? 2 Suppose 4 = -5*c + 154. Calculate the lowest common multiple of c and 3. 30 Let o(m) = m**3 - 2*m**2 - 3*m + 2. Let t be o(3). What is the common denominator of (-3)/(-6)*5*(-77)/20 and t/(-25)*1130/(-8)? 40 Let s = -540769443/6943 - -77887. Let v = 277702/62487 - s. Let p = -2/945 - 424/135. Calculate the common denominator of v and p. 63 Let o = -1924 - -30761/16. Let x be (-6)/9 - 510514/36. Let h = x - -14186. Calculate the common denominator of o and h. 144 Let o = -3028805/2737370339 - 1/505703. Let j = 137634804503/472230120 + -4877731/17448. Let z = j - o. Find the common denominator of z and -31/2. 10 Let k = -75 + 113. Suppose 4*m - 100 = -m. Calculate the least common multiple of k and m. 380 Let q = -170 - -119. Let y = q + 73. Suppose -17 = -2*z - 0*z - o, -4*o - y = -z. Calculate the lowest common multiple of 20 and z. 20 Let b = -32 + 65/2. Calculate the common denominator of b and 13/5. 10 Let j be (2 + 1)/(-7 + 8). Find the common denominator of (-717)/90 - 1/j and 3/(-12)*(-31)/(-4). 80 Let v = 2/6977 - -509301/69770. Calculate the common denominator of (-32)/16 + 65/12 and v. 60 Let z(p) = -461*p - 9. Let w be z(-6). Let t be w/(-1)*(-2 + 1). Let i = 33035/12 - t. What is the common denominator of i and -31/14? 84 Let b(o) = 0*o + 4*o**2 - 11*o - 5*o**2 - 2. What is the smallest common multiple of b(-9) and 8? 16 Let b = -32999/16 - -2061. Calculate the common denominator of -24 and b. 16 Let v = -1754160011/9777 + 179417. Let m = -1390794013320212/48885 - -28450322445. Let q = v + m. Calculate the commo
{ "pile_set_name": "DM Mathematics" }
*n**2. 8*n**2 Collect the terms in 0*z**2 - 2*z**2 + 5*z + 13*z + z. -2*z**2 + 19*z Collect the terms in -f**2 + 64*f**2 - 62*f**2 - 1449*f**3. -1449*f**3 + f**2 Collect the terms in 674*t**3 + 893*t**3 - 157*t**3. 1410*t**3 Collect the terms in 2500*c**3 + 2488*c**3 + 2493*c**3 + 0*c + 0*c - 7483*c**3. -2*c**3 Collect the terms in 5*a - 156*a**2 + 791*a**2 - 180*a**2 - 5*a. 455*a**2 Collect the terms in -80*t - t**2 + 312*t + 14*t**2 - t**2. 12*t**2 + 232*t Collect the terms in 44*k - 97*k - 678 + 54*k. k - 678 Collect the terms in -4*d**3 + 111653628 - 111653628. -4*d**3 Collect the terms in 3919*b - 983*b - 982*b + 2*b**3 - 978*b - 976*b. 2*b**3 Collect the terms in 10*z + 6*z + 663*z**3 - 661*z**3. 2*z**3 + 16*z Collect the terms in -23*t**2 - 28*t**2 + 21*t**2. -30*t**2 Collect the terms in -8*o**2 + 76*o - 12*o - 64*o - 2*o**2 - 2*o**2. -12*o**2 Collect the terms in -41*o**2 + 162*o**2 - 32*o**2 - 33*o**2 - 41*o**2. 15*o**2 Collect the terms in -4925 - t**3 - 7*t + 7*t + 247. -t**3 - 4678 Collect the terms in 96*g**3 - 46*g**3 - 164*g**3 - 32*g**3. -146*g**3 Collect the terms in -22*s**2 - 194*s**2 + 18*s**2 + 11*s - 2*s. -198*s**2 + 9*s Collect the terms in 34*f**3 + 20224*f - 20233*f - 32*f**3. 2*f**3 - 9*f Collect the terms in 238*b**2 - 6 + 1 - 244*b**2 + 5. -6*b**2 Collect the terms in -1937076 + 1937076 + 171*m - 68*m. 103*m Collect the terms in -73*f**2 - 14 + 12 + 73*f**2 - 94*f**3. -94*f**3 - 2 Collect the terms in -15 + 15 - 1796*h**2 + 1720*h**2. -76*h**2 Collect the terms in -1908*v**2 - 1865*v**2 + 14*v**3 + 3773*v**2. 14*v**3 Collect the terms in 863791 - 863791 + 22*o. 22*o Collect the terms in 27*o**3 - 52*o**3 - 6*o**3 - 7*o**3. -38*o**3 Collect the terms in 289*z**3 - 1591*z**3 - 313*z**2 + 313*z**2. -1302*z**3 Collect the terms in -3041*g**2 - 16*g**3 + 1520*g**2 + 1521*g**2. -16*g**3 Collect the terms in 6*u + 13*u + 39*u**2 - 5*u - 14*u. 39*u**2 Collect the terms in 9587 + 8*m**2 - 4759 - 4828. 8*m**2 Collect the terms in 12*w + 423*w**3 + 8*w - 21*w. 423*w**3 - w Collect the terms in 10*y**2 + 10*y - y**2 - 7*y**2. 2*y**2 + 10*y Collect the terms in 134*f**2 + 410*f**2 - 707*f**2 + 164*f**2. f**2 Collect the terms in 7729*l - 16543*l - 6236*l. -15050*l Collect the terms in 56942*q - 113862*q + 56913*q. -7*q Collect the terms in -1248514176 + 1248514176 + 3*g. 3*g Collect the terms in -9 + 6 + 2980*s**2 + 3 - 2982*s**2. -2*s**2 Collect the terms in -7 + 1232*y**3 + 7 - 1218*y**3. 14*y**3 Collect the terms in -7*u + 39*u - 1 - 65*u + 29*u. -4*u - 1 Collect the terms in 19 - 4*c + 15 - 126 - 106. -4*c - 198 Collect the terms in -2*t + 25*t - 122*t**2 - 23*t + 131*t**2. 9*t**2 Collect the terms in -1042*o**3 - 1043*o**3 + 2087*o**3. 2*o**3 Collect the terms in -33 - 886*a - 883*a + 1781*a. 12*a - 33 Collect the terms in 1 + 0 + 30*y - 23*y - 6 + 5. 7*y Collect the terms in 2126629*v + 36*v**3 - 2126629*v. 36*v**3 Collect the terms in 52*d**3 - 171*d**3 + 31*d**3 + 549*d**3. 461*d**3 Collect the terms in 170813*j**2 + 4 - 341631*j**2 + 170815*j**2. -3*j**2 + 4 Collect the terms in -103863*j**3 + 103864*j**3 - 66 + 66. j**3 Collect the terms in 13291*g**3 + 13297*g**3 - 26590*g**3. -2*g**3 Collect the terms in 23 - 86*w - 91*w + 176*w. -w + 23 Collect the terms in -2*v**2 - 9*v + 21*v - 4*v**2 + 5*v**2. -v**2 + 12*v Collect the terms in 2*p - 4 - 2*p + 3*p + 2 - 2*p. p - 2 Collect the terms in -46*u - 3 + 4 + 234*u + 95*u + 138*u. 421*u + 1 Collect the terms in 7*s**2 - 11 + 12*s**2 + 18*s**2 + 9*s**2 - 52*s**2. -6*s**2 - 11 Collect the terms in -293607 - k - 3*k + 293609. -4*k + 2 Collect the terms in 98*u**3 + 97*u**3 + 69*u**3. 264*u**3 Collect the terms in 31*a**3 - 14*a**3 - 9*a**3 - 11*a**3. -3*a**3 Collect the terms in -25*k + 43*k**3 + 6*k**3 + 17*k. 49*k**3 - 8*k Collect the terms in 4450*y**2 + 10*y - 654*y**2 - 10*y. 3796*y**2 Collect the terms in -1005*q**2 + 481*q**2 + 501*q**2. -23*q**2 Collect the terms in -36*r - 86*r - 51*r + 25*r. -148*r Collect the terms in -2*q - 23*q**2 - 11*q**2 - 13*q**2 + 8*q - 8*q. -47*q**2 - 2*q Collect the terms in 0*o**3 - 173 - 98*o + 42 + 98*o + o**3. o**3 - 131 Collect the terms in -7 - 4*x - 23 - 5*x. -9*x - 30 Collect the terms in 13*y + 46 + 48 - 139 + 45. 13*y Collect the terms in -136*p - 41*p + 38*p + 20*p - 156*p. -275*p Collect the terms in -101*l**3 - 254*l**3 + 51*l**3 - 54*l**3. -358*l**3 Collect the terms in -189*a**3 - 171*a**3 - 611*a**3. -971*a**3 Collect the terms in 50*a**3 - 215*a**2 + 1101*a**2 - 51*a**3 + 251*a**2. -a**3 + 1137*a**2 Collect the terms in -878*g**2 + 525*g**2 + 346*g**2. -7*g**2 Collect the terms in -3*d**3 + 2025715*d + 2025748*d - 4051463*d. -3*d**3 Collect the terms in -606*h - 591*h - 1056*h + 255*h. -1998*h Collect the terms in -386*w + 196*w - 98 - 86 + 189*w. -w - 184 Collect the terms in 40*d**3 + 52*d**3 - 96*d**3 + 6*d**3. 2*d**3 Collect the terms in 624*d**3 - 234*d**3 - 175*d**3 - 232*d**3. -17*d**3 Collect the terms in -638 - 6*z - 646 + 1284. -6*z Collect the terms in -45*z**2 - 5*z**3 + 104*z**2 - 59*z**2. -5*z**3 Collect the terms in 553*t**3 + 546*t**3 - 1639*t**3 + 556*t**3. 16*t**3 Collect the terms in 12789*h + 12767*h - 25568*h. -12*h Collect the terms in 407*v**2 + 1 + 1 - 2. 407*v**2 Collect the terms in -7*y + 31*y - 14*y + 47*y. 57*y Collect the terms in -19 + 87*h + 19 + 258*h. 345*h Collect the terms in -2*w**3 + 3*w**3 - 7883603*w + 7883603*w. w**3 Collect the terms in -63*n**3 - 22*n**3 - 35*n**3 + 121*n**3. n**3 Collect the terms in j**2 - 15*j**2 + 0*j**2 + 3*j - 4*j + 13*j**2. -j**2 - j Collect the terms in 2*j - 156714 + 156714 - 51*j**3. -51*j**3 + 2*j Collect the terms in -b + b - 178149*b**3 - 5*b + 178148*b**3 + 5*b. -b**3 Collect the terms in -5 - 6599*t**2 + 6597*t**2 + 2 + 3. -2*t**2 Collect the terms in -12*i - 21*i + 37*i - i**2. -i**2 + 4*i Collect the terms in -915*i**2 - 3517*i**2 - 655*i**2. -5087*i**2 Collect the terms in 3097*r + 852*r + 5164*r. 9113*r Collect the terms in 720 + 55*b - 30*b - 723. 25*b - 3 Collect the terms in -78 - 279174*y**2 - 2*y**3 + 279174*y**2 - 58 + 136. -2*y**3 Collect the terms in -8*l**3 + l**3 - 15*l**3 + l - 135. -22*l**3 + l - 135 Collect the terms in 5*y**2 - 7*y**2 - 7*y**2 - 2826*y + 2827*y. -9*y**2 + y Collect the terms in -3 + 3 - 20440*p. -20440*p Collect the terms in 1936*a**3 + 4*a**2 - a**2 - 3*a**2. 1936*a**3 Collect the terms in -16*i - 18*i - 18*i - 37*i + 93*i. 4*i Collect the terms in 53440766*c**2 + 2 - 53440767*c**2 - 2. -c**2 Collect the terms in 68*m - 36*m + 2275*m**2 - 32*m. 2275*m**2 Collect the terms in -2*b**3 + 2581443 - 1290717 - 1290726. -2*b**3 Collect the terms in -11*u - 77*u**2 + 2 + 11*u + 157*u**2 - 82*u**2 - 10. -2*u**2 - 8 Collect the terms in 2*x + 1 - 3 - 5*x + 6*x + 2. 3*x Collect the terms in 11*z**2 - 11*z**2 - 171*z**3 + 172*z**3. z**3 Collect the terms in -2031*p**3 - 2408*p**3 - 221*p**3. -4660*p**3 Collect the terms in -313*a**3 + 316*a**3 + 1636 - 1636. 3*a**3 Collect the terms in 2135 - 10*u**2 - 3*u + 4554 + 6*u. -10*u**2 + 3*u + 6689 Collect the terms in -215*k - 9*k**3 + 109*k + 106*k. -9*k**3 Collect the terms in -3931 + 17*y**3 + 3931. 17*y**3 Collect the terms in 1 + 94*w**3 - w - 1 - 93*w**3. w**3 - w Collect the terms in -21*z + 7*z - 43 - 22*z + 1. -36*z - 42 Collect the terms in 64*o**2 - 291*o**2 + 133*o**2 + 2*o. -94*o**2 + 2*o Collect the terms in -57221*s**3 + 123676*s**3 + 75040*s**3. 141495*s**3 Collect the terms in -3*a - 9*a**3 - 5*a**3 - 46*a**3. -60*a**3 - 3*a Collect the terms in -20*g + 16*g**2 + 10*g**2 + 17*g**2 - 8*g - 42*g**2 - 7*g. g**2 - 35*g Collect the terms in 0 + 8*r + 18 + 68. 8*r + 86 Collect the terms in 55809 - 55809 - 143*j**2. -143*j**2 Collect the terms in 51*r - 109*r + 8*r. -50*r Collect the terms in -976591 + 976591 - 29*b. -29*b Collect the terms in -16*m**3 + 14*m**3 - 27890*m + 55783*m - 27893*m. -2*m**3 Collect the terms in -1118 + 78*z + 1118. 78*z Collect the terms in -19*q**2 + 34*q**2 - 27*q**2 + 5*q**2. -7*q**2 Collect the terms in 8*k**2 - 86*k**3 - 8*k**2 + 43*k**3 + 38*k**3. -5*k**3 Collect the terms in 35 + 15 - 2*g - 26 - 24. -2*g Collect the terms in -25*r**3 + 265*r**3 + 40*r**3 + 35*r**3. 315*r**3 Collect the terms in -22*w - 3 - 25*w - 26*w + 79*w. 6*w -
{ "pile_set_name": "DM Mathematics" }
ms in 53*h**3 + 52*h**2 + 4*h**2 - 110*h**3 + 56*h**3 + h. -h**3 + 56*h**2 + h Collect the terms in -61960*v + 498*v**2 - 61964*v - 61843*v - 496*v**2 + 185767*v. 2*v**2 Collect the terms in 256 - 553 + 295 - 71*c. -71*c - 2 Collect the terms in 123870*z - 247180*z + 123640*z. 330*z Collect the terms in 93*f - 842*f - 118*f + 2. -867*f + 2 Collect the terms in -1080*u + 1082*u - 1008 + 953. 2*u - 55 Collect the terms in -75636*j - 75648*j - 75578*j - 75611*j + 302401*j. -72*j Collect the terms in 165 - 3*p + 29 + 148 - 24 - 60. -3*p + 258 Collect the terms in -25 + 832*h - 25 - 5 + 1 + 80. 832*h + 26 Collect the terms in 7564 - 2894 - 16*p - 2892 - 2894 - 68*p + 1116. -84*p Collect the terms in -131*y - 15*y - 30*y - 101*y + 50*y. -227*y Collect the terms in 1138*s + 1052*s - 4272*s + 1077*s + 1059*s. 54*s Collect the terms in -13361*x - 13396*x - 183*x**3 + 26757*x. -183*x**3 Collect the terms in -33 - 28 + 8 + 386*n - 770*n + 389*n. 5*n - 53 Collect the terms in -1143*t + 799 - 380 - 333*t - 419. -1476*t Collect the terms in 2189*y - 407*y + 413*y - 328*y + 1565*y. 3432*y Collect the terms in 0*w**2 + 0*w**2 + 1439*w**3 - 444*w**3 - 500*w**3 - 503*w**3. -8*w**3 Collect the terms in 93*h - 7*h**3 + 2*h**3 + 3732 + 2*h**3. -3*h**3 + 93*h + 3732 Collect the terms in 2090*d - 884*d**2 - 904*d - 1188*d. -884*d**2 - 2*d Collect the terms in -64 - 4*n**3 + 13*n**3 + 65 - 6*n**3 + 0*n**3. 3*n**3 + 1 Collect the terms in -14 + 3 + l**2 - 15 - 10 - 10 - 16 + 42. l**2 - 20 Collect the terms in 659448*v - 92305*v + 628302*v - 66424*v. 1129021*v Collect the terms in -25*j**3 + 1465419*j**2 - 1465420*j**2 - 3*j**3. -28*j**3 - j**2 Collect the terms in 1391*y + 22 + 1390*y + 1384*y - 1 - 4163*y - 13 - 8. 2*y Collect the terms in -13*g**2 + 19*g + 14*g**2 - 28*g - 26*g. g**2 - 35*g Collect the terms in 5*o + 1681*o**2 - 209*o**2 + 1344*o**2 - 324. 2816*o**2 + 5*o - 324 Collect the terms in -264818*s**3 - 1156601*s**3 + 23*s + 14*s. -1421419*s**3 + 37*s Collect the terms in -2268 + 11300 - 6*c - 2259 - 2256 - 2257 - 2260. -6*c Collect the terms in -6946*n**3 + 6958*n**3 - 307388 + 307388. 12*n**3 Collect the terms in -528794070*t**3 + t**2 + 528792479*t**3 - t**2. -1591*t**3 Collect the terms in -941*x**3 - 10*x**2 - 334*x**3 + 2579*x**3 + 10*x**2. 1304*x**3 Collect the terms in -204550*y**2 - 114088*y + 114088*y + 31639*y**2. -172911*y**2 Collect the terms in 5 - 6 - 2 - 16 + 190*v - 95*v - 99*v. -4*v - 19 Collect the terms in -189039832*z + 189039834*z + 2 + 8. 2*z + 10 Collect the terms in -16856*c**2 - 27*c + 27*c + 17110*c**2. 254*c**2 Collect the terms in -6*u - 18*u - 608 + 17*u + 288 + 320. -7*u Collect the terms in 18*p**3 + 24*p**3 - 80*p**3 - 16 + 16 + 20*p**3. -18*p**3 Collect the terms in 3757374*c**3 - 218*c**2 + 218*c**2. 3757374*c**3 Collect the terms in 8*x**2 + 581*x + 10103 - 292*x - 289*x. 8*x**2 + 10103 Collect the terms in 20058*k + 20004*k - 79906*k + 20048*k + 20069*k. 273*k Collect the terms in 104404 + 944674*o - 104404. 944674*o Collect the terms in -2*r + 67161767604*r**2 + 2*r - 67161767604*r**2 + 34*r**3. 34*r**3 Collect the terms in -1 - 6163*b - 5036*b + 11236*b. 37*b - 1 Collect the terms in 1 - 1 + 2899659453*w**3 - 2899657965*w**3. 1488*w**3 Collect the terms in -6337*f**2 + 26 + 249*f**2 - 26. -6088*f**2 Collect the terms in 7372*d**3 - 7 - 442*d + 7 + 442*d. 7372*d**3 Collect the terms in 434*v - 20070*v + 3801*v - 8792*v - 31319*v. -55946*v Collect the terms in 5087 - 5087 - 3388*j + 2154*j + 24440*j. 23206*j Collect the terms in -12*z**3 + 14*z**3 - 18*z**3 + 12*z**3 - 80941*z + 80923*z. -4*z**3 - 18*z Collect the terms in 19450 - 4*m + 6*m - 19842 - 33150. 2*m - 33542 Collect the terms in -572*q**2 + 1085*q**2 + 1226*q**2. 1739*q**2 Collect the terms in 117*t - 76 + 2*t + 4*t - 122*t - 13 - 3*t. -2*t - 89 Collect the terms in -26*l**2 + 5*l**2 + 14*l**2 - 10*l**3 + 126*l**3. 116*l**3 - 7*l**2 Collect the terms in 8552*p + 8597*p + 8551*p - 25557*p. 143*p Collect the terms in -954*h - 92*h + 945*h + 1. -101*h + 1 Collect the terms in -1 + 4 - 6 - 154042*m. -154042*m - 3 Collect the terms in 7*g**3 + 32 - 2082*g**2 + 120 - 525*g**2. 7*g**3 - 2607*g**2 + 152 Collect the terms in -419630 + 242749 + 8*s**3 + 176881. 8*s**3 Collect the terms in 17*l - 1051125225 + 1051125225. 17*l Collect the terms in n**2 + 386 + 269 + 91 - 170 - 3*n**2. -2*n**2 + 576 Collect the terms in -1867*m + 2862*m + 2039*m. 3034*m Collect the terms in -219*c**2 + 435*c**2 + 2692*c - 205*c**2. 11*c**2 + 2692*c Collect the terms in 16056*w**2 + 15013*w**2 + 45808*w**2 + 247044*w**2. 323921*w**2 Collect the terms in -1404*x**2 + 1407*x**2 + 2 - 5 + 42*x - 42*x + 0. 3*x**2 - 3 Collect the terms in 229854087*p**3 + 34 - 613 - 229854088*p**3. -p**3 - 579 Collect the terms in 295*x**2 - 285 + 100 + 105 + 80 - 387*x**2. -92*x**2 Collect the terms in 3745*m**2 - 7487*m**2 + 350*m**3 - 1118*m**3 + 3742*m**2. -768*m**3 Collect the terms in 826363*n - 413202*n - 413198*n. -37*n Collect the terms in 5*b**3 + 70166*b + 70164*b + 70154*b - 2*b**3 - 210484*b. 3*b**3 Collect the terms in -249*u - 252*u - 37*u**2 - 70*u**2 + 501*u + 46*u**2 + 49*u**2. -12*u**2 Collect the terms in -38*l + 3520*l**3 + l - 1759*l**3 - 1760*l**3 + 66. l**3 - 37*l + 66 Collect the terms in -34 - 9 + 9 + 18 + 16 + b - 6*b. -5*b Collect the terms in 144160 + 80*z**3 - 144160. 80*z**3 Collect the terms in -7 + 9 - 64*d - 8*d - 28*d + 12*d - 76*d - 2*d**2. -2*d**2 - 164*d + 2 Collect the terms in -1439*z + 47 + 67 + 58 - 234 + 62. -1439*z Collect the terms in 744 - 88*m - 755 - 55*m. -143*m - 11 Collect the terms in -1497*d**2 - 1873*d**2 + 738*d**2 - 2017*d**2. -4649*d**2 Collect the terms in 158192*c**2 + 127542*c**2 - 102297*c**2 + 61560*c**2. 244997*c**2 Collect the terms in p - 47923*p**3 + p + 47924*p**3 - 314 - 2*p - 9*p**2. p**3 - 9*p**2 - 314 Collect the terms in -2002*i**2 - 730*i**2 + 2740*i**2. 8*i**2 Collect the terms in -15*b - 4*b + 2*b**2 + 19*b + 1 - 1070*b**3. -1070*b**3 + 2*b**2 + 1 Collect the terms in 13401*a + 13402*a - 27237*a. -434*a Collect the terms in -233*s - 1457 - 897 + 2354 + 1247*s. 1014*s Collect the terms in 10118*i**2 + 15420*i**2 + 19070*i**2 - 5574*i**2 - 7743*i**2. 31291*i**2 Collect the terms in -982*u**2 + 3882*u**2 - 1433*u**2 - 1466*u**2. u**2 Collect the terms in 55 - 22 - 33 - 21808*z. -21808*z Collect the terms in 11*h**2 + 51*h**2 + 101*h**2 - 74424*h + 37215*h + 37209*h. 163*h**2 Collect the terms in -192*q - 29*q**2 - 136*q - 50*q**2. -79*q**2 - 328*q Collect the terms in 523*q**2 - 15*q - 171*q + 186*q. 523*q**2 Collect the terms in 7950050 - 15900095 + 13*t**3 + 7950045. 13*t**3 Collect the terms in 341355*r - 791073*r + 2575035*r + 1259394*r. 3384711*r Collect the terms in -10*b**3 + 6*b**2 + b**3 + 182*b + 1 - 2*b**2 + 224*b. -9*b**3 + 4*b**2 + 406*b + 1 Collect the terms in 1393966*v**3 + 8*v**2 - 11*v + 11*v - 1393928*v**3 - 6*v**2. 38*v**3 + 2*v**2 Collect the terms in -5358*s**3 + 419*s**3 + 1065*s**3. -3874*s**3 Collect the terms in 708 + 2534*u - 355 - 353 - 3525*u. -991*u Collect the terms in -2199*m + 1278*m - 1318*m. -2239*m Collect the terms in 334*w**3 - 658647*w**2 + 658647*w**2. 334*w**3 Collect the terms in 3 - 27 - 2*w**2 - 2 - 104*w**3 + 23 + 3. -104*w**3 - 2*w**2 Collect the terms in -371*x + 65*x + 64*x - 15*x**2 + 57*x + 57*x + 66*x + 63*x. -15*x**2 + x Collect the terms in 443978310*p - 2525*p**2 - 443978310*p. -2525*p**2 Collect the terms in 65860*v**3 + 65772*v**3 - 2*v - 132040*v**3. -408*v**3 - 2*v Collect the terms in -1007*b + 195*b + 197*b + 219*b + 200*b + 194*b. -2*b Collect the terms in -154649452*a**2 - 8406*a**3 + 154649452*a**2. -8406*a**3 Collect the terms in 6*o + 8*o + 3 - 2*o**2 + 15*o - 58*o + 9*o. -2*o**2 - 20*o + 3 Collect the terms in -11680367*u**2 + 11678235*u**2 + 0 + 0. -2132*u**2 Collect the terms in 79*d**2 + 4*d - 78*d**2 - 2*d - 85. d**2 + 2*d - 85 Collect the terms in -8062*i - 8 - 8072*i - 8059*i - 8057*i + 32255*i. 5*i - 8 Collect the terms in 80578334 - 80578334 - 181*o. -181*o Collect the terms in -106*s**3 - 105*s**3 - 145*s**3 + 418*s**3 - 142*s**3 - 205*s**3. -285*s**3 Collect the terms in 34*w**3 - 6*w**3 - 22*w**3 - 55*w**3. -49*w**3 Collect the terms in -27*g**2 + 4 - 4*g + 20
{ "pile_set_name": "DM Mathematics" }
(c) 0.3 b Suppose 3*s - 5*w = -11, -21*w + 19*w = 4*s - 20. What is the closest to 1/2 in s, 0.4, -6, 3/7? 3/7 Let m = -105.7 + 106. What is the nearest to 0 in -2/19, m, -1, -0.1? -0.1 Suppose -4*r + 5 + 11 = 0. Let i = 174/11 - 16. Suppose 22*v - 20*v = 8. What is the closest to v in r, -4, i? r Let f(i) = 163*i - 1. Let h be f(0). Which is the closest to h? (a) -22 (b) 0.1 (c) 4 (d) 0.5 b Let s be 64/(-160)*35/(-16). Which is the nearest to -1? (a) 3 (b) s (c) 0.09 c Suppose -7*t = -4*t - 735. Suppose 0 = 9*g - 2*g - t. Let x be (-15)/g*8/6. What is the closest to 0.1 in x, 3, 0.1? 0.1 Let m = 1.3 + -1.4. Let j = 55 - 52. Let y = j - 4. What is the nearest to 1 in m, -4, y? m Suppose -10*m + 6*m - 8 = 0. Let s be (0/m)/(6*(-5)/(-30)). Which is the closest to -2? (a) s (b) -1/4 (c) 0.2 b Let k = 164.2 - 164. What is the closest to k in 0.4, 1, -0.3, 3/8? 3/8 Suppose -5 = j + 5*z, 5*z - 2*z + 1 = -j. Suppose -26 = -5*a - 11, -7 = -4*s - j*a. Let y = 0.2 - 0.1. What is the nearest to y in 1/11, -0.2, s? 1/11 Let m = -0.14 - -0.64. Which is the closest to -25? (a) m (b) 4 (c) 1/5 c Let n = 3 + -4. Let j = -18.3 - -22. Let u = j - 8.7. What is the nearest to n in 0.4, u, 4? 0.4 Let h = 2.7 + -3.7. What is the nearest to h in 2, 5/4, -4/7? -4/7 Let y = 0.8 + -0.5. Let m = -360.9 - -338. Let c = m - -23. What is the nearest to 3 in y, c, 4? 4 Let j = 65 - 80. Let n = j - -22. What is the closest to n in -3, -0.4, 2? 2 Let d = -2.046 + 1.946. What is the nearest to d in 0.4, 1, -1, -13? 0.4 Let y = -604 - -605. Which is the nearest to y? (a) -4 (b) 3 (c) 0 (d) 0.3 d Let r be 9/(-6)*(-6)/9. Let y be 3 + (-1)/(r + 0). Let v = -41 - -42. What is the closest to v in -0.9, -3/5, y? y Let v be ((-48)/(-308))/(42/231). What is the nearest to v in -1/3, 2, -4/3? 2 Let z = 0.64 + 2.36. Which is the nearest to 0.2? (a) 5 (b) z (c) 0.3 c Let d(w) = w**3 + 10*w**2 + 8*w - 4. Let t be d(-9). Let l = 2.6 + 0.4. Let x = 6 + -10. Which is the closest to l? (a) -2/7 (b) x (c) t c Let p = -247 - -171. Let y = 77.2 + p. What is the nearest to -0.2 in y, -0.4, -2? -0.4 Let x = 0.186 - 0.486. What is the closest to -0.089 in x, 1, -2/7? -2/7 Let r = 3202/7 + -457. Which is the nearest to r? (a) 1 (b) 0.04 (c) 5 b Let l = 182 - 182. Let v = 33.8 + -34. Which is the closest to l? (a) v (b) -0.3 (c) -5/2 a Let j(m) = m**3 + 4*m**2 - 4*m - 17. Let c be j(-3). Let v = -7.368 + 0.068. Let x = v - -7. What is the closest to -0.1 in x, c, -0.5? x Let g = -4.377 - 0.023. Let i = g + 4.4. Let x be (-2)/(-7) + (-15)/28. Which is the nearest to x? (a) i (b) 0.1 (c) 0.3 a Let x = 19.04 + -19. What is the closest to x in -0.5, -0.2, 1/5? 1/5 Let z = -572 + 571.9. Which is the nearest to 0? (a) -0.05 (b) z (c) -2/9 (d) -2 a Let f = -5.1 - -4.8. Which is the nearest to 4? (a) -1 (b) 2 (c) f b Let c = 32781.9 - 32782. Suppose -9 + 1 = -o. What is the closest to -0.3 in o, c, 0.3? c Let m = 1.9 + -1.8. Let w = -3.3 + 4. Let p = w + 0.3. Which is the closest to 0? (a) p (b) 1/9 (c) m c Let w = 76 + -76.5. Let r = -89 + 353/4. What is the closest to r in 1, 3, w? w Let n = -0.0382 + -2.9618. What is the closest to -4 in -1/8, -0.5, 2/7, n? n Let g = 31 + -26. Suppose -q = -3*x - 9, -g*q - x = -3*q + 3. Let r = -2 - 0. Which is the closest to q? (a) r (b) -1/7 (c) -3 b Suppose -3*q - 7 = 8. Let t = 0.43 - 22.43. Let x = -20 - t. Which is the nearest to x? (a) q (b) 2/3 (c) 2 c Let k be (-34)/70 - 3/(-15). Let f = -41.5 + 41.6. What is the closest to -1 in f, k, -0.1? k Let i = -11 - -7. Let n = -5 - -15. Let z = n - 15. What is the closest to -1 in -0.5, z, i? -0.5 Let y = 309 + -312. Which is the closest to -2/5? (a) -1 (b) 4 (c) y (d) -3/2 a Let a = -0.391 + 5.391. What is the closest to -0.1 in -0.1, a, 1? -0.1 Let z = -66 - -78. Let y be (-1)/z*176/66. Let w = -2.5 + 3. What is the closest to 0.3 in w, 5, y? w Suppose 0 = 110*y - 101*y + 9. Which is the nearest to y? (a) 4 (b) -1.4 (c) 0 b Let t = 0.21 + 5.19. Let q = -9.4 + t. Let p = 3.2 + -3. What is the nearest to 0.1 in q, p, 0.08? 0.08 Let v(o) = o**2 + 5*o + 4. Let l be v(-3). Let c be -2 + 2/(l/(-3)). Let j(s) = -s - 2. Let y be j(2). What is the nearest to c in -1/3, y, -0.3? -0.3 Suppose 5*s + g = -45, 6*s = s + g - 35. Let x be (-16)/(-24) - s/(-9). Which is the closest to 1? (a) -0.3 (b) -1/5 (c) x b Let i be (-5)/205*(2 - 1). Let k = 48/287 + i. What is the closest to 1/2 in -5, k, 3? k Let o be (2/9)/(6/(-36)). Suppose -f = -0 + 4. What is the closest to 0.1 in o, f, -2? o Let n = 16.18 - 14.88. What is the nearest to 0 in n, -1, 0.5? 0.5 Let d be -1*2 + 3/(-3). Let x = -0.65 - 0.03. Let g = x + 0.78. Which is the nearest to 1? (a) 0 (b) d (c) g c Let k = 1348 + -1348. Which is the closest to k? (a) -4/27 (b) 1 (c) 2 a Let v be 3/(8 - 2110/260). What is the closest to 7 in 0, -0.2, v? 0 Let j = 427 + -429. What is the nearest to j in 2/7, 0.2, 1/10? 1/10 Let y = 1 - -2. Let t = -2 - -6. Let f be 21/18 + (-6)/t. Which is the closest to f? (a) -0.1 (b) -3/2 (c) y a Suppose -5*z + 196 = -5*g - 799, z = 3*g + 593. Let r = g - -1377/7. Let h = 966/11 - 88. Which is the closest to 0? (a) r (b) h (c) 2/5 b Let p = -347 + 347. Which is the nearest to -24? (a) 2 (b) p (c) 2/11 (d) 0.5 b Suppose 1 = 7*s - 6*s. Let x be 3 + 32/8 - s*3. What is the nearest to x in -3, -1, 4? 4 Let n = 2286 - 2306. What is the nearest to -2/5 in 2/9, -0.3, n? -0.3 Let i = 1 + -1. Let s = i + 0.5. Let l = 1273 - 1272.9. Which is the nearest to -0.6? (a) s (b) -3 (c) l c Let f = -235 + 240. Which is the closest to 1/4? (a) 29 (b) f (c) -5 b Suppose 535*b - 10 = 540*b. What is the nearest to 0.5 in -5, 0, b? 0 Let m = 2.0443 - 0.0443. Which is the nearest to m? (a) 0 (b) 14 (c) -1 a Let f = -48 + -17. Let i = 64.9 + f. Which is the nearest to -12? (a) -1 (b) i (c) -6/5 c Let o = -65 - -65. Suppose -2*f = -3*z + 7*z - 6, o = -2*z + 4. Which is the nearest to f? (a) 1/4 (b) -1/2 (c) -3/4 c Let w = 0.066 - -0.014. Which is the closest to -4/7? (a) w (b) -3 (c) 0.5 a Let n = -234 + 1176/5. Which is the nearest to 0? (a) -0.1 (b) -0.5 (c) 0.4 (d) n a Let w = -16.6 - -13.64. Let m = w - 0.04. Let g = 1.1 - 0.1. Which is the closest to -2/5? (a) 4 (b) m (c) g c Let w = 848 + -844. Which is the closest to 0.1? (a) 0.2 (b) 2/11 (c) 2 (d) w b Let n = -372 - -360. What is the closest to n in -0.2, -3/5, 1? -3/5 Let x = -777 + 784. What is the closest to -2/11 in -3, 1, x? 1 Let m = 45.58 - 45. Let r = 0.88 - m. Which is the closest to -1/7? (a) -0.3 (b) 1/2 (c) r a Let n = 37 + -37. What is the nearest to -0.1 in 2/7, -1, n? n Suppose 3*h - 3 = -3*i + 3, 13 = -4*h + 3*i. What is the nearest to h in 3, -4, -0.16? -0.16 Let x = -8.71 - 0.29. Let m = x - -11. Let u be 1 + 10/(-18)*2. Which is the closest to m? (a) 4 (b) u (c) -3/7 a Let i = -361/8 - -45. Let w = -2648 - -2643. What is the nearest to i in w, -2, 0.4? 0.4 Let t be (-3)/(-6) - (-26)/(-4). Let i be (t - (-50)/6) + 2*-1. Which is the closest to i? (a) -1/6 (b) -10 (c) -5 a Suppose 10*p = -20*p - 1860. Which is the closest to 1/2? (a) p (b) -0.2 (c) 5 b Let p = 0.2 + 61.8. Let d = p - 62.4. Which is the closest to 1/2? (a) -1 (b) d (c) 0.5 c Let n be (-448)/(-920) - -12*9/(-1242). Let d = 0 + 1. Which is the closest to d? (a) 0.1 (b) 4 (c) n c Let x = 317 - 318.89. Let z = x + -0.11. Let s = 0 + z. Which is the nearest to 2/7? (a) -4 (b) -0.2 (c) s b Let v = 0.849 - 1.349. Let k(a) = a + 7. Let b be k(-3). What is the nearest to 0.1 in v, b, -4? v Let k = 651 + -655. Let q = -0.3 - -0.1. Which is the nearest to q? (a) -0.9 (b) -3 (c) k a Let m = -31.9 - -32. Suppose -2*c + 2*g = -12, g + g = -5*c + 16. Suppose 4 = 3*a - c*a. What is the closest to 0 in a, 5, m? m Let o = 6/157 + 21004/33755. Let u = o + 6/43. What is the closest to -0.2 in -4, 1, u? u Let p = 4216 - 4215.9. Let j = -14/57 - 8/19. Which is the nearest to p? (a) j (b) 1/5 (c) 1/4 b Let p = 0.44 + -0.64. Which is the closest to p? (a) 3 (b) -1/5 (c) -13 b Let j(q) = q - 7. Let z be j(10). Let n = -5948 + 65383/11. Let v = n - -269/55. Which is the nearest to 0.1? (a) -2 (b) v (c) z b Let q(n) = n**3 - 6
{ "pile_set_name": "DM Mathematics" }
culate the highest common divisor of 1344 and 23222208. 192 Calculate the highest common factor of 17 and 7424189. 17 Calculate the greatest common factor of 28261715 and 7. 1 What is the greatest common divisor of 9604728 and 420? 84 Calculate the highest common factor of 1866774 and 702. 78 Calculate the greatest common factor of 27960 and 7104. 24 What is the highest common divisor of 1210 and 230924870? 1210 Calculate the greatest common divisor of 16242050 and 11. 11 What is the greatest common divisor of 2075666 and 461414? 1394 What is the greatest common divisor of 31845 and 128535? 165 Calculate the highest common divisor of 870 and 6565194. 174 Calculate the greatest common divisor of 5142882 and 95. 19 What is the highest common factor of 13396 and 7004? 68 Calculate the highest common factor of 25158 and 4830. 42 What is the greatest common divisor of 757900 and 22750? 650 Calculate the highest common factor of 7366416 and 348. 12 What is the highest common divisor of 16100232 and 4128? 1032 What is the highest common divisor of 22272563 and 23825? 953 Calculate the greatest common divisor of 3991385 and 9035. 695 Calculate the highest common divisor of 492 and 244399278. 246 Calculate the highest common factor of 711 and 1008621. 9 What is the greatest common divisor of 20854660 and 360? 20 Calculate the greatest common factor of 35260564 and 736. 92 What is the greatest common factor of 6709375 and 2500? 625 What is the greatest common divisor of 893600 and 900? 100 Calculate the greatest common factor of 130941536 and 176. 176 Calculate the greatest common divisor of 2664 and 1246566852. 1332 Calculate the greatest common divisor of 25813546 and 22. 22 Calculate the highest common divisor of 7860 and 256925715. 1965 Calculate the greatest common divisor of 9138166 and 4026. 122 Calculate the highest common divisor of 3464773 and 65. 13 Calculate the highest common divisor of 139490 and 453830. 130 Calculate the greatest common divisor of 4072 and 281109502. 1018 What is the highest common divisor of 25828 and 19444962? 1174 What is the greatest common factor of 13651170 and 1972? 986 Calculate the highest common divisor of 4496 and 1994819. 281 Calculate the greatest common factor of 379562595 and 240. 15 Calculate the highest common factor of 41095 and 2415. 5 Calculate the highest common divisor of 109218 and 14070. 6 Calculate the highest common factor of 964 and 150267115. 241 What is the greatest common divisor of 73660368 and 96? 48 What is the highest common factor of 1134027 and 24347? 97 Calculate the greatest common divisor of 6 and 1404264. 6 Calculate the highest common divisor of 1139609 and 4183. 47 Calculate the greatest common divisor of 1057787 and 10849. 19 Calculate the highest common factor of 6939108 and 1539. 81 What is the highest common divisor of 1343123 and 47024? 2939 What is the greatest common divisor of 225 and 39134925? 225 Calculate the highest common divisor of 100362874 and 4090. 818 What is the greatest common factor of 82476413 and 46? 23 Calculate the highest common divisor of 33425 and 1691200. 175 What is the highest common divisor of 5190 and 112152? 6 What is the highest common factor of 79344 and 1919568? 1392 Calculate the highest common factor of 1448 and 372694204. 724 What is the greatest common factor of 71640 and 66870? 90 What is the greatest common factor of 112 and 30231131? 7 Calculate the highest common divisor of 246 and 31134375. 123 Calculate the greatest common factor of 12026002 and 5792. 362 Calculate the highest common factor of 873 and 13730447. 97 Calculate the greatest common divisor of 6371760 and 23630. 1390 Calculate the highest common divisor of 3814230 and 166173. 861 Calculate the highest common divisor of 17132148 and 1631988. 7452 Calculate the highest common divisor of 1341271 and 848. 53 Calculate the highest common divisor of 17793 and 278098. 659 What is the highest common factor of 3928 and 330662968? 3928 What is the greatest common divisor of 4232536 and 2? 2 Calculate the greatest common divisor of 248188220 and 20. 20 What is the greatest common factor of 2136 and 388848? 24 What is the greatest common divisor of 918980892 and 1398? 1398 Calculate the greatest common divisor of 534000 and 65400. 600 Calculate the greatest common factor of 1907385 and 21715. 505 Calculate the greatest common factor of 5326 and 1303703606. 5326 What is the highest common divisor of 238 and 1139670? 14 What is the highest common divisor of 2128 and 49867286? 266 Calculate the greatest common divisor of 152 and 322148. 4 What is the highest common divisor of 46678752 and 288? 288 Calculate the highest common factor of 1617 and 1592184. 33 Calculate the highest common factor of 10 and 1557599. 1 What is the greatest common factor of 2464 and 555962? 22 What is the greatest common divisor of 48500 and 503915? 485 Calculate the highest common divisor of 5021929 and 77. 11 Calculate the greatest common divisor of 364826890 and 1370. 1370 What is the greatest common divisor of 7490799 and 2241? 27 Calculate the greatest common factor of 24679 and 4996961. 1073 What is the highest common factor of 1214707 and 46163? 689 What is the highest common divisor of 2749140 and 1215? 405 What is the highest common factor of 285 and 42639705? 285 What is the highest common divisor of 153860 and 9114? 98 What is the greatest common divisor of 22088 and 5319820? 44 Calculate the highest common factor of 1971298 and 1498. 14 What is the highest common divisor of 1228070 and 165710? 2270 What is the greatest common factor of 44314490 and 15? 5 What is the greatest common factor of 2874 and 755862? 2874 What is the greatest common factor of 39368198 and 22524? 3754 What is the greatest common divisor of 118763 and 1529205? 1051 What is the highest common divisor of 1840725 and 72922? 101 Calculate the greatest common divisor of 146916081 and 26. 13 What is the highest common factor of 26705393 and 5434? 2717 Calculate the highest common factor of 710 and 9057470. 710 Calculate the highest common factor of 35 and 3225355. 35 What is the greatest common factor of 339136 and 35? 7 What is the highest common factor of 15 and 44525805? 15 Calculate the greatest common factor of 1487594 and 3358. 3358 Calculate the greatest common divisor of 71142 and 173346. 1002 Calculate the greatest common divisor of 20 and 16168380. 20 Calculate the highest common divisor of 3255830 and 281329. 3161 What is the greatest common factor of 55378076 and 1649? 97 Calculate the highest common divisor of 520 and 15758210. 130 Calculate the greatest common factor of 1383 and 25310283. 1383 What is the highest common divisor of 187406781 and 53? 53 Calculate the greatest common divisor of 2472327 and 3927. 561 Calculate the highest common divisor of 18193 and 835296. 791 Calculate the greatest common factor of 297685486 and 98. 98 What is the greatest common factor of 14006802 and 339? 339 Calculate the highest common divisor of 179814261 and 4257. 1419 Calculate the highest common divisor of 2786043295 and 35. 35 Calculate the greatest common factor of 1376488 and 8739756. 9428 What is the highest common factor of 9823064 and 1317? 439 Calculate the highest common factor of 1152 and 3497436. 36 What is the greatest common divisor of 1279376553 and 2037? 2037 Calculate the greatest common divisor of 16 and 35215648. 16 Calculate the greatest common divisor of 45900438 and 318. 318 Calculate the highest common factor of 542151 and 14337. 531 What is the highest common factor of 200 and 97965950? 50 What is the greatest common divisor of 31960378 and 19314? 2146 Calculate the greatest common divisor of 287432544 and 756. 84 Calculate the greatest common factor of 19112298 and 776. 194 Calculate the highest common divisor of 16782 and 1638. 6 What is the highest common divisor of 2016 and 3931286688? 2016 Calculate the highest common factor of 150 and 8628030. 30 What is the highest common divisor of 300 and 829992? 12 What is the highest common factor of 1523322765 and 60? 15 Calculate the greatest common factor of 9630 and 20652284. 214 What is the highest common divisor of 1178 and 2433796298? 1178 What is the hi
{ "pile_set_name": "DM Mathematics" }
se 8 343 Convert 102 (base 4) to base 8. 22 4 (base 15) to base 10 4 What is 4 (base 10) in base 5? 4 What is -202 (base 5) in base 12? -44 311 (base 4) to base 15 38 -8 (base 10) to base 4 -20 16 (base 9) to base 4 33 What is 0 (base 10) in base 6? 0 Convert -b (base 12) to base 4. -23 Convert -3 (base 15) to base 6. -3 What is 2 (base 3) in base 10? 2 What is 117 (base 12) in base 10? 163 What is -1 (base 3) in base 8? -1 Convert -81 (base 9) to base 16. -49 What is -1a (base 13) in base 16? -17 Convert 14 (base 8) to base 2. 1100 Convert 3 (base 12) to base 10. 3 What is -2 (base 10) in base 4? -2 Convert 101110 (base 2) to base 5. 141 What is -5 (base 6) in base 5? -10 What is -2 (base 12) in base 8? -2 182 (base 12) to base 6 1042 -4 (base 14) to base 10 -4 What is -1 (base 4) in base 6? -1 Convert 27 (base 8) to base 16. 17 Convert -41 (base 5) to base 12. -19 33 (base 4) to base 2 1111 Convert 12 (base 3) to base 6. 5 Convert -17 (base 9) to base 8. -20 Convert 73 (base 8) to base 15. 3e What is 2 (base 7) in base 5? 2 Convert -15 (base 6) to base 8. -13 Convert -2 (base 6) to base 11. -2 What is 25 (base 12) in base 15? 1e What is 18 (base 9) in base 8? 21 1 (base 10) to base 9 1 What is -26 (base 7) in base 11? -19 1121 (base 5) to base 7 320 23 (base 4) to base 7 14 Convert -14 (base 6) to base 5. -20 Convert 1 (base 9) to base 10. 1 What is -145 (base 6) in base 14? -49 Convert -4 (base 13) to base 15. -4 Convert -c8 (base 16) to base 10. -200 Convert 2130 (base 5) to base 7. 563 Convert -4 (base 13) to base 15. -4 Convert -9 (base 12) to base 2. -1001 -3 (base 5) to base 14 -3 What is 1 (base 13) in base 10? 1 -1 (base 13) to base 15 -1 Convert 10 (base 3) to base 13. 3 -1 (base 3) to base 15 -1 Convert 20 (base 3) to base 11. 6 70 (base 11) to base 13 5c Convert -174 (base 9) to base 5. -1043 Convert -10 (base 8) to base 12. -8 5 (base 9) to base 6 5 What is 5 (base 8) in base 16? 5 What is -412 (base 5) in base 12? -8b Convert 11 (base 4) to base 5. 10 12 (base 8) to base 5 20 -5 (base 7) to base 5 -10 What is -69 (base 13) in base 6? -223 101 (base 2) to base 11 5 What is -6c (base 14) in base 15? -66 -5 (base 14) to base 11 -5 -113 (base 13) to base 5 -1220 Convert 2 (base 15) to base 12. 2 What is -362 (base 8) in base 16? -f2 What is 47 (base 12) in base 7? 106 What is 0 (base 13) in base 8? 0 -30 (base 7) to base 6 -33 Convert -11 (base 6) to base 10. -7 Convert -22 (base 8) to base 13. -15 -4 (base 11) to base 13 -4 What is 21 (base 16) in base 4? 201 Convert 10201 (base 4) to base 15. 144 Convert 113 (base 6) to base 4. 231 What is -82 (base 14) in base 3? -11020 What is -3 (base 10) in base 13? -3 What is -2 (base 10) in base 9? -2 What is -24 (base 16) in base 2? -100100 Convert 21012 (base 3) to base 2. 11000010 1 (base 4) to base 6 1 What is 22 (base 7) in base 8? 20 Convert -2 (base 3) to base 13. -2 2 (base 10) to base 15 2 Convert -33 (base 15) to base 5. -143 What is 0 (base 7) in base 4? 0 Convert -c5 (base 14) to base 15. -b8 What is -6 (base 13) in base 2? -110 What is 6 (base 7) in base 14? 6 Convert 143 (base 5) to base 16. 30 What is 1 (base 7) in base 15? 1 What is 1 (base 2) in base 6? 1 1101 (base 4) to base 10 81 What is 9 (base 10) in base 8? 11 -a (base 14) to base 13 -a -1 (base 9) to base 8 -1 What is -b (base 12) in base 16? -b What is -4 (base 12) in base 5? -4 -121 (base 4) to base 2 -11001 12 (base 8) to base 6 14 What is -3 (base 7) in base 4? -3 Convert -51 (base 7) to base 13. -2a What is 1012 (base 5) in base 7? 246 342 (base 6) to base 2 10000110 Convert 4 (base 7) to base 12. 4 Convert 10 (base 4) to base 9. 4 12 (base 12) to base 8 16 147 (base 10) to base 11 124 -1010 (base 4) to base 7 -125 Convert 0 (base 9) to base 5. 0 What is -2 (base 4) in base 16? -2 What is 0 (base 8) in base 13? 0 Convert -5 (base 14) to base 11. -5 Convert 6 (base 12) to base 4. 12 -112 (base 5) to base 10 -32 Convert 20 (base 12) to base 7. 33 Convert -10 (base 9) to base 11. -9 What is -1 (base 5) in base 10? -1 Convert 36 (base 8) to base 9. 33 What is 46 (base 12) in base 8? 66 What is -310 (base 5) in base 3? -2222 Convert -31 (base 4) to base 7. -16 -21 (base 9) to base 10 -19 Convert 2 (base 11) to base 6. 2 Convert 20 (base 6) to base 8. 14 -31 (base 6) to base 11 -18 Convert -15 (base 10) to base 7. -21 -261 (base 8) to base 15 -bc -104 (base 6) to base 7 -55 -6 (base 8) to base 10 -6 Convert -3 (base 8) to base 11. -3 What is -74 (base 10) in base 14? -54 -30 (base 7) to base 9 -23 What is -76 (base 9) in base 2? -1000101 3 (base 10) to base 13 3 -241 (base 6) to base 3 -10121 0 (base 4) to base 7 0 What is 3 (base 10) in base 12? 3 What is -4 (base 16) in base 9? -4 What is -1 (base 16) in base 8? -1 12 (base 16) to base 2 10010 What is 2 (base 12) in base 10? 2 101120 (base 3) to base 12 1b9 What is -28 (base 11) in base 13? -24 What is 100011 (base 2) in base 11? 32 -36 (base 14) to base 3 -1210 -1001 (base 2) to base 12 -9 What is -c (base 14) in base 15? -c Convert -3 (base 9) to base 15. -3 What is -10000 (base 2) in base 5? -31 -10010 (base 2) to base 13 -15 Convert -3 (base 14) to base 5. -3 Convert -21 (base 8) to base 14. -13 What is 30 (base 13) in base 9? 43 What is 10 (base 7) in base 16? 7 Convert 19 (base 14) to base 6. 35 What is -60 (base 13) in base 5? -303 -9 (base 13) to base 16 -9 1 (base 15) to base 11 1 121 (base 6) to base 11 45 Convert 0 (base 5) to base 10. 0 11 (base 3) to base 4 10 55 (base 8) to base 16 2d What is 4 (base 12) in base 8? 4 What is 14 (base 8) in base 10? 12 What is 401 (base 5) in base 10? 101 Convert -325 (base 6) to base 3. -11122 27 (base 15) to base 5 122 40 (base 14) to base 13 44 -2 (base 15) to base 6 -2 What is 23 (base 14) in base 16? 1f -2 (base 11) to base 5 -2 ad (base 14) to base 10 153 -32 (base 12) to base 10 -38 What is 11 (base 10) in base 15? b -3 (base 8) to base 5 -3 Convert 4 (base 16) to base 5. 4 9b (base 15) to base 5 1041 Convert 13 (base 16) to base 6. 31 Convert -2 (base 14) to base 9. -2 What is -15 (base 9) in base 11? -13 121 (base 4) to base 5 100 3 (base 16) to base 5 3 What is 1 (base 12) in base 7? 1 Convert -18 (base 15) to base 9. -25 Convert 1 (base 10) to base 4. 1 Convert 10110 (base 2) to base 8. 26 What is 9 (base 10) in base 13? 9 -1 (base 8) to base 12 -1 What is 49 (base 13) in base 6? 141 Convert -93 (base 10) to base 13. -72 What is -5 (base 6) in base 3? -12 73 (base 8) to base 16 3b What is 2 (base 9) in base 4? 2 What is 7 (base 15) in base 10? 7 What is 51 (base 6) in base 11? 29 Convert 1010 (base 3) to base 16. 1e What is 1 (base 9) in base 11? 1 -2a (base 11) to base 2 -100000 Convert 3 (base 14) to base 13. 3 3 (base 9) to base 12 3 What is -20 (base 4) in base 7? -11 What is 3 (base 13) in base 5? 3 -2 (base 14) to base 13 -2 2 (base 6) to base 12 2 Convert 122 (base 3) to base 6. 25 Convert 1 (base 15) to base 11. 1 Convert 14 (base 12) to base 9. 17 Convert 101100001 (base 2) to base 11. 2a1 -1 (base 12) to base 15 -1 Convert 30 (base 7) to base 12. 19 What is -11101010 (base 2) in base 13? -150 Convert 13 (base 6) to base 9. 10 -110 (base 4) to base 9 -22 2 (base 4) to base 12 2 -11 (base 3) to base 6 -4 Convert 2 (base 13) to base 2. 10 What is -2 (base 10) in base 5? -2 9 (base 13) to base 12 9 What is 22 (base 7) in base 9? 17 Convert 0 (base 2) to base 6. 0 Convert -130 (base 5) to base 15. -2a 20 (base 9) to base 11 17 Convert 1 (base 3) to base 14. 1 What is 3 (base 16) in base 4? 3 52 (base 16) to base 7 145 What is 20 (base 10) in base 5? 40 What is -4 (base 13) in base 3? -11 4a (base 11) to base 6 130 Convert 36 (base 11) to base 13. 30 Convert -2000 (base 3) to base 9. -60 Convert 303 (base 5) to base 6. 210 Convert -100 (base 3) to base 5. -14 16 (base 8) to base 7 20 -17 (base 11) to base 14 -14 16 (base 9) to base 3 120 Convert 15 (base 6) to base 14. b -4 (base 16) to base 15 -4 What is 1011 (base 4) in base 8? 105 -11 (base 9) to base 4 -22 Convert -2 (base 5) to base 15. -2 Convert 7 (base 15) to base 3. 21 What is 120 (base 14) in base 2? 11100000 17 (base 8) to base 3 120 -5 (base 12) to base 16 -5 121 (base 4) to base 10 25 -1 (base 5) to base 10 -1 Convert -42 (base 9) to base
{ "pile_set_name": "DM Mathematics" }
16 What is 14 (base 7) in base 10? 11 -a (base 12) to base 13 -a What is -3 (base 5) in base 12? -3 What is 3 (base 12) in base 15? 3 13 (base 5) to base 16 8 What is 3 (base 15) in base 11? 3 What is -232 (base 5) in base 13? -52 Convert -19 (base 14) to base 5. -43 Convert 6 (base 13) to base 8. 6 What is -2 (base 8) in base 3? -2 Convert 14 (base 13) to base 16. 11 31 (base 5) to base 8 20 What is 24 (base 10) in base 16? 18 What is 2 (base 5) in base 10? 2 Convert 6c (base 16) to base 3. 11000 Convert 144 (base 9) to base 8. 171 3 (base 7) to base 5 3 16 (base 7) to base 16 d Convert 2 (base 5) to base 8. 2 What is -2 (base 9) in base 2? -10 7 (base 14) to base 4 13 What is -2212 (base 4) in base 8? -246 1 (base 6) to base 14 1 Convert -20 (base 10) to base 16. -14 Convert -4 (base 13) to base 9. -4 4 (base 6) to base 16 4 Convert 54 (base 13) to base 5. 234 Convert -1 (base 5) to base 9. -1 Convert 4 (base 12) to base 15. 4 What is -24 (base 10) in base 8? -30 Convert 22 (base 6) to base 8. 16 Convert 13 (base 16) to base 4. 103 What is -2 (base 10) in base 16? -2 -a7 (base 13) to base 9 -162 What is -254 (base 6) in base 5? -411 What is 24 (base 12) in base 11? 26 -8a (base 15) to base 10 -130 What is 2 (base 3) in base 7? 2 -f (base 16) to base 10 -15 221 (base 6) to base 13 67 What is 4 (base 16) in base 10? 4 Convert -32 (base 4) to base 10. -14 -1e (base 15) to base 9 -32 3102 (base 4) to base 7 420 What is 2c (base 13) in base 8? 46 3 (base 8) to base 9 3 What is -4 (base 5) in base 16? -4 Convert 20 (base 8) to base 13. 13 1223 (base 4) to base 7 212 What is -2 (base 3) in base 10? -2 What is -1 (base 7) in base 2? -1 77 (base 9) to base 3 2121 -4 (base 9) to base 7 -4 What is 0 (base 11) in base 4? 0 What is 2 (base 9) in base 10? 2 Convert 103 (base 6) to base 10. 39 Convert 107 (base 13) to base 16. b0 What is 1 (base 9) in base 8? 1 -1013 (base 5) to base 7 -250 3 (base 15) to base 8 3 Convert -1420 (base 5) to base 12. -177 Convert 111100 (base 2) to base 4. 330 Convert 6 (base 13) to base 14. 6 What is -1 (base 9) in base 4? -1 Convert -14 (base 9) to base 10. -13 -49 (base 14) to base 6 -145 -23 (base 7) to base 9 -18 Convert -1 (base 13) to base 9. -1 Convert -110 (base 2) to base 11. -6 -8 (base 11) to base 5 -13 What is 12 (base 9) in base 8? 13 15b (base 14) to base 9 337 101 (base 6) to base 5 122 -3 (base 13) to base 2 -11 What is -94 (base 14) in base 2? -10000010 Convert -23 (base 8) to base 5. -34 What is 2 (base 9) in base 11? 2 -2c (base 14) to base 16 -28 Convert -72 (base 15) to base 10. -107 Convert -2142 (base 5) to base 11. -250 5 (base 13) to base 12 5 What is 0 (base 10) in base 4? 0 What is 7c (base 15) in base 5? 432 -146 (base 9) to base 16 -7b What is 1d (base 16) in base 13? 23 Convert 4 (base 9) to base 7. 4 -1 (base 16) to base 7 -1 -6 (base 15) to base 8 -6 Convert 4 (base 10) to base 15. 4 What is -7 (base 14) in base 8? -7 -33 (base 7) to base 6 -40 What is 10 (base 2) in base 3? 2 -1 (base 2) to base 11 -1 Convert -2 (base 9) to base 2. -10 200 (base 4) to base 14 24 What is 81 (base 9) in base 11? 67 0 (base 14) to base 7 0 What is 33 (base 7) in base 13? 1b What is 10 (base 13) in base 15? d Convert 91 (base 15) to base 5. 1021 Convert 2 (base 4) to base 5. 2 What is -9 (base 11) in base 5? -14 Convert 100 (base 2) to base 7. 4 22 (base 6) to base 5 24 Convert -4 (base 5) to base 12. -4 What is 437 (base 9) in base 6? 1354 Convert 0 (base 2) to base 4. 0 a (base 14) to base 2 1010 Convert 0 (base 10) to base 15. 0 What is 4 (base 7) in base 14? 4 What is 28 (base 16) in base 15? 2a Convert -20 (base 12) to base 5. -44 What is -a (base 11) in base 3? -101 Convert 12 (base 6) to base 14. 8 Convert 520 (base 6) to base 2. 11000000 What is 0 (base 4) in base 10? 0 Convert -61 (base 12) to base 2. -1001001 Convert -166 (base 7) to base 16. -61 Convert -c (base 16) to base 14. -c Convert -3 (base 14) to base 12. -3 What is ca (base 13) in base 8? 246 -2 (base 3) to base 6 -2 Convert 5 (base 13) to base 11. 5 1 (base 13) to base 8 1 -12 (base 14) to base 3 -121 What is -2011 (base 3) in base 7? -112 What is 11e (base 16) in base 14? 166 Convert -2c (base 13) to base 11. -35 4e (base 15) to base 14 54 Convert -21 (base 7) to base 14. -11 What is 121 (base 3) in base 8? 20 What is -98 (base 15) in base 14? -a3 -4 (base 14) to base 8 -4 What is 7 (base 14) in base 16? 7 Convert -10 (base 15) to base 4. -33 12222 (base 3) to base 6 425 Convert -7 (base 8) to base 5. -12 What is -311 (base 6) in base 7? -223 1 (base 2) to base 11 1 -33 (base 7) to base 8 -30 1 (base 4) to base 12 1 What is 1000 (base 5) in base 4? 1331 -4 (base 16) to base 8 -4 -14 (base 9) to base 3 -111 Convert 4 (base 7) to base 11. 4 What is 1 (base 5) in base 14? 1 What is 23 (base 5) in base 4? 31 Convert 1b (base 13) to base 4. 120 What is -4 (base 14) in base 11? -4 What is 16 (base 10) in base 2? 10000 344 (base 6) to base 2 10001000 What is -3 (base 15) in base 8? -3 What is -10 (base 4) in base 3? -11 What is -3 (base 6) in base 15? -3 Convert -25 (base 8) to base 4. -111 24 (base 13) to base 11 28 What is 3 (base 8) in base 13? 3 Convert 5 (base 10) to base 8. 5 100 (base 3) to base 9 10 What is -146 (base 7) in base 2? -1010011 What is -10 (base 11) in base 15? -b -aa (base 11) to base 15 -80 3 (base 15) to base 11 3 Convert 34 (base 16) to base 15. 37 What is -1101100 (base 2) in base 3? -11000 What is 0 (base 12) in base 11? 0 Convert b (base 12) to base 14. b What is 42 (base 8) in base 4? 202 What is -3 (base 4) in base 8? -3 Convert -35 (base 16) to base 11. -49 What is a5 (base 15) in base 8? 233 -5 (base 13) to base 8 -5 Convert 0 (base 12) to base 14. 0 Convert 12 (base 9) to base 7. 14 Convert -60 (base 13) to base 5. -303 What is -4 (base 16) in base 11? -4 What is d (base 16) in base 4? 31 Convert 20 (base 8) to base 10. 16 Convert 11011 (base 2) to base 15. 1c Convert -2 (base 7) to base 12. -2 271 (base 9) to base 16 e2 -1 (base 15) to base 16 -1 What is 10010 (base 2) in base 9? 20 Convert 26 (base 16) to base 6. 102 -6 (base 13) to base 5 -11 -232 (base 8) to base 9 -181 Convert -20 (base 10) to base 8. -24 Convert -15 (base 10) to base 11. -14 -11 (base 3) to base 16 -4 What is 5 (base 15) in base 2? 101 What is -12221 (base 3) in base 4? -2200 -63 (base 10) to base 4 -333 2 (base 16) to base 3 2 Convert 17 (base 11) to base 12. 16 Convert -31 (base 9) to base 5. -103 Convert 3 (base 7) to base 6. 3 Convert -10 (base 5) to base 12. -5 Convert 2 (base 10) to base 8. 2 -2 (base 14) to base 11 -2 What is 330 (base 8) in base 3? 22000 What is 13 (base 10) in base 3? 111 Convert a0 (base 12) to base 11. aa -29 (base 11) to base 16 -1f What is 11 (base 10) in base 5? 21 What is -38 (base 13) in base 10? -47 What is -10 (base 6) in base 5? -11 Convert 10 (base 4) to base 8. 4 Convert 203 (base 9) to base 7. 324 What is -18 (base 15) in base 8? -27 23 (base 8) to base 15 14 Convert -a5 (base 11) to base 14. -83 -a0 (base 13) to base 3 -11211 Convert 4 (base 7) to base 5. 4 What is 14 (base 6) in base 13? a Convert -4 (base 11) to base 16. -4 -1 (base 4) to base 3 -1 What is 2 (base 9) in base 3? 2 What is -21 (base 8) in base 7? -23 100 (base 9) to base 2 1010001 103 (base 8) to base 9 74 Convert -100 (base 5) to base 12. -21 What is 1 (base 10) in base 16? 1 What is -23 (base 13) in base 14? -21 What is -3 (base 15) in base 2? -11 321 (base 5) to base 9 105 What is 15 (base 7) in base 11? 11 Convert 32 (base 4) to base 9. 15 What is -2 (base 5) in base 2? -10 Convert 111 (base 2) to base 6. 11 Convert 1 (base 9) to base 13. 1 Convert -13 (base 9) to base 13. -c -44 (base 11) to base 13 -39 Convert 62 (base 10) to base 9. 68 What is 98 (base 10) in base 16? 62 Convert -2d (base 14) to base 11. -38 59 (base 10) to base 16 3b What is -8 (base 11) in base 14? -8 What is 507 (base 8) in base 11? 278 1210 (base 5) to base 6 500 What is -2 (base 6) in base 2? -10 What is 3 (base 9) in base 6? 3 What is 4 (base 5) in base 10? 4 Convert 6 (base 10) to base 8. 6 What is -4 (base 16) in base 14? -4 21 (base 8) to base 16 11 What is 202 (base 3) in base 5? 40 -d5 (base 14) to base 16 -bb Convert -4 (base 9) to base 16. -4 W
{ "pile_set_name": "DM Mathematics" }
alculate -3 + 0 + -49 + 27 + 66. 41 Calculate 93 + -103 - (59 - 22). -47 Evaluate 12 + (2 - 0) - (-141 + 94). 61 (-6 - ((-16 - 2) + 0 - -27)) + 53 38 What is (-7 + -8 - (-12 + 11) - (81 - -4)) + -13? -112 2 - (-20 + -1 + -7 + 13) 17 What is the value of 1 + (-12 + 5 - -10) - 4? 0 What is the value of 104 - 61 - (3 + (9 - (14 + -9)))? 36 0 + 20 + -10 + 4 + -4 10 What is -1 + -78 - (24 + (22 - (-14 + 47)))? -92 -21 + (-5 - (8 - (35 - -19))) + -14 6 (-98 - 1) + (-25206 - -25423) 118 What is -2 + (9 - -2 - (-22 - (-53 - -15)))? -7 What is -55 - (-50 - (13 - -29))? 37 -159 - -80 - ((26 - 17) + -5 + (-1 - -4)) -86 Calculate -1 - 11 - (-10 + 2 - (-229 + 231)). -2 What is the value of 27 + (3 - 2) - (39 + -14 + -13)? 16 Calculate 28 + 97 + -137 + (0 - -7). -5 Evaluate 21 + 37 + -125 + 80. 13 What is 3 + -38 + -24 + (43 - 26) - 6? -48 What is 50 + 0 + 48 - (8 + -6 + -6)? 102 (-24 - (-35 + 20)) + (96 - 66) 21 Evaluate -9 + 2 + (-25 - -47) + (62 - (-8 - -23)). 62 What is the value of -123 + 158 - (-9 + (60 - -10))? -26 What is 20 + 78 + (-40 - -22 - 4)? 76 What is (10 - (11 - (16 - 23))) + (0 - -13)? 5 -136 - ((-84 + -20 - -83) + (19 - 2)) -132 What is the value of -1820 + 1816 - ((26 - -2) + -2)? -30 Evaluate (-39 - -27) + 1 - 8. -19 What is the value of -107 + 37 - (0 + -88)? 18 What is -2 + (-31 + 14 - -17) + (10 - 1) - -7? 14 Evaluate (58 - 109) + 46 + 2 + 20. 17 16 + (-33 - -53 - 33) 3 Evaluate -44 - ((-4 - -6) + (17 - -1) - (452 - 440)). -52 What is (27 + 4 - 6) + 14 + 0 + -3? 36 What is the value of 43 + -110 + (26 - 19)? -60 What is the value of 2 + -18 + -3 + (-1 + -17 - -8 - -1)? -28 Evaluate 1 - ((-32 - -54) + 57). -78 2 + (-5 - ((5 - -2 - 3) + -3)) + 23 19 Calculate 20 + -1 - (-7 - (14 + (-24 - -6) + -6)). 16 What is the value of -4 + -2 + -11 + 6 - -12 - 12 - -77? 66 -92 + (27 + -8 + 16 - 9) -66 Evaluate 17 + -41 + (-155 - -215). 36 Evaluate -62 - (-5 - 79 - -12). 10 Evaluate -33 - (-36 + 21 + -145). 127 Evaluate -35 - -33 - (9 + (-14 - (5 + 4 - 19))). -7 What is the value of (79 - 61 - (-2 - 0) - 11) + 6? 15 (-1 - -1) + 89 + ((-11 - 8) + -17 - -20) 73 What is the value of (-15 + (41 - 19) - (-2 + 4)) + -5? 0 Calculate -126 - (-126 + 122 - (2 - 24)). -144 Calculate 83 + (50 + -90 - -30). 73 -91 - -111 - (2 - (4 - 16)) - -69 - 6 69 What is the value of -16 - (-2 + (84 - (-11 - -3))) - -6? -100 Calculate 41 - (12 + -12 + (-6 - -17) + -6 + 6). 30 Calculate 38 - (6 + -27 - -12 - (-7 + 8)). 48 Calculate (17 - (16 + -32)) + -12 - -32. 53 What is (0 - 5) + (-19 - 12 - -37) + -21? -20 77 + 10 + 2 + -31 + 25 83 What is the value of -40 - ((-123 - -40) + 42)? 1 What is 6 - 1 - (-30 - (-2 - (-7 + -8)))? 48 -64 + 64 - (9 - 27 - 6) 24 Evaluate 21 + -52 + 69 + -3 + 10. 45 (-70 - 30) + 69 + 12 + 2 -17 What is the value of (-31 - (-114 + 54)) + 29? 58 Calculate -71 - ((-10 - (-12 + 7)) + (-1 - 8)). -57 What is (679 - 673) + (2 - 2) + 70 + -3? 73 (81 - 74) + -9 + (2 + -1 - -3) 2 Evaluate 92 + (81 + -57 - 78). 38 (-19 - (19 - 21 - -4)) + -22 -43 What is the value of -1 - -1 - 2 - (-154 + (62 + -106 - -77))? 119 Evaluate 45 + 33 - 15 - (-14 + 8). 69 What is -25 - 1 - (531 - 523)? -34 What is -15 + (-20 - ((15 - 5) + 0)) - 9? -54 What is the value of 0 + -21 + 2 - (-10 - (-13 - -2 - -1))? -19 Calculate (-29 - 6) + 46 - (-4 + -4). 19 What is (-754 - -688) + (1 - -53)? -12 (-50 - 2 - (40 + -67)) + -26 -51 Calculate -3 + 1 + 625 + -651. -28 Calculate 1 + 64 + (7 - (-4 - 0) - 5) + -3. 68 Calculate -11 + 9 + 0 + (-4 + 16 - (52 - 31)). -11 Calculate (-358 - -277) + -2 + 61. -22 Calculate (109 + -84 - 28) + -110. -113 (-547 - -580) + (1 - 11 - (-1 - -2)) 22 What is -62 + 9 + (-6 + -10 - (-6 - 17))? -46 What is -64 + -57 + 141 + -2? 18 What is the value of (-564 + 587 - (-2 + 29)) + 17? 13 Calculate 0 + -7 + (27 - ((-1 - -1) + 186 + -157)). -9 What is 93 + (-3 + -145 - -168)? 113 What is (59 + -5 - -7 - (54 - 41)) + -15 - 15? 18 12 + (13 - (-3 - 1 - -59 - -4)) -34 What is the value of 1 + -9 - ((-9 - -17) + -16) - 17? -17 What is the value of -10 + (0 - 2) + 12 - (-63 - -15)? 48 What is -16 - ((-19 - -57) + -27)? -27 What is -30 + 21 + 16 - (5 + -31) - 18? 15 Calculate -4 + 6 + -16 + 8 - (-120 - -98). 16 (74 + -100 - -55) + -29 0 What is 1 + 21 + -1 + (-23 - -10)? 8 Evaluate 1929 + -1986 + 45 + 2. -10 Calculate (-49 - (-8 + 1)) + 50 + -19 + -36. -47 Calculate 71 - -1 - (63 + (-153 - -96)). 66 What is 44 + 7 + (-17 + 29 - 4 - (22 + 0))? 37 Calculate 2 + 11 + (-30 - -4 - -42). 29 (-69 - -19) + 80 - -27 57 Calculate (-10 - (-34 - -41)) + -79 - -24. -72 Calculate (-14 + 10 - 13 - -48) + -41. -10 Calculate (-101 - -15) + 170 + -150. -66 Evaluate 194 + -253 + (2 - -35). -22 What is the value of 131 + 93 + (-350 - -22)? -104 (225 - 233) + 0 + 1 + (136 - 2) 127 Calculate 477 - 473 - (0 + 1 - (1 + -41 - -6)). -31 (-45 + 133 - 64) + (0 - 1) 23 40 + -1 + (23 - -135) + -185 12 What is (1 + -8 - -9) + 11 + 5 + 35? 53 What is the value of (138 - 255 - -197) + -54? 26 (-14 - 6 - -22) + -9 - (0 + -13) 6 What is (20 - 34) + -8 + -19 - (3 - (-6 - -3))? -47 (-25 - (-34 - 10)) + (-1 - (-38 + 6)) 50 -4 - (-4 + -14 - -50 - 16) -20 Calculate (5 - 3) + 72 + -67 + (-16 - -4). -5 What is the value of -19 - (-13 + (2 - -18)) - (1 - 12)? -15 Calculate -3 + (53 - (-32 + 109)). -27 -1 + -47 + 54 + -91 + 37 -48 Calculate 20 + (-17 - (8 + 21 - 23)) + (72 - 1). 68 Evaluate 35 + (-4 - -6) - (-7 - (-8 - (6 - 9))). 39 What is the value of (-1 - -53 - 11) + 4? 45 What is the value of (1 - 1) + (7 - (-16 + (13 - 25) - -12))? 23 What is -1435 + 1445 + 0 + -2? 8 What is -522 - -616 - (-19 + 0)? 113 What is the value of 25 + -16 - (3 - (42 - (-8 + 13)))? 43 Evaluate (-77 - -33) + 55 + 4 + -19. -4 Calculate 3 - -9 - 43 - -26. -5 What is the value of -140 + 76 + 86 + -85? -63 What is 3 + -4 + 2 - (12 - 48)? 37 What is the value of -13 - (5 - 12) - ((-214 - -212) + 0 + -24)? 20 1 - 8 - (-141 + 11 + (10 - 19 - -13)) 119 Calculate (-240 - -270) + (-7 - 6 - -31). 48 What is the value of -14 + (10 - (-10 + 44))? -38 What is the value of -5 + -1 + (-82 - -58 - -14 - (-7 + 1))? -10 Calculate (-184 - -81) + (-155 - -260). 2 What is 0 - -21 - (3043 - 3009)? -13 What is -23 - ((55 - 64) + 7)? -21 -179 + 422 - 242 - (1 + 12 + -1) - 3 -14 Calculate 35 + (20 - 52) + 34. 37 Calculate (-4 - -4) + 23 + -33 + (17 - (-6 + 13)). 0 What is 9 + 27 + -28 + -4 + -5 + (6 - -1)? 6 What is -9 + (-4 - (9 - 4 - (14 - (-12 + -28))))? 36 What is 10 - ((34 + -24 - 15) + -12)? 27 Evaluate -2 + -3 - 71 - ((-9 - (15 - 24)) + -10). -66 (-6 - -13) + -1 + -139 + (28 - 6) -111 Evaluate -13 + 0 - (29 - 7 - 29) - -93. 87 What is the value of (34 - -2) + -677 + 695? 54 Calculate 47 - (0 - 14 - (131 - 144)). 48 What is (170 - (214 + -55)) + ((3 - 6) + 0 - 79)? -71 What is the value of (121 - 72) + -76 - (12 + 3)? -42 Calculate -65 + 24 + -21 + 45. -17 (-9 - (-4 - 16 - -11)) + (5 - -26) 31 2 + (1 - 1) + (51 - 30) + -38 + 30 15 Calculate 24 + (-14 - 0) + 139 + -138. 11 Calculate 22 + -60 + 49 + (-1 + 20 - -1). 31 Calculate -2 + 10 - -1 - (-5962 - -5964). 7 What is (-367 - -362) + (-4 - ((2 - 3) + -21))? 13 1 + 64 - (56 - -40) -31 What is 74 + (2 - 3) + 2 + -20 + 15? 70 What is 2 + -1 + (282 - 310 - (-15 - -1) - -12)? -1 What is the value of (2 - -2) + (-10 - (-33 + 48))? -21 -53 + -27 + (38 - -3) -39 Calculate 67 + -96 + -31 + 13. -47 What is the value of -34 - (9 + (-5 - (17 - 6)) - -4)? -31 Evaluate -40 + (-6 - (23 - (4 - -17) - -16)). -64 What is the value of (-98 - -1) + 0 - ((-112 - -91) + -31 - -59)? -104 What is (10 - 7 - (-6 + 12 + -11)) + 1? 9 What is the value of (232 - 190 - 47) + -79 + (1 - 2)? -85 What is 49 - (16 + (4 - (-17 - (6 + -41))))? 47 What is the value of -34 + 2 - (15 + 49 - 175)? 79 What is 11 + -15 + -24 + -85 + (3 - (-2 - 2))? -106 What is 44 - (74 + (73 - 44))? -59 (1 - 1) + (55 + -34 + 15 - (10 - 1)) 27 What is -2 + (-13 + -1 - (606 - 624)) - (-63 - -2)? 63 Calculate -4 - (8 + 40) - (1 + 6 + -2 + -14). -43 -34 - (-21 - ((-26 + 15 - -3) + 8)) -13 Evaluate -56 + 92 - ((-5 - (-7 - 0)) + (-8 - -10)). 32 Evaluate (10 - -1) + (-2 + -91 - (79 + (-55 - 28))). -78 Calculate (-2044 - -1829) + 2 + 87. -126 Calculate 1471 - 1466 - (3 - -37). -35 -1 - (2 + -14 - -15) - (10 + -1) -13 Calculate -22 + 11 + (19 - 15 - 1). -8 Calculate -2
{ "pile_set_name": "DM Mathematics" }
*2*j**5 + 2*h**2*j + 2*h**2 - 215*j**4 + 3*j**2 wrt j? -60*h**2*j**2 - 5160*j What is the second derivative of 2*a**3*p + 4*a**3*y**2 - 3*a*j**2*y**2 + 13*a*j*p**2*y + 2*a*p**2 + 2*j**2*p*y + j*p**2*y**2 wrt y? 8*a**3 - 6*a*j**2 + 2*j*p**2 What is the second derivative of 5*b**3*o**5 - 817*b**3*o**2 + 6926*b**3*o - b**3 + 2*b**2*o wrt o? 100*b**3*o**3 - 1634*b**3 Differentiate -2*q*z**2 + 8*q*z - 143*q + 5*z**3 + 3 with respect to z. -4*q*z + 8*q + 15*z**2 Find the third derivative of -194*b*j*s**3 + 2*b*s**4 + 15*b*s**2 + 3*b - j*s**4 + 4*j*s**2 wrt s. -1164*b*j + 48*b*s - 24*j*s Differentiate -356*b**3 - 2*b**2*z**2 - 1588*z**2 + 2*z with respect to b. -1068*b**2 - 4*b*z**2 Find the third derivative of 112*r**5 - 20*r**2 - r wrt r. 6720*r**2 Find the first derivative of 42*b**3*v**2 - 285*b**3 + 4*b*v**2 + 2*b + 2*v**4 wrt v. 84*b**3*v + 8*b*v + 8*v**3 Find the first derivative of -2*s**4*t + 11*s**4 + 6*s**2*t - 64*t - 23 wrt s. -8*s**3*t + 44*s**3 + 12*s*t Find the second derivative of 72*o**3*s**3 + 2*o**3 - 2*o**2 - 45*o*s**3 - 3*s**3 wrt o. 432*o*s**3 + 12*o - 4 Find the second derivative of 116*j**5 - 702*j wrt j. 2320*j**3 What is the third derivative of 233*a**3 - 66*a**2 + a wrt a? 1398 What is the third derivative of 39*u**4 + 6*u**2 + 13? 936*u What is the derivative of 59*t**3 + 10 wrt t? 177*t**2 What is the derivative of 97*v**4 + 139 wrt v? 388*v**3 Differentiate 2*b**3 - 151*b**2 + 77. 6*b**2 - 302*b Differentiate 470*o**3 + 2014 with respect to o. 1410*o**2 Find the second derivative of -d**5 + 2443*d**2*y**2 + 5*d*y**2 - 2*d - 11 wrt d. -20*d**3 + 4886*y**2 Differentiate -10*y - 103 wrt y. -10 Find the second derivative of -794*z**3 + 233*z. -4764*z What is the second derivative of -g*l*v**2 + g*l - 2*g*v**2 - 5*g*v - 4*g + 4*l*v**2 wrt v? -2*g*l - 4*g + 8*l Find the first derivative of 5*k**3*o + 208*k*o + o - 1994 wrt k. 15*k**2*o + 208*o What is the third derivative of -2*a**6*k - 8*a**4 + 26*a**3*k**3 + 3*a**2*k**2 - 10*a*k - 5*k**3 wrt a? -240*a**3*k - 192*a + 156*k**3 Differentiate -2714*d - 10835. -2714 What is the third derivative of -63*h**5 + 7*h**3*r - 224*h**2 + h*r wrt h? -3780*h**2 + 42*r What is the first derivative of 2*g*i + 119*g*z + 8*g - 692*i*z wrt i? 2*g - 692*z Differentiate -63*d**3*o**2 + 117*d**3*x - 7*d*o**2*x + 1 wrt x. 117*d**3 - 7*d*o**2 Find the first derivative of -177*k**4 + k**2 + 3184 wrt k. -708*k**3 + 2*k What is the first derivative of 946*l**2 - 822? 1892*l What is the third derivative of -940*l**3 - 2*l**2 - 39*l + 2 wrt l? -5640 Differentiate -131*n**2*t*z**2 + n*t - 21*t*z - 6*z**2 with respect to n. -262*n*t*z**2 + t What is the third derivative of 64*a*r**4 + 29*a*r + 6*a - r**5 - 2*r**3 - 2*r**2 wrt r? 1536*a*r - 60*r**2 - 12 Find the third derivative of 6*n**4 + 66*n**2. 144*n What is the second derivative of 273*g**5*m + g**5 + 7*g**2 - 1143*g*m + 2*g - 2*m wrt g? 5460*g**3*m + 20*g**3 + 14 What is the second derivative of f**3*g**2 + 289*f**3*g - 564*f**2*g**2 - 2*f*g wrt g? 2*f**3 - 1128*f**2 What is the derivative of -54*f**3*i**2 - 8*f**3 - 6*f**2 + 2*f*i**2 - 11*f*i + 5 wrt i? -108*f**3*i + 4*f*i - 11*f Find the third derivative of -57*m*n**3*u**2 - 2*m*n*u**2 - 20*n**3*u**2 + 2*n**2*u**2 - 2*n**2 - 51*n wrt n. -342*m*u**2 - 120*u**2 Find the first derivative of -1871*u**2 - 81. -3742*u What is the second derivative of -5638*b**5 + 3716*b wrt b? -112760*b**3 What is the first derivative of 696*b**2*f**2 + 511*f**2 wrt b? 1392*b*f**2 Differentiate 9*m**3*t - 3*m**2*t + 69*m**2 + 7*t + 1484 with respect to m. 27*m**2*t - 6*m*t + 138*m Differentiate -1571*w**4*z**3 + z**3 - 1328 with respect to w. -6284*w**3*z**3 What is the second derivative of -118*c**5 - 4*c**3 + 9128*c wrt c? -2360*c**3 - 24*c Find the third derivative of -1707*p**3 + 1408*p**2 wrt p. -10242 Find the first derivative of -3*n*t**3 + 2*n*w**3 - 17*t**3*w**3 - t**3*w**2 wrt n. -3*t**3 + 2*w**3 What is the derivative of 367*s**2 + 2*s*x - 122*x wrt s? 734*s + 2*x Differentiate -2*g**2*j + 1215*g*j + g + 9668*j with respect to g. -4*g*j + 1215*j + 1 Differentiate 2236*s**3 - s + 1323 wrt s. 6708*s**2 - 1 What is the third derivative of -907*z**3 - 9*z**2 + 5 wrt z? -5442 What is the second derivative of -388*l**4 + 279*l wrt l? -4656*l**2 Find the first derivative of 2418*g*r**2 - 190*r**2 - 2*r + 1 wrt g. 2418*r**2 What is the first derivative of -3*q**2 + 13*q - 336? -6*q + 13 Find the second derivative of 20*d**3*j**3 + 2*d**3*j + d**3 - 2*d*j + 8*j**3 - 13 wrt d. 120*d*j**3 + 12*d*j + 6*d What is the second derivative of -13206*k**5 + k + 2993? -264120*k**3 What is the second derivative of -58*v**5 - 2*v**3 - 26*v**2 + 228*v? -1160*v**3 - 12*v - 52 Find the third derivative of -6602*g**3 + 3*g**2 - 64*g + 6. -39612 What is the second derivative of 94*a**5*x - 2*a**3*j*x + 3*a*j - 9*j*x + 8*x wrt a? 1880*a**3*x - 12*a*j*x What is the derivative of 52*o*v + 8*o - 3186*v wrt o? 52*v + 8 What is the second derivative of 3*o**2*u**4 + 15*o**2*u**2 - o**2*u + 18 wrt u? 36*o**2*u**2 + 30*o**2 Find the first derivative of -4*q**4 + 80*q - 546 wrt q. -16*q**3 + 80 Differentiate 10409*v**2*z**2 - 40*z**2 - 190*z with respect to v. 20818*v*z**2 What is the second derivative of 16*j**5 - 5*j**3 - 6750*j? 320*j**3 - 30*j Find the second derivative of -358*i**5 - i**4 - i**3*x + 4*i*x - i + 4*x wrt i. -7160*i**3 - 12*i**2 - 6*i*x What is the third derivative of -57*d**4 + 32*d**2? -1368*d Find the second derivative of 3*a**3*q**4 - 106*a**3*q**2 - a**3 + 52*a*q - 2*q wrt q. 36*a**3*q**2 - 212*a**3 What is the third derivative of -2001*u**6 + 7*u**2 + 125 wrt u? -240120*u**3 What is the second derivative of 1184*w**2 - 6*w + 399 wrt w? 2368 What is the third derivative of 14364*c*t**4 + 572*c*t + 2*t**6 - 15*t**2 + 2 wrt t? 344736*c*t + 240*t**3 Find the first derivative of k*n**2*w**3 + 31*k*n**2*w**2 - 3*k*w**3 - 2*k*w**2 + 330*k + 3*n**2 wrt n. 2*k*n*w**3 + 62*k*n*w**2 + 6*n What is the first derivative of k**2*t + 152*k**2 + 15*k*t**2 wrt t? k**2 + 30*k*t What is the third derivative of 32*h**2*p**4 - h**2*p**3 - 8*h**2*p + h*p**2 - 2*p**2 wrt p? 768*h**2*p - 6*h**2 Find the first derivative of 15*f**3*z**2 + 518*f**3 - 28*z**2 wrt z. 30*f**3*z - 56*z Find the first derivative of g**2 - 68*g + 90 wrt g. 2*g - 68 What is the derivative of 8*n**4 + 69*n - 471? 32*n**3 + 69 Find the second derivative of 513*h**4 + 3*h**2 - 1193*h. 6156*h**2 + 6 What is the second derivative of 16*a*w**3 + 30*a*w**2 + 5*a*w - 2*a + 2*w**3 - 3*w**2 + 62*w - 5 wrt w? 96*a*w + 60*a + 12*w - 6 Find the third derivative of 25007*i**4*l + 1772*i**2*l + 2*i**2 - 3*i*l wrt i. 600168*i*l Find the first derivative of -6354*o + 3990 wrt o. -6354 Find the second derivative of -4*m**5*y**2 + 2*m**5 + 17*m**2*y - 2*m*y - y**2 + 14*y wrt m. -80*m**3*y**2 + 40*m**3 + 34*y What is the third derivative of -1577*t**4 + 171*t**2 + 4*t wrt t? -37848*t Differentiate -165*g + 392. -165 What is the third derivative of 2*h*u**5 - 17*h*u**3 + 2*h*u**2 + 13*h*u - 2*u**5 - 7*u**2 wrt u? 120*h*u**2 - 102*h - 120*u**2 Differentiate -233*q**2 - q + 1203 with respect to q. -466*q - 1 Differentiate -o**4*y - 15*o**2*y**3 + y**3 + 5*y**2 wrt o. -4*o**3*y - 30*o*y**3 Find the first derivative of 1550*w**2 + 1798 wrt w. 3100*w What is the derivative of 5*b**4 - 34 wrt b? 20*b**3 What is the derivative of -2*s**2 + 6*s - 474 wrt s? -4*s + 6 What is the first derivative of 4487*h + 5480? 4487 What is the derivative of 1748*l**4 - 2*l**3 + 1402 wrt l? 6992*l**3 - 6*l**2 What is the third derivative of 16*d**5*n - 6*d**5 - d**4 - 2*d**2*n - d**2 - d*n - 122*n wrt d? 960*d**2*n - 360*d**2 - 24*d What is the first derivative of 542*a**2 + a - 28837 wrt a? 1084*a + 1 Find the second derivative of -153*n**2 - 41*n - 2 wrt n. -306 Differentiate 3*k**3 + 527*k**2 + 566. 9*k**2 + 1054*k Find the first derivative of 400*l + 470. 400 Find the third derivative of -54*i*k**2*u**3 - 3*i*k**2 + 2*i*k*u**3 - i*u**3 + 5*k**2*u**2 - k**2 wrt u. -324*i*k**2 + 12*i*k - 6*i Find the first derivative of 2*h**4 - 40*h*j - 4*j - 11 wrt h. 8*h**3 - 40*j Find the third derivative of 5142*h**3 + 32*h**2 - 6 wrt h. 30852 Differentiate -u**4 + 58*u**2 - 2 with respect to u. -4*u**3 + 116*u What is
{ "pile_set_name": "DM Mathematics" }
u (c) -4 b Let l = -63 + 62. Let t = 0.03 - -0.02. Let p = t - 2.05. Which is the nearest to -1? (a) l (b) p (c) 2/11 a Let v = 379 + -378. Let r = -26 + -1. Let k be v + (-6)/r - 1. Which is the nearest to k? (a) -1/3 (b) 2/3 (c) -3 b Suppose 4*k - 32 = -4*n, -2*k = -3*n - n + 32. Which is the nearest to -0.1? (a) 0.054 (b) -4 (c) -3 (d) k d Let b = -1770 - -1775. What is the closest to -0.1 in 3/8, 4.6, b? 3/8 Let y be (448/2352)/(9/(-21)). Which is the closest to -1? (a) 3 (b) 0 (c) y (d) 12 c Let f = 58.19 + -59.19. Which is the closest to -2/3? (a) 3 (b) f (c) 0.037 b Let x = 7 + -6.6. Let l = 238 + -237. Suppose 32 = -11*g - l. Which is the closest to 0? (a) -1/5 (b) x (c) g a Let f = -547 + 612. Let g be ((-25)/30)/((f/(-30))/(-13)). Which is the closest to 0? (a) g (b) -0.2 (c) -45 b Let y(s) = 9*s**2 + 4. Let i be y(2). Let w be (8*(-4)/i)/((-2)/(-3)). Which is the closest to w? (a) -2 (b) 0.1 (c) -0.5 c Let i = -7 - -7. Let a = i - 0.1. Let d = -0.33193 + -0.16807. What is the nearest to a in -0.18, -4/5, d? -0.18 Suppose -4*q - 12*j - 8 = -7*j, 2*q + 4*j + 10 = 0. Let s = -1.5 - -0.5. What is the nearest to q in 0.5, -0.2, s? 0.5 Let q = -0.1 - -0.2. Let p = -80 + -223. Let k = p - -307. Which is the closest to q? (a) 0.2 (b) -0.4 (c) k a Let w = 800 - 799.8. Let h = 10 - 11. What is the nearest to h in w, -0.5, 4? -0.5 Let w = 4.472 - 3.87. Let s = -0.642 + w. What is the nearest to s in 3, -4, -0.7? -0.7 Let v = -0.1 + 1. Let s = v + -1. Let t = -5.103 + 0.103. Which is the closest to -3? (a) -0.4 (b) s (c) t c Let n = -1523449/2051 + 104/293. Let r = 743 + n. What is the closest to r in 0.1, -0.3, -3, -1? 0.1 Suppose 0*d = 25*d - 275. Let r be (1/(-2))/(d/(-6) - -2). Which is the nearest to -2? (a) -0.3 (b) 77 (c) r c Suppose -2 = 4*s + 3*j - 10, -2*j = s + 3. Let f = 60706 - 60709. What is the nearest to -2/3 in s, f, 3? f Suppose 13*v - 14*v - 13 = -4*s, -4*v + 4*s - 52 = 0. Let l be 1/(-2)*-6 + v + 5. What is the nearest to -0.2 in l, 1/9, -9? 1/9 Let x = -7348 + 14699/2. What is the closest to 1 in x, -3/4, -1, 8? x Let n(a) = -18*a - 257. Let l be n(-42). Let b = -12478/25 + l. What is the closest to 0 in -0.1, b, -5, 1? -0.1 Let v be 1600/(-240)*(8/(-5) + 1). Which is the closest to 0? (a) v (b) -0.2 (c) -39 b Let v = -725.513 + 726. Let k = 5.513 + v. Let q = -0.6 + 0.3. Which is the closest to -2? (a) k (b) q (c) 2/5 b Let t = 7 + -2. Let x be ((-15)/20)/1 - 2887/(-3860). Let h = x - 1916/6755. Which is the nearest to h? (a) t (b) -3/7 (c) -0.5 b Let q = -3.416 + 3.446. Which is the nearest to -0.06? (a) q (b) 4 (c) -2 a Let z = 1.413 + -1.213. Let i be 50/14 + (2 - 5). Which is the nearest to z? (a) i (b) -1/13 (c) -1 b Let w = 0.008 + 17.992. Let z = w - -32. Let x = 49.96 - z. Which is the nearest to x? (a) 0.2 (b) 1/2 (c) 2 a Let d = -0.054 + -3.046. Let x = d + 2.1. What is the nearest to x in 0.4, 3, 28? 0.4 Let k be 1*((-3)/(-22))/((-81)/108). What is the nearest to k in 0.04, 27, -2/15? -2/15 Let o = -15379 - -15395. What is the closest to -0.7 in 1.3, o, -5? 1.3 Let g = -16/1743 - 118/5229. Which is the nearest to g? (a) 1 (b) -23 (c) 1/3 c Let i = 8075 + -8076. What is the nearest to 1/2 in 4, i, 1581? i Let t = 30 - 21. Let u = -36.1 + 36.1. What is the nearest to t in -5, u, -4? u Suppose -2*l - 5*m = 3, -5*l + 9*m - 4*m = -10. Let n be (13/4)/(l/8). Let z be n/(-6) - (1 + -5). Which is the closest to -1/3? (a) 2/5 (b) 1/4 (c) z c Let a = -503.8 - -505.8. Suppose -13*u - 22 = -15*u. What is the nearest to -1/2 in a, 4, u? a Let u = 1101 + 13. Let y = -1113 + u. Let j = -293 - -3807/13. What is the closest to 7/2 in j, -0.3, y? y Let v(c) = -49*c - 531. Let m be v(-11). Let g be 2/(2/3) - m/3. Let q = -13/20 + 7/5. What is the closest to 0 in g, 3, q? g Let f = 3622 - 3620. Which is the nearest to 17? (a) f (b) 8 (c) -2/7 b Let t(s) = -s**2 - 5*s. Let j be t(-4). Let m = 5.21 + -227.21. Let v = m - -220. Which is the closest to -1/4? (a) -1 (b) j (c) v a Let f(n) = -n**3 - 2*n**2 + n - 1. Let m be f(-3). Let k = 3413.7 - 3412.9. Which is the closest to 1/2? (a) k (b) -3/7 (c) 0 (d) m a Let k = -13819 + 13817. Which is the closest to 0.08? (a) -5 (b) k (c) -50 b Let u = -0.3 + 0.8. Let i = -66551 - -66553. What is the closest to i in u, 2/3, -8? 2/3 Let k = 3.681 + 0.019. Let w = k - -0.3. Let f = -884/5 - -176. Which is the closest to 5? (a) -1/10 (b) w (c) f b Let v(w) = w**3 + 9*w**2 - 23*w - 5. Let p be v(-11). Which is the closest to -10? (a) -4/3 (b) 2 (c) 1/5 (d) p a Let v = -8202 - -8203. Suppose 0*h - 3*h + 9 = 0. Let s be ((-2)/(-6))/(2/h). Which is the nearest to 2/13? (a) s (b) v (c) -2/3 a Suppose -54 = -5*v + 1. Suppose -2*i = b + 3*i - 9, 3*b = i + v. Suppose -4*f = 2*a, -2*a + 2*f + b = -8. What is the closest to -1/2 in 3/7, a, -3? 3/7 Let h = 0.2 - 0.3. Let o be (-699)/(-2097)*(-30 - -3). Which is the nearest to 1? (a) 2 (b) h (c) o (d) 2/3 d Suppose -184*l + 189*l - 2*v - 8 = 0, 8 = -2*v. What is the closest to l in 1, 205, 15? 1 Let i = 2747.9 + -2632. Let r = 116 - i. Let b = 333 - 4331/13. What is the closest to r in b, 6, -2/3? b Let r = 696.6 + -692.6. Let j(f) = -f + 16. Let t be j(7). Let y = -7 + t. Which is the closest to y? (a) 5 (b) r (c) -0.4 b Let j = 3 + -2. Let t be -67 - -79 - (1 + -2 - (7 + -17)). What is the closest to 0.1 in t, j, 2, -6/11? -6/11 Let x = -2425.5 - -2426. What is the closest to -3 in -92, 0.2, -3, x? -3 Let c = 257/5 + -51. Let l be (2/5)/(2/5). Let r be (18/4)/l*(-4)/(-21). What is the closest to -1/3 in 2/13, r, c? 2/13 Let s = -97 - -680/7. Let u = -0.21622 + 8.21622. Which is the closest to u? (a) -2/7 (b) 1/10 (c) s c Let h be ((-132)/(-19))/4 - 1. Let j = 41/133 - h. Let o = 11.914 - 12.014. Which is the closest to o? (a) j (b) 4/11 (c) 1 a Suppose 2*i - 4*d - 3130 = -i, -2*i = -d - 2085. Let g = i - 1050. Let s = 0.1 + -0.1. What is the closest to g in -0.3, s, -5/2? -5/2 Let z = -1.1 - -1. Let p = 533/4 + -134. Let f be (1 + (-4)/10)*(-13 + (-2231)/(-207)). Which is the closest to f? (a) z (b) p (c) 6 b Let a = 4735.3 - 4735. What is the closest to 2/5 in a, -3, -0.9? a Let i be ((-1)/2)/(2695/70 + -39). Let f = 0.9 - -0.1. Let h = f + -6. What is the closest to -6 in -0.1, i, h? h Let p = -2423.8 + 2424. Which is the nearest to 2/17? (a) p (b) -2 (c) -83 (d) -4/7 a Suppose 0 = 8*a + 136 + 8. Let u be 17/14 + ((-513)/a)/(-19). What is the nearest to u in 8, 0.4, 5? 0.4 Let s = -174289/3252 - -3/271. Let z = s - -160/3. What is the nearest to z in 3, 1/2, -1/8? -1/8 Suppose 3*d = 6*d + 3. Let s be d*1*8/14. Let r = -0.106191 - 5.893809. Which is the closest to -0.1? (a) s (b) -1 (c) r a Suppose 13*q + 405 = 418. Let z be (-3)/(-6)*(-2)/3. Let y be 10/(-8) - (-3)/12. What is the nearest to z in q, -3, y? y Let f = -0.98 + 4.98. Let u(j) = -13*j - 135. Let h be u(-10). Which is the closest to 1/4? (a) h (b) f (c) -27 b Let q = 2075 - 2074.44. What is the nearest to -1 in q, 23, 1? q Suppose -5*r = 5*l - 45, 8*l - 3*l - 9 = 4*r. Let w be (0 + -8 + 9)/(r/2). Let f = 21 - 20.68. Which is the nearest to f? (a) w (b) -1 (c) 4 a Let d(m) = -m**3 + 2*m**2 - 91*m + 92. Let f be d(1). What is the closest to -762 in -0.1, f, -3? -3 Suppose -15 = 4*t + p - 67, -t = -3*p. Suppose t*d - 1 - 47 = 0. Suppose 5*w - 4 = d*w. What is the nearest to 2 in -1, -0.2, w? w Let s = -2374/11 + 216. Suppose 129*p - 116*p - 3510 = 0. Let l = p + -272. Which is the nearest to 23? (a) 3/5 (b) s (c) l a Let v = 1.22 + -8.83. Let h = v - -7.41. Which is the nearest to h? (a) 2/17 (b) 0.3 (c) 1/3 a Let a = -4 + -1. Let o = 0.0216 - -0.2494. Let i = 0.029 + o. What is the closest to 1/3 in i, -3, a? i Let p = 14777 - 14786. Which is the nearest to -4? (a) -3 (b) -0.1 (c) 1/2 (d) p a Suppose 4*m + 19 = 31. Suppose 0 = -3*j - m*w + 27, -5 - 26 = -4*j - 3*w. Let y = -0.11 - 0.39. Which is the closest to -0.1? (a) y (b) j (c) -3 a Let a be 2 + (-44)/2 - 0. Let g = -179/9 - a. Suppose -23 = -3*u + 2*m, -14 = -4*u + 5*m + 26. What is the closest to g in u, 0.5, 4? 0.5 Let x = -4.551 - -4.651. What is the closest to x in 0, -2, -5/2, -124? 0 Let h be 2/4*80/(-24). L
{ "pile_set_name": "DM Mathematics" }
t l(a) = 2 + 19*a - a - 9*a - 10*a. What is the units digit of l(t)? 4 Let d be 6/9 + 17/(-3). Let a(q) = 2*q + 12. Let f be a(d). Suppose l = -1 + 2, -4*c + 146 = -f*l. What is the tens digit of c? 3 Let k = 3260 - 1666. What is the tens digit of k? 9 Suppose 1325 = 2*b + 3*f, 0*f = 3*b - 3*f - 2010. What is the tens digit of b? 6 Let q(r) = -99*r**3 - 6*r**2 - 11*r - 22. What is the units digit of q(-3)? 0 Let h(c) be the third derivative of 0*c**4 + c**2 + 0*c + 0 - 1/2*c**3 + 1/20*c**5. What is the tens digit of h(-3)? 2 Let k(l) = 17*l**3 - l**2 + 3*l. Let d(r) = -r**3 - 7*r**2 - 8*r - 10. Let q be d(-6). What is the units digit of k(q)? 8 Let r be (7 + 7)/(2/4). Let q = r + -14. What is the tens digit of q? 1 Let y(j) = 37*j**2 + 24*j + 102. What is the hundreds digit of y(-12)? 1 Let h be -3 - (-14 - 3/(-1)). Suppose n + 7 = h. Let z(k) = 34*k**2 + 2*k - 1. What is the units digit of z(n)? 5 Suppose -37*m = -9734 - 7804. What is the hundreds digit of m? 4 What is the units digit of (24/(-14))/((-152562)/8974 + 17)? 6 Suppose 0 + 4 = b. Suppose 5*j + b = 14. Suppose -3*f + 4*x = -73, -49 = -3*f - j*x + 36. What is the units digit of f? 7 Suppose 3*s = 2*s + 11. Let r = -7 + s. What is the units digit of 1 + (r + -224)/(-4)? 6 What is the hundreds digit of 34/119 + (29560/28 - -1)? 0 Suppose -l = l. Suppose l - 2 = -n. Suppose 0*b + 2*b = -n*p + 30, 5*p = 2*b + 103. What is the units digit of p? 9 Let g(n) = -n**2 - 9*n - 5. Let x be g(-8). Let y = 5 + -1. Suppose y*t - x*k = -4, t - 1 + 3 = k. What is the units digit of t? 2 Let s(u) = -u**3 + 22*u**2 + u + 196. What is the tens digit of s(21)? 5 Suppose -4*d + 799 = -41. Suppose -d - 160 = -10*r. What is the tens digit of r? 3 Let k(b) = -15*b - 114. What is the units digit of k(-12)? 6 Let z(i) = -i**3 - 2*i**2 + 3*i + 513. What is the tens digit of z(0)? 1 Let x = 3235 - 1094. What is the tens digit of x? 4 What is the tens digit of ((-5379)/(-22))/(15/10)? 6 Let h be (-2)/4 - (-49)/14. Suppose -4*y + h*y = -4. Let m = 14 + y. What is the tens digit of m? 1 Suppose 0 = -3*m + 4*y + 148, -5*m - 5*y + 73 = -127. Suppose -48*q = -m*q - 388. What is the units digit of q? 7 Let x be 0 - -3 - 101*4/(-4). Let q = x + -17. What is the units digit of q? 7 Let p(r) = 20*r**2 + 9*r - 48. What is the units digit of p(4)? 8 Let p be 22/(-33)*(-51)/2. Let r = -13 + p. Suppose -3*q + 58 = 5*w - 34, r*q + 5*w - 131 = 0. What is the tens digit of q? 3 Suppose 0 = -o - o - 5*b + 8194, 0 = -4*o + 4*b + 16332. What is the units digit of o? 7 Let n = 3552 - 2111. Suppose -4*a = -n + 549. What is the units digit of a? 3 Let z = 16 - 12. Suppose -5*l = -5*g + 40, -g - 4*g + 38 = -z*l. Suppose 9*s - 15 = g*s. What is the units digit of s? 5 Let h = -490 - -4139. What is the units digit of h? 9 Let d(l) = -1. Let r(o) = o - 3. Let s(p) = -5*d(p) + r(p). Let k be s(2). Let a(u) = u**3 - 2*u**2 - 2*u + 2. What is the tens digit of a(k)? 2 Suppose 54 = z + 5*z. Let y(s) be the second derivative of s**3/6 - 5*s**2/2 - 2*s. What is the units digit of y(z)? 4 Let y = -1393 - -2018. Suppose -5*w = -0*w - y. What is the tens digit of w? 2 Suppose -4*c - 22 = -4*y + 14, -2*c = 5*y - 17. Suppose 4*p = -5*m + 220, 60 = 2*m + 2*p - 6*p. Suppose m = y*u - 20. What is the tens digit of u? 1 Let z = 443 - -1310. What is the thousands digit of z? 1 Let j = 496 + -340. What is the units digit of j? 6 Let v = 22 - 20. Suppose -v*s + 4*s - 84 = 0. What is the units digit of s? 2 Suppose 0 = 4*s - 3*s - 220. Suppose -2*u - 74 = -s. Suppose -w - 4*j - u = -4*w, -2*j + 4 = 0. What is the tens digit of w? 2 Suppose p + 3*p + 34 = -l, 0 = 4*l + 2*p + 80. Let c = 80 + l. Let y = -9 + c. What is the tens digit of y? 5 Let k(z) = 8*z**2 + 9*z - 34. What is the hundreds digit of k(5)? 2 Let z(g) be the third derivative of -g**6/360 + g**5/120 + 5*g**4/24 - g**3 + 7*g**2. Let q(b) be the first derivative of z(b). What is the units digit of q(0)? 5 Suppose 6*u - 300 - 174 = 0. What is the tens digit of u? 7 Let y = -177 - -133. Let p = -8 - y. What is the units digit of p? 6 Suppose 2*w = -0*w + 20. Let n(a) = 2*a - a**3 - 8*a**2 - 4 - w*a - a. What is the units digit of n(-7)? 0 Suppose 3*r + 2*g + 0 = -1, 4*r - 5*g - 37 = 0. Suppose r*v = 2*z + 36, 51 + 7 = -4*z - v. What is the units digit of (-147)/z + (-4)/(-20)? 0 Let y = -587 + 849. Suppose 131 = g + 3*m, -3*m = g - 3*g + y. What is the tens digit of g? 3 Let b(y) = -2*y**2 - 3*y + 11. Let r(a) = a**2 + 6*a + 3. Let h be r(-4). Let o be b(h). Let q = o - -39. What is the tens digit of q? 1 Let t(v) = -54*v + 29. Let g be t(-12). Let r = -371 + g. What is the units digit of r? 6 Suppose 5*t - 7*f = -4*f + 11, 6 = 3*t - 2*f. Let q = t + -10. What is the units digit of q/(-9)*129/2? 3 Let g(m) be the third derivative of m**4/24 - 4*m**3/3 - 4*m**2. What is the units digit of g(10)? 2 Let r(l) = 3*l**3 + 2*l**2 - 2*l + 9. Let n(t) = -7*t**3 - 3*t**2 + 5*t - 17. Let p(o) = -4*n(o) - 9*r(o). What is the tens digit of p(7)? 2 Suppose 2*u + 11 = -13. Let o be 3948/72 + (-2)/u. Suppose g - 6*g + o = 0. What is the units digit of g? 1 Suppose c - 3*d = -2 + 949, 0 = -3*c + d + 2825. What is the units digit of c? 1 What is the thousands digit of (-67770)/(-18) + (3 - -4)? 3 Suppose -6 = -4*b + 2*b. Suppose 3*i + 12 = 0, 0 = -3*c + b*i + 51 + 42. What is the tens digit of c? 2 Let q(m) = -2*m**3 - 2*m**2 + 6*m. Let l be q(-3). Suppose -4*s = -l - 6. Suppose 0 = s*t - t + g - 78, 0 = -t + g + 18. What is the units digit of t? 6 Suppose -5*l = -9*l. Suppose 0 = 3*t - 4*x + 16, -3*t + 5*x + l*x - 17 = 0. Let u(s) = -3*s + 5. What is the tens digit of u(t)? 1 Suppose 0 = -6*o - 49 + 13. What is the units digit of (o + -48 + 1)/(-1 + 0)? 3 Let i(z) = 253*z**2 - 5*z - 3. What is the tens digit of i(-2)? 1 Suppose 5*j = 8*j - 372. Let o(a) = a - 5. Let x be o(7). Suppose 6*w = x*w + j. What is the tens digit of w? 3 What is the hundreds digit of 7738/10 + -1 + 12/10? 7 Let j = 86 - 21. What is the units digit of j? 5 Let s(x) be the first derivative of -x**3/3 + 48*x - 5. Let f be s(0). Suppose -u + 5*l + f = 0, -4*l = -u - l + 46. What is the tens digit of u? 4 Let k(t) = 2*t + 2. Suppose -4*a + 14 = -2*x, -18 = 5*x - 4*a - 7. What is the units digit of k(x)? 4 Suppose -53306 - 23672 = -22*t. What is the units digit of t? 9 Suppose -2*q + 633 = 3*f, 952 = 3*q + 4*f + f. Suppose -4*w + 114 = 5*h - 123, 0 = -5*w - 2*h + q. What is the units digit of w? 3 Let c(j) = 2*j**2 + 7*j + 6. Let d be c(-7). Let y = -5 + d. Suppose 3*p - y = 106. What is the units digit of p? 2 Let i = 6 - 4. Let g(f) be the second derivative of -f**5/20 + 5*f**4/12 - f**3/6 - f**2/2 + 25*f. What is the units digit of g(i)? 9 What is the units digit of (-4)/(-30) + 59891/255? 5 Let r(l) = 4*l**2 - 7 - 5*l - 7 + 3 - 6. What is the hundreds digit of r(-5)? 1 Suppose -9*y + 5*y = -2*o + 7284, 2*y - 14548 = -4*o. What is the units digit of o? 8 Let o(p) = -p**3 - 6*p**2 + p - 22. Let a(r) = -r**3 - 7*r**2 + r - 21. Let u(t) = -4*a(t) + 3*o(t). What is the units digit of u(-10)? 8 Let t = 1357 + -803. What is the units digit of t? 4 Suppose -2 = 7*d - 9. Let u be (29 + -3)/(0 - d). What is the units digit of 91/u*24/(-14)? 6 Let o = -17 + 17. Let l(r) = r - 30. Let a be l(o). What is the tens digit of a/(-1)*3/6? 1 Suppose 4*p + p - 10 = 0. Let t = p + 4. Let g = 37 - t. What is the tens digit of g? 3 Let a be -4*(-3)/12*1 + 2. Let r(l) = 9*l - 4. Let n be r(4). Suppose m - 5*w + 6 = n, -a*w - 16 = -m. What is the units digit of m? 1 Let l = 130 + -116. What is the tens digit of l? 1 Suppose 771 = 4*u - 1081. What is the tens digit of u? 6 Suppose 3*w + 7*s = 2*s + 382, -5*w + 630 = 5*s. Suppose 0 = 7*q - 523 + w. What is the units digit of q? 7 Let l = 798 + -458. What is the hundreds digit of l? 3 Let u(t) = -t**3 + 22*t**2 - 30*t + 14. What is the thousands digit of u(12)? 1 Let m = 191 - 187. Suppose 11 = 4*w - 9. Suppose -3*p - 2*p - w*z = -15, -3*p = m*z - 9. What is the units digit of p? 3 Let s(j) = -j**3 - 4*j**2 - 3*j - 2. Let r be s(-2). What is the tens digit of ((-291)/r)/((-6)/(-8))? 9 Let l be -5*(2 - (-3)/(-1)). Let u(t) = 3*t - 12. Let x be u(l). Suppose -h = 3*q + 5, 0*h - x*h + 1 = 5*q. What is the units digi
{ "pile_set_name": "DM Mathematics" }
king 1 m and 2 n. 9/28 Three letters picked without replacement from oggoww. What is prob of picking 2 g and 1 w? 1/10 Calculate prob of picking 2 k, 1 p, and 1 j when four letters picked without replacement from {j: 1, p: 1, z: 2, k: 3, r: 3, f: 1}. 1/110 Four letters picked without replacement from wwwwwwwewwwww. Give prob of picking 3 w and 1 e. 4/13 Calculate prob of picking 1 m, 1 z, and 2 y when four letters picked without replacement from myzyyemyymyy. 7/55 Three letters picked without replacement from {o: 1, q: 5, n: 3, s: 5, d: 1, y: 3}. What is prob of picking 1 y and 2 n? 3/272 Two letters picked without replacement from wiiaiawiidqi. What is prob of picking 1 a and 1 q? 1/33 Two letters picked without replacement from kfejjzizjeieifzz. What is prob of picking 1 j and 1 z? 1/10 What is prob of picking 1 z and 1 s when two letters picked without replacement from zvspjkvs? 1/14 Three letters picked without replacement from {o: 1, n: 1, b: 2, h: 1}. Give prob of picking 1 h, 1 b, and 1 o. 1/5 Three letters picked without replacement from {p: 1, o: 8, h: 3, u: 5, j: 2, l: 1}. What is prob of picking 1 h and 2 o? 7/95 Calculate prob of picking 1 j, 1 o, and 2 u when four letters picked without replacement from tujuuuujo. 10/63 What is prob of picking 2 g and 1 m when three letters picked without replacement from grzzmgz? 1/35 Two letters picked without replacement from {a: 2, y: 1, p: 1, h: 2, x: 1, j: 2}. What is prob of picking 1 y and 1 a? 1/18 Calculate prob of picking 1 q and 1 t when two letters picked without replacement from {v: 1, i: 1, t: 3, q: 2}. 2/7 Two letters picked without replacement from {j: 2, i: 1, l: 1, e: 3, b: 5}. What is prob of picking 2 e? 1/22 What is prob of picking 2 n when two letters picked without replacement from {c: 3, b: 1, m: 1, n: 4, z: 1, v: 6}? 1/20 Four letters picked without replacement from qejilljleeejl. Give prob of picking 3 e and 1 l. 16/715 Three letters picked without replacement from drtrtdddddw. Give prob of picking 1 w and 2 d. 1/11 Calculate prob of picking 2 j when two letters picked without replacement from {j: 2, x: 6, f: 9}. 1/136 Calculate prob of picking 1 l and 2 f when three letters picked without replacement from lfdtfqtddfdffdddff. 7/272 Three letters picked without replacement from {c: 4, j: 1, e: 4, u: 2}. Give prob of picking 3 c. 4/165 Three letters picked without replacement from eeeeeueuuu. What is prob of picking 3 e? 1/6 Calculate prob of picking 1 a, 1 j, and 1 e when three letters picked without replacement from leylykja. 1/56 Four letters picked without replacement from {c: 3, n: 3, l: 1, s: 6, u: 3}. What is prob of picking 1 u, 2 n, and 1 l? 9/1820 Three letters picked without replacement from {i: 1, n: 13, q: 1}. Give prob of picking 2 n and 1 i. 6/35 Three letters picked without replacement from xidso. Give prob of picking 1 o, 1 d, and 1 i. 1/10 Two letters picked without replacement from {j: 1, a: 9, n: 1, f: 4}. Give prob of picking 1 n and 1 j. 1/105 Two letters picked without replacement from tddyddttzidzz. What is prob of picking 2 d? 5/39 Calculate prob of picking 1 b, 1 g, 1 t, and 1 u when four letters picked without replacement from {g: 1, j: 1, t: 3, n: 4, b: 4, u: 1}. 12/1001 Calculate prob of picking 1 t and 1 f when two letters picked without replacement from ttttftttttttf. 11/39 Two letters picked without replacement from {r: 2, s: 4, v: 1, y: 4, t: 5}. What is prob of picking 2 s? 1/20 Three letters picked without replacement from {w: 3, k: 5}. Give prob of picking 3 w. 1/56 What is prob of picking 2 j and 1 e when three letters picked without replacement from {j: 16, e: 2}? 5/17 Three letters picked without replacement from oddddddddddddddddd. What is prob of picking 3 d? 5/6 Calculate prob of picking 3 b and 1 t when four letters picked without replacement from btbbtbbtbbb. 28/55 Two letters picked without replacement from {o: 17, a: 1}. Give prob of picking 1 o and 1 a. 1/9 Two letters picked without replacement from cdwc. Give prob of picking 1 w and 1 c. 1/3 Three letters picked without replacement from kkxqxqxjxi. Give prob of picking 2 x and 1 j. 1/20 Calculate prob of picking 1 p and 1 i when two letters picked without replacement from {u: 5, i: 1, p: 4}. 4/45 What is prob of picking 1 h, 1 f, and 1 v when three letters picked without replacement from {f: 2, h: 2, v: 1}? 2/5 What is prob of picking 1 e and 2 r when three letters picked without replacement from rrerrrrr? 3/8 Four letters picked without replacement from {u: 1, q: 1, b: 1, m: 2}. What is prob of picking 1 b, 1 u, 1 q, and 1 m? 2/5 What is prob of picking 2 g and 1 j when three letters picked without replacement from ggjjggg? 4/7 Two letters picked without replacement from iwihwfjljhhi. Give prob of picking 1 h and 1 j. 1/11 Four letters picked without replacement from effeffef. What is prob of picking 4 f? 1/14 What is prob of picking 1 f and 3 m when four letters picked without replacement from ifmmiimimi? 2/105 Four letters picked without replacement from {w: 3, v: 3, h: 1}. Give prob of picking 1 w, 1 h, and 2 v. 9/35 Calculate prob of picking 2 h and 1 w when three letters picked without replacement from {m: 2, w: 1, h: 7, p: 4}. 3/52 Three letters picked without replacement from pggxapxtxxxapppzx. Give prob of picking 1 x and 2 p. 3/34 Three letters picked without replacement from gggggg. What is prob of picking 3 g? 1 Three letters picked without replacement from {w: 8, t: 7, q: 3}. Give prob of picking 3 w. 7/102 Calculate prob of picking 2 r when two letters picked without replacement from {q: 2, u: 1, j: 1, r: 3, b: 4, m: 1}. 1/22 What is prob of picking 4 a when four letters picked without replacement from {a: 5, s: 5}? 1/42 What is prob of picking 2 m and 1 t when three letters picked without replacement from mmkkoemkktktd? 3/143 What is prob of picking 2 r and 2 d when four letters picked without replacement from {r: 5, d: 2}? 2/7 Three letters picked without replacement from looloooolooolloloo. What is prob of picking 2 o and 1 l? 33/68 What is prob of picking 2 z and 1 x when three letters picked without replacement from zzzzvzzzvxx? 14/55 What is prob of picking 1 l, 1 f, and 1 u when three letters picked without replacement from {l: 1, j: 2, u: 1, w: 1, t: 1, f: 1}? 1/35 Three letters picked without replacement from jjfjjffjjjjj. Give prob of picking 3 f. 1/220 Three letters picked without replacement from {e: 15, p: 3}. Give prob of picking 1 p and 2 e. 105/272 Four letters picked without replacement from {f: 1, i: 2, k: 3, w: 1, r: 1, h: 3}. Give prob of picking 1 w and 3 h. 1/330 Four letters picked without replacement from kkbbbkkkkk. Give prob of picking 2 b and 2 k. 3/10 What is prob of picking 1 o and 2 z when three letters picked without replacement from {z: 2, o: 11}? 1/26 Four letters picked without replacement from kwqwqkknnwwwiky. What is prob of picking 1 i, 1 y, 1 n, and 1 q? 4/1365 Calculate prob of picking 1 v, 1 z, 1 x, and 1 p when four letters picked without replacement from zvzpvaxzzzzvavzvazaz. 3/323 What is prob of picking 1 j and 2 u when three letters picked without replacement from uujubhh? 3/35 What is prob of picking 3 a when three letters picked without replacement from {f: 8, a: 3}? 1/165 Calculate prob of picking 2 v when two letters picked without replacement from {t: 4, v: 2, d: 4}. 1/45 Calculate prob of picking 3 n when three letters picked without replacement from {t: 8, z: 2, n: 4, s: 3, v: 2}. 4/969 What is prob of picking 3 n and 1 h when four letters picked without replacement from zzhnnnhgg? 1/63 Three letters picked without replacement from yyvvgeyvmgygvv. What is prob of picking 1 e, 1 v, and 1 g? 15/364 Three letters picked without replacement from {k: 3, o: 1, t: 2, w: 1, p: 3, c: 2}. Give prob of picking 1 p and 2 k. 9/220 Three letters picked without replacement from {b: 3, k: 4}. Give prob of picking 3 k. 4/35 Four letters picked without replacement from vtttlltttval. What is prob of picking 1 a, 2 t, and 1 l? 1/11 Four letters picked without replacement from xejgudg. Give prob of picking 2 x and 2 d. 0 Calculate prob of picking 4 m when four letters picked without replacement from mqmyymmqmmqm. 7/99 What is
{ "pile_set_name": "DM Mathematics" }
? 1/2 Suppose -z + 5 = -2*w, 0 = 14*w - 11*w - 12*z - 45. What is the closest to -0.1 in -4, w, -38, 0.6? 0.6 Let t = 0.1158 - 0.0158. What is the nearest to t in -5/3, -24, 2? -5/3 Let g = 25 + -30. Let n(d) = -d**3 + 10*d**2 - 7*d - 4. Let j be n(9). Suppose -6*v - 40 = -j*v. Which is the closest to -0.07? (a) v (b) g (c) -1 c Let x = -2 + 2.5. Let c = 93.119 + -92.719. What is the closest to 0.2 in c, x, -8/5? c Let c = 464.63 + -470.63. What is the closest to -0.006 in 0.6, -0.2, c? -0.2 Let c = 1.6264 + -1.5264. Suppose 0 = 4*u + 2*i + 7 - 47, -44 = -3*u + 2*i. Suppose 2*s - 12 = -a - 3*a, 4*a - s = u. What is the nearest to c in a, -3, 2? 2 Let j = -1835 + 1835.1. What is the nearest to j in 2/311, -5, 5? 2/311 Let o = -246.81 + 248. What is the closest to o in -1/5, -0.5, -2/19? -2/19 Let q = 36430 - 36429.7. What is the closest to -51 in q, 0.7, -0.4? -0.4 Let b = -3 + 6. Let x = -3.2 + b. Let a = 0.42351 + -0.02351. What is the nearest to x in 3, -4, a? a Suppose 9*j - 42*j + 33 = 0. Let f = 181/3 - 60. What is the nearest to j in -7.8, f, 5? f Let l = -14 + 16. Let p = 3601 - 3601. Which is the nearest to -1? (a) -5 (b) p (c) l (d) -20 b Let m = -0.43 - -0.38. Suppose -2*i = 2*n - 6*i - 68, 4*i - 22 = -n. Suppose -n = -x - 5*y - 9, -y + 9 = 5*x. Which is the closest to x? (a) 3 (b) m (c) -4/3 b Let d = -0.6 - -0.1. Let g = 5.14651 - 0.14651. What is the nearest to -0.1 in d, 1, g? d Let k be (-2)/(-9) - 16/(-36). Let d = 83.374 - 85.2. Let v = -0.174 + d. What is the closest to k in 21, v, 1/5? 1/5 Let v = -341 + 340.809. Let w = v - 0.009. Let k = 6/11 + -79/44. Which is the nearest to 1/4? (a) k (b) -0.08 (c) w b Let l = -124 + 127. Suppose 0 = l*v - 2*p - 5, 0 = 10*v - 6*v - 3*p - 7. Which is the nearest to 9? (a) -3/7 (b) v (c) -1 b Let r = 8 + -6.5. Let a = -625/7 + 89. Let i be (4235/(-435) - -10) + 5*(-8)/(-580). What is the nearest to a in r, i, 1/6? 1/6 Let k be (26/(-572))/(3/(-48)*4). Which is the closest to 1/2? (a) -2/55 (b) k (c) 7 (d) -1/2 b Let n = -3.03 - -0.03. Let g = 0.401 + -0.901. Let v = -115 + 113. Which is the nearest to v? (a) g (b) n (c) 5 b Let u = -258/5 - -50. Let h = -742.8 - -743. What is the nearest to -4 in u, 2/5, h? u Let v = -80 + 81.06. Let b = v - 1. Let l = -1523 + 1528. What is the nearest to 1 in 2/9, b, l? 2/9 Let m = 7.1 + -3.1. Suppose -15*l - 116 = -41. What is the nearest to 2/7 in m, l, 7/5? 7/5 Let l = 1 - 1.05. Let i = 7648 + -7648.5. Which is the nearest to -1? (a) i (b) 4 (c) l a Let u = -20580 + 20577. Let r = -8 - -10. What is the nearest to -2/3 in u, 0.5, r, -1/3? -1/3 Let p = -6 - -12. Let k = 127437 - 127434. Which is the closest to p? (a) k (b) 0.5 (c) -5 a Let a = 0.254 + 0.846. What is the closest to 2/5 in a, 2/5, 1/2? 2/5 Suppose 3*i - 2*c - 36 = c, 0 = i + 2*c - 21. Suppose 12*n - 15*n = -i. What is the nearest to 7/37 in n, 4, 0.1? 0.1 Let n = 0.3 - -0.2. Let k = -3837/4060 - -198/1015. Which is the nearest to 8? (a) 1 (b) k (c) n (d) -1 a Let n = -4788 + 4760. Let c = 1.07 - 0.07. What is the nearest to c in 0, 3/7, n? 3/7 Let o = 0.1 + -0.1. Let x be (12/3)/(28/(-2)). Let y = -219 + 231. What is the closest to o in -0.5, y, x? x Let j be 20 - (-3140)/(-75) - 4/30. What is the nearest to 0 in 0.4, 0.1, j, -0.3? 0.1 Let h = 33 + -11. Let s = h + -27. Let d = 3260 + -3260.7. Which is the nearest to 0? (a) 1/2 (b) s (c) d a Let f = -662.28 - -662.3. Let g be (-1 - 0) + (-21)/(-18). Let j = 125/86 + 2/43. Which is the nearest to 0.1? (a) f (b) g (c) j b Let f = -11 - -10.97. Let d = 2.03 + f. Let u = -13.91 - -13.91. Which is the closest to u? (a) d (b) -5 (c) -3 a Let z be (-4)/(-2)*(-2)/(-8). Let o be 8/52 - 4456/910. Let k = o + 36/7. What is the nearest to z in 0.3, -0.1, k? k Let v = -0.21 + 11.21. Let t = -0.1625 + -0.0165. Let o = -0.021 + t. Which is the closest to 0? (a) v (b) 5 (c) o c Suppose 8*i - 6 = 66. Let v be (2020/110)/(-2) + i. Let s = -7/9 + 31/63. Which is the closest to 2/3? (a) s (b) -0.5 (c) v c Let h = 5 + -13/2. Let m = 17295.5 + -17295. Which is the nearest to 0.2? (a) m (b) h (c) 2/17 c Let j = -1 + 0. Let v = -16713 - -16712.8. What is the closest to 2 in -0.06, j, v? -0.06 Let g = -0.52 - -0.5. Let i = g + 0.42. Let u = -0.03229 - 2.96771. Which is the closest to u? (a) -0.3 (b) 5 (c) i a Let d = 723/5 - 144. Suppose -28 + 24 - 64 = 34*q. What is the nearest to d in 0.4, q, 2? 0.4 Let c = 8686.7 + -8684. What is the nearest to c in 1/5, 18, 1, 3? 3 Let z = -3905.5 + 3906. Suppose -o + 1 - 2 = 0. What is the closest to 3 in o, z, 3? 3 Let q = 19 - 18. Let y = 10.5 + -10.1. Suppose 22 = 4*g + 2*t, 10 = 4*g + t - 7. Which is the closest to q? (a) 0.5 (b) g (c) y a Let r = 51.35 + -115.35. Which is the nearest to 2/5? (a) -4 (b) 2 (c) r b Let c = 337.2 + -336. Let m be 1 - -2 - (1 - 0). Suppose -g - 5*i = -30, 5*g = m*i - 2 + 17. What is the nearest to 1/4 in g, -0.1, c? -0.1 Let o = 0.8 + -0.8. Let u = 5.58 + -5.58. Let h = 0 + -0.4. Which is the closest to u? (a) h (b) o (c) 4 b Let s = 0 - -5. Let x be 4/6 + 56/(-30) - (-10 + 7). Which is the closest to x? (a) s (b) 4/5 (c) -0.5 b Let j = 4782140/111 - 43082. Let k = 12/37 + j. What is the nearest to -2 in 1/4, k, 3? 1/4 Let m = 331/501 + 1/167. Let i = 448/5 + -90. Which is the closest to i? (a) 3 (b) -4/7 (c) m b Let p(f) = -66*f + 8116. Let x be p(123). What is the closest to -2446 in x, -5, 1/5? -5 Let d = -34.7 - -2.1. Let r = -32.7 - d. Let w = 0 + 0. What is the closest to r in w, -1, -5? w Let y = 14.103 + -13.703. Let l = -1.99 + -0.01. Which is the closest to y? (a) l (b) -0.4 (c) 2 b Let r(l) = -l**3 + 22*l**2 - 37*l - 13. Let g be r(20). Let w = g - 29. Let h be w/12*2/5. What is the nearest to 1/2 in -1/4, h, -1? h Let r = 0.82 + -0.92. Let y(m) be the second derivative of -m**4/12 + 18*m**2 - 9*m. Let u be y(6). Which is the nearest to r? (a) -2 (b) u (c) -2/3 b Let u = 34.8 - 35. Let w = -6/19 + 43/76. Which is the closest to w? (a) 0.6 (b) 1/2 (c) u b Let x = 0.5 + 2.5. Let p = 161.892 - 161.692. What is the nearest to 1 in x, p, 1/13, -3/5? p Let o = -86097/7 + 12300. Which is the nearest to 0? (a) -3/40 (b) -3 (c) -2/5 (d) o a Suppose 3*y - v = -y + 11, 1 = -y - v. Let n = -1240 - -1240.1. What is the closest to n in -1/6, y, -4, -3? -1/6 Let x be 14/4*646/(-2261). Let p = -1.2 - -1. What is the closest to -1 in 3, p, x, -1/3? x Let g be 3/12 + (-1 + 3 - 2). Let m = 7.93 + -8.33. Let n be 2 - (0 + (-14)/(-2)). Which is the closest to -1? (a) n (b) m (c) g b Let t = -0.219 + 0.119. Let j = -233 - -239. Which is the nearest to t? (a) j (b) 0.7 (c) 3/2 b Let g(t) = 14 + 2*t - 14 - 29. Let z be g(14). What is the closest to z in -0.3, 0.1, 0.2? -0.3 Let g = -43930 + 307507/7. Let h = -0.06 - 3.94. Which is the closest to 1/2? (a) g (b) h (c) -0.1 (d) 1/4 d Let f(m) = 3*m + 45. Let d be f(-7). Suppose -4*l + d = -2*v, 0*l + 19 = 3*v + 5*l. Which is the closest to v? (a) 0.1 (b) -5 (c) 7 a Suppose -5*r = -12*r. Let m be r + (0 + 1)/(16 - 15). Let k be ((-9)/2 + 3)*m/6. Which is the closest to -2/3? (a) 0 (b) k (c) 1 b Let h = 6 + -5.976. Let y = 0.524 - h. Let o = 4.9 - 0.9. What is the nearest to 1/6 in o, y, -0.4? y Let u = 2.8 + -3. Let m = -188104 - -3950182/21. Let s = -5.94 + -0.06. What is the closest to s in m, u, 3/2? u Let u = -12090 - -12092. What is the closest to -1/4 in 0.2, 6, u, -1.8? 0.2 Let v = 6.92073 - -0.07927. Which is the nearest to 0? (a) -0.012 (b) -0.07 (c) v a Suppose 0 = r + 8, -4*r = 2*z + 19 + 29. Which is the closest to -2/5? (a) -14 (b) z (c) -0.3 (d) -9 c Let m = 0.95 + 0.84. Let h = -2.79 + m. Let a = 677/9 - 75. What is the closest to a in 2/9, h, -3/5? 2/9 Let r = -13 - -18. Let i = 0.6 + -1. Let t(p) = p**3 - 7*p**2 + 13*p - 3. Let w be t(3). Which is the closest to r? (a) w (b) i (c) 3 c Let n = 70.46 + -70.66. Let m be (-78)/(-378) + 4/18. What is the nearest to n in -2/7, m, 2? -2/7 Let w = -0.45 + 0.05. Let f = 3261 - 3256. Which is the closest to -1? (a) 3 (b) 0.1 (c) w (d) f c Let t be ((-143)/88 + 1)*(-2)/5. Which is the nearest to t? (a) -94 (b) 2 (c) -1/9 c Let k = -620/939 - 2/313. Let q = -1006 - -1005.3. Let y be 4/(
{ "pile_set_name": "DM Mathematics" }
s? 21.1352 How many months are there in 23/3 of a decade? 920 How many millimeters are there in 692.6069cm? 6926.069 What is fourty-two fifths of a litre in millilitres? 8400 What is 11/10 of a litre in millilitres? 1100 What is 27/2 of a microsecond in nanoseconds? 13500 What is fifteen quarters of a milligram in micrograms? 3750 How many milligrams are there in 393.3499 nanograms? 0.0003933499 What is 8859.33 millennia in centuries? 88593.3 How many micrometers are there in 933.89nm? 0.93389 How many weeks are there in 74816.2548 milliseconds? 0.000123704125 What is 92.02477 millilitres in litres? 0.09202477 How many weeks are there in 341.75799 minutes? 0.0339045625 How many months are there in 11/10 of a century? 1320 How many months are there in 79.15508 centuries? 94986.096 How many milligrams are there in fourty-two fifths of a gram? 8400 How many grams are there in twenty-seven halves of a kilogram? 13500 Convert 5493.706um to meters. 0.005493706 What is three fifths of a millennium in decades? 60 How many minutes are there in 3/56 of a week? 540 How many nanometers are there in 13/5 of a micrometer? 2600 How many millilitres are there in 0.0922583 litres? 92.2583 Convert 8074.74 millilitres to litres. 8.07474 Convert 3684.535 centimeters to millimeters. 36845.35 What is 2/45 of a hour in seconds? 160 What is 7.745072 millilitres in litres? 0.007745072 What is 1/24 of a day in minutes? 60 What is 6.917654 seconds in nanoseconds? 6917654000 Convert 56228.22 days to nanoseconds. 4858118208000000000 Convert 568.2564 hours to seconds. 2045723.04 What is 1/4 of a kilometer in meters? 250 How many micrometers are there in 17/2 of a millimeter? 8500 How many minutes are there in 2.635607 hours? 158.13642 How many millimeters are there in eighteen fifths of a centimeter? 36 What is 51088.8 nanograms in grams? 0.0000510888 What is thirty-one halves of a litre in millilitres? 15500 What is seven halves of a gram in milligrams? 3500 What is 0.9263421 centuries in years? 92.63421 What is 65642.58 millennia in years? 65642580 Convert 438.088 weeks to days. 3066.616 What is 6.425675 litres in millilitres? 6425.675 What is 84734.02 millennia in months? 1016808240 What is seventeen halves of a millennium in years? 8500 What is 1/10 of a litre in millilitres? 100 How many hours are there in four sevenths of a week? 96 What is 9/25 of a hour in seconds? 1296 How many millimeters are there in twenty-one fifths of a centimeter? 42 How many decades are there in one twentieth of a millennium? 5 Convert 13379.01 years to decades. 1337.901 How many minutes are there in thirteen ninths of a week? 14560 How many months are there in 443731.1 decades? 53247732 What is 44636.19 days in milliseconds? 3856566816000 What is one tenth of a kilometer in centimeters? 10000 What is 16078.32ml in litres? 16.07832 What is 65.4509l in millilitres? 65450.9 What is 3/16 of a centimeter in micrometers? 1875 Convert 1.758829mm to meters. 0.001758829 What is 11919.0771 minutes in weeks? 1.182448125 What is one fifth of a litre in millilitres? 200 How many millilitres are there in 63.05935l? 63059.35 What is 0.4560633 litres in millilitres? 456.0633 How many kilograms are there in 3/10 of a tonne? 300 How many months are there in 21/4 of a century? 6300 How many minutes are there in twenty-three thirds of a hour? 460 How many months are there in 6/5 of a century? 1440 What is twenty-nine fifths of a millennium in decades? 580 What is 707.8068ns in hours? 0.000000000196613 How many millimeters are there in 81/4 of a meter? 20250 How many nanometers are there in 1.842904 micrometers? 1842.904 What is 13/5 of a milligram in micrograms? 2600 Convert 564721.3 centuries to years. 56472130 How many minutes are there in 27/5 of a week? 54432 How many millilitres are there in 53/5 of a litre? 10600 What is ninety-one quarters of a meter in centimeters? 2275 What is 2954.186cm in nanometers? 29541860000 What is 0.3479746 micrometers in meters? 0.0000003479746 How many kilograms are there in 37/5 of a tonne? 7400 How many millilitres are there in 401.1913 litres? 401191.3 What is 57/2 of a meter in centimeters? 2850 What is 717.7199 kilograms in micrograms? 717719900000 What is 84.0421 tonnes in nanograms? 84042100000000000 What is 3/10 of a microgram in nanograms? 300 What is two fifteenths of a decade in months? 16 Convert 325.9101l to millilitres. 325910.1 Convert 6157.338 nanometers to kilometers. 0.000000006157338 How many grams are there in 6/25 of a kilogram? 240 How many kilograms are there in three eighths of a tonne? 375 How many nanometers are there in 18.91683mm? 18916830 How many decades are there in 2439668.4 months? 20330.57 Convert 77.64368 weeks to minutes. 782648.2944 How many nanometers are there in 38.81717 kilometers? 38817170000000 How many weeks are there in 1392706.98 microseconds? 0.00000230275625 How many meters are there in 2931.656 millimeters? 2.931656 What is 7/4 of a decade in months? 210 How many months are there in three fifths of a century? 720 How many milliseconds are there in three eighths of a minute? 22500 How many decades are there in 21/4 of a millennium? 525 How many milligrams are there in three fifths of a gram? 600 Convert 0.1321754cm to nanometers. 1321754 Convert 9.292327g to kilograms. 0.009292327 Convert 59.32487m to kilometers. 0.05932487 What is 5/4 of a litre in millilitres? 1250 How many millennia are there in 196.85472 months? 0.01640456 What is five quarters of a year in months? 15 How many months are there in 1/4 of a year? 3 How many nanograms are there in 4433.288g? 4433288000000 What is one tenth of a century in years? 10 What is 8/7 of a week in minutes? 11520 How many millilitres are there in 11/8 of a litre? 1375 How many hours are there in 31444.569ns? 0.0000000087346025 What is 3/40 of a milligram in nanograms? 75000 How many centimeters are there in 91037.44m? 9103744 How many years are there in fourty-five quarters of a century? 1125 What is 47.69673km in micrometers? 47696730000 How many months are there in seventy-one thirds of a decade? 2840 How many centimeters are there in 1/4 of a meter? 25 What is 36201.74 litres in millilitres? 36201740 What is 9/25 of a meter in centimeters? 36 How many millilitres are there in 27/2 of a litre? 13500 Convert 1.06679km to millimeters. 1066790 How many grams are there in 951.1517mg? 0.9511517 How many centimeters are there in fifty-one fifths of a meter? 1020 What is 1/4 of a second in milliseconds? 250 How many months are there in 1/16 of a century? 75 What is 1.65418km in meters? 1654.18 What is 3677.385 months in centuries? 3.0644875 Convert 3743.37 months to millennia. 0.3119475 Convert 139003.8 microseconds to milliseconds. 139.0038 What is 0.7279476 centuries in months? 873.53712 How many centuries are there in 9/10 of a millennium? 9 What is five quarters of a second in milliseconds? 1250 How many millimeters are there in three eighths of a meter? 375 What is 1.375209kg in nanograms? 1375209000000 What is 11/4 of a day in minutes? 3960 Convert 1.271783ng to tonnes. 0.000000000000001271783 How many centuries are there in 5.016603 decades? 0.5016603 How many kilograms are there in thirty-four fifths of a tonne? 6800 How many milliseconds are there in three eighths of a second? 375 How many litres are there in 0.0171948 millilitres? 0.0000171948 How many millilitres are there in 13/4 of a litre? 3250 What is 0.4431858 microseconds in seconds? 0.0000004431858 What is 88.4828nm in kilometers? 0.0000000000884828 How many microseconds are there in 46153.4ms? 46153400 What is 43/2 of a centimeter in millimeters? 215 Convert 258.7906cm to kilometers. 0.002587906 Convert 98.41223 millennia to decades. 9841.223 What is twenty-seven halves of a litre in millilitres? 13500 What is 3/10 of a decade in years? 3 What is one fifth of a kilogram in grams? 200 What is 458809.6 millennia in years? 458809600 What is 5/4 of a kilogram in grams? 1250 What is 0.9396561 years in millennia? 0.0009396561 What is 62.95316ug in kilograms? 0.00000006295316 How many kilograms are there in 99209.44mg? 0.09920944 What is 13/5 of a kilogram in grams? 2600 What is 39.51398cm in micrometers? 395139.8 How many
{ "pile_set_name": "DM Mathematics" }
d(r) + 13*n(r)? -2*r**3 - 3107*r Let c(f) = -5*f + 56. Let x(d) = -22*d + 245. Let h(l) = -9*c(l) + 2*x(l). Let q(a) = a - 21. Give -7*h(b) + 5*q(b). -2*b - 7 Let b(w) = 2*w**3 - 4*w**2 + 2*w + 2. Suppose -5*y + z + 14 = 0, -21 = -y - 2*z - 27. Let n(p) = 2*p**3 - 3*p**2 + 3*p + 2. Calculate y*b(l) - 3*n(l). -2*l**3 + l**2 - 5*l - 2 Let b(v) = -19*v**2 + v - 43. Let c(a) = 14*a**2 - a + 32. Let y(w) = -3*b(w) - 4*c(w). Let u(g) = -4*g**2 + 5*g + 9. Determine u(t) - 5*y(t). -9*t**2 + 4 Let f(y) = 3*y - 371. Let c(u) = 2*u - 196. Calculate -5*c(b) + 3*f(b). -b - 133 Let n(f) = 9*f**3 + 2*f**2 + 7*f - 9. Let p(o) = -10*o**3 - 3*o**2 - 9*o + 11. What is 5*n(u) + 4*p(u)? 5*u**3 - 2*u**2 - u - 1 Let k(h) = -21*h**3 - 10*h**2 + 10*h + 24. Let u(s) = 10*s**3 + 6*s**2 - 6*s - 11. Give -3*k(g) - 5*u(g). 13*g**3 - 17 Let s(z) = 5*z**2 - z + 5. Suppose 22374 = 3*r + 22368. Let m(f) = -f**2 + f - 1. What is r*m(p) + s(p)? 3*p**2 + p + 3 Let o(j) = 2*j**3 - 2*j**2 + 2*j + 3. Let h(i) = -i**2 - i. Let w(m) = 10*m + 421. Let b be w(-42). What is b*o(n) - 2*h(n)? 2*n**3 + 4*n + 3 Let y(o) = -14*o**2 + o + 2. Let m(g) = 237*g**2 + 2*g - 5. Calculate m(w) + 3*y(w). 195*w**2 + 5*w + 1 Let s(m) = 2311*m**3 + 4*m**2 - 2*m + 2. Let f(y) = -4621*y**3 - 10*y**2 + 4*y - 5. Calculate 2*f(o) + 5*s(o). 2313*o**3 - 2*o Let l(i) = 5*i + 15*i + 15*i + 14*i + 24*i - 72*i. Let c(x) = 6*x - 5*x + 8*x. Determine -2*c(h) + 21*l(h). 3*h Let w(f) be the second derivative of -f**3 + 2*f**2 + f. Let n(k) = 5*k - 4. Suppose 268 = -275*o - 832. Determine o*w(j) - 5*n(j). -j + 4 Let o(f) = -206*f - 29. Let g(d) = 2*d + 7. Determine -2*g(v) - o(v). 202*v + 15 Let k(t) be the first derivative of -3*t**2/2 - 45*t + 36. Let n be k(-16). Let m(q) = -q**3 + 8*q - 1. Let a(x) = -2*x**3 + 9*x - 1. Calculate n*m(g) - 2*a(g). g**3 + 6*g - 1 Let a(z) = z + 7. Let s be a(-5). Let h(u) = -10*u + 4*u + 5*u. Let p = -7328 - -7372. Let r(j) = 2*j**2 + 22*j. What is p*h(q) + s*r(q)? 4*q**2 Let c(y) = 7*y**3 - 2*y**2 + 2*y - 2. Let d(u) = 85*u**3 - 25*u**2 + 25*u - 25. Let o(p) = -22*p - 2115. Let g be o(-95). Give g*c(t) + 2*d(t). -5*t**3 Let v(s) = -2*s**2 - 4*s - 4. Suppose -24*a - 19 = -2 - 65. Let w(i) be the first derivative of -1/2*i**a - 38 - i. Determine -v(p) + 4*w(p). 2*p**2 Let y(q) = 12*q - 18. Let u(l) = 133*l - 189. Calculate 5*u(g) - 56*y(g). -7*g + 63 Let s(c) = 9*c**2 - 65*c - 4. Let o(k) = -10*k**2 + 66*k + 5. Calculate -5*o(d) - 6*s(d). -4*d**2 + 60*d - 1 Suppose -67*q = -72*q + 31*u - 506, 84 = -2*q + 5*u. Let l(m) = -15*m + 2. Let b(t) = -3 + 3 - 16*t + 3. Determine q*b(n) + 3*l(n). -13*n Let o(u) = 11*u**3 - 9*u**2 - 6*u + 5. Let m(p) = 54*p + 52*p + 47*p + 16*p**3 - 13*p**2 + 7 + 50*p - 212*p. Give -5*m(n) + 7*o(n). -3*n**3 + 2*n**2 + 3*n Let p(s) = 3*s. Let i = -9688 + 9691. Let k(w) = 4*w - 1. Calculate i*k(o) - 3*p(o). 3*o - 3 Let d(s) = -18*s + 1. Let o(f) = -2*f - 33. Calculate 2*d(x) + o(x). -38*x - 31 Let w(x) = -9*x**3 + 3*x**2 + 3*x - 2. Suppose 4*b - 15 = -3. Let y(j) = 22*j + 30*j + 32*j - 111*j + 32*j - 3 + 5*j**2 - 17*j**3. Determine b*y(o) - 5*w(o). -6*o**3 + 1 Let p(q) = 11*q**3 - 5*q**2 + 34*q + 21. Let u(s) = 12*s**3 - 6*s**2 + 34*s + 25. Give -6*p(l) + 5*u(l). -6*l**3 - 34*l - 1 Let n(x) = -2 - 23*x - 3 + 24*x - 1. Let j(t) = 9*t - 609. Let k(m) = -m + 63. Let q(r) = 4*j(r) + 39*k(r). Calculate 18*n(p) + 5*q(p). 3*p - 3 Let h(z) = -z - 3. Let r(n) = n**2 + 10*n - 4. Let q be r(-10). Let f be 0 + 3 - 4*(-4)/2. Let p(m) = -3*m - 8. Calculate f*h(j) + q*p(j). j - 1 Let t(q) = -q + 14. Let n be t(-10). Let h(c) be the first derivative of 3*c**3 + 4*c**2 - 8*c + 940. Let b(f) = -f**2 - f + 1. Calculate n*b(x) + 3*h(x). 3*x**2 Let m(g) = 48*g + 1. Let t(y) = 107*y. Let q(j) = 9*m(j) - 4*t(j). Let c(d) = -3*d - 10. Determine -6*c(w) - 5*q(w). -2*w + 15 Let d(t) = 38151*t - 2193. Let c(k) = 3815*k - 209. Determine 21*c(h) - 2*d(h). 3813*h - 3 Let p(u) = 2*u**2 + 9*u - 3. Let o(s) = -3*s**2 - 17*s + 5. Let i(n) = -n - 9. Let r be i(-12). Let y be 0 + -1 - (27 - 33). Calculate r*o(h) + y*p(h). h**2 - 6*h Let d(j) = -25*j**3 - 20*j. Let c(o) be the third derivative of -o**6/24 - o**4/6 + 1016*o**2. What is -11*c(z) + 2*d(z)? 5*z**3 + 4*z Let v(b) = 22*b**2 + 60 + 73 - 261 + 63 + 67. Let f(c) = 109*c**2 + 11. What is 2*f(z) - 11*v(z)? -24*z**2 Let c(o) = 552*o**3 + 2*o**2 - 4. Let w(s) = -1105*s**3 - 8*s**2 + 11. Give 5*c(p) + 2*w(p). 550*p**3 - 6*p**2 + 2 Let c be -4 + 7/28*-4. Let x(s) = 2*s**3 - 2*s. Let g(z) = 2*z**3 - 2*z. Let f be -3 - 2 - (-16)/(-4). Let d = -5 - f. Determine c*g(p) + d*x(p). -2*p**3 + 2*p Let b(l) = -l**2. Suppose 2*i - 613 = 2*h + h, 5*h - 313 = -i. Let w(f) = -i*f**2 + 0 + 1 + 306*f**2. Determine -4*b(k) + 3*w(k). -2*k**2 + 3 Let u(g) = -43*g + 2. Let j(t) = 2196*t - 34 - 2225*t + 35. What is 7*j(m) - 5*u(m)? 12*m - 3 Let g be (2 - 4)/((-394)/197). Let v(s) be the second derivative of -s**2/2 + 2*s. Let j(m) = 6*m + 6. What is g*j(b) + 6*v(b)? 6*b Let n(j) = j**2 - 2*j - 6. Let i be n(-2). Let k(b) = -5*b + b + 6 - 2*b + b**i + 4*b**2. Let f(h) = 2*h**2 - 2*h + 2. Determine 8*f(g) - 3*k(g). g**2 + 2*g - 2 Let s(g) = 2*g - 11. Let z(a) = -96*a + 12. Calculate -2*s(h) - z(h). 92*h + 10 Let q be (-18)/24 - 0 - 72/32. Let d(l) = -29*l**3 + 5*l**2 + 5. Let y(w) = -3 - 7*w**3 + 50*w**3 - 28*w**3 - 3*w**2. Determine q*d(b) - 5*y(b). 12*b**3 Let n(t) = -2*t - 1. Let r = -180 - -175. Let x(c) be the second derivative of -c**3/3 + 160*c. Give r*n(u) + 6*x(u). -2*u + 5 Let t(c) = 3*c**3 + 5*c**2 - 1. Let l(v) = v**3 + 2*v**2. Suppose -758 = 12*u - 14. Let g be (-3)/(-18) - u/(-12). Calculate g*l(k) + 2*t(k). k**3 - 2 Let d(x) = 3*x - 1. Let q(o) = -203*o + 8. What is -7*d(j) - q(j)? 182*j - 1 Let l(j) = -37*j + 1. Let k(s) = -4134*s - 1 + 2081*s + 2071*s. What is 5*k(p) + 3*l(p)? -21*p - 2 Let d(z) = 4*z**3 + 6*z**2 + 5*z - 6. Let f(j) = -5*j**3 - 7*j**2 - 6*j + 7. Let g be 25/10*28 - (-6 + 3). Let q = g - 68. What is q*f(l) + 6*d(l)? -l**3 + l**2 - 1 Let w(z) = -788*z + 789*z + 0 + 1. Let h(p) = 9*p - 9. Calculate -h(u) - 9*w(u). -18*u Let m(g) = g**3 - 6*g**2 - 3*g + 2. Let i(s) = 199*s + 4771. Let r be i(-24). Let k(b) = 2*b**3 - 13*b**2 - 5*b + 5. Determine r*m(f) + 2*k(f). -f**3 + 4*f**2 + 5*f Let z be (1134/1323)/(2/(-14)). Let u(s) = 56*s**2 - 49. Let i(q) = 4*q**2 - q**2 + 4*q**2 - 6. Calculate z*u(n) + 49*i(n). 7*n**2 Let k(x) = 0 + 1 + x + 1. Let l be 19 + (5/(-10))/((-6)/(-276)). Let f(v) = -v - 3. Give l*f(y) - 5*k(y). -y + 2 Let n be (2 - 45/30) + 1. Let q(c) be the first derivative of n*c**2 - 2*c - 14. Let y(r) = 5*r - 3. Determine -8*q(w) + 5*y(w). w + 1 Let i(z) = -2*z**2 - z - 2. Let q = 1 - 3. Let r(h) = h**3 + 7*h**2 + 4*h + 7. Let b = 63500 - 63507. Give b*i(p) + q*r(p). -2*p**3 - p Let y(x) = 1742*x**2 - 126 - 1729*x**2 + 64 + 66 + 2*x. Let d(q) = -12*q**2 - 3*q - 5. What is 3*d(a) + 4*y(a)? 16*a**2 - a + 1 Suppose 0*x - 63 = x. Suppose 5*l - 5*w + 146 + 134 = 0, -5*w = 2*l + 147. Let u = l - x. Let r(a) = -7*a + 1. Let m(t) = -3*t. Determine u*r(h) - 5*m(h). h + 2 Let p(z) = -159836*z. Let v(n) = -3229*n. Give 5*p(l) - 248*v(l). 1612*l Suppose -23*r - 140 + 209 = 0. Let u(i) = 25*i**3 - 5*i + 3. Let z(x) = 50*x**3 - 9*x + 5. Give r*z(a) - 5*u(a). 25*a**3 - 2*a Let f(h) = -16*h - 12. Let b(n) be the third derivative of -n**4/24 - n**3/6 + 1176*n**2. What is -60*b(i) + 5*f(i)? -20*i Let b(w) = 2*w**2 + 1. Suppose -4*i = 2*x + 2, 5*i + 6 = i + 2*x. Let h = 591 + -590. Let p(t) be the first derivative of t**3/3 + t - 1. Give h*p(d) + i*b(d). -d**2 Let n be (-38*1)/(((-336)/(-36))/(-14)). Let g = 69 - 13. Let j = n - g. Let x(m) = 2*m - 3. Let h(a) = -1. Determine j*x(c) - 2*h(c). 2*c - 1 Suppose 0 = -x + 4, -5*o + 913*x = 917*x - 31. Let s(v) = 9*v**3 - 3*v**2 - 2*v + 5. Let p(a) = 18*a**3 - 5*a**2 - 4*a + 9. Determine o*p(g) - 5*s(g). 9*g**3 - 2*g + 2 Let p(i) = 11*i + 44. Let s(d) = 6. What is p(c) - 4*s(c)? 11*c + 20 Let j(l) = 25*l**3 - 42*l**2 - 15*l + 66. Let c(y) = -4*y**3 + 6*y**2 + 2*y - 9. Give -15*c(m) - 2*j(m). 10*m**3 - 6*m**2 + 3 Let i(t) be the first derivative of -t**2 - 2*t - 10. Let d(y) = -y + 462 - 462. Let m be -1 + 4/12 + (-3)/9. What is m*i(w) + d(w)? w + 2 Let j(v) = 4*v**3 + 5*v**3 + 6*v + 7*v. Let m(d) = 2*d**
{ "pile_set_name": "DM Mathematics" }
2*k - k). 2*k**2 - 4*k Expand 2*y - 6*y + 3*y + (-y - 2*y + 4*y)*(-1 + 2 - 3) + (1 + 3 - 5)*(-y + 2*y + y). -5*y Expand (5 - 1 - 2)*(62*p - 33*p - 67 - 31*p). -4*p - 134 Expand (-2*c**4 - 3*c**4 + 0*c**4)*(0 - 5 - 6)*(2*c + 1 - 1). 110*c**5 Expand -3*p**3 + p**3 + p**3 - 2*p**3 + 8*p**3 - 2*p**3 + (-5*p**2 + 0*p**2 + 4*p**2)*(p - 2*p + 3*p) - 4*p**3 + 4*p**3 + 2*p**3. 3*p**3 Expand -3*x**4 + 0 + 0 + (-1 + 1 - 2*x**3)*(0*x - 2*x - x). 3*x**4 Expand ((-2*g - 3*g + 6*g)*(0 - 2 + 0) + 2*g - 4*g + g - g + 3*g - g - 4*g + g + 4*g + 0 - g + 0)*(-12*g**3 - 5*g**3 + 16*g**3 + 1). 2*g**4 - 2*g Expand k**5 - 5*k**5 + 0*k**5 + (5*k - 3*k + 0*k)*(3*k**4 + 0*k**4 - 4*k**4). -6*k**5 Expand (-9 - 4 + 2)*(6 - 6 - 2*p). 22*p Expand (0*a**5 + 2*a**5 - a**5)*(1 - 3 + 4) - 1 + 1 + a**5. 3*a**5 Expand (0*o + 7 - 11 + 5*o)*(3 - 4 + 0). -5*o + 4 Expand (2*d - 3*d - d)*(d**2 + 0*d**2 - 2*d**2) + 0*d**3 + d**3 + 4*d**3. 7*d**3 Expand (4*c**2 + 2*c**2 - 5*c**2)*(2 + 0 - 4) + (-2 + 2 + 2)*(5*c**2 + 2*c - 2*c). 8*c**2 Expand -c**2 + c**3 + 0*c**3 - c**2 + (-44 + 44 - 11*c)*(2*c**2 - 7*c**2 + 2*c**2). 34*c**3 - 2*c**2 Expand (0*r - 3*r + 5*r)*(10*r - 10*r + 10*r**2). 20*r**3 Expand (2*t - 3*t - t)*(4*t - 2*t + t + 4*t + 0*t - 2*t + (-2 + 2 - 1)*(0*t + t - 2*t) + 2 + t - 2). -14*t**2 Expand -2*p - 2*p**2 + 2*p + (2*p - 5*p - p)*(-3*p + 2*p + 3*p). -10*p**2 Expand (-5*h + 3*h - 14*h)*(-4 + 4 + 2*h). -32*h**2 Expand (4*r - 6*r - 4*r)*(2*r**2 + 9*r - 9*r + r**3). -6*r**4 - 12*r**3 Expand f**3 - 4*f**2 + 4*f**2 + (-2*f**2 + 0*f**2 - 2*f**2)*(-2*f - f + f). 9*f**3 Expand (28*a - 26*a - 13*a**3 - 8*a**3 + (-3*a - 2*a**2 + 3*a)*(0*a - 3*a + 2*a))*(a + a - 4*a). 38*a**4 - 4*a**2 Expand (3*z**3 - 3*z**3 - 2*z**3)*(-3 + 20 - 2 + 11). -52*z**3 Expand -4*d**4 + 2*d**4 + 3*d**4 + (-2*d**4 + 3 - 3)*(3 - 5 + 1) + 3*d**4 + 3*d**4 - 4*d**4 + (4 + d**2 - 4)*(4*d**2 - 4*d**2 + 2*d**2). 7*d**4 Expand (2 - 2 - 1 + 1 - 4 + 2 + (-5 + 4 + 0)*(-3 + 0 + 4) + 1 - 2 + 0)*(-3 + 3 + 1)*(-q + 0*q - q)*(-3*q**3 + 6*q**3 - 4*q**3). -8*q**4 Expand 281 - 562 + 281 - 60*c + (c + 0 + 0)*(-1 - 2 + 1). -62*c Expand -a - 2*a + 2*a + (7 + 6 - 2)*(2*a - 2*a - 2*a). -23*a Expand (35*r**2 - 294 + 294)*(-2 + 2*r + 2). 70*r**3 Expand (2*f - 3*f + 0*f)*(-5 + 3 - 3) - f + 6*f - 3*f. 7*f Expand (c + 5 - 5 - 3*c**2)*(2*c**2 - 2*c**2 + 2*c**3). -6*c**5 + 2*c**4 Expand (1 - 3 + 3)*(-4 + 1 + 2)*(-2*z**5 + z**5 + 0*z**5) + 0 + 0 + 5*z**5. 6*z**5 Expand (23*i**3 - 8*i**5 - 23*i**3)*(1 + 0 - 3). 16*i**5 Expand 5*c - 5*c - c**2 + (-3 + 2 + 0)*(1 + 4 - 4)*(3*c**2 - 4*c**2 - 2*c**2) + (-c - 5*c + 5*c)*(-4*c + 2*c + 3*c) - 2*c + 2*c + 2*c**2. 3*c**2 Expand k**4 - k**4 - k**4 + (-26*k**3 - 29*k**3 + 37*k**3)*(-2*k + k + 3*k). -37*k**4 Expand (3*i + 7*i - 20*i)*(-1 + 1 + i). -10*i**2 Expand (0 - h**2 + 0)*(h + h - h) + h**3 - 3*h**3 - 2*h**3 + (-5 + 5 - h)*(-3*h**2 + h**2 + 3*h**2). -6*h**3 Expand -k**2 - k**2 + 3*k**2 + (-k + 3*k - 4*k)*(3*k + k - 2*k) + 19*k**2 - 47*k + 47*k. 16*k**2 Expand ((3 + 2 - 6)*(-3 + 3 - r) + 1 - 1 + r)*(2 - 5 + 1). -4*r Expand 2*n**3 - n**3 + 2*n**3 + (0 + 0 + n**2)*(-n + 3 - 3). 2*n**3 Expand (594 - 24*v - 594)*(2*v**4 + v**3 - v**3). -48*v**5 Expand -22*u - 19 + 19 + u - 4*u + 0*u + 2*u - u + u + (-1 - 3 + 5)*(-1 + 1 + 2*u). -21*u Expand 1 - 1 + 3*w**3 + (2*w**2 + 3*w**2 - 7*w**2)*(3*w - 4*w + 0*w) - w**2 + w**2 + 3*w**3. 8*w**3 Expand (-2 + 251*m**4 - 505*m**4 + 241*m**4)*(0 + 0 - m). 13*m**5 + 2*m Expand (9 - 9 + 6*t)*((2*t + 0*t - t)*(0 - 3 + 1) - 3*t + t + 0*t - t - t + 5*t). -6*t**2 Expand 3*f + 3*f - 4*f + (-4 + 4 - 6)*(4 - 4 - 2*f) + 2*f - 5*f + 0*f + (0*f + 0*f + f)*(4 - 2 - 1). 12*f Expand (-c**4 + 3*c**4 - c**4 + 0*c**4 + 3*c**4 - 7*c**4 + (4*c - c**2 - 4*c)*(0*c**2 + 2*c**2 - 3*c**2))*(-2 - 8 - 1). 22*c**4 Expand (-5*y + 4*y + 0*y)*(-1 + 1 - 1)*(19*y**2 + 5*y**2 + 24*y**2)*(2*y + 5*y - 6*y). 48*y**4 Expand (t**5 + 4*t**5 - 3*t**5)*(1 - 2 + 3) + (t - 4*t - t)*(t**4 + t**4 - 4*t**4). 12*t**5 Expand v**5 + 2*v**5 - 6*v**5 + (-2*v**2 - 2*v**2 + 6*v**2)*(-1 + 1 - 3*v**3). -9*v**5 Expand (-2*i**2 + 2*i**2 + i**2)*((-1 - 2 + 2)*(-2 - 3 + 3) - 5 + 1 + 2 + 3 + 1 - 2 + (-1 - 2 + 2)*(1 + 2 - 1) - 2 - 1 + 6). 3*i**2 Expand (2*f + 1 - 1)*(-4 + 4 - 2*f**2) + (1 + 2 + 0)*(2 + 3 - 4)*(f**3 + 0*f**3 - 3*f**3). -10*f**3 Expand (-2 + b**3 + 2)*(-19 + 21 - 30). -28*b**3 Expand (3 + 0 + 1)*(1 + k**3 - 1) - 6*k**3 - k**3 + 5*k**3. 2*k**3 Expand -172*u**3 + 172*u**3 - 14*u**5 + (2*u + u - 5*u)*(-2*u**4 + 2*u**2 - 2*u**2). -10*u**5 Expand -2*s**2 + 2*s**3 + 2*s**2 + (-2*s - 1 + 1)*(-6*s**2 - 3*s**2 + 7*s**2) + (2*s**2 + 0*s**2 + 0*s**2)*(0*s + 5*s - 3*s). 10*s**3 Expand (2*j**4 - j**3 + j**3)*(-2 - 1 + 1) + 4*j**4 - 5*j**4 + 3*j**4 - 281*j + 281*j + 24*j**4. 22*j**4 Expand (0*u**4 - u**4 + 0*u**4)*(0*u - 4*u + 3*u) + (-3*u**3 + 3*u**3 - 2*u**3)*(-6*u**2 + 3*u**2 + 15*u**2). -23*u**5 Expand (-3*y**3 + 2*y**3 - 2*y**3 + (0 + 0 + 2)*(y**3 - 3 + 3))*(2*y**2 + y - y + (-5*y + 3*y + y)*(-2*y - y + 4*y)). -y**5 Expand (18 + q - 18)*(-1 + 2 + 0)*(2 + 2 - 1). 3*q Expand ((-3 - 3 + 4)*(x**3 - x**3 + 2*x**3) + 0*x**3 + 0*x**3 - 5*x**3)*(2 + 0 + 0). -18*x**3 Expand (-13 + 33 + 40*q - 21)*(0*q + 3*q - 4*q). -40*q**2 + q Expand (-t**2 + t**2 - 4*t**3)*(t**2 + 2*t**2 - 6*t**2) + (t**2 + 2*t**4 - t**2)*(4*t - 4*t - 2*t). 8*t**5 Expand -4*y**3 + y**3 - 2*y**3 + (2*y - 3*y + 0*y)*(-3*y**2 + 4*y**2 + 0*y**2) + 0*y**2 - 5*y**3 + 0*y**2. -11*y**3 Expand 0*x + 0*x + x**4 + (5*x**2 - 4*x**2 + 3*x**2)*(x**2 - 2*x + 2*x) + x**4 + 2*x**4 - 5*x**4. 3*x**4 Expand (-22 + 4 + 8)*(-3*h + 2*h + 3*h) + 4*h + h - 3*h + h + 2*h - 4*h. -19*h Expand 2*z**3 + 3*z**3 - 6*z**3 - z**3 - 2*z**3 + z**3 + (-2*z**2 + 0*z + 0*z)*(3*z + z - 3*z) - z**2 - 452*z**3 + 642*z**3 + z**2. 185*z**3 Expand (-4 + 4 - 2)*(m + 2*m - 5*m + (3*m + 2*m - 2*m)*(1 + 1 - 4) + 0*m - m - m). 20*m Expand (6*w**2 - 4*w**2 - w**2)*(w**2 + 2*w - 2*w + (0 + 4 - 5)*(5*w**2 - 2*w**2 - w**2) - 2*w**2 + 4*w**2 + w**2). 2*w**4 Expand 7*m - m - 4*m + (-13*m + 2 - 2)*(-2 + 3 + 4). -63*m Expand 4 - 6 + 0*b - 2*b - b + b + b - 3*b + 3*b - b + 6*b - 5*b - 2*b + (0*b + 0*b + 2*b)*(-1 - 3 + 3) + 2 + b - 2. -4*b - 2 Expand (3*i**2 - 4 + 4)*(i**3 + 0*i**3 - 3*i**3) + (-i + i - 2*i)*(-2*i**4 + 0*i**4 + 0*i**4). -2*i**5 Expand 0*d - 3*d + d + (-5 + 2 + 2)*(d - 3*d + 9*d) + d - 3*d + 3*d + (4 - 4 - 1)*(-3 - d + 3) - 5*d + 4*d + 2*d. -6*d Expand -d**5 + 2*d**5 - 2*d**5 + (-3*d - d + 2*d)*(-2*d**4 + 0*d + 0*d). 3*d**5 Expand 2*c**5 + c**5 + c**5 + (3*c**2 - 3*c**2 + c**4)*(-3*c + 4*c + c) + c**5 + 2*c**5 - 5*c**5. 4*c**5 Expand (f**3 + 2*f**3 - f**3)*(10*f**2 - 6*f + 6*f). 20*f**5 Expand (3*f - f - 3*f)*((3 - 3 - 2*f)*(2*f**2 + 3*f**2 - 4*f**2) - 4*f**2 + 10*f**3 + 5*f**3 - 14*f**3). f**4 + 4*f**3 Expand (-12 + 12 - c)*(2 - 4 + 0)*(-18*c + 2*c + 2*c). -28*c**2 Expand -4*v - v + 0*v + (1 - 7 + 2)*(3*v - 4*v - v) + 0*v - 2*v + 4*v + (4 - 3 - 3)*(-2*v - 3 + 3). 9*v Expand (2 - 2*a - 2)*(1 - 3*a**2 + 8*a**2 - 36*a**2). 62*a**3 - 2*a Expand -2*c + 2 - 2 + (c - c + c)*(3 + 0 - 4) - 7 + 7 + 2*c - 7*c + 4*c + c. -3*c Expand (1 - y**4 - 1)*(y + 0*y - 2*y) - 31*y**4 + 31*y**4 - 8*y**5. -7*y**5 Expand (0*s + 0*s + 3*s**2)*(-7 + 5 + 9) + (-s - 3*s + 2*s)*(-2*s + 4*s - s). 19*s**2 Expand (-2*q - q + 4*q)*(-2*q + 3 - 3)*(-4*q**3 + 2 + 6*q**3 + 0). -4*q**5 - 4*q**2 Expand 0*s**5 + 0*s**5 - 2*s**5 + (0*s + 2*s**2 + 0*s)*(-3*s**3 + 3*s**3 + 2*s**3) + (5*s**4 + 10*s**4 - 6*s**4)*(-4*s - s + 4*s). -7*s**5 Expand (10*d**3 - 12 - 3*d**3 + 10)*(d - d - 2*d). -14*d**4 + 4*d Expand (-3 - 2 + 4)*(l - 3*l + 4*l) + 1 + 2*l - 1 + (-2*l + l + 0*l)*(2 - 5 - 1) - 2*l - 2*l + 3*l. 3*l Expand (3*b - 5*b + 0*b)*(22 + b - 22). -2*b**2 Expand -2*y**4 + 0*y**4 + 4*y**4 + (y - y - 2*y**3)*(10*y - 17*y - y). 18*y**4 Expand 54*u**2 - 17*u + 17*u + 46*u**2 + (-2*u + 0*u + 3*u)*(-5*u + 3*u + u) - 2*u**2 + 0 + 0 - 2*u**2 + u**2 + 0*u**2. 96*u**2 Expand (1 - 4 + 0)*(-21*u**4 - 2*u**3 + 0*u**2 - 3*u**2 + 22*u**4). -3*u**4 + 6*u**3 + 9*u**2 Expand (-1 + 0 + 2)*(3 + 0 - 4)*(3 - s - 3). s Expand -k**4 + 2*k**2 + k**4 - 2*k**5 + (3*k**4 - 3*k**4 + 2*k**5)*(0 + 2 + 1). 4*k**5 + 2*k**2 Expand (5*q**3 - 5 + 5)*(2*q - 5*q**2 + 0*q + 3*q**2). -10*q**5 + 10*q**4 Expand (-3 - 1 + 1)*(-4*g + 3*g + 2*g). -3*g Expand (-2*d - 2 + 0*d + 0*d)*(-2*d - 2*d + 3*d).
{ "pile_set_name": "DM Mathematics" }
of d? 4 Let p(s) = s**3 - 17*s**2 + 11. Let l(t) = 2*t**2 + 10*t - 4. Let h be l(-9). Suppose h = -0*d + 4*d. What is the tens digit of p(d)? 1 Suppose 10*n = 11 + 9. Let i be (-2)/(((-18)/183)/3). Suppose n*j - i = j. What is the tens digit of j? 6 Let z = 578 - -618. What is the tens digit of z? 9 Let l(r) = -r - 1. Let y(j) = -77*j**2 - 4*j - 7. Let z(a) = 6*l(a) - y(a). What is the tens digit of z(1)? 7 Suppose -y - 192 + 3 = 0. What is the tens digit of 1/(-2 + y/(-93))? 3 Suppose m - 4*f = 9, -m + 5*f = -2*m - 9. Suppose 13 + 1 = 4*d - 5*b, 2*d = 2*b + 8. Let g = d - m. What is the units digit of g? 5 Suppose 2*o - 171 = -3*f, 0 = -3*o + 4*f - 7*f + 255. Let s = o + -22. What is the tens digit of s? 6 Let o(y) = -61*y + 32. What is the units digit of o(-10)? 2 Let l(d) = -d + 1. Let i be l(-1). Suppose 2*k + 3*s - 59 = i*s, -2*k - 2*s = -60. What is the tens digit of k? 2 Suppose -11 = -2*w + 17. Suppose -w = -a - 10. Suppose -3*r + 2*c = -59, -5*r + 156 = a*c + 43. What is the tens digit of r? 2 Suppose 5*r = -4*c + 26, c = -4 + 3. Let s be (-1 - (-9)/r)*-46. Let y = s - -48. What is the units digit of y? 5 Suppose 17*k + 5*z - 8752 = 14*k, 5*z + 14600 = 5*k. What is the thousands digit of k? 2 Let v = -1134 + 2577. What is the units digit of v? 3 Suppose -5*h = 5*v - 9880, 0 = 5*v - 13*h + 10*h - 9880. What is the hundreds digit of v? 9 Let b = 103 - 85. Let s = 197 + b. What is the tens digit of s? 1 What is the thousands digit of ((-11)/4*-103)/(20/80)? 1 Let b(m) = -5*m - 5. Let a be b(-1). Suppose 1040 = 5*d - s, a = s - 1 + 6. What is the tens digit of d? 0 Suppose 0 + 18 = -2*u. Let k = 6 + u. Let z(t) = -5*t + 2. What is the tens digit of z(k)? 1 Suppose 36*t = 34*t - 10, -3*u + 2*t + 2008 = 0. What is the hundreds digit of u? 6 Let u(v) = v**3 + 3*v**2 + 3*v + 2. Let m be u(-2). Suppose -5*c + f - 4*f - 43 = m, 3*c = -f - 25. What is the units digit of c*((-1)/4 + -2)? 8 Let d = -98 - -181. Let s = d - 42. What is the units digit of s? 1 Suppose -2*a + 7*a - 1698 = -2*z, 5*z + 1025 = 3*a. What is the tens digit of a? 4 Suppose -5*o + 61 + 119 = 0. Suppose -2*j + o = -16. Let t = 30 - j. What is the units digit of t? 4 Let a(w) = 1943*w**2 - 5*w - 4. What is the tens digit of a(-1)? 4 Let l(y) = 19*y**2 - 61*y + 187. What is the tens digit of l(3)? 7 Let x = 47 + -44. Suppose 0 = -2*o + m + 181, 2 = x*m - 7. What is the tens digit of o? 9 Let i = 18 + -15. Suppose a = i + 1. Suppose -2*x - q = -a*x + 1, -3*x + 12 = 2*q. What is the units digit of x? 2 Suppose -2*r - 6*x = -5*x - 549, -2*x - 813 = -3*r. What is the hundreds digit of r? 2 Suppose 10*l - 3*l = -1470. Let x = -117 - l. What is the tens digit of x? 9 Let d = 465 - 768. Let k = -145 - d. What is the tens digit of k? 5 Let q(y) = -9*y + 45. Let c(m) = -3*m + 15. Let p(b) = -7*c(b) + 2*q(b). What is the units digit of p(7)? 6 Suppose 4*p - 3*p - 4 = 0. Suppose 4*u = 3*g - 394, p*g = -5*u + 101 + 476. What is the units digit of g? 8 Suppose 4*g - 48 = -2*c + 106, 0 = -4*c + 4*g + 272. Let f = 106 - c. What is the tens digit of f? 3 Suppose -5*x - 4*u = -136, u = -5*x - u + 138. Suppose c + x = 3*c. What is the units digit of 3 + c + 16/(-4)? 3 Suppose 2*z - 16 = -4*q, -4*z + 2*q - 4 = -16. What is the tens digit of 5/10 - (-878)/z? 2 Let m(x) = -11*x**2 + 10*x - 65. Let k(d) = -5*d**2 + 5*d - 32. Let j(r) = -9*k(r) + 4*m(r). What is the units digit of j(4)? 4 Let d be 50/4*(-8)/(-10) - 3. What is the tens digit of d*15 + (-12)/6? 0 Let c be (-10)/(6/3 - 0). Let i(j) = -11*j - 10. What is the tens digit of i(c)? 4 Suppose 0 = 2*f - a + 6, 0 = 2*f - 2*a + 10. What is the units digit of f/2 + 966/12? 0 Let k(x) = x**3 + 2*x**2 + 3*x + 2. Let h be k(-2). Let i = 28 + h. Suppose -3*u - 4*q + 7 = -i, 0 = 5*u + 5*q - 50. What is the units digit of u? 9 Let x = 29 + -56. What is the units digit of 6 - x - (-4 + 2)? 5 Suppose -3*a + 9 = 3*y, 9 = 4*a + y - 3. Suppose 3*h + 3*s - 87 = 0, s - 4 + a = 0. Let d = h - 8. What is the tens digit of d? 2 Suppose 5*s - 40 = -5*z, 0*z - 4*z - 3*s = -30. What is the tens digit of 36*(2/z)/(30/135)? 5 Let o = 307 + -156. What is the tens digit of o? 5 Suppose 57878 = 58*o - 134856. What is the thousands digit of o? 3 Let o = 11 + 37. Let t be 6/(-8) - (-276)/o. Suppose t*f = 4*g - 53, -3*f - f = -4*g + 52. What is the tens digit of g? 1 What is the hundreds digit of ((-4)/(-6))/((-28)/(-167496))? 9 Let y(v) = 148*v**2 + 14*v + 13. What is the units digit of y(-2)? 7 Suppose 9*m = 11*m. Suppose z + 4*y - 36 = m, -4*y = 3*z - 8*z + 180. What is the units digit of z? 6 Suppose -13*a + 17925 = 1753. What is the hundreds digit of a? 2 Suppose -10*y - 6855 = -15*y. What is the tens digit of y/21 - 4/14? 6 Suppose 0 = 8*q + 505 + 103. Let z = 54 - q. What is the hundreds digit of z? 1 Suppose 259 = -6*p + 1795. Suppose j + p = 9*j. What is the units digit of j? 2 Let n(o) = 78*o**2 + 16*o - 138. What is the thousands digit of n(6)? 2 Let f(d) = 4*d**2 - 77*d + 111. What is the tens digit of f(30)? 0 Let a(x) = 16 - 14*x - 7 + 8 - 3*x**2 + 4*x**2. What is the tens digit of a(18)? 8 Let z(k) = 20*k + 223. What is the tens digit of z(39)? 0 What is the thousands digit of (-9)/6 + 2217/2? 1 Suppose 0 = 5*s + 3*g - 108, 4*s + 3*g - 92 = 2*g. Let h = 40 + s. What is the units digit of h? 4 What is the tens digit of (31/(-62))/(2769/(-1384) - -2)? 9 Let y(p) = 4*p**3 + 1. Let b be y(-1). Let r(z) = 3*z**2 + z + 1. Let m be r(b). Suppose 105 = -2*a + 7*a + v, 5*v = -m. What is the tens digit of a? 2 Suppose 5*s - 4*s = 1. Let w(k) = 200*k**2 + 4*k - 3. What is the tens digit of w(s)? 0 Suppose 99 = -3*j + 2*n - 115, 3*n = -j - 64. Let d = -386 + 269. Let i = j - d. What is the units digit of i? 7 Let s = 6774 - 3299. What is the units digit of s? 5 Let m(n) = 4 + 0 - 6 + 4*n + 3. Let z be (-72)/(-16) - (-2)/(-4). What is the units digit of m(z)? 7 Let c(y) = 72*y**3 + 2*y**2 - 3*y + 2. What is the units digit of c(1)? 3 Let j be 1 - 0 - -105*(-1)/(-1). Suppose 3*l - 4*r + 2 - 161 = 0, -2*l + j = -2*r. What is the units digit of l? 3 Let w = 2 + 16. Let x = 22 - w. What is the units digit of x? 4 Let i be (6/9)/(4/42). What is the tens digit of 14/i - 168/(-2)? 8 Let k = -5 + 25. What is the hundreds digit of 1 + 130 - 4/k*5? 1 Suppose -493 = -3*l + 4*y + 571, -5*l - y = -1781. What is the tens digit of l? 5 Let q be -8 + (-1 - 9/(-3)). What is the units digit of (q - -11) + -4*1? 1 Let c(l) = 55*l - 6. Let o(a) = 27*a - 3. Let w(f) = -6*c(f) + 13*o(f). Suppose -32*q + 30*q - 4*y = 6, 4*q + 3 = -5*y. What is the units digit of w(q)? 0 Suppose 26 = 4*s + k - 518, 5*k = 0. What is the units digit of s? 6 Let q = 506 + -254. Suppose -4*f + q = 5*j, -f + 4*f = j + 189. What is the units digit of f? 3 Suppose -b + 4*d = -21, 2*b + 2 = 4*b + 2*d. Suppose -u = -3*y - 147, -687 = -b*u + 5*y - 2*y. What is the tens digit of u? 3 Suppose 5*j = p + 10*j - 915, -4*p + 4*j + 3780 = 0. What is the units digit of p? 0 Let h = 17 + -14. Let q be (h/12)/(5/(-20)). Let s = q - -6. What is the units digit of s? 5 Suppose -5*n + 5*c + 19 = -8*n, 0 = c + 2. Let d(a) = 2*a**3 - 4*a**2 - a - 4. Let h be d(n). Let k = -62 - h. What is the units digit of k? 9 Let n(y) = y. Let q(o) = -7*o + 3*o - 7*o. Let r(t) = -6*n(t) - q(t). What is the tens digit of r(5)? 2 Let r be (-1)/4 - ((-50)/8 + 4). Suppose -r*y + 274 = y + f, -4*y - f = -367. What is the units digit of y? 3 Let m be (1 + 1)*(-48)/4. Let y be (-1300)/(-24) - (-4)/m. Let j = y - 20. What is the units digit of j? 4 What is the thousands digit of (8 - 6) + (2 - (-1004)/1)? 1 Let a = 21 - 12. Let n(w) = -10*w + a*w - 6 + 4. What is the units digit of n(-8)? 6 Suppose 0 = 4*d - 356 + 8. What is the tens digit of d? 8 Let d(c) = c**3 + 6*c**2 + 7. Let p be d(-6). Suppose 2 = 3*v - p. Suppose -2*w = -v*q + 54, 7 = 2*q + 4*w - 29. What is the tens digit of q? 1 Suppose 2*s = 168 - 6. Suppose -49 - s = -5*b. Let t = b - 9. What is the units digit of t? 7 Let q(f) = 5*f**3 - 3*f + 8. Let z be q(4). Let g = -10 + 5. What is the tens digit of (-2)/g + z/10? 3 Suppose 0 = 7*p - 4217 + 1011. Let g = -222 + p. What is the hundreds digit of g? 2 Let l(s) = -10*s**2 + s. Let j = 2 + -3. Let n be l(j). Let q = n + 15. What is the uni
{ "pile_set_name": "DM Mathematics" }
72078 = 0. What are the prime factors of r? 3, 5, 89 Let y(x) = 3*x**2 - 9*x + 24. Let b(a) = -2*a**2 + 19*a + 33. Let l be b(-2). List the prime factors of y(l). 2, 3 Suppose 4*d - 266*x + 264*x = 33056, -3*x = 3*d - 24792. List the prime factors of d. 2, 1033 Let u(j) = 6*j**3 + 20*j**2 + 30*j - 218. What are the prime factors of u(10)? 2, 3, 449 Let b(u) = 49*u**2 - 3074*u - 14. List the prime factors of b(75). 45061 Suppose 987522 = -120*s + 2801442. What are the prime factors of s? 2, 3779 Let a(o) = 2*o**2 - 36*o - 113. Let f be a(27). Let n = 457 - f. List the prime factors of n. 2, 3, 7 Let d(u) = 697*u**2 + 22*u + 38. What are the prime factors of d(8)? 2, 73, 307 Suppose 4*u - 49363 = b, -124*u - 61712 = -129*u + 4*b. List the prime factors of u. 2, 5, 617 Let j(b) = -6*b**3 + 81*b**2 + 76*b - 74. Let x(f) = f**3 - 16*f**2 - 15*f + 15. Let y(q) = -2*j(q) - 11*x(q). What are the prime factors of y(-9)? 271 Suppose 16297 - 4887 = 7*l. Suppose -l + 256 = -6*t. What are the prime factors of t? 229 Suppose 152*f - 162*f + 13900 = 0. Suppose -2*o - 2*n + 1274 = 0, 5*o - f = -3*n + 1801. List the prime factors of o. 2, 5 Let t(a) = 13*a**3 + 105*a**2 - 688*a - 14. List the prime factors of t(7). 2, 7, 11, 31 Let r(z) = -z**2 - 43*z - 185. Let g be r(-26). Suppose -2*h + q = -477 - g, -4*q = -16. List the prime factors of h. 3, 41 Suppose 0 = 10*l + 140 - 160. Suppose -2*z + 5*p = p - 14, -3*p + 22 = 5*z. Suppose -l*b = 2*r - 102, z*b - 252 + 6 = 4*r. List the prime factors of b. 2, 5 Let d(a) = 26*a - 154. Let k be d(6). Suppose -3*h = k*c - 1261, -3*h + 1682 = h + 3*c. List the prime factors of h. 419 Suppose -5*u = -13*u + 48. What are the prime factors of (9/u)/(((-65)/(-610))/13)? 3, 61 Suppose 4*m + 7020 = 2*r - 2204, -13836 = -3*r - m. List the prime factors of r. 2, 1153 Let j = 57 - 24. Suppose 0 = -4*a - 20, 5*a + j = 2*c + 2*c. List the prime factors of 495*(-7 + c)/(-15). 3, 5, 11 Let s(v) = -v - 4. Let k be s(-7). Suppose -4*f + 7 = k*f. Let a = 12 + f. List the prime factors of a. 13 Let h(n) = -3*n + 19. Let y(s) = 9*s - 57. Let i(m) = -8*h(m) - 3*y(m). Let q be i(-12). Suppose 5*t - 215 - q = 0. List the prime factors of t. 2, 3 Let t be ((-3)/4*2)/(2/(-4)). Suppose -j + 22 = 3*b, 4*j + t*b - 2*b = 44. Suppose 5*g + j = 95. List the prime factors of g. 17 Let i(r) = -r - 5. Suppose -5*d + 87 = -s - 2*s, 2*d = 2*s + 38. Suppose 192 = d*n - 23*n. What are the prime factors of i(n)? 19 Let g(u) be the first derivative of 17*u**2/2 - 59*u + 5. List the prime factors of g(7). 2, 3, 5 Suppose -7*h - 44 = -18*h. Let n(m) = 135*m - 27. What are the prime factors of n(h)? 3, 19 Suppose j = -0*j - 5*i - 1385, 2*j - i + 2715 = 0. Let c = -939 - j. List the prime factors of c. 421 Suppose 6*r - 33 = -15. Suppose 4*d - 3*p - 5524 + 1061 = 0, -2*p - 3348 = -r*d. What are the prime factors of d? 2, 13, 43 Suppose 205*y - 204*y + 2*f = 5412, 16263 = 3*y - 3*f. What are the prime factors of y? 2, 3, 7, 43 Suppose 27775 = -25*q - 650. List the prime factors of q/3*(3 - 4). 379 Let j = 2041 + -54. List the prime factors of j. 1987 Let l(t) = 13344*t**3 + 16*t**2 - 12*t - 3. List the prime factors of l(1). 5, 17, 157 Let h = 264 - 170. Let a = 84 + h. Let q = 272 - a. What are the prime factors of q? 2, 47 Let o(v) = 4700*v - 2033. What are the prime factors of o(10)? 3, 13, 1153 What are the prime factors of (6/8)/((-435)/(-23766080))? 2, 13, 197 Let o = -140 - -77. List the prime factors of (-2860)/(-14) - 2/o*-9. 2, 3, 17 Suppose -7*b + 68 = 4*d - 3*b, -5*b = -3*d + 75. Suppose -11*w = 3*z - 12*w - 1961, -5*w + d = 0. What are the prime factors of z? 5, 131 Let u be (0 - (-15)/9) + (-40)/(-12). List the prime factors of (-4092)/(-8) - (-15)/(-50)*u. 2, 3, 5, 17 Let r(a) = -2*a**2 + 2*a + 42. Let i be r(-5). List the prime factors of 5*i*76/(-40). 3, 19 Suppose 3*p - 3*y = -2*y + 47602, 0 = -2*p - 5*y + 31763. What are the prime factors of p? 7, 2267 Suppose -158907 = -65*u + 390278. What are the prime factors of u? 7, 17, 71 Suppose 2*b + 8*c - 5*c - 45697 = 0, 5*b - 114253 = 3*c. List the prime factors of b. 2, 5, 457 Let v be (-6)/4*(-20)/6 + 4. Suppose 26*x - v*x = 26163. What are the prime factors of x? 3, 19 Let p(y) = 8*y + 18. Let z be p(4). Let d = -48 + z. Suppose 298 = 4*i + d*a, 0*a - 362 = -5*i + a. List the prime factors of i. 73 Suppose 29*n = 25*n - 196. Suppose 3*w - 154 + 1 = 0. Let a = w - n. List the prime factors of a. 2, 5 Let n(l) = 4*l**2 + 7*l - 2. Let a be n(-4). Let x(k) = 14*k + 273. List the prime factors of x(a). 7, 107 Let u be 2/(-6)*-9 + 2. Let i be (-74)/(-26) - 38/(-247). Suppose 3*o + 93 = 6*c - 4*c, i*c - 149 = -u*o. What are the prime factors of c? 2, 3 Suppose -v = 2*v - 120. Let h(c) = -16*c**2 + 226*c - 11. Let z be h(14). Let o = z + v. What are the prime factors of o? 3, 19 Let j(y) be the third derivative of -y**6/120 + 17*y**5/60 - 31*y**4/24 - 13*y**3/3 - y**2 + 90*y. What are the prime factors of j(9)? 7 Let t = 421 - 197. Suppose 35 - t = -3*x. Let a = x - -25. What are the prime factors of a? 2, 11 Let w(f) be the first derivative of 2*f**2 + 0*f**2 - 11 - 4*f**2 + 20*f. What are the prime factors of w(-5)? 2, 5 Suppose -913832 - 569500 = -142*i. List the prime factors of i. 2, 3, 1741 Let p(y) = 61*y**2 + 1559*y - 49. List the prime factors of p(-35). 7, 13, 17 Suppose 3*i + 8 = 2*r - 0*r, 16 = 4*r - 4*i. Let f be (-8)/(4*r/24). What are the prime factors of (-2064)/(-22) + f/(-66)? 2, 47 Let j be (-3)/9 + (2/(-3))/(-2). Suppose -7*i + 0*i = j. List the prime factors of ((-1)/(-2) + i)/((-1)/(-54)). 3 Let b(h) = -1050*h - 144. Let d be b(3). Let s = 5282 + d. List the prime factors of s. 2, 7, 71 Suppose -732 - 204 = 8*m. Let k be 1 - (-415)/4 - m/(-156). Let a = k - 98. List the prime factors of a. 2, 3 What are the prime factors of ((-131)/(-2))/((-208)/(-38272))? 2, 23, 131 Suppose 190*a - 240*a = -193800. List the prime factors of a. 2, 3, 17, 19 Let z(w) = w**2 - 7*w + 9. Let k be z(6). Let b = k - -32. List the prime factors of b/14*17*2. 5, 17 Let h(w) = -7*w - 12. Let c be ((-6)/(-4))/((-1)/(-42)). Suppose 3*l + 2*x = 6*l + c, 0 = 4*l - x + 79. What are the prime factors of h(l)? 11 Let h be 15/(-5) - 2 - -20. Let t(a) = -a**3 + 16*a**2 - 13*a - 21. Let o be t(h). List the prime factors of (-3880)/(-24) - (-3)/o. 2, 3 Let z(i) = -3*i - 13. Let a = -233 - -223. What are the prime factors of z(a)? 17 Suppose -576 = k - 5*k. Suppose -b + 3*b = -2, 0 = -2*v + 2*b - k. Let d = v - -119. List the prime factors of d. 2, 23 Let x(m) be the first derivative of 16*m**3/3 + 3*m**2/2 - 14*m + 11. Let q be x(7). Suppose 6*a = -a + q. What are the prime factors of a? 113 Let s = -39 + 60. List the prime factors of (5 + -5)/2 + s*1. 3, 7 Let g(q) = 11*q**2 + 1. Let y be g(-5). Let n = y + 167. What are the prime factors of n? 443 Let n = -20989 + 60130. What are the prime factors of n? 3, 4349 List the prime factors of 29/(2175/60) + 1396504/20 + -4. 2, 3, 431 Suppose -4*v - 261 = -v. Let q be (1 + 0/(-3))*136. Let r = v + q. What are the prime factors of r? 7 Suppose 5*r + 3*m - 6 = 0, 0 = -5*r + 2*m + 29 - 8. Suppose -3*f = 3*q - 684, 0 = 3*f - 2*f - r*q - 232. List the prime factors of f. 229 Let t(n) = 100*n + 5. Let l = 86 - 67. Suppose -o + 4 = y, -l = y - 5*y - 5*o. What are the prime factors of t(y)? 3, 5, 7 Suppose a = 2*h - 0*a - 9, 2*h - 24 = -2*a. Suppose h*z = -5*z + 1764. What are the prime factors of z? 3, 7 Suppose 23*s - 15*s + 43*s - 857310 = 0. List the prime factors of s. 2, 5, 41 Suppose 2*h - 4*h = -8. What are the prime factors of (h/10)/((-10)/(-900))? 2, 3 Let a(f) = 260*f**3 - 3*f**2 - 13*f + 22. What are the prime factors of a(5)? 2, 3, 7, 257 Let v(x) = 17*x - 53. Let h be v(-12). Let b = -168 - h. Let a = -35 + b. What are the prime factors of a? 2, 3 Let p = -327 - -714. Suppose 5*o - p = z - 0*z, 158 = 2*o - 2*z. Let l = o + -58. List the prime factors of l. 19 Let m(b) = 486*b**2 + 71*b - 209. What are the prime factors of m(4)? 3, 2617 Suppose -4*u + 23*u = 0. Suppose -33*y + 32*y + 471 = u. List the prime factors of y. 3, 157 Let u be (-9)/(-30)*14 + 12/15. Suppose u*a + 522 = -2*o - 104, -4*a - 2*o = 500. Let x = -25 - a. List the prime factors of x. 101 What ar
{ "pile_set_name": "DM Mathematics" }
)) assuming l is positive. l**(1313/1491) Simplify k*k**12*k**(-15)/k*k**(1/3)*k**(2/3) assuming k is positive. k**(-2) Simplify ((l/(l**13/l*l*l*l*l))/l**(2/11))/(l**(3/5))**(3/29) assuming l is positive. l**(-24314/1595) Simplify (((d/(d**(-1/6)/d))/(d/((d**(2/3)*d*d)/d)))/(d**3*d*d**(-4)/d*d))**(-37) assuming d is positive. d**(-629/6) Simplify (x/x**12*x*x*x**(-1/5))/(x**(-2)/x*x**(-6)) assuming x is positive. x**(-1/5) Simplify (i**(3/7)/(i**(1/9)/i))**(-33) assuming i is positive. i**(-913/21) Simplify ((h**(-2/11)*h)/h*h)/h**(3/8)*(h**(-2))**(1/2) assuming h is positive. h**(-49/88) Simplify (((l**0*l)**(-41))**(-6))**(-17) assuming l is positive. l**(-4182) Simplify (j**(5/2)/j)/(j/j**(-3/7))*j**(-1/8)/j*j*j*j**(-2/13) assuming j is positive. j**(577/728) Simplify a**(-2/31)*a**(-4/11)*(a*a**(4/5)*a*a)**(-1/20) assuming a is positive. a**(-21079/34100) Simplify ((q/q**(-2/7))/q)/q**(-23)*q*q**(1/15)/q*q*q*q**(-32) assuming q is positive. q**(-698/105) Simplify (((w/w**1)/w)**43*(w/w**7)/w**7)**(-7/10) assuming w is positive. w**(196/5) Simplify h**10/h**(-4)*h**(1/4)/h**10 assuming h is positive. h**(17/4) Simplify (g**(-12)*g*g/((g*((g/g**14*g)/g)/g)/g*g))/(g/(g**(-4/5)/g))**(1/91) assuming g is positive. g**(193/65) Simplify (m**(7/6)*(m**(1/32)*m)/m)**38 assuming m is positive. m**(2185/48) Simplify (g/g**4*g*g)**(-11/6)*(g*(g/(g*g**(-13)))/g)/g*g**(-21/4) assuming g is positive. g**(103/12) Simplify (z**(-5)/((z/(z**(2/31)*z))/z))/((z*z*(z**(-1/2)/z)/z*z)/z)**48 assuming z is positive. z**(622/31) Simplify (r*r/(r*r/r**(-3)))**11*(r/(r*r*r**1*r*r))**(-2/27) assuming r is positive. r**(-883/27) Simplify (t/(t**25/t))/(t*(t**19*t*t*t)/t*t)*(t/((t*t/(t/(((t**(3/5)*t)/t)/t)))/t))/t*t**(2/25) assuming t is positive. t**(-1138/25) Simplify ((n**(-6/17))**(-48))**45 assuming n is positive. n**(12960/17) Simplify v**9*v**10*v*(v/(v*v**(-1)*v))/v**(2/29) assuming v is positive. v**(578/29) Simplify ((((j/j**(-6/5))/j)/(j**(3/7)/j))**(11/6))**(8/9) assuming j is positive. j**(2728/945) Simplify ((s**5/((s**(-4/7)/s)/s*s))/(s*s**(3/5)*s**(-5)))**(-5) assuming s is positive. s**(-349/7) Simplify ((x*x*x**(-11/4)*x*x*x)**(-37))**(-21) assuming x is positive. x**(6993/4) Simplify (h*h**(-2/23)*h*h*h**(2/39))/(h**17/(h**39*h)) assuming h is positive. h**(23290/897) Simplify ((((h*h**(1/5)*h)/h)/(h**5/h))/((h*h**(-1/13)*h)/((h/(h*h**(-3)*h))/h*h*h*h)))**(-4/9) assuming h is positive. h**(188/585) Simplify ((n*(n/(n**(-17)*n))/n)/(n*n**(1/14)*n))**(-5/9) assuming n is positive. n**(-1045/126) Simplify (n**7/(n/(n/n**(-6)))*(n/n**(-4))/(n**2*n))**(-1) assuming n is positive. n**(-15) Simplify (u*u*u**(-20))/u*u**13/u*u**(-14)/u**(2/15) assuming u is positive. u**(-317/15) Simplify ((q/(q**(-1/5)/q*q))/q*q/(q/(q**(-2)*q)))/(((q**(6/5)/q*q)/q)/(q**10/q)) assuming q is positive. q**8 Simplify ((m/(m*m**0))/m)**(-49)*(m/((m*m/m**(-4/7))/m))**(-10/9) assuming m is positive. m**(3127/63) Simplify u**(4/9)*u**(1/5)*u**(2/5)/((u**21/u)/u) assuming u is positive. u**(-808/45) Simplify u**2/(u**(-1/3)/u*u)*((u**(-9)/u)/u)/(u**(-8)*u) assuming u is positive. u**(-5/3) Simplify (((j/(j**(-1)/j))/j)**(-3/20)/(j*j**1)**(-5/9))**41 assuming j is positive. j**(2993/90) Simplify (o*o**16/o)/(o*o/(o*o**(-4)*o)*o*o)*(o*((o*o*(o*o**(1/7)*o)/o)/o)/o*o)/o**(-8/9) assuming o is positive. o**(884/63) Simplify (y**(-30))**(-42)/((y**10*y)/y)**(-1/11) assuming y is positive. y**(13870/11) Simplify (s*s**(-1/2))/(s*s**(13/4))*(s**5)**32 assuming s is positive. s**(625/4) Simplify (((y/(y/(y/(y/((y*y/(y*y/((y**(5/2)/y)/y*y*y)))/y)))))/y**(-3/5))/((y/y**1*y)/y)**37)**(4/13) assuming y is positive. y**(42/65) Simplify ((t*(t*t/t**(1/3))/t)**(-5/12))**(1/6) assuming t is positive. t**(-25/216) Simplify ((r**(-6)/r*r)/(r*r**(-6)*r)*(r*r/(r*r/(r/r**7))*r)/(r/(r/r**9)*r*r))**42 assuming r is positive. r**(-756) Simplify ((j**(1/5))**7/(j**12/j**12))**(6/13) assuming j is positive. j**(42/65) Simplify (p**(-5/6)/p)/p**17*p*p**(-1/9)*p*p*(p**(-8)/p*p)/p assuming p is positive. p**(-449/18) Simplify ((s/s**(-13))/s**(6/13)*(s**(-2))**(-50))**26 assuming s is positive. s**2952 Simplify (p**(-2/17)*p*p**(-3/11))/(p**10*p*p**(-4)*p*p) assuming p is positive. p**(-1569/187) Simplify (((d*d**(-15)/d*d)/d)**26)**20 assuming d is positive. d**(-7800) Simplify ((m*m/(m*(m/m**(-2/51))/m))/(m*(m**(2/31)*m)/m))**(-28) assuming m is positive. m**(4592/1581) Simplify (n*n*n**(-1)/n*n*n)**(9/8)/((n/(n*n*(n**(-2/7)/n)/n)*n)/n*n*(n**(-6)/n)/n) assuming n is positive. n**(223/28) Simplify j**(2/15)/((j*j*j**(-16)*j)/j)*(j**(-2))**(2/69) assuming j is positive. j**(4856/345) Simplify s**(-6)/(s/(s/((((s*s/(s/s**(10/3)))/s)/s*s)/s))*s)*s**(-8/11)/s*s/(s**(2/45)/s)*s*s assuming s is positive. s**(-3517/495) Simplify ((y**0)**(-2/17)/(y*y**3*y**(-3/8)*y))**(-27) assuming y is positive. y**(999/8) Simplify ((i*i**35)/i**38)/(i**(-19))**19 assuming i is positive. i**359 Simplify (x*(x*x*(x*x/((x*x*x**0*x)/x))/x)/x*x/(x*x**(-1/5)*x)*(x/((x*x**0/x)/x*x))**(1/73))**13 assuming x is positive. x**(1014/365) Simplify ((d/(d/(d*(((d/(d/((d/d**(-4/7))/d)*d))/d)/d*d)/d)))/d**(-4/7))/(d**3/(d**(4/9)/d)) assuming d is positive. d**(-278/63) Simplify ((x**(1/2))**27/(x**(2/13)/((x/x**(-7))/x)))**23 assuming x is positive. x**(12167/26) Simplify (j**(1/3)*(j/j**(-17)*j)/j)/(j*(j/((j**(-4/13)*j)/j))/j)**(-24/7) assuming j is positive. j**(6229/273) Simplify (t**(-12)*t*t**(4/17))/(t*t*(t**(-7)*t)/t*t*t**11) assuming t is positive. t**(-302/17) Simplify x**(-1)/x*x**(-2/3)*x*x**(-1/7)*x*x**11 assuming x is positive. x**(214/21) Simplify (y/((y/y**0)/y))/(y/(y/((y/(y/(y/y**(1/20))))/y*y)*y))*((y/y**(1/20))/y)/((y/(y*y/((y/(y*y**(-5)))/y*y)))/y) assuming y is positive. y**(-2) Simplify (s**11*s**21/s)/(s/((((s/(s/(s/(s/s**(-14)))))/s)/s)/s)*s**(-1/42)) assuming s is positive. s**(547/42) Simplify v/(v/(v/v**(-2)))*(v/(v*(v/v**10)/v))/v*v*v**22*v*v/(v**(-2)/v*v*v) assuming v is positive. v**38 Simplify (u**(1/10)/u**(-7))/(u**(-2/11))**(-2/5) assuming u is positive. u**(773/110) Simplify ((p*p*p/(p*p**10*p))**(-1/16))**(4/7) assuming p is positive. p**(9/28) Simplify (f*f/f**(-4/7))/(f*f**(-13))*f**(-6/11)/f*f*f*f**(2/17) assuming f is positive. f**(19823/1309) Simplify x**(-12)/((x/x**(1/6))/x)*x**6/x**(1/23) assuming x is positive. x**(-811/138) Simplify (x**5/x*x*x/x**(2/65))/(((x**(3/17)/x)/x)/x*x*x**(5/7)) assuming x is positive. x**(54752/7735) Simplify (((m**(2/3)*m)**6)**17)**(2/7) assuming m is positive. m**(340/7) Simplify (((w**(-3)*w)/((w/(w*(w*w**(-13/4))/w))/w))**(-29))**9 assuming w is positive. w**(4437/4) Simplify (n*n/n**(-4))**(-5/11)/(((n**(2/25)/n)/n)/n*n**(-8/3)) assuming n is positive. n**(2359/825) Simplify (j**(1/7)/j*j**(-7))/(j*j/(j**(-1/10)/j)*j*j*j/(j/(j**(9/5)*j*j))) assuming j is positive. j**(-1173/70) Simplify (((d**(-2/11)*d)**(-23/5))**(-33))**(-4/3) assuming d is positive. d**(-828/5) Simplify (((v/(v**(-7)*v))/v**(1/16))**(-1/4))**(-1/3) assuming v is positive. v**(37/64) Simplify ((r/(r*r/r**1))**(-2/27)*r**9/r*r*(((r**(10/3)*r)/r)/r)/r)**3 assuming r is positive. r**31 Simplify ((j/j**(-2))/j*j)/(j*j**9)*(j*j**11/j)/j*(j**(2/17)/j)/j*j assuming j is positive. j**(36/17) Simplify (j**(18/7)/j**19)**(-3/7) assuming j is positive. j**(345/49) Simplify z**16*z*z**(-3/14)*z**(7/4)*(z*z*z*z/(z*z/z**(-5/6))*z)/z assuming z is positive. z**(1655/84) Simplify k/k**1*(k**(1/10)*k*k)/k*(k**(-8/3)/k)/(k**6*k) assuming k is positive. k**(-287/30) Simplify ((o*(o/(o*o**38))/o*o*o)**(2/13))**(3/8) assuming o is positive. o**(-27/13) Simplify ((f**(-1/11)*f**6)**36)**(2/71) assuming f is positive. f**(4680/781) Simplify (x*x**0*x**(-1/5)*(x**(-1))**26)**(3/29) assuming x is positive. x**(-378/145) Simplify ((t/((t/(t*t**(-21)*t))/t*t))/(t**(1/27)/t))**7 assuming t is positive. t**(-3409/27) Simplify (f**(20/7)*f**11)**(7/9) assuming f is positive. f**(97/9) Simplify ((a/a**(-2/5)*a*a**(2/11)/a)/(a**(-1))**(-5/2))**(11/4) assuming a is positive. a**(-101/40) Simplify (g*g**(9/5))/g*g/(g*g/g**10*g)*g**(-13)/g**7 assuming g is positive. g**(-51/5) Simplify (u**5/u*u**(3/8))/(u**19/(u/(u**8*u))) assuming u is positive. u**(-181/8) Simplify (((v**(-2))**(1/8))**(-3/14))**35 assuming v is positive. v**(1
{ "pile_set_name": "DM Mathematics" }
= 68971*s**2 - 2006*s - 4012. Give -1003*h(j) - 6*o(j). 413*j**2 Let l(r) = r**2 + r + 1. Let h(o) = -53*o - 59. Let u(c) = -16*c - 17. Let f(i) = -2*h(i) + 7*u(i). What is -f(p) - 3*l(p)? -3*p**2 + 3*p - 2 Let w(r) = 164*r + 1079. Let h(m) = 65*m + 540. Calculate -5*h(g) + 2*w(g). 3*g - 542 Let y(p) be the first derivative of 2*p**2 - 3*p + 1. Let c(q) = q. Suppose 5*n = 22*v - 182, -3*v - 104 = -3*n - 152. Calculate v*c(g) - y(g). 2*g + 3 Let o(v) = -v**2 + 2*v - 2. Let j be ((-48)/72)/(4/(-12)). Let x(b) = b**2 + b + 1. Give j*x(w) - o(w). 3*w**2 + 4 Let k(n) = 2385*n - 33. Let s(j) = -19*j + 5. Determine -k(b) - 6*s(b). -2271*b + 3 Let a(v) = 4824*v**3 - 6*v**2 + 6*v - 3. Let s(g) = 19295*g**3 - 26*g**2 + 26*g - 13. Calculate 26*a(b) - 6*s(b). 9654*b**3 Let v(g) = -12*g**3 + 1414*g**2 + 28*g - 7. Let p(d) = -8*d**3 + 943*d**2 + 20*d - 5. Determine -7*p(r) + 5*v(r). -4*r**3 + 469*r**2 Suppose -4*d + 8 = -2*d. Suppose -d*u + 11*u = 42. Let b(k) be the second derivative of k**3/6 + 63*k. Let j(m) = -4*m - 2. Give u*b(a) + j(a). 2*a - 2 Let a(t) = 87*t - 290. Let r(p) = 31*p - 96. Determine 5*a(k) - 14*r(k). k - 106 Let w(l) = 604*l + 60. Let n(j) = -67*j - 4. Let d(u) = -28*n(u) - 3*w(u). Let t(i) = -i + 1. Give 6*d(f) + 408*t(f). -24*f Let s(b) be the second derivative of -b**3/6 - 3*b**2/2 - b. Let r(t) = t + 4. Let m = 8759 + -8761. Calculate m*r(q) - 3*s(q). q + 1 Let u(v) = v**3 + v**2 - 2*v - 1. Let s(l) = -921*l**3 - 1842*l**2 + 3684*l + 1842. Calculate 3*s(t) + 5526*u(t). 2763*t**3 Let w = 11 + 7. Suppose 2*t + w = 8. Let u(n) = 9*n. Let c(g) be the second derivative of 22*g**3/3 - 43*g. Determine t*c(r) + 24*u(r). -4*r Suppose 4057*j = 4064*j - 28. Let p(s) = -3*s**3 - 4*s**2 + 5*s + 1. Let a(c) = -c**3 - c**2 + c. What is j*a(z) - p(z)? -z**3 - z - 1 Let p(d) = -142*d**2 + 6*d - 2. Let u(i) = -173*i**2 + 7*i - 2. Let j(c) = 6*p(c) - 5*u(c). Let l(m) = 65*m**2 + 5*m - 11. Calculate -11*j(b) + 2*l(b). -13*b**2 - b Let n(a) = 3*a**3 + a**2 + 4*a - 3. Let j(f) = 3*f**3 + 2*f**2 + 5*f - 4. Let v be ((-96)/(-9) - 12)*(-81)/2. Suppose 18*x = -0*x + v. What is x*j(c) - 4*n(c)? -3*c**3 + 2*c**2 - c Let j be ((-20)/(-40))/((-2)/(-20)). Suppose -76 + 10 = -11*q. Let i(d) = -3*d**3 - 3*d - 3. Let l(z) = 3*z**3 + 4*z + 4. What is j*l(t) + q*i(t)? -3*t**3 + 2*t + 2 Let s(t) = -5*t + 5. Let d be 640/48 - 2/6. Suppose 3*r = d + 5. Let g(c) = 2*c - 2. Let p be (-1 - 3/6)*(-280)/30. Determine p*g(z) + r*s(z). -2*z + 2 Let w(t) = 2*t - 5. Let y(v) be the second derivative of v**3/3 - 3*v**2 - 35*v. Suppose -2*n = 5*b + 16, -3*n - 17 = 2*n + b. Give n*w(r) + 2*y(r). -2*r + 3 Let f(a) = 1103*a - 2199. Let r be f(2). Let v(b) = 3*b**2 + 9*b + 39. Let h(l) = -l**2 - 4*l - 20. Calculate r*h(k) + 3*v(k). 2*k**2 - k - 23 Let f(n) = 633*n**2 + 2*n - 4. Let r(j) = -2*j + 4. Determine -6*f(k) - 6*r(k). -3798*k**2 Let y(t) = -t**2 - 6*t + 5. Let n = 66 + -55. Let w be (15/3)/5*n. Suppose -75 = -w*m + 2. Let r(p) = p**2 + 7*p - 6. What is m*y(o) + 6*r(o)? -o**2 - 1 Let y(p) = p - 8*p**2 - 1 + 10*p**2 - p**3 + 11*p**2 - 13*p**2. Let a(z) = -z**3 + z**2 - 2*z - 2. Calculate -a(r) + 2*y(r). -r**3 - r**2 + 4*r Let v(u) = 200*u**3 + 9*u**2 - 18. Let g(x) = -201*x**3 - 10*x**2 + 20. Give 9*g(k) + 10*v(k). 191*k**3 Let p(i) = 4*i**3 + 8*i**2 + 6*i + 2. Let z = 10373 + -10379. Let s(j) = -8*j**3 - 15*j**2 - 11*j - 4. Give z*s(c) - 11*p(c). 4*c**3 + 2*c**2 + 2 Let g(v) = -93*v + 109. Let u(m) = 280*m - 309. Calculate -17*g(q) - 6*u(q). -99*q + 1 Suppose -39*p + 2 = -6*p - 2*p - 29. Let h(a) = 1. Let g(q) = -2*q - 3. Let w(k) = -k - 4. Let m(u) = -3*g(u) + 4*w(u). Calculate p*m(y) + 6*h(y). 2*y - 1 Let y(x) = -24*x**3 - 5*x**2 - 5*x - 5. Suppose -5*d + 8 = c + 13, -d = 0. Let a(z) = 24*z**3 + 4*z**2 + 4*z + 4. What is c*a(w) - 4*y(w)? -24*w**3 Let l(k) = 4*k**3 + 3*k**2 - 4*k + 5. Let g = -5 + 6. Suppose 9*w - 18 = 198. Let z(n) = -w - n + n**3 + 5 + 8 + n**2 + 12. What is g*l(h) - 5*z(h)? -h**3 - 2*h**2 + h Let x(j) = -2*j**2 - 9*j - 1. Let r(s) = 54 + 5*s - 52 + 22*s + 2*s**2 + 3*s**2. Calculate 3*r(w) + 8*x(w). -w**2 + 9*w - 2 Let m(y) = 11*y**2 - 1335*y + 44. Let i(a) = -5*a**2 + 666*a - 19. What is 7*i(u) + 3*m(u)? -2*u**2 + 657*u - 1 Suppose -5*f = -0*f - 335. Let y(h) = -f - 61 - 2*h + 196 - 71. Let v(z) = -1. Calculate 2*v(t) + y(t). -2*t - 5 Let r(t) = -13*t - 2. Let c(q) be the first derivative of 3*q**2 + q - 17. Suppose 0 = 110*g - 115*g + 20. Determine g*r(i) + 9*c(i). 2*i + 1 Let k(i) = 609*i**2 + 7*i - 9. Let z(b) = 1222*b**2 + 15*b - 19. Calculate 11*k(n) - 5*z(n). 589*n**2 + 2*n - 4 Let u = 937 - 929. Let m(i) = 12*i - 1. Let h(r) = -35*r + 2. Give u*m(j) + 3*h(j). -9*j - 2 Let f(l) = -4*l**2 + 4*l + 1. Let y(d) = 8*d**2 - 6*d - 3. Give -11*f(o) - 6*y(o). -4*o**2 - 8*o + 7 Let k(z) = z - 1. Let l(r) = 574 - 96*r - 245 - 221. What is 216*k(x) + 2*l(x)? 24*x Let j(k) = -65. Let m(h) = -146. Let i(q) = -9*j(q) + 4*m(q). Let n(o) = -18*o + 4. Determine 3*i(v) - n(v). 18*v - 1 Let f(b) = b**3 - b**2 + 2*b. Let d(v) = -v**3 + v**2 - 2*v. Let j = 827 + -821. Give j*d(s) + 7*f(s). s**3 - s**2 + 2*s Let o(z) = 12*z**2 - 11*z. Let m(t) be the first derivative of -t**3/3 + t**2/2 + 587. Suppose g = 5*c + 29, -3*g - 1 = -2*g + c. What is g*o(b) + 44*m(b)? 4*b**2 Let i(c) = -5124651 + 5124651 + 6*c**2 + 3*c**3 + 16*c - c**2. Let p(h) = -5*h**2 + 3*h**2 - 8*h + 4*h**3 - 5*h**3. Give -2*i(d) - 5*p(d). -d**3 + 8*d Let d(w) = 1335841*w**2 - 8279*w + 33116. Let f(o) = -484*o**2 + 3*o - 12. Calculate -6*d(x) - 16558*f(x). -974*x**2 Let g(z) = -4*z - 10. Suppose -2*b + 330 = 2*k, -10*b + 5*b + 825 = 4*k. Let p(j) = 3*j + b - 164 - j - j. Calculate -g(i) - 2*p(i). 2*i + 8 Let n be (1 - 22)*(-21)/9. Let m(j) = 133*j**2 - 49*j. Suppose 6*b = r + 2*b + 8, -5*b = -4*r + 1. Let z(q) = -11*q**2 + 4*q. Determine n*z(p) + r*m(p). -7*p**2 Let r(q) = 6*q + q - 3*q - 2 + 3*q. Let m(a) = -57*a - 44*a + 6 + 79*a + 1. Determine 2*m(u) + 7*r(u). 5*u Let q(y) = 24*y - 2*y**3 - 10*y**3 + 0*y**3 - 27*y + 3*y**2. Let o(w) = -12*w**3 + 2*w**2 - 2*w. Let h be (10/15)/(12/54). What is h*o(j) - 2*q(j)? -12*j**3 Let u(k) = -2*k**3 - 965*k**2 + 6*k - 12. Let n(p) = -6*p**3 - 2895*p**2 + 17*p - 34. Calculate -6*n(c) + 17*u(c). 2*c**3 + 965*c**2 Let u(h) be the first derivative of -h**4/4 - h**3 + 2*h - 4593. Let m(y) = y**2 + 1. Determine -m(w) + u(w). -w**3 - 4*w**2 + 1 Let m(d) = 8*d**2 - 459*d + 6. Let y(n) = 2*n**2 + n + 2. Give -m(z) + 2*y(z). -4*z**2 + 461*z - 2 Let t(o) = 8*o - 13. Let i(j) = 16*j - 27. Let y(u) = -2*i(u) + 5*t(u). Suppose -18*c - 7*c + 100 = 0. Let f(a) = 3*a - 4. Give c*y(z) - 11*f(z). -z Let l(k) = 11*k - 1. Suppose -5*f - 4*z + 11 + 6 = 0, 2*z - 7 = -f. Let y(t) = t - 1. Give f*l(s) - 3*y(s). 8*s + 2 Let k(r) = 3*r. Let f be (-1)/(-5)*14 - (-166)/830. Let u(c) = f*c - 127746 + 127746. What is -3*k(x) + 2*u(x)? -3*x Let q(n) = -15*n + 51. Let f(g) = -29*g + 94. Let a(j) = 6*f(j) - 11*q(j). Let h(u) = -1. Determine a(w) + 3*h(w). -9*w Let o(t) be the first derivative of 3*t**2 - 3*t - 4. Let j(n) be the third derivative of 3*n**4/4 - 4*n**3/3 - 538*n**2. What is 4*j(a) - 11*o(a)? 6*a + 1 Let a(w) = -274*w - 21. Let u(y) = 18. Calculate -a(s) - 2*u(s). 274*s - 15 Let y(b) = -169*b**3 + 89*b**2 - 16*b + 8. Let i(c) = 20*c**3 - 11*c**2 + 2*c - 1. What is -17*i(f) - 2*y(f)? -2*f**3 + 9*f**2 - 2*f + 1 Let s(x) = -3756*x - 5. Let u(h) = -2105236*h - 2802. Calculate -2802*s(v) + 5*u(v). -1868*v Let h(b) = 2*b**2 - b - 1. Let d(u) = u**2 - 202*u + 2. Calculate d(f) + 2*h(f). 5*f**2 - 204*f Let n(b) = b + 1. Let c(v) = 9*v + 5. Let w(k) = -c(k) + 5*n(k). Suppose 0 = q + 1 - 3. Let g(m) = 10 - 50 + 14 + 26 + 11*m. Calculate q*g(x) + 7*w(x). -6*x Let x(r) = 12*r + 2 - 13*r - 4*r**3 + 3*r**3 - 7*r**2 - 4. Let z be x(-7). Let n(t) be the first derivative of -t - 1. Let h(m) = -m - 4. What is z*n(g) - h(g)? g - 1 Let g = -6 + 9. Let h(m) = -2*m + 2*m**2 + m**2 + 3 + 5*m - 6*m**g. Let i(t) = 17*t**3 - 8*t**2 - 8*t - 8. Let j = 21955 + -21952. What is j*i(f) + 8*h(f)? 3*f**3 Let m(h) = 6*h + 13. Let t(j) = -6*j + 18. Let s(y) = 5*y - 10. Let a(z) = -3*s(z) - 2*t(z). Give -13*a(o) - 6*m(o). 3*o Let m(u) = u - 587. Let r(t) = 3*t - 1199. Give 5*m(g) - 2*r(g). -g - 537 Let s(d) = 4*d**2 +
{ "pile_set_name": "DM Mathematics" }
pose s*v + 6 - 12 = 0. What is the closest to v in -1/3, -6, 4? -1/3 Let f = 16499 + -65999/4. What is the nearest to -3/16 in 1, f, 0.4? f Let k = -209 + 208.6. Let z be 7/((-2324)/16)*-1. Let s = 43/830 + z. Which is the closest to 0.1? (a) s (b) k (c) -0.8 a Let o = 2.95 + 0.05. Let g = 0.0221 + -0.1321. Which is the nearest to 2/3? (a) 4 (b) o (c) g c Let o be 1*-3*1/(-6). Let q(j) = 2*j**2 - 3*j + 1. Let b be q(-8). Let l = -153 + b. What is the nearest to 0.1 in o, -3/4, l? l Let l be (-24318)/1638 + (-15)/(-1). What is the closest to 20 in l, -90, 1, 0? 1 Let a = 273 - 272.91. Suppose 8*k = 7*k. What is the nearest to a in 2/11, k, -4? k Let p = -186 - -282. Let q = 96.2 - p. Let w = 32 - 255/8. Which is the closest to 0.1? (a) q (b) w (c) 2 b Let n be (28/35 - (-154)/(-105)) + 0. What is the closest to n in -21, -4, 5? -4 Let k = 0.5418 + -0.7741. What is the closest to 1 in -1, -5, k? k Let p(g) = 7*g - 93. Let q be p(13). Let d = -0.25 + 0.15. What is the closest to -2 in d, q, 0.04? q Let g = -0.2145 + -0.0855. What is the nearest to -1 in -8, -9, g, 2/3? g Let h = -1.2 + 1. Let t = 4.96725 + 0.03275. What is the nearest to -1 in -4, h, t? h Let d = 10.79 - -4.21. Which is the closest to d? (a) -2/15 (b) 0.4 (c) -59 b Let l = 588 - 584. Let d = 2.4 + -3. What is the nearest to 3 in d, -0.1, l? l Let t = 380.7 + -381. Let p = -13 - -10.4. Let s = 4 + p. What is the nearest to 1 in t, -1, s? s Let y = -4.205 - -2.205. What is the nearest to -56/5 in -5, -3, y? -5 Let h = 131 + -128.05. Let b = h - -0.05. Let o = 15.14 - 14.24. What is the nearest to -1 in 0.3, o, b? 0.3 Let r(b) = -2*b**3 + 30*b**2 - 4*b + 65. Let l be r(15). What is the nearest to 8 in 19, -1, l? l Suppose -7*r - 7 = 0, 5 = -2*g - 1266*r + 1267*r. Let v = -139/762 - -2/127. Which is the nearest to v? (a) g (b) 4/3 (c) -4 b Let t = 6794 + -6793. What is the closest to t in -2, 0.2, 0.09? 0.2 Let h = -306/535 + 1684/4815. Let f be (-1)/(-6)*(-3)/2. Which is the nearest to -3/10? (a) h (b) -4 (c) f c Let o(x) = 8*x - 148. Let r be o(18). Let n = 4.03 + -3.03. Which is the nearest to 0.6? (a) n (b) r (c) -4/7 a Let a be 14/(-63) - 424/(-288). What is the nearest to 13 in -2/7, -0.5, a? a Let n be (18/42)/(-2 - 70/(-49)). What is the closest to 903 in -2, 5/2, n, 0.1? 5/2 Let y = 2/7 - -3/14. Let o = 198 - 1384/7. Let m be 330/(-99) + 5/3. Which is the nearest to y? (a) m (b) -3 (c) o c Let w be (-144)/384 + ((-122)/24)/(2/3). Which is the closest to 0.2? (a) w (b) 3 (c) -3/8 (d) -3 c Let q = 0.18873 + 25.81127. Which is the closest to 0? (a) q (b) 7 (c) 2 (d) 0 d Let d = -30 + 29.9. Let i(n) = -2*n**3 - 39*n**2 - 20*n - 18. Let x be i(-19). Let c = 0.3 - 0.1. What is the closest to d in 0, c, x? 0 Let r = -343.9706 + -0.0294. Let h = 342 + r. What is the nearest to -0.03 in 0.2, 0, h? 0 Let v = -1.361 + -5.239. Let u = 19/30 - 2/15. What is the closest to -2/5 in v, u, 0.2? 0.2 Let i = -20.15 - -18.15. Let l(p) = p**2 + 2*p - 3. Let z be l(2). Which is the closest to i? (a) -3 (b) z (c) 1/3 a Let b(f) = f**3 - 6*f**2 + f + 6. Let u be b(6). Let j = 2991 - 2990.5. Let t = 8 - 26/3. What is the nearest to -2 in u, j, t? t Let x = -0.193 - 16.207. Let v = -11.9 + x. Let g = v + 28. What is the closest to -0.2 in 6, g, 0.4? g Suppose -5*u + 0*u + 54 = 2*c, -5*c - u = -158. What is the nearest to 0.3 in 0.1, -0.4, c? 0.1 Let q be (-49)/42*4/(-21). Let a = 0.2516 + -0.1516. What is the closest to 1 in a, q, -21? q Let h = -6460 - -6459.6. Which is the nearest to 0? (a) -0.3 (b) 1/3 (c) h (d) 30 a Let d = 2497 + -2498. Let h(j) = -2*j**2 - 11*j - 5. Let i be h(-5). Which is the nearest to 0.3? (a) i (b) d (c) 0.4 c Suppose 4 = 3*b - 5*b. Let w = -2.3 - -0.3. Let i = w + 0. What is the nearest to b in 0.1, -1, i? i Let x = -3194 + 3195. Which is the closest to x? (a) -3/4 (b) -8 (c) -4 (d) 2/5 d Let f = -19326 - -19326. Which is the closest to -1? (a) -27 (b) -5/6 (c) 3 (d) f b Let q = 0.44 + 24.56. Let g = -20.021 + 0.021. Let z = g + q. Which is the closest to -5? (a) z (b) 0.5 (c) -0.4 c Let i = -30702.3 - -30702. What is the nearest to i in -2, -3, -25, -3/2? -3/2 Let s be 32/406 - (-2652)/12818. Let y = -2 + 8. What is the nearest to s in -3, y, -1/4? -1/4 Let y = -0.67457 - 0.32543. Which is the closest to 0.0609? (a) -1/3 (b) 0 (c) y b Let o = -68 - -119. Let s = o - 51.1. Let n = -0.8 + 0.6. Which is the nearest to s? (a) 1/5 (b) n (c) -5 b Suppose -10 = 5*f - 0. Let g = 704 - 704.209. Let j = g - 0.791. What is the nearest to -0.1 in 4, f, j? j Let w = 5/57 + -2083/23313. Let a = 2488/20859 + w. Let h = -2593 - -2594. What is the nearest to -1/4 in h, 1/4, a? a Let h = 248 - 249. What is the closest to h in -2/13, 23, -2/5, 4? -2/5 Let v = -6336 + 6337. What is the closest to v in -5, -31, -17/5? -17/5 Let d be -2*(-64)/(-6)*210/(-56). Let r be (3/12)/(30/d). What is the nearest to r in -1, -2, -0.4, 0.4? 0.4 Suppose -5*i + 14 = d, -4*i + 1 + 6 = 5*d. Let h be ((-37)/(-20) - 2)*120/(-135). Let u = 6 + -6. Which is the nearest to 2? (a) d (b) u (c) h c Let r = -50113/95 - -2637/5. What is the nearest to 0.4 in 64, r, -0.4? r Let z = 3/2081 - 2093/8324. What is the nearest to 2/9 in 0.2, -1/2, z? 0.2 Let p = -477 + 336. Let r = p + 142. Which is the nearest to r? (a) -2/33 (b) 0.1 (c) 0.5 c Let y = 550.5 + -547.5. Suppose -4 - 4 = 4*p. Which is the closest to 1/3? (a) 5 (b) y (c) p c Let y be -2*(-40 + 39)*1/(-9). What is the nearest to 0.6 in y, -1, -4/7? y Let g = -999 - -995. Which is the nearest to -0.1? (a) g (b) 0.2 (c) -12 (d) 1/2 b Let g = 39468 - 39468.1. Let i = -0.02 - -0.42. What is the nearest to g in 0.5, -1, i, -24/5? i Let j = -0.723 + 0.323. What is the nearest to 0 in j, -1/6, -114? -1/6 Let y(z) = -2*z**3 - 19*z**2 + 8*z - 10. Let j be y(-10). Suppose 2*g - 5*g - 5*p = -10, 4*g - j = -5*p. What is the closest to 2/3 in g, -1.7, -2? g Let r = 0.072 - 0.121. Let n = 14.951 - r. Let i = 0.08 - 0.18. What is the closest to i in -1/4, 1, n? -1/4 Let f = 30.803 - 31. Let p = f + 0.297. Which is the nearest to p? (a) 0.04 (b) 0.6 (c) 0.1 c Let y = -2118.9 - -2824. Let c = -705 + y. What is the nearest to c in 1/4, 1, 0.5, 6? 1/4 Let k = -8904 - -8899. Which is the closest to 3/4? (a) 0.034 (b) -0.04 (c) k a Suppose -2*f + 0 - 10 = 0. Let t = -5244 + 5243.89. What is the closest to t in -4, 0.4, f? 0.4 Let h be (-32)/80 - 3846/(-2015). Let d = h - 42/31. What is the closest to -0.05 in d, -0.07, -5? -0.07 Let g = -2.29 + 3.29. Let l = -1 - -0.9. Suppose 0 = -4*o - 2*f - 4, -3*o + 5*f - 4*f - 13 = 0. Which is the closest to l? (a) g (b) -0.1 (c) o b Let o = -61.17 + 61.07. What is the closest to -5 in -3, -10/7, o? -3 Let t = 0.22 - 1.62. Let u = -41.6 + t. Let p = -44 - u. What is the closest to 2 in 2/9, p, 0.3? 0.3 Suppose -20 = -3*u + p, 81*p - 79*p = 3*u - 25. Let n(k) = 2*k - 1. Let t be n(1). What is the closest to t in 0.24, -2/9, u? 0.24 Let u = 228 + -85. Let m = u + -142. Which is the closest to m? (a) 5 (b) 0.4 (c) 0.05 b Suppose 2*f = -8*g + 12*g - 12, -14 = -4*g + 3*f. What is the nearest to 1 in g, 4, -0.2? g Let t = -29162 - -29157. Let k = -0.1 - -0.1. Which is the closest to k? (a) -1 (b) 0.3 (c) t b Let g = 0 - 4. Suppose -107*j - 125 = -82*j. Let v be ((-2)/(-5))/(6/(-5)). Which is the nearest to v? (a) g (b) j (c) -2/5 c Let v be (31537/44)/47 - 15. Let z be -2*(-2)/(-8) - -1. Which is the nearest to v? (a) 5/2 (b) z (c) 2 b Let y(l) = -2*l**3 + 16*l**2 - 12*l + 5. Let z be y(7). Suppose 6*k + 13 = z*k. What is the closest to -2/19 in 2/21, k, -1? 2/21 Let l = -5018/15063 + -1/5021. Let g be (-105)/(-28)*2/(-5). What is the nearest to l in 3/2, g, -5? g Let u = -1.5 + 2. Let l = -155 + 169. Suppose 0 = 2*f + 10, -4*d - 3*f + f = l. What is the closest to -2 in 0.4, d, u? d Suppose 5*z + v = 15 + 39, -36 = -4*z + v. What is the closest to z in -11, 0.2, -3, 0.5? 0.5 Let k be (-90)/150*22/3 + 8. Which is the nearest to 1? (a) 0 (b) -1 (c) k a Suppose 0 = -487*o + 466*o - 84. Let h be (9/6)/(66/(-8)). Which is the nearest to h? (a) 3 (b) o (c) 2/3 c Let i = -84629/36 + 21155/9. Suppose 0 = 2*p + 5*t - 2*t - 19, -p + 2*t = -6. What is the near
{ "pile_set_name": "DM Mathematics" }
v. -4*v**3 + 17 Let h(v) be the second derivative of 0*v**2 + 6*v + 5/6*v**4 + 0 + 0*v**7 + 0*v**5 + 0*v**3 + 3/14*v**8 + 0*v**6. What is the third derivative of h(l) wrt l? 1440*l**3 What is the third derivative of 17*z**2 + 215*z**5 - 41*z**2 + 13*z**5 - 14*z**2 wrt z? 13680*z**2 Let x be 6 - (-3)/6*-8. What is the second derivative of 23*b**2 - x*b - 3*b - 10*b**2 wrt b? 26 Differentiate 4 + 5 + 4*k**3 + 8*k**3 + 7*k**3 with respect to k. 57*k**2 Suppose 0 = 9*v - 13*v + 192. What is the third derivative of 21*d**2 - 28*d**4 - 2*d**4 - v*d**2 + 20*d**2 wrt d? -720*d Let n(o) = -180*o**2 - 158*o - 13. Let a(i) = 45*i**2 + 40*i + 3. Let z(d) = -9*a(d) - 2*n(d). What is the second derivative of z(p) wrt p? -90 Let n(o) be the third derivative of -13*o**6/60 + 8*o**3/3 + 13*o**2. Differentiate n(u) wrt u. -78*u**2 Suppose 7*o - 39 = 10. Find the third derivative of o*k**4 - 12*k**4 - 7*k**4 + k**2 - 4*k**2 wrt k. -288*k Let i be (16/36)/((-2)/(-9)). Suppose -8*r + 42 = -i*r. What is the first derivative of 16*l**4 - 10*l**4 - r*l**4 - 9 wrt l? -4*l**3 Let r(d) be the third derivative of -73*d**7/210 - d**6/60 + 23*d**5/12 - 100*d**2 - 2*d. Find the third derivative of r(j) wrt j. -1752*j - 12 Let s(r) = r**3 - r**2 + r + 2. Let z(m) = 41*m**3 + 14*m**2 - m - 2. Let b(p) = -s(p) - z(p). Find the third derivative of b(d) wrt d. -252 Let z be (-12)/28 - -4 - 12/21. Find the second derivative of -10*m - 32*m**2 + 13 + 12*m + z - 6 wrt m. -64 Suppose -5*l - 2*l = -14. What is the derivative of -7*d**2 + 5*d**2 - 7 - 4*d**2 - 2*d + 4*d**l wrt d? -4*d - 2 Let g(z) be the first derivative of -3*z**5/5 - 19*z**4/4 - z**3 + 11*z**2 - 71. What is the third derivative of g(o) wrt o? -72*o - 114 Find the second derivative of 35*m**5 - 4*m + 1 + 2*m + 5*m + 0*m wrt m. 700*m**3 Suppose 5*v - 4 = 26. Let x be (-4)/v + (-16)/(-6). Find the second derivative of x*a**3 + 12 - 3*a + 5 - 17 wrt a. 12*a Let o be 12/8*4/(-6). Let g be 10/3 - o/(-3). Differentiate -8 + 10*r - 6*r + g*r wrt r. 7 Let i(z) be the first derivative of 98*z**3/3 - 3*z**2 - 4*z + 2. Find the second derivative of i(l) wrt l. 196 Let h be (-99)/(-11) - (1 - 1). Suppose 2*g - h = 19. Find the second derivative of u**3 - 3*u**3 - 19*u + g*u wrt u. -12*u What is the derivative of 28*f**2 - 25*f**2 + 14 - 2*f**3 + 26*f**2 wrt f? -6*f**2 + 58*f Let l(f) = -193*f + 635. Let k(q) = 194*q - 631. Let b(w) = 5*k(w) + 6*l(w). Find the first derivative of b(m) wrt m. -188 Let x(b) be the third derivative of 9*b**6/40 + 4*b**5 + 118*b**2. Find the third derivative of x(f) wrt f. 162 Let k(g) be the first derivative of 0*g - 5/2*g**2 - 5/24*g**4 - 3 - 2/3*g**3. Let s(j) be the second derivative of k(j). What is the derivative of s(r) wrt r? -5 Differentiate 22 - 74 - 106 - 141*y**2 + 290*y**2 - 70 wrt y. 298*y Let q(a) be the first derivative of 119*a**5/5 - 409*a - 628. Find the first derivative of q(m) wrt m. 476*m**3 Let a(i) = -i**3 + 6*i**2 + 18*i - 6. Let w be a(8). Let n be 2/(-6)*6/(-2). What is the second derivative of -n + 1 - w*x - x**3 + 4*x wrt x? -6*x Let g(v) = v + 21. Let l be -15 + (-3 - -6)*-1. Let w be g(l). What is the second derivative of -z + 7*z**3 - 4*z**w + z**3 wrt z? 24*z Let m(j) = -7*j**4 + 8*j**3 - 8*j**2 - 82. Let o(p) = 6*p**4 - 6*p**3 + 7*p**2 + 82. Let c(k) = 3*m(k) + 4*o(k). What is the derivative of c(x) wrt x? 12*x**3 + 8*x Let a(y) = -y - 1. Let i(q) be the first derivative of -q**2/2 - 3*q + 9. Let g = -14 - -4. Let c(t) = g*a(t) + 5*i(t). Find the first derivative of c(p) wrt p. 5 Suppose 4*n - 5*m + 7 = -2, 4*m = -4*n. Let b = 2 - n. What is the first derivative of -5 + 6 + 2 + b*d**4 wrt d? 12*d**3 Let d(n) be the third derivative of 223*n**9/504 + 2*n**5/3 - n**3/6 - 3*n**2 + 2*n. What is the third derivative of d(o) wrt o? 26760*o**3 Let v(z) = -z**3 + 3*z**2 + 13*z - 86. Let u(h) = 4*h**3 - 8*h**2 - 37*h + 257. Let k(q) = 3*u(q) + 8*v(q). Differentiate k(f) wrt f. 12*f**2 - 7 What is the second derivative of -30*i + 30*i**2 + 38*i**2 - 17*i + 6*i**2 wrt i? 148 Let c(p) be the first derivative of -289*p**2/2 + 76*p + 505. Differentiate c(w) wrt w. -289 Suppose 3*c - 12 = 0, -3*p - c - 4*c = -89. Suppose 4*o - 5*o = 5*u - 1, p = 3*o - 5*u. Differentiate 5 + 0 + 3*k**3 + o*k**3 with respect to k. 27*k**2 Let k(j) be the second derivative of -j**6/24 + 7*j**5/60 - j**2 - 13*j. Let y(o) be the first derivative of k(o). What is the third derivative of y(w) wrt w? -30 Let u be (-2 - -7)*1/1*1. Find the third derivative of 22 + 3*q**4 - 22 - 20*q**2 + u*q**4 wrt q. 192*q Let g be (-10)/35 + 2/7. Let c(f) be the third derivative of 1/24*f**4 + g + 5*f**2 + 0*f**3 - 1/20*f**5 + 0*f. What is the second derivative of c(q) wrt q? -6 Suppose -2*t - 5 = -7*t. Suppose -13 + t = -3*v. Find the second derivative of -v*k + 7*k**5 - 2*k**5 + 2*k - 2*k**5 wrt k. 60*k**3 Let q = 14 - 9. Suppose 1 = q*s - 3*j - 1, -2*j = 3*s - 5. Differentiate -5 + s + 4*g - 6 wrt g. 4 Let r(y) be the first derivative of 16*y**7/7 - y**3/3 - 7*y**2/2 - 38. What is the third derivative of r(b) wrt b? 1920*b**3 Let m(f) = -f**4 - 4*f**3 + 5*f**2 + 10*f - 1. Let j(x) = x**4 - x**3 - 2*x**2 - 1. Let a(t) = 4*j(t) - m(t). Find the second derivative of a(v) wrt v. 60*v**2 - 26 What is the derivative of 2498 + 55*a**2 + 2413 - 5013 wrt a? 110*a Let s(j) be the third derivative of -43*j**8/112 + j**4/12 + j**3/6 + 57*j**2. What is the second derivative of s(k) wrt k? -2580*k**3 Let g(t) be the third derivative of -107*t**7/70 + t**6/60 + 38*t**3 - 531*t**2. Differentiate g(y) with respect to y. -1284*y**3 + 6*y**2 Let p(w) be the third derivative of -27*w**6/40 + w**5/3 - 64*w**2. Find the third derivative of p(f) wrt f. -486 Differentiate 503 + 389*d - 211*d**4 - 4*d**3 + 2*d**3 - 389*d - d**3 with respect to d. -844*d**3 - 9*d**2 Let z(l) = 49*l**3 + 4*l**2 + 262. Let k(y) = y**3 - 2*y**2 - 1. Let w(g) = -3*k(g) - z(g). Find the third derivative of w(q) wrt q. -312 Let w(x) = 3*x**3 - 57*x**2 + 4*x + 2. Let b(q) = 12*q**3 - 229*q**2 + 18*q + 9. Let m(n) = 2*b(n) - 9*w(n). Find the third derivative of m(p) wrt p. -18 Let k(f) = f**2 - 3*f - 2. Suppose -8 = -3*c + 4. Let q be k(c). Find the third derivative of 2*d**5 + 8*d**2 - 10*d**q + 5*d**5 wrt d. 420*d**2 Suppose 4*x = -3*v - 0*x + 50, 3*v - 40 = x. Find the first derivative of v*b - 6 + 10*b - 1 + 0 wrt b. 24 Suppose 3*b + 39 = 3*j, j = 5*j - b - 64. What is the first derivative of -49*c - j - 3*c**3 + 49*c wrt c? -9*c**2 Let m(v) be the first derivative of 781*v**2/2 + 471*v + 646. What is the derivative of m(h) wrt h? 781 Let n(y) be the third derivative of 0 + 1/10*y**6 + 12*y**2 + 0*y - 7/6*y**3 + 0*y**5 + 0*y**4. Differentiate n(s) with respect to s. 36*s**2 Let h(c) = -3*c**4 + 6*c**3 - 49*c**2 + 60*c + 620. Let i(k) = 7*k**4 - 13*k**3 + 97*k**2 - 130*k - 1240. Let q(p) = 13*h(p) + 6*i(p). Differentiate q(y) wrt y. 12*y**3 - 110*y Let b(s) = -2*s**2 + 8*s + 2. Let x be b(4). Differentiate -21 + 14 + 10*c**x + 8 wrt c. 20*c Let w(z) = z**3 + z**2 - 1. Let s(y) = 90*y**3 - 5*y**2 - 2*y - 33. Let p(q) = -s(q) - 5*w(q). What is the second derivative of p(n) wrt n? -570*n Let s(y) = 25*y**3 + 10*y**2 + 358. Let p(h) = -2. Let i(q) = 6*p(q) + s(q). What is the derivative of i(n) wrt n? 75*n**2 + 20*n Let w(p) be the third derivative of -4*p**5/15 + 41*p**3/2 + 48*p**2 - p. Differentiate w(t) with respect to t. -32*t Let c(s) = -23*s**3 + s**2 + s. Let y = 7 + -8. Let m be c(y). What is the first derivative of 2*i**4 - 3 + 23*i - 3 - m*i wrt i? 8*i**3 Let y(a) be the second derivative of 0*a**2 + 0*a**5 + 0 + 9*a + 0*a**6 - 2/7*a**7 + 19/12*a**4 + 0*a**3. What is the third derivative of y(b) wrt b? -720*b**2 Differentiate 216*n**2 + 110*n**2 + 120*n**2 - n**3 + 936 + n - n with respect to n. -3*n**2 + 892*n Let n(s) = -2*s - 6. Let f be n(-3). Suppose -5*v + 10 = -f*v. What is the third derivative of -y**v + 2*y**2 - 10*y**2 + 7*y**3 + 4*y**3 wrt y? 66 Let o(k) be the first derivative of 31 + 0*k**6 + 0*k**2 - 4*k**3 + 0*k**4 + 0*k - 3/7*k**7 + 0*k**5. Find the third derivative of o(s) wrt s. -360*s**3 Let o(c) = -13*c - 7. Let s(n) = 38*n + 21. Let i(k) = -k**2 - 8*k + 9. Let h be i(-10). Let q(b) = h*o(b) - 4*s(b). What is the first derivative of q
{ "pile_set_name": "DM Mathematics" }
e third derivative of -u**6/40 + u**3/2 - 7*u**2. What is the derivative of f(v) wrt v? -9*v**2 Let d(o) be the first derivative of 13*o**6/2 + 3*o**3 + o**2/2 - 4. Find the third derivative of d(z) wrt z. 2340*z**2 Let t(z) = -9*z**3 - 5*z + 4. Let l(i) = 10*i**3 + 6*i - 5. Let n(y) = 5*l(y) + 6*t(y). What is the first derivative of n(s) wrt s? -12*s**2 Let k(c) be the first derivative of 5*c**4/4 + c - 3. What is the first derivative of k(r) wrt r? 15*r**2 What is the third derivative of -241 + 7*d**2 + 241 + 35*d**3 wrt d? 210 Let t(u) = -1 - 5*u - u**4 + 3*u + 2*u. Let h(c) = 8*c**4 - 2. Let n(a) = h(a) + 2*t(a). What is the derivative of n(i) wrt i? 24*i**3 Let d be 2/(-7) + 4/14. Suppose d = 2*q - 5*b + 7, 2*b = 4*b - 6. Differentiate -2 - 2*p**2 + q*p**2 + 1 wrt p. 4*p Let o(f) be the first derivative of f**9/84 + f**5/30 + 4*f**2 + 7. Let g(a) be the second derivative of o(a). What is the third derivative of g(h) wrt h? 720*h**3 Let z(c) be the second derivative of c**11/6160 + c**7/280 - 5*c**4/6 + 8*c. Let p(f) be the third derivative of z(f). Find the third derivative of p(n) wrt n. 1080*n**3 Let y(p) = p. Let c(h) = -4*h**2 - 2*h. Suppose 3*d - 8*d + 10 = 0. Let r(k) = d*y(k) - c(k). What is the second derivative of r(b) wrt b? 8 Let a(z) be the first derivative of 0*z**5 + 0*z**2 + 0*z + 2/3*z**3 + 0*z**4 - 3/7*z**7 - 1 + 0*z**6. Find the third derivative of a(f) wrt f. -360*f**3 Let t be (10/(-25))/((-1)/5). Suppose 0 = i - 1 - t. Find the second derivative of 3*g**i - 2*g**3 - 4*g**3 + 3*g wrt g. -18*g Let s(b) be the third derivative of -b**8/112 - b**5/10 - b**2. What is the third derivative of s(i) wrt i? -180*i**2 Let h(o) be the first derivative of o**8/28 + 7*o**4/12 + 5*o - 7. Let i(t) be the first derivative of h(t). Find the third derivative of i(g) wrt g. 240*g**3 Let g be (15/9)/((-2)/(-6)). Find the second derivative of 0*p**3 + 5*p**3 - 3*p**3 - g*p wrt p. 12*p Let m(y) = 16*y**2 + 26. Let c = 1 - -1. Let n be c + 3*4/(-3). Let j(v) = -3*v**2 - 5. Let u(b) = n*m(b) - 11*j(b). Differentiate u(s) wrt s. 2*s Let z(k) be the second derivative of -2*k - 3/20*k**5 + 0*k**3 + 0*k**2 + 0 + 5/12*k**4. What is the third derivative of z(o) wrt o? -18 Suppose -2*g = 2*g. Suppose 6*z - z + 15 = 5*y, g = -4*z - y + 13. What is the third derivative of -2*c**2 + c**z + 3*c**2 - c**3 wrt c? -6 Let z = 2 + 0. Let j be 10/(-15)*(-3)/z. Find the first derivative of -g + j + 3*g - g wrt g. 1 Differentiate 2 - 8*p**3 - 12 + 131*p**2 - 131*p**2 with respect to p. -24*p**2 Suppose 2 = 2*z - 4. What is the third derivative of 2*q**2 - q**3 - 2*q**6 + 0*q**2 + q**z wrt q? -240*q**3 Let i(r) be the first derivative of -3*r**4/2 - 6*r + 3. What is the first derivative of i(v) wrt v? -18*v**2 Suppose -2*c + 8 = -2*o, c + 16 = 5*o + 5*c. Let g be (o/(3/(-3)))/(-1). Find the second derivative of g*s**2 + s + 0*s**2 + 3*s**3 - 5*s wrt s. 18*s Let m = 12 + -9. What is the second derivative of -m*w**4 + 0*w + 0*w**4 - 4*w wrt w? -36*w**2 Let v(r) = -8*r**3 + 2*r - 5. Let q(x) = 31*x**3 - 9*x + 21. Let g(t) = 2*q(t) + 9*v(t). What is the first derivative of g(k) wrt k? -30*k**2 Suppose 0 = -4*n - 4*h + 36, 2*h = -4*n + 20 + 8. Suppose 2*s - 9 + n = 0. Find the second derivative of -i**s + i - 21 + 21 wrt i. -2 Suppose 0*r - 3 = -r. What is the third derivative of -6*j**5 + r*j**5 - 4*j**5 - j**2 wrt j? -420*j**2 Let b(z) = 15*z**3 - 153*z**2 + 27*z - 27. Let t(l) = 2*l**3 - 22*l**2 + 4*l - 4. Let w(m) = 4*b(m) - 27*t(m). Find the third derivative of w(x) wrt x. 36 Let p(o) be the third derivative of 0 + 2*o**2 + 1/40*o**6 + 0*o + 1/60*o**5 + 0*o**4 + 0*o**3. What is the third derivative of p(d) wrt d? 18 Let q = 50 - 48. Suppose 0 = -2*n + 7*n. Find the third derivative of b**4 + 3*b**q + n*b**4 + 2*b**4 wrt b. 72*b Suppose -6*f - 3*s = -2*f + 7, 3*s + 11 = -2*f. What is the derivative of 4 + r - r + r - f wrt r? 1 Let t(f) be the third derivative of f**7/35 - 7*f**3/6 - 4*f**2. What is the derivative of t(z) wrt z? 24*z**3 Let o(m) be the first derivative of 19*m**5/5 + 13*m**2 - 16. Find the second derivative of o(i) wrt i. 228*i**2 Let x(l) = -l**3 - l**2 - 1. Let c(n) = -47*n**4 - 4*n**3 + 46*n**2 - 4. Let t(m) = c(m) - 4*x(m). Find the third derivative of t(a) wrt a. -1128*a Let r(n) be the third derivative of -13*n**7/210 - 5*n**3/6 - 19*n**2. What is the derivative of r(z) wrt z? -52*z**3 Let s(j) = 45*j + 165. Let n(q) = -q - 2. Let a(i) = -90*n(i) - s(i). Differentiate a(z) with respect to z. 45 Let g be (-3)/(2*3/(-8)). Find the second derivative of -5*m**4 - m - 3*m - m + m**g wrt m. -48*m**2 Let w(z) be the first derivative of z**5/20 + 5*z**4/24 + z**3 - 7. Let p(s) be the third derivative of w(s). What is the first derivative of p(h) wrt h? 6 Suppose -3*i + 5*t + 11 = 0, 13 + 6 = -5*i - t. Let b be (i/(-6))/((-1)/(-6)). What is the derivative of -2 + 0 + b*k**3 + 4 wrt k? 9*k**2 Let l(d) be the first derivative of -d**7/14 + 7*d**3/6 + 3*d - 5. Let v(q) be the first derivative of l(q). What is the second derivative of v(a) wrt a? -60*a**3 Let m(p) = -p + 2. Let t be m(1). Find the first derivative of -s**2 - 4*s**2 + 2 - t + 1 wrt s. -10*s Let p(r) be the first derivative of r**4/4 - 14*r**2 - 46. What is the second derivative of p(x) wrt x? 6*x Let l(s) = 4*s**2 - 3*s + 6. Let c(r) = -1 + r - 1 + 2 - 1. Let v(b) = 6*c(b) + l(b). What is the second derivative of v(w) wrt w? 8 Let w(t) be the first derivative of 0*t - 4/3*t**3 + 0*t**4 + 3 + 0*t**2 - 2/5*t**5. Find the third derivative of w(f) wrt f. -48*f Let m = 4 - 3. What is the derivative of -2 - m + f**2 + 0 + 3*f**2 wrt f? 8*f Let f(g) = g**3 + 3*g**2 - 2. Let y be f(-2). Find the third derivative of l**y - 6*l**4 + 6*l - 6*l + 0*l wrt l. -144*l Let k(n) = n**6 - n**4 - n**3 - n**2 - n. Let l(f) = 26*f**6 + 2*f**4 + 2*f**3 + f**2 + 2*f. Let w(s) = 2*k(s) + l(s). Find the third derivative of w(x) wrt x. 3360*x**3 What is the third derivative of 2*d**3 - 9*d**2 - 2*d**3 + 5*d**3 - d**3 wrt d? 24 Suppose -j + 16 = 4*o, 0*o + 5*j + 35 = 3*o. Find the second derivative of -115*i**3 + 115*i**3 - 2*i + 5*i**o wrt i. 100*i**3 Let s(k) = -k**2 + 5*k + 2. Let p be s(5). Let u be 4*-1*(-1)/1. Find the second derivative of -h**4 + 2*h**u - p*h + 6*h - 3*h wrt h. 12*h**2 Let u = -5 + 7. Suppose 5*r - 8 = u*k, -2*k = 1 - 3. Find the third derivative of -m**4 - m**r + 0*m**2 - m**2 wrt m. -24*m Let l(b) = -4*b**4 + 11*b**3 - 73. Let j(i) = -2*i**4. Let q(c) = 3*j(c) - l(c). Find the first derivative of q(k) wrt k. -8*k**3 - 33*k**2 Suppose s + 0*s = 4*p + 19, 5 = 3*s + p. What is the first derivative of 0 - 3*l**4 + 1 - 3*l + s*l wrt l? -12*l**3 Let b be 0/(-9) + 2 + 0. Let k(h) be the second derivative of 0 + 0*h**3 + 2*h - 1/6*h**4 + 1/2*h**b. Find the first derivative of k(p) wrt p. -4*p Let s(q) = -120*q**3 + 6*q**2 - 14*q - 10. Let y(f) = -40*f**3 + 2*f**2 - 5*f - 3. Let c(t) = -3*s(t) + 10*y(t). What is the third derivative of c(a) wrt a? -240 Let i(y) be the first derivative of -y**9/1512 - y**6/180 - 2*y**3/3 + 1. Let l(u) be the third derivative of i(u). What is the third derivative of l(r) wrt r? -120*r**2 Let r(b) be the second derivative of -b**7/210 + b**6/360 + b**3/6 - 3*b. Let a(p) be the second derivative of r(p). What is the third derivative of a(m) wrt m? -24 Let a(s) be the second derivative of 35*s**4/12 + 23*s**2/2 + 35*s. What is the derivative of a(l) wrt l? 70*l Let t(u) be the second derivative of -1/4*u**4 + 0*u**2 + 0 - 1/3*u**3 + 3*u. What is the second derivative of t(q) wrt q? -6 What is the derivative of 22 - 27*u + 11 + 13 - 17*u wrt u? -44 Suppose -3*z + 1 = -5. Let f be 5/1 + -3 + z. Differentiate -1 + 2*y - f*y + y wrt y. -1 Let k(v) = -25*v**2 + 29*v - 3. Let w(y) = 50*y**2 - 57*y + 7. Let r(p) = 7*k(p) + 3*w(p). What is the second derivative of r(a) wrt a? -50 Suppose -8*w = -4*w. Let l(p) be the second derivative of 0*p**2 + p - 1/6*p**3 + w + 1/12*p**4. Find the second derivative of l(n) wrt n. 2 Let g(x) be the third derivative of 5*x**8/42 - 4*x**5/15 - x**3/6 - 8*x**2. Find the third derivative of g(v) wrt v. 2400*v**2 Find the third derivative of 0*g**3 - 34*g**2 + 0*g**3 + 14*g**5 + 21*g**2 wrt g. 840*g**2 Find the first derivative of -662 - 3*u*
{ "pile_set_name": "DM Mathematics" }
m, -5*m + 8*m = 4*r - 9. Suppose 6 = o - q, 34*q + 3 = 4*o + 37*q. Let y(g) = -2*g + o*g - 113 + 107 - 7*g + 5*g. What is y(r)? -6 Let d be -1 - ((-2)/5 - 126/35). Let a(m) = -141*m**3 - 137*m**3 - 1 - 143*m**3 - 3*m**2 + 420*m**d - 2*m. Determine a(-3). 5 Let p(v) = 1. Let x(y) be the second derivative of y**3/2 + 9*y**2 - 87*y. Let k(t) = -18*p(t) + x(t). What is k(-3)? -9 Let a(i) = -44*i**3 - 1. Let b(y) = -y**3 + 3*y**2 + 16*y - 47. Let d be b(4). Give a(d). -45 Let p(x) = 2*x**3 + 2*x**3 - 2*x**3 - 1 - 1657*x**2 - 3*x**3 + 1656*x**2. Let u be ((-8)/6)/(12/(-18)). Calculate p(u). -13 Suppose -2*r - 20 = -14. Suppose -8*d - 4*d - 24 = 0. Let v be d/(-3)*3/(-6)*r. Let z(p) = 32*p**3 + p**2 - 1. What is z(v)? 32 Let n be ((-10)/(400/(-15)))/((-2)/(-16)). Let m(p) = -5*p + 597 - 1200 + 598 - p**n + 8*p**2. Determine m(7). 9 Suppose 4*h - 16 = -n, n - 5*h + 45 = -4*n. Let a be 3/(-1 + (-2)/n). Let w(u) = -31*u - 27*u + 59*u + 7. Give w(a). 1 Let r(n) = -12*n + 62. Let l be r(5). Let m(i) = -5 + 122*i - i**l - 112*i + 4. Determine m(9). 8 Let u(v) = 15*v + 6*v + 9 - 46 + 12 + 11. Give u(4). 70 Let k(j) = -14*j - 267. Suppose -290*g - 2394 = -164*g. Determine k(g). -1 Let s(p) = 7*p. Let x be 20*(-1 + (-2)/(-4)). Suppose 0 = -17*c - 13 - 140. Let b = x - c. Give s(b). -7 Let u(v) = -6*v - 18. Let o(p) = -51*p - 186. Let f(w) = 2*o(w) - 21*u(w). Determine f(-4). -90 Let i(t) = 2*t**3 - 3*t - 4. Let k(h) = -6*h**3 + 7*h + 9. Let b(a) = -5*i(a) - 2*k(a). Let l = -18 - -16. Give b(l). -16 Let o(m) be the third derivative of -m**6/120 + 3*m**5/20 - 5*m**4/12 - m**3/3 + 3504*m**2. Calculate o(8). -18 Let d(t) = -8*t + 169. Let g be d(21). Let a(s) = -47*s**3 + 1. Calculate a(g). -46 Suppose 0 = 10*q - 1043 + 143. Let r(n) = 96*n + q*n - 184*n - 6. Calculate r(12). 18 Let p(i) = 2*i - 8. Let x be 352/(-121) + 3 - 96/(-33). Give p(x). -2 Let w(p) = 15*p - 30. Suppose -437 + 445 = -o + 4*f, 5*o - 3*f = 45. Calculate w(o). 150 Let p(i) = -i**2 + i + 7. Suppose -16*w - 2353 = -785. Let z be 0/(10/(-7) - (-56)/w). Determine p(z). 7 Let z(d) = -d**2 + 9*d - 14. Let m be z(6). Let y be (-3)/3*m + 7 + -4. Let c be ((-5)/(-5))/((-9)/6 - y). Let w(o) = 3*o**2 + 2*o - 2. Calculate w(c). 6 Let p(g) = g**2 + 2*g - 15. Suppose 3*f = v + 9, -f = -299 + 298. Calculate p(v). 9 Let i(a) be the first derivative of -8*a**2 - 52*a - 373. Determine i(-4). 12 Let h = 3615 + -3615. Let b(g) = 3*g**2 + g - 2. What is b(h)? -2 Let a(q) be the first derivative of -q**3/3 + 3*q**2 + 3*q - 5. Suppose -42*u - 76 = -43*u. Let m be (-152)/u - (1/1 - 7). Give a(m). 11 Let v(k) = -74*k**2 - 31*k + 56. Let y(t) = -27*t**2 - 10*t + 17. Let n(p) = 4*v(p) - 11*y(p). What is n(12)? 13 Let h(u) = 14 - u + 18 + 18 - 49. Let j be 4/(-2) - (-3)/((-9)/6). Calculate h(j). 5 Let t(c) = c - 3. Let g(m) = m**3 + 7*m**2 + 4*m - 9. Let y be g(-6). Suppose 5*p = y*p + 2. Let l be p + (0 - (-3)/(-3)). Calculate t(l). -3 Let o(k) = -4*k - 3. Let v(h) = -h**3 - 3*h**2 + 47*h - 15. Let w be v(-11). Let c = w + -441. What is o(c)? 17 Let s = -48 + 52. Suppose -s*p = -4*p - 4*p. Suppose p = -0*x - 0*x + 6*x. Let t(y) = -y + 5. Calculate t(x). 5 Let q(v) be the second derivative of 2*v**3/3 + 17*v**2 - 233*v. Give q(0). 34 Let l(g) = -4*g + 3. Suppose 4*z - 9 = 15. Suppose z*w = 2*w - 4. Let a be ((-1)/w)/(-2) - (-5)/2. Calculate l(a). -5 Suppose -2*p - 3*p + 25 = 0. Suppose 11 = -p*h + 91. Suppose -11*n = -h*n - 10. Let d(m) = -2*m**2 + 3*m + 3. Give d(n). -11 Let w(r) = 3*r**2 + 193*r - 298. Let t be w(-66). Let p(h) = -h**3 + 31*h**2 + 34*h - 80. Give p(t). -16 Let i(d) be the second derivative of -7*d**3/3 + 9*d**2/2 + 3*d. Let t(l) = 5*l - 3. Let q = 181 - 185. Let a(x) = q*i(x) - 11*t(x). Give a(3). 0 Let x(t) = -t**2 - 9*t + 13. Let l(h) = h**2 + h - 2. Let p be l(3). Let k = 22 - 19. Suppose -p*z = -k*z + 70. What is x(z)? 3 Let t(d) be the third derivative of 7*d**4/8 + 653*d**3/6 - 1383*d**2 + 3. What is t(-31)? 2 Suppose -190*g + 191*g - 3 = 0. Let l(n) = 13 - 101*n**3 - 10*n**2 + 34*n**3 + 34*n**g + 7*n + 34*n**3. What is l(9)? -5 Let o be (-2)/5 + 1/5*2. Let z(x) = 784*x - 3*x**2 + 6 + 7*x**3 + o*x**3 - 788*x. Let c(i) = i**3 - i**2 + 1. Let h(v) = 6*c(v) - z(v). Calculate h(-4). 0 Let x(u) = -u**2 - 41*u + 4. Suppose -5*q + 3*i - 199 = 0, -5*q + 21*i - 22*i - 207 = 0. Calculate x(q). 4 Let h(b) = -b + 2. Suppose r = -17 + 22. Suppose c - 35 = 3*j + j, -71 = -3*c - r*j. Let z = c + -27. Determine h(z). 2 Suppose 2*y - 70 = 2*u, -2*y - 32*u = -36*u - 80. Suppose 0*g - 4*g = 3*h + 21, 5*h + 5*g = -y. Let l(w) = -2*w**2 - 3*w - 3. Determine l(h). -12 Let r(x) = 1. Let c(z) = -z**2 - 98*z - 282. Let p(w) = -c(w) + 5*r(w). Give p(-3). 2 Suppose -3*y - 98*n = -97*n - 23, -4*n = 4*y - 44. Let z(h) = 42*h - 250. Calculate z(y). 2 Let l(h) be the third derivative of -29*h**4/24 - 7*h**3/6 - 6506*h**2. What is l(-1)? 22 Let y(m) be the second derivative of -3*m + 0*m**2 + 1/6*m**3 - 4. Give y(5). 5 Suppose 0*x + 4*x = i - 261, 0 = -8*x + 4*i - 532. Let c(g) = 5*g**2 + 319*g - 63. Give c(x). 1 Let u(n) be the first derivative of -7*n**3/3 - 5*n**2/2 - 3*n - 1207. Determine u(-2). -21 Let m(q) = -q**2 + 13*q + 289. Let i(s) = -s + 91. Let a(z) = 3*i(z) - m(z). Determine a(17). 1 Let s be 6/27 - (3 + 75/(-27)). Suppose -k = -n - s*k, -10 = -2*n - 3*k. Let r(z) = -11*z**n + 2*z + 7*z**2 + 4 + z - z. Calculate r(3). -26 Let l(w) = -5*w + 92. Suppose 368*h + 257*h = 8125. Give l(h). 27 Let k = -61 + 56. Suppose 2*g + 3*u = 8, 21 = 4*g + 4*u + 5. Let c(s) = 6 + 2*s**3 + s**3 - 5*s**2 + s - g*s**3. What is c(k)? 1 Let d(p) = p**2 - 5*p + 4. Let m(f) = 42*f**2 + 43*f**2 + 21 - 80*f**2 - 24*f. Let l(q) = 11*d(q) - 2*m(q). Give l(3). -10 Suppose 35*u + 615 = 50*u. Suppose -121 = 10*d - u. Let t(z) = 2*z + 4. Determine t(d). -12 Let c(f) = f**3 - 9*f**2 + 43*f. Let k(d) = 2*d**3 - 16*d**2 + 90*d - 3. Let u(i) = -13*c(i) + 6*k(i). Calculate u(20). 2 Suppose 2*d + 4 = 3*f, -10 + 8 = d. Let x(y) = 3*y**2 + 1. Let u be x(-1). Suppose f = -u*q + q. Let p(s) = -s**3 - s - 15. Give p(q). -15 Let k(w) = -w + 1. Let f(h) = h**3 + 21*h**2 + 4. Let r be f(-21). Suppose r*p + 2*v - 180 = v, 3*v = -5*p + 225. Suppose 5*a - 14*a + p = 0. Calculate k(a). -4 Let j(w) = -w**3 + 4*w**2 + 5*w + 1. Let f = 37 + -47. Let g(k) = -k**3 - 9*k**2 + 9*k - 8. Let a be g(f). Let b be 27/6 + a/4. Give j(b). 1 Let j(h) = -27*h - 492. Let i be -19*(1 + 0) - 1/(-1). Calculate j(i). -6 Let a = 1255/2 - 627. Let w(c) be the first derivative of -11 - a*c**2 + 0*c. Give w(2). -2 Let l(t) = -4*t + 2. Suppose 5*h = 5*o + 2*h + 12, 0 = -4*o - 3*h + 12. Suppose 2*m + 7*m = o. Suppose -d - 3*n - 13 = m, -5*n - 7 = -d - 4*n. Give l(d). -6 Let r(z) be the third derivative of z**6/120 + z**5/15 - z**4/3 - 3*z**3 - 883*z**2 - 2. Determine r(-5). -3 Let i(r) = -r**2 - 6*r**3 + 467456*r + 4*r**3 + r**3 - 467453*r - 9. Calculate i(-4). 27 Let v(k) = -k + 9. Suppose -4*p + 8 = 0, -10*a + 4*p - 5 = -13*a. Let t = a + -7. What is v(t)? 17 Let b(w) be the third derivative of w**5/60 - w**4/6 - 5*w**3/6 + 12*w**2 + 1. Calculate b(0). -5 Let h(l) be the third derivative of -l**9/7560 - l**7/5040 - l**6/720 - 43*l**5/60 - 16*l**2. Let m(p) be the third derivative of h(p). Determine m(-1). 8 Let p(q) = 3*q**3 + q**2 - 7*q - 20. Let n(i) = -i**3 + 2*i + 7. Let a(u) = -8*n(u) - 3*p(u). Let b(w) = w**3 + 2*w**2 - 6*w - 15. Let t be b(-2). What is a(t)? -11 Let l(r) = r**3 + 7*r**2 + r - 2. Let n be l(-3). Let y(k) = -3 - 35*k + 2 + n*k. Let b(g) = -g**3 + 10*g**2 + 2. Let j be b(10). Give y(j). -9 Let o(n) = n**2 + 16*n. Let s(g) = g**3 + 7*g**2 + 3*g + 6. Suppose -38*u = -48*u - 70. Let c be s(u). Determine o(c). -15 Let y be (-2*15)/(((-18)/4)/(-3)). Let g = -18 - y. Suppose 3*d + g*d = 0. Let b(q) = -q**2 - q - 2. What is b(d)? -2 Let k(q) = -q**3 + 8*q**2 + 23*q - 1. Let i(c) = -395*c + 2380. Let w be i(6). Determine k(w). 29 Let l(v) = -v**3 - 14*v**2 - 14*v + 18. Let g be l(-13). Suppose -4 = k - 31. Let t = g - k. Let s(o) = -o + 5. What is s(t)? 1 Let y(d) = 3*d + 29. Let r be y(-10). Let p(a) = 17*a**2 - 9*a - 8. Let q(s) = 19*s**2 - 6*s - 5. Let f(m) = -2*p(m) + 3*q(m). Give f(r). 24 Let f(y) = y**3 - 8*y**2 + 9*y - 5. Let u(r) = -4*r**2 - 23*r + 13. Let g = -2
{ "pile_set_name": "DM Mathematics" }
y = 3*a. Determine a*n(v) + 3*o(v). -2*v**3 + v + 2 Let c(y) = 3*y**2 - 4*y - 3. Let x(a) = -10*a**2 + 13*a + 10. Calculate -7*c(n) - 2*x(n). -n**2 + 2*n + 1 Let p(d) = 1. Let g(u) = -12*u + 1. Determine -g(c) + 3*p(c). 12*c + 2 Let t(w) = -2*w**2 + 20*w + 14. Let k(q) = -q**2 + 7*q + 5. What is -17*k(h) + 6*t(h)? 5*h**2 + h - 1 Let v(l) = -4*l + 4. Let c(n) = 2*n - 2. Determine -7*c(t) - 3*v(t). -2*t + 2 Let g(t) = -3*t**2 - 2*t + 1. Let r(k) = k - 1. Let l(w) = g(w) + 3*r(w). Let c = -13 - -12. Let n(p) = p**2. Calculate c*l(o) - 5*n(o). -2*o**2 - o + 2 Let b(m) = -2*m + 1. Let g = 7 + 3. Suppose -3*h = 3*u - 18, -g = 2*u - 7*u. Let n(t) = 5*t - h*t + 0*t. Give -b(j) - 3*n(j). -j - 1 Let i(s) = 9*s + 60. Let m(f) = -14*f - 90. Calculate -8*i(o) - 5*m(o). -2*o - 30 Let t(f) = -4*f**3 - 3*f**2 - 3*f. Let z(x) = -13*x**3 - 8*x**2 - 8*x. What is -8*t(j) + 3*z(j)? -7*j**3 Let r(o) = 6*o**3 + 3*o. Suppose 4*n = -3*d + 10, 2*d - 4*d - 4*n = -12. Let a(q) = -6*q**3 - 2*q. What is d*r(s) - 3*a(s)? 6*s**3 Suppose -2*y = -t - 0*t + 9, 0 = -t + y + 6. Let l(c) = -2*c**3 + 11*c**2 + 7*c. Let v(x) = 3*x + 2*x**2 - x**2 + 4*x**2 - x**3. What is t*l(h) - 7*v(h)? h**3 - 2*h**2 Let x(v) = 4*v**3 + v - 14. Let h(k) = -9*k**3 - 2*k + 27. Calculate -3*h(l) - 7*x(l). -l**3 - l + 17 Let o(q) = -29*q - 9. Let h(y) = 44*y + 13. Give 5*h(l) + 7*o(l). 17*l + 2 Let o(v) = -3*v**2 + 2*v + 9. Let z(m) be the second derivative of 0 - 3*m - 13/2*m**2 - 1/2*m**3 + 1/3*m**4. Calculate 7*o(d) + 5*z(d). -d**2 - d - 2 Let k(a) = -a - 3. Suppose 0 = j - 2 - 0. Let u(s) be the third derivative of 0 - 2*s**j + 0*s - 1/6*s**3. What is -k(t) + 4*u(t)? t - 1 Let l(h) = -27*h + 1. Let x(a) = 81*a - 2. Determine 8*l(f) + 3*x(f). 27*f + 2 Let h(z) be the first derivative of -z**5/120 - z**3 + 4. Let u(k) be the third derivative of h(k). Let d = 6 - 8. Let s(n) = 1. Determine d*u(w) + s(w). 2*w + 1 Let j(l) = -2*l**3 - 3*l + 12. Let m(s) = 2*s**3 + 2*s - 11. What is 3*j(i) + 4*m(i)? 2*i**3 - i - 8 Let r(w) = -2*w**2 + 4*w - 7. Let b(z) = z - 6. Let m be b(0). Let g(q) = 188*q + 7 - 193*q - 2 + 3 + 2*q**2. Calculate m*r(k) - 5*g(k). 2*k**2 + k + 2 Let s(r) = 8*r**3 - 5*r**2 + 5*r. Let y(x) = -7*x**3 + 4*x**2 - 4*x. Suppose -3*j = 4*z + 23, 3*z - 5*j = -9 - 1. Calculate z*y(g) - 4*s(g). 3*g**3 Let q(g) = -g**2 - 3. Let v(r) = -r**2 - 4. What is -7*q(x) + 5*v(x)? 2*x**2 + 1 Let r(q) = -q. Let v(c) = 2*c + 3. Calculate 4*r(u) + v(u). -2*u + 3 Let f(r) = -3*r**3 + 2*r. Let k be 29 + 3/(-3) - 1. Let g(d) = 39*d**3 - 27*d. Calculate k*f(w) + 2*g(w). -3*w**3 Let p(o) be the third derivative of -o**4/6 - o**3/3 + o**2. Let r(a) = -3*a + 4 + 0 + 5*a + 5*a. Calculate 5*p(f) + 3*r(f). f + 2 Let f be 2 + (-1 - -1)*1. Let l(k) = k**2 - 4*k. Let i(q) = -3*q + 0*q + 0*q + 2*q. Determine f*i(c) - l(c). -c**2 + 2*c Let f(o) = -o**2 - 3*o. Let v(x) = 15*x**2 + 27*x. Let j = 47 - 25. Let m(s) = 4*s**2 + 7*s. Let q(g) = j*m(g) - 6*v(g). Give -8*f(k) + 3*q(k). 2*k**2 Let n(i) = -i + 7. Let y be n(-13). Let f(t) = -2 - t - 17*t**2 + 2*t + y*t**2. Let q(j) = -j**2. Calculate f(m) + 4*q(m). -m**2 + m - 2 Let j(p) = -p**3 - 2*p**2 + 5*p. Let z be j(-5). Suppose 4*k + k = z. Let x(m) = 16*m**2 + 16. Let w(c) = 5*c**2 + 5. Give k*w(q) - 3*x(q). 2*q**2 + 2 Let k(h) = -2*h**2 + 5*h - 4. Let r(s) = -s**2 + 4*s + s**2 - 5 - 2*s**2 + 2*s. Give -4*k(v) + 3*r(v). 2*v**2 - 2*v + 1 Let q(i) = -4 + 18*i - 3 + 11 - i. Let c(b) = -4*b - 1. Calculate 26*c(y) + 6*q(y). -2*y - 2 Let o(i) = -6*i - 21. Let r(w) = w + 4. Let j = 1 + -7. Let t be j*((-14)/(-6) + -2). Determine t*o(x) - 11*r(x). x - 2 Let o(b) = b + 1. Let a(h) = -2*h - 10. Let y(k) = -a(k) - 5*o(k). Let x(p) = p**2 + p - 3. Let v be x(3). Let l(j) = -7*j + 11. What is v*y(g) - 4*l(g)? g + 1 Let i(h) = 2 - 9*h + 3 + h. Let k = 7 + -3. Suppose 5*a = k*n + 39, -a = -3*n - 3*a - 35. Let t(s) = 15*s - 9. Give n*i(x) - 6*t(x). -2*x - 1 Suppose 0*v - 6 = -3*h + 3*v, -2*v = -4*h + 12. Let d(m) = 3*m**3 + 2*m**2 - 2*m. Let y(x) = -13*x**3 - 9*x**2 + 9*x. Calculate h*y(o) + 18*d(o). 2*o**3 Let g be (-56)/(-10) - 6/10. Let b(u) = u**2 - 7*u + 7. Let a(f) = -f**2 + 6*f - 6. Determine g*a(j) + 4*b(j). -j**2 + 2*j - 2 Suppose -12 = 3*z - 0. Let s = z + -3. Let f(g) = -g**3 - 6*g**2 + 6. Let d(b) = b**3 + 7*b**2 - 7. Let w(q) = 2*q + 6. Let c be w(-6). Give c*d(v) + s*f(v). v**3 Let w(j) = j - 2*j + 3 + 2*j. Let i = 3 + 0. Let n(g) = 1. Give i*n(k) - w(k). -k Let f(t) = -10*t + 19*t - 13*t - 11. Let g(v) = -2*v - 5. Determine 3*f(x) - 7*g(x). 2*x + 2 Let y(b) = -24*b. Let i(c) = -8*c. Determine 7*i(q) - 2*y(q). -8*q Let f(r) = 3 + 5*r - 3*r - 4. Let j(g) = 2*g - 2. Calculate -7*f(u) + 6*j(u). -2*u - 5 Let g(c) = 7*c**3 - 4*c**2 + 4. Let u(s) = -15*s**3 + 9*s**2 - 9. Let h = 143 - 139. What is h*u(p) + 9*g(p)? 3*p**3 Let k(l) = l + 21. Let m(y) = -4*y - 85. Give 9*k(h) + 2*m(h). h + 19 Let p(t) = -3*t**3 - 2*t**2 + 3*t - 2. Let n(f) = f**3 + f**2 - f. Suppose -4*c + 5 = -9*c. Give c*p(y) - 2*n(y). y**3 - y + 2 Let u(d) = d - 11. Let k(g) = -1. Calculate 5*k(v) - u(v). -v + 6 Let z(h) = h**3 - h**2 - h + 1. Let y(p) = 4*p**3 + p**2 + p - 1. Determine -2*y(g) - 2*z(g). -10*g**3 Let v(z) = z. Let g(u) = u**2 - 3*u - 1. Let t be g(3). Let a(i) = -5*i + 6*i - 3*i - i**2 - 1 + 0*i. Calculate t*a(f) - 2*v(f). f**2 + 1 Let l(g) = g**2 - g + 1. Let v(i) = 13*i**2 - 11*i - 1. Let b(p) = 6*l(p) - v(p). Let d(z) = 4*z**2 - 3*z - 4. Calculate 3*b(u) + 5*d(u). -u**2 + 1 Let j(i) = -i**2 - 4*i. Let w(k) be the third derivative of 0*k - 1/60*k**5 - 2*k**2 + 0 - 7/24*k**4 + 0*k**3. Calculate -5*j(b) + 3*w(b). 2*b**2 - b Let f(h) = -h**2 - h. Let y = 58 - 59. Let p(t) = -t**3 + t**2 - t. What is y*f(j) + p(j)? -j**3 + 2*j**2 Let v(m) = -8*m**3 - 6*m. Let j(g) = -4*g + 25. Let h be j(5). Let d(c) = -9*c**3 - 7*c. Give h*d(f) - 6*v(f). 3*f**3 + f Let g(a) = -40*a. Let q(i) = -20*i. Determine -6*g(j) + 11*q(j). 20*j Let m(x) = x + 8. Let b(l) = l + 1. What is -3*b(j) + m(j)? -2*j + 5 Let z(t) = -t**2 + t + 1. Let w(s) = 8*s**2 - 5*s - 1. Determine w(b) + 3*z(b). 5*b**2 - 2*b + 2 Let f(s) = -3*s**2 - 2*s - 2. Let n(c) = 3*c**2 + 3*c + 3. Suppose 1 = -3*i - 5. What is i*n(h) - 3*f(h)? 3*h**2 Let h(q) = 4*q**2. Let s(a) = -a**2. Let y be -2 - (1 + 0)*9. Let v = y + 12. What is v*h(n) + 6*s(n)? -2*n**2 Let d(k) be the first derivative of k**2/2 - k - 20. Let p(v) = -9*v + 8. What is -24*d(j) - 3*p(j)? 3*j Let m(l) = 2*l + 7. Let f(h) = -6*h + 4 + 10*h - 3*h. Determine 7*f(a) - 4*m(a). -a Let f = -30 - -28. Let n(g) = 7*g + 3. Suppose -3*p = 2*p + 3*w + 16, -w = -3*p - 18. Let j(r) = -3*r - 1. Calculate f*n(y) + p*j(y). y - 1 Let h(a) = a**2 - 6*a - 7. Let v be (-4)/(-6)*(3 - 0). Let t(o) be the third derivative of o**4/24 + o**3/6 + 4*o**2. Determine v*h(u) + 14*t(u). 2*u**2 + 2*u Let f(y) = -120*y - 56. Let t(x) = 11*x + 5. What is -5*f(w) - 56*t(w)? -16*w Let n(o) be the third derivative of o**3/6 - o**2. Let b(z) = z - 5. Let s be (-4)/((-24)/(-15))*2. Determine s*n(d) - b(d). -d Let n(o) = -2*o - 1. Let r = 15 + -18. Let b(j) = -5*j - 3. What is r*b(m) + 8*n(m)? -m + 1 Let u(s) = -s**3 + s**2. Let d(j) = 8*j**2. Calculate d(y) - 5*u(y). 5*y**3 + 3*y**2 Suppose -4 = g - 0*g. Let s = 6 + g. Let t(l) = -8*l**3 + 2*l - 2*l - 2*l**2 + 2 + 9*l**3. Let q(b) = b**2 - b. Calculate s*q(z) + t(z). z**3 - 2*z + 2 Suppose -20 - 4 = -4*f. Let t(s) = 12*s**2 - s**2 + 5*s - 11*s + f - 3*s**2. Let r(x) = x**2 - x + 1. Let u = 0 - -1. What is u*t(m) - 6*r(m)? 2*m**2 Let z(i) = 20*i + 2. Let f(g) = -60*g - 5. What is -3*f(t) - 8*z(t)? 20*t - 1 Let b(q) = 2*q + 2. Let y be b(-2). Let j(v) = -v - 1. Let n = 26 + -12. Let r(a) = -6*a - 7. What is n*j(z) + y*r(z)? -2*z Let g(w) = w - 4. Let i(z) = 1. Let n(r) = g(r) + 4*i(r). Let p(v) = 3*v - 2. Calculate 4*n(h) - p(h). h + 2 Let z(r) = r**3 - 3*r**2 + 5*r + 5. Let d(y) = 2 + 8*y - y**2 - 16*y + 10*y. Determine 5*d(m) - 2*z(m). -2*m**3 + m**2 Let h(d) = -4*d**3 - 4*d**2 + 5*d - 10. Let b(k) = -4*k**3 - 4*k**2 + 4*k - 9. Let m(t) = 5*b(t) - 4*h(t). Let z(c) = -c**3 - c**2 - 1. Give m(j) - 5*z(j). j**3 + j**2 Let n be (-3 + 4)/(-3 - -2). Let f(i) = -i. Let k(t) = 6*t. Calculate n*k(q) - 4*f(q). -2*q Let w(p) = -8*p - 11. Let u(c) = -9*c - 12. Let i(j) = 3*u(j) - 4*w(j). Le
{ "pile_set_name": "DM Mathematics" }
-8. Solve -3*w - 12 = -g*w for w. -4 Let j = -12 + 16. Let n be j + 12/(-6 - -2). Solve 5*f + 6 - n = 0 for f. -1 Let v(l) be the second derivative of -l**4/12 + 4*l**3/3 - 7*l**2/2 - 3*l. Let q be v(6). Solve 5*o + q = -5 for o. -2 Let z(i) be the second derivative of i**3/3 - 3*i**2/2 + i. Let m be z(2). Solve 3 = -2*n - m for n. -2 Let t(s) be the first derivative of -s**3/3 + 9*s**2 - 31*s - 3. Let o be t(14). Solve -3*x = -8*x - o for x. -5 Let b(o) = o**3 + 11*o**2 - 13*o - 3. Let q be b(-12). Suppose -7*h + q*h = 40. Solve -4*u = u - h for u. 4 Let l be (1 + 0)*(-5)/(-20)*0. Solve -5*h - 5 = -l for h. -1 Let w = 122 - 122. Solve w = -8*c + 3*c - 25 for c. -5 Suppose 2*a - 21 = 5*h, -11 + 2 = -5*a - 2*h. Suppose 2*q + a*l - 6 = -q, 4*q = l + 13. Let s = 3 - q. Solve -f - 3 = -s*f for f. -3 Suppose -h - 8 - 1 = -q, 4*h = -4. Solve 0 = 5*j - 2 - q for j. 2 Suppose -2*q = 4*t - 8, 3*q + 2*t - 5*t = 3. Solve -q*c = -c - 1 for c. 1 Suppose l - 5 + 3 = 0. Let g(j) = l*j**3 + 2*j**2 - 2*j - j**3 + 3*j. Let i be g(-1). Solve i = -c - 2*c + 9 for c. 3 Let z be 4/7 - 144/(-42). Suppose -z*v = v. Solve v = -2*q - 2*q for q. 0 Let v be 28/4 - (-4)/(-1). Solve -4 = -v*i + 11 for i. 5 Let s = -28 + 48. Solve -3*i - i = -s for i. 5 Let a(m) = m**3 - 5*m**2 - 5*m - 6. Let l be 4*(1 + 1/2). Let x be a(l). Solve 3*d + 0*d = x for d. 0 Suppose -4*a + 16 = 0, 0*x + x + 4*a = 59. Suppose -s + x = 4*o, 4*s - 9 = -2*o + s. Let u = o - 7. Solve 4*c = -c + u for c. 1 Let f(j) be the first derivative of -j**2/2 + 2*j - 1. Let c be f(0). Solve 2*i + c = 6 for i. 2 Suppose o - 5*c + 4 - 26 = 0, o + 3*c + 10 = 0. Solve o*m = m + 3 for m. 3 Suppose -11 = 4*m + 13. Let u be 6*((-34)/m - 3). Suppose -u = 5*g - 116. Solve 3*o + g = -o for o. -5 Let f(x) = -4*x + 3. Let l be f(0). Solve -l*o + 20 = 11 for o. 3 Suppose -y = 2*y - 4*y. Let s be ((-18)/4)/(3/(-4)). Solve 0*j + 3*j + s = y for j. -2 Let p(m) = m**3 + 1. Let t = 0 - -1. Let i be p(t). Solve i*c = 3*c for c. 0 Suppose -3*g + 14 = -19. Solve -5*f + g = -14 for f. 5 Suppose -19 = -3*n + o, -4*o + 7 = 2*n + o. Suppose -12 = b - 11. Let g be b + (-4)/4 - -6. Solve l - n = g*l for l. -2 Suppose 0*k = -2*k + 2*b, 0 = k + b - 6. Suppose 4 = -4*z, -k*z + 5 = 2*v + 2*v. Solve 1 + v = -u for u. -3 Let h(z) = z**3 + 19*z**2 - z - 19. Let t be h(-19). Solve -2*l + l = t for l. 0 Let y = 3 - -2. Suppose 0 = -3*n - 5*g + 23, 11 = -n + y*g - 2*g. Let z be n/1*-1 + 6. Solve -z*i - 20 = -i for i. -5 Let f = 7 - 7. Suppose -4*u - u = f. Suppose -l + 5*l - 8 = u. Solve -l = -3*i + 4 for i. 2 Suppose 2*g - 5*k + 3 - 14 = 0, -5*k + 4 = 3*g. Suppose -4 = -g*l + 5. Suppose -4*h + 45 = 5*p, -4*h - 3*p + 10 = -5*h. Solve h - 2 = l*w for w. 1 Let t(b) = -b**3 + 13*b**2 + 2. Let p be t(13). Suppose p*h - 4*h - 5 = -5*l, -2*l - 14 = -4*h. Solve -2 + 11 = l*q for q. 3 Let x be 6/(-10) + 309/15. Suppose -4*s - x = s. Let v = 2 - s. Solve 0 = -3*g + v*g - 15 for g. 5 Let d be (2/(-4))/(5/(-70)). Let b = d - 2. Solve 16 = -b*y - 9 for y. -5 Let p(n) = 7*n**2 - 15*n - 30. Let g(d) = -4*d**2 + 7*d + 15. Let b(h) = -5*g(h) - 3*p(h). Let z be b(11). Solve 0 = -0*t - z*t for t. 0 Let k = 28 - 25. Let n be 0 + (3 - (k + -3)). Solve 5 = 2*q + n for q. 1 Let j be ((-1)/2)/((-1)/12). Suppose -2*g = 3*q - j, g - q - q - 3 = 0. Solve 0 - 9 = g*y for y. -3 Let s = -4 + 6. Let r = -5 - -6. Suppose h = s + r. Solve -2*m + 1 - h = 0 for m. -1 Suppose -5*d + 2*q = -0*d - 32, 3*q = -3. Solve 0 = -v + d*v for v. 0 Let v be (-54)/12*(-2)/3. Solve -4*b - 1 = v for b. -1 Let d be ((-120)/35 + 3)/((-1)/7). Solve -16 = -d*v - v for v. 4 Let s(w) = 1 - 6*w - 1 + 4*w - 5. Let g be s(-5). Solve 4 = g*u + 9 for u. -1 Let i = 7 + -4. Let y = -1 + i. Suppose -2 - 4 = -y*w. Solve 2 = -2*x + w*x for x. 2 Let l be 3/(2/(12/9)). Solve -6 = -l*o + 2 for o. 4 Let y = 5 + -3. Suppose -y*u + 3*k - 4*k + 16 = 0, 42 = 5*u + 2*k. Suppose -3*a + 4*p - 7 = 0, 3*a + 2*p - 21 + 4 = 0. Solve 5 = a*w - u for w. 5 Let s(y) = y + 6. Let h be s(-6). Suppose h = -5*v + l + 15, 14 = 5*v + 4*l - 1. Solve -w - 6 = -v*w for w. 3 Let t be 0 + 1 + (-1 - -4*1). Solve 2 = 3*l - t*l for l. -2 Let s be (-1 - (-17)/3)*-3. Let c = 23 + s. Solve 1 = -2*f + c for f. 4 Suppose -4*b - m + 2 = -3*m, -3*m + 15 = 0. Let x(a) = a**3 + 2*a**2 - 4*a - 1. Let v be x(-3). Let s = v + -2. Solve t - 1 - b = s for t. 4 Let o(d) = -14*d**3 + 23*d**2 + 38*d - 17. Let z(p) = -5*p**3 + 8*p**2 + 13*p - 6. Let y(l) = -4*o(l) + 11*z(l). Let i be y(6). Solve -5*h + h = i for h. -5 Let l be (3 + -3)*(-1 - -2). Suppose -2*b - b = l. Solve b = 2*g + 3 + 1 for g. -2 Let a(o) = -o**3 + 3*o**2 - 2. Let c be a(2). Solve g - c*g = 0 for g. 0 Suppose 0 = 34*c - 37*c + 18. Solve 5*a - 2*a = c for a. 2 Let a be -1 - (1*-7 + 2). Suppose 22 = 5*l - 78. Suppose -l = -q - a*q. Solve 14 = -2*c + q for c. -5 Suppose 2*h - 3*y - 5 = 3*h, 0 = 3*h - 5*y - 27. Solve -h = -q - 1 for q. 3 Let c be (-2)/(-6) - (-66)/18. Suppose 2*l + c = 3*l. Solve l*o - o = 6 for o. 2 Let u be (-5)/2*2*(-24)/20. Solve -u*z = -3*z + 6 for z. -2 Suppose -2 - 2 = 2*q. Let x(z) = -3*z - 3. Let g be x(-2). Let j be -1 - (g + q)*-1. Solve j*i = 3*i + 15 for i. -5 Let y be (-18)/(-45)*(7 - 2). Solve -y*p - 2*p = 4 for p. -1 Let r be (10/(-15)*-1)/(1/6). Solve -r*o - 4 = -0*o for o. -1 Let o be 60/100 + (-26)/20*-8. Solve o + 9 = -4*w for w. -5 Suppose -2*t + 3*n - 15 = 0, 3*t - 3*n + 8 = -7. Solve 20 = -t*j - 4*j for j. -5 Suppose 0 = 11*p + 8 - 41. Solve p*m - 8 = 7 for m. 5 Let j(i) = -i**3 - 7*i**2 + 8*i + 6. Let w be j(-8). Let p(f) = f - 4. Let v be p(w). Solve 8 + v = 2*m for m. 5 Let w be -1 - -6 - (-6)/(-2). Let s be 0 + w + 4 + 0. Suppose 0 = -3*i + 2*n + 22, -3*i - 4*n - s = 2. Solve i = 3*y + y for y. 1 Suppose 5 = -2*z + 3*z. Let y(d) = -d**3 - 6*d**2 - 6*d - 3. Let j be y(-5). Let m = 19 + j. Solve z*o + 6 = m for o. 3 Let s(c) = -2 + 3*c + c**2 - 3*c. Let o be s(2). Suppose 5*x = 12 - o. Solve -4 = x*i - 2 for i. -1 Suppose 0 = g - 5*o - 18, 2*o - 6 = 2*g - 34. Solve 5*m - 2 = g for m. 3 Let n be (0/(-2 + 3))/1. Let w(t) = 6*t**2. Let o(c) = -5*c**2 - c. Let v(p) = -7*o(p) - 6*w(p). Let u be v(6). Solve -x + u*x - 5 = n for x. 1 Suppose 2*f + 1 = -4*i + 35, -3*i + f = -38. Solve -14 = -5*w + i for w. 5 Let s = -4 - -6. Solve -6*k + s*k + 12 = 0 for k. 3 Let d = -14 + 16. Suppose -c + 12 = d*c. Solve n - 6 + c = 0 for n. 2 Suppose 2*q - 35 + 31 = 0. Let t(b) = -b**2 + 10*b - 7. Let l be t(9). Let d be 0 + (1 - l)*-3. Solve -q*n = -3 - d for n. 3 Suppose -2*x + 6 = 0, g + 8 = -g + 4*x. Solve 0*l = g*l + 2 for l. -1 Let h = -2 - -15. Solve 5 - h = -2*q for q. 4 Let c be 0 + 5 + 1 + -4. Let p = 4 + c. Solve p + 19 = -5*s for s. -5 Suppose -12 - 3 = -2*u + 5*q, 5*u - 3*q = 28. Suppose 4*m + 16 = -4*g, 2*m = u*g - 10 + 2. Solve 2*l + g*l = 0 for l. 0 Suppose -4*a - 3*p = -100, -4*p + 62 = 4*a - 34. Let b = a + -18. Suppose x = 6*x - 4*x. Solve b = -2*r - x*r for r. -5 Let x = -14 - -20. Suppose 6*b = 3*b + x. Suppose 13 = -b*p + 6*p - f, 0 = f + 5. Solve -2*s + p + 2 = 0 for s. 2 Let k = 168 - 165. Solve -k*t + t + 2 = 0 for t. 1 Let i = -8 - -10. Solve -16 = 2*d + i*d for d. -4 Let s(b) = b**2 - 5*b + 3. Let m be s(5). Suppose -8 = -m*c - 2. Solve 2 + 0 = c*j for j. 1 Suppose 2*m = -0*m - 3*x - 23, 0 = -2*x - 6. Let p be ((-4)/m)/(8/28). Solve 0 = -2*o + p for o. 1 Let b be (3/(-2))/((-3)/8). Suppose 0*g - b = -t + 4*g, -1 = -t + g. Suppose t = -3*p + 2 + 13. Solve 4*a = -a - p for a. -1 Let k(b) = -3*b - 6. Let w be k(-4). Let q = 13 - w. Let f = -2 + q. Solve 9 + 16 = -f*y for y. -5 Let h = 26 + -17. Solve 0 = 3*c - 0*c + h for c. -3 Let o be -4 + 13 - (0 + 2 + -2). Solve 4*p - 3 - o = 0 for p. 3 Let l be 103/7 - (-6)/21. Suppose 10*o - l = 5*o. Solve 0 = -o*t - 3 for t. -1 Let k = 64 + -60. Solve 2 = -2*c + k*c for c. 1 Suppose -2*x - 5 = -13. Suppose n = -5*s + 34, 6 = -5*s + x*n + 20. Let y be (-4)/s + (-85)/(-15). Solve 0*l = y*l + 15 for l. -3 Let r(j) = j**2 + 9*j - 4. Suppose -w + 50 = -6*w. Let h be r(w). Let y be 3/h*12/3. Solve 5 = 3*i + y*i for i. 1 Suppose 3*h = 8*h - 10. Solve h*o - 2 = -0*o for o. 1 Let p(d) = 2*d + 2. Let x be p(0). Solve 0 = -0*l + x*l + 8 for l. -4 Let w(s) = -3*s**3 - s - 1. Let b be w(-1). Suppose -5*y = -0*f + 4*f - 1
{ "pile_set_name": "DM Mathematics" }
common multiple of h(l) and 2. 2 Let i(r) = -2*r**2 + 30*r + 2. Let n = -35 - -50. What is the least common multiple of 56 and i(n)? 56 Let q be 1 + 2036/679 + -4. Let h = 12905/2716 + q. Calculate the common denominator of -87/40 and h. 40 Let z be ((-8)/6)/(5/90). Let j = -36 - z. What is the common denominator of (4/j)/((-2)/14) and 31/10? 30 Let j = 136 - 120. What is the lowest common multiple of 328 and j? 656 Suppose 11*j - 5*j - 108 = 0. Let f(u) = -u**3 - 2*u**2 + 6*u + 10. Suppose 0 = -3*p - 2*p - 20. Calculate the least common multiple of j and f(p). 18 Let u = -9843 - -206788/21. Calculate the common denominator of ((-2)/28)/((-24)/(-992)) and u. 21 Let z be 3 - (204/26 - -2). Let p = 2057/234 + z. Let i = -1731 - -31309/18. Calculate the common denominator of p and i. 18 Suppose 2*t + 5*w = -12, -t - 24 = 3*t + 2*w. Let c(f) = -f**3 - 5*f**2 + 7*f + 16. Calculate the least common multiple of c(t) and 14. 70 Suppose -5*a = 4*f + 152 - 49, -2*a = -3*f - 60. What is the common denominator of f and 24/131? 131 Calculate the common denominator of (-3)/2*4/(-168)*55 and -97/308. 308 Find the common denominator of -63/184 and 1001/(-220) - -9 - (-9)/15. 920 Suppose 0 = 9*f + 170 + 964. Find the common denominator of (-2)/8*(-1920)/f and 27/8. 168 Suppose 2146*x = -3*k + 2141*x + 54, 0 = -2*k - 3*x + 35. Let o = 33 - 23. What is the least common multiple of o and k? 130 Let r = -736489/7335 - -11/1467. Let a = 8831/90 + r. Find the common denominator of -103/14 and a. 126 Let c(q) = q**3 + 7*q**2 - 10*q - 2. Let k be c(9). Let f = k + -282. Find the common denominator of -20/11 and f/(-20) + (-12)/30. 22 Suppose 18 - 7 = -s. Let a = 23 + s. Calculate the lowest common multiple of a and 18. 36 Let c be 2/(-9) + (-40310)/45. What is the least common multiple of 12 and c/(-91) - (-4)/26? 60 Suppose -12606 = -5*c + 6724. Let k = c + -6117. Let v = k - -22579/10. Find the common denominator of v and -29/11. 110 What is the lowest common multiple of (-4)/14 + (-596)/(-28) and 42? 42 Find the common denominator of (5/(-48))/((-6)/(-270)) and (6/(-72))/((-12)/(-279)). 16 Find the common denominator of 125/6 and -6*(-2)/(-21) + (-418)/126. 18 Let o = 76585/12 + -6378. Find the common denominator of o and -21/53. 636 Let n = -8315596467841695748410/278401199 + 29869111547331. Let m = n + -6/45173. Let a = -499245/86282 - m. What is the common denominator of -54/11 and a? 154 Suppose 2*k = k - 2. Let b = 3 - k. What is the least common multiple of (-204)/(-153)*(-15)/(-5) and b? 20 Let x(f) = f**3 - 5*f**2 - 82. What is the least common multiple of x(7) and 378? 3024 Suppose 2*i + 0 = 6. Suppose -29 = -2*r - 2*l - i, -4*l + 67 = 5*r. Calculate the least common multiple of 6 and r. 30 Let f be (-1510)/(-4) + (-9)/(-6). Let b = f + -974. Find the common denominator of 1*3 - b/(-100) and 113/18. 180 Suppose 3*w - 29 = -5*n, 4*w - 50*n - 32 = -55*n. Calculate the least common multiple of w and 259. 777 Let w(v) be the third derivative of v**5/30 + 5*v**4/12 + 2*v**3/3 + 3*v**2. Let r be w(-8). What is the lowest common multiple of 4 and (3/(-6))/((-1)/r)? 52 What is the least common multiple of (3/(-4))/((-11)/132) and 21? 63 Let f = -582 - -612. Calculate the least common multiple of f and 45. 90 Let h(c) = -193*c + 260. Let k = -10 - -16. What is the least common multiple of k and h(1)? 402 Let y(v) = 4*v + 34. Suppose 0*h - 16 = 2*h. What is the smallest common multiple of y(h) and 18? 18 Let x = -3 - -9. Suppose 9*t + 18 = x*t. Let a = t + 12. What is the least common multiple of a and 3? 6 Let j be 52428/(-40) - (1 + 4). Let h be (1 - -1)/(6/3951). Let c = h + j. What is the common denominator of c and 87/8? 40 Let t = -1193168/1323 + 48403/54. Let v = -17/49 - t. Find the common denominator of 75/4 and v. 12 Let d be 64/3 - 4/(-6). Calculate the common denominator of (d/(-18))/(-8 - -7) and 1184/320*2/(-2). 90 Let s(x) = 16*x + 51. What is the least common multiple of s(6) and 3? 147 What is the least common multiple of 310 and (11 + -5)*16/12? 1240 Suppose 3*p + 5*z - 2 = 7, 4*p = -3*z + 1. Let a be 1*((-6)/3 + p). Find the common denominator of 525/132 + (-1)/a and -7/8. 88 Let s(v) = 46*v + 21. Let k be s(-6). Suppose -x + 3*x = 78. What is the common denominator of x and (k/4)/(-3) - (8 - 6)? 4 Let q be -4 + 1 - 333/(-3). Suppose -4*t + 2*s = -q, -2*t - 2*s + 67 = t. Calculate the smallest common multiple of t and 10. 50 Let q be (1 - 3)/((-5)/570). Suppose -5*s + 2*s + q = 0. Calculate the least common multiple of s and 12. 228 What is the common denominator of ((-57)/(-24) - 2)/(25/(-60)) and -79/30? 30 What is the common denominator of ((-828)/180)/((-21)/10) and (-35)/54*(-7)/(-5)? 378 Let n = 12577/270 + -1012/27. Let t = -3101/8 + 1595/4. What is the common denominator of n and t? 40 Let j be 11 + -1 + (-2 - -2). What is the common denominator of (-98)/j + 10/25 and (-1)/2*28/6? 15 Let h = 151/44 - 59/22. Calculate the common denominator of h and 69/74. 148 Suppose -7*m + 6*m = -2. Calculate the least common multiple of -6*2/(4/(-3)) and m. 18 Let p(t) = 12*t**2 + 2. What is the lowest common multiple of p(1) and 602? 602 Suppose 0 = -9*b + 11*b - 8. Suppose -2*c = 1 - 3, -5*k + b*c + 136 = 0. Suppose -z + 0*z + k = 0. What is the least common multiple of 14 and z? 28 Let j = 2 - -2. Let b(n) = 15*n + 32. Let u be b(-6). Let a = u + 66. What is the smallest common multiple of a and j? 8 Let f(z) = -z**3 + 9*z**2 + 2*z - 6. Let t be f(9). Suppose -t*l + l = -44. Calculate the smallest common multiple of 12 and l. 12 Let y = 8309/34 - 4118/17. Find the common denominator of 43/119 and y. 238 Let t(s) = -s**3 + 10*s**2 + 13*s - 15. Let j be t(11). Let z = j + -3. Calculate the lowest common multiple of 9 and (-15)/(-2) + (-6)/z. 18 Let n(b) = b**2 + 10*b + 17. Let k be n(-7). Let v be (480/45)/(k/(-6)). Let t = 20 - v. Calculate the smallest common multiple of t and 5. 20 Let b be (-20)/15*6/(-4). Suppose -b*x - 32 = -120. Suppose -2*i + 0*i = -x. Calculate the smallest common multiple of i and 2. 22 Let x(j) = -4*j - 3. Let a(t) = 3*t + 2. Let h(r) = 5*a(r) + 4*x(r). Let u(w) = -w**2 - 22*w - 117. What is the smallest common multiple of u(-11) and h(-6)? 4 Let y be 1 + 3*-1*5. Let z be 636/48 - 3/(-4). Find the common denominator of ((-190)/z)/(y/(-49)) and -4/3. 6 Let z = 346439/42 + -8249. What is the common denominator of -51/70 and z? 210 Let h = -30467/189930 - -7/4870. What is the common denominator of h and -16/3? 195 Let s = 8747 + -52603/6. Suppose -4*t - 4778 = -2*t. Let l = 14269/6 + t. Calculate the common denominator of s and l. 6 Let y = -98093/154 - -4482/7. What is the common denominator of 97/102 and y? 1122 Suppose 5*f - 2 = -2*g, 5*f - 2*f + 4 = 4*g. Calculate the lowest common multiple of (120 - 6)/(2 - g - 0) and 16. 912 Let h = -184/3 - -9764/159. Let k be ((-1)/(-106))/((-3)/(-11631)). Let z = h - k. What is the common denominator of z and -65/6? 6 Calculate the least common multiple of (-6)/(-21) - ((-18048)/(-42))/(-8) and 18. 54 Let g(n) = 2*n**2 + 5*n - 1. Calculate the smallest common multiple of g(-4) and -2*(-5)/((-40)/(-8)). 22 Suppose i - 8 = -i - 2*j, -5*i + 2*j + 6 = 0. Find the common denominator of -71/8 and i/(64/52*-2). 16 Let l be 5 + (-5)/10*6. Suppose -l = -4*j + 2*u + 16, -5*j - 3*u = -39. Calculate the least common multiple of j and 5. 30 Suppose 502980 + 200505 = -15*s. Let z = s + 4971349/106. Find the common denominator of -25/11 and z. 1166 Let x = 192350 + -278013. Let b = -17989193/210 - x. Let l = b - 262/21. Calculate the common denominator of l and -75/4. 20 Let f be 2/(-8) - (-374)/1624. Let l = -1286/3451 - f. Calculate the common denominator of (-52)/208 - (-241)/(-12) and l. 51 Let o = 847 + -3407/4. Let m be 2/((4 + -3)/(-5)). Let i = -131/4 - m. What is the common denominator of o and i? 4 What is the least common multiple of 6 and 7910/45 - 10/(-45)? 528 Suppose 5*n = 6*n - 220. What is the lowest common multiple of 40/5 + (-1 - -3) and n? 220 Let m = 1161 - -972. Let x = -16993/8 + m. What is the common denominator of x and -14/11? 88 What is the least common multiple of (-1)/(635/(-3705) - (-2)/13) and 3? 57 Let i = -184/5 + 4831/130. Calculate the common denominator of 79/
{ "pile_set_name": "DM Mathematics" }
0.4. Let a = t + n. Round a to 4 dps. 0.0004 Let t = 274.43 - 273. Round t to one decimal place. 1.4 Suppose u - 2 = -1, 3*u = -2*p + 13. Suppose -20 = -p*r - 0*r. Let x be (-8399999)/(-2) - (-2)/r. What is x rounded to the nearest one million? 4000000 Let s(t) = -1208*t + 4. Let f be s(-12). Round f to the nearest one thousand. 15000 Suppose -2*y + 186 = -s, -526 = 4*s - 3*y + 203. What is s rounded to the nearest 100? -200 Let u = -19 + 40. Let t = 21.114 - u. What is t rounded to 2 decimal places? 0.11 Let x = -208 + 207.9839. Round x to 3 decimal places. -0.016 Let p = 737 - 743.995. Let y = -7 - p. What is y rounded to 2 dps? -0.01 Let u = 4.1 - -6.9. Let x = -50269777 + 50269766.0000014. Let n = u + x. Round n to 7 decimal places. 0.0000014 Let u = 0.35 - 0.4. Let l = 0.0499956 + u. What is l rounded to six decimal places? -0.000004 Suppose -2*b = -21591 + 6593. Suppose -2*x + j + 4982 = -0*x, -5*j + b = 3*x. Suppose 10407 = -3*m - x. Round m to the nearest one thousand. -4000 Suppose -3*s = -2*o - 0*s - 11260015, -5629980 = o + 4*s. What is o rounded to the nearest 1000000? -6000000 Suppose -18 = -d + 3*x, -3*d - x + 1 = -3. Suppose -117 - 108 = -d*g. Round g to the nearest ten. 80 Let u = -525173 + -584827. What is u rounded to the nearest 100000? -1100000 Let r(u) = u + 1588*u**2 + 2*u + 1080*u**2 - 3. Let s be (2 - 1) + -1 + -3. Let l be r(s). Round l to the nearest 10000. 20000 Let h = -1342.6 + 1191. Let n = 139 + h. What is n rounded to zero decimal places? -13 Let f(u) = -u**2 + 7*u + 3. Let j be f(7). Suppose 14399975 = j*s - 5*w - 0*w, -2*s - w = -9600005. Round s to the nearest 1000000. 5000000 Let w(t) = -9002*t + 2. Let j be w(1). What is j rounded to the nearest 10000? -10000 Let u = 5.4 - 5.466. Let f = u - -7.266. Let s = f - 5.76. Round s to 1 decimal place. 1.4 Let u = 10.8 + -10. Let f = -0.83 + u. What is f rounded to 2 decimal places? -0.03 Let s = -5 - -1.4. Round s to zero decimal places. -4 Let r = -107.2 + 10.2. Let m = -99.08 - r. Round m to 1 dp. -2.1 Let o = -4793171.92300148 + 4793172. Let q = -0.062 - 0.015. Let d = q + o. Round d to 7 dps. -0.0000015 Suppose 2*r - 2*i = -i + 239, -r = -3*i - 132. Let y = -41 + 69. Let m = r - y. What is m rounded to the nearest 10? 90 Let k = -46.00011 - -46. Round k to 5 decimal places. -0.00011 Let o = -0.0271 - -0.027. What is o rounded to 3 dps? 0 Let o = -138 + 138.0000147. Round o to six dps. 0.000015 Let l(j) = -242*j - 14. Let i be l(-12). What is i rounded to the nearest 100? 2900 Let y = -4.8 + 4. Let n = -0.79999956 - y. Round n to 7 decimal places. 0.0000004 Let c = -0.06 + 0.05999918. Round c to seven dps. -0.0000008 Let u = 0.11 - -0.04. Let s = u + -0.1500015. What is s rounded to six decimal places? -0.000002 Suppose 3 = o - 0. Suppose 4*c + 2*k = 74400, o*c + 8*k - 4*k = 55800. Suppose -c = -u - u. Round u to the nearest 1000. 9000 Let v = -0.5 - 10.5. Let s = 21 + v. Let z = s + -9.99999956. What is z rounded to 7 dps? 0.0000004 Let g(c) = -c**3 - 6*c**2 + 6*c - 1. Let l be (-6)/24 - 54/8. Let d be g(l). Let h(s) = -4028*s**3 + s**2 + s + 6. Let a be h(d). Round a to the nearest 100000. -900000 Let m = 0.743 - 0.138. Let j = -0.035 + m. Round j to one dp. 0.6 Suppose -3*h + q + 2*q = -2898, -4*h + q = -3876. Round h to the nearest one hundred. 1000 Let r = 7 - 4. Round r to the nearest ten. 0 Let a = -77 + 76.755. Round a to 2 dps. -0.25 Let b = 2.95 - 2.153. Let f = b + -0.76. Round f to 2 dps. 0.04 Let q = -0.206 + 1.476. What is q rounded to one decimal place? 1.3 Let g = 0.023 - -0.033. Round g to 2 dps. 0.06 Let j = -364.52 - -338. Let g = -0.033 - 25.967. Let q = j - g. Round q to one dp. -0.5 Let x = -114.000000394 + 114. What is x rounded to seven dps? -0.0000004 Let o(s) = -4*s + 1. Let f be o(-1). Suppose -6400005 = g - f*w, -31999995 = 5*g - 0*g + 5*w. Round g to the nearest 1000000. -6000000 Let s = -9.49 + 9.4899222. Round s to 5 decimal places. -0.00008 Let g be 6/(-10) + (-6556)/(-10). Suppose 0 = -5*x + 5*o - g, 3*x - 2*x + 119 = -3*o. Round x to the nearest ten. -130 Let s = 56 - 0. Let y = 25 + s. Let n = -80.99999902 + y. What is n rounded to seven decimal places? 0.000001 Let b(j) = 23603*j + 18339*j - 3783*j - 5630*j. Let d be b(2). Let l = 43058 - d. Round l to the nearest 10000. -20000 Let n = -0.01136 + 62.60136. Let t = -93 + 155. Let k = t - n. What is k rounded to 1 dp? -0.6 Let m = 0.02 + 0.68. Let w = m + 2.3. Let h = w + -3.00000002. Round h to 7 dps. 0 Let u(h) = h**3 - 16*h**2 + 6*h + 4. Let r(b) = -b**3 - 4*b**2 + b. Let l be r(-3). Let i be u(l). What is i rounded to the nearest one thousand? -4000 Let u be ((-206)/3)/(2/(-3)). Let b = 800 - 357. Let j = u - b. What is j rounded to the nearest one hundred? -300 Let a = -0.56 - -0.5599923. What is a rounded to six decimal places? -0.000008 Let g = -11.5 - -5. Let i = g - -7. Let x = i + -0.4999992. Round x to 7 decimal places. 0.0000008 Let s(z) = 763*z + 2 - 6*z + 117*z. Let w be s(2). Suppose 2*o - w - 11450 = 0. What is o rounded to the nearest one thousand? 7000 Suppose -5*h - 12 = -2*h, -2*t - 5*h - 14 = 0. Suppose -t*j - 7*z + 32494 = -3*z, -4*z - 20 = 0. Let q = -4838 + j. What is q rounded to the nearest 10000? 10000 Suppose -6*t - 2*t + 2368000 = 0. What is t rounded to the nearest one hundred thousand? 300000 Let p = 2 - 0. Suppose 0 = 3*k - 4*l + 208, p*k + 3*l + 269 = -2*k. Round k to the nearest ten. -70 Let p(m) = m**3 - 8*m**2 + 8*m - 3. Let r be p(7). Suppose -v - v = -r. Let s be 1088/(-36) - v/(-9). Round s to the nearest ten. -30 Let m(q) = -132142*q - 12. Let f be m(14). What is f rounded to the nearest one hundred thousand? -1900000 Let b = 290786 + -990786. Round b to the nearest one million. -1000000 Suppose -t - 15 = -4*t. Suppose 5*i + 16520 = 5*f, -16488 = t*i - 2*f + 5*f. Round i to the nearest 1000. -3000 Let h = -0.6 - 0.2. Let t = h + 0. Let j = t + 0.7999991. Round j to six dps. -0.000001 Let r(m) = 1770*m**3 - m**2 - m + 2. Let i be r(-2). Let v = 75160 + i. What is v rounded to the nearest 10000? 60000 Let n = -29 - -28.9999994. Round n to six decimal places. -0.000001 Let p = -8 - -4. Let d = 3.9999996 + p. What is d rounded to six decimal places? 0 Let q = -1.8 + 2.48. Round q to one decimal place. 0.7 Let j = 67 + -67.66. Let p = -0.66081 - j. Round p to four dps. -0.0008 Let w = 140.87 + -142. Let i = w - -0.44. Round i to one dp. -0.7 Let g = -19 + 8. Let p = 18 + g. Let n(s) = 20000*s**2 - s + 7. Let w be n(p). Round w to the nearest one hundred thousand. 1000000 Let r = 6.564 - -0.036. Round r to zero decimal places. 7 Suppose 116 = n - 4*t, 2*t = 2*n + 98 - 330. Let f = -178 + n. Round f to the nearest ten. -60 Suppose -2*n = 3*n + 395. What is n rounded to the nearest 10? -80 Let m(v) = 567188*v**3 - 3*v**2 + 5*v - 4. Let u be m(4). What is u rounded to the nearest 1000000? 36000000 Let o = -0.0180059 - -0.018. What is o rounded to six dps? -0.000006 Let d = 17 + -43. Let w = -22.8 - d. Let m = w - 3.162. Round m to 2 decimal places. 0.04 Let v(q) = -4*q - 4. Let c be v(-6). Let z be (c/8)/(1/2). Suppose -1405 = z*k + 2595. Round k to the nearest 1000. -1000 Let q(f) = 40*f - 3. Suppose -3*c + 15 = -2*i + 5*i, 7 = 2*c + i. Let h be q(c). Let r = h + 133. Round r to the nearest 100. 200 Let h = -2 + -1. Let a = h - -4. Let f = a + -0.9993. Round f to three decimal places. 0.001 Let f = 32.24076 - 0.24306. Let u = 32 - f. What is u rounded to 3 dps? 0.002 Let k = 6 - -9. Let c be 3/15 + 25077/k. Suppose -5*o + 3128 = -c. What is o rounded to the nearest 100? 1000 Suppose -k - 24870 - 7130 = 0. Let t be ((-2775)/(-6))/((-2)/k). What is t rounded to the nearest 1000000? 7000000 Let h = 4236 + -2379. Let j be (h/2)/((-3)/(-4)). Let b be j/18 + (-4)/(-18). Round b to the nearest ten. 70 Let r(d) = -439*d + 17. Let c(j) = 219*j - 8. Let w(a) = 5*c(a) + 2*r(a). Let s be w(8). What is s rounded to the nearest 100? 1700 Let z = 133 - 131.73. Let u = z - 1. What is u rounded to 1 decimal place? 0.3 Let s = 6 + -31. Let i = s - -25.00000011. What is i rounded to 7 dps? 0.0000001 Let o be (-10)/(-35) - 33/(-7). Suppose -b = j - 6*j - 61, 45 = -5*j + o*b. Round j to the nearest 10. -10 Suppose 3*y - y - 348000 = 0. Round y to the nearest 100
{ "pile_set_name": "DM Mathematics" }
3, f, g in decreasing order. 3, f, g Let w = 298 + -296. Sort -252, 4, w in descending order. 4, w, -252 Suppose 4*j - 7 = -23. Let q(p) = 2*p**2 - 7*p. Let u be q(5). Let w be (4/14)/(u/35). Sort j, 5, w. j, w, 5 Suppose -2*m = -n + 3, 8 - 3 = -4*m + n. Let w = -143 + 106. Let r = w + 32. Sort 3, m, r in increasing order. r, m, 3 Let a = -2206.6 + 2207. Sort -5, 3/19, a, 3/7 in descending order. 3/7, a, 3/19, -5 Let o be -1 + 0 + (-2)/(-3). Let s be 12/90 - (-3)/30*2. Put 0.4, o, s in ascending order. o, s, 0.4 Let h be 4/10 - (-216)/10. Suppose 0 = 98*c - 105*c + 25 + 3. Sort -3, c, h. -3, c, h Suppose 2*a + 2 = -10*z + 14*z, -4*z - 33 = 5*a. Sort z, 7, -0.4 in descending order. 7, -0.4, z Suppose a = -3*w + 2*a - 56, 0 = w + 5*a - 8. Sort w, -0.2, -7. w, -7, -0.2 Let n be (-9 + 10)*-1*(1 - 2). Put 4, 37, n in descending order. 37, 4, n Let f = -2.2 - -1.8. Sort f, 4/9, 1/4, -3 in descending order. 4/9, 1/4, f, -3 Let a = 12.3 + 3.7. Let x = 4/1031 + -3109/4124. Sort x, 2, a in decreasing order. a, 2, x Let y be (9/6 - 3)*(4 + -6). Let f be 8 - -1*(-2 - 1). Suppose -3*b = -2*k + 20, b - 3*k = 6*b + 8. Sort b, y, f in decreasing order. f, y, b Let t = 2919 - 8756/3. Let h = 0.228 - -0.042. Sort t, h, 0. 0, h, t Let v be -6*-1*3*24/(-27). Put v, 5, -2 in ascending order. v, -2, 5 Let o = 8 + -5. Suppose -n + 12 = 3*k, o*n + 5*k - 20 = -n. Sort 2, 3, n in descending order. 3, 2, n Let i = 1 - 0.9. Let m = -129.9 - -129.5. Sort 3, i, -1, m in decreasing order. 3, i, m, -1 Suppose -9 = -2*h + 5*h. Let r(i) = i**3 - 11*i**2 + 6*i + 20. Let s be r(10). Let o be 6/(((-4)/10)/(s/(-75))). Sort o, h, 2 in decreasing order. 2, h, o Let k(l) = l**3 + 3*l**2 - l - 2. Let o be k(2). Let x(w) = 40*w + 164. Let z be x(-4). Sort 3, z, o, 0.4 in decreasing order. o, z, 3, 0.4 Let g(d) = -2*d**2 - 10*d - 10. Let p be g(-4). Suppose 0*m - m = 2*n + 3, 3*m + n = -14. Sort -4, 14, p, m in decreasing order. 14, p, -4, m Suppose 2*n - 5*g - 20 = -7*g, -g - 2 = -n. Sort 2, n, 1, -1 in increasing order. -1, 1, 2, n Let n be 3/(-13) + 1575/(-7371). Suppose 4*u - 2*x = -4*x - 12, 5*x = 4*u + 26. Put n, 1, u in decreasing order. 1, n, u Let v = 997.7 - 959. Let g = v + -39. Sort 0.8, g, -1 in decreasing order. 0.8, g, -1 Let c(h) = -8*h - 8. Let z be c(-7). Suppose 2*a = 30 + z. Suppose -4*r - a = 9. Put -4, r, 2 in increasing order. r, -4, 2 Let x = -8.1 - -25. Put -1, -2, x in decreasing order. x, -1, -2 Let s = 2.24 + -2.4. Let r = s + 0.56. Sort -5, -2/17, -0.3, r in ascending order. -5, -0.3, -2/17, r Suppose o - 5*i - 21 = 0, o = -4*o + 4*i. Let q = -4 + 5. Suppose -5*d - 9 - 6 = 0. Put d, q, o in increasing order. o, d, q Suppose 9 = -8*q + 4*q + c, 3*q + 18 = -3*c. Let a be (1 - (q - 24/(-4))) + -1. Put 2, a, -28, -2 in ascending order. -28, a, -2, 2 Let t be ((-178)/7)/(-2) + 22/77. Suppose t*h - 8*h - 15 = 0. Sort -4, -5, h. -5, -4, h Let o = -35 - -31. Let g be 5*4*(-3)/(-60). Sort g, 6, o in decreasing order. 6, g, o Let a = 7 - 4. Suppose 2*t - 3 + 5 = 5*b, 0 = -5*b + a*t + 3. Sort 5, -3, b, 0.1 in decreasing order. 5, 0.1, b, -3 Let s = 49.39 + -50.3. Put s, -4/3, -5 in descending order. s, -4/3, -5 Let b = 261.94 - 262. Let n be 29/9 + -3 + 0. Sort 0.3, n, b in descending order. 0.3, n, b Let a = -2.958 + -0.042. Let h = 329/5 - 65. Let n = h + -13/10. Put a, n, 2 in descending order. 2, n, a Let j be 3/2*1 - 1. Suppose -2*d = -5*f + 180, -5*d = -3*d - f + 180. Let s be 6/d*(3 - 3/6). Sort s, j, 0.1. s, 0.1, j Let y = 11 + -7. Let w(b) = 44*b + 1851. Let f be w(-42). Put -3, y, f, -4 in increasing order. -4, -3, f, y Let o be (-3)/12 + 86/(-8). Suppose -y = -4*y. Suppose -4*k + 5*m + 45 = 0, y = -7*m + 5*m - 10. Put o, 1, k in increasing order. o, 1, k Suppose -9*k = -10*k + 56. Let x be (12/k)/(3/4). Sort 0.2, x, -2/11. -2/11, 0.2, x Let z(j) = j + 7. Let y be z(-4). Suppose -9 = 4*l - 3*l - q, -y*q = 0. Sort l, 1, 3, -3 in descending order. 3, 1, -3, l Let c = -3 - -2. Let j = 81 - 74. Suppose -8*s + 17 + j = 0. Put c, s, 0 in descending order. s, 0, c Let b = -5.0633 + 0.0633. Sort b, 0.2, 0.36, 5. b, 0.2, 0.36, 5 Let z = 0.056 - -0.944. Let j = -22 - -21.89. Let i = j - 2.89. Sort i, z, -4/7. i, -4/7, z Suppose 4*i + 2*g = i - 11, 0 = 5*i - 4*g + 11. Let u be (0 + (i - -6))*1. Suppose 4*k + 3 = -13. Sort u, 5, k in increasing order. k, u, 5 Let k be (-22)/(-8) - 2/(-8). Suppose a = -k*a - y + 21, y = -3. Let p = 48783 + -48788. Put p, -0.3, a in decreasing order. a, -0.3, p Suppose 6*g + 13 = 61. Suppose 13*l = 11*l + g. Sort -0.2, l, 3. -0.2, 3, l Let m = -4/61 - -73/183. Let n = -2153/9 + 239. Put 0.05, n, m in ascending order. n, 0.05, m Let d = -1.17 + 0.37. Let f = -0.6 - d. Sort -3/2, 0.3, f in decreasing order. 0.3, f, -3/2 Let s be 9/36 + 2/((-8)/(-1)). Suppose -2*g + 5*g = -6. Sort s, -3/4, g, 1/3 in decreasing order. s, 1/3, -3/4, g Let f = 1.93 - -0.07. Let z = 0.413 - -0.087. Sort -2, z, f in decreasing order. f, z, -2 Let t = -390 + 362. Sort -2, 1, t. t, -2, 1 Let o = -769.07 + 769. Put 2, o, 6, 3 in decreasing order. 6, 3, 2, o Let p be (2 - 72/40)/(12/15). Put p, 32, -3/5 in decreasing order. 32, p, -3/5 Let k be (-303)/(-720) + 0 - 0. Let d = k + -1/48. Suppose -3 = -3*u + 4*u + 4*r, -5*r - 5 = 0. Put u, d, -2/25 in descending order. u, d, -2/25 Let l = -31.11 - -0.11. Let r = l - -30. Put -2, -4, -0.01, r in descending order. -0.01, r, -2, -4 Suppose 4*l - 5 = -l. Suppose 2*a = 5*s - 85, 578*a - 579*a - 26 = 3*s. Put l, -4, a in decreasing order. l, -4, a Suppose 4*m - 6*w + 2*w = 0, 5*m + 2*w - 14 = 0. Let y = 0.148 + -0.348. Put -0.05, m, y in ascending order. y, -0.05, m Let t(z) be the third derivative of z**6/120 - z**5/60 + z**4/24 - z**3/6 + 2*z**2. Let c be t(1). Let n = 4 + 1. Sort n, c, -3 in decreasing order. n, c, -3 Suppose 49*k = 45*k + 188. Sort k, -3, 3 in decreasing order. k, 3, -3 Let s = -64.64 + 0.64. Let i = s + 71. Sort i, -0.5, 4. -0.5, 4, i Let z be -4*(-6 + 11 - 4). Sort 1, -153, z in ascending order. -153, z, 1 Let f = -10.76 - -10.56. Let b be (-3)/(-5) + 22/(-70). Sort b, 3, f, -5 in decreasing order. 3, b, f, -5 Suppose 3*v + 2*c = 17, 16*c - 20*c = -v + 1. Sort 44, v, -2. -2, v, 44 Let q = -3.8 + 4. Let n = -0.8 - q. Let f = -30 - -147/5. Sort -3, f, n in decreasing order. f, n, -3 Let z = -0.75 + 0.8. Let q = z - -3.95. Let s = -11 + 10.8. Sort q, 0.5, s in increasing order. s, 0.5, q Let u(i) = i**3 + 3*i**2 - 4*i - 2. Let w be u(-4). Let j = 61 - 51. Let x be (j/6)/(3/(-9)). Sort x, 0, w in descending order. 0, w, x Suppose z - 3*g = -0*z + 3, 3*g = -z - 9. Put 1, -4, -1, z in increasing order. -4, z, -1, 1 Let n be 172/(-80) + 2 + (-2)/8. Sort n, 2, 3 in descending order. 3, 2, n Let z = -284 - -280. Suppose 9*b = 4*b - 15. Let j(y) = y + 9. Let q be j(-6). Sort b, q, z in increasing order. z, b, q Let c = 16 + -21. Let r = 0 + c. Sort -1/10, -6/11, r. r, -6/11, -1/10 Let a = -121 + 127. Put a, -2, 2 in descending order. a, 2, -2 Let d(h) = -h**3 - 4*h**2. Let s be d(-4). Let p be (4/(-20)*s)/(-1). Put -1, p, 3 in descending order. 3, p, -1 Let m(w) be the first derivative of w**4/4 - 2*w**3 - 15*w**2/2 - 2*w + 1. Let u be m(8). Sort 0, u, 1 in increasing order. 0, 1, u Suppose 0 = 2*r + 2*r - 12. Suppose -3*p + 2*p + 1 = 0. Let h = 0 - 1. Sort h, r, p in descending order. r, p, h Suppose -4*t - 14 = -2*p, -6*t - 13 = p - 3*t. Sort -4/5, p, 0 in ascending order. p, -4/5, 0 Let l = 297 + -143. Let m = l + -1541/10. Sort -3, -1/5, 5, m in decreasing order. 5, m, -1/5, -3 Let o = -763 - -768. Put 1, -2, o in ascending order. -2, 1, o Let w = 17 - 17.1. Let a = 0.5 + w. Put a, -1/10, -2 in descending order. a, -1/10, -2 Suppose 35*g = -244 - 526. Suppose 0 = 4*n - 9*n + 130. Let c = n + g. Put c, -2, 12 in ascending order. -2, c, 12 Suppose 5*p = -3*y + 2*p + 21, -3*p = 4*y - 26. Sort 15, 4, -2, y in ascending order. -2, 4, y, 15 Let z = 648 - 3269/5. Let v = z - -57/10. Let a = -8 - -7.7. Sort v, a, -1 in decreasing order. v, a, -1 Suppose -8*l = -3 + 11. Let v(h) = -2*h + 4. Let y be v(3). Put l, 5, y in decreasing order. 5, l, y Suppose 8 - 1 = 7*k. Sort 3, 39, k. k, 3, 39 Let p = 2 - -3. Suppose 0 - 4 = -4*l - 5*y, 3*l - y = 3. Put p, -1, l in descending order. p, l, -1 Let w = -136 + 141. Let a
{ "pile_set_name": "DM Mathematics" }
p**7)**(-8/7) assuming p is positive. p**(128/7) Simplify g**(-22)/g**5*g**(6/7)/g**(-1/16) assuming g is positive. g**(-2921/112) Simplify (((x*((x/x**(-3)*x)/x)/x*x)/x**(-3))/((x/x**(-1))/x*x*(x*(x*x**(-1/3)*x)/x)/x))**(31/3) assuming x is positive. x**(496/9) Simplify ((l**4/l*l*l*l)/(l**15*l))**(-24) assuming l is positive. l**240 Simplify ((q/((q**(-5/6)/q)/q))/(q/(q/(q/(q/(q**(-2/41)*q*q)))*q)*q))**39 assuming q is positive. q**(6019/82) Simplify (f**(-20)*f**(-14))/(f**(-22)/(f/(f/((f/(f**(-3/7)*f))/f)))) assuming f is positive. f**(-88/7) Simplify ((d**(8/7)*d)**(28/9))**(3/22) assuming d is positive. d**(10/11) Simplify (i**(-5))**37/((i**19/i)/(i*i**(-11/2))) assuming i is positive. i**(-415/2) Simplify (l**(-9)/l)**(3/17)/((l**(2/9)/l)/l*l/l**0) assuming l is positive. l**(-151/153) Simplify ((((z*z/(z**6/z*z))/z)/z)/(z**(-10)*z))**13 assuming z is positive. z**39 Simplify o**(-6)*o**(13/2)*(o*o**(-2)/o*o)**(-5/13) assuming o is positive. o**(23/26) Simplify (o*o**(5/2)*o**(1/13))/(o*o**0/o*o)**(-21) assuming o is positive. o**(639/26) Simplify ((v**4*v*v**(6/11))/((v/v**5)/((v*v**6)/v)))**(9/8) assuming v is positive. v**(1539/88) Simplify ((p**(1/14)/p)/p)/(p/(p**8/p*p))*(p/((p*p**(-1/4)/p)/p))**(-18/11) assuming p is positive. p**(107/77) Simplify ((x*x/(x/((x*x/((x/((x/(x/x**2)*x)/x))/x))/x)))/x*x)/x*x/(x**(-2/23)/x)*(x**(-3))**42 assuming x is positive. x**(-2781/23) Simplify (i**(-4/7))**(-22)/(i*i*i/(i*i**6)*i**(9/5)) assuming i is positive. i**(517/35) Simplify (w**(1/13))**(-25)/(w**(-4/11)/w**(-4/15)) assuming w is positive. w**(-3917/2145) Simplify ((h**(4/5)*h*h/(h*h*(h*h/h**6)/h))**(-19/6))**(3/23) assuming h is positive. h**(-551/230) Simplify ((i**4/i*(i*(i/(i*i*i**(-6)))/i*i)/i)**(6/17))**(-6) assuming i is positive. i**(-288/17) Simplify o**(-7/2)*o*o*o*o/o**(-1)*(o*o*o/(o**(-1)*o*o))**(-43) assuming o is positive. o**(-169/2) Simplify ((x**(-2/9)/x)**(15/8)/((x**(-12)*x)/(((x/((x/(x*x/(x/x**(5/6))))/x*x*x))/x)/x)))**(1/72) assuming x is positive. x**(181/1728) Simplify (((u*u/(u*u*u**8*u*u))**(-41))**(9/10))**22 assuming u is positive. u**8118 Simplify ((m**(2/3))**(-49)/((m*m/(m**9*m*m))/((m/m**(-4/7))/m)))**(28/9) assuming m is positive. m**(-1940/27) Simplify (s**(-2/3)/s**(-9/5))/(s/s**0)**48 assuming s is positive. s**(-703/15) Simplify ((y**4/y**(-2))/((y*y/(y**(-2/5)/y))/y)**(-1/8))**(-4/19) assuming y is positive. y**(-126/95) Simplify (c*c**(-7)*c*(c*c**(1/8))/c*c*c*c/((c/(c*c/(c**(-4)/c)*c))/c)*c**2)**(-46) assuming c is positive. c**(-1495/4) Simplify (a**(-3/8)/a**(-13))/(a**(-9)*a**(-6)) assuming a is positive. a**(221/8) Simplify (t**(-8)/t)/t**(-6)*t**(-15)*t**(-5) assuming t is positive. t**(-23) Simplify (((q**(-1/6)/q)**(-6/5))**34)**(38/7) assuming q is positive. q**(1292/5) Simplify ((r/r**(-7))**(-3))**(-50) assuming r is positive. r**1200 Simplify ((c*c/(c/(c*c*((c/c**(1/12))/c)/c*c))*c*c)/c**(-27))**(-6/13) assuming c is positive. c**(-383/26) Simplify (r/(r/(r/r**(-4/17))))/(r/((r*r/(r/(r*r/r**19)))/r))*(r/r**(3/5))**(-9) assuming r is positive. r**(-1731/85) Simplify (m/m**(-1/5)*m/(m/m**(-1)*m)*(m*m**0*m*m)**(-18))**(-5/14) assuming m is positive. m**(137/7) Simplify (t**3/((t/t**5)/t)*((t/t**1)/t)/(t*t*t**(-7)*t))**31 assuming t is positive. t**341 Simplify (p*p*p**(-1/3)*p)**(-48)/(p**6)**(-16/5) assuming p is positive. p**(-544/5) Simplify ((w**(-2)/w)/w)**(10/9)/((w*w*(w*w/w**(2/7))/w)/(w*w/w**7*w)) assuming w is positive. w**(-703/63) Simplify ((a**(-2)/a)/a)**42/((a*(a/(a/a**(-8))*a)/a*a)/(a*a**2)) assuming a is positive. a**(-159) Simplify (((s*s**(-3/5))/s**(-1))/((s*s/s**(-2/3)*s)/s)**(-9))**50 assuming s is positive. s**1270 Simplify (y**(-2/3)*y*y/(((y/(y/(y**5*y)))/y)/y)*(y/y**(3/5))/y**(-2/5))**(-1/9) assuming y is positive. y**(28/135) Simplify q**(-9/7)*q/(q*q**(-2/3))*q*((q**(-11/4)/q)/q*q)**(-48) assuming q is positive. q**(3788/21) Simplify (h/(h*h**46)*h*h*h**11*h*h)**(3/5) assuming h is positive. h**(-93/5) Simplify (p**(-2/3))**(-2)/((p**(1/14)/p)/((p/(p/p**(-1/4)))/p*p)) assuming p is positive. p**(169/84) Simplify a**(-32)/((((a*a**(8/13))/a)/a)/a)*a*a**(-5/7)*a**(2/25)*a assuming a is positive. a**(-66543/2275) Simplify ((h*h/(h*(h/(h**(2/11)*h))/h)*h)**(9/4)/(h/(h*h**2)*h**7))**(-9/8) assuming h is positive. h**(-855/352) Simplify ((i/(i**(4/7)*i*i)*i)/i)**(-1/26)/(i**(-17)*i*i**(2/15)) assuming i is positive. i**(43481/2730) Simplify (p**(2/13)*p*p**(1/21))/(p**(-5))**(1/3) assuming p is positive. p**(261/91) Simplify (((w*w**(-2/3)*w)**(-19))**(-1/5))**31 assuming w is positive. w**(2356/15) Simplify ((i*i/(i*i**(-1)/i*i)*i)**(-14))**(-13/6) assuming i is positive. i**91 Simplify ((l*l**(-1)/l*l*l*l*l)**4*l**(3/4)*l*l**6*l)**(-41) assuming l is positive. l**(-3403/4) Simplify (((x*((x*x**(-2/41))/x)/x)/x)/(x**(-4/7)/x))/(x**1)**(9/2) assuming x is positive. x**(-2283/574) Simplify ((r**(-14)/r*r*r**(-14)*r)**(-3/10))**(-1/28) assuming r is positive. r**(-81/280) Simplify (z**(-1/2)/z**(-19/6))/(z*((z*z*z/(z**(2/9)*z*z*z)*z)/z)/z*z**(-7/4)) assuming z is positive. z**(167/36) Simplify ((r*r**(2/17))/r**(-1/2)*(r**(2/5))**30)**(2/5) assuming r is positive. r**(463/85) Simplify ((t*t**5)/t**(-1/6)*t**(-7)/(t*((t*t**3*t)/t)/t))**(-8/9) assuming t is positive. t**(116/27) Simplify j**34/(j**28*j)*(j/(j/((j*j**(-1/38))/j)*j)*j)**(-22) assuming j is positive. j**(106/19) Simplify (p/(p*p*p*p**(-7)))**(-7/6)*p**(-12)*p*p**(2/53)*p assuming p is positive. p**(-5023/318) Simplify y**(-1/9)*y*y**(-11/3)/y*y*(y**(-11/3)*y)/(y**4*y) assuming y is positive. y**(-94/9) Simplify ((v**11*v)/v**(-7/5))/(v/(v/((v*v/(v*v/v**(2/3)))/v))*v)**(-1/17) assuming v is positive. v**(3427/255) Simplify (q*q/(q*q**(-37)/q*q)*q*q/q**(-32))**(-1/23) assuming q is positive. q**(-72/23) Simplify (u**(-1/36)/(u**(2/23)*u))/(u**(-2)*u**10) assuming u is positive. u**(-7547/828) Simplify (n/n**(-4))**(-3/31)/(n**(-2/13))**(19/4) assuming n is positive. n**(199/806) Simplify (((f**(-6)*f*f)/((f/f**(-2/5))/f))**(2/15))**(-8/9) assuming f is positive. f**(352/675) Simplify (z**1/z**2)/(z*z*z/z**(1/13)*z*z/(z/z**(-4/3))*z) assuming z is positive. z**(-179/39) Simplify (a**(1/3)*a**(-20))/(a**(-11)*a/(a**(-22)/a)) assuming a is positive. a**(-98/3) Simplify ((s*s**(12/11))/(s/(((((s*s**(9/10))/s)/s)/s)/s)))**(-24/5) assuming s is positive. s**(1332/275) Simplify (w*w**(-3/2)*w**(1/5))/(w/(w*w**(-10/7))*w**(-1/6)*w*w) assuming w is positive. w**(-374/105) Simplify ((h/(h/h**(-2)))/h*h)**(2/11)/((((h*h/h**37)/h)/h*h)/((h*h/((h/(h/((h/h**(-14))/h)))/h))/h)) assuming h is positive. h**(260/11) Simplify (c*c**(-15)*c*c*(c/(c*c/c**(-21)))/c)/(c**(8/5)*c*c**(2/3)/c*c) assuming c is positive. c**(-574/15) Simplify ((((r*r**(-3/5))/r)**(-5/6))**5)**(-41) assuming r is positive. r**(-205/2) Simplify h**(-2/15)/((h/h**(-1/8))/h)*(h**(2/21)*h)/(((h/(((h/h**2*h)/h)/h*h)*h)/h)/h) assuming h is positive. h**(-137/840) Simplify x**10/(x/x**(4/7))*((x*x**15/x)/x)/x**(-3/2) assuming x is positive. x**(351/14) Simplify (g**(7/4)*g)**(-2/15)*(g/g**24)/(g/(g/(((g/g**21)/g)/g))) assuming g is positive. g**(-41/30) Simplify ((b*b*b**(-7/9)*b)/((b/(b*b*b**(-1/12)))/b))/((b**(-17)/b)/b**(-1/2)) assuming b is positive. b**(779/36) Simplify (x*x/x**14*x**(-7/9))**(-1/89) assuming x is positive. x**(115/801) Simplify ((c**(-2/33)*c)/c**(-10))/(c/c**(-3)*c/(c**(-13/3)/c)) assuming c is positive. c**(20/33) Simplify r**(2/17)*r**(-6/5)*r/r**(1/13)*((r*(r*r**(-12)/r)/r*r)/r*r)/r assuming r is positive. r**(-13436/1105) Simplify ((j*j**5)/j**(6/13))/((j*j**(-1/4))/j*j*j**(-8/11)) assuming j is positive. j**(3155/572) Simplify ((p**(-3/2)*p/((p*p**(4/7))/p))/(p/p**(1/2))**6)**(-36/5) assuming p is positive. p**(1026/35) Simplify (y*y**(-23)*y*y*y**(-3/17)*y)/(y**19*y**(-17)) assuming y is positive. y**(-360/17) Simplify (i**(-1))**(50/9)*(i**0)**(1/41) assuming i is positive. i**(-50/9) Simplify (((a*a/(a*a**4))/a)**(-1))**47 assuming a is positive. a**188 Simplify ((g**(-2)*g**1)/(g/(g*(g**(1/4)/g)/g)*(g/(g*g**(-2/7)))/g))**(40/7) assuming g is positive. g**(-570/49) Simplify (w**10/w**9)/(w**(-2/43)/(w**(3/2)*w)) assuming w is positive. w**(305/86) Simplify x**(1/11)*x**(-1/7)*(x/x**(2/17))/(x/x**(-1/35)) assuming x is positive.
{ "pile_set_name": "DM Mathematics" }
alue in -3, 151, -1, 1.3? -1 Which is the third smallest value? (a) -2 (b) -0.11 (c) 0.1 (d) 0.4 c What is the second smallest value in 2/17, 1/7, -0.2, 27/8? 2/17 Which is the fourth biggest value? (a) 1.2 (b) -2/15 (c) -2 (d) 3 c Which is the third biggest value? (a) 0.019 (b) -4 (c) 2 (d) 0.01 d What is the second smallest value in 1/7, 1.8, -11, -5? -5 Which is the fifth smallest value? (a) 0.2 (b) 1/17 (c) -1.4 (d) 2/11 (e) 1 e Which is the biggest value? (a) -0.1 (b) 3 (c) 0.2 (d) 52 d What is the third biggest value in 0.5, -3/7, 13? -3/7 What is the biggest value in -5, -0.5, 4227? 4227 Which is the third smallest value? (a) 5/2 (b) 11 (c) -99 (d) -3/7 a Which is the smallest value? (a) 1 (b) -2/19 (c) 262 (d) -2/7 d What is the second smallest value in 0.1, 2/5, 0.3, -2? 0.1 Which is the biggest value? (a) -3/2 (b) 0 (c) -2.6 (d) -6 (e) 1.6 e What is the fourth biggest value in 3/2, -1/10, 0.032, 5? -1/10 What is the smallest value in 5, -3, 2/3, 0.3, 130? -3 What is the third biggest value in -2/7, -8, -5, -6/7? -5 What is the second biggest value in 0, -2/7, 0.7, -133? 0 What is the fifth smallest value in 0, 0.1, -1/3, 1/47, -0.4? 0.1 Which is the second smallest value? (a) 2/3 (b) -5 (c) -4/3 (d) 1/13 c What is the third smallest value in 20, -0.1, 2/17, 1/7? 1/7 What is the fourth smallest value in 0.1, 5, -1, -3, 1095? 5 What is the smallest value in -1, 2, -1/33, 2/9? -1 Which is the second biggest value? (a) 659 (b) 3/2 (c) 3 (d) -0.2 c Which is the second smallest value? (a) 1131 (b) 2/11 (c) -5 b What is the smallest value in -1, -39/85, 3? -1 What is the second biggest value in -1, 1.16, 3.5? 1.16 What is the smallest value in 2/3, 0.5, 117, 0.4, 0.2? 0.2 Which is the smallest value? (a) 71.1 (b) -5 (c) -2 b What is the biggest value in -2, 8, 4, 2? 8 What is the biggest value in -0.081, 0.2, -1? 0.2 Which is the fourth biggest value? (a) 3 (b) 2 (c) -6/7 (d) -0.01 (e) 0 d Which is the fourth biggest value? (a) -0.5 (b) 3 (c) -12.4 (d) -4 c What is the biggest value in -5, -0.117, 2? 2 What is the second smallest value in -5, -2/3, -2/5? -2/3 What is the fifth smallest value in 5, 0.5, 2/3, 1, -0.2? 5 What is the smallest value in -1/10, 0.4, -2? -2 What is the second biggest value in 0.05, 3/8, 1/2, 18, 0.4? 1/2 What is the second smallest value in 0.4, -2, 1/5? 1/5 Which is the second biggest value? (a) -4 (b) 1/2 (c) 452 b Which is the biggest value? (a) 27 (b) -2/7 (c) -0.03 a Which is the third smallest value? (a) 4 (b) 0 (c) -0.3 a Which is the smallest value? (a) 3/4 (b) 260 (c) 0 (d) 3 c What is the fourth smallest value in 13, 1, 0.1, -0.61? 13 What is the fourth smallest value in -0.1, 2, -4/3, -2? 2 Which is the third smallest value? (a) -5 (b) -0.2 (c) -36 (d) 0 b Which is the third biggest value? (a) -5 (b) 2376 (c) -4 (d) -0.3 c What is the third biggest value in -3/7, -1, -0.06, -2/9? -3/7 What is the second biggest value in 2, -0.1, 1969? 2 Which is the biggest value? (a) -4.4 (b) 5 (c) 4 (d) -0.06 b What is the second smallest value in -1/4, -4, 0.5, -0.092? -1/4 Which is the biggest value? (a) -3 (b) -229 (c) 2/9 c Which is the third smallest value? (a) -30 (b) -4.1 (c) 0.5 c What is the second biggest value in -11, 1, 40? 1 Which is the second smallest value? (a) -2 (b) -36 (c) -13 c Which is the smallest value? (a) 4 (b) 9 (c) 1.5 (d) -2/9 d Which is the fourth biggest value? (a) -2/9 (b) 2 (c) -2 (d) -55 d Which is the biggest value? (a) -1 (b) 14 (c) 0.3 b Which is the biggest value? (a) 3/5 (b) -2/5 (c) 3 (d) -67 c What is the second smallest value in -2/11, -1, -16? -1 What is the biggest value in -4, -2, 60? 60 Which is the smallest value? (a) -0.1 (b) 3/5 (c) -2 c Which is the second biggest value? (a) -0.2 (b) -0.044 (c) -2 (d) 1 b What is the second biggest value in -0.12, -18, -0.4, 0.1, -1/5? -0.12 What is the third biggest value in 34, 179, -4? -4 What is the third biggest value in 10/3, 2/21, 0.4, 3? 0.4 What is the second smallest value in -1250, -3/4, -5/3? -5/3 What is the biggest value in -2/7, 0.3, 5, -2? 5 Which is the third smallest value? (a) 6 (b) -1/2 (c) 0.3 (d) -0.06 c Which is the third biggest value? (a) 0.3 (b) 1/24 (c) 94 b Which is the second smallest value? (a) 240 (b) 0.2 (c) 4/11 c Which is the third biggest value? (a) 1.98 (b) -5 (c) -3 b What is the fourth smallest value in -3/2, 0, -1/2, 1/6, 1/4? 1/6 What is the third smallest value in 1/7, -0.2, 8, 0.5? 0.5 Which is the second biggest value? (a) 14 (b) -4 (c) 0.016 (d) -0.3 c Which is the fourth biggest value? (a) 2 (b) 0.5 (c) -0.1 (d) -0.2 d What is the third smallest value in -1/4, 4/3, -72? 4/3 Which is the smallest value? (a) -8 (b) -1/7 (c) 0.3 (d) 0.2 a What is the smallest value in 1/5, 2, 14, 0? 0 What is the second biggest value in 0.2, 3419, 3? 3 Which is the second smallest value? (a) -0.5 (b) 0 (c) 1.39 b Which is the third smallest value? (a) 2/3 (b) 5 (c) 4/7 b Which is the fourth biggest value? (a) 3/2 (b) 2/19 (c) -2/3 (d) 0.06 c Which is the third smallest value? (a) -4 (b) 32 (c) 0 b Which is the third smallest value? (a) -0.1 (b) 3 (c) -91/10 b What is the third smallest value in 0.023, -1, -5? 0.023 Which is the second smallest value? (a) -25 (b) -1/2 (c) 3 (d) 2/5 b Which is the third biggest value? (a) -0.4 (b) -0.5 (c) -166/5 (d) -3/4 d What is the second biggest value in 16, -0.1, -4, 4? 4 What is the fourth biggest value in 8.1, 5, -6, 0? -6 What is the fourth biggest value in 2/7, -6, 29, -2/13, 0.5? -2/13 Which is the second smallest value? (a) 5 (b) 4 (c) -10 (d) -3/2 d Which is the third smallest value? (a) 2/5 (b) -6 (c) 0.3 a Which is the third biggest value? (a) -25/2 (b) 1/5 (c) 11 (d) -3 d Which is the third smallest value? (a) 1 (b) 2 (c) 90 (d) 0 (e) 3 b Which is the biggest value? (a) 0.1 (b) -4 (c) -115 (d) 0.2 d What is the smallest value in 41, 4, -20? -20 What is the second biggest value in -3, -3/16, -1005? -3 What is the third smallest value in -0.305, 2/7, 0.2, 0.4? 2/7 What is the fifth smallest value in 3, -4, 1, -1.1, -0.2? 3 Which is the third biggest value? (a) -4 (b) 287 (c) 9 a Which is the biggest value? (a) 3 (b) 17 (c) -6 b What is the smallest value in 0.3, -7, 1, -1? -7 Which is the smallest value? (a) -6 (b) -0.5 (c) 0.2 a What is the biggest value in 4, -3, 1.39, 1? 4 What is the third biggest value in 1, 3, 1.56, -2/7? 1 What is the third smallest value in -2, -1/3, -5/22, -0.4, -4? -0.4 Which is the third biggest value? (a) 0.1 (b) 0.5 (c) 62.1 (d) -3 a Which is the smallest value? (a) 1/7 (b) 2.5 (c) -2/15 (d) 5 c What is the fifth smallest value in 3, 8, 1, -3, 0.1? 8 Which is the smallest value? (a) -1 (b) -2/621 (c) -0.1 a What is the third biggest value in -10/11, 4/65, 3? -10/11 Which is the third biggest value? (a) -9/8 (b) -4 (c) -1/4 b What is the third smallest value in 285, 19, -2/13? 285 Which is the second smallest value? (a) -114 (b) -6 (c) 0.1 (d) 3 b Which is the fifth biggest value? (a) 2 (b) -5/6 (c) -14 (d) 5 (e) -1/34 c Which is the second smallest value? (a) 54 (b) 0.5 (c) -82 b Which is the second biggest value? (a) 5/8 (b) 0.5 (c) 2 a Which is the second smallest value? (a) 1.3 (b) 1 (c) 0.2 (d) -0.01 c What is the biggest value in 16/5, -2, -0.2, 4, -0.39? 4 Which is the fourth biggest value? (a) -0.2 (b) 2/7 (c) 2 (d) 0.2 (e) 4 d Which is the second smallest value? (a) 2/5 (b) -13 (c) 1/3 (d) -3/5 d Which is the second biggest value? (a) 8 (b) -5 (c) -1/6 (d) 3/2 d Which is the fourth smallest value? (a) -4 (b) 1/246 (c) -1 (d) -0.2 (e) 2/7 b Which is the third biggest value? (a) -27 (b) -0.1 (c) -4 a What is the second biggest value in -2, -4, -3, -0.477? -2 What is the third biggest value in 2/7, -2/33, 0.6, 2, 1? 0.6 What is the fourth biggest value in -993, -0.5, 0.3, 4? -993 Which is the fourth biggest value? (a) -3 (b) -4/21 (c) 1/5 (d) 1 a What is the third smallest value in 1, -3/5, -2/19, 2? 1 What is the third biggest value in 3/4, -0.2, -1/34? -0.2 What is the third smalles
{ "pile_set_name": "DM Mathematics" }