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
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37, 71, 2371
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2, 76341893
What are the prime factors of 486733262?
2, 113, 193, 11159
What are the prime factors of 620515438?
2, 310257719
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2, 3, 179, 853
What are the prime factors of 145394739?
3, 7, 43, 191, 281
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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
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3, 3151639
List the prime factors of 26327152.
2, 17, 151, 641
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13, 59, 1443913
List the prime factors of 134052077.
134052077
What are the prime factors of 115673598?
2, 3, 6426311
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2, 3, 19, 31, 293
List the prime factors of 5163842325.
3, 5, 19, 1223, 2963
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5, 7603997
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2, 17, 31, 1054667
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269, 159311
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5, 239, 15383
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2, 11, 17, 266801
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2, 3, 42938339
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1039, 45613
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5, 2539, 253769
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2, 3, 223, 691, 727
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3, 23819519
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5, 587, 13907
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3, 1213, 182933
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2, 89, 577, 643
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2, 13, 2652151
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2, 4603, 69877
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2, 3, 200713
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5, 17, 2486153
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3, 11, 151, 27997
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19, 377537
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2, 1323645493
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2, 3, 2027, 224299
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2, 36232727
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3, 37, 47, 103, 2549
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2, 25776379
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5, 211, 153191
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2, 5, 17, 73, 6899
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2, 211, 1143601
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3, 27082729
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2, 11, 13, 2948951
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137573321
List the prime factors of 1232295920.
2, 5, 19, 683, 1187
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19, 67, 337, 1319
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2, 3, 17, 73, 167, 641
List the prime factors of 4228189718.
2, 2114094859
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2, 3, 4721, 73709
List the prime factors of 2300916161.
47, 59, 829757
List the prime factors of 38934745.
5, 23, 338563
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113, 413033
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3, 5, 13, 17, 29, 83
List the prime factors of 154226745.
3, 5, 241, 14221
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7, 67, 653, 3037
List the prime factors of 3863500861.
11, 351227351
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3, 421, 139609
List the prime factors of 1105332393.
3, 11, 33494921
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2, 7, 2069, 5791
List the prime factors of 115937186.
2, 29, 1998917
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2, 17, 79, 139, 1439
List the prime factors of 317208594.
2, 3, 23, 2298613
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2, 61, 313, 8599
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5, 11, 13, 29, 31, 1129
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11, 127, 97847
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3, 7219, 20107
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2, 3, 7, 41, 3209
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11, 19, 97, 7529
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2, 7, 43, 1310063
List the prime factors of 317026576.
2, 557, 35573
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3, 11, 251, 4049
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2, 3389, 3943
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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
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-434538
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-100216
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-1773069
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-1944085
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176
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7454
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-144324
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-31889
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109816
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48530
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7746846
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469720
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137853
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-1362332
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37623
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-365538
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-343411
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2228910
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-22057
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-1102493
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147409
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-1041521
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1457560
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-8947849
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638592
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618581
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211002
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116208
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-17950611
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114499
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10452
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6689234
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-68949443
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156158
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-3784
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-71807552
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-54519
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1535328
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273047
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27955
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-9828
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-4719
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8078
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160340
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-18608
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22232
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31731
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-73835534
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-14378
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-33101
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-3070345
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-7253
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-23738
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179359851
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37305
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4848
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-14979879
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-1486
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-200060
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149990
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-21860
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133887
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-73488268
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449669
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-80042266
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8339099
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596358609
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2033
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30068
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-701638
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-3564155
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827
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-4602
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169332
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155528
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796844
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18170909
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-11110853
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-558083505
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-17876
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-775335
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-30917
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-31553680
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6104
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201897
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-239769
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-1136019
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268594
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-463020
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-2958387
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9530
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29071
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-356430
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7104
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155435
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-206752
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27983645
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120362
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10490481
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-34980934
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-783708
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14214
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-6177942
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73643
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15302784
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-5712278
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67185
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-40715206
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-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"
} |
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