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*4/12 - q**3 + 2*q**2 - 7*q. Let d be o(6). Solve 5*k = -x + 2, d*k - 5*k = -v*x - 16 for k.
1
Let u be -5 + (-12)/(-10)*360/16. Solve f + 8 - u = 3*o, 0 = -4*o - f - 14 for o.
-4
Let l be ((-10)/(-35))/((-3)/(-21)). Suppose 15 = l*v - 7*v. Let z be 2 + 3 + 6 + v. Solve -3*a = -7*a + 2*g - z, a - 7 = 5*g for a.
-3
Let b be 27 + 3/((-6)/(-8)). Solve 0 = -3*v - 12, -4*v = 2*i + 3*i + b for i.
-3
Let p = -3 + 8. Let d = -563 + 571. Solve 2*u - p*u = v + d, -4*v + u + 20 = 0 for v.
4
Let d(x) = 2*x**3 + 36*x**2 - 2*x - 29. Let y be d(-18). Solve 0 = -y*p + 2*p - b + 4, 3*b - 12 = -3*p for p.
0
Let i(f) = -3*f - 4. Suppose 0*m + 2*m = -4. Let u be i(m). Solve -4*q + 0*a - u = a, 0 = -2*q + 2*a + 4 for q.
0
Suppose -2*s = -2*h, -5*h = 4*s - 33 + 6. Suppose z + k - 33 = -s*z, z + 4*k = 27. Suppose -3*p - 16 = -z*p. Solve 0 = m - 0*m - 5*q + 12, -p*q = 4*m for m.
-2
Let l(a) = -a**3 - 5*a - 15. Let h be l(-2). Let m = -13 - -28. Solve 3*z = -z + h*c + 23, -4*z - 5*c = -m for z.
5
Suppose 5*n + 3*x = -14 + 1, -5*n + 2*x - 8 = 0. Let a be 3/((n*4/(-8))/1). Solve 3 - 2 = -2*u + 3*h, -4*u - 11 = -a*h for u.
-5
Let s = 67 + -40. Suppose -u = -5*x + 104, -3*u + 135 = 5*x + s. Solve -5*a - x + 0 = -4*o, 2*o = -5*a + 3 for o.
4
Let q = -44 - -47. Suppose q = -c + u, -4*c + 26 = -c + 4*u. Solve 2*t - 3*z + 3 = 0, 4*t - c*z + 3 = -7 for t.
-3
Suppose 4*r - 14 = 2*m, -r + 2*m = 4*r - 17. Solve -7*x + 5*x = r*l + 22, 2*l + 23 = -3*x for l.
-4
Let t(j) = -6 + 1 - 20*j + 29*j. Let d be t(2). Suppose 5*p = d + 2. Solve -3*i - i - p*o - 1 = 0, -5*i = o + 4 for i.
-1
Let t be 54/10 + (-24)/60. Let l = t - 1. Solve 5*z + 25 = -l*m, -m + 0*z = -5*z for m.
-5
Let q be (-18)/(-15) + (-12)/10. Solve q = 3*g + 2*i, -g = 3*i - 6*i - 11 for g.
2
Let p = -993 - -993. Solve -2*m + 5*b - 24 = p, 4*m = -b - 4 - 0 for m.
-2
Let g(b) be the third derivative of b**5/60 + 5*b**4/12 - 19*b**3/6 + 12*b**2. Let l be g(-12). Solve 5*q + 6 = 2*r, -12 = -0*r + l*r + q for r.
-2
Let f(h) = h**2 + 10*h - 8. Let q be f(-11). Suppose -120 = q*m + 2*m. Let r be m/20*20/(-6). Solve r*x - 3*a + 4 = -a, a = 5*x + 5 for x.
-1
Let j(l) be the third derivative of l**5/30 - l**4/8 - l**3/6 - 40*l**2. Let c be j(-2). Solve -3*f = -5*f - 3*o + c, 3*f = 4*o + 11 for f.
5
Let z be (-4 + 2)/2 + 4. Suppose -u = z*u. Solve -5*n - 20 = 5*i, 2*n + 2*n - i - 9 = u for n.
1
Suppose 2*k + 18 = 2*t - 0*k, 8 = -3*t - 4*k. Let s be 10/t*156/65. Suppose -s*u = -4*u - 6. Solve 9 = u*n, -4*n + 16 = -2*f - 0*n for f.
-2
Let b(t) = -2*t - 9. Let a be (3/(2 - -4))/((-3)/36). Let q be b(a). Solve -15 = 5*d - 5*j, d - q*j + 8 = -d for d.
-1
Let i(x) = x**2 - 46*x + 398. Let o be i(11). Solve -22 = 2*r + 4*v, 5*r + 3*v + 14 + o = 0 for r.
-3
Let v(a) = -a**3 + 43*a**2 - 43*a + 46. Let x be v(42). Solve 0 = x*n - 5*h - 16, 3*h = n + 2*h - 4 for n.
4
Let k = 53 - 29. Suppose -v = -7*v + k. Solve -v*n + z = -z - 16, -5*n - 5*z + 20 = 0 for n.
4
Let t be (((-36)/8)/3 - 0)*-2. Suppose -t*v + 6 = -v. Suppose 27 - 2 = c. Solve 5*r = 5*x - c, -4*x = -v*x - 1 for r.
-4
Let y = -129 + 131. Solve h - 6 = -3*x, 0*h + 3*h = -y*x + 11 for h.
3
Let a = 299 + -297. Solve -3*x = 4*n - 24, -3*n + 7 = -2*x + a*n for x.
4
Let u be (-68)/(-85) + (-2)/(-10) - -1. Solve 21 = 5*l - 4*t + u*t, -2*l - 9 = 5*t for l.
3
Suppose 3*d - 159 = -5*n - 24, 2*n - 33 = 3*d. Let w be ((-6)/8)/(((-18)/n)/3). Solve -6 = 5*v - w*j, v = -3*v + 2*j - 6 for v.
-3
Let a be ((-18)/4)/((-90)/24 - -3). Let t(w) = w**3 - 5*w**2 - 3*w - 14. Let h be t(a). Solve -c - 1 - 4 = 0, f = h*c + 21 for f.
1
Suppose 3*w - 49 = -13. Suppose 0 = -5*j - 2*g - 0*g + w, 5*g + 4 = -4*j. Solve -c + 14 = -j*q + 6, 2*c - 8 = 0 for q.
-1
Let t = -3 + 15. Let f = -1132 - -1160. Solve -2*o + o - t = 2*w, -2*o = 5*w + f for w.
-4
Suppose -7*z + 2*z = 0. Let b(d) be the second derivative of -d**5/20 - d**4/4 + d**2 + 18*
|
{
"pile_set_name": "DM Mathematics"
}
|
2, -473, -488, -459, -368, -197?
3*s**3 - 23*s**2 + 9*s - 333
What is the z'th term of -251867, -503765, -755663, -1007561, -1259459, -1511357?
-251898*z + 31
What is the b'th term of 138595, 138554, 138507, 138454?
-3*b**2 - 32*b + 138630
What is the w'th term of -4221, -10295, -16369, -22443, -28517, -34591?
-6074*w + 1853
What is the x'th term of 1309, 5209, 11693, 20743, 32341, 46469, 63109, 82243?
-3*x**3 + 1310*x**2 - 9*x + 11
What is the y'th term of 2933874, 2933892, 2933910, 2933928, 2933946, 2933964?
18*y + 2933856
What is the l'th term of -2740, -2784, -2768, -2662, -2436, -2060, -1504, -738?
5*l**3 - 79*l - 2666
What is the m'th term of -115107, -460410, -1035915, -1841622, -2877531, -4143642, -5639955?
-115101*m**2 - 6
What is the n'th term of 2011, 3889, 5641, 7267, 8767, 10141?
-63*n**2 + 2067*n + 7
What is the p'th term of -150226, -150456, -150688, -150922?
-p**2 - 227*p - 149998
What is the a'th term of 39615, 155360, 348277, 618372, 965651, 1390120, 1891785?
a**3 + 38580*a**2 - 2*a + 1036
What is the p'th term of 46653, 46351, 46045, 45735, 45421, 45103, 44781?
-2*p**2 - 296*p + 46951
What is the i'th term of 224278, 448788, 673532, 898510, 1123722?
117*i**2 + 224159*i + 2
What is the x'th term of 1693, 3314, 4929, 6532, 8117, 9678, 11209?
-x**3 + 3*x**2 + 1619*x + 72
What is the d'th term of -931941, -1863881, -2795821?
-931940*d - 1
What is the g'th term of 438244, 876461, 1314678, 1752895, 2191112, 2629329?
438217*g + 27
What is the j'th term of -349, -2839, -9619, -22837, -44641, -77179, -122599, -183049?
-358*j**3 + 3*j**2 + 7*j - 1
What is the f'th term of -429030, -429887, -430744, -431601?
-857*f - 428173
What is the t'th term of 2427694, 4855387, 7283080, 9710773, 12138466?
2427693*t + 1
What is the c'th term of 12186897, 24373792, 36560687, 48747582?
12186895*c + 2
What is the y'th term of -413565, -826806, -1240023, -1653210, -2066361?
y**3 + 6*y**2 - 413266*y - 306
What is the b'th term of -3420950, -6841896, -10262842, -13683788, -17104734, -20525680?
-3420946*b - 4
What is the i'th term of 1764963, 1764967, 1764973, 1764981, 1764991?
i**2 + i + 1764961
What is the g'th term of -1833454, -1833120, -1832786?
334*g - 1833788
What is the j'th term of 559, 4722, 16073, 38206, 74715, 129194?
599*j**3 - 30*j - 10
What is the p'th term of -7561, -7057, -6553, -6049?
504*p - 8065
What is the z'th term of 66116, 132117, 198120, 264125, 330132, 396141, 462152?
z**2 + 65998*z + 117
What is the r'th term of 108330, 108352, 108388, 108438, 108502?
7*r**2 + r + 108322
What is the v'th term of -3513, -2986, -2101, -858, 743?
179*v**2 - 10*v - 3682
What is the r'th term of -508247, -508468, -508693, -508922?
-2*r**2 - 215*r - 508030
What is the b'th term of -749587, -2998219, -6745941, -11992753, -18738655?
-749545*b**2 + 3*b - 45
What is the l'th term of -2805594, -5611005, -8416418, -11221833?
-l**2 - 2805408*l - 185
What is the k'th term of -7972154, -7972151, -7972148?
3*k - 7972157
What is the s'th term of 56620553, 56620552, 56620551, 56620550, 56620549, 56620548?
-s + 56620554
What is the v'th term of 43115166, 43115165, 43115174, 43115199, 43115246, 43115321, 43115430?
v**3 - v**2 - 5*v + 43115171
What is the n'th term of 4699, 4773, 4847, 4921, 4995, 5069?
74*n + 4625
What is the r'th term of 136194276, 136194277, 136194278, 136194279?
r + 136194275
What is the z'th term of 9739, 12214, 14693, 17176?
2*z**2 + 2469*z + 7268
What is the k'th term of -25544, -26399, -27254?
-855*k - 24689
What is the m'th term of -1667, -5872, -12627, -21926, -33763, -48132, -65027?
m**3 - 1281*m**2 - 369*m - 18
What is the r'th term of 220039, 444370, 668687, 892984, 1117255, 1341494, 1565695, 1789852?
-r**3 - r**2 + 224341*r - 4300
What is the l'th term of -936, -3799, -8572, -15255, -23848, -34351?
-955*l**2 + 2*l + 17
What is the x'th term of -2978856, -5957728, -8936598, -11915466, -14894332, -17873196, -20852058?
x**2 - 2978875*x + 18
What is the x'th term of 58454, 233960, 526468, 935972, 1462466, 2105944, 2866400, 3743828?
-x**3 + 58507*x**2 - 8*x - 44
What is the m'th term of 1269, 6798, 21787, 50964, 99057, 170794, 270903?
788*m**3 + 2*m**2 + 7*m + 472
What is the p'th term of 1240736, 1240736, 1240734, 1240730, 1240724?
-p**2 + 3*p + 1240734
What is the y'th term of 366242, 732659, 1099076, 1465493, 1831910, 2198327?
366417*y - 175
What is the d'th term of 52141, 52054, 51967, 518
|
{
"pile_set_name": "DM Mathematics"
}
|
1
Let f = -6166 + 3504. Suppose 5*r + 8 = -2*z + z, 5*z + 5*r = 0. Let l be f/(-7) + z/(-7). What is l rounded to the nearest one hundred?
400
Let c(f) = 1621*f - 3. Let u be c(2). Suppose 3*l - 1111 = u. Round l to the nearest one hundred.
1500
Let c = 202 + -112. Round c to the nearest 100.
100
Let h = 0.04 + -5.04. Let f = -6.83 - h. What is f rounded to 1 dp?
-1.8
Let k = -0.06100554 - -0.061. Round k to six decimal places.
-0.000006
Let k = -405 - -405.0000213. What is k rounded to 6 dps?
0.000021
Let p = 15 + 3. Let i = p - 18.00066. What is i rounded to 4 decimal places?
-0.0007
Let q = 4680.070018 - 4679.27. Let c = 15.8 - 15. Let o = c - q. What is o rounded to 5 dps?
-0.00002
Let x = 43.6 - -10.4. Let j = -6241.372471 - -6187.3725. Let k = x + j. Round k to 5 decimal places.
0.00003
Let n = 0.036 - 52.036. Let g = n + 51.14. Let f = g - -0.16. What is f rounded to zero decimal places?
-1
Let j = -3.875 + 3.7. What is j rounded to two dps?
-0.18
Let a = -497.91 + 500. Let g = a + 0.31. Let v = 2.40000085 - g. What is v rounded to seven decimal places?
0.0000009
Let m = 1162367 - 676367. Round m to the nearest one hundred thousand.
500000
Let g = -1.03000165 - -1.03. What is g rounded to seven decimal places?
-0.0000017
Let s be 2*(3/(-3) + 4). Let t be 65/(-2)*(2 - s). What is t rounded to the nearest 100?
100
Let t = 4 + 2. Let m = -81129 + 81135.0001. Let o = m - t. What is o rounded to 4 dps?
0.0001
Let w(i) = -3*i - 2. Let c be w(-4). Let k = c - 4. Suppose -u + 551 = -z, 0 = -3*z + k*z + 2*u + 1648. What is z rounded to the nearest 100?
-600
Suppose 2*x = -108217 + 644257. Suppose -2*v + 1699996 = -5*i, -3*i + 5*v - 751970 = x. Round i to the nearest 100000.
-300000
Let b = -5 - 0. Let d = -5 - b. Suppose 4*i - 2*i - 13200 = d. Round i to the nearest 1000.
7000
Let b = 43 - 43. Round b to the nearest one million.
0
Let b = -4.150501 + 100578.130501. Let t = -100573.77000055 + b. Let p = t - 0.21. What is p rounded to 7 dps?
-0.0000006
Let y = -127 + 142.4. What is y rounded to 0 decimal places?
15
Let w(i) = -2*i - 168000. Let y be -2 - (1 - (-2 + 5)). Let l be w(y). Round l to the nearest ten thousand.
-170000
Let i = 92.0000148 - 92. What is i rounded to 6 decimal places?
0.000015
Let g = 1590 + -1590.723. What is g rounded to one dp?
-0.7
Let g = -1.37 + 2.16. Let b = -0.75 - -0.05. Let m = g + b. What is m rounded to one decimal place?
0.1
Let z = -193374 + 69698. Let k = -123675.599974 - z. Let q = -0.4 + k. What is q rounded to 5 dps?
0.00003
Let m = 1.097913 + -1.12391354. Let n = m + 0.026. Round n to 7 dps.
-0.0000005
Let m = 94.99999665 + -95. What is m rounded to seven dps?
-0.0000034
Let h = 3850 - 4164.3. Let u = -335 - h. What is u rounded to the nearest integer?
-21
Suppose 3*i - 3*d + 0 + 18 = 0, d + 14 = -i. Let m be 72/i - 4/(-20). Let n(t) = 6*t**2 - t + 9. Let j be n(m). Round j to the nearest one hundred.
300
Let t = -3.05 + -3.79. Round t to 1 dp.
-6.8
Let p = 1659086.8982 - 271406.4952. Let t = p + -1387672.40300033. Let a = t - 8. Round a to seven dps.
-0.0000003
Let c = 13 - 13. Suppose 0 = -2*m + w + 40200, c*m + 2*w = 5*m - 100500. Round m to the nearest 1000.
20000
Let t = -326534 - -326530.80214. Let r = t + 3.2. Round r to four dps.
0.0021
Suppose 3*a + 5638 = 26038. What is a rounded to the nearest one thousand?
7000
Let l = 6793 - 7153.1. Let n = l + 322. Let f = n + 34. Round f to the nearest integer.
-4
Let n = -4.04 - -0.04. Let m = n + 3.9. Let k = 0.0999985 + m. What is k rounded to 6 dps?
-0.000002
Let j be -460 + (-1 - 8/4). Let f = 1057 - j. What is f rounded to the nearest one hundred?
1500
Let f = 7 - 3. Let q = -0.9 - 3.115. Let m = q + f. Round m to three decimal places.
-0.015
Let k = 0.1 + -0.100064. What is k rounded to five dps?
-0.00006
Let d = 113 - 113.81. Round d to one dp.
-0.8
Suppose -2*x = -5*x - 2*u + 3, -5*x + u + 18 = 0. Suppose 0*m + 4219996 = 2*m. Let r be -1 + 0 + x + m. Round r to the nearest one hundred thousand.
2100000
Let i = 7108.25600979 - 7070.25601. Let c = -2.9 + 40.9. Let h = c - i. What is h rounded to seven decimal places?
0.0000002
Let d = -16 + 59. Let g = 108137476 + -108137433.0000047. Let r = d - g. What is r rounded to six dps?
0.000005
Let k = 80.761864 + -137.761927. Let h = 57 + k. What is h rounded to five dps?
-0.00006
Let b = -64.921 + -0.079. Let r = b - -64.999922. What is r rounded to five dps?
-0.00008
Suppose -5*w + h + 4465644 = 82965648, h = 4. What is w rounded to the nearest 1000000?
-16000000
Let r = -0.097 + 0.166. Let f = 0.06 - r. What is f rounded to 3 decimal places?
-0.009
Let p = -17100 - -17100.074232. Let h = p + -3.073932. Let a = h + 3. Round a to four dps.
0.0003
Suppose -4*o + 18 = 6. Suppose o*p + 201341706 = -5*y - 0*p, 3*y + 4*p = -120805028. Let a = y + 28668340. Round a to the nearest 1000000.
-12000000
Let v = -5.41 + -0.69. What is v rounded to 0 decimal places?
-6
Let q(s) = 31200*s**3 + 2*s
|
{
"pile_set_name": "DM Mathematics"
}
|
es are there in 19/4 of a litre?
4750
What is 6064.723 micrometers in kilometers?
0.000006064723
How many meters are there in three fifths of a kilometer?
600
What is 4.549252ml in litres?
0.004549252
How many microseconds are there in 2/125 of a second?
16000
What is 339.976ug in kilograms?
0.000000339976
How many micrometers are there in seven sixteenths of a centimeter?
4375
How many milligrams are there in 0.108177kg?
108177
How many micrometers are there in 13/5 of a centimeter?
26000
Convert 1404.6246 months to millennia.
0.11705205
How many years are there in six fifths of a millennium?
1200
How many litres are there in 187.3545 millilitres?
0.1873545
How many nanoseconds are there in 9659.462 minutes?
579567720000000
How many nanoseconds are there in 769.4662 hours?
2770078320000000
What is 9.504214 nanograms in tonnes?
0.000000000000009504214
How many centimeters are there in fifteen quarters of a meter?
375
What is 1/4 of a litre in millilitres?
250
Convert 161.8056216ms to weeks.
0.00000026753575
How many months are there in one quarter of a century?
300
What is seven eighths of a milligram in micrograms?
875
How many nanoseconds are there in fifteen quarters of a microsecond?
3750
What is 43/2 of a millennium in years?
21500
How many minutes are there in nine tenths of a week?
9072
What is 4527.598kg in grams?
4527598
What is 201.1017 years in centuries?
2.011017
How many millilitres are there in eleven halves of a litre?
5500
What is 3.837845l in millilitres?
3837.845
What is 938597.5ml in litres?
938.5975
Convert 4628.381 nanograms to tonnes.
0.000000000004628381
How many millilitres are there in three tenths of a litre?
300
How many nanoseconds are there in 219.9397 days?
19002790080000000
How many micrometers are there in seventeen tenths of a millimeter?
1700
Convert 3770.438 years to millennia.
3.770438
Convert 43091.4 centimeters to kilometers.
0.430914
How many litres are there in 840.407 millilitres?
0.840407
How many years are there in 3/50 of a millennium?
60
What is 96.84 minutes in days?
0.06725
How many years are there in 57/2 of a decade?
285
What is 1.452736us in seconds?
0.000001452736
What is 41/2 of a gram in milligrams?
20500
What is 0.944587km in millimeters?
944587
Convert 809.613 nanometers to kilometers.
0.000000000809613
How many minutes are there in 2.128445 days?
3064.9608
What is 57068.4 years in millennia?
57.0684
What is three eighths of a litre in millilitres?
375
How many millilitres are there in nine tenths of a litre?
900
What is 0.7391856m in millimeters?
739.1856
What is 11/8 of a litre in millilitres?
1375
What is 3102.051 centuries in months?
3722461.2
Convert 7.242229 nanometers to micrometers.
0.007242229
How many litres are there in 1425.818ml?
1.425818
What is 836.7533 kilograms in micrograms?
836753300000
What is 1/4 of a week in minutes?
2520
How many nanoseconds are there in 1.404899us?
1404.899
What is 0.9690536 hours in seconds?
3488.59296
What is 49/5 of a century in decades?
98
How many months are there in seventeen sixths of a century?
3400
What is 1/6 of a minute in milliseconds?
10000
How many years are there in 96664.41 centuries?
9666441
How many milliseconds are there in 7/4 of a second?
1750
What is six fifths of a centimeter in micrometers?
12000
How many nanometers are there in twenty-one eighths of a micrometer?
2625
What is 1/10 of a microsecond in nanoseconds?
100
What is fifty-one quarters of a century in months?
15300
Convert 27394.74 millilitres to litres.
27.39474
How many seconds are there in two fifteenths of a day?
11520
How many millimeters are there in 6/5 of a meter?
1200
How many millilitres are there in 13/5 of a litre?
2600
How many centimeters are there in 79/2 of a meter?
3950
How many micrograms are there in 65985.17 milligrams?
65985170
How many minutes are there in 113.46237us?
0.0000018910395
How many decades are there in twenty-one fifths of a century?
42
How many micrograms are there in 82.3045 nanograms?
0.0823045
How many minutes are there in three tenths of a day?
432
How many seconds are there in 5/6 of a hour?
3000
What is 17/2 of a meter in centimeters?
850
What is 0.4983285 milliseconds in microseconds?
498.3285
What is three fifths of a litre in millilitres?
600
What is seven eighths of a milligram in micrograms?
875
What is 9/10 of a meter in centimeters?
90
What is 3/8 of a millennium in years?
375
What is 29/2 of a century in decades?
145
How many kilograms are there in thirty-two fifths of a tonne?
6400
What is 1396.0674 seconds in hours?
0.3877965
What is 25.2996 seconds in milliseconds?
25299.6
How many millilitres are there in thirteen fifths of a litre?
2600
What is three tenths of a minute in seconds?
18
What is 3/50 of a litre in millilitres?
60
What is 3/5 of a centimeter in micrometers?
6000
How many minutes are there in three eighths of a day?
540
How many millilitres are there in 151264.8 litres?
151264800
What is one fifth of a litre in millilitres?
200
How many meters are there in 809.6102 nanometers?
0.0000008096102
How many hours are there in 3/7 of a week?
72
What is 9/10 of a decade in months?
108
What is 6/5 of a millennium in years?
1200
Convert 788.5737 days to microseconds.
68132767680000
How many nanograms are there in twenty-nine halves of a microgram?
14500
What is twenty-seven halves of a centimeter in millimeters?
135
What is three fifths of a centimeter in micrometers?
6000
How many millilitres are there in six fifths of a litre?
1200
How many months are there in 7/8 of a century?
1050
Convert 69.25001 millilitres to litres.
0.06925001
How many micrometers are there in 3/50 of a centimeter?
600
How many millilitres are there in 2/125 of a litre?
16
What is 0.6925787 years in months?
8.3109444
What is 7/25 of a meter in centimeters?
28
How many seconds are there in 2/27 of a day?
6400
How many millimeters are there in 51/5 of a centimeter?
102
Convert 68517.67mg to grams.
68.51767
How many months are there in fifty-two thirds of a year?
208
How many millimeters are there in seven halves of a meter?
3500
How many seconds are there in ten thirds of a hour?
12000
What is 5/6 of a week in minutes?
8400
How many millilitres are there in eleven halves of a litre?
5500
How many micrometers are there in one tenth of a centimeter?
1000
What is 93514.65 centuries in months?
112217580
How many millilitres are there in fifty-seven fifths of a litre?
11400
What is 8.462824ml in litres?
0.008462824
How many micrograms are there in 56.19687mg?
|
{
"pile_set_name": "DM Mathematics"
}
|
What is the biggest value in 0.4, -17, -95/9084?
0.4
What is the sixth biggest value in 8/7, -45, 0, -0.2, 335, -3?
-45
Which is the fifth smallest value? (a) -0.01 (b) 23/54 (c) 17 (d) -6 (e) 3
c
Which is the second biggest value? (a) 1/5 (b) -0.3382 (c) 1 (d) -13 (e) 43
c
Which is the second smallest value? (a) -5 (b) -0.1 (c) 2404911
b
What is the biggest value in -697/117, -2/9, -3?
-2/9
Which is the second smallest value? (a) 2/15 (b) -35 (c) 16 (d) -3 (e) 5 (f) 0
d
What is the fourth smallest value in 94621, -2/3, -4, -0.3, -2/7?
-2/7
What is the biggest value in 3693477, -0.5, 16/3?
3693477
Which is the fourth smallest value? (a) -3 (b) -5 (c) 2561046 (d) 3/4
c
What is the fourth biggest value in -1/10, 230, 380, 3, -2/17, 2/3, 0.2?
2/3
What is the smallest value in -0.274885, -160, -4?
-160
Which is the fourth smallest value? (a) 0 (b) -0.2 (c) -13 (d) -1472 (e) 17/2 (f) 3 (g) 1
a
What is the fourth biggest value in 2/11, -4/747, -95, -0.5, -2, 1/7, -1?
-0.5
What is the fourth smallest value in -2/43, 1.246, 4, 0.03?
4
What is the sixth biggest value in 9, 0.5, -7.6, 2/7, -0.1, -0.5, 268?
-0.5
Which is the second biggest value? (a) -1 (b) 0.2 (c) -3.78 (d) -0.26282
d
What is the sixth biggest value in 6/5, 0.3, 2, -5, -7, -0.7, 166?
-5
What is the second smallest value in -0.65801, -7/26, 1?
-7/26
What is the seventh smallest value in -2, 0.1, 19048, 2, -2/15, -2/13, -5/7?
19048
Which is the third biggest value? (a) 1/39 (b) -1 (c) -1/3 (d) -80 (e) 5 (f) 1/4 (g) 7/78
g
What is the fourth biggest value in 4, -5, 1/4, 4741622?
-5
What is the third smallest value in -0.4, 0.11675, 172?
172
Which is the third smallest value? (a) 2/1717 (b) -0.81 (c) 0.2 (d) -0.058
a
What is the fifth smallest value in -192.2, 13, 0.3, -7, 2?
13
Which is the biggest value? (a) -4 (b) 5.765 (c) -11.4
b
What is the sixth smallest value in 0.1, -0.2, 6, -1.362, -4, 1/5?
6
Which is the fifth biggest value? (a) 2/13 (b) 3/14 (c) 6 (d) 21/38 (e) 25
a
Which is the third biggest value? (a) 22/7 (b) 0.4 (c) 8015 (d) 5
a
What is the fifth biggest value in 2, -83/5, -1.6, 6, -0.6, -2, -3?
-2
What is the biggest value in -23, 1, -820, -7/6?
1
Which is the biggest value? (a) 1689.6 (b) -245 (c) 0.1 (d) -3
a
Which is the third biggest value? (a) 1/3 (b) 2 (c) 372 (d) 6090 (e) -3 (f) 4/3
b
What is the fourth smallest value in 563, 12, 3/2, -0.246, 3?
12
Which is the fourth biggest value? (a) 3 (b) -28 (c) 1/284 (d) 5 (e) -30 (f) -3
f
What is the fifth biggest value in 13, 105, 1, 0.2, 1.5?
0.2
What is the second biggest value in -2156, 0.07, -6/11, 529?
0.07
Which is the biggest value? (a) 10 (b) -4 (c) 1 (d) -1.28 (e) 9/2
a
Which is the third biggest value? (a) 2/21 (b) 4 (c) -4 (d) 19889
a
Which is the third biggest value? (a) -6 (b) -30 (c) -15 (d) 11/10
c
What is the third biggest value in 0.1, 5, 340/11?
0.1
Which is the sixth smallest value? (a) -5 (b) -0.0014 (c) -0.2 (d) 21 (e) -2 (f) -0.4
d
Which is the third biggest value? (a) -1 (b) -18589158 (c) 2/5
b
Which is the second smallest value? (a) 0.2 (b) 0.5 (c) 7 (d) -28.15 (e) -0.05 (f) 0.021
e
Which is the second smallest value? (a) -74.76 (b) 1/3 (c) 0 (d) -5 (e) -4 (f) -69
f
What is the third smallest value in 17, -0.58, -0.5, -0.948, 2/7?
-0.5
What is the third smallest value in 67, 3, 1587555?
1587555
What is the sixth biggest value in 2, 2/3, 11, 39, -1, -9, 1/2?
-1
What is the third biggest value in 15, 6308, 2/127?
2/127
What is the sixth smallest value in 0.5, -23, 6, -2/9, 1, 658, 2/7?
6
What is the third smallest value in 69, -3, -2, 2, -0.4, 2/3, 0.099?
-0.4
What is the fifth smallest value in -6, -5, 2/17, 188, 6/41?
188
What is the fourth biggest value in -24, 0, -2170/3, 5?
-2170/3
Which is the third biggest value? (a) -2 (b) 0 (c) 135234229
a
Which is the smallest value? (a) 92 (b) -60 (c) 1 (d) -1/4 (e) -2 (f) -3/70
b
Which is the biggest value? (a) -0.1 (b) 0 (c) 0.4 (d) 1 (e) -0.15725 (f) -222
d
Which is the third smallest value? (a) -0.11 (b) 2/2166341 (c) 1/5 (d) -0.3
b
Which is the second biggest value? (a) 20 (b) -43 (c) -1/6 (d) 0 (e) 96 (f) -2
a
Which is the second biggest value? (a) 1.704 (b) 0.5 (c) -0.02 (d) -172
|
{
"pile_set_name": "DM Mathematics"
}
|
7*d**2 + 10*d**4 + 234/7*d**3 - 2/7*d**5 = 0.
-3, -2, 1, 38
Let j(p) = p**2 + 3*p - 61. Let n be j(-10). Suppose 0 = 3*k + 7*u - 4*u - 12, n = 2*k + 3*u. Let 0 + 0*g + g**2 - 3/2*g**k = 0. What is g?
0, 2/3
Let s be 7690/(-3076)*44/(-10). Suppose 29/3*p**2 - s*p**3 - 3 - 40/3*p**4 + 17/3*p - 4/3*p**5 = 0. What is p?
-9, -1, 1/2
Let d(z) be the first derivative of z**4/6 + 206*z**3/9 + 2600*z**2/3 - 5408*z/3 - 665. Factor d(o).
2*(o - 1)*(o + 52)**2/3
Let s(q) be the third derivative of -q**5/420 - 109*q**4/84 - 31*q**3/6 - 2174*q**2. Factor s(h).
-(h + 1)*(h + 217)/7
Let u(c) be the third derivative of -c**6/24 + 35*c**5/3 - 2065*c**4/24 + 685*c**3/3 - 5*c**2 - 113. Determine g so that u(g) = 0.
1, 2, 137
Determine o so that -31*o + 7849 + 2135 - 542*o - 21*o**2 + 3*o**3 + 93*o - 36*o**2 = 0.
-13, 16
Let q(l) be the second derivative of -105*l + 0 - 320/3*l**3 + 5/12*l**4 + 10240*l**2. Factor q(w).
5*(w - 64)**2
Let p(r) = r**2 - r. Let b(j) = -2*j**2 - 20 + 57*j - 5*j**2 - 123*j + 48*j. Suppose -5 = -2*d - 1. Let n(k) = d*p(k) + b(k). Factor n(f).
-5*(f + 2)**2
Let g be (24/(-18))/(-2)*(10 + 35/(-14)). Factor -2/7*s**g + 0 - 64/7*s**2 - 64/7*s**3 - 20/7*s**4 + 0*s.
-2*s**2*(s + 2)*(s + 4)**2/7
Let a = 17/2 + -7. Let l be (7 - 9) + -8 - ((-176)/11 + 4). What is i in 0*i + i**4 + 0 - a*i**5 + i**l + 7/2*i**3 = 0?
-1, -1/3, 0, 2
Let i(r) be the third derivative of -r**5/210 + r**3/21 + 3*r**2 - 31. Determine v, given that i(v) = 0.
-1, 1
Factor 4036*r**2 + 39*r**3 - 11*r**4 - 4117*r**2 + 12*r**4 + 41*r.
r*(r - 1)**2*(r + 41)
Let c = 128612 - 257169/2. Determine g, given that -185*g**3 - 125*g**4 + 1 - c*g - 120*g**2 - 63/2*g**5 = 0.
-1, 2/63
Let y = -662 - -986. Factor -310*x**2 + 5*x**3 + y*x**2 - 53*x + 7 + 3.
(x - 2)*(x + 5)*(5*x - 1)
Factor 552*z + 713 + 1159 + 10*z**2 - 2*z**3 + 18*z**2.
-2*(z - 26)*(z + 6)**2
Let 732*n**3 - 193*n**3 + 31205*n - 790*n**2 - 188*n**3 - 150*n**3 - 196*n**3 = 0. What is n?
0, 79
Let l be (14 - (-20192)/(-1440))/((-2)/6). Let d(j) be the second derivative of 0 - 1/27*j**3 + 31*j + 0*j**2 - 5/54*j**4 + l*j**5. Factor d(c).
2*c*(c - 1)*(6*c + 1)/9
Factor -4/5*r**3 + 616/5*r - 768/5 - 108/5*r**2.
-4*(r - 3)*(r - 2)*(r + 32)/5
Let w = 2603 + -2601. Let h(a) be the first derivative of -48/5*a - 48/5*a**w - 24/5*a**3 - 3/25*a**5 - 6/5*a**4 - 14. Find y, given that h(y) = 0.
-2
Solve -1/5*s**4 - 3/5*s**3 + 15*s + 10 + 23/5*s**2 = 0.
-5, -2, -1, 5
Factor 240/13*g - 2/13*g**2 - 7200/13.
-2*(g - 60)**2/13
Let o(b) = -4*b**2 + 167*b + 1320. Let s(k) = 11*k**2 - 333*k - 2640. Let i(u) = 7*o(u) + 3*s(u). Factor i(v).
5*(v + 12)*(v + 22)
Factor 300*t**3 + 3546*t**4 - 497*t**2 - 162*t**2 - 3549*t**4 - 493*t**2.
-3*t**2*(t - 96)*(t - 4)
Solve 0 + 182/9*x**4 - 1012/9*x**3 - 472/9*x**2 - 16/3*x = 0 for x.
-2/7, -2/13, 0, 6
Let d(u) be the first derivative of 81/14*u**2 - 134 + 6*u - 44/7*u**3 + 9/28*u**4. Find y, given that d(y) = 0.
-1/3, 1, 14
Find j, given that -13*j**3 - 843*j - 1095*j**2 + 180*j**2 + 8*j**3 - 75*j + 8*j**3 = 0.
-1, 0, 306
Factor 6*y + 221*y + y**2 + 133*y - 4*y**2.
-3*y*(y - 120)
Let l = 137127 + -137125. Let 6/7*y**2 - 20/7 - l*y = 0. What is y?
-1, 10/3
Let m(r) be the second derivative of r**5/90 + 11*r**4/9 + 305*r**3/27 - 39*r - 60. Factor m(y).
2*y*(y + 5)*(y + 61)/9
Suppose 4*p = -g + 23, g - 2 = p + 2*p. Suppose g*s**2 + 813*s - 8*s**4 - 3*s**2 - 809*s - 4*s**5 = 0. Calculate s.
-1, 0, 1
Factor -33/2*f - 3/4*f**2 - 63/4.
-3*(f + 1)*(f + 21)/4
What is w in 217/3*w**2 + 145/6*w - 1/2*w**3 + 0 = 0?
-1/3, 0, 145
Suppose -41 = 3*w + 532. Let s = w + 1529/8. Factor -s*g + 1/2 + 1/8*g**3 - 1/2*g**2.
(g - 4)*(g - 1)*(g + 1)/8
Find b such that -2506/3*b - 2/3*b**3 - 920 + 84*b**2 = 0.
-1, 12, 115
Suppose -1514 = -5*i - 1484. Suppose 8*s = 12*s, -2*x = 4*s - i. Factor -2 - 867/2*q**2 - 51*q -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4 = b - 2*c. Let g(r) = r**2 - 5*r + 2. Calculate g(b).
8
Let d(q) = -q**2 - 13*q - 26. Suppose -56*w = -61*w - 3*i - 25, 2*i + 6 = 2*w. Determine d(w).
-4
Let i(l) = l**2 + 2*l + 3. Let j = 54 + -50. Suppose 4*d - 62 = 4*a - 10, 0 = -j*d - 3*a + 52. Suppose 0 = -2*r + 9 - d. Give i(r).
3
Let g(b) = -85*b**2 + 44*b**2 + 40*b**2 + 2*b**3. Suppose 0 = -p - 3*p - 4*r + 584, 294 = 2*p + 3*r. Let s = -145 + p. Calculate g(s).
-3
Let j(t) = 3 - 20*t + t + 3*t**2 + 17*t - 5. Calculate j(2).
6
Let l(r) = 9*r**2 - 29*r + 851. Let t(c) = 5*c**2 - 15*c + 486. Let f(j) = -4*l(j) + 7*t(j). Suppose -39 + 11 = -4*x. Determine f(x).
26
Let k(r) be the first derivative of r**3/3 - 6*r**2 + 16*r + 3. Let t be k(11). Suppose 30 = -t*p - 3*y, 2*p + 2 = -3*y - 10. Let x(i) = i - 1. Give x(p).
-7
Let h(a) = -a**2 - 17*a + 5. Let l be (15 - -3 - 3)*114/(-95). Give h(l).
-13
Let x(a) = 7 - 25717*a - 6 - 3*a**2 + 25713*a. Calculate x(-6).
-83
Let f be (-8)/(((-108)/(-15) - 7)*(-15)/(-9)). Let m(h) = 4*h + 99. Give m(f).
3
Let r(m) be the third derivative of m**6/20 - 11*m**5/60 + m**3/6 + 2187*m**2 + 2. What is r(1)?
-4
Let m = -42 + 45. Suppose m*q + 3*o = -6, -4*o + 13 = -4*q + q. Let p(j) = j**2 + 4*j + 6. Let b be p(q). Let a(v) = v**3 - 2*v**2 - 3*v + 4. Give a(b).
4
Let y(p) be the first derivative of -p - 206. Let g(d) be the second derivative of d**3/2 - 2*d. Let i(q) = g(q) + 4*y(q). What is i(5)?
11
Let v(l) = -2*l**2 + 6*l**2 + l - 2753 - 2581 + 5336. Let a = -1 + -1. Give v(a).
16
Let a(u) = -27*u + 142. Let n be a(5). Let l(z) = 8*z + 20 - 15 - n. Give l(-2).
-18
Let r(l) = -l**3 - l**2 - l + 67. Suppose 0 = -3*w - 20*w - 8*w. Determine r(w).
67
Let b(t) be the first derivative of t**4/2 - 5*t**3/3 - 6*t - 1739. Give b(3).
3
Let c(r) = r**3 + 5*r**2 + 2*r + 4. Suppose 30*b - 43*b + 26 = 0. Suppose 4*z - 8*z - 22 = b*i, 5*z + 28 = -3*i. Calculate c(z).
-6
Let u(t) = t + 26. Let a(f) = 2*f + 33. Let y(b) = -a(b) + u(b). Let i = -23 + 16. What is y(i)?
0
Suppose -20 = -5*r + 5*v, v - 20 = -3*r - 4*v. Let c(w) = -w**2 - 10 + 0*w - r*w + 14*w. Give c(5).
10
Let v(p) = 7*p**2 + 7*p + 6. Let f(q) = 6*q**2 + 7*q + 6. Let y(t) = 6*f(t) - 5*v(t). Suppose 71*d + 315 = 92*d. Suppose -81*g + d = -84*g. Give y(g).
-4
Let q(b) be the third derivative of 0 + 0*b - 1/6*b**3 + 10*b**2 + 1/10*b**6 - 1/60*b**5 - 1/12*b**4. Let c be ((-3)/(-12))/((-13)/52). Calculate q(c).
-12
Let l = 2996 + -2993. Let u(h) = h - 2. Let y be u(4). Let j(c) = y*c**2 + c**2 - c**2 - 1 - 3*c. Give j(l).
8
Let w(f) = -44*f**2 - 2*f**3 + f - 13 + 71*f**2 + 13*f - 2 + 7. Give w(14).
-8
Let z(y) be the second derivative of -y**5/20 - 2*y**4/3 + 11*y**3/6 + 5*y**2 - 523*y. Give z(-8).
-78
Let q(f) = -2*f**2 - 11*f - 62. Let c(t) = 2*t**2 + 10*t + 48. Let d(o) = 4*c(o) + 3*q(o). Suppose -w = 4 + 1. Calculate d(w).
21
Let o be (-2)/(-1*(0 + 1)). Let c(q) = 2*q**o - 3*q + 6*q**2 - q**3 - 4*q. Suppose -1429*b + 546 = -1351*b. Give c(b).
0
Let p(z) be the second derivative of z**5/10 - 17*z**4/2 + 49*z**3/3 + 47*z**2 + 846*z + 3. What is p(50)?
-6
Let j(r) = -r**2 - 4*r + 192*r**3 + 7*r**2 - 5 - 87*r**3 - 104*r**3. Determine j(-4).
43
Let l(f) = f**3 + 7*f**2 - 8*f + 16. Let s = -10739 - -10731. Give l(s).
16
Let a(t) be the third derivative of -t**5/30 + 9*t**4/8 - 25*t**3/3 - 7*t**2 + 2*t + 10. What is a(11)?
5
Suppose -q - 1 = -2. Let j(o) be the second derivative of 7*o**4/6 + o**3/3 - o**2/2 - 1039*o. What is j(q)?
15
Let v(d) = d**3 + 9*d**2 + 14*d - 1. Let q(i) = 14*i - 847. Let x be q(60). Calculate v(x).
-1
Let q(c) = -18*c + 3. Let v(r) = -2*r - 12. Let x(y) = q(y) - 3*v(y). What is x(3)?
3
Let g(w) = 6*w**3 - 4*w - 1. Let r(q) = -5*q**3 + q**2 + 5*q - 1. Let d be 30/(-18) + 51/9. Let k(v) = d*g(v) + 5*r(v). Calculate k(6).
9
Let f(s) = -s**3 - 37*s**2 - 322*s - 941. Let v be f(-26). Suppose -10 - 22 = -4*r. Let d(o) = -4*o**2 + r + 3*o**2 - 3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) u (b) y (c) -3
a
Let r = -20 + 21. Which is the second biggest value? (a) -0.02 (b) r (c) 0
c
Let j = -0.005 - -0.105. What is the fourth smallest value in -2/7, -0.4, -1, j?
j
Let p = -878/7 - -126. Let k = -2 - -1. What is the biggest value in 0, k, p?
p
Let g = -0.7 + 0.8. Suppose 21*c - 24*c = 0. Let r = 3 - 4. What is the second biggest value in c, g, r?
c
Let g = 3 + -0.5. Let k = -3 + g. Let w(v) = -v + 2. Let q be w(4). Which is the third biggest value? (a) -1/3 (b) q (c) k
b
Suppose 0*t + 3*t + 2*x = 25, -5*x = -5*t. Which is the second biggest value? (a) -0.1 (b) 3 (c) t
b
Let y = 35/9 + -4. Let m(d) = d**2 + d - 1. Let p(j) = 3*j**2 + 6*j - 9. Let c(n) = 2*m(n) - p(n). Let i be c(-6). What is the smallest value in i, y, 0.5?
i
Let m = 1.1 - 1. Let a = 0.7 - m. Let s = -0.3 + a. What is the third smallest value in s, 1/2, -4?
1/2
Let u = 2 - 9. Let p = u - -7.1. Let m = -1.7 + 2. What is the second biggest value in m, p, -2/7?
p
Let r = 0.6 + -0.6. Let z = -0.1 - r. Let u = -0.3 - z. Which is the third smallest value? (a) -0.5 (b) 2/11 (c) u
b
Let x = 2/51 - -43/204. Let d be (16/(-6))/(-4)*2. What is the third smallest value in d, -0.2, x?
d
Let f = -0.1 + 0.1. Let p = 1.3 - 1.1. Let w = f + p. What is the third smallest value in w, -1, 4/3?
4/3
Let w = 1 - 1.2. Let q be -2*-1*2/2. Let r be q/10 - 12/(-15). Which is the second biggest value? (a) r (b) -4 (c) w
c
Let j = -0.08 + -1.92. Which is the second smallest value? (a) -0.1 (b) j (c) -1/3
c
Let v = 40 + -39.7. Which is the third smallest value? (a) 2/13 (b) 4 (c) v (d) -0.5
c
Let o(n) = -n**3 + 11*n**2 - 17*n - 13. Let z be o(9). Let v be (z/(-20))/((-2)/5). Which is the smallest value? (a) -1 (b) 5 (c) v
a
Let z = -13/18 - -2/9. Which is the third smallest value? (a) -0.1 (b) z (c) 0.02
c
Suppose q = 4*q - 6. Let x = -18 + 10. Let m = x - -11. Which is the third biggest value? (a) 1/4 (b) m (c) q
a
Let q(w) = w**2 + 3*w - 5. Let z be q(-4). Let i = 0.3 - 0.1. What is the second smallest value in z, -2, i?
z
Let j = -4.1 + 0.1. Let m = 4.5 + j. What is the second biggest value in 2/11, m, -1/4?
2/11
Let q be ((-10)/(-3))/(1*6/9). Suppose -30 = s - 5*n, -4*s = -5*s + n - 10. Which is the smallest value? (a) q (b) s (c) 2/3
b
Let t = 0.05 - 0.05. Let v = 27/10 - 1/5. What is the second smallest value in v, 0.3, t?
0.3
Let m = -27 + 26. What is the third smallest value in 2/9, m, 2/5?
2/5
Let p(v) = -4*v + 0 - 1 - 2*v. Let o be p(1). Let w be 5 + o + 40/21. Which is the third biggest value? (a) w (b) 0.2 (c) 4/5
a
Let r = 17 - 19. Suppose 0 = p - 5*o + o - 3, 3*p - 2*o = -11. Which is the second smallest value? (a) p (b) r (c) -2/15
b
Let m(j) = -j**2 - 4*j. Suppose -1 - 14 = 5*x. Let k be m(x). Which is the biggest value? (a) k (b) -1 (c) -0.5
a
Let x = -197 - -192. What is the biggest value in 4/3, 1, x, -1/10?
4/3
Let j = 10/19 + -97/76. Let r = -0.07 + 0.3. Let u = r - -0.07. Which is the smallest value? (a) j (b) -1/3 (c) u
a
Let n = 605.94 - 611. Let o = n - -0.06. Let h = 0 - o. What is the biggest value in -4/5, 5/3, h?
h
Let n = -462 - -467. Let s = 702/5 + -141. Let u = -0.1 - -0.6. What is the biggest value in n, s, u?
n
Let h be ((-4)/(-10))/(11/(55/8)). Which is the smallest value? (a) -2/3 (b) -8 (c) h (d) -2/5
b
Suppose 5*v = v - 12. What is the second smallest value in -0.12, v, -5?
v
Let w be (-11)/2 + -1 + 5. Which is the fourth biggest value? (a) -2/3 (b) -0.5 (c) 0.5 (d) w
d
Let n(d) = d**3 + 7*d**2 + 2. Let i be n(-7). Let z be (3 - 3)/(i*1). Suppose -4*q + 20 = -z*q. Which is the third biggest value? (a) q (b) -2/3 (c) 1/4
b
Let z(x) = -4*x**3. Let y be z(-1). Suppose -2*l + 12 = y*s, 0 = 5*l + s - 3. Let q = 10 + -11. Which is the biggest value? (a) 0.4 (b) q (c) l
a
Let u be (-4)/4 - (-4)/6. What is the third smallest value in u, -1/5, 3?
3
Let x = 168 - 159.1. Let z = -1.1 - x. Let o = 7 + z. What is the third smallest value in 0, o, 0.3?
0.3
Let h = 19 + -9. Let o = h - 5. Which is the second smallest value? (a) 1/4 (b) -1/4 (c) o
a
Let l = -194 + 94. Let h be ((-5)/l)/((-6)/(-16)). Which is the third biggest value? (a) 4 (b) -3 (c) h
b
Let x = 1.47 + -1.97. What is the third biggest value in 2, 0.02, -1/3, x?
-1/3
Suppose -2*y + 2*f = -6, -4*f - 10
|
{
"pile_set_name": "DM Mathematics"
}
|
se z = 5*q + 15, -5*q = l - 1 - 1. What is the units digit of l?
7
Suppose 0 = -156*i + 102*i + 262386. What is the units digit of i?
9
Let g be ((-272)/32)/(1/22). Let d = g + 331. What is the units digit of d?
4
Suppose -l + 2*z = -300, 3 = -3*z - 0. Let x = 466 - l. What is the tens digit of x?
6
Let w(a) = -a**3 + 6*a**2 + 4. Suppose 3*p + 9 - 18 = 0. What is the tens digit of w(p)?
3
Suppose 0 = -6*v - 24 + 96. Let a = -4 + v. Suppose m = a + 31. What is the tens digit of m?
3
Suppose -5 = -7*y + 9. Let h(d) = 7*d - 3. What is the tens digit of h(y)?
1
What is the hundreds digit of 284*4/28*196/8?
9
Let s(c) be the second derivative of 4*c**4/3 + c**3/3 - 10*c**2 + 8*c. What is the hundreds digit of s(4)?
2
Let s = 6 - 3. Suppose -s*m - 25 + 166 = -5*h, m + 5*h = 27. Suppose -m = 3*n - 6*n. What is the units digit of n?
4
Let c(t) be the second derivative of -t**4/24 + 3*t**3/2 - 5*t**2/2 + 3*t. Let r(k) be the first derivative of c(k). What is the tens digit of r(-7)?
1
Suppose -5*h + 39 = 329. Let u = h - -168. What is the units digit of u?
0
Let b(u) be the first derivative of -3 + 1/2*u**2 - 3*u + 1/3*u**3. What is the units digit of b(4)?
7
What is the tens digit of 43 + (3/9 - 2/6)?
4
Let n(l) = l**3 + 8*l**2 - 10*l - 2. Let u be n(-9). Let q be -70*u/(105/(-6)). Let k = q - 27. What is the units digit of k?
1
Let v = -116 - -119. Suppose -306 - 51 = -v*o. What is the units digit of o?
9
Let v be 0*(0 - 1/(-2)). Suppose -i - u = 2*i - 174, -3*i + 5*u + 156 = v. What is the tens digit of i?
5
Suppose q - 4*q = 3*f - 12, 3*q = 3*f - 24. Suppose -f*o = -o. What is the units digit of 0 + -1 + (3 - o)?
2
Let a be (2/(-3))/((-26)/585). Let v = -12 + a. Suppose -5*l + q + 83 = -0, -v*l + 55 = 2*q. What is the units digit of l?
7
Let t(m) be the second derivative of 1/6*m**3 + 19/2*m**2 - 1/20*m**5 - 1/12*m**4 + 0 + 5*m. What is the units digit of t(0)?
9
Let z = 92 - 98. Let b be 4/(0 - -2)*-4. Let r = z - b. What is the units digit of r?
2
Let j = 779 - 426. What is the units digit of j?
3
Suppose 36*k - 32*k - 44 = 0. Let y(z) = 15*z + 14. What is the tens digit of y(k)?
7
Let w = 958 - 466. What is the units digit of w?
2
Suppose 0 = -4*a - z + 42, 4*z = -a + 6*a - 42. Suppose 3*g - 29 = -3*d + 43, 3*g = -3. Let t = d - a. What is the units digit of t?
5
Let l(n) = 8*n**2 + 74*n - 61. What is the hundreds digit of l(-26)?
4
Let i(n) be the third derivative of n**4/24 + 61*n**3/6 + 2*n**2. Suppose -46*u = -65*u. What is the units digit of i(u)?
1
Let z = 100 - -2695. What is the units digit of z?
5
Suppose 18*j - 3701 = 15*j + 5*s, 4*j - 4978 = -2*s. What is the tens digit of j?
4
What is the units digit of 4/(-20) + (-2 - (-6663)/15)?
2
Let q(t) = -t**2 - 6*t - 6. Let h be q(-4). Let g = h - -6. What is the units digit of 428/14 - g/14?
0
Let d be 1/((18/(-4))/(-9)). Suppose -815 = -5*o + d*i, -2*i - 66 = -2*o + 254. What is the tens digit of o?
6
Suppose -5*a + 4*b + 8505 = -0*b, 0 = a - b - 1700. What is the tens digit of 9/12 + a/20?
8
Let z(g) = -10*g + 66 + 69 + 10*g**2 - 151. What is the units digit of z(6)?
4
Let o be 27 + (3 - (-4 + 4)). Let a = o - -39. What is the units digit of a?
9
What is the hundreds digit of 42/(1 - 0)*(11 + 1)?
5
Suppose 0 = 4*i - 12, -2*w = -3*i + 2*i - 1. Suppose -p + w*s - 5 = 0, -5*p + 2*s = -3*s + 35. Let v(x) = -2*x - 7. What is the units digit of v(p)?
1
Let q = -7 - -11. Suppose -2 = -v - 6, -5*a = q*v - 54. What is the tens digit of a?
1
Suppose 2*l + 3*a = l + 1, 0 = -5*l + 2*a + 90. What is the units digit of (-7 + 152/l)*98/1?
5
Let r(i) = i**2 - 4*i + 3. Let h be r(7). Let v = -7 + h. What is the tens digit of v?
1
Let l be 0 - -159 - (4 - 4). Let w = 410 - l. What is the units digit of w?
1
Let g(n) = 5*n - 4. Let l(x) = 14*x - 11. Let q(b) = -11*g(b) + 4*l(b). Let y(f) = 5*f + 5. Let u(c) = 4*q(c) - y(c). What is the units digit of u(-7)?
2
Suppose w + w + 22 = 0. Let b(d) = -d - 8. Let n be b(w). Suppose n*o + 5*j - 8 = 0, 2*j = 4*o - 39 - 15. What is the units digit of o?
1
Let w be 2*1 + (-208)/(-8). Let z = -55 + w. Let f = -20 - z. What is the units digit of f?
7
Suppose 6 = 4*i + g - 3*g, 1 = g. Suppose 0 = -i*f - 3*c - 106, -4*f + 2*c - 187 = 9. Let r = 86 + f. What is the units digit of r?
6
Let t = 18 + -15. Let s be (0 + t)/(6/6). Suppose -s*i + 12 = -30. What is the units digit of i?
4
Suppose 25 = -13*j + 18*j. Suppose 0*i = -j*i + 20, -t = -5*i - 84. What is the units digit of t?
4
Let w = -364 - -362. Let c(p) = 2*p**3 + 3*p**2 - 3*p - 5. Let f(a) = -2*a**3 - 4*a**2 + 3*a + 6. Let h(r) = -3*c(r) - 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
pand (-2*y**2 - 5*y**2 + 4*y**2 + 23)*(-4*y**2 + 2*y**2 + 4*y**2).
-6*y**4 + 46*y**2
Expand (-3 + 2 + 4 - 2 + 1 - 1 + (0 + 1 - 2)*(5 - 3 - 3) - 3 + 0 + 1 + 4 - 1 - 1 + 4 - 3 + 2)*(3*c**2 + c**2 - 3*c**2)*(41*c - 24*c**3 - 41*c).
-120*c**5
Expand (j**2 - 7*j**2 + 0*j**2 + (3 + 2 - 6)*(-3*j**2 - 3*j**2 + 7*j**2))*(-9*j**2 + 11*j**2 + 8*j**2).
-70*j**4
Expand h**5 + 0*h**5 - 2*h**5 + (4 - 4 + 2)*(-h**5 - h + h) + 2*h**2 - 2*h**2 - 2*h**5 - 1 + 0 - 1 + 12*h**5.
7*h**5 - 2
Expand (h**4 - 3*h**4 + 0*h**4)*(h + 3*h - 6*h) + (-70*h**4 + 32*h**4 - 69*h**4)*(-5 + 0 + 3)*(-9 + 9 + 3*h) + h**5 - 1 + 1.
647*h**5
Expand (-8 - 8*q**3 + 8)*((-2 + 5 - 2)*(q + 3*q - 6*q) - 4*q + 0*q + 3*q - 5*q + 2 + 7*q - 6*q).
56*q**4 - 16*q**3
Expand (18*y - 96*y - 53*y)*(0 - 1 - 1).
262*y
Expand (3 - 140*k - 129*k + 220*k)*(-5 + 4 + 3).
-98*k + 6
Expand (-41*v - 3 + 1 + 21*v)*(-59*v**3 + 59*v**3 + 8*v**4).
-160*v**5 - 16*v**4
Expand (-1 + 1 + 2*s**2)*(3*s**2 - 4*s**2 + 2*s**2 + 2*s**2 - s**2 - 3*s**2 + (-3*s + 3*s - 2*s)*(-2*s - s + 0*s) - 2 - s**2 + 2).
8*s**4
Expand (0 + 0 - 2)*(18*i**2 + 30*i**2 - 5*i**2).
-86*i**2
Expand -3*t**4 - t**4 - 12*t**4 + (0*t - 4*t + t)*(-t**3 - t + t) - t**4 + 0*t**2 + 0*t**2.
-14*t**4
Expand 4*l**3 + 0*l**3 - 5*l**3 + (-2 + 2 - 2)*(30*l**3 + 8*l**3 + 15*l**3) - 3*l**3 - l**3 + 3*l**3.
-108*l**3
Expand (6*v - v - 4*v - 2*v + 1 - 1 - 2*v + v + 3*v + (3*v + v - 6*v)*(1 + 1 - 4) + 0*v + 0*v - 2*v)*(49 + 133 + 52).
702*v
Expand (1 - 2*w**2 - 1)*(4*w - 5*w + 3*w) - w**3 - w**2 + w**2 + 4*w**3 + 0*w**3 - 2*w**3 - w**3 + 0*w**3 - 3*w**3 + (18 - w - 18)*(3*w**2 + 2*w**2 - 2*w**2).
-10*w**3
Expand (-92*i - 52*i + 40*i)*(0*i**2 + 0*i**2 + i**3) + 9*i**4 + 10 - 10.
-95*i**4
Expand (-6*u - 3*u - u)*(2*u + 0*u - 10*u)*(-3 + 2 - 1).
-160*u**2
Expand (169*d**2 - 221*d**2 - 220*d**2)*(-2*d**2 - d**2 + d**2 + (-2*d - d + d)*(-4 + d + 4) + d**2 + d**2 - d**2).
816*d**4
Expand (-4 - 3 + 5)*(4*l**5 - 2*l**5 - l**5) - 87*l - 67*l**5 - 104*l + 213*l.
-69*l**5 + 22*l
Expand (t - 4*t + 4*t)*(0 - 2 + 4) + 2827 - 2827 - 53*t.
-51*t
Expand (2 + m + 2*m - m)*(8*m - 93 + 96 - 3*m).
10*m**2 + 16*m + 6
Expand -116*p - 165*p + 57*p + (-2 + 3 + 1)*(-3 + 3 + 2*p) - p + 0 + 0 - p - 2*p + 2*p.
-222*p
Expand (-p**3 + p**2 + 3 - 2*p**2 + 0*p**3)*(4 + 2 + 3) - 3*p**3 - 22*p**3 + 11*p**3.
-23*p**3 - 9*p**2 + 27
Expand (-4 + 4 - z)*(-1 + 4 - 2)*(278 + 226 - 334)*(3 - 3 - 1).
170*z
Expand h**4 + 2*h - 2*h - 6*h**4 + 2*h**4 - 3*h**2 + 0*h**2 + (-1 + 2*h + 1)*(5*h**3 - 2*h**3 - h**3) + h**4 - h**4 - h**4 + 34*h**4 - 989*h + 989*h.
34*h**4 - 3*h**2
Expand (-10*r**2 - 4*r + 4*r)*(-r + 2*r + 2*r)*(-2*r - r + 0*r).
90*r**4
Expand (10*z - 7*z + 7*z)*(43*z**2 + 11 - 25 + 12).
430*z**3 - 20*z
Expand (-m + 2*m + 0*m)*(44*m - 1 - 417*m + 0).
-373*m**2 - m
Expand (-2 + 3 + 1)*(4*i**2 - 3*i**2 - 3*i**2) + (7*i**2 + 6*i**2 - 8*i**2)*(-2 + 2 - 1).
-9*i**2
Expand 5*f**2 - 2*f**2 - 2*f**2 + 0*f**2 + 2*f**2 + 0*f**2 + (6 - 2 - 3)*(4 - 2*f**2 - 4) - 35 + 35 + 20*f**2 + (3*f - 3*f - 2*f**2)*(3 + 0 - 4).
23*f**2
Expand (2*z**2 - 4*z**2 + 3*z**2)*(-2 - 5 + 4) - 2*z**2 + z**2 - z**2 - 1 - 3*z**2 + 1 + 2*z**2 + 0*z**2 + 0*z**2 + 7*z + 36*z**2 - 45*z**2 + 3 - 8*z.
-15*z**2 - z + 3
Expand ((2 - 4 + 1)*(6*k - 2*k - 3*k) + 2*k - 3*k - k)*(-2 + 4 + 3 + (-3 - 5 + 1)*(1 - 5 + 3)) - k + 0*k + 0*k.
-37*k
Expand (-8*j + 10*j - 5*j**2 + 4*j**2)*(12 - 4 + 21).
-29*j**2 + 58*j
Expand (-12 + 12 + 28*x**2)*(2*x - 4 + 4) - x**3 + 4*x**3 - 5*x**3.
54*x**3
Expand 2*h**3 + h - h + h**3 + 2*h**2 - 2*h**2 + (1 - 1 - h)*(4*h**
|
{
"pile_set_name": "DM Mathematics"
}
|
est to -1? (a) 2 (b) 3/7 (c) 874 (d) -0.7 (e) -0.3
d
What is the closest to 1 in 1/17050, -0.1, 0.4, -0.3?
0.4
Which is the closest to -4? (a) 129 (b) -2/15 (c) 4
b
What is the closest to 1 in 0, -3.76, -1/3?
0
Which is the closest to 3? (a) 8/9 (b) -3/4 (c) 3 (d) 0 (e) -0.13
c
What is the nearest to 3/4 in 0.3, 3/4, 0.06, 0.2, -5.7?
3/4
Which is the closest to 12/5? (a) -7/2 (b) -0.07 (c) -0.5
b
Which is the nearest to 0? (a) -0.14 (b) 0.09 (c) 6
b
Which is the nearest to 2/7? (a) 4 (b) -6 (c) -12678
a
Which is the closest to -0.073? (a) -0.7 (b) -0.4 (c) 4 (d) -0.41 (e) 1
b
What is the nearest to 0.1 in -3, 0.3, 14/197, -0.5, 2/5?
14/197
Which is the nearest to -175.73? (a) 1/3 (b) -0.3 (c) -3
c
What is the nearest to -0.1 in -4, -3, -232, -50?
-3
What is the closest to 2 in -226, 0.4, -0.5, 29, -3?
0.4
What is the nearest to 2/5 in 3, -1069, 0.5, 3/5?
0.5
Which is the closest to 1/4? (a) 75/13 (b) 27 (c) -2/7
c
What is the closest to -0.1 in 2, 1/16, -280, 0.045?
0.045
What is the closest to 0.03 in -1, 2/27, 8?
2/27
What is the closest to 3 in -1, -4, -8?
-1
Which is the closest to -1? (a) -1/4 (b) -5/11 (c) 8
b
What is the nearest to 7/4 in -12/5, 3, -1, 0, 4/9?
3
What is the closest to 1/4 in 2/7, 68.7, 5/4, 0.3, -4?
2/7
What is the closest to -10/3 in 0.3, 5357, -3/4?
-3/4
What is the closest to -2/5 in 3, -19, 1/7, 5/2?
1/7
Which is the nearest to 45/4? (a) -1.6 (b) -15/7 (c) -0.3
c
What is the closest to -0.2 in 1, 3/2, 1/8, 265?
1/8
What is the nearest to 0.1 in 5/2, -28554, -1/3, 3?
-1/3
What is the nearest to -1/24 in 1032, -2/19, -0.5, -1/4?
-2/19
Which is the nearest to -0.3? (a) -1/2 (b) -0.09 (c) 3 (d) 1 (e) -2/3
a
What is the nearest to -330 in 1, 8, 1/6?
1/6
What is the closest to 1 in 4, -6, -4, -0.08, 2/5?
2/5
Which is the closest to -15? (a) 1.8 (b) -3 (c) 2
b
What is the nearest to -32 in -0.5, 19/5, 3/5?
-0.5
What is the closest to -1/2 in -1, -4/7, -2/1261?
-4/7
Which is the closest to 0.962? (a) -5 (b) 0.05 (c) 0.3 (d) -3
c
Which is the nearest to 1/7? (a) 1/3 (b) 3 (c) 4/5 (d) -0.12
a
What is the closest to 20 in 0.01, 0.05, -11/6?
0.05
What is the closest to -3 in -0.0423, -6/7, 0.2, -2/15, -5?
-5
Which is the closest to -167? (a) -16 (b) -23 (c) -3
b
Which is the nearest to -0.1? (a) -1/16 (b) 5/4 (c) 14 (d) -0.6
a
Which is the nearest to 0? (a) 141 (b) -22 (c) 2
c
What is the closest to -0.1 in 2, -225, -5, -7?
2
What is the nearest to -3.3 in 3/5, -0.023, -50, -2/15?
-2/15
What is the nearest to 1/5150 in 0.4, 51, -2?
0.4
What is the nearest to 2/15 in 84, -15, -1/5?
-1/5
Which is the closest to -57? (a) -5 (b) 6/73 (c) -23
c
Which is the closest to 2/3? (a) 1 (b) 2/21 (c) 2/3 (d) 3/5 (e) 0.103
c
Which is the nearest to -96? (a) -77 (b) 2/17 (c) 0.3
a
Which is the nearest to 2/17? (a) -3 (b) 3/5 (c) -2/13 (d) 5
c
Which is the nearest to 1? (a) -0.5 (b) -6 (c) 2/13 (d) 7.2
c
Which is the closest to -0.1? (a) -1 (b) -1/2 (c) -48/5
b
What is the closest to 5 in -4/29, -1, -5, 2?
2
What is the closest to -0.1 in -0.38, 4, 33?
-0.38
Which is the nearest to 1/4? (a) 1/3 (b) -2/5 (c) -4 (d) 18/5
a
What is the closest to -5 in 874, 16, 3/5?
3/5
What is the nearest to -2 in -36/49, -62, -4, -0.3?
-36/49
What is the nearest to -2/11 in -12, 0.1, 3/7, 1/28?
1/28
What is the nearest to -45/4 in -0.6, -0.074, -3/7?
-0.6
Which is the closest to -2/7? (a) -28 (b) 0.3 (c) 0.4 (d) -4 (e) -0.2
e
Which is the closest to 0.1? (a) -2/63 (b) -324 (c) 0.4
a
Which is the closest to 8.565? (a) -0.1 (b) 2 (c) -3
b
Which is the closest to 5? (a) 21 (b) 3 (c) -0.18 (d) -0.3
b
Which is the closest to -2/7? (a) -4 (b) -0.7 (c) 10 (d) 0.5
b
Which is the nearest to 0? (a) 0.2 (b) -15.3 (c) 256
a
Which is the nearest to 1.4? (a) 4 (
|
{
"pile_set_name": "DM Mathematics"
}
|
*3 + 0*i**3.
4*i**3
Expand (0 + 0 + 2*z)*(5 + z - 5) + (2*z - 2 + 2)*(-1 + 2*z + 1).
6*z**2
Expand (-4 + 2 + 0)*(h**2 - 2*h**2 + 6*h**2) + (0 - 3 + 0)*(4*h**2 - h + h).
-22*h**2
Expand ((-1 + 1 - q)*(-1 + 0 + 2) - 5 + 5 + 3*q - 2*q + q + 3*q)*(-5*q**2 + 3*q**2 + 3*q**2).
4*q**3
Expand 3*n - 3*n + 2*n + (5 + 2 - 3)*(0*n + 5*n - 3*n) + 3 - 3 - 2*n.
8*n
Expand -10*s - 4*s**2 + 10*s + (-2*s**2 + 0*s + 0*s)*(-4 - 2 + 4) + 2*s**2 - 4*s**2 + 3*s**2 - 2*s**2 + s**2 + 2*s**2 - 2*s**2 + 2*s**2 + s**2.
3*s**2
Expand -2*m**4 - m**4 + m**4 + (-3*m**2 + 2*m - 2*m + (-23 + 23 - 8*m**2)*(3 - 5 + 4))*(0*m**2 + 2*m**2 - m**2).
-21*m**4
Expand -3*i**2 + 16*i - 16*i + (i - 3 - 2*i + 1)*(1 + 8*i - 1).
-11*i**2 - 16*i
Expand (10*u**2 - 10*u**2 + 9*u**4 - u**4 + 4*u - 4*u + (-u**2 - 3*u + 3*u)*(u - u + 2*u**2))*(2 + u - 2).
6*u**5
Expand (-2*c**3 + c**3 + 2*c**3)*(2*c**2 - 3 + 3) + 4*c**5 - c**5 + 3*c**5 + (0*c**2 - 3*c**2 + 2*c**2)*(-3*c**3 + 2*c**3 + 3*c**3).
6*c**5
Expand (3*k**2 - 2*k**2 + 0*k**2)*(-4*k + 6*k - 5*k + (-2 + 1 + 2)*(0*k - 4*k + 5*k)).
-2*k**3
Expand (-5*w**2 + w**2 + 2*w**2)*(-5*w**2 + 3*w**2 - w**2) + (3*w + 2*w - 2*w)*(2*w**3 + 0*w**3 - 3*w**3).
3*w**4
Expand 0*g**5 + 0*g**5 + g**5 - g**5 + 0*g + 0*g + (2*g - 2*g - 2*g)*(-3*g**4 + 63*g**2 - 63*g**2 - 19).
6*g**5 + 38*g
Expand (2*w - 6*w + 2*w)*(5*w**3 - 3*w**3 - w**3) + 2*w**4 + 0*w**4 - 3*w**4 - w**4 + 0 + 0 + (4 - 1 - 2)*(10*w**4 - 12*w**4 - 7*w**4).
-13*w**4
Expand 2*k**3 - 2*k**3 - 2*k**5 + (-k**4 - k**4 + 0*k**4)*(0*k + 3*k - k) + 12*k**5 - 5*k**5 + 2*k**5 + (-1 + 1 + k**3)*(5*k**2 - 3*k**2 - 3*k**2).
2*k**5
Expand (2*c + c - 4*c)*(-6 - 2 + 12)*(3*c - 2*c + 6*c).
-28*c**2
Expand 3*u**3 - 2*u**3 - u - 4*u + (-3*u**3 + u**3 + 3*u**3)*(0 + 2 + 0) + 1 - u**3 - 1.
2*u**3 - 5*u
Expand (-5 + 2 + 2 + (4 + 1 - 4)*(1 - 2 - 1) - 1 - 2 + 1)*(-4*s + 4*s - s).
5*s
Expand (-s - 1 + 1)*(-s - 2 + 2)*(8 - 8 + 11*s + (2 - 3 - 1)*(-4*s + s + 4*s) - 1 + 1 + 3*s).
12*s**3
Expand -o**3 + 2*o**2 - 2*o**2 + (3*o - 4*o + 2*o)*(-3*o + 3*o - 2*o**2) - 8*o**3 + 13*o**3 + 11*o**3.
13*o**3
Expand (-4*x + x + 2*x - 1)*(16 + 2 + 3).
-21*x - 21
Expand (-5 + 5 - 2*k)*(k**2 - k**2 + 3*k**3) + 2*k**4 + k**2 - k**2 + 0*k**2 - k**4 + 0*k**2 + (2*k**3 + 2*k - 2*k)*(-2*k - k + k).
-9*k**4
Expand (2*b**2 - b + b)*(-4*b + b**3 + 4*b) + 0*b**5 - b**5 + 0*b**5 + (0*b - 2*b - 2*b)*(-b**4 + 0*b**4 + 2*b**4).
-3*b**5
Expand 0 + 2*x**2 + 1 + 0 + (2*x - 7*x + 4*x)*(0 + 3*x + 0).
-x**2 + 1
Expand (i**2 - i**2 - 2*i**4)*(-1 + 4 - 5)*(-8*i - 20*i - 8*i).
-144*i**5
Expand (17*i**3 + 8*i**3 - 9*i**3 + (4*i**2 + 3*i**2 - 5*i**2)*(4*i - 3*i + i))*(-6*i**2 + 2*i**2 + 3*i**2).
-20*i**5
Expand ((-4 - 3 + 5)*(-b - 1 + 1) + 3 - 3 + b + 2*b + 0 + 0)*(-5 - 2 + 1).
-30*b
Expand -4 + 4 - 2*q**3 + (q + 2*q**2 - q)*(0*q + 4*q - 3*q) + 3*q**3 + 3*q**3 - 3*q**3 + 5*q**3 + 0*q**3 - 3*q**3 + (0*q - 3*q + 5*q)*(-2*q + 2*q + q**2).
7*q**3
Expand (-3 + 1 + 6)*(5*p - 12*p + 17*p).
40*p
Expand (-8 + 3*o**2 + 8)*(-1 + 0 + 4)*(2 + 1 - 2 + (3 - 2 + 1)*(1 - 3 + 4)).
45*o**2
Expand 3 - 4 - 1 + 3*w + (-2 + 3 + 0)*(3*w - w - w).
4*w - 2
Expand (3 + 0 - 5)*(-2*n**2 - 56 + 56 - 3*n).
4*n**2 + 6*n
Expand (-1 + 2 - u + 0*u)*(-12*u + 12*u - 5*u**3 + (2*u + 3*u - 3*u)*(-2*u + 2*u + u**2) - 3*u**3 + 0*u**3 + 4*u**3).
2*u**4 - 2*u**3
Expand -6*q**2 + 3*q**2 + 4*q**2 + (2 + 2 - 3)*(4*q - 4*q + 2*q)*(-2*q + 2*q - 3*q).
-5*q**2
Expand (-1 - v**2 + 1)*(1 - 357*v - 18*v**2 + 357*v).
18*
|
{
"pile_set_name": "DM Mathematics"
}
|
ate -0.3 - -0.172007.
-0.127993
Subtract 5 from -604297.
-604302
What is 2 minus -13.604?
15.604
What is the distance between 4.07 and -4?
8.07
What is 21.3 less than 0.34?
-20.96
6107 + -3
6104
What is -4 + 536296?
536292
14001.8 + -5
13996.8
Work out -3194.42 + -0.04.
-3194.46
What is 3244 take away -0.1?
3244.1
Total of -3 and -0.27924.
-3.27924
Sum 339.7 and 1159.
1498.7
Total of 117470 and 0.05.
117470.05
Add 0.8 and -4348.
-4347.2
Add -0.041 and -903.
-903.041
Work out 8 + 62.
70
Calculate -0.4 - -163.
162.6
Work out -1331 - -4.
-1327
What is 173411 + -0.3?
173410.7
Work out 19788 - 4.
19784
What is 0.029 + -56249?
-56248.971
Work out 39094 + -13.
39081
Work out -5.9 - -5.4.
-0.5
What is -560 + 1?
-559
What is -0.16 less than -3.36?
-3.2
Add together 1.2 and -0.0564756.
1.1435244
What is -0.2 less than 1079252?
1079252.2
Add -0.4 and -1027.
-1027.4
What is 8 + -11.67?
-3.67
Total of 0.15 and -3.
-2.85
Sum -4.654 and -0.0354.
-4.6894
-494 - -94
-400
What is -0.05 less than 90054?
90054.05
Add 0.5482 and -4.
-3.4518
What is -0.2 less than -43.76358?
-43.56358
-2+955.6
953.6
What is -49 less than 3.91?
52.91
Subtract 0 from 11466.9.
11466.9
Subtract -2 from -8086.91.
-8084.91
-3+-14.3955
-17.3955
Sum 2417 and -6.
2411
Sum -9367 and -7.3.
-9374.3
Work out -8732.095 + -0.5.
-8732.595
Calculate 0.2 + 1017482.
1017482.2
Work out -1.4626904 - 3.
-4.4626904
What is -0.26 plus 0.0769?
-0.1831
Add 0.08 and -1.61.
-1.53
What is the distance between -672 and -1?
671
Work out 0.08266 - 2.
-1.91734
What is the difference between -0.15886 and 2.05?
2.20886
Total of 15 and -23941.
-23926
Calculate -8 + 0.119.
-7.881
312.3 - -1.1
313.4
Add together -0.3 and -2804.2.
-2804.5
Calculate 1 - 301.
-300
Calculate 0.0196307 + -5.
-4.9803693
-24705 + 0.4
-24704.6
Put together -0.03 and -0.0425.
-0.0725
What is -1.3 less than -9916?
-9914.7
Work out -0.4 + -0.21882.
-0.61882
Calculate 170 - 0.1936.
169.8064
What is 0.4 less than 42339?
42338.6
What is the difference between 3 and 20625?
20622
What is 41735 - -0.3?
41735.3
What is -0.25112 take away -0.2?
-0.05112
Work out -1.5 + 220.
218.5
Calculate -0.114 - -25.
24.886
What is the distance between -4039 and -0.8?
4038.2
What is 40 - 55.7?
-15.7
What is -19.732 + 0.08?
-19.652
What is 2555.8 + 25?
2580.8
Calculate 1 - -11135.
11136
Sum -475.6 and -1.
-476.6
Total of 59 and 0.3.
59.3
Add -1 and 172325.
172324
What is the distance between -359 and 24?
383
Put together -8.5 and -472.
-480.5
Subtract -0.02 from 16.93.
16.95
-3+-0.06
-3.06
Calculate -85.9 + -1.
-86.9
What is -259 + -1?
-260
What is 569 plus 5686?
6255
What is -8640 take away 7.8?
-8647.8
Add together 0.2 and 39.5.
39.7
Total of -0.39 and -6303.
-6303.39
Sum 0 and -447.
-447
Work out -4 + 32.77.
28.77
-5578 - -48
-5530
-3 - 40.957
-43.957
What is -13853 plus -58?
-13911
Work out 8531.94 - -1.
8532.94
What is 2782 - 3.7?
2778.3
What is -21.6 + -277?
-298.6
Add together -36092 and 2.
-36090
-0.013+973
972.987
What is 36099 take away 4?
36095
Work out -354 - 96.
-450
What is -107 + 0.18745?
-106.81255
What is the difference between 0.046 and -54?
54.046
Subtract 86.02 from 0.4.
-85.62
Work out -0.642 - -0.37.
-0.272
0.3 + -5111
-5110.7
Subtract 418 from -0.09.
-418.09
What is 3.8 - 38.6?
-34.8
What is -0.5 take away 923.17?
-923.67
Add together -0.657 and -0.089.
-0.746
What is -0.5 + 0.1329?
-0.3671
-1.06098 - -14
12.93902
What is 9 less than -24.81?
-33.81
Total of -0.02 and -0.31256.
-0.33256
What is -0.3 take away 1030?
-1030.3
Add together -1.3159 and 3.
1.6841
Work out -0.5 - 47392.
-47392.5
Calculate 35.7 + 0.12.
35.82
What is -0.4 - -205294?
205293.6
Add -0.34 and -133.
-133.34
Add together -11.6 and -374.
-385.6
Put together -115.89 and 4.
-111.89
What is 2130741 + 0.2?
2130741.2
What is 0.012 - 31.174?
-31.162
What is -43788 + 3?
-43785
What is 5 minus -1247?
1252
What is the difference between 0.74705 and -2.63?
3.37705
-1300 - -5
-1295
Add together 3301 and -0.08.
3300.92
Subtract 4 from -693.
-697
-261 - 0.074
-261.074
Put together 0.0221 and -0.119.
-0.0969
What is 38 + 3447?
3485
Calculate -34579 - -1.
-34578
Calculate -10127 - 92.
-10219
Add -2519 and -76.3.
-2595.3
What is 0.01611 - 0?
0.01611
What is -33 minus -358
|
{
"pile_set_name": "DM Mathematics"
}
|
. Let g be u(5). Let v be (-4)/g + (-7602)/(-63). Suppose -25*i - v = -30*i. What is the units digit of i?
4
Let s(z) = 108*z + 72. What is the tens digit of s(5)?
1
Suppose -3*p + 2*p = -2*h - 2, 3*h - 3*p = 0. What is the units digit of (14/35)/(h/(-180))?
6
Suppose -2*l + 4 = 4*r - 4, -4*l = r - 16. Suppose r = -3*p - 6*a + a + 48, -2*p - 2*a = -32. What is the tens digit of p?
1
Suppose 0 = -5*b + 7*b - 14. What is the units digit of b?
7
Suppose -4*k - 41 = -2*k + 5*v, 0 = 3*k + 3*v + 57. Let z = k + 17. Let a(n) = -48*n + 1. What is the units digit of a(z)?
9
Let v be -3 - (3 - 3)*(-4)/(-8). Let g(l) = 13*l**2 + 6*l + 16. What is the hundreds digit of g(v)?
1
Let b = -629 - -1258. What is the tens digit of b?
2
Let v = 599 - 233. What is the tens digit of v?
6
Suppose -5*v - 26 = -4*i, 8 + 6 = i - 5*v. Suppose -j = i*d - 13, 3*d = -0*d + 2*j - 4. Suppose -d*p - 3*h + 0*h = -31, -15 = 3*h. What is the units digit of p?
3
Let x = 73 - 59. What is the tens digit of 7/x - ((-818)/4 - 0)?
0
Suppose 19*l = 13*l + 6570. What is the thousands digit of l?
1
Suppose 2*m - 5*y - 2 + 541 = 0, y - 262 = m. Let d = m + 508. What is the tens digit of d?
5
Let f = 250 + 9. What is the hundreds digit of f?
2
Suppose 4 = -2*g, 0 = -i + g - 5*g + 265. Suppose 0 = -5*k + z + i, 279 = 4*k + k + 2*z. What is the units digit of k?
5
Let z(l) be the second derivative of 0*l**3 + 3/2*l**2 + 0 + 1/4*l**4 - 4*l. What is the tens digit of z(3)?
3
Let n(r) = 300*r - 152. What is the thousands digit of n(6)?
1
Suppose 0 = -16*i - 10293 + 50421. What is the thousands digit of i?
2
Let r be 84/(-15) + 4/(-10). Let g = 9 + r. What is the units digit of g*8/(-60)*-25?
0
Let z(l) = 4*l**2 + 4*l + 3. Let k be z(-2). Let w be (-1)/(-4) + k/4. Suppose 2*r = s - 2*s + 13, 3 = -w*s. What is the units digit of r?
7
Suppose 0 = i - 2*a - 94 + 34, -5*i + 267 = a. Let j(n) = -5*n + 1. Let d be j(1). What is the units digit of i/2*d/(-12)?
9
Let y be 9/(27/12) - 12. What is the units digit of (y - -6)/(4/(-94)) + -1?
6
Let g be 368/20 + (-2)/5. Let y = g + 1. What is the tens digit of y?
1
Suppose -1058 = 23*k - 4324. What is the tens digit of k?
4
What is the hundreds digit of 4734/22 + 4/132*-6?
2
Suppose 12*t - 7*t - 20 = 0. What is the tens digit of t/12*-3 - -42?
4
Let a = -20 - -14. Let b be 15/a*(-3 - -1007). What is the tens digit of (-2)/(-12) + b/(-60)?
4
What is the thousands digit of -21*(-8)/28 - -1459?
1
Let w = 4129 + -2733. What is the thousands digit of w?
1
Let x(d) = d + 6. Let q be x(-6). Suppose -l + 4 = -q*l. Suppose 2 = -5*v + 7, 4*m = l*v + 76. What is the units digit of m?
0
Suppose 12 = 4*q + 4*m, m + 7 = 3*q + 5*m. Suppose -q*x = x - 330. What is the tens digit of x?
5
Let v(q) = -2*q - 6. Let a be v(-6). Suppose 53 = i - a. What is the tens digit of i?
5
Let n(p) = 2*p**2 + 2*p - 6. Let i be n(3). Let d(b) = -5*b + i*b + 0*b. What is the units digit of d(2)?
6
Let z(m) = -9*m**2 - 2*m + 2. Let a be z(-2). Let p = -28 - a. Suppose p*x - 100 = -2. What is the tens digit of x?
4
Suppose -4*y + 547 = -13133. What is the thousands digit of y?
3
Suppose -658 = -2*r + 1922. What is the hundreds digit of r?
2
Suppose 21 - 56 = -7*y. Suppose -y*u - 101 = -0*d - d, 5*u - 20 = 0. What is the units digit of d?
1
Suppose -5*g = 5*i - 380, 3*g = -0*g - 9. Let j = i + -44. What is the units digit of j?
5
Let z be (-1 + -160)*(3 - (-8)/(-2)). Suppose 2*w + 25 = 2*k + z, -w + 53 = -4*k. What is the tens digit of w?
7
Let q(x) be the third derivative of -1/60*x**5 + 0 + 1/3*x**3 + 0*x - 3*x**2 + 1/24*x**4. What is the units digit of q(0)?
2
Let z(j) = -199*j - 61. What is the units digit of z(-9)?
0
Let i be (3 + -2)*(-2 + (-54)/(-2)). Suppose 0 = 23*g - 18*g - i. What is the units digit of g?
5
What is the tens digit of (-8346)/(-9) - 1*6/(-9)?
2
Suppose -2*c + 2513 = 3*g, -4*g - 3*c + 4188 = g. What is the hundreds digit of g?
8
Let w(y) = 210*y**2 - 8*y - 20. What is the units digit of w(-3)?
4
Let f(z) = z**2 + 2*z - 3. Let h be (1 - 2)/((-1)/(-3)). Let j be f(h). Suppose j*n = 2*n + 6, -3 = -3*l - 3*n. What is the units digit of l?
4
Let q = 1369 - 514. What is the units digit of q?
5
What is the hundreds digit of 2*((-1)/(-6))/(6/35658)?
9
Suppose 5*r = -4*v - 116 - 60, 3*v = -3*r - 129. Suppose 5*w + 4*k + 39 + 28 = 0, 5*k = 4*w + 70. Let s = w - v. What is the units digit of s?
4
Suppose 16*s + 4*p - 164 = 15*s, s = -3*p + 161. What is the tens digit of s?
5
Let i(v) = -v**3 - v + 1. Let z be i(1). Let y(c) = -116*c**2 + 1 + 116*c**2 + 70*c**2 + c + 0*c. What is the tens digit of y(z)?
7
What is the tens digit of (-4 - (-44)/4) + 368?
7
Let k(t) = t**2 + 9*t - 11
|
{
"pile_set_name": "DM Mathematics"
}
|
is divided by r?
4
Let s(y) = -8*y**3 - 5*y**2 - 2*y + 4. Let f(g) = -71*g + 369. Calculate the remainder when s(-3) is divided by f(5).
13
Suppose 0 = -z - 0*z - z. Suppose -l + 28 + 2 = z. Calculate the remainder when l is divided by 11.
8
Let t = 6 - -9. Suppose -2*v = -t - 77. Calculate the remainder when 181 is divided by v.
43
Let i(q) = 2*q + 6. Let a be i(-4). Let k = 15 - a. Let j = k + -15. What is the remainder when 3 is divided by j?
1
Let j = -614 + 651. What is the remainder when 476 is divided by j?
32
Let p(h) = -6*h**2 - 5*h + 2. Let b be p(2). What is the remainder when 12 is divided by (3 - 1)/((-8)/b)?
4
Suppose 1 = -0*x - x. Let c = x + 1. Suppose 5*f + 34 = y - 1, c = -2*y - 2*f + 82. What is the remainder when y is divided by 21?
19
Suppose 5*y - 9 = -2*g, -14 = g - 3*g - 4*y. Suppose -g*z - 7 = -16*z. Let s(l) = -l**3 - 6*l**2 + 4*l - 7. What is the remainder when s(z) is divided by 3?
2
Let g(l) = -5*l - 25. Let c be g(-11). Suppose -7*y = -4*k - 2*y + 40, 0 = -3*k - 5*y + c. Calculate the remainder when 37 is divided by k.
7
Let j(a) = a + 24. Calculate the remainder when 113 is divided by j(15).
35
Let x(a) = 207*a**3 - 2*a**2 + 1. What is the remainder when x(1) is divided by 30?
26
Suppose 0 = -301*z + 319*z - 486. Let r(m) = 39*m + 1. Calculate the remainder when r(2) is divided by z.
25
Let n be (-822)/(-4)*20/15. Let m = n + -172. Let b = m + -57. What is the remainder when b is divided by 16?
13
Let v(r) = 72*r**2 - 3*r + 1. Let z be v(1). Suppose -10*h + 8*h = -z. Calculate the remainder when h is divided by 19.
16
Let m(x) = -x**3 + 8*x**2 - 7*x + 2. Let z(b) = -b**3 - 9*b**2 + 8. Let n be z(-9). Suppose n = 3*a - a. What is the remainder when a is divided by m(7)?
0
Let r(x) = 3*x + 139. What is the remainder when r(-31) is divided by 14?
4
Let g = -260 + 478. Calculate the remainder when g is divided by 56.
50
What is the remainder when 3716 is divided by ((-10)/(-60))/((-4)/(-4056))?
167
Let f be (19/57)/((-1)/(-12)). Calculate the remainder when 78 is divided by (-2*5)/(f/(-8)).
18
Suppose t = 39 - 10. Let q = 194 + -81. Calculate the remainder when q is divided by t.
26
Let b(u) = -14*u - 206. What is the remainder when b(-17) is divided by 11?
10
What is the remainder when (1/1)/2 + 22161/166 is divided by 50?
34
Let n(k) = k**3 + 11*k**2 + 15*k + 74. Calculate the remainder when 109 is divided by n(-10).
13
Let u = -525 + 607. Suppose -2 = -d + 2*n, -5*d = -0*d + 2*n - 70. Calculate the remainder when u is divided by d.
10
Suppose -25*n + 29*n = 0. Let t(s) = s**3 - 2*s**2 - s + 17. Calculate the remainder when 31 is divided by t(n).
14
Let y(m) = m**3 + 13*m**2 + 23*m + 138. Let u(r) = 2*r**2 - 2*r - 2. What is the remainder when u(-2) is divided by y(-12)?
4
Calculate the remainder when 83 is divided by 2 - 2 - (-31 + -9) - 3.
9
What is the remainder when 222 is divided by (3 - (3 + -1)) + 540/20?
26
Let s = -24 + 227. Calculate the remainder when s is divided by 51.
50
Suppose 3*h = 185 - 62. What is the remainder when ((-32)/6)/(3/(-45)) is divided by h?
39
Let r = -2 + 4. What is the remainder when ((-5)/10)/(r/(-100)) is divided by 7?
4
Suppose -47*d + 78*d - 434 = 0. What is the remainder when 39 is divided by d?
11
Let m(y) = y**3 - 2*y**2 - y - 4. Let l be m(3). Suppose 3*g + 24 = f, 96 = 3*f - 2*g + 5*g. Calculate the remainder when f is divided by (-8)/(-1*l)*2.
6
Let a = -1540 + 2278. Calculate the remainder when a is divided by 19.
16
Let x(d) = -9*d - 168. Calculate the remainder when 155 is divided by x(-23).
38
What is the remainder when (1 + 8)*18 + -9 is divided by 13?
10
What is the remainder when 274 is divided by (-10)/35 + 3285/105?
26
Let q be ((-6)/6)/(2/(-12)). Suppose -q*w - w + 343 = 0. What is the remainder when w is divided by 26?
23
What is the remainder when 1038 is divided by 2*-28*22/(-77)?
14
Let p(r) = 3*r + r**2 + 0*r + 13 + 0. Calculate the remainder when p(-7) is divided by 11.
8
Suppose 5*d + 84 = 3*t + 234, 2*d - 56 = 2*t. What is the remainder when d is divided by 16?
1
Let w = 691 - 666. Calculate the remainder when 1097 is divided by w.
22
Let t = 76 + -189. Let z = t + 180. What is the remainder when z is divided by (-3)/(-1*9/51)?
16
Let b = 15 + -6. Suppose u - 2*n - 3*n = -24, 0 = -4*u + 3*n - 181. Let v = 63 + u. Calculate the remainder when v is divided by b.
5
What is the remainder when 116 is divided by (8/10)/((-4)/(-90))?
8
Let f(o) = -o**3 - 4*o**2 + 3*o + 6. Let w be f(-4). Let b(u) = -5*u**2 + 5*u - 1 - 2 - u**3 + 5. What is the remainder when b(w) is divided by 3?
2
Suppose 6*q - 4*c = 148, -c + 53 = 2*q - 6*c. What is the remainder when 405 is divided by q?
21
What is the remainder when (463 - 0 - 1)*(-291)/(-873) is divided by 40?
34
Let s(r) = -r**2 - 3*r + 4. Let p be s(-4). What is the remainder when p/10 - (-104)/1 is divided by 21?
20
Suppose -108 = -2*g + c, -2*g + c - 210 = -6*g. Let j = g - 26. Calculate the remainder when j is divided by 14.
13
Calculate the remainder when 118 is divided by (4 - 6)*(-60)/8.
13
Let h = 14 + -9. Let s(j) = j**3 - 3*j**2 - 2*j + 16. Let v be s(3). Suppose v + 0 = h*d. What is the remainder when d is divided by 2?
0
Suppose -62 = 5*m - 5*x - 162, -70 = -5*m - 5*x. Let n = -41 + m. Calculate the remainder when (-24)/(-8) - (n - 2) is divided by 16.
|
{
"pile_set_name": "DM Mathematics"
}
|
ative of -4*g**5 - 745*g**4/4 + 20*g**3/3 + 745*g**2/2 + 12892. Suppose p(j) = 0. What is j?
-149/4, -1, 0, 1
Let -2/9*n**5 + 24 + 208/9*n + 58/9*n**4 - 34/3*n**3 - 170/9*n**2 = 0. What is n?
-1, 2, 27
Suppose k - 4*r + 8 = -0*r, 4*r + 8 = 5*k. Suppose -k*f + 38 = 30. Let f*d**2 + 6*d + 3*d**3 - 14*d - d**4 + 2*d**2 - d**3 = 0. What is d?
-2, 0, 2
Suppose 208598 = -70*c + 41368. Let a = c - -2392. What is h in -246/5*h**2 + 12/5*h + 48/5 + 12*h**a = 0?
-2/5, 1/2, 4
Let v(k) be the second derivative of 98*k + 42/13*k**2 - 125/39*k**3 + 41/26*k**4 - 3/10*k**5 - 1/195*k**6 + 0. Determine l so that v(l) = 0.
-42, 1
Let s = -85/267 + 201/445. Factor -14/15*w**2 + s*w**3 + 28/15*w - 16/15.
2*(w - 4)*(w - 2)*(w - 1)/15
Let f = -406 + 514. Let g = f - 106. Find c, given that g*c**2 + 1 + 1/2*c**3 + 5/2*c = 0.
-2, -1
Let j(r) = -r**2 - 14*r + 2. Let s be j(-14). Determine h, given that -s*h**3 - 20*h**2 - 5*h - 3*h**5 - 2*h**5 + 10*h**4 + 3*h**3 + 9*h**3 + 10 = 0.
-1, 1, 2
Let u be -5 - ((-6)/(5 + -3) + 4). Let i(t) = -4*t**3 + 10*t**2 - 12*t - 6. Let d(l) = l**3 + 1. Let y(v) = u*d(v) - i(v). Factor y(g).
-2*g*(g - 1)*(g + 6)
Let c(i) be the second derivative of -i**4/30 + 44*i**3/15 - 43*i**2/5 + i - 2524. Find d such that c(d) = 0.
1, 43
Let t(a) be the first derivative of -16/3*a + 4/27*a**3 - 20 + 8/9*a**2. Suppose t(v) = 0. Calculate v.
-6, 2
Suppose 12*x - 182 + 62 = 0. Factor 51*d**4 - 99*d**4 + d**2 + 2*d**5 + 46*d**4 - x*d**3 - 7*d**2.
2*d**2*(d - 3)*(d + 1)**2
Let f be ((-3990)/24 - -4)*-4. Let o = f + -649. Factor 2/3*n**2 + o*n + 0.
2*n**2/3
Let b(k) be the second derivative of k**5/5 - 13*k**4 + 138*k**3 + 7406*k**2 + 5*k. Suppose b(d) = 0. Calculate d.
-7, 23
Let v = 572 + -355. Factor v*i - 4 - 448*i - i**2 + 226*i.
-(i + 1)*(i + 4)
Let h(w) be the first derivative of -w**4/36 + 10*w**3/27 + 175*w**2/18 + 500*w/9 + 1966. Factor h(v).
-(v - 20)*(v + 5)**2/9
Suppose -9 = -15*z + 21. Determine f so that f**3 - 27 + 20*f**z + 15*f**3 - 3*f**4 + 10*f**2 - 16*f**3 = 0.
-3, -1, 1, 3
Let j be 3/90*-1821*(-90)/(-12). Let f = j + 456. What is g in -3/4*g**2 + 0*g**3 + 3/8*g + 0 - 3/8*g**5 + f*g**4 = 0?
-1, 0, 1
Let k(v) = 37*v - 6 + 26 + 12 - 3*v**2 - 14*v. Let g(w) = 2*w**2 - 22*w - 33. Let n(y) = -2*g(y) - 3*k(y). Factor n(r).
5*(r - 6)*(r + 1)
Find m such that -2494833/4*m**2 - 3684750*m**5 + 6654225*m**4 - 44286*m - 4600965/2*m**3 - 3993/4 = 0.
-11/170, 1
Let o = -1220 + 1058. Let p be (o/48)/((-6)/12*3). Factor p*s**3 + 0*s**2 + 0 + 1/4*s**5 + 0*s + 3/2*s**4.
s**3*(s + 3)**2/4
Suppose -27*q = 3*l - 25*q + 4, -2*l = -2*q - 4. Let s(c) be the third derivative of l - 5/72*c**4 + 19*c**2 + 1/36*c**5 + 0*c**3 + 0*c. Solve s(r) = 0 for r.
0, 1
Let -4285*w - 5/2*w**2 - 3672245/2 = 0. Calculate w.
-857
Let u(m) be the first derivative of 5*m**4/18 - 122*m**3/27 + 184*m**2/9 - 328*m/9 + 5540. Factor u(s).
2*(s - 2)**2*(5*s - 41)/9
Let q(c) = 48*c**2 + 10*c + 25. Let j be q(-3). Let r = j + -425. Suppose 0 + 2/17*x**r + 2/17*x = 0. What is x?
-1, 0
Let d(i) = i**2 + 4*i. Let o be d(-6). Let t be (o/(-7))/((-20)/14). Find x, given that 2*x**2 - t*x - 4/5 = 0.
-2/5, 1
Let w be (2*-2)/((-28)/21) - (-169 + 167). Find t, given that 3/5*t**w + 3/5*t + 0*t**4 - 6/5*t**3 + 0 + 0*t**2 = 0.
-1, 0, 1
Let q(w) = w**2 - 9*w + 6. Let k(l) = -l. Let z(h) = -5*k(h) + q(h). Let a be z(3). Let -5 - 3*f**2 - 2*f**2 - a*f + 6*f**2 - f = 0. What is f?
-1, 5
Factor -30819*q - 5*q**2 - 48391605 + 5234*q - 5525*q.
-5*(q + 3111)**2
Let c(d) be the second derivative of -112/3*d**4 - 15 + 2/21*d**7 - 72*d**2 - 8/5*d**6 + d + 70*d**3 + 54/5*d**5. Find h, given that c(h) = 0.
1, 3, 4
Suppose 5*s + 4*u = -3979, 4*s - 5*u = 5*s + 800. Let n = s + 803. Factor 16/7*a**3 + n*a + 2/7*a**4 + 24/7 + 46/7*a**2.
2*(a + 1)*(a + 2)**2*(a + 3)/7
Let j be (-84)/(-308) + 4/(-55). Let k(r) be the second derivative of 0 + j*
|
{
"pile_set_name": "DM Mathematics"
}
|
9232403 prime?
False
Is 2351878 prime?
False
Is 385860311 a composite number?
True
Is 3699583 prime?
True
Is 473726017 prime?
False
Is 829769 prime?
False
Is 4961780815 prime?
False
Is 314941 a composite number?
True
Is 5205637 a prime number?
False
Is 18122977 a composite number?
True
Is 4182857 composite?
True
Is 223706549 composite?
True
Is 497314223 composite?
True
Is 11327579 composite?
False
Is 98318029 a composite number?
False
Is 8146753 a composite number?
True
Is 12622657 prime?
False
Is 32652383 prime?
False
Is 3005089 a prime number?
False
Is 1395099779 a composite number?
False
Is 4225873 prime?
True
Is 175400717 prime?
True
Is 18170819 prime?
True
Is 563879 composite?
True
Is 12384133 composite?
False
Is 8232581 a composite number?
True
Is 396587 a prime number?
False
Is 3276785 a prime number?
False
Is 359837 a composite number?
False
Is 5142751 a prime number?
True
Is 1851841 a prime number?
True
Is 277653869 composite?
True
Is 4114987 prime?
False
Is 8956033 a composite number?
True
Is 7885693 composite?
False
Is 380469 a prime number?
False
Is 854683 a prime number?
True
Is 45480703 a prime number?
True
Is 241077223 prime?
True
Is 28970531 composite?
False
Is 323233 a prime number?
True
Is 3441367 prime?
True
Is 94104277 a prime number?
False
Is 1134853 a composite number?
True
Is 408646729 a composite number?
False
Is 2290481 composite?
True
Is 78550903 prime?
True
Is 11582477 a prime number?
True
Is 1299751 prime?
False
Is 78585631 a composite number?
False
Is 84597923 a prime number?
True
Is 7506509 a prime number?
True
Is 289050551 a composite number?
True
Is 224410757 composite?
False
Is 1117411 composite?
True
Is 8245343 prime?
True
Is 21841195 composite?
True
Is 1146743 a prime number?
False
Is 301944311 a prime number?
True
Is 2067189 composite?
True
Is 1384102 composite?
True
Is 24401393 a prime number?
False
Is 470243 composite?
False
Is 176964685 composite?
True
Is 24014071 a prime number?
True
Is 4125733 a composite number?
True
Is 17517473 prime?
True
Is 49304935 prime?
False
Is 7666213 a composite number?
False
Is 391479491 prime?
False
Is 189249343 composite?
True
Is 83587754 a prime number?
False
Is 23000687 composite?
True
Is 34000591 a prime number?
True
Is 349000867 a composite number?
False
Is 935687 composite?
False
Is 16071747 a composite number?
True
Is 83098537 a prime number?
True
Is 5155577 prime?
False
Is 914491 composite?
False
Is 4825477 composite?
True
Is 7636438 composite?
True
Is 2869397 a composite number?
True
Is 2555887 a composite number?
True
Is 413794037 composite?
False
Is 3674417 a prime number?
True
Is 3433099 composite?
True
Is 78400019 a composite number?
False
Is 18480881 prime?
True
Is 1937879 a composite number?
False
Is 35399873 prime?
True
Is 60110873 prime?
False
Is 25353514 a prime number?
False
Is 57342871 composite?
False
Is 112382371 a composite number?
False
Is 61783223 a composite number?
False
Is 153718867 prime?
False
Is 80623531 prime?
True
Is 7016941 a prime number?
True
Is 5887579 prime?
False
Is 17562179 a prime number?
False
Is 1364581 a composite number?
False
Is 139993967 a prime number?
False
Is 254238287 prime?
True
Is 6029729 prime?
False
Is 88511083 a prime number?
True
Is 29717 a composite number?
False
Is 6461773 prime?
True
Is 19308337 a composite number?
False
Is 331243 a composite number?
True
Is 1814203 composite?
True
Is 1916633 composite?
False
Is 4785727 prime?
False
Is 33964471 composite?
True
Is 55411 prime?
True
Is 5362649 a composite number?
True
Is 3976001 a prime number?
True
Is 188185861 composite?
True
Is 228606671 composite?
False
Is 25596719 a prime number?
True
Is 32364739 a prime number?
False
Is 98138891 composite?
False
Is 800365 a prime number?
False
Is 18861 composite?
True
Is 6056053 a composite number?
False
Is 249503797 composite?
False
Is 5328073 composite?
True
Is 1496683 a composite number?
True
Is 14158357 a prime number?
True
Is 40253347 prime?
True
Is 1326673 a composite number?
False
Is 17395802 prime?
False
Is 83916653 composite?
False
Is 2954531 composite?
False
Is 213437 composite?
True
Is 6004997 prime?
False
Is 2699213 prime?
False
Is 17221031 a composite number?
False
Is 55085249 prime?
True
Is 1230529 composite?
False
Is 23106779 prime?
False
Is 148739 a prime number?
False
Is 2131033 prime?
False
Is 4114691 a composite number?
True
Is 45084467 prime?
True
Is 23352131 a composite number?
True
Is 12578729 a composite number?
True
Is 63938249 a composite number?
True
Is 29832797 a composite number?
False
Is 2608451 a prime number?
False
Is 27337931 composite?
True
Is 6927611 a prime number?
True
Is 13058597 prime?
True
Is 345943891 a prime number?
True
Is 930377 a composite number?
True
Is 74192203 prime?
True
Is 544501 a prime number?
True
Is 123200587 a composite number?
True
Is 805339 a composite number?
False
Is 43514633 prime?
False
Is 11914179 prime?
False
Is 1540541 a composite number?
False
Is 22600961 prime?
False
Is 2474183 composite?
False
Is 27525697 a prime number?
True
Is 682846 a prime number?
False
Is 8431451 a prime number?
False
Is 2138533 composite?
True
Is 304899629 prime?
True
Is 2391877 a prime number?
False
Is 13969 a prime number?
False
Is 8594219 a prime number?
True
Is 183083969 prime?
True
Is 4841597 composite?
True
Is 22429727 prime?
False
Is 26937305 composite?
True
Is 12558011 composite?
True
Is 1075601 prime?
True
Is 473245 a composite number?
True
Is 12091971 prime?
False
Is 236542889 a prime number?
False
Is 476259659 prime?
True
Is 1024003 composite?
True
Is 13639181 a composite number?
False
Is 6831091 a prime number?
True
Is 5074633 prime?
True
Is 55279307 a composite number?
True
Is 25904815 a composite number?
True
Is 85571 prime?
True
Is 5697523 a prime number?
False
Is 31583023 a prime number?
True
Is 262285763 composite?
False
Is 52227221 composite?
False
Is 27595349 prime?
False
Is 3683879 a prime number?
True
Is 139794427 prime?
True
Is 111017341 prime?
False
Is 149689 a prime number?
True
Is 1309081001 a composite number?
False
Is 1028567 a composite number?
True
|
{
"pile_set_name": "DM Mathematics"
}
|
= 2*y - 5*b, 15 = y - 3*b. List the prime factors of 1*(-2 - y) - -30.
2, 7
Suppose 5*x - 238 = 3*b + 239, 4 = 4*b. Suppose x = n + 2*n. Let i = n - 18. What are the prime factors of i?
2, 7
Let c be (1/3)/(1/12). Let g be 2/c*10*8. Suppose 4*o - g = -0*o. What are the prime factors of o?
2, 5
Let f = -64 - -81. What are the prime factors of f?
17
Suppose 4*a + 1734 = 10*a. What are the prime factors of a?
17
Suppose -m + 5*u + 8 = -14, 12 = -3*u. Let j be 14 + (-2)/m + 3. Let w = j + -11. What are the prime factors of w?
5
Let t(x) = x**2 - 2. Suppose 3*k + 2*k = 15. Let d be t(k). Let i = 14 - d. List the prime factors of i.
7
Suppose -5*h - 5 + 0 = 5*i, -4*i + h = -1. Let l be (0 - -3) + 0 + i. Let o = 8 - l. List the prime factors of o.
5
Let y = -1 - 6. Let j = y + 19. What are the prime factors of j?
2, 3
Suppose j = 3*v - 94, 2*j + 122 = 4*v - j. List the prime factors of v.
2
Suppose 8*b - 3*b = 10. Suppose -5*j = 4*x - 3, b*j + 7*x - 3*x - 6 = 0. What are the prime factors of 0/j - (-5 + 3)?
2
Suppose -4*z + 9 = -11. Suppose -z*f + 36 = -2*f. List the prime factors of f.
2, 3
Suppose -2*k - c + 3*c + 174 = 0, -3*k = c - 241. List the prime factors of k.
2, 41
Let m be (6 - 3) + -1 + 3. Let g = m - -2. What are the prime factors of g?
7
Let r(q) = q + 4. Let o(g) = -2*g - 9. Let m(p) = 3*o(p) + 5*r(p). List the prime factors of m(-12).
5
Let r = 81 - -37. List the prime factors of r.
2, 59
Let c(u) = 328*u**2 + 2*u + 2. What are the prime factors of c(-1)?
2, 41
Suppose 0 = -3*i - 4*t + 453, -2*i + 2*t + 302 = -3*t. What are the prime factors of i?
151
Let u = -1 - -16. What are the prime factors of u?
3, 5
Let f = -223 - -349. What are the prime factors of f?
2, 3, 7
Let t be (-2 - (-4 - -2))/(-2). Suppose 4*w - w - 93 = t. List the prime factors of w.
31
Suppose -168 = -2*k - 2*k - 3*f, 5*k = -f + 210. What are the prime factors of k?
2, 3, 7
Suppose -y - 4*c - 1 = -2, 0 = -3*y - 5*c + 10. Suppose y*a - 5 = -5*b, 2 = -3*a - 4*b + 3. What are the prime factors of a?
3
Let q be (-3)/9*(1 - 1). Let t(m) = -m + 24. What are the prime factors of t(q)?
2, 3
Suppose -19 - 1 = -5*c. Let z(h) = h**3 - 3*h**2 - 3*h + 2. What are the prime factors of z(c)?
2, 3
Suppose -5*l + 475 = -0*l. Suppose 10*g - l = 5*g. List the prime factors of g.
19
Let u(o) = o**2 - o + 1. Let p be u(1). Suppose p + 0 = -w. What are the prime factors of 0 + 2 + 0 - w?
3
Let c be (-6)/(-5)*5/2. What are the prime factors of 4/(1 + c) + 18?
19
Suppose 12 = 5*k - 3. Suppose k = d + 1. Suppose -3*g = d*g - 75. List the prime factors of g.
3, 5
Let r = 869 - 621. What are the prime factors of r?
2, 31
Suppose -5*x + 20 = 3*g - 0, 3*x - 12 = -4*g. Suppose -4*n + 0 + x = 0. Suppose c - a - n = 1, a = 5*c - 18. What are the prime factors of c?
2
Let y be 25/4 + (-5)/20. Suppose 0*z + 198 = y*z. List the prime factors of z.
3, 11
Let o be (2/4)/((-4)/(-88)). Let a be (1 + o)*(-1)/(-3). Suppose -a*l = l - 20. What are the prime factors of l?
2
Let b(o) = -2*o**3 - 5*o**2 - 2*o + 4. Let w be b(-4). Suppose 2*p = 6, -w = -2*g - 3*p - 9. List the prime factors of g.
3, 7
Suppose -4*r - 4*c - 60 - 8 = 0, -4 = -4*c. Let s be (-15)/(-2) - 9/r. Suppose z + 0*z - s = 3*u, -4*z - 5*u = -83. What are the prime factors of z?
17
List the prime factors of 33 - (2 + (-4 - -6)).
29
Suppose -4*w + 2*t = 16, 0*w + 5*t = 2*w + 24. Suppose -p + 2 = 0, -4*p + 13 = -k - 1. List the prime factors of (k + 5)/(w/26).
13
Let s(n) = 39*n**2 - 1. What are the prime factors of s(1)?
2, 19
Let d(l) = -2*l + 7. Let c be d(5). Let w be (2/c)/((-2)/(-12)). List the prime factors of (-98)/w - 6/4.
23
Let c = 191 - 110. List the prime factors of c.
3
Suppose 3*q + u = 22, 0 = -4*q + q + 5*u + 34. Suppose -4*o - 48 = -q*o. List the prime factors of o.
2, 3
Let f(g) = 2*g**2 + 5*g + 3. Suppose 57 = 4*o - 3*n, o - 3*o - 2*n + 32 = 0. Suppose -2*s - 3*s - o = 0. List the prime factors of f(s).
2, 3
Suppose -4*u + 35 = c, 2*u + 2 = u. Suppose -4*w + c = o, -5*w - 17 = o - 70. List the prime factors of w.
2, 5
Let d be 2 + (0 - (0 + 2)). Let t(o) = o**2 + 51. Let g be t(d). Suppose -4*i + 70 = 5*h + i, 4*h + 3*i - g = 0. List the prime factors of h.
3
Let k be 1 - -1 - 29/(-1). Suppose 0 = -5*h + 3*p + 15, -5*p + k = h. Suppose -4*r - h = -2*z, -z - r - 1 = -16. What are the prime factors of z?
11
Let y = -22 - -37. Let d be (-3 - 33/(-9))*30. Suppose m = -5*k - 21, 3*k + y + d = 5*m. What are the prime factors of m?
2
List the prime factors of 138/2*(-7)/(-21).
23
Let m = 38 - 53. Let z = m - -36. List the prime factors of z.
3, 7
Let m(p) be the third derivative of -p**5/60 + 11*p**4/24 + 8*p**3/3 + 3*p**2. What are the
|
{
"pile_set_name": "DM Mathematics"
}
|
vide 10255 by -3.
-10255/3
What is -12985 divided by 371?
-35
Calculate -1 divided by 358457.
-1/358457
What is -610776 divided by -2?
305388
Calculate 2609482 divided by -2.
-1304741
Divide 3100 by -10.
-310
5 divided by 9117
5/9117
Divide 2 by -129644.
-1/64822
What is -106 divided by -9045?
106/9045
What is 608036 divided by 152009?
4
-2076 divided by -172
519/43
Calculate -90450 divided by -11.
90450/11
-5 divided by 295
-1/59
What is -153 divided by -1804?
153/1804
Divide 149985 by -9.
-16665
-1242 divided by 113
-1242/113
Calculate 201957 divided by -3.
-67319
126482 divided by -126482
-1
What is -3337 divided by 3?
-3337/3
Divide 5 by 15138.
5/15138
Divide 24 by 572.
6/143
Calculate 2324584 divided by 1.
2324584
Divide 130339 by -3179.
-41
Calculate 228409 divided by -3.
-228409/3
Divide -1084 by -68.
271/17
Divide 0 by -177885.
0
-597415 divided by -597415
1
714552 divided by 6268
114
Divide -3 by 7367.
-3/7367
Calculate -820 divided by -30.
82/3
Divide -2 by -5205.
2/5205
What is 4470 divided by 1490?
3
-6546 divided by -3273
2
6 divided by 624814
3/312407
Divide 5 by -215180.
-1/43036
What is -11536 divided by -206?
56
Divide 96 by -50.
-48/25
4 divided by -449349
-4/449349
Calculate 43 divided by -360.
-43/360
-2 divided by 24274
-1/12137
What is 2622 divided by -1311?
-2
Calculate 109744 divided by 16.
6859
Divide -63825 by -2553.
25
Calculate 177276 divided by -22.
-8058
12840 divided by -60
-214
Calculate 4 divided by -191858.
-2/95929
What is -78 divided by 224?
-39/112
Calculate 39000 divided by -500.
-78
What is -446 divided by 28?
-223/14
Calculate 197160 divided by -4.
-49290
Calculate -26840 divided by 6710.
-4
Calculate -807976 divided by 8.
-100997
What is -7304 divided by -443?
7304/443
Divide -11916 by -350.
5958/175
36756 divided by 36756
1
Divide 212 by 561.
212/561
-8048 divided by -39
8048/39
What is 946890 divided by 1670?
567
What is 0 divided by 86251?
0
0 divided by -241029
0
-449064 divided by -54
8316
Calculate -182615 divided by -8.
182615/8
What is -49614 divided by 4?
-24807/2
What is 73 divided by 2344?
73/2344
-80674 divided by 19
-4246
Calculate 2746957 divided by 3.
2746957/3
Calculate 4418 divided by -4.
-2209/2
Calculate 40890 divided by -141.
-290
Divide -19548 by 3258.
-6
Divide 1022028 by -7406.
-138
Divide 65739 by 3.
21913
Divide 67 by 258.
67/258
Calculate -49500 divided by 45.
-1100
Divide -75300 by 15060.
-5
What is -12322299 divided by 3?
-4107433
What is -62360 divided by 31180?
-2
What is 204720 divided by 3?
68240
Divide -7788 by -3.
2596
Divide 172008 by -4.
-43002
Calculate -9088 divided by -64.
142
-44048 divided by -22024
2
What is -7 divided by -1328?
7/1328
Calculate 4 divided by 134899.
4/134899
991 divided by 49
991/49
Divide -197225 by 35.
-5635
830680 divided by -10
-83068
-144 divided by 15214
-72/7607
Calculate 3324 divided by -3.
-1108
Divide -14 by 1075.
-14/1075
What is -310450 divided by 310450?
-1
Divide 97 by 193.
97/193
Calculate 110952 divided by 9.
12328
Divide -87278 by 17.
-5134
Calculate 1377874 divided by 382.
3607
Divide 58689 by 5.
58689/5
Divide 2 by -65519.
-2/65519
Calculate 8 divided by -390.
-4/195
Divide -107095 by 5.
-21419
Calculate 53690 divided by -413.
-130
What is -1024130 divided by -5?
204826
-371434 divided by 53062
-7
Divide 148 by 1327.
148/1327
Calculate -1524999 divided by 719.
-2121
Divide 147564 by -9.
-16396
Calculate 18946 divided by -5.
-18946/5
Divide 4020 by 29.
4020/29
What is 1757 divided by -19?
-1757/19
Divide 914040 by -2.
-457020
Divide 653860 by -130772.
-5
Divide -50 by -253.
50/253
-38891 divided by -26
38891/26
Divide -6301 by -4.
6301/4
Divide 0 by -917350.
0
Divide 181168 by -13.
-13936
What is -379656 divided by -31638?
12
What is -319692 divided by 12?
-26641
Calculate 38422 divided by -6.
-19211/3
What is 117133 divided by -117133?
-1
Divide 1691 by 193.
1691/193
Calculate -215 divided by 996.
-215/996
Calculate 4474 divided by 110.
2237/55
Divide -276330 by -2.
138165
Divide 1429 by 34.
1429/34
What is -256390 divided by -51278?
5
Calculate -70056 divided by 17514.
-4
What is 3683676 divided by -2446?
-1506
Divide -5907 by 26.
-5907/26
-1889697 divided by 3
-629899
Calculate -64311 divided by -291.
221
Divide -20996 by -35.
20996/35
32700 divided by 436
75
Calculate 7176 divided by -1794.
-4
What is 12271 divided by 12271?
1
Divide -2 by 3912.
-1/1956
Calculate 4 divided by 13835.
4/13835
12964 divided by -6482
-2
Divide -780066 by -1722.
453
What is 6880 divided by 688?
10
-1258528 divided by -314632
4
366166 divided by 2
183083
Calculate -196403 divided by 19.
-10337
Calculate 491436 divided by -374.
-1314
Divide -12324 by 4.
-3081
Divide -4236 by -95.
4236/95
What is 63629 divided by -49?
-63629/49
What is 13 divided by 1848?
13/1848
What is -1 divided by -993210?
1/993210
238 divided by -2
-119
2830 divided by -283
-10
What is -157294 divided by -43?
3658
Calculate 30 divided by -35109.
-10/11703
Calculate 2 divided by -15496.
-1/7748
What is 3751 divided by 45?
3751/45
Divide 2 by -111368.
-1/55684
Calculate 512710 divided by -158.
-3245
Divide -2119 by -13.
163
Divide -19140 by 1276.
-15
What is -6 divided
|
{
"pile_set_name": "DM Mathematics"
}
|
digit of m?
2
Let j(g) = g + 1. Let x be j(-7). Let a = -3 - x. What is the units digit of a?
3
What is the units digit of (24/9 + -3)*-45?
5
Let b(l) = 13*l - 10. What is the tens digit of b(3)?
2
Let h be -9 + (-1 - 0) + 3. Let p(l) = l + 9. What is the units digit of p(h)?
2
What is the tens digit of (1 + -4)/((-30)/710)?
7
Suppose -2*s + 11 = c, 21 = 5*s - 6*c + 2*c. Let q(l) = -l**2 + 5*l + 6. What is the units digit of q(s)?
6
Let r(j) = 6*j + 3. Let n be r(5). Suppose 81 = 5*s + a, 4*a = s - n - 0. What is the tens digit of s?
1
Suppose 0*q - 15*q + 90 = 0. What is the units digit of q?
6
Let x(y) = 162*y**2 + 3*y + 3. What is the tens digit of x(-1)?
6
Suppose -7*w + 86 = -292. What is the tens digit of w?
5
Suppose -8*d - d + 675 = 0. What is the tens digit of d?
7
Let m(p) = -p. Let u(y) = -y**2 - 17*y - 10. Let x(w) = -6*m(w) + u(w). What is the units digit of x(-4)?
8
Suppose -7*n = -5*n - 74. What is the tens digit of n?
3
Suppose 3*x - 5 = 31. What is the tens digit of x?
1
Suppose 6 + 3 = 3*w. Suppose -h = -0*h - w. What is the units digit of 2/h*(2 - -25)?
8
Let r(i) = 2*i**2 + 6*i - 5. Let c be r(-6). Let z = 38 + -60. Let y = z + c. What is the units digit of y?
9
Let m(a) be the first derivative of 4*a**2 - 2 + 0*a**2 - 2*a + 1 - 3*a**2. What is the units digit of m(3)?
4
Suppose -5*o = -5*f - 45, -4*f - 5*o + 1 = 10. Let d(h) = h + 7. What is the units digit of d(f)?
1
Let q(c) = -c - 5. Let g be q(4). Let n be (-4)/18 + (-47)/g. Suppose -n = 3*i - 23. What is the units digit of i?
6
Let u(z) = 2*z + 14 + 0*z - z**3 - z**2 - 6*z + 5*z. What is the tens digit of u(0)?
1
Let z(c) be the second derivative of 0 - 1/20*c**5 - c + 5/2*c**2 - 7/12*c**4 + 0*c**3. What is the units digit of z(-7)?
5
Suppose -3*p - 33 = -99. Suppose -g = -2*t - t + p, 2*t = 4*g + 8. What is the units digit of t?
8
Suppose z + 1 = 2. Let o(h) = 5*h**2 + 2*h - 1. Let i be o(z). Suppose 24 = 3*a + i. What is the units digit of a?
6
Let q(l) = 1 - 6 + 4*l - 2*l. Let i be q(6). Suppose c = -4*b + i + 25, 2*b = -c + 14. What is the units digit of b?
9
Suppose -5*j - 31 = -2*m, -2*m = j - 7 - 6. Suppose -5*f = -2*q - 68, 3*f - 35 - m = -q. What is the units digit of f?
4
Let n be -16*(-3)/(-9)*3. Let l be 9/(-6)*n/6. Suppose l*j - 3*j - 3 = 0. What is the units digit of j?
3
Let n = 13 + -2. Suppose 7*f - 2*f - 115 = -5*o, 3*f = o - n. What is the units digit of o?
0
Suppose -4*m + 733 - 165 = 0. Let s = m + -50. Suppose t - 5*t - s = -4*v, -t + 109 = 5*v. What is the tens digit of v?
2
Let r(n) = -n**2 + 16*n - 11. What is the tens digit of r(8)?
5
Let f(p) = -p - 3. Let u be f(-6). Suppose -n + u*l = 3*n - 85, 3*n = 5*l + 61. What is the units digit of n?
2
Let m(k) = 3*k**3 + 3*k - 6. What is the tens digit of m(3)?
8
Suppose 3*y + 150 = 6*y. Suppose -i - 19 + 84 = 5*d, 5*d - y = 2*i. What is the tens digit of d?
1
Let d(a) = 9*a**2 - a - 4. What is the units digit of d(-2)?
4
Suppose 19 = 5*k + 4. Suppose 108 = k*f + f. What is the tens digit of f?
2
Let d(g) = g + 3. Let k be d(-3). Suppose 2*z - 22 = -k*z. What is the tens digit of z?
1
Let j(a) = 7*a + 77. What is the units digit of j(24)?
5
Suppose -4*o - 29 = a, -3*a + 2*o + 21 = -4*a. Let u(t) = -t**3 - 12*t**2 - 10*t + 4. Let k be u(-11). Let q = k - a. What is the units digit of q?
6
Let l(i) = 2*i - 12. Let y = -5 - -16. What is the units digit of l(y)?
0
Let l(h) = h**3 + 3*h**2 - 4*h + 3. Let j be l(-4). Suppose z + 2*z - j = 0. What is the units digit of z?
1
Let h(y) = -4*y + 41. What is the units digit of h(-21)?
5
Let w(k) = -k**2 - 22*k + 6. What is the tens digit of w(-14)?
1
Let t(b) = b**2 - 5*b + 1. What is the units digit of t(5)?
1
Let n(h) = -h**3 + 7*h**2 - 7*h. What is the tens digit of n(4)?
2
Let v = 6 + -1. Let g be v/3 - 2/(-6). What is the units digit of 16/2 - 0 - g?
6
Let i(j) = -27*j**3 + 2*j**2 - 3*j + 2. Let n be i(1). Let u be 230/6 - 4/(-6). Let p = u + n. What is the tens digit of p?
1
Suppose -4*v - 44 = -4*r, 5*v - 3*v = r - 20. Let j = v + 14. What is the units digit of j?
5
Let y(z) = -2*z + 9. Let v be y(4). What is the units digit of (v - 5)/(4/(-6))?
6
What is the units digit of ((-3)/(-2))/((-39)/(-910))?
5
Let y be 0 - (0/(-1) + -1). Let s = 3 + y. Suppose 0 = -k + s + 2. What is the units digit of k?
6
Suppose -3*t + 419 = 5*q, t - 401 = -5*q + 4*t. What is the tens digit of q?
8
Let h be -1 - ((-1)/(-1) - 3). Suppose -h = -s + 1. Suppose -s*d = 2*q - 32, -q = 2*d - 21 - 10. What is the tens digit of d?
1
Let i(v) = 12*v - 13.
|
{
"pile_set_name": "DM Mathematics"
}
|
*4
Let k(m) = -4*m. Let z(d) = -107*d + 24*d + 326*d. Determine z(k(s)).
-972*s
Let n(y) = -39959*y**2. Let q(b) = -b**2. Give q(n(m)).
-1596721681*m**4
Let j(n) = -n**2 - n + 12. Let w be j(3). Let i(v) be the third derivative of w + 0*v - 1/30*v**5 - v**2 + 0*v**3 + 0*v**4. Let q(d) = -2*d. What is i(q(b))?
-8*b**2
Let c(p) = 17*p**2. Let l be ((-4)/(-4)*-1)/((-2)/326). Let q(i) = -82 - 81 + i + l. Give q(c(k)).
17*k**2
Let t(q) = -2*q. Suppose -2*f + 5*l + 22 = -3, 4*l = -20. Let p(h) = 0*h + 22*h**2 - 21*h**2 + f*h. Determine t(p(r)).
-2*r**2
Let p(g) = 6*g - 157. Let y(f) = -440*f - 1. Determine p(y(x)).
-2640*x - 163
Let d(l) = -10*l. Let s(v) = -17*v**2 + 47 - 73 + 26. Calculate d(s(c)).
170*c**2
Let z(f) = 16*f + 11. Let p(j) = -59*j. Determine z(p(i)).
-944*i + 11
Let k(s) = 5*s**2. Let o(i) = i + 1. Let w(v) = 5*v + 4. Let x(f) = -11*o(f) + 2*w(f). Let u(g) = -2*g - 7. Let a(l) = 6*u(l) - 14*x(l). Give k(a(y)).
20*y**2
Let p(a) be the first derivative of -5/2*a**2 + 0*a + 3. Let c(u) = -u. Calculate p(c(j)).
5*j
Let i(t) be the third derivative of -11*t**5/60 - 4*t**2. Let r(c) = 358*c - 181*c - 175*c. Give r(i(v)).
-22*v**2
Let f(i) = -16*i**2 + 65*i**2 - 24*i**2 - 22*i**2. Let c(a) = 141*a**2 - 1. Give c(f(z)).
1269*z**4 - 1
Let j(v) = -v**2 + v + 1. Let i(x) = 2*x**2 + 2*x + 2. Let k(d) = i(d) - 2*j(d). Let y(l) = 5*l + 5. What is k(y(h))?
100*h**2 + 200*h + 100
Let o(v) = -4 + 3 + 7083*v**2 + 1 - 7092*v**2. Let q(z) = 22*z. What is o(q(l))?
-4356*l**2
Let o(z) = 3*z + 5. Let b(q) = -2*q - 3. Let k(r) = -5*b(r) - 3*o(r). Let j = 544 - 383. Let f(w) = 161 + 5*w - j + 7*w. What is f(k(u))?
12*u
Let m(o) = -4*o. Let i(d) be the first derivative of 37*d**2 - 202. Calculate i(m(f)).
-296*f
Let a(v) = 12*v. Let c(h) = -h + 104. Let n(l) = l - 86. Let o(f) = -3*c(f) - 4*n(f). Determine o(a(s)).
-12*s + 32
Let i(l) = 24*l**2. Let p(g) = 34 + 14 + g**2 - 48 - 7*g**2. Give i(p(k)).
864*k**4
Let c(s) = -12*s - 1. Let i(b) = -b - 10*b + 3*b - 9*b + b. Give i(c(v)).
192*v + 16
Let x(i) = 490*i**2. Let s(k) = -410*k**2. Give s(x(b)).
-98441000*b**4
Let r(l) = 2*l**2 - l - 3. Let i(y) = 616*y**2 - 22*y - 66. Let o(s) = -i(s) + 22*r(s). Let m(u) = u**2. Calculate o(m(a)).
-572*a**4
Let s(p) = -13*p**2. Let d(j) = j + 1. Let l(x) be the third derivative of 7*x**4/24 + 2*x**3/3 - 32*x**2 + 2. Let h(g) = 4*d(g) - l(g). Give h(s(v)).
39*v**2
Let a(f) be the third derivative of -f**5/4 - f**2. Let m(x) be the second derivative of x**3/6 - 5*x - 129. Calculate a(m(o)).
-15*o**2
Let s(y) = -9*y**2. Let k(l) be the second derivative of -25*l**3/6 + 16*l - 6. Calculate s(k(r)).
-5625*r**2
Let f(r) = -r**2 - 5*r - 1. Let k(c) = -9*c**2 - 90*c - 18. Let t(j) = 18*f(j) - k(j). Let v(o) be the third derivative of o**5/30 + o**2. Calculate v(t(y)).
162*y**4
Let n(r) = -2*r. Suppose 0 = 5*z + 6 - 36. Let t(y) = -7*y**2 + 5*y - 5*y - z*y**2. What is t(n(p))?
-52*p**2
Let h(u) = 7*u**2. Let b(v) = 139508*v. What is b(h(j))?
976556*j**2
Let b(x) = -113*x**2 + 2*x - 659. Let j(v) = 6*v**2. What is b(j(t))?
-4068*t**4 + 12*t**2 - 659
Let t(o) = -o - 38. Let q(x) = 29*x**2 + x. Give t(q(i)).
-29*i**2 - i - 38
Let a(t) = -4*t. Let f(m) = 14754*m. Determine f(a(i)).
-59016*i
Let j(f) = -5*f. Let h(o) = 3066*o**2 + 67*o. Determine j(h(q)).
-15330*q**2 - 335*q
Let c(u) = -4*u**2. Let v(p) = -8*p - 5*p - 1 + 15 - 17. Give v(c(y)).
52*y**2 - 3
Let d(t) be the second derivative of 0 + 0*t**3 + 5/6*t**4 - 6*t + 0*t**2. Let v(j) = 2*j - j + 2*j - 4*j. What is v(d(b))?
-10*b**2
Let t(k) be the first derivative of 61*k**2/2 + 697. Let o(y) = 2*y. Calculate o(t(f)).
122*f
Let b(u) = 8*u**2. Let m(k) be the first derivative of 5*k**3/3 - 59. Calculate m(b(z)).
320*z**4
Let u(j) = -2*j. Let d(z)
|
{
"pile_set_name": "DM Mathematics"
}
|
= 4*g - 35200, 21*g + 5*n + 8800 = 22*g. Is g a multiple of 100?
True
Let s = -78 + 122. Suppose 0 = -a - 3*r + 4, 3*a = a + 3*r + s. Is a a multiple of 3?
False
Let s be -50*(168/30 - 5). Let z be 114/4*(-4)/3. Let n = s - z. Is 8 a factor of n?
True
Suppose 0 = 9*o - 13*o + 60. Let h be 4*(o/2 + 3). Suppose 3*m - h = 6. Is m even?
True
Let q(w) = -5*w**2 - 8*w + 8. Let i be q(1). Does 29 divide i/(-30) + 3479/6?
True
Suppose 17*u = 15*u + 238. Suppose 5*z = 2*l - 88, 0*l - z - u = -3*l. Is 13 a factor of 4/16 + l/4 + 3?
True
Suppose 3*t - 8666 = 2*d, -d - 103 = -105. Does 34 divide t?
True
Let w be (-3*(-24)/45)/((-2)/5). Let g(f) = 0*f + 2*f + 4*f**2 + 2*f + 8. Is g(w) a multiple of 14?
True
Let w(x) be the first derivative of x**3/3 - 2*x**2 + 24*x - 6. Is w(-8) a multiple of 6?
True
Let u(p) = -57*p - 667. Is u(-34) a multiple of 13?
False
Let u(h) = -h**3 + 10*h**2 + 3*h - 9. Let k be (-4*4/24)/((-1)/15). Does 6 divide u(k)?
False
Does 116 divide ((-744)/10)/((792/35728)/((-30)/7))?
True
Let w be -4 + (-17 + 1)/(-4). Suppose 0 = -3*g - w*g + 12. Does 22 divide 0/6 + 352/g?
True
Let a = 353 + -339. Suppose -a*o + 12*o = -154. Is o a multiple of 30?
False
Let g(k) = 2186*k**2 + 46*k + 42. Does 3 divide g(-1)?
False
Suppose 3*v + 25 - 247 = -3*d, d = 2*v + 83. Let n = 229 + d. Does 18 divide n?
True
Is 16 a factor of (249570/(-1175))/((-6)/130)?
False
Let v be (-87)/18 - 9/54. Let g(z) = z**3 + 3*z**2 - 11*z - 3. Let a be g(v). Is 19 a factor of (4/(-8) + 0)/(a/(-260))?
False
Let x be (8 - 3) + (-1 - -1). Suppose -f - 44 = x*t - 9*t, 4*t + 3*f = 44. Does 11 divide t?
True
Suppose -13*s + 1467 = -4*s. Suppose 599 = 2*j + s. Does 22 divide j?
False
Let f(r) = -7*r - 57. Let k(z) be the third derivative of -z**4/3 - z**3/2 - 40*z**2. Let t be k(2). Is 5 a factor of f(t)?
False
Let a = 19582 - 15607. Is 30 a factor of a?
False
Let g(l) = l**2 + 349. Let d be g(0). Suppose y + 5*y - 161 = -149. Suppose 0 = 2*z - 5*z - c + d, 226 = y*z - c. Is 47 a factor of z?
False
Suppose 3*m + 246 = 1206. Does 55 divide (m/12)/16 - 1315/(-3)?
True
Let w = 535 - 533. Is (w - 1) + -5 - (-25 + -290) a multiple of 31?
False
Suppose 4*i - 82 = 206. Let b = -38 + i. Is b a multiple of 4?
False
Does 31 divide ((-4)/3 + (-2366678)/732)*-2?
False
Let j = 392 - 392. Suppose j = 15*f - 1297 - 893. Is f a multiple of 10?
False
Let o(b) = 3*b**3 - 29*b**2 + 147*b + 30. Let q(m) = m**3 - m - 5. Let v(c) = o(c) - 2*q(c). Is 32 a factor of v(24)?
True
Let u = -153 + 157. Suppose 0 = -9*a + u*a + 600. Is a a multiple of 24?
True
Let z = -123 - -123. Suppose 3*a - k = 302, -4*k + z*k - 508 = -5*a. Is 8 a factor of a?
False
Let w(o) = -2*o**2 + 77*o - 128. Let q be w(37). Let r(p) = 5*p**2 + 65*p + 6. Does 15 divide r(q)?
False
Let x(d) = -161*d**3 - 2*d**2 + d + 2. Suppose -66 = -2*o + o. Let y = o - 67. Is x(y) a multiple of 16?
True
Let x(g) = 40*g**2 + 61*g - 58. Does 5 divide x(-22)?
True
Suppose -39*f + 1294 = -11537. Suppose 11*o + f = 1088. Is 23 a factor of o?
True
Suppose 143*o - 21*o - 1288587 = 11933. Does 13 divide o?
True
Suppose -2*c = -5*v - 29485, -163*v = -164*v + 7. Does 13 divide c?
False
Let m(s) = 300*s - 135. Let q(j) = 299*j - 134. Let w(g) = 4*m(g) - 3*q(g). Does 35 divide w(6)?
True
Let o be (3/3)/((-2)/6). Let m(l) = -l**3 - 3*l**2 - 2*l - 9. Let i be m(o). Let a(v) = -2*v**3 - v**2 + 2*v + 2. Does 8 divide a(i)?
False
Let r = -53 + 53. Suppose 5*b - 816 - 614 = -5*z, -3*b + 4*z + 879 = r. Is 33 a factor of b?
False
Let y = 864 - 859. Suppose -5*w + 2*p = -1599, -3*w + 597 = y*p - 350. Is w a multiple of 28?
False
Let z = 9656 + -7100. Is z a multiple of 3?
True
Let n = 294 + -297. Is 20526/27 + n/((-135)/(-10)) a multiple of 20?
True
Let l(k) = 2*k**2 + 4*k - 20. Let c(d) = d**2 + 9*d + 8. Let m be c(-7). Does 11 divide l(m)?
False
Let s be 483/115 + 3/(-15). Suppose -s*w + 1128 = -5*q - 882, -4*w - q + 2022 = 0. Is 42 a factor of w?
False
Let c(s) = -116*s**2 - s + 25030. Does 10 divide c(0)?
True
Suppose 28*l - 29*l + 2592 = 0. Suppose 31*o = 22*o + l. Is 18 a factor of o?
True
Suppose -6 = 9*i - 42. Let a(v) be the first derivative of 14*v**3/3 - 10*v**2 + 3*v + 1. Is a(i) a multiple of 21?
True
Suppose 2*v + 5*t = 103, -4*v + 0*v + 5*t + 221 = 0. Is 11 + 11136/v - 2/9 a multiple of 7?
True
Let n(z) = 32*z**2 - 29*z**2 - 21*z - 13*z. Is 58 a factor of n(-8)?
True
Suppose 0 = 1134*w - 1174*w + 1048000. Is 40 a factor of w?
True
Suppose 4*j + 3*o = 3497, 133*o = 4*j + 138*o - 3503. Does 3 divide j?
False
Suppose -
|
{
"pile_set_name": "DM Mathematics"
}
|
equal to -9?
True
Are 2 and 2/1023 non-equal?
True
Which is smaller: 670 or 672?
670
Which is greater: -315 or 0?
0
Which is greater: 9/40 or 0?
9/40
Which is smaller: 23/14 or 2?
23/14
Which is greater: -786 or 3?
3
Which is greater: -2/5327 or -1?
-2/5327
Is 257 at most as big as 253?
False
Which is smaller: 14 or 122/9?
122/9
Which is greater: -0.2 or -181?
-0.2
Which is smaller: 178 or 177?
177
Does -3 = 2/177?
False
Which is smaller: 4083 or 4080?
4080
Which is smaller: -1586 or -17440/11?
-1586
Which is smaller: 115/57 or 2?
2
Do -1/4 and -17 have the same value?
False
Is 211 greater than 213?
False
Which is smaller: -578 or 1/3?
-578
Are -2413 and -19295/8 equal?
False
Is -65 <= -716/11?
False
Are 474 and 474 equal?
True
Is 7/32 bigger than 1/9?
True
Which is smaller: -33 or -39?
-39
Is 58 greater than or equal to 2324/41?
True
Which is bigger: -3402 or 0?
0
Which is smaller: -2148 or -2149?
-2149
Which is smaller: -2 or -65/22?
-65/22
Is 359 > 359?
False
Is 2 smaller than 3/56?
False
Do -0.3 and 2673 have the same value?
False
Do 120 and 362/3 have different values?
True
Which is greater: -4/3639 or 1?
1
Which is smaller: 0 or 3/1576?
0
Is 6512 greater than or equal to 6509?
True
Which is smaller: 0 or 54/283?
0
Is 231 greater than or equal to -0.3?
True
Which is smaller: -1 or 11/1981?
-1
Which is smaller: 0.19 or 24?
0.19
Which is greater: -39 or -3?
-3
Which is smaller: 409 or -2?
-2
Which is greater: -81 or -247/3?
-81
Are 445 and -18 non-equal?
True
Is 189 equal to 189?
True
Which is smaller: -25 or -33?
-33
Are 1 and 11/23 nonequal?
True
Which is smaller: 1 or -2/35?
-2/35
Is -898 greater than -878?
False
Which is smaller: 18/2117 or -1?
-1
Is -21 != -19?
True
Is -1615 > -0.1?
False
Is -283 at most -283?
True
Which is bigger: -587 or -624?
-587
Is -22 less than or equal to -23?
False
Is -9 bigger than -13?
True
Is -312 at least as big as -312?
True
Which is greater: -100/173 or 2/9?
2/9
Is -3013 <= -3014?
False
Which is smaller: 0.178 or 0?
0
Is 5/12 smaller than 0.14?
False
Is 78 at most as big as -3/4?
False
Is 0 at most 2/1287?
True
Which is smaller: -537.5 or 0?
-537.5
Which is smaller: 20 or 18?
18
Is 72 < 41?
False
Which is smaller: 388 or 383?
383
Which is smaller: 0.109 or 8?
0.109
Which is bigger: -85 or 2?
2
Which is smaller: -0.37 or -4/7?
-4/7
Are -9 and 2/7 equal?
False
Is -7/246 less than 0?
True
Which is bigger: 5/6 or -32?
5/6
Is 0.28 <= -22?
False
Is -15 at most as big as -29?
False
Is 9 > 76/9?
True
Which is greater: -1 or -23?
-1
Which is smaller: 1 or -18/91?
-18/91
Which is bigger: -11 or -300?
-11
Which is smaller: -132 or -149?
-149
Is -115 at least -112?
False
Which is greater: 0 or -9/133?
0
Which is bigger: -2.4 or 1/2?
1/2
Which is smaller: -307/33 or -10?
-10
Are -186 and -184 unequal?
True
Which is greater: -1326 or -1319?
-1319
Is 0 at most as big as 5/152?
True
Which is bigger: -1 or -31/18?
-1
Is 66 >= 397/6?
False
Is 1/392 > -2/5?
True
Which is smaller: -2/5 or 5029?
-2/5
Which is greater: -1 or 12/107?
12/107
Which is bigger: 29/6 or 6?
6
Is -38 at most as big as -42?
False
Are 8 and 0.027 unequal?
True
Which is greater: -2/61 or -9.2?
-2/61
Which is smaller: -5.1 or 1/22?
-5.1
Is -2 less than -770?
False
Which is smaller: -12/3581 or 0?
-12/3581
Which is smaller: -193 or -191?
-193
Which is smaller: -240 or -1?
-240
Which is smaller: 3/16 or 0?
0
Is -59 greater than 0.4?
False
Which is bigger: 1057 or 1059?
1059
Which is smaller: 1255 or 1254?
1254
Which is smaller: 127 or 129?
127
Is -172/5 at most -34?
True
Which is greater: -12 or -35/3?
-35/3
Which is bigger: -1/53 or 1?
1
Is 4/671 smaller than 1?
True
Which is greater: -6769 or -6770?
-6769
Is -0.1 less than or equal to 79?
True
Is 33 smaller than 225/7?
False
Which is bigger: 13243 or 13244?
13244
Which is smaller: -264 or -266?
-266
Is 21 at most as big as 29?
True
Is -60 <= -765/13?
True
Which is greater: 1858 or 1857?
1858
Which is bigger: 1 or 6/8033?
1
Which is smaller: 0 or 6?
0
Is -166 <= -167?
False
Which is smaller: 2361 or 2359?
2359
Which is smaller: 3 or 1/214?
1/214
Which is smaller: 64 or 893/14?
893/14
Which is bigger: 0.1 or -40?
0.1
Is 6 at least as big as -1/3?
True
Are 268 and 265 non-equal?
True
Which is bigger: 1 or -8/115?
1
Which is bigger: 0 or 58/41?
58/41
Are -3668 and -3665 equal?
False
Is -184 smaller than 6/5?
True
Which is bigger: -1 or -1.38?
-1
Which is bigger: 274 or -0.1?
274
Which is smaller: 1 or 16/151?
16/151
Which is bigger: 327 or 325?
327
Are 860 and 859 nonequal?
True
Which is bigger: 1/660 or -1?
1/660
Is -1 bigger than 3/73?
False
Which is smaller: 186 or -15?
-15
Which is greater: -17/410 or -1?
-17/410
Is -0.01 at least as big as -80?
True
Is 0.63 greater than or equal to -9?
True
Which is greater: -0.1 or -712.6?
-0.1
Are 182 and 184 unequal?
True
Is 0 >= 66/157?
False
Which is smaller: 388/5 or 79?
388/5
Which is smaller: 1724 or 8627/5?
1724
Which is smaller: -5/188 or 1/3?
-5/188
Which is smaller: -1732 or -1733?
-1733
|
{
"pile_set_name": "DM Mathematics"
}
|
(623 + -664).
50
What is 531 + -522 + (11 - 1) - 88?
-69
What is the value of -13 + (3 - 6) - (110 + -88)?
-38
Evaluate 10 + (-82 - -36) - -7 - -33.
4
What is the value of -17 + 93 + (2 - -1) + -2 + 81 + -75?
83
What is 16 - 4 - (-864 + 863)?
13
Calculate (-1 + -1 - (-641 + 615)) + -21.
3
Calculate -1 - 1 - 8 - ((-5 - (-6 + -9)) + -73).
53
Calculate (-25 - 0) + -618 + 677.
34
-67 - ((-27 - -4) + (-119 - -116))
-41
Calculate 3 + -2 + -17 + 16 - -76 - (-4 - 1).
81
What is -9 + 4 + 2 + -4 + 24 + 5?
22
What is the value of -24 - -80 - (41 - -2)?
13
Calculate 19 + -78 + 29 + 68.
38
Evaluate ((6 - -2) + 2 - -3) + (-1770 - -1763).
6
Calculate -9 + (-4 + 33 - (3 + -6 + (6 - 9))).
26
What is -125 + 123 + (6 - 37)?
-33
What is (14 - -1) + 1 + (-53 - (-39 + -102))?
104
Evaluate 37 - (10 + (-13 - -23 - 17)).
34
Calculate -3 - (7 - ((7 - -17) + -17)).
-3
-99 - (97 - (350 - 64))
90
Calculate ((-1 - 9) + (-13 - -15) - (89 + -23)) + 0.
-74
Evaluate 13 + -64 - (4 + -1 - (238 - 249)).
-65
What is the value of -4 + (18 - 15) + -1 + -5 + 1 + 58?
52
Calculate 0 + -37 - (49 - 18 - 13 - -2 - 7).
-50
Evaluate (-6 - 0 - 1 - (-92 - -104)) + 2.
-17
Evaluate (-9 - -40) + -277 + 157.
-89
What is ((58 - -1) + 3 - (-7 - -36 - 35)) + -3?
65
-406 + 386 + (-2 - -3 - -6) + 55
42
Evaluate 26 + 26 + -32 + -10 - 7.
3
What is the value of -4 - -149 - (-928 + 1182)?
-109
What is the value of 60 + (-75 - (46 + -92))?
31
What is (1 - 10 - (46 + -29 - (-5 + 31))) + 46?
46
What is -1 - (-1 - (-3 - -7)) - (-55 - -57)?
2
What is the value of 105 + 7 + ((11 - 14) + 4 - 25)?
88
What is 59 - (49 - 7) - (37 - -9)?
-29
Evaluate -22 + (-2 - (-15 - (6 + -8))) - -46.
35
Calculate (3 - (-48 + 0)) + (90 + -94 - -21).
68
Calculate 4 - (0 - 5 - (-167 + 160) - -50).
-48
58 - (50 + -36 + 18)
26
Evaluate 70 - (48 - (-18 - (-57 - -15))).
46
Calculate -2 - (0 - 0 - (20 + (-72 - -39))).
-15
What is 40 - (-25 + -32 + (-6 - -50))?
53
-1052 - -1291 - (4 + 125)
110
What is (-10 - (-34 - -5) - 20) + -13?
-14
Evaluate 26 - (-9 + 9 + (5 - -5) - 15).
31
Calculate 2 + 1 + (-419 - -411) + (-56 - 1) + 0.
-62
What is -38 - (65 + -142 + 36)?
3
Evaluate -5 + 27 + -21 + (3 - (-6 - -2)).
8
What is (-1242 - -1253) + -6 + -3 + 2 - (8 + -1)?
-3
What is the value of -50 - (-23 - (3 + 36))?
12
What is (17 + -5 + (-17 - 4) - 3) + 14?
2
What is the value of -47 + 3 + (57 - 16)?
-3
Evaluate (1 - -21 - (-35 - -51)) + (1 - 1).
6
Calculate 41 + (-491 - -492 - (3 + (4 - 1) + 6)).
30
1 + (-51 - 10) + 38
-22
Evaluate -9 + (-8 - (-6 - (66 + -1 + 5))) + 9.
68
What is the value of 19 + -21 + (22 - 42)?
-22
Evaluate ((-3 - 0) + -9 + 22 - (2 + 12)) + 52.
48
What is the value of (1113 - 1113) + 1 + 8?
9
(-11 - 2) + 22 - -1
10
Evaluate 19 + (-62 - (70 + -69)) + 18 + -1.
-27
Evaluate -9 + -59 + -2 + (-62 - -67) - -18.
-47
What is the value of 2 - ((-2 - -10) + -3) - (45 + 15 - 8)?
-55
What is (-3 - (-1 - 0)) + (13 + 12 - -35) - 4?
54
What is the value of 1 + 1 + 13 - (88 - 52 - 44)?
23
27 + (-19 - 14) + 16 + -60
-50
-155 + -42 + (51 - -47)
-99
(-8 - (-4 - -24)) + 25
-3
Evaluate (-55 - -109 - -42) + (-29 - 0).
67
What is the value of (-1 - 29) + -6 + -7?
-43
What is 7 + 30 + -52 + 19?
4
What is (-2 - (1 + (-31 - 1) - (2619 - 2620))) + -2?
26
Evaluate 5 - (31 - (37 - -37)).
48
29 + -78 + -7 + -18 - 13
-87
What is -12115 - -12081 - (2 + (33 - -1))?
-70
Evaluate (-9 - (-11 + 4)) + 7 + -10 - (4 + -75).
66
Evaluate -95 - -10 - -78 - (1 + -14).
6
Calculate -61 + 44 + 11 + 12.
6
Calculate 84 + -105 - (-8 - 1) - (-64 + 3 - 16).
65
What is the value of -64 - 4 - (-43 - -29)?
-54
Evaluate 14 - (11 + -28 + -18).
49
Evaluate -571 + 551 + (6 + -1 + -6 - -29).
8
What is the value of -11 + (28 + -5 - 6) + -13 - -33?
26
Calculate 4 + -1 - ((136 - 142) + (7 - (7 + -27))).
-18
Calculate 145 + -149 - (2 - (47 - 4)).
37
Evaluate 41 - (2 - (-9 - -2 - (13 + -4 + -16))).
39
Calculate (12 - (6 - 1) - 19) + -4 + (14 - 13).
-15
What is 42 - (6 + (8 - 16 - 2) + -11)?
57
(7503 - 7477) + (-1 - -9)
34
Calculate -27 - (6 + (147 + -149 - (5 - 0))).
-26
What is the value of (14 + -18 - 52 - 17) + (-9 - 0) + 1?
-81
-24 + (-73 - -2) - (2 + -4 - 16)
-77
Calculate (255 - 246) + (-10 + 9 - (-1 - (-1 - -26))).
34
Calculate 3 - 55 - (-39 - -23).
-36
What is (34 - 144 - -183) + 57?
130
-185 - -232 - (12 - -45)
-10
Evaluate -1 - 59 - (-2570 + 2542).
-32
2168 - 2303 - (-52 + -1)
-82
-7 + -88 - (12 - (-3 - -20))
-90
Evaluate -30 + (-14 - -9) + (-23 - -17) + 15 + -1
|
{
"pile_set_name": "DM Mathematics"
}
|
59/(-58795)?
50
((-62)/(-5859)*-21)/(-4*(-4)/(-32))
4/9
Evaluate (54/(-4068))/(189/(-42))*-1*2.
-2/339
Calculate ((33/77)/(115/18515))/3.
23
((-375)/(-350))/(-6*(-3)/252)
15
What is -4*(4*(-10)/((-240)/(-261)))/(-6)?
-29
Evaluate (1/637*14)/((2/210)/((-121)/(-363))).
10/13
Evaluate (-110)/60*50/(-275)*(-10)/1.
-10/3
What is (-4)/(24/(-5))*((-41070)/26825)/(-74)?
1/58
Calculate (-63)/(-14)*(-34)/(-4284).
1/28
Evaluate -3*(-2)/(-6)*(-4016)/9036.
4/9
What is the value of (-48)/(-75)*6845/208088?
2/95
Calculate (-2)/((4956/210)/59).
-5
Evaluate -270*5/(-275)*-11.
-54
(-2)/6*(-12)/(-10)*12*(-210)/(-15624)
-2/31
((-4)/(-44)*11)/(35/2030)
58
What is (12472/28062)/(2/279)?
62
What is (5/8*3452/(-5178))/((-585)/24)?
2/117
Evaluate (-12880)/(-1400)*(-130)/(-416).
23/8
3/((2/(-230))/((-1042)/(-7815))*2/(-3))
69
What is the value of (3/(-10))/(59616/(-2880))*3*2?
2/23
(-10)/(-1)*(-378)/(-6804)
5/9
5/(-50)*0*(-113)/339
0
What is (1/3)/(5*(-2)/180)*10/(-26)?
30/13
What is the value of (1/(-1))/(((-225)/27)/5)*(-1155)/(-11)?
63
(1188/(-8))/9*(-350)/(-1365)*-13
55
What is -42*((12285/486)/91)/((-20)/84)?
49
Calculate (295/(-236))/(170/32).
-4/17
Evaluate (-23)/(52003/(-76))*-7*(450/(-12))/(-15).
-10/17
(61/((-12932)/106))/(1/34)
-17
((-8)/(96/(-95)))/(-50*(-90)/2400)
38/9
What is the value of 8/1280*40*33/1*40/15?
22
Evaluate -4*8/(-80)*180/((-32)/(-16)).
36
What is (-65)/117*48/144?
-5/27
Calculate (-1*(-5)/69)/((-12170)/(-29208)).
4/23
Calculate (480/(-600))/(((-1)/5)/((-9)/27)*-1).
4/3
14/(-4)*(-1760)/(-20)*(-21)/84
77
9/(-4)*((-11544)/468)/((-3)/6)
-111
What is the value of 1*(9/(-3))/(-3)*87/2523?
1/29
(1/((-987)/(-18)))/(2031/(-4739))
-2/47
Calculate ((-2009)/(-14))/41*-1*(-216)/28.
27
What is 1266/596286*18/2*(-1)/3?
-1/157
Calculate 81/12*(-12)/(-594)*(-36)/27.
-2/11
1/8*-6*((-1475520)/(-261))/(-80)
53
((-2)/(-6))/(152/24624)
54
What is (-1044)/(-87)*1/(20/(-830))*(-5)/30?
83
What is the value of 65/(-26)*(320/100)/((-190)/133)?
28/5
4/((-16)/(-42))*(-288)/(-1056)*(-22)/18
-7/2
Evaluate 8470/(-1815)*(-984)/(-56).
-82
What is ((-4)/10)/(17/((-54145)/(-98)))?
-13
What is the value of 132/1*(-54)/(-1188)?
6
What is the value of (-252)/24*(3942/(-84))/(-73)?
-27/4
What is (217/12799528*-219)/(2*6/(-16))?
1/202
What is 4*(-15*1*(-45)/750)/((-6)/(-85))?
51
What is ((662/2317)/(5/(-1435)))/1?
-82
What is ((-1392)/384)/(2/(-8))*52/(-13)?
-58
What is (-13)/(((-136136)/6512)/(-119))?
-74
Evaluate 10/5*425/(-34).
-25
What is the value of -2*2*(-9)/(594/(-77))*5/(-175)?
2/15
What is the value of ((-222)/(-592))/(7/224*8)?
3/2
Evaluate ((225/1320)/15)/(792/(-4224)).
-2/33
((-1677753)/(-44385))/((-6)/(-10))
63
What is 57/(-209)*(626/313)/(3/5)?
-10/11
((-19032)/780)/(-122)*-295*1
-59
112*((-4)/308)/(113/(-2486))
32
What is ((-1)/184)/((81576/(-1408))/309)?
2/69
(5688/474)/(2*6)*4/(-14)
-2/7
(-8)/4*1265/(-55)
46
Evaluate (27400/(-98640))/(3/(84/10)).
-7/9
13/(52/24)*203*30/28710
14/11
(-4550)/(-40)*(-6762)/(-102557)
15/2
What is the value of (((-318)/20)/((-453)/1208))/(25/((-2125)/34))?
-106
Calculate (68/(-1190))/((-28)/10)*-3.
-3/49
1*7*64*(-869)/(-35392)
11
(-33)/((-3960)/48)*14/4*10
14
What is the value of 2/(-177)*13179/(-8786)?
1/59
What is ((28/(181300/(-105)))/(3/(-10)))/((-24)/(-6))?
1/74
What is (10/6)/(((-2266)/(-22))/2781)?
45
140/(-7230)*(-2424)/5656
2/241
Evaluate ((-123)/(-8118)*-1617)/(-2*(-3)/24).
-98
Calculate 82*(-1)/(-3)*1008/672.
41
What is (19623/287804)/((-3)/11)?
-1/4
What is the value of (-13)/(-26)*-29*(-8)/48*1*4?
29/3
Evaluate (246160/408)/181*1*48/25.
32/5
What is the value of (26/6)/(11/495*-15)?
-13
What is 279*252/480438*3/18?
1/41
What is the value of (18/(-14)*(-2737)/4692)/(-6*2/(-268))?
67/4
Evaluate (2/5)/(25*72/6000).
4/3
What is the value of (-75*12/(-4350))/((-4)/(-2))?
3/29
(40/(-7))/(((-5)/(-360)*40)/((-10)/12))
60/7
What is the value of (40/1296)/(((-1275)/204)/(-5))?
2/81
Evaluate (-3)/(-4)*(48/(-84))/(936/273).
-1/8
Evaluate -16*11454/(-332)*1/12.
46
Calculate (4/(-44))/(((627/110)/19)/((-17)/425)).
2/165
Calculate (166/(245016/(-410)))/(30/81).
-3/4
Evaluate -63*(-70)/(-2695)*-4*1/(-6).
-12/11
((-688)/(-24))/(7*(-41)/861)
-86
What is the value of 20/(-1)*(-22)/(-5)*(-7140)/(-13090)?
-48
Evaluate ((-12)/80)/((3016/390)/58).
-9/8
What is (-10)/(-4)*3280/(-23124)*-141?
50
Evaluate 540/(-74466)*-7*1/(-5).
-2/197
What is the value of 22/(-15)*115*1122/1182775?
-4/25
Calculate (-3)/2*2*(-336)/9*80/280.
32
Evaluate (210/360*4)/(-4*(-91)/7020).
45
4*((-5)/100*-30)/(24/(-152))
-38
What is (-3)/((-4)/44*(-30)/210*49/(-7))?
33
What is (4/(-4)*(-49)/196)/((-5)/(-740))?
37
(-
|
{
"pile_set_name": "DM Mathematics"
}
|
968567.30438. Let u = d + -6521402751. Let x = 29 + u. Round x to seven dps.
-0.0000004
Let z = 34 - 31. Suppose 0*q - 321000 = z*q. Round q to the nearest ten thousand.
-110000
Let a = 646 + -643.824. Round a to one dp.
2.2
Let j = 3364 - 3363.999997669. Round j to seven dps.
0.0000023
Let o be (-5)/(-4)*12/3. Suppose -921 = -2*t + o. Round t to the nearest one hundred.
500
Let k = 138.271 - -1.129. What is k rounded to the nearest ten?
140
Let y(s) = -s - 13. Let p be y(-13). Suppose -3*m + p*m - 5*j = 80980, 4*j = 16. What is m rounded to the nearest 10000?
-30000
Let n = 0.0188 + -7.1588. Let d = -4.8 + n. Let i = 12 + d. What is i rounded to 1 decimal place?
0.1
Let s(x) = -51110*x + 18. Let c be s(-9). Suppose 5*r + 4*w + c = 0, -5*r - 2*w + 0*w = 460004. What is r rounded to the nearest ten thousand?
-90000
Let y = -23 - -24.44. What is y rounded to one decimal place?
1.4
Let h = -1030 + 441. What is h rounded to the nearest 10?
-590
Let c = 6.195 + -1.305. What is c rounded to 1 dp?
4.9
Let g = 11.4621 + -0.0121. Let s = 11.8 - g. What is s rounded to zero dps?
0
Let f = -35.60775 - 0.02225. Let y = f - -3.23. What is y rounded to the nearest integer?
-32
Let w = 0.382 + -0.052. Let p = w - -0.09. Let u = p + -0.419924. Round u to 5 dps.
0.00008
Suppose 0 = -2*l - 3*n + 58439997, 0*l = -l + 2*n + 29220002. What is l rounded to the nearest 1000000?
29000000
Let z = 2177024.99999985 - 2177022.1. Let f = -2.9 + z. Round f to seven dps.
-0.0000002
Let s(k) = -k - 2. Let a be s(-3). Let m be a/(-3) - 2505/(-9). Suppose -54278 = -2*w + 2*l - m, 4*l + 135000 = 5*w. What is w rounded to the nearest 10000?
30000
Let g = -12.9 - -137.9. Let z = g - 66. Let m = -58.99871 + z. What is m rounded to four decimal places?
0.0013
Suppose -2*l + 2*i = 8, -4*i = l - 0*i + 19. Let n be l/21 - (-6751)/3. Round n to the nearest 100.
2300
Let n = 772 + -771.99999334. What is n rounded to 6 decimal places?
0.000007
Let p(b) = -760*b**3 - 4*b**2 + b + 3. Let a be p(-2). Round a to the nearest one thousand.
6000
Let s = -3439049.7 - -3439066.700063. Let w = 12 - 29. Let m = s + w. What is m rounded to five decimal places?
0.00006
Let y = -601 - -285. Let g = -329.3 - y. What is g rounded to the nearest integer?
-13
Let x = -0.04244 + -0.061. What is x rounded to 3 decimal places?
-0.103
Let r = -288759.5600315 + 288759. Let u = 0.56 + r. Round u to 6 dps.
-0.000032
Let f = 12.4 - 47.3. Round f to the nearest integer.
-35
Let c = 3.24 + -1.75. Let p = 0.19 - c. Let b = 1.30000005 + p. What is b rounded to seven decimal places?
0.0000001
Let o = -1.2572984663 - -1.2573. What is o rounded to 7 decimal places?
0.0000015
Let v be (-129 + -1)*2*506/88. Round v to the nearest ten.
-1500
Let c = -0.0257 + 282.0257. Let d = c - 283.71. What is d rounded to one decimal place?
-1.7
Let a = 31329 - 31263.067. Let c = 66 - a. What is c rounded to 2 dps?
0.07
Let q = -673 - -732.3. Let y = -57 + q. Let p = -2.304 + y. Round p to 2 decimal places.
0
Let v = 27 + -3. Let i be 2/4 - (-108)/v. Suppose -4*n - 563991 = -3*w, -5*w - 705015 = i*n - 0*n. What is n rounded to the nearest ten thousand?
-140000
Let m = -682 + 625.9. Let j = -150 + 210. Let v = j + m. What is v rounded to zero dps?
4
Let k = 177 - 84. Let w = 154 - k. Let a = -61.0118 + w. What is a rounded to three dps?
-0.012
Let d = -2817308.2058469 + 200373.2058461. Let q = -2616933 - d. Let l = q - 2. What is l rounded to 7 dps?
0.0000008
Suppose -45603 = 2*b + p, -25*b + 23*b + 2*p - 45594 = 0. Round b to the nearest 10000.
-20000
Let g = -6430.3679798 + 6429.828. Let y = -0.54 - g. What is y rounded to 6 dps?
-0.00002
Suppose 4*y + 103018 + 40582 = 0. What is y rounded to the nearest one thousand?
-36000
Let a = 113.041 + -113. Round a to two dps.
0.04
Let y = 3.37 - 3.54856. Let k = 0.08138 - y. Let x = k + -0.26. What is x rounded to four decimal places?
-0.0001
Let k(g) = g**2 + 11*g + 5. Suppose 0 = -3*i + 2 + 7. Let r = i + 4. Let c be k(r). Round c to the nearest 10.
130
Let n = 67 + -65. Suppose -8*q + 3*g - 171000006 = -5*q, -n*g + 57000004 = -q. What is q rounded to the nearest one million?
-57000000
Suppose -4*f - 4*y + 43644 = 0, 8 = 7*y - 3*y. Let z(h) = 79*h**3 - 3*h**2 - h + 5. Let n be z(4). Let d = n - f. Round d to the nearest one thousand.
-6000
Suppose 1053531607 = 16*h - 474628393. What is h rounded to the nearest one million?
96000000
Let j = -10906224 + 19506224. What is j rounded to the nearest 1000000?
9000000
Let t = -2445 - -2618.1. Let a = t - 186. Round a to 0 decimal places.
-13
Let m(b) = b**3 - 16*b**2 + 24*b + 51. Let y be 4 + 15/(-4) + 83/4. Let o be m(y). Round o to the nearest one hundred.
2800
Let h = -52 + -9.8. Let j = 54 + h. What is j rounded to 0 decimal places?
-8
Let i = -2942760 + 1949160. What is i rounded to the nearest 10000?
-990000
Let n = -480.99422 + 481. What is n rounded to four decimal places?
0.0058
Suppose 0 = 6*t - 6118 - 6944. What is t rounded to the nearest one hundred?
2200
Let k = 58651 - 36956. Suppose 0 = -4*l +
|
{
"pile_set_name": "DM Mathematics"
}
|
-3*q + 2*q + o = -5*l. List the prime factors of q.
2, 3, 31
Suppose v + 3*z = 62, -v + z + 50 = -0*v. Suppose 534 = 2*a - 2*m, -4*m - v = -a + 199. Let f = a + -158. List the prime factors of f.
2, 3, 19
Let t be (-89)/(-1*(-1)/(-2)). Let m(q) = 34*q + 1051. Let w be m(-34). Let j = t + w. What are the prime factors of j?
73
Suppose 244*i = 238*i + 65064. What are the prime factors of i?
2, 2711
Let x(n) = 5*n + 426. Let h be x(0). What are the prime factors of h - (9 - 4*9/12)?
2, 3, 5, 7
Suppose 45*x - 7*x = 271738. List the prime factors of x.
7151
Suppose 2*q = 3*p + 15558 - 675, -12 = 4*p. What are the prime factors of q?
3, 37, 67
Let g(j) = -136*j + 64. Let o be g(-7). Suppose 4*h - 31 = -3. Suppose o = b + h*b. What are the prime factors of b?
127
Let k be 387/27 - 4/(-6). Suppose 0*x = -4*x. Suppose -2*o - 2*o + 5*a + 67 = x, k = -5*a. List the prime factors of o.
13
Let d = -22893 + 33057. What are the prime factors of d?
2, 3, 7, 11
Suppose 16*n - 20*n = -1832. What are the prime factors of 2*-1*n/(-2)?
2, 229
Suppose 22 = 4*i - 18. Suppose 0 = -i*g - 1049 + 5799. Suppose v + g = 6*v. List the prime factors of v.
5, 19
Suppose 86*p - 908502 = -108*p. What are the prime factors of p?
3, 7, 223
What are the prime factors of 6233/(-5)*130/104*-4?
23, 271
Let i = -17 - -62. Let j be 58/18 + (-10)/i. Suppose -j*z + 294 = -30. List the prime factors of z.
2, 3
Suppose -7545 = -511*r + 341*r + 1765725. List the prime factors of r.
3, 19, 61
Let a(q) = 3*q**2 + 83*q + 2715. What are the prime factors of a(-71)?
5, 2389
Let s = -35972 - -61540. List the prime factors of s.
2, 17, 47
Let x(v) be the third derivative of v**4 + 3*v**3/2 + 26*v**2 + 1. What are the prime factors of x(4)?
3, 5, 7
Suppose -5*s + 16*q - 15*q = -12295, 2*s - 4918 = -5*q. Suppose -4*x - s = -6811. What are the prime factors of x?
2, 17
Let s(o) = -8*o**3 - 21*o**2 - o + 39. Let c(u) = 4*u**3 + 10*u**2 - 20. Let r(b) = 7*c(b) + 3*s(b). List the prime factors of r(4).
3, 37
Let p(j) be the first derivative of 20*j**3/3 + 3*j**2/2 + 2*j - 8. What are the prime factors of p(-4)?
2, 5, 31
Suppose 5*f - 2*o = 49023, f - o = 6355 + 3446. List the prime factors of f.
3, 7, 467
Let v(c) = -52*c - 52. Suppose 10*y + 111 = -79. List the prime factors of v(y).
2, 3, 13
Suppose -s = -a - 8593 + 1462, -5*s - 5*a = -35635. What are the prime factors of s?
7129
Suppose -4*c + 67628 = -4*r, 6*r + 36 = 10*r. List the prime factors of c.
2, 4229
Suppose 5*k - 26107 = 4*w, 2*w - 10447 = -2*k + 5*w. List the prime factors of k.
17, 307
Let a(p) = 37*p**2 + 30*p - 81. Let y be a(8). Let q = y - 1499. What are the prime factors of q?
2, 257
Let t = -3300 - -6794. What are the prime factors of t?
2, 1747
List the prime factors of (1322816/14)/2 + (-18)/42.
7, 17, 397
Let y(i) = 93*i**2 - 4*i - 22. List the prime factors of y(-11).
5, 11, 41
Let v be 0*(-2)/4 - -56. Suppose 0 = v*d - 35*d - 14952. What are the prime factors of d?
2, 89
Suppose -34*h + 33*h + 2 = 0. Suppose 132 = m - y, -47 = -h*m - 2*y + 209. What are the prime factors of m?
2, 5, 13
Suppose -4*o = -4*s + 42388, 0 = 5*s - 3*o - 47645 - 5358. List the prime factors of s.
2, 5303
Suppose -24320 - 34688 = -64*y. What are the prime factors of y?
2, 461
Let f(i) = 79*i**2 + 364*i - 26. What are the prime factors of f(18)?
2, 16061
Let h(y) = 4*y**2 - 8*y + 22. Let q be h(8). What are the prime factors of -38*q/(-20) + 4/10?
11, 37
Let q = 7 + -7. Let z be (q + -8)*(-6)/12. Suppose 0 = -i + 4*y + 3 + 23, 3*i = -z*y + 14. List the prime factors of i.
2, 5
Let q(v) = v**3 - 26*v**2 - 90. Let g be q(26). Let x = g - -294. List the prime factors of x.
2, 3, 17
Suppose -405*d + 382*d + 176157 = 0. What are the prime factors of d?
3, 23, 37
Suppose 2*p = -4*h - 12, -8 - 8 = 4*h. Let z be 23 + 0 - (1 - p). Suppose -z = -2*d + 14. List the prime factors of d.
19
Let m(k) = 493*k**2 + 135*k + 24. What are the prime factors of m(5)?
2, 11, 37
Let h(z) = -4314*z - 5401. What are the prime factors of h(-6)?
20483
Let k(v) be the third derivative of v**6/120 - 11*v**5/30 - 19*v**4/12 - 23*v**3/6 - 24*v**2. What are the prime factors of k(24)?
7, 31
Let h = -36514 - -87068. List the prime factors of h.
2, 7, 23, 157
Let q(d) = -1138*d + 1017. List the prime factors of q(-31).
5, 7, 17, 61
Suppose 0 = -5*d - 2*h + 26, -3*d + 4*h - 8 = -2*d. Let a be 5 - (-23*d)/4. What are the prime factors of 6/(-21) + (-8)/a*-561?
2, 5
Let a(w) = -13*w**3 - w**2 + 4*w + 6. Let q be a(5). Let j = -1145 - q. Let r = -281 + j. What are the prime factors of r?
2, 3, 11
Let m = 25 + -24. List the prime factors of -9*m*2603/(-57).
3, 137
Suppose 85 = -161*s + 144*s. Let h(m) = 0 - 1 + 3*m + m + m**2. What are the prime factors of h(s)?
2
Let n be ((-4)/(-30))/(39/585).
|
{
"pile_set_name": "DM Mathematics"
}
|
rue
Does 46 divide 7314?
True
Is 9 a factor of 123?
False
Does 41 divide 10906?
True
Is 49 a factor of 2793?
True
Is 86 a factor of 30788?
True
Does 33 divide 329?
False
Is 14 a factor of 836?
False
Is 52 a factor of 832?
True
Is 15 a factor of 4286?
False
Is 258 a multiple of 13?
False
Is 544 a multiple of 103?
False
Does 13 divide 156?
True
Does 46 divide 11270?
True
Does 7 divide 313?
False
Is 34 a factor of 1188?
False
Does 10 divide 5635?
False
Is 1014 a multiple of 57?
False
Does 202 divide 6868?
True
Is 14679 a multiple of 158?
False
Is 6 a factor of 4298?
False
Is 16 a factor of 881?
False
Is 31 a factor of 7653?
False
Does 4 divide 239?
False
Is 1456 a multiple of 56?
True
Is 1994 a multiple of 14?
False
Does 7 divide 1687?
True
Is 49 a factor of 102067?
True
Is 11 a factor of 13404?
False
Is 4816 a multiple of 172?
True
Is 21 a factor of 1281?
True
Is 4522 a multiple of 14?
True
Is 33300 a multiple of 185?
True
Is 163 a multiple of 12?
False
Is 53 a factor of 106?
True
Is 167 a factor of 35738?
True
Does 31 divide 2914?
True
Does 4 divide 1356?
True
Does 30 divide 47870?
False
Does 34 divide 13455?
False
Does 14 divide 33237?
False
Is 817 a multiple of 16?
False
Is 14 a factor of 669?
False
Does 8 divide 244?
False
Does 224 divide 14938?
False
Is 12 a multiple of 12?
True
Does 52 divide 14768?
True
Is 1305 a multiple of 72?
False
Is 66871 a multiple of 16?
False
Does 8 divide 14227?
False
Is 14 a factor of 1478?
False
Does 5 divide 8303?
False
Is 52 a factor of 2279?
False
Is 5 a factor of 2107?
False
Does 77 divide 27104?
True
Is 15 a factor of 58995?
True
Is 5112 a multiple of 23?
False
Is 421 a multiple of 9?
False
Is 4838 a multiple of 98?
False
Is 10 a factor of 180?
True
Is 34225 a multiple of 43?
False
Does 3 divide 380?
False
Is 163 a multiple of 8?
False
Is 11 a factor of 528?
True
Is 5139 a multiple of 9?
True
Does 69 divide 28899?
False
Does 37 divide 8927?
False
Is 16614 a multiple of 71?
True
Is 59 a factor of 1180?
True
Does 5 divide 9013?
False
Does 15 divide 11685?
True
Is 36 a factor of 3034?
False
Is 84 a factor of 4872?
True
Is 1395 a multiple of 42?
False
Is 87 a factor of 945?
False
Is 22 a multiple of 19?
False
Is 13 a factor of 585?
True
Is 150 a multiple of 15?
True
Is 14 a factor of 3528?
True
Is 91 a factor of 10042?
False
Is 757 a multiple of 7?
False
Is 16435 a multiple of 14?
False
Is 39093 a multiple of 199?
False
Is 8 a factor of 442?
False
Is 350 a multiple of 35?
True
Is 26 a factor of 4472?
True
Is 108 a factor of 6734?
False
Is 594 a multiple of 22?
True
Is 176 a factor of 5456?
True
Is 2869 a multiple of 15?
False
Does 26 divide 22041?
False
Does 9 divide 4208?
False
Does 13 divide 4238?
True
Is 106 a factor of 1272?
True
Does 15 divide 165?
True
Is 2884 a multiple of 65?
False
Is 24 a factor of 2077?
False
Is 4260 a multiple of 10?
True
Does 32 divide 384?
True
Is 1750 a multiple of 10?
True
Is 12 a factor of 1265?
False
Does 7 divide 49?
True
Does 21 divide 4718?
False
Is 173 a factor of 37343?
False
Is 620 a multiple of 42?
False
Is 1421 a multiple of 2?
False
Does 26 divide 780?
True
Is 119 a factor of 2380?
True
Is 197 a multiple of 7?
False
Is 75 a factor of 1272?
False
Is 209 a factor of 2727?
False
Is 96 a factor of 10441?
False
Is 39060 a multiple of 14?
True
Does 6 divide 1528?
False
Is 5480 a multiple of 5?
True
Is 98 a multiple of 14?
True
Is 111 a factor of 6874?
False
Is 452 a multiple of 16?
False
Is 75 a factor of 150?
True
Is 452 a multiple of 12?
False
Is 33 a factor of 9240?
True
Does 54 divide 3064?
False
Is 360 a factor of 95599?
False
Does 20 divide 150938?
False
Is 103128 a multiple of 24?
True
Is 10 a factor of 130?
True
Is 4 a factor of 213?
False
Is 44754 a multiple of 107?
False
Is 23760 a multiple of 54?
True
Does 90 divide 760?
False
Is 70 a factor of 2380?
True
Is 23 a factor of 24395?
False
Is 48657 a multiple of 147?
True
Does 105 divide 11655?
True
Is 3 a factor of 114?
True
Does 4 divide 54?
False
Is 14 a factor of 1166?
False
Is 14 a factor of 1012?
False
Does 35 divide 560?
True
Is 5 a factor of 8140?
True
Is 3 a factor of 102?
True
Does 3 divide 189?
True
Is 3447 a multiple of 18?
False
Does 92 divide 27692?
True
Is 20690 a multiple of 10?
True
Does 12 divide 1736?
False
Is 3528 a multiple of 3?
True
Does 11 divide 1430?
True
Does 107 divide 45154?
True
Is 6107 a multiple of 31?
True
Is 25 a factor of 300?
True
Is 6 a factor of 13968?
True
Is 11328 a multiple of 236?
True
Does 15 divide 581?
False
Is 6 a factor of 150?
True
Does 5 divide 340?
True
Is 1791 a multiple of 15?
False
Does 94 divide 21902?
True
Is 42 a factor of 24100?
False
Does 79 divide 9085?
True
Is 4 a factor of 1780?
True
Is 3 a factor of 24?
True
Is 11 a factor of 44297?
True
Is 13 a factor of 82980?
False
Is 38 a factor of 14618?
False
Is 83 a factor of 373?
False
Does 124 divide 15872?
True
Is 65 a factor of 1755?
True
Does 3 divide 16008?
True
Is 106 a factor of 15900?
True
Is 4850 a multiple of 2?
True
Does 2 divide 123?
False
Is 7 a factor of 757?
False
Does 10 divide 13450?
True
Is 449 a multiple of 6?
False
Does 35 divide 6405?
True
Is 934 a multiple of 78?
False
Is 29 a factor of 2169?
False
Is 7 a factor of 7166?
False
Is 16 a factor of 2160?
True
Does 13 divide 98501?
True
Is 113 a factor of 6441?
True
Is 1238 a multiple of 159?
False
Does 9 divide 468?
True
Does 14 divide 3850?
True
Does 9 divide 279?
True
Is 17 a factor of 1904?
True
Is 22 a factor of 424?
False
Does 13 divide 178?
False
Is 184 a multiple of 8?
True
Is 93 a multiple of 2?
False
Does 7 divide 111?
False
Is 6 a factor of 161?
False
Does 26 divide 3744?
True
Is 11835 a multiple of 21?
False
Is 10 a factor of 50?
True
Does 29 divide 1588?
False
Does 66 divide 64020?
True
Is 18 a factor of 1327?
False
Does 23 divide 12397?
True
Is 24380 a multiple of 56?
False
Is 688 a multiple of 34?
False
Is 2369 a multiple of 14?
False
Is 227 a multiple of 68
|
{
"pile_set_name": "DM Mathematics"
}
|
0
11
-4 (base 10) to base 7
-4
-30 (base 5) to base 9
-16
What is 1022 (base 3) in base 9?
38
-5 (base 13) to base 12
-5
What is 108 (base 11) in base 4?
2001
465 (base 8) to base 11
261
-1101 (base 2) to base 10
-13
Convert -1 (base 6) to base 7.
-1
What is -3a (base 12) in base 4?
-232
Convert 5 (base 6) to base 14.
5
-20101 (base 3) to base 9
-211
What is 110 (base 2) in base 9?
6
Convert 19 (base 11) to base 14.
16
4 (base 16) to base 15
4
What is 12 (base 11) in base 13?
10
Convert -33 (base 16) to base 11.
-47
-2 (base 14) to base 5
-2
Convert 6 (base 9) to base 12.
6
What is -4 (base 8) in base 7?
-4
10 (base 7) to base 12
7
Convert 54 (base 7) to base 9.
43
Convert -8 (base 15) to base 16.
-8
What is -55 (base 6) in base 2?
-100011
-123 (base 4) to base 9
-30
1 (base 16) to base 3
1
4 (base 10) to base 13
4
Convert c (base 15) to base 8.
14
What is 2 (base 15) in base 3?
2
4 (base 11) to base 9
4
Convert 12 (base 14) to base 12.
14
Convert -53 (base 10) to base 2.
-110101
What is -3 (base 8) in base 6?
-3
Convert 3a (base 12) to base 5.
141
What is -21 (base 3) in base 7?
-10
-7 (base 11) to base 5
-12
-21 (base 3) to base 14
-7
What is -20 (base 4) in base 7?
-11
Convert -3 (base 8) to base 9.
-3
11 (base 3) to base 10
4
Convert 3 (base 10) to base 9.
3
Convert 21 (base 3) to base 5.
12
Convert -1112 (base 3) to base 5.
-131
What is -47 (base 10) in base 4?
-233
12120 (base 3) to base 8
226
c2 (base 15) to base 2
10110110
10 (base 11) to base 12
b
-27 (base 10) to base 5
-102
-105 (base 7) to base 8
-66
-27 (base 13) to base 11
-30
Convert -4 (base 5) to base 7.
-4
Convert 1 (base 13) to base 6.
1
-30 (base 4) to base 16
-c
-2 (base 9) to base 10
-2
Convert 8 (base 14) to base 6.
12
What is -6 (base 16) in base 10?
-6
1 (base 13) to base 11
1
Convert -b0 (base 14) to base 6.
-414
Convert -2 (base 10) to base 2.
-10
What is 0 (base 13) in base 11?
0
Convert 2 (base 16) to base 3.
2
Convert 14 (base 9) to base 13.
10
8d (base 14) to base 10
125
What is -23 (base 6) in base 2?
-1111
Convert 4 (base 8) to base 16.
4
What is 1c (base 14) in base 7?
35
2 (base 6) to base 16
2
What is -7 (base 8) in base 16?
-7
What is 105 (base 12) in base 16?
95
1a8 (base 12) to base 2
100010000
What is -9 (base 16) in base 7?
-12
Convert 158 (base 12) to base 5.
1322
25 (base 16) to base 13
2b
Convert -2b (base 15) to base 2.
-101001
Convert 261 (base 8) to base 16.
b1
What is 14 (base 12) in base 5?
31
What is -3 (base 7) in base 4?
-3
What is 8 (base 11) in base 12?
8
Convert -5 (base 9) to base 15.
-5
-32 (base 5) to base 7
-23
What is -144 (base 7) in base 11?
-74
Convert 19 (base 10) to base 13.
16
Convert 10 (base 3) to base 4.
3
Convert 174 (base 14) to base 12.
20a
What is -4 (base 12) in base 7?
-4
What is -314 (base 7) in base 5?
-1113
Convert 24 (base 12) to base 16.
1c
-100 (base 7) to base 11
-45
Convert 0 (base 7) to base 12.
0
100 (base 2) to base 13
4
Convert 32 (base 8) to base 13.
20
10200 (base 3) to base 16
63
-112 (base 7) to base 8
-72
-3 (base 7) to base 11
-3
What is 303 (base 6) in base 14?
7d
Convert b1 (base 14) to base 2.
10011011
3 (base 10) to base 6
3
111 (base 3) to base 16
d
Convert -d (base 15) to base 11.
-12
Convert -31 (base 12) to base 5.
-122
Convert 9 (base 15) to base 12.
9
Convert -4 (base 10) to base 6.
-4
What is -90 (base 11) in base 14?
-71
-50 (base 15) to base 8
-113
Convert -9 (base 16) to base 10.
-9
1a (base 15) to base 12
21
What is -4 (base 15) in base 10?
-4
Convert 61 (base 7) to base 15.
2d
-1 (base 9) to base 10
-1
What is 10 (base 2) in base 15?
2
Convert 128 (base 9) to base 3.
10222
What is -2 (base 7) in base 4?
-2
What is 442 (base 5) in base 9?
145
-2 (base 15) to base 8
-2
What is -1 (base 16) in base 13?
-1
Convert a (base 15) to base 8.
12
155 (base 6) to base 9
78
101001 (base 2) to base 11
38
f (base 16) to base 10
15
2 (base 3) to base 4
2
Convert 2 (base 9) to base 2.
10
Convert 6 (base 10) to base 11.
6
0 (base 2) to base 5
0
What is -12 (base 3) in base 12?
-5
What is 3 (base 16) in base 12?
3
What is -313 (base 6) in base 3?
-11100
Convert -12 (base 4) to base 5.
-11
What is 62 (base 8) in base 14?
38
-3 (base 13) to base 8
-3
-110 (base 3) to base 14
-c
Convert 9 (base 15) to base 6.
13
Convert -4 (base 7) to base 9.
-4
What is 9 (base 11) in base 7?
12
-10 (base 13) to base 12
-11
Convert -4 (base 13) to base 3.
-11
Convert -101010011 (base 2) to base 14.
-1a3
Convert -6 (base 11) to base 8.
-6
Convert 5 (base 8) to base 10.
5
Convert 9 (base 16) to base 15.
9
-6 (base 13) to base 7
-6
Convert 22 (base 8) to base 3.
200
What is 2 (base 14) in base 13?
2
What is -1 (base 12) in base 2?
-1
53 (base 11) to base 5
213
What is -c (base 14) in base 12?
-10
What is -7b (base 12) in base 5?
-340
4 (base 13) to base 6
4
What is 0 (base 6) in base 8?
0
What is 75 (base 8) in base 3?
2021
12
|
{
"pile_set_name": "DM Mathematics"
}
|
icked without replacement from yyyyvvyyy.
1/6
Three letters picked without replacement from {k: 2, q: 1, b: 7, e: 5, c: 3}. What is prob of picking 1 b and 2 c?
7/272
What is prob of picking 1 x and 1 p when two letters picked without replacement from aammpmppxl?
1/15
Calculate prob of picking 2 l when two letters picked without replacement from {z: 1, v: 2, w: 2, f: 3, j: 2, l: 2}.
1/66
Two letters picked without replacement from {z: 1, v: 3, c: 2, j: 3, k: 9}. What is prob of picking 1 c and 1 j?
2/51
Three letters picked without replacement from qqqqqqhhshyqsx. Give prob of picking 2 s and 1 y.
1/364
Two letters picked without replacement from xxxfxxfxxxxfxxxx. What is prob of picking 1 f and 1 x?
13/40
What is prob of picking 1 k and 3 x when four letters picked without replacement from xqpqpwwxxpxnkxx?
4/273
Three letters picked without replacement from {s: 4, e: 7}. Give prob of picking 2 s and 1 e.
14/55
Calculate prob of picking 2 w and 1 j when three letters picked without replacement from wwjwwwjwjw.
21/40
Two letters picked without replacement from {r: 2, a: 1, y: 2, s: 2, f: 1, j: 1}. What is prob of picking 1 j and 1 f?
1/36
Calculate prob of picking 2 y and 2 h when four letters picked without replacement from {h: 6, y: 7}.
63/143
Calculate prob of picking 1 e and 1 l when two letters picked without replacement from {l: 11, e: 2}.
11/39
What is prob of picking 1 o and 1 x when two letters picked without replacement from muhhxhhuhhhohhmhhhhm?
1/190
Four letters picked without replacement from {n: 8, a: 3}. Give prob of picking 2 n and 2 a.
14/55
Four letters picked without replacement from {a: 7, t: 5}. Give prob of picking 1 a and 3 t.
14/99
Four letters picked without replacement from {k: 5, d: 9}. Give prob of picking 4 d.
18/143
Two letters picked without replacement from orrjjdjdrddd. Give prob of picking 1 d and 1 o.
5/66
Calculate prob of picking 1 b and 3 e when four letters picked without replacement from btteebbbetbtb.
6/715
Calculate prob of picking 1 h, 1 s, and 1 t when three letters picked without replacement from {h: 4, j: 1, m: 1, t: 1, s: 1}.
1/14
What is prob of picking 1 j and 1 p when two letters picked without replacement from {j: 7, p: 1}?
1/4
Two letters picked without replacement from {y: 1, x: 1, f: 1, g: 5, i: 6, b: 2}. Give prob of picking 1 b and 1 f.
1/60
Calculate prob of picking 2 p when two letters picked without replacement from cpttcppgpvtu.
1/11
Four letters picked without replacement from ppxqxxmxpxqppxpxpx. What is prob of picking 2 x, 1 m, and 1 q?
14/765
Two letters picked without replacement from eeeyerrr. Give prob of picking 2 e.
3/14
Two letters picked without replacement from yoyoooyoyoooy. What is prob of picking 1 y and 1 o?
20/39
Two letters picked without replacement from {d: 2, s: 2, b: 2, r: 1, j: 1, z: 1}. What is prob of picking 1 z and 1 j?
1/36
Three letters picked without replacement from {q: 2, e: 3, x: 5, g: 8, c: 2}. What is prob of picking 1 g, 1 c, and 1 q?
8/285
Three letters picked without replacement from {x: 1, e: 2, p: 1, l: 1}. Give prob of picking 1 e, 1 p, and 1 l.
1/5
What is prob of picking 1 x and 2 w when three letters picked without replacement from {p: 1, l: 3, h: 5, w: 2, i: 6, x: 2}?
2/969
Calculate prob of picking 4 g when four letters picked without replacement from gqqgqqqggqqgqgggqgg.
35/646
Calculate prob of picking 2 z when two letters picked without replacement from kkkzkkzzkkkkkkzkzkkk.
1/19
Four letters picked without replacement from {e: 10, o: 4, m: 4, l: 2}. What is prob of picking 1 o and 3 m?
16/4845
Calculate prob of picking 1 l and 1 t when two letters picked without replacement from {b: 1, w: 2, y: 1, t: 3, l: 3, j: 5}.
3/35
Calculate prob of picking 1 m, 1 f, and 2 i when four letters picked without replacement from iimifmhiihhfmhi.
6/91
Three letters picked without replacement from mdmdmmdm. What is prob of picking 3 m?
5/28
Four letters picked without replacement from hcsdjhhcdyc. Give prob of picking 2 h, 1 s, and 1 d.
1/55
Calculate prob of picking 3 p and 1 f when four letters picked without replacement from ffffpfffpffpff.
1/91
What is prob of picking 1 v and 1 r when two letters picked without replacement from {v: 1, l: 3, o: 6, r: 1, f: 2, w: 2}?
1/105
What is prob of picking 3 a and 1 t when four letters picked without replacement from tattattatttttt?
1/91
Calculate prob of picking 2 y and 1 c when three letters picked without replacement from {c: 2, y: 8}.
7/15
Four letters picked without replacement from {b: 1, j: 4, w: 1, a: 4, g: 1}. Give prob of picking 3 a and 1 b.
2/165
Three letters picked without replacement from {k: 6, n: 1, v: 10, d: 2, l: 1}. What is prob of picking 1 n and 2 k?
1/76
What is prob of picking 2 r when two letters picked without replacement from mmmrmmmrmmmmmmmmmmm?
1/171
What is prob of picking 3 s when three letters picked without replacement from {y: 3, s: 15}?
455/816
What is prob of picking 1 m and 1 e when two letters picked without replacement from seaaaeoeaoaom?
1/26
Two letters picked without replacement from {u: 2, s: 2, n: 1}. What is prob of picking 2 u?
1/10
Four letters picked without replacement from {q: 3, r: 7}. Give prob of picking 4 r.
1/6
Two letters picked without replacement from {k: 2, l: 3, x: 7, w: 5}. What is prob of picking 2 x?
21/136
Calculate prob of picking 1 l, 2 d, and 1 x when four letters picked without replacement from {l: 7, d: 2, x: 6}.
2/65
Three letters picked without replacement from rururfjfucfujucu. Give prob of picking 3 f.
1/560
Four letters picked without replacement from qqqqqqfqqqqqqqq. What is prob of picking 3 q and 1 f?
4/15
Calculate prob of picking 4 y when four letters picked without replacement from syyssybbybyyyyyysyb.
55/646
Four letters picked without replacement from {z: 8, k: 8, u: 2}. What is prob of picking 1 u, 2 z, and 1 k?
112/765
Calculate prob of picking 2 o and 1 b when three letters picked without replacement from yeobhxe.
0
Calculate prob of picking 2 i and 1 p when three letters picked without replacement from {i: 4, p: 5, k: 3}.
3/22
What is prob of picking 1 q and 1 m when two letters picked without replacement from zqqnnmnnn?
1/18
Three letters picked without replacement from udiirujy. Give prob of picking 1 i, 1 j, and 1 d.
1/28
Two letters picked without replacement from {z: 8, k: 5, x: 3}. What is prob of picking 2 z?
7/30
Two letters picked without replacement from yoyoaaoaoylo. Give prob of picking 1 o and 1 l.
5/66
Two letters picked without replacement from ztxx. What is prob of picking 2 x?
1
|
{
"pile_set_name": "DM Mathematics"
}
|
-1?
-1
Which is smaller: 978 or 1953/2?
1953/2
Does -879 = -878?
False
Are 1557 and 1562 nonequal?
True
Is -21 equal to -18?
False
Is 18994 greater than 18992?
True
Is -1 not equal to -8/663?
True
Which is smaller: 14 or 196/13?
14
Is 197 >= 198?
False
Is -0.2 at least as big as -0.1176?
False
Is -0.1 less than 0.03918?
True
Is -1/1326 smaller than -1?
False
Does 3/377 = -1?
False
Which is smaller: 14/5 or 2.7?
2.7
Which is greater: 1167 or 12834/11?
1167
Which is smaller: -1/2931 or 0?
-1/2931
Is -425 at most 2?
True
Is 479 at most 3363/7?
True
Is -5446 not equal to -5448?
True
Which is greater: -2/3 or 45?
45
Is 58 >= 455/8?
True
Which is smaller: -564/11 or -51?
-564/11
Is 40 <= -273?
False
Which is greater: 1 or -2/111?
1
Is -1 less than -163?
False
Is 0.5 less than 0.032?
False
Which is bigger: -13 or -37/3?
-37/3
Is -1966/11 at least -180?
True
Is -6994 less than -2?
True
Are 0 and 5/3372 unequal?
True
Which is greater: 15 or 484/31?
484/31
Are 1289 and 1296 equal?
False
Which is smaller: -1 or -3/797?
-1
Does -385 = -386?
False
Which is smaller: 31/111 or 0?
0
Which is smaller: 30/7 or 0?
0
Is -30 equal to -8?
False
Which is bigger: 443 or 444?
444
Is -7549 < -1?
True
Which is greater: 12 or 105?
105
Which is bigger: 34 or 32?
34
Which is bigger: 849 or 5952/7?
5952/7
Which is bigger: 12 or 14?
14
Is 0 smaller than -16.5?
False
Which is bigger: -8 or -64/7?
-8
Is -39656 bigger than -39657?
True
Which is greater: 0 or 1/22697?
1/22697
Is -977/4 smaller than -244?
True
Is -33 > -131?
True
Is 16096 > 16096?
False
Is -4244 smaller than -4243?
True
Is 322 greater than 317?
True
Which is smaller: -1/11 or 878?
-1/11
Which is bigger: 1 or 2/2211?
1
Do -31.6 and -1/5 have the same value?
False
Are 1 and 2/21547 equal?
False
Which is bigger: 43/8 or 6?
6
Which is greater: 2 or 23/40?
2
Is 2/465 greater than 0?
True
Which is bigger: -10132 or -10133?
-10132
Which is greater: -190 or 0.1?
0.1
Is -28 greater than -188/7?
False
Which is smaller: -17/4 or -3?
-17/4
Which is smaller: -865 or -867?
-867
Which is greater: 0 or 0.14734?
0.14734
Which is bigger: 1 or -2/9025?
1
Does -620 = -600?
False
Is 1211 at least 1211?
True
Which is bigger: 3246 or 3245?
3246
Does 984 = 1/7?
False
Is -3 less than -39?
False
Which is bigger: -49 or -52?
-49
Are -7 and -18 non-equal?
True
Is 299/7 greater than or equal to 44?
False
Is 1 != 30/949?
True
Is -74 < -75?
False
Which is smaller: -229 or 9?
-229
Is -27828 less than -0.1?
True
Which is smaller: 1 or -2442?
-2442
Which is greater: 4/2199 or 0?
4/2199
Is -2 greater than or equal to 1110?
False
Is 27 != -17?
True
Is -2053 bigger than -2052?
False
Is -1 < 3497?
True
Is 871 smaller than 870?
False
Which is smaller: 16/7 or 1288?
16/7
Which is smaller: 5/3067 or 1?
5/3067
Which is smaller: -3297/5 or -660?
-660
Is 124 < 497/4?
True
Which is smaller: -4 or 2/1871?
-4
Which is bigger: 8 or 76/11?
8
Which is greater: -40 or -45?
-40
Which is greater: 3.96 or -1?
3.96
Is 5 != -65?
True
Which is smaller: 2223 or 2219?
2219
Is 10658 at most 10658?
True
Which is smaller: 1 or 148?
1
Is -7 equal to -33?
False
Is -139 >= 1?
False
Which is smaller: -2/3299 or 1?
-2/3299
Are 0.75 and 9 non-equal?
True
Which is bigger: -147 or -585/4?
-585/4
Which is greater: -232 or 0.6?
0.6
Which is bigger: 0.6 or -12?
0.6
Which is smaller: -40 or -41?
-41
Which is smaller: 13/119 or 1?
13/119
Which is greater: -75/2 or -39?
-75/2
Is 9563 greater than 9564?
False
Which is bigger: -5344 or -5348?
-5344
Which is greater: -6/5 or -1/221?
-1/221
Is 0.06 equal to 40.7?
False
Is 5539 smaller than 5541?
True
Which is smaller: 10 or 46?
10
Is 129 > 127?
True
Is 1535/4 >= 383?
True
Are -108 and 10 non-equal?
True
Are 141 and 119 non-equal?
True
Which is greater: -613/16 or -38?
-38
Is -55 at most -55?
True
Is 489 <= 490?
True
Which is bigger: -131 or -134?
-131
Is -1 != -1?
False
Which is smaller: 0 or -704/17?
-704/17
Which is smaller: 71 or 72?
71
Which is bigger: 2 or 49/47?
2
Which is smaller: -206 or -212?
-212
Is 1 > 2/5?
True
Is -673/3 at least -224?
False
Which is bigger: 1792/9 or 198?
1792/9
Which is smaller: -28 or 223?
-28
Is 957/34 < 28?
False
Is 10453 < 10453?
False
Which is greater: 0.021 or 2/17?
2/17
Which is smaller: -49 or -1/555?
-49
Is 536/17 at most as big as 31?
False
Is -1899/5 at most as big as -379?
True
Is 398 bigger than -2/5?
True
Is 131 >= 143?
False
Which is bigger: 1/62 or -6/13?
1/62
Which is greater: -59/8 or -6?
-6
Is -0.19 less than 71?
True
Are 52 and 53 equal?
False
Do 2 and 346 have the same value?
False
Which is smaller: -1 or -5/446?
-1
Is -49/13 <= -14?
False
Which is bigger: 12/31 or 1?
1
Which is bigger: -1/717 or 1?
1
Are -17 and -16 equal?
False
Is -7/5 bigger than 4/5?
False
Which is greater: -351 or -1409/4?
-351
Is -1 greater than -5/988?
False
Which is greater: -3/1189 or 0?
0
Are -4/37 and 1 unequal?
True
Which is smaller: 7 or 730?
7
Is 0 < -1/13
|
{
"pile_set_name": "DM Mathematics"
}
|
2 - -1. Sort m, v, c in decreasing order.
c, m, v
Let y = 28.56 + -28. Let n be (-3)/((-59)/236 - (-4 + (-12)/(-4))). Put 0.5, 3/5, n, y in increasing order.
n, 0.5, y, 3/5
Suppose -2 + 5 = -3*g. Let b = 5.001 - 4.001. Put b, -1/3, -1.1, g in descending order.
b, -1/3, g, -1.1
Let q = 5/7533 - 23399/1205280. Put q, -1, 2, 1/5, -2 in increasing order.
-2, -1, q, 1/5, 2
Suppose l = -4*l + 10. Let d(n) = -2*n**2 + 61*n + 314. Let y be d(35). Sort y, -3, l, 0 in ascending order.
-3, y, 0, l
Let j(n) = 204*n + 5727. Let p be j(-28). Put -2.7, -2/7, p in decreasing order.
p, -2/7, -2.7
Suppose -20 = f - 5*v, -2*f - 4*v = -3*f - 18. Let g be -6*5/f + -1. Put -1, 3, g, -4 in decreasing order.
3, g, -1, -4
Suppose -4*j + 0*v + 26 = -5*v, -5*v - 10 = 0. Let z be (-22)/j - 4/(-3 + 2). Sort z, 2, -0.04, 0.5 in descending order.
2, 0.5, -0.04, z
Let r be ((-272)/(-20))/(3/90). Let l = 412 - r. Sort 1, 13, l, -3.
-3, 1, l, 13
Suppose -x + 4*b = 22, -4*b - 2 = x + 12. Suppose -t + 4*v + 16 = 3*t, -4*v = -t + 16. Sort -3, 1, x, t in ascending order.
x, -3, t, 1
Suppose -159 = 3*w - 6*w. Suppose c + 62 - w = 0. Let o be ((-5)/(-3))/((-3)/9). Sort c, 2, o.
c, o, 2
Suppose 0 = -v - 0*v + a + 2, -5*a = -4*v + 7. Suppose 3*y = -v, -3*d + 5*y - 8 = 5. Put -5, d, -2 in descending order.
-2, -5, d
Suppose -4*r - 2 = 14. Let z = -3 - r. Suppose -77*j + 75*j + x + 30 = 0, 4*x + 30 = 2*j. Put z, 0.1, 2, j in descending order.
j, 2, z, 0.1
Let i = -2105 - -2127.13. Let s = i - -0.87. Let d = -19 + s. Sort d, -1.1, 5 in descending order.
5, d, -1.1
Suppose 0 = 59*m - 51*m - 200. Sort m, -4, 0, -3 in descending order.
m, 0, -3, -4
Let h be ((-36)/16)/(-9)*(32/14)/((-17)/(-119)). Let d(m) be the first derivative of m**3/3 - 3*m**2/2 - m - 1. Let w be d(2). Put w, 12, h in increasing order.
w, h, 12
Suppose -2*s + 5*s = 0. Let f(o) = o**3 - 3*o**2 - 11*o - 1. Let x be 86/18 + 40/180. Let h be f(x). Put -5, 5, h, s in ascending order.
h, -5, s, 5
Let i be -6 - (2/(-4) - 15/6). Let b be (-4 - i)/(3/(-6)). Let r be 15/5*1 + 1. Put b, r, -4 in increasing order.
-4, b, r
Let i = -125.9 + 92. Let v = i + 34. Let k = 0.8 + -1. Sort v, k, -5/2.
-5/2, k, v
Let l = 70/3 - 212/9. Let k be 6498/(-684) - (-10 - 1). Put 11, l, k, -0.1 in descending order.
11, k, -0.1, l
Let g = -173 - -175. Let c = 64.09 - 63. Let z = -0.09 + c. Sort -0.04, z, g.
-0.04, z, g
Suppose -16*n + 1160 = 13*n. Let i be (-1)/(-6)*n/50. Let m be (-2)/(-44)*16/4. Sort 0.4, m, i in ascending order.
i, m, 0.4
Suppose 0 = -m + 303 + 689. Suppose 0 = 4*k + 3*b - 5*b + m, 5*k - b + 1234 = 0. Let d be (-3 - k/78) + (-10)/(-104). Put d, -4/11, 0.2 in ascending order.
-4/11, 0.2, d
Let j = -12846 - -12947. Sort j, 6, 5, 0.1 in descending order.
j, 6, 5, 0.1
Suppose -f + 866 = 3*n + 227, 0 = 5*n + 4*f - 1072. Let x = n + -217. Put -13, x, -3 in decreasing order.
-3, x, -13
Let r = -0.01005 + 1.01005. Sort r, -1/2, 280, -2 in decreasing order.
280, r, -1/2, -2
Let z(u) = -3*u**2 - 65*u - 42. Let g be z(-21). Suppose -7*i = -14*i - 21. Put g, i, 26 in ascending order.
i, g, 26
Let i(s) = -14*s**2 + 1443*s - 99. Let g be i(103). Sort g, 5708, 1 in increasing order.
1, g, 5708
Let h = -1215 - -1304. Put 0, -3, h, -5 in decreasing order.
h, 0, -3, -5
Suppose -5*o + 11 = 4*q, q + q + 14 = 4*o. Suppose 2*a + 114 = 3*p, 3*a = -0*a - 9. Suppose p*u + 74 = -u. Sort 0, o, u, 4 in increasing order.
u, 0, o, 4
Let v = 1.28 + -0.28. Suppose -15*j + 112 = -19*j. Let m be j/(-70) - (-33)/(-20). Sort m, -3, v.
-3, m, v
Let k = -40051 + 40053. Let x = 0.25 - -0.05. Sort x, -19/2, -3, k in decreasing order.
k, x, -3, -19/2
Let n = -592.1 + 643. Let m = 52.9 - n. Sort m, 3, -39, -1/4 in decreasing order.
3, m, -1/4, -39
Let b = -6267 + 6323. Put 3/4, 0, b in decreasing order.
b, 3/4, 0
Let y = 0.03 - -177.97. Let i = y - 176.2. Let r = -157/1128 - -2/141. Put r, -2/13, i in descending order.
i, r, -2/13
Let f be 6/9 + (-694)/(-3). Suppose -4*l = 2*s - 0*s - f, 0 = -3*l + 6. Let n be (-1)/(-2)*64/s. Sort -2/7, 0.2, n in decreasing order.
n, 0.2, -2/7
Let q be (-11 - (2 + 1))*(-1)/(-2). Let k(t) = -5*t - 35. Let c be k(q). Sort c, 2, -14 in descending order.
2, c, -14
Let d be -14 + (-846)/(-45) + -5. Sort -16, d, 12 in decreasing order.
12,
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 867*s - 1170 = 0 for s.
-39, -3, 1, 10
Suppose y**3/3 + 250076*y**2/3 + 250075*y/3 = 0. What is y?
-250075, -1, 0
Factor 2*s**2 + 4802*s + 156288.
2*(s + 33)*(s + 2368)
Factor -2*o**3/9 - 2282*o**2/9 - 654350*o/9 - 647522/3.
-2*(o + 3)*(o + 569)**2/9
Suppose -4*i**4 + 2468*i**3 + 4984*i**2 - 19808*i = 0. What is i?
-4, 0, 2, 619
Determine a so that -a**5 - 248*a**4 - 734*a**3 + 248*a**2 + 735*a = 0.
-245, -3, -1, 0, 1
Let 12*j**3/5 + 50666*j**2/5 + 53484296*j/5 + 8912642/5 = 0. What is j?
-2111, -1/6
Find x, given that -10*x**3/3 + 8924*x**2/3 + 4766*x + 1788 = 0.
-1, -3/5, 894
Let 4*l**2/7 - 768704*l + 258521304832 = 0. Calculate l.
672616
Solve 5*p**2 + 9800*p + 19580 = 0.
-1958, -2
Suppose -t**5/2 + 73*t**4/2 + 941*t**3/2 - 7701*t**2/2 - 60804*t - 161352 = 0. Calculate t.
-9, -4, 12, 83
Suppose 2*b**2/17 + 3618*b/17 + 64476/17 = 0. What is b?
-1791, -18
Let -3*c**5 - 7515*c**4 - 89781*c**3 - 82269*c**2 = 0. Calculate c.
-2493, -11, -1, 0
Solve -3*i**2 + 3912*i - 364509 = 0.
101, 1203
Suppose -38*u**3/9 - 23518*u**2/9 + 49672*u/9 - 552 = 0. Calculate u.
-621, 2/19, 2
Factor -3*u**3/4 + 249999*u**2/2 + 1500075*u + 4500306.
-3*(u - 166678)*(u + 6)**2/4
Factor -h**3/7 - 1454*h**2/7 + 16115*h/7.
-h*(h - 11)*(h + 1465)/7
Determine o, given that 4*o**3 + 12796*o**2 + 10252768*o + 30643248 = 0.
-1598, -3
Factor 3*f**2 + 4551*f.
3*f*(f + 1517)
Factor -19*v**3/3 + 2626*v**2/3 - 30337*v + 6348.
-(v - 69)**2*(19*v - 4)/3
Suppose -22*t**2 + 1720*t - 312 = 0. Calculate t.
2/11, 78
Factor -2*i**2/3 - 20552*i/3 - 6850.
-2*(i + 1)*(i + 10275)/3
Find u, given that u**5 - 18*u**4 - 67*u**3 + 84*u**2 = 0.
-4, 0, 1, 21
Suppose 4*o**5/9 - 928*o**4/9 - 2216*o**3/3 - 10496*o**2/9 - 4780*o/9 = 0. Calculate o.
-5, -1, 0, 239
Factor -2*q**4 - 32*q**3 + 446*q**2 + 4004*q.
-2*q*(q - 13)*(q + 7)*(q + 22)
Factor y**4/6 + 21*y**3/2 - 329*y**2/3 - 120*y.
y*(y - 10)*(y + 1)*(y + 72)/6
Determine u so that u**4/3 - 304046*u**3/9 + 506737*u**2/9 - 202694*u/9 = 0.
0, 2/3, 1, 101347
Determine p, given that 5*p**5 + 680*p**4 + 30465*p**3 + 491490*p**2 + 2298780*p + 1837080 = 0.
-54, -21, -6, -1
Factor -2*t**3/5 + 171986*t**2/5.
-2*t**2*(t - 85993)/5
Solve 4*g**5/13 - 454*g**4/13 + 12742*g**3/13 + 9474*g**2/13 - 85842*g/13 + 38988/13 = 0 for g.
-3, 1/2, 2, 57
Find i such that 2*i**4/5 - 93*i**3/5 + 296*i**2/5 + 219*i/5 - 172/5 = 0.
-1, 1/2, 4, 43
Factor -x**3 - 33585*x**2 - 282139128*x - 2536532496.
-(x + 9)*(x + 16788)**2
Factor -2*m**4/21 - 12440*m**3/21 - 19269416*m**2/21 + 77526080*m/7 - 233026944/7.
-2*(m - 6)**2*(m + 3116)**2/21
Factor 4*w**2 + 4712*w + 4708.
4*(w + 1)*(w + 1177)
Find z, given that -z**5 + 449*z**4 - 51069*z**3 + 150079*z**2 - 99458*z = 0.
0, 1, 2, 223
Find i such that -2*i**3 - 1534*i**2 - 317822*i - 8889474 = 0.
-367, -33
What is c in 5*c**5 + 120*c**4 + 570*c**3 - 2080*c**2 - 2535*c = 0?
-13, -1, 0, 3
Factor -57*b**2/2 - 119185*b/2 + 2091.
-(b + 2091)*(57*b - 2)/2
Determine w so that 20*w**4 + 11445*w**3 - 148775*w**2 + 233835*w - 96525 = 0.
-585, 3/4, 1, 11
What is k in -3*k**5 + 4614*k**4 + 51126*k**3 - 13836*k**2 - 162579*k - 102234 = 0?
-11, -1, 2, 1549
Find p such that p**3 - 727*p**2 + 5767*p - 10785 = 0.
3, 5, 719
Factor -4*w**3 - 520*w**2 - 6252*w - 19656.
-4*(w + 6)*(w + 7)*(w + 117)
Find k, given that 5*k**5 - 267*k**4 - 5424*k**3 - 26648*k**2 - 26256*k + 15120 = 0.
-9, -6, -2, 2/5, 70
Determine o, given that o**2/6 + 1051*o/3 - 701/2 = 0.
-2103, 1
Factor -3645810045*k**2 + 14041560*k - 13520.
-5*(27003*k - 52)**2
Solve 18*k**4 - 1554*k**3 + 7081*k**2/2 - 1051*k + 84 = 0.
1/6, 2, 84
Find j, given that -j**2 - 18192*j - 18191 = 0.
-18191, -1
Factor 3*t**4 + 5448*t**3 - 32772*t**2 + 43728*t.
3*t*(t - 4)*(t - 2)*(t + 1822)
Factor 5*t**2 - 1716560*t + 147328911680.
5*(t - 171656)**2
Suppose 42*q**4/5 + 537646*q**3/5 + 1720908804*q**
|
{
"pile_set_name": "DM Mathematics"
}
|
cking 1 a and 2 d?
0
Four letters picked without replacement from {j: 6, a: 2}. Give prob of picking 4 j.
3/14
Calculate prob of picking 1 f and 1 b when two letters picked without replacement from {j: 4, l: 2, b: 3, p: 2, f: 1}.
1/22
Calculate prob of picking 2 z and 1 l when three letters picked without replacement from zllllzlzzz.
5/12
What is prob of picking 1 z and 1 y when two letters picked without replacement from {c: 5, n: 1, y: 3, m: 3, r: 1, z: 1}?
3/91
What is prob of picking 1 m and 1 j when two letters picked without replacement from {j: 2, m: 9}?
18/55
Calculate prob of picking 2 p when two letters picked without replacement from bmmppmsppspbmmgbgspp.
21/190
What is prob of picking 1 b and 1 l when two letters picked without replacement from {b: 2, l: 8, z: 3, o: 2, h: 2}?
2/17
Two letters picked without replacement from whooh. What is prob of picking 1 h and 1 w?
1/5
What is prob of picking 2 i and 1 p when three letters picked without replacement from zizpbhpqqpizqpi?
12/455
What is prob of picking 1 w and 1 t when two letters picked without replacement from {u: 3, c: 2, p: 2, w: 4, t: 6}?
3/17
Calculate prob of picking 1 o and 2 d when three letters picked without replacement from odooodokoook.
2/55
What is prob of picking 1 r and 1 l when two letters picked without replacement from cdaccrccldrccddd?
1/60
Three letters picked without replacement from {v: 9, u: 7}. Give prob of picking 2 u and 1 v.
27/80
What is prob of picking 2 m when two letters picked without replacement from {o: 9, m: 2}?
1/55
Three letters picked without replacement from {f: 3, c: 1, x: 1, t: 1, j: 1}. What is prob of picking 1 c, 1 j, and 1 x?
1/35
Four letters picked without replacement from {j: 4, e: 2, f: 1}. What is prob of picking 1 f, 1 e, and 2 j?
12/35
What is prob of picking 4 j when four letters picked without replacement from hjjjhujhuhjuuhjhhju?
35/3876
Two letters picked without replacement from nnnnnnnwnw. What is prob of picking 1 w and 1 n?
16/45
Calculate prob of picking 1 x and 1 g when two letters picked without replacement from ogooooxogoooxgooo.
3/68
Two letters picked without replacement from {r: 8, b: 5}. Give prob of picking 2 r.
14/39
Three letters picked without replacement from {n: 1, w: 1, d: 1, l: 1, s: 1}. Give prob of picking 1 s, 1 w, and 1 l.
1/10
Four letters picked without replacement from kwkwwkwkmmk. Give prob of picking 4 k.
1/66
Three letters picked without replacement from nbbbvbnvbnn. What is prob of picking 3 n?
4/165
Calculate prob of picking 1 g, 1 z, and 1 n when three letters picked without replacement from gnzrr.
1/10
Three letters picked without replacement from wgwuwmuumcuuwbwww. Give prob of picking 1 b, 1 m, and 1 c.
1/340
What is prob of picking 1 g and 1 m when two letters picked without replacement from {d: 4, m: 2, g: 2, q: 1, h: 2, x: 1}?
2/33
Calculate prob of picking 1 s and 1 k when two letters picked without replacement from ttkktsr.
2/21
What is prob of picking 3 b when three letters picked without replacement from {h: 7, b: 4}?
4/165
Calculate prob of picking 2 s when two letters picked without replacement from {e: 3, p: 4, q: 4, s: 9}.
18/95
Three letters picked without replacement from {q: 2, o: 2}. Give prob of picking 2 q and 1 o.
1/2
Calculate prob of picking 1 n and 1 r when two letters picked without replacement from pnnnnppprrpnn.
2/13
Two letters picked without replacement from lyoll. Give prob of picking 1 y and 1 l.
3/10
Three letters picked without replacement from mmyzm. What is prob of picking 3 m?
1/10
What is prob of picking 1 a and 1 g when two letters picked without replacement from {g: 12, r: 4, a: 4}?
24/95
Four letters picked without replacement from ggabjgggbabjjgjajj. What is prob of picking 2 g and 2 b?
1/68
Two letters picked without replacement from qqqwqqqw. Give prob of picking 2 w.
1/28
Four letters picked without replacement from {m: 1, z: 4, q: 3, u: 6, t: 4, c: 1}. What is prob of picking 1 c, 1 m, 1 t, and 1 z?
4/969
What is prob of picking 1 q and 1 r when two letters picked without replacement from {r: 4, i: 2, q: 1, m: 2}?
1/9
Calculate prob of picking 1 v, 1 t, and 2 w when four letters picked without replacement from wbvttwwtwbvvrubvt.
24/595
Three letters picked without replacement from {r: 1, b: 3, s: 1, z: 2}. What is prob of picking 1 r and 2 b?
3/35
Three letters picked without replacement from {z: 15, b: 3}. What is prob of picking 2 b and 1 z?
15/272
Three letters picked without replacement from qqqqzqhmw. What is prob of picking 1 z and 2 q?
5/42
What is prob of picking 1 w and 2 f when three letters picked without replacement from {w: 4, s: 2, f: 2}?
1/14
Two letters picked without replacement from kkkkkttkkk. Give prob of picking 2 k.
28/45
What is prob of picking 1 t, 1 i, and 2 n when four letters picked without replacement from {n: 3, i: 1, t: 1}?
3/5
Two letters picked without replacement from {z: 2, l: 1, f: 3, u: 2, t: 2, v: 2}. What is prob of picking 1 u and 1 l?
1/33
Calculate prob of picking 1 l, 1 j, and 1 s when three letters picked without replacement from vjrisljjrii.
1/55
Calculate prob of picking 2 j and 1 g when three letters picked without replacement from jgjjjg.
3/5
Calculate prob of picking 1 b and 1 p when two letters picked without replacement from {b: 2, p: 2}.
2/3
Three letters picked without replacement from {w: 19, o: 1}. What is prob of picking 3 w?
17/20
Three letters picked without replacement from {h: 3, p: 2, c: 12, d: 1, a: 1}. Give prob of picking 1 h, 1 p, and 1 c.
24/323
What is prob of picking 1 m, 1 h, and 2 e when four letters picked without replacement from {h: 2, m: 1, e: 3, u: 6}?
2/165
Three letters picked without replacement from {e: 6}. What is prob of picking 3 e?
1
Calculate prob of picking 2 x and 1 q when three letters picked without replacement from eqqxxeqqqqxq.
21/220
Three letters picked without replacement from {n: 1, t: 2, s: 1, a: 1, j: 1, w: 2}. Give prob of picking 1 w, 1 s, and 1 j.
1/28
Three letters picked without replacement from ziqqffqqzidqiqii. Give prob of picking 1 q, 1 d, and 1 f.
3/140
What is prob of picking 1 c and 1 n when two letters picked without replacement from {u: 2, n: 4, c: 8, m: 5}?
32/171
Two letters picked without replacement from {y: 1, i: 2, g: 6, o: 1, v: 2}. Give prob of picking 1 o and 1 i.
1/33
What is prob of picking 1 d and 2 r when three letters picked without replacement from rrrrrrrrrrrrdrrrrdrr?
51/190
Calculate prob of picking 1 z and 1 r when two letters picked without replacement from {z: 2, r: 1, d: 1, i: 5}.
|
{
"pile_set_name": "DM Mathematics"
}
|
0003
Suppose 0 = -5*r - d + 8, -3*r + 5*d = 2*r - 20. Let j = -8 + 8. Suppose j*f = -r*f + 1200000. What is f rounded to the nearest 100000?
600000
Let o(y) = -5*y - 27. Let w be o(-6). Let l be ((-25994)/2 - w)*(-1 - 0). Round l to the nearest one thousand.
13000
Let m = -0.05500033 + 0.055. What is m rounded to seven dps?
-0.0000003
Let w be ((-6)/9)/(33/(-42570000)). Round w to the nearest 1000000.
1000000
Let p be (-1748)/(-8) + (-6)/(-4). Let a be (-9)/((-9)/p) - 2. Let s be (a/6 - 3)*60. Round s to the nearest ten thousand.
0
Let u = -1.2 + 33.2. Let r = u + -31.999938. Round r to 5 dps.
0.00006
Let o = 150 - 295. Let w = o - -145.00000161. Round w to 7 decimal places.
0.0000016
Let v = -9.2138 - -0.0938. Round v to one dp.
-9.1
Suppose -103*t + 967070 = -90*t. Round t to the nearest ten thousand.
70000
Let c(f) = -124*f + 92. Let x be c(18). Round x to the nearest one hundred.
-2100
Let f = 5331.99988434 + -5332. What is f rounded to six dps?
-0.000116
Let f = -10 - -22. Suppose 30*n = 26*n - f. Let d be n + 2 + 370001*1. What is d rounded to the nearest 100000?
400000
Let n = 4714636.6 + -4714617.600003. Let z = n + -19. What is z rounded to five dps?
0
Let a(k) be the third derivative of 29*k**4/24 + k**3/6 - 10*k**2. Let c be a(6). Let y be c*(20002 - 8/4). Round y to the nearest 1000000.
4000000
Let u be 2/(-3) + 9 + 66205/(-3). Round u to the nearest ten thousand.
-20000
Let g be 16/20 + (-3486)/70. Round g to the nearest ten.
-50
Let f = 9548 + -5238. What is f rounded to the nearest 1000?
4000
Let b(h) = -2*h - 8. Let v be b(-5). Let q be 25454816/(v/(-1)) + 2. Let w = q + 18227406. What is w rounded to the nearest one million?
6000000
Suppose 8*h + y = 11*h - 12886, 0 = 2*h + y - 8594. Round h to the nearest 100.
4300
Let d = -9198.0017164 - -9198. What is d rounded to four decimal places?
-0.0017
Let g = -48.000336 + 48. Round g to 4 dps.
-0.0003
Let d = -1789 - -1789.000001816. Round d to six decimal places.
0.000002
Let d = 202.9999653 + -203. What is d rounded to five dps?
-0.00003
Let l = -308 - -290.3. Let m = l + 17.6999613. What is m rounded to six decimal places?
-0.000039
Let r = 0.476 + -0.6. Let v = -13.076 + r. Round v to the nearest integer.
-13
Suppose 226*y = 221*y - 9050. What is y rounded to the nearest one hundred?
-1800
Let i = 998 - 1025.48. Round i to the nearest integer.
-27
Let z = -650.0219848 + 649.692. Let j = z + 0.33. Round j to six dps.
0.000015
Let v be 1 + -6 + 368525/5. Round v to the nearest 1000.
74000
Let d(j) = 9*j**2 + 1 + 2 + 13*j - 2*j**3 - 17*j. Let y be d(4). Suppose y*r + 322896 = -22104. What is r rounded to the nearest ten thousand?
-120000
Let q = -1339 - -9. What is q rounded to the nearest one thousand?
-1000
Let t be (-4)/6 + (-117)/27. Let k(j) = 139999*j**2 - 6*j - 5. Let g be k(t). Round g to the nearest one million.
4000000
Let k be (-44)/8 + 2/(-4). Let t be (1 - 9)*36/12. Let z be k/(-8) - (-5112018)/t. Round z to the nearest ten thousand.
-210000
Let s = 49.84 - -0.16. Let r = s + -49.51. Let f = r - 0.48939. What is f rounded to four dps?
0.0006
Let b = 1151434 + -1151434.2000066. Let t = 0.2 + b. Round t to 6 decimal places.
-0.000007
Let q = 3027.99998144 + -3028. What is q rounded to 5 dps?
-0.00002
Let p = -12.49 + -40.81. What is p rounded to the nearest 10?
-50
Suppose 4*s = 2*s + 4. Suppose -11*u = -u - 3130. Let g be u + (s/2 - 4). What is g rounded to the nearest 100?
300
Let u = -1546268.796479 + 1546270. Let a = -1.203 + u. What is a rounded to 4 dps?
0.0005
Suppose -2*n = v - 1, 3 + 9 = -n - 3*v. Let p be (-1672)/(14/5 - n). What is p rounded to the nearest one thousand?
8000
Let g be (1 + 1)/(4/6). Suppose g*i - 2696545 = 492686. Let d = 6063077 - i. What is d rounded to the nearest 1000000?
5000000
Let l = -0.3 - -0.2. Let b = -0.05 - l. Let u = -0.1 + b. What is u rounded to two dps?
-0.05
Let x = -242.39997174 - -242.4. What is x rounded to six decimal places?
0.000028
Let p = -2.1 - -2.44. Let m = p - 59.34. Let w = m - -55.7. Round w to zero dps.
-3
Let t = 37447792.20000075 - 37447788. Let l = t - 4.2. Round l to seven dps.
0.0000008
Let b = 92.8 - 75.12. Let r = -2.38 + b. What is r rounded to the nearest integer?
15
Let x be 0 - 10/(-6)*3. Suppose l = 2 + x. Let t = -3 + l. What is t rounded to the nearest ten?
0
Suppose -5*n = -4*v + 103370, 2*n + 48586 = -4*v + 7266. Round n to the nearest one thousand.
-21000
Let s = -481 - -481.000000273. Round s to 7 dps.
0.0000003
Let m = 391337 - 391337.940036. Let h = m - -0.94. Round h to 4 dps.
0
Let r = 177 - 176.94024. Round r to 2 dps.
0.06
Let g = 104.65932 + -6.66562. Let w = g - 98. What is w rounded to three dps?
-0.006
Let s = 8.9438 - 9. Round s to 3 decimal places.
-0.056
Let v = -10539.48 - -10539.3700114. Let d = -0.11 - v. Round d to five decimal places.
-0.00001
Suppose -2*o - 2*o = -32. Let m be (14781/6)/(4/o). Suppose -m = 4*j - 927. Round j to the nearest 1000.
-1000
Suppose -5*f + 469364 - 75854 = -2*c, -5 = c. Round f to the nearest one thousand.
79000
Let r = 156 + -159.66. Let v = r - -4
|
{
"pile_set_name": "DM Mathematics"
}
|
x*k + 5 = 0, 5*j + 2*k + 37 - 4 = 0 for j.
-5
Let n be -1*(-2 + 7 - 9). Solve 0 = 5*c + 3*u - 9, 2*c - 2*u - n = -3*u for c.
3
Suppose 7 = 4*o - 5. Let x be 6/4*(2 - 2/o). Solve 0 = x*g + 3*g - 3*b - 13, -10 = -3*g + 4*b for g.
2
Let f = 10 - 6. Let u(v) = 4*v + 57. Let q be u(-14). Solve -11 = -f*m + s + q, 4*s = m - 18 for m.
2
Let q(g) = -g**3 - 8*g**2 + 7*g - 16. Let v be q(-9). Suppose 0 = v*k - s - 19, -2*k = s + 2*s - 15. Solve 0*x - 2*x = -r + 3, -2*r + k = -x for x.
1
Let b be (5 + -1)/(-4) - -2. Solve -2*q + 2 = o - b, -o + 7 = 4*q for o.
-1
Suppose d + 18 = -23. Let k = -36 - d. Solve 5*o - k*w - 20 = 0, -7*o - 4*w = -2*o + 16 for o.
0
Let n = -280 + 302. Solve 0 = -2*l + 10, -p = l + 3*l - n for p.
2
Suppose 27 - 37 = -2*u. Solve -3*r + u*z + 2 + 2 = 0, 2*r + 5*z + 14 = 0 for r.
-2
Suppose 6 = 2*n - 3*i, 3*n - 3*i + 4*i = -2. Suppose 4*r - 3 + 9 = 3*b, n = -2*b - 4*r + 4. Solve -b*f = -a, -5 = a - 3 for f.
-1
Let k = -1937 + 1940. Solve t - 7 = 2*b, -k*t - 4*b - 3 - 26 = 0 for t.
-3
Let y(v) = -3*v - 3. Let f = -6 - -4. Let g be y(f). Suppose -5*a + 23 - g = 0. Solve 4*k = 2*x + 2*k + a, -5*x - 10 = 5*k for x.
-2
Let t = 130 - 47. Suppose -5*p - t = -93. Solve -5*w + 12 = 4*d - 15, -p*d - 5*w = -21 for d.
3
Let s = -65 - -70. Solve -s*f - 2*b - 14 = b, 0 = 5*f + 2*b + 16 for f.
-4
Let l(r) = -20*r - 36. Let b be l(-2). Solve -5*f - 2*q + 9 = -5, -f = -3*q + b for f.
2
Let d = 11 + -9. Let n = -6 - -18. Let c = 12 - n. Solve c = -2*m, 5*l + 0*l + d*m = -5 for l.
-1
Let u be (190/171)/(4/18). Let o(f) = 4*f - 1. Let n be o(1). Solve -2*t = -5*v + 17 + 13, n*v - u*t = 37 for v.
4
Let f(c) = -c**3 - 6*c**2 + 9*c + 62. Let w be f(-6). Solve -2*i + 2*p = -8, -8 - w = -5*i + 3*p for i.
2
Suppose 0 = -2*z + 18 - 18. Let s be -13*(-1 - z/(-5)). Solve -g - 4*p + s = -0*g, -2*g + p - 1 = 0 for g.
1
Let r = -2 + -1. Let j = r - -6. Suppose v + j*v - 8 = 0. Solve u - v*f + 11 = 0, 5*f = 2*u - 3*u + 24 for u.
-1
Let q be 2/((-4)/(-6)) + 9. Solve -3*j - 2 = r + 8, 0 = 4*r + 5*j + q for r.
2
Let q(b) = -8*b + 7. Let w be q(2). Let g be ((-12)/w)/(-5*(-4)/30). Solve 4*o - 16 = 0, -g*k + 0 = o - 10 for k.
3
Suppose -432 = -9*i - 414. Solve -h - 3*k = -i, -h + 5*h - 4*k - 24 = 0 for h.
5
Let p be 1/(-8) + 561/136. Suppose 2*g - 21 = c, p*g - 11 = -4*c + 1. Solve 4*x + 4*o = -0 + g, -x - 3*o = -8 for x.
-1
Suppose 19*j - 8*j = 33. Solve -6*r = -q - j*r - 13, 0 = q + 5*r - 19 for q.
-1
Suppose -31*v + 33*v = 30. Let t be -4 + ((-14)/(-5))/(3/v). Solve -3*p + 15 = -5*d - t, 4*d + 28 = 4*p for p.
5
Let b be (0 + 4 + -9)/(-1). Let c(p) = -p + 10. Let w be c(b). Solve -w*n + 2*s = -0*s - 2, 0 = -4*n + 4*s - 8 for n.
2
Let v(u) = 3*u + 1. Let b be v(1). Let o = 6 - b. Solve -5*l = -o*m, -l - m = 4*m + 27 for l.
-2
Let b be 0 + 86/(-4) - 2/(-4). Let h = -5 - b. Solve -2*l + 4*s = 5 - 17, 4*l = -2*s - h for l.
-2
Suppose -5*x + 3*b = 9, -b = 5*x - 6*b + 15. Solve -g = 5*m + 9 - 1, x = g + 2*m + 2 for g.
2
Let n(i) = -i**3 - 2*i**2 + i + 3. Let g be n(0). Suppose 4*l - 4*m = 0, g*l + 5*m - 2*m = 30. Solve 3*d - 4*w = w - 2, l*d = 4*w + 1 for d.
1
Let t = 12 + -20. Let m be 100/36 - t/36. Solve 2*q = -3*q + 5*k - 25, 0 = q + m*k - 3 for q.
-3
Let o be (-28)/(-6) + 6/(-9). Suppose -o*f = f - 85. Suppose -3*s + 19 = -f. Solve -3*c - s = 5*r, c = -3*r - 3*c - 16 for r.
0
Let y(v) = 61*v + 244. Let k be y(-4). Solve p - 3 = -2*r, -3*r - 5*p + 10 + 5 = k for r.
0
Suppose -5*l - 25 + 4 = -k, 0 = -4*k + 2*l - 6. Let a be ((-40)/5)/k + 0 + 17. Solve -3*s - 4*f = a, 2*s + 2*f = -2*f - 18 for s.
-1
Let u be 1/((1/1)/5). Let q(d) = 3 - 3*d + 2*d + 8. Let c be q(u). Solve -z + 2*s = 5, 5*z = 4*s - c - 1 for z.
1
Let n(h) be the third derivative of h**5/60 - h**4/3 + 3*h**3/2 + 6*h**2. Let c be n(7). Suppose c*b + 3*b = 15. Solve 2*l + 2 = g + g, g - 1 = b*l for l.
0
Suppose -2*u = j - 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
(-14)) and g.
180
Let t be ((-4)/(-2))/(-8) - 1431/(-108). Let m = 29 - t. Calculate the lowest common multiple of (-2)/(-1*2/22) and m.
176
Let m(x) = 2*x + 36. Let z be m(-26). What is the lowest common multiple of 9 and 0*(-4)/z + 4?
36
Calculate the least common multiple of 10554 and 2*2/38 - 8*(-151)/76.
84432
Let f = -21/389897 - -11733817/7924266628. Find the common denominator of 143/12 and f.
60972
Let b be ((-3)/27*3)/((-1)/3). Suppose -1 = -2*t + b, 2*t = 4*f - 6. What is the smallest common multiple of 64 and f?
64
Let y = 1554 + -7734/5. Let i = -282573/5 - -282544/5. What is the common denominator of i and y?
5
Suppose 2*q - 7 = 2*v + 3*q, -3*q - 9 = 0. Let n(l) = -l**3 + 4*l + 4. Let p = 23/62 + 1079/434. Find the common denominator of n(v) and p.
7
Suppose -2*h = 4, h - 43 = 2*l - 5*l. Suppose o - 102 = l. Let x = o + -115. Calculate the smallest common multiple of 5 and x.
10
Suppose 0 = 99*u - 106*u + 4410. Calculate the least common multiple of 630 and u.
630
Let i = 131/30 + 2/15. Let c = -1224308/30155 + 3/6031. Let a = -1649/40 - c. What is the common denominator of a and i?
8
Find the common denominator of -89/8 and (-30)/(-195)*-13 + (-2343)/(-1220).
2440
Let j = -17210 + 17738. Calculate the least common multiple of 8 and j.
528
Suppose -x - t + 98 = -6*t, -4*x + 4*t = -360. Let z = 124 - x. Let u = z - 25. What is the lowest common multiple of u and 8?
88
Suppose -28*q = -24*q - 20. Suppose -q*l = 5*g - 55, 2*g - l + 5 - 18 = 0. What is the least common multiple of 26 and g?
104
What is the common denominator of 7/(-1652)*(3/3 + (-25)/(-3)) and -3/8?
1416
Let w(d) = -152*d**3 - 2*d**2 - 2*d. Let k be w(-3). Let o = k - 131027/32. What is the common denominator of -7 - ((-14)/(-56))/(4/(-177)) and o?
32
Let g = -1378205/56559132 + -2/224441. Find the common denominator of g and -79/70.
8820
Suppose 16*q + 20 = 11*q. Let l(g) = -5*g - 5. Let n be l(q). What is the common denominator of (-29)/(-18) - (n - 20) and 121/12?
36
Let j = -42457/140220 + 13/1558. What is the common denominator of j and -187/60?
180
Suppose 22*f - 44 = 23*f. Let y = f - -49. Suppose 0 = -4*d + w + 187, 0*w + 235 = y*d - w. What is the common denominator of d and -67/2?
2
Let x = 4/1887 + 66013/15096. Find the common denominator of x and -103/1298.
5192
Let w be ((-1)/2)/(-6 + (-115)/(-20)). Let u be (w + -259)/(-9 + 8). Let z = 6157/24 - u. Calculate the common denominator of -7/5 and z.
120
Suppose -14*a - 1409 = -17*a + x, a - 4*x = 488. Calculate the lowest common multiple of 1170 and a.
2340
Let u = 564 - 555. Suppose u*m = 28*m - 1235. Calculate the smallest common multiple of 52 and m.
260
Suppose 8*v = 5295 + 1201. Calculate the common denominator of (((-12)/(-32))/(-1))/((-35)/v) and -39/20.
20
Let o = -32475443/470084610 + 3/377578. What is the common denominator of o and -29/18?
7470
Let t(v) = 6*v**2 + 53*v + 3. Let a be t(-13). Suppose 10*s - 72 = a. What is the least common multiple of 40 and s?
40
Let d(h) = -2*h**3 - 31*h**2 - 29*h + 2. Let i(o) = -o**2 + o + 38. Suppose 4*p = x, x - 2*p = -p. What is the smallest common multiple of d(-1) and i(x)?
38
Let j = 48 - 30. Let q = -193 + 207. Calculate the least common multiple of j and q.
126
Let g = 3932 - 3652. What is the lowest common multiple of g and 120?
840
What is the common denominator of -5/12 and 0 + 6 - 2945/1710?
36
Let j(p) = 2*p**2 - 51*p + 644. Calculate the smallest common multiple of 32 and j(16).
2720
Let n = -184963/2 + 96180657/1040. Find the common denominator of n and -11/312.
3120
Let o = -9563/18 - -527. Calculate the common denominator of 121/12 and o.
36
Let o = -4426813/6045 + 9520/13. What is the common denominator of o and -79/1240?
3720
Let f = 1206489/212 - 5691. Find the common denominator of -21/106 and f.
212
Suppose -28 = 4*v, -47*r + 44*r + 111 = -3*v. What is the lowest common multiple of 4200 and r?
4200
Let n = -1999 + 2001. Let g be ((-26)/(-6) - 1)*3. Let v = -4 + g. Calculate the least common multiple of v and n.
6
Let k = 2595317002 + -809738110963/312. Let g = k - 15269/6. What is the common denominator of 2/39 and g?
312
Let q(k) = 42*k**2 + 23*k - 26. Let b be q(-13). Let u be b/(-26)*(-1166)/26. Let w = -11684 + u. Find the common denominator of -61/2 and w.
26
Let r = 128 + -218. Let f be (-123)/(-1554)*r/(-8). Let d = f - 4/259. What is the common denominator of -53/10 and d?
40
Let t = 427 + -514. Let p = -81 - t. Calculate the least common multiple of 252 and p.
252
Suppose -4073 = 4*i + 4*u - 16197, 0 = -5*u + 25. Let s = i - 45373/15. Find the common denominator of s and -19/54.
270
Suppose -33*h = -489 - 10203. What is the smallest common multiple of h and 2970?
17820
Let c(k) = k**3 - 20*k**2 + 43*k - 98. What is the least common multiple of 39 and c(18)?
1092
Suppose 0 = -7*w - 0*w + 70. Let f(y) = -5*y + 8. Let h(b) = b**2 + 11*b - 126. Let q be h(-18). What is the lowest common multiple of w and f(q)?
40
Find the common denominator of (1256/(-360) - (-8)/(-20))*40/300 and -109/7482.
67338
Let k = 1714 + -27499/16. Calculate the common denominator of k and (-330)/(-280) + -1 + 1.
112
Let r = 20415 - 40771/2. What is the common denominator of 51/90*2/8 and r?
120
What is the smallest common multiple of 6 and 4/(20/(-152)*(-1 - (-42)/90))?
114
Find the common denominator of (-2 - 955/(-50))*3/(-9) and (-296)/50*10/(-12).
30
What is the least common multiple
|
{
"pile_set_name": "DM Mathematics"
}
|
e smallest value in w, -0.2, u, 0.07?
u
Let b = 7.455 - 3.455. What is the second biggest value in b, 4/1231, -5?
4/1231
Let f = 398483 + -398485. Let y = 4 + -3.85. Which is the second smallest value? (a) 2 (b) f (c) y
c
Let y = -8 - -5. Let g = 7966 + -7960. Which is the biggest value? (a) g (b) y (c) -4
a
Let h = 471 + -315. Let t = -158.76 + h. Let r = t + 0.76. Which is the smallest value? (a) 0.07 (b) -1/2 (c) r
c
Let v = -19/10 + 2. Let w = -18636 - -18637. What is the third smallest value in 1/4, v, w?
w
Let b = 431 + -429.19. Let m = 5.81 - b. Suppose -2*y - 14 = 4*o, 4*o - 2*y = -3 - 7. What is the smallest value in m, o, 1/5?
o
Let x be 174/(-435) + (-16)/10. Let n be (4/(-4) + 2)/(-7 - x). Let k = 88/21 + -13/3. Which is the biggest value? (a) n (b) k (c) -18
b
Let x = -5317 - -5312.8. What is the fifth smallest value in -2, -1/4, -6, x, 5?
5
Let t = 157/188 - 659/564. Which is the fourth biggest value? (a) -4 (b) 1 (c) -0.46 (d) t
a
Let t = -5954 - -5954.01. What is the third smallest value in 0.5, -0.2, 1/5, t?
1/5
Let h = 0 - -0.05. Let u = 201.85 + -202. Let i = u + h. Which is the biggest value? (a) i (b) -5 (c) -1/8
a
Let m = 1567 + -799. Let n = m - 767.5. Which is the third smallest value? (a) -3 (b) 3/91 (c) n
c
Let r = -2.6359 + 0.6359. Which is the third smallest value? (a) 62 (b) -3 (c) -0.3 (d) 2/3 (e) r
c
Let y(k) = 2*k**3 + 51*k**2 + 28*k + 70. Let u be y(-25). Let l = -34.02 - -34. Let z = -6 - -5.7. What is the second smallest value in z, u, l?
z
Let r = 44 - 43.5. Let h = 0.308 - 1.008. Let w = -0.2 - 0.1. Which is the second biggest value? (a) h (b) w (c) r
b
Let y = -822/13 + 4084/65. What is the third biggest value in y, 53, 4?
y
Let p = 3026 + -3021.853. Let g = -4.3 + p. What is the third smallest value in g, -1/7, 2?
2
Let f = 40546 + -121642/3. Let s be (-2)/6*(-12)/32. Which is the second biggest value? (a) 36/7 (b) f (c) s
c
Let m = -34902/5 - -6981. Which is the third biggest value? (a) 162 (b) m (c) -2 (d) 2/3
b
Let j = -2040 - -2038. What is the fifth smallest value in 1/6, j, 13, 5, 3?
13
Let l be (-30)/(-45) + 2 + (-16)/6. Let x = -8.8 - -8.4. Which is the third smallest value? (a) x (b) l (c) 2
c
Let q = -32.019 + 0.019. Let y = q - -79. Let h = 48 - y. Which is the smallest value? (a) -0.5 (b) h (c) 0.2
a
Let t be (-6)/4*(-280)/15. Let x be 8/t - (-8)/21. Let i = 78 - 78.08. Which is the second smallest value? (a) x (b) i (c) 0.3
c
Let d = -3.9096 - 0.0904. Suppose -3*f + 20 = 2*g - 0*g, -3*g - 5*f + 32 = 0. Let x = 2 + -3. What is the biggest value in x, d, g?
g
Suppose i + 21*m = 17*m - 13, 2*i + 12 = -m. Let c(z) = -z**3 - z**2 + 8*z + 4. Let l be c(-3). What is the smallest value in i, 0.4, 0.1, l?
i
Let z be 1016/5 + 42/(-35). What is the third biggest value in 1, -3, -2/3, z?
-2/3
Suppose -89*z = -94*z + 4*r - 12, 5*r - 15 = 3*z. Which is the second biggest value? (a) -3 (b) -2 (c) -1 (d) z (e) -39
c
Let t = 1730 + -1732. Let f(w) = w**2 - 2*w - 7. Let s be f(-6). What is the third biggest value in t, 5, s?
t
Let i = 11 + -6. Let n = 4399 - 4399.5. Let k = -16 - -15. Which is the second biggest value? (a) n (b) i (c) k
a
Let g = 63934/5 + -12786. Which is the fourth biggest value? (a) 2/23 (b) -1/6 (c) g (d) -2/11 (e) -78
d
Let h = 127 + -128. Let j be ((-76)/95)/(h/(-5)). What is the third smallest value in 10/11, j, -2/17?
10/11
Let w be ((-3)/(-1))/1 - 752/(-16). Let j be 18/(-12)*w/(-3). Suppose 3*r - 3*s = 18, 0*s - j = 5*s. What is the third smallest value in 2, -1/11, r, 0.2?
r
Let m = -308 + 7698/25. Let g = -4.05197 - -0.05197. Which is the biggest value? (a) m (b) 6 (c) -1/3 (d) g
b
Let v = -29.32 - -29.32. Let f = 1 - 0.6. Let g be (-1 - (-11)/10)*(-25)/(-15). Which is the second biggest value? (a) f (b) v (c) g
c
Let r = 411.4 + -411.3. Let l = -2 - -4. Which is the smallest value? (a) 0.5 (b) -0.3 (c) r (d) l
b
Let v = 43 - 46.6. Let i = -10.6 - v. Let g = i + 8. What is the biggest value in -4, g, 4?
4
Let d be (-894)/(-450) + 2 + -4. Let t = d + -8/25. Let b be -4 + 6/7 + 4. What is the third smallest value in b, t, 1?
1
Let d = -0.6624 + -1.3376. Let g be (-10)/4*(-3)/(-15). Let k = -0.3 + 4.3. What is the second biggest value in -0.07, d, g, k?
-0.07
Let z be -5 + 242/18 - 8. Let m(l) = -2*l**2 - l - 2. Let a be m(2). Let x be a/4 + 36/14. What is the third biggest value in z, -0.
|
{
"pile_set_name": "DM Mathematics"
}
|
third smallest value in f, i, g?
f
Let u = 6 + -5. Let i be (4 + -3)*u/(-2). Let h = -221/14 + 31/2. Which is the smallest value? (a) i (b) -3/5 (c) h
b
Let c be 236/(-4)*(-1)/(-280). Let p = c - 3/40. Let f = -0.6 - -0.3. What is the second smallest value in f, p, -0.2?
p
Let v = 14 + -10. Which is the smallest value? (a) 1 (b) 0 (c) v
b
Let p = 41/18 + -5/2. Suppose 7*w - 2*w - 20 = 0. Let z be w/(-6)*(-3)/(-11). Which is the second smallest value? (a) p (b) 0.5 (c) z
c
Suppose 5*p - 14 = -4. Let i be ((-1)/p)/(2/4). Suppose 5*t - 20 = -0*t - 4*w, -20 = -5*t - 5*w. Which is the biggest value? (a) 5 (b) i (c) t
a
Let x = -62 - -62.61. Let y = x + -0.21. Let g = -137/12 + 43/4. Which is the second smallest value? (a) g (b) 0.3 (c) y
b
Let p = 299/5 + -60. Let a = 17 - 16.7. What is the smallest value in a, p, 3?
p
Let j(i) = i**2 - 5*i + 4. Let z = 2 + 3. Let r be j(z). Let f be (r/(-21))/((-2)/3). What is the smallest value in 1/11, -5, f?
-5
Suppose 2*n = 1 + 11. Let t be (-20)/135*n/(-4). What is the second biggest value in 1, t, 0.4?
0.4
Let y be (-4)/(-14) - (-64)/(-126). Suppose 0 = -5*m + 10 - 5. What is the third smallest value in y, 5, m?
5
Let f(p) = -p**3 - 3*p**2 - 2*p + 2. Let j be f(-2). Suppose -7*q = -2*v - 2*q - 15, -3*v - j*q - 13 = 0. What is the biggest value in 1/11, v, -2?
1/11
Let q = -39 + 38.8. Let n = -0.1 + 0.2. Let w = q - n. What is the third biggest value in -1, -0.1, w?
-1
Let t = 0 - -0.5. Let r = t + -0.9. Suppose 0*y - y + 4*l - 17 = 0, 3*y = -3*l + 9. Which is the third biggest value? (a) 0 (b) y (c) r
b
Let g = 3 - 6. Let r = g + 3.2. Let k = -7 - -7.5. Which is the third smallest value? (a) r (b) -4 (c) k
c
Let l = 1.2 - 1. Let k = -5.05 + 0.05. Let f = -0.4 - -0.4. Which is the second smallest value? (a) k (b) f (c) l
b
Let n = 8.4 + -1.4. Let s = 11 - n. Let j = -1 - -1.06. What is the smallest value in s, 1/2, j?
j
Suppose 0 = -4*c + c - p + 65, 0 = 2*c - 2*p - 30. Let q be ((-6)/195)/((-4)/c). What is the second biggest value in q, -7, 0.1?
0.1
Let m = -39 - -35. Which is the second smallest value? (a) 0.4 (b) m (c) 1/7
c
Let f be (-156)/(-91)*14/4. What is the second biggest value in -3, f, -5?
-3
Let y = -0.08 - -1.08. Which is the second biggest value? (a) -0.4 (b) -3 (c) y
a
Let u(y) = y**2 - 4*y - 1. Let m be u(5). Suppose 2*g + m = 3*g. Suppose -i - 15 = 4*i. Which is the biggest value? (a) i (b) g (c) 0.5
b
Let k = -53.98 + 54. What is the third biggest value in 3/5, k, 1?
k
Let j be 2/(-6)*(-9)/21. Let y = -5.29 - -0.24. Let v = -0.05 - y. Which is the second smallest value? (a) v (b) -3/7 (c) j
c
Let b = -34 - -38. Let m be (0 + 2)*1*-2. What is the third biggest value in b, 2, m?
m
Suppose 25 = k + 5*u, 4 = 4*k + 2*u - 6. Which is the biggest value? (a) -5 (b) 3/7 (c) k
b
Let r = 21 + -33. Let y = 17 + r. Which is the second biggest value? (a) -3 (b) -0.5 (c) y
b
Suppose 6 = -5*g - 4. Which is the second smallest value? (a) 1 (b) 0 (c) g
b
Let t = -21.036 - -0.036. Let q = t + 21.5. Which is the second smallest value? (a) q (b) 2/7 (c) -2
b
Suppose 9 = -4*k + 1. Let v = 0.34 + -0.24. What is the second smallest value in k, 1, v?
v
Let v = -0.5 - -0.5. Let b = 132/13 + -10. What is the second biggest value in v, -4, b?
v
Let p(j) = j**3 + 2*j**2 - 3*j + 3. Let x be p(-3). Let m(v) = 2*v - x*v + v + 7 + v. Let r be m(-11). What is the second smallest value in r, -1, -1/2?
-1
Let v(j) = -10*j. Let x be v(-2). Suppose -7*q = -3*q - x. Let l = -0.7 + -2.3. What is the biggest value in 1, q, l?
q
Let h = 0.1 + -0.2. Let w = h - -1.1. Let m be ((-19)/114)/(2/4). Which is the biggest value? (a) -0.5 (b) w (c) m
b
Let r = 0.4 + 0. Let h = 43.1 - 43. What is the third smallest value in r, 7, h?
7
Let j(x) = -x**3 + 6*x**2 + 8*x. Let v be j(7). Which is the second smallest value? (a) -0.3 (b) v (c) 0.4 (d) -1/6
d
Let o = -2 + 5. Let w = -7 + 6.6. Which is the second smallest value? (a) o (b) 5 (c) w
a
Let w = -57.8 - -58. Let j = -3.8 + 5. Let p = j + -0.2. What is the second biggest value in -2/3, w, p?
w
Let j(k) = k**3 - 4*k**2 + k + 5. Let n be j(4). Suppose n = -4*g - 3, 2*s + g + 9 = 0. Which is the second biggest value? (a) 0.2 (b) -3/5 (c) s
b
Let w = -28.9 - -25. Let u = -1.1 + w. What is the third biggest value in -2/3, u, -2/5?
u
Let w = 72 - 1221/17. Let l = w + 5/68. Let b(n)
|
{
"pile_set_name": "DM Mathematics"
}
|
*a(r) + 16*w(r). Determine f(o(j)).
24*j**2 - 1
Suppose -5*u + 3*r = -82, r = -3*u + 5*r + 58. Let p(d) = 4*d + 14 - u. Let k(s) be the second derivative of s**3/2 - 7*s. Calculate k(p(c)).
12*c
Let k(h) = 43 - 89 - 8*h**2 + 46. Let y(q) be the third derivative of -q**7/1260 + q**4/24 - q**2. Let p(u) be the second derivative of y(u). What is p(k(o))?
-128*o**4
Let v(r) = 4*r + 5. Let b(h) = -5*h - 6. Let w(j) = -5*b(j) - 6*v(j). Let a = 10 - 7. Let t(f) = f - a*f + 2*f - 5*f. Give t(w(o)).
-5*o
Let w(x) be the third derivative of x**5/30 - 3315*x**2. Let s(r) be the first derivative of 32*r**2 + 1. What is w(s(k))?
8192*k**2
Let i(r) = -2*r**2. Let t be ((-4)/10)/(2/(-10)). Let f(o) = -6*o**3 - 7*o**2 - 3*o + 3. Let v be f(-2). Let w(y) = v - 29 - 12*y**t. Give i(w(g)).
-288*g**4
Let b(a) be the first derivative of 5*a**3/3 - 130. Let p(g) = -2*g. Let w(y) = y. Let n(s) = -p(s) - 3*w(s). What is b(n(l))?
5*l**2
Let n(i) = 8*i. Let m(s) = 7*s - 11 + 11. Let q(c) = 6*m(c) - 5*n(c). Let r(b) = 11*b + 10165 - 10165. Give q(r(o)).
22*o
Let i(r) = 5*r - 21. Let n(b) = -138*b**2 - 131*b**2 + 401*b**2 - 130*b**2. Calculate n(i(q)).
50*q**2 - 420*q + 882
Let l(m) be the second derivative of -m**3/3 + 8*m - 2. Let d(i) = -15*i**2 - 2. Give l(d(v)).
30*v**2 + 4
Let s(u) = -13*u + 3. Let y(h) = -12*h + 4. Let g(j) = -4*s(j) + 3*y(j). Suppose -4*p + 6 + 2 = 0. Let n(z) = -p*z - 2*z + 2*z + 0*z. Give g(n(v)).
-32*v
Let y(r) = 5*r**2. Let o(k) = -k**2 - k. Let x(m) be the third derivative of m**5/60 - m**4/6 + 18*m**2. Let i(s) = 4*o(s) - x(s). Determine y(i(p)).
125*p**4
Let i(o) be the third derivative of o**5/60 + 2*o**2 - 2. Let t(q) = 21*q. Determine i(t(b)).
441*b**2
Let h(y) = 2*y. Let w be 1122/153 - (1 + 6). Let c(x) be the second derivative of w*x**3 + 7*x + 0 + 0*x**2. Determine h(c(t)).
4*t
Let z(p) = p. Let q(x) = -2*x + 1. Let y(b) = -353*b + 4. Let o(v) = 2*q(v) - y(v). Give z(o(w)).
349*w - 2
Let w(s) = 25*s. Let g(j) = 3*j**2 + 10*j. Let k(f) = -f**2 - 4*f. Let q(i) = -2*g(i) - 5*k(i). Calculate w(q(t)).
-25*t**2
Let v(x) = 3*x - 5*x + 3*x. Let g(s) be the second derivative of 17*s**3/6 - 19*s - 5. Give g(v(w)).
17*w
Let f(s) = -40*s + 12*s + 34*s. Let o(j) = j**2 - 24. Determine o(f(d)).
36*d**2 - 24
Let k(q) be the second derivative of -q**4/12 - 25*q. Let g(y) be the third derivative of y**5/20 + y**2. Give k(g(x)).
-9*x**4
Let b(s) = -17*s. Let t(l) be the third derivative of 20*l**2 + 0 - 1/6*l**4 + 0*l + 0*l**3. Give t(b(c)).
68*c
Let r(c) = c**3 + 0 - 4*c**2 - 1 - 1 + 5*c. Let m be r(3). Let q(n) = 4*n + m*n**2 - 3*n**2 - 4*n. Let o(k) = -k**2. What is q(o(b))?
b**4
Let d(o) = 2*o**2 - 7*o**2 + 4*o**2. Let n(l) = 1. Let k be 3/2*(-52)/(-39). Let t(p) = p + 9. Let h(j) = k*t(j) - 18*n(j). What is h(d(w))?
-2*w**2
Let r(w) = 531*w**2. Let q(d) = -9*d**2. Give q(r(u)).
-2537649*u**4
Let w(i) = -25*i**2. Let d(y) = 827*y - 2. Calculate d(w(o)).
-20675*o**2 - 2
Let f(r) = -252553*r. Let w(h) = 6*h. What is w(f(v))?
-1515318*v
Let y(g) = 5*g**2. Let a(n) = -13*n - 12. Let q(f) = -272*f - 256. Let r(u) = 64*a(u) - 3*q(u). Determine y(r(l)).
1280*l**2
Let t(d) = -4247*d. Let v(b) = 3*b**2 + 6*b. What is t(v(u))?
-12741*u**2 - 25482*u
Let c = 91 - 90. Let h(g) = -g**2 + g + 1. Let z(j) = -12*j**2 - j - 1. Let o(y) = c*z(y) + h(y). Let m(t) = -t. What is o(m(u))?
-13*u**2
Let m(c) = -2*c. Let d(n) be the first derivative of -5/6*n**4 + 0*n**2 + 0*n**3 - n - 4. Let u(v) be the first derivative of d(v). Give u(m(o)).
-40*o**2
Let y(d) = -41*d + 16. Let i(m) = -20*m + 8. Let n(f) = 7*i(f) - 3*y(f). Let o(l) = 11*l - 5. Let q(w) = 5*n(w) + 8*o(w). Let r(s) = 3*s. What is r(q(x))?
9*x
Let p(d) = 17*d**2 - 3. Let f = -106 - -97. Let m(y) = 8*y**2 - 1. Let i(t) = f*m(t) + 4*p(t). Let s(u) =
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -10*r + 20 = -w*r. Solve 0 = r*y - 0*y - b for y.
3
Let n(y) = 2*y**2 + 207*y + 1185. Let v be n(-6). Solve v*g = -41*g for g.
0
Let b(t) = -2*t**3 - 5*t**2 + 9*t - 5. Let g be b(7). Let p = -869 - g. Solve p*d - 86 + 66 = 0 for d.
5
Let k = -16059 + 16065. Solve -k*v - 341 = -377 for v.
6
Let u be 3/(-9)*(3/1 - 18). Suppose -5*x = 3*o - 563, x = 3*x - u*o - 219. Suppose 0 = 2*h + x - 126. Solve -h = -4*t - 3 for t.
1
Let o be -1*((-6)/(-4))/(4631/(-770) - -6). Solve 0 = 12*r + 23*r - o for r.
3
Let r = 3086 - 3072. Solve 36 = r*i - 34 for i.
5
Let y(l) = 252*l - 991. Let w be y(4). Solve -w*h + 12 = -21*h for h.
-3
Let y(t) = 28 + 138 + 5*t + 7 - 11. Let h be y(-32). Solve 18 = h*b - 8*b for b.
-3
Let w = -58 - -76. Let i be 8 - 0 - w/9. Solve -i*j + 11*j = -25 for j.
-5
Suppose -4*z = 2*c - 638, -3*c = 22*z - 18*z - 951. Let l = c + -308. Solve 13 - 3 = l*i for i.
2
Let q(b) be the second derivative of b**4/12 + 2*b**3/3 - 27*b. Let o be q(-4). Suppose o = -0*c + 9*c - 9. Solve -c = -2*w - 11 for w.
-5
Suppose s = -2*s + 3*y + 24, -3*y - 19 = -2*s. Suppose 0 = 5*q + 2*c - 20, -s*q - 5*c + 0*c + 20 = 0. Solve -q*z = z + 10 for z.
-2
Let y = 8 + 0. Suppose 127*n - 106*n = -19509. Let t = 930 + n. Solve -7*p - t = -y*p for p.
1
Suppose 142 = -65407*u + 65400*u + 513. Solve 115 = u*v - 97 for v.
4
Suppose -58*t = 35*t - 16*t. Solve t = -8*z - 371 + 355 for z.
-2
Suppose 182*b - 179*b = -2*c + 4, 2*b - c - 5 = 0. Let w(a) = -a**2 + 5*a + 5. Let q be w(10). Let p be (-10)/(-4)*(-36)/q. Solve b = -o - p for o.
-4
Let v = 1483 + -1456. Solve v*n - 186 = -4*n for n.
6
Let z be 4*2/(9 - (1 + 4))*7. Let b be (2 + 0 - 3)*-11. Solve b*i = z*i for i.
0
Suppose -332 = -937*j + 936*j - q, -14 = -2*q. Solve 331*g + 42 = j*g for g.
-7
Suppose -21 = -4*q - b, 18 = 2*q + 73*b - 71*b. Solve 32*t + q = 28*t for t.
-1
Let x(f) = 5*f + 162. Let b be x(0). Suppose -7*l - b = 286. Let g = 72 + l. Solve -2*s = -4*s - g for s.
-4
Let h(t) = -9 - 18 - 22 + 4*t + 65. Let n be h(-2). Solve -n + 4 = 4*s for s.
-1
Let h(f) = -66*f + 135. Let g be h(2). Solve 11 = -7*b - g for b.
-2
Let l be (-1 + (-16)/(-12))/((-2)/(-1242)). Let q = -201 + l. Solve -2*g - q - 2 = 0 for g.
-4
Suppose 5*l + 4*i - 3 = -18, -4*l + 2*i = -14. Let k be 0 + (6/2 - -38). Suppose -4*f - 2*b = -f - 2, 0 = 4*f - 5*b - k. Solve f*t + 3 = -l for t.
-1
Let l be (-14)/2 + (-1 - 1) + 5. Let b be l*(-3)/18 - (-117)/27. Solve 2*c + 3*c = b for c.
1
Suppose 43*n - 1218 = 691 - 447. Solve n = -19*i - 23 for i.
-3
Suppose 0 = -5*g - 5*i - 238 + 228, -10 = -3*g + i. Let t(k) = k**2 - 9*k - 5. Let v be t(10). Solve 3*l + v = g for l.
-1
Let n(z) = z**3 - 14*z**2 - 16*z + 24. Let j be n(15). Suppose -j*h = 1 - 136. Solve -4*c + h = -c for c.
5
Let s(y) = y**3 + 0*y**3 - 421*y + 3*y**2 + 2 + 416*y. Let l be s(-4). Solve -4*u - l = -u for u.
-2
Let f(z) = -z + 133. Let u be f(14). Let h = 128 - u. Solve -h - 11 = -5*t for t.
4
Let r = -7 - -7. Let k = 3987 + -3979. Solve 32 = k*t - r for t.
4
Let h = -16855 - -16870. Solve -h*s = -8*s - 21 for s.
3
Suppose 0 = 158*j + 22*j - 10800. Solve 10*g = j*g for g.
0
Let q(l) = 5*l - 30. Let c be q(7). Let u(b) = 0*b**3 + 0*b**2 - 5*b**3 - c*b**2 + 4*b**3. Let x be u(-5). Solve s + 0*s = x for s.
0
Let l(z) = -z + 3. Let a(s) = -s + 3. Let u(f) = -5*a(f) + 6*l(f). Let k be u(0). Let o = 157 - 152. Solve 4*c - k = o*c for c.
-3
Let r be (78/39 - (-14)/(-4))*176/(-6). Solve 0 = -12*i + 34*i + r for i.
-2
Let t = 50 - 119. Let b = 74 + t. Let d(x) = -x + 4. Let f be d(0). Solve 3 + b = -f*v for v.
-2
Let r(t) = t**2 + 85*t - 756. Let i be r(-94). Solve -106*q + i*q - 64 = 0 for q.
-4
Let n(l) = l**2 - 3*l - 1. Let k be n(4). Let m = -2510 + 2512. Solve -m*h + k*h = -2 for h.
-2
Suppose 2*j - 2*u + 2 - 4 = 0, 2*u - 10 = -2*j. Suppose -4*r + 10 + 11 = 3*t, j*t + 3*r = 21. Let l = 10 - t. Solve -4*q = -l - 13 for q.
4
Suppose 2*d - 5*s + 35 = 5*d, -s = 3*d - 19. Let w be (32/56)/((-6)/(-21)). Suppose 3*k + 6 = -b, -d*k - 8 - w = b. Solve 3*l - 6 = -b*l for l.
2
Suppose 199*s - 80
|
{
"pile_set_name": "DM Mathematics"
}
|
- 3*r**3 + 3*r**3 + 2*r**4.
-52*r**4
Expand (5*z - 4*z + z)*(3*z + 2*z - 4*z)*(z**3 + 0*z**3 + 0*z**3).
2*z**5
Expand (0*h - h - h)*(-h**2 + 4*h**2 - h**2) - 1 + 1 - 2*h**3 + h**3 + 0 + 0 - 2*h**2 + 3*h**3 - 3*h - 3*h**3 + h**3.
-4*h**3 - 2*h**2 - 3*h
Expand (0*f - 4*f + 0*f)*(-3*f - 26*f - 3*f).
128*f**2
Expand (-f**3 + 0 + 0)*(3 + f**2 - 3) + (-6*f**2 + 3*f**2 + 2*f**2)*(17 + 5*f**3 - 17).
-6*f**5
Expand (3*k**3 - 2 + 2)*(k - k + k) - 2*k**4 - k**3 + k**3 - k**4 - k**4 + 7*k**4 - 3*k**4 + 4*k**4 - 2*k**4 + (3*k**3 + k**3 - 2*k**3)*(-3*k + 3*k + 2*k).
9*k**4
Expand (-k**3 + 2*k**2 - 2*k**2)*(3*k + k - 3*k) - 3*k - 2*k**4 + 3*k + (k**2 - 1 + 1)*(-k**2 - 4*k**2 + 3*k**2).
-5*k**4
Expand (-1 + 1 + 2*t)*(5 - 5 + 3)*(2 - 3 + 5)*(-4 + 14 - 3).
168*t
Expand -2*u**2 + 2*u**2 - 2*u**2 + (u - u - u)*(-1 + 2*u + 0 - 4).
-4*u**2 + 5*u
Expand (3 + 0 - 5)*(1 - 1 + 3*c) + 6*c - 3*c - 4*c.
-7*c
Expand (2*k - 2*k + 2*k)*(0*k**4 - 2*k**4 + k**4) + (0*k**2 + 4*k**2 - 3*k**2)*(-3*k**3 + 3*k**3 - 2*k**3).
-4*k**5
Expand (4 - 2 + 0)*(2*y - 4*y - y) + (2*y - 4*y + y)*(-4 + 3 + 2) + 3 - 6*y - 3.
-13*y
Expand (-4*q - q + 3*q)*(9 - 4 - 6)*(-1 + 1 - 2*q).
-4*q**2
Expand 1 + 2*l**3 + 2*l**3 - l**3 + (-1 - 1 + 4)*(0*l**3 + 0*l**3 + l**3).
5*l**3 + 1
Expand (0 + z**2 + 0)*(70*z - 70*z + 9*z**2).
9*z**4
Expand (0*k**2 + 2*k**2 - 4*k**2)*(8*k**2 - 3*k**3 - 8*k**2).
6*k**5
Expand -19 + 10*u**3 + 19 + (-4 + 3 + 0)*(0*u**3 - 2*u**3 + 0*u**3).
12*u**3
Expand -3*u**5 + u**5 - u**5 + (4*u**3 - 4*u**3 + u**4)*(u - 6*u + 4*u) + (-u - 4*u + 6*u)*(-2*u**4 - u**4 + 4*u**4) + 5*u**5 - u**5 - 2*u**5.
-u**5
Expand (0*l**2 + 0*l**2 + l**2)*(-6*l**2 - 2 + l**2 - 2*l**2).
-7*l**4 - 2*l**2
Expand (-3*o**3 - o**4 + 3*o**3)*(3 - 4 + 3 + (2 - 3 - 1)*(3 - 2 - 2) - 3 - 2 + 4 + 0 + 1 + 1).
-5*o**4
Expand (-10 + 9 - 17 - 4 + 3 + 2 + 0 - 4 + 3 + (-3 + 1 + 0)*(1 + 0 + 1) - 1 + 2 + 1)*(0 - o + 0).
20*o
Expand n**4 - n**4 + 2*n**4 + (3*n**2 - 4*n**2 + 0*n**2)*(-3 - 2*n**2 + 3) - 3*n**4 - n**2 + n**2 + (-n**3 + 0*n**2 + 0*n**2)*(-2*n - n + n).
3*n**4
Expand (32*x + 45*x - 9*x)*(-4 + 6 - 1).
68*x
Expand (12*x + x + 2*x)*(0*x**4 - 3*x**4 + 2*x**4) - 3*x**5 + 4*x**5 + x**5.
-13*x**5
Expand (-3*p**2 + p**2 + 4*p**2)*(3 - 3 - p**3) - p**5 - p**5 + 3*p**5 + (-24 + 24 + 11*p**3)*(4*p - 4*p + p**2).
10*p**5
Expand ((-m + 0*m + 3*m)*(2*m**2 + 2*m**2 - 2*m**2) - 23*m**2 + 4*m**3 + 23*m**2)*(0*m + 3*m - 2*m)*(-2 - 1 - 3).
-48*m**4
Expand (5 + 2 - 4)*(6*m - 2*m - 2*m)*(-3*m - m - 10 + 8).
-24*m**2 - 12*m
Expand (2*n**2 - 3*n - 5 + 3*n)*((-2 + 0 + 4)*(2 - 3 - 1) - 4 - 3 + 5)*(5*n - 2 + 2).
-60*n**3 + 150*n
Expand (-2*h + 0 + 0)*(-3 + 3 + h)*(7 - 2 + 4).
-18*h**2
Expand (-4*m + 5*m - 3*m + 2*m - 2*m - 2*m + (-1 + 1 - 1)*(5*m - m - 2*m) - 2*m - 2*m + 5*m)*(-m - 2*m - m).
20*m**2
Expand (-8*v + v + 3*v)*(-5 - 1 + 7) + 2 - 2 + 2*v.
-2*v
Expand -r**4 - 4*r**3 + 4*r**3 + (1 - 2*r**2 + 4*r**2 + 0*r**2)*(r**2 + r**2 - 3*r**2).
-3*r**4 - r**2
Expand (5*h + h - h)*(-3*h**2 + 2*h**2 - h**2) + 5 - 5 - 3*h**3.
-13*h**3
Expand (-s + s - 3*s**2)*(5 - 6*s - 5).
18*s**3
Expand (-v - 2*v**2 + v)*((1 - 4 + 1)*(2 + v - 2) + v - 3*v - 5*v).
18*v**3
Expand 0*q**5 - 2*q**5 + 3*q**5 + (-2*q**5 - 2*q**3 + 2*q**3)*(0 + 1 - 3) - 8*q**5 + q - q.
-3*q**5
Expand (-p + 5*p - 2*p)*(9 + 18 + 11 - p**3).
-2*p**4 + 76*p
Expand -y**2 + 12*y**3 - 18*y**3 - 3*y**3 + (-5 + 5 - y**2)*(0*y + 2*y - 3*y).
-8*y**3 - y**2
Expand 0*g**4 + 2*g**3 - 5*g**4 + 0*g**4 + (-g**2 + g**2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
600541 a prime number?
False
Is 65209121 composite?
True
Is 3638141 prime?
False
Is 4724831 a prime number?
True
Is 432888859 prime?
False
Is 794669 a composite number?
False
Is 19960739 a composite number?
False
Is 6352343 a composite number?
False
Is 39852733 a composite number?
True
Is 5663689 composite?
False
Is 81738403 composite?
True
Is 14442573 a prime number?
False
Is 1936381 a prime number?
True
Is 5434579 a composite number?
True
Is 15028077 a composite number?
True
Is 10889461 a prime number?
False
Is 153815293 prime?
True
Is 12105271 prime?
True
Is 10720067 a composite number?
True
Is 144767435 composite?
True
Is 9606529 prime?
True
Is 11141639 composite?
True
Is 188107 a composite number?
False
Is 5452327 prime?
True
Is 1167443 a composite number?
False
Is 452048921 composite?
True
Is 86763601 a prime number?
True
Is 1649737 a composite number?
False
Is 15465215 prime?
False
Is 236042971 composite?
True
Is 221721739 composite?
False
Is 4082901 a composite number?
True
Is 146359733 a prime number?
False
Is 140019169 composite?
False
Is 30093443 a composite number?
False
Is 2101439 prime?
True
Is 1754063 prime?
True
Is 26148103 a prime number?
True
Is 1004515 prime?
False
Is 8093299 a composite number?
True
Is 1566995 composite?
True
Is 385171 composite?
False
Is 186923563 a composite number?
False
Is 3416267 a composite number?
False
Is 1203773 a prime number?
True
Is 51688783 prime?
False
Is 219073879 a prime number?
False
Is 66141707 a prime number?
True
Is 259904639 a composite number?
False
Is 23849311 a prime number?
False
Is 1450685 a prime number?
False
Is 1338133 a prime number?
False
Is 6541363 a composite number?
False
Is 577957769 a composite number?
True
Is 18302 a composite number?
True
Is 156684551 prime?
True
Is 3492359 prime?
False
Is 20591257 prime?
False
Is 245668123 composite?
True
Is 15117133 composite?
False
Is 3922967 a composite number?
False
Is 16561033 composite?
False
Is 1291071 prime?
False
Is 1646303 a prime number?
True
Is 8434141 prime?
True
Is 2582311 a prime number?
True
Is 3072647 composite?
True
Is 127165307 a composite number?
False
Is 871861 prime?
False
Is 9513877 prime?
True
Is 35322589 a composite number?
True
Is 1416799 composite?
False
Is 2950279 prime?
False
Is 3184553 prime?
False
Is 7393687 a prime number?
False
Is 14998219 a composite number?
False
Is 8276273 a prime number?
True
Is 33983557 composite?
False
Is 652571 a prime number?
False
Is 16622363 a composite number?
True
Is 74532043 prime?
False
Is 11529493 a composite number?
True
Is 23124401 prime?
False
Is 248972551 a composite number?
False
Is 13238543 prime?
True
Is 89166593 a composite number?
False
Is 205299011 a composite number?
True
Is 5159779 composite?
False
Is 1710131 composite?
False
Is 56242207 prime?
False
Is 9452243 a composite number?
False
Is 15167419 composite?
True
Is 128894627 a prime number?
True
Is 5735719 a prime number?
False
Is 375671 composite?
True
Is 328928091 a prime number?
False
Is 12130973 a composite number?
False
Is 156717283 prime?
True
Is 2431106 composite?
True
Is 66411353 a composite number?
False
Is 75200997 prime?
False
Is 17772143 a prime number?
False
Is 195033 prime?
False
Is 266506 a composite number?
True
Is 9270329 a prime number?
False
Is 791420681 a prime number?
True
Is 63206727 a composite number?
True
Is 41811733 a prime number?
True
Is 1172377 composite?
False
Is 20243057 composite?
True
Is 1581053 a composite number?
False
Is 104841013 prime?
True
Is 3465431 a prime number?
False
Is 709747 a composite number?
True
Is 148156849 a composite number?
False
Is 7802563 composite?
False
Is 10718369 a prime number?
True
Is 82923787 composite?
False
Is 12618803 prime?
True
Is 1193029 prime?
False
Is 132557 composite?
True
Is 66368314 a prime number?
False
Is 3392209 a composite number?
False
Is 33174547 a composite number?
True
Is 8044103 a prime number?
True
Is 3247001 prime?
False
Is 33427519 a composite number?
False
Is 45751723 a prime number?
True
Is 48807937 a composite number?
True
Is 211200593 a prime number?
True
Is 827767 composite?
False
Is 157543871 a composite number?
True
Is 8098549 a prime number?
False
Is 140509 composite?
True
Is 207695557 prime?
True
Is 6631661 composite?
False
Is 88607686 a composite number?
True
Is 100756361 a composite number?
False
Is 56439209 a prime number?
True
Is 4040831 prime?
False
Is 470055947 prime?
False
Is 4192189 a composite number?
False
Is 5559691 a composite number?
False
Is 60412643 prime?
False
Is 4165573 a prime number?
True
Is 209123 a prime number?
True
Is 24503759 a composite number?
True
Is 1102441 prime?
True
Is 5275841 a composite number?
False
Is 10591933 prime?
False
Is 190593449 composite?
False
Is 180425485 a composite number?
True
Is 4558453 prime?
False
Is 30163541 a composite number?
False
Is 309733979 a prime number?
False
Is 993541 a composite number?
False
Is 1062689 a composite number?
True
Is 138051685 composite?
True
Is 242989 composite?
False
Is 170166521 a prime number?
False
Is 5086385 prime?
False
Is 564297871 prime?
True
Is 29038235 composite?
True
Is 7452041 a composite number?
True
Is 174469531 prime?
True
Is 19085114 a composite number?
True
Is 17572813 a prime number?
True
Is 19678457 a prime number?
True
Is 4629707 prime?
True
Is 101057387 prime?
True
Is 3656231 prime?
True
Is 403691 composite?
True
Is 19720781 a prime number?
True
Is 985679 prime?
True
Is 2917133 prime?
False
Is 7590053 composite?
False
Is 45982993 composite?
True
Is 2598763 composite?
True
Is 12433 prime?
True
Is 144349333 a prime number?
True
Is 4326229 prime?
True
Is 171387041 composite?
True
Is 739319227 composite?
True
Is 115745651 a composite number?
True
Is 9421977 composite?
True
Is 31263409 a composite number?
True
Is 80143211 a prime number?
False
Is 12328273 a composite number?
False
Is 150967447 prime?
True
Is 4304191 a composite number?
False
Is 20170607 composite?
False
Is 414401851 a composite number?
True
Is 71112271 composite?
True
Is 484719639 a composite number?
True
Is 18228059 prime?
True
Is 13945189 a composite number?
True
Is 98525213 composite?
False
Is 572317
|
{
"pile_set_name": "DM Mathematics"
}
|
the power of 1/5, to the nearest integer?
12
What is 9817112 to the power of 1/2, to the nearest integer?
3133
What is 1155727 to the power of 1/2, to the nearest integer?
1075
What is the square root of 2336248 to the nearest integer?
1528
What is the seventh root of 41124164 to the nearest integer?
12
What is the tenth root of 48851 to the nearest integer?
3
What is 100589 to the power of 1/3, to the nearest integer?
47
What is 4499403 to the power of 1/6, to the nearest integer?
13
What is the seventh root of 837497 to the nearest integer?
7
What is 697878 to the power of 1/6, to the nearest integer?
9
What is 4825121 to the power of 1/3, to the nearest integer?
169
What is 178102 to the power of 1/2, to the nearest integer?
422
What is the square root of 223472 to the nearest integer?
473
What is the square root of 1454122 to the nearest integer?
1206
What is the third root of 279705 to the nearest integer?
65
What is the square root of 5017220 to the nearest integer?
2240
What is 3837688 to the power of 1/6, to the nearest integer?
13
What is the square root of 471129 to the nearest integer?
686
What is the sixth root of 176453 to the nearest integer?
7
What is the third root of 12377057 to the nearest integer?
231
What is the eighth root of 779329 to the nearest integer?
5
What is the tenth root of 525532 to the nearest integer?
4
What is the sixth root of 399158 to the nearest integer?
9
What is the eighth root of 1453556 to the nearest integer?
6
What is the square root of 978776 to the nearest integer?
989
What is the seventh root of 2252509 to the nearest integer?
8
What is the fourth root of 3414319 to the nearest integer?
43
What is 4924878 to the power of 1/10, to the nearest integer?
5
What is 1788678 to the power of 1/3, to the nearest integer?
121
What is 2412736 to the power of 1/2, to the nearest integer?
1553
What is the ninth root of 954137 to the nearest integer?
5
What is 6632191 to the power of 1/3, to the nearest integer?
188
What is 9726920 to the power of 1/7, to the nearest integer?
10
What is the ninth root of 5086433 to the nearest integer?
6
What is the seventh root of 373445 to the nearest integer?
6
What is the third root of 131529 to the nearest integer?
51
What is 5511526 to the power of 1/2, to the nearest integer?
2348
What is the cube root of 5532978 to the nearest integer?
177
What is 72883 to the power of 1/5, to the nearest integer?
9
What is the third root of 333830 to the nearest integer?
69
What is the third root of 355173 to the nearest integer?
71
What is 1734692 to the power of 1/10, to the nearest integer?
4
What is the tenth root of 112809 to the nearest integer?
3
What is the cube root of 614892 to the nearest integer?
85
What is the cube root of 6513494 to the nearest integer?
187
What is the square root of 43254566 to the nearest integer?
6577
What is the tenth root of 16732130 to the nearest integer?
5
What is the seventh root of 84089 to the nearest integer?
5
What is 6033364 to the power of 1/10, to the nearest integer?
5
What is the sixth root of 314051 to the nearest integer?
8
What is the seventh root of 92088 to the nearest integer?
5
What is the cube root of 3804728 to the nearest integer?
156
What is 8291 to the power of 1/3, to the nearest integer?
20
What is the square root of 152494 to the nearest integer?
391
What is the third root of 7011163 to the nearest integer?
191
What is the third root of 4292786 to the nearest integer?
163
What is 11749131 to the power of 1/2, to the nearest integer?
3428
What is the ninth root of 549042 to the nearest integer?
4
What is 5148431 to the power of 1/2, to the nearest integer?
2269
What is the square root of 10534736 to the nearest integer?
3246
What is 1996063 to the power of 1/3, to the nearest integer?
126
What is the third root of 2495971 to the nearest integer?
136
What is 66275 to the power of 1/4, to the nearest integer?
16
What is 222886 to the power of 1/3, to the nearest integer?
61
What is the cube root of 2716262 to the nearest integer?
140
What is 606232 to the power of 1/7, to the nearest integer?
7
What is the cube root of 260766 to the nearest integer?
64
What is 5777 to the power of 1/3, to the nearest integer?
18
What is 194383 to the power of 1/7, to the nearest integer?
6
What is the seventh root of 85734 to the nearest integer?
5
What is the fifth root of 8362999 to the nearest integer?
24
What is the fifth root of 734171 to the nearest integer?
15
What is the ninth root of 466753 to the nearest integer?
4
What is 3620783 to the power of 1/2, to the nearest integer?
1903
What is the third root of 147104 to the nearest integer?
53
What is the eighth root of 6560970 to the nearest integer?
7
What is the square root of 328497 to the nearest integer?
573
What is the square root of 5560828 to the nearest integer?
2358
What is 1341500 to the power of 1/2, to the nearest integer?
1158
What is the square root of 694141 to the nearest integer?
833
What is 12434848 to the power of 1/2, to the nearest integer?
3526
What is the square root of 270389 to the nearest integer?
520
What is the third root of 928666 to the nearest integer?
98
What is the square root of 1621360 to the nearest integer?
1273
What is the ninth root of 21598731 to the nearest integer?
7
What is the third root of 560955 to the nearest integer?
82
What is the ninth root of 269998 to the nearest integer?
4
What is 1458619 to the power of 1/2, to the nearest integer?
1208
What is the cube root of 219206 to the nearest integer?
60
What is 140949 to the power of 1/3, to the nearest integer?
52
What is 3034052 to the power of 1/2, to the nearest integer?
1742
What is 12103077 to the power of 1/4, to the nearest integer?
59
What is the third root of 9054091 to the nearest integer?
208
What is the sixth root of 14251794 to the nearest integer?
16
What is the third root of 12315962 to the nearest integer?
231
What is the cube root of 243228 to the nearest integer?
62
What is the third root of 465596 to the nearest integer?
78
What is the square root of 474313 to the nearest integer?
689
What is 2795607 to the power of 1/2, to the nearest integer?
1672
What is 13442191 to the power of 1/5, to the nearest integer?
27
What is 214695 to the power of 1/3, to the nearest integer?
60
What is the cube root of 860585 to the nearest integer?
95
What is the fourth root of 185978 to the nearest integer?
21
What is 310290 to the power of 1/6, to the nearest integer?
8
What is the fifth root of 846448 to the nearest integer?
15
What is 13859310 to the power of 1/2, to the nearest integer?
3723
What is 220611 to the power of 1/2, to the nearest integer?
470
What is 51292 to the power of 1/2, to the nearest integer?
226
What is the square root of 290245 to the nearest integer?
539
What is 63864 to the power of 1/3, to the nearest integer?
40
What is the third root of 799592 to the nearest integer?
93
What is the ninth root
|
{
"pile_set_name": "DM Mathematics"
}
|
) = d - 4. Let n be v(4). Which is greater: n or t?
t
Let v = 104 + -201. Which is smaller: v or -487/5?
-487/5
Suppose 0 = 34*d - 17*d - 204. Is d less than 58/5?
False
Let v(z) = -z**2 - 18*z + 145. Let u be v(6). Is u bigger than -3/250?
True
Let x = 4.7 - -2.9. Let b = x + 27.4. Let c = -34 + b. Which is bigger: c or -0.01?
c
Let a = 41 - 36. Suppose 3*h - 4 = -a*p - 49, -p = 5*h + 31. Which is smaller: p or -2?
p
Let a = -21 - -27. Let s be 304/12*9/a. Let z = -36 + s. Are z and -2 non-equal?
True
Suppose -4*j - 16 = i + 3*i, 4*j - 4*i = 8. Let x(p) = -p**2 - 6*p + 16. Let l be x(-8). Let d = j - l. Is -4/5 at most d?
False
Let f(p) be the third derivative of p**5/60 - p**4/6 - p**3 + 21*p**2. Let m be f(5). Is 4/23 greater than m?
True
Let f = 160/87 - -24/29. Suppose 3*p - 8 = -2*r, -r = -2*r - 5. Suppose 0*c - 3*c = -4*q + p, 0 = 5*c - 10. Which is smaller: q or f?
f
Suppose -14*j - 4336 = 2*j. Is j greater than -271?
False
Let r(q) = 2*q**3 - 3*q**2 + 2*q - 149. Let o be r(0). Is -149 smaller than o?
False
Let a be 151004/251790 + 3/(-5). Do -1 and a have different values?
True
Let g be (1/(-4))/((-300)/15). Which is greater: g or -1?
g
Let c be (-6)/12*2/3. Let u be (-18)/48*212/(-6). Let f = -13 + u. Which is smaller: f or c?
c
Let o = -38 + 27. Let f = o + 41. Let l = 18 - f. Which is smaller: l or -11?
l
Let t be 512/3784 + 2/(-11). Which is smaller: -1 or t?
-1
Suppose 0 = -5*c + 4*k + 81, -c + 5*k - 73 = -5*c. Let h = c + -18. Are h and -3/16 equal?
False
Let x = 201 - 200. Which is smaller: 34 or x?
x
Let b = 30/19 - -100/57. Let t = 3 - b. Is t greater than 0.8?
False
Let a(x) = x - 2. Let y be a(2). Let c = -582 - -588. Is c greater than or equal to y?
True
Suppose -2*d + 5*r + 39 - 2 = 0, -2*r = -d + 16. Suppose -d*a = -9*a - 33. Is a < -10?
True
Suppose -j + 60 = 4*z, -4*j + 0 = 2*z - 212. Are j and 52 nonequal?
False
Let g = -36.08 + 0.08. Let w = 22 + g. Let j = -3.32 - -3.42. Is w smaller than j?
True
Let o(d) = 3*d - 12. Let f(j) = -4*j + 13. Let c(m) = 4*f(m) + 5*o(m). Let h be c(-8). Suppose i - 1 + 2 = h. Which is bigger: 3/7 or i?
3/7
Let g(t) = t**2 + 15*t - 33. Let b be g(2). Which is greater: b or -10?
b
Let k(i) = 6*i - 16. Let g be k(-9). Let w = g - -70. Is w <= -2/3?
False
Suppose 6*o + o = 0. Suppose o = -d + 3*c + 2*c - 20, 5*c + 10 = -5*d. Which is smaller: -21/4 or d?
-21/4
Suppose -15*p + 12*p = 168. Which is greater: -57 or p?
p
Let h = 28 - 26.9. Let z = -0.32 - 1.78. Let x = z + h. Which is greater: x or -2/21?
-2/21
Let v = -279 - -97. Is -182 at most v?
True
Let d = 60 - 37. Let v = d - 23. Which is greater: v or -5/7?
v
Let k(l) = -l**3 - 13*l**2 + 30*l + 13. Let d be k(-15). Which is bigger: 21 or d?
21
Let b = 122.1 + -120.1. Which is smaller: 1/77 or b?
1/77
Let r be -4 + (-888)/30*(-1)/5. Which is greater: r or 1?
r
Suppose -b + 0 + 11 = 3*s, 2*s - 6 = 0. Suppose b*v = -0*v. Suppose -3*i - 3*k + 12 = v, 3*k - 7 = 5*i - k. Are -1/3 and i unequal?
True
Let k be (-52)/78*(230 + (-1)/(-1)). Let p = -172 - k. Which is greater: -20 or p?
p
Suppose -4*f + 10 = 10. Suppose f*u + 3*o + 6 = 5*u, 4*u - o = 2. Is u <= -1/7?
False
Let w = 0.078 - -37.922. Let l = w + -73. Does l = 0?
False
Let d be (-3)/(-4 - -1) + 2. Suppose 3*i = h - 32, d*h - 2*i = -0*i + 103. Let t = -50 + h. Is -15 smaller than t?
False
Let u be 2/3 - 3*(-7160)/(-32310). Which is greater: u or -1?
u
Let h = -2/5931 + 610903/29655. Let y = h - 21. Are y and -1 nonequal?
True
Let p be 1 - (-10 - (808 + 4)). Do p and 824 have the same value?
False
Suppose -16351 = 6*f - 89*f. Which is smaller: f or 195?
195
Let r = 4174 - 66755/16. Does r = 3?
False
Suppose 26 = l + 3*y, 0 = 5*l - 2*l - y - 108. Let c = -209/6 + l. Which is smaller: -1/6 or c?
-1/6
Suppose 0 = 5*x + 3*x - 1432. Is x less than or equal to 179?
True
Let v(y) = y - 4. Let w be v(-5). Let j = -9698 - -9691. Is j equal to w?
False
Let g = 25.6 + -26.432. Let k = g - 0.048. Let t = 0.12 - k. Is 2 at most as big as t?
False
Let c be -3*4/(-48)*-4. Let x be (5/45)/((-1)/c). Is x greater than -1?
True
Let u be 9/(-3 + 174)*4/6. Which is smaller: u or 0?
0
Let h = -69 + 107. Let n = 24 - h. Let r = 12 + n. Which is smaller: -0.2 or r?
r
Let i = -506 - -485. Is -14 at least as big as i?
True
Let u = -6 - -5.57. Suppose -4*k - 3*t = -16, 21*k = 18*k + 2*t - 5. Is u at least as big as k?
False
Let o = -6.02 + 0.02. Let p = 6 - 11. Let u = o - p. Does -3/4 = u?
False
Suppose -4*l = 2*j - 2018, 77*l - 74*l = 3*j + 15
|
{
"pile_set_name": "DM Mathematics"
}
|
251 a composite number?
True
Is 1768517627 composite?
False
Is 395086859 composite?
False
Is 382566967 prime?
True
Is 52118262767 prime?
True
Is 422735641 prime?
True
Is 3794508139 a prime number?
False
Is 17184913399 prime?
True
Is 9848752937 a prime number?
False
Is 493534429 a composite number?
True
Is 1533009581 composite?
False
Is 444553309 a prime number?
False
Is 133731260653 a prime number?
False
Is 4813949027 prime?
True
Is 1135141347 composite?
True
Is 3396975773 a prime number?
True
Is 1027470757 a prime number?
False
Is 31298711 composite?
True
Is 168729713 a composite number?
True
Is 5217144109 a composite number?
True
Is 1800190607 prime?
True
Is 297135721 a composite number?
True
Is 1537337603 prime?
True
Is 11058741443 composite?
False
Is 104095797223 a composite number?
True
Is 252485483 composite?
True
Is 172305257 a prime number?
False
Is 75518808611 composite?
False
Is 170281789 a composite number?
False
Is 35412549287 a prime number?
True
Is 261161611 a composite number?
True
Is 2166289453 a composite number?
False
Is 11917897297 composite?
True
Is 474012481 a prime number?
True
Is 40890149 composite?
True
Is 741063823 composite?
True
Is 2383049771 a prime number?
False
Is 33211643 a prime number?
False
Is 38719892711 composite?
False
Is 88378833 composite?
True
Is 66443452793 a prime number?
True
Is 22707673367 a composite number?
False
Is 758502103 a composite number?
False
Is 65896429 prime?
True
Is 1044195023 a prime number?
True
Is 7173460193 composite?
False
Is 2148289693 prime?
False
Is 40555213871 prime?
False
Is 65429366291 a composite number?
True
Is 1739776397 a prime number?
True
Is 2538090601 composite?
False
Is 12934024613 a composite number?
False
Is 1944682543 prime?
False
Is 440255311 prime?
False
Is 2475947141 composite?
False
Is 565032419 a prime number?
False
Is 1019238019 a composite number?
False
Is 5402262319 a prime number?
True
Is 34325269439 a composite number?
True
Is 11632138345 composite?
True
Is 814701161 composite?
False
Is 1608712403 composite?
False
Is 3559789 a composite number?
False
Is 1661413939 a prime number?
False
Is 10632191915 prime?
False
Is 2697557183 prime?
True
Is 62324651521 prime?
False
Is 4565828051 a composite number?
False
Is 4352203433 a prime number?
True
Is 1320806387 composite?
True
Is 2213745167 prime?
False
Is 4815054389 composite?
True
Is 127737004589 a composite number?
True
Is 57964282379 prime?
True
Is 12094813 a prime number?
True
Is 39630498805 a prime number?
False
Is 1631883629 prime?
True
Is 13243459421 a composite number?
False
Is 77785121 a composite number?
False
Is 39258467 a composite number?
False
Is 187269587209 prime?
False
Is 6032511449 prime?
True
Is 61683111641 prime?
True
Is 17592548297 a prime number?
False
Is 17169492371 a composite number?
False
Is 2841984953 a composite number?
True
Is 91943500133 prime?
True
Is 70412051 prime?
True
Is 582126827 composite?
True
Is 604752017 a composite number?
False
Is 36783216143 prime?
True
Is 7746943735 composite?
True
Is 70393442701 a composite number?
True
Is 5194451771 composite?
True
Is 1739677567 a prime number?
False
Is 7542856931 a prime number?
True
Is 20436415841 composite?
False
Is 26983543073 a prime number?
True
Is 586074263 a composite number?
False
Is 22783652893 prime?
True
Is 991104917 a prime number?
False
Is 96780571 a composite number?
False
Is 1297998217 a prime number?
True
Is 1341135143 a prime number?
False
Is 209662823 prime?
True
Is 9099140341 composite?
True
Is 1135616617 a composite number?
True
Is 438055391 a prime number?
True
Is 16079701003 a composite number?
True
Is 51440819 a composite number?
True
Is 603056791 a prime number?
False
Is 120706332073 a prime number?
True
Is 27264982389 prime?
False
Is 103554767747 composite?
True
Is 31087069133 composite?
False
Is 65606623 a prime number?
True
Is 37782151459 a prime number?
False
Is 229734979 composite?
False
Is 24001958611 prime?
True
Is 7745482279 prime?
False
Is 360941869 composite?
False
Is 10964399801 a composite number?
True
Is 89034689 composite?
False
Is 14010401 a composite number?
False
Is 410027159 prime?
True
Is 1454820583 prime?
False
Is 145989439 prime?
False
Is 227569063 a prime number?
False
Is 293199853 a prime number?
False
Is 4319184659 a composite number?
True
Is 1804209943 a prime number?
True
Is 17254240331 a prime number?
True
Is 1494167287 prime?
False
Is 652336079 prime?
False
Is 258345391 prime?
True
Is 932726059 prime?
True
Is 2178478843 composite?
True
Is 8767876213 a composite number?
False
Is 18358805 prime?
False
Is 300250189 a composite number?
False
Is 593221918 a prime number?
False
Is 319465339 a prime number?
True
Is 109504111 a composite number?
False
Is 2629081549 composite?
False
Is 81271153 composite?
False
Is 11176145471 prime?
False
Is 3091111427 prime?
False
Is 212156081 a composite number?
False
Is 17908952539 prime?
False
Is 936208391 a prime number?
False
Is 64145325817 prime?
False
Is 141595585723 a prime number?
False
Is 1859524657 composite?
False
Is 34409915911 a prime number?
False
Is 16000006963 a prime number?
False
Is 24695547397 composite?
False
Is 109443566 a composite number?
True
Is 273929939 composite?
True
Is 147119519 prime?
False
Is 296845879 composite?
True
Is 3551112629 a prime number?
False
Is 7800678121 a composite number?
True
Is 17729464307 prime?
False
Is 1083713767 a composite number?
True
Is 25770132053 a prime number?
False
Is 2631016459 composite?
False
Is 4997143361 composite?
True
Is 3470671121 a prime number?
False
Is 2509284767 prime?
False
Is 71431813291 a prime number?
True
Is 198266209381 prime?
True
Is 23504976895 a prime number?
False
Is 6474017833 a prime number?
True
Is 286577111 composite?
False
Is 9566606347 prime?
False
Is 202309259 a composite number?
True
Is 85844488645 composite?
True
Is 5410044041 prime?
False
Is 51721147 composite?
False
Is 709128737 prime?
False
Is 338818303 prime?
False
Is 1402124291 prime?
False
Is 32895
|
{
"pile_set_name": "DM Mathematics"
}
|
q**4 + 2*q**4 + (-1 + 1 - 3*q**3)*(q + 1 - 1).
3*q**4
Expand (0*o + o - 3*o)*(-5 + 5 + 2*o) + (-3*o + 6*o - o)*(0 + 0 + o) + o**2 + 2*o**2 - 2*o**2 + 1 - 1 - 2*o**2 - 5*o**2 + 3 - 3 - o**2 + 8*o**2 + 5*o**2.
4*o**2
Expand (2*d + 0*d - 6*d)*(1 - 1 - 2*d)*(-64 - 5 + 316 - 10).
1896*d**2
Expand 246*g - 3*g**5 - 229*g**2 + 295*g - 543*g + (-g**2 - 2*g**2 + 5*g**2)*(-3*g**3 + 2*g**3 + 3*g**3).
g**5 - 229*g**2 - 2*g
Expand (-x + 3*x - x)*(9 + 13*x - 9) - 2*x + 2*x - 4*x**2 + (5*x - 4*x + 0*x)*(0*x + 4*x - 5*x) + (0*x - 2*x + x)*(-x + 0 + 0).
9*x**2
Expand -3*a + 3*a - 2*a + (16 + 12 - 10)*(2*a - a - 2*a) + (4*a - 4*a - 2*a)*(1 - 1 - 2).
-16*a
Expand (4*u - 7*u + 2*u + 8)*(0*u + 0*u - 3*u)*(3*u**2 - 10*u**2 + 8*u**2).
3*u**4 - 24*u**3
Expand (-3 + 3 + 2*b)*(-8 + 5*b + 8) + (5*b - 7*b + 12*b)*(2*b + 0*b - 5*b).
-20*b**2
Expand (0 - 2*r**2 + 0)*(3 + 3*r**3 - 3) + (-3*r**4 - 2*r**4 + 3*r**4)*(13*r - 108*r + 175*r).
-166*r**5
Expand (-3*g**3 - g**4 + 14*g**3 - 12*g**3 + 57)*(-2*g - 3 + 3).
2*g**5 + 2*g**4 - 114*g
Expand (187906*h**2 - 187906*h**2 + 56*h**3 + 3*h)*(2*h + 4*h - 4*h).
112*h**4 + 6*h**2
Expand (2*d + 2*d - 8*d + 3*d - 4*d + 4*d + (0 - 2 + 0)*(d - 4*d + 2*d))*(-2*d - 2*d + d).
-3*d**2
Expand (0*r + 2*r - 4*r)*(4*r**3 + 52 + 84 - 38).
-8*r**4 - 196*r
Expand (-11*c - 37*c - 22*c)*(-1 - 2 + 4).
-70*c
Expand (-4*s + 4*s + 2*s)*(-2 + 0 + 1) - s + s - 4*s + ((-1 - s + 1)*(3 - 2 - 2) + 4 + s - 4)*(-2 - 9 + 15).
2*s
Expand (-5 + 3*q + 5)*(116 - 90 - 71).
-135*q
Expand (-2*f + 2*f - f**2)*((0*f - 3*f + 5*f)*(5 - 5 - 2*f**2) - 4*f**3 - 2*f**3 + 5*f**3 - 7*f**3 - f**3 + 2*f**3).
11*f**5
Expand -24*d**5 - 7*d**5 + 7*d**5 + (-d**2 - 4 + 4)*(4*d**3 + 0*d**3 - 2*d**3) + 0*d**3 + 3*d**5 + 0*d**3 - 4 + 3*d**5 + 4.
-20*d**5
Expand (20 + 111 + 17)*(d**3 - 3*d**3 + 0*d**3).
-296*d**3
Expand (47*z**2 + 27*z**3 + 50*z**2 - 96*z**2)*(3 - 1 - 5).
-81*z**3 - 3*z**2
Expand (65 - 34 - 21)*(10*p - p - 2*p).
70*p
Expand (10*w - 10*w - 14*w)*(-7*w**2 + 11*w**2 - 3*w**2) + (-2*w**2 + 2*w**2 + 2*w**3)*(-2 - 3 + 6) + 0*w**3 - 4*w**3 + 3*w**3 - 3*w**3 + 2*w**3 + 3*w**3.
-11*w**3
Expand (-1 + 1 + 1)*(-3*s + 9*s + 0*s)*(51*s - 34*s**2 - 51*s).
-204*s**3
Expand (-5*s**2 + 4*s**2 - 2*s**2)*(8 - 1 - 2) - 9*s**2 + 0*s**2 + 1 + 4*s**2.
-20*s**2 + 1
Expand (-1 + 1 - 1)*(r + 3 - 3) - 13*r - 22 + 14*r + 18*r.
18*r - 22
Expand 2*c + 2*c**3 - 2*c + (-9*c + 10 - 10)*(4*c**2 - 4*c**2 + 2*c**2) + 113*c**2 - 13*c**3 - 113*c**2.
-29*c**3
Expand (11 + 9 - 6)*(-16*m + 16*m + 8*m**5).
112*m**5
Expand -2*k + k**4 + 2*k + (-2*k**2 + 3*k**2 + k**2)*(-k + k - 2*k**2 - 3*k**2 + k**2 + 4*k**2 + (-2*k + 4*k + 0*k)*(0*k - 3*k + k) - 320 + 44*k**2 + 320).
81*k**4
Expand (0 + 1 + 0 - 1 + 6 - 4 - 1 + 1 + 1 - 2 + 0 + 1 - 1 - 1 + 0 + (2 + 0 + 0)*(-2 + 2 - 1) + 3 + 2 - 1 - 13 + 4 - 15)*(-2*h + 3 - 3).
44*h
Expand -32*u + 3*u**4 + 32*u + 6*u**4 - 24*u + 24*u + (-2*u + 3 - 3)*(2*u**3 + 2*u**3 - 3*u**3) + u**4 - 2*u**4 + 3*u**4.
9*u**4
Expand (5*g**3 - 2*g**3 - 4*g**3)*(-2*g - 15*g - 22*g - 2*g) - 6*g**4 + 6*g**4 - 19*g**4.
22*g**4
Expand (-4 + 5 + 0)*(2 + p - 2) + 25 + 262*p + 2390*p - 25 + 5*p - p - 3*p.
2654*p
Expand (109*c - 109*c + 12*c**2)*(9 + 11 - 4).
192*c**2
Expand 10*y**4 + 15*y**4 - 5*y**4 + (0*y**2 - 3*y**2 + y**2)*(-14*y + 14*y - 2*y**2) - y**4 + 0*y**4 + 3*y**4.
26*y**4
Expand (-2*q + q - 3*q + 1 + 2*q - 1 + (-q + 1 - 1)*(1 - 1 + 1) - 2*q - 1 + 1 + q - 1 + 1)*(86 - 86 + 33*q + (-6 + 3 + 2)*(-3*q - 3*q + 5*q)).
-136*q**2
Expand ((-3 + 5 - 3)*(-9*k - 19 + 19)*(k**3 - 6*k + 6*k) + (-5*k**2 + k**
|
{
"pile_set_name": "DM Mathematics"
}
|
45*a**2*l - a**2*q - q wrt a?
-24*a*l*q - 1080*a*l - 12*l*q
Differentiate -114*o*s**2*z + 5*o*s*z**2 - 235*s**2*z**2 + 2*s**2 + 2*s*z**2 with respect to o.
-114*s**2*z + 5*s*z**2
What is the third derivative of 7806*f**5 + 155*f**2 - 8 wrt f?
468360*f**2
Find the third derivative of 8*a**2*d*w**3 - a**2*w**2 + 23*a**2*w + 3*a*d*h*w**3 + a*d*h*w - 2*a*h*w**3 + 3*d*h - d*w wrt w.
48*a**2*d + 18*a*d*h - 12*a*h
Find the second derivative of 10*m*r**3 + 8*m*r + 101*r**3 + r**2 - 42*r wrt r.
60*m*r + 606*r + 2
Find the first derivative of t*y**3 + 3*t*y**2 + 263*t + 174*y**3 + 5*y**2 + 2 wrt t.
y**3 + 3*y**2 + 263
Find the second derivative of 10822*f**2 + 11911*f wrt f.
21644
What is the second derivative of -58*b**4 - 3*b**2 - 411*b wrt b?
-696*b**2 - 6
Find the second derivative of 15*t**3*y**2 - t**3*y - 6*t*y + 2*t + 2*y**2 wrt y.
30*t**3 + 4
Differentiate -86*g**2*j**3 + 2*g**2 - 2*g*j**4 + 313 with respect to j.
-258*g**2*j**2 - 8*g*j**3
Find the second derivative of -20*n**4*t - 3*n**4 + 2*n**3*t + 1561*n*t wrt n.
-240*n**2*t - 36*n**2 + 12*n*t
Find the second derivative of -668*p**4 - 2*p**2 - 34*p + 39 wrt p.
-8016*p**2 - 4
What is the third derivative of -14195*z**6 + 8*z**2 + 2 wrt z?
-1703400*z**3
Find the third derivative of -61*q**5*t - 4*q**4 + 18*q**2*t + q**2 - t wrt q.
-3660*q**2*t - 96*q
Find the third derivative of -m**4 + 1375*m**3*w**2 + 94*m**2*w**2 + 2*m*w**2 + w**2 wrt m.
-24*m + 8250*w**2
What is the second derivative of -136*g**3 - 95*g?
-816*g
What is the third derivative of 748*i**3*k**6 + i**3*k**2 - 2*i**2*k**2 + 3*k**2 wrt k?
89760*i**3*k**3
Find the second derivative of 482*n**3 - 74*n wrt n.
2892*n
Find the second derivative of -2*q**2*z**2 - 9*q**2*z + 19*q*x**2*z**2 - 9*x**2*z + 2*x**2 wrt z.
-4*q**2 + 38*q*x**2
What is the derivative of 3*k**3*y + 3*k**3 + 516*k*y**3 + 246 wrt y?
3*k**3 + 1548*k*y**2
What is the first derivative of 245*m**4 - 245?
980*m**3
What is the second derivative of b**3*t**2 - 680*b**3 + 4*b*t + 242*t**2 wrt b?
6*b*t**2 - 4080*b
Differentiate -332*j**4 + 143 with respect to j.
-1328*j**3
Find the third derivative of -2*s**4 - 12547*s**3 - 12762*s**2 wrt s.
-48*s - 75282
Find the first derivative of 2094*k**3*o - 2318*k**3 - k*o**4 wrt o.
2094*k**3 - 4*k*o**3
Find the second derivative of -f**3*h**4 + f**3*h**2 + 579*f**3*h - 2*f - 901*h**2 - h wrt h.
-12*f**3*h**2 + 2*f**3 - 1802
What is the third derivative of 206*o**3 - 20*o**2 + 2?
1236
What is the second derivative of h**3*r + 2*h**3 + 55*h**2*r + h*r - 9*h + 1 wrt h?
6*h*r + 12*h + 110*r
Differentiate 39*a*k**3 - 4*a*k**2 - 1423*k**3 wrt a.
39*k**3 - 4*k**2
What is the third derivative of 18*c**6 - c**3 - 14*c**2 + 6*c?
2160*c**3 - 6
Find the second derivative of -1634*v**2 - 79*v.
-3268
What is the third derivative of -3*c**6 + 4*c**3 - 67*c**2 + 2 wrt c?
-360*c**3 + 24
Differentiate -354*i*z + 233*z wrt i.
-354*z
What is the third derivative of x**2*y**3 - x**2*y**2 + 10*x**2*y - 10*x*y**4 - 4*y**3 + 3*y**2 wrt y?
6*x**2 - 240*x*y - 24
What is the derivative of 1824*k + 1841?
1824
Find the third derivative of -335*v**2*w**3 + 3*v**2*w - 4*v*w**4 + 434*v*w**2 wrt w.
-2010*v**2 - 96*v*w
Find the third derivative of 260*o**5 - 4*o**2 - 51.
15600*o**2
What is the third derivative of 141*m**2*p**3 - 6*m**2*p**2 - 4*m**2*p wrt p?
846*m**2
Find the second derivative of -9*t**4 + 82*t**3 - 133*t - 1.
-108*t**2 + 492*t
What is the second derivative of -2*m**3*p - m**3 + 71*m**2*p + 4*m**2 + 26*m*p - 77*m wrt m?
-12*m*p - 6*m + 142*p + 8
What is the second derivative of c**2*j**2 - 24*c**2*j + c**2 + 1003*c*j**2 - 2*j wrt j?
2*c**2 + 2006*c
What is the second derivative of 103*c**3*p**3 + c**3*p + 23*c*p**4 + 1033*p wrt p?
618*c**3*p + 276*c*p**2
What is the second derivative of 5*f**2*j**3*l**2 + 5*f**2*j**2*l + 23*f**2*l**2 - 151*j**3 wrt l?
10*f**2*j**3 + 46*f**2
What is the second derivative of -24*f*j**2*n + 4*f*j**2 + 2*f*j*n + 2*f*n + j**2*n - j*n + 33*j + 6*n wrt j?
-48*f*n + 8*f + 2*n
What is the third derivative of -334*b**4 + 2*b**2 + 238*b?
-8016*b
Differentiate -2*h**2*k*o - 1534*h**2*o - 2693*k*o with respect to k.
-2*h
|
{
"pile_set_name": "DM Mathematics"
}
|
(b) -0.212 (c) 0.5 (d) 4 (e) -0.5 (f) -3/356
d
Which is the second biggest value? (a) -24 (b) -0.005538 (c) 0.032
b
Which is the fourth biggest value? (a) 0 (b) 5 (c) 54/35 (d) -4 (e) 3 (f) -0.569
a
What is the sixth biggest value in -5, -1658, -2/11, 5, -0.3, -3, 0.1?
-5
What is the biggest value in 22, -1/161, -0.4, 0, -67/5?
22
Which is the fourth biggest value? (a) 1 (b) 0 (c) 67 (d) -0.14 (e) -0.5 (f) 322
b
Which is the second smallest value? (a) 2442 (b) -1 (c) 2/3 (d) -140
b
Which is the second smallest value? (a) -34934.49 (b) 16.3 (c) 5
c
What is the second smallest value in -0.3, -17, -0.17, 3/5, 4106?
-0.3
Which is the sixth smallest value? (a) 19 (b) 0.12 (c) 54 (d) 1 (e) -1/6 (f) 2/7
c
What is the smallest value in -0.5, -0.3, 529, 0, 1.9, 1/13?
-0.5
What is the second smallest value in -35656, -5, 2/9, 0.5, -0.3, 0.3?
-5
What is the third smallest value in 3, 5, -5026776, 2?
3
Which is the fifth biggest value? (a) -937 (b) 0.036 (c) -2 (d) 0.5 (e) -4
a
What is the sixth biggest value in 14/3, -0.5, -0.1, 7, -2/15, 5?
-0.5
What is the biggest value in 2, 0.06, -4532, 0.05, 0?
2
Which is the biggest value? (a) -52 (b) -24 (c) 12
c
What is the fourth smallest value in -0.029, -5, -862, 0, -4, -0.1?
-0.1
Which is the biggest value? (a) 0.3 (b) -2/9 (c) 1 (d) 26.92 (e) -0.106 (f) 2/21 (g) -4
d
What is the smallest value in 16, -9/5, -11, -1/4, -5, -3, 319.7?
-11
Which is the biggest value? (a) -56 (b) -4 (c) 4 (d) 0.5 (e) 0.14 (f) -5 (g) -3.6
c
What is the fourth smallest value in -3, 489/298, -2/5, 0.2?
489/298
What is the third smallest value in 0, -0.67, -2525995?
0
What is the third smallest value in 0.25, 2, 4/3, -5137?
4/3
Which is the fifth smallest value? (a) -0.1 (b) -12.3 (c) 0.4 (d) -4 (e) -81
c
What is the smallest value in 4/9, -0.5, 3/5, 0.3, -154/6693?
-0.5
What is the fourth biggest value in 2, -2.584, -2.29, -1/2?
-2.584
What is the second smallest value in -1.5, -17.654, 2/3?
-1.5
Which is the sixth smallest value? (a) 2/17 (b) 2 (c) -4/9 (d) -5/3 (e) -3 (f) 223 (g) 5
g
What is the third biggest value in -5/3, -3, 5327/6, 1?
-5/3
Which is the third biggest value? (a) -3 (b) -0.5 (c) 0 (d) -0.042 (e) 1/439 (f) 2/13 (g) -0.09
c
Which is the second smallest value? (a) 0.16 (b) 15354 (c) 0.07 (d) 5 (e) -0.06
c
What is the smallest value in -1, -0.195913, -13.1, -2/5?
-13.1
Which is the fifth biggest value? (a) -4/7 (b) -1 (c) 51 (d) -26 (e) 6 (f) 0.2
b
Which is the smallest value? (a) 4/21 (b) -72128 (c) -10
b
What is the sixth biggest value in -2/11, 0.31, 6, 4, -0.5, -2/5, -1065?
-0.5
Which is the biggest value? (a) -9 (b) 0.1 (c) 156 (d) 12.1 (e) -5
c
What is the second biggest value in 16, -4/131, 4/3, 12/31?
4/3
What is the third biggest value in 37.227, 23.3, 3?
3
Which is the smallest value? (a) -1/6 (b) 3642868 (c) 4/11
a
What is the fourth biggest value in -80, 1/5, -249, -3?
-249
What is the fourth biggest value in 0.2, -32, -62703/5, -4?
-62703/5
What is the second biggest value in 711, -6/145, 0.5, 3?
3
What is the smallest value in 17, 49, -19, -1/24?
-19
What is the smallest value in -25531/10, -2, 1638?
-25531/10
What is the fourth smallest value in -5, 40, 5, 9620/7?
9620/7
Which is the second smallest value? (a) 7 (b) -2 (c) -1/2 (d) -4609/107 (e) -2/11
b
What is the fifth biggest value in -7, -0.007, 1/5, -0.1, -0.23, -5?
-5
Which is the biggest value? (a) -150204 (b) 0.3 (c) -1/2
b
Which is the second smallest value? (a) 16 (b) 31778/7 (c) -2/7
a
What is the third smallest value in 5, -0.3, -0.5, -1, -31, 4/5?
-0.5
What is the smallest value in -0.1, -4, -3/8, -1/34, -24.4, 3, -2?
-24.4
What is the biggest value in 246168, 0.1, 0.25, -4?
246168
What is the third smallest value in -16/5, 2/19, -1, -7.6, 2/361?
-1
What is the third biggest value in 9/4, -8/5, -3, -10382, -1, -0.1?
-1
What is the smallest value in -25/157, -2/9, 2084/19, -0.4?
-0.4
Which is the third smallest value? (a) -3/5 (b) -440363 (c) 17
c
What is the third smallest value in 5, -1340/29, -0.4, -551?
-0.4
Which is the fourth smallest value? (a) -6 (b) -0.128 (c) -4 (d) 2 (e) -3 (f) 1/7 (g) 1
b
Which is the fifth smallest value?
|
{
"pile_set_name": "DM Mathematics"
}
|
nearest to d? (a) -4/3 (b) h (c) -0.4
c
Let o be (3 - 1)/(4 + -2). Let z(u) = u**3 - 2*u**2 - u - 2. Let k be z(3). Let n be 4/(-190)*(-9 + k). Which is the nearest to 0.1? (a) o (b) -3 (c) n
c
Let q be ((-1)/(-2))/(6/(-12)). Let k = 159/52 - 30/13. What is the nearest to q in k, -2/23, 3?
-2/23
Let o(t) = t**3 + 2*t**2 - 3*t + 1. Let r be o(-3). Let c = -130 + 1948/15. What is the closest to 0.1 in r, -0.3, c?
c
Let w = 9 + -9.4. Which is the closest to -2? (a) -2 (b) -5 (c) w
a
Let l(w) = 2*w**2 + 11*w - 7. Let x be l(-6). What is the nearest to -0.3 in 1/2, 1/3, x?
1/3
Let x = 36 + -41. What is the closest to 0.2 in x, -2/11, 8?
-2/11
Let h = -9 + 7. Let o = 2/9 + 5/18. What is the nearest to -2/3 in 1, h, o?
o
Suppose 4*j + 12 = -0*j. Let o = 75 - 76. Which is the closest to -1? (a) -2 (b) j (c) o
c
Let u = -2.8 + 3.1. Which is the nearest to 1/2? (a) u (b) -0.2 (c) 3
a
Let k = -3 - -9. Let g(y) = -y**2 + 7*y - 3. Let h be g(k). Let l = 1360/7 - 194. Which is the closest to -2? (a) l (b) h (c) 5
a
Let f = 160/3 - 53. What is the closest to 2 in f, 1, -2/7?
1
Let x = 49.1 - 49. What is the nearest to -1/2 in 0, -2/5, x?
-2/5
Let x = 0.199 - -0.001. Let a be 2/7 - (-17)/(-35). What is the closest to -1 in x, a, -0.1?
a
Suppose i + 13 = 2*h + 4*i, -3*h - 3 = -3*i. Which is the nearest to h? (a) 2/9 (b) -5 (c) -2
a
Suppose -3*i + 2*c + 41 = -4, 5*c = -15. Suppose i = -2*g + 7. What is the nearest to -1/4 in 4, 1/7, g?
1/7
Let s = -10 + 9.5. Which is the nearest to 1/4? (a) 0 (b) s (c) -0.1
a
Let i = 1.3 + -1. Let v = -0.01 - -0.16. Let g = v + 0.05. What is the closest to i in 2, g, -2/5?
g
Let n = -8038801/88638 + 43/4029. Let a = -181/2 - n. What is the closest to 0 in a, 1, -0.2?
a
Let w = 40 + -41. Let s = 78720 + -7871937/100. Let h = -3/25 - s. Which is the closest to 0.1? (a) w (b) h (c) -5
b
Let v = 3.61 + -0.51. Let g = 0.1 - v. Which is the nearest to 0? (a) g (b) -4 (c) 2
c
Let m = 0.9 + 4.1. Let b = 1.5 - -0.5. Let z = b - 2.4. What is the closest to 0 in m, 2, z?
z
Let i = 0.9 - -0.1. Let o = 17 + -11. Let v = o + -5. What is the closest to v in 4, 5/2, i?
i
Let d = 1.2 - 0.2. Let h = -1.5 + d. Let l = -11/12 + 2/3. Which is the closest to l? (a) 2/11 (b) h (c) 1
b
Let g = 346 - 346. Let w = 575/14 + -81/2. Which is the nearest to 2? (a) 1/7 (b) g (c) w
c
Let z = -55.4 - -55. Which is the closest to 1? (a) 1/10 (b) -3/8 (c) z
a
Let z be (-6)/12 - (-1)/(-2). Which is the closest to 0.1? (a) -0.08 (b) -4 (c) z
a
Let d = 0.14 - 0.13. What is the closest to 2/3 in 4, 5, d?
d
Let w = 590 + -584.89. Let i = w - 0.11. What is the nearest to 1 in -1, -2/13, i?
-2/13
Let j = 19 + -19. Let h = j + -3. Which is the nearest to -2? (a) 4 (b) h (c) 1/5
b
Let j(v) = 1 - v**2 - v**2 + v**2 + 6*v. Let t be j(6). Which is the nearest to t? (a) -0.5 (b) -5 (c) 5
a
Let b = -1 - -0.8. What is the closest to b in -2/11, -5, 1?
-2/11
Let b = 12.5 + -8.5. What is the nearest to 0 in 3, 0.1, b?
0.1
Let g = 1.37 - 0.07. Let t = g - 0.3. Let z = t - 4. What is the closest to 0 in z, -5, -2?
-2
Let m = -0.27 - 1.33. What is the closest to -1/2 in 2, m, 2/7?
2/7
Let m be ((-6)/(-27))/(4/(-12) - -1). Which is the closest to m? (a) -2/3 (b) 0 (c) 5
b
Let l = -31.2 - -35. Let g = -11 - -7. Let o = l + g. Which is the nearest to -1/4? (a) 2 (b) o (c) 3
b
Let t(r) be the first derivative of -r**3/3 + 2*r**2 + 3*r + 3. Let h be t(5). Which is the closest to h? (a) -5 (b) 2 (c) 0.1
c
Let i = -8.3 + 9. Let g = -0.3 - i. Let n be 0/2 - 2/5. What is the nearest to 0 in -0.1, n, g?
-0.1
Let m be -1*2/(-6) + 4/24. Let d = 0 - 0. Let i = 2/565 + -1711/4520. Which is the closest to m? (a) i (b) d (c) 2/17
c
Let x = 3.3 - 4. Let g = -0.4 - x. Which is the nearest to -1/4? (a) 1 (b) g (c) -1
b
Let y be (5/((-225)/12))/((-5)/15). What is the nearest to 1 in 2, 0.4, y?
y
Let h = 3.1 + -3.06. Let m = -0.46 + 0.6. Let z = m - h. Which is the nearest to z? (a) -2 (b) 0 (c) -1/3
b
Let q = -23/312 + -2/39. Let p = -3 - -2.9. What is the nearest to p in q, -0
|
{
"pile_set_name": "DM Mathematics"
}
|
3 - 26*f**2 - f + 32. Let p be j(26). Solve -3*z - 17 = 4*x, 3*x + 2*z - 6*z - p = 0 for x.
-2
Let a = 2 - 5. Let z be 21 + -3 + a + 2. Let l be ((-2)/(-4) + 0)*(z + -9). Solve l*f = -2*n - 10, n + 0*n = -5*f - 5 for n.
-5
Suppose -2652 = 4*v - 4*a, 0 = 2*v - 0*v - a + 1323. Let g be v/24*(-8)/(-5). Let u = -41 - g. Solve 0 = -b + u*x + 19, 4*b + 3*x - 26 = 5*x for b.
4
Suppose -19*f + 72 = -61. Let k be (32/f)/8 - (-31)/7. Solve -3*q + 2 = u - 1, k*u = -15 for q.
2
Suppose -10*i + 454 = 4. Suppose 48 = -37*m + i*m. Solve 5*d + 3*p = -m, -6 = 2*d - 0*p + 3*p for d.
0
Let c be (-12 + 1184/112)/(2/(-7)). Suppose -2*s = 2*s + 3*n - 20, 3*n - 22 = -c*s. Solve -s*k + k + 2 = 5*g, 0 = -3*g + 5*k + 18 for g.
1
Let d(t) = -t**2 + 16*t + 10. Let y be d(16). Suppose -y = -5*c + 2*i, 0 = -2*c - i + 4. Solve -6 = m + c*k, k = 5*k + 4 for m.
-4
Suppose 1915*x - 1980*x + 130 = 0. Solve 3*j = r + 3, 14*r - 19*r + 36 = x*j for j.
3
Suppose -v = -2*o + 3, -51*v + 5 = 5*o - 56*v. Suppose -18 = -5*d - 8. Solve -2*a = s - a - o, -d*s - 4*a + 10 = 0 for s.
-1
Suppose -204*c - 296 = -431 - 885. Solve -17*j + c*n - 13 = -14*j, 4*n - 8 = 0 for j.
-1
Let d = 2519 + -2516. Let c be (-4 - 2/(-1))/(4/(-22)). Let a(v) = 6*v**3 - v**2 + v - 1. Let i be a(1). Solve -z = 3, -c = d*u + u + i*z for u.
1
Suppose -13 = 1229*s - 1234*s - i, 4*s - 4*i = 44. Solve -s*w = k - 7, -2*w - 5*k - 8 = -25 for w.
1
Suppose -2*c - 13 = -3*a, 0 - 3 = -a + 2*c. Let q be 3/4 + 945/420. Solve -4*z = a*s, q*z + z = 3*s for s.
0
Suppose -12*d + 15 = -7*d. Suppose 0 = -v - 4*y + 12, 0 = -3*v - 4*y - 2 + 6. Let o be (-22 + 20)/(v/6). Solve -1 = -2*x - o*m, -6*m + d*m = -3*x - 6 for x.
-1
Suppose 0 = -9*y - 13*y + 5434. Let c = 274 - y. Solve -3*h - 4*o - 11 = 0, 2*h - c = -2*h + 3*o for h.
3
Let a be -10*9/(-15)*1. Suppose 0 = a*r - r. Suppose 2*k + 5*u = 6*k - 12, -k + 3*u + 3 = 0. Solve r = -4*o + k*q - 32, 2*o = -2*o + 4*q - 36 for o.
-5
Suppose 20*n - 510 = -94*n + 12*n. Solve 5*y = -5*j, 7*y = -n*j + 6 - 8 for y.
-1
Suppose 0 = -195*o + 101*o + 95*o - 2. Solve 8 = -q - o*d, 0*q = q - 5*d - 13 for q.
-2
Let m be 8*(2/(-18))/(0 + (-7)/63). Solve -2*k + m*p - 3*p + 20 = 0, 2*k - 3*p = 12 for k.
0
Let r = 2692 + -2682. Solve -5*j = -p + r, 0*p - 10 = -5*j + 5*p for j.
-3
Suppose -3*v - 12 - 3 = 0. Let b be (6 + 3 + v)*-7. Let s be ((-16)/b)/((-2)/(-7)). Solve 5*y = s*p - 19, -5*y + 3*p = 20 + 1 for y.
-3
Suppose 2*j + 684*h - 1 = 683*h, 5*h + 10 = -5*j. Solve -2*d = 5*i - 5 - 3, j*i - 3*d + 12 = 0 for i.
0
Let t = 187 - 186. Let r be (t + -2)/(4*(-8)/288). Solve r = 4*x + o, 4*o - 6*o + 6 = 4*x for x.
3
Let z = -1902 + 1284. Let c = 620 + z. Solve 4*v + 33 = 5*a, 0 = -6*v + c*v - 5*a + 17 for v.
-2
Suppose -39*d + 1461 - 57 = 0. Solve -4*q + d = -4*n, 2*n + 15 - 7 = 0 for q.
5
Suppose 115 = 51*f - 229 - 64. Solve -3*l + 10 = f*c, -5*l + l + 3*c = 14 for l.
-2
Let r(k) = 10*k**3 - 107*k**2 + 69*k + 12. Let a be r(10). Solve -2*g - m = -4, 10 = 2*g - a*m - 0 for g.
3
Let i = -8 + -11. Let g = i + 22. Suppose 6 = g*q - 0*q. Solve 0 = q*m - k - 0 - 1, 3*m + 5 = -5*k for m.
0
Suppose 2*a + 21 = -2*x + x, 28 = -a + 3*x. Let g(p) = -p**2 - 22*p - 110. Let d be g(a). Solve -3*v - n = 0, 4*n + 1 = -4*v - d for v.
1
Let y(l) = -l**3 - 3*l**2 - 133*l + 23. Let x be y(0). Solve 0*m + 4*p - x = m, 5*m = 4*p - 35 for m.
-3
Let s be -39 + (0 + -4)*1. Let b = 12 + s. Let g = b + 37. Solve 3*q - g = 2*u + 1, q = 5 for u.
4
Suppose 4*b = 20 - 68. Let o be (45/b - -4)*(4 + 4). Solve 6 = -w - 3*w + o*r, -3*r = -5*w - 6 for w.
-3
Suppose 2*d = -2*d - 7*u, -4*d - 13*u = -14*u. Suppose -8*l + 4*l = 0. Let j = l - 0. Solve j = -q, d*b - 4 = 2*b + 2*q for b.
-2
Let z(j) = -j + 11. Let y be z(7). Let m(w) = 2*w**2 + 77*w + 730. Let v be m(-22). Solve 0 = 4*r - 3*r + 5, v*c - y*r - 24 = 0 for c.
1
Suppose 4*n = -5*x + 102 - 904, 0 = -3*n - 4*x - 601. Let o = n - -204. Solve q
|
{
"pile_set_name": "DM Mathematics"
}
|
-2227. Solve -h + 0*m - m = n, -m = -h for h.
-2
Suppose -2*y + 0 = m - 8, 5*y = -4*m + 20. Suppose 0 = 3*k - m - 12. Solve 5*j - 28 = k*u - 2, 3*j + 2*u = -2 for j.
2
Let f(s) = s**3 - 18*s**2 + 18*s - 18. Let h be f(17). Let r(c) = -5*c**3 - 3*c**2 - 4*c - 2. Let m be r(h). Solve -4*t - d + 2 = 0, 2*d - 5*d = m*t + 2 for t.
1
Let p(y) = -y**2 + 5*y - 4. Let w be p(5). Let i be (-14)/28 - 18/w. Solve 0*g - 7 = -i*g - 5*l, -5*l = -2*g + 11 for g.
3
Let t be (-1)/2*0/(-4 - 0). Suppose 2*r + 2*b - 3*b - 5 = 0, 4*r + 5*b = 31. Solve 4*l = -n + 4, t = -n - 2*l + l + r for n.
4
Suppose d - 3 = -2*y + 3, y = -4*d - 11. Let f be 39/3*(3 + -2). Solve 4*j = 3*b - 23, -3*b + y*j + f = 6*j for b.
5
Suppose -7*o + 58 = -68. Suppose o = -6*n + 390. Suppose -4*p + n = -58. Solve 25 = -a + 6*a, -5*a + p = -5*b for b.
-1
Suppose -3*l - 20 = -7*l. Suppose l*y - o - 21 = 0, 0*y + 5*o + 1 = -y. Solve 0 = -y*h + 3*p + 1, -h - 3*p + 8 - 4 = 0 for h.
1
Suppose 0 = 3*x - 39 - 6. Let v be 31 - (-6 + 1)*(-9)/x. Solve -3*p - w = 3*w - v, -5*w = -5*p for p.
4
Suppose 0 = -11*p + 13*p - 12. Suppose -10*h + 32 = -p*h. Solve -v - h = -3*l, -l - v + 7 = 3 for l.
3
Suppose n + 3*n = -2*s - 2, 4*s + n = 17. Suppose -9 = -x - 4*c, -8 = -s*x - 2*c + 1. Let m = 10 - x. Solve -4*w - 3*j - 12 = -5*j, 0 = 3*w + j + m for w.
-3
Let z be -2*(0 + -2 + (-17 - -7)). Solve -3*u + 5*n = z, -4*u + 5*u = 4*n - 15 for u.
-3
Let h(k) = -k**3 + 10*k + 15. Let s be h(-2). Solve -5*d - r - 15 = 7, -d + s*r = 14 for d.
-5
Suppose 5*k - 4*d - 24 = 0, 0 = -3*k - 17*d + 15*d + 10. Solve -k*a = -4*x + 20, 0 = 5*a + 4 + 11 for x.
2
Let q(c) = 4*c**3 - c**2 - 2*c. Let x(m) = -2*m**3 + m. Let d(j) = -2*q(j) - 5*x(j). Let l be d(1). Solve 0 = -5*s + p - 2*p - 3, 5*p = -l*s + 7 for s.
-1
Let n(m) = m**3 + 5*m**2 + 6*m - 1. Let r be n(-3). Let d be r/4 - (-30)/24. Solve -3 = 4*x - 2*f - f, d = f for x.
0
Let q = -146 - -154. Suppose -f = 3*o + q + 3, 0 = 4*o + 20. Solve -2*l = 3*c - 7*l - 19, -4*c - f*l - 28 = 0 for c.
-2
Let v = 14 - 8. Let m(k) = k**2 - 7*k + 6. Let p be m(6). Suppose -h + 3*h = p. Solve 2*f - v = y, 5*f - 14 = -h*y + 3*y for f.
4
Let d(a) = 4*a + 53. Let v be d(-12). Solve v = -3*u + s, -5*u + 3*s - 3 = -0*s for u.
-3
Suppose 2*w + 1 - 3 = 0. Let l be (0 + -1)*(5 - 1). Let j be (12/(-3) - l)/w. Solve 0*g + 3 = -g - 2*b, -3*g + 2*b + 23 = j for g.
5
Let c = 1 - -3. Let q = 0 + 3. Let h be q/1 - 190/(-10). Solve -c*n = 5*u - h, -u - 2*n + 11 = n for u.
2
Let h = 179 - 174. Solve 2*f = 3*f + h, 0 = 3*q - f - 17 for q.
4
Let l(i) = i + 12. Let s(w) = -w**2 + 6*w + 9. Let o be s(-2). Let h be l(o). Solve -2*c + 5*t = 16, -h*c - 2 = t - 4*t for c.
2
Let h(g) = g**3 - 6*g**2 - 4*g - 16. Let y be h(7). Suppose y*t - 16 = -6. Solve -2*o + 0*l - t*l = 10, -3*l = 0 for o.
-5
Let n(p) = 5*p**3 - 2*p**2 - 2*p + 2. Let d be n(2). Suppose 0 = -36*c + d*c + 168. Solve -w - 4*w = 2*f + c, -f = 4*w + 20 for f.
-4
Let g = -20 - -23. Suppose 0 = 5*s - 7 - g. Solve -2*j - 3*j + 3 = -s*h, -h + 3*j - 1 = 0 for h.
-4
Let k be 4/8 - 37/(-2). Suppose -k*n + 22*n - 9 = 0. Solve 0 = 2*g - 10, -n*b - 3*g + 6*g - 12 = 0 for b.
1
Suppose 430 = -6*w + 46. Let j = 82 + w. Solve -4*i = -n + j, 3*i + 2 = 2*n - 9 for n.
-2
Suppose 21*h - 170 = 271. Solve -x - x = 5*v - h, x + 2*v = 8 for x.
-2
Suppose 45*b - 48*b - 9 = -5*k, b - 2 = 0. Solve -u - 5 + k = -i, u - 6 = 5*i for u.
-4
Suppose -3 = -3*t, -3*t + 0 + 5 = r. Suppose 27 = 4*i + 4*p - 7*p, -r*i - 2*p - 4 = 0. Solve -w - 3*m + 2*m = -i, 0 = 3*w - m - 1 for w.
1
Let r = 67 - 63. Suppose 3*x = -2*x + 20. Solve -3*h + w = -x*h + r, 2*h = -4*w + 18 for h.
-1
Let d(v) = -v**3 + 14*v**2 - 16*v. Let n be d(13). Let q be (-3)/((-27)/(-24))*n/4. Solve 5*a - 5*i + 2 = -3, 4*a + 2*i - q = 0 for a.
4
Let m(a) = a**3 - 5*a**2 + 2. Let b be m(5). Let x = -18
|
{
"pile_set_name": "DM Mathematics"
}
|
-99 and -1.01.
99.99
Calculate -1*0.068.
-0.068
What is -0.1 times 0.13?
-0.013
Multiply 2 and -4.9.
-9.8
Calculate -1290*-0.2.
258
14 * -11
-154
Work out 0.08 * 15.
1.2
-0.07 times 2.139
-0.14973
Calculate 391*-0.05.
-19.55
0.3*2843
852.9
Calculate 0.06*28.
1.68
Product of 5 and -69.
-345
Product of -0.38 and 3.
-1.14
-29*15
-435
Calculate -0.1*32.
-3.2
-14.603 * -0.4
5.8412
Calculate -0.5*2.97.
-1.485
11.4 times -1
-11.4
Product of -26 and 1.
-26
Multiply 1 and -21.5.
-21.5
-0.3*0.0519
-0.01557
What is 56 times -4?
-224
What is the product of -2642 and 0?
0
-2 * -55
110
-212.7*-12
2552.4
Work out -281 * 0.4.
-112.4
10*0.1071
1.071
Product of 0.4 and 64.
25.6
What is 63 times -0.5?
-31.5
What is 35 times -4.9?
-171.5
0.8 times -1331
-1064.8
Calculate 598*-0.2.
-119.6
What is 0.2 times 88?
17.6
-2 times -158
316
-138*0.65
-89.7
What is 19 times -1?
-19
Product of 46 and -54.
-2484
Calculate 7*-0.8.
-5.6
4 times -0.07213
-0.28852
What is the product of 22 and -427?
-9394
Product of -8.88 and 5.
-44.4
Product of -1710 and 0.3.
-513
Calculate -20*18.
-360
3.5 times -4
-14
Calculate 0.01733*-0.1.
-0.001733
Multiply 25 and -0.02.
-0.5
Product of -61 and 0.02.
-1.22
-1*-4.1
4.1
Work out -0.149 * 0.1.
-0.0149
0.01 * 927
9.27
What is the product of -0.05 and 0.75?
-0.0375
5 times -183
-915
What is -0.24 times 32?
-7.68
Calculate -0.2*1.714.
-0.3428
0.5 * 4935
2467.5
4 times 14
56
Calculate -1*-1626.
1626
What is 0.2 times -18.3?
-3.66
What is -2.6 times -139?
361.4
What is the product of 0 and 72?
0
Product of -25.1 and -1.1.
27.61
37.3 times -1.7
-63.41
-131*0
0
Work out 1.05 * -1.
-1.05
Calculate 74*-151.
-11174
Multiply 10 and -0.86.
-8.6
Product of 0.341 and 3.
1.023
-184.9 * 0.3
-55.47
Work out 0.0324 * -0.5.
-0.0162
What is the product of -60 and -0.5?
30
4 * 559
2236
Multiply -7 and 213.
-1491
What is the product of 21.2 and -1?
-21.2
2 * -0.27
-0.54
Product of 97 and -0.2.
-19.4
-0.0446 times 5
-0.223
Product of 1 and 82.3.
82.3
Calculate 3.5*-1.4.
-4.9
-39 * 4
-156
-0.1*4.5
-0.45
-17 * -0.024
0.408
Calculate -0.4*1.56.
-0.624
Work out 2149 * 3.
6447
What is 4.9 times -6.8?
-33.32
Calculate -0.489*0.1.
-0.0489
88.3 times 0.4
35.32
Multiply -0.1 and -0.08.
0.008
67 * -1
-67
29 times -1.6
-46.4
Multiply 4349 and 5.
21745
Work out -2 * 22.1.
-44.2
-0.05 * -8
0.4
What is -106 times 0.054?
-5.724
2.1 * -116
-243.6
Calculate 1.6*-537.
-859.2
What is 22021 times -0.5?
-11010.5
-4*39
-156
Work out -41 * 625.
-25625
What is the product of 45 and 0.4?
18
1*-60
-60
What is the product of 6592 and -1?
-6592
0.763*0.3
0.2289
Work out 0.059 * 37.
2.183
Work out 2 * -30.
-60
-21 times 3.4
-71.4
5 * 412
2060
Multiply 2.8 and 11.5.
32.2
-0.2*6.78
-1.356
Work out 5 * -70.
-350
Multiply 0.9 and 9.37.
8.433
Multiply -13 and 0.2.
-2.6
Product of 0.1 and -1.88.
-0.188
-0.05 times 61
-3.05
-139 times 0.003
-0.417
Product of 0.015 and 6.
0.09
Calculate 0.5*-255.
-127.5
Multiply 25 and 0.3.
7.5
-572*0.14
-80.08
Work out 2 * 91.
182
Work out -0.4 * 45.4.
-18.16
Multiply 10.3 and 0.6.
6.18
Product of 331 and -84.
-27804
What is -0.5 times -0.56?
0.28
-442 * 0.17
-75.14
Product of -19 and -7.
133
Calculate -867*-0.09.
78.03
Multiply -1583 and 0.3.
-474.9
Work out -709 * -0.04.
28.36
-1630 * -2
3260
5 * 0.058
0.29
What is the product of 16 and 0.105?
1.68
Work out 12121 * 3.
36363
Multiply 0.3 and -731.
-219.3
Work out 3 * -9.6.
-28.8
5 times -48
-240
What is the product of 3 and -875?
-2625
-0.09 times -0.3
0.027
Calculate 0.4*83.
33.2
Product of 10.051 and -0.3.
-3.0153
What is the product of 158 and 0.1?
15.8
0.019 * -3
-0.057
What is the product of 16 and -14?
-224
2.84 times 5
14.2
5 * 1394
6970
7*-0.46
-3.22
Multiply -3 and 1141.
-3423
Calculate 165.6*3.
496.8
Multiply 7344 and 0.5.
3672
5 times 657
3285
What is 0 times 32?
0
Product of -1.12 and -5.
5.6
What is the product of -1.5 and 42?
-63
Multiply -21 and -1.
21
Multiply -1.03 and 1.
-1.03
What is -127 times 2?
-254
Calculate -0.93*-0.5.
0.465
Work out -0.1 * 2613.
-261.3
What is 1199 times -2?
-2398
|
{
"pile_set_name": "DM Mathematics"
}
|
s digit of 90105952?
9
What is the tens digit of 140995820?
2
What is the hundred millions digit of 1635670619?
6
What is the units digit of 44483125?
5
What is the ten thousands digit of 869804498?
0
What is the ten thousands digit of 165901288?
0
What is the hundred millions digit of 157947473?
1
What is the ten thousands digit of 1224144869?
4
What is the units digit of 92035266?
6
What is the ten thousands digit of 2023857?
2
What is the millions digit of 25242573?
5
What is the ten thousands digit of 122547072?
4
What is the units digit of 14850233?
3
What is the ten thousands digit of 5745172352?
7
What is the thousands digit of 676109281?
9
What is the ten millions digit of 360655237?
6
What is the ten millions digit of 118744859?
1
What is the hundred millions digit of 483352980?
4
What is the ten millions digit of 211170238?
1
What is the hundreds digit of 392851557?
5
What is the hundreds digit of 112017152?
1
What is the thousands digit of 81544338?
4
What is the units digit of 69998796?
6
What is the hundreds digit of 138365785?
7
What is the hundred millions digit of 970427874?
9
What is the ten thousands digit of 31801710?
0
What is the millions digit of 485870246?
5
What is the tens digit of 39352075?
7
What is the hundreds digit of 720888368?
3
What is the hundreds digit of 20830091?
0
What is the units digit of 20512727?
7
What is the thousands digit of 1981916?
1
What is the thousands digit of 88273191?
3
What is the hundred thousands digit of 2367521617?
5
What is the hundreds digit of 710137253?
2
What is the hundred thousands digit of 16759199?
7
What is the millions digit of 58504378?
8
What is the hundred millions digit of 2028423115?
0
What is the ten millions digit of 59449111?
5
What is the hundred thousands digit of 301820165?
8
What is the ten thousands digit of 109576586?
7
What is the ten thousands digit of 3354369?
5
What is the thousands digit of 226060848?
0
What is the ten thousands digit of 1044507291?
0
What is the millions digit of 5665427226?
5
What is the ten millions digit of 199494320?
9
What is the hundreds digit of 41724063?
0
What is the ten thousands digit of 1904770477?
7
What is the thousands digit of 95671762?
1
What is the hundred thousands digit of 115418735?
4
What is the hundreds digit of 37106841?
8
What is the tens digit of 251269390?
9
What is the tens digit of 98547522?
2
What is the millions digit of 288689257?
8
What is the hundred millions digit of 1443319029?
4
What is the hundred thousands digit of 61390381?
3
What is the hundreds digit of 209890911?
9
What is the ten millions digit of 4995832537?
9
What is the units digit of 4119348726?
6
What is the thousands digit of 50728533?
8
What is the ten thousands digit of 375764315?
6
What is the ten millions digit of 1917071229?
1
What is the ten thousands digit of 388287544?
8
What is the hundred thousands digit of 166696002?
6
What is the billions digit of 1762421147?
1
What is the hundreds digit of 96141040?
0
What is the units digit of 360234021?
1
What is the hundred thousands digit of 90654141?
6
What is the ten millions digit of 817436388?
1
What is the millions digit of 184584614?
4
What is the hundred thousands digit of 139101433?
1
What is the billions digit of 6187920790?
6
What is the hundred millions digit of 132837861?
1
What is the millions digit of 19915870?
9
What is the hundreds digit of 613572335?
3
What is the thousands digit of 22589893?
9
What is the thousands digit of 216678736?
8
What is the ten thousands digit of 24898360?
9
What is the hundred thousands digit of 803915514?
9
What is the thousands digit of 4780324367?
4
What is the millions digit of 25653806?
5
What is the ten thousands digit of 33659266?
5
What is the millions digit of 355887350?
5
What is the hundreds digit of 1171998651?
6
What is the ten thousands digit of 691169418?
6
What is the billions digit of 1228812441?
1
What is the tens digit of 406087967?
6
What is the hundreds digit of 3033884687?
6
What is the ten thousands digit of 51036972?
3
What is the thousands digit of 97314181?
4
What is the hundred thousands digit of 134978912?
9
What is the tens digit of 188476641?
4
What is the units digit of 41316928?
8
What is the ten millions digit of 719437874?
1
What is the hundred thousands digit of 30230678?
2
What is the tens digit of 214265106?
0
What is the units digit of 1328001301?
1
What is the tens digit of 1570166629?
2
What is the hundreds digit of 60718652?
6
What is the hundred thousands digit of 39560511?
5
What is the hundred thousands digit of 226621800?
6
What is the millions digit of 62786607?
2
What is the units digit of 559328457?
7
What is the millions digit of 71692441?
1
What is the hundred thousands digit of 205098079?
0
What is the thousands digit of 21297326?
7
What is the hundred thousands digit of 1769422745?
4
What is the ten millions digit of 36330811?
3
What is the ten millions digit of 1111936603?
1
What is the hundreds digit of 1482511571?
5
What is the thousands digit of 94387763?
7
What is the tens digit of 131978538?
3
What is the hundreds digit of 13794942?
9
What is the hundred thousands digit of 12051977?
0
What is the tens digit of 744834329?
2
What is the units digit of 11884776?
6
What is the millions digit of 40405577?
0
What is the billions digit of 7777808759?
7
What is the tens digit of 42128807?
0
What is the ten thousands digit of 2487677012?
7
What is the hundred millions digit of 213514142?
2
What is the ten thousands digit of 46783977?
8
What is the hundreds digit of 571810277?
2
What is the hundreds digit of 71017797?
7
What is the ten thousands digit of 606151537?
5
What is the hundred millions digit of 134582274?
1
What is the tens digit of 445225149?
4
What is the tens digit of 71578042?
4
What is the hundred millions digit of 5111726927?
1
What is the hundreds digit of 281072567?
5
What is the hundred millions digit of 1387779287?
3
What is the millions digit of 62162461?
2
What is the hundred millions digit of 273641510?
2
What is the ten thousands digit of 1487209914?
0
What is the millions digit of 43998375?
3
What is the ten millions digit of 1812098503?
1
What is the hundreds digit of 455616696?
6
What is the hundreds digit of 75497914?
9
What is the ten millions digit of 1721758485?
2
What is the tens digit of 5933438?
3
What is the ten thousands digit of 22619619?
1
What is the units digit of 1939973813?
3
What is the hundred millions digit of 1398121140?
3
What is the ten millions digit of 459668904?
5
What is the millions digit of 346248968?
|
{
"pile_set_name": "DM Mathematics"
}
|
3*a**3. Calculate o(z).
13
Let n(p) be the third derivative of 0*p - 5/6*p**3 - 1/20*p**5 + 29*p**2 + 0 + 7/24*p**4. Give n(4).
-25
Let v(i) = -i**3 - 16*i**2 - 4. Let g be v(-16). Let x(c) = c - 1. What is x(g)?
-5
Suppose -3*v + 5 = -1. Let z(q) = -2*q**2 - 1 + 3*q**v - 2*q**2 - q. Calculate z(0).
-1
Let p(h) be the first derivative of -h**5/15 - h**4/24 + 2*h**2 + 16. Let g(k) be the second derivative of p(k). Give g(2).
-18
Let y(p) = p**3 - p**2 - p + 5. Let l = -6 + 9. Let k be (-1)/l + (-1)/(-3). What is y(k)?
5
Let c(p) = -1 - 3*p + 5 - p + p. Let h be c(-2). Suppose 4 + h = 7*r. Let f(m) = -m**3 + 2*m**2 + 2*m + 1. Determine f(r).
5
Suppose -18*c + 136 = -22*c. Let d = c - -30. Let l(k) = k - 1. Give l(d).
-5
Let o = 128 + -90. Let r = -34 + o. Let d(n) = 2*n - 1. What is d(r)?
7
Let x(q) = -q**3 + 2*q**2 + 12*q + 1. Let p be (80/(-24))/(2/(-3)). Let l be x(p). Let k be 30/(-12)*l/5. Let s(f) = -f + 5. Calculate s(k).
-2
Let z(f) = -f**3 + 4*f**2 - f. Suppose 3 = -y + 18. Suppose -2*t + c = -c - 8, 4*t = 3*c + y. What is z(t)?
6
Let a be -1*(12/3 + 2). Let n = -7 - a. Let s(c) = -1. Let z(k) = -8*k - 5. Let x(j) = n*z(j) + 6*s(j). Calculate x(1).
7
Let c(g) = -19 - 7 + 51 - 15 + 5*g**2 + g**3 - 13*g**2 - 2*g. What is c(8)?
-6
Let z(j) = j**2 - 3*j. Let w(y) = 14*y - 1 + 17*y**2 + 15*y**2 - 39*y**2. Let o(s) = 2*w(s) + 11*z(s). Calculate o(-3).
-14
Let n(w) = -7*w**2 + w**3 + 0*w**3 + w - 3*w + 3*w + 6. Calculate n(7).
13
Let q(b) = -1. Let f(l) = 3*l - 12. Let n(p) = f(p) - 4*q(p). Calculate n(3).
1
Suppose -5*x + 0*x = 15, k - 4*x - 11 = 0. Let y = 74 + -72. Let d(b) = -4*b - 4*b + y*b + 3*b. Calculate d(k).
3
Let k(b) = b**3 - 8*b**2 - 2*b + 12. Let a(s) = 4*s**2 + 3*s - 17. Let h(g) = 5*g**2 + 3*g - 16. Let x(f) = 4*a(f) - 3*h(f). Let v be x(4). Give k(v).
-4
Let w(n) = n**3 + 5*n**2 + 4*n + 2. Let k be (-4)/(-24)*8*-3. Determine w(k).
2
Let h(b) = -b. Let k(l) = -5*l. Let c(j) = 4*h(j) - k(j). Let f(p) = -p**2 - 10*p - 27. Suppose 0 = -3*d - 37 + 19. Let s be f(d). Determine c(s).
-3
Let o = 68 - 84. Let w = 24 + o. Let a(q) = -q + 2. Calculate a(w).
-6
Let b(p) be the first derivative of p**4/4 - p**3/3 + p**2/2 - 4*p - 1. Suppose 0 = -5*j + 3*o - 1, -5*j = -4*o + 2 - 4. Let h be (-4)/6 - j/3. Give b(h).
-4
Let a(b) = 7*b + 14. Let x be 180/30*(-4)/6. Give a(x).
-14
Let a(r) = r. Let b(c) = c + 8. Let n be b(-5). Let o(i) = -i**2 + 10*i + 4. Let x(g) = n*a(g) - o(g). Calculate x(6).
-10
Let l(n) = 40*n + 4. Let p(v) = 14*v + 1. Let h(g) = -3*l(g) + 8*p(g). What is h(3)?
-28
Let a be (4/(-7))/((-5)/35). Let l be -4 + a + 3 + 0. Let b(r) = -r + 0 + 3 + l*r. What is b(-6)?
-9
Suppose 58 = -3*x + 34. Let f(t) = 3*t**3 - 8*t**2 - 7*t + 6. Let s(o) = 5*o**3 - 12*o**2 - 11*o + 9. Let r(k) = x*f(k) + 5*s(k). What is r(-3)?
3
Let q(u) = -104*u**2 - 104*u**2 - 2 + 318*u**2 - 109*u**2 - 7*u. Suppose -5*d = -d - 16. What is q(d)?
-14
Let s = -60 - -34. Let h be (-212)/s - 6/39. Let c(j) = -j + 4. Let u be c(h). Let g(n) = -2*n. What is g(u)?
8
Let r(b) = b**3 - 5*b**2 + 4*b - 5. Let q(d) = d**2 - 26*d + 74. Let l be q(23). Determine r(l).
15
Let f(b) be the first derivative of b**3/3 + b**2 - 4*b + 68. Calculate f(-5).
11
Let o(y) = 16*y**3 - y**2 + y. Let n be (-2)/(-6)*6/2. Suppose -n + 5 = 4*l. Determine o(l).
16
Let c(v) = 3*v**3 - 7 - 16*v - v**3 + v**3 - 4*v**2 - 2*v**3. Let b be c(7). Let u = b + -34. Let z(k) = -k**2 - 5*k + 3. Give z(u).
-3
Suppose 0 = 4*h - 2*h + 22. Let m = h - -14. Let r(l) = -3*l + 1 + m*l + 3 - l. Calculate r(4).
0
Let k(d) be the third derivative of -d**5/60 + d**4/6 + 5*d**3/6 + 76*d**2 - 3*d. Let x = -5 + 10. Determine k(x).
0
Suppose 2*v - 6 = v. Let c(l) = l - 10. Let m be c(v). Let k(b) = b + 4. Give k(m).
0
Let d(r) = 3*r - 2. Let s(x) = -x**2 + 4*x - 16. Let v(b) = -4*d(b) + s(b). What is v(-6)?
4
Let o(n) = 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
hat is -2.1 + 93428?
93425.9
What is 134 less than 5.5?
-128.5
Add together -8238 and 2.
-8236
Add together -433 and 0.094.
-432.906
Add together -11 and -0.05319.
-11.05319
Calculate 1241.13 - -3.
1244.13
Calculate 7 - 167199.
-167192
Subtract 0.19786 from 0.06.
-0.13786
Work out -5 - 72120.
-72125
What is the difference between -0.11978 and 4?
4.11978
0.2 - -0.25898
0.45898
Subtract -19.2 from -232.4.
-213.2
What is the difference between -0.3 and -100?
99.7
What is -0.05 - 0.012?
-0.062
-19051253+0.1
-19051252.9
Calculate -251199 + -0.5.
-251199.5
Put together -700 and -0.13.
-700.13
What is the difference between -5 and 396.1?
401.1
31.48 + -1
30.48
Work out 0.0593 - 3.
-2.9407
What is -700 take away 202?
-902
Sum -0.3 and -0.2009.
-0.5009
What is -363 minus 0.94?
-363.94
What is -24 less than -1.25?
22.75
What is -479 take away -1098?
619
What is 1 - -136878?
136879
Sum 29.7 and 200.
229.7
What is 792 plus -3479?
-2687
What is -3.6 minus -173.25?
169.65
1268 - 4
1264
What is -18855 minus 16?
-18871
What is 0.07 plus -114?
-113.93
Add together 0.5 and 466.
466.5
Work out -0.02 - -245.5.
245.48
What is the distance between 0.2 and -1398?
1398.2
What is the difference between -5.2 and 7?
12.2
Total of 26 and -68811.
-68785
Work out -108 + 0.4.
-107.6
What is 16862 minus 0.7?
16861.3
-18 - 0.010472
-18.010472
Calculate -5.8 - -0.054.
-5.746
Sum 33 and -0.376.
32.624
-0.03 - 1210629
-1210629.03
Put together 76 and 42.7.
118.7
-15+1.34
-13.66
Calculate 50582 - 0.4.
50581.6
Add 22.77 and 0.046.
22.816
Subtract -6.78 from -1.6.
5.18
What is 5 take away 97.17?
-92.17
Total of -29 and 56.
27
What is -20934 less than 4?
20938
Put together -11 and -1.3.
-12.3
What is -2.4082 take away -15?
12.5918
Calculate 18 - -1000.
1018
Add -2.8815 and 0.3.
-2.5815
What is -1030 minus -2?
-1028
-23204+-4
-23208
Calculate -0.49 - 0.107.
-0.597
Calculate 0 + -35340.
-35340
What is -2853 - 0.3?
-2853.3
Put together 0.59 and 63.5.
64.09
Add 3626 and 0.1.
3626.1
-0.4 - -0.0622
-0.3378
Total of -97 and 699.
602
Calculate 73 + -17.7.
55.3
What is -730842 take away -4?
-730838
What is the distance between 656 and -3.2?
659.2
Add together -0.27 and -0.6.
-0.87
0.2 + -2291
-2290.8
What is 0.5 + -7.5422?
-7.0422
3 + -766
-763
Subtract -0.49 from -2097.
-2096.51
Subtract 14 from -2.7.
-16.7
What is -8 + -107?
-115
What is 0.16 minus -0.085638?
0.245638
0.236292 - 4
-3.763708
Calculate 0.053 - 1.917.
-1.864
What is 0.04769 take away 2?
-1.95231
Add together -5 and -541.3.
-546.3
Calculate -17 + 29236.
29219
What is 4879 minus -9.7?
4888.7
Add together 0.1 and -0.07627.
0.02373
What is the distance between -0.5492 and 0.4?
0.9492
Calculate -4.289 + 3.
-1.289
What is the distance between 0.664 and -45.92?
46.584
What is 0.4 minus 622.51?
-622.11
Sum -0.076 and -0.4354.
-0.5114
Work out -0.3102 - -72.
71.6898
Add together 5 and -3.868.
1.132
0.2 + -3.262
-3.062
Total of -0.7082 and -310.
-310.7082
0.4+474.1
474.5
What is -8 + -904?
-912
-0.3+-9.04
-9.34
What is -148 + -99?
-247
What is 0 take away -6640?
6640
What is 0.04 less than -64?
-64.04
Calculate -111 + -930.
-1041
What is -0.34 take away -0.137497?
-0.202503
Calculate -222 + 835.
613
Work out -2 + -195.
-197
Subtract -1.3 from -1627.
-1625.7
Add together 1.5 and 0.129827.
1.629827
-14.7 - -12
-2.7
What is the distance between 0.798 and -2.1?
2.898
86.09+14
100.09
What is the difference between 1.2 and 50053?
50051.8
Work out -214 + -0.5.
-214.5
What is 554 less than 0.02?
-553.98
What is -0.03 minus -0.6175?
0.5875
What is -0.19 - -1.9129?
1.7229
Add together -0.4 and -0.1179.
-0.5179
Put together 117 and -624.
-507
323 + 232
555
Work out -24.02 + 27.
2.98
Add 3 and -171.7.
-168.7
What is -0.36 minus 2.293?
-2.653
What is the distance between -3664 and -0.13?
3663.87
Work out -106.1 - 23.
-129.1
Work out -0.05671 - 53.
-53.05671
What is -79 - -0.021?
-78.979
What is the difference between -4 and 25395?
25399
Sum 107 and 69.
176
What is -824665 less than -1?
824664
Calculate -10227 - -0.026.
-10226.974
-0.1+-0.12958
-0.22958
What is 4.2 less than -508?
-512.2
Work out -316 + -0.2.
-316.2
Total of 5 and 384.
389
Total of -0.1 and -6861.
-6861.1
-62 - 15
-77
Sum -1119.8 and 84.
-1035.8
What is -0.16 - -0.117?
-0.043
0.4 + 576.491
576.891
What is -4 minus -14896.1?
14892.1
Total
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-6)/21.
5/6
What is 6/28*(69/(-90) + (-48)/(-480))?
-1/7
What is (-6)/(-4) + ((-129)/24)/((-1)/4)?
23
What is ((-2000)/4500)/(2/(-45))?
10
What is 6912/9216*(-208)/6?
-26
(99/44*50 + -11)/((-56)/(-16))
29
Calculate 1*(-170)/45 + 4 - 780/108.
-7
Evaluate (10 - (-2 - -3))*(11 + -38 + 26).
-9
What is the value of 700/(-40)*(2 + (540/35)/(-6))?
10
Calculate -4 - -2 - 18/(-21).
-8/7
1/(-25*3/(-750))
10
What is ((-87)/135 - -1) + 80/180?
4/5
Evaluate (-2)/(-13) - 2725/1417*16/70.
-2/7
Calculate (0/(-112))/(1/1) + (-30)/(-27).
10/9
What is 2/2*-4 - (-86 + 32 - -36)?
14
Calculate (39/(-26)*12)/((-1)/(4/6)).
12
Evaluate 1691/95 - (35 + -20).
14/5
1/1*7*10/14 + 2
7
What is the value of 26/51 - ((-204)/1530)/((-2)/5)?
3/17
What is the value of (-30)/3 - (126/28 - 0)*-2?
-1
What is (-957)/(-609) + 1/(-1)?
4/7
What is (-33)/77 - (-60)/238?
-3/17
What is (10 + 64/(-3 + -5))/48?
1/24
What is the value of (4 - (-84)/(-18))*(-4)/16*90?
15
Evaluate ((-110)/(-24) + (-660)/198)/(-2).
-5/8
What is the value of ((-5670)/36)/63*32/(-10)?
8
What is ((-1)/2)/(-1) + ((-2627)/(-74) - 13)?
23
What is the value of ((-2)/3)/(188/846)?
-3
Calculate (-20)/25 - (-30)/225.
-2/3
What is the value of (3/4)/((-252)/2328) - -7?
1/14
32 - (-26)/((-468)/(-54))
35
What is the value of 41/((-861)/(-819))*1/3?
13
What is the value of ((-9)/3)/((36/(-8))/3)?
2
What is the value of (-10 - 168/(156/(-13))) + (8 - -2)?
14
Evaluate 2 + (-228)/(-14) + 23/(-7) + 3.
18
Evaluate (-208)/(-1768)*(-1)/2*3.
-3/17
((-16)/4 - -5)*(-18)/3
-6
What is (-4)/1 + 15/1500*-598 + 10?
1/50
Evaluate (30/(-75))/(64/2680) + 6/8.
-16
Calculate (0 - (-4)/(-3))*(-1296 + 1293).
4
Evaluate (6/(-5))/(-12 + 1746/90 + -7).
-3
(-3)/(-21) - (-9)/(-21)
-2/7
What is the value of -3 - (25 - 14) - 4*-2?
-6
Evaluate 31/11 + (6/(-88))/(30/(-80)).
3
What is the value of ((5 - 3)/2 + -2)*(-4 - -1)?
3
What is 172*3/102 - 5/(11 + -10)?
1/17
What is ((-150)/12)/(320/384)?
-15
What is (-30)/(-36)*(-8)/10?
-2/3
Evaluate (-12)/10*1240/1984.
-3/4
Calculate (-36)/((-4)/1) - (-3)/(-1).
6
What is (-22)/(-2464)*64 - 178/(-7)?
26
What is the value of (-494)/(-380) - (-20)/(-25)?
1/2
-5 + -20*162/(-90) - 17
14
What is -1 + 319/(-580)*(-3 - (-3)/3)?
1/10
Calculate 13 - 7 - (-8 - 759/(-54)).
-1/18
480/7920 - (-200)/(-33)
-6
Calculate (-66)/(-4)*(-9)/(270/(-20)).
11
What is the value of ((-768)/(-112))/(38/(-133))?
-24
Calculate 72/(-315)*(10 + (-1098)/72).
6/5
Evaluate 9 + 6 + (-5344)/352.
-2/11
Calculate (-111)/24 - (-1683)/(-4488).
-5
Evaluate 47/(2773/177)*5/(-3).
-5
Calculate (1022 - 1034) + (-230)/(-19).
2/19
What is 21 + (-64)/4 + (-4 - 32)?
-31
What is the value of (-1)/(0 - (-20)/(-8))?
2/5
What is the value of 6 - ((-18)/(-10))/(7/((-35)/1))?
15
5/(-45*(-40)/(-11520))
-32
Calculate (14/(-21))/((7 - 14)/126).
12
Calculate (-20*(-28)/210)/(2/3) + 5.
9
Evaluate (840/100)/((-4)/34 + (-48)/170).
-21
(3/4)/((-184)/736)
-3
What is (22/10 - 2)/(171/(-1368))?
-8/5
5445/1980 + (-178)/24
-14/3
Calculate (4/12)/(16/384) + -18.
-10
Evaluate -12 + 14/6*5.
-1/3
(1296/(-972))/((-2)/9)
6
((-2)/(-5) + 26/(-40))*-44
11
(-19 - 4136/(-220))*(2 - 33/39)
-3/13
(((-8)/132)/(36/162))/(3/(-4))
4/11
Evaluate (-4)/(-18)*3*(17 - (-12348)/(-720)).
-1/10
Calculate (-64)/(-44) - (69 - 67).
-6/11
What is the value of (54 + -106 + 20)*2/(-4)?
16
What is (-28)/(-21)*33/(-187)?
-4/17
(0 + 1)/(58 + 33198/(-572))
-26
Calculate ((-20)/(-7))/(-21 + 5662/266).
10
(-960)/(-315)*3 - 9
1/7
Evaluate (-2)/(-4)*(18 - (31 - 11)).
-1
(-84)/(-6) - (-15 - (-972)/33)
-5/11
-11 + 30247/1192*(-3)/(-7)
-1/8
What is the value of 6*(-4*(-581)/(-210) - -9) + 10?
-12/5
Evaluate (-37 + 14 - 816/(-36)) + (-176)/(-6).
29
Evaluate (-5 + -3)*46/2024.
-2/11
Calculate (-8 + (-1328)/(-168))*(4 + -1 - 38).
10/3
What is (-5)/(-2)*(-10)/(-175)?
1/7
Calculate 0 - (-2)/(8/32 - 0).
8
What is the value of (-30 - -33)/(((-21)/(-12))/(-7))?
-12
Calculate -41 + 992/32 + -9.
-19
((-12)/18)/(11/(-18))*143/26
6
((-4)/6)/(-1*12 + (-15648)/(-1296))
-9
Evaluate (((-1075)/(-250))/(-43))/(4/(-45)*-3).
-3/8
Evaluate 26 - 10*(-9 - -11).
6
What is the value of ((-274)/56 - -5)*2*(4 - 0)?
6/7
Evaluate 31 - (-1692)/((-1260)/35).
-16
What is the value of 6 + -4 - (-364)/28?
15
Calculate (-207)/(-115)*((-2)/10 + (-112)/(-60)).
3
(-6)/4*((-36)/8)/3*-4
-9
(-75 - -63)/((-14)/4 + (-8)/(-16))
4
What is the value of ((-1)/(-13)*-3)/(27*(-19)/342)?
2/13
(68 + -39 - 32)*1/(-2)
3/2
What is the value of (-14)/5 - 284/(-355) - (-31)/17?
-3/17
Calculate (-42 + 32)/((-175)/(-42)).
-12/5
Evaluate 24/(-24)*(-5
|
{
"pile_set_name": "DM Mathematics"
}
|
-2201100221
In base 13, what is 5 - 202294bc?
-202294b7
In base 7, what is -4 - -1005631423?
1005631416
In base 10, what is -78 + 746330?
746252
In base 16, what is 21187 - 9a2?
207e5
In base 2, what is -1101 + 11111110010010110001110?
11111110010010110000001
In base 9, what is 2344316 + -175?
2344131
In base 3, what is 1011000112022000110 - -2?
1011000112022000112
In base 11, what is -193a5 + 3a9?
-18aa7
In base 6, what is 3143542200 - 5?
3143542151
In base 16, what is -a40 + 40d85?
40345
In base 13, what is -476c7 + -1?
-476c8
In base 16, what is 3657 - 19de?
1c79
In base 13, what is -7 + -33830a4?
-33830ab
In base 13, what is -274a3 + -491?
-27964
In base 16, what is a + -98a60?
-98a56
In base 13, what is -3 - -610389?
610386
In base 7, what is 5 - -103566414?
103566422
In base 6, what is -2034543 + -341?
-2035324
In base 15, what is a9 + -71630?
-71576
In base 14, what is 2 - 2c64a78?
-2c64a76
In base 8, what is -2 - -173107517?
173107515
In base 9, what is -2 + -34785836?
-34785838
In base 11, what is -57 - 274902?
-274959
In base 9, what is 5375634 - 2?
5375632
In base 13, what is 22a32 - 879?
22186
In base 16, what is -e0b43a + 5?
-e0b435
In base 13, what is -238058c - -1c?
-2380570
In base 7, what is 245 + -2501342?
-2501064
In base 6, what is 30 + -1442530524?
-1442530454
In base 10, what is -10245844 - -4?
-10245840
In base 11, what is a5 + -1573505?
-1573410
In base 5, what is 1143341111 + 1141?
1143342302
In base 9, what is -171 + 4534?
4353
In base 15, what is -7a3 + -51c3?
-5976
In base 13, what is -60 + 1350cb?
13506b
In base 4, what is 2101222100 + 11?
2101222111
In base 8, what is -1203 + -177023?
-200226
In base 8, what is 3 + 141226531?
141226534
In base 2, what is -10010 - -110111111111101101011111?
110111111111101101001101
In base 16, what is 28fbe6 - -55?
28fc3b
In base 7, what is 45520 - 11341?
34146
In base 12, what is 0 + 19116b77?
19116b77
In base 9, what is -13 - 132515865?
-132515878
In base 7, what is -1201260525 + 0?
-1201260525
In base 10, what is -530 + -15182?
-15712
In base 2, what is 11001000100110000 + -10001111?
11001000010100001
In base 16, what is 4c5 - 2b21?
-265c
In base 15, what is 34a33d - b?
34a332
In base 2, what is -100100 + 11001001000100000111101?
11001001000100000011001
In base 2, what is 11011110 + 10011100011111010?
10011100111011000
In base 4, what is -223110 + 200310130?
200021020
In base 2, what is -11110100111101000111011111 + 11?
-11110100111101000111011100
In base 14, what is 12b696 + 86?
12b73c
In base 16, what is 41 - 2aac00?
-2aabbf
In base 9, what is -170538247 + -2?
-170538250
In base 8, what is 166 + 12632321?
12632507
In base 4, what is 103302110 - -1010?
103303120
In base 3, what is 122111 + -2110020?
-1210202
In base 9, what is 0 + 465256158?
465256158
In base 6, what is 3104434003 + -24?
3104433535
In base 9, what is -128863 + 13?
-128850
In base 8, what is 274 + 2573527?
2574023
In base 16, what is -40d1 + -1f4?
-42c5
In base 10, what is 56 + -40952?
-40896
In base 8, what is 621655 - 1272?
620363
In base 9, what is 1112 + 412715?
413827
In base 15, what is -4 + -2b8541?
-2b8545
In base 12, what is -28ba374 - -2?
-28ba372
In base 7, what is -6 + -2214423?
-2214432
In base 13, what is 4aab215 + -1?
4aab214
In base 3, what is -101 - -100010212120?
100010212012
In base 15, what is 4 - 385cc9?
-385cc5
In base 8, what is -5310 + 3522?
-1566
In base 10, what is 29 - 7143705?
-7143676
In base 8, what is -11675404 + 0?
-11675404
In base 11, what is 350a9 - -356?
35454
In base 5, what is -14101033231 + 10?
-14101033221
In base 10, what is 1057 - -354904?
355961
In base 2, what is -100111101100111 + 10000101?
-100111011100010
In base 12, what is 141 + 793197?
793318
In base 13, what is 434c8 - 327?
431a1
In base 14, what is -3 + 13a4d288?
13a4d285
In base 8, what is -4425473 - 35?
-4425530
In base 2, what is -110000100100001 - 101110010000?
-110110010110001
In base 7, what is 651 - 1015351?
-1014400
In base 4, what is -121100121 + 120123?
-120313332
In base 3, what is 2 + 202122222112110?
202122222112112
In base 4, what is 1 - 1122032322?
-1122032321
In base 9, what is 512187140 + -5?
512187134
In base 13, what is -341a92 - -13?
-341a7c
In base 12, what is a9b97660 + 1?
a9b97661
In base 11, what is 765 + 6553?
7208
In base 5, what is 3110201022 + 42?
3110201114
In base 8, what is -317 + 2125015?
2124476
In base 9, what is 1 - -16652843?
16652844
In base 3, what is -1012202001 - -111102111?
-201022120
In base 8, what is -10 + -11463111?
-11463121
In base 16, what is 3 - 24c9aca?
-24c9ac7
In base 13, what is 14745 + -67?
146ab
In base 16, what is -1dc2 + 11d2?
-bf0
In base 10, what is 585195 + 1229?
586424
In base 3, what is -11022222 - 202211222?
-221011221
In base 2, what is -1000 +
|
{
"pile_set_name": "DM Mathematics"
}
|
0, -77800, -77812, -77826?
-n**2 - n - 77770
What is the w'th term of -111, -49, 17, 87, 161?
2*w**2 + 56*w - 169
What is the p'th term of -14, -95, -190, -305, -446?
-p**3 - p**2 - 71*p + 59
What is the t'th term of -481, -263, 95, 593, 1231, 2009?
70*t**2 + 8*t - 559
What is the m'th term of -2999, -3106, -3213?
-107*m - 2892
What is the l'th term of 3273, 3278, 3281, 3282, 3281, 3278?
-l**2 + 8*l + 3266
What is the o'th term of -1504, -1534, -1584, -1654?
-10*o**2 - 1494
What is the z'th term of -367, -453, -531, -601?
4*z**2 - 98*z - 273
What is the o'th term of 859204, 859182, 859140, 859072, 858972, 858834?
-o**3 - 4*o**2 - 3*o + 859212
What is the i'th term of -137, -436, -929, -1628, -2545, -3692, -5081?
-2*i**3 - 85*i**2 - 30*i - 20
What is the g'th term of 233053, 466100, 699147, 932194?
233047*g + 6
What is the f'th term of -1435, -1459, -1483, -1507?
-24*f - 1411
What is the s'th term of -155, -351, -705, -1217, -1887, -2715?
-79*s**2 + 41*s - 117
What is the v'th term of 2987, 5985, 8991, 12005?
4*v**2 + 2986*v - 3
What is the q'th term of 767, 1575, 2481, 3533, 4779, 6267?
8*q**3 + q**2 + 749*q + 9
What is the i'th term of -44, -370, -976, -1862?
-140*i**2 + 94*i + 2
What is the k'th term of 3137, 3136, 3133, 3128?
-k**2 + 2*k + 3136
What is the b'th term of 426, 910, 1394, 1878, 2362, 2846?
484*b - 58
What is the u'th term of -10196, -10183, -10166, -10145?
2*u**2 + 7*u - 10205
What is the b'th term of -6532, -6548, -6564, -6580, -6596?
-16*b - 6516
What is the t'th term of -1296, -3818, -8014, -13878, -21404, -30586, -41418, -53894?
t**3 - 843*t**2 - 454
What is the x'th term of 5282, 21072, 47390, 84236, 131610, 189512?
5264*x**2 - 2*x + 20
What is the w'th term of -1322, -1230, -1138, -1046, -954?
92*w - 1414
What is the r'th term of 241, 321, 387, 433, 453, 441?
-r**3 - r**2 + 90*r + 153
What is the c'th term of -80, -146, -174, -146, -44?
3*c**3 + c**2 - 90*c + 6
What is the i'th term of -303, 181, 1487, 4023, 8197, 14417?
68*i**3 + 3*i**2 - i - 373
What is the q'th term of 67, 119, 231, 433, 755, 1227, 1879?
5*q**3 + 17*q + 45
What is the l'th term of 826, 1691, 2554, 3409, 4250, 5071?
-l**3 + 5*l**2 + 857*l - 35
What is the m'th term of 22, -735, -2798, -6821, -13458, -23363, -37190?
-109*m**3 + m**2 + 3*m + 127
What is the i'th term of 2313, 2370, 2451, 2556, 2685, 2838?
12*i**2 + 21*i + 2280
What is the h'th term of -166, -1483, -5100, -12181, -23890, -41391?
-194*h**3 + 14*h**2 - h + 15
What is the f'th term of 226, 327, 248, -101, -810, -1969, -3668, -5997?
-15*f**3 + 206*f + 35
What is the f'th term of -12290, -24576, -36856, -49130?
3*f**2 - 12295*f + 2
What is the c'th term of -945, -3719, -8343, -14817, -23141, -33315, -45339?
-925*c**2 + c - 21
What is the u'th term of 119635, 239268, 358901, 478534?
119633*u + 2
What is the i'th term of 3617, 3646, 3675, 3704?
29*i + 3588
What is the p'th term of -432, -760, -1088, -1416?
-328*p - 104
What is the f'th term of 761, 2101, 3441, 4781, 6121, 7461?
1340*f - 579
What is the z'th term of -5, -124, -493, -1238, -2485, -4360?
-21*z**3 + z**2 + 25*z - 10
What is the q'th term of -33, -24, -9, 18, 63, 132, 231?
q**3 - 3*q**2 + 11*q - 42
What is the l'th term of 949, 1915, 2881, 3847, 4813, 5779?
966*l - 17
What is the b'th term of 29376, 58755, 88134, 117513, 146892?
29379*b - 3
What is the u'th term of 41316, 82633, 123950, 165267, 206584, 247901?
41317*u - 1
What is the b'th term of 1096552, 1096559, 1096582, 1096627, 1096700, 1096807, 1096954, 1097147?
b**3 + 2*b**2 - 6*b + 1096555
What is the m'th term of 15813, 15785, 15739, 15675, 15593, 15493?
-9*m**2 - m + 15823
What is the n'th term of -1664, -5820, -12756, -22478, -34992?
-n**3 - 1384*n**2 + 3*n - 282
What is the l'th term of -725, -1415, -2105, -2795, -3485?
-690*l - 35
What is the t'th term of -222, -303, -378, -453, -534?
-t**3 + 9*t**2 - 101*t - 129
What is the f'th term of 3911, 7817, 11723, 15629, 19535, 23441?
3906*f + 5
What is the b'th term of 4247, 8507, 12767, 17027?
4260*b - 13
What is the h'th term of 81, -33, -351, -975, -2007, -3549, -5703, -8571?
-17*h**3 + 5*h + 93
What is the d'th term of 445, 1973, 4583, 8275?
541*d**2 - 95*d - 1
What is the p'th term of -9339, -18667, -27995, -37323, -46651,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let p(g) = 1. Let q(j) = -2*j**2 + 2*j - 7. Suppose 0 = -0*c - 4*c + 8. Suppose 7*i - c*i - 30 = 0. Calculate i*p(r) + q(r).
-2*r**2 + 2*r - 1
Let j(n) = 8*n**3 + 3*n**2 - 3*n + 1. Let u(g) = -9*g**3 - 4*g**2 + 4*g - 2. Determine 4*j(q) + 3*u(q).
5*q**3 - 2
Let t(y) = -8*y. Let j be ((-2)/3)/(4/6). Let k(f) = 7*f - 9. Let l(w) = -3*w + 4. Let a(q) = 4*k(q) + 9*l(q). Determine j*t(b) - 6*a(b).
2*b
Let q(o) = -o**2 + 3*o + 9. Let t be 3 + -1 + 3*-3. Let r be -5 - t - 1*-3. Let u(n) = 2*n**2 - 5*n - 14. Calculate r*u(c) + 8*q(c).
2*c**2 - c + 2
Suppose -4*f = -4*n - 0*n + 32, 7 = f + 2*n. Let p(s) = -4*s**3 + 10*s**2 + 10. Let k(h) = -h**3 + 3*h**2 + 3. Give f*p(w) + 10*k(w).
2*w**3
Let c(y) be the third derivative of y**4/4 + 4*y**3/3 - y**2. Let u(t) = 15*t + 19. Let l(i) = 8*i + 10. Let z(f) = 5*l(f) - 3*u(f). What is -6*c(b) - 7*z(b)?
-b + 1
Let l(n) = 2943*n + 72. Let f(c) = 203*c + 5. What is 72*f(j) - 5*l(j)?
-99*j
Let r(y) = -y**2 + 2*y - 3*y**2 + y**2 - y**2 - 1. Let z(g) = 5*g**2 + 2 - g**2 - 5*g + 7*g**2. Calculate -8*r(u) - 3*z(u).
-u**2 - u + 2
Let n(g) = 0*g**2 - 5*g + 3*g**2 + 6 + 0*g**2 - 4. Let l(w) = w**2 - 2*w + 1. Give 10*l(t) - 4*n(t).
-2*t**2 + 2
Let x(b) = -b**3 - 1. Let t(y) = y**3 + 6*y**2 + 2. Calculate t(i) + 2*x(i).
-i**3 + 6*i**2
Let v(f) = f + 3. Let s(w) = -w - 1. Let i(y) = -2*s(y) - v(y). Let l(z) = 4*z - 4. Calculate -18*i(m) + 4*l(m).
-2*m + 2
Let k be (-21 + -1)*7/(-14). Suppose 0*o + 5*d = o + k, 3*o + 20 = 2*d. Let i(f) = 8*f**2 - 6. Let u(b) = -7*b**2 + 5. Calculate o*u(t) - 5*i(t).
2*t**2
Let k(z) = -z**3 + z**2 - 1. Let w(n) = -3*n**3 + 2*n**2 + n - 1. Give -2*k(u) + w(u).
-u**3 + u + 1
Let j(m) = -m**2 - m - 2. Let o(z) = -1. Let u = -1 - -2. Suppose 2*v - 3 = u. Calculate v*o(a) - j(a).
a**2 + a
Let p(r) = 3*r**2 - 6*r**2 + 3*r**2 + r - r**2. Let n(q) = 4*q**2 - q - 2. Give n(k) + 3*p(k).
k**2 + 2*k - 2
Let v(l) = -8*l + 6. Let u(q) = 105*q - 77. Determine -6*u(o) - 77*v(o).
-14*o
Let u(i) = -4*i**3 - 6*i**2 + 4*i - 1. Let n(j) = 17*j**3 + 25*j**2 - 17*j + 4. What is -6*n(r) - 26*u(r)?
2*r**3 + 6*r**2 - 2*r + 2
Let t(i) = 4*i + 1. Let u(x) = 3*x + 1. Let c(f) = 2*t(f) - 3*u(f). Let g(y) = 3. Suppose -a = -0*k + 2*k - 7, k = -2*a + 11. Calculate k*g(s) + 2*c(s).
-2*s + 1
Let b(k) be the second derivative of 2*k**3/3 - 4*k**2 + k. Let o(z) be the third derivative of -z**4/24 + z**3/3 - 24*z**2. Calculate -2*b(m) - 9*o(m).
m - 2
Let y(b) = 7*b**2 - 6*b. Let c(o) = 78*o**2 - 65*o. Determine -6*c(s) + 65*y(s).
-13*s**2
Let y(r) = -2*r - 5. Let c(t) = -5*t - 9. Determine -3*c(g) + 5*y(g).
5*g + 2
Let o(j) = 3*j - 3. Let s(h) = 4*h - 4. Give -6*o(c) + 5*s(c).
2*c - 2
Let z(k) = -3*k + 2. Let m(n) = -n + 1. Let u be ((-1)/(-2))/(6/60). Give u*m(o) - 2*z(o).
o + 1
Let n(j) = 3*j. Let v(t) = -6*t. Give 14*n(o) + 6*v(o).
6*o
Let a(q) = -10*q - 11*q + 16*q - 3. Let r(h) = 2*h + 1. Calculate 4*a(g) + 11*r(g).
2*g - 1
Let y(k) = -k**2 + k + 1. Let s(p) = 1. Give s(o) + y(o).
-o**2 + o + 2
Let r(u) = 2*u + 5. Let p(s) = -3*s + 3. Let c be p(2). Let i(y) = 1. Let x(j) = -3*j - 9. Let l(k) = 3*i(k) + x(k). Determine c*l(a) - 4*r(a).
a - 2
Let q(t) = t + 1. Let a(z) = 3*z**3 + 4*z + 4. Determine a(n) - 4*q(n).
3*n**3
Let u(d) = -d. Let b(x) = 4*x. Let z(l) = -b(l) - 3*u(l). Let c(q) = 2*q**3 - q. Give -3*c(p) + 3*z(p).
-6*p**3
Let p(z) = -z**3 - z**2 + z. Let y(q) = q + 4. Let b be y(-4). Suppose 4*f - 9*f - 25 = b. Let r(a) = 6*a**3 + 3*a**2 - 6*a. Calculate f*p(t) - r(t).
-t
|
{
"pile_set_name": "DM Mathematics"
}
|
e in fourty-three quarters of a micrometer?
10750
How many kilograms are there in nineteen quarters of a tonne?
4750
How many nanometers are there in thirteen quarters of a micrometer?
3250
What is 7/2 of a tonne in kilograms?
3500
How many micrograms are there in 7.659201g?
7659201
How many meters are there in 1/4 of a kilometer?
250
What is 11/2 of a millisecond in microseconds?
5500
How many nanograms are there in 0.9869495 tonnes?
986949500000000
How many centimeters are there in 3/8 of a kilometer?
37500
Convert 61774.07 centuries to years.
6177407
What is 7529.919 grams in micrograms?
7529919000
What is 3/8 of a meter in millimeters?
375
How many kilometers are there in 0.4025306 centimeters?
0.000004025306
How many millilitres are there in one tenth of a litre?
100
How many milliseconds are there in 1127.19 seconds?
1127190
How many years are there in 3/5 of a millennium?
600
How many micrograms are there in 1/10 of a gram?
100000
Convert 83012.91ml to litres.
83.01291
Convert 990.887mm to nanometers.
990887000
What is eighteen fifths of a century in months?
4320
What is 764.089cm in nanometers?
7640890000
Convert 79788.5 millimeters to kilometers.
0.0797885
How many decades are there in 0.9357095 millennia?
93.57095
How many nanograms are there in 53.3858 grams?
53385800000
How many meters are there in 80082.16nm?
0.00008008216
Convert 0.3628642 days to hours.
8.7087408
What is 21.80195 meters in micrometers?
21801950
How many milligrams are there in 3/5 of a gram?
600
What is one tenth of a microgram in nanograms?
100
How many centimeters are there in 0.3707195m?
37.07195
Convert 95.50152ml to litres.
0.09550152
What is 17/4 of a decade in months?
510
How many millilitres are there in 29/2 of a litre?
14500
What is 0.2680433ug in kilograms?
0.0000000002680433
How many centuries are there in 5.335941 millennia?
53.35941
How many months are there in 1/6 of a century?
200
How many kilograms are there in thirty-one fifths of a tonne?
6200
What is 11/4 of a millimeter in micrometers?
2750
How many grams are there in fifty-one halves of a kilogram?
25500
Convert 495276.7 centimeters to kilometers.
4.952767
What is 66.68347g in micrograms?
66683470
What is fifty-one quarters of a kilogram in grams?
12750
How many years are there in 1.1575608 months?
0.0964634
What is one quarter of a meter in millimeters?
250
What is 1519.723 millilitres in litres?
1.519723
How many millilitres are there in 314110.6l?
314110600
How many months are there in 88311.27 millennia?
1059735240
What is 19/4 of a millennium in years?
4750
What is three tenths of a litre in millilitres?
300
What is 30.12947 millennia in months?
361553.64
How many millilitres are there in seventeen halves of a litre?
8500
How many millilitres are there in 71/4 of a litre?
17750
What is 0.6283157mm in centimeters?
0.06283157
What is 13/5 of a litre in millilitres?
2600
How many years are there in 13/4 of a millennium?
3250
What is seven eighths of a hour in seconds?
3150
How many weeks are there in 5.2085656 days?
0.7440808
What is 0.320796s in nanoseconds?
320796000
What is 8353.142 weeks in milliseconds?
5051980281600
What is 9/10 of a day in seconds?
77760
Convert 53855.9nm to micrometers.
53.8559
How many nanograms are there in 1/10 of a milligram?
100000
Convert 67.25676 decades to centuries.
6.725676
How many seconds are there in 52/3 of a minute?
1040
How many centimeters are there in 170.6094nm?
0.00001706094
Convert 0.4427622 millennia to centuries.
4.427622
Convert 0.528721 kilometers to micrometers.
528721000
How many millilitres are there in thirty-one fifths of a litre?
6200
What is 2/125 of a litre in millilitres?
16
What is 88.315059 hours in weeks?
0.525684875
Convert 8795.292ns to microseconds.
8.795292
How many micrograms are there in fifteen quarters of a milligram?
3750
How many years are there in 386606.1 centuries?
38660610
Convert 221.0699l to millilitres.
221069.9
What is 172605.4785 milliseconds in weeks?
0.00028539265625
How many tonnes are there in 3048.935 grams?
0.003048935
How many seconds are there in 2/75 of a day?
2304
What is one fifth of a micrometer in nanometers?
200
What is twenty-nine thirds of a decade in months?
1160
How many meters are there in six fifths of a kilometer?
1200
What is 7/2 of a millisecond in microseconds?
3500
How many seconds are there in 9/25 of a hour?
1296
Convert 27160.3l to millilitres.
27160300
How many litres are there in 578.538 millilitres?
0.578538
What is twenty-seven quarters of a kilometer in meters?
6750
What is 887608.3 weeks in seconds?
536825499840
How many months are there in thirty-two fifths of a millennium?
76800
How many hours are there in 3/56 of a week?
9
What is 5674.676 millennia in months?
68096112
What is 352889.8 days in milliseconds?
30489678720000
How many minutes are there in thirteen quarters of a hour?
195
What is 29/5 of a litre in millilitres?
5800
What is 3/8 of a millimeter in micrometers?
375
What is fourty-two fifths of a minute in seconds?
504
What is one quarter of a century in years?
25
How many decades are there in three tenths of a century?
3
How many micrograms are there in eleven halves of a milligram?
5500
What is fourty-three thirds of a hour in seconds?
51600
What is 3/25 of a meter in millimeters?
120
How many millilitres are there in 6/25 of a litre?
240
How many nanometers are there in 3/5 of a micrometer?
600
What is 344.3467m in millimeters?
344346.7
What is 74/7 of a week in hours?
1776
What is 1/6 of a week in minutes?
1680
How many millilitres are there in eighty-seven halves of a litre?
43500
Convert 294497.7cm to kilometers.
2.944977
How many decades are there in 1/5 of a millennium?
20
What is fifteen quarters of a hour in minutes?
225
What is 23/6 of a day in minutes?
5520
How many milligrams are there in 20419.57 kilograms?
20419570000
What is 2456.939 micrometers in meters?
0.002456939
Convert 22757.69mm to nanometers.
22757690000
How many millilitres are there in 11/8 of a litre?
1375
What is fourty-nine fifths of a hour in seconds?
35280
Convert 66374.1 months to centuries.
55.31175
What is 54230.2 kilometers in centimeters?
5423020000
What is one fifth of a gram in milligrams?
200
How many seconds are there in two fifteenths of a minute?
8
How many seconds are there in thirteen fifths of a minute?
156
How many minutes are there in 15/4 of a day?
5400
How many months are there in 9449.926 millennia?
113399112
How many
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 2 - (-115 + 122)
-10
What is -4 - 16 - (-556 + 547)?
-11
What is -18 + 5 - (42 + -68)?
13
Evaluate 8 - ((4 - 7 - 1) + -3 + 3).
12
Evaluate (-17 - 43) + (22 - -8).
-30
What is 5 - (-20 + 6 + -4)?
23
-4 - (5 + -6) - (6 - 6 - -4)
-7
4 + 2 - (45 - 49)
10
Evaluate (42 - 19) + 2 + -12.
13
What is the value of (12 - 21 - -10) + -14 + 8 - -6?
1
(-35 + 17 - -15 - (1 + -15)) + -28
-17
Calculate (-1 - (6 - (6 - 14))) + 46.
31
6 - (121 + -112 - (6 + 1))
4
Evaluate 29 - (-1 + (9 - 2 - -2)).
21
Calculate -10 + (-119 - -112) + (6 - -2).
-9
What is -17 + (37 - (21 - 17)) - 12?
4
Calculate -5 + 10 + -6 + 3 + 3 + -3.
2
Calculate 7 + -2 + -14 + 14.
5
What is the value of -6 - (6 - (11 - 7 - 7))?
-15
What is the value of -1 - ((-18 - -39) + -4)?
-18
-5 + (-8 - 0 - -10) + 4
1
What is the value of 14 + -17 + (11 - -4 - 6)?
6
(-10 + -3 - -8) + -14 - -16
-3
What is the value of (0 - 4) + (-7 - -38) + -29?
-2
Calculate 5 + 0 + 5 + (-2 - 8) + -15.
-15
Calculate 0 + 2 - -6 - (41 - 37).
4
Calculate 3 - ((1 - -4) + -34 + 31 + 4).
-3
Calculate (-1 - (-5 - 1)) + (91 - 121) + -9.
-34
-5 - ((-5 - 6) + 10 - 12)
8
What is 45 + -10 + 26 + -58?
3
Calculate 1 + -1 - (16 + 0).
-16
Calculate -5 - 0 - (82 + -91).
4
What is the value of -27 + 12 + 40 - 14?
11
What is -7 + -5 + 29 + -12?
5
What is the value of 112 - 140 - (-40 + 7)?
5
What is the value of 22 + (4 - 2) + -2 - (95 + -92)?
19
What is -59 - (1 + -24) - -10?
-26
What is -37 + -25 + 54 - (3 - 0 - 6)?
-5
What is 1 + (-1 + 9 + 21 + -34 - -19)?
15
What is 25 - (13 - (7 + 13))?
32
What is the value of -15 + 2 + 13 + -6?
-6
What is (6 + (9 - 3) - -5) + 1?
18
What is the value of 53 + 0 + 223 + -224 - 11 - 5?
36
What is the value of 13 + (-12 + 18 - (-4 + 11 + -4))?
16
What is (7 - 3 - 3) + (3 - (25 + 4))?
-25
What is 3 + -19 + (-11 + 14 - 5)?
-18
What is -1 + -2 + (0 - -5) - -9?
11
15 + 1 - (2 + -3 - -5)
12
Evaluate -10 + 5 - (-3 - (-1 - 7)).
-10
(3 - -2) + 11 - 1
15
1 - (1 - 6 - -8) - -5
3
Calculate -12 + 16 + -9 - (-1 - 6) - 5.
-3
Evaluate (5 - 0) + (1 - 1) + -17 + 10.
-2
18 + -1 + (18 - 28)
7
38 + -45 + (22 - 6)
9
What is -47 + 19 + 17 - 17?
-28
What is the value of 1 - -2 - (2 + 2 - (94 + -102))?
-9
What is -7 + (0 - -6) + (-5 - (-2 + 5))?
-9
Evaluate 12 + (-3 + -1 - (-131 - -127)).
12
Evaluate 16 + -11 - (11 - (1 + -3)) - -42.
34
Calculate 3 - (-1 - 0) - (-1105 + 1119).
-10
What is the value of 21 + 2 + -4 + 0 + -9?
10
57 - (4 + (-33 - -58))
28
Calculate (11 - 0) + (-11 - (-6 + 1)).
5
3 + -5 + -4 + -2 + 6
-2
What is 2 + -8 - -3 - (1 + 4)?
-8
Evaluate -18 + 7 + -2 + (-5 - -4).
-14
What is the value of 1 + 6 + 6 + -13?
0
Evaluate -35 + 41 - ((0 - 3) + 21 + -1).
-11
What is the value of -6 - (11 - (9 - -6 - -6))?
4
-4 + 0 + (-2 - -2) - (544 + -557)
9
What is the value of -9 - (-13 + (7 - 14) + 7)?
4
5 + 2 - ((-12 - -19) + (1 - -11))
-12
Calculate 7 - 2 - -24 - (2 - -14).
13
What is (-6 - -1) + -2 + 2 + 0 + 0?
-5
What is the value of (5 - (-7 + 7) - 10) + -1?
-6
What is the value of -56 + 24 + -24 + 35?
-21
What is the value of 16 - 16 - 18 - -11?
-7
What is the value of 34 - (35 + -6 - -2)?
3
Calculate 1 - -3 - (-48 + 20 + 59).
-27
What is (-50 - -50) + (-2 - -37) + 0?
35
-19 + 30 + 31 - 24
18
What is the value of -9 - (-6 + -4) - -3?
4
Evaluate 15 - 33 - (-5 - 7 - -6).
-12
Calculate (-2 - 2) + -1 + -9 + (1 - -9).
-4
Calculate -1 - (8 + 8) - (-2 + 10 - -2).
-27
What is 4 + 2 + (-11 - (-2 + -12))?
9
What is (-5 - -33) + -32 + -25?
-29
10 + (-16 - (4 - 5)) - -14
9
Evaluate -4 - 0 - (18 - 27 - -5) - 26.
-26
Evaluate (14 - 12 - -3) + -10.
-5
What is the value of 23 + (54 + -25 - 39)?
13
What is the value of -3 - ((-1 - 17) + 13)?
2
Evaluate (2 - 5 - -18) + -34 + 34.
15
What is the value of -7 + 25 + -10 + -20 - -7?
-5
What is the value of (0 - (39 + -4)) + -22 + 34?
-23
What is the value of -89 + 85 - (-7 - 2 - 2)?
7
Calculate -20 + (-7 - (-11 + -5)) + -18.
-29
What is (4 - (-2 + -3 + 11) - -25) + 10?
33
What is (0 - 6) + (-29 - (-57 - -36))?
-14
What is the value of 0 - -8 - 1 - (19 + (-18 - -21))?
-15
Evaluate -7 + -4 + -10 - 3.
-24
What is the value of (16 - -17) + -13 + -5 + -3?
12
12 + (-1 + -7 - -3) + -11
-4
Calculate -8 + 17 + -8 - -2.
3
-6 - (331 + -333 + (0 - (-2 - -34)))
28
Calculate -35 - -41 - (7 + -23 + 1).
21
17 + (-2 + 12 - 18) - (1 - 0)
8
Evaluate 27 -
|
{
"pile_set_name": "DM Mathematics"
}
|
53, 118993?
-w**3 + 3312*w**2 - w - 17
What is the u'th term of -5673, -5653, -5633, -5613?
20*u - 5693
What is the l'th term of -877, -3537, -7985, -14227, -22269?
-l**3 - 888*l**2 + 11*l + 1
What is the r'th term of -1372, -1056, -740, -424, -108?
316*r - 1688
What is the o'th term of -20, 16, 158, 460, 976, 1760, 2866, 4348?
9*o**3 - o**2 - 24*o - 4
What is the g'th term of -13968455, -13968456, -13968457, -13968458?
-g - 13968454
What is the i'th term of 655, 5566, 18891, 44836, 87607, 151410, 240451, 358936?
701*i**3 + i**2 + i - 48
What is the j'th term of -1367, -1369, -1371?
-2*j - 1365
What is the q'th term of 282665, 565329, 847993, 1130657?
282664*q + 1
What is the c'th term of 4261, 4196, 4135, 4078, 4025?
2*c**2 - 71*c + 4330
What is the v'th term of -542, -632, -722, -812, -902?
-90*v - 452
What is the h'th term of 4353, 4355, 4359, 4365?
h**2 - h + 4353
What is the a'th term of -61625, -61622, -61619, -61616, -61613?
3*a - 61628
What is the o'th term of -95, -120, -159, -212, -279?
-7*o**2 - 4*o - 84
What is the m'th term of 3689, 3612, 3483, 3302, 3069?
-26*m**2 + m + 3714
What is the r'th term of 12227, 48918, 110071, 195686, 305763, 440302?
12231*r**2 - 2*r - 2
What is the a'th term of -180, -254, -330, -408, -488?
-a**2 - 71*a - 108
What is the i'th term of 87, 766, 2607, 6192, 12103, 20922, 33231?
97*i**3 - i**2 + 3*i - 12
What is the s'th term of 23, 154, 555, 1382, 2791, 4938, 7979, 12070?
26*s**3 - 21*s**2 + 12*s + 6
What is the k'th term of -102, -214, -366, -576, -862, -1242, -1734, -2356?
-3*k**3 - 2*k**2 - 85*k - 12
What is the a'th term of 22491, 90187, 203025, 361011, 564151, 812451?
a**3 + 22565*a**2 - 6*a - 69
What is the x'th term of -182, -86, 74, 304, 610, 998, 1474, 2044?
x**3 + 26*x**2 + 11*x - 220
What is the f'th term of 335, 261, 137, -37, -261?
-25*f**2 + f + 359
What is the r'th term of 5910, 11816, 17722, 23628?
5906*r + 4
What is the y'th term of 42050, 42053, 42056?
3*y + 42047
What is the h'th term of -3774, -3852, -3980, -4158?
-25*h**2 - 3*h - 3746
What is the k'th term of 788, 3158, 7106, 12632, 19736, 28418?
789*k**2 + 3*k - 4
What is the q'th term of -2633, -2629, -2627, -2627, -2629?
-q**2 + 7*q - 2639
What is the l'th term of -76, -332, -694, -1114, -1544, -1936, -2242, -2414?
8*l**3 - 101*l**2 - 9*l + 26
What is the o'th term of 18948, 151541, 511436, 1212285, 2367740, 4091453, 6497076?
18942*o**3 - o**2 + 2*o + 5
What is the i'th term of 265, 1076, 2423, 4306, 6725, 9680?
268*i**2 + 7*i - 10
What is the p'th term of 1301, 2083, 3395, 5243, 7633, 10571, 14063?
p**3 + 259*p**2 - 2*p + 1043
What is the i'th term of 3381, 6767, 10153, 13539, 16925?
3386*i - 5
What is the l'th term of 67342, 67384, 67426, 67468, 67510?
42*l + 67300
What is the s'th term of 37179, 74359, 111539, 148719, 185899?
37180*s - 1
What is the c'th term of 192081, 192085, 192089, 192093, 192097, 192101?
4*c + 192077
What is the a'th term of -6186, -6220, -6254?
-34*a - 6152
What is the q'th term of -38, -248, -840, -2012, -3962?
-33*q**3 + 7*q**2 - 12
What is the o'th term of -2363, -2338, -2313, -2288?
25*o - 2388
What is the v'th term of -213788, -213786, -213786, -213788?
-v**2 + 5*v - 213792
What is the c'th term of -342, -750, -1168, -1602, -2058, -2542, -3060, -3618?
-c**3 + c**2 - 404*c + 62
What is the d'th term of 749, 788, 853, 944, 1061, 1204, 1373?
13*d**2 + 736
What is the n'th term of -185, -341, -557, -863, -1289, -1865, -2621?
-5*n**3 - 121*n - 59
What is the j'th term of -133462, -266937, -400414, -533893, -667374, -800857, -934342?
-j**2 - 133472*j + 11
What is the m'th term of -2726, -10942, -24634, -43802, -68446?
-2738*m**2 - 2*m + 14
What is the u'th term of 1343, 2607, 3871?
1264*u + 79
What is the o'th term of 1831, 7260, 16297, 28948, 45219, 65116?
o**3 + 1798*o**2 + 28*o + 4
What is the w'th term of -1127, -1248, -1449, -1730, -2091, -2532?
-40*w**2 - w - 1086
What is the h'th term of -207322, -207321, -207320, -207319?
h - 207323
What is the k'th term of 31, 99, 195, 319?
14*k**2 + 26*k - 9
What is the o'th term of -1366, -1216, -812, -28, 1262, 3184?
21*o**3 + o**2 - 1388
What is the c'th term of 104107, 104112, 104115, 104116, 104115, 104112?
-c**2 + 8*c + 104100
What is the v'th term of 1846544, 1846543, 1846542?
-v + 1846545
What is the o'th term of -70
|
{
"pile_set_name": "DM Mathematics"
}
|
2*k**2 - 1 wrt r?
-8778*d*k**2 - 12*d*r - 594*d
Find the second derivative of -3*m**4 - 15338*m**3 - 4*m**2 + 51547757*m wrt m.
-36*m**2 - 92028*m - 8
Find the second derivative of -a**4 - 44447*a**3 + 339*a**2 - 136534852*a wrt a.
-12*a**2 - 266682*a + 678
What is the third derivative of -382258543*g**5 + g**2 - 10353*g - 373?
-22935512580*g**2
Find the third derivative of 42452515*x**4 - 21993191*x**2 wrt x.
1018860360*x
What is the derivative of 9449*l**2 - 2263*l - 67578827 wrt l?
18898*l - 2263
What is the second derivative of 273*j**2*t**3 - 38*j**2*t**2 + j**2*t - 9*j**2 - 14*j*t**2 + 540*j*t + 2*t**3 - 2*t wrt j?
546*t**3 - 76*t**2 + 2*t - 18
What is the first derivative of 242*d**2 + 138*d*u**3 - 23*d*u + 69971272*u**3 wrt d?
484*d + 138*u**3 - 23*u
What is the third derivative of -223510372*r**4 + 21*r**2 + 2*r + 89755 wrt r?
-5364248928*r
Find the second derivative of -104230863*m**3 - 802765*m - 49.
-625385178*m
What is the first derivative of 4470760*z**3 + 6408453?
13412280*z**2
What is the third derivative of 106294521*o**3 + 67*o**2 - 15739*o - 3 wrt o?
637767126
What is the third derivative of 44890133*a**3 - 56*a**2 + 88996*a?
269340798
What is the third derivative of r**4*s + 319219*r**3*s + r**2*s - 45*r**2 + 11831*r - 4*s wrt r?
24*r*s + 1915314*s
Find the third derivative of 347701*s**3 + 5336491*s**2 wrt s.
2086206
Find the second derivative of 66*d**2*p**2 - 1694*d**2*p + 192*d*p - d - 5274*p**5 wrt p.
132*d**2 - 105480*p**3
What is the second derivative of 31281*c**2*r**3 - 43*c**2*r**2 + 5*c**2 + 3502*c*r**3 - 2*c*r + 3*c + 55*r**3 - 20*r**2 wrt c?
62562*r**3 - 86*r**2 + 10
What is the third derivative of 215*d**5 + 134629*d**3 + 211164818*d**2?
12900*d**2 + 807774
Find the first derivative of -13687281*s - 10505352.
-13687281
Find the third derivative of 4020*v**4 - 16025*v**3 - 21*v**2 - 4528*v + 89 wrt v.
96480*v - 96150
What is the derivative of -558770266*o + 317566303?
-558770266
What is the second derivative of -2*l**3 + 20055532*l**2 + 8*l - 1845467 wrt l?
-12*l + 40111064
What is the first derivative of -22364799*m**2 - 187508249 wrt m?
-44729598*m
What is the third derivative of 43588297*a**3 + 3*a**2 + 808433*a + 12?
261529782
Find the first derivative of 7303406*m**2*q - 2*m**2 + 52541*q wrt m.
14606812*m*q - 4*m
What is the first derivative of -5723285*k**4*t**3 + 5*t**3 - 684332*t**2 wrt k?
-22893140*k**3*t**3
Find the second derivative of -2*h**4 + 6*h**3 - 2308554*h**2 - 34333417*h.
-24*h**2 + 36*h - 4617108
What is the derivative of -72*p**2*x*y + 455*p**2 - 28*p*x + 28*x + 4276*y**2 wrt y?
-72*p**2*x + 8552*y
What is the second derivative of -4776604*g*w**4 + 6568*g*w - 3*w**4 + 2*w**2 + 335*w wrt w?
-57319248*g*w**2 - 36*w**2 + 4
Find the first derivative of -167*s*w**2 - 130*s*w - 10664235*s - 19*w**2 wrt w.
-334*s*w - 130*s - 38*w
What is the second derivative of i**2*q**2*w + 4*i**2*q*w - 3*i**2*w + i**2 - 373*i*q**2*w + 3*i - q**2*w - 84*q**2 + 14*q*w - 1202*q wrt q?
2*i**2*w - 746*i*w - 2*w - 168
What is the derivative of 517*j*v*y + 14979*j*v - 23613*j*y - 128*v wrt y?
517*j*v - 23613*j
Differentiate 26863199*a*q**2 - 224*q**2 - 140864*q wrt a.
26863199*q**2
Find the first derivative of 12224247*u**3 - 9315509.
36672741*u**2
Differentiate 72440*i**2*p - 461*i*p - 473059376*p with respect to i.
144880*i*p - 461*p
Find the first derivative of 9439055*c - 6391840.
9439055
Find the second derivative of -122008876*p**4 - 7282*p - 86.
-1464106512*p**2
Find the third derivative of -7*b*g**3*o**4 + 35*b*g**3*o**2 + 53684*b*g**3 - 42310*b*o**4 - 2*o**2 wrt o.
-168*b*g**3*o - 1015440*b*o
What is the derivative of 4*c*d - 8468545*c - 220101794*d wrt c?
4*d - 8468545
Find the first derivative of -67*k**4 - 7575*k**3 - 7*k**2 - 2101204 wrt k.
-268*k**3 - 22725*k**2 - 14*k
Find the second derivative of 96564350*q**2 + 52*q + 640768.
193128700
Find the second derivative of k**5*q - 8*k**2*q**2 + 588855*k**2 - 2*k*q - 123*k - q**2 + 2865*q - 2 wrt k.
20*k**3*q - 16*q**2 + 1177710
Find the third derivative of -2*p**5 + 16774935*p**4 + 11*p**2 + 862186*p - 2.
-120*p**2 + 402598440*p
Find the second derivative of -3*f**2*q*s**2 + 2*f**2*q*s - f**2*q + f**2*s - 41*f**2 + 21316096*f*q*s**2 - 2*f*q + 10*f*s + 17 wrt s.
-6*f**2*q + 42632192*f*q
What is the second derivative of -4*m**3 - 6892449*m**2 - 93073533*m?
-24*m - 13784898
Differentiate 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
s -12*c(h) + w(h)?
-2*h**2 + 4*h - 2
Let o(l) = l**3 + l**2 - 1. Let c(j) = 3*j**3 + 16*j**2 - 3*j - 1. Let g(x) = -4*x**3 - 36*x**2 + 7*x + 1. Let b(y) = 14*c(y) + 6*g(y). Give 3*b(k) - 24*o(k).
30*k**3
Let l(o) = 4*o + 2. Let t(k) = 28*k + 28. What is 4*l(x) - t(x)?
-12*x - 20
Let u be (-12)/(-30)*(5 - 8 - 2). Let l(s) = 1196*s**2 - 115*s - 115. Let p(k) = -21*k**2 + 2*k + 2. Calculate u*l(x) - 115*p(x).
23*x**2
Let g(o) = -o**3 + o**2 + 8. Let x(v) = -9*v**3 - 241*v**2 + 64. Determine 8*g(l) - x(l).
l**3 + 249*l**2
Let l(a) = 2*a + 26. Let d(m) = -30*m + 130. Let u(q) = 14*q - 58. Let g(c) = 6*d(c) + 13*u(c). Determine 2*g(w) - 3*l(w).
-2*w - 26
Let b(d) = -11*d - 3. Let a(p) = -795 + 794 + 0*p - 6*p. What is 7*a(o) - 4*b(o)?
2*o + 5
Let k(j) = -15. Let n(u) = 2*u - 21. Let a(o) = -3*k(o) + 2*n(o). Suppose 5*b + 0 = 10. Suppose 8 = -b*y - 12. Let s(h) = 9*h + 7. Calculate y*a(g) + 4*s(g).
-4*g - 2
Let x(o) = 143052445*o**2 - 224356*o + 448712. Let q(s) = 5101*s**2 - 8*s + 16. Determine 56089*q(v) - 2*x(v).
5099*v**2
Suppose -101*k = -106*k + 75. Let s(t) = -5*t + 5*t**2 - t - 5*t - 7 + 3*t + k*t. Let v(m) = 5*m**2 + 6*m - 6. Determine 6*s(c) - 7*v(c).
-5*c**2
Let b = -11986 - -11979. Let r(c) = -7*c**3 - 9*c**2 - 7*c + 7. Let v(o) = -3*o**3 - 5*o**2 - 4*o + 4. Determine b*v(n) + 4*r(n).
-7*n**3 - n**2
Let r(n) = 18*n**2 + 10*n + 336. Let f(p) = 13*p**2 + 8*p + 335. Determine -4*f(x) + 3*r(x).
2*x**2 - 2*x - 332
Let a(p) = 2000*p**3 + 12*p**2 + 8*p + 2. Let x(g) = -6000*g**3 - 33*g**2 - 22*g - 5. Calculate 11*a(r) + 4*x(r).
-2000*r**3 + 2
Let v(i) = -3*i**2 - 8*i - 6. Suppose -345 + 10539 = 1699*x. Suppose -2*b + 3 = -5*b. Let u(l) = -l - 1. What is b*v(d) + x*u(d)?
3*d**2 + 2*d
Let n(j) = -6*j**2 + j + 5. Let p(d) = 11*d**2 + 2*d - 32. Determine -2*n(v) + p(v).
23*v**2 - 42
Let q(p) = 19*p**2 + 8*p - 4. Let v(x) = 18*x**2 + 11*x - 5. Give -4*q(i) + 3*v(i).
-22*i**2 + i + 1
Let g(t) = -71*t**2 - 45*t + 4. Let f(a) = 36*a**2 + 27*a - 3. Let j(r) = -5*f(r) - 3*g(r). Let w(m) = 395*m**2 + 35. What is 35*j(y) - 3*w(y)?
-30*y**2
Let m be 3*(-11)/(-66)*2. Let x(l) = -l**3 + l**2 + l. Let h(b) = b**3 - 5*b**2 - 6*b. Give m*h(p) + 6*x(p).
-5*p**3 + p**2
Let z(y) = -29*y**3 - 55*y**2 + 33949*y - 11. Let t(w) = -16*w**3 - 30*w**2 + 16976*w - 6. What is -11*t(p) + 6*z(p)?
2*p**3 + 16958*p
Let z(j) be the first derivative of -3*j**2/2 - 4*j + 6. Let r = 35 - 32. Let a be (-20)/(-12)*r - 0. Let l(c) = 4*c + 5. Determine a*l(m) + 6*z(m).
2*m + 1
Let q(v) = 17*v + 291. Let c(o) = -o - 23. Determine -6*c(x) - q(x).
-11*x - 153
Let g(k) = 8*k**2 + 11*k - 263. Let m(h) = 3*h**2 + 3*h - 88. Give 2*g(v) - 7*m(v).
-5*v**2 + v + 90
Let u(k) = -7*k - 16. Let v(r) = -110*r - 250. Let x(l) = 95*u(l) - 6*v(l). Let a(d) = -d - 1. Determine 4*a(f) - x(f).
f + 16
Let t(a) = -2*a**2 - 6*a + 2. Let d(l) = -2*l**2 - 7*l + 2. Suppose -7 = 885*n - 884*n + p, -34 = n + 4*p. What is n*t(g) - 3*d(g)?
2*g**2 + 9*g - 2
Let c(h) = -8*h**2 - 2*h + 1. Let z(a) be the first derivative of -7*a**3/3 - a**2 + 2*a + 6531. Give 6*c(i) - 7*z(i).
i**2 + 2*i - 8
Let n(q) = -q**2 + 7*q - 9. Let y = 5158 + -5163. Let w(f) = -f**2 + 10*f - 13. Give y*w(o) + 7*n(o).
-2*o**2 - o + 2
Let v = -3 - -4. Let r(g) = 2*g**3 + 2*g**2 - 4*g + 2. Let u(y) = -1041526 + 3*y**3 - y + y**2 + 1041527 - 4*y**3. Calculate v*r(w) - 2*u(w).
4*w**3 - 2*w
Let j(r) = 128*r**3 - 31*r + 13. Let n(a) = 64*a**3 - 14*a + 6. Calculate -4*j(l) + 9*n(l).
64*l**3 - 2*l + 2
Let q(x) be the third derivative of -2/3*x**3 + 3*x**2 + 4 - 1/6*x**4 + 0*x
|
{
"pile_set_name": "DM Mathematics"
}
|
*o**2 - 28 - 4*o**3 - 2*o = 0. What is o?
-14, -1, 1
Suppose 11/2*u**2 + 26 - 125/4*u - 1/4*u**3 = 0. What is u?
1, 8, 13
Let f(r) be the first derivative of r**6/5 - 13*r**5/20 + r**4/4 + 3*r**3/2 - 54*r**2 - 22. Let m(y) be the second derivative of f(y). Factor m(s).
3*(s - 1)**2*(8*s + 3)
Let n be (-4 - 2) + 1 - -27. Find v such that 127*v**2 + v**5 - 14*v**3 + 120*v**2 - 10*v**4 + n - 219*v**2 + 53*v = 0.
-1, 2, 11
Let l(i) be the first derivative of 3*i**4/16 - 33*i**3 + 3267*i**2/2 + 3566. Factor l(j).
3*j*(j - 66)**2/4
Let o(s) be the third derivative of -3/11*s**3 - 1/660*s**6 - 3*s**2 + 0*s + 3/110*s**5 + 1/132*s**4 + 3. Factor o(u).
-2*(u - 9)*(u - 1)*(u + 1)/11
Determine x, given that -10*x - 78/11 + 4*x**2 + 34/11*x**4 + 2/11*x**5 + 108/11*x**3 = 0.
-13, -3, -1, 1
Let a(n) = 539*n**2 + 1615*n - 3. Let v be a(-3). Find s such that 0 + 0*s**2 + 0*s**v + s**5 - 2/5*s**4 + 0*s = 0.
0, 2/5
Let 745/4*z - 1/4*z**2 - 186 = 0. What is z?
1, 744
Let t(d) = d**2 + 7*d - 22. Let s(n) = 1 + 3*n**2 - 7*n + 8*n + 6*n**2 - 10*n**2. Let p(k) = 6*s(k) + 3*t(k). Suppose p(c) = 0. Calculate c.
4, 5
Let d be (-5 - 425/(-102))/((-51)/(-81) - 1). Let g(h) be the first derivative of 15/8*h**2 - d*h - 34 - 7/12*h**3 + 1/16*h**4. Find w, given that g(w) = 0.
1, 3
Let k(z) be the third derivative of -z**8/240 - 2*z**7/105 + z**6/6 + 16*z**5/15 + 8*z**4/5 - 7406*z**2. Suppose k(q) = 0. Calculate q.
-4, -2, -6/7, 0, 4
Let c(d) be the first derivative of -43/8*d**2 - 98 - 31/12*d**3 - 5/16*d**4 + 1/20*d**5 - 9/2*d. Factor c(g).
(g - 9)*(g + 1)**2*(g + 2)/4
Let u be 2/(4/(-112)*-14). Let y(n) be the first derivative of 0*n**2 - 1/10*n**5 - 1 + 1/6*n**3 - 1/8*n**u + 1/12*n**6 + 0*n. Factor y(j).
j**2*(j - 1)**2*(j + 1)/2
Suppose 9 - 70*h**3 + 10*h**2 - h**5 + 2*h**4 + 76*h**3 - 8*h**4 - 21*h + 3*h**4 = 0. Calculate h.
-3, 1
Let o = -5876 + 5879. Suppose -4/7*z**2 + 0*z + 0 + 2*z**o = 0. Calculate z.
0, 2/7
Let w be 1*2 - 6/3. Suppose 5*u + 43 = -528*y + 532*y, y = -4*u + 37. Solve -1/6*j**3 + w*j + 0*j**2 + 0 + 4/3*j**u + 1/3*j**4 = 0.
-1/2, 0, 1/4
Determine s so that 495/2*s - 702 - 24*s**2 + 3/8*s**3 = 0.
6, 52
Let u be 19/95*2/((-18)/(-15)). Solve -5/3*c**4 + 5/3*c**2 + 5/3*c**3 + 0 + u*c**5 - 2*c = 0 for c.
-1, 0, 1, 2, 3
Let r(u) = -u**3 - 16*u**2 - 17*u - 28. Let y be r(-15). Solve -b**y - 4 + 0*b**2 - 103*b + 98*b = 0 for b.
-4, -1
Let r(n) be the third derivative of -n**7/70 + 31*n**6/40 - 43*n**5/10 + 7*n**4 - 1457*n**2. Factor r(c).
-3*c*(c - 28)*(c - 2)*(c - 1)
Let s = -15 + -12. Let m = -23 - s. Factor -1 - j - m*j**2 + 9*j - 2 - 1.
-4*(j - 1)**2
Let m(k) be the first derivative of k**3/9 - 13*k**2/3 + 25*k/3 + 1336. Find f, given that m(f) = 0.
1, 25
Let g(v) be the second derivative of -v**4/21 - 24*v**3/7 - 64*v**2 + 221*v. Factor g(h).
-4*(h + 8)*(h + 28)/7
Let s(l) be the third derivative of -3*l**2 + 180*l**3 - 1125/2*l**4 - 15625/24*l**6 + 6*l + 0 + 1875/2*l**5. Factor s(b).
-5*(25*b - 6)**3
Factor -584/3*f + 800/3 - 212/3*f**2 - 4/3*f**3.
-4*(f - 1)*(f + 4)*(f + 50)/3
Let l(i) = -i**5 - 8*i**4 + 89*i**2 + 127*i + 48. Let f(o) = -10*o**4 - 2*o**3 + 88*o**2 + 126*o + 48. Let y(x) = -3*f(x) + 2*l(x). Factor y(u).
-2*(u - 6)*(u - 4)*(u + 1)**3
Suppose 419 = -3*a + 431. Let y be (4 + -1 + 0)/1. Determine l, given that 54*l**4 - 2*l**5 - a*l**3 - 27*l**4 - 31*l**4 + 2*l**y = 0.
-1, 0
Let d(c) = 34*c**2 + 77*c + 39. Let q(g) = -3*g - 18*g**2 - 20 - 19*g - 23*g + 7*g. Let w(f) = -6*d(f) - 11*q(f). Factor w(y).
-2*(y + 7)*(3*y + 1)
Suppose -10*t - 5 + 5 = -76*t. Let l(z) be the second derivative of -1/48*z**3 + 0 - 8*z + t*z**2 - 1/96*z**4. Let l(y) = 0. What is y?
-1, 0
Let -2/9*a**2 + 142/9*a - 896/9 = 0. What is a?
7, 64
Let b(v) be the third derivative of -1/180*v**5 + 7/72*v**4 + 174*v**2 - 5/9*v**3 + 0*v + 0. Factor b(m).
-(m - 5)*(m - 2)/3
Let f(v) = -1497*v + 12
|
{
"pile_set_name": "DM Mathematics"
}
|
there in 67/5 of a millennium?
1340
How many millilitres are there in fourty-five eighths of a litre?
5625
What is fifty-one fifths of a litre in millilitres?
10200
What is 3/32 of a millennium in months?
1125
How many nanograms are there in 7/8 of a microgram?
875
What is 4/15 of a minute in seconds?
16
Convert 3445.727 milliseconds to microseconds.
3445727
What is 0.0429158ug in kilograms?
0.0000000000429158
What is seven halves of a millennium in centuries?
35
How many nanograms are there in 69171.96 milligrams?
69171960000
How many centuries are there in 55/2 of a millennium?
275
How many centuries are there in 8967.933 millennia?
89679.33
How many nanograms are there in 74/5 of a microgram?
14800
How many milliseconds are there in five eighths of a minute?
37500
How many nanograms are there in 8506.64kg?
8506640000000000
What is seven quarters of a millimeter in micrometers?
1750
What is 33/5 of a meter in millimeters?
6600
What is 9517.93t in micrograms?
9517930000000000
How many years are there in twenty-nine halves of a century?
1450
What is one tenth of a centimeter in millimeters?
1
Convert 29573.847 hours to days.
1232.243625
What is 135834.8 kilometers in nanometers?
135834800000000000
What is 8.333197ml in litres?
0.008333197
How many seconds are there in 16/15 of a hour?
3840
How many millilitres are there in six fifths of a litre?
1200
Convert 407406.7 decades to months.
48888804
What is 0.170753 days in minutes?
245.88432
How many centimeters are there in seven eighths of a kilometer?
87500
How many litres are there in 9097.227ml?
9.097227
What is 0.7224587 millilitres in litres?
0.0007224587
How many millimeters are there in 19.6839um?
0.0196839
What is 3296.755g in micrograms?
3296755000
What is 59/4 of a minute in seconds?
885
Convert 199905.96 microseconds to minutes.
0.003331766
How many millilitres are there in one quarter of a litre?
250
How many centimeters are there in 9.010579 kilometers?
901057.9
What is five eighths of a kilometer in centimeters?
62500
Convert 36.69729 kilograms to micrograms.
36697290000
Convert 0.820253t to kilograms.
820.253
How many millilitres are there in 7/4 of a litre?
1750
Convert 18.8524 millilitres to litres.
0.0188524
Convert 131638.5ml to litres.
131.6385
How many milliseconds are there in one twentieth of a minute?
3000
How many micrometers are there in 11/4 of a centimeter?
27500
Convert 380.9217ml to litres.
0.3809217
What is one fifth of a litre in millilitres?
200
What is 13/8 of a millennium in years?
1625
Convert 301782.3g to tonnes.
0.3017823
Convert 262064.2um to kilometers.
0.0002620642
How many minutes are there in 13/8 of a day?
2340
What is 13/4 of a litre in millilitres?
3250
What is 97.19903 millilitres in litres?
0.09719903
How many months are there in 6/5 of a decade?
144
What is 1/5 of a millimeter in micrometers?
200
How many millilitres are there in 1/10 of a litre?
100
How many millilitres are there in fifty-three quarters of a litre?
13250
How many minutes are there in one eighteenth of a day?
80
How many minutes are there in sixty-two thirds of a day?
29760
How many micrometers are there in 27/5 of a millimeter?
5400
What is one tenth of a litre in millilitres?
100
What is 1/24 of a day in hours?
1
What is twenty-six fifths of a meter in centimeters?
520
How many seconds are there in 59/4 of a hour?
53100
How many litres are there in 182.2175ml?
0.1822175
How many millilitres are there in 65723.11l?
65723110
What is 1/5 of a millimeter in micrometers?
200
How many nanometers are there in twenty-seven halves of a micrometer?
13500
How many months are there in one sixteenth of a century?
75
What is 0.800271cm in micrometers?
8002.71
What is 5/4 of a millennium in years?
1250
What is three fifths of a millennium in decades?
60
What is twenty-one eighths of a litre in millilitres?
2625
Convert 91488.3 meters to kilometers.
91.4883
What is 52.5360402 minutes in weeks?
0.00521190875
How many microseconds are there in 3/8 of a millisecond?
375
What is 3/8 of a gram in milligrams?
375
How many millennia are there in 756421.8 years?
756.4218
Convert 3.469687um to centimeters.
0.0003469687
How many millilitres are there in fifteen quarters of a litre?
3750
What is 5/4 of a hour in seconds?
4500
How many nanometers are there in three eighths of a micrometer?
375
What is eleven halves of a day in minutes?
7920
What is 32828.18 weeks in days?
229797.26
How many hours are there in 23.279373 minutes?
0.38798955
Convert 257.8282 millilitres to litres.
0.2578282
What is 508.3862 millennia in decades?
50838.62
What is 13/4 of a week in hours?
546
How many minutes are there in 1/6 of a week?
1680
Convert 76.25901l to millilitres.
76259.01
How many millilitres are there in three eighths of a litre?
375
How many litres are there in 9751.34 millilitres?
9.75134
What is three tenths of a litre in millilitres?
300
What is 10/21 of a week in minutes?
4800
How many millennia are there in 47.8731 centuries?
4.78731
What is 34.04218 grams in milligrams?
34042.18
What is 936080.5kg in micrograms?
936080500000000
Convert 334.1561 nanoseconds to seconds.
0.0000003341561
What is 8/25 of a millennium in months?
3840
What is 199.3518mm in nanometers?
199351800
What is fifteen quarters of a meter in centimeters?
375
What is 442083.6 seconds in minutes?
7368.06
How many years are there in 9.405181 millennia?
9405.181
How many hours are there in 55/2 of a week?
4620
Convert 26.87954 milligrams to nanograms.
26879540
What is eleven eighths of a litre in millilitres?
1375
How many millilitres are there in three fifths of a litre?
600
What is seventeen quarters of a decade in months?
510
What is eleven halves of a gram in milligrams?
5500
What is fifteen quarters of a tonne in kilograms?
3750
Convert 1467.188 milliseconds to seconds.
1.467188
Convert 71.43925 centuries to months.
85727.1
Convert 201242.9ns to seconds.
0.0002012429
How many minutes are there in seven halves of a day?
5040
What is eighteen fifths of a day in minutes?
5184
What is three fifths of a second in milliseconds?
600
Convert 480932.1ml to litres.
480.9321
How many millilitres are there in one fifth of a litre?
200
What is 3.433041 centimeters in nanometers?
34330410
How many millimeters are there in 43/2 of a centimeter?
215
How many seconds are there in 1/16 of a week?
37800
Convert 5.48056cm to micrometers.
54805.6
What is fourty-nine fifths of a microgram in nanograms?
9800
What is 0.0778299ml in litres?
0.0000778299
How many litres are there in 84837.54ml?
|
{
"pile_set_name": "DM Mathematics"
}
|
, 1 s, and 1 m when three letters picked without replacement from {i: 3, s: 1, m: 4}.
3/14
Calculate prob of picking 2 r when two letters picked without replacement from {r: 16, x: 1, m: 3}.
12/19
Three letters picked without replacement from glglgallga. What is prob of picking 1 l, 1 g, and 1 a?
4/15
Two letters picked without replacement from tltpcklltkppcpxx. Give prob of picking 1 x and 1 c.
1/30
What is prob of picking 2 x, 1 f, and 1 h when four letters picked without replacement from efxffefhhhxhh?
4/143
What is prob of picking 2 v and 2 q when four letters picked without replacement from {v: 3, u: 1, q: 5}?
5/21
Calculate prob of picking 2 e and 1 r when three letters picked without replacement from kree.
1/4
What is prob of picking 4 t when four letters picked without replacement from ttttttt?
1
What is prob of picking 1 c and 1 r when two letters picked without replacement from ccwckrqruuuc?
4/33
Four letters picked without replacement from {r: 11, w: 1, q: 6}. Give prob of picking 3 q and 1 w.
1/153
What is prob of picking 1 e, 1 y, 1 j, and 1 t when four letters picked without replacement from {j: 3, e: 12, t: 1, y: 4}?
48/1615
Two letters picked without replacement from maamm. What is prob of picking 2 m?
3/10
Four letters picked without replacement from {l: 1, p: 4, j: 3, m: 3}. What is prob of picking 3 j and 1 l?
1/330
What is prob of picking 2 c when two letters picked without replacement from {c: 5}?
1
Three letters picked without replacement from {v: 4, h: 1, e: 1, t: 1, k: 1}. What is prob of picking 1 k and 2 v?
3/28
Calculate prob of picking 3 e when three letters picked without replacement from {y: 5, e: 7}.
7/44
Calculate prob of picking 2 c and 2 f when four letters picked without replacement from zfzzcycccgfc.
2/99
Four letters picked without replacement from {x: 2, g: 2, z: 4}. Give prob of picking 2 x, 1 z, and 1 g.
4/35
What is prob of picking 1 c and 1 o when two letters picked without replacement from ccocccco?
3/7
What is prob of picking 2 e when two letters picked without replacement from {l: 3, w: 2, g: 1, x: 1, e: 3}?
1/15
Three letters picked without replacement from {b: 5, l: 8}. Give prob of picking 3 l.
28/143
What is prob of picking 2 r when two letters picked without replacement from {h: 3, r: 7}?
7/15
Calculate prob of picking 2 v and 1 a when three letters picked without replacement from ddvaaadv.
3/56
Two letters picked without replacement from fxbiixffiffzftbbx. What is prob of picking 1 b and 1 t?
3/136
What is prob of picking 1 z and 1 n when two letters picked without replacement from {y: 5, n: 2, z: 2}?
1/9
Two letters picked without replacement from xxaxaxxajjaxaaajjx. Give prob of picking 2 x.
7/51
Two letters picked without replacement from tkpppppktptttptkp. What is prob of picking 2 t?
15/136
Two letters picked without replacement from {c: 1, a: 1, i: 2, f: 1, h: 2}. What is prob of picking 1 a and 1 f?
1/21
Two letters picked without replacement from {w: 7, s: 5}. What is prob of picking 2 s?
5/33
Four letters picked without replacement from {x: 7, s: 2, w: 1}. Give prob of picking 3 x and 1 w.
1/6
Calculate prob of picking 2 c and 1 r when three letters picked without replacement from rcrrrrcrcr.
7/40
What is prob of picking 1 r and 3 b when four letters picked without replacement from bybztztltzbltbtrtlb?
5/1938
What is prob of picking 1 s and 1 v when two letters picked without replacement from pssvy?
1/5
Two letters picked without replacement from ccccsccssccss. What is prob of picking 2 s?
5/39
Four letters picked without replacement from blabyabbaaa. What is prob of picking 1 y, 1 a, 1 l, and 1 b?
2/33
Three letters picked without replacement from btbfbfttttftt. Give prob of picking 3 b.
1/286
What is prob of picking 2 b when two letters picked without replacement from {i: 8, e: 3, b: 2, w: 1, x: 5}?
1/171
Three letters picked without replacement from {k: 1, x: 3, n: 2, s: 3, r: 3, g: 2}. What is prob of picking 2 g and 1 r?
3/364
Calculate prob of picking 2 i when two letters picked without replacement from iiiiiicciiiiiiciiiii.
68/95
Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 7, s: 4}.
28/55
Calculate prob of picking 2 g and 2 s when four letters picked without replacement from {g: 10, u: 1, s: 2, k: 1}.
45/1001
Calculate prob of picking 2 f and 2 s when four letters picked without replacement from {j: 1, y: 3, s: 5, f: 2, w: 1, b: 3}.
2/273
What is prob of picking 1 m and 2 k when three letters picked without replacement from {k: 7, m: 4, d: 2}?
42/143
What is prob of picking 1 x and 1 w when two letters picked without replacement from {x: 3, w: 8}?
24/55
Three letters picked without replacement from laaqleaeeeaaaaaaaqaa. What is prob of picking 1 l and 2 a?
11/95
Four letters picked without replacement from {p: 9, c: 5}. What is prob of picking 2 p and 2 c?
360/1001
Calculate prob of picking 1 a and 2 i when three letters picked without replacement from {w: 2, a: 4, i: 2, z: 2, p: 3}.
2/143
What is prob of picking 1 i and 3 d when four letters picked without replacement from {d: 5, i: 14}?
35/969
Three letters picked without replacement from {i: 1, a: 7, f: 4, d: 3, s: 1}. Give prob of picking 1 s and 2 d.
3/560
What is prob of picking 1 t and 1 m when two letters picked without replacement from yywcwwwmyywwwcywwtmw?
1/95
Calculate prob of picking 3 i when three letters picked without replacement from ggttiigggiigiit.
4/91
Three letters picked without replacement from cbbbccbccccccccbccc. What is prob of picking 2 c and 1 b?
455/969
Calculate prob of picking 2 v when two letters picked without replacement from {m: 3, v: 2}.
1/10
Calculate prob of picking 1 e, 1 v, and 2 x when four letters picked without replacement from vvevvvxvvxxvcv.
27/1001
Calculate prob of picking 2 r when two letters picked without replacement from rsssrsssssssrs.
3/91
Four letters picked without replacement from oefqofpeccoc. Give prob of picking 1 f, 2 e, and 1 o.
2/165
Calculate prob of picking 3 p and 1 z when four letters picked without replacement from {r: 6, i: 1, p: 4, z: 4, a: 2}.
4/595
Two letters picked without replacement from atzhbbad. What is prob of picking 1 h and 1 z?
1/28
Four letters picked without replacement from {j: 1, a: 1, b: 7}. What is prob of picking 1 j and 3 b?
5/18
Four letters picked without replacement from {m: 3, h: 2, w: 4, l: 4, x: 3}. Give prob of picking 1 l, 1 h, and 2 w.
12/455
Four letters picked without replacement from fppubenu. What is prob of picking 1 n, 1 b, 1 p, and 1 f?
1/35
Calculate prob of picking 2 q and 2 h when four letters picked without replacement from {q: 2, h: 2}.
1
Two letters picked without replacement from ihiiihiiiiiiihiiiiii. Give prob
|
{
"pile_set_name": "DM Mathematics"
}
|
**(-2340)
Simplify g**(-8)/g**(-2/53)*g/g**34*g**(-3/14) assuming g is positive.
g**(-30553/742)
Simplify v*v/v**(-3/20)*v*v*v*v**(2/15)*v**(-3/5)*v**(-9) assuming v is positive.
v**(-259/60)
Simplify (r/r**(-9))/r*r**(-8)/r*(r/(r**9/r))**(-45) assuming r is positive.
r**315
Simplify ((w**(-9/8)/w)/(w**(-7/5)*w))/(w*w**(-10)*w/(w/w**(1/3)*w)) assuming w is positive.
w**(953/120)
Simplify (m/m**21)/((m*m**(-9/5))/m)*(m**(-11))**(-1) assuming m is positive.
m**(-36/5)
Simplify (b**(-1)/b*b/(b*b**14*b)*b*b)/(b**(-2/7)*b)**(-24) assuming b is positive.
b**(15/7)
Simplify (w**(-2)*w)**13*(w*w**13*w*w*w)/w*w**(-5) assuming w is positive.
w**(-2)
Simplify g*g/g**(-7/5)*g**(3/2)*(g/(g*g**(-4)/g))**14 assuming g is positive.
g**(749/10)
Simplify (p**(-4/5)*(p**(-3)*p)/p)/((p/p**(-3))/p*p*p**(2/5)) assuming p is positive.
p**(-41/5)
Simplify (j**(-14)*j**(3/4)*j)**38 assuming j is positive.
j**(-931/2)
Simplify (j*j**(-2/51))/(j/j**(6/7))*((j*j/j**(-12))/j)/j*j**(-11) assuming j is positive.
j**(649/357)
Simplify ((r*r**2)/(r/(r**5*r)))/(r/(r*r*r**(-6)))**(-25/4) assuming r is positive.
r**(157/4)
Simplify (i**(-1/13)/(i*i*i/i**(2/11)))/(i*i**(-3/11)*i/i**22*i) assuming i is positive.
i**(2342/143)
Simplify q**7/q*q*q/(q*q**(-7/3)/q*q)*(q*q**(1/9))/q*q**(-1/3) assuming q is positive.
q**(82/9)
Simplify ((m**11/(m*m/(m/((m/m**(-1/13))/m))))/((m/(m**(1/5)/m*m*m*m*m*m))/(m/(m/m**(-5/7))*m)))**(-11/4) assuming m is positive.
m**(-67111/1820)
Simplify (y**(-15)*y**(-17))/(y**8)**(16/5) assuming y is positive.
y**(-288/5)
Simplify (b*((b/(b*b*b/b**12))/b*b)/b*b)/b*b*b*b**2*b**(1/6)*b*b/(b/(b*(b**11/b)/b*b*b)) assuming b is positive.
b**(163/6)
Simplify ((r**(2/5)/r*r)**(-1/10)*r**(-1)*r/r**(1/5))**(-24) assuming r is positive.
r**(144/25)
Simplify (z**12*z*z**(6/5))/(z**0*z**(-2/9)) assuming z is positive.
z**(649/45)
Simplify (p**(1/3)/p**(-2/3))**3 assuming p is positive.
p**3
Simplify ((j**(7/2)*j**(2/5))/(j**(-1/2))**(-3/23))**36 assuming j is positive.
j**(15876/115)
Simplify n*n**(-3/8)*(n/(n*(n*n/(n*n**(-2/79)/n))/n))/n*n**(4/3)/(n/(n*n**(3/28))) assuming n is positive.
n**(533/13272)
Simplify r**(-3)/(r*r*r/((r**(-3/5)*r)/r))*((r*r/(r/((r/(r*(r**(10/3)/r)/r*r)*r)/r))*r)/r)/(r/r**(-2/11)) assuming r is positive.
r**(-1504/165)
Simplify (((r**5*r)/r)/(r*r*r*r**(-3/14)/r*r*r*r))/(((r*r/(r/r**(-5/7)))/r*r)/((r/r**7)/r)) assuming r is positive.
r**(-99/14)
Simplify ((q*q**(-16)*q)/(q*q**(-1/38)))**(-14) assuming q is positive.
q**(3983/19)
Simplify (t*t**(9/5)*t)**20/((t*t**14/t)/t)**23 assuming t is positive.
t**(-223)
Simplify q**(-7)/(((q**8/q)/q)/q)*q**(-4/7)/q**(-1/3) assuming q is positive.
q**(-257/21)
Simplify (a**6)**29/(a**(-3/4))**(-46) assuming a is positive.
a**(279/2)
Simplify (j**(2/13))**31*(j**(1/5))**(1/4) assuming j is positive.
j**(1253/260)
Simplify (d/(d**(-9)/d))/(d/(d/d**(2/9)))*(d/(d/d**2)*d)**(5/8) assuming d is positive.
d**(911/72)
Simplify (c**(3/5)*c)**(-14/15)*(c/((c*c**(-15)*c)/c))/c**(-2/17) assuming c is positive.
c**(17371/1275)
Simplify (i**(-8)/(i/i**(-34)))**(-23) assuming i is positive.
i**989
Simplify (g**(2/13)/g*g)**(-33)*g/((g/g**(1/2))/g)*g/((g**(5/4)*g)/g) assuming g is positive.
g**(-199/52)
Simplify (q/q**(-2/31)*q*((q*q**(1/8))/q)/q)/(q**(3/5)/(q/(q*q**20*q*q)*q)) assuming q is positive.
q**(-25309/1240)
Simplify (p**(-1/3))**(7/5)/(p*p**(-2/33)*p*p*p/(p*p**(-2/9))*p) assuming p is positive.
p**(-2291/495)
Simplify ((i/(i**31*i*i))/i**(2/5))/(i**(-15))**(11/4) assuming i is positive.
i**(177/20)
Simplify ((f*f*f**(1/2))**16*(f*(f*f/(f**(1/2)*f))/f*f)**(1/21))**(8/7) assuming f is positive.
f**(2244/49)
Simplify ((i**(-30)*i/(i*i**(-29)))**(2/51))**(2/29) assuming i is positive.
i**(-4/1479)
Simplify (k**(-13)/(k*k/(k*k**18*k*k)))/(k**(-3)/k**(8/7)) assuming k is positive.
k**(71/7)
Simplify (n**(-7/4)*n)/n*n*n**(-9)/n*(n**(5/4)/n)/n*n/(n*n**2/n)*n assuming n is positive.
n**(-23/2)
Simplify w**(7/4)*w**9*w**13/w**(-6) assuming w is positive.
w**(119/4)
Simplify n**8/(n*n**(2/23))*(n**(-6)/n)**39 assuming n is positive.
n**(-6120/23)
Simplify (m**5/m**(-1/2)*m**(-3/4)*m**(-1/2))**(1/4) assuming m is positive.
m**(17/16)
Simplify (a**13/(a**(-18)*a))/(a*a*a/(a*a/(a/(a/a**(-2)))*a)*a*a/(a**(-1/8)/a)) assuming a is positive.
a**(231/8)
Simplify (((n**(3/10))**(-12))**(-9))**(-4/11) assuming n is positive.
n**(-648/55)
Simplify (h*h**(-8)/h)/h**(2/3)*(((h*h*h**(-1))/h)/h)**(-1) assuming h is positive.
|
{
"pile_set_name": "DM Mathematics"
}
|
).
1176*m**4
Expand -3242 + 3242 - 277*t - 1 + 1 - t + (-4*t + 4*t - t)*(4 - 1 - 2).
-279*t
Expand (-5 + 5 + 1)*(-59 - 17 - 9*s**2 + 74 - 2*s**4 + 4*s).
-2*s**4 - 9*s**2 + 4*s - 2
Expand 4*l**4 - l**4 - 2*l**4 + (-134*l**4 - 119*l**4 + 238*l**4)*(-3 + 1 + 1).
16*l**4
Expand 0*i**5 + 3*i**5 + i**5 - 4*i**2 + 4*i**2 + 2*i**5 + 3*i**3 - 3*i**3 + 2*i**5 + (1 - 1 + i**3)*(7*i**2 - 3*i**2 - 2*i**2) - 9*i**3 + 8*i**5 + 9*i**3.
18*i**5
Expand (-79 + 33 + 2 - 1)*(q**2 - 5*q**3 - q**2).
225*q**3
Expand 7*t**2 - 3*t**2 - 3*t**2 + 5*t**2 - t**2 + 4*t**2 + t**2 + t**2 - 4*t**2 + (-3 - 2 + 6)*(5*t**2 - 3*t**2 + 0*t**2) + 3*t**2 - 3*t**2 - t**2.
8*t**2
Expand 0*w + 0*w + 2*w + w - 1 + 1 + (-26*w + 17*w - 28*w)*(-4 + 2 + 3) + (-1 - 1 + 4)*(-2*w - w + 5*w) - w + 5*w - 3*w.
-29*w
Expand (0*k - 2 - 3 + 2*k)*(0*k + k**3 + 0*k)*(-5 - 15 - 1).
-42*k**4 + 105*k**3
Expand (2 - 1 - 2)*(233 + 171 - 660)*(-5*u + 4*u - u).
-512*u
Expand (4*i - 4*i - i + (-4*i + i + i)*(0 + 2 + 2) - i + 2*i - 3*i)*(-2*i**2 + 5*i**2 - i**2).
-22*i**3
Expand (-3*m + 3*m - 62*m**2)*(-2*m - 2*m - 3*m).
434*m**3
Expand (55 - 134*w + 268*w - 132*w)*(5 - 1 - 4*w**2 - 3).
-8*w**3 - 220*w**2 + 2*w + 55
Expand ((0 + 1 - 3)*(y - 4*y + 2*y) + y - y + 2*y + 2*y - 6*y + 3*y)*(-31*y - 97*y - 2 + 57*y).
-213*y**2 - 6*y
Expand -4*x**2 + 4*x**2 + 52*x**3 + (0 + 0 - 2*x)*(10*x - 10*x - 11*x**2).
74*x**3
Expand (-1 + 0 - 1)*(0*s + 0*s - 4*s**2)*(s**2 + 15*s - 29*s + 13*s).
8*s**4 - 8*s**3
Expand (0 - 3 + 1)*(-3*l**2 + 0*l**2 + 0*l**2) + 12*l**2 - 12*l**2 + 25*l**2 + (-3*l - 4*l + 5*l)*(6*l - l - 4*l).
29*l**2
Expand (-c**2 + 4 - 4)*(2*c - c - 3*c) + 3*c**3 + 33*c**3 + 8*c**3 + (c - c + c)*(-4*c**2 + 2*c**2 + 3*c**2).
47*c**3
Expand (-2*j + 2*j - j**2)*(11*j - 2*j - 12*j)*(-13*j**2 - 8*j + 11*j**2 - 11*j).
-6*j**5 - 57*j**4
Expand (-l - l + 7*l)*(4 + 0 - 2) + (0 - l + 0)*(5 - 2 - 1)*(-9 + 0 - 23).
74*l
Expand (0 + 0 - 2)*(-2*c**4 + 14*c**4 - c**4) - 3*c**4 + c**4 + 0*c**4 + ((0*c**2 + 0*c**2 - c**2)*(-3 + 4 + 1) + 6*c - 6*c - 2*c**2)*(3*c**2 + 0*c**2 - c**2).
-32*c**4
Expand (5*s**2 - s**2 - 3*s**2)*(378*s**2 - 100*s**2 + 728*s - 726*s).
278*s**4 + 2*s**3
Expand (-2*d - 5871*d**2 - 8 + 2940*d**2 + 2852*d**2)*(-4 + 4 + d**2).
-79*d**4 - 2*d**3 - 8*d**2
Expand (200 - 12 + 78)*(4*i + 2*i - 4*i + 1).
532*i + 266
Expand (r + 2*r**2 - r)*(55*r**2 + 6*r - 113*r**2 + 55*r**2) + (-2 + 2*r**2 + 2)*(-3*r**2 - r**2 + 3*r**2).
-8*r**4 + 12*r**3
Expand (-3*r**2 + 2*r**2 + 3*r**2)*(5 + 0 + 5) + 168 + 26*r**2 - 168.
46*r**2
Expand (84 - 171 - 22*p**5 + 88)*(3 - 3 - 2).
44*p**5 - 2
Expand ((3*b - 2*b - 3*b)*(-3 - 1 + 2) + 89*b - 7*b + 50*b)*(-5*b**2 + 2*b**2 + 4*b**2).
136*b**3
Expand -4*f + 6*f + 0*f + 248 + 139*f - 248 + (1 - 1 + 3)*(0 - 2*f + 0) + 4 - 2*f - 4.
133*f
Expand (-7 - 6 + 8)*(-t - 1 + 1)*(-4*t + 3*t + 3*t)*(-t - 10 + 10).
-10*t**3
Expand (-n**3 + 4 - 4)*(4*n - n - 2*n - 2*n + 3*n - 2*n + (0 + 2 - 1)*(-3*n - 5 + 5) - 2*n + 4 - 4 - 4*n + 2*n + 3*n).
4*n**4
Expand 2*z**4 - 7*z**4 + 2*z**4 + (-2 + 6 - 2)*(-437*z + 39*z**3 + 437*z - z**4).
-5*z**4 + 78*z**3
Expand (-6 + 2*n + 6)*(-n**2 + n**2 - n**2)*(-1 - 6 - 3*n + 4).
6*n**4 + 6*n**3
Expand (-4*j + j - j)*(279*j - 35*j**4 - 279*j) + (j**3 - 2 + 2)*(8*j - 8*j - 3*j**2).
137*j**5
Expand 4*d**3 - 3*d**3 + 0*d**3 + (0*d**2 + 2*d**3 + 0*d**2)*(3 + 0 - 5) + 4*d**3 - 3*d**3 - 3*d**3 - 6*d**3 + 16*d**3 - 11*d**3 - 4*d**3 + 29.
-10*d**3 + 29
Expand (2 - 7 + 3)*(-i**3 + i**3 + i**3) + 6*i - 6*i + i**3 + 2*i**3 + 0*i**3 + 0*i**3 + (-3*i + 0*i + i)*(-2*i**2 - i**2 + i**2).
5*i**3
Expand ((
|
{
"pile_set_name": "DM Mathematics"
}
|
2, 161, 140, 83?
-c**3 - 3*c**2 + 67*c + 5
What is the t'th term of -45, -100, -165, -246, -349?
-t**3 + t**2 - 51*t + 6
What is the s'th term of 963, 1927, 2891?
964*s - 1
What is the h'th term of 24, 114, 264, 474, 744, 1074?
30*h**2 - 6
What is the y'th term of -60, -31, 24, 111, 236, 405, 624?
y**3 + 7*y**2 + y - 69
What is the d'th term of 868, 1745, 2622?
877*d - 9
What is the w'th term of 5293, 10588, 15883, 21178, 26473, 31768?
5295*w - 2
What is the f'th term of 11402, 11400, 11398, 11396, 11394?
-2*f + 11404
What is the i'th term of 609, 621, 633, 645, 657, 669?
12*i + 597
What is the o'th term of -106, -185, -266, -349, -434, -521?
-o**2 - 76*o - 29
What is the o'th term of 6, 14, 44, 108, 218, 386, 624, 944?
2*o**3 - o**2 - 3*o + 8
What is the d'th term of -10, -17, -34, -67, -122, -205, -322?
-d**3 + d**2 - 3*d - 7
What is the s'th term of 1573, 1575, 1577?
2*s + 1571
What is the b'th term of -852, -852, -854, -858, -864?
-b**2 + 3*b - 854
What is the v'th term of -719, -702, -687, -674, -663?
-v**2 + 20*v - 738
What is the q'th term of 15, 56, 101, 150, 203, 260, 321?
2*q**2 + 35*q - 22
What is the y'th term of 41, 99, 195, 329, 501?
19*y**2 + y + 21
What is the y'th term of 16, 11, 2, -11, -28, -49?
-2*y**2 + y + 17
What is the n'th term of -38, -88, -138, -188, -238?
-50*n + 12
What is the l'th term of -51, -77, -105, -135, -167?
-l**2 - 23*l - 27
What is the b'th term of 9, 30, 61, 102, 153, 214?
5*b**2 + 6*b - 2
What is the g'th term of -16, -22, -22, -10, 20, 74, 158?
g**3 - 3*g**2 - 4*g - 10
What is the a'th term of 4306, 8598, 12900, 17218, 21558, 25926, 30328, 34770?
a**3 - a**2 + 4288*a + 18
What is the m'th term of -1, -26, -55, -82, -101, -106, -91, -50?
m**3 - 8*m**2 - 8*m + 14
What is the c'th term of 194, 165, 112, 23, -114, -311?
-2*c**3 - 15*c + 211
What is the m'th term of -569, -575, -593, -629, -689?
-m**3 + m - 569
What is the x'th term of 41, 105, 203, 353, 573, 881?
3*x**3 - x**2 + 46*x - 7
What is the l'th term of 51215, 51214, 51213, 51212, 51211?
-l + 51216
What is the a'th term of -2834, -2832, -2830, -2828, -2826, -2824?
2*a - 2836
What is the c'th term of 4894, 4888, 4880, 4870?
-c**2 - 3*c + 4898
What is the m'th term of -607, -1208, -1805, -2398, -2987, -3572, -4153?
2*m**2 - 607*m - 2
What is the z'th term of -46, -22, -4, 2, -10, -46, -112?
-z**3 + 3*z**2 + 22*z - 70
What is the i'th term of -766, -764, -762?
2*i - 768
What is the l'th term of 20, 45, 74, 101, 120?
-l**3 + 8*l**2 + 8*l + 5
What is the r'th term of -846, -843, -838, -831, -822?
r**2 - 847
What is the p'th term of 36813, 36812, 36811, 36810?
-p + 36814
What is the s'th term of 52, 111, 164, 211, 252, 287, 316?
-3*s**2 + 68*s - 13
What is the y'th term of -1231, -1235, -1239, -1243?
-4*y - 1227
What is the v'th term of 24, 75, 156, 267, 408, 579?
15*v**2 + 6*v + 3
What is the s'th term of 7422, 7423, 7424?
s + 7421
What is the q'th term of -10, -15, -28, -55, -102, -175, -280?
-q**3 + 2*q**2 - 4*q - 7
What is the w'th term of -7, -5, -1, 5, 13?
w**2 - w - 7
What is the q'th term of -817, -1632, -2445, -3256?
q**2 - 818*q
What is the z'th term of -74, -146, -216, -284, -350?
z**2 - 75*z
What is the i'th term of 8, 38, 86, 152, 236?
9*i**2 + 3*i - 4
What is the m'th term of 1382, 1380, 1378, 1376, 1374?
-2*m + 1384
What is the z'th term of 1, 22, 63, 130, 229, 366, 547, 778?
z**3 + 4*z**2 + 2*z - 6
What is the b'th term of 73, 145, 217, 289, 361?
72*b + 1
What is the k'th term of 54, 81, 124, 183, 258, 349?
8*k**2 + 3*k + 43
What is the n'th term of -18, -76, -182, -336?
-24*n**2 + 14*n - 8
What is the d'th term of -22, -21, -20, -19, -18?
d - 23
What is the i'th term of 576, 1163, 1750, 2337, 2924, 3511?
587*i - 11
What is the p'th term of 1280, 1276, 1272, 1268, 1264?
-4*p + 1284
What is the l'th term of 32, 11, -38, -127, -268?
-2*l**3 - 2*l**2 - l + 37
What is the z'th term of -144, -1133, -3816, -9039, -17648, -30489, -48408?
-141*z**3 - z**2 + z - 3
What is the s'th term of 4, 6, 10, 22, 48, 94, 166, 270?
s**3 - 5*s**2 + 10*s - 2
What is the g'th term of -794, -790, -784, -776?
g**2 + g - 796
What is the r'th term of -2213, -2212, -2211?
r - 2214
What is the s'th term of 16, 80, 188, 340?
22*s**2 - 2*s - 4
What is the s
|
{
"pile_set_name": "DM Mathematics"
}
|
v(f) wrt f.
-27*f**2
Let k(n) = -2*n**4 - 3*n**2 - n. Let l(b) = 5*b**4 + 7*b**2 + 2*b. Let r = -11 - -4. Let t(f) = r*k(f) - 3*l(f). What is the second derivative of t(i) wrt i?
-12*i**2
Let g(n) = n**3 + n**2 - n - 1. Let a(x) = -20*x**3 - 4*x**2 + 2*x - 9. Let m(t) = a(t) + 2*g(t). Differentiate m(p) wrt p.
-54*p**2 - 4*p
Suppose -i = 4*i. Suppose 0 = 5*f - 20 - i. Find the third derivative of -h**3 + f*h**2 - 3*h**2 + h**2 wrt h.
-6
Let z(d) be the second derivative of -8*d**6/15 - 5*d**4/12 - 17*d. Find the third derivative of z(n) wrt n.
-384*n
Let y(m) be the first derivative of 7*m**6/6 + 7*m**3/3 + 2. What is the third derivative of y(j) wrt j?
420*j**2
Let r(o) be the first derivative of -8*o**3 + 43*o**2/2 - 65. What is the second derivative of r(b) wrt b?
-48
Let u(n) be the third derivative of 0 - 1/336*n**8 + 0*n**7 + 0*n**4 - 2*n**2 + 0*n**3 + 0*n**6 + 1/60*n**5 + 0*n. Find the third derivative of u(a) wrt a.
-60*a**2
Let o(d) = -9*d**2 + 6*d + 4. Let m(a) = -7*a**2 + 6*a - a**2 - a + 3. Let k(q) = 6*m(q) - 5*o(q). Differentiate k(c) with respect to c.
-6*c
Find the third derivative of 12*m**2 - 30*m**2 + 13*m**2 + 2*m**3 wrt m.
12
Let l(k) be the first derivative of 0*k + 0*k**5 + 0*k**4 + 0*k**3 + 3/2*k**6 + 5/2*k**2 - 10. What is the second derivative of l(f) wrt f?
180*f**3
Let f be (2 - 0)/(-1) - 6. Let d be 5 + (1 - f/(-2)). Find the third derivative of 4*w**3 - w**3 - 6*w**3 - 3*w**d + 0*w**3 wrt w.
-18
Let f(n) be the first derivative of -2*n**7/21 - 7*n**4/12 + 2*n - 5. Let b(d) be the first derivative of f(d). What is the third derivative of b(i) wrt i?
-240*i**2
Let g(b) = 4*b - 11. Let s be g(4). What is the second derivative of -3*y + s*y + 4*y + 11*y**2 + 4*y wrt y?
22
Let h(r) be the third derivative of 0*r + 0*r**6 + 0 - 1/2*r**3 + 0*r**4 - 1/70*r**7 + 0*r**5 - 5*r**2. Differentiate h(j) with respect to j.
-12*j**3
Let r(c) = -7*c + 2. Let j(d) = -10. Let x(m) = -m - 1. Let y(k) = -j(k) + 8*x(k). Let z(v) = 5*r(v) - 4*y(v). Differentiate z(q) with respect to q.
-3
Let v(k) be the second derivative of 1/6*k**4 - 1/6*k**3 + 4*k + 0*k**2 + 0. What is the second derivative of v(c) wrt c?
4
Let z(w) = -5*w**3 - 18*w - 3. Let m(u) = 1. Let j(t) = -3*m(t) - z(t). What is the second derivative of j(g) wrt g?
30*g
What is the first derivative of 2 + 2*l - 2*l - 3*l + 5 wrt l?
-3
Let p(u) be the first derivative of u**6/180 - u**4/12 + u**3 + 2. Let s(b) be the third derivative of p(b). What is the derivative of s(k) wrt k?
4*k
Let h(p) be the third derivative of -9*p**8/112 + p**5/12 + 27*p**2. Find the third derivative of h(t) wrt t.
-1620*t**2
Let d = 7 - 6. Suppose 3*m - 3*u - 11 = d, -3 = -2*m - 3*u. What is the second derivative of m*f - f - f - f**2 - 2*f**2 wrt f?
-6
Let n(w) = -w**3 + 5*w**2 + 6*w + 4. Let s be n(6). Find the third derivative of -2*x**2 - s*x**2 + x**2 + 2*x**5 wrt x.
120*x**2
Let d(s) be the first derivative of 23*s**4/4 + 10*s**3/3 + 8. What is the third derivative of d(a) wrt a?
138
Let o(q) = q**4 - q**3 + q**2 + q. Let n(w) = -5*w**4 + 3*w**3 - 3*w**2 + 3*w. Let c(f) = n(f) + 3*o(f). What is the second derivative of c(p) wrt p?
-24*p**2
Let s(z) be the third derivative of z**9/21 - 13*z**5/30 + 20*z**2. Find the third derivative of s(i) wrt i.
2880*i**3
Let t(g) = 2*g**2 + 3*g - 4. Let z be t(-4). Suppose 5*x = 20, -4*u + 2*u = 2*x - z. What is the second derivative of 3*y**4 - 4*y - y**u + 6*y wrt y?
24*y**2
Let l(m) = -2*m**4 - 22*m**3 - 22*m**2 + 22*m + 20. Let z(y) = y**3 + y**2 - y - 1. Let o(k) = -2*l(k) - 44*z(k). What is the derivative of o(u) wrt u?
16*u**3
Let a(t) = -t + 7. Let r be a(7). Differentiate 2*l + 2*l + r + 0 + 4 with respect to l.
4
Let s(t) = 2*t - 2. Let f(b) = 2*b - 3. Let c = -3 - 3. Let u be 2*c/(-8)*-2. Let w(l) = u*f(l) + 4*s(l). Differentiate w(x) wrt x.
2
What is the second derivative of -10*y**3 - 14*y + 10*y**3 + 11*y**4 - 2*y wrt y?
132*y**2
Let y = -5 + 11. Find the third derivative of -b**2 + b**2 - 3*b**2 + 0*b**y - 3*b**6 wrt b.
-360*b**3
Let p(o) = 4*o**4 - 2*o**3 + 2*o**2 - 1. Let z(s) = -s**3 + s**2. Let h(v) = p(v) - 2*z(v). Find the first derivative of h(g) wrt g.
16*g**3
Suppose -3*y - 4 - 5 = 0, 0 = 4*c + 3*y - 19. Let g = 7 - c. What is the first derivative of -12 - m**4 + 0
|
{
"pile_set_name": "DM Mathematics"
}
|
without replacement from {z: 9}. Give prob of picking 3 z.
1
Three letters picked without replacement from {c: 3, f: 1, a: 2, h: 1}. Give prob of picking 1 c, 1 f, and 1 h.
3/35
What is prob of picking 3 i when three letters picked without replacement from xxxiixxiixx?
4/165
Two letters picked without replacement from {o: 1, t: 1, m: 1, r: 1, a: 1}. Give prob of picking 1 m and 1 a.
1/10
Calculate prob of picking 2 e, 1 o, and 1 j when four letters picked without replacement from eoejeejjjeeoe.
168/715
Calculate prob of picking 3 e and 1 z when four letters picked without replacement from ezezez.
1/5
Calculate prob of picking 3 l when three letters picked without replacement from {l: 5}.
1
Four letters picked without replacement from exrql. Give prob of picking 1 l, 1 x, 1 q, and 1 e.
1/5
What is prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq?
1
Two letters picked without replacement from iiiooaiiaiai. What is prob of picking 1 i and 1 o?
7/33
Three letters picked without replacement from {j: 6, g: 6}. What is prob of picking 1 g and 2 j?
9/22
Calculate prob of picking 1 u and 2 a when three letters picked without replacement from baabbbobbzaduzaob.
3/340
Four letters picked without replacement from {j: 4, k: 1, t: 2, g: 1, e: 1}. What is prob of picking 2 t, 1 k, and 1 j?
2/63
Three letters picked without replacement from {k: 1, o: 13, c: 1}. Give prob of picking 1 o and 2 c.
0
Calculate prob of picking 1 j and 2 l when three letters picked without replacement from lpppljlplpppc.
3/143
Three letters picked without replacement from nnvvvvmmnmnn. What is prob of picking 2 n and 1 m?
3/22
Two letters picked without replacement from {q: 6, e: 2}. What is prob of picking 2 q?
15/28
What is prob of picking 3 k when three letters picked without replacement from hhkbdkdhbykj?
1/220
Two letters picked without replacement from upppsss. Give prob of picking 1 s and 1 u.
1/7
Two letters picked without replacement from {m: 4, s: 2}. What is prob of picking 2 s?
1/15
Two letters picked without replacement from jrgjegyjaayj. Give prob of picking 1 r and 1 a.
1/33
Two letters picked without replacement from qemjxxtt. Give prob of picking 1 m and 1 e.
1/28
Calculate prob of picking 1 y, 1 v, and 1 m when three letters picked without replacement from mmeovhhy.
1/28
Calculate prob of picking 1 e and 2 n when three letters picked without replacement from {s: 2, n: 11, e: 2}.
22/91
Calculate prob of picking 1 q and 2 o when three letters picked without replacement from oqoomoqqqqqqoqmqo.
27/136
Two letters picked without replacement from ertemmrtrerrr. What is prob of picking 2 m?
1/78
Two letters picked without replacement from {f: 1, k: 3, s: 3, b: 3, m: 2, z: 1}. What is prob of picking 1 k and 1 s?
3/26
Four letters picked without replacement from {s: 7, p: 3}. Give prob of picking 1 p and 3 s.
1/2
Calculate prob of picking 3 l and 1 s when four letters picked without replacement from {l: 12, s: 6}.
22/51
What is prob of picking 3 p when three letters picked without replacement from cccppp?
1/20
Calculate prob of picking 4 m when four letters picked without replacement from mmmmgggmmgm.
7/66
Calculate prob of picking 1 u and 1 t when two letters picked without replacement from uttutuutttutuututut.
10/19
Three letters picked without replacement from nnnnnnn. Give prob of picking 3 n.
1
Two letters picked without replacement from {k: 2, b: 5}. What is prob of picking 1 b and 1 k?
10/21
Four letters picked without replacement from mddymttdmzmzmm. Give prob of picking 2 m, 1 y, and 1 t.
30/1001
Four letters picked without replacement from {n: 3, c: 1, d: 1, k: 1, e: 5, w: 1}. Give prob of picking 4 d.
0
What is prob of picking 1 u, 1 c, 1 w, and 1 t when four letters picked without replacement from {u: 4, t: 1, c: 1, w: 2}?
4/35
Calculate prob of picking 2 u and 1 k when three letters picked without replacement from xxxxuixuupoxuxkuo.
1/68
Calculate prob of picking 2 l when two letters picked without replacement from wwwllwwwlwll.
5/33
Calculate prob of picking 2 d when two letters picked without replacement from dzddaazdzazzaaa.
2/35
Calculate prob of picking 2 k, 1 v, and 1 u when four letters picked without replacement from vqdudvkuvvkkvvqkd.
18/595
Calculate prob of picking 1 c and 2 b when three letters picked without replacement from {c: 9, g: 1, i: 4, x: 2, b: 4}.
9/190
Calculate prob of picking 2 r when two letters picked without replacement from roorrrr.
10/21
Three letters picked without replacement from ddddddddd. Give prob of picking 3 d.
1
Calculate prob of picking 4 o when four letters picked without replacement from {o: 4}.
1
Two letters picked without replacement from zzhahhshhihihsh. What is prob of picking 2 z?
1/105
What is prob of picking 1 r, 1 k, and 1 x when three letters picked without replacement from {r: 4, c: 1, o: 2, x: 2, m: 1, k: 4}?
8/91
Calculate prob of picking 3 l when three letters picked without replacement from ldlldllldllllll.
44/91
Three letters picked without replacement from vvvvmvvvmvmvvvv. What is prob of picking 1 v and 2 m?
36/455
What is prob of picking 1 d and 1 k when two letters picked without replacement from {l: 4, k: 7, d: 3}?
3/13
Calculate prob of picking 2 v when two letters picked without replacement from vxxxxxxxxxxxxxxxxvxx.
1/190
Three letters picked without replacement from kmtkvvkvmlkkkkvmkk. What is prob of picking 1 k, 1 t, and 1 m?
9/272
Two letters picked without replacement from xwwxatjxtjwxxwxjx. Give prob of picking 2 w.
3/68
Two letters picked without replacement from {v: 2, o: 3}. What is prob of picking 1 o and 1 v?
3/5
Two letters picked without replacement from odddddo. Give prob of picking 1 o and 1 d.
10/21
Two letters picked without replacement from mxxxxhxzm. What is prob of picking 1 m and 1 z?
1/18
What is prob of picking 2 a when two letters picked without replacement from {o: 9, a: 5}?
10/91
Calculate prob of picking 1 d and 3 g when four letters picked without replacement from ddddgggdddg.
14/165
Calculate prob of picking 2 h when two letters picked without replacement from qhqqqhqqhqhhhqhqhhq.
4/19
Calculate prob of picking 1 d and 1 i when two letters picked without replacement from ddoioidifodd.
5/22
Calculate prob of picking 1 l and 1 o when two letters picked without replacement from {o: 1, w: 2, i: 6, l: 4}.
2/39
What is prob of picking 1 x and 2 w when three letters picked without replacement from {n: 1, w: 2, x: 1, a: 5}?
1/84
Four letters picked without replacement from {c: 2, u: 4}. What is prob of picking 3 u and 1 c?
8/15
What is prob of picking 2 d when two letters picked without replacement from {q: 2, n: 7, d: 4}?
1/13
Two letters picked without replacement from {e: 2, h: 4, m: 5, c: 8}. What is prob of picking 1 h and 1 c?
32/171
What is prob of picking 1 q and 2 p when three letters picked without replacement from bppppbppntqb?
|
{
"pile_set_name": "DM Mathematics"
}
|
6
Let z = 2708 + -2694. Solve 11*l - 6*l - 14 = 2*a, 3*l = 4*a + z for l.
2
Suppose -128 = -20*w - 22*w - 22*w. Solve 9*u + 5 = c + 7*u, -w*c = u for c.
1
Suppose 0 = -5*v + t - 2688, -2692 = 5*v - 11*t + 12*t. Let x = v + 542. Solve 5*u + 2*c - 19 = 0, -4*c + 5 = x*u - 3 for u.
5
Suppose 4*n - 4*v = 20, 9*v - 11 = -n + 4*v. Solve s - u = -0 - n, -4 = -u for s.
-2
Suppose -26 = -6*s - 8. Suppose 0 = z - s - 2, -4*z + 52 = -4*n. Let h be (-2 + 2)*4/n. Solve h*a = y + 4*a - 19, 4*y = -5*a + 21 for y.
-1
Suppose 18 = -3*q + 5*q. Suppose 0 = 26*k - 30*k + 20. Suppose k*l = q*l. Solve 4*o + 4 = l, o = -u - 4*o - 4 for u.
1
Suppose -8 = -554*z + 550*z. Let t be (8/6)/((-4)/(-6)). Let n = 16 - t. Solve 0*r + z*y + n = -4*r, 9 = -2*r + y for r.
-4
Let n(x) = -200*x**3 + 2*x**2 - 6*x - 7. Let i be n(-1). Let l = -197 + i. Solve l*q - 31 = -3*j, 4*q + q - 30 = -2*j for j.
5
Let f be (98/(-21))/(38/(-36) + 1). Let b be 1/(2/12 - (-7)/f). Suppose -2*z + b*i - i + 6 = 0, -z + 4*i = 7. Solve -s - 5*q = 27, 5*q + 12 = 2*s - z for s.
-2
Suppose -33*l + 55 = -0 - 44. Let t = 2 - -12. Suppose -4*j = p + p - t, -p = 3*j - 8. Solve 0 = p*d - 4*o + 20, 4 + 1 = -l*d + o for d.
0
Suppose 275*c - 382 = 517 + 476. Solve c*i + 2*n = -20, -2*i = -4*n + n + 8 for i.
-4
Let y(o) = 7*o - 68. Let l be y(-8). Let x = l + 127. Solve -r + 2*t + 7 + x = 0, 4*r + 5*t = -25 for r.
0
Let m = 73 - 68. Let s(v) = 3*v - 27. Let a be s(13). Solve j + j - 5*i + 13 = 0, -a = 3*j - m*i for j.
1
Let z = 3143 + -3136. Solve 0 = 3*y + 3*f - 6, 2*y = z*f - 5*f + 12 for y.
4
Let s be 43 - -3 - (6 + -2). Suppose 10*j - 58 = s. Solve 2*l - j = 0, 4*l = 3*w + l for w.
5
Suppose 0 = k + b + 2*b + 35, -2*k - 3*b = 70. Let g(n) = 3*n + 123. Let j be g(k). Solve -4 = -4*y, -y - j = -4*m + y for m.
5
Let i(a) = a**3 + 8*a**2 + 5*a - 6. Let q be i(-7). Let p be (q/(-12))/((-4)/(4*-15)). Let o = p - -14. Solve -5*f + 40 = 5*l, 0 = 2*f + f - l - o for f.
3
Let w = -22 + 24. Let c(i) = 13*i. Let l(v) = -v**2 + 5*v - 5. Let k be l(3). Let m be c(k). Solve 4*x - x = g + m, -w*x - 5*g = -3 for x.
4
Let p(q) = 10*q - 60. Let w be p(6). Suppose -3*j + 2*s = -3 + 11, w = 5*j + 5*s - 20. Solve 0 = -3*h - j*h - 4*x, 4*h + x = -13 for h.
-4
Suppose -10*m = -13*m + 6. Suppose -m*f + 6 + 3 = -y, 4*f - 13 = y. Solve -3*x = -4*s + 3, 0*x + 5*s + 2 = -f*x for x.
-1
Let s = -323 + 60. Let u = -258 - s. Solve -5*m + 3 = 3*r, -m - 4*r - 1 = -u for m.
0
Suppose 6*t - 51 = 41 - 62. Solve 5*k - 21*x = -23*x - 3, 6 = -t*k + x for k.
-1
Let i(b) = -7*b + 124. Let u(r) = -29*r + 499. Let t(f) = 9*i(f) - 2*u(f). Let y be t(23). Solve 0 = -5*h - a + 25, -h + y*a + 20 = 3*h for h.
5
Let i = 1501 - 1499. Solve -3*y = 4*w - 7, -i*w - 2*y + 10 = 6 for w.
1
Let c(a) = -30*a - 2490. Let i be c(-83). Solve 0 = 4*r + 5*s + 43, i + 40 = -7*r + 3*s for r.
-7
Let s(r) = 4*r + 72. Let w be s(-26). Let g be 8/2 - 160/w. Suppose 18 = n - 3*d, -44 + g = -5*n + 4*d. Solve -5*z - n*u - 26 = 0, -z - 3*u - 10 = -0*z for z.
-4
Suppose 50 = 5*d + s, 3*d - 22 - 20 = -3*s. Solve q = -5*i - 27, 26*i - d = 29*i - 3*q for i.
-5
Suppose -4*c - 8*l + 21 = 5, 0 = 4*c + l - 9. Let a be ((-15)/(-6) - 3)*0. Solve c*u + 5*y - 8 = a, 0 = -0*u - 2*u - y for u.
-1
Let y(m) = -m**2 + 8*m + 49. Let a be y(-4). Solve -4*t - t + 22 = 2*r, -a = -5*r + t for r.
1
Suppose 0 = -5*v + 20, -a - 9*v + 13*v - 11 = 0. Suppose -2 + 6 = 2*x. Solve -3*m + j - 32 = a*j, 4*m - x*j + 6 = 0 for m.
-4
Let l(k) = -k**3 - 42*k**2 + 87*k - 59. Let i be l(-44). Let r be (40/25 + i/25)*2. Solve r*w - 28 = 5*v - 3, 0 = 2*v + 3*w - 9 for v.
-3
Suppose -27 - 15 = -14*i. Solve -4*g = y - 2*g + i, -5*y = 5*g + 15 for y.
-3
Let d = 33 - 21. Let z be (d/(-10))/((-8)/20). Suppose 0 = z*v + 2*v - 25. Solve p - t - v = 0, 3*p + 0*p + 3*t = 3 for p.
3
Suppose 6*d - 7 = 5. Let y be (-2)/6 + (-2)/(-18)*282. Let o = -27 + y. Solve 4*k = -o*m + 8*m - 24, d*m
|
{
"pile_set_name": "DM Mathematics"
}
|
f t**5/30 + t**4/6 - t**3 - 11*t**2 + 3. Let r be d(6). Suppose -p = 5*p - r. Solve 6*h = h + p for h.
3
Suppose -44*j + 179 = -43*j. Let p = j + -175. Solve 7*g - 5*g = p for g.
2
Let a(l) be the third derivative of -37*l**6/120 + l**5/30 - 5*l**4/24 + l**3/2 + 31*l**2. Let b be a(1). Let n = -35 - b. Solve -2*p - 6 = -n for p.
-2
Let n be (3/(5 + 1))/(2/24). Let q be (-352)/(-20) + n/15. Suppose 196*o - 195*o = q. Solve -5*b - 2 = o for b.
-4
Suppose 0 = -4*s + t + 53 + 275, 3*s = t + 244. Solve 44 = s*j - 95*j for j.
-4
Let a = 155 - 157. Let x be (a/(-6))/(5/15) - -1. Solve 0 = -x*s - 3*s - 10 for s.
-2
Suppose 27*i - 18*i - 162 = 0. Let h(s) = s**2 - 13*s - 87. Let j be h(i). Solve -j*o - 12 = -3 for o.
-3
Let x(c) be the second derivative of c**4/6 + 53*c**3/6 - 11*c**2 + 2*c + 3. Let u be x(-27). Solve 0*d = u*d for d.
0
Suppose 1552 = -16*z + 1616. Solve -87 = -z*v - 99 for v.
-3
Let m(x) = -x**3 - 20*x**2 - 19*x - 2. Let y be m(-19). Let u be y - ((-8)/2 - -2). Let b be u - -2 - ((-10)/2 + 5). Solve b*r - 6 = 5*r for r.
-2
Let m(x) = 31*x + 270. Let j(p) = -47*p - 405. Let f(b) = -5*j(b) - 7*m(b). Let a be f(-7). Solve 0 = -3*q + a for q.
3
Let v(u) = -u**3 - 7*u**2 + 6*u - 4. Let p be v(-6). Suppose -2112 = 1387*c - 1365*c. Let l = p - c. Solve a - l = -3*a for a.
5
Suppose 62*s - 60*s = -5*u - 10, 0 = 3*s - 2*u - 42. Solve 24 = -7*j + s for j.
-2
Suppose 28*f - 33*f = -33*f + 616. Solve 6*o = f*o - 96 for o.
6
Let p = 16336 - 16336. Solve p = -51*w + 60*w + 18 for w.
-2
Let d(x) = -x**2 + 4*x - 5. Let r be d(2). Let b be (-954)/(-117) - (4/(-26))/r. Solve 2 = 2*s - b for s.
5
Let d = 1686 - 1655. Solve 14*l + d = -11 for l.
-3
Let n = 23373 - 23333. Solve 42*l = -n*l + 72*l for l.
0
Let d = 4607 + -4597. Solve 10*n + 30 - d = 0 for n.
-2
Let r(t) = 55*t**2 - t - 9. Let u be r(-3). Suppose -3*s = 438 - u. Solve 0 = 5*k - 42 + s for k.
5
Let b be (-1224)/17*(-3 + 3 + -2). Let q be (6/(-8))/((-54)/b). Solve -3*y = -0*y + q*y for y.
0
Let t(w) = w**2 - w + 1. Let p(g) = 9*g**2 + 37*g + 16. Let j(b) = -p(b) + 6*t(b). Let o be j(-14). Let h be ((-4)/(-18))/(3/27). Solve 0*l - h*l + o = 0 for l.
2
Let a(g) = g**3 - 11*g**2 + 18*g + 12. Let s be 6/33 - (-356)/(-22). Let m be (-3)/(-12) + (-140)/s. Let w be a(m). Solve -w - 8 = 5*q for q.
-4
Let s(g) be the third derivative of -7*g**3 + 0 + 7/12*g**4 - g**2 - 1/60*g**5 + 0*g. Let m be s(9). Solve -17 - m = 4*h for h.
-5
Let f(s) = -s**3 - 8*s - 9. Let x be f(0). Let z be 6/x*-9 - 1*-2. Suppose 24 = 6*a - 0*a. Solve a*r + 12 = z*r for r.
3
Let k be (39 + -1)/1 + 79/((-2449)/(-248)). Solve -k*x + 25 = -113 for x.
3
Let y be (-12)/(-9)*(-7 + -8). Let l = y - -23. Suppose 0 = -r + 3*j + 7, 0*r + 4*r - l*j = 10. Solve w - r = 2*w for w.
-1
Let q = -1101 - -1127. Solve -14 = -12*j + q*j for j.
-1
Let r = -513 + 520. Suppose -y + 11 = -d + r, 0 = -y - d + 4. Solve -8 = y*p + 12 for p.
-5
Let s(p) = p + 11. Let x be s(-3). Suppose 0 = 5*r - x*r + 30. Solve -3*o = 1 - r for o.
3
Let t be (0*(-6)/36)/(25 + -24). Suppose 5*o = -5*c + 20, -5*o + 4 + 7 = -4*c. Solve t = r + c for r.
-1
Let p be 4/10 + 348/(-20). Let a = p + 24. Suppose -d - 21 = 3*n, -3*n - 33 = -5*d - 12. Solve d = -2*c + a*c for c.
0
Let z(m) = 17*m**2 + 114*m + 4. Let o be z(-11). Solve 8*r - 759 = -o for r.
-6
Suppose -18 = -5*q - 3*k, -2*k - 13 = 2*q - 21. Suppose 3*m + q + 2 = 2*z, 0 = 4*z + 2*m - 18. Solve -l = -z*l - 9 for l.
-3
Let k(b) = 22 + 34*b + 29*b + 24*b - 85*b. Let f = -16 + 6. Let q be k(f). Solve 6 = q*z - 5*z for z.
-2
Let p(t) = 2*t**3 - 9*t**2 + 16*t - 48. Let w be p(4). Solve w = 2*x + 136 - 150 for x.
7
Suppose 3*n + 14 - 26 = 0. Let z(o) = 2*o**2 + 54*o + 197. Let i be z(-4). Solve -i = 17*c - n*c for c.
-1
Suppose -5*q + 5 = -5*b, 31*b - 3 = q + 34*b. Solve x + 3*x + 7*x = q for x.
0
Let x(g) = 7*g - 88. Let s be x(13). Suppose s*n + 21 = 6*n. Solve n*v = -21 - 0 for v.
-3
Let l(b) = -285*b - 518. Let z be l(-2). Solve -z = 8*f - 21*f for f.
4
Suppose -33 = -14*v + 3*v. Suppose -3 = -v*x + 6. Suppose -x*z = -6*z + 6. Solve -3 = 3*q - z*q for q
|
{
"pile_set_name": "DM Mathematics"
}
|
m {c: 1, o: 2, d: 4, p: 4, i: 3}. What is prob of sequence opc?
1/273
Calculate prob of sequence nn when two letters picked without replacement from {i: 4, y: 5, n: 6}.
1/7
Three letters picked without replacement from vyybvvvbdyvdyyvyvy. What is prob of sequence vdb?
7/1224
What is prob of sequence aqb when three letters picked without replacement from {x: 1, b: 1, v: 1, y: 1, q: 1, a: 2}?
1/105
Two letters picked without replacement from dcgc. Give prob of sequence gd.
1/12
Four letters picked without replacement from llluczcllczl. What is prob of sequence cuzc?
1/990
Calculate prob of sequence mr when two letters picked without replacement from rrrrrrrrmrmrrmrr.
13/80
Two letters picked without replacement from {s: 2, d: 1, x: 1, z: 5}. What is prob of sequence dx?
1/72
Three letters picked without replacement from ckcbm. What is prob of sequence kcm?
1/30
What is prob of sequence vii when three letters picked without replacement from {i: 1, p: 7, v: 2}?
0
What is prob of sequence yoy when three letters picked without replacement from {y: 7, o: 1}?
1/8
Three letters picked without replacement from {b: 5, r: 3, u: 1}. Give prob of sequence urr.
1/84
Calculate prob of sequence pi when two letters picked without replacement from {c: 6, p: 2, t: 1, i: 3, d: 2}.
3/91
Three letters picked without replacement from kakakxakxxka. Give prob of sequence kka.
2/33
Calculate prob of sequence gg when two letters picked without replacement from {g: 4, d: 1, c: 4, s: 2}.
6/55
Four letters picked without replacement from bttffibffififbfitii. What is prob of sequence tbfb?
7/5168
Two letters picked without replacement from {h: 1, v: 1, s: 4, r: 3, i: 6}. Give prob of sequence sr.
2/35
Three letters picked without replacement from {n: 2, l: 5, d: 8}. Give prob of sequence ddn.
8/195
Three letters picked without replacement from {n: 2, o: 1, j: 2, x: 1, f: 1, a: 1}. What is prob of sequence afn?
1/168
Calculate prob of sequence ggf when three letters picked without replacement from {g: 2, f: 5}.
1/21
Calculate prob of sequence prrp when four letters picked without replacement from prrppppp.
1/28
Three letters picked without replacement from errfrxfrej. What is prob of sequence fjr?
1/90
Two letters picked without replacement from {c: 11, r: 5}. Give prob of sequence cc.
11/24
Four letters picked without replacement from eeeazttezeza. What is prob of sequence ztta?
1/990
Calculate prob of sequence dqy when three letters picked without replacement from nyqqnnqqqnnydnyyynn.
25/5814
What is prob of sequence cc when two letters picked without replacement from {c: 2, x: 1, a: 11}?
1/91
Calculate prob of sequence zz when two letters picked without replacement from {m: 6, z: 2}.
1/28
What is prob of sequence ff when two letters picked without replacement from {f: 2, x: 1}?
1/3
Three letters picked without replacement from {y: 5, n: 3, o: 3, i: 1, m: 3}. What is prob of sequence mmo?
3/455
Two letters picked without replacement from {z: 5, j: 5, p: 4}. What is prob of sequence zj?
25/182
Three letters picked without replacement from mumumwmwmmmuu. Give prob of sequence mmm.
35/286
Four letters picked without replacement from hhssdjz. Give prob of sequence hdjh.
1/420
Calculate prob of sequence iz when two letters picked without replacement from {z: 7, i: 12}.
14/57
Four letters picked without replacement from {r: 1, o: 2, k: 1, w: 5, c: 7, x: 4}. What is prob of sequence roko?
1/58140
Four letters picked without replacement from aaammmmxamamma. Give prob of sequence aamx.
5/572
Four letters picked without replacement from {n: 7, q: 6, g: 1}. What is prob of sequence gnqq?
5/572
Calculate prob of sequence ggg when three letters picked without replacement from {g: 10}.
1
Calculate prob of sequence jjkk when four letters picked without replacement from kjkkjkkj.
1/14
What is prob of sequence fff when three letters picked without replacement from ufuvfuuuufuufu?
1/91
Calculate prob of sequence ta when two letters picked without replacement from {t: 3, u: 1, a: 1}.
3/20
Three letters picked without replacement from {e: 6, z: 1, p: 6, c: 6}. Give prob of sequence ezp.
2/323
What is prob of sequence zez when three letters picked without replacement from {e: 4, z: 8, k: 4}?
1/15
Calculate prob of sequence ts when two letters picked without replacement from {s: 1, h: 1, t: 2, y: 10}.
1/91
Four letters picked without replacement from qqkqkqqkqkkkkqqkqqk. Give prob of sequence qqqq.
35/646
Two letters picked without replacement from {c: 1, o: 2, b: 3, n: 4, k: 6}. What is prob of sequence cb?
1/80
Calculate prob of sequence vv when two letters picked without replacement from wcvvy.
1/10
What is prob of sequence ik when two letters picked without replacement from djbjbdbjidjkd?
1/156
Three letters picked without replacement from kdqkkkkakdkqdkkkl. Give prob of sequence qal.
1/2040
Calculate prob of sequence ll when two letters picked without replacement from {s: 4, c: 3, l: 9}.
3/10
What is prob of sequence yp when two letters picked without replacement from {y: 2, p: 1}?
1/3
Four letters picked without replacement from tlttttlt. What is prob of sequence tltt?
1/7
Three letters picked without replacement from rhhhhrhrhh. What is prob of sequence hhh?
7/24
Three letters picked without replacement from {r: 1, o: 1, h: 8, g: 3, u: 3, e: 3}. Give prob of sequence hrg.
4/969
Three letters picked without replacement from hwhhwuauahwwyhwh. Give prob of sequence hyh.
1/112
Two letters picked without replacement from {w: 1, u: 1, t: 1, a: 11, s: 3, b: 3}. What is prob of sequence us?
3/380
Two letters picked without replacement from {l: 3, f: 3, r: 3, j: 1, e: 1, w: 2}. Give prob of sequence wr.
1/26
Two letters picked without replacement from {i: 1, c: 4, r: 1, w: 1, n: 4, j: 1}. Give prob of sequence nn.
1/11
What is prob of sequence nh when two letters picked without replacement from hlknnkbkk?
1/36
Calculate prob of sequence wrr when three letters picked without replacement from crrw.
1/12
What is prob of sequence obcb when four letters picked without replacement from {s: 1, b: 2, o: 1, c: 2, y: 1}?
1/210
Three letters picked without replacement from {r: 7, a: 3, z: 2}. Give prob of sequence ara.
7/220
Two letters picked without replacement from ovvvvvvovvvovvvvvvov. Give prob of sequence vv.
12/19
What is prob of sequence yt when two letters picked without replacement from vyyvvyvyyvyvvtyvyvv?
4/171
Four letters picked without replacement from dsds. What is prob of sequence ddss?
1/6
Three letters picked without replacement from {v: 6, q: 1, i: 4, b: 5}. Give prob of sequence vbq.
1/112
Four letters picked without replacement from {u: 4, s: 6}. What is prob of sequence ssus?
2/21
What is prob of sequence
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 2*g**2 - 3*g**2)*(4 + 1 - 3) - 10*g**2 + 29*g**2 - 130*g**2 - g**2 + 2 - 2 in the form r + k*g**2 + l*g and give k.
-122
Rearrange (4 - 1 - 1)*(3 - 3 + 2*k)*(-53*k + 71*k - 50*k) to the form a*k**2 + v + c*k and give v.
0
Rearrange g + 7*g**2 - 380*g**3 + 189*g**3 + 189*g**3 + 10 to s + r*g**3 + d*g**2 + p*g and give p.
1
Express 28*b - 96*b - 6*b + 1 - 11 + 7*b as h + l*b and give h.
-10
Rearrange 10*s - 19*s - 242*s**2 + 2196*s**2 + 9*s to the form j + x*s + b*s**2 and give b.
1954
Express (6 - 2 - 3)*(v**2 + 2*v**2 - 4*v**2) + 3*v**2 + 4*v**2 - 4*v**2 + 201*v**2 - 2339*v - 55*v**2 + 2341*v as d*v + r + h*v**2 and give h.
148
Express 16*p**3 + p**2 + 0*p**2 - 2 - 2 - 2*p**3 as j*p**2 + s*p**3 + t*p + y and give j.
1
Express (-2*j + 2*j + j)*(-13 - 6 + 9)*(-1 + 0 + 2 + (0 + 5 - 3)*(-1 + 4 - 1)) in the form w + n*j and give n.
-50
Express 0*p**3 - 3*p**3 + 4*p**3 + 87*p + 1 - 89*p - 10*p**4 - 3*p**3 + 2*p**2 in the form w*p**3 + d*p**2 + i*p**4 + f + m*p and give d.
2
Rearrange (0*q + 2*q**2 + 0*q)*(4 - 1 - 2) + 0*q**2 - 2*q**2 + q**2 + 0*q**2 + 2*q**2 - q**2 + (2*q + 5*q - 2*q)*(q + 0*q - 8*q) to j + o*q**2 + i*q and give o.
-33
Express (-2 + 5 + 2 + (2 + 1 - 2)*(-54 + 57 - 60))*(1 + 2 - 2)*(-3 - 2*k + 3) in the form c + j*k and give j.
104
Express 2*b**4 - 2*b**3 - 31*b**2 + 12*b**3 + 12*b**3 - 20*b**3 in the form y*b**4 + r*b + q*b**2 + c + n*b**3 and give n.
2
Rearrange -16 + 15 - 12*s + 10*s to the form l*s + u and give u.
-1
Rearrange (4*r - 1 + 1)*(-107*r + 224*r - 115*r - 405) to the form a + g*r + p*r**2 and give p.
8
Express -3 + 9*k**3 + 2*k**4 + 18*k + k**2 - 39*k + 23*k + 4 as i + l*k + f*k**3 + c*k**4 + o*k**2 and give o.
1
Rearrange -4*v + 2*v + 4*v + (1 - 1 + 2*v)*(0 + 2 + 0) + 4*v - 4*v + v + 460 - 458 + 66*v + 65*v to the form w + d*v and give w.
2
Express (4*d**2 - d**2 - d**2)*(-288*d - 126 + 38 + 44 + 39) as c*d**2 + n*d + r*d**3 + x and give c.
-10
Express -2*s**3 + 3*s**3 - 3 + 8 + 0*s**3 - 2*s**4 - s**2 - 10*s - 7 in the form h*s**4 + l + r*s + o*s**3 + y*s**2 and give y.
-1
Rearrange 2*g**2 + 0*g**2 + 3*g**2 + (-3*g - g - 2*g)*(-4 + 4 + g) - g**2 + 4*g - 4*g - 5*g**2 - 11*g + 11*g to u*g + n*g**2 + y and give n.
-7
Rearrange p + 14 - 14 + (-3 + 3 - 1)*(-3*p - p + 5*p) - 3 - p + 3 + 2*p - 4*p + p + 2*p + 4 + p - 2 to v*p + b and give v.
1
Rearrange (-1 - 3 + 3)*(0 + 4 + 0)*(-30*q**2 - 28 + 28) to n*q**2 + v + c*q and give n.
120
Express 4 + 2*b - 3 - 2 + 20 + b - 20 + (2*b + 3*b - 4*b)*(5 - 2 - 1) + b + 4 - 4 in the form o*b + v and give o.
6
Rearrange -t**2 - 7 - 6*t - 5*t - 2*t + 11*t + 2*t**3 to the form x*t + f*t**2 + i + a*t**3 and give f.
-1
Express -8 - 133*j - 119*j + 32*j + 10 as b + v*j and give b.
2
Express 233*s**2 + 2*s**3 - 96*s**2 + 2*s - 2 + 0*s**3 as o*s**2 + f*s + u*s**3 + y and give u.
2
Express (951 + 430 - 184)*(3*n + 1 - 1) as c*n + t and give c.
3591
Express 2*k - 6*k + 0*k + (2 - 2 + 3*k - 2 + 2 + k + (-1 + 1 + k)*(-1 + 2 + 0) + k + 0*k + 0*k - 3*k + 2*k + 2*k)*(-9 - 58 + 7) as g + i*k and give i.
-424
Express 2 - 1 + 5*p + 4 - p - p in the form w*p + m and give w.
3
Express 2 + 14 - 15 + 21*h in the form i*h + c and give i.
21
Rearrange (259 + 276 - 563)*(0 + 1 - 3 + 2*w) to the form l + t*w and give l.
56
Rearrange (17 + 24 - 6)*(0*z - 10*z + 0*z) to the form t + c*z and give c.
-350
Express -11*j**4 + j**4 - 3*j**3 - 9 + 6*j**4 + j**4 as n*j**2 + i*j**3 + r*j + d + x*j**4 and give d.
-9
Rearrange (-11741 + 23433 - 11761)*(0 - 1 - 1)*(r + 3*r - 5*r)*(2*r**2 - 3*r + 3*r) to v*r**2 + o + w*r + z*r**3 and give z.
-276
Rearrange -20 - 30*d**3 + 17*d**3 + 19 + d - 28*d**3 to k*d + j*d**3 + y + z*d**2 and give k.
1
Rearrange (-20 - 22 + 17)*(q - 6*q + 4*q) to f*q + g and give g.
0
Rearrange 116*p**3 + 1 + 2314*p**2 - 2316*p**2 - 1 - 19*p**3 to b*p + h*p**3 + u*p**2 + k and give h.
97
Rearrange -1330*t + 93*t - 1009*t + 61*t to the form w + m*t and give m.
-2185
Express -10*x**2 - 7*x**2 - 6*x**2 - 22*x**2 in the form c + u*x**2 + v*x and give c.
0
Express 69*v**3 + 16*v**
|
{
"pile_set_name": "DM Mathematics"
}
|
minutes in milliseconds?
18047178
What is 0.1412361 nanometers in kilometers?
0.0000000000001412361
What is 5/4 of a tonne in kilograms?
1250
How many micrometers are there in eleven tenths of a centimeter?
11000
What is 74.48826ms in nanoseconds?
74488260
What is thirteen quarters of a century in months?
3900
How many millilitres are there in one fifth of a litre?
200
How many milligrams are there in 1/4 of a gram?
250
What is five quarters of a meter in centimeters?
125
What is 29317.518 seconds in days?
0.339323125
How many millennia are there in 93303.24 decades?
933.0324
How many years are there in 1.387029 months?
0.11558575
How many grams are there in 1/20 of a kilogram?
50
How many minutes are there in one fifth of a hour?
12
How many months are there in 1/24 of a century?
50
How many milligrams are there in 8382.417 kilograms?
8382417000
What is sixty-seven fifths of a century in months?
16080
What is eleven halves of a decade in years?
55
How many seconds are there in 14/9 of a hour?
5600
How many millimeters are there in five eighths of a meter?
625
How many months are there in 7/6 of a millennium?
14000
What is 44/5 of a minute in seconds?
528
How many milligrams are there in three tenths of a gram?
300
What is 13/5 of a litre in millilitres?
2600
What is 48.30571 millimeters in nanometers?
48305710
How many centimeters are there in 779340.1um?
77.93401
What is 70189.902ms in days?
0.000812383125
How many centuries are there in 2703.09 millennia?
27030.9
What is 90.29356kg in micrograms?
90293560000
How many millennia are there in 43.33517 centuries?
4.333517
Convert 13504172.85 seconds to weeks.
22.328328125
What is 21.88828 milligrams in micrograms?
21888.28
How many micrometers are there in 41/2 of a millimeter?
20500
How many millilitres are there in 55/4 of a litre?
13750
How many nanometers are there in 1/20 of a micrometer?
50
How many months are there in twenty-three eighths of a millennium?
34500
How many centimeters are there in 53/4 of a meter?
1325
How many millimeters are there in 3.682384um?
0.003682384
How many millilitres are there in 791.1469 litres?
791146.9
How many micrograms are there in 73/5 of a milligram?
14600
Convert 64163.46 nanometers to centimeters.
0.006416346
Convert 524.1869 centuries to decades.
5241.869
How many litres are there in 1.486367 millilitres?
0.001486367
What is 3/5 of a micrometer in nanometers?
600
What is 45893.23 nanometers in millimeters?
0.04589323
Convert 459.9722ns to seconds.
0.0000004599722
What is 6/5 of a centimeter in micrometers?
12000
How many centimeters are there in 6/25 of a meter?
24
What is 0.9939658ml in litres?
0.0009939658
How many months are there in 32/5 of a century?
7680
How many litres are there in 7.40936ml?
0.00740936
How many months are there in 85.96481 millennia?
1031577.72
What is 11/8 of a centimeter in micrometers?
13750
How many centimeters are there in seven eighths of a kilometer?
87500
What is thirty-two fifths of a millimeter in micrometers?
6400
What is 7.07473cm in kilometers?
0.0000707473
How many millilitres are there in 32/5 of a litre?
6400
How many months are there in 29/5 of a millennium?
69600
How many milliseconds are there in 51073.66 days?
4412764224000
How many micrograms are there in 3/32 of a gram?
93750
How many months are there in 37/5 of a decade?
888
What is 6588.19 litres in millilitres?
6588190
How many years are there in 2269575.6 months?
189131.3
How many nanometers are there in 700914.4 centimeters?
7009144000000
How many microseconds are there in 8.495051 nanoseconds?
0.008495051
How many nanometers are there in 3/50 of a millimeter?
60000
Convert 728506.1 millilitres to litres.
728.5061
How many milligrams are there in 19/4 of a gram?
4750
What is 25/2 of a minute in seconds?
750
How many micrograms are there in 680.815ng?
0.680815
How many millimeters are there in 17/2 of a meter?
8500
How many litres are there in 220.4817 millilitres?
0.2204817
How many nanometers are there in 1.24432m?
1244320000
How many micrograms are there in 3/5 of a milligram?
600
What is 7/2 of a second in milliseconds?
3500
What is 33/5 of a gram in milligrams?
6600
How many micrograms are there in 3/32 of a gram?
93750
How many millilitres are there in 6.379873 litres?
6379.873
How many milligrams are there in ninety-one halves of a gram?
45500
What is 3/50 of a litre in millilitres?
60
What is 59/5 of a centimeter in millimeters?
118
How many months are there in 0.8948888 decades?
107.386656
What is 2.217029 micrograms in milligrams?
0.002217029
Convert 1.96252 centuries to decades.
19.6252
What is 41/2 of a milligram in micrograms?
20500
What is 7/4 of a kilogram in grams?
1750
How many centimeters are there in 5.980247nm?
0.0000005980247
How many days are there in 19.701009us?
0.0000000002280209375
Convert 75620.28 months to millennia.
6.30169
Convert 8377.158 centimeters to meters.
83.77158
What is 56.86984 decades in years?
568.6984
What is 8389.69ml in litres?
8.38969
How many hours are there in 46.997442 milliseconds?
0.000013054845
How many micrometers are there in one quarter of a millimeter?
250
What is 0.2291213 millilitres in litres?
0.0002291213
What is 95.40612ug in grams?
0.00009540612
How many years are there in 11/4 of a millennium?
2750
How many milliseconds are there in 0.7729898 weeks?
467504231.04
What is thirty-two fifths of a second in milliseconds?
6400
Convert 1.616972 meters to micrometers.
1616972
What is 74427.92ml in litres?
74.42792
Convert 629370.7ml to litres.
629.3707
Convert 8.978459 decades to years.
89.78459
What is 9.549241 weeks in milliseconds?
5775380956.8
What is 13.173948 nanoseconds in days?
0.00000000000015247625
What is 0.626739 days in minutes?
902.50416
What is 9263.264mg in nanograms?
9263264000
How many millilitres are there in three fifths of a litre?
600
How many millilitres are there in 3/40 of a litre?
75
Convert 828.052 years to months.
9936.624
How many kilograms are there in 637766.8 micrograms?
0.0006377668
Convert 672410.48 days to weeks.
96058.64
What is fifty-three fifths of a millimeter in micrometers?
10600
What is 19.52936 seconds in nanoseconds?
19529360000
How many minutes are there in thirteen ninths of a week?
14560
How many micrometers are there in fifty-three quarters of a millimeter?
13250
What is 15/4 of a milligram in micrograms?
3750
How
|
{
"pile_set_name": "DM Mathematics"
}
|
+ (-k + 0*k + 3*k)*(-1 + 3 + 0) + 2*k + 0*k - 3*k.
4*k
Expand -t**2 + 0*t**2 - 3*t**2 + 2 - 2 + 2*t**2 + t**2 - 1 + 1 + (-2 + 2*t + 2)*(-3*t + 0*t + 4*t).
t**2
Expand (6*n**2 + n**3 - 9*n**2 - 3*n**3)*(-3*n**2 + 2*n**2 + 3*n**2).
-4*n**5 - 6*n**4
Expand p - 7*p + 2*p + (5*p + 3*p - 6*p)*(1 - 2 + 0) - p + 0 + 0 - 2*p - 5 + 3*p + 3 + 3*p + 2*p - 4*p.
-5*p - 2
Expand 1 + 1 - 1 + 14*z**2 + (-1 + 1 - z)*(-z + 2*z + 0*z).
13*z**2 + 1
Expand (-51 + 3*z + 51)*((-2 + 3 - 2)*(3 + 1 - 3) + 0 + 1 + 1).
3*z
Expand (2 + 2*j - 2)*(-6*j - j - 3*j) + 3*j**2 - 5*j - 2*j**2 + 6*j.
-19*j**2 + j
Expand 3*s**5 + 0*s**5 + 0*s**5 + (0 + 0 - s)*(2*s**4 - 2 + 2) - s**2 + s**2 + 3*s**5.
4*s**5
Expand (0*z**4 - 3*z**4 + 4*z**4)*(0 + 5 - 4 + (-4 + 0 + 2)*(1 + 1 + 0)).
-3*z**4
Expand (-4*m**3 + m + 0*m**3 + 0*m**3)*(-3*m + 2*m + 4*m).
-12*m**4 + 3*m**2
Expand 4*g**4 - g**4 - 2*g**4 + (56*g**4 + 2*g**4 - 24*g**4)*(0 + 3 - 1).
69*g**4
Expand (-4*j**4 + 0*j**4 + 2*j**4)*(-5 + 5*j + 5)*(-1 + 1 - 2) + j**5 - 2*j**4 + 2*j**4.
21*j**5
Expand (941 - 941 - 47*c)*(0 + 1 + 1).
-94*c
Expand (0*q + q + q)*(q + 5*q - 4*q) + (1 + 14*q + 3*q**2 - 14*q)*(1 + 1 - 4).
-2*q**2 - 2
Expand (2 - 2 - 2)*(2*t - 5*t + 4*t + (-5*t + 2*t + 4*t)*(3 - 5 + 3)).
-4*t
Expand (0*x**3 + 0*x**3 - x**3)*(-x**2 - x**2 + 3*x**2) - 2 - 5*x**3 + 5*x**3 + 2*x**5.
x**5 - 2
Expand 14*m + 3*m - 3*m - 2*m + 3*m + 0*m + (3 - 3 + 2)*(2*m - 3*m + 2*m) - 1 + 2*m + 1.
19*m
Expand (-8 + 8 + 17*d**2)*(-5*d + 2*d + d).
-34*d**3
Expand (6 - 6 - n**2)*(4 - 4 - 11*n**2 + (7*n**2 - n**2 - 4*n**2)*(-1 - 5 + 4)).
15*n**4
Expand (-2 - 2 - 9*b**2 + 10*b**2)*(-2*b**3 + 2*b**2 - 2*b**2)*(-5 + 2 + 4).
-2*b**5 + 8*b**3
Expand (-11 + 28 + 18)*(-3*c + 2*c + 2*c).
35*c
Expand (-3*x + 4*x + 0*x + (2 - 2 - 2*x)*(6 + 2 - 4) + (2*x + x - x)*(0 + 4 - 5))*(-3 + 0 + 7).
-36*x
Expand (13 - 11*r - 13)*(r + 4*r - 6*r + (3*r - r - r)*(2 + 2 - 2) - 2 + 2 + 2*r + 0*r + 4*r - 3*r + 3 + 3*r - 3).
-77*r**2
Expand (2 - 2 - 2)*((2 + 2 - 2)*(-1 + 1 - 2*f) + f - 3*f + 5*f).
2*f
Expand (34*z**2 + 43*z**2 - 8*z**2 + (0*z - 2*z + 0*z)*(2 - 2 - z))*(0 + 0 + 2*z).
142*z**3
Expand (3 + 0 - 1)*(-17*f - 11 + 11).
-34*f
Expand (-1 + 1 + 2*p + 3 - 2*p - 3 - p + 0*p + 3*p + (-1 + 2*p + 1)*(2 + 0 - 1) + 9*p + 4*p - 9*p)*(4*p + p - 3*p).
16*p**2
Expand (2*c**2 + 2*c**2 - c**2 - 3)*(-4 - 3 + 2).
-15*c**2 + 15
Expand k**3 + 2 - 2 + (4*k + 0*k - 3*k)*(-3*k**2 - 4 + 4) + (k**2 - k**2 - 2*k**2)*(2*k - 1 + 1) + 0*k**3 + 0*k**3 - 2*k**3.
-8*k**3
Expand (4*x - 2*x + 0*x)*(-25 - 22 - 6).
-106*x
Expand -2*k**5 + 0*k**5 + 0*k**5 + (-4*k + 5*k**2 + 4*k)*(-4*k**3 + 0*k**3 + 6*k**3).
8*k**5
Expand (3 + 0 - 1)*(-6 + 6 - 2*a**2 + a + 3).
-4*a**2 + 2*a + 6
Expand w**4 + 1 - 1 + (3*w - 2*w - 2*w)*(-w**3 + 2*w**2 - 2*w**2) - 3*w**4 - w**4 + w**4 + 7*w**4 - 3*w**4 - 7*w**4.
-4*w**4
Expand (2*s + 0 - 4*s + 4)*(0*s + 2*s + s).
-6*s**2 + 12*s
Expand (y**3 + 2*y**3 - 4*y**3)*(4*y**2 - 1 - 4*y**2 + 3*y**2).
-3*y**5 + y**3
Expand 0*s - s - s + (6*s - 5*s + s)*(-5 + 5 - 2) + s + s - 3 - 3*s.
-7*s - 3
Expand (-3*q**2 + 3*q**3 + 3*q**2)*(3*q - 2*q - 4*q).
-9*q**4
Expand (-4*h**5 + 12*h**5 + 0*h**5)*(-2 + 4 - 3).
-8*h**5
Expand (2*r**4 + r**4 - 2*r**4)*(2 + 2 - 3) - 72*r**2 + r + 72*r**2 - 2*r**4.
-r**4 + r
Expand (2*l + 2 - 2)*(-3 + 2 - 1) + 0*l + l - 3*l - l - 4*l + 2*l.
-9*l
Expand (5*d - 4*d - 3*d)*(-3*d**4 + 4*d**4 + d**4) + (1 + 2 - 2)*(-d**5 + 3*d**5 + 0*d**5).
-2*d**5
Expand 2*u**4 + 2*u - 2*u + 4*u**4 + u**4 - 3*u**4 + (u - 4*
|
{
"pile_set_name": "DM Mathematics"
}
|
-5*v + 2*x - 48 = 0, -5*v - 5*x = 292 - 272 for v.
-8
Solve -4*b + 4 = -m, m + 4*b + 24 = 28 for m.
0
Solve -5*h - 5956 + 5985 = 2*j, -7 = -3*h + 4*j for h.
5
Solve -1484*h - 7 = -1481*h - 4*m, -4*h - m - 3 = 0 for h.
-1
Solve -3*o + 15*t + 60 = -0*t, 2*o - 10 = 4*t for o.
-5
Solve -5*u + 20 = 0, 7*l - 25*u = 2*l - 23*u - 43 for l.
-7
Solve -5*r + 2*w - 28 = 0, -2650*w + 2653*w = -r + 8 for r.
-4
Solve -5*t - 1307 + 1292 = -h, -5*t - 6*t = h + 33 for t.
-3
Solve -3*k = -5*a, 3665*a - 3663*a = 3*k - 9 for a.
3
Solve 0 = -5*u - 5, 3*d - 14 = 769*u - 767*u for d.
4
Solve 30 = -v + 5*o, 4*v + 1657 - 1632 = o for v.
-5
Solve 55 = -3*s + s + 15*p, 2*s = 4*p - 22 for s.
-5
Solve -4*r + 12*s + 42 = 9*s, -19*s = 4*r + 178 for r.
3
Solve j = 3*t + 9, -3*t + 2112 = 3*j + 2097 for t.
-1
Solve 2*s - 10 = -4*o, 3*s - 77118*o - 12 = -77121*o for s.
3
Solve -t - 6*x = -55, 4071*t - 24 = 4074*t - 3*x for t.
1
Solve -75*v + 5*j = -77*v + 11, -2*v + 3*j = -19 for v.
8
Solve 5*p - s = 6*p + 2, -68 = 4*p + 14*s for p.
4
Solve -10*q + 6734 - 6779 = 5*p, 25 = -5*q for p.
1
Solve -4*y - 20 + 21 = i, 4*y - i = 7 for y.
1
Solve -3*b + v + 1 = 0, 3*b - 4*v + 1133 - 1119 = 0 for b.
2
Solve -2060*i = -2057*i - 5*z - 8, -2*i + 1 = z for i.
1
Solve 8273*a + 3*i = 8278*a - 47, -5 = -a + 5*i for a.
10
Solve 3*n + 5*g - 98 = -17, n + 9*g = 159 for n.
-3
Solve 10 = -2*l - h, 2357*l - 14 = 2359*l + 3*h for l.
-4
Solve 4*f - 72 + 76 = 0, 2*g = -4*f - 12 for g.
-4
Solve 0 = -4*f + 25*x - 13*x + 72, 8 = -4*f - 4*x for f.
3
Solve 24 - 11 = -4*o - 5*t, -6 = -2*t for o.
-7
Solve 179*a - 181*a + 37 = 9*c, a - 4*c + 24 = 0 for a.
-4
Solve 98*z + 31 = -13*l + 95*z, 0 = 5*l + 4*z + 29 for l.
-1
Solve -46*d - 6 = -43*d, 0 = -5*o + 5*d for o.
-2
Solve 3*f - 29*l + 32*l + 3 = 0, -2*f - 2 = -l for f.
-1
Solve 4*b + 3*g + 70993 = 71010, -3*b - 3*g = -12 for b.
5
Solve -c + 9 = -a, 8106*a - 8102*a + 2*c - 48 = 0 for a.
5
Solve 15 = -5*n + 5*r, -2*n + r + 1 = 4 for n.
0
Solve 2*c - 4 = -3*x, 3*c + 34*x - 13 = 33*x for c.
5
Solve 0 = -4*n - 4*b - 4, 19*b = -4*n + 22*b - 25 for n.
-4
Solve 784*l = -3*q + 788*l - 41, -60 = 5*q - 5*l for q.
-7
Solve -5*a = 15, -4*a = p + 10 + 6 for p.
-4
Solve -1917 + 1910 = z - f, 0 = -5*z - 4*f - 8 for z.
-4
Solve -16*u + k = 21, 225*u + 4*k - 18 = 223*u for u.
-1
Solve -236*s + 233*s + 6*g = 0, -12 = -s - 2*g for s.
6
Solve -5*y + 56 - 52 = -2*p, 0 = y + 9*p + 112 for y.
-4
Solve 17 = -2*m + 5*z, -40 = 8*m - 13*m - 4*z for m.
4
Solve -155*f - 4*u - 330 = 0, -2016 + 2004 = -4*f + 4*u for f.
-2
Solve 9*v - 6*v = 5*p + 37, -2*p - 14 = -v for p.
-5
Solve -12 = 3*o, 36*y - 604 = 17*o - 10*o for y.
16
Solve -2*y = -r - 2049 + 2031, 3*y = -2*r - 8 for y.
4
Solve -3 = -2*m + o, -3*o = 9*m - 43 - 8 for m.
4
Solve -1 + 4 = r + 5*a, -146 = -3*a - 146 for r.
3
Solve w = 46*p - 45*p + 2, 0 = 2*w + 5*p - 18 for w.
4
Solve -51*u = -50*u - 5*q - 5, -u + 4 = -4*q for u.
0
Solve 8 = 3*f + 42*g - 40*g, -g = 4*f - 9 for f.
2
Solve 0 = 4*a + 7*v - 35, 10*v - 406 = a - 356 for a.
0
Solve l + 5*x = -23, 4*l - 3374 + 3402 = -4*x for l.
-3
Solve -3*x + l = -25, 2*x - 5*l - 127 = -54 for x.
4
Solve 0 = -2*z - r + 7, 63*z - 4*r - 5 = 60*z for z.
3
Solve -5*c - 20216*x = -20215*x + 20, 3*c + 5*x = -56 for c.
-2
Solve 3*g + 6 = 0, -3*g - 523 + 514 = -3*u for u.
1
Solve -108*m + 6*i = -103*m + 31, 5*i + 31 = -m for m.
-11
Solve 3*a + 215 = 3*z + 200, 0 = -5*z + 7*a + 29 for z.
3
Solve -4*k - 7 = 7*p + 23, 3*k = -3*p - 18 for p.
-2
Solve 0*z + z = -2*y + 16, 5*y = -3*z + 46 for y.
2
Solve 2*k - x = 2, 1983*k - 1980*k - 25 = -4*x for k.
3
Solve -31*g + 14 = -3*t - 33*g, 0 = 3*t - 3*g + 9 for t.
-4
Solve -86*g + 90*g = 5*l + 2, 0 = -5*g - l - 12 for g.
|
{
"pile_set_name": "DM Mathematics"
}
|
65 = 33. Suppose -296 = -g*q + 5*v, -v = 2*q + 11 - 283. Does 69 divide q?
True
Let l be 20/3 + 4*4/(-24). Suppose 0 = u + l*u. Suppose u = -2*i + n + 39, 0*n - 39 = -3*i - 5*n. Is i a multiple of 6?
True
Let m = -5 - -8. Suppose 107*n - 114*n = -21. Suppose 0 = -n*d - 12, -m*y + 2*d = -d - 84. Is 22 a factor of y?
False
Let b = 10 + -33. Let l be 1 + -1 + (154/(-22))/(-7). Is l*b/3*(-18)/6 a multiple of 13?
False
Suppose -6974*h = -6979*h + 99675. Is h a multiple of 15?
True
Is (15/6 - 889/14*-145) + 1 a multiple of 151?
True
Suppose -20*i + 36*i = 18848. Is 19 a factor of i?
True
Suppose -188782 = -2061*w + 2057*w - 2*z, 5*z + 47212 = w. Is w a multiple of 56?
False
Let x(q) = q**3 + 23*q**2 - 26*q - 53. Let t(f) = -4*f**3 - 70*f**2 + 78*f + 161. Let d(u) = -2*t(u) - 7*x(u). Does 35 divide d(21)?
True
Is 9 a factor of 624/572 + 985862/22?
False
Is 13 a factor of ((-893)/94 - -6)*(60400/(-14))/2?
False
Suppose 244*t = -2*q + 245*t + 2766, -q + 3*t + 1388 = 0. Does 44 divide q?
False
Let y(a) be the third derivative of -a**5/30 - a**4/8 - 7*a**3/2 - 21*a**2. Let m be y(-5). Let t = m - -107. Is t a multiple of 5?
False
Let r(u) = 24*u - 28. Is r(17) a multiple of 115?
False
Suppose 0 = -3*m - 5*k - 383, 8*k - 11*k = 2*m + 255. Suppose f = 2*l - 94, -4*f + 5*l - 132 = 259. Let r = f - m. Is r a multiple of 11?
True
Suppose -4*c - 2*q + 28 = 0, 0 = 4*c - 3*q - 10 - 18. Suppose 10*o - 3 = c*o, 0 = -h - 3*o + 6. Does 2 divide h?
False
Suppose -47240 = -40*b - 5015 - 2425. Is b a multiple of 25?
False
Let x = 569 + -577. Let u(l) = -l**3 - 3*l**2 - 4*l - 16. Does 7 divide u(x)?
True
Suppose -5386 = 44*d - 54*d - 116. Is 110 a factor of d?
False
Let l = 502 + -258. Suppose -7*c - 183 = l. Let d = 112 + c. Is d a multiple of 12?
False
Suppose -19102 = -2*q + 4*d, 2*d + 7 - 19 = 0. Does 2 divide q?
False
Let t(b) = -b**2 - b. Let j be t(0). Let s(h) = 290 + h - h**3 + j*h**3 - h + 2*h. Is s(0) a multiple of 18?
False
Suppose 0 = -108*l - 65*l + 123*l + 317500. Is l a multiple of 4?
False
Let n(w) = -w**3 - 65*w**2 + 19*w - 939. Is n(-66) a multiple of 3?
True
Let j = 2156 - 1400. Suppose -8*p + 9*p - j = 0. Is 12 a factor of p?
True
Suppose -2*m = -3*c + 17, -4*c = -m + c + 9. Is (-6452)/m + -2 + 7/4 a multiple of 47?
False
Let k(a) = 5*a**2 + 0 + 5*a + a + 2. Let c be 2*(-15)/10*1. Is 12 a factor of k(c)?
False
Let t(p) = -p**3 + 5*p**2 - 6*p + 11. Let v be t(4). Suppose v*b - x = 1313, -8*x + 10*x + 10 = 0. Is 4 a factor of b?
True
Let o(x) be the third derivative of -x**6/120 - x**5/5 - 25*x**4/24 + x**3 - x**2 + 24*x. Is 51 a factor of o(-12)?
True
Let j(v) = 2*v - 46. Let i be j(27). Does 54 divide -1*(-5)/20 - (-2670)/i?
False
Let r be (8/10)/(-4)*0. Suppose 33*c - 2390 - 3583 = r. Is 4 a factor of c?
False
Let g(q) = 4633 + q - 4666 - 5*q. Suppose 5*a + 2 = -4*b - 40, -5*a + 2*b - 54 = 0. Is 5 a factor of g(a)?
False
Let u = -537 + 548. Let k(j) = 7*j**2 + 9*j - 25. Does 35 divide k(u)?
False
Suppose -w - 6*w = -2128. Is (36/(-16))/((-12)/w) a multiple of 19?
True
Let u(m) = 9*m - 68. Let d be u(8). Suppose 5*l - d*l = 294. Does 14 divide l?
True
Let v be 8/(-44) + 13262/(-22). Let w = 734 + v. Is w a multiple of 11?
False
Is 39 a factor of ((-61)/2)/(30/(-4380))?
False
Suppose -564*r - 47980 = -584*r. Is r a multiple of 27?
False
Suppose -2*p = -2*j + 364 - 2682, 4*p + 5*j - 4600 = 0. Is p a multiple of 11?
True
Let m(s) = -103*s + 7. Let i = -32 + 34. Let j be m(i). Does 22 divide j/(-3) - 1/3?
True
Suppose 113*h - 4798880 = 370079. Is 15 a factor of h?
False
Let w(h) = h + 13. Let u be w(-4). Let p be (-1 + 34/4)/(u/12). Suppose 512 = 18*k - p*k. Does 8 divide k?
True
Suppose -22 = 2*w - 2*k, -2*k = -w - 0*w - 8. Let j(b) = 12*b - 5 - 26 + 57*b - 84*b. Is j(w) a multiple of 21?
False
Let w(s) = 10772*s**2 + 139*s + 140. Does 27 divide w(-1)?
True
Let l = -394 - 116. Let p be l*(16/(-10))/4. Does 3 divide (1 - 1/3)/(4/p)?
False
Let i be 2 + 2 - (1 - 4). Suppose 3*c + i*c = 4840. Let t = c - 296. Does 14 divide t?
False
Let j(c) = c**2 + 11*c + 6. Let w(p) = 2. Let v(a) = -j(a) + 6*w(a). Does 12 divide v(-9)?
True
Suppose -3*l + 10*l - 560 = 0. Let p = 230 + l. Is p a multiple of 31?
True
Let o(a) = a**3 + a**2 - 23*a - 19. Let s be o(-5). Does 16 divide (14/(-5))/(s*4/4960)?
False
Let v(t) = t**3 + 36*t**2 + 28*t - 8. Does 6 divide v(-26)?
True
Let w(l) = 2*l + 1. Let g(j) = -11*j - 33. Let p(s) = g(s) - 3*w(s). Is 33 a factor of p(-10)?
False
Let d(u) = -5*u
|
{
"pile_set_name": "DM Mathematics"
}
|
5*o + 128
What is the k'th term of -662, -1318, -1974, -2630?
-656*k - 6
What is the c'th term of -5426, -5425, -5424?
c - 5427
What is the n'th term of 391, 781, 1157, 1513, 1843, 2141, 2401, 2617?
-n**3 - n**2 + 400*n - 7
What is the v'th term of -123, -490, -1105, -1968, -3079, -4438?
-124*v**2 + 5*v - 4
What is the g'th term of -214, -426, -638, -850, -1062, -1274?
-212*g - 2
What is the o'th term of -9337, -9341, -9355, -9385, -9437, -9517, -9631, -9785?
-o**3 + o**2 - 9337
What is the p'th term of -497, -990, -1483, -1976, -2469, -2962?
-493*p - 4
What is the h'th term of 28, 35, 52, 85, 140?
h**3 - h**2 + 3*h + 25
What is the c'th term of -41, -96, -187, -314, -477, -676, -911?
-18*c**2 - c - 22
What is the z'th term of -49, -38, -15, 26, 91?
z**3 + 4*z - 54
What is the i'th term of -586, -574, -560, -544, -526, -506, -484?
i**2 + 9*i - 596
What is the m'th term of -421, -351, -267, -163, -33, 129?
m**3 + m**2 + 60*m - 483
What is the m'th term of 30, 72, 134, 216, 318, 440?
10*m**2 + 12*m + 8
What is the r'th term of 324, 315, 306?
-9*r + 333
What is the i'th term of -18, -67, -142, -237, -346, -463, -582, -697?
i**3 - 19*i**2 + i - 1
What is the v'th term of -5, -17, -47, -101, -185, -305, -467, -677?
-v**3 - 3*v**2 + 4*v - 5
What is the k'th term of 23, 49, 89, 149, 235?
k**3 + k**2 + 16*k + 5
What is the s'th term of -147, -294, -441?
-147*s
What is the i'th term of 2046, 2044, 2032, 2004, 1954, 1876, 1764?
-i**3 + i**2 + 2*i + 2044
What is the a'th term of -12657, -12658, -12659, -12660, -12661, -12662?
-a - 12656
What is the b'th term of -98, -275, -516, -827, -1214?
-b**3 - 26*b**2 - 92*b + 21
What is the x'th term of 9099, 9100, 9101, 9102, 9103?
x + 9098
What is the a'th term of 179, 181, 185, 191, 199?
a**2 - a + 179
What is the f'th term of 866, 878, 904, 950, 1022, 1126, 1268, 1454?
f**3 + f**2 + 2*f + 862
What is the r'th term of -30, -12, 34, 120, 258, 460, 738?
2*r**3 + 2*r**2 - 2*r - 32
What is the t'th term of -29, -42, -41, -26, 3, 46?
7*t**2 - 34*t - 2
What is the k'th term of -27, -49, -71?
-22*k - 5
What is the a'th term of -248, -249, -266, -305, -372, -473?
-a**3 - 2*a**2 + 12*a - 257
What is the b'th term of -104, -208, -312, -416?
-104*b
What is the l'th term of -192, -214, -244, -282, -328, -382?
-4*l**2 - 10*l - 178
What is the f'th term of 4458, 4463, 4470, 4479, 4490, 4503, 4518?
f**2 + 2*f + 4455
What is the b'th term of -2, -7, -16, -29, -46, -67, -92?
-2*b**2 + b - 1
What is the b'th term of -204, -816, -1832, -3252, -5076, -7304, -9936?
-202*b**2 - 6*b + 4
What is the b'th term of 471, 945, 1419, 1893?
474*b - 3
What is the q'th term of 208, 207, 206, 205?
-q + 209
What is the n'th term of -51, -64, -87, -120, -163?
-5*n**2 + 2*n - 48
What is the k'th term of 60, 118, 176, 234, 292?
58*k + 2
What is the o'th term of 115, 120, 127, 136, 147, 160?
o**2 + 2*o + 112
What is the b'th term of -655, -649, -641, -631, -619, -605?
b**2 + 3*b - 659
What is the m'th term of -31, -134, -299, -520, -791, -1106, -1459?
m**3 - 37*m**2 + m + 4
What is the f'th term of 12, 52, 162, 378, 736, 1272, 2022?
6*f**3 - f**2 + f + 6
What is the v'th term of -4685, -4693, -4715, -4757, -4825, -4925?
-v**3 - v**2 + 2*v - 4685
What is the j'th term of -974, -978, -984, -992, -1002, -1014, -1028?
-j**2 - j - 972
What is the n'th term of 129, 33, -75, -201, -351?
-n**3 - 89*n + 219
What is the i'th term of -4, 2, 20, 56, 116, 206, 332?
i**3 - i - 4
What is the s'th term of 2689, 10756, 24207, 43048, 67285?
s**3 + 2686*s**2 + 2*s
What is the c'th term of 163, 328, 505, 700, 919, 1168, 1453, 1780?
c**3 + 158*c + 4
What is the m'th term of 1201, 1210, 1219, 1228, 1237, 1246?
9*m + 1192
What is the x'th term of 69, 99, 131, 165, 201, 239?
x**2 + 27*x + 41
What is the q'th term of 33, 47, 63, 75, 77, 63, 27?
-q**3 + 7*q**2 + 27
What is the w'th term of 54, 69, 82, 87, 78, 49?
-w**3 + 5*w**2 + 7*w + 43
What is the n'th term of 2968, 2969, 2970, 2971, 2972?
n + 2967
What is the o'th term of -7, 9, 57, 155, 321, 573, 929?
3*o**3 - 2*o**2 + o - 9
What is the x'th term of -7, -8, 1, 26, 73, 148, 257?
x**3 - x**2 - 5*x - 2
What is the m'th term of -180, -343, -496, -633, -748, -835?
m**3 - m**2 - 167*m - 13
What is the g'th term
|
{
"pile_set_name": "DM Mathematics"
}
|
out -0.3 * -0.538247.
0.1614741
-8.6177916 times -4
34.4711664
Multiply 139741 and -0.0494.
-6903.2054
Calculate -372*3803.
-1414716
-41.844 times 35.5
-1485.462
Work out -93 * -199991.
18599163
762 * -0.6976
-531.5712
Work out -0.46 * -8.216646.
3.77965716
Calculate 0.3*230272871.
69081861.3
2736.1918 times 0.1
273.61918
1*-511994
-511994
What is 1.3 times 31577691?
41050998.3
Product of 1.658687 and 0.02.
0.03317374
What is 42460581 times -4?
-169842324
Calculate 23.30548*-54.
-1258.49592
-4 times -1.21535697
4.86142788
What is the product of -0.4 and 1.60121794?
-0.640487176
-365.81 times 349.9
-127996.919
174 * 1574280
273924720
What is the product of 2689 and -0.02871?
-77.20119
What is the product of 0.2 and 0.03089898?
0.006179796
0*1064215
0
1185*1371.11
1624765.35
2776080*41
113819280
243615 * -6.58
-1602986.7
What is -507 times -3.2103?
1627.6221
11 * 36087
396957
Multiply -0.1347 and 1.228.
-0.1654116
5337816 times 0
0
Multiply -8551.793 and -48.
410486.064
What is 1.560689 times 5?
7.803445
Calculate -600.3*-1.9215.
1153.47645
What is the product of -33 and -0.61351?
20.24583
-2 * -656.271
1312.542
Calculate 7113.1*8.6.
61172.66
3933 times -6951
-27338283
What is -194.06 times 292?
-56665.52
261 times -2710
-707310
Work out 118 * 11373.1.
1342025.8
Calculate 12499844*0.2.
2499968.8
Multiply -70.5 and -96.5.
6803.25
-2 * 452050.55
-904101.1
-0.3 * 81.635884
-24.4907652
Multiply -26752719 and 18.
-481548942
Product of 0.605 and -4830.
-2922.15
1 * -3287526
-3287526
Calculate 12926264*-5.
-64631320
What is 4 times -97451.14?
-389804.56
1.3851961*4
5.5407844
-46363362 times 4
-185453448
-0.52761 * 1071
-565.07031
-9990.69*-7
69934.83
What is the product of 0.04 and -51.94056?
-2.0776224
What is the product of -4 and -14.45657?
57.82628
0.064*-6652
-425.728
Calculate -2.63*-9737.7.
25610.151
0.06 times -342904.49
-20574.2694
-2 times -988.17077
1976.34154
-2409924.7 times -0.19
457885.693
Product of 38920 and 8777.
341600840
0.1287 times 0.94442
0.121546854
Work out -2850 * -1.68.
4788
-416986 times 0.1
-41698.6
87436 * -490
-42843640
-0.1 * -0.153302207
0.0153302207
Calculate 77094*76.
5859144
33761.8 * -0.0694
-2343.06892
21 * 5413515
113683815
Product of 0.01032 and -88.6.
-0.914352
Multiply -17746 and -16.41.
291211.86
What is the product of 13769.9 and 24?
330477.6
297 times 236068
70112196
-0.046*7.371
-0.339066
Calculate -1*11918800.
-11918800
-30020*-217
6514340
What is -2560920 times -1.4?
3585288
Product of -0.1 and -6090951.
609095.1
4*-150.685227
-602.740908
Product of -6.2 and 9460.516.
-58655.1992
-400662 * -0.194
77728.428
13 times 9.12644
118.64372
0.3 * -2624565
-787369.5
Multiply -31.121 and -18.
560.178
-63.3 times 7486
-473863.8
-4.328 * 2612
-11304.736
What is the product of -1 and 115626675?
-115626675
Work out -39115009 * -0.002.
78230.018
-0.212 times 0.151256
-0.032066272
What is 7650173 times 0.2?
1530034.6
Work out 0.006174 * 0.018.
0.000111132
Work out 29 * -314624.
-9124096
Work out 88542 * 209.
18505278
Multiply 24028 and -42.8.
-1028398.4
Calculate 193*3164751.
610796943
-12919*5.75
-74284.25
-18484637 * -2
36969274
-3 times 2103397
-6310191
What is the product of 1 and 624078.8?
624078.8
Product of -50 and -1016286.
50814300
4*168924173
675696692
Calculate -2374*-4200.
9970800
What is the product of -344.3778 and 10?
-3443.778
Calculate -0.9224*284.35.
-262.28444
What is -23685 times -0.512?
12126.72
Calculate -2390434*0.1.
-239043.4
-0.0422 * -0.009528
0.0004020816
Multiply 10.6357 and -2.
-21.2714
What is the product of 62 and -19562?
-1212844
Product of -1635 and -358.61.
586327.35
-229 times -176.91
40512.39
6 * -552910
-3317460
35896 times -204
-7322784
Product of -0.1 and -997.719.
99.7719
Product of 309.4 and 0.370893.
114.7542942
9034.29*-0.317
-2863.86993
62.950251 * 5
314.751255
Multiply 0.00784 and -7.33.
-0.0574672
0.08*-0.541763
-0.04334104
19713*6.26
123403.38
What is 1005 times 27217?
27353085
910.47 times 3442
3133837.74
3739*4.333
16201.087
1 * -0.00436329
-0.00436329
0.4 times -1144160
-457664
What is -32255 times -43.42?
1400512.1
Multiply -1.49 and -35.3845.
52.722905
Product of -0.8 and 6504.
-5203.2
What is the product of 23.245 and -17.5?
-406.7875
Multiply 38 and -39630.02.
-1505940.76
What is -0.1014 times -6915?
701.181
What is 39679102 times
|
{
"pile_set_name": "DM Mathematics"
}
|
j + 277*j for j.
-50
Solve 157 = 506*m + 11931 - 642 for m.
-22
Solve -12858*f = -3425*f - 698042 for f.
74
Solve -15106*s + 45262*s - 3186 = 15091*s + 15092*s for s.
-118
Solve 665*w + 3454 + 11129 = 3278 for w.
-17
Solve -94*a = -16 + 46 - 128 - 90 for a.
2
Solve 2652*g - 3793 = 22727 for g.
10
Solve -263*g - 1297*g = -78000 for g.
50
Solve -10492*z - 4939*z - 1429*z = 1302*z - 2975*z for z.
0
Solve -1311 = -710*q - 11961 for q.
-15
Solve 67*v - 93*v - 3612 = -69*v for v.
84
Solve -1891*q + 67542 + 6207 = 0 for q.
39
Solve -513*c - 28184 - 601 - 19437 = 0 for c.
-94
Solve 21370 = -4255*f - 165850 for f.
-44
Solve 7263431*p - 7263346*p = -2465 for p.
-29
Solve -1378*k - 21778 = 5782 for k.
-20
Solve 70*u = -4540 + 5660 for u.
16
Solve -14542*r - 780290 = 7752*r for r.
-35
Solve -1418 - 3893 = -302*n - 2520 + 9591 for n.
41
Solve 161*a + 22*a + 14961 = 12948 for a.
-11
Solve 10063 = -740*i + 22 + 1161 for i.
-12
Solve -541*w - 1343*w + 16761 + 52191 = -116*w for w.
39
Solve 8778 = -63*r - 199*r + 23*r + 30*r for r.
-42
Solve 689*w - 10419 - 2378 = 7662 - 2545 for w.
26
Solve -898*v + 461*v - 2310 = -327*v for v.
-21
Solve 69*j + 1036*j + 958*j = 260*j + 128013 for j.
71
Solve -156*q - 151*q - 110 = -312*q for q.
22
Solve 89*j + 4454 = 5611 for j.
13
Solve -47029 = 35900*b - 35374*b + 10348 + 10477 for b.
-129
Solve 4820*w + 5836 + 1376 = 45772 for w.
8
Solve 1065*w + 19808 = -173*w for w.
-16
Solve 726*v = -714*v - 632*v + 1974*v + 7742 for v.
79
Solve 6295*d - 398208 = 2060*d - 6828*d - 1381*d for d.
32
Solve -5589 = -31*l + 90*l + 158*l + 5044 for l.
-49
Solve -2915*u + 601892 = 5661*u + 10790*u - 250212 for u.
44
Solve -192*h - 1063 - 2602 - 3095 = -2152 for h.
-24
Solve 213 = 1427*r - 1474*r - 1385 for r.
-34
Solve -161*f - 5882 = 91*f - 1598 for f.
-17
Solve 11563*x = 23162*x - 231980 for x.
20
Solve 4106*w + 255360 = -1506*w + 1356*w for w.
-60
Solve -15463 - 15979 + 7561 = -364*z + 1963 for z.
71
Solve -2068*a + 14998 = -2683*a + 8114*a for a.
2
Solve 1844*t + 1158*t = 142*t + 177320 for t.
62
Solve -6925 - 19955 = -420*v for v.
64
Solve -37473*f + 40798*f + 56525 = 0 for f.
-17
Solve -507 - 187 - 597 = -104*t + 61 for t.
13
Solve 1821*z + 7989 = -10494 - 43604 - 1648 for z.
-35
Solve 2713*d = -2367*d - 269240 for d.
-53
Solve 87*h = 15739 - 18958 for h.
-37
Solve 38*s + 725959 = 723793 for s.
-57
Solve 287*i + 432*i + 46735 = 0 for i.
-65
Solve 149460 = -3761*x - 4741 for x.
-41
Solve -70535 - 19278 = 78*t - 1641*t - 1534*t for t.
29
Solve 69*x + 223*x + 423*x = -86*x + 28035 for x.
35
Solve 14*s + 9482 = 9146 for s.
-24
Solve -86*t - 111*t + 186 = 9*t - 20*t for t.
1
Solve -647*w = 144*w - 52206 for w.
66
Solve 43*m - 14*m + 546 = -11*m + 1826 for m.
32
Solve 216*m - 7691 - 9709 = -768 for m.
77
Solve -2548 = -2*u - 52*u - 31*u + 597 for u.
37
Solve 0 = -1358*v + 1400*v - 1470 for v.
35
Solve -1037*x - 27090 = -27*x + 16340 for x.
-43
Solve -176*u + 11907 = 10499 for u.
8
Solve -189*s + 144374 = 135869 for s.
45
Solve 51*n - 256*n + 4926 + 2794 + 4785 = 0 for n.
61
Solve 5295*k = 5714*k - 41062 for k.
98
Solve 3739934*y = 3739997*y + 4662 for y.
-74
Solve 10811 + 2044 = 1544*b - 4381 - 30628 for b.
31
Solve 565955 = -31*b + 565335 for b.
-20
Solve 24*p + 1794 = 54*p + 167*p + 102*p for p.
6
Solve 265*i - 314*i = -216*i + 10354 for i.
62
Solve -10347*y = -10870*y + 17782 for y.
34
Solve 77564*y - 77492*y + 1296 = 0 for y.
-18
Solve -116142 + 12062 = -307*f + 1595*f + 13*f for f.
-80
Solve 197*q - 3826 + 12888 = 0 for q.
-46
Solve 20*o + 27*o = -2209 for o.
-47
Solve 0 = -20090*c + 18313*c - 31986 for c.
-18
Solve 85*g + 32*g = 59*g - 21*g + 3871 for g.
49
Solve 17084106*z - 17084107*z + 29 = 0 for z.
29
Solve 931*f + 1390*f = 81235 for f.
35
Solve -1810*p + 1305 = -1549*p for p.
5
Solve 915*c = -88097 + 164957 for c.
84
Solve -1681 = 6*g - 1795 for g.
19
Solve 189*l + 11912 - 19188 = 1307*l + 54214 for l.
-55
Solve -3967*s - 3751 - 3582 + 43036 = 0 for s.
9
Solve 208764 = 5495*o - 202327 - 182369 for o.
108
Solve -492*p + 19858 = -369*p + 252*p - 22892 for p.
114
Solve 3673*k - 21846 = -3644*k - 3808*k + 10794*k for k.
66
Solve -51*a - 847*a = 44*a + 164*a + 16590 for a.
-15
Solve 322*y + 1122394 = 1132054 for y.
30
Solve 94*x + 5*x + 7584 - 753 = 0 for x.
-69
Solve 429 = 940*o - 797*o for o.
3
|
{
"pile_set_name": "DM Mathematics"
}
|
3)/u + (-12)/6. What is the biggest value in n, m, 2/5?
n
Let q = 0.01 + 1.99. Let u(h) = h**3 + 6*h**2 + 5*h - 1. Let w be u(-5). Let l = -15.6 - -16. Which is the second smallest value? (a) q (b) w (c) l
c
Let h = -304 - -904/3. What is the third smallest value in h, 1, 0.4?
1
Let a = -0.29 + 5.29. What is the third biggest value in 1, a, -1/2?
-1/2
Let f = -6.19 - -0.19. Let g = -7 - f. Which is the third biggest value? (a) -0.06 (b) g (c) 0.4
b
Let j = -4 + -3. Let l = j - -7. Which is the smallest value? (a) -2/3 (b) l (c) 1/4
a
Let i = 0.77 + -0.9. Let t = i + -0.07. Which is the third smallest value? (a) 0.1 (b) -1/12 (c) t
a
Let i = -314 + 310. Let o = -2 + 6. Which is the biggest value? (a) 2/5 (b) o (c) i
b
Let i be (8/6)/((-2)/3). Let l = -0.5 + 0. What is the biggest value in i, l, 0?
0
Suppose o + 0 = -3*j - 9, 3*o - 4*j = -1. Which is the second smallest value? (a) -0.1 (b) o (c) 4 (d) -0.5
d
Suppose -19*v + 60 = -7*v. Let u(y) = y**2 - 3*y. Let r be u(3). Let x = r - 0. Which is the second smallest value? (a) -1/2 (b) x (c) v
b
Suppose 5 = 2*t + 1. Let j = 4.4 + -0.4. Let r = -603/5 - -121. What is the second smallest value in j, t, r?
t
Let h = 2084/57 - 110/3. Let x = -0.3 + 0.3. What is the biggest value in h, x, -2/15?
x
Let f = 22.2 + -22. What is the third biggest value in -1, f, -3/23?
-1
Let p be (1 - 0) + (-3)/5. Let a = 107 + -112. What is the biggest value in a, -1, p?
p
Let k = 4 - 13/3. Let i = -2/21 + k. Let g(t) = 5*t - 3. Let y be g(1). What is the third smallest value in i, 5, y?
5
Let n = 1/155 + 6/31. Let y be 63060/(-432) + (-1)/4. Let z = y - -146. Which is the third biggest value? (a) z (b) n (c) 3
a
Let q = -53 + 53.4. Let p(u) = -u**3 + 7*u**2 - 7*u + 2. Let d be p(6). Which is the second biggest value? (a) q (b) d (c) 2/9
c
Let k be (-2)/(-4)*(1 + -1). Suppose -5*r + 25 = -k*r. What is the third smallest value in r, 0.3, 3?
r
Let p be 13/12 - (-1)/(-3). Let i(d) = d**3 - 11*d**2 - 3*d - 6. Let q be i(11). Let j be (-26)/q*6/(-8). Which is the smallest value? (a) -5 (b) p (c) j
a
Let g be (4 - 9/3)*(-5)/(-3). Let k = 3.4 - 4. What is the biggest value in g, -1, k?
g
Suppose -2*d + 16 = -0*d. What is the third biggest value in 3/5, -4/9, d?
-4/9
Let g = 2 + -1.5. What is the smallest value in g, -4, -1/8?
-4
Let x = 6 - 7. Which is the third biggest value? (a) x (b) 2/3 (c) 4
a
Suppose 0 = 3*a + 3*y - 6, -3*a + 3 = -4*a + 4*y. Let j = -0.149 - -0.449. What is the second biggest value in 1/2, a, j?
1/2
Suppose 3*t + 2 = 11. Suppose -3 = -t*b + 3*w, 5*b - 3*w - 4 = 1. Let d be -2*(-3)/(-18)*b. What is the second smallest value in 0.3, d, -4?
d
Let v = -0.39 + 8.39. Which is the third biggest value? (a) 0.5 (b) -0.5 (c) 1 (d) v
a
Let n = 37 + -42. Which is the second biggest value? (a) 4/9 (b) 1.5 (c) n
a
Let k = -3.974 - 0.026. What is the second biggest value in -0.1, k, 0.4?
-0.1
Let f = -0.12 + 0.22. What is the second smallest value in f, 0.3, 2/7?
2/7
Let t = 6.5 - 6. What is the biggest value in -2, t, 1, 4?
4
Let m = 1.9 - 2. Let r = m - -0.5. Let o = -3/2 - -3/4. What is the third biggest value in r, o, -0.4?
o
Let p = -0.68 + 0.28. Let z be 6/(-9)*2/(-4). What is the second biggest value in p, z, -1/12?
-1/12
Let a = -0.037 - 0.463. What is the biggest value in a, 4, -20, -5?
4
Let d = 0.28 - -0.22. What is the third biggest value in d, -4, -0.5?
-4
Let q = -3 + 2.96. Let d = q - 0.36. Let b = 0.5 + -1.5. What is the biggest value in b, -4, d?
d
Let h = 1.9 + 0.1. Suppose -2*x + 2 = -5*k, 2*k = 2*x - 2*k - 4. Suppose 13 = 2*i - l + x*l, 4*l - 4 = 0. Which is the smallest value? (a) i (b) h (c) -4
c
Let q be (-34)/(-10) - (-4)/(-10). Suppose 0 = -2*h - h + q. Which is the second biggest value? (a) 5 (b) h (c) 0.5
b
Suppose -388 = -4*y + 2*k - 128, 3*y - 188 = -2*k. Which is the second smallest value? (a) 2 (b) 5/3 (c) y
a
Let p = -52 - -363/7. Suppose -2*u - 28 + 3 = 5*z, -5*z = -2*u + 25. What is the second smallest value in p, z, 0.5?
p
Let i be (-9)/2*(-3)/27. What is the biggest value in i, -0.2, 1?
1
Suppose 2*s = 3*s + 36. Let z = 106/3 + s. What is the second biggest value in 0.15, -3, z?
z
Let k = -90.93 + 96. Let t = k - 0.07. Which is the second smallest value? (a) t (b) -2/3 (c) 5/2
c
Let t be 2/(-4) - 24/(-72). Let l = 4 - 4.3. Which is the third biggest value? (a) t (b) l (c) -5
c
|
{
"pile_set_name": "DM Mathematics"
}
|
5)**(-2/15)*(p/(p*p**(-4/7)))**(-2/7) assuming p is positive.
p**(-122/147)
Simplify (s**6)**(6/13)*(s*s**(1/12)*s*s)**(-29/5) assuming s is positive.
s**(-11789/780)
Simplify ((k**(1/11)*k)/(k/((k/(k*k**(-3)))/k*k)*k))/((k/(k*k/(k/k**(-7)))*k)/(k/k**(3/16))) assuming k is positive.
k**(-897/176)
Simplify ((d*d*d**(-9/5))**(-45))**(-3/14) assuming d is positive.
d**(27/14)
Simplify (n**(3/16)*n**(-3/11))**(-14) assuming n is positive.
n**(105/88)
Simplify ((o*o**(-3/4))/(o/(o/(o/o**7)))*o**(1/3)/(o**(3/2)/o))**(2/7) assuming o is positive.
o**(73/42)
Simplify ((p/p**(-1/13))**(1/11))**(-34) assuming p is positive.
p**(-476/143)
Simplify ((q/q**(6/11))/q)**13/(((q*q*q*((q/(q**(-3)*q*q)*q)/q)/q)/q)/(q/q**(-2/83))) assuming q is positive.
q**(-8278/913)
Simplify (a*a**(1/5)*a*a**(-1/60)/a)/(a**12*a*a**1/a) assuming a is positive.
a**(-709/60)
Simplify (w*w**12*w/(w/(w/w**17)))/(w**(1/2))**(1/3) assuming w is positive.
w**(-19/6)
Simplify (y*(y/y**(-9)*y)/y*y)**49*(y**10)**(1/38) assuming y is positive.
y**(11177/19)
Simplify ((t*t**(-3/2)*t)/t)**17/(t/t**21*t)**(1/2) assuming t is positive.
t
Simplify (f/f**17*f/(f**13/f))/((f*f*f**(-10/13)*f*f)/f**(-2/31)) assuming f is positive.
f**(-12209/403)
Simplify (r**3/((((r/((r*r/(r*(r*r*r**20*r)/r))/r)*r)/r)/r)/r))/(((r*r/(r/(r**(-2)*r))*r)/r)/r)**(-1/8) assuming r is positive.
r**(-145/8)
Simplify (((o/o**(-2/9))/(o*o/((o*(o**(2/19)/o)/o)/o)))/(o*o*o**0)**49)**(1/6) assuming o is positive.
o**(-17215/1026)
Simplify (h**(-4)/h)**(1/6)*h**(-10)*h**0 assuming h is positive.
h**(-65/6)
Simplify ((w**(-1)/w*w*w**(-2))**5)**12 assuming w is positive.
w**(-180)
Simplify (b/(b/b**(4/11)))/(b/(b*b/b**(3/11)))*(b*b**(-1))/(b*(b**(3/5)*b)/b) assuming b is positive.
b**(-28/55)
Simplify ((s*s**0)**(-3)*s**(-5)*s**(3/2)/s*s)**(-25) assuming s is positive.
s**(325/2)
Simplify (p*p/(p*p**3)*p*p/(p**(-1)*p)*(p**0)**48)**(-8) assuming p is positive.
1
Simplify ((q/(q*q*q**(1/7)*q)*q*q**5)**39)**(2/37) assuming q is positive.
q**(2106/259)
Simplify w*w*(w/(w*w**(-2/37)))/w*w*w*w*w**(-9/5)*(w*w**(-1/2))**(-15) assuming w is positive.
w**(-1941/370)
Simplify ((s**(1/13)*s)/(s*s**13))/(s*s**(1/19)/s*s**(4/9)/s) assuming s is positive.
s**(-27610/2223)
Simplify p*(p*(p*(p**(-21)*p)/p*p)/p)/p*p*p**(-30)*p/(p/p**(6/5))*p/(((p/(p**(-3/17)*p))/p)/p) assuming p is positive.
p**(-3738/85)
Simplify (c**(-9/4))**6*c**(-8)/(c*(c/(c/(c*c**19)*c*c))/c*c) assuming c is positive.
c**(-81/2)
Simplify ((((z*z*z**(-3/7)*z)/z*z)/z)/z)**(-11/4)*(z**1)**(5/4) assuming z is positive.
z**(-9/28)
Simplify (w**(7/4)*w/(w*w*w**(-15)))/((w*(((((w**32/w)/w)/w*w)/w)/w)/w)/w*w*w**(1/17)) assuming w is positive.
w**(-837/68)
Simplify b/(b/b**0)*b*b*b/(b*b**(1/6))*(b**3)**40 assuming b is positive.
b**(731/6)
Simplify (w*(w**(2/9)/w)/w*w*w*w**4)/(w**15/w**(-1/16)) assuming w is positive.
w**(-1417/144)
Simplify (i**(1/4))**(-2/3)*(i*(i/((i**(-3)/i)/i))/i)/(i/(i**15/i)) assuming i is positive.
i**(113/6)
Simplify q**(-19)*q/((q*q*q**(-7/8)/q*q)/q)*(q**7)**(-16/3) assuming q is positive.
q**(-1331/24)
Simplify (m**(1/11)*m/(m*m**(-1/3))*m*(m*m**(-6)*m)/m**2)**(-16/7) assuming m is positive.
m**(2416/231)
Simplify ((z/z**(2/5))/z*z)**(-1/17)*z**11*z/(z**27/z) assuming z is positive.
z**(-1193/85)
Simplify (l**(-16)/l**(1/3))/((l*l*(l*l**(1/13))/l)/(l**7/l)) assuming l is positive.
l**(-484/39)
Simplify ((t*t**(-16))**(-25))**13 assuming t is positive.
t**4875
Simplify ((g/(g*g**(-2)*g))/g*g)**(-3)/(g**(7/3)/g*g/(((g**(-1/11)*g*g)/g)/g)) assuming g is positive.
g**(-179/33)
Simplify ((c**4/c**(-2/27))**23)**33 assuming c is positive.
c**(27830/9)
Simplify ((h**(-1/2))**24*(h*h**(-1)*h)**(-36))**(-19) assuming h is positive.
h**912
Simplify ((o/(o/(o*o**4)))/o)**(-2/117)/(o**(-9)*(((o*o**9*o*o)/o)/o)/o) assuming o is positive.
o**(-8/117)
Simplify ((m/(m/(m**(1/2)*m)))/m**(-4))/(m**1*m)**(-13/6) assuming m is positive.
m**(59/6)
Simplify ((v**(1/2))**(-34)*((v*v**(-1/4))/v)**(2/45))**(2/17) assuming v is positive.
v**(-1531/765)
Simplify (n**(-2)*n/(n*n*n/n**(-1/7)))**(-24) assuming n is positive.
n**(696/7)
Simplify y**(8/5)*y**(-1/5)*(y*y*y**(-10)*y)**(2/37) assuming y is positive.
y**(189/185)
Simplify ((z/z**(-7)*z**4)/(z/(z**(1/6)/z))**(2/89))**(4/3) assuming z is positive.
z**(12772/801)
Simplify g**(-5/3)*g*g**3*(g/(g*(g**(2/3)/g)/g*g*g))**(-42) assuming g is positive.
g**(91/3)
Simplify (((g/g**(-14))/(g/((g/(g*g/(g/(g/(g*g*g**(-2/25))))))/g*g)))**(
|
{
"pile_set_name": "DM Mathematics"
}
|
/10)
Simplify (n**2/n**2)/(n**(-3/8)/((n*n/(n*(n/((n*n/(n**(3/8)/n))/n*n))/n*n)*n*n)/n))*(n**(-6)*n*n/(n**(-1/4)*n))**(-49) assuming n is positive.
n**(947/4)
Simplify (c**(-1/16)*c)/c*c**11*c**(1/4)/c**17 assuming c is positive.
c**(-93/16)
Simplify ((b**(1/4))**(-1/57)/(b**(-12)/b*b*b*b*b**(-2/35)))**(-1/12) assuming b is positive.
b**(-80221/95760)
Simplify (((j/(j*j**(-33))*j)/j)/((j*j**24)/j))/(j**18)**(-5/4) assuming j is positive.
j**(63/2)
Simplify (((t**10/(t*t**(-5)))/((t*t*(t*t/(t*t/(t*t**(3/7))))/t*t*t)/t*t*t*t/t**(-7)*t))**(24/11))**(-2/49) assuming t is positive.
t**(144/3773)
Simplify ((i*i/i**(-4/9)*i)/(i*i**(-10)/i*i*i*i))**8*(i/i**(-9)*i**(-10))**(-1/18) assuming i is positive.
i**(752/9)
Simplify ((f*f**(2/5)/f)**(2/51))**(-6)/((f**0)**6/(f/f**0*f)**(-1/13)) assuming f is positive.
f**(-274/1105)
Simplify (z**(-6/7)*z*(z*z*z*z*z/(z*z**(-1/4))*z)/z)/(z**(-2/7))**(-2/97)*z/z**(2/9)*z**(-2/3)*z**(-5)*z/(((z**3*z)/z)/z) assuming z is positive.
z**(-36713/24444)
Simplify ((i/(i*i**(-6))*i**(1/3)*i)/((i/i**(-1/2))/i*i**6*i))/(i**(3/4)/(i/i**(-1/7))*i/i**6*i/((i*i**(1/7))/i)) assuming i is positive.
i**(367/84)
Simplify ((k**(-9)/k**(2/11))/(k/(k/(k**(5/3)*k*k*k*k)))**(-1/4))**(-7) assuming k is positive.
k**(7175/132)
Simplify q/(q**(-2/9)*q)*q/q**1*(q*q**1*q)**(-2/71)*(q/q**(-3)*q**(-4))**(4/5) assuming q is positive.
q**(88/639)
Simplify (n**(-6)/(n**(-3)/n))/((((n**(-2/9)/n*n)/n)/n)/(n**(-2)/n*n))*(n**(2/7)*n**1)**(-14/9) assuming n is positive.
n**(-34/9)
Simplify ((((a*a**(-2/5)*a*a)**29)**(-42))**(-43))**(-1/14) assuming a is positive.
a**(-48633/5)
Simplify (s*s**(-2))**(-18)/(s**(2/9)/s**(-2/27))*((s**9/s)/(s**(4/3)*s))/(s**0/s)**(-1/42) assuming s is positive.
s**(8825/378)
Simplify ((q**1/q)/((q/(q**(-1/3)/q))/q))/(q*q**(4/3)*q**(-1/8))*q*((q/(q/(q**(-4)/q)))/q)/q*q*q/((q**7*q)/q)*q**2*q**(-2/3) assuming q is positive.
q**(-317/24)
Simplify ((((b*b**(-9))**(-1))**34)**(1/3))**33 assuming b is positive.
b**2992
Simplify ((h/(h*h/(h*h/(h*h**25)*h*h*h)))/h*h*h**(7/2))/(h**(38/3)*h/(h*h*h*h**(-17))) assuming h is positive.
h**(-277/6)
Simplify ((k*k**(-18))/k**(1/27))/(k/(k*k*k/(k*k*k**(-25))*k*k)*k**6*k) assuming k is positive.
k**(80/27)
Simplify ((l*l**(1/12)*l**(-2/9))/(l/(l/l**(12/7)))**(-2/9))**(-35) assuming l is positive.
l**(-1565/36)
Simplify (y*y**(5/3))/(y**(1/8)/y)*(y**(4/7))**(-16/3) assuming y is positive.
y**(83/168)
Simplify (c**(-2)*c*c**6*(c**(-2/7))**(-5/9))/((c/(c/c**(-2))*c*c*c)/c*c**5*(c/((c/(c*c**1)*c)/c))**(7/3)) assuming c is positive.
c**(-284/63)
Simplify (a**(-4/3)*a/(a*a*a**2))/(a**(-4)*a*a**(-5)/a)*(a/(a*a**2)*a/(a**5/a))**28 assuming a is positive.
a**(-406/3)
Simplify ((d**(-2/33)/d*d)/(d*d*d*d**(-23)*d)*(d/((d**14*d*d)/d)*d*d)/(d**(-1)/d))**(-43) assuming d is positive.
d**(-12685/33)
Simplify ((o/o**(-2)*o*o*o**(-2)*((o*(o/(o**(1/9)/o))/o)/o)/(o**(-7)/o))**(-33))**(-24) assuming o is positive.
o**9416
Simplify (((g*g**1/g*g*g)/g)/g*g)**44/(g**(-3)*g*g**(2/17))*((g/((g/g**(-1/7))/g))**(-22))**(-1/16) assuming g is positive.
g**(43345/476)
Simplify (g/g**(-2/11)*g/(g**5/g))/((g*g/(g**3*g*g*g))/g*(g**(-3/4)/g)/g)*(g/(g/(g*(g/g**(-1))/g)))**16/(g*g/g**(1/4)*g*g*g)**(12/7) assuming g is positive.
g**(9175/308)
Simplify w/w**(1/18)*w*(w/w**18)/w*w**(-11/5)/w**25 assuming w is positive.
w**(-3893/90)
Simplify (i/(i*(i/(i/(i**(1/2)*i*i)*i))/i))**(-17)/(i**8*i*i**(-1/6))*((i**(-2/5)/i)/(i/(i/(i**(4/3)/i))))**(-28) assuming i is positive.
i**(241/5)
Simplify ((j/j**(-5)*j)**3*j**11/j**(-11/4))**(-9/4) assuming j is positive.
j**(-1251/16)
Simplify (f/(f*f**2))**(-5/8)/(f**(-2/13)/f**1)*((f/(f**(-6)/f))/(f*f**0))/(f**(-1))**(22/3) assuming f is positive.
f**(2611/156)
Simplify (r/(r/(r/r**(-5)))*r*r*r*r**(4/13))**(2/5)/(((r*r/(r/r**(-2))*r)/r)**(1/12)/(r**(-1))**(1/3)) assuming r is positive.
r**(903/260)
Simplify ((c/c**7)/(c*c**(4/7)*c))/(c**(-1))**(2/9)*(c*((c*c/c**(2/11))/c)/c)/((c*c/c**(2/5))/c*c)*(c**(-4)/c)/c**6 assuming c is positive.
c**(-69754/3465)
Simplify c**0*c*c*c/(c/(c/(c**(-1)*c)))*((c**(-2/5)*c)/c)**23*(c/(c/c**(-1)))**1/(c**(-1)/(((c*c*c**0)/c)/c*c*c)) assuming c is positive.
c**(-21/5)
Simplify (((((y*y*y**7)/y)/y)/(y**3*y))/(y**1)**4)/((y**2)**(6
|
{
"pile_set_name": "DM Mathematics"
}
|
s*j(c) - 7*p(c)?
-c**2 + 2
Let x(y) = -y - 3. Let q(n) = -18. Calculate -3*q(j) + 18*x(j).
-18*j
Suppose 2*h - 2*g + 7*g - 3 = 0, 2*h + 5 = 3*g. Let d(o) = -o**3 + o**2. Let v(w) = 4*w**3 - 2*w**2 - 4*w. What is h*v(k) - 2*d(k)?
-2*k**3 + 4*k
Let n(u) = -u**2 - u. Let x(v) = 8*v**2 - 5*v. Let i(k) = -n(k) + x(k). Let l(z) = 14*z**2 - 6*z. What is 8*i(h) - 5*l(h)?
2*h**2 - 2*h
Suppose -5*v - 16 = 4*j + 1, -4*v = -2*j + 24. Let n(f) = -2*f - 9. Let q(i) = -1. Let w(o) = -n(o) + 6*q(o). Let r(t) = 4*t + 7. Calculate v*w(p) + 2*r(p).
-2*p - 1
Let r(z) = 6*z**2 + 7*z - 6. Let w(v) = -5*v**2 - 6*v + 5. Determine -6*r(s) - 7*w(s).
-s**2 + 1
Let u(b) = -3*b**3 - 5*b**2 - 2. Let x(y) = -2*y**3 - 3*y**2 - 1. Give -5*u(w) + 8*x(w).
-w**3 + w**2 + 2
Let m(p) = -8*p**2 - 3*p + 9. Let h(d) = -d**2 - d + 1. Determine 5*h(i) - m(i).
3*i**2 - 2*i - 4
Let t(l) = -4*l**2 - 3*l + 3. Let i = 34 + -20. Let x(r) = 2*r + 3*r**2 - 9 + i - 7. What is 2*t(w) + 3*x(w)?
w**2
Suppose -15 = 10*y + 35. Let b(r) = 10*r**3 - 7*r**2 - 7*r - 13. Let s(m) = m + 2*m**3 - 9 + 5*m**3 - 5*m**2 - 6*m. Determine y*b(k) + 7*s(k).
-k**3 + 2
Let t(o) = 7*o - 4. Let c(y) be the first derivative of -10*y**2 + 11*y + 5. Give -4*c(d) - 11*t(d).
3*d
Let g(m) be the third derivative of m**6/120 + m**5/10 - m**4/6 + 2*m**3/3 - 22*m**2. Let z(j) = 2*j**3 + 13*j**2 - 9*j + 9. What is 9*g(c) - 4*z(c)?
c**3 + 2*c**2
Let b(l) = -7. Let s(o) = 1 - 3 - 9. Let f(j) = -8*b(j) + 5*s(j). Let d(h) = -h**2 + h + 5. Give d(a) - 5*f(a).
-a**2 + a
Suppose 8*q - 25 - 23 = 0. Let y(v) be the third derivative of v**5/60 - v**2. Let g(s) be the second derivative of 7*s**4/12 + s**3/3 - s. Give q*y(p) - g(p).
-p**2 - 2*p
Let t(r) = -3*r**2 - 3*r - 1. Let a(s) = -3*s**2 - 2*s. Let g = 131 - 129. Give g*t(n) - 3*a(n).
3*n**2 - 2
Let t(z) = -6*z**2 + 2*z + 5. Let s(h) = 0 - 1 + 5*h**2 - 2*h - 3. Let v be 21/(-6) - (-8)/(-16). Calculate v*s(j) - 3*t(j).
-2*j**2 + 2*j + 1
Let r(a) = -a**3 + a**2 + a - 1. Let o(v) = 11*v**3 - 2*v**2 - 2*v + 2. Calculate 3*o(k) + 6*r(k).
27*k**3
Let j(y) = -y - 2. Let v(h) = -1. Let g(x) = -x**2 + 8*x + 9. Let f be g(10). Let o = 9 + f. What is o*j(w) + 2*v(w)?
2*w + 2
Let a(p) = -p - 1. Suppose 26 = -3*y + 2*u - 6*u, 24 = -5*y + 3*u. Let t be (7/(14/4))/2. Let l(h) = -h**3 - 7*h - 8. What is t*l(k) + y*a(k)?
-k**3 - k - 2
Let g = 16 + -11. Suppose 4*z - c - 13 = -g, -c = -3*z + 7. Let p(k) = 4*k**3 - 6*k**2 + 5*k + 4. Let l(h) = h**3 - h**2 + h + 1. Give z*p(d) - 5*l(d).
-d**3 - d**2 - 1
Let i(f) = -f + 3. Let h(x) = x - 1 - 3*x + 3*x + 0. Determine 2*h(d) + i(d).
d + 1
Let f(l) = 105*l**3 + 40*l**2 + 40*l. Let p(r) = 3*r**2 + 6*r**3 - 13*r + 2*r**3 + 16*r. Calculate 3*f(i) - 40*p(i).
-5*i**3
Let c(i) = -6*i**2 + 3*i - 3. Suppose 4*v = x - 28 + 9, 2*v = -2*x - 2. Let t(l) = 13*l**2 - 7*l + 7. Give x*t(y) + 7*c(y).
-3*y**2
Let q(o) be the third derivative of 0*o + 0 - 1/12*o**5 - 3/2*o**3 + 1/8*o**4 + 6*o**2. Let a(l) = -3*l**2 + 2*l - 5. Calculate -7*a(j) + 4*q(j).
j**2 - 2*j - 1
Let n(l) = -14*l + 11. Let d(c) be the first derivative of -5*c**2/2 + 4*c + 1. Let t(r) = -2*r + 1. Let j = -1 + 3. Let u be t(j). What is u*n(g) + 8*d(g)?
2*g - 1
Let y(q) = -2*q**2 + 5*q - 6. Let s(f) = 1. Give -6*s(d) - y(d).
2*d**2 - 5*d
Let q(n) be the second derivative of -n**5/5 - n**4/3 + n**2/2 + 13*n. Let r(j) = j**3 + j**2. Calculate q(d) + 3*r(d).
-d**3 - d**2 + 1
Let j be -2 - 13 - 10/(-5). Let l = -8 - j. Let p(i) = 3*i**3 - 3*i**2 + 2*i + 5. Let m(o) = -8*o**3 + 8*o**2 - 6*o - 14. Determine l*m(y) + 14*p
|
{
"pile_set_name": "DM Mathematics"
}
|
11. Let r = 32 + x. Let a be 2 - (144/(-15))/(-4). What is the nearest to 1/3 in r, a, 2/19?
2/19
Let n = -4/57 + 199/399. Let m = 4/21 - 2/35. Which is the closest to 0? (a) -1/3 (b) m (c) n
b
Let f be (-2)/((-8)/18) - (0 - -4). Let n be 2*4/((-128)/(-6)). Let d = -77 + 691/9. Which is the nearest to f? (a) d (b) 2 (c) n
c
Let k = -3 + 20. Let z = k + -15. Suppose -d - 24 = 4*m, 0 = z*m - 3*d + 3 - 5. What is the closest to 1 in -3, m, 4?
4
Let k = 47.21 + -0.21. Let i = -46.7 + k. Which is the nearest to -1/2? (a) 3 (b) 2 (c) i
c
Suppose 13*k + 6 + 20 = 0. What is the nearest to 1 in -20/7, k, 0?
0
Let k(r) = -4*r + 30. Let u be k(8). Which is the nearest to 0.2? (a) 13 (b) -2/5 (c) u
b
Let f = 7 + -7.5. Let p = -17 + 3. Let v = p + 14.4. Which is the closest to -3? (a) v (b) f (c) 2
b
Let d = 713 - 712.99. What is the nearest to -1/4 in 4, d, 0.3, -0.4?
-0.4
Let t = 21 - 28. Let d be (t/147)/(2/(-12)). Let a = 2 - 4. What is the closest to a in -5, d, 0?
0
Let u = 3.2 - 4.5. Let p = -1.6 - u. Let o = 0 - p. Which is the nearest to -0.2? (a) -3 (b) 2/3 (c) o
c
Let o = -0.946 + -0.054. Suppose -5*s + 3*w = w - 14, w = s - 4. Let g = -8 + 3. What is the nearest to g in -5, o, s?
-5
Suppose -q + 2 = -3*h, 1 = -2*h - 3. Let k = -1.9 - -2. Let f = -219 - -218. What is the closest to -1/2 in f, k, q?
f
Let m = 0.71 + -4.71. Which is the nearest to -1? (a) m (b) -0.8 (c) -3 (d) -1/3
b
Let m = -3.01 - -2.9. Let f = m + -1.89. Which is the nearest to 0? (a) -1/10 (b) -5 (c) f
a
Suppose 2*p - 27*p + 25 = 0. Let k = 0.26 + -0.17. What is the closest to p in 1, k, -3?
1
Suppose -20 + 54 = 17*y. What is the nearest to 1 in y, 0.17, -2?
0.17
Let o = 0.6 - 0.9. Let q = 0 - o. What is the nearest to -2 in q, -4, -1?
-1
Let d be 26/(-42) + (-4)/(-14). Let r be 531/(-708) - (0 + (-1)/12). Which is the closest to 1? (a) -2/11 (b) d (c) r
a
Let j = 96/7 - 295/21. Which is the closest to j? (a) -5 (b) 2/5 (c) -1 (d) 5
c
Let k = 1.8 + -2.06. Let r = k - 0.74. Let c = 21 + -20. What is the nearest to r in -0.7, c, 0.3?
-0.7
Let d = 1082/9 - 120. Let o be ((-2)/24)/(1/(-2)). Let n be (1/3)/(2/(-6)). What is the closest to n in 4, d, o?
o
Suppose 0 = -10*v + 5 + 45. Suppose 5*w = v*o + 50, -o = -4*w - 5*o. What is the nearest to 1 in -1/2, 0, w?
0
Let y = 4 - 4. Let o = -30.7 - -35.7. What is the nearest to y in -1, -0.5, o?
-0.5
Suppose 0 = -4*i + 3*d - 51, -5*i = d + 4*d + 90. Let o be (6/4)/((-9)/12). Let p be -4 + i/(-6) - o. Which is the closest to 0? (a) p (b) 5 (c) -2/7
c
Let s = 116 - 124. What is the closest to 0 in -3, 2, s?
2
Let h be ((-33)/(-198))/(4/6). Which is the nearest to -0.1? (a) 2 (b) -3/4 (c) h (d) -7
c
Let r(t) = 30*t - 206. Let v be r(7). Let k = 116/91 + -11/13. What is the nearest to -0.1 in v, 0.06, k?
0.06
Let y be (1 - 0)/(-7 + 2). Let m = 22 + -21.8. Let h = -2 + 2.4. Which is the closest to m? (a) h (b) 0.3 (c) y
b
Let r = -11.3 - -2.2. Let t = 9 + r. Suppose -5*d + 6 = -4*q, -4*d + q + 3 = -4. What is the nearest to 2/5 in t, 1/5, d?
1/5
Let g = 19 - 16.5. Let l = g - 2.9. Let k = 0.76 - -0.24. Which is the closest to k? (a) 4 (b) l (c) -5
b
Let s = -49.8 - -46. Let c = 4 + s. Let f = -1.95 + -0.05. What is the nearest to f in -2/5, c, -3?
-3
Let o = -39762 + 439012/11. Let q = -148 + o. Let x = -131 + 388/3. Which is the closest to -1/2? (a) -2/3 (b) x (c) q
a
Let c be (5/15)/(-1 - (-9)/6). Let v = 15.36 - 0.36. Let s = -11 + v. What is the closest to s in -5, c, 2/9?
c
Let p = -187 + 933/5. Which is the closest to 1? (a) 0.3 (b) 0.6 (c) 0 (d) p
b
Let z = -30 + 35. Let t = 5 - z. Which is the closest to 1? (a) -0.1 (b) -3 (c) t
c
Let t = -3/20 + -1/10. Let d be -23 - -20 - 4/(-1). What is the closest to d in -2/11, 3, t?
-2/11
Let f = -5.36 - -5.56. What is the nearest to 2/9 in -3/8, -1, f, -5/3?
f
Let f = -1247 - -1247.3. Which is the nearest to 2? (a) -1 (b) -0.4 (c) f (d) -0.1
c
Let o(f) = f + 7. Let x be o(-2). Let j = 23/48 - -3/16. Which is the closest to 1? (a) x (b) 4 (c) j
c
Let h = -1981 + 7923/4. Let r = -683/1155 - 2/231. Let w be -2 - (-2)/((-16)/(-18)). What is
|
{
"pile_set_name": "DM Mathematics"
}
|
nd the second derivative of -2*s**5 + 697*s**4*y + 2*s*y + 5*y + 43 wrt s.
-40*s**3 + 8364*s**2*y
What is the derivative of 58*p**3 + 124?
174*p**2
Find the second derivative of 192*o**4*w**2 + 3*o**3*w**2 - 13*o*w**2 + 3*o + w**2 wrt o.
2304*o**2*w**2 + 18*o*w**2
Differentiate s**2 - 30*s + 28.
2*s - 30
What is the second derivative of 8481*f*x**2 + f*x + 30*f + 3*x wrt x?
16962*f
Find the first derivative of -489*l**3*n*x**2*z - 14*l**3*n*x**2 - 28*l*n**2 + 2*n**2*z + n*x**2 wrt z.
-489*l**3*n*x**2 + 2*n**2
What is the second derivative of 3*r**4 + 6*r**3 + 534*r?
36*r**2 + 36*r
What is the derivative of 2546*h - 6634 wrt h?
2546
Find the third derivative of 106*n**4 - 5*n**2 - 27 wrt n.
2544*n
What is the second derivative of -990*n**2*v**2 - 4*n*v**2 + 2*n + 146*v**2 wrt n?
-1980*v**2
What is the third derivative of -1169*j**3 - 1198*j**2 wrt j?
-7014
What is the second derivative of -3*a**4 - 164*a**2 - 45*a?
-36*a**2 - 328
Find the second derivative of -5*a*f*r**2 - 3*a*f*r - a*r + 5*f**2*r**2 - 8*f**2 - f wrt r.
-10*a*f + 10*f**2
Find the second derivative of -j**5 + 17*j**2*r - 15*j*r - 17*j wrt j.
-20*j**3 + 34*r
Find the second derivative of 10950*y**5 + 8*y + 390.
219000*y**3
What is the derivative of -109*k**3*r + 78*k**3 + 3*k**2*r wrt r?
-109*k**3 + 3*k**2
What is the first derivative of 154*g + 141 wrt g?
154
Find the second derivative of -5*i**2*p - 397*i**2*y**2 + p**2*y**2 - p**2 - 53*y wrt y.
-794*i**2 + 2*p**2
Find the third derivative of 14*d**6*f + 7*d**4*f**3 - d**3 - 721*d**2*f**2 - f**3 wrt d.
1680*d**3*f + 168*d*f**3 - 6
Find the second derivative of 6*r**2*t**4 + r**2*t**2 - r**2 - 76*r*t + 15*t**3 wrt t.
72*r**2*t**2 + 2*r**2 + 90*t
Find the second derivative of 219*s**4 + 102*s wrt s.
2628*s**2
Find the third derivative of -m**5 + 1774*m**4 - 9601*m**2 + m.
-60*m**2 + 42576*m
What is the second derivative of d**3*z**2 + d**3 - 964*d**2*z + 2*d*z + 1556*z**2 wrt z?
2*d**3 + 3112
Find the second derivative of 187*i**3 - 4*i**2 - 4*i - 17.
1122*i - 8
Find the third derivative of 2*f**3*j**3*x + 13*f**3*j**2 + 2*f**3*j*x + 4*f**2*j**3*x + 2*f*j**3 - 2*f*j**2 - 4*f*j*x wrt f.
12*j**3*x + 78*j**2 + 12*j*x
Find the third derivative of 288*g**4 - 7*g**3*l**3 + 16*g**2*l**2 + 66*g*l**3 wrt g.
6912*g - 42*l**3
What is the third derivative of 932*i**3 - i**2 + 2*i + 158 wrt i?
5592
What is the second derivative of 56*d*n**2*y**2 - d*n**2 + 2*d*n*y**2 + 9*d + 6*n*y + n wrt n?
112*d*y**2 - 2*d
Find the third derivative of -2*g**6 - 11762*g**5 + g**3 - 31626*g**2 wrt g.
-240*g**3 - 705720*g**2 + 6
Find the second derivative of o**4 - 14*o**3 - 97*o wrt o.
12*o**2 - 84*o
What is the second derivative of -6637*p**2 + 2*p + 1346 wrt p?
-13274
What is the third derivative of -221*z**5 - 10*z**2 - 7 wrt z?
-13260*z**2
Find the third derivative of 10*i*o**5*q + 13*i*o**2 - 2*i*q**2 + 4*i - 35*o**3*q**2 - 5*o*q**2 wrt o.
600*i*o**2*q - 210*q**2
Find the first derivative of 1451*f + 544 wrt f.
1451
Differentiate 2*t**2*y - t**2 - 21*t*y + 93*y wrt t.
4*t*y - 2*t - 21*y
Differentiate -14764*u**2 - 15182 with respect to u.
-29528*u
What is the second derivative of 215*o**4 + 86*o + 1?
2580*o**2
What is the derivative of 204*k**2 + 46?
408*k
What is the first derivative of -174*b**3 - 418 wrt b?
-522*b**2
What is the third derivative of -100*m**4*v**3 - 7*m**4 + m**3*v**2 - 11*m**2*v**3 - 22*m**2*v**2 - 2*m*v**3 - 2 wrt m?
-2400*m*v**3 - 168*m + 6*v**2
Find the second derivative of 14*b**4 - 71*b**3 + 2392*b wrt b.
168*b**2 - 426*b
Find the first derivative of 4*c + 175.
4
Find the third derivative of -2*h**6 - 125*h**5 - 2*h**3*w + 7*h**2 + 2*h*w + 2 wrt h.
-240*h**3 - 7500*h**2 - 12*w
Find the third derivative of 22*g**2*q*t - 1303*g**2*t**3 - 3*g*q**2*t**3 - g*q*t**2 + 10*q**2 wrt t.
-7818*g**2 - 18*g*q**2
Differentiate -a**4 + 241*a + 488 wrt a.
-4*a**3 + 241
What is the second derivative of -2122*g**2 - g + 4?
-4244
What is the first derivative of 115*u**3*v + 4*u**2*v - 833*v wrt u?
345*u**2*v + 8*u*v
Differentiate -2*l**3 - l + 29 wrt l.
-6*l**2 - 1
Find the third derivative of 4*k**4 + 145*k**3 + 976*k**2 wrt k.
96*k + 870
Differentiate -126*r**4*y**2 - r**3*y**2 - 1154*y**2 wrt r.
-504*r**3*y**2 - 3*r**2*y**2
What is the third derivative of -168*d**
|
{
"pile_set_name": "DM Mathematics"
}
|
e q'th term of -16, -9, -2, 5?
7*q - 23
What is the y'th term of -63, -199, -427, -747, -1159?
-46*y**2 + 2*y - 19
What is the j'th term of -22, -23, -24?
-j - 21
What is the f'th term of 728, 740, 766, 812, 884, 988, 1130?
f**3 + f**2 + 2*f + 724
What is the v'th term of 53, 117, 183, 251, 321, 393, 467?
v**2 + 61*v - 9
What is the j'th term of -74, -149, -222, -293, -362?
j**2 - 78*j + 3
What is the k'th term of 8, 7, -20, -85, -200, -377, -628, -965?
-2*k**3 - k**2 + 16*k - 5
What is the k'th term of 49, 107, 263, 565, 1061, 1799, 2827, 4193?
8*k**3 + k**2 - k + 41
What is the f'th term of 38, 35, 20, -13, -70, -157?
-f**3 + 4*f + 35
What is the g'th term of 6, 32, 78, 150, 254, 396, 582?
g**3 + 4*g**2 + 7*g - 6
What is the c'th term of 113, 104, 95, 86, 77?
-9*c + 122
What is the v'th term of -211, -205, -197, -187?
v**2 + 3*v - 215
What is the p'th term of -128, -127, -124, -119?
p**2 - 2*p - 127
What is the b'th term of 40, 74, 110, 148, 188?
b**2 + 31*b + 8
What is the f'th term of -7, -40, -95, -172, -271, -392, -535?
-11*f**2 + 4
What is the y'th term of 28, -99, -310, -605, -984, -1447?
-42*y**2 - y + 71
What is the j'th term of 25, 66, 145, 280, 489, 790, 1201, 1740?
3*j**3 + j**2 + 17*j + 4
What is the c'th term of 6, -2, -14, -30, -50, -74, -102?
-2*c**2 - 2*c + 10
What is the f'th term of -8, -7, 12, 55, 128, 237, 388?
f**3 + 3*f**2 - 15*f + 3
What is the j'th term of -1973, -1972, -1959, -1928, -1873, -1788, -1667?
j**3 - 6*j - 1968
What is the f'th term of 109, 107, 109, 121, 149, 199, 277?
f**3 - 4*f**2 + 3*f + 109
What is the z'th term of 17, 14, 13, 14, 17?
z**2 - 6*z + 22
What is the p'th term of -143, -572, -1287, -2288, -3575, -5148, -7007?
-143*p**2
What is the f'th term of -381, -1540, -3479, -6204, -9721, -14036, -19155, -25084?
-f**3 - 384*f**2 + 4
What is the z'th term of -453, -907, -1363, -1821, -2281?
-z**2 - 451*z - 1
What is the l'th term of 890, 891, 892, 893, 894, 895?
l + 889
What is the u'th term of -14, -15, -10, 1?
3*u**2 - 10*u - 7
What is the l'th term of -79, -382, -889, -1600, -2515, -3634, -4957?
-102*l**2 + 3*l + 20
What is the j'th term of -66, -268, -604, -1074, -1678?
-67*j**2 - j + 2
What is the u'th term of -13916, -27832, -41748?
-13916*u
What is the f'th term of 10, 16, 24, 34?
f**2 + 3*f + 6
What is the h'th term of 2866, 2859, 2852, 2845, 2838, 2831?
-7*h + 2873
What is the o'th term of -110, -423, -936, -1643, -2538, -3615?
o**3 - 106*o**2 - 2*o - 3
What is the g'th term of -175, -154, -133, -112, -91?
21*g - 196
What is the w'th term of -10, -20, -26, -28, -26?
2*w**2 - 16*w + 4
What is the c'th term of -92, -363, -798, -1391, -2136?
c**3 - 88*c**2 - 14*c + 9
What is the l'th term of 3, 36, 67, 96, 123?
-l**2 + 36*l - 32
What is the y'th term of 151, 158, 161, 154, 131?
-y**3 + 4*y**2 + 2*y + 146
What is the t'th term of 10, 16, 20, 22, 22, 20?
-t**2 + 9*t + 2
What is the x'th term of -1040, -1043, -1048, -1055?
-x**2 - 1039
What is the b'th term of -1226, -1217, -1196, -1157, -1094, -1001, -872, -701?
b**3 + 2*b - 1229
What is the h'th term of 18, 216, 426, 654, 906?
h**3 + 191*h - 174
What is the i'th term of 858, 859, 860, 861?
i + 857
What is the n'th term of 26, 47, 70, 95?
n**2 + 18*n + 7
What is the f'th term of -3794, -7590, -11386, -15182?
-3796*f + 2
What is the i'th term of -2480, -4958, -7434, -9908, -12380?
i**2 - 2481*i
What is the p'th term of 157, 167, 199, 265, 377, 547, 787, 1109?
2*p**3 - p**2 - p + 157
What is the q'th term of -616, -614, -612, -610?
2*q - 618
What is the t'th term of 7, 74, 141, 208, 275, 342?
67*t - 60
What is the w'th term of -7, -216, -565, -1054, -1683, -2452?
-70*w**2 + w + 62
What is the k'th term of 4627, 4619, 4601, 4567, 4511, 4427, 4309, 4151?
-k**3 + k**2 - 4*k + 4631
What is the y'th term of 18, 73, 214, 483, 922, 1573, 2478?
7*y**3 + y**2 + 3*y + 7
What is the s'th term of -814, -1622, -2428, -3232, -4034, -4834, -5632?
s**2 - 811*s - 4
What is the y'th term of 82, 83, 74, 49, 2, -73, -182?
-y**3 + y**2 + 5*y + 77
What is the z'th term of 783, 785, 787, 789, 791, 793?
2*z + 781
What is the r'th term of 138, 142, 146, 150?
4*r + 134
What is the y'th term of -4, -6, -10, -16,
|
{
"pile_set_name": "DM Mathematics"
}
|
Let s(b) = 12*c(b) + 5*x(b). Let z(w) = w. Give z(s(t)).
10*t + 250
Let x(v) = -2*v + 185. Let t(d) = 223*d**2 - 4*d. Determine t(x(f)).
892*f**2 - 165012*f + 7631435
Let t(w) = -103*w - 2. Let q(l) = -12*l + 273. Let h(m) = -2*m + 42. Let y(s) = -39*h(s) + 6*q(s). Determine t(y(d)).
-618*d - 2
Let k(x) = x**2. Let b(m) be the second derivative of 6*m - 199/6*m**3 - 9 + 0*m**2. Calculate k(b(l)).
39601*l**2
Suppose -52 = -3*s + 3*p + 2*p, -3*s + p = -68. Let a(d) = -11*d + 2*d + s*d. Let h(n) = -4*n**2. Determine h(a(o)).
-900*o**2
Let h(m) = -2*m**2. Let t(y) = 147*y + 6. Let u(g) = -7838*g + 1241*g - 1724*g - 5936*g - 583. Let o(n) = 583*t(n) + 6*u(n). Give h(o(p)).
-50562*p**2
Let q(n) be the second derivative of n**3/2 - n. Let r = -155 + 535. Let l(u) = 7*u**2 + 3*u**2 + 190 + 190 - r. Give q(l(y)).
30*y**2
Let w(a) = -6*a**2. Let z(t) = 10*t - 4. Let n(y) = -2*y**2 + 14*y + 17. Let s be n(8). Let c(l) = -2*l + 1. Let h(g) = s*z(g) + 4*c(g). Calculate h(w(j)).
-12*j**2
Let f(k) = 21*k**2. Let g(h) = -403228*h**2. What is f(g(m))?
3414449219664*m**4
Let j(h) = 2*h + 11. Let v(n) = n**2 - n - 2. Let t(x) = 6*x**2 - 4*x - 8. Let u be ((-50)/200)/((-2)/8). Let z(l) = u*t(l) - 4*v(l). Calculate j(z(p)).
4*p**2 + 11
Let g(f) = 6*f. Let m(u) be the second derivative of 13*u**3/6 + 2*u - 36. Calculate m(g(a)).
78*a
Let c(i) = i + 2. Let h(a) = -739668*a. What is c(h(p))?
-739668*p + 2
Let g(x) = -4*x - 55. Let t(m) = -14*m - 198. Let q(s) = -18*g(s) + 5*t(s). Let r(c) = -999*c. Give q(r(k)).
-1998*k
Let k(z) = -25552*z**2 - 6*z + 5 - 5 + 25553*z**2. Let p(g) = 26*g**2. Determine k(p(n)).
676*n**4 - 156*n**2
Let p(k) = 273*k - 52. Let n(v) = 16*v - 3. Let x(l) = 52*n(l) - 3*p(l). Let q(z) = -3 + 6 - 1295271*z + 1295269*z - 3. Give x(q(y)).
-26*y
Let g(j) = 31*j + 10. Let h(u) = -46*u - 14. Suppose -255 = 33*r + 18*r. Let o(z) = r*h(z) - 7*g(z). Let q(f) = -6*f. Determine q(o(t)).
-78*t
Let f(r) = 1438954*r. Let k(v) = -25*v. Calculate k(f(u)).
-35973850*u
Let v(n) = n + 6202. Let p(d) = -d**2 - 6*d + 27. Let u(r) = -3*r**2 - 14*r + 63. Let a(y) = -7*p(y) + 3*u(y). Determine v(a(t)).
-2*t**2 + 6202
Let c(f) = 710*f**2. Let m(u) = 54*u**2 + 29*u**2 + 46*u**2 - 175*u**2 + 47*u**2. Calculate c(m(p)).
710*p**4
Let n = -47 + 78. Let g = -9 + n. Let d(o) = -60*o + g*o + 13*o. Let x(y) = 2*y. Determine x(d(b)).
-50*b
Let b(f) = 7*f**2 - 10*f. Let v(s) = -s**2 + 3*s. Let t(h) = 3*b(h) + 10*v(h). Let a(j) = -4*j - j - 4*j. Give a(t(o)).
-99*o**2
Let d(f) = 8*f**2. Let j(k) = -2186994*k. What is d(j(s))?
38263542048288*s**2
Let q(w) = 5*w**2 - 44*w. Let y(l) = -l**2 + 16*l. Let u(v) = 4*q(v) + 11*y(v). Let g(t) = -1133*t**2. Give g(u(c)).
-91773*c**4
Let y(w) be the first derivative of -w**3 + 955. Let k(r) = -47*r + 1. Calculate k(y(l)).
141*l**2 + 1
Let n(r) = r - 20. Let t(c) = -8*c + 80. Let v(a) = -4*n(a) - t(a). Let f(o) be the second derivative of -o**4/12 - 42*o. Give v(f(x)).
-4*x**2
Let h(c) = 24*c + 313783. Let y(k) = 2*k. Determine y(h(t)).
48*t + 627566
Let n(w) = -3*w**2 - 63. Let m(k) = 68*k + 11. Give m(n(g)).
-204*g**2 - 4273
Let p(t) = 2*t**2. Let s(n) = n**2. Let b(u) = 3*p(u) - 8*s(u). Let z(h) be the third derivative of -5*h**4/8 + 64*h**2 + 4. What is z(b(o))?
30*o**2
Let d(z) = 21740841*z. Let f(m) = 26*m. Give f(d(j)).
565261866*j
Let o(c) = -11*c**2. Suppose 5*z + b = -24, -2*z - 3 - 1 = -b. Let w(h) = 20*h**2 - 8. Let p(d) = d**2 - 2. Let v(t) = z*p(t) + w(t). Calculate o(v(r)).
-2816*r**4
Let k(h) be the second derivative of 29*h**3 + h. Let p(m) = 792721880 - 2*m**2 - 792721880. What is k(p(w))?
-348*w**2
Let y(o) = o**2. Let q(f) be the third derivative of -28*f**5/15 - 4*f**3/3 - 82*f**2 - 7*f - 1. What is
|
{
"pile_set_name": "DM Mathematics"
}
|
et u = -47.00000119 + 47. Round u to 7 dps.
-0.0000012
Suppose -5*g + 37 = 4*p, -g + 4*p = 3*g - 8. Suppose -2*s + g*s = k + 67499996, 0 = -5*k + 20. Round s to the nearest one million.
23000000
Let d be ((3 - 3) + 5)*-15. What is d rounded to the nearest 10?
-80
Let l(u) = -1486*u**3 + 2*u**2 + 5*u - 1. Suppose 5*w + 20 = -0*w + 2*v, 12 = -3*w + 4*v. Let i be l(w). Let f = 28115 - i. Round f to the nearest 10000.
-70000
Let w = -4.98 + -0.02. Let g = -35748 + 35742.9982. Let n = g - w. What is n rounded to three decimal places?
-0.002
Let u = -63 + 65.95. What is u rounded to one decimal place?
3
Let z = -1 - -0.9822. Round z to 3 decimal places.
-0.018
Let z = 11 - 15. Let s be -1 + 3 + 0 + z. Let u(d) = 1550001*d + 2. Let w be u(s). Round w to the nearest 1000000.
-3000000
Let l = 0.408 - 0.038. Let y = l + -3.77. What is y rounded to the nearest integer?
-3
Let b = 22.8 - 22. Let y = -251.79976 + 251. Let x = b + y. What is x rounded to four dps?
0.0002
Let o(f) = 4720*f**2 - 14*f - 4. Let q be o(-6). Round q to the nearest 100000.
200000
Suppose 0 = k - 3*k + 6. Suppose k*f = -54 - 6. Let z be f/(-3)*(-1494)/12. Round z to the nearest one hundred.
-800
Let h = -4.2 + 4.39. Let d = -0.44 - h. Round d to 1 decimal place.
-0.6
Let w(u) = 2*u**2 + 10*u + 3. Let p be w(-5). Let l be 1*1*-1 - -3. Suppose -p*m - l*m + 145000 = 0. Round m to the nearest 10000.
30000
Let w = 7 + -6.99. Let z = w - 0.014. Let f = 0 + z. Round f to 3 dps.
-0.004
Suppose -3*k - k + 16 = 0, -d + 7 = -3*k. Suppose 3*r - 24 = -2*v - 0*r, -v + d = 5*r. What is v rounded to the nearest 10?
10
Suppose -4*y + 285986 = -150014. What is y rounded to the nearest 10000?
110000
Let y be ((-998643)/(-9))/(2/(-6)). Let t = 113013 - y. Let u = 704106 + t. What is u rounded to the nearest one hundred thousand?
1200000
Suppose -6*v + 6 = -3*v - 5*a, v - 2 = 2*a. Let w be (v/(-2))/((-3)/435). Round w to the nearest 10.
150
Let d = 327 + -321.08. Let p = 6 - d. Let w = -0.080065 + p. What is w rounded to 5 decimal places?
-0.00007
Suppose -2*k = -3*u - 4, -4*u = -5*k + 9 + 15. Let m be k/(-6)*3/(-2). Suppose -m*a = a + 10800000. What is a rounded to the nearest 1000000?
-4000000
Let h = 549354321439.59329958 - 549074053220.5933. Let g = h + -280268196. Let o = g + -23. What is o rounded to 7 decimal places?
-0.0000004
Suppose 2560 = 3*y - 917. Let j = -130159 + y. What is j rounded to the nearest 10000?
-130000
Suppose 0 = 5*c - 2566939 - 433061. Round c to the nearest 100000.
600000
Suppose -4*k = -k - 21. Let x(b) = 130*b**3 + 7*b**2 + 11*b - 10. Let f be x(k). What is f rounded to the nearest 10000?
50000
Let p(h) = -h + 2. Let y be p(6). Let i be (6 + y)/(2/7). Suppose 9*w - i*w = -110. Round w to the nearest 10.
-60
Let j = -0.04 - -0.34. Let o = 0.05 + j. Round o to one dp.
0.4
Let h = 0 + -1. Let t be h - (-1)/(3/4844943). Let q = -3214980 + t. Round q to the nearest one million.
-2000000
Let a = -1.46 + -0.16. Let i = a + 0.9. Round i to one dp.
-0.7
Let x = 0.07134 - 0.068. Round x to four dps.
0.0033
Let n = 0.36 - -0.02. Round n to one dp.
0.4
Let b = 34.53 - 30.5. Let n = 4 - b. Let y = n - -0.11. Round y to one dp.
0.1
Let p(j) be the first derivative of 3009*j**4 - 7*j**3/3 - 5*j**2/2 - 2*j + 9. Suppose 0*f + 24 = -4*f. Let i be p(f). Round i to the nearest 1000000.
-3000000
Let k = 0.6 - -0.8. Let h = k - 1.4128. What is h rounded to 3 dps?
-0.013
Let g = 0.024200898 - 0.0242. Round g to 7 dps.
0.0000009
Let t = 1990709 + -1990708.4069004. Let i = -0.1031206 + t. Let b = i - 0.49. Round b to five dps.
-0.00002
Let t = 1.05 + -0.05. Let z = 1.4 - t. Let j = 0.40000004 - z. What is j rounded to seven dps?
0
Let b = -162.43 - -164. What is b rounded to 1 decimal place?
1.6
Let k be 112022/2 + 2/(-2). Suppose 5*z - k = -21010. Round z to the nearest one thousand.
7000
Let l = 860.3 + -903. Let q = 40 + l. What is q rounded to 0 decimal places?
-3
Let i = 13.7 - 17.64. Let t = i - -6.8. Let r = -2.860129 + t. Round r to five decimal places.
-0.00013
Let t(l) = -117036*l**3 + 2*l**2 - 2*l + 4. Let z be t(-3). Suppose u - z = -3*u. Round u to the nearest 100000.
800000
Let p = 32513.14007 + -32513. Let b = p + -0.14. Round b to five decimal places.
0.00007
Let d = -12 - -5. Round d to the nearest ten.
-10
Let d = -0.437 - -0.437201. What is d rounded to 5 dps?
0.0002
Let u = 8 - 12. Let v = u + 8. Let j be -2 + v - (0 + -128). What is j rounded to the nearest one hundred?
100
Let z be -2 + (16300/(-12) - 1/(-3)). Round z to the nearest one hundred.
-1400
Let c = 16.799748 + -16.8. What is c rounded to four decimal places?
-0.0003
Suppose 0 = -2*w + 13 + 29. Let v be -7*((-60)/w - -2). Let f be ((-2624)/(-6))/(v/5625). Round f to the nearest 100000.
400000
Suppose 0 = -3*o - 674 + 188. What is o rounded to the nearest ten?
-160
Let c = -40 + 74. Round c to the nearest ten.
30
Let z = -5640 + -860. Round z to the
|
{
"pile_set_name": "DM Mathematics"
}
|
2 + -5. Let m(x) = -1890 + 1890 - 2*x. What is the units digit of m(h)?
4
Suppose -3*t - 12 + 3 = 3*u, 4*u + 2*t + 8 = 0. Let j = 1 - u. Suppose -d = j*d - 27. What is the units digit of d?
9
Suppose 0 = -n - 1 + 15. What is the units digit of n?
4
Suppose 4*v - 2*v + 4 = 0. What is the units digit of (0/(-3))/v + 3?
3
Let v(w) = w**2 + 7*w + 2. Let h be v(-7). Suppose h = -u + 4. What is the units digit of u?
2
What is the units digit of (-2)/6*186/(-2)?
1
Suppose 4*l = -2*o + 14, -3*o + 13 = -2*o + 5*l. Suppose -16 = -g - o*g. What is the units digit of g?
4
Let m = 4 - 12. Let g be (-2)/m - (-78)/(-24). What is the tens digit of 4/g*(-42)/4?
1
Let k(c) be the third derivative of 0 + c**2 - 1/60*c**5 - 1/4*c**4 + 1/2*c**3 + 0*c. What is the units digit of k(-6)?
3
Let r(t) be the second derivative of t + 1/20*t**5 + 0 + t**2 + 1/6*t**3 + 1/4*t**4. What is the units digit of r(-2)?
4
Let x(p) = -17*p**3 - 2*p**2 + 1. Let n be x(-1). Suppose m = -2*m + 33. Let r = n - m. What is the units digit of r?
5
What is the tens digit of 23 + 3 + -6 + 7?
2
Let b(v) = -5*v**2 + 7*v + 41. Let c(d) = -3*d**2 + 4*d + 21. Let w(a) = 4*b(a) - 7*c(a). What is the units digit of w(0)?
7
Let i(h) = 11*h**2 + 14*h + 34. What is the hundreds digit of i(-4)?
1
Let n(a) = 3*a + 9. Let b be 2*(405/(-6))/5. Let i(d) = 39*d + 117. Let h(q) = b*n(q) + 2*i(q). What is the tens digit of h(-7)?
1
Let q(o) = -7*o - 7. Let y be q(-6). Let c = y - 61. What is the units digit of c/(-3)*6/4?
3
Suppose m - 16 = -m. Suppose l = -l + m. Suppose 5*q - 61 - 34 = -n, 57 = l*q - 3*n. What is the tens digit of q?
1
Suppose -2*l + 51 - 13 = 0. What is the units digit of l?
9
Let k(j) = j**3 - 1. Let d(g) = 2*g**3 - 3. Let l be 2 + (-3 + 2 - 0). Let o(w) = l*d(w) - k(w). What is the units digit of o(2)?
6
Suppose 5*h - 99 - 61 = 0. What is the tens digit of (3 - h/(-2)) + 0?
1
Suppose a + 2*u = -a + 24, 5*a - 2*u - 32 = 0. Suppose 0 = -k - k + a. What is the units digit of k?
4
Let z(n) = 3*n. Let k(l) = l**3 + 12*l**2 - l - 9. Let r be k(-12). What is the units digit of z(r)?
9
Suppose -4*k + 7*k - 207 = 0. What is the tens digit of k?
6
Let g = 33 - 13. Suppose g = 4*u + u. Suppose -2*o - 4*y + 20 = 0, -4*o = -y + u*y - 35. What is the units digit of o?
8
What is the units digit of 2/(-9) - ((-1124)/36 - 3)?
4
Suppose -2*v - 5*y - 85 = 0, 5*v - 36 = -4*y - 223. Let r be (42/v)/(6/20). What is the units digit of 4/6 + r/(-12)?
1
Let d be (2 + (-3)/6)*-2. Let f(x) = -2*x. Let q be f(d). Suppose 5*i - c - 12 = 0, 6*c + q = 3*c. What is the units digit of i?
2
Let k(r) = 10*r**2 - 6*r - 6. What is the tens digit of k(-4)?
7
Let t(p) = p + 8. What is the units digit of t(3)?
1
Suppose 3*i - 49 = 23. Suppose 2*z + 0*z = -4*q + 16, 3*z + 2*q - i = 0. What is the units digit of z?
8
Let t = 22 + -20. What is the units digit of t/(-6) - 1088/(-24)?
5
Let r(q) = -7*q**3 + 2*q**2 + 2*q + 1. Let p = 4 + -4. Suppose n = -1 - p. What is the units digit of r(n)?
8
Let h(x) = -2*x**3 - x**2 + 3*x + 1. Let o(k) = k**2 + 3*k - 5. Let g be o(-5). Suppose 3*n = -g*q + 9, 2*q + q = 9. What is the units digit of h(n)?
7
Let g be ((-6)/(-4) + -2)*2. Let r be (3 + -9)*(-2)/(-4). What is the units digit of 2*g/(2/r)?
3
Let l = 50 + -40. What is the tens digit of l?
1
Let t(i) = 2*i + 2. Let l be t(-2). Let s = 19 + l. What is the units digit of s?
7
Let h(i) = 3*i**3 + 13*i**2 + 2. Let v(p) = p**3 + 6*p**2 + 1. Let q(y) = 2*h(y) - 5*v(y). Let l be q(3). What is the units digit of 2/7 - l/14?
1
What is the units digit of (-1023)/(-21) - 4/(-14)?
9
Let t(c) = -c + 2. Let p(x) = x**2. Suppose 2*v = v. Let r be p(v). What is the units digit of t(r)?
2
Suppose 679 = 7*i - 0*i. What is the units digit of i?
7
Let k = 29 + 21. What is the tens digit of k?
5
Suppose -3*x - 5*w + 735 = 0, -4*w = -2*x + 536 - 24. What is the hundreds digit of x?
2
Let j(p) = p**2 + 2*p + 4. Suppose -3*c = -2*c + 4. What is the tens digit of j(c)?
1
Let j = 400 + -234. What is the units digit of j?
6
Let c = 182 + -263. Let n = c + 113. What is the tens digit of n?
3
Suppose -15 = 4*r - 7*r. What is the units digit of (-15)/r*(-2)/6?
1
Let n(t) = 5*t**2 + 1. What is the units digit of n(-1)?
6
Let c(m) be the second derivative of m**5/20 - 2*m**3/3 + m**2/2 - 3*m. What is the tens digit of c(3)?
1
Let r = -11 + 23. Let s = 22 - r. What is the units digit of s?
0
Let t(r) = r**2 + 6*r - 6. Let g = -12 - -6. Let h be t(g). What is the units digit of ((-4)/h)/((-2)/(-21))?
7
Let m = -4 - -9. Suppose 0 = 5*c - 3*
|
{
"pile_set_name": "DM Mathematics"
}
|
, -0.1, 0.1.
-3, -0.1, 0.1, 86/9
Sort 0, 27, 1/12, 2/17, -1 in ascending order.
-1, 0, 1/12, 2/17, 27
Sort 39, -1.2, 5, 1.
-1.2, 1, 5, 39
Sort 54, -17, 2 in descending order.
54, 2, -17
Put 0.02, 1, 5.6 in descending order.
5.6, 1, 0.02
Sort 2, 1, 25 in descending order.
25, 2, 1
Sort 24, 1/3, -2.
-2, 1/3, 24
Put -1, -2/3, 0.5, 31 in ascending order.
-1, -2/3, 0.5, 31
Put 1, -30, -3, -2, -1 in increasing order.
-30, -3, -2, -1, 1
Sort 0.2, 3, 0.4, -3/1009 in increasing order.
-3/1009, 0.2, 0.4, 3
Put 218, 5, -4, -5, -2 in ascending order.
-5, -4, -2, 5, 218
Sort 1, 4, -4, 11, 1/2.
-4, 1/2, 1, 4, 11
Put 3, -3, -0.5, 122 in increasing order.
-3, -0.5, 3, 122
Put -7, 3, -14 in ascending order.
-14, -7, 3
Put -1.3, 0.52, -1, -1/6, 0.1 in ascending order.
-1.3, -1, -1/6, 0.1, 0.52
Put 17, -3, 0, -4 in decreasing order.
17, 0, -3, -4
Sort 2/7, 1/3, 0, 43/3, -0.6 in decreasing order.
43/3, 1/3, 2/7, 0, -0.6
Sort -3/2, 3/7, 320 in decreasing order.
320, 3/7, -3/2
Put -1, -4, -151 in ascending order.
-151, -4, -1
Sort -3, -14, 5, 3 in ascending order.
-14, -3, 3, 5
Put -3, 4, 119, -1, 9 in decreasing order.
119, 9, 4, -1, -3
Put 2, 1, 4, 11 in descending order.
11, 4, 2, 1
Put 0, -16, 1/4, -4 in decreasing order.
1/4, 0, -4, -16
Put 0, -74, -5 in decreasing order.
0, -5, -74
Put -3, 3, 30, -5 in descending order.
30, 3, -3, -5
Sort -0.4, -2/3, -0.1, -5, -0.3 in decreasing order.
-0.1, -0.3, -0.4, -2/3, -5
Sort 9, 1, -2/9, -0.05 in decreasing order.
9, 1, -0.05, -2/9
Put 1, 3, -209, -1 in decreasing order.
3, 1, -1, -209
Put 0, -0.3, -0.4 in decreasing order.
0, -0.3, -0.4
Sort -4, -3, -8 in decreasing order.
-3, -4, -8
Put 6, 12, -2, 2, 4 in decreasing order.
12, 6, 4, 2, -2
Sort -0.024, -1, 4, 4/3, 4/5 in descending order.
4, 4/3, 4/5, -0.024, -1
Sort -5, 5, 6, -3.
-5, -3, 5, 6
Sort -4, 1, -114 in increasing order.
-114, -4, 1
Sort 0, -5, 2.35, -0.5, -2/7 in descending order.
2.35, 0, -2/7, -0.5, -5
Sort -54, 1/8, 5, 0.3 in ascending order.
-54, 1/8, 0.3, 5
Put 13, 3, -2 in descending order.
13, 3, -2
Put -29, -5, 0 in descending order.
0, -5, -29
Sort -5, -2, 1, -115, 3 in decreasing order.
3, 1, -2, -5, -115
Put -1, 5, 0, -2 in ascending order.
-2, -1, 0, 5
Sort 3, 5, 7, 1, -5.
-5, 1, 3, 5, 7
Sort -24, 2, -6.
-24, -6, 2
Sort -22, -4, 0.5, 12 in descending order.
12, 0.5, -4, -22
Sort 25, 4, -3 in decreasing order.
25, 4, -3
Put -443, -4, -2 in ascending order.
-443, -4, -2
Sort -3, -9, 2/5, -1/4.
-9, -3, -1/4, 2/5
Sort 1/14, 3, 0.3, 4, -5 in descending order.
4, 3, 0.3, 1/14, -5
Put 5, 6, 2, -3 in decreasing order.
6, 5, 2, -3
Put 3, 0.1, 5, 4/9 in descending order.
5, 3, 4/9, 0.1
Sort 1, -39, 3, -19 in increasing order.
-39, -19, 1, 3
Sort -2, 9, 0.1 in descending order.
9, 0.1, -2
Sort -277, 0, -4 in increasing order.
-277, -4, 0
Sort -5, 2, -17452 in ascending order.
-17452, -5, 2
Put 9, -13, 0, 1, -2 in increasing order.
-13, -2, 0, 1, 9
Sort 53, -5/4, 2/7.
-5/4, 2/7, 53
Put -2/5, 0.0267, 2/13 in descending order.
2/13, 0.0267, -2/5
Sort 0, 1, -67.
-67, 0, 1
Put -2, -49, -1 in increasing order.
-49, -2, -1
Sort 216, -3, -9 in ascending order.
-9, -3, 216
Put -325, 2/3, -3, -4 in increasing order.
-325, -4, -3, 2/3
Sort 2/19, -0.58, 1/4 in descending order.
1/4, 2/19, -0.58
Put -1, 1, 4, -74, -5 in increasing order.
-74, -5, -1, 1, 4
Sort 8, 4, -1, 0.07 in ascending order.
-1, 0.07, 4, 8
Sort -0.5, -1, -1083.
-1083, -1, -0.5
Put 2/3, 2/5, 12 in decreasing order.
12, 2/3, 2/5
Put 2, 3/7, 1, -5 in ascending order.
-5, 3/7, 1, 2
Sort 7, 2, 0.1, -3, 1/3 in increasing order.
-3, 0.1, 1/3, 2, 7
Sort 0.4, 6, 2, -1/6, -28 in ascending order.
-28, -1/6, 0.4, 2, 6
Put -1/5, 2/5, -0.33, 4, 1 in increasing order.
-0.33, -1/5, 2/5, 1, 4
Put 1, 0.5, 37, -0.4 in descending order.
37, 1, 0.5, -0.4
Put 0, 7, 0.1, -0.062 in descending order.
7, 0.1, 0, -0.062
Put -0.4, -2.79, -0.1, -0.2 in descending order.
-0.1, -0.2, -0.4, -2.79
Put -2/11, 0, 3/4, 1, -1/7 in descending order.
1
|
{
"pile_set_name": "DM Mathematics"
}
|
**4/2 - 2752*s**3/3 - 11857*s. Find the second derivative of a(l) wrt l.
-12*l**2 - 12*l + 756
Let b(i) be the second derivative of 2081*i**4/6 + 3113*i**3/2 - 11221*i. What is the second derivative of b(v) wrt v?
8324
Let w(q) = q**3 - 2*q**2. Let x(d) = 236*d**4 - 3*d**3 + 6*d**2 + d + 1201. Let b(m) = 3*w(m) + x(m). What is the first derivative of b(j) wrt j?
944*j**3 + 1
Let j be (-3)/(18/(-12)) - 0. Find the first derivative of 233*o - 85 + 229*o - 459*o - 12*o**j wrt o.
-24*o + 3
Let f(u) = -2491*u**3 - 6*u**2 - 6*u - 1170. Let s(r) = 2490*r**3 + 4*r**2 + 4*r + 1170. Let x(g) = -2*f(g) - 3*s(g). Differentiate x(l) wrt l.
-7464*l**2
Let v(w) be the first derivative of -653*w**4/2 + 2*w**3/3 - 6349*w - 10651. Find the third derivative of v(i) wrt i.
-7836
Let q = -227 + 253. Let d = -9 + 27. Find the first derivative of 7*x**3 + x**3 - q + d + 16 wrt x.
24*x**2
Let v(r) = 2*r**2 - 31*r + 82. Let p be v(3). Let a(l) be the first derivative of 0*l**4 + 0*l**2 - 8*l - 8/5*l**5 + 0*l**3 - p. Differentiate a(w) wrt w.
-32*w**3
Differentiate -5884*q + 5578*q + 1182 - 119 with respect to q.
-306
Suppose -24*a + 12 = -21*a. Suppose 9 = a*x - 7. Find the third derivative of 9*n**4 - 38*n**2 + 3*n**x + 9*n**2 wrt n.
288*n
Let o(d) be the first derivative of -1137*d**4/4 - 1501*d - 924. What is the first derivative of o(w) wrt w?
-3411*w**2
Let k = -45 - -23. Let a = 43 + k. What is the second derivative of f**2 - 7*f - 20*f**5 - f**2 + a*f**5 wrt f?
20*f**3
Let h be (-57)/(-133) + (-59)/7. Let f = h - -10. Find the second derivative of 19*k**f - 14*k**2 - 8*k - 8*k**2 - 9*k**2 wrt k.
-24
Let s(u) = 2*u**2 + 6*u + 8. Let q be s(-2). Find the second derivative of 247*x - 225*x - 3 + 5 - 3 - 78*x**q wrt x.
-936*x**2
Let r(o) be the third derivative of -o**6/30 - 95*o**4/24 - 191*o**3/6 - 1155*o**2. Differentiate r(f) with respect to f.
-12*f**2 - 95
Suppose -4*y + 20 = -2*r + 4*r, 0 = y - 2*r - 10. What is the third derivative of -39*g**2 - 70*g**y + 10046*g**3 - 10046*g**3 wrt g?
-8400*g**3
Find the second derivative of -5*w**3 + 13*w**3 - 6*w**2 - 2*w**2 - 6*w + 142 + 2*w + 33*w**2 wrt w.
48*w + 50
Suppose 5*p - 3*p - 2612 = 0. What is the first derivative of -46 + p*y - 70*y**2 - 1306*y wrt y?
-140*y
Let p(s) be the first derivative of 70*s**6/3 - s**5 + 1039*s**3/3 + 1190. Find the third derivative of p(h) wrt h.
8400*h**2 - 120*h
Let z(f) = 5*f**2 - 7*f + 113. Let o be (-1)/(-2) - (-20)/8. Let a(g) = -9*g**2 + 12*g - 228. Let w(k) = o*a(k) + 5*z(k). Differentiate w(y) with respect to y.
-4*y + 1
What is the second derivative of -732*q - 767*q + 19919*q**5 - 21823*q**5 wrt q?
-38080*q**3
Suppose -30 = -5*u - 4*n, 0 = 4*u - 4*n + 9*n - 33. Find the third derivative of 91*s**2 + 176*s**2 - 150*s**u - 66*s**4 wrt s.
-1584*s
Let p(b) be the second derivative of -2/3*b**3 + 33/2*b**2 + 11/20*b**5 + 0 - 1/3*b**4 + 29*b. What is the second derivative of p(r) wrt r?
66*r - 8
Let x(p) = 419*p**4 - 1082*p**2 - 4*p + 8. Let m(r) = -836*r**4 + 2163*r**2 + 9*r - 18. Let d(k) = 4*m(k) + 9*x(k). What is the third derivative of d(s) wrt s?
10248*s
Let y(q) = -40*q - 12. Let j be 1/2 - 14/4. Let f be y(j). Find the second derivative of 2*d**2 + 53*d - f*d + 51*d wrt d.
4
Find the third derivative of 391 - 221*c + 2*c**2 + 517 + 0*c**2 + 221*c + 1420*c**3 wrt c.
8520
Let t(i) be the second derivative of 1553*i**4/6 - i**3/3 + 653*i**2/2 + 180*i + 18. Differentiate t(m) wrt m.
6212*m - 2
What is the second derivative of -3226*x + 98352*x**2 + 239*x**3 - 98354*x**2 + 4*x**4 - 14*x**4 wrt x?
-120*x**2 + 1434*x - 4
Let k = 27 - 27. Suppose k = 7*w - 2*w - 20. What is the second derivative of -2*u - 41*u**w - 26*u**4 + 23*u + 32*u**4 wrt u?
-420*u**2
Let n(k) be the second derivative of 0*k**2 + 0 - 31/28*k**8 - 51*k + 0*k**5 + 0*k**7 + 0*k**6 + 1/12*k**4 - 2/3*k**3. Find the third derivative of n(u) wrt u.
-7440*u**3
Let f(c) be the first derivative of 39*c**5 - c**3 + 14558*c - 297. Find the first derivative of f(l) wrt l.
780*l**3 - 6*l
Differentiate 2277 + 198*j**2 - 16*j**2 - 179*j**2 + 221*j**2 - 5*j**3 + 20*j**3 with respect to j.
45*j**2 + 448*j
Let h(l) = 647*l**3 + 1541*l**2 - 6*l - 12. Let u(z) = 647*z**3 + 1540*z**2 - 4*z - 8. Let f(c) = -4*h(c) + 6*u(c). Find the third derivative of f(n) wrt n.
7764
What is the third derivative of -8359343 + 8359343 - 1996*x**2 + 12783*x**3 wrt x?
76698
Let p(
|
{
"pile_set_name": "DM Mathematics"
}
|
a = 28 + -25. Suppose -d + 3*d + 4*f - 84 = 0, a*f + 112 = 2*d. What is the tens digit of d?
5
Let s = 4 + 4. Suppose -2*n - 2*n + s = 0. Suppose -j = -n*k - 49, -3*j - 2*k + 179 = -0*j. What is the tens digit of j?
5
Let t = -984 + 984. Let z be (-192)/(-14) + (-4)/(-14). Suppose t = -18*j + z*j + 28. What is the units digit of j?
7
Let k = 1381 + -472. What is the units digit of k?
9
Let n(w) = -196*w - 5. What is the units digit of n(-1)?
1
Suppose 3*m - 2*j = -14, j = -2*m + 6*j - 24. What is the units digit of (m/(-4))/((-5)/(-610))?
1
Let f = -13 - -17. Suppose -2*x - 13 = -0*q - 3*q, 0 = f*q - 2*x - 18. Suppose 2*n - 70 = -j, -q*n - 4*j + 172 = -0*j. What is the tens digit of n?
3
Let b be (1 + 3/(-6))*312. Let y = b + -91. What is the tens digit of y?
6
Suppose 4*p - 5*w + 336 = 1404, 4*p = -2*w + 1040. What is the tens digit of p?
6
Suppose -13*d - 78 = -26. What is the tens digit of (52/(-10))/(3*d/180)?
7
Let k(d) = 2*d - 10. Let u be k(9). Let y(z) = 6*z - 1 + 12*z**2 + z - u*z. What is the units digit of y(-1)?
2
Let d = 588 - -1306. What is the tens digit of d?
9
Let g be 11 - 3 - (-6)/(-2). Suppose -212 + 782 = 4*l + g*w, 5*l + 4*w = 717. What is the units digit of l?
5
Let s(r) = 3*r**3 - 5*r**2 - 6*r - 11. Let w be s(9). Suppose 0 = 10*d - 13 - w. What is the hundreds digit of d?
1
Let b(i) = 3*i**2 - 39*i + 5. Suppose 20*w - 247 = 7*w. What is the units digit of b(w)?
7
Let g(b) = -139*b**3 - b**2 - b - 1. Let r be g(-1). Suppose k + 25 = r. Suppose -3*d - 183 = -3*n, k = 2*n - 2*d + 3*d. What is the units digit of n?
8
Let z(b) = -793*b + 4. What is the hundreds digit of z(-1)?
7
Let r be -2 - (25/(-5) + -1). Suppose 0 = r*i - 3*w - 462, -212 = -2*i + 3*w + 22. What is the hundreds digit of i?
1
Suppose -5*a + 2 = -5*p + 17, -p = a - 7. Suppose a*t = -2*t + 228. Let o = t - 12. What is the tens digit of o?
4
Suppose 2*t = -0*t - 5*n + 1311, -n + 651 = t. What is the hundreds digit of t?
6
Let f(s) be the first derivative of -s**4/4 + s**3/3 + s**2 + 2*s + 16. What is the units digit of f(2)?
2
Suppose 21*k = 11*k + 2490. What is the hundreds digit of k?
2
Suppose -i + 3*y = -691, 5*i - 3*i + 3*y - 1364 = 0. What is the units digit of i?
5
What is the hundreds digit of 10/6 - 296*(-234)/108?
6
Let r(c) = -2*c**2 + 13*c - 2. Let j be r(6). What is the units digit of j - (-4 - 136 - 2)?
6
Let v(a) = 2*a**2 + 4*a + 4. Let g be v(-3). What is the units digit of (-168)/(-20) - 4/g?
8
Suppose -x + 9 = 2*x. Suppose 0 = x*z - 4*b + 4, -3*z + 5*b + 0 = -1. Let f = z + 13. What is the units digit of f?
5
Let l(t) = -t**2 + 8*t - 5. Let h be (-24)/(-40)*(-1 - -11). Let d be (-2)/((-4)/h) + 3. What is the units digit of l(d)?
7
Suppose u + 5*t - 20 = 0, 0*u + u - 5*t + 10 = 0. Suppose 4*d = u*c + 201, 0*c - 103 = -2*d + 5*c. What is the units digit of d?
9
Let s = 49 - 50. What is the units digit of s/3*(155/(-1) - -2)?
1
Let n be (-81)/18*4/(-6). Suppose -106 + 304 = n*a. What is the tens digit of (-11)/11 + 1 + a?
6
Let f(m) = 2*m - 6. Let o be f(-9). Let l be 4/6 - o/(-9). What is the tens digit of (-4)/(-2) - (-18 - l)?
1
Suppose -2*o - 2*o - 2*k + 294 = 0, 4*o - 5*k - 287 = 0. Suppose -2*d - 180 = 2*d + u, 5*d + 225 = -2*u. Let m = o + d. What is the tens digit of m?
2
Let d be 1 + 15/(-5) + -146. Let g = -94 - d. What is the tens digit of g?
5
Suppose -h = c + 2*c + 13, -3*h = c + 71. Let f = 35 + h. What is the tens digit of f?
1
Suppose 610 = u - 6*u. Let d = -203 - u. Let k = -43 - d. What is the tens digit of k?
3
Let k = 10 + -16. Let s(z) = z**2 + 5*z - 3. Let b be s(k). Suppose -b*o - 3*u = -111, 2*u = -5*o + 4*u + 178. What is the units digit of o?
6
Let z be (0 - (-4 + 4))/2. Suppose z = t - 4*t + 24. Let h = t - -3. What is the units digit of h?
1
Let j be (-2)/(-5) + -1 + (-322)/(-70). Suppose j*k = 17 - 1. What is the units digit of k?
4
Let t(r) = r**3 - 5*r**2 - 3*r + 5. Let x = -1 + 4. Suppose 0*o = 4*o + 3*k - 24, 3*o - x*k - 18 = 0. What is the units digit of t(o)?
3
Let s = 721 + -447. Suppose s = 2*n + 74. What is the hundreds digit of n?
1
Suppose -5*l = -2*l - 6. Let c be (-1125)/(-18) + l/(-4). Let b = 89 - c. What is the units digit of b?
7
What is the tens digit of ((-5621)/(-28))/((-2)/(-8))?
0
Suppose 0 = -5*p + 4*r - 9*r + 3340, 0 = -4*p - 5*r + 2670. What is the hundreds digit of p?
6
Suppose 2*t + 3490 = 42*k - 39*k, -5*t + 5 = 0. What is the tens digit of k?
6
Let a be (1/1)/((-3)/(-33)). Let l(g) = g**2 - 10*g + 1. Let w be l(a). What is the units digit of 76*(15/w)/5?
9
What is the units digit of (27/(-36))/(1*2/(-8136))?
1
Let z = 7 + -9. Let p be ((-10)/(3 + 2))/z.
|
{
"pile_set_name": "DM Mathematics"
}
|
tiple of 3?
False
Let m(l) = -6 - 2 + 12*l**2 + 4 - 20*l - l**3 - 5. Is m(8) a multiple of 29?
True
Let s(k) = -3*k**3 + 2*k. Suppose -5*u - 14 = -4. Does 12 divide s(u)?
False
Let x(i) = 5*i**2. Suppose 0 = 3*j - 34 + 49. Is 5 a factor of x(j)?
True
Let z = -11 + 11. Suppose -4*p - p + 80 = z. Let g = p - -40. Is g a multiple of 28?
True
Let c(l) = l**3 - 6*l**2 - 6*l - 7. Let b be c(7). Let z = 386 + -206. Suppose b*n = -5*n + z. Is 12 a factor of n?
True
Let d = 82 + -66. Let p = 12 + d. Does 13 divide p?
False
Suppose -t + 200 = -2*y + 4421, -5*y + 10546 = 4*t. Is y a multiple of 29?
False
Is 28/(-20) + 2 + (-42966)/(-90) a multiple of 3?
False
Let z be (0 + (-2 - -2))/(-3). Suppose -5*o + 182 - 22 = z. Let l = 57 - o. Does 25 divide l?
True
Let y(k) = 6*k**2 - 3*k + 27. Let f be y(-9). Suppose -7*p + 2*p = -f. Is p a multiple of 13?
False
Suppose 80 = 5*i - 2*i - k, 5*i - 156 = -4*k. Let w = -12 + -4. Let s = i + w. Does 7 divide s?
False
Suppose 0 = 4*d - 9 - 19. Let m = d + -2. Suppose -n - 32 = -m*n. Is n a multiple of 6?
False
Let y be 3*4/(-2)*-27. Suppose -4*l - l + 10 = 0. Suppose -y = -l*a - a. Does 9 divide a?
True
Let q(r) = -r**3 + 7*r**2 - 5*r + 2. Let c be q(5). Suppose c = 4*i - 33. Is i a multiple of 4?
False
Let s = 154 - 124. Does 26 divide s?
False
Let s(j) = 2*j**3 - 3*j**2 + 2*j - 1. Let b be s(2). Let z(w) = -5 + w - b - 5*w + 0*w. Is z(-9) a multiple of 12?
True
Suppose 4*g - 1235 = -p, -g + p = 3*p - 300. Does 12 divide g?
False
Let g = -79 - -11. Let c = g - -197. Is c a multiple of 10?
False
Suppose 4*j - r - 206 = 54, j + 2*r = 56. Is 70*(4 - j/20) a multiple of 16?
False
Let h be (-29)/2 - 1/(-2). Is 6 + (-1197)/h + 3/2 a multiple of 12?
False
Let k(c) = c**3 - 3*c**2 + 2*c - 2. Let h be (-6)/(-10) + (-60)/(-25). Let n be k(h). Suppose -2*i = z + 2*z - 180, -166 = -2*i + n*z. Is i a multiple of 29?
True
Let l(w) = -w**3 - 10*w**2 + 11*w - 2. Let s be l(-11). Let b be 1/s + (-105)/6. Is (-2)/3 + (-894)/b a multiple of 16?
False
Let m(a) = 3*a**2 - 4*a + 88. Let w(d) = 2*d**2 - 3*d + 89. Let q(g) = -4*m(g) + 5*w(g). Suppose 8*p - 4*p = 0. Does 31 divide q(p)?
True
Suppose -22 = -4*c + 14. Suppose 0 = r + 3, c = t + 2*t + 2*r. Suppose t*k - 3*k = 2*i + 72, 67 = 2*k - i. Is k a multiple of 31?
True
Let n = -51 + 76. Suppose -a + n = -0*a. Suppose -k - 3*w + 0*w = -25, -3*k + w = -a. Is k a multiple of 6?
False
Suppose 5 + 50 = -3*g + t, 0 = g + 3*t + 5. Let s = g - -23. Suppose s = n - 33. Does 22 divide n?
False
Suppose 3*f + 2*f = 5*o - 395, 2*o - 152 = -4*f. Does 13 divide o?
True
Let x(w) = 11 + 6*w - 4*w - w. Let u be x(-6). Suppose 131 = u*v - 4*l, 0 = 5*v + 2*l - 72 - 65. Is 21 a factor of v?
False
Let b(o) = o**2 + o - 1. Let r(l) = 2*l**2 + 6*l + 26. Let p(f) = 3*b(f) - r(f). Is p(-9) a multiple of 13?
False
Suppose 3*m = 15 - 75. Let r = m - -24. Suppose -r*a + 242 = 82. Is a a multiple of 21?
False
Let m(a) = -3*a**2 + 70*a - 22. Suppose 4*b = -0*w + 2*w + 70, 0 = 5*b + w - 91. Does 38 divide m(b)?
True
Suppose 10*l + 8 = 38. Suppose -l*g - 208 = -19*g. Does 8 divide g?
False
Let k be (-7 - -4)/((-6)/14). Suppose -r + 43 + k = 3*a, 4*r = -3*a + 56. Is 19 + a - (-3 + 1) a multiple of 9?
False
Let v(d) = 11*d**2 + 30*d + 76. Is v(-16) a multiple of 18?
True
Suppose 3*n - 9 = -3. Let g be 3/n*(-128)/(-6). Suppose -7 = z - g. Does 4 divide z?
False
Suppose -14*p = -662 - 3398. Does 15 divide p?
False
Does 9 divide 2 + -3 - 1098*(-4)/8?
False
Let j(t) = -2*t**2 - 3*t + 8. Let c(d) = 3*d**2 + 6*d - 15. Let n(r) = -4*c(r) - 7*j(r). Is n(3) a multiple of 13?
True
Let n(h) = h**2 + 13*h - 12. Let c(b) = 2*b**2 + 19*b + 8. Let f be c(-8). Is n(f) a multiple of 12?
True
Suppose 83 - 81 = 2*d. Is 10 a factor of (-1)/(d/(-1)) + 192/2?
False
Let o(n) = -n**2 - 3*n. Let t be o(-4). Let w(b) = -6*b**2 + 10*b**2 - b**2 - 2 - 10*b + 8*b. Is 10 a factor of w(t)?
False
Let l(n) = -3*n - 8. Let b(k) = k - 1. Let z(j) = 2*b(j) + l(j). Let h be z(-16). Let x = h + -1. Is x a multiple of 5?
True
Let b(q) = 6. Let j(a) = a - 3. Let s(l) = 3*b(l) + 6*j(l). Let w be s(1). Suppose -27 = -3*y + 4*k, 0*k + 2*k = -w. Is y a multiple of 5?
True
Does 37 divide (-80)/600 - 10684/(-30)?
False
Let o be 0 + -1*225/(-5). Let r be (4/(-5))/((-1)/5). Is (702/o)/(r/10) a multiple of 13?
True
Let r(f) = 12*f**2 + 2*f + 17. Does 17 divide r(-3)?
True
Suppose 0*q + q = -4
|
{
"pile_set_name": "DM Mathematics"
}
|
t to 0? (a) -0.002 (b) -3/7 (c) 0.2
a
Which is the nearest to 0.4? (a) 1 (b) -2/11 (c) 3
b
What is the closest to -0.1 in 0, -3, 3, -5?
0
Which is the nearest to 1? (a) 2/13 (b) 1 (c) 140 (d) -5
b
Which is the closest to 0? (a) -40 (b) 2 (c) 5 (d) 10/3
b
Which is the closest to 2/3? (a) 39 (b) 3 (c) -56
b
Which is the closest to -0.02? (a) 12 (b) 0.4 (c) 0.02
c
Which is the nearest to 1? (a) -4/9 (b) -0.2 (c) 0.1 (d) 18
c
What is the nearest to 17 in -2, 0.3, 0.2?
0.3
Which is the closest to 0? (a) -2/17 (b) 1 (c) -2/87
c
What is the nearest to -11 in -0.04, 1/2, 5?
-0.04
What is the nearest to -2/7 in 0.3, -1, -1/2, -20?
-1/2
Which is the nearest to -1? (a) -0.4 (b) -1 (c) 0.2 (d) -0.8
b
Which is the nearest to -14/5? (a) -5 (b) -4 (c) 4
b
What is the closest to 0.17 in 7, -0.5, -1, -3?
-0.5
What is the closest to 3/2 in -0.01, -4, 3/7?
3/7
What is the nearest to -3/2 in 5/6, 62, -0.4?
-0.4
Which is the nearest to -1? (a) -1/4 (b) 1/6 (c) 3/2 (d) 1/8
a
Which is the closest to 0.4? (a) -2/3 (b) 0 (c) 1/3
c
Which is the nearest to 0.2? (a) -0.2 (b) 3.7 (c) 4
a
Which is the closest to -0.005? (a) 1 (b) -4 (c) -5
a
Which is the nearest to 0? (a) 4 (b) -0.2 (c) -3/2 (d) 1/4
b
What is the closest to -4/3 in 0, -5/4, -1?
-5/4
What is the nearest to -5/6 in 2/11, -2, 0.1?
0.1
What is the nearest to -1 in 1/25, -4, -1/9?
-1/9
What is the nearest to -108 in -5/4, -5, -1?
-5
Which is the nearest to 1? (a) -12/7 (b) 1 (c) -4 (d) -0.5
b
Which is the closest to -1.8? (a) 3/4 (b) 4 (c) 2/11
c
Which is the closest to -4/5? (a) -4/3 (b) -2/11 (c) -2/21 (d) 0.1
a
What is the nearest to -0.03 in -1/7, 3/5, -3, 0?
0
What is the nearest to -184 in 2/5, -1/4, 0?
-1/4
What is the nearest to 19/2 in -2, 1, 0.03?
1
Which is the closest to -1? (a) 4/3 (b) 3 (c) 2 (d) 0
d
What is the nearest to -0.1 in 2/11, 5, -4, -25?
2/11
Which is the closest to 583/4? (a) 1 (b) 0 (c) 4
c
What is the nearest to -1/6 in 2, 22, -5, -0.5?
-0.5
Which is the nearest to -11/7? (a) 1 (b) 3/4 (c) -7 (d) -2/3
d
What is the nearest to -6/11 in -1/4, -2/23, -0.1?
-1/4
What is the closest to -1 in -1/6, 1.4, 1/3, -2/9?
-2/9
Which is the closest to 5? (a) -46/21 (b) -4 (c) -0.3 (d) 0.2
d
What is the closest to -62 in -0.5, -1/6, 2?
-0.5
Which is the nearest to 0.2? (a) -2/3 (b) -3 (c) -2 (d) -1/3
d
Which is the closest to 1/3? (a) -2/15 (b) -4 (c) -2 (d) 0.5
d
Which is the closest to 1/150? (a) -2 (b) 1/4 (c) -1
b
Which is the nearest to 2/5? (a) 0.4 (b) 11 (c) -70
a
Which is the closest to 4/9? (a) 0.03 (b) -1 (c) -1/3
a
Which is the nearest to 2? (a) -0.2 (b) -26 (c) 5/2 (d) -0.3
c
Which is the closest to -1? (a) -6/11 (b) -2 (c) -4/5
c
What is the nearest to -0.212 in 1/3, 0, -0.002?
-0.002
What is the closest to -2 in 14, 5, -2, 2/7?
-2
Which is the closest to 9? (a) -0.4 (b) 11 (c) -4 (d) 0
b
Which is the closest to 7.6? (a) -0.5 (b) -0.2 (c) -7/5
b
What is the closest to 0.1 in -1/4, -4, -0.1, -0.4?
-0.1
Which is the closest to -1? (a) -0.2 (b) -0.5 (c) 2/15 (d) 9.2
b
Which is the nearest to -1? (a) -0.06 (b) -2/15 (c) 1
b
What is the closest to 0.1 in 0, -2/11, 1/4, -3/2?
0
Which is the closest to -1? (a) 0.2 (b) -0.2 (c) 23 (d) 2
b
What is the closest to 0.1 in 0.2, -1, 3, 5?
0.2
Which is the nearest to -2/15? (a) -14 (b) 0.1 (c) 2 (d) 3
b
Which is the closest to -0.2? (a) 0 (b) -0.5 (c) -30 (d) -1
a
What is the nearest to -0.02 in -29, -2, -0.3?
-0.3
Which is the nearest to -2? (a) -3/8 (b) -5 (c) -3 (d) -6
c
Which is the closest to -1/4? (a) -1/43 (b) 4 (c) -2
a
What is the closest to 2 in -7, 0.2, -2, -0.5?
0.2
What is the nearest to -4.4 in 3/2, 4/3, 3/4?
3/4
What is the closest to -11 in 71, -2/3
|
{
"pile_set_name": "DM Mathematics"
}
|
161 = 7 for d.
11
Solve -5*g + 130 = 1633*i - 1610*i, 5*g + i - 20 = 0 for g.
3
Solve -r - 3*r = i + 32 + 25, 3*r = -2*i + 3*i + 22 for r.
-5
Solve -815*s = -814*s + 5*f - 67, -3*s + s + 0*f + f + 0 = 9 for s.
2
Solve 777*b - 31 = -3*s + 778*b, -10 = -5*b for s.
11
Solve 205088*s - 205092*s - 2*k + 34 = 0, -8 = -s - k for s.
9
Solve -4*z - 4*t + 20 = 0, 3*z + 2*z + 0*z - 19*t + 95 = 13*z - 4*z for z.
0
Solve 3*n + 6 + 29 = 2*o + 62, -19 = n + 4*o for n.
5
Solve 2384 = -52*h - 5*w + 7, 0 = 3*h + 4*w + 126 for h.
-46
Solve -3297*t + 3294*t = -5*y + 11, 4*t - 4*y = -4 for t.
3
Solve -i - 6*j + 37 = 0, -781*i = -780*i - j + 5 for i.
1
Solve r + 49 = -19*u, -201*u + 2 = r - 199*u for r.
8
Solve 5*c - 5*g + 30 = 0, 0 = -30675*c + 30687*c - 4*g + 8 for c.
2
Solve 24 = q - 5*j, 5*q - 2*j = 5*q - 3*q + 20 for q.
4
Solve -2842*i = 4*a - 2849*i + 128, 3*a + 3*i - 36 = 0 for a.
-4
Solve -16*f + 4*n + 192 = -0*n, 2*f - 11*n + 9*n + 11 = 41 for f.
11
Solve -6*g - d + 61 = 0, -125736*g = -125731*g - 5*d + 340 for g.
-1
Solve 0 = -2*v - 5*f + 38 - 14, 7*v - f - 451 + 478 = 0 for v.
-3
Solve 3*a + 91 = 3*p + 127, 5*a + 3*p = 4 for a.
5
Solve 0 = 5*u - 10, 2180 = -6*p + 3*p - 3*u + 2201 for p.
5
Solve -51 = n + 24*m + 15, -3*n - m = -15 for n.
6
Solve 2*s - 5*a = 30, 4*s - 2*s + 2*a + 34 = -6*a + 5*a for s.
-5
Solve -r + 1280 = b + 1286, -4*b = -5*r - 3 for b.
-3
Solve 0 = -b + 2*j - 18150 + 18143, -j - 11 = -15*b for b.
1
Solve -4*a + 13 = -t, 844 - 1669 = -4*a - 3*t - 832 for a.
2
Solve -5*o = 2*m + 22, 28742 = 5*m + 5*o + 28782 for m.
-6
Solve 3217*a = -b + 3213*a - 231, -111 = -b + 2*a for b.
-3
Solve 8*i - 15*i + 4*d - 8 = 0, 10474*i - 10470*i = 4*d + 4 for i.
-4
Solve 0 = 11*k + 5*t - 4*t - 34, -13*k - 32 = -11*k + 4*t for k.
4
Solve -2*s + a - 67 = 0, 4*s - 5*s - 4*s - 184 = 3*a for s.
-35
Solve 5*o = 0, 32*f + 3*o + 397 - 358 = 392 + 543 for f.
28
Solve 10*v - 15*v - b = 10, -6*v + 2*b - 6*b + 16 = 0 for v.
-4
Solve -546*g - 149 = -551*g - 3*q, -118 = -4*g - 2*q for g.
28
Solve -z - 15 - 27 = -4*y, 2*y - 45 = -23 for z.
2
Solve 10746*u = -6*b + 10741*u + 85, 3*u - 44 = -5*b for b.
-5
Solve 0 = -2*m - 356*s + 358*s + 42, -5*m + 12*s + 26 + 58 = 0 for m.
24
Solve 2*d - 126 = -5*a, 4*a + 23903*d - 23901*d - 100 = 0 for a.
26
Solve 308*c - 58 = 307*c + 3*y, 0 = -c + y + 18 for c.
-2
Solve -1596*p - 2*i = -1593*p - 22, -4*i = p - 34 for p.
2
Solve -3*a + 48 = -3*q, -16048*q - 5*a = -16042*q + 41 for q.
-11
Solve 0 = 5507*p - 5513*p + 5*r - 51, 0 = p + 4*r - 64 for p.
4
Solve -5*k = -2*c - 3*k + 12, -6953*c - 3*k - 4 = -6949*c for c.
2
Solve 11 = 5*k + j, 3*j - j = 6*k + 16*k - 42 for k.
2
Solve 0 = -4*o + 2*q - 2*q - 5*q - 25, -99 + 42 = 12*o - 3*q for o.
-5
Solve 625*v - 313*v = -4*a + 310*v + 44, 6*a = 5*v + 66 for a.
11
Solve 0 = 689*k - 686*k + 15, -196 = 4*g + 32*k for g.
-9
Solve 5*i - 12 + 16 = o, -i - 66 = i - 5*o for i.
2
Solve -158*l - 4*n = -155*l + 23, 2*l - l + 4*n = -21 for l.
-1
Solve 3*b = r - 180, -5*r - 7*b - 19969 = -19571 for r.
3
Solve 8136 - 8106 = -3*z + 3*h, 99*z + 787 + 107 = 3*h for z.
-9
Solve 7*d - 4*d - 31 = 13*f - 9*f, 5*f - 40 = -d - 4*d for d.
9
Solve -4*q + 64 = 2*h, -301*h - 75 = -2*q - 4*q - 297*h + 7 for q.
15
Solve 5*a + 5*p - 65 = 0, 73401*a - 8*p = 73396*a for a.
8
Solve -296817*g + 296822*g + 105 = -4*f, 4*g - f = 0 for g.
-5
Solve -5*u - 260 = 15*q, -u = -2741*q + 2736*q + 12 for q.
-5
Solve 59*n = 4*c + 79, -257*c + 0*n - 3*n + 23 = -261*c for c.
-5
Solve 5*d - 46 = 12*t, 10241*d = 10238*d - 3*t - 3 for d.
2
Solve 133*b - 130*b + 4*h = 56, 973*b - 15570 = -h for b.
16
Solve -4*g + 389*o - 55722 = -1117*o, -6*g - o - 185 = -g - 6*o for g.
0
Solve 5*h = -5*x + 25, 38*h + 2*x = 33*h + 10 for h.
0
Solve -38*k + 38*k + 14 + 8 = 11*o, 4*k = o + 3*o +
|
{
"pile_set_name": "DM Mathematics"
}
|
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