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e
Let p(f) = 12*f**2 - f. Suppose -4*m - 6 = 6. Is p(m) a prime number?
False
Let v(f) = -f**2 - 2*f + 5. Let l be v(-4). Is 115/(1 + l + 3) prime?
False
Let d be (7 - 2) + -1*2. Suppose -5*i + 0 + 4 = d*p, -3*p + 4*i = -13. Suppose -2*w = 4*o - 4, -10 = -o + p*w + 5. Is o a composite number?
False
Let x(h) = -3*h**3 + 4*h**3 - 7*h**2 + 3*h + 3*h**2. Let d be x(2). Let s(w) = 17*w**2 + w + 1. Is s(d) prime?
True
Let b(v) = -2*v**3 + 5*v**2 + 5*v + 9. Let o(z) = z**3 - z - 1. Let y(c) = -b(c) - 3*o(c). Let w be y(-5). Suppose -u + w*u = 9. Is u a composite number?
False
Let d = 2 + -3. Let y be d/((-15)/(-9))*-5. Suppose y*f - 35 = 2*f. Is f prime?
False
Let n = 654 - 334. Let a = -117 + n. Is a a composite number?
True
Let s(q) = q**2 + 6*q + 5. Suppose -4*v - 20 = v. Let x be s(v). Let r = 16 + x. Is r prime?
True
Let h be 0 - (-2 - (-1)/(-1)). Let d(l) = l**2 + 1 + l**2 + 2*l**2. Is d(h) composite?
False
Let d(a) = 1801*a**2 + 3*a + 3. Is d(-1) a prime number?
True
Let x(y) = y**2 - 5*y + 7. Is x(8) a composite number?
False
Let h = 3861 + -2635. Is h composite?
True
Let m(u) = -u**3 - u**2 - 6. Let w be m(0). Is (0 - 1) + (110 - w) composite?
True
Suppose 126 = 5*c - 59. Suppose 17 = -x + 1. Let j = c - x. Is j composite?
False
Is ((-6)/(-3) - 5) + 1474 a composite number?
False
Let g be ((-26)/(-3))/(2/12). Suppose 3*i = -l + 16, 2*l + 3*i = i + g. Is l composite?
False
Suppose 4*h + 0*h = 12. Let v be 0/2*3/h. Suppose 3*x + x - 124 = v. Is x composite?
False
Let r be 3/(141/46 - 3). Suppose -v = -b + 2*v + 44, -4*v = -b + r. Is b composite?
True
Suppose -48 = 5*f + 3*s, 5*f + 44 = 2*s - 6*s. Let j = 70 + f. Is j a composite number?
True
Suppose z = -2*z - 3. Let t = z + -2. Let q = t - -9. Is q prime?
False
Suppose -t + 146 = -105. Is t prime?
True
Let r be (-2 - 0) + (10 - 3). Suppose -p + 4*s - 2251 = -6*p, -r*p - 3*s = -2252. Is p composite?
True
Let x(k) = -k**2 + 5*k + 2. Let v be x(5). Let b(i) = 3 + 3*i**3 + 7*i**3 - i - 4. Is b(v) a composite number?
True
Let o = -3 - -6. Let t = 1 - -2. Suppose 0 = o*w + 4*a - 14, -t*w + 3*a = -w - 15. Is w a composite number?
True
Let a be (2 - 6/4)*0. Let i(c) = c**2 + 178. Is i(a) composite?
True
Let q(d) = 30*d**2 + 5*d + 22. Is q(7) a composite number?
True
Let l be (-4)/(-8) + (-5)/(-2). Suppose -l*f + 25 = 2*f. Suppose -2*j - 4*c = -30, -4*c = -3*j - 0*c + f. Is j prime?
True
Let n(v) = v**3 + 15*v**2 + 14*v. Let y be n(-14). Suppose -t - 2*t + o - 24 = y, -3*o = 9. Let g = t + 12. Is g a composite number?
False
Let n(m) = m**2 - 8*m. Let q be n(8). Suppose 0*c - 3*c = 15, -3*w = -2*c - 79. Let s = w - q. Is s a prime number?
True
Is (157/2)/(6/12) composite?
False
Let q(c) = 80*c**3 - c**2 + 2*c + 1. Is q(2) prime?
True
Let w = -3 - -3. Suppose -c + 4*z - 3*z + 4 = w, 2*z - 1 = c. Let u(p) = 2*p + 3. Is u(c) composite?
True
Let p = 0 - 1. Let w = 2 - p. Suppose -110 = -5*t - w*i, 4*i = 3*i. Is t a composite number?
True
Is 5 + -1 + 38/2 prime?
True
Suppose 537 = 4*x - t - 348, 3*t - 439 = -2*x. Is x a prime number?
False
Suppose 0 = 4*g - g - 1329. Let f = -308 + g. Suppose 2*n - 3*r = f, -3*n - n - 5*r + 281 = 0. Is n composite?
True
Let p = 23409 + -6244. Is p a composite number?
True
Let n = -8 - 91. Let q = -65 - n. Is q composite?
True
Suppose -3*l = -5*l + 2. Suppose 2*u + 0 = -2. Is (-13 + (l - u))*-1 composite?
False
Let q be (-66)/(-4)*80/12. Suppose 445 = -5*l + 80. Let h = q + l. Is h a composite number?
False
Let b = -4 + 6. Suppose -5*h = 15, -b*v = -3*h - 13 - 2. Suppose 98 = -l + v*l. Is l composite?
True
Let y(l) = -l**3 + 9*l**2 + l + 10. Is y(8) composite?
True
Let a be 2/(-4) + 76/8. Suppose 0 = 2*w - 2*u + 10, 0*u - a = 3*u. Let f(q) = -q**2 - 12*q + 5. Is f(w) composite?
False
Let z(d) = -d**3 + 3*d**2 + 5*d + 1. Let s be z(4). Suppose 5*t + 123 = 5*h - 2*h, 196 = 4*h + 4*t. Suppose -9 = -s*b + h. Is b prime?
True
Let m = -1776 + 2969. Is m composite?
False
Suppose 2961 = 2*z + 7*z. Is z a prime number?
False
Let r(m) = 119*m**3. Let w be r(-1). Let i = w - 30. Let f = -64 - i. Is f a prime number?
False
Suppose -4*j + 8 = 4*f, 5*f - f = 0. Is (4/j)/(2/79) a prime number?
True
Suppose -2*p - 286 = -4*p. Is p a prime number?
False
Let s(c) = -9*c + 2. Let j be s(-10). Suppose 2*z + 2*z = j. Is z a prime number?
True
Let g = -1 + 3. Suppose 0 = -0*c + g*c - 4. Suppose -3*s - c*s = -785. Is s a prime number?
True
Let k(v) = -v**3 - 10*v**2 - 4*v - 17. Is k(-12) prime?
False
Let g be (-4)/(-22) - 279/(-99). Suppose g*c - 8*c = -1075. Is c a composite number?
True
Let o(w) = 89*w**2 - w - 7. Is o(3) composite?
True
Suppose 0 = 2*d - 0 - 6. Suppose 5*t - d = 12. Suppose -t*s + 445 = 2*s. Is s a prime number?
True
Is (52/10)/(4/10) a prime number?
True
Suppose -2*j = 2*s - 338, j - 5*s = -0*s + 169. Suppose 9*p - 65 = 4*p. Suppose 4*i + p = j. Is i a prime number?
False
Suppose -1 = 2*o - 5. Suppose 0 = o*w - 0*w - 298. Is w composite?
False
Suppose -3*a + 218 = 545. Is (3/(-1) - -2)*a prime?
True
Suppose 2*i = 565 + 219. Suppose -3*w - i = -s, -5*s + 1724 + 217 = 4*w. Is s a composite number?
False
Suppose c - 4*p = -c + 22, 3*p = -5*c + 3. Suppose -c*j + 26 = 4*q, 4*j = -q - 0*j + 13. Suppose q*f - 18 = 2*f. Is f prime?
False
Let k(w) = 3*w. Let q be k(1). Is q + -3 - (2 + -1381) composite?
True
Let o(l) = -l**3 + 4*l**2 + 2*l - 5. Let j be o(4). Let f = j - 1. Suppose -f*q + 68 = -0*q. Is q a composite number?
True
Let l(t) = 5*t**2 - 5. Let j(u) = 11*u**2 + u - 10. Let n(r) = 3*j(r) - 7*l(r). Let z be n(-7). Let q = z + 193. Is q a composite number?
False
Let d(t) = 2*t**2 - 2*t + 2. Let b(l) = -l**2 + 2*l + 2. Let q be b(-2). Is d(q) a prime number?
False
Suppose 6 + 1 = b. Suppose 0 = 2*f - 2*l + b*l - 39, 0 = 5*f - 5*l - 10. Is f a prime number?
True
Suppose 3*z = -z + 2*j + 60, -4*z + 60 = 2*j. Is z a composite number?
True
Suppose 4*z + 4*x - 6732 = 0, x + 8446 = 4*z + 1704. Is z a prime number?
False
Let x(i) = -i**3 + 9*i**2 - i + 5. Let o be x(9). Is (6/(-9))/(o/66) a prime number?
True
Suppose -3*x + 101 = -s + 36, x - 5 = -3*s. Let j = 105 + -63. Let n = j - x. Is n a prime number?
False
Is (0 + 1)*1 - -982 prime?
True
Let z = -1 + 6. Let r = z - 14. Is 2/r + (-1463)/(-63) a composite number?
False
Suppose -2*t + 5*t = 153. Is t prime?
False
Let z be (-1265)/(-7) - 4/(-14). Let i = z + -128. Is i a composite number?
False
Let c(z) = z**2 - 6*z + 5. Let a(k) = 2*k**2 - 12*k + 11. Let m(r) = 6*a(r) - 13*c(r). Let b(q) = -q + 1. Let j be b(-4). Is m(j) a composite number?
True
Let x(i) = i**2 - 6*i + 4. Let a be x(6). Is (a/(-6))/(2/(-57)) a composite number?
False
Suppose s = 4*j - 2*j - 5, -60 = 3*s + 3*j. Is 1 - (6/(-2) + s) composite?
False
Let b(m) = 14*m**2 - 4*m + 2. Let j be b(5). Suppose 5*r - 3*n - j = 0, -2*n + 203 = 3*r - 0*n. Suppose 130 = 5*x - y - r, 5*x = 3*y + 201. Is x prime?
False
Suppose 5*s + 146 = 2*c - 45, -s = 1. Is c a composite number?
True
Let b(v) = v**2. Let c(i) = -i**3 + 4*i**2 - 3*i - 1. Let r be c(3). Let y be b(r). Is (-2)/((4/(-22))/y) prime?
True
Let p = 4 - 1. Suppose 6*g + p*k - 171 = g, 95 = 3*g - 2*k. Is g composite?
True
Suppose -2*f + 45 = 5*d - f, -d + 9 = 4*f. Let m = -5 + d. Suppose m*y = y + 63. Is y a prime number?
False
Is 4*(14086/(-12))/(4/(-6)) a composite number?
False
Let p be 1 - 1 - (-1 - -1). Suppose 5*u = -2*r + 1341, p*r - 3*r + 810 = 3*u. Is u a composite number?
True
Suppose 4*z - 2*l = 1532, l - 1131 = -3*z - 2*l. Is z a composite number?
True
Suppose -7902 = -8*m - m. Is m a prime number?
False
Let u be 0 + 3 + 96 - 3. Let d = u - 38. Is d composite?
True
Let h be 0/3 - 4 - -666. Suppose -h = k - 3*k. Is k prime?
True
Let o be (-82)/(-8) + 3/(-12). Let k = -4 + 4. Suppose r = -3*b + o, 5*r - 5*b + b - 107 = k. Is r composite?
False
Suppose -9 + 39 = -5*n. Is n/4*124/(-6) a composite number?
False
Let d(i) = -i + 11. Let y = 3 + 5. Let g be d(y). Is 5 + (g/3 - 0) composite?
True
Suppose -8*j = -10*j + 6. Suppose 0 = 2*q - j*q + 4*v + 7, -4*q = -v - 13. Is q a prime number?
True
Suppose -2 = -3*o + 10. Suppose -2*l + o*l = 30. Is l a composite number?
True
Let j(q) = -65*q**3 + q**2 - q + 7. Is j(-3) composite?
True
Suppose -20 - 84 = -l. Suppose t - l = -3*t. Is t composite?
True
Is 4/(-1) - (-98 +
|
{
"pile_set_name": "DM Mathematics"
}
|
11691.95 centimeters to micrometers.
116919500
What is 0.834734 millennia in centuries?
8.34734
What is 27/4 of a centimeter in micrometers?
67500
What is 1/6 of a week in hours?
28
What is 13/5 of a meter in centimeters?
260
What is three tenths of a decade in years?
3
What is 81.3048um in centimeters?
0.00813048
What is 62569.73 kilograms in nanograms?
62569730000000000
Convert 9.624607 micrometers to kilometers.
0.000000009624607
Convert 41.9941l to millilitres.
41994.1
How many milligrams are there in eighteen fifths of a gram?
3600
What is 61809.71 litres in millilitres?
61809710
How many months are there in 456716.4 centuries?
548059680
What is 13.20491ng in tonnes?
0.00000000000001320491
What is one tenth of a millennium in years?
100
How many hours are there in 25.911414s?
0.007197615
How many micrometers are there in 7468.53m?
7468530000
What is one quarter of a decade in months?
30
How many milligrams are there in 48/5 of a gram?
9600
What is 3/40 of a centimeter in micrometers?
750
Convert 389.9868 months to centuries.
0.324989
How many months are there in 0.776164 centuries?
931.3968
How many kilograms are there in eleven halves of a tonne?
5500
Convert 0.6045608 millimeters to centimeters.
0.06045608
How many months are there in three fifths of a decade?
72
How many millimeters are there in 29.54939 meters?
29549.39
How many micrometers are there in 0.7225547cm?
7225.547
What is 3/8 of a litre in millilitres?
375
How many micrograms are there in 8475.345g?
8475345000
What is seven halves of a millennium in centuries?
35
What is fifteen quarters of a litre in millilitres?
3750
What is 387.2562 microseconds in minutes?
0.00000645427
How many milliseconds are there in 768.3936 hours?
2766216960
Convert 8522.727ml to litres.
8.522727
How many nanograms are there in 26/5 of a microgram?
5200
What is 1/64 of a meter in micrometers?
15625
How many grams are there in one quarter of a kilogram?
250
What is two ninths of a hour in seconds?
800
How many minutes are there in three sixteenths of a week?
1890
What is 8.850387g in milligrams?
8850.387
What is 29/2 of a microgram in nanograms?
14500
What is 59/5 of a centimeter in millimeters?
118
How many nanograms are there in one quarter of a microgram?
250
How many centimeters are there in 5121.903nm?
0.0005121903
How many minutes are there in 28/3 of a week?
94080
Convert 90.73649 millilitres to litres.
0.09073649
How many kilograms are there in seventy-three fifths of a tonne?
14600
How many millilitres are there in 18/5 of a litre?
3600
Convert 3699.291 centimeters to kilometers.
0.03699291
What is 8.294803s in nanoseconds?
8294803000
Convert 804.889mm to nanometers.
804889000
What is 5/4 of a milligram in micrograms?
1250
How many millilitres are there in 0.5610409l?
561.0409
What is twenty-nine halves of a day in minutes?
20880
Convert 296464.05 nanoseconds to hours.
0.000000082351125
How many micrograms are there in one sixteenth of a gram?
62500
What is 3/50 of a week in seconds?
36288
How many kilograms are there in 54/5 of a tonne?
10800
What is nine tenths of a centimeter in millimeters?
9
Convert 20364.23 centuries to millennia.
2036.423
What is 3995.681 days in milliseconds?
345226838400
What is thirteen fifths of a litre in millilitres?
2600
How many seconds are there in seven halves of a minute?
210
Convert 62.75387cm to nanometers.
627538700
What is 19.08756l in millilitres?
19087.56
How many centimeters are there in 0.707759km?
70775.9
What is 608.7251ml in litres?
0.6087251
How many centuries are there in 0.3924509 years?
0.003924509
Convert 0.49941kg to nanograms.
499410000000
How many litres are there in 80.87635ml?
0.08087635
How many micrograms are there in 8020.692mg?
8020692
What is 0.4771114 microseconds in nanoseconds?
477.1114
Convert 4431.96 micrometers to millimeters.
4.43196
Convert 105.0253ng to tonnes.
0.0000000000001050253
What is 39422.6 micrometers in centimeters?
3.94226
How many decades are there in 13/5 of a millennium?
260
How many centuries are there in 7767.51 months?
6.472925
How many days are there in 10/7 of a week?
10
What is 0.3132298um in kilometers?
0.0000000003132298
How many kilograms are there in 591592.5t?
591592500
How many grams are there in 25/4 of a kilogram?
6250
What is 21/8 of a meter in millimeters?
2625
How many millimeters are there in 31/5 of a centimeter?
62
What is 949.0125 weeks in days?
6643.0875
Convert 8.912534mm to centimeters.
0.8912534
How many years are there in 34/5 of a century?
680
How many millimeters are there in twenty-one eighths of a meter?
2625
Convert 959134.6 centimeters to meters.
9591.346
How many centimeters are there in 49/5 of a meter?
980
What is 0.401553 millilitres in litres?
0.000401553
How many seconds are there in 1/9 of a day?
9600
How many millilitres are there in 0.0093587 litres?
9.3587
How many nanometers are there in 17/4 of a micrometer?
4250
Convert 500.1149 weeks to milliseconds.
302469491520
Convert 0.4841303 weeks to milliseconds.
292802005.44
How many millilitres are there in 777788.6 litres?
777788600
What is 4.38262l in millilitres?
4382.62
How many grams are there in 0.2852596 tonnes?
285259.6
What is 91175.2 meters in nanometers?
91175200000000
How many litres are there in 833237.1 millilitres?
833.2371
What is 4.996487 hours in microseconds?
17987353200
What is 293252.8 centuries in months?
351903360
How many years are there in 3/50 of a century?
6
How many millilitres are there in 0.3825161 litres?
382.5161
What is 19762.077 months in decades?
164.683975
How many months are there in seven halves of a millennium?
42000
Convert 650393.226ms to weeks.
0.001075385625
How many seconds are there in 404287.2 weeks?
244512898560
How many milligrams are there in one tenth of a kilogram?
100000
How many decades are there in 1/5 of a century?
2
What is 152.5392t in nanograms?
152539200000000000
What is one twentieth of a litre in millilitres?
50
Convert 183.1265 years to months.
2197.518
How many litres are there in 622343.3ml?
622.3433
How many millimeters are there in 29024.25nm?
0.02902425
How many kilometers are there in 196765.7 millimeters?
0.1967657
What is seven halves of a gram in milligrams?
3500
What is 3/10 of a gram in milligrams?
300
How many nanoseconds are there in six fifths of a microsecond?
1200
How many nanograms are there in twenty-nine halves of a microgram?
14500
How many millilitres are there in 11/4 of a litre?
2750
What is 5/4 of a litre in millilitres?
1250
How many litres are there in 0.5963614ml?
0.0005963614
What is seven quarters of a microgram in nanograms?
1750
How many millilitres are there in six fifths of a litre?
1200
How many grams are there in 6248.547 milligrams?
6.248547
How many nanometers are there in 19/4 of a micrometer?
4750
How many centimeters are there in 0.565983nm?
0.0000000565983
What is 816402.9 millilitres in litres?
816.4029
What is 4102.314 months in centuries?
3.418595
What is 21/5 of a litre in millilitres?
4200
How many millilitres are there in 13/5 of a litre?
2600
How many years are there in 3/5 of a millennium?
600
Convert 0.7678413mg to nanograms.
767841.3
How many centuries are there in thirty-seven halves of a millennium?
185
What is 5.823584 years in centuries?
0.05823584
How many meters are there in 75310.51mm?
75.31051
What is 552.9021 litres in millilitres?
552902.1
Convert 18347.96um to kilometers.
0.00001834796
What is 1/4 of a minute in milliseconds?
15000
What is five quarters of a kilogram in grams?
1250
What is 1/36 of a day in seconds?
2400
Convert 279351.5um to nanometers.
279351500
What is thirteen quarters of a milligram in micrograms?
3250
What is fifty-five halves of a century in decades?
275
How many seconds are there in 1/24 of a week?
25200
What is 3/40 of a litre in millilitres?
75
Convert 587709.2 litres to millilitres.
587709200
How many seconds are there in 1/45 of a week?
13440
What is 7.565349 millilitres in litres?
0.007565349
How many seconds are there in 46/5 of a hour?
33120
What is eleven halves of a meter in millimeters?
5500
How many millilitres are there in three fifths of a litre?
600
What is 7529.572 nanometers in micrometers?
7.529572
How many centuries are there in 37/5 of a millennium?
7
|
{
"pile_set_name": "DM Mathematics"
}
|
for r.
-22
Solve 35*b = -7224 + 6664 for b.
-16
Solve 6*b - 369 = -0*b - 9*b + 6*b for b.
41
Solve 9*f = 437*f - 5494 - 39740 - 16398 for f.
144
Solve -180 = -102*c + 593 + 3523 + 702 for c.
49
Solve -1227*j - 1167*j = -296856 for j.
124
Solve 651 - 1962 = 80*t + 3169 for t.
-56
Solve 0 = 263483*g - 263323*g - 6720 for g.
42
Solve -684*f = -821*f + 685 for f.
5
Solve -14*j = -137373 + 136953 for j.
30
Solve 2980 = 37*u + 164*u - 323*u - 1534 for u.
-37
Solve 210748*a = 211086*a + 5746 for a.
-17
Solve 78*x - 37*x - 2070 = -4*x for x.
46
Solve -225*s + 53 = 1628 for s.
-7
Solve -37*v - 10051 = -13936 for v.
105
Solve -8131*a - 3384 = -141611 for a.
17
Solve -38367*b - 27716 = -39043*b for b.
41
Solve 657*c + 1085*c + 56129 = 225*c for c.
-37
Solve -1002*m - 50*m = 3892*m + 168096 for m.
-34
Solve -984*y - 21461 - 25530 = -25*y for y.
-49
Solve 0 = 292*a - 6946 - 3858 for a.
37
Solve 37491*o - 37279*o = -7844 for o.
-37
Solve -38*k - 142*k + 27864 = 144*k for k.
86
Solve -227*t + 13540 - 52736 = -705*t for t.
82
Solve -280*q + 72*q + 62*q + 11096 = 0 for q.
76
Solve -19*h = -382*h + 3034 + 1322 for h.
12
Solve 2536*c + 174364 + 248880 = -3033*c for c.
-76
Solve -1678*p - 5388 = -354 for p.
-3
Solve -875*n + 8242 - 26273 - 30969 = 0 for n.
-56
Solve 4353*p - 6049*p = 55968 for p.
-33
Solve 40*y + 26145 = 80*y - 787*y for y.
-35
Solve 2300*t + 39281 = -15919 for t.
-24
Solve -485*r - 131*r + 24019 + 14768 = -637 for r.
64
Solve 32160 = -507*o - 417*o - 416*o for o.
-24
Solve -17797 + 16558 = 413*r for r.
-3
Solve -6891 = 94*i - 2391*i for i.
3
Solve -8*z + 157 - 769 = 4*z + 5*z for z.
-36
Solve -2431*w + 5957 = -2592*w for w.
-37
Solve -150885 = -3*q - 150921 for q.
-12
Solve 1481*t + 2068*t + 372*t - 23388 = 31506 for t.
14
Solve -760 = -600*f - 4259 - 13301 for f.
-28
Solve -1094*t - 211*t + 12*t + 202266 = 690*t for t.
102
Solve 40704 + 20762 + 51278 = -1658*y for y.
-68
Solve -19*g - 211*g + 1338*g = 14404 for g.
13
Solve -6341 = 1062*s - 52007 for s.
43
Solve 5876272*l - 5876358*l + 860 = 0 for l.
10
Solve -23 - 46 - 407 = 25*r + 249 for r.
-29
Solve 4*z = -11*z - 9*z + 3*z - 483 for z.
-23
Solve 818 - 1738 - 2536 = -50*r - 556 for r.
58
Solve 0 = -324*k - 988*k - 3541*k + 402799 for k.
83
Solve 26648 - 2450 = 1463*j - 7988 for j.
22
Solve 1454*f = -95579 - 9109 for f.
-72
Solve 0 = -316*f + 27*f - 494*f + 22*f - 59358 for f.
-78
Solve 1758*v - 7516 = 7858*v + 4684 for v.
-2
Solve 447*d + 445*d - 218 = 895*d - 65 for d.
-51
Solve -99*l = 157*l - 3598 + 270 for l.
13
Solve 347*u + 219*u = 15848 for u.
28
Solve 604*y - 153*y + 8569 = 0 for y.
-19
Solve 208 = 7*c + 8*c + 196 - 573 for c.
39
Solve 799*h = 3512*h - 328273 for h.
121
Solve 551*c - 7319 - 4877 = 1985 + 145 for c.
26
Solve 509*k = 2499 + 31095 for k.
66
Solve 158*p + 684 = -795 + 127 - 860 for p.
-14
Solve -17195*t + 76270 = -15880*t for t.
58
Solve 1652*g = 9522*g - 747650 for g.
95
Solve -1609939 = -93*h - 1611706 for h.
-19
Solve 26657 - 19487 = -239*y for y.
-30
Solve 1772*l + 26114 + 70365 + 22323 = -14098 for l.
-75
Solve 0 = 3912*k - 3816*k + 799 + 545 for k.
-14
Solve 3445*c = 1713*c + 1686*c + 46 for c.
1
Solve 395*z - 111332 = -476*z + 118*z - 1388*z for z.
52
Solve -491*p - 1373 = 1166 + 1880 for p.
-9
Solve 289*x + 454*x - 377*x + 8784 = 0 for x.
-24
Solve -57*t - 774704 + 776870 = 0 for t.
38
Solve -1464*c - 1862*c = 762*c + 216664 for c.
-53
Solve -957 - 517 = -34*n - 148 for n.
39
Solve 195*l - 3952*l + 184093 = 0 for l.
49
Solve -21*n + 45171 = 45276 for n.
-5
Solve -199*p - 4969*p = 558144 for p.
-108
Solve -372*k - 72*k + 1600 = -124*k for k.
5
Solve 359*j - 8 - 6775 = 3392 + 1313 for j.
32
Solve -196*c + 47 = 22 + 25 for c.
0
Solve -145*v + 767 - 2072 = 0 for v.
-9
Solve 390*c + 267*c = 28908 for c.
44
Solve 2575784 = -36*s + 2577476 for s.
47
Solve 1062*a - 156*a = 31710 for a.
35
Solve -154*z - 2682 - 2582 = 588 for z.
-38
Solve 11370 - 20063 = -522*w + 23671 for w.
62
Solve -16533*r = -16740*r + 8280 for r.
40
Solve 5016*j + 18545 = 1307*j for j.
-5
Solve -747*d + 2288*d + 1560*d = 65969 + 138697 for d.
66
Solve 390*j + 1191 + 616 = -4703 + 270 for j.
-16
Solve 0 = 105*a + 23*a - 204712 + 198696 for a.
47
Solve -238*c + 183*c = -627*c - 219*c - 29267 for c.
-37
Solve 0*a + 3*a = -0*a + 69 for a.
23
Solve 199*i - 1299*i - 1455*i = 1012*i + 128412 for i.
-36
Solve -354*x - 334*x + 577*x = 2664 for x.
-24
Solve 31154 - 50344 - 52090 = 1821*y + 50727 for y.
-67
Solve -200*z - 1174*z = -32488 - 32090 for z.
47
Solve 11057*h + 4977 = 11120*h for h.
79
Solve 141802 - 139218 = -68*j for j.
-38
Solve -5612*s = -1083*s + 240037 for s.
-53
Solve -1277*l - 530*l - 1201 - 141552 = 0 for l.
-79
Solve -3051*z + 922*z + 28462 + 68649 = -39145 for z.
64
Solve -471161 = 62*g - 469611 for g.
-25
Solve 0 = -466*g + 416*g + 900 for g.
18
Solve 434889*f = 435055*f + 12450 for f.
-75
Solve 3743*p - 10*p - 315439 = 67*p - 91813 for p.
61
Solve -116*h - 474 = -3342 - 4324 for h.
62
Solve 74*i - 666 = -561*i + 3200 - 691 for i.
5
Solve -537*j + 33253 = -110*j + 231*j - 2279 for j.
54
Solve 18394*f + 4240 = 18818*f for f.
10
Solve -1079*m + 53789 - 102688 = 65475 for m.
-106
Solve -5321*y + 89616 = 13820*y + 215845 + 275732 for y.
-21
Solve 1704*o + 2104*o = -255477 + 99349 for o.
-41
Solve -237*x = -43*x + 307*x + 173*x + 9436 for x.
-14
Solve -7172 - 672 = 166*k + 4542 + 9028 for k.
-129
Solve 57*d + d + 21*d - 1720 = -377 for d.
17
Solve 3163*x + 1658*x + 6915*x + 927144 = 0 for x.
-79
Solve -299*p - p + 6840 + 295 = -9965 for p.
57
Solve 4803*t - 131500 = 334391 for t.
97
Solve -23099*y - 87368 - 232320 = 469616 + 19161 for y.
-35
Solve 80*s = 416953 - 413433 for s.
44
Solve -10162 + 5965 = -37*c - 5455 for c.
-34
Solve 97*h - 4181 + 688 = 387 for h.
40
Solve 2869 - 14476 = 88*z + 131*z for z.
-53
Solve -18043 + 35256 + 26642 = 1253*c for c.
35
Solve 394*q + 77*q = 286 + 135 + 50 for q.
1
Solve 298*s - 133*s - 2551 + 8491 = 0 for s.
-36
Solve -25900*h + 3357*h + 1473764 + 645278 = 0 for h.
94
Solve 2333*f + 100179 = 18524 for f.
-35
Solve 27*a + 326 - 1018 - 154 = 423 for a.
47
Solve -13419 = -173*l - 324*l for l.
27
Solve -1555*c = -2555*c - 2280*c - 114800 for c.
-35
Solve 25920 = 53*y + 113*y + 74*y for y.
108
Solve 1403*n + 26832 + 19144 = 42*n + 5146 for n.
-30
Solve 38*l + 9330 = 3944 + 3524 for l.
-49
Solve 439*x + 1453 - 9452 + 975 = 0 for x.
16
Solve -4525 = -195*b + 4334 - 4357 + 4858 for b.
48
Solve -535*h + 30064 = 368*h + 222*h + 754*h for h.
16
Solve -193*x + 61325 = -343*x - 965*x for x.
-55
Solve 896 = -133*y - 751 - 1678 for y.
-25
Solve -427*x = 274*x - 18226 for x.
26
Solve 13137*d + 3848 = 13063*d for d.
-52
Solve -291*k + 168*k - 43279 = 699*k - 12043 for k.
-38
Solve 66*v - 1344 = 145*v - 47*v for v.
-42
Solve 0 = -2064*u - 724*u - 8364 for u.
-3
Solve -13*f = 4364960 - 4365597 for f.
49
Solve 28*k = 1913 + 4519 - 9120 for k.
-96
Solve 347*m + 8323 - 5939 = 27021 for m.
71
Solve 0 = 414*u - 2021 - 1291 for u.
8
Solve 30583 = -1171*j + 93817 for j.
54
Solve -1537*q = -1867*q + 2970 for q.
9
Solve -2038*c + 7322*c + 2108*c + 657888 = 0 for c.
-89
Solve -348*a - 498*a + 5088 + 4720 = 380*a for a.
8
Solve 2251*d = 45617 - 234701 for d.
-84
Solve -1508 = -158*g + 517*g + 646 for g.
-6
Solve -55*i + 418*i + 8194 = -119*i for i.
-17
Solve -415*x - 8658214 + 8686849 = 0 for x.
69
Solve 0 = 288468*y - 288781*y + 8138 for y.
26
Solve 6630*q + 6509*q - 4940 = 13329*q for q.
-26
Solve -7899 + 1379 = -141*k + 3*k + 518 for k.
51
Solve 1635 = -742*f - 916*f + 23*f for f.
-1
Solve -1087*l = 2406*l + 118762 for l.
-34
Solve -27*b + 315237 - 316224 = 20*b for b.
-21
Solve -31689*r = -32213*r - 2620 for r.
-5
Solve -40*o + 2651 = 811 for o.
46
Solve 2458 + 5326 + 287 = 157*n + 1163 for n.
44
Solve -3755 - 554 = -54*q + 173 for q.
83
Solve -42*p - 4098 - 3674 = 39*p + 53*p for p.
-58
Solve 12876*s + 774 - 8418 = 12798*s for s.
98
Solve -819 - 23205 = 3961*x - 95322 for x.
18
Solve 11487946 = -70*m + 11483326 for m.
-66
Solve -1327*q = 8768 + 21753 for q.
-23
Solve 166*w - 7667 = -21*w for w.
41
Solve -329 + 4543 = 19*l - 18*l + 97*l for l.
43
Solve 4747*l - 81663 - 1183 = 70639 + 159817 for l.
66
Solve -2004 - 459 = 681*g - 781*g - 163 for g.
23
Solve -94*s + 624*s - 111478 =
|
{
"pile_set_name": "DM Mathematics"
}
|
t w = -88285749417859 + 88285765991014.0000044. Let b = -16573158 + w. Let o = b + 3. Round o to 6 dps.
0.000004
Let r = 4.4839 + -195.6379. Let l = r + 0.154. Let a = 190.891 + l. Round a to 2 dps.
-0.11
Let p = 0.8 - 8.9. Let q = -8.53 - p. Let t = q + 0.03. What is t rounded to the nearest integer?
0
Let m = 0.0595 - 36.3595. Round m to 0 dps.
-36
Let s = 6 + -6.02. Let g = s - -0.0199965. Round g to six dps.
-0.000004
Let r = 0.0100144 - 0.01. Round r to six dps.
0.000014
Let r = 26.5 + -28.901. Let h = -2.2189 - r. Let k = h + -0.173. What is k rounded to 3 dps?
0.009
Let s = 140.0059 - 140. What is s rounded to 3 decimal places?
0.006
Let j(i) = 262*i**2 + 4*i - 8. Let t be j(4). What is t rounded to the nearest 1000?
4000
Let p = -28 + 15. Let y = p - -13.00062. Round y to four dps.
0.0006
Suppose 0 = 3*n - 3650 + 563. Let k = n + 8477. Suppose -3815 = 2*b - 5*d, 5*b - d = d - k. Round b to the nearest 1000.
-2000
Let l be (-72)/(-10)*(-23620)/8. Let f = -258 - l. Round f to the nearest 10000.
20000
Let w = -2 - -1.988. Let v = 0.034 - w. What is v rounded to 2 dps?
0.05
Let z be (-2 - 0)*(-2 - -5580). Let b = -3556 - z. What is b rounded to the nearest 1000?
8000
Let x = 1.20000079 - 1.2. Round x to 6 decimal places.
0.000001
Let b = 0.132 + 0.021. Round b to two dps.
0.15
Let u = -0.1 - -0.1. Let r = 0.0688 - 0.07. Let j = r + u. Round j to 3 decimal places.
-0.001
Let s = 225 + -865. What is s rounded to the nearest one hundred?
-600
Suppose 3*q + 914 = 2*u, -1844 = -4*u - 0*q - 2*q. What is u rounded to the nearest 100?
500
Let z = 246 - 246.111. What is z rounded to 2 dps?
-0.11
Let g = -1.50049 - -1.5. What is g rounded to 4 decimal places?
-0.0005
Suppose 2*t = -t - 5640. Let s = -18356 + 31636. Let d = s + t. Round d to the nearest 1000.
11000
Let l(h) be the second derivative of -5*h**2 + 0 + 5/6*h**3 - 5/12*h**4 + h. Let g be l(-7). What is g rounded to the nearest one hundred?
-300
Let n = 3 + -3.2. Let h = n + 0.20008. Round h to five dps.
0.00008
Let t = 59.50194 + -0.62494. Let r = t + -59. Let w = -0.122939 - r. What is w rounded to 5 dps?
0.00006
Let d = 180411 + -62345. Suppose d + 103934 = 3*x. Round x to the nearest 10000.
70000
Let k = 12.99973 - 13. What is k rounded to 4 decimal places?
-0.0003
Let m = 2214 - -3086. What is m rounded to the nearest one thousand?
5000
Let c = 22811007.7999979 + -22811004. Let g = c - 3.8. What is g rounded to 6 dps?
-0.000002
Let f = -427 + 1047. What is f rounded to the nearest one hundred?
600
Let j = -10 - -217. Suppose -925 = -2*x - j. Let w = 589 - x. Round w to the nearest 100.
200
Let v = -67 + 28. Let w = -51.28 - -7.58. Let t = v - w. Round t to the nearest integer.
5
Let w = 10 - 9.9996. Round w to three decimal places.
0
Let r = 2.98 + -3.7. Let j = -701521 - -701521.720058. Let w = j + r. Round w to 5 decimal places.
0.00006
Let p = -11 + 13. Suppose p*w + 2*w = 32800. What is w rounded to the nearest one thousand?
8000
Let q(w) = -3600002*w + 9. Let m be q(5). Let z be (-4)/8 - m/2. Round z to the nearest one million.
9000000
Suppose 2*q - 6*q + 3*l = 36, -3*q + 3*l = 30. Let s(k) = -55557*k**2 - 8*k + 4. Let d be s(q). What is d rounded to the nearest 1000000?
-2000000
Suppose 0*a = 2*a - 3*d + 1800006, -8 = -4*d. Round a to the nearest one million.
-1000000
Let g = 9 - 6. Suppose 0*p + 2*p + t - 40 = 0, -3*p - g*t = -66. What is p rounded to the nearest 10?
20
Suppose t = 5*t - 24. Suppose 2*f + t = 18. Let h be 1125/(-3)*(-3200)/f. Round h to the nearest one million.
0
Let w = -41 - -44.05. Let t = w - 0.05. Let o = -2.99999926 + t. Round o to seven dps.
0.0000007
Suppose -5*h + 4*s + 5 = 0, 0*s = -4*s + 20. Suppose 3*m = 6*m - 12. Suppose 0 = h*c - 10*c, -2760 = -m*i + 5*c. What is i rounded to the nearest 100?
700
Let l = -605 + 255. Let w = 349.9793 + l. Round w to 3 decimal places.
-0.021
Let c = -8390129 - -8390142.000007. Let f = -0.2 - 12.8. Let b = c + f. What is b rounded to 6 dps?
0.000007
Suppose -5*v + 3*v + 24 = 0. Let g = v - -26. Suppose m - 2 = g. Round m to the nearest 100.
0
Let k = 15.96 + -16. Let z = k - 0.19. Round z to two dps.
-0.23
Let t = 19 - 20. Let r be 0 + (t - -3) + 3399998. Round r to the nearest 1000000.
3000000
Let i = -6 + -4.6. Let n = i + 9.83. Let s = n + 0.76999918. Round s to seven decimal places.
-0.0000008
Let d = -3279968 + 964981. Let s = 3378483 + d. Let m = -2263496 + s. Round m to the nearest 100000.
-1200000
Let g = 1345.83 - 1339. Let o = -7.7 + g. Round o to 1 dp.
-0.9
Let o = 6815.786 + -6797.7860052. Let j = -4.2 + -13.8. Let z = j + o. Round z to six dps.
-0.000005
Suppose 0 = -4*b - 5191544 + 911544. What is b rounded to the nearest 100000?
-1100000
Let d = -32.1 - -27. Round d to the nearest integer.
-5
Let t = -26.929 + 26.8. Let f = 16.771 - t. What is f rounded to 0 decimal places?
17
Let j(k) = 486*k**2 + 2*k. Let d be j(-2). Suppose 4*o = 5*m + d, -1003 = -3*o - 2*m + 429. Round o to the nearest 100.
500
Let n = -144.99813 - -145. Round n to four dps.
0.0019
Let k = -180.00123 + 180. Round k to four dps.
-0.0012
Let b(z) = -z**2 - 5*z + 8. Let a be b(-6). Let m be 17/(-1)*(-8422)/2. Suppose -a*l - 158413 = m. Round l to the nearest ten thousand.
-120000
Let l be (-2)/(-6) - (-25920006)/(-18). Round l to the nearest one hundred thousand.
-1400000
Let p(y) = 56*y - 3. Let a(s) = -s - 1. Let h(m) = 6*a(m) - p(m). Let w be h(-4). Let g = -485 + w. Round g to the nearest one hundred.
-200
Let u(f) = f - 1170000. Let v be u(0). What is v rounded to the nearest one hundred thousand?
-1200000
Let o = 330 - 231. Let v be (-2460)/(o/(-30) - -3). Round v to the nearest one thousand.
8000
Let a = -0.68 - -0.08. Let k = a - -0.5. What is k rounded to one dp?
-0.1
Let s = 107 + -106.846. Round s to 2 dps.
0.15
Let j be (-1)/(-3) - (-4894252)/6. Let i = -75709 + j. What is i rounded to the nearest 100000?
700000
Let m = -31.91 + 31. Round m to one dp.
-0.9
Let j = -3.7 + 2. Let s = j - 0.3. Let b = -2.5 - s. What is b rounded to the nearest integer?
-1
Let t(s) = 1. Let k(n) = 890*n**2 - 3*n + 1. Let g(i) = -k(i) + 2*t(i). Let m be (2 - 8)/(3 - 5). Let l be g(m). What is l rounded to the nearest ten thousand?
-10000
Let p(n) = 9*n + 2*n + 12*n**2 - n**3 - 6 - 3*n**2. Let v be p(10). What is v rounded to the nearest integer?
4
Let x = -8 + 14. Let p = x + -6.2. Let w = 0.162 + p. What is w rounded to 2 dps?
-0.04
Let s(x) = -20*x + 14*x + 11*x + 1285*x**2. Let q be s(7). Round q to the nearest 10000.
60000
Let k(t) = 34*t**2 + 3*t. Let o be k(-2). Suppose -n - o = 20. Round n to the nearest one hundred.
-200
Let w = 46862381.00177 - 46862619. Let j = -238 - w. Round j to 4 dps.
-0.0018
Let j = -46 + 45.866. Let y = j - -2.254. Round y to one dp.
2.1
Let j = -90 - -89.9768. What is j rounded to two decimal places?
-0.02
Let c = 0.048 - 5.248. Let l = c - -1.4. What is l rounded to zero dps?
-4
Suppose -2*k + 8 + 4 = 0. Let t = k + -3. Suppose 2*n = -t*b - 2316, 4*b + 4*n = 5*b + 758. Round b to the nearest 100.
-800
Let q = -18 - -10. Let d be 5/10 + (-15)/6. Let j be ((-6)/q)/(d/8). What is j rounded to the nearest 10?
0
Let i = -236.56344133 + 247.3634409. Let m = 10.921 + -0.121. Let y = m - i. What is y rounded to 7 dps?
0.0000004
Let l = -204 + 203.99867. Round l to 3 decimal places.
-0.001
Let b = 72 - 67.9. Let f = b - 4.1000054. Round f to six decimal places.
-0.000005
Let y = -565 + 566.343. Let c = 1.3 - y. Let l = -0.273 - c. Round l to one decimal place.
-0.2
Let k = 3.7 + -5.91. Let b = 2.7 + k. Let w = b - 0.48874. What is w rounded to 4 decimal places?
0.0013
Let l = 4.9 + -30.9. Let a = l + 26.000021. Round a to 5 decimal places.
0.00002
Let k = 873.1042 + -873. Let s = k + -2.1062. Let a = -2 - s. What is a rounded to two decimal places?
0
Let g = -62 - -34. Round g to the nearest 10.
-30
Let w(k) = 81*k**3 - 20*k**2 + 8*k - 5. Let l be w(-15). What is l rounded to the nearest 10000?
-280000
Suppose 5*a - 857110 = 4*z, z - 125933 = -a + 45480. Let l = 72418 - a. What is l rounded to the nearest 10000?
-100000
Let x = -162.32 + 165. What is x rounded to the nearest integer?
3
Suppose 0 = -n - 3963 + 13960. Suppose k = 2*s - n, -5*s = k + k - 25006. Round s to the nearest ten thousand.
10000
Suppose 3*y -
|
{
"pile_set_name": "DM Mathematics"
}
|
4 + 2*p**2 - 4).
-54*p**3
Expand (4*j**5 - j**5 + 0*j**5)*(1 + 2 + 1).
12*j**5
Expand (-v**3 + 2*v**3 - 2*v**3)*(3*v**2 + 5*v**2 + 5*v**2) + 1 - 2*v**5 - 1 + (-5*v + 2*v**3 + 5*v)*(v**2 - 2*v**2 - v**2).
-19*v**5
Expand -3*b**2 + 2*b**2 + 8*b**2 + 2*b**2 - 2 + 2 + (-3*b - 3*b + 7*b)*(2*b + 5 - 5).
11*b**2
Expand ((-w**2 - 2 + 2)*(-14 + 14 + 5*w**2) + 4*w**4 - 5*w**4 + 2*w**4)*(-1 + 1 + 2*w).
-8*w**5
Expand (-2*a + 2*a + 3*a)*(-3 - 2 + 0).
-15*a
Expand (3*z + z - 3*z)*(-20*z + 41*z - 12*z).
9*z**2
Expand (-2*p + p**2 + 2*p)*(0*p + 3*p - 5*p)*(-p**2 - 4*p**2 - 25*p**2).
60*p**5
Expand (-v**2 - 2*v**2 + 5*v**2)*(-2*v + 2*v + 2*v**2) + 2*v**4 + 2*v - 2*v - 13*v**3 - 2*v**4 + 13*v**3.
4*v**4
Expand (34 - 34 - 11*o)*((4 + 1 - 3)*(3*o + 0*o - 5*o) + (4*o - o - 2*o)*(4 + 2 - 4)).
22*o**2
Expand (-v**3 + 0 + 0)*(v**2 + 0*v**2 - 3*v**2) + 0*v**5 + 2*v**5 - 3*v**5 + (-6 - 9*v**2 + 6)*(v - 2*v**3 + 6*v**2 - 6*v**2).
19*v**5 - 9*v**3
Expand (-2*b**3 - 2 + 2 + (4*b - 2*b - b)*(b**2 + 3*b**2 - 6*b**2))*(5*b**2 - b**2 - 3*b**2).
-4*b**5
Expand -3*q**2 + 2*q**4 + 3*q**2 + (0*q**3 - q**3 + 0*q**3)*(-3*q + 2*q + 0*q).
3*q**4
Expand (4*t**2 - 17*t**2 - 13*t**2)*(2 + 1 - 1 + 2*t).
-52*t**3 - 52*t**2
Expand (3*q**3 - 3*q**3 + 3*q**4)*(5*q - q - 3*q - q + 0*q + 0*q + (-q + 0 + 0)*(-3 - 1 + 2) - 2*q + 0*q + q + 0 + 2*q + 0).
9*q**5
Expand m**5 - 3*m**5 + 3*m**5 + (-3*m + 3*m - m**2)*(3*m**3 + 4*m**2 - 4*m**2)*(5 - 2 - 6).
10*m**5
Expand (-2*o**2 - 3*o**2 + 6*o**2)*(-o**2 + 0 + 0) + 4*o**2 - 4*o**2 - 6*o**4.
-7*o**4
Expand (-9 - 4 - 4)*(-d - d + 0*d + 1).
34*d - 17
Expand (-4 - v + 6*v + 2)*(0*v - 4*v + 5*v).
5*v**2 - 2*v
Expand (-4*y + 8*y**2 + 3 - 6*y**2 + 2*y)*(-2*y + 5*y - 2*y).
2*y**3 - 2*y**2 + 3*y
Expand 13*i + 31 - 31 + (-4*i + 3*i + 3*i)*(-2 + 2 + 2) + i - 2*i + 3*i + 1 + i - 1.
20*i
Expand (-2*z + 0*z + z)*(3 - 4 - 1)*(0*z**3 + z**3 - 3*z**3).
-4*z**4
Expand (3*d**4 + d**4 - 6*d**4)*(0*d + 6*d + d).
-14*d**5
Expand (9*l**2 - 4*l + 4*l)*(2*l**2 - 11*l**2 - 2*l**2).
-99*l**4
Expand ((-2*q - 3*q + q)*(-1 + 1 - q**3) + q**4 - 3 + 3)*(-5 + 8 + 9 + (3 + 2 - 4)*(-2 + 0 + 0) + 3 + 2 - 6).
45*q**4
Expand 29*m**3 + 54*m**4 - 29*m**3 + 0*m**4 + 2*m**4 - 3*m**4 + (-3*m + 4*m + m)*(-m + m**3 + m).
55*m**4
Expand (-i - 2*i**2 + i)*((-3*i + 3*i - 2*i)*(3*i**2 - 2*i**2 + 0*i**2) - 56*i**2 + 9*i**3 + 56*i**2).
-14*i**5
Expand (22 - 38*g + 19 - 40)*(-3*g**4 - g**4 + g**4).
114*g**5 - 3*g**4
Expand (g - g + 2*g**3 + (-2*g - 2*g + 6*g)*(g**2 + g**2 - g**2))*(2 - 2 - 4*g).
-16*g**4
Expand (1 - 1 - 2*h + (0 - 1 + 0)*(4 - 4 + h) - 3*h + 2 - 2)*(-6*h + 3*h + h + (-3 + 0 + 0)*(h + 2*h - 5*h) + 3*h + 3*h - 5*h).
-30*h**2
Expand (-2 - 3 + 4)*((-3 + 5 - 1)*(0 - 1 - 1) - 2 + 2 + 1)*(o - 2*o + 3*o).
2*o
Expand 50*f**2 + 2 - 55*f**2 - 4 + (3*f**2 - 3 + 3)*(2 + 1 - 5).
-11*f**2 - 2
Expand (-4 + 3 - 2)*(5*b - 5*b - 2*b + (4 - 1 - 4)*(-4*b + 3*b + 3*b) + 2*b - 4 + 4 + 0 + 0 + b)*(-4 + 2 - 1).
-9*b
Expand ((0 + 0 - 4*k)*(1 - 5 + 2) + 2*k + k - k + 2*k + 2 - 2 + 2 - 5*k - 2)*(1 - 1 - 2*k).
-14*k**2
Expand 0*u**3 + 6*u**3 - 3*u**3 + 3*u**3 - u**3 - 6*u**3 + u**3 + 7*u**3 - 5*u**3 + (-2*u - 3 + 3)*(7*u**2 - u**2 - 4*u**2).
-2*u**3
Expand (-g + 0*g + 4*g)*(3*g + g - g) - 4*g + 2*g**2 + 4*g + 1 - g**2 - 1 + (-2*g + 3*g - 3*g)*(3*g + 0*g - g) - 2*g**2 + 3 - 3 - g**2 + 0*g**2 + 3*g**2.
6*g**2
Expand (3 + 0 - 4)*(-10 + 10 + 8*m**2) + 3*m**2 - 3*m**2 + m**2.
-7*m**2
Expand (-3*x**3 + 4*x**3 - 3*x**3)*(-5 - 2 + 3)*(-2 + 6 - 3).
8*x**3
Expand (-3 + 3 + 2)*(-4*q + q + q) - 8*q - 9*q + 56*q.
35*q
Expand (-4*h**5 + 2*h**3 - 2*h**3)*(-8 + 2 + 1).
20*h**5
Expand p**2 - 73 + 0*p**3 + 74 + 2*p**3 + (2*p**2 - 2*p**2 + 2*p**2)*(-2*p + p + 2*p).
4*p**3 + p**2 + 1
Expand 2*w - 2*w + 8*w + 0 + 0 + w + 3*w - 3*w - 2*w + (-w + 2*w + w)*(5 - 2 - 4) + 3*w + w - 6*w.
3*w
Expand (-2*v**3 + 4*v**3 - v**3)*(-2 - 17 - 15).
-34*v**3
Expand 3*u**5 - 3*u**2 + 3*u**2 + 2*u**5 + 0*u**3 + 0*u**3 + (5*u**4 - u**4 - 2*u**4)*(u - 3*u + 3*u) + 8*u**5 - 2*u**5 + 17*u**5.
30*u**5
Expand (-50 + 50 + 14*p)*(-3 + 0 + 4) - p + 2 - 2.
13*p
Expand (-2 - 1 + 4)*(1 - 1 + 1)*(-4*x + x + 0*x)*(1 + 4*x**2 - 1).
-12*x**3
Expand (2*d**3 - 4*d**3 + 0*d**3)*(-d + 8*d**2 - 8*d**2 - 2*d**2).
4*d**5 + 2*d**4
Expand (9 - 9 + 4*v)*(4 - 6 + 3 + (2 + 0 + 0)*(-3 + 7 - 3) + 1 - 2 + 3).
20*v
Expand (-2*u**2 - u**2 + u**2 - 3*u**2 + u**2 - u**2 + (-3 + 3 - u)*(-2 - u + 2))*(u**2 - 2*u**2 + 3*u**2).
-8*u**4
Expand (1 + 3 - 2)*(-2 - a - 4 - a).
-4*a - 12
Expand -2212*z**2 + 2212*z**2 + 47*z**3 + (0*z**2 + 3*z**2 - 4*z**2)*(-2*z + 5*z - z) - 3*z + 3*z + z**3 + 0*z**3 - 2*z**3 + 4*z**3.
48*z**3
Expand (h - 3 + 3 + (-4 + 2 + 4)*(-1 + 1 - 2*h))*(-2*h**4 - 2*h**4 - 2*h**4 + (-2*h + 0 + 0)*(0*h + 2*h**3 + 0*h) + 0*h**4 + 0*h**4 - h**4).
33*h**5
Expand (5*y - 17*y + 0*y)*(-y**2 - y**2 + 3*y**2) + 3*y**3 + y**3 - 2*y**3.
-10*y**3
Expand (0*p**2 + 2*p**2 + 0*p**2)*(-2*p + 0*p - 5*p) + 2*p**3 - 6*p**3 + 3*p**3.
-15*p**3
Expand (0 - 2*o + 0)*(-o**4 + 2*o**4 - 5*o**4).
8*o**5
Expand (-3*r**3 + 4*r**3 - 2*r**3 + 0*r**3 + 4*r**3 - 2*r**3 + (4*r**2 - r**2 - 2*r**2)*(-1 + 1 + 2*r) + r**3 - 3*r**3 + 3*r**3)*(1 + 0 + 3).
16*r**3
Expand (-2*p + 2*p - 3*p)*(-14 - 5*p + 14) - 2*p**2 + 0*p**2 + p**2.
14*p**2
Expand (0 + 3 - 5)*(0*k**2 - 2*k**2 - 3*k**2)*(2*k + 0*k + 0*k).
20*k**3
Expand (3 - 6 + 5)*(185 - 185 - i) + 3*i + 2*i - 6*i.
-3*i
Expand (23*x**3 - 34*x**3 + 58*x**3 + 98*x**3)*(-2*x - 2*x + 3*x).
-145*x**4
Expand (4*z - z**5 - 4*z + (-12*z + 8*z - 13*z)*(0*z**3 + 0*z**3 + 2*z**4))*(1 - 2 + 3).
-70*z**5
Expand (-3*n - n + 2*n**3 + 2*n)*(0*n**2 + 0*n**2 - 8*n**2).
-16*n**5 + 16*n**3
Expand 2*d + 4*d - 3*d + (-1 - 2*d + 1)*(2 - 2 + 2) + d - 7*d + 3*d + (4*d - 6*d + 5*d)*(-1 - 1 + 1).
-7*d
Expand (-4*t - 3*t - t)*(-1 - 1 + 1)*(t + 0*t + t).
16*t**2
Expand -d**5 - 3*d**5 + d**5 - 3*d**5 + 0*d**5 + 9*d**5 + (0*d - 2*d + 0*d)*(2 + 2*d**4 - 2).
-d**5
Expand (3*k**3 - 3*k**3 - 2*k**4)*(-3*k + 0*k + k) + (-5 + 5 + k**2)*(-k**3 + 0*k + 0*k).
3*k**5
Expand (4*l + 1 - l + 0*l)*(-4 - 2 + 1).
-15*l - 5
Expand -3*q**3 + 2*q**3 + 3*q**3 + (3 - 3 + 2)*(0 + q**3 + 0) + q**3 + q**3 + 3*q**3.
9*q**3
Expand (2*m - m**4 - 2*m)*((4 - 2 - 1)*(-3 + 3 - 3) - 1 + 0 - 1).
5*m**4
Expand l**5 - l**5 + l**5 + (-3*l + 7*l + 0*l)*(0*l**4 + 2*l**4 + l**4).
13*l**5
Expand (11*i - 2 + 0*i - i)*(3 + 0 - 1)*(6 - 6 - 5*i).
-100*i**2 + 20*i
Expand (0 + 2 - 1 + (1 - 3 + 1)*(4 + 3 - 4) - 2 + 0 - 2)*(2*p**2 - 1 + 1).
-12*p**2
Expand 0*p**4 + 2*p**4 + 0*p**4 - 4 + 9*p**4 + 4 + (0*p**3 + 0*p**3 - 2*p**3)*(-p + p + p).
9*p**4
Expand 3*v - 2*v + 0*v - 6*v + 0*v + 4*v + (-5 + 3 + 0)*(-8*v - v + 3*v) + 4*v - 3*v + 0*v.
12*v
Expand -51 - 22*m**2 + 51 + 2*m - m**2 - 2*m + (2*m + 0*m - m)*(3*m - 4*m - m) - 7*m**2 + 4*m**2 + 4*m**2 - m**2 - m**2 + 0*m**2 + 2*m**2 - 3*m**2 + 2*m**2.
-25*m**2
Expand 22*j - 22*j + 14*j**5 + (-2 + 1 + 2)*(-3*j**5 - 3*j**5 + 4*j**5).
12*j**5
Expand 2*s**3 - 5*s**3 + s**3 - 5*s**3 + 2*s**3 + s**3 + (2 - s**2 - 2)*(0*s - s + 0*s) - s**3 - s**3 + 0*s**3.
-5*s**3
Expand -6*q - 8*q**4 + 10*q - 3*q + (q**3 + 0*q**3 + 0*q**3)*(q + 5*q - 4*q).
-6*q**4 + q
Expand (3 + u**2 - 3)*(u**2 - 6*u + 8*u + 4*u**2).
5*u**4 + 2*u**3
Expand (-9*a - 9 + 9)*(-2 + 2 - 1)*(-2 + 2 + 3*a).
27*a**2
Expand 3*v**4 + 0*v**2 + 0*v**2 + (4*v**4 - 3*v**4 + v**4)*(3 + 6 - 5).
11*v**4
Expand (-3 + 4 + 2 + 4 + 1 - 4 + 1 + 2 - 1 + (0 + 1 + 0)*(2 + 3 - 7) + 2 - 1 + 0)*((-z**2 - 1 + 1)*(4*z + z - 2*z) - 1 + z**3 + 1).
-10*z**3
Expand (-5*y**3 + 0*y**3 + 3*y**3)*(-2 + 2 + 6)*(2 - 1 + 0).
-12*y**3
Expand (-8 + 26 + 6)*(-2 + 2*d + 2).
48*d
Expand (t**2 - 2*t**2 - t**2 + (2*t - 4*t + 0*t)*(-t - 3*t + 5*t) + 3*t**2 + t**2 - 3*t**2 + 0*t**2 + 0*t**2 + t**2)*(6*t**3 - t**3 - 3 + 2).
-10*t**5 + 2*t**2
Expand -3*j**2 - 2*j**2 + 3*j**2 + (4*j - 6*j + j)*(1 - 1 - 2*j) + 2*j - 2*j + j**2 + 5*j**2 - 2*j**2 - 2*j**2 + (j - j - 4*j)*(5*j - 5*j - 3*j).
14*j**2
Expand ((-3 + 3 - 1)*(8 - 1 + 1) - 1 - 1 + 1)*(r + r + 0*r).
-18*r
Expand (1 - 1 - 4*b)*(-5 - 10 + 6 + (-3 + 5 - 1)*(1 - 2 - 1)).
44*b
Expand (-3*r**2 + 5 - 5)*(-3 - 10 + 1).
36*r**2
Expand (0*u**3 + 2*u**3 - 3*u**3)*(-3 + u**2 + 3)*(2 - 1 - 7).
6*u**5
Expand 0 + 2 - c**2 + 0*c**2 - 2*c**2 + 2*c**2 - 2*c**2 + (0 - 4 + 3)*(2*c**2 + 2 - 2) + c**2 - 3*c**2 + 3*c**2 - c - 2*c**2 + c.
-6*c**2 + 2
Expa
|
{
"pile_set_name": "DM Mathematics"
}
|
ue in -4, -2, 4.6634633?
-4
What is the second biggest value in -0.01, -149, 0.2, 0.1, -13, 2, 39?
2
What is the fourth smallest value in -3, -2/767, 0.4, 0.3, 0.5, 2, -62?
0.3
Which is the third smallest value? (a) 430 (b) -75 (c) 163
a
What is the fifth biggest value in 2, 2/23, -0.3, -5, -3, 6/7, 0.0023?
-0.3
What is the second smallest value in -2/9, -35655, 57?
-2/9
What is the third smallest value in 1, -48, -1/8, -2/9, 3983?
-1/8
What is the third smallest value in 1, -1/1454, 1/41, -0.1, -0.4?
-1/1454
What is the third smallest value in -29, 6, -155.2?
6
What is the third smallest value in 2/3, 286/19, 0.4, -177?
2/3
What is the smallest value in -1, 1087/2, -1/42, 1/7?
-1
What is the third smallest value in 0.5, 2/7, 5/4, -7/4129, -5, 261?
2/7
What is the fourth biggest value in -0.0843316, -5, -4, 5, -0.3?
-4
What is the second smallest value in -2/323, 19, -101?
-2/323
Which is the third smallest value? (a) 120 (b) -5 (c) 2064 (d) -5/4
a
What is the second smallest value in 290, -2/7, -44, -28?
-28
Which is the seventh smallest value? (a) 2/7 (b) -0.03 (c) 0.08 (d) -5 (e) -240 (f) 2 (g) 1/8
f
What is the smallest value in 0.7, -5150/9, -2, 2?
-5150/9
What is the smallest value in 9, 12, 12409, 3/2, -0.05?
-0.05
Which is the fourth biggest value? (a) -5923 (b) 3/11 (c) 10 (d) -6
a
Which is the third biggest value? (a) -17/400 (b) -2 (c) 712 (d) 1
a
Which is the third smallest value? (a) -8/39 (b) 26 (c) 2/71
b
What is the third biggest value in 0.1213, -0.04, 3/4, -13, 1/9, 2/41?
1/9
What is the smallest value in 1, -267, 3/58, 0.07, 1/4?
-267
What is the third biggest value in -2/9, 129/4, 0.126, -1, 0, -0.047?
0
Which is the fifth smallest value? (a) -0.1 (b) 5 (c) 0.1 (d) 2 (e) 1750 (f) -3
b
Which is the fifth biggest value? (a) -3 (b) 0.5 (c) -1/2 (d) 4/9 (e) -5/3 (f) -0.2 (g) -2/9
c
What is the fourth biggest value in -0.3, 0.69, 0.3, -333, -4, 1?
-0.3
Which is the fourth smallest value? (a) -12.919 (b) -0.5 (c) -2/9 (d) 2 (e) -23 (f) -0.02
c
What is the second smallest value in 11, -11/31, 3, 139, 34?
3
What is the second biggest value in -6/311, 44, -0.3, -2/13?
-6/311
What is the fifth biggest value in 3, -4, -6.9, 2, 3924?
-6.9
Which is the fifth smallest value? (a) 122 (b) 3/5 (c) -2 (d) -4785.3 (e) 0.2
a
What is the third biggest value in -1.3, -4/3, 26, 0.4, -3.1, 1/8?
1/8
Which is the second smallest value? (a) 182/5 (b) -8.45 (c) -3 (d) 12
c
Which is the fourth smallest value? (a) 0.1 (b) 0 (c) 76972/5 (d) 0.9
c
What is the sixth smallest value in 4, 3/2, -0.44, -0.2, 1207, -2/13, -4?
4
What is the seventh smallest value in 15, -4, 0.05, -0.1, 12, 1/4, 2/19?
15
Which is the second smallest value? (a) -2/5101 (b) 35801 (c) -2/11
a
Which is the second biggest value? (a) 0.4 (b) 2491118 (c) 1/2
c
What is the third biggest value in -16160, 0.3, -538.2?
-16160
Which is the fifth biggest value? (a) 0 (b) 2 (c) 0.4 (d) -2773/13 (e) 3 (f) -0.5
f
Which is the smallest value? (a) 82 (b) -2209 (c) -2/9 (d) -1/3 (e) -2/11 (f) 2/13 (g) 15
b
Which is the second biggest value? (a) -4/3 (b) 4 (c) -10 (d) -7 (e) -3/562
e
What is the second smallest value in 4, -7, -5, -9109, -17, 9?
-17
Which is the third biggest value? (a) -0.27 (b) 0.12 (c) 62 (d) 7 (e) 0.1
b
What is the smallest value in 34, -108.96, 7, -1?
-108.96
Which is the second smallest value? (a) -1/6 (b) 0.1498 (c) -48 (d) 7 (e) 1/2
a
What is the second biggest value in -26, 2, -2/7, 5/4, -4/41, -1/11?
5/4
What is the biggest value in 2/25, 1/3197, 1/3?
1/3
Which is the smallest value? (a) -1/3 (b) -0.025 (c) -7538/15
c
What is the third biggest value in 0.02, 1037, 0.00294?
0.00294
What is the fourth smallest value in -28, -0.2, 6308, -27?
6308
What is the smallest value in -799, 8/5, -1, 2, -2, 1?
-799
Which is the fifth smallest value? (a) 0.5 (b) 1/12 (c) 4 (d) -0.4122 (e) 0.11
c
What is the third biggest value in -2, 0, 15, 0.9, 1/3, 0.4, -1/6?
0.4
Which is the second smallest value? (a) -3 (b) -9 (c) 2695 (d) 3/4 (e) -1
a
Which is the fourth biggest value? (a) 4 (b) -4 (c) 2 (d) 0.1 (e) 1322 (f) -3/4 (g) 7
c
What is the fifth smallest value in -2/3, -14, 0.5, -1, 5/23, 814?
0.5
What is the second smallest value in -0.3, 2, 2810313, 0.1?
0.1
Which is the biggest value? (a) 0.324 (b) -1.8 (c) 57 (d) 0.3 (e) -2 (f) 4
c
What is the smallest value in 0.07, -4922645, -0.08?
-4922645
Which is the third smallest value? (a) 4 (b) -1/945 (c) -3 (d) -12
b
What is the second biggest value in 0.4, -2.781, 0.09, -11, -0.4, 5?
0.4
Which is the second smallest value? (a) -0.3 (b) 0 (c) 0.033 (d) 8/9 (e) 6 (f) -53
a
Which is the biggest value? (a) 85 (b) -96 (c) -10902
a
Which is the fifth biggest value? (a) 3/11 (b) -5 (c) 286 (d) -2 (e) 2/5 (f) -2/7 (g) -0.09
f
What is the smallest value in -5.4, -0.531, -1/3, 13, -2, 4?
-5.4
Which is the third smallest value? (a) -44 (b) -36 (c) -0.478
c
Which is the second smallest value? (a) -0.2 (b) 4.4821 (c) 2 (d) -1/2
a
What is the fourth biggest value in 0.2, -0.07, 12, 3/187, -5?
-0.07
What is the second biggest value in -4.579, -43, 5?
-4.579
What is the biggest value in 23284, 0.5, 0.1, -11, -0.4?
23284
Which is the third smallest value? (a) 46/5 (b) -2 (c) 1 (d) 17 (e) -2/115
c
Which is the biggest value? (a) -9 (b) 9 (c) -39 (d) 5 (e) -4.69
b
What is the third smallest value in 2/31, 0.2, 0.8271, 0?
0.2
Which is the second smallest value? (a) -0.2 (b) 3/299 (c) 886
b
What is the seventh smallest value in 2/21, 2, -10, 251, -0.1, -5, -30?
251
Which is the second smallest value? (a) 1/3 (b) 1/2 (c) 8 (d) -1/2 (e) 2/5
a
What is the smallest value in -3/4, -4, -1, -381, 0.34, -5?
-381
What is the fifth biggest value in -1, -2/163, 0.0011, 1/2, 0.09?
-1
Which is the fifth biggest value? (a) 0 (b) -39 (c) 346 (d) -48 (e) -1/2
d
What is the sixth smallest value in 22, -2, 17, 5, 0.026, 6/19?
22
Which is the biggest value? (a) -1/4 (b) 5 (c) -1/19 (d) 1/4 (e) -204
b
Which is the second biggest value? (a) -0.476 (b) -4 (c) 1/7 (d) -2/497
d
Which is the fifth smallest value? (a) -2/3 (b) 3441 (c) 2/7 (d) 2/5 (e) 0 (f) 0.3 (g) -2/7
f
Which is the third biggest value? (a) 2517 (b) -4 (c) 0.2 (d) 166/15 (e) -1
c
Which is the third smallest value? (a) -8 (b) 273 (c) 3/287 (d) 1/2
d
Which is the sixth smallest value? (a) 2/7 (b) -0.03 (c) 5 (d) -518 (e) 2/3 (f) 58
f
What is the second biggest value in -0.2, 40993, -1/15, -5/2?
-1/15
Which is the biggest value? (a) -0.061 (b) 1 (c) 97873
c
Which is the smallest value? (a) 0.42271 (b) 0.04 (c) 0.6
b
What is the second smallest value in 2/15, 6, 0, -1/5, -1, 957, 84?
-1/5
What is the second biggest value in 3.2, 0.2, 1278813, 2?
3.2
Which is the fourth smallest value? (a) 1/5 (b) -1/3 (c) -41858 (d) -2/113 (e) 2/59
e
Which is the second biggest value? (a) 4 (b) -738 (c) -9/8 (d) 0.8
d
Which is the fifth biggest value? (a) -3/221 (b) 1 (c) 2/5 (d) 0 (e) -0.02 (f) -3
e
Which is the biggest value? (a) 7 (b) -1.5 (c) 4/23 (d) -3/28 (e) 1 (f) 3
a
Which is the fourth biggest value? (a) -1795.6 (b) -1/6 (c) -1 (d) 5
a
What is the biggest value in -1/2, -2/97, -2, 1/141, -1?
1/141
Which is the smallest value? (a) 7 (b) 2 (c) 0.7 (d) -4175
d
What is the fourth biggest value in 53, 3/7, 9/4, 3/4, -18, 10?
3/4
Which is the biggest value? (a) -4397/2 (b) 370 (c) -8
b
Which is the biggest value? (a) -0.2 (b) 2/7 (c) 0 (d) 19/730 (e) -4/7
b
What is the second biggest value in -3447, -0.6, 2/5, -8, -3/8, 2/37?
2/37
What is the smallest value in 730, 2/97, 0.1, 1, -2, 1/8, 40?
-2
What is the fourth smallest value in 69, -10/9, -5, -2655?
69
Which is the second smallest value? (a) 10/83 (b) 2/11 (c) -0.1226 (d) -0.05 (e) -5
c
What is the second smallest value in -1/4, 3/2, 5, -170, -0.6, 2/105, 1?
-0.6
What is the fourth smallest value in 2, 7704918, -20, 0.3?
7704918
Which is the second smallest value? (a) 0.86 (b) -108.2 (c) -0.4 (d) -301 (e) -3 (f) 5
b
Which is the sixth smallest value? (a) -1/4 (b) 19 (c) 2/19 (d) -5 (e) 2 (f) 17 (g) 0.06
f
Which is the bigge
|
{
"pile_set_name": "DM Mathematics"
}
|
of z?
8
Let y = -10042 - -14937. What is the tens digit of y?
9
Let i(b) be the third derivative of -b**6/120 + b**5/15 + 7*b**4/24 - b**3 + 21*b**2. What is the units digit of i(-5)?
4
Let j(q) = 3*q**2 - 36*q - 303. What is the thousands digit of j(-31)?
3
Suppose 2*q = -5*p + 2770, -5*p = -24*q + 20*q - 2740. What is the hundreds digit of p?
5
Let n(s) = s**2 + 4*s - 7. Let i be n(-6). Suppose 81 = i*f - 114. Suppose 10*z = 7*z + f. What is the units digit of z?
3
Suppose 0 = -6*c + 10*c - 588. Suppose c + 241 = 4*p. What is the units digit of p?
7
Suppose 185*z - 198*z + 49582 = 0. What is the tens digit of z?
1
Suppose s + 5*z = -10 - 8, -5*z = 3*s + 14. Let u be (1 - s)/(2/(-4)). Suppose 24 = 2*n - 4*g, -u*g - 34 = -4*n - g. What is the units digit of n?
8
Let u = -394 + 210. Let y = 275 + u. What is the tens digit of y?
9
Suppose 5*m + 4*l - 2350 = 0, l - 4 = 1. What is the units digit of m?
6
Let k be 3/((-60)/25 - -3). Suppose k*s + 2*d - 80 = 170, -109 = -2*s + d. What is the tens digit of s?
5
Let z = 44 - -246. What is the hundreds digit of z?
2
Let f be (-36)/8*10/(-45)*138. What is the units digit of (-3 - f/4)*(-2 + -4)?
5
Let z(v) = 7*v**2 - 38*v + 12. What is the tens digit of z(13)?
0
Suppose 10*j + 4046 = 15*j + 3*z, 0 = -4*z + 8. What is the tens digit of j?
0
Suppose -73 = -3*u + u - x, 4*u - 4*x = 152. What is the units digit of 2/8*0 + u?
7
What is the tens digit of (-20)/(-30) + 1 + (-3337)/(-3)?
1
Suppose 0 = -14*h + 9*h + 9015. What is the units digit of h?
3
Suppose -8 = -13*n + 9*n. Suppose 855 = 5*b + 5*g, -4*g = -4*b - n*g + 690. What is the units digit of b?
2
Suppose 0 = -g + 5*v + 4, 3*g + v = 4*g + 8. Let k(j) = -j**2 - 18*j - 19. What is the units digit of k(g)?
8
Let j(s) = 229*s**2 - 56*s + 79. What is the tens digit of j(5)?
2
Suppose 3*q = s - 218, 5*q + 412 = 3*s + 46. Let b = 80 - q. What is the tens digit of b?
5
Let p(r) = -6 - 3*r + r + r. Let a be p(-7). What is the units digit of 1/(-1 - (a - 3))?
1
Let f = -144 - -79. Let v = f + 99. What is the units digit of v?
4
Suppose -2284 = -4*l - 4*i + 4604, -4*l = i - 6897. What is the units digit of l?
5
Let x(q) = 30*q**2 + 13*q - 3. What is the hundreds digit of x(-3)?
2
Suppose 3*v - 4885 = 737. What is the tens digit of v?
7
Let f = -916 - -1921. What is the hundreds digit of f?
0
Let z = -114 + 314. Suppose z = 3*r + 2*r. Suppose 7*l - 2*l = -5*p + r, -3*p = l - 28. What is the units digit of p?
0
Let z be (-52)/(-13) - 0/(-1). Suppose 5*g - z*b + 0*b = 778, 4*b - 644 = -4*g. What is the hundreds digit of g?
1
Suppose -6*b - 3339 = 3*b. Let i = 542 + b. What is the tens digit of i?
7
Let a = -66 + 67. What is the units digit of (12*38/4 - 0)*a?
4
Suppose 3729 = 6*y - 13887. What is the hundreds digit of y?
9
Suppose -4*k + 0*k + 288 = 0. Let y = k + -27. What is the units digit of y?
5
Let j = 962 + -477. What is the units digit of j?
5
Let s = -177 - -622. What is the tens digit of s?
4
Suppose -5*z + 311 = 4*u, 4*u - 9*z = -6*z + 319. What is the tens digit of u?
7
Suppose -100*q + 103*q - 357 = 0. What is the units digit of q?
9
Let t = -12 + 28. Let h be (4 - 3 - 1)/2. Let v = t + h. What is the tens digit of v?
1
Suppose -20*h + 16*h - 6 = -2*f, -2*h + 49 = 3*f. What is the units digit of f?
3
Let z be (7 + 0)*720/42. Suppose -3*q = 3*x - 4*x + 30, 4*x - z = -5*q. Suppose -5*c - x = -85. What is the units digit of c?
1
Let l(v) = 56*v + 93. What is the tens digit of l(9)?
9
Suppose -4*v = 5*j - 6992, -5*j + 3013 + 3973 = 2*v. What is the tens digit of j?
9
Let z be 3/(5*(-2)/(-10)). Suppose 5*d + 4*u - 169 - 307 = 0, 3*d - z*u - 291 = 0. What is the tens digit of d?
9
What is the tens digit of 18/5*(-28670)/(-141)?
3
Let m = -29 - -28. What is the tens digit of (-352)/(-10) - m*(-7)/35?
3
Let y = 36 + -28. Suppose 5*j = y + 47. What is the units digit of j?
1
What is the units digit of (-1 + (4 - 7))*301/(-2)?
2
Let n = 283 - 195. Let d = n + -13. What is the tens digit of d?
7
Let x(o) = 11*o**2 + 6*o + 2. Suppose -5*m - 4 = 6. What is the units digit of x(m)?
4
Let l(b) = 864*b - 812. What is the tens digit of l(6)?
7
Let o(q) = -q**3 + 21*q**2 + 68*q + 36. What is the hundreds digit of o(21)?
4
Let j(r) = -r**2 + 2*r + 168. Suppose 0 = f - 3*f + f. What is the hundreds digit of j(f)?
1
Suppose 25 = 5*g, -2*z - g - 3339 = -6*z. What is the tens digit of z?
3
What is the hundreds digit of ((-39)/(-9) - 1)*3264/40?
2
Suppose y = 4*u - 1727, -2*y + 5*y - 15 = 0. What is the hundreds digit of u?
4
Suppose -215*c + 182*c + 43131 = 0. What is the hundreds digit of c?
3
Suppose -18*u = -23*u - 50. What is the tens digit of (-532)/u + 3/(-15)?
5
What is the thousands digit of (386/3)/((-202)/(-2727))?
1
Let j(x) = -61*x + 119*x + 4 - 67*x. What is the units digit of j(-15)?
9
Suppose 0 = -22*q + 48103 + 52239. What is the thousands digit of q?
4
Suppose -v = 11*v - 2808. What is the units digit of v?
4
Let t be -21*(3 + -2 - 3). Suppose 3*w + 5*a - 49 = 5*w, 4*a = -3*w - 16. Let v = w + t. What is the units digit of v?
0
Let t(u) = -u + 6. Let i be t(4). Suppose -i*s - 3*s = -20. Suppose -n + 30 = n - 2*k, 0 = s*k - 8. What is the tens digit of n?
1
Let h be 36/(-54) + (-4)/(-6). Suppose 5*g + 22 = 62. Suppose o + o - g = h. What is the units digit of o?
4
Let z(q) = q**3 + 6*q**2 - 11*q - 4. Let x be z(6). Suppose -120 + x = u. What is the hundreds digit of u?
2
Suppose 4*c - 5*y = -2*y, 0 = c + 2*y - 11. Suppose 0 = -0*v + 3*v - 375. Suppose 2*m = -4*i + 70, -c*m + v = m + 3*i. What is the units digit of m?
9
Let a(i) = 255*i + 15. Let m be a(4). What is the units digit of 2/(-4) + m/10?
3
Let m(k) = 4*k + 5. Let o(r) = -1. Let d(y) = m(y) + 2*o(y). Let q be d(5). What is the tens digit of q/3*(-1 - -4)?
2
What is the hundreds digit of (110 + 273)*2/2?
3
Suppose -4*q + 1079 - 3471 = -k, -5*k + 11942 = -2*q. What is the hundreds digit of k?
3
Suppose 0 = 13*i - 2226 - 634. What is the hundreds digit of i?
2
Suppose -12*o = -2504 - 12496. What is the tens digit of o?
5
Let n(h) = -2*h**2 + 9*h + 17. Let m be n(9). Let a = m - -312. What is the units digit of a?
8
Suppose 0 = 6*f - 3375 + 675. Suppose 5*v + 5*v = f. What is the tens digit of v?
4
Let z(n) = n**2 + 16. What is the tens digit of z(-13)?
8
Suppose -30*f + 739 = 5*b - 26*f, -4*b = -f - 608. What is the tens digit of b?
5
Let f be 0/6*(-4)/(-8). Suppose -2*i - 5*s + 55 = f, 4*i + 0*s + 2*s - 134 = 0. What is the tens digit of i?
3
Let r(w) = -w**3 + 16*w**2 + 7*w - 10. Let m be r(11). Suppose -9*s + m = -s. What is the tens digit of s?
8
Suppose 0*j + 1 = 3*j - 2*g, -4*j = -4*g + 4. Let y be 168/(-35)*(2 + (-16)/3). Suppose -p - j = -y. What is the units digit of p?
3
Let k(g) = -6*g. Let c be k(6). What is the tens digit of ((-220)/12 + -5)*c/10?
8
Let w = -836 + 1460. What is the units digit of w?
4
Suppose 0 = 8*u + 43 + 5. Let p(k) = k**2 - 2*k - 22. What is the units digit of p(u)?
6
Suppose -4*q + 4 = 48. Let h(p) = -3*p**2 + 23*p + 27. Let z(x) = x**2 - 8*x - 9. Let m(u) = q*z(u) - 4*h(u). What is the tens digit of m(8)?
2
What is the hundreds digit of (233 + 0 + 1)/(-3 + 4)?
2
Let o be ((-10)/15)/((-1)/6). Let y = o - 2. Suppose 0 = y*j + 14 - 36. What is the tens digit of j?
1
Let g(q) = q**2 + 17*q + 18. Let u(i) = i**2 - 23*i + 26. Let s be u(21). What is the units digit of g(s)?
2
What is the units digit of ((-2481)/9)/((-8)/24)?
7
Let y(n) = 56*n**2 + 31*n - 165. What is the units digit of y(6)?
7
Suppose -5*d + 2*c - 32 = 5*c, -d - 5*c - 24 = 0. What is the hundreds digit of d/(-22) - -28*(-160)/(-44)?
1
Let v(b) = -3*b**3 + 9*b**2 + b - 2. Let x(j) = -3*j**3 - 2*j + j**3 + 5*j**3 + j**3 + 1 - 10*j**2. Let c(r) = 3*v(r) + 2*x(r). What is the units digit of c(5)?
1
Suppose 2970 - 17358 = -33*q. What is the units digit of q?
6
Let k(u) = 2*u**2 + 2*u. Let j be k(1). Suppose 0*v = -4*a + 5*v + 819, 4*a - j*v = 820. What is the units digit of a?
6
Let s = -23 + 4. Let c(i) = i**3 + 18*i**2 - 22*i - 26. What is the tens digit of c(s)?
3
Let y = 8130 - 3882. Suppose -8*p - y = -26*p. What is the tens digit of p?
3
Suppose -2*g + 441 = -y, y + 894 = 4*g + 3*y. What is the hundreds digit of g?
2
Let k be ((-24)/20)/(10/(-25)). Suppose -3*a + 1 = k*h - 8, 4*a - h = -8. What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
, 5, 0.1?
-10/3
What is the closest to 1/3 in -6, -0.4, 4/23, -0.1?
4/23
What is the nearest to -3 in -1.3, -0.5, 0, -0.3?
-1.3
What is the closest to -0.5 in 0.1, -0.05, -0.8, 3?
-0.8
Which is the nearest to 0.1? (a) 2 (b) 5 (c) -3/2 (d) 0.2
d
What is the nearest to 0.1 in -0.4, -4/13, 0.5, 3?
0.5
Which is the nearest to 2/3? (a) -3 (b) 3 (c) 329 (d) 0.5
d
What is the closest to -1/6 in 3/4, 0.4, -0.3, -1?
-0.3
Which is the nearest to 1? (a) 0 (b) -5 (c) -2/5
a
Which is the nearest to -1? (a) 0 (b) -4 (c) -73 (d) 3
a
Which is the nearest to 0.1? (a) -0.4 (b) -1/6 (c) 0.13 (d) -1/2
c
Which is the nearest to -1? (a) 3/4 (b) -0.2 (c) 4 (d) 0.5
b
What is the nearest to 0 in 4/9, -0.5, -3/2, -4?
4/9
Which is the nearest to 2? (a) 1 (b) -8 (c) -1/44 (d) -0.1
a
Which is the closest to -1/3? (a) 0.2 (b) 6 (c) 0.4 (d) 2/9
a
What is the closest to 4/5 in 2, 1, 2/9, -24?
1
What is the nearest to 2 in 5, -0.034, 4?
4
Which is the closest to -1/2? (a) -0.5 (b) 3/16 (c) -0.6
a
Which is the closest to -80? (a) -0.2 (b) 2/7 (c) 3
a
What is the nearest to 0 in 3/4, 25/8, -1/3, -2?
-1/3
What is the nearest to 1.471 in -5, 1, -0.4?
1
Which is the nearest to 9? (a) -0.5 (b) -4 (c) -0.1
c
Which is the closest to 2? (a) -3 (b) 1/9 (c) -1/2 (d) 0.2
d
Which is the nearest to -0.1? (a) -4 (b) 0 (c) 2 (d) 4
b
Which is the closest to 2/11? (a) 2/3 (b) -6/7 (c) 1
a
Which is the closest to -0.2? (a) 0 (b) -1 (c) 3 (d) -4/9
a
Which is the nearest to -4? (a) 1/7 (b) 149 (c) -1/6 (d) 1
c
Which is the closest to -0.01? (a) 0.3 (b) 4 (c) -3 (d) 0
d
What is the nearest to -0.02 in 3/8, 5, -103?
3/8
What is the nearest to -14 in -1/5, -5, 5, -2/7?
-5
Which is the closest to -1? (a) -23 (b) 0.2 (c) 0
c
What is the closest to 0 in -1, 0.19, 5/3, 0.1?
0.1
What is the nearest to -4 in -7, -0.5, -0.3?
-7
What is the nearest to 1/5 in 2/17, -2/21, -3?
2/17
Which is the closest to 0? (a) -1/11 (b) -1 (c) -132
a
Which is the closest to 2/57? (a) -1 (b) 5 (c) 6/5 (d) 0
d
What is the nearest to 0.1 in -25, 0.5, -5?
0.5
Which is the nearest to 1/3? (a) 22 (b) 0.1 (c) -4 (d) -5
b
What is the closest to -237 in -5, -0.3, -2, -4?
-5
What is the closest to 5 in 1/5, 3, -3/5, 0?
3
Which is the nearest to -1? (a) -3/8 (b) 4 (c) 9 (d) 0.3
a
Which is the closest to 0? (a) 0.41 (b) 3 (c) 1/12
c
What is the nearest to 0 in -2/5, 4, -2?
-2/5
Which is the nearest to -0.1? (a) 3/2 (b) -1/19 (c) -4/5 (d) -5
b
What is the closest to 0.2 in 1, 1/7, 3/8, -5?
1/7
Which is the nearest to -1? (a) 45 (b) -0.5 (c) -4/7
c
Which is the closest to -2/7? (a) -3 (b) -2063 (c) -0.1 (d) -2/3
c
Which is the closest to 4? (a) 4 (b) -0.7 (c) 0
a
Which is the closest to 1/18? (a) 0 (b) -5 (c) 0.02
c
What is the closest to 1 in 27, -1/4, -4, 4?
-1/4
Which is the closest to -3? (a) 5 (b) -1 (c) 0 (d) -4
d
Which is the closest to 4? (a) -3 (b) -4 (c) -1/6 (d) -16
c
Which is the nearest to 1/3? (a) -8 (b) -4 (c) 4 (d) 0.4
d
Which is the closest to 48? (a) 4 (b) 41 (c) -2/9
b
Which is the nearest to 69? (a) 5 (b) -1/5 (c) -4 (d) 3
a
What is the nearest to -2/3 in -324, -4, -3/4?
-3/4
What is the closest to -0.1 in -4/297, -4, 2/13?
-4/297
What is the closest to 0.1 in 8/3, 0.3, 3?
0.3
What is the nearest to 2/7 in 5/2, -1, 1/2?
1/2
What is the closest to -1 in -2/5, 4, 5, 0.7?
-2/5
Which is the closest to 0.1? (a) -4116 (b) -5 (c) 4
c
What is the closest to -45 in 0.1, 0.2, 1/2?
0.1
Which is the closest to 0? (a) -0.001 (b) -2 (c) 0.5
a
Which is the nearest to -1/2? (a) 2/5 (b) 0.02 (c) 1/7 (d) -4
b
Which is the closest to 1? (a) -0.1 (b) 3 (c) 22 (d) 0.3
d
Which is the nearest to 10? (a) 4/3 (b) 2/5 (c) 0 (d) -9
a
What is the closest to -0.5 in -0.6, 4, 2, 1?
-0.6
What is the closest to -1 in 1/3, 0.1, 17/5, -7?
0.1
What is the closest to -0.1 in -62, 0.5, -8/9?
0.5
What is the nearest to 0 in 0.4, -54/13, -5?
0.4
Which is the closest to -28? (a) -1.2 (b) -2/9 (c) 0
a
Which is the closest to 3? (a) 4/5 (b) 13 (c) -0.3 (d) 11
a
Which is the closest to 2/9? (a) 1 (b) 4 (c) -4
a
What is the closest to -1 in -0.21, -5, -0.2, -2?
-0.21
Which is the closest to -0.3? (a) 1/5 (b) -19.2 (c) -3/5
c
What is the nearest to -0.03 in 1/4, -4, -0.09?
-0.09
What is the closest to -1 in -7, 3, 1/4, -4?
1/4
What is the nearest to 0 in -1, -1.4, 0.71?
0.71
Which is the nearest to -0.1? (a) 1 (b) 2/13 (c) 23 (d) -6
b
Which is the closest to -0.3? (a) 5/2 (b) 0.1 (c) -1
b
What is the nearest to -0.2 in -0.8, -5, -3/7, 2/7?
-3/7
Which is the closest to 0.1? (a) 0.88 (b) 1 (c) 0.4
c
What is the nearest to 0 in -0.12, 2, -3, 2/5?
-0.12
Which is the nearest to -1? (a) 4 (b) -2 (c) 31/2 (d) 2
b
What is the closest to -0.1 in 4, -4, -3, -0.5?
-0.5
What is the nearest to -1/4 in 3, 25, 0.3, 0?
0
Which is the closest to 0? (a) 2 (b) 0.4 (c) -1/3 (d) 3
c
What is the nearest to -0.1 in 0.5, -1/7, 0.4, -3?
-1/7
Which is the closest to 0.3? (a) -20 (b) 5 (c) -0.3 (d) -0.4
c
What is the nearest to 0.1 in 0.1, -356, -1?
0.1
What is the closest to 5 in 0.35, 4, -1/11?
4
Which is the closest to -15? (a) -3 (b) -3/7 (c) 0.1 (d) -6
d
Which is the nearest to -1? (a) -2/9 (b) 0.1 (c) 5 (d) -42/19
a
What is the closest to -2 in 2, -4/7, -1, 3/4?
-1
Which is the closest to 1/4? (a) -0.1 (b) 0.2 (c) -1
b
What is the nearest to -0.05 in -9, -4, -1.2?
-1.2
Which is the nearest to 2? (a) 133 (b) 5 (c) 0.5
c
What is the nearest to -2 in 1/2, 0.11, 3, 6?
0.11
Which is the nearest to 0.2? (a) 60/7 (b) -3 (c) 3
c
Which is the closest to -9? (a) -24/17 (b) -0.5 (c) 0.4
a
What is the closest to -1 in -7, 10, -1/2?
-1/2
Which is the closest to 4/5? (a) -2 (b) -0.39 (c) -0.4
b
Which is the closest to 0? (a) 2 (b) 110 (c) -1 (d) 0
d
What is the nearest to 0.1 in -1, -10, -2?
-1
What is the nearest to 1 in 3/7, 4/65, -2/5?
3/7
Which is the nearest to 9/4? (a) 0.4 (b) 1 (c) 5 (d) -1/4
b
What is the closest to 0 in -29, 2, 5, -4?
2
What is the nearest to 0 in 0.3, -0.1, -1, -2.9?
-0.1
What is the closest to -4/17 in 0.2, -0.3, 3/4?
-0.3
Which is the closest to 0.55? (a) 4 (b) 1/2 (c) -5 (d) -0.5
b
What is the closest to 1/2 in 5, 4, 0.5, -0.3?
0.5
Which is the closest to 1? (a) -1/7 (b) -0.4 (c) 4
a
What is the closest to 2/3 in 0.1, 0, -2/9, 0.38?
0.38
Which is the nearest to -0.06? (a) 0.2 (b) -3 (c) 0.4 (d) 14
a
What is the nearest to -2/7 in -1/3, -4, 2/7, 12?
-1/3
Which is the nearest to 0.1? (a) 2 (b) 6 (c) -4 (d) -0.9
d
What is the closest to -0.1 in 2/7, -0.2, 17, -1?
-0.2
What is the closest to -28/9 in 11/2, 2/13, -5?
-5
Which is the closest to 34? (a) -4 (b) 1 (c) -3
b
What is the nearest to 2/3 in 0.8, 0.2, -0.5?
0.8
What is the closest to -1 in -0.098, -3/4, -0.5?
-3/4
Which is the closest to -2? (a) -2/5 (b) -18 (c) 3/5
a
Which is the closest to -2/5? (a) 3 (b) -1.6 (c) 1/5
c
Which is the nearest to 2? (a) 0.65 (b) 5 (c) -5
a
What is the closest to -1/2 in -0.5, 3, 0.032, -2/13?
-0.5
What is the nearest to 1.3 in 2/11, 0.4, 0.3, -7?
0.4
What is the closest to -1/2 in 24, 5, 0.5, -1?
-1
What is the closest to -1 in 4, -479, -1?
-1
What is the closest to 1 in -0.3, -19, -0.4?
-0.3
Which is the nearest to -1? (a) 1 (b) 11.5 (c) -0.1 (d) -6/7
d
Which is the nearest to 1/5? (a) 1/4 (b) -5 (c) -3
a
Which is the closest to 1/10? (a) -5/97 (b) 5 (c) 4
a
What is the closest to 4 in 4/9, -112, 1/5?
4/9
Which is the nearest to 1/5? (a) 4 (b) 2/7 (c) 1/2 (d) -6
b
What is the nearest to 0.26 in -0.07, 0, -0.1, -4?
0
What is the closest to -3 in -4, -4/3, -3/14, 0?
-4
What is the nearest to -2 in 18, -0.9, 0.2, 8?
-0.9
Which is the closest to -2? (a) 1/4 (b) -2 (c) 39 (d) -0.5
b
Which is the nearest to -0.1? (a) -2 (b) 0.01 (c) 1.16
b
What is the closest to 1 in 3, 0.2, 63, 0.3?
0.3
What is the closest to -0.6 in 0.2, -2.93, -1/3, -4?
-1/3
Which is the nearest to 2/13? (a) -4/3 (b) -4 (c) -3
a
What is the closest to -388 in 5, 0, 1, 1/5?
0
What is the closest to -97/2 in -1/9, 0.07, 2?
-1/9
Which is the nearest to -7? (a) 0.8 (b) -3 (c) 0.2 (d) 3
b
Which is the nearest to 2/75? (a) -5 (b) -4 (c) 0.1 (d) 2
c
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
n base 12, what is a5 + 1a?
103
In base 16, what is 2 + 46?
48
In base 4, what is -1131 + -2?
-1133
In base 9, what is 260 + -60?
200
In base 4, what is 0 - -331?
331
In base 5, what is 1 + 101?
102
In base 9, what is 2 + -5?
-3
In base 8, what is 2 - -1721?
1723
In base 9, what is 26 + -45?
-18
In base 8, what is 5 - -136?
143
In base 14, what is 6b + -1?
6a
In base 13, what is 5 - 1582?
-157a
In base 15, what is 17 + 30?
47
In base 14, what is 3 + 32?
35
In base 16, what is 1d9 + 2?
1db
In base 8, what is -155 - -32?
-123
In base 3, what is 11 + -120?
-102
In base 3, what is -20112 - 1?
-20120
In base 14, what is 18 - 4?
14
In base 16, what is 4 - 11?
-d
In base 12, what is 5 + 263?
268
In base 9, what is -75 - -15?
-60
In base 10, what is -80 - 14?
-94
In base 16, what is 19f6 - 5?
19f1
In base 10, what is 3 - 1038?
-1035
In base 13, what is -157 + -5?
-15c
In base 4, what is 13003 - -102?
13111
In base 9, what is 650 + 3?
653
In base 8, what is -34 - 107?
-143
In base 9, what is 7 + -2?
5
In base 2, what is -1101 + 101111?
100010
In base 2, what is 1001001111100 - 100?
1001001111000
In base 5, what is 211404 + -1?
211403
In base 8, what is 2 - 1002?
-1000
In base 10, what is 1896 + 3?
1899
In base 4, what is -2 + -1113?
-1121
In base 5, what is -2 + -1234?
-1241
In base 12, what is 19 + -1?
18
In base 8, what is -10541 - 2?
-10543
In base 3, what is 2011101 + -12?
2011012
In base 12, what is 3aab + 2?
3ab1
In base 14, what is -4 + c?
8
In base 7, what is 423 - 2?
421
In base 12, what is -4 - -53?
4b
In base 7, what is 224 + -101?
123
In base 16, what is 2 + c?
e
In base 11, what is 22 - 13?
a
In base 7, what is -6 + -10?
-16
In base 16, what is -8cd - 5?
-8d2
In base 3, what is 2212 + -11012?
-1100
In base 7, what is 15200 + 1?
15201
In base 12, what is 158 - -4?
160
In base 11, what is -4 + -65?
-69
In base 15, what is -5 - c4?
-c9
In base 5, what is 0 + -4141?
-4141
In base 4, what is 3 + 31212?
31221
In base 8, what is 0 + 24?
24
In base 5, what is 314 + -112?
202
In base 9, what is 52 - -3?
55
In base 5, what is -101 + 114?
13
In base 9, what is 108 - -1?
110
In base 11, what is -343 - 5?
-348
In base 4, what is -3 - 302203?
-302212
In base 6, what is 5 + -150?
-141
In base 2, what is 1000 + -1110?
-110
In base 5, what is -2233 - -10?
-2223
In base 16, what is -1 + -2d?
-2e
In base 16, what is -12 + 1?
-11
In base 16, what is 6 + -b6?
-b0
In base 2, what is 100000 - 1?
11111
In base 5, what is 241 - 0?
241
In base 13, what is -b - -71?
63
In base 14, what is 50 - -4?
54
In base 15, what is 2 + -1?
1
In base 15, what is -1 - b5?
-b6
In base 6, what is -214325 + -2?
-214331
In base 7, what is 1031 + -5?
1023
In base 9, what is 2368 + 0?
2368
In base 15, what is 1 - -72?
73
In base 3, what is 2 - 1121011?
-1121002
In base 4, what is 22330 + 2?
22332
In base 7, what is 242 + 4?
246
In base 15, what is 13 - 34b?
-338
In base 11, what is 42 - -28?
6a
In base 4, what is 0 - -32?
32
In base 10, what is 1 - 50?
-49
In base 11, what is -6 + -79?
-84
In base 12, what is -1 - 15?
-16
In base 11, what is -3 + -1953?
-1956
In base 15, what is 93 + 4?
97
In base 14, what is a + d1?
db
In base 11, what is 2 - -12?
14
In base 9, what is 3738 + -2?
3736
In base 3, what is 2 - 1212210?
-1212201
In base 3, what is -10 - 221201?
-221211
In base 12, what is 1178 + 3?
117b
In base 11, what is 5 + -24?
-1a
In base 16, what is -1 - -43?
42
In base 3, what is 1222 - -1111?
10110
In base 10, what is 54 - 72?
-18
In base 15, what is 7 + -12?
-a
In base 6, what is 11444 - -5?
11453
In base 5, what is 1 - -20?
21
In base 12, what is -2033 + 5?
-202a
In base 12, what is 3a9 - 0?
3a9
In base 8, what is -2130 - -4?
-2124
In base 5, what is 3 - 114?
-111
In base 5, what is 32 - -433?
1020
In base 14, what is 1c3 - 6?
1bb
In base 2, what is -1 - -11011100000?
11011011111
In base 2, what is 110110 - 1111?
100111
In base 9, what is -2431 - 4?
-2435
In base 9, what is 3 + 185?
188
In base 8, what is 3 + -302?
-277
In base 2, what is 111110 - -101?
1000011
In base 8, what is 12 + -30?
-16
In base 16, what is 6 + -6?
0
In base 4, what is -11 + -3000?
-3011
In base 10, what is -2069 + 1?
-2068
In base 16, what is 1 + -dd9?
-dd8
In base 3, what is 10000 + 11?
10011
In base 6, what is -1 - 333?
-334
In base 16, what is f4 - -6?
fa
In base 3, what is 11021 + -12?
11002
In base 7, what is 20 + -2110?
-2060
In base 15, what is 4 - -49?
4d
In base 4, what is 102002 - 11?
101331
In base 12, what is 0 + -76?
-76
In base 8, what is -12 + 5013?
5001
In base 5, what is 3 - -3312?
3320
In base 2, what is -100000011 + -1?
-100000100
In base 6, what is 3 - 1432?
-1425
In base 14, what is 3 - -9?
c
In base 10, what is 807 + 1?
808
In base 6, what is 200 + 11?
211
In base 12, what is -1 - -154b?
154a
In base 6, what is -2 + 2145?
2143
In base 16, what is -2 + 485?
483
In base 11, what is 2 - 277?
-275
In base 3, what is 1 - -110001?
110002
In base 11, what is -66 + -37?
-a2
In base 14, what is 3a + 3?
3d
In base 12, what is 0 + 144?
144
In base 9, what is 6 + -2040?
-2033
In base 5, what is 231 - -143?
424
In base 5, what is 2102 - -2?
2104
In base 15, what is d - 18?
-a
In base 3, what is 22 + 10001?
10100
In base 16, what is -5 + -b?
-10
In base 8, what is -101 + 133?
32
In base 8, what is 4 - -73?
77
In base 6, what is 3312 - 5?
3303
In base 14, what is 1 - 0?
1
In base 11, what is 0 + -246?
-246
In base 13, what is -5 - 28?
-30
In base 14, what is d0 + -5?
c9
In base 14, what is 75 - 5?
70
In base 12, what is 288 - -4?
290
In base 12, what is -27 - 24?
-4b
In base 8, what is 157 + 5?
164
In base 9, what is -227 + 2?
-225
In base 14, what is -1dc + -5?
-203
In base 8, what is 1 - 554?
-553
In base 7, what is 545 - -1?
546
In base 5, what is 10 - 4212?
-4202
In base 2, what is -11 - 100100101101?
-100100110000
In base 15, what is -1 - -9?
8
In base 8, what is -737 - -4?
-733
In base 3, what is -222 - -22?
-200
In base 5, what is -343 + 1?
-342
In base 10, what is 720 + -8?
712
In base 8, what is 2 + 301?
303
In base 10, what is 0 - -50?
50
In base 7, what is 61466 - -1?
61500
In base 11, what is -3 - -1a6?
1a3
In base 15, what is -4 + 83?
7e
In base 7, what is -65 + -111?
-206
In base 16, what is -13 - 0?
-13
In base 8, what is -106 + 3?
-103
In base 14, what is 0 + -7db?
-7db
In base 3, what is 1012222 - 110?
1012112
In base 11, what is 1600 - -3?
1603
In base 7, what is -6123 + -3?
-6126
In base 12, what is 1 + -37?
-36
In base 5, what is 1001 + 13?
1014
In base 4, what is -33020 + -11?
-33031
In base 4, what is 11320 + 3?
11323
In base 11, what is 5 + -52?
-48
In base 2, what is 111 - 1001001101?
-1001000110
In base 5, what is 141 - 4?
132
In base 11, what is -67 + -11?
-78
In base 15, what is -59 - -8?
-51
In base 15, what is a3 + -33?
70
In base 16, what is a + 2c?
36
In base 15, what is -5d + -44?
-a2
In base 14, what is 2 - -534?
536
In base 10, what is -23 - 61?
-84
In base 15, what is -10 + 1?
-e
In base 10, what is -69 - 1?
-70
In base 16, what is 5 + 164?
169
In base 7, what is -126 + -3?
-132
In base 6, what is 445 - 0?
445
In base 13, what is 37 + -b?
29
In base 2, what is -11110111 + -11?
-11111010
In base 8, what is 4 + 16?
22
In base 5, what is 404002 - 0?
404002
In base 13, what is -a7 + 10c?
35
In base 11, what is 56 - -300?
356
In base 5, what is -2 - 102?
-104
In base 15, what is 13 - 4?
e
In base 10, what is -46 + -1?
-47
In base 14, what is 1d - 74?
-55
In base 11, what is -3471 + -4?
-3475
In base 7, what is 245 - 100?
145
In base 8, what is 0 - 126?
-126
In base 7, what is 3150 + -14?
3133
In base 8, what is 1503 + 3?
1506
In base 5, what is 33434 - 10?
33424
In base 4, what is -30 + -11?
-101
In base 14, what is -93 - -a?
-87
In base 14, what is -2b + -5?
-32
In base 5, what is 120 - -34?
204
In base 13, what is -17 + -6?
-20
In base 14, what is -5 - 233?
-238
In base 4, what is 1300 + -203?
1031
In base 10, what is 1 + -114?
-113
In base 5, what is -32 + -12?
-44
In base 11, what is -480a + 0?
-480a
In base 2, what is -1000111 + -101?
-1001100
In base 15, what is 2 + 28?
2a
In base 2, what is 101 - 11011100?
-11010111
In base 6, what is -3 - -45?
42
In base 2, what is 101 + 10111000111?
10111001100
In base 16, what is -4 + -36?
-3a
In base 9, what is 5 + 585?
|
{
"pile_set_name": "DM Mathematics"
}
|
(g))?
-20*g**2
Let y(c) be the third derivative of c**5/30 + 3*c**2. Let n(p) be the third derivative of -9*p**2 - 1/30*p**5 + 0 + 0*p + 0*p**4 + 0*p**3. Give y(n(l)).
8*l**4
Let x(m) be the second derivative of 7*m**3/3 - 1524*m. Let i(h) = 10*h. Let l(q) = q. Let z(v) = -i(v) + 8*l(v). Give x(z(n)).
-28*n
Let y(m) = -104*m - 46*m - 47*m + 50*m. Let d(i) = -i. What is y(d(o))?
147*o
Let h(c) = 9*c. Let r(z) = -3*z - 5. Let x(l) = l + 1. Let n(s) = 9*s + 8. Let p be n(-1). Let k(i) = p*r(i) - 5*x(i). What is k(h(a))?
-18*a
Let o be (4302/(-4))/(12/(-32)). Let z(d) = -5*d**2 + 2868 - o. Let k(l) = 8*l. Calculate z(k(h)).
-320*h**2
Let w(q) = -7*q**2 - 18*q + 6. Let t(x) = 21*x**2 + 53*x - 17. Let k(a) = -6*t(a) - 17*w(a). Let f(y) = y**2. What is k(f(l))?
-7*l**4 - 12*l**2
Let h(r) = 11762*r - 108*r**2 - 11762*r. Let i(u) = -3*u. Give h(i(z)).
-972*z**2
Let i(z) = -20606 - 2*z + 20606. Let u(m) = m**3 + 4*m**2 + 2*m - 1. Let k be u(-3). Let y(w) = 0*w**k + 0*w**2 - w**2. Determine i(y(g)).
2*g**2
Let c(w) = 530411 - 530411 + 213*w. Let z(q) = -q**2. Give c(z(u)).
-213*u**2
Let u(k) = -k**2. Let t(a) = -143 + 74 + 70 - 4*a**2. What is t(u(j))?
-4*j**4 + 1
Let x(l) be the second derivative of -1/6*l**4 - 23*l + 0*l**2 + 0 + 0*l**3. Let y(k) = -k**2. Give y(x(f)).
-4*f**4
Let h(m) = -9*m + 2. Let l(s) = 48*s**2 + 6. What is l(h(q))?
3888*q**2 - 1728*q + 198
Let i(p) = -2*p**2. Let w(j) = -8*j + 4. Let b(r) = 1. Let c(u) = 2. Let m(x) = 6*b(x) - 5*c(x). Let h(f) = -4*m(f) - 4*w(f). Calculate i(h(v)).
-2048*v**2
Let h(q) = -2*q**2 - q + 25217. Let p(o) = -o. What is h(p(d))?
-2*d**2 + d + 25217
Let g(p) = -8*p - 5278. Let s(j) = j**2. Give s(g(u)).
64*u**2 + 84448*u + 27857284
Let v(b) = -12*b - 72. Let t(s) = s**2 - s - 6. Let x(n) = -12*t(n) + v(n). Let p(o) = -15*o. What is x(p(k))?
-2700*k**2
Let v(h) = 43*h. Let c(z) be the third derivative of 0 + 0*z - 1/12*z**4 - z**2 + 0*z**3. Determine v(c(r)).
-86*r
Let f(q) = -168011*q. Let z(w) = 3*w. Calculate z(f(b)).
-504033*b
Let j(d) = -231*d**2 - 63. Let s(w) = -23*w**2 - 6. Let o(a) = 2*j(a) - 21*s(a). Let p(n) = -3*n**2. Give o(p(u)).
189*u**4
Let u(j) = 2*j**2. Let r(d) = 1 + 0*d + d**2 - 4*d - 4*d - 9. Let o be r(9). Let f(y) = -y**2 + 0 - 1 + o. What is f(u(v))?
-4*v**4
Let y(z) = -4*z + 5. Let u(k) = 5*k - 6. Let h(i) = -5*u(i) - 6*y(i). Let j(g) = -9*g + 6. Let q(s) = -19*s + 13. Let a(f) = -13*j(f) + 6*q(f). What is a(h(w))?
-3*w
Let k(i) = -332*i**2. Let q(n) = -1899*n. Determine k(q(z)).
-1197258732*z**2
Let w(q) = -172*q**2. Let b(f) = 11*f**2 - 18*f + 9. Let u(s) = -5*s**2 + 8*s - 4. Let l(c) = 4*b(c) + 9*u(c). Determine w(l(m)).
-172*m**4
Let u(i) = -59*i. Let k(q) = 2301*q. Let h(j) = -3*k(j) - 118*u(j). Let p(v) be the third derivative of v**5/60 + 4*v**2. Give p(h(n)).
3481*n**2
Let v(l) = 5*l**2 - 3*l - 3. Let k(j) = 2*j**2 - j - 1. Let g(n) = 3*k(n) - v(n). Let q(x) be the second derivative of 5*x**3/3 - x. Give q(g(c)).
10*c**2
Let m(w) = -6*w**2. Let h(t) = -12*t + 37. Let f(s) = -7*s + 19. Let a(l) = -5*f(l) + 3*h(l). What is a(m(v))?
6*v**2 + 16
Let j(g) = -g. Let t(k) = -146*k**2 + 16*k. Let i(o) = -97*o**2 + 10*o. Let q(l) = -8*i(l) + 5*t(l). Determine q(j(u)).
46*u**2
Let b(r) = 2*r - 2091. Let v(c) = 2*c. Calculate b(v(j)).
4*j - 2091
Let u(f) = 9*f**2. Let t(o) = -98*o**2 + 4. Calculate u(t(r)).
86436*r**4 - 7056*r**2 + 144
Let o(q) = -1 + 1 + 5*q - 149*q - 29*q. Let t(w) = -w. Give o(t(b)).
173*b
Let t(b) be the second derivative of -19*b**4/6 - 4*b - 16. Let c(s) = -3*s**2. Give c(t(p)).
-4332*p**4
Let n(q) be the second derivative of -17*q**4/12 - 3*q**2/2 - 5*q - 15. Let i(l) = 8*l**2. Calculate i(n(b)).
2312*b**4 + 816*b**2 + 72
Let o(t) = 168256*t. Let c(d) = 3*d. Give o(c(u)).
504768*u
Let c = 20 - 42. Let y = c - -25. Let a(r) = 28*r - y*r**2 - 28*r. Let g(w) = -w. What is a(g(m))?
-3*m**2
Let g(k) = 5005*k. Let a(t) = 8*t. Calculate g(a(h)).
40040*h
Let k(c) = -c**2. Let t(j) be the third derivative of j**4/24 + 23*j**3/6 + 275*j**2 - 2*j. What is k(t(s))?
-s**2 - 46*s - 529
Let j(x) = x. Let h(g) = 0*g**2 + 47 - 47 + 2*g**2 - 71*g**2. Calculate j(h(o)).
-69*o**2
Let b(x) be the first derivative of 2*x**3/3 - 338. Let u(p) = 79*p**2. Calculate u(b(w)).
316*w**4
Let g(r) be the second derivative of r**3/6 + 290*r + 1. Let s(w) = -w - 563. What is s(g(m))?
-m - 563
Let x(j) = -j**2. Let v(u) = -5*u**3 + u**2 + u. Let o be v(-1). Suppose 45 - 10 = o*k + w, -3*k = -w - 13. Let f(i) = k*i + 0*i - 4*i. What is x(f(b))?
-4*b**2
Let f(y) = -6*y**2. Let p(v) be the first derivative of 0*v + 0*v**2 - 17 + 4/3*v**3. Calculate p(f(q)).
144*q**4
Let o(v) be the first derivative of -4*v**3/3 + 418. Let r(l) = l**2 - 3*l. Determine r(o(k)).
16*k**4 + 12*k**2
Let r(a) = -12*a**2. Let u(x) = 47*x**2 + 822. Calculate u(r(c)).
6768*c**4 + 822
Let d(z) = -z**2 + 15*z - 26. Let x be d(13). Let n(c) = -c**2 - 2*c. Let t be n(x). Let r(h) = -3*h + t*h + h + h. Let i(w) = -23*w. What is i(r(m))?
23*m
Let l(s) = 6*s**2. Let a(x) = 2*x + 3. Let o be a(6). Let w(j) = 20*j. Let t(p) = 3*p. Let u(h) = o*t(h) - 2*w(h). What is u(l(c))?
30*c**2
Let w(x) = 2*x. Let r(k) be the first derivative of -k**5/120 - 2*k**3/3 + 11. Let v(p) be the third derivative of r(p). Determine v(w(n)).
-2*n
Let s(m) = 234*m**2 - 475*m**2 + 239*m**2. Let r(f) = -23*f. Give r(s(k)).
46*k**2
Let a(p) = 6*p**2. Let l(x) = 4*x + 2. Let t be l(2). Let u = -8 + t. Let n(w) = 0*w**2 + 3*w**2 - 2*w**u. What is n(a(k))?
36*k**4
Let v(b) = 7*b**2. Let f(c) be the first derivative of 0*c + 14 - 1/2*c**2. What is v(f(k))?
7*k**2
Let c(k) = 5*k**2. Let d(w) be the first derivative of 40*w**3/3 - 471. Calculate c(d(y)).
8000*y**4
Let g(x) be the second derivative of x**3 + 2*x. Let r(b) = 103*b - 96*b - 4*b. What is r(g(u))?
18*u
Let o(s) = 19*s**2 - 2*s. Let g(l) = 3553*l. Calculate o(g(b)).
239852371*b**2 - 7106*b
Suppose 6*z - 4*z + 5*a - 19 = 0, 2*a = 3*z. Let c(j) = j**z + 0*j + 0*j**2 + 0*j. Let q(m) be the second derivative of m**3 - 3*m. Calculate c(q(o)).
36*o**2
Let t(x) = 286*x + 33. Let m(s) = -44*s - 5. Let b(u) = 33*m(u) + 5*t(u). Let d(n) be the third derivative of n**5/30 + 74*n**2. What is b(d(y))?
-44*y**2
Let t(f) = 1 - 4*f - 1. Let v(x) be the first derivative of 3*x**2/2 + 20. Calculate t(v(l)).
-12*l
Let i(o) = -4*o. Let x = 14 - 9. Suppose 13 = 4*p + x. Let a(t) = -5*t - 2 + p + 4*t. Determine i(a(u)).
4*u
Let t(k) = 13*k. Let h be (286/(-55))/(2/(-5)). Let n(v) = -52*v. Let u(s) = h*t(s) + 3*n(s). Let w(f) = 3*f**2. Calculate w(u(p)).
507*p**2
Let h(i) = 870 - 870 - 6*i. Let l(w) = 5*w**2 + 4*w. Determine h(l(v)).
-30*v**2 - 24*v
Let y = 151 + -144. Let h(k) be the first derivative of -5/3*k**3 + 0*k**2 + 0*k - y. Let z(p) = 4*p. Calculate z(h(v)).
-20*v**2
Let g be 48/9 + (-4)/3 - 2. Let a(q) = 3*q**g - 2 + 14 - 12. Let v(k) = -3*k. Give v(a(j)).
-9*j**2
Let y(m) = -36283*m**2. Let f(n) = 30*n**2. What is f(y(s))?
39493682670*s**4
Let b(s) = 304 - s**2 - 304 - s**2. Let g(i) = -5*i + 15*i - i + 11*i. Determine b(g(f)).
-800*f**2
Let o(r) be the third derivative of 71*r**5/30 + 2*r**2 - 11*r. Let j(y) = -4*y. Determine j(o(z)).
-568*z**2
Let k(x) = -x**2 + x. Let n(b) = -4*b**2 + 2*b. Let m(d) = -6*k(d) + 3*n(d). Let r(a) = -17*a**2. Determine r(m(v)).
-612*v**4
Let v(x) = -23*x. Let g(c) be the first derivative of -c**3/3 - 3. Give v(g(m)).
23*m**2
Let s(i) = 28*i**2 - 95*i**2 + 40*i**2. Let h(d) = 20*d. Determine s(h(m)).
-10800*m**2
Let u(w) = -w. Let v(o) = 44*o**2 - 76*o**2 + 68*o**2. What is v(u(h))?
36*h**2
Let q(w) = -32*w**2 - 4442. Let a(y) = y**2. Determine q(a(k)).
-32*k**4 - 4442
Let i(t) = 17*t**2. Suppose -5*m + 29 = -0*m + 3*s, 3*s - 22 = -4*m. Let x(n) = 11*n - 3*n - m*n. Determine x(i(y)).
17*y**2
Let a(r) be the first derivative of -7*r**4/12 + 9*r - 8. Let d(k) be the first derivative of a(k). Let b(h) = h**2. Determine b(d(i)).
49*i**4
Let v = 0 + 5. Let w(o) = o**2 - 11*o**2 + v*o**2. Let t(h) = -5*h**2. What is w(t(q))?
-125*q**4
Let t(v) = -111*v**2 + 926*v - 926*v. Let f(g) = -2*g. Determine t(f(c)).
-444*c**2
Let j(f) = f**2. Suppose 7*w = 4*w + 12. Let s(y) = y**2 - 2*y - 4. Let c be s(w). Let a(l) = 10 - c*l**2 - 10. Give j(a(m)).
16*m**4
Let r(n) = 2*n. Let q(l) be the se
|
{
"pile_set_name": "DM Mathematics"
}
|
po. What is prob of picking 1 p and 1 s?
9/91
Two letters picked without replacement from mepkekj. What is prob of picking 1 m and 1 e?
2/21
What is prob of picking 1 e and 1 q when two letters picked without replacement from epwewqwepes?
4/55
What is prob of picking 1 v and 2 i when three letters picked without replacement from {v: 2, i: 5, c: 4}?
4/33
Three letters picked without replacement from pupppppppuupppp. Give prob of picking 1 p and 2 u.
36/455
Two letters picked without replacement from rhduuuhhmhuhh. Give prob of picking 1 u and 1 m.
2/39
Two letters picked without replacement from {k: 1, o: 11, p: 2}. What is prob of picking 1 k and 1 o?
11/91
What is prob of picking 3 s when three letters picked without replacement from {o: 2, e: 1, v: 1, s: 4, r: 7, p: 4}?
4/969
What is prob of picking 1 q and 1 h when two letters picked without replacement from {d: 10, u: 2, q: 3, h: 1}?
1/40
Two letters picked without replacement from rotwrtstwtttwtow. Give prob of picking 1 w and 1 s.
1/30
Calculate prob of picking 1 i, 1 t, and 1 y when three letters picked without replacement from {j: 2, y: 4, r: 2, i: 2, t: 1, s: 3}.
2/91
Three letters picked without replacement from emkkmmk. Give prob of picking 1 e and 2 k.
3/35
Calculate prob of picking 1 t and 1 w when two letters picked without replacement from {t: 8, w: 5, q: 3}.
1/3
What is prob of picking 2 k, 1 a, and 1 j when four letters picked without replacement from {q: 1, a: 1, j: 1, k: 1, y: 1}?
0
Four letters picked without replacement from {a: 8, l: 2, b: 4}. What is prob of picking 2 a and 2 b?
24/143
Calculate prob of picking 3 v when three letters picked without replacement from {v: 9, g: 9}.
7/68
What is prob of picking 1 j and 3 v when four letters picked without replacement from {v: 17, j: 2}?
20/57
Two letters picked without replacement from {t: 1, v: 3, r: 1, p: 3, z: 6}. Give prob of picking 2 v.
3/91
Two letters picked without replacement from iicwwww. Give prob of picking 2 w.
2/7
Calculate prob of picking 1 t and 1 d when two letters picked without replacement from tydyddtyttddtxtt.
7/24
Three letters picked without replacement from yybsbrqz. What is prob of picking 2 b and 1 s?
1/56
Four letters picked without replacement from {l: 2, q: 9}. What is prob of picking 4 q?
21/55
Calculate prob of picking 1 g and 2 v when three letters picked without replacement from uuvuvgvgvvg.
2/11
What is prob of picking 4 e when four letters picked without replacement from eaaaaeaeaaaaaaeaaa?
1/3060
Calculate prob of picking 2 e when two letters picked without replacement from bobobyooeyyyzoeoyy.
1/153
Calculate prob of picking 2 l and 1 d when three letters picked without replacement from jkdjlyjjjdjbblylkb.
1/136
Three letters picked without replacement from {y: 4, e: 1, b: 3}. What is prob of picking 1 e and 2 b?
3/56
Two letters picked without replacement from {g: 1, h: 1, f: 1}. Give prob of picking 1 g and 1 f.
1/3
Three letters picked without replacement from wbbppzpbzbzzbbwppb. Give prob of picking 2 b and 1 w.
7/136
Three letters picked without replacement from ywwwwyywwww. What is prob of picking 3 w?
56/165
What is prob of picking 1 c and 1 s when two letters picked without replacement from {s: 9, c: 5}?
45/91
Calculate prob of picking 1 t, 1 a, and 1 s when three letters picked without replacement from {s: 4, a: 1, k: 1, j: 2, m: 2, t: 2}.
2/55
Two letters picked without replacement from llwllywyl. Give prob of picking 2 l.
5/18
Two letters picked without replacement from otttototnttytltotln. What is prob of picking 1 l and 1 y?
2/171
Two letters picked without replacement from {j: 1, d: 1, e: 1, l: 1, x: 1}. What is prob of picking 1 e and 1 x?
1/10
What is prob of picking 1 q and 2 b when three letters picked without replacement from {b: 7, v: 7, q: 4}?
7/68
Four letters picked without replacement from {o: 2, z: 5, u: 1, k: 4, b: 4, q: 4}. Give prob of picking 1 u, 2 q, and 1 o.
4/1615
Two letters picked without replacement from gdggrrxg. Give prob of picking 1 g and 1 d.
1/7
What is prob of picking 1 r and 1 a when two letters picked without replacement from {e: 5, q: 1, w: 6, r: 2, a: 1, k: 1}?
1/60
What is prob of picking 3 w when three letters picked without replacement from {w: 4, g: 3}?
4/35
Calculate prob of picking 1 j and 1 l when two letters picked without replacement from ajolaoaoocta.
1/66
What is prob of picking 1 x and 1 n when two letters picked without replacement from {n: 7, x: 7}?
7/13
Calculate prob of picking 2 z when two letters picked without replacement from czvzczcczccmccccm.
3/68
Four letters picked without replacement from {r: 3, h: 5, o: 2}. What is prob of picking 2 r and 2 o?
1/70
Two letters picked without replacement from {y: 2, h: 1, p: 2, j: 1, i: 1}. Give prob of picking 1 h and 1 j.
1/21
Two letters picked without replacement from {b: 1, y: 3, x: 3}. What is prob of picking 1 y and 1 b?
1/7
What is prob of picking 1 u, 1 a, and 1 w when three letters picked without replacement from aauxwaaaaaawhea?
18/455
Calculate prob of picking 3 f when three letters picked without replacement from fffzzzzzqzffz.
5/143
Two letters picked without replacement from bbbybbbbbybbb. Give prob of picking 2 y.
1/78
Four letters picked without replacement from cjvjesevpvssevjvs. Give prob of picking 2 s, 1 c, and 1 p.
3/1190
Four letters picked without replacement from qddtdqqqjjoodd. What is prob of picking 2 o and 2 d?
10/1001
Two letters picked without replacement from {r: 2, u: 3, y: 2, e: 5}. What is prob of picking 1 r and 1 u?
1/11
Three letters picked without replacement from {a: 2, j: 1, c: 2, s: 1, g: 7, q: 1}. What is prob of picking 2 g and 1 a?
3/26
What is prob of picking 1 e and 2 z when three letters picked without replacement from {z: 9, e: 2}?
24/55
Four letters picked without replacement from hehhhhhheh. Give prob of picking 3 h and 1 e.
8/15
Calculate prob of picking 1 y, 1 j, and 1 b when three letters picked without replacement from jybjyb.
2/5
What is prob of picking 1 x and 2 b when three letters picked without replacement from {x: 3, e: 1, b: 5, p: 7}?
3/56
What is prob of picking 1 u, 1 d, 1 e, and 1 a when four letters picked without replacement from {h: 1, a: 3, d: 3, r: 2, e: 2, u: 4}?
24/455
Calculate prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, x: 1, q: 2, h: 2}.
2/15
Calculate prob of picking 1 b and 1 f when two letters picked without replacement from fnbf.
1/3
Two letters picked without replacement from {c: 1, m: 6, b: 7, n: 1}. Give prob of picking 1 n and 1 b.
1/15
Calculate prob of picking 1 a and 1 f when two letters picked without replacement from gfagrff.
1/7
Four letters picked without replacement from {s: 1, e: 5, g: 5}. Give prob of picking 1 s and 3 e.
1/33
Calculate prob of picking 1 c and 1 l when two letters picked without replacement from clcclclllcllcccllllc.
99/190
Three letters picked without replacement from {z: 2, v: 10, q: 3}. What is prob of picking 2 q and 1 v?
6/91
Three letters picked without replacement from eeoooeeoloo. Give prob of picking 1 e and 2 o.
4/11
Calculate prob of picking 2 x and 2 c when four letters picked without replacement from cxxxcxxcxx.
3/10
Three letters picked without replacement from {k: 2, c: 5, z: 7}. What is prob of picking 3 c?
5/182
What is prob of picking 1 p and 1 a when two letters picked without replacement from paapaaaa?
3/7
What is prob of picking 2 v when two letters picked without replacement from {v: 7}?
1
Three letters picked without replacement from {g: 6, o: 1, j: 3, m: 2}. What is prob of picking 2 g and 1 o?
3/44
Two letters picked without replacement from {m: 7, c: 3, j: 7, y: 2}. Give prob of picking 1 y and 1 m.
14/171
Two letters picked without replacement from {i: 6, a: 1, j: 5, u: 2, p: 2, s: 1}. What is prob of picking 1 s and 1 j?
5/136
Three letters picked without replacement from {a: 4}. Give prob of picking 3 a.
1
Two letters picked without replacement from {o: 2, d: 2, k: 5}. What is prob of picking 1 o and 1 k?
5/18
Two letters picked without replacement from {d: 2, l: 16}. Give prob of picking 2 l.
40/51
Three letters picked without replacement from {a: 12, j: 7}. What is prob of picking 2 a and 1 j?
154/323
|
{
"pile_set_name": "DM Mathematics"
}
|
c = 14. Let h(v) = -v**3 + 5*v**2 - 3*v + 4. Calculate h(n).
13
Let l be (214/642)/(-2*2/(-4)). Let j(s) be the third derivative of -1/120*s**6 + 0*s + 18*s**2 + l*s**3 + 0*s**5 + 0*s**4 + 0. Give j(0).
2
Let z(j) = 5*j**2 - 2*j + 2. Let u(v) = -48*v**2 + 18*v - 26. Let a(q) = u(q) + 10*z(q). Give a(-5).
54
Let s(c) = c**2 - 8*c + 25. Let k = 67 + -61. Let m be s(k). Let y(v) = v**3 - 11*v**2 - 27*v + 10. Let i be y(m). Let n(q) = -q**2 - 1. Calculate n(i).
-10
Let k(c) = -6*c**2 - 2*c + 3. Let m(h) = 11*h**2 + 3*h - 5. Let l(g) = -5*k(g) - 3*m(g). Suppose -19 = 7*x - 33. Suppose 7*y - 5 = x. What is l(y)?
-2
Let b(r) be the third derivative of r**6/120 - r**5/5 - r**4/2 - 5*r**3/6 + 645*r**2. Suppose 66 = 5*t - z, 21*t + 3*z - 10 = 20*t. Calculate b(t).
8
Let q(x) = 2*x**2 + 11*x + 8. Suppose 11 = 6*j + 72 - 31. What is q(j)?
3
Let w be 15/20 - 225/(-20). Let d(y) = -y**3 + 11*y**2 + 11*y + 14. Let n be d(w). Let u(r) = -7*r - n*r - 2 + 7*r - r. Calculate u(3).
-11
Let o(u) = u**2 - 2*u**3 + 5*u**2 - 1 + 575*u - 1143*u + 567*u - 2*u**2. Determine o(2).
-3
Let t(u) = 32*u**2 - 21798*u + 21796*u - 30*u**2 - 47. Determine t(0).
-47
Let s(i) be the second derivative of -3*i**5/4 + i**4/6 - i**2/2 + 1555*i. What is s(-1)?
16
Suppose 8*o + 17 = 9. Let u(t) be the first derivative of t**3/3 - 2*t**2 + 2*t - 1. Let n(r) = 2*r**2 - 5*r + 3. Let a(y) = 3*n(y) - 4*u(y). Calculate a(o).
2
Let z(v) = 38*v**2 - v - 5. Let n(l) = -l**3 + 17*l**2 + 19*l - 1. Let j be n(18). Let m(b) = 113*b**2 - 3*b - 14. Let g(c) = j*z(c) - 6*m(c). Calculate g(1).
-32
Let f(j) = 2*j + 1. Let s = 99 - 71. Let u be (1 + 2)/(s/30 - 1). Let r = u - -48. Determine f(r).
7
Let z(l) = 24 - 61*l - 3 + 23*l + 20*l + 16*l. Calculate z(19).
-17
Let n(z) = 10*z**2 + 21*z + 13. Let d(k) = -2*k**2 - k + 3. Let l(p) = 4*d(p) + n(p). Give l(-6).
-5
Let b(a) = -57*a + 1095. Let s be b(19). Let x(y) = -y**3 + 13*y**2 - 11*y - 27. Give x(s).
-15
Let p(r) be the third derivative of -11*r**4/24 - r**3/6 + 3*r**2 + 98. Determine p(-1).
10
Let x(p) = 4*p**3 - 33*p - 37. Let g(f) = 11*f**3 - 6*f**2 - 101*f - 109. Let h(b) = -3*g(b) + 8*x(b). Calculate h(20).
11
Let w(y) = -y**3 + y**2 + 3*y - 3. Let v = 255 - 251. Suppose -v*l - 2*l = -18. Calculate w(l).
-12
Let v(a) be the third derivative of a**5/60 - 5*a**4/12 - 7*a**3/6 - 10957*a**2. Calculate v(11).
4
Let q(l) be the first derivative of 1/2*l**2 - 6 + 10*l. Let b = 13 + -20. What is q(b)?
3
Suppose -44*p = -38*p + 738. Let l = p + 117. Let h(i) = i**2 + 7*i + 15. Give h(l).
9
Let y(f) = 61 - 2*f - 6 + 7 - 2*f + f. Calculate y(21).
-1
Let q(z) = -6*z + 1. Let c be 159/(-4) - (27/(-12))/3. Let y be 2*(c/(-6))/(-13). Give q(y).
7
Let c(w) = 539 - 99 + 346359*w - 346408*w. Give c(9).
-1
Let n(d) = -d**2 - 8*d - 4. Let w(j) = 4*j + 41. Let o be w(-11). Let s(f) = 6*f**2 - 4*f - 16. Let k be s(o). Suppose -k + 15 = 5*q. What is n(q)?
3
Suppose -z + 18 = -5. Suppose 3*j = -2*p + z, -26 = -3*j + 5*p + 11. Let d(y) = -j - 7*y + 8 + 4*y. What is d(2)?
-7
Let g(y) = 48*y - 18. Let z(n) = -74*n + 32. Let r(s) = 8*g(s) + 5*z(s). What is r(-3)?
-26
Let s(g) be the second derivative of g**4/8 + 5*g**3/6 + 38*g**2 + 14*g + 3. Let w(d) be the first derivative of s(d). What is w(5)?
20
Let s = -652 + 654. Let g be (10/4)/((-1)/s). Let w(n) = n**2 - n - 27. Determine w(g).
3
Let h(o) = -19*o - 16. Let z be h(-1). Let b(f) = 7*f**2 + 9*f**2 - 3*f**2 + 4*f - f**2 + 8*f + 10 + f**z. Calculate b(-11).
-1
Suppose 14*x - 19*x - 4*v - 45 = 0, -x - 9 = 2*v. Let c(b) = -b**3 - 9*b**2 + b + 15. Determine c(x).
6
Let h(s) = -4*s**2 - 77*s + 62. Suppose 108 = -5*u - 388*b + 384*b, u + b + 22 = 0. Give h(u).
2
Let s(y) = 2*y + 1. Suppose 19 - 59 = -8*u. Let a be (1 + u/(-10))/(4/72). Suppose -c + a = -4*m - 11, 3*c + 8 = -5*m. Calculate s(c).
9
Let b(u) = 2*u**2 - 21*u - 22. Let v be b(-1). Let q(g) = -2. Let k(n) = -n + 9. Let h(z) = v*k(z) + 2*q(z). Determine h(0).
5
Let u(q) = q**2 + 7*q - 28. Let j(g) = 72*g - 513. Let t be j(7). What is u(t)?
-10
Suppose -10*i = 627 + 623. Let p = 141 + i. Let t(l) = p*l - 11*l + l**2 - 3 - 10*l. Give t(3).
-9
Let y(d) = d**2 - 8*d + 4. Suppose 6*r + 1410 = 3*r. Let c be (0 - r/15)*3. Let s = 99 - c. What is y(s)?
-11
Let k(a) = a**2 - 10*a + 11. Let r be (-1250)/(-14)*-1 - 12/(-42). Let d = r + 118. Let j = d + -20. Give k(j).
2
Suppose -92 = 18*s + 160. Let t(n) = -n**2 - 8*n + 11. Determine t(s).
-73
Let s be (-25)/(((-2)/8)/((-5)/4)). Let q = s - -132. Suppose q*m + 2*m = -99. Let i(r) = -r**3 - 10*r**2 + 12*r + 15. Determine i(m).
4
Let h(d) = d + 2. Let u be 8/(-1*(-1)/(-4)). Let n be ((-16)/20)/(36/(-1170)). Let c = u + n. Calculate h(c).
-4
Let c(y) = -y**2 - y + 38. Let r(a) = -a**3 - 9*a**2 - a - 451. Let f be r(-12). What is c(f)?
-4
Let d(v) = 21 + 16 - 34 + 5*v. Suppose 2*z - z + y + 7 = 0, -2*z - 10 = y. Let q(i) = -9*i - 6. Let h(c) = z*q(c) - 5*d(c). Determine h(-2).
-1
Let n(r) be the third derivative of r**6/120 - r**5/10 - 3*r**4/4 + 11*r**3/6 - 3811*r**2. What is n(8)?
-5
Let k(t) = -8*t + 33. Let j(x) = 3*x - 17. Let l(y) = -2*j(y) - k(y). Give l(-5).
-9
Let i = 13231 - 13229. Let r(d) = -d**3 - d**2 + 2*d - 2. What is r(i)?
-10
Suppose -42 = -4*l - c - 4, 47 = 5*l + c. Let h(q) = 208*q - 67*q - l - 72*q - 70*q. Determine h(11).
-20
Let o = -40 + 115. Let b = o + -163. Let a = 84 + b. Let m(n) = n**3 + 4*n**2 + n - 1. Calculate m(a).
-5
Let h(o) be the second derivative of o**4/12 - 11*o**3/6 + 15*o**2 + 179*o + 1. What is h(7)?
2
Suppose -9784*h + 9767*h = 17. Let v(l) = 9*l**3 - 2*l**2 - 3*l - 2. Determine v(h).
-10
Let f(p) = p**2 - 72 + 194 - 4*p**2 - 5*p**2 - 60 + p**3 - 63. Let q(u) = 3*u - 1. Let j be q(3). Calculate f(j).
-1
Suppose 0 = -7*t + 5 + 16. Let s(f) = -t*f - 24 + 2*f**2 - f**2 - 13 + 38. Determine s(4).
5
Let b be -3 - (366/(-66) + 12/22). Let i(d) be the first derivative of 1/2*d**b - 2/3*d**3 + 3*d + 2. Give i(-3).
-18
Let c(w) = w**3 + 24*w**2 + 2*w + 73. Let g = -17058 + 17034. Determine c(g).
25
Let r(z) = -9*z**2 - 39 + 15 - 28*z - 14*z**3 + 3*z**3 - 41 + 10*z**3. Calculate r(-6).
-5
Let p(d) = -d**3 + 41*d**2 + 8*d - 339. Let m be p(41). Let g(w) = 3*w**2 + 31*w + 12. Give g(m).
34
Let j(d) be the third derivative of 2*d**2 + 0*d - 1/3*d**3 + 1/24*d**4 + 1/15*d**5 + 0. Let f(g) = 99*g - 1388. Let a be f(14). Determine j(a).
12
Suppose 5*m = 13*y - 11*y - 10, 0 = -3*y - 4*m - 8. Let x(f) be the second derivative of -1/3*f**3 + y + 5/2*f**2 + 5/12*f**4 - 1/20*f**5 - f. Calculate x(5).
-5
Let a(o) = -2*o + 5. Suppose 18 = -2*v - 5*t + 3, 4*v - 5*t = 45. Let m be -7 - (v + -5) - (1 + -4). Give a(m).
13
Let b = 6888 + -6891. Let o(q) = 15*q + 62. Determine o(b).
17
Let o(x) be the second derivative of x**5/20 + 5*x**4/6 + 96*x. Suppose 3*p - 69 + 99 = 0. Calculate o(p).
0
Let s(y) = -9*y - 1. Let t(p) = -2*p**2 - p. Suppose 25*j - 3 = u + 23*j, 4*j = -2*u + 2. Let k be t(u). What is s(k)?
8
Let a(x) be the first derivative of -x**4/4 + 5*x**3/3 - 7*x**2/2 + 8*x - 72124. Suppose -3*w + 19 = 4*p - 6*w, w = -1. Calculate a(p).
-4
Let q(o) = -8*o**2. Suppose -12 = 25*h - 29*h. Let w be h - (13 + -13 + (1 - -3)). Determine q(w).
-8
Let s(a) be the third derivative of -2*a**4/3 - 6*a**2. Let u(g) = 20*g - 21. Let c be u(0). Let o(b) = -5*b. Let i(q) = c*o(q) + 6*s(q). Calculate i(-2).
-18
Let r(w) = 19 - 10*w**2 - 8*w**2 + 16*w - 15 - 42*w + 16*w**2. Give r(-13).
4
Let l be 1/(1/4 + 25*(-3)/60). Let w(d) = 6*d + 11. Calculate w(l).
5
Let u(q) = q + 35827 + 35820 - 71648. Determine u(-5).
-6
Let a(c) = 31 - 8*c - c**2 - 9*c + 158 - 226. Determine a(-10).
33
Let l = -86 + 83. Let h = 9 - l. Suppose 0 = 4*a - h*a + 8. Let j(r) = -7*r**3 + 2*r - 1. What is j(a)?
-6
Let y(t) = -t**2 + 7*t - 5. Let u be y(5). Suppose 11 = u*r - 2*f, -f - 5 + 2 = 0. Let s(h) be the second derivative of h**4/6 + h**2/2 + 186*h. Give s(r).
3
Let u(s) be the first derivative of s**2 - 17*s + 3219. Calculate u(7).
-3
Let t(x) = 90 - 8 + 0*x - 8 - 4*x - 40. Calculate t(-8).
66
Let j be (-7)/385*215 + (-2)/22. Let u(m) = 7*m**2 + 19*m + 1. Calculate u(j).
37
Let n(w) = -5*w + 4. Let i(d) = 6*d - 6. Let p be i(-2). Let m = -18 - p. Suppose u - 2 + m = -q, 6 = -u - 3*q. Determine n(u).
-26
Let n = -76 + 94. Let v be (-31)/3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
Differentiate -189*g + 1 + 189*g + n*g**3 with respect to g.
18*g**2
Let m(s) be the first derivative of -87/2*s**2 + 44 + 0*s**3 + 0*s + 121/2*s**4. Find the second derivative of m(o) wrt o.
1452*o
Let k(d) = 7175*d**2 - 6331. Let o(b) = 1793*b**2 - 1584. Let a(q) = 6*k(q) - 23*o(q). Find the first derivative of a(s) wrt s.
3622*s
Suppose -8*r - 672 = 4*r. Let n be ((-48)/r)/(6/28). Find the second derivative of -10*w**4 - 20*w**4 + n*w**4 + 3*w**4 - 8*w wrt w.
-276*w**2
Let k(u) be the first derivative of -593*u**5/5 - u**3/3 + 397*u**2 - 401. What is the second derivative of k(m) wrt m?
-7116*m**2 - 2
Suppose 0 = 4*b + h - 55, 4*h + 24 = 4. Suppose 5*f = v - 5*v + b, 5*v - 24 = -f. What is the third derivative of -33*d**v + 66*d**5 - 18*d**5 + 6*d**2 wrt d?
900*d**2
Let p(w) be the third derivative of -22*w**7/105 + 13*w**4/12 - 1259*w**3/6 + 13*w**2 + 39*w. Find the first derivative of p(u) wrt u.
-176*u**3 + 26
Let w(u) = -u**3 - 16*u**2 + 15*u - 32. Let z be w(-17). Find the second derivative of 1 + 2*g - 5 - 3*g + 25*g**z + 2 wrt g.
50
Let d(h) be the second derivative of 2*h**6/15 - 23*h**5/4 - 2*h**3 + 3*h**2/2 + 2*h - 45. Find the second derivative of d(m) wrt m.
48*m**2 - 690*m
Find the second derivative of -16295*m + 32337*m - 16218*m + 191*m**4 + 2 wrt m.
2292*m**2
Let f(p) = 3*p + 46. Let a = -11 + -3. Let y be f(a). What is the second derivative of 8*o + 52*o**2 - 24*o**y - 52*o**2 wrt o?
-288*o**2
Let a(q) be the second derivative of -70*q + 0*q**5 + 0*q**4 - 5/3*q**6 - 50/3*q**3 + 0*q**2 + 0. Find the second derivative of a(f) wrt f.
-600*f**2
Let k be (-12 + (-700)/(-30))*(1 - -2). What is the second derivative of -12*i + 2 - 2 + 32*i - k*i**4 + 31*i**4 - 22*i**2 wrt i?
-36*i**2 - 44
Let o(b) be the second derivative of -1145*b**7/42 - b**4/12 - 315*b**3/2 - 554*b - 2. What is the third derivative of o(p) wrt p?
-68700*p**2
Let j(o) be the first derivative of 53*o**6/6 - 9*o**3 - 3465*o**2/2 + 166. What is the second derivative of j(p) wrt p?
1060*p**3 - 54
Find the second derivative of -n + 663*n**2 + 117*n + 15*n + 3100*n**2 - 186*n**2 wrt n.
7154
Suppose -9 - 45 = -2*p. Let c = -14 + 23. What is the second derivative of 8*m**3 + p*m + c*m**3 - 11*m**3 + 3*m**3 wrt m?
54*m
Let w(u) = 51*u**5 + 2735*u**2 + 18*u - 18. Let j(x) = 6*x**5 + 2*x**2 + 1. Let a(z) = -8*j(z) + w(z). Find the second derivative of a(o) wrt o.
60*o**3 + 5438
Let o(w) be the first derivative of -2477*w**6/6 - 1312*w**2 + 1925. Find the second derivative of o(y) wrt y.
-49540*y**3
Let o(i) = 2*i + 29. Let k(c) = 4*c + 58. Let s(p) = -3*k(p) + 5*o(p). Let h be s(-20). Find the second derivative of -7*m + h*m + 16*m**3 - 4*m**3 wrt m.
72*m
Let j(o) be the first derivative of -42*o**4 + 4*o**3/3 - o**2 - 4692*o + 15265. What is the first derivative of j(r) wrt r?
-504*r**2 + 8*r - 2
Let b(t) be the second derivative of 0 - 101*t + 109/6*t**4 - 37/5*t**6 + 0*t**2 + 0*t**5 + 0*t**3. What is the third derivative of b(w) wrt w?
-5328*w
Let s(p) = -276*p**3 + p + 2. Let n be s(-1). Let x = -2 + 4. Differentiate -n*q**x + 3 + 277*q**2 - 7*q**3 with respect to q.
-21*q**2
Let x(d) = -174*d**3 + 12*d**2 + 2139. Let c(l) = 2*l**4 - 523*l**3 + 42*l**2 + 6418. Let h(i) = 2*c(i) - 7*x(i). Differentiate h(b) with respect to b.
16*b**3 + 516*b**2
Find the first derivative of 5*o**2 + 31*o**2 + 0*o**2 + 2*o**2 - 5*o**2 + 4*o - 816 wrt o.
66*o + 4
Let u(f) be the first derivative of 1468*f**5/5 + 1082*f - 1850. What is the first derivative of u(i) wrt i?
5872*i**3
Let y(s) be the second derivative of 31*s**5/2 - s**3 - 1837*s**2/2 - 2946*s + 2. What is the first derivative of y(g) wrt g?
930*g**2 - 6
Let o(s) = 3*s**3 + 73*s**2 - 1047*s + 4. Let k(n) = -3*n**3 - 76*n**2 + 1046*n - 3. Let v(m) = 4*k(m) + 3*o(m). Find the second derivative of v(z) wrt z.
-18*z - 170
Let d(h) be the third derivative of -35/6*h**4 + 0*h + 126*h**2 + 0*h**5 - 11/120*h**6 + 0*h**3 + 0. Find the second derivative of d(l) wrt l.
-66*l
What is the third derivative of 189*d**6 + 637*d**6 - 75*d**6 - 157*d**2 + 132 + 126 - 259 wrt d?
90120*d**3
Let o(g) = -2480*g + 1739. Let b(s) = -4962*s + 3480. Let p(h) = -3*b(h) + 7*o(h). What is the first derivative of p(u) wrt u?
-2474
Let k = 115 - 112. Find the third derivative of k*g**2 + 8*g**4 + 12*g + 1220*g**3 - 1220*g**3 wrt g.
192*g
Suppose -3*d + 8752 - 1223 = 5*v, 6026 = 4*v + d. Find the second derivative of v*o**2 - 10*o - 2*o**3 - 1507*o**2 + 48*o**4 wrt o.
576*o**2 - 12*o
Let d(p) be the first derivative of 18*p**2 + 1941*p + 1954. Differentiate d(t) with respect to t.
36
Let h(p) be the second derivative of 383*p**3/3 + 1073*p**2/2 + 11*p + 7. Differentiate h(w) wrt w.
766
Let m(s) be the third derivative of -19/60*s**5 - 12*s**2 - 1/120*s**6 - 2 - 5/24*s**4 + 0*s**3 + 0*s. Find the third derivative of m(l) wrt l.
-6
Find the second derivative of -26 + 123*a + 6 + 477*a**4 - 301*a + 155*a + 372*a**4 wrt a.
10188*a**2
Let f be 1/(0/(-7) - 1/(-2)). What is the third derivative of 2*k**3 - 8*k**5 + 44*k**5 - 5 - 23*k**2 + 20*k**f wrt k?
2160*k**2 + 12
Suppose -5*p + 20 = -p. Suppose -4*n - 5*k + 12 = 0, 0*n - 2*n = -p*k - 6. Find the second derivative of -3*f**5 + n*f - 7*f - 8*f**5 wrt f.
-220*f**3
Let l(q) be the third derivative of -581*q**5/20 - q**4/12 - 491*q**3/6 - 5*q**2 - 36*q. Find the second derivative of l(f) wrt f.
-3486
Suppose -2*k + 45 = -5*j + 15, -2*k - j + 6 = 0. What is the second derivative of -47*h**5 + 38*h - 24*h**5 + 29*h**k wrt h?
-840*h**3
Let p(b) = 13*b**2 - 2*b - 1770. Let u(l) = -40*l**2 + 10*l + 5309. Let f(o) = -17*p(o) - 6*u(o). What is the derivative of f(z) wrt z?
38*z - 26
Find the second derivative of 286*z**2 + 9*z**3 - 146*z**2 - 75*z - 137*z**2 - z**3 wrt z.
48*z + 6
Let a(o) be the first derivative of 1264*o**5/5 + 44*o**3/3 - 106*o + 8249. Find the third derivative of a(r) wrt r.
30336*r
Let m(q) be the third derivative of -303*q**5/20 - 179*q**3/3 - 320*q**2 + 2*q. Differentiate m(f) wrt f.
-1818*f
Let w(m) be the second derivative of 99*m**8/56 + m**7/21 + 931*m**4/12 - 210*m. What is the third derivative of w(g) wrt g?
11880*g**3 + 120*g**2
Let x(d) = 55*d**3 + 99*d**2 - 99*d + 99. Let r(u) = -49*u - 50*u + 100*u - u**2. Let i(z) = 198*r(z) + 2*x(z). What is the first derivative of i(f) wrt f?
330*f**2
Let k(d) = 4*d**2 - 12 + d**3 - 14*d**2 + 2*d**2 + 9*d. Let h be k(7). What is the third derivative of 13*v**2 + 8*v**5 + 6*v**5 + 8*v**h wrt v?
840*v**2
Suppose 3986 = -5*p + 17886. Find the second derivative of -p*g**3 + 0 + 17*g + 2845*g**3 - 2 - g wrt g.
390*g
Let p(s) be the second derivative of 29*s**6/30 + 19*s**5/20 + s**4/6 + s**3/3 + 115*s**2/2 + 3473*s. What is the third derivative of p(x) wrt x?
696*x + 114
Let l(n) be the first derivative of 661*n**6/6 - n**4/2 - 116*n**3 + 2*n**2 + 4417. Find the third derivative of l(i) wrt i.
39660*i**2 - 12
Let z(v) be the second derivative of -857*v**5/20 + 817*v**3/6 + 2*v - 882. Find the second derivative of z(d) wrt d.
-5142*d
What is the second derivative of -11428*n + 5754*n - 31 - 9758*n**2 + 5682*n wrt n?
-19516
Let v(r) = 22*r**2 + 28*r - 239. Let l(j) = -15*j**2 - 21*j + 159. Let z(k) = -7*l(k) - 5*v(k). Find the second derivative of z(u) wrt u.
-10
What is the second derivative of -1 + 10*x - 7*x**3 + 62*x**3 + 26*x**3 - 31*x + 3*x**2 wrt x?
486*x + 6
What is the third derivative of 2*f**2 - 59*f**3 + 20*f**3 - 58*f**5 - 6*f**2 + 75*f + 24*f**3 wrt f?
-3480*f**2 - 90
Let n(d) be the second derivative of 239*d**6/6 - d**3/3 - 329*d**2 - 45*d. What is the second derivative of n(h) wrt h?
14340*h**2
Let i = 470 - 468. What is the second derivative of 5092*g**i - 2*g**3 + g**3 - 5084*g**2 - 14*g - 1 + 3*g wrt g?
-6*g + 16
Let j(r) = 8*r**3 - 2*r**2 + 2*r - 1. Let a be j(1). Let y(g) = 6*g - 27. Let k be y(a). What is the first derivative of -19*n**4 + k*n**4 + 13*n**4 + 9 wrt n?
36*n**3
Let s(f) = 1162*f**3 + 6*f**2 + 3*f + 338. Let h(j) = 1164*j**3 + 5*j**2 + 3*j + 336. Let b(x) = -6*h(x) + 5*s(x). What is the second derivative of b(c) wrt c?
-7044*c
Let z(c) be the first derivative of 9*c**6/2 + 8*c**5/5 - 2*c**3/3 + 1378*c + 282. What is the third derivative of z(p) wrt p?
1620*p**2 + 192*p
Let m = 2077 - 2058. Let a(g) be the first deriva
|
{
"pile_set_name": "DM Mathematics"
}
|
Let w(i) = i**3 + 197*i**2 - 12954*i - 868. Calculate w(-249).
626
Let b(m) = -51875*m - 259408. Give b(-5).
-33
Let w(r) = r**3 - 546*r**2 + 52622*r + 1266. Calculate w(421).
3
Let m(f) = 18504*f + 11120908. What is m(-601)?
4
Let u(q) = -q**3 - 166*q**2 + 5515*q + 915507. What is u(-166)?
17
Let g(t) = -2*t**2 - 272*t + 7676. Calculate g(-165).
-1894
Let i(t) = 7*t**2 + 934*t + 7548. Calculate i(-125).
173
Let y(q) = 77*q**2 + 1923*q - 43. Calculate y(-25).
7
Let x(p) = -367*p - 19392. What is x(-53)?
59
Let i(w) = 3*w**2 + 1959*w + 119285. Determine i(-68).
-55
Let f(x) = -50546*x - 1668041. What is f(-33)?
-23
Let f(i) = -i**3 + 22*i**2 - 75*i - 595. Give f(15).
-145
Let s(x) = -6*x**3 + 942*x**2 + 24*x - 3824. Determine s(157).
-56
Let z(i) = -2*i**2 - 4716*i + 9438. Calculate z(2).
-2
Let u(q) = 69159*q - 2558877. Determine u(37).
6
Let m(q) = 5*q**2 - 41*q - 1032. Determine m(-17).
1110
Let p(z) = 3*z**2 - 154*z + 1434. Give p(40).
74
Let j(b) = -505439*b - 4548955. Calculate j(-9).
-4
Let g(m) = -3*m**2 - 1939*m - 13435. What is g(-7)?
-9
Let o(f) = -659*f - 43407. Calculate o(-66).
87
Let t(x) = 97*x**2 - 92*x - 5. Give t(2).
199
Let f(k) = -k**3 + 160*k**2 + 299*k + 3873. What is f(162)?
-177
Let q(v) = -v**3 + 263*v**2 - 2089*v + 385. Calculate q(8).
-7
Let y(p) = p**3 - p**2 - 160*p + 275. What is y(12)?
-61
Let t(p) = 181*p**2 - 6947*p + 2619. Give t(38).
-3
Let v(k) = k**3 - 165*k**2 + 492*k - 1034. Give v(162).
-62
Let v(z) = -24*z**2 - 35*z + 37. What is v(1)?
-22
Let p(k) = -k**3 - 26*k**2 + 815*k + 429. Give p(20).
-1671
Let n(r) = 2*r**3 - 55*r**2 + 41*r + 181. Give n(26).
-781
Let a(h) = h**3 + 197*h**2 + 9478*h + 6. What is a(-84)?
1182
Let r(b) = 22*b**2 + 535*b + 1858. What is r(-4)?
70
Let h(c) = -3*c**3 + 955*c**2 - 1305*c + 11730. Determine h(317).
1
Let g(d) = -d**2 - 188*d - 8031. Give g(-71).
276
Let o(k) = k**2 + 315*k + 24674. Give o(-174).
140
Let t(y) = -333*y - 18557. Give t(-56).
91
Let f(n) = -106650*n + 1919705. Determine f(18).
5
Let d(v) = -17400*v + 34864. Determine d(2).
64
Let g(s) = 77*s**3 + 34*s**2 + 8*s + 5. What is g(-3)?
-1792
Let l(v) = 4*v**2 - 1657*v + 36371. What is l(391)?
8
Let b(w) = -155*w - 33951. Calculate b(-219).
-6
Let g(q) = -12771*q + 242693. Calculate g(19).
44
Let c(u) = -54634*u - 2239995. What is c(-41)?
-1
Let t(a) = a**3 + 29*a**2 - 66*a - 78. What is t(-31)?
46
Let z(i) = 21539*i - 1443102. What is z(67)?
11
Let x(q) = 1822*q + 12456. Give x(-7).
-298
Let x(g) = -g**3 + 1245*g**2 - 49365*g + 36. Calculate x(41).
-5
Let l(b) = -b**2 - 2625*b + 39602. What is l(15)?
2
Let d(r) = 1255*r - 173177. Calculate d(138).
13
Let r(z) = 2*z**3 - 87*z**2 + 22*z + 714. What is r(43)?
-189
Let l(m) = 213*m**2 + 328*m - 199. Determine l(-2).
-3
Let f(c) = 586*c - 3026. What is f(5)?
-96
Let r(z) = 193*z**2 + 882*z - 32. Determine r(-5).
383
Let d(y) = 4105*y + 7766. Calculate d(-2).
-444
Let n(r) = -558*r + 150521. Give n(269).
419
Let y(m) = -6*m**2 + 11377*m - 202830. What is y(18)?
12
Let k(h) = 349*h + 14700. Calculate k(-43).
-307
Let m(h) = 791*h - 115503. Give m(146).
-17
Let b(r) = 29*r**2 + 679*r - 9188. Calculate b(-33).
-14
Let y(t) = 13*t**2 - 1107*t + 4382. What is y(81)?
8
Let a(g) = g**2 - 235*g + 1336. Determine a(6).
-38
Let o(b) = 111*b**2 + 1806*b - 1477. Calculate o(-17).
-100
Let t(c) = -c**3 - 849*c**2 - 1073*c - 190776. Calculate t(-848).
24
Let o(q) = 383*q - 3351. Give o(7).
-670
Let v(t) = -6*t**2 + 196*t + 1440. Calculate v(-10).
-1120
Let z(s) = -6*s**3 + 186*s**2 + 585*s + 7. Calculate z(-3).
88
Let a(v) = -2*v**2 - 14*v - 2. Calculate a(-7).
-2
Let z(h) = -6308*h - 189244. Give z(-30).
-4
Let b(v) = -2769*v - 423906. Give b(-153).
-249
Let w(f) = 84354*f**2 + 337417*f - 2. Give w(-4).
-6
Let n(k) = 16861*k + 1601803. Determine n(-95).
8
Let g(x) = 7*x**3 + 366*x**2 - 257*x + 429. Calculate g(-53).
5
Let s(f) = -2923*f + 1224736. Give s(419).
-1
Let y(w) = w**3 - 31*w**2 + 11*w + 791. Give y(0).
791
Let w(k) = 14*k**2 - 18388*k + 153944. What is w(1305)?
-46
Let w(r) = 72*r**2 - 2962*r + 410. Calculate w(41).
0
Let d(z) = z**3 + z**2 - 430*z + 1754. What is d(-23)?
6
Let h(b) = -2*b**3 - 2766*b**2 + 8324*b + 11097. What is h(-1386)?
9
Let y(t) = 11*t**2 + 1494*t - 50852. What is y(-164)?
-12
Let c(x) = -x**3 - 43*x**2 + 2489*x + 31253. Give c(-11).
2
Let n(f) = -21843*f - 130662. Calculate n(-6).
396
Let a(g) = g**3 + 68*g**2 - 55*g - 751. Calculate a(-69).
-1717
Let f(h) = 338623*h + 2709020. Give f(-8).
36
Let y(u) = -2*u**2 - 183*u - 2278. Determine y(-68).
918
Let p(h) = 10*h**2 + 2087*h + 3513. Determine p(-207).
-6
Let w(g) = g**3 + 48*g**2 - 593*g + 42. Give w(10).
-88
Let t(a) = a**3 + 266*a**2 + 15840*a - 141. Determine t(-176).
-141
Let d(j) = 93*j**2 + 2629*j - 2671. Determine d(1).
51
Let w(m) = -m**3 + 47*m**2 + 71*m - 1361. Calculate w(48).
-257
Let i(q) = -q**3 - 33*q**2 - 375*q - 2645. What is i(-20)?
-345
Let a(y) = -27*y**2 - 248*y - 35. What is a(-9)?
10
Let v(y) = y**2 - 15*y - 485. What is v(30)?
-35
Let g(q) = -25*q**3 + 658*q**2 + 1942*q + 24. What is g(29)?
-5
Let d(l) = 8*l**3 - 166*l**2 + 314*l + 30. What is d(2)?
58
Let s(g) = 3*g**3 + 393*g**2 + 2253*g + 229. Calculate s(-125).
-146
Let k(y) = 18*y**2 - 932*y + 819. What is k(51)?
105
Let u(k) = 84289*k + 1517091. What is u(-18)?
-111
Let o(y) = 2*y**3 - 170*y**2 - 2873*y - 1411. Calculate o(-14).
3
Let j(k) = 2*k**3 + 2802*k**2 + 5603*k + 9786. Calculate j(-1399).
-7
Let k(y) = 42*y**3 + 3*y**2 - 27*y - 55. Give k(-2).
-325
Let l(i) = i**3 + 47*i**2 - 274*i - 865. Determine l(-52).
-137
Let s(z) = -2*z**3 - 40*z**2 + 1672*z + 35059. What is s(-22)?
211
Let u(s) = -s**2 + 330*s - 20766. Give u(85).
59
Let s(n) = -887*n + 9966. Give s(11).
209
Let r(s) = -3*s**3 - 1317*s**2 - 3466*s + 199696. Give r(-436).
8
Let c(p) = -618*p - 75964. Determine c(-123).
50
Let o(f) = 360*f**2 + 38151*f - 902. Give o(-106).
52
Let h(m) = -332042*m + 664088. Determine h(2).
4
Let c(o) = -831*o - 13543. Give c(-15).
-1078
Let f(l) = -l**2 + 936*l - 175193. What is f(677)?
150
Let x(d) = 2337*d - 184584. What is x(79)?
39
Let p(s) = 3*s**3 - 39*s**2 - 16261*s + 211392. What is p(13)?
-1
Let v(j) = 9469*j - 104149. Determine v(11).
10
Let c(f) = -f**2 + 7396*f - 235668. Give c(32).
-20
Let n(r) = 23*r + 1079. Determine n(-41).
136
Let u(d) = 60*d**2 + 545*d - 11446. Determine u(10).
4
Let t(x) = -2514*x + 52827. What is t(21)?
33
Let m(q) = 24*q**2 - 683*q + 2070. Determine m(25).
-5
Let f(n) = n**3 + 417*n**2 - 17293*n - 1371. Give f(-455).
-6
Let j(z) = -5315816*z + 26579062. Give j(5).
-18
Let y(h) = 6405*h + 64081. What is y(-10)?
31
Let f(p) = 2007*p + 46169. Give f(-23).
8
Let y(r) = -4950*r - 19812. Give y(-4).
-12
Let n(f) = -f**2 + 128*f - 2577. Give n(100).
223
Let b(g) = g**3 - 72*g**2 + 1521*g - 9713. Calculate b(40).
-73
Let o(z) = z**2 - 1485*z + 146184. What is o(106)?
10
Let y(b) = 121*b**2 - 21*b + 42. Give y(2).
484
Let t(m) = -3*m**3 + 2192*m**2 - 5857*m + 23873. Give t(728).
-151
Let f(p) = 274*p**2 - 3212*p + 2177. Calculate f(11).
-1
Let m(w) = -239046*w + 5976181. Give m(25).
31
Let a(u) = -u**3 + 139*u**2 - 3853*u + 1615. Determine a(101).
100
Let o(p) = -34*p**2 - 95*p + 1505. Determine o(10).
-2845
Let y(i) = 75*i**2 + 5307*i - 1212. What is y(-71)?
66
Let c(b) = -74*b + 10571. Give c(140).
211
Let o(x) = -5*x**2 + 4166*x - 434420. Give o(711).
1
Let o(q) = -6*q**3 + 2516*q**2 + 1642*q + 15948. Calculate o(420).
-12
Let h(o) = 2481*o - 2519. Calculate h(1).
-38
Let q(t) = 144*t + 16722. Determine q(-118).
-270
Let x(m) = -m**3 - 74*m**2 + 314*m + 191. Determine x(-78).
35
Let c(i) = i**3 + 309*i**2 + 274*i - 10471. Determine c(-308).
1
Let j(u) = -72906*u + 2041334. Calculate j(28).
-34
Let c(y) = -7696*y - 38598. Give c(-5).
-118
Let t(a) = a**2 + 46*a + 817. Give t(-35).
432
Let g(k) = 1185*k + 86566. Determine g(-73).
61
Let p(a) = -30*a**3 - 106*a**2 - 163*a - 656. Give p(-4).
220
Let b(v) = 6*v**3 + 222*v**2 - 32*v + 223. Give b(-37).
1407
Let m(q) = 3*q**3 + 57*q**2 - 680*q + 332. Determine m(8).
76
Let t(v) = 65*v - 3800. Determine t(86).
1790
Let o(x) = 2*x**3 - 178*x**2 - 128*x - 4723. Calculate o(90).
-43
Let l(j) = -417*j + 13610. Calculate l(33).
-151
Let t(l) = l*
|
{
"pile_set_name": "DM Mathematics"
}
|
as f?
True
Let z(o) = o + 4. Let k be z(-5). Which is smaller: -3/8 or k?
k
Let n(d) = -d - 8. Let y be n(-8). Is -1/17 != y?
True
Let h = -89.1 - -88. Which is greater: 0.06 or h?
0.06
Suppose 15 = d - 9. Is 20 smaller than d?
True
Let f be (284/10)/(18/(-75)*-5). Are 25 and f nonequal?
True
Suppose -1 - 3 = 2*h. Let x = h - -5. Are -1 and x unequal?
True
Suppose -2*i + 6 = -0. Suppose 0 = -i*q - 2*q. Is q at most 1/15?
True
Let d be 66/44 + (-590)/388. Are 1 and d non-equal?
True
Let l(t) = -4*t + 7*t + 2*t - 3 - 4*t. Let m be l(3). Which is greater: -4/11 or m?
m
Let q = 0.27 + -13.37. Let h = q - -13. Do h and 0.1 have the same value?
False
Let d be -14*(-14)/(-52) + 4. Is d < -0.1?
False
Let s(y) = y**2 + 3*y + 3. Suppose -5*v - 12 - 3 = 0. Let o be s(v). Suppose -5*n = 4*w - 6*n - 9, -1 = w + o*n. Which is smaller: w or 0?
0
Let f = -23 - -9. Is f >= 0.1?
False
Suppose s - 6 = 4. Let z be s/25 + 3/(-20). Which is smaller: z or 0?
0
Suppose 2*j = 4*u + 2 + 12, j + u + 2 = 0. Let o = -8 + 15. Let v(m) = m**2 - 6*m - 5. Let d be v(o). Which is greater: d or j?
d
Let i = -0.3 - 0.7. Let f(y) = -y**2 + 6*y + 6. Let m be f(7). Is i at least m?
True
Let u(n) = -n**3 + 6*n**2 - n + 7. Let b be u(6). Let o be -3 + 1 + 5 + -3. Let q = o - b. Which is greater: q or -1/10?
-1/10
Suppose 2*k = -5*p + 26, 0 = -0*p - 4*p + 3*k + 7. Suppose -6 = p*d + 10. Let s be (5/(-2))/(-2 - -3). Is d not equal to s?
True
Suppose 0*w - w + 22 = -2*v, -8 = 4*w. Let s be ((-4)/(-12))/((-1)/v). Is s at least as big as 4?
True
Let s = 0.3 + -0.5. Let q = 3/382 - 779/147834. Let v = 85/387 + q. Is v smaller than s?
False
Suppose -4*x + 5*g = 89, 4*g - 109 = x + 4*x. Is -21 not equal to x?
False
Let u = 0.29 + -0.3. Let b = -2 + 1.91. Let o = u + b. Which is smaller: -4 or o?
-4
Suppose 0 = -s + 3*s - 18. Let r = s - 14. Which is smaller: r or -4?
r
Let p = 740/1743 + 1/249. Which is smaller: 1 or p?
p
Suppose -28 + 3 = -5*u + f, 4*u + 4*f - 44 = 0. Let p be (-4)/u + (-184)/(-267). Let r = p + 259/356. Which is bigger: 2 or r?
2
Let w be 2 - (0 - (-7)/3). Let o = 23 - 32. Let u = o + 12. Which is smaller: w or u?
w
Suppose -o + 3*o = 60. Let u be -2*(-1 + o/4). Does -13 = u?
True
Suppose -5 = 5*w - 3*d, -4 = -d + 1. Suppose -2*q - w*q = 0. Let o be 0/(4/(-1)) + -1 + 0. Is o less than or equal to q?
True
Suppose 2*y - 5 = -1. Suppose y = -2*d + 4. Let w = -27/65 - -8/13. Which is greater: d or w?
d
Let b = 6.6 - 2.84. Let y = b - -0.14. Let t = -4 + y. Is t smaller than -3/5?
False
Let h be 12/(-10)*30/(-12). Let s(g) = g**3 - 5*g**2 + 4. Let d be s(5). Which is smaller: d or h?
h
Let j(h) = -h**2 - 5*h + 1. Let l be j(-5). Let r be ((-8)/10)/(l/(-5)). Suppose 2*u - r = 4*u. Are u and -4/3 equal?
False
Let x be 1/(-252)*2*4. Let l be ((-179)/(-189))/((-5)/(-3)). Let w = l - x. Which is bigger: 1 or w?
1
Let u = -0.1 - 0. Let o = -2.6 - 0.4. Is o > u?
False
Let k(o) = -o**2 + 5*o + 3. Let p be k(5). Suppose -p*h = -8*h. Which is smaller: 4/7 or h?
h
Suppose 0 = -4*x - 0*x. Let k = x + 2. Is 2 > k?
False
Let l(x) be the third derivative of -x**5/30 + x**3/6 - x**2. Let k be l(1). Is 1/3 greater than k?
True
Let y = 1/7636 - 91667/267260. Let m = y - -37/35. Are m and 1 nonequal?
True
Let i be 282 - (3 + -2)/(-1). Let w = 396 - i. Let l = w + -793/7. Is l at most as big as -2/17?
True
Let g(l) = -l**3 + 2*l**2 + 2*l - 3. Let v be g(2). Is 5/7 smaller than v?
True
Let q = 0 - -2. Let y = 146 - 1292/9. Let i = -8/3 + y. Is i less than q?
True
Let s(v) = 2*v**2 + 2*v - 1. Let g be s(-2). Suppose -3*m + 10 = -2. Let y(d) = d**2 - 5*d + 6. Let t be y(m). Which is bigger: t or g?
g
Suppose 4*g + 35 = 5*u, 2*u + 0*u + 14 = -4*g. Suppose s - 6*s = -4*c - 8, -6 = u*c. Which is greater: -5/6 or s?
s
Let l be 3/((-6)/(-2)) + 1. Suppose 12 = -0*q - l*q. Let g = q + 23/4. Which is bigger: 3 or g?
3
Suppose -3*v - 2*i = -13, 5*v + 5*i - 3*i - 23 = 0. Suppose f - 3*q = q + 15, f = -v*q - 12. Let d be f/(-2)*(-4)/21. Which is greater: d or 1?
1
Let m = -17 - -17. Which is smaller: -4 or m?
-4
Let h = -5 - -5. Is 1/3 >= h?
True
Let q = -10 - -8. Is q != -5/7?
True
Suppose 2*a - 9 = -3*t, t = -0*a - 3*a + 3. Let s(r) = 3*r - 4. Let h be s(t). Suppose 7*m + 10 = h*m + 4*n, 0 = 3*m + 3*n - 3. Is 1/8 >= m?
True
Suppose 12*h = 14*h - 2. Which is bigger: h or 1/44?
h
Let b be 4*(0 - (-2)/4). Suppose b*t = t - 15. Let c be (-15)/(-6)*4/t. Which is smaller: -2 or c?
-2
Let k = -17.93 - -18. Which is smaller: k or -2?
-2
Let t = -2/19 + -47/95. Suppose 2 = -3*n - 5*g - 16, 5*n - 3*g - 4 = 0. Which is bigger: n or t?
t
Let a = 87.4 + -107. Let g = a + 23. Let b = -3 + g. Is b >= 0.1?
True
Suppose 11 = -4*i + 31. Suppose 16 = -3*h + 5*r, 4*r - 5 = i*h - 0. Suppose -4*x - 1 = h*u, -6*x + 2*x = 4*u. Is u < -0.1?
False
Let i = 0.6 + -1. Let r = i - -0.3. Let q = -0.064 + -0.936. Is q at least r?
False
Let h be (-6)/(-42)*0 - (-21)/4. Which is smaller: h or 4?
4
Suppose -5*v + 3 = -4*q - 2, -4*q = -4*v + 4. Suppose 2*j = 3*j - 3*f - 3, -3*f - 12 = 0. Let k be j/60*2/3. Which is smaller: q or k?
k
Let z = 12.1 + -10. Let t = z + -2. Does t = -2/9?
False
Suppose -5*a + 6 = -2*a. Suppose 0*v + a*v = 12. Are 6 and v equal?
True
Let c = 6 + -1. Let v be (1/(-3))/(1/(-3)). Let q be 2 - (c - (v + 0)). Is -3 <= q?
True
Suppose 3*c = 1 - 25. Are c and -6 unequal?
True
Let a be ((-2)/2 + 2)/(-1). Let u(q) = -q**2 + 14*q - 8. Let p be u(13). Let f = -5 + p. Which is greater: a or f?
f
Let j(h) = h**2 + 9*h + 1. Let r be j(-9). Let z be (-11 - (r - 2))/1. Let t = z + 14. Is 4 at least as big as t?
True
Let m = -0.09 - 4.91. Let k = m + 10. Which is smaller: k or 0.1?
0.1
Suppose -3*n = -4*n. Suppose n*q = -q. Is q bigger than 2?
False
Let v be -2*(-1 + (-10)/(-16)). Let l = 3/20 - v. Which is smaller: -0.1 or l?
l
Let l = 2.1 - 2.08. Which is smaller: -0.1 or l?
-0.1
Let h(m) = -m**3 + 13*m**2 + 13*m + 20. Let b be h(14). Which is greater: 7 or b?
7
Let u = 52 - 209/4. Is u greater than -6?
True
Let s be 1/((6/10)/3). Suppose -y - 5*a = -4*y + 31, s*y - a - 15 = 0. Let k = y + -3. Which is smaller: 2/5 or k?
k
Let p be 12/(-24) - 42/(-4). Is 0.2 bigger than p?
False
Let h be (-16)/(-80)*5*1. Let u be 2 - 5/(75/36). Which is bigger: h or u?
h
Let y be (-16)/(-4)*2/4. Let d be 4/2 - (-56)/(-40). Is d < y?
True
Let r be 0 - 1 - (-186)/(-5). Let s = -123 - -85. Let a = s - r. Is 1 at least a?
True
Let l = -0.07 + 1.07. Let t = 2 - l. Which is bigger: 0 or t?
t
Let x be 3/(-1) - 26/(-4). Which is bigger: x or 4?
4
Let b = -8 - -31/3. Do b and 3 have different values?
True
Let j be 288/45 + 4/(-10). Let v be (4 - 1) + j/(-4). Is 2 <= v?
False
Suppose u + 20 = 4. Let n = u - -13. Let x(i) = -3*i**3 + i. Let v be x(1). Which is bigger: v or n?
v
Let o be (2/(-12))/((-6)/2 + 4). Is 0 less than o?
False
Let s = 0.08 - 0.13. Is -1 smaller than s?
True
Let q be (4/12)/((-2)/12). Let h(u) = u**2 + u - 2. Let s be h(q). Which is smaller: 7 or s?
s
Suppose -2*c = 3*c + 50. Let p = c + 14. Suppose 0 = 5*q - p*r + r + 4, 3*q = -r + 6. Does q = 0?
False
Let x(d) = d**3 - 2*d**2 - 4*d + 4. Let v be x(3). Let m = -4 - 0. Let s be 6/20 - m/(-8). Which is bigger: v or s?
v
Let f(r) = -r + 8. Suppose -2 = b - 8. Let a be f(b). Let t = 395 + -392. Is a at least as big as t?
False
Let q be 2/4*9*-2. Let r(j) = j + 12. Let o be r(q). Suppose -2*f - o = -3*f. Do f and 3 have the same value?
True
Suppose -i + 8 = -3*i. Is i not equal to -4?
False
Suppose -4*q + 0*q + 36 = 0. Let a be 0*((-15)/q)/(-5). Let z = 0 + -2. Which is bigger: z or a?
a
Let t = -4/19 - -1/95. Suppose 0 = -2*a + 5 - 11. Let k be (-1)/a - 4/3. Is k less than t?
True
Let j = 327.17 - 330. Let x = -0.17 + j. Is -2/3 greater than or equal to x?
True
Suppose 2*v = 6*v. Which is greater: v or 4/23?
4/23
Let k be 66/14 - (-6)/21. Suppose -6 = k*a - 31. Suppose -a*i + 2 = -t - 7, -2*i + t + 3 = 0. Is i greater than or equal to 2?
True
Let m(y) = y**2 + 8*y + 13. Let c be m(-6). Is 7 at least as big as c?
True
Suppose 5*j + 0*z + 58 = 2*z, 0 = -2*j + 4*z - 20. Which is greater: -2 or j?
-2
Let c = -1 + 1. Let m be 5/2*(3 + -1). Let o be 2/m - 64/60. Is c at least o?
True
Let h = 41 + -14. Let c = h - 27. Which is greater: -2 or c?
c
Let z = 1 + 2. Suppose -2*u + z*f - 7*f = -1
|
{
"pile_set_name": "DM Mathematics"
}
|
158661?
-110530158753
Work out -1 + -1759662644.
-1759662645
Sum 1.08 and -0.8383839177.
0.2416160823
Subtract -306499301 from 2.686.
306499303.686
Add together 0.08044367 and -41210.
-41209.91955633
What is 302692125 plus 862?
302692987
Sum -0.46617672673 and 0.0067.
-0.45947672673
Calculate -10927387682 - 25.
-10927387707
Add 36255.5 and 361956.5.
398212
Add 67 and -0.1979838077.
66.8020161923
What is -116608635702 take away 783?
-116608636485
Subtract -762335080096 from -0.19.
762335080095.81
Sum -46160215 and 3.72054.
-46160211.27946
56.551 - 2741077
-2741020.449
Put together 1.5346 and 455872.
455873.5346
Calculate -151 - 3567.34316139.
-3718.34316139
What is -4400841 plus -641036?
-5041877
What is the difference between 0.00089057341142 and 0.3?
0.29910942658858
Calculate 75.6689 + -116089.3.
-116013.6311
Sum -6.288214721 and 0.156.
-6.132214721
45426662710+-0.07
45426662709.93
Sum -0.4 and -1.5051088215.
-1.9051088215
Add together 0.0091 and 193.9384866.
193.9475866
Put together 1393816224 and -108890.
1393707334
Total of 387.808333172802 and -0.1.
387.708333172802
Add -3.1 and 168673488400.
168673488396.9
Sum 0.2218 and -3299720540.
-3299720539.7782
Add 1.157614662857 and -0.083.
1.074614662857
5842476 + -305606.43
5536869.57
10 + 6751258624
6751258634
-28+-29143579.29
-29143607.29
0.299223+-16.2116178
-15.9123948
Work out -157623 + -621.6622.
-158244.6622
Add 2235369.4431 and -47.
2235322.4431
What is -3 minus 5963693188?
-5963693191
What is 3840607.67 less than 4413.4?
-3836194.27
Sum 3 and 23982857.7769.
23982860.7769
Add together 2376419486 and 2.
2376419488
2612 - -358366.591
360978.591
Work out -743003 + -0.852.
-743003.852
Total of -42.5 and 5.20443237677.
-37.29556762323
Calculate 5210857336979 - -2.
5210857336981
What is -2225957086 - 0.879414?
-2225957086.879414
What is -60 + -1955682950?
-1955683010
Total of -250.45016218 and -161.
-411.45016218
Work out -734406 - -79949.
-654457
What is the distance between -0.27678 and 904.8772?
905.15398
-1040329268523 + -5
-1040329268528
Work out 0.22211 - -369799716.
369799716.22211
-0.02428 + -1092181751.23
-1092181751.25428
What is -30 plus -5418174180663?
-5418174180693
Sum -3.562 and 70474384661.
70474384657.438
Calculate 392 - -1230965736193.
1230965736585
Put together 15.07 and 2056097260.
2056097275.07
Work out 25.53034 + 86835.
86860.53034
Add together 243649 and -21.44713.
243627.55287
What is -369169055 minus -56.8?
-369168998.2
What is 16842947 less than -52289?
-16895236
Add together -212010866 and -54976.
-212065842
-745 + 3778386980
3778386235
Calculate -70 - 43611958.22.
-43612028.22
What is 0.0510546 - -3.51523065?
3.56628525
Add together 946731593 and 1.15.
946731594.15
What is 359629693 + -0.2002?
359629692.7998
Calculate 50821178257 + 0.7.
50821178257.7
Calculate 837817971 + -79.
837817892
What is 62198162125 less than 16?
-62198162109
Subtract 3.169 from -1019849.65.
-1019852.819
Add 115828299869 and 16.2.
115828299885.2
What is 2818935 plus 824806?
3643741
Subtract 20028312 from 909619.4.
-19118692.6
What is 12222.0370744 take away 0.3?
12221.7370744
1.8741+-1.6315524765
0.2425475235
Total of 2 and 346207585798.
346207585800
-55121880241705 - -0.1
-55121880241704.9
What is -196465994422 minus -155?
-196465994267
-44994193193273+-0.4
-44994193193273.4
Add 15.8288 and -30613964.
-30613948.1712
What is -48883.5 take away 971143.33?
-1020026.83
What is 2047657075419 less than -28?
-2047657075447
Add together -85575161 and -0.008194.
-85575161.008194
Sum -5 and -8235658540.
-8235658545
What is 249645441 less than -30.88?
-249645471.88
-0.1887779+-28255996
-28255996.1887779
Work out 122904 + -47241854.
-47118950
What is 7665.795842647 less than 0.1?
-7665.695842647
Add together -57929.44 and -1675.1.
-59604.54
Subtract 124 from 0.52146584955.
-123.47853415045
What is 776084.06602 + -3?
776081.06602
362241324111 + -0.01
362241324110.99
What is -1269541675048 - -0.11?
-1269541675047.89
Work out 25673980340 - 299.
25673980041
What is -22183 - 23256636?
-23278819
What is 0.1162 minus 1.80989338865?
-1.69369338865
What is 33093 minus 0.06180572094?
33092.93819427906
Put together 0.136 and 1665439352565.
1665439352565.136
Add together -0.6 and 161630012.836.
161630012.236
What is 19307 less than 6294114258?
6294094951
Sum 2683730536 and 0.0255.
2683730536.0255
What is -4 less than -527479493508?
-527479493504
What is 0.1168307965234 plus 0.13?
0.2468307965234
Put together 2605886 and -3486.
2602400
Work out -1431831 + 34473.
-1397358
What is -18275134069552 + -18?
-18275134069570
0.3484 - -79.721545
80.069945
What is -837279 plus -145018?
-982297
What is the difference between -1639302.773 and 0.08?
1639302.853
What is the difference between -119.5 and 208373852221?
208373852340.5
1395645755 - 0.675
1395645754.325
Total of 0.4 and 24030636779.
24030636779.4
What is -46.69 - -2.5384621?
-44.1515379
What is the distance between 4485958 and 522.6983?
4485435.3017
Calculate 66.66793295 + -11.76.
54.90793295
Calculate -0.5 - -807.42632492.
806.92632492
Total of -0.05848468 and -54762204.
-54762204.05848468
Put together -110399866886 and 3.1.
-110399866882.9
What is -4776953 minus 2639.1?
-4779592.1
What is 35770 take away 1062427688?
-1062391918
Total of -701.48563412 and -75.
-776.48563412
-13555037.1 - 229929
-13784966.1
-0.3174762888 + 319
318.6825237112
Add together -139897.7404 and 37.99.
-139859.7504
Total of 0.4 and -19749.2714906582.
-19748.8714906582
318380698 - 3.5731
318380694.4269
Calculate 288.14336901 + 13.1.
301.24336901
What is -311723614442 - 0.1?
-311723614442.1
Calculate 11762354804 - -214.
11762355018
Subtract -271362322.5 from -45882.
271316440.5
Sum 58082617 and -2.904.
58082614.096
Subtract 1222707597 from -4327.
-1222711924
What is the difference between -118997829 and 5220?
119003049
Work out 289860 + -118695217.
-118405357
Subtract -0.1374935 from 1.398884.
1.5363775
Put together -66 and 6281203343.
6281203277
Add -2748073000 and 61445.
-2748011555
1.101 - -1764863645
1764863646.101
What is -9 take away -154198.80205?
154189.80205
Calculate 4075.7 + -5.5191099.
4070.1808901
Subtract -5965585 from -0.08304.
5965584.91696
What is 1722160427 less than -468.7?
-1722160895.7
Work out 42320 - 2479925664.
-2479883344
Subtract 33 from 3708356613554.
3708356613521
Add together 3312759286.49 and 0.08.
3312759286.57
0.0033+-560671252
-560671251.9967
Put together 7600.459 and -0.224294.
7600.234706
What is 39 take away -1750853147.74?
1750853186.74
Total of -482430919960 and 0.0235.
-482430919959.9765
Add together 69279.6956 and -11.
69268.6956
What is -614 minus -100851277?
100850663
What is 2384 take away -2.70201516?
2386.70201516
Work out -591624711768 - -0.4.
-591624711767.6
What is the distance between -4062602586 and -0.055465?
4062602585.944535
What is -0.061756 + 2167.866?
2167.804244
Work out -0.3 - 235780249.9536.
-235780250.2536
What is 3.50499682 minus 58?
-54.49500318
What is 36.69 + 148410418?
148410454.69
Work out -10208.5629775 - 3.
-10211.5629775
Add together -11 and 6268356103212.
6268356103201
Sum 0.1 and 2492.2710427.
2492.3710427
Add 0.02 and -0.36618563557.
-0.34618563557
Calculate 0.17 - -1543.1689972.
1543.3389972
What is -1 take away 0.72645562834?
-1.72645562834
Work out 720.372581253 + -2.
718.372581253
6.21276236 + 56552
56558.21276236
-1818735267639.8 + 0.1
-1818735267639.7
What is -2523 - -2486185.266?
2483662.266
Add together 1.314800079 and -351.8.
-350.485199921
What is 0.056283673 - -0.4887?
0.544983673
0.36 + -1.32516537679
-0.96516537679
Work out -2044722612521 - -57.
-2044722612464
-13557300 - 1.04
-13557301.04
What is -6080184 - 0.794489?
-6080184.794489
What is 0.146048347 + 0.275?
0.421048347
What is the distance between -66.46 and 688909.6639?
688976.1239
What is -1069834 less than -0.09479?
1069833.90521
Work out 3259 - -2275297.8.
2278556.8
Work out -86.2258956089 - 0.2.
-86.4258956089
Sum -18.2 and -344.906153.
-363.106153
Sum 45.38696 and 806805.98.
806851.36696
Sum 17456139.9182472 and 4.
17456143.9182472
6109+1454625046
1454631155
Work out 15795823.4 + 14.44928.
15795837.84928
What is 15597017727 take away 4863?
15597012864
Work out -2617552 - 9.159.
-2617561.159
-0.03527153 + -506232
-506232.03527153
Work out -0.3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 4226 for b.
-15
Solve -4 + 45 = -25*p - 3 - 6 for p.
-2
Solve 151 + 122 = 1351*i - 1312*i for i.
7
Solve -167 + 7128 = 335*j - 744 for j.
23
Solve 200*f - 256 - 529 = 1255 + 360 for f.
12
Solve 0 = -450*y + 123351 - 113001 for y.
23
Solve 79268 + 7398 = -2281*q - 4574 for q.
-40
Solve -9425*v + 647852 = 11587*v - 717928 for v.
65
Solve 97*p - 1414 = -51*p + 1769 + 1553 for p.
32
Solve 339729 = 276*m + 326205 for m.
49
Solve 155*x - 2825 + 5460 = 0 for x.
-17
Solve -63*d + 478*d = -177*d - 13616 for d.
-23
Solve -78711*z + 181038 = -81032*z for z.
-78
Solve 5453*j + 327649 = 27734 for j.
-55
Solve 8570 + 10536 + 1886 = -256*u for u.
-82
Solve 3610890 = 10184*r - 34471*r + 801190 - 177601 for r.
-123
Solve 29142 = 9*n + 29727 for n.
-65
Solve 3145 = -71*i - 4949 for i.
-114
Solve -849*l - 397*l + 28916 = 6488 for l.
18
Solve 0 = 37*d - 9308 + 10677 for d.
-37
Solve -4046 = -127*w + 4059 + 2697 - 769 for w.
79
Solve -54*g = 144*g - 270*g - 2016 for g.
-28
Solve 4*i - 552 + 152 = -12*i for i.
25
Solve -434*x - 3801 - 3147 = 19368 - 3314 for x.
-53
Solve 2446*j + 238 = 2453*j for j.
34
Solve 256*p - 2538 = -26*p for p.
9
Solve -34096 = 2591*h - 106*h - 354*h for h.
-16
Solve -495*r + 49*r - 18366 = 5272 for r.
-53
Solve 185051 = 343*u + 186423 for u.
-4
Solve 258520 = -4939*s - 3083*s + 2402*s for s.
-46
Solve 1476*c - 206780 = -593*c - 93039 + 105573 for c.
106
Solve -2244 = -890*g - 209*g - 13178 + 88963 for g.
71
Solve 12879293*o - 12879331*o = 2964 for o.
-78
Solve 21*r - 4862 + 4400 = 0 for r.
22
Solve 3976*s - 33309 - 32254 = 25757 + 147240 for s.
60
Solve -516*a + 2455 = 11480 + 4612 + 43123 for a.
-110
Solve 9*v + 3*v - 1680 = -36*v for v.
35
Solve 8919*l + 45823 = -7691 for l.
-6
Solve -504 - 1181 = -9*w + 68*w + 498 for w.
-37
Solve 396858 = -5098*q + 1148*q - 1204*q for q.
-77
Solve 1330*x = -526*x - 475*x + 623*x - 158844 for x.
-93
Solve 1667 = -336*c + 9406 - 347 for c.
22
Solve -7249*o + 6324*o + 37925 = 0 for o.
41
Solve 254*l = -3034 - 102 - 1182 for l.
-17
Solve -2453*z = -1939*z - 2570 for z.
5
Solve 2538*j - 84050 - 192666 = -58448 for j.
86
Solve 65*s + 546*s = 8*s + 22914 for s.
38
Solve -603*h - 714*h + 7636 = -1483*h for h.
-46
Solve 77519 = -574541*s + 575698*s for s.
67
Solve 533*h = 3100*h - 5217 + 28320 for h.
-9
Solve -130*g - 119*g + 340*g - 7252 = 287*g for g.
-37
Solve -59*i - 278*i - 1797 = -41*i + 303*i for i.
-3
Solve 0 = 82*h + 132*h - 27*h - 793 + 7712 for h.
-37
Solve -2238*p + 9747 = 2189*p - 17006 - 17517 for p.
10
Solve -189*k - 120*k = 304*k + 380*k + 47664 for k.
-48
Solve 0 = -311*c - 4200 - 11350 for c.
-50
Solve -38446 = -295*b - 400*b - 2185 + 14474 for b.
73
Solve 12931 = -984*b - 845 for b.
-14
Solve 5*v = 32*v + 25*v - 2857 - 523 for v.
65
Solve 0 = -210*s - 54 - 912 - 1344 for s.
-11
Solve 0 = 5*m - 3751 + 3736 for m.
3
Solve -1504*r - 201 = -12233 for r.
8
Solve 55*o = -188*o - 15958 - 1923 - 5933 for o.
-98
Solve 0 = -9999*y + 10776*y + 62937 for y.
-81
Solve 133*d = 493558 - 489435 for d.
31
Solve 17*z + 10*z - 189 + 363 = -285 for z.
-17
Solve -177*w - 7967 = -434*w for w.
31
Solve 1516*m + 256 = -10685 + 329 for m.
-7
Solve 345*d - 172*d - 440 = 165*d for d.
55
Solve -257752 + 309878 = -778*n for n.
-67
Solve 15262769*h + 14630 = 15262615*h for h.
-95
Solve 83*q + 1657 = -252 for q.
-23
Solve 3*n + 230 = 428 for n.
66
Solve 0 = -6021127*z + 6021198*z - 3763 for z.
53
Solve 369334 = 2520*b + 13538*b for b.
23
Solve 166*q - 303 + 616 = -34 - 981 for q.
-8
Solve -2719 = 70*s + 151 for s.
-41
Solve 158*a = -330 + 1436 for a.
7
Solve 0 = 5105*p + 3772 + 21838 + 132645 for p.
-31
Solve 1831*u + 22730 = 1364*u + 314 for u.
-48
Solve 30*h + 3*h + 302 = -1565 - 113 for h.
-60
Solve 553*i + 5091*i + 623000 = -966*i - 390*i for i.
-89
Solve -430*g = 42*g + 4*g + 35224 for g.
-74
Solve 0 = -2446*f + 2408*f - 158 + 994 for f.
22
Solve 0 = 597*f - 117*f + 182*f - 18536 for f.
28
Solve 7831 = -118*o + 10899 for o.
26
Solve -1094 = -31*k - 432 - 383 for k.
9
Solve 476*b + 1233*b + 95704 = 0 for b.
-56
Solve 20240*h + 1671 = 20195*h - 1614 for h.
-73
Solve -12587 - 33226 - 2446 = 1398*t - 727 for t.
-34
Solve 191*u + 216 = -3222 for u.
-18
Solve -22025 = -111*c - 25466 for c.
-31
Solve 6808*i - 6655*i - 153 = 0 for i.
1
Solve -5723334 = 56*z - 5725182 for z.
33
Solve 903*c + 3525828 - 3559239 = 0 for c.
37
Solve -350*k + 4285 + 4824 = -3989 - 202 for k.
38
Solve -904*h + 624*h = 1067*h + 505*h - 51856 for h.
28
Solve -1077*h + 15 = 1188*h + 331*h + 15 for h.
0
Solve 590*m + 35936 = 106736 for m.
120
Solve 39*g = 232641 - 235020 for g.
-61
Solve 4266*t = -272729 - 124009 for t.
-93
Solve 1353*m + 1187*m + 280209 = -473*m for m.
-93
Solve 11330 = 97*c + 6092 for c.
54
Solve -3758*n + 35248 = -227812 for n.
70
Solve -8*j + j = 28*j + 6*j - 574 for j.
14
Solve 43*o = -35*o + 3*o - 3009 + 459 for o.
-34
Solve 212*p = 923*p + 699*p + 69090 for p.
-49
Solve -98*t + 625*t - 40*t - 27272 = 0 for t.
56
Solve -7*b - 293 + 128 + 298 = 0 for b.
19
Solve -22341*n + 1080017 - 3113048 = 0 for n.
-91
Solve -76*y - 508*y + 126*y = 447*y + 66970 for y.
-74
Solve -102 = -1403*o - 1444*o + 2796*o for o.
2
Solve -4846*y - 1250*y = -1026*y - 131820 for y.
26
Solve -842*m - 10355 - 9027 = -51560 - 46128 for m.
93
Solve 138*h - 7744 = -148*h + 225*h - 2132 for h.
92
Solve 0 = 1535*k + 30255 + 48030 for k.
-51
Solve -22474*v - 748237 = -603*v - 4152*v - 39477 for v.
-40
Solve 123*y + 5941 - 14353 = 5856 for y.
116
Solve -28963784*h + 28963845*h = -1891 for h.
-31
Solve -91*q - 2761 = 52*q - 12914 for q.
71
Solve -92757*q + 92802*q - 64 = -964 for q.
-20
Solve -51523*f = -46920*f + 64442 for f.
-14
Solve -1182*r - 109216 = -151768 for r.
36
Solve 12005*q - 11988*q + 1105 = 0 for q.
-65
Solve -7085 + 3262 - 3196 = 645*z + 2656 for z.
-15
Solve 0 = -74461*a + 74610*a + 447 for a.
-3
Solve -556 - 124 = 33*l - 52*l + 29*l for l.
-68
Solve -6140 = 98*x - 17802 for x.
119
Solve 1122*f + 79336 = -910*f + 418*f - 74*f for f.
-47
Solve 101957 + 115287 = -3638*b + 60576 - 47060 for b.
-56
Solve -746*v - 1909*v - 365564 = 443*v for v.
-118
Solve 0*p = -13*p - 49*p + 12*p - 650 for p.
-13
Solve 2386*d + 7344 = 2233*d for d.
-48
Solve 88*l - 106*l + 693 = -41*l - 54*l for l.
-9
Solve -11160 = 8076*p - 7797*p for p.
-40
Solve 349*n + 72*n - 33*n = -4656 for n.
-12
Solve 13740*j + 12577*j + 1766636 = 5801*j + 1722*j for j.
-94
Solve -2182 = -1917*j + 3008*j for j.
-2
Solve 460*a = -3464*a - 419868 for a.
-107
Solve 4251435 - 4251419 = 4*j for j.
4
Solve 2318*b = 92886 - 2484 for b.
39
Solve -345*d + 2642 + 690 = 488*d for d.
4
Solve 0 = 8100*x - 16443*x + 8245*x + 2450 for x.
25
Solve 750*w + 12189 = 3693 - 5004 for w.
-18
Solve 236*f + 40061 = 143*f + 772*f for f.
59
Solve -20008 = -184*s - 20560 for s.
-3
Solve 0 = -2178*r + 1693*r + 23274 + 2916 for r.
54
Solve -16*k + 162 = -29*k - 797 - 237 for k.
-92
Solve -337075 + 330283 = 283*h for h.
-24
Solve -1248*c + 1258*c - 120 = 0 for c.
12
Solve 3199 - 5103 = 34*a for a.
-56
Solve 0 = 51*x + 173*x + 18670 + 7762 for x.
-118
Solve -70*i = 2118 + 122 for i.
-32
Solve 0 = 615*b - 169*b + 375*b - 49260 for b.
60
Solve -11426 = -1471*s - 3775*s - 368154 for s.
-68
Solve 1614*c + 9302 = -106829 + 14449 for c.
-63
Solve 494481 = -6691*g + 102241 - 82821 for g.
-71
Solve -6231*d + 68551 = -4832*d for d.
49
Solve -31841 - 36394 = -3722*r + 24815 for r.
25
Solve -40*a - 41289 = -42689 for a.
35
Solve 0 = 27211*k - 28390*k - 70740 for k.
-60
Solve -664*q + 582*q - 22148 = 709*q for q.
-28
Solve 63*z = -41116671 + 41109867 for z.
-108
Solve -194*s - 885*s + 8276 = -10485 - 1740 for s.
19
Solve -710*y - 183*y - 244*y + 94689 = 366*y for y.
63
Solve -7490*w + 7629*w - 14873 = 0 for w.
107
Solve -24150 = 111*g + 234*g - 0*g for g.
-70
Solve 50*a - 334*a + 12 = 28 - 16 for a.
0
Solve -13604*u - 4908 = -13195*u for u.
-12
Solve -8427 = 1462*s + 32509 for s.
-28
Solve -1793 + 754 = -28*a + 273 + 2328 for a.
130
Solve 0 = -31*p + 295 - 3116 for p.
-91
Solve -6940*s = 6940*s - 13879*s + 40 for s.
-40
Solve 116*s - 95*s - 76*s - 770 = 0 for s.
-14
Solve 0 = -45*p + 679 + 1252 - 401 for p.
34
Solve 6600 = -114582*j + 115182*j for j.
11
Solve 4270*c = 4293*c - 1104 for c.
48
Solve 0 = 297*v - 230287 + 235930 for v.
-
|
{
"pile_set_name": "DM Mathematics"
}
|
?
352753
What are the prime factors of 1178155?
5, 11, 31, 691
What are the prime factors of 735866?
2, 139, 2647
What are the prime factors of 2373581?
7, 107, 3169
List the prime factors of 31819361.
7, 31, 331, 443
List the prime factors of 634023.
3, 13, 5419
What are the prime factors of 686998?
2, 13, 26423
What are the prime factors of 7995404?
2, 37, 89, 607
What are the prime factors of 4193206?
2, 251, 8353
What are the prime factors of 268203?
3, 13, 23
List the prime factors of 282167.
282167
List the prime factors of 4195153.
61, 97, 709
List the prime factors of 1647174.
2, 3, 274529
List the prime factors of 1799549.
1799549
List the prime factors of 2256991.
11, 19, 10799
What are the prime factors of 1226433?
3, 13, 41, 59
What are the prime factors of 895915?
5, 59, 3037
What are the prime factors of 7457253?
3, 19, 130829
What are the prime factors of 237835?
5, 13, 3659
List the prime factors of 1836737.
7, 262391
What are the prime factors of 75675?
3, 5, 1009
What are the prime factors of 26223?
3, 8741
What are the prime factors of 124865?
5, 13, 17, 113
List the prime factors of 830196.
2, 3, 7687
What are the prime factors of 2436077?
7, 348011
What are the prime factors of 440800?
2, 5, 19, 29
What are the prime factors of 1347083?
71, 18973
List the prime factors of 631150.
2, 5, 13, 971
List the prime factors of 2349522.
2, 3, 7, 29, 643
What are the prime factors of 37886?
2, 19, 997
What are the prime factors of 1214952?
2, 3, 23, 31, 71
List the prime factors of 30670758.
2, 3, 353, 1609
What are the prime factors of 4117719?
3, 167, 8219
What are the prime factors of 3448278?
2, 3, 63857
What are the prime factors of 4027173?
3, 101, 13291
What are the prime factors of 10912291?
13, 683, 1229
List the prime factors of 4910.
2, 5, 491
List the prime factors of 5556483.
3, 617387
What are the prime factors of 3522104?
2, 37, 73, 163
List the prime factors of 212637.
3, 70879
What are the prime factors of 40300064?
2, 7, 17, 19, 557
What are the prime factors of 3595202?
2, 13, 53, 2609
List the prime factors of 231470.
2, 5, 79, 293
List the prime factors of 8586793.
8586793
What are the prime factors of 6728034?
2, 3, 479, 2341
List the prime factors of 14492.
2, 3623
What are the prime factors of 15924911?
37, 127, 3389
List the prime factors of 36966.
2, 3, 61, 101
List the prime factors of 540789.
3, 180263
List the prime factors of 2035201.
7, 23, 12641
List the prime factors of 21376467.
3, 7, 59, 71
List the prime factors of 1066187.
157, 6791
List the prime factors of 48356.
2, 7, 11, 157
What are the prime factors of 7048574?
2, 13, 17, 37, 431
List the prime factors of 6804531.
3, 29, 31
What are the prime factors of 7427581?
7, 97, 10939
List the prime factors of 9290678.
2, 47, 98837
What are the prime factors of 3743670?
2, 3, 5, 7, 17827
List the prime factors of 660894.
2, 3, 13, 37, 229
What are the prime factors of 164554?
2, 13, 6329
List the prime factors of 18486015.
3, 5, 1232401
What are the prime factors of 858242?
2, 7, 11, 5573
List the prime factors of 192991.
192991
List the prime factors of 25692040.
2, 5, 11, 58391
List the prime factors of 9690082.
2, 4845041
List the prime factors of 20247884.
2, 17, 131, 2273
What are the prime factors of 8931746?
2, 113, 39521
What are the prime factors of 4621345?
5, 924269
List the prime factors of 416649.
3, 138883
What are the prime factors of 350210?
2, 5, 7, 5003
What are the prime factors of 25214977?
1297, 19441
List the prime factors of 1099543.
17, 64679
What are the prime factors of 1208520?
2, 3, 5, 373
What are the prime factors of 4748659?
311, 15269
List the prime factors of 7355885.
5, 1471177
What are the prime factors of 22970?
2, 5, 2297
List the prime factors of 343656.
2, 3, 37, 43
What are the prime factors of 1443072?
2, 3, 1879
List the prime factors of 1377432.
2, 3, 7, 911
List the prime factors of 838105.
5, 167621
What are the prime factors of 28739?
29, 991
List the prime factors of 6792902.
2, 29, 117119
What are the prime factors of 241139?
293, 823
What are the prime factors of 20033389?
20033389
List the prime factors of 742512.
2, 3, 31, 499
List the prime factors of 5726915.
5, 53, 21611
What are the prime factors of 6544667?
6544667
What are the prime factors of 390244?
2, 97561
List the prime factors of 5757431.
983, 5857
List the prime factors of 68635.
5, 7, 37, 53
What are the prime factors of 2784491?
2784491
List the prime factors of 1958162.
2, 17, 57593
What are the prime factors of 407767?
23, 17729
List the prime factors of 534535.
5, 106907
What are the prime factors of 1312106?
2, 31, 21163
What are the prime factors of 258437?
258437
What are the prime factors of 1126072?
2, 140759
What are the prime factors of 2360399?
17, 43, 3229
List the prime factors of 4294245.
3, 5, 353, 811
List the prime factors of 17000383.
19, 571, 1567
What are the prime factors of 2453558?
2, 1226779
What are the prime factors of 4244499?
3, 7, 89, 757
What are the prime factors of 600664?
2, 75083
List the prime factors of 1139778.
2, 3, 21107
What are the prime factors of 8899118?
2, 4449559
What are the prime factors of 16027956?
2, 3, 7, 37, 191
What are the prime factors of 850609?
23, 31, 1193
What are the prime factors of 410147?
29, 14143
What are the prime factors of 1098130?
2, 5, 11, 67, 149
List the prime factors of 1235074.
2, 617537
What are the prime factors of 82658?
2, 37, 1117
What are the prime factors of 128450?
2, 5, 7, 367
List the prime factors of 1753666.
2, 876833
What are the prime factors of 2586696?
2, 3, 7, 89, 173
List the prime factors of 6438509.
7, 11, 83617
What are the prime factors of 274996?
2, 68749
List the prime factors of 6617139.
3, 2205713
What are the prime factors of 450859?
450859
List the prime factors of 1203121.
1203121
What are the prime factors of 2009101?
293, 6857
What are the prime factors of 1607542?
2, 167, 4813
What are the prime factors of 375363?
3, 179, 233
What are the prime factors of 2078504?
2, 259813
What are the prime factors of 220606?
2, 73, 1511
What are the prime factors of 536115?
3, 5, 103, 347
List the prime factors of 4395516.
2, 3, 366293
What are the prime factors of 13050702?
2, 3, 7, 103577
What are the prime factors of 4536433?
11, 17, 1427
List the prime factors of 1287091.
13, 181, 547
What are the prime factors of 272588?
2, 68147
What are the prime factors of 373300?
2, 5, 3733
List the prime factors of 2108768.
2, 65899
What are the prime factors of 7454950?
2, 5, 149099
List the prime factors of 172276.
2, 13, 3313
What are the prime factors of 4353059?
1553, 2803
What are the prime factors of 108401?
108401
What are the prime factors of 13525815?
3, 5, 19, 47459
List the prime factors of 7661153.
101, 75853
What are the prime factors of 1167259?
179, 6521
What are the prime factors of 775189?
775189
What are the prime factors of 100736?
2, 787
What are the prime factors of 176610?
2, 3, 5, 7, 29
List the prime factors of 85361.
85361
List the prime factors of 8303762.
2, 37, 112213
What are the prime factors of 213204?
2, 3, 109, 163
What are the prime factors of 6187207?
13, 23, 20693
List the prime factors of 769349.
7, 2243
What are the prime factors of 399901?
23, 17387
List the prime factors of 3691720.
2, 5, 17, 61, 89
List the prime factors of 168431.
43, 3917
What are the prime factors of 2379372?
2, 3, 198281
List the prime factors of 1955469.
3, 631, 1033
List the prime factors of 760906.
2, 380453
What are the prime factors of 176574?
2, 3, 29429
What are the prime factors of 6316837?
6316837
List the prime factors of 609782.
2, 509, 599
What are the prime factors of 619868?
2, 353, 439
List the prime factors of 36504655.
5, 11, 107, 6203
What are the prime factors of 2780?
2, 5, 139
What are the prime factors of 21131026?
2, 7, 31, 181, 269
What are the prime factors of 122619?
3, 7, 5839
List the prime factors of 1291658.
2, 19, 1789
What are the prime factors of 237209?
7, 47, 103
List the prime factors of 8681203.
17, 257, 1987
List the prime factors of 1501632.
2, 3, 11, 79
What are the prime factors of 2527641?
3, 163, 1723
What are the prime factors of 3590699?
7, 31, 16547
What are the prime factors of 1014589?
4
|
{
"pile_set_name": "DM Mathematics"
}
|
/x)**(2/41) assuming x is positive.
x**(1524/1435)
Simplify (v**17*v)/v*v**(-16)*(v**(-4))**(-39) assuming v is positive.
v**157
Simplify ((y/(y**(-2)/y))**(-2)*y**(-10)/y**(-2/7))**(4/3) assuming y is positive.
y**(-496/21)
Simplify (w**(-5)/w)**(-2/49)/(w*w**(-8/7)*w/w**(1/8)) assuming w is positive.
w**(-191/392)
Simplify g*g/((g*(g**(1/3)*g)/g)/g*g)*g/((g/g**(-2/57))/g)*g**(-19)*g**(2/17) assuming g is positive.
g**(-5572/323)
Simplify ((u*u**(4/7)/u*u)/(u*u**(-8/5)*u))/((u**(-9)*u)/u**27) assuming u is positive.
u**(1266/35)
Simplify (n**2/n)**(2/15)*((n*n*n**(-2)*n)/n*n*n)**(-3/10) assuming n is positive.
n**(-7/15)
Simplify (u*u/(u*((u*u*((u*u*u**(-1/35))/u*u)/u)/u*u)/u))**(39/4)*u*((u/((u*u**29/u)/u))/u*u)/u*u**17/u assuming u is positive.
u**(-1433/70)
Simplify (s*s**(-4)*s)**(-4)*(s/(s/s**(2/5)))**30 assuming s is positive.
s**20
Simplify ((o*o/(o*o**0*o*o))/o)/((o/((o*o**(-1/18)/o)/o*o)*o)/o)*o**(-1)/o**(1/25) assuming o is positive.
o**(-1843/450)
Simplify ((j/(j**(-9/2)/j))/(j*j**(-2/39)*j*j))/(j/(j*j**(-11)*j)*j*j**(1/4)) assuming j is positive.
j**(-1201/156)
Simplify (((p/p**(-6))/p*p**(-1/5))**(4/7))**(2/59) assuming p is positive.
p**(232/2065)
Simplify (u/(u/(u*u*u*u/(((u**(-1/4)/u)/u)/u)*u*u))*u**(-1/12))**(-19) assuming u is positive.
u**(-1045/6)
Simplify k**(1/7)/(k/(((k**(-9)*k*k)/k)/k))*k**(1/7)/((k*k**(-6)*k)/k) assuming k is positive.
k**(-33/7)
Simplify (s**(-1/6)/(s**(1/2)*s)*s*s**(-2/9)*s*s**(1/4))**(-1/4) assuming s is positive.
s**(-13/144)
Simplify (y**5)**(3/14)*(y/(y/(y**10*y)))/y**(-2/5) assuming y is positive.
y**(873/70)
Simplify (p*p**(-26))/(p/(p*(p/(p**32/p))/p))*p**(-17/2)/p**(-14) assuming p is positive.
p**(-101/2)
Simplify (k*(k**(1/3)*k)/k)/(k*k*(k/k**(-20))/k)*(k*k/(k/(k**(5/6)*k)))/(k**(4/7)/k) assuming k is positive.
k**(-731/42)
Simplify (n**(2/5)/n**(-8))/((n*n**(-1/4))/(n*n**(-4/9))) assuming n is positive.
n**(1477/180)
Simplify (r/(r**(-6/11)/r)*r**(-17))**42 assuming r is positive.
r**(-6678/11)
Simplify (q/(q/(q*q**(2/23))*q)*q**(1/37)/q)/((q**(-1/28)*q)/(q**(-13)/q)) assuming q is positive.
q**(-377681/23828)
Simplify ((f**24/f)/f*f)**(-13/4)/(f*(f*f*f**4)/f)**(-3) assuming f is positive.
f**(-227/4)
Simplify (p**(2/11)*p)**22/(p*p**4)**(1/47) assuming p is positive.
p**(1217/47)
Simplify a**(-11)*a*a**(-13)*a/(a*a**(2/9)/a)*a*a**(2/7) assuming a is positive.
a**(-1319/63)
Simplify ((g**(-21)/g)/g)/g**(13/3)*g**(-5)*g/g**(-3/4) assuming g is positive.
g**(-367/12)
Simplify ((b/b**7)/b**6)/(b**(-1/20)/(b*b**1)) assuming b is positive.
b**(-199/20)
Simplify x*(x**(1/18)/x)/x*(x*x**15*x)/x*x*x**(1/12)/(x/(x*x**(1/7))) assuming x is positive.
x**(4103/252)
Simplify (d**(-2/3))**(1/18)/((d/d**(-15))/((d**7/d)/d)) assuming d is positive.
d**(-298/27)
Simplify (m/(m/m**(-2/25)))**(-9)/((m**(2/23)*m*m)/(m*m**(32/3))) assuming m is positive.
m**(17767/1725)
Simplify (r*r**(-12/11)*r/(r*r/((r/(r**(-1/3)/r)*r)/r)))/(r/((r*r/(r/r**(-8)))/r)*r**(-1/3)) assuming r is positive.
r**(-245/33)
Simplify (j*j/(j*(j**(-4)/j)/j*j)*j)**(1/18)/(j**(-12)/j**(1/7)) assuming j is positive.
j**(1579/126)
Simplify (((a/(a*a**(2/19)))/a)/(a**9*a))/(a/(a*a*a**(6/11)))**(4/19) assuming a is positive.
a**(-2253/209)
Simplify ((f/(f**(2/15)*f)*(f/f**11*f)/f)**(-46))**(-37) assuming f is positive.
f**(-258704/15)
Simplify (z**16/(z/(z**(-2/25)/z)))/(z**(-3/22)*z**(-3/2)) assuming z is positive.
z**(4278/275)
Simplify t**(3/14)/(t/(t*t*t**(-12))*t)*t**(-4)/((((t*t**11*t)/t)/t)/t) assuming t is positive.
t**(-361/14)
Simplify (u**(1/7))**(-8/5)*u**(6/7)/(u*u/(u**3/u)) assuming u is positive.
u**(22/35)
Simplify ((l**7*(l**(-4)*l)/l)**(-18))**(-1/30) assuming l is positive.
l**(9/5)
Simplify (t**(-1/12)/(((t/(t**(-8)*t))/t)/t))/(t/(t*t**(2/27))*t**(9/5)) assuming t is positive.
t**(-4217/540)
Simplify ((v**(-2/5))**(-35)*v/(v*v**(-2/13)/v)*v**(-1/12)*v)**(2/33) assuming v is positive.
v**(2507/2574)
Simplify (v**(-22)*v)/v*(v/(v/(((v**(1/11)/v)/v)/v)*v*v*v)*v)/v*(v**(-2/47)/v)/(v/v**(-12/11)) assuming v is positive.
v**(-1459/47)
Simplify (h**(2/15)/h)**(-1/20)/(h**(1/8))**5 assuming h is positive.
h**(-349/600)
Simplify ((m/(m**2/m)*m*(m/(m*m*m**3*m))/m)/(m/(m*m**0*m))**37)**(-3/20) assuming m is positive.
m**(-24/5)
Simplify (u**5/(((u*((u*u**(1/6)*u)/u)/u)/u)/u*u)*(u**(5/3)*u*u)/u**(2/13))**29 assuming u is positive.
u**(6293/26)
Simplify (d/((d/d**(-6/13))/d*d)*(d**(2/11)/d)/d)/(d**(-2/49)*d*d**16/d) assuming d is positive.
d**(-127800/7007)
Simplify ((c/c**(1/5))/c**10)/(c*c/c**(1/4)*c**(-9)) assuming c is positive.
c**(-39/20)
Simplify (a**(-10)*a*(a*a*a/((a*(a*a*(a**43*a)/a)/a)/a)*a)/a*a)**(-18/5) assuming a is positive.
a**(882/5)
Simplify (x**5)**(2/9)/(x**(-24))**(-30) assuming x is positive.
x**(-6470/9)
Simplify ((g**(-4)/g**(-3))**(-17))**12 assuming g is positive.
g**204
Simplify ((p**(-3/7)*p/(p**(-3/2)*p))**1)**(-10) assuming p is positive.
p**(-75/7)
Simplify (u/u**(-2))**(-18)/(u**(1/2)/(u*u**(1/24)*u)) assuming u is positive.
u**(-1259/24)
Simplify n*n/(n*n**16)*n/(n/n**(-1/6))*(n**(-11/5)/n)/(n*n/(n*n/(n**(-14)/n))) assuming n is positive.
n**(-101/30)
Simplify ((t**(-6)/t*t)/(t**(-9)*t))/(((t**3/t)/t)/t**(1/11)) assuming t is positive.
t**(12/11)
Simplify (i**(-1/13)*i**22)/(i**(-15/7)/(i/((i/(i/(i/(i*i/(i/(i**2/i))))))/i))) assuming i is positive.
i**(2463/91)
Simplify (x**(3/29))**8*x**7/(x/(x*((x**(-33)*x)/x)/x)) assuming x is positive.
x**(-759/29)
Simplify (l**(-2/7)/l*l**(-4))/(l*l**(-1)*(l/l**12)/l) assuming l is positive.
l**(47/7)
Simplify v**(2/51)*(v**12/v)/v*v**12*v*v**0/v assuming v is positive.
v**(1124/51)
Simplify g**11/(g**(-2/43)*g)*(g*g/(g/(g*g*g/(g**(-8)/g)))*g)/(g*g/(g*g/g**(-15))) assuming g is positive.
g**(1679/43)
Simplify (((z*z**(-1))**30)**(-14/11))**1 assuming z is positive.
1
Simplify (k**(-5/7))**(-14)/(k**(3/4)/(k/(k/((k/((k*(k**13/k*k)/k*k)/k*k*k))/k)))) assuming k is positive.
k**(-23/4)
Simplify ((s/(s**(-21)*s))/(s**(2/17)*s))/(s*s**(-1))**36 assuming s is positive.
s**(338/17)
Simplify ((l**21/l**(-24))**29)**30 assuming l is positive.
l**39150
Simplify ((d**(2/11)/(d**(-2/17)/d))/(d**1*d**(-4)))**(2/79) assuming d is positive.
d**(1608/14773)
Simplify (z**(5/4))**(3/2)*z**(-3/11)/((z*z/z**(-2/9)*z)/z) assuming z is positive.
z**(-491/792)
Simplify (z/(z/z**(-29)))**(-24)/(z*z**(3/17)/z*z/(z**37/z)*z) assuming z is positive.
z**(12407/17)
Simplify p**(-8)*p/p**(6/19)*(p**7)**(2/45) assuming p is positive.
p**(-5989/855)
Simplify (i**(-3))**17/((((((i**5*i*i)/i)/i)/i)/i)/(i*i**(12/11))) assuming i is positive.
i**(-571/11)
Simplify ((((q**6/q)/q)/(q/((q/q**8)/q)*q))**43)**(-2/77) assuming q is positive.
q**(516/77)
Simplify x**(-1/14)*(x/x**(1/16))/x*(x**9/x*x)/(x*x*x**(-2/13)*x*x*x) assuming x is positive.
x**(5853/1456)
Simplify (a**(-12)/a**(-1/5))/(a**4)**(-1/9) assuming a is positive.
a**(-511/45)
Simplify (a**(-2/11)*a**(-4))/(a**(-2/13))**(-20) assuming a is positive.
a**(-1038/143)
Simplify (g*g/(g/g**(-2/11))*g**(-5/2))/(g**23/((g*g/g**(1/14)*g*g)/g)) assuming g is positive.
g**(-1675/77)
Simplify ((b/(b*b**(1/7)))**27/(b**(-1))**(-17))**49 assuming b is positive.
b**(-1022)
Simplify (p/((p/((((p*p/(p*(p*p**(-1/19))/p))/p)/p)/p))/p)*p)/p*p**3/p*(p**(19/5)*p)/(p*p/(p**(-5)/p)) assuming p is positive.
p**(-204/95)
Simplify ((x*x/x**(-6))/x)**(-2/7)*x**11/(x*(x*(x*((x*x*x**(-4)*x)/x)/x*x)/x)/x) assuming x is positive.
x**10
Simplify k**(-3)*k/k**(-1/3)*(k**(-1/2))**(2/73) assuming k is positive.
k**(-368/219)
Simplify w**6*w**(-28)*w*w**(7/4)*w/((w**(-10)*w)/w*w) assuming w is positive.
w**(-37/4)
Simplify (((i*i**(-2/7)/i*i)/((i/(i**(-5)*i))/i))**(-2))**(22/7) assuming i is positive.
i**(1012/49)
Simplify j**(-1/8)*j**3*j**(-9)*j*j**(-2) assuming j is positive.
j**(-57/8)
Simplify q**17/(q*q**10*q)*(q*q**8)/q*q*q**24 assuming q is positive.
q**38
Simplify ((y*y**(2/7))**31*y**(-6)/(((y**(2/27)/y)/y)/y))**(-2) assuming y is positive.
y**(-13904/189)
Simplify g**(-6)*(g**(8/5)*g)/g*g*(g/(g/g**(-2/5)))/(g**(2/7)/g) assuming g is positive.
g**(-108/35)
Simplify (b**(-2/39))**48*b**(-17)*b**26*b assuming b is positive.
b**(98/13)
Simplify (r**8/(r/r**(1/9))*r*r**(2/7)*r**(-5)/r)**(1/30) assuming r is positive.
r**(151/1890)
Simplify (((k*k/k**(1/3))/(k*k/(k*k/(k
|
{
"pile_set_name": "DM Mathematics"
}
|
1/10 and 2/7 + 282/y.
10
Let j = 6 + 11. Suppose 4*p - 27 = j. Suppose 3*v + 3*r - 2*r - 23 = 0, -v - 2*r + 11 = 0. Calculate the smallest common multiple of v and p.
77
Let y be (-9)/(-6)*1*2. Calculate the common denominator of 19*2/((-36)/(-1)) and 226/24 + y/(-9).
36
Let d = 0 + 3. Let f be -2*d/(30/11069). Let a = f + 2205. Calculate the common denominator of a and -49/8.
40
Let o = 3471314/1258065 - -1/93190. What is the common denominator of -55/12 and o?
108
Let k = 1224 + -8606/7. Find the common denominator of k and 6/4*(16 + (-3 - -6)).
14
Let d = -472 - -677. Let i = d - 593/3. What is the common denominator of i and 52/5?
15
Let j = 2 + 1. Suppose z - 29 = -3*g, j*z - 3 - 12 = 0. What is the smallest common multiple of g and 8?
8
Suppose -32 = 2*k + 18. What is the common denominator of -83/10 and 1/4 + k/6?
60
Suppose 12 = -p + 3*h, 2*p + 27 - 9 = 3*h. Calculate the smallest common multiple of (-38)/(-4) - (-3)/p and 4.
36
Let l(n) = n**2 + 12. Let h be l(0). Calculate the common denominator of -29/2 and (213/(-8))/((-9)/h).
2
Suppose -30 = -3*r - 3*a, 5*r - 18 = 7*a - 4*a. Calculate the least common multiple of 16 and r.
48
Suppose 2*o + 102 = 2*k, -5*k - o - 2*o = -215. Let l = -9427/205 + k. Let b = 5559/1640 - l. Calculate the common denominator of b and 41/16.
16
Suppose 0 = 9*j - 13 - 14. Calculate the lowest common multiple of 24 and j.
24
Let r(w) = -w**2 - 2*w + 14. Suppose -1 - 15 = -2*d + 2*o, 0 = -5*d + 4*o + 37. Calculate the lowest common multiple of r(-4) and d.
30
Suppose -3*j - h - 13 = 2*j, -20 = 4*j + 4*h. Calculate the common denominator of -49/10 and j/((2 - 2) + -4).
10
Suppose 0 = -n - 3*p - p - 418, 2*p - 1296 = 3*n. Let f = 5955/14 + n. Calculate the common denominator of f and 7/8.
56
Suppose -3*z + 4*z - 8 = 0. Let x(p) = -p**2 + 7*p + 9. Let d be x(z). Let q = 7 + d. Calculate the smallest common multiple of q and 16.
16
Let l(k) = k**2 + 2*k - 7. Suppose -2*b - 2*b = 20. Let t be l(b). What is the lowest common multiple of (-18)/t*(-48)/18 and 6?
6
Calculate the common denominator of (-1248)/60*(0 - 3)/12 and (-57)/7 + 1 + 1.
35
Calculate the common denominator of 127/6 and (-5)/20*-15 + -1.
12
Let l be 2*20 + -1 - 2. Suppose 5*k + 1 + 1 = 3*b, -3*b = 2*k - l. Suppose -2*p = -3*m + 33, -p - 11 = -m - 2*p. What is the lowest common multiple of b and m?
99
Suppose -5*d = 0, 2*t - 5*d + 0*d - 10 = 0. Suppose m - 16 = -4*m - 3*x, 2*x - 2 = m. What is the smallest common multiple of m and 3 + -1 + -1 + t?
6
What is the common denominator of (-682)/2044 + 4 + 130/(-35) and 119/18?
1314
Suppose -z + 11 = 2. Let o(k) = -k + 13. Let w be o(z). Suppose 0 = -3*y + w*y - 14. What is the lowest common multiple of y and 4?
28
Let l = -18871 + 415241/22. Calculate the common denominator of l and -131/6.
66
Let f(v) = -v**3 + 21*v**2 - 38*v + 12. What is the least common multiple of f(19) and 50?
300
Let l(z) = 5*z**2 + 2*z - 1. Calculate the smallest common multiple of l(1) and 9.
18
Calculate the common denominator of 42/16*(19/15 + 1) and 133/6.
60
Let k = 7 - 4. Suppose -26*z = -31*z + 55. What is the least common multiple of k and z?
33
Let f = 3 - -13. Calculate the smallest common multiple of 4 and f.
16
Let h(t) = t**2 + 12*t - 21. Let i be h(-10). Suppose -2*g + 81 = -5*g. Let f = g - i. Calculate the smallest common multiple of 10 and f.
70
Let r = -26 + 12. Let f = r + 20. Calculate the common denominator of 68/(-8)*f/8 and 95/16.
16
Let o = 8 + -25. Find the common denominator of 320/50 - 7 - 502/(-20) and o.
2
Let a = -6814 - -122515/18. What is the common denominator of -3*(3 - 63/(-6)) and a?
18
Let q be 258/195 - (3 + -1). Let f = 3763/1430 + q. Find the common denominator of 103/6 and f.
66
Let q = -433/414 + 86/207. Calculate the common denominator of q and 121/10.
230
Find the common denominator of -2*((-486)/(-32))/3 and 86/20 - 2/(-5).
40
Suppose 0*t = -3*t + 9. What is the smallest common multiple of 8 and 10 - (t - (-1 + 1))?
56
Suppose -5*o = -122 + 37. Let i = o + -6. What is the lowest common multiple of 11 and i?
11
Let w = 45 + 1. Find the common denominator of -67/46 and w.
46
Find the common denominator of (-165)/48 + 3/(-2) and 103/20.
80
Calculate the common denominator of 1210/100 + 3/(-5) and -53/9.
18
Suppose -2*f - 3 = f. Let q be (-6)/15 + (-387)/(-5). Find the common denominator of -19/16 and f/3 + q/24.
16
Calculate the common denominator of (-1)/(-6) + 276/(-9) and -16/3.
6
Calculate the smallest common multiple of 2 and (-1)/6 - 165/(-18).
18
What is the lowest common multiple of 2 and (-2 + 1)*-21 + -3?
18
Suppose 3*i = 38 + 4. What is the least common multiple of i and 39/4 + 12/(-16) - -5?
14
Suppose -9*j + 882 = -234. What is the lowest common multiple of j and 8?
248
Let u be ((-29)/2)/(6/(-12)). Let v = 33 - u. Let z = -1 - -5. What is the lowest common multiple of v and z?
4
Calculate the common denominator of (-706)/80 - 4/5 and 89/14.
56
Let t = 170/7 + -181/7. Calculate the common denominator of (-3)/5 - (-176)/(-15) and t.
21
Let d(y) = -3*y**3 - y**2 - y - 1. Let s = 8 + -9. Let a be d(s). Calculate the common denominator of 93/a*(-5)/(-60) and -49/16.
16
Find the common denominator of -93/2 and -3 + 1 - (-97)/(-2).
2
Let o(n) = 2*n**2 + 2. Let y = 36 + -14. Calculate the lowest common multiple of y and o(-2).
110
Suppose 4*p = 49 + 63. Suppose 5*n - 5*d = 71 - 11, -d = 3*n - p. What is the least common multiple of n and 2?
10
Let t = 139343/12 + -11601. Let g = -21/4 - -139/12. Find the common denominator of g and t.
12
Suppose -3*n - 4*h + 1 = 0, 3*h - 2*h = -3*n + 7. Suppose -2*y = n*y + 5*s - 60, -34 = -4*y + 3*s. What is the least common multiple of y and 11?
110
Let x = -11948 - -119377/10. What is the common denominator of (-3)/(-4)*390/27 and x?
30
Let v = -10 - -10. Suppose -4*r + 5*f = 15, -4*r + 2*f = -v*f + 30. Calculate the least common multiple of 68/20 + 4/r and 4.
12
Let b = 130 + -1765/14. What is the common denominator of b and -127/6?
42
Let j = -91 - -93. Calculate the least common multiple of 16 and j.
16
Let v(h) = 2*h**2 + 2*h - 3. Let w be v(3). Suppose 1 = -5*r + w. What is the lowest common multiple of r and 9?
36
Let a be -6810 + 1 - (-1 - 3). Let s = 81761/12 + a. Calculate the common denominator of s and -19/2.
12
Let t = -2659/4 - -661. What is the common denominator of -91/6 and t?
12
Let v = 583 - 5234/9. Let t be (0 - 2) + (-12)/3. Find the common denominator of t/21*(-159)/(-6) and v.
63
Suppose 8*g - 5*g - 9 = 0. Suppose -l + 32 = 5*u - 4*l, 0 = g*u + 3*l. Suppose 0 = j - 3*j + 24. Calculate the lowest common multiple of j and u.
12
Calculate the common denominator of -19/11 and 27/(-36) + (-55)/(-12) + 0.
66
Let v(q) = 13*q**3 + q. Let b = -12 - -32. What is the least common multiple of b and v(1)?
140
Let j(w) be the second derivative of -w**4/12 + w**3/6 + 3*w**2 + w. Let t = 56 + -45. Calculate the smallest common multiple of j(0) and t.
66
What is the smallest common multiple of 11 and (-7 + 4)/(3/(-4))?
44
Suppose 0 = -2*d + 4*t - 24, 5*d + 0 + 15 = t. Let l be (-257993)/(-60) - d/(-3). Let w = -12914/3 + l. Calculate the common denominator of w and -63/16.
80
Suppose -5*u + 2*u = 2*d - 7, 4*d = u - 7. Suppose -24 = -u*r + 30. What is the lowest common multiple of r and 12?
36
Let l = 624/43 - 923649/63640. Let j = 42893/13320 - l. Calculate the common denominator of 38 and j.
9
Let c = -3 + 5. Let y be -2 + 2 + c - -4. Calculate the common denominator of ((-1)/(-6))/(y/513) and 47/9.
36
Suppose 0 = 2*p - 5*p + 54. What is the smallest common multiple of 33 and p?
198
Let v(q) = q - 10. Calculate the least common multiple of 33 and v(11).
33
Suppose 0 = 8*s - 447 - 161. Calculate the least common multiple of 8 and s.
152
Let h(k) = k**3 - 3*k**2 - 2*k + 4. Let w be h(3). Find the common denominator of 0 - w*85/12 and (-2)/(-3) + 494/(-12).
6
Suppose 0 = 4*y + 4 - 0. Suppose -6 = -3*o + 3. Find the common denominator of -15/7 and y*o/12*-1.
28
What is the common denominator of -7/24 and 2/48*8*298/16?
24
Let n = -22162345025004863 + 73069252268830783573/3297. Let v = -218801871 + n. Let s = v - -8/471. Calculate the common denominator of 93/10 and s.
70
Suppose 7 = -4*g - 2*d + 21, -2*g = -3*d + 5. Suppose 13 = -5*i - 2,
|
{
"pile_set_name": "DM Mathematics"
}
|
91*t**2 - 3*t - 1. What is f(-1)?
-89
Let k(i) = i**2 - 11*i + 8. Calculate k(7).
-20
Let d(o) = 7*o + 55. Determine d(-7).
6
Let p(s) = -169*s + 6. Give p(-1).
175
Let u(o) = -o**3 + 10*o**2 - 19*o + 3. What is u(3)?
9
Let m(b) = -b**3 - 9*b**2 - 10*b - 1. Calculate m(-8).
15
Let x(y) = 2*y**3 + 2*y**2 + 2*y - 2. What is x(-2)?
-14
Let r(j) = -10*j - 2. Calculate r(2).
-22
Let k(y) = -y**3 + 12*y**2 - 19*y - 3. Give k(10).
7
Let c(o) = -o**3 - 6*o**2 - 4*o + 7. Give c(-5).
2
Let c(v) = v**2 - 3*v - 4. Determine c(3).
-4
Let b(x) = -13*x + 30. What is b(2)?
4
Let n(a) = 7*a + 2. Calculate n(-6).
-40
Let v(l) = -l**3 + 4*l**2 + 13*l - 8. Determine v(6).
-2
Let s(v) = 11*v + 164. Determine s(-15).
-1
Let q(c) = 3*c**2 + 60*c - 61. Determine q(-21).
2
Let r(q) = q**2 - 8*q - 6. Determine r(8).
-6
Let h(m) = m + 68. Give h(-14).
54
Let g(p) = -85*p**2 + 2. What is g(1)?
-83
Let z(q) = -q**2 + 4*q + 13. Give z(7).
-8
Let s(r) = -r**3 + 6*r**2 - 4*r + 12. What is s(7)?
-65
Let h(t) = -3*t + 11. Give h(0).
11
Let g(i) = 8*i - 8. Give g(-5).
-48
Let v(f) = -6*f + 15. Give v(6).
-21
Let t(v) = -v**2 - 30*v - 3. Determine t(0).
-3
Let i(d) = d**2 - 19*d - 20. Determine i(21).
22
Let q(s) = s**3 + 8*s**2 - 4*s - 20. What is q(-8)?
12
Let k(z) = z**3 - 24*z**2 - 22*z - 44. What is k(25)?
31
Let d(f) = -47*f**3 - f**2 - 3*f - 2. What is d(-1)?
47
Let d(q) = 3*q**2 + 3*q. Determine d(-2).
6
Let g(s) = 10*s**2 + 15*s - 15. What is g(1)?
10
Let p(n) = -n**3 - 6*n**2 + 11*n + 4. Give p(-5).
-76
Let y(m) = -m**2 + 24*m + 18. Give y(25).
-7
Let s(y) = y**2 - 16*y - 128. What is s(22)?
4
Let n(l) = -l**3 + 18*l**2 + 20*l + 14. What is n(19)?
33
Let w(n) = n**3 - 12*n**2 + 4*n - 25. Give w(12).
23
Let t(c) = 4*c**2 - 5*c + 3. What is t(3)?
24
Let p(u) = 16*u**2 - 99*u + 17. Determine p(6).
-1
Let d(w) = -w**3 - 24*w**2 + 22*w - 72. Give d(-25).
3
Let k(f) = 2*f**3 + 32*f**2 - 37*f - 41. Give k(-17).
10
Let s(c) = -c**2 - 6. Calculate s(0).
-6
Let b(y) = -2*y + 17. What is b(7)?
3
Let p(z) = z. Calculate p(-4).
-4
Let a(i) = i**2 + 29*i + 192. Determine a(-19).
2
Let q(h) = 19*h**2 - 1. Calculate q(2).
75
Let h(y) = -y**2 - 8*y + 26. Determine h(-10).
6
Let q(h) = h**3 - 4*h**2 + 5*h - 7. Determine q(4).
13
Let x(t) = 14*t + 103. Determine x(-7).
5
Let c(a) = a**2 - 7*a + 5. Determine c(5).
-5
Let g(d) = -5*d + 40. Calculate g(7).
5
Let l(q) = 3*q**3 - 43*q**2 + 16*q - 29. Determine l(14).
-1
Let y(n) = -8*n - 9. What is y(2)?
-25
Let x(n) = -2*n + 10. What is x(0)?
10
Let s(l) = -l**3 - 8*l**2 - 10*l - 4. What is s(-5)?
-29
Let d(m) = m**3 + 17*m**2 + 36*m + 22. Determine d(-15).
-68
Let n(m) = -m**2 - 11*m + 3. Give n(-6).
33
Let g(t) = t**2 + 28*t - 206. Give g(6).
-2
Let d(m) = -44*m + 13. Give d(1).
-31
Let b(x) = -14*x + 154. What is b(11)?
0
Let u(f) = 12*f**3 + f**2 - 7*f - 9. Calculate u(-1).
-13
Let b(l) = 9*l**3 + l**2 + l - 2. Calculate b(1).
9
Let c(u) = -u**2 + 8*u - 11. What is c(7)?
-4
Let g(o) = -9*o - 96. Calculate g(-10).
-6
Let b(g) = -5*g**2 - 2*g - 1. Determine b(-3).
-40
Let k(b) = b**2 - 4. Give k(7).
45
Let h(l) = 10*l - 172. Calculate h(14).
-32
Let k(v) = -v**2 - 10*v + 13. What is k(2)?
-11
Let a(m) = 2*m**3 - 4*m**2 + 6. What is a(-2)?
-26
Let h(f) = -f**2 + 7*f + 65. What is h(13)?
-13
Let z(g) = g**3 + 21*g**2 - 47*g - 30. Give z(-23).
-7
Let i(r) = -26*r**3 + r**2 - 1. Give i(1).
-26
Let i(m) = -m - 4. What is i(4)?
-8
Let d(m) = -17*m**3 - 2*m**2 + 4*m + 6. Calculate d(-1).
17
Let v(r) = -55*r + 9. Determine v(-1).
64
Let b(n) = -n**2 - 16*n + 84. Determine b(4).
4
Let k(i) = 156*i + 1247. Calculate k(-8).
-1
Let i(k) = k**3 + 2*k**2 - 7*k - 21. Calculate i(-3).
-9
Let p(o) = o**3 - 10*o**2 - 4*o + 45. What is p(10)?
5
Let d(i) = -26*i + 413. Calculate d(16).
-3
Let u(f) = -f**2 + 14*f - 15. What is u(13)?
-2
Let d(w) = -2*w**2 - 20*w + 15. What is d(-10)?
15
Let w(b) = -b**3 - 6*b**2 - 3*b + 13. Give w(-4).
-7
Let r(g) = -g**3 + 4*g**2 - 4*g + 9. What is r(4)?
-7
Let b(s) = 2*s**2 - 47*s + 19. Calculate b(23).
-4
Let s(z) = -z**2 + 4*z + 5. Give s(6).
-7
Let z(q) = 23*q + 75. What is z(-9)?
-132
Let a(y) = 13*y**2 + 2*y - 2. Calculate a(2).
54
Let c(n) = -n**3 - 10*n**2 + 14*n + 5. Calculate c(-11).
-28
Let k(r) = 75*r + 2. Give k(1).
77
Let v(q) = -39*q**2 - q. What is v(-1)?
-38
Let i(l) = 2*l**2 + 2*l - 2. Calculate i(0).
-2
Let r(i) = 2*i**3 - 16*i**2 - 3*i + 10. Determine r(7).
-109
Let w(x) = x**3 - 4*x**2 - 19*x - 11. Determine w(7).
3
Let z(t) = 12*t + 99. Give z(-7).
15
Let z(y) = y**3 - 5*y**2 + 2*y + 1. Give z(4).
-7
Let w(f) = -5*f + 5. Determine w(-2).
15
Let q(r) = -3*r**3 - 4*r**2 - 3*r - 2. What is q(-2)?
12
Let q(i) = 13*i + 149. What is q(-12)?
-7
Let m(y) = y**2 - 7*y + 7. Calculate m(7).
7
Let c(t) = t**2 - 6*t - 12. Determine c(9).
15
Let r(g) = 49*g - 782. What is r(16)?
2
Let j(q) = 6*q - 3. Give j(9).
51
Let a(u) = -u**2 + u + 60. Determine a(0).
60
Let a(x) = -7*x**2 + 9*x + 16. Calculate a(-2).
-30
Let y(h) = h**3 - 7*h**2 + 11*h + 3. What is y(6)?
33
Let k(n) = -2*n + 42. Calculate k(22).
-2
Let r(i) = i**3 + 2*i**2 - 2*i + 1. Give r(-3).
-2
Let q(l) = -l**2 + 6*l + 6. Determine q(7).
-1
Let m(q) = q**2 + 15*q + 15. Determine m(-11).
-29
Let u(q) = q**2 - 5*q - 3. Determine u(6).
3
Let i(p) = p**2 - 23*p + 1. Determine i(24).
25
Let c(y) = -10*y**2 + 3*y - 3. What is c(2)?
-37
Let r(a) = 5*a - 114. What is r(22)?
-4
Let x(h) = 58*h + 1394. Calculate x(-24).
2
Let c(t) = -t**3 + 11*t**2 - 16*t + 3. Calculate c(9).
21
Let h(c) = -7*c - 13. Give h(-3).
8
Let v(r) = -4*r + 8. Give v(-6).
32
Let p(v) = -12*v - 1. Determine p(4).
-49
Let r(q) = -q**3 + 13*q**2 + 14*q + 11. What is r(14)?
11
Let n(h) = -2*h**2 + 16*h - 17. Determine n(10).
-57
Let q(z) = z**3 - 28*z**2 - 93*z + 2. Calculate q(31).
2
Let v(q) = q**3 + 4*q**2 + 2*q - 2. Determine v(-3).
1
Let d(a) = -a**2 - 6*a + 1. Give d(-6).
1
Let z(a) = a**2 + 7*a + 6. Calculate z(-1).
0
Let b(a) = 11*a + 82. What is b(-7)?
5
Let k(w) = -2*w**3 - 20*w**2 - 50*w - 6. What is k(-6)?
6
Let f(p) = 17*p**2 - 6*p - 4. Give f(-2).
76
Let q(u) = u**2 + 3*u + 1. Give q(3).
19
Let q(b) = -b**2 - 12*b - 15. Calculate q(-12).
-15
Let t(m) = m**3 - 8*m**2 - 18*m - 18. Give t(10).
2
Let y(v) = -v**3 - 14*v**2 + 12*v - 10. Calculate y(-15).
35
Let n(y) = y**3 - 17*y**2 + 11*y + 72. What is n(16)?
-8
Let o(s) = -2*s**2 - 8*s. Calculate o(-4).
0
Let p(x) = x**3 - 9*x**2 - 14*x + 32. Calculate p(10).
-8
Let q(p) = p**3 - 6*p**2 - 11*p - 11. What is q(8)?
29
Let p(o) = -o - 30. What is p(-16)?
-14
Let j(l) = l**2 - 15*l + 39. What is j(16)?
55
Let f(a) = -a**3 + 24*a**2 - 44*a + 19. Give f(22).
19
Let g(p) = p**3 - 29*p**2 - 2*p + 77. Determine g(29).
19
Let k(a) = -a**2 + 3*a + 12. Determine k(6).
-6
Let q(a) = -a**2 - 16*a + 40. What is q(-18)?
4
Let q(o) = -10*o**2 + 11*o + 4. Determine q(-3).
-119
Let j(k) = 15*k**2 + 126*k - 3. What is j(-8)?
-51
Let p(l) = -l**3 + 16*l**2 + 19*l - 11. Calculate p(17).
23
Let x(m) = -2*m**2 + 46*m + 45. What is x(23)?
45
Let a(c) = c**3 + 5*c**2 - 8*c - 5. Give a(-6).
7
Let j(y) = 3*y**2 - 8*y + 10. Determine j(4).
26
Let p(d) = d**3 - 10*d**2 + 10*d - 6. Calculate p(9).
3
Let i(b) = -3*b + 51. Give i(16).
3
Let l(y) = -60*y - 482. Calculate l(-8).
-2
Let l(y) = 3*y + 35. Give l(-13).
-4
Let s(p) = -11*p + 60. Give s(6).
-6
Let u(b) = -2*b**2 + 17*b - 17. Calculate u(11).
-72
Let v(j) = 2*j**2 - 6*j + 3. What is v(4)?
11
Let t(j) = -4*j - 9. What is t(3)?
-21
Let l(d) = -d**2 - 3*d + 1. Determine l(3).
-17
Let r(w) = -w**3 - 2*w + 3. What is r(1)?
0
Let q(y) = -y**2 - 12*y - 7. Give q(-10).
13
Let j(r) = r**2 + 20*r + 1. Give j(-13).
-90
Let j(b) = -b**2 + 3*b. Calculate j(4).
-4
Let h(t) = t**3 + 15*t**2 + 10*t - 47. Give h(-14).
9
Let g(x) = -x + 19. Determine g(9).
10
Let k(q) = -16*q - 10. Give k(-5).
70
Let q(r) = r**3 - 11*r**2 + 22*r + 8. Give q(6).
-40
Let w(r) = r**2 + 17*r + 44. Give w(-14).
2
Let t(v) = -5*v**2 - 7*v + 7. Calculate t(1).
-5
Let y(i) = 15*i - 1. Determine y(-1).
-16
Let v(d) = -d**3 - 5*d**2 - 7*d - 1. Give v(-6).
77
Let l(w) = w**2 - 6*w + 9. What is l(5)?
4
Let b(c) = c**2 + c - 4. Calculate b(-4).
8
Let x(b) = -b + 39. Give x(17).
22
Let q(d) = -9*d - 38. What is q(-6)?
16
Let m(c) = -4*c**3 + 2*c**2 + 2*c
|
{
"pile_set_name": "DM Mathematics"
}
|
u**2 - 8*u**5 + 10*u**2 + 6*u**x wrt u.
-120*u**2
Let k(u) = u**3 - 4*u**2 + 2*u + 3. Let t be k(3). Suppose t = -3*w + 1 + 5. Find the third derivative of -3*j**6 - j**2 - 4*j**w + 3*j**2 wrt j.
-360*j**3
Let i(z) = z. Let k(n) = -4*n - 1. Let b(l) = 6*i(l) + 2*k(l). Let s be b(-4). Find the third derivative of -5*o**6 - o**6 + 2*o**2 + 4*o**s wrt o.
-240*o**3
Let g be 12/54 + (-34)/(-9). What is the derivative of -g + 0*a + 4*a + 6 wrt a?
4
Let y = -4 + 8. Find the first derivative of y*g**2 - 3*g**2 - 2*g**2 + 1 wrt g.
-2*g
What is the third derivative of 2*q**2 - 24*q**2 + 186*q**4 - 178*q**4 wrt q?
192*q
Let d(y) be the first derivative of y**5/5 - 5*y**3/3 - 1. Let v(l) = 2*l**2. Let s(n) = -3*d(n) - 8*v(n). Find the third derivative of s(f) wrt f.
-72*f
Let o(s) = -18*s**3 - 6*s**2 + 3*s - 12. Let a(h) = -109*h**3 - 34*h**2 + 17*h - 73. Let l(w) = -6*a(w) + 34*o(w). Differentiate l(v) with respect to v.
126*v**2
Find the first derivative of -4 - 4*o**3 - 3 - 2*o**3 wrt o.
-18*o**2
Let a = 5 + -1. Find the second derivative of 3*o**a - o**2 - o - 2*o + o**2 wrt o.
36*o**2
Let u(n) be the first derivative of 5*n**8/336 + n**4/24 + 3*n**2/2 - 5. Let b(v) be the second derivative of u(v). Find the second derivative of b(j) wrt j.
100*j**3
Let u(p) be the third derivative of -p**6/20 - p**4/4 - 4*p**2. Find the second derivative of u(v) wrt v.
-36*v
Find the third derivative of -3*h**6 + 3*h**6 - 7*h**2 - 2*h**6 wrt h.
-240*h**3
Let n(k) be the first derivative of -2*k**4 + 6*k**2 - 10. What is the second derivative of n(f) wrt f?
-48*f
Let d = -9 + 4. Let q be 2/(-5) + (-12)/d. Find the second derivative of l - l**q - l + 4*l + 4*l**2 wrt l.
6
Suppose 3*q + 2*q = 25. Find the second derivative of -4*m + 6*m**q - 7*m**5 + m**5 + 10*m**5 wrt m.
200*m**3
Suppose 3*t - 29 = 2*g, 3*g - 4*g = -2*t + 18. What is the third derivative of 3*j**2 + 6*j**6 + 0*j**2 - t*j**6 wrt j?
-120*j**3
Let h be (-34)/6 - (-2)/(-6). Let x be 0*3/h - -1. Differentiate 3 - 6 - 2*y**3 + x with respect to y.
-6*y**2
Differentiate -15 - 48*s**2 - 44*s**2 - 8*s**4 + 92*s**2 wrt s.
-32*s**3
Let r = -4 - -10. Suppose -i - 2 = -r. Differentiate 3*b**4 - 2 - 2*b**4 + b**i wrt b.
8*b**3
Let l = 29 + -23. Let b(x) be the third derivative of 0*x + 0*x**3 - x**2 - 1/12*x**4 + 0*x**5 + 1/120*x**l + 0. What is the second derivative of b(a) wrt a?
6*a
Let c be ((-15)/6)/(-5)*0. Let q(n) be the second derivative of c + 0*n**4 - 1/6*n**3 - 1/5*n**5 + 0*n**2 - 3*n. Find the second derivative of q(a) wrt a.
-24*a
Let q(n) = 8*n**4 - 2*n**3 - 2*n**2 - 2. Let t(l) = -9*l**4 + 3*l**3 + 3*l**2 + 1. Let r(p) = 3*q(p) + 2*t(p). What is the first derivative of r(m) wrt m?
24*m**3
Let x(m) be the third derivative of m**6/24 - m**3/2 - 5*m**2. What is the first derivative of x(c) wrt c?
15*c**2
Let p be (-3)/3*1*-7. Let x = -7 + p. Find the second derivative of 15 + x*c**2 + 3*c - 15 - 3*c**2 wrt c.
-6
Let y = -3 - -5. Let u(o) = -2*o + 1. Suppose -5 = -4*q + 3*q. Let d(l) = 3*l - 3. Let x(c) = q*u(c) + y*d(c). Find the first derivative of x(m) wrt m.
-4
Let s(g) be the first derivative of 6*g**2 - g - 49. Differentiate s(a) with respect to a.
12
Let f = 8 + 8. Suppose -a + f = 3*a. What is the third derivative of 9*u**4 - 10*u**a + u**2 - 3*u**2 wrt u?
-24*u
Let t(q) be the third derivative of -q**5/5 - 5*q**4/6 - 3*q**2. What is the second derivative of t(g) wrt g?
-24
Let i(a) = a**4 + a**3 + a + 1. Let z(k) = -k**5 - 3*k**4 - 10*k**3 - 2*k**2 + 35*k - 3. Let w(r) = 3*i(r) + z(r). Find the third derivative of w(n) wrt n.
-60*n**2 - 42
Suppose -9 = -3*j - 0. Differentiate -j*l + 0*l - 3 - l with respect to l.
-4
What is the derivative of -37 + 1194*i**3 + 36*i**4 - 1194*i**3 wrt i?
144*i**3
Let x(f) = 3*f**3 + 3 - 6*f**3 - 2*f - 1 + 2*f**2. Let t(u) = -12*u**3 + 8*u**2 - 9*u + 9. Let b(i) = 2*t(i) - 9*x(i). Find the third derivative of b(n) wrt n.
18
Let y(x) = x**4 + x**3 - x**2 + 1. Let d(v) = -6*v**4 - 2*v**3 + 2*v**2 - v - 2. Let m(f) = d(f) + 2*y(f). Find the second derivative of m(h) wrt h.
-48*h**2
Let l(h) be the first derivative of -2*h**3/3 - 13*h**2/2 + 5. Let a(y) = 3*y**2 + 14*y. Let r(t) = -6*a(t) - 7*l(t). Find the second derivative of r(j) wrt j.
-8
Let q be -5 + 4 - 0/1. Let w(p) = 5*p**3 + 3*p**2 + p. Let b(z) = z**3 - z**2 + z. Let f(a) = q*w(a) + b(a). What is the third derivative of f(u) wrt u?
-24
Let r(t) be the first derivative of 8*t**4 + 49*t**3/3 - 6. Find the third derivative of r(o) wrt o.
192
Suppose 4*r - a = 21 - 4, r = -4*a + 17. Suppose 4*p + 8 = 0, 3*c + c - 18 = r*p. What is the second derivative of -3*u + 0 + c*u - 3*u**3 + 0 wrt u?
-18*u
Let j(y) be the third derivative of 3*y**6/8 + y**3/3 - 7*y**2. What is the derivative of j(w) wrt w?
135*w**2
Let i = -4 + 7. Let q = 2 + 1. What is the derivative of -8*h + 1 + q*h + i*h wrt h?
-2
Let k(s) = s + 13. Let y be k(-11). What is the first derivative of 3*a**2 - 2*a**2 - 2*a**2 - 4 + 3*a**y wrt a?
4*a
Let g(y) be the third derivative of -6*y**7/35 + y**6/60 + y**5/30 - y**4/8 - 2*y**2 - 9. What is the third derivative of g(r) wrt r?
-864*r + 12
What is the third derivative of -17*w**6 - 2*w**2 - 3*w**2 - 2*w**2 + 22*w**6 wrt w?
600*w**3
Let a(s) = 28*s**4 + 3*s**3 - 15*s**2. Let d(o) = 28*o**4 + 4*o**3 - 14*o**2. Let h(c) = 4*a(c) - 3*d(c). Find the third derivative of h(p) wrt p.
672*p
Let l(j) be the first derivative of j**6/3 + j**3/3 + 7. Find the third derivative of l(h) wrt h.
120*h**2
Let f(z) be the first derivative of -3*z**7/7 + 4*z**6/3 - 2*z**3/3 + 3*z - 9. Find the third derivative of f(x) wrt x.
-360*x**3 + 480*x**2
Let p = -8 + 13. Suppose p*c + 2*b = 0, -3*c + 2*b - 14 = 6*b. Find the third derivative of -2*i**2 + 3 - 3 - c*i**5 wrt i.
-120*i**2
Let j be -1*0/2 + -2. Let i be (2/(-3))/(j/6). Find the third derivative of 3*p**6 + 2*p**4 + 3*p**2 - i*p**4 wrt p.
360*p**3
Let u(f) be the first derivative of 0*f**5 + 0*f**4 - 4 + 0*f**2 + 1/2*f**6 + 0*f - 2/3*f**3. Find the third derivative of u(g) wrt g.
180*g**2
Let s(x) = -x**2 - x + 1. Let u(l) = -18 + 16 - 11*l**2 + 10 - 10*l. Let v(o) = 24*s(o) - 3*u(o). Find the second derivative of v(j) wrt j.
18
Let t(o) = o**2 - 13*o - 12. Let r be t(14). Let x(h) be the second derivative of -1/6*h**3 - 1/2*h**r - 2*h + 0. Differentiate x(i) with respect to i.
-1
Let v(i) = 29*i**4 - 18*i**2 + 8. Let c(f) = 19*f**4 - 12*f**2 + 5. Let b(x) = 8*c(x) - 5*v(x). What is the third derivative of b(m) wrt m?
168*m
Let j(q) = -8*q**5 - 3*q**4 + q**2 - 3. Let m(f) = 9*f**5 + 4*f**4 + 4. Let v(y) = 4*j(y) + 3*m(y). What is the third derivative of v(r) wrt r?
-300*r**2
Let j(h) = -h**2 + h. Let l(w) = 11*w**4 - 21*w**2 - 6*w. Let p(t) = -6*j(t) - l(t). Find the third derivative of p(m) wrt m.
-264*m
Let b(m) be the second derivative of m**8/336 + m**5/30 - 7*m**2/2 + 6*m. Let j(l) be the first derivative of b(l). Find the third derivative of j(a) wrt a.
60*a**2
Suppose 0 = -5*x + 3*t + 43, x - 2*t - 18 = -x. What is the third derivative of x*h**2 + 7*h**4 - 6*h**5 - 14*h**4 + 7*h**4 wrt h?
-360*h**2
Let o(x) = -x - 1. Let b be o(3). Let r(u) = 4*u**3 + 8. Let y(v) = 4*v**3 + 9. Let d(t) = b*r(t) + 3*y(t). What is the derivative of d(q) wrt q?
-12*q**2
Suppose -o + 24 = 2*o - 3*q, 2*o - 11 = -3*q. Find the second derivative of -2*t**5 + 5*t**5 - o*t + 14*t + 2*t**5 wrt t.
100*t**3
Let k(x) be the first derivative of 5 - 5*x - 9/2*x**2. Differentiate k(f) wrt f.
-9
Suppose 0 = 5*m - 15, 4*u + 4*m + 0*m = 20. Differentiate u - 4 + 4 - 3*n + 2*n wrt n.
-1
Let y(r) be the third derivative of -1/35*r**7 - 1/12*r**4 + 3*r**2 + 0*r**6 + 0*r + 0 + 0*r**5 + 0*r**3. Find the second derivative of y(p) wrt p.
-72*p**2
Let x(y) be the second derivative of y**8/2240 + y**7/2520 + y**4/6 - 2*y. Let g(k) be the third derivative of x(k). Find the third derivative of g(t) wrt t.
18
What is the third derivative of 8*g**6 - 5*g**2 - g**6 + 21*g**2 + 14*g**6 wrt g?
2520*g**3
Let a = 2 - -7. Suppose 22 = a*p - 4*p + o, -10 = -5*o. Find the third derivative of -q + q + 2*q**2 - q**p wrt q.
-24*q
What is the second derivative of 24*k - 4*k**2 + 3*k**2 - k**2 - 2*k**2 wrt k?
-8
Let r(u) be the third derivative of u**8/840 - u**6/120 + u**3/6 + u**2. Let l(t) be the first derivative of r
|
{
"pile_set_name": "DM Mathematics"
}
|
3
Solve 0 = -11*h - 105*h for h.
0
Solve 3 = 32*c - 35*c for c.
-1
Solve 0 = 4*q - 17 + 29 for q.
-3
Solve 8*b - 78 = -6 for b.
9
Solve 0 = 2*c - 4 + 8 for c.
-2
Solve 14 = -109*g + 102*g for g.
-2
Solve -421*f - 14 = -428*f for f.
2
Solve -1296*s + 1298*s = 4 for s.
2
Solve -12*w + 9*w = -15 for w.
5
Solve -32*w - 208 = -240 for w.
1
Solve 76*v = 83*v + 7 for v.
-1
Solve 0 = 2*h + 25 - 29 for h.
2
Solve 333 - 88 = -35*f for f.
-7
Solve 0 = 67*p - 11*p - 56 for p.
1
Solve -37 = -4*u - 57 for u.
-5
Solve 0 = 76*y - 70*y - 18 for y.
3
Solve 576 - 591 = 5*l for l.
-3
Solve 0 = -6*v + 17 + 7 for v.
4
Solve 49*p = 37*p - 96 for p.
-8
Solve 14 = -275*z + 261*z for z.
-1
Solve 3*t + 117 - 102 = 0 for t.
-5
Solve 0 = 8*q - 41*q + 33 for q.
1
Solve -175*d - 7*d - 1638 = 0 for d.
-9
Solve 0 = 3*j - 5*j - 4 for j.
-2
Solve 19*g + 8 = 46 for g.
2
Solve -19*k + 105 - 181 = 0 for k.
-4
Solve 209*s - 223*s + 42 = 0 for s.
3
Solve 0 = -2959*c + 2967*c + 16 for c.
-2
Solve 14*q - 548 = -436 for q.
8
Solve 111 = 135*f - 24 for f.
1
Solve 7*c - 5 = 2 for c.
1
Solve 188*q + 25 = 183*q for q.
-5
Solve 59*h + 42 = 66*h for h.
6
Solve -38*d = -22*d - 21*d for d.
0
Solve -6*p = -7 - 23 for p.
5
Solve -640*r + 631*r = 9 for r.
-1
Solve 3*a - 7 - 2 = 0 for a.
3
Solve 3 + 2 = n for n.
5
Solve -4*o = 2*o - 24 for o.
4
Solve 0 = 14*c - 3*c for c.
0
Solve -12*x + 46 + 62 = 0 for x.
9
Solve 39*y - 277 + 316 = 0 for y.
-1
Solve 26 = 145*y - 158*y for y.
-2
Solve -2*u - 1820 = -1824 for u.
2
Solve 2*p - 78 = -86 for p.
-4
Solve 53 + 17 = -14*h for h.
-5
Solve -19 = -7*v - 47 for v.
-4
Solve 8*p + 4*p - 36 = 0 for p.
3
Solve -16 = 9*u + 20 for u.
-4
Solve -2*n - 73 = -65 for n.
-4
Solve 0 = 25*m + 2*m - 54 for m.
2
Solve 0 = 38*h - 10*h + 84 for h.
-3
Solve -28*f + 3 = -27*f for f.
3
Solve -10*r - 30*r = 80 for r.
-2
Solve -23*l = -30*l - 35 for l.
-5
Solve 2222 = 24*i + 2030 for i.
8
Solve 31*a + 45 + 79 = 0 for a.
-4
Solve 8*r + 17 = 33 for r.
2
Solve -2*v + 5*v = -6 for v.
-2
Solve -2*f = -4*f - 6 for f.
-3
Solve -254*v = -253*v + 5 for v.
-5
Solve -13*o + 8*o - 25 = 0 for o.
-5
Solve -159*x = -162*x + 6 for x.
2
Solve 382*i = 365*i - 85 for i.
-5
Solve 0 = 120*z - 149*z + 29 for z.
1
Solve 51*j + 378 = -3*j for j.
-7
Solve 0 = 8*t + 3*t - 44 for t.
4
Solve 21*a - 9 - 75 = 0 for a.
4
Solve 18*g + 12 + 24 = 0 for g.
-2
Solve -186 = -22*a - 32 for a.
7
Solve 22*h - 25 = 17*h for h.
5
Solve -4*s + 1 = -3 for s.
1
Solve 878*t - 901*t = 138 for t.
-6
Solve 35*h + 172 = -108 for h.
-8
Solve 5 = 8*l - 3 for l.
1
Solve -236 + 240 = -2*q for q.
-2
Solve 18 - 16 = -2*m for m.
-1
Solve 0 = -15*h + 9 - 39 for h.
-2
Solve -42*p = -88 - 80 for p.
4
Solve 108 = 27*b - 54 for b.
6
Solve -24 = -5*a - 4 for a.
4
Solve -3*t = -11*t - 32 for t.
-4
Solve 9*a = 3 - 12 for a.
-1
Solve 20*l + 102 = 3*l for l.
-6
Solve -7 = 11*u + 4 for u.
-1
Solve 0 = -6*r + 5*r for r.
0
Solve 84 = -6*o + 27*o for o.
4
Solve -10*r - 119*r = 0 for r.
0
Solve -138 - 2 = 28*d for d.
-5
Solve -l - 4 = l for l.
-2
Solve -20*a + 28 - 128 = 0 for a.
-5
Solve -2*w + 0*w = 3*w for w.
0
Solve 28*v - 25*v + 9 = 0 for v.
-3
Solve -5*d = -31 + 6 for d.
5
Solve 5*i + 0*i = -10*i for i.
0
Solve -55*c = -61*c for c.
0
Solve -120 = -32*l - 8*l for l.
3
Solve 6*p = 8 - 2 for p.
1
Solve 928*z - 901*z = -54 for z.
-2
Solve 202 = -3*t + 199 for t.
-1
Solve -26*f + 0 = 52 for f.
-2
Solve -326*g + 273*g = 159 for g.
-3
Solve -10*o + 420 - 320 = 0 for o.
10
Solve -173*l + 175*l + 4 = 0 for l.
-2
Solve -15*s + 123 = -27 for s.
10
Solve -38*b = -61*b for b.
0
Solve -892*w + 49 = -885*w for w.
7
Solve f - 149 = -144 for f.
5
Solve 9*o + 2 - 11 = 0 for o.
1
Solve -27*i - 4 = -25*i for i.
-2
Solve 0 = 69*x - 66*x - 3 for x.
1
Solve -5*o + 0*o + 20 = 0 for o.
4
Solve -9*g = 8*g for g.
0
Solve 0 = 25*h - 213 - 37 for h.
10
Solve -190 = 58*y + 158 for y.
-6
Solve -12*b + 15*b = 18 for b.
6
Solve 25*n - 4 = 21*n for n.
1
Solve -50*l = -54*l + 8 for l.
2
Solve -9 = 7*f - 23 for f.
2
Solve 0 = -8*t + 1070 - 1142 for t.
-9
Solve 0 = 11*f - 45 + 1 for f.
4
Solve 1881 - 1885 = -k for k.
4
Solve 29*z + 56 = -31 for z.
-3
Solve -9*a + 47 = 65 for a.
-2
Solve 29*j + 2 = 27*j for j.
-1
Solve 0 = 9*v + 31*v for v.
0
Solve -37 = 95*c - 892 for c.
9
Solve -16*v = 7*v - 92 for v.
4
Solve -22*x - 10*x + 192 = 0 for x.
6
Solve 4913 = 4*b + 4893 for b.
5
Solve -5*r = -86 + 111 for r.
-5
Solve 12 = -16*q + 19*q for q.
4
Solve 6*u = 16*u - 11*u for u.
0
Solve 3 = 148*f - 145*f for f.
1
Solve 7*t + 7 = 14*t for t.
1
Solve 20 = -8*b + 4*b for b.
-5
Solve -29*q + 46 = -70 for q.
4
Solve 4 = 2*l + 6 for l.
-1
Solve -47*n = -16 - 266 for n.
6
Solve 0 = -925*c + 926*c + 6 for c.
-6
Solve 0 = 17*a - 3*a + 70 for a.
-5
Solve -t - 6*t = 7 for t.
-1
Solve -2*t - 8 = 6*t for t.
-1
Solve -5*f - 17 - 8 = 0 for f.
-5
Solve 3*k = 3*k - 3*k for k.
0
Solve -76 = l + 18*l for l.
-4
Solve 0 = 9*c - 6*c - 9 for c.
3
Solve 17*b = 3*b + 56 for b.
4
Solve 48*p + 7 = 55*p for p.
1
Solve 24*a - 22*a - 10 = 0 for a.
5
Solve 24*d + 65 = 11*d for d.
-5
Solve 17*o - 41*o = -120 for o.
5
Solve -21*m + 36*m - 90 = 0 for m.
6
Solve 0 = -25*b + 192 - 142 for b.
2
Solve 637*x = 643*x - 30 for x.
5
Solve 0*t = -6*t - 18 for t.
-3
Solve 0 = 8*n - 3*n - 15 for n.
3
Solve 3*i - 15 = -12 for i.
1
Solve -20 = -8*k - 84 for k.
-8
Solve 286*v = 301*v + 60 for v.
-4
Solve 11*r + 28*r = 8*r for r.
0
Solve -27*q - 90 = -9*q for q.
-5
Solve 0 = 2*z - z - 2 for z.
2
Solve 0 = 22*d - 65*d for d.
0
Solve 5 = 5*c + 15 for c.
-2
Solve -13 = 33*z - 20*z for z.
-1
Solve 38*j = -30 + 68 for j.
1
Solve 0 = 4*g + 10 + 2 for g.
-3
Solve 12 = -25*b + 29*b for b.
3
Solve 33 = -48*w - 159 for w.
-4
Solve -12*u = 3*u - 90 for u.
6
Solve 0 = 33*m - 460 + 130 for m.
10
Solve -15*g - 14 = -g for g.
-1
Solve 25 = 3*q + 2*q for q.
5
Solve -9 + 1 = 4*j for j.
-2
Solve 0 = -2*o + 8*o + 36 for o.
-6
Solve -10 = -3*v - 10 for v.
0
Solve 5*c = 35 - 30 for c.
1
Solve 22*y = 2*y + 100 for y.
5
Solve 0 = 36*u + 5*u - 41 for u.
1
Solve -34 = -3*a - 19 for a.
5
Solve -3*w + 2 + 10 = 0 for w.
4
Solve 7*p = -0*p for p.
0
Solve 14*t - 22 = 3*t for t.
2
Solve c + 10*c = -55 for c.
-5
Solve -24*l + 25*l - 5 = 0 for l.
5
Solve 0 = 2*i + 18 - 12 for i.
-3
Solve 12*o - 2*o + 40 = 0 for o.
-4
Solve -9*t + 10 + 17 = 0 for t.
3
Solve 32*u - 344 = 75*u for u.
-8
Solve 0 = 2*l + 5*l - 21 for l.
3
Solve -11*z + 4*z - 21 = 0 for z.
-3
Solve -18*r = -9*r - 9 for r.
1
Solve -15*d + 21 = -9 for d.
2
Solve -7 = -2*i - 3 for i.
2
Solve -8*p - 21*p + 290 = 0 for p.
10
Solve -4*l + 6 = -2 for l.
2
Solve 4*i - 2 = 2*i for i.
1
Solve -3 = -4*n + 7*n for n.
-1
Solve 8*r = 7*r for r.
0
Solve -9 + 13 = -w for w.
-4
Solve 36*g - 33*g - 15 = 0 for g.
5
Solve -6*b + 4 = -7*b for b.
-4
Solve -7*v - 3*v = -10 for v.
1
Solve -8*r - 10*r = 108 for r.
-6
Solve 0 = 5*d - 7*d for d.
0
Solve -8*a + 8 = 24 for a.
-2
Solve -13 = 52*j - 325 for j.
6
Solve -14911*j + 16 = -14903*j for j.
2
Solve 0 = 51*t - 46*t + 25 for t.
-5
Solve -62*h + 72*h = -10 for h.
-1
Solve 4*c = -32 + 16 for c.
-4
Solve -131*h = -98*h - 198 for h.
6
Solve 3*j = -14 - 1 for j.
-5
Solve 4*u + 4 = 3*u for u.
-4
Solve -18*y = -36*y + 18 for y.
1
Solve l + 3 = 6 for l.
3
Solve 0*y = -8*y - 16 for y.
-2
Solve 9*q - 7 = 8*q for q.
7
Solve 7*o - 475 = -475 for o.
0
Solve 41*k - 49*k - 40 = 0 for k.
-5
Solve -296 + 350 = 9*c for c.
6
Solve 3973*r - 3974*r = 10 for r.
-10
Solve 215 = 14*n + 313 for n.
-7
Solve -4*v + 17 - 29 = 0 for v.
-3
Solve -4*u + 5*u = 2*u for u.
0
Solve 0 = 11*c + 5*c - 16 for c.
1
Solve 297 = -119*w - 774 for w.
-9
Solve -64 + 73 = -3*s for s.
-3
Solve 46 - 100 = -9*w for w.
6
Solve 13 = 8*n - 19 for n.
4
Solve 51*q - 48*q = -24 for q.
-8
Solve -41 + 6 = -7*z for z.
5
Solve -3*b + 56 = -17*b for b.
-4
Solve 53*i - 56*i = 3 for i.
-1
Solve -142 = -4*z - 158 for z.
-4
Solve -30*w + 5 - 65 = 0 for w.
-2
Solve -13*z = 6*z + 209 for z.
-11
Solve 203*u = 217*u + 28 for u.
-2
Solve 9*d = -9*d for d.
0
Solve -6 = -o - 7 for o.
-1
Solve -144*z - 80 = -154*z for z.
8
Solve 3 + 37 = -8*y for y.
-5
Solve -694*w + 25 = -689*w for w.
5
Solve 40*o + 113 = -7 for o.
-3
Solve -4*o = -258 + 290 for o.
-8
Solve 0 = 16*r + 77 + 51 for r.
-8
Solve q = -6*q for q.
0
Solve -2*t + 5 = 9 for t.
-2
Solve 13*u
|
{
"pile_set_name": "DM Mathematics"
}
|
-31 + p for u.
5
Let u = 11 - 9. Suppose -3*l + 7*z = u*z + 16, -4*z = 5*l - 35. Let b be 3/l + 4 - 1. Solve -8 + b = 2*p for p.
-2
Suppose -3*h = m - 575, 14*h - 18*h - 2*m = -768. Solve 187 = -2*p + h for p.
2
Let q = -61 + 64. Suppose -q*d + 1 = 4*g, 0*d - 4*d = 20. Solve -g*s = s for s.
0
Let y = -71 - -26. Let l = y + 50. Solve -l = f - 4 for f.
-1
Let n be 12/(68/8 - 7). Solve -9 = -11*t + n*t for t.
3
Let x(m) = m**2 - 7*m - 5. Let f be x(10). Solve -3*v + 8*v = f for v.
5
Suppose -19 = 4*v - 3*i, -v - 5*i - 26 = -10*i. Suppose 2*q + 1 - 5 = 0. Let o = q - v. Solve -t + o*t = -2 for t.
-1
Let k(c) = c**3 - 16*c**2 + 8. Let n be k(16). Suppose -5*v = -5*r - 2 - n, 0 = -r - 4*v + 23. Solve -2*g = r*g - 5 for g.
1
Suppose -2*q + 29 = 3*u, 5*q - 52 = -4*u + 17. Let b = -11 + q. Let y be 3 + b*(-27)/(-6). Solve -2*p = p + y for p.
-4
Let a(n) = n**3 + 2*n**2 - 2*n - 5. Let y(b) = -b**3 - 3*b**2 + b + 6. Let c(s) = -3*a(s) - 2*y(s). Let m be c(-2). Solve 8 = m*f + 2 for f.
2
Let d = 26 - 26. Let j be 0 + d/(4 + 0). Solve j*v = -4*v + 8 for v.
2
Suppose -2*r + 5*n + 9 = 0, -4*r = -3*n - 33 + 8. Solve -r*h = -8*h for h.
0
Let l = 92 - 85. Solve 6*o + 17 = -l for o.
-4
Suppose 0 = -348*a - 341*a + 698*a - 27. Suppose 0 = 2*n + 2 + 2, 3*u = -2*n - 4. Solve y - a*y = u for y.
0
Suppose -2*u = 6, 0 = 2*s + 2*u - 1 + 7. Solve 4*o + 0*o + 16 = s for o.
-4
Suppose 3*z - 9 + 0 = 0. Let f = z + 6. Let r be (6/9)/(2/f). Solve a = -0 + r for a.
3
Let h(o) = o**2 - 8*o + 9. Let p be h(7). Suppose c + c = -10. Let s = c + 5. Solve 0 = -w - s*w - p for w.
-2
Let i(s) = -2 + 1 - 4 - s. Let g(k) = k**3 - 6*k**2 + 2*k + 6. Let d be g(5). Let y be i(d). Solve 8 = -4*j - y for j.
-3
Let u = -77 - -85. Let x be 16/(-128) - (-1)/u. Solve -3*a - 9 + 0 = x for a.
-3
Suppose 3*f + 282 = -0*f. Let t = -90 - f. Solve -2*r + t = -0*r for r.
2
Let o(j) = 10 - 18 + 15 + j + 4. Let n be o(-8). Solve n*b + 0 = 9 for b.
3
Let f(u) = -u**2 + 8*u - 3. Let g be f(7). Let i be (4/(-2))/((-2)/4). Suppose q + i = 2*q + 4*o, q = 5*o + g. Solve q*m + 8 = -8 for m.
-4
Let m(u) = 18 + 6*u + 27 + 60 - 23. Let p be m(-13). Solve -p*t = t for t.
0
Let w be 12*(4 - (-171)/(-54)). Solve w*h + 22 = 2 for h.
-2
Let y(l) = -l**2 + 7*l + 46. Let m be y(11). Let i = 1 - -7. Let k = i - 6. Solve -k*v - m = -3*v for v.
2
Suppose -33*o - 61*o + 110*o = 80. Let r = -1 + 1. Solve o*d - 4*d - 5 = r for d.
5
Let k(b) = -3*b**2 - 9*b + 37. Let n be k(-5). Solve 0 = -6*g + n*g for g.
0
Suppose -6*f = -75 + 27. Solve -28*w + f = -26*w for w.
4
Let u = -57 + 49. Let p be u*3/(-42) + 52/7. Solve -2*n - p = 2*n for n.
-2
Let d(j) = j**3 - j**2 - j + 3. Let u be d(0). Let w = 4 - u. Let n = 509 + -505. Solve n*f - 13 = -w for f.
3
Let h = 161 + -151. Solve -35*n + 37*n = h for n.
5
Let t be (-11 - 38) + 0 + 2. Let l = t - -50. Solve -f - 10 = -l*f for f.
5
Let o = 197 - 191. Solve -2*i + 8 = -o*i for i.
-2
Suppose 0 = -2*x + 5*z - 11, 0 = x - 2*z + 4. Solve 35*d + x = 37*d for d.
1
Let o be 2 - 38/(-9) - 18/81. Solve 11 = -o*x - 7 for x.
-3
Let p = 59 + -113. Let j = 78 + p. Let l be (-16)/6*j/(-16). Solve l = 3*z + 7 for z.
-1
Let o = 560 + -557. Solve -o*z + 8*z = 5 for z.
1
Let a be (3 + -1)/((-1)/4). Let p be -8*4/8 - a. Solve p*g + 12 = g for g.
-4
Let q(c) = -c**2 + 2 + 0*c + 8*c - 9 - 4. Suppose -3*n + 5*f - 7 = 3, -f = -n. Let p be q(n). Solve -p*b + b = 9 for b.
-3
Let k = -2 - -6. Suppose k*o + 160 = -o. Let d be 10/(-8)*o/1. Solve 15 - d = -5*g for g.
5
Let j(t) = -t**3 - 9*t**2 - 17*t + 14. Let u be j(-7). Solve -u*c = -40*c - 5 for c.
-1
Suppose 4*o = -0*o - 3*r + 77, o = -r + 20. Solve 0 = 14*m - o*m + 6 for m.
2
Let v be (80/64)/((-2)/(-40)). Let m = v - 20. Suppose -3 + m = r. Solve 10 = -4*w + r for w.
-2
Suppose 4*j - 6*j = 3*y, -4*j = -5*y + 22. Suppose y*r + 20 = 3*r. Solve 9*u - 4*u = -r for u.
-4
Let n be 0 + (-7 + -1)/(-2). Suppose 0 = n*l - 20 - 28. Suppose 2*w - 7*w = 2*i - 23, 17 = 5*i - w. Solve i*a - 8 = l for a.
5
Suppose 3*u - 65 = -5*i, 3*u + 2*i = 8*u - 160. Let q = -15 - -19. Let w be 48/u - q/(-10). Solve w*l = -l + 15 for l.
5
Suppose 2*n = 5*x - n - 28, 3*n - 28 = -2*x. Let m(t) = -t**3 - 12*t**2 - 20*t + 8. Let v be m(-10). Solve -4*f = v + x for f.
-4
Let v be (-7)/(21/(-93)) - -9. Solve 5*o = 15*o + v for o.
-4
Let x be 52/7 - -2*14/49. Solve x*j - 3 = 5*j for j.
1
Let n(t) = t**2 + 8. Suppose -7*u = -2*u + u. Let r be n(u). Solve -4*z + 8 = -r*z for z.
-2
Let b be 6/(-27) - (-9)/(486/120). Solve 5*c - 12 = b*c for c.
4
Let h = -86 + 122. Solve 11*a = 2*a + h for a.
4
Let f = -5 - 2. Let s = f - -9. Let c be (5/15)/(s/48). Solve -i = i + c for i.
-4
Let o be ((-486)/189)/(1/(-7)). Solve 56 = o*k + 10*k for k.
2
Suppose 9 + 6 = 5*s. Suppose -s*l = 2*l - 25. Let b(y) = 82*y - 567. Let u be b(7). Solve -u = l*d - 32 for d.
5
Let x be 1/(-5) + 205/25 + 0. Solve h - 3*h = x for h.
-4
Let j be (-1294)/(-17) + (-13)/1326*12. Solve -69 + j = -7*s for s.
-1
Suppose -7*n + 9 = -5. Suppose -5*g = n - 32. Solve -2*b + g = -5*b for b.
-2
Suppose 0 = 127*l - 124*l - 27. Solve l = -7*t - 5 for t.
-2
Suppose 5*a + 6 = -4*k, -k - 2*a + 6 - 9 = 0. Suppose -2*c + 13 - 9 = m, 3*m = 2*c + 12. Solve -t + m = k for t.
3
Suppose 2*u - 3*y + 8 = 0, -2*u - 18 = -5*u - 3*y. Solve -u*o + 6 = -0 for o.
3
Suppose -i - 28 = -3*r + 28, -3*i + 84 = 5*r. Suppose -r*u + 32 = -2*u. Solve 10 = u*b + 2 for b.
4
Suppose -4*z - 3*h - 56 = -78, -10 = -5*h. Solve -13*x + 17*x = -z for x.
-1
Let a = 2 - 2. Suppose 13*c = 76 - 24. Solve 5*b - 16 - c = a for b.
4
Let a be (-4 - (-112)/24)*(0 - -21). Let v(q) = -q**2 - 4*q + 6. Let z be v(-5). Solve -z = -5*i + a for i.
3
Let h = 2504 + -2492. Solve 57 = -9*q + h for q.
-5
Let i(y) = -11*y + 99. Let k be i(5). Solve -16 = k*p - 40*p for p.
-4
Suppose 4*t + 5*d - 40 = -0*d, 0 = -d. Solve 0 = -t*g + 8 - 28 for g.
-2
Let g(j) = j**2 - 7*j + 60. Let b be g(12). Solve -4*v - 112 = -b for v.
2
Let j(d) = d**3 + 8*d**2 + 2*d - 9. Let u be j(-6). Let v = u + -49. Solve -h - v = -5 for h.
3
Let t be (153 - 7/((-14)/8)) + -4. Let v be 34/t + (-2)/9. Solve -5*r + v*r - 10 = 0 for r.
-2
Let b(y) be the third derivative of y**4/12 + 4*y**3 + 2*y**2. Let p be 2*30/(-5) + 2. Let w be b(p). Solve -8 - w = 4*m for m.
-3
Suppose 0 = 5*i + p - 129, -5*i + 6*p - p + 105 = 0. Solve 11*m - 16*m = -i for m.
5
Let a(i) = -8*i - 21. Let r be a(-3). Solve -r*d + d = -6 for d.
3
Suppose 95 = k + 95. Solve -h + 2*h + 5 = k for h.
-5
Suppose 33*s = 20*s + 143. Solve 2*r = 9 - s for r.
-1
Let l = 11 + -3. Let a = l + -9. Let h(f) = -f + 1. Let k be h(a). Solve k*s + 0*s = -4 for s.
-2
Suppose 0*d - d + 100 = 0. Suppose z - d = j - 4*j, 2*z = -2*j + 68. Let t = -18 + j. Solve 2*k = 7*k - t for k.
3
Let b be 1024/32 + (1 - 1). Solve 33*f - b*f = 3 for f.
3
Let c(o) = -o**3 + 11*o**2 + o - 5. Let v be c(11). Let l(z) = -3*z + 20. Let p be l(v). Suppose -s = p*h, -s + 6*s - 13 = 3*h. Solve -2*t = s*t for t.
0
Suppose -3*s + 3 = -j, 0 = 2*j + 2*s + 2*s - 44. Solve -14*p = -17*p - j for p.
-4
Suppose 14 = 6*v - 4. Suppose -1 = r - v. Solve -4 = -2*s - r*s for s.
1
Let w be (-21 + 16)*6/(-10). Solve -7*m + w*m - 4 = 0 for m.
-1
Let p be (15/(-6))/(2/((-16)/5)). Solve -r = r - p*r for r.
0
Suppose 6*j + 12 + 0 = 0. Let i be (j - -2 - -4) + -2. Solve 8 = -2*u - i*u for u.
-2
Suppose 0 = -4*y + 2*y. Suppose 5*x - 103 = -3*q, -4*q - 95 = -5*x + 1. Suppose y = g + g - x. Solve b - g = -b for b.
5
Let b be 1/8*-2*(0 - -4). Let k(h) = 5*h + 8. Let n be k(b). Solve 0 = -n*i + 4 - 1 for i.
1
Let d = -133 + 133. Solve -b + d*b = 4*b for b.
0
Let d = 25 + -48. Let r = 23 + d. Solve r*a = -a for a.
0
Suppose -11*y + 785 = 158. Solve -61*v + y*v - 20 = 0 for v.
-5
Let x be ((-1)/3*-4 - 1)*18. Solve -x*t = -5 + 35 for t.
-5
Let z be 1*24 + 3 + -5 + 2. Let t = -16 + z. Solve 3*x - t = -x for x.
2
Let p be 3 + -6 + 1 + 25. Let t = 39 - p. Let w = -6 + t. Solve 0 = -4*s - s + w for s.
2
Suppose -3*o - 10 = -l, 4*l + o - 10 = -2*o. Suppose -2*h + 7 = z - h, -20 = -l*h. Solve -8 = -2*i - z*i for i.
2
Let o = -50 - -50. Let w(a) = -a**2 - 4*a. Let n be w(-4). Let u be 4 - ((4 - 4) + n). Solve -u*y = -o*y - 16 for y.
4
Suppose 10*p - 15*p = -15. Suppose -2*t = -0*t - p*u - 9, -t + u + 3 = 0. Solve m + 4 + 1 = t for m
|
{
"pile_set_name": "DM Mathematics"
}
|
What is 20021211 (base 4) in base 7?
166215
Convert -6a0283a (base 11) to base 14.
-18a9d13
What is -20410004 (base 6) in base 7?
-5014516
What is 11322323033 (base 4) in base 3?
2220212001102
What is 5d7b23 (base 16) in base 13?
1366694
-40d854 (base 16) to base 8
-20154124
Convert 3951915 (base 10) to base 11.
225a150
Convert 164994 (base 10) to base 6.
3311510
What is -ba6aa (base 12) in base 13?
-881a7
Convert 6d0724 (base 15) to base 2.
10011111001011011110000
-21221311203 (base 4) to base 11
-147935a
What is 89856 (base 10) in base 16?
15f00
1100111101020 (base 3) to base 5
140441331
Convert -10001110001010101110000 (base 2) to base 4.
-101301111300
What is -6434363 (base 7) in base 6?
-24431505
Convert 30320210 (base 4) to base 13.
1b035
What is 1001110100010011000111 (base 2) in base 14?
4adc23
What is 14598256 (base 10) in base 5?
12214121011
Convert 121111101010102 (base 3) to base 16.
85c36d
What is -23223201 (base 4) in base 5?
-3012331
-637641 (base 8) to base 11
-135a53
Convert 3368 (base 15) to base 6.
122242
What is e55156 (base 15) in base 3?
202111212010100
What is 1c5cf (base 16) in base 8?
342717
Convert -148cdd7 (base 15) to base 14.
-1d937b2
-244911 (base 13) to base 9
-1561453
What is 101334103 (base 5) in base 9?
706375
What is -1560880 (base 10) in base 3?
-2221022010101
1122201022220 (base 3) to base 6
30510423
Convert -9990184 (base 10) to base 7.
-150625621
-11112201002120 (base 3) to base 7
-26346351
42829 (base 14) to base 8
471765
11001000110101101101010 (base 2) to base 11
3795527
Convert 745b0 (base 13) to base 15.
42203
What is ca827 (base 14) in base 2?
1110111101000110011
What is -22552 (base 11) in base 6?
-410542
Convert -2143664 (base 7) to base 14.
-6bc34
What is 203324112 (base 5) in base 15?
118a22
62222 (base 11) to base 15
1bd69
What is -1651272 (base 8) in base 5?
-110324210
Convert 732138 (base 15) to base 5.
2400141103
What is -1229b88 (base 15) in base 5?
-11314343403
What is -11000000101110100010 (base 2) in base 7?
-6465326
Convert -333036 (base 8) to base 5.
-12042113
-320033313 (base 4) to base 13
-80b35
-3001300 (base 4) to base 5
-344100
What is -120304 (base 11) in base 4?
-232203230
Convert -3701114 (base 8) to base 12.
-410238
Convert 11345605 (base 7) to base 12.
4046a7
-1734371 (base 8) to base 15
-9ee55
What is -13a35 (base 11) in base 3?
-1000021101
Convert -3111706 (base 10) to base 4.
-23313230122
What is a704 (base 14) in base 13?
10168
Convert 100100010010010000 (base 2) to base 3.
21112212121
Convert -100313033202 (base 4) to base 13.
-bba136
What is 201400 (base 9) in base 8?
350557
Convert 5655532 (base 7) to base 2.
10101011101001100011
-2011040010 (base 5) to base 13
-aa1a60
Convert 11122043 (base 5) to base 3.
11222222101
2798119 (base 10) to base 9
5234261
-7f2767 (base 16) to base 2
-11111110010011101100111
What is 176867 (base 10) in base 5?
21124432
Convert -235023 (base 6) to base 5.
-1124120
Convert 156b87 (base 13) to base 16.
81362
Convert -1250355 (base 9) to base 5.
-133321022
What is 949518 (base 10) in base 14?
1aa06a
Convert -1780685 (base 9) to base 11.
-621763
What is 1135240351 (base 6) in base 5?
11242220100
-635 (base 7) to base 12
-228
98145 (base 12) to base 9
335208
What is 122121002102 (base 3) in base 9?
577072
12100210221 (base 3) to base 6
2132424
Convert -446438 (base 11) to base 3.
-1100010200200
What is 56627 (base 13) in base 15?
317de
20317144 (base 9) to base 16
94d8f6
350047 (base 9) to base 16
3344b
-21161 (base 7) to base 16
-1475
What is 3023123 (base 4) in base 13?
5c06
Convert -43072 (base 15) to base 9.
-353728
What is -4871c4 (base 13) in base 2?
-110100110001101011000
144143400 (base 5) to base 13
210356
What is 12310b8 (base 12) in base 2?
1101100010001001001100
71026 (base 12) to base 3
21110112010
-2416054 (base 7) to base 13
-a9993
-1011211131 (base 4) to base 12
-118b39
What is -137460 (base 10) in base 4?
-201203310
-750134 (base 8) to base 10
-249948
What is 30150057 (base 9) in base 5?
12144101223
Convert -6353214 (base 8) to base 10.
-1693324
What is -997235 (base 12) in base 11?
-1416122
-653132 (base 15) to base 16
-498b3c
-61772 (base 10) to base 4
-33011030
What is -12010100211 (base 3) in base 4?
-120220003
What is -15904a2 (base 14) in base 4?
-220103123032
223135 (base 16) to base 13
605c3b
What is 695418 (base 10) in base 6?
22523310
Convert 42967 (base 11) to base 7.
346614
What is 15442342 (base 6) in base 8?
2062266
Convert 1976247 (base 10) to base 15.
29084c
Convert 11011001111011001110111 (base 2) to base 4.
123033121313
What is 213205 (base 6) in base 9?
26085
What is -12d118 (base 14) in base 9?
-1201338
-1b06c4 (base 13) to base 8
-2475056
Convert 1273a1a (base 13) to base 7.
100052251
Convert -116676 (base 9) to base 5.
-4224124
ac437 (base 14) to base 12
181a29
-23a1614 (base 11) to base 2
-1111111011001110100101
-7d465 (base 16) to base 10
-513125
Convert -a25785 (base 14) to base 16.
-537849
1111011110111001011010 (base 2) to base 12
1438962
What is 343336 (base 8) in base 3?
12220201211
What is -6316611 (base 8) in base 3?
-10011021210011
What is -100210202120011 (base 3) in base 6?
-303410221
Convert 10b9894 (base 12) to base 13.
891796
-10001101010110001101100 (base 2) to base 3
-22201022102222
-10100100110100010011001 (base 2) to base 3
-101011101102000
What is -6a4027 (base 11) in base 14?
-211661
Convert -1183c97 (base 15) to base 4.
-233330112133
-40416674 (base 8) to base 6
-502434112
Convert 4a713 (base 11) to base 16.
11c1f
Convert 46144 (base 13) to base 8.
371243
Convert -57198 (base 11) to base 10.
-82750
25622525 (base 7) to base 4
20323300211
Convert -8a368 (base 16) to base 4.
-2022031220
What is -890ac (base 16) in base 6?
-20010420
What is -4019a5 (base 11) in base 2?
-10011101111001010011
980e9 (base 15) to base 12
1b3510
What is -120dc (base 15) in base 3?
-2220222200
Convert b12a36 (base 12) to base 8.
12424112
Convert 12e07 (base 15) to base 13.
21724
Convert 644666 (base 9) to base 13.
105a26
111022202021 (base 3) to base 5
31343013
What is 1001011012202 (base 3) in base 7?
4465505
Convert 2003003010 (base 4) to base 9.
1007273
What is 201000012011 (base 3) in base 2?
1011011010101100100
Convert -1250602 (base 7) to base 5.
-20213224
Convert 1000100010001111011110 (base 2) to base 10.
2237406
Convert 103503 (base 6) to base 2.
10000110011111
-2e496 (base 15) to base 14
-3c6d7
111530021 (base 6) to base 15
2a7194
Convert 7057501 (base 8) to base 15.
26ade8
What is 1010010111001111101111 (base 2) in base 12?
ab017b
1be6e (base 15) to base 11
62411
-1004004 (base 9) to base 4
-2002131121
What is -64063 (base 11) in base 9?
-151808
846c3 (base 13) to base 11
153172
8aac (base 14) to base 15
71e4
-10bb1a (base 13) to base 5
-100203332
3182468 (base 10) to base 14
5cbb12
260155 (base 8) to base 7
524015
35163023 (base 7) to base 11
1821461
Convert 26828aa (base 11) to base 3.
22201020120211
-202555410 (base 6) to base 16
-35647e
Convert 59652 (base 10) to base 3.
10000211100
What is -43312120 (base 5) in base 14?
-98a04
6656127 (base 8) to base 3
10101002200112
What is -86810 (base 11) in base 5?
-13013333
What is 1111100000011000 (base 2) in base 9?
106108
-2330120 (base 5) to base 8
-123047
What is 1001220021120 (base 3) in base 5?
121200244
What is -10e3ce (base 15) in base 11?
-501756
Convert 13948 (base 13) to base 11.
25664
Convert -203111440 (base 5) to base 7.
-10034002
What is -574775 (base 12) in base 2?
-101010101001001001001
-1062175 (base 8) to base 4
-1012101331
Convert 342018 (base 9) to base 14.
54934
What is 15460025 (base 7) in base 3?
2210212121122
-412312 (base 7) to base 5
-4223341
What is de1b59 (base 16) in base 3?
1000101112001212
8426f (base 16) to base 11
33a757
-2d5fa5 (base 16) to base 6
-143422405
-26a7b8 (base 13) to base 9
-1677605
Convert 580404 (base 10) to base 2.
10001101101100110100
What is 1748773 (base 9) in base 3?
1211122212110
-320141015 (base 6) to base 2
-10101011010000110000011
What is 4424200 (base 5) in base 11?
52779
-677711 (base 8) to base 15
-47e31
Convert 42cb66 (base 13) to base 5.
400224401
What is 20603454 (base 7) in base 3?
10021212102220
Convert -3345123 (base 6) to base 5.
-20411421
Convert -200066 (base 8) to base 13.
-23b15
|
{
"pile_set_name": "DM Mathematics"
}
|
- 4. Suppose 0*p = t*p - 20. Let v be ((-5)/(-3))/(p/(-30)). Put 1, v, 5 in descending order.
5, 1, v
Let u be (12/(-3))/(-4)*12/(-3). Let p = 1 + 1. Suppose -5*s - p = -17. Sort s, u, -5 in descending order.
s, u, -5
Suppose 4*f = 19 + 1. Let l = -19 + 23. Suppose 0 = -f*j + v + 5, l*v = 5*j + v - 5. Sort j, 5, -5.
-5, j, 5
Suppose 4*j = -j. Let o be (j - 1)/(-1) - 1. Let r be (-2)/16*1*2. Put o, r, 1 in descending order.
1, o, r
Let o = 9 - 8. Let s = -13 + 10. Put o, 0.1, 5, s in descending order.
5, o, 0.1, s
Let x = 28.1 + -28.11. Suppose 6 + 4 = 3*h - 5*b, 4*h + 3*b + 35 = 0. Sort -4, x, h, 2 in decreasing order.
2, x, -4, h
Let k = 211 + -1057/5. Sort -1.2, 2, 5, k in descending order.
5, 2, k, -1.2
Let h = -1966 - -13761/7. Suppose 26 = 2*i - 3*i. Let a be i/18 + 2 + -1. Put h, a, 4 in increasing order.
a, h, 4
Let o be 1928/60 - 12/90. Put -0.4, -5, o, -3/4 in increasing order.
-5, -3/4, -0.4, o
Let w = -120 + 120.083. Let q = 0.153 - w. Put -3, -0.4, q, 2 in increasing order.
-3, -0.4, q, 2
Let o = 5 + -4. Let l be (2/3)/((-2)/(-15)). Suppose a = -2*b - 2, 0 = -l*b - 2*a - 3*a - 10. Put o, b, 3 in increasing order.
b, o, 3
Suppose 2*c = c + 5*o - 10, c - 3*o = -4. Let l = 6 + -3. Let x = 2176.6 + -2181.6. Sort l, x, c in decreasing order.
c, l, x
Let i(x) = x**2 - 6*x - 23. Let f be i(-3). Sort -5, f, -36 in ascending order.
-36, -5, f
Suppose 3*o - 55 + 13 = 0. Suppose -18*q - 4 = -o*q. Put -2, q, 1, 3 in decreasing order.
3, 1, q, -2
Suppose 2*d - 21 = -t, -4*t - d + 135 = 51. Suppose 2*q = 5*q - t. Put -4, q, 1 in ascending order.
-4, 1, q
Suppose 3*w + 5*q = -10, -2*q + 10 = -w + 3*q. Let u be (12/(-18))/((-4)/(-6)). Suppose -32 = -41*a + 50. Sort w, a, u.
w, u, a
Let c = -3 + 11/4. Let m = 49 - 44. Put 3, m, -9, c in descending order.
m, 3, c, -9
Suppose -5*j - 4 = 3*a, 5*j - 2*j = -6. Let u(y) = -y**3 - 6*y**2 + y + 7. Let h be u(-6). Let t = 0 + h. Sort -2, a, t in increasing order.
-2, t, a
Let j be 2/(-6) + 325/(-15). Let o = j + 22. Put 4, 1, o in ascending order.
o, 1, 4
Let f = 1879 + -1879.03. Sort 1/33, f, -3, -4.
-4, -3, f, 1/33
Let t = 0 - -0.1. Let n = 153 - 118.7. Let l = 34 - n. Put -5, l, t in increasing order.
-5, l, t
Let g(r) = 2*r - 14. Let k be g(8). Let x(d) = -d + 12. Let f be x(k). Suppose -4*t = -0*t. Sort f, t, -3 in increasing order.
-3, t, f
Let z = -125/36 + 13/4. Let w = 17/36 + z. Put 0.3, w, 0, 5 in increasing order.
0, w, 0.3, 5
Suppose 4*i = -12 + 12. Let n = -0.08 + 0.08. Let h = n - -2. Sort -3, i, h in ascending order.
-3, i, h
Let k(r) = -r**3 + r**2 + 4. Let m be k(0). Suppose 3*j - 5 + 2 = 0. Suppose -18 = -2*p - 3*d, d = -0*p + p + j. Sort p, m, 2 in ascending order.
2, p, m
Let p = 0.493 - 0.193. Sort -0.1, 32.5, p in descending order.
32.5, p, -0.1
Suppose 156*r + 1 = 155*r. Sort r, -87, -3 in descending order.
r, -3, -87
Suppose -3*u - 3 = 9, 3*a + 2*u + 29 = 0. Let i be ((-6)/9)/(10/45). Put a, i, 1 in descending order.
1, i, a
Let z = -1 - 3. Let h = -304.1 + 304. Sort 0.5, -2/5, z, h in decreasing order.
0.5, h, -2/5, z
Suppose -140 + 17 = 3*d. Let h = 39 + d. Put h, -4, 3 in decreasing order.
3, h, -4
Let p = -2179 + 10892/5. Sort p, 22/5, -4 in descending order.
22/5, p, -4
Let l = 27.7 - 28. Let a be (-1)/(1*(-1)/5). Sort l, 5/4, a in descending order.
a, 5/4, l
Suppose 18*w = 12 - 66. Sort -9, -6, -1, w in increasing order.
-9, -6, w, -1
Let f = 0.08 + -3.08. Let k = -8.2 + 10.2. Put 7, k, f in descending order.
7, k, f
Let f = -4 - 1. Let v = 52.5 + -52.47. Put v, 4, f, 0 in decreasing order.
4, v, 0, f
Suppose -p = 2*p - 3. Suppose 0*u = -4*u - 2*q + 252, -66 = -u - 2*q. Suppose y + 57 - u = 0. Sort p, -4, y in ascending order.
-4, p, y
Suppose 4*u + u = 0. Suppose u = o + 7 - 2. Put o, 1, 4 in descending order.
4, 1, o
Suppose -1392*d = -1397*d + 15. Sort d, 0, 2, -3 in ascending order.
-3, 0, 2, d
Let l = -23 - -22.6. Let p = -1.99 - -2. Let m = p - 0.01. Sort m, -3/2, l.
-3/2, l, m
Let r = 22 - 19. Sort -5, 1, r, -0.02 in descending order.
r, 1, -0.02, -5
Let d(m) = -m + 17. Let o be d(14). Sort o, 7, 0.
0, o, 7
Let j(h) = 518*h**3 + 17*h**2 - 1 - 2 + 18*h - 519*h**3. Let p be j(18). Let c = 3 + -4. Sort c, 1, p in increasing order.
p, c, 1
Let f = 37.4 + -37. Let n be ((-6)/(-4))/(3/6). Sort f, 1, n in descending order.
n, 1, f
Let z = 0.06 - 0.16. Let p = 82.3 - 82. Let w = z + p. Sort w, 0, 5 in decreasing order.
5, w, 0
Suppose 4*d - 4 - 4 = 0. Suppose 9*c = 11*c - 8. Let l be (-6)/16*c/6. Put d, 1/8, l in increasing order.
l, 1/8, d
Let s = 0.756 + 1.344. Sort -1, 0.3, -5, s in descending order.
s, 0.3, -1, -5
Let f = 200.48 - 201. Put 2, f, -1 in descending order.
2, f, -1
Let o = -92 + 94. Put 8, 1, o in descending order.
8, o, 1
Let y(x) = -28*x + 196. Let t be y(6). Put t, -1, 0 in increasing order.
-1, 0, t
Let q = 0.1 - 2.4. Let f = q + 2.1. Let r = -6 - -2. Sort f, r, -1/4.
r, -1/4, f
Suppose 5*l + 6 = 5*s + 3*l, -5*l + 16 = 3*s. Sort -3, s, -2, -6/13 in descending order.
s, -6/13, -2, -3
Let v be (3/(-2) - 1)/((-2)/4). Put -3, 20, 2, v in increasing order.
-3, 2, v, 20
Let k be 8/16 - (-154)/4. Suppose 4*i = k - 35. Put i, 3, 6 in descending order.
6, 3, i
Let o = 521.87 - 519.87. Let v be -1 - ((-33)/10)/3. Sort o, 1, v.
v, 1, o
Let n = -1675 + 1674.9. Sort -3, 2, 0, n.
-3, n, 0, 2
Suppose 3 - 9 = -3*u. Suppose 0 = 8*i - 3*i + 5*r - 15, -3*i = u*r - 6. Sort 6, -3, i in decreasing order.
6, i, -3
Suppose 5 = -g + 15. Suppose 5*o + 9 = -2*q - 8, g = 2*o + 5*q. Let p(y) = 80*y - 718. Let r be p(9). Sort o, 0, r in increasing order.
o, 0, r
Let y be (1/(-3))/((-48)/(-192)). Put -9.1, y, -0.3 in ascending order.
-9.1, y, -0.3
Let p = -85.97 + 87. Let o = p + 0.27. Let l = 3.3 - o. Sort l, 1, 4 in descending order.
4, l, 1
Let l be (-3)/(((-2)/(-2))/1). Let m be (11/275)/(4/60*3). Sort m, 2/15, l.
l, 2/15, m
Let p = -29159/2475 - -106/9. Let x = 33403374 - 82673349559/2475. Let g = x - p. Sort -1, -3/7, g in ascending order.
-1, -3/7, g
Suppose 24 = 5*i + l, -28 = -i - 2*i - 4*l. Suppose -i = -8*z - 44. Suppose -3*m + 4*g + 9 = 0, 0*m - 2*g = 4*m - 12. Put 6, m, z in ascending order.
z, m, 6
Suppose 7*k - 4*k = 5*z + 5, -23 = -4*z - 3*k. Let q = -26 + 15. Let x = q - -5. Sort x, z, -4 in ascending order.
x, -4, z
Let z(b) = b**2 + 3*b + 1. Let x(n) = -n**2 - 15*n - 18. Let p be x(-14). Let y be z(p). Suppose 0 = -y*g + 8*g - 12. Sort -3, g, -9 in ascending order.
-9, -3, g
Suppose 0 = -u + 10 - 6. Put 0, u, 5, 2 in ascending order.
0, 2, u, 5
Let w = 1104 - 1106. Put 0, 7, w in descending order.
7, 0, w
Let h be (-6 + 2)*1/(-14). Let m = 40.1 + -41.3. Put 2, h, m in decreasing order.
2, h, m
Let o = 12 - 1. Suppose -x = -0 + 4. Sort -2, 0, x, o.
x, -2, 0, o
Let g = -6.6 + 6. Let h = 1.1 + g. Let r = 913/1160 + 3/232. Put h, 0, r in decreasing order.
r, h, 0
Let x(b) = b**3 - 16*b**2 - b + 11. Let j(a) = -a**3 + 15*a**2 + a - 11. Let s(p) = 3*j(p) + 2*x(p). Let r be s(13). Sort -1, -5, r in ascending order.
-5, -1, r
Suppose 10*t = 45 + 15. Suppose -t*z - 4*z - 10 = 0. Sort z, 77, -2, 0.
-2, z, 0, 77
Let l = 0.653 - 2.653. Suppose -5*u - v + 7 - 3 = 0, u - 5*v + 20 = 0. Sort -0.4, l, u, 3 in ascending order.
l, -0.4, u, 3
Let o = 2900 + -345102/119. Let j = 216/1309 - o. Put j, -2, 3 in decreasing order.
3, j, -2
Suppose 0 = 3*a - 4*k - 7, 7 = -4*k + 15. Suppose 0 = -5*x + w + 15, 0 = -x + 3*x - 2*w + 2. Suppose a*z = u + x - 23, z + 7 = u. Sort 3, z, 4.
z, 3, 4
Let t be (270/(-60))/((-6)/4). Suppose w - 2*m + 1 = -3*m, 3*m = -5*w - 9. Sort w, t, 48, -1 in increasing order.
w, -1, t, 48
Let s = 34.6 - 35. Let p = 1.29 - 20.39. Let j = p + 19. Put s, j, -4 in ascending order.
-4, s, j
Let b = -0.04 - 0.96. Let r = -11 + 13. Let w be (-4)/2*r/24. Sort b, w, -1/5.
b, -1/5, w
Let u = -659.5 - -659. Put -0.137, u, -0.3 in increasing order.
u, -0.3, -0.137
Let k = 1 + 0. Let x be -2*((-3)/k)/3. Put 1, -8, -1, x in descending order.
x, 1, -1, -8
Suppose b - 16 = 5*b. Let x = -1787.5 + 1787. Put -1, b, x, 4 in ascending order.
b, -1, x, 4
Let f = -2 + 0. Let u = -898/555 - -2/111. Sort f, -0.4, u in descending order.
-0.4, u, f
Let o = -2351/2 + 1176. Let s be 6/21 + 23/(-56). Sort s, o, 3/8 in descending order.
o, 3/8, s
Let t = -3 + 3. Let q = 365 + -366. Put -2, 2/3,
|
{
"pile_set_name": "DM Mathematics"
}
|
10*((-194)/(-10) - 2). Suppose -11*b + 17*b = k. Let h(s) = -4*s - 2. What is the remainder when b is divided by h(-2)?
5
Suppose -41*y = 13032 - 36689. What is the remainder when y is divided by 26?
5
Suppose -q + 14507 = 5*d, -3*d = -3*q - 0*q - 8715. What is the remainder when d is divided by 88?
86
Let q(z) = -z**2 + 22*z - 25. Let k be q(9). Let d = k + -66. Calculate the remainder when d is divided by 9.
8
Suppose -24 = -5*o - 2*b, -3*o + 2*b + 24 = -0*b. Let f(h) = 2*h + 10. Calculate the remainder when f(o) is divided by -1 + 0 + 8 + 1.
6
Let v(a) = -a**2 + 16*a - 7. Let x be v(16). What is the remainder when 35 is divided by -5*((-18)/7)/((-5)/x)?
17
Let y = 4 - 6. Calculate the remainder when 35 is divided by 2 - (1/(y/34))/1.
16
Suppose 5*r + q + 207 = 1262, -5*r + 1080 = -4*q. Suppose -4*m = -r + 12. What is the remainder when m is divided by -1*39/(-6)*2?
11
Let j = 16 - 10. Suppose 0*s - 60 = -4*s. Suppose -5*v - 5 = -s. What is the remainder when j is divided by v?
0
Suppose -n + 0*n + 3*c = 25, -5*n = 3*c + 89. Let d = -3 - n. Suppose -5*o + 5*h = -120, -d = -o + 2*h + 3*h. Calculate the remainder when 77 is divided by o.
25
Let b = 566 - 526. Calculate the remainder when b is divided by 7.
5
Let u(c) = -5*c + 37. Calculate the remainder when 8 is divided by u(7).
0
Suppose -1212 = -4*o - 5*h, -3*o - 11*h = -6*h - 909. Calculate the remainder when o is divided by 8.
7
Let u(p) = 3*p**2 - 12*p + 19. What is the remainder when 174 is divided by u(2)?
6
Let l(o) = -o + 23*o**2 - 27*o**3 + o - 24*o**2. Calculate the remainder when l(-1) is divided by 9.
8
Suppose -66 = -4*p + 42. Let l be (-4)/(-6) + (-50)/(-15) - -208. Suppose 5*n + 341 = 4*a, -l = -a - 2*a - 5*n. What is the remainder when a is divided by p?
25
Let n(g) = 2*g**2 + 22*g - 38. What is the remainder when 82 is divided by n(-13)?
12
Let y(z) = -2*z**2 - 17*z - 11. What is the remainder when y(-6) is divided by 7?
5
Let a be (0*(-4)/(-12))/2. Suppose a = -17*z + 7*z + 140. Calculate the remainder when 43 is divided by z.
1
Let y = -13 - 15. Let m = y + 16. What is the remainder when 40 is divided by (-42)/(-8)*(-32)/m?
12
Let j = 112 - 59. Let o = j - 48. What is the remainder when 14 is divided by o?
4
Let m be (-5)/(-2)*(-14)/7. Let u = 5 + m. Suppose 84 = 2*g - d - d, -g - d + 34 = u. Calculate the remainder when g is divided by 13.
12
Suppose -v + 36 = 2*v. What is the remainder when (-10450)/(-285) - ((-2)/6 - 0) is divided by (2/(-6) - -1)*v?
5
Let u = -112 + 190. Suppose 2*i + 70 = 270. Suppose 2*x + 3*x = i. Calculate the remainder when u is divided by x.
18
Suppose c - 4 = 2*i, i - 2 = c - 4. Suppose c = -b + 19 + 11. What is the remainder when 84 is divided by b?
24
Let u = -22 - -40. Let y = -436 - -523. Calculate the remainder when y is divided by u.
15
Suppose 270 = 3*o + 3*o. Let i = -24 + o. Suppose -3*n - 2*f = -14, 0 = -2*f - 2*f - 20. Calculate the remainder when i is divided by n.
5
Let w(a) = -a**3 - a**2 - a. Let q(b) = b + 4. Let x be q(-5). Suppose 0 = -g + 1 + 1. What is the remainder when g is divided by w(x)?
0
Let j be 126/3 + 2/(-2). Let l = 88 - j. Suppose 24*o = -d + 27*o, 0 = -2*o + 8. Calculate the remainder when l is divided by d.
11
Let d = -92 - -136. Calculate the remainder when d is divided by 4.
0
Let l = 88 + -172. Let p = -48 - l. Calculate the remainder when p is divided by 13.
10
Let o(n) = 3*n**2 + 8*n + 7. Suppose -t - 4*c + 24 = -c, -4*c = -8. What is the remainder when o(-6) is divided by t?
13
Suppose -30 = 5*v + 15. What is the remainder when 174 is divided by (v/(-6))/((-6)/(-176))?
42
Let g = 1091 + -1048. Suppose -82 = -y + r, r + 3*r = -4*y + 320. Calculate the remainder when y is divided by g.
38
Let f(c) = -4*c. Let a = -24 - -50. Suppose 5*z + 1 = a. What is the remainder when f(-3) is divided by z?
2
Suppose 0*w + 3*w + 2*s = 26, 0 = -4*w - 2*s + 32. Suppose 3*d - w*d + 170 = -p, -2*p + 45 = d. Calculate the remainder when d is divided by (38/(-4))/((-2)/4).
17
Suppose -6*y + 7*y - 227 = 0. Calculate the remainder when y is divided by 5*27/(-45) - 7*-7.
43
Suppose -154 = -2*l - 2*u, l - 17*u - 57 = -13*u. What is the remainder when 727 is divided by l?
70
Let m(l) = l**3 - 4*l**2 - 9*l - 2. What is the remainder when m(6) is divided by 6?
4
Suppose 8*m - 11*m = 0. Suppose m = r + 2*r - 3. Calculate the remainder when 2 is divided by r.
0
Let g(q) = 2*q**3 + q**2 + 3*q - 6. Let b be g(4). Suppose -4*i = -i. Suppose -5*n + b = -i*n. Calculate the remainder when n is divided by 16.
14
Let h(o) = -o**3 + 13*o + 16. Calculate the remainder when h(-5) is divided by 4 + (1 - 3*-12).
35
Suppose 0 = m - k - 63, -3*m - 2*m = 5*k - 285. What is the remainder when 177 is divided by m?
57
Suppose -9*t + 323 = -721. What is the remainder when t is divided by 35?
11
Let l = 76 - 51. Calculate the remainder when (0 + 6)*l/10 is divided by 6.
3
Suppose 4*m - 148 = 3*l + l, 3*l = 2*m - 78. What is the remainder when 193 is divided by m?
28
Let b = -2316 - -2335. Calculate the remainder when 43 is divided by b.
5
Let w = -5 - -24. Suppose -13*r + w*r = 186. Calculate the remainder when r is divided by 16 + 1 - (0 + 0).
14
Suppose z = 2*z - 24. Suppose 0 = 3*o - 5*o + 654. Let s = o + -233. Calculate the remainder when s is divided by z.
22
Suppose 0 = 207*k - 218*k + 1562. Calculate the remainder when 1417 is divided by k.
139
Suppose 0 = 14*w - 278 - 1164. Suppose -107*q + w*q + 648 = 0. Calculate the remainder when q is divided by 33.
30
Let z = -126 + 79. Let m = z + 100. Calculate the remainder when m is divided by 14.
11
Let u = -27 + 63. Suppose -3*w + 5*j = -35, -4*w + 2*j - 6*j = -4. What is the remainder when w is divided by -1*(-8)/u - 32/(-18)?
1
Let y = -365 - -432. What is the remainder when y is divided by 7?
4
Let g be (-2)/(-2)*(3 + -1). What is the remainder when 24 is divided by (g + 1)*30/18?
4
Let u(t) = -t - 3. Let x be u(-6). Calculate the remainder when 25/2 + x/6 is divided by 5.
3
Let v(x) = 19*x - 60. Let y be (2 + 2 - 2) + 5. Calculate the remainder when v(6) is divided by y*(4 - 4/2).
12
Suppose -90 + 365 = 5*m. Suppose 0 = -w - w - 5*f + m, 5*w - 4*f - 88 = 0. Calculate the remainder when 38 is divided by w.
18
Let w = -1725 + 3278. Calculate the remainder when w is divided by 21.
20
Calculate the remainder when 8*(2 - (-39)/(-24)) is divided by 3.
0
Suppose -15*v + 135 = -10*v. Let n be v*(40/(-6))/5. Let z = n + 54. Calculate the remainder when z is divided by 10.
8
Suppose -4*n - 4*k + 608 = 0, n - 4*k + 16 = 173. Calculate the remainder when n is divided by 44.
21
Suppose 0 = -4*u + 4 + 4. Suppose u*z + p - 36 = 0, 4 = -z + 8*p - 3*p. What is the remainder when 29 is divided by z?
13
Suppose -509 = -3*l - y, -5*l + y + 1023 = 188. What is the remainder when l is divided by 13?
12
Let n(m) = -m**2 - 11*m + 2. Let c = -601 - -678. What is the remainder when c is divided by n(-9)?
17
Suppose 0 = -2*g + g - 7. Let t(h) = h**2 + 5*h - 6. What is the remainder when (1 - (0 + 6)) + 44 is divided by t(g)?
7
Let s(k) = k**2 - 3*k - 4. Let v(x) = -7*x - 1. What is the remainder when v(-4) is divided by s(-3)?
13
Let g be (-3094)/(-21) - (-2)/3. Let d = g - 76. Let x = d - 49. What is the remainder when x is divided by 12?
11
Let c(i) = -i**3 - 9*i**2 + 19*i - 10. Let f(z) = 3*z**2 + 5*z - 10. Calculate the remainder when f(-6) is divided by c(-11).
22
Let w = 282 + -249. Calculate the remainder when 94 is divided by w.
28
Let r(a) = -8*a**2 + 374*a + 96. What is the remainder when r(47) is divided by (10/(-4) - -2)*-2?
0
Suppose -5*m = -10*m - h + 315, 5*m + 5*h = 315. What is the remainder when 2/4 + m/2 is divided by 132/18*(-3)/(-2)?
10
Let q = 156 - 137. Calculate the remainder when 94 is divided by q.
18
Let h(f) = 17*f**2 - f**3 + 3 - 3*f - 34*f**2 + 22*f**2. Calculate the remainder when 20 is divided by h(4).
6
Suppose -88*m = -78*m - 310. Calculate the remainder when 123 is divided by m.
30
Suppose -113 = -6*g + 121. Suppose -3*v + 0*v + u = -25, -5*v = -3*u - g. What is the remainder when 23 is divided by v?
5
Let u(k) = k**3 - k**2 - k + 3. Let o be u(0). Suppose 5*q + 92 = z, o*z + 256 = 6*z + 5*q. Calculate the remainder when z is divided by 30.
27
Suppose -2*o = l - o - 82, -246 = -3*l - 5*o
|
{
"pile_set_name": "DM Mathematics"
}
|
er of 1/5, to the nearest integer?
10
What is 16137714 to the power of 1/2, to the nearest integer?
4017
What is the square root of 2379131 to the nearest integer?
1542
What is the third root of 13704511 to the nearest integer?
239
What is 453971 to the power of 1/2, to the nearest integer?
674
What is the cube root of 17416068 to the nearest integer?
259
What is the square root of 1716192 to the nearest integer?
1310
What is the cube root of 1350201 to the nearest integer?
111
What is 1608658 to the power of 1/10, to the nearest integer?
4
What is 1165198 to the power of 1/2, to the nearest integer?
1079
What is the third root of 67600 to the nearest integer?
41
What is the square root of 216490 to the nearest integer?
465
What is the third root of 1301202 to the nearest integer?
109
What is 3071843 to the power of 1/2, to the nearest integer?
1753
What is 12478963 to the power of 1/2, to the nearest integer?
3533
What is the square root of 431414 to the nearest integer?
657
What is the cube root of 5541909 to the nearest integer?
177
What is 304806 to the power of 1/2, to the nearest integer?
552
What is the square root of 364456 to the nearest integer?
604
What is 704453 to the power of 1/10, to the nearest integer?
4
What is the third root of 518613 to the nearest integer?
80
What is the sixth root of 690175 to the nearest integer?
9
What is 461299 to the power of 1/2, to the nearest integer?
679
What is the tenth root of 683623 to the nearest integer?
4
What is 507200 to the power of 1/2, to the nearest integer?
712
What is 3545 to the power of 1/9, to the nearest integer?
2
What is the eighth root of 367658 to the nearest integer?
5
What is 354679 to the power of 1/6, to the nearest integer?
8
What is the third root of 268977 to the nearest integer?
65
What is the cube root of 50824 to the nearest integer?
37
What is 2081312 to the power of 1/2, to the nearest integer?
1443
What is 593360 to the power of 1/8, to the nearest integer?
5
What is the third root of 12317421 to the nearest integer?
231
What is the square root of 94331 to the nearest integer?
307
What is 417743 to the power of 1/3, to the nearest integer?
75
What is 3278661 to the power of 1/3, to the nearest integer?
149
What is the ninth root of 1439325 to the nearest integer?
5
What is the cube root of 322833 to the nearest integer?
69
What is the third root of 174962 to the nearest integer?
56
What is 9607715 to the power of 1/7, to the nearest integer?
10
What is the tenth root of 322392 to the nearest integer?
4
What is 17380 to the power of 1/7, to the nearest integer?
4
What is the fifth root of 58699 to the nearest integer?
9
What is the seventh root of 74312 to the nearest integer?
5
What is the fifth root of 421571 to the nearest integer?
13
What is 642683 to the power of 1/3, to the nearest integer?
86
What is 640444 to the power of 1/5, to the nearest integer?
14
What is the square root of 2078026 to the nearest integer?
1442
What is the third root of 13649909 to the nearest integer?
239
What is 13489666 to the power of 1/7, to the nearest integer?
10
What is the cube root of 472364 to the nearest integer?
78
What is the fourth root of 20786055 to the nearest integer?
68
What is 15014991 to the power of 1/2, to the nearest integer?
3875
What is 3999317 to the power of 1/8, to the nearest integer?
7
What is the square root of 2304461 to the nearest integer?
1518
What is 1939774 to the power of 1/8, to the nearest integer?
6
What is 266823 to the power of 1/3, to the nearest integer?
64
What is 9554589 to the power of 1/8, to the nearest integer?
7
What is the cube root of 280868 to the nearest integer?
65
What is the third root of 2821134 to the nearest integer?
141
What is 1773312 to the power of 1/6, to the nearest integer?
11
What is 49482 to the power of 1/2, to the nearest integer?
222
What is 12677785 to the power of 1/2, to the nearest integer?
3561
What is 376353 to the power of 1/2, to the nearest integer?
613
What is the cube root of 1886258 to the nearest integer?
124
What is 79908 to the power of 1/2, to the nearest integer?
283
What is the cube root of 114119 to the nearest integer?
49
What is 1116222 to the power of 1/10, to the nearest integer?
4
What is 702615 to the power of 1/2, to the nearest integer?
838
What is the cube root of 3797146 to the nearest integer?
156
What is 16114892 to the power of 1/10, to the nearest integer?
5
What is 26709075 to the power of 1/2, to the nearest integer?
5168
What is 440453 to the power of 1/3, to the nearest integer?
76
What is 7409730 to the power of 1/2, to the nearest integer?
2722
What is the seventh root of 4439523 to the nearest integer?
9
What is the third root of 459035 to the nearest integer?
77
What is the third root of 1022857 to the nearest integer?
101
What is the fourth root of 132418 to the nearest integer?
19
What is 19728756 to the power of 1/7, to the nearest integer?
11
What is the third root of 172216 to the nearest integer?
56
What is the third root of 458218 to the nearest integer?
77
What is the third root of 6779158 to the nearest integer?
189
What is 25929967 to the power of 1/2, to the nearest integer?
5092
What is 563438 to the power of 1/3, to the nearest integer?
83
What is the cube root of 39684280 to the nearest integer?
341
What is 10167636 to the power of 1/2, to the nearest integer?
3189
What is 572885 to the power of 1/2, to the nearest integer?
757
What is the square root of 4471934 to the nearest integer?
2115
What is 75723 to the power of 1/4, to the nearest integer?
17
What is the third root of 953241 to the nearest integer?
98
What is the square root of 824838 to the nearest integer?
908
What is the fifth root of 2913171 to the nearest integer?
20
What is 24167839 to the power of 1/3, to the nearest integer?
289
What is the sixth root of 207902 to the nearest integer?
8
What is the square root of 15545854 to the nearest integer?
3943
What is the third root of 13094 to the nearest integer?
24
What is 640008 to the power of 1/2, to the nearest integer?
800
What is the square root of 19033831 to the nearest integer?
4363
What is 88430 to the power of 1/3, to the nearest integer?
45
What is the fourth root of 115508 to the nearest integer?
18
What is the fourth root of 1747207 to the nearest integer?
36
What is the square root of 9725701 to the nearest integer?
3119
What is 3315602 to the power of 1/2, to the nearest integer?
1821
What is 3114639 to the power of 1/3, to the nearest integer?
146
What is the square root of 2738743 to the nearest integer?
1655
What is the sixth root of 144818 to the nearest integer?
7
What is 477802 to the power of 1/2, to the nearest integer?
691
What is 367443 to the power of 1/3, to the nearest integer?
72
What is 490050 to the power of 1/7, to the nearest integer?
6
What is 9372960 to the power of 1/2, to the nearest integer?
3062
What is the seventh root of 1632338 to the nearest integer?
8
What is the cube root of 5452437 to the nearest integer?
176
What is the third root of 73358 to the nearest integer?
42
What is 6376080 to the power of 1/2, to the nearest integer?
2525
What is the square root of 28531836 to the nearest integer?
5342
What is the sixth root of 6958466 to the nearest integer?
14
What is the cube root of 1114091 to the nearest integer?
104
What is 18324944 to the power of 1/3, to the nearest integer?
264
What is the cube root of 20814195 to the nearest integer?
275
What is the square root of 7781422 to the nearest integer?
2790
What is 3474957 to the power of 1/2, to the nearest integer?
1864
What is 374229 to the power of 1/7, to the nearest integer?
6
What is the seventh root of 1406281 to the nearest integer?
8
What is the eighth root of 9989369 to the nearest integer?
7
What is the cube root of 4235419 to the nearest integer?
162
What is 1710498 to the power of 1/2, to the nearest integer?
1308
What is 787643 to the power of 1/2, to the nearest integer?
887
What is 612506 to the power of 1/3, to the nearest integer?
85
What is 241116 to the power of 1/3, to the nearest integer?
62
What is 8672711 to the power of 1/2, to the nearest integer?
2945
What is 2269990 to the power of 1/7, to the nearest integer?
8
What is
|
{
"pile_set_name": "DM Mathematics"
}
|
27) + -1 + sqrt(27)) - sqrt(27) - sqrt(27))**2))*-6.
-1488 + 90*sqrt(3)
Simplify (-2*sqrt(1980) - sqrt(1980))/sqrt(5) - (sqrt(22)/sqrt(2)*2 + 4).
-20*sqrt(11) - 4
Simplify (-4*(-4 + sqrt(8)*-3) + -2)**2.
672*sqrt(2) + 1348
Simplify ((sqrt(30) - -6*sqrt(30)*-2) + sqrt(30))/(-3*sqrt(10)*-1) + 5.
-10*sqrt(3)/3 + 5
Simplify -3 + ((0 + sqrt(343) + sqrt(567) + 3 + sqrt(567))*-5)**2.
3750*sqrt(7) + 109597
Simplify ((5 + ((sqrt(200) - sqrt(200)*2) + 2 - (sqrt(200) - (-2 + sqrt(200))*-5)))*-4)**2.
-38080*sqrt(2) + 161424
Simplify (2*((sqrt(336)*-3)/sqrt(8))/(sqrt(6) - (sqrt(36) + sqrt(144))/sqrt(6)))**2.
63
Simplify ((sqrt(77)*1 + sqrt(77) + sqrt(77) + sqrt(77) - sqrt(77))*-4*1)/(sqrt(42)/(sqrt(96)*6)).
-288*sqrt(11)
Simplify ((sqrt(57) + (sqrt(57) + sqrt(114)/sqrt(2) - sqrt(57))*2)/(sqrt(6)/sqrt(2)*-3)*-3 + 0)**2.
171
Simplify -5*(sqrt(171) + (sqrt(171)*2 - sqrt(171))*-5)/(sqrt(9) + sqrt(9) + -6*-1*sqrt(9)) + -4.
-4 + 5*sqrt(19)/2
Simplify ((sqrt(504) - sqrt(504)*4)/sqrt(12) - sqrt(42))/(-1*sqrt(600)).
2*sqrt(7)/5
Simplify ((sqrt(105)*1)/sqrt(7))/(-1*-1*sqrt(3)) + 1.
1 + sqrt(5)
Simplify ((-4*(sqrt(170) - (sqrt(170)*-1 - sqrt(170))))/sqrt(10))**2 + (1*-2*sqrt(17) - sqrt(17)*-1*1).
-sqrt(17) + 2448
Simplify 3 + ((2*-2*sqrt(171) + sqrt(171))/(sqrt(72)/sqrt(8)*-5))**2.
246/25
Simplify (4 + sqrt(180) - (sqrt(60)/sqrt(3) + -5)) + 2.
4*sqrt(5) + 11
Simplify ((-1*sqrt(77) + sqrt(77))*-2*-4)/(1*sqrt(1100) - (sqrt(11) + sqrt(1100)*-1 + sqrt(1100) - sqrt(11))).
0
Simplify 1 + (2*(sqrt(304) + 2) - sqrt(304))**2 + 2.
32*sqrt(19) + 323
Simplify 2*(((-3 + (2*sqrt(833) - sqrt(833)))*-5)**2 - (-3 + (sqrt(833) + -1)**2 + sqrt(833) + -6*sqrt(833)*-2)).
-2254*sqrt(17) + 40438
Simplify -1*(5 + sqrt(832)*6 - (sqrt(832) + (sqrt(832) - ((-4*sqrt(832) - sqrt(832))*2 + sqrt(832))))).
-5 + 40*sqrt(13)
Simplify 5 + (1 + 3 + 1 + sqrt(2448))**2*-2.
-4941 - 240*sqrt(17)
Simplify (sqrt(6) + (3*sqrt(30))/sqrt(5))/(sqrt(500)/sqrt(10)).
4*sqrt(3)/5
Simplify (-4*sqrt(112)/sqrt(8))/sqrt(2) - (sqrt(112)/sqrt(4) + -2).
-6*sqrt(7) + 2
Simplify (sqrt(480)*1 + sqrt(480) - sqrt(30))/(-2*sqrt(90)).
-7*sqrt(3)/6
Simplify (0 + (sqrt(36)/(sqrt(2)*-2 - sqrt(2)))/(sqrt(6) + sqrt(24)/(sqrt(20)/sqrt(5))))**2.
1/12
Simplify (0 + (sqrt(9)/sqrt(3))**2)*1 + (sqrt(363)*-2)**2 + -4.
1451
Simplify (-2*(2*-2*sqrt(605) + -5 + -5))**2.
3520*sqrt(5) + 39120
Simplify (-5*sqrt(228)*3)/(sqrt(432)*-1 + sqrt(12) + sqrt(12)).
15*sqrt(19)/4
Simplify (sqrt(44)/(5*(-2*sqrt(2) - sqrt(2))))/(sqrt(704) - sqrt(704)*-2*2).
-sqrt(2)/600
Simplify (-2*(sqrt(121) + 2*(2*sqrt(121) + sqrt(121))))/(-2*sqrt(176) - (sqrt(176)/sqrt(4))/sqrt(4)).
14*sqrt(11)/9
Simplify ((sqrt(80) - (-2*sqrt(80) + sqrt(80)))/sqrt(8))/(-3*sqrt(80)).
-sqrt(2)/6
Simplify (sqrt(660)/(-1*sqrt(11) - sqrt(11))*-5)/(6*-3*sqrt(192)).
-5*sqrt(5)/144
Simplify (-4*(sqrt(1862) + sqrt(1862)*-1 + sqrt(1862)))/(-3*(1*sqrt(4))/sqrt(2)).
28*sqrt(19)/3
Simplify (6*((sqrt(156)/sqrt(3))/sqrt(4) - (sqrt(26)*2)/sqrt(2))*6)**2.
16848
Simplify -2 + (2 + sqrt(68) + 1)**2 + 0 + sqrt(833) + -1.
74 + 19*sqrt(17)
Simplify ((-2*sqrt(80))**2 + sqrt(5))*2 + (sqrt(5) + -1)*2*-5.
-8*sqrt(5) + 650
Simplify ((sqrt(200) + (sqrt(200) - -1*sqrt(200)))/sqrt(8))/(3*sqrt(125)) + 5.
sqrt(5)/5 + 5
Simplify (-4 + -2 + sqrt(567) - sqrt(567))**2 - (3 + sqrt(567))*1.
-9*sqrt(7) + 33
Simplify (-4*1*(sqrt(190) - -1*sqrt(190)))/(sqrt(10) + (sqrt(10) - (sqrt(80)/(sqrt(8)*2) - sqrt(10))) - 1*2*sqrt(10)).
-16*sqrt(19)
Simplify (5 + (-1*sqrt(96)*-5 + sqrt(96))/(sqrt(192) - -5*sqrt(192)*-2))**2.
-10*sqrt(2)/3 + 227/9
Simplify ((1*sqrt(240)*-1 + sqrt(240))/sqrt(6))/(sqrt(16)/(-1*sqrt(2) - sqrt(2)) - sqrt(8)*-1*1).
0
Simplify (-1*(sqrt(209)*1 + sqrt(209)))/sqrt(11) + 1 + sqrt(19) + (sqrt(171)*-1 - sqrt(171)).
-7*sqrt(19) + 1
Simplify (sqrt(170)/(3*(sqrt(10) + sqrt(50)/sqrt(5))) - ((sqrt(17) + sqrt(17)*2*4)**2 + 4*sqrt(272)))*-2.
95*sqrt(17)/3 + 2754
Simplify (-4*(-4 + -1*sqrt(68) - (sqrt(68) + 0 + sqrt(68) + sqrt(68) + 2))*5*-3)**2.
345600*sqrt(17) + 4046400
Simplify -3 + -1*-6*((sqrt(832)*-2 + sqrt(832) + -4)**2 + 5).
384*sqrt(13) + 5115
Simplify -1 + ((sqrt(162) + 1)**2 - (sqrt(128)*-2)**2) + -3.
-353 + 18*sqrt(2)
Simplify (sqrt(22) + sqrt(22) + (sqrt(88) - -2*sqrt(88)) + sqrt(22))/(sqrt(16)/(sqrt(8) + sqrt(40)/sqrt(5))).
18*sqrt(11)
Simplify (sqrt(12)/(sqrt(24)/sqrt(4)) - (sqrt(2) + sqrt(4)/(sqrt(10)/sqrt(5))) - sqrt(216)/(sqrt(48)/sqrt(4))) + 3.
-4*sqrt(2) + 3
Simplify (sqrt(72)*1*4)/(sqrt(36)*1) + 4.
4 + 4*sqrt(2)
Simplify (sqrt(90)/sqrt(5))**2*-3 + ((sqrt(242) + 1 + sqrt(242))*-3)**2.
396*sqrt(2) + 8667
Simplify -5*((sqrt(1331) + 2)*4 - sqrt(1331)) - 3*(sqrt(1331) + 1 + -4).
-198*sqrt(11) - 31
Simplify -4 + sqrt(209)/(1*sqrt(11)) + ((-1 + sqrt(76))*5)**2.
-99*sqrt(19) + 1921
Simplify (sqrt(1008) + -2)*-1 - sqrt(1008) - ((2*sqrt(21))/sqrt(3) + 4 + sqrt(7) + sqrt(7) + 2).
-28*sqrt(7) - 4
Simplify 1 + ((0 + sqrt(1300))*1 + sqrt(1300) - sqrt(1300) - sqrt(1300) - sqrt(1300) - (0 + sqrt(1300) + 2))**2.
80*sqrt(13) + 5205
Simplify -4*-5*((sqrt(72) - (sqrt(72) - 1*sqrt(72)))*5)/(sqrt(36)*-6).
-50*sqrt(2)/3
Simplify (sqrt(209)*-1*4*2)/(sqrt(77)/(2*sqrt(7)*5 - sqrt(7))) + 5.
-72*sqrt(19) + 5
Simplify -6*sqrt(7)*2 + sqrt(42)/(sqrt(6) + sqrt(150)) + -3 + (sqrt(7) + 2)*3.
-53*sqrt(7)/6 + 3
Simplify -4 + (-6*(-5 + sqrt(1900) + 1) + 3 + sqrt(1900)*2 + sqrt(1900) + -5)**2.
-1320*sqrt(19) + 17580
Simplify (sqrt(228) + 6*(sqrt(228) + 1*sqrt(228)) + (sqrt(228) + sqrt(228) + 1*sqrt(228) + sqrt(228))*5)/((sqrt(12) + 2*sqrt(300) + sqrt(300))*-4).
-33*sqrt(19)/64
Simplify (sqrt(280)/sqrt(32)*2)/(1*sqrt(5)*6 - sqrt(40)/(sqrt(24)/sqrt(3))).
sqrt(7)/5
Simplify -2*sqrt(48) + 4*-1*sqrt(3) + sqrt(3)*1 + 1 + sqrt(84)/sqrt(7).
-9*sqrt(3) + 1
Simplify (0 + (sqrt(63) - sqrt(567)*-2 - sqrt(63))/(-6*sqrt(9)*2)*-6 + 4)**2.
24*sqrt(7) + 79
Simplify (sqrt(190)/sqrt(125))/(sqrt(14)/(sqrt(21)/sqrt(3) + sqrt(7) - sqrt(7))).
sqrt(19)/5
Simplify (-4*-6*4*(sqrt(1900) - (sqrt(1900) + sqrt(1900) + -2)))**2*2.
-737280*sqrt(19) + 35094528
Simplify ((1*sqrt(17))**2*4 - sqrt(2448)*-2) + (3*sqrt(153)*-2)**2 + 5.
24*sqrt(17) + 5581
Simplify 3*(-5*(sqrt(91) - sqrt(91)*-1)*1)/(sqrt(21)/(2*sqrt(12))).
-120*sqrt(13)
Simplify ((sqrt(156) + (sqrt(156) - (sqrt(156) + (1*sqrt(156)*2 - sqrt(156)) - sqrt(156))))/sqrt(12)*-2)**2 + -4.
48
Simplify ((sqrt(30) - sqrt(1470)*4) + sqrt(30))/(sqrt(1210)*-2 + sqrt(1210)).
26*sqrt(3)/11
Simplify (sqrt(121)*-2*4 + 5*-2*sqrt(121))/(-4*(2*sqrt(77) - sqrt(77))/sqrt(7)).
9*sqrt(11)/2
Simplify 4*-4*-1*sqrt(7) + (sqrt(847)*2 + 4 - sqrt(847)).
4 + 27*sqrt(7)
Simplify (-1 + sqrt(468)*2 + -1 + -2 + -1)**2.
-120*sqrt(13) + 1897
Simplify 2 + ((sqrt(1900) + 0 + -4)**2*6 - (2 + sqrt(1900) + -1 - (-5 + -2*sqrt(1900)))**2).
-5638 - 840*sqrt(19)
Simplify sqrt(1100) + (sqrt(1100) + -1 + 2 - sqrt(1100)) - (sqrt(66)/sqrt(6)*-2 + sqrt(11) + -3).
4 + 11*sqrt(11)
Simplify (4*(sqrt(1573) + sqrt(1573) + (sqrt(1573)*1 - sqrt(1573))) - (1*sqrt(1573) + -5)) + -4 + (0 + sqrt(1573))**2 + 5*sqrt(1573)*1.
132*sqrt(13) + 1574
Simplify ((sqrt(192)*-1*-5 - sqrt(192))/sqrt(8))/(6*sqrt(384)/sqrt(3)).
sqrt(3)/6
Simplify (sqrt(1300) - (sqrt(1300) + -1))*-6 - ((sqrt(104)/(sqrt(80)/sqrt(10)))**2 + sqrt(13))*-1.
sqrt(13) + 7
Simplify (sqrt(1216)*2 + -2 + 5)**2*-3.
-14619 - 288*sqrt(19)
Simplify -3 + 1*(-2 + sqrt(15)/sqrt(3) - sqrt(5))*-4.
5
Simplify (((sqrt(76) - (1 + sqrt(76) + sqrt(76)))*-3 + sqrt(76) - 1*sqrt(76)*-1) + ((sqrt(76) + 1)*5 - sqrt(76) - -6*sqrt(76)*-2))**2.
-96*sqrt(19) + 748
Simplify (6*sqrt(136)*-1)/(sqrt(512)*-3).
sqrt(17)/4
Simplify (-2*sqrt(33)*5)/(-1*sqrt(176) - sqrt(11)) + 5*((0 + sqrt(3))*4 + -2*sqrt(6)/sqrt(2)).
12*sqrt(3)
Simplify (-3 + ((-1*sqrt(200))**2 - sqrt(8)/sqrt(100)))*-5.
-985 + sqrt(2)
Simplify (0 + (sqrt(242) + -2 - (sqrt(2) + sqrt(100)/sqrt(2))))*-4.
-20*sqrt(2) + 8
Simplify 3*(4 + (sqrt(57)/(sqrt(3) + sqrt(12)) - (sqrt(19) + sqrt(38)/(sqrt(2) - sqrt(2)*-2))**2) + -5 + 1 + 0 + sqrt(19)).
-304/3 + 4*sqrt(19)
Simplify (sqrt(1210) + 2*2*sqrt(1210))/((sqrt(180)*-2 + sqrt(180) - sqrt(180)) + sqrt(180) - sqrt(15)/sqrt(3)*1).
-55*sqrt(2)/7
Simplify 4 + sqrt(208) + (1 + sqrt(325) + sqrt(325))**2 + sqrt(1872)*1 + 3.
36*sqrt(13) + 1308
Simplify ((2 + sqrt(425)*-1 + sqrt(425))*-5 + -1 + sqrt(425) + 6*-2*sqrt(425))**2.
1210*sqrt(17) + 5
|
{
"pile_set_name": "DM Mathematics"
}
|
9, -1, 5?
-1
What is the closest to 0 in 747, -4, 1?
1
Which is the nearest to 2/13? (a) 5 (b) -1 (c) -3/5 (d) 2/17
d
Which is the nearest to 0? (a) 1.9 (b) 0.4 (c) -0.04
c
What is the nearest to -122 in 3, -1, -4, 4?
-4
What is the nearest to 1/2 in 0, -829, 3?
0
Which is the closest to -1? (a) 1 (b) 4 (c) -155 (d) 0
d
What is the closest to 0.1 in -1/5, -0.29, 1, 1/7?
1/7
Which is the closest to 1? (a) -5/9 (b) -0.2 (c) 0
c
Which is the nearest to -1? (a) -4 (b) -0.3 (c) 2/33
b
Which is the closest to 14/3? (a) -4 (b) -46/5 (c) 5
c
Which is the nearest to 2? (a) -0.4 (b) -0.5 (c) 0.15
c
What is the nearest to -1 in 1, 0.4, -4/5, -4?
-4/5
Which is the closest to 1? (a) 0 (b) -4 (c) 0.1 (d) 103
c
What is the closest to -2/9 in -11.9, 2/15, 0.4?
2/15
Which is the nearest to 1/3? (a) -0.5 (b) -2/13 (c) 0.9 (d) 0.4
d
What is the nearest to -1 in 111, -3, 0.1?
0.1
What is the closest to -1 in 1, 1.5, 2/11, 0.3?
2/11
What is the closest to -6/17 in -0.1, -1/6, 4, -0.09?
-1/6
Which is the nearest to 1? (a) 2.2 (b) -2/17 (c) 14
b
Which is the nearest to -1? (a) -1 (b) -4 (c) -46
a
Which is the nearest to -2/5? (a) -2/11 (b) 41 (c) -0.2 (d) 6/29
c
Which is the closest to -0.2? (a) -9 (b) -1/7 (c) 1 (d) 1/4
b
Which is the nearest to -1? (a) -1 (b) -5 (c) -4
a
What is the closest to 1 in -2/3, 3, -5/3?
-2/3
What is the nearest to 2/5 in 1/2, 1/6, -1.2?
1/2
What is the closest to 2/3 in -1.4, -3, 5?
-1.4
Which is the closest to -1? (a) 4 (b) 203 (c) 2
c
Which is the nearest to 0.1? (a) 1/7 (b) -4 (c) -3
a
What is the nearest to -0.03 in 3, -8, -0.1?
-0.1
Which is the nearest to -0.3? (a) -0.8 (b) 0 (c) 1/7 (d) -3/7
d
What is the closest to 2 in 2/5, -1.2, -1?
2/5
Which is the closest to 154? (a) -1/7 (b) 1 (c) -4
b
Which is the closest to -1/4? (a) -4 (b) -11 (c) 0.4 (d) 1.1
c
Which is the closest to 0? (a) -7 (b) 0.4 (c) 0.1
c
What is the nearest to 1 in -0.03, -1/14, 1/8?
1/8
Which is the closest to 5/6? (a) -0.5 (b) -1 (c) 1/10
c
Which is the closest to 0.3? (a) 3 (b) -2/15 (c) 2/9
c
Which is the closest to -0.2? (a) -29.5 (b) 0 (c) -0.5
b
What is the nearest to 0 in -3, 3/11, 4/9, 2?
3/11
Which is the nearest to 1/4? (a) -5/3 (b) -1/4 (c) 3 (d) -1/3
b
What is the closest to 3 in -0.4, 0.3, 0.2, -11?
0.3
What is the nearest to 0 in -1/224, -1, 5?
-1/224
What is the nearest to 0 in -0.1, -0.5, 0, 0.22?
0
What is the closest to 2/3 in -2/5, 0.3, -1/74, 4?
0.3
Which is the closest to 0? (a) 0 (b) -5/4 (c) -26/5 (d) -0.2
a
Which is the nearest to 0? (a) 0.1 (b) 32 (c) -4
a
Which is the nearest to 5? (a) 0 (b) 12 (c) -3/5
a
What is the nearest to 0.2 in -2, 8/9, -4?
8/9
What is the closest to -1/20 in 3, -0.5, -1/6?
-1/6
Which is the closest to 6/17? (a) -1/4 (b) 1 (c) -1/10 (d) 5
c
What is the nearest to -2 in -0.2, 5.2, -1?
-1
Which is the nearest to 2/7? (a) -3 (b) -1/4 (c) 3/7
c
What is the nearest to -5/8 in -2, 3/8, 0, -0.1?
-0.1
Which is the closest to -2? (a) -1/2 (b) 1 (c) 24 (d) -1/7
a
What is the nearest to 0.09 in 6, -27, 5, 0.1?
0.1
What is the closest to -24/5 in 2/11, 1, -2/7?
-2/7
Which is the nearest to -55? (a) -1/7 (b) -2/5 (c) 3
b
What is the nearest to -0.4 in 1, -184, -4?
1
Which is the closest to -4/9? (a) -1/5 (b) 1/3 (c) 5
a
Which is the closest to 1? (a) 2 (b) 4 (c) -0.4 (d) 1
d
What is the nearest to 14 in 0.02, 0, 3, 5?
5
Which is the nearest to 2/3? (a) 4 (b) 1/2 (c) -20
b
Which is the closest to -1.2? (a) -2/7 (b) -3 (c) 3 (d) 2/15
a
What is the closest to -1/4 in 4/9, 2, -5?
4/9
Which is the closest to 12? (a) -7 (b) -2/3 (c) 0.2
c
What is the closest to 2 in -0.0526, -3, -1?
-0.0526
What is the nearest to 2/23 in 1, -1, -0.5, 2/15?
2/15
What is the nearest to 0.024 in 0, 0.5, 3/4?
0
Which is the nearest to 2? (a) 0.1 (b) -0.33 (c) 4 (d) 1
d
Which is the closest to 0.1? (a) 1 (b) -4/33 (c) 3 (d) -4
b
What is the nearest to 2/9 in 1/11, -0.2, 1/7, 2/23?
1/7
Which is the closest to 11/4? (a) -0.58 (b) 3 (c) 2/5
b
What is the nearest to -2/19 in -9, 0.2, -0.2, -2/11?
-2/11
Which is the nearest to 0? (a) -0.04 (b) -0.1 (c) 1/5 (d) 0.4
a
Which is the nearest to 1? (a) -0.4 (b) -1 (c) 0.4 (d) -4.92
c
Which is the nearest to 2? (a) 0 (b) -6/5 (c) -5
a
What is the nearest to 4 in -3/2, 1/4, -4?
1/4
Which is the nearest to 2/9? (a) 63 (b) -1 (c) -4
b
Which is the nearest to 2/51? (a) -0.04 (b) 1/4 (c) -1 (d) -1/5
a
Which is the closest to 2? (a) 9 (b) 0.3 (c) 1
c
Which is the nearest to 2? (a) 22 (b) -2/11 (c) -0.3 (d) -0.4
b
What is the closest to 0.14 in -2, -1, -3, 0.2?
0.2
What is the nearest to -2/67 in 1/2, -2/9, 3?
-2/9
Which is the closest to -40? (a) -1 (b) -4/5 (c) 4 (d) 6/11
a
Which is the nearest to -3? (a) 2/7 (b) -30.3 (c) 0.03
c
What is the closest to 2/9 in -65, 3, 0.3, -5?
0.3
Which is the closest to 5? (a) -2/3 (b) 3 (c) -0.07 (d) -2
b
Which is the nearest to -2? (a) -1/4 (b) -12 (c) -6
a
What is the closest to 2 in 0.16, -3, 1/4?
1/4
What is the closest to 1 in -5, -1/3, -0.2, -49?
-0.2
What is the nearest to 4 in -1, -5, 1/7?
1/7
Which is the closest to 0.92? (a) -5 (b) -0.3 (c) 0.4 (d) 5
c
What is the nearest to -2 in 0, 0.1, -4/3, 2/3?
-4/3
Which is the nearest to 0? (a) -206 (b) 16 (c) 2/17
c
Which is the closest to -0.1? (a) -3/8 (b) -8517 (c) 0
c
Which is the nearest to 4/3? (a) 0.5 (b) 4 (c) -2
a
What is the nearest to 0 in -0.1, -2, 35, 4?
-0.1
What is the nearest to 0.1 in -14, -90, 3, 0.2?
0.2
What is the closest to 2/5 in -4, -0.1, 2, -2?
-0.1
What is the nearest to 0 in -4, -1/7, 0.15?
-1/7
Which is the closest to -149? (a) 5 (b) -12 (c) 0.3
b
What is the nearest to 1 in 0, 1.5, -1/6?
1.5
What is the nearest to -7 in -2/5, 0.2, 17/4, -0.3?
-2/5
Which is the closest to 2? (a) 0.03 (b) -0.1 (c) 0.2 (d) 0
c
Which is the nearest to -0.1? (a) -60 (b) 3/5 (c) -11
b
What is the nearest to -1.044 in -0.5, -0.1, 0?
-0.5
Which is the nearest to -1/3? (a) 4 (b) -10/3 (c) -2/7 (d) -4/5
c
Which is the closest to 1/5? (a) 7 (b) 1 (c) -4
b
Which is the closest to -1/2? (a) -2/9 (b) 1.52 (c) 4/7
a
Which is the closest to 12? (a) -0.3 (b) -0.4 (c) 2 (d) -2/3
c
Which is the closest to -2? (a) 2/7 (b) 1 (c) 4 (d) 3
a
What is the closest to -1 in -1/3, -0.4, 0.4, -1?
-1
What is the nearest to -2 in 3, 2/5, 4?
2/5
What is the nearest to -0.2 in -0.12, 0.5, -3?
-0.12
Which is the nearest to 0.1? (a) -2/17 (b) -3/5 (c) 0.7
a
What is the closest to 1/3 in 0, -1, -235?
0
What is the closest to -1 in 3/28, -1/2, 5?
-1/2
Which is the closest to 1? (a) 6 (b) 0.4 (c) -2/11
b
Which is the closest to -0.6? (a) 2/5 (b) -2/7 (c) 1
b
Which is the nearest to 3? (a) -1/5 (b) -2/11 (c) -10
b
Which is the closest to -1? (a) 0.06 (b) 1/3 (c) 2/5
a
Which is the closest to 0.2? (a) -2 (b) 49 (c) -2/11
c
Which is the nearest to -2? (a) 0.4 (b) -3 (c) -0.3 (d) 28
b
What is the closest to 0 in 2, 3/7, -1, -47?
3/7
What is the nearest to 0 in 5, 2, 2/7, -3/4?
2/7
Which is the closest to 0.1? (a) 0.11 (b) 4 (c) 96
a
What is the nearest to 0.1 in -1/8, -6, -0.04?
-0.04
What is the closest to -2 in 2, 5, 5/3?
5/3
What is the closest to 1 in -1, 0.1, 6, -5?
0.1
Which is the nearest to 0? (a) -1/7 (b) 5 (c) 1/3 (d) 0.1
d
Which is the closest to -0.1? (a) 54/7 (b) -0.1 (c) -4 (d) 0.3
b
Which is the closest to -2/15? (a) 2 (b) -11 (c) -0.5
c
What is the nearest to -1 in -0.4, 2, -0.3?
-0.4
Which is the nearest to -2/11? (a) -4 (b) -7 (c) -1/2 (d) -0.2
d
What is the closest to 22 in -0.2, 1, 3, -3?
3
Which is the nearest to 3? (a) 2 (b) -2/9 (c) 0.5
a
Which is the nearest to 2360? (a) 2 (b) -0.4 (c) 0.5
a
Which is the nearest to 1? (a) 1054 (b) 1 (c) -3/5
b
What is the closest to 1/2 in 13, 0, -3/2, 2/31?
2/31
Which is the closest to 0.1? (a) -2/9 (b) 4 (c) -0.12
c
What is the nearest to -1 in 3, 25, -0.2, 0.3?
-0.2
Which is the nearest to -2/5? (a) -23 (b) 54 (c) 4 (d) -0.1
d
Which is the closest to 4? (a) 2/3 (b) 4 (c) 0.3 (d) -0.3
b
What is the nearest to -3 in -0.1, 2/15, -3, -1/2?
-3
Which is the nearest to 1? (a) 6 (b) -4.8 (c) -0.03
c
What is the nearest to 6 in -8, -0.5, -
|
{
"pile_set_name": "DM Mathematics"
}
|
- 26*b**2 - 3*b + 17
What is the i'th term of -91, -338, -751, -1330?
-83*i**2 + 2*i - 10
What is the y'th term of -27, -33, -43, -57, -75?
-2*y**2 - 25
What is the q'th term of 1885, 1880, 1875?
-5*q + 1890
What is the b'th term of -18, -47, -88, -141, -206?
-6*b**2 - 11*b - 1
What is the s'th term of 454, 456, 458?
2*s + 452
What is the l'th term of -51, -168, -393, -780, -1383?
-9*l**3 - 54*l + 12
What is the t'th term of -13, -36, -61, -88, -117, -148?
-t**2 - 20*t + 8
What is the j'th term of 180, 142, 86, 18, -56, -130, -198?
j**3 - 15*j**2 + 194
What is the j'th term of -476, -488, -502, -518, -536?
-j**2 - 9*j - 466
What is the t'th term of 1854, 1859, 1868, 1881?
2*t**2 - t + 1853
What is the x'th term of 1577, 1578, 1579?
x + 1576
What is the z'th term of 84, 123, 222, 411, 720?
5*z**3 + 4*z + 75
What is the w'th term of -6, -44, -132, -294, -554?
-4*w**3 - w**2 - 7*w + 6
What is the c'th term of -13, -27, -39, -49, -57?
c**2 - 17*c + 3
What is the t'th term of -3019, -3013, -3007?
6*t - 3025
What is the t'th term of -2082, -2083, -2084, -2085?
-t - 2081
What is the q'th term of 523, 524, 525, 526?
q + 522
What is the s'th term of -738, -740, -742, -744, -746?
-2*s - 736
What is the a'th term of 78, 82, 90, 102, 118, 138?
2*a**2 - 2*a + 78
What is the l'th term of -629, -630, -631, -632?
-l - 628
What is the o'th term of 91, 124, 191, 310, 499, 776, 1159?
3*o**3 - o**2 + 15*o + 74
What is the w'th term of -607, -605, -603, -601, -599?
2*w - 609
What is the x'th term of -75, -86, -95, -96, -83?
x**3 - 5*x**2 - 3*x - 68
What is the j'th term of -505, -488, -457, -406, -329, -220?
j**3 + j**2 + 7*j - 514
What is the n'th term of 18, 4, -12, -30, -50, -72, -96?
-n**2 - 11*n + 30
What is the b'th term of -3298, -6588, -9878, -13168, -16458?
-3290*b - 8
What is the s'th term of 595, 594, 593, 592, 591, 590?
-s + 596
What is the p'th term of 747, 754, 775, 816, 883, 982?
p**3 + p**2 - 3*p + 748
What is the h'th term of 481, 494, 519, 562, 629?
h**3 + 6*h + 474
What is the x'th term of 113, 229, 345, 461?
116*x - 3
What is the q'th term of -641, -636, -629, -620, -609, -596, -581?
q**2 + 2*q - 644
What is the j'th term of 15, 31, 47?
16*j - 1
What is the i'th term of -24, -49, -52, -21, 56, 191?
2*i**3 - i**2 - 36*i + 11
What is the h'th term of 20, 93, 214, 383, 600, 865?
24*h**2 + h - 5
What is the k'th term of 132, 118, 106, 96, 88?
k**2 - 17*k + 148
What is the x'th term of 30, 68, 126, 204, 302, 420?
10*x**2 + 8*x + 12
What is the i'th term of 17, 2, -23, -64, -127?
-i**3 + i**2 - 11*i + 28
What is the l'th term of 181, 360, 539, 718?
179*l + 2
What is the m'th term of 150, 144, 134, 120, 102?
-2*m**2 + 152
What is the x'th term of -60, -53, -60, -87, -140, -225, -348?
-x**3 - x**2 + 17*x - 75
What is the o'th term of 697, 696, 693, 688, 681?
-o**2 + 2*o + 696
What is the i'th term of 8, 15, 0, -49, -144?
-2*i**3 + i**2 + 18*i - 9
What is the i'th term of -3, -5, -7?
-2*i - 1
What is the t'th term of -46, -161, -338, -565, -830, -1121?
2*t**3 - 43*t**2 - 5
What is the c'th term of 310, 621, 932, 1243, 1554, 1865?
311*c - 1
What is the h'th term of -28, -17, -4, 11, 28, 47?
h**2 + 8*h - 37
What is the y'th term of 103, 90, 65, 22, -45, -142?
-y**3 - 6*y + 110
What is the m'th term of 2224, 2225, 2226?
m + 2223
What is the f'th term of 109, 114, 131, 166, 225, 314?
f**3 - 2*f + 110
What is the h'th term of 48, 95, 142, 189?
47*h + 1
What is the x'th term of -45, -90, -135, -180, -225?
-45*x
What is the n'th term of -9, -6, 15, 60, 135, 246, 399?
n**3 + 3*n**2 - 13*n
What is the w'th term of 9, 11, 7, -9, -43, -101, -189?
-w**3 + 3*w**2 + 7
What is the t'th term of -881, -876, -859, -824, -765?
t**3 - 2*t - 880
What is the s'th term of -198, -187, -174, -159?
s**2 + 8*s - 207
What is the v'th term of 90, 174, 302, 468, 666?
-v**3 + 28*v**2 + 7*v + 56
What is the p'th term of 3166, 3177, 3188, 3199, 3210, 3221?
11*p + 3155
What is the y'th term of -823, -822, -821, -820?
y - 824
What is the s'th term of 3, 27, 73, 147, 255, 403?
s**3 + 5*s**2 + 2*s - 5
What is the r'th term of 1178, 4705, 10584, 18815?
1176*r**2 - r + 3
What is the d'th term of -305, -568, -833, -1100, -1369, -1640, -1913?
-d**2 - 260*d - 44
What is the v'th term of -6448, -6449, -6450, -6451?
-v - 6447
What is the t'th term of -12, -7, 6, 33, 80, 153, 258, 401?
t**3 - 2*t**2 + 4*t - 15
What is the c'th term of -307, -300, -297, -304, -327, -372, -445?
-c**3 + 4*c**2 + 2*c - 312
What is the s'th term of 259, 512, 765, 1018, 1271?
253*s + 6
What is the t'th term of -87, -154, -223, -294, -367, -442, -519?
-t**2 - 64*t - 22
What is the g'th term of 189, 180, 151, 90, -15, -176, -405?
-2*g**3 + 2*g**2 - g + 190
What is the k'th term of 462, 472, 496, 540, 610, 712?
k**3 + k**2 + 460
What is the g'th term of 218, 214, 210?
-4*g + 222
What is the q'th term of -50, -81, -114, -149, -186, -225?
-q**2 - 28*q - 21
What is the j'th term of -639, -2565, -5775, -10269, -16047, -23109?
-642*j**2 + 3
What is the f'th term of 453, 1804, 4055, 7206, 11257, 16208, 22059?
450*f**2 + f + 2
What is the k'th term of 446, 895, 1344, 1793, 2242?
449*k - 3
What is the c'th term of 170, 186, 202, 218?
16*c + 154
What is the l'th term of -5664, -11329, -16994, -22659?
-5665*l + 1
What is the m'th term of 162, 322, 482?
160*m + 2
What is the z'th term of 554, 550, 544, 536?
-z**2 - z + 556
What is the j'th term of -53, -103, -157, -209, -253, -283, -293, -277?
j**3 - 8*j**2 - 33*j - 13
What is the r'th term of 3, -43, -115, -225, -385, -607, -903?
-2*r**3 - r**2 - 29*r + 35
What is the r'th term of 667, 2687, 6047, 10741, 16763?
-r**3 + 676*r**2 - r - 7
What is the g'th term of -57, -54, -51, -48, -45, -42?
3*g - 60
What is the g'th term of 20, 47, 90, 149, 224, 315?
8*g**2 + 3*g + 9
What is the y'th term of 46, 100, 152, 202, 250, 296, 340?
-y**2 + 57*y - 10
What is the l'th term of 39, 45, 51, 57?
6*l + 33
What is the p'th term of -333, -326, -317, -306, -293?
p**2 + 4*p - 338
What is the s'th term of 15639, 15640, 15641, 15642?
s + 15638
What is the f'th term of 0, 5, 14, 27, 44?
2*f**2 - f - 1
What is the n'th term of 199, 401, 603, 805, 1007?
202*n - 3
What is the k'th term of 1291, 1292, 1293, 1294, 1295, 1296?
k + 1290
What is the t'th term of 14, 29, 56, 101, 170?
t**3 + 8*t + 5
What is the g'th term of -70, -102, -150, -208, -270, -330?
g**3 - 14*g**2 + 3*g - 60
What is the s'th term of 15458, 15457, 15456, 15455?
-s + 15459
What is the f'th term of -71, -43, -1, 49, 101, 149?
-f**3 + 13*f**2 - 4*f - 79
What is the t'th term of 57, 98, 133, 162, 185, 202?
-3*t**2 + 50*t + 10
What is the c'th term of -17, -12, -3, 10, 27, 48, 73?
2*c**2 - c - 18
What is the r'th term of 24, 22, 18, 12, 4, -6?
-r**2 + r + 24
What is the g'th term of -31, -203, -665, -1561, -3035, -5231?
-24*g**3 - g**2 - g - 5
What is the t'th term of -7, 21, 95, 239, 477, 833, 1331, 1995?
4*t**3 - t**2 + 3*t - 13
What is the s'th term of -34, -67, -100?
-33*s - 1
What is the x'th term of 57, 113, 165, 213, 257?
-2*x**2 + 62*x - 3
What is the x'th term of -130, -144, -172, -220, -294, -400, -544?
-x**3 - x**2 - 4*x - 124
What is the s'th term of 226, 210, 182, 142, 90, 26?
-6*s**2 + 2*s + 230
What is the n'th term of 2311, 2313, 2315, 2317?
2*n + 2309
What is the r'th term of -11653, -11655, -11657?
-2*r - 11651
What is the d'th term of -85, -172, -259, -346, -433, -520?
-87*d + 2
What is the j'th term of -103, -130, -167, -208, -247?
j**3 - 11*j**2 - j - 92
What is the a'th term of -72, -146, -220, -294, -368, -442?
-74*a + 2
What is the o'th term of -6, -7, -14, -27, -46, -71?
-3*o**2 + 8*o - 11
What is the o'th term of 14741, 14740, 14731, 14708, 14665, 14596, 14495, 14356?
-o**3 + 2*o**2 + 14740
What is the s'th term of 52, 102, 152, 202, 252, 302?
50*s + 2
What is the w'th term of -8422, -8423, -8424, -8425, -8426, -8427?
-w - 8421
What is the u'th term of -4434, -4435, -4438, -4443, -4450?
-u**2 + 2*u - 4435
What is the i'th term of -33, -67, -101, -135?
-34*i + 1
What is the z'th term of -121, -230, -331, -418, -485, -526, -535?
z**3 - 2*z**2 - 110*z - 10
What is the q'th term of 28, 33, 48, 79, 132, 213, 328?
q**3 - q**2 + q + 27
What is the n'th term of -130, -128, -126?
2*n - 132
What is the n'th term of 41, 84,
|
{
"pile_set_name": "DM Mathematics"
}
|
/9 + 4/(-12). Suppose 0 = 9*w - c - 16. Factor w*f - 2/3 - 2*f**2 + 2/3*f**3.
2*(f - 1)**3/3
Let x(a) be the second derivative of a**4/36 + a**3/9 + a**2/6 - 8*a. Factor x(q).
(q + 1)**2/3
Let o be (1 + 1/(-2))*1. Factor -1/2*m**2 + 1/2*m**4 + 0*m + o*m**3 - 1/2*m**5 + 0.
-m**2*(m - 1)**2*(m + 1)/2
Let z(l) be the second derivative of l**4/21 + 2*l**3/7 + 4*l**2/7 - 9*l. Factor z(p).
4*(p + 1)*(p + 2)/7
Let w be -2 + (1 - -2) - -1. Suppose 0 = 2*j - 0*j - 2*a, 0 = 2*j - 3*a + w. Factor 4*t**3 + 2*t - j*t**4 - 2*t + 2*t + 2*t**3 - 6*t**2.
-2*t*(t - 1)**3
Let i(r) = -r**4 + r**3 + r**2 + r - 1. Let d(z) = -4 + 20*z**3 + 4*z**4 + 16*z + 6*z**3 + 26*z**2 + 2*z**5 + 0*z**5. Let a(f) = -d(f) + 6*i(f). Factor a(k).
-2*(k + 1)**5
Let n(g) be the first derivative of -1/2*g**4 - 3 + 1/3*g**3 + 0*g**2 + 0*g + 1/5*g**5. Suppose n(h) = 0. What is h?
0, 1
Let a(s) be the first derivative of -s**4 + 20*s**3/3 - 8*s**2 - 7. Find v, given that a(v) = 0.
0, 1, 4
Let o(c) = -2*c**3 - c**2 + c - 1. Let r be o(1). Let d be (-99)/(-15) + (r - 0). Determine j, given that -16/5*j - 8/5 + d*j**3 + 6/5*j**2 = 0.
-2/3, 1
Let r = -8 + 13. Let 2*s**3 - 2*s + 0*s**3 - 2*s**r + 2*s**3 = 0. What is s?
-1, 0, 1
Let h(l) be the third derivative of l**6/180 + l**5/45 + l**4/36 + 9*l**2. Let h(o) = 0. Calculate o.
-1, 0
Let o(u) = -u**3 - u**2 - u + 1. Let r be o(1). Let l = 0 - r. Find c, given that c**5 + c - 1 + 2*c**l + c**4 + 5*c**3 + 0*c**4 - 7*c**3 - 2*c**4 = 0.
-1, 1
Suppose 4*r + n = 12, 2*n + 0*n = -r + 3. Let -3*q**3 - q**r - 132*q**2 + 120*q**2 = 0. What is q?
-3, 0
Suppose -i + 2 = i. Let t(x) = 4*x**3 - x + 1. Let z be t(i). Factor -25*o - z*o**3 + 25*o + 6*o**2 - 2.
-2*(o - 1)**2*(2*o + 1)
Let j(p) be the second derivative of -p**9/3780 + p**7/315 - p**5/30 - 7*p**4/12 - p. Let t(o) be the third derivative of j(o). Factor t(n).
-4*(n - 1)**2*(n + 1)**2
Let h(s) be the second derivative of 2*s - 1/11*s**2 - 1/110*s**5 - 1/22*s**4 - 1/11*s**3 + 0. Suppose h(v) = 0. Calculate v.
-1
Suppose -2*w = -w. Let g = 3 + w. Factor -2*l - l**2 + 3*l + g*l - 3*l.
-l*(l - 1)
Suppose 2*i - 4*p + 16 = 0, 5*i = -4*p + 9*p - 15. Find s, given that 1/4*s**3 - 1/4*s**i - 1/4*s + 1/4 = 0.
-1, 1
Let i(p) be the second derivative of -p**5/40 + p**4/8 - p**2 + 7*p. Solve i(z) = 0.
-1, 2
Let m(h) = 260*h**4 + 125*h**3 - 35. Let w(v) = 29*v**4 + 14*v**3 - 4. Let j(l) = -4*m(l) + 35*w(l). Suppose j(u) = 0. Calculate u.
-2/5, 0
Let a = -481 + 481. Suppose a + 2/5*k + 4/5*k**2 + 2/5*k**3 = 0. What is k?
-1, 0
Find k, given that -33*k + 6*k**4 + k**5 + 3*k**4 - 3*k**5 + k**5 + 46*k**2 + 9 - 30*k**3 = 0.
1, 3
Let g(l) be the second derivative of -l**9/30240 + l**8/5376 - l**7/2520 + l**6/2880 + l**4/4 + l. Let d(i) be the third derivative of g(i). Factor d(o).
-o*(o - 1)**2*(2*o - 1)/4
Let d(b) be the third derivative of -b**6/480 + b**5/120 + 9*b**2. Factor d(n).
-n**2*(n - 2)/4
Suppose -i = i - 24. Suppose 0 = -4*w - z + i, 5*w + 5*z - 38 = -8. Determine s so that -4*s**4 - 6*s**3 - s + 0*s**2 - s**5 - 4*s**w + 0*s**4 = 0.
-1, 0
Factor -20/7*u**2 + 4/7*u**5 - 8/7*u + 4/7*u**4 + 0 - 12/7*u**3.
4*u*(u - 2)*(u + 1)**3/7
Let g = -6/35 + 47/70. Suppose 1/4*d**4 + 0 + 1/4*d**2 + 0*d - g*d**3 = 0. Calculate d.
0, 1
Let o = -29/56 - -9/14. Solve 0 - 1/8*k**2 - o*k = 0 for k.
-1, 0
Let f(j) be the second derivative of -1/15*j**5 + 5/18*j**4 + 1/3*j**2 + 0 - 2/15*j**6 - 3*j - 5/126*j**7 + 1/2*j**3. What is s in f(s) = 0?
-1, -2/5, 1
Let q = 23/28 + -4/7. Let n(a) be the first derivative of -3/4*a**2 - 3/4*a + 1 - q*a**3. What is p in n(p) = 0?
-1
Let g(c) be the third derivative of -c**6/360 - c**5/90 - 6*c**2. Factor g(i).
-i**2*(i + 2)/3
Factor 28/3*g - 2/3*g**2 - 98/3.
-2*(g - 7)**2/3
Suppose -5*r = -2*o + 10, o + 1 = -3*r + 6. Factor 21*l**2 + 27*l**3 + 0*l**5 + 6*l + r*l + 3*l**5 + 15*l**4.
3*l*(l + 1)**3*(l + 2)
Let q(d) be the third derivative of -d**7/210 - 7*d**6/360 - d**5/36 - d**4/72 - d**2. Solve q(s) = 0.
-1, -1/3, 0
Let l(s) = -5*s**3 - 5*s**2 - 2*s + 2. Let c(r) = -15*r**3 - 15*r**2 - 7*r + 7. Let h(w) = -2*c(w) + 7*l(w). Factor h(o).
-5*o**2*(o + 1)
Let w(n) be the first derivative of 4*n**5/5 - 4*n**4 + 8*n**3 - 8*n**2 + 4*n + 23. Solve w(o) = 0 for o.
1
Let t be 442/208 + 2/(-16). Factor 4/9*u**4 + 10/9*u + 2/9 + 2*u**t + 14/9*u**3.
2*(u + 1)**3*(2*u + 1)/9
Let o = -109 + 439/4. Suppose -5/4*n**3 + o*n**4 + 1/2*n**2 + 0 + 0*n = 0. What is n?
0, 2/3, 1
Let z = -15 + 28. Suppose 2 = 5*x - z. Factor 0*o + 2/5*o**x + 0 + 2/5*o**5 + 0*o**2 + 4/5*o**4.
2*o**3*(o + 1)**2/5
Let h(z) be the first derivative of 42*z**4 + 51*z**3 - 33*z**2/2 - 18*z + 8. Solve h(s) = 0.
-1, -2/7, 3/8
Let w be (-170)/(-33) + 68/11 + -6. Factor -w*g - 10/3*g**2 - 8/3 - 2/3*g**3.
-2*(g + 1)*(g + 2)**2/3
Suppose -3*x + 11 = -4. Let d = x + -3. Factor t**2 + 8*t**3 + 2*t**5 + 0*t**d - t**2 + 8*t**4.
2*t**3*(t + 2)**2
Let f(a) be the second derivative of -a**6/60 - a**5/40 + a**4/24 + a**3/12 - 6*a. Suppose f(g) = 0. Calculate g.
-1, 0, 1
Let d(m) = 2*m**3 + 2*m**2 - m. Let i be d(1). Suppose -5*b + 7 = -i. Suppose p**b + 6 + 3*p**2 + 3*p + p**2 - 8*p**2 = 0. Calculate p.
-1, 2
Factor -r**3 + 2*r + 8*r**5 - 4*r**4 + 12*r**2 - r**3 + 7*r - 7*r**5.
r*(r - 3)**2*(r + 1)**2
Suppose 0 = -4*f + t - 1, 2*t = t + 1. Let m(i) be the second derivative of -1/60*i**5 + 1/18*i**4 - i - 1/3*i**2 + f + 1/18*i**3. Factor m(n).
-(n - 2)*(n - 1)*(n + 1)/3
Let d(f) be the third derivative of 0*f**4 + 0*f + 0 + 0*f**5 + 0*f**3 + 1/300*f**6 - 2*f**2. Determine q so that d(q) = 0.
0
Let d(w) = 6*w - 1. Let t be d(1). Let j(i) = -3*i - 6. Let z be j(-3). Factor 13 + y**3 - 3*y**4 + y**t - 13 - 2*y + z*y**2.
y*(y - 2)*(y - 1)**2*(y + 1)
Let k be (-14)/(-30) - 13/(-65). Let w(d) be the first derivative of k*d**3 - 1/2*d**2 - 3 - 2*d + 1/4*d**4. Factor w(s).
(s - 1)*(s + 1)*(s + 2)
Factor 0 + 0*b**4 + 1/3*b**3 - 1/6*b - 1/6*b**5 + 0*b**2.
-b*(b - 1)**2*(b + 1)**2/6
Let r(c) = -c**4 - c**2. Let n(b) = 12*b**4 + 7*b**3 + 14*b**2 + b. Let q(v) = 4*n(v) + 36*r(v). Determine w, given that q(w) = 0.
-1, -1/3, 0
Let y be ((-3)/5)/(1/(-5)). Let r(v) be the first derivative of -y - 40/9*v**3 - 4/3*v**2 - 25/6*v**4 + 0*v. Solve r(p) = 0 for p.
-2/5, 0
Let p(k) = -k**3 + k. Let l(c) = 2*c**4 + 12*c**3 + 2*c**2 - 12*c - 4. Let m(x) = l(x) + 6*p(x). What is d in m(d) = 0?
-2, -1, 1
Let j be (-2)/7*-7*1. Suppose 0 = 3*n + 2*y - 12, -n - n + 8 = -j*y. Factor 0*l + 3/2*l**n + 0*l**2 + 0 - 3*l**3.
3*l**3*(l - 2)/2
Let l(v) be the first derivative of v**9/9072 + v**8/2520 - v**7/2520 - v**6/540 - 2*v**3/3 + 6. Let k(w) be the third derivative of l(w). Solve k(g) = 0 for g.
-2, -1, 0, 1
Let u(n) = -23*n**2 + 30*n + 37. Let j(r) = -8*r**2 + 10*r + 12. Let y(z) = -8*j(z) + 3*u(z). Factor y(p).
-5*(p - 3)*(p + 1)
Let w be (-6)/3*((-4)/(-8) - 2). Factor -2/13 + 2/13*o**w - 2/13*o + 2/13*o**2.
2*(o - 1)*(o + 1)**2/13
Suppose 9/2*k**4 + 3 - 25/2*k**3 + 25/2*k - 15/2*k**2 = 0. What is k?
-1, -2/9, 1, 3
Let z(k) be the second derivative of -k**4/4 + k**3 + 9*k**2/2 - 6*k. Find l, given that z(l) = 0.
-1, 3
Factor 6/5 + 3/5*g**3 - 9/5*g + 0*g**2.
3*(g - 1)**2*(g + 2)/5
Let y be 2/(9 + (2 - 3)). Find d, given that 0*d - y*d**5 - 1/4*d**2 + 1/4*d**4 + 1/4*d**3 + 0 = 0.
-1, 0, 1
Let k be 4/(-4)*-3 - 3. Suppose k*b - 2 = -b. Find v such that -1/2*v**5 + 0 + 0*v**4 - 1/2*v + v**3 + 0*v**b = 0.
-1, 0, 1
Let n be 0 + -1 - (2 - 5). Suppose -4*h + 17 - 1 = 0, f = n*h - 5. Factor -4*c**4 + 5/2*c**f + 2*c**5 - 1/2*c**2 + 0 + 0*c.
c**2*(c - 1)*(2*c - 1)**2/2
Let w(b) be the first derivative of b**4/16 - b**3/3 + b**2/2 + 5. Factor w(v).
v*(v - 2)**2/4
Suppose -2*a + a - 3*h = 6, 0 = 4*a + 4*h - 8. Suppose a = r + 3. Factor o**r + 1 + 2*o**3 - o**2 - 4*o**3 + o.
-(o - 1)*(o + 1)**2
Let q(u) = u - 1. Let b(r) = -r**2 - 4*r + 8. Let k(x) = b(x) + 4*q(x). What is z in k(z) = 0?
-2, 2
Let x = 6 - -2. Suppose -3*y = -2*f - x, -y - f + 0 = -6. Factor -t**4 + 4*t**4 - y*t**4 - t**3.
-t**3*(t + 1)
Factor 8/13*k**2 + 0 - 2/13*k**5 + 8/13*k**4 - 12/13*k**3 - 2/13*k.
-2*k*(k - 1)**4/13
Let v be (-21 + 29)*(-2)/8*-1. Let z(x) be the first derivative of -14*x**4 + 4*x + 16/5*x**5 - v + 11*x**3 + 14*x**2. Factor z(t).
(t - 2)**2*(4*t + 1)**2
Let i(w) be the second derivative of 0*w**3 - 1/4*w*
|
{
"pile_set_name": "DM Mathematics"
}
|
7*h**2
Collect the terms in -g**2 + 0 - 1 + 3*g**2 - 22*g - 11.
2*g**2 - 22*g - 12
Collect the terms in -3*w + 2 + 3*w - 319*w**2 + 163*w**2.
-156*w**2 + 2
Collect the terms in -24*v + 3 + 8*v + 7*v + 12*v.
3*v + 3
Collect the terms in -4206*i - 4195*i + 8403*i.
2*i
Collect the terms in 2*v - 5*v - 19912*v**3 + 19828*v**3 + 3*v.
-84*v**3
Collect the terms in 8866*n + 8847*n - 17661*n.
52*n
Collect the terms in -4535*h + 9271*h + 9462*h - 1416*h.
12782*h
Collect the terms in 192864*w**2 - 4*w**3 - 192864*w**2.
-4*w**3
Collect the terms in 111*s - 41*s - 42*s.
28*s
Collect the terms in 4*j**3 - j**2 + 7*j**3 + 8*j**2 - 9*j**2 - j**3.
10*j**3 - 2*j**2
Collect the terms in 137*t + 9 - 9.
137*t
Collect the terms in -67*z**2 - 542494 + 542494.
-67*z**2
Collect the terms in -1546*c - 580*c + 155*c - 963*c.
-2934*c
Collect the terms in 138*o**3 - 113*o**3 - 77*o + 77*o.
25*o**3
Collect the terms in -194*n**3 - 252*n**3 + 123*n**3 - 338*n**3.
-661*n**3
Collect the terms in -1 + 2686187*j - 2686177*j + 1.
10*j
Collect the terms in -178*m**3 - 113*m**3 + 11*m - 2*m**2 + 43*m**3 - 76*m**3.
-324*m**3 - 2*m**2 + 11*m
Collect the terms in 79*k**3 - 31*k**3 - 60*k**3.
-12*k**3
Collect the terms in 4*f**3 + 9446*f - 4723*f - 4723*f + 3*f**2.
4*f**3 + 3*f**2
Collect the terms in -14936*r**2 - 3363*r**2 - 1397*r**2.
-19696*r**2
Collect the terms in -2 - 122418*u + 8 - 6.
-122418*u
Collect the terms in 6 - 4 - 4*x + 2 - 4 + 160*x**3.
160*x**3 - 4*x
Collect the terms in -102739194*q + q**2 + 102739194*q - 3*q**2.
-2*q**2
Collect the terms in 5*j**3 - 3*j**3 - 5*j**3 - 1 + 3 + 17*j**3.
14*j**3 + 2
Collect the terms in 19*l + 21*l + 6*l - 15*l + 3*l.
34*l
Collect the terms in -76*j**3 - 20*j**3 + 170*j**3 - 73*j**3.
j**3
Collect the terms in 52694*w**3 - 4 - 52683*w**3 + 1 + 3.
11*w**3
Collect the terms in -137 - 108 - 29*s**3 + 24*s**3 + 219.
-5*s**3 - 26
Collect the terms in 3*v + 6*v - 113*v**2 - 4*v - 6*v.
-113*v**2 - v
Collect the terms in 3363*n + 162*n - 914*n.
2611*n
Collect the terms in 63*u**2 + 45*u - 94*u + 286*u**2 + 49*u.
349*u**2
Collect the terms in 2977*g**2 + 2957*g**2 - 5937*g**2.
-3*g**2
Collect the terms in -391*z**3 + 1125*z**3 + 456*z**3.
1190*z**3
Collect the terms in -34631*d + 17320*d + 17307*d.
-4*d
Collect the terms in -2 - 14*l**3 + 2 - 7*l**3 - 2*l**3.
-23*l**3
Collect the terms in -25*m + 3*m**3 + 66*m - 78*m - 20*m.
3*m**3 - 57*m
Collect the terms in h**3 + 1200304*h**2 - 1200304*h**2.
h**3
Collect the terms in 17*u**2 + 66*u**2 - 36*u**2.
47*u**2
Collect the terms in -83*u + 40*u + 21*u**2 - 71*u**2 + 49*u**2 + 43*u.
-u**2
Collect the terms in -4 + 4420332*f + 4 - 4420238*f.
94*f
Collect the terms in 2 - 16 + 4 - 46*z + 2.
-46*z - 8
Collect the terms in -3061*c**3 - 2*c + 0*c + 2*c.
-3061*c**3
Collect the terms in -96*t + 452*t - 177*t - 163*t.
16*t
Collect the terms in 12*u - 3*u - 169*u**3 + 180*u**3.
11*u**3 + 9*u
Collect the terms in 1505*w**3 + 1721*w**3 + 128*w**3.
3354*w**3
Collect the terms in 2 + 13959*c**2 - 13928*c**2 - 2.
31*c**2
Collect the terms in 11*n**2 - 36*n**2 - 19*n**2 - 14*n**2.
-58*n**2
Collect the terms in 210*d**2 - 110*d**2 - 98*d**2 + 10 + 2*d - 2*d.
2*d**2 + 10
Collect the terms in 711624*j**2 - 355780*j**2 - 355844*j**2 + 2*j**3.
2*j**3
Collect the terms in 67*o + 59*o - 243*o + 43*o + 70*o.
-4*o
Collect the terms in -215 - 9*j**2 - 20 - 99.
-9*j**2 - 334
Collect the terms in -7603*c - 7629*c + 15229*c.
-3*c
Collect the terms in 278*u**3 - 806*u**3 + 275*u**3 + 246*u**3 + 19.
-7*u**3 + 19
Collect the terms in -9*z**2 + 6*z**2 - 4 + 6*z**2 + 6 + 0*z**2.
3*z**2 + 2
Collect the terms in 4*l - 8059*l**2 + 57*l**3 + 8059*l**2.
57*l**3 + 4*l
Collect the terms in -24 + 24 - 2414*r.
-2414*r
Collect the terms in 8*b**2 + 6*b**2 + 13*b**2 - 33*b**2 + 9*b**2.
3*b**2
Collect the terms in r**2 - 179*r**3 + 392 - 3*r - 392 + 3*r + 162*r**3.
-17*r**3 + r**2
Collect the terms in 125 - 30 + n - 37 - 58.
n
Collect the terms in 147*i**3 + 149*i**3 + 140*i**3 - 438*i**3.
-2*i**3
Collect the terms in -260*w - 993*w - 844*w.
-2097*w
Collect the terms in 0 - 392*g + 853*g - 492*g + 0.
-31*g
Collect the terms in -423*u + 710*u + 403*u + 1544*u.
2234*u
Collect the terms in -13*i - 6*i + 2*i**3 - 5*i + 24*i.
2*i**3
Collect the terms in -27*f**2 + 29 - 19 - 11 + 18*f**2.
-9*f**2 - 1
Collect the terms in 115*f**3 - 387*f**3 + 130*f**3 + 132*f**3.
-10*f**3
Collect the terms in -604*r - 630*r - 603*r + 1838*r.
r
Collect the terms in 22228 + 60*y**3 + y**2 - 22228 + 101*y**3.
161*y**3 + y**2
Collect the terms in -47*x + 178*x - 54*x - 62*x.
15*x
Collect the terms in -15*b**2 - 25*b**2 - 12*b**2 + 73*b**2.
21*b**2
Collect the terms in 1608952 - 42*f**2 - 1608952.
-42*f**2
Collect the terms in 61*u**2 - 4482*u + 4482*u - 2.
61*u**2 - 2
Collect the terms in 16 + 122*o + 1 - 62*o - 61*o + 12.
-o + 29
Collect the terms in 25 - 181*o**3 + 29 - 57*o**3 - 54.
-238*o**3
Collect the terms in 49*z**2 - 201*z**2 + 104*z**2 + 48*z**2 + 2*z**3.
2*z**3
Collect the terms in -6330*p - p**3 + 0*p**3 + 3132*p + 3198*p.
-p**3
Collect the terms in 5*g + 2575 - 13*g - 2*g.
-10*g + 2575
Collect the terms in -1341*y - 12*y**2 - 1287*y + 2628*y.
-12*y**2
Collect the terms in -68*u**3 + 176*u**3 - 70*u**3 - 37*u**3.
u**3
Collect the terms in 2052195*v**2 + 5*v**3 - 2052195*v**2 + 5.
5*v**3 + 5
Collect the terms in -709150*k**3 + 709144*k**3 + 0 + 0.
-6*k**3
Collect the terms in -22*n**2 - 27*n**2 + 25*n**2 - 4*n + 4*n.
-24*n**2
Collect the terms in -2304 - 2191 + 4495 + 11*o**2.
11*o**2
Collect the terms in 106*d**3 + 28*d**3 + 2*d**3 + 265*d**3 + 227*d**3.
628*d**3
Collect the terms in -85*b**3 - 2*b**2 - 2*b**2 + 4*b**2 + 4.
-85*b**3 + 4
Collect the terms in 49 - 51*h**3 + 321*h**3 + 4.
270*h**3 + 53
Collect the terms in 152*p**2 - 246 - 297*p**2 + p**3 + 145*p**2.
p**3 - 246
Collect the terms in 890301 - 10*h**3 - 890301.
-10*h**3
Collect the terms in 3696*l - 1859*l + 3*l**2 + 3*l**2 - 1837*l.
6*l**2
Collect the terms in -42 - 47 + 265 - j**2 - 129 - 47.
-j**2
Collect the terms in -49*f**2 - 70*f**2 - 72*f**2.
-191*f**2
Collect the terms in 18*m**2 - 8*m**2 - 178*m**3 - 1684*m**3.
-1862*m**3 + 10*m**2
Collect the terms in 4*j**3 - 25*j**2 - 28*j + 77*j - 5*j**3 - 49*j.
-j**3 - 25*j**2
Collect the terms in -2675 - 2674 + 8023 - 8*n**3 - 2674.
-8*n**3
Collect the terms in 662*o**2 - 176*o**2 + 208*o**2.
694*o**2
Collect the terms in -139386*j**2 + 31*j**3 + 139386*j**2.
31*j**3
Collect the terms in 754*m - 360*m - 515*m.
-121*m
Collect the terms in -1339*o**3 + 2339*o**3 + 2290*o**3 + 2091*o**3.
5381*o**3
Collect the terms in -55425*w + 27348*w + 28079*w.
2*w
Collect the terms in -170784 + 170784 + 37*f.
37*f
Collect the terms in -1431*d + 729*d + 742*d.
40*d
Collect the terms in 118910 + 118906 - 237816 + 2*o.
2*o
Collect the terms in -21 - 14 - 117*z**3 + 34.
-117*z**3 - 1
Collect the terms in 10192*x + 3*x**3 - 4*x**3 - 10192*x.
-x**3
Collect the terms in -114*z**2 + 25*z**2 + 34*z**2 + 27*z**2 + 18*z**2.
-10*z**2
Collect the terms in -49*b**3 + b + b + 16*b**3 - 12*b**3.
-45*b**3 + 2*b
Collect the terms in -87 + 2*b**3 + 23*b**3 + 87 - 71*b**3.
-46*b**3
Collect the terms in -70*p - 68*p + 250*p - 71*p.
41*p
Collect the terms in 17*v - 177*v - 110*v - 153*v.
-423*v
Collect the terms in 1595*w**2 - 10 + 11 + 2.
1595*w**2 + 3
Collect the terms in 184*s + 183*s + 190*s - 568*s.
-11*s
Collect the terms in -7 + 1 - 2 + 37*f**2 - 16*f**2.
21*f**2 - 8
Collect the terms in -36*i - 1932 + 963 + 969 - 25*i + 40*i.
-21*i
Collect the terms in 24*u + 26*u - 12*u + 40*u.
78*u
Collect the terms in 6*q**3 + 24035 - 24035.
6*q**3
Collect the terms in -2*o**2 + 0*o + 80*o - 161*o + 81*o.
-2*o**2
Collect the terms in 6*x + 0*x**2 - 20*x**2 - 1774 + 1774.
-20*x**2 + 6*x
Collect the terms in -271*o**2 + 87*o**2 + 78*o**2 - 1.
-106*o**2 - 1
Collect the terms in 5*c**3 + 110 - 54 - 11*c + 2*c**3 - 56.
7*c**3 - 11*c
Collect the terms in 515*z**3 - 260*z**3 - 263*z**3 + 0*z**2 + 5*z**2.
-8*z**3 + 5*z**2
Collect the terms in 720*l + 536*l + 833*l + 257*l.
2346*l
Collect the terms in -1332 - 7256 - 6860*d + 6862*d.
2*d - 8588
Collect the terms in 55*i + 74*i - 210*i + 86*i.
5*i
Collect the terms in 1 - 977664*o**2 - 1 + 977663*o**2.
-o**2
Collect the terms in 13*u + 9*u - 36*u
|
{
"pile_set_name": "DM Mathematics"
}
|
(a) 0.1 (b) o (c) y
b
Let d be 22/8 + -6 + 147/28. Let y be (-3)/(21/d)*-1. What is the second biggest value in 1, 5, y, -1?
1
Let n = 209.3 + -209. Which is the biggest value? (a) 2/9 (b) n (c) -12/5
b
Let o = 176 + -175.8. What is the third smallest value in 5, o, 12?
12
Let j be ((-6)/63)/((-88)/154). What is the smallest value in -3/5, j, -2/3?
-2/3
Let s = 0.29 - 0.09. Let d = -26 - -23. What is the third biggest value in s, d, -0.3?
d
Let c = 7 + -4. Let h be (7/((-70)/(-6)))/((-3)/2). What is the fourth smallest value in h, -4, 2/23, c?
c
Let c = 0.29 + -0.09. Let n = -0.1 - c. Let s = -7/51 + 8/17. What is the third biggest value in s, n, -3?
-3
Let h be 62/(-93) + 8/(-6). Which is the third biggest value? (a) -0.06 (b) -3/5 (c) h
c
Let y be 7 - 4 - (-6)/(-1). Which is the biggest value? (a) -16 (b) y (c) 4
c
Let p = 29.13 - 29. Let n = -0.15 + p. Let r = -167/2 + 85. Which is the second biggest value? (a) n (b) 3/4 (c) r
b
Let h = 0.1479 + 24.7971. Let r = -0.055 - h. Let d = r - -26. Which is the biggest value? (a) d (b) 5 (c) -0.2
b
Let c = -974.5 - -975. What is the smallest value in 1/4, c, -9?
-9
Let w = 3.4 + -3.06. Let x = w - 0.42. Let j = 6.08 + x. Which is the biggest value? (a) j (b) -2/3 (c) -0.2
a
Let i be (-12709)/23807 - 6/(-14). What is the biggest value in 1, -18, 2/5, i?
1
Suppose 4*r - 16 = -3*x - x, -2*x - 20 = -5*r. Let s = 8.7 - 6.7. Which is the second biggest value? (a) x (b) -0.3 (c) -5 (d) s
a
Let y = -148 + 250. Let q = 90.8 - y. Let d = 13 + q. Which is the biggest value? (a) d (b) -5 (c) -4
a
Let g be ((-12)/(-21))/(6/21). What is the fourth smallest value in g, -0.4, -0.3, 26?
26
Let v = -0.19 - -0.33. Let l = v + 2.86. Suppose -3 = -y - 6. What is the smallest value in l, y, -5?
-5
Let h = -55 + 113. Let r = h - 56. Let p = -1 - -1.2. Which is the second smallest value? (a) 2/7 (b) p (c) r
a
Let n = -44.29 - -44. Which is the fourth smallest value? (a) n (b) 3 (c) -3 (d) -5
b
Let p be 2/(-6) - 16/(-66). Let h = 3.882 - 3.782. What is the third smallest value in h, 2/5, p?
2/5
Let y = -4.3 + -0.7. Let j(s) = s**2 - 6*s + 3. Let r be j(5). Let d be (3/4)/((-3)/r). Which is the third biggest value? (a) y (b) d (c) 2/3
a
Let k = -0.161 + 0.131. Which is the second biggest value? (a) k (b) -6 (c) 1/2
a
Let m = 787 - 790. Which is the second biggest value? (a) 0.4 (b) 14/9 (c) 3 (d) m
b
Let f(o) = -o**3 + 13*o**2 - 14*o + 27. Let r be f(12). Suppose 2 = -r*n - 1. Which is the second biggest value? (a) n (b) -2 (c) 3
a
Let l = 0.0148 + -0.5148. Which is the smallest value? (a) 1/8 (b) 2 (c) l (d) -3
d
Let j = 2.4 - 8. Let p = j + 5. What is the second biggest value in 3/7, p, 0?
0
Let w = -110 - -57. Let m = w + 52.5. What is the smallest value in 2, -0.3, m?
m
Let i = 0.41 - 0.61. Which is the smallest value? (a) i (b) 0.5 (c) 2 (d) 3
a
Let j = -195 + 194. Which is the fourth smallest value? (a) j (b) 1 (c) 2/17 (d) 1/4
b
Let f = -57 + 61. Let y = -51.4 - -51. What is the smallest value in f, 0.3, 0.18, y?
y
Suppose s - 33 + 9 = 0. Let n be ((-32)/s)/((-7)/3). Let y = -0.04 + 0.14. Which is the third smallest value? (a) -6 (b) y (c) n
c
Let a be 0 + 2*(-1)/6. Let d(y) = -45*y + 177. Let m be d(4). What is the second biggest value in 5/4, m, a?
a
Let k(h) = -h**3 + 2*h**2 + 30*h + 35. Let i be k(7). What is the smallest value in i, -25, 1, -0.3?
-25
Let a = 5.2 - 2.2. Let s = a + 7. What is the third biggest value in -3/5, s, -1/2?
-3/5
Suppose 4*f + 8 = 28. Suppose 0 = -5*m + 4*u + 87 - 31, 4*m = -f*u + 12. Let i = m - 11. Which is the third biggest value? (a) i (b) 0.2 (c) 4
a
Suppose -5*b + b = 12, 5*b - 15 = -3*z. Let y be (-2 + 4)*z/4. Let d = -1339 - -6694/5. What is the third smallest value in y, d, 2/9?
y
Let w = -2 + 3. Suppose 2*o + 25 = 7*o. Let m be (-34)/(-15) + 2/o. What is the third biggest value in 0.4, m, w?
0.4
Let c = 13 - 13.3. Let r = 29 - 29.52. Let u = r + 0.02. What is the smallest value in u, c, -0.1?
u
Let o = -67 - -66.842. Let m = -0.058 - o. Which is the second biggest value? (a) 3 (b) 2 (c) m (d) 1/3
b
Let z = 81 - 80.8. Which is the third biggest value? (a) -0.5 (b) 26.6 (c) z
a
Let h be 40/(-91) - (-3 + (-999)/(-351)). Let o = -6 + 6.3. Let g = 0.7 + o. What is the biggest value in 3, g, h?
3
Let i = 5 + -10. Let t = -141 - -142. Let r = 2 - 6. Which is the biggest value? (a) t (b) i (c) r
a
Let u = 15419 - 15424. Let y = -24 + -24. Which is the smallest value? (a) -6/5 (b) u (c) y
c
Let p = -0.4 - -1. Let h = p - 0.7. Let u = -0.17 + -0.13. Which is the biggest value? (a) h (b) -2/5 (c) u
a
Let n = 277 - 276.86. Which is the smallest value? (a) n (b) 0.3 (c) 4 (d) 6
a
Let u = -5.9016 - 0.0984. Which is the biggest value? (a) -0.6 (b) -2/9 (c) u (d) 0.1
d
Let o be ((-657)/135 - -5) + (-65)/150. Which is the smallest value? (a) o (b) -4 (c) -107
c
Let l be (6/(-8))/((-3)/(-432)). Let q be ((-16)/l + 0)*3. Which is the third biggest value? (a) -15 (b) q (c) 0.1
a
Suppose -5 = m - 2*g, -2*g + 15 = -3*m - 0*m. Suppose 4*w = -77 + 9. Let l be (-128)/68 - (-2)/w. Which is the smallest value? (a) m (b) 0.3 (c) l
a
Let m(o) = o**2 - 9*o + 18. Let f be m(12). Let l be (-2)/5 - f/(-120). What is the biggest value in -0.3, l, 3/7?
3/7
Let k = 2/901 + -1812/4505. What is the third smallest value in -0.47, k, -2?
k
Suppose s = 4*j - 3*s + 40, 2*j + 4*s = 4. Let n = 61/37 - 133/148. Which is the third smallest value? (a) j (b) -3 (c) n
c
Let w = 4.88 + -4.78. Let p = -0.9 - 0.6. Let z = p + 1. Which is the smallest value? (a) 0.3 (b) z (c) w
b
Let l(k) = k**3 - 51*k**2 + 189*k - 46. Let o be l(47). What is the fourth biggest value in 28/9, 0.5, -5, o?
-5
Let t = 0.4132 - 0.0132. What is the second smallest value in t, 0.3, 1/7, -3/2?
1/7
Let a = 1.84 - 1.64. What is the second biggest value in -0.1, a, -0.03, 1?
a
Let a = 0.033 + -17.033. What is the biggest value in 1/3, -1, a?
1/3
Let d = -0.6 + 0.5. Let t = d + 0.3. Let o = 101 - 105. What is the smallest value in o, -1, t?
o
Let p be (4/90)/(96/(-8695640)). Let h = 4026 + p. Let f = 2/27 - h. Which is the second smallest value? (a) 8 (b) -2 (c) f
c
Let t be ((-27)/2)/(13 + -19) - 3. Which is the fourth smallest value? (a) -0.034 (b) t (c) -3 (d) -5
a
Let g be 1/(-1)*(-140)/(-56). Which is the second smallest value? (a) 0.6 (b) -0.51 (c) 0.1 (d) g
b
Suppose -3*n + 4 = -n. Let a = 557 + -559.71. Let r = a + -0.29. What is the smallest value in 0.5, n, r?
r
Let h be -6 + 2 + 4 + 2. Suppose 2*w = -3*u + 5*w + 15, 0 = h*u - 3*w - 11. Let o = 12 - 12.3. What is the third biggest value in o, -0.6, u?
-0.6
Let g be ((-12)/2 + (-12)/(-4))/1. Let b be -14*((-3)/(-2))/(-3). What is the smallest value in 2/15, b, g?
g
Let x(w) = -w - 27. Let z be x(0). Let y be (-102)/z - (-6)/27. Suppose -p + 4*i + 3 = 2*p, y*p = -4*i + 4. Which is the biggest value? (a) p (b) -2 (c) 0.1
a
Let a = -2085 + 2086. What is the biggest value in a, -520, -2?
a
Let m = 3227/5 + -646. What is the third biggest value in m, 2, 1/4, -9/5?
m
Let v be 4/(-16)*(-8)/7. Let z = 52 - 51.9. What is the second smallest value in z, 2/23, v?
z
Suppose -35*x + 30*x = -v + 5, -3*v = 3*x + 21. What is the biggest value in x, -0.14, -5, 1/3?
1/3
Let y = 3.26 + -6.26. Which is the third biggest value? (a) -5 (b) y (c) 2 (d) 42
b
Let k = 52 + -362/7. Which is the biggest value? (a) -0.4 (b) 0.3 (c) 0.17 (d) k
b
Let n = -65 + 62. Let s(w) = -w**3 - 7*w**2 - 11*w. Let k be s(n). Which is the second smallest value? (a) k (b) -4 (c) -1 (d) 30
a
Let t = -3.2 - -6.3. Let a = 2.9 + t. Let i = 2/39 - -11/39. What is the third biggest value in a, i, 4?
i
Let a = -0.1257 - 0.8743. What is the third biggest value in a, -8, 2/17?
-8
Let m = -36 - -36. Let f = 12.19 + -11.69. Let s = -1 - -2. What is the second smallest value in m, s, f?
f
Suppose -560 = -20*i + 4*i. Suppose -4*o = -i - 33. What is the second biggest value in -1/5, -0.4, o?
-1/5
Let t = -99 - -193/2. What is the second smallest value in 1, -4, 5, t?
t
Suppose 6*q - 23 - 13 = 0. Let i = -2.2 - 0.8. Which is the third biggest value? (a) q (b) 1 (c) i
c
Let y = 3.4 + -3. Let k = -179 + 187. Which is the sm
|
{
"pile_set_name": "DM Mathematics"
}
|
189.4887362. Let g = -38 + b. What is g rounded to seven decimal places?
0.0000008
Suppose 11*n = -2*n - 16133. Round n to the nearest 10.
-1240
Suppose 280*t - 50670 = 271*t. Round t to the nearest one hundred.
5600
Let w = 8588 + -9041.7. Let n = w - -433. Round n to the nearest integer.
-21
Let x = -0.08 - -3.48. Let m = x - 3.40016. What is m rounded to 4 decimal places?
-0.0002
Let m be 5/(-1) + (3 - -2). Suppose g - 5*s - 44400000 = m, 4*s = 3*g - 191081271 + 57881271. Round g to the nearest one million.
44000000
Let i = -441.0000233 - -441. What is i rounded to six dps?
-0.000023
Suppose -27*c = -19*c - 1784800. Round c to the nearest ten thousand.
220000
Suppose 4*u + n - 15239996 = 0, -3*n + 3 - 15 = 0. What is u rounded to the nearest one hundred thousand?
3800000
Let n = 0.014 - 0.04. Let s = 0.0276 + n. What is s rounded to four decimal places?
0.0016
Let p = -9 - -31. Suppose p = 7*a - 321. Round a to the nearest ten.
50
Let m = 68.02 + -70. Let s = 2 + m. What is s rounded to one dp?
0
Let g = 0.01091149 + -0.0109. What is g rounded to 6 decimal places?
0.000011
Let a = -0.08 - 1.42. Let b = 544999.3000004 + -545000.8. Let h = a - b. What is h rounded to 6 decimal places?
0
Let u = 0.4185 + -0.2396. Round u to 2 decimal places.
0.18
Suppose -8 = p + 27. Let r be 444/(-15) + (-21)/p. Let h = r + -4. What is h rounded to the nearest 10?
-30
Let q = 67 - 16. Let v(f) = f**3 + 9*f**2 - 3*f - 15. Let s be v(-10). Let o = q + s. Round o to the nearest ten.
-30
Suppose -14 = -s - 4*x - 5, -3*s = 3*x - 18. Let t(h) = h**2 - s*h**2 + 3*h**2 + 4*h + 7*h + 8. Let u be t(12). What is u rounded to zero decimal places?
-4
Suppose -31 = -3*t + 14. Let g be 42/t*(555516 - 6). Suppose -g - 4444572 = 4*z. Round z to the nearest 1000000.
-2000000
Let t be (4400/(-352))/(2/(-2274080)*-1). Round t to the nearest 100000.
-14200000
Let z = -260.1 - -24.9. Round z to the nearest 100.
-200
Let p = 0.53 - 1.72. Let n = 1.1900258 + p. Round n to 5 decimal places.
0.00003
Suppose -2*w = -2*f + 22842, 0*f = w - 2*f + 11422. What is w rounded to the nearest one thousand?
-11000
Let y = -0.68 + 1. Let a = -0.07119 + 0.39164. Let z = a - y. What is z rounded to 4 decimal places?
0.0005
Let d = -26707.233 + 26695. Round d to one decimal place.
-12.2
Let c = -666507 + 666505.6599846. Let m = -1.34 - c. Round m to six dps.
0.000015
Let v = 6705 + -6703.1705. Let u = 0.835 - v. Let q = -1 - u. What is q rounded to three decimal places?
-0.006
Let v = -1086 + 1881. Let d(h) = -h**2 + h + 1. Let w be d(-2). Let q be (w - v)*-25*5. Round q to the nearest 1000000.
0
Let w(y) be the third derivative of -9*y**5/10 + y**4/8 + 2*y**3/3 - 10*y**2. Let q be w(-3). What is q rounded to the nearest 100?
-500
Suppose 0 = -2*k - 5 - 1, 0 = -p + 5*k + 19. Suppose -v + 234 - p = 0. What is v rounded to the nearest 100?
200
Let a = -6.9 - -55.9. Let p = 49.00000092 - a. Round p to 7 decimal places.
0.0000009
Suppose 4*o - 2*u = 1847992, -3*u + 4*u - 1848004 = -4*o. Round o to the nearest 100000.
500000
Let d = 38 + -37.83. Let t = 0.26 - d. Let v = -0.114 + t. Round v to 2 decimal places.
-0.02
Let r = 0.0391817702 + 45467.3527982298. Let t = r - 45466. Let m = t - 1.39. Round m to four dps.
0.002
Let g be (-3*1497)/(5/(-30)). Let a = g + 954. What is a rounded to the nearest 1000?
28000
Let v be ((-670)/(-7))/((-51)/357). What is v rounded to the nearest 1000?
-1000
Let v = -1917.00000348 - -1917. Round v to 6 dps.
-0.000003
Let y = 95 + -214. Let c = y + 119.000169. What is c rounded to 4 dps?
0.0002
Let q = -279 - -278.999937. What is q rounded to five decimal places?
-0.00006
Let g = 1.892 + 110.008. Let o = g + -75. What is o rounded to the nearest 10?
40
Let o = -193 + 193.0000234. What is o rounded to six dps?
0.000023
Let t = 5.76 + 0.24. Let u = t + -5.9999985. What is u rounded to 6 decimal places?
0.000002
Let t = 1 - 0.98. Round t to 2 dps.
0.02
Let f = -1781783579 + 1781783661.0000033. Let y = 146 - 64. Let u = f - y. Round u to 6 decimal places.
0.000003
Let g = 2.43 - 3.28. What is g rounded to 1 dp?
-0.9
Let y = -3108775.51864922 - -3062.21558922. Let m = y - -3105684. Let a = m + 29.3. What is a rounded to four dps?
-0.0031
Let r = 31 - 26. Let j be ((-293)/(-2))/(r/(-10)). What is j rounded to the nearest ten?
-290
Let t(s) = 2850204*s - 4. Let j be t(4). Let r = 26771836 - j. Let n = -3771024 + r. Round n to the nearest one million.
12000000
Let a = -8 - -8.02. Let u = a - -0.78. Let g = 0.7994 - u. What is g rounded to four decimal places?
-0.0006
Let d = -10 + 12. Suppose 0 = 3*f - 5*f + d*w - 11998, -4*f = -w + 23999. Round f to the nearest 1000.
-6000
Let a be 98075/((-6402)/800 + 8). Round a to the nearest one million.
-39000000
Let p = -0.738 + 0.038. Let z = -0.699956 - p. Round z to five decimal places.
0.00004
Let u = -835 - -834.999999266. What is u rounded to seven decimal places?
-0.0000007
Let c = -2181195106.72454 - -24085.72454. Let s = -2181171038.99999849 - c. Let x = s - -18. Round x to 7 decimal places.
0.0000015
Let t(z) = -14159999*z - 5. Let j be t(5). Round j to the nearest one million.
-71000000
Let a = -11.2 + 11.4808. Let u = -0.0278 + a. Round u to two dps.
0.25
Suppose 318730 = -2*u + i - 5*i, 159400 = -u + 5*i. Let b be (32/(-5))/(1/25). Let l be b/(318747/u - -2). Round l to the nearest one million.
-9000000
Suppose 2*q + 36*q + 27398000 = 0. What is q rounded to the nearest one hundred thousand?
-700000
Let k be (-6 - -7)/(0 + -1). Let d be (k - -12)/(4/60). Let s = 96 - d. Round s to the nearest ten.
-70
Let n = 1.3 + -1.31. Let w = -7.01 - n. Let s = -7.16 - w. What is s rounded to one decimal place?
-0.2
Let s = -53.869 + -0.831. Let c = -58 - s. Let a = -3.29999975 - c. What is a rounded to 7 decimal places?
0.0000003
Let s(f) = 1140*f**2 + f + 1. Suppose 3*k = 4*i + 2, -2*i - 3 = -5. Suppose -3*q - 2*q - k*m = -5, 0 = -q - 3*m + 14. Let v be s(q). Round v to the nearest 100.
1100
Let j = -2.944 + 0.406. What is j rounded to 0 dps?
-3
Let g(s) be the third derivative of -5*s**4/6 - 8*s**3/3 + 2*s**2. Let b be g(-6). What is b rounded to the nearest ten?
100
Let t = 52.08 + -1.08. Let z = 54.1 - t. Let n = -3.0999847 + z. What is n rounded to 6 dps?
0.000015
Let x = 151.094232 - 151.1. What is x rounded to 3 decimal places?
-0.006
Let d = -138.7838 + 7.4518. Let h = d - -131. What is h rounded to 2 dps?
-0.33
Suppose 5*u - 3*u - 4 = 0. Let c be (u/3)/(4/18). Let k(y) = 320*y**3 - 5*y**2 + y + 2. Let d be k(c). What is d rounded to the nearest 1000?
9000
Let g = 13.89 - 22.36. What is g rounded to 0 decimal places?
-8
Let q = 144.52 - 144. Let z = 0.519782 - q. Round z to five dps.
-0.00022
Let r = 65602.166 - 65783. Let a = -181 - r. What is a rounded to two decimal places?
-0.17
Suppose -2763196 = 4*j - 4*r, 22*r = 5*j + 25*r + 3454003. What is j rounded to the nearest 100000?
-700000
Let i(q) = -1064*q**3 - 8*q + 8. Let a be i(7). Round a to the nearest 100000.
-400000
Let u = 18600 + -18604.75136. Let a = 24.752 + u. Let h = 20 - a. Round h to 4 decimal places.
-0.0006
Suppose -2577705 = -5*b + 1542295. Round b to the nearest ten thousand.
820000
Suppose -5*d + 34159999 = u, -405*d = -407*d - 3*u + 13663997. What is d rounded to the nearest one million?
7000000
Let z = 0.133 - 67.133. Let d = -67.51 - z. What is d rounded to one decimal place?
-0.5
Let z = 72.8 - -225.2. Let t = 567 - z. Let d = t - 269.0000109. Round d to 6 decimal places.
-0.000011
Let c = -2.404 - -3.633. Round c to 1 decimal place.
1.2
Let f = 53 + -23. Let q = f + -10. Suppose 0 = 19*u - q*u - 1. What is u rounded to the nearest 10?
0
Let c(t) = 28000002*t**3 - 4*t**2 + 4*t - 2. Let g be c(1). Round g to the nearest 1000000.
28000000
Let q be (-6630)/2 - (35 - 35). What is q rounded to the nearest one hundred?
-3300
Let d = 4554.000004593 - 4554. Round d to 7 dps.
0.0000046
Let v(j) = 26*j + 16. Let d be 3*((-5)/4)/(15/(-20)). Let l be v(d). Round l to the nearest 10.
150
Let d = 6736180743 - 6736410304.19939. Let u = d + 229571. Let t = u - 9.8. Round t to four dps.
0.0006
Let p = -234.28818 - 0.54182. Let s = 7 + -240. Let t = s - p. What is t rounded to 1 decimal place?
1.8
Let g = -5.86 - -5.860347. What is g rounded to 4 decimal places?
0.0003
L
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 0) in the form u*s + y and give y.
3
Rearrange -195*m**2 + 43*m - 156*m + 2 + 58*m + 47*m to the form x*m + v + a*m**2 and give x.
-8
Express (3*v**3 - 81847 - 5*v - 81862 + 163732)*(-7 - 4*v + 8 + 3) as q*v**2 + r*v**4 + a*v**3 + k*v + n and give a.
12
Rearrange 26*x + 12*x + 258 - 12*x - 20*x + 58 to z*x + o and give o.
316
Rearrange -3*v**4 - 3777*v + 5*v**4 - 5*v**3 - 6 - v**2 + 3784*v to z*v**2 + j*v + n*v**4 + o*v**3 + i and give j.
7
Rearrange ((-d - 2*d + 5*d)*(-1 + 3 - 1) + 0*d + d + 0*d)*(3817 + 9170 - 23664 - 25381 - 22290) to k*d + b and give k.
-175044
Rearrange (y + 5 - 5)*(-2193*y - 3128*y**2 + 2193*y) to d*y**2 + m*y + n*y**3 + t and give n.
-3128
Rearrange 2 - 2 - 22387*w - 7663*w + 9692*w to the form t*w + b and give t.
-20358
Express (61 - 213 + 423)*(-2 - 2*p + 2 + (9*p - 6*p + 21*p)*(0 + 4 - 6)) in the form k + s*p and give s.
-13550
Rearrange -28 - 30*b**3 - 27*b**3 + b + 29*b**3 - 2*b**2 - 37*b**3 - 6*b**3 to the form j*b**3 + d*b**2 + y + h*b and give h.
1
Rearrange r - 12338 + 20*r**3 - 12327 + 24668 - 11*r**4 to the form c*r**3 + j*r + n*r**2 + o + i*r**4 and give c.
20
Rearrange (1 - 1 - 1)*(3*g - 3*g - g) + (-81*g - 76*g - 155*g)*(3 - 4 - 1) to y*g + t and give y.
625
Rearrange (-p - 2*p + 2*p + (-1 + 4 - 2)*(-5*p - 2*p - 3*p))*(9 - 505 - 134) to the form t + l*p and give l.
6930
Express (-54 + 110 + 560 - 113 + 291)*(-6*n + 8*n + 6*n) in the form z + r*n and give r.
6352
Express (0 + 2 - 3 + (-1 + 2 + 0)*(1 + 0 + 0) - 4 + 3 - 4)*(-187 + 187*i**3 + 187) as l*i**3 + p*i + k*i**2 + z and give l.
-935
Rearrange -684*r**2 + 1691*r**2 + 1422*r**2 + 54*r - 54*r to the form o*r + u + w*r**2 and give w.
2429
Express -23954*o + 1532*o**2 + 23954*o in the form k*o**2 + r + s*o and give k.
1532
Express -2424*u + 2*u**2 - 363 + 1263*u + 1165*u in the form o*u + s + r*u**2 and give r.
2
Express -19 - 26 + 34076*l - 26 + 71 as p*l + s and give p.
34076
Rearrange -445 - 12*p + 238 + 225 - 216*p to the form j + a*p and give a.
-228
Rearrange -45*c - 26 - 32 - 35 + 132 - 37 to the form i*c + s and give s.
2
Express -1 - 316*y**2 - 10*y + 2 - 1 + 497*y**2 as h + f*y + d*y**2 and give d.
181
Express 7685 - 6*p - 6*p + 4*p + 4*p - 7393 in the form s + d*p and give d.
-4
Express 4 + 2*h + 79108*h**2 + 2*h**3 - 158156*h**2 + 79291*h**2 as y*h**2 + p + g*h**3 + r*h and give p.
4
Rearrange ((3*s + 2*s - 4*s)*(5*s - s - 2*s) - 35*s**2 - 101*s**2 - 27*s**2)*(-472 - 2*s**2 + 472) to the form c*s**3 + v*s**4 + y*s**2 + g*s + i and give g.
0
Rearrange (3*u - 6*u - 7*u)*(-5*u + 4*u - u)*(4*u - u + u) + 251*u - 251*u + 49*u**3 to the form s*u**2 + b + m*u + w*u**3 and give m.
0
Rearrange (-1 - 2 + 1)*((-2 - 4 + 5)*(0 - 1 + 0) + (3 - 9 - 4)*(-4 - 5 - 1))*(3 - 3 - 2)*(0*h + 2*h + 0*h) to q*h + k and give q.
808
Express 22*r - 377401*r**4 + 4 + 33 + 377402*r**4 - r**3 as c*r**2 + z*r**4 + d + x*r**3 + n*r and give d.
37
Express -58*i + 82 + 2*i**3 - 81 + 48*i**2 + 58*i**2 - 2*i**4 - 107*i**2 in the form c*i**3 + a*i + m + s*i**2 + j*i**4 and give s.
-1
Express 0*j**3 + 37*j**2 + 61*j**4 + 26485 - 52965 + 0*j**3 + 26481 as h + i*j**2 + k*j**3 + g*j**4 + s*j and give h.
1
Express -20*x**2 - 14*x**4 - 14*x**3 + 8*x - 18*x**3 - 7*x + 19*x**2 + 28*x**3 in the form n*x**4 + y*x + p + w*x**3 + f*x**2 and give p.
0
Express 1158 + 350 + 20107*n - 1508 as k*n + g and give k.
20107
Express 1048*w**3 - 2038*w**3 - 8 - 7*w**4 + 1027*w**3 + 2*w**4 - 6 + 2*w**2 as y*w**2 + n*w**3 + i + k*w + z*w**4 and give y.
2
Express 58*b + 51*b - 169*b - 97 + 62*b in the form c + p*b and give c.
-97
Rearrange (8*v**2 + 5*v**2 - 4*v**2)*(0 - 3 + 4) - 45 - 116*v**2 + 45 + (0*v - v + 4*v)*(1 + 2*v - 1) to k*v + u + c*v**2 and give u.
0
Express (506*b + 396*b - 210*b + 382*b)*(4 - 4 - 1) in the form x*b + k and give x.
-1074
Express -o + 3*o + 4*o - o + 2*o + 8*o + (0 - 4 + 6)*(o - 2*o + 2*o) + 3*o + 3*o - 5*o + 39*o - 24*o + 22*o - 5*o + o + 0*o as v*o + q and give v.
51
Rearrange 320 - 27*y - y**3 - 1284 + 25*y to t + f*y**2 + r*y**3 + x*y and give x.
-2
Rearrange -1787*s**2 - 792*s**2 - 6395*s**2 - 267*s**2 - 4588*s**2 to the form x + l*s**2 + g*s and give g.
0
Rearrange (3 - 90 - 11)*(-9*i**4 - 33*i**4 - 77*i**4) to g*i**4 + z*i**3 + r*i**2 + c*i + f and give f.
0
Rearrange 0 + 5*c**4 + 5724*c**2 - 5738*c**2 - 10 + 0 + 2*c to the form s*c**4 + m*c + p + n*c**2 + w*c**3 and give m.
2
Express 1 - 3 + 13094*k + 2 - 14990*k in the form s + c*k and give c.
-1896
Rearrange d**4 + 2*d**2 + 14*d**3 - 7*d - 5111 - 3*d**4 + 5111 to the form i*d**2 + b*d + y*d**4 + x + l*d**3 and give b.
-7
Rearrange 737*s**3 - 735*s**2 + 156*s**3 + s + 366*s**2 + 368*s**2 to x*s**3 + k*s + r + b*s**2 and give b.
-1
Rearrange 4616*k**2 + 367 + 333 - 698 to the form g*k**2 + b + m*k and give b.
2
Rearrange (-2 + 2 - 2 + 0 + 0 - 2 + (-2 + 5 - 4)*(2 + 1 - 2))*((159*f - 44*f + 64*f)*(1 + 0 - 2) + (3 - 4 - 1)*(-3 + 3 - 3*f)) to the form u + y*f and give u.
0
Rearrange 14*n + 16*n**2 - 35*n - 751 + 750 + 10*n + 10*n - n**4 - 30*n**3 to y + z*n**3 + t*n + g*n**4 + h*n**2 and give g.
-1
Rearrange 477 + 861*p - 1460 - 863*p + 2*p**2 to w + a*p + n*p**2 and give n.
2
Express (48 + 27 - 122)*((-m + 3*m + 0*m)*(-4*m + 4*m + m) - 34*m + 2*m**2 - 59*m - 31*m) in the form t + h*m + f*m**2 and give f.
-188
Rearrange (-1 - 1 + 5)*(621 - 1252 + 624 + 47*o)*(-13 + 39 + 10)*(1 - 4 + 5) to l + g*o and give g.
10152
Rearrange 2*i**4 - 3*i**4 + 12*i**4 + (-2*i + 4*i + 5*i)*(i**3 + 0*i + 0*i) - 24*i**4 + 14*i**4 - 25*i**4 to l*i**2 + k*i + m*i**3 + t + q*i**4 and give q.
-17
Rearrange -2*i**3 + i**4 + 4 + 258393*i**2 + 3*i**3 - 258350*i**2 to k + q*i**4 + n*i + j*i**2 + x*i**3 and give j.
43
Rearrange (0*a**2 + 3*a**2 - 2*a**2 + (2*a - 3*a - a)*(-a + 1 - 1))*(-a + 56 - 147 + 67) to the form g*a + t*a**3 + k*a**2 + w and give w.
0
Express 6 + 680*k + 401*k - 12 - 64*k + 4 as g + q*k and give g.
-2
Rearrange 15*m + 145*m - 4 + 283*m to the form y + i*m and give i.
443
Express -4 - 12 - 633*q**2 + 33 - 16 as g*q + r*q**2 + b and give r.
-633
Rearrange -531267 + 57*a**2 - 475*a**2 + 531267 to the form w + p*a + o*a**2 and give o.
-418
Express (-13 + 21 + 11)*(3*c + 0*c - c) - c + 0*c + 2*c + (-3 + 0 + 4)*(-3*c + 0 + 0) + 2*c - c + 0*c + c - 5*c + 0*c + 1 - 1 + 3*c as g + o*c and give o.
36
Rearrange -1061*v - 11*v**2 + 1060*v - 16 + 5*v**3 - 3*v**3 - 6*v**2 to the form c*v**2 + p*v**3 + q*v + l and give p.
2
Express 2*w**4 - 13*w**4 - 9*w**4 + 24*w**4 - 2*w**2 + 23 - 6*w**4 in the form n*w**2 + d*w + h*w**4 + s*w**3 + c and give s.
0
Express -591 + 7*u**2 + 277 - 22*u + 310 as c*u + t + a*u**2 and give c.
-22
Rearrange (417*i**3 - 757*i**3 + 417*i**3)*(-2*i + i - i) - 4*i**4 - 2*i - i**4 + 4*i to the form p*i**3 + f*i + s*i**4 + c + o*i**2 and give f.
2
Rearrange 5*p**3 - 2*p**3 - 2*p**3 + (64 + 120 - 92)*(2861 - 2861 + 64*p**3) to w + d*p + j*p**2 + k*p**3 and give w.
0
Rearrange (-34 + 20 + 79 + 56)*((1 + 2 - 1)*(-4*l + 4*l - 3*l) - 2*l + l + 8*l) to n + p*l and give p.
121
Rearrange -527 + 142 + 385 - 23146*m to c*m + w and give w.
0
Express q - 4*q - 25*q**2 - 41*q**3 - 35*q**3 + q - 1 + 61*q**3 as v*q + k*q**3 + g*q**2 + j and give v.
-2
Rearrange (5*c - 2 + 2)*(-4*c + 2*c + 4*c) + (0*c - 2*c + c)*(2408 - 87*c - 2408) + 2*c**2 - 6*c**2 + 3*c**2 to k*c**2 + n + m*c and give k.
96
Express -8281*j + 7908*j + 6346*j in the form t*j + l and give t.
5973
Express 14 - 6*p**4 + 15*p**4 - 2*p**2 + 384*p - 5 - 385*p as h*p**4 + f*p**2 + m + s*p**3 + y*p and give s.
0
Rearrange (43*k - 46 - 47 + 94)*(0*k - 68*k + 109*k) to p + b*k + n*k**2 and give n.
1763
Express (3*v**2 + 0*v**2 - v**2)*(-2 + 3 - 9) + 315*v**2 - 21 - 158*v**2 - 159*v**2 in the form z*v + s*v**2 + w and give s.
-18
Rearrange 6*w**3 - 3 - 6485*w + 2*w**4 - 64*w**3 + 6484*w - 46*w**3 + 25*w**3 to s*w + n*w**3 + f*w**4 + o*w**2 + z and give s.
-1
Express 3*l + 366*l**3 - 26*l + 26*l + 6*l in the form g*l + n*l**2 + f*l**3 + x and give g.
9
Express -177539*u - 2 - 2*u**3 + u**3 - 6*u**4 + 88685*u + 88780*u as q*u + j + a*u**2 + p*u**3 + d*u**4 and give p.
-1
Express -728*v + 1434*v - 703*v - 221 in the form g + z*v and give g.
-221
Express -318*a - 257*a - 9*a - 330*a + 1 + 217*a in the form p*a + w and give p.
-697
Rearrange (-29*y**3 - 2*y**4 - 188*y**2 + 188*y**2)
|
{
"pile_set_name": "DM Mathematics"
}
|
common denominator of k and h.
12
Let c(b) = 2*b + 3. Let m = 81/11 + 197/33. Calculate the common denominator of m and c(-2).
3
Let m be 5/(2*3/6). Let p be 15/m + (-64474)/(-110). Let f = 2962/5 - p. What is the common denominator of f and 47/3?
33
Let a = -30 - -58. Calculate the common denominator of 76/3 and (a/(-48))/((-6)/(-81)).
24
Let f = -459757/1389 - -331. Let g = f + -109775/30558. Calculate the common denominator of g and -151/18.
198
Suppose -5*b + 10*b - 45 = 0. Suppose -348 = t + 3*t. Calculate the common denominator of 71/10 and (t/(-72))/((-1)/b).
40
Let j be 2 - (-1 - (1 - -2)). What is the lowest common multiple of 4 + j/15*5 and 18?
18
Let h be 5*(-5)/(25/(-4)). Suppose -h*m + 40 = -0*m. Suppose 6*p - 9*p = -12. Calculate the smallest common multiple of p and m.
20
Let b = 5 - 4. Suppose b - 9 = -4*r. Suppose 9 = -r*n + 41. Calculate the least common multiple of 8 and n.
16
Calculate the common denominator of -37/2 and (29 + -4)*1/8.
8
Suppose 97 = 4*x - 71. Let z = -4/15 - 97/30. Calculate the common denominator of x and z.
2
Let p = 1897/9 - 7153/36. Let q = 12029/4 + -3022. What is the common denominator of p and q?
12
What is the least common multiple of -1 + (2 + 1 - -2) and 14?
28
What is the common denominator of 133/18 and (-4)/24 - 308/60?
90
Let v(i) = 2*i - 8. Suppose 10 = 3*j - x - 6, 8 = 4*j - 4*x. Calculate the least common multiple of v(j) and 6.
6
Let o be 1*(-1 + 3) + -3. Suppose 0 = -0*b - 3*b - 3. Find the common denominator of (o - b) + 67/(-4) and -83/10.
20
Suppose -12*s + 101 + 19 = 0. Let a(d) = -d**3 + 7*d**2 - 6*d - 2. Calculate the least common multiple of s and a(5).
90
Let h(q) be the first derivative of 2*q**3/3 + 5*q**2/2 + 3*q - 1. Let g be h(-3). Suppose 12 = t - g. What is the smallest common multiple of 6 and t?
18
Let n(p) = -p + 24. What is the least common multiple of 8 and n(-16)?
40
Let y = 17 - 25. Find the common denominator of (570/y)/5*-2 and -9/10.
10
Let u(i) = -6*i - 8. Let f be u(-6). Suppose 0*d - f = d - 5*l, 2*d + 16 = 2*l. What is the common denominator of ((-22)/10)/(d/(-12)) and 17/2?
10
Let x = 13153/1240 + -36/155. What is the common denominator of 127/6 and x?
24
Calculate the smallest common multiple of (1 - 12/9)/(2/(-12)) and 7.
14
Let k = -787/6 - -140. Find the common denominator of (-36)/(-14) - (6 - 10) and k.
42
Let q(y) = y**3 + y**2 - 3*y + 4. Let f be q(-6). Let j = 582 - 1121/2. Find the common denominator of j and 2/(-32)*f*-2.
4
Let y = 9120 - 91273/10. Let f = -7223/4550 + -18/325. Calculate the common denominator of y and f.
70
Let a = -3/5 - -11/10. Suppose -h = -5*f + 2*h + 22, -7 = -2*f + 3*h. Find the common denominator of (-22)/(-1) - 5/f and a.
2
Let g = -36 - -40. Calculate the smallest common multiple of 10 and g.
20
Suppose 1 = r - 0. Suppose 3*g - 5*j = 19, 5*g + 4 = 5*j + 29. What is the least common multiple of 1 - 1*-5*r and g?
6
Suppose -3*d = f - 22, 5*f = -3*d - d + 66. What is the least common multiple of f and 1?
10
Suppose 0*k + 4*k = -4*d - 44, 0 = 5*d + 3*k + 51. Let n = d - -7. Find the common denominator of -13/7 and n.
7
Suppose -2*i + 4*c = 8, -6*c + 2*c + 24 = 2*i. What is the smallest common multiple of i and (2/1)/((-2)/(-14))?
28
Suppose 0 = 4*j - u - 10, -2*j + 5*u = -0*u - 14. Let g(f) = 7 + 5*f - 7. What is the least common multiple of j and g(1)?
10
Let w(p) = p - 3. Let n(g) = 7*g**2 + 2*g - 1. Suppose 0*j - 1 = -j. Calculate the least common multiple of n(j) and w(9).
24
Let q = 109 - 53. Let x = 78 - q. Calculate the least common multiple of 14 and x.
154
Suppose 0 = -c + 2*c + 1395. What is the common denominator of (-6)/(-9)*(-87)/(-32) and c/42 - 2/7?
16
Let x(h) be the first derivative of -h**3/3 + 5*h**2 + 10*h + 4. Calculate the lowest common multiple of x(10) and 9 + (-2)/(-2)*2.
110
Let w be ((-18)/290)/((-63)/12). Let m = 224291/2030 + w. Let b = 146 - m. Find the common denominator of 29/22 and b.
22
Let r be (2/4)/(9/1026). Suppose 0 = -5*s + r - 7. Calculate the least common multiple of 20 and s.
20
Let z = 30396/1452655 + -5878650821383/1162124. Let v = z - -5055574. Let m = 2963 + v. Find the common denominator of m and 43/8.
40
Let j(b) = 2*b - 9. Let v = -21 + 15. Let t = v + 17. What is the smallest common multiple of j(6) and t?
33
Let v(u) be the second derivative of -u**4/12 + 2*u**3/3 + u**2/2 - 2*u. Let z be v(4). Let i = z - -8. What is the least common multiple of 5 and i?
45
Find the common denominator of 250/44 - (-6)/(-2) and 31/10.
110
Let b(t) = t**3 - 7*t**2 + 5*t + 8. Let q be b(6). Find the common denominator of 41/2 and q*1*69/(-21).
14
Suppose 4*r + 4 = 2*r. Let b = r - -12. Calculate the least common multiple of b and 6.
30
Let y = -1735 + -1287. Let p be (y/1)/(10/(-45)). Let m = -271907/20 + p. Calculate the common denominator of 61/8 and m.
40
Find the common denominator of -97/18 and 6/28*158*(-2)/12.
126
Find the common denominator of 63/20 and (1/(-6))/(67/(-15) + 4).
140
Suppose 0 = 10*w - w - 27. Let f(j) = j**3 + 3*j**2 - 5*j + 1. Calculate the smallest common multiple of w and f(-4).
15
Suppose 5*z - b = -3*b + 46, 5*b = 2*z - 30. What is the lowest common multiple of 3 and z?
30
Let d(z) = z**3 + 11*z**2 + 7*z - 24. Calculate the least common multiple of d(-10) and 15.
30
Let d = 3012529/60 - 50206. Calculate the common denominator of d and 32/9.
180
Let w = -122 - -58. Calculate the common denominator of -45/2 and 524/(-9)*24/w.
6
Let y = 17751/112 - 2409/16. Find the common denominator of -25/16 and y.
112
Let j = 42336/11 + -3846. Find the common denominator of j and 3/(-15) + (-33)/55.
55
Let d = -38 + 41. Calculate the least common multiple of d and 24.
24
Suppose -i - 9 = -4*i. Suppose -i*y = -3*p - 951, -5*p - 1265 = -p - 3*y. Calculate the common denominator of 73/18 and 1 + -3 - p/24.
36
Suppose -7659 = -3*f + 9234. Let a = f + -67609/12. What is the common denominator of (-1 - -1) + 130/(-36) and a?
36
Let p(b) = -212*b - 6. Let d(r) = -5*r**3 + 1. Let s be d(1). Let v be p(s). Let x = 16751/20 - v. Calculate the common denominator of x and -89/4.
20
Suppose 0*y + 10 = 5*y. Suppose 1 + y = p. Suppose x - 8 = -p*q + 16, 0 = -x + 3. What is the lowest common multiple of 3 and q?
21
Let m be (-9)/6*5464/6. Let j = 17743/13 + m. Find the common denominator of 2/3 and j.
39
Suppose 2*f - 4*q = 44, 3*q + q + 98 = 5*f. Suppose 0 = -2*w - 3*w + 2*z + 62, 3*w - 2*z - 38 = 0. Calculate the least common multiple of w and f.
36
Let y = 10 - 1. What is the common denominator of 0/(-2) - (-3)/y and 9/8?
24
Suppose 0*s - 8 = -4*s. What is the lowest common multiple of 14/18 + s/9 and 7?
7
Suppose 3*j = -0 + 12. What is the lowest common multiple of j and 20?
20
Let i(s) = s**3 - s**2 + 1. Let x be i(-1). Find the common denominator of 49/10 and (13/42)/(x/(-27)).
70
Suppose -k = -6 - 12. Let p = -19 + 29. What is the least common multiple of p and k?
90
Suppose -2*m + 43 = -n, 2*n - 6 = 4. What is the lowest common multiple of m and 21?
168
Suppose 36 - 2 = 2*h. Let m = -9 + h. Calculate the smallest common multiple of m and 9.
72
Suppose h - 3*f + 18 = 2, 5*f = 15. Let o = 7363/6 - 1233. Calculate the common denominator of 1*2/h*-18 and o.
42
Let c be (21/7)/(3/(-14)). What is the least common multiple of 5/(c/(-4) - 3) and (2*1)/((-1)/(-5))?
10
Suppose q = -5*n + 45, 0 = 4*q + 4*n - 7*n - 65. Let c = 67 - q. What is the common denominator of (-4)/22 - c/44 and 15/16?
16
Let d(i) = 2*i + 4. Calculate the least common multiple of -2*-1*(-28)/(-8) and d(2).
56
Suppose 3*a + 4*q + 92 = 0, 3*a = -a - 2*q - 126. Find the common denominator of 150/a - (-1 - 0) and 89/14.
112
Calculate the common denominator of 111/14 and (1 + 42/(-60))*(-82)/(-4).
140
Let a be (-81)/(-6)*(-40)/(-6). Suppose r = -4*r + a. Let q = 0 + 8. What is the lowest common multiple of q and r?
72
Let f(h) = 8*h + 10. Let n be f(13). Find the common denominator of n/28*2/(-1) and 61/3.
21
Let l(i) = -11. Let t(n) = n - 1. Let w(x) = l(x) - t(x). Let m be w(-6). Calculate the common denominator of 91/20 and ((-8)/(-108))/(m/(-159)).
180
Let a = 5 - -2. Suppose -4*s + 1 = -11. Suppose -2*k + 6 = 0, -13 = -s*i + 4*k - 4. What is the least common multiple of a and i?
7
Let v(g) = 6 - g**2 - g**3 + 2*g + g**2
|
{
"pile_set_name": "DM Mathematics"
}
|
- 2*r - 2*r)*(-2 + 0 + 0) + r + 2 - 2.
5*r
Expand (-2*a**2 + 0 + 0)*(-5*a**2 + 3*a**2 + 3*a**2) + (4 - 1 - 1)*(0 - 2*a**4 + a**4 + 2).
-4*a**4 + 4
Expand (-3*q**3 + q**3 + q**3)*(2*q - 3*q + 2*q) + 0*q**3 - 2*q**4 + 0*q**3 + (-2*q + q + 0*q)*(q**3 + 0*q**3 - 4*q**3) - 3*q**4 + 7*q**4 + 0*q**4.
4*q**4
Expand 4*n - 3*n - 2*n + (-6 + 3 + 1)*(-2 + 2 + 2*n) - 11*n + 3*n - 17*n.
-30*n
Expand (13 + 1 + 10)*(2*y**3 - 2*y**3 - y**3).
-24*y**3
Expand (-3 + 6 + 0)*(2*n - 2*n - n)*(n**3 - 2*n**3 - 4*n**3).
15*n**4
Expand -4*j**3 + 3*j**3 - 6*j**3 + (j + j**3 - j)*(4 - 6 + 4) + (-j**2 + 2*j - 2*j)*(-2*j + 3*j - 2*j).
-4*j**3
Expand (6*g - 2*g - 3*g)*(2*g - 8*g - 5*g**2 + 4*g).
-5*g**3 - 2*g**2
Expand -28*s**2 + 195*s - 195*s + (-s - 1 + 1)*(s - s - s) - 2 - s**2 + 2.
-28*s**2
Expand (-6*o**2 + 5*o**2 - 4*o + 2*o**2)*(2*o + 4*o - 3*o).
3*o**3 - 12*o**2
Expand (-27*w**2 - 7*w**2 - 14*w**2)*(2 + 0 + 0) - 3*w + 2*w**2 + 3*w.
-94*w**2
Expand (13 - 63 + 22)*(2*p**2 + p**2 + 0*p**2).
-84*p**2
Expand 7*s**3 - 20*s - s**3 + 19*s + (-s + s + 2*s)*(0*s + 0*s + 2*s**2) + s - s**3 - s.
9*s**3 - s
Expand -2*u**2 + 2*u**2 - u**3 + (4*u**2 - 3*u**2 - 3*u**2)*(-2*u - 3*u + 3*u) - 258 + 258 - 11*u**3.
-8*u**3
Expand (-1 + 0 + 4)*(0 - 2 + 9*l - 2*l).
21*l - 6
Expand (-2 + 2 - s**2)*(0 + 0 - 2*s)*(0 - 4 + 3 - 2 + 2 - 2 + (0 + 3 - 1)*(0 + 4 - 5)).
-10*s**3
Expand (3*v + v - 3*v)*(-6*v**3 - 7*v**3 + 14*v**3 + (4*v**2 - 5*v**2 - v**2)*(2*v + 4*v - 4*v) + v**3 + 2*v - 2*v + 3*v**3 - 6*v**3 + 2*v**3).
-3*v**4
Expand (-q + 2*q + 3*q)*(-2*q**3 - q**2 + q**2).
-8*q**4
Expand (a - 4 + 4)*(0 - a + 0)*(-8 + 0 + 3)*(4 + 1 + 1).
30*a**2
Expand (-2 + 1 - 1 - 4*s**2)*(s**2 + 0*s**2 + 3*s**2).
-16*s**4 - 8*s**2
Expand 4*n**4 - 3*n**4 - 3*n**4 + 0*n**4 + 2*n**4 + 0*n**4 + (n**2 - 3*n**2 - n**2)*(-4*n**2 + 4*n**2 - n**2).
3*n**4
Expand (5 + 1 - 12)*(4 + 2 - 5)*(-2*z**3 - z**3 + z**3).
12*z**3
Expand (3 - 3 + 1)*(-7 + 6 + 7)*(-4*a**3 + 2*a**3 + a**3).
-6*a**3
Expand (3*x - 5*x + 4*x)*(-x**4 - 4*x**4 + x**4) + 2*x**5 - 3*x**5 + 0*x**5 - x**2 + 4*x**5 + x**5 - 6*x**5.
-10*x**5 - x**2
Expand (-2 + 2 + 1)*(p - 3 + 3)*(p**3 - p**3 - 2*p**4).
-2*p**5
Expand (t**2 - 3*t + 3*t)*(5*t + 2*t**2 + 6*t - 12*t).
2*t**4 - t**3
Expand (-29 + 29 + 29*b)*(-6 + 2 + 3)*(2*b + b - 2*b).
-29*b**2
Expand (-4 + 4 + 2*s)*(2*s**2 + 2*s**2 - 2*s**2) + 3 - 2*s**3 - 3 + 0*s**2 + 0*s**2 + s**3 + s**3 - 8*s**3 - 2*s**2 + 2*s**3 - s**3 - 2*s + 2*s.
-3*s**3 - 2*s**2
Expand (4*v**3 - 4*v**3 + 5*v**3)*(4 - 5 + 3) - 3*v**3 - 2*v**3 + 4*v**3.
9*v**3
Expand (-s + 0*s - 3*s)*(-3*s**3 - s**3 + 3*s**3).
4*s**4
Expand (-k**2 + k**2 + 2*k**2)*(2*k + k - k) - k**3 + 6*k**3 - 3*k**3 - 4*k**3 + 3*k**3 + 2*k**3.
7*k**3
Expand (-4*a**2 + 3*a**2 + 0*a**2)*(3*a - 4*a + 2*a) + a**3 + 2*a**3 - a**3 + 0*a**3 - 2*a**3 + 3*a**3 + 2*a**3 - 2*a**2 + 2*a**2 + 7*a - 7*a**3 - 7*a.
-3*a**3
Expand (4*i**2 - i + i)*(1 + 2*i - 1) - 2 - 23*i**2 + 59*i**2 - i**3 - 30*i**2.
7*i**3 + 6*i**2 - 2
Expand (-u**2 - 2*u**2 - u**2)*(4*u**2 + 0*u**2 - 3*u**2) + 0*u**4 + 4*u**4 - 2*u**4.
-2*u**4
Expand -6*a**5 + 92*a**2 - 92*a**2 + (2 - 1 + 1)*(-a**5 - a**5 + a**5) - 2*a**5 - a**5 + 2*a**5.
-9*a**5
Expand (-g + g - 2*g)*(-3 + 7 - 3)*(0*g - 2*g + 4*g)*(1 + 2 - 4).
4*g**2
Expand ((-12 - 1 + 4)*(3 - 7 + 3) + 2 + 0 - 1 + 1 + 1 - 4)*(2*v - 2*v - 3*v).
-24*v
Expand (j - 1 + 1)*(7 + 2 - 2)*(j**2 - 2*j**2 + 0*j**2).
-7*j**3
Expand -2*n**5 + 25*n**2 + 0*n**5 - 22*n**2 + (4*n - 4*n + n**2)*(4*n**3 + 0*n**3 - n**3).
n**5 + 3*n**2
Expand (-4 + 4 + 2)*(-5*q**2 - 15*q**2 + 6*q**2).
-28*q**2
Expand (-4 + 1 + 4)*(-4*r**4 - r**4 + 2*r**4)*(-3 + 4 + 2).
-9*r**4
Expand (-1 - 1 + 5)*(-5 + 4 + z + 3) + 2*z - 3*z + 2*z + (-2*z + 3*z + z)*(4 - 2 - 1) - 1 + 1 + 2*z.
8*z + 6
Expand (-k**2 - 2*k**2 - k + 2*k**2)*(-3*k - 5*k + 3*k).
5*k**3 + 5*k**2
Expand 4*x - 5*x + 4*x + 4*x + 0*x - 3*x + 1 + x - 1 + (5 + 0 - 3)*(-3 + 3 - x) - 3*x + 2*x + 4*x.
6*x
Expand (4*u**2 + 5*u**2 - 6*u**2)*(2*u**3 - 3*u**3 + 2*u**3).
3*u**5
Expand (4 + 6 - 5)*(6*g**3 + 18*g**3 - 8*g**3).
80*g**3
Expand (-1 - 3 + 0)*(-2*n + 2*n - n)*(n**4 - 2*n**4 - 2*n**4).
-12*n**5
Expand (-2*n - n + n)*(7 - 7 - 2*n)*(-2 + 0 + 3)*(n - 8*n - n).
-32*n**3
Expand (-5*u**2 + 2*u**2 + 0*u**2 + 4*u**2 + 4*u**2 - 6*u**2 + (8 + 1 + 4)*(4*u**2 + 3*u**2 - 6*u**2))*(3 - 3 - 3*u**2).
-36*u**4
Expand 0*t + t - 3*t + 1 + 4*t + t - 6*t + 2*t - 4*t + t + 4*t + 2*t - 4*t + (0*t + t + 0*t)*(-2 + 1 - 1) + 0*t + t - 2*t - 5*t - t + 4*t.
-7*t + 1
Expand (-1 - 1 + 5)*(-2*o + o**3 + 2*o) + 10 - 10 + o**3 + (-1 + 2 + 1)*(0*o**2 - o**3 + 0*o**2).
2*o**3
Expand -5*v**3 + 4 - 5 + 2*v**3 + 0 + 3*v**3 + 0 + (-v + 0*v + 0*v)*(-5 + 5 - 2*v**2) + 0*v**3 + 3*v**3 - v**3 - 3*v + 3*v - v**3.
3*v**3 - 1
Expand (x + 2*x - x)*(4*x**2 - 2*x**2 - 5*x**2) + x + 2*x**3 + 4*x**2 - 4*x**2.
-4*x**3 + x
Expand (2*l**3 + l**3 + 0*l**3)*(-2*l + 0*l + 3*l)*(-1 + 1 - 2*l).
-6*l**5
Expand (-2*t - 3*t + 0*t)*(2 + 0 - 1) + (3 - 2 - 2)*(2*t + 0*t - 5*t).
-2*t
Expand (-145 + 87 + 87)*((2 - 2*g - 2)*(-g**2 + 5*g**2 - 5*g**2) + 2*g - 2*g - g**3).
29*g**3
Expand (-2*k**2 + 2*k**2 + 4*k**3)*(-1 - 3 + 5)*(-4*k + 2*k + 5*k).
12*k**4
Expand -3 + 3 + 3*w + (1 + 0 + 0)*(2*w - w + 0*w) + (0 - 3 + 2)*(2*w + 0*w - 3*w).
5*w
Expand (-62*m - 92*m + 56*m - 228*m)*(2*m + 4*m - 4*m).
-652*m**2
Expand 1 + 2 - 7*n - 1 + (-4 + 1 + 2)*(-2 - n + 2) - 3*n + 4*n + n.
-4*n + 2
Expand (0*v**2 - 2*v**2 - v**2)*(-2 - 2*v**2 + 2) + (v**2 + 2*v - 2*v)*(-4*v**2 + 2*v**2 + 0*v**2) + (2 - 2 + v)*(v**3 - 6*v**3 + 3*v**3).
2*v**4
Expand (7 + 5 - 4)*(-3 + 1 + 5)*(-g + 3 - 3).
-24*g
Expand (2*q**2 + 1 - 1)*(-2*q**2 + 0*q**2 + 3*q**2) + (3*q**4 - 2*q**2 + 2 + 2*q**2)*(-3 - 2 + 1).
-10*q**4 - 8
Expand (6*w**2 + 9*w**2 - w**2)*(1 + 4 - 4).
14*w**2
Expand (-2 + 2 - 4*c**2)*(-1 + 5 - 2 + 1 + 1 - 1 + 3 - 1 - 1 + (-1 - 4 + 3)*(-1 + 2 + 1) + 1 - 1 - 2).
8*c**2
Expand (-5 - 2*j + 5 - 2*j - 2 + 2 + (2 + 0 - 3)*(-3 + 3 + 2*j) + 2*j - 6*j + 2*j)*(4*j**2 - 5*j**2 - 11*j**2).
96*j**3
Expand -2*y**3 + y**2 - y**2 + 5*y**3 - 2*y**3 - y**3 + (3 - 2*y - 3)*(2*y**2 - 2*y**2 - y**2) + y - y + y**3.
3*y**3
Expand (-2*f + 0*f + 7*f)*(-6*f**2 + 6*f**2 - 9*f**3).
-45*f**4
Expand (-4*i - 5 + 5)*(-i + i - 2*i + (-4 - i + 4)*(5 - 2 - 2) + 0*i - i + 0*i).
16*i**2
Expand -y**2 - y**2 - 8*y**2 + (y - 3*y + 0*y)*(-y + 0*y + 0*y).
-8*y**2
Expand 3*h**3 - 5*h**3 + 3*h**3 + 4*h**3 + 31*h**2 - 31*h**2 + (3 - 3 - h**2)*(3*h - 2*h - 2*h) + h**3 - h + h + (2*h**2 + 2*h - 2*h)*(4*h + 0*h - 3*h).
9*h**3
Expand (3*n + 4*n - 3*n)*(6 - 2 - 2) + 4 + n + 0*n - 2.
9*n + 2
Expand (-3 + 0 + 0)*(-4 + 3*l + 4)*(-l + 0*l + 4*l)*(5 - 4 - 2).
27*l**2
Expand (-1 - 9 + 3)*(2 - 2 + 1)*(5*p - 5*p - p).
7*p
Expand (2*m + 3*m - 3*m)*(0 + 6 - 2) + (4*m - 4*m + 2*m)*(0 + 1 + 2).
14*m
Expand -d**4 + 2*d**4 - 4*d**4 + (0 + 0 - 2*d)*(0*d**3 + 2*d**3 - d**3).
-5*d**4
Expand (-5 - 3*l**3 + 5)*(2*l**2 + 1 - 1) - 5*l**4 + 5*l**4 + 2*l**5 + (-3*l**3 - 3*l**3 + 4*l**3)*(0 + 2*l**2 + 0) + 4*l + l**5 + 0*l**5 - 2*l.
-7*l**5 + 2*l
Expand (-3*i + 2*i + 3*i)*(-3 + 2 + 0 + (-3 + 0 + 4)*(-4 + 3 - 2))*(-1 + 4 + 0).
-24*i
Expand (-2 + 3 + c**3 + 1)*((-5 + 4 - 1)*(6 - 2 - 2) - 6 + 4 + 3 + 0 - 5 + 3).
-5*c**3 - 10
Expand (0*j + 0*j + j)*(-4*j + 4*j + j**2)*(-j - j + j).
-j**4
Expand (2 - 6*w - 2 - 2 - 2*w + 2 + (2 + 0 - 4)*(-4 + 2*w + 4))*(3*w**2 - 3*w**2 - 2*w**2).
24*w**3
Expand (0*v**4 + v**4 - 2*v**4)*(-2*v + 1 - 1) + 79*v**2 + 127*v**5 - 79*v**2.
129*v**5
Expand 12*i**3 - i**3 - i**2 - 3*i**3 + (2*i**2 + i**2 - 2*i**2)*(-5*i + 2*i + i).
6*i**3 - i**2
Expand (3 + 6*h + 12 - 11)*(2*h - 3*h + 3*h).
12*h**2 + 8*h
Expand (-20 + 20 + 10*n**4 + (2 - 2 - n**3)*(-3*n + n + 4*n) - n**4 + 4*n**3 - 4*n**3 + (3*n + 0*n - 4*n)*(-2*n**2 + 2*n**2 + n**3))*(2 + 5 - 4).
18*n**4
Expand (-t - t + t)*(-t + 3 - 3) - t**2 - 2*t**2 + 2*t**2 + (2 + 0 - 1)*(-2*t**2 + 3 - 3).
-2*t**2
Expand ((-c**2 - 2*c + 2*c)*(2*c**2 - 4*c**2 + c**2) + 0*c**4 - 4*c**4 + 6*c**4 + 2*c**3 + 8*c**4 - 2*c**3)*(4*c + c + 0*c).
55*c**5
Expand (3*o**2 - 2 + 2)*(-1 + 3 + 0 + (1 - 2 + 2)*(0 + 3 - 1) + 10 + 0 - 2).
36*o**2
Expand (-2*a + a + 2*a)*(a - 2*a + 2*a) + 6*a - 2*a**2 - 6*a + (-6 + 2 + 2)*(2*a**2 - 4 + 4) + 1 - a**2 - 1 + 2*a**2 + 4*a - 4*a.
-4*a**2
Expand (-100 - 6*t + 100 + (-2 - 1 + 2)*(0*t + 2*t + 0*t) - 1 + t + 1)*(0 - 3 + 6).
-21*t
|
{
"pile_set_name": "DM Mathematics"
}
|
*b - 5*q. Suppose 3*z - 86 = -2*j, -4*z = 5*j - b + 57. Is 13 a factor of j?
False
Let m be (-74)/(-4) + (-2)/4. Suppose -f + m = -0*f. Is f a multiple of 9?
True
Let w(c) = c**3 + 7*c**2 - 4*c. Let k be (7/(-2))/(1/2). Is w(k) a multiple of 9?
False
Let f be (2/(-5))/((-1)/(-10)). Let g be (2/f)/(1/(-4)). Let m(h) = 2*h**2 + 3*h - 3. Does 11 divide m(g)?
True
Suppose -131 = -2*m + 51. Is 24 a factor of m?
False
Let f = 43 + -14. Suppose 3*s + 34 = -f. Is 12 a factor of s*(-5)/(45/6)?
False
Let a be (1 - 1) + (-3 - -1). Let t be -4 + (2 - -1) + a. Let l = 8 + t. Is 3 a factor of l?
False
Let r = -1 + 3. Let w(d) = 0*d**2 - 4 + 8*d + d**r - 5. Does 8 divide w(-11)?
True
Let p(s) = s**2 + s - 16. Does 5 divide p(6)?
False
Suppose 3*i = -3*p + 165, 4*p = -0*i - 5*i + 225. Is p/15*(-48)/(-10) a multiple of 4?
True
Let n(h) = -h**3 + h + h + 5*h - 4 + 5*h**2. Let b be n(6). Suppose -24 = -2*r - b. Does 11 divide r?
True
Suppose -159*m = -164*m + 125. Is 5 a factor of m?
True
Let t(r) be the second derivative of r**3/6 + 13*r**2/2 - 2*r. Let p = -5 + -1. Is t(p) a multiple of 4?
False
Let h = -121 + 214. Does 19 divide h?
False
Let k = 9 - -159. Is 24 a factor of k?
True
Let h(d) = d**2 + 10*d + 2. Let k be h(-11). Suppose 4*g + a - 15 = 9, -g + k = 2*a. Suppose -7*l = -3*l, -g*n = 3*l - 110. Does 8 divide n?
False
Suppose -480 = -4*c - 0*c. Let k = -51 + c. Is k a multiple of 23?
True
Let t(n) = n**3 - 9*n**2 + 9*n - 6. Let y be t(8). Suppose -u = 14 + y. Is (u/(-10))/((-4)/(-10)) even?
True
Let v(r) = 7*r + 1. Let n be v(2). Let a = n - 11. Suppose -i = a*p - 103, 0 = 2*i + 3*i + 5. Is p a multiple of 13?
True
Let b = -6 + 35. Is 4 a factor of b?
False
Is 15 a factor of (2 + 18)*12/32*12?
True
Let q = -21 - -15. Is ((-42)/(-9))/(q/(-27)) a multiple of 13?
False
Suppose 0 = -a - 135 + 19. Let g = -53 - a. Is 21 a factor of g?
True
Suppose -3*f + 415 + 329 = 0. Is 22 a factor of f?
False
Let f = -41 - 2. Is 3 + -3*f/3 a multiple of 23?
True
Suppose 0 = u - 5*h - 10, 2*u - 3*h + 5*h = 8. Suppose -5*c + 61 = -u*f - 64, -4*c + 98 = -5*f. Is 19 a factor of c?
False
Let q(b) = -b**3 + 8*b**2 + 9*b + 5. Let c be q(9). Suppose 0 = 4*m - j - 191, 250 = c*m - 0*j + j. Does 11 divide m?
False
Suppose 6*l = l - 5*u + 170, -26 = -l - 5*u. Suppose -l = -3*o + o. Is 18 a factor of o?
True
Let m(l) = -l**3 + 9*l**2 + l - 9. Let t be -18*(5/2)/(-5). Let g be m(t). Suppose g*i + 13 = i. Is 13 a factor of i?
True
Suppose 0 = 2*p - 7 - 1. Is p a multiple of 4?
True
Let i = -16 + 56. Suppose -2*x - 3*x = -i. Does 8 divide x?
True
Let s(k) = 4*k + k - 4*k + 12. Let j be s(-9). Suppose j*m = -m + 28. Is 5 a factor of m?
False
Let o(w) be the third derivative of -w**6/120 + 7*w**5/60 - w**4/6 - 7*w**3/6 + 3*w**2. Is o(6) a multiple of 2?
False
Let u(o) = -o - 9. Let g be u(-11). Suppose -40 = -v + 3*m - m, -g*m = -4*v + 178. Does 14 divide v?
False
Suppose 3*t - 38 = t. Does 11 divide t?
False
Let w = 3 - -1. Does 4 divide w?
True
Let l = 1 - -11. Suppose l = d + 3*d. Suppose 0 = -d*a - 0*a + 75. Does 7 divide a?
False
Suppose 20 = -0*i + i + p, -20 = -i - 3*p. Does 6 divide i?
False
Let p be (-1)/(-3) + (-3)/9. Suppose p = -3*q - 6, 2*t - 24 = q. Suppose -20 = -5*h - 2*d, 2*d + d - t = 2*h. Does 2 divide h?
True
Let y = 32 - 21. Does 2 divide y?
False
Suppose 35 - 11 = 3*v. Is 8 a factor of v?
True
Suppose -4*k = 7 - 23. Suppose -4*m - 2*r = -321 - 71, 4*r = k*m - 368. Is 32 a factor of m?
True
Suppose -5*o = -7*o + 50. Is o a multiple of 7?
False
Let a(r) = -r**2 - 3*r + 30. Is a(0) a multiple of 6?
True
Suppose -4*n + 9 = -3. Suppose n*c - 2*w = -8, 3*c + 4*w = 2*c - 26. Let y = c - -15. Is 9 a factor of y?
True
Suppose -2*j = 4*k - 54, 0 = -2*k + 3*j + 4 + 3. Is k a multiple of 9?
False
Suppose 35 = 5*w - 0*w. Let x = w - 5. Suppose 4*z + 3 = 3*u, -z - 13 = -2*z - x*u. Is 3 a factor of z?
True
Let d(s) = s + 6*s**2 + s**3 - 4*s + s + 1. Is 18 a factor of d(-5)?
True
Suppose 4*f = -63 - 29. Suppose -132 = -3*h + 5*j, 2*h + 4*j + 129 = 5*h. Let p = f + h. Is p a multiple of 11?
False
Suppose -3*x - 5*d = -207, -5*x + 244 = -x - 4*d. Is 8 a factor of x?
True
Suppose c - 6 = -c. Suppose c*i = 7*i - l - 36, -3*l + 28 = 5*i. Is i a multiple of 4?
True
Suppose -2 = 2*w - 0. Let g be (0 + -2 - w)*-36. Suppose 0*q + 4*i = 4*q - 16, 5*q - i = g. Does 8 divide q?
True
Let t(w) = 2*w + 1. Let g be t(-2). Let y(s) = -2*s**3 - 4*s**2 - 2*s. Let l be y(g). Does 15 divide (4/2)/2 + l?
False
Let n = -5 - -4. Let l be (-6)/(-3) - (n + -1). Is 4 a factor of (3 - -3)/(3/l)?
True
Let w(j) = -5*j - 6. Is w(-10) a multiple of 23?
False
Suppose -2*x + 0*x = -10. Suppose x = -p + 23. Does 8 divide (p/(-5))/(6/(-40))?
True
Suppose -i + 5*s - 8 = -3, 5*i + s = 1. Suppose -4*t + 4*f + 0*f + 68 = i, 35 = 5*t + 5*f. Is t a multiple of 12?
True
Let q = 29 + 68. Is q a multiple of 37?
False
Let v be ((-4)/(-6))/((-2)/(-3)). Let u = 13 + -26. Let f = v - u. Does 7 divide f?
True
Suppose g = -0*g. Suppose g = -7*f + 6*f + 3*i + 60, -4*f + 4*i = -200. Does 15 divide f?
True
Let v(i) = -37*i. Let b be v(4). Is 4/(-18) + b/(-18) a multiple of 4?
True
Let q be (-3*2)/((-4)/(-6)). Let j = 9 + q. Let y = j + 11. Is y a multiple of 3?
False
Suppose -4*k - v - 2 = -3, -2*k + 11 = -3*v. Is 10 a factor of (0 + k)*1 + 37?
False
Let h be 2 + 8*(-3 - 6). Let a be h/(-6) + (-5)/(-15). Suppose -8*y + 4*y = -a. Does 2 divide y?
False
Let l = 89 + -25. Suppose t + z = l, -t + 88 = -3*z - 2*z. Suppose h - 5*h + t = 0. Is 7 a factor of h?
False
Let g be 659/5 - 1/(-5). Suppose 0 = -5*k - 12 + g. Let v = k - 14. Does 5 divide v?
True
Suppose k - 5*t = 27, 7*t = 3*k + 5*t - 16. Suppose 3*q + k*b = -2, -2*q + 7 = -5*q - b. Is q + 3 - (-20 - 1) a multiple of 6?
False
Suppose 0*c + 2 = h + c, 2*h + 4*c = 0. Let t(f) = 3*f**2. Let u be t(-2). Suppose -u + 42 = 3*m - h*j, -3*j - 10 = -m. Does 4 divide m?
False
Let n(s) = s**3 - 10*s**2 + 9*s - 2. Let b be n(9). Is ((184/4)/b)/(-1) a multiple of 13?
False
Let o = 127 + -74. Is 5 a factor of o?
False
Let f = -17 + 30. Suppose -189 + f = -4*w. Does 22 divide w?
True
Is 23 a factor of (-2664)/(-38) - 12/114?
False
Let r be ((-510)/12)/(2/(-8)). Suppose 2*x - 7*x = -r. Let v = -20 + x. Does 7 divide v?
True
Let s be ((-20)/(-6))/((-2)/(-24)). Suppose 0 = 4*q - 28 - s. Is q a multiple of 7?
False
Let f(q) = q - 1 + 7*q**2 - q**2 + q**3 + q. Suppose -4 = 3*j - 2*j. Is 10 a factor of f(j)?
False
Let a(v) = 2*v - 1. Let i be a(2). Suppose 4*l - 13 = -4*u + 3*u, 0 = -l - i*u + 6. Is 3 a factor of l?
True
Let d(n) = -n**3 - 4*n**2 + 2*n + 3. Does 9 divide d(-5)?
True
Suppose -5*i = 10, 4*t - i = 2*t + 54. Is 13 a factor of t?
True
Suppose -4*n - 20 = 0, 0*b - 3*b - 19 = 5*n. Let h(j) = -2 + 5*j**b + j**2 + 3 + j. Is 3 a factor of h(-1)?
True
Does 43 divide (0 + 2/(-6))/((-36)/9288)?
True
Suppose -100 = 2*m - 3*m + 3*q, -100 = -m - q. Does 17 divide m?
False
Suppose 0 = -5*m + 4*n + 46, -3*n + 5*n - 2 = 0. Is 9 a factor of m?
False
Is 13 a factor of 102/4 - (-13)/26?
True
Does 21 divide 22 + 0 - (-1)/(-1)?
True
Let t = -5 - -12. Does 19 divide 57/(t/2 + -2)?
True
Let w be -17*(-4 + 1)/3. Let r be 0 + 0 + w - -2. Suppose 3*t - 11 = r. Does 9 divide t?
False
Let i be -3*8/(-36)*3. Suppose i*p = 4*q + 120, -5*p = -2*p - q - 165. Is 18 a factor of p?
True
Suppose -4*c + 5*v + 495 = 0, c - 4*v - 123 = -2*v. Suppose -2*i = 3*h + 1 - c, -3*h + 2*i + 116 = 0. Is h a multiple of 8?
True
Let m = -15 + 33. Is 12 a factor of m?
False
Suppose -c - 5*k + 38 = c, -5*c - 5*k = -80. Does 14 divide c?
True
Let w(g) = g**2 - 11*g - 6. Is 6 a factor of w(12)?
True
Let g(a) = -a**3 - 3*a**2 - 3*a. Let y be g(-4). Suppose 2*h + 2*h + 12 = -4*r, 4*h - 4*r - y = 0. Suppose h*n - 120 = -3*n. Is n a multiple of 12?
True
Let l(f) be the first derivative of f**4/4 + 7*f**3/3 + f**2 + 9*f - 3. Does 21 divide l(-6)?
False
Let r = 0 + 3. Let n = -5 + r. Is (3/6)/(n/(-96)) a multiple of 12?
True
Let j be (2/5)/((-1)/(-5)). Let r(b) = -4*b. Let d be r(-1). Suppose j*p - 28 + d = 0. Is 4 a factor of p?
True
Suppose 5*t + 20 = -5*u, -4*u + 2*t = 27 + 19. Let o = 24 - u. Is o a multiple of 23?
False
Suppose 5*n - 329 = -3*t, -25 = -t - 5*n + 78. Does 33 divide t?
False
Suppose 0*u = -2*u - 28. Let b = u + -13. Let p =
|
{
"pile_set_name": "DM Mathematics"
}
|
*n**3
Let z be (2/(-6))/(6/(-18)). Suppose 0 = -2*d + z + 3. Find the third derivative of 3*n**2 - 3*n**2 - d*n**2 + n**3 - 2*n**3 wrt n.
-6
Suppose 14*i + 20 = 4*i. Let c(m) = 47*m**3 - 3. Let x(l) = -49*l**3 + 2. Let w(q) = i*x(q) - 3*c(q). What is the first derivative of w(d) wrt d?
-129*d**2
Let x(z) = -z**3 - 10*z**2 + 3. Let k be x(-10). Suppose k - 6 = -q. Find the third derivative of -5*t**4 + 0*t**4 + 8*t**6 + 5*t**4 - q*t**2 wrt t.
960*t**3
Let n(k) = -k**2 - 19*k - 16. Let g be n(-18). What is the second derivative of -2*a**g - 261 + 128 + 133 - 6*a wrt a?
-4
Suppose 3*d + 3*d - 294 = 0. What is the first derivative of 96*l**2 + 11 - d*l**2 - 47*l**2 + 20*l**4 wrt l?
80*l**3
Let v(i) be the second derivative of -23*i**5/4 - i**3/2 + 23*i**2/2 - 29*i. Find the second derivative of v(l) wrt l.
-690*l
Suppose 3*o - 9 = -0*o. What is the third derivative of 0*x**3 - 10*x**2 - 5*x**2 + 10*x**3 - 5*x**o wrt x?
30
Let t(y) = -13*y**5 - 3*y**4 - 261*y**2 + 6*y. Let v(h) = -h**2 + 2*h. Let k(n) = t(n) - 3*v(n). Find the third derivative of k(w) wrt w.
-780*w**2 - 72*w
Find the second derivative of -1654*c**3 + 802*c**3 - 199*c + 823*c**3 wrt c.
-174*c
Let o(g) be the second derivative of -g**8/672 - g**6/40 - 3*g**4/2 + 15*g. Let v(l) be the third derivative of o(l). Find the second derivative of v(a) wrt a.
-60*a
Let s be 3 + (2/16)/(42/(-868)). Let r(u) be the second derivative of -3/2*u**2 + 0 + 0*u**3 + s*u**4 + 6*u. What is the derivative of r(d) wrt d?
10*d
Suppose 0 = -56*u + 57*u - 4. What is the second derivative of 24*v**4 - 7*v + 26*v - 18*v**u wrt v?
72*v**2
Let j(o) be the first derivative of 305*o**6/3 - 33*o**2 - 334. What is the second derivative of j(m) wrt m?
12200*m**3
Let u(i) = -301*i**3 + 2*i**2 - 3*i - 24. Let a(s) = -602*s**3 + 5*s**2 - 6*s - 49. Let b(q) = 2*a(q) - 5*u(q). Find the second derivative of b(o) wrt o.
1806*o
Let c(x) be the second derivative of 13*x**7/6 + 235*x**4/12 + x**2/2 - 149*x. What is the third derivative of c(d) wrt d?
5460*d**2
Let i(b) = 10*b - 4. Let x(n) = n + 1. Let t(p) = -2*p - 2. Let l(g) = -3*t(g) - 5*x(g). Let m(j) = i(j) - l(j). What is the derivative of m(a) wrt a?
9
Let u(b) be the first derivative of -23*b**4/4 + b**3/3 + 30*b - 34. What is the third derivative of u(m) wrt m?
-138
Let n be 287/(-5330) - (-4)/26. Let m(y) be the second derivative of 0 + 0*y**2 + 5/12*y**4 + 4*y + n*y**5 + 0*y**3. What is the third derivative of m(d) wrt d?
12
Let g(t) = -t**4 + t**3 - 2*t**2 + t. Let z(u) = -70*u**4 + 22*u**3 - 44*u**2 + 22*u + 110. Let r(h) = 44*g(h) - 2*z(h). What is the derivative of r(l) wrt l?
384*l**3
Let f(n) = -307*n**4 - 7*n**3 + 7*n + 33. Let s(r) = 205*r**4 + 5*r**3 - 5*r - 22. Let a(i) = 5*f(i) + 7*s(i). Find the first derivative of a(t) wrt t.
-400*t**3
Let f(h) = 181*h**4 - 3*h**3 - 148*h**2. Let w(l) = -182*l**4 + 4*l**3 + 147*l**2. Let s(n) = 4*f(n) + 3*w(n). What is the third derivative of s(m) wrt m?
4272*m
Let b(w) = 1317*w**2 + 16*w + 947. Let i(z) = -438*z**2 - 6*z - 316. Let s(y) = -3*b(y) - 8*i(y). Differentiate s(n) with respect to n.
-894*n
Let i(f) = -287*f**3 + 198*f**2 + 5*f - 5. Let x(m) = -287*m**3 + 199*m**2 + 4*m - 4. Let b(s) = 4*i(s) - 5*x(s). Find the third derivative of b(j) wrt j.
1722
Suppose -4*i + 64 = -4*m, 4*m - 3 = -19. What is the second derivative of -6*p - i*p**4 - p**4 - 3*p**4 - p wrt p?
-192*p**2
Let s(h) be the first derivative of 14/5*h**5 + 19 + 0*h**3 + 0*h**4 - 15/2*h**2 + 0*h. Find the second derivative of s(u) wrt u.
168*u**2
Let o(d) = 13*d**5 + 5*d**4 + 144*d**2 + 2*d + 5. Let f(u) = u**4 + 1. Let l(g) = 5*f(g) - o(g). What is the third derivative of l(s) wrt s?
-780*s**2
What is the second derivative of j - 226*j**3 + 10 - 20 + 12 - 30*j wrt j?
-1356*j
Let w = 30 - 26. Find the second derivative of 2*v + 7 + 39*v**4 - 27 - v**w wrt v.
456*v**2
Let i = -18 + 11. Let g be -4*(14/4)/i. Find the first derivative of 2 + 6 + l**2 - g wrt l.
2*l
Find the third derivative of -22*a**3 - 1992 + 21*a**3 + 17*a**5 + 2005 + a**2 wrt a.
1020*a**2 - 6
Suppose -b + 5 - 3 = 0. What is the third derivative of -16*v**2 - v + v + 13*v**2 + b*v**4 wrt v?
48*v
Let z(t) be the third derivative of 7*t**6/12 - 3*t**5/5 - t**4/12 + 86*t**2. Find the third derivative of z(x) wrt x.
420
What is the third derivative of -621*h**2 + 3*h - 3*h - 169*h**2 + 776*h**3 - 74*h**2 wrt h?
4656
What is the second derivative of 37*c + 8 + 101*c**2 - 161*c + 36*c**2 - 7 wrt c?
274
Let i(c) be the third derivative of 707*c**6/120 - 286*c**3/3 + 692*c**2. What is the first derivative of i(q) wrt q?
2121*q**2
Let z(f) be the first derivative of f**6 + 13*f**4/12 - 28*f - 23. Let t(s) be the first derivative of z(s). Find the third derivative of t(x) wrt x.
720*x
Let q(p) be the second derivative of -11*p**5/10 - 57*p**2/2 + 2*p - 6. What is the first derivative of q(d) wrt d?
-66*d**2
What is the third derivative of -70*g + 7*g**4 + 70*g - 2*g**3 + g**3 + 77*g**2 wrt g?
168*g - 6
Let l(f) be the first derivative of 37*f**2 + 44*f - 74. Differentiate l(h) wrt h.
74
Let h(k) be the second derivative of -3*k - 6*k**2 + 0*k**3 - 17/12*k**4 + 0. Find the first derivative of h(q) wrt q.
-34*q
Let t(j) be the third derivative of 131*j**5/60 + 97*j**4/12 + 276*j**2 - 1. Find the second derivative of t(l) wrt l.
262
Let r(a) = 8*a**4 - 47*a**3 + 609*a**2. Let x(h) = -6*h**4 + 31*h**3 - 406*h**2. Let v(p) = 5*r(p) + 7*x(p). What is the third derivative of v(w) wrt w?
-48*w - 108
What is the second derivative of 48*t - 178*t + 1 + 23*t + 27*t**2 - 215*t wrt t?
54
Let s(j) = -2*j**3 - 4*j**2 - 4*j + 1. Let f be s(-3). Find the third derivative of 4*y**3 + 3*y**3 - 7*y**3 + f*y**2 - y**3 wrt y.
-6
Let v(w) be the first derivative of -w**2/2 - 6*w - 7. Let i be v(-6). Differentiate -5*r**2 - 4*r**2 + i*r**2 - 9 + 4*r**2 with respect to r.
-10*r
Let z(o) = -9*o**4 + 139*o**3 - 97. Let g(d) = 14*d**4 - 208*d**3 + 145. Let w(s) = 5*g(s) + 8*z(s). Differentiate w(q) wrt q.
-8*q**3 + 216*q**2
Suppose 4*p - 45 = -9. Let a(r) = -40*r**2 - 3*r. Let n(t) = 81*t**2 + 7*t. Let m(d) = p*a(d) + 4*n(d). What is the second derivative of m(g) wrt g?
-72
Let k(s) = 5*s**2 + 5*s**3 - 4*s**3 + 3*s + 18 - 18. Let i be k(-4). Find the second derivative of 25*q**i + 14*q - 48*q**4 + 10*q**4 wrt q.
-156*q**2
Let t(p) be the second derivative of -153*p**4/4 - 35*p**3/6 - 3*p**2/2 + 381*p. What is the second derivative of t(h) wrt h?
-918
Let l(c) be the third derivative of c**8/336 - 3*c**5/10 - c**4/6 - 2*c**3/3 + 29*c**2. What is the second derivative of l(x) wrt x?
20*x**3 - 36
Let d(c) be the first derivative of 11*c**3/3 - 3*c**2 + 51*c + 95. What is the first derivative of d(w) wrt w?
22*w - 6
Differentiate -3*d**2 + d**2 - 2*d - 19*d**2 + 11 + 41 wrt d.
-42*d - 2
Let r(o) be the first derivative of -418*o**7/7 - 50*o**3/3 + 2*o + 112. What is the third derivative of r(p) wrt p?
-50160*p**3
Suppose -a + 2*i = -2*a + 20, -5*i = -2*a + 76. Find the third derivative of 27*t**4 + 11*t**4 - a*t**2 + 7*t**4 - 13*t**4 wrt t.
768*t
Let j(h) be the third derivative of -7*h**2 + 0 + 0*h + 37/60*h**5 + 3/2*h**4 + 0*h**3. Find the second derivative of j(g) wrt g.
74
Suppose -2*h = 6, -5*h = t - 6*t + 35. What is the second derivative of 7*i**4 + 34*i - 11*i - t*i wrt i?
84*i**2
Let n = -13 - -16. Suppose -n*l + 6 = 2*h, 4*l + 17 = 5*h + 48. Find the third derivative of 107 - 107 + 2*t**4 - l*t**2 wrt t.
48*t
Let h(i) be the third derivative of i**7/30 - i**6/40 + 80*i**3/3 + i**2 - 28*i. Find the first derivative of h(t) wrt t.
28*t**3 - 9*t**2
Let j(l) be the third derivative of -16*l**2 + 0*l**5 - 1/10*l**6 + 0 + 0*l**4 + 0*l - 1/3*l**3. Differentiate j(t) with respect to t.
-36*t**2
Let a(n) be the second derivative of 23*n - 1/6*n**4 + 0*n**2 + 0 + 0*n**5 + 19/30*n**6 + 0*n**3. Find the third derivative of a(b) wrt b.
456*b
Let f be (-73)/(-4) + (-7)/28. Suppose 0 = -2*a + 3*z + f, 0 = 4*a + 6*z - 3*z. What is the derivative of 5 - a*h - 3 - h wrt h?
-4
Let a(f) be the first derivative of -52*f**6/3 - 123*f**2/2 + 90. Find the second derivative of a(p) wrt p.
-2080*p**3
Let s(a) = -268*a**3 - 3*a**2 + 5*a - 371. Let x(v) = 803*v**3 + 8*v**2 - 14*v + 1112. Let k(z) = 8*s(z) + 3*x(z). Find the first deri
|
{
"pile_set_name": "DM Mathematics"
}
|
**3 + 2*n**2 + 4*n. Give 3*m(r) + 12*z(r).
54*r**3 + 6*r**2
Let i be (((-5)/(-3))/((-10)/30))/1. Let x(l) = -8*l. Let p(o) = -3*o - 6. Let t(n) = -4*n - 5. Let s(c) = -5*p(c) + 6*t(c). Give i*x(d) + 4*s(d).
4*d
Let q(i) = -60*i**2 + 3 + 124*i**2 - 65*i**2 - 2 - 4*i. Let r(h) = 5*h - 2. Give -3*q(x) - 2*r(x).
3*x**2 + 2*x + 1
Let j(k) = -8*k**2 - 6*k. Let z(m) = -9*m**2 - 7*m. Let p = 9 - 15. Determine p*z(u) + 7*j(u).
-2*u**2
Let v(j) be the first derivative of 1/2*j**2 + 1 + 8/3*j**3 + 2*j. Let a(g) = 7*g**2 + g + 2. Let c be 94/14 - 8/(-28). Determine c*a(b) - 6*v(b).
b**2 + b + 2
Let g(v) = -11*v**2 - 4*v - 9. Let b(m) = 3*m - 25 + 6*m**2 + 30 - m. Let z = -5 + 7. Suppose z*y - 5 - 3 = 0. Determine y*g(o) + 7*b(o).
-2*o**2 - 2*o - 1
Let s be -1*(0 + -1) - -1. Let y(g) = 0 - 1 + s. Let n(t) = -t + 4. Let b be (-3)/6*(-4)/2. Calculate b*n(z) - 3*y(z).
-z + 1
Let y(i) = -8*i + 25. Let u be (-2 + (-31)/(-2))*(-28)/(-42). Let q(g) be the second derivative of g**3/3 - 3*g**2 - 7*g. Give u*q(o) + 2*y(o).
2*o - 4
Let s(c) = -3*c**3 - 6*c**2 + 13*c - 6. Let n(m) = 5*m**3 + 11*m**2 - 24*m + 11. What is 6*n(a) + 11*s(a)?
-3*a**3 - a
Let q(s) = -22*s + 3. Let x(i) = -8*i + 2. Give -3*q(r) + 5*x(r).
26*r + 1
Let z(f) be the first derivative of 2*f**2 - 4*f + 182. Let d(j) be the first derivative of -j**2/2 + j + 3. Calculate -3*d(i) - z(i).
-i + 1
Let v(p) = 12*p - 147. Let k be v(12). Let n(u) = 5*u**2. Let q(j) = 6*j**2. Give k*n(c) + 4*q(c).
9*c**2
Let j = 121 + -124. Let g(i) = 2*i**2 + i. Let x(v) = 2*v**2 + v - 1. What is j*x(s) + 2*g(s)?
-2*s**2 - s + 3
Let z(q) = -4*q**3 + 2*q - 50. Let v(n) = -3*n**3 + 2*n - 51. What is -6*v(m) + 5*z(m)?
-2*m**3 - 2*m + 56
Let v(a) = -2*a + 5. Let m(s) = -1. Suppose 83*r = 57*r - 104. Suppose 5*n = -4 - 1. Determine n*v(u) + r*m(u).
2*u - 1
Let d(c) be the second derivative of 0*c**2 + 0 - 1/10*c**5 + 0*c**4 - 2*c - 1/2*c**3. Let t(l) = 3*l**3 + 4*l. What is -6*d(q) - 5*t(q)?
-3*q**3 - 2*q
Suppose -4*h = 2*h - 12. Suppose -u + h*z = -5 - 10, 35 = 3*u - 4*z. Let m(i) = -3. Let f(a) = -a + 7. What is u*m(v) + 2*f(v)?
-2*v - 1
Let t(z) be the first derivative of -3*z**2/2 + z + 7. Suppose 0 = -2*u - 14. Let b(o) = -5*o + 2. Give u*t(k) + 4*b(k).
k + 1
Let t(z) = -32*z**2 - 3*z - 6. Let b(x) = 48*x**2 + 4*x + 10. What is 5*b(w) + 8*t(w)?
-16*w**2 - 4*w + 2
Let o(m) = -5*m**3 - 5*m**2 - 2*m - 2. Let x(b) = 12*b**3 + 10*b**2 + 4*b + 4. Determine -5*o(n) - 2*x(n).
n**3 + 5*n**2 + 2*n + 2
Let x(s) = -s**3 + s**2 + 1. Let l(w) = -14*w**3 + w**2 - w + 1. Suppose -5*i - 2*d + 13 = 0, 17 = -3*i - 18*d + 23*d. Determine i*x(u) - l(u).
13*u**3 + u
Let r(y) = -6*y**3 - 7*y + 7. Let j be 3*(0 + -1) + -4. Let b(s) = -s + 5*s**3 + 6*s + s - 6. Let l = 895 - 901. Determine j*b(n) + l*r(n).
n**3
Let s(w) = -209*w - 21. Let p(t) = -t + 8. Give -3*p(v) - s(v).
212*v - 3
Let b(y) = 14*y + 20. Let h(s) = 68*s + 100. Give -24*b(g) + 5*h(g).
4*g + 20
Let k(y) = 2*y**3 + 2*y**2 + 6*y + 3. Suppose -52*f + 65 = -39. Let n(a) = -3*a**3 - 2*a**2 - 5*a - 2. What is f*k(o) + 3*n(o)?
-5*o**3 - 2*o**2 - 3*o
Let y(m) = 2*m**3 - 2*m**2 + 2*m + 1. Let d(x) = -15*x**3 + 8*x**2 - 10*x - 7. Give d(j) + 5*y(j).
-5*j**3 - 2*j**2 - 2
Let s(y) = -29*y**2 - y - 2. Let o(z) = -28*z**2 - z - 2. Determine -6*o(a) + 7*s(a).
-35*a**2 - a - 2
Let o(a) be the first derivative of -3*a**2/2 + 3*a + 114. Let s(d) = 3*d - 2. Calculate -4*o(q) - 6*s(q).
-6*q
Let c(q) = 32*q**3 - 11*q**2 + 20. Let k(y) = -11*y**3 + 4*y**2 - 7. Determine 4*c(r) + 11*k(r).
7*r**3 + 3
Let s(a) = -3*a**2 - 80*a. Let f(z) = 13*z**2 + 322*z. Calculate 2*f(u) + 9*s(u).
-u**2 - 76*u
Let p(q) = -16*q**2 + 3*q - 9. Let t(h) = -8*h**2 + h - 4. Let y(m) = 4*p(m) - 9*t(m). Let v(f) = 25*f**2 + 10*f. Give 3*v(s) - 10*y(s).
-5*s**2
Let q(d) = 11*d - 12. Let r(b) = b - 1. What is q(p) - 2*r(p)?
9*p - 10
Let z = -8 - -10. Suppose 5*i + 5*a = 30, -z*i + 3*a = -a. Let q(n) = 6*n**3 - 5*n - 6. Let k(h) = h**3 - h - 1. Calculate i*k(w) - q(w).
-2*w**3 + w + 2
Let q(a) = 2*a. Let j(d) = 30*d - 1. Calculate -2*j(l) + 10*q(l).
-40*l + 2
Let r(p) = 17*p**2 + 7*p + 9. Let t(o) = 874*o**2 - 865*o**2 - 1 + 4*o + 6. Calculate -4*r(j) + 7*t(j).
-5*j**2 - 1
Let a(t) = 19*t**2 + 2*t - 10. Let x(w) = 60*w**2 + 7*w - 31. Give 10*a(s) - 3*x(s).
10*s**2 - s - 7
Let r(n) = -10*n**2 + n + 4. Let j(k) = -39*k**2 + 5*k + 17. Give -2*j(z) + 9*r(z).
-12*z**2 - z + 2
Let s(m) = -21*m**3 + 24*m**2 - 24*m + 24. Let f(y) = -3*y**2 + y**3 + y**2 + 29 + y - 30 + y**2. Calculate 72*f(d) + 3*s(d).
9*d**3
Let k(w) = -3 + 7 - 5. Let r(a) = 6 + 2*a - 4 - 5*a. Let o(x) = -x**3 + 4*x**2 + 2*x - 5. Let u be o(4). Determine u*k(q) + r(q).
-3*q - 1
Let j(p) = 62*p**2 - 3*p + 1. Let g(u) = 122*u**2 - 5*u + 2. Determine 3*g(a) - 5*j(a).
56*a**2 + 1
Let t(o) = -2*o**3. Let p(y) be the second derivative of 3*y**5/20 + 3*y. Let s(z) = z**3 - 13*z**2 - 17*z + 38. Let u be s(14). Determine u*p(x) - 5*t(x).
-2*x**3
Let z(c) = 6*c**2 - 14*c. Suppose -89 + 29 = 12*u. Let r(v) = 2*v**2 - 5*v. Give u*z(t) + 14*r(t).
-2*t**2
Let p(n) be the third derivative of n**4/6 + 5*n**3/6 + 30*n**2. Let a(o) = o + 1. Let s(t) = t**2 - 11*t + 3. Let c be s(11). Determine c*a(j) - p(j).
-j - 2
Suppose 4*s = -3*o + 10, -s + 35 = 3*o - 2*s. Let q(l) = l + 0 + 5 - 1 + 2. Let v(i) be the second derivative of -i**2/2 - i. What is o*v(m) + 2*q(m)?
2*m + 2
Let d(h) = 14*h**2 + 11*h. Let l(g) = -5*g**2 - 4*g. Let n be 2*(35/(-14) + 3) + 10. What is n*l(w) + 4*d(w)?
w**2
Let f(u) = 4*u + 10. Let q be (-2)/2*(0 - 5/(-1)). Let h(g) = -2*g + 4. Let b(c) = c + 1. Let i(s) = -5*b(s) - h(s). Calculate q*f(l) - 6*i(l).
-2*l + 4
Suppose 4*m + 30 - 10 = 0, -4*f = 5*m + 17. Let k(h) = 4*h**2 - h - 2. Let p(n) = -5*n**2 + 2*n + 3. Let g = 18 - 15. Determine f*p(d) + g*k(d).
2*d**2 + d
Let z(r) = 4*r + 11. Let n(j) = 9*j + 23. Let p = 23 - 18. Calculate p*z(g) - 2*n(g).
2*g + 9
Let z(f) = 6*f**2 - 4*f - 5. Let l(s) = 5*s**2 - 3*s - 4. Suppose -20*a = -91 + 31. Calculate a*z(t) - 4*l(t).
-2*t**2 + 1
Let b(s) = 6026 - 6028 + 924*s - 925*s. Let g(c) = -4*c + 10. Let k(u) = 3*u - 7. Let z(v) = 5*g(v) + 7*k(v). Determine -5*b(l) - 10*z(l).
-5*l
Let b(a) = -1. Let d(u) = -u - 11. Let k(m) be the first derivative of m**2/2 - m - 16. Let f(w) = -d(w) + k(w). Give 20*b(o) + 2*f(o).
4*o
Let x(p) = -2*p - 46. Let j be x(-24). Let h(b) = b - 1. Let o(g) be the third derivative of -2*g**3/3 + 28*g**2. Determine j*h(u) - o(u).
2*u + 2
Let j(r) = 271 - 133 - 137 - 2*r + r. Let q(y) be the third derivative of y**4/24 - 2*y**2. Give -3*j(a) - 4*q(a).
-a - 3
Let g(l) = l. Let n(y) = -2*y**3 - 8*y**2 + 6*y + 1. Give 5*g(u) - n(u).
2*u**3 + 8*u**2 - u - 1
Let l be (-2)/(-6)*(-4 + 34). Suppose 0*b - 3*b - 14 = 2*m, -4*m = -3*b + l. Let n(d) = -1. Let w = 3 - 4. Let y(g) = g**2 + g + 2. Calculate b*n(o) + w*y(o).
-o**2 - o
Let t(w) = 24*w**3 + 15*w + 15. Let r(y) be the second derivative of -3*y**5/10 - 2*y**3/3 - 2*y**2 - 2*y + 47. What is -15*r(f) - 4*t(f)?
-6*f**3
Let p(v) = -5. Let u(f) = -6. Let k(n) = -5*p(n) + 4*u(n). Let b(l) = 7*l + 4. Let z(a) = b(a) + k(a). Let m(r) = -3*r - 2. Determine -10*m(c) - 4*z(c).
2*c
Let c(r) = -2*r**2 - 27. Let o(w) = w**2 + 27. Determine 4*c(i) + 6*o(i).
-2*i**2 + 54
Let d(h) = -55*h**3 + h - 4. Let a(x) = 54*x**3 - 2*x + 6. What is 3*a(n) + 4*d(n)?
-58*n**3 - 2*n + 2
Let s(m) = m**2 - m. Suppose 2*u + 3*l - 24 = 0, 13*u - 18*u + 10 = -5*l. Let f(r) = -2*r**3 - 4*r**2 + 6*r + 1. Determine u*s(o) + f(o).
-2*o**3 + 2*o**2 + 1
Let u(r) = -4*r - 3. Suppose -5*k + 3*l = 84 - 14, 5*k + 5*l + 70 = 0. Let m(b) = b + 1. Determine k*m(x) - 4*u(x).
2*x - 2
Let m(r) = 15*r + 7. Let z(p) = -4*p - 53. Let l be z(-12). Let h(a) = -10*a - 5. Give l*m(o) - 7*h(o).
-5*o
Let h = -1372 - -1369. Let m(z) = -z**3 - 6*z + 4. Let a(l) = l**3 + 3*l - 2. What is h*m(p) - 5*a(p)?
-2*p**3 + 3*p - 2
Let f(j) = -j**2. Let x(a) = -158*a**2 - 168*a**2 + 325*a**2. What is 5*f(l) - 2*x(l)?
-3*l**2
Suppose 0*f = -r - 5*f + 50, 2*f - 296 = -5*r. Let x = -59 + r. Let z(h) = 7*h - 5. Let t(k) = k - 1. Determine x*z(j) - 6*t(j).
j + 1
Let k(z) = z + 4. Let g(j) = 240*j - 180. Give -g(x) - 45*k(x).
-285*x
Let n(v) be the second derivative of v**5/10 - 5*v**4/12 + 5*v**3/6 - v**2 + 103*v. Let q(m) = -3*m**
|
{
"pile_set_name": "DM Mathematics"
}
|
increasing order.
-4, 1, 267, 137577
Sort 3, -1/118070, 7 in increasing order.
-1/118070, 3, 7
Put 0.1, 199, 6.7 in ascending order.
0.1, 6.7, 199
Put 1, -623.15, 0.68, 0.5 in increasing order.
-623.15, 0.5, 0.68, 1
Sort 8, -45082, -7, 1 in increasing order.
-45082, -7, 1, 8
Put 4, -0.3, 1150, 4/9, 3/7 in increasing order.
-0.3, 3/7, 4/9, 4, 1150
Sort -4, 6, -62133, 3, -2, -3, 4 in descending order.
6, 4, 3, -2, -3, -4, -62133
Put 4186, 34, 960 in decreasing order.
4186, 960, 34
Put 3, -97839, -5, 0, 26 in increasing order.
-97839, -5, 0, 3, 26
Sort 18910, -5, 9, -30 in descending order.
18910, 9, -5, -30
Sort -5, -0.077, -0.1, -588724 in ascending order.
-588724, -5, -0.1, -0.077
Put 13424, 1, 72/13 in decreasing order.
13424, 72/13, 1
Sort -17, -1/4, 47, 1270 in descending order.
1270, 47, -1/4, -17
Sort -16, -1, -61, 0, 5.
-61, -16, -1, 0, 5
Put 44126, -1/5, -1 in decreasing order.
44126, -1/5, -1
Sort -16882, 0, 26, 3, 5.
-16882, 0, 3, 5, 26
Sort -4, -1/12, 1.239, 18/127, 29 in ascending order.
-4, -1/12, 18/127, 1.239, 29
Sort 272, -1, 3, 215, -11, 1 in descending order.
272, 215, 3, 1, -1, -11
Put 247/2, 2, -6/14281, 0.4, -0.1 in decreasing order.
247/2, 2, 0.4, -6/14281, -0.1
Sort -6496, 17, 11 in descending order.
17, 11, -6496
Sort 1/3, -1.5, -1691, 3, -1/297.
-1691, -1.5, -1/297, 1/3, 3
Sort 2, -14, -775746 in decreasing order.
2, -14, -775746
Sort 2, 3851, 45/7.
2, 45/7, 3851
Put -7906, -6, 0, -1, -25 in descending order.
0, -1, -6, -25, -7906
Sort 15165, -1, 13, 5.
-1, 5, 13, 15165
Sort 41, 0, 23, -100, 5 in decreasing order.
41, 23, 5, 0, -100
Put 48, -4, 86638 in ascending order.
-4, 48, 86638
Sort 0.04, -366.399, 0.4 in descending order.
0.4, 0.04, -366.399
Put -7, 2/5, 1/8, -4, -0.3, 33/2 in ascending order.
-7, -4, -0.3, 1/8, 2/5, 33/2
Sort 1/8100, -0.1, -9/16.
-9/16, -0.1, 1/8100
Sort 1, -3, 18, 1167143 in descending order.
1167143, 18, 1, -3
Sort 2, 3, -108, 142, -9 in decreasing order.
142, 3, 2, -9, -108
Put 34, 11, 3898 in decreasing order.
3898, 34, 11
Put 3, -3, -541, -2, 99 in increasing order.
-541, -3, -2, 3, 99
Put 3, -6315945, -5, 2 in ascending order.
-6315945, -5, 2, 3
Put -2, 0, 25898937 in decreasing order.
25898937, 0, -2
Sort 124, 2/403231, 0.1.
2/403231, 0.1, 124
Put 0.02, -0.03, 0, -1, 530 in decreasing order.
530, 0.02, 0, -0.03, -1
Sort 2/9, 0.2, -28956830 in increasing order.
-28956830, 0.2, 2/9
Sort 13, 3757366, 2 in descending order.
3757366, 13, 2
Put -5, -144, -532, 6, -2 in decreasing order.
6, -2, -5, -144, -532
Sort 1965, 2, 0, -2116.
-2116, 0, 2, 1965
Put 5, -2, 2, 32, 1, -22 in decreasing order.
32, 5, 2, 1, -2, -22
Put -3, -1153, -4470, 0 in increasing order.
-4470, -1153, -3, 0
Sort -3/97, 7, 5, 2, -124, 5/4.
-124, -3/97, 5/4, 2, 5, 7
Sort 145069, -4, 4, -2, -5.
-5, -4, -2, 4, 145069
Sort 471, -20, -2, 23, 11, 2 in descending order.
471, 23, 11, 2, -2, -20
Put 787, 0.03, -78/281 in decreasing order.
787, 0.03, -78/281
Put -148, -29, 2, -8, -17 in descending order.
2, -8, -17, -29, -148
Sort -2/267, -5, 0.9, 0.073.
-5, -2/267, 0.073, 0.9
Put 4, 2, 2.9, 8.425, -6 in decreasing order.
8.425, 4, 2.9, 2, -6
Sort -3, 188, 2/15, 3, 57/13, 4 in descending order.
188, 57/13, 4, 3, 2/15, -3
Put -14, 248, -1378 in descending order.
248, -14, -1378
Sort 0, 22, 2, -4, -3582 in ascending order.
-3582, -4, 0, 2, 22
Put -3, -12250, -44, -5 in decreasing order.
-3, -5, -44, -12250
Put -1023, 1, 19, 4, 2, 0 in descending order.
19, 4, 2, 1, 0, -1023
Sort 0, 5, 1, -9, 414, -86 in decreasing order.
414, 5, 1, 0, -9, -86
Put 3181, -0.2, 2, 1, 0.4 in decreasing order.
3181, 2, 1, 0.4, -0.2
Sort -1, -7, -5, -2, 9, 4, 1.
-7, -5, -2, -1, 1, 4, 9
Sort 2, 3.8979, 1675, -0.2.
-0.2, 2, 3.8979, 1675
Sort -0.04, 2.4693, -2/11, -0.02.
-2/11, -0.04, -0.02, 2.4693
Sort -6, -13, 2, -4567 in decreasing order.
2, -6, -13, -4567
Put 0.04365, -92, -0.151 in decreasing order.
0.04365, -0.151, -92
Put -2, -13, -11037 in descending order.
-2, -13, -11037
Sort 182002, -1/6, 2/15, -4, -1 in decreasing order.
182002, 2/15, -1/6, -1, -4
Sort -0.8, 2595, -5.4 in decreasing order.
2595, -0.8, -5.4
Put 13, -1/4, -0.11, 1064, -0.3 in ascending order.
-0.3, -1/4, -0.11, 13, 1064
Put 513, 0, 45159 in increasing order.
0, 513, 45159
Sort 181, -1, -2, 5, 7, 3 in increasing order.
-2, -1, 3, 5, 7, 181
Sort 1, -5, 19, -39, -20 in descending order.
19, 1, -5, -20, -39
Sort 2, 1037, 6203, -3.
-3, 2, 1037, 6203
Sort 2/9, 895, -3, 1, 5.
-3, 2/9, 1, 5, 895
Put 0.0817, 0.04, -358, -5, -0.2 in increasing order.
-358, -5, -0.2, 0.04, 0.0817
Sort -0.1, 126770, 69, 4.
-0.1, 4, 69, 126770
Put -6, 213, 1.5, 0, 3 in increasing order.
-6, 0, 1.5, 3, 213
Put 4, 17, 11, -53, -8, -5, 2 in decreasing order.
17, 11, 4, 2, -5, -8, -53
Sort 1388, 1, -11848, -3, -5, -2.
-11848, -5, -3, -2, 1, 1388
Sort -2, -6/11, -7, 92245, 2/5.
-7, -2, -6/11, 2/5, 92245
Put -7, -2, -9, -3, 124189, 5 in descending order.
124189, 5, -2, -3, -7, -9
Sort 37, 0, 2, -3, -25, -2.7 in ascending order.
-25, -3, -2.7, 0, 2, 37
Sort 131/204, -3, 1.23, 4.
-3, 131/204, 1.23, 4
Put -23, 1, -65, -5, 4, -2 in descending order.
4, 1, -2, -5, -23, -65
Put -3, -1669, -4, -2, 2, -333 in descending order.
2, -2, -3, -4, -333, -1669
Sort 2, 1681/5, -5, -2/3, 0.01, -18 in decreasing order.
1681/5, 2, 0.01, -2/3, -5, -18
Sort 5/1529, 1, -0.322.
-0.322, 5/1529, 1
Sort 1, 17, -1, -94, 3, -267 in decreasing order.
17, 3, 1, -1, -94, -267
Sort 8, 0, 610, -115, -11 in decreasing order.
610, 8, 0, -11, -115
Put 42, -3, -43, -2, -5 in increasing order.
-43, -5, -3, -2, 42
Sort 152, -5, 3, 100, 0, -147 in ascending order.
-147, -5, 0, 3, 100, 152
Sort -469, -30, -0.19, -10 in ascending order.
-469, -30, -10, -0.19
Sort -2, 71, 310, -6, -1.
-6, -2, -1, 71, 310
Put 70, 20045, 2, -1 in increasing order.
-1, 2, 70, 20045
Sort -2, 2199574, 5, 2 in decreasing order.
2199574, 5, 2, -2
Sort -2, 29, 2, -10, 238 in ascending order.
-10, -2, 2, 29, 238
Sort -13, -1, 45, -4, -370.
-370, -13, -4, -1, 45
Sort -5, -27, 4, -4, 571999 in ascending order.
-27, -5, -4, 4, 571999
Sort -82503, -3, -6, 4 in descending order.
4, -3, -6, -82503
Put 8, -7, -3, 0, 39, 6 in descending order.
39, 8, 6, 0, -3, -7
Sort -471, -5, 73, 6, -3.
-471, -5, -3, 6, 73
Put 1, -0.54, 99.65, -5 in descending order.
99.65, 1, -0.54, -5
Put -0.5, 58887, -16/5 in descending order.
58887, -0.5, -16/5
Sort 5, 7, -5, -4, 6, 4436 in increasing order.
-5, -4, 5, 6, 7, 4436
Put -3, 17106, -5, -1, -2, -56 in decreasing order.
17106, -1, -2, -3, -5, -56
Sort -5, 20723, 12, -4, -26 in increasing order.
-26, -5, -4, 12, 20723
Sort -2085/8, -9, -19 in decreasing order.
-9, -19, -2085/8
Put 0, -5/4, 79, 0.5, -4/325 in descending order.
79, 0.5, 0, -4/325, -5/4
Sort 4, 7, -20, 315 in increasing order.
-20, 4, 7, 315
Put -169, -51, 2, 151, 1, 5 in increasing order.
-169, -51, 1, 2, 5, 151
Sort -2, 6306, -31, -1/9 in ascending order.
-31, -2, -1/9, 6306
Put 102, 5, 201 in decreasing order.
201, 102, 5
Put -9, -3, -4, -23, -8 in decreasing order.
-3, -4, -8, -9, -23
Sort -12, 5/2, -641420 in descending order.
5/2, -12, -641420
Put -41, -0.1, 0.08, 45083 in descending order.
45083, 0.08, -0.1, -41
Sort 4, 0, -42, -6, 1, 5 in descending order.
5, 4, 1, 0, -6, -42
Sort 22, 30, -5, -416, -15 in increasing order.
-416, -15, -5, 22, 30
Put -5, 3, -3, -30, 15, -1374 in descending order.
15, 3, -3, -5, -30, -1374
Sort 5, 201913, -2, 7.
-2, 5, 7, 201913
Sort 2/9, 7, 1/3, -2/13, 1/507647.
-2/13, 1/507647, 2/9, 1/3, 7
Sort 0.06, 3/5, -682092 in descending order.
3/5, 0.06, -682092
Sort 65, -3, 4, 1618, -2 in increasing order.
-3, -2, 4, 65, 1618
Put 5, -1, -3212592 in ascending order.
-3212592, -1, 5
Sort -5, -8/27, -1, -0.37, -24 in ascending order.
-24, -5, -1, -0.37, -8/27
Put -1, -6015, 51, 2, 4, 5 in decreasing order.
51, 5, 4, 2, -1, -6015
Sort -670, 4881, 0.5, 0.02 in descending order.
4881, 0.5, 0.02, -670
Sort -4, 23, -1, 1, -1837 in descending order.
23, 1, -1, -4, -1837
Put 148, 13, 11, 29 in increasing order.
11, 13, 29, 148
Sort 1272, 105, -7 in descending order.
1272, 105, -7
Put -653898, 6, 2, -10 in ascending order.
-653898, -10, 2, 6
Put 1/70, 0.31793, 0.2 in descending order.
0.31793, 0.2, 1/70
Put -2, -183, -18596 in decreasing order.
-2, -183, -18596
Sort 2/13, 1
|
{
"pile_set_name": "DM Mathematics"
}
|
o(x)?
-7*x
Let o(z) = 81*z**3 - 51*z**2 + 21*z + 21. Let p(j) = 8*j**3 - 5*j**2 + 2*j + 2. Let s = 5832 - 5834. Determine s*o(l) + 21*p(l).
6*l**3 - 3*l**2
Let n(d) = -18*d**2 + 47*d - 26. Let q(u) = 13*u**2 - 47*u + 24. What is -3*n(c) - 4*q(c)?
2*c**2 + 47*c - 18
Let g(p) = -p. Let t be 26/(-39) - (-10)/6. Let y(c) = c. Let z(h) = 158*h - 312. Let a be z(2). Calculate a*g(v) + t*y(v).
-3*v
Let z(f) = f**3 + f**2 - f - 2. Let d(p) = -4*p**3 - 5*p**2 + 5*p + 8. Suppose -3*w - 3*i + 4 = 22, -6 = -2*i. Calculate w*z(q) - 2*d(q).
-q**3 + q**2 - q + 2
Let f(k) = -11*k + 556. Let t(j) = 11*j - 656. Calculate -3*f(a) - 2*t(a).
11*a - 356
Let d(q) = -13*q**2 - 15*q - 45. Let y(f) = 4*f**2 + 5*f + 14. Let x(c) = 2*d(c) + 7*y(c). Let g(b) = -2*b**2 - 6*b - 9. Determine -5*g(l) - 6*x(l).
-2*l**2 - 3
Let s(o) = -o + 1. Let v(p) = -374*p - 369*p - 385*p + 1122*p - 45. Calculate 5*s(t) - v(t).
t + 50
Let w(z) = 16*z - 16. Let r = -8 - -13. Suppose -2*n + 11 = 5. Let f(l) = n + 0 + 2*l - r*l. What is -11*f(y) - 2*w(y)?
y - 1
Let m(y) = -7*y - 5. Let r(p) = 388*p + 17. What is -2*m(f) - r(f)?
-374*f - 7
Let v(b) = 232 - 110 - 13*b**2 - 125. Let w(g) = 1. Determine -v(u) - 3*w(u).
13*u**2
Let i(p) = -4*p**2 - p - 4. Let q(g) = -1. Suppose -22*c + 97 = -35. Let f(w) = w**3 - 5*w**2 - 3*w - 19. Let k be f(c). Calculate k*i(a) + 5*q(a).
4*a**2 + a - 1
Let m = -3291 - -3281. Let j(s) = -5*s + 7. Let q(p) = 16*p - 22. Give m*j(w) - 3*q(w).
2*w - 4
Let j = -31868 + 31870. Let g(n) = 4*n**2 - n + 3. Let l(q) = -21*q**2 + 5*q - 16. Give j*l(x) + 11*g(x).
2*x**2 - x + 1
Let c(s) = 4*s**3 - 3*s**2 - 2. Let r(b) = -9 + 12 - 2*b**3 - b**3 + 4*b**2 - 2*b**3. Let z(g) = -g**3 + g**2 - 2*g - 4. Let t be z(0). What is t*c(i) - 3*r(i)?
-i**3 - 1
Let i(m) = 6*m**3 + 8*m**2 - 23*m - 464. Let g(u) = -13*u**3 - 18*u**2 + 50*u + 927. What is -4*g(a) - 9*i(a)?
-2*a**3 + 7*a + 468
Let u(t) = t**2 + t. Let v(r) be the first derivative of -11*r**3/3 - 3*r**2 - 1. Suppose -441*k = -869*k + 442*k - 14. Calculate k*v(n) + 6*u(n).
-5*n**2
Let o(h) = -24*h + 38 + 12*h - 36 - 4*h**2 + h**3. Suppose 17 - 41 = -4*j. Let l be o(j). Let b(u) = -2*u. Let f(n) = 3*n - 1. What is l*f(x) + 5*b(x)?
-4*x - 2
Let z be (-1 - 0)*2 + 7. Let j(t) = -9*t + 2. Let n(i) be the second derivative of -4/3*i**3 + 2 + i**2 + 29*i. Calculate z*j(g) - 6*n(g).
3*g - 2
Let m = 25914 + -25920. Let p(l) = -8*l**2 + 20. Let o(v) = -1 - 1 + v**2 - 1. Calculate m*p(t) - 40*o(t).
8*t**2
Let x(n) = 2*n - 7. Let c(r) be the first derivative of -r**2/2 + 6*r - 142. Suppose -5*s - 9 = 5*w + 21, -2*s = 3*w + 18. What is w*x(f) - 7*c(f)?
-5*f
Let f(i) = -9*i + 5. Let a(o) = 3*o + 48. Let p(b) = 3*b + 38. Let h(m) = -4*a(m) + 5*p(m). Give 2*f(g) + 7*h(g).
3*g - 4
Let x(m) = 13*m - 6. Let y(r) = -61*r - 7. Let k(q) = -166*q - 20. Let i(h) = 4*k(h) - 11*y(h). Calculate 7*i(v) - 3*x(v).
10*v - 3
Let c(r) = 7*r**2 + 106*r + 9. Let u(n) be the first derivative of n**3 + 53*n**2/2 + 4*n - 7224. What is 2*c(x) - 5*u(x)?
-x**2 - 53*x - 2
Let w = -21086 + 21091. Let l(m) = 3*m**3 + 5*m**2 - 2*m + 8. Let u(b) = -2*b**3 - 3*b**2 + b - 5. Give w*l(k) + 8*u(k).
-k**3 + k**2 - 2*k
Let w(s) = -s. Let o(a) = -6*a**3 - 15*a**3 - 8*a**3 - a**2 + 2*a + 35*a**3 - 7*a**3. Calculate o(p) + 4*w(p).
-p**3 - p**2 - 2*p
Let j(m) = 9*m + 2. Let l(t) be the first derivative of -t - 5/2*t**2 - 3. Suppose 2*i - 8*n + 4*n = -18, -3 = -5*i + 2*n. Calculate i*j(h) + 5*l(h).
2*h + 1
Let x(w) = -16*w**3 + 12*w + 3936. Let s(m) = -3*m**3 + 2*m - 1. Determine 6*s(i) - x(i).
-2*i**3 - 3942
Let l(d) = -4*d + 428. Let m(n) = -7*n + 855. Calculate 11*l(h) - 6*m(h).
-2*h - 422
Let j(n) = -15298*n**3 - 32*n**2 - 8*n - 16. Let r(d) = -2921919*d**3 - 6116*d**2 - 1529*d - 3058. Determine -1529*j(x) + 8*r(x).
15290*x**3
Let m(v) = 2*v**3 - 57*v**2 - 31*v + 46. Let k be (-100)/(-75)*(-87)/(-4). Let w be m(k). Let p(r) = r**2. Let y(g) = 2*g**3 - 6*g**2. What is w*p(h) - 2*y(h)?
-4*h**3
Let s(g) = -5*g**2 + 5*g - 39. Let z(u) = -2*u**2 + u + 1. Give -s(t) + 3*z(t).
-t**2 - 2*t + 42
Let n(t) = 2*t. Suppose 354 = -15*q + 9*q. Let j = q + -33. Let f = 90 + j. Let d(m) = 6*m + 1. What is f*d(a) + 5*n(a)?
-2*a - 2
Let d(s) = -s**3 - 4*s**2 + 14*s. Let m(w) = -2*w. Suppose -3*h = -6, 7*x - 726 = 2*x + 2*h. Let p = 144 - x. Determine p*d(u) - 14*m(u).
2*u**3 + 8*u**2
Let n(u) = 7*u**2 - 6*u - 1. Let z(c) = 2*c**2 + c - 2. Calculate n(t) + z(t).
9*t**2 - 5*t - 3
Let r(j) = 9*j + 17. Let u be 40/2 + (34 - -5)/(-13). Suppose -o - 11 = 4*v, -4*v + u = 3*o + 50. Let m(z) = -5*z - 9. What is o*m(y) - 6*r(y)?
y - 3
Suppose 2*c - 89 = 4*m - 77, 5*c = -3*m - 22. Let o(p) = 7*p + 5. Let k be 2 - (10*1)/2. Let b(u) = -8*u - 6. Calculate k*b(q) + m*o(q).
-4*q - 2
Let c(m) = m - 1. Suppose 33*j + 2317 = 2218. Let u(p) = 5*p - 3. Let t(d) = 1. Let y(o) = -t(o) + u(o). Give j*c(w) + y(w).
2*w - 1
Let o(c) = 44*c + 1. Let l(n) = -382*n - 5. What is l(q) + o(q)?
-338*q - 4
Let q(u) = 44*u - 3. Let w(y) be the first derivative of -198*y**2 + 28*y + 3543. Give -28*q(v) - 3*w(v).
-44*v
Let s(v) = 2810*v**2 - v + 15. Let y(h) = 1405*h**2 + 6. Calculate 2*s(r) - 5*y(r).
-1405*r**2 - 2*r
Let w(x) = 3 + 5*x - 2*x - 4 - x. Let u(v) be the third derivative of v**4/24 + 114*v**2 + 3*v + 37. Calculate -3*u(t) + w(t).
-t - 1
Let r(l) = -7*l + 7. Let b(a) = -7*a + 7. Let t = 22197 + -22194. Give t*r(z) - 2*b(z).
-7*z + 7
Let j(s) be the second derivative of -3*s**5/20 + 12317*s. Suppose l = 6*l. Let w(d) = -7*d**3 + l*d**3 + d**3. Calculate -9*j(y) + 5*w(y).
-3*y**3
Let o(m) = 154*m - 1. Let k(s) = -780*s + 6. Give -2*k(p) - 11*o(p).
-134*p - 1
Let p(s) = 668*s - 1343. Let t be p(2). Let l(f) = -3*f**2 + 2*f + 2. Let w(j) = 5*j**2 - 3*j - 3. What is t*l(v) - 4*w(v)?
v**2 - 2*v - 2
Let g(j) = -66*j**2 + 59*j + 4. Let h(x) = -199*x**2 + 190*x + 13. Calculate 13*g(l) - 4*h(l).
-62*l**2 + 7*l
Let g(a) = -6*a**2 - a - 115. Let c(j) = 7*j**2 + j + 121. Give 4*c(k) + 5*g(k).
-2*k**2 - k - 91
Let g(d) = -d**2 - 17*d + 8. Let h(i) = i**2 + 16*i - 5. What is 3*g(q) + 2*h(q)?
-q**2 - 19*q + 14
Let r(k) be the third derivative of 13*k**4/24 + k**3 - 81*k**2. Let t(l) be the first derivative of l**2/2 + l - 8. Give r(b) - 5*t(b).
8*b + 1
Let t(b) = 3256*b**2 + 248*b - 46. Let h(l) = -362*l**2 - 27*l + 5. Give -92*h(n) - 10*t(n).
744*n**2 + 4*n
Let g(a) = 7*a + 2. Let x(m) = -20*m - 6. Suppose 0 = 5*o + 26 + 4. Calculate o*x(y) - 17*g(y).
y + 2
Let p(c) = -6*c - 4. Let g(f) = 2 - 26*f + 34*f - 5*f. Suppose 3*i - 4 = 8. Suppose 4 + i = -2*x. Calculate x*p(n) - 9*g(n).
-3*n - 2
Let s(w) = -5*w + 15. Let v(t) be the second derivative of t**3/6 - 3*t**2/2 - t - 58. Calculate 4*s(l) + 22*v(l).
2*l - 6
Let c(y) = 2153*y + 138. Let g(j) = -2155*j - 160. What is -7*c(q) - 6*g(q)?
-2141*q - 6
Let g(p) = -p - 2. Suppose -3*a + 31*a - 56 = 0. Let m(h) = -88 + 47 + 42 + a*h. Calculate -2*g(x) - 3*m(x).
-4*x + 1
Let j(g) = 9*g**3 + 11*g - 8. Let s(m) = -m**3 - 1 - 4 + 30*m + 2 + 4*m**3 - 26*m. What is -4*j(l) + 11*s(l)?
-3*l**3 - 1
Let c(z) = -3*z**3 - 2*z**2 - 14*z - 11. Let w(g) = 9*g**3 + 6*g**2 + 43*g + 31. Give -17*c(d) - 6*w(d).
-3*d**3 - 2*d**2 - 20*d + 1
Let f be 5*(7 - (-798)/(-105)). Let d(q) = -2*q + 1. Let l(n) = 1. Let s(x) = x**2 - 3*x + 1. Let t be s(2). Determine f*l(z) + t*d(z).
2*z - 4
Let b(i) = 9*i**2 - 1314*i - 11. Let x(h) = 7*h**2 - 984*h - 8. What is 8*b(q) - 11*x(q)?
-5*q**2 + 312*q
Let t be -2 - 17/(-6) - 49/(-294). Let i be (-45)/(-5)*(-4)/3. Let s(a) = 20*a**3 - 12*a. Let k(g) = g**3 - g. What is i*k(r) + t*s(r)?
8*r**3
Let n(w) = -w**2 + w - 1. Suppose 3*k - 4*q = -38, 8*k + 40 = 3*k + 2*q. Let i(l) = 9*l**2 + 7*l - 6. Give k*n(t) + i(t).
15*t**2 + t
Let z(t) = 1. Let i(j) = 23*j. Let k(u) = 2*u**2 - 48*u + 215. Let q be k(6). Calculate q*i(w) + 2*z(w).
-23*w + 2
Let z(m) be the first derivative of -7*m**2/2 - 2*m + 4. Suppose 5*h + 35 = -5*i + 5, -5*i = 0. Let g(o) = -6*o - 2. Calculate h*g(a) + 5*z(a).
a + 2
Let b(t) = -4*t**3 - 3*t**2 - 1. Let s(x) be the third derivative of 2/3*x**3 - 44*x**2 + 0*x + 1/8*x**6 + 0*x**4 + 11/60*x**5 + 0. What is 22*b(f) + 6*s(f)?
2*f**3 + 2
Let w(j) = -j**3 - j**2 + 2*j - 1. Let v(q) be the second derivative of -q**5/10 - q**4/4 + 5*q**3/6 - 3*q**2/2 - 466*q - 7. Calculat
|
{
"pile_set_name": "DM Mathematics"
}
|
c = 0.
-5, 0
Suppose -28*i**5 + 132*i**4 - 23*i**3 - 200*i**2 - 108*i - 16 = 0. Calculate i.
-1/2, -2/7, 2, 4
Let 4*b**4 + 216*b**3 + 2448*b**2 - 12760*b + 10092 = 0. What is b?
-29, 1, 3
Solve 4*r**3 + 524*r**2 + 16896*r - 17424 = 0 for r.
-66, 1
Factor -5*m**4 + 5*m**3 + 30*m**2.
-5*m**2*(m - 3)*(m + 2)
Factor -w**4/8 + 13*w**3/8 - 25*w**2/4 + 4*w + 12.
-(w - 6)*(w - 4)**2*(w + 1)/8
Suppose 2*k**2 - 74*k - 1176 = 0. Calculate k.
-12, 49
What is o in 2*o**2/9 + 56*o/9 + 374/9 = 0?
-17, -11
Factor -2*w**5/7 + 207*w**4/7 - 505*w**3/7.
-w**3*(w - 101)*(2*w - 5)/7
Determine m so that -5*m**3 + 85*m**2 + 1800*m - 30780 = 0.
-19, 18
Factor -10*o**3/7 - 8*o**2 + 24*o/7.
-2*o*(o + 6)*(5*o - 2)/7
What is s in -115*s**3/3 - 12*s**2 + 4*s/3 = 0?
-2/5, 0, 2/23
Solve -26*o**2/3 - 12*o - 10/3 = 0 for o.
-1, -5/13
Let g**4/2 + 51*g**3/2 + 207*g**2 - 520*g = 0. What is g?
-40, -13, 0, 2
Let 4*o**2/5 + 624*o/5 = 0. Calculate o.
-156, 0
Factor -w**5/5 + 9*w**4 - 528*w**3/5 + 484*w**2/5.
-w**2*(w - 22)**2*(w - 1)/5
Determine a so that 2*a**3/5 + 18*a**2/5 + 16*a/5 = 0.
-8, -1, 0
Let -223729*j**2 + 946*j - 1 = 0. What is j?
1/473
Factor l**2 - 1448*l - 1449.
(l - 1449)*(l + 1)
Find n, given that -4*n**4 + 65*n**3 - 12*n**2 - 65*n + 16 = 0.
-1, 1/4, 1, 16
Determine g so that 2*g**2 + 86*g + 560 = 0.
-35, -8
Factor 2*q**2 - 20*q + 48.
2*(q - 6)*(q - 4)
Factor -2*l**3 - 2*l**2 + 16*l + 24.
-2*(l - 3)*(l + 2)**2
Factor -2*i**5/11 - 2*i**4/11 + 40*i**3/11.
-2*i**3*(i - 4)*(i + 5)/11
Factor -3*s**2 + 45906*s - 175613403.
-3*(s - 7651)**2
Factor -36*t**2/5 - 52*t/5 - 16/5.
-4*(t + 1)*(9*t + 4)/5
Factor -p**5 + 15*p**4 - 83*p**3 + 209*p**2 - 240*p + 100.
-(p - 5)**2*(p - 2)**2*(p - 1)
Solve 2*m**2 + 22*m + 20 = 0 for m.
-10, -1
Find s, given that -27*s**3/2 + 63*s**2/2 + 12*s = 0.
-1/3, 0, 8/3
Find h such that -117*h**5 - 1137*h**4/4 + 2721*h**3/4 - 234*h**2 - 57*h + 12 = 0.
-4, -1/4, 2/13, 2/3, 1
Let 2*v**3 + 170*v**2 + 4000*v + 16000 = 0. Calculate v.
-40, -5
Factor -5*y**5 + 225*y**4 - 2640*y**3 + 2420*y**2.
-5*y**2*(y - 22)**2*(y - 1)
Factor -3*c**3/5 - 3*c**2/5 + 60*c + 60.
-3*(c - 10)*(c + 1)*(c + 10)/5
Factor -m**2/6 - 865*m/3.
-m*(m + 1730)/6
Factor -v**2 + 112*v - 3136.
-(v - 56)**2
What is c in 2*c**5/3 + 2*c**4/3 - 76*c**3/3 - 24*c**2 + 48*c = 0?
-6, -2, 0, 1, 6
Let a**4/5 - 46*a**3 - 1413*a**2/5 - 718*a/5 + 472 = 0. What is a?
-5, -2, 1, 236
Solve -3*i**3/4 + 33*i**2/2 - 63*i/4 = 0.
0, 1, 21
Determine q, given that 5*q**2 + 5*q - 100 = 0.
-5, 4
Factor 2*g**2/3 + 116*g/3 + 224/3.
2*(g + 2)*(g + 56)/3
Factor 3*u**2 + 2052*u + 350892.
3*(u + 342)**2
Factor -5*h**3 + 40*h**2 - 60*h.
-5*h*(h - 6)*(h - 2)
Determine w, given that -w**5 + 15*w**4 - 36*w**3 - 4*w**2 + 48*w = 0.
-1, 0, 2, 12
Factor -2*b**2/5 - 4*b + 48/5.
-2*(b - 2)*(b + 12)/5
Suppose -g**3/2 + 141*g**2 = 0. Calculate g.
0, 282
Factor 3*d**2 - 420*d + 14700.
3*(d - 70)**2
Find w such that 5*w**3 - 260*w**2 + 3625*w - 6250 = 0.
2, 25
Determine w, given that -w**3/2 + 57*w**2 - 222*w + 220 = 0.
2, 110
Factor -2*c**2/7 - 50*c + 352/7.
-2*(c - 1)*(c + 176)/7
Solve 16*u**2 + 12*u - 4 = 0.
-1, 1/4
Find u, given that 2*u**3/3 - 64*u**2 + 376*u/3 = 0.
0, 2, 94
Factor 4*q**2/7 + 5664*q/7 + 2005056/7.
4*(q + 708)**2/7
Factor -12*k**3/5 - 1154*k**2/5 - 5568*k - 4608/5.
-2*(k + 48)**2*(6*k + 1)/5
Suppose -14*j**5/3 - 17*j**4/3 + 34*j**3/3 + 13*j**2/3 - 20*j/3 + 4/3 = 0. Calculate j.
-2, -1, 2/7, 1/2, 1
Suppose -5*c**2 + 5650*c - 5645 = 0. Calculate c.
1, 1129
Suppose 2*v**2/13 + 3180*v/13 + 1264050/13 = 0. What is v?
-795
Determine f, given that 4*f**3/5 - 396*f**2/5 - 852*f - 2180 = 0.
-5, 109
What is i in i**2 + 62*i + 961 = 0?
-31
Factor -l**5/5 + 19*l**4 - 722*l**3 + 13718*l**2 - 130321*l + 2476099/5.
-(l - 19)**5/5
Determine k so that -5*k**5 + 5*k**4 + 20*k**3 - 20*k**2 = 0.
-2, 0, 1, 2
Let g**2/6 - g + 3/2 = 0. Calculate g.
3
Solve -4*i**2 + 1172*i - 1168 = 0.
1, 292
Solve -2*i**3/3 - 4*i**2 - 22*i/3 - 4 = 0 for i.
-3, -2, -1
Determine h, given that 10*h**5 + 98*h**4 + 1118*h**3/5 - 578*h**2/5 - 176*h - 40 = 0.
-5, -2/5, 1
Find h, given that 2*h**5/15 + 28*h**4/15 + 14*h**3/3 - 20*h**2/3 = 0.
-10, -5, 0, 1
Determine t so that -8*t**3/5 + 54*t**2/5 + 78*t/5 + 16/5 = 0.
-1, -1/4, 8
Factor 2*i**3/7 - 4*i**2 + 10*i - 44/7.
2*(i - 11)*(i - 2)*(i - 1)/7
Solve -3*u**5/2 - 72*u**4 - 513*u**3 - 1356*u**2 - 2907*u/2 - 540 = 0.
-40, -3, -1
Determine k so that 2*k**4/5 - 2*k**2 + 8/5 = 0.
-2, -1, 1, 2
Factor -x**2 - 7*x + 8.
-(x - 1)*(x + 8)
Factor 5*g**4/2 + 880*g**3 + 116160*g**2 + 6814720*g + 149923840.
5*(g + 88)**4/2
Let 160*g**4 - 220*g**3 - 185*g**2 - 30*g = 0. Calculate g.
-3/8, -1/4, 0, 2
Factor f**4/5 + 6*f**3/5 - f**2/5 - 6*f/5.
f*(f - 1)*(f + 1)*(f + 6)/5
Find o, given that -5*o**2 + 40*o - 80 = 0.
4
Let -3*m**3 - 30*m**2 + 51*m + 198 = 0. What is m?
-11, -2, 3
Find m such that 5*m**5/7 - 34*m**4/7 + 53*m**3/7 + 32*m**2/7 - 76*m/7 - 16/7 = 0.
-1, -1/5, 2, 4
Factor -y**3/3 - 11*y**2 - 85*y + 289/3.
-(y - 1)*(y + 17)**2/3
Factor -2*v**3/17 - 28*v**2/17 - 26*v/17.
-2*v*(v + 1)*(v + 13)/17
Suppose 3*j**5 + 267*j**4 + 264*j**3 = 0. What is j?
-88, -1, 0
Factor -5*o**4 + 45*o**3 - 115*o**2 + 75*o.
-5*o*(o - 5)*(o - 3)*(o - 1)
Solve -5*y**3 + 270*y**2 - 255*y - 530 = 0.
-1, 2, 53
Factor -5*y**4 - 110*y**3 - 625*y**2 - 940*y - 420.
-5*(y + 1)**2*(y + 6)*(y + 14)
Let -x**4 - 127*x**3 - 3831*x**2 + 13195*x + 16900 = 0. What is x?
-65, -1, 4
Solve -71*q**2 + 75*q - 4 = 0.
4/71, 1
Factor n**2/2 + 87*n + 7569/2.
(n + 87)**2/2
Factor -2*v**3 - 32*v**2 - 30*v.
-2*v*(v + 1)*(v + 15)
Factor 4*z**4 - 324*z**3 - 332*z**2 + 324*z + 328.
4*(z - 82)*(z - 1)*(z + 1)**2
Factor 2*c**3 + 628*c**2 + 48664*c - 99856.
2*(c - 2)*(c + 158)**2
Solve -3*a**2 - 267*a + 828 = 0.
-92, 3
Factor 25*s**5 + 80*s**4 - s**3 - 44*s**2 + 12*s.
s*(s + 1)*(s + 3)*(5*s - 2)**2
Factor 2*c**5 - 14*c**4 + 32*c**3 - 16*c**2 - 32*c + 32.
2*(c - 2)**4*(c + 1)
What is z in 4*z**3/5 - 96*z**2/5 + 336*z/5 - 64 = 0?
2, 20
Find u such that -3*u**5/2 + 333*u**4/4 + 867*u**3/4 + 45*u**2 - 87*u = 0.
-2, -1, 0, 1/2, 58
Factor -5*l**2 - 90*l.
-5*l*(l + 18)
Suppose -3*h**2 + 135*h + 1092 = 0. What is h?
-7, 52
Factor p**4/2 + 2*p**3 - 219*p**2/2 - 473*p + 3388.
(p - 14)*(p - 4)*(p + 11)**2/2
Factor -o**3 + 5*o**2 - 7*o + 3.
-(o - 3)*(o - 1)**2
Factor z**4/3 + 1111*z**3/3 - 1113*z**2 + 3341*z/3 - 1114/3.
(z - 1)**3*(z + 1114)/3
Suppose -3*w**2 + 39*w - 120 = 0. Calculate w.
5, 8
Determine t, given that 5*t**3 - 2330*t**2 = 0.
0, 466
Let j**5/2 - 3*j**4/2 - 5*j**3/2 + 15*j**2/2 + 2*j - 6 = 0. Calculate j.
-2, -1, 1, 2, 3
Solve -t**5/2 + 55*t**4/2 - 105*t**3/2 - 55*t**2/2 + 53*t = 0.
-1, 0, 1, 2, 53
Let -q**5/6 + 4*q**4 - 82*q**3/3 + 163*q**2/3 + 55*q/2 - 175/3 = 0. What is q?
-1, 1, 5, 14
Solve -4*x**4 + 18*x**3 - 14*x**2 - 12*x = 0.
-1/2, 0, 2, 3
Find f such that 4*f**3/5 + 64*f**2/5 + 316*f/5 + 96 = 0.
-8, -5, -3
Solve -l**5 + 6*l**4 = 0.
0, 6
Factor 2*s**3/13 - 1372*s**2/13 + 5464*s/13 - 5456/13.
2*(s - 682)*(s - 2)**2/13
What is n in -2*n**2 - 210*n - 208 = 0?
-104, -1
Find i, given that 2*i**2/5 + 508*i/5 - 518 = 0.
-259, 5
Let r**3 + 48*r**2 + 768*r + 4096 = 0. Calculate r.
-16
What is z in 3*z**4/5 + 16*z**3/5 + 26*z**2/5 + 16*z/5 + 3/5 = 0?
-3, -1, -1/3
Let -2*h**4 - 27*h**3 - 4*h**2 + 657*h - 324 = 0. Calculate h.
-9, 1/2, 4
Factor 21*d**2/5 - 351*d/5 - 102/5.
3*(d - 17)*(7*d + 2)/5
Find m such that m**4 + 11*m**3/3 - m**2/3 - 19*m/3 + 2 = 0.
-3, -2, 1/3, 1
Factor -n**2 - 96*n + 612.
-(n - 6)*(n + 102)
Suppose -11*h**5 - 179*h**4/4 + 237*h**3/2 - 223*h**2/4 - 10*h + 3 = 0. Calculate h.
-6, -1/4, 2/11, 1
Factor g**4/3 + 287*g**3/3 + 7277*g**2 + 176113*g/3 + 154568/3.
(g + 1)*(g + 8)*(g + 139)**2/3
Find b, given that -75*b**3 + 3085*b**2 - 410*b = 0.
0, 2/15, 41
Factor -3*l**3 - 21*l**2 - 42*l - 24.
-3*(l + 1)*(l + 2)*(l + 4)
Solve -v**2/6 + 8*v/3 - 8 = 0.
4, 12
Factor -5*h**2 + 5900*h - 1740500.
-5*(h - 590)**2
Factor -2*u**2/7 - 544*u/7 - 36992/7.
-2*(u + 136)**2/7
Let -3*g**3 - 12*g**2 + 3*g + 12 = 0. What is g?
-4, -1, 1
Let -h**2 - 24*h = 0. What is h?
-24, 0
Solve 2*m**4 + 96*m**3 + 90*m**2 - 188*m = 0 for m.
-47, -2, 0, 1
Factor -35*k**2 - 7200*k - 5125.
-5*(k + 205)*(7*k + 5)
Let 3*g**3 + 93*g**2 + 612*g - 1620 = 0. What is g?
-18, -15, 2
Factor 4*l**
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{
"pile_set_name": "DM Mathematics"
}
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2 - 4*c**2. Find the second derivative of h(n) wrt n.
140*n**3
Differentiate -13 - y**2 + 112*y**3 + y**2 - 99*y**3 with respect to y.
39*y**2
Let d(i) = -i**3 + 7*i**2 - 4*i + 2. Let k be (36/15)/((-6)/(-15)). Let p be d(k). Differentiate p*b**2 - 3 - 14*b**2 + 3*b**4 with respect to b.
12*b**3
What is the derivative of 2 - g - 2*g - g + g wrt g?
-3
Let q = 52 + -51. Let p(m) be the first derivative of 2*m - q + 0*m**3 + 2/5*m**5 + 0*m**4 + 0*m**2. Differentiate p(b) with respect to b.
8*b**3
Let r = -7 - -10. Differentiate -f + 0*f**r + f + 2*f**3 - 1 with respect to f.
6*f**2
Let z(i) be the second derivative of 33*i**5/20 + 13*i**4/12 + i**2 - 3*i - 8. Find the third derivative of z(x) wrt x.
198
Suppose -4*p = p - 30. What is the third derivative of -3*i**3 + p*i**3 - 5*i**2 + i**3 + 0*i**2 wrt i?
24
Let l(s) = 100*s**4 + 90*s**2 + 11. Let t(u) = 20*u**4 + 18*u**2 + 2. Let j(r) = -2*l(r) + 11*t(r). Find the third derivative of j(p) wrt p.
480*p
Let v be 8/5 + 2/5. What is the first derivative of v*p - 2*p - p - 2 - p wrt p?
-2
Differentiate 0*b**3 - 2 - 2*b**3 - 6*b**3 + 10*b**3 with respect to b.
6*b**2
What is the first derivative of 0*v**2 - 9*v**3 - 7 + 13*v**3 + 0*v**2 wrt v?
12*v**2
Let z(t) = -t - 1. Let b(n) = 2*n + 11. Let w(m) = m. Let s be w(-1). Let v(c) = s*b(c) - 6*z(c). What is the derivative of v(f) wrt f?
4
Suppose w = -t + 8, 0 = -3*w + t + 5 + 3. Suppose -5*p + 29 = 5*l - l, 0 = -w*p + 3*l + 17. Find the second derivative of 2*x + 0*x**5 - p*x + 2*x**5 wrt x.
40*x**3
Let c(q) be the first derivative of 53*q**6/6 + 52*q**3/3 + 10. Find the third derivative of c(d) wrt d.
3180*d**2
Let h = 4 - 2. Suppose 0 = h*n - n - 2. What is the first derivative of -1 - a**4 - n + 1 wrt a?
-4*a**3
What is the second derivative of -19*t - 3*t**2 + 644 - 644 wrt t?
-6
Find the third derivative of 6*p**4 + 2*p**4 - 6*p**4 + 3*p**4 + 4*p**2 wrt p.
120*p
Let f(q) = -q**3 + 7*q**2 + q - 5. Let r be f(7). Differentiate 121*d**2 - 2*d**4 - 1 - 121*d**r with respect to d.
-8*d**3
Let w(b) be the first derivative of b**5/5 - 4*b - 2. Differentiate w(h) with respect to h.
4*h**3
Let m(i) = -2*i - 5. Let n be m(-5). Suppose n*p = -0*p + 60. Find the first derivative of 11 - p + l + 0*l wrt l.
1
Suppose 4 = -2*b + 3*b. Let c be (b/(-12))/((-1)/6). What is the second derivative of -k - k + 4*k - k**c wrt k?
-2
Let i(r) be the third derivative of -4/3*r**3 + 0*r**6 + 4/105*r**7 + 0*r**5 + 0*r**4 + 0*r + 0 - 2*r**2. Differentiate i(b) with respect to b.
32*b**3
Let s(h) be the third derivative of -5*h**8/112 - h**5/4 + 8*h**2. Find the third derivative of s(k) wrt k.
-900*k**2
Let m(v) = 3*v**2 + 4*v. Let b(l) be the third derivative of -l**4/24 + l**2. Let k(w) = -6*b(w) - m(w). What is the second derivative of k(c) wrt c?
-6
Let v = -13 - -13. Let y(j) be the first derivative of 1/4*j**4 + v*j**2 + 0*j**3 - 1 + j. What is the derivative of y(l) wrt l?
3*l**2
What is the second derivative of -42*t**2 + t**2 + 4*t - 7 - 6 + 3 wrt t?
-82
Find the third derivative of -5*o**3 + 3*o**3 + 8*o**3 + 5*o**2 wrt o.
36
Let b(t) be the first derivative of -5*t**4/4 - t**2/2 - 2. Find the second derivative of b(h) wrt h.
-30*h
Let x(t) = -t + 1. Let v(z) = -z. Let p(d) = 5*v(d) - x(d). Differentiate p(l) with respect to l.
-4
Let n(y) = -7*y**5 - 2*y**2 + 4*y + 2. Let h(r) = -35*r**5 - 11*r**2 + 19*r + 11. Let x(w) = -2*h(w) + 11*n(w). What is the second derivative of x(a) wrt a?
-140*a**3
Find the third derivative of 21*z - 3*z**4 + z**2 - 2*z**5 + 2*z**4 - 23*z wrt z.
-120*z**2 - 24*z
Let k(n) = 0 - 3*n**2 + 5*n**2 + 5*n - 1 - n**2. Let x be k(-6). Find the second derivative of -5*z**5 + 5*z**5 - 2*z - 3*z**x wrt z.
-60*z**3
Let f(l) be the second derivative of 1/2*l**3 + 0 + 1/40*l**5 + 0*l**2 - 2*l + 1/12*l**4. Let v(a) be the second derivative of f(a). Differentiate v(k) wrt k.
3
Suppose 19 = 2*d - d + 4*l, -l = 2*d - 10. What is the first derivative of 2 + 2 - 2 + d*m wrt m?
3
Differentiate -2 + 0*q - 3*q + 7*q with respect to q.
4
Let a(d) = 23*d**3 + 9*d**2 - 2*d. Let w(h) = -300*h**3 - 117*h**2 + 27*h. Let q(l) = -27*a(l) - 2*w(l). Find the third derivative of q(f) wrt f.
-126
Let p be 3/5*(12 + -7). What is the derivative of -1 + 6 + s**p + 0 - 11*s**3 wrt s?
-30*s**2
Let a = 5 - 1. Let u be (4 - 3)*-3 + 9. Find the second derivative of v**a + 4*v**4 - v - u*v**4 wrt v.
-12*v**2
What is the third derivative of -5*f**4 + 5*f**4 + f**2 - 3*f**2 + 7*f**5 wrt f?
420*f**2
Suppose -3*l = -4*f + 14, -f + 3*l + 4 = -2*f. Let i be 2 + f/(-6)*-3. Differentiate 2*m**4 + i - 5*m**3 + 5*m**3 wrt m.
8*m**3
Let w(y) be the third derivative of 3*y**8/112 - y**5/10 + 3*y**2. Find the third derivative of w(d) wrt d.
540*d**2
Find the second derivative of 52*m**2 - m - 3*m**5 - 109*m**2 - 9*m**4 + 57*m**2 - 5 wrt m.
-60*m**3 - 108*m**2
Suppose -4*h + 9 = -g + 2, h - 1 = g. Find the third derivative of -4*c**6 - c**2 - c**h + 4*c**2 + 5*c**6 wrt c.
120*c**3
Let a = -5 - -2. Let f = a + 5. Find the second derivative of -f + 2 - k**4 - k - k wrt k.
-12*k**2
Let b = 1 - -1. Find the first derivative of -4*r - 2*r + 3*r + b + 1 wrt r.
-3
Let p(x) = 2*x**4 + 2*x**3 + 3*x**2 + 2. Let l(g) = 3*g**4 + 5*g**3 + 5*g**2 + 5. Let h(t) = 2*l(t) - 5*p(t). Find the third derivative of h(d) wrt d.
-96*d
Let d(f) = -f**3 + 4*f**2 + 2*f - 5. Let k be d(4). Find the second derivative of -3*p**3 + 4*p**3 - k*p + 0*p**3 + 2*p**3 wrt p.
18*p
Let q(n) = 3*n**5 + 5*n**3 + 11*n + 5. Let d(a) = 2*a**5 + 2*a**3 + 5*a + 2. Let v(s) = 5*d(s) - 2*q(s). Find the second derivative of v(o) wrt o.
80*o**3
Let c(a) = 16*a**3 - 11*a**2 + 11*a - 38. Let q(j) = -8*j**3 + 6*j**2 - 6*j + 19. Let h(w) = -6*c(w) - 11*q(w). What is the first derivative of h(b) wrt b?
-24*b**2
What is the derivative of 5 + f - 2*f**4 - f + 0*f wrt f?
-8*f**3
Let n = -2 + 3. What is the second derivative of c**5 - n + 1 + c - 4*c**5 wrt c?
-60*c**3
Let b(j) be the second derivative of 2*j**7/7 + 13*j**4/6 + 13*j. What is the third derivative of b(t) wrt t?
720*t**2
What is the third derivative of -5*h**2 - 10*h**5 - 14*h**3 + 14*h**3 + 3*h**5 wrt h?
-420*h**2
Let d(b) = -24*b**3 - 4*b**2 + 8*b - 8. Let r(q) = q**3 - q + 1. Let u(j) = d(j) + 8*r(j). Find the third derivative of u(l) wrt l.
-96
Let q be 85/(-20) - (-2)/8. Let a = 6 + q. Find the third derivative of u**2 + 0*u**6 - 2*u**a + u**6 wrt u.
120*u**3
Let g = 11 + -15. Let m be -2*(14/g - -2). Find the second derivative of -z + 0*z**3 - m*z + 2*z + 3*z**3 wrt z.
18*z
Let c(v) be the first derivative of -v**7/840 + v**5/30 + v**3 + 1. Let x(n) be the third derivative of c(n). What is the second derivative of x(h) wrt h?
-6*h
Let j(d) be the first derivative of d**6/72 - d**5/40 + 4*d**3/3 - 4. Let p(v) be the third derivative of j(v). What is the second derivative of p(k) wrt k?
10
What is the first derivative of -13 - 1027*s - s**2 + 1027*s wrt s?
-2*s
Let w(x) be the first derivative of x**6/30 - x**4/4 + x - 1. Let g(d) be the first derivative of w(d). Find the third derivative of g(c) wrt c.
24*c
Let u(t) be the first derivative of -2 - 5 + 2*t**3 + 7 + 3 - 6*t. What is the derivative of u(l) wrt l?
12*l
Let r(v) = 2*v**2 + 8. Let l(d) = -1. Let b(j) = -l(j) - r(j). What is the first derivative of b(t) wrt t?
-4*t
Differentiate -15*i**2 + 2*i**2 - i**2 - 2 wrt i.
-28*i
Let n = 42 - 37. Let g be 4/3 + (-8)/(-12). Find the first derivative of 2*o + g*o + 4 - n*o wrt o.
-1
Let t be 1*-2*(-5)/5. Find the third derivative of -3*w**5 + w**t + 2*w**2 - w**2 wrt w.
-180*w**2
Let n(o) be the second derivative of -o**6/30 + 2*o**4/3 + o. What is the third derivative of n(v) wrt v?
-24*v
Let v(y) be the third derivative of y**6/120 - y**5/30 + y**2. Find the third derivative of v(q) wrt q.
6
Let z(i) be the third derivative of -5*i**8/336 + i**4/12 - 2*i**2. Find the second derivative of z(l) wrt l.
-100*l**3
Find the second derivative of 4*d**3 - 5*d - 8*d**3 + 4*d**3 + 22*d**5 wrt d.
440*d**3
Let j(c) = c**5 + c**4 - c - 1. Let y(m) = 60*m**5 + 6*m**4 + 12*m - 8. Let o(u) = 6*j(u) - y(u). What is the second derivative of o(n) wrt n?
-1080*n**3
Let h(y) be the second derivative of 0 + 0*y**5 + 0*y**2 + 0*y**6 + 0*y**3 + 3*y + 1/12*y**4 + 1/21*y**7. What is the third derivative
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{
"pile_set_name": "DM Mathematics"
}
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1/6*o**4 + 0 + 0*o**3 + n*o. What is the third derivative of k(m) wrt m?
30
Let x(o) = 1667*o**4 + 10*o**2 + 26*o + 33. Let h(g) = 833*g**4 + 4*g**2 + 14*g + 16. Let q(y) = -5*h(y) + 2*x(y). What is the second derivative of q(c) wrt c?
-9972*c**2
Suppose 1 = m - 2. Let g = m + -1. What is the third derivative of 23*i - 3*i**2 - g*i**6 - 23*i + i**6 wrt i?
-120*i**3
Let y(u) be the third derivative of u**8/20160 + 5*u**6/144 + u**5/12 - 13*u**2. Let r(b) be the third derivative of y(b). What is the derivative of r(q) wrt q?
2*q
Let j = -59 + 59. Let u(n) be the first derivative of j*n**2 + 0*n**4 + 5 + 0*n**3 - 6*n - 2/5*n**5. Differentiate u(h) with respect to h.
-8*h**3
Let o = -8 + 12. Suppose -k = o*k. Differentiate -6 + c + 0 + 4 + k*c wrt c.
1
Let b(v) = -4*v**4 - 10*v**3 - 4. Let m(s) = 4*s**4 + 10*s**3 + 3. Let p(c) = -5*b(c) - 6*m(c). What is the derivative of p(g) wrt g?
-16*g**3 - 30*g**2
Find the third derivative of -37*o**3 - 61*o**2 - 35*o**3 - 16 + 72*o**3 + 15 + 429*o**6 wrt o.
51480*o**3
Find the first derivative of -24*u + 42*u + u**2 + 33*u - 149 + 0*u + 33*u wrt u.
2*u + 84
What is the derivative of 2*s**2 - 5*s**2 - 458 - 134 + 49*s**4 + 1643*s**3 - 1643*s**3 wrt s?
196*s**3 - 6*s
Suppose 4*i + 124 = -4*w, 115 + 56 = -5*w + 3*i. Let u = 35 + w. What is the second derivative of 3*q**2 - 5*q**2 + 2*q**u - 4*q**3 - 6*q wrt q?
-24*q
Let l(h) = -3*h**2 + 5. Let j(v) = -5*v**2 + 45*v + 82. Let d(r) = -j(r) + 2*l(r). Differentiate d(o) with respect to o.
-2*o - 45
Find the second derivative of 73*z**3 - 10*z + 134*z**3 - 27*z**3 + 1769 - 1766 wrt z.
1080*z
Suppose -5*u - 5*b = -15, 0*b + 15 = 3*u + b. Let h = u + 6. What is the third derivative of -c**2 + 13*c**2 - h*c**2 + 9*c**2 - 8*c**4 wrt c?
-192*c
Let x(d) = -1. Let u(f) = 17*f - 13. Let n(l) = 6*l + 23. Let y be n(-4). Let v(i) = y*u(i) + 2*x(i). What is the derivative of v(p) wrt p?
-17
What is the third derivative of -92*r**2 - 2*r - 65766*r**3 + 65892*r**3 + 4*r wrt r?
756
Suppose -3*m + u = -7, m + 4*m + 5*u - 5 = 0. Find the third derivative of -3*h**6 - 2*h**4 - 3*h**2 + m*h**4 wrt h.
-360*h**3
Let y(b) be the third derivative of -155*b**7/42 + 23*b**5/12 + b**3/2 - 2*b**2 - 257. Find the third derivative of y(f) wrt f.
-18600*f
Suppose -4*q + 8*q = 8. Find the second derivative of -55 + 12*d + 55 + 37*d**q wrt d.
74
Let z(x) = 216*x**2 + 5*x - 494. Let v(f) = -288*f**2 - 7*f + 660. Let c(n) = 8*v(n) + 11*z(n). Find the second derivative of c(y) wrt y.
144
Differentiate -414 + 47*y + 86 - 10*y - 2*y**2 - 181 + 33*y wrt y.
-4*y + 70
What is the derivative of -617*a**2 - 318 + 106 + 686*a**2 wrt a?
138*a
Let b(x) = x**4 - x**3 + x - 1. Let t(c) = 28*c**4 + 14*c**3 - 14*c. Let n(y) = 14*b(y) + t(y). What is the derivative of n(u) wrt u?
168*u**3
Let b = 96/5 - 19. Let g(y) be the first derivative of -1 - b*y**5 + 0*y**3 + 0*y**4 + 0*y**2 - 4*y. Differentiate g(n) with respect to n.
-4*n**3
Suppose -2*j = p + 3*p, p = -3*j. Let z(r) be the third derivative of 0*r**4 + 0*r - 6*r**2 + 1/30*r**5 + j - r**3. Differentiate z(x) wrt x.
4*x
Let k(v) = -171*v**3 + 126*v**2 - 54*v + 27. Let t(z) = z**2 + 2*z - 1. Let h(p) = -k(p) - 27*t(p). Find the third derivative of h(c) wrt c.
1026
Let p(u) = -3*u**5 - 104*u**4 - 193*u**2 - 3*u + 3. Let k(h) = h**4 - h**2 - h + 1. Let v(o) = 3*k(o) - p(o). Find the third derivative of v(l) wrt l.
180*l**2 + 2568*l
Suppose -2719 = -2*q - r, 0 = 3*q - 4*r - 2091 - 2015. What is the second derivative of 21*t**5 + 1373*t - 8*t**5 - q*t wrt t?
260*t**3
Let j = -6 + 10. Let m(q) = -q**3 + 6*q**2 - 8*q + 3. Let d be m(4). What is the third derivative of 0*c**3 + 6*c**j - 14*c**4 - 2*c**2 + 0*c**d wrt c?
-192*c
Let z(c) = -313*c**3 - 14*c**2 - 12*c - 6. Let s(b) = -b**3 - b**2 + 3*b + 1. Let g(w) = 4*s(w) + z(w). What is the third derivative of g(o) wrt o?
-1902
Let v(u) be the third derivative of -u**5/3 - 5*u**4/24 - 61*u**3/3 - 78*u**2. What is the first derivative of v(x) wrt x?
-40*x - 5
Let s(l) = 15*l**2 - 3*l + 1. Let o(d) be the first derivative of -5*d**3 + 2*d**2 - d + 15. Let q(t) = -3*o(t) - 4*s(t). What is the derivative of q(g) wrt g?
-30*g
Let w(r) = r**2 + 4. Let u be w(0). Let o(c) = c + 1 + 9*c**2 - 11*c**2 - 1. Let l(x) = x. Let y(p) = u*l(p) - o(p). Find the second derivative of y(s) wrt s.
4
Suppose -21*x + 20*x = -2. Suppose -5*a + 3*m + 32 + 5 = 0, 4*m = -x*a - 6. Find the third derivative of -6*q**a - 33 - 3*q**2 + 33 wrt q.
-360*q**2
Let t(c) be the first derivative of 61*c**5/5 - 479*c + 139. Differentiate t(x) with respect to x.
244*x**3
Let n(d) be the third derivative of d**5/60 - d**4/8 - d**3/6 - 3*d**2. Let w be n(-1). What is the first derivative of 26 + 2*f**4 - 24 + w*f**4 wrt f?
20*f**3
Let c(m) = m**3 - m**2 - m + 1. Let t(z) = -9*z**4 - 5*z**3 - z**2 - 4*z + 21. Let a(y) = c(y) - t(y). What is the second derivative of a(o) wrt o?
108*o**2 + 36*o
Suppose -2*x - 3*x = -115. Let y = 25 - x. What is the derivative of 8*n - 6*n - 2*n + n**y + 1 wrt n?
2*n
Let z(u) = 4*u**2 - 9*u. Let d(v) be the second derivative of v**4/3 - 3*v**3/2 + 7*v. Let k(a) = 3*d(a) - 2*z(a). What is the second derivative of k(l) wrt l?
8
Let t(k) be the third derivative of -k**6/72 + k**4/24 + 5*k**3/6 - 7*k**2. Let q(l) be the first derivative of t(l). What is the derivative of q(u) wrt u?
-10*u
Suppose -10 = 2*p, 3*z + 6*p - 4*p = 2. Suppose 4*j + q - 17 = 0, 12 + 3 = z*j - q. Find the second derivative of o**5 - o - o**4 + o**j + 2*o wrt o.
20*o**3
Suppose -2*b + 5 = -j, -b = b - 8. Find the third derivative of -j*g**5 - g**2 - 2*g**2 - 6*g**2 wrt g.
-180*g**2
Find the third derivative of 8*l**4 - 125*l**2 - 102*l**2 + 271*l**3 - 270*l**3 wrt l.
192*l + 6
Let y(t) be the first derivative of 1/4*t**4 + 4 + 0*t**3 + 0*t**2 - 22*t. Differentiate y(i) wrt i.
3*i**2
Differentiate -105 + 114142*a**4 - 34 - 114126*a**4 wrt a.
64*a**3
What is the second derivative of 65*y**2 - 17*y + 19*y + 31*y**2 wrt y?
192
Let i(j) be the third derivative of 173*j**6/60 - 7*j**5/30 + j**3/3 + 59*j**2. What is the third derivative of i(l) wrt l?
2076
Let c(p) be the third derivative of 37*p**7/210 + 23*p**3/6 + 269*p**2. What is the first derivative of c(v) wrt v?
148*v**3
Let a(q) be the third derivative of 0*q**3 + 0*q + 0*q**6 + 0*q**7 + 0 - 13/24*q**4 - 24*q**2 + 0*q**5 - 9/112*q**8. Find the second derivative of a(w) wrt w.
-540*w**3
Let i(m) be the second derivative of 53*m**8/56 - 59*m**4/6 + 301*m + 2. Find the third derivative of i(z) wrt z.
6360*z**3
Let z(x) be the third derivative of x**9/1512 - x**6/72 + 2*x**3 - 2*x**2. Let r(u) be the first derivative of z(u). Find the third derivative of r(y) wrt y.
120*y**2
Let r(y) be the first derivative of y**7/70 - y**6/90 + y**3/3 + 3. Let t(z) be the third derivative of r(z). What is the third derivative of t(q) wrt q?
72
Let s be ((-1)/(-2))/(6/12). Let b(f) = -f**2 - f. Let q(v) = 12*v**4 + 5*v**2 - 3*v. Let d(o) = s*q(o) + 5*b(o). Find the second derivative of d(h) wrt h.
144*h**2
Let d be 13 - -6 - 0/1. Let x = d + -16. Find the second derivative of 4*m**2 - 2*m**2 + 6*m + 5*m**2 - x*m**2 wrt m.
8
Let y(v) be the third derivative of -v**7/105 - 33*v**6/10 - 703*v**5/60 + 28*v**2. Find the third derivative of y(k) wrt k.
-48*k - 2376
What is the second derivative of -4*z**3 - 15*z + 5*z**2 - z**4 - 4*z**3 - 256*z + 8*z**3 wrt z?
-12*z**2 + 10
Let h(y) = 40*y**5 + 4*y**3 - 19*y**2 + 2*y. Let g(l) = l**5 - l**3 - l**2 - l. Let b(r) = -4*g(r) - h(r). What is the third derivative of b(v) wrt v?
-2640*v**2
Let c = 2143/3 - 712. Let s(f) be the first derivative of 6 + c*f**3 + 0*f + 2*f**2. Find the second derivative of s(i) wrt i.
14
Find the second derivative of -97*g + 86*g + 73*g**2 + 218*g wrt g.
146
Let a(o) be the first derivative of -15*o**6 - 187*o**2 + 423. Find the second derivative of a(h) wrt h.
-1800*h**3
Find the third derivative of 100*q**3 + 118*q**2 - 51*q**3 - q**3 wrt q.
288
Let r(o) be the third derivative of 13/60*o**5 + 2/15*o**6 + 12*o**2 + 0*o + 0*o**3 + 0 + 0*o**4. Find the third derivative of r(x) wrt x.
96
Let a(d) = -697*d**2 - 292*d - 35. Let z(j) = 349*j**2 + 145*j + 19. Let o(p) = -6*a(p) - 11*z(p). What is the second derivative of o(n) wrt n?
686
Let z be 15 - 2 - (-3 -
|
{
"pile_set_name": "DM Mathematics"
}
|
v. Give prob of sequence qzv.
1/35
Four letters picked without replacement from {x: 3, i: 1, h: 2, j: 1}. Give prob of sequence jxih.
1/140
Four letters picked without replacement from {y: 4, d: 3}. What is prob of sequence dydd?
1/35
Calculate prob of sequence tq when two letters picked without replacement from {q: 3, t: 7}.
7/30
Three letters picked without replacement from rwxsrwgv. What is prob of sequence wwg?
1/168
Calculate prob of sequence yys when three letters picked without replacement from ysysysysysss.
7/66
Four letters picked without replacement from {d: 1, p: 2, j: 4, a: 2, l: 1}. What is prob of sequence djaa?
1/630
Two letters picked without replacement from wwtwtwwnwnynyyw. Give prob of sequence yt.
1/35
Two letters picked without replacement from {o: 9, q: 11}. Give prob of sequence qq.
11/38
Calculate prob of sequence js when two letters picked without replacement from {j: 2, h: 13, s: 5}.
1/38
Three letters picked without replacement from {w: 5, q: 2, k: 5, i: 5, l: 2, m: 1}. What is prob of sequence wii?
5/342
Two letters picked without replacement from veatllqv. What is prob of sequence eq?
1/56
Calculate prob of sequence dgym when four letters picked without replacement from yymoyydzymyzogy.
1/2340
Three letters picked without replacement from fgdfh. Give prob of sequence dfd.
0
What is prob of sequence uaa when three letters picked without replacement from {w: 2, u: 5, a: 5, f: 1, x: 3, v: 4}?
5/342
What is prob of sequence ppg when three letters picked without replacement from xxggppxgxxpxxp?
3/182
Four letters picked without replacement from hhgtphgcgghgwgc. What is prob of sequence cghw?
2/1365
Calculate prob of sequence aa when two letters picked without replacement from hhahahh.
1/21
Calculate prob of sequence kkxv when four letters picked without replacement from kkkkkkvkkkxxxxkkxk.
11/1224
What is prob of sequence he when two letters picked without replacement from {l: 3, h: 6, e: 3, m: 3}?
3/35
Two letters picked without replacement from ejeveejqej. What is prob of sequence jq?
1/30
Three letters picked without replacement from {k: 1, j: 5, z: 2, y: 6, p: 1, u: 1}. What is prob of sequence yky?
1/112
What is prob of sequence puu when three letters picked without replacement from ppppuippiupupppbib?
5/408
What is prob of sequence ve when two letters picked without replacement from {r: 1, v: 2, e: 2}?
1/5
Calculate prob of sequence lll when three letters picked without replacement from {r: 8, l: 3}.
1/165
Three letters picked without replacement from {t: 6, n: 6}. Give prob of sequence nnt.
3/22
Calculate prob of sequence xrrx when four letters picked without replacement from {l: 2, r: 2, x: 4}.
1/70
Three letters picked without replacement from nffxntfnxfnt. What is prob of sequence xfx?
1/165
Four letters picked without replacement from {t: 1, g: 1, m: 7, v: 2, x: 5}. What is prob of sequence mvtt?
0
Two letters picked without replacement from {a: 1, s: 2, p: 4, y: 4}. Give prob of sequence ss.
1/55
Two letters picked without replacement from {d: 2, v: 1, p: 1}. What is prob of sequence dd?
1/6
Three letters picked without replacement from zmzzmz. What is prob of sequence zmz?
1/5
What is prob of sequence gq when two letters picked without replacement from {g: 1, p: 1, t: 8, b: 2, q: 6}?
1/51
Calculate prob of sequence qqn when three letters picked without replacement from qqqnssquqss.
2/99
Calculate prob of sequence mo when two letters picked without replacement from oaeofaaacecma.
1/78
Two letters picked without replacement from eryprbh. Give prob of sequence br.
1/21
What is prob of sequence xq when two letters picked without replacement from lxlllxqxllqlllqxll?
2/51
Three letters picked without replacement from {i: 15, r: 4}. Give prob of sequence rrr.
4/969
What is prob of sequence dd when two letters picked without replacement from {d: 5, r: 5}?
2/9
Calculate prob of sequence dvk when three letters picked without replacement from {k: 9, l: 1, v: 2, d: 2}.
3/182
Four letters picked without replacement from {s: 3, a: 13}. What is prob of sequence aaaa?
11/28
Two letters picked without replacement from vvvjjwdvjtvv. Give prob of sequence vw.
1/22
Two letters picked without replacement from wbwqwmwwbmwmwwq. What is prob of sequence qq?
1/105
Three letters picked without replacement from rddmdndmmd. What is prob of sequence mrn?
1/240
Two letters picked without replacement from gpdppddpapdpapppn. Give prob of sequence gp.
9/272
Four letters picked without replacement from fffdffffdffddddfffd. Give prob of sequence dffd.
77/1292
What is prob of sequence isr when three letters picked without replacement from {s: 2, k: 1, v: 3, i: 3, r: 1}?
1/120
Three letters picked without replacement from {j: 1, h: 1, d: 5, k: 4, z: 1}. Give prob of sequence ddk.
2/33
Four letters picked without replacement from qaqqqvxxvvqvaxsavxeq. What is prob of sequence aves?
1/7752
What is prob of sequence nwx when three letters picked without replacement from {b: 1, x: 1, s: 1, w: 6, y: 3, n: 6}?
1/136
Two letters picked without replacement from {j: 2, a: 1, b: 3, x: 1}. What is prob of sequence ax?
1/42
Two letters picked without replacement from {s: 1, o: 1, c: 3, i: 2}. Give prob of sequence oc.
1/14
Three letters picked without replacement from xehffffll. Give prob of sequence hhh.
0
Three letters picked without replacement from kdmawwamkddafw. What is prob of sequence wmw?
1/182
Calculate prob of sequence ng when two letters picked without replacement from {x: 2, g: 1, z: 2, n: 7, o: 6}.
7/306
Calculate prob of sequence kkkj when four letters picked without replacement from kjjajjkkkaaakakkk.
2/85
Two letters picked without replacement from iiaauxm. What is prob of sequence xu?
1/42
Two letters picked without replacement from {l: 1, x: 12, k: 3}. What is prob of sequence kl?
1/80
Four letters picked without replacement from {l: 4, r: 6, f: 2, m: 2, o: 1, s: 3}. Give prob of sequence rrlm.
1/306
Three letters picked without replacement from {t: 1, g: 9, o: 6, s: 2, v: 1}. What is prob of sequence ost?
2/969
Four letters picked without replacement from {s: 4}. Give prob of sequence ssss.
1
Two letters picked without replacement from {n: 2, p: 1, f: 1, o: 4, u: 2}. What is prob of sequence op?
2/45
What is prob of sequence ge when two letters picked without replacement from geegaeeeg?
5/24
Three letters picked without replacement from jeyxyxxyxx. Give prob of sequence xex.
1/36
Calculate prob of sequence wdw when three letters picked without replacement from tctcddccwcdtcdwdddw.
7/969
Four letters picked without replacement from fnnqfqfffnn. What is prob of sequence nfqq?
1/198
Four letters picked without replacement from ebbebbbbobnqnbnbeeb. Give prob of sequence eoqe.
1/7752
What is prob of sequence dy when two letters picked without replacement from xffdrdddyfxdffd?
1/35
What is prob of sequence tbn when three letters picked without replacement from rvrrtrrrrhhbrrrrhrn?
1/5814
Three letters picked without replacement from {y: 2, x: 1, r: 1, h: 2, w: 1, a: 2}. What is prob of sequence rxh?
1/252
Three letters picked without replacement from {f: 15, i: 4}. Give prob of sequence iii.
4/969
What is prob of sequence eb when two letters picked without replacement from {b: 1, e: 10, a: 4, c: 4}?
5/171
What is prob of sequence pzo when three letters picked without replacement from {o: 1, p: 1, z: 16}?
1/306
Three letters picked without replacement from {i: 2, u: 2, b: 2}. What is prob of sequence ibb?
1/30
Two letters picked without replacement from zzenheencz. Give prob of sequence ez.
1/10
Three letters picked without replacement from cwcecccccvcacciciw. What is prob of sequence wwc?
11/2448
Calculate prob of sequence gnd when three letters picked without replacement from gdudndududndbn.
3/364
Four letters picked without replacement from {l: 5, f: 1, y: 1, z: 1, o: 4}. Give prob of sequence olzo.
1/198
Two letters picked without replacement from lnzfznbvnvbl. Give prob of sequence nl.
1/22
Three letters picked without replacement from zpkkzpkk. Give prob of sequence kzz.
1/42
Three letters picked without replacement from ttiiztikwwkzpzw. Give prob of sequence zwt.
9/910
What is prob of sequence qhh when three letters picked without
|
{
"pile_set_name": "DM Mathematics"
}
|
51*n**2. Let p(c) = c**3 + 3*c**2 + 2*c. Let j be p(2). Suppose 2*k - 18 = j. Give k*h(i) + 2*g(i).
-3*i**2
Let y(v) = -21*v + 11. Let w(o) = -8*o + 11. Let z(l) = -4*l + 6. Let m(x) = -4*w(x) + 7*z(x). Let i be 10/(-8) - (-8)/32 - 1. Determine i*y(j) - 11*m(j).
-2*j
Let l(x) = 2*x - 1. Let v(t) = 171*t - 99. Determine 396*l(q) - 4*v(q).
108*q
Let x(m) = -2*m**2 + 4*m + 2. Let c be 0 + -1 + 0 - -1. Let i = c - 4. Let b(y) = y + 1. Suppose 572*r - 603*r + 31 = 0. Give i*b(v) + r*x(v).
-2*v**2 - 2
Let o(n) = n**3 + 5*n**2 - 5*n - 28. Let a be o(-5). Let i(y) be the first derivative of -2*y**3/3 + 3*y - 2. Let d(s) = -2*s**2 + 3. What is a*i(b) + 2*d(b)?
2*b**2 - 3
Let v(f) = 4*f + 4 - 4*f**2 + 3*f**2 - 2*f**2. Let c(y) = 5*y**2 - 7*y - 7. Let q be ((-18)/2)/(-3) - -6. Suppose -7*w + 14 = -q*w. What is w*v(p) - 4*c(p)?
p**2
Let k(y) = -6*y**2 - 91*y - 5. Let d(l) = -7*l**2 - 90*l - 6. Give 5*d(i) - 6*k(i).
i**2 + 96*i
Let o(k) = 385*k**3 + 6*k**2 - 30*k. Let j(f) = 321090*f**3 + 5005*f**2 - 25025*f. Give -6*j(p) + 5005*o(p).
385*p**3
Let j(w) = -w**2. Let p(k) = -2*k**3 + 41*k**2. Determine 3*j(b) - p(b).
2*b**3 - 44*b**2
Let k(s) = 4*s**3 - 5*s**2 - 8*s + 5. Let d(v) = -3*v**3 + 4*v**2 + 8*v - 4. Determine -5*d(r) - 4*k(r).
-r**3 - 8*r
Let f(j) = 2*j - 6. Let v(q) = 1. Let y(t) = -2*f(t) - 10*v(t). Let k(u) = 9*u - 4. Give 3*k(b) + 7*y(b).
-b + 2
Let u be -1 + (-1)/(4/8). Let n(x) = 3*x. Let a(l) = -l + 1. Let r(t) = 3*t - 2. Let z(j) = -2*a(j) - r(j). Calculate u*n(s) - 8*z(s).
-s
Let i(d) = -4*d + 3. Suppose 2*c = -5 - 11. Let r be (-9)/2*c/(-6). Let k(l) = 3*l + 4. Let x(g) = g + 1. Let h(p) = 2*k(p) - 7*x(p). Calculate r*h(a) + 2*i(a).
-2*a
Let p(g) = 761*g**3 + 5*g**2 - 3. Let l(t) = 381*t**3 + 2*t**2 - 1. Give -5*l(h) + 2*p(h).
-383*h**3 - 1
Let l(a) be the third derivative of -a**5/15 + a**4/24 + 2*a**2. Let d(t) be the first derivative of -t**3/3 - t + 395. Give 2*d(s) - l(s).
2*s**2 - s - 2
Let h(i) = -479*i**3. Let t(z) = 169089*z**3. Calculate -1413*h(p) - 4*t(p).
471*p**3
Let i(o) = -6*o**2 + 7*o + 10. Let z be 5 + -2*6/12. Suppose -z*s + 5*c = -48, 0*c = -3*c - 12. Let g(a) = 4*a**2 - 5*a - 7. Calculate s*g(u) + 5*i(u).
-2*u**2 + 1
Let x(w) = -w**2 - 1. Let m(p) = 6 + 19*p**2 + 0 + p - 12*p**2. Let y = 15 + -21. Give y*x(h) - m(h).
-h**2 - h
Let i(b) = -5*b**3 + 15*b**2 + 15*b. Let o(q) = -3*q**2 - 23*q - 5. Let m(n) = n**2 + 9*n + 2. Let f(s) = -5*m(s) - 2*o(s). Calculate 15*f(z) - i(z).
5*z**3
Let c(z) = 2*z. Let v(x) = x**2 + 14*x + 49. Let f be v(-9). Let s(i) = f*i - 6*i - i. Determine -5*c(u) - 3*s(u).
-u
Let d(a) = -3*a**3 - 5*a - 1020. Let g(j) = -j**3 - j - 2. What is -d(k) + 5*g(k)?
-2*k**3 + 1010
Let t(u) = -u**3 - u - 1. Let s(i) = 39*i**3 + 52*i + 52. Let v = 2443 - 2391. Determine v*t(r) + s(r).
-13*r**3
Let n(h) = -h + 71. Let w(x) = -x. Give n(z) - 4*w(z).
3*z + 71
Let x(v) = -48*v**3 - 27*v**2 + 27*v + 27. Let f(j) = -j**3 - 5*j**3 - 84 + 4*j + 88 - 4*j**2 - j**3. Determine -27*f(i) + 4*x(i).
-3*i**3
Let x(p) = p**2 + 0*p - 1 + 3 + p**2 + 6*p. Let c(w) be the second derivative of 4*w + w**2 + 5/6*w**3 + 0 + 1/6*w**4. Calculate 5*c(v) - 4*x(v).
2*v**2 + v + 2
Let q(n) = 177*n**3 - 6*n**2 - 6*n + 6. Let k(f) = -2*f**3 - f**2 - f + 1. Calculate -6*k(m) + q(m).
189*m**3
Let q(r) = -2*r**2 - 5*r. Let v(d) = d**3 + 9*d**2 - 6*d - 4. Let k be v(-9). Suppose 0 = 6*p - k - 10. Let u(j) = j**2 + j. Determine p*u(h) + 2*q(h).
6*h**2
Let q(h) = -48*h - 48. Let g(b) be the third derivative of -7*b**4/24 - 7*b**3/6 - 108*b**2. Calculate -27*g(t) + 4*q(t).
-3*t - 3
Let b(g) be the first derivative of g**4 + g**2/2 + 1448. Let f(y) = -5*y**3 - 2*y. Let x be (-4)/(-1)*(-2)/2. Give x*b(a) - 3*f(a).
-a**3 + 2*a
Let j = -30 - -39. Let y = 15 - j. Let s(u) = 7*u**2. Let p(n) = 8*n**2. Give y*p(v) - 7*s(v).
-v**2
Let v be -2 + (-3)/(3/(-13)). Let n(h) = 2 + 3 - 3 - 800*h + 799*h. Let f(c) = -6*c + 11. Give v*n(t) - 2*f(t).
t
Let h(r) = r - 1. Let w(b) = b**2 + 5*b - 9. Let u be w(-8). Suppose g + 18 = u. Let i(p) = 14 - 13 + 3*p - 5*p + p. Give g*i(c) - 4*h(c).
-c + 1
Let m(j) = -4*j + 26. Let f(w) = -9*w + 37. Let o(a) = -2*a + 8. Let t(l) = -f(l) + 4*o(l). Suppose -5*q - 73 - 7 = 0. Determine q*t(g) - 3*m(g).
-4*g + 2
Let p(q) = 28 - 6*q - q**3 + 22 + 22 - 67. Let k(z) = -5*z + 4. What is -5*k(i) + 4*p(i)?
-4*i**3 + i
Suppose 5*u = 3*f - 21 - 10, -6 = 2*f + 2*u. Let m(s) = s**f - 17 - s**3 + 8 + 8. Let y(a) = -2*a**3 + 2*a**2 + 3*a - 1. What is -m(h) + y(h)?
-h**3 + h**2 + 3*h
Let i(h) = -4*h**2 + 2*h + 4*h**3 + h**3 + 2*h. Suppose -3*r - l = 9, -6*l = -3*r - 7 - 2. Let a(b) = 4*b**3 - 3*b**2 + 3*b. Determine r*i(s) + 4*a(s).
s**3
Let d be 1 + -22 - -7 - -13. Let y(u) = -1. Let l(m) = 1. Let b(o) = -7*l(o) - 6*y(o). Let c(a) = 3*a - 3. What is d*c(j) + 5*b(j)?
-3*j - 2
Let k(n) = -5*n - 3. Let u(q) be the second derivative of -11*q**3/6 - 5*q**2/2 + 102*q + 1. Give 5*k(r) - 3*u(r).
8*r
Suppose -20 = -3*k + 8*k. Let j(x) = -x**2 - 4*x + 3. Let f(o) = -2*o**2 - 9*o + 7. What is k*f(n) + 9*j(n)?
-n**2 - 1
Suppose -5*a = -a + 16, -3*v = -5*a - 26. Let z(d) = -7*d - 1 + 7*d - 2 + v*d. Let y(k) = -2*k + 2. Give 5*y(o) + 4*z(o).
-2*o - 2
Let s(t) = 5*t**3 - 2*t**2 - 3*t - 15. Let p(c) = 4*c**3 - 2*c**2 - 4*c - 11. Determine 3*p(w) - 2*s(w).
2*w**3 - 2*w**2 - 6*w - 3
Let n(t) = t + 4. Let p(a) = -7*a - 12*a + 21*a + 4. Let b(d) = -6*n(d) + 5*p(d). Let y(s) = 8*s - 9. What is 5*b(m) - 2*y(m)?
4*m - 2
Let v(w) = 7*w**2 + w + 7. Let k(s) = s**3 + 45*s**2 - 39*s + 316. Let u be k(-46). Let a(t) = 13*t**2 + 2*t + 13. What is u*a(j) + 11*v(j)?
-j**2 - j - 1
Let s(t) = 8*t. Let r(h) = 7*h. Let k(q) = 7*r(q) - 6*s(q). Let v(m) = 13338*m - 13339*m + 2 - 3. Determine -5*k(i) - 2*v(i).
-3*i + 2
Let u(k) = -43*k**3 + 5*k**2 + 2*k + 5. Let o(p) = -42*p**3 + 6*p**2 + 3*p + 6. Determine -5*o(z) + 6*u(z).
-48*z**3 - 3*z
Let p(d) = -4*d**3 + d**2 + 24*d + 8. Let m(k) = -5*k**3 + k**2 + 25*k + 10. What is 3*m(i) - 4*p(i)?
i**3 - i**2 - 21*i - 2
Let h = -349 - -305. Let d(k) = 28*k**2 + 22*k. Let o(t) = 4*t**2 + 3*t. Calculate h*o(z) + 6*d(z).
-8*z**2
Let m(g) = g**2. Let x(r) = -8*r**2 - r - 47. Determine -4*m(t) - x(t).
4*t**2 + t + 47
Let o(l) = 75*l**2 - 9*l + 14. Let m(d) = -25*d**2 + 3*d - 5. Calculate 8*m(x) + 3*o(x).
25*x**2 - 3*x + 2
Let w(q) = 4*q**3 - 2*q**2 + 5. Let s(r) = -4*r**3 + r**2 - 4. Determine -4*s(y) - 3*w(y).
4*y**3 + 2*y**2 + 1
Let n(f) = f. Let k(x) = -x + 5. Determine -2*k(i) - 6*n(i).
-4*i - 10
Suppose 13 = -3*w + 1. Let i(p) = 11*p**2 - 13*p - 1. Let t(n) = 6*n**2 - 7*n - 1. What is w*i(z) + 7*t(z)?
-2*z**2 + 3*z - 3
Let h(d) = 20*d**3 + 5*d**2 + 4. Let y(u) = 18*u**3 + 5*u**2 + 3. Give 5*h(v) - 6*y(v).
-8*v**3 - 5*v**2 + 2
Let d(c) = -7*c**3 - 3. Let a(l) = 50*l**3 + 22. Let o(x) = -x**3 + 15*x**2 + 21*x - 74. Let z be o(16). Give z*a(j) + 44*d(j).
-8*j**3
Let c(p) be the first derivative of 3*p**2/2 - 3*p + 3. Suppose -42*b - 123 - 171 = 0. Let o(a) = a**2 + 7*a - 7. What is b*c(u) + 3*o(u)?
3*u**2
Let y be 8/(-10)*(-3 - -8). Let v(w) = w**3 - 4*w**2 + 2*w + 4. Let i(h) be the first derivative of -h**3/3 + h + 200. Determine y*i(s) + v(s).
s**3 + 2*s
Let r(k) = k - 5 + k**3 + 0*k**3 + 0*k**3. Let d(w) = w**3 - 1. Suppose 34*g = 41*g - 21. Suppose 0 = 4*f - 8, 3*f = -3*u + f + 1. Give g*d(s) + u*r(s).
2*s**3 - s + 2
Let r(i) = 580502*i - 1079. Let g(n) = -1077*n + 2. Calculate 1079*g(l) + 2*r(l).
-1079*l
Let u(g) = -19*g**3 + 9*g**2 - 15*g - 9. Let k(y) = -9*y**3 + 4*y**2 - 7*y - 4. What is -9*k(p) + 4*u(p)?
5*p**3 + 3*p
Let t(p) = -p - 1. Let g(x) = 9*x + 7. Suppose -2*d + 6 = 4*q, 5*q + 2*d + 3*d = 10. Give q*g(r) + 6*t(r).
3*r + 1
Let j(b) = 610*b**2 - 2440. Let u(f) = -1. Give j(i) - 2440*u(i).
610*i**2
Let u(l) = -27*l**3 - 5*l**2 - 5. Let x(q) = 132*q**3 + 24*q**2 + 24. Give -24*u(j) - 5*x(j).
-12*j**3
Let i be (17/34)/((-2)/(-4)). Let r(b) = -b + 1. Let c(o) be the third derivative of -o**4/12 - o**3/6 - 7*o**2. Calculate i*r(u) + c(u).
-3*u
Let x(z) = -3*z + 16. Let s(i) = -4*i + 17. Calculate 2*s(r) - 3*x(r).
r - 14
Let o(m) = -m**3 - 3*m**2 + 4. Let d(s) = -s**3 + s**2 - 1. Determine -5*d(c) - o(c).
6*c**3 - 2*c**2 + 1
Let b(k) = -k**2 - 1. Let r(s) = 9*s**2 - 2*s + 5. Let i(q) = -18*q + 60. Let y be i(3). Determine y*
|
{
"pile_set_name": "DM Mathematics"
}
|
p = -25/4 + 167/28. Let l = 4.2 - 4. Which is the closest to l? (a) 0.2 (b) 0.1 (c) p
a
Let i be 609/(-18) - (-1)/3. Let o = 33 + i. Which is the closest to -0.1? (a) 3 (b) 0.2 (c) o
b
Let q = -12/13 + 59/78. What is the closest to -2 in -0.3, q, 0?
-0.3
Let i(r) = -6*r**2 + 2*r + 2. Let a be i(2). Let d = -13 - a. What is the nearest to d in -3/4, 3, -3/7?
3
Let b = 177 - 178. What is the closest to b in 1/5, 1/2, -1?
-1
Let h = 29 - 40. Let v = 7 + h. Which is the nearest to 1? (a) v (b) 4/5 (c) 5
b
Let t = 1.22 - 0.02. Let d = -1 + t. Let m = d + -0.4. Which is the closest to m? (a) 0.4 (b) -3/5 (c) -3
b
Let g = 4.5 - 5. Which is the closest to -2/3? (a) g (b) -4 (c) 1
a
Let x = -5/194 - -2547/970. Let z = -81/35 + x. What is the nearest to z in -2, 1, 1/5?
1/5
Let i = -1 + 1. Let m = 82289/139 - 592. Let x = -698/417 + m. What is the closest to -1 in 5, i, x?
x
Let f(q) = 2*q - 10. Let n be f(7). Let c be (-10)/n*(-8)/70. What is the closest to 1 in -0.5, -1, c?
c
Suppose -14 = 3*i + 1. Let m(q) = -q**3 - 4*q**2 + 6*q + 4. Let u be m(i). Let o = -4.94 - 0.06. Which is the closest to u? (a) -3/8 (b) o (c) 1/2
a
Let z = -2.6 - -3. Let n = 12.3 + -12. Which is the nearest to 2/5? (a) z (b) n (c) -1
a
Let j be (-1)/(18/8)*3/(-2). Which is the closest to j? (a) -11/5 (b) -1 (c) -2/7
c
Let f = -1.4 + 1.2. Let p = f - -0.2. Suppose 0 = -3*g - 2*r + 6*r + 14, -2*r = 10. What is the nearest to p in g, 5, 0?
0
Let y = -1.9 + 2.3. What is the closest to 0 in -1/5, y, -0.1?
-0.1
Let l = -0.66 + 0.6. Let p = 5.06 + l. What is the nearest to 1/3 in p, -1/2, 2?
-1/2
Let y = -0.1 + 5.1. Let z = -5.1 - -3.1. What is the closest to 0.1 in 0.3, y, z?
0.3
Let j = 74 - 79.1. Let t = j + 0.1. What is the closest to 1 in 2/13, 0.1, t?
2/13
Let z be -2 + (-2 - (1 - 0)). Let o be (-2 - z) + 68/(-20). Let k = 3 - 2. Which is the closest to o? (a) -1 (b) k (c) 3/2
a
Let p = 6.96 + 0.64. Let c = p - 8. What is the closest to 2/3 in -1/2, -5, c?
c
Suppose a + 10 + 4 = -3*t, 0 = -5*t + 3*a - 28. Let d = -5 + 3. What is the closest to -1 in 2, d, t?
d
Let h = -171.4 + 171. What is the nearest to 0.1 in h, 22, 3?
h
Suppose 5*x = x + 4*z - 36, 3*x + 31 = -z. Let m be 2/x - (-126)/30. Which is the closest to -2/7? (a) m (b) 0 (c) 1
b
Let j = 70 - 70. Let w(a) = -a - 1. Let s be w(-2). Let u = 0.29 - -0.01. What is the nearest to 1/4 in u, s, j?
u
Let x = -247/40 - -29/5. Which is the closest to 0.3? (a) 0.1 (b) -5 (c) x
a
Let v(i) = i**2 + 5*i - 3. Let r be v(-5). Let h = r + 5. Suppose 0 = -3*s - h*s - 25. Which is the closest to -1? (a) 5 (b) s (c) -0.1
c
Let i be ((-2)/(-14))/(7/(-14)). Let y = 0.1 + 2.9. Let p = 5/4 + -33/20. Which is the nearest to i? (a) p (b) y (c) 1
a
Let y = 18 - 18. Which is the nearest to 0? (a) 9 (b) y (c) -2/9
b
Let z = -47 + 45.9. Which is the nearest to 2/7? (a) -5 (b) z (c) 5
b
Suppose 2*s + 4 = 4*i, 3*s + 2*i = 2 - 0. Let j be (-3)/6*s/2. Let p = -6/13 - -25/26. Which is the nearest to p? (a) 5 (b) -1 (c) j
c
Suppose 3*x + 1 = 4*x. Let g be (3 + 4)/((-3)/6). Let p be (-13)/70 + (-4)/g. What is the closest to 2/7 in -2, p, x?
p
Let f = 22 + -24. Which is the closest to 1/2? (a) 0 (b) -3 (c) f
a
Let f = 3 - 6. Let l = 14 + -10.5. Let w = -3 + l. What is the nearest to -1 in f, w, -0.2?
-0.2
Let s = -254/5 + 51. What is the closest to 0.1 in -1/5, s, -0.4?
s
Let u be 4/(-18) + (-2)/(-90). Let x be 6/(-24)*4/(-46). Let l = -233/138 + x. What is the nearest to -1 in u, -4, l?
l
Suppose -4*o - 126 = 3*g, 2*g = 4*o + 101 + 15. What is the closest to 1/4 in o, -0.3, 2/7?
2/7
Let c = 3 + -2.8. Let q = c + -0.6. Let r = 23.8 + -24. What is the nearest to -1 in -1, r, q?
-1
Let a = 0.58 - 0.08. Let r = -1.5 + a. Let w = 3.96 - -0.04. What is the nearest to r in -4, 2/19, w?
2/19
Let x = 4.8 + -0.8. Let o = -1/22 + -9/44. What is the nearest to o in -3/2, -1/10, x?
-1/10
Suppose 0 = -r - r - 4. Let k be 7/14 + 5/r. Which is the nearest to -1/3? (a) 0.6 (b) -4 (c) k
a
Let q = 1.6 + -6.6. What is the nearest to 8 in -2, q, 0?
0
Let f = -6 + 8. Let m be (-1)/(f*(-3)/48). Let j be (-1 + -1)/(3 + m). What is the nearest to 1/2 in -4, -1/4, j?
j
Let m = -6/47 - 76/141. What is the nearest to -1/6 in m, -0.2, -0.01?
-0.2
Let v = 132 - 131.8. What is the closest to 1 in -0.5, 1/3, v?
1/3
Let y be (-63)/(-351) - (-4)/26. Suppose -5 = -4*a + 3. What is the nearest to 1 in a, -1, y?
y
Let g = 5 - 6. Let c = 1.2 + g. What is the closest to -1/3 in -3, c, 1?
c
Let r(n) = n**3 + 2*n**2 - n + 4. Let i be r(-3). Which is the nearest to 3/2? (a) 2/5 (b) i (c) 3
a
Let y = 0.05 - 0.05. Let d = -22 + 156/7. Let z = 4.3 - 4. What is the nearest to d in z, 0.2, y?
z
Let i = 0.04 - 0.14. Suppose -3*y + 5*v - 20 = -0*v, 2*y + 4*v - 16 = 0. Let a be -1 + y + (-7)/(-3). What is the closest to i in a, 3, 1?
1
Let o = -142249/7 - -20152. Let s = o + 169. Let d = 0 - 0. Which is the closest to s? (a) 3 (b) -0.3 (c) d
b
Let v = -11.7 - -9.7. Which is the closest to 0.2? (a) v (b) 5 (c) 0.5
c
Let j = 9 + -13. Let k = -0.3 - -0.4. Suppose 0*z = 4*z. Which is the closest to k? (a) -3 (b) j (c) z
c
Let d = 0.04 + 0.26. Let z = -0.68 + 0.6. Let y = 5.08 + z. What is the nearest to -0.2 in 2/9, d, y?
2/9
Let p be 2/(-80)*-6 + 6/10. What is the nearest to 0.8 in -2/9, p, -2?
p
Suppose 3*v - 1054 = 2*v. Let r = v - 2063/2. Let h = 23 - r. What is the nearest to 0.1 in h, -2/5, -1/3?
h
Let p = -8 - -6. What is the nearest to p in 5/2, -2, 0.2?
-2
Suppose -2*q - 2 = -q. Which is the closest to 1? (a) 5 (b) q (c) -1
c
Let k = -1.9 + -20.1. Let f = k - -12. Let h = 5 + f. Which is the closest to 1/3? (a) h (b) -6/5 (c) 2/7
c
Let i = -0.3 + 0.2. Let u = 1 + -0.8. Let h = i + u. Which is the closest to -0.1? (a) h (b) -4/5 (c) 0
c
Let v = 4.5 - -0.5. Let n = -0.03 - -0.13. What is the nearest to -2/5 in v, n, -4?
n
Let q = 3.6 - 3.7. Which is the nearest to 0? (a) -0.5 (b) 2/9 (c) q
c
Let j = -20/3 - -103/15. Let y = 21.6 - 22. What is the closest to 0 in y, -3/7, j?
j
Let u = -0.6 + 1. Let r = -13 + 14. What is the nearest to r in -1/4, -0.1, u?
u
Let b be 4/18 - (-2)/18. Let f = -1.1 - -2.1. What is the nearest to 0 in -0.4, b, f?
b
Let l = 1.1 + -0.6. Let u = 7 - 10. Which is the closest to -0.01? (a) u (b) l (c) 5
b
Let y = 0.2 - 5.2. Let s = 6898/11 + -4398/7. Let u = -10/11 - s. Which is the nearest to u? (a) y (b) -2 (c) 5
b
Let z = 0.3 - 1.3. Let q be (-20)/(-110) - 26/22. Which is the nearest to q? (a) z (b) 0.5 (c) 0.1
a
Let r = -4.17 + 0.17. What is the nearest to -0.1 in 0.5, r, -3?
0.5
Let b = 1 - 3. Let n = 0.3 + 0.1. What is the closest to 0.2 in n, b, 0.1?
0.1
Let w = 44 - 42. Which is the closest to 0.1? (a) -1/10 (b) -1 (c) w
a
Let j = -49/2 - -23. Let l be ((-7)/(-70))/((24/(-15))/4). Which is the nearest to l? (a) -1 (b) 0.1 (c) j
b
Let z(h) = -4*h**2 + 1. Let l be z(-1). Let w = -39 - -43. Let k = 0 - -0.1. What is the nearest to k in -2, l, w?
-2
Let x be (-2 + (1 - -2))/(-1). Let l be (3 + 0)/(8/x). Let s = 1 - 1.3. Which is the closest to -1? (a) s (b) l (c) 3
b
Suppose 4*y = -2*t + 10, -t - 3*t + 20 = -4*y. Suppose l = t*l - 84. Let u be (l/30)/7*-2. Which is the closest to 4/5? (a) -5 (b) u (c) 0.5
c
Let n be (10/(-35))/((-18)/(-14)). Let f = -2 + 2. What is the closest to 2 in -5, f, n?
f
Let y be (3 - (15/6 + 0))/(-1). Let h = -0.6 - -0.6. Which is the closest to 1? (a) y (b) h (c) 5
b
Let u = -26/45 - 4/45. Let p = 26 - 26.17. Let h = p - 2.83. What is the closest to -0.2 in u, 2/3, h?
u
Let k be 28/(5/(20/8)). Suppose 4*p = 2*l + k, p + 5*l + 9 = -2*p. Which is the nearest to p? (a) -1 (b) 0.3 (c) -1/3
b
Let k = 0.6 - 0.3. Let g = 0.6 - k. Which is the closest to -1/2? (a) 4/5 (b) 2 (c) g
c
Let j be -2 + (-10)/5 - -2. What is the nearest to j in -0.1, -1/4, 0?
-1/4
Let m be 1 - (3 + (-26)/8 + 1). What is the nearest to m in 3, 0.3, -0.3?
0.3
Let t be (56/(-7) + 13)*(-2)/(-12). What is the nearest to -1 in -0.2, 2/15, t?
-0.2
Suppose 0 = 5*q - 0*q + 5. Let u be 0/(q/((-2)/2)). Let a = -0.5 + 0.7. What is the closest to u in a, -2/5, 4/3?
a
Let k be (27/12)/(2/8). Which is the closest to 0? (a) k (b) -0.2 (c) -0.4
b
Let l = 2714/171 + -143/9. Let u = -6
|
{
"pile_set_name": "DM Mathematics"
}
|
-1) + -7 + (-8 - -10)?
5
Evaluate 88/(-484)*22/(-4).
1
Calculate 3/(36/8)*(-9)/(-42).
1/7
Calculate 221/728 + (-2)/(-16).
3/7
What is -6 + 6 + ((-18)/(-15))/3?
2/5
1 - 4/2 - (-80 - -82)
-3
Calculate 19 - 16 - (-26)/(-8).
-1/4
(14/6 + -2)*(-2 + -1)
-1
Calculate (3 - (-7 - -9))*-3.
-3
Evaluate 3/(-6)*(-6)/(-3).
-1
10*(9/2)/9
5
Evaluate 28/(-315) - 12/90.
-2/9
Evaluate (51/(-85))/(12/30).
-3/2
-4 + 75/65 - 2/13
-3
What is the value of 5 - (-45)/(-24)*2?
5/4
What is the value of -6 + 1 + (-225)/(-36)?
5/4
Calculate -2 - 9/(-3) - (-2 - -3).
0
What is 6/(-27)*45/30?
-1/3
(-1)/((-2)/(-60)*-3*-2)
-5
Calculate 27/(-54) - (-9)/42.
-2/7
What is the value of 6/4 + 5 + 0 + -7?
-1/2
Evaluate (-10)/70*(-1)/(-1).
-1/7
Calculate -3 + 10 + 4/(-1).
3
What is the value of (-49 - -48)/(14/12)?
-6/7
(9 - 3)*(-7 + (-253)/(-33))
4
Evaluate 3 - ((-2)/14 + 206/70).
1/5
Evaluate 1/(-3)*4*5/20.
-1/3
Evaluate (-32)/(-54)*23/(736/(-24)).
-4/9
What is the value of 9 + -9 + 2/(-9)?
-2/9
What is the value of (4 - (-14)/(-4)) + 0?
1/2
(-20)/(-48)*(-1 - -9)*3
10
(-7 - 1) + -5 + 13
0
What is the value of ((-2 - -4) + -10)/1?
-8
Calculate (22/(-70) + 6/(-21))*-5.
3
66/(-14) - (-3)/(126/(-12))
-5
(238/49 - 4)/(2/7)
3
Evaluate (4/32)/((-2)/(-4)).
1/4
What is the value of -8 + (-7)/((-56)/24)?
-5
What is -5 + ((-48)/48 - (-1 + 5))?
-10
Evaluate ((-3)/18)/(19/(-114)).
1
What is (-63)/90 - 10/(-10)?
3/10
Evaluate (-707)/(-202) - (-42)/(-4).
-7
What is the value of 9/3 - (-2 + 7)?
-2
Evaluate ((-62)/(-372))/(((-10)/(-3))/(-2)).
-1/10
What is (1/(-4))/((-12)/(-16))?
-1/3
Evaluate (-38)/40 + 5/25.
-3/4
What is ((-40)/8 - -5)/(-1)?
0
9/((-5445)/(-352)) - 2/5
2/11
What is the value of ((-161)/21 - -11)/(1 - 3)?
-5/3
What is (-4)/(-9)*36/4?
4
Evaluate 9/(-6)*290/87.
-5
What is (-2 + -5 + 2)*(-12)/(-90)?
-2/3
(-120)/322 + (-14)/(-49)
-2/23
What is ((-2)/3)/(152/(-1140))?
5
((-12)/8)/(-1*(-28)/(-8))
3/7
What is -3*(-2)/18 - (-16)/6?
3
What is the value of (3 - (-1 + -1 + 5))/1?
0
(28/(-588))/((1/6)/(-1))
2/7
Evaluate (-234)/(-819) + (-5)/(-7).
1
Evaluate 27/7 + 14/(-7) + -2.
-1/7
Evaluate -12 + 9/(27/21).
-5
Evaluate (-2*2)/((-11)/(-11)).
-4
Evaluate (((-264)/(-55))/(-24))/((-4)/30).
3/2
Evaluate 10 - ((-174)/(-18) - 0).
1/3
What is the value of 45/(-7) - -6 - (-15)/(-63)?
-2/3
What is the value of (314/785)/(1/(-15))?
-6
Evaluate ((-4)/(-10))/(14/175).
5
Evaluate 26/22 + 8/(-44).
1
(-86)/(-18) + -10 + (7 - 2)
-2/9
Evaluate 27 - 18 - (0 + 5).
4
What is the value of 8/(-10)*(-6)/(108/15)?
2/3
What is (4 - (-76)/(-18))/((-2)/3)?
1/3
What is the value of (-16)/(-20) + (1 - 2)?
-1/5
Evaluate 15/17 + 64/544.
1
((-5)/(-2))/((-55)/(-44)) - 4
-2
Evaluate -9 + 25/15*3.
-4
(-6 + 88/12)*4/16
1/3
(2/20)/(-39 - -38)
-1/10
(-18)/7*(-5 + (-203)/(-42))
3/7
What is the value of 7/(63/(-4)) - 2/(-9)?
-2/9
What is the value of 2/(-6) - ((-1045)/(-15))/(-11)?
6
What is the value of (-392)/(-35) - (-1 + 12)?
1/5
Calculate ((-4)/2)/(-5 + 7).
-1
What is 24/(-20)*100/(-40)?
3
Evaluate (-1)/(((-21)/12)/(-7)).
-4
What is 54/(-12)*(-40)/(-45)?
-4
What is the value of 13 - 279*1/21?
-2/7
What is the value of -4 + 0 - (20 - 27)?
3
What is 8/5*(-5)/2?
-4
Evaluate (-7 - (-2 - -2)) + -32 + 31.
-8
What is (-2)/15*(-2)/((-20)/15)?
-1/5
(-51)/(-15) + -2 - 8/20
1
What is (6/28)/(9/(-6) - -1)?
-3/7
What is (38/(-114))/(1/9)?
-3
Calculate 7 - 8 - (-18)/(-32)*-2.
1/8
Evaluate 30/9*(-60)/50.
-4
Calculate -5 + ((-21)/6)/((-5)/10).
2
What is the value of 224/56 - 2*(-1 + 2)?
2
What is (-9)/189*(-3 + (7 - 2))?
-2/21
What is (1 + 18/(-12))*4?
-2
What is 96/(-624) - (-18)/(-52)?
-1/2
Evaluate (-2 + 4)/((-24)/9).
-3/4
15*((-1)/(-1) + (-16)/12)
-5
Evaluate (-12)/9*(17 - 14).
-4
(3/(-4))/(14/(-56))
3
What is 6/4 + (-84)/56?
0
Calculate (-3)/(-9) - 5 - (-15 - -11).
-2/3
Calculate (5 - -1) + 78/(-6) + 8.
1
Evaluate 1/(-1)*-25*4/(-60).
-5/3
What is the value of ((-22)/(-176))/(((-21)/4)/(-7))?
1/6
1*-9*(-8)/684
2/19
What is the value of ((-4)/(-16))/(-3 - -4)?
1/4
Evaluate -5 + 5/((-25)/(-10)).
-3
3/(-9) + 171/27
6
What is 3051/(-565) + (-4)/(-10)?
-5
What is (168/147)/(1/(-7))?
-8
((-12)/(-36))/(2/(-18))
-3
-4*(-143)/468 - (-2)/(-9)
1
(-32*(-10)/(-20))/(-2)
8
(-15 - -21)*1/(-20)
-3/10
Evaluate (15/(-825))/((-3)/30).
2/11
Calculate ((-2)/(-8))/((-11)/(-8)).
2/11
Calculate (12/10 + (-2)/10)*5.
5
What is ((-7)/14)/(1/6)?
-3
What is the value of (11/(-3) - -2)/((-10)/6)?
1
884/1530 + (-2)/(-9)
4/5
What is the value of (-12)/40 + (-160)/(-200)?
1/2
What is the value of (2 + 36/(-16))*2?
-1/2
What is the value of 45/(-24) + 1*(-1)/8?
-2
215/(-129)*(-1 + -2)
5
Calculate (-18)/72 + (-11)/4 - 0.
-3
Calculate (-2)/4*2*-1.
1
Evaluate (5*11/(-440))/((-1)/(-4)).
-1/2
What is the value of ((-36)/(-15))/(6 + 56/(-10))?
6
What is (-7 - 2) + (-12 - -20)?
-1
(0 + 2)/((-14)/56)
-8
Evaluate 12/78 - (-37)/13.
3
Evaluate 66/(-627) + (-29)/(-95).
1/5
Evaluate ((-8)/(-14))/((27/(-21))/3).
-4/3
What is 32/(-12) + 3 + 154/(-21)?
-7
Calculate (672/18)/(-8) + 5.
1/3
What is ((-12)/(-20))/(18/(-4))?
-2/15
Calculate (-289)/(-136) - 3/24.
2
Calculate 8/(-36) + (-112)/(-18) + -1.
5
Calculate 6/4*140/(-945).
-2/9
Calculate 4 + (-212)/56 + (-2)/(-7).
1/2
1 + 3 - (-9 - -17 - 6)
2
What is (-2)/(-19) - (-730)/(-1520)?
-3/8
What is ((-8)/(-30)*-3)/((-2)/(-15))?
-6
What is the value of -3*130/234 - (-3 + 0)?
4/3
Calculate (-9)/(-30)*5 - (-62)/(-36).
-2/9
What is (-1)/7*(-560)/(-1440)?
-1/18
What is ((-4)/(-8))/(((-3)/(-2))/(-1))?
-1/3
142/14 + -5 - 5
1/7
6/4*(-24)/(-54)
2/3
(-9 + 1)*215/172
-10
What is 1/1*(4 + 8 - 11)?
1
Evaluate (-33)/(-30) + (-9)/15 - 1.
-1/2
Calculate (-2)/(-7) + ((-396)/(-84) - 0).
5
Evaluate (-500)/6375*3/2.
-2/17
What is the value of (-18)/(-35) - -18*(-10)/225?
-2/7
1/(-11) + (-52)/(-88)
1/2
7/((-21)/24) - 36/(-9)
-4
Calculate (45/(-30))/((-6)/4).
1
What is 18/(-6)*(-6)/27?
2/3
Calculate ((-8)/150 - 0)/((-2)/(-5)).
-2/15
(12/(-180) - 0)/(2/(-12))
2/5
Evaluate 3/((-39)/91) + (0 - -1).
-6
What is the value of (-23)/(-46) + (-2)/(-4)?
1
Calculate 5 - 6/4 - (3 - 2).
5/2
Calculate -2 - (-93)/24 - 2.
-1/8
Calculate 19/2 + -6 - 6/(-4).
5
What is -12 - 20/(-48)*26?
-7/6
What is the value of ((-100)/(-40))/((6/4)/(-3))?
-5
Evaluate (-4 + 33/6)*(-2)/3.
-1
4/(-12)*(-12)/(-14)
-2/7
(0 + 3/(-3))/((-50)/250)
5
(-87)/9 + (8/3)/(-8)
-10
What is (4/12)/((-1)/(-9))?
3
What is the value of ((-606)/404)/((-2)/(-4)*1)?
-3
(42/(-45) - (-21)/(-15)) + 3
2/3
What is (-3*1/(-18))/(8/(-32))?
-2/3
(71/(-1846))/((-1)/(-2))
-1/13
-15 - (-180)/9 - (10 - -1)
-6
((-2)/(-20)*-1)/(1/4)
-2/5
Calculate 315 - 309 - (-1 + (-94)/(-14)).
2/7
What is 0 + -6 + (-5 - -9)?
-2
Evaluate -9*(-6)/108*(1 - 11).
-5
What is 30/(-6) - -4 - 6?
-7
What is (54/(-12))/9 + 22/12?
4/3
Calculate 1/(-7) - (-336)/(-49).
-7
6*1 + (-12 - -60)/(-4)
-6
Evaluate (-2)/(-7) + -2 + 96/(-42).
-4
What is (-4)/(-3)*39/(-26)?
-2
(-1)/(-6)*(-12)/(-18)
1/9
What is (-12)/(-42) + (-72)/154?
-2/11
((-2)/6 + 1)/((-56)/252)
-3
Calculate 300/84 + (-12)/(-56)*2.
4
Evaluate (-1104)/462 + 2/(-11) - -3.
3/7
Evaluate 2/(-7) + 3 + 360/(-112).
-1/2
What is the value of 624/(-240) + (-51)/15 + 3?
-3
Calculate 18/(-75)*(-20)/(-8)*1.
-3/5
Calculate 0/(-5*(-2)/5).
0
What is the value of 46/(-69) - (-40)/42?
2/7
Evaluate (-36)/(-105)*126/(-27).
-8/5
What is the value of 201/134 - (-6)/(-8)?
3/4
Calculate ((-80)/(-600))/(0 - 2/9).
-3/5
What is 3/(1 + -2) + 6270/2166?
-2/19
(-75)/350*(-4)/(-3)
-2/7
Calculate ((-14)/(-6) + -2)*72/16.
3/2
(-156)/260*(0 - (-4)/3)
-4/5
Evaluate 429/(-168) + 2 + 6/14.
-1/8
(8/24)/(3/27*1)
3
(-4)/(-14) - 16/7
-2
Calculate (279/27 - 10)*-6.
-2
What is the value of (-273)/(-49) + 4/(-7)?
5
(-4)/6 + (-783)/(-81)
9
(18/(-8))/((-42)/(-168))
-9
Calculate 15/(-9) - (-145)/58.
5/6
Calculate ((-2)/(-4))/(1/((-12)/2)).
-3
What is the value of (76/12 + -6)*(-1 - 20)?
-7
What is the value of ((-1)/(-3))/((-53)/795)?
-5
What is (66/75)/11 - 692/(-100)?
7
What is the value of (-1)/5 - (-441)/105?
4
(-4 - -5)/((-10)/(-6))
3/5
What is 3/(-5)*(-40)/6?
4
Evaluate 2/(-2)*(-5 + -5)/10.
1
Calculate 36/24*(28/(-12) + -1).
-5
Calculate (-8)/148 + 3580/(-2220).
-5/3
What is (-32)/104*(-4)/(-8)?
-2/13
What is (-3)/(-7) + ((-1728)/112 - -15)?
0
Evaluate 1*0/(-3 - (-10 - -2)).
0
Calculate (2/4)/(1/(-8)*1).
-4
What is the value of 124/(-31)*(-1
|
{
"pile_set_name": "DM Mathematics"
}
|
and a?
60
Suppose 3*t - 308 = 2*t. Suppose -28*v - t = -35*v. Calculate the lowest common multiple of v and 32.
352
Suppose 5*z + 18 + 7 = 2*h, 5*h - z = 97. Let p(g) = 11*g + 19. Let y be p(-8). Let v = y + 73. Calculate the lowest common multiple of h and v.
20
Calculate the least common multiple of (-57 - 3)/(-2)*6/(432/60) and 520.
2600
Let k = 2978 - 148917/50. What is the common denominator of (-1390)/(-225) - 48/8 and k?
450
Let c = 4789/12 - 398. Find the common denominator of 39/140 and c.
420
Let k be -4 + -1 - 1161230/(-200). Let s = -5799 + k. Find the common denominator of s and -59/48.
240
Let w = -14883 + 1696751/114. What is the common denominator of w and 19/42?
798
Let q = -1/989 + 10886/6923. Let o = -19/21 + q. What is the common denominator of o and -26/19?
57
Let n(f) = -f**3 + 2*f**2 + 3*f - 3. Let u be n(2). Calculate the smallest common multiple of 18/(-2)*(-5 - -4) and -1*(u*-32 + 3)*1.
279
Let b = -3490709/32226 - -13300/123. Calculate the common denominator of -79/12 and b.
1572
Let d = -202 - -212. Calculate the least common multiple of (0 - (-56)/d)/(64/160) and 77.
154
Suppose 5*i + y = 69, 5*i - 65*y = -68*y + 67. Calculate the lowest common multiple of 1268 and i.
8876
Calculate the common denominator of 771/11856 - (-68)/(-442) and 41/52.
3952
Suppose -15 = -18*s + 17*s - k, 0 = -4*s - 2*k + 54. Calculate the smallest common multiple of s and 120.
120
Suppose -5*b - 31*b + 72 = 0. Suppose -5*v + 50 = -15. What is the lowest common multiple of v and b?
26
Let i = -2/10933 - 120245/98397. Find the common denominator of i and 32/3.
9
Suppose -n - 3*t = 5, -t + 4*t = 3*n + 3. Let a be (5/n)/((-20)/(-8) - 3). What is the least common multiple of 27 and 1 + (5 - a) - (-2)/1?
27
Let d = -7423 + 378554/51. Calculate the common denominator of d and 19/66.
1122
What is the lowest common multiple of 2073 and (-328)/(-10) - (5/225 + 14/(-63))?
22803
Let c be 15/20 + (-37734)/(-6800). Let x = 3/3400 + c. Let b = -199/4 + 1079/20. Find the common denominator of b and x.
10
Suppose 2564 = 4*p + 4*w, 6 = -148*w + 149*w. What is the least common multiple of 4445 and p?
4445
Let i = -2 + 0. Calculate the common denominator of (160/192)/((-24)/(-336)) and i/((-36)/(-41)) + 0.
18
Calculate the smallest common multiple of (-8)/14 + (-25730)/(-35) + (-54)/(-126) and 441.
2205
Suppose -17*y + 9709 = -1001. Calculate the least common multiple of 90 and y.
630
Let v(f) = -f**3 + 10*f**2 + 12. Let g(h) = -2*h**3 + 3*h**2 + 3*h - 4. Let r be g(4). Let b = r + 88. Calculate the least common multiple of v(10) and b.
48
Let p be 2463/(-6)*351/(-65) - -6. Let w = 2228 - p. What is the common denominator of -23/20 and w?
20
Let t(p) = -1405*p - 5472. What is the smallest common multiple of 148 and t(-4)?
148
Suppose -2*d - 1315 = -5*o + 4437, 2*d = -o + 1148. What is the lowest common multiple of o and 1035?
10350
Suppose -2*s - 3*s = -5*f + 145, -f + 37 = -5*s. Suppose -f = -3*u + 93. What is the lowest common multiple of 5 and u?
40
Let p = 15321 + -15319. Calculate the smallest common multiple of p and -5*(24/(-10) + -2).
22
Let b be (0 - 312/(-30)) + (-2)/5. Suppose -b*n + 7*n = 3*w - 27, 0 = -4*w - n + 36. What is the least common multiple of w and 5?
45
Let z = -7012 + 1009621/144. Find the common denominator of z and 7/9.
144
What is the smallest common multiple of 350 and 1746/10 + ((-576)/(-90))/16?
350
Let n = -15415 - -17519. What is the lowest common multiple of 526 and n?
2104
Let f = 535 + -750. Let w = -206 - f. What is the smallest common multiple of w and 3?
9
Let y(k) = 4*k**3 + 14*k**2 + 43*k - 145. Calculate the lowest common multiple of 15 and y(7).
11070
What is the common denominator of 47/160 and (-1377)/(-6160) + 38/133*3/(-6)?
1760
Let t(r) = -r**2 + 8*r + 20. Let o = 8 - 2. Let n be t(o). Let y = -30 + n. Calculate the lowest common multiple of 14 and y.
14
Let q(c) = -2*c**3 - 47*c**2 - 25*c - 37. What is the smallest common multiple of q(-23) and (9/3)/((-1)/(-9))?
27
Suppose 0 = 5*m + 5, m = -5*t + 19 - 5. Let w(x) = -2*x**2 - 76*x + 4181. Calculate the smallest common multiple of t and w(30).
303
Let u be 6/(-3) - 1943734/(-1085071). Let n = u + 50/437. Calculate the common denominator of n and 83/4.
764
Suppose -5*c - 1588 + 596 = -4*h, 0 = -3*h - 6. What is the common denominator of ((-44)/c)/((-18)/390) and 22/21?
210
Let b(j) = -j**3 + 7*j**2 - 4*j - 8. Let q be b(6). Let u(p) = 19*p**2 - p - 2. Calculate the lowest common multiple of (-120)/(-10 + q) + 2/(-1) and u(-1).
18
Let w = -19283531/480 - -40174. What is the common denominator of -149/132 and w?
5280
Suppose 18 = -6*v + 15*v. Let p(c) = -c - v*c + 19 + 0*c + 4*c. What is the lowest common multiple of p(-11) and 2?
8
Let p be (-111)/(-8) + (0 - (-2)/16). Suppose -20*b = -p*b - 132. Calculate the lowest common multiple of b and 24*4/(32/6).
198
Let s = -216 - -427. Let u = s - 181. What is the least common multiple of u and 12?
60
Let j(z) = -z**2 + 21*z - 24. Let s be j(9). What is the common denominator of -55/4 and (-12)/s*(-4)/(-16)?
28
What is the common denominator of 83/1630 and (15/((-270)/(-24)))/(-2) - (-21345)/32274?
17930
Find the common denominator of 1/710 and (-15)/18 + (7032/2769 - 25/15).
9230
Let p = -5943583/175 + 33963. Find the common denominator of ((-345)/(-25))/(16/(-10)) and p.
1400
Let l = 317/40 - 19/5. Find the common denominator of l and 95/8572.
17144
Suppose -c + 178 = 2*g, -149 = -5*g - c + 290. Let u = -78 + g. Suppose d - 3 = u. Calculate the least common multiple of d and 12.
12
Let n(r) = r**3 + 5*r**2 + 3*r - 8. Let v be n(-4). Let m be -120409*(-4)/(-139296) - v. Let z = 1/1451 - m. Calculate the common denominator of z and -50.
24
Let x = -14801 - -8381. Let f = 9223651 + -110760775/12. Let r = f - x. What is the common denominator of -43/3 and r?
12
Let w = 476111/23610 + 4/3935. Let x = 7344 - 117417/16. Calculate the common denominator of w and x.
48
Let w = 45753 + -4392415/96. What is the common denominator of w and -61/12?
96
Let r = -1378 - -2665/2. What is the common denominator of 109/10 and r?
10
Let h = 41/45 + -7/5. Let x = -9691 - -193859/20. Find the common denominator of h and x.
180
Let y = 26301 + -788921/30. What is the common denominator of -49/90 and y?
90
Let t = -47779/6036 - 1/1006. Find the common denominator of t and 293/(-80) - (27 + 6916/(-260)).
48
Let y(r) = 2*r**3 + r**2 + 11. Let p be y(-3). What is the common denominator of -101/32 and (-9130)/(-4760) - 4/p?
224
Let z = 11501/1249828 - -36/1871. Find the common denominator of z and 83/22.
7348
Let s(v) = -3*v - 2 - 2*v - 3*v - 4 + 4*v. What is the smallest common multiple of s(-6) and 12?
36
Let k(i) = 168*i - 801. Calculate the smallest common multiple of 813 and k(5).
10569
Suppose -200*d + 194*d + 420 = 0. Suppose -51 = -4*v + 33. Calculate the lowest common multiple of d and v.
210
Let m = 5229 + -20833/4. Let g = -12429 - -124169/10. Find the common denominator of g and m.
20
Let u(p) = 4*p**2 + 209*p - 3285. What is the least common multiple of u(14) and 2635?
13175
Let x = -18727/3220 - -553/115. Calculate the common denominator of x and 101/118.
8260
Let f = 3164 + -3126. Calculate the least common multiple of 165 and f.
6270
Let a = -172861 + 39066489/226. Calculate the common denominator of -15/8 and a.
904
Let w be 3 + 8*(-4 + 1 + 2). What is the common denominator of -26/33 and w + 4 + 49/9?
99
Let n = 1329565/16 + -83101. Calculate the common denominator of n and 106/32 - (0 + 1).
16
Let v be (1005/1250)/((-120)/42). Let s = 4/625 + v. What is the common denominator of -61/105 and s?
840
Let g = 96 + -92. Suppose 17 - 57 = -g*c. Calculate the lowest common multiple of c and 182.
910
Suppose b = -c + 405, 1317 = 5*b + 3*c - 720. What is the least common multiple of 1781 and b?
5343
Let w = 16473/1880 - 117/1880. Calculate the common denominator of ((-34)/6)/(14/(-9)) and w.
70
Let t be 3 - (8199/8202 - -2). Let v = t - -82013/19138. Let z = -442 + 1809/4. What is the common denominator of v and z?
28
Let b = -778769871/1280 - -608414. Find the common denominator of b and 44/5.
1280
Let y(j) = -j**3 - 9*j**2 - 15*j - 1. Let s be y(-7). Suppose 0 = 5*r - 4*q + s*q - 38, 2 = -3*r + 5*q. What is the smallest common mu
|
{
"pile_set_name": "DM Mathematics"
}
|
est integer?
6
What is 9659224 to the power of 1/3, to the nearest integer?
213
What is 265400 to the power of 1/3, to the nearest integer?
64
What is 18807445 to the power of 1/3, to the nearest integer?
266
What is 4137125 to the power of 1/2, to the nearest integer?
2034
What is the square root of 17618479 to the nearest integer?
4197
What is 53894 to the power of 1/2, to the nearest integer?
232
What is 1875279 to the power of 1/8, to the nearest integer?
6
What is the third root of 1886089 to the nearest integer?
124
What is 73831 to the power of 1/2, to the nearest integer?
272
What is 810463 to the power of 1/6, to the nearest integer?
10
What is 1588112 to the power of 1/2, to the nearest integer?
1260
What is 465132 to the power of 1/6, to the nearest integer?
9
What is 10709080 to the power of 1/3, to the nearest integer?
220
What is 1208587 to the power of 1/2, to the nearest integer?
1099
What is the ninth root of 11302861 to the nearest integer?
6
What is the square root of 98391 to the nearest integer?
314
What is 21817 to the power of 1/2, to the nearest integer?
148
What is the third root of 1377184 to the nearest integer?
111
What is the fifth root of 997880 to the nearest integer?
16
What is 581528 to the power of 1/2, to the nearest integer?
763
What is the square root of 390582 to the nearest integer?
625
What is 1372521 to the power of 1/3, to the nearest integer?
111
What is 1962728 to the power of 1/2, to the nearest integer?
1401
What is the tenth root of 196798 to the nearest integer?
3
What is the square root of 181325 to the nearest integer?
426
What is the square root of 205794 to the nearest integer?
454
What is 296685 to the power of 1/2, to the nearest integer?
545
What is 404608 to the power of 1/5, to the nearest integer?
13
What is the cube root of 39052 to the nearest integer?
34
What is the square root of 3326048 to the nearest integer?
1824
What is the eighth root of 3071370 to the nearest integer?
6
What is the third root of 404373 to the nearest integer?
74
What is the cube root of 4473033 to the nearest integer?
165
What is 2739371 to the power of 1/3, to the nearest integer?
140
What is 3646294 to the power of 1/7, to the nearest integer?
9
What is the seventh root of 9843 to the nearest integer?
4
What is 11199573 to the power of 1/6, to the nearest integer?
15
What is 8865130 to the power of 1/3, to the nearest integer?
207
What is the fifth root of 6863151 to the nearest integer?
23
What is the cube root of 116267 to the nearest integer?
49
What is 2178619 to the power of 1/2, to the nearest integer?
1476
What is the square root of 2181986 to the nearest integer?
1477
What is the cube root of 866544 to the nearest integer?
95
What is 2719955 to the power of 1/2, to the nearest integer?
1649
What is the third root of 1025258 to the nearest integer?
101
What is the eighth root of 24948626 to the nearest integer?
8
What is 903215 to the power of 1/2, to the nearest integer?
950
What is 2836249 to the power of 1/2, to the nearest integer?
1684
What is the seventh root of 324247 to the nearest integer?
6
What is the square root of 602519 to the nearest integer?
776
What is the third root of 96920 to the nearest integer?
46
What is the fifth root of 349096 to the nearest integer?
13
What is 11963491 to the power of 1/3, to the nearest integer?
229
What is the tenth root of 8542785 to the nearest integer?
5
What is 19314119 to the power of 1/3, to the nearest integer?
268
What is 14074032 to the power of 1/2, to the nearest integer?
3752
What is 339082 to the power of 1/2, to the nearest integer?
582
What is the square root of 206161 to the nearest integer?
454
What is 150332 to the power of 1/3, to the nearest integer?
53
What is 11351316 to the power of 1/3, to the nearest integer?
225
What is the square root of 57352 to the nearest integer?
239
What is the third root of 3605459 to the nearest integer?
153
What is the third root of 813331 to the nearest integer?
93
What is 127170 to the power of 1/3, to the nearest integer?
50
What is the third root of 158722 to the nearest integer?
54
What is 4850662 to the power of 1/2, to the nearest integer?
2202
What is 10009631 to the power of 1/10, to the nearest integer?
5
What is 40825 to the power of 1/3, to the nearest integer?
34
What is 16060944 to the power of 1/10, to the nearest integer?
5
What is 80970 to the power of 1/2, to the nearest integer?
285
What is 505945 to the power of 1/2, to the nearest integer?
711
What is the cube root of 2302786 to the nearest integer?
132
What is the third root of 17680862 to the nearest integer?
261
What is 4060447 to the power of 1/5, to the nearest integer?
21
What is 10087657 to the power of 1/7, to the nearest integer?
10
What is the square root of 108813 to the nearest integer?
330
What is the cube root of 4604801 to the nearest integer?
166
What is 927724 to the power of 1/3, to the nearest integer?
98
What is 111009 to the power of 1/7, to the nearest integer?
5
What is the square root of 483698 to the nearest integer?
695
What is 661728 to the power of 1/2, to the nearest integer?
813
What is 2705270 to the power of 1/6, to the nearest integer?
12
What is 135390 to the power of 1/3, to the nearest integer?
51
What is 14363227 to the power of 1/9, to the nearest integer?
6
What is the third root of 9770209 to the nearest integer?
214
What is the square root of 251449 to the nearest integer?
501
What is 1493214 to the power of 1/2, to the nearest integer?
1222
What is the cube root of 14462511 to the nearest integer?
244
What is 261005 to the power of 1/4, to the nearest integer?
23
What is the third root of 1791018 to the nearest integer?
121
What is the third root of 4279700 to the nearest integer?
162
What is the eighth root of 4551676 to the nearest integer?
7
What is 462823 to the power of 1/5, to the nearest integer?
14
What is the third root of 79019 to the nearest integer?
43
What is the cube root of 761733 to the nearest integer?
91
What is the seventh root of 2338003 to the nearest integer?
8
What is the seventh root of 93514 to the nearest integer?
5
What is the square root of 5623972 to the nearest integer?
2371
What is the square root of 2336700 to the nearest integer?
1529
What is 360572 to the power of 1/10, to the nearest integer?
4
What is the third root of 721000 to the nearest integer?
90
What is 1148954 to the power of 1/3, to the nearest integer?
105
What is the square root of 877680 to the nearest integer?
937
What is 110667 to the power of 1/3, to the nearest integer?
48
What is the seventh root of 3186991 to the nearest integer?
8
What is 2565674 to the power of 1/8, to the nearest integer?
6
What is the cube root of 8593564 to the nearest integer?
205
What is the seventh root of 816395 to the nearest integer?
7
What is 421645 to the power of 1/7, to the nearest integer?
6
What is the square root of 247328 to the nearest integer?
497
What is the cube root of 29707 to the nearest integer?
31
What is 145214 to the power of 1/3, to the nearest integer?
53
What is the sixth root of 128266 to the nearest integer?
7
What is 1695671 to the power of 1/3, to the nearest integer?
119
What is the cube root of 3295841 to the nearest integer?
149
What is the sixth root of 15206152 to the nearest integer?
16
What is the third root of 19999673 to the nearest integer?
271
What is the third root of 260598 to the nearest integer?
64
What is the seventh root of 738846 to the nearest integer?
7
What is the square root of 1807339 to the nearest integer?
1344
What is 262041 to the power of 1/7, to the nearest integer?
6
What is the sixth root of 1387189 to the nearest integer?
11
What is the square root of 3017798 to the nearest integer?
1737
What is 21703 to the power of 1/2, to the nearest integer?
147
What is 530831 to the power of 1/8, to the nearest integer?
5
What is 3918124 to the power of 1/2, to the nearest integer?
1979
What is the eighth root of 3620434 to the nearest integer?
7
What is 1232045 to the power of 1/2, to the nearest integer?
1110
What is the third root of 129391 to the nearest integer?
51
What is 5119377 to the power of 1/6, to the nearest integer?
13
What is the fifth root of 12165
|
{
"pile_set_name": "DM Mathematics"
}
|
+ 1263*r**3 - 5*r**2 - 3834*r**3 + 11*r. Let l be -20*(-1)/(-6)*(-9)/(-3). Let p be j(l). Round p to the nearest one hundred thousand.
2600000
Let a = 1640.9998731 - 1641. What is a rounded to five dps?
-0.00013
Let q = 27 - -10. Let a = -3.5 - q. Let j = -32 - a. What is j rounded to the nearest integer?
9
Let d = 6 - -49. Let f = d + -55.0000061. What is f rounded to 6 decimal places?
-0.000006
Let s be 7 - -4*(1 - 2). Let c be 2*-1 - 6/(-1). Suppose f = s*t + 41997, c*f + 4*t - 168004 = -0*f. Round f to the nearest ten thousand.
40000
Let z = 0.0124 - 0.012400458. What is z rounded to seven dps?
-0.0000005
Suppose 5*n - 8*n - 21 = 0. Let m(q) = 459185*q**2 + 11*q + 20. Let a be m(n). Suppose -3*r - 4499998 = -4*r - t, 4*t = 5*r - a. Round r to the nearest 1000000.
5000000
Let f = -1.2 - -3.1. Let k = f + -1.7. What is k rounded to one decimal place?
0.2
Let m = -8396781379.99999881 - -8396781246. Let b = -124 - 10. Let k = b - m. What is k rounded to 7 dps?
-0.0000012
Let t = 543.54821 + -543.6. Let s = t - -0.05. What is s rounded to four decimal places?
-0.0018
Let p = 138543 + -138541.500005. Let c = p - 1.5. What is c rounded to 5 decimal places?
-0.00001
Let a = -0.53075 + 0.5107514. Let z = -0.09 - -0.07. Let p = z - a. Round p to 6 decimal places.
-0.000001
Suppose -4*b = 5*b + 81. Let r = 256382 - 16656382. Let u be b - -9 - (r - 0). What is u rounded to the nearest one million?
16000000
Let f = 49.94 + -0.94. Let d = 31496850.9999832 + -31496900. Let n = d + f. Round n to 6 dps.
-0.000017
Suppose -13 = 2*x - 3, h = -5*x + 423815. Suppose -7*n + 136160 = -h. What is n rounded to the nearest ten thousand?
80000
Let j = -12.5 + 5.9. Let z = -6.227 - j. What is z rounded to 1 decimal place?
0.4
Let a = 2.6 + -4. Let m = a + 1.40095. Round m to 4 dps.
0.001
Let l be (-2)/9 - (-33)/27. Suppose l = -0*r + r. Let g be 3150*(r + 3 + -2). Round g to the nearest one thousand.
6000
Let a = 3717780 - 3717725.999953. Let g = a + -54. Round g to 4 decimal places.
0
Let k = -301901 + 301808.0205. Let d = 93 + k. Round d to 2 decimal places.
0.02
Let p be 652*((-87)/(-6))/(3/(-15)). Let h = 80270 + p. What is h rounded to the nearest ten thousand?
30000
Let s = -169.999368 + 170. What is s rounded to four decimal places?
0.0006
Suppose 362071 = -3*d + f + 87245, -2*f + 91602 = -d. What is d rounded to the nearest 1000?
-92000
Let t be -4 + 8/2 + 0. Suppose -4*v - 47000 - 19800 = t. What is v rounded to the nearest one thousand?
-17000
Suppose -21 = -5*b + 8*b. Suppose 4*f + 9 = -7. Let s be ((-6)/b)/(f/(-56)). Round s to the nearest integer.
12
Let i = 1.28 + -1.2. Let u = i + -0.12. Round u to one dp.
0
Let v(k) = k**3 - 4*k**2 - 12*k + 2. Let i be v(6). Let d be 14193/(-18) - 1/i. Round d to the nearest one hundred.
-800
Suppose 2*z - 8*g - 16859985 = -5*g, -4*g + 20 = 0. Round z to the nearest 1000000.
8000000
Let n = 1.079 + -1. Let k = 0.07900225 - n. What is k rounded to six decimal places?
0.000002
Let g be (-16*(-3)/15)/(4/1750). What is g rounded to the nearest 1000?
1000
Let x = -10 + 9. Let d = x + 17. Let j = 16.44 - d. What is j rounded to 1 dp?
0.4
Let p be -1*(-3)/(-6)*-68. Suppose 10 = -4*u + p. Let z be (u/(-4))/(3/52000). What is z rounded to the nearest ten thousand?
-30000
Let c = 1.072 - 0.072. Let f = c - 3.2. Round f to zero dps.
-2
Let v(u) = 102871*u**2 + 5*u - 114. Let f be v(-18). Round f to the nearest 1000000.
33000000
Let o = -18 + 14.4. Let c = -3.5999948 - o. Round c to six decimal places.
0.000005
Let z = 4894 - 4262.6. Round z to the nearest one hundred.
600
Let u = 128 + -122. Suppose u*g = -10*g - 1014400. Round g to the nearest ten thousand.
-60000
Let y = 8.7 - 8. Let m = -0.0366895 - -0.7366833. Let z = y - m. Round z to six dps.
0.000006
Let u = -121425.959 - -121492. Let d = 66 - u. What is d rounded to two dps?
-0.04
Let x = 10.987 + -11. Let j = -43.1391 - -43.15210041. Let f = j + x. What is f rounded to 7 decimal places?
0.0000004
Let c = 622154 + 52846. Round c to the nearest 100000.
700000
Let x = 0.24468629 - 0.2447. What is x rounded to seven dps?
-0.0000137
Let y = -0.01158281 + -24.69302719. Let x = 19.704525 + y. Let d = -5 - x. Round d to five dps.
0.00009
Let n = 6890601.1351 + -6890288.13509857. Let m = -313 + n. Round m to seven decimal places.
0.0000014
Let s = 636.315 - 635. What is s rounded to 2 dps?
1.32
Let b = 1557.999998416 + -1558. What is b rounded to 7 decimal places?
-0.0000016
Let j = -24 - -10.5. Let x = -12 - j. Let o = 5 - x. Round o to the nearest integer.
4
Suppose -6*q - 2502794 = 977206. Round q to the nearest one hundred thousand.
-600000
Let q = -13.19 + -459.91. What is q rounded to the nearest one hundred?
-500
Let b(n) = n**3 - 16*n**2 - n + 14. Let v be b(11). Let c be 90*(v/(-6))/(-7). Round c to the nearest 100.
-1300
Let w = 86 - -32. Let p = -78841530 + 78841647.999906. Let o = w - p. Round o to 5 dps.
0.00009
Suppose 2*d = 3*q + 741991, 0 = 3*d - 0*d + 2*q - 1113006. Round d to the nearest ten thousand.
370000
Let i = 12.01 + -0.01. Let n = i - -48. Let d = 59.999963 - n. Round d to 5 decimal places.
-0.00004
Let j = -8216.8683 + 8216. Let q = -9.0027 + j. Let t = -0.071 - q. What is t rounded to zero dps?
10
Let q = 227.190732 - 227.09. Let m = 0.101 - q. What is m rounded to 5 dps?
0.00027
Let x = -7 - -10. Suppose x*c - 15 = 5*i - 4*i, -4*c + 2*i = -20. Suppose 2*p - 5*r = 87, -c*p + 3*p - 3*r + 63 = 0. Round p to the nearest ten.
40
Let u = -37473 - -108031. Suppose -3*k = -2*k - u. Suppose -k = 7*g + 68742. Round g to the nearest 1000.
-20000
Let q = 3928 + -3927.6394. What is q rounded to two decimal places?
0.36
Let n be ((-1130)/3)/(10/(-240)). Suppose 3*g = n + 3560. Round g to the nearest one thousand.
4000
Let c be ((-2500)/(-3))/(-5*9/382860). Round c to the nearest one hundred thousand.
-7100000
Let p = 7 + -4. Let y = -2.9887289 - 0.0112666. Let m = y + p. Round m to 6 decimal places.
0.000005
Let h = -60 - -52. Let n = -1943868142 - -1943868150.00000047. Let v = h + n. Round v to seven decimal places.
0.0000005
Let z(p) = -p**2 + 5*p - 2. Let v be z(3). Suppose -12 + 46 = -l - 4*s, -l + 2*s = v. Let r = l - -31. Round r to the nearest 10.
20
Let z(m) be the third derivative of -182813*m**6/60 - m**5/12 - m**4/12 + 4*m**3/3 - m**2. Let g be z(-4). Round g to the nearest one million.
23000000
Let j be ((-57)/(2 - -1) + 0)/(-1). Let c(n) = 3894*n + 14. Let y be c(j). Round y to the nearest 10000.
70000
Let w = 95.62 - 124. What is w rounded to the nearest integer?
-28
Let j = 28 + -32. Let n(r) = -17*r + 3. Let i be n(j). What is i rounded to the nearest ten?
70
Let j(t) = 14 - 6 + 2 - 1031*t + 4. Let s be j(-6). Round s to the nearest 1000.
6000
Suppose 0 = -4*x + 3*h + 45, 4*x - 70 = 4*h - 6*h. Let a be ((-40)/6)/(3 + (-43)/x). Round a to the nearest 10.
-50
Let t be (-4323822705)/(-36) - (-2)/(-8). Let z = -39706186 + t. Suppose -z = -4*r + 3*d - 4*d, 100500000 = 5*r - 5*d. What is r rounded to the nearest 1000000?
20000000
Let q = -474362.1 - -34614.1. Let d = 439739.99962 + q. Let h = 8 + d. Round h to 4 dps.
-0.0004
Let p = -31.336 + 54.683. Let y = p + -23. Round y to two decimal places.
0.35
Let h = -390 - -291. Let q = -709 + 809.46. Let k = h + q. Round k to 1 decimal place.
1.5
Let j = -6 - 1. Let t(r) = -r**3 - 8*r**2 - 7*r - 7. Let a be t(j). What is a rounded to the nearest 10?
-10
Let y(m) = -75*m + 25. Suppose 3*a + 23 = -16. Let i be y(a). Round i to the nearest 10000.
0
Suppose -n + 31 = 11. Let h = n + -27. Round h to the nearest 10.
-10
Suppose -4*f + 5*h - 13 = -0*f, -5*f = 3*h - 30. Suppose -k - 12 = 2*v, -3*v + f*k + 0*k - 18 = 0. Round v to zero decimal places.
-6
Let t = 76 + -113. Let f = -3.9 + -31.94. Let i = f - t. What is i rounded to 1 dp?
1.2
Let d = -95708.48 - -95700.527393. Let m = d - -29.9526094. Let x = m - 22. What is x rounded to 6 decimal places?
0.000002
Let o(z) = -z**3 + 5*z**2 - 4*z + 3. Let g be o(4). Suppose g*v + 18 = 24. Suppose 3*n = -0*n - 3, 4*x + v*n = 270. What is x rounded to the nearest 10?
70
Suppose 3*t + 66 = -3*a, 0 = 4*a - a - 5*t + 34. Let r = a + 10. Let u be (-16)/(-6)*(-6900)/r. Round u to the nearest 1000.
2000
Let g = 39401.2 - 39401.14999975. Let m = -0.05 + g. Round m to 7 dps.
|
{
"pile_set_name": "DM Mathematics"
}
|
st to -0.1 in 0.4, -0.2, -1/3, -0.712?
-0.2
What is the nearest to 0 in 0, 2/7, -38?
0
Which is the nearest to 1? (a) -3 (b) 1 (c) 90
b
What is the closest to -4 in -0.43, 3/7, -2/3, -1?
-1
Which is the closest to -1/3? (a) 3 (b) 0.5 (c) 0.1
c
What is the nearest to 0.3 in 4, -0.5, -1424?
-0.5
Which is the nearest to 19? (a) -2/7 (b) 3/2 (c) -2/3
b
What is the nearest to 2/5 in 2, 5, -4?
2
Which is the nearest to 0? (a) 1/6 (b) -7 (c) -2/11
a
What is the nearest to 1/17 in 0.5, 6, -5?
0.5
Which is the closest to -0.1? (a) -0.4 (b) -17 (c) 1 (d) 2
a
Which is the closest to -1? (a) -2 (b) -2/25 (c) -8
b
Which is the closest to 2/11? (a) 3/5 (b) 3 (c) -0.1 (d) -1/3
c
What is the nearest to 3/4 in 4/3, 158, -2?
4/3
Which is the nearest to 4? (a) -0.01 (b) 2/9 (c) 3
c
What is the nearest to 24 in 1/10, -1, 4, 5?
5
Which is the nearest to 0? (a) 4/5 (b) -4 (c) 2
a
Which is the nearest to -0.2? (a) -1.2 (b) 5 (c) -4 (d) -0.5
d
What is the nearest to -2/3 in 0.3, 0.1, 12?
0.1
Which is the nearest to 4? (a) -5 (b) 4 (c) 6
b
Which is the closest to -12? (a) 0.3 (b) -5 (c) 3.5
b
Which is the nearest to 2? (a) -0.5 (b) -8/5 (c) 5 (d) 2/21
d
What is the closest to 1 in 9, 1, 4?
1
What is the closest to 1 in 0.3, 1/3, -0.4, 4?
1/3
Which is the closest to 0? (a) 12 (b) 0.1 (c) -3/4
b
Which is the nearest to -2/5? (a) -0.6 (b) -2 (c) 5 (d) 1/4
a
Which is the nearest to -1/3? (a) -15 (b) -0.5 (c) 1/8
b
Which is the closest to 1/11? (a) -0.1 (b) -2 (c) -1/6
a
What is the nearest to -9 in 0, -2/17, -1, 2?
-1
What is the nearest to 2/5 in -45, -2/7, -0.3?
-2/7
Which is the nearest to 2? (a) -3 (b) 2/3 (c) 0.4 (d) 3
d
What is the closest to 0.6 in 1/2, -5/4, -0.01, -0.03?
1/2
Which is the closest to 151? (a) 1 (b) -2 (c) 2/15
a
What is the closest to 1 in 0.2, 109, -6.2?
0.2
What is the closest to 0.1 in -1, -3, 0.5, -0.4?
0.5
Which is the nearest to 2? (a) 0.5 (b) 0.4 (c) 16/9
c
What is the closest to 0 in 1/27, 16, 2?
1/27
Which is the closest to 1/3? (a) -1/3 (b) -4 (c) -5 (d) -0.03
d
Which is the nearest to -0.1? (a) 13 (b) 5 (c) 2/7 (d) -1/9
d
Which is the nearest to 3/8? (a) 0.4 (b) -3 (c) -1 (d) 1/4
a
What is the nearest to -3 in 2/3, 0.3, 2/7, 0.32?
2/7
What is the nearest to -0.032 in 17, 0, -3?
0
What is the closest to -1 in 3, -0.3, -1?
-1
What is the nearest to 10 in -1, -1/2, 144, -0.1?
-0.1
What is the closest to 7 in 2, -2/3, -0.1, 0?
2
What is the closest to -0.11 in 0.4, -0.5, -5?
-0.5
Which is the nearest to -2/5? (a) 0.49 (b) 4 (c) 1/4 (d) 0.07
d
Which is the closest to 141? (a) 1/4 (b) -2/3 (c) -3/4 (d) -2/9
a
What is the closest to -0.08 in -0.5, -1, 0.5, 1?
-0.5
Which is the nearest to 10? (a) 1/7 (b) 1/2 (c) 3
c
Which is the nearest to -15? (a) 0.4 (b) 4 (c) 5
a
Which is the closest to 1.6? (a) -0.1 (b) 1/2 (c) -6 (d) 1/3
b
Which is the closest to 1? (a) -1 (b) -2/13 (c) 1/8 (d) -5
c
What is the closest to 3/5 in 0.2, 2/5, 3, 0?
2/5
What is the nearest to 8/9 in 4, 0, -5?
0
What is the nearest to -4 in -2, 24, 4?
-2
Which is the closest to -5/7? (a) -5 (b) 5 (c) 4
a
What is the nearest to -1/4 in 3, 0.3, -23/5, -0.1?
-0.1
Which is the nearest to 0.7? (a) -34 (b) 0.2 (c) -5
b
Which is the closest to -0.9? (a) 0.4 (b) 39 (c) -0.4
c
What is the nearest to -1/2 in -4/9, -1/2, 0.7, -0.4?
-1/2
Which is the closest to 2? (a) 569 (b) 3 (c) 5 (d) 2
d
Which is the nearest to -1? (a) 0.4 (b) 2/7 (c) 0.17 (d) -0.25
d
What is the nearest to 0.8 in -1/2, 4, 3, 0.1?
0.1
What is the closest to 3 in -3, -5, 4, 84?
4
What is the closest to 4/13 in 2, -2, 6, 5?
2
Which is the nearest to 1/2? (a) 0.4 (b) -1/7 (c) -0.1 (d) -4/45
a
Which is the closest to 0? (a) 0.3 (b) 1.1 (c) -2/9 (d) 1/3
c
Which is the nearest to 2/9? (a) -3 (b) -1.3 (c) -0.2 (d) -5
c
Which is the nearest to 0.1? (a) -1/5 (b) 0 (c) 5 (d) -1
b
What is the closest to 2/7 in -3/2, -5, -1/47?
-1/47
Which is the nearest to 0? (a) 0.1 (b) -3 (c) 5 (d) -0.21
a
Which is the closest to 15? (a) -2/13 (b) 5 (c) -0.3 (d) 1/5
b
What is the closest to -4/7 in 3, 4/3, -1/5, -5?
-1/5
Which is the closest to 0.01? (a) 2/5 (b) 2 (c) -247
a
What is the nearest to 0.6 in 5, 0, 0.11?
0.11
What is the nearest to -2/7 in -5/3, -13.41, -3, 0?
0
Which is the nearest to -1/2? (a) 2 (b) 0.2 (c) -3/4 (d) 0.019
c
What is the nearest to -0.1 in -3, 11, -20?
-3
Which is the closest to -0.09? (a) 3 (b) -3 (c) -2/19
c
Which is the closest to -1/2? (a) -151 (b) 3 (c) -2
c
Which is the closest to -3/7? (a) -1 (b) 5/2 (c) 4 (d) 0.5
a
What is the nearest to 3 in 2/17, 3, 2/11?
3
What is the closest to 1 in 1/5, -1/5, -1, -10?
1/5
Which is the nearest to 3? (a) 7 (b) 0 (c) 2/15
c
Which is the closest to -3? (a) -0.1 (b) 5 (c) -4 (d) 0.5
c
What is the nearest to 1 in 0.5, 1, 5?
1
What is the nearest to 0.1 in 5, -0.05, 2/13?
2/13
Which is the nearest to 0? (a) -3 (b) -1 (c) 5 (d) -0.06
d
Which is the closest to -1/4? (a) 4 (b) -3 (c) -3/13
c
Which is the closest to 1/3? (a) -1.5 (b) -2/7 (c) 2/51 (d) 5
c
What is the nearest to 1/3 in 8, 10, -5?
-5
Which is the nearest to 2/5? (a) -4 (b) -1/4 (c) -1/5 (d) 47
c
Which is the nearest to -2/5? (a) -0.4 (b) 3/7 (c) -3 (d) 3/4
a
What is the closest to 1 in 0.1, 5, 0, -4?
0.1
Which is the nearest to -4? (a) 5 (b) 0.6 (c) -5
c
What is the closest to 1 in 4/5, 4, -5, 1/49?
4/5
Which is the nearest to 0.1? (a) -0.06 (b) 2/9 (c) 0.082
c
What is the closest to -5/3 in -1/8, -0.5, -3?
-0.5
What is the closest to -1/4 in 1.2, 2/9, 18?
2/9
What is the closest to -0.1 in 3, 7.2, -0.3, 4?
-0.3
Which is the closest to 1? (a) 2/23 (b) -5 (c) -31 (d) -0.2
a
What is the closest to 38 in -3, -1/4, 4?
4
What is the nearest to -1/2 in 0, 123, -0.2?
-0.2
What is the closest to 2 in 2/3, -0.4, -0.1?
2/3
What is the nearest to -32 in -144, -2/11, -2/3?
-2/3
What is the closest to 8 in 3, -2, -0.01, -2/9?
3
Which is the closest to 1/3? (a) -4 (b) 1/4 (c) 14323
b
What is the closest to -0.1 in 0.2, 5, 0.06, 2/13?
0.06
What is the closest to -56 in -4, -3, 3?
-4
Which is the nearest to 2? (a) -2/7 (b) 1/10 (c) 8 (d) -3
b
What is the nearest to 2 in -2, -4, -0.087?
-0.087
What is the nearest to 0.05 in -0.18, 1, -2, 2?
-0.18
Which is the closest to -8? (a) -4/3 (b) -0.2 (c) -2/5 (d) -0.3
a
Which is the closest to 0? (a) -2 (b) 36 (c) 0.5 (d) 7.6
c
What is the nearest to -2/3 in 0, 3, -35/12, -1/4?
-1/4
Which is the nearest to 3.8? (a) -0.3 (b) 3 (c) 0.9
b
What is the closest to -0.2 in 1.8, -2/5, 3?
-2/5
Which is the nearest to -2? (a) -0.5 (b) -0.3 (c) -1
c
Which is the closest to 0? (a) 1 (b) -1/3 (c) -4/9 (d) -4
b
Which is the nearest to -2/15? (a) -1 (b) 1 (c) -5
a
Which is the nearest to 2/3? (a) -0.08 (b) 1/2 (c) -6 (d) 4
b
Which is the nearest to -0.1? (a) 3 (b) -1 (c) -8 (d) -89
b
What is the closest to -8 in 3, 4, -0.4?
-0.4
What is the closest to -0.1 in 0.3, 0, 4.4, -0.4?
0
Which is the closest to 2/5? (a) -1 (b) 3 (c) 256
a
What is the closest to -1.2 in 1/2, 1, 2/7?
2/7
What is the closest to 2/9 in 18, -0.5, 4?
-0.5
What is the closest to 0.2 in 3, -3, 16, -24?
3
Which is the closest to 4? (a) 2 (b) -2 (c) -7
a
What is the closest to -2 in 0, 5, -1/5, 0.05?
-1/5
Which is the nearest to -3? (a) 0.3 (b) -0.1 (c) -1 (d) 2/9
c
What is the closest to -2/13 in -2/5, 5, 0.2, -4?
-2/5
What is the closest to 0.05 in 0.3, 0.5, -5, -2?
0.3
Which is the nearest to -19? (a) -4/3 (b) 3 (c) 5 (d) -5
d
What is the closest to 3/14 in 1/9, -3, 5?
1/9
What is the closest to 1/2 in 0.5, 0.04, 0?
0.5
What is the nearest to 0.1 in 0.4, -25, -4?
0.4
What is the nearest to 0.8 in 0.26, -1/7, -2/5, -2/9?
0.26
Which is the nearest to 5/9? (a) -0.5 (b) 0.4 (c) -5
b
Which is the nearest to 9/2? (a) -5 (b) -9 (c) 0.3
c
Which is the nearest to 0.06? (a) 22 (b) -2/3 (c) 2/11
c
Which is the closest to -4? (a) -0.16 (b) -0.3 (c) -1/11 (d) 7
b
Which is the nearest to 0.3? (a) -8 (b) 0 (c) -11
b
Which is the closest to -2/7? (a) 6/13 (b) 5 (c) 0.3
c
Which is the nearest to 1/5? (a) 2/5 (b) 0.9 (c) -8/7 (d) 20
a
Which is the nearest to -47? (a) -4 (b) -1 (c) 1/9
a
|
{
"pile_set_name": "DM Mathematics"
}
|
) to w + g*u and give g.
-201
Rearrange 23*o - 117 - 118 + 236 to l*o + d and give l.
23
Rearrange 2 + r**4 - 185841*r - 11*r**2 - 12*r**3 + 185841*r to the form j*r**3 + p*r + i*r**2 + x*r**4 + o and give p.
0
Express 206*m - 40*m + 100*m + 57*m in the form i + p*m and give p.
323
Rearrange -3*b - 118 + 118 + 24*b**3 - 10*b**3 to u + x*b**2 + c*b**3 + l*b and give l.
-3
Rearrange (151*n + 116 - 116)*(-2*n + 3*n + 3*n) to u*n + i + h*n**2 and give i.
0
Rearrange -1 + 4*g + 1 + (1 - 2*g - 1)*(-2 + 0 + 4) - 2*g - g + 2*g - 5542 + 21*g - 5551 + 11083 to o*g + z and give z.
-10
Rearrange (2 - 2 - 2)*(-2 - 3 + 3)*(-302 - 27 - 74)*(-2*h + 0*h + 4*h) to s + t*h and give t.
-3224
Rearrange -19*a**2 + 18*a**2 - 5*a**3 + 4*a**3 + 2 + 12*a**4 to the form n*a**4 + j*a**2 + v + f*a + c*a**3 and give v.
2
Rearrange (4*v - v + 4*v)*(11*v + 5 - 6 - 2) to a + r*v + t*v**2 and give t.
77
Express 0*c - c - c + (-1 + 1 + 10*c + (1 + c - 1)*(3 - 2 - 3) - 4*c + 5*c - 3*c)*(42 - 51 - 66) in the form r + v*c and give v.
-452
Rearrange 2*y**3 - 7*y**3 - 3*y**4 + 0*y**4 - 19*y**3 + 0*y - 2*y to the form m*y**2 + g*y**4 + f*y + h*y**3 + r and give h.
-24
Express -1167*g + 34 - 92 + 58 as x*g + s and give x.
-1167
Rearrange (-1 + 2*k + 1)*(121 - 299 - 94)*(-2*k**2 + 2*k**2 - k**2) to the form d*k**2 + x*k**3 + t + o*k and give x.
544
Express (998 + 1562 - 2085)*(0 - 4*c - 1 + 2*c) as l*c + i and give l.
-950
Rearrange 197*p - 195*p - 45 - 174 + 87 - 335 to the form j*p + n and give n.
-467
Express -56*f + 1203*f - 107056 + 107055 + (-3*f + 4*f - 3*f)*(2 - 4 + 4) - 2*f + 3*f - 3*f + 4*f + f - 3*f as p + c*f and give c.
1143
Express -19 - 25 + 44 + 446*h**2 in the form f*h + o + r*h**2 and give r.
446
Rearrange 6*f**2 + f**3 + 959*f + 1 - 5*f**2 - 992*f to d*f**3 + a + m*f**2 + v*f and give v.
-33
Rearrange (1 - 1 - 2*k + 1 - 1 - 2*k + (4 - 1 - 2)*(-2 + 2 - 2*k) - 1 + 1 - 2*k + 3*k + 0*k - k)*(-10*k - 62*k + 31*k) to z*k**2 + n*k + l and give z.
246
Express 1285*c - 1709*c - 2 + 2 in the form t*c + u and give t.
-424
Rearrange p**4 + 28*p**3 + 28*p**3 + 2*p + 28*p**3 - 82*p**3 + 18 - 4*p**2 to k*p**2 + d*p**3 + f*p + r*p**4 + x and give k.
-4
Rearrange (2 - 4 + 1)*(-q + 0*q - q) + (-4 + 5 + 4)*(-q + 0 + 0) - 9*q - 13*q + 8*q to w*q + j and give w.
-17
Rearrange 217 - 149 - 3*b + 2*b**2 - 134 to the form u + o*b**2 + f*b and give o.
2
Express (-26*t - 34*t - 121*t)*(-4*t + 2*t + 4*t)*(2 - 5 + 4) as h + l*t + i*t**2 and give i.
-362
Rearrange 14*d + d + d + 6 + (2 + 2*d - 2)*(5 - 3 - 4) to w + a*d and give a.
12
Express -3 + 2131*a + 3 - 2215*a as d*a + h and give d.
-84
Express 361*u - 721*u - 8*u**3 + 358*u as d + f*u + t*u**3 + p*u**2 and give t.
-8
Express (-189 - 9 - 8)*(-6*o**2 + 3*o**2 - 6*o**2) in the form v + d*o + t*o**2 and give d.
0
Express -i**3 - 9226*i**2 + 3 - 24*i**4 + i + 9226*i**2 as l*i**3 + p*i**2 + d*i + h*i**4 + j and give l.
-1
Rearrange -4*b**4 - 2*b**4 + b**4 + (-6*b**2 + 9*b**2 + 8*b**2)*(-39 + 39 - 14*b**2) to a*b**3 + h + c*b**4 + x*b**2 + t*b and give c.
-159
Rearrange (-3 + 2 - 3)*(-4*r + 0*r + 3*r)*(4 - 18 - 47) to p*r + z and give p.
-244
Rearrange f**3 - 541*f - 28 + 543*f + f**3 to the form u*f + v*f**2 + x*f**3 + m and give m.
-28
Express (1 + 1 + 0)*(-2*a + a + 2*a)*(7*a**2 + 4*a**2 - 4*a**2 - 13*a**3) in the form d + t*a**3 + v*a + b*a**4 + z*a**2 and give b.
-26
Express (-s**2 - 2*s**2 + s**2)*(-394*s - 6384 + 6384) as g*s**2 + z*s**3 + p*s + l and give z.
788
Express 2*h**3 - 3837*h - 3*h**3 - 26 + 3835*h + 5*h**2 in the form y*h**3 + l*h + a*h**2 + j and give j.
-26
Rearrange 12754*w**2 - 12767*w**2 - 12*w + 5 - 3 to the form t + y*w**2 + r*w and give t.
2
Rearrange -5 + 3*a**2 - 5*a**2 - 5*a - 19*a**3 + 7*a + 55*a**3 to the form u + x*a**2 + d*a**3 + n*a and give x.
-2
Express (10 - 10 - 10*l)*(0*l - 3*l + 5*l - 1 + 1 + 2*l + (0*l - 5*l + 4*l)*(0 + 1 - 3) - 9*l - 4*l + 3*l) in the form n + h*l**2 + k*l and give k.
0
Express (-4*b**2 + 8 - 8)*(71*b + 10*b - 38*b - 256*b) as j*b**2 + y + m*b + w*b**3 and give w.
852
Express (-i + 9*i - 2*i)*((-4*i**2 + i**2 + 4*i**2)*(-6*i + i + 3*i) - 18*i**3 - 32*i + 32*i) as r*i + j*i**4 + w + k*i**3 + f*i**2 and give r.
0
Rearrange -3773*r**2 + 2 + 62*r + 3773*r**2 + 2*r**3 to the form q*r**2 + f*r**3 + s*r + p and give s.
62
Rearrange (402*y**2 - 2209 + 2209)*(y - 2*y + 0*y**2 - y**2) to the form i*y**2 + f*y**3 + h*y + m*y**4 + r and give f.
-402
Rearrange (4*z - 17 + 17)*((0 + 2 - 1)*(4 - 2 - 4) - 1 + 0 + 9 + (-5 - 2 + 2)*(1 - 3 + 4)) to the form n + l*z and give n.
0
Rearrange (-3*p - p + 5*p)*(-1 + 4 + 0)*(168*p**2 + 359*p**2 + 30*p**2 + 638*p**2) to the form u*p**2 + m + v*p + d*p**3 and give d.
3585
Rearrange (2*q + 4 - 4 + (29*q - 22*q + 66*q)*(-3 - 6 + 1))*(q + 0*q + q)*(-q**2 - 3*q + 3*q)*(1 + 2 - 1) to s*q**4 + g*q**3 + m*q + a + i*q**2 and give s.
2328
Express 0*z**4 + 2*z**4 - 17892 + 17889 - 13*z**3 - 2*z + 3*z**2 as y*z**2 + p*z**3 + o*z**4 + t + c*z and give t.
-3
Express -111*g - 4622 + 4622 as p + m*g and give m.
-111
Express -4*d**4 - 3*d**2 + 11*d + 2*d**4 + d**4 - 45*d + d**2 as u*d + v*d**3 + j*d**4 + h + k*d**2 and give k.
-2
Rearrange -57*k - 10*k + 518*k to j*k + w and give j.
451
Express (3*o - 2*o + o)*(-14 + 12 - 11)*(0*o + 0*o + 2*o) + (0 + 5 - 2)*(2*o - 2*o + 2*o**2) as a*o + v + l*o**2 and give l.
-46
Express -499*p**4 - p - 56*p**4 - 2*p**3 - 16*p**4 as x + c*p**4 + n*p**2 + g*p + z*p**3 and give c.
-571
Rearrange (-p + 5*p - 3*p + (-1 + 2 - 3)*(-6*p + 3*p + 2*p))*(1 - 16 + 8 + (-2 - 4 + 4)*(3 + 0 - 1)) to the form x*p + c and give x.
-33
Rearrange (-104*b + 3*b**2 + 95*b - b**2)*(3 - 1 + 3) to the form p*b + q + l*b**2 and give p.
-45
Express (1 - 4 + 0*g - 2*g)*(1540*g**2 - 3631*g**2 + 1479*g**2) in the form z + k*g**2 + c*g**3 + o*g and give k.
1836
Express 4*i**2 + 3 - 1 + 4*i - 5*i**2 as x*i**2 + a + h*i and give h.
4
Rearrange 141*f - 8 - 279*f + 2*f**2 - 4*f**2 + 146*f to the form t + z*f + j*f**2 and give j.
-2
Rearrange 26 - 52 - a**2 - a + a**3 + 2*a + 27 to k*a + t + c*a**2 + w*a**3 and give w.
1
Express (0*p - 5*p - 4*p)*(-3*p + 3*p + 5*p)*(4 - 2 - 4) as d*p + v*p**2 + q and give v.
90
Express -63*t**2 - 2*t**4 + 3*t**4 - 5*t**4 - 1 + t**4 + 2*t**3 in the form v*t**3 + r + w*t**2 + b*t**4 + z*t and give r.
-1
Express 4*d**4 + 2*d + 3*d**4 - 1313*d**2 + 1315*d**2 in the form z*d**4 + p*d + n + u*d**3 + w*d**2 and give p.
2
Rearrange -7*c**2 - 12*c**2 + 16*c**2 - 5*c**2 to the form q*c**2 + r + l*c and give q.
-8
Rearrange -1 - 2*g**2 + 2*g**4 + 4*g**2 + 8*g**3 - 11*g**3 to i*g + f*g**2 + a*g**4 + u*g**3 + w and give a.
2
Express 244*v**2 - 3 + 1 - 197*v**2 + 7 in the form j + s*v**2 + w*v and give j.
5
Rearrange 12*q**2 - 187 + 106 + 102 to c*q + g + h*q**2 and give c.
0
Rearrange 496 + 764*k - 989 + 493 to v + u*k and give u.
764
Rearrange -835*q + 25*q - 390*q + 69*q to the form u*q + b and give u.
-1131
Rearrange (56 + 54 - 24 + 22 - 2)*(20*y**3 + 10*y**3 + 36*y**3) to p*y**3 + q + m*y**2 + s*y and give p.
6996
Rearrange (131 - 74*w - 131)*(-2*w - w + w) - 4 + 2 + 6*w**2 - 5*w**2 to l*w + u + x*w**2 and give x.
149
Express 20 - 17*g**2 - 382644*g + 382644*g in the form f + w*g**2 + p*g and give f.
20
Express -p + 4*p - p + (1 + 3 + 1)*((4*p + p - 4*p)*(2 - 1 + 0) + (4 + 1 - 4)*(p + 2*p - p)) - p + 2*p + 2*p in the form n + c*p and give c.
20
Rearrange 41 + 4*p**2 - 18 + 25*p**4 - 3*p**2 + 3*p**4 - 25 to w*p**4 + z*p + s*p**2 + f + o*p**3 and give f.
-2
Express -2 + 5*n**2 - 2*n**3 + 12*n**2 - 21*n**2 in the form s*n + l*n**2 + y*n**3 + r and give l.
-4
Express 22*p + 82*p + 625*p + 40*p as r*p + i and give r.
769
Rearrange -20*q + 8*q + q - 6*q - 35*q to the form v + h*q and give h.
-52
Express (-3 + 0 - 3)*(2*j**2 - 2*j**2 - 3*j**2) + (-4 + 2 + 4)*(7*j**2 + 11*j**2 - 19*j**2) in the form c*j + a*j**2 + n and give a.
16
Rearrange (-10*x - 10*x - 4*x)*(-10*x**2 + 19*x**2 + 15*x**2) to the form w*x + u + h*x**3 + a*x**2 and give h.
-576
Express -2*q**2 + 14*q + 5 - 5 - 12*q - 1 as f*q**2 + y*q + m and give y.
2
Rearrange 0*c**2 - c**2 + 0*c**2 + (-3 + 2*c + 3)*(0*c - 15*c - 134*c) to the form p + r*c + g*c**2 and give g.
-299
Rearrange 23*q**3 + 8*q**2 + 190*q - 188*q - 2 - 5*q**2 to the form a*q**2 + c*q + n*q**3 + k and give k.
-2
Rearrange -2*m -
|
{
"pile_set_name": "DM Mathematics"
}
|
**(13/2)*g)*g*g**(2/41)*g)**(-1/31) assuming g is positive.
g**(89713/22878)
Simplify ((z/(z/(z/z**(-3))))/(z*z**(-3)/z*z))**20*((z*z**3)/((z**(-3/5)*z*z*z)/z))**(-3) assuming z is positive.
z**(561/5)
Simplify ((m/(((m*m**(-27))/m)/m))/m**1*(m/((m*m/(m/(m/m**(7/4)))*m)/m))**(4/39))**(-20) assuming m is positive.
m**(-7300/13)
Simplify (((d/(d**(-1/4)*d))/(d*d**(-6/7)))/((d**(-1)*d*d*d)/(d*d**2*d)))/((d*d**(-7)/d)/d**(-1/4))**(-3/20) assuming d is positive.
d**(613/560)
Simplify ((w*w*w**0/w)**19*(w/(w/((w**(1/4)/w)/w)*w)*w)/(w/(w*(w/w**2*w*w)/w)))/((w/(w/w**(2/3))*w)**49*(w**1)**(-1/79)) assuming w is positive.
w**(-61055/948)
Simplify (f*f**5*f*f*f**(11/4)*f*f*f**(-1)*f/((f*f**(-2/3))/f))**(-8) assuming f is positive.
f**(-322/3)
Simplify ((g**(2/9)*g**(-4)*g)/(g**(-1/10))**(2/63))**(-7) assuming g is positive.
g**(874/45)
Simplify (((q*(q/(q**(-2)*q*q)*q)/q)/q**(1/4))/(q**0)**(1/11))/((q*q*(((q**(-1)*q)/q)/q)/q)**(-18/7))**(39/5) assuming q is positive.
q**(-2563/140)
Simplify (c**(-2/23))**(-1/58)/(c/c**19)**(3/7) assuming c is positive.
c**(36025/4669)
Simplify ((o/((o/o**7)/o))**(-11)*((((o**(-19)/o)/o*o)/o)/o)/o**(-3/2))**(-22) assuming o is positive.
o**2387
Simplify ((r**(-2/7))**47/((r/(r**(-5)*r))/(r**3*r)))/(((r/r**(-2/11))/r*r**(2/3))/(r**(-2/3)/(r**1/r*r*r*r))) assuming r is positive.
r**(-4376/231)
Simplify (((q*q**(-1/2)*q)/(q*q**5))/((q*q*q**(-1))/q**(5/3)))/(q**(-3)*q**1)**(-18/11) assuming q is positive.
q**(-469/66)
Simplify ((q/q**(2/9)*((q*(q*q*q/(q*q**5*q*q))/q)/q)/q)/(q**(1/3)/q)**8)/((q**(1/2))**(-19)/((q/q**(-2/9))/q*q**(-5/2)/q*q)) assuming q is positive.
q**(19/3)
Simplify i/(i*i**(1/3))*i**(-1/8)*(i*i**1)/(i/i**(2/11))*(i**6*i*i*i/i**(-2/21)*i)/((i*i**(-1/7))/((i*i**(-5)*i*i)/i)) assuming i is positive.
i**(12865/1848)
Simplify m**(-40)/(m*m*m**(-28))*m**(4/7)*m**(-12/5) assuming m is positive.
m**(-554/35)
Simplify ((s/(s/s**6))/s**(3/2))**19/((s/s**(-3/2))/(s**(-1/6)*s))**(-6/19) assuming s is positive.
s**(3269/38)
Simplify ((s**(-9/5))**(-2/21)*(s/s**(11/3))/s**5)**(-9) assuming s is positive.
s**(2361/35)
Simplify (((p/(p**(-2/15)/p))/p)**(-2/3)*(p**(-3/4))**(-41))**(-1/14) assuming p is positive.
p**(-5399/2520)
Simplify (w**1/w)**30/(w**7*w**7)*(w*(w*w*w**(-2)*w)/w)/w*w/w**(-6)*(w**(2/5))**(-2/25) assuming w is positive.
w**(-879/125)
Simplify (j**(-2/3))**(-9/4)*(((j*j*j**(1/2))/j)/j)/(j/(j**(-2/11)/j))*((j*j*j/(j*j**3))/(j**(1/4)/j))**(2/5) assuming j is positive.
j**(-31/110)
Simplify ((s*(s*s**(-4/7)/s*s)/s)**(2/13)/(s**(-3)*s)**(-1/10))**(-40) assuming s is positive.
s**(488/91)
Simplify ((s/(s/(s/(s*s**(9/2)*s))*s)*s**(-2/27))/(s/s**0*s*s/s**14))**29 assuming s is positive.
s**(6931/54)
Simplify (i**(-8)*i*i**(-2))**46/((i/(i**(3/2)*i)*(i*i/i**(-4))/i)/(i*i*i**(1/4))**(1/95)) assuming i is positive.
i**(-158641/380)
Simplify g*g**(3/7)*g**1*g/g**5*(g**(-5)/g)/g*((g/(g*g/(g**2/g)*g*g))/(g*g**(4/7)*g))**(-21) assuming g is positive.
g**(612/7)
Simplify (f**(2/5)/f**(-8/3))/(f*f**5*f**(1/11))*(f*f**(-5)*f**10/f)**11 assuming f is positive.
f**(8576/165)
Simplify (g**(-5)/g**(3/7))**26/((g**(-2/3)/g)/(g/(g**(-1/6)*g))*(g**(-2/7)/g)**(-13)) assuming g is positive.
g**(-6553/42)
Simplify (((y**(-1/6)*y*y/y**1)/(y/(y/((y*(y**(-2/7)*y*y)/y)/y*y*y)))**(2/19))**(1/30))**(-3/11) assuming y is positive.
y**(-23/4620)
Simplify (w**(2/5)*w/(w**4/w))**(1/49)*((w*w**3)/(w/(w**(-1/2)/w)))**23 assuming w is positive.
w**(16889/490)
Simplify ((f**0)**9)**(-40)*((f**(-2/5)/f)**(-1/10))**(-37) assuming f is positive.
f**(-259/50)
Simplify (((n*n**(6/7)*n*n)/n*n)/n*n**8)**(-4/11)*(n**1)**(1/2)/(n**1)**(-2/31) assuming n is positive.
n**(-16153/4774)
Simplify ((j**(-2/13))**23*j**(-26)/(j**30*j))**(-40) assuming j is positive.
j**(31480/13)
Simplify ((n**36*n*n**(-35))/(n*n**33*n)**(30/7))**(-2/11) assuming n is positive.
n**(296/11)
Simplify (((r**(2/5))**(9/2)/(r**(-2/17)*r**(-6)))**(-10))**(-13) assuming r is positive.
r**(17498/17)
Simplify r**4*r**6*(r**1)**(-30)*((r**(-1/3))**(3/38))**5 assuming r is positive.
r**(-765/38)
Simplify ((y/y**0)**(-30)*y**(-3)*y*y*y*(y/y**(-1/2))/y)/(((y**1*y)/y*y**0)/(y/(((y**3*y)/y)/y*y)*y**(-1))) assuming y is positive.
y**(-67/2)
Simplify (f*f/(f**(-13)/f)*f/f**(-8)*f**(2/27)/(f**(3/17)*f*f))**(1/12) assuming f is positive.
f**(5255/2754)
Simplify (v*v/((v*v*v**(-14/5)*v*v)/v*v)*v**(1/5)*(v*v/(v**6*v))**(-31))**(-16/3) assuming v is positive.
v**(-832)
Simplify ((q**1)**(1/7))**(-28)*(q**(-2/5)/(q*q**(-3/2)/q*q))/((q/q**(-1/3))/q**(-2)) assuming q is positive.
q**(-217/30)
Simplify (((r**(-2/5))**(2/15)/(r**(-2/5))**15)**(10/11))**(-44) assuming r is positive.
r**(-3568/15)
Simplify (((o**(3/2)*o)/o*o*o)/(o**(-2)/o)*(o**1)**23)/(o**(-3/4)/(o*o/o**1)*(o**(1/4))**(15/11)) assuming o is positive.
o**(340/11)
Simplify ((((s**(-1))**17)**(-2/11))**(-29))**(1/12) assuming s is positive.
s**(-493/66)
Simplify ((s**(2/5)*s)**(-3/16)*((s/(s/(s/(s**(-2/3)*s))*s))/s)**(-1/8))/((s**(-2))**(-36)*s**(-3/4)/s**1) assuming s is positive.
s**(-16883/240)
Simplify (c**(2/35)*c/c**37*c/c**0*c**8)**(-25/6) assuming c is positive.
c**(4715/42)
Simplify (s**1*s**(-2))/(s**(1/6)/s*s/((s**(2/9)*s)/s)*s)*(s*s**(-2/5)*(s**(-2)*s)/s)**(-40) assuming s is positive.
s**(973/18)
Simplify (c**(-10)/(c**(2/3)/c))**(1/52)*((c*c/c**(5/4))/c*c*c*c**(-2/3))**(-39) assuming c is positive.
c**(-1655/39)
Simplify ((n/(n**(-1)/n*n))/((n*n/(n/n**(1/3)))/n))**1*(n**(1/5)/n**(-6))/(n**(-4/5)*n**5) assuming n is positive.
n**(11/3)
Simplify (((n**11*n/(n*n**(2/25)*n*n))/(n*n**(1/3)*n*n*n)**(-9))**9)**46 assuming n is positive.
n**(495972/25)
Simplify (u**(1/3))**(-29)*u*u*u**(2/7)*u**4*(u**(-6)/(u**(4/7)/u))**(2/11) assuming u is positive.
u**(-145/33)
Simplify ((((d*d**(-3)*d*d)/(d/(d*((d*d**(-2)/d*d)/d*d)/d)))/((d*d**3)/d)**32)**(-11))**(-24) assuming d is positive.
d**(-25872)
Simplify ((f/f**(-1))**(-16)*(f**0)**(-37))/((f/f**3)/(f/f**(-5))*f**(-1)*f**(-3/5)*f) assuming f is positive.
f**(-117/5)
Simplify (((j*j**(-19))/j)/(j/(j*j**(1/14)))*(j*j*j/((j**3/j)/j))/(j*j**(3/4)*j))**(-1/3) assuming j is positive.
j**(551/84)
Simplify (u/(u/(u*u**(-3/10)))*u*(u/u**7)/u*u)/(u**7/u*u*u*u/(u/(u*u*(u*u*u/(u/u**(-1/4))*u)/u)))*((u**(-3)*u)/u**2)**(-22) assuming u is positive.
u**(1439/20)
Simplify (c**(-22)/c)**(-16)/((c*c**(3/16)/c*c)/c**(-7)) assuming c is positive.
c**(5757/16)
Simplify ((h**(-3/4)/h**(-2/11))/(h**1)**(-1/3))/((h*h**(1/2))/(h*h/h**0*h*h)*(h/h**0*h)/h**(-2)) assuming h is positive.
h**(-229/132)
Simplify (p/((p/(p/p**16*p))/p)*p**1/p*p*(p*p*p*p*p*(p*p**(9/5))/p*p)/(p*p/p**(-2/25)))**(-11/2) assuming p is positive.
p**(1727/50)
Simplify ((((w**7/w)/w**(-2/21))**43)**(-9/8))**20 assuming w is positive.
w**(-41280/7)
Simplify (p*p**(-15/2)/p*p/(p**10*p)*(p*p**(10/11))/((p**(1/8)/p*p)/p))**(3/31) assuming p is positive.
p**(-3885/2728)
Simplify ((t/(t*t*t**(-14)/t*t)*t)**(2/15)*(t*t*t*t**(26/5)*t)**(-17))**36 assuming t is positive.
t**(-27816/5)
Simplify ((y*y**(-12))/(y*((y*y/y**(-13/4))/y*y)/y*y)*(y**(-6/11))**(5/4))**(-24) assuming y is positive.
y**(4734/11)
Simplify (n**(-2/3)/n**(-5/3)*(n**(-6)/n)/(n*n**(-5)/n*n))/((n*n/n**7*(n/(n/n**(-4/9)))/n*n*n)/((n**(1/2)/n)/n)**(4/3)) assuming n is positive.
n**(4/9)
Simplify (((q**(-1/22)/q)/q*q/(q*q/(q/(q/(((q*q*(q*q**(-25))/q)/q)/q)))*q))/((((q*q/(q**15*q))/q)/q)/(q/q**(-25))))**(-2/61) assuming q is positive.
q**(-285/671)
Simplify t**(-2/7)/((t*t/t**(-18))/t)*(t**(-6/7))**(1/7) assuming t is positive.
t**(-951/49)
Simplify (((j*(j/(j*(j**(-3/5)*j)/j))/j)/j)/j*j/((j**(-5)/j)/j*j*j))**(2/45)/(((j*j/(j/j**(-1/3)))/j)/(j*j*j**(-5))*j**(-3)*j/j**(1/11)) assuming j is positive.
j**(-919/2475)
Simplify (a/(a/(a*a/(a**(-3/2)/a))))/((a**(-2/63)/a)/a)*(a/((a/a**(4/5))/a))**23 assuming a is positive.
a**(30197/630)
Simplify ((h/(h**1/h)*h)**(-3/2)*h**(-2/5)*h*h**(2/7))/((h*h**5*h*h**(-2/3))/(h**(-2/13)*(h/h**(-2/17))/h)) assuming h is positive.
h**(-196867/23205)
Simplify ((g/(g*(g*g*g**(3/11))/g))/g**(-2/3)*(g**(-1/4))**(-2/35))/((g/g**(-1/2))**33/(g/g**0*g)**(1/53)) assuming g is positive.
g**(-3064058/61215)
Simplify ((v**0/v*v)/((v**(-3/4)/v*v)/v))**(-2/113)/((v*(v**(1/2)/v)/v*v**(6/11)*v)/(v**(-1)/(v*v**(-8)))) assuming v is positive.
v**(6120/1243)
Simplify ((f**19*f/(f
|
{
"pile_set_name": "DM Mathematics"
}
|
rime factors of 348122?
2, 174061
List the prime factors of 141283.
141283
What are the prime factors of 12346765?
5, 919, 2687
What are the prime factors of 964169?
887, 1087
What are the prime factors of 332669?
79, 4211
List the prime factors of 3386150.
2, 5, 67723
What are the prime factors of 31609395?
3, 5, 702431
What are the prime factors of 5539?
29, 191
List the prime factors of 8827655.
5, 661, 2671
What are the prime factors of 2020532?
2, 463, 1091
What are the prime factors of 11021886?
2, 3, 401, 509
What are the prime factors of 1438934?
2, 7, 14683
List the prime factors of 184780.
2, 5, 9239
List the prime factors of 1490687.
11, 29, 4673
What are the prime factors of 317346?
2, 3, 227, 233
What are the prime factors of 112642?
2, 17, 3313
What are the prime factors of 145022?
2, 59, 1229
List the prime factors of 1141997.
83, 13759
What are the prime factors of 61346?
2, 37, 829
List the prime factors of 475368.
2, 3, 29, 683
What are the prime factors of 306188?
2, 41, 1867
What are the prime factors of 230146?
2, 7, 17, 967
What are the prime factors of 428613?
3, 142871
List the prime factors of 185924.
2, 53, 877
List the prime factors of 1191231.
3, 107, 1237
List the prime factors of 8901305.
5, 7, 41, 6203
What are the prime factors of 10933518?
2, 3, 61, 29873
List the prime factors of 13805244.
2, 3, 23, 16673
What are the prime factors of 2439487?
2439487
List the prime factors of 28138789.
7, 574261
List the prime factors of 941808.
2, 3, 7, 2803
What are the prime factors of 1613595?
3, 5, 97, 1109
What are the prime factors of 458617?
89, 5153
What are the prime factors of 421919?
47, 191
List the prime factors of 1634769.
3, 191, 317
What are the prime factors of 381141?
3, 42349
What are the prime factors of 8201728?
2, 83, 193
What are the prime factors of 1608612?
2, 3, 37, 3623
List the prime factors of 19129226.
2, 9564613
What are the prime factors of 987?
3, 7, 47
What are the prime factors of 57994?
2, 107, 271
What are the prime factors of 9965353?
31, 103, 3121
What are the prime factors of 11321075?
5, 37, 12239
What are the prime factors of 348604?
2, 87151
List the prime factors of 10418161.
13, 17, 47, 59
What are the prime factors of 69176?
2, 8647
What are the prime factors of 1259443?
37, 34039
List the prime factors of 639666.
2, 3, 35537
List the prime factors of 1465685.
5, 13, 22549
What are the prime factors of 27067?
27067
List the prime factors of 302152.
2, 179, 211
List the prime factors of 16152800.
2, 5, 61, 331
What are the prime factors of 235414?
2, 31, 3797
What are the prime factors of 16653712?
2, 1040857
List the prime factors of 12805714.
2, 47, 59, 2309
List the prime factors of 10232631.
3, 23, 49433
List the prime factors of 223930.
2, 5, 7, 457
List the prime factors of 668307.
3, 367, 607
List the prime factors of 167239.
41, 4079
What are the prime factors of 4189858?
2, 2094929
What are the prime factors of 1102021?
1102021
List the prime factors of 12864501.
3, 13, 19, 643
List the prime factors of 66928.
2, 47, 89
List the prime factors of 12970713.
3, 7, 73, 8461
What are the prime factors of 2146311?
3, 79493
What are the prime factors of 222631?
127, 1753
List the prime factors of 599098.
2, 71, 4219
List the prime factors of 1324031.
383, 3457
List the prime factors of 222293.
222293
What are the prime factors of 397300?
2, 5, 29, 137
What are the prime factors of 3973761?
3, 11, 41, 89
What are the prime factors of 1561400?
2, 5, 37, 211
What are the prime factors of 1225827?
3, 83, 547
List the prime factors of 16002155.
5, 13, 246187
List the prime factors of 398734.
2, 7, 19, 1499
What are the prime factors of 25371958?
2, 2269, 5591
What are the prime factors of 9956361?
3, 19, 174673
What are the prime factors of 380413?
11, 34583
What are the prime factors of 126940?
2, 5, 11, 577
List the prime factors of 1571891.
1229, 1279
List the prime factors of 666092.
2, 7, 23789
List the prime factors of 20085381.
3, 17, 43759
What are the prime factors of 187413?
3, 179, 349
List the prime factors of 3463220.
2, 5, 43, 4027
List the prime factors of 12441401.
7, 71, 25033
What are the prime factors of 2822117?
79, 139, 257
List the prime factors of 782520.
2, 3, 5, 6521
List the prime factors of 11124738.
2, 3, 618041
List the prime factors of 26618.
2, 13309
List the prime factors of 806146.
2, 11, 36643
List the prime factors of 9964980.
2, 3, 5, 23, 29, 83
What are the prime factors of 2099416?
2, 11, 23857
List the prime factors of 62857.
239, 263
List the prime factors of 577023.
3, 192341
List the prime factors of 1430226.
2, 3, 7, 11351
List the prime factors of 163049.
103, 1583
List the prime factors of 682002.
2, 3, 37889
List the prime factors of 723469.
17, 42557
What are the prime factors of 87320?
2, 5, 37, 59
List the prime factors of 5990347.
11, 31, 1597
What are the prime factors of 733970?
2, 5, 19, 3863
List the prime factors of 468749.
19, 24671
What are the prime factors of 2120788?
2, 530197
List the prime factors of 142366.
2, 7, 10169
What are the prime factors of 3700?
2, 5, 37
List the prime factors of 33237926.
2, 829, 20047
List the prime factors of 7061957.
7, 1008851
What are the prime factors of 1253474?
2, 691, 907
List the prime factors of 35132474.
2, 13, 1351249
List the prime factors of 291738.
2, 3, 48623
What are the prime factors of 26475?
3, 5, 353
List the prime factors of 88035.
3, 5, 5869
List the prime factors of 2267782.
2, 11, 9371
List the prime factors of 2815570.
2, 5, 281557
What are the prime factors of 571363?
13, 43951
What are the prime factors of 4909929?
3, 79, 20717
What are the prime factors of 258139?
7, 36877
List the prime factors of 31063604.
2, 11, 13, 4937
List the prime factors of 1519998.
2, 3, 61, 4153
List the prime factors of 2668712.
2, 333589
List the prime factors of 2108110.
2, 5, 210811
What are the prime factors of 6170?
2, 5, 617
List the prime factors of 12566730.
2, 3, 5, 11, 113, 337
List the prime factors of 15450489.
3, 89, 19289
List the prime factors of 3448633.
19, 41, 233
List the prime factors of 430146.
2, 3, 23, 1039
What are the prime factors of 2340041?
11, 199, 1069
List the prime factors of 135623.
135623
What are the prime factors of 730500?
2, 3, 5, 487
What are the prime factors of 27241123?
7, 13, 17, 17609
List the prime factors of 1209341.
7, 31, 5573
List the prime factors of 9870680.
2, 5, 23, 10729
List the prime factors of 1038915.
3, 5, 23087
What are the prime factors of 1238478?
2, 3, 206413
List the prime factors of 1044710.
2, 5, 104471
What are the prime factors of 315157?
113, 2789
List the prime factors of 4405058.
2, 7, 59, 5333
List the prime factors of 190806.
2, 3, 7, 11, 59
List the prime factors of 968221.
19, 131, 389
What are the prime factors of 507722?
2, 17, 109, 137
List the prime factors of 4420331.
19, 83, 2803
List the prime factors of 277241.
37, 59, 127
What are the prime factors of 84527?
181, 467
What are the prime factors of 8891185?
5, 1097, 1621
List the prime factors of 1133147.
1133147
List the prime factors of 612238.
2, 11, 17, 1637
What are the prime factors of 3364849?
1579, 2131
List the prime factors of 2692352.
2, 13, 809
List the prime factors of 192932.
2, 139, 347
What are the prime factors of 832572?
2, 3, 13, 593
List the prime factors of 4159605.
3, 5, 43, 6449
What are the prime factors of 15707782?
2, 523, 15017
List the prime factors of 1999161.
3, 19, 433
List the prime factors of 1342854.
2, 3, 61, 1223
List the prime factors of 174124.
2, 101, 431
List the prime factors of 1643085.
3, 5, 4057
What are the prime factors of 646645?
5, 23, 5623
List the prime factors of 2020774.
2, 7, 144341
List the prime factors of 238399.
7, 34057
List the prime factors of 1633304.
2, 204163
List the prime factors of 152404.
2, 7, 5443
List the prime factors of 10641241.
13, 641, 1277
What are the prime factors of 373775?
5, 14951
What are the prime factors of 3011572?
2, 47, 83, 193
List the prime factors of 1334921.
7, 19, 10037
What are the prime factors of 4473669?
3, 17, 87719
List the prime factors of 1591819.
31, 51349
What are the prime factors of 168683?
37, 47, 97
List the prime factors of 194352.
2, 3, 4049
List
|
{
"pile_set_name": "DM Mathematics"
}
|
= s. Is v composite?
False
Let d be ((-4)/(-6))/(2/12). Suppose 0 = 4*f + s - 2109, -f - d*s = 159 - 690. Is f a prime number?
False
Let b(d) = 457*d - 25. Let g be b(8). Suppose -4*y - 4*u = -3616, y - 5*y + u = -g. Suppose 5*l - y = 4*l. Is l a composite number?
False
Let v(i) = 4*i + 2. Let l be v(-2). Let n(j) = -1703*j + 265. Is n(l) prime?
False
Suppose 5*y = y + 4*o + 32, 3*o + 15 = 0. Suppose -242 = -u + y*a, 3*u - a - 765 = -5*a. Is u a prime number?
True
Suppose -4*z = 4*s - 201352, 5*s - 3*z - 232840 - 18874 = 0. Is s prime?
True
Suppose 156720 = 4*w + 3932. Is w composite?
False
Let g be -3 + (3 - (-280)/(-5)). Is 16/g + (-46)/(-14) + 2898 composite?
True
Suppose f + 54 = 4*g, 5*f + 213 = -0*f + g. Let s be 12/f + 204936/14. Suppose 4*x = -0*b + b + s, 0 = -x + 3*b + 3665. Is x a prime number?
True
Suppose 126 = 2*z - 116. Let j = 41 - z. Let f = j - -207. Is f prime?
True
Let l(g) = -374*g**3 - g**2 - 7*g + 23. Is l(-4) prime?
True
Suppose -c = -2*c + 5. Suppose -2*n - 1 = c*q, -5*q - 1 = 4. Suppose 76 = n*g - 26. Is g prime?
False
Suppose -39*l + 40*l + 364401 = 4*t, -2*l + 91107 = t. Is t prime?
False
Suppose 11850 = -4*u + 29374. Suppose -u = -13*h + 1105. Is h prime?
False
Let k(b) = -192*b + 125. Let u be k(16). Let l = u - -12293. Is l a composite number?
True
Let s = 607 + -671. Is s/96*80358/(-4) a composite number?
True
Let c be 3 - (-2 - -6 - 3). Suppose 462 = 4*b + 46. Is 1948/b*18 + c/(-13) prime?
True
Let x = -6634 - -13233. Is x a composite number?
False
Is (1968907 + 1)*(-245)/(-280)*2/7 prime?
True
Suppose 289*y - 242*y - 599485 = 0. Is y prime?
False
Suppose 0 = -3*t + 21 - 12. Suppose 0 = -2*u - t*k + 4975, -75*k + 71*k + 12 = 0. Is u a prime number?
False
Let q(d) = 11*d**3 - 5*d**2 - 19*d + 32. Suppose 4*t = 5*p + 54, -2*t - t - 5*p = -23. Is q(t) prime?
True
Let h(p) = -p**3 + 2*p**2 - 18*p + 5. Let r be 0 + -1 + 5 + -6. Let a(l) = 5*l**3 - 9*l**2 + 73*l - 19. Let c(j) = r*a(j) - 9*h(j). Is c(-6) a composite number?
False
Let q(y) = -58*y + 2227. Let s be q(37). Suppose -5*g = -n + 625, 5*n + 2*g = g + 3255. Let c = n + s. Is c a prime number?
False
Let r be (11 - 57/12) + 2/(-8). Suppose r*o - 9*o + 701 = l, -l + 934 = 4*o. Is o prime?
True
Let r be 13868 + (3 - 1) - (-4 - -8). Let u = 21119 - r. Is u composite?
False
Suppose -3*r - 3*q = -543111, -5*r + 12215 + 892974 = 3*q. Is r a prime number?
True
Suppose -97 = -f + 2*o, f + 4*f - 4*o - 479 = 0. Suppose -4*m - f = 3*v, m + 2*v = 3 - 28. Let c(k) = k**2 + 4*k + 34. Is c(m) composite?
True
Suppose -7 = -3*o + 8. Suppose -o*c - 577 = -1462. Is c composite?
True
Suppose -3*o = -8*o - o. Suppose -4*c + 11*c - 14 = o. Suppose -4*y + 48 = 6*d - c*d, -4*y + 54 = d. Is y a composite number?
True
Let c(a) = a**2 + 5*a + 5. Let p be c(-7). Let g = p + -10. Is (g/(-3) + 1 - -1)*-83 a composite number?
False
Let h be (-1444)/3*(-27)/(-18). Let r = 485 + h. Let j = 156 - r. Is j a composite number?
True
Is ((-288)/528)/((-12)/46872474) composite?
True
Is (-12 - (3 - 10) - 97559)/(-4) a composite number?
False
Suppose 0*m + 4*m = 5372. Suppose 7*r + 85 + m = 0. Let v = -109 - r. Is v a prime number?
False
Let q = 486936 + -270787. Is q a prime number?
True
Suppose -10*f = -3*f - 52836. Let a = f + -5191. Is a composite?
False
Let h(c) = -649*c**3 - 2*c**2 + 28*c + 87. Is h(-4) a prime number?
True
Let y(r) = r**3 + 3*r**2 - r - 1. Let l be y(-1). Is l*3438/(-12)*2/(-6) a composite number?
False
Suppose 0 = 6*t - 151942 - 633080. Is t a composite number?
True
Let d = -306 + 1118. Suppose d = x - 5195. Is x a composite number?
False
Suppose 31*a = 27*a + 412. Let o = a - 113. Is (2676 - 16)*o/(-8) - -2 a composite number?
True
Let i = -2 + 2. Is (505/15 - i)*213 a composite number?
True
Let h be -4 + 5 + -12 + 14. Suppose -r + 5*l + 653 = -3445, -h*r = -5*l - 12244. Is r a prime number?
True
Let g(k) = 41579*k + 616. Is g(17) a composite number?
False
Suppose 14810594 = 28*a + 57*a - 3*a. Is a composite?
False
Let v(r) = 283*r + 20. Let h(g) = 281*g + 18. Let z(u) = -3*h(u) + 2*v(u). Is z(-1) a prime number?
True
Suppose y + 3*b = 6, -5*b = -2*y - 9*b + 22. Suppose -y*n = -22*n + 153. Let k = n + -30. Is k a composite number?
True
Let j(c) = 770*c**2 + 73*c + 58. Is j(-7) a prime number?
True
Suppose -4*o - 12804 = -4*r, -r + 73*o - 74*o = -3193. Is r a composite number?
True
Let v(b) be the third derivative of 31*b**6/60 + 2*b**5/15 + 11*b**4/24 + b**3 + 3*b**2 - 5. Let k be v(-5). Is ((-5)/(-15))/((-1)/k) a prime number?
False
Suppose -d + 5*d - 330150 + 14266 = 0. Is d composite?
True
Suppose 14*x - 3609 - 2355 = 0. Let t be (-1)/(-1*3/6927). Let j = t - x. Is j a composite number?
True
Let x = -9818 - -24297. Let c = x + -8334. Is c a composite number?
True
Let k(f) = 235*f**2 + 242*f + 142. Is k(-33) a composite number?
False
Let p = 458 - 452. Let x(w) = 131*w**3 - 2*w**2 - w - 23. Is x(p) prime?
False
Let w(n) = -n**2 - 24*n - 85. Let f be w(-19). Suppose -1955 = f*d - 27*d. Is d prime?
False
Let r(u) = -1557*u**3 + 16*u**2 + 132*u + 47. Is r(-6) composite?
False
Suppose 0 = -5*i + 4*z - 5*z - 220, 0 = 2*z - 10. Suppose 618 = 2*q + 5*p - 10*p, -4*q + 4*p = -1224. Let b = q + i. Is b a prime number?
False
Let a(p) = -6*p + 26. Let i be a(-3). Let q = 40 - i. Is 10/(-24)*q*1437 a composite number?
True
Let s = 208489 + 40630. Is s a composite number?
True
Let g(f) = f - 9. Let o be g(10). Let x(m) = 17*m + 1. Let y be x(o). Suppose y = 3*w + 3, -a - w = -786. Is a a prime number?
False
Let x = -91463 + 318204. Is x composite?
False
Let k(z) = 24*z**3 - 70*z**2 + 3*z + 3. Suppose 2*q = -4*j + 44, 25*j - 23*j + 5*q - 30 = 0. Is k(j) prime?
True
Let r = -582729 - -1149058. Is r a composite number?
True
Let u = 575 + -5395. Let z = 13533 - u. Is z composite?
False
Let d = 60 - 58. Suppose 0 = -d*q - 0*q + v, -3*v = -2*q - 4. Is 1151/(q/5 - 20/(-25)) prime?
True
Let u(i) = 1311*i - 23. Let a(y) = -y**2 + 4*y + 14. Let o be a(6). Is u(o) prime?
False
Let a be (0 - -1*1)/((-6)/(-18)). Suppose -3*w + 584 = 2*w - a*k, -2*w = 5*k - 246. Suppose -x = -0*x - w. Is x composite?
True
Let m = -217 - -3375. Let r = -2373 + 3777. Let f = m - r. Is f prime?
False
Suppose -2*t - 62 = 4*g, -2*t + 53 = -3*g + 3*t. Let n be 16/(-6)*(420/g - -6). Suppose -39 = -3*x + n. Is x a composite number?
False
Suppose -2*p - 45 = -5*z, 9*z = 4*z + p + 45. Suppose -z*m = -5*m + 6420. Is (-12)/(-18)*m/(-2) a prime number?
False
Let o(b) = 103*b**2 - 59*b + 113. Let r be o(2). Let s(q) = -34*q**3 + 4*q**2 + q - 3. Let v be s(-3). Let h = v - r. Is h composite?
False
Suppose 569831 = 7*b - 4*s, 0 = 7*s - 12*s - 30. Is b a composite number?
False
Let c = -163488 + 280127. Is c prime?
True
Let d be (-72)/(-6)*(-344)/32. Let m = 460 + d. Is m prime?
True
Let r = -232 - -429. Suppose -r = -2*d - 3*b, -3*b - b - 444 = -4*d. Is d a composite number?
True
Suppose -5*d - 976 = 744. Let u(f) = -f**3 - 11*f**2 + 19*f - 8. Let t be u(-11). Let b = t - d. Is b a composite number?
False
Let r be (-170)/34 + (-2)/((-4)/10). Suppose -2*a + z + 8776 = a, -4*a - 4*z + 11728 = r. Is a prime?
True
Let l = 203726 - -49775. Is l composite?
False
Let t = 41 + -10. Let h = t + 15. Is 1 + h + 3 + 1 a composite number?
True
Let i be -2 - -2 - -10431 - 135/(-45). Is i/34 + -1*20/(-170) a prime number?
True
Suppose 5*p - 2*r - 24 = 0, 0*p - 8 = -3*p - 2*r. Suppose 0*x + 2*x = 4*g + 10, -3*x + p*g + 11 = 0. Is (x - -2)*890/6 - 0 a composite number?
True
Let k(y) = -4611*y - 39. Let c be k(3). Let n = -9691 - c. Is n a prime number?
False
Let q(w) = -w**2 - 8*w + 18. Let m be q(-12). Let y(h) = h**3 + 39*h**2 + 50*h + 37. Is y(m) a prime number?
True
Let u be -3 + (-203908 + -2)/(-6). Suppose 6*j = -7*j + u. Is j a prime number?
False
Suppose -5*l + 4*x + 216115 = 0, 0 = -2*l + 6*x - 8*x + 86446. Is l prime?
True
Suppose 20 = -23*c + 66. Suppose 2*t + l = -c*t + 11641, -5*t - 3*l + 14560 = 0. Is t a composite number?
False
Suppose 11*x - 12*x = -4. Is x/(24/16118)*3 composite?
False
Let l = -4757 - -20872. Suppose 2*z + 2*j - l = -4183, 0 = -z + j + 5976. Is z a prime number?
False
Is (-8041264)/(-11) + -14 + -17 a prime number?
True
Let o(h) = -h**3 + 5*h**2 + 3*h - 16. Let b be o(4). Suppose 0 = -17*t + b*t. Suppose 0 = -k +
|
{
"pile_set_name": "DM Mathematics"
}
|
27. Suppose -y*j + 2*j = -66. What is the units digit of j?
3
Let z(b) = -2*b**2 - 30*b - 5. Let n be z(-14). Let m = 74 - n. What is the units digit of m?
1
Suppose 9*l - 10*l = -16. Suppose 5*c - l = -2*y, 0 = -y - 2. Suppose 4*n - 757 = -5*t, c*n - 163 - 288 = -3*t. What is the hundreds digit of t?
1
Let d(f) be the third derivative of 163*f**4/24 + 14*f**3/3 - 17*f**2 + f. What is the units digit of d(5)?
3
Suppose -k - 2*k = -246. Let r = k - 48. Let u = 97 + r. What is the units digit of u?
1
Let o be -6*2/(-8)*80/15. Suppose -10 = -d - o. Suppose -d*j + 0*t + 260 = -t, -4*t = -16. What is the tens digit of j?
3
Suppose 35*i - 30*i - 36445 = -5*d, -5*i - 36465 = -5*d. What is the hundreds digit of d?
2
Let i = -22 - -93. Let u = 90 + -137. Let r = i + u. What is the tens digit of r?
2
Let k be 5/10 - (-1)/2. Let y be (k - (-4)/(-6))*0. Suppose 2*d + 172 = 2*s, -s - 4*d + 48 + 48 = y. What is the tens digit of s?
8
Suppose 4*u + 9 = q, -10*u + 3 = -8*u + q. What is the units digit of (113/u)/(3/(-3))?
3
Suppose -c + 22 = 3*y, -2*y + c + 33 = -2*c. Suppose 3*k + y = 6. What is the units digit of (99/(-18))/(k/22)?
1
Let x be 26 - 34 - 329/(-1). Let p = 58 - -96. Let c = x - p. What is the units digit of c?
7
Suppose -4*p = 3*k - 318, 5*k = 2*p + 3*p - 415. Suppose -m = -4*m + 369. Let j = m - p. What is the units digit of j?
2
What is the thousands digit of ((-5 + (3 - -1))/1)/(1/(-3092))?
3
Suppose -711 = m - 3*f + 153, -4*m = 3*f + 3501. Let p = -148 - m. What is the tens digit of p?
2
Suppose -306090 - 1088344 = -255*m + 252101. What is the units digit of m?
7
Suppose 2*f - 27 = -5*c + 57, 3*f - 5*c = 76. Let p(a) = a**2 - 24*a - 68. What is the tens digit of p(f)?
8
Suppose 58*i - 1175251 - 1175431 = 0. What is the hundreds digit of i?
5
Let o be ((-1495)/(-46))/(1/(-2)). Let g = o - -66. What is the tens digit of (4 + g)*576/15?
9
Let x be (-6)/24 + 465/4. Let h = 438 - x. Suppose 3*m - v - h = 0, 0*v = -2*m - 4*v + 196. What is the hundreds digit of m?
1
Suppose -13*u - 4103 = -2*u. Let q be (u/(-2) - -1)/(2/8). Suppose -2*i + 312 = 2*j, 0 = -5*j + 2*i + 3*i + q. What is the units digit of j?
3
What is the ten thousands digit of 243/12*-90*220/(-33)?
1
Let s(d) = -2187*d + 1093. What is the hundreds digit of s(-37)?
0
Suppose -29*n + 101710 = -2*n + 17551. What is the tens digit of n?
1
Let y be 99/(-33) + (0 - 1*-7). Suppose -5083 = -5*m + 2*h, -y*m + 21*h = 25*h - 4044. What is the units digit of m?
5
Let s(d) = -d**2 + 9*d + 25. Let u be s(11). Suppose 2*h - 2*a - 99 = -u*a, 33 = h - 5*a. What is the units digit of h?
8
Let b(r) = 21*r**2 - 33*r + 30. What is the units digit of b(12)?
8
Let d(n) = 98*n**2 - 822*n + 7. What is the hundreds digit of d(-10)?
0
Let f(a) = 284*a + 427. What is the units digit of f(31)?
1
Suppose 0 = -4*n + 1 - 5. Let y(q) = -q**3 - 4*q - 5. Let r be y(n). Suppose -u - 5*t + 21 = r, -3*t + 2*t - 189 = -4*u. What is the units digit of u?
6
Let x(m) = 11*m - 2487. Let u be x(0). Let a = -1526 - u. What is the units digit of a?
1
Suppose -7 = -4*d + 1. Suppose d*o = -4*y + 16, 3*y + 4 = 2*o + 9. Suppose -v + 127 = -2*z, o*z = 2*v - 269 + 5. What is the hundreds digit of v?
1
Let j(f) = 37177*f - 74360*f - 11 + 37177*f - 5*f**2 + 2*f**3. Suppose -2*d = -3*q + 2*d + 22, d + 13 = 2*q. What is the hundreds digit of j(q)?
2
Let j(a) = -5*a**3 - 3*a**2 - 2*a + 1. Let c be j(-2). Let g = -39 + c. What is the units digit of (-366)/g*(3 - (-2)/(-1))?
1
Let m(p) = p**3 + 15*p**2 - 8*p - 35. Let s be m(-5). Let u = s - 248. What is the units digit of u?
7
Suppose -655*s + 35100 = -650*s. What is the hundreds digit of s?
0
Let b(i) = 3*i**2 + 103*i - 226. What is the thousands digit of b(-51)?
2
Suppose 2*h + 4*z = 516, -h - z = -119 - 142. Suppose 370 = -259*g + h*g. What is the tens digit of g?
7
Let n = -117 - -43. Let k = -292 - -399. Let r = n + k. What is the units digit of r?
3
Let x(y) be the third derivative of y**6/10 - y**5/20 + y**4/6 - 5*y**3/6 + 10*y**2 - 3. What is the tens digit of x(3)?
0
Suppose 42*t - 33*t - 2619 = 0. What is the hundreds digit of t?
2
Let u(s) = -6*s**2 + 192*s + 2. Let f be u(32). What is the units digit of 8 + (-4 - f - -812)?
4
Let f(s) = 8*s - 6. Let b(p) = 2*p - 5. Let w(y) = -2*b(y) + f(y). Let r(j) = -j + 2. Let l be r(0). What is the tens digit of w(l)?
1
Let i be ((-7678)/(-55))/((-2)/(-5)). Let l = i + 392. What is the hundreds digit of l?
7
Let h = 7853 + 18384. What is the ten thousands digit of h?
2
Let b(i) = i**3 + i + 56. Let t be b(0). Let h = -48 + t. What is the units digit of 0 + 554/h + 105/140?
0
Let i = 19 + -14. Suppose -f + 244 = -i*f. Let c = 73 + f. What is the units digit of c?
2
Suppose -28*v + 49 = -21*v. Suppose v*j - 202 = 946. What is the units digit of j?
4
Let q(y) = -y**3 + 2. Suppose -10 = 3*n + l, 2*n - 6*n + 5*l + 12 = 0. Let r be q(n). Suppose r*m = 15*m - 135. What is the units digit of m?
7
Suppose -20*x + 15*x - 40 = 0. Let w(k) = -14*k - 47. What is the tens digit of w(x)?
6
Let o = -3852 + 723. What is the hundreds digit of 0 + o/(-7) + -7?
4
Let k(m) = -2*m - 16. Let x be k(23). Suppose -214 = -3*q + 5*q. Let t = x - q. What is the units digit of t?
5
Let m(r) = -r**3 - 19*r**2 + 13*r - 23. Let c(o) = -98*o**2 + 1 + 97*o**2 + 28. Let s be c(-7). What is the units digit of m(s)?
7
Let z(g) be the second derivative of g**4/12 - 5*g**3/6 + 15*g**2/2 + 63*g. Let o(t) = 3*t - 6. Let m be o(5). What is the units digit of z(m)?
1
Suppose t - 1763 = 5*d, -4*t + 5*d + 9090 - 2053 = 0. What is the tens digit of t?
5
Let n(b) = 2149*b + 523. What is the ten thousands digit of n(23)?
4
Suppose 3*i = -4*b - 154, -4*i + 0*b - 3*b = 217. Let w be (-2 - -3*1)*(i + -10). What is the units digit of w/(-4)*-1*-5?
5
Suppose 5*i - 115755 = -5*o, 0 = i + 2*o - 3404 - 19748. What is the hundreds digit of i?
1
Let n be (-10)/(-35) - 300/(-28). Suppose n*h - 2*w = 8*h + 276, 3*h - 5*w = 276. What is the tens digit of h?
9
Suppose 4*m = 2*m - 8. Let n(a) = -11*a**3 - 5*a**2 + 2*a + 5. Let f be n(m). Suppose 5*d = s - 3*s + f, -4*d = 2*s - 496. What is the hundreds digit of d?
1
Let q(s) = 102*s**3 - 11*s**2 - 11*s + 15. What is the units digit of q(2)?
5
Let n(l) = 7*l**2 - 16*l - 255. What is the thousands digit of n(-30)?
6
Suppose -3*o + 11 - 5 = 0. Suppose 5*s = r + 26 + 20, -r + 44 = 5*s. Let x = s + o. What is the units digit of x?
1
Let h = 526 - 520. Suppose -h*u + 1100 = -3502. What is the hundreds digit of u?
7
Suppose 163823 = 19*g - 323014. What is the ten thousands digit of g?
2
Let m be (3/(-3))/(2/6). Let s be m/(-24) - ((-1795)/(-8))/(-5). Suppose 40*b - s*b + 1075 = 0. What is the units digit of b?
5
Let y(p) = 12*p**2 - 8*p - 7. Let k be y(-1). Suppose 15*b = k*b + 3*u + 79, 3*b = u + 115. What is the units digit of b?
8
Suppose g - 3*t - 471 = -8*t, 0 = -2*g - 2*t + 918. Suppose 68*l - g = 66*l. What is the units digit of l?
8
Suppose 2*l = 5*g - 178 - 37, 3*g - 150 = -3*l. Suppose -22*b - 2898 = -g*b. What is the hundreds digit of b?
1
Let z(y) = 11*y**3 + 18*y**2 - 53*y + 441. What is the hundreds digit of z(13)?
9
Suppose 5*b = -3*v + 1219, 2*v - 11*b - 776 = -7*b. What is the units digit of v?
8
Let v(h) = 3*h**3 - 46*h**2 + 3*h - 66. What is the units digit of v(19)?
2
Let s(f) = -f**3 + 3*f**2 - 19*f + 7. Let d be 60/(-15) - (6 + -1). Let r be s(d). Suppose -3*b = -8*b + r. What is the tens digit of b?
3
Let j = -2531 + 6205. Let t = -1947 + j. What is the thousands digit of t?
1
Suppose 0 = 11*f + f - 1044. What is the tens digit of -2*1 + -1 + 6699/f?
7
Let k be 1500 + -5 + (-2)/2. What is the hundreds digit of ((-4)/3)/((-3)/k)?
6
Let s(u) = -57*u - 7 - 10 - 13. Let p be s(-3). Suppose 13*i - 12*i = p. What is the hundreds digit of i?
1
Suppose -147*g = -151*g + 6096. Suppose 6*k = 2610 + g. What is the tens digit of k?
8
Let z be (-43)/(-15) + (-18)/(-135) - 63. What is the tens digit of 5*(-1 - (z - -7))?
6
Suppose 2 = -0*m - m - i, -5*i = -3*m - 6. Let u be 339 + ((-4)/m - -2). Suppose 4*z = -3*z + u. What is the tens digit of z?
4
Let b(j) be the third derivative of -j**4/4 + 7*j**3/3 + 5*j**2. Let a be b(3). What is the units digit of a/(-10) - 686/(-35)?
0
Let x = 694 + -352. Let q = x - 198. Suppose 0*v = 3*v - 3*h - q, 5*
|
{
"pile_set_name": "DM Mathematics"
}
|
3))*-6?
9
Let q = -32 + 7. Let p = 36 + q. What is the tens digit of p?
1
Let x = 4 + -4. Let m be x + (6 + 1 - -2). What is the units digit of 0 + -3*(-6)/m?
2
Suppose -153 = -3*x + 5*a + 251, a = 2. What is the units digit of x?
8
Let o(u) = -12*u + 1. What is the units digit of o(-3)?
7
Let r(a) = -a + 2. Suppose -2*b + 57 = -5*b - 4*v, 4*b + 4*v + 72 = 0. What is the tens digit of r(b)?
1
Let g = -4 + 8. Suppose o + g*o = -50. Let w(s) = -s**2 - 10*s + 6. What is the units digit of w(o)?
6
Suppose 2*b = t + 15, 4*b + 0*t + 4*t = 48. Suppose b = 2*l - 13. What is the tens digit of l?
1
Suppose -164 = -7*i + 3*i. What is the tens digit of i?
4
Let m(j) = -2*j - 4. Let w be m(-3). Suppose -t + 6*t + 5*o - 150 = 0, 3*o = w*t - 50. What is the units digit of t?
8
Let k(l) = l**3 - 3*l**2 - 3*l - 2. Suppose 2*a + 0 = 8. Let t be k(a). Let i(v) = v**3 + 2*v**2 - 2*v - 2. What is the tens digit of i(t)?
1
Let g(h) = -h**3 + 8*h**2 + 11*h - 9. Suppose 0 = t - 9. What is the units digit of g(t)?
9
Suppose 2*v - 139 = -3. What is the units digit of v?
8
Let o(i) = 32*i - 3. What is the units digit of o(2)?
1
Let n(y) = y**3 + 3*y**2 - 7*y + 6. What is the tens digit of n(4)?
9
Suppose -5*p = -3*p - 6. Let u = 2 + p. Suppose 50 = -0*a + u*a. What is the units digit of a?
0
Suppose -1302 = 8*r - 22*r. What is the tens digit of r?
9
Let g(h) = 19*h**3 - h**2 - 7*h + 1. Let t(b) = -19*b**3 + b**2 + 6*b - 1. Let a(z) = -6*g(z) - 7*t(z). What is the units digit of a(1)?
9
Suppose 0 = 3*f - 2 + 38. Let x = f - -24. What is the tens digit of x?
1
Let z(x) = -2*x**3 - 2*x**2 + 6*x - 13. Let m(v) = v**3 + v**2 - 3*v + 6. Let h(q) = -9*m(q) - 4*z(q). What is the units digit of h(-3)?
7
Let i(d) be the first derivative of d**2/2 + 12*d - 3. What is the units digit of i(-11)?
1
Suppose -u + 122 - 3 = 0. What is the hundreds digit of u?
1
Let b be -3 + (-2)/6*-3. Let w(m) = -11*m - 2. Let q be w(b). Suppose -5*c + q = 2*s + 3*s, -5*c + 29 = 2*s. What is the units digit of c?
7
Let w = -47 - -72. What is the units digit of w?
5
Suppose 0 = -2*y + 5*y. Suppose -5*z = -3*l - 131, y = -3*z + 4*l - 17 + 89. Suppose 3*r - 2*u = z, 37 - 93 = -3*r - 5*u. What is the units digit of r?
2
Let r(q) be the third derivative of -q**5/60 + 5*q**4/12 + q**3/2 + 4*q**2. What is the units digit of r(8)?
9
Let t(a) = -2 - 4*a - 1 + 3. What is the units digit of t(-1)?
4
Suppose p = 3*p - 20. Suppose 4*y - b - 21 - 165 = 0, 0 = 5*b + p. What is the tens digit of y?
4
Let g(v) = v**2 + v + 2. Let b be g(-3). Let x be (-12)/b*8/(-3). Suppose -x = -2*o - q + 3, 2*q - 9 = o. What is the units digit of o?
1
Let w = 0 + 4. Let o = 6 + w. What is the units digit of o?
0
Let f(g) = 2*g. Let p = -3 - -3. Suppose -4*r + 14 + 6 = p. What is the units digit of f(r)?
0
Suppose -5*l + 42 = -2*g, l - 2*g - 2*g = -6. Suppose 5*y + 2*n = -n + 90, 2*n = -l. What is the tens digit of y?
2
Let u be 16/6 + (-4)/(-12). Suppose 100 = -0*x + 5*x + 5*o, -5*o = -u*x + 100. What is the units digit of x?
5
Let v = -4 + 21. Let f = -9 + v. Suppose -3*t + 25 = -f. What is the units digit of t?
1
Suppose 5*u - 6 = -3*i, -3*u + i - 2*i + 6 = 0. Suppose b - 21 = -2*m, 2*m - 52 = -3*m - 3*b. Let q = m - u. What is the units digit of q?
8
Let t = 6 - -9. Suppose -t = -5*o - 0. Suppose 0*y = -o*n - y + 8, -n - 5*y + 26 = 0. What is the units digit of n?
1
Suppose -3*t + 4*w + 29 = 0, -3*w - 2*w = -4*t + 37. Let g be (-1)/((-1)/(-2)) + 2. Suppose g = f + t - 6. What is the units digit of f?
3
Let b = 33 - 68. Let h = -9 - b. What is the tens digit of h?
2
Let z = -21 + 27. What is the units digit of z?
6
Let i = 1237 + -879. What is the tens digit of i?
5
Let k = -6 - -26. Let h = k + -3. What is the units digit of h?
7
Let t(o) = -o - 5. Suppose 2*j = -h - 29, 1 = 2*j - 3*h + 10. What is the units digit of t(j)?
7
Suppose 3*h - 2*m - 426 = 0, 0 = -7*h + 3*h + 2*m + 568. What is the tens digit of h?
4
Let t = 28 + -16. What is the tens digit of t?
1
Suppose 0 = g - c - 256, -7*c = -2*c - 10. What is the units digit of g?
8
Suppose -2*o + 3 = -19. Let r = 15 - o. What is the units digit of r?
4
Let a(m) = -m**2 - 8*m + 2. Let i be a(-6). What is the units digit of ((-3)/(-1) - 2)*i?
4
Suppose 0 = 4*g - 7 - 101. What is the tens digit of g?
2
Suppose -26 = -3*b - h, -2*b - 2 = -4*h + 4. Let w(p) = 2*p**3 - p**2 - 3*p**3 + b*p + 6*p**2. What is the units digit of w(6)?
6
Suppose 44 - 148 = -4*f. What is the tens digit of f?
2
Let j(w) = 6*w**2 - 6*w - 4. Let b be j(-5). Suppose 0 = -5*m - 1 + b. What is the tens digit of m?
3
Let u(p) = -p**3 - 5*p**2 + 3*p - 1. Let g be u(-6). Let y = 6 + g. What is the tens digit of y?
2
Let u(w) = -17*w - 5. Let n be u(-6). Let c = 157 - n. What is the units digit of c?
0
Let s = 7 - 13. Let k be ((-2)/s)/(1/3). Let f = k + 0. What is the units digit of f?
1
Suppose 2*p = 4*p - 30. Suppose 21 + p = 4*r + 2*f, 2*r - 5*f - 18 = 0. What is the units digit of r?
9
Let i(j) = j**2 - 3*j - j**3 + 2*j - 5*j**2 - 2. What is the units digit of i(-4)?
2
Let s be 3 - 12/4 - -32. Suppose 0*z - s = -2*z. What is the units digit of z?
6
Let c(k) = 16*k**2 - 2*k - 1. Let i = 8 + -9. What is the units digit of c(i)?
7
Let y(p) = 3 - 11 + 0 + 7 + 15*p. What is the tens digit of y(1)?
1
Let w(a) = 3*a - 8. Let p be w(3). Suppose 0 = 3*j - 2*j. What is the units digit of p*(1 + j)*5?
5
Let f = 130 + 14. Suppose -w - 4*u + 23 = 0, -5*u + 1 = 5*w - f. What is the units digit of w?
1
Suppose 5*m = 4*m - 1. Let h be 1 + m + (0 - 0). Suppose 3*y - y - 4 = h. What is the units digit of y?
2
Suppose 5*j + 110 = 3*p - p, p - 5*j = 50. What is the tens digit of p?
6
Let t be 64/3 - 2/6. Let b = 31 - t. Suppose b = 2*g + p - 3*p, -15 = -3*g - 4*p. What is the units digit of g?
5
Let p = 0 - 1. What is the tens digit of -23*1*(0 + p)?
2
Let x(a) = 16*a - 12. What is the units digit of x(6)?
4
Let w be 1*4*(-4 - -3). Let z = 9 + w. What is the units digit of z?
5
Let d = -4 + 8. Let p(m) = 8*m - m**2 - m - 6 + 0*m**2. What is the units digit of p(d)?
6
Let d(c) = c**2 - 6*c - 8. Let t = -1 - -5. Let f be t/2 + 2*3. What is the units digit of d(f)?
8
Let s(i) = 2*i**2 + 10*i - 4. What is the units digit of s(-9)?
8
Let y = 1 - 4. Let k = y - -7. What is the units digit of k?
4
Suppose -2*j + 299 = -65. What is the tens digit of j?
8
What is the hundreds digit of (-8)/(-20) - 743/(-5)?
1
Let w = -79 + 143. What is the units digit of w?
4
Let s be -12*(3 - 20/6). Suppose -5*o = -o + 12, -2*o = 3*x - 9. Let r = x - s. What is the units digit of r?
1
Let r be 32/(-6) + 4/(-6). Let t(i) = i**2 + 7*i + 3. Let d be t(r). What is the units digit of ((-14)/(-6))/((-1)/d)?
7
What is the units digit of 4*(-4)/((-16)/6)?
6
Let q be (-2)/(-2) + 4/(-4). Let t be 0 + q*(3 - 2). Suppose -w - 1 + 3 = t. What is the units digit of w?
2
Let h(j) be the second derivative of j**3/6 + 2*j**2 - j. Suppose 0 = -5*a - 2*i, -a - 5*i = 2*a. What is the units digit of h(a)?
4
Let k(u) = u**3 - u**2 + 10. What is the hundreds digit of k(5)?
1
Suppose -12*p - 312 = -16*p. What is the units digit of p?
8
Suppose 5*k + 4*z - 48 = 3*k, -z - 153 = -5*k. What is the units digit of k?
0
Let b be -4 + 8 - 0 - -5. Let s = -6 - -2. Let w = b - s. What is the units digit of w?
3
Suppose 3*l + 3*a = 3, -5*a - 2 = 3*l - 3*a. Let c(w) = 2*w**2 + 7*w + 6. What is the units digit of c(l)?
0
What is the tens digit of ((-2)/(-4))/((-13)/(-5356))?
0
Let f(o) = o**3 + 7*o**2 - 7*o - 1. Let k be f(-8). Let h(p) be the second derivative of -p**5/20 - 3*p**4/4 + p**2 + 2*p. What is the units digit of h(k)?
2
Suppose 0 = -5*g + 3*o + 4, -4*o + 5 = -2*g + 1. Suppose g*i - 44 + 16 = 0. Suppose -2*v - i = -4*v. What is the units digit of v?
7
Let t be 1*12*(-3)/(-9). Suppose -t*g + 2*a - 12 + 54 = 0, 5*a - 64 = -3*g. What is the units digit of g?
3
Let r = 28 + -12. Let w be (r/(-20))/(2/(-5)). Suppose 1 = -w*s + 3. What is the units digit of s?
1
Suppose 5*r + 2 = -4*c, 4*c - 2*r - 8 = 2*c. Let v = c - -11. What is the tens digit of v?
1
Let z(g) = -g**2 + 15*g - 11. Let a be z(14). Suppose u = a*u - 26. What is the tens digit of u?
1
Suppose -2*a + 21 = -5*a. Let s = -4 - a. What is the units digit of s?
3
Let y = 1 + 1. Suppose -2*v + 2 + 8 = 3*u, u + 10 = 2*v. Supp
|
{
"pile_set_name": "DM Mathematics"
}
|
grams are there in six fifths of a gram?
1200
How many millilitres are there in 3/40 of a litre?
75
Convert 522289.6km to micrometers.
522289600000000
Convert 32588.9l to millilitres.
32588900
What is 31/5 of a century in years?
620
How many months are there in 31/2 of a century?
18600
How many meters are there in seven quarters of a kilometer?
1750
What is 94643.66 meters in millimeters?
94643660
How many microseconds are there in 81835.37 nanoseconds?
81.83537
What is five quarters of a decade in months?
150
How many centuries are there in 61847.15 millennia?
618471.5
What is one fifth of a millennium in decades?
20
How many nanoseconds are there in fourty-eight fifths of a microsecond?
9600
Convert 27.195822us to minutes.
0.0000004532637
Convert 7.30705 micrometers to centimeters.
0.000730705
How many millilitres are there in 8.295121l?
8295.121
How many millimeters are there in thirty-seven fifths of a centimeter?
74
What is 5/8 of a millimeter in micrometers?
625
Convert 74220640.2ns to weeks.
0.0000001227193125
What is 496.4766 meters in nanometers?
496476600000
What is 1526.78nm in meters?
0.00000152678
What is 1945.7838 months in millennia?
0.16214865
What is 3/16 of a kilometer in centimeters?
18750
Convert 11.10411ms to minutes.
0.0001850685
Convert 20918.424 months to years.
1743.202
What is one sixth of a century in months?
200
How many centuries are there in 953196.9 years?
9531.969
What is 6.283448 years in millennia?
0.006283448
How many grams are there in five eighths of a kilogram?
625
How many months are there in thirty-one fifths of a decade?
744
How many milligrams are there in 0.1722107 micrograms?
0.0001722107
How many millilitres are there in 1/5 of a litre?
200
Convert 4446.003l to millilitres.
4446003
What is 4.396896 hours in minutes?
263.81376
What is 966.8798 kilometers in nanometers?
966879800000000
How many decades are there in 115219.59 months?
960.16325
What is 39716.691 days in weeks?
5673.813
How many minutes are there in twenty-six sevenths of a week?
37440
What is 21/5 of a litre in millilitres?
4200
How many tonnes are there in 279097.8 micrograms?
0.0000002790978
Convert 70928.63 millilitres to litres.
70.92863
How many millilitres are there in 868.546 litres?
868546
Convert 3481.35kg to nanograms.
3481350000000000
How many kilometers are there in 2.999567 micrometers?
0.000000002999567
What is 6/5 of a hour in seconds?
4320
How many months are there in 0.6342427 centuries?
761.09124
Convert 234056.6 weeks to nanoseconds.
141557431680000000000
Convert 8153.633um to kilometers.
0.000008153633
How many millimeters are there in one quarter of a meter?
250
Convert 87.55216 milligrams to tonnes.
0.00000008755216
What is 17/2 of a decade in years?
85
What is 42/5 of a litre in millilitres?
8400
Convert 0.3573119 weeks to microseconds.
216102237120
How many minutes are there in sixteen fifteenths of a week?
10752
Convert 0.8314427 tonnes to nanograms.
831442700000000
How many milliseconds are there in 4/15 of a minute?
16000
Convert 69.3071 minutes to microseconds.
4158426000
Convert 2660.58um to millimeters.
2.66058
How many centuries are there in 0.085783 millennia?
0.85783
How many grams are there in 0.1611333 nanograms?
0.0000000001611333
What is one quarter of a litre in millilitres?
250
How many micrograms are there in 7.783308 milligrams?
7783.308
What is thirty-one halves of a tonne in kilograms?
15500
What is 25/4 of a millennium in decades?
625
Convert 15002.03ug to tonnes.
0.00000001500203
Convert 192960.2g to tonnes.
0.1929602
How many milligrams are there in thirteen fifths of a gram?
2600
How many kilograms are there in 9326.943ng?
0.000000009326943
What is twenty-seven halves of a millimeter in micrometers?
13500
How many decades are there in 16674.261 months?
138.952175
What is 33/5 of a millennium in months?
79200
What is 366.2865 decades in centuries?
36.62865
How many grams are there in three fifths of a kilogram?
600
How many kilograms are there in one quarter of a tonne?
250
What is 3/32 of a kilometer in centimeters?
9375
How many millimeters are there in 3/5 of a meter?
600
What is 11/2 of a microgram in nanograms?
5500
What is 703.8682 years in decades?
70.38682
What is 4.626196 grams in kilograms?
0.004626196
How many months are there in seven sixths of a millennium?
14000
Convert 15442.68 millilitres to litres.
15.44268
How many micrometers are there in 7/2 of a centimeter?
35000
What is 713.406 grams in tonnes?
0.000713406
How many years are there in 21/4 of a millennium?
5250
Convert 4478.525 years to millennia.
4.478525
What is 85.70425 seconds in milliseconds?
85704.25
What is 8/25 of a hour in seconds?
1152
How many millimeters are there in 0.738558 centimeters?
7.38558
What is 7079.943 millilitres in litres?
7.079943
What is 1/20 of a kilogram in grams?
50
What is 0.092291 milligrams in micrograms?
92.291
What is 3/5 of a gram in milligrams?
600
What is 21/2 of a millennium in decades?
1050
What is 78145.46 milligrams in kilograms?
0.07814546
How many micrometers are there in 6/25 of a millimeter?
240
Convert 607.0436 kilograms to nanograms.
607043600000000
How many nanograms are there in 84549.4 kilograms?
84549400000000000
How many seconds are there in 5/4 of a minute?
75
How many millilitres are there in eleven quarters of a litre?
2750
How many micrograms are there in 3/50 of a gram?
60000
What is 0.6433984 nanoseconds in seconds?
0.0000000006433984
How many millilitres are there in seven halves of a litre?
3500
How many millilitres are there in sixty-four fifths of a litre?
12800
What is 7/2 of a centimeter in millimeters?
35
How many nanograms are there in fifty-one fifths of a microgram?
10200
What is eight thirds of a millennium in months?
32000
What is 1/20 of a millimeter in micrometers?
50
What is 709.3604 nanograms in grams?
0.0000007093604
What is 8619.555 millennia in months?
103434660
What is 7/3 of a week in hours?
392
How many micrometers are there in 8/25 of a centimeter?
3200
How many days are there in 680136.48ms?
0.00787195
How many kilograms are there in 0.6004547 tonnes?
600.4547
How many millilitres are there in 7/2 of a litre?
3500
What is 37/5 of a gram in milligrams?
7400
Convert 61392.02 micrometers to meters.
0.06139202
What is 3.015867 minutes in milliseconds?
180952.02
What is eleven halves of a litre in millilitres?
5500
What is 5.467152km in centimeters?
546715.2
How many kilograms are there in 53/4 of a tonne?
13250
How many months are there in 4/3 of a century?
1600
How many millilitres are there in fifty-three fifths of a litre?
10600
How many millilitres are there in 5/4 of a litre?
1250
What is 6/5 of a meter in centimeters?
120
How many millilitres are there in fifty-one halves of a litre?
25500
How many nanograms are there in 11/2 of a microgram?
5500
What is 1/5 of a decade in months?
24
How many millimeters are there in 93/4 of a meter?
23250
How many hours are there in 25/2 of a day?
300
What is 2.770081 litres in millilitres?
2770.081
What is 0.5817857 micrometers in kilometers?
0.0000000005817857
What is fourty-two fifths of a centimeter in micrometers?
84000
What is 997279.5 centuries in years?
99727950
How many meters are there in 83588.2 millimeters?
83.5882
What is 3.212228ml in litres?
0.003212228
How many micrometers are there in 18/5 of a centimeter?
36000
What is 28829.397 months in decades?
240.244975
How many hours are there in seven quarters of a week?
294
How many nanometers are there in seven halves of a micrometer?
3500
How many kilograms are there in 29/2 of a tonne?
14500
What is 21/4 of a microgram in nanograms?
5250
What is seven thirds of a minute in seconds?
140
How many millilitres are there in 3/10 of a litre?
300
How many nanoseconds are there in 6/5 of a microsecond?
1200
Convert 33001.65 nanometers to meters.
0.00003300165
How many months are there in seven sixths of a century?
1400
How many kilograms are there in 59.29603 grams?
0.05929603
What is three fifths of a litre in millilitres?
600
How many milligrams are there in 0.7419332 kilograms?
741933.2
What is seven sixths of a hour in seconds?
4200
What is twenty-one fifths of a decade in years?
42
Convert 7845.013l to millilitres.
7845013
What is 1/10 of
|
{
"pile_set_name": "DM Mathematics"
}
|
- 75*i**2 + 9628*i)*(0*i + i + i) + 0*i**3 + 3*i**3 - 5*i**3 - 3*i**3 + i - i to p + g*i**3 + z*i**2 + d*i and give g.
-155
Rearrange 43 + 42 + 107*o + 134*o - 85 to the form y + n*o and give n.
241
Express -23 - 10 + 55 - 22 - 285*k**2 in the form g*k**2 + u*k + l and give g.
-285
Express 1 + 114*y**4 + 124*y**4 - 236*y**4 + 79*y**2 - 2*y**3 in the form s*y + f*y**4 + m + w*y**3 + q*y**2 and give m.
1
Express (112*f**2 + 69*f**2 + 11*f**2)*(1 - 2 + 5)*(-1 - 2*f + 1) in the form a + c*f**2 + j*f + s*f**3 and give s.
-1536
Express (-4*y + 0 + 0)*(-5 + 6 + 13)*((-1 - y + 1)*(3 - 1 - 1) - 4*y + 2 + 3*y - 4) as w*y**2 + i*y + q and give w.
112
Express 0*v**3 + 2*v**3 - v**3 + (-8*v**2 - 15*v**3 + 8*v**2)*(21 - 54 + 24) - 2*v**3 + 3*v**3 + 2*v**3 in the form u + r*v + k*v**3 + o*v**2 and give o.
0
Express -53*o - 5*o**2 - 31*o + 68*o in the form j*o**2 + x*o + q and give x.
-16
Rearrange 2*o**2 - o**2 + 2453*o - 2521*o to m + n*o + f*o**2 and give n.
-68
Rearrange -k**4 - 2*k**2 - 16*k**3 + 802*k - k**4 - 804*k to o + h*k + r*k**2 + j*k**4 + q*k**3 and give h.
-2
Express 9433 - 9433 + 69*q as w*q + v and give w.
69
Rearrange (-3*j + 5*j - j)*(0 - 2 - 1)*(-5*j + 2*j - 6*j) to d*j + g + q*j**2 and give q.
27
Express (31 + 160*n - 317*n + 155*n)*(-4 + 1 + 2) as a*n + r and give a.
2
Rearrange (-5*u + 17*u - 40*u + (u + u - 4*u)*(4 - 2 - 3))*(u + 0*u + u) + 3*u**2 + 3*u**2 - 2*u**2 to the form n*u + t*u**2 + b and give b.
0
Rearrange 4*q**3 - 4*q**3 - 2*q**3 + (5*q**2 - 4*q**2 - 2*q**2)*(-2 + 3 - 2)*(-3*q + q - 22*q) to the form x*q + p*q**3 + b + w*q**2 and give p.
-26
Express 151*z**3 + 155*z**3 - z**2 - 2*z + 3*z**2 + 1 - 308*z**3 - 52*z in the form b*z**2 + m*z**3 + t*z + g and give m.
-2
Rearrange n - 67986*n**2 - 343*n**3 + 67986*n**2 to the form u*n**2 + i*n + g*n**3 + k and give g.
-343
Express 3*g**2 - 54778*g**3 + 56805*g**3 + 0*g**2 - 3*g**2 + (2*g**2 + g**2 - 5*g**2)*(-3*g - g + 5*g) as u*g**3 + v + p*g**2 + z*g and give u.
2025
Express 11*m**4 + m**3 - 5 + 0*m**4 + 17 - 7*m**4 + 11 in the form b*m + a + n*m**2 + i*m**3 + r*m**4 and give i.
1
Rearrange 592*c + 136*c + 491*c + 474*c to r + g*c and give g.
1693
Rearrange -289 - 572 + 2*k + 2*k**3 - 2*k**2 + 1347 to the form z + f*k**3 + b*k + y*k**2 and give z.
486
Express 1352*q**2 + 14 - 9 - 7 + 2*q - 1384*q**2 in the form s + o*q + c*q**2 and give c.
-32
Express (-22651*u**2 + 2 + 9*u + 22651*u**2 + 2*u**3)*(-u - 4*u + 0*u) in the form n*u**3 + s + k*u**4 + a*u**2 + b*u and give k.
-10
Express (-4 + 4 + 5*m)*(-7*m**2 - 1 + 4*m**2 - 2) in the form h*m**2 + q + n*m + s*m**3 and give n.
-15
Express 44*i**2 + 113*i**2 + 379*i**2 in the form a*i**2 + g + c*i and give a.
536
Rearrange -502*p + 502*p - 459*p**3 - 2*p**2 to b*p**3 + g*p + i + h*p**2 and give h.
-2
Express ((-3 - 1 + 2)*(-g + 5 - 5) - 242 + 242 + 13*g)*((0 + 1 - 2)*(4 - 2 - 1) + 0 - 2 + 0) in the form l*g + r and give l.
-45
Express (-2*d**2 - 3*d**2 + 4*d**2)*(-d + 4*d - d + (4 + 2 - 4)*(3 - 3 + d))*(-5 + 28 + 21) in the form f*d**2 + y*d + x*d**3 + u and give x.
-176
Express (-2 + 4 + 0)*(-14*h + 51 - 51) - 5 + 4 + 16*h + 0*h + 0*h + 0*h + 2*h in the form n + q*h and give q.
-10
Express 3*a**2 + 5 - 4*a - 180*a**3 + 88*a**3 + 91*a**3 as d*a + t*a**3 + o*a**2 + b and give d.
-4
Rearrange -7 - 6*n**4 + 7 - n**4 + 39*n**4 - 4*n**4 + (-4 + n**3 + 4)*(2*n - 2 + 2) to the form v*n**4 + k*n + o*n**3 + y*n**2 + z and give v.
30
Express -5*w - 52*w**2 + 0*w**3 + 5*w**3 + 53*w**2 in the form h*w**3 + m + f*w**2 + p*w and give f.
1
Rearrange 2*c**3 + 83 + 0*c**4 - 81 + 3*c**4 + 3*c to the form z*c + a*c**3 + x*c**4 + p*c**2 + m and give a.
2
Express 44 + 6*r - 32 - 99 in the form a + v*r and give v.
6
Express -8 + 39 + 50*f - 15 - 11 in the form d + t*f and give d.
5
Rearrange -358*x**2 + 11390 - 11390 to f*x**2 + a*x + k and give f.
-358
Rearrange (79*m - 191*m - 215*m - 203*m)*(2 - 4 + 0) to r + y*m and give y.
1060
Rearrange (-3 + 0 + 4 + 9*o)*(-9*o**3 - o**3 + 15*o**3) to the form s*o**4 + i*o**3 + q*o + b + z*o**2 and give z.
0
Rearrange (5*v - 4*v - 3*v)*(-12*v + 11 - 8 - 1) to l*v**2 + y*v + h and give y.
-4
Express -m + 5*m - m - 51*m - 69*m + 13*m + (-1 + 1 - 2)*(0*m + 3*m - 2*m) in the form a + t*m and give t.
-106
Express -13*f - 168*f**2 + 3*f**3 + 168*f**2 as r*f**3 + q + b*f + x*f**2 and give b.
-13
Express 285*l**3 + 8 + 42 + 2*l**2 - 568*l**3 + 284*l**3 in the form v*l + p*l**3 + b + c*l**2 and give b.
50
Rearrange k + 185*k**3 + 193*k**3 + 20*k**4 - 2*k**2 - 376*k**3 to h*k**3 + t*k + b*k**2 + i*k**4 + z and give t.
1
Rearrange (2 - 1 - 2)*(-71 - 25*s - 4*s + 73) - 1 - 3*s + 1 to x*s + u and give x.
26
Rearrange -2 - 15*o + 10*o - 2*o**2 - 5 - 9*o**4 + 2*o**3 + 2 + 7*o to h*o**3 + q*o + t + w*o**4 + f*o**2 and give q.
2
Rearrange -3563*i**4 - 76*i**2 - 1 + 3565*i**4 + 3 to h + v*i**4 + b*i**3 + w*i + s*i**2 and give w.
0
Express 31952*n + 0 + 0 - 30789*n as w*n + d and give w.
1163
Express -h - 3*h + 2808593*h**2 - 2808577*h**2 - 37 + (2*h + 3 - 3)*(0 + h + 0) as p + u*h + g*h**2 and give p.
-37
Rearrange (-139 + 236 - 155)*(4 - 6 + 4 - 9*p) to y*p + m and give y.
522
Rearrange -31*m - 19*m - 13*m + 7 + 23*m**2 + 61*m to the form h*m + j + l*m**2 and give j.
7
Rearrange (-13 + 18*u + 13)*(-2 + 4 - 1) + (3 + 1 - 2)*(0*u + 0*u + u) to n + y*u and give y.
20
Express (10*n**2 - 5*n**2 + 5*n**2)*(19670 - n**2 + 3*n - 19670) as s*n + d*n**3 + j + r*n**2 + a*n**4 and give a.
-10
Express (0*p + 3*p - 2*p)*(-3 + 2 - 1)*(-60 - 17*p + 60) in the form w + u*p**2 + s*p and give u.
34
Rearrange -100*d**3 + 92*d**3 + 104*d - 110*d to f*d + p*d**2 + k*d**3 + a and give f.
-6
Express (5 - 3 + 0 - 1 - 2 + 2 + (-34 + 71 + 47)*(1 + 2 - 2))*(0 + 0 + o) as d + t*o and give t.
85
Rearrange (-21*r + 0*r - 20*r)*(-4 + 4 + 2*r) - 2*r**2 + 3*r**2 + r**2 to the form v + h*r**2 + w*r and give w.
0
Express 2*g**2 + 0*g**2 + 0*g**2 + (-4*g**2 + 2*g**2 + 0*g**2)*(3 + 0 - 5) + 4 + 12*g**2 - 4 in the form w*g**2 + i*g + j and give w.
18
Rearrange (-150*n**3 + 97*n**3 + 81*n**3)*(478 - 478 + 27*n) to the form g*n + v + h*n**2 + z*n**3 + u*n**4 and give h.
0
Rearrange n**2 - 2*n**4 - n**3 - 8*n + 4*n - 2*n - 1 + 7*n to o*n**3 + g*n**2 + h*n**4 + j*n + k and give k.
-1
Express (4*v - 2*v + 41864 - 41826)*(-1 + 1 + 2)*(-1 + 1 + 5 + (-2 + 2 + 1)*(1 - 2 + 0)) as d + s*v and give s.
16
Express (-7*x**2 + 5*x**2 + 18*x + 4*x**2)*(-6*x**2 + x**2 + 18*x**2) as k*x + j + n*x**3 + u*x**2 + t*x**4 and give n.
234
Rearrange 750*b**2 - 356*b**2 - 344*b**2 to the form p*b**2 + h*b + y and give p.
50
Rearrange -600*z + 300*z + z**2 + 299*z + 2 - 6*z**3 - z**2 to f*z**2 + u*z**3 + r*z + n and give r.
-1
Rearrange (q**3 + 0*q + 0*q)*(20*q + 4*q - 8*q) + 42*q - 18*q**4 + 44*q - 86*q to the form w*q**2 + z*q + m + h*q**3 + y*q**4 and give y.
-2
Rearrange 0 + 2*m - 115*m**2 - 6*m + 0 - 20*m**2 to the form v + r*m + a*m**2 and give a.
-135
Rearrange -26 + 3*a - 11 - 20 - 2 + 0 to the form p*a + v and give p.
3
Express (-5*s + s + 5*s + 9)*(-1 + 8 - 5 + 4 - 4 + 4 + 2 - 2 + 1 + (-1 + 2 + 1)*(-3 + 2 + 2) - 3 + 3 - 1 + 0 + 2 - 1 + 1 + 0 - 3) as v*s + h and give h.
63
Express (15*s - 22*s + 22*s)*(9*s - 53*s + 17*s) in the form u*s + q*s**2 + g and give q.
-405
Express (-5*n + 3*n + n)*(1306*n - 126*n + 167*n)*(-5 + 1 + 2) in the form b*n**2 + u*n + s and give b.
2694
Rearrange -276*m**3 + 117*m**3 - 42*m**3 + (-4 - 4 + 6)*(-2*m + m**3 + 2*m) to g + p*m + c*m**2 + f*m**3 and give f.
-203
Rearrange -4*k - 2*k**3 + 0*k**3 + 14 - 13 + 10*k - 5*k to s + h*k**3 + r*k + l*k**2 and give r.
1
Express y**3 + 6*y - 621*y**2 - 2*y + 621*y**2 + 1 - 4*y**4 as x*y**4 + t*y + u*y**3 + h*y**2 + c and give u.
1
Express 5*y + 2 + y + 23191*y**3 + y**4 - 23193*y**3 - 4*y**2 as l*y + f*y**2 + s + w*y**4 + c*y**3 and give f.
-4
Express (1 + k - 1)*(2 - 5 - 14) + k + 503 + 0*k - 500 in the form s*k + c and give c.
3
Express (-6 + 0 + 3)*(-1 - 5 + 22)*(-2*u + u - 3*u) in the form y + g*u and give g.
192
Express (-k + k - 2*k)*(-4*k + 2*k + 3*k) + (-5*k + 3*k + 4*k)*(-2*k + 6*k + 3*k) + 1 - 1 + k**2 as z*k**2 + s + w*k and give z.
13
Express 6*i**4 - 13*i + 13*i + (0*i**2 + 0*i**2 - 2*i**3)*(3 + 0 - 7)*(-4*i + 3*i + 2*i) in the form v*i**4 + c*i + f + l*i**3 + p*i**2 and give v.
14
Express 407*a + 353*
|
{
"pile_set_name": "DM Mathematics"
}
|
atest common divisor of r and g.
8
Let x(i) = -6*i - 21. Let q be x(-8). What is the highest common divisor of 3 and q?
3
Suppose 6*v - 473 = -41. What is the highest common divisor of 24 and v?
24
Let l(z) = 21*z + 2. Let w be l(2). Let g be 200/11 + (-8)/w. Calculate the highest common factor of g and 2.
2
Suppose 4*m = -26 + 6. Let q = m - -9. Let h = -7 - -17. Calculate the highest common divisor of h and q.
2
Suppose 3*a + 100 = 8*a. Suppose 0 = -6*k + 5*k + 40. Calculate the greatest common divisor of k and a.
20
Let l be (-3)/(8 - 2)*78. Let y = -26 - l. What is the greatest common divisor of y and 117?
13
Suppose -29*c + 32 = -25*c. What is the greatest common factor of c and 104?
8
Let d = -46 - -52. What is the greatest common factor of 66 and d?
6
Let d = 10 + -7. Suppose -16 = d*c - 7*c. Calculate the highest common divisor of 12 and c.
4
Suppose 0 = -3*b - 647 + 161. Let m = -78 - b. Calculate the highest common divisor of 12 and m.
12
Let m = 11 - 5. Suppose 0*w + 4*w - 216 = 0. What is the greatest common factor of w and m?
6
Let r = 3 + -5. Let q be 48 + (-6)/((-4)/r). Suppose 15*a = 11*a + 20. Calculate the greatest common divisor of a and q.
5
Let p(w) = -w**3 - w**2 - 3*w + 4. Let m be p(-2). What is the greatest common divisor of 252 and m?
14
Let c be (-2 - 0)*(-3 - 2). Let q be (-126)/(-5) + (-3)/15. Calculate the highest common divisor of c and q.
5
Let r be (8/(-100)*-10)/(4/110). Calculate the highest common factor of r and 242.
22
Let u be (0 - -1)*1 - 6. Let c be (2 - 1)/(u - -6). Let d be c/(3/3) + 53. What is the highest common divisor of 18 and d?
18
Let z = 34 - 2. Suppose -5*w + g = -0*g - 160, w - z = g. What is the greatest common factor of w and 8?
8
Let p = 184 + -132. Suppose 4*m + 4*x = 6*x + 46, 3*m - 54 = -5*x. Calculate the greatest common divisor of m and p.
13
Let l(y) = -6*y - 3. Let s be l(7). Let o = -4 - s. Let k = 104 - o. Calculate the highest common factor of k and 9.
9
Let d be 14/6 + (-2)/(-3). Suppose 0 = -5*y - c - d*c + 242, 5*c + 10 = 0. Suppose o - 2*o = -10. Calculate the greatest common factor of y and o.
10
Let s(g) = -3*g**2 - 4*g + 3. Let n be s(-4). Let d be (n - 11)/(-1 + -1). Calculate the highest common divisor of d and 30.
10
Suppose 74 = 2*p + 2*g, -4*p + 3*g = -g - 140. Calculate the greatest common divisor of p and 90.
18
Suppose 2*f + 4*x = 14, -2*f - 2 = -5*x + 2. Calculate the greatest common factor of f and 1.
1
Let y(m) = m**3 + 9*m**2 + 3*m + 2. Let o be y(-6). Calculate the highest common divisor of 23 and o.
23
Let x be (2 + -3)*-4 - 2. Let w be 5*x/((-4)/(-6)). Suppose -2*m + 106 = 16. What is the highest common divisor of m and w?
15
Let r be (-80 - 0)/(-2) - -2. Suppose 0 = -8*n + 12*n - 24. What is the highest common divisor of r and n?
6
Suppose -16*z + 1760 = -6*z. Calculate the greatest common divisor of 16 and z.
16
Suppose 2*f + 22 = 3*f. What is the greatest common divisor of f and 110?
22
Let k be 157/3 + (-20)/15. Let d = 135 - k. Suppose 0 = i + i - 24. Calculate the highest common divisor of i and d.
12
Let c = 420 - 251. Suppose 0 = -5*g + 66 + c. Let x = g - 8. Calculate the greatest common divisor of x and 13.
13
Let x(h) be the second derivative of -h**4/12 - 7*h**3/6 + 3*h. Let t be x(-5). What is the highest common divisor of 10 and t?
10
Let p = 4 - 2. Suppose -12 - 16 = -3*w - 2*z, p*z + 14 = 4*w. Let b be w/(-2) - 186/(-6). What is the highest common divisor of b and 7?
7
Suppose 1 + 14 = 3*k. Suppose 277 + 163 = k*r. Calculate the highest common divisor of 8 and r.
8
Let q be (-2)/(-9) - (-291)/27. Calculate the highest common divisor of 121 and q.
11
Let h = -12 + 27. What is the highest common factor of h and 105?
15
Suppose 2*h - 90 - 190 = 0. What is the greatest common divisor of 14 and h?
14
Let k(a) = a**3 + 3*a**2 - 2*a - 4. Let f be k(-3). Let r(n) = 9*n - 3. Let j be r(f). Calculate the highest common divisor of 60 and j.
15
Let a = -31 - -38. What is the greatest common factor of a and 77?
7
Suppose 3*h = i - 33, -2*i - 7 = 2*h - 33. What is the greatest common divisor of 9 and i?
9
Let p = 28 - 4. Suppose 2*a = 2*v + 4, 2*a - 3*v = 3*a + 6. Let f = 3 + a. Calculate the greatest common factor of f and p.
3
Suppose -12*r = -4*r - 1840. Calculate the highest common divisor of 92 and r.
46
Let m = -6 + 21. Suppose 0 = -2*z - z + m. Suppose 2*q + 3*q + 3*d - 5 = 0, -5*q - 2*d + z = 0. Calculate the greatest common factor of 11 and q.
1
Let x be 2/(-9) + (-58)/(-18). Let o be x*1*2/3. Let t be (o/(-5))/((-2)/280). What is the highest common factor of 14 and t?
14
Let w(c) = 1 - c**2 - c + 32*c**3 - 11*c**3 + 20*c**3. Let o be w(1). Suppose 116*k - 80 = 108*k. Calculate the highest common divisor of o and k.
10
Suppose -4*o = -3*g - 4, 0 = -2*g + 6*g - 5*o + 4. Let j(l) = 24*l**2 + 3*l. Let f be j(g). What is the greatest common divisor of f and 36?
36
Let o(m) = -m - 2. Let u be o(-2). Suppose -2*b = -u*b - 40. Calculate the highest common divisor of b and 180.
20
Let f = 1 - -8. Suppose 5*z + 0*z - 5*r = -5, 3*z + 3*r = f. Calculate the highest common factor of z and 4.
1
Let t be (-34)/(-9) + (-8)/(-36). Suppose 0 = -x - 1, x + 37 = 3*d - 0*x. Calculate the highest common divisor of t and d.
4
Let o be (1/(-2))/((-1)/22). Let h(y) = -y**2 - 12*y. Let w be h(-11). What is the highest common divisor of w and o?
11
Let l = -116 - -201. What is the greatest common divisor of l and 34?
17
Let s(h) = h**2 + h - 2. Let u(o) = -2*o**2 - o + 3. Let x(b) = -5*s(b) - 2*u(b). Let k be x(-3). What is the greatest common factor of 16 and k?
4
Suppose -p + 9 = -3. Suppose 17 + 3 = 5*t. Suppose 0 = 4*y + 4*j - 28, -4*y = -t*j - 76 + 8. What is the highest common factor of y and p?
12
Let x(p) = -6*p - 18. Let b be x(-9). What is the highest common factor of b and 27?
9
Suppose h + 3*s = 85, h + h - 150 = -2*s. Calculate the highest common factor of h and 14.
14
Let p = 142 + -98. Suppose 23 = q - j + 3*j, -2*q - 3*j + p = 0. Let z = q - 8. Calculate the highest common divisor of z and 33.
11
Suppose 2*r - 2 = 0, 5*a - 722 = 2*a + 4*r. Suppose 0 = i + 23 + 11. Let u = 56 + i. What is the greatest common factor of u and a?
22
Let a = 11 + -7. What is the highest common divisor of a and 4?
4
Suppose o = 2*o - 10. Suppose 0 = -2*q - q + 270. What is the greatest common divisor of q and o?
10
Let z(a) = -a**2 + 4*a + 5. Let k be z(6). Let s = 17 + k. Calculate the highest common factor of 20 and s.
10
Suppose 0 = 2*n + 3 - 17. What is the highest common divisor of n and 77?
7
Let f = -24 - -27. Calculate the highest common divisor of 9 and f.
3
Let f be 11 + (-4 - -4) + -1. Let j = 68 - 48. Calculate the greatest common factor of j and f.
10
Let p be 30/9*24/10. Let m be (-5)/20 - (-402)/p. Suppose -c - 1 = 3*i - 29, 4*i - 5*c - m = 0. Calculate the greatest common factor of i and 10.
10
Suppose -5*w - 73 = -5*o - 9*w, 3*o - 2*w - 57 = 0. Suppose 4*q + q - 224 = -4*c, -5*c + 239 = -4*q. What is the highest common factor of o and c?
17
Suppose -l = -5*p + 35, 3*p + 2*p + 4*l = 10. Let o = p + 4. Let b be (-51)/(-12) - (-9)/12. Calculate the greatest common factor of b and o.
5
Let p be (2/5)/((-12)/(-480)). Suppose 2*u = -3*d + 288, u - 144 = 6*d - 2*d. Calculate the greatest common factor of p and u.
16
Let h(z) = -20*z - 2. Let c be h(-4). What is the highest common factor of 52 and c?
26
Let j = -9 + 7. Let f be (-1)/((j/5)/2). What is the highest common factor of f and 25?
5
Let o(q) = -4*q - 1. Let x be o(-1). What is the highest common divisor of x and 33?
3
Suppose -5*q + 2*a - 3*a + 68 = 0, -2*q - 5*a + 41 = 0. Suppose q + 7 = 5*h. Calculate the greatest common divisor of h and 8.
4
Let x = -2 - -5. Suppose x*p + 5*z - 57 = 0, 5*p - 76 = p - 3*z. Let h be 2*(-1)/10 + 666/5. What is the highest common factor of p and h?
19
Let d(b) = 4*b**2 - 2*b - 2. Let i be d(-1). Suppose -i*h - 5 + 145 = 0. What is the greatest common factor of 14 and h?
7
Suppose 0 = 2*f + q - 421, -6*q - 599 = -3*f - q. Calculate the highest common factor of f and 52.
52
Let p = -5 + 9. Suppose -p*s = 2*j - 68, -2*j = 3*j - 20. Calculate the greatest common divisor of 5 and s.
5
Suppose v - 65 = 10. What is the greatest common factor of 15 and v?
15
Suppose 2*y + 3*y = 65.
|
{
"pile_set_name": "DM Mathematics"
}
|
ulate prob of sequence fmf when three letters picked without replacement from {f: 4, m: 3}.
6/35
Two letters picked without replacement from bbeebiqqiiibbqiip. Give prob of sequence be.
5/136
Three letters picked without replacement from hhfeclkk. Give prob of sequence hck.
1/84
Calculate prob of sequence tb when two letters picked without replacement from {k: 4, b: 2, t: 2, n: 1, c: 5}.
2/91
Calculate prob of sequence nsmm when four letters picked without replacement from {s: 1, n: 8, m: 4}.
4/715
Calculate prob of sequence pppu when four letters picked without replacement from {u: 4, p: 16}.
112/969
Calculate prob of sequence rrss when four letters picked without replacement from {r: 3, s: 17}.
4/285
What is prob of sequence bxqb when four letters picked without replacement from {q: 1, b: 3, x: 6, m: 2}?
1/330
Three letters picked without replacement from {r: 3, z: 7}. What is prob of sequence zrz?
7/40
Two letters picked without replacement from gddgggggggd. Give prob of sequence dd.
3/55
What is prob of sequence ta when two letters picked without replacement from xatih?
1/20
Calculate prob of sequence uagl when four letters picked without replacement from lalvgpu.
1/420
Two letters picked without replacement from clczbl. Give prob of sequence cl.
2/15
Four letters picked without replacement from dhhhhhhhhhdhhhhhhhhh. What is prob of sequence hdhd?
1/190
Two letters picked without replacement from ijiwjiiji. Give prob of sequence ij.
5/24
What is prob of sequence hn when two letters picked without replacement from hffhhnfh?
1/14
Three letters picked without replacement from {f: 5, m: 11, i: 2, h: 2}. What is prob of sequence hmh?
11/3420
Two letters picked without replacement from bccbbbbcbbb. Give prob of sequence cb.
12/55
Two letters picked without replacement from {m: 4, q: 3, j: 6, c: 2, b: 1}. Give prob of sequence mm.
1/20
What is prob of sequence kkkx when four letters picked without replacement from xkxkhhkxkk?
1/28
What is prob of sequence jv when two letters picked without replacement from {j: 5, v: 1, k: 1, s: 6, d: 2}?
1/42
Two letters picked without replacement from {l: 2, a: 4}. Give prob of sequence aa.
2/5
Four letters picked without replacement from {g: 2, l: 1, r: 1, u: 1, y: 1, h: 1}. Give prob of sequence rghu.
1/420
Calculate prob of sequence ffxd when four letters picked without replacement from fdfxffdddsk.
1/165
Three letters picked without replacement from {v: 1, p: 1, g: 2, z: 1, e: 1, b: 1}. What is prob of sequence gbe?
1/105
Two letters picked without replacement from tprritttrrttrrrrrrh. What is prob of sequence ti?
1/57
Two letters picked without replacement from mxxxxiwmxhxwlxi. Give prob of sequence li.
1/105
Two letters picked without replacement from jqjszlsqejesjjsjeej. What is prob of sequence sz?
2/171
Three letters picked without replacement from ggxgkgggggggg. Give prob of sequence kxg.
1/156
What is prob of sequence ggi when three letters picked without replacement from lsagaaaglqsgglilisls?
1/285
Two letters picked without replacement from ckiibdbx. Give prob of sequence bd.
1/28
Calculate prob of sequence ekv when three letters picked without replacement from kkvveevkkeeeveke.
1/24
Calculate prob of sequence dzd when three letters picked without replacement from dvzdvdzdvdvvdddd.
3/70
What is prob of sequence ll when two letters picked without replacement from {l: 3}?
1
What is prob of sequence vmvv when four letters picked without replacement from {v: 9, m: 3}?
7/55
Three letters picked without replacement from {y: 5, a: 5}. Give prob of sequence aaa.
1/12
What is prob of sequence qbeg when four letters picked without replacement from {b: 2, g: 2, h: 1, e: 1, q: 2, j: 1}?
1/378
What is prob of sequence gcg when three letters picked without replacement from {b: 1, c: 2, g: 2}?
1/15
Calculate prob of sequence jw when two letters picked without replacement from {s: 1, j: 2, g: 1, e: 3, w: 4, z: 4}.
4/105
Calculate prob of sequence al when two letters picked without replacement from vaallelrlrrrrep.
4/105
Calculate prob of sequence ppy when three letters picked without replacement from {y: 1, l: 2, j: 1, p: 11}.
11/273
Four letters picked without replacement from {i: 7}. Give prob of sequence iiii.
1
What is prob of sequence wp when two letters picked without replacement from {w: 3, p: 3, b: 1, r: 4}?
9/110
Four letters picked without replacement from xaqbaqbjjaaaqbbb. What is prob of sequence bjaq?
5/1456
Four letters picked without replacement from {c: 6, x: 12}. Give prob of sequence xxxx.
11/68
Four letters picked without replacement from hjjlllhljljlj. Give prob of sequence jhhj.
1/429
Two letters picked without replacement from ggddmxmmgcmdxgmxmmm. Give prob of sequence cx.
1/114
Calculate prob of sequence gu when two letters picked without replacement from {g: 1, u: 3}.
1/4
What is prob of sequence dq when two letters picked without replacement from vdqnv?
1/20
Four letters picked without replacement from ugwunfwfngfunuttfw. What is prob of sequence gwgu?
1/3060
Four letters picked without replacement from {o: 2, p: 7, r: 5, x: 1, h: 1}. What is prob of sequence oprr?
1/156
Calculate prob of sequence www when three letters picked without replacement from dddddwddwdwddw.
1/91
Three letters picked without replacement from zzzzzzzzz. What is prob of sequence zzz?
1
Calculate prob of sequence ib when two letters picked without replacement from {b: 1, s: 1, i: 1}.
1/6
What is prob of sequence ud when two letters picked without replacement from {d: 3, s: 1, u: 1, f: 2}?
1/14
Three letters picked without replacement from diddiiiikikiiii. What is prob of sequence iii?
24/91
Two letters picked without replacement from {v: 1, d: 2, k: 1, t: 8, e: 3, f: 1}. What is prob of sequence df?
1/120
Two letters picked without replacement from vfdfhfd. What is prob of sequence fv?
1/14
Calculate prob of sequence ge when two letters picked without replacement from pgixpwieepiiwwxeexwx.
1/95
Four letters picked without replacement from {y: 12, h: 3}. Give prob of sequence hhyh.
1/455
Two letters picked without replacement from cxahxxl. What is prob of sequence al?
1/42
Three letters picked without replacement from {m: 7, u: 2, s: 4, k: 5, d: 1, r: 1}. Give prob of sequence skk.
2/171
Two letters picked without replacement from {z: 5, u: 5}. Give prob of sequence zz.
2/9
What is prob of sequence xpg when three letters picked without replacement from gpmrx?
1/60
Calculate prob of sequence jjq when three letters picked without replacement from {j: 2, q: 6}.
1/28
Two letters picked without replacement from eottstteeo. What is prob of sequence ot?
4/45
Three letters picked without replacement from {x: 1, g: 2, s: 1, q: 1, v: 2, r: 2}. Give prob of sequence gsq.
1/252
What is prob of sequence mo when two letters picked without replacement from {k: 2, m: 3, o: 2, j: 1, q: 3, u: 3}?
3/91
Two letters picked without replacement from {i: 7, h: 4, v: 5, g: 2}. What is prob of sequence hv?
10/153
Four letters picked without replacement from {s: 1, x: 2, m: 1, n: 3}. Give prob of sequence nnns.
1/140
Two letters picked without replacement from qswgllqggwwd. What is prob of sequence ww?
1/22
Three letters picked without replacement from {d: 6, l: 13}. Give prob of sequence ddd.
20/969
Two letters picked without replacement from hhhhpkkhhhhhhh. What is prob of sequence ph?
11/182
What is prob of sequence khi when three letters picked without replacement from {i: 2, k: 3, h: 3}?
3/56
Four letters picked without replacement from ssmubusuus. What is prob of sequence ubuu?
1/210
What is prob of sequence xl when two letters picked without replacement from xllxbllblbkdox?
15/182
Three letters picked without replacement from fffffcfcfffzzfc. Give prob of sequence czz.
1/455
Two letters picked without replacement from fruurmrrurzmurrruurr. Give prob of sequence ru.
3/19
Calculate prob of sequence rutu when four letters picked without replacement from {r: 1, t: 8, u: 8}.
2/255
Three letters picked without replacement from {f: 3, b: 2, h: 5, e: 7}. What is prob of sequence eeb?
7/340
What is prob of sequence pp when two letters picked without replacement from {y: 1, p: 17}?
8/9
Calculate prob of sequence adgd when four letters picked w
|
{
"pile_set_name": "DM Mathematics"
}
|
1034181 to 4 dps.
0.1034
What is -0.0032738347 rounded to 5 dps?
-0.00327
Round 1016.222 to the nearest 100.
1000
What is 0.950636 rounded to 2 decimal places?
0.95
What is 4.413059 rounded to two dps?
4.41
What is -0.0005134944 rounded to four dps?
-0.0005
Round 3485273 to the nearest 100000.
3500000
Round 965318 to the nearest one thousand.
965000
Round 0.000314542 to 5 decimal places.
0.00031
What is -0.0000015357 rounded to 6 decimal places?
-0.000002
What is 17244.153 rounded to the nearest 1000?
17000
What is 584600590 rounded to the nearest 1000000?
585000000
Round -0.677707 to three dps.
-0.678
What is -4246654.5 rounded to the nearest one hundred thousand?
-4200000
Round 20.8364 to the nearest integer.
21
Round 0.00102229 to three dps.
0.001
Round 0.000224618 to five decimal places.
0.00022
What is -0.804168 rounded to 2 decimal places?
-0.8
Round 58413.754 to the nearest 1000.
58000
Round 13549146 to the nearest one million.
14000000
What is -0.000312703 rounded to 6 decimal places?
-0.000313
What is -0.019138908 rounded to 5 decimal places?
-0.01914
Round 0.0347756 to two decimal places.
0.03
Round 21047.61 to the nearest 1000.
21000
What is -6945.27 rounded to the nearest one hundred?
-6900
Round -0.0000260421 to 6 decimal places.
-0.000026
Round 398.228 to the nearest ten.
400
What is 0.0002135043 rounded to 6 dps?
0.000214
What is 0.000022373125 rounded to seven decimal places?
0.0000224
Round 0.000019705807 to 7 decimal places.
0.0000197
What is 527.578 rounded to the nearest ten?
530
Round 3964.424 to zero decimal places.
3964
Round -1895.93 to the nearest integer.
-1896
Round -12616.367 to the nearest one thousand.
-13000
What is 7338460 rounded to the nearest one million?
7000000
Round 1901.19 to the nearest 10.
1900
What is -0.000000064311 rounded to 7 dps?
-0.0000001
Round -0.0001689649 to five decimal places.
-0.00017
Round -86540700 to the nearest 100000.
-86500000
What is -1097.3335 rounded to the nearest integer?
-1097
What is -0.0449562 rounded to 3 dps?
-0.045
What is -5943.571 rounded to the nearest 10?
-5940
What is 0.000201238 rounded to 4 decimal places?
0.0002
Round 0.0001237821 to six dps.
0.000124
Round -0.000784205 to 6 decimal places.
-0.000784
Round 17665860 to the nearest one million.
18000000
Round -86.37712 to 1 decimal place.
-86.4
What is -1.38729 rounded to three dps?
-1.387
What is -17277470 rounded to the nearest one hundred thousand?
-17300000
What is -4.069639 rounded to the nearest integer?
-4
Round -0.0048819625 to 4 decimal places.
-0.0049
Round -62.15944 to the nearest integer.
-62
Round 7122340 to the nearest 1000000.
7000000
Round -1.2755283 to four dps.
-1.2755
Round 0.00003853902 to five dps.
0.00004
What is -0.967709 rounded to 3 dps?
-0.968
Round -83400926 to the nearest ten thousand.
-83400000
Round 990374.82 to the nearest ten thousand.
990000
Round 0.00002056346 to 7 decimal places.
0.0000206
What is 0.014405 rounded to two decimal places?
0.01
What is -0.03209157 rounded to 2 decimal places?
-0.03
What is -47.8041 rounded to the nearest ten?
-50
What is 147885300 rounded to the nearest 1000000?
148000000
What is -14581.2 rounded to the nearest ten thousand?
-10000
What is -24438040 rounded to the nearest ten thousand?
-24440000
Round -38.43583 to two decimal places.
-38.44
What is -427.74397 rounded to 0 dps?
-428
Round -570869000 to the nearest 1000000.
-571000000
Round 350228 to the nearest 10000.
350000
Round 54623.589 to the nearest ten.
54620
What is 0.0000292413 rounded to 5 dps?
0.00003
What is -0.00003513609 rounded to 7 dps?
-0.0000351
What is 175.642 rounded to zero dps?
176
Round 0.5880731 to 1 dp.
0.6
Round 123.364 to the nearest 10.
120
What is -7512950 rounded to the nearest one million?
-8000000
What is 10196.08 rounded to the nearest ten?
10200
What is 0.0215377 rounded to three dps?
0.022
What is -770.2077 rounded to the nearest 10?
-770
Round 113989.3 to the nearest one thousand.
114000
Round 0.009542028 to 3 decimal places.
0.01
Round 40.8172 to zero dps.
41
What is 229516200 rounded to the nearest 1000000?
230000000
What is -0.1800195 rounded to three dps?
-0.18
What is -49.88912 rounded to the nearest ten?
-50
What is 794652 rounded to the nearest one thousand?
795000
What is -0.0001414606 rounded to 5 dps?
-0.00014
What is 15095800 rounded to the nearest ten thousand?
15100000
Round -0.59343183 to 1 decimal place.
-0.6
What is -0.0000087089 rounded to six dps?
-0.000009
Round -4132180 to the nearest one million.
-4000000
What is -590891 rounded to the nearest one hundred thousand?
-600000
What is -386.25 rounded to the nearest 10?
-390
What is 0.00011827812 rounded to five decimal places?
0.00012
Round 60484.64 to the nearest one thousand.
60000
What is -41132050 rounded to the nearest one hundred thousand?
-41100000
What is -750716.3 rounded to the nearest 100000?
-800000
What is -7.6316 rounded to one dp?
-7.6
Round 787443200 to the nearest 100000.
787400000
What is 0.00004583917 rounded to five dps?
0.00005
Round -0.22079092 to four dps.
-0.2208
Round -43771500 to the nearest 1000000.
-44000000
Round -0.00000730835 to seven decimal places.
-0.0000073
What is 6567136000 rounded to the nearest 1000000?
6567000000
Round 5431.94 to the nearest 100.
5400
Round 0.6291512 to 4 decimal places.
0.6292
Round 23498.269 to the nearest 1000.
23000
Round 70.0091 to 1 dp.
70
Round 2169.794 to the nearest 1000.
2000
Round -359435.3 to the nearest 1000.
-359000
What is -0.1111767 rounded to two dps?
-0.11
What is -0.0001059527 rounded to 7 decimal places?
-0.000106
Round -0.2629 to 2 decimal places.
-0.26
What is -601.3073 rounded to the nearest 10?
-600
What is 0.0257524 rounded to four decimal places?
0.0258
What is 54.61738 rounded to the nearest 10?
50
What is 0.00013048222 rounded to 6 decimal places?
0.00013
What is 3257.34 rounded to the nearest one hundred?
3300
Round 0.0000450082 to six dps.
0.000045
Round -18534.89 to the nearest 10.
-18530
Round -51.181 to the nearest ten.
-50
What is 2699611.4 rounded to the nearest one hundred thousand?
2700000
What is -0.0197301 rounded to 4 dps?
-0.0197
Round -0.00818605 to five decimal places.
-0.00819
Round -0.01452465 to three dps.
-0.015
What is -378.65095 rounded to the nearest 10?
-380
What is -4989.874 rounded to zero decimal places?
-4990
Round 2.076097 to 1 decimal place.
2.1
What is -20685156 rounded to the nearest one hundred thousand?
-20700000
Round -0.00038805 to 3 decimal places.
0
What is 0.000090561 rounded to five decimal places?
0.00009
What is -0.99263 rounded to 1 decimal place?
-1
What is -0.000115294 rounded to five dps?
-0.00012
What is 333571500 rounded to the nearest one million?
334000000
What is 4254328000 rounded to the nearest one million?
4254000000
Round -0.00000298111 to 6 dps.
-0.000003
Round 3.8235 to the nearest integer.
4
What is -6.6236 rounded to two dps?
-6.62
What is -1.30046 rounded to 3 decimal places?
-1.3
Round 64012.2 to the nearest one thousand.
64000
Round 10952.16 to the nearest one thousand.
11000
What is -17740229 rounded to the nearest 100000?
-17700000
What is -0.0004926219 rounded to six dps?
-0.000493
Round -83.038 to 0 dps.
-83
Round -0.00001057906 to 6 dps.
-0.000011
Round -0.00725686 to three dps.
-0.007
Round -0.0000003002198 to seven decimal places.
-0.0000003
What is 0.000001026027 rounded to seven decimal places?
0.000001
What is 51801.74 rounded to the nearest ten?
51800
What is 0.002577434 rounded to four decimal places?
0.0026
Round -0.0001213474 to five dps.
-0.00012
Round -0.553877 to 3 decimal places.
-0.554
Round -0.0097864571 to four decimal places.
-0.0098
What is -44253.7 rounded to the nearest 1000?
-44000
What is 1.6489 rounded to two dps?
1.65
What is 2634299700 rounded to the nearest 1000000?
2634000000
Round -40776.62 to the nearest 1000.
-41000
What is -0.035761 rounded to three dps?
-0.036
What is -28518 rounded to the nearest one thousand?
-29000
What is -0.7985866 rounded to 3 dps?
-0.799
What is 0.0000578647 rounded to 5 dps?
0.00006
What is 31396.15 rounded to the nearest ten?
31400
What is -0.00000542042 rounded to six decimal places?
-0.000005
Round 0.00000045565 to 7 decimal places.
0.0000005
Round 0.00000645788 to seven dps.
0.0000065
Rou
|
{
"pile_set_name": "DM Mathematics"
}
|
1601
What are the prime factors of 5722?
2, 2861
List the prime factors of 146625.
3, 5, 17, 23
What are the prime factors of 1607?
1607
List the prime factors of 10621.
13, 19, 43
List the prime factors of 1197.
3, 7, 19
List the prime factors of 83.
83
List the prime factors of 67527.
3, 41, 61
List the prime factors of 1772.
2, 443
List the prime factors of 99.
3, 11
List the prime factors of 560.
2, 5, 7
List the prime factors of 644.
2, 7, 23
List the prime factors of 1721.
1721
List the prime factors of 767.
13, 59
List the prime factors of 3556.
2, 7, 127
List the prime factors of 25825.
5, 1033
List the prime factors of 12037.
12037
What are the prime factors of 184?
2, 23
List the prime factors of 13706.
2, 7, 11, 89
List the prime factors of 13.
13
List the prime factors of 19468.
2, 31, 157
What are the prime factors of 19937?
19937
List the prime factors of 88417.
7, 17, 743
List the prime factors of 96478.
2, 48239
What are the prime factors of 512?
2
List the prime factors of 794.
2, 397
List the prime factors of 24127.
23, 1049
List the prime factors of 42160.
2, 5, 17, 31
List the prime factors of 25.
5
List the prime factors of 4685.
5, 937
What are the prime factors of 50150?
2, 5, 17, 59
What are the prime factors of 31333?
31333
List the prime factors of 958.
2, 479
List the prime factors of 27381.
3, 9127
List the prime factors of 6907.
6907
List the prime factors of 34761.
3, 11587
What are the prime factors of 1865?
5, 373
List the prime factors of 225.
3, 5
List the prime factors of 454.
2, 227
What are the prime factors of 1382?
2, 691
What are the prime factors of 16111?
16111
List the prime factors of 377.
13, 29
List the prime factors of 438.
2, 3, 73
What are the prime factors of 8620?
2, 5, 431
What are the prime factors of 724?
2, 181
List the prime factors of 97698.
2, 3, 19, 857
What are the prime factors of 18943?
19, 997
What are the prime factors of 863?
863
List the prime factors of 22600.
2, 5, 113
List the prime factors of 463.
463
List the prime factors of 149088.
2, 3, 1553
List the prime factors of 341.
11, 31
What are the prime factors of 2069?
2069
List the prime factors of 608.
2, 19
List the prime factors of 15977.
13, 1229
List the prime factors of 93311.
23, 4057
What are the prime factors of 27345?
3, 5, 1823
What are the prime factors of 69?
3, 23
What are the prime factors of 3260?
2, 5, 163
List the prime factors of 925.
5, 37
List the prime factors of 269.
269
List the prime factors of 753.
3, 251
List the prime factors of 68608.
2, 67
What are the prime factors of 1603?
7, 229
What are the prime factors of 21256?
2, 2657
What are the prime factors of 6846?
2, 3, 7, 163
List the prime factors of 25335.
3, 5, 563
List the prime factors of 86950.
2, 5, 37, 47
List the prime factors of 690.
2, 3, 5, 23
What are the prime factors of 4230?
2, 3, 5, 47
List the prime factors of 32297.
32297
What are the prime factors of 10253?
10253
List the prime factors of 944.
2, 59
What are the prime factors of 5608?
2, 701
What are the prime factors of 10282?
2, 53, 97
List the prime factors of 2431.
11, 13, 17
What are the prime factors of 10101?
3, 7, 13, 37
What are the prime factors of 158179?
7, 59, 383
List the prime factors of 3442.
2, 1721
What are the prime factors of 314?
2, 157
List the prime factors of 562.
2, 281
What are the prime factors of 15102?
2, 3, 839
List the prime factors of 5626.
2, 29, 97
List the prime factors of 508.
2, 127
What are the prime factors of 19925?
5, 797
What are the prime factors of 484?
2, 11
What are the prime factors of 276?
2, 3, 23
List the prime factors of 284.
2, 71
What are the prime factors of 135181?
135181
List the prime factors of 487.
487
List the prime factors of 605.
5, 11
List the prime factors of 757.
757
List the prime factors of 6053.
6053
List the prime factors of 19876.
2, 4969
What are the prime factors of 55?
5, 11
What are the prime factors of 225?
3, 5
List the prime factors of 10094.
2, 7, 103
List the prime factors of 18613.
7, 2659
List the prime factors of 9720.
2, 3, 5
What are the prime factors of 1013?
1013
What are the prime factors of 154143?
3, 11, 173
List the prime factors of 497.
7, 71
List the prime factors of 3144.
2, 3, 131
What are the prime factors of 849?
3, 283
What are the prime factors of 12250?
2, 5, 7
What are the prime factors of 2575?
5, 103
What are the prime factors of 788?
2, 197
List the prime factors of 117567.
3, 13063
List the prime factors of 6954.
2, 3, 19, 61
What are the prime factors of 143868?
2, 3, 19, 631
What are the prime factors of 1703?
13, 131
List the prime factors of 8143.
17, 479
List the prime factors of 5332.
2, 31, 43
What are the prime factors of 54966?
2, 3, 9161
List the prime factors of 70103.
11, 6373
List the prime factors of 9361.
11, 23, 37
List the prime factors of 62415.
3, 5, 19, 73
What are the prime factors of 36778?
2, 7, 37, 71
What are the prime factors of 62535?
3, 5, 11, 379
What are the prime factors of 15264?
2, 3, 53
What are the prime factors of 562?
2, 281
What are the prime factors of 10166?
2, 13, 17, 23
List the prime factors of 11037.
3, 13, 283
List the prime factors of 3616.
2, 113
What are the prime factors of 52696?
2, 7, 941
List the prime factors of 30418.
2, 67, 227
What are the prime factors of 1250?
2, 5
What are the prime factors of 1026?
2, 3, 19
What are the prime factors of 106148?
2, 7, 17, 223
List the prime factors of 1019.
1019
What are the prime factors of 1817?
23, 79
What are the prime factors of 22112?
2, 691
What are the prime factors of 152704?
2, 1193
List the prime factors of 50530.
2, 5, 31, 163
What are the prime factors of 95025?
3, 5, 7, 181
What are the prime factors of 437?
19, 23
What are the prime factors of 20537?
11, 1867
List the prime factors of 18058.
2, 9029
List the prime factors of 379.
379
What are the prime factors of 113?
113
What are the prime factors of 9225?
3, 5, 41
List the prime factors of 18593.
18593
List the prime factors of 64552.
2, 8069
List the prime factors of 5119.
5119
What are the prime factors of 2348?
2, 587
What are the prime factors of 4686?
2, 3, 11, 71
List the prime factors of 8637.
3, 2879
What are the prime factors of 22313?
53, 421
List the prime factors of 2228.
2, 557
What are the prime factors of 32923?
11, 41, 73
List the prime factors of 160540.
2, 5, 23, 349
List the prime factors of 755.
5, 151
What are the prime factors of 7209?
3, 89
What are the prime factors of 722?
2, 19
List the prime factors of 36647.
13, 2819
What are the prime factors of 30833?
11, 2803
What are the prime factors of 665?
5, 7, 19
List the prime factors of 19720.
2, 5, 17, 29
What are the prime factors of 15867?
3, 41, 43
What are the prime factors of 23778?
2, 3, 1321
What are the prime factors of 780?
2, 3, 5, 13
What are the prime factors of 3837?
3, 1279
List the prime factors of 14248.
2, 13, 137
What are the prime factors of 3051?
3, 113
List the prime factors of 23684.
2, 31, 191
List the prime factors of 1367.
1367
List the prime factors of 1201.
1201
List the prime factors of 358.
2, 179
List the prime factors of 1973.
1973
List the prime factors of 45196.
2, 11299
What are the prime factors of 2268?
2, 3, 7
What are the prime factors of 67451?
37, 1823
List the prime factors of 2620.
2, 5, 131
What are the prime factors of 317?
317
List the prime factors of 1026.
2, 3, 19
List the prime factors of 1315.
5, 263
List the prime factors of 50411.
50411
What are the prime factors of 92372?
2, 7, 3299
What are the prime factors of 32644?
2, 8161
List the prime factors of 1727.
11, 157
List the prime factors of 115873.
115873
List the prime factors of 137285.
5, 27457
What are the prime factors of 445?
5, 89
List the prime factors of 5561.
67, 83
What are the prime factors of 66086?
2, 173, 191
What are the prime factors of 110583?
3, 11, 1117
List the prime factors of 1364.
2, 11, 31
What are the prime factors of 9901?
9901
What are the prime factors of 10742?
2, 41, 131
What are the prime factors of 1575?
3, 5, 7
What are the prime factors of 8539?
8539
List the prime factors of 195.
3, 5, 13
List the prime factors of 1471.
1471
List the prime factors of 27151.
19, 1429
List the prime factors of 22909.
31,
|
{
"pile_set_name": "DM Mathematics"
}
|
*2 - 28*y + 29.
-(y - 1)*(y + 29)
What is t in -t**3/3 + 16*t**2/3 + t/3 - 16/3 = 0?
-1, 1, 16
What is w in w**3/6 - 10*w**2/3 + 37*w/6 - 3 = 0?
1, 18
Factor -2*h**3/7 - 6292*h**2/7 - 4948658*h/7.
-2*h*(h + 1573)**2/7
Solve 3*h**3/4 - 21*h**2 + 357*h/4 - 69 = 0 for h.
1, 4, 23
What is p in -p**5 + 6*p**4 + 43*p**3 - 20*p**2 - 108*p + 80 = 0?
-4, -2, 1, 10
Factor x**5/10 + 9*x**4/5.
x**4*(x + 18)/10
Factor -5*w**5 - 5*w**4 + 5*w**3 + 5*w**2.
-5*w**2*(w - 1)*(w + 1)**2
Factor 5*s**3 + 570*s**2 - 1155*s + 580.
5*(s - 1)**2*(s + 116)
Solve 12*p**5 - 80*p**4 + 48*p**3 + 384*p**2 - 256*p = 0.
-2, 0, 2/3, 4
Find q such that 10*q**4 + 135*q**3 - 380*q**2 + 315*q - 80 = 0.
-16, 1/2, 1
Factor 4*i**4/5 - 224*i**3/5 + 768*i**2 - 2560*i - 25600.
4*(i - 20)**3*(i + 4)/5
Determine z, given that -360*z**5 + 2163*z**4 + 3942*z**3 - 21633*z**2 - 35820*z + 300 = 0.
-2, 1/120, 5
Suppose 3*g**2 + 5688*g + 2696112 = 0. Calculate g.
-948
Find l such that -660*l**5 - 1976*l**4 + 3972*l**3 + 18456*l**2 + 15728*l - 96 = 0.
-2, 1/165, 3
Factor 3*b**2/5 + 444*b/5 - 1359/5.
3*(b - 3)*(b + 151)/5
Find w, given that -2*w**5/15 + 58*w**4/15 - 36*w**3 + 280*w**2/3 + 400*w/3 = 0.
-1, 0, 10
Factor a**3/9 + 73*a**2/9.
a**2*(a + 73)/9
Suppose -g**5/8 + 3*g**4/8 + 27*g**3/4 = 0. Calculate g.
-6, 0, 9
Solve -5*k**2 - 6330*k - 2003445 = 0.
-633
Factor -6*p**3 - 111*p**2 - 54*p.
-3*p*(p + 18)*(2*p + 1)
Factor -3*z**4 + 45*z**3 - 189*z**2 + 147*z.
-3*z*(z - 7)**2*(z - 1)
Find n, given that -3*n**3 - 309*n**2 + 3*n + 309 = 0.
-103, -1, 1
Solve -1805*u**2 - 380*u - 20 = 0.
-2/19
Let -f**3/4 - 3*f**2/2 - 11*f/4 - 3/2 = 0. What is f?
-3, -2, -1
Factor -4*b**3/7 - 372*b**2/7 - 11520*b/7 - 118800/7.
-4*(b + 30)**2*(b + 33)/7
Solve -21*i**4/5 + 6*i**3/5 + 336*i**2/5 - 96*i/5 = 0 for i.
-4, 0, 2/7, 4
Find v such that 3*v**5/8 + 3*v**4 + 27*v**3/8 - 57*v**2/4 - 15*v = 0.
-5, -4, -1, 0, 2
Factor 3*q**3 - 3*q**2 - 168*q.
3*q*(q - 8)*(q + 7)
Solve 3*c**5/2 + 39*c**4/2 + 57*c**3/2 - 123*c**2/2 - 138*c - 66 = 0 for c.
-11, -2, -1, 2
Find s, given that 6*s**2/19 - 56*s/19 - 40/19 = 0.
-2/3, 10
Suppose -18*d**3 + 500*d**2 + 634*d + 116 = 0. What is d?
-1, -2/9, 29
Find r such that -r**5 - 6*r**4 - 8*r**3 + 2*r**2 + 9*r + 4 = 0.
-4, -1, 1
Suppose 4761*q**3 + 147867*q**2 + 8560*q + 124 = 0. Calculate q.
-31, -2/69
Solve -5*r**4 + 745*r**3 - 735*r**2 - 745*r + 740 = 0.
-1, 1, 148
What is y in 3*y**2 - 5106*y + 2172603 = 0?
851
Factor q**3/3 - 8*q**2/3 - 20*q/3.
q*(q - 10)*(q + 2)/3
What is n in 3*n**3/4 + 336*n**2 + 37632*n = 0?
-224, 0
Factor 2*w**2/25 + 428*w/25 - 86/5.
2*(w - 1)*(w + 215)/25
Let -o**2/4 - 11*o/2 + 75/4 = 0. Calculate o.
-25, 3
Factor 30*c**3 - 2*c**2.
2*c**2*(15*c - 1)
What is p in -3*p**4 + 9*p**3 + 36*p**2 - 60*p - 144 = 0?
-2, 3, 4
Let -3*h**2 - 25422*h - 53856507 = 0. What is h?
-4237
Determine v, given that 4*v**3 - 996*v**2 + 5868*v - 8748 = 0.
3, 243
Find n, given that -50*n**3/7 - 1340*n**2/7 - 1048*n/7 - 208/7 = 0.
-26, -2/5
Factor -85*s**2 + 670*s + 80.
-5*(s - 8)*(17*s + 2)
Find c such that 3*c**4/7 + 30*c**3/7 + 72*c**2/7 + 66*c/7 + 3 = 0.
-7, -1
Factor -25*t**2 - 1885*t - 750.
-5*(t + 75)*(5*t + 2)
Factor -16*a**3 - a**2.
-a**2*(16*a + 1)
Factor -6*o**3/7 + 2781*o**2/7 - 45936*o - 161472/7.
-3*(o - 232)**2*(2*o + 1)/7
Factor -2*o**2/5 + 4068*o/5 - 2068578/5.
-2*(o - 1017)**2/5
Suppose 38*m**2/7 - 12*m/7 = 0. What is m?
0, 6/19
Factor -2*i**2/13 - 12148*i/13 - 18446738/13.
-2*(i + 3037)**2/13
Determine c so that -c**3/9 + 52*c**2/9 + 53*c/9 = 0.
-1, 0, 53
Find j, given that -3*j**3 - 72*j**2 + 237*j - 162 = 0.
-27, 1, 2
Suppose -p**5/5 + 39*p**4/5 - 509*p**3/5 + 489*p**2 - 630*p = 0. Calculate p.
0, 2, 7, 15
Find y, given that 2*y**3 - 292*y**2 + 570*y + 864 = 0.
-1, 3, 144
Suppose -3*y**4 - 57*y**3 - 210*y**2 = 0. Calculate y.
-14, -5, 0
Suppose -2*x**2 + 12*x + 32 = 0. Calculate x.
-2, 8
Let 14*s**2/15 - 10*s + 136/15 = 0. What is s?
1, 68/7
Let -i**3 - 87*i**2 - 336*i - 332 = 0. What is i?
-83, -2
What is v in -v**4/6 - 5*v**3/3 - 19*v**2/6 + 5*v = 0?
-6, -5, 0, 1
Factor -5*d**3 + 7010*d**2 + 5*d - 7010.
-5*(d - 1402)*(d - 1)*(d + 1)
Determine p so that -4*p**4 - 16*p**3 + 20*p**2 = 0.
-5, 0, 1
Factor 4*x**4 - 390*x**3 + 9408*x**2 + 4802*x.
2*x*(x - 49)**2*(2*x + 1)
Factor -27*x**5 + 114*x**4 - 132*x**3 + 24*x**2.
-3*x**2*(x - 2)**2*(9*x - 2)
What is h in -h**4/4 + 2*h**2 - 4 = 0?
-2, 2
Let -2*c**4 + 6*c**3 + 24*c**2 - 104*c + 96 = 0. What is c?
-4, 2, 3
Factor 3*l**2/5 + 31644*l/5 + 83445228/5.
3*(l + 5274)**2/5
Solve -x**4/4 + 2*x**3 - 5*x**2/4 - 19*x/2 - 6 = 0.
-1, 4, 6
Solve 3*w**4/7 - 3*w**2/7 = 0 for w.
-1, 0, 1
Factor g**2/5 + 3*g/5 - 18/5.
(g - 3)*(g + 6)/5
Factor 2*x**2/11 - 6*x/11 + 4/11.
2*(x - 2)*(x - 1)/11
Solve -2*p**2/7 - 36*p/7 - 162/7 = 0 for p.
-9
Let -3*p**4/7 + 1738*p**3/7 - 251140*p**2/7 - 168200*p/7 = 0. Calculate p.
-2/3, 0, 290
Solve -y**4 - 20*y**3 - 19*y**2 = 0.
-19, -1, 0
Factor 4*d**2/7 + 2784*d/7 + 484416/7.
4*(d + 348)**2/7
Factor -d**3/2 - 109*d**2/2 + 55*d.
-d*(d - 1)*(d + 110)/2
Factor 3*c**2 - 174*c - 1584.
3*(c - 66)*(c + 8)
Suppose 5*p**3 + 515*p**2 - 580*p - 6240 = 0. Calculate p.
-104, -3, 4
Factor -2*p**3 - 2*p**2 + 18*p + 18.
-2*(p - 3)*(p + 1)*(p + 3)
Factor -d**3/9 - 10*d**2/9 - 23*d/9 - 14/9.
-(d + 1)*(d + 2)*(d + 7)/9
Factor -h**3 - 210*h**2 - 12000*h - 100000.
-(h + 10)*(h + 100)**2
Factor 34*m**2/11 + 58*m/11 + 24/11.
2*(m + 1)*(17*m + 12)/11
Suppose 20*j**4 - 143*j**3 + 259*j**2 - 22*j - 24 = 0. What is j?
-1/4, 2/5, 3, 4
Suppose 3*o**4 + 204*o**3 + 591*o**2 + 390*o = 0. Calculate o.
-65, -2, -1, 0
Suppose -5*c**2 + 215*c = 0. What is c?
0, 43
Solve 2*a**2/11 - 12*a + 928/11 = 0.
8, 58
Determine x so that 4*x**4/5 - 8*x**3/5 - 32*x**2/5 = 0.
-2, 0, 4
Solve -2*j**3/9 - 242*j**2/9 - 4240*j/9 - 20200/9 = 0.
-101, -10
Solve 3*y**2 + 276*y - 279 = 0.
-93, 1
Factor 5*b**4/3 - 85*b**3/3 - 290*b**2/3 - 200*b/3.
5*b*(b - 20)*(b + 1)*(b + 2)/3
Factor -2*p**4 - 2*p**3 + 8*p**2 + 8*p.
-2*p*(p - 2)*(p + 1)*(p + 2)
Factor 2*l**4/7 + 2*l**3 - 6*l**2/7 - 46*l/7 - 4.
2*(l - 2)*(l + 1)**2*(l + 7)/7
Determine g, given that 2*g**2 - 16*g + 14 = 0.
1, 7
Factor -4*i**4 + 8*i**3 + 12*i**2 - 16*i - 16.
-4*(i - 2)**2*(i + 1)**2
Determine p, given that 4*p**2/7 - 54*p - 382/7 = 0.
-1, 191/2
Suppose -c**3/4 + c**2 + 7*c/4 - 5/2 = 0. What is c?
-2, 1, 5
Factor -3*g**4 + 27*g**3 - 66*g**2 + 96.
-3*(g - 4)**2*(g - 2)*(g + 1)
Find f such that -2*f**2 + 234*f + 236 = 0.
-1, 118
Suppose s**2/4 + 96*s - 193 = 0. Calculate s.
-386, 2
Factor 3*w**3/5 - 36*w**2 - 561*w/5 - 378/5.
3*(w - 63)*(w + 1)*(w + 2)/5
Find w such that 5*w**4 + 360*w**3 + 7635*w**2 + 38080*w - 46080 = 0.
-32, -9, 1
Factor 4*k**4 - 92*k**3 + 324*k**2 + 3068*k - 6760.
4*(k - 13)**2*(k - 2)*(k + 5)
Solve -2*x**4/5 + 6*x**3/5 + 18*x**2/5 + 2*x = 0 for x.
-1, 0, 5
Find n, given that 2*n**4/3 - 11420*n**3/3 + 16302050*n**2/3 = 0.
0, 2855
Factor -2*r**2 + 64*r - 224.
-2*(r - 28)*(r - 4)
Determine r so that -3*r**5 - 9*r**4 + 66*r**3 + 168*r**2 - 288*r - 384 = 0.
-4, -1, 2, 4
Solve 2*v**4 - 148*v**3 - 312*v**2 + 592*v + 1216 = 0 for v.
-2, 2, 76
Factor 15*p**4 + 117*p**3 - 159*p**2 + 27*p.
3*p*(p - 1)*(p + 9)*(5*p - 1)
Factor 3*p**5/7 - 9*p**4/7 - 27*p**3/7 - 15*p**2/7.
3*p**2*(p - 5)*(p + 1)**2/7
Factor 3*s**3/4 + 27*s**2/4 + 15*s + 9.
3*(s + 1)*(s + 2)*(s + 6)/4
Determine j, given that -j**2 + 142*j + 1043 = 0.
-7, 149
Let 2*o**2/3 + 14*o - 200/3 = 0. What is o?
-25, 4
What is n in -32*n**2 + 1988*n - 248 = 0?
1/8, 62
Solve u**4/4 + 7*u**3/2 - 4*u**2 - 7*u/2 + 15/4 = 0.
-15, -1, 1
Suppose 20*p**5 + 115*p**4 - 90*p**3 - 1105*p**2 - 680*p + 240 = 0. What is p?
-4, -1, 1/4, 3
Factor 2*h**3/5 + 1312*h**2/5 - 2*h/5 - 1312/5.
2*(h - 1)*(h + 1)*(h + 656)/5
Determine d, given that 2*d**3/9 - 308*d**2/9 + 1208*d/9 - 400/3 = 0.
2, 150
Suppose -2*m**3/7 + 10*m**2/7 - 8*m/7 = 0. What is m?
0, 1, 4
Solve -z**3/4 - 645*z**2/4 - 26082*z - 25921 = 0 for z.
-322, -1
Let d**5 - 15*d**4 + 74*d**3 - 110*d**2 - 75*d + 125 = 0. What is d?
-1, 1, 5
Factor 2*i**3/7 + 214*i**2/7 + 3366*i/7 + 14418/7.
2*(i + 9)**2*(i + 89)/7
Suppose 3*y**4 - 147*y**3 = 0. Calculate y.
0, 49
Determine g so that g**5 + 29*g**4/3 - 265*g**3/3 - 1205*g**2/3 - 578*g/3 + 112 = 0.
-14, -3, -1, 1/3, 8
What is h in 3*h**4/4 + 63*h**3/2 +
|
{
"pile_set_name": "DM Mathematics"
}
|
(sqrt(441) - (-2*sqrt(441)*6 - sqrt(441))))*4)/(-5*sqrt(315)/sqrt(5)).
52*sqrt(7)/5
Simplify (sqrt(108)*1*4)**2*2 + -2*sqrt(3)*-4 + sqrt(3) + sqrt(192) + sqrt(192) + -2.
25*sqrt(3) + 3454
Simplify 6*sqrt(931)*-2 - ((sqrt(190) + sqrt(190) + -2*sqrt(190))/sqrt(10) + (sqrt(19)*1 + 0 - sqrt(19))).
-84*sqrt(19)
Simplify (-2*sqrt(77)*1 - sqrt(77) - 5*(sqrt(77) + (sqrt(77) - (sqrt(77) - 1*sqrt(77))) + sqrt(77)))/(1*sqrt(343)*1)*-6.
108*sqrt(11)/7
Simplify 3 + -4 + ((sqrt(144)/(sqrt(30)/sqrt(5)))/(sqrt(120)/(sqrt(10) + sqrt(10)*-2)))**2.
1
Simplify (2*5*((3*sqrt(98) - sqrt(98)) + -4 - (sqrt(98) + -1 + -4)))**2.
1400*sqrt(2) + 9900
Simplify -4*(sqrt(49) + (sqrt(49) - 2*sqrt(196)))/(sqrt(252) - -2*sqrt(252) - sqrt(252)).
2*sqrt(7)/3
Simplify (sqrt(637) + -1*sqrt(637))**2 - (4 + sqrt(13) + sqrt(13)*1) - 1*(sqrt(13) + sqrt(26)/sqrt(2) + 0).
-4*sqrt(13) - 4
Simplify (-4*2*sqrt(84)*6)/(sqrt(84)/(sqrt(35)/sqrt(5)) + (2*sqrt(96))/sqrt(8)).
-16*sqrt(7)
Simplify -5 + 4*-6*-1*(sqrt(5) + ((sqrt(300)/sqrt(5))/sqrt(12))**2).
24*sqrt(5) + 115
Simplify (sqrt(100) + (sqrt(100) - 1*sqrt(100)))/(sqrt(16)/sqrt(8)*-5).
-sqrt(2)
Simplify ((sqrt(240)/(-1*sqrt(5)))/(sqrt(200)/sqrt(2)) + -1)**2.
4*sqrt(3)/5 + 37/25
Simplify -2*(2 + -2 + sqrt(28) + 4 + sqrt(1372) + sqrt(28)).
-36*sqrt(7) - 8
Simplify ((sqrt(140) + (5*sqrt(140)*1 - sqrt(140) - sqrt(140)))/sqrt(5))/(4*(sqrt(4) - sqrt(64)) - (sqrt(4) + (sqrt(4) - sqrt(64))*6)).
4*sqrt(7)/5
Simplify 4 + (-2 + sqrt(36)/sqrt(2) + -4 + ((sqrt(18) - sqrt(18)*-1)*4 - sqrt(18)))**2.
-288*sqrt(2) + 1192
Simplify 3*(sqrt(1210) - -1*sqrt(1210))/(sqrt(180) + (sqrt(180) - -1*sqrt(180)) + sqrt(180)) + -4.
-4 + 11*sqrt(2)/4
Simplify (2*sqrt(288))/(-1*sqrt(9)*-2) - sqrt(6)/(2*sqrt(3)*1)*4.
2*sqrt(2)
Simplify (5*sqrt(128))**2*4 + 1 - (-3 + (sqrt(128) - 1*sqrt(128))**2 - (-1*sqrt(128)*4)**2).
14852
Simplify -2 + 6*(sqrt(4032)*-1 + -1 + sqrt(4032)) + -5.
-13
Simplify (1*(sqrt(567) + -1 + sqrt(567) - sqrt(567)) + -2)**2 - ((sqrt(567) - (-1 + sqrt(567)))*-6 - (-4 + sqrt(567)*1)**2).
-126*sqrt(7) + 1165
Simplify ((-3 + -3*sqrt(76))*6 + 2)**2.
1152*sqrt(19) + 24880
Simplify ((sqrt(17) + -2 + sqrt(1700))*-6 + 5 + 2)**2.
-2508*sqrt(17) + 74413
Simplify (sqrt(135)/(-3*sqrt(54)/sqrt(6)))/(sqrt(405) - ((sqrt(405) - (sqrt(405) + (1*-4*sqrt(405) - sqrt(405))) - sqrt(405)) + sqrt(405))).
sqrt(3)/108
Simplify 2 + (6*sqrt(99) + sqrt(44)/(sqrt(8)/sqrt(2)) + 3 + 3)**2.
228*sqrt(11) + 4009
Simplify (((sqrt(132) - -2*sqrt(132)*5) + sqrt(132))/(sqrt(12) + (sqrt(768) - sqrt(48))))**2 - ((sqrt(2816)*2 - sqrt(44)) + -2).
-30*sqrt(11) + 1682/49
Simplify (sqrt(80) + -5)**2 - (sqrt(160) + sqrt(10))/sqrt(2) - -3*(4 + (sqrt(5) - sqrt(180))).
-60*sqrt(5) + 117
Simplify ((sqrt(15) - (sqrt(15) + (sqrt(1215)*-2 - sqrt(1215)) + sqrt(15) + sqrt(15)))*-6)/((sqrt(5) - sqrt(80)*-1)*5).
-6*sqrt(3)
Simplify (-3 + sqrt(1100) + (sqrt(1100) + -2)**2 - sqrt(1100)) + 5 + -1*sqrt(1100).
-50*sqrt(11) + 1106
Simplify -3 + (5 + 6*sqrt(15)/(sqrt(12)/sqrt(4)))**2*-2.
-413 - 120*sqrt(5)
Simplify (-2*sqrt(99)*-2 + -2*sqrt(99)*-6 + sqrt(99) + sqrt(99))/((sqrt(1296)*1)/sqrt(4)).
3*sqrt(11)
Simplify ((-4*1*sqrt(100) + sqrt(100))/(sqrt(495)/sqrt(11) + -1*sqrt(125)))**2.
45
Simplify -6*(0 + (sqrt(14)*-2*5)/sqrt(7))*-2.
-120*sqrt(2)
Simplify 2 + sqrt(204)/(-3*sqrt(48)/sqrt(4)) + 5.
-sqrt(17)/3 + 7
Simplify (sqrt(102)*4*-6)/(sqrt(66)/(3*sqrt(11))).
-72*sqrt(17)
Simplify (1 + 0 + sqrt(252) + (4 + sqrt(252) - sqrt(252)) + sqrt(252) + 3)**2.
192*sqrt(7) + 1072
Simplify 5*(-4 + (sqrt(2448) - (sqrt(2448) - (2 + sqrt(2448)*-2)) - sqrt(2448)) + 4)**2*-3.
-330540 + 2160*sqrt(17)
Simplify 5 + 5*((sqrt(117) - (sqrt(117) - (-1*sqrt(117) + sqrt(117))))*-5)/sqrt(9).
5
Simplify 5 + (-6*(sqrt(99)*-1 - sqrt(99)))/((-1*sqrt(27))/sqrt(3)).
-12*sqrt(11) + 5
Simplify (-5*sqrt(475)*-1*-4*-5)**2.
4750000
Simplify -5 + (sqrt(14)/sqrt(2))**2 + -1 + -2 + -1*sqrt(7) + ((2*sqrt(63))/sqrt(9) - sqrt(112)/sqrt(4))**2.
-sqrt(7) - 1
Simplify 2*(sqrt(832)*3 + sqrt(832)) + ((sqrt(130) - sqrt(130)*2)*-3 + sqrt(130))/sqrt(10).
68*sqrt(13)
Simplify -2*(sqrt(8)/sqrt(4) + -1) + (sqrt(6)/sqrt(3) - sqrt(2))*-4*3.
-2*sqrt(2) + 2
Simplify (1 + -2*(-1 + 4*sqrt(2299))*5*-1)**2.
-7920*sqrt(19) + 3678481
Simplify (4*(sqrt(2057) + -1 + sqrt(2057))*3*-1)**2.
-6336*sqrt(17) + 1184976
Simplify -4 + -5 + (-4 + sqrt(1900) + sqrt(1900))**2 + (6*(sqrt(1900) - (sqrt(1900) + sqrt(1900)*-1)) + 5*1*sqrt(1900))**2.
-160*sqrt(19) + 237507
Simplify ((-3*(sqrt(448) - (sqrt(448) + (-2*sqrt(448) - sqrt(448)))))/((((sqrt(240) - sqrt(240)*4) + sqrt(240))/sqrt(6))/sqrt(10)))**2.
2268
Simplify (1 + (sqrt(275)*-1 - sqrt(11)))**2 + 2*sqrt(44)*-3.
-24*sqrt(11) + 397
Simplify (2 + sqrt(1088))*1 + 1 - (1*(sqrt(1088) + -2)**2 + 0 + sqrt(1088) + (-2*sqrt(1088) - sqrt(1088))).
-1089 + 56*sqrt(17)
Simplify 0 + 4*((-2 + sqrt(11))**2 + 4) + 5.
-16*sqrt(11) + 81
Simplify (3*sqrt(19)*-1 + 1 + sqrt(2736) + 2 + -1)**2.
36*sqrt(19) + 1543
Simplify 4*(-2 + (-3*sqrt(252) + 4 - sqrt(252) - sqrt(252)*-4*4))**2.
1152*sqrt(7) + 145168
Simplify 3 + ((-2*(sqrt(425) + sqrt(17)) - sqrt(17)) + sqrt(17) + -1 + (sqrt(17) - sqrt(34)/sqrt(2)))**2*1*6.
144*sqrt(17) + 14697
Simplify (sqrt(130) - (-1*sqrt(130)*-5 + sqrt(130)) - sqrt(130))/(sqrt(80)/(sqrt(8)*-2)).
12*sqrt(13)
Simplify (sqrt(91)*1*-5 + -6*sqrt(91)*2)/(-4*1*sqrt(7)*-4).
-17*sqrt(13)/16
Simplify 0 + sqrt(22)/sqrt(2) + -5 + 4 - ((sqrt(110)/(sqrt(50)/sqrt(5)))**2 - (1*(sqrt(11) - sqrt(22)/sqrt(2)))**2).
-12 + sqrt(11)
Simplify (1 + (sqrt(19) + (sqrt(228)*2)/sqrt(12) + 4 - sqrt(228)/sqrt(48)*-3))*5.
25 + 45*sqrt(19)/2
Simplify (-1 + (sqrt(693) + sqrt(693)*2)/sqrt(11) + -3 + -4)**2 + -5.
-144*sqrt(7) + 626
Simplify 5*3*(2 + sqrt(147) + -2*(-2 + sqrt(147) - sqrt(147)))**2.
1260*sqrt(3) + 2745
Simplify (sqrt(11) - sqrt(22)/sqrt(18))*3 - (sqrt(704) - (4 + sqrt(704) + sqrt(704)*-3)).
-22*sqrt(11) + 4
Simplify (sqrt(486) + -2*sqrt(486) + sqrt(486) - sqrt(486))/(-4*sqrt(3)*4)*-1.
-9*sqrt(2)/16
Simplify (1 + (-6*sqrt(19)*-2 - (sqrt(19) + -4 + 5)))**2.
2299
Simplify -1 + sqrt(8)/sqrt(144) - (6*(sqrt(8))**2 - (sqrt(242) - (0 + sqrt(242)))**2).
-49 + sqrt(2)/6
Simplify -3 + 2 + ((1*sqrt(486))/sqrt(2) - (-5*(sqrt(3) + 1 + sqrt(3))*3)**2).
-2926 - 891*sqrt(3)
Simplify 1*(2*sqrt(720)*-1)**2 - -4*(sqrt(720) - (2*sqrt(720) + sqrt(720) + 0 - sqrt(720))).
-48*sqrt(5) + 2880
Simplify (1*2*(-3*2*sqrt(425) + (sqrt(425) + 1)*4)*-2)**2.
-1280*sqrt(17) + 27456
Simplify ((sqrt(175) + (sqrt(175) - sqrt(175)*4))*3 + 3 + -2)**2.
-60*sqrt(7) + 6301
Simplify (sqrt(78)/(2*2*sqrt(2) - sqrt(2)))/(-3*sqrt(30)/sqrt(160)).
-4*sqrt(13)/9
Simplify ((-1 + sqrt(425) + 2 + -1)*-3)**2 + 3.
3828
Simplify (sqrt(891) + -3)*-6 - (sqrt(704)*1 + 3).
-62*sqrt(11) + 15
Simplify (-2 + (((1*sqrt(832) + sqrt(832))*4 - (0 + sqrt(832) + 0)) + 3)**2)*-2.
-81550 - 672*sqrt(13)
Simplify ((sqrt(121)*1*1 - (sqrt(121)*-1*2 + sqrt(121)))/(5*sqrt(11)*-1 - (sqrt(704) - -2*sqrt(704))))**2*4.
176/841
Simplify (((1*sqrt(260) + sqrt(260))/sqrt(10) - sqrt(26)) + (-2*sqrt(286))/sqrt(11))/(sqrt(64)/(sqrt(2)*-1) - sqrt(32)) + -4.
-4 + sqrt(13)/8
Simplify ((sqrt(2112)*-2 + sqrt(2112))*4)/(-6*-1*sqrt(300) + sqrt(300)).
-16*sqrt(11)/35
Simplify 4 + (2*2*sqrt(1088))**2 + -2 + (sqrt(17) + sqrt(153)/sqrt(144) - (-1*sqrt(102))/sqrt(6)).
9*sqrt(17)/4 + 17410
Simplify (sqrt(2) - (sqrt(2) + (sqrt(8)/sqrt(4))**2 + sqrt(2)))*6 + -1 + sqrt(162) - (sqrt(144)*1)/sqrt(8).
-13
Simplify (2*sqrt(5)*-2 - ((0 + sqrt(5) - sqrt(5)) + sqrt(5) + 3)) + sqrt(100)/sqrt(5) + -2*sqrt(125).
-13*sqrt(5) - 3
Simplify (sqrt(28) - ((sqrt(112) - (sqrt(112) + 2)) + sqrt(112)) - 3*((sqrt(175))**2 + 0)) + -1.
-524 - 2*sqrt(7)
Simplify 3 + ((sqrt(306)*-3 + sqrt(306) + sqrt(306) + sqrt(306) - sqrt(306)) + sqrt(306))/sqrt(2) + 2 + sqrt(612) + sqrt(612) + -2.
3 + 12*sqrt(17)
Simplify ((sqrt(112)/sqrt(7))/sqrt(8) + 1 + sqrt(16)/sqrt(8) + 5)**2.
24*sqrt(2) + 44
Simplify ((sqrt(77) - 1*(sqrt(77) + sqrt(77)*3))*-5)/(sqrt(28)*-6 + -1*sqrt(448)).
-3*sqrt(11)/4
Simplify -3 + ((2 + sqrt(153) + 5 - ((sqrt(153) - sqrt(153)*-2) + 0)) + 1)**2.
-96*sqrt(17) + 673
Simplify -6*((sqrt(5) - sqrt(125)) + 0)*-3 + 0.
-72*sqrt(5)
Simplify (-2*((-2*-1*sqrt(19) - (sqrt(76) + -3*sqrt(76))/sqrt(4)) + -2))**2.
-64*sqrt(19) + 1232
Simplify ((sqrt(25) + (sqrt(25) - sqrt(275)/sqrt
|
{
"pile_set_name": "DM Mathematics"
}
|
vative of -3*m**4/8 - m**3/3 + 1108*m**2. Let j(a) = a. Calculate d(p) + 6*j(p).
-3*p - 2
Suppose 2*t = -2*v - 6 - 8, -4*t - v = 22. Let h(a) = -2*a**3 + 5. Let r(f) = 1 + 4*f**3 - 8*f**3 - 2 + 5*f**3. Calculate t*r(b) - h(b).
-3*b**3
Let b(y) = 1692005*y. Let u(k) = 13869*k. Give -2*b(w) + 245*u(w).
13895*w
Let r(q) = -q**2. Let x be (((-48)/(-14))/4)/((-1)/(-7)). Let t(a) = -27 - 4*a - a**3 + a**3 + 26 + a**3 - x*a**2. Calculate 6*r(y) - t(y).
-y**3 + 4*y + 1
Let z(k) = 99*k**2 + 59*k + 11. Let v(m) = 25*m**2 + 15*m + 3. Determine -23*v(f) + 6*z(f).
19*f**2 + 9*f - 3
Let c(s) = 2*s. Let p = -9 - -6. Let o(q) = 7*q**2 - 8*q**2 + 1 - q - 2*q + 2*q**2. Suppose 2*g + 2*g = -4*y - 20, 12 = -4*y. Calculate g*o(i) + p*c(i).
-2*i**2 - 2
Let t(m) = -7*m - 6*m - 5 - 2*m**3 + 9*m**3 + 5*m**2. Let i be (-1044)/72 + 209/22. Let q(p) = -4*p**3 - 3*p**2 + 7*p + 3. Determine i*q(r) - 3*t(r).
-r**3 + 4*r
Let j(l) = 236*l**2 - 4*l + 410. Let x(a) = 236*a**2 - 5*a + 510. What is 5*j(o) - 4*x(o)?
236*o**2 + 10
Let t(b) = -8*b**3 - 12*b**2 - b + 1. Let y(k) = -7*k**3 - 10*k**2 - 4*k + 1. Give -6*t(x) + 7*y(x).
-x**3 + 2*x**2 - 22*x + 1
Suppose -r - 8 = -0*r. Let v(i) = -6*i - 5. Let s be 1 - (0 - -2)*-386. Let d = s - 776. Let g(h) = 17*h + 14. Calculate d*g(l) + r*v(l).
-3*l - 2
Suppose 17*m = -40*m + 171. Let n(k) = -143*k**2 + 26*k. Let d(x) = 16*x**2 - 3*x. Determine m*n(h) + 26*d(h).
-13*h**2
Let o(x) = 56*x**2 + 15*x + 11. Let f(l) = 11*l**2 + l + 1. What is 6*f(u) - o(u)?
10*u**2 - 9*u - 5
Let a(h) be the first derivative of 8*h**3/3 + 5*h + 2643. Let c(z) = 40*z**2 + 24. What is -24*a(o) + 5*c(o)?
8*o**2
Let p(c) = 2*c**3 + c**2 - 24*c - 37. Let v be p(-2). Let k(a) = -a - 1. Let b(m) = 2*m + m - 6 - 5*m. Give v*b(u) + 3*k(u).
-u + 3
Let h(c) = 4*c - 14. Let n(o) = 15 + 923*o + 912*o - 1824*o - 56. Give -17*h(k) + 6*n(k).
-2*k - 8
Let w be (-5445)/(-2310) + 1/7*1. Let x(y) be the second derivative of -48*y - w*y**2 + 0 + 1/2*y**3. Let n(j) = -1. Determine 6*n(z) - x(z).
-3*z - 1
Let s(r) = 69175*r - 35. Let o(t) = -7687*t + 4. Calculate -35*o(d) - 4*s(d).
-7655*d
Let l(j) = 13*j**3 - 19*j**2. Let c(w) = -13*w**3 + 20*w**2. Calculate -2*c(z) - 3*l(z).
-13*z**3 + 17*z**2
Let p be (-224)/40 + 34/(-85). Let k(c) = c + 1. Let s(w) = -w - 6. Determine p*k(z) - s(z).
-5*z
Let s(y) = -3*y + 2. Let a(i) = 53*i - 25. What is -a(t) - 3*s(t)?
-44*t + 19
Let g(x) = -12*x + 97. Let s(v) = 59*v - 570. Give 19*g(q) + 4*s(q).
8*q - 437
Let m(i) = -35*i**3 - 28*i**2 + 28*i. Suppose -10*f + 17 = -263. Let s(d) = 4*d**3 + 3*d**2 - 3*d. Determine f*s(r) + 3*m(r).
7*r**3
Let v(z) = -1123*z**2 - 132*z + 19. Let j(y) = 562*y**2 + 61*y - 9. Determine -13*j(q) - 6*v(q).
-568*q**2 - q + 3
Let n(o) = o - 1. Let p(j) = 488*j - 1 - 238*j - 252*j. Let d = 79 + -78. What is d*p(c) + 4*n(c)?
2*c - 5
Let k(b) = -3*b + 1. Let p(f) = -47*f + 111. Determine -3*k(c) + p(c).
-38*c + 108
Let d(c) be the first derivative of -3*c**2/2 + c + 1. Let w = -45 + 46. Let i be d(w). Let g(o) = 3*o + 3. Let b(p) = -4*p - 4. Calculate i*b(q) - 3*g(q).
-q - 1
Suppose -x + 30 = 98*b - 93*b, 25 = -5*x. Let t(q) = 11*q - 4. Let k(d) = -10*d + 3. Determine b*k(j) + 6*t(j).
-4*j - 3
Let u(t) = -38*t**3 + 33*t**2 + 9*t - 158. Let c(k) = 19*k**3 - 15*k**2 - 4*k + 76. Determine 9*c(f) + 4*u(f).
19*f**3 - 3*f**2 + 52
Let r be 0 + (-42)/7 + 22. Suppose 0 = -4*i + 8 + r. Let p(d) = 4*d - 11. Let g(h) = -h + 1. Determine i*g(w) + p(w).
-2*w - 5
Let x(n) = 167. Let f(q) = -37. Let c(a) = -9*f(a) - 2*x(a). Let v(g) = 2*g + 6. Let u be (-1)/2*-4 - 1. Let p be 7/7*(0 - u). What is p*v(m) - 4*c(m)?
-2*m - 2
Let u(y) = -5*y**3 - 23*y**2 + 27. Let j(r) = 9*r**3 + 47*r**2 - 55. Determine 6*j(v) + 11*u(v).
-v**3 + 29*v**2 - 33
Let z(d) = 1. Let q(o) = 5*o**2 + 5. Suppose 26*x - 18*x - 176 = 0. Suppose 6 = -23*h + x*h. What is h*z(k) + q(k)?
5*k**2 - 1
Let s(g) = -2*g - 3. Let t(m) be the second derivative of -m**3 - 4*m**2 + 206*m - 19. Let i be ((-33)/6)/((-1)/2). What is i*s(b) - 4*t(b)?
2*b - 1
Let j(t) = -2*t**2 - 48*t - 12422. Let z(i) = -2*i**2 - 56*i - 12421. Give -7*j(g) + 6*z(g).
2*g**2 + 12428
Let f(u) = -11342*u + 2675. Let k(t) = -14*t + 5. What is -2*f(m) + 1070*k(m)?
7704*m
Let f(x) = -4*x - 4. Let q(l) = -l**2 - 3*l - 3. Suppose 2*p + 40 = -2*s + 52, -3*s = 4*p - 21. Determine s*q(u) - 2*f(u).
-3*u**2 - u - 1
Let i(b) = -7*b + 51 + 14 - 19*b - 55*b**2 - 81*b + 42*b. Let x(q) = 5*q**2 + 6*q - 6. Let s = 16 + -10. Calculate s*i(m) + 65*x(m).
-5*m**2
Let i(b) = -19*b - 11. Suppose 0*z + 14 = 4*g - 2*z, 4 = -g + 2*z. Let u = -486867 + 486854. Let v(l) = -9*l - 5. Determine g*i(x) + u*v(x).
3*x - 1
Let b(p) = 5*p**2 - p. Let c(l) = 32*l**2 - 6*l - 749. What is 6*b(q) - c(q)?
-2*q**2 + 749
Let q(r) = -39*r + 15*r + 24*r - 4*r**3 - 4*r**2. Let s(m) be the second derivative of -m**4/12 + 165*m. Give -q(t) + 4*s(t).
4*t**3
Let t(k) = -2*k**2 + 7*k. Suppose 415*l + 868 = -1207. Let b(d) = -2*d**2 + 7*d. Calculate l*b(a) + 4*t(a).
2*a**2 - 7*a
Let m(v) = -v**3 + v - 3. Let s = -788104 + 788106. Let u(h) = -h + 4. Let r be u(5). Let i(x) = x. Calculate r*m(t) + s*i(t).
t**3 + t + 3
Let c(r) = r - 4. Let o(k) = 0*k**2 + 1 + 4*k + k**2 - 3*k. Let h be ((-23)/69)/((-7)/(-21)). Give h*c(q) + o(q).
q**2 + 5
Suppose f + 9 = -4*u + 6*f, 4*u = -f - 3. Let d(m) = -m + 1. Let t(w) = -1. Suppose 4*j = s - 19, -j - 4 = 5*s + 6. Determine s*d(b) + u*t(b).
b
Let m(g) = -24*g**3 - 5*g**2 - 6*g - 74. Let v(n) = 4*n**3 + n**2 + n + 1. What is -m(i) - 5*v(i)?
4*i**3 + i + 69
Let f(s) = 2*s**2 + 2*s - 2. Let j(b) = -55*b**2 - 7*b - 10. Calculate -4*f(o) - j(o).
47*o**2 - o + 18
Let m(f) = 9*f**2 + 18*f + 514. Let v(y) = 8*y**2 + 15*y + 513. What is 5*m(d) - 6*v(d)?
-3*d**2 - 508
Let a(m) = -9*m + 5. Let v(c) = -8*c + 4. Suppose 0*x + 5*j = 2*x + 28, 2*x + 5*j = -28. Let h = x + 20. What is h*a(p) - 7*v(p)?
2*p + 2
Let t(p) = -p**3 - 564*p**2 + 4*p + 3. Let b(y) = -3*y**3 - 1696*y**2 + 11*y + 8. Give 4*b(l) - 11*t(l).
-l**3 - 580*l**2 - 1
Suppose 4*n - 21 = -3*f, 4*f - 5 - 13 = -2*n. Let d(j) = -2 + 1 + 0 + 2 - n*j. Let p(u) = -3*u + 1. Determine 6*d(r) - 7*p(r).
3*r - 1
Let d(o) be the second derivative of -o**4/4 + 7*o**3/6 + 5*o**2/2 + 154*o + 1. Suppose 20 - 35 = 3*m. Let h(c) = -c**2 + 3*c + 2. What is m*h(t) + 2*d(t)?
-t**2 - t
Let r(j) = j**3 + j - 6. Let k(q) = -3*q**3 + 2*q**2 - 23. Determine -k(s) + 4*r(s).
7*s**3 - 2*s**2 + 4*s - 1
Let u(r) = -239*r**3 + 40*r**2 - 39*r. Let y(h) = 120*h**3 - 24*h**2 + 19*h. Calculate 3*u(n) + 5*y(n).
-117*n**3 - 22*n
Let o(p) = 55*p**2 + 35*p. Suppose -34*x - 74*x + 189 + 135 = 0. Let u(b) = b**2 + b. Give x*o(k) - 105*u(k).
60*k**2
Let r(t) = -t + 9. Let x(i) = -i**2 + 233*i - 82. Give -9*r(g) - x(g).
g**2 - 224*g + 1
Let o(n) = -n. Let g(j) be the second derivative of j**3/2 - j**2/2 + 3*j - 2. Let q be ((-30)/(-9) - 4)/(2/(-3)). Determine q*g(k) + 2*o(k).
k - 1
Let i(x) = -x**2 + x + 1. Let h(s) = s**3 + 5*s**2 - 5*s - 16. Let w = 97 - 96. What is w*h(u) + 5*i(u)?
u**3 - 11
Let k(v) = -v**3 - v**2 - v - 1. Let x be ((-357)/(-105))/17*-5. Let d(y) = 3*y**2 - y - 3. What is x*d(g) - 2*k(g)?
2*g**3 - g**2 + 3*g + 5
Let z(o) = 13*o - 44. Let u(k) = -55*k + 176. Give -2*u(r) - 9*z(r).
-7*r + 44
Let o(k) = -17*k**2 + 1472*k + 32. Let y(b) = -3*b**2 + 295*b + 6. Calculate 2*o(c) - 11*y(c).
-c**2 - 301*c - 2
Suppose 76*w - 16*w = -60. Let o(q) = -q - 1. Let f(g) = 20*g**2 + 40*g + 40. What is w*f(j) - 40*o(j)?
-20*j**2
Suppose 0 = -528*v + 97*v + 431. Let c(s) be the third derivative of -s**4/12 - s**3/6 + 3*s**2. Let f(a) = a + 1. Calculate v*c(w) + 4*f(w).
2*w + 3
Let t(y) = -2*y**3 - y**2 - 375*y + 9. Let p(x) = -4*x**3 - 2*x**2 - 749*x + 15. What is 3*p(r) - 5*t(r)?
-2*r**3 - r**2 - 372*r
Let t(p) = -p + 1. Let l be t(-5). Let g(n) = -8*n + 2. Suppose 48 - 146 = -78*c - 34 + 326. Let u(o) = 8*o - 2. What is c*g(v) + l*u(v)?
8*v - 2
Let l(i) = 33*i**2 + 5*i - 5. Let k(x) = 320*x + 49*x**2 + 4 - 159*x - 6 - 153*x - 6. Give 5*k(w) - 8*l(w).
-19*w**2
Let q(o) = 1687*o + 94*o**2 - 16 + 1695*o + 1687*o - 5064*o. Let v(w) = -19*w**2 - w + 3. Determine -2*q(p) - 11*v(p).
21*p**2 + p - 1
Let j(l) = -17*l**2 - 6*l - 5. Let h(y) = -46*y**2 - 19*y + 2. Let x(o) = 44*o**2 + 20*o - 10. Let v(r) = 3*h(r) + 2*
|
{
"pile_set_name": "DM Mathematics"
}
|
t h?
111720*h**2
Let t(z) be the first derivative of -2168*z**3/3 - 9*z**2/2 - 149*z + 2008. What is the second derivative of t(o) wrt o?
-4336
Let s(l) be the first derivative of -204 - 17*l**3 - 209*l + 11*l**3 + 33*l**3 - 5. What is the derivative of s(f) wrt f?
162*f
Let c(f) be the third derivative of 17/6*f**5 + 0*f + 0*f**4 - 1 + 11/24*f**6 + 0*f**3 - 76*f**2. What is the third derivative of c(d) wrt d?
330
What is the second derivative of 16*y + 183*y**3 + 10*y**2 - 98 - 6*y**2 - 99 + 233 wrt y?
1098*y + 8
Let o(d) = 3*d**2 + 4*d - 2. Let w(q) = 1631*q**2 - 3114*q + 10. Let r(i) = -5*o(i) - w(i). Find the second derivative of r(u) wrt u.
-3292
Let v(s) be the third derivative of 122*s**4 - 245*s**3/6 - 4407*s**2. Differentiate v(d) wrt d.
2928
Let a(i) be the third derivative of 13*i**7/210 + 41*i**6/30 + i**5/30 - 229*i**4/24 - 2*i**3/3 - 959*i**2. Find the third derivative of a(p) wrt p.
312*p + 984
Let a = 91 + 29. Let x be (4 - a/25)*-5. What is the second derivative of -18*w - 24*w**3 + 24*w**3 - 36*w**x wrt w?
-432*w**2
Let b(i) be the second derivative of 997*i**4/4 + 1371*i**2 - 2950*i. Differentiate b(w) wrt w.
5982*w
Let j(z) be the second derivative of 0 + 0*z**5 + 0*z**3 + 73*z + 181/30*z**6 + 0*z**2 - 7/4*z**4. Find the third derivative of j(c) wrt c.
4344*c
Let t(q) be the second derivative of -43/42*q**7 - 61*q + 0*q**2 + 0*q**3 + 41/6*q**4 + 0*q**5 + 0*q**6 + 0. What is the third derivative of t(s) wrt s?
-2580*s**2
Let m(s) be the first derivative of 3*s**6/2 - 29*s**4/4 - 314*s**3/3 - 2*s - 1246. What is the third derivative of m(h) wrt h?
540*h**2 - 174
Suppose -126 + 426 = 3*j. What is the first derivative of -26*t + t - 72*t - j wrt t?
-97
Let j be -3 - (60/(-5) + 2). Let g(v) be the first derivative of -j - 12*v - 15/2*v**2. Differentiate g(q) with respect to q.
-15
Let q(g) be the second derivative of -1/4*g**4 + 10*g + 0*g**5 + 1/3*g**3 - 23/14*g**7 + 0*g**2 - 2 + 0*g**6. What is the third derivative of q(r) wrt r?
-4140*r**2
Let d(w) be the first derivative of -2681*w**4/4 + 3*w**2 + 75*w - 1177. What is the second derivative of d(g) wrt g?
-16086*g
Let d(w) be the first derivative of 0*w**2 - 32 + 31/5*w**5 + 0*w**4 + 74/3*w**3 - w. What is the third derivative of d(r) wrt r?
744*r
Let c = 56 - 55. What is the second derivative of -c - 2 - 44*o**2 + 31*o - 47*o + 5 wrt o?
-88
Let n(i) be the second derivative of -33/2*i**2 + 24*i**3 + 2*i - 21. What is the derivative of n(a) wrt a?
144
Suppose v + 9 = -0*v - 4*f, 4*f = 3*v - 5. Let n be (-10)/5 + 7 + (v - 2). What is the second derivative of -18*t - 20*t**2 + 34*t**5 + t**2 + 19*t**n wrt t?
680*t**3
Let l(q) be the third derivative of -q**4/24 + q**3/6 - 23*q**2. Let o be l(-1). What is the third derivative of g**3 + 3*g**o - 8*g**3 - 7*g**3 + 5*g**2 wrt g?
-84
Let d(c) be the first derivative of 2563*c**3/3 - 632*c + 689. Find the first derivative of d(n) wrt n.
5126*n
Let r(x) be the third derivative of 0 - 3*x + 263/60*x**5 + 0*x**3 - 41*x**2 + 103/24*x**4. What is the second derivative of r(h) wrt h?
526
Let o(v) be the second derivative of 74*v**8/7 + 346*v**4/3 - 69*v - 13. What is the third derivative of o(u) wrt u?
71040*u**3
Let i(z) = -2904*z**2 - 255*z + 2. Let s(j) = 11611*j**2 + 1019*j - 9. Let x(h) = 9*i(h) + 2*s(h). Find the second derivative of x(b) wrt b.
-5828
Let w(v) be the third derivative of -v**9/252 + 71*v**6/120 + v**5/30 + 25*v**3/6 - 1130*v**2. Find the third derivative of w(s) wrt s.
-240*s**3 + 426
Let i = 179 + -121. What is the second derivative of -31*h - 28*h**2 + 28*h**2 - 29*h + i*h**5 wrt h?
1160*h**3
Suppose 2*o - 884 = 4*d, 16*o = 14*o - 2*d + 914. Differentiate o*t**3 + 233 - 77 - 663*t**3 wrt t.
-633*t**2
Let w(p) be the second derivative of 0*p**4 - 223/20*p**5 + 130/3*p**3 + 7*p + 0*p**2 + 18. What is the second derivative of w(l) wrt l?
-1338*l
Let r(h) be the third derivative of -h**7/210 + 991*h**6/120 + 23*h**5/60 + h**4/8 + h**3/6 + 1430*h**2. Find the third derivative of r(u) wrt u.
-24*u + 5946
Let w(q) = -4*q + 4. Let p be w(-4). Suppose -r + 0 - 1 = -b, 4*r + 4*b = p. What is the second derivative of 236*n**2 + 6*n - r + 2 - 226*n**2 wrt n?
20
Let g(t) = -9*t + 7. Let p(o) = -5*o + 3. Let r(q) = 4*g(q) - 7*p(q). Let d be r(5). Find the second derivative of 3*f + 0*f**2 - 2*f - 6*f + d*f**2 wrt f.
4
Suppose 2 = -3*z - 4*a - 3, -3*z + 40 = -5*a. What is the third derivative of -15*s**5 + 59*s**5 + 2*s**z - 111*s**2 wrt s?
2760*s**2
Suppose -14*x = -5*x - 18. What is the third derivative of -2*p**5 - 55*p**x - 5*p**4 - p**4 + 3*p**4 - p**5 wrt p?
-180*p**2 - 72*p
Let z(f) be the second derivative of -98*f**6/15 - f**4/6 - 8065*f**2/2 - 753*f. Differentiate z(r) with respect to r.
-784*r**3 - 4*r
Let l(u) = 9*u + 13. Let y(g) = -10*g - 14. Let t(v) = -5*l(v) - 4*y(v). Let x be t(-5). What is the third derivative of -x*r**3 - 6*r**2 + 20 - 20 wrt r?
-96
Find the third derivative of 73168*j**6 + 8*j + 7*j**3 - 73273*j**6 - 8*j + 4768*j**2 wrt j.
-12600*j**3 + 42
Let s(a) = 15*a + 41. Let v(w) = -w**2 - 4*w + 3. Let f be v(-3). Let m(j) = 22 + f*j + 16 + 4*j - 11. Let t(i) = 7*m(i) - 5*s(i). Differentiate t(z) wrt z.
-5
Let w = -29 - -32. What is the third derivative of -7*c**3 + 5*c**3 + 2*c**6 - 27*c**w - 22*c**2 wrt c?
240*c**3 - 174
Suppose -2*n = -4*j, j = -0*n - 5*n + 22. Suppose 0*u - j = -u. Find the third derivative of 3*w**u - 19*w**2 + 13*w**6 - 5*w**2 wrt w.
1560*w**3
Let o(v) be the first derivative of 2776*v**5/5 - 1681*v**2 + 2667. Find the second derivative of o(k) wrt k.
33312*k**2
Let f(x) = -x - 105. Let k(p) = -7794*p - 4062. Let u(d) = 2*f(d) + k(d). Find the first derivative of u(c) wrt c.
-7796
Find the third derivative of 291*v**6 - 874*v**2 - 3*v**4 + 3*v**4 - v**5 + 2505*v**2 - 14*v**6 wrt v.
33240*v**3 - 60*v**2
Let s(j) = -7*j - 19. Let r be s(-3). Find the second derivative of -61*v**2 + 2 - r*v - 93*v - 2 wrt v.
-122
Let x(f) be the second derivative of 1/6*f**3 + 0*f**4 + 0 - 1/20*f**5 - 61*f - 121/2*f**2. Find the first derivative of x(u) wrt u.
-3*u**2 + 1
Let y(r) be the third derivative of 1/40*r**6 - 1/60*r**5 - 22*r - r**4 + 0 - r**2 - 1/6*r**3. Find the second derivative of y(k) wrt k.
18*k - 2
Let r(y) = -6112*y**2 + 480*y - 4. Let l(u) = 3052*u**2 - 239*u + 2. Let k(f) = 13*l(f) + 6*r(f). Find the second derivative of k(p) wrt p.
6008
Suppose -6*a + 3*a - 3*x = -144, a = x + 52. Find the third derivative of -a*v**3 + 2 - 9*v**2 + 106*v - 106*v wrt v.
-300
Let x(z) be the third derivative of -9 + 0*z + 5*z**2 + 0*z**6 + 5/24*z**4 + 1/12*z**5 - 67/105*z**7 + 0*z**3. What is the third derivative of x(y) wrt y?
-3216*y
Let h be (0 + 1/2)/(14/6552). Find the second derivative of -18*v + 12 - 12 - h*v - 310*v**2 + 62*v**2 wrt v.
-496
Let b(u) = -32*u**4 - 2*u**2 - 1714*u + 2. Let p(d) = d**4 + d**3 - d**2 - 2*d + 1. Let a(i) = b(i) - 2*p(i). What is the second derivative of a(s) wrt s?
-408*s**2 - 12*s
Let d(a) be the second derivative of 775*a**8/28 - 551*a**4/12 + a**2 - 1313*a. What is the third derivative of d(w) wrt w?
186000*w**3
Let v be ((-11)/6*4)/((-82)/123). Suppose 34 + 10 = v*i. Find the third derivative of -6*p**2 - 8*p**2 + i*p**2 + 8*p**4 - 9*p**2 wrt p.
192*p
Differentiate 52 - 817 - 399*w**3 + 1250*w**3 wrt w.
2553*w**2
Find the second derivative of -236*w - 1159*w - 3835*w**2 + 2689*w**2 wrt w.
-2292
Let q(d) be the second derivative of d**6/5 - d**5/20 - d**4/12 - 3771*d**2/2 - 5861*d. Find the first derivative of q(f) wrt f.
24*f**3 - 3*f**2 - 2*f
Let w(x) = 8818*x**3 - 8*x**2 + 4429*x. Let q(d) = -35273*d**3 + 35*d**2 - 17726*d. Let l(z) = 2*q(z) + 9*w(z). Find the third derivative of l(j) wrt j.
52896
Let l(z) be the first derivative of 1431*z**4/4 + 5*z**3/3 + 355*z - 1553. Find the third derivative of l(o) wrt o.
8586
Let j be (2/(-4) - 0)/((-1)/6). Find the second derivative of -27*l**3 - 59*l - 16*l**3 - 47*l**3 + 32*l**j wrt l.
-348*l
Let v be 16/64 - 286/(-8). What is the third derivative of 44*z**6 - v*z**6 - 6 + 2*z**2 + 3 wrt z?
960*z**3
Let f(m) be the third derivative of -1271*m**6/12 + 1725*m**4/4 - 2021*m**2 + 2. Find the second derivative of f(j) wrt j.
-76260*j
Let y be 348/108 + 6/(-27). Suppose 9 = -f + 4*f. What is the second derivative o
|
{
"pile_set_name": "DM Mathematics"
}
|
mmon divisor of u and 132?
6
Let y = -129 + 129. Let w be (1*(y - 1))/(10/(-110)). What is the highest common factor of w and 11?
11
Suppose s = 6*s - 440. Let p be (-6)/(-15) + 76/10. Calculate the highest common divisor of p and s.
8
Let b = 28 + 57. Let l(i) = 4*i**3 + 117*i - 232. Let v be l(2). What is the greatest common factor of v and b?
17
Suppose -p + 534 = 11*r - 6*r, -2*p + 5*r + 1098 = 0. Calculate the greatest common divisor of 64 and p.
32
Let k = 171 - 149. Let j be 11/(-2 + 10/4). Calculate the highest common divisor of j and k.
22
Let q(f) = -21*f + 37. Let h be q(1). What is the highest common factor of 6 and h?
2
Let v be -10 + 3 + 1 - -161. Calculate the highest common divisor of v and 62.
31
Let b be ((-16)/12)/((-242)/60 + 4). Let i(k) = k + 16. Let w be i(0). Calculate the highest common factor of b and w.
8
Let b(d) = 5*d + 1. Suppose -4*h + 28 = -0*h. Let s be b(h). Suppose 0 = -10*w + 171 - 51. What is the greatest common factor of w and s?
12
Suppose -4*b + 2865 = 3*n, -3*b + n - 3595 = -8*b. What is the highest common divisor of b and 80?
80
Let f(a) be the third derivative of a**5/60 + 3*a**4/8 - 14*a**3/3 + 24*a**2. Let u be f(-12). What is the highest common divisor of 20 and u?
4
Let o = 20 + -10. Let q(a) = a**3 - a**2 + 4. Let c be q(0). What is the highest common factor of o and c?
2
Let x be -2 + (3 - (3 + -3)). Let z(l) = 3*l**2 + l. Let h be z(x). Let r be (-62)/h*(-15 + 13). Calculate the greatest common factor of 155 and r.
31
Suppose -19 = 5*m - 49. Let g = m + -5. Calculate the greatest common divisor of g and 11.
1
Suppose 5 + 35 = 2*k. Let g be 2/(-7) - 2244/(-14). Calculate the highest common factor of k and g.
20
Let y be (6/(-12))/(2/56). Let t = y - -36. What is the highest common factor of t and 220?
22
Let z = 2 + 1. Let y be 34 - -3*(-2)/z. Let w be (y - -1)*(-16)/(-6). What is the highest common divisor of 8 and w?
8
Suppose 3*t - 186 = -4*p, 2*t - 2*p - 101 = 3*p. Let a = -50 + t. Calculate the highest common factor of a and 88.
8
Let a = 81 + -86. Let o(u) = u**3 + 13*u**2 - 4*u - 4. Let y be o(a). What is the greatest common divisor of y and 24?
24
Suppose 0 = -34*i + 2269 - 705. Calculate the highest common divisor of i and 299.
23
Suppose -3*k - 183 - 45 = 0. Let i = k + 86. Suppose 5*d + 2*y - 260 = 0, 0*d + 3*d = y + 145. Calculate the greatest common factor of d and i.
10
Let c be -23*(3 + -4 + 2). Let r = -13 - c. Calculate the greatest common factor of 2 and r.
2
Let x = 670 + -662. What is the highest common divisor of x and 108?
4
Suppose z + 1228 = 4*w, -z + 302 = w - 0*z. Suppose 3*g - w = -96. Suppose 1 = n - 9. What is the highest common divisor of n and g?
10
Let i be (-34)/(-6) + 5/15. Let x = -583 - -595. What is the highest common divisor of x and i?
6
Suppose -p + 117 = -27. What is the highest common factor of p and 32?
16
Let o be (-15)/(-4) + (-13)/(-52). Suppose o*t - 21 = d, -t - d = -3*d. Calculate the highest common factor of t and 24.
6
Let f(w) = 38*w + 267. Let m be f(-7). Calculate the greatest common divisor of m and 23.
1
Suppose 0 = 2*r + 3*r - 30. Let v = 16 - 18. Let y be 656/12 + 3/9*v. Calculate the greatest common factor of y and r.
6
Let v = 18 - 4. Suppose -3*k = 3*a + 120, -3*k = 4*a + 119 + 6. Let i = 49 + k. What is the greatest common divisor of i and v?
14
Suppose -6*s + 7*s - 6 = 0. Suppose s*d + 10 = 7*d. Let j be 2/(-3) - 32/(-12). What is the highest common divisor of d and j?
2
Let m(v) = 15*v - 2*v + 5*v - 4. Let x be m(4). Let l be (187/x)/((-1)/(-4)). What is the greatest common factor of l and 77?
11
Let f = -935 + 937. Calculate the highest common divisor of 67 and f.
1
Let u = 187 + -184. Calculate the highest common factor of u and 9.
3
Let l = 66 + -39. Suppose 0 = 19*u - 22*u + l. Let p(q) = 17*q + 4. Let f be p(4). What is the greatest common factor of u and f?
9
Suppose -9*u + 240 = -4*u. Suppose -2*d - u = -4*z, 3*z = -2*d - 2 + 24. Calculate the highest common divisor of z and 30.
10
Suppose 2*h - 6*h - x - 141 = 0, 3*x - 81 = 2*h. Let s be 1884/15 - (h/15 - -3). Calculate the greatest common factor of 25 and s.
25
Let l(w) = w + 9. Let t be l(-6). Let n(k) = -t*k + 3 + 0*k - k**2 - 5 + k**3 + 0*k**2. Let v be n(3). Calculate the highest common factor of 77 and v.
7
Suppose -5*s + 5 = q - 85, q = 3*s - 54. Let t = -564 - -819. Let c = 417 - t. What is the greatest common divisor of s and c?
18
Suppose -2*r = 3*s - 297, -4*s - 457 - 14 = -3*r. What is the greatest common factor of 374 and r?
17
Let x be 140/(-35) + 3 + 6. Let o be 4/14 + (-99)/(-21). Calculate the highest common divisor of x and o.
5
Suppose 67 = d - 32. Suppose 5*v + s = 259, -6*v - 5*s + d = -4*v. Calculate the highest common divisor of v and 13.
13
Suppose 1380 = 2*t + 5*b, 4*t + 0*b - 2740 = -5*b. Suppose t = -32*y + 37*y. What is the highest common divisor of y and 34?
34
Let a be 25/2 + (-3)/(-2). Calculate the greatest common divisor of a and 7.
7
Suppose 8*t - 30 = -6. Suppose -4*p = -w + 28 - 99, -t*p - w + 55 = 0. What is the greatest common factor of p and 108?
18
Let b = 1 + 1. Let x be -3*b/6 + 23. Calculate the highest common divisor of x and 154.
22
Suppose -2*d = -f, 10*f - 9*f + 9 = 5*d. Let s(w) = -w**3 + 8*w**2 - 5*w + 6. Let k be s(6). What is the greatest common divisor of f and k?
6
Suppose 4*t - 6*t = y - 18, -105 = -4*y + 3*t. Calculate the greatest common divisor of y and 312.
24
Suppose 0 = 2*a + 3*c - 8*c + 2, a = -3*c + 10. Let k = a - -14. Suppose -6*t = -8*t + k. Calculate the highest common divisor of t and 72.
9
Let j(n) = -3*n**3 - 6*n**2 - 1. Let g be j(-4). Calculate the greatest common divisor of g and 76.
19
Let w be (-24)/(-44) + (-29700)/(-121). Calculate the highest common factor of 18 and w.
6
Let j be 12/90 - (1 - (-19344)/(-45)). Calculate the greatest common factor of j and 11.
11
Let c be (-9)/(-3)*(-3)/(-9). Suppose -2*i = -5*u + 27, 4*u + 6*i - 5*i = 19. Calculate the greatest common factor of u and c.
1
Let p = 28 - 24. Suppose -26 - 2 = -p*z. Suppose -2*s - 20 = -z*s. Calculate the highest common factor of s and 2.
2
Let h be 20 + -1 + 3 - -1. Suppose -12 = -5*n + h. Let d be 10*((-56)/10)/(-2). What is the highest common divisor of n and d?
7
Let j be 2/(-7) + 30/7. Suppose 5*v - 15 = -5*d, -4*v - 4*d = -3*v. Suppose 0 = -v*k - k + 140. What is the greatest common factor of k and j?
4
Let m(z) = z - 6. Let h be m(0). Let w be 6*(84/16 - h/8). What is the highest common divisor of 54 and w?
18
Let x be (30/(-4) - (11 + -18))*-98. What is the highest common divisor of x and 1?
1
Let f(l) = 4*l**2 + 3*l - 1. Let q be (3/6*6)/1. Suppose q*s - 7 = 2. Let a be f(s). What is the highest common divisor of a and 110?
22
Let k = -409 - -422. What is the greatest common factor of k and 182?
13
Suppose -7*f = -3*f - 36. Suppose 84 = f*m - 24. What is the highest common divisor of m and 24?
12
Let a(j) = -4*j**2 - 85*j - 63. Let d be a(-19). What is the highest common factor of 36 and d?
36
Let i(f) = -44*f - 169. Let k be i(-11). What is the highest common divisor of k and 126?
63
Suppose -x + 33 = 3*l - 3*x, x = 5*l - 55. Let b be 198/(-30) + 7 - (-324)/15. What is the highest common factor of l and b?
11
Suppose 15 = y + 31*o - 32*o, 3*y + o = 57. Let i be -5*-1*36/10. What is the greatest common divisor of y and i?
18
Let k = 28 + -18. Suppose w + 4*g + k = -0, -4*g - 40 = -2*w. Calculate the greatest common divisor of w and 2.
2
Suppose 3*j - 2*q = -394 + 1566, 776 = 2*j + 4*q. What is the greatest common factor of 18 and j?
6
Suppose 0 = -10*n + 13*n - 18. What is the greatest common factor of n and 183?
3
Suppose -12*j + 10*j = -10. Suppose j*h + 3*k = 22, 1 + 15 = 4*k. Let l be (6/(-5))/((-5)/25). What is the greatest common divisor of l and h?
2
Let l be (0 - -6)*(2 + -1). Let k be 460/l + (-3)/(-9). Let z = 5466 - 5455. What is the highest common divisor of z and k?
11
Suppose f = -f + 38. Let m = -18 + f. Let b be (74 + 7)*1/m. What is the greatest common factor of 54 and b?
27
Suppose x - 5*x + 4 = 0. Let q be -12*-1*(0 + x). Let n be 5/(-1)*18/(-5). What is the greatest common divisor of n and q?
6
Suppose -24*q + 100 = 2*m - 25*q, -4*m + 196 = -3*q. What is the highest common factor of 78 and m?
26
Let m(g)
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{
"pile_set_name": "DM Mathematics"
}
|
-5514*j**5 - 3*j**3 + 1536*j - 2 wrt j.
-110280*j**3 - 18*j
What is the third derivative of -456*n*s**3*x + 21862*n*s**2*x + 281*s**3*x - 4*s**2 wrt s?
-2736*n*x + 1686*x
What is the third derivative of 150263*t**3 - t**2 - 46*t + 94?
901578
What is the third derivative of 4702*r**5 - 4*r**3 - r**2 + 16667*r wrt r?
282120*r**2 - 24
Find the first derivative of -2260*n**2*t - n**2 - 2*n*t**2 - 2*n + t**3 + 593 wrt t.
-2260*n**2 - 4*n*t + 3*t**2
Find the second derivative of 6*n**2*r**3 - 40660*n**2*r**2 - 972*n*r**3 - 325*n wrt n.
12*r**3 - 81320*r**2
Differentiate 358174*m**3 - 494017.
1074522*m**2
Find the second derivative of -8703*p**2*s**3 + p**2*s**2 - 5*p**2*s - 596*p*s - 2*s wrt s.
-52218*p**2*s + 2*p**2
Find the third derivative of -a*q**5 + 2*a*q**3 + 1836*a*q**2 + 523*q**4 + 2*q**2 wrt q.
-60*a*q**2 + 12*a + 12552*q
Differentiate -h*m**3*q + h*m**3 + 110900*h*m + 131*h*q - 5*m**3*q + 7*q with respect to q.
-h*m**3 + 131*h - 5*m**3 + 7
What is the derivative of 11521*c**2*g**2*o + c**2*g*p - c**2*o - 1775*c**2 - c*g*o + c*o*p - 4 wrt g?
23042*c**2*g*o + c**2*p - c*o
Find the third derivative of 5*g**3*n**2*t**3 - 2*g**3*n*t**2 - 2*g**2*n**2*t + g**2*t**2 + 14*g*n*t**3 - 9*g*t**3 - 1569*t**2 wrt t.
30*g**3*n**2 + 84*g*n - 54*g
Find the third derivative of 3964*j**2*w**4 - 2052*j**2*w**2 + 4*j**2*w - 2*j**2 - 20*j*w**4 + 4*j*w**3 - w - 5 wrt w.
95136*j**2*w - 480*j*w + 24*j
What is the third derivative of -256*b**3*q**3 + 134*b**3 - 81*b**2*q**3 - 722*b**2*q wrt b?
-1536*q**3 + 804
What is the third derivative of -177617*w**6 + 46759*w**2 + w wrt w?
-21314040*w**3
Find the third derivative of 90925*a**3*w**2 - 73105*a**2*w**2 wrt a.
545550*w**2
What is the third derivative of -12*a*h*y**3 - 15*a*h*y - a*y**3 + 56*h*y**3 + 7*h*y**2 - 28*h - y**3 wrt y?
-72*a*h - 6*a + 336*h - 6
What is the derivative of 77*a*q**2*w - 5*a*q**2 - 9*a*q*w + a*q + 4*a*w + 2*q**2 + 4*w + 260 wrt w?
77*a*q**2 - 9*a*q + 4*a + 4
Differentiate 1783*r**4 + 17*r - 40978.
7132*r**3 + 17
What is the first derivative of 123620*t**2 - 179565 wrt t?
247240*t
What is the third derivative of n*o**3 - n*o - 2*o**5 - 9*o**4 + 2449*o**3 + 10334*o**2 - o wrt o?
6*n - 120*o**2 - 216*o + 14694
Find the third derivative of 146685*v**5 + v**2 - 13625*v - 2 wrt v.
8801100*v**2
What is the third derivative of 8813*s**3 - 885*s**2 - 3*s + 2?
52878
What is the first derivative of 7682*y**2 + 6226 wrt y?
15364*y
What is the third derivative of 2*f**2*r**3 - 32*f**2*r*t + 917*f*r**3*t - 65*f*r**2*t - 5*r**2*t wrt r?
12*f**2 + 5502*f*t
Find the third derivative of 6205*h*n**3 + 3*h*n**2 + 3*h*n - 2*h + 3*n**5 - 385*n**2 wrt n.
37230*h + 180*n**2
Find the first derivative of 2*q**4 - 203*q**2 - 369*q - 465137 wrt q.
8*q**3 - 406*q - 369
What is the derivative of 2215*s**2*w**2 + 29640*s**2 - 2*s*w**2 wrt w?
4430*s**2*w - 4*s*w
What is the derivative of 8*t*w*x - 37355*t*w + 2*t*x + 14*x wrt x?
8*t*w + 2*t + 14
Differentiate -424303*q - 306075 with respect to q.
-424303
What is the derivative of -2604949*a + 3474329?
-2604949
Find the second derivative of -5*c**2*z**2 - 22*c**2 - 1230*c*z**2 - 363*c*z + 21*z**2 - 25 wrt z.
-10*c**2 - 2460*c + 42
What is the third derivative of -10876*k**3*o**3 - 25595*k**3*o**2 - 2*k**2*o**5 + 2 wrt o?
-65256*k**3 - 120*k**2*o**2
What is the third derivative of -164*i**6*n - 37*i**3*n - 4955*i**2*n + 3*i wrt i?
-19680*i**3*n - 222*n
What is the second derivative of -715418*v**3 - 790592*v?
-4292508*v
Find the second derivative of -1935853*z**4 + 278361*z + 2.
-23230236*z**2
What is the third derivative of -33757*s**3 + 2087*s**2 + 5 wrt s?
-202542
Find the second derivative of -13*k**3 + 13*k**2 + 14428*k.
-78*k + 26
Differentiate 1824791*t**4 - 1872348 wrt t.
7299164*t**3
Find the first derivative of -2*k**3 + 23935*k**2 - 86043 wrt k.
-6*k**2 + 47870*k
What is the second derivative of 4*w**5 - 6*w**4 - 209*w**2 + 110*w - 166 wrt w?
80*w**3 - 72*w**2 - 418
Differentiate -8181*i**2 + 8087.
-16362*i
What is the third derivative of 4929*d**5 + 40*d**4*p**3 + 3*d**2*p**3 - 225254*p**3 wrt d?
295740*d**2 + 960*d*p**3
Find the second derivative of 2*c**2*s**2 - 13562*c**2*s - c*s**3 + 7*c*s**2 + 121*s**3 - 2*s wrt s.
4*c**2 - 6*c*s + 14*c + 726*s
What is the derivative of -3711*t**4*u**2 - 7*t**2*u**2 - 138530*u**2 wrt t?
-14844*t**3*u**2 - 14*t*u**2
What is the third derivative of 6*u**6 + 6710*u**3 + 24821*u**2 wrt u?
720*u**3 + 40260
What is the second derivative of -214*g**4 - 1371*g**2 + 4610318*g wrt g?
-2568*g**2 - 2742
What is the second derivative of -173685*s**3 - 3614*s - 6?
-1042110*s
Find the first derivative of -32971*p - 51808.
-32971
Find the second derivative of -23*d**5 - d**3 - 2082*d**2 - 87*d - 4022.
-460*d**3 - 6*d - 4164
What is the derivative of 2*h**3 - 3154*h**2 - 69*h + 120380 wrt h?
6*h**2 - 6308*h - 69
What is the derivative of 12020*i**4 + 2*i**2 + 2*i + 210346?
48080*i**3 + 4*i + 2
Find the first derivative of -1215730*l + 1304436.
-1215730
What is the first derivative of -n**4 - 27*n**2 + 10993*n + 1893921?
-4*n**3 - 54*n + 10993
Differentiate -1060578*d*j**2 + 2*d*x + 51061*j**2*x - 17*j**2 with respect to d.
-1060578*j**2 + 2*x
What is the first derivative of -360*a + 22848?
-360
What is the second derivative of y**4 + 855*y**3 + 17*y**2 - 400*y - 39 wrt y?
12*y**2 + 5130*y + 34
What is the second derivative of -125947*g**3*i - 3*g**3 - g**2*i + 18*g*i - 6*g + 23*i - 11 wrt g?
-755682*g*i - 18*g - 2*i
What is the second derivative of 6*l**4*m + 3*l**3 + 4*l**2*m - 51517*l*m wrt l?
72*l**2*m + 18*l + 8*m
What is the second derivative of -266525*b**3 + 11*b - 1775?
-1599150*b
What is the first derivative of 125993*g + 289981?
125993
What is the second derivative of -4600*d**5 + 26924*d wrt d?
-92000*d**3
Differentiate -495716*l**3*n + 255997*l**3 + 2*l**2 - 4*l*n - 3 wrt n.
-495716*l**3 - 4*l
What is the second derivative of 13208*f**2 + 256*f - 7 wrt f?
26416
What is the third derivative of 1496645*l**6 + 2*l**2 + 394984*l wrt l?
179597400*l**3
What is the first derivative of -3*q**3 - 88770*q**2 - q + 753871?
-9*q**2 - 177540*q - 1
Differentiate 501026*x - 823420 wrt x.
501026
Find the third derivative of -569392*t**3 + 9*t**2 - 16632*t.
-3416352
Differentiate 701226*d + 3325743 with respect to d.
701226
Find the third derivative of -59*r**5 + 2*r**4 - 55*r**3 - 60277*r**2 wrt r.
-3540*r**2 + 48*r - 330
What is the third derivative of -10675*c**3*p**3 + 92*c**2 - 36*c*p**3 wrt c?
-64050*p**3
Find the second derivative of 138424*n**3*v**2 - 49*n**3*v - 638*n**3 - 6*v**2 wrt v.
276848*n**3 - 12
What is the derivative of 220*b*o**3 + 3*b*o**2 + 107*b*o - b - 201825*o**3 + 2 wrt b?
220*o**3 + 3*o**2 + 107*o - 1
Find the second derivative of 315681*p**2 - 3*p + 33296.
631362
What is the third derivative of -192567*b**4*i - 5*b**2*i - 23406*i wrt b?
-4621608*b*i
Find the second derivative of -33926*y**2 + 32230*y.
-67852
What is the second derivative of -81959*z**2 - z - 37418?
-163918
What is the second derivative of -3*k**2*y**4 + 273*k**2*y**2 - 33652*k**2 + 2*k*y wrt y?
-36*k**2*y**2 + 546*k**2
What is the second derivative of 74036*c**4 - 33*c - 275 wrt c?
888432*c**2
Differentiate 107916*v**3 - 669735 wrt v.
323748*v**2
Differentiate 69932*z + 70087 with respect to z.
69932
What is the second derivative of -113*l**5 + 209*l**3 - l**2 - 323*l + 514?
-2260*l**3 + 1254*l - 2
Find the second derivative of -10*c**5*z + 29824*c**5 + 1884*c*z + 32*c + 2*z + 1 wrt c.
-200*c**3*z + 596480*c**3
What is the derivative of 552090*c*f**2 + 77*f**2 - 5127 wrt c?
552090*f**2
What is the second derivative of -4808*m**2*o*q - 3*m**2*o - 7*m*o*q - q + 105 wrt m?
-9616*o*q - 6*o
What is the first derivative of 4473*j**2 + 26*j - 2134410 wrt j?
8946*j + 26
What is the third derivative of -2611*j**3 + 5*j**2 + 309?
-15666
What is the third derivative of 168*a**3*p - 30*a**3 - 2*a**2 + 9011*p wrt a?
1008*p - 180
Differentiate -246093*w - 76954.
-246093
What is the third derivative of 26*s**5 + 4141*s**3 + 36*s**2 - 1568*s?
1560*s**2 + 24846
Find the second derivative of 2*d**2*s**2 - 10*d**2 + 69669*d*s - 1328184*s**3 wrt s.
4*d**2 - 7969104*s
Find the second derivative of 89481*c**3*f*x**2 - 30*c**3*f*x + 2*c**2*f + 2*c**2*x + c*f*x**2 + 140*c
|
{
"pile_set_name": "DM Mathematics"
}
|
4*h**2/5 + 3*h/2 - 27/5.
-(h - 9)*(h - 2)*(h + 3)/10
Determine f, given that 4*f**5 + 36*f**4 + 76*f**3 + 12*f**2 - 80*f - 48 = 0.
-6, -2, -1, 1
Factor 5*c**3 - 730*c**2 + 27360*c - 51840.
5*(c - 72)**2*(c - 2)
Factor -4*m**3 + 28*m**2 + 376*m - 832.
-4*(m - 13)*(m - 2)*(m + 8)
What is k in -k**3/4 + 13*k**2/2 + 52*k - 128 = 0?
-8, 2, 32
Let 3*d**2 - 93*d + 174 = 0. Calculate d.
2, 29
Factor -5*s**4 - 3960*s**3 + 23880*s**2 - 47840*s + 31920.
-5*(s - 2)**3*(s + 798)
Suppose -2*d**4/11 + 14*d**3/11 + 20*d**2/11 - 32*d/11 = 0. What is d?
-2, 0, 1, 8
Factor p**2 + 91*p + 90.
(p + 1)*(p + 90)
Suppose s**4/5 - 6*s**3/5 - 8*s**2/5 + 6*s/5 + 7/5 = 0. What is s?
-1, 1, 7
Suppose 5*j**2 + 13695*j = 0. What is j?
-2739, 0
Determine y, given that 2*y**3/23 - 24*y**2/23 - 26*y/23 = 0.
-1, 0, 13
Factor z**3/4 - 7*z**2/2 + 14*z - 16.
(z - 8)*(z - 4)*(z - 2)/4
Determine p, given that 5*p**2 + 490*p + 12005 = 0.
-49
Factor -w**2/5 + 98*w/5 - 637/5.
-(w - 91)*(w - 7)/5
What is d in -4*d**3/9 + 296*d**2/9 - 5476*d/9 = 0?
0, 37
Factor 3*c**4/2 + 3*c**3/2 - 3*c**2/2 - 3*c/2.
3*c*(c - 1)*(c + 1)**2/2
Solve -3*f**2/5 + 183*f + 918/5 = 0.
-1, 306
Determine i so that -15*i**5 + 546*i**4 - 5061*i**3 + 1398*i**2 + 5076*i - 1944 = 0.
-1, 2/5, 1, 18
Factor 4*t**4 - 96*t**3 + 336*t**2 + 3136*t.
4*t*(t - 14)**2*(t + 4)
Factor g**3/4 - 15*g**2/2 - 207*g/4 - 81.
(g - 36)*(g + 3)**2/4
Find c, given that -3*c**3/8 + 51*c**2/8 + 111*c/8 + 57/8 = 0.
-1, 19
What is h in -4*h**4 + 60*h**3 - 308*h**2 + 660*h - 504 = 0?
2, 3, 7
Solve -2*f**3/5 + 34*f**2/5 - 30*f + 198/5 = 0.
3, 11
Factor 4*p**4/3 - 44*p**3/3 + 112*p**2/3.
4*p**2*(p - 7)*(p - 4)/3
Find j such that -4*j**2 - 80*j = 0.
-20, 0
Let -t**4 - 11*t**3 - 32*t**2 - 28*t = 0. Calculate t.
-7, -2, 0
Solve 2*r**2/5 + 13892*r/5 + 24123458/5 = 0 for r.
-3473
Solve -9*a**4 - 51*a**3 - 48*a**2 + 60*a + 48 = 0.
-4, -2, -2/3, 1
Factor -4*a**2 + 21568*a - 29073664.
-4*(a - 2696)**2
Determine t so that -t**4 + 49*t**3 + t**2 - 49*t = 0.
-1, 0, 1, 49
Let 2*f**5/13 + 10*f**4/13 + 18*f**3/13 + 14*f**2/13 + 4*f/13 = 0. Calculate f.
-2, -1, 0
Factor -4*v**4 - 228*v**3 - 632*v**2 + 864*v.
-4*v*(v - 1)*(v + 4)*(v + 54)
Factor -5*f**3 + 90*f**2 - 520*f + 960.
-5*(f - 8)*(f - 6)*(f - 4)
Find s such that 5*s**4 - 230*s**3 + 2645*s**2 = 0.
0, 23
Determine v so that -12*v**5 + 243*v**4 - 276*v**3 - 186*v**2 + 288*v - 57 = 0.
-1, 1/4, 1, 19
Factor -d**4/2 - d**3/2 + 3*d**2/2 + d/2 - 1.
-(d - 1)**2*(d + 1)*(d + 2)/2
Factor j**2/6 + j/2 - 3.
(j - 3)*(j + 6)/6
Factor 5*g**2 + 2640*g.
5*g*(g + 528)
Factor 2*u**3 + 6*u**2 - 18*u + 10.
2*(u - 1)**2*(u + 5)
Factor l**3/8 + 85*l**2/4 - 343*l/8 + 43/2.
(l - 1)**2*(l + 172)/8
Factor -2*h**4 + 260*h**3 - 11088*h**2 + 147136*h + 340736.
-2*(h - 44)**3*(h + 2)
Factor 2401*m**3/3 + 6272*m**2 - 1040*m + 128/3.
(m + 8)*(49*m - 4)**2/3
Let 7*d**4 + 2700*d**3 + 15251*d**2 + 19362*d - 6840 = 0. What is d?
-380, -3, 2/7
Find z such that 3*z**3/2 + 51*z**2/2 - 564*z - 1218 = 0.
-29, -2, 14
Let -3*l**3 + 1302*l**2 - 137280*l - 871200 = 0. Calculate l.
-6, 220
Let 54*r**2/5 + 328*r/5 + 24/5 = 0. Calculate r.
-6, -2/27
Let 75*y**4 - 165*y**3 + 12*y**2 + 36*y = 0. Calculate y.
-2/5, 0, 3/5, 2
Factor 75*y**2 - 6*y/5.
3*y*(125*y - 2)/5
Find n, given that -2*n**5 + 37*n**4/3 - 12*n**3 + 5*n**2/3 = 0.
0, 1/6, 1, 5
Factor -2*j**3/11 - 846*j**2/11 - 119286*j/11 - 5606442/11.
-2*(j + 141)**3/11
Factor -k**3/5 + 8*k**2/5 - 21*k/5 + 18/5.
-(k - 3)**2*(k - 2)/5
Factor -14*d**2/9 - 16*d/9 - 2/9.
-2*(d + 1)*(7*d + 1)/9
Let f**3/4 - 363*f**2 + 175692*f - 28344976 = 0. Calculate f.
484
Factor -2*z**4 + 12*z**3 - 44*z - 30.
-2*(z - 5)*(z - 3)*(z + 1)**2
Factor -2*l**3 + 78*l**2 + 80*l.
-2*l*(l - 40)*(l + 1)
Solve 2*r**5/7 - 46*r**4/7 + 382*r**3/7 - 1394*r**2/7 + 2208*r/7 - 1152/7 = 0.
1, 3, 8
Factor 5*n**4 - 15*n**3 - 15*n**2 + 35*n + 30.
5*(n - 3)*(n - 2)*(n + 1)**2
Factor -3*d**3/7 - 396*d**2/7 - 17424*d/7 - 255552/7.
-3*(d + 44)**3/7
Let -2*s**2/5 + 44*s/5 + 208/5 = 0. What is s?
-4, 26
Factor -2*x**2/7 - 6*x - 40/7.
-2*(x + 1)*(x + 20)/7
Let -i**2/4 - 101*i/4 = 0. Calculate i.
-101, 0
Factor 3*o**2 + 27*o + 54.
3*(o + 3)*(o + 6)
Factor 2*o**4/7 + 16*o**3/7 + 36*o**2/7 + 32*o/7 + 10/7.
2*(o + 1)**3*(o + 5)/7
Factor -4*o**2 + 28*o - 48.
-4*(o - 4)*(o - 3)
Determine t so that 18*t**5/5 - 1768*t**4/5 + 8362*t**3 + 78996*t**2/5 + 5080*t - 2000 = 0.
-1, 2/9, 50
Determine p, given that 396*p**4 + 24*p**3 - 69*p**2 + 9*p = 0.
-1/2, 0, 1/6, 3/11
Find x such that 2*x**4 + 106*x**3 + 1350*x**2 - 1458*x = 0.
-27, 0, 1
Suppose t**5 - t**4 - 29*t**3 - 79*t**2 - 80*t - 28 = 0. What is t?
-2, -1, 7
Determine q, given that 2*q**2 - 936*q/5 - 376/5 = 0.
-2/5, 94
Determine v, given that v**5/12 + 79*v**4/12 - 605*v**3/12 - 203*v**2/12 + 1195*v/3 + 1075/3 = 0.
-86, -2, -1, 5
Suppose 2*k**4/3 + 52*k**3/3 + 382*k**2/3 + 812*k/3 + 160 = 0. What is k?
-15, -8, -2, -1
Factor 2*s**4 + 6*s**3 - 8*s**2.
2*s**2*(s - 1)*(s + 4)
Solve -20*l**3 - 19568*l**2 - 4790244*l - 1912968 = 0 for l.
-489, -2/5
Find u such that -2*u**2/5 - 476*u/5 - 944/5 = 0.
-236, -2
Factor 5*s**3 - 55*s**2 + 40*s + 100.
5*(s - 10)*(s - 2)*(s + 1)
Solve 2*p**5 - 102*p**4 - 434*p**3 - 330*p**2 = 0 for p.
-3, -1, 0, 55
Suppose -n**5 - 26*n**4 + 55*n**3 - 28*n**2 = 0. Calculate n.
-28, 0, 1
Let -2*b**2/15 + 542*b/15 + 364/5 = 0. What is b?
-2, 273
Factor w**4/4 + 17*w**3/2 + 57*w**2/4 - 55*w + 32.
(w - 1)**2*(w + 4)*(w + 32)/4
Determine u so that -u**2/2 + 15*u/2 - 18 = 0.
3, 12
Find h, given that 2*h**5 - 24*h**4 + 82*h**3 + 4*h**2 - 384*h + 320 = 0.
-2, 1, 4, 5
Let -2*k**2/7 - 6*k/7 + 8/7 = 0. Calculate k.
-4, 1
Factor -o**4 - 9*o**3 + 201*o**2 - 371*o + 180.
-(o - 9)*(o - 1)**2*(o + 20)
Find u such that -4*u**4/5 + 78*u**3/5 - 86*u**2 + 516*u/5 - 32 = 0.
1/2, 1, 8, 10
Let -2*u**5/3 - 128*u**4/3 - 682*u**3 + 128*u**2/3 + 2048*u/3 = 0. Calculate u.
-32, -1, 0, 1
Factor -5*b**2/4 - 35*b/2 + 255/4.
-5*(b - 3)*(b + 17)/4
Let -u**2/3 - 520*u/3 - 67600/3 = 0. What is u?
-260
Let -2*g**3/13 - 14*g**2/13 - 32*g/13 - 24/13 = 0. What is g?
-3, -2
Solve -4*w**2 + 6848*w - 2930944 = 0 for w.
856
Factor -3*j**3/2 + 99*j**2 - 189*j/2 - 195.
-3*(j - 65)*(j - 2)*(j + 1)/2
Solve -j**3 - 3*j**2 + 33*j + 35 = 0 for j.
-7, -1, 5
Let -2*t**2/9 - 220*t/3 - 6050 = 0. What is t?
-165
Factor 2*j**2/11 + 80*j/11 + 800/11.
2*(j + 20)**2/11
Factor -d**2 - 4*d + 12.
-(d - 2)*(d + 6)
Factor g**5/7 + 2*g**4 + 24*g**3/7 - 2*g**2/7 - 25*g/7 - 12/7.
(g - 1)*(g + 1)**3*(g + 12)/7
What is z in -4*z**4/3 + 1492*z**3/3 - 46624*z**2 + 46128*z = 0?
0, 1, 186
Factor 2*n**2/7 + 7656*n/7 + 7326792/7.
2*(n + 1914)**2/7
Suppose -2*k**5/5 + 8*k**4/5 + 2*k**3 - 8*k**2 - 8*k/5 + 32/5 = 0. Calculate k.
-2, -1, 1, 2, 4
Factor 3*s**3/7 - 1308*s**2/7 - 375*s - 1314/7.
3*(s - 438)*(s + 1)**2/7
Solve -b**4/4 + 9*b**3/4 + b**2/4 - 9*b/4 = 0.
-1, 0, 1, 9
Determine o, given that o**2/2 - 5662*o + 16029122 = 0.
5662
Let 4*y**2 - 9324*y = 0. What is y?
0, 2331
Solve -4*m**3/13 - 14*m**2/13 + 10*m/13 + 8/13 = 0 for m.
-4, -1/2, 1
Let -2*q**3/7 - 150*q**2/7 + 306*q/7 - 22 = 0. Calculate q.
-77, 1
Factor -580*m**2 + 596*m - 16.
-4*(m - 1)*(145*m - 4)
Let v**4 - 15*v**3 + 25*v**2 + 15*v - 26 = 0. Calculate v.
-1, 1, 2, 13
Factor -a**2 + 4*a - 4.
-(a - 2)**2
What is u in 3*u**3 + 54*u**2 + 180*u - 600 = 0?
-10, 2
Let 5*g**5 - 180*g**4 = 0. What is g?
0, 36
Factor -r**2/4 + 7*r/2 + 15/4.
-(r - 15)*(r + 1)/4
Solve 4*l**4 - 96*l**3 - 244*l**2 + 864*l + 1872 = 0.
-3, -2, 3, 26
Suppose v**3/8 - 9*v**2/4 + 12*v - 16 = 0. Calculate v.
2, 8
What is d in 3*d**4/2 - 153*d**3/2 + 2601*d**2/2 - 14739*d/2 = 0?
0, 17
Let 45*t**3 - 45*t**2 - 5*t + 5 = 0. Calculate t.
-1/3, 1/3, 1
Find i, given that -2*i**2/11 - 7336*i/11 - 6727112/11 = 0.
-1834
Factor -2*u**4/9 + 122*u**3/9 - 1664*u**2/9 - 2048*u/3.
-2*u*(u - 32)**2*(u + 3)/9
Factor -2*g**2/3 - 38*g/3 - 140/3.
-2*(g + 5)*(g + 14)/3
Find s, given that -s**2 + 5128*s - 6574096 = 0.
2564
Factor -5*m**5 - 440*m**4 - 13310*m**3 - 186340*m**2 - 1244485*m - 3221020.
-5*(m + 11)**4*(m + 44)
Factor -p**2 + 51*p - 50.
-(p - 50)*(p - 1)
Let -4*a**4 + 19*a**3 - 27*a**2 + 8*a + 4 = 0. What is a?
-1/4, 1, 2
Solve -q**3 + 20*q**2 - 36*q = 0 for q.
0, 2, 18
Determine k so that -5*k**5 + 60*k**4 - 100*k**3 - 10*k**2 + 105*k - 50 = 0
|
{
"pile_set_name": "DM Mathematics"
}
|
at is the n'th term of 1775, 1786, 1813, 1868, 1963, 2110, 2321, 2608?
2*n**3 - 4*n**2 + 9*n + 1768
What is the c'th term of -28231396, -56462792, -84694188, -112925584, -141156980, -169388376?
-28231396*c
What is the d'th term of -9688268, -9688267, -9688266?
d - 9688269
What is the h'th term of 943431, 943298, 943163, 943026, 942887?
-h**2 - 130*h + 943562
What is the q'th term of 23349, 50341, 77333, 104325, 131317?
26992*q - 3643
What is the y'th term of 972, 2514, 4622, 7296, 10536, 14342?
283*y**2 + 693*y - 4
What is the y'th term of 50685, 99275, 147865, 196455, 245045?
48590*y + 2095
What is the i'th term of -23975, -47885, -71795, -95705, -119615?
-23910*i - 65
What is the l'th term of -1001, -2205, -3519, -4943?
-55*l**2 - 1039*l + 93
What is the v'th term of 1825383, 1825394, 1825405, 1825416?
11*v + 1825372
What is the g'th term of -4040133, -4040132, -4040131, -4040130?
g - 4040134
What is the p'th term of 422, -751, -1924, -3097, -4270?
-1173*p + 1595
What is the w'th term of -293570, -293598, -293660, -293768, -293934, -294170, -294488, -294900?
-2*w**3 - 5*w**2 + w - 293564
What is the t'th term of 177, 1462, 4965, 11796, 23065?
185*t**3 - t**2 - 7*t
What is the f'th term of 5636, 11309, 16998, 22709, 28448, 34221, 40034, 45893?
f**3 + 2*f**2 + 5660*f - 27
What is the q'th term of 71186, 71189, 71192?
3*q + 71183
What is the p'th term of 6209266, 12418535, 18627804, 24837073, 31046342?
6209269*p - 3
What is the m'th term of -234, -1501, -4920, -11565, -22510, -38829, -61596, -91885?
-179*m**3 - 2*m**2 - 8*m - 45
What is the z'th term of -100080, -200082, -300018, -399888?
33*z**2 - 100101*z - 12
What is the v'th term of -261, -1176, -2731, -4920, -7737, -11176, -15231, -19896?
v**3 - 326*v**2 + 56*v + 8
What is the r'th term of 129594049, 129594047, 129594045, 129594043, 129594041, 129594039?
-2*r + 129594051
What is the v'th term of 13456, 12757, 12070, 11401, 10756?
v**3 - 706*v + 14161
What is the t'th term of 5096, 4611, 4102, 3569?
-12*t**2 - 449*t + 5557
What is the d'th term of -110, -468, -1556, -3740, -7386, -12860?
-61*d**3 + d**2 + 66*d - 116
What is the j'th term of -238300457, -238300456, -238300455, -238300454?
j - 238300458
What is the j'th term of 19706, 19637, 19512, 19331, 19094, 18801?
-28*j**2 + 15*j + 19719
What is the y'th term of 164314, 656953, 1478018, 2627509?
164213*y**2 + 101
What is the h'th term of 1509165, 1509187, 1509209, 1509231, 1509253?
22*h + 1509143
What is the i'th term of 40899, 165170, 372291, 662262?
41425*i**2 - 4*i - 522
What is the l'th term of 15079557, 60318234, 135716031, 241272948, 376988985, 542864142, 738898419?
15079560*l**2 - 3*l
What is the c'th term of 8270, 9707, 12108, 15473, 19802, 25095?
482*c**2 - 9*c + 7797
What is the u'th term of 3815, 30190, 101769, 241154, 470947, 813750, 1292165, 1928794?
3767*u**3 + 6*u + 42
What is the u'th term of -189223, -378917, -568611, -758305, -947999?
-189694*u + 471
What is the z'th term of 1226182, 1226140, 1226098, 1226056, 1226014?
-42*z + 1226224
What is the x'th term of 304571, 609639, 915211, 1221293, 1527891, 1835011, 2142659?
x**3 + 246*x**2 + 304323*x + 1
What is the l'th term of 857577, 857452, 857329, 857208, 857089, 856972?
l**2 - 128*l + 857704
What is the h'th term of -2200028, -2199912, -2199796, -2199680, -2199564, -2199448?
116*h - 2200144
What is the l'th term of 148693, 297316, 445873, 594364, 742789, 891148?
-33*l**2 + 148722*l + 4
What is the m'th term of -3926, -7588, -10984, -14114, -16978, -19576, -21908?
133*m**2 - 4061*m + 2
What is the c'th term of -2197, -4351, -6439, -8425, -10273, -11947, -13411, -14629?
6*c**3 - 3*c**2 - 2187*c - 13
What is the t'th term of -4801, -4776, -4733, -4672?
9*t**2 - 2*t - 4808
What is the i'th term of 12675, 50709, 114109, 202875, 317007, 456505?
12683*i**2 - 15*i + 7
What is the p'th term of 1686, 960, 204, -588, -1422, -2304?
-p**3 - 9*p**2 - 692*p + 2388
What is the n'th term of -1477612, -2955218, -4432826, -5910436?
-n**2 - 1477603*n - 8
What is the z'th term of 87248, 174391, 261530, 348665, 435796?
-2*z**2 + 87149*z + 101
What is the n'th term of 53778816, 107557620, 161336424, 215115228, 268894032?
53778804*n + 12
What is the n'th term of -39763, -80093, -120423, -160753, -201083, -241413?
-40330*n + 567
What is the n'th term of -1615750, -1615770, -1615776, -1615762, -1615722, -1615650?
n**3 + n**2 - 30*n - 1615722
What is the i'th term of -2227167, -4454336, -6681505, -8908674, -11135843, -13363012?
-2227169*i + 2
What is the i'th term of -657405, -2629865, -5917373, -10519923, -16437509, -23670125?
i**3 - 657530*i**2 + 123*i + 1
What is the k'th term of -7000698, -7000697, -7000694, -7000689, -7000682, -7000673?
k**2 - 2*k - 7000697
What is the v'th term of 1197988, 1198551, 1199114, 1199677, 1200240, 1200803?
563*v + 1197425
What is the r'th term of 1120, 1394, 1582, 1636, 1508, 1150?
-8*r**3 + 5*r**2 + 315*r + 808
What is the u'th term of -32723791, -32723751, -32723711, -32723671, -32723631, -32723591?
40*u - 32723831
What is the o'th term of 18086466, 18086464, 18086462?
-2*o + 18086468
What is the u'th term of -4325, -8777, -13213, -17627, -22013, -26365, -30677?
u**3 + 2*u**2 - 4465*u + 137
What is the c'th term of 856000, 1712045, 2568090, 3424135, 4280180, 5136225?
856045*c - 45
What is the s'th term of -3206, -3136, -3042, -2912, -2734, -2496, -2186?
2*s**3 + 56*s - 3264
What is the s'th term of 29428044, 58856092, 88284142, 117712194, 147140248?
s**2 + 29428045*s - 2
What is the h'th term of -6683, -12996, -19381, -25838, -32367, -38968?
-36*h**2 - 6205*h - 442
What is the z'th term of 175060, 177361, 179660, 181957, 184252?
-z**2 + 2304*z + 172757
What is the m'th term of -38603, -154412, -347425, -617636, -965039, -1389628, -1891397, -2470340?
m**3 - 38608*m**2 + 8*m - 4
What is the p'th term of 8716, 10700, 14010, 18646?
663*p**2 - 5*p + 8058
What is the v'th term of 3822, 15216, 34218, 60834, 95070, 136932?
v**3 + 3798*v**2 - 7*v + 30
What is the f'th term of 28436143, 56872285, 85308427, 113744569, 142180711, 170616853?
28436142*f + 1
What is the c'th term of 686, 1072, 2070, 3986, 7126?
51*c**3 + 29*c + 606
What is the s'th term of 3082, 11118, 32932, 75412, 145446?
1148*s**3 + s**2 - 3*s + 1936
What is the h'th term of -36601, -72950, -109047, -144892?
126*h**2 - 36727*h
What is the c'th term of 8768419, 17536806, 26305193, 35073580, 43841967, 52610354?
8768387*c + 32
What is the x'th term of 100, 704, 1314, 1948, 2624?
3*x**3 - 15*x**2 + 628*x - 516
What is the h'th term of -7817111, -15634126, -23451141?
-7817015*h - 96
What is the g'th term of 4407, 4497, 4605, 4731?
9*g**2 + 63*g + 4335
What is the m'th term of -1162, -2516, -4260, -6592, -9710?
-33*m**3 + 3*m**2 - 1132*m
What is the o'th term of -4583018, -9165903, -13748788, -18331673, -22914558?
-4582885*o - 133
What is the z'th term of 206275704, 206275705, 206275706?
z + 206275703
What is the a'th term of 10, -130, -434, -908, -1558?
-a**3 - 76*a**2 + 95*a - 8
What is the j'th term of -531281, -531260, -531241, -531224, -531209?
-j**2 + 24*j - 531304
What is the z'th term of -263708, -527450, -791196, -1054946, -1318700, -1582458?
-2*z**2 - 263736*z + 30
What is the m'th term of 3574483, 14297931, 32170341, 57191713, 89362047?
3574481*m**2 + 5*m - 3
What is the l'th term of -16849, -33791, -50839, -67993, -85253?
-53*l**2 - 16783*l - 13
What is the f'th term of -955795, -956088, -956381, -956674?
-293*f - 955502
What is the d'th term of 286594, 573368, 860142, 1146916, 1433690?
286774*d - 180
What is the p'th term of -3130178, -3130182, -3130186, -3130190?
-4*p - 3130174
What is the o'th term of -1885, -3589, -5319, -7087, -8905, -10785, -12739?
-2*o**3 - o**2 - 1687*o - 195
What is the s'th term of -20371, -29996, -39621, -49246, -58871?
-9625*s - 10746
What is the q'th term of -588551, -1177342, -1766135, -2354930?
-q**2 - 588788*q + 238
What is the o'th term of 4875, 5794, 6713, 7632?
919*o + 3956
What is the t'th term of -1988178, -1988122, -1988066?
56*t - 1988234
What is the p'th term of 18194, 72627, 163286, 290171, 453282?
18113*p**2 + 94*p - 13
What is the l'th term of -830, -603, -184, 451, 1326, 2465?
4*l**3 + 72*l**2 - 17*l - 889
What is the l'th term of 12202983, 12202985,
|
{
"pile_set_name": "DM Mathematics"
}
|
by 1638.
12
What is the remainder when 1224 is divided by 7?
6
Calculate the remainder when 398 is divided by 198.
2
Calculate the remainder when 3919 is divided by 98.
97
Calculate the remainder when 857 is divided by 51.
41
Calculate the remainder when 765 is divided by 194.
183
Calculate the remainder when 182 is divided by 73.
36
What is the remainder when 1005 is divided by 436?
133
Calculate the remainder when 1161 is divided by 166.
165
Calculate the remainder when 493 is divided by 28.
17
Calculate the remainder when 561 is divided by 277.
7
What is the remainder when 3392 is divided by 564?
8
What is the remainder when 282 is divided by 68?
10
Calculate the remainder when 32 is divided by 2.
0
What is the remainder when 106 is divided by 18?
16
Calculate the remainder when 718 is divided by 94.
60
Calculate the remainder when 239 is divided by 55.
19
Calculate the remainder when 2628 is divided by 188.
184
Calculate the remainder when 72 is divided by 4.
0
What is the remainder when 48 is divided by 10?
8
What is the remainder when 40 is divided by 28?
12
What is the remainder when 539 is divided by 13?
6
Calculate the remainder when 881 is divided by 26.
23
Calculate the remainder when 49 is divided by 16.
1
What is the remainder when 231 is divided by 59?
54
What is the remainder when 188 is divided by 16?
12
Calculate the remainder when 177 is divided by 60.
57
Calculate the remainder when 92 is divided by 26.
14
Calculate the remainder when 242 is divided by 31.
25
What is the remainder when 3710 is divided by 64?
62
Calculate the remainder when 2610 is divided by 1304.
2
Calculate the remainder when 35 is divided by 14.
7
What is the remainder when 13142 is divided by 13?
12
What is the remainder when 194 is divided by 81?
32
What is the remainder when 707 is divided by 700?
7
Calculate the remainder when 20 is divided by 4.
0
Calculate the remainder when 383 is divided by 123.
14
What is the remainder when 368 is divided by 90?
8
What is the remainder when 1485 is divided by 79?
63
What is the remainder when 226 is divided by 107?
12
Calculate the remainder when 87 is divided by 3.
0
What is the remainder when 789 is divided by 94?
37
Calculate the remainder when 398 is divided by 15.
8
Calculate the remainder when 2101 is divided by 81.
76
What is the remainder when 546 is divided by 92?
86
Calculate the remainder when 6304 is divided by 17.
14
Calculate the remainder when 8 is divided by 3.
2
Calculate the remainder when 62 is divided by 59.
3
What is the remainder when 944 is divided by 2?
0
What is the remainder when 7426 is divided by 12?
10
What is the remainder when 6450 is divided by 3225?
0
Calculate the remainder when 1390 is divided by 135.
40
Calculate the remainder when 396 is divided by 75.
21
What is the remainder when 2285 is divided by 143?
140
What is the remainder when 442 is divided by 134?
40
What is the remainder when 16056 is divided by 74?
72
What is the remainder when 1215 is divided by 91?
32
Calculate the remainder when 231 is divided by 40.
31
Calculate the remainder when 123 is divided by 8.
3
What is the remainder when 142 is divided by 36?
34
Calculate the remainder when 3276 is divided by 16.
12
What is the remainder when 281 is divided by 97?
87
What is the remainder when 54 is divided by 16?
6
What is the remainder when 321 is divided by 23?
22
What is the remainder when 491 is divided by 15?
11
What is the remainder when 158 is divided by 69?
20
Calculate the remainder when 6993 is divided by 3492.
9
What is the remainder when 77 is divided by 16?
13
What is the remainder when 75 is divided by 40?
35
Calculate the remainder when 10691 is divided by 324.
323
Calculate the remainder when 1544 is divided by 3.
2
Calculate the remainder when 2442 is divided by 94.
92
What is the remainder when 181 is divided by 37?
33
Calculate the remainder when 160 is divided by 85.
75
Calculate the remainder when 135 is divided by 16.
7
Calculate the remainder when 22 is divided by 17.
5
What is the remainder when 148 is divided by 15?
13
What is the remainder when 687 is divided by 69?
66
What is the remainder when 15 is divided by 2?
1
What is the remainder when 617 is divided by 204?
5
What is the remainder when 89 is divided by 15?
14
Calculate the remainder when 1886 is divided by 603.
77
What is the remainder when 263 is divided by 44?
43
What is the remainder when 3093 is divided by 18?
15
What is the remainder when 35 is divided by 25?
10
Calculate the remainder when 86 is divided by 42.
2
Calculate the remainder when 37 is divided by 14.
9
What is the remainder when 662 is divided by 135?
122
What is the remainder when 943 is divided by 178?
53
Calculate the remainder when 6186 is divided by 52.
50
Calculate the remainder when 71 is divided by 24.
23
Calculate the remainder when 415 is divided by 22.
19
What is the remainder when 190 is divided by 81?
28
What is the remainder when 4777 is divided by 84?
73
Calculate the remainder when 38005 is divided by 17.
10
What is the remainder when 117 is divided by 34?
15
What is the remainder when 2162 is divided by 240?
2
What is the remainder when 725 is divided by 106?
89
Calculate the remainder when 218 is divided by 56.
50
What is the remainder when 202 is divided by 7?
6
What is the remainder when 932 is divided by 14?
8
Calculate the remainder when 531 is divided by 40.
11
What is the remainder when 177 is divided by 62?
53
What is the remainder when 831 is divided by 273?
12
What is the remainder when 762 is divided by 758?
4
What is the remainder when 2163 is divided by 259?
91
What is the remainder when 747 is divided by 170?
67
What is the remainder when 845 is divided by 23?
17
Calculate the remainder when 617 is divided by 85.
22
Calculate the remainder when 282 is divided by 32.
26
What is the remainder when 408 is divided by 128?
24
Calculate the remainder when 294 is divided by 47.
12
What is the remainder when 1163 is divided by 32?
11
Calculate the remainder when 250 is divided by 122.
6
Calculate the remainder when 86 is divided by 12.
2
Calculate the remainder when 594 is divided by 190.
24
What is the remainder when 124 is divided by 6?
4
Calculate the remainder when 181 is divided by 139.
42
Calculate the remainder when 472 is divided by 127.
91
Calculate the remainder when 249 is divided by 243.
6
What is the remainder when 4646 is divided by 47?
40
Calculate the remainder when 237 is divided by 31.
20
What is the remainder when 1724 is divided by 14?
2
Calculate the remainder when 94 is divided by 32.
30
What is the remainder when 9367 is divided by 66?
61
What is the remainder when 6419 is divided by 493?
10
What is the remainder when 298 is divided by 17?
9
What is the remainder when 32319 is divided by 10?
9
What is the remainder when 167 is divided by 42?
41
What is the remainder when 4019 is divided by 60?
59
What is the remainder when 180 is divided by 87?
6
What is the remainder when 413 is divided by 37?
6
What is the remainder when 904 is divided by 21?
1
Calculate the remainder when 61 is divided by 16.
13
Calculate the remainder when 2157 is divided by 144.
141
What is the remainder when 158 is divided by 52?
2
Calculate the remainder when 3252 is divided by 180.
12
Calculate the remainder when 7916 is divided by 273.
272
What is the remainder when 289 is divided by 94?
7
Calculate the remainder when 7699 is divided by 110.
109
Calculate the remainder when 3869 is divided by 105.
89
Calculate the remainder when 802 is divided by 369.
64
What is the remainder when 13085 is divided by 32?
29
Calculate the remainder when 763 is divided by 85.
83
What is the remainder when 431 is divided by 52?
15
Calculate the remainder when 389 is divided by 54.
11
What is the remainder when 878 is divided by 67?
7
Calculate the remainder when 117 is divided by 42.
33
Calculate the remainder when 541 is divided by 33.
13
Calculate the remainder when 709 is divided by 22.
5
Calculate the remainder when 33 is divided by 7.
5
Calculate the remainder when 19 is divided by 8.
3
Calculate the remainder when 199 is divided by 71.
57
What is the remainder when 80 is divided by 41?
39
Calculate the remainder when 445 is divided by 28.
25
What is the
|
{
"pile_set_name": "DM Mathematics"
}
|
1 + 5. Let m(i) be the third derivative of -i**4/24 - i**3/6 - 58*i**2. Let q(n) = d(n) + 4*m(n). Differentiate q(g) wrt g.
16
What is the second derivative of 4535*d**4 - 10 + 654*d + 2857*d + 1854*d**4 + 9 + 574*d**4 wrt d?
83556*d**2
Let n = -359 + 364. Find the third derivative of 5*f**5 - n*f**3 - 10*f**2 - 3 - 3*f**5 - 5*f**2 + 4*f**2 wrt f.
120*f**2 - 30
Let r(p) = 27*p + 140. Let w be r(9). Find the second derivative of -a**3 - 127*a - 24 + w*a - 46*a**5 + 24 wrt a.
-920*a**3 - 6*a
Suppose -36 - 34 = -14*v. What is the second derivative of -605*h**v - 13 + 178*h**5 + 169*h**5 + h wrt h?
-5160*h**3
Differentiate -979 - 74*m**4 - 20*m**4 + 155*m**4 - 17*m**3 - 1009 with respect to m.
244*m**3 - 51*m**2
Let q(z) = -9637*z**2 + 2*z + 4546. Let p(x) = 9636*x**2 - 3*x - 4547. Let o(g) = -2*p(g) - 3*q(g). Differentiate o(i) with respect to i.
19278*i
What is the second derivative of 996 + 14*v + 244 - 105 - 15*v - 19 - 507*v**2 wrt v?
-1014
Let c(h) be the first derivative of 0*h**4 + 0*h + 133 + 0*h**5 + 0*h**2 - 43*h**3 - 77/3*h**6. What is the third derivative of c(u) wrt u?
-9240*u**2
Let r(y) be the second derivative of 0 + 149/6*y**3 - 146*y - 237/2*y**2. Differentiate r(q) with respect to q.
149
Let k = 17329 + -17327. Let o(t) be the first derivative of 0*t**4 + 0*t + 4 + 7/3*t**3 + 0*t**k - 36/5*t**5. What is the third derivative of o(x) wrt x?
-864*x
Let o(t) = t**2 - 4*t - 21. Let v(i) = 3*i - 17. Let a be v(8). Let l be o(a). Find the third derivative of l*k**3 + 19*k**2 - 2*k**3 + 2*k**3 + 6*k**6 wrt k.
720*k**3
Let y(f) = -84*f**2 + 2*f. Let q be y(-1). Let v = q + 93. What is the third derivative of v*p**2 - 7*p**3 - 6*p**2 - 20*p**2 - p**3 wrt p?
-48
Let o(k) be the second derivative of 311*k**5/20 + 1051*k**3/3 + 140*k + 5. What is the second derivative of o(t) wrt t?
1866*t
Let n be -6*-2*(-2)/(-8). Suppose o - 2 = -3*u, 55*u - 60*u + 2 = 2*o. Find the second derivative of -8*a**3 + 8*a - 13*a**3 - 7*a**n + u*a**3 wrt a.
-156*a
Let t(j) be the second derivative of 96*j**4 - j**3/3 + 1747*j**2/2 - 5510*j - 2. Find the first derivative of t(x) wrt x.
2304*x - 2
Let y(k) = -k**3 + 2*k**2 + 4*k + 1. Let h be y(-1). Let w be 5 + h + -7 + 4. What is the third derivative of 107*m**3 - 8*m**2 - 10*m**w - 120*m**3 wrt m?
-78
What is the second derivative of 981*x - 1873*x - 11 - 1073*x**2 + 934*x wrt x?
-2146
Let d be -2*(4 + 21/(-2)). Differentiate -74*v**3 - 25*v + d*v - 11 + 12*v with respect to v.
-222*v**2
Let h = 919 - 914. What is the second derivative of -2*w**4 + 145*w + 11*w**5 + 46 - 20 - 9*w**h - 26 wrt w?
40*w**3 - 24*w**2
Let i(n) be the third derivative of 11*n**5/10 + 53*n**4/24 - 8341*n**3/6 - 2482*n**2. Find the first derivative of i(k) wrt k.
132*k + 53
Differentiate -744 - 668 + 15*v**4 - 17*v**4 - 444*v with respect to v.
-8*v**3 - 444
What is the second derivative of -9974*k**2 + 5744*k + 967*k**2 + 2 + 1227*k**2 - 2 wrt k?
-15560
Let h(v) be the first derivative of 3/4*v**4 + 0*v**2 + 29 + 8/3*v**3 + 18/5*v**5 - 2*v. Find the third derivative of h(l) wrt l.
432*l + 18
Let b(w) = -904*w**4 - w**3 + 8*w**2 - 6527*w + 6. Let s(i) = 2*i**4 - 4*i**2 - 3. Let t(m) = b(m) + 2*s(m). Find the second derivative of t(v) wrt v.
-10800*v**2 - 6*v
Suppose 0 = -13*f + 22*f - 27. What is the derivative of -113*v - 132 - 22*v - 49*v + 2*v - f*v wrt v?
-185
Let t = -187 + 192. Find the second derivative of t*l**2 - 24*l**2 + 21*l**2 + 115*l + 63*l**4 + 70*l wrt l.
756*l**2 + 4
Let v be (-19)/(-57)*(-2 + 2). Let z(g) be the second derivative of v + 1/4*g**4 + 0*g**3 + 21*g - 1/2*g**2. Find the first derivative of z(n) wrt n.
6*n
Let g(s) = -s**4 - 2*s**3 - s**2 + 2*s. Let f(m) = -439*m**4 + 5*m**3 + 11165*m. Let u(l) = -f(l) - 2*g(l). What is the second derivative of u(x) wrt x?
5292*x**2 - 6*x + 4
Let u(d) = 295*d**5 + 230*d**2 - 9*d. Let t(m) = 294*m**5 + 228*m**2 - 12*m. Let o(z) = 3*t(z) - 4*u(z). Find the third derivative of o(b) wrt b.
-17880*b**2
Let i(z) = -11*z**2 + 1292*z + 967. Let c(p) = 18*p**2 - 1938*p - 1450. Let h(s) = 5*c(s) + 8*i(s). Differentiate h(f) with respect to f.
4*f + 646
Suppose -2*g + 4 = 2*c + 2*g, -2*g + 2 = -c. Let v be 1 + 2 - (1 - c). Find the third derivative of -43*f**3 - 15*f**v + 26*f**4 + 43*f**3 wrt f.
624*f
Let c(d) be the first derivative of 577*d**3 + 3*d**2 + 141*d + 979. What is the second derivative of c(r) wrt r?
3462
Find the second derivative of 926*z - 301*z**4 - 6*z**3 + 3459*z - z**2 - 635 - 520 + 1155 wrt z.
-3612*z**2 - 36*z - 2
Let j = 128 - 125. Find the first derivative of 4*h**2 - 5*h**3 - 24 - j*h**2 - 10*h**2 + 2*h**3 wrt h.
-9*h**2 - 18*h
Let r(m) be the third derivative of -2609*m**5/30 + 2261*m**3/6 - 3*m**2 + 631*m. What is the first derivative of r(s) wrt s?
-10436*s
What is the second derivative of 51*g**3 + 22*g**4 - 1276*g - 34*g**3 + 8*g**4 - 19*g**3 - 36*g**2 wrt g?
360*g**2 - 12*g - 72
Find the third derivative of -1924*z**6 + 1841*z**6 - 2*z**2 - 22*z**2 - 20 wrt z.
-9960*z**3
Let h(f) be the second derivative of 109*f**6 + f**5/20 + f**4/6 + 401*f**3/3 + f**2/2 - 4897*f. Find the third derivative of h(v) wrt v.
78480*v + 6
What is the second derivative of 4*h + 7481 - 14958 + 7496 + 901*h**5 wrt h?
18020*h**3
Let f(j) = -2632*j**2 + 30*j - 2298. Let k(h) = 5262*h**2 - 76*h + 4598. Let u(q) = 5*f(q) + 2*k(q). What is the second derivative of u(g) wrt g?
-5272
Let q(x) be the second derivative of 0*x**4 - 7/2*x**3 + 0*x**2 - 197/30*x**6 + 0*x**5 - 81 - x. Find the second derivative of q(n) wrt n.
-2364*n**2
What is the third derivative of -1 - 316*m**2 + 96*m**2 + 111*m**2 - 136*m**3 + 1066*m**3 - 831*m**2 wrt m?
5580
Let z(r) be the third derivative of 7639*r**6/120 + r**5/4 + 34*r**3 - 6*r**2 - r - 28. What is the third derivative of z(m) wrt m?
45834
Let p(d) be the second derivative of 9*d**8/56 - 142*d**7/21 + 64*d**4 + d**3/6 + d**2 - 6168*d. What is the third derivative of p(q) wrt q?
1080*q**3 - 17040*q**2
Find the second derivative of 8 + 13 + 33*r - 4*r**5 + 10 + 3598*r**3 + 2*r**5 wrt r.
-40*r**3 + 21588*r
Let h be (-216)/189 + 64/7. Find the third derivative of -3*r**2 + 9 - h + 3*r**2 - 110*r**4 - 5*r**2 wrt r.
-2640*r
Let l be -6*1 - (-33 - -23). Find the second derivative of 29*y**2 - 29*y**2 + 2*y**l + 128*y - 10*y**4 wrt y.
-96*y**2
What is the second derivative of -913*c + 132*c**3 + 136*c**3 + 16*c**4 + 18*c**4 - 263*c**3 wrt c?
408*c**2 + 30*c
Let g(p) be the third derivative of p**7/210 + 393*p**5/20 - 1157*p**4/12 + 2836*p**2. What is the second derivative of g(i) wrt i?
12*i**2 + 2358
Let f = -59 - -61. Let s be (-7 + 4 + f)*-2. What is the third derivative of 21*t**s - 3*t**4 + 59*t - 59*t + t**4 wrt t?
-48*t
Let r(p) be the third derivative of 2*p**2 - 7/60*p**6 + 1/30*p**5 - 19/6*p**3 + 0*p**4 + 0*p - 17. Find the third derivative of r(j) wrt j.
-84
Let c(o) = o + 16. Let d be c(-5). Suppose 2*i + 2*i - d = -m, 26 = 4*m - 2*i. What is the second derivative of -u - 2*u**3 + 0*u - m*u**3 wrt u?
-54*u
Let x(w) = 135*w + 14042. Let t be x(-104). Let h(b) be the first derivative of 19 + 39/2*b**t - 34*b. What is the first derivative of h(k) wrt k?
39
Suppose -8*j = -21 - 43. Suppose 45*i = 43*i + j. Find the third derivative of 23*s**6 + 29*s**i + 7*s**2 - 29*s**4 - 3*s**2 wrt s.
2760*s**3
Find the second derivative of 728*x + 1622*x - 1136*x**4 - 119*x wrt x.
-13632*x**2
Let x(v) = -v**2 - 1. Let r(b) = -2133*b**3 + 8*b**2 - 277. Let q(d) = r(d) + 6*x(d). What is the third derivative of q(k) wrt k?
-12798
Let f(u) be the third derivative of -71*u**7/210 + 2*u**5/5 - 1927*u**4/12 + 4*u**2 - 10*u - 12. What is the second derivative of f(k) wrt k?
-852*k**2 + 48
Let c(k) = 126*k**2 + 33*k + 2. Let n(x) = 14*x - 632*x**2 - 16 + 5 - 93*x - 85*x. Let u(a) = -11*c(a) - 2*n(a). What is the second derivative of u(d) wrt d?
-244
Let o(h) be the second derivative of 379*h**5/5 - 437*h**4/4 + 253*h. Find the third derivative of o(k) wrt k.
9096
Let c(t) be the first derivative of -20*t**4/3 + 17*t**3/2 - 115*t - 57. Let g(p) be the first derivative of c(p). What is the second derivative of g(d) wrt d?
-160
Let g(v) = -1513*v**2 - 3*v. Let s(i) = 4540*i**2 + 8*i + 6. Let x(j) = -8*g(j) - 3*s(j). Differentiate x(o) with respect to o.
-3032*o
Let u
|
{
"pile_set_name": "DM Mathematics"
}
|
of -257, -513, -765, -1013, -1257, -1497?
2*a**2 - 262*a + 3
What is the b'th term of -964, -954, -930, -886, -816, -714, -574?
b**3 + b**2 - 966
What is the m'th term of 279, 324, 379, 450, 543, 664, 819, 1014?
m**3 - m**2 + 41*m + 238
What is the w'th term of -419, -415, -397, -359, -295?
w**3 + w**2 - 6*w - 415
What is the o'th term of -2, 2, -6, -32, -82, -162, -278, -436?
-o**3 + 11*o - 12
What is the p'th term of -87, -126, -191, -282, -399, -542, -711?
-13*p**2 - 74
What is the f'th term of 1587, 1586, 1585, 1584?
-f + 1588
What is the v'th term of -363, -369, -387, -423, -483, -573?
-v**3 + v - 363
What is the s'th term of 122, 240, 354, 464, 570?
-2*s**2 + 124*s
What is the t'th term of 51, 191, 425, 753, 1175, 1691?
47*t**2 - t + 5
What is the p'th term of -13, -133, -459, -1093, -2137, -3693, -5863?
-17*p**3 - p**2 + 2*p + 3
What is the y'th term of -30, -152, -356, -642?
-41*y**2 + y + 10
What is the a'th term of -633, -632, -631?
a - 634
What is the u'th term of -3134, -3130, -3132, -3146, -3178, -3234, -3320, -3442?
-u**3 + 3*u**2 + 2*u - 3138
What is the b'th term of -8, -28, -48, -68, -88, -108?
-20*b + 12
What is the a'th term of -8, -43, -104, -191, -304?
-13*a**2 + 4*a + 1
What is the x'th term of 5141, 10280, 15419, 20558?
5139*x + 2
What is the o'th term of -438, -878, -1318, -1758?
-440*o + 2
What is the y'th term of 13, 15, 15, 13, 9, 3?
-y**2 + 5*y + 9
What is the p'th term of -4, 2, 16, 38, 68, 106?
4*p**2 - 6*p - 2
What is the l'th term of -34, -72, -110, -148, -186, -224?
-38*l + 4
What is the j'th term of 24829, 24830, 24831, 24832, 24833?
j + 24828
What is the l'th term of -269, -267, -263, -257, -249?
l**2 - l - 269
What is the b'th term of -15532, -15537, -15552, -15583, -15636?
-b**3 + b**2 - b - 15531
What is the u'th term of -10, -10, -18, -40, -82, -150, -250, -388?
-u**3 + 2*u**2 + u - 12
What is the l'th term of -2087, -4172, -6257, -8342, -10427, -12512?
-2085*l - 2
What is the t'th term of -109, -124, -139, -154?
-15*t - 94
What is the z'th term of -45, -33, -17, 3, 27, 55, 87?
2*z**2 + 6*z - 53
What is the q'th term of -16, -15, 0, 29, 72, 129?
7*q**2 - 20*q - 3
What is the g'th term of -221, -444, -667?
-223*g + 2
What is the f'th term of -131, -536, -1211, -2156, -3371, -4856?
-135*f**2 + 4
What is the x'th term of 33, 177, 417, 753, 1185, 1713?
48*x**2 - 15
What is the s'th term of -144, -295, -448, -603?
-s**2 - 148*s + 5
What is the x'th term of 20, 35, 46, 53?
-2*x**2 + 21*x + 1
What is the k'th term of 206, 208, 210, 212?
2*k + 204
What is the r'th term of 1219, 1209, 1175, 1105, 987, 809?
-2*r**3 + 4*r + 1217
What is the d'th term of 425, 423, 427, 443, 477, 535?
d**3 - 3*d**2 + 427
What is the j'th term of 30, 115, 254, 447, 694, 995, 1350?
27*j**2 + 4*j - 1
What is the o'th term of -56, -60, -64, -68, -72?
-4*o - 52
What is the v'th term of 35, 67, 97, 125?
-v**2 + 35*v + 1
What is the d'th term of 12, 9, 6, 3, 0, -3?
-3*d + 15
What is the m'th term of 43, 77, 111, 145?
34*m + 9
What is the o'th term of -69, -60, -45, -24?
3*o**2 - 72
What is the t'th term of -156, -159, -162, -165, -168?
-3*t - 153
What is the p'th term of 1183, 1185, 1187?
2*p + 1181
What is the b'th term of 578, 580, 582?
2*b + 576
What is the f'th term of -36, -74, -110, -144, -176, -206?
f**2 - 41*f + 4
What is the i'th term of 864, 869, 884, 915, 968?
i**3 - i**2 + i + 863
What is the i'th term of 2040, 2042, 2044, 2046?
2*i + 2038
What is the z'th term of -105, -208, -315, -426, -541, -660?
-2*z**2 - 97*z - 6
What is the y'th term of 23, 13, -19, -85, -197, -367, -607?
-2*y**3 + y**2 + y + 23
What is the a'th term of -12177, -12178, -12179?
-a - 12176
What is the l'th term of -290, -285, -278, -269, -258, -245?
l**2 + 2*l - 293
What is the v'th term of 4, 14, 32, 58, 92, 134?
4*v**2 - 2*v + 2
What is the j'th term of -19, -63, -137, -241?
-15*j**2 + j - 5
What is the g'th term of -67, -65, -63, -61, -59?
2*g - 69
What is the l'th term of -140, -126, -94, -38, 48?
l**3 + 3*l**2 - 2*l - 142
What is the x'th term of 9, -15, -71, -171, -327?
-2*x**3 - 4*x**2 + 2*x + 13
What is the f'th term of 153, 154, 155, 156, 157?
f + 152
What is the y'th term of 245, 287, 361, 473, 629, 835, 1097, 1421?
y**3 + 10*y**2 + 5*y + 229
What is the v'th term of 308, 305, 300, 293, 284?
-v**2 + 309
What is the j'th term of 49, 103, 171, 259, 373, 519, 703?
j**3 + j**2 + 44*j + 3
What is the a'th term of -15, -140, -479, -1140, -2231?
-18*a**3 + a**2 - 2*a + 4
What is the b'th term of -37, -75, -113?
-38*b + 1
What is the d'th term of -6, -28, -64, -114, -178?
-7*d**2 - d + 2
What is the t'th term of -23, -32, -33, -20, 13, 72, 163?
t**3 - 2*t**2 - 10*t - 12
What is the b'th term of -3, -37, -95, -177?
-12*b**2 + 2*b + 7
What is the m'th term of 2770, 5537, 8304, 11071, 13838, 16605?
2767*m + 3
What is the o'th term of 114, 187, 380, 753, 1366, 2279, 3552?
10*o**3 + 3*o + 101
What is the l'th term of 41, 154, 341, 602, 937?
37*l**2 + 2*l + 2
What is the n'th term of 490, 507, 514, 505, 474, 415, 322?
-n**3 + n**2 + 21*n + 469
What is the c'th term of -4, -29, -60, -91, -116, -129?
c**3 - 9*c**2 - 5*c + 9
What is the q'th term of 94, 401, 906, 1603, 2486, 3549, 4786, 6191?
-q**3 + 105*q**2 - q - 9
What is the y'th term of -12644, -12650, -12658, -12668, -12680?
-y**2 - 3*y - 12640
What is the x'th term of 17, 96, 227, 410, 645, 932?
26*x**2 + x - 10
What is the k'th term of -6, -41, -94, -159, -230, -301?
k**3 - 15*k**2 + 3*k + 5
What is the o'th term of -213, -425, -637, -849?
-212*o - 1
What is the k'th term of -37, -62, -101, -160, -245, -362, -517?
-k**3 - k**2 - 15*k - 20
What is the k'th term of 14, 11, -10, -61, -154, -301, -514?
-2*k**3 + 3*k**2 + 2*k + 11
What is the l'th term of 19724, 39446, 59170, 78896, 98624, 118354, 138086?
l**2 + 19719*l + 4
What is the q'th term of 27, 63, 113, 177, 255, 347?
7*q**2 + 15*q + 5
What is the k'th term of -78, -58, -26, 18, 74?
6*k**2 + 2*k - 86
What is the h'th term of 30583, 30586, 30591, 30598?
h**2 + 30582
What is the a'th term of -8, -3, 6, 19, 36, 57, 82?
2*a**2 - a - 9
What is the a'th term of -258, -291, -324?
-33*a - 225
What is the y'th term of 2056, 4116, 6176, 8236, 10296, 12356?
2060*y - 4
What is the m'th term of -62, -42, -8, 40, 102, 178, 268?
7*m**2 - m - 68
What is the b'th term of -1383, -2772, -4163, -5556, -6951, -8348?
-b**2 - 1386*b + 4
What is the f'th term of 596, 604, 612, 620?
8*f + 588
What is the i'th term of -263, -526, -789, -1052, -1315?
-263*i
What is the s'th term of -357, -356, -341, -306, -245, -152, -21?
s**3 + s**2 - 9*s - 350
What is the l'th term of -5045, -5044, -5043, -5042, -5041, -5040?
l - 5046
What is the s'th term of 9, 20, 33, 48, 65?
s**2 + 8*s
What is the s'th term of -771, -772, -775, -780, -787?
-s**2 + 2*s - 772
What is the d'th term of -423, -421, -417, -411?
d**2 - d - 423
What is the r'th term of -278, -1111, -2500, -4445, -6946?
-278*r**2 + r - 1
What is the d'th term of 440, 913, 1412, 1949, 2536?
2*d**3 + d**2 + 456*d - 19
What is the v'th term of 694, 706, 730, 772, 838, 934?
v**3 + 5*v + 688
What is the g'th term of -68, -83, -110, -155, -224, -323?
-g**3 - 8*g - 59
What is the c'th term of 371, 383, 399, 419, 443, 471?
2*c**2 + 6*c + 363
What is the r'th term of 30, 27, 24, 21, 18?
-3*r + 33
What is the f'th term of -6, -2, 2?
4*f - 10
What is the o'th term of -26, -22, -16, -8?
o**2 + o - 28
What is the z'th term of 305, 621, 951, 1301, 1677, 2085, 2531?
z**3 + z**2 + 306*z - 3
What is the o'th term of 628, 617, 592, 547, 476?
-o**3 - o**2 - o + 631
What is the g'th term of -16096, -32194, -48292, -64390, -80488?
-16098*g + 2
What is the y'th term of -501, -523, -557, -597, -637, -671, -693, -697?
y**3 - 12*y**2 + 7*y - 497
What is the o'th term of 0, 43, 122, 237, 388, 575, 798?
18*o**2 - 11*o - 7
What is the v'th term of 149, 299, 449, 599?
150*v - 1
What is the m'th term of 46, 126, 252, 418, 618, 846?
-m**3 + 29*m**2 + 18
What is the k'th term of -36840, -36841, -36842, -36843, -36844, -36845?
-k - 36839
What is the z'th term of 82, 201, 328, 469, 630, 817?
z**3 - 2*z**2 + 118*z - 35
What is the i'th term of -269, -271, -273, -275?
-2*i - 267
What is the q'th term of -15179, -30361, -45543, -60725, -75907, -91089?
-15182*q + 3
Wh
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let o be 0 + 4 + -2 + -5. Calculate o*l(i) + 7*b(i).
-2*i + 1
Let c(b) be the first derivative of -11*b**2 + 12*b + 1. Let h(n) = -27*n + 22. Let d(a) = -9*a + 7. Let f(o) = 7*d(o) - 2*h(o). Calculate 5*c(g) - 12*f(g).
-2*g
Suppose -2*j = 8, j = 5*r + 15 - 99. Let w be r/24 - (-8)/6. Let p(u) = -4 - 2 + w*u + 0*u + 0*u. Let h(g) = -2*g + 5. Give 6*h(b) + 5*p(b).
-2*b
Let h(u) = -5*u + 2 + 2 + 2*u. Let n(j) = 7 + j - 9 + 1. Determine -h(c) - 5*n(c).
-2*c + 1
Let m = 11 + -9. Let j be (8/14)/(m/7). Let d be 3/((-2)/(-1) - 3). Let y(z) = -4*z**2. Let v(s) = -3*s**2. Calculate d*v(t) + j*y(t).
t**2
Let r(b) = b**3 + 2*b + 24. Let u(v) = 3*v**3 + 4*v + 47. Determine -5*r(z) + 2*u(z).
z**3 - 2*z - 26
Let f(t) = -t. Let u(k) = 14*k. Let r(d) = -9*d. Let v(y) = 8*r(y) + 5*u(y). Calculate -2*f(c) - v(c).
4*c
Let l(u) = -u**3 + u**2 + u. Let s(d) = 5*d**3 - 4*d**2 - 4*d - 2. Calculate -4*l(o) - s(o).
-o**3 + 2
Let z(c) be the first derivative of 13*c**4/4 - 4*c**3/3 + 5*c**2 - 7*c + 36. Let j(l) = -4*l**3 + l**2 - 3*l + 2. What is 7*j(m) + 2*z(m)?
-2*m**3 - m**2 - m
Let m(l) = -3*l**2 + 5*l - 11. Let a(g) = -2*g**2 + 4*g - 10. Let r(y) = -5*a(y) + 4*m(y). Let s(w) = 2*w**2 + w**2 - w**2 - 5. Give -5*r(o) - 6*s(o).
-2*o**2
Let x(h) = h**2 + 6 + 2 - 1 - 4. Let o(p) = 2*p**2 + 8. What is 3*o(j) - 8*x(j)?
-2*j**2
Let c(z) = -7*z + 1. Let h be 15/10 + (-3)/2. Let j(r) be the third derivative of 0 - 2*r**2 - 1/6*r**3 + h*r + 1/4*r**4. What is -4*c(k) - 5*j(k)?
-2*k + 1
Let i(n) = 1. Suppose 5*c - 7 = -22. Let m(r) = 7*r + 4. Let a(j) = -j - 1. Let h(x) = -6*a(x) - m(x). What is c*i(y) + 2*h(y)?
-2*y + 1
Let s(c) = -3*c**2 - 8*c + 12*c + 10*c. Let w(p) = -p**2 + 5*p. Suppose 0 = -5*z + x + 79, -52 = -0*z - 3*z - 4*x. Let q = -24 + z. What is q*w(o) + 3*s(o)?
-o**2 + 2*o
Let n be (2/1)/2*-1. Let w be -4 + 12/4*n. Let p(t) = 3*t - 1. Let f(u) be the first derivative of u**3/3 + 5*u**2 - 4*u + 1. What is w*p(k) + 2*f(k)?
2*k**2 - k - 1
Let b(f) = -2*f + 3. Let w(r) = 4*r + 7 + r - 15. Let d = 15 - 15. Suppose -4*s + j + 7 = 0, d*s = 5*s - 3*j. What is s*w(v) + 8*b(v)?
-v
Let t(o) = 18*o + 4. Let b(w) = -36*w - 9. Give 6*b(k) + 13*t(k).
18*k - 2
Let p(g) = g. Let t(r) = 6*r. Let x be 0 - -1 - 4/(-2). Let d be (-2)/(-3)*x/2. Suppose -5 - d = 3*u. What is u*t(j) + 11*p(j)?
-j
Let q(d) = -22*d**2 - 7*d - 7. Let i(h) = -22*h**2 - 6*h - 6. What is -7*i(j) + 6*q(j)?
22*j**2
Let m(a) = 7*a**2 - 5*a - 5. Let c(y) = 8*y**2 - 6*y - 4. Let x(z) = -3*c(z) + 4*m(z). Let w(t) = -t**2 + 1. Give 6*w(f) + x(f).
-2*f**2 - 2*f - 2
Let a(b) = b + 2. Let r(p) = -p - 1. Let i(n) = -2*a(n) - 4*r(n). Let z(y) = -4*y + 1. Determine -7*i(x) - 3*z(x).
-2*x - 3
Let j(h) = h**2 + 4*h + 4. Let l = 5 - 1. Let c(y) = 2*y**2 + 9*y + 9. Determine l*c(d) - 9*j(d).
-d**2
Let j(p) = 2*p - 4. Let l be (1 + -4)*(-22)/(-6). Let v = -15 - l. Let o(r) = -5*r + 11. Give v*o(q) - 11*j(q).
-2*q
Let q(z) = 3*z**3 + 3*z**2 + 6. Let b be ((-30)/(-35))/((-6)/(-28)). Let n(o) = -10*o**2 - 2*o**3 + 9*o**2 + o**3 - 2. What is b*q(l) + 11*n(l)?
l**3 + l**2 + 2
Let c(y) = -11*y + 17. Let d(n) = 2 + 9 - 3 - 5 - 2*n. Suppose 4 = 3*j - z - 103, -112 = -3*j + 2*z. Calculate j*d(v) - 6*c(v).
-2*v
Let c(o) = -13*o**3 + 3*o**2 + 5*o + 4. Let x(g) = -13*g**3 + 2*g**2 + 4*g + 3. Give -4*c(p) + 5*x(p).
-13*p**3 - 2*p**2 - 1
Let o be 2*(1 - (-1)/2). Suppose -2*j = 4*h - o*j + 1, 5*h - j = 0. Let b(n) = -n**3 + n**2 - n. Let k(g) = -5*g**3 + 4*g**2 - 4*g - 2. What is h*k(r) - 4*b(r)?
-r**3 - 2
Let a(v) = 2*v**2 - 2. Suppose -5*j - u = -15, -u = 4*j + 4 - 17. Let i(y) = -1. Determine j*i(o) - a(o).
-2*o**2
Suppose -4*b + 4 = -3*b. Let t(u) = -5*u**3 - 5*u**2 - 11*u. Let k(z) = -2*z**3 - 2*z**2 - 5*z. What is b*t(o) - 9*k(o)?
-2*o**3 - 2*o**2 + o
Let g(t) = 40*t - 3. Let v(w) = 20*w - 1. Give 3*g(i) - 7*v(i).
-20*i - 2
Suppose 2*m + 3*m = 0. Let f(g) = 2 + m - 2 + 2*g + 1. Let u(y) = -2 - y + 4*y + 4. Calculate -4*f(c) + 3*u(c).
c + 2
Suppose 9*q = 5*q + 20. Let i(u) = 8*u**2 - 5*u - 5. Let o(x) be the first derivative of -7*x**3/3 + 2*x**2 + 4*x - 3. What is q*o(m) + 4*i(m)?
-3*m**2
Let x(g) = g - 2. Let o = -17 + 24. Let j(l) = -8*l - 3. Let y(n) = 23*n + 8. Let k(r) = 17*j(r) + 6*y(r). Let h = 6 - 10. Determine h*k(t) + o*x(t).
-t - 2
Let k(n) be the third derivative of n**5/15 - n**4/8 + 3*n**2. Let l(p) = p**2 - p - 3 + 3. Determine -k(q) + 3*l(q).
-q**2
Let t(s) = s**3 + 4*s. Let r(z) = -3*z + 1. Determine 4*r(l) + 3*t(l).
3*l**3 + 4
Let m(p) = -p**3 - p**2 - p. Let i(c) = 4*c**3 + 3*c**2 + 6*c. Suppose -a = 3*s + 1 + 1, a + 3 = -2*s. Calculate s*i(z) + 3*m(z).
z**3 + 3*z
Let f(v) = v. Let c(r) = 2*r - 3*r + 4 + 0*r. Let o be c(7). Let q(s) = -4*s + 18 - 39 + 23. Determine o*f(i) - q(i).
i - 2
Suppose 4*j = 2*j - 2. Let r(n) = -n**2 - 4*n + 1. Let d(b) be the first derivative of -b**2/2 - 4. What is j*r(h) + 6*d(h)?
h**2 - 2*h - 1
Let n(a) = -3*a**2 - 15*a. Let s be 1 - 4 - (2*15)/(-3). Let y(l) = l**2 + 7*l. What is s*y(u) + 3*n(u)?
-2*u**2 + 4*u
Let k(g) = -7*g**3 - g**2 + 6*g**3 - 1 + 1 + 1 - g. Let p(v) = 4*v**3 + 2*v**2 + 2*v - 4. Suppose -7 = -4*x - 3. What is x*p(u) + 2*k(u)?
2*u**3 - 2
Let w(a) = -a**3 + 5*a**2 - 23*a - 6. Let n(b) = b**3 - 6*b**2 + 24*b + 7. Calculate 5*n(t) + 6*w(t).
-t**3 - 18*t - 1
Suppose -g - 2 = -4. Let k be (2/3)/(g/15). Let s(l) = 1. Let u(z) = -10*z + 4 - 2*z - 3*z + 16*z. What is k*s(o) - u(o)?
-o + 1
Let l(z) = -13*z**2 + 4*z - 10*z**2 + 18*z**2 - 4. Let c(m) = -70*m**2 + 55*m - 55. Determine 4*c(i) - 55*l(i).
-5*i**2
Let j = -3 - -6. Suppose -2*n + 5*n - j = -g, -2*n - 8 = -g. Let i be g/4*(-6)/9. Let b(o) = -o**2 - o. Let h(f) = 5*f**2 + 8*f + 1. Give i*h(s) - 6*b(s).
s**2 - 2*s - 1
Let o be ((-2)/2 - 1)/2. Suppose -5*c + 19 = 4*r, 3*r - 6 = 2*c - 3*c. Let t(u) = c*u - u + 1 + 0*u - u. Let g(z) = -3*z - 4. Determine o*g(x) - 4*t(x).
-x
Let l(v) = v**2 - 2*v + 17. Let u(z) = 2*z**2 - 5*z + 35. Give 5*l(f) - 2*u(f).
f**2 + 15
Suppose 42 = 4*r - 14. Let k(j) = -r*j - 7 - 6 - 10. Let i(x) = -8 + x - 4*x - 2*x. What is 17*i(y) - 6*k(y)?
-y + 2
Let w(m) = 26*m**2 + 6*m + 10. Let c(b) = 9*b**2 + 2*b + 3. Give -10*c(d) + 3*w(d).
-12*d**2 - 2*d
Let t(i) = 2*i - 2. Let x(o) be the second derivative of 2*o**3/3 - 3*o**2/2 + 7*o. Calculate -5*t(y) + 3*x(y).
2*y + 1
Let g(i) = -3*i + 3. Let f(l) = l + 1. What is 4*f(d) - g(d)?
7*d + 1
Let c(s) = -1. Let p(l) = -7 + 2*l**3 + 5*l**3 - 4*l**3. Determine 6*c(q) - p(q).
-3*q**3 + 1
Let c(s) = -s**2 - 3*s. Let b(f) = 21*f + 0 + 0 - 23*f. What is -3*b(d) + 2*c(d)?
-2*d**2
Let b(r) be the third derivative of -r**3/6 + r**2. Let c be 1/(-3)*(1 - 4). Let w(x) = -x. Give c*w(d) - b(d).
-d + 1
Let n(d) = -2*d + 1 + 0 + 8. Suppose 2*m - 30 = -36. Let z(s) = -s + 4. Calculate m*n(b) + 7*z(b).
-b + 1
Let p(k) = -8*k**2 - 9*k + 2. Let y(h) = 12*h**2 + 13*h - 3. What is -8*p(m) - 5*y(m)?
4*m**2 + 7*m - 1
Let c(m) = -4*m + 2. Let y(r) = 2*r + 4*r - 13 + 8*r - 1. Let z(q) = 5*q - 5. Let p(g) = 4*y(g) - 11*z(g). Calculate 2*c(i) + 6*p(i).
-2*i - 2
Let v(w) = -1. Let q(d) = 2*d + 17. What is -q(x) - 2*v(x)?
-2*x - 15
Let u(h) = -2*h**2 + 3*h + 3. Let n(k) = -6*k**2 + 9*k + 8. Give -4*n(w) + 11*u(w).
2*w**2 - 3*w + 1
Let n(k) = -3*k**3 + 2*k**2 - 2*k + 2. Let y(r) = 50*r**3 - 35*r**2 + 35*r - 35. Let g be 9/(-3)*175/15. Calculate g*n(z) - 2*y(z).
5*z**3
Let q(j) = -21*j**3 + 4*j - 4. Let t(v) = 105*v**3 - 21*v + 21. Determine 21*q(y) + 4*t(y).
-21*y**3
Let j(t) = -7*t**2 + 4*t - 3. Let v(n) = -n**2 - 12*n - 13. Let l be v(-11). Let q(y) = 6*y**2 - 3*y + 2. Calculate l*j(o) - 3*q(o).
-4*o**2 + o
Let p(v) = -7*v - 9. Let b = -108 - -110. Let i(u) = -3*u - 4. Determine b*p(a) - 5*i(a).
a + 2
Let s(z) = 8*z + 1. Let j(q) = -q - 1. Give -3*j(t) - s(t).
-5*t + 2
Let b(n) be the third derivative of n**4/24 - n**3/2 - 5*n**2. Let y(o) = 1. Calculate b(u) + 3*y(u).
u
Let q(c) = -5 - 2 + 6*c + 2. Let t(w) = 7*w - 6. Give -6*q(m) + 5*t(m).
-m
Let w(f) = f**2 + 2*f + 1. Let z(y) = 3*y**2 + 5*y + 2. Let j be (2/3)/(20/(-150)). What is j*w(g) + 2*z(g)?
g**2 - 1
Let n(p) = p**2 - p. Let o(b) be the first derivative of 4*b**3/3 - 2*b**2 - 2. Calculate -7*n(i) + 2*o(i).
i**2 - i
Let c(d) = -61*d - 16. Let w(m) = 12*m + 3. What is 2*c(s) + 11*w(s)?
10*s + 1
Let c be 6/9 + (-32)/(
|
{
"pile_set_name": "DM Mathematics"
}
|
.
645*a**2
Collect the terms in -13*b - 16*b - 17*b + 63*b - 14 - 16*b.
b - 14
Collect the terms in -22*l + 36*l - 6 + 0*l - 9*l.
5*l - 6
Collect the terms in 735*r**2 + 741*r**2 + 12 - 1472*r**2.
4*r**2 + 12
Collect the terms in 17 - 17 + 3518*u.
3518*u
Collect the terms in -94*u + 413*u - 116 - 2*u**2 + 116.
-2*u**2 + 319*u
Collect the terms in 727*z**2 - 701*z**2 - 3 + 0 + 3.
26*z**2
Collect the terms in 92*w + 13*w**3 - 92*w + 3*w**2.
13*w**3 + 3*w**2
Collect the terms in 9268996 - 9268996 - 2*z**2.
-2*z**2
Collect the terms in 240*y**3 - 466*y**3 + 220*y**3.
-6*y**3
Collect the terms in 40*u**2 - 49619*u + 49619*u.
40*u**2
Collect the terms in -616*u - 59*u**2 + 206*u + 207*u + 203*u.
-59*u**2
Collect the terms in s**3 + 31*s**2 + 88*s**2 - 119*s**2 + 5*s.
s**3 + 5*s
Collect the terms in -19*w + 64*w - 2*w**2 + 10 - 3*w - 19*w - 23*w.
-2*w**2 + 10
Collect the terms in -21*v + 36*v**2 + 35*v**3 - 2*v**3 - 36*v**2.
33*v**3 - 21*v
Collect the terms in 3*m**2 + 1279239936 - 1279239936.
3*m**2
Collect the terms in 5 + 96*r**3 + 1 - 6.
96*r**3
Collect the terms in 2*u - 1825*u**2 - 2*u + 1824*u**2.
-u**2
Collect the terms in 37*v**2 - 88*v**2 + 43*v**2 + 35*v**2.
27*v**2
Collect the terms in -292*f + 908*f - 296*f + 93*f**2 - 320*f.
93*f**2
Collect the terms in -850*h**2 + 480*h**2 + 372*h**2.
2*h**2
Collect the terms in 7363690 - 7363690 - 3*y.
-3*y
Collect the terms in -277 + 277 + 23*j**2.
23*j**2
Collect the terms in 29 + 4 + 0*c - 26 + 2*c + 51.
2*c + 58
Collect the terms in 61*s**2 + 63*s**2 + 65*s**2 - 248*s**2 + 61*s**2.
2*s**2
Collect the terms in -21*s**3 + s**3 + 0*s + 24*s**3 + 0*s.
4*s**3
Collect the terms in 19949*p + 19871*p - 39819*p.
p
Collect the terms in 206*x + 41849 - 41849.
206*x
Collect the terms in 4*a + 187 - 187 - 7*a.
-3*a
Collect the terms in 10*k + 3*k + 2*k + 2*k + 16 + 5*k.
22*k + 16
Collect the terms in -4*t + 32 - 14 + 36*t.
32*t + 18
Collect the terms in 91*w**2 - 208*w**2 + 105*w**2 - 16.
-12*w**2 - 16
Collect the terms in 66 - 93964*v + 93965*v + 42.
v + 108
Collect the terms in 141 + 98*b - 143 + 60*b.
158*b - 2
Collect the terms in 5829782*v**2 - 5829780*v**2 + 3*v - 3*v.
2*v**2
Collect the terms in 584*t**3 - 1250*t**3 + 704*t**3.
38*t**3
Collect the terms in -149*n**3 + 405*n**3 - 132*n**3 - 140*n**3.
-16*n**3
Collect the terms in -94406*a + 188814*a - 94356*a.
52*a
Collect the terms in -19*g**2 + 39*g**2 - 1 + 0 + 1 - 11*g**2.
9*g**2
Collect the terms in n**3 - 43*n**3 + 41*n**3 + 5*n**2.
-n**3 + 5*n**2
Collect the terms in -318*f**2 + 95*f - 95*f - 498*f**2.
-816*f**2
Collect the terms in 5*q**2 - 7*q**3 - 11*q**3 - 5*q**2 + 7*q**2.
-18*q**3 + 7*q**2
Collect the terms in -180*r**2 - r - 133*r**2 + 102*r**2.
-211*r**2 - r
Collect the terms in -41*m**2 + 172*m**2 - 160*m**2 - 426*m**2 - 473*m**2.
-928*m**2
Collect the terms in -71*n**2 + 65*n**2 - 19*n + 19*n.
-6*n**2
Collect the terms in -146*c + c**3 + 72*c + 67*c + 7*c**3.
8*c**3 - 7*c
Collect the terms in 160*s**2 - 53*s**2 - 47*s**2 - 56*s**2 - 34*s**2.
-30*s**2
Collect the terms in 38072*q**2 + 1 + 0 - 1.
38072*q**2
Collect the terms in -3*i**3 - 76*i**3 + 0*i**3.
-79*i**3
Collect the terms in -33*m**3 + 12744201*m**2 - 12744201*m**2.
-33*m**3
Collect the terms in -14 + 8 - 935*u**3 + 6.
-935*u**3
Collect the terms in 92*i - 5*i**3 - i**3 - 52*i + i**3.
-5*i**3 + 40*i
Collect the terms in 3231*d**2 - 4825*d**2 - 73313*d**2.
-74907*d**2
Collect the terms in -3434*v**2 + 262*v**2 + 503*v**2.
-2669*v**2
Collect the terms in -426 - 423 + 56*u + 849 - 6*u.
50*u
Collect the terms in 6*f**2 + 4*f**2 + 24813 - 5*f**2.
5*f**2 + 24813
Collect the terms in 32*a + 5*a + 7*a + 53*a.
97*a
Collect the terms in -442*h**2 + 107*h**2 + 109*h**2 + 107*h**2 + 96*h**2.
-23*h**2
Collect the terms in -17 + 3 + 6 - 10*l + 9 - 53*l.
-63*l + 1
Collect the terms in -14*a**3 - 12*a**3 - 17*a**3 + 13*a**3.
-30*a**3
Collect the terms in -3*g + 2*g - 4*g**3 + 0*g**3 + 18642 + g**3.
-3*g**3 - g + 18642
Collect the terms in -6225*p**2 + 6*p - 6223*p**2 + 12445*p**2.
-3*p**2 + 6*p
Collect the terms in -g**2 - 3*g + 11*g**2 - 8*g**2 + 11*g**2.
13*g**2 - 3*g
Collect the terms in -26*u - 6*u + 59*u - 220 + 220 - 14*u.
13*u
Collect the terms in 570*u + 575*u + 154*u**2 - 1145*u + 3*u**2.
157*u**2
Collect the terms in 76*r + 49*r - 100*r - 24*r.
r
Collect the terms in 109*w - 79*w - 32*w.
-2*w
Collect the terms in -617*p**3 + 1280*p**3 - 625*p**3.
38*p**3
Collect the terms in -56*h - 2703439 + 2703439.
-56*h
Collect the terms in 33780*s - 16912*s - 16870*s.
-2*s
Collect the terms in -410639*j**2 + 205310*j**2 + 205331*j**2.
2*j**2
Collect the terms in 1175 - 300 - b - 293 - 293 - 293.
-b - 4
Collect the terms in 3*a**3 - 11*a**2 - 11*a**3 - a**3.
-9*a**3 - 11*a**2
Collect the terms in 31*c**3 - 71*c**3 + 32*c**3 + 6*c**3 + 24*c**3.
22*c**3
Collect the terms in -4 - 8*c**2 + 8734*c - 8734*c + 4 + 2*c**2.
-6*c**2
Collect the terms in -124*x**2 - 133*x**2 - 43 - 125*x**2 + 384*x**2.
2*x**2 - 43
Collect the terms in -98*b + 49*b + 50*b + 66 - 86.
b - 20
Collect the terms in -4 - 4 - 4*f**2 - 2*f**2 - 45*f**3 + 3.
-45*f**3 - 6*f**2 - 5
Collect the terms in 463*c - 1 + 457*c - 917*c.
3*c - 1
Collect the terms in -1332 - 6*h**2 + 649 + 6*h**2 + 6*h**3 + 683.
6*h**3
Collect the terms in -338*o - 1563*o**3 + 1571*o**3 + 338*o.
8*o**3
Collect the terms in -2402*m - 127*m**2 + 2402*m.
-127*m**2
Collect the terms in 311*b + 23328 - 23328.
311*b
Collect the terms in 596*r**3 + 597*r**3 - 2387*r**3 + 593*r**3 + 596*r**3.
-5*r**3
Collect the terms in -25311*y**2 - 9*y + 8*y + 25288*y**2.
-23*y**2 - y
Collect the terms in -38*v + 987 - 987.
-38*v
Collect the terms in 8*y**3 - 52*y**3 - 21*y**3.
-65*y**3
Collect the terms in -l - 894*l**2 + 585*l**2 - 784*l**2 + l.
-1093*l**2
Collect the terms in -2392 + 4785 - 2393 - 10*g**3.
-10*g**3
Collect the terms in 78*h**3 - 10*h**2 + 10*h**2 + 248*h**3 + 306*h**3.
632*h**3
Collect the terms in -1268*y**3 + 905*y**3 + 386*y**3.
23*y**3
Collect the terms in -172*h + 124*h - 127*h.
-175*h
Collect the terms in -140290*w**3 + 280576*w**3 - 12 - 140288*w**3.
-2*w**3 - 12
Collect the terms in -3 - 126192*w + 12814*w + 3.
-113378*w
Collect the terms in -5087*v**2 + 2243*v**2 + 2853*v**2.
9*v**2
Collect the terms in -119*c**3 - 156*c**3 - 5 - 1364*c**3 + 6 - c**2.
-1639*c**3 - c**2 + 1
Collect the terms in -3162*g - 2 - 6 + 8 + 3144*g.
-18*g
Collect the terms in -16*g - 25*g - 23*g + 118*g - 23*g - 20*g.
11*g
Collect the terms in 703*a - 703*a + 604*a**3.
604*a**3
Collect the terms in 4796*n + 23*n**3 - 4796*n.
23*n**3
Collect the terms in -6483 + 6483 + 46*r**2 + 26*r**2.
72*r**2
Collect the terms in 70*k**3 - 218*k**3 + 147*k**3.
-k**3
Collect the terms in 26*z**3 + 940 - 940 + 154*z**3.
180*z**3
Collect the terms in -13*u**2 + 8*u - 7*u**2 - 4*u**2 + 28*u**2 - 12*u**2.
-8*u**2 + 8*u
Collect the terms in 3*c - 9*c + 6*c - 62*c**2.
-62*c**2
Collect the terms in -4240*v**2 + 1421*v**2 + 1414*v**2 + 1406*v**2.
v**2
Collect the terms in -6*b**3 + 23*b**3 + 37*b**3.
54*b**3
Collect the terms in 11*s**3 + 29*s - 8*s - 13*s - 48*s**3.
-37*s**3 + 8*s
Collect the terms in -f + 168*f**2 + 123*f**2 - 335 + 335.
291*f**2 - f
Collect the terms in 5*m - 16*m - 23*m + 24*m.
-10*m
Collect the terms in 24*g + 374*g**3 - 368*g**3 + 11*g.
6*g**3 + 35*g
Collect the terms in 995*v**3 + 9372153*v - 9372153*v.
995*v**3
Collect the terms in 27*c**2 + 88*c**2 - 33*c**2 + 2*c + 20*c**2.
102*c**2 + 2*c
Collect the terms in -4*m + 0*m**2 + 11*m - 3*m**2 + 11*m.
-3*m**2 + 18*m
Collect the terms in -5*h - 44153 + 14720 + 14712 + 14721.
-5*h
Collect the terms in 91 - 52 - 49 + 6*w.
6*w - 10
Collect the terms in -206*q + 628*q - 213*q - 213*q.
-4*q
Collect the terms in -1214*i + 589*i - 4 + 630*i.
5*i - 4
Collect the terms in -77*f + 1 - 128*f - 60*f - 116*f + 281*f.
-100*f + 1
Collect the terms in 12 - 12 + 33768*a - 33767*a.
a
Collect the terms in 2*i**2 - 8 - 55 + 71 - 8.
2*i**2
Collect the terms in -205*o - 230*o - 297*o - 144*o + 661*o.
-215*o
Collect the terms in 130 + 125 + 124 - 380 + 47*s.
47*s - 1
Collect the terms in 1317*q + 1677*q - 1090*q.
1904*q
Collect the terms in 29 - 424*m**2 - 18 - 11.
-424*m**2
Collect the terms in -3035*u + 1018*u + 1013*u + 1004*u + 20*u**2.
20*u**2
Collec
|
{
"pile_set_name": "DM Mathematics"
}
|
= 23.34 + -21.6. Let x = -2.004 + 0.337. Let a = x + y. What is a rounded to 2 dps?
0.07
Let z be (-40050)/7*(-588)/9. What is z rounded to the nearest 10000?
370000
Suppose -2*a = -3*a + 2. Suppose n + a = 7. Let q(u) = 12*u**2 - 12*u. Let h be q(n). What is h rounded to the nearest 100?
200
Let w = -391561.99 - -408549.5. Let x = w + -17075. Let h = x - -88. What is h rounded to one dp?
0.5
Let p = -8509 + 4895. Round p to the nearest one thousand.
-4000
Let x = 0.001 - 28.001. Let d = 597.2037102 - 625.20371. Let l = x - d. What is l rounded to seven dps?
-0.0000002
Let s = -74 - -138. Let a = s + -64.00044. Round a to 4 dps.
-0.0004
Let d = -102.25 + 104. Let a = -2 + d. What is a rounded to two dps?
-0.25
Let m = -10.7 - -12. Let d = 2.1 + -3.9. Let j = d + m. What is j rounded to one decimal place?
-0.5
Suppose -7*f + 6 = -1. Let q be (-113 - -1)*f*500. Round q to the nearest ten thousand.
-60000
Let n = -31 - -115. Let h = -415.6 - -508. Let w = n - h. Round w to 0 dps.
-8
Let k = -3.66 + 57.16. Round k to the nearest 10.
50
Let r = -45.1 + -9.9. Let a = r + 54.99971. Round a to four decimal places.
-0.0003
Let y = -972 + 1089.3. Round y to the nearest integer.
117
Let k = -52.585 + -0.715. Round k to the nearest integer.
-53
Let n = -0.08 - 0.29. Let y = n + -4.03. Round y to the nearest integer.
-4
Suppose 3*y = 2*l - 5246015, -4*y = -5*l + 3*l + 5246020. Round l to the nearest 100000.
2600000
Let t = 7366.1 - 7366.141999872. Let k = t + 0.042. What is k rounded to 7 dps?
0.0000001
Let o = -18.8 + 18. Let h = o + 1. Round h to the nearest integer.
0
Suppose 5*w = 2*x - x + 132000083, -x = 3. Suppose -5*p = -p - 4*b - w, -p + 6599984 = 4*b. What is p rounded to the nearest 1000000?
7000000
Suppose 0 = -35*z + 54*z - 716300. Round z to the nearest 1000.
38000
Let z = 373.92 - 371. Round z to one dp.
2.9
Let n = -91427.90024 - -91431. Let p = n + -3.1. What is p rounded to four dps?
-0.0002
Let p = 27.69999899 - 27.7. Round p to six dps.
-0.000001
Let x = -155 + 154.766. Round x to 1 decimal place.
-0.2
Let d = -34.042 + 0.342. Let n = d - -32. Let r = n + 1.70000004. What is r rounded to 7 decimal places?
0
Let c = 219.475 - 0.475. Let s = 3379692 - 3379910.9889. Let u = c + s. What is u rounded to three dps?
0.011
Let b = 1380.76 + -1256.5. Let c = b - 122. Round c to the nearest integer.
2
Let j = -148.8 + -12.2. Let t = 161.0000505 + j. Round t to six dps.
0.000051
Let f = -177.525 + 0.325. Round f to the nearest ten.
-180
Let l = 58.958 - 59. Let u = 0.04200078 + l. Round u to 7 decimal places.
0.0000008
Suppose 0 = 5*c - 1000 + 85. Let y = c - 79. Let f = 7 - y. What is f rounded to the nearest ten?
-100
Let o = 63.015 + -63. Let k = -0.012 + o. Round k to two dps.
0
Let n = 1229 - 1229.000001658. Round n to 7 decimal places.
-0.0000017
Suppose -2 = 4*h + 2*r - 20, -4*r + 24 = 5*h. Suppose -h*c + 2*x = -5568, c - 735 - 675 = 5*x. Round c to the nearest 100.
1400
Let j be 3 - 547753*(-4)/2. Let v(f) = j*f + 2037517*f + 0 + 366972*f - 6. Let s be v(-3). Round s to the nearest 1000000.
-11000000
Let b = -400.8 + 400.81969. What is b rounded to three dps?
0.02
Let i = 11.9 + -18.72. Let g = 58 + -57.22. Let x = g - i. What is x rounded to the nearest integer?
8
Let a = 7507812.9999968 + -7507803. Let x = 10 - a. What is x rounded to 6 decimal places?
0.000003
Let z = -1269.51 - -1264. What is z rounded to 0 dps?
-6
Let r = 922 + 553. Suppose -r - 605 = -8*l. Round l to the nearest 100.
300
Let w = -96 - -66. Let j = w + 29.7. Let i = j - -0.299. What is i rounded to 2 dps?
0
Let t = -1511432 - -862718. Let s(b) = 2058715*b**3 + b**2 + 2*b + 2. Let p be s(-1). Let q = t - p. Round q to the nearest one hundred thousand.
1400000
Let r = 0.1024 - 1.9554. What is r rounded to 1 decimal place?
-1.9
Suppose 49905 = 39*a - 259365. What is a rounded to the nearest 1000?
8000
Let o = 0.1 + -0.07. Let c = o + 0.02. Let n = 0.0500005 - c. Round n to seven decimal places.
0.0000005
Let b = 3125 + -3124.99997819. Round b to 5 dps.
0.00002
Let j = 0.0503 + 0.0798. Let l = 0.4209 + j. What is l rounded to 1 dp?
0.6
Let d(b) = -311038*b**2 - 3*b + 1. Let s be d(-3). Let w = 4629332 + s. Round w to the nearest one hundred thousand.
1800000
Let j = -0.3581 - -0.1824. Round j to two decimal places.
-0.18
Let i = -43 - -276.3. Round i to the nearest 10.
230
Let z = 141080.61 + -140138. Let g = -850.487 + z. Let t = g - 92. Round t to two decimal places.
0.12
Suppose -j - 2*j = 3. Let u be j*(-2 - -4 - 14). Round u to the nearest 10.
10
Suppose -87 = -h + 393. Suppose 7*n - h = 3*n. Let i be 3250*6/9*n. Round i to the nearest 100000.
300000
Suppose -98*n = -62*n - 1512. Suppose 7*i - 185 = 2*i. Suppose 0 = i*q - n*q - 2200000. Round q to the nearest one hundred thousand.
-400000
Let a = 77 - 81. Let o = 24.632 + -20.6. Let j = o + a. Round j to 2 dps.
0.03
Let u = -0.8 - -0.9. Let i = 5.1 - u. Let y = 4.9999901 - i. What is y rounded to six dps?
-0.00001
Let o = -0.036 + -14.464. Let p = o - -14.49705. What is p rounded to four decimal places?
-0.003
Let q be (-54)/27*(-1 + -8224). Round q to the nearest 1000.
16000
Let k = 77 - 75.787. Round k to 2 decimal places.
1.21
Let a = -2467 - -2466.999998449. What is a rounded to seven decimal places?
-0.0000016
Let q = -66528021 - 37871979. What is q rounded to the nearest one million?
-104000000
Let r = 212.5 + 490. Round r to the nearest 100.
700
Let i = 13990958.999612 - 13990999. Let f = i - -40. What is f rounded to 5 decimal places?
-0.00039
Let w(j) be the second derivative of j**5/24 + j**4/3 + 5*j**3/6 + 4*j. Let n(t) be the second derivative of w(t). Let q be n(-8). Round q to the nearest ten.
-30
Let g be 0 - (441875/3)/(12/(-6912)). Suppose -14*v + 2*v = g. What is v rounded to the nearest 1000000?
-7000000
Let s = -4608 - -8108. Round s to the nearest 10000.
0
Let z be ((-16)/40)/(2/(-10)). Suppose -w + 60 = z*w. Suppose -3*o - 2*o - 3*q - 3249988 = 0, 0 = -5*q + w. What is o rounded to the nearest 100000?
-700000
Let n = 8569011559 + -12573734333. Let h = n - -4004722724.00000054. Let b = 50 + h. Round b to seven decimal places.
0.0000005
Let c = 53985 - 54116.9496. Let i = c + 105.94962. Let r = 26 + i. Round r to five dps.
0.00002
Let h = -2583 - -438. Let g = -2134.99 - h. Let j = g - -0.19. Round j to 0 dps.
10
Let f = 1.2 - -14.8. Let w = 16.15 - f. Let y = 0.32 - w. Round y to one decimal place.
0.2
Let h = -8 + 7.72. Let f = -29.28 - h. Let q = f - -29.0135. What is q rounded to 3 decimal places?
0.014
Let y = -69.02 + 68. Let h = -1.0200204 - y. What is h rounded to 6 dps?
-0.00002
Let a(w) = -3*w**3 + 13*w**2 - w - 6. Let l be a(13). Let d = l - -11454. Suppose -2*q = d + 260959. Round q to the nearest 10000.
-130000
Let p be (9/36)/(1/(-4)). Let d be 2*10*p + -1. Let v be 120/(-7)*d/2. What is v rounded to the nearest 100?
200
Let w = 0.99 - -3.31. Let z = w - 4.2999739. What is z rounded to 5 decimal places?
0.00003
Let p = 32 + -25. Suppose 26*l = p*l + 494000. Round l to the nearest ten thousand.
30000
Let f = -1335 + 1334.9984896. What is f rounded to four decimal places?
-0.0015
Suppose -93*l - 4748000 = -95*l. Round l to the nearest 100000.
2400000
Let t = 631123586279807 + -631123593262061.44000066. Let u = -6982287.44 - t. Let b = -33 - u. What is b rounded to seven decimal places?
-0.0000007
Let p = -721 - -721.0002865. What is p rounded to 5 decimal places?
0.00029
Let v = -17.97 + 18. Let m = 0.11 - v. What is m rounded to 1 dp?
0.1
Let d = 20 + 2. Let b = -21.99977 + d. Round b to four dps.
0.0002
Let b = 124.6 - -67.9. Round b to the nearest ten.
190
Let s be 3 - 5 - (-3 - 1). Suppose -s*i - 5880000 = i. Round i to the nearest one hundred thousand.
-2000000
Let q = -129 - -128.842. Let j = 68.158 + q. Let n = j + -67.999957. What is n rounded to 5 dps?
0.00004
Let j = -71.8133 - -71.46. What is j rounded to 2 decimal places?
-0.35
Let s = -6.761 + 6.8. Let x = s - 0. Let i = x + -0.0389973. Round i to seven decimal places.
0.0000027
Suppose 0 = 5*k - 3*d + d - 38, -5*k = d - 26. Suppose -k + 5 = -b. Let f be (-150005 - (-4)/1) + b. What is f rounded to the nearest 100000?
-200000
Let b = 150393 + -150244.0216. Let a = -149 + b. Round a to three dps.
-0.022
Let t = -604.3
|
{
"pile_set_name": "DM Mathematics"
}
|
483.
-1/1483
5 divided by 3665
1/733
Calculate 1271 divided by -6.
-1271/6
Divide -756 by 2.
-378
What is 899 divided by -2?
-899/2
Divide -1021 by -3.
1021/3
Calculate -18 divided by -1.
18
-6 divided by 895
-6/895
Divide 74 by -32.
-37/16
Divide -32605 by -5.
6521
Divide 0 by -83.
0
Calculate -6 divided by 23.
-6/23
-25097 divided by -3
25097/3
Divide -28920 by 6.
-4820
What is -2 divided by 1?
-2
What is -35 divided by -38?
35/38
Divide 12690 by 18.
705
Divide -2320 by 4.
-580
Calculate -9 divided by 12.
-3/4
323 divided by -4
-323/4
844 divided by 4
211
What is 468 divided by -52?
-9
What is 25 divided by -244?
-25/244
Divide 49 by -7.
-7
Divide 75870 by 3.
25290
Calculate 1452 divided by 44.
33
Divide -2 by 243.
-2/243
Divide 198 by -66.
-3
What is -131 divided by 1?
-131
What is -2 divided by 1092?
-1/546
Divide -14 by -8.
7/4
310 divided by -10
-31
What is 46 divided by -23?
-2
116 divided by 1
116
-58 divided by 1
-58
Divide -1657 by 4.
-1657/4
What is -4420 divided by -20?
221
Calculate 770 divided by -18.
-385/9
What is 197 divided by 1?
197
Divide 9492 by 226.
42
What is -370 divided by -1?
370
What is -4 divided by 89?
-4/89
What is -29 divided by -29?
1
1060 divided by 4
265
-10630 divided by -5
2126
6679 divided by 3
6679/3
What is -3593 divided by 4?
-3593/4
Divide 1098 by -5.
-1098/5
Calculate -284 divided by 4.
-71
Divide -82 by -6.
41/3
What is 2467 divided by 5?
2467/5
What is -1 divided by 551?
-1/551
-1771 divided by 3
-1771/3
-1560 divided by 5
-312
Divide 2968 by -53.
-56
What is 62 divided by 21?
62/21
Divide 0 by -655.
0
Calculate -12987 divided by 4329.
-3
Divide -7470 by -9.
830
What is 576 divided by 3?
192
Divide 0 by 12.
0
Divide -6321 by 1.
-6321
Calculate 1 divided by -54.
-1/54
105 divided by -21
-5
What is -275 divided by -6?
275/6
What is 26 divided by -2?
-13
What is 6 divided by 6?
1
Calculate 2334 divided by -3.
-778
Divide 348 by -174.
-2
What is -235 divided by -235?
1
-1991 divided by -181
11
Calculate 18 divided by 9.
2
Calculate 1425 divided by -285.
-5
217 divided by 22
217/22
What is -132 divided by 22?
-6
Calculate 5 divided by 5.
1
Calculate 162 divided by -6.
-27
2 divided by 1
2
Divide -663 by -3.
221
Calculate -5 divided by -18.
5/18
What is -3 divided by -2365?
3/2365
Calculate -133 divided by 133.
-1
What is -100 divided by -77?
100/77
-177 divided by -1
177
Divide -428 by 1.
-428
542 divided by -2
-271
Calculate -4180 divided by -836.
5
Divide -56 by 14.
-4
Divide 318 by -53.
-6
Calculate 31 divided by -73.
-31/73
Divide 66 by -3.
-22
Calculate 224 divided by 224.
1
-41 divided by 41
-1
-51 divided by -17
3
Calculate -51 divided by 9.
-17/3
-52 divided by -6
26/3
-9 divided by 15
-3/5
Calculate -5 divided by 39.
-5/39
121 divided by -12
-121/12
Divide -1 by 114.
-1/114
Divide 5 by 5870.
1/1174
Calculate 925 divided by 185.
5
Calculate 4 divided by 161.
4/161
What is 412 divided by 3?
412/3
10 divided by -1
-10
Divide -1216 by -304.
4
-305 divided by -3
305/3
What is -383 divided by 4?
-383/4
-82 divided by 82
-1
Calculate -12827 divided by 127.
-101
312 divided by -1
-312
What is -5 divided by 46?
-5/46
-7 divided by -119
1/17
What is -9062 divided by 6?
-4531/3
145 divided by 1
145
-43 divided by -35
43/35
What is -1648 divided by 2?
-824
What is -21303 divided by 2367?
-9
Calculate 7 divided by -5.
-7/5
What is 682 divided by 5?
682/5
Calculate -18 divided by -33.
6/11
What is -1 divided by 31?
-1/31
-123 divided by 3
-41
Calculate -162 divided by 1.
-162
What is -240 divided by 60?
-4
Divide -4 by 46.
-2/23
-37905 divided by -7581
5
What is -3 divided by 8254?
-3/8254
What is 97 divided by 1?
97
624 divided by -6
-104
What is 75 divided by -25?
-3
-596 divided by 149
-4
19 divided by 6
19/6
Divide -86 by -4.
43/2
Divide -36528 by 3.
-12176
Calculate -210 divided by -5.
42
21 divided by -7
-3
What is 0 divided by 2649?
0
What is -1120 divided by -3?
1120/3
Divide 125 by 118.
125/118
Calculate 2 divided by -16.
-1/8
-561 divided by -4
561/4
Calculate 12543 divided by 6.
4181/2
Divide -645 by 6.
-215/2
What is 18207 divided by -9?
-2023
Calculate 27 divided by -6.
-9/2
-3 divided by 420
-1/140
-348 divided by -6
58
What is 34784 divided by -1?
-34784
Divide 736 by 19.
736/19
Divide 196 by -49.
-4
Calculate 22 divided by -336.
-11/168
-4426 divided by 1
-4426
What is -192 divided by 6?
-32
What is 856 divided by 8?
107
Calculate -41 divided by -14.
41/14
-168 divided by 3
-56
Calculate -91 divided by 6.
-91/6
What is -1 divided by -462?
1/462
-12852 divided by 34
-378
Calculate 4776 divided by -1.
-4776
Calculate 27655 divided by -5.
-5531
-9 divided by 2750
-9/2750
-840 divided by -1
840
-390 divided by 5
-78
What is -1192 divided by -298?
4
What is 553 divided by -7?
-79
What is -16704 divided by 3?
-5568
Calculate -480 divided by -120.
4
-6896 divided by -4
1724
Calculate 48 divided by -16.
-3
Calculate -398 divided by 25.
-398/25
Calculate 18 divided by -1.
-18
608 divided by -608
-1
Divide -1 by 8.
-1/8
-510 divided by -3
170
Divide 1420 by 5.
284
Divide -113 by -85.
113/85
What is -5 divided by 50?
-1/10
Divide 3 by 1594.
3/1594
-11263 divided by -4
11263/4
Calculate 52450 divided by -5.
-10490
Divide 2291 by -6.
-2291/6
Calculate -5 divided by -73.
5/73
Calculate -3220 divided by 805.
-4
Divide 39 by 13.
3
-6 divided by 13
-6/13
78 divided by -82
-39/41
What is -4 divided by 87?
-4/87
Divide -282 by 3.
-94
Divide 28 by -422.
-14/211
Calculate -18288 divided by 3.
-6096
What is -4488 divided by 1496?
-3
-1 divided by 2266
-1/2266
What is -833 divided by 7?
-119
Divide -2 by -30.
1/15
6 divided by 173
6/173
276 divided by -3
-92
Calculate 9 divided by 1.
9
Calculate 258 divided by -2.
-129
5 divided by -14
-5/14
What is 12 divided by -635?
-12/635
Calculate 3302 divided by 13.
254
180 divided by -6
-30
What is -135 divided by -5?
27
What is 89 divided by 247?
89/247
What is -5215 divided by -2?
5215/2
-36 divided by 3
-12
Calculate 3 divided by -30.
-1/10
Calculate 3 divided by 1962.
1/654
Divide 0 by 74.
0
Divide -11187 by -3.
3729
23345 divided by -4669
-5
What is -238 divided by 11?
-238/11
0 divided by -3908
0
0 divided by 84
0
What is 3 divided by 730?
3/730
-456 divided by -6
76
Divide 138186 by 6.
23031
What is 36 divided by -6?
-6
Divide 19 by -6.
-19/6
Divide -5088 by -6.
848
Calculate 4 divided by -196.
-1/49
Divide 53046 by 6.
8841
What is 828 divided by 207?
4
Divide 0 by -1.
0
636 divided by 4
159
What is 120 divided by 60?
2
147 divided by 21
7
What is 510 divided by 170?
3
Divide 47 by -2.
-47/2
Calculate 1497 divided by 499.
3
217 divided by -5
-217/5
Calculate 4 divided by 70.
2/35
5 divided by 17
5/17
What is 282 divided by -5?
-282/5
582 divided by -291
-2
What is 39 divided by -51?
-13/17
What is -1870 divided by -5?
374
Calculate -18845 divided by -5.
3769
Divide -7826 by 7.
-1118
4744 divided by -1186
-4
Divide -1 by -236.
1/236
-285 divided by -33
95/11
Calculate -2 divided by 50.
-1/25
17376 divided by 6
2896
Calculate -5918 divided by -538.
11
-6705 divided by 745
-9
What is -718 divided by -6?
359/3
Calculate -1829 divided by -6.
1829/6
What is -6 divided by 335?
-6/335
-1 divided by -32
1/32
Divide 34 by -27.
-34/27
What is 1276 divided by 319?
4
7 divided by 78
7/78
-635 divided by -635
1
Calculate 3 divided by -3.
-1
What is -1076 divided by -6?
538/3
What is -11 divided by 52?
-11/52
What is 0 divided by -1544?
0
Calculate 3021 divided by -4.
-3021/4
1 divided by -21
-1/21
Divide -4 by -225.
4/225
Calculate 685 divided by -36.
-685/36
266 divided by -14
-19
Divide -7317 by 9.
-813
What is 45 divided by -15?
-3
2 divided by 194
1/97
What is 132 divided by 6?
22
Divide 101 by -3.
-101/3
What is -695 divided by 5?
-139
Calculate -33 divided by 1.
-33
Calculate 33740 divided by 5.
6748
-274 divided by -6
137/3
What is -1723 divided by 1?
-1723
What is 0 divided by -61?
0
Calculate 36 divided by -6.
-6
0 divided by 271
0
Calculate -5 divided by -3.
5/3
66 divided by 22
3
Divide -1130 by -2.
565
Divide -64 by -18.
32/9
-13 divided by -13
1
Divide -5 by 21.
-5/21
Calculate -1337 divided by -7.
191
What is -1 divided by -820?
1/820
-510 divided by -1
510
Divide -428 by 107.
-4
Divide 62 by -31.
-2
-158 divided by 1
-158
Calculate -8126 divided by -6.
4063/3
Wha
|
{
"pile_set_name": "DM Mathematics"
}
|
17 - -302.8. Round d to 3 decimal places.
0.03
Let y be ((-20)/4 + 4)/((-1)/1). Let t be (-1*1335)/((15/50000)/y). What is t rounded to the nearest one hundred thousand?
-4500000
Let f = 3156 - 2967.9. Let r = -198 + f. What is r rounded to 0 decimal places?
-10
Let s = 93979028.999971 + -93979092. Let f = s + 63. Round f to 5 decimal places.
-0.00003
Let p = 205 - 123. Let d = 998005351.9999882 - 998005434. Let n = d + p. Round n to 6 dps.
-0.000012
Suppose -5*c + 1 + 14 = 0. Suppose 4*l = -c*p + 14, -3*l + 4*p - 2 = -0*l. Let v be -13801 + (l - (3 + -2)). Round v to the nearest 1000.
-14000
Let b(k) = k**3 - 10*k**2 + 14*k + 6. Let u(o) = o**2 - 6*o + 7. Let h be u(6). Let x be b(h). What is x rounded to the nearest 10?
-40
Suppose 181*a - 178*a = -36000. What is a rounded to the nearest ten thousand?
-10000
Suppose 0 = 5*j - 4*j + 62510. Let q = j - -92510. Round q to the nearest 100000.
0
Let p = 0.0096057 - -81.9907143. Let w = p + -82. Round w to 4 decimal places.
0.0003
Suppose 0 = -3*u - 15*a + 11*a - 25919980, 5*u + 43199980 = -4*a. What is u rounded to the nearest one million?
-9000000
Let y = -3.362710654 - -21.078911024. Let s = y - -0.2837998. Let q = s + -18. Round q to seven decimal places.
0.0000002
Let c(p) = -23*p**3 - p. Let o be c(-1). Let r(n) = 2*n**3 + 38*n**2 - 5*n + 31. Let x be r(-19). Suppose o - x = -2*u. What is u rounded to the nearest 10?
50
Let x(u) = 1292*u**3 - 26*u**2 - 203*u + 9. Let z be x(-7). What is z rounded to the nearest ten thousand?
-440000
Let u(c) = c + 8. Let m be u(-8). Suppose m = 2*y + 907 - 3209. Suppose 4*a = -y - 1009. Round a to the nearest 100.
-500
Let k = -264.7 - 86.3. Let h = 350.99999841 + k. What is h rounded to seven dps?
-0.0000016
Let c(i) = 3*i**2 + 12*i - 7. Let d(s) = s**2 + 7*s + 3. Let w be d(-4). Let o be c(w). Let t = o - 28. What is t rounded to the nearest 10?
100
Suppose -3*k + y = -y, 3*k = -3*y. Suppose -5*v + p - 304 = k, 4*v + 252 = -0*v + 3*p. Round v to the nearest ten.
-60
Let w(c) = -c - 1. Let p = 29 - 30. Let l be w(p). Let a be l/(4 + -3) + -520000. Round a to the nearest 100000.
-500000
Let m = -52 + 29. Let a = m - -23.23. Let c = 0.59 - a. What is c rounded to one decimal place?
0.4
Let a = 246 - 238. Let j = -0.15883 - 7.82217. Let i = j + a. Round i to 2 decimal places.
0.02
Let o = -493 + 493.0009374. What is o rounded to 4 dps?
0.0009
Let c = 579 - 578.999996598. Round c to 6 dps.
0.000003
Let h be -1*2*(-8 + 2). Suppose 4*m = h*m + 4800. Round m to the nearest 1000.
-1000
Let i = -0.16800049 - -0.168. What is i rounded to 6 decimal places?
0
Let k = -18 + 21. Let b be (137/k)/((-3)/(-72)). Let t be 4 - (b/1)/4. What is t rounded to the nearest 100?
-300
Let u = 0.0294247 - 0.0294. What is u rounded to 5 decimal places?
0.00002
Suppose 13 = 3*q + 4. Suppose 3816 - 29004 = -q*a. Suppose 5*u + 3*n + 0*n + 42012 = 0, -n = -u - a. Round u to the nearest one thousand.
-8000
Let w = 1.4631 + -9.2061. Round w to 1 decimal place.
-7.7
Suppose 3*t = -5*q + 13185, -5*t + 6*q = q - 22015. Round t to the nearest 1000.
4000
Let k = -69.09 + 4.59. What is k rounded to the nearest 10?
-60
Let a = 1664898 + -304898. What is a rounded to the nearest 1000000?
1000000
Let a be (1312/6)/(99024/(-49500) - -2). Round a to the nearest 100000.
-500000
Let o = 1890094255.00000003 - 1890094276. Let u = -21 - o. What is u rounded to 7 decimal places?
0
Let k = 4.0055 - 4. Let x = 2.4645 + k. Let p = x + -2.6. Round p to two decimal places.
-0.13
Let t = -6.496 + -0.004. Let c = 6.5058 + t. What is c rounded to 4 dps?
0.0058
Let q = 248.891 + 0.109. Let y = 338.5 - q. Let p = y + -73. Round p to the nearest integer.
17
Suppose -x - 10 = m, m = -x + 3*m - 25. Let j be (-42821192)/(-5) + 6/x. Suppose j = -n - 1835762. What is n rounded to the nearest one million?
-10000000
Let g = -1013 - -1018.89. Let r = g - -0.11. Let i = r - 6.0003. What is i rounded to four dps?
-0.0003
Let l = 13.6 - 16.17. Let u = 2.569831 + l. What is u rounded to 5 decimal places?
-0.00017
Suppose -3*v = -3*y - 0*y + 390, 118 = y + 3*v. Suppose -3*o + y = -83. What is o rounded to the nearest ten?
70
Let b = -7551.2 - -8328. Round b to the nearest 100.
800
Let c = -1284.64387 - 0.25613. Let j = c - -1224. Round j to the nearest 10.
-60
Let q = -0.3392 + 29.3852. Let a = -376 - -405. Let v = q - a. Round v to 2 dps.
0.05
Let t = -17809.7 - -17809.826907. Let v = t + -0.127. Round v to 5 dps.
-0.00009
Let p = 90.8627 - 1.2527. Let b = 79.9 + -169.9. Let j = b + p. What is j rounded to 1 dp?
-0.4
Let d = 89 - 83.3. Let s = -12.71 + d. Round s to the nearest integer.
-7
Let m = -1975.00784 + 1975. What is m rounded to three dps?
-0.008
Let r = 39.7 - 39.6999614. What is r rounded to 5 dps?
0.00004
Let w = 1.280943 - -1470.658057. Let r = 1449 - w. Let f = 23 + r. Round f to two dps.
0.06
Suppose 2*l - 6*l + 225990 = 5*k, 3*k + 56506 = l. What is l rounded to the nearest 1000?
57000
Let a = -47.215 + 0.415. Let k = a + 38. Round k to the nearest integer.
-9
Let p(y) = 257000*y**2 + y + 10. Let z be p(-10). What is z rounded to the nearest 1000000?
26000000
Let v = 684 - 686.83. Let z = v + 2.7842. What is z rounded to 3 dps?
-0.046
Suppose 2*q - 22 = -3*n, 0*q - 4*q = -4*n - 4. Suppose 2*g = -4*y + 5*g - 4006, q*y - 3*g = -5006. Round y to the nearest 10000.
0
Let p = -214751.9982 - -214733. Let k = 0.42 - 19.42. Let m = p - k. Round m to three dps.
0.002
Let z = -0.107 + 5.107. Let q = 4.9862 - z. Round q to 3 decimal places.
-0.014
Let i be (-2)/4 + 4/8. Suppose 2*z - z + 100000 = i. What is z rounded to the nearest one million?
0
Let o = 1.2 - 1.1. Let s = o + -0.18. Let x = s - -0.080109. What is x rounded to five dps?
0.00011
Let y = -0.015737 - -0.0143. Round y to four decimal places.
-0.0014
Let o(s) = -s**2 + s. Let y(g) = 252004*g**2 - 12*g - 10. Let a(j) = 5*o(j) + y(j). Let q be a(-5). Round q to the nearest one million.
6000000
Let t = -102421.00024 + 102417. Let m = 4.9 - 0.9. Let v = t + m. What is v rounded to 4 decimal places?
-0.0002
Let m = -250886.069916 - -250835.07. Let o = 3.5 + -54.5. Let x = m - o. What is x rounded to five decimal places?
0.00008
Let y be (-1923 - 1)/((-268)/(-8710)). What is y rounded to the nearest ten thousand?
-60000
Let k = 2354.98 + -2309. Let r = -43 + k. Round r to 1 decimal place.
3
Let q = -1202 - -1202.000000511. Round q to seven decimal places.
0.0000005
Let u = -87718841.30000304 + 87718835. Let r = 6.3 + u. What is r rounded to seven dps?
-0.000003
Let w = -1496761410 + 1496761349.9999931. Let r = -42 - 18. Let f = r - w. Round f to 6 decimal places.
0.000007
Let d = -401 + 400.99999989. Round d to 6 dps.
0
Let o = 2244 + -2244.1399. Let n = 0.146 + o. What is n rounded to 3 decimal places?
0.006
Suppose 0 = b - 4*v - 2, -3*b - b = -4*v + 4. Let u be b/5 + 2/5. Suppose 2*q + 0*q + 246 = u. What is q rounded to the nearest ten?
-120
Let m be 5/(1/(-566240)*-8). What is m rounded to the nearest ten thousand?
350000
Suppose -3*t = -4 - 11. Suppose 2 = 4*s - y, -7*s - 2 = -3*s + y. Suppose t*h = -0*c - c + 3, s = -2*c - 5*h - 14. What is c rounded to the nearest ten?
-20
Let y = 146.8 - 146.81473. What is y rounded to 4 decimal places?
-0.0147
Let f = -19.58959 + 19.66. What is f rounded to 3 decimal places?
0.07
Let z(y) = -2*y**2 + 17*y + 12. Let a be z(9). Let v be (3 + 416/a)*-300*1000. Round v to the nearest 1000000.
-43000000
Let l = -0.1734 - -0.198. Let x = -0.02249 + l. Round x to 4 dps.
0.0021
Let m(u) = -u**3 - 7*u**2 + 8*u + 2. Suppose y - 2*y - 8 = 0. Let a be m(y). Suppose -3*v + 81 = r - 127, a*r = -4. Round v to the nearest one hundred.
100
Suppose 85*w = 78*w + 4760. What is w rounded to the nearest one hundred?
700
Let g = 2327 - 2328.139. What is g rounded to 1 decimal place?
-1.1
Suppose -8*o + 5*o = 3*z - 33222, -11058 = -z + 3*o. Round z to the nearest one hundred.
11100
Suppose 7 = -o + 18. Let z be (-112200004)/(-22) - 2/o. Suppose -2*a + z = -7*a. Round a to the nearest 100000.
-1000000
Let d be (-5 + (-114)/(-18))*3. Suppose d*y - y + 3429997 = -5*z, -3430005 = 5*z - 5*y. Round z to the nearest 100000.
-700000
Let b = 2027.195 - 2024. Round b to 1 decimal place.
3.2
Let j = -125 + 223.8. Round j to the nearest 10.
100
Let q(b) =
|
{
"pile_set_name": "DM Mathematics"
}
|
and 26583?
3
Calculate the highest common divisor of 34370 and 17038.
14
What is the highest common factor of 648 and 1940409?
27
Calculate the highest common divisor of 289029 and 13689.
39
What is the highest common factor of 53050 and 2775?
25
Calculate the highest common divisor of 3738992 and 80.
16
Calculate the highest common divisor of 316 and 27668.
4
What is the highest common divisor of 19065 and 1022335205?
6355
What is the highest common factor of 1880 and 300095?
235
Calculate the highest common factor of 56277176 and 8.
8
What is the highest common factor of 7504 and 12453424?
1072
Calculate the highest common divisor of 734282 and 382122.
142
Calculate the highest common factor of 623 and 23536851.
89
Calculate the highest common divisor of 3 and 177166791.
3
Calculate the greatest common factor of 3893478 and 430.
86
What is the greatest common divisor of 179 and 148815230?
179
Calculate the greatest common divisor of 53640 and 60840.
360
What is the greatest common factor of 6967716 and 345639?
2289
Calculate the greatest common divisor of 66 and 32501160.
6
What is the highest common factor of 379910 and 520?
10
Calculate the greatest common factor of 234481776 and 2412.
804
What is the highest common factor of 94975 and 40751873?
3799
Calculate the highest common divisor of 17982 and 1731600.
666
Calculate the greatest common divisor of 220177 and 471.
1
Calculate the greatest common divisor of 9311104 and 608.
32
What is the highest common factor of 417186 and 3865708?
1078
What is the greatest common factor of 25542 and 935154?
198
Calculate the highest common divisor of 819 and 2327962.
91
What is the highest common factor of 10974 and 241242?
186
Calculate the highest common factor of 109138510 and 6760.
1690
Calculate the highest common factor of 2336 and 143168.
32
Calculate the greatest common divisor of 9329331 and 33.
33
Calculate the highest common factor of 160 and 102152180.
20
Calculate the greatest common factor of 684789477 and 139.
139
Calculate the highest common factor of 33852 and 9738456.
1092
What is the highest common divisor of 521950 and 411866?
1898
Calculate the greatest common divisor of 8280067 and 610584.
1957
What is the highest common factor of 119 and 45021508?
119
What is the highest common divisor of 6236519 and 1031?
1031
Calculate the highest common factor of 11847708 and 4590.
918
Calculate the greatest common factor of 353421 and 11871.
9
Calculate the greatest common factor of 440585491 and 1461.
487
Calculate the highest common divisor of 2208 and 28878.
6
Calculate the highest common divisor of 398 and 18657842.
398
What is the highest common divisor of 89362 and 8593?
13
Calculate the highest common divisor of 4310 and 16353002.
862
What is the greatest common divisor of 23023 and 266777?
161
Calculate the greatest common factor of 36582 and 15806.
14
Calculate the highest common factor of 75997026 and 21714.
1974
What is the highest common factor of 160602 and 15?
3
What is the greatest common divisor of 4825486 and 214?
214
What is the greatest common factor of 192 and 865872?
48
What is the highest common factor of 3181116 and 1500?
12
Calculate the highest common divisor of 77 and 304894051.
77
Calculate the highest common factor of 76590852 and 312.
156
What is the highest common divisor of 142731637 and 853?
853
Calculate the greatest common factor of 18 and 13710798.
18
Calculate the highest common factor of 9422163 and 324.
81
Calculate the highest common divisor of 37 and 36299.
1
What is the highest common divisor of 4226 and 1173357352?
4226
Calculate the highest common divisor of 6468 and 5322372.
132
Calculate the highest common divisor of 15962 and 7079494.
694
Calculate the highest common factor of 20144264 and 88.
8
Calculate the highest common factor of 970541 and 73931.
1573
Calculate the highest common divisor of 2982 and 11516981.
497
What is the greatest common factor of 14014 and 3878056?
1274
What is the highest common divisor of 4842 and 50191634?
538
What is the highest common divisor of 121 and 33879010?
11
What is the highest common factor of 3021 and 15933761?
1007
What is the highest common divisor of 203502514 and 29424?
1226
What is the greatest common factor of 606 and 15086774?
202
What is the greatest common divisor of 7 and 42658063?
7
What is the greatest common factor of 112230 and 8335?
5
What is the greatest common factor of 9 and 4481766?
9
What is the greatest common divisor of 4875882 and 231?
33
Calculate the greatest common divisor of 8400574 and 43127.
707
Calculate the highest common factor of 642219 and 168150.
57
Calculate the highest common factor of 1426707 and 14893.
53
Calculate the highest common factor of 177659 and 293753.
1759
Calculate the highest common divisor of 351 and 229125.
39
What is the greatest common divisor of 138333250 and 13750?
2750
Calculate the highest common divisor of 14720 and 33344.
64
What is the highest common factor of 159875869 and 2307?
769
What is the highest common factor of 4904944397 and 8653?
8653
What is the greatest common divisor of 317770 and 78174?
86
Calculate the highest common factor of 9 and 322576083.
9
What is the highest common factor of 1494 and 838260243?
747
What is the greatest common divisor of 16 and 27286336?
16
What is the highest common divisor of 1606 and 493947784?
1606
What is the greatest common factor of 1123 and 1690684361?
1123
What is the greatest common divisor of 25779 and 11237?
661
Calculate the highest common divisor of 79124 and 2027880.
524
Calculate the greatest common divisor of 230954404 and 16.
4
Calculate the highest common divisor of 77 and 25276237.
7
What is the highest common divisor of 1620 and 183513870?
270
Calculate the greatest common factor of 695786 and 32396.
182
What is the greatest common factor of 21 and 28645743?
21
What is the highest common divisor of 1333911 and 423?
3
Calculate the highest common factor of 4984 and 3460142.
1246
What is the highest common factor of 27578936 and 1232?
616
Calculate the greatest common factor of 18643985 and 17.
17
Calculate the highest common divisor of 29369 and 515226.
43
Calculate the greatest common divisor of 1677793 and 442.
13
Calculate the highest common factor of 1841455 and 1485.
55
What is the greatest common divisor of 9492 and 2017276?
452
Calculate the greatest common divisor of 115311 and 58883223.
6783
What is the highest common divisor of 1119 and 159?
3
Calculate the highest common factor of 884347 and 227119.
383
Calculate the highest common factor of 35958156 and 168.
12
What is the greatest common factor of 63791721 and 4668?
1167
What is the highest common factor of 208596647 and 14?
7
Calculate the greatest common factor of 197112 and 110780.
764
What is the highest common divisor of 504060994 and 1786?
1786
What is the highest common factor of 24696 and 43031408?
2744
What is the greatest common divisor of 447 and 13576433?
149
Calculate the greatest common factor of 124304 and 1808.
16
What is the highest common factor of 1343057 and 29?
1
What is the highest common divisor of 422742 and 1872?
6
What is the highest common factor of 990 and 7116142?
22
What is the greatest common divisor of 196 and 4944247?
49
What is the greatest common divisor of 32057670 and 30?
30
Calculate the greatest common factor of 90317671 and 2.
1
Calculate the highest common divisor of 31654935 and 90.
45
Calculate the highest common divisor of 34109408 and 152.
152
What is the greatest common divisor of 277609 and 223779?
769
What is the greatest common divisor of 23159850 and 17850?
1050
Calculate the highest common divisor of 809 and 1421771387.
809
What is the highest common divisor of 964565 and 62279?
1519
What is the greatest common divisor of 38416 and 1980384?
784
Calculate the greatest common divisor of 8027 and 4334929.
349
What is the highest common factor of 7722297 and 33?
33
What is the highest common factor of 2085 and 513105?
15
Calculate the greatest common factor of 30401 and 15969211.
4343
Calculate the greatest common factor of 1378258 and 15946.
238
What is the greatest common factor of 329 and 92029?
7
What is the highest common divisor of 13494343 and 10544?
659
What is th
|
{
"pile_set_name": "DM Mathematics"
}
|
e 9) to base 12.
17196
What is -246 (base 10) in base 4?
-3312
Convert -474 (base 12) to base 16.
-298
What is -24023 (base 5) in base 6?
-12055
Convert -1211212 (base 3) to base 16.
-542
-1112302 (base 4) to base 8
-12662
What is 1845 (base 11) in base 3?
10012222
-14964 (base 10) to base 8
-35164
Convert -100002 (base 4) to base 5.
-13101
Convert 32355 (base 8) to base 9.
20524
What is 4136 (base 10) in base 16?
1028
What is dc (base 15) in base 8?
317
What is -12717 (base 8) in base 15?
-19c3
What is -3023 (base 12) in base 15?
-1826
What is -3ba (base 15) in base 6?
-3534
What is -348 (base 10) in base 9?
-426
Convert 8113 (base 10) to base 7.
32440
Convert 364e (base 15) to base 7.
45446
What is d89 (base 14) in base 11?
2007
Convert 12 (base 14) to base 7.
22
What is -17a6 (base 15) in base 16?
-13f2
-316 (base 13) to base 6
-2234
-8404 (base 12) to base 16
-3844
Convert -120321 (base 4) to base 15.
-713
Convert 1b5 (base 16) to base 7.
1163
What is b6b (base 12) in base 11?
1286
What is 3433 (base 7) in base 12?
881
-c9b (base 13) to base 5
-32111
Convert -1b089 (base 13) to base 15.
-109cb
What is -4632 (base 11) in base 6?
-44101
Convert 27d (base 15) to base 10.
568
15755 (base 8) to base 13
333c
What is db (base 14) in base 6?
521
What is 2468 (base 9) in base 2?
11100110100
Convert -1225 (base 7) to base 5.
-3320
4563 (base 12) to base 7
31320
What is -1400 (base 5) in base 15?
-100
Convert 1010320 (base 4) to base 13.
2011
-6059 (base 10) to base 4
-1132223
Convert 648 (base 11) to base 15.
36d
-15422 (base 9) to base 15
-31d5
2394 (base 14) to base 11
4732
What is -160 (base 7) in base 5?
-331
What is -10473 (base 8) in base 12?
-2677
Convert 40541 (base 8) to base 4.
10011201
-11012011 (base 3) to base 8
-5757
36568 (base 10) to base 5
2132233
150b (base 15) to base 3
20012002
Convert 411 (base 13) to base 12.
496
What is -2421 (base 16) in base 13?
-4296
44414 (base 5) to base 8
6045
1730 (base 11) to base 9
3026
What is -222103 (base 4) in base 15?
-c07
What is 1011010111 (base 2) in base 7?
2056
Convert -20980 (base 11) to base 16.
-76fb
What is 1b5 (base 12) in base 5?
2111
1000110011100000 (base 2) to base 4
20303200
Convert -220211002 (base 3) to base 10.
-18092
What is 4228 (base 9) in base 16?
c20
What is 1011011010110 (base 2) in base 15?
1aeb
Convert 224441 (base 5) to base 16.
1fb9
What is 7cb (base 13) in base 16?
546
What is b71 (base 14) in base 2?
100011001111
Convert -513 (base 15) to base 5.
-14033
What is 111110000011 (base 2) in base 8?
7603
130f2 (base 16) to base 12
39216
21111132 (base 4) to base 2
1001010101011110
What is 9717 (base 13) in base 6?
241040
101011101010 (base 2) to base 12
174a
Convert -1211000120 (base 3) to base 16.
-8b98
What is -995 (base 15) in base 14?
-b09
-8145 (base 16) to base 7
-165324
Convert -435421 (base 6) to base 3.
-1211200211
What is 2312 (base 9) in base 15?
792
Convert -101 (base 12) to base 10.
-145
Convert 26038 (base 9) to base 5.
1030111
-245064 (base 7) to base 10
-44979
What is -19b7 (base 13) in base 9?
-5267
What is 150323 (base 6) in base 3?
201201120
Convert -21102010 (base 3) to base 4.
-1110123
a55 (base 12) to base 7
4250
-724 (base 13) to base 14
-629
-312201 (base 4) to base 14
-13b3
-12331032 (base 4) to base 11
-1a454
What is 301223 (base 4) in base 12?
1a0b
What is 7602 (base 14) in base 4?
10332202
What is 152aa (base 15) in base 2?
10000101000001110
-2140 (base 12) to base 2
-111001000000
2d7 (base 14) to base 10
581
Convert -a8 (base 12) to base 8.
-200
1896 (base 11) to base 9
3261
Convert -1101111001 (base 2) to base 4.
-31321
Convert 1022003 (base 4) to base 6.
33535
What is 3217 (base 9) in base 4?
210331
What is -211001 (base 4) in base 2?
-100101000001
-12200 (base 5) to base 4
-32131
-1300001 (base 4) to base 8
-16001
21553 (base 8) to base 3
110102211
What is -ac0a (base 14) in base 13?
-10746
Convert -1224424 (base 5) to base 13.
-aa61
-648 (base 9) to base 12
-382
What is -1010101000100 (base 2) in base 7?
-21605
-12312 (base 4) to base 2
-110110110
Convert 102221 (base 4) to base 16.
4a9
What is 11664 (base 15) in base 12?
28104
2761 (base 8) to base 5
22041
22b (base 15) to base 2
111101011
Convert 5730 (base 14) to base 7.
62060
What is 1014a (base 12) in base 3?
1001201111
Convert -1352112 (base 6) to base 4.
-102302030
Convert -105421 (base 7) to base 8.
-44455
What is -5324 (base 10) in base 13?
-2567
What is -13200 (base 5) in base 4?
-100122
What is 5a80 (base 16) in base 4?
11222000
585 (base 13) to base 14
4c2
Convert -7a49 (base 12) to base 13.
-6258
Convert -886 (base 15) to base 16.
-786
What is c9 (base 13) in base 15?
b0
Convert -823 (base 10) to base 9.
-1114
What is -222010 (base 3) in base 12?
-4a9
-223312 (base 7) to base 13
-15043
What is -5435 (base 7) in base 13?
-b60
What is -5384 (base 10) in base 14?
-1d68
Convert 117 (base 8) to base 13.
61
-25841 (base 11) to base 12
-19472
Convert 52250 (base 9) to base 3.
1202021200
Convert 22122 (base 4) to base 15.
2e6
Convert -1001001101 (base 2) to base 15.
-294
3232221 (base 4) to base 6
154413
What is -286 (base 13) in base 3?
-121121
1112 (base 5) to base 9
184
Convert -41477 (base 8) to base 9.
-25547
What is 21214 (base 5) in base 3?
1222010
What is 110000011011101 (base 2) in base 14?
9073
Convert -110001010110001 (base 2) to base 5.
-1302030
3423 (base 5) to base 13
2b7
1312 (base 5) to base 15
dc
500 (base 11) to base 10
605
What is d1cf (base 16) in base 6?
1052355
What is 200220120 (base 3) in base 4?
3113121
-3567 (base 8) to base 7
-5400
Convert -1233 (base 5) to base 2.
-11000001
What is -206 (base 8) in base 13?
-a4
Convert 2108 (base 13) to base 12.
278b
What is -5173 (base 9) in base 13?
-1959
Convert acc (base 15) to base 14.
c66
What is 32304 (base 6) in base 10?
4432
-13052 (base 10) to base 16
-32fc
130223 (base 4) to base 13
ab2
Convert -1160 (base 10) to base 13.
-6b3
Convert 2ef (base 16) to base 15.
351
2205 (base 7) to base 9
1066
Convert -200070 (base 8) to base 11.
-4530a
133023 (base 4) to base 3
2201220
What is 225515 (base 6) in base 12?
b29b
5263 (base 7) to base 16
742
-200012220 (base 3) to base 9
-20186
What is -225 (base 8) in base 4?
-2111
Convert -1188 (base 13) to base 11.
-1953
Convert -10001001001011 (base 2) to base 16.
-224b
Convert -489 (base 15) to base 11.
-856
-134 (base 11) to base 15
-a8
-218a5 (base 11) to base 9
-47427
-221402 (base 6) to base 8
-44112
Convert 44a0 (base 11) to base 14.
222a
-1342 (base 11) to base 10
-1740
What is -9783 (base 14) in base 15?
-7b58
Convert -5367 (base 10) to base 16.
-14f7
What is -4143 (base 5) in base 7?
-1412
Convert 10000111010111000 (base 2) to base 3.
10112001211
-b3c (base 15) to base 5
-40112
Convert 5b1 (base 12) to base 9.
1147
Convert -42515 (base 6) to base 14.
-218b
Convert -22134 (base 7) to base 3.
-21122000
-152205 (base 6) to base 13
-694a
Convert -4098 (base 10) to base 7.
-14643
25b3 (base 12) to base 8
10327
Convert -4126 (base 8) to base 13.
-c82
What is 2215 (base 6) in base 7?
1334
Convert 11779 (base 10) to base 4.
2320003
What is -1b58 (base 14) in base 10?
-4978
2015 (base 7) to base 14
37c
What is 10010001110 (base 2) in base 8?
2216
What is 24043 (base 13) in base 2?
10000000110101101
1146 (base 9) to base 14
44c
-2667 (base 16) to base 11
-7428
-131053 (base 6) to base 11
-8a50
What is -7687 (base 12) in base 9?
-18824
Convert 10111100110011 (base 2) to base 13.
5666
What is -640 (base 10) in base 6?
-2544
-1006 (base 7) to base 11
-298
Convert -1eb2 (base 16) to base 12.
-466a
What is -75b5 (base 13) in base 11?
-11334
-5030 (base 6) to base 8
-2112
What is 6025 (base 13) in base 9?
20111
Convert -2453 (base 6) to base 4.
-21201
What is 2996 (base 10) in base 9?
4088
110100011001100 (base 2) to base 7
141134
What is 1120 (base 5) in base 16?
a0
-583 (base 11) to base 15
-316
Convert 10504 (base 9) to base 3.
100120011
Convert -b47 (base 13) to base 10.
-1918
Convert 333 (base 7) to base 5.
1141
Convert 116654 (base 7) to base 16.
545f
Convert -324 (base 9) to base 2.
-100001001
Convert 216247 (base 8) to base 12.
36207
Convert -31331 (base 5) to base 8.
-4053
What is 665 (base 11) in base 9?
1075
-23b1 (base 12) to base 8
-7665
-111000 (base 2) to base 6
-132
|
{
"pile_set_name": "DM Mathematics"
}
|
((-59)/10 - 11/110). Solve -20*l - 34 = -n for l.
4
Let a(s) = -s**2 + 26*s - 102. Let g be a(14). Let k = -61 + g. Solve k*r + 8 + 12 = 0 for r.
-4
Let k(o) = -6*o + 24. Let u be k(4). Let t(m) = -2*m**2 + 8*m + 3. Let d be t(4). Solve -b = -u - d for b.
3
Suppose 0 = 5*l - m - 24, -2*m - 9 + 1 = 0. Suppose 0 = l*z - s - 64, -3*z - s + 35 = -20. Solve -9 = -2*x - z for x.
-4
Let l = 4315 - 4059. Solve l = -39*m + 22 for m.
-6
Suppose -2*q = 4 - 8. Let z be (-1 - -1 - q)/(2/(-14)). Let a(k) = -k**2 + 14*k + 1. Let j be a(z). Solve -l + 0 = -j for l.
1
Let r = -1160 + 1160. Solve r = -7*l - 26*l + 66 for l.
2
Suppose 0 = -7*i + 398 - 76. Suppose 11*u + i = -20. Let g = u + 6. Solve -4*v = -g*v + 12 for v.
-3
Let o = 416 - 143. Let w = 278 - o. Solve -2*v + w = -3 for v.
4
Let s = -2 - -2. Suppose -5*n + 71 = 3*m, n - 48*m = -44*m - 64. Solve -n*h - 35 + 27 = s for h.
-2
Suppose -4*x + 9*x - 20 = 0. Suppose -x*j - 4*h + 16 = 0, 5*j - h - 19 = -5*h. Let k(o) = o**2 - 4*o - 3. Let b be k(5). Solve j = b*d + 7 for d.
-2
Let i(o) = 3*o + 0*o + 3*o**2 - 4*o**2 + 6*o - 4. Let h be i(6). Let p be (h/(-8) - -2)*8. Solve -n + p*n = -3 for n.
-3
Let p(d) = 3*d - 4. Let h be p(0). Let a(b) = -b**2 + 7*b - 6. Let u be a(6). Let q be 1*(u + (-12)/h). Solve 0 = 5*r - 2 - q for r.
1
Let y = -17 + 16. Suppose -2*a - 9*a = 66. Let s be (y - 2/a)*(-12)/4. Solve -1 = -x + s*x for x.
-1
Let f = -6884 - -6911. Solve -f - 5 = -8*r for r.
4
Let a(m) = 56*m - 3282. Let w be a(59). Solve 19*g - 164 = -w*g for g.
4
Let f be (439 - (-14 + -9)) + 10. Solve 142*t - f = 24*t for t.
4
Let x = 138 + -106. Suppose 3*t - o - 43 = 0, -2*t + x = 5*o - 4*o. Solve t*m = 6*m - 18 for m.
-2
Let h = -37 - -49. Suppose h*i - 6 = 6*i. Solve -4 = -f - i for f.
3
Let m = -257 + 150. Let t = m - -108. Solve 0 = -8*b + 17 - t for b.
2
Let p be -5*(-16)/360 - (-70)/9. Suppose -p*r + 8 = -6*r. Solve -4*g = r - 12 for g.
2
Let j = 329 + -325. Let q be (0/(5 - 0))/((-3)/(-3)). Solve h - j*h = q for h.
0
Let i(k) = -72*k**3 - k**2. Let o be i(-1). Suppose -3*v + 192 = 19*t - 22*t, -5*v + 330 = -3*t. Let c = o - v. Solve 5*l = 4*l - c for l.
-2
Let a be (133/21*57)/(1/1). Let y = -354 + a. Solve -5 - y = -4*b for b.
3
Let m(q) = -q**3 - 8*q**2 + 15*q + 5. Let z be m(-10). Suppose 13*a = 14*a + z. Let j = -52 - a. Solve j = -c + 8 for c.
5
Suppose 4*n + 37 = s + 46, 5 = 3*n + s. Suppose n*d - 5*y + 20 = 0, 8*y = -2*d + 5*y + 12. Solve 24 + d = -6*r for r.
-4
Suppose 10*l - 32051 = -31821. Solve l*z - 351 = -16*z for z.
9
Let v = 2054 - 2052. Let j be (-2)/(-3)*(-9)/(-2). Suppose -j*n - i + 2 = 0, 3*i - 6 = -2*n - 0*i. Solve -v*f + n*f = -4 for f.
2
Suppose 5*u - 14 = -3*k - 3, -5*u = -5*k + 5. Let o be (3*u)/((-8)/440*-15). Solve 1 - o = 5*g for g.
-2
Let k be -87*8/(-6) - (-4 + 2). Let q = 122 - k. Solve -q*y = -3*y + 2 for y.
-2
Suppose t - 29*n - 31 = -34*n, 5*t = -5*n + 55. Let q = 8 - 6. Solve q*j = t*j - 8 for j.
2
Let n(u) = u**3 + 8*u**2 + 11*u - 3. Let z be n(-6). Suppose 94 = -4*q - 3*v, q + z*q - v = -86. Let y = q - -24. Solve 3*i + y + 7 = 0 for i.
-3
Let z be 5 + (-5 - -1) - -46. Suppose -49*o + 6 = -z*o. Solve o = 3*i - 6 for i.
3
Let l be 23/(4 + 21/(-7)). Suppose -7*u + 12 = -l. Solve -4*w - u = -9*w for w.
1
Let f(q) = -10*q + 7*q**3 + 5*q + 6*q - 2*q**2. Let c be f(1). Let r = 2847 - 2844. Solve -c*p = -r*p + 3 for p.
-1
Let p(z) = 9*z + 26. Let m be p(14). Let u = m - 94. Suppose -2*r - u = -62. Solve -5 + r = n for n.
-3
Suppose 5*d - 5*u - 75 = 0, -d = -0*u + 3*u - 7. Let z be (-6)/(-2) + d + 4. Solve 3*p + z = -p for p.
-5
Let y(j) = -j**3 + 6*j**2 + 20*j - 7. Let v = 272 - 264. Let h be y(v). Solve -7*u = -2*u + h for u.
-5
Suppose 0 = 2*g - 4*g + 12. Let o(m) = 2 - 34*m**3 + 18*m**3 - g*m**2 + 7*m + 15*m**3 + 3. Let q be o(-7). Solve q*y = y for y.
0
Suppose -421 - 84 - 865 = -10*l. Solve 22 = -126*w + l*w for w.
2
Let p(w) = -11*w + 18. Let m be p(0). Solve -7*j - m = -10*j for j.
6
Let o be ((-2)/(-24)*3)/(15/1080). Solve -o*p = -p - 85 for p.
5
Let b = -14 + 26. Let a(s) = -9*s - 66. Let l be a(-8). Let q = b - l. Solve 0 = 2*f - q + 16 for f.
-5
Suppose 31 = 5*v - 2*s, -31*v - 5*s - 40 = -36*v. Solve v - 25 = 20*n for n.
-1
Suppose -24218*w + 24236*w - 540 = 0. Solve -10 = -10*i - w for i.
-2
Suppose 5*h - 10*h = 0. Suppose -4*a + j + 65 = 0, a - 8 - 12 = 4*j. Let l be (-15)/2*a/(-10). Solve -l*p + 11*p + 2 = h for p.
2
Let b = -363 - -319. Let g(l) = -l**2 - 46*l - 83. Let f be g(b). Solve 0*x = -5*x - f for x.
-1
Suppose -8*t = -3*t - 285. Suppose -t = 6*x + 201. Let r = 43 + x. Solve 3*u + 8 + 7 = r for u.
-5
Suppose 4*c - b = 12, -5*b + 7720 = c + 7675. Let f be 1/(-1 + (-14)/(-12)). Solve -h - c = -f for h.
1
Let x be (-90)/63 - 186/(-42). Let b = 65 + -63. Solve a - b*a = -x for a.
3
Suppose l + 4 = 2*u, l - 3*u = -2*l. Suppose l*a = 20, 0 = 2*k + 6*a - a - 59. Solve 23 + k = 8*r for r.
5
Let r be ((-4)/6)/(-1)*(14 - 5). Let j be ((-48)/r - -1) + 35. Solve 2 = -6*z - j for z.
-5
Suppose -4*i = 4*m - 32, 11*m = -i + 13*m + 8. Solve i*u + 10 = 6*u for u.
-5
Let q be 2 - (-25 + -1 + -1). Suppose 3*j - t = -q - 46, 50 = -2*j + 3*t. Let v be (j/5)/(-5) + 3. Solve -3*k + 16 = v for k.
4
Suppose 69 = 3*t - 5*g, 60*g = 63*g + 9. Solve 27*r + 45 = t*r for r.
-5
Let w(g) = -20*g + 151. Let d be w(7). Suppose 29*c - 28*c = d. Solve 0 = -6*m + c*m for m.
0
Suppose -225 = 3*q - 12*q. Solve -72 = q*p - 7*p for p.
-4
Suppose -612 = 2*w - 656. Suppose w*d - 24*d = -8. Suppose 4*c + 11 = 5*l, 3*l - 9 = -4*c + 4. Solve -1 = -d*b + l for b.
1
Let t = 72 + -49. Let h be 7 - -26 - (-3 + 8). Solve -h*z + 5 = -t*z for z.
1
Let j(a) = -a**3 + 30*a**2 - 36*a + 2. Let d be j(4). Solve -o - d = -280 for o.
6
Suppose 3*p - 72 = -4*v, 0 = 4*v - 9*v + 4*p + 121. Suppose -4*m + 3 + 9 = 0. Suppose m + v = 4*u. Solve u*n + 10 = n for n.
-2
Let d be 7/(-5) + 2 - 936/(-15). Suppose -d = -5*w + 17. Suppose -8 = 2*y - w. Solve -y*x = -x + 15 for x.
-5
Let f(x) = x**3 + x**2 - 5*x - 5. Suppose 3*i = -2*i - 10. Let b be f(i). Let t = -24 - -26. Solve t*w = 3*w - b for w.
1
Let q(j) = j**3 + 6*j**2 - j. Let y be q(-6). Suppose 5*u - 53 = 4357*i - 4358*i, -4*i + 5*u = -87. Solve -11*w - i + y = 0 for w.
-2
Let o(a) = 5*a**2 + 6*a + 5. Let v be o(-1). Suppose -2*p + 2*f = -3*p - 5, v*p - 19 = 5*f. Solve -3*m - p = 8 for m.
-3
Let u(p) = 105*p + 330. Let r be u(-3). Let c be 4/(4/15) - 1. Let s = r - c. Solve -2*m - s - 3 = 0 for m.
-2
Let b = -161 - -161. Suppose -21*c + 6*c + 45 = b. Solve -9 = 3*s - c for s.
-2
Suppose 2*l + y - 39 = 0, -58 = 4*y - 38. Solve 14 = 2*s + l for s.
-4
Let o(v) = 2*v - 4. Let d(g) = -4*g**3 - 2*g**2 - g + 1. Let c be d(-1). Let r be o(c). Suppose 0 = 4*q - 2*u + 1 - 9, -r*u = 0. Solve 0*b = q*b for b.
0
Let w be (1/(-2))/(7/350*-5). Let h be 2/10 + (-5)/25. Solve 0 = 5*u - h*u + w for u.
-1
Let r = 11817 - 11057. Solve 772 = -2*z + r for z.
-6
Let q be ((-18)/10)/((-153)/1275). Suppose -10*l = -15*l + 60. Suppose -4*d - w = -2*w - 14, -4*w + l = d. Solve b - q = -d*b for b.
3
Suppose 51 = 11*w + 7. Suppose 2*z - 14 = -w*u, 0 = z + 3 - 6. Let d(m) = m**3 + 7*m**2 + 7*m + 6. Let i be d(-6). Solve f + 0*f - u = i for f.
2
Let m = -15412 - -15418. Solve -64*y = -61*y + m for y.
-2
Let o be -59 - 20/(-4) - (-1 + -3). Let f = o - -60. Solve 8*l + f = 13*l for l.
2
Suppose -22 = -3*c + 35. Suppose -3*h = 15, d = -d + 3*h + c. Suppose -90*l - 1450*l = -12320. Solve 2*i + l = d for i.
-3
Let u(m) = 4*m - 9. Let l be u(3). Suppose 4*w - l = 5. Solve w*h + 20 = 7*h for h.
4
Let s = 27 + -31. Let z be ((-16)/(-6))/(s/36*3). Let y be ((-26)/z - 3) + 12/16. Solve -4*u + y = -7 for u.
2
Suppose 0 = 3*c - 2*p - 21, -23 = -8*c + 4*c + p. Suppose -21*s + 17*s - c*v = -17, -3*s + 2*v + 30 = 0. Solve -2 = s*i + 30 for i.
-4
Suppose 7*r + 48 = 10*r. Suppose -20*n = r*n - 36. Solve 5 = f + n for f.
4
Let b be -4 + (-3 - (-6 - -3) - -13). Suppose 2*g + 1 = -y + b, -4*g + 2*y = -8. Solve 0 = -d - g*d - 16 for d.
-4
Let a(q) = -q**3 + 10*q**2 - 8*q - 6. Let d be a(9). Let x(k) = -k**3 + 2*k**2 + 4*k + 2. Let g be x(d). Solve -g*n = -0*n - 20 for n.
4
Let z be (675/(25/5))/(-1 - -2). Let i = z + -41. Let o = i - 94. Solve o = 4*c - 2 + 10 for c.
-2
Suppose 25 = 10*h - 15. Let t(k) = -k - 11*k**3
|
{
"pile_set_name": "DM Mathematics"
}
|
*sqrt(108)).
-27*sqrt(11)/8 + 3
Simplify ((sqrt(750)*1)/((sqrt(120) + 1*sqrt(120))/sqrt(12)))**2.
75/4
Simplify -5 + 0 + sqrt(1216) - ((sqrt(684) + sqrt(684)*1 + sqrt(19) - sqrt(19))**2 + 3).
-2744 + 8*sqrt(19)
Simplify 2*(-2 + -3*sqrt(180) - ((sqrt(80)*4 - sqrt(5) - sqrt(5)) + (-3*(sqrt(5) + -2*sqrt(5)))**2)).
-64*sqrt(5) - 94
Simplify 3 + 5*(3 + (-6*sqrt(416))/sqrt(2)).
-120*sqrt(13) + 18
Simplify ((-2*sqrt(1440) - (sqrt(1000) - (2*sqrt(1000) - sqrt(1000) - sqrt(1000)) - sqrt(1000)))/((sqrt(32)*2 + sqrt(2))*-4))**2.
20/9
Simplify -3 + (sqrt(7)*-3 + 1 - sqrt(84)/(sqrt(120)/sqrt(10))).
-4*sqrt(7) - 2
Simplify -3 + (sqrt(5000)*1)/(((sqrt(10) - sqrt(30)/sqrt(3)) + sqrt(10))*1).
-3 + 10*sqrt(5)
Simplify 4*(5 + (sqrt(1573) - (0 + sqrt(1573)*-2 + sqrt(1573))))**2 + -1.
880*sqrt(13) + 25267
Simplify (sqrt(32)/sqrt(4))**2 + -1*sqrt(72) + ((sqrt(2) - (0 + sqrt(2)))*5 - sqrt(2) - (1 + (sqrt(32))**2)).
-25 - 7*sqrt(2)
Simplify -6*(sqrt(252) + sqrt(252)*-1) + ((2*sqrt(112))/sqrt(4) + sqrt(28))**2 + 0.
252
Simplify 1 + (6*(sqrt(1300) + -1 - sqrt(1300))*5 + -1*1*sqrt(1300) + sqrt(1300)*-2 + 0)**2.
1800*sqrt(13) + 12601
Simplify 3 + 5 + sqrt(11)*2 + -6*(sqrt(88)/(sqrt(8)*1))**2.
-58 + 2*sqrt(11)
Simplify 6*-2*((sqrt(21) - sqrt(189))/sqrt(7) + -4*(2 + sqrt(3)))**2.
-2064 - 1152*sqrt(3)
Simplify 3 + -1*sqrt(17)*2 + (sqrt(425) + sqrt(425) + 0 - sqrt(425) - sqrt(425)) + -5.
-2*sqrt(17) - 2
Simplify (((sqrt(110) + sqrt(110)*-1)*4)/(1*sqrt(160) + sqrt(160) + sqrt(10)))**2*6*-4.
0
Simplify (-3 + (1 + sqrt(1008))*1 + 1*-2*sqrt(1008)*3)**2.
240*sqrt(7) + 25204
Simplify -5 + ((sqrt(1700)*-2 - sqrt(17))**2 - (sqrt(17) - (sqrt(17) + sqrt(1088)*-6) - sqrt(17))).
-47*sqrt(17) + 7492
Simplify 3 + (sqrt(1573) - (-3*sqrt(1573)*-3 + sqrt(1573)))**2 - (1 + (sqrt(1573) - (sqrt(1573) + -1*sqrt(1573)*4)))**2.
-88*sqrt(13) + 102247
Simplify 4*(1*(sqrt(190) + 1*sqrt(190)))/(sqrt(90)*1 - sqrt(10)) + 2.
2 + 4*sqrt(19)
Simplify 0 + ((sqrt(13) + 2)*1 - (sqrt(1573) - (sqrt(1573) + -3)**2 - sqrt(1573))) + 2 + -4.
-65*sqrt(13) + 1582
Simplify (-2*sqrt(60))/sqrt(3) + (1*sqrt(1620))/sqrt(9).
2*sqrt(5)
Simplify ((sqrt(405) - (4 + (0 + sqrt(405) - sqrt(405)) - sqrt(405))) + sqrt(405) + -5)**2 - 6*(sqrt(405) - (-1 + sqrt(405) + sqrt(405) + sqrt(405))**2)*-1.
-18150 - 108*sqrt(5)
Simplify -3*(sqrt(245) - -3*(sqrt(245) + sqrt(245)*2) - -6*(sqrt(245) + sqrt(245) + (sqrt(245) - (-1 + sqrt(245))) + sqrt(245)))**2*4.
-2305392 - 28224*sqrt(5)
Simplify -3 + (sqrt(44)*2 + 2)**2 + -2*(0 + 2 + sqrt(11)).
14*sqrt(11) + 173
Simplify (4*(sqrt(1575) + -1) + (-5*(sqrt(700) + -1) - (-1 + 1*sqrt(700))))**2.
4
Simplify ((1 + sqrt(7)*-2 + sqrt(1008)*-1)*6)**2.
-1008*sqrt(7) + 49428
Simplify (sqrt(2) + (sqrt(2) - (sqrt(128) + sqrt(128) + (2*sqrt(128) - sqrt(128)) + sqrt(2))) - (sqrt(32) + -5) - (5 + -4 + sqrt(2) + -1)) + 1.
-28*sqrt(2) + 6
Simplify -1 + 5 + (sqrt(288)/(sqrt(12) - (sqrt(12) - (sqrt(12) - sqrt(48)))))/sqrt(8)*-4 + 1.
5 + 4*sqrt(3)
Simplify 2*((-2*sqrt(175))**2*-3 + -1 + (sqrt(175) + 0 + sqrt(175))**2 + 4)*-1.
2794
Simplify ((6*(1 + sqrt(1088)))**2 + (-5 + -1 + sqrt(1088) + sqrt(1088) + sqrt(1088))**2 + -2*(sqrt(1088)*-1)**2 + 4)*2.
576*sqrt(17) + 93720
Simplify (1*(sqrt(42) + sqrt(378)) - sqrt(42)*-2*6)/(sqrt(1350)*2).
8*sqrt(7)/15
Simplify 1 + (4*-1*(sqrt(605)*-3*6 + 1))**2.
-6336*sqrt(5) + 3136337
Simplify 2 + (sqrt(448) + 1 + sqrt(448) + sqrt(448) + -4 + sqrt(448) + -4 + sqrt(448)*-2)**2*-2.
-3680 + 448*sqrt(7)
Simplify -4*(2*(-1 + sqrt(245)))**2*-5.
-1120*sqrt(5) + 19680
Simplify -3 + sqrt(8)*2 + sqrt(2) + sqrt(12)/(sqrt(6)*1 + sqrt(6)) + (sqrt(200) + sqrt(200) + sqrt(200)*2 + sqrt(200) + -4)**2.
-789*sqrt(2)/2 + 5013
Simplify -5 + (-2 + sqrt(1900) + -4 + -2)**2.
-160*sqrt(19) + 1959
Simplify (-1*sqrt(66))/sqrt(6)*-4 - ((sqrt(88)/sqrt(4))/sqrt(2) - (sqrt(11) + (sqrt(11) + sqrt(11) + 0 + -4)**2)).
-12*sqrt(11) + 60
Simplify (1*sqrt(2200))/(sqrt(176)*5)*-1.
-sqrt(2)/2
Simplify 4 + (-3*sqrt(153))**2 + (sqrt(2057) + -1 + 1)**2.
3438
Simplify (-2*-2*((sqrt(605) + (-1 + sqrt(605) - sqrt(605)))*-1 + (sqrt(20) + sqrt(5))*-5 + 4))**2.
-4160*sqrt(5) + 54480
Simplify (-2 + 3 + -4*(sqrt(832) + -2) + 4)**2.
-832*sqrt(13) + 13481
Simplify 3*(-5*(-2 + sqrt(5)*1 + 5 + (sqrt(540)/sqrt(12) - sqrt(5))))**2.
1350*sqrt(5) + 4050
Simplify 2 + 0 + (-3*sqrt(216))/(sqrt(12)*2*3).
-3*sqrt(2)/2 + 2
Simplify (((-4*sqrt(77) - sqrt(77))*5)/sqrt(11) - 5*((sqrt(700) + sqrt(700)*3 - sqrt(700)) + sqrt(700)))**2.
354375
Simplify (sqrt(85)/(-2*sqrt(20)) - sqrt(187)/((sqrt(110)/sqrt(5) + sqrt(22))/sqrt(2)))**2.
153/16
Simplify (sqrt(36)/sqrt(3) + sqrt(12))/sqrt(6) + -3 - -1*(sqrt(98) - (2*sqrt(98))**2).
-395 + 9*sqrt(2)
Simplify (sqrt(209) + sqrt(209)*1*-5)/(sqrt(22)/sqrt(32)) + 4.
-16*sqrt(19) + 4
Simplify sqrt(128) + 2 + 5 - (sqrt(126)/(sqrt(847) + sqrt(7)) + sqrt(18)).
19*sqrt(2)/4 + 7
Simplify 3 + ((sqrt(19) + 1 + -4 - sqrt(19))*-3 + -3)**2 + 2.
41
Simplify (4*sqrt(1800) - sqrt(1800))/((sqrt(50) - sqrt(150)/sqrt(3))/sqrt(5) + sqrt(10)).
18*sqrt(5)
Simplify (sqrt(1100) - (sqrt(1100) - sqrt(1100)*-2) - (-2*sqrt(176))**2) + sqrt(99) + 4 + 5.
-695 - 17*sqrt(11)
Simplify 1 + sqrt(125) + ((-1*sqrt(20))**2 - sqrt(5)) + (-4 + sqrt(320))**2 + 3.
-60*sqrt(5) + 360
Simplify 4 + (-1*(-3*sqrt(208) + sqrt(208) - sqrt(208)) - ((sqrt(208) - -1*(sqrt(208) - 3*sqrt(208) - sqrt(208)))**2 - sqrt(208))).
-828 + 16*sqrt(13)
Simplify (2*2*sqrt(171))**2 + (sqrt(171) - (sqrt(171)*-1*-4)**2) + -4*-3*(sqrt(171) + -2)**2.
-141*sqrt(19) + 2100
Simplify ((sqrt(1900) - (sqrt(1900) + 2) - sqrt(1900)) + -5 + sqrt(1900) + (4 + -3*sqrt(1900) - sqrt(1900)))**2*-6.
-182454 - 1440*sqrt(19)
Simplify ((-1*(sqrt(143) - (-5*sqrt(143) + sqrt(143))) - sqrt(143))*2)/((sqrt(11) - (sqrt(11) + 5*(sqrt(11) - -1*sqrt(11))))*-4).
-3*sqrt(13)/10
Simplify -5*sqrt(80)/(sqrt(10)*-1*-6) + -2.
-5*sqrt(2)/3 - 2
Simplify ((sqrt(171) + sqrt(171)*2 - sqrt(171))*-6*5)/(sqrt(72)/(-5*sqrt(16)/sqrt(2))).
300*sqrt(19)
Simplify (-2*sqrt(3456) + sqrt(3456))/(sqrt(15)/sqrt(5)*2).
-12*sqrt(2)
Simplify -2 + ((sqrt(13) - (-1 + sqrt(13) - sqrt(13)))**2 + -4 - sqrt(130)/(sqrt(40)/sqrt(4))) + -1 + (sqrt(13) - ((sqrt(1300)*2)**2 + sqrt(1300))).
-5193 - 8*sqrt(13)
Simplify (-5*(sqrt(325) + sqrt(325) + sqrt(325) + -5*(1 + sqrt(325))) - (1*sqrt(325)*3 - 1*sqrt(325)*-2))**2.
1250*sqrt(13) + 8750
Simplify (-6*sqrt(1296))/((sqrt(12) + sqrt(12)*2)*-2) + 3 + 3.
6 + 6*sqrt(3)
Simplify (sqrt(10) - (-1*sqrt(50)/sqrt(5) + sqrt(10)))/((sqrt(132)/sqrt(6))/sqrt(11)).
sqrt(5)
Simplify -4*(4 + 4 + (sqrt(2448)*2 + 5 - -3*(-1 + sqrt(2448)))**2).
-244848 - 960*sqrt(17)
Simplify 2 + 4 + (sqrt(12)/(-5*-1*sqrt(6)) - (sqrt(10)/(sqrt(5)*2) + sqrt(2) - (sqrt(2) - ((1*sqrt(20))/sqrt(10) + sqrt(2)))))**2.
829/50
Simplify (sqrt(350)/(sqrt(35)/sqrt(45)))/(sqrt(60)/(sqrt(24)*4)).
24*sqrt(5)
Simplify 2*(4 + 2 + -2 + 3*sqrt(153)).
8 + 18*sqrt(17)
Simplify ((sqrt(35)*1)/sqrt(7))**2 - (-4 + (sqrt(5) - sqrt(20))) - -4*sqrt(180).
9 + 25*sqrt(5)
Simplify (4*(2 + (sqrt(252) + 1 - sqrt(252)) + -5)*-2)**2*2.
512
Simplify (-4*sqrt(132)*-2*-3)/(sqrt(1200)*-1 - (sqrt(72)*2)/sqrt(6)).
2*sqrt(11)
Simplify ((2*sqrt(4200))/sqrt(3))/(-4*sqrt(56)/sqrt(32)).
-10*sqrt(2)
Simplify ((sqrt(171) - (sqrt(171) + (sqrt(171) - 1*sqrt(171))))/sqrt(9) - sqrt(19)*3*-4) + 0 + ((0 + sqrt(2299))*-1)**2.
12*sqrt(19) + 2299
Simplify (1*sqrt(64) - sqrt(64) - sqrt(64) - sqrt(400)*1)/(3*(sqrt(6)/sqrt(3) + sqrt(2))*2).
-7*sqrt(2)/6
Simplify (0 + sqrt(175) - (sqrt(7) - (sqrt(7) + (sqrt(42)/sqrt(3))/sqrt(2)))) + (1 + sqrt(56)/(sqrt(8)*-2))**2.
11/4 + 5*sqrt(7)
Simplify 5 + (-2*sqrt(77))/sqrt(7) + -1 - (sqrt(176) + 0 + ((0 + sqrt(11))*1 - sqrt(11))).
-6*sqrt(11) + 4
Simplify (-4 + sqrt(2448) + -1 + sqrt(2448) - sqrt(170)/(sqrt(60)/sqrt(150)))**2.
-190*sqrt(17) + 6162
Simplify (sqrt(135) + (sqrt(135) - (sqrt(135) - (sqrt(135) + sqrt(135)*-3)) - sqrt(135)))/(sqrt(3) - (sqrt(3) + sqrt(192))*3).
3*sqrt(5)/13
Simplify (-5*(sqrt(66)*4 + sqrt(66))*-3)/(sqrt(54)/(sqrt(9) + sqrt(180)/sqrt(5) + sqrt(9) - sqrt(9))).
225*sqrt(11)
Simplify 4 + sqrt(68) + 3*(2 + sqrt(68)) - 6*((sqrt(68)*2 + sqrt(68) + -1 - sqrt(68)) + sqrt(68))**2.
-3668 + 80*sqrt(17)
Simplify 2*(3*(sqrt(32) + 0 - sqrt(32) - sqrt(32)))**2*4.
2304
Simplify ((-5*-1*sqrt(11) - (sqrt(539) - (sqrt(539) + 1))) + (4 + sqrt(
|
{
"pile_set_name": "DM Mathematics"
}
|
pose -62*h + 92*h - 33480 = 0. Is h a multiple of 36?
True
Suppose 5*p - 15 = 2*p, f - 5*p + 22 = 0. Suppose f*i - 111 = -2*b, 0*b - 5*b - 93 = -2*i. Does 13 divide i?
True
Suppose 4*c - u - 414 = u, 0 = 5*c + 4*u - 511. Let f(m) = -2*m**3 - 44*m**2 - 44*m - 39. Let s be f(-21). Suppose s*z = 104 + c. Is 27 a factor of z?
False
Let u be ((-275)/20 - -4)*(2 + 6). Let l be 0/1 - (2 - 1). Is l/(u/77 + 1) a multiple of 21?
False
Suppose 30*v + 602 = 37*v. Is v a multiple of 4?
False
Let g be (-109 + -7)/(4/(-6)). Suppose -g = -3*s + s. Suppose -4*i + 25 = -s. Is 7 a factor of i?
True
Suppose 5*u - 4*u + 7 = 0. Is u/(14/(-16)) + 0 a multiple of 4?
True
Suppose 5*k + 0*k - 935 = 0. Let o = 41 + k. Is 19 a factor of o?
True
Let k be (1 - (-30)/(-4))*-4. Suppose k = -c + 3*i, -3*i + 8*i = -2*c - 30. Is ((-56)/6)/(c/30) a multiple of 5?
False
Let q = 2097 - 1635. Does 11 divide q?
True
Suppose 213 = 5*v - 67. Suppose -3*i = v + 76. Let y = -33 - i. Does 2 divide y?
False
Let v(r) = -r**2 - 11*r - 13. Let h be v(-9). Let a = 10 - h. Is (-4)/(-10) + 68/a a multiple of 7?
True
Suppose -17944 = -5*v - o, -v + 17940 = 4*v + 5*o. Does 103 divide v?
False
Is 14/(-1*6/(-285)) a multiple of 35?
True
Let z(n) = n + 16. Let j = -13 - -15. Suppose -4*o - q + 5 = -j*q, 3*q = 2*o - 15. Is 8 a factor of z(o)?
True
Suppose -19*c - 17 = -207. Is 3 a factor of c?
False
Let j be (36/(-45) - (-1)/(-5))/(-1). Suppose -5*s = 3*f - 255, -2*s + 4*s + 4*f - 88 = 0. Let y = s + j. Is 12 a factor of y?
False
Let p(k) = 12*k + 1 + 0 + 34*k. Is p(1) a multiple of 8?
False
Let w(o) = -18*o + 21. Suppose 5*r + 46 = -4*y, y - 2*r + 3 = -2. Does 32 divide w(y)?
False
Let s be (0 + -1 + 0)*-2. Suppose -s*d + 2 = -w, -d + 18 - 7 = 2*w. Suppose 3*q - w*q = 3*h - 20, -4*q + 3*h = -110. Is 13 a factor of q?
True
Let c = -366 - -859. Is c a multiple of 29?
True
Is 88 a factor of (-27000)/(-405)*(13/4 - 1)?
False
Let y(s) = -s**3 + 6*s**2 + 18*s - 16. Let i be y(8). Suppose -3*x + 114 = 3*c, i = 5*c - 0*x - 4*x - 172. Is c a multiple of 4?
True
Suppose 0 = 2*q - 531 + 211. Is q a multiple of 8?
True
Let t(o) = -2*o**3 - 8*o**2 + 5*o + 9. Let k be t(-6). Let f = k + -88. Is 35 a factor of f?
True
Is 8 a factor of 36/(-54) - (-1390)/6 - -4?
False
Let g be 25/(0 + 5) - 3. Suppose s - 138 = -g*s. Does 19 divide s?
False
Let j(n) = -n + 7. Let y be j(4). Is 10 a factor of y/5 + 18291/65?
False
Let z(u) = u**3 - 10*u**2 - 12*u + 11. Let j be z(11). Suppose j = -5*b + 11*b - 1152. Does 12 divide b?
True
Let f(t) = 16*t - 4. Let d(k) = 17*k - 5. Let i(h) = -2*d(h) + 3*f(h). Suppose 4 + 0 = 2*o. Is i(o) a multiple of 12?
False
Let z = 1 + -7. Let m = z + 8. Suppose m*k - 28 = -4. Does 3 divide k?
True
Suppose -10*v = -13*v + 1620. Is v a multiple of 27?
True
Suppose -34*t + 35*t = 8. Let c(m) = 8*m + 1. Let b be c(4). Let w = b - t. Is 16 a factor of w?
False
Suppose 38 = 4*w - 3*w. Suppose -2 = -3*k + 5*j - j, 0 = -3*k - 4*j - w. Is 324/45*(-20)/k a multiple of 4?
True
Suppose 6600 = x + 4*x. Does 10 divide x?
True
Let h be 2 + (-1 + 2)*-15. Let s = 60 + h. Does 14 divide s?
False
Let j(q) = -q - 3. Let t be j(-6). Let a = -12 - -12. Suppose -t*p + 27 = -a*p. Is 9 a factor of p?
True
Let b be (10 - 7)*5/3. Suppose 3*c - c - 12 = -2*z, -3*c - b*z + 22 = 0. Suppose 2*g = -c + 28. Is g a multiple of 7?
False
Let n(h) = -h**3 + 23*h**2 + 18*h + 16. Is n(8) a multiple of 80?
True
Let i(f) = f**3 + 3*f**2 - 5*f - 2. Let g be i(-4). Suppose 0 = -3*u - g*u + 670. Does 20 divide u?
False
Let o(j) = j**2 - 8*j + 17. Let r be o(5). Suppose -n + 449 = 5*x + r*n, 89 = x + n. Does 13 divide x?
True
Let w be 2 - 21*2/6. Let g(d) = -d**3 - 3*d**2 - 2*d - 6. Let z(j) = -j**3 - 2*j**2 - 2*j - 6. Let x(y) = 3*g(y) - 2*z(y). Is 4 a factor of x(w)?
True
Let h be 625 - ((1 - -2) + -4). Suppose -558 - h = -8*d. Does 37 divide d?
True
Let d = 0 - -50. Is 11 a factor of d?
False
Suppose -3*h + 1467 = -633. Suppose 5*u + 0*u - h = 0. Does 18 divide u?
False
Let p(h) = -h**2 - 3*h + 1. Let z be p(-7). Does 18 divide 430/6 - 9/z?
True
Let b(h) = 30*h - 270. Is 6 a factor of b(13)?
True
Let g(j) = 4*j**2 + 57*j + 144. Is g(-22) a multiple of 7?
True
Let v(u) = -u**3 + 16*u**2 + 22. Let p be v(16). Suppose -24*o = -p*o - 8. Suppose o*y - 72 = -2*y. Is 12 a factor of y?
True
Suppose q + 5*d - 282 - 331 = 0, -5*q - 3*d = -3043. Does 38 divide q?
True
Let h(f) = f**3 + 11*f**2 - f - 16. Let d be h(-11). Let n be ((-14)/(-10) + -2)*d. Suppose -20 = -n*s + 10. Is 4 a factor of s?
False
Let x(h) be the second derivative of -h**3 + 2*h**2 - 8*h. Is x(-11) a multiple of 15?
False
Suppose -4*s + 20 = -0. Let h be 16/5*s/2. Does 13 divide ((-96)/(-10))/(h/40)?
False
Let o(t) = 3*t + 1. Let f be o(0). Is 12 a factor of (1/1)/(f/151)?
False
Suppose 0 = -3*w + 3*q + 27, 3*w = q - 2*q + 11. Suppose 0*d = w*d - 25. Suppose d*s - 3*s - 4*y = 72, -s - y + 33 = 0. Does 9 divide s?
False
Let q(m) = m**2 + 2*m. Suppose 2*i - 15 + 23 = 0. Let n be q(i). Suppose 303 = -n*b + 11*b. Is b a multiple of 29?
False
Let q(k) = k**2 + 7*k + 4. Let i be q(-5). Let u = -22 + 5. Let p = i - u. Is 11 a factor of p?
True
Let b = 24 + -28. Let p be (0 - 2/4)*b. Suppose -3*n - 3*i + i = -46, 2*n - p*i - 44 = 0. Is 6 a factor of n?
True
Suppose 0 = 5*m - 5*z - 1165, -9*m + 7*m + z + 461 = 0. Is m a multiple of 57?
True
Let w(j) = j**3 + j**2 + 3*j + 370. Is 5 a factor of w(0)?
True
Suppose 8 + 1 = 3*a. Let k = 11 - a. Does 4 divide (-47)/(-3) - k/12?
False
Is 19 a factor of ((-342)/12)/(12/(-416))?
True
Let r(h) = 94*h - 44*h - 48*h - 2 + 15*h**2. Is 2 a factor of r(1)?
False
Suppose -6*x = 2*x - 88. Suppose -5*h = -34 - x. Is 9 a factor of h?
True
Suppose -3*l = -j - 12, 2*j = 5*j - 2*l + 8. Suppose a + 0*a - 2 = j. Suppose -a*d + 66 = d. Does 22 divide d?
True
Let t = 1101 - 660. Is 21 a factor of t?
True
Let f = 40 - 35. Suppose p - f*d = 47, d - 20 = 2*p - 132. Is p a multiple of 22?
False
Let o = 1342 - 876. Does 32 divide o?
False
Let h = 561 + -156. Is h a multiple of 45?
True
Suppose -4*f - 2*v + 33 - 1 = 0, 0 = -3*f + 4*v + 24. Suppose f*l - 5*l = 48. Does 2 divide l?
True
Let b = -10 + 29. Suppose -b = -5*q - 4. Is 2 a factor of q?
False
Let o be 4*((-3)/12)/(1/(-31)). Suppose 20 + o = a. Is a a multiple of 9?
False
Suppose 5*k = 4*y - 191, 4*k = -5*y + k + 248. Suppose 2*r = -4*w + 22, -y = -5*r - 6*w + 2*w. Is 3 a factor of r?
True
Let y be 4 - (1 + -2 - 26). Suppose -w + 2*r = -16, w - y = -0*w - 3*r. Does 11 divide w?
True
Let b = -760 + 1192. Does 48 divide b?
True
Let d(s) = 11*s - 3. Let g(r) = 5*r**3 + 2*r**2 - 2*r + 1. Let k be g(1). Does 9 divide d(k)?
True
Suppose 0 = 2*p + 4*b - 44, 0 = -2*b - 3*b - 5. Is 3 a factor of p?
True
Is 748 - (-9 - (-6 - 1)) a multiple of 14?
False
Suppose -r - 2*r - 31 = 4*d, 0 = -2*r - d - 19. Let z = r - -17. Suppose -y + 7 = b, 3*b = -4*y + 16 + z. Is y even?
False
Let f be 198 + 17 + 0 + (1 - -1). Suppose 5*g - 4*c - f + 81 = 0, -104 = -4*g + 2*c. Is 7 a factor of g?
False
Suppose 20 = -4*q + 5*z, 2*q - 12 = 5*q - 3*z. Suppose q = 6*m - 34 - 182. Does 9 divide m?
True
Let v(p) = -p**3 + 3*p**2 + 2*p + 10. Let s be v(4). Let a = 42 + s. Does 17 divide a?
False
Suppose 11*h + 720 = 15*h. Is 6 a factor of h?
True
Suppose -4*s = 4, 0 = 13*b - 10*b - 5*s - 3365. Does 8 divide b?
True
Let u(m) = 2*m**3 - 20*m**2 + 43*m - 46. Does 12 divide u(14)?
True
Let m be ((-6)/(-8))/(19/76). Suppose 5*a + 11 = 2*i, -3*i = -a - m*a - 27. Does 11 divide i?
False
Suppose -567 = -2*b - 73. Is b a multiple of 5?
False
Suppose -3*n + 258 = s, -6*n + 10*n = 5*s - 1309. Is 29 a factor of s?
True
Let g be 888/84 + (-8)/14. Suppose 2*f - 3*z = f + g, 24 = -4*f - 4*z. Does 28 divide (1 - (-1)/f)*56?
True
Let m be 1/(-5) + (-122)/(-10). Suppose -5*s + 5*y - 3*y = -20, 4*y - m = -3*s. Does 11 divide -6*(-68)/8 + s?
True
Let a be ((-2)/(-4))/(1/654). Let u = -171 + a. Is 13 a factor of u?
True
Let z(f) = 33*f - 4*f**3 + 7*f**3 - 6*f**2 - 4*f**3 + 12 - 3*f**2. Is 16 a factor of z(-12)?
True
Let f = 896 - 636. Suppose 487 + f = 3*x. Suppose 78 - x = -3*k. Is 19 a factor of k?
True
Let i(j) = 16*j**2 + j + 1. Let r be i(2). Let a = r - -53. Is a a multiple of 17?
False
Let d(q) = 3*q**3 + q**2 + 32*q + 70. Does 17 divide d(10)?
False
Let h(n
|
{
"pile_set_name": "DM Mathematics"
}
|
Collect the terms in 242 - 30*i**2 - 136 - 50 + 3*i + 3*i - 6*i - 53.
-30*i**2 + 3
Collect the terms in -78761*p**2 + 156901*p**2 - 78138*p**2.
2*p**2
Collect the terms in -3*w + 2 - 13*w**3 + 10*w - 3 + 4 - 2.
-13*w**3 + 7*w + 1
Collect the terms in -98*o**2 - 1589511708 + 1589511708.
-98*o**2
Collect the terms in -252*p - 35*p**3 + 252*p - 315*p**3 + p**2.
-350*p**3 + p**2
Collect the terms in -979*l + 1526*l + 1745*l + 3692*l + 1 - 1.
5984*l
Collect the terms in -2*l + 4149 - l + 4516 + 0*l + 6*l - 7939.
3*l + 726
Collect the terms in 4673*c + 7436*c - 6055*c.
6054*c
Collect the terms in 832*w + 56 - 192 + 138.
832*w + 2
Collect the terms in -37716*i**2 - 382*i + 382*i.
-37716*i**2
Collect the terms in -53*p**2 + 47 - 153*p**3 - 84*p**2 - 50.
-153*p**3 - 137*p**2 - 3
Collect the terms in -59412*a**2 + 59340*a**2 + 4*a**3 + 0*a**3.
4*a**3 - 72*a**2
Collect the terms in -3194*z - 1 - 1986*z + 1546*z - 1145*z.
-4779*z - 1
Collect the terms in -2372*c - 1532*c - 3969*c - 3466*c - 307*c + 2268*c.
-9378*c
Collect the terms in 9*i - 32*i + 11*i + 12*i + 0*i - 227*i**3 + 222*i**3.
-5*i**3
Collect the terms in 1698*r + 1725*r + 1706*r + 1701*r + 1699*r - 8585*r.
-56*r
Collect the terms in 536*y**2 - 1912*y**2 - 10*y**3 + 533*y**2 + 843*y**2.
-10*y**3
Collect the terms in -4520 + 5*o**2 + 3*o**2 + 1505 + 1507 + 1499.
8*o**2 - 9
Collect the terms in 6983 - 6981 + 876*z - 876*z + 19*z**3.
19*z**3 + 2
Collect the terms in 277 + 325 + 273 - 109*f**2 - 876.
-109*f**2 - 1
Collect the terms in -2011*h + 1003*h + 1006*h + 4266.
-2*h + 4266
Collect the terms in -40*f - 1890 - 257*f - 19*f + 1898.
-316*f + 8
Collect the terms in -122627*d**2 + 2*d - 5*d + 20099*d**2 + d.
-102528*d**2 - 2*d
Collect the terms in -129*x**2 + 308*x**2 - 25*x**2 - 536*x**2.
-382*x**2
Collect the terms in -1393*m + 1393*m + 27326*m**3 + 27315*m**3 - 54666*m**3.
-25*m**3
Collect the terms in -15*o**2 + 6938507 + 6938503 + 4*o - 4*o - 13877010.
-15*o**2
Collect the terms in 41*m**3 - 220954549778 + 220954549778.
41*m**3
Collect the terms in -15*k - 7*k - 17*k + 74*k - 18*k - k - 20*k.
-4*k
Collect the terms in -119 + 442 + 13*k - 904*k + 96.
-891*k + 419
Collect the terms in 30060*q - 60126*q + 30066*q + 433*q**2.
433*q**2
Collect the terms in -464*y - 225*y - 227*y + 917*y.
y
Collect the terms in 1262699*i**3 - 2525386*i**3 - 58*i + 58*i + 1262688*i**3.
i**3
Collect the terms in 11876*c**2 + 40*c**3 - 125*c**3 + 37*c**3 + 33*c**3.
-15*c**3 + 11876*c**2
Collect the terms in 3 - 3 - 15175*y - 20742*y.
-35917*y
Collect the terms in -46*i - 35*i + 125*i - 24*i - 58*i.
-38*i
Collect the terms in 9 + 4081*f**2 - 8170*f**2 - 1 + 4101*f**2 - 3.
12*f**2 + 5
Collect the terms in 17615709*v**3 - 35231210*v**3 + 17615502*v**3.
v**3
Collect the terms in -32 - 19 - 3 + 18 - 25 + 77*x.
77*x - 61
Collect the terms in 1560 + n + 339*n**2 + 1283*n**2 - 1563.
1622*n**2 + n - 3
Collect the terms in -46*i - 52*i + 150*i - 519*i**3 - 52*i + 1845*i**3.
1326*i**3
Collect the terms in 100 + 105 + 185895*m - 205.
185895*m
Collect the terms in -19116*n - 19137*n + 38282*n.
29*n
Collect the terms in -10*n**3 + 8*n**2 - 28*n**2 - 16*n**3 - 15*n**3 + 36*n**3.
-5*n**3 - 20*n**2
Collect the terms in -91*k**3 + 15*k**3 - 81*k**3 - 45*k**3 + 11*k**3.
-191*k**3
Collect the terms in -17671*n**2 - 128987585*n + 17665*n**2 + 128987585*n.
-6*n**2
Collect the terms in -576889*q**3 + 284631*q**3 - 405353*q**3.
-697611*q**3
Collect the terms in -3062*c - 21691*c + 203*c + 393 - 9281*c.
-33831*c + 393
Collect the terms in -7*g + 6 + 11*g - 3*g - 25*g**2 + 26*g**2.
g**2 + g + 6
Collect the terms in 951*s + 1700*s - 2861*s.
-210*s
Collect the terms in -1117 + 379 + 371 + 368 - 6*y.
-6*y + 1
Collect the terms in -139*a + 571*a - 80*a**2 - 135*a - 155*a - 141*a.
-80*a**2 + a
Collect the terms in -97 - 254 - 769*h**3 + 351.
-769*h**3
Collect the terms in -342*y + 73*y + 41 + 142 - 74*y.
-343*y + 183
Collect the terms in -13682*o - 20 + 27498*o - 13743*o - 14.
73*o - 34
Collect the terms in -114356*z**3 - 123582*z**3 - 14422*z**3 - 166886*z**3 + z.
-419246*z**3 + z
Collect the terms in -14*j**2 + 16*j**2 + 5256988*j + 5256981*j - 15770959*j + 5256990*j.
2*j**2
Collect the terms in 397 + 401 + 450 - 1674*n**3 - n**2 - 1247 + n**2.
-1674*n**3 + 1
Collect the terms in -3118456 - 10*z**3 - 217*z**2 - 202*z**2 + 419*z**2 + 3118456 + 12*z**3.
2*z**3
Collect the terms in 674*y**3 + 598*y**3 + 969*y**3.
2241*y**3
Collect the terms in 22*u - 2 - 4 - 50*u + 5 - 108*u.
-136*u - 1
Collect the terms in 22*p - 6*p - 117 - 2425*p**2 - 70 + 187.
-2425*p**2 + 16*p
Collect the terms in 24*l + 495476*l**2 - 9*l - 15*l - 495364*l**2.
112*l**2
Collect the terms in 58*u**2 - 58*u**2 + 1235*u**3 + 894*u**3 - 2576*u**3.
-447*u**3
Collect the terms in -10857 + 10857 - 68*d + 186*d + 54*d**2 - 56*d - 62*d.
54*d**2
Collect the terms in 48*k**2 + 35*k**2 - 7*k**3 - 15*k**2.
-7*k**3 + 68*k**2
Collect the terms in 5874511*f - 3 - 5874499*f + 0.
12*f - 3
Collect the terms in 406 + 534 - 174 - 23*k - 11*k + 36*k.
2*k + 766
Collect the terms in -282210*h**3 - 282926*h**3 + 564146*h**3.
-990*h**3
Collect the terms in 236 - 478 + 242 + 15721*l**3.
15721*l**3
Collect the terms in 1 - 4414386*l + 4413860*l - 1.
-526*l
Collect the terms in -3 - 3791823*g + 4*g**3 - 4*g**2 - 3792068*g + 7583891*g + 3.
4*g**3 - 4*g**2
Collect the terms in 4099513299*l**2 + l - 4099513336*l**2 - 2*l.
-37*l**2 - l
Collect the terms in -97*i - 18*i + 898*i**2 - 452*i**2 - 447*i**2.
-i**2 - 115*i
Collect the terms in 11537*m - 11536*m - 2 + 10 + 2.
m + 10
Collect the terms in 28303*n - 445*n + 25474*n.
53332*n
Collect the terms in 30103*d**2 - 30117*d**2 + 4*d - 4*d.
-14*d**2
Collect the terms in -18 - 25 - 3 - 246*y + 252*y + 67.
6*y + 21
Collect the terms in 24035*p + 24036*p - 96166*p + 24013*p + 23935*p.
-147*p
Collect the terms in 86*g**2 - 30*g**3 - 1683*g**2 - 6 + 0*g + 0*g.
-30*g**3 - 1597*g**2 - 6
Collect the terms in i**2 - 246216*i**3 + 8*i**2 - 9*i**2 - 19316*i**3.
-265532*i**3
Collect the terms in -36*j + 6*j + 6693*j**3 + 3*j + 27*j.
6693*j**3
Collect the terms in 95*b**3 - 85513 - 4*b**3 + 256533 - 85511 - 2*b**2 - 85509.
91*b**3 - 2*b**2
Collect the terms in -3947*p + 2066*p + 1878*p - 125.
-3*p - 125
Collect the terms in -52685*c**2 - 55916*c**2 + 108581*c**2.
-20*c**2
Collect the terms in 718*r**2 - 343 + 173 - 126*r + 127*r + 170.
718*r**2 + r
Collect the terms in 0*m + 186*m - 3*m**3 - 13*m + 43*m.
-3*m**3 + 216*m
Collect the terms in 2 - 2 + 10177907433158*m**2 - 10177907433151*m**2.
7*m**2
Collect the terms in 3038 + 3029 - 3*w**3 - 6108.
-3*w**3 - 41
Collect the terms in -39185 + 13084 + 13025 + 13076 + 4*z.
4*z
Collect the terms in 262*g - 432*g + 75*g + 91*g + 9*g**2.
9*g**2 - 4*g
Collect the terms in 2*v**2 - 188796*v**3 - 188795*v**3 - 2*v**2 + 377602*v**3.
11*v**3
Collect the terms in 1014*r - 856*r + 1275*r - 55*r + 1422*r.
2800*r
Collect the terms in -p**2 + 65 - 33 - 34 + 0*p**2 - 144*p.
-p**2 - 144*p - 2
Collect the terms in -274841*j - 284177*j - 19693*j - 11306*j - 24458*j.
-614475*j
Collect the terms in -4 + 5 - 28790*r + 1 - 3306*r.
-32096*r + 2
Collect the terms in -6295*h**2 + 5062*h**2 - 10271*h**2 - 5054*h**2 + 3.
-16558*h**2 + 3
Collect the terms in -1606*q + 3135*q - 1609*q.
-80*q
Collect the terms in -2090*a + 5 + 702*a - 6 + 701*a + 3 + 688*a.
a + 2
Collect the terms in 9 + 106044559*g**3 - 106044548*g**3 - 9.
11*g**3
Collect the terms in 29712*l - 2314 + 2314.
29712*l
Collect the terms in -52252*l**2 + 25884*l**2 + 26144*l**2.
-224*l**2
Collect the terms in -9796*f + 29782*f - 9802*f - 10174*f.
10*f
Collect the terms in 2*x**3 - 2*x**3 - 2432*x**2 + 2432*x**2 + 1 - 4*x**3 - 10.
-4*x**3 - 9
Collect the terms in 4 + 62*q**2 + 63*q - 4 + 0 - 3.
62*q**2 + 63*q - 3
Collect the terms in 1 - 10786*t**3 - 1 + 23075*t**3 + 13604*t**3.
25893*t**3
Collect the terms in 5*i - 6*i - 5 + 0*i + 6 + 3260*i**2.
3260*i**2 - i + 1
Collect the terms in 141 + 320 - 25 + 237 + 5*z**3.
5*z**3 + 673
Collect the terms in -15588606864*h**2 + 31177213741*h**2 - 15588606867*h**2.
10*h**2
Collect the terms in 5 - 936*m - 13 + 0 + 395*m + 8.
-541*m
Collect the terms in -37917545324*d**2 + 37917545324*d**2 - 88*d**3.
-88*d**3
Collect the terms in -45*c - 74*c + 122*c - 2597
|
{
"pile_set_name": "DM Mathematics"
}
|
3889 or -2/11?
-2/11
Is 273/19 less than 13?
False
Are 116.64 and -2 unequal?
True
Which is smaller: -347 or -354?
-354
Which is smaller: 3047 or 3046?
3046
Which is greater: -123 or -5?
-5
Which is smaller: 9 or 3329?
9
Which is smaller: -10 or -14?
-14
Which is smaller: 1/3 or 2/181?
2/181
Is 4/829 at least 1?
False
Is 9046 bigger than 9042?
True
Which is greater: -216/7 or 0.1?
0.1
Is 3/1058 at most -1?
False
Does -3462 = -3462?
True
Which is bigger: -1/131 or -1?
-1/131
Is 0 at most 36/35?
True
Is 651 > 649?
True
Is 300 <= 1?
False
Is -229 less than or equal to -229?
True
Are 0.334 and -1 non-equal?
True
Does 10641 = 10641?
True
Is 1 >= -2/353?
True
Which is smaller: -1204 or -1206?
-1206
Is -52 <= -1179/23?
True
Which is greater: -5/12 or -0.3?
-0.3
Is -501 greater than -497?
False
Which is smaller: 48 or 95/2?
95/2
Is -8 less than 454?
True
Which is bigger: -270 or -289?
-270
Is -12.9 greater than 265?
False
Which is smaller: 815 or 2446/3?
815
Is -868 less than -5209/6?
False
Which is bigger: -348/13 or -27?
-348/13
Do -10 and -3 have the same value?
False
Which is smaller: -341 or -258?
-341
Which is smaller: 1 or -2/65365?
-2/65365
Is -19.5 greater than -12?
False
Which is smaller: 1/3411 or -1?
-1
Is -356 <= 0.6?
True
Are 1 and -218.6 equal?
False
Is -1 at most as big as -4/285?
True
Which is greater: 17 or 16?
17
Is 7 at most as big as -426?
False
Which is greater: -405 or 3/5?
3/5
Which is greater: -2/213 or -1?
-2/213
Is 1 <= 1/108?
False
Which is greater: 1 or -1/214?
1
Is -28 less than or equal to -1090/39?
True
Is -178 >= -184?
True
Which is smaller: 1/474 or 1?
1/474
Is 50 greater than 22?
True
Which is bigger: 1/1721 or 0?
1/1721
Is -3/230 <= 1?
True
Do -1 and -4/337 have different values?
True
Which is bigger: 47.54 or -0.3?
47.54
Which is smaller: -5/22 or 1?
-5/22
Which is bigger: 2 or -48/5?
2
Which is smaller: -1/3557 or 1?
-1/3557
Is -15 less than or equal to 0.336?
True
Which is smaller: 249 or 0?
0
Are -336 and -341 equal?
False
Which is smaller: -985 or -10842/11?
-10842/11
Is 2 at least 14329?
False
Is 1/4 at most as big as -0.0761?
False
Which is smaller: 160/3 or -17?
-17
Which is bigger: 1 or -2693?
1
Is -0.1 at least as big as 30839?
False
Which is smaller: -60 or -58?
-60
Is 991 smaller than -1?
False
Are 0 and -349 equal?
False
Is 2/7 at most 103?
True
Which is smaller: 211 or -5?
-5
Which is bigger: 23 or 21?
23
Which is greater: 1 or 56/25?
56/25
Which is bigger: -433 or -437?
-433
Which is smaller: 806 or -1/5?
-1/5
Which is bigger: 133/9 or 16?
16
Does 808 = 810?
False
Are -22 and 0.142 non-equal?
True
Is 1 at most as big as 2/5529?
False
Which is greater: 5 or 0.226?
5
Which is bigger: 122 or 118?
122
Which is bigger: 745 or 747?
747
Does -11/35 = -1?
False
Which is greater: 110/3 or 36?
110/3
Is -344 greater than or equal to -343?
False
Does 64 = -2/21?
False
Is 1 less than 2/1191?
False
Which is greater: 0 or 4/233?
4/233
Which is bigger: -1 or -0.08?
-0.08
Which is smaller: 9 or -2/7?
-2/7
Are -2431 and -12156/5 nonequal?
True
Is -1 at most 67/184?
True
Which is smaller: 1 or -1/7867?
-1/7867
Are 116 and 33 non-equal?
True
Which is bigger: 4/5251 or 1?
1
Is 62577 > 62578?
False
Do 22 and 11 have the same value?
False
Which is bigger: 3429 or 3428?
3429
Is -5/11 at least as big as 69?
False
Is 868 less than or equal to 867?
False
Are -529 and -528 nonequal?
True
Are -1 and 8/1019 nonequal?
True
Is -3585 at least as big as -3586?
True
Which is smaller: 0 or 3/2494?
0
Is -0.1352 at least as big as -2?
True
Is 1/2 >= 35?
False
Is 629 at least as big as 629?
True
Is -1 smaller than 9/229?
True
Which is greater: 26 or 21?
26
Is -22 <= 2?
True
Is -2646 at most as big as -2646?
True
Is -72 at least -71?
False
Which is smaller: 263/83 or 4?
263/83
Is -849 less than -849?
False
Which is greater: 1 or 9/1456?
1
Which is greater: 25 or 7?
25
Which is smaller: 5 or -333?
-333
Are 50 and 45 non-equal?
True
Is 2/5 > 86?
False
Which is greater: 23/10 or 3?
3
Which is smaller: 9 or -38?
-38
Is -284 equal to 3?
False
Is 2/839 smaller than 0?
False
Is -1 not equal to -3/340?
True
Which is smaller: 1/244 or -1?
-1
Are -209 and -223 equal?
False
Is 1446/7 != -0.1?
True
Which is bigger: -200/19 or -10?
-10
Which is greater: 789 or -3?
789
Which is greater: 35 or 311/9?
35
Is -40515 at most as big as -40515?
True
Which is smaller: -4.18 or -8/17?
-4.18
Is 130 smaller than 2?
False
Which is greater: 853 or 852?
853
Which is bigger: -125/134 or 0?
0
Which is bigger: -22/73 or 0?
0
Which is greater: -2/7 or -827?
-2/7
Is -3623 >= -1/3?
False
Are 7372/13 and 566 non-equal?
True
Which is greater: 49 or 9?
49
Which is bigger: -27/52 or -1?
-27/52
Which is greater: 0 or -306/37?
0
Are 0 and 7 equal?
False
Which is bigger: 5 or -25?
5
Which is bigger: -13/23 or -1?
-13/23
Is 4 less than or equal to 15/4?
False
Which is smaller: 0.3 or -58?
-58
Is -279 < 0.1?
True
Is 2 > -33?
True
Which is smaller: 28 or -23/3?
-23/3
Is 39 less than 44?
True
Is 5 greater than 98/23?
True
Which is bigger: 51 or 1561/31?
51
Is 0.64 smaller than -1/4?
False
Which is bigger: 8772/7 or 1252?
8772/7
Which is greater: 1 or -5/1042?
1
Which is smaller: 2/1759 or 1?
2/1759
Which is greater: -1 or 1/181?
1/181
Does -2 = -33?
False
Which is bigger: 1346 or 1345?
1346
Which is bigger: 78 or 4?
78
Which is smaller: -87/5 or -18?
-18
Which is smaller: -2269 or -2268?
-2269
Which is smaller: -548 or -547?
-548
Is 999 bigger than 976?
True
Which is greater: 0 or 22/177?
22/177
Which is smaller: -61/15 or -5?
-5
Which is smaller: 22 or 14?
14
Which is smaller: 2 or -307?
-307
Is 913 less than or equal to 912?
False
Is -2 greater than -10/13?
False
Which is greater: 57 or 62?
62
Which is bigger: 155/143 or 1?
155/143
Which is bigger: 52 or -26?
52
Is 136 greater than 273/2?
False
Is -41.7 smaller than 0?
True
Which is bigger: 1234 or 1237?
1237
Which is smaller: -141 or -164?
-164
Which is bigger: 637 or -4?
637
Is -1334 at most as big as -1334?
True
Is -7 not equal to -59?
True
Which is bigger: 125 or 0.019?
125
Are 2/61 and 4 unequal?
True
Which is bigger: -6/5 or -1284?
-6/5
Is -8 at most as big as -14?
False
Is 497 at least 506?
False
Is -147 <= 2?
True
Is -158 >= -157?
False
Which is smaller: 106 or -8?
-8
Is -14 <= -546/41?
True
Is 5/9 bigger than 0.5?
True
Which is smaller: 7311 or 7310?
7310
Which is bigger: -733 or 0.07?
0.07
Does -1 = -60/167?
False
Is -36/7 not equal to -4?
True
Are 1/5 and -162 unequal?
True
Which is smaller: -436 or -0.13?
-436
Which is smaller: -153 or -154?
-154
Is -1 smaller than -1/56407?
True
Is 81 at most as big as 81?
True
Which is smaller: -4 or -184?
-184
Is 1623 equal to 1630?
False
Which is smaller: -6/359 or 0?
-6/359
Which is greater: -5162 or 1?
1
Does 25166 = 25167?
False
Is 151 equal to 154?
False
Which is smaller: 1 or 2/693?
2/693
Which is smaller: -22472 or 1?
-22472
Is -123 bigger than -5?
False
Which is bigger: 0 or 2/48399?
2/48399
Is -4231 greater than -4228?
False
Which is greater: 3/92 or -1/3?
3/92
Is 0 at least as big as 33/1207?
False
Is 1 <= 87/71?
True
Which is bigger: 63 or 68?
68
Which is bigger: -6 or -469/100?
-469/100
Is 7 at most as big as 7?
True
Is 4/11 at most -529?
False
Is 1116 greater than 1114?
True
Is 53/2 at least as big as -1?
True
Is 172 != 515/3?
True
Is 5/12 less than or equal to -1?
False
Which is smaller: 257 or 242?
242
Which is smaller: 9 or -16?
-16
Which is bigger: -1 or 1/20?
1/20
Is -1/3 at least 7.5?
False
Which is smaller: 0 or 2/8305?
0
Which is smaller: 16 or 65/4?
16
Which is bigger: -2 or 29.1?
29.1
Is 0 > 5/154?
False
Is 3/917 smaller than 1?
True
Which is greater: 3 or -90?
3
Which is smaller: -18 or -391/21?
-391/21
Which is greater: -1/2 or 8053?
8053
Are 0.1 and 3052 non-equal?
True
Is 1048 equal to 2097/2?
False
Is 296 at most as big as 295?
False
Which is smaller: -482 or -481?
-482
Is 2 < 36/41?
False
Is -3/365 >= 1?
False
Which is smaller: -1 or -2393?
-2393
Is 10.6 equal to -1?
False
Is -39 greater than 0.08?
False
Which is greater: 0 or -24/65?
0
Which is smaller: -1 or 4/167?
-1
Which is bigger: -310 or -312?
-310
Are -113 and -147 equal?
False
Is 2/85 smaller than 0.4?
True
Which is smaller: 171/8 or 21?
21
Which is smaller: 5065 or 5063?
5063
Do 0 and 2/2499
|
{
"pile_set_name": "DM Mathematics"
}
|
5345/1089 - -7/363. Let d = -23393/6 + 3908. What is the common denominator of a and d?
18
Find the common denominator of 62/21 and (14/21)/(3*22/(-147)).
231
Suppose -7 - 47 = -2*d. Suppose 3*l = 6*l - d. What is the lowest common multiple of l and 11?
99
Let f(u) = -11*u - 1. What is the lowest common multiple of f(-1) and 18?
90
Let w = 124 - 84. Suppose 2*y = -3*h + w, -3*y + 0*h = 3*h - 60. What is the lowest common multiple of y and 22?
220
Suppose l + 5 = 0, 4*l + 34 = 3*n + 5. Suppose -3*w - n*b = 3 - 21, -3*w - 5*b + 24 = 0. What is the least common multiple of 11 and w?
33
Suppose h - 5*h = -4*m - 24, 0 = 5*h - 2*m - 21. What is the least common multiple of h and 24?
24
Let x = -86 + 104. What is the least common multiple of x and 74?
666
Let n = 39 + -25. Suppose -c + n = -0*c + 2*a, -a + 9 = c. Suppose -8 = 2*z + 2*q - c*q, -4*z + 29 = 5*q. What is the smallest common multiple of 1 and z?
1
Suppose -5*u + 5*v + 101 + 59 = 0, 4*v - 52 = -u. Calculate the common denominator of (7/11)/((-9)/u) and -27/5.
55
Suppose 0 = -5*k - 32 - 8. Find the common denominator of (-2 - 0)*(-114)/(-12) and (1 - 0) + (-70)/k.
4
Suppose -3 = -y - 1. Suppose v = 4*o - 0*v - 41, 4*o + 5*v = 11. What is the least common multiple of o and y?
18
Suppose -y = 3*y + 80. What is the lowest common multiple of 4 and 6/(-27) + y/(-9)?
4
Calculate the common denominator of -79/8 and (-21)/9*(-45)/(-93).
248
Calculate the common denominator of 89/16 and 3/6 - 158/(-48).
48
Calculate the least common multiple of 10 and 15/(2 + (-5)/10).
10
Let l = 33 + -19. Let u(t) = 2*t - 6. What is the smallest common multiple of u(7) and l?
56
Calculate the common denominator of 199/140 + (90/14 - 6) and -139/12.
60
Suppose -2*y + 4*y - 40 = 0. What is the lowest common multiple of y and 36?
180
Let j(m) = 4*m + 2. Let q(l) = l - 1. Let b(f) = j(f) + 3*q(f). Calculate the least common multiple of 10 and b(1).
30
Let i = 102 - 27. Suppose 0 = 4*k - 5*g - i, 6*g - 83 = -4*k + 3*g. Calculate the lowest common multiple of 16 and k.
80
Suppose -9 = i - 29. Let c be 4/12 - i/(-3). Let n(u) = u**3 - 6*u**2 - 7*u + 10. Calculate the least common multiple of 10 and n(c).
10
Let d(k) = k**2 - 9*k - 4. What is the least common multiple of d(10) and 8?
24
Let m = 10 + -6. What is the common denominator of 1/8 and 79/6 - 2/m?
24
Suppose -14 = -4*a - 6. What is the lowest common multiple of a*(1/2)/1 and 9?
9
Suppose -4*u - 8 + 48 = 0. Calculate the lowest common multiple of 12 and u.
60
Suppose -2*h - 78 = -4*j - 0*h, 73 = 4*j - 3*h. Let a = j + -12. What is the lowest common multiple of a and 4?
20
Calculate the common denominator of (-22)/(-3)*(-3 + 90/28) and -31/8.
56
Let r = 0 - -10. Let m = 18 + -14. Calculate the least common multiple of m and r.
20
Let o = -8/217 + -4911/2170. Calculate the common denominator of -61/78 and o.
390
Let m = -619 + 3123/5. Calculate the common denominator of 9/(-36) + (-177)/60 and m.
5
Let u = 29 - 9. Let z be ((-3)/(-6))/((-1)/(-6)). Suppose -5*r - 16 = -4*b - 126, -r = 3*b - z. What is the lowest common multiple of r and u?
180
Suppose 0 = b - 21 + 7. Let h = 4 + b. Calculate the lowest common multiple of 22 and h.
198
Let p be (-2)/(-3) - 2/57. Let a = 829/342 + p. Calculate the common denominator of a and ((-76)/(-6))/((-12)/(-45)).
18
Suppose -b + 5*m = 5, 5*b - 3*b + m - 12 = 0. Let c = -8 - -16. Calculate the least common multiple of c and b.
40
Let d = 135 - 400/3. Let c(w) = w + 17. Let u be c(-7). What is the common denominator of (-4)/u - 147/(-55) and d?
33
Calculate the smallest common multiple of (-20 - -23)*(2 - -49)/3 and 9.
153
Suppose 0 = 2*f - 12 - 40. Calculate the least common multiple of 14 and f.
182
Let h = 0 - 0. Suppose -q + 4*q - 66 = h. Calculate the least common multiple of q and ((-20)/(-4) - 6)*-4.
44
Let j = 3 - 11. Let r = -2 - j. Calculate the least common multiple of 10 and r.
30
Suppose 2*v = 28 - 12. Let u(r) be the third derivative of -r**5/60 - r**4/6 - 2*r**2. What is the lowest common multiple of u(-3) and v?
24
Let k(c) = c**2 + 11*c + 10. What is the lowest common multiple of 5 and k(-11)?
10
Let n = 7 + -3. Let c be (-6)/15 - 808/(-20). Suppose -4*o = 5*i + 32 - 93, o - c = -n*i. What is the least common multiple of 2 and i?
18
Suppose 0*y + y = 2*f - 60, -3*y + 172 = 5*f. What is the least common multiple of 28 and f?
224
Let j be (-69996)/(-292)*2/48. Let z = -83/73 - j. Find the common denominator of z and -77/12.
24
Let a = 1 - 1. Suppose 3*c - 2 = 4*c - 3*r, a = 3*c - r - 10. Suppose -c*k + 37 = -51. Calculate the lowest common multiple of 18 and k.
198
Let k = -10843/12 + 907. Calculate the common denominator of 71/22 and k.
132
Let l be (0 - 4181/54)/(-12). Let t = l - -14/81. Calculate the common denominator of t and -61/2.
8
Let d = 10 + -11. Find the common denominator of -115/6 and ((-385)/(-49))/(-1 + d).
42
Suppose -4*j + 5 = 3*v, 3*v = -3*j + 9 - 0. Let g = -2 - -6. Suppose 42 = -g*a + v*a. Calculate the smallest common multiple of a and 8.
56
Suppose -2*d = -19 - 29. Find the common denominator of 3186/72*(-1)/3 and (3 + -241)*(-1)/d.
12
Let z = 1/1015 - -94393/2030. What is the common denominator of 27/4 and z?
4
Suppose 1 = -2*k - 3*v, 2*k + v + v - 4 = 0. Suppose -4*g + 19 - 3 = 0, 3*c - 36 = -3*g. Calculate the least common multiple of c and k.
56
Let n be (-3 - -12)*(-2)/6. What is the common denominator of 19/4 and n/((-198)/21) - -2?
44
Let k(j) = j**3 - j**2 - j + 387. Let x = -2 - -2. Let z be k(x). What is the common denominator of -59/8 and z/24*(-4)/(-12)?
8
Let n = -6729 + 188501/28. What is the common denominator of -25/36 and n?
252
Find the common denominator of (1/6)/((-2)/94) and (-8)/(-24) + (-2)/(-8).
12
Let f = -6 + 8. Let j = -22501/48 - -1411/3. Calculate the common denominator of j and f/4 - 255/(-24).
16
Let d = 27485 + -549589/20. Calculate the common denominator of 109/12 and d.
60
Let v be (2/(-6))/(1/(-9)). Let g = 0 + v. Suppose -4*q + 9 = -g*q. Calculate the lowest common multiple of 1 and q.
9
Suppose 4*v = 4*b - 28, 4*b - 2*v = -b + 23. Suppose 4*k + b*t = k + 27, -3*k + 2*t + 37 = 0. Let p = -1 - -2. Calculate the least common multiple of p and k.
11
Let b = -1023 + 9248/9. Find the common denominator of 40/27 and b.
27
Let c = 228 + -2050/9. What is the common denominator of -23/126 and c?
126
Let q = 4/421 + -40011/1684. Find the common denominator of -23/3 and q.
12
Let i(a) = -5*a**3 + a**2. Calculate the smallest common multiple of 18 and i(-1).
18
Let g(f) = -f + 10. Let z be g(9). Let c(h) = h**2 - 1. Let r be c(z). Suppose -3*x + r*x = -6. What is the least common multiple of x and 5?
10
What is the common denominator of (-55)/(-16) + -3 + 5 and 87/10?
80
Let f = -2942 - -850. What is the common denominator of 137/6 and 4/22 + f/(-352)?
24
Let f(s) = -2*s - 12. Calculate the least common multiple of f(-9) and 14.
42
Let j = 334/57 + -1/38. Find the common denominator of j and -45/34.
102
Find the common denominator of 54/7 and (3/1)/((-9)/70).
21
Suppose -4*b + 4*s - s = -55, -2*b = -2*s - 26. What is the smallest common multiple of 14 and b?
112
Let n(o) = 5*o - 5. Suppose -3*l - 2 = -g, 0 = -g - 0 - 4. Let y = 14 - l. Calculate the smallest common multiple of y and n(5).
80
Let l be 2/(-4) + 8532/(-40). Let r = l + 216. Find the common denominator of -46/9 and r.
45
Let j be 6384/(-20)*(-6)/16. Let u = -120 + j. What is the common denominator of u and (121/8)/(45/20)?
90
Suppose -t = t - 12. Suppose 0 = -4*q - 2*w + 54, -2*q - 2*w = 1 - 23. Suppose 4*g - q = 2*g. Calculate the lowest common multiple of t and g.
24
Let t = 14 - 12. What is the least common multiple of t and 10?
10
Let b = 13 + 11. Calculate the smallest common multiple of 6 and b.
24
What is the common denominator of -58/7 and (-4236)/(-3420) + 2/(-19)?
105
Let o = 218461/18 - 12140. Calculate the common denominator of o and 87/2.
18
Suppose -2*j = 14 + 2. Let n = j + 30. Calculate the least common multiple of 8 and n.
88
Suppose -x + 3 = -0*x. Let z = -10248 + 143555/14. What is the common denominator of -2 + x/((-18)/(-17)) and z?
42
Suppose 0*c + c + 3 = -i, 0 = -2*c - 4*i - 16. Calculate the least common multiple of c and 1.
2
Let l = 10 - -1. Calculate the smallest common multi
|
{
"pile_set_name": "DM Mathematics"
}
|
et w = 19.8 - 20.8. What is the closest to w in -5, 2/13, h?
h
Suppose -3*d - 6 = -4*o + 8*o, 4*o = d + 2. Let k be (d/21)/(-9 + 60/7). What is the closest to 0.1 in -5/11, 1, k?
k
Let x = -42965 + 300757/7. Suppose -3 = -5*t + 7. Suppose 3*b = t*b - 1. What is the nearest to b in -1, 0.5, x?
-1
Let n = -1743/5 + 350. Let z be (-45)/(-36) - -6*(-335)/1800. What is the closest to n in z, 0.1, 0.4?
0.4
Let k = -2470 + 12349/5. What is the closest to 38 in k, 6/5, -4, 3?
3
Suppose 0 = 609*i - 530*i. Let x = 5/6 - 4/3. Let m = -2 - -3. What is the nearest to m in i, x, -2/9?
i
Let c = 246 - 413. Let h = c + 165. Let d = 0.23 + 0.17. What is the nearest to -0.1 in h, -3, d?
d
Let y = 190 - 203. Which is the nearest to -0.3? (a) -3 (b) 7 (c) y
a
Let s be (36/(-16))/((-39)/(-24) - 2). Which is the nearest to 1/4? (a) s (b) -3/8 (c) 1/42
c
Let s = 50510 - 50526. Let r be (-27)/33 + (2 - 1). What is the nearest to -1/3 in s, -2, r?
r
Suppose 3*m + 0*m + 7 = q, -q + 2*m + 5 = 0. Which is the closest to q? (a) -0.4 (b) 0.5 (c) 112 (d) -2
b
Let v = 1182 + -1179. What is the closest to 0 in 1/2, -126, -2, v?
1/2
Let w = 2 - 1. Let g be ((-1)/18)/(15*(-67)/(-12060)). Which is the nearest to w? (a) -0.29 (b) g (c) -0.5
a
Let t = 1574213/121 + -13010. What is the closest to -0.1 in -0.4, t, 2/5?
t
Suppose -14 = 2*w + 5*h + 15, -h - 33 = 2*w. Let v(a) = -2*a - 31. Let o be v(w). Let i be 0 + (o - 35/5). What is the closest to 10 in 1, i, 0?
1
Let y = -198 + 189. Let s be (-8)/(-6)*y/18. What is the closest to -0.1 in s, -1/2, -1/7?
-1/7
Let x = -4.507 + 4.91. Let f = x - -0.097. Which is the nearest to -2/23? (a) -0.2 (b) -2/9 (c) f
a
Let o = -23 - -22.6. Let t = -15.9 - -16.3. What is the closest to 2 in t, -0.5, o?
t
Let n = -141/10 + 137/10. Which is the nearest to 30? (a) 2/11 (b) n (c) 23
c
Let x(r) = r**3 - 9*r**2 - 11*r + 14. Let a be x(10). Let i = 76.3 - 76. Let m = 389 - 389.05. What is the closest to m in a, i, 3?
i
Let f = 1807.7 + -1808.8. Which is the nearest to f? (a) 0.02 (b) -4 (c) 6/11 (d) -4/9
d
Let o = 506/21 + -71/3. Let b = 879/5 - 877/5. What is the closest to b in -0.5, o, 0.04?
o
Let f = -0.03 + 0.13. Let n(p) = -1589*p - 12709. Let u be n(-8). What is the nearest to f in u, 10, 3/4, 2?
3/4
Let t = 2.6 + -2.4. Let j = 2285 + -2284.9. Which is the closest to 0? (a) -3/5 (b) t (c) j
c
Let f = -49 + 49.382. Let n = -0.018 - f. Let g = -6 - -5.5. What is the closest to -1/3 in n, g, -1/8?
n
Let i = 2132.86 - 2132.8. What is the nearest to -0.1 in 0.2, i, -4/13, 5?
i
Let v = 0.302 - 0.702. What is the nearest to 535 in -1, v, -4/7?
v
Let q be (0 + 2)*((-18)/(-12) + -2). Let t = -89.85 - -92. Let p = t + -0.15. Which is the nearest to -2? (a) 0.2 (b) q (c) p
b
Let w = -2160.6 - -2161. Suppose 4*p = -4*h + 24, 3*p = 4*h - 15 - 2. Which is the closest to -4? (a) w (b) 1/9 (c) h
b
Let t = 19 - 18. Let k = -763.2 + 763. What is the closest to t in 60, k, 3?
k
Let k = 13632 + -13635. Which is the nearest to -12? (a) k (b) -2 (c) -2/3 (d) -1/7
a
Let g = 2245.3 - 2245. Which is the closest to 0.1? (a) -6 (b) -5 (c) g
c
Let s = -11.05 + 6.05. Let t = 4.81 + -0.81. What is the closest to 4 in t, s, 5/3?
t
Let h = 7484.05 - 7484. Let g(j) = -j - 3. Let v be g(6). What is the nearest to v in 4, 0.1, h?
h
Suppose 169*c = 333 + 1715 - 189. What is the nearest to -21 in -1, -3/4, c?
-1
Let v(z) = z**2 + 2*z + 4. Let j be v(-2). Suppose 0*o + 292 = 2*b + 2*o, -b + j*o + 136 = 0. Let t be (8/b)/(3/12). What is the nearest to t in 0, -0.02, 0.3?
0.3
Let h = -6.1 - -1.1. Let x be -15*1462/(-5355) - (-6)/(-63). Which is the nearest to -7? (a) x (b) h (c) -2/9
b
Let i = 299.6 - 300. Let u = -2.4 + 2.8. Which is the nearest to 2? (a) i (b) u (c) -0.9
b
Let l(m) = -m**2 + 20*m + 42. Let b be l(22). Let u = -0.2 - 0.1. Let i(r) = -r**3 - 45*r**2 + 46*r + 5. Let v be i(-46). What is the nearest to 0.1 in b, u, v?
u
Let o = 640/7 - 92. Let z be (90/48)/(3/4). Let s = z + -2. Which is the nearest to 5/6? (a) s (b) -1 (c) o
a
Let x be ((-6)/(-12))/(3/48*-2). Let f be (x/(-36))/(1/(-6)). Which is the closest to -1/7? (a) f (b) 1/2 (c) 3/2
a
Let g = 7354 + -7354.2. Let i = 0 + -0.1. What is the nearest to g in i, 0.5, 0.2?
i
Let s = -84277 - -84297. Let y = 4.4 + 0.6. What is the closest to 1 in s, y, 2, 3?
2
Let f = 602/5 + -120. Let z = -115 + 1036/9. Let n = 108.5 - 109. Which is the nearest to 0? (a) n (b) f (c) z
c
Let y be (55 - 47) + (-69)/(-12) + -13. Let k = -0.1 + 0.2. Which is the closest to k? (a) -1/5 (b) 2 (c) 8/15 (d) y
a
Let d = 0.0462 + 4.3338. Let c = d - 0.38. Suppose -l - v - 4*v - 19 = 0, 4*l - 4*v = -28. What is the nearest to -2/5 in -2/11, l, c?
-2/11
Suppose 4*z - 11 = -3*p, p - 52*z = -54*z + 5. Let a = 0.5 - -1.5. What is the closest to p in 9, a, 3?
a
Let o = 12.17 + -0.17. Let j = o - 13. Suppose 7 = -z + 5*v, 4*z - 4*v - 1 = 3. Which is the closest to 0? (a) 4 (b) j (c) z
b
Let b = -4.68 - -4.48. What is the nearest to b in 0.4, 0.1, -10, 0.015?
0.015
Let m = -13102 - -13100. What is the closest to 0 in 0.4, m, 70?
0.4
Let j be (-1 - (2 - 2))*6. Let h(i) = -2*i**3 - 11*i**2 - 27. Let o be h(j). Which is the closest to -0.2? (a) o (b) 4/5 (c) 2/7
c
Suppose 4*f + f + 4*u = -4, 1 = -5*f - u. Let m = -1.3101 - 0.0899. What is the closest to 0.1 in f, -5, m?
f
Let v be 1/((-5)/10 - -1). Let f be (0/2)/(-100 - -101). What is the nearest to 0.2 in f, -46, v, 5?
f
Let i = -15392/7 + 2200. Which is the nearest to 0.1? (a) -3/5 (b) 4 (c) i (d) 3
a
Let y = -3033 + 3032.7. What is the closest to 0.18 in y, -2, 1?
y
Let n = 1/102809 + 205609/925281. Let l = -1 + 1. What is the closest to -5 in -0.4, n, l?
-0.4
Let u = -3 - 2. Let z(p) = -p**2 - 8*p + 19. Let v = 14 + -24. Let g be z(v). What is the nearest to -1 in u, g, 0.2?
g
Let x = 865.8 - 865.8386. What is the nearest to -1/2 in -4, x, 0, -5?
x
Let a be (-8)/(-28) + 5/7. Let v = 1517 + -1517.5. What is the nearest to a in v, -42, 0.5?
0.5
Let h = 4546 + -4543. What is the closest to -1/3 in -5/3, 5, h?
-5/3
Suppose 3*y = -2*y + 10. Suppose 5*w + 31 - 34 = 2*j, 0 = -4*w - 5*j + 9. Which is the closest to w? (a) -4 (b) -12/11 (c) y
c
Let t = 4591/12 - 1147/3. What is the closest to t in 0.6, -2, 1.9?
0.6
Let v = 7 + -6. Let h = 7297 - 7296.9. Let u = -3 + 5. Which is the closest to 2/5? (a) v (b) h (c) u
b
Let a be (1/(-6))/(2/8). Let f = -40225 - -40226. What is the nearest to -0.3 in -0.3, a, f, 4?
-0.3
Let j = -0.01761 - 16.98239. Let z = 0.02 + -2.02. Which is the closest to j? (a) -5 (b) 4 (c) z
a
Suppose -106*w + 68*w + 202 = 164*w. Let y = 4.7 - 5. Let i = y + 0.3. Which is the nearest to w? (a) 1.4 (b) 0.3 (c) i
a
Let p = 201/11 - 391/22. Which is the nearest to p? (a) -0.2 (b) 22.99 (c) -0.4
a
Let v = 5.595 - 5.695. Let d = 2 + -2.08. Which is the closest to 1? (a) v (b) -0.3 (c) d
c
Let z = -61 - -64. Suppose z*p - 8*o + 10 = -3*o, p = -2*o + 4. What is the closest to -2/5 in -1, p, 3?
p
Let t = -0.356 + 0.38. Let j = 0.124 - t. What is the nearest to -1/3 in 0.5, -7, j?
j
Let g = 398 - 398.1. What is the closest to g in -47, -0.07, -0.1?
-0.1
Let q = 7.4 + -7.12. Which is the nearest to 1? (a) -4 (b) 30 (c) q
c
Let d(l) = l - 4. Let w be d(5). Let k = 0.0547 - -0.0453. Let v = -18 - -18. Which is the closest to v? (a) 5 (b) k (c) w
b
Let x = -0.1 + 1.1. Let m be 4/(-8)*(-216)/378. Which is the nearest to x? (a) 13 (b) m (c) 0 (d) -2/5
b
Let n = 6.9602 - 6.8602. Let r be (-1)/(-18)*2*2. Which is the nearest to n? (a) r (b) 5 (c) -0.1 (d) -8
a
Let x = -305/1494 + -3/166. Let h = -9757 - -9753. Which is the closest to 1? (a) h (b) 3/7 (c) x
b
Let s = 161 - 74. Let z = s - 91. Let x = 6.12 + -6. What is the closest to x in 5, 1/6, z?
1/6
Let w(z) = 3*z**2 + 182*z - 83. Let l be w(-57). Let n = l + 711. Let f = 9 + -5. What is the nearest to 3/4 in -3, n, f?
n
Let v = 8983/4 - 2246. What is the closest to 2 in v, -8, 4, 4/3?
4/3
Let l be ((-60)/3)/5 + 4*(-91)/98. What is the nearest to -1 in -3, 1/5, l?
1/5
Let p = -526.065 - -525. Let s = p - -0.065. Let i = 62/3 - 20. What is the closest to s in i, -0.4, -0.07?
-0.4
Suppose 3986*q + 10 = 3976*q. What is the nearest to 0.03 in q, 3, -0.0
|
{
"pile_set_name": "DM Mathematics"
}
|
14}. Give prob of picking 3 r.
1/204
Four letters picked without replacement from {u: 1, g: 1, d: 2, z: 2, b: 2, q: 1}. Give prob of picking 1 b, 1 u, and 2 z.
1/63
Two letters picked without replacement from sssrssrrrssssk. What is prob of picking 1 r and 1 k?
4/91
Calculate prob of picking 1 a, 1 g, and 1 i when three letters picked without replacement from giiigiagigiii.
16/143
Calculate prob of picking 2 d when two letters picked without replacement from kkdkdd.
1/5
Three letters picked without replacement from gyyyggggyggygggyggy. What is prob of picking 1 g and 2 y?
84/323
Four letters picked without replacement from nzcctczzncccnnnz. Give prob of picking 1 c and 3 z.
6/455
What is prob of picking 1 z and 2 d when three letters picked without replacement from zgddd?
3/10
What is prob of picking 2 a when two letters picked without replacement from {z: 1, a: 2, d: 1, r: 1}?
1/10
Two letters picked without replacement from jjfjfcjjjbfjn. Give prob of picking 1 n and 1 c.
1/78
What is prob of picking 1 o, 1 n, and 1 q when three letters picked without replacement from {b: 1, o: 1, q: 2, p: 1, n: 1, w: 1}?
2/35
Two letters picked without replacement from {l: 2, v: 9, x: 1, k: 1}. What is prob of picking 1 v and 1 x?
3/26
Three letters picked without replacement from kqqttqkkkqt. What is prob of picking 2 q and 1 k?
8/55
Four letters picked without replacement from hejffhje. What is prob of picking 1 h, 1 f, 1 j, and 1 e?
8/35
Two letters picked without replacement from cgazcbb. Give prob of picking 2 c.
1/21
Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {u: 2, q: 3}.
3/5
Calculate prob of picking 1 f and 2 k when three letters picked without replacement from adkdkkfkxkd.
2/33
Calculate prob of picking 1 r and 1 f when two letters picked without replacement from frfcftcrefrffrfcff.
4/17
Three letters picked without replacement from {l: 2, y: 5, j: 7}. What is prob of picking 1 y and 2 l?
5/364
Calculate prob of picking 1 b and 1 t when two letters picked without replacement from gmmtb.
1/10
Three letters picked without replacement from gffggaggz. Give prob of picking 2 f and 1 a.
1/84
What is prob of picking 1 v and 1 h when two letters picked without replacement from {v: 1, w: 2, x: 7, h: 4, a: 1}?
4/105
What is prob of picking 1 b and 1 p when two letters picked without replacement from {k: 1, z: 1, p: 3, e: 1, b: 6}?
3/11
What is prob of picking 1 o and 3 e when four letters picked without replacement from {o: 3, e: 4, b: 1, w: 1, z: 5, p: 1}?
4/455
Two letters picked without replacement from qisvqbbqvqsf. What is prob of picking 2 s?
1/66
Two letters picked without replacement from {v: 7, h: 6}. What is prob of picking 2 h?
5/26
Two letters picked without replacement from iiiiiiuiiiuii. Give prob of picking 1 i and 1 u.
11/39
What is prob of picking 3 b and 1 x when four letters picked without replacement from {b: 3, x: 4}?
4/35
Two letters picked without replacement from xiatdrx. Give prob of picking 1 d and 1 i.
1/21
Two letters picked without replacement from {b: 6, v: 12, f: 1}. Give prob of picking 1 b and 1 v.
8/19
What is prob of picking 2 d when two letters picked without replacement from {l: 3, s: 1, d: 5, v: 1, b: 1}?
2/11
Calculate prob of picking 4 v when four letters picked without replacement from {v: 7}.
1
What is prob of picking 3 k and 1 x when four letters picked without replacement from {x: 2, k: 5, j: 7}?
20/1001
Calculate prob of picking 1 w, 1 i, and 1 q when three letters picked without replacement from {q: 2, i: 2, w: 1, d: 1, j: 1}.
4/35
Calculate prob of picking 1 o, 1 p, 1 c, and 1 e when four letters picked without replacement from kkkofkkffockkokkpek.
1/1292
Calculate prob of picking 1 r and 3 e when four letters picked without replacement from {s: 2, r: 4, e: 7}.
28/143
Two letters picked without replacement from vvvvkvvkvvvvv. What is prob of picking 2 k?
1/78
Three letters picked without replacement from {b: 6, r: 12}. What is prob of picking 1 b and 2 r?
33/68
Calculate prob of picking 1 j and 1 x when two letters picked without replacement from jgrabxj.
2/21
Four letters picked without replacement from vvvvvvqvvqvqvvqvvv. Give prob of picking 3 q and 1 v.
14/765
Four letters picked without replacement from {x: 1, p: 7}. Give prob of picking 4 p.
1/2
Four letters picked without replacement from {v: 3, y: 5}. What is prob of picking 3 v and 1 y?
1/14
Four letters picked without replacement from ccwcmkk. Give prob of picking 3 c and 1 w.
1/35
Two letters picked without replacement from ccvxxvcbtctecccbc. What is prob of picking 1 v and 1 e?
1/68
Two letters picked without replacement from {d: 1, p: 1, j: 3}. What is prob of picking 1 d and 1 j?
3/10
Three letters picked without replacement from oppiopbpebpoipoke. Give prob of picking 2 o and 1 e.
3/170
Four letters picked without replacement from xxhxhxxxhxxxxh. What is prob of picking 4 h?
1/1001
Two letters picked without replacement from pqqsjbl. Give prob of picking 1 p and 1 b.
1/21
Two letters picked without replacement from wbwws. What is prob of picking 1 s and 1 w?
3/10
Three letters picked without replacement from xxxxtxxxxxtxxxixx. Give prob of picking 1 i and 2 x.
91/680
Two letters picked without replacement from aadadaadddad. Give prob of picking 2 a.
5/22
What is prob of picking 2 l when two letters picked without replacement from {o: 1, y: 1, c: 1, b: 2, l: 2}?
1/21
Calculate prob of picking 1 f, 1 x, and 1 g when three letters picked without replacement from gfxxfffxf.
5/28
Two letters picked without replacement from {w: 1, b: 2, x: 1, o: 1, v: 2}. Give prob of picking 1 v and 1 b.
4/21
Calculate prob of picking 3 r and 1 e when four letters picked without replacement from reiveervreevee.
1/143
What is prob of picking 1 f and 2 a when three letters picked without replacement from {a: 2, x: 4, f: 3, j: 4, p: 1}?
3/364
Three letters picked without replacement from {p: 2, r: 1, o: 3, x: 1}. What is prob of picking 1 r and 2 p?
1/35
Two letters picked without replacement from {a: 5, b: 2, u: 3, f: 2}. Give prob of picking 1 u and 1 f.
1/11
What is prob of picking 4 x when four letters picked without replacement from {x: 5, y: 5, q: 1, s: 1}?
1/99
Two letters picked without replacement from {g: 1, w: 1, d: 1, i: 2, f: 5}. What is prob of picking 1 g and 1 f?
1/9
Calculate prob of picking 1 h, 1 b, and 1 y when three letters picked without replacement from {h: 3, l: 2, p: 4, b: 3, y: 1, d: 3}.
9/560
What is prob of picking 3 o when three letters picked without replacement from {o: 11, x: 9}?
11/76
Four letters picked without replacement from {x: 6}. What is prob of picking 4 x?
1
Three letters picked without replacement from ddcigirrgciccccgr. What is prob of picking 1 g and 2 d?
3/680
Two letters picked without replacement from {s: 2, b: 10, r: 1, p: 3, c: 2, l: 1}. What is prob of picking 1 l and 1 s?
2/171
Calculate prob of picking 1 z and 1 d when two letters picked without replacement from edzadzddrggg.
4/33
Calculate prob of picking 1 k and 1 n when two letters picked without replacement from dddddnkddddddddd.
1/120
Three letters picked without replacement from {t: 1, m: 1, c: 3, p: 3, u: 5, z: 5}. What is prob of picking 1 p, 1 m, and 1 c?
3/272
What is prob of picking 2 p when two letters picked without replacement from pvggpvpggpppppvp?
3/10
Three letters picked without replacement from tsffppp. Give prob of picking 1 p, 1 s, and 1 t.
3/35
What is prob of picking 2 f when two letters picked without replacement from {b: 4, f: 2, q: 1}?
1/21
Three letters picked without replacement from {j: 19, e: 1}. Give prob of picking 2 e and 1 j.
0
What is prob of picking 2 d and 1 a when three letters picked without replacement from {a: 7, e: 1, d: 2}?
7/120
Calculate prob of picking 2 o when two letters picked without replacement from gsosgssokssssgsgs.
1/136
Three letters picked without replacement from {k: 6, j: 1, e: 3, z: 2, s: 4}. Give prob of picking 2 s and 1 j.
3/280
What is prob of picking 2 g when two letters picked without replacement from {g: 3, q: 2, z: 2, e: 6}?
1/26
Calculate prob of picking 2 g when two letters picked without replacement from {g: 4, n: 6}.
2/15
Calculate prob of picking 3 z
|
{
"pile_set_name": "DM Mathematics"
}
|
ed?
168800
Round -206.413205 to 1 dp.
-206.4
Round 0.000453491231 to six dps.
0.000453
What is -403.23827 rounded to the nearest ten?
-400
What is -533.85075 rounded to the nearest ten?
-530
What is 0.0160742434 rounded to 6 decimal places?
0.016074
Round -0.075837317 to 2 dps.
-0.08
What is -6343200 rounded to the nearest 10000?
-6340000
What is 173060821.1 rounded to the nearest 1000000?
173000000
Round -0.0000420165669 to five dps.
-0.00004
Round -0.001107762747 to 4 dps.
-0.0011
What is 0.00696818183 rounded to five dps?
0.00697
What is 58160.799 rounded to the nearest ten thousand?
60000
Round 1193057.164 to the nearest 10.
1193060
What is 9159.455687 rounded to the nearest 100?
9200
What is -526870.006 rounded to the nearest ten?
-526870
Round -0.0000087902706 to 7 dps.
-0.0000088
Round 3674780965 to the nearest 1000000.
3675000000
What is -0.4665817553 rounded to 5 decimal places?
-0.46658
What is 0.4114366 rounded to 4 decimal places?
0.4114
Round -19762137.1 to the nearest 1000.
-19762000
Round -1491.30008 to the nearest integer.
-1491
What is -847450.0369 rounded to the nearest 1000?
-847000
Round 0.00001009872773 to 6 dps.
0.00001
What is 829.2260901 rounded to two decimal places?
829.23
What is -26014663.68 rounded to the nearest ten thousand?
-26010000
What is -3337313.615 rounded to the nearest one million?
-3000000
What is -237571.8809 rounded to the nearest one thousand?
-238000
What is -3362.88172 rounded to the nearest integer?
-3363
What is -0.0425686267 rounded to 3 dps?
-0.043
What is -4772777.8 rounded to the nearest one hundred thousand?
-4800000
Round 0.112763221 to two dps.
0.11
Round -2.56894985 to two decimal places.
-2.57
What is 0.052110486 rounded to 4 dps?
0.0521
What is -0.060107786 rounded to 3 dps?
-0.06
What is -77404.242 rounded to the nearest 10000?
-80000
What is -0.000008791167 rounded to 7 decimal places?
-0.0000088
What is 7233.0119 rounded to the nearest integer?
7233
What is 21198666 rounded to the nearest ten thousand?
21200000
Round -0.0430412332 to three dps.
-0.043
Round 2.41159831 to three decimal places.
2.412
Round -0.55877376 to 4 dps.
-0.5588
Round -298124.56 to the nearest 10000.
-300000
What is -6.539619239 rounded to 4 decimal places?
-6.5396
Round 0.0000444903781 to 5 decimal places.
0.00004
Round -0.0198045379 to six decimal places.
-0.019805
What is -0.001559819136 rounded to five dps?
-0.00156
Round -2645547276 to the nearest 1000000.
-2646000000
Round 0.329246084 to 2 dps.
0.33
Round -22686.466474 to the nearest integer.
-22686
Round -0.006991016 to 4 decimal places.
-0.007
What is 0.0000038971834 rounded to 7 decimal places?
0.0000039
What is -1702.13237 rounded to the nearest ten?
-1700
Round 33011.3477 to the nearest ten.
33010
What is 0.00004111011458 rounded to 5 dps?
0.00004
Round 6120230.73 to the nearest 10000.
6120000
Round -1653381.15 to the nearest 1000000.
-2000000
What is -0.00000170354692 rounded to 7 dps?
-0.0000017
Round 11605.285484 to the nearest 10.
11610
Round 5229847100 to the nearest 1000000.
5230000000
Round -6597265.34 to the nearest one million.
-7000000
What is 0.0003126286147 rounded to 5 dps?
0.00031
Round -0.143239124 to four dps.
-0.1432
What is 0.00000608295558 rounded to seven dps?
0.0000061
What is 9660.8 rounded to the nearest one hundred?
9700
Round 0.01072289915 to 6 dps.
0.010723
What is -0.00000125520659 rounded to seven dps?
-0.0000013
Round 81407.425 to the nearest ten thousand.
80000
Round -4088505.7 to the nearest one hundred thousand.
-4100000
What is -117991209 rounded to the nearest 100000?
-118000000
Round 0.00005272382188 to seven decimal places.
0.0000527
What is 0.0000003017345589 rounded to 7 dps?
0.0000003
Round -0.0089704722 to 6 decimal places.
-0.00897
Round -12701.45711 to the nearest ten.
-12700
What is -0.62537205 rounded to one decimal place?
-0.6
What is -3.49994633 rounded to one dp?
-3.5
Round 0.0000013862804 to 7 decimal places.
0.0000014
Round -734178.51 to the nearest ten thousand.
-730000
What is 2813500.7 rounded to the nearest 100000?
2800000
What is 1091188640 rounded to the nearest one hundred thousand?
1091200000
Round 0.001075942208 to 6 decimal places.
0.001076
What is 3.008660625 rounded to the nearest integer?
3
What is -2534.76194 rounded to 1 dp?
-2534.8
Round 30261494000 to the nearest 1000000.
30261000000
Round 1191470119.6 to the nearest 100000.
1191500000
Round -0.48514195 to three decimal places.
-0.485
What is 40.17214258 rounded to 1 dp?
40.2
Round -0.0000067249971 to 7 dps.
-0.0000067
What is -6.03854621 rounded to one decimal place?
-6
Round 572724933 to the nearest one million.
573000000
Round 1392441961 to the nearest ten thousand.
1392440000
What is -5060.34631 rounded to the nearest integer?
-5060
Round -0.000001680449805 to seven decimal places.
-0.0000017
Round -11600.26475 to the nearest 1000.
-12000
What is -8457.0284 rounded to 0 decimal places?
-8457
Round -1631.7711 to the nearest one thousand.
-2000
Round 18.57778268 to the nearest integer.
19
Round -370643.4 to the nearest ten thousand.
-370000
Round 0.0000422428432 to six decimal places.
0.000042
What is 2607802.4 rounded to the nearest 10000?
2610000
What is 295.879312 rounded to the nearest 10?
300
What is 0.0989994456 rounded to 4 dps?
0.099
Round 872981390 to the nearest one hundred thousand.
873000000
What is 126.98591956 rounded to the nearest 10?
130
Round 7522869910 to the nearest 1000000.
7523000000
What is 2757101.108 rounded to the nearest 100000?
2800000
Round -2676.9723 to the nearest 100.
-2700
What is -10.65100272 rounded to two dps?
-10.65
What is 14446735.14 rounded to the nearest one million?
14000000
Round -0.003220089246 to 6 decimal places.
-0.00322
Round -0.0149868464 to 6 decimal places.
-0.014987
Round 13303354.3 to the nearest ten thousand.
13300000
Round 101046.39 to the nearest 100.
101000
What is -0.00258025136 rounded to 4 dps?
-0.0026
Round -1.142286512 to 3 dps.
-1.142
What is -0.073993059 rounded to five dps?
-0.07399
What is -96257.623 rounded to the nearest one hundred?
-96300
What is -210159570 rounded to the nearest one million?
-210000000
Round 743.128445 to zero decimal places.
743
Round -0.01356578027 to 7 dps.
-0.0135658
Round 2325.593793 to zero dps.
2326
Round -0.0120543154 to 3 decimal places.
-0.012
Round -4.43673345 to two decimal places.
-4.44
Round 1.34359561 to 1 decimal place.
1.3
Round -0.000034962193 to six dps.
-0.000035
What is -2.911001264 rounded to two dps?
-2.91
Round 0.23383689 to 4 decimal places.
0.2338
What is 3.80599986 rounded to 2 dps?
3.81
What is -0.000008893275927 rounded to 7 dps?
-0.0000089
What is 0.0111962765 rounded to 4 decimal places?
0.0112
Round -6121276.085 to the nearest ten thousand.
-6120000
Round 93382.0299 to the nearest one thousand.
93000
What is 158452786 rounded to the nearest 10000?
158450000
Round 6.6812523 to three dps.
6.681
Round 38921.0639 to the nearest one hundred thousand.
0
Round -0.07607753277 to 6 dps.
-0.076078
Round 6.17746856 to 3 dps.
6.177
What is -0.00039258563 rounded to 4 dps?
-0.0004
Round 36.878386 to 0 dps.
37
Round -2299783.86 to the nearest one million.
-2000000
What is -7.55275254 rounded to one dp?
-7.6
Round -2.787125806 to 0 dps.
-3
Round -0.0076803396 to three decimal places.
-0.008
Round 1.58107512 to three decimal places.
1.581
What is 898.8255427 rounded to 1 decimal place?
898.8
Round 264.14711 to the nearest ten.
260
What is 0.0001006251319 rounded to five decimal places?
0.0001
What is 1101396.83 rounded to the nearest one thousand?
1101000
Round 1.27210749 to 4 decimal places.
1.2721
What is 13036376 rounded to the nearest 1000?
13036000
Round 45456.3292 to the nearest 10.
45460
Round 97073.56 to the nearest 100.
97100
What is -613700540.1 rounded to the nearest ten thousand?
-613700000
What is -8668580.06 rounded to the nearest 100?
-8668600
Round 210148650 to the nearest 1000000.
210000000
Round -8115441.6 to the nearest ten thousand.
-8120000
Round 42851016 to the nearest 10000.
42850000
What is 5218415100 rounded to the nearest one million?
5218000000
What is 1333.342731 rounded to 1 decimal place?
1333.3
Round -10448.3806 to 0 dps.
-10448
Round -8822.335217 to the nearest one thousand.
-9000
Round -46.84147
|
{
"pile_set_name": "DM Mathematics"
}
|
54 a multiple of 8?
False
Is 120 a multiple of 29?
False
Is 3237 a multiple of 14?
False
Does 10 divide 24830?
True
Is 278 a multiple of 56?
False
Is 22 a factor of 792?
True
Does 12 divide 60?
True
Does 22 divide 1166?
True
Does 93 divide 4304?
False
Is 264 a multiple of 12?
True
Is 3 a factor of 333?
True
Is 25 a factor of 3015?
False
Is 11 a factor of 11605?
True
Is 10661 a multiple of 20?
False
Is 146 even?
True
Is 12196 a multiple of 50?
False
Does 115 divide 99599?
False
Is 1069 a multiple of 43?
False
Is 10 a factor of 295?
False
Is 14 a factor of 19628?
True
Does 57 divide 725?
False
Is 32112 a multiple of 152?
False
Is 15925 a multiple of 4?
False
Is 15750 a multiple of 21?
True
Does 42 divide 1764?
True
Does 3 divide 24185?
False
Does 3 divide 45941?
False
Is 7763 a multiple of 74?
False
Does 6 divide 365?
False
Is 5 a factor of 8577?
False
Does 48 divide 1104?
True
Is 16 a factor of 3800?
False
Is 2938 even?
True
Is 15 a factor of 107?
False
Does 2 divide 1843?
False
Is 51776 a multiple of 15?
False
Does 4 divide 17406?
False
Does 45 divide 1350?
True
Is 3632 a multiple of 44?
False
Is 129 a factor of 31089?
True
Is 880 a multiple of 20?
True
Is 31 a factor of 895?
False
Does 21 divide 1388?
False
Is 68296 a multiple of 205?
False
Is 29 a factor of 506?
False
Does 11 divide 627?
True
Does 206 divide 45949?
False
Is 27484 a multiple of 30?
False
Does 14 divide 1117?
False
Is 3 a factor of 160?
False
Is 4 a factor of 317?
False
Is 15 a factor of 45930?
True
Does 10 divide 137?
False
Is 5220 a multiple of 116?
True
Is 1186 a multiple of 18?
False
Is 33 a factor of 8547?
True
Does 6 divide 237?
False
Is 10 a factor of 1862?
False
Is 45 a factor of 421?
False
Is 42 a multiple of 3?
True
Is 287 a multiple of 39?
False
Is 11 a factor of 4180?
True
Is 17871 a multiple of 161?
True
Is 1559 a multiple of 26?
False
Is 1719 a multiple of 9?
True
Does 15 divide 1470?
True
Is 31 a factor of 359?
False
Is 2774 a multiple of 9?
False
Is 14773 a multiple of 252?
False
Is 2141 a multiple of 7?
False
Does 127 divide 2921?
True
Is 30 a factor of 8071?
False
Does 25 divide 1112?
False
Is 10 a factor of 380?
True
Does 249 divide 15530?
False
Is 71899 a multiple of 5?
False
Is 55 a factor of 495?
True
Is 4444 a multiple of 11?
True
Is 147 a multiple of 21?
True
Is 462 a multiple of 66?
True
Does 4 divide 504?
True
Does 10 divide 3240?
True
Is 13 a factor of 41821?
True
Does 32 divide 64?
True
Is 2634 a multiple of 9?
False
Is 591 a multiple of 7?
False
Does 13 divide 84987?
False
Is 24104 a multiple of 8?
True
Does 5 divide 19894?
False
Is 4 a factor of 1021?
False
Is 4766 a multiple of 53?
False
Is 500 a multiple of 25?
True
Is 1288 a multiple of 22?
False
Does 142 divide 16756?
True
Is 9 a factor of 270?
True
Does 28 divide 14000?
True
Does 25 divide 150100?
True
Does 121 divide 173?
False
Does 72 divide 3181?
False
Is 14 a factor of 1959?
False
Does 13 divide 442?
True
Is 22 a factor of 2115?
False
Does 9 divide 1539?
True
Is 137 a factor of 32880?
True
Does 12 divide 1377?
False
Is 8845 a multiple of 29?
True
Is 97 a factor of 548?
False
Is 14 a factor of 93904?
False
Does 71 divide 3621?
True
Is 4 a factor of 157?
False
Does 11 divide 616?
True
Is 52 a factor of 47507?
False
Does 42 divide 13818?
True
Does 41 divide 503?
False
Is 40936 a multiple of 18?
False
Does 44 divide 484?
True
Does 12 divide 456?
True
Is 3523 a multiple of 35?
False
Does 85 divide 2465?
True
Does 28 divide 25536?
True
Is 509 a multiple of 3?
False
Is 616 a multiple of 14?
True
Is 19 a factor of 1174?
False
Does 10 divide 426?
False
Is 270 even?
True
Does 137 divide 2733?
False
Does 51 divide 24988?
False
Is 46 a factor of 843?
False
Is 837 a multiple of 12?
False
Is 16687 a multiple of 37?
True
Is 31 a factor of 167?
False
Is 7973 a multiple of 119?
True
Is 13869 a multiple of 67?
True
Is 132 a factor of 105996?
True
Is 3 a factor of 61?
False
Is 10 a factor of 360?
True
Is 43 a factor of 6407?
True
Does 10 divide 2858?
False
Is 5 a factor of 1118?
False
Is 10134 a multiple of 6?
True
Is 157 a factor of 15700?
True
Does 5 divide 2665?
True
Is 3105 a multiple of 45?
True
Is 11 a factor of 3036?
True
Is 12 a factor of 36?
True
Does 5 divide 150?
True
Is 6 a factor of 122?
False
Does 225 divide 61115?
False
Does 20 divide 228?
False
Is 349 a multiple of 48?
False
Is 26201 a multiple of 48?
False
Is 29 a factor of 2958?
True
Does 57 divide 8920?
False
Does 2 divide 1138?
True
Does 7 divide 917?
True
Is 84 a factor of 252?
True
Is 2416 a multiple of 18?
False
Is 11 a factor of 165?
True
Is 10728 a multiple of 36?
True
Is 3060 a multiple of 30?
True
Is 92 a factor of 19330?
False
Is 773 a multiple of 12?
False
Is 62458 a multiple of 167?
True
Is 1096 a multiple of 21?
False
Is 62 a factor of 31930?
True
Is 24 a factor of 3288?
True
Does 68 divide 226?
False
Is 3 a factor of 4189?
False
Is 16 a factor of 39520?
True
Is 122 a multiple of 6?
False
Is 35 a factor of 3045?
True
Does 12 divide 35592?
True
Is 344 a factor of 35432?
True
Is 920 a multiple of 41?
False
Is 701 a multiple of 9?
False
Does 3 divide 737?
False
Is 43 a factor of 996?
False
Does 9 divide 2075?
False
Is 61 a factor of 19154?
True
Is 82 a factor of 1394?
True
Is 3 a factor of 403?
False
Is 43 a factor of 7862?
False
Is 6542 a multiple of 4?
False
Does 27 divide 2249?
False
Is 10504 a multiple of 26?
True
Is 5102 a multiple of 24?
False
Is 1754 a multiple of 5?
False
Does 56 divide 17987?
False
Does 36 divide 662?
False
Does 133 divide 4010?
False
Is 13 a factor of 637?
True
Does 4 divide 380?
True
Is 834 a multiple of 44?
False
Does 64 divide 20947?
False
Does 10 divide 1878?
False
Is 38 a factor of 123370?
False
Does 66 divide 5245?
False
Is 138 a factor of 828?
True
Is 115 a factor of 116495?
True
Does 50 divide 14900?
True
Is 56 a multiple of 4?
True
Is 25 a factor of 4350?
True
Is 19932 a multiple of 33?
True
Is 67813 a multiple of 50?
False
Does 11 divide 4879?
False
Does 47 divide 735?
False
Does 23 divide 2484?
True
Is 35 a factor of 90591?
False
Does 7 divide 875?
True
Is 10 a factor of 2940?
True
Is 2 a factor of 511?
False
Does 3 divide 83?
False
Is 5350 a multiple of 84?
False
Is 3650 a multiple of 30?
False
Does 22 divide 853?
False
Is 11840 a multiple of 64?
True
Is 163 a factor of 7824?
True
Does 19 divide 437?
True
Is 2364 a multiple of 12?
True
Is 5 a factor of 791?
False
Is 360 a multiple of 60?
True
Is 14 a factor of 1330?
True
Does 5 divide 7757?
False
Is 8120 a multiple of 140?
True
Is 2356 a multiple of 31?
True
Does 9 divide 209?
False
Does 12 divide 39850?
False
Does 10 divide 14940?
True
Is 3 a factor of 212?
False
Does 6 divide 186?
True
Is 59 a factor of 1534?
True
Is 28898 a multiple of 50?
False
Is 22 a factor of 7348?
True
Is 39599 a multiple of 7?
True
Is 3 a factor of 112?
False
Is 429 a multiple of 11?
True
Is 26 a factor of 2470?
True
Is 2126 a multiple of 2?
True
Is 2610 a multiple of 18?
True
Is 19 a factor of 5547?
False
Does 22 divide 11748?
True
Does 17 divide 1003?
True
Is 7239 a multiple of 11?
False
Is 5 a factor of 1067?
False
Does 14 divide 6329?
False
Is 36 a multiple of 36?
True
Is 53 a factor of 307?
False
Does 226 divide 70166?
False
Is 1750 a multiple of 35?
True
Is 26 a factor of 1010?
False
Is 3068 a multiple of 13?
True
Is 15 a factor of 1410?
True
Is 3502 a multiple of 17?
True
Is 9 a factor of 6808?
False
Does 58 divide 81258?
True
Does 11 divide 1540?
True
Does 82 divide 82?
True
Does 56 divide 38330?
False
Is 10 a factor of 510?
True
Is 189 a multiple of 27?
True
Does 80 divide 8023?
False
Does 16 divide 51584?
True
Is 510 a multiple of 22?
False
Is 8 a factor of 4062?
False
Does 11 divide 2013?
True
Does 20 divide 2354?
False
Does 6 divide 7974?
True
Is 1152 a multiple of 48?
True
Is 408 a multiple of 12?
True
Is 96 a factor of 22492?
False
Does 20 divide 1542?
False
Is 79 a factor of 179?
False
Is 168 a factor of 3192?
True
Is 9665 a multiple of 38?
False
Is 11232 a multiple of 78?
True
Is 26 a factor of 27740?
False
Does 11 divide 1386?
True
Is 166 a factor of 71380?
True
Is 10115 a multiple of 18?
False
Is 172 a factor of 18038?
False
Does 54 divide 486?
True
Is 16 a multiple of 7?
False
Does 66 divide 3116?
False
Is 1554 a multiple of 14?
True
Is 317 a
|
{
"pile_set_name": "DM Mathematics"
}
|
)/2632). Let k = v - 127. Is k a composite number?
False
Suppose -6*t - 823 = -5*s - 4*t, -2*s = -t - 330. Suppose 162*y - s*y = -19. Is y composite?
False
Suppose 15461575 = 280*j - 27814790 + 781045. Is j a prime number?
True
Suppose 3*x = -2*s + 9, 32*x = 31*x - 4*s + 3. Suppose 5*c = -3*h + 58551, 13*h - x*c - 39034 = 11*h. Is h a composite number?
True
Is (31827/4 - -14)*4 composite?
False
Let h(b) = 15951*b**2 + 98*b - 492. Is h(5) prime?
False
Let z = -67 + 73. Let w(i) = -i**2 - 3*i - 7. Let o(t) = -3*t**2 - 13*t - 29. Let p(b) = 2*o(b) - 9*w(b). Is p(z) a composite number?
True
Suppose 111*q = 108*q + 323967. Is q composite?
True
Suppose 0 = -4*p - 3*j + 559132 - 31322, -p - j + 131953 = 0. Is p a composite number?
True
Let a(w) be the first derivative of 10/3*w**3 + 1/4*w**4 - 11*w + 9/2*w**2 - 15. Is a(-5) prime?
False
Is (6300/360)/(5/71594) a prime number?
False
Is 6241865/6 + (12 - (-162)/(-12))/(-9) prime?
True
Let t(v) = v**2 - 14*v + 5. Let p be t(14). Suppose p*b + 4 - 14 = 0. Suppose b*o - 377 = 5*y, 5 = 5*y - 0*y. Is o a composite number?
False
Suppose 18041 = s - 94290. Is s prime?
True
Let s be (-2 - 0/4)*(-634)/4. Suppose 0 = -3*r - 0*r + 5*d + 299, -3*r - 4*d + s = 0. Is r a composite number?
False
Suppose 4*m + 4*s = -1680 - 6868, -3*s = 12. Suppose 2*h + h = -4*u + 12, 5*u - 34 = h. Is ((-8)/u)/(18/m) prime?
False
Suppose x - 161457 = 2*d, 4*d = -x + 12482 + 148963. Is x a composite number?
False
Suppose 408*d = 303*d + 81299505. Is d a prime number?
False
Suppose 5*j + 2*q + 37 = -43, -q = -j - 23. Is (-2930)/j - 28/(-126) a prime number?
True
Let q = -7282 - -3248. Let u = 10015 + q. Is u composite?
False
Let m(u) = 535*u + 8. Let b(c) = c**2 + 11*c - 32. Let r be b(-13). Let z be m(r). Let a = z - -7145. Is a a composite number?
False
Suppose 0 = 6*s - 26 + 32. Is (-72921)/(-15) - s/((-15)/6) a prime number?
True
Let a(z) = -569 + 8*z + 19*z + 293. Is a(35) prime?
False
Is 1 - -16503 - (7 - 4) a prime number?
False
Suppose 5*j - 2*i = -158034 + 2230285, -2*i = 3*j - 1243357. Is j a composite number?
False
Let v(a) be the second derivative of -a**3/2 - 10*a**2 + 20*a. Let i be v(-10). Is 1186/3 - i/30 a prime number?
False
Let w be 1/(36/(-42) + 1). Let u(t) = 241*t + 22. Is u(w) a composite number?
False
Let j = -89 - -96. Suppose -6*m + 12233 = j*m. Is m prime?
True
Suppose -3*c - 4*x = -97791, -4*c - 4*x = -3*x - 130375. Let j = c + -19376. Is j a composite number?
False
Let n be (2 + 0 + (-1197)/18)*2. Let a = 820 + n. Is a prime?
True
Let t(s) = s**2 + 8*s + 5. Let d be t(-4). Let w(b) = -b**3 - 2*b**2 - 10*b - 10. Let j be w(d). Suppose -3*u - 4*l = -5*u + 790, -2*l = -3*u + j. Is u prime?
True
Let t be 999/72 + -12 - (-1)/8. Suppose 4*j - 18*c = -17*c + 44412, 4*j - 44412 = -t*c. Is j composite?
True
Let h(j) be the third derivative of 109*j**6/60 + j**5/20 - 5*j**4/24 + 4*j**3/3 + 2*j**2 - 1. Is h(2) composite?
True
Let r(u) = -30*u - 35. Let v = -62 - -49. Let z be r(v). Suppose -5*y = -5*m + z, -4*y = 3*m - 0*y - 213. Is m a composite number?
False
Suppose -2*q + 2 = 0, -4*b + 50*q + 298128 = 46*q. Is b a prime number?
False
Let x(w) = 2329*w**3 + 5*w**2 + 45*w - 151. Is x(6) a composite number?
True
Suppose -6946 = -6*c + 4*c. Suppose c = -4*z + 881. Let s = 1751 + z. Is s prime?
True
Suppose 9*m + 6 = 12*m. Let w be -50*(8/(-10))/m. Is w/5 - -143 - -2 a prime number?
True
Let h(b) = 683*b + 5646. Is h(7) a prime number?
True
Let j be (-6 + 6)*(-1)/(-3). Suppose -t + 49 + 317 = j. Let k = t - 207. Is k a prime number?
False
Let u be (-6)/(-2)*(-4 + 2 + 61). Let v = 1096 - u. Is v composite?
False
Let j(a) be the first derivative of 317*a**4/4 - 10*a**3/3 + 5*a**2/2 - 3*a - 159. Is j(2) prime?
True
Let j(z) = z**2 + 67. Let t = 12 - 8. Let m be 1/4*t + -1. Is j(m) prime?
True
Suppose 24690531 - 172099492 = -193*i. Is i prime?
False
Let g = -6008 + 2417. Is (0 + (-332)/(-6))/((-126)/g) a composite number?
True
Let i(q) = 18*q**3 + 7*q**2 - 23*q + 8. Let f(m) = -10*m**3 - 4*m**2 + 11*m - 4. Let d(x) = -7*f(x) - 3*i(x). Is d(7) prime?
True
Suppose -i = 11*s - 6*s - 150060, 5*s + 4*i - 150075 = 0. Is s prime?
True
Suppose 4*f - 357 - 119323 = -4*l, -5*f + 149604 = l. Is f a composite number?
False
Suppose -9161 = -s - 0*a - 4*a, -3*a = 5*s - 45822. Suppose 919 + s = 4*h. Is h a composite number?
False
Let l(m) = 2126*m**2 + 163*m - 1073. Is l(7) a composite number?
True
Suppose 3*z = -3*i - 2*z + 8, -2*i + 22 = -5*z. Suppose 0 = -4*w + w - 2*o + i, 0 = 3*w - 5*o + 15. Suppose w = 2*h - 461 + 103. Is h a composite number?
False
Suppose 66*f + 128572604 = 147*f + 275*f. Is f prime?
True
Let u be (20/(-30))/(-2*1/(-36)). Let f = u + 15. Suppose 0 = g + 5*d - 60, f*g - d - 80 = 4*d. Is g a prime number?
False
Suppose -9*l + 32*l - 69 = 0. Suppose l*w = -2*f + 52618, 5*f = -0*w - 2*w + 131545. Is f prime?
True
Let l be 1 - (1664/(-160))/((-2)/(-5)). Let d(x) = x**3 - 15*x**2 - 27*x + 50. Is d(l) a composite number?
False
Let s = -214 + 196. Let g(h) = 11*h**2 + 17*h + 35. Is g(s) composite?
True
Let v be (-12)/(-2) + -11 + 9. Let b = -3 + v. Is 9985/20 - b/4 a prime number?
True
Let c = -335 - -337. Let h be 8*(45/12)/5. Is c/(h/(-15))*28/(-4) a prime number?
False
Let y(o) = 864*o - 245. Is y(96) composite?
False
Let y(l) = -l**3 + 8*l**2 - 5*l - 1. Suppose -2*s + 5*a = -5*s - 26, s - 2*a - 6 = 0. Let d be (3/(-2) - s)*(-11 + -3). Is y(d) a prime number?
True
Let l be (0 + -1)/((-5)/15). Let s = 5 - 3. Suppose 5*p = -4*i + 4473, 0*p - 2237 = -s*i - l*p. Is i a prime number?
True
Let w(x) = -x**2 + 5*x + 86. Let i be w(-7). Suppose 0 = -3*p + p. Suppose p = 5*o - i*t - 6885, 5*o - t - 2*t - 6880 = 0. Is o a composite number?
True
Is 20 + (-143)/13 + 679228 a composite number?
True
Suppose 2*l + 4*g - 2 = 3*l, 0 = -2*l - 2*g + 6. Suppose -5*h - 3*u - 287 = -2133, l*h - 5*u = 726. Let n = h - 211. Is n a prime number?
True
Suppose 0 = 3*s - 5*s + 3*z - 2280, 0 = -3*s + z - 3427. Is 1*(s + 4)*(-2)/2 composite?
True
Suppose 10*j = 3 + 27. Suppose -194 = j*l - 1631. Is l composite?
False
Let o(k) = -82*k - 1. Suppose 2*t + 4*s - s - 13 = 0, 17 = 3*t + 4*s. Let v be ((12/(-8))/t)/(3/(-10)). Is o(v) prime?
True
Let w be ((-12)/18)/2 + 286/3. Suppose 4*c + w = 9*c. Suppose v - 180 + c = 0. Is v a composite number?
True
Suppose -10*u - 39 = -99. Suppose -d + 4*f + u = -0*d, -5*d + f = -106. Is 23815/d - 1/2 prime?
False
Let n be -1 + ((-14)/(-4))/(3/6). Suppose -60 - 48 = n*b. Is (1172/12)/((-2)/b) a prime number?
False
Let v(b) = 56 + 26*b + 22*b - 30 - 17*b. Let h(f) = 16*f + 13. Let s(m) = -5*h(m) + 3*v(m). Is s(6) composite?
True
Suppose -m = 4*u - 1766, 3*m - 8773 = -2*m - u. Is m a composite number?
True
Is 66316 - (-1 - (-10 + 12)) a prime number?
False
Suppose -36*o = -37*o + 23882. Suppose -11*z + 6137 + o = 0. Is z composite?
False
Let u(a) = 2*a**3 - 94*a**2 - 27*a - 12. Let g(z) = -z**3 + 4*z**2 + z + 1. Let s(l) = -g(l) + u(l). Is s(34) prime?
True
Let h(q) = -q**3 - 3*q**2 + 6*q + 10. Let c be h(-4). Suppose -15188 = -c*u + 4106. Is u a composite number?
True
Let t = -1307 + 2003. Let n = t - -2245. Is n prime?
False
Let h(q) = -76 - 240*q + 160*q + 207*q - 62. Is h(8) a prime number?
False
Let z = 86284 - -115569. Is z a prime number?
False
Suppose -2*s + 4*t = -256, 2*s + 3*t = 255 + 29. Suppose -141*h = -s*h - 29905. Is h a prime number?
True
Let n(p) = -322*p + 37. Let v be n(-6). Let b = 844 + v. Is b a composite number?
True
Let s(i) = -55*i**3 + 24*i**2 + 4*i - 26. Is s(-13) composite?
True
Suppose 36371787 = 177*q - 144001656. Is q a composite number?
False
Let s(j) = 206*j**2 - 12*j + 11. Let a be s(7). Let z = a - 5864. Suppose 3*r = 4*q - z, 3*q = 5*r + 4134 - 1008. Is q prime?
False
Let m = -853 + 2803. Is m + (-1 - 2/(1 - 2)) prime?
True
Let j = -85 - -87. Let f be (-727 + 1 + j)*-8. Suppose -2615 - f = -7*l. Is l a prime number?
True
Let u = 322 + -326. Let r(g) = 7 - 86*g - 32*g - 96*g. Is r(u) composite?
False
Let q(d) = 9*d + 9 + 4*d**3 - 3*d**3 - 5*d**3 - d**2 + 2*d**3. Let p(g) = g**3 + 2*g**2 - 8*g - 8. Let z(y) = 5*p(y) + 4*q(y). Is z(-5) a prime number?
True
Suppose -4*z + 9572750 = -147*y + 152*y, 9572736 = 4*z - 2*y. Is z composite?
True
Let a(g) = -g**3 - 10*g**2 - 10*g - 73. Let
|
{
"pile_set_name": "DM Mathematics"
}
|
/2?
-27/2
Does 8620 = 8621?
False
Is 7 less than or equal to -0.26?
False
Is -233 smaller than -233?
False
Is 73 equal to 73?
True
Which is bigger: -77/10 or -7?
-7
Which is bigger: -0.426 or 0?
0
Is 147 bigger than 134?
True
Is 0 greater than -1/103?
True
Which is smaller: 6939 or 6942?
6939
Which is smaller: -45 or 0?
-45
Is 2/5 smaller than 377?
True
Which is smaller: 2555 or 7669/3?
2555
Is -15 at most -160/11?
True
Is 1/596 less than -1?
False
Which is smaller: 124 or 122?
122
Which is smaller: -45 or -51?
-51
Are 0 and 9863 equal?
False
Is -1316 < -17094/13?
True
Which is greater: 15/13 or 2?
2
Is -1 less than 1/2817?
True
Which is bigger: 0.16 or 3.66?
3.66
Is 1 <= 3/86?
False
Is 3884 greater than 3883?
True
Is -696 at most as big as -694?
True
Is -286 greater than -3160/11?
True
Is 0.1 >= -12.7?
True
Which is bigger: 2/5345 or 1?
1
Which is smaller: 204 or 1016/5?
1016/5
Which is bigger: -0.2 or -0.27?
-0.2
Which is greater: 128 or 127?
128
Which is greater: 1 or -1/197?
1
Which is smaller: 20 or 22?
20
Are -1170 and -1173 equal?
False
Which is smaller: 371/4 or 94?
371/4
Is -28 equal to -1/108?
False
Is 63 less than 62?
False
Is 1 < -2/269?
False
Which is smaller: -10/91 or 1?
-10/91
Does 0.168 = 6/5?
False
Which is smaller: -1/2701 or 0?
-1/2701
Is 184/59 at most as big as 2?
False
Which is smaller: -0.3 or 109?
-0.3
Which is smaller: 0 or -8/2281?
-8/2281
Which is greater: 63 or -3/79?
63
Which is bigger: 0 or -2/555?
0
Which is smaller: 0 or -7/20?
-7/20
Which is bigger: -1 or 7/559?
7/559
Is 806 >= -2.1?
True
Is 1635 <= 1635?
True
Which is smaller: -311 or 1?
-311
Which is smaller: -66/25 or -2?
-66/25
Which is smaller: -340/63 or -4?
-340/63
Which is bigger: 1.6 or -4?
1.6
Which is smaller: -1581 or -1580?
-1581
Which is greater: -3/76 or 1?
1
Is 637 bigger than 640?
False
Is 192 greater than 171?
True
Which is smaller: 0 or -1/6548?
-1/6548
Is 33/92 at least 0.06?
True
Is -33 >= -6?
False
Which is bigger: 4466/9 or 497?
497
Which is smaller: -5509/5 or -1103?
-1103
Which is greater: -50/71 or -2?
-50/71
Which is smaller: -2024/5 or -404?
-2024/5
Which is smaller: 892/25 or 35?
35
Is -10 at most 0?
True
Which is smaller: 2 or 1.7?
1.7
Is 10 <= 1?
False
Is -318/313 at most 0?
True
Are 4556 and 4556 nonequal?
False
Are 38 and -180 unequal?
True
Which is smaller: -52/213 or 1?
-52/213
Is -38 smaller than -97?
False
Do 1.59 and -6 have different values?
True
Which is greater: 1/4204 or -1?
1/4204
Which is bigger: -1119 or -1118?
-1118
Is -1 smaller than 1.94?
True
Is 0 >= 223?
False
Are 0.18 and 0.3 non-equal?
True
Which is smaller: 9 or -70?
-70
Which is greater: -171 or -173?
-171
Are 4443 and 4445 non-equal?
True
Which is smaller: 907 or 906?
906
Is -692 bigger than -690?
False
Is -121 smaller than -44?
True
Which is greater: 0 or 18/13?
18/13
Which is smaller: 159 or 476/3?
476/3
Which is greater: -10 or 9?
9
Which is smaller: 161 or -6?
-6
Which is smaller: -4795/4 or -1200?
-1200
Which is smaller: 1301 or 1?
1
Which is greater: -2880/7 or -1/4?
-1/4
Is -1399 greater than -1400?
True
Which is smaller: 17/347 or 1?
17/347
Which is greater: -25/2 or 53?
53
Is 1 bigger than 2/15?
True
Is 155 at least as big as 1090/7?
False
Is 1 <= -1/3950?
False
Which is bigger: -160 or -168?
-160
Which is greater: 165 or 178?
178
Which is smaller: -15/38 or -1?
-1
Which is smaller: 5/286 or 1?
5/286
Is 52/447 smaller than -1?
False
Which is bigger: -2/459 or 0?
0
Which is bigger: -11452 or -11453?
-11452
Is -1314/17 greater than -78?
True
Are -1 and -9/266 nonequal?
True
Is 0 smaller than 8/249?
True
Which is bigger: 2/5 or 0?
2/5
Which is bigger: 1 or 13/10?
13/10
Which is greater: -0.19 or 10/31?
10/31
Do 677 and 677 have the same value?
True
Which is greater: 397 or 398?
398
Is 3/34 at least as big as -0.22?
True
Which is smaller: -44/179 or -1?
-1
Is -0.01 bigger than 0?
False
Is 2160/17 greater than 126?
True
Which is greater: -80 or -77?
-77
Which is smaller: 60 or -2/9?
-2/9
Which is bigger: -30 or 66/5?
66/5
Which is smaller: 295 or 24?
24
Is 238 > 230?
True
Which is greater: -1068 or -3202/3?
-3202/3
Which is greater: 1 or 585/281?
585/281
Is 0.04 bigger than -0.36?
True
Is 4278 at least as big as 4276?
True
Are -7.5 and -0.1 non-equal?
True
Do -54 and -48 have different values?
True
Which is smaller: -54 or -55?
-55
Which is smaller: 4/5 or 17?
4/5
Is 263 != 266?
True
Which is smaller: 13/12 or 0?
0
Which is smaller: 88 or 76?
76
Does 179 = 0.04?
False
Which is greater: -178 or -161?
-161
Which is greater: -1507 or -1504?
-1504
Which is greater: 166/5 or -4?
166/5
Which is bigger: 1 or 248?
248
Which is smaller: 169 or 5?
5
Which is smaller: -1/3 or 39?
-1/3
Is -335 > -333?
False
Which is bigger: -3/73 or 1?
1
Are 129 and 127 nonequal?
True
Which is smaller: 0.4 or -69?
-69
Which is greater: 6977 or 34883/5?
6977
Is 229 at most -1?
False
Which is bigger: -1/10 or -1?
-1/10
Are -2/7 and -113 equal?
False
Is -181 not equal to -183?
True
Which is bigger: 0.2 or 71?
71
Is 5 smaller than 16?
True
Do -266 and -7 have the same value?
False
Is 69/65 > 0?
True
Which is bigger: 5636 or 5637?
5637
Are -402 and -2808/7 unequal?
True
Which is greater: -1993 or -13952/7?
-1993
Do 0 and 4/295 have the same value?
False
Is 2 greater than or equal to 280?
False
Is 64 <= -0.014?
False
Which is greater: 46 or -16?
46
Is -10/313 != 1?
True
Does 2 = 168/83?
False
Do -1/1159 and 0 have the same value?
False
Is 234 bigger than 234?
False
Is 3 bigger than -1500?
True
Which is bigger: -66 or -65?
-65
Which is greater: -93 or -1218/13?
-93
Which is smaller: 2.49 or -7/4?
-7/4
Which is smaller: -5 or 366?
-5
Is -24 at least -189/8?
False
Which is greater: -173 or -171?
-171
Is 148 less than or equal to 736/5?
False
Which is greater: 176/9 or 20?
20
Which is smaller: -211 or -7?
-211
Is 761 greater than 754?
True
Which is greater: 1 or -30/203?
1
Which is smaller: -26 or -278/11?
-26
Is 78 > 1/31?
True
Which is bigger: 1 or -2/527?
1
Are -1 and -6/89 nonequal?
True
Is -1 > 20.2?
False
Which is smaller: 182 or 183?
182
Which is bigger: -914 or -913?
-913
Which is greater: -25 or -0.01?
-0.01
Which is bigger: 349 or 351?
351
Which is smaller: 15/8 or 25?
15/8
Which is bigger: -1408/5 or -282?
-1408/5
Does 3064 = 3065?
False
Which is greater: -7/1545 or 0?
0
Which is smaller: 0 or -2/937?
-2/937
Are 4212/5 and 843 equal?
False
Are -17 and 38 non-equal?
True
Which is smaller: 20 or 58/3?
58/3
Is -644 < -644?
False
Does -2 = -105?
False
Which is smaller: 0 or -0.57?
-0.57
Which is bigger: -83 or -86?
-83
Which is bigger: -29/13 or -1?
-1
Which is smaller: -31 or -33?
-33
Is 443 bigger than 3/4?
True
Is -8.24 at most 12?
True
Is -531 equal to -532?
False
Which is bigger: 10 or 105/11?
10
Is 1263 less than or equal to 1266?
True
Is -125 at most -127?
False
Is -79 >= -883/11?
True
Is 0 != 208.5?
True
Which is smaller: -2.019 or 1/3?
-2.019
Do -5 and 1/3 have the same value?
False
Which is greater: -4507 or -4509?
-4507
Which is smaller: 4647 or 4648?
4647
Is 365 at most as big as 365?
True
Which is smaller: -14 or -0.26?
-14
Is -161 <= 3/11?
True
Is 837 at least -2/3?
True
Which is bigger: -46 or 234?
234
Are 23493 and -1 non-equal?
True
Is 54 != 64?
True
Is 1623 less than 1625?
True
Which is smaller: 481 or 480?
480
Which is bigger: -16 or -1?
-1
Is -7938 <= 2/5?
True
Is -234 at most as big as 0.04?
True
Is 0 greater than or equal to -93?
True
Is 139 smaller than 139?
False
Is -2 at most 3/223?
True
Which is greater: 3/79 or -1?
3/79
Is 2 smaller than 97/168?
False
Which is greater: 747 or 748?
748
Is -2177 less than -2176?
True
Is -686 greater than or equal to -692?
True
Which is smaller: 14753 or 14752?
14752
Is 1 > 10/79?
True
Is 9807 at least as big as 9805?
True
Are -406 and -405 equal?
False
Which is smaller: -3228 or -3229?
-3229
Is 353 not equal to 352?
True
Is 2 > 140?
False
Which is smaller: 2/9743 or 1?
2/9743
Which is smaller: -2/37 or 31?
-2/37
Does 0.2 = -98.1?
False
Which is smaller: -114 or 0.1?
-114
Which is smaller: 2190 or 2186?
2186
Is 151/2 < -2?
False
Which is smaller: 1 or 4169?
1
Which is smaller: -6489 or -1?
-6489
Is 1/4 > -6416?
True
Is 604 <= 604?
True
Which is smaller: 0 or 15/244?
0
Is -1289 less than -1284?
True
Is -268 greater than or
|
{
"pile_set_name": "DM Mathematics"
}
|
1289 a multiple of 7?
False
Does 16 divide 37777?
False
Does 29 divide 4321?
True
Does 41 divide 6109?
True
Is 7052 a multiple of 41?
True
Does 4 divide 388?
True
Is 833 a multiple of 49?
True
Is 21191 a multiple of 26?
False
Is 4473 a multiple of 10?
False
Is 14972 a multiple of 94?
False
Is 397 a factor of 54933?
False
Does 86 divide 59340?
True
Is 70 a factor of 9335?
False
Is 25 a factor of 56427?
False
Is 5426 a multiple of 62?
False
Is 3 a factor of 3316?
False
Is 33 a factor of 1650?
True
Is 16 a factor of 15584?
True
Does 123 divide 3589?
False
Does 59 divide 59?
True
Is 5037 a multiple of 23?
True
Is 1890 a multiple of 54?
True
Is 74 a factor of 40182?
True
Is 12 a factor of 858?
False
Is 161 a factor of 28479?
False
Is 47 a factor of 12455?
True
Does 13 divide 754?
True
Does 22 divide 1487?
False
Is 16 a factor of 3585?
False
Does 12 divide 300?
True
Is 22 a factor of 1210?
True
Does 6 divide 74263?
False
Does 21 divide 4494?
True
Is 15120 a multiple of 35?
True
Is 3562 a multiple of 137?
True
Is 28 a factor of 5946?
False
Is 12 a factor of 192?
True
Is 2568 a multiple of 24?
True
Does 122 divide 4148?
True
Is 1812 a multiple of 16?
False
Is 33 a factor of 1551?
True
Does 41 divide 3247?
False
Is 468 a multiple of 78?
True
Is 13 a factor of 10915?
False
Is 19691 a multiple of 61?
False
Is 1983 a multiple of 3?
True
Is 172 a multiple of 4?
True
Is 16 a factor of 36586?
False
Is 13929 a multiple of 144?
False
Does 208 divide 5616?
True
Does 165 divide 33591?
False
Is 48003 a multiple of 116?
False
Is 43549 a multiple of 37?
True
Does 14 divide 13454?
True
Is 15 a factor of 11349?
False
Is 784 a multiple of 49?
True
Is 411 a multiple of 8?
False
Does 105 divide 525?
True
Is 16 a factor of 41?
False
Does 36 divide 18278?
False
Is 6822 a multiple of 9?
True
Is 174 a multiple of 13?
False
Is 1462 a multiple of 43?
True
Is 665 a multiple of 25?
False
Is 23 a factor of 6969?
True
Does 12 divide 120?
True
Does 11 divide 1846?
False
Does 339 divide 107463?
True
Does 102 divide 6732?
True
Is 10099 a multiple of 54?
False
Is 7 a factor of 1057?
True
Is 20 a factor of 352?
False
Is 59 a factor of 11269?
True
Is 13 a factor of 405?
False
Does 3 divide 181?
False
Does 168 divide 7914?
False
Is 28 a multiple of 14?
True
Does 210 divide 58590?
True
Is 875 a multiple of 25?
True
Does 7 divide 1155?
True
Does 149 divide 3541?
False
Does 27 divide 10179?
True
Does 3 divide 1497?
True
Is 789 a multiple of 29?
False
Is 1040 a multiple of 52?
True
Is 8 a factor of 457?
False
Does 100 divide 2865?
False
Is 22 a factor of 26906?
True
Is 3080 a multiple of 10?
True
Is 98 a factor of 17337?
False
Does 16 divide 32?
True
Is 660 a multiple of 44?
True
Does 20 divide 2808?
False
Is 2703 a multiple of 13?
False
Is 43 a factor of 99569?
False
Does 44 divide 2772?
True
Does 92 divide 10872?
False
Does 22 divide 11833?
False
Does 6 divide 6312?
True
Does 370 divide 52540?
True
Is 1775 a multiple of 69?
False
Is 11900 a multiple of 238?
True
Is 280 a multiple of 40?
True
Does 54 divide 458?
False
Is 4600 a multiple of 5?
True
Does 13 divide 2890?
False
Does 14 divide 420?
True
Does 95 divide 465?
False
Does 49 divide 1862?
True
Is 23 a factor of 1679?
True
Is 25 a factor of 20325?
True
Is 110 a factor of 2971?
False
Is 32 a factor of 731?
False
Is 41 a factor of 4223?
True
Does 62 divide 2356?
True
Does 46 divide 552?
True
Does 58 divide 2558?
False
Does 11 divide 56588?
False
Is 56 a factor of 1778?
False
Is 4760 a multiple of 14?
True
Does 7 divide 41090?
True
Does 11 divide 1709?
False
Is 85 a factor of 20064?
False
Does 23 divide 289?
False
Is 55 a factor of 685?
False
Does 61 divide 8601?
True
Is 18549 a multiple of 27?
True
Does 4 divide 2020?
True
Is 10710 a multiple of 42?
True
Is 31 a factor of 4154?
True
Does 63 divide 365?
False
Does 18 divide 1030?
False
Is 3 a factor of 125?
False
Does 4 divide 2594?
False
Does 36 divide 65049?
False
Does 19 divide 21152?
False
Is 7515 a multiple of 10?
False
Is 1430 a multiple of 16?
False
Does 31 divide 1814?
False
Does 78 divide 2405?
False
Is 365 a factor of 13227?
False
Does 44 divide 1014?
False
Is 2 a factor of 107?
False
Does 42 divide 1932?
True
Is 14 a factor of 393?
False
Is 79 a factor of 31284?
True
Is 77 a factor of 25492?
False
Is 9 a factor of 891?
True
Is 804 a multiple of 12?
True
Is 20 a factor of 5420?
True
Is 189 a multiple of 2?
False
Is 10 a factor of 20?
True
Is 1450 a multiple of 50?
True
Does 52 divide 6557?
False
Is 15 a factor of 29235?
True
Is 26 a factor of 6855?
False
Is 61 a factor of 976?
True
Is 3455 a multiple of 14?
False
Is 934 a multiple of 60?
False
Is 28 a factor of 644?
True
Is 334 a multiple of 150?
False
Is 880 a multiple of 11?
True
Does 2 divide 3258?
True
Does 107 divide 2675?
True
Is 59900 a multiple of 10?
True
Is 47 a factor of 19834?
True
Does 37 divide 72193?
False
Does 35 divide 3148?
False
Is 19 a factor of 86?
False
Does 24 divide 3504?
True
Does 30 divide 34021?
False
Is 1080 a multiple of 30?
True
Is 105 a multiple of 15?
True
Is 210 a multiple of 10?
True
Is 9204 a multiple of 24?
False
Is 2590 a multiple of 21?
False
Is 48804 a multiple of 23?
False
Is 26 a factor of 158924?
False
Is 1555 a multiple of 70?
False
Is 311 a multiple of 20?
False
Is 4 a factor of 414?
False
Is 97 a factor of 12138?
False
Is 2936 a multiple of 14?
False
Is 59386 a multiple of 12?
False
Is 10 a factor of 672?
False
Is 5802 a multiple of 96?
False
Is 22010 a multiple of 62?
True
Is 139 a factor of 41561?
True
Does 54 divide 1134?
True
Is 129 a factor of 7835?
False
Is 6882 a multiple of 74?
True
Is 279 a multiple of 19?
False
Is 5000 a multiple of 100?
True
Does 108 divide 4968?
True
Is 26730 a multiple of 18?
True
Is 98 a factor of 2067?
False
Is 1502 a multiple of 43?
False
Is 4 a factor of 1380?
True
Is 91 a factor of 137?
False
Is 3024 a multiple of 63?
True
Is 590 a multiple of 59?
True
Does 42 divide 6804?
True
Is 4 a factor of 8050?
False
Does 6 divide 30?
True
Does 134 divide 3082?
True
Is 1345 a multiple of 12?
False
Is 2520 a multiple of 63?
True
Is 8145 a multiple of 93?
False
Does 20 divide 31321?
False
Is 44 a factor of 1804?
True
Is 46965 a multiple of 303?
True
Is 480 a multiple of 60?
True
Does 13 divide 554?
False
Is 10 a factor of 170?
True
Is 6641 a multiple of 105?
False
Is 45 a factor of 3998?
False
Is 55 even?
False
Is 656 a multiple of 15?
False
Is 20 a factor of 61100?
True
Is 7 a factor of 3238?
False
Is 81 a factor of 8748?
True
Is 59 a factor of 15517?
True
Is 11 a factor of 8410?
False
Is 42112 a multiple of 43?
False
Is 43250 a multiple of 125?
True
Is 202 a multiple of 9?
False
Does 33 divide 1328?
False
Is 63 a multiple of 9?
True
Is 138 a multiple of 11?
False
Is 230 a multiple of 5?
True
Is 66 a factor of 1914?
True
Does 20 divide 1297?
False
Is 436 a multiple of 3?
False
Is 154 a factor of 5718?
False
Is 16 a factor of 74?
False
Is 85720 a multiple of 10?
True
Is 11 a factor of 66?
True
Is 2124 a multiple of 9?
True
Is 14358 a multiple of 8?
False
Is 115 a multiple of 23?
True
Is 318 a multiple of 7?
False
Is 672 a multiple of 8?
True
Is 34133 a multiple of 13?
False
Is 29348 a multiple of 29?
True
Is 484 a multiple of 22?
True
Is 10105 a multiple of 47?
True
Does 21 divide 26732?
False
Does 278 divide 556?
True
Is 17 a factor of 2284?
False
Is 217 a factor of 8202?
False
Does 79 divide 1775?
False
Is 42 a factor of 24276?
True
Is 336 a multiple of 4?
True
Does 127 divide 8124?
False
Is 21 a factor of 262?
False
Is 3306 a multiple of 57?
True
Does 13 divide 53599?
True
Does 45 divide 82886?
False
Is 64804 a multiple of 72?
False
Is 148 a multiple of 37?
True
Is 2562 a multiple of 38?
False
Does 4 divide 1960?
True
Does 130 divide 48489?
False
Does 46 divide 276?
True
Is 2585 a multiple of 55?
True
Does 13 divide 2158?
True
Does 15 divide 255?
True
Is 27 even?
False
Does 23 divide 1587?
True
Is 96 a factor of 7104?
True
Does 6 divide 1686?
True
Is 40398 a multiple of 18?
False
Does 14 divide 4354?
True
Is 39 a multiple of 5?
False
Does 6 divide 59?
False
Does 46 divide 1426?
True
Is 1716 a multiple of 66?
True
Does 18 divide 101?
False
Is 954 a multiple of 30?
False
Is 59 a factor of 36403?
True
Is 20 a factor of 17280?
True
Is 51 a factor of 44982?
|
{
"pile_set_name": "DM Mathematics"
}
|
d without replacement from zzzezeeezn. Give prob of sequence ezzz.
1/21
What is prob of sequence so when two letters picked without replacement from zssszsooooszsgz?
4/35
Three letters picked without replacement from ifrmh. What is prob of sequence fmh?
1/60
Three letters picked without replacement from dnenxgkg. What is prob of sequence gen?
1/84
Three letters picked without replacement from {z: 4, s: 1, x: 2}. What is prob of sequence xxz?
4/105
What is prob of sequence dxgd when four letters picked without replacement from xxxggdgggggdggxggdgd?
8/1615
Two letters picked without replacement from {k: 2, m: 1, f: 3, e: 2, v: 1, r: 3}. Give prob of sequence me.
1/66
Four letters picked without replacement from mdmmmmmmmdmmdmmmdmmd. Give prob of sequence mmmm.
91/323
What is prob of sequence lmq when three letters picked without replacement from qlqqqqllqqlqlmrlqqq?
11/969
Three letters picked without replacement from zczh. What is prob of sequence zhz?
1/12
Four letters picked without replacement from zxxbxzxbxxzxzxxz. What is prob of sequence xbzz?
3/364
Two letters picked without replacement from {r: 7, n: 4, j: 3}. Give prob of sequence rj.
3/26
Two letters picked without replacement from xfvvxxffvfvfffvsvf. What is prob of sequence vs?
1/51
Three letters picked without replacement from rbeppeebreeebeeery. What is prob of sequence bpy?
1/816
What is prob of sequence ph when two letters picked without replacement from {x: 4, h: 10, a: 3, p: 2}?
10/171
Two letters picked without replacement from njjvqwt. Give prob of sequence jn.
1/21
What is prob of sequence gg when two letters picked without replacement from {r: 3, z: 6, l: 5, b: 1, i: 2, g: 2}?
1/171
Two letters picked without replacement from ccbnbhknbskn. Give prob of sequence nc.
1/22
Four letters picked without replacement from ouuouuwuywowu. What is prob of sequence oowu?
9/1430
What is prob of sequence bbbw when four letters picked without replacement from bbbbww?
2/15
Three letters picked without replacement from nnuuuuupounnnunnunnw. Give prob of sequence uoo.
0
What is prob of sequence at when two letters picked without replacement from lllllzzlluallzzutul?
1/342
Calculate prob of sequence li when two letters picked without replacement from rrmlrmmrrlfiir.
2/91
What is prob of sequence au when two letters picked without replacement from atuococa?
1/28
Three letters picked without replacement from yyymbcbcbbcmb. Give prob of sequence cbb.
5/143
Calculate prob of sequence bwi when three letters picked without replacement from zwbwwzwiwwiizwbgibi.
35/1938
Two letters picked without replacement from {f: 1, n: 2, b: 1, k: 1}. What is prob of sequence fk?
1/20
What is prob of sequence bb when two letters picked without replacement from rbbbbryyy?
1/6
Two letters picked without replacement from {g: 2, s: 1, l: 2, r: 2, b: 4, u: 4}. What is prob of sequence uu?
2/35
What is prob of sequence puu when three letters picked without replacement from {z: 1, p: 5, u: 7}?
35/286
What is prob of sequence aaa when three letters picked without replacement from aaqqaqlaaqqaa?
35/286
Four letters picked without replacement from axkkex. Give prob of sequence axkk.
1/90
Two letters picked without replacement from {c: 4, p: 7}. What is prob of sequence cp?
14/55
What is prob of sequence itsi when four letters picked without replacement from {i: 9, t: 1, s: 4}?
12/1001
Four letters picked without replacement from {e: 5, i: 15}. Give prob of sequence ieee.
5/646
Two letters picked without replacement from {d: 4, a: 2, b: 6}. Give prob of sequence bd.
2/11
Calculate prob of sequence wwd when three letters picked without replacement from dwddddddw.
1/36
What is prob of sequence mxxm when four letters picked without replacement from mmmmmmmmmmmmmmxmmxmm?
1/190
Three letters picked without replacement from wwwwwwwlwwwl. What is prob of sequence llw?
1/66
Calculate prob of sequence rom when three letters picked without replacement from {z: 1, o: 3, b: 4, r: 6, m: 1}.
3/455
Four letters picked without replacement from {s: 1, w: 4, d: 2, x: 2}. Give prob of sequence xdxw.
1/189
Four letters picked without replacement from {t: 2, w: 6, b: 1, s: 1, o: 7}. Give prob of sequence owbo.
3/680
Three letters picked without replacement from {a: 4, v: 3, j: 2}. What is prob of sequence jvv?
1/42
Three letters picked without replacement from bbxbbbbxbxbxbbxbxbb. Give prob of sequence xbx.
65/969
Two letters picked without replacement from {y: 12, z: 3}. Give prob of sequence zz.
1/35
Calculate prob of sequence aly when three letters picked without replacement from {m: 1, y: 1, v: 1, a: 2, p: 1, l: 1}.
1/105
Calculate prob of sequence cc when two letters picked without replacement from {c: 4}.
1
Calculate prob of sequence cs when two letters picked without replacement from {c: 3, s: 2}.
3/10
What is prob of sequence rrqr when four letters picked without replacement from qrurrrdrrdu?
1/66
What is prob of sequence byj when three letters picked without replacement from jyjyjjyyyybbjyyjbyj?
21/646
What is prob of sequence add when three letters picked without replacement from {d: 11, a: 1}?
1/12
Four letters picked without replacement from qlqlqq. What is prob of sequence qlql?
1/15
Three letters picked without replacement from {r: 8, c: 1, s: 7, u: 4}. What is prob of sequence rur?
28/855
What is prob of sequence eehe when four letters picked without replacement from {e: 4, h: 2, q: 6}?
2/495
Calculate prob of sequence plll when four letters picked without replacement from {z: 2, p: 1, l: 11, d: 1}.
11/364
Calculate prob of sequence dddg when four letters picked without replacement from dsssdggddddd.
7/198
Calculate prob of sequence uzu when three letters picked without replacement from zuuzzzzuzzzuuz.
15/182
Two letters picked without replacement from tftxtftfsbbptft. Give prob of sequence bp.
1/105
Calculate prob of sequence pn when two letters picked without replacement from olloplpooopplpno.
1/48
Calculate prob of sequence ww when two letters picked without replacement from {d: 3, x: 2, w: 5}.
2/9
Two letters picked without replacement from nnnnpnnpn. What is prob of sequence np?
7/36
What is prob of sequence ibgr when four letters picked without replacement from iegjbgrb?
1/420
Calculate prob of sequence xrxl when four letters picked without replacement from {r: 3, l: 10, z: 1, x: 3, u: 3}.
1/646
Calculate prob of sequence ata when three letters picked without replacement from taa.
1/3
Three letters picked without replacement from {x: 10, l: 1, e: 1, t: 7}. What is prob of sequence elt?
7/5814
Calculate prob of sequence gp when two letters picked without replacement from pgggggpggggggggggg.
16/153
Calculate prob of sequence jj when two letters picked without replacement from {j: 8, c: 2}.
28/45
Calculate prob of sequence mo when two letters picked without replacement from {c: 2, m: 2, o: 1}.
1/10
Two letters picked without replacement from lllfllxoxlloollxoo. Give prob of sequence ox.
5/102
Two letters picked without replacement from {a: 1, v: 2, g: 2}. What is prob of sequence av?
1/10
Three letters picked without replacement from {r: 3, o: 1}. Give prob of sequence orr.
1/4
Calculate prob of sequence faf when three letters picked without replacement from {f: 2, a: 16}.
1/153
Three letters picked without replacement from {d: 2, k: 6, j: 2, z: 3, e: 2}. What is prob of sequence jzz?
2/455
Two letters picked without replacement from bbuccczbzz. What is prob of sequence zc?
1/10
Calculate prob of sequence ho when two letters picked without replacement from hgphogpopopoggp.
4/105
Four letters picked without replacement from oikookkikooo. Give prob of sequence kioi.
2/495
Two letters picked without replacement from igpiggiggi. What is prob of sequence gi?
2/9
Calculate prob of sequence xyx when three letters picked without replacement from yxyxxyxyyxxyyyyxxx.
9/68
Four letters picked without replacement from llljllklklllklh. What is prob of sequence lhkl?
3/364
Three letters picked without replacement from {x: 4, f: 5, r: 1}. Give prob of sequence xfx.
1/12
What is prob of sequence dsds when four letters picked without replacement from {d: 2, g: 3, s: 3}?
1/140
Three letters picked without replacement from rhh. Give prob o
|
{
"pile_set_name": "DM Mathematics"
}
|
the prime factors of w.
2
Let b(j) = j**3 + 11*j**2 + 9*j - 3. Suppose 1 = -2*k - 1. Let f = -9 + k. List the prime factors of b(f).
7
Let x(a) = -20*a + 12. What are the prime factors of x(-4)?
2, 23
Suppose 4*h = a + 7, -4*a + 0*a - 5*h + 14 = 0. List the prime factors of a*5*(-85)/(-25).
17
Let i(t) = -4*t - 22. List the prime factors of i(-15).
2, 19
Suppose 5 = -q + 2*q. Suppose 0 = q*r - 3 - 7. Suppose -2 = -r*b + 8. List the prime factors of b.
5
List the prime factors of (-31*2)/(-2) - (-2 - 2).
5, 7
Let y be 3/2 - (-103)/(-2). Let u = -35 - y. List the prime factors of u.
3, 5
Suppose 105 = r + 4*r. Let i = -2 - -5. Suppose i*a = -0*a + r. What are the prime factors of a?
7
Suppose 11*b - 540 = 6*b. What are the prime factors of b?
2, 3
Let d(j) = j**3 - 5*j**2 - 5*j + 5. Let z be d(5). Let s = z - -35. What are the prime factors of s?
3, 5
Let q be 5/(5/(-2)) + 154. Suppose -4*i - 7*p + 152 = -5*p, 0 = -4*i + p + q. List the prime factors of i.
2, 19
Let j(s) = -s**3 - 7*s**2 - 6*s + 2. Let o be j(-5). Let q = o - -43. Suppose -z - 15 = -h, 5*z - q = -3*h + 3*z. List the prime factors of h.
11
Suppose 2*o + 50 = m + 4*m, 49 = 3*m - 5*o. List the prime factors of m.
2
Let b(w) = 18*w**2 - 17*w**2 - 2 + 4. What are the prime factors of b(-3)?
11
Suppose 2*h - 3 = 3. Let a(p) = p**3 - 3*p**2 + 3*p - 3. Let d be a(h). Let q = 13 - d. List the prime factors of q.
7
What are the prime factors of (-1 + 1 - -1) + 16?
17
Suppose -4*m + 62 + 14 = 0. Suppose -5 + m = w. What are the prime factors of w?
2, 7
Let d = 12 + -37. Let p = d + 48. Suppose 0 = 5*b - 22 - p. What are the prime factors of b?
3
Let n(y) = -2*y + 16. What are the prime factors of n(-7)?
2, 3, 5
Suppose 5*x = 6*x - 3. Suppose x*c = 88 + 44. List the prime factors of c.
2, 11
Suppose 3*n - 34 = u, -28 = 2*n - 5*n + 4*u. Let s(m) = -m**3 - 9*m**2 - 11*m - 6. Let j be s(-8). Suppose -j = -3*g + n. List the prime factors of g.
2, 5
Suppose -10 = 2*b, -2*w + 4*b + 18 = -64. What are the prime factors of w?
31
Suppose g - 8 - 122 = 0. What are the prime factors of g?
2, 5, 13
Suppose a - 5*a = 0. Let l(k) = k + 18. Let n be l(a). Let o = -10 + n. List the prime factors of o.
2
Suppose 4*g - 4*c - 12 = 0, 2*g = 4*g - c - 10. List the prime factors of g.
7
Suppose 14 = 10*b - 9*b. List the prime factors of b.
2, 7
List the prime factors of 1/4 - (813/(-12) + -2).
2, 5, 7
Let t be (-9)/(-12) + 2/8. Suppose -2*q = 4*w - 7*q - t, 5*q = w + 11. What are the prime factors of (-4)/8*w/(-1)?
2
Let h = 5 + -3. Suppose -95 = -5*b - 5*t, h*t = -b - 2*t + 28. List the prime factors of b.
2
Suppose -4*n - 60 = 5*q, -q + 48 = -4*n - 3*q. Let g = -3 - -2. List the prime factors of n/(0/(-1) + g).
2, 5
Let x = 76 + -16. List the prime factors of x.
2, 3, 5
Let t(a) = 14*a - 1 - 17*a - 19*a. Let q be t(-1). Let z = -12 + q. What are the prime factors of z?
3
List the prime factors of 5*(-5)/((-15)/9).
3, 5
Let z(k) = 4*k**2 - 3*k**2 - 6*k + 0*k**2 - 13. Let m be z(9). Suppose -v + f + 11 = 3*f, -4*v + m = -2*f. What are the prime factors of v?
5
Suppose 2*f = -0*v - 2*v - 10, 0 = 5*f - 5*v - 5. Let c(y) = 4*y**2 - 5*y - 4. Let a(m) = m**2. Let p(b) = f*a(b) + c(b). What are the prime factors of p(4)?
2
Let k = -17 - -21. Suppose k*r - 45 = -r. What are the prime factors of r?
3
Let u = 4 - -2. What are the prime factors of u?
2, 3
Let k = -214 + 328. List the prime factors of k.
2, 3, 19
Let a(x) be the first derivative of -x**3/3 + 7*x**2/2 - 8*x + 1. Let p be a(6). What are the prime factors of (-12)/7*(p - 5)?
2, 3
Let m be 1*(-2 - 2/2). Let r(w) = -2 + 6 + 3*w + w**2 + 0. What are the prime factors of r(m)?
2
Suppose s = -2*m + 595, -m - s + 285 + 12 = 0. What are the prime factors of m?
2, 149
Suppose h = -4*m - 0 + 10, 4*m = 8. Suppose 0 = -h*d + 18 + 16. What are the prime factors of d?
17
Let t(v) be the first derivative of -5/3*v**3 + 1/4*v**4 - 1 + 0*v**2 + 2*v. What are the prime factors of t(5)?
2
Let m(f) = 263*f**2 + 4*f - 4. List the prime factors of m(1).
263
Suppose 114 = 4*h - 38. List the prime factors of h.
2, 19
Let a = -28 - -24. Let r(h) = 4*h**2 - 4*h + h**3 - 1 + 1. List the prime factors of r(a).
2
List the prime factors of (7 - 0)*944/56.
2, 59
Suppose -7*o = -3*o. Let w be 8 + 1/(3/3). Suppose -r + w = -o. List the prime factors of r.
3
Let x = 12 + -14. Suppose -2*y - 5*r = 21, 2*y - r - 6 = 3*y. What are the prime factors of ((-24)/(-18))/(x/y)?
2
What are the prime factors of (-306)/(-8) - 18/(-24)?
3, 13
Let r(d) = d**2 + d + 21. List the prime factors of r(9).
3, 37
Let l(t) = t**3 - 5*t**2 - 4*t - 6. Let a = 7 - 1. Let i be l(a). List the prime factors of 8/(-3)*(-9)/i.
2
Suppose 5*q = 0, -2*v - 5*q = -2*q. Let w = v + 2. What are the prime factors of (2 - 2) + 4/w?
2
Let y(t) = -17*t + 1. Suppose -4*h - 3 = 1. List the prime factors of y(h).
2, 3
Let h(f) = -3*f - 3. Let c be h(-4). Let z(j) = j**3 - 6*j**2 + 6*j - 3. Let g be z(5). Suppose g*s - c = 11. What are the prime factors of s?
2, 5
Suppose -5*i = d + 8 + 1, 0 = d - i - 9. Suppose -2*p = 5*g - 58, -g + 24 = 5*p - d. List the prime factors of g.
2, 5
Let y(c) = -6*c - 43. What are the prime factors of y(-8)?
5
Suppose 2*x - 6 = l, 0 = -2*x - 0*x + 5*l + 14. Suppose -2*g = d - 157, -x*d = -4*g + 466 - 164. Suppose 0 = -5*p + g + 13. What are the prime factors of p?
2, 3
Let t be (-1)/2*-4 + 22. Suppose -t = 5*d + 11. Let i(c) = c**3 + 6*c**2 - 8*c - 2. List the prime factors of i(d).
5
List the prime factors of ((-262)/4)/((-2)/4).
131
Suppose -5*r = -9*r + 268. What are the prime factors of r?
67
Suppose -1252 = -7*s + 337. List the prime factors of s.
227
Suppose 2*t + i = -4*i + 274, 0 = 5*t - 2*i - 743. Suppose 117 = 3*z + 5*q + 12, q = 5*z - t. Suppose -k = 4*k - z. What are the prime factors of k?
2, 3
Let y(o) = -o**3 - 7*o**2 - 7*o - 2. Let j be y(-6). Suppose -n = 2*n - 3*g - 48, -5*n + 75 = -j*g. List the prime factors of n.
11
Let k(p) = -p + 23. What are the prime factors of k(13)?
2, 5
Let a(x) = 2*x**2 + 19*x - 9. Let g(p) = -3*p**2 - 29*p + 14. Let h(d) = -8*a(d) - 5*g(d). What are the prime factors of h(-5)?
2, 3
Suppose 4 = k + 1, 3*h + 3*k = 60. What are the prime factors of 1 + h + -3 + -2?
13
Let a(i) = i**3 + i**2 + i - 4. Let c be a(0). What are the prime factors of 46 - (7 - (c - -8))?
43
Suppose -4*a + 100 = a. Suppose -k = -a - 8. Suppose 5*p - 32 - k = 0. List the prime factors of p.
2, 3
Suppose 3*u + y - 20 = 4, -3*u + 4*y = -39. What are the prime factors of u?
3
Let j = 194 + -92. List the prime factors of j.
2, 3, 17
Let r(y) = -y**2 - 7*y - 5. Let c be r(-5). Suppose -3*p - c*p = -112. List the prime factors of p.
2, 7
Suppose -5*u - 5*k = -2*k + 465, -186 = 2*u - 2*k. Let i = -66 - u. List the prime factors of (45/i)/(2/12).
2, 5
Let a be (4*26)/1 - 2. Suppose 0*c + a = 6*c. What are the prime factors of c?
17
Let z(h) = -h + 5. Let l be z(6). List the prime factors of l/(-2*3/60).
2, 5
Suppose -2*l + 41 = f, f - l - l - 53 = 0. List the prime factors of f.
47
Suppose 2*r + 0 = 8. Suppose 0 = 2*z - z - 2. Suppose r*d - z*d - 8 = 0. List the prime factors of d.
2
Suppose 0*r = -3*r + 3. Let u be ((-2)/6)/(6/18). What are the prime factors of u*-7*1*r?
7
Suppose -4*p + 11*p = 203. What are the prime factors of p?
29
Suppose 0 = -0*u - 3*u + 3*t - 6, -u = 4*t - 23. Let d = u + 0. What are the prime factors of d?
3
Let k = -329 + 173. List the prime factors of (k/18)/(2/(-9)).
3, 13
List the prime factors of 8/(-84)*-7 + (-218)/(-6).
37
Suppose -5*w - 36 = 39. What are the prime factors of (w/(-6) + -3)*-22?
11
Suppose -16 - 5 = -3*j. Let i(b) = -b**3 + 8*b**2 - 8*b + 10. Let d be i(j). List the prime factors of (4 + d)*12/14.
2, 3
Let x(l) = -4*l**3 + 4*l**2 + 2*l + 7. Let g(c) = 5*c**3 - 4*c**2 - c - 8. Let v(j) = 3*g(j) + 4*x(j). What are the prime factors of v(5)?
2
Let o(k) = -8*k**3 + k**2 + 2*k + 1. Let a be o(-1). Suppose 0 = 5*z - 58 + a. Suppose z = -3*q + 4*q. What are the prime factors of q?
2, 5
Suppose 5 = 2*t - 23. Let q = -12 + t. List the prime factors of q.
2
Suppose -2*w = -3*a - 60, 2*a - 3*a = -3*w + 76. Suppose 6*o + 2*t = o + w, -4*o = -3*t - 10. What are the prime factors of o?
2
Suppose -3*t - 2 = 10. List the prime factors of t*(-1)/2 - -10.
2, 3
|
{
"pile_set_name": "DM Mathematics"
}
|
4. Let o be j(3). Let n = 20 - o. Let b(t) = -t**2 - n + 7. Let l(x) = x**2. What is l(b(z))?
z**4
Suppose -5*d - 18 + 3 = 0. Let u(x) = x**2 + x - 1. Let h(a) = 2*a**2 + 3*a - 3. Let v(f) = d*u(f) + h(f). Let q(m) = m. What is v(q(z))?
-z**2
Let f(s) = 0*s - s**2 + 0*s. Let u(k) be the first derivative of k**3/3 - 5*k - 4. Let i(t) = 2*t**2 - 6. Let a(n) = -5*i(n) + 6*u(n). Calculate a(f(j)).
-4*j**4
Let f(y) = 18*y**2. Let g(d) = -1191*d. Determine f(g(n)).
25532658*n**2
Let b(j) = -9*j - 11*j + 25*j. Let r(o) = -4*o. What is b(r(y))?
-20*y
Let i(u) = -14*u. Let d(g) = -8 + 2*g - 2 + 10. Determine d(i(s)).
-28*s
Suppose -3*g - 2 = -t, 4 = -3*g - t + 3*t. Let k(l) = 10*l + g*l - 8*l. Let x(h) = h**2. What is x(k(i))?
4*i**2
Let s(c) be the second derivative of -c**4/12 + 3*c. Let r(f) = f**2 + 2*f - 2*f. Calculate r(s(h)).
h**4
Let g(j) = -3*j**2. Let d(p) = 2*p + 541. Calculate d(g(b)).
-6*b**2 + 541
Let n(k) = -2*k**2. Let f(x) = -23*x + 3. What is f(n(r))?
46*r**2 + 3
Let w(p) be the first derivative of p**6/90 + 2*p**3/3 - 7. Let t(i) be the third derivative of w(i). Let x(v) = -v. Calculate t(x(n)).
4*n**2
Let s(y) = -7*y**2. Let g(b) be the first derivative of -4*b**3/3 - 2. Give g(s(t)).
-196*t**4
Let g(y) = -3*y**2. Let w(j) = 2*j - 3. Let l(u) = 2*u - 4. Let c = -4 - -8. Let i(z) = c*w(z) - 3*l(z). Calculate i(g(o)).
-6*o**2
Let s(d) = -20*d. Let k(b) = 94*b**2 - b. Calculate k(s(i)).
37600*i**2 + 20*i
Let o(s) = -s**2. Let a(c) = -5*c**2 + 3*c - 9*c - 10*c + 3*c**2. Calculate o(a(i)).
-4*i**4 - 64*i**3 - 256*i**2
Let q(b) = 10*b - 12*b + 4*b. Let x(t) = 17*t**2. Determine q(x(y)).
34*y**2
Let f(p) = -2*p. Let t(k) = 0 + 1 + k - 2*k. Suppose 1 = 5*m + 2*h, m = -h - 3*h + 11. Let o(a) = 8*a - 6. Let z(l) = m*o(l) - 6*t(l). Give z(f(j)).
4*j
Let t(j) = 624*j**2. Let b(o) = -4*o. What is b(t(d))?
-2496*d**2
Let o(p) = 167*p**2. Let z(s) = s. Calculate z(o(a)).
167*a**2
Let s(o) be the first derivative of 0*o + 4 + 1/2*o**2. Let f(u) = u. Give f(s(t)).
t
Let c(y) = 25*y - 2. Let x(u) = 4*u**2 + 2*u. Let j(p) = -13*p**2 - 7*p. Let l(n) = -2*j(n) - 7*x(n). Determine l(c(f)).
-1250*f**2 + 200*f - 8
Let f(p) = -p**2 + 46. Let l(n) = -5*n**2. Calculate l(f(a)).
-5*a**4 + 460*a**2 - 10580
Let h(v) = 2*v. Let m(q) = 13611*q. Calculate m(h(a)).
27222*a
Let g(y) = 4*y**2. Let b(s) = 6*s + 5. Let x(r) = -9*r - 8. Let q(n) = -8*b(n) - 5*x(n). Calculate g(q(a)).
36*a**2
Let k(r) = -35*r + 21*r + 13*r. Let l(d) = 3*d - 2*d + 7*d. What is k(l(o))?
-8*o
Let m(q) = 4*q**2. Suppose -2*o - 8 = -22. Let l(r) = 7*r + r**2 - o*r. Give l(m(f)).
16*f**4
Let q(b) = -3*b**2. Let m(n) = 21*n - 7. Determine q(m(p)).
-1323*p**2 + 882*p - 147
Let x(w) = -186*w**2. Let a(m) = 27*m. What is a(x(h))?
-5022*h**2
Let i(w) = -w. Let m(d) = -4*d - 7. Let p(c) = c + 2. Let y(h) = -4*m(h) - 14*p(h). Give y(i(l)).
-2*l
Let l(n) be the third derivative of 5*n**4/8 - 23*n**2. Let x(w) = -2*w**2 - 5*w - 5. Let v(c) = -2*c**2 - 4*c - 4. Let o(k) = 5*v(k) - 4*x(k). Give o(l(z)).
-450*z**2
Let f(j) = -j. Let r(k) be the third derivative of k**4/3 + 3*k**2. Give f(r(a)).
-8*a
Let r(j) = 31*j + 32*j - 102*j + 34*j. Let a(y) be the third derivative of y**4/6 + 2*y**2. Determine a(r(q)).
-20*q
Let i(t) = -5*t**2 + 12*t**2 - t**2 - 4*t**2. Let m(p) = -p**2 - 3*p. Give i(m(u)).
2*u**4 + 12*u**3 + 18*u**2
Let w(g) = -g. Let n(b) = 14*b**2 + 7*b. Let a(q) = q. Let u(l) = -14*a(l) + 2*n(l). Calculate u(w(v)).
28*v**2
Let w(x) = 24*x**2 + 18. Let b(r) = -r**2 - 1. Let f(m) = 36*b(m) + 2*w(m). Let l(q) = -q**2. What is l(f(n))?
-144*n**4
Let f(x) = 582*x**2. Let w(i) = i**2. Calculate f(w(q)).
582*q**4
Let w(i) = 2*i**2. Let q(k) = -3728*k. What is q(w(d))?
-7456*d**2
Let s(l) = -3*l. Let a be ((-13 - -1)/(-3))/2. Let t(n) = 2*n**2 - n**a - 3*n**2. Calculate s(t(m)).
6*m**2
Let b(o) = -2*o**2 - 10*o + 10. Let i(j) = -j + 1. Let w = -6 - 4. Let s(k) = w*i(k) + b(k). Let u(t) = -4*t. Calculate s(u(r)).
-32*r**2
Let j(n) = n**2 - 3*n**2 + 0*n**2. Let o(c) = -6*c**3 - c. Let l be o(-1). Let u(z) = 2*z. Let k(i) = i. Let a(m) = l*k(m) - 4*u(m). Calculate a(j(v)).
2*v**2
Let f(c) = 3*c**2. Let k(j) = -870*j - 1. What is k(f(d))?
-2610*d**2 - 1
Let k(n) = 5*n + 3*n**2 + 2*n**2 - n**2 + 2*n**2. Let a(m) = -m. Determine k(a(u)).
6*u**2 - 5*u
Let w(g) = -6*g**2. Let j be -4 - (-7)/7 - (-14)/2. Let h(u) be the third derivative of 0 - j*u**2 + 0*u**3 + 0*u + 1/12*u**4. What is w(h(r))?
-24*r**2
Let i(k) = 26*k - 5. Let w(r) = r**2. Give i(w(c)).
26*c**2 - 5
Let o(f) = -46*f - 10. Let i(m) = 2*m. Calculate o(i(r)).
-92*r - 10
Suppose 5*z - 6 + 1 = 0. Let b(s) = -z + 1 + s**2 + 0. Let d(y) = -y**2. Calculate d(b(u)).
-u**4
Let i(r) = r. Let y(v) be the third derivative of v**7/840 - v**5/30 + 6*v**2. Let o(u) be the third derivative of y(u). What is o(i(j))?
6*j
Let f(s) = -3*s. Suppose -v + 10 = 4*v. Let p(k) = -k**v - 8*k + 8*k. What is f(p(a))?
3*a**2
Let a(j) = 2*j**2 + 5. Let l(b) = 1. Let y(d) = -a(d) + 5*l(d). Suppose 3*f + 1 = -3*q - 2, 5*q + 4*f = 0. Let s(p) = 2*p**2 - 5*p**2 + q*p**2. Give s(y(w)).
4*w**4
Let d(y) be the second derivative of y**3/6 - 9*y. Let j(v) = -6*v. Give j(d(g)).
-6*g
Let h(t) = -4*t**2 + 5*t + 5. Let n(r) = -6*r**2 + 7*r + 7. Let c(q) = -7*h(q) + 5*n(q). Let m(a) = 0*a + 0*a - a**2. Determine c(m(y)).
-2*y**4
Let q(c) = -24*c**2. Let w(r) = -5*r**2. Let i(u) = -3*q(u) + 16*w(u). Let n(a) = -4*a. Let b(h) = -17*h. Let j(t) = -6*b(t) + 26*n(t). What is j(i(p))?
16*p**2
Let i(x) = 3*x**2. Let a(c) be the first derivative of -c**4/12 - 3*c + 3. Let s(d) be the first derivative of a(d). Give i(s(j)).
3*j**4
Let t(h) = -63 - 2*h**2 + 63. Let v(u) = -u**2. What is t(v(k))?
-2*k**4
Let t(f) = 2*f. Let g(m) be the third derivative of m**4/24 - 33*m**2. Determine t(g(s)).
2*s
Let m(t) = 2*t. Let v(y) = 3*y - 2*y + 45*y - 6*y. Give v(m(l)).
80*l
Let t(u) = 9*u + 2. Let q(c) = 6*c**2. What is q(t(z))?
486*z**2 + 216*z + 24
Let q(i) = -22*i**2. Let b(p) = -35*p. What is b(q(o))?
770*o**2
Let k(a) be the first derivative of -2*a**3/3 + 3. Let z(f) = -4*f. Determine k(z(v)).
-32*v**2
Let o(a) be the first derivative of 0*a**2 - 1/3*a**3 - 1 + 0*a. Let w(l) = -5*l. What is w(o(k))?
5*k**2
Let w(q) = -q**2. Let n(u) = u**2. Let f(i) = -6*n(i) - 7*w(i). Let a(b) be the first derivative of 5*b**3/3 + 13. Calculate f(a(l)).
25*l**4
Let j(q) = q. Let a(t) = -47*t. Calculate j(a(o)).
-47*o
Let z be (-3)/(2 - -4)*-10. Let b(p) = -3*p + 6*p - z*p. Let t(v) = v**2. Give b(t(c)).
-2*c**2
Let n(a) = 11 + 7*a**2 - 11. Let i(y) = 2*y. Give n(i(x)).
28*x**2
Let i(s) = 2*s**2. Let f(w) = -3*w - w + 8*w + w. What is f(i(g))?
10*g**2
Let q(w) = -w. Let h(l) be the third derivative of l**6/720 - l**4/24 - l**2. Let f(j) be the second derivative of h(j). Give f(q(z)).
-z
Let t(n) = -2*n**2 - 816. Let q(p) = 2*p**2. Give t(q(r)).
-8*r**4 - 816
Let q(i) = -44*i - 3. Let x(r) = -12*r. Give q(x(t)).
528*t - 3
Let t(h) = 9*h + 4. Let l(c) = c. Calculate l(t(b)).
9*b + 4
Let j(p) be the second derivative of -p**3/6 + 3*p. Let q(v) = 4*v**2 + v**2 - 3*v**2. Give j(q(d)).
-2*d**2
Suppose 3*n - 3 = 15. Let k(m) = -6*m + 12*m - n*m + 2*m**2. Let q(x) = -2*x**2. Determine k(q(v)).
8*v**4
Let x(p) be the third derivative of -p**5/60 + p**2. Let k(g) = 35 - 18 + g**2 - 17. Determine k(x(t)).
t**4
Let p(k) = 2*k - 10. Let u(a) = -1. Let r(b) = -2*p(b) + 20*u(b). Let g(f) = -7*f**2 + 22*f - 22*f + 5*f**2. Calculate g(r(j)).
-32*j**2
Let z(s) = 14*s. Let h(t) = -15*t. What is z(h(o))?
-210*o
Let u(o) = o**2. Let v(r) = 10*r**2 - 2. Let g(z) = 19*z**2 - 5. Let x(i) = 2*g(i) - 5*v(i). What is x(u(c))?
-12*c**4
Let u(o) = -7*o**2 - 2. Let i(q) = 36*q**2 + 11. Let y(s) = -2*i(s) - 11*u(s). Let d(f) = -5*f**2. What is d(y(c))?
-125*c**4
Let k(y) = 4*y + 24. Let g(n) = -n. Calculate g(k(s)).
-4*s - 24
Let x(h) be the third derivative of -h**5/30 - h**2. Let v(o) = 8*o. What is x(v(a))?
-128*a**2
Let t(a) = 47*a**2 - 8*a. Let x(p) = p**2. Calculate x(t(o)).
2209*o**4 - 752*o**3 + 64*o**2
Let z(f) = f**2. Let h(j) = -738*j**2 - j. What is h(z(r))?
-738*r**4 - r**2
Let w(q) = -3*q. Let y(g) = 5*g + 5 + 0 - 5. Calculate y(w(s)).
-15*s
Suppose 3*y + 0*k + 18 = -k, 16 = -5*y + 3*k. Let g(a) = -4*a**2. Let r(m) = 3*m**2. Let c(x)
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{
"pile_set_name": "DM Mathematics"
}
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