text stringlengths 270 8.19k | meta dict |
|---|---|
ter: -2621/4 or -654?
-654
Which is smaller: 1 or 30/190117?
30/190117
Is 1.5 at least -2/845645?
True
Which is smaller: 0.0226925 or -2?
-2
Are 31357 and 31358 equal?
False
Are -32781 and -32773 equal?
False
Which is smaller: 257 or -0.11?
-0.11
Is 13407 at most as big as 13407?
True
Is 121 greater than 0.9574?
True
Which is smaller: -102087 or -102085?
-102087
Is 2/11 smaller than -0.5037?
False
Is -119608/113 < -1057?
True
Which is greater: -12 or -4310/323?
-12
Is -6 at most as big as 12603?
True
Which is smaller: -4887316 or -4887317?
-4887317
Which is smaller: -4598 or -4648?
-4648
Which is greater: 2122231 or 2122230?
2122231
Is -2962966 less than -2962964?
True
Which is greater: -1 or 1/1200859?
1/1200859
Which is greater: 18 or 4?
18
Are -163/9 and 48 equal?
False
Is 1222191 < 1222194?
True
Is -5012156 < -5012155?
True
Is 24363/341 >= 72?
False
Is 13189.67 greater than or equal to 1?
True
Which is greater: -831/7 or -90/11?
-90/11
Is -204 at most -3277/16?
False
Is 161778 bigger than 161778?
False
Is 2978.9 greater than or equal to 4?
True
Is -212 != -24/877?
True
Is -1420 less than 455?
True
Is 424/2117 bigger than 0?
True
Which is greater: 27 or -7/11?
27
Which is smaller: 0 or 94150?
0
Which is greater: -2/32535 or -1?
-2/32535
Which is smaller: -59022 or -59055?
-59055
Which is bigger: 0 or -821547?
0
Which is greater: -1277/3 or -6.66?
-6.66
Which is smaller: -434 or -483?
-483
Is -59993 at most as big as -59993?
True
Is -1062167 not equal to -1062167?
False
Is -850 < -851?
False
Which is smaller: 4/410711 or 1?
4/410711
Which is smaller: 1166032 or 1166027?
1166027
Which is smaller: -1957 or -1958?
-1958
Is -37967 < 2/31?
True
Which is smaller: 295.98 or -0.1?
-0.1
Is -2/2075877 less than or equal to -1?
False
Is 55844/7 less than 7977?
False
Is -193369 < -193372?
False
Are -6190 and -62 equal?
False
Is -1708 equal to -1725?
False
Is -415 smaller than 11/6?
True
Is 66438 equal to -24?
False
Is 1/6 not equal to 18228?
True
Is -1/4 <= -41001?
False
Which is bigger: 2908 or 2885?
2908
Is -145998 not equal to -145996?
True
Is -2410 at most -2285?
True
Is 883/3 less than or equal to -3?
False
Which is smaller: 3/9277816 or 1?
3/9277816
Is 5574 > 5571?
True
Is 4/9 at least 1712?
False
Are 0.14 and 0.4787 non-equal?
True
Is 2/5324769 at most 0?
False
Is -3431753/3 at most as big as -1143917?
True
Which is smaller: 10390 or 10359?
10359
Is 0 at most -1949/2510?
False
Which is greater: -2751 or -1842?
-1842
Which is smaller: 1/637886 or 0?
0
Which is bigger: -171 or 1276?
1276
Is -77479 not equal to -77479?
False
Which is smaller: -6.6 or 641/4?
-6.6
Which is smaller: 69/31 or -0.022?
-0.022
Which is smaller: 370 or 804?
370
Is -10944 bigger than -109437/10?
False
Is 1 > 33049?
False
Which is smaller: 41096 or 41094?
41094
Is 3747 >= 101176/27?
False
Which is bigger: 114.5 or 20?
114.5
Is -2/589 at least as big as 25?
False
Do 1 and -6/2621 have the same value?
False
Which is smaller: 118103 or 118101?
118101
Which is bigger: 454 or 10455/23?
10455/23
Is -1759 < -6397?
False
Which is greater: -1 or -4/9375233?
-4/9375233
Are 7683 and 7683 unequal?
False
Which is smaller: -502 or -269?
-502
Which is smaller: -7375 or -12?
-7375
Is 6 smaller than 519/104?
False
Which is smaller: 18576 or 18581?
18576
Which is greater: -29/3 or 348?
348
Which is smaller: 1981.8 or -13/4?
-13/4
Which is smaller: 54 or 2550?
54
Are 313 and 0.0068 nonequal?
True
Are -2/17547 and -39 equal?
False
Is 1 >= 11/36893?
True
Does 1 = -2/8459?
False
Which is bigger: -33/23563 or -1?
-33/23563
Which is greater: -81222 or -243662/3?
-243662/3
Which is smaller: -593017 or -593004?
-593017
Which is greater: 191288/3 or 63764?
63764
Is 186835 at most as big as -1/2?
False
Which is smaller: -1107 or 145?
-1107
Is 49565 > -1?
True
Is 2/903 at most as big as 3?
True
Is 3 at most as big as 5/348?
False
Which is smaller: -120/9991 or 0?
-120/9991
Which is bigger: -732 or -670?
-670
Which is bigger: 4/4510595 or -1?
4/4510595
Which is bigger: 2/490123 or 1?
1
Is 1358 > 1367?
False
Is -7 smaller than 3634/7?
True
Does 215/33 = 13?
False
Is 3896.24 at least as big as -2?
True
Is -10/84791 >= -1?
True
Do -7.88 and -0.0378 have the same value?
False
Is -1236741/2 less than or equal to -618372?
False
Is -150 >= -3445/23?
False
Which is smaller: -456315 or -456317?
-456317
Is 9/127 less than 1?
True
Which is greater: 3 or 5182/3295?
3
Which is bigger: 2226/5 or 30?
2226/5
Are -8 and -1274/157 equal?
False
Which is greater: 0 or -244/7115?
0
Is 5 <= -2799?
False
Is -95232 at most -95232?
True
Which is greater: 1057/790 or 2?
2
Is 0 >= -28/16913?
True
Is -28895 bigger than -28897?
True
Are 0 and -112/419 nonequal?
True
Is -23404 less than -23404?
False
Which is bigger: -0.12 or 17301.7?
17301.7
Is -4183/72 > -59?
True
Is -30800 greater than -215605/7?
True
Is -175 at least as big as -51984/295?
True
Which is greater: -22 or 25.4?
25.4
Which is bigger: 1139 or 1334?
1334
Does 40 = 104/71?
False
Is -111 > -3414/31?
False
Is -1419 equal to -1233?
False
Which is greater: 10 or 1045?
1045
Which is greater: 149473 or 149461?
149473
Which is smaller: -12510 or -12511?
-12511
Is -4.1 at most -0.01236?
True
Is 0.2 >= 30336/19?
False
Is 706 at least 751?
False
Is -227 <= -3081?
False
Which is smaller: -1265/304 or -4?
-1265/304
Which is greater: 23920 or 23917?
23920
Is -42/227 less than -43?
False
Is -1019 bigger than -36?
False
Which is greater: 1 or 135/1291?
1
Is 52789 equal to 52790?
False
Is 0 bigger than -8/9157?
True
Is 707 smaller than 2/47?
False
Is 0 greater than 68/291521?
False
Are 108/3341 and -1 non-equal?
True
Do -212878 and -425757/2 have the same value?
False
Is -85941 < -85938?
True
Which is greater: 78 or 7476/97?
78
Which is smaller: -5723/139 or -41?
-5723/139
Which is bigger: -1/4855 or 0?
0
Is 100/25949 at most 0?
False
Which is bigger: 58508 or -6?
58508
Which is smaller: 92/28559 or 0?
0
Are -112/1283 and -1 non-equal?
True
Which is smaller: 1 or 6816166?
1
Which is smaller: 40806/23 or 1774?
1774
Which is bigger: 1 or -6/6017?
1
Which is smaller: -0.14623 or 0.4?
-0.14623
Is 0.1 <= 718717?
True
Which is greater: -170/6237 or 0?
0
Which is smaller: 17012 or -1/3?
-1/3
Does 0 = -21/4421?
False
Is 257483 less than or equal to -1/2?
False
Are 354887 and 354887 non-equal?
False
Is -5115 less than -5395?
False
Are -1 and 14/43423 equal?
False
Which is smaller: -48288 or -338024/7?
-338024/7
Which is smaller: -1/2614450 or -1?
-1
Is 28240 greater than 28240?
False
Which is bigger: 4 or 5727?
5727
Do 41/2504 and -1 have the same value?
False
Is 37 bigger than 2047?
False
Is -142313 > -142313?
False
Which is smaller: -1 or -66/58375?
-1
Which is smaller: -0.2 or -11/818?
-0.2
Is -32 <= -0.1912?
True
Are -0.0017 and 12686 equal?
False
Are 68941 and 68939 unequal?
True
Is -6 smaller than -243779?
False
Are 2915 and 18 non-equal?
True
Which is bigger: -2/204407 or 0?
0
Is -42/3559 not equal to -1?
True
Which is greater: 11854 or -3/5?
11854
Is 1631 at most as big as -14?
False
Which is smaller: -24912/29 or -1?
-24912/29
Which is bigger: -348793 or -348795?
-348793
Is 1 greater than or equal to -49/15945?
True
Is 0 smaller than -24/24173?
False
Is 1419600 less than or equal to 1419599?
False
Which is bigger: 2/23453 or 1?
1
Which is bigger: -0.3 or -63556?
-0.3
Which is smaller: 1 or 7/177522?
7/177522
Is 1 greater than or equal to -250/699?
True
Which is greater: 65999 or 66000?
66000
Are -10171/5 and -1.7 equal?
False
Is 2 != -3612538?
True
Is -236/33595 at most as big as -1?
False
Which is smaller: 2839 or 1382?
1382
Which is greater: -1 or -6/80995?
-6/80995
Which is bigger: 2/21319 or 40?
40
Is 34597 at least as big as 34585?
True
Is -194/5 not equal to 142?
True
Does 751514/9 = 83503?
False
Are -143947 and -143955 unequal?
True
Which is greater: 1826298 or 1826297?
1826298
Does 105/5396 = 0?
False
Is -13251364 at most as big as -13251364?
True
Which is bigger: -240 or 118?
118
Is -94256 bigger than -94259?
True
Which is smaller: -26 or -8754/335?
-8754/335
Which is greater: -956 or -655?
-655
Which is greater: -1 or -76/157751?
-76/157751
Which is smaller: 1/3506 or 520?
1/3506
Are 21176/19 and 1116 equal?
False
Are -3/47495 and 1 non-equal?
True
Which is greater: 90796 | {
"pile_set_name": "DM Mathematics"
} |
*b**2 + f*b**3 + a*b**4 + u*b and give a.
-10
Express -9*p**3 - p**4 + 9*p**3 + (-4*p + 0*p + 2*p)*(0*p + 2*p**3 + 0*p) - 2*p**4 + 0*p**4 + 0*p**4 in the form q*p + b*p**4 + t*p**3 + l + j*p**2 and give b.
-7
Rearrange -36*q + 34*q - 8*q**2 - 3*q**2 - 4*q**2 to the form i + c*q**2 + x*q and give x.
-2
Rearrange -2*c + 9*c**2 + 7*c**2 - c**4 - 2 - 12*c**2 to the form n*c**4 + j + x*c**2 + o*c + i*c**3 and give j.
-2
Rearrange -v**3 - 8*v**2 + 8*v**2 + 2*v**4 + 6*v**2 to d + q*v**3 + h*v**4 + t*v**2 + j*v and give j.
0
Express ((0 + 4 - 6)*(-3*q + 3*q - q) - 4 + 4 + 2*q)*(4 + 2 + 2) as x + y*q and give x.
0
Rearrange -6 + 2*x**2 + 2*x**3 + 6 + 3*x**2 to the form b*x**3 + o*x**2 + s*x + d and give b.
2
Rearrange -18*v - 8*v + 14*v to the form k*v + x and give x.
0
Express 8*y**2 + 6*y**2 - 15*y**2 - y + 4*y**2 in the form h*y + w*y**2 + n and give h.
-1
Express (2*u + 3 - 3)*(4 - 4 + 1) - 4*u + 2*u + u + 2*u - u + 2*u + 3*u - 3 + u - 5*u in the form b + x*u and give x.
3
Express (1 + 1 + 0 + (2 - 3 + 2)*(-6 + 3 + 2) - 6 + 8 - 5)*(-4 + 4 + 2*d**3) in the form q*d**3 + z*d + m + w*d**2 and give q.
-4
Express (-m**2 + m**2 + m**2)*(3*m + 2*m - 3*m)*(1 + 5 + 0) as j*m**2 + w + i*m**3 + l*m and give i.
12
Rearrange 34*x**3 - 26*x**3 - 6 + 2*x**2 + 1 to v*x**3 + c*x + j + w*x**2 and give w.
2
Rearrange (-4*g**2 - 2*g**2 + 8*g**2)*(0*g**2 + 4*g**2 - 2*g**2) + 4*g**4 + 4*g**4 - 3*g**4 to q*g**3 + o + t*g + k*g**2 + u*g**4 and give u.
9
Express 2*v**4 - 3*v**4 + 3*v**4 + (-19 + 19 - 14*v**2)*(-4*v**2 - 3*v**2 + 5*v**2) as k + b*v**2 + o*v**4 + x*v + g*v**3 and give k.
0
Express -4*i + 3*i + 3*i + (0 - 1 + 2)*(-2*i + 2*i + 2*i) - 5*i + 2*i + i + (-i + i + 2*i)*(-4 + 3 + 3) - 16 + 4*i + 16 as n + l*i and give l.
10
Rearrange -2 - 2*c + 14 - 2 + (0*c - 3*c + 6*c)*(3 - 4 - 1) to the form q + d*c and give q.
10
Express m - 2*m + 5*m**2 - m**4 + 0*m**2 + 2*m**3 - 2*m**2 as z*m**3 + x*m + d*m**4 + s*m**2 + l and give d.
-1
Rearrange 43 - 38 - h**3 + 0*h**3 to i + w*h**2 + z*h + v*h**3 and give v.
-1
Rearrange -14*g + 2 + 8*g + 4*g - 7*g**2 to the form v + k*g + d*g**2 and give v.
2
Express -37*m + 15 - 22 - 2*m**3 + 6 as z + c*m**3 + j*m**2 + p*m and give z.
-1
Express -2351 + x**2 + 2351 + x**2 as z*x + m*x**2 + i and give m.
2
Rearrange (-1 - 1 + 0)*(g**3 + 2*g**4 + 559 + 552 - 1125) to the form a + n*g + w*g**2 + r*g**4 + p*g**3 and give a.
28
Rearrange (6 - 3 - 2)*(0*o - 2*o + o) - 9*o + 18 - 18 + 3*o + o - 3*o to k + s*o and give s.
-9
Rearrange 4*c**2 + 19 - 6*c**2 + 14 to the form v + d*c**2 + s*c and give d.
-2
Express b**2 - b**2 - 3*b**2 + 1 + 5*b**3 as o + t*b**2 + y*b + z*b**3 and give t.
-3
Express (-i + 0*i - i)*(-3 + 1 + 1) - 103 - 4*i + 5*i + 53 in the form m*i + s and give m.
3
Rearrange 2*f**3 - 3*f**3 - 4*f**3 + (2*f + f + 3*f)*(f**2 - 3*f**2 + 0*f**2) to i*f**2 + a*f**3 + d + g*f and give a.
-17
Express -2*m - 14*m**2 + 10 - 12 + 4*m + 0*m in the form l*m + b*m**2 + n and give b.
-14
Rearrange 2*f + 3 - 3 + (5 - 1 - 3)*(4*f - f - 4*f + (-2 + 4 - 3)*(-f - 3*f + 2*f)) - 9*f + 29 - 29 to i + k*f and give i.
0
Rearrange t**3 - 17*t + 13*t + 2*t - 1 to h*t**2 + j + p*t**3 + d*t and give j.
-1
Express (3 + n - 3)*(5 - 2 - 5) - 3*n + 3*n + n - 2*n + 0*n + 3*n + (0 + n + 0)*(-2 - 1 + 2) - n + 3*n - 4*n as q + l*n and give l.
-3
Express (10 + 3*i - 10 + (-2 + 2 - 2*i)*(1 - 5 + 2) + 2*i - 3 + 3)*(-2 + 0 - 1) as z*i + q and give z.
-27
Express (-18*n - 6*n + 2*n + (-n + 3*n + 0*n)*(-2 + 5 - 1) - 3 - n + 3)*(2*n + 0*n - 5 + 3) as j*n**2 + g*n + f and give j.
-38
Rearrange -20*h + 24*h - 11*h to the form c*h + j and give c.
-7
Rearrange 0*i + 20*i**3 + 2*i + 1 - 2*i**2 - 41*i**3 + 19*i**3 to the form l*i**3 + j*i**2 + g + f*i and give l.
-2
Rearrange 0*n**2 - n**2 - 2 - 1 + 0 to the form q + j*n**2 + c*n and give j.
-1
Express 3*p**4 - 15*p**3 - 5*p + 3*p + 17*p**3 - 4 in the form q*p + c*p**4 + t*p**2 + b + s*p**3 and give q.
-2
Rearrange -2*d**2 - 10*d + 7*d**3 + 23*d - 6*d**3 to r*d + v*d**2 + n*d**3 + s and give r.
13
Rearrange 14*q + 0*q + 37*q to r + f*q and give f.
51
Express 1 - 8*i + 0 - 1 in the form t + v*i and give v.
-8
Rearrange (5 - 3 - 4)*(2*i**2 - 3*i**2 - i**2) + (2 - 1 + 1)*(-1 + 1 - 3*i**2) to the form o*i + a*i**2 + t and give a.
-2
Express 20*c - 127*c**3 - 2*c**2 - 135*c**3 + 261*c**3 as m + u*c + n*c**2 + w*c**3 and give n.
-2
Rearrange 3*v**3 + 0*v + 4*v**3 - 4*v to g*v**2 + h*v**3 + p*v + l and give p.
-4
Rearrange -4*r + 5 - 5 to c + g*r and give g.
-4
Rearrange -18 - 3*f**2 + 11 + f**2 - 2*f**3 to t*f**2 + n*f + k*f**3 + b and give b.
-7
Rearrange (42 - 42 - 6*y**4)*(-6 - 1 + 5 + 0 - 4 + 3 + (0 + 3 - 4)*(-2 + 3 + 0) + 1 + 3 - 3)*(-2 + 1 - 2) to p + z*y + g*y**3 + r*y**4 + t*y**2 and give r.
-54
Express -54 - s + 54 - 21*s**2 as j + r*s**2 + u*s and give u.
-1
Express (-o**3 + 5*o**3 - 2*o**3 + (2 + 1 - 5)*(-2*o**3 - 3*o**3 + 4*o**3))*(-964*o + 0 - 2 + 883*o) as t + i*o**3 + b*o + c*o**2 + s*o**4 and give i.
-8
Express (-3*o + 0*o + o)*(4 - 5 + 2)*(-3*o + 4*o + 0*o) + 0 + 0 + 2*o**2 - 6*o**2 + 8 - 8 + (0*o + 6*o - 4*o)*(-3*o - 2*o + 6*o) as q + i*o + f*o**2 and give f.
-4
Express (m - m - m)*(-m + 0*m + 2*m) + m**2 + 5*m**2 - 3*m**2 + (m + 3*m - m)*(-m + 2*m - 5*m) in the form p*m**2 + s + f*m and give p.
-10
Express -5*z + 3*z + z**2 - z + 3*z**2 in the form t + k*z**2 + f*z and give k.
4
Express -259*o**2 - o**4 + 243*o**2 + o**3 + 0*o**4 + o as y*o + z*o**3 + h*o**4 + u*o**2 + t and give z.
1
Rearrange (-1 + 4 - 2)*(-174*c + 6*c**2 + 174*c) + c**2 + 0*c + 0*c to v*c + o*c**2 + f and give o.
7
Rearrange ((0 - 1 - 2)*(-2*f + 0*f + f) - f + 3*f - 4*f)*(5 - 4 + 2*f - 3) to s + z*f**2 + c*f and give z.
2
Express (5*h - 2*h + h + (4*h - 3*h - 2*h)*(0 - 5 + 6) - 2*h + 2*h + 2*h)*(-1 - 3 - 2) as r + d*h and give r.
0
Express -3*a**2 + 2*a**2 - 163*a - a**2 + 27*a as d*a**2 + m + z*a and give d.
-2
Rearrange (-2 + 1 + 3)*(-4*v**4 - 7*v**4 + 4*v**4) + (v + 0*v - 3*v)*(-2*v**2 - v**3 + 2*v**2) to the form t*v**2 + k*v + m + w*v**4 + n*v**3 and give w.
-12
Rearrange (-4 + 4 + 6*w**3)*(-5 - 5 + 0) to j*w**3 + y + g*w + r*w**2 and give g.
0
Express 4*g + 3 - 3 + g**2 in the form q + h*g**2 + u*g and give u.
4
Express -13*j + 8*j + 2*j**2 + 1 - 1 as n*j + k*j**2 + c and give k.
2
Rearrange 5*m**3 + 195*m**2 - 9*m - 195*m**2 to c*m + z*m**2 + i + n*m**3 and give n.
5
Rearrange (r - 3*r + 0*r)*(576*r + 568*r - 1 - 1084*r) to the form i*r + b*r**2 + l and give b.
-120
Rearrange (78*c**3 - 160*c**3 - 36*c**3)*(-2 + 2 + 4*c) to b*c**3 + l + a*c**4 + d*c + h*c**2 and give a.
-472
Express (-16*q + 6*q - 11*q)*(0*q**3 - 3*q**3 + 0*q**3) in the form o*q + i + v*q**2 + y*q**3 + k*q**4 and give k.
63
Express (3*p**4 + p - p)*(3 + 0 - 2) + 7*p**4 - 3*p + 2*p + 2*p as i*p + x*p**3 + a + d*p**4 + u*p**2 and give d.
10
Express (1 - 5 - 2)*(-7*g + 6 - 6) as c + o*g and give o.
42
Rearrange -6*w**2 - 2 + 2 + 10*w**2 to a*w + r*w**2 + j and give r.
4
Rearrange w**3 + w**3 - 6*w**3 + (2*w + 2 - 2)*(-3*w - 5*w + 9*w)*(-3 + 4 - 2)*(3 - 3*w - 3) to r*w**2 + s + m*w + f*w**3 and give f.
2
Rearrange 0*f**2 - 6*f**2 + 6*f**2 - 6*f**2 - 7*f**3 to v*f**3 + z + n*f + i*f**2 and give n.
0
Rearrange 23 - 4*a - 8*a**2 - 23 to c*a**2 + q + d*a and give d.
-4
Express (u - 2 + 2)*(-2*u + 6*u + 5*u) + 2 + u**2 - 2 - u + u - 3*u**2 in the form f + k*u + p*u**2 and give p.
7
Express -2*w**2 - w + w + 1 + 2*w**4 + 3*w**2 in the form g*w**2 + d*w + k + c*w**4 + j*w**3 and give c.
2
Express -3*i**4 - 1 + 2*i**3 - 7*i**4 + 0*i**3 - i**3 as j + y*i**4 + w*i**3 + g*i + k*i**2 and give g.
0
Rearrange -l + l - 5*l**2 - 4*l**2 to the form s + c*l**2 + m*l and give c.
-9
Express -2 - 12*y - 25*y + 69*y as o + w*y and give w.
32
Express 4 + 12 - 3 + q**3 as l + u*q + x*q**3 + m*q**2 and give x.
1
Express i + 115 + 4*i**4 - 114 + i as t*i**3 + d*i**2 + v + m*i**4 + k*i and give v.
1
Rearrange 46*w**2 - 137*w**2 + w + 46*w**2 + 9 + 47*w**2 to the form q + i*w + x*w**2 and give q.
9
Rearrange 1964*x - 1 - 41*x**2 - 1964*x to the form n*x + k*x**2 + u and give k.
-41
Rearrange -1 - 7*f + 1 + 22*f to the form y + s*f and give s.
15
Rearrange 2*j**2 - 3*j**3 + 2*j**3 - 3 + 7*j**4 - 3*j**4 to q + c*j + v*j**2 + l*j**4 + y*j**3 and give q.
-3
Express 4 - 2*t**2 + 0 + t - 15 - 14 as u + z*t* | {
"pile_set_name": "DM Mathematics"
} |
- 3. Let s(j) = -4 + 2*j**2 + j + 7*j + 14 - j**2. Let i be s(-7). Determine f(i).
3
Let d(p) = -4*p + 3. Let h(q) be the second derivative of 11*q**3/6 - 9*q**2/2 + 4*q. Let a(c) = -17*d(c) - 6*h(c). Determine a(-4).
-5
Suppose -h - m = 4*m - 27, -7 = -h - m. Let d(y) = 3*y + 0*y**2 + 5 - y**h + 0. Suppose 3*k - 2 = 4*u - 12, 2*k + 16 = 5*u. What is d(u)?
1
Let k(a) = 5*a**2 + 2*a - 1. Let v be k(1). Suppose -v = -0*w + 2*w. Let i(g) = g - 1. What is i(w)?
-4
Let t(n) = 4 + 2*n + 3 - 3 - n - n**2. Determine t(0).
4
Let f be (-190)/6 + 2/(-6). Let y be f/(-18) + 2/9. Let m(x) be the first derivative of -x**4/4 + x**3/3 - x**2/2 + 2*x - 37. Determine m(y).
-4
Suppose -f - x + 2 - 6 = 0, 0 = 2*x - 4. Let o(q) = q + 7. Give o(f).
1
Let d(p) = p**2 - p - 1. Let s(o) = 3*o**2 + 4*o - 16. Let t(i) = 4*d(i) - s(i). Give t(9).
21
Let m(w) be the second derivative of -w**4/12 - w**3/3 - w**2/2 + 2*w. Suppose -3*y = -p - 1, 8*y = 4*y + 4. Determine m(p).
-9
Let x(m) = -14*m - 38. Let o(w) = 5*w + 0*w + 15 - 2. Let b(d) = -17*o(d) - 6*x(d). Determine b(0).
7
Let k = 25 + 0. Suppose -k = 6*q - q. Let y(v) = -v**3 - 5*v + 5*v - 2*v - 7 - 5*v**2. What is y(q)?
3
Let w(g) = -g**2 + 6*g - 5. Let i be w(5). Let m(f) = 2*f**2 + 2*f + 7. Let b(t) = 53*t**2 - 1 - 52*t**2 + t + 0. Let h(k) = 3*b(k) - m(k). What is h(i)?
-10
Let u be (0/3 - -1) + 3. Let f(m) = 3*m**2 + 12*m + 10. Let i(r) = -2*r**2 - 6*r - 5. Let b(s) = -3*f(s) - 5*i(s). Calculate b(u).
-13
Let u(a) = 3*a + 4. Let v(q) = q**3 + 2*q**2 - 2*q - 2. Let f be v(-2). Suppose 4*x - t - 1 = 0, 4*x = -3*t + f*t + 7. Suppose 5*z + x = -19. Determine u(z).
-8
Let l(y) = y**3 + 2*y + 3. Suppose 21 = -3*q + 2*q + 3*n, 0 = n - 5. Let u = q + 4. What is l(u)?
-9
Let o(s) = s**3 + 6*s**2 + s + 2. Suppose -3*b + b = 40. Let y = b - -14. What is o(y)?
-4
Let c(o) = -o - 1. Let p(d) = 2*d + 1. Let y(r) = c(r) + p(r). Let u be y(5). Suppose -5*x - 10 = u*a, -4*x + 13 + 7 = -3*a. Let i(w) = 4*w + 2. Determine i(x).
10
Let j(k) be the second derivative of k**3/2 - 3*k**2/2 + 20*k. What is j(3)?
6
Let i(u) = -u**3 + 7*u**2 - 6*u - 5. Suppose -70 = 4*h - 6*h. Let z be 10/h + (-40)/(-7). Determine i(z).
-5
Suppose -13 = 4*a + 3. Let p(t) = -3 + t**2 + 0*t + 5*t - 2*t. Calculate p(a).
1
Let r(x) = 4*x - 10. Let f(q) = 2*q - 5. Let z(h) = -13*f(h) + 6*r(h). Calculate z(-4).
13
Let c(d) be the second derivative of -d**2 + 1/6*d**3 + 0 - 4*d. Calculate c(6).
4
Let c(n) = -1 - 7*n + 1 + 8*n. Let r be (1 - (-2 + 4))*1. Let m = 1 - r. Calculate c(m).
2
Let v(f) = -2 + 3*f**3 - 2*f**3 + f - 3*f. Suppose 0*a = -a + 6. Suppose 2*g - 8 = a*g. What is v(g)?
-6
Let t(d) be the third derivative of d**6/24 + d**4/24 - 3*d**2. Let j = 3 + 0. Suppose -j*a + 4 = a. Determine t(a).
6
Let a(h) = -h**3 + h**2 + h - 7. Let k(o) = -2*o + 5*o - o**2 + 1 - 3*o. Let f(j) = -a(j) - 5*k(j). Suppose 3*y = y + 4, 5*d = -3*y - 14. Give f(d).
6
Let w(k) = -k**3 - k**2 + k + 5. Let z(a) = -a**2 - 8*a + 9. Let x be z(-9). Give w(x).
5
Let f(s) be the first derivative of -s**4/4 + 2*s**3/3 - s**2 + s - 22. Calculate f(2).
-3
Let n = 5 + -3. Let l(q) = q**2 - 2*q - 2. Let a(h) = 2*h**2 - 4*h - 5. Let i(y) = 2*a(y) - 5*l(y). What is i(n)?
0
Let s(t) = t**3 - t**2 - 3*t - 4. Let q(l) = l**2 - 9*l - 10. Let h be q(10). Suppose -6 = -h*n - 2*n. Give s(n).
5
Let r(i) = i - i + 0*i + i**2 + 5 - 10*i. Calculate r(10).
5
Let n(u) = -u - 6. Let d be -2*((-36)/(-8) + -3). Give n(d).
-3
Suppose -5*m + 14 = 4*b, -11 = -b - 7*m + 2*m. Let x(h) = -7*h**2 - h + 1. Let p(a) = -1 + 3*a + 7*a**2 + 2*a - 4*a. Let u(n) = 5*p(n) + 4*x(n). Determine u(b).
7
Let g(x) = -x**2 + x. Let m(t) = -5*t**2 + 6*t - 7. Let j(a) = 6*g(a) - m(a). Suppose 0 = 2*l - 2 - 6. Suppose 0*c + c = 2*n + 10, -4*c + l*n = -20. Give j(c).
7
Let m(i) be the third derivative of -1/12*i**4 - 1/6*i**3 + 0*i - 5*i**2 + 0. Calculate m(-1).
1
Suppose -9*a = -7*a - 6. Suppose 3*s = -a*q, -5 - 3 = -4*q - 2*s. Let l(t) = -t. Calculate l(q).
-4
Suppose c = -4*c - 35. Let g(k) = 2*k + 9. Calculate g(c).
-5
Let o(f) = f + 2. Suppose -5*i + 5*x = -45, -3*i - 3*x = -0 + 3. Let q = 1 + i. Suppose 8*z = 3*z - q. What is o(z)?
1
Let u = -20 - -35. Suppose l + u = 4*l. Let q(z) = z**3 + 0*z + 1 - z - 3*z**2 - 2*z**2. Calculate q(l).
-4
Let w(y) = 1 + 1 + 0 - y. Let m(p) = -2*p + 5. Let g be m(4). What is w(g)?
5
Let c(q) be the second derivative of q**4/12 + 5*q**3/6 - 3*q**2 - 6*q. What is c(-5)?
-6
Suppose 6*h - y - 29 = 3*h, 4*y + 52 = 4*h. Let v(o) = o - 6. Let n be v(h). Let c(a) be the third derivative of -a**5/60 - a**3/3 + a**2. Calculate c(n).
-6
Let x(m) be the first derivative of m**3/3 + 3*m**2 - 4*m + 3. Let a = 2 + -8. Let n be x(a). Let u(k) = 2*k + 1. Determine u(n).
-7
Let v(l) = 8*l**3 - 2*l**2 - 11*l - 6. Let b(u) = -7*u**3 + 2*u**2 + 9*u + 5. Let y(o) = 6*b(o) + 5*v(o). Suppose 0 = a + 5*z + 4, -a - 2*z = 1. What is y(a)?
-1
Let s(p) be the first derivative of -p**4/4 - 7*p**3/3 + 4*p**2 + 3*p + 8. What is s(-8)?
3
Let t(a) = a**2 - 2*a. Let g be 4*(-1 - 0)*-1. Calculate t(g).
8
Suppose 0 = 5*l + 1 - 11. Let m(z) = -13*z**3 + 7*z**2 - 12*z + 9. Let b(y) = 3*y**3 - 2*y**2 + 3*y - 2. Let c(i) = 9*b(i) + 2*m(i). Determine c(l).
-2
Let k(m) be the third derivative of 0*m + 3*m**2 + 0 + 1/60*m**5 + 1/3*m**3 + 11/24*m**4. Let n be k(-11). Let o(u) = u**2 - 3*u - 2. Determine o(n).
-4
Let c(k) = 6 + 5*k - 9*k - 3*k + 8*k. Give c(-6).
0
Let u(f) = -2*f**3 + 7*f**2 - 73*f + 3*f**3 + 79*f. Calculate u(-6).
0
Suppose 4*l + 2 = 6*l. Let x(o) = -4*o**2 + 2*o - 1. Give x(l).
-3
Let d be 3 + (-11)/4 - (-1)/(-4). Let q(b) be the third derivative of -2*b**2 + 0*b + d - 1/6*b**3 + 1/8*b**4. What is q(-3)?
-10
Let x(l) be the third derivative of 1/24*l**4 + 0 + 1/60*l**5 + 0*l**3 + 0*l + 2*l**2. Give x(-3).
6
Let k = -7 - -1. Let p(t) = -4*t - 4. Let j(g) = g + 1. Let o(i) = k*j(i) - p(i). Suppose -8*d = -3*d + 20, 4*x + 20 = -2*d. What is o(x)?
4
Let h(u) = u**3 + 4*u**2 - 2*u + 4. Suppose -3*j = 7 + 2. Let x(d) = d**3 + 2*d**2 - 2*d - 1. Let y be x(j). What is h(y)?
12
Let f(c) be the third derivative of c**5/30 + c**4/8 - c**3/3 + 10*c**2. What is f(2)?
12
Let c(n) = 2*n**2 + 2*n - 2. Let m be c(-2). Suppose 5*f = -3*i + 20, -4*f - i + 10 = 1. Let p = m - f. Let t(y) = 3*y**3 - 2*y**2 + 1. Give t(p).
2
Let w(b) be the second derivative of -b**3/6 - 7*b**2/2 + 5*b. Calculate w(-6).
-1
Let l(z) = 7*z**2 + 7*z - 7. Let y(u) = u**2 + u - 1. Let q(n) = -l(n) + 6*y(n). Let m(i) = 4*i**2 + 8*i + 1. Let j(x) = m(x) + 5*q(x). Give j(5).
-4
Let z(s) = s**2 + 5*s - 2. Suppose 2*d = -4*l - 6, 5*d + 7 = -4*l + 2*l. Let m be d/5 + 114/(-30). Give z(m).
-6
Let b = -93 + 94. Let l(x) = -11*x**2 - 1. What is l(b)?
-12
Let x be 1 - (1*-6 + 2). Let p(j) = -7 + 7*j - 2*j**2 + j**2 + 3. Determine p(x).
6
Let g(c) be the second derivative of c**6/180 - c**5/40 + c**4/12 + c**3/6 + 2*c. Let i(n) be the second derivative of g(n). Give i(2).
4
Suppose 4*s - l + 4*l = 2, 2*l = 4. Let z be (2 + (s - -2))*2. Let i(p) = -2*p**2 - 4 - 3 - 2*p**3 + 2*p + z. Determine i(1).
-3
Let l(v) be the third derivative of -v**6/120 - v**5/10 + 5*v**3/6 + v**2. Let b = 13 + -19. Give l(b).
5
Let s(y) = y**2 - y - 2. Let i be s(2). Let k be (-3)/((i - -1)*1). Let w(x) be the third derivative of x**4/12 + x**3/3 - 2*x**2. Calculate w(k).
-4
Let v(y) = -y**2 - y - 7. Let g(t) = -9 - 4*t - 3*t - 3*t - t**2. Let p(k) = k**2 + 12*k + 2. Let l be p(-11). Let r be g(l). Determine v(r).
-7
Suppose -16 = -4*y + 12. Suppose 2*p = 4*i - 23 - y, 0 = 4*i - p - 25. Let b(r) = -r + 8. Calculate b(i).
3
Let c(y) = -2*y + y + 5 - 11. What is c(-4)?
-2
Let p(a) = a. Let j(d) = -2*d - 1. Let t(g) = -2*j(g) - 3*p(g). Give t(-4).
-2
Let s = 2 - 2. Let l(g) = -g**3 - 2*g**2 + g + 1. Let h(c) = 2*c**3 + 3*c**2 - 2*c - 3. Let b(a) = -3*h(a) - 5*l(a). Calculate b(s).
4
Let a(v) = -2*v - 8. Let t(d) = 6*d + 23. Suppose 5*r + 44 = r. Suppose 0 = -s + 3*s + 8. Let b(x) = r*a(x) + s*t(x). What is b(-5)?
6
Let n(s) = s**3 + 2*s**2 + 1. Let c be n(-2). Let b(t) = 1 + 4*t - 3*t + 9*t**2 - 2*t. Give b(c).
9
Let c(u) = u**3 - u**2 - u + 2. Suppose -2*h - 3*n = 21, 2*n - n = 5*h + 27. Let d be 2/h - (-14)/6. What is c(d)?
4
Suppose o + 4*q = 13, -5*q + 4 = -16. Let a(s) = s**3 + 2*s**2 - s + | {
"pile_set_name": "DM Mathematics"
} |
n 3302962 is divided by 612.
610
Calculate the remainder when 6741 is divided by 2212.
105
What is the remainder when 371320 is divided by 449?
446
What is the remainder when 92882 is divided by 76?
10
What is the remainder when 2740 is divided by 47?
14
Calculate the remainder when 12408 is divided by 365.
363
Calculate the remainder when 2197211 is divided by 3.
2
What is the remainder when 319356 is divided by 63866?
26
What is the remainder when 46240 is divided by 2312?
0
What is the remainder when 343871 is divided by 7475?
21
Calculate the remainder when 4743 is divided by 296.
7
Calculate the remainder when 9342 is divided by 1037.
9
What is the remainder when 22592 is divided by 230?
52
What is the remainder when 9877 is divided by 1633?
79
What is the remainder when 18592 is divided by 52?
28
Calculate the remainder when 547 is divided by 139.
130
What is the remainder when 16722 is divided by 431?
344
Calculate the remainder when 16234 is divided by 1360.
1274
Calculate the remainder when 51577 is divided by 163.
69
Calculate the remainder when 281261 is divided by 22.
13
What is the remainder when 10877 is divided by 259?
258
Calculate the remainder when 16398 is divided by 5.
3
What is the remainder when 391 is divided by 119?
34
What is the remainder when 251803 is divided by 782?
781
Calculate the remainder when 2855 is divided by 2289.
566
Calculate the remainder when 240928 is divided by 60223.
36
Calculate the remainder when 24535 is divided by 193.
24
What is the remainder when 1337 is divided by 187?
28
Calculate the remainder when 1573 is divided by 98.
5
What is the remainder when 675 is divided by 229?
217
What is the remainder when 278890 is divided by 61?
59
What is the remainder when 203194 is divided by 2309?
2
What is the remainder when 4462 is divided by 1115?
2
Calculate the remainder when 10290 is divided by 12.
6
Calculate the remainder when 142670 is divided by 258.
254
Calculate the remainder when 4046 is divided by 8.
6
What is the remainder when 411559 is divided by 27?
25
What is the remainder when 72061 is divided by 17890?
501
What is the remainder when 5644 is divided by 39?
28
What is the remainder when 1548 is divided by 177?
132
Calculate the remainder when 1375 is divided by 309.
139
Calculate the remainder when 24681 is divided by 132.
129
What is the remainder when 5923 is divided by 2905?
113
What is the remainder when 2180 is divided by 433?
15
Calculate the remainder when 11335 is divided by 285.
220
Calculate the remainder when 762 is divided by 97.
83
What is the remainder when 1263505 is divided by 111?
103
What is the remainder when 1919 is divided by 383?
4
What is the remainder when 270828 is divided by 95?
78
What is the remainder when 631071 is divided by 1635?
1596
What is the remainder when 5973 is divided by 231?
198
Calculate the remainder when 14017 is divided by 14.
3
Calculate the remainder when 56099 is divided by 790.
9
Calculate the remainder when 659998 is divided by 150.
148
Calculate the remainder when 17126 is divided by 99.
98
What is the remainder when 162325 is divided by 413?
16
Calculate the remainder when 5783 is divided by 477.
59
Calculate the remainder when 12107 is divided by 21.
11
Calculate the remainder when 3534 is divided by 413.
230
What is the remainder when 43606 is divided by 46?
44
Calculate the remainder when 4189 is divided by 75.
64
Calculate the remainder when 18660 is divided by 6215.
15
What is the remainder when 1362601 is divided by 38?
35
Calculate the remainder when 5687 is divided by 263.
164
Calculate the remainder when 10328 is divided by 45.
23
Calculate the remainder when 6764 is divided by 957.
65
What is the remainder when 394852 is divided by 56406?
10
Calculate the remainder when 7044 is divided by 708.
672
Calculate the remainder when 55917 is divided by 20.
17
What is the remainder when 38591 is divided by 2411?
15
Calculate the remainder when 642 is divided by 608.
34
Calculate the remainder when 1288 is divided by 66.
34
Calculate the remainder when 3295923 is divided by 306.
303
What is the remainder when 58993 is divided by 11?
0
Calculate the remainder when 22897 is divided by 1092.
1057
Calculate the remainder when 4458 is divided by 1027.
350
Calculate the remainder when 331737 is divided by 58.
35
Calculate the remainder when 17120 is divided by 350.
320
Calculate the remainder when 1249 is divided by 83.
4
What is the remainder when 1666 is divided by 639?
388
What is the remainder when 31622 is divided by 472?
470
Calculate the remainder when 34791 is divided by 2271.
726
What is the remainder when 40782 is divided by 10195?
2
What is the remainder when 709 is divided by 150?
109
What is the remainder when 1199 is divided by 90?
29
What is the remainder when 87846 is divided by 31?
23
Calculate the remainder when 841426 is divided by 841415.
11
What is the remainder when 99325 is divided by 24831?
1
Calculate the remainder when 1972869 is divided by 212.
209
What is the remainder when 367289 is divided by 165?
164
Calculate the remainder when 1889 is divided by 421.
205
Calculate the remainder when 18113 is divided by 43.
10
What is the remainder when 771243 is divided by 172?
167
Calculate the remainder when 56785 is divided by 617.
21
What is the remainder when 10068 is divided by 55?
3
What is the remainder when 467805 is divided by 176?
173
Calculate the remainder when 782332 is divided by 1766.
1760
What is the remainder when 11754 is divided by 80?
74
Calculate the remainder when 79345 is divided by 204.
193
What is the remainder when 349989 is divided by 9997?
94
Calculate the remainder when 800 is divided by 354.
92
Calculate the remainder when 6231 is divided by 297.
291
What is the remainder when 5305 is divided by 18?
13
Calculate the remainder when 5941 is divided by 104.
13
Calculate the remainder when 255933 is divided by 2169.
2160
What is the remainder when 823 is divided by 189?
67
What is the remainder when 592 is divided by 48?
16
Calculate the remainder when 23732 is divided by 746.
606
What is the remainder when 27251 is divided by 34?
17
What is the remainder when 437 is divided by 426?
11
Calculate the remainder when 1307 is divided by 919.
388
What is the remainder when 1622331 is divided by 642?
639
What is the remainder when 178236 is divided by 61?
55
What is the remainder when 84868 is divided by 309?
202
Calculate the remainder when 352196 is divided by 347.
338
Calculate the remainder when 559 is divided by 33.
31
Calculate the remainder when 10510 is divided by 219.
217
Calculate the remainder when 20860 is divided by 71.
57
What is the remainder when 69677 is divided by 61?
15
Calculate the remainder when 764 is divided by 11.
5
What is the remainder when 119696 is divided by 140?
136
Calculate the remainder when 14415 is divided by 82.
65
Calculate the remainder when 213359 is divided by 30.
29
What is the remainder when 235163 is divided by 58788?
11
Calculate the remainder when 68718 is divided by 36.
30
Calculate the remainder when 49100 is divided by 4908.
20
What is the remainder when 1270303 is divided by 423433?
4
What is the remainder when 3096148 is divided by 15?
13
What is the remainder when 10786 is divided by 67?
66
What is the remainder when 661333 is divided by 106?
105
Calculate the remainder when 76322 is divided by 127.
122
What is the remainder when 467 is divided by 71?
41
What is the remainder when 11303 is divided by 23?
10
Calculate the remainder when 5590 is divided by 505.
35
What is the remainder when 200848 is divided by 298?
294
Calculate the remainder when 19754 is divided by 386.
68
Calculate the remainder when 6639 is divided by 252.
87
What is the remainder when 21303 is divided by 425?
53
What is the remainder when 137285 is divided by 18?
17
Calculate the remainder when 77868 is divided by 282.
36
Calculate the remainder when 109673 is divided by 5220.
53
What is the remainder when 2283 is divided by 284?
11
What is the remainder when 23173 is divided by 77?
73
What is the remainder when 2138 is divided by 89?
2
What is the remainder when 91753 is divided by 250?
3
Calculate the remainder when 26789 is divided by 75.
14
Calculate the remainder when 8518 | {
"pile_set_name": "DM Mathematics"
} |
or y.
-2
Let z(w) = w**3 - 7*w**2 - 12*w + 35. Let b be z(8). Suppose 2*l - g = 11 + 46, -2*g + 6 = 0. Solve -5 = 4*c - 2*c + u, b*c - 3*u + l = 0 for c.
-5
Let d(q) = 3*q - 26. Let f be d(13). Solve 3*s - f = 2*x, -x + 2*x = 1 for s.
5
Suppose 4*b - 26 = 2*b - a, 2*b - 3*a = 42. Solve -2*i = 2*s + 14, 8*i - 5*s - b = 3*i for i.
-2
Let o(f) = -4*f - 1. Let k be o(-1). Let d be 1/k + 16/(-3). Let v = 0 - d. Solve -2*y - 12 = v*r + 9, 6 = 3*y - 5*r for y.
-3
Let a be 1 + 4/(1 - -3). Suppose 2*c - c - w - a = 0, 3*c = 2*w + 10. Solve -3*i - 7 = -2*n, 2*i + c + 16 = -3*n for n.
-4
Suppose 2*r + 2*r - 23 = -u, 20 = u + 3*r. Let q(z) = 2*z + 9. Let j be q(-8). Let m = u + j. Solve 2 = -l, -14 = m*c - 0*l - l for c.
-4
Suppose -10 = -5*g + 20. Let t = g - 3. Solve 0 = t*h, 2*r - 6*r + 2*h - 20 = 0 for r.
-5
Suppose -c - 2*h - 14 = -4*c, h + 17 = 4*c. Let q be (-4)/6 + 106/6. Solve -y - 4*y - c*s - 13 = 0, -4*y - s = q for y.
-5
Suppose -3*v = d - 15 + 1, 2*v = -3*d + 35. Suppose -y + 5 = 0, 0 = 4*a - 2*y + 1 + 1. Let t = a + d. Solve -3 - 3 = 3*x - 4*z, -x = -5*z + t for x.
2
Let j = -15 - -30. Suppose 0 = -2*h - h + j. Suppose 2*a + a - 3*f - 45 = 0, 0 = -4*a - 5*f + 60. Solve 2*p + p + a = -d, -4*d - 32 = h*p for d.
-3
Let n(u) = -u**2 - 5*u - 1. Let k be n(-2). Suppose 2*i + i = 0. Suppose 2*j - 58 = -i. Solve 5*m = -3*d - j, -k*m + 0*d - 26 = 2*d for m.
-4
Let t(i) = i**3 - i**2 - 4*i + 3. Let n be t(2). Let b(f) = -f**3 - f**2 - f - 1. Let p be b(n). Solve 0 = -4*c - 3*v - 32, 3*c - 3*v + 3 = -p for c.
-5
Let h = -3 + 2. Let w be (-3)/h*11/3. Suppose 4*o = -w + 27. Solve o*m + 11 = -i, 3*m + 5*i + 13 = 4*m for m.
-2
Suppose 0 = 4*p - 28 + 8, -f - 10 = -2*p. Let c be -1 - (-2 - (0 + 2)). Solve -n - c*t + 8 = -2*t, f = 4*n + 3*t - 28 for n.
4
Let f(v) = v**2 + 5*v + 10. Let d be f(-3). Solve 2*p + 3*o - 15 = 0, -4*p = -3*p - d*o + 20 for p.
0
Let z be ((-123)/3 + 3)/(-2). Solve -8 = n + 2*i - 4*i, -z = -2*n - 3*i for n.
2
Let a = -9 - -20. Solve q - 5*u + 23 = 0, -a = 5*q - 5*u + 4 for q.
2
Suppose -3*f + 24 = -0*f. Suppose 2*t + f = 5*i - 3*i, -4*t - 4 = 0. Solve 0*v + 10 = 4*o - v, 2 = i*o + 2*v for o.
2
Suppose 3*l = l + 5*c + 34, c = -3*l + 17. Suppose 4*b - l*b + 18 = 0. Solve -3*h + 0*a + 4*a = -13, -b = -2*h + 2*a for h.
-1
Let a be 1/5 + 5/(-25). Let l(b) = -5*b - 3. Let t(y) = -11*y - 7. Let k(j) = 13*l(j) - 6*t(j). Let n be k(a). Solve n*q + 3*s = 4*q, q + 1 = 4*s for q.
3
Let s be 1/3 - (11/(-3) - 1). Solve -2*y + h - 13 = -4*y, -h = -s for y.
4
Suppose 0 = -2*h + 9 - 3. Suppose 2*n + x - 1 = 0, -n + 5 = -2*x - 2*x. Let u = n + h. Solve 3 = 3*g - 6, -3*g - 3 = -u*f for f.
3
Let d = 84 - 74. Solve -2*s - 4 = -2*a, s + 4*a = -s - d for s.
-3
Suppose 3*u = g + 15, 3*g + 8 + 1 = 0. Let k(d) = 7*d + 31. Let r be k(-4). Solve -o + 5*o - 20 = u*b, r*o - 15 = -5*b for b.
0
Suppose 5*t = 17 - 77. Let q(m) = m**3 + 13*m**2 + 13*m + 16. Let k be q(t). Solve 0 = -2*y + 6, 0*y = -r + 2*y - k for r.
2
Let o = 9 - 13. Let t be (1 - (-3)/(-2))*-8. Let c = o + t. Solve -j + 3 = -4*m, c*m + 4*j + 2 = 2*m for m.
-1
Let b(d) = d**2 - 5*d + 2. Let r be b(5). Suppose r*n - 2 - 2 = 0. Solve 0*k - 6 = n*k, -2*x - 10 = 2*k for x.
-2
Suppose -2*r - 16 = -3*f, 19*f + 2 = 15*f - 2*r. Solve -5*n + f*h = 4, 0 = -n + 4*h - 11 + 3 for n.
0
Let w = 91 - 147. Let z be ((-9)/(-6))/((-3)/w). Solve 0 = -3*l - 12, 4*j + 2*l + z = 8 for j.
-3
Suppose -2*a = -10, -3*a = -4*h - 2*a + 11. Solve -v - 4*k - 2 = -k, -3*k = h*v + 17 for v.
-5
Let n(r) = 2*r - 5. Let o be n(5). Let v(c) = -c + 4. Let d be v(0). Solve 14 = -y + o*t - 11, -20 = d*y - 4*t for y.
0
Let o(u) = -u**2 + 2*u - 3. Let x be o(3). Let k = 13 + x. Solve -2*d = 5*z + 11, 4*d = 4*z + z - k for z.
-1
Let v = -54 + 54. Solve 5 = -2*j - j + t, -4*j + t - 7 = v for j.
-2
Let v be -3 + 1 + (-6 - -11). Suppose v*c = -c. Solve 3*g + u - 10 = c, -2*g - 3*g = 5*u for g.
5
Let w(d) = d**3 - 4*d**2 + 6*d - 7. Let t be w(3). Solve -4*v = -q - 5, -4*v = -t*q - 3 - 3 for q.
-1
Let k be ((-3)/(-3))/1 - -16. Suppose -2*a - 2*a + k = x, -5*x + 4*a = -13. Suppose -x*y = -y. Solve y = -3*t + 2*p + 10, 4*t - p - 11 = t for t.
4
Suppose 0 = 10*a - 8*a - 8. Solve -4*k - 3*x = -2, -k - 13 + 4 = -a*x for k.
-1
Let h(w) = -4*w**3 - w**2 + 9*w**3 + w - w**2. Let d(s) = s**2 - 7*s + 7. Let z be d(6). Let j be h(z). Solve 3*l = 6*l + r + 8, -4 = -j*l - 5*r for l.
-4
Let c(k) be the second derivative of -k**3/6 + 9*k**2/2 + 10*k. Let s be c(9). Solve -u = -5*j + 24, s = 3*j + u - 2 - 14 for j.
5
Let u be (-60)/(-14) + (-8)/28. Solve 8 + 11 = -u*a + q, 3*q = 9 for a.
-4
Let c(b) = -b**3 - 4*b**2 + 4*b - 7. Let m be c(-5). Let h be 0/(-1) + (-20)/m. Suppose -5*p + 0 = -h. Solve -4*n - p*o = -3*n + 11, -3*n + o - 12 = 0 for n.
-5
Let r(s) = -s**2 + 3*s + 8. Let c be r(4). Suppose 2*l - 14 = -c. Solve -41 = -l*j - 4*b, 5*j - 4 - 25 = -b for j.
5
Suppose 0*k + 34 = 3*k + 5*t, -5*t + 19 = -2*k. Solve -y = k*j - 2 + 6, 0 = 4*j + 5*y + 9 for j.
-1
Let y = 6 + -18. Let a = 17 + y. Let t be 6/15 + (-2)/a. Solve h - 14 = -5*d, -d = -t*h - 2*h + 6 for h.
4
Suppose -3*a + 6 = w - 9, 2*w + 15 = 3*a. Let k be (-2 + 1)/((-1)/6). Solve -2*i + 3*i = -3*u - a, -2*i - k = 2*u for u.
-1
Let x be 12/(-18) - 20/(-3). Let h = -1 + x. Solve -3 = -3*c - g, h = 5*c - 0*c + 3*g for c.
1
Let n(m) = 2*m**3 - 2*m**2 + m. Let c be n(1). Let u = 2 + c. Suppose -6*s - 10 = -7*s - 2*b, 0 = -2*s + u*b - 8. Solve k + 2 = -4*q - 0*k, s*q = 4*k + 8 for q.
0
Suppose -o = 4*l - 13 - 9, 4*o + 3*l = 23. Suppose o*b = b. Solve 0 = t - b*h - 3*h - 17, 2*h = -t - 3 for t.
5
Suppose -4*o - 3 - 5 = 0. Let c = o - -3. Let r be (c/(-2))/((-3)/18). Solve -8 = 3*w + 2*s, 0*s + 7 = -5*w + r*s for w.
-2
Suppose 3*q - 10 = q. Suppose 2*c - 3*c = -4*w - 5, -c + 3*w = -q. Let t(r) = -r**2 + 5*r + 1. Let y be t(4). Solve 5*k - y*z = -c, 4*k + 0 + 3 = 3*z for k.
0
Let i = 14 - 17. Let v be (-3 - i)/(2/2). Solve 2*l - g - 7 = v, -5 = 2*l + 3*g - 0 for l.
2
Suppose -4 = a + 5*q, 0 = -4*a - q + 5 - 2. Let f(m) = 3*m - 1 - a + 3*m - 5*m. Let v be f(6). Solve 2*d + 10 = 7*h - 3*h, 5*h + v*d - 6 = 0 for h.
2
Let h be (-30)/(-9)*(-12)/(-5). Let s be (-2)/(-4) - (-36)/h. Solve 22 = -5*u + r + 4, 4*u + s*r = 3 for u.
-3
Suppose 0 = 5*g - 3 - 7. Suppose -h = r - 5*h + 21, g*r - h = -14. Let t(j) = -j**2 - 6*j + 3. Let m be t(r). Solve s = 3*c + 9, 5*s + m = -5*c - 27 for c.
-4
Suppose 3*f - 22 = -5*s - 0*f, 0 = -5*f + 20. Solve 2*h = s*x, 4*h - 2 = x - 5 for h.
-1
Suppose 3*i - 36 = -5*w, -3*i - 4*w = 2*i - 73. Let u = i + -13. Solve f - u*f - 5*c - 10 = 0, -2*f = -c - 15 for f.
5
Let i be 6/(-10) - (-128)/5. Let a be i/10*(-8)/(-10). Suppose 2*c = 7*c - 20. Solve -a*d = c*v - 2, 3*d = 2*d + v - 5 for d.
-3
Let h(p) = p**2 + 6*p - 5. Let j be h(-7). Solve 4*f = 4*z - 8 - 8, -5*z + 6 = j*f for f.
-2
Suppose -3*n = 4*d + 24, -9 = -d + n + 2*n. Let z be (-2 - -1 - d)/1. Suppose z*t - 2 = t. Solve 3*v + 7 = 5*q, -3*v = -t*q + v for q.
2
Suppose 18*s - 32 = 14*s. Solve -4*y = -2*y + s, -4*f + 5*y = -28 for f.
2
Let d = 63 - 60. Solve 2*u + 2*u + 4*y - 40 = 0, 10 = d*u - y for u.
5
Suppose 3*c + 0*c - 3 = 0. Solve -7 - c = -w + l, 3*w = -3*l for w.
4
Let r = -16 + 23. Suppose x + 5*m - r = 0, 4*x + x - 5*m = 5. Solve -x*l - 4*s + 16 = 0, -s - 1 = -5*l + 2*s for l.
2
Let d = -9 - -16. Solve -3 = -a + 2*p, 5*a - d*a - 5*p = 30 for a.
-5
Let o be (1/3)/((-2)/18). Let g be (o/(-2))/((-15)/(-20)). Solve 5*p = 4*l - 35, -g*l + 4*p = -0*p - 22 for l.
5
Let n = 7 - 4. Suppose -86 = -3*o + d, n*d + d = 4*o - 112. Solve 24 = 4*v + 2*p, 3*v + 4*p = o - 6 for v.
5
Suppose 0 = 2*t - 2*n + 12, -2*n - 25 = 4*t - 7*n. Let a = -14 + 5. Let o = t - a. Solve -o*f - r + 5 = 0, 2*r = -2*f - f + 5 for f.
1
Suppose a - 231 + 229 = 0. Solve 5*n = l - 7, l = -0*n + a*n + 1 for n.
-2
Let a be 7 + -1 + -16 + 15. Solve 2*m = 4*z, a*z - 3*m = 3*z for z.
0
Let r(h) = h + 5. Let n be r(-3). Solve d + 2*z + n = 0, 4 = -4*d - 3*z - 4 for d.
-2
Let y(r) = -2*r - 4. Let x be y(-4). Solve 2*l = z + 5, -z + x*l - 6 = 5 for z.
1
Suppose -3*v + 30 = 3*f, 0*f + 5*f = 2*v + 64. Solve -3*t - 22 = -4*p, -f - 6 = 3*t - 3*p for t.
-2
Let a(u) = u**3 - 2*u**2 - 2*u. Let j be a(3). Let v = 48 + -14. Let s be (1 - v)/(-3)*j. Solve 4*b + 5*g = -s - 0, -b - 2 | {
"pile_set_name": "DM Mathematics"
} |
. Determine w(h(l)).
8*l**4
Let g(t) = -9*t**2 + 3710338*t + 10*t**2 - 3710338*t. Let o(x) = -25*x + 97*x + 79*x. What is o(g(i))?
151*i**2
Let u(q) = 8*q + 666523800 - 666523800. Let r(i) = -397*i + 1. Determine u(r(l)).
-3176*l + 8
Let l(f) = -3*f - 3*f + 10*f - 5*f. Let c(o) = -8*o + 9. Let x(s) = -2*s. Let g(j) = c(j) - 6*x(j). What is l(g(u))?
-4*u - 9
Let x(g) = 1053*g. Let r(l) = 37456*l. Calculate r(x(u)).
39441168*u
Let x(q) = -398905*q - 4. Let n(i) = 30*i. Give x(n(m)).
-11967150*m - 4
Let i(h) = -h**2. Let n(p) be the third derivative of -431*p**5/30 + p**2 - p - 82. What is i(n(m))?
-743044*m**4
Let o(z) = -5*z**2. Suppose -287*d = 247*d - 2670. Let h(k) be the third derivative of 1/20*k**d + 0*k**4 + 19*k**2 + 0*k**3 + 0*k + 0. Determine h(o(l)).
75*l**4
Let l(i) = -144*i - 252. Let b(s) = 17*s + 30. Let d(z) = -42*b(z) - 5*l(z). Let q(p) = p + 11. What is d(q(c))?
6*c + 66
Suppose -i + 0*i = 2*i + 7*i. Let h(j) be the second derivative of i*j**2 - 35*j - 5/6*j**3 + 0. Let d(s) = -4*s**2. Determine h(d(f)).
20*f**2
Let x(b) = b**2 + 305. Let j(m) = m**2 - 2775. Calculate j(x(o)).
o**4 + 610*o**2 + 90250
Let p(b) be the second derivative of 121*b**3/3 - 561*b. Let w(s) = -3*s**2. Determine p(w(t)).
-726*t**2
Let i(t) be the third derivative of -14*t**4/3 + 141*t**2. Let u(o) = 5*o**2. Determine i(u(b)).
-560*b**2
Let s(m) = -96*m**2 + 75*m + 15. Let q(a) = 25*a**2 - 20*a - 4. Let r(y) = -15*q(y) - 4*s(y). Let o(u) = -30*u**2. Determine r(o(w)).
8100*w**4
Let m(z) be the third derivative of z**7/70 - 15*z**4/8 + 2*z**2 + 25. Let d(r) be the second derivative of m(r). Let v(x) = -x. Determine v(d(w)).
-36*w**2
Let g(d) = d + 71. Let m(n) be the third derivative of -n**4/24 - 827*n**2. Determine g(m(p)).
-p + 71
Let n(h) = -947782*h**2. Let q(s) = 7*s. Determine n(q(g)).
-46441318*g**2
Let r(l) = -l + 2. Let i(k) = -4*k + 2. Let w(y) = i(y) - r(y). Let o(z) be the third derivative of 0*z**3 + 0*z - 6*z**2 - 5/24*z**4 + 0. Calculate o(w(q)).
15*q
Let g(w) = -2*w**2 + 3*w + 72. Let b(j) = -13*j. Determine b(g(q)).
26*q**2 - 39*q - 936
Let z(u) be the first derivative of -2*u**3/3 - 6826. Let g(a) be the second derivative of 34*a**3/3 - 6*a. Give g(z(x)).
-136*x**2
Let s(f) be the third derivative of 13*f**5/60 + 7100*f**2. Let r(l) = -l + 115. What is r(s(w))?
-13*w**2 + 115
Let q(d) = -3*d. Let i(n) = n**3 - 7*n**2 - 13*n - 7. Let z be i(9). Let v(w) = -z*w - 14*w + 10*w - 68*w - 2. Give q(v(f)).
330*f + 6
Let x(r) = 2*r**2 - 1026*r. Let q(y) be the second derivative of -y**4/12 - 960*y. What is x(q(n))?
2*n**4 + 1026*n**2
Let m(b) = -1910284*b. Let s(y) = 6*y**2. Determine s(m(t)).
21895109763936*t**2
Let g(o) = 2*o + 33. Let b(m) = -44074*m. Determine g(b(p)).
-88148*p + 33
Let d(z) = 165*z - 25. Let g(t) = -39*t. Calculate d(g(u)).
-6435*u - 25
Let t(k) = 2*k. Let c(q) = -q - 863245. Calculate c(t(j)).
-2*j - 863245
Let d(b) be the third derivative of b**4/8 - 5802*b**2. Let l(z) = -351*z - 65. Let j(v) = 16*v + 3. Let s(n) = -65*j(n) - 3*l(n). Calculate s(d(k)).
39*k
Let l(c) = -179 - 4*c + 180 - 183. Let p(d) = -2*d. Give p(l(b)).
8*b + 364
Suppose -4*l - 2*q + 12 = 0, -11*l + 9*l - 3*q + 10 = 0. Let w(c) = 12 - 13 + c**l + 1. Let g(p) = -2*p**2 + 2. Give g(w(h)).
-2*h**4 + 2
Let n(s) = 3*s**2. Suppose -96 = -4*h - 4*q, 41 = 4*h - 4*q - 79. Suppose 3*t = 3 + h. Let i(v) = 11*v - 10*v + t*v. Calculate n(i(r)).
363*r**2
Let v(p) = 9*p - 3. Let q(c) = -2397 + 2399 + 86*c**2 + 13*c**2. Give q(v(o)).
8019*o**2 - 5346*o + 893
Let w(y) = 2*y**2. Let v(t) = 5*t + 38. Let r be v(-7). Let o be (r - (-22)/(-10))/(4/10). Let q(l) = 4*l - l - o*l + 4*l. What is w(q(a))?
50*a**2
Let a(n) = -2*n**2. Let v(h) = h**2 + 2*h + 1. Let p(l) = -100*l**2 + 2*l + 1. Let o(k) = 9*k - 1. Let y be o(0). Let i(t) = y*v(t) + p(t). Calculate a(i(u)).
-20402*u**4
Let l(m) be the second derivative of -m**4/3 + 67*m**3/3 + 2*m - 328. Let y(i) = 2*i**2. Give l(y(k)).
-16*k**4 + 268*k**2
Let p(l) be the first derivative of -12*l**3 - 2*l - 3. Let y(j) = 12 + 2*j - 3*j - 11. Let m(r) = -2*r**2 - r + 1. Let v(a) = -m(a) + y(a). Determine v(p(d)).
2592*d**4 + 288*d**2 + 8
Let o(j) = -29*j + 3. Let z(f) be the third derivative of -f**4/24 + 16*f**3/3 + f**2 - 8*f + 46. Give o(z(i)).
29*i - 925
Suppose 4*t + 4*t = 2*t. Let s be (-2664)/(-10) + (-9)/(-15) + t. Let z(p) = -p - 267 + s. Let d(v) = -v. Calculate d(z(m)).
m
Let m(j) = 2*j + 20. Let q be m(-9). Let a(h) = 3 - 3 + 249*h**2 - 252*h**q. Let c(w) = -11*w. Give a(c(o)).
-363*o**2
Let p(j) = 2*j**2. Let s(k) = 438*k - 560085. What is s(p(m))?
876*m**2 - 560085
Let u(h) = -14*h**2. Let m(y) = 163460*y**2. What is m(u(x))?
32038160*x**4
Let c(v) = 3295*v. Let g(h) = -19307*h. Calculate c(g(j)).
-63616565*j
Let v(o) = -240*o**2 - 616*o + 88. Let d(n) = -16*n**2 - 42*n + 6. Let j(t) = -88*d(t) + 6*v(t). Let m(r) = 40*r. Give m(j(l)).
-1280*l**2
Let q(r) = 571*r**2 - 5. Let z(p) = -891*p**2. Determine q(z(f)).
453306051*f**4 - 5
Let y(f) = -13*f + 2. Let k(b) = -27*b + 5. Let d(g) = 2*k(g) - 5*y(g). Let c = 177 - 157. Let p(i) = 11*i**2 - c*i**2 + 11*i**2. What is p(d(v))?
242*v**2
Let z(f) = -6*f + 8. Let g(y) = 2*y - 3. Let l be -52*(0 - (1 + (-1)/2)). Let o = l - 29. Let p(a) = o*z(a) - 8*g(a). Let m(j) = 2*j**2. Determine m(p(q)).
8*q**2
Let c(o) be the first derivative of o**2 + 3035. Let u(k) = 18*k + 2*k**2 - k**2 - 5*k. Determine u(c(n)).
4*n**2 + 26*n
Let x(r) = -14*r. Let s(g) = -3*g + 2. Let m(z) = -3 + 64*z + 4 - 65*z. Let k(n) = 2*m(n) - s(n). Let a(q) = 7*q. Let f(u) = a(u) - 6*k(u). Determine x(f(w)).
-14*w
Let v(r) = 3 - 594*r + 1845*r - 3 - 626*r - 620*r. Let m(z) = -2 + z**2 + 2 - 33*z. Determine m(v(f)).
25*f**2 - 165*f
Let h(y) = -15*y. Let f = 58 + -45. Let w(l) = 48*l - f*l**2 - 7*l - 41*l. What is w(h(i))?
-2925*i**2
Let z(j) = -3*j**2. Let l(b) = -9576985*b**2 + b - 1. Calculate l(z(m)).
-86192865*m**4 - 3*m**2 - 1
Let h(k) = -13*k**2. Let b(p) = -57*p**2 + 5*p + 72. Let n(q) = q + 12. Let t(g) = -b(g) + 6*n(g). Determine t(h(o)).
9633*o**4 - 13*o**2
Let b(f) = 2*f**2 - 1149. Let q(y) = 147*y - 8. Let z(c) = 184*c - 10. Let x(l) = 5*q(l) - 4*z(l). Give x(b(h)).
-2*h**2 + 1149
Let f(k) = -19*k**2 + 3. Let n(c) = -495*c**2 + 77. Let h(z) = 77*f(z) - 3*n(z). Let m be ((-8)/(-4))/(4/24). Let b(q) = q**2 + m*q**2 - 11*q**2. Give h(b(d)).
88*d**4
Let w(a) = 4*a**2 + 56*a - 4503. Let b(u) = -3*u. Calculate b(w(o)).
-12*o**2 - 168*o + 13509
Let c(h) = 78*h + 14. Let f(x) = -34*x - 6. Let t(n) = -3*c(n) - 7*f(n). Let i(z) = 4044*z**2. What is t(i(j))?
16176*j**2
Let u = -41 - -64. Suppose 6*k = -11 + u. Let o(s) = -17*s**2 - 10*s**2 + 5*s**k. Let a(n) = -2*n. Give a(o(z)).
44*z**2
Let w(y) = -y**2. Let l = -101 - -129. Let f(d) = -22*d + l*d + 0 + 0. Determine w(f(a)).
-36*a**2
Let c = 120 - 88. Let y(f) = 21*f**2 - 40228 + 40228 + c*f**2. Let n(o) = 3*o**2. Determine n(y(l)).
8427*l**4
Let s(x) = x**2 - 41*x. Let f = -62 - -67. Let d(u) = -f*u + 18*u - 16*u. Calculate d(s(r)).
-3*r**2 + 123*r
Let s(a) = -10*a. Let g(x) be the second derivative of -3 + 2/3*x**4 - 11*x + 0*x**2 + 0*x**3. What is s(g(k))?
-80*k**2
Let l(s) = -s**2 - 31*s - 238. Let k be l(-15). Let o(a) = 143*a**2 + 101*a**k + 93*a**2 + 75*a**2 - 327*a**2. Let b(q) = -2*q. What is o(b(j))?
340*j**2
Let t(b) be the first derivative of 0*b**2 - 27 + 0*b + 1/3*b**3. Let a(s) = 9*s**2. Determine a(t(d)).
9*d**4
Let h(j) = -72369 - 7*j + 72371 + 31*j. Let w(b) = -4*b**2. What is h(w(k))?
-96*k**2 + 2
Let k = -29808 + 58483. Let z(c) = 28675 - k - 4*c**2. Let m(g) = 5*g + 6. Let l(o) = 9*o + 11. Let j(i) = 6*l(i) - 11*m(i). Determine j(z(y)).
4*y**2
Let j(u) = -54*u**2 + 84*u - 12. Let a(s) = 32*s**2 - 49*s + 7. Let x(p) = -12*a(p) - 7*j(p). Let g(h) = 970*h. What is g(x(v))?
-5820*v**2
Let s(f) = -156*f. Let x(h) = 2*h + 12*h + 8*h + 4*h - 14*h. Determine s(x(b)).
-1872*b
Let x(p) = -2*p + 110789. Let u(f) = -16*f**2 - 3*f. What is x(u(a))?
32*a**2 + 6*a + 110789
Let h(y) = 60284*y + 21. Let i(q) = q**2. Determine h(i(t)).
60284*t**2 + 21
Let m(h) = -10*h**2. Suppose -3*n - 75 = -2*a - a, -35 = -a - n. Let z(w) = a*w**2 + 24*w**2 - 50*w**2. Determine z(m(t)).
400*t**4
Let g(v) = -v - v + 0*v - v. Let j(a) be the second derivative of -17*a* | {
"pile_set_name": "DM Mathematics"
} |
16*s**2 + 21*s + 6. What is z*k(p) + 2*b(p)?
p**2 - 2*p + 1
Let n = -460 - -455. Let s(d) = -5*d. Let u(q) = 6*q. What is n*s(a) - 4*u(a)?
a
Let r(q) be the third derivative of 19*q**5/60 - 5*q**4/24 + 3*q**2 - 23*q. Let y(k) = -180*k**2 + 48*k. What is 48*r(l) + 5*y(l)?
12*l**2
Let n(s) = 2*s + 5. Let j(y) = -y + 1. Let c(g) = -4*j(g) - n(g). Let l(d) be the second derivative of 5/2*d**2 + 7*d - 1/6*d**3 + 0. Give -4*c(o) - 7*l(o).
-o + 1
Let n(z) = -7*z**3 - 37*z**2 - 22*z - 11. Let o(m) = -4*m**3 - 19*m**2 - 12*m - 6. Determine -6*n(g) + 11*o(g).
-2*g**3 + 13*g**2
Suppose 5*c - 60 = -0*c. Suppose -15*f - 18 = -c*f. Let h(b) = -4*b - 1. Let l(s) = -4*s - 1. Calculate f*l(w) + 5*h(w).
4*w + 1
Let b(x) = 9*x - 636. Let y(j) = 4*j - 272. Let d(k) = -3*b(k) + 7*y(k). Suppose -t + 5*t - 4 = 0. Let o(a) = 1. What is t*o(l) + d(l)?
l + 5
Let i(t) = 1728*t**2 - 14*t - 3. Let m(n) = 1152*n**2 - 10*n - 2. Give 5*i(j) - 7*m(j).
576*j**2 - 1
Let z(w) = w**3 - w + 1. Let s(q) = 27*q**3 + 40*q**2 - 26*q + 17. Let d(f) = 13*f**3 + 18*f**2 - 12*f + 8. Let m(g) = -9*d(g) + 4*s(g). What is -m(x) - 4*z(x)?
5*x**3 + 2*x**2
Let p(a) = -1. Let f(j) = 42*j + 6. Give f(m) + 8*p(m).
42*m - 2
Let b(t) = 5*t**2 + 856*t. Let u(d) = -2*d**2 - 285*d. What is 3*b(p) + 8*u(p)?
-p**2 + 288*p
Let w(z) = -z**2 - z - 2. Let x(i) = i**2 + 3. Let a(u) = -3*w(u) - 2*x(u). Let q(l) = -3*l**2 + l**2 - 10*l - 2*l**2. What is -10*a(c) - 3*q(c)?
2*c**2
Let t(m) = 7*m**3 - 5*m**2 - 5*m + 5. Let a(p) = 3*p**3 - 3*p**2 - 3*p + 3. Suppose -8*r + 49 - 9 = 0. Determine r*a(i) - 3*t(i).
-6*i**3
Suppose 3*z + 25 = n, 47 = -5*z + n + 2*n. Let t(x) = 3*x**2 - 6*x - 6. Let m = 8 - 1. Let l(b) = b**2 - 2 - 4*b**2 + 9 - b**2 + m*b. Determine z*t(o) - 6*l(o).
3*o**2
Suppose 5*d - 5*w + 24 = 14, -3*d = 4*w - 22. Let l(t) = -8*t**3 - 3*t**2 + 3*t. Let h(x) = -8*x**3 - 2*x**2 + 2*x. What is d*l(y) - 3*h(y)?
8*y**3
Let g(a) = -8*a**2. Let p(y) be the second derivative of -7*y**4/12 - 4*y - 12. Give -2*g(s) + 3*p(s).
-5*s**2
Let t be (-215)/45 - 6/27. Let w = 6 + t. Let q(j) = -j. Let s(f) = 2*f**2 - 2*f + 1. Give w*s(d) - 4*q(d).
2*d**2 + 2*d + 1
Let o(k) = 3*k**3 + 11*k + 11. Let x = -133 - -122. Let a(b) = -b**3 - 4*b - 4. Let u(w) = -w - 4. Let j be u(0). What is j*o(m) + x*a(m)?
-m**3
Let p(w) = -22*w**3 + 5*w. Let b(f) = -20*f**3 + 5*f. Give 5*b(t) - 4*p(t).
-12*t**3 + 5*t
Let s(u) be the third derivative of -u**4/4 - u**2. Let t = 4 - 7. Let m(w) = 5*w. Let x(q) = 65*q - 522. Let b be x(8). Give b*s(i) + t*m(i).
-3*i
Suppose -10 - 14 = -2*t. Let a = 10 - t. Let f(v) = 1. Let m(h) = -9*h - 16. Let q(l) = a*f(l) - m(l). Let u(d) = 3*d + 5. Give 3*q(r) - 8*u(r).
3*r + 2
Let z(s) = -24*s**2 - 14 + 980*s - 988*s + 3*s**2. Let l(d) = 7*d**2 + 3*d + 5. Give 8*l(y) + 3*z(y).
-7*y**2 - 2
Let t(y) = 261. Let k(p) = 209. Let i(a) = -5*k(a) + 4*t(a). Let o = 3 + -8. Let l(z) = z**2 + z - 4. What is o*i(f) + l(f)?
f**2 + f + 1
Let l(v) = -16*v**2 + 9*v + 17. Let f(a) = -7*a**2 + 4*a + 8. What is -5*f(n) + 2*l(n)?
3*n**2 - 2*n - 6
Suppose 31 - 1 = -5*y. Let p(c) = 1. Suppose o - 3*h - 10 = 0, 2*h - 21 = -27. Let n(r) = r + 9. Determine o*n(v) + y*p(v).
v + 3
Let n(h) = -h**3 - h**2. Let j(d) = 7*d**3 - 14*d**2 + d. What is j(k) + 6*n(k)?
k**3 - 20*k**2 + k
Let o(k) = -2*k**3 + k**2 + k. Let m(g) = 4*g**3 - g**2 + 3*g - 5. Calculate m(u) + o(u).
2*u**3 + 4*u - 5
Let r(l) = -2881*l**2 - 201*l + 201. Let w(i) = -72*i**2 - 5*i + 5. What is 5*r(u) - 201*w(u)?
67*u**2
Let i(m) = m - 2. Let d(t) = -2*t + 1. Suppose 3*n + 19 = r, r + n + 0 = -1. Give r*i(w) + 3*d(w).
-2*w - 5
Let c(f) = 10*f - 4. Let m(w) = -11*w + 6. Give 6*c(g) + 5*m(g).
5*g + 6
Let n(h) = 3*h**2 - 4*h + 8. Let g(x) = 2*x**2 - 3*x + 8. Give 6*g(f) - 5*n(f).
-3*f**2 + 2*f + 8
Let z(w) = -11*w**3 - 3. Let i(d) = -54*d**3 - 2*d**2 + 2*d - 14. Let c(o) = -107*o**3 - 5*o**2 + 5*o - 28. Let g(s) = 2*c(s) - 5*i(s). Give -3*g(t) - 14*z(t).
-14*t**3
Let q(k) = -60*k**2 + 6. Let w(v) = -240*v**2 + 25. What is 9*q(z) - 2*w(z)?
-60*z**2 + 4
Let h(d) = 24*d**2 - 5. Let l(r) = -551*r**2 + 114. Let w(t) = -14*t**2 - 161*t - 30. Let p be w(-12). Calculate p*h(n) - 5*l(n).
19*n**2
Let v(q) = -2*q - 4. Let r = -52 - -79. Suppose -4*i = -7*i - r. Let z(t) be the first derivative of 2*t**2 + 9*t - 33. Determine i*v(x) - 4*z(x).
2*x
Let u(c) = 16*c - 5. Let y(o) = 6 - 13*o - 6*o + 2*o. Determine 6*u(w) + 5*y(w).
11*w
Let n(g) = 94*g**3 - 3*g**2 + 3. Let a(k) = -39479*k**3 + 1261*k**2 - 1261. Give 6*a(w) + 2522*n(w).
194*w**3
Let x(z) = -4 + 3 - 21*z - 1 + 26*z - 2. Let g(l) = 4*l - 4. Give 7*g(w) - 6*x(w).
-2*w - 4
Suppose -3 = -c - 2. Suppose 5*t + 111 = 8*t. Let m(j) = t*j - 23*j + 4 - 21*j. Let u(a) = a - 1. Give c*m(d) + 5*u(d).
-2*d - 1
Let o(a) = a + 1. Let z(d) = -9*d**3 + d**2 + 7*d + 7. What is 21*o(b) - 3*z(b)?
27*b**3 - 3*b**2
Let x(p) = -37*p**3 + 8*p**2 - 2*p + 8. Let b(g) = -36*g**3 + 6*g**2 - g + 6. Give -4*b(k) + 3*x(k).
33*k**3 - 2*k
Let x be 4 + 6/(-18)*15. Let r(q) = 7*q. Let j(v) = 1. What is x*r(i) - 2*j(i)?
-7*i - 2
Let c(f) = 9. Let d(v) = -v + 1. Determine -c(w) + 3*d(w).
-3*w - 6
Suppose 2 = -2*b + 2*q, -4*q = 51 - 31. Let l(t) = 5*t**2 + 4. Let a(y) = y**2 + 1. Calculate b*l(g) + 26*a(g).
-4*g**2 + 2
Let o(l) = 3*l**2 - 43281*l + 43281*l - 3. Let d(q) = -q**2 - q + 1. What is -4*d(s) - o(s)?
s**2 + 4*s - 1
Let l(p) = 57*p**3 + 6*p**2 - 5*p + 6. Let z(h) = h**3 - h**2 + h - 1. Give l(q) + 6*z(q).
63*q**3 + q
Let f(z) = 5*z**2 + 173*z. Let m(x) = x**2 + 43*x. What is -2*f(o) + 9*m(o)?
-o**2 + 41*o
Let r(v) = -4*v**3 + 2*v**2 - 13*v - 26. Let s(j) = -j**3 - 2*j - 1. Give r(g) - 6*s(g).
2*g**3 + 2*g**2 - g - 20
Let z(m) = -m + 5 + 10 - 17 - 4. Let j(o) = -o**3 - 8*o**2 + o + 4. Let p be j(-8). Let c(i) = -i - 5. Determine p*c(k) + 3*z(k).
k + 2
Let i(b) = -22*b**2 + 7*b + 3. Let w(c) = -76 - 56*c**2 - 5*c + 71*c**2 + 151 - 77. Calculate 5*i(q) + 7*w(q).
-5*q**2 + 1
Let i(n) = 11*n**3 - 7. Let a = 196 - 191. Let w(r) = -5*r**3 + 3. Let z be (2 - -1) + (-7 - -6). What is a*w(h) + z*i(h)?
-3*h**3 + 1
Let h(g) be the second derivative of 5*g**4/12 - g**3/3 + 3*g**2 - 2*g. Let j(s) = s**2 - s + 1. Let u(r) = -135*r + 266. Let m be u(2). What is m*j(k) + h(k)?
k**2 + 2*k + 2
Let k(m) = 6*m**2 + 2*m - 7. Let j(s) = -29*s**2 - s + 24. Let c(f) = -19*f**2 - f + 16. Let a(o) = -8*c(o) + 5*j(o). Determine 5*a(q) - 6*k(q).
-q**2 + 3*q + 2
Let m(p) = p - 5. Suppose 0 = -37*c + 256 + 77. Let u(l) = -l + 2. What is c*u(w) + 4*m(w)?
-5*w - 2
Let n(g) = 4*g. Let j(k) = -k - 11. Let s(d) = -6*d - 31. Let h(b) = 17*j(b) - 6*s(b). Calculate 2*h(o) - 11*n(o).
-6*o - 2
Let f(t) = -25 - 24 - 19 + 72. Let p(r) = r - 1. What is -f(l) - 4*p(l)?
-4*l
Let k(r) = -66*r**3 - 55*r + 55. Let c(d) = d**3 + d - 1. What is -55*c(v) - k(v)?
11*v**3
Let v(o) = -13. Let x(i) = -11. Let u(f) = -6*v(f) + 7*x(f). Let l(m) = 2*m - 15. Calculate -l(h) - 6*u(h).
-2*h + 9
Let d(y) = -4*y**3 - 6*y**2 - 6*y. Let l(t) = -13*t**3 - 17*t**2 - 16*t. Give 17*d(u) - 6*l(u).
10*u**3 - 6*u
Let d(f) = -3*f**2 + 1. Let b(v) = 13*v**2 - 4. Suppose 0 = 2*y + y + 6, 4*y = -4*a - 44. Let g be -6 - -8 - 4 - (-1 - -1). Calculate a*d(z) + g*b(z).
z**2 - 1
Let y(b) = 4 - b - 6 + 1 + b**2. Let s(j) = -j**2 + j + 5. Let n(r) = 4*r**2 - 3*r - 35. Let h(c) = -n(c) - 8*s(c). What is -3*h(f) + 15*y(f)?
3*f**2
Let u(v) = 8*v**2 + 19*v - 57. Let d(f) = 3*f**2 + 7*f - 19. What is 11*d(n) - 4*u(n)?
n**2 + n + 19
Let w(z) = 14*z**3 + z**2 + z - 30. Let q(m) = -16*m**3 - m**2 - m + 31. Give -6*q(s) - 7*w(s).
-2*s**3 - s**2 - s + 24
Let d(c) = -3*c**2 - 48*c + 5. Let x(h) = -h**2 + h - 1. Give -d(q) - 5*x(q).
8*q**2 + 43*q
Let t(u) = -u + 1. Let p(k) = 12*k + 12. Give p(c) + 2*t(c).
10*c + 14
Let b be 6/4*(-8)/6. Let w(c) = -4*c**3 - 1. Let o(h) = h - 6. Let z be o(9). Let v(i) = 7 - 4*i**3 + 33*i**z - 12*i**3 + i - 3. What is b*v(n) - 9*w(n)?
2*n**3 - 2*n + 1
Let i(p) = -6*p + 6 - 2 - 5 - 4 + p. Let n(c) = 0 - 2 + 3*c + 4. Calculate -2*i(q) - 5*n(q).
-5*q
Let f(w) = 15*w**3 + 13*w**2 + 9*w - 15. Let m(q) = -7*q**3 - 6*q**2 - 4*q + 7. Calculate -6*f(z) - 13*m(z).
z**3 - 2*z - 1
Let q(z) = -z**3 - 3*z**2 + 4*z - 2. Let b(k) be the second derivative of -k**4/12 + k**3/6 - k**2/2 + 1703*k. Let c = -1 + -1. Determine c*q(d) | {
"pile_set_name": "DM Mathematics"
} |
11988 and 4844.
4829.9488012
Subtract -3913 from -14419539.
-14415626
What is 47547458610823 minus 8?
47547458610815
What is -1770.68959 take away -28?
-1742.68959
Work out -47640870281 - 0.24.
-47640870281.24
What is -6.94 minus -263.64073?
256.70073
Work out -0.11631909244 + 14.
13.88368090756
Work out -4286.5 + -87.71689.
-4374.21689
-16.83618672+5.139
-11.69718672
Work out -23703 + 456525835.
456502132
Work out -1019076698529 - -104.
-1019076698425
1.05 + -328051.4426084
-328050.3926084
Add together 2253642198648 and 0.14.
2253642198648.14
Calculate -1238356155127 + 0.054.
-1238356155126.946
Work out -0.66856 - -2.3758.
1.70724
Add 2949944 and -7495258.
-4545314
What is the distance between 309.449 and -1231150.85?
1231460.299
Calculate 0.5 - -8704905540871.
8704905540871.5
Calculate -133794688751 - 0.5.
-133794688751.5
Work out 736 + -164.816874.
571.183126
Sum -113.64 and 163460424.9.
163460311.26
Subtract 95777580 from -282139.
-96059719
What is the distance between 196.66149009548 and -0.2?
196.86149009548
Add -8558528.8 and 3402.
-8555126.8
Add -0.03 and 34516383360726.
34516383360725.97
Calculate 3009818209 - -6.301.
3009818215.301
Calculate -4 - 8940462.0378.
-8940466.0378
Calculate -6807477057312 - -2.
-6807477057310
What is 0.58 less than 9488326018.6?
9488326018.02
Add together -0.09 and -21228723516.
-21228723516.09
51863+-0.883347
51862.116653
Put together -71806 and 3438.526.
-68367.474
Total of -0.043 and -957381717.5.
-957381717.543
What is -0.0116810764 minus 0.196534?
-0.2082150764
Add together -1268.8 and 15272730142.
15272728873.2
What is 73 plus 151.03805475?
224.03805475
Calculate 24 + 65788754455.
65788754479
Calculate -27.592429278 + -2545.
-2572.592429278
Add together -55170453873833 and 4.
-55170453873829
What is -87102115 - -5676164?
-81425951
Work out 0.061 + 794079108.
794079108.061
-27057648501.34+0
-27057648501.34
Add -2 and -4214451324938.
-4214451324940
Work out 3 + -123066.89876.
-123063.89876
What is the difference between -16320001483 and -252?
16320001231
Add together -2 and 8597476409821.
8597476409819
What is the distance between 386.6 and 105422355?
105421968.4
Calculate 16.7290240671615 + -0.3.
16.4290240671615
Subtract 14.73054 from 0.213695031.
-14.516844969
-5636372+910.7773
-5635461.2227
What is the difference between 11 and 182.5106605?
171.5106605
Calculate 11995375.1 - -5252682.
17248057.1
What is 7207700488 plus 375?
7207700863
Add together -1000720 and 11397.
-989323
What is the difference between -34 and -6074.856827?
6040.856827
What is -9920862 take away 0.0131402?
-9920862.0131402
Work out -269 + 35763033540.
35763033271
Add together 0.1014007818 and 1769.
1769.1014007818
Sum 904.2123 and 0.08983897.
904.30213897
1333 - -18567.0608
19900.0608
Calculate 1.9 + -409.1729348.
-407.2729348
Total of 0.020362 and -260891513.
-260891512.979638
What is the distance between 745710182 and -440?
745710622
What is the distance between 0.069724 and -7585245069?
7585245069.069724
Calculate -2436.7 - 348816783.
-348819219.7
1244488705 + 10257
1244498962
1997383 + -944773
1052610
Add together -5077.141 and -626.5317.
-5703.6727
What is -4.01 plus 343643944?
343643939.99
Work out -104119.3543378 + 86.
-104033.3543378
What is 489.92 - -73246.81?
73736.73
-19030832.3 - 2013
-19032845.3
Calculate -40.17 - -566.83695.
526.66695
Work out -0.5 + -26359373393.
-26359373393.5
What is -1664593 minus 1392188?
-3056781
Sum 0.1745275 and 121500.82.
121500.9945275
Work out 8125612726543 - 0.
8125612726543
10+4144417789
4144417799
Total of 15927065.44671 and -0.5.
15927064.94671
Total of 34.5742657 and 1.6.
36.1742657
Total of 0.0159436679 and -1.48.
-1.4640563321
Work out 5 - -39396443064.
39396443069
What is the difference between 177 and -63481275397?
63481275574
What is -253 - 0.05709525212?
-253.05709525212
What is -20.4 - 87419126548?
-87419126568.4
Calculate 130.658553 + 40.
170.658553
What is -48568365785322 - 5?
-48568365785327
Work out -37410.55291 - -50887.
13476.44709
What is 158251 less than -229252.741?
-387503.741
Put together 920488863 and 2381.
920491244
Calculate 8585392039 + 0.0083.
8585392039.0083
Subtract -4.62787629 from 0.2079.
4.83577629
What is 4102840045 minus 29145?
4102810900
Work out 0.5 - -143.23937748171.
143.73937748171
What is -11539269980 - 0.088?
-11539269980.088
Work out -24180143901 - -10.
-24180143891
What is the distance between 36125186 and -0.0823?
36125186.0823
Add 91899358.248 and 0.1.
91899358.348
Work out -0.02554420139853 + 0.4.
0.37445579860147
What is 0.01 plus -1607836838?
-1607836837.99
4155 + 1014918927
1014923082
Add together 29432490 and -7738333.
21694157
Add 731.756 and -579752933.
-579752201.244
What is -1190732.2785554 + 4?
-1190728.2785554
Work out -0.1654 - 10146290808.
-10146290808.1654
What is 12.176493 + -2834?
-2821.823507
Add together 221532573 and 1279.33.
221533852.33
What is 254015.32 - -3.878165?
254019.198165
What is the distance between -163436273.65 and 0.26?
163436273.91
What is -65 + -268200394371?
-268200394436
Subtract 5412534778 from -0.09684.
-5412534778.09684
Add together 10.934223 and -124199.
-124188.065777
What is -0.2 take away 51978.316612?
-51978.516612
Sum -47123349867 and 5.
-47123349862
Sum -4 and -862.556906809.
-866.556906809
Work out -30275377992 - 133.
-30275378125
What is -55347628326 take away 75?
-55347628401
Work out -0.15 + -919179807510.
-919179807510.15
What is -0.68 take away 1009626816?
-1009626816.68
What is the difference between 5.83 and 710110.48515?
710104.65515
Add together 5715730057 and 0.089.
5715730057.089
Calculate -1 - 52178961348.
-52178961349
What is -260.8 minus 4064.00499?
-4324.80499
35.3423283 - -3715618
3715653.3423283
Calculate -46.6 - 25263515752.
-25263515798.6
Total of -4.137270599 and 0.5732.
-3.564070599
-101515 - -9718791242
9718689727
3391876 - 287.02434
3391588.97566
What is 66625335.9242 minus 0.07?
66625335.8542
What is 36.6317528 less than -45088?
-45124.6317528
What is the distance between -11035468957.8 and 8?
11035468965.8
132.470115097+-0.04
132.430115097
What is 1 less than -130862792867.07?
-130862792868.07
Work out -66159571 + 315472.
-65844099
Calculate 2676431828493 + 0.04.
2676431828493.04
Work out 30.73 - 164.5975576.
-133.8675576
What is the distance between -4.834282261 and -0.5?
4.334282261
What is -1167 plus -120144694?
-120145861
What is -15 plus -246.36735766?
-261.36735766
What is the difference between 6 and 12.8970524073?
6.8970524073
What is -1307533919.6 - -170.4?
-1307533749.2
What is -20306930680.7 less than 1354?
20306932034.7
Put together 0.5 and -162313141661.
-162313141660.5
0.286173427 + -26.492
-26.205826573
Total of 181415 and -22843114.
-22661699
What is 19.5 less than 158360154443?
158360154423.5
Calculate -4.61797210092 - -0.3.
-4.31797210092
Add together 1153368.44 and -2.121.
1153366.319
Work out 2227111 + 436521.
2663632
88.51 - -0.007785061356
88.517785061356
Subtract 0.0235247435779 from 0.1.
0.0764752564221
Subtract -152.2 from 688350713.
688350865.2
What is -4 take away 796.986734979?
-800.986734979
What is -227657580135 plus 0.17?
-227657580134.83
Calculate -0.83 + 5459532250.
5459532249.17
Put together 0.092 and -0.0352390172.
0.0567609828
What is -752073 + -25.773755?
-752098.773755
Work out 0.300068 + 15.304096.
15.604164
Sum 9.3 and 46514413.32.
46514422.62
Subtract 1272.446 from 171.297.
-1101.149
Subtract -6835332324030 from -2.
6835332324028
Put together 3430146 and -1148158.
2281988
Work out -0.066408 + -2912.3367.
-2912.403108
Work out -5654.83 - -1340084184.
1340078529.17
Put together 45926602.25 and -106.
45926496.25
Sum 0.3 and -15827.37455.
-15827.07455
Subtract 7.71 from 2678589863.
2678589855.29
Work out -0.018957991728 + 2.
1.981042008272
Calculate 0.3445599 - 0.0995.
0.2450599
Subtract 3192173599 from 475.9.
-3192173123.1
Work out -3469 + 176006986.
176003517
Calculate 14960 - -2048631.765.
2063591.765
2 - -86.355955351
88.355955351
Total of 3 and 17699.663360831.
17702.663360831
0.08550082 + 356772
356772.08550082
What is -0.19 take away 0.02424547627?
-0.21424547627
What is 3 take away 120951831931?
-120951831928
Add together 3239994532 and 0.1682.
3239994532.1682
Calculate 608021325 - -65.7083.
608021390.7083
What is the dis | {
"pile_set_name": "DM Mathematics"
} |
3 - 7*q.
-(q - 3)*(q - 1)**2
Let s(m) = -5*m**3 - 12*m**2 - 11*m. Let d(x) = x**3. Let i(c) = -4*d(c) - s(c). Suppose i(q) = 0. Calculate q.
-11, -1, 0
Let d(l) be the second derivative of 21 - 139*l**3 - 25*l**5 - 21 - 21*l**3 + 100*l**4 - 25*l + 128*l**2. Suppose d(h) = 0. Calculate h.
4/5
Let w(n) be the first derivative of -n**5/5 - 3*n**4/4 + 20. Factor w(j).
-j**3*(j + 3)
Let r(t) be the second derivative of -3*t**5/50 - 2*t**4/5 - t**3/5 + 18*t**2/5 + 85*t. Determine w so that r(w) = 0.
-3, -2, 1
Factor -19*x**2 + 6*x**4 - 23/2*x**3 + 0 - 3/2*x.
x*(x - 3)*(x + 1)*(12*x + 1)/2
Let q(r) be the third derivative of r**5/30 - r**4/12 + 5*r**3/6 - 2*r**2. Let m be q(-3). Find n such that -m*n - 38*n**2 + 33*n + 16*n**2 = 0.
0, 2/11
Suppose -d + s = 4, 0 = 2*d + 4*s + 1 - 5. Let h be d/(-12)*(21 - 19). Suppose 2/3*f + h*f**2 + 0 = 0. Calculate f.
-2, 0
Let t(y) be the first derivative of 1/12*y**3 + 1/20*y**5 - 1/8*y**2 - 9 + 7/48*y**4 - 1/6*y. Find u such that t(u) = 0.
-1, 2/3
Let b(i) be the second derivative of i**5/80 - 3*i**4/16 + 5*i**3/6 + 2*i + 148. Find n, given that b(n) = 0.
0, 4, 5
Let m(y) be the second derivative of y**6/50 - 9*y**5/100 + y**4/10 + 404*y. Factor m(r).
3*r**2*(r - 2)*(r - 1)/5
Let z(d) be the second derivative of 3*d**5/140 + 2*d**4 + 56*d**3 - 765*d. Determine x, given that z(x) = 0.
-28, 0
Let w(a) be the second derivative of -1/3*a**2 - 4/9*a**4 - 11/18*a**3 - 16*a - 7/60*a**5 + 0. Factor w(h).
-(h + 1)**2*(7*h + 2)/3
Let x(c) = 18*c**2 - 4886*c - 600222. Let i(f) = -4*f**2 + 977*f + 120044. Let j(p) = -28*i(p) - 6*x(p). Factor j(l).
4*(l + 245)**2
Let l(n) = -3*n**4 + 7*n**3 + 3*n**2 - 7*n - 5. Let c(i) = -3*i**3 + 2 - 6*i - 3*i**2 + 9*i + 2*i**2 + 2*i**4. Let o(q) = 5*c(q) + 3*l(q). Solve o(y) = 0 for y.
-5, -1, 1
Suppose i - 15 = -a - 4*i, -5*i = -5*a + 105. Suppose -15*m = -a*m + 10. Find d such that 1/3*d**3 + 0*d + 0*d**4 + 0 + 0*d**m - 16/3*d**5 = 0.
-1/4, 0, 1/4
Let a(w) be the second derivative of 1/30*w**5 + 1/6*w**4 - 1/45*w**6 - 10*w + 0 + 0*w**2 + 1/6*w**3. Let s(t) be the second derivative of a(t). Factor s(r).
-4*(r - 1)*(2*r + 1)
Let x(f) = -2*f - 2. Let j be (-42)/3*(-6)/(-12). Let z be x(j). Let -2*w**4 - 63*w**3 - 8*w**2 + 60*w**2 - 4*w**2 - z*w + 29*w**4 = 0. Calculate w.
0, 2/3, 1
Let l(c) be the second derivative of c**6/15 + c**5/4 - c**4/4 - 37*c - 3. Factor l(x).
x**2*(x + 3)*(2*x - 1)
Let f(w) be the third derivative of -w**6/8 + 5*w**5/3 + 155*w**4/24 + 20*w**3/3 + 14*w**2 - 3*w. Determine z, given that f(z) = 0.
-1, -1/3, 8
Determine g, given that 783/4*g - 391/2*g**3 - 337/2*g**2 + 729/4 - 55/4*g**4 - 1/4*g**5 = 0.
-27, -1, 1
Determine z, given that -2/5*z**4 + 2/5*z**5 - 8/5 + 2*z**2 - 2*z**3 + 8/5*z = 0.
-2, -1, 1, 2
Let -16/7*g + 16/7 - 12/7*g**5 - 36/7*g**2 + 4/7*g**4 + 44/7*g**3 = 0. What is g?
-2, -2/3, 1
Suppose 3*o + 25 + 29 = 0. Let d be 2 - (3 + -2*(-15)/o). Factor 1/3*r + 0*r**2 + 0*r**4 + 0 + 1/3*r**5 - d*r**3.
r*(r - 1)**2*(r + 1)**2/3
Let w = 705121/1594065 + 4/48305. Let y = w - 8/33. Factor 0*j - y*j**4 + 0 - 2/5*j**3 - 1/5*j**2.
-j**2*(j + 1)**2/5
Let 0 - 68/7*p**4 - 52/7*p**2 + 8/7*p + 96/7*p**3 + 16/7*p**5 = 0. What is p?
0, 1/4, 1, 2
Let x(u) be the third derivative of 0*u**3 + 0*u + 0*u**5 + 0*u**4 - 1/720*u**6 + 1/1260*u**7 + 0 + 6*u**2. Find h such that x(h) = 0.
0, 1
Let s(b) = 15*b**2 - 55*b + 50. Let j(a) be the first derivative of 2*a**3/3 - 7*a**2/2 + 6*a + 34. Let p(l) = 25*j(l) - 3*s(l). Let p(d) = 0. What is d?
0, 2
Let l(b) = -7*b**3 - 260*b**2 + 5564*b - 5297. Let r(k) = -2*k**3 - k**2 + 4*k - 1. Let g(c) = -l(c) + 5*r(c). Factor g(t).
-3*(t - 42)**2*(t - 1)
Suppose 0 = -f + 10 - 4. Suppose f - 6 = 8*d. Suppose -1/2*t**4 - 3/2*t**3 - t**2 + 0 + d*t = 0. Calculate t.
-2, -1, 0
Suppose -21*r = 12*r + 4*r. Factor -8/5*m - 4/5*m**2 + r.
-4*m*(m + 2)/5
Suppose -2*x - q + 7 = 0, 5*q - 3 = -2*x - 0. Suppose 4/3 + 2/3*p**3 - 4/3*p + 1/3*p**x - p**2 = 0. Calculate p.
-2, 1
Let g(x) be the third derivative of -x**8/336 - x**7/105 + x**6/40 + x**5/15 - x**4/6 - x**2 + 33. Factor g(a).
-a*(a - 1)**2*(a + 2)**2
Determine i, given that 7993 + 3*i**3 + 15*i**4 + 6*i**2 + 30*i**3 - 7993 = 0.
-2, -1/5, 0
Let g(r) be the first derivative of -r**5/15 + 5*r**4/6 + 4*r**3/3 - 5*r**2/3 - 11*r/3 - 16. Factor g(q).
-(q - 11)*(q - 1)*(q + 1)**2/3
Let m(z) be the third derivative of 0*z - 1/21*z**7 - 11*z**2 + 2/3*z**4 + 2/15*z**5 - 1/168*z**8 + 0*z**3 - 1/10*z**6 + 0. Factor m(b).
-2*b*(b - 1)*(b + 2)**3
Suppose -2*b + 7 = 3. Let g = 2/1535 - -3044/19955. Factor 2/13*a**3 + g*a**b + 0 - 4/13*a.
2*a*(a - 1)*(a + 2)/13
Let g(x) be the third derivative of x**5/100 - 7*x**4/20 - 3*x**3/2 + 2*x**2 - 58. What is q in g(q) = 0?
-1, 15
Let c = -38 - -27. Let p = c + 15. Find y such that 11*y**2 - p*y + 0*y - 4*y**3 - 3*y**2 = 0.
0, 1
Let q = -944 - -947. Let -2/5*t - 2/5*t**q + 0 + 4/5*t**2 = 0. What is t?
0, 1
Let s(i) be the third derivative of -i**7/42 + i**5/12 + 43*i**2. Factor s(n).
-5*n**2*(n - 1)*(n + 1)
Let g(m) be the second derivative of -m**7/84 - 7*m**6/80 - 33*m**5/160 - 19*m**4/96 - m**3/16 + 72*m. Find c such that g(c) = 0.
-3, -1, -1/4, 0
Let h(a) be the third derivative of 1/48*a**4 + 0*a - 1/840*a**7 + 1/240*a**5 - 1/240*a**6 + 0*a**3 + 7*a**2 + 0. Suppose h(s) = 0. What is s?
-2, -1, 0, 1
Let j be (-8)/28 - 264/(-770). Let p(s) be the first derivative of -2/21*s**3 + 0*s**4 + j*s**5 + 0*s**2 - 8 + 0*s. Factor p(q).
2*q**2*(q - 1)*(q + 1)/7
Let m(d) be the second derivative of 0 + 0*d**3 + 19*d + 0*d**4 + 1/30*d**6 + 3/20*d**5 + 0*d**2. What is k in m(k) = 0?
-3, 0
Let x(m) be the second derivative of m**6/120 - 3*m**5/80 - m**4/12 - 2*m - 80. Factor x(u).
u**2*(u - 4)*(u + 1)/4
Let y(w) be the third derivative of w**8/4032 + w**7/504 + 11*w**5/60 + 42*w**2. Let f(v) be the third derivative of y(v). Find n such that f(n) = 0.
-2, 0
Let n(u) = 40*u + 440. Let x be n(-11). Factor 3/2*f**4 + 0*f**2 + x*f - 3/2*f**3 + 0.
3*f**3*(f - 1)/2
Factor -2/7*g**2 + 0 - 106/7*g + 106/7*g**3 + 2/7*g**4.
2*g*(g - 1)*(g + 1)*(g + 53)/7
Let a(o) be the first derivative of 2/13*o - 1/13*o**4 + 2/13*o**2 + 0*o**3 - 2 - 2/65*o**5. Factor a(x).
-2*(x - 1)*(x + 1)**3/13
Factor 16/7 - 12/7*l - 54/7*l**2.
-2*(3*l + 2)*(9*l - 4)/7
Find u such that -1/5*u**3 + 2/5*u**2 + 0*u + 0 = 0.
0, 2
Let o(c) = c + 1. Let v be o(1). Factor 12 + 2*d**3 - 17*d**2 - 8*d + 21*d**v - 28.
2*(d - 2)*(d + 2)**2
Let y(s) be the first derivative of -s**7/560 + s**5/80 - s**3/16 + 6*s**2 - 3. Let m(n) be the second derivative of y(n). Factor m(z).
-3*(z - 1)**2*(z + 1)**2/8
Let w(z) be the first derivative of -1/6*z**3 - 1/6*z**4 + z**2 + 1/20*z**5 - 4 + z. Let m(d) be the first derivative of w(d). Factor m(y).
(y - 2)*(y - 1)*(y + 1)
Suppose 5 = -4*g + 17. Let z(u) = 4*u - 33. Let p be z(14). Determine t so that 0*t**4 + 0*t**4 + 18*t**g + 59*t**2 + 24*t + 3*t**4 - p*t**2 = 0.
-2, 0
Let x(a) be the first derivative of 16/5*a + 11 + 4/3*a**3 - 1/10*a**4 - 17/5*a**2. Factor x(h).
-2*(h - 8)*(h - 1)**2/5
Let h = -43723 - -43728. Let -20/7*q**3 - 2/7*q**h + 10/7 - 2*q**4 + 4/7*q**2 + 22/7*q = 0. What is q?
-5, -1, 1
Let -408/7*s**2 - 15/7*s**4 - 699/7*s**3 + 276/7*s + 0 = 0. Calculate s.
-46, -1, 0, 2/5
Let j(c) be the second derivative of -1/8*c**4 + 0 - 8*c + 1/2*c**3 + 9/4*c**2. Factor j(z).
-3*(z - 3)*(z + 1)/2
Factor -130150*c + c**3 + 7*c**4 + 130150*c.
c**3*(7*c + 1)
Let i(c) be the second derivative of 5/6*c**4 + 0*c**2 - 5/42*c**7 + 7*c + 5/6*c**3 + 0*c**5 - 1/3*c**6 + 0. Factor i(y).
-5*y*(y - 1)*(y + 1)**3
Let k be (-8 + 147/35)/(-1) - 3. Let 2/5*v**2 + k*v - 2/5*v**3 + 0 = 0. Calculate v.
-1, 0, 2
Let b(o) = -o**3 + 3*o**2 + 5*o - 2. Let i be b(4). Factor -4*r**i - 4*r**3 + 10*r**3 - 4*r**3.
2*r**2*(r - 2)
Let a(g) be the second derivative of 1/90*g**6 + 0 - 3*g - 2/15*g**5 + 11/18*g**4 + 3/2*g**2 - 4/3*g**3. Solve a(t) = 0.
1, 3
Let v = 292 - 288. Factor 0 - 5/2*j**2 + 5*j + 15/2*j**v - 10*j**3.
5*j*(j - 1)**2*(3*j + 2)/2
Suppose -3*p**2 + 96*p**5 - 99*p**5 + 9*p**4 + 3*p**2 = 0. Calculate p.
0, 3
Let y(p) = 18*p**4 - 27*p**3 + 12*p**2 + 27*p - 15. Let u(f) = f**4 - 2*f**3 + f**2 + 2*f - 1. Let k(d) = 15*u(d) - y(d). Factor k(r).
-3*r*(r - 1)*(r + 1)**2
Let w be (-6)/(-27) - 10/(-6)*(-36)/270. Fa | {
"pile_set_name": "DM Mathematics"
} |
rounded to the nearest 10?
708890
What is 0.0459602937 rounded to 6 decimal places?
0.04596
What is -1460924.174 rounded to the nearest 10000?
-1460000
What is -0.0569806776 rounded to six dps?
-0.056981
What is -3.601746555 rounded to the nearest integer?
-4
What is -153.8434499 rounded to 2 dps?
-153.84
What is 1936.0254 rounded to the nearest 10?
1940
Round 0.002574587377 to four dps.
0.0026
Round -1004578103 to the nearest 100000.
-1004600000
Round 10.7657278 to 1 dp.
10.8
What is -9589.1246 rounded to the nearest 10?
-9590
What is 0.0291984808 rounded to three decimal places?
0.029
What is 2035800.54 rounded to the nearest one hundred?
2035800
Round 1.147244506 to 1 decimal place.
1.1
Round -222649.514 to the nearest 1000.
-223000
Round 0.542310139 to 4 decimal places.
0.5423
Round 0.076362848 to six dps.
0.076363
Round -330203.715 to the nearest one thousand.
-330000
What is -104468706.4 rounded to the nearest one hundred thousand?
-104500000
Round -50851.491 to the nearest 10000.
-50000
What is 48598.6807 rounded to the nearest integer?
48599
What is 0.00001879883987 rounded to 6 dps?
0.000019
What is 0.0000925095092 rounded to seven decimal places?
0.0000925
What is 1.27137916 rounded to two dps?
1.27
What is 39.445762 rounded to one dp?
39.4
What is -0.00059148828 rounded to 6 dps?
-0.000591
What is -41355114.56 rounded to the nearest one hundred thousand?
-41400000
Round -1.2072160729 to one dp.
-1.2
What is -617.52933 rounded to the nearest one hundred?
-600
Round -0.0203204587 to 3 decimal places.
-0.02
What is 0.00000258242268 rounded to 7 dps?
0.0000026
What is -529.915198 rounded to the nearest one hundred?
-500
What is -130311.857 rounded to the nearest ten thousand?
-130000
Round 1396929.4244 to the nearest ten.
1396930
What is -0.00004238029196 rounded to 7 decimal places?
-0.0000424
What is -4022388.9 rounded to the nearest 1000000?
-4000000
What is -665.332743 rounded to the nearest integer?
-665
Round -67.085826 to 2 decimal places.
-67.09
What is -240799.485 rounded to the nearest 10000?
-240000
What is -4897845.703 rounded to the nearest one hundred thousand?
-4900000
Round -53921.1237 to zero decimal places.
-53921
What is -845238.2 rounded to the nearest one hundred thousand?
-800000
What is 0.3096828111 rounded to one decimal place?
0.3
Round -0.00057553992 to 5 decimal places.
-0.00058
What is 7223.17027 rounded to one dp?
7223.2
Round 0.2045744528 to 4 decimal places.
0.2046
Round 225018.939 to the nearest 100.
225000
What is -0.00421777635 rounded to seven dps?
-0.0042178
Round -0.002546784852 to four dps.
-0.0025
Round -3831.482728 to the nearest 10.
-3830
Round 3.1688724 to four decimal places.
3.1689
What is 114108.8485 rounded to the nearest ten thousand?
110000
Round 394.940136 to the nearest integer.
395
Round 0.00079806283 to four decimal places.
0.0008
What is -1329194140 rounded to the nearest one million?
-1329000000
Round 888.356627 to two decimal places.
888.36
Round 0.000000357887638 to seven decimal places.
0.0000004
Round -2080581.037 to the nearest 100000.
-2100000
Round -10.8711259 to two dps.
-10.87
Round 0.1974726213 to 3 dps.
0.197
What is -7620576 rounded to the nearest 1000000?
-8000000
Round 351.35842 to 1 dp.
351.4
Round -28.84890221 to 4 dps.
-28.8489
What is 77194662 rounded to the nearest one million?
77000000
What is 0.00000406646225 rounded to 7 dps?
0.0000041
What is 0.0000398229781 rounded to six dps?
0.00004
What is -0.00690056351 rounded to 3 dps?
-0.007
Round -2082617.48 to the nearest one hundred thousand.
-2100000
Round -3766.447956 to the nearest ten.
-3770
What is 24669588.471 rounded to the nearest 1000?
24670000
Round 0.001094782163 to six dps.
0.001095
Round -1449.096277 to 1 decimal place.
-1449.1
Round 10628.41242 to one dp.
10628.4
Round 0.086139391 to four decimal places.
0.0861
What is -40863.769 rounded to the nearest ten thousand?
-40000
What is -3724.10729 rounded to the nearest ten?
-3720
What is 148.40824453 rounded to the nearest integer?
148
What is 379903790 rounded to the nearest one hundred thousand?
379900000
What is -1734555979.5 rounded to the nearest 1000000?
-1735000000
Round 6771235.59 to the nearest 1000000.
7000000
Round 97.25718905 to the nearest 10.
100
Round -0.33491633107 to 5 decimal places.
-0.33492
What is -0.000437197953 rounded to 5 dps?
-0.00044
What is 12655605500 rounded to the nearest 1000000?
12656000000
What is 0.0003069552083 rounded to 6 decimal places?
0.000307
Round 60979671.6 to the nearest one million.
61000000
What is -70.916286 rounded to zero decimal places?
-71
What is 38.5081706 rounded to the nearest integer?
39
Round -75.010309 to three dps.
-75.01
What is 132.505473 rounded to 1 decimal place?
132.5
Round 38752396.4 to the nearest one hundred thousand.
38800000
Round -13.26221412 to 2 dps.
-13.26
What is -3.45002382 rounded to three decimal places?
-3.45
Round 1.925979594 to four dps.
1.926
Round -0.03766343511 to five decimal places.
-0.03766
Round 0.01541701195 to three dps.
0.015
What is 1.26449821 rounded to 1 dp?
1.3
What is 5786.882 rounded to the nearest 10?
5790
Round -633.85682 to 1 dp.
-633.9
Round 222561.699 to the nearest one hundred.
222600
What is 2.678494521 rounded to 3 dps?
2.678
What is 665724140 rounded to the nearest one million?
666000000
What is -179137564.1 rounded to the nearest 1000000?
-179000000
Round -102613.811 to the nearest ten thousand.
-100000
Round 1080.9909939 to one dp.
1081
What is 2338.36985 rounded to the nearest ten?
2340
Round 0.00000303786123 to 7 dps.
0.000003
What is 0.1741477008 rounded to 5 dps?
0.17415
What is -8606119.5 rounded to the nearest 10000?
-8610000
Round -0.00000933281178 to 7 decimal places.
-0.0000093
What is 35.2956935 rounded to zero decimal places?
35
What is 104067.0811 rounded to the nearest ten?
104070
What is 258.09587 rounded to 0 decimal places?
258
Round 96918.673 to the nearest 10000.
100000
What is -0.00003200107 rounded to seven decimal places?
-0.000032
Round 0.62619513 to three dps.
0.626
Round -5446.023 to the nearest ten thousand.
-10000
Round -1473728.7 to the nearest 10000.
-1470000
What is 508.45623 rounded to the nearest integer?
508
What is -194.9531026 rounded to the nearest integer?
-195
What is -201237.263 rounded to the nearest 10000?
-200000
Round -18407571.3 to the nearest 10000.
-18410000
Round 0.00747688796 to six dps.
0.007477
What is -6.0738371 rounded to one dp?
-6.1
Round -907.361849 to two decimal places.
-907.36
Round -1379665.086 to the nearest one hundred thousand.
-1400000
Round -0.0004929061 to six dps.
-0.000493
Round -1644704.299 to the nearest ten thousand.
-1640000
Round -51.0385265 to two dps.
-51.04
What is 0.000353262773 rounded to 6 dps?
0.000353
Round 87986341 to the nearest 1000000.
88000000
Round -1.11854632 to 2 decimal places.
-1.12
Round -78.5210408 to two decimal places.
-78.52
Round 244.2279365 to 2 decimal places.
244.23
Round 3373963.48 to the nearest 10000.
3370000
Round 0.000003169686548 to 7 decimal places.
0.0000032
Round -1722.98743 to the nearest one thousand.
-2000
What is 0.0234947966 rounded to four decimal places?
0.0235
What is 1043.931602 rounded to one decimal place?
1043.9
Round -14915274.6 to the nearest 100000.
-14900000
Round 0.050323975 to three dps.
0.05
What is -285.14015 rounded to two decimal places?
-285.14
Round 173.215587 to one decimal place.
173.2
What is -2515.7827 rounded to one decimal place?
-2515.8
What is -76.9215892 rounded to the nearest integer?
-77
Round -25.2517134 to the nearest 10.
-30
What is 0.000091029514 rounded to five dps?
0.00009
Round 472.654036 to the nearest 100.
500
What is -0.00009732952 rounded to seven decimal places?
-0.0000973
Round 380.75589 to the nearest 100.
400
What is 3628225194 rounded to the nearest 1000000?
3628000000
Round -1831086.1974 to the nearest ten thousand.
-1830000
Round -0.32510691 to 2 decimal places.
-0.33
Round -0.000011422085 to 5 dps.
-0.00001
Round 114507.137 to the nearest one thousand.
115000
Round -4154946.98 to the nearest ten thousand.
-4150000
What is -1218412.954 rounded to the nearest 1000000?
-1000000
Round -1939031.6 to the nearest ten thousand.
-1940000
Round 129875.29413 to the nearest 10000.
130000
Round -1.0 | {
"pile_set_name": "DM Mathematics"
} |
-1/3
Let d = -2 - 1. Are -18/7 and d equal?
False
Let m(j) = j**3 + 5*j**2 - j + 5. Let v be m(-5). Let g be 3/(3*6/60). Is v at most as big as g?
True
Suppose i + 1 - 4 = 0. Suppose -i*x - 8 = -2*k, -3*k - 5*x - 8 = 18. Let m be k/10 + 5/25. Is 1/4 != m?
True
Let i be 45/2 + -3 + (-3)/6. Which is smaller: 35/2 or i?
35/2
Suppose -4*q + 11 = -5. Suppose r + q*r - 15 = -5*z, 0 = -r + 3. Is 0 bigger than z?
False
Let h = -73.5 - -74. Is h not equal to -2/9?
True
Let j(b) = b - 8. Suppose 4 = -x - 5*r, 5*x = -r - 3*r + 22. Let o be j(x). Are o and -5/2 equal?
False
Let i be (-9)/(-7) + (-4)/14. Suppose -4 = m + i. Is m smaller than -6?
False
Let x = -65 + 197/3. Suppose 3*n + n - 5 = -j, 5*n = 4*j + 1. Does n = x?
False
Let q be (-56)/22*1880/24. Let l = -976/11 - q. Let x = l - 112. Which is smaller: -2 or x?
-2
Let n = 1/62 - -115/558. Let v be 1/(-4) + 7/28. Which is bigger: v or n?
n
Let z = -1.15 - -0.15. Are 1 and z unequal?
True
Let r = -8 + 11. Is 4 at least r?
True
Let u be 6*-3*4/(-18). Let i(b) = b**2 - 3*b - 4. Let c be i(u). Is c bigger than -3/5?
True
Suppose 12*r = 16*r. Does 0 = r?
True
Let c = -16 - -33. Is 2 > c?
False
Let c = 1.2 - 1.3. Is 0.08 != c?
True
Let c be 2/6 + (-2)/(-3). Let a = 1/135 - 11/27. Which is smaller: a or c?
a
Let i be (-3 + 280/95)/((-2)/10). Is i greater than or equal to 1?
False
Let i = -66/35 - -8/5. Is -33 != i?
True
Let q be (73 - -10)*1/(-3). Let v(k) = 26*k**3 + 1. Let n be v(1). Let l = q + n. Which is bigger: 0.1 or l?
0.1
Let b be ((-2)/(-4))/(4/8). Which is smaller: 5/3 or b?
b
Let y = 16 + -20. Let p = -5/14 + -209/42. Which is greater: p or y?
y
Suppose -2*p + 1 = -1. Let a(j) = -j**2 + 6*j + 1. Let d be a(5). Let z be 1/(-1)*1/d. Is z at most as big as p?
True
Let k = 1.5 + -1.4. Is -7 smaller than k?
True
Let k = 0.72 + -0.7. Let g = k - 0.22. Which is smaller: g or 0.1?
g
Let z(m) be the first derivative of -2*m - 1/2*m**2 + 3. Let t be z(-3). Which is bigger: -2/7 or t?
t
Let l be 15/6*(-48)/110. Is l >= -1?
False
Let f(r) = r + 3. Let h be f(0). Suppose -h = 5*v - 58. Which is greater: 12 or v?
12
Let d(b) = b - 5. Let w be d(7). Suppose -3*q - 3*s + 3 = 0, 3 = 5*q + w*s - 2. Let l = -1/369 - 241/1845. Is q >= l?
True
Suppose 0 = -3*v + 17 + 28. Which is greater: v or 14?
v
Let g = -4 + 10. Which is greater: g or 5?
g
Suppose -8 = -2*w - 2. Let s be ((-8)/40)/(w/(-5)). Which is greater: s or -1?
s
Let g be -2*(6/(-3) + -2). Let k = g + -7. Which is bigger: k or 2/11?
k
Suppose -10 = z - 3*b + b, 4*z + 84 = -3*b. Let j = -17 - z. Do 3 and j have the same value?
False
Suppose 0 = -4*h + v + 406 + 5, 2*v - 10 = 0. Let c = h - 730/7. Let n be (3 - 4)*(-4 - -5). Which is smaller: c or n?
n
Suppose -60 = 5*r - 2*h, r = 2*h - 7*h + 15. Which is bigger: r or -12?
r
Let n be (-6)/9 - 36/4. Let l = 25 - 35. Let i = l - n. Which is greater: -1 or i?
i
Let p = -61 + 51. Which is bigger: 2 or p?
2
Let b(d) = d**3 + 2. Let s be b(0). Suppose 533 = 3*f - 0*t + 2*t, 2*f + 3*t - 362 = 0. Let j = 705/4 - f. Which is bigger: j or s?
s
Let m = -9 + 10. Let t = 2 - m. Is t greater than or equal to 5/4?
False
Suppose 3*g + 3*n = 0, -4*n + 5 = -5*n. Suppose -42 = -2*y - 5*y. Is y bigger than g?
True
Let n(x) = -3 + 6 - 2*x + 1. Let u be n(3). Let j be (8/(-10))/(u/(-5)). Which is bigger: j or -0.2?
-0.2
Suppose j - 3*j - 4*n - 12 = 0, -4*j - 5*n = 9. Suppose j*s + 10 = -s + c, 4*s + 4*c = 16. Which is smaller: s or -0.05?
s
Let t = 5 - 7. Let q = -27/10 - -11/5. Are t and q non-equal?
True
Let j = -14 - -20. Let h be (-12)/(-16)*10/j. Which is smaller: 1 or h?
1
Let n be (-6)/(-4)*(-2)/6. Are n and -1 equal?
False
Let b = -11 + 10.6. Let w = -2.4 - b. Is w >= -5?
True
Let y(k) = k**2 - 4*k - 4. Let a(x) = -3*x**3 - x**2 + x + 1. Let m be a(-1). Let b = 3 + m. Let s be y(b). Is 1/3 at least s?
False
Let s be (-34*1)/(4/6). Which is greater: -50 or s?
-50
Suppose x + 12 = 5*x. Let u = x + -2. Which is greater: u or 1/8?
u
Let f = -2 + 1. Let t(z) = -z**2 - 10*z - 7. Let l be t(-9). Let a(y) = y - 2. Let q be a(l). Which is bigger: f or q?
q
Let b = -0.07 + 2.07. Let h = b + -2. Let d = -0.01 + 2.01. Are d and h non-equal?
True
Suppose -5*j - 9 = -2*r, 9*r = 4*r - 5*j + 110. Which is smaller: 16 or r?
16
Suppose 0 = 2*a + 8 - 2. Let s be 3*((-20)/a)/(-5). Which is greater: -6 or s?
s
Let k(o) = o**3 - 4*o**2 + 2*o. Suppose w + 19 = 5*s, -4*w - 7 = s + 6. Let q be k(s). Let c(d) = d**2 + 2*d - 2. Let y be c(q). Is y greater than 1/4?
True
Let y = 17 + -15. Which is smaller: 20/9 or y?
y
Suppose 6*q - 33 = -165. Is 0.1 != q?
True
Suppose -2*i + g - 3 = 3*i, 0 = -4*g + 12. Suppose i = -0*j - 5*j - 20. Do j and -4 have different values?
False
Let s = -7.5 - 1.5. Is -1/4 less than s?
False
Suppose y = -1 + 6. Let q(f) = -8*f - 2. Let z be q(-1). Which is greater: z or y?
z
Let j = 48 + -42. Is 1 at least j?
False
Let a(q) = q - 5. Let g be (5 - -3) + 1 - 3. Let k be a(g). Let r(x) = x + 2. Let m be r(0). Which is smaller: m or k?
k
Suppose -5*o = -97 + 22. Is 15 less than o?
False
Let k = -1.1 - -8.1. Let q = k + -6.4. Let u = q - 0.7. Is 1 > u?
True
Let d be (-8)/(-30)*(-15)/(-10). Which is greater: d or 5?
5
Let y = -25 + 30. Is 0 <= y?
True
Let n = 0.1 + 0.06. Let l = n + -0.06. Is l bigger than -1/3?
True
Let i be 17 + (0/(-1) - -2). Suppose 0 = -i*a + 18*a - 2. Which is greater: -1 or a?
-1
Let c be (10 + -2)*(-2)/12. Let x = -4 + -3. Let k = x + 7. Are c and k non-equal?
True
Let y(s) = s**3 + 5*s**2 - 7*s - 5. Let a = 1 - 7. Let i be y(a). Let k be (i + 9/6)*2. Which is smaller: 4 or k?
4
Suppose 2*b - 7 = -1. Suppose 6 = c - b*m, -3*m = 4*c - 22 - 2. Which is bigger: c or 4?
c
Let u = 1 - 1. Suppose b + 5*d - 5 = u, 0*d = -4*b - d + 39. Let a be b/(-35) + (-32)/(-63). Is a at least 1?
False
Let n = -1 - -3. Let r = -0.13 + 2.23. Let c = -0.1 + r. Is c at most n?
True
Suppose 3*j + 2 = 4*n - 0, 4*j - n + 7 = 0. Let d be 0 - 5/(75/j). Is d at most as big as 0?
False
Let y = -2/189 - 52/189. Which is bigger: 7 or y?
7
Suppose 4*f - 24 = 6*f. Let h = 10 + f. Let o be (-3)/4 + (h - -3). Does -3 = o?
False
Let y(a) = -23*a - 9. Let z be y(-6). Let c = z + -647/5. Is -1 less than or equal to c?
True
Suppose 5*v - 20 = -4*u + 2*u, -2*u - 20 = -5*v. Let x be (u - 0 - 1) + 28. Suppose 2 - x = 5*w. Are w and -6 equal?
False
Let o be (3 - 1)*14/(-4). Let s be 6/15 - (-111)/(-15). Is o less than s?
False
Suppose u + 3*u = 0. Which is bigger: u or 1/4?
1/4
Let o = 125 + 55. Let i be (o/8)/((-3)/6). Let n = 177/4 + i. Which is smaller: n or 0?
n
Let d = -9 - -8. Which is greater: d or -2/35?
-2/35
Let o be -3 + 1*(-1 + 2). Let u = 7 + -8. Let m = 1 + u. Is o at most m?
True
Let o = -19.53 + -0.47. Which is greater: 2 or o?
2
Let d(j) = 2*j + 8. Let l be d(-6). Let w be (-1 + -3)*5/l. Suppose -2*t - 3*s - w = 2*t, -t - 2*s - 5 = 0. Which is greater: t or 2/3?
t
Let h = 406 + -6898/17. Do 1 and h have different values?
True
Let v(l) = l**3 - l**2 - l. Let y(a) = 4*a**2 + 4*a + 8. Let q(n) = -v(n) + y(n). Let f be q(6). Let i be (-1 + 2)/(2 - 1). Which is smaller: i or f?
i
Let x(r) = -r**2 + 13*r + 3. Let i be x(13). Which is greater: i or 0.2?
i
Let y be 1*(-3 - 24/(-3)). Suppose 5*q + 0*q - y = 0. Let k = 79/5 - 16. Is q >= k?
True
Let r = 14 + -9. Let j be (-2)/r*(0 + 5). Suppose 5*d + 5 = -0. Is j at most d?
True
Let c(b) be the first derivative of b**4/4 - 11*b**3/3 + 9*b**2/2 + 5*b + 3. Let p be c(10). Which is bigger: p or -4?
-4
Let l be ((-6)/4)/((-2628)/48). Which is smaller: -1 or l?
-1
Suppose -5*r + 3*n = 15 + 14, 0 = r - n + 7. Let m(h) = h**2 + 4*h + 5. Let z be m(r). Let f = z + -2. Do f and 2 have different values?
True
Let r = -132 + 388/3. Let n = r + 2. Let x = 0.4 + 0.6. Is x smaller than n?
False
Let g be (-41)/8 - 6/(-48). Is g equal to -1/4?
False
Let z = 8.82 - -0.18. Let r = -7 + z. Which is smaller: -0.1 or r?
-0.1
Let r be 3 - ((-4 - -1) + 1). Suppose -r*j - n = n + 9, 0 = -3*j - 4*n - 11. Which is bigger: -3 or j?
j
Let s = 1.2 - 2.1. Let x = -3.1 + s. Let b = x - -2. Is -0.2 equal to b?
False
Let i = 309.6 + -282. Let z = i + -28. Let b = 0.2 + -0.3. Which is bigger: b or z?
b
Let i(l) = l**2 - 12*l + 3. Let n be i(11). Let a be (2/(-8))/(2/n). Suppose 2*w - 4 = 6. Which is smaller: a or w?
a
| {
"pile_set_name": "DM Mathematics"
} |
52 is divided by 162858.
104
What is the remainder when 11124470 is divided by 273?
266
Calculate the remainder when 90653254 is divided by 2109.
2107
Calculate the remainder when 157739142 is divided by 188.
186
Calculate the remainder when 4830915 is divided by 1610209.
288
What is the remainder when 14003373 is divided by 2800649?
128
Calculate the remainder when 10182383 is divided by 496.
495
What is the remainder when 418978 is divided by 19951?
7
What is the remainder when 1549965 is divided by 44?
21
Calculate the remainder when 104852 is divided by 26207.
24
Calculate the remainder when 5702305 is divided by 7066.
43
Calculate the remainder when 1041355 is divided by 35908.
23
What is the remainder when 15857442 is divided by 456?
42
What is the remainder when 50356374 is divided by 243?
213
Calculate the remainder when 1766227 is divided by 405.
22
What is the remainder when 517474 is divided by 114?
28
Calculate the remainder when 733152 is divided by 36.
12
Calculate the remainder when 1658204 is divided by 388.
280
Calculate the remainder when 87291040 is divided by 158.
148
Calculate the remainder when 33424943 is divided by 28.
27
Calculate the remainder when 5064513 is divided by 2.
1
Calculate the remainder when 59486 is divided by 2232.
1454
What is the remainder when 1387720 is divided by 346924?
24
Calculate the remainder when 237324 is divided by 2242.
1914
What is the remainder when 33605935 is divided by 701?
696
Calculate the remainder when 15101936 is divided by 81.
53
What is the remainder when 7705049 is divided by 782?
3
Calculate the remainder when 4711742 is divided by 83.
81
Calculate the remainder when 41336 is divided by 2500.
1336
What is the remainder when 42354 is divided by 187?
92
Calculate the remainder when 7242100 is divided by 161.
159
Calculate the remainder when 2543327 is divided by 838.
835
Calculate the remainder when 18016 is divided by 14584.
3432
Calculate the remainder when 587167 is divided by 159.
139
What is the remainder when 16454143 is divided by 48?
31
Calculate the remainder when 36868976 is divided by 56.
32
What is the remainder when 2816951 is divided by 47?
6
What is the remainder when 11531790 is divided by 51945?
0
What is the remainder when 9993194 is divided by 234?
224
Calculate the remainder when 42822811 is divided by 1385.
1381
What is the remainder when 67216076 is divided by 35?
11
What is the remainder when 145541 is divided by 4846?
161
Calculate the remainder when 30788395 is divided by 1504.
11
What is the remainder when 1901990 is divided by 475462?
142
What is the remainder when 653244 is divided by 7338?
162
What is the remainder when 107091 is divided by 2727?
738
What is the remainder when 44538 is divided by 142?
92
What is the remainder when 6882383 is divided by 16827?
140
Calculate the remainder when 4558943 is divided by 314.
291
What is the remainder when 3604 is divided by 3366?
238
Calculate the remainder when 315124 is divided by 157322.
480
Calculate the remainder when 86952 is divided by 636.
456
Calculate the remainder when 120132 is divided by 66.
12
Calculate the remainder when 3307889 is divided by 831.
509
Calculate the remainder when 170205 is divided by 5318.
29
What is the remainder when 41914 is divided by 4600?
514
Calculate the remainder when 92261 is divided by 9.
2
Calculate the remainder when 21221 is divided by 577.
449
What is the remainder when 74980 is divided by 37486?
8
What is the remainder when 3016273 is divided by 1312?
1297
What is the remainder when 1175836 is divided by 1175754?
82
What is the remainder when 11168 is divided by 10804?
364
Calculate the remainder when 73925994 is divided by 1500.
1494
Calculate the remainder when 2753304 is divided by 105.
99
What is the remainder when 2156441 is divided by 1078220?
1
What is the remainder when 1555524 is divided by 3749?
3438
Calculate the remainder when 2001158 is divided by 41682.
422
Calculate the remainder when 4042586 is divided by 673728.
218
Calculate the remainder when 70371890 is divided by 50.
40
Calculate the remainder when 776866 is divided by 29.
14
Calculate the remainder when 772636 is divided by 772601.
35
What is the remainder when 2698963 is divided by 6599?
6571
What is the remainder when 119929 is divided by 79?
7
Calculate the remainder when 258777 is divided by 85741.
1554
What is the remainder when 8975 is divided by 3521?
1933
What is the remainder when 426402335 is divided by 29?
23
Calculate the remainder when 12662903 is divided by 297.
11
Calculate the remainder when 2035664 is divided by 635.
489
Calculate the remainder when 5527660 is divided by 1381905.
40
Calculate the remainder when 381684 is divided by 646.
544
What is the remainder when 2248378 is divided by 107061?
97
What is the remainder when 47297 is divided by 9356?
517
What is the remainder when 6731919 is divided by 10?
9
What is the remainder when 172778377 is divided by 1350?
1327
What is the remainder when 32457363 is divided by 1893?
1878
Calculate the remainder when 92716 is divided by 22122.
4228
Calculate the remainder when 192531 is divided by 4913.
924
Calculate the remainder when 29650954 is divided by 3.
1
What is the remainder when 823222 is divided by 342?
28
Calculate the remainder when 40514 is divided by 164.
6
Calculate the remainder when 290108654 is divided by 7.
3
What is the remainder when 82146221 is divided by 1252?
1249
Calculate the remainder when 2343461 is divided by 1722.
1541
What is the remainder when 79272 is divided by 682?
160
What is the remainder when 1133161 is divided by 30?
1
Calculate the remainder when 62705 is divided by 10445.
35
Calculate the remainder when 97604 is divided by 2268.
80
Calculate the remainder when 468979 is divided by 15.
4
What is the remainder when 346191 is divided by 3316?
1327
What is the remainder when 12430 is divided by 2999?
434
What is the remainder when 3674454 is divided by 282650?
4
What is the remainder when 1530219 is divided by 19?
16
Calculate the remainder when 138358 is divided by 1116.
1090
What is the remainder when 19156 is divided by 1432?
540
What is the remainder when 3700723 is divided by 264334?
47
What is the remainder when 5818302 is divided by 32?
30
What is the remainder when 3827199 is divided by 537?
0
Calculate the remainder when 12590903 is divided by 21.
17
What is the remainder when 98019 is divided by 45938?
6143
What is the remainder when 8996613 is divided by 18?
15
What is the remainder when 46115732 is divided by 41?
39
What is the remainder when 56996470 is divided by 42?
34
Calculate the remainder when 2899710 is divided by 263609.
11
Calculate the remainder when 462813178 is divided by 12.
10
Calculate the remainder when 1172805 is divided by 3723.
60
Calculate the remainder when 5307527 is divided by 209.
181
What is the remainder when 3499737 is divided by 583286?
21
Calculate the remainder when 527188 is divided by 527058.
130
What is the remainder when 59145 is divided by 264?
9
Calculate the remainder when 521787 is divided by 7052.
6991
What is the remainder when 17568368 is divided by 172?
116
What is the remainder when 90363 is divided by 9996?
399
What is the remainder when 1141125 is divided by 190185?
15
What is the remainder when 421584 is divided by 22822?
10788
What is the remainder when 433652114 is divided by 584?
578
What is the remainder when 433013 is divided by 47880?
2093
Calculate the remainder when 3588831 is divided by 3034.
2643
What is the remainder when 1148134 is divided by 140?
134
Calculate the remainder when 740361 is divided by 740343.
18
What is the remainder when 24782381 is divided by 54110?
1
Calculate the remainder when 43900 is divided by 337.
90
Calculate the remainder when 584208 is divided by 1765.
1758
Calculate the remainder when 796072 is divided by 99509.
0
Calculate the remainder when 377476 is divided by 188447.
582
Calculate the remainder when 1109085 is divided by 1469.
1459
Calculate the remainder when 597504 is divided by 595938.
1566
Calculate the remainder when 271032 is divided by 88933.
4233
Calculate the remainder when 9241725 is divided by 822.
801
What is the remainder when 94452 is divided by 2306?
2212
What is the rem | {
"pile_set_name": "DM Mathematics"
} |
24/28*2/81. Let c = r - q. Is c greater than or equal to -3?
True
Let n be -7 + -1 + 3 + 7 - 52. Let m = -50 - n. Let i be ((-28)/18)/(1 - -1). Is i smaller than m?
True
Let w(q) = q**2 + q. Let v be w(1). Suppose 8*k + 412 = -95*k. Let a be v*k/(-8)*1. Which is greater: -2/69 or a?
a
Suppose 0 = -4*t + 11 + 13. Suppose t*x = -3*x + 135. Is 15 at most x?
True
Let v(h) = 2*h**2 - 16*h + 30. Suppose -10*x + 48 = 6*x. Let r be v(x). Which is smaller: r or 2/11?
r
Suppose 35*u = 33*u - q + 1028, -3*q = 3*u - 1554. Are u and 531 unequal?
True
Suppose -5*m = g - 260, 178 = 3*m + 50*g - 45*g. Are m and -4 non-equal?
True
Let y be 364/(-65)*2/4. Suppose -d + 1 + 0 = 0. Let q(p) = -4*p**3 + p**2 + p - 1. Let h be q(d). Which is smaller: h or y?
h
Let r be 19/1 + 2 + -1. Suppose 8*x - 12 = -4*c + 4*x, 4*c = -2*x + 8. Let k be 4 - c - -21 - 4. Is k <= r?
True
Let x(k) = -20*k + 263. Let v(z) = -25*z + 333. Let w be v(12). Let r be x(w). Is -396 greater than r?
True
Let v(i) = -i**3 + 80*i**2 + 21*i + 28. Let c be v(80). Is 1709 at least c?
True
Let x = -552.9784 + 553. Let f = 0.0784 + x. Which is smaller: f or 0.001?
0.001
Let j = -2/1375 - 2716/23375. Let v be ((-384)/(-85) - 6) + 2. Let s = j + v. Which is greater: 15 or s?
15
Suppose 0 = 4*z + 4*i - 3724, 0 = z - 5*i - 234 - 697. Which is smaller: z or 10?
10
Let b = -5/6 - -1/3. Let a(o) = 3*o - 51. Let y(j) = j - 17. Let w(r) = -2*a(r) + 7*y(r). Let l be w(16). Which is smaller: l or b?
l
Let h = -4209 - -4210. Does h = -21/67?
False
Let y(h) = h**2 + 9*h + 2. Let u be y(-9). Suppose 15 = -2*d + 5*b, -12 - 3 = -u*d - b. Suppose 2*p - 4 = p, d*p + 133 = -3*a. Is a < -51?
False
Let c = 50 + -34. Let l(k) = -12*k + 16. Let x(i) = 4*i - 5. Let d(y) = -3*l(y) - 10*x(y). Let a be d(-3). Is a bigger than c?
False
Let d = 1324/5 + -269. Let c = -6/127 + 320/1397. Is d <= c?
True
Suppose -4 = -w + 2*g, -w - 5*g + 42 = 3. Is w less than or equal to 14?
True
Let m = 1396 + -1396. Which is smaller: -12/691 or m?
-12/691
Let l = 35 - 36. Let h be -1 - (8 + l - 4). Let n(y) = -y + 6. Let i be n(h). Which is bigger: i or 7?
i
Let j(k) = k**2 - 14*k + 12. Let x be j(13). Let z = -204.117 + 204. Let h = z + -8.883. Is x less than h?
False
Let b = 867 - 864. Let j = -0.003 + -0.057. Is j greater than b?
False
Let b be (-13)/((-364)/(-70)) - (0 - 24/10). Which is greater: b or 0.9?
0.9
Suppose 0 = -93*s + 825178 + 497096. Is -1/2 > s?
False
Suppose -30*h + 23*h = -56. Let g be (h/42)/(6/27). Is -1/5 less than g?
True
Let c(j) = 4*j**2 + j. Let x be c(1). Suppose 6 = -m + g - 6, -m - x*g - 24 = 0. Which is smaller: m or 0.5?
m
Suppose 0*l - 3*t - 66 = -3*l, 4*l + 5*t = 133. Suppose -9*v + 0 = l. Which is smaller: -38/11 or v?
-38/11
Let q = 178 + -177. Let f be q + 28/(-8) + 93/48. Does f = -0.4?
False
Suppose 0 = 9*t - 118*t - 1526. Is t greater than or equal to -157/11?
True
Suppose 125 = -2*x - x + 2*s, -5*x - 207 = -3*s. Let f = x - -43. Let z be ((-2)/f)/((-1)/2). Which is greater: z or 2/49?
z
Let f = 10778/3 + -3599. Is 70 greater than or equal to f?
True
Let n = -856071/1581349 - -39/13069. Let i = n - 4/121. Which is bigger: -8 or i?
i
Let f = -228.72 + 140.09. Let l = f + 88. Which is greater: l or -0.4?
-0.4
Suppose 5*s + 5275 = 5*d, 60*s = 65*s + 5*d + 5225. Are -1051 and s equal?
False
Suppose 2*q = -5*t - 275, -2*q = 5*t - t + 218. Suppose d = -76 + 361. Suppose 4*n = -n - d. Is t != n?
False
Let f be -957 - (20/(-25))/(4/20). Is -954 less than f?
True
Let r be (-9558)/12555 + -3*2/(-10). Are r and 1 nonequal?
True
Let k = -0.084 - 5.226. Let y = 5.57 + k. Is y > -0.04?
True
Let m(y) = -9*y + 40. Let s be m(5). Let v be 0/(((-50)/s)/(-5)). Is v smaller than 2?
True
Let o(i) = -2*i**2 + 3*i + 118. Let m(h) = -2*h**2 + h. Let n(v) = -2*m(v) + o(v). Let f be n(0). Which is smaller: f or 117?
117
Let o = -1406 + 797. Let c = 1016 + o. Is c less than or equal to 408?
True
Let d(g) = 32*g**2 - 83*g - 138. Let h be d(3). Let r be 1*(-2 - -3)*-97. Which is smaller: r or h?
h
Let h be (-1 - (0 - 0))*(-105)/(2100/(-113480)). Which is smaller: -5673 or h?
h
Let l = 0.2 - 0.2. Let a = 3.32 + -1. Let m = -19.32 + a. Is m greater than l?
False
Suppose 9 = -3*o + 3*g, 2*g + g = 3. Let x be 3*o*(-10)/(-12). Let w(y) = -3*y - 18. Let v be w(x). Which is greater: v or -6?
v
Suppose h + 10 = -2*j, -2*h + 3*j = j - 10. Let t be (6/12)/((-1)/4). Let c be (-2 - t) + (-3)/(-27). Is c > h?
True
Let z be (-3)/(-6) + (-42)/68. Let y = z - -21/34. Let f = -1.89 + 1.9. Are y and f unequal?
True
Suppose 5*k + 1402 = 3*y, -3*k - 3*y = 2*k + 1408. Let r = -20846 - -20565. Is k > r?
False
Let c(w) = w**3 + 8*w**2 + 3*w. Let a be c(-8). Let f = 2 + -5. Let k be f + 7 - a/(-7). Which is greater: k or 1?
1
Let h be 8/(-2) - -23 - -5. Let l be h/(-276)*(-2)/22. Is l >= 1?
False
Suppose 14*i - 13*i + 204 = 0. Which is smaller: -613/3 or i?
-613/3
Suppose -3*j + x = 5*x - 9, -x = -2*j + 6. Suppose -j*k + 31 = 298. Let n = 47 + k. Do -41 and n have the same value?
False
Let s be (-3)/9 + (-19)/(-66). Let h(q) = -6*q**2 + 15*q + 27. Let j(w) = w**2 - 2*w - 4. Let m(p) = 4*h(p) + 27*j(p). Let z be m(-2). Which is greater: z or s?
z
Let y be 6/14 - (-320074)/133. Which is smaller: 2408 or y?
y
Let n = 26 + -16. Let c be (28/n)/((-32)/(-8)). Let q = 50 + -49. Are q and c non-equal?
True
Let k = 115.56 - 112.56. Suppose 4*o = -w - 25, o + 3*o = -12. Let d = w + 24. Is k greater than or equal to d?
False
Suppose 8332 - 8320 = 12*n. Is n smaller than -21/130?
False
Let f = -435286914908748125653112283614025/5164168514 + 84289835571533041117353. Let b = f + 2/69786061. Let u = 1631/2 + b. Is 1 less than u?
False
Suppose 24*r - 20*r = 0. Suppose r = 5*c - 5*y - 105, 2*c + 3*y = y + 58. Let x = c - 17. Is x at most as big as 9?
True
Let k be -2 + 2 + 2/107. Let u be (18/(-11))/(24/16) + (-33)/(-363). Which is smaller: u or k?
u
Let s be (-181)/(3 + -1*8). Let p = 43811 - 43776. Are s and p nonequal?
True
Let r = -2921 - -40913/14. Is 1 at least r?
False
Suppose -4*h = 3*y + 209, y = 5*h - h + 213. Let q = -51 - h. Suppose q = -7*t - 5. Which is smaller: t or -6/7?
t
Let r = 0.006 + 0.494. Let j = -7 + 6. Let m = j + 1.06. Which is bigger: m or r?
r
Let d = -83/34 - -4295/102. Which is greater: d or 41?
41
Suppose 0 = -287*v + 325*v + 2812. Suppose w - 87 = -1. Let o = v + w. Which is bigger: o or -1/2?
o
Let v = 34 + -47. Let i be ((-182)/(-13) + v)*(5 - 0). Are 21/5 and i equal?
False
Let h(t) = -11*t - 39. Let k be h(-5). Let x be (4 - (3 + -2)) + -2. Let o be (-536)/(-36) - x/(-9). Which is greater: o or k?
k
Suppose -46*n + 44*n + 4*o + 24 = 0, -2*o = -4*n + 12. Let d be (1*1/96)/6. Which is smaller: n or d?
n
Let y be (0 + -3)*1/3. Let n be -1 - (5742/(-1152) + 4). Which is bigger: n or y?
n
Let p(m) be the first derivative of -m**3/3 + 15*m**2/2 - 51*m + 273. Let q be p(10). Let z be (-2)/(-3) - 2/4. Which is greater: q or z?
z
Let a = 29142 - 29137.5. Are a and 192 unequal?
True
Suppose 2*r - 4 = -2*z, 5 + 5 = 2*z - r. Let f be z*1 + 22 + -18. Is f bigger than 6?
True
Let h be (971/(-1379) - (-560)/784)/(-1*2). Which is smaller: h or 0?
h
Let u = 1.4532 + -75.4532. Is -43 at least as big as u?
True
Let i(a) = a**2 - 3*a - 13. Let x be i(6). Suppose -5*s + x*b = -370, -s + 120 - 48 = -2*b. Let p = -307/4 + s. Which is bigger: 0 or p?
0
Let l(m) = 99*m + 45. Suppose 0 = 50*g - 51*g - 4. Let p be l(g). Do p and -350 have different values?
True
Let n = -322 + 324. Let t(p) = 5*p**2 - 11*p + 3. Let x be t(n). Which is bigger: x or 5/12?
x
Let j = -0.3467 + 1664.3467. Is 1 <= j?
True
Let h = 98 - 96. Suppose a + 2 = j, -a - j - j = h. Let i be 3 - (a - 247/(-49)). Is -1 at least i?
False
Let v be 9 + (-6 - -5) + 9/(-1). Is v >= 3/1681?
False
Suppose -3*a - 48 = -45, -4*u + 4*a = -988. Which is smaller: u or 241?
241
Let k = -17615 + 17615.9. Are -427/4 and k unequal?
True
Suppose 138*k = 150*k + 3588. Which is bigger: k or -0.1?
-0.1
Let y = -2273/1254 + 5/66. Is -7 <= y?
True
Suppose -53 = 3*r - 107. Let h be (0 - 2) + 6 - 204/r. Which is greater: -8 or h?
h
Let p(y) = 6*y**2 + 5*y - 5. Let d be p(8). Let q(j) = 5*j**3 - 28*j**2 - j + 83. Let s be q(7). Is s <= d?
True
Let t = -195 - -254. Let i = -173 + t. Which is smaller: -115 or i?
-115
Let | {
"pile_set_name": "DM Mathematics"
} |
1?
True
Is 282157284 a multiple of 23?
True
Does 8162 divide 934951060?
False
Is 66 a factor of 50804886?
True
Is 461532078 a multiple of 15?
False
Does 13 divide 21200645?
False
Is 1986 a factor of 68590221?
False
Is 63300791 a multiple of 13?
False
Does 10 divide 35506000?
True
Is 16 a factor of 101244624?
True
Does 2933 divide 800753628?
False
Does 82 divide 63562874?
True
Is 29411472 a multiple of 10?
False
Is 147 a factor of 417516897?
True
Is 4 a factor of 126768488?
True
Is 8 a factor of 106013384?
True
Is 204656012 a multiple of 484?
True
Is 2312 a factor of 759461944?
True
Is 3007602 a multiple of 900?
False
Does 67 divide 396042427?
True
Is 48128619 a multiple of 10?
False
Does 63 divide 108171000?
True
Does 25 divide 1822813489?
False
Does 6 divide 38627956?
False
Is 292213221 a multiple of 53?
True
Does 3263 divide 831859431?
True
Is 885592935 a multiple of 603?
True
Is 13 a factor of 93751515?
True
Is 945899013 a multiple of 4?
False
Is 1245 a factor of 182002472?
False
Is 89 a factor of 27248863?
True
Is 1399 a factor of 42828385?
False
Is 396 a factor of 3962160972?
True
Is 190 a factor of 4106477?
False
Is 108939139 a multiple of 3?
False
Is 12591000 a multiple of 120?
True
Is 21304714 a multiple of 21?
False
Is 93069779 a multiple of 2321?
True
Does 472 divide 55681368?
True
Does 146 divide 31652105?
False
Is 39 a factor of 513789044?
False
Does 3138 divide 124632826?
False
Is 61 a factor of 702537714?
False
Does 2623 divide 1067141320?
True
Does 17 divide 892635864?
True
Is 51507456 a multiple of 32?
True
Is 5499 a factor of 1812767346?
True
Is 171725740 a multiple of 915?
False
Is 1873 a factor of 724320941?
True
Does 228 divide 749047260?
True
Is 1455481718 a multiple of 13?
False
Is 7119 a factor of 1882425009?
False
Is 114666014 a multiple of 127?
True
Is 584316432 a multiple of 111?
True
Is 24 a factor of 452573705?
False
Does 174 divide 14779908?
True
Is 479 a factor of 20389593?
True
Does 261 divide 93895811?
False
Is 127 a factor of 221682925?
False
Is 80 a factor of 30031543?
False
Is 1063896001 a multiple of 46?
False
Does 1317 divide 4395352186?
False
Does 5 divide 999440272?
False
Does 2 divide 5682680?
True
Is 10 a factor of 636999411?
False
Does 16 divide 226411371?
False
Does 9 divide 39139659?
True
Does 1962 divide 5409234?
True
Is 1287580812 a multiple of 218?
True
Is 1075844319 a multiple of 4213?
True
Does 218 divide 100122822?
True
Does 1752 divide 88759824?
True
Does 808 divide 460412485?
False
Is 95403111 a multiple of 43?
True
Is 596308765 a multiple of 157?
True
Is 7106 a factor of 4183773842?
False
Is 28451699 a multiple of 513?
False
Is 22 a factor of 3059335246?
True
Is 3163008250 a multiple of 58?
True
Does 66 divide 148588270?
False
Is 5614 a factor of 239914290?
True
Is 106559925 a multiple of 1095?
True
Does 682 divide 4012888?
True
Is 76950989 a multiple of 5?
False
Is 398 a factor of 27050958?
False
Is 10 a factor of 1598420?
True
Is 2403 a factor of 62083908?
True
Is 639 a factor of 71127090?
True
Is 7 a factor of 66409760?
False
Is 920631300 a multiple of 282?
True
Is 57322346 a multiple of 33?
False
Is 12 a factor of 137811153?
False
Is 4367 a factor of 2465844018?
True
Does 23 divide 282488723?
False
Does 29 divide 932007112?
False
Is 334 a factor of 25308850?
True
Is 15 a factor of 1006380262?
False
Does 1309 divide 21616082?
False
Is 90378954 a multiple of 3323?
True
Does 5 divide 144360456?
False
Is 2757 a factor of 60381057?
True
Is 37 a factor of 18645613?
False
Does 28 divide 296107731?
False
Is 15 a factor of 2068452141?
False
Is 15 a factor of 840167744?
False
Is 5 a factor of 146604272?
False
Is 9389715 a multiple of 1005?
True
Is 8 a factor of 351616976?
True
Is 67450129 a multiple of 5?
False
Is 2001938787 a multiple of 787?
False
Does 2831 divide 79140065?
False
Is 555874 a multiple of 121?
True
Is 375 a factor of 1350909750?
True
Does 600 divide 14245843?
False
Is 302338240 a multiple of 16?
True
Does 2711 divide 206052266?
True
Is 235 a factor of 2053469480?
True
Does 138 divide 27172426?
False
Is 62711184 a multiple of 48?
True
Is 251552444 a multiple of 26?
True
Is 81106670 a multiple of 7?
False
Is 3409858063 a multiple of 88?
False
Is 12059776 a multiple of 16?
True
Does 1166 divide 41357639?
False
Does 471 divide 411793982?
False
Does 134 divide 1602281282?
True
Is 1497835757 a multiple of 101?
True
Does 1436 divide 771054471?
False
Is 88054845 a multiple of 45?
False
Does 11 divide 765087180?
True
Does 1414 divide 49398937?
False
Is 49777791 a multiple of 1363?
False
Does 15 divide 29273119?
False
Does 260 divide 10245040?
True
Is 1403148721 a multiple of 114?
False
Does 197 divide 3017375?
False
Is 52 a factor of 343982392?
True
Does 3133 divide 371821048?
False
Does 332 divide 5747501996?
True
Is 154 a factor of 67351284?
True
Is 135 a factor of 2298768?
False
Is 71387779 a multiple of 2?
False
Does 97 divide 31544822?
False
Is 35699906 a multiple of 779?
False
Is 23495304 a multiple of 147?
True
Does 74 divide 380317194?
False
Is 1094 a factor of 443786796?
False
Does 7 divide 24303525?
False
Is 267 a factor of 153705462?
False
Does 217 divide 79805656?
True
Does 81 divide 29316168?
True
Is 20 a factor of 83496520?
True
Is 90 a factor of 5836953806?
False
Is 4168179 a multiple of 49?
False
Does 5529 divide 1786237443?
True
Does 31 divide 158211383?
True
Is 87 a factor of 2137898605?
False
Is 22 a factor of 35656310?
False
Is 2552755440 a multiple of 120?
True
Does 1184 divide 583180110?
False
Does 222 divide 103871528?
False
Does 5375 divide 1184822000?
True
Does 37 divide 474896?
False
Is 1146496 a multiple of 32?
True
Does 19 divide 2849392?
True
Is 92 a factor of 432267380?
False
Does 154 divide 30176454?
True
Is 3307199 a multiple of 97?
False
Is 125 a factor of 317847750?
True
Is 5143632 a multiple of 39?
True
Is 137966373 a multiple of 37?
False
Does 12 divide 64370833?
False
Is 13147396 a multiple of 503?
False
Is 13904170 a multiple of 5?
True
Is 37 a factor of 834683?
True
Is 1025 a factor of 172472650?
True
Does 29 divide 44188064?
False
Is 22 a factor of 48047301?
False
Is 13192790 a multiple of 13?
True
Is 286 a factor of 42830502?
True
Does 256 divide 7138304?
True
Does 78 divide 330537090?
True
Does 126 divide 561188958?
False
Is 167904064 a multiple of 608?
True
Does 2527 divide 234121496?
True
Is 26 a factor of 23025355?
False
Does 328 divide 66522992?
True
Does 19 divide 708339?
True
Is 571743260 a multiple of 17?
False
Is 123947197 a multiple of 11?
True
Is 99570644 a multiple of 5?
False
Is 11864832 a multiple of 21?
True
Is 20376258 a multiple of 21?
True
Is 1965 a factor of 311727600?
True
Does 2667 divide 203696531?
False
Does 85 divide 1153972438?
False
Is 21190381 a multiple of 1788?
False
Does 46 divide 8700798?
False
Is 24603304 a multiple of 1234?
False
Is 25188919 a multiple of 210?
False
Is 47 a factor of 8394858?
True
Does 11 divide 6018055?
False
Is 35 a factor of 202226430?
True
Is 58 a factor of 1028420388?
True
Is 347372337 a multiple of 23?
False
Does 75 divide 4425825?
True
Is 2490449790 a multiple of 3748?
False
Does 5545 divide 1171945236?
False
Is 1329 a factor of 172316811?
True
Is 3 a factor of 35813926?
False
Is 101 a factor of 13502791?
True
Does 84 divide 521278183?
False
Does 408 divide 231318507?
False
Does 47 divide 289991598?
True
Does 5018 divide 794881308?
True
Is 368 a factor of 4717010?
False
Is 37 a factor of 12265204?
True
Is 650 a factor of 71774586?
False
Does 64 divide 4558912?
True
Is 2188157553 a multiple of 219?
True
Does 44 divide 1010275917?
False
Is 706 a factor of 35861272?
False
Is 87 a factor of 109378228?
False
Is 83 a factor of 728708918?
False
Is 297308790 a multiple of 9?
True
Is 38008585 a multiple of 571?
False
Is 61725683 a multiple of 4?
False
Does 3016 divide 74027720?
True
Does 24 divide 485578488?
True
Is 4467 a factor of 460078665?
True
Is 40250022 a multiple of 419?
False
Is 89902953 a multiple of 459?
True
Does 25 divide 11637466?
False
Does 1307 divide 17408228?
False
Is 3 a factor of 86242197?
True
Is 168 a factor of 23783511?
False
Is 23 a factor of 1730647?
False
Is 319215512 a multiple of 28?
True
Is 25326673 a multiple of 177?
False
Is 73948972 a multiple of 1706?
False
Is 3387 | {
"pile_set_name": "DM Mathematics"
} |
ive j.
2
Rearrange -13938*m**3 + 6969*m**3 + 6976*m**3 + 7*m - 35*m**2 to the form c*m + a*m**2 + s + u*m**3 and give u.
7
Express (13322 + 19303 - 1406 + 70462 - 6844)*(0 - 2*u**4 + 0) in the form a*u**3 + q*u**2 + m + j*u**4 + o*u and give j.
-189674
Express 2969*t - 1228*t + 2989*t + 113*t as a + n*t and give n.
4843
Rearrange 73 + 554 - 942*v + 944*v to j + w*v and give j.
627
Express 2 + 13*z**4 - 5*z**4 + 2*z**2 + 0*z**4 + 2*z - 2*z**4 - 3*z**4 - 124*z**3 in the form h*z**3 + k*z**4 + g*z + f*z**2 + p and give h.
-124
Rearrange -80*d**2 - 30*d**2 - 10 + 107*d**2 + 51*d to v*d + u + f*d**2 and give f.
-3
Rearrange -2*r - 268*r**2 - 9*r**4 - 6*r**4 - 46*r**3 - 272*r**2 + 543*r**2 + 200*r**3 to the form i*r**2 + t*r**3 + j*r**4 + w + h*r and give i.
3
Rearrange (-8186*u + 306579 - 306579)*(1 + u - 1)*(2 + 3 - 4) to the form k + i*u**2 + c*u and give i.
-8186
Express (-2*g**2 + 2*g**2 + g**2 + 2*g**3)*(-38*g + 212 - 348 - 7*g) as n + h*g**2 + o*g + i*g**4 + b*g**3 and give n.
0
Rearrange 228*g + 0*g**2 + 3*g**2 + g**2 - 2*g**2 - 221*g to i + j*g + h*g**2 and give j.
7
Rearrange (-22 - 5 + 3)*(-716*x + 719*x - 2 - 6) to w*x + v and give v.
192
Rearrange (-3*h + 3*h + h)*(6 - 3 - 4) - 7176 + 3592 + 127*h + 3585 to x + l*h and give x.
1
Rearrange 365*d**3 + 319*d**3 - 15 + 3*d - 685*d**3 - 12*d**2 to c*d + a*d**3 + t + x*d**2 and give a.
-1
Rearrange -385*v - 1012*v - 2445*v + 124*v to the form r*v + t and give r.
-3718
Express ((2 - 1 - 3)*(-3*p + 2*p + 3*p) + 65*p - 2217 + 1106 + 1120)*(3*p + 2 - 2) as i + g*p + m*p**2 and give m.
183
Express -9 + 46*r + 3*r + 6 - 1 + 1 in the form v + h*r and give v.
-3
Rearrange -418 - 593 + 3*c + 190 + 277 - 509 to the form n + h*c and give h.
3
Rearrange -12 + 10 + x**2 - 3 + 3879*x - 3853*x to c + o*x**2 + p*x and give c.
-5
Express -7*o - 28*o - 135*o**3 - 10*o + o**2 + 4 + 46*o in the form z*o**2 + n*o + t + f*o**3 and give t.
4
Express (-4*j - 3*j + 3*j)*(7 - 9 - 22) + (-2 - 4 + 4)*(-j + 3*j + 2 - 5*j) as g*j + k and give g.
102
Express (-11*w + 18*w + 127*w)*(-8 - 3 + 1) + 3 + 2*w - 3 + 2 - 2 + 2*w as i + v*w and give v.
-1336
Express 32*l**2 - 18*l**2 + 66492*l + l**3 - 14*l**2 - 66725*l + 10 in the form t + y*l**2 + w*l + x*l**3 and give t.
10
Rearrange 1336 - 4010 + 18380*w + 1336 + 1338 to the form f + v*w and give v.
18380
Express -927*s + 894*s - 5573*s - 1887*s in the form y + f*s and give f.
-7493
Express -3623458*k + 0*k**2 + 3623425*k + 13*k**3 - 2*k**2 in the form x + d*k**2 + b*k + t*k**3 and give d.
-2
Express (-1 + 1 - 2*l)*(35*l**2 + 16*l**2 + 26*l**2 + (-1 - 2*l + 1)*(4*l + 17*l - l)) in the form r + i*l**3 + c*l**2 + s*l and give i.
-74
Rearrange -2*v**3 - 4*v**3 - 173 + 8*v**2 + 3*v**4 + 349 - 173 to d*v**4 + u*v + y*v**2 + l*v**3 + b and give b.
3
Rearrange -2*p**2 + 4 + 24*p + 61*p + 0 - 2 to the form u*p + x + i*p**2 and give x.
2
Rearrange (-7534 + 462 - 3735 - 3241 + 2282)*(0 - 4*l + 1 + 3*l) to w + z*l and give w.
-11766
Express 0*p - 2*p - 7 + 4*p - 116*p**2 + 7*p**2 + 8*p**2 as n*p + u*p**2 + h and give n.
2
Rearrange (-48671 - 27179 - 41711 + 2347 + 16443)*(h**3 + 2*h**4 - h**3) to q*h**3 + y*h**4 + r*h**2 + o*h + u and give u.
0
Express (5 + 115*i - 5 - 5990*i)*(0*i - i + 0*i) as z*i**2 + q*i + f and give z.
5875
Rearrange (-20*s + 7*s + 1497 - 1614)*(2 - 3 + 2)*(1 + 2 - 4) to the form v*s + p and give v.
13
Rearrange -60*f**4 - 177*f**4 - 44*f**4 + (-f + 2*f + 2*f)*(-3*f**3 - f**3 + 8*f**3) to the form i*f + t*f**2 + s*f**3 + v*f**4 + j and give v.
-269
Express ((5 + s**2 - 5)*(4*s - 58*s + 4*s) + 8*s**3 - 1 + 1)*(3 - 6 + 1) as l*s + z*s**3 + a*s**2 + h and give z.
84
Express -231 - 16*i**3 + 24*i**2 + 198 - i**4 - i + 34 in the form r*i**2 + a + u*i + q*i**3 + h*i**4 and give a.
1
Rearrange (78*c - 78*c + 50*c**2)*(588 - 313 - 316)*(c**2 + 4 - 4)*(3 - 3 - 1) to the form v*c**2 + k*c**4 + o*c**3 + m*c + u and give k.
2050
Express (37*c + 2*c - 6*c)*(-2*c**2 - 2*c**2 - c**2) + (-3*c + c + 0*c)*(-1 + 1 + 2*c**2) + 4 - c**3 - 4 as l*c + r*c**2 + x + u*c**3 and give u.
-170
Rearrange (2*x**2 - 5*x**2 + 0*x**2)*(-46077*x + 92272*x - 49296*x) to y*x**3 + u + l*x + v*x**2 and give y.
9303
Rearrange (-o**2 - 2*o**2 + 5*o**2)*(351 - 795 - 175*o + 401 - 165*o) to the form y + z*o + b*o**2 + s*o**3 and give z.
0
Express (-d + 2*d**2 + d)*(19 + 14*d**2 - 24 + 6) - 33*d**3 - 20*d**4 + 33*d**3 as z*d**2 + h + b*d**3 + l*d**4 + t*d and give z.
2
Rearrange ((-1 - 2 + 4)*(-9*o - 144 + 144) + (-1 - 1 + 1)*(-2 + o + 2) + 0 - o + 0 + o + 2 - 2)*(40 - 169 - 168) to the form t + d*o and give d.
2970
Express 6150*p - 34300*p + 11382*p as j + v*p and give v.
-16768
Rearrange (a - a + 2*a**2)*(-a - 2*a + 2*a) - 42*a**2 + 41*a**2 + 214*a**3 - 245*a - 210*a**3 to q + d*a**2 + v*a**3 + n*a and give d.
-1
Rearrange -98*h**2 - 2*h - 1048 + 197*h**2 - 101*h**2 + 3*h + 11*h**3 - 8*h**3 to d*h**2 + p + n*h**3 + g*h and give d.
-2
Rearrange -7856 + 417*d**2 + 15705 - 7851 to the form z*d**2 + h*d + s and give s.
-2
Rearrange -35*t**2 + t**3 - 2453*t + 7370*t - 2461*t - 2453*t - 26*t**4 to the form y*t**4 + s*t + p + l*t**2 + i*t**3 and give y.
-26
Express (1 - r**2 - 1)*(0 - 2*r**2 + 0) - 58*r**4 + 63*r**4 + 49*r**4 - 21*r**4 - 29*r**4 + 15*r**4 in the form c + z*r + q*r**2 + i*r**4 + o*r**3 and give i.
21
Express -2*h + 4201201*h**3 - 5 - 4201276*h**3 + h**2 + 2 in the form s*h + g*h**2 + t*h**3 + j and give g.
1
Rearrange -3105*g + 11432*g + 11730*g - 3454*g to the form d + b*g and give b.
16603
Express 154*k**3 + 151*k**3 + 6 - 455*k**3 + 43*k + 149*k**3 - k**2 + 1 in the form y*k + s*k**3 + m + q*k**2 and give y.
43
Express -8605*z**2 + 73468377*z - 73468377*z in the form w*z**2 + r + o*z and give w.
-8605
Rearrange 3*b**3 - 6*b - 18*b**3 - 2*b**2 + 4*b**3 + 20*b**4 - 1 + 5*b - 6*b**3 to f + h*b + q*b**3 + t*b**2 + z*b**4 and give h.
-1
Express 56*w**2 - 134 + 97 - 12*w**2 in the form l*w + o + b*w**2 and give o.
-37
Express f + 2267*f**2 - 1100*f**2 - 1131*f**2 - 7 in the form g*f + o*f**2 + x and give o.
36
Rearrange -94 + 35 - 1864*c + 57 - 3308*c to m*c + k and give k.
-2
Express (4*j - 198*j**2 + 2*j**4 + 198*j**2)*(1536 + 340 + 576 + 3037) as l*j**4 + m*j**3 + y + a*j**2 + b*j and give b.
21956
Rearrange -684*n**2 + 130329 - 65161 - 65168 to r + i*n + b*n**2 and give b.
-684
Express 212 - v - 89 + 3*v**4 + v - 2*v + 2*v**3 + 99 as f + j*v + k*v**2 + l*v**3 + i*v**4 and give j.
-2
Rearrange (-365 - 654 - 171)*(4 + 2*w - 3*w - 1)*(3*w - 3*w - w**2) to a*w**3 + b*w + x + d*w**2 and give a.
-1190
Rearrange -21903 + 21903 + 990*z**2 - 4403*z**2 to the form v*z + m*z**2 + w and give m.
-3413
Express (-318 - 132 + 79)*(5*g**2 + 25*g**2 + 37*g**2) as n + a*g + s*g**2 and give s.
-24857
Express -603*d + 613*d - 108 + 3 as l + b*d and give b.
10
Express (-2 + 1 + 0)*(5*h + 9*h**2 - 3*h - h**2) + 472 - 803 + 333 - 352*h - 2*h**2 as o*h**2 + d + l*h and give d.
2
Rearrange -262*a - 8*a**3 + 12*a**3 + 273*a - 7*a**2 to the form v*a + y*a**3 + b*a**2 + x and give y.
4
Rearrange -23*w**2 + 4*w**3 + 5*w + 30082 - 7*w + w**3 - 30082 to g*w**3 + l*w**2 + d*w + r and give d.
-2
Rearrange -5 + 6 + 5891*z - 9565*z - 1 - 2 to c*z + g and give c.
-3674
Rearrange (-1 - 1 + 1)*((1 + 0 - 3)*(-5*d - 100 + 4*d - 1) - 4*d + 33*d - 13*d)*(-7 - 16 + 7) to c + q*d and give c.
3232
Express -68 + 26 + 7*d - 10*d + 42 - 2884*d**2 as f*d + t + a*d**2 and give t.
0
Express 3 - 53*l - 4*l**3 - 3*l**2 + 946*l**4 + 2*l**3 + 23*l + 28*l in the form q*l**3 + p + m*l + f*l**4 + d*l**2 and give m.
-2
Express -283 + 431 - 3*i + 3*i + 568 - 3*i as r*i + x and give r.
-3
Rearrange 0*u + 4*u + 7*u + (u - 2*u - u)*(4 - 3 + 1) + 13*u - 17*u - 33*u to the form t + v*u and give v.
-30
Express 0*w**4 + 7*w**2 - 677*w**3 + 654*w**3 + 2*w**4 + 2 + 0 in the form m*w + u + s*w**2 + v*w**4 + d*w**3 and give s.
7
Express u**2 - 2*u**2 - 543*u**4 + 266*u**4 + 53*u**3 + 279*u**4 as t*u**4 + d + l*u**2 + m*u**3 + j*u and give l.
-1
Express -1 + z - 3 + 3 + (393 + 215 + 31)*(-26*z + 11*z + 22*z) as o + g*z and give g.
4474
Express 168270*a - 62330*a - 78720*a as c*a + l and give c.
27220
Rearrange -35 + 166 - 55 + 19 - 8*w + 117 to x + p*w and give x.
212
Rearrange 52 + 993*p - 52 - 4956*p to the form s*p + b and give s.
-3963
Rearrange 31*p**2 + 6*p + | {
"pile_set_name": "DM Mathematics"
} |
ob of sequence cll when three letters picked without replacement from pclpcl.
1/30
What is prob of sequence jhdl when four letters picked without replacement from {l: 7, h: 2, j: 1, d: 2}?
7/2970
Three letters picked without replacement from nrnsrnrsrnnnrrr. What is prob of sequence srn?
2/65
Calculate prob of sequence oe when two letters picked without replacement from {e: 2, s: 2, o: 1, j: 2, r: 1, h: 1}.
1/36
Calculate prob of sequence zu when two letters picked without replacement from {d: 5, k: 10, z: 4, u: 1}.
1/95
Three letters picked without replacement from {g: 1, p: 2, v: 1, j: 1, f: 2, m: 2}. Give prob of sequence ppg.
1/252
Three letters picked without replacement from zykyybkkkyzbzykyy. What is prob of sequence kzz?
1/136
Two letters picked without replacement from vmmmomvmmmommm. What is prob of sequence oo?
1/91
Four letters picked without replacement from gymvvvm. What is prob of sequence ymvm?
1/140
Calculate prob of sequence qtp when three letters picked without replacement from {p: 1, q: 1, t: 3}.
1/20
Two letters picked without replacement from eereretreeett. What is prob of sequence tr?
3/52
Four letters picked without replacement from {t: 1, i: 3, f: 1, k: 7, j: 2}. What is prob of sequence ikkt?
3/572
Calculate prob of sequence tjjz when four letters picked without replacement from tjjz.
1/12
Three letters picked without replacement from {e: 1, p: 4, a: 7, u: 2, g: 2, c: 4}. What is prob of sequence pap?
7/570
Four letters picked without replacement from rerrerrrrcrrercrrrc. Give prob of sequence cerr.
39/2584
Calculate prob of sequence jj when two letters picked without replacement from zzzzzzjjzz.
1/45
Four letters picked without replacement from {z: 2, k: 10, p: 6}. Give prob of sequence pppk.
5/306
What is prob of sequence xuwu when four letters picked without replacement from uuwnwxwuwwxwxnwwww?
1/408
What is prob of sequence yq when two letters picked without replacement from qqqqyqqqqqqyq?
11/78
Four letters picked without replacement from {e: 1, c: 3, y: 1}. What is prob of sequence eyec?
0
Three letters picked without replacement from {z: 6, v: 2, h: 11}. What is prob of sequence hvh?
110/2907
Two letters picked without replacement from pppppp. What is prob of sequence pp?
1
Four letters picked without replacement from gkkgkgkgkggg. Give prob of sequence gggg.
7/99
Two letters picked without replacement from pbaabbpab. Give prob of sequence pp.
1/36
What is prob of sequence csxx when four letters picked without replacement from {s: 1, c: 1, x: 4, l: 2}?
1/140
Calculate prob of sequence gauu when four letters picked without replacement from {u: 6, a: 9, g: 2}.
9/952
Three letters picked without replacement from {h: 3, w: 3}. Give prob of sequence whw.
3/20
Four letters picked without replacement from {k: 2, x: 1, l: 1, b: 1, e: 1, y: 1}. Give prob of sequence xkkl.
1/420
Three letters picked without replacement from blfgbnbfbl. Give prob of sequence flf.
1/180
What is prob of sequence wwl when three letters picked without replacement from {e: 4, w: 2, l: 1, n: 2}?
1/252
Three letters picked without replacement from {g: 1, o: 1, f: 2, u: 2}. What is prob of sequence guo?
1/60
Calculate prob of sequence ppgp when four letters picked without replacement from pppgpgp.
1/7
Three letters picked without replacement from rkrrkrrrrk. Give prob of sequence krk.
7/120
Calculate prob of sequence xx when two letters picked without replacement from {x: 2, n: 3}.
1/10
Three letters picked without replacement from {d: 13, k: 3, f: 4}. What is prob of sequence dff?
13/570
Two letters picked without replacement from zbororrdrd. Give prob of sequence br.
2/45
Two letters picked without replacement from {c: 16, l: 4}. Give prob of sequence cc.
12/19
Three letters picked without replacement from {i: 10, e: 4, q: 5}. Give prob of sequence eqe.
10/969
What is prob of sequence prpp when four letters picked without replacement from prgrr?
0
What is prob of sequence yy when two letters picked without replacement from {v: 1, h: 2, y: 2, t: 1}?
1/15
What is prob of sequence vvvn when four letters picked without replacement from {n: 4, a: 2, v: 5, o: 4}?
2/273
Calculate prob of sequence kli when three letters picked without replacement from {l: 7, k: 2, i: 5}.
5/156
What is prob of sequence hrh when three letters picked without replacement from {h: 2, r: 18}?
1/190
What is prob of sequence qqqn when four letters picked without replacement from {t: 3, q: 5, n: 8}?
1/91
Three letters picked without replacement from {o: 6, a: 6, v: 1, x: 1, e: 1}. Give prob of sequence vae.
1/455
What is prob of sequence crv when three letters picked without replacement from vvcvgrckv?
1/63
What is prob of sequence bh when two letters picked without replacement from bhbhbhb?
2/7
Three letters picked without replacement from aaiiiih. What is prob of sequence aii?
4/35
Three letters picked without replacement from ujjjjujuuuuuuuuuuu. What is prob of sequence jju?
65/1224
Calculate prob of sequence cr when two letters picked without replacement from xxccsxcccxcccxckrccs.
11/380
Two letters picked without replacement from rrkrrkkrkkkrkkkkkkk. What is prob of sequence rr?
5/57
Four letters picked without replacement from fnmmmsmffmsmsnsmgmmf. Give prob of sequence sgms.
3/3230
What is prob of sequence fffc when four letters picked without replacement from {c: 3, f: 8}?
7/55
Calculate prob of sequence eg when two letters picked without replacement from zgedtdn.
1/42
What is prob of sequence mhn when three letters picked without replacement from yyfymhyyyyny?
1/1320
Calculate prob of sequence cl when two letters picked without replacement from caaacccaal.
2/45
Two letters picked without replacement from {t: 13, e: 3, a: 3}. Give prob of sequence ee.
1/57
Four letters picked without replacement from wvgggivvvggiwgggvxgg. Give prob of sequence igvv.
10/2907
Calculate prob of sequence or when two letters picked without replacement from {r: 3, x: 1, c: 1, f: 6, i: 1, o: 1}.
1/52
Calculate prob of sequence jy when two letters picked without replacement from xzxzjxxxzjzxzjxjjyj.
1/57
Calculate prob of sequence jj when two letters picked without replacement from {e: 1, b: 3, j: 5, f: 4}.
5/39
What is prob of sequence oox when three letters picked without replacement from ojxjojjjojhozxzojooz?
7/570
Two letters picked without replacement from {j: 6, r: 4, i: 5}. What is prob of sequence jj?
1/7
What is prob of sequence yddy when four letters picked without replacement from ydyyydyyyy?
1/45
Two letters picked without replacement from {q: 1, l: 4, o: 8, p: 2, i: 4, r: 1}. What is prob of sequence ip?
2/95
Two letters picked without replacement from tyetttbbeybbb. Give prob of sequence be.
5/78
Calculate prob of sequence cv when two letters picked without replacement from {x: 11, c: 1, m: 1, v: 3, o: 1, q: 2}.
1/114
What is prob of sequence jn when two letters picked without replacement from vnvjnz?
1/15
Calculate prob of sequence ww when two letters picked without replacement from nwnnnwnnnannnnnnn.
1/136
Two letters picked without replacement from {z: 15, x: 3}. What is prob of sequence xx?
1/51
What is prob of sequence goog when four letters picked without replacement from {o: 9, g: 10}?
45/646
Three letters picked without replacement from {n: 2, l: 8, r: 2, z: 2, s: 1, a: 2}. Give prob of sequence szl.
1/255
Four letters picked without replacement from llalalllllllhlall. What is prob of sequence alah?
13/9520
Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, l: 4, m: 2, r: 4}.
2/91
Three letters picked without replacement from xnxxxnx. What is prob of sequence nnx?
1/21
What is prob of sequence pok when three letters picked without replacement from pkoyozd?
1/105
Two letters picked without replacement from nttxxtnddnxxnntntt. What is prob of sequence dx?
4/153
What is prob of sequence fhhf when four letters picked without replacement from {h: 4, b: 1, o: 1, f: 3, d: 2, k: 4}?
1/455
Three letters picked without replacement from vvrrvvtvvrvctcvvt. What is prob of sequence tcc?
1/680
Four letters picked without replacement from {n: 3, o: 7, y: 2}. What is prob of sequence nono?
7/330
Four letters picked without replacement from {e: 1, | {
"pile_set_name": "DM Mathematics"
} |
s the common denominator of 29/485 and -2/97?
485
Calculate the least common multiple of 189 and 351.
2457
Find the common denominator of 22/207 and -28/115.
1035
What is the common denominator of 3/910 and 87/22?
10010
Find the common denominator of 23/1674 and -53/372.
3348
Calculate the common denominator of -87/310 and 91/186.
930
Calculate the lowest common multiple of 36 and 2.
36
Find the common denominator of -31/309 and 53/2.
618
Calculate the common denominator of -91/12 and 79/1182.
2364
What is the least common multiple of 1050 and 6?
1050
Calculate the smallest common multiple of 31 and 217.
217
What is the least common multiple of 3696 and 1344?
14784
Calculate the least common multiple of 4 and 6.
12
What is the common denominator of -76/15 and 68/15?
15
What is the least common multiple of 1029 and 35?
5145
Calculate the least common multiple of 995 and 1.
995
Calculate the smallest common multiple of 140 and 420.
420
Find the common denominator of 19/27 and -58/11529.
11529
Calculate the common denominator of -19/153 and -26/1071.
1071
What is the smallest common multiple of 112 and 4228?
16912
Calculate the common denominator of 73/860 and 119/6.
2580
What is the least common multiple of 5226 and 7?
36582
What is the lowest common multiple of 14 and 33?
462
Calculate the common denominator of 25/972 and 109/18.
972
What is the common denominator of -11/1136 and 101/994?
7952
Calculate the common denominator of -32/69 and -5/7.
483
What is the smallest common multiple of 69 and 12?
276
What is the common denominator of 137/60 and 41/162?
1620
Calculate the lowest common multiple of 10 and 40.
40
What is the common denominator of 80/57 and -46/27?
513
What is the smallest common multiple of 66 and 924?
924
What is the lowest common multiple of 6180 and 12?
6180
Calculate the common denominator of 55/321 and -7/6.
642
Calculate the least common multiple of 6 and 70.
210
What is the lowest common multiple of 16 and 40?
80
What is the least common multiple of 81 and 189?
567
What is the common denominator of 34/89 and 99/890?
890
What is the lowest common multiple of 28 and 280?
280
Calculate the lowest common multiple of 116 and 18.
1044
Calculate the lowest common multiple of 1 and 553.
553
Calculate the common denominator of -15/13013 and 103/11830.
130130
Find the common denominator of 95/144 and 49/45.
720
What is the common denominator of -133/12 and -61/64?
192
Calculate the lowest common multiple of 54 and 81.
162
What is the common denominator of -103/72 and 3/4712?
42408
What is the smallest common multiple of 704 and 572?
9152
What is the least common multiple of 11 and 31?
341
Calculate the common denominator of -39/2 and 1/7999.
15998
What is the common denominator of 1/8 and -89/158?
632
Calculate the smallest common multiple of 24 and 3.
24
Calculate the smallest common multiple of 5120 and 1536.
15360
Find the common denominator of -56/649 and 121/354.
3894
Find the common denominator of 151/414 and 133/24.
1656
What is the smallest common multiple of 3 and 150?
150
Find the common denominator of 97/54 and 83/12.
108
Find the common denominator of 93/16 and 145/144.
144
Find the common denominator of -83/4 and 24/145.
580
Calculate the common denominator of -81/676 and 57/364.
4732
Calculate the smallest common multiple of 18 and 972.
972
What is the smallest common multiple of 55 and 22?
110
Find the common denominator of 68/3 and -23/7663.
22989
Calculate the common denominator of -9/6952 and 61/12.
20856
What is the lowest common multiple of 3 and 144?
144
What is the lowest common multiple of 63 and 147?
441
What is the lowest common multiple of 2 and 28?
28
Find the common denominator of 42/5 and -157/60.
60
Find the common denominator of 55/1424 and -79/356.
1424
What is the smallest common multiple of 1414 and 707?
1414
What is the least common multiple of 8 and 284?
568
Calculate the least common multiple of 32 and 38.
608
What is the common denominator of 23/1638 and 5/112?
13104
What is the common denominator of 89/2016 and 53/231?
22176
Calculate the least common multiple of 98 and 1281.
17934
Calculate the least common multiple of 78 and 156.
156
Find the common denominator of 34/855 and -48/1615.
14535
Calculate the smallest common multiple of 99 and 432.
4752
Find the common denominator of 31/798 and -20/63.
2394
Calculate the least common multiple of 4300 and 20.
4300
Find the common denominator of 143/6 and 22/39.
78
Calculate the least common multiple of 1278 and 75.
31950
Calculate the common denominator of -67/5428 and -29/16.
21712
What is the common denominator of -97/708 and 61/30?
3540
Find the common denominator of 157/6018 and -39/34.
6018
Calculate the common denominator of -9/760 and 131/30.
2280
Calculate the smallest common multiple of 25 and 10.
50
What is the common denominator of 32/9 and -59/78?
234
Calculate the lowest common multiple of 387 and 396.
17028
Find the common denominator of -97/258 and -115/516.
516
What is the least common multiple of 58 and 28?
812
Calculate the common denominator of 111/40 and -31/25.
200
Calculate the lowest common multiple of 450 and 150.
450
Calculate the lowest common multiple of 6 and 1168.
3504
Calculate the least common multiple of 12 and 170.
1020
Find the common denominator of 2/49 and 25/9.
441
Calculate the common denominator of 113/20 and -11/60.
60
Find the common denominator of 115/6 and -43/288.
288
What is the common denominator of -7/85 and 52/11?
935
Calculate the lowest common multiple of 1140 and 540.
10260
What is the lowest common multiple of 322 and 3234?
74382
Find the common denominator of 47/1088 and -77/2720.
5440
Calculate the common denominator of -25/4456 and -73/8.
4456
Calculate the smallest common multiple of 649 and 9.
5841
Calculate the lowest common multiple of 72 and 810.
3240
Calculate the least common multiple of 21 and 19710.
137970
What is the common denominator of 43/240 and -45/16?
240
What is the common denominator of -47/243 and 52/9?
243
Calculate the common denominator of 67/36 and 83/12.
36
Calculate the lowest common multiple of 12 and 7766.
46596
What is the smallest common multiple of 8 and 2160?
2160
What is the common denominator of -1/1152 and -77/768?
2304
What is the common denominator of 71/152 and 87/250?
19000
Find the common denominator of 113/552 and -45/2.
552
Find the common denominator of -97/6 and 109/48.
48
Calculate the common denominator of -145/96 and -46/75.
2400
What is the lowest common multiple of 3 and 11?
33
Calculate the common denominator of 7/1080 and -93/680.
18360
What is the least common multiple of 10 and 988?
4940
What is the least common multiple of 558 and 57?
10602
Calculate the common denominator of -30/13 and -32/17.
221
Calculate the lowest common multiple of 560 and 3216.
112560
Calculate the common denominator of -19/12 and -49/66.
132
Find the common denominator of 71/675 and 49/825.
7425
Calculate the lowest common multiple of 27 and 78.
702
What is the common denominator of 47/90 and 107/110?
990
What is the common denominator of -61/404 and 15/16?
1616
Calculate the lowest common multiple of 159 and 1272.
1272
Calculate the smallest common multiple of 2088 and 432.
12528
Calculate the lowest common multiple of 1971 and 657.
1971
Calculate the smallest common multiple of 9 and 150.
450
Find the common denominator of 73/32 and -113/160.
160
Calculate the common denominator of 31/7 and 91/178.
1246
Calculate the common denominator of -52/141 and 20/81.
3807
Find the common denominator of 31/5 and -7/221.
1105
Calculate the least common multiple of 117 and 90.
1170
Find the common denominator of 24/497 and -69/4.
1988
Calculate the least common multiple of 72 and 291.
6984
What is the lowest common multiple of 4 and 804?
804
What is the lowest common multiple of 54 and 2142?
6426
What is the least common multiple of 90 and 693?
6930
Calculate the common denominator of 29/767 and 5/3.
2301
Find the common denominator of 4/11 and 44/493.
5423
Calculate the common denominator of 69/134 and -119/1130.
75710
What is the common denominator of 33/4 and -7/24?
24
Find the common denominator of 145/72 and 41/272.
2448
What is the common denominator of 7/2900 and 4 | {
"pile_set_name": "DM Mathematics"
} |
, -20902, -20900, -20898?
2*v - 20908
What is the g'th term of 126, 154, 202, 276, 382?
g**3 + 4*g**2 + 9*g + 112
What is the p'th term of -97, -187, -271, -349, -421, -487, -547?
3*p**2 - 99*p - 1
What is the p'th term of 182, 355, 502, 611, 670, 667, 590?
-2*p**3 - p**2 + 190*p - 5
What is the d'th term of 392, 389, 386?
-3*d + 395
What is the j'th term of -4, -38, -98, -184, -296?
-13*j**2 + 5*j + 4
What is the k'th term of -8056, -8055, -8054?
k - 8057
What is the w'th term of 894, 3557, 7990, 14193, 22166?
885*w**2 + 8*w + 1
What is the p'th term of -187, -357, -515, -655, -771, -857, -907, -915?
p**3 - 177*p - 11
What is the i'th term of 280, 276, 270, 262, 252, 240, 226?
-i**2 - i + 282
What is the i'th term of -57, -87, -129, -177, -225?
i**3 - 12*i**2 - i - 45
What is the p'th term of -19, -29, -61, -127, -239, -409, -649, -971?
-2*p**3 + p**2 + p - 19
What is the r'th term of -821, -825, -831, -839?
-r**2 - r - 819
What is the r'th term of 15, 5, -5, -15, -25?
-10*r + 25
What is the y'th term of 229, 454, 679?
225*y + 4
What is the n'th term of 71, 104, 187, 344, 599, 976, 1499, 2192?
4*n**3 + n**2 + 2*n + 64
What is the v'th term of 28, 22, 16, 10?
-6*v + 34
What is the h'th term of -353, -349, -347, -347, -349, -353, -359?
-h**2 + 7*h - 359
What is the n'th term of 83, 79, 75?
-4*n + 87
What is the n'th term of 3453, 3449, 3445, 3441, 3437, 3433?
-4*n + 3457
What is the b'th term of 105, 406, 915, 1638, 2581, 3750?
b**3 + 98*b**2 + 6
What is the w'th term of 223, 253, 271, 271, 247?
-w**3 + 37*w + 187
What is the b'th term of 6, 24, 78, 186, 366?
3*b**3 - 3*b + 6
What is the d'th term of -6, -14, -32, -66, -122?
-d**3 + d**2 - 4*d - 2
What is the u'th term of -10, -9, -8, -7, -6, -5?
u - 11
What is the f'th term of -15601, -31203, -46805, -62407, -78009, -93611?
-15602*f + 1
What is the a'th term of 96, 144, 194, 246?
a**2 + 45*a + 50
What is the y'th term of -198, -127, -56?
71*y - 269
What is the u'th term of -184, -376, -570, -772, -988?
-u**3 + 5*u**2 - 200*u + 12
What is the r'th term of -59, -65, -71, -77?
-6*r - 53
What is the h'th term of 7327, 7325, 7325, 7327, 7331, 7337, 7345?
h**2 - 5*h + 7331
What is the f'th term of 33, 59, 111, 195, 317?
f**3 + 7*f**2 - 2*f + 27
What is the l'th term of -6, -20, -44, -78, -122, -176?
-5*l**2 + l - 2
What is the f'th term of 587, 590, 595, 602, 611?
f**2 + 586
What is the m'th term of -470, -974, -1488, -2018, -2570?
-m**3 + m**2 - 500*m + 30
What is the j'th term of 17, 22, 29, 38?
j**2 + 2*j + 14
What is the s'th term of 9624, 19247, 28868, 38487, 48104?
-s**2 + 9626*s - 1
What is the s'th term of 10, 11, 4, -11, -34, -65?
-4*s**2 + 13*s + 1
What is the g'th term of -32, -81, -130?
-49*g + 17
What is the l'th term of -50, -53, -56?
-3*l - 47
What is the h'th term of 44, 99, 154, 209, 264?
55*h - 11
What is the z'th term of 54, 145, 246, 363, 502?
z**3 - z**2 + 87*z - 33
What is the b'th term of 742, 729, 718, 709, 702, 697?
b**2 - 16*b + 757
What is the p'th term of -448, -921, -1398, -1879, -2364, -2853, -3346?
-2*p**2 - 467*p + 21
What is the n'th term of -3, 38, 95, 162, 233, 302, 363, 410?
-n**3 + 14*n**2 + 6*n - 22
What is the o'th term of -192, -196, -200, -204, -208, -212?
-4*o - 188
What is the p'th term of 75, 550, 1839, 4350, 8491, 14670?
68*p**3 - p**2 + 2*p + 6
What is the n'th term of 1082, 2163, 3244?
1081*n + 1
What is the l'th term of 383, 770, 1161, 1556, 1955, 2358?
2*l**2 + 381*l
What is the m'th term of 189, 375, 559, 741, 921, 1099, 1275?
-m**2 + 189*m + 1
What is the z'th term of -1132, -1134, -1136, -1138, -1140?
-2*z - 1130
What is the q'th term of -148, -302, -456, -610, -764?
-154*q + 6
What is the a'th term of -4, -19, -50, -103, -184, -299, -454, -655?
-a**3 - 2*a**2 - 2*a + 1
What is the v'th term of 1834, 1826, 1814, 1798, 1778, 1754?
-2*v**2 - 2*v + 1838
What is the v'th term of 208, 267, 326, 385, 444?
59*v + 149
What is the p'th term of -2872, -2870, -2868?
2*p - 2874
What is the a'th term of 77, 154, 235, 320, 409, 502, 599?
2*a**2 + 71*a + 4
What is the z'th term of 160, 331, 502, 673?
171*z - 11
What is the y'th term of 112, 247, 404, 583?
11*y**2 + 102*y - 1
What is the n'th term of -29899, -29895, -29889, -29881, -29871, -29859?
n**2 + n - 29901
What is the j'th term of -5, -12, -25, -44, -69?
-3*j**2 + 2*j - 4
What is the o'th term of 149, 300, 453, 608, 765?
o**2 + 148*o
What is the l'th term of -12, -216, -802, -1962, -3888, -6772?
-32*l**3 + l**2 + 17*l + 2
What is the f'th term of -135, -268, -413, -576, -763?
-f**3 - 126*f - 8
What is the z'th term of -7, 15, 39, 65?
z**2 + 19*z - 27
What is the h'th term of -467, -460, -443, -410, -355?
h**3 - h**2 + 3*h - 470
What is the f'th term of -51, -54, -57, -60, -63?
-3*f - 48
What is the c'th term of 606, 622, 638, 654, 670, 686?
16*c + 590
What is the o'th term of -42, -44, -46, -48, -50, -52?
-2*o - 40
What is the w'th term of 13, 52, 113, 196, 301, 428?
11*w**2 + 6*w - 4
What is the j'th term of 4, -115, -446, -1097, -2176, -3791?
-18*j**3 + 2*j**2 + j + 19
What is the b'th term of -7, 17, 57, 113, 185, 273?
8*b**2 - 15
What is the s'th term of 75, 76, 77, 78, 79?
s + 74
What is the l'th term of -321, -489, -647, -789, -909?
l**3 - l**2 - 172*l - 149
What is the j'th term of -50, -31, -50, -125, -274, -515, -866?
-3*j**3 - j**2 + 43*j - 89
What is the k'th term of 744, 1484, 2224?
740*k + 4
What is the c'th term of 9, 14, 31, 66, 125, 214, 339?
c**3 - 2*c + 10
What is the b'th term of -547, -1095, -1641, -2185?
b**2 - 551*b + 3
What is the c'th term of -15, -65, -149, -267, -419?
-17*c**2 + c + 1
What is the p'th term of -11, -10, -9, -8, -7?
p - 12
What is the s'th term of 8, 9, 10, 11?
s + 7
What is the w'th term of 10713, 21420, 32123, 42822, 53517?
-2*w**2 + 10713*w + 2
What is the z'th term of 2, 14, 50, 122, 242, 422?
2*z**3 - 2*z + 2
What is the x'th term of 1300, 2615, 3930, 5245, 6560?
1315*x - 15
What is the w'th term of -42, -67, -56, 9, 146, 373, 708?
3*w**3 - 46*w + 1
What is the v'th term of -2649, -2648, -2647?
v - 2650
What is the u'th term of 1214, 1207, 1192, 1163, 1114, 1039, 932?
-u**3 + 2*u**2 - 6*u + 1219
What is the f'th term of 19, 80, 175, 298, 443?
-f**3 + 23*f**2 - f - 2
What is the y'th term of -642, -1277, -1906, -2523, -3122, -3697, -4242?
y**3 - 3*y**2 - 633*y - 7
What is the p'th term of -71, -93, -113, -131, -147?
p**2 - 25*p - 47
What is the o'th term of 179, 639, 1395, 2441, 3771?
-o**3 + 154*o**2 + 5*o + 21
What is the o'th term of 79, 106, 133, 160, 187, 214?
27*o + 52
What is the j'th term of 4258, 4259, 4264, 4273, 4286, 4303, 4324?
2*j**2 - 5*j + 4261
What is the z'th term of 6, 14, 34, 72, 134, 226?
z**3 + z + 4
What is the l'th term of -821, -902, -981, -1058, -1133?
l**2 - 84*l - 738
What is the n'th term of 102, 188, 278, 372, 470, 572, 678?
2*n**2 + 80*n + 20
What is the a'th term of -168, -324, -478, -630, -780, -928?
a**2 - 159*a - 10
What is the z'th term of 187, 183, 177, 169, 159?
-z**2 - z + 189
What is the c'th term of 23, 56, 89, 122, 155?
33*c - 10
What is the a'th term of 114, 171, 266, 399?
19*a**2 + 95
What is the z'th term of 14, 4, -36, -118, -254?
-2*z**3 - 3*z**2 + 13*z + 6
What is the j'th term of -529, -1055, -1579, -2101, -2621?
j**2 - 529*j - 1
What is the y'th term of -122, -291, -460, -629, -798, -967?
-169*y + 47
What is the q'th term of -591, -1177, -1763, -2349?
-586*q - 5
What is the v'th term of 490, 497, 506, 517?
v**2 + 4*v + 485
What is the r'th term of 10, 29, 34, 19, -22, -95, -206?
-r**3 - r**2 + 29*r - 17
What is the i'th term of -255, -514, -773?
-259*i + 4
What is the m'th term of -154, -268, -386, -508?
-2*m**2 - 108*m - 44
What is the h'th term of 20, -8, -50, -112, -200?
-h**3 - h**2 - 18*h + 40
What is the c'th term of 500, 516, 542, 584, 648, 740, 866, 1032?
c**3 - c**2 + 12*c + 488
What is the z'th term of 98, 90, 68, 26, -42, -142, -280, -462?
-z**3 - z**2 + 2*z + 98
What is the s'th term of -10932, -21861, -32790, -43719, -54648, -65577?
-10929*s - 3
What is the q'th term of 1936, 1935, 1934?
-q + 1937
What is the f'th term of 77, 301, 673, 1193, 1861, 2677?
74*f**2 + 2*f + 1
What is the j'th term of 2978, 5964, 8950, 11936, 14922, 17908?
2986*j - 8
What is the x'th term of 17, 29, 57, 107, 185?
x**3 | {
"pile_set_name": "DM Mathematics"
} |
ative of u(a) wrt a.
-1320*a**3
What is the second derivative of 26*x**5 - 49*x**5 - 9*x - 5*x wrt x?
-460*x**3
Let r(d) be the second derivative of -d**7/42 + 2*d**3/3 - 4*d. What is the second derivative of r(m) wrt m?
-20*m**3
Let q(n) = -n - 1. Let b(h) = h + 1. Let x(k) = 3*b(k) + 4*q(k). What is the derivative of x(m) wrt m?
-1
Let f(q) be the second derivative of 5*q**8/336 + q**5/30 + 5*q**2/2 - 4*q. Let o(c) be the first derivative of f(c). Find the third derivative of o(h) wrt h.
300*h**2
Suppose 0 = -3*t + 1 + 5. Let k be ((-12)/4)/(6/(-8)). Differentiate 2*p**t - 2*p**2 - 4 - 3*p**k + 0*p**2 with respect to p.
-12*p**3
Find the second derivative of -2*j**3 - 51*j - 9*j**3 - 19*j + 10*j wrt j.
-66*j
Suppose 0 = -o + 2. Let u(s) = s**2 + 2*s - 3. Let y be u(o). Find the second derivative of -2*l**y + l + l + 5*l**5 wrt l.
60*l**3
Let n(d) be the second derivative of -7*d**6/30 + 19*d**3/6 + 25*d. What is the second derivative of n(f) wrt f?
-84*f**2
Suppose 3*v = v. Differentiate -1 + v - 4*l + 0 wrt l.
-4
Let g(s) = s**2 - s. Let x(h) = 9*h**3 - h**2 - 14*h. Let w(o) = g(o) + x(o). Find the second derivative of w(a) wrt a.
54*a
Let g(x) = -7*x - 2. Let y(w) = -11*w - 3. Let v(k) = -8*g(k) + 5*y(k). Find the first derivative of v(l) wrt l.
1
Let l(n) be the second derivative of -8*n**3/3 + 2*n**2 + 12*n. Find the first derivative of l(h) wrt h.
-16
Let q be -6 - 4/(-4 + 2). Let p = q + 6. What is the second derivative of 3*a**2 - 2*a**2 - p*a + a**2 + a**2 wrt a?
6
Let l(a) be the second derivative of 2*a**6/5 + 3*a**2/2 + 5*a. What is the derivative of l(v) wrt v?
48*v**3
Let u = 5 - 3. What is the third derivative of 4*n**2 - u*n**2 + n**6 + 2*n**2 - 6*n**6 wrt n?
-600*n**3
Find the second derivative of -8*i**3 + 8*i**3 + 19*i**4 + 19*i wrt i.
228*i**2
Let b be (6/(-2))/(-5 - -4). Find the first derivative of -5*y**3 + 0 + y**b + 2 wrt y.
-12*y**2
Let k(l) = -l**2 - 7*l + 3. Let h be k(-7). Let u(f) be the third derivative of 2*f**2 + 0*f + 0 - 1/6*f**h + 1/24*f**4. What is the derivative of u(a) wrt a?
1
Let n(l) = -3*l. Let g be n(-1). What is the second derivative of 2*v**g - v - 3*v**3 + 0*v**3 - 3*v wrt v?
-6*v
Let c(f) = -3*f + 2. Let l(w) = -3*w + 1. Let y(s) = s**3 + 2*s**2 + 2*s - 2. Let n be y(-2). Let h(a) = n*c(a) + 7*l(a). Differentiate h(u) with respect to u.
-3
Let j(n) = 5*n - 1. Let z be j(1). Differentiate 1 + 2 - 2*y**z - 2*y**4 with respect to y.
-16*y**3
Let t be (5 - 1) + 2 + 0. Let j = t + -4. Find the second derivative of j*g - g - 2*g**2 + 2*g wrt g.
-4
Let j(r) be the first derivative of 5*r**2/2 - 4*r + 4. Find the first derivative of j(x) wrt x.
5
Let p = 4 + -2. What is the second derivative of -4*z - 4*z**p + 5*z**3 + 4*z**2 wrt z?
30*z
Let r(o) = 5*o**3 - 12*o**2 + 9*o - 3. Let n(m) = 4*m**3 - 12*m**2 + 7*m - 2. Let x(z) = 3*n(z) - 2*r(z). What is the second derivative of x(y) wrt y?
12*y - 24
Let j(c) = 2*c - 11. Let d be j(8). Suppose 4 = -3*n + d*n. Find the second derivative of -3*u**5 - 3*u + 6*u**2 - 6*u**n wrt u.
-60*u**3
Let m = 6 - 2. What is the third derivative of 0*r**2 + 0*r**m + r**4 - 4*r**4 - 3*r**2 wrt r?
-72*r
Suppose 6 = -2*f + 4*f + u, -5*u = -3*f + 9. What is the third derivative of m**2 + m**2 + 3*m**f - 2*m + 2*m wrt m?
18
Let t(o) be the second derivative of o**5/5 + 6*o**2 - 2*o. Find the first derivative of t(g) wrt g.
12*g**2
Let s(y) = y**3 - 9*y**2 - y + 10. Let g be s(9). What is the first derivative of g + 7*v**2 - 7*v**2 - 3*v**3 wrt v?
-9*v**2
Let d(f) be the first derivative of -1 - 3 - f**2 + 1 + 0*f - 3*f. Differentiate d(b) wrt b.
-2
Let z be (-5)/((-10)/(-8))*1. Let f be 40/16*z/(-5). What is the third derivative of -2*n**2 + n**2 - 3*n**5 + n**2 + 2*n**f wrt n?
-180*n**2
Let y be -1 + 4 - (-3 + 1). What is the second derivative of -2*d + 4*d**y - 6*d**5 - d wrt d?
-40*d**3
Suppose -1 - 14 = -5*i. Find the second derivative of -9*w**2 - 3*w + w + i*w**2 wrt w.
-12
Let n(v) be the third derivative of 4*v**2 - 1/2*v**3 + 1/30*v**6 + 0*v + 0*v**4 + 0 + 0*v**5. Differentiate n(f) with respect to f.
12*f**2
Let r(o) = o**3 - 6*o**2 - 7*o + 1. Let y be r(7). Differentiate 0 - v + 2 - 2*v + y with respect to v.
-3
Let n(c) = -c + 2. Let l be n(-3). Find the third derivative of -3*w**2 + l*w**6 - w**6 - 11*w**6 wrt w.
-840*w**3
Let z(u) be the first derivative of -u**7/14 - u**3/3 - 3*u + 2. Let c(s) be the first derivative of z(s). What is the second derivative of c(q) wrt q?
-60*q**3
Let h(k) be the first derivative of 0*k**3 + 3/4*k**4 + 2 - k**2 + 0*k. What is the second derivative of h(g) wrt g?
18*g
Suppose 0 = -3*i + 5*b + 19, 11*i = 6*i - 4*b + 7. What is the derivative of -20*s + 4 + 24*s - i wrt s?
4
Differentiate 7 + 43*t**3 - 43*t**3 + 4*t**4 wrt t.
16*t**3
Let q(p) be the first derivative of 1/24*p**4 + 0*p + 3/2*p**2 + 1/6*p**3 - 4. Let z(a) be the second derivative of q(a). Differentiate z(f) with respect to f.
1
Suppose 3*q = 2 + 13. Find the second derivative of -6*t**5 + 0*t + q*t**5 + 2*t wrt t.
-20*t**3
Let x(t) = 2*t - 4. Let s be x(4). Suppose s + 9 = k. Find the third derivative of k - 13 + 2*n**3 - 2*n**2 wrt n.
12
Let j(s) be the first derivative of 0*s + 3/4*s**4 + 5/3*s**3 - 1 + 0*s**2. What is the third derivative of j(z) wrt z?
18
Let t(w) = -w**2 + 5*w - 1. Let q = -7 - -11. Let b be t(q). Find the second derivative of -b*h**3 + 3*h**3 + h**3 - h wrt h.
6*h
Let x(g) = 27*g**2 - 25. Let f(j) = 54*j**2 - 48. Let y(s) = 4*f(s) - 7*x(s). Differentiate y(l) wrt l.
54*l
Let t(x) = -x**5 - x**4 + x**2 - x. Let r(y) = -19*y**5 - 2*y**4 + 2*y**2. Let n(l) = r(l) - 2*t(l). What is the second derivative of n(c) wrt c?
-340*c**3
Let n(f) be the second derivative of 0 + 0*f**3 - 1/6*f**4 + 2*f**2 - 4*f. What is the first derivative of n(t) wrt t?
-4*t
Let k(a) be the first derivative of -1 + a + 0*a**3 - a**2 - 1/12*a**4. Let o(z) be the first derivative of k(z). What is the first derivative of o(x) wrt x?
-2*x
Let p be 0 - (0/(-3))/(2/2). Let t(o) be the first derivative of -4 + 0*o**3 + 1/2*o**4 - 1/2*o**2 + p*o. Find the second derivative of t(l) wrt l.
12*l
Let j(v) be the first derivative of 3*v**4 + 16*v**3/3 + 12. Find the third derivative of j(u) wrt u.
72
Let k(u) be the second derivative of 0 + 0*u**3 + 0*u**2 + 1/4*u**4 - 2*u - 1/10*u**5. What is the third derivative of k(j) wrt j?
-12
Let r(u) be the third derivative of 0*u**5 + 0*u**3 + 0*u**6 + 0 + 0*u - 1/12*u**4 + 0*u**7 - 1/336*u**8 + u**2. What is the second derivative of r(w) wrt w?
-20*w**3
What is the first derivative of -51*s**4 - 45*s**4 + 30 + 64*s**4 wrt s?
-128*s**3
Let b(l) = l**2 + 3*l - 3. Let h be b(-3). Let s = h + 5. What is the third derivative of -2*p**2 + 2*p**2 - 2*p**2 - s*p**5 wrt p?
-120*p**2
What is the third derivative of -11*r**3 - 8*r**2 + 38*r**3 - 17*r**3 wrt r?
60
Let w = 7 + -3. What is the third derivative of -1 + 0 + w*u**3 - 2*u**2 + 1 wrt u?
24
Suppose 2*v = -n + 9, -2*v + 18 + 0 = 4*n. Let t = 6 + -3. Find the second derivative of 0*o**t - 2*o**3 - n*o + 5*o + 5*o**3 wrt o.
18*o
Find the second derivative of 2*y - 8*y**2 - 27*y - 8*y**2 wrt y.
-32
Let h(j) be the third derivative of -2*j**8/21 + j**5/10 - 31*j**2. Find the third derivative of h(m) wrt m.
-1920*m**2
Let h = -15 - -9. Let k(c) = c**2 - c - 1. Let l(p) = -9*p**2 + 6*p + 9. Let y(n) = h*k(n) - l(n). Find the first derivative of y(o) wrt o.
6*o
Let o(q) = -11*q**3 + 95*q**2 + 49*q - 3. Let g(b) = -7*b**3 + 63*b**2 + 33*b - 2. Let w(c) = -8*g(c) + 5*o(c). Find the second derivative of w(i) wrt i.
6*i - 58
Let u(c) be the second derivative of -19*c**5/20 - 13*c**4/12 - 28*c. What is the third derivative of u(g) wrt g?
-114
Let z(r) be the third derivative of 0*r**3 + 0*r**4 - 1/12*r**5 + 0*r - 7*r**2 + 0 + 1/60*r**6. Find the third derivative of z(a) wrt a.
12
Let a = -16 - -19. What is the second derivative of -3*k**a - 4*k**3 + 5*k - 4*k + 3*k wrt k?
-42*k
Let k(p) = -2*p - 12. Let n be k(-6). Let i(z) be the first derivative of -2 + n*z**3 - 1/2*z**4 + 0*z**2 + 2*z. What is the derivative of i(s) wrt s?
-6*s**2
Suppose 0 = -2*n - 3 + 9. What is the derivative of -1 + z**n + 3 + 1 + 0*z**3 wrt z?
3*z**2
Let v(a) be the third derivative of -a**7/15 - 17*a**3/6 - 13*a**2. Differentiate v(l | {
"pile_set_name": "DM Mathematics"
} |
. Which is the closest to o? (a) -1 (b) 0.1 (c) z
c
Let f = 0.2 - 0.8. Let t = f + 1.6. What is the nearest to t in -2, 5, 3?
3
Let g = 23 - 22. Which is the nearest to -1? (a) 0 (b) 3/8 (c) g
a
Let w = 0.3 - 0.1. Let p = -118 + 124. What is the nearest to p in 0, w, 3/2?
3/2
Let z be 7/(-21) - (-53)/(-3). Let h be (-1)/(z/(0 - 3)). Let t(b) = -b**2 - 5*b + 6. Let q be t(-6). What is the closest to 0 in 1, h, q?
q
Let x(i) = -3*i**2 + 4*i + 5. Let w be x(4). Let n be 33/w - (1 + -2). What is the closest to 0.1 in -5, 5, n?
n
Let x = 128/325 - 6/25. Let r = -0.07 + -0.03. What is the closest to 2 in r, -5, x?
x
Suppose -3*z = 2*z. Let q = 1.6 - 5.4. Let m = q + 4. Which is the nearest to z? (a) -1 (b) -2/5 (c) m
c
Let r = 18 + -13. Let w = 0.3 + -0.29. Let v = -0.41 + w. Which is the nearest to 2/7? (a) 3/5 (b) r (c) v
a
Let h = 0.4 - 0.6. Let w be (0 + 3)/((-357)/(-14)). Let u = -1 + 1.1. Which is the nearest to u? (a) w (b) h (c) -2
a
Let h = -331 - -328.23. Let t = 0.23 - h. What is the closest to -0.1 in -2, -3/2, t?
-3/2
Let z be (12/10)/((-8)/(-60)). Suppose 3*x = 3*n - 0*x + z, 8 = -2*n + 4*x. Let b be 8/(-44) + n/110. What is the nearest to b in -0.5, 5, -0.1?
-0.1
Let k = -35 - -32. Which is the nearest to 4? (a) 0 (b) 4 (c) k
b
Let p be 4 - ((-1)/(-1) - 1). Let v = -226 - -226.1. What is the closest to v in 0.3, p, -3?
0.3
Suppose -2*h = -4*q + 18, -2*h - 23 = -7*q + 2*q. Which is the closest to -1/2? (a) -2/7 (b) 0.14 (c) q
a
Let z = -0.44 + 0.42. What is the nearest to 1 in 4/5, -3, z?
4/5
Let z = 6.6 + -10.6. Which is the nearest to -2? (a) -2 (b) z (c) -2/15
a
Let o = 2 - 0. Let z = -4 - -3.99. Let t = z + -0.39. What is the closest to o in 0, t, 1?
1
Let l(r) = -r**3 - r - 1. Suppose 5 = -5*t + v, -4*t - 6*v + 15 = -3*v. Let j be l(t). Let i = -82 + 84. Which is the closest to j? (a) -0.4 (b) i (c) -1
c
Let v be (6/(-28))/((-5)/10). Let k(h) = -h**3 - 6*h**2 + 4. Let p be k(-6). Suppose 5*s - p = s. Which is the closest to -1/3? (a) s (b) v (c) -4
b
Let v = 1.99 + -0.19. Let h = v - -0.2. What is the nearest to 0 in 3, h, -0.5?
-0.5
Let z = 7.5 - 1.5. Let d = -4 + z. Which is the nearest to -0.2? (a) 0.2 (b) 0.4 (c) d
a
Let i be 1*3*24/324. Let d be 9/(-3)*4/(-3). Which is the nearest to -0.1? (a) d (b) i (c) -0.5
b
Let t = -28 - -28. Which is the nearest to 0.1? (a) 1/3 (b) 2/5 (c) t
c
Let u = -215 - -1937/9. Let q be -1*(0 - 1/5). Which is the closest to u? (a) 3 (b) 0 (c) q
c
Let t = -1.067 - -0.067. Which is the closest to -3? (a) -0.2 (b) -4 (c) t
b
Let q = 0.07 - -0.33. Which is the nearest to 15? (a) q (b) 3/5 (c) -5
b
Let p = -0.06 + 4.06. Let m = -2 + 0. What is the nearest to m in 0.3, p, 0?
0
Suppose 0 = -6*i + i - 20. Which is the nearest to -1/4? (a) 3 (b) 2/3 (c) i
b
Let p be (-1*(1 - 5))/2. Let t = 13 + -3. Let d = 15 - t. What is the nearest to p in 1/2, d, 0.2?
1/2
Let s = -3 + 4. Let m = 2.1 + -2. Let r = 26.9 - 27. Which is the closest to m? (a) s (b) -0.5 (c) r
c
Let g = -2 + 2. Let d(j) = -j**3 - 6*j**2 + 5*j + 4. Let l be d(-7). Suppose -4*f = -2 - l. Which is the closest to g? (a) f (b) 2/5 (c) 2
b
Let g = 0.002 + -3.002. Which is the closest to 1? (a) g (b) -1/2 (c) -0.2
c
Let u = -2/55 - 47/220. Which is the closest to -1? (a) 1/3 (b) u (c) -0.1
b
Let z be (-1)/(-1*2/4). Suppose -4*u - 8*n - 4 = -4*n, -5*n - 41 = -4*u. What is the nearest to 0 in -5, z, u?
z
Let r = -26 - -25. Which is the nearest to -1/3? (a) -0.3 (b) r (c) -2/5
a
Let p = -383/2760 - -1/184. Let i = -1 - -2. Let v = 2.3 + -2. What is the nearest to i in v, 2, p?
v
Let v = -5 + 5. Which is the closest to 0.1? (a) 2 (b) v (c) -2/3
b
Suppose -3*k - 2*k + 3*x = -12, 0 = 3*k + 5*x - 14. Which is the nearest to k? (a) -5 (b) 0.4 (c) 4
c
Let l = 78 - 79. Which is the closest to -2? (a) 1 (b) -4 (c) l
c
Let w = 43 + -27. Let x = 18 - w. What is the closest to 3 in 2/3, -2, x?
x
Let o = -1/151 + 309/1057. Let l(m) = -m**2 + m - 3. Let q be l(0). Let d be (6/(-9))/((-5)/q). What is the nearest to -1 in -1/4, d, o?
d
Let z = 0.13 - -0.37. Which is the nearest to 1/3? (a) 5 (b) z (c) -0.1
b
Let v be (2/(-6))/(7 - 8). Let o = -0.1 + 0.1. Which is the nearest to v? (a) -2/5 (b) 1 (c) o
c
Let z = 12 - 9. Suppose g - 28 = -2*g + 5*s, -g + 3*s + 16 = 0. Let p(t) = -t**3 - 6*t**2 - 3*t + 5. Let i be p(-5). What is the nearest to g in 1, z, i?
1
Suppose 5*p = -3*g - 10 - 0, 25 = -5*g. Let h be 5/60*(-3)/2. What is the closest to 0 in p, 5, h?
h
Let v = 15 + -25. Let j be 4/v*5/(-6). What is the closest to 1 in j, 0, 0.4?
0.4
Let x = -33.58 - -35. Let q = -0.18 - x. Let y = q - 0.4. What is the closest to y in -1/3, -5, 0.5?
-1/3
Let d be (-16)/18*(-3)/(-4). Suppose -1 - 1 = -2*y. Let n be y*(26/14 + -2). What is the closest to -1 in n, 0.5, d?
d
Let d = -415138/19665 - 4/6555. Let s = -21 - d. Suppose 0 = 5*l - 1 + 26. Which is the nearest to -0.1? (a) s (b) l (c) 2/7
a
Suppose 1 = 7*s - 6. What is the closest to s in 2, -0.4, 1/8?
1/8
Suppose 0 = -7*b + 2*b. What is the closest to -1 in -2/5, -4, b?
-2/5
Let v = -1.004 + 0.004. What is the nearest to -3 in -2/3, -2/9, v?
v
Let c = -2 - -1.7. What is the nearest to -2 in c, -6, 0.2?
c
Let m be 4/(-63) - 6/27. Let u be -3*(32/12 - 2). Which is the closest to 1? (a) -1 (b) m (c) u
b
Let t = 17 + -11. Let i = -5.4 + t. Let h = 3.6 - i. What is the closest to 1 in h, -3/2, -2/13?
-2/13
Let m = -4 + 4.1. What is the closest to m in 5, -1/2, -0.4?
-0.4
Let i = 12 + -17. What is the closest to 0.1 in -2/21, i, 0.19?
0.19
Let p = -22 - -43/2. Let h = 0.3 - 2.3. Which is the nearest to p? (a) 4 (b) -3 (c) h
c
Let s = 18 - 16. Let k = -500/3 - -168. What is the closest to s in 0, 5, k?
k
Let n(x) = x**3 - 4*x**2 - 4*x - 4. Let d be n(5). Let r be (4/(-120) + 0)/((-3)/(-12)). Which is the nearest to -1? (a) -5 (b) r (c) d
b
Let j be (-34)/(-48) + (-2)/6. Let q be (-12)/(-30)*2/12*3. Which is the closest to 1? (a) q (b) 0.4 (c) j
b
Let n = -181/3 - -61. Let r = -0.03 + -2.97. Which is the nearest to 0? (a) r (b) n (c) 0
c
Let j = -0.2 + 0. Let w = -0.2 - -0.6. Let r be (-16)/40*(-3)/6. What is the closest to r in w, j, -1?
w
Let c = -11.8 + 12. What is the nearest to c in 0.1, 4, -2/7?
0.1
Let y = 1.15 + -0.15. Which is the nearest to y? (a) -6 (b) 5/4 (c) -5/4
b
Let y be ((-33)/(-55))/((-1)/5). Let m be 3/(-2)*(-2)/(-8). What is the nearest to 0 in y, -5, m?
m
Let o = -7 + 5. Let x = 8 - 5. Suppose -2*s - x = 9. Which is the closest to -0.1? (a) -0.4 (b) s (c) o
a
Let z = 4.87 - -0.13. Which is the closest to -2/9? (a) 2/7 (b) z (c) 1
a
Let q be (14/(-10) + 1)*-5. Let w be 6/4*q/15. Which is the nearest to -1/2? (a) 2/3 (b) w (c) -0.3
c
Let p be 3/15*15/(-3)*-1. Which is the nearest to p? (a) -3/7 (b) 0.4 (c) 25
b
Suppose 3*s - 2*s + 4*y = 23, -3*y = 3*s - 24. Let m be (s - 4)*3/9. Let l(v) = -v + 9. Let j be l(6). Which is the nearest to 1/2? (a) m (b) 0.1 (c) j
b
Let u = -33 + 32. Let a = 2 + 2. What is the nearest to u in a, 3, 0.06?
0.06
Let v(o) = -o - 2. Let z be v(-3). What is the nearest to z in -1/2, -0.3, 1?
1
Let t = 1 - 0. Let y = -4 - -10. Let i be (-2)/y + 42/(-36). Which is the closest to -0.2? (a) t (b) i (c) -2/15
c
Let f be 0 + 0 + 5/40. Which is the nearest to -17? (a) -5 (b) f (c) 1
a
Let v be (14/8 + -1)/((-9)/36). Which is the nearest to -1? (a) 1/2 (b) v (c) 0
c
Let z = -6 - -8. Let s = 13 + -9. Suppose -5*p = 3*f + 1, -s*p + 3*f = -0*p + 17. What is the nearest to p in -6/5, 5, z?
-6/5
Let j = 22.5 + -22. What is the closest to j in -3, 0.4, -1?
0.4
Let r = 0.7 + -3.7. Let j = -3 - r. Which is the nearest to j? (a) -2/5 (b) 0.3 (c) 0.1
c
Suppose p - 4*a - 12 = -0*p, -6 = 5*p + 2*a. Let j = -79 + 551/7. What is the closest to j in p, 4, 1?
p
Let o(w) = -w**3 - 5*w**2 - 3*w + 4. Let h be o(-4). Let i be (20/135)/((-4)/(-6)). Which is the nearest to i? (a) 5 (b) 3 (c) h
c
Let z = -8.1 - -8. Which is the closest to z? (a) 0 (b) -0.1 (c) 1/3
b
Let i = -0.64 + 0.6. Let f = -5.04 - i. Which is the nearest to -1? (a) f (b) 2 (c) -3
c
Let r = -0.1 + 0.1. Let x = 18 + -15. What is the closest to r in -0.2, x, 4?
-0.2
Let x be 3 + (-7)/(21/8). Suppose -5*m - 36 = | {
"pile_set_name": "DM Mathematics"
} |
7 composite?
True
Is 66592139 prime?
True
Is 11386055 a composite number?
True
Is 3474335 prime?
False
Is 7695197 a prime number?
True
Is 1245261 a composite number?
True
Is 37969229 a composite number?
False
Is 404802103 prime?
False
Is 1373959 a composite number?
False
Is 131322667 a composite number?
True
Is 42811547 a composite number?
True
Is 28088729 composite?
False
Is 11865439 a prime number?
False
Is 226715261 composite?
False
Is 473602697 prime?
True
Is 63378941 a composite number?
True
Is 6704185 prime?
False
Is 3406703 a prime number?
True
Is 47150863 a composite number?
False
Is 44071 a prime number?
True
Is 665669 composite?
True
Is 276851 a prime number?
False
Is 161278291 a prime number?
False
Is 164113769 composite?
False
Is 132463691 a prime number?
True
Is 9242489 composite?
True
Is 27720983 a composite number?
False
Is 327790933 a prime number?
False
Is 6006941 prime?
True
Is 3685973 a composite number?
False
Is 916843 composite?
True
Is 413467801 a prime number?
False
Is 29441387 a prime number?
True
Is 3594194 prime?
False
Is 103151031 a prime number?
False
Is 5131313 a composite number?
True
Is 22410239 prime?
True
Is 1964891 a prime number?
False
Is 19211939 a prime number?
True
Is 273024779 a composite number?
True
Is 589349 a composite number?
False
Is 10212463 a prime number?
True
Is 39677699 a composite number?
False
Is 25759507 a composite number?
True
Is 28429273 a composite number?
False
Is 18474833 a composite number?
True
Is 59348047 a composite number?
True
Is 20622817 a prime number?
False
Is 1309751 a prime number?
False
Is 4192157 composite?
False
Is 60535711 composite?
True
Is 48992269 a composite number?
True
Is 554942953 composite?
False
Is 1407569 prime?
True
Is 81291713 a composite number?
False
Is 184942843 a prime number?
True
Is 29386061 composite?
False
Is 26227297 a composite number?
False
Is 8207327 prime?
True
Is 91313203 a prime number?
True
Is 16118359 prime?
True
Is 3847199 composite?
True
Is 8356567 a composite number?
True
Is 2290817 composite?
False
Is 186590869 prime?
False
Is 3094607 a composite number?
False
Is 126563494 composite?
True
Is 912945887 a prime number?
False
Is 612923 a composite number?
False
Is 28727459 a prime number?
True
Is 37729039 a prime number?
False
Is 3292307 prime?
False
Is 19774739 a composite number?
False
Is 47668541 composite?
True
Is 7176317 a composite number?
False
Is 1259413 prime?
True
Is 968417831 a prime number?
False
Is 4997887 composite?
False
Is 36178279 prime?
False
Is 14485351 a prime number?
True
Is 4100879 a prime number?
True
Is 54837877 a composite number?
True
Is 359215 prime?
False
Is 533879 prime?
True
Is 108203897 a prime number?
True
Is 19945 composite?
True
Is 38769865 a prime number?
False
Is 6737231 a prime number?
True
Is 249191963 composite?
False
Is 43548311 a composite number?
True
Is 1502960335 composite?
True
Is 16318279 composite?
True
Is 352539685 composite?
True
Is 13709695 a composite number?
True
Is 1164029 prime?
True
Is 984373 composite?
True
Is 236000419 a prime number?
True
Is 153735347 a composite number?
False
Is 58641173 prime?
False
Is 23642453 a prime number?
False
Is 4511971 composite?
False
Is 2535985 composite?
True
Is 5297233 a prime number?
True
Is 227657 a prime number?
False
Is 52875401 a prime number?
True
Is 381679 composite?
True
Is 13381217 composite?
False
Is 48972117 a prime number?
False
Is 145811189 prime?
True
Is 13375693 a prime number?
True
Is 5702 composite?
True
Is 390787 composite?
True
Is 8685307 composite?
True
Is 27110261 prime?
False
Is 96520841 a composite number?
False
Is 283524667 a composite number?
True
Is 42196499 prime?
False
Is 3664409 composite?
True
Is 390046 prime?
False
Is 221927683 prime?
True
Is 6788641 prime?
False
Is 7269181 prime?
True
Is 1618183 composite?
True
Is 28167661 prime?
True
Is 653507381 a prime number?
False
Is 1228979 prime?
False
Is 2053357 prime?
True
Is 3788747 prime?
True
Is 855697 prime?
True
Is 10242679 a prime number?
False
Is 4832347 prime?
False
Is 208567 a composite number?
True
Is 58741121 a composite number?
False
Is 14433359 a composite number?
False
Is 1523777 composite?
True
Is 60889 a composite number?
False
Is 8105947 prime?
False
Is 73653379 a prime number?
True
Is 2657063 composite?
True
Is 402332815 prime?
False
Is 357366143 prime?
True
Is 831605029 a composite number?
False
Is 1900397 composite?
False
Is 2068487 prime?
True
Is 915881 prime?
True
Is 1414883 a composite number?
True
Is 12504391 a composite number?
False
Is 223985173 a composite number?
True
Is 499805 prime?
False
Is 1156151 a prime number?
True
Is 13972403 a composite number?
True
Is 2170949 a composite number?
True
Is 85979 a composite number?
True
Is 278027 prime?
False
Is 800866765 a prime number?
False
Is 428563 a prime number?
True
Is 4998731 a prime number?
False
Is 34692989 composite?
False
Is 49588057 a prime number?
False
Is 1302689 prime?
True
Is 98325287 composite?
False
Is 7097341 composite?
False
Is 67333529 a composite number?
False
Is 358217 composite?
True
Is 8380469 a prime number?
True
Is 2242517 prime?
True
Is 1623 composite?
True
Is 40292423 a composite number?
True
Is 2298691 prime?
True
Is 3225181 a composite number?
False
Is 17405737 composite?
True
Is 30988201 prime?
False
Is 6896371 composite?
False
Is 40937149 prime?
False
Is 15347413 a composite number?
True
Is 1660987 prime?
False
Is 231011 a prime number?
False
Is 184462523 a prime number?
False
Is 13270357 composite?
True
Is 34562039 prime?
True
Is 903373 a composite number?
True
Is 1102013 composite?
True
Is 2832329 a prime number?
True
Is 4397089 composite?
True
Is 241219 a composite number?
True
Is 78229 prime?
True
Is 62761 composite?
False
Is 3752351 a prime number?
True
Is 102020867 prime?
False
Is 56807821 a composite number?
True
Is 2198779 composite?
True
Is 26855863 a composite number?
False
Is 155828227 a composite number?
True
Is 27438757 prime?
True
Is 24995161 a composite number?
False
Is 27116729 a composite number?
False
Is 1103827103 a prime number?
True
Is 29792089 a composite number?
True
Is 145230454 a prime number?
False
Is 724187 a composite number?
False
Is 12170167 a composite number?
False
Is 137694787 composite?
False
Is 4394129 composite?
True
Is 881471 a prime number?
True
Is 494453819 a composite number?
False
Is 26233043 a prime number?
True
Is 877739 a composite number?
False
Is 36883163 a composite number?
True
Is 47427767 a composite number?
False
Is 112459 a prime number?
True
Is 15033649 a prime number?
True
Is 24590933 a prime number?
False
Is 10464511 composite?
True
Is 246391 composite?
False
Is 62107271 prime?
False
Is 124224091 composite?
False
Is 11100913 a composite number?
False
Is 47161 prime?
True
Is 2467631 composite?
True
Is 4192667 prime?
True
Is 27165482 a prime number?
False
Is 6181793 composite?
True
Is 170669 composite?
False
Is 6169591 composite?
False
Is 3510337 composite?
True
Is 14277565 prime?
False
Is 54709 a composite number?
False
Is 1481723 prime?
False
Is 2592055 prime?
False
Is 781853 composite?
False
Is 34351523 prime?
True
Is 8866139 composite?
False
Is 4051261 prime?
True
Is 64835465 a composite number?
True
Is 58355201 a composite number?
False
Is 97206281 a prime number?
False
Is 241354741 composite?
True
Is 26271277 a composite number?
True
Is 81413317 a composite number?
True
Is 4717697 a composite number?
True
Is 2967209 a composite number?
True
Is 73218947 a composite number?
False
Is 603673 composite?
True
Is 15545513 a prime number?
False
Is 27435557 composite?
False
Is 57054667 a prime number?
False
Is 5978449 a prime number?
True
Is 8867843 prime?
True
Is 21751747 a prime number?
False
Is 7879853 composite?
True
Is 4961413 composite?
True
Is 8749787 a composite number?
False
Is 210236129 a composite number?
False
Is 1358791193 prime?
True
Is 4342657 a prime number?
False
Is 102471823 prime?
True
Is 4247405 composite?
True
Is 87342703 composite?
True
Is 69163043 prime?
True
Is 3901589 a prime number?
True
Is 30755533 prime?
False
Is 14304571 a composite number?
False
Is 67438927 prime?
False
Is 127253681 prime?
False
Is 21152171 a composite number?
True
Is 32826107 composite?
True
Is 27099847 prime?
False
Is 1376719 a | {
"pile_set_name": "DM Mathematics"
} |
r**3
Collect the terms in -152 + 14265*v - 399 - 14262*v + 34.
3*v - 517
Collect the terms in 6166561 - 7*w - 3083268 - 3083293.
-7*w
Collect the terms in -109*x - 221*x - 8 + 696*x + 559*x.
925*x - 8
Collect the terms in -3*i + 3*i + 6811313*i**2 - 13622594*i**2 + 6811283*i**2.
2*i**2
Collect the terms in 1 + 2397*k + 2864*k + 599*k + 1195*k.
7055*k + 1
Collect the terms in 545489*m**2 + 4*m - 4*m - 33.
545489*m**2 - 33
Collect the terms in 0 - k**3 - 9*k - 111518*k**2 - 1 + 111518*k**2 - 57*k**3.
-58*k**3 - 9*k - 1
Collect the terms in -2850*p - 2840*p + 11374*p - 1221 - 2841*p - 2841*p.
2*p - 1221
Collect the terms in 22088621*h - 4*h**3 + 3046687*h + 5*h**3.
h**3 + 25135308*h
Collect the terms in -3 + 3 + 13576*i - 4891*i.
8685*i
Collect the terms in 12*p**3 - 9*p**3 + 9*p**3 - 1253232 + 2*p**3 + 1253233.
14*p**3 + 1
Collect the terms in 7460*z - 1669*z - 2068*z - 2262*z.
1461*z
Collect the terms in -5733 - 40*s + 41*s + 2792 + 2941.
s
Collect the terms in 6 + 439*p**3 + 721*p**3 + 2633*p**3 - 6.
3793*p**3
Collect the terms in 26*v + 37*v + 276*v + 31*v + 20*v - 415*v + 24*v.
-v
Collect the terms in -291235*u - 5*u**3 + 582443*u - 291222*u + 3.
-5*u**3 - 14*u + 3
Collect the terms in 1747*m**2 + 205*m + 494*m**2 - 781*m**2 + 811*m**2 - 205*m.
2271*m**2
Collect the terms in 419971*v**3 + 419744*v**3 + 419745*v**3 - 1259458*v**3.
2*v**3
Collect the terms in -477*p**2 + 8212 + 244*p**2 + 238*p**2.
5*p**2 + 8212
Collect the terms in 3*i - 49811696 - i + 99623393 - 49811697.
2*i
Collect the terms in 2*i - 32890*i**2 - 21045*i**2 + 69*i.
-53935*i**2 + 71*i
Collect the terms in 3*g + 2682 + 2680 - 10622 + 2676 + 2584.
3*g
Collect the terms in -4 + 705*y - 1490*y + 788*y + 2.
3*y - 2
Collect the terms in -5 + 5 - 6*o**2 - 120*o**2 + 64*o**2 - 4*o**2 + 65*o**2.
-o**2
Collect the terms in -1326 - 49*y - 1322 + 5264 - 1287 - 1327.
-49*y + 2
Collect the terms in -228686 + 228686 - 167*s**2.
-167*s**2
Collect the terms in 1843 - l + 5421 + 1229 + 1781.
-l + 10274
Collect the terms in 21866902*v**3 + 21866601*v**3 - 43733504*v**3.
-v**3
Collect the terms in 4503*h + 9282*h + 15597*h + 2*h**2 - 4917*h - 4.
2*h**2 + 24465*h - 4
Collect the terms in 6 - 9 + 11505*q - 11274*q.
231*q - 3
Collect the terms in 198707*x**2 - 198707*x**2 + 62*x**3.
62*x**3
Collect the terms in 16*u**2 + 42 + 18 + 14*u**2 + 90 - 4*u**2.
26*u**2 + 150
Collect the terms in 55*w**2 - 86*w**2 + 49*w + 0 - 5 - 34*w - 15*w.
-31*w**2 - 5
Collect the terms in 2178388338 - 2178388338 + 8*j - 8*j + 10*j**2.
10*j**2
Collect the terms in -2994*a**2 + 1767273279 - 1767273279.
-2994*a**2
Collect the terms in h**3 - 7*h**3 - 56343585*h**2 + 112687182*h**2 - 56343597*h**2 - 3*h**3.
-9*h**3
Collect the terms in -49*u**2 + 317 - 88 - 89 - 92 + 42 - 90.
-49*u**2
Collect the terms in -2433*r + 552*r + 470*r + 1410*r.
-r
Collect the terms in -41249 - 41251 - 41258 - 4*m**2 + 123758 - 3*m**2.
-7*m**2
Collect the terms in -38575 - 175*x**3 + 87*x**3 - 38548 + 87*x**3 + 77123.
-x**3
Collect the terms in 6 + 29*d + 2*d**3 + 11*d**3 + 0*d**3 - 48*d**2.
13*d**3 - 48*d**2 + 29*d + 6
Collect the terms in -55*x - 71*x - 80*x - 130*x + 3.
-336*x + 3
Collect the terms in 478412 - 14508*x**2 - 478412 + 5136*x**2.
-9372*x**2
Collect the terms in -186 - 196 - 551*n**2 + 382.
-551*n**2
Collect the terms in -859581*z - 14849 + 14849.
-859581*z
Collect the terms in 1 + 6871*u - 1 - 3585*u - 3281*u.
5*u
Collect the terms in 11 + 5*q**2 - 216*q + 1 + 2 - 23*q**2.
-18*q**2 - 216*q + 14
Collect the terms in 9152*n**3 + 9274*n**3 - 18461*n**3.
-35*n**3
Collect the terms in -308602*c - 365457*c - 20048*c.
-694107*c
Collect the terms in 17530*t + 7970*t + 0 + 959*t + 0.
26459*t
Collect the terms in 2*q**2 - 5*q**2 - 24*q**3 + 2*q**2 - 4*q**3 - 60.
-28*q**3 - q**2 - 60
Collect the terms in 237*f + 32*f - 662 + 594.
269*f - 68
Collect the terms in -5452 - 5408 + 21686 - 5415 - 5411 - 2*i**3.
-2*i**3
Collect the terms in 13924*r**2 + 8659*r**2 + 7350*r**2 + 2568*r**2.
32501*r**2
Collect the terms in -2917145196*o**2 + 2917145196*o**2 - 32*o**3.
-32*o**3
Collect the terms in 364*m**2 - 364*m**2 + 1329*m**3 - 2 - 4270*m**3.
-2941*m**3 - 2
Collect the terms in 2941*t - 1 + 3032*t + 4687*t + 1.
10660*t
Collect the terms in -6 + 18 - 7*m + 34*m - 21*m - 5*m - 12.
m
Collect the terms in 41*b + 60*b - 111*b + 22*b - 13*b.
-b
Collect the terms in 5*o**3 - 97836 - 3*o**3 - 97840 + 195676 + 4*o**3.
6*o**3
Collect the terms in -24917 + 3*h**2 - 6127 - 4886 - h.
3*h**2 - h - 35930
Collect the terms in -145*y + 87*y - 37*y + 54*y + 79*y.
38*y
Collect the terms in -61*o + 330 + 55*o - 253*o.
-259*o + 330
Collect the terms in 123*b**3 + 311830 - 252*b**3 + 115*b**3 - 155921 - 155909.
-14*b**3
Collect the terms in -5783342 + 2891686 + 9*d + 2891651.
9*d - 5
Collect the terms in 6687599*v**3 - 2229200*v**3 - 2229187*v**3 - 2229185*v**3.
27*v**3
Collect the terms in 13492 - 2*u**2 - 3*u**2 + 4*u**2 - 2*u**2 + 13510 - 26987.
-3*u**2 + 15
Collect the terms in 4537 + 4531 - 5*m + 4532 - 22750 + 4614 + 4536.
-5*m
Collect the terms in -21*a**2 - 21*a**2 - 20 + 16 + 69*a**2 - 26*a**2.
a**2 - 4
Collect the terms in -2*v**3 + 23068*v + 21877*v**2 - 23068*v.
-2*v**3 + 21877*v**2
Collect the terms in -17723*p + 113921*p - 2238*p + 26808*p + 57730*p.
178498*p
Collect the terms in 1001*r + 1001*r + 1005*r - 3982*r + 980*r.
5*r
Collect the terms in 2147*o**3 + 251 - 253 - 2371*o**3.
-224*o**3 - 2
Collect the terms in -3*z + 16*z**2 - 6 - 23*z**2 + 9*z**2 + 2*z**2.
4*z**2 - 3*z - 6
Collect the terms in 2 - 563*z - 1 + 586*z - 2 - 4 + 2.
23*z - 3
Collect the terms in 554 - 281 - 273 - 257*f.
-257*f
Collect the terms in 3285*s + 4 + 15041*s + 34066*s.
52392*s + 4
Collect the terms in -1865*d - 19 + 2 + 17 + 1931*d.
66*d
Collect the terms in -30009 - 30023 + 90040 - 30008 + 204*g**2.
204*g**2
Collect the terms in -11417*i**2 - 4 - 1422*i**2 - i - 9317*i**2 + 1729*i**2.
-20427*i**2 - i - 4
Collect the terms in -33*t + 291 + 33*t - 291 - 4268*t**2.
-4268*t**2
Collect the terms in -4050*q + 1631*q + 5905*q + 11059*q.
14545*q
Collect the terms in -3660*g - 3651*g - 3650*g + 18286*g - 3663*g - 3642*g.
20*g
Collect the terms in -8015856*h - 8014618*h + 16030474*h - 21*h**2.
-21*h**2
Collect the terms in 12*z**2 - 1225101*z**3 - 12*z**2 + 3*z.
-1225101*z**3 + 3*z
Collect the terms in -1597*f**2 - 4*f**3 + 3179*f**2 - 1582*f**2.
-4*f**3
Collect the terms in 2340 + 2337 + 1453*i**3 - 7015 - 1459*i**3 + 2338.
-6*i**3
Collect the terms in 2300458101 - 2300458101 - 13*o.
-13*o
Collect the terms in 49*t**3 - 61*t**3 - 28 - 30*t**3 + 29.
-42*t**3 + 1
Collect the terms in 135185*c**3 + 135998*c**3 - 271168*c**3.
15*c**3
Collect the terms in 1349*c - 5 - 1333*c - 78.
16*c - 83
Collect the terms in 40876*h**2 - 20681*h**2 + 31425*h**2 + 10610*h**2.
62230*h**2
Collect the terms in 60 + 44 - 17*d + 58 - 224 + 62.
-17*d
Collect the terms in 509*v**2 + 132 - 32 - 33 - 29 - 40.
509*v**2 - 2
Collect the terms in -141678*i**3 - 141665*i**3 - 141737*i**3 + 425062*i**3.
-18*i**3
Collect the terms in -33*k + 11*k - 1 - 70*k - 14*k.
-106*k - 1
Collect the terms in -93826*f**3 + 2 - 290257*f**3 - 2 + 44718*f**3.
-339365*f**3
Collect the terms in 17 + 1 - 3 - 15 - 11281*j**2.
-11281*j**2
Collect the terms in -26 + 327846*j - 47697*j + 17.
280149*j - 9
Collect the terms in -380*d - 850*d - 439*d - 714*d.
-2383*d
Collect the terms in -191*y + 536*y + 311*y + 920*y.
1576*y
Collect the terms in -188 - 171 - 172 + 61*x + 711 - 178.
61*x + 2
Collect the terms in -632*h**2 - 637*h**2 - 633*h**2 - 625*h**2 - 632*h**2 - 634*h**2 + 3795*h**2.
2*h**2
Collect the terms in -3 - 49*y**2 + 0*y - 25*y**2 - 167*y**3 - 47*y**2 - 8*y.
-167*y**3 - 121*y**2 - 8*y - 3
Collect the terms in 63771*i**3 - 230 - 63769*i**3 + 0*i**2 + 714 + 0*i**2.
2*i**3 + 484
Collect the terms in 2234 - 6700 + 2234 + 4869*x + 2232 - 389*x.
4480*x
Collect the terms in 840805*y**2 + 400615*y**2 - 222199*y**2 + 2700358*y**2.
3719579*y**2
Collect the terms in 7981913*g**2 - 7981933*g**2 + 15 - 2*g - 53.
-20*g**2 - 2*g - 38
Collect the terms in 5*q + 49816 - 49816 - 5*q + 0*q**2 - 2*q**2.
-2*q**2
Collect the terms in -2582 + 3*n**2 + 2582 - 2*n**2 + 132*n.
n**2 + 132*n
Collect the terms in -2 + 49*y**2 + 175*y**3 - 109*y**3 - 67*y** | {
"pile_set_name": "DM Mathematics"
} |
.1
Sort 1, -858, -0.3, 1/2, -4 in decreasing order.
1, 1/2, -0.3, -4, -858
Put 2/7, 3, -9/2, 5, 4/7 in increasing order.
-9/2, 2/7, 4/7, 3, 5
Sort -40, 540, -1, 0 in increasing order.
-40, -1, 0, 540
Sort 0.67, 1/2, -1/7, -1/5, 47, 0.
-1/5, -1/7, 0, 1/2, 0.67, 47
Put 0, -14, 3, 8, 2 in descending order.
8, 3, 2, 0, -14
Put 0.04492, -3, 1.9, 3/4 in decreasing order.
1.9, 3/4, 0.04492, -3
Sort 6864, 2, 1/9, 3.
1/9, 2, 3, 6864
Sort -0.3, 2/2657, 2/7 in increasing order.
-0.3, 2/2657, 2/7
Sort -4, 3, 5, 1, -8, 0.
-8, -4, 0, 1, 3, 5
Put -10, 163, 46, -5 in descending order.
163, 46, -5, -10
Sort 8/21, 2.39, -2/19, 0.5.
-2/19, 8/21, 0.5, 2.39
Put -67, 1, -164, -3 in increasing order.
-164, -67, -3, 1
Sort 9, -195, -4 in increasing order.
-195, -4, 9
Sort 0.3, 21, -4524, -0.4, -3 in increasing order.
-4524, -3, -0.4, 0.3, 21
Sort -4, 99523, 1.
-4, 1, 99523
Sort -3, -1, -124034 in ascending order.
-124034, -3, -1
Put 129, -5, 76, 4 in decreasing order.
129, 76, 4, -5
Put -2/11, -4, -3/2, -1, -0.43, -2 in descending order.
-2/11, -0.43, -1, -3/2, -2, -4
Sort -13, 0.07, 2/9, 1/4, 3/7.
-13, 0.07, 2/9, 1/4, 3/7
Sort -2, 0.5, 4076, -1, -0.08 in increasing order.
-2, -1, -0.08, 0.5, 4076
Put 2/9, -2, 1/2, 3955 in ascending order.
-2, 2/9, 1/2, 3955
Sort -6, -33, 2, -10, -2, 37 in descending order.
37, 2, -2, -6, -10, -33
Sort -12, 0.5, 482 in increasing order.
-12, 0.5, 482
Put -0.83, -190, 4, -0.5 in descending order.
4, -0.5, -0.83, -190
Put 10, 9, -1, 1, 45 in ascending order.
-1, 1, 9, 10, 45
Sort 0.09, 61/42, 5 in descending order.
5, 61/42, 0.09
Put -1, -9, -3, -635, -4, -11 in decreasing order.
-1, -3, -4, -9, -11, -635
Sort 13, -2, -1, -10, 4 in descending order.
13, 4, -1, -2, -10
Put -10, -1, 2, 3, -580, -4 in descending order.
3, 2, -1, -4, -10, -580
Sort 6/13, 2/17, 1823 in ascending order.
2/17, 6/13, 1823
Sort -2, -79, 4, 54, -5, 11 in increasing order.
-79, -5, -2, 4, 11, 54
Sort -64, 5, 1, 0 in increasing order.
-64, 0, 1, 5
Put -61741, 2, -0.5, 3, -3, 5 in descending order.
5, 3, 2, -0.5, -3, -61741
Put -5, 10, 5, 36, -27, -3 in increasing order.
-27, -5, -3, 5, 10, 36
Put 2, -40, 3, -1, -31 in descending order.
3, 2, -1, -31, -40
Sort -4/19, -3, 0.55 in ascending order.
-3, -4/19, 0.55
Sort -345, 4, -1 in decreasing order.
4, -1, -345
Sort 5, 7/12, 181 in increasing order.
7/12, 5, 181
Put 0, -976, -2, -8, 2 in ascending order.
-976, -8, -2, 0, 2
Put -1/100, 0.0714, -3 in descending order.
0.0714, -1/100, -3
Sort -1/6, -2/11, -1/73, 34.
-2/11, -1/6, -1/73, 34
Sort -2, -5, 1164, 4, -65 in decreasing order.
1164, 4, -2, -5, -65
Sort -2/7, -3/4, 57, 9, 2/9.
-3/4, -2/7, 2/9, 9, 57
Sort -1, 48, 4 in ascending order.
-1, 4, 48
Put 7, -1, 899/4, 1, 4 in decreasing order.
899/4, 7, 4, 1, -1
Sort 0.4, -0.1, -6, -5, -2/13, -24 in ascending order.
-24, -6, -5, -2/13, -0.1, 0.4
Put -3, -1, 191, 2, 5 in descending order.
191, 5, 2, -1, -3
Sort 5, -5, 3, -1167.
-1167, -5, 3, 5
Put 0, 6, 2661, 3, -2 in descending order.
2661, 6, 3, 0, -2
Put -1.1, -0.5, 2/7, 5, 6 in decreasing order.
6, 5, 2/7, -0.5, -1.1
Sort -6, 1, 0, 883, 4, -3.
-6, -3, 0, 1, 4, 883
Put -5, 25, -4, 5, -13 in descending order.
25, 5, -4, -5, -13
Put 0, -3015, -5, -50 in decreasing order.
0, -5, -50, -3015
Sort -2/3, -1, -2/13, 2.
-1, -2/3, -2/13, 2
Sort 2/11, 5, 2, 3, 122 in ascending order.
2/11, 2, 3, 5, 122
Put -11930.3, -4/7, 4/3, -0.3 in descending order.
4/3, -0.3, -4/7, -11930.3
Sort 1/20, 6, -2/3, 1/2, 9 in descending order.
9, 6, 1/2, 1/20, -2/3
Sort 3, 5, 2, -3, -20, 556 in increasing order.
-20, -3, 2, 3, 5, 556
Sort -10, -3/10, -154, -4, 1 in increasing order.
-154, -10, -4, -3/10, 1
Sort -179, 3/7, 12.1 in descending order.
12.1, 3/7, -179
Sort 182, 317, 1 in ascending order.
1, 182, 317
Sort -6, 13, -20, 0, 5.
-20, -6, 0, 5, 13
Put -4/9, -0.7, -2/63, 1, 0.4 in ascending order.
-0.7, -4/9, -2/63, 0.4, 1
Put -1/21, 1/3, 12.69, 0.5 in decreasing order.
12.69, 0.5, 1/3, -1/21
Sort 9, 0, -515 in descending order.
9, 0, -515
Sort -1/3, 516758, 1/5, -4, -1/5 in decreasing order.
516758, 1/5, -1/5, -1/3, -4
Sort -901, -7, -0.4, -0.3, -9.
-901, -9, -7, -0.4, -0.3
Put 33950, -3, 0.07 in descending order.
33950, 0.07, -3
Sort -1, -4, 2, 3, 1017 in ascending order.
-4, -1, 2, 3, 1017
Sort 7720, -1/6, 1, 0.3, -0.4 in increasing order.
-0.4, -1/6, 0.3, 1, 7720
Sort 3, 55, 37, -50, -1, -2.
-50, -2, -1, 3, 37, 55
Sort 31.6, 2/17, 0, 3 in increasing order.
0, 2/17, 3, 31.6
Sort -3, -0.1, -5.57, -2/11, -0.04 in increasing order.
-5.57, -3, -2/11, -0.1, -0.04
Sort 3, 5/2, 4, 3/16, 5, 1/49.
1/49, 3/16, 5/2, 3, 4, 5
Sort -0.2, 1, 2/5, 9/7, 16, -1/7 in descending order.
16, 9/7, 1, 2/5, -1/7, -0.2
Put -125798, -1, -4 in decreasing order.
-1, -4, -125798
Put -1/4, -2/7, -1/3, -1/8, -1692 in descending order.
-1/8, -1/4, -2/7, -1/3, -1692
Put -6, -2, 6, 85 in increasing order.
-6, -2, 6, 85
Sort 1194, 5, -13, 2 in ascending order.
-13, 2, 5, 1194
Put -1144, -116, -2 in increasing order.
-1144, -116, -2
Put -2, 347, -7 in descending order.
347, -2, -7
Sort -2, -304, 4, -4 in ascending order.
-304, -4, -2, 4
Sort -2/3, 0.3, 2, 6/23, 0.1, 5/83 in ascending order.
-2/3, 5/83, 0.1, 6/23, 0.3, 2
Put -3228, -5, 1 in decreasing order.
1, -5, -3228
Put -2, 0.1, -1, -4/2407 in increasing order.
-2, -1, -4/2407, 0.1
Sort 1/5, 130, -8, 0, -5 in descending order.
130, 1/5, 0, -5, -8
Sort 4.21, -5, -2, 0.4 in ascending order.
-5, -2, 0.4, 4.21
Sort -1624, 1, 4, 0.
-1624, 0, 1, 4
Sort 2, -489293, 3 in decreasing order.
3, 2, -489293
Put 162, -27, -5 in decreasing order.
162, -5, -27
Put -1/2, 2/7, 4, -0.3, -2/7, 0.01 in decreasing order.
4, 2/7, 0.01, -2/7, -0.3, -1/2
Sort 10/103, -2.2, -2/7.
-2.2, -2/7, 10/103
Sort -6, 3, -2, 0.164, 1/2 in increasing order.
-6, -2, 0.164, 1/2, 3
Put -239, -1, 0.4, -2, 7 in descending order.
7, 0.4, -1, -2, -239
Sort -124, 0, 801 in decreasing order.
801, 0, -124
Sort -5, 3, -2, -9570.
-9570, -5, -2, 3
Sort -16259, 1, -5 in ascending order.
-16259, -5, 1
Put 126, 0.5, -2/21, 0.3, 6, 0.2 in decreasing order.
126, 6, 0.5, 0.3, 0.2, -2/21
Put -27, 23, 23/3 in increasing order.
-27, 23/3, 23
Sort 2/9, -3, -20, 97/4 in descending order.
97/4, 2/9, -3, -20
Sort 5, 8277, 16, -2, 4, -13 in descending order.
8277, 16, 5, 4, -2, -13
Put -3, 70865, -1 in decreasing order.
70865, -1, -3
Sort -3, 0.21, -1117.
-1117, -3, 0.21
Sort -5, -3, -4, 59, 4 in descending order.
59, 4, -3, -4, -5
Put 2, -3, 16414, 0.2 in decreasing order.
16414, 2, 0.2, -3
Put 2, 27, 0, -10 in decreasing order.
27, 2, 0, -10
Put -7, -259, 5, -10 in decreasing order.
5, -7, -10, -259
Put -0.4, -0.2, 4101, 2/7, 0.1 in descending order.
4101, 2/7, 0.1, -0.2, -0.4
Put -4, 3, -156790 in descending order.
3, -4, -156790
Put 363, 1, -3, -4, 1/5 in descending order.
363, 1, 1/5, -3, -4
Put 2, -3, -49, 3, -6, 1 in increasing order.
-49, -6, -3, 1, 2, 3
Put 4, -13.668, 3, -0.2, 0.3 in decreasing order.
4, 3, 0.3, -0.2, -13.668
Sort 3, -11/5, 10, -0.5, 0.5 in increasing order.
-11/5, -0.5, 0.5, 3, 10
Sort -1, 0, 7, 720 in increasing order.
-1, 0, 7, 720
Sort 136, -3196, -3.
-3196, -3, 136
Put 107, -5, 4, -189 in descending order.
107, 4, -5, -189
Put -3, -5, -1, 7, -4, 1 in decreasing order.
7, 1, -1, -3, -4, -5
Sort -7, 21, 70.
-7, 21, 70
Sort -1/3, -55, 2, -3, -8, -4/7 in descending order.
2, -1/3, -4/7, -3, -8, -55
Sort -0.3, -4.7, -0.5, -3/4, -3 in decreasing order.
-0.3, -0.5, -3/4, -3, -4.7
Put -8, -6/145, 4.2, -1/4 in descending order.
4.2, -6/145, -1/4, -8
Put 2, 4, -41, 3, 61 in decreasing order.
61, 4, 3, 2, -41
Sort -1, -6, 0, 1, 10 in descending order.
10, 1, 0, -1, -6
Sort -2135, 0, -4 in decreasing order.
0, -4, -2135
Put 14, 1, 0, 10, -58 in decreasing order.
14, 10, 1, 0, -58
Sort -2, 15, 89, 0, 3 in ascending order.
-2, 0, 3, 15, 89
Sort 94, 43, 1.
1, 43, 94
Sort 2/9, -3, -1, -11.43 in decreasing order.
2/9, -1, -3, -11.43
Sort -1/5, 1480, 10, -5 in decreasing order.
1480, 10, -1/5, -5
Sort 21, -59, -26, 0 in decreasing order.
21, 0, -26, -59
Put 23, -5, -2, -10, -27 in descending order.
23, -2, -5, -10, -27
Put 1, -379, -6 in descending order.
1, -6, -379
Put -0.1, -57, -14/3, -7/45 in descending order.
-0.1, -7/45, -14/3, -57
Put 245, -5, 1, 19 in decreasing order.
245, 19, 1, -5
Put -40, -41, -6, 4, -1 | {
"pile_set_name": "DM Mathematics"
} |
c) 8
a
Let y = -18904.2 - -18904. Which is the nearest to y? (a) -0.19 (b) -2/9 (c) -2 (d) -0.5
a
Let z = 3077 - 3077.4. Which is the closest to -2/5? (a) z (b) 3 (c) -0.2 (d) -1
a
Suppose 2 + 10 = -3*o. Let w = -0.389 - -208.389. Let c = -208.3 + w. What is the closest to -0.1 in c, 1/3, o?
c
Let s = 146.2 - 146.4. Let f = -12 - -6. Let u be 18/8*4/f. Which is the closest to 2? (a) u (b) s (c) 0.04
c
Let v = -1998.2 - -1998.4. Let b(z) = z**2 + 5*z + 1. Let l be b(-5). What is the nearest to l in v, -0.3, 0.14?
v
Let h = 0.52 + -0.62. Let s = -6.14 + 1.98. Let u = s + 0.16. What is the nearest to 0.1 in 2.2, h, u?
h
Let v = -307.74 + 307.6. What is the nearest to 0.5 in 2, 3, v?
v
Let w = 0.0556 + 571.9444. Let h = -572.4 + w. Let q be 3*-1 + (-78)/(-24). What is the nearest to 1 in -5, q, h?
q
Let u = -6.56 - -130.96. Let d = u + -125. What is the closest to d in -3/7, -2/7, -3?
-3/7
Let f = 5.091 + -5.2. Let r = -0.009 - f. What is the closest to r in 1.1, 1, 0.5?
0.5
Let s = -0.12507 - -0.02507. Which is the closest to s? (a) 3/4 (b) 5.6 (c) 0.1 (d) 0
d
Let v(s) = 57*s - 284. Let q be v(5). Which is the nearest to 3? (a) -6 (b) q (c) -2 (d) -4
b
Let f be 2*3/15 - 4/10. Let g be (-54)/(-12)*((-14)/35 - (-56)/90). Which is the nearest to f? (a) 12 (b) g (c) -5
b
Let h = -107.76 + 113. Let b = 0.06 + h. Let k = b + -3.3. What is the closest to k in -3, 0.3, -1?
0.3
Let v = 0.4658 - 0.4658. What is the closest to 0.1 in -6, v, -2/3, 0.055?
0.055
Let y = -269 + 770. Let i = 499.8 - y. Which is the closest to 2/5? (a) -4/7 (b) 0.3 (c) i
b
Let w = 14083 - 13945. What is the nearest to -2/3 in -3, w, -2?
-2
Let i = 7.6 - 71. Let s = -63 - i. What is the closest to 1 in s, -4.3, -1/4?
s
Suppose 0 = 5*n - 0*n + 4*v + 82, 0 = -3*n - v - 45. Let r = 1751/318 + -283/53. What is the nearest to r in n, 5, -4?
-4
Let u = 5865.5 - 5866. Let j be (-6)/4*8/(-30). Let q = -30.5 + 31. Which is the nearest to j? (a) u (b) 0 (c) q
c
Let k = -0.1 - 0.9. Let o = -13247.9 + 13248. Which is the closest to -3? (a) -0.4 (b) k (c) -2 (d) o
c
Let p be 6 + 72/12*1/(-2). Let q be ((-8)/(-24))/(8/p - 2). Let o = -0.12 + 0.02. What is the closest to o in 1, 0.2, q?
0.2
Let v = -157.4 + 158.4. What is the nearest to 1 in -1/2, -277, v?
v
Let c = -7 - -5. Suppose 67*q + 140*q + 428*q = 3175. What is the closest to -0.1 in q, c, -0.63?
-0.63
Let y(o) = o**3 + o**2 - 4*o + 1. Let k be y(-3). Suppose 94*c = -188*c - 1128. What is the closest to -1/5 in 4, k, c?
c
Let w = -0.725 + 1.83. Let n = w + -0.105. Which is the closest to n? (a) 0.4 (b) 4 (c) -4
a
Let h(n) = 2*n + 9. Let o be h(0). Let t be (-2)/o*9/(-12). Let i be ((-10)/(-5))/(3/3*9). What is the closest to -6 in i, t, 2?
t
Let z be 6/(-13)*1/3. Let a = 353 + -116. Let w = a + -223. What is the closest to w in 2/3, 1/4, z?
2/3
Let x = -253/20 + 191/12. Let j = x + -17/5. Which is the nearest to -6/7? (a) 0.06 (b) -0.5 (c) j
b
Let a = 637.4 + -636.4. What is the closest to a in 0.17, -0.24, -0.3?
0.17
Let m = -9.081 - -9.161. What is the nearest to 0.3 in -0.3, 5, m?
m
Let a(w) = 4*w**2 + 21*w + 8. Suppose 0*t + t = -5*c - 10, -t = -5*c. Let p be a(t). What is the nearest to -16 in p, -2/13, -2/11, -1?
-1
Let t = -325 - -5523/17. Let w be (-13 + 10 - 15)/((-4)/8 + -4). Which is the nearest to -2? (a) -6 (b) t (c) w
b
Let o = -12087 - -12128. What is the closest to o in -4/7, -1/6, 3, 7?
7
Let a = -0.33 + 0.03. Let y = 2.54 + 0.46. Let q = -286.9 + 286.5. What is the closest to a in y, q, -4?
q
Let x(i) = -i**3 - 7*i**2 + 8. Let g be x(-7). Suppose 5*j = -25, -3*y - 6*j + 5*j - 20 = 0. Which is the closest to 1/5? (a) y (b) 0.1 (c) g
b
Let m = -24922 + 24922. What is the nearest to 2/17 in m, 2, -4, 2/77?
2/77
Let w = -9912 + 99119/10. Which is the closest to w? (a) -0.1 (b) -2/3 (c) -5
a
Let i = -4 - -1. Let x = 40.5 - 34.6. Let j = x - 6.2. What is the nearest to 0 in j, 0, i?
0
Let u = 500 - 498. Which is the closest to u? (a) 10 (b) 0 (c) 0.4
c
Let v(d) = -5*d**2 + 6*d. Suppose 6 - 11 = -r. Let s be v(r). Let z = s + 663/7. What is the closest to -0.1 in -3, 2/17, z?
z
Let i = 6 + -5. Let x = 0.958 - -644.042. Let n = x - 635. What is the closest to 0 in i, -5, n?
i
Let x = -34.3 + 34. Let y = 2/14717 + 103011/58868. What is the nearest to 3 in y, x, 0?
y
Let w(g) = -28*g - 37. Suppose 2*h - u = 6, -3*h - 5*u + 30 + 5 = 0. Let o be w(h). Let p = 889/5 + o. Which is the nearest to -0.1? (a) -2/11 (b) 2/3 (c) p
a
Let g = -459.4 - -459.4. Which is the nearest to -47? (a) 2/17 (b) 0.2 (c) g (d) -0.2
d
Let k be 2/(-13) + (-28)/(-13). Let l = 0.0385 + -0.4385. What is the closest to k in -2, -1, l?
l
Let u = -2489 + 2484. What is the nearest to 2/71 in 0.3, -25, u?
0.3
Let v = -3.8 + 45. Let z = 6.5 - 47.5. Let n = z + v. Which is the nearest to -1/5? (a) 0 (b) n (c) 1/3
a
Let b = -4.66 - -0.46. Let p = 0.2 + b. Let q be (((-12)/40)/(9/36))/((-36)/(-24)). What is the closest to -0.15 in q, 4, p?
q
Let q = 3.22 + -98.22. Let f = -93 - q. What is the closest to 2 in -0.5, 3, f?
f
Let b be 0 - (-80)/144*-9. What is the closest to -0.4 in 0.3, b, -2/3?
-2/3
Let v = -8.931 - -9.013. Which is the closest to 0.2? (a) v (b) 1 (c) -6/5 (d) -1
a
Let o be 74 + -24 + 5/1. Let n be (50 - o) + 11 + -1. What is the nearest to -0.1 in 0, -1, n?
0
Let d = -27372.2 + 27372. Which is the nearest to 5? (a) -1 (b) -16 (c) d
c
Let p = 165.56 + -2.56. Let x = 165 - p. Let q = -4.4 + 4. Which is the closest to x? (a) 4/3 (b) -3 (c) q
a
Let g = 3.17 + -0.17. Let y be -3*14/21*-2 + 0. What is the closest to g in -4/5, y, 0.2?
y
Suppose -3 = -q - 0. Let m = 0.171 - 186.171. Let y = -182 - m. Which is the nearest to 0.1? (a) 1 (b) y (c) q
a
Suppose 7*q - 2*q = 15. Let j be 3 + 1 + (-18)/9. Suppose q*g + c = -13, -3*c = -j*g + c - 4. What is the nearest to g in -4, 1, 2?
-4
Let k = -144.8 + 144.5. Which is the closest to k? (a) 0 (b) -1 (c) 0.3
a
Let o = -8665 - -8658. Which is the closest to -1? (a) -1 (b) -0.25 (c) o (d) 3
a
Let u = -36.3 + 206.3. Let l = u + -170.2. Let v = -0.2 + 0.7. What is the closest to -2 in -0.3, l, v?
-0.3
Let b = 1312 - 1308. Let p = 273.8 + -274. What is the closest to 0 in 4/7, p, -0.4, b?
p
Let s = 27 + -43.7. Let r = s - -17.2. Which is the nearest to 1/3? (a) -0.4 (b) 1 (c) r
c
Let o = 15 - 8. Let d = o + -3. Let p = 57.571 + -58.071. Which is the closest to 0.4? (a) p (b) -2 (c) d
a
Let v be -4*(-2)/(-36)*3. Let i be (3/7)/(-3)*-2. Let y = -1467 + 1468. Which is the nearest to i? (a) y (b) v (c) -1
a
Let d be (9/(-3) + (-6)/(-2))/2. Suppose 14*i = -d*i + 28. Which is the nearest to 3? (a) 5 (b) 1/7 (c) i
c
Let v = -20245 + 20244. Let u = 0.07 - 5.07. What is the closest to v in 1/3, -11, u?
1/3
Suppose 4*w + 0*y - 636 = -3*y, -4*y - 318 = -2*w. Let z = -472/3 + w. Let d = 5/2 - 9/4. Which is the closest to d? (a) 2/9 (b) 1/4 (c) z
b
Let v = -1.4 + 1.7. Let q = 3.7 + v. What is the nearest to q in -4, -5, 4/7?
4/7
Let a(v) = -2*v + 13. Let i be a(8). Let w = 7/2 + i. Let p = 49.6 - 50. What is the closest to -2/3 in p, -0.5, w?
-0.5
Let d be 15 - 3 - (21 - (-616)/(-66)). Let l be 132/(-9) - (-2)/3. Which is the nearest to 0.3? (a) 3 (b) l (c) d
c
Let y be ((-12)/27)/((1440/81)/(-16)). Which is the nearest to 2/5? (a) 0.13 (b) 0.3 (c) 0 (d) y
d
Let s = 10433.6 - 10536. Which is the closest to -2/5? (a) 1 (b) s (c) 1/5
c
Let b(g) = 6*g**2 - 200*g - 137. Let k be b(34). What is the nearest to 0 in k, -0.5, 20?
-0.5
Let b(k) = k**3 + 6*k**2 + 10*k + 61. Let q(u) = 32*u + 58. Let r be q(-2). Let m be b(r). Suppose 6*v - 2*v - 4 = 0. What is the nearest to v in -4, m, 2?
m
Let q = -21.97 + -2.33. Let g = q + 13.2. Let x = -11.2 - g. Which is the nearest to x? (a) 0.7 (b) 2 (c) -1/6
c
Let m be 6/9*(-60)/760. What is the closest to -2/3 in 1/4, -59, m, -3?
m
Let k = -10767 + 10765. What is the nearest to k in 19, -3/2, -0.2, -0.01?
-3/2
Let r = -87.3 - -87. Let n = -20.3 - -20.3. Which is the nearest to -0.1? (a) 15 (b) n (c) r
b
Let f = 1 - 2. Suppose -2*h - 17 = 2*u - 91, -5*h + 145 = -3*u. Let x be (-10)/(-2) - h/60*10. Which is the nearest to -2/11? (a) -0.4 (b) f (c) x
c
Let f be (-3)/4 + (-35)/(-40). Let | {
"pile_set_name": "DM Mathematics"
} |
t is 0 + 15413?
15413
In base 7, what is 13564502 + 4?
13564506
In base 15, what is 7241 - -5?
7246
In base 11, what is -232 - -167?
-76
In base 6, what is -14042431 + 3?
-14042424
In base 13, what is -38cc9c + -1?
-38cca0
In base 9, what is 12202 - 5?
12186
In base 3, what is -11011 - -222101?
211020
In base 12, what is 176 + -684?
-50a
In base 2, what is 0 - -1010110011011011?
1010110011011011
In base 12, what is -7759 + 2?
-7757
In base 7, what is 11 - 32150?
-32136
In base 7, what is 124 + -5214?
-5060
In base 14, what is -304d6 - 3?
-304d9
In base 7, what is 22 + 111206?
111231
In base 4, what is 202311 - -1033?
210010
In base 6, what is -2152213 - -1?
-2152212
In base 16, what is 5 - 5da3?
-5d9e
In base 11, what is -25 - -1140?
1116
In base 10, what is 530 + 82?
612
In base 6, what is 23432 - -10?
23442
In base 6, what is -2 - 11111211?
-11111213
In base 14, what is -26 - -42?
1a
In base 3, what is 1012 + -221111?
-220022
In base 4, what is 2 - 112101222?
-112101220
In base 2, what is -1000001101 - -100001100?
-100000001
In base 2, what is 10011000 + -11011110011?
-11001011011
In base 14, what is 779 - -3c?
7b7
In base 6, what is 303523 - 14?
303505
In base 8, what is -11024 + 6?
-11016
In base 2, what is -10110000101 + -111000110?
-11101001011
In base 12, what is -1a8a9 + 1?
-1a8a8
In base 11, what is 614 - -5?
619
In base 15, what is 1 - -748ad?
748ae
In base 3, what is 10001022011120 - -11?
10001022011201
In base 11, what is 88 + -7839?
-7761
In base 15, what is -8 + 626?
61d
In base 8, what is 1223 + -1?
1222
In base 12, what is -1863 - 277?
-1b1a
In base 3, what is -1001 + 2002002?
2001001
In base 16, what is -e70 - -3?
-e6d
In base 7, what is 12 + 4005524?
4005536
In base 4, what is -230120 + 301?
-223213
In base 13, what is -254c - -67?
-24b5
In base 14, what is -1 - 275a?
-275b
In base 6, what is 11535 + -230?
11305
In base 7, what is -3 + -135653?
-135656
In base 5, what is 0 - -41201?
41201
In base 11, what is -6 - 359?
-364
In base 5, what is -2432031 + -10?
-2432041
In base 14, what is 8 + -2b1?
-2a7
In base 5, what is 10 - -1004331401?
1004331411
In base 16, what is 6a0 - -a3?
743
In base 12, what is -2b + -211?
-240
In base 13, what is -420a + 28?
-41b2
In base 13, what is -1045 - 132?
-1177
In base 13, what is b - -5042?
5050
In base 2, what is -11 + -10011111101111?
-10011111110010
In base 8, what is -360 - 66?
-446
In base 14, what is -7 + -1764?
-176b
In base 13, what is 73aa94 + 3?
73aa97
In base 6, what is 11 - 54551?
-54540
In base 12, what is -15011 + 3?
-1500a
In base 16, what is 1 - 24b2?
-24b1
In base 3, what is 112112021 - 110?
112111211
In base 8, what is 3 + 625076?
625101
In base 2, what is 11000 - -111101111010?
111110010010
In base 14, what is 3c + -d30?
-cd2
In base 15, what is -e8 - 8c?
-185
In base 14, what is 2bb - -1494?
1771
In base 5, what is -1044 + -323?
-1422
In base 14, what is -6 - 1d2757?
-1d275d
In base 16, what is -57 + -1779?
-17d0
In base 4, what is 20002111 - -13?
20002130
In base 5, what is 121 - -112003?
112124
In base 2, what is -10100011101100000 - 1110?
-10100011101101110
In base 10, what is 11601 - 4?
11597
In base 3, what is 1002 + -2200101021?
-2200100012
In base 10, what is -55 - -485?
430
In base 15, what is 336d + 1c?
338a
In base 3, what is -1 + 210011000?
210010222
In base 14, what is -4 + 7324?
7320
In base 10, what is 24666 - 3?
24663
In base 16, what is -62b8 + 2?
-62b6
In base 3, what is -1100200 + -122120?
-2000020
In base 16, what is 96 - 1ab2?
-1a1c
In base 11, what is -237 + 21?
-216
In base 15, what is 15453 + 2?
15455
In base 15, what is 2e6 + -287?
5e
In base 5, what is -314314 + 40?
-314224
In base 10, what is -82 + -1898?
-1980
In base 12, what is 1 + 776b9?
776ba
In base 2, what is -11 + -10011010011110100000?
-10011010011110100011
In base 10, what is -45612 + -39?
-45651
In base 11, what is -999 - 1492?
-2380
In base 2, what is 0 + 1000011111110001?
1000011111110001
In base 2, what is 100111000 - -100000101111?
100101100111
In base 13, what is 6329 - -5?
6331
In base 10, what is 465 - 83?
382
In base 13, what is 536 - -647?
b80
In base 4, what is -31 + 31310303?
31310212
In base 2, what is -1100000101 + 1111011?
-1010001010
In base 16, what is -1d98b - 4?
-1d98f
In base 12, what is -15b10 - -5?
-15b07
In base 6, what is -40144 - -25?
-40115
In base 16, what is -360 + 7?
-359
In base 3, what is 1010021 + -120?
1002201
In base 14, what is 6aa - d5?
5b5
In base 15, what is 227d5 - -4?
227d9
In base 7, what is -206602 - -2?
-206600
In base 5, what is 11043034 - -4?
11043043
In base 11, what is -2a8 + -71?
-369
In base 5, what is -1141 + 33100?
31404
In base 7, what is 552125 + 0?
552125
In base 15, what is -1428 - -6?
-1422
In base 2, what is -100 + 1000011110010000100?
1000011110010000000
In base 6, what is 123411 - 13?
123354
In base 7, what is -20 + -414544?
-414564
In base 15, what is 17e2 - -13a?
192c
In base 3, what is 10 - 2200222212011?
-2200222212001
In base 10, what is -16541 + -39?
-16580
In base 2, what is 1001010100011110 - 1010100?
1001010011001010
In base 12, what is 18ba36 - -4?
18ba3a
In base 4, what is -1220223 - 101?
-1220330
In base 9, what is 2 - -115756?
115758
In base 10, what is 7 + -19895?
-19888
In base 9, what is -2408 + 6?
-2402
In base 10, what is 38 + -6733?
-6695
In base 5, what is 0 - -21400142?
21400142
In base 6, what is 30343 - -24?
30411
In base 6, what is 203 + -1241?
-1034
In base 14, what is a - bc40?
-bc34
In base 15, what is d - 2d0d?
-2d00
In base 11, what is -9 + -986?
-994
In base 16, what is 47f4 - 6a?
478a
In base 3, what is 1 - -1100211222?
1100212000
In base 14, what is 10 + -1a1b9?
-1a1a9
In base 2, what is -1010 - -10001111001110?
10001111000100
In base 15, what is 419 + 17?
431
In base 10, what is 90 - 1347?
-1257
In base 14, what is 130 + -39c?
-26c
In base 2, what is 0 + -1010101011110?
-1010101011110
In base 6, what is 0 - -555411?
555411
In base 4, what is 10 - -31011021?
31011031
In base 4, what is 3 + -11303232?
-11303223
In base 6, what is -12 + 4532?
4520
In base 16, what is -5 - 4f42?
-4f47
In base 11, what is -5a656 + 9?
-5a648
In base 10, what is 194 - -122?
316
In base 15, what is -4 - -ea354?
ea350
In base 15, what is 4513 + 4?
4517
In base 7, what is -526255 + 0?
-526255
In base 14, what is -46 + -191d?
-1965
In base 13, what is 2 - 22c3c?
-22c3a
In base 2, what is -1100001111010111 - -101110?
-1100001110101001
In base 11, what is -10692 + -1?
-10693
In base 13, what is -14cb - 1?
-14cc
In base 11, what is 9 + -1815a5?
-181597
In base 6, what is -2153555 + 10?
-2153545
In base 9, what is 0 - -87486?
87486
In base 15, what is -d99e - 2?
-d9a1
In base 10, what is 2 + -114033?
-114031
In base 2, what is -100 + 100110111011001?
100110111010101
In base 2, what is -100010 + -10001110011100?
-10001110111110
In base 14, what is -30390 - -3?
-3038b
In base 4, what is -10 + -3212220?
-3212230
In base 6, what is 10235 - 1514?
4321
In base 12, what is 5 - 227480?
-227477
In base 12, what is a27180 - 3?
a27179
In base 4, what is 223122 - 132?
222330
In base 16, what is -2a + -3c6?
-3f0
In base 12, what is 26b8 + 53?
274b
In base 8, what is -56267 - 5?
-56274
In base 4, what is 20133102 - -220?
20133322
In base 6, what is 11520 + 15?
11535
In base 10, what is 150 + 5710?
5860
In base 10, what is -21315 + -4?
-21319
In base 5, what is -132 + 3211?
3024
In base 16, what is -8 - 155ed?
-155f5
In base 10, what is -2041 - -85?
-1956
In base 11, what is 2127a + -8?
21272
In base 16, what is 14f - -2e3?
432
In base 2, what is -100010000010110011 - 1110?
-100010000011000001
In base 3, what is 1112212022 + 11102?
1120000201
In base 15, what is -5 + 243e?
2439
In base 2, what is 10010010110100101001 - -1?
10010010110100101010
In base 16, what is 636 + -43?
5f3
In base 14, what is 15246 + 2?
15248
In base 3, what is 12012210121 - 1?
12012210120
In base 15, what is -9c - 1e0?
-28c
In base 4, what is -2 - 1233323?
-1233331
In base 9, what is -2 - 233165?
-233167
In base 12, what is -76513 - 1a?
-76531
In base 16, what is -1 - cd94?
-cd95
In base 14, what is -5 - -3aac?
3aa7
In base 7, what is -3 + 236533?
236530
In base 3, what is 12121202010 - -2?
12121202012
In base 10, what is -4 - 291683?
-291687
In base 13, what is -16 | {
"pile_set_name": "DM Mathematics"
} |
3*m + 186*q - 1756 - 308, 3*q - 4*q - 13 = -4*m for m.
6
Solve -54*o + 4*v + 193 = -55*o + 209, -4*o - 4 = -v for o.
0
Solve -154*z - 4*r - 71 = -16*z + 339, 30*r - 33*r = 2*z + 3 for z.
-3
Solve 4*d - 9830*s = -9869*s - 293, 5*d = s - 18 for d.
-5
Solve 4*w - 169 = 5*t, -t - 246 + 40 = -5*w for t.
-1
Solve -5*o - 87 = 6*d, -270*d = -2*o - 274*d - 62 for o.
3
Solve -3755*s + 3753*s = 5*a + 142, 15*s = 4*a - 1148 for s.
-76
Solve -2*r - 215 = -71*v, -20*v - 15*v + 45*v - r = 13*v - 8 for v.
3
Solve -j - 26*c = -21*c + 11, 5*j + 11*c = -10*c - 47 for j.
-1
Solve -5*t = -4*p - 38, -8034 + 8049 = -5*p - 10*t for p.
-7
Solve 11*m = 7*j - 10*j - 110, 5*m - 7*j + 3*j - 68 = 0 for m.
-4
Solve f + 3*y - 1 = 2*y, -9*f + 59*y = 111*y - 54*y + 24 for f.
-2
Solve 0 = 3*a + 12*q - 12, 2*q + 525 = 4*a + 545 for a.
-4
Solve -10*s - 4 = 5*b + 56, 3*b + 27 + 19 = -3*s + 13 for s.
-1
Solve -5*b - 3 = 2*q, 5*b - 9*q + 10 + 14 - 10 = 0 for b.
-1
Solve 15 = -5*d + 5*k, -8*d + 5*k = 167 - 149 for d.
-1
Solve -242930*h = -c - 242921*h - 78, -109 = 3*c - 2*h for c.
-33
Solve 31922*i - 31920*i = -14*k - 476, 0 = -5*k - 170 for i.
0
Solve -21*s = -4*b - 93, -2*b - 19 = 7*s - 12*s for b.
3
Solve 0 = -4*t - 54*z + 53*z, -5*z + 3 + 3 = -6*t + 6 for t.
0
Solve -p - j = -6*p - 64, 60*p + 108 = -15*p + 71*p + 15*j for p.
-12
Solve -2*l - 3*l - 21 - 8 = 1, 0 = 26*a + 5*l + 108 for a.
-3
Solve 15 = 5*i - 11*p - 18, 119*p + 9 = -3*i - 0*i + 116*p for i.
0
Solve -h = -2*s - 1068 + 1055, 0 = 3*s - 3*h + 12 for s.
-9
Solve 282063 = -5*n - 7*q + 281998, -n + 2*q + 4 = 0 for n.
-6
Solve 2*t = -5*x - 112, 48*t + 1 = 238*x - 237*x - 25 for t.
-1
Solve -30 = -4*o - 6*l + 9*l + 15, 19*o + 30*l - 156 = 25*l for o.
9
Solve -1368*t + 1369*t - 8*c = -48, -5*c = -t - 0*c - 42 for t.
-32
Solve v - 2*p + 195807 = 195804, 0 = 2*v - 5*p + 4 for v.
-7
Solve -150 = 180*j - 177*j + 3*c, 0 = 3*j - 14*c - 293 + 10 - 349 for j.
-4
Solve -6 = 2*j + 5*s, 1887*s - 1890*s = 9*j - 51 for j.
7
Solve -536*b - 108 = -540*b + y, -b + 0*b + 50 = -6*y for b.
26
Solve 39*p + 3*a = 410 + 28, 5*p - 40 = 5*a for p.
11
Solve -5*l + 565*i - 4 = 567*i, -l - 2 = i for l.
0
Solve -6*o = 2*v + 16, 1098*o - 1103*o - 2*v = 12 for o.
-4
Solve z + 2*p - p - 7*p + 7 = -5*p, 2*z = -p + 4 for z.
-1
Solve 0 = -66*m - 5*g - 2442, 2*m - 262 = -3*g - 836 + 257 + 243 for m.
-37
Solve -4*x - 2*p + 0*p = -4, -592 = -4*x - 112*p + 292 for x.
-3
Solve 4*g = 3*w - 154, 10534*w + 186 - 37 = g + 10537*w for g.
-1
Solve -91 = 23*p + y, -9121*y = 5*p - 9130*y + 29 for p.
-4
Solve -5*w + 7*w - 8 = 0, -4*z + 2*z - 4*w = 9 - 29 for z.
2
Solve -5*q - q = -10*q - 0*m + 5*m + 23, -4*q - 56*m - 404 = 0 for q.
-3
Solve 4*b = -4*b + 6*b + 2*c - 8, -448 = 58*b + 14*c for b.
-7
Solve -609*j + 8 = -1214*j + 606*j - 3*p, -15*j + 164 = -p for j.
11
Solve 71*j - 68*j = 856*m + 5130, -5*j - 20 = 5*m + 20 for j.
-2
Solve 11 = -5*p + d - 27, 120*p + d - 78 = 246*p - 129*p for p.
5
Solve -2*r + 4*r - 24 = 17*j, 3*j + 15*r - 12*r = -21 for j.
-2
Solve -3*b - 17 = -5*b + b - x, 4*x + 179 = 9*b for b.
19
Solve -p - 2*p = -25*r - 0*p - 7*p - 165, -3*r + 67 = -2*p for r.
-1
Solve g - 30384 + 30355 = d, g = -4*d - 106 for g.
2
Solve -5*a - 8092*c + 15 = -8115*c, -3*a - 5*c = -9 for a.
3
Solve 3*w - 22 = -2*g, -2*g + 105*w + 38 = 110*w for g.
-1
Solve -120*u - 40 = -130*u + 4*j, 3*u - 17 = -3*j + 26 - 31 for u.
4
Solve -5*d + 45 = -5*q, 3*d + 5*q = -1598 + 1553 for d.
0
Solve -3*t = -35*n + 71*n + 192, -7*t + 5*n = 181 for t.
-28
Solve -5*c + 4*c = 9 - 8, 75*c - 166 = 5*u - 11 for u.
-46
Solve -3*p + 455*m - 452*m + 45 = 0, -33*p + 154 = -2*m for p.
4
Solve 3*x = -j + 2 - 6, -6*j + 11*j + 32*x + 102 = -24*x for j.
2
Solve -m - 67*b + 32 = -60*b, -139 + 41 = -2*m + 3*b for m.
46
Solve 4*y - 2*u = -20, 93331 - 93357 = -2*y - 2*u for y.
1
Solve 960 = 15*i, 0 = -72755*z + 72757*z + 2*i - 138 for z.
5
Solve -607*r + 606*r + 3*i = 44, 11*r = 4*i - 49 for r.
1
Solve 99*d - 199*d + 102*d + 18 = 2*p - 50, -5*p + 139 = -4*d for d.
-31
Solve 4*d - 76 = 0, -4*r + 10*r - r - 3*d = 2*d - 80 for r.
3
Solve 3*r + 27 = 11*k + 109, 9*k - 7*k - 4*r = -46 for k.
-5
Solve -27*w + 20 = 5*j - 13*w - 11*w, 2*w - 3*w = -5*w + 20 for j.
1
Solve 0 = 19*m - 4*b - 669, -6162*m + 6160*m + 3*b + 73 = 0 for m.
35
Solve i - 6*i = m + 13, m + 295244*i = 295245*i - 1 for m.
-3
Solve 5*n + 2*p - p = -4, -356*n + 339*n + 62 = -5*p for n.
1
Solve -2*h - 432 + 445 = -k, 4*h - 4*k = 24 for h.
7
Solve 819 - 831 = 4*t, -3*t - 13 = q for q.
-4
Solve 4*y + 4*f = -20, 7*f - 4*f = 2*y - 13*f - 44 for y.
-2
Solve 109*x - 1109 = -3*z - 1548, -3*z + 17 = -5*x for x.
-4
Solve 136 = 5*b - 2*j, -18*j - 23*j = 3*b - 38*j - 69 for b.
26
Solve -w - 265170*c + 13 = -265175*c, 0 = w + c - 1 for w.
3
Solve -2*s - 21 = -3*z + 2*s + 23, 6*z + 4*s + 1 + 7 = 0 for z.
4
Solve 4*q = 330*d - 326*d - 56, q + 139 = 26*d for d.
5
Solve -7*b + 6*b + 40*d - 1 = 10*b - 9, -2*b - d = b - 26 for b.
8
Solve -3*j = -4*u - 22 - 17, 127*u = 131*u + j + 35 for u.
-9
Solve 270495*x - 270497*x + 2*j = 2, 11*j + 6 = -5*x - 31 for x.
-3
Solve 8*w - f = -3*w + 31, -3*f = -45*w + 48*w - 87 for w.
5
Solve -6*i = -4*l - 200, -326*i + 325*i + 4*l + 10 = -10 for i.
36
Solve 51999*s + 42 = -11*w + 51996*s, 4*s - 3 = 3*w + 2*w for w.
-3
Solve 5*h = q + 5, 54072*q - 4*h - 2 = 54070*q for q.
5
Solve -4*c + 119*g - 715 = -5*c, -4*g - 1 = -3*c + 3 - 16 - 9 for c.
1
Solve 0 = -a + u - 17, -4*u + 88 = 13*a + 39*a - 51*a for a.
4
Solve -2*l = -24*k + 6*l - 11*l - 66, -l - 2*l - 122 = -4*k for k.
2
Solve -5*s + 0*s + 400 = 6*d, s - 32*d + 34*d - 186 = -54 for s.
2
Solve 30*j = 5*q - 80, j + 11416*q + 6 = 11417*q for j.
-2
Solve -t - 12*a = 869, 1078 = 5*t - 3*a + 528 + 359 for t.
-5
Solve -2*h = 2*v + 17*h + 28, 15*v - 11*v + 5*h - 10 = 0 for v.
5
Solve 3*m = s - 103, -76987*m = -76989*m - 3*s - 65 for m.
-34
Solve -4*v + 3529 = x + 3567, -5*v - 18*x = -x + 394 for v.
-4
Solve -z - 9*t + 18 = 41, 0 = z - 3*t - 1 for z.
-5
Solve -4*d + 3*j - 4*j = 0, -2*d + 3*d = -d + 53*j + 642 for d.
3
Solve -2*v - 6108*w = -6107*w + 5 - 3, 44 = -0*v + v - 7*w for v.
2
Solve -2*b + 6010 = -5*u + 6066, 2*b = -15*u + 184 for b.
2
Solve 17*h - 4*o + 298 = 0, -25*o = -4*h - 46*o + 23*o - 68 for h.
-18
Solve -3*y - 3*u + 3*u + 0*u + 189 = 3*u - 66, -4*u + 12 = 0 for y.
82
Solve -584718*y + 584719*y - 7 = l, 5*y = 8*l + 35 for y.
7
Solve -15*m + 2 = r, -4 = -3*r + r - 0*r - m for r.
2
Solve 2*p + 2*p - 64 = -v - 3*v, 2620117*p = 2*v + 2620120*p - 35 for v.
13
Solve -2*q + 10*a + 30 = 0, 4*q = 227*a - 226*a - 16 for q.
-5
Solve -240 = -30*v + 2155*i - 2154*i, 0 = 32*v - 3*i - 256 for v.
8
Solve -5*z - 37 = 9*s, -567212*z = -2*s - 567207*z + 4 for s.
-3
Solve 1098*s + g = 1095*s + 2 + 3, g + 32 = 5*g for s.
-1
Solve -6 = 2*d + 2*f - 0, -5*f = -15*d + d - 137 for d.
-8
Solve -5*a - 23*l = 114 - 2, -a - 2*a - 2*a = 5*l + 40 for a.
-4
Solve 4*m - 12350 + 12308 = 7*v, -4*m + 36 = -4*v for v.
-2
Solve 13*m = 77*m - 4*p - 152, -5*p - 46 + 32 = 55 + 41 for m.
1
Solve -5*t + 43990 = 5*c + 43935, 0 = -t - 5*c + 7 for t.
12
Solve f - 3*c + 4*c - 27 = 5*c, -3*c - 30 = 128*f - 119*f for f.
-1
Solve -2*y = -0*y - 0*y - y - 3, -3*x - 24*y - 194 + 53 = 0 for x.
-71
Solve 110 = -2*q - 6*c, 7702745*q + 3*c + 287 = 7702740*q for q.
-58
Solve -5*l = o - 99 + 87, -5*o + 7*l = 5*l + 21 for o.
-3
Solve 5*t - 355*k = -358*k - 22, 3*k = -2*t - 16 for t.
-2
Solve -5*s = 178673*j - 178671*j + 6, -7*j + 18 = -2*s for s.
-2
Solve -7189*m = 2*j - 7187*m - 12, 3*m - 18 = 5*j for j.
0
Solve -245*y + 122*y + 118*y + 48 = 3*a, a = -4 for y.
12
Solve -5*p = w + 72, 447 = -77309*w + 77304*w + 4*p for w.
-87
Solve -2732*l - o - 2 = -2734*l, -o - 2 = 5*l for l.
0
Solve 4*g + 11*f - 11*f = -4*f + 4, -4*g + 13 = f for g.
4
Solve -5*t - 60 = -5*r, 42 = 1775*r - 1771*r - 2*t for r.
9
Solve 3*b + 2*b - 29 = -0*b - 2*u, -5*b + 33 = 26*u - 22*u for b.
5
Solve 0 = -14*u - 6*z - 92, -110*z + 106*z = -4*u + 88 for u.
2
Solve 7*i - 3*g - 34 = 5*i - 53, -g + 9 = -2*i for i.
-2
Solve -56 = -17*k - 4*l, -k - 17168*l + 16 = -17172*l for k.
4
Solve -5*d + 5*i = 2*i - 61, -5*d = 144*i - 128*i - 23 for d.
11
Solve 17*u + 3*h - 486 + 546 = 0, 12 = -4*h for u.
-3
Solve 5*a - a - 611*n + 22 = -606*n, a - 14 = -13*n - 10 - 38 for a.
-8
Solve | {
"pile_set_name": "DM Mathematics"
} |
). Let y(v) = b*z(v) + w(v). Let d be y(-6). What is the highest common divisor of 36 and d?
12
Let s be (-1 - -2) + (48 - 1). Let w(k) = 8*k**2 + 38*k**3 - 3*k + 0*k - 57*k**3 + 18*k**3. Let f be w(3). Calculate the greatest common divisor of f and s.
12
Suppose -6*d + 1970 + 2206 = 0. Suppose 5*i - d = i. Suppose -2*y = -4*u + i, -5*y - 90 = -2*u + 9. Calculate the highest common divisor of 42 and u.
42
Let h(g) = -g**3 + 11*g**2 - g - 40. Let a be h(10). Let s(x) = x**2 - 52*x + 163. Let c be s(a). Calculate the highest common factor of c and 7.
7
Let c be 35 + -1 + -28 - (1 + -413). What is the highest common factor of c and 110?
22
Let u(x) = 4*x**3 - x**2 - 4. Let r be u(0). Let h be -3*(7 + -5)*r. Let d = 127 + 41. What is the highest common factor of h and d?
24
Let n be -7 + (1 - -24) + 6. Calculate the highest common factor of n and 9736.
8
Suppose 0 = 3*m - 3*n - 1557, -3*m = -2*n - 1136 - 422. Suppose -f + m = 376. Calculate the highest common divisor of f and 18.
18
Let r be (66/(-55))/(1 + (-313)/310). What is the greatest common divisor of r and 1209?
31
Let q(t) = t**2 + 2*t - 7. Let w be q(-8). Suppose -574 = -21*i + 7*i. Calculate the greatest common factor of i and w.
41
Let y(v) = -611*v - 2388. Let c be y(-4). What is the highest common divisor of c and 3962?
14
Suppose 225590 - 39119 + 233733 = 114*n. Calculate the greatest common factor of n and 38.
38
Let r = 21 + 140. Let t = 29 - -19. Let l be t/2 + (-10 - -9). What is the highest common factor of r and l?
23
Let y(l) = 13*l + 4198. Let u be y(64). What is the greatest common divisor of u and 10?
10
Let h = 69 + -45. Let x(c) = c**3 + 6*c - 2. Let o be x(5). Let p = -145 + o. What is the greatest common factor of h and p?
8
Let o = -37 - -73. Let x = 16170 - 16140. Calculate the greatest common divisor of o and x.
6
Let g(z) = -760 + 8*z**2 + 758 + 13*z + 38*z. Let s be g(-7). Calculate the greatest common divisor of s and 242.
11
Suppose -470 + 126 = -4*h. Let k = h - 43. What is the highest common factor of k and 43?
43
Let m be 9/(-75)*(-4 - -9) + 268401/35. What is the greatest common divisor of m and 4686?
426
Suppose 17*f - 13*f = 200. Suppose -4*y + 524 = -4*p, -4*p = -5*y - f + 706. Let l = y - 104. Calculate the highest common factor of 252 and l.
28
Let v = 801 + -857. Let j be -14*(584/v - -9). What is the highest common divisor of 270 and j?
10
Let f(p) = -2*p**2 + p + 36. Let t be f(0). Let m(g) = -6*g + 328. Let q be m(t). Calculate the highest common factor of q and 7.
7
Let g(q) = 44*q**2 - 8*q - 2. Suppose -17*d = -14*d + 111. Let p = d - -34. Let t be g(p). Calculate the highest common divisor of 38 and t.
38
Suppose -5*w = p - 75, -77 = -p + 2*w - 5*w. What is the greatest common divisor of 16 and p?
16
Let k = 3470 + 303. What is the highest common divisor of k and 66?
11
Let r be 5/(-30) + 62/12. Let a be ((-6)/(-5))/(3/r). Let z be -1 + (-50)/(-5) + a. Calculate the highest common factor of z and 99.
11
Let q(n) = n**3 + 21*n**2 + 62*n - 352. Let y be q(-14). What is the highest common factor of y and 16?
8
Suppose 70*c - 176*c + 79344 = -77*c. Calculate the greatest common divisor of c and 57.
57
Let x be -10 - -7 - (4 - (5 + -3)) - -241. Calculate the greatest common divisor of x and 20.
4
Suppose -1836 = 363*d - 380*d. Calculate the greatest common divisor of d and 3564.
108
Suppose 3*q + 374 = 5*g + 23, -4*q = 4*g + 436. Let f = q + 113. What is the greatest common factor of f and 11?
1
Let v = 4946 + -4810. What is the greatest common factor of v and 799?
17
Let i(r) = -r**2 + 24*r + 122. Let t be i(36). Let z = t + 334. Calculate the greatest common divisor of 200 and z.
8
Let o(s) = -11*s - 8*s + 69*s**2 + 14*s - 5 + 19*s**2. Let d be o(-2). What is the greatest common divisor of 102 and d?
51
Let n(g) = -225*g + 390. Let w be n(-14). What is the greatest common divisor of 12 and w?
12
Suppose 62*u - 233 - 56 = 621 - 166. Let p = -14 + 34. Calculate the greatest common factor of u and p.
4
Let i = 114 - 105. Let b be (79 - 43)/(1/2). What is the greatest common factor of i and b?
9
Let h = 9689 + -9560. What is the highest common factor of 5805 and h?
129
Suppose 0 = -3*b + 5*x + 245, -x + 241 = 3*b - 2*x. Let h = 430 + -382. What is the greatest common factor of b and h?
16
Let t be 2/(-4) + (-21)/(-6). Let f be (-72)/(-108) + 2 + 2296/t. Calculate the greatest common divisor of f and 12.
12
Suppose 125 = 5*b - 45. Let r(z) = z**3 + 29*z**2 - 5*z - 139. Let g be r(-29). Calculate the highest common factor of b and g.
2
Suppose 4*v + 2*p - 578 = 0, -p + 2 + 1 = 0. Let m = -92 - -93. Let g be 16 + -20 + 17*m. Calculate the greatest common factor of g and v.
13
Let f(g) = 37*g**2 + 103*g - 1057. Let x be f(19). What is the greatest common divisor of x and 53?
53
Suppose y - 2*q - 140 = 0, 19*q + 141 = y + 16*q. Calculate the greatest common divisor of y and 1863.
69
Let t be ((-160)/(-24))/(5/3 - 1). Let m = t - -42. Suppose g + 4*s - 71 = m, -s = 5. Calculate the highest common divisor of 13 and g.
13
Suppose -555*x + 550*x = -3620. Let m = x + -625. What is the highest common factor of m and 55?
11
Suppose -23*b = -114775 + 21142. Calculate the highest common divisor of b and 354.
177
Let l(r) = r**3 + 15*r**2 + 53*r - 4. Let c = -605 + 597. Let z be l(c). What is the highest common divisor of 120 and z?
20
Suppose -62*j = c - 59*j - 18, -c + 28 = -2*j. Calculate the greatest common factor of 48 and c.
24
Suppose 8*s = -15*s + 35849 + 26182. Calculate the highest common factor of 1023 and s.
93
Let c be (-3760)/(-60) + (-1)/(-3). Let y be (3444/c)/(((-12)/45)/(-2)). What is the highest common factor of y and 10?
10
Let c be 10/(-7)*(20 + -62). Suppose -11*r + 28 = -c. Calculate the greatest common divisor of 376 and r.
8
Let h = 18725 + -18699. What is the greatest common factor of h and 388?
2
Let b be (-2)/8 + (17622/88)/1. What is the greatest common divisor of 1900 and b?
100
Let b = 8596 - 7516. Calculate the highest common factor of b and 40.
40
Let c(t) = -2*t + 10. Let m be c(9). Let o be 138/(m/(-3) + -2). Let d = -6099 - -6122. What is the highest common factor of d and o?
23
Let k = 91 + -11. Suppose -4*y + k = -0*y. Suppose -30*a + 1131 = -437 + 68. What is the greatest common factor of a and y?
10
Let q = 20 - 20. Suppose q = 4*r - 6*r + 328. Let u = 90 - 49. Calculate the greatest common factor of u and r.
41
Let o(d) = d**3 + d**2 - 83*d - 4. Let b = 155 + -146. Let p be o(b). Calculate the highest common factor of 177 and p.
59
Let m = -194 + 202. Let r(t) = 2*t**3 - 9*t**2 + 38 - 54 - t**3 + 11*t. Let s be r(8). Calculate the greatest common factor of m and s.
8
Suppose -a + 69 = 2*k, -22*a = -2*k - 18*a + 54. Calculate the greatest common divisor of 2431 and k.
11
Let o(g) = -16*g + 64. Let f be o(2). Let c = -18 + f. Calculate the highest common divisor of c and 434.
14
Let s be 4 + 92/(-24) + ((-20944)/96)/(-11). Calculate the highest common divisor of s and 9140.
20
Let w(c) = -1811*c + 3784. Let z be w(2). What is the highest common divisor of 3474 and z?
18
Let k be (-3 + 2)/((-1)/5). Suppose 4*b = 37*b - 1782. Suppose 141 = k*h - b. Calculate the greatest common divisor of h and 26.
13
Suppose -4*s + 9*x = 5*x - 864, -4*x = 8. Let f = 33 + s. Calculate the greatest common divisor of f and 38.
19
Suppose 3*p + 246 = 4*f - 396, -5*p - 328 = -2*f. Let y = 289 - f. Calculate the greatest common divisor of y and 52.
26
Suppose -8*k + 10*k = -3*z + 556, 2*k = z - 164. What is the greatest common divisor of 1810 and z?
10
Let z be (1784/15)/8 + 8/60. Let m be 2*(z/10)/(-4 + 7). Calculate the highest common divisor of 1 and m.
1
Let n(a) = -11*a - 2. Let d be n(-10). Suppose -3*c = -21 - d. Suppose -41 = -2*m + c. Calculate the highest common divisor of m and 105.
21
Suppose -3*c = -b + 119, b - 2*c + 270 = 3*b. Suppose -b + 83 = 3*o. Let f = 48 + o. What is the greatest common factor of 96 and f?
32
Let y(j) = 2*j**3 - 35*j**2 + 20*j + 8. Let x be y(17). Let m = x + 21. Calculate the greatest common divisor of 100 and m.
20
Let v = 12775 - 9112. Calculate the highest common divisor of 165 and v.
33
Suppose b = q + 3*q + 12, -4*b + 2*q + 34 = 0. Let j = -57877 + 58109. What is the greatest common divisor of j and b?
8
| {
"pile_set_name": "DM Mathematics"
} |
PM and 6:45 PM?
158
What is 373 minutes before 12:35 PM?
6:22 AM
How many minutes are there between 8:33 AM and 6:09 PM?
576
What is 344 minutes after 9:48 PM?
3:32 AM
What is 504 minutes before 6:00 PM?
9:36 AM
How many minutes are there between 7:53 AM and 7:52 PM?
719
What is 321 minutes before 2:59 AM?
9:38 PM
How many minutes are there between 3:45 PM and 11:58 PM?
493
How many minutes are there between 8:53 PM and 1:05 AM?
252
What is 406 minutes after 9:36 PM?
4:22 AM
What is 702 minutes before 7:35 PM?
7:53 AM
How many minutes are there between 2:27 AM and 4:52 AM?
145
What is 387 minutes after 1:46 PM?
8:13 PM
How many minutes are there between 5:10 AM and 5:52 AM?
42
How many minutes are there between 7:33 AM and 8:17 AM?
44
How many minutes are there between 6:48 AM and 3:13 PM?
505
How many minutes are there between 8:51 AM and 4:56 PM?
485
How many minutes are there between 3:53 AM and 6:45 AM?
172
How many minutes are there between 7:30 PM and 4:18 AM?
528
How many minutes are there between 12:18 AM and 10:27 AM?
609
What is 173 minutes after 4:51 AM?
7:44 AM
What is 466 minutes after 4:36 AM?
12:22 PM
What is 672 minutes after 1:24 AM?
12:36 PM
What is 318 minutes after 2:25 PM?
7:43 PM
How many minutes are there between 3:48 PM and 3:03 AM?
675
How many minutes are there between 11:44 AM and 8:32 PM?
528
How many minutes are there between 1:50 PM and 12:31 AM?
641
How many minutes are there between 6:59 PM and 12:31 AM?
332
What is 589 minutes after 8:26 AM?
6:15 PM
What is 110 minutes before 8:54 AM?
7:04 AM
What is 101 minutes before 4:02 PM?
2:21 PM
What is 576 minutes before 8:41 AM?
11:05 PM
How many minutes are there between 4:25 AM and 3:40 PM?
675
What is 101 minutes after 9:42 PM?
11:23 PM
What is 295 minutes before 5:44 AM?
12:49 AM
How many minutes are there between 10:40 PM and 10:39 AM?
719
What is 459 minutes before 5:34 AM?
9:55 PM
What is 418 minutes before 1:47 PM?
6:49 AM
How many minutes are there between 9:31 AM and 11:07 AM?
96
How many minutes are there between 4:40 PM and 1:01 AM?
501
How many minutes are there between 9:28 AM and 10:12 AM?
44
What is 332 minutes after 11:37 AM?
5:09 PM
How many minutes are there between 6:24 PM and 5:05 AM?
641
What is 291 minutes before 3:51 PM?
11:00 AM
What is 90 minutes after 5:43 PM?
7:13 PM
How many minutes are there between 1:39 PM and 6:18 PM?
279
How many minutes are there between 9:12 PM and 2:07 AM?
295
How many minutes are there between 12:05 PM and 5:32 PM?
327
How many minutes are there between 2:50 PM and 7:46 PM?
296
How many minutes are there between 8:09 AM and 4:43 PM?
514
What is 636 minutes before 1:34 AM?
2:58 PM
What is 652 minutes after 5:07 PM?
3:59 AM
What is 89 minutes after 6:29 PM?
7:58 PM
What is 693 minutes before 5:48 AM?
6:15 PM
How many minutes are there between 2:40 PM and 5:05 PM?
145
How many minutes are there between 6:25 AM and 1:06 PM?
401
What is 77 minutes before 5:18 AM?
4:01 AM
How many minutes are there between 4:16 AM and 7:11 AM?
175
How many minutes are there between 9:36 PM and 1:46 AM?
250
How many minutes are there between 7:33 AM and 10:11 AM?
158
What is 719 minutes before 6:56 PM?
6:57 AM
What is 458 minutes after 7:40 AM?
3:18 PM
How many minutes are there between 10:41 PM and 7:40 AM?
539
How many minutes are there between 3:57 PM and 3:24 AM?
687
How many minutes are there between 12:25 AM and 3:42 AM?
197
How many minutes are there between 8:53 AM and 2:21 PM?
328
How many minutes are there between 12:47 PM and 11:52 PM?
665
What is 618 minutes after 10:41 AM?
8:59 PM
What is 320 minutes after 6:37 AM?
11:57 AM
What is 394 minutes after 3:14 AM?
9:48 AM
What is 12 minutes after 4:52 PM?
5:04 PM
How many minutes are there between 5:16 PM and 8:09 PM?
173
What is 97 minutes after 1:25 PM?
3:02 PM
How many minutes are there between 10:22 AM and 10:17 PM?
715
What is 448 minutes before 9:15 PM?
1:47 PM
What is 582 minutes after 7:39 PM?
5:21 AM
What is 582 minutes after 4:14 PM?
1:56 AM
How many minutes are there between 3:46 PM and 1:27 AM?
581
How many minutes are there between 2:09 AM and 1:12 PM?
663
How many minutes are there between 5:57 PM and 5:37 AM?
700
How many minutes are there between 7:05 PM and 10:48 PM?
223
What is 386 minutes before 6:29 AM?
12:03 AM
How many minutes are there between 8:29 PM and 1:44 AM?
315
How many minutes are there between 9:29 PM and 9:31 PM?
2
What is 675 minutes before 3:53 AM?
4:38 PM
How many minutes are there between 9:25 AM and 2:04 PM?
279
How many minutes are there between 8:57 AM and 11:04 AM?
127
What is 612 minutes after 9:22 PM?
7:34 AM
How many minutes are there between 10:45 AM and 5:39 PM?
414
How many minutes are there between 3:31 PM and 1:23 AM?
592
What is 505 minutes before 8:08 AM?
11:43 PM
What is 474 minutes before 6:25 PM?
10:31 AM
How many minutes are there between 1:23 PM and 9:36 PM?
493
What is 404 minutes after 3:19 AM?
10:03 AM
How many minutes are there between 9:11 AM and 4:15 PM?
424
What is 373 minutes before 8:48 PM?
2:35 PM
How many minutes are there between 5:44 PM and 5:48 PM?
4
How many minutes are there between 10:04 PM and 3:58 AM?
354
What is 530 minutes after 9:50 AM?
6:40 PM
How many minutes are there between 10:38 AM and 7:36 PM?
538
What is 50 minutes after 10:13 AM?
11:03 AM
How many minutes are there between 1:19 PM and 7:13 PM?
354
What is 655 minutes before 1:44 AM?
2:49 PM
How many minutes are there between 9:55 PM and 2:25 AM?
270
What is 154 minutes after 9:36 AM?
12:10 PM
What is 691 minutes after 8:10 AM?
7:41 PM
How many minutes are there between 12:34 PM and 5:13 PM?
279
How many minutes are there between 10:30 AM and 7:39 PM?
549
How many minutes are there between 5:08 PM and 2:07 AM?
539
How many minutes are there between 11:35 AM and 6:38 PM?
423
How many minutes are there between 3:07 AM and 1:23 PM?
616
What is 568 minutes after 8:18 AM?
5:46 PM
What is 643 minutes before 7:45 PM?
9:02 AM
What is 300 minutes after 9:31 PM?
2:31 AM
How many minutes are there between 8:37 AM and 11:12 AM?
155
What is 444 minutes before 2:49 PM?
7:25 AM
How many minutes are there between 6:55 PM and 6:49 AM?
714
What is 644 minutes after 10:06 PM?
8:50 AM
How many minutes are there between 6:06 PM and 12:48 AM?
402
How many minutes are there between 7:43 AM and 6:40 PM?
657
How many minutes are there between 2:16 PM and 5:40 PM?
204
What is 672 minutes before 3:43 AM?
4:31 PM
How many minutes are there between 1:57 AM and 9:00 AM?
423
How many minutes are there between 7:37 PM and 9:24 PM?
107
What is 643 minutes after 7:46 PM?
6:29 AM
How many minutes are there between 12:21 AM and 2:54 AM?
153
What is 25 minutes after 9:54 PM?
10:19 PM
How many minutes are there between 12:45 PM and 7:35 PM?
410
How many minutes are there between 9:11 AM and 12:03 PM?
172
How many minutes are there between 11:24 AM and 5:18 PM?
354
How many minutes are there between 10:12 AM and 1:03 PM?
171
What is 667 minutes after 2:58 AM?
2:05 PM
What is 101 minutes before 8:44 PM?
7:03 PM
How many minutes are there between 4:42 PM and 4:29 AM?
707
What is 472 minutes after 10:30 AM?
6:22 PM
What is 610 minutes after 4:33 AM?
2:43 PM
What is 136 minutes before 12:33 PM?
10:17 AM
How many minutes are there between 3:58 PM and 3:13 AM?
675
What is 444 minutes after 10:13 AM?
5:37 PM
What is 154 minutes before 2:39 AM?
12:05 AM
How many minutes are there between 8:58 PM and 8:01 AM?
663
What is 41 minutes before 3:38 PM?
2:57 PM
How many minutes are there between 8:17 PM and 1:03 AM?
286
What is 194 minutes before 8:41 PM?
5:27 PM
How many minutes are there between 11:31 AM and 6:15 PM?
404
How many minutes are there between 1:07 AM and 4:31 AM?
204
What is 468 minutes after 10:06 PM?
5:54 AM
What is 538 minutes after 3:01 AM?
11:59 AM
What is 91 minutes before 9:35 AM?
8:04 AM
What is 439 minutes before 2:46 AM?
7:27 PM
How many minutes are there between 9:17 PM and 5:29 AM?
492
How many minutes are there between 6:25 PM and 12:07 AM?
342
What is 155 minutes after 2:59 AM?
5:34 AM
What is 530 minutes after 10:47 PM?
7:37 AM
How many minutes are there between 8:35 PM and 12:39 AM?
244
How many minutes are there between 7:45 AM and 12:10 PM?
265
What is 532 minutes | {
"pile_set_name": "DM Mathematics"
} |
15 = 0, c = -5*f - 7. Let j(i) = -2*i**2 - 1 + 4*i**2 + i**2 - 13*i + i**3 + 11*i. Is j(f) prime?
True
Let g(q) = 39*q - 30. Let h(z) = -8*z + 6. Let v(m) = 2*g(m) + 11*h(m). Let j(a) = -9*a + 6. Let t(c) = -5*j(c) + 4*v(c). Is t(5) prime?
True
Suppose 5*c + 3 - 43 = -5*d, 2*d = -4*c + 24. Suppose -4*f + o = -1713, 1600 = d*f + 2*o - 98. Is f a composite number?
True
Let p be (7 - -3)*(3 + -2). Suppose -5*i = 10 + p. Let n(h) = 4*h**2 + 5*h + 5. Is n(i) a prime number?
False
Suppose 0 = 3*l - l + 14. Is 2 + 2 + l + 54 a prime number?
False
Let c be 1 - (-1 + 5 + -2). Is (25 + -2)*-1*c a composite number?
False
Suppose 0 = 3*f - 2 - 592. Is -2*(-1)/2 + f a composite number?
False
Suppose g - 714 = -4*i, -3*i - 3*g + 693 = 162. Let l = i + -15. Suppose 3*s - l = 469. Is s a composite number?
False
Suppose -l + 267 = 2*l. Is l a composite number?
False
Let t = 91 + 23. Suppose -4*y + 5*l = -2 - 141, -3*y - 3*l = -t. Is y composite?
False
Suppose 1683 + 6372 = 15*r. Is r prime?
False
Suppose -43 = 3*l - 3*f - 13, 0 = -4*l + 3*f - 38. Let y(g) = -g**3 - 7*g**2 + 5*g - 10. Let v be y(l). Let x = v - -5. Is x composite?
False
Suppose 2*z - 10 = 2*w + 2*w, -10 = z + w. Let x(v) = -9*v + 2. Let n be x(z). Let f = n - 0. Is f composite?
False
Let l(x) = 2*x**2 + 3*x + 1. Let o be l(-2). Suppose 7 = -b - s, -2*b - o*s - 39 = -6*s. Is (b/(-2))/(6/15) a prime number?
False
Let l(q) = -8*q**3 - q**2 - 2*q - 2. Let x = -2 + -1. Is l(x) prime?
True
Let l = 11 + -8. Suppose l = -4*t - 1. Is (29 - t)*2/4 composite?
True
Let x be (4*(-3)/(-4))/1. Is 10*(-3 + 1 + x) a prime number?
False
Suppose o + 34 - 92 = 0. Let a = o - 9. Is a a composite number?
True
Let k(n) = n**2 - n + 7. Let q be k(-11). Suppose -4*p + 399 - q = 0. Is p prime?
False
Suppose 2*f + 14 = x + x, -5*x - 14 = 2*f. Let q = -4 - f. Is (-3)/3*(-16 - q) a prime number?
True
Is 3/(-6)*41*-4 composite?
True
Let i(t) = 414*t**3 + t**2 - 1. Let m be i(1). Suppose 4*f - 208 - 226 = -5*n, m = 4*f - 5*n. Is f a composite number?
True
Suppose 40*q = 38*q + 1802. Is q composite?
True
Let h(k) be the third derivative of k**5/60 - k**4/12 + k**3 + 2*k**2. Is h(4) a prime number?
False
Let j = -3 - -2. Is (-6)/(-3) - (-32 + j) composite?
True
Suppose 2*q = -7 - 3. Let s(v) = v - v**2 - 7 + 1 + v**3 - 2*v**3. Is s(q) a prime number?
True
Suppose 0*r - 5*r + 25 = 5*p, 2*r + 5*p - 19 = 0. Suppose -4*s = -3*l - 3*s + 31, 3*l - r*s = 32. Is l composite?
True
Let o = -11 + 8. Let x = 0 - o. Is x prime?
True
Suppose 2*n - 1 = 3*m + 16, 2 = -3*n - m. Is 0 + (-3 - -94)*n a prime number?
False
Let m be -1*(0 + (0 - 0)). Suppose 3*l = -m*l + 99. Is l composite?
True
Suppose -q - b + 70 + 1348 = 0, -q + 3*b = -1406. Is q a prime number?
False
Let s(b) = 22*b**2 + 1. Is s(2) composite?
False
Let j(i) = 331*i**2 + i. Let k be j(-1). Suppose s = 4*g - k, -68 + 242 = 2*g - 5*s. Is g a prime number?
False
Suppose -3*d - 8 = 4. Let c = -2 - d. Suppose -k = 4*r + 67 - 214, -2*k = c*r - 270. Is k prime?
True
Let a(w) = 7*w**3 + 2*w**2 - 12*w + 14. Is a(9) prime?
True
Let a(y) = -11*y - 11. Suppose -3*d - 16 = -d. Is a(d) a composite number?
True
Let l(g) = -2 + 3*g - 2*g + 5. Let a be 553/77 - 2/11. Is l(a) a composite number?
True
Let m(r) = -r. Let j(k) = 6*k - 12. Let h(a) = -j(a) - 5*m(a). Is h(-11) a prime number?
True
Suppose 2*m = -4*x + 6, 3*m = x - 1 - 11. Let j be (-32)/(-18) - (-8)/36. Suppose 2*t + 0*t - 3*a - 98 = 0, j*a - 173 = -x*t. Is t a prime number?
False
Suppose -109 = -3*l - y, 2*l - 7*y - 84 = -2*y. Is l prime?
True
Let u(x) be the second derivative of -3*x**5/20 - 5*x**4/12 + x**3/6 + 3*x**2/2 + 8*x. Suppose 0*b + 4 = -b. Is u(b) composite?
True
Suppose -3*f + f + 982 = 0. Is f a composite number?
False
Suppose -2*z + 3*y + 2124 = 0, -z + 0*z + 3*y + 1059 = 0. Is -2 - (-3)/(9/z) composite?
False
Let w(k) = 65*k**2. Let p be w(1). Let v = 105 - p. Suppose y + t = 4*y - 35, -2*y + v = -4*t. Is y prime?
False
Let c be 2/(-4)*(-428 - -6). Let f = -84 + c. Is f a prime number?
True
Let f(w) = -w**3 - w**2 - 1. Let n(p) = -4*p**3 + 6*p**2 - 17*p - 17. Let s(c) = 5*f(c) - n(c). Is s(-13) prime?
False
Is (912/2 + -4)/2 prime?
False
Let o(u) = u**3 + 23*u**2 + 21*u + 17. Let b be o(-22). Let t = 57 - -15. Suppose 0 = -y - 4*h + b, -4*y + 3*h = -t - 46. Is y composite?
False
Suppose 0 = -2*l - 0*l - 4*n + 166, 4*l - 5*n - 293 = 0. Is l a prime number?
False
Suppose 7*p = 3*p + 2*y + 14, -17 = -4*p + 5*y. Suppose 4*w - 5*k = 34 + 2, 0 = p*k. Is w a prime number?
False
Suppose 0*u + u = 44. Suppose 0 = -k - 7 + u. Is k a prime number?
True
Let o(x) = -2*x**2 - 2*x - 1. Let n be o(-2). Let b(w) = 7 + 2*w + 0*w + 2*w + 2*w**2 - 2. Is b(n) prime?
False
Let k = 150 - 97. Is k a prime number?
True
Let r = 11 - 6. Let j be (-2)/r + 994/10. Let b = j - 22. Is b composite?
True
Let q = 2246 - 1107. Is q a composite number?
True
Let r = -759 + 1178. Is r prime?
True
Let h(g) = g**2 + 2*g - 3. Let x be h(-3). Suppose x = l - 8 + 63. Let j = 108 + l. Is j a composite number?
False
Suppose -2*i + 420 = 2*g, -1053 = -5*i - 5*g + 3*g. Is i a prime number?
True
Suppose 4*f = -3*l + 2*l + 17, 0 = -3*l + f + 64. Is l prime?
False
Suppose 3*j + 2*c = -c + 744, -j + 244 = 5*c. Is j composite?
True
Let w be (698/3)/(2/(-3)). Let y = w - -494. Is y prime?
False
Suppose -2*i - c = 11, -5*c - 1 - 24 = 0. Let r be (-7)/(-3)*(-45)/i. Let p = r + -13. Is p composite?
True
Suppose 2*u = 4*u - 78. Is u a prime number?
False
Let o = 7 + -1. Is 195/o*(1 - -1) a prime number?
False
Suppose -2*r - 3*r = -10. Let h(n) be the third derivative of n**6/24 + n**5/60 - n**3/6 + n**2. Is h(r) a composite number?
False
Let l = 237 - -80. Is l a prime number?
True
Let d(m) = 2*m + 250. Let x be d(0). Let v = x - 123. Is v composite?
False
Let h be (-2)/(-4) - 3/(-2). Let r = 2 - h. Suppose r = 4*k - 60. Is k a prime number?
False
Is 2/(-8) + (-22345)/(-20) composite?
False
Suppose -3*f = 5*c - 3 - 1, 0 = -5*f - c + 14. Suppose -f*p + 1 = 4. Is p + 5*(-1 - -9) prime?
False
Let y(f) = -4*f**3 + f**2 + f. Let x be y(-1). Suppose 0 = -2*d + 5*h + 37, -25 = -x*h - h. Suppose -d - 75 = -2*g. Is g a composite number?
False
Let d(t) = 0*t**3 - 41*t**3 - t + t**2 + 1 - 2 + 0*t**2. Let x be d(-1). Suppose -2*l + 30 = 2*o, l - o - x = -l. Is l a prime number?
True
Let m(k) = 1. Let d(w) = w + 1. Let y(u) = d(u) - 3*m(u). Let x be y(7). Suppose 7 = -x*p - 8, a = -3*p + 22. Is a a prime number?
True
Let w(t) = 29*t - 4. Suppose 0 = -4*c + z + 2*z + 5, 5*z = 3*c + 10. Suppose -2*v - 1 - 1 = -4*i, -4*i = c*v - 37. Is w(v) prime?
False
Let b = 4 - -2. Suppose -3*n - b = 0, -3*k = -k - 4*n - 374. Let s = -22 + k. Is s prime?
False
Let j = 81 + -2. Is j a prime number?
True
Let s be (-20)/8*4/(-5). Suppose 0 = -4*k + s*k + 134. Is k a composite number?
False
Is 4 - 1647/6*-2 prime?
False
Let z(d) = 9*d**2 + 5*d - 7. Suppose 3*k + a = 15, -4*k + a = 4*a - 25. Is z(k) composite?
False
Suppose -4*l + 10 + 338 = 0. Is l a composite number?
True
Is (-60)/90*(-4242)/4 a prime number?
False
Let p = 1111 + -792. Is p a composite number?
True
Suppose 3*l - 380 = -2*l. Suppose -3*o + 4*o = -l. Is 0 - (o - (0 - -3)) a composite number?
False
Let j = 7 - 12. Suppose -6*t - 3 = -9*t. Is (28 - j) + 1 + t a prime number?
False
Suppose 0 = -0*l - 3*l + 2193. Is l a prime number?
False
Let b = 177 + -50. Let g(a) = -19*a**2 + 2. Let z be g(-2). Let m = z + b. Is m a prime number?
True
Suppose -4*j = -4*k + j + 767, 0 = 4*k - 2*j - 782. Let v = k - 129. Is v a prime number?
False
Let q(a) = -3*a - 4. Let z(c) = -c - 1. Let o(r) = -3*q(r) + 8*z(r). Let i be o(-4). Suppose 0*l - 2*l + 12 = i. Is l prime?
False
Is 129/12 + 1/4 prime?
True
Suppose 5*o = 7789 + 8506. Is o a composite number?
False
Let n = 2 + 0. Suppose 4*m - 1060 = -5*q, -3*m + 1042 = n*q + 247. Is m composite?
True
Let b(m) = 4*m**2 + 2*m - 1. Let i be b(1). Suppose 475 = -0*y + i*y. Is y a prime number?
False
Let h(m) = 52*m**2 + 3*m - 3. Is h(2) prime?
True
Suppose 5*f = 4*n - 673, -5*f + 0*n - 694 = 3*n. Let k = 720 + f. Is k a composite number?
True
Suppose -3*i = -9, -2 - 7 = 2*j - 5*i. Suppose -3*a + 73 = 2*g - 0*g, 5*a + j*g = 121. Is a a composite number?
False
Let h(p) = -93*p + 10. Let t be h(-10). Suppose 3*o = | {
"pile_set_name": "DM Mathematics"
} |
ts digit of c?
9
Suppose 5*g = -5*r + 20, 3*g + 27 = 3*r + 9. Suppose s + r = -1. What is the units digit of 1*2/(s/(-33))?
1
Suppose 3096*u - 210 = 3089*u. What is the units digit of u?
0
What is the units digit of (-9)/(-54) + (-76342)/(-12)?
2
What is the hundreds digit of -5 + (-2 + 1455 - (0 + 2))?
4
Let w(f) = -3*f + 27. Let h be w(8). What is the units digit of h - 2 - 1 - -71?
1
Let n(v) = 3 - 10 + 1 - 2*v + 3. Let b be n(-4). What is the tens digit of (b/3)/(13/507)?
6
Let p(o) = 34*o - 3. Let d be p(2). Let z = d + -29. What is the units digit of z?
6
What is the tens digit of (3 - (-64)/(-2))*-1?
2
Let c be ((-546)/(-4) - 3) + (-2)/(-4). Suppose 0 = -3*j + 5*v + c, -j - v + 48 = 14. What is the units digit of j?
8
Let d be ((-51)/17)/(6/44). What is the tens digit of (-1 - d/18) + 1742/18?
9
Suppose -935 = -15*r + 10*r. What is the units digit of r?
7
Suppose -62 = 3*n + 4*q + 60, -2*n = q + 83. Let b = 88 + n. What is the units digit of b?
6
Let t(v) = -200*v + 39. What is the hundreds digit of t(-4)?
8
Suppose 2*p - 424 = 340. What is the hundreds digit of p?
3
Let m be 2*(2 - -4)/3. Suppose -m*i + 68 = 5*n, -i + 16 = i - 2*n. What is the tens digit of i?
1
Let m be (-22)/(-1) - (-18 - -21). Suppose -12*g + m*g - 469 = 0. What is the units digit of g?
7
Suppose -7*w + 2770 + 17908 = 0. What is the thousands digit of w?
2
Suppose -t + 9 = -c - c, -5*t + 15 = -4*c. What is the units digit of ((-66)/c)/((-7)/(-35))?
6
What is the tens digit of 11 + 1412 - (-60)/6?
3
Suppose -36 = -0*x - 6*x. Let v be (-1)/3 - (-20)/x. Suppose 0*q + 15 = v*q. What is the units digit of q?
5
Let i = -2168 - -3181. What is the thousands digit of i?
1
Suppose -61 = -x - 2*g + 30, 5*g = 0. Suppose 0 = -88*z + x*z - 1044. What is the units digit of z?
8
Let h = -6621 - -12798. What is the tens digit of h?
7
Suppose -4*t - 3*p + 3284 = 0, -4*t - p + 3284 = -0*p. What is the hundreds digit of t?
8
Let j(t) = t**2 - 7*t + 8. Let k be j(4). What is the units digit of (-117 - -1)/k + -2?
7
Suppose 0 = 2*s + 1 - 5. Suppose -12 = -4*m + s*f, -3*f = 2*m + 5 - 3. Suppose -3*h = m*c - 50, 0*c = 4*h - c - 74. What is the tens digit of h?
1
Let n(r) = 10*r**2 - r - 23. What is the units digit of n(-5)?
2
Let x(c) = 61*c**2 - 21*c - 7. What is the hundreds digit of x(3)?
4
Suppose 0 = -r - 7*r + 56. Suppose -r*z + 0*z + 770 = 0. What is the hundreds digit of z?
1
Suppose -1487 = -53*t + 48*t + 4*w, 3*t + 2*w - 879 = 0. What is the tens digit of t?
9
Suppose 6*v = -11*v + 34. Suppose -70 = -v*h - 3*t, -7 = -h + 5*t + 28. What is the units digit of h?
5
Suppose 0 = -2*z - 5*s + 1228, z - 836 + 211 = 3*s. What is the tens digit of z?
1
Let x = -139 - -316. Suppose x - 1 = 4*z. What is the units digit of z?
4
Let b(s) be the first derivative of 3*s**3/2 - 3*s**2/2 + 9*s + 6. Let k(n) be the first derivative of b(n). What is the units digit of k(1)?
6
Suppose -4*s - s + 2*l = -54, 0 = -3*s - 3*l + 45. Let z = 14 - s. What is the units digit of (-3)/z*(-60)/18?
5
Suppose 0 = -4*b - 3*v - 6 + 33, -5*b + 30 = 3*v. Suppose -h + 104 = 4*k, b*h - 88 = -4*k - 2*h. Suppose s - 4 = k. What is the units digit of s?
1
Suppose 28*u = -4*u + 11456. What is the tens digit of u?
5
Let j(k) = -k**3 + 9*k**2 - 3*k + 30. Let u be j(9). Let d be 5*(-1 + 54/10). Suppose -u*c = -c - d. What is the tens digit of c?
1
Suppose 0 = -4*u - 0*u - 5*i - 57, 2*u - 2*i = -42. Let m = u - -13. Let o = 7 - m. What is the units digit of o?
2
Let u(r) be the second derivative of r**3/6 + 3*r**2/2 + 3*r - 8. Let n be -1*(0 - 6/2). What is the units digit of u(n)?
6
What is the units digit of 2665/12 + (-40)/480?
2
Let q(a) = a**3 - 20*a**2 + 4*a - 42. Let j be q(20). Let b = 55 - j. What is the tens digit of b?
1
Let a(d) = -d**2 + 8*d + 13. Suppose c + l = 4, 3*c + 2*l - 3 - 13 = 0. Let u be a(c). Suppose -u = 4*z - 149. What is the units digit of z?
4
Let g(v) = 768*v**2 - 4*v + 2. What is the units digit of g(1)?
6
Let g = 34 - 31. Suppose -2*f = 2*m - 84, -3*m + m + 81 = g*f. What is the units digit of m?
5
Let y = 10 - 10. Let z be 1*((2 - y) + 0). What is the units digit of (12/z)/((-33)/(-44))?
8
Suppose -4*l = l, f - 5*l - 2 = 0. Suppose -6*i = -142 - f. What is the tens digit of i?
2
Suppose -198 = -5*o + 222. What is the units digit of o?
4
Suppose -8217 = -31*x + 7934. What is the hundreds digit of x?
5
Suppose -162*d = -142*d - 41020. What is the tens digit of d?
5
Let n(s) = -73*s**2 - 2*s - 1. Let m(k) = 145*k**2 + 3*k + 1. Let t(f) = -3*m(f) - 5*n(f). Let h be t(-1). What is the units digit of h/(3/(-1))*1?
3
Let h(m) = -12*m**3 + 13*m**2 + 51*m + 7. What is the thousands digit of h(-5)?
1
Let j be (0/4)/(0 - 1). Let r = 2 - j. What is the units digit of r + -2 + 1 + 5?
6
Let f(y) = -2*y - 13 - 13*y + 0*y. What is the tens digit of f(-3)?
3
Let c(o) = 14*o + 1. Let q(d) = 71*d + 4. Let z be (-3)/12 + 86/(-8). Let k(f) = z*c(f) + 2*q(f). What is the tens digit of k(-2)?
2
Suppose -k + 6 - 4 = 0. Suppose 4*s - 136 = q, -k*s = 11*q - 10*q - 68. What is the units digit of s?
4
Suppose -a + 2*k - 41 = 0, 147 = -3*a + 3*k - 5*k. Let b = a - 9. Let l = 81 + b. What is the tens digit of l?
2
Let u(r) = -2*r**2 - 38*r + 2. What is the units digit of u(-14)?
2
Suppose b = 4*b. Suppose -3*v = 2*s - b - 11, -4*v = s - 13. What is the units digit of s?
1
Suppose -3*x - 2*x + 135 = 0. Suppose -l = d - 0*l - x, -d + 33 = -5*l. What is the units digit of d?
8
Suppose 4*g = 58 + 34. Suppose 0 = -26*x + g*x + 12. What is the units digit of x?
4
Let t(w) = w + 23. Let j be t(-12). Suppose -7*y + j*y + 112 = 0. Let s = -26 - y. What is the units digit of s?
2
Let o = -4589 - -7390. What is the units digit of o?
1
Let m(d) = 43*d**2 - d. Let j be m(1). Suppose c - j = -5*u, 0 = -2*c - 2*u - 14 + 114. What is the tens digit of c?
5
Suppose 3*w + 2*v = 8426, 13*w - 12*w - v - 2802 = 0. What is the units digit of w?
6
Suppose 0 = 5*p - 12 + 2. Suppose z = 4*c, p*c = 5*z - 35 - 1. Suppose -2*m - 3*n = 18 - 58, 0 = -4*n + z. What is the units digit of m?
7
Suppose 0 = 26*l + 38*l - 314112. What is the hundreds digit of l?
9
What is the hundreds digit of (-26)/(-65) + (-2366)/(-10)?
2
Let q(l) = 18*l + 660. Let p be q(0). Let x = -410 + p. What is the hundreds digit of x?
2
Suppose 15 = -z + 23. Suppose -z*y = -5*y - 189. What is the tens digit of y?
6
Suppose -3*z + 304 - 53 = -5*u, -4*z + 2*u + 344 = 0. What is the units digit of z?
7
Suppose 71*h + 3153 = 74*h. What is the hundreds digit of h?
0
Suppose -33 - 47 = -5*n. Suppose 0 = -5*p + 4*o + n, 2 = 3*o - o. Suppose -p*a = -0*a - 32. What is the units digit of a?
8
Let n = 25 - 58. Let f be (-44)/n - (-4)/6. Suppose -f*v = -2*i + 36, -4*v = 4*i - 111 + 15. What is the tens digit of i?
2
Let w = -507 - -500. Let g(z) = -z**3 - 6*z**2 - 4*z + 4. Let f be g(-6). Let o = w + f. What is the tens digit of o?
2
Let k = -203 - -206. What is the units digit of k?
3
Let o be 91/(-5) + 1/5. Let t = -7 - o. Suppose -1 = -2*f + t. What is the units digit of f?
6
Let y(w) = -19*w**3 + 2 - 3*w**2 - 4*w - 22*w**3 + 7*w**2 + 43*w**3. What is the tens digit of y(2)?
2
Let k(s) be the second derivative of -1/20*s**5 - 6*s + 0 + 5/2*s**2 + 2/3*s**4 - s**3. What is the tens digit of k(3)?
3
Let n(a) = -a**3 - 4*a**2 - 1. Let b be n(-4). Let l(u) = -u**3 - 9*u**2 - 11*u - 13. Let s be l(-8). Let j = b + s. What is the tens digit of j?
1
Let v(g) = -g**3 + 4*g**2 - 2*g + 11. Let m be v(4). Let d(c) = 5*c**2 + 2*c - 6. What is the tens digit of d(m)?
4
Let z = 8205 - 4228. What is the units digit of z?
7
Let t(s) be the first derivative of -3*s**2/2 + 9*s - 8. Let q be t(0). Suppose -q = -4*m + 15. What is the units digit of m?
6
Let i = 6 - 9. What is the units digit of (4 - (-30)/i)*-1?
6
Suppose 2*r - 63 = 1493. What is the units digit of r?
8
Suppose 0 = -4*y, -3*y + 0*y - 124 = 4*l. Suppose -g + 5 = 21. Let v = g - l. What is the tens digit of v?
1
Let h(x) = 2*x**2 + 10*x - 9. What is the tens digit of h(14)?
2
Let g(m) = m**2 + 13*m - 9. Let h be g(-13). Let f be 0 + -1 + (-16 - h). What is the tens digit of 138/9*(-12)/f?
2
What is the units digit of 118 - (9/15 - 6/10)?
8
Suppose -3*d - 2*h + 2885 = -496, 2*d + 3*h = 2259. What is the tens digit of d?
2
Suppose -8*m - 444 = | {
"pile_set_name": "DM Mathematics"
} |
c) be the first derivative of c**3/3 + 5*c**2/2 + 10*c - 1. Is f(g) composite?
True
Suppose -2*d + 1955 - 669 = 0. Suppose -5*m + d = -4*o, -m - 3*m + o + 510 = 0. Is m prime?
True
Let d = 14 - -1. Let j = d + 98. Is j a prime number?
True
Let o be (1 + -3)/(2/3). Is ((-2)/(-6))/(o/(-171)) a composite number?
False
Let k = 240 + 104. Let a = k + 143. Is a a composite number?
False
Is (27 + -13)*2/((-8)/(-106)) composite?
True
Let j = -21 + 15. Is 62/j*(-5 + 2) a composite number?
False
Let q(g) be the first derivative of -g**4/4 - g**3 - 5*g**2/2 + 4*g - 3. Is q(-6) prime?
False
Suppose -4*d + z - 1 + 5 = 0, -3*z - 12 = 3*d. Suppose 3*h - 28 - 221 = d. Is h a prime number?
True
Suppose v - 5*x + 166 = 0, 3*v + 225 = -3*x - 237. Is (-24)/v + (-8498)/(-26) a composite number?
True
Let x(m) = m**3 - 4*m**2 + m - 5. Let r be x(4). Is ((-633)/(-12))/(r/(-4)) a prime number?
True
Suppose 5*g = 4*p - 2*p + 20, -3*p = 0. Let v(a) = 2*a**3 - 5*a**2 + 5. Is v(g) composite?
False
Let o(k) = -k**2 - 7*k + 10. Let c be o(-8). Let i be ((-4)/2)/(-2)*c. Suppose -i*b - 82 = -684. Is b prime?
False
Suppose 4*j - 12 = 0, -9 = 3*t - 4*j + j. Suppose 0 = -t*f - 5*f + 2515. Is f a prime number?
True
Let c be (-6412)/(-10) - (-11)/(-55). Suppose 2*j + f = c, 5*j - 3*f - 661 = 3*j. Is j a composite number?
True
Suppose -k = k - 2, 2*w - 108 = -2*k. Is w a prime number?
True
Let d(z) = -z**3 - 6*z**2 + 3*z - 7. Let b be (42/24)/(2/(-8)). Is d(b) composite?
True
Let g be (2 - 0)/(6/3). Let t be (g*8)/(6 - 4). Suppose -47 - 5 = -t*z. Is z composite?
False
Let h(d) = -3*d**3 + 28*d**2 + 3*d + 39. Let q(j) = -j**3 + 14*j**2 + 2*j + 20. Let x(a) = 2*h(a) - 5*q(a). Is x(-15) prime?
True
Let t = 6 - 3. Suppose 0 = -w + t*w - 382. Is w a prime number?
True
Is (-1080 + -4)/(-9 - -7) a composite number?
True
Suppose 5*d + 559 = -5*w + 1474, -4*d - 584 = -3*w. Suppose -6*o = -2*o - w. Is o prime?
True
Suppose -3*x + 4 = -5. Suppose -x*i - 75 = -8*i. Is i a composite number?
True
Suppose 5*b + 1162 = 7*b. Is b a prime number?
False
Suppose 2*x + 352 = 3*x. Suppose -4*u + x = -464. Suppose g + 2*g = 2*h + 201, 3*g - 3*h - u = 0. Is g composite?
True
Let k(i) = -79*i - 5. Suppose -4*b + 8 = -2*b. Let u be k(b). Is 4/(-10) - u/15 a prime number?
False
Suppose 0 = 3*u + u + 5*v - 1642, -3*u - 5*v + 1229 = 0. Is u composite?
True
Let w be -1 + 0 - (-3 - -1). Let b(d) = 253*d**2 - d + 1. Is b(w) a prime number?
False
Let a = 3 - 1. Suppose 0 = -3*r - 2*r. Suppose 0*k + 232 = 4*p - 4*k, 4*p + a*k - 202 = r. Is p a prime number?
True
Let c(z) = -z - 21. Let b(i) = -7. Let o(j) = -7*b(j) + 2*c(j). Suppose 0 = 3*t + 10 + 8. Is o(t) a composite number?
False
Let z = 12 + -111. Suppose 3*k = 3*h - 9, 0 = -k - 2*h - h - 15. Is ((-20)/k)/((-6)/z) a composite number?
True
Let v(u) = -6*u + 1. Let q(j) = -j. Let b(t) = 20*q(t) + 5*v(t). Is b(-7) composite?
True
Is 2 - (2247/(-27) - 14/(-63)) composite?
True
Let l = -1549 + 2271. Suppose 5*a + 207 = l. Is a composite?
False
Let f = 10 - 5. Suppose -4*h - 140 = -4*y, h - 140 = f*h - 3*y. Let i = 56 - h. Is i composite?
True
Let l be (0/(0 - 2))/(-3). Suppose l*k + 4*k = -w + 21, 123 = 3*w - 3*k. Is w composite?
False
Let z(j) = 4*j**2 - 2*j**2 - 3*j**2 - 1. Let b(g) = -5*g**2 + 15*g - 1. Let o(u) = -b(u) + 6*z(u). Is o(-6) a prime number?
False
Suppose 5*s - 690 = 2*k - 2491, 0 = -k - 5*s + 908. Suppose -4*t + k = -481. Is t a prime number?
False
Let v(h) = 5*h. Let y(d) = -18*d + 1 - 4*d + 6*d. Let i(g) = 7*v(g) + 2*y(g). Is i(4) a composite number?
True
Let r be (-1 + (-22)/(-6))*-6. Let c be ((-29)/2)/(4/(-8)). Let u = c + r. Is u composite?
False
Suppose 0 = -9*s + 8*s + 203. Is s prime?
False
Suppose 5*w + 3 = 28. Suppose 4*c + 156 = -y + w*y, 4*c - 188 = -4*y. Is y composite?
False
Let i(v) = -3*v. Let g be i(-2). Is (-635)/(-3) - g/9 composite?
False
Let i be (24/(-20))/(6/(-15)). Suppose -i*s + 40 = s. Is s composite?
True
Let w be ((-8)/(-6))/(4/1188). Suppose -32 + w = 4*g. Is g prime?
False
Let w(o) = 5*o**3 + 7*o**2 + 10*o + 10. Let a(l) = 6*l**3 + 7*l**2 + 11*l + 11. Let q be ((-12)/(-8))/((-6)/16). Let d(g) = q*a(g) + 5*w(g). Is d(-5) prime?
False
Suppose 2*x + 5*b - 1624 = -362, 5*b = -20. Is x a prime number?
True
Let f be 6/(-4)*8/(-6). Suppose -245 = -f*s - 3*s. Is s prime?
False
Let m = -112 + 246. Is m a prime number?
False
Let c be 1 + -1 + (3 - 2). Is (2 - c) + (30 - 0) composite?
False
Let v(c) = -182*c**3 - c. Let s be v(-1). Suppose -4*j = -s - 157. Suppose -260 = -5*a - j. Is a prime?
False
Suppose 0 = 3*g + 2*g. Let z be (g - 3)*(-108 - 3). Suppose z + 712 = 5*l. Is l a prime number?
False
Suppose -c - c - 6 = 0. Let q be (-1 - c)*1 - -11. Suppose 162 = 5*d - q. Is d prime?
False
Suppose 5*p = l - 116, 5*p + l + 100 = p. Let j = p - -11. Is j*(0/2 + -1) prime?
True
Suppose 9*t - 7022 - 1771 = 0. Is t a prime number?
True
Suppose 83*z + 365 = 84*z. Is z prime?
False
Suppose 85 = -5*n + 10. Is n/(-5)*7/1 a composite number?
True
Let w(x) = x**3 + 7*x**2 - x - 9. Let u be w(-7). Let i = u + 4. Suppose -5*d - c + i*c = -724, 0 = -2*d - 4*c + 294. Is d a composite number?
True
Let m(k) be the first derivative of k**4/4 - 4*k**3/3 - 4*k**2 + 6*k + 6. Is m(7) a prime number?
True
Let r(m) = -21*m**3 - 2*m**2 + m - 1. Let o be r(-2). Suppose -o = -2*j + j. Is j prime?
True
Suppose 4*g - 5*h = -20, -3*g + 5*h - 12 = 2*h. Suppose -4*p = -r + 4*r - 377, -3*r + 5*p + 386 = g. Is r a prime number?
True
Let d be (-2)/3*(-5 + 2). Let t be -10*(-2)/d*13. Suppose 4*g = -g + t. Is g a prime number?
False
Let i be (0/(2 - 1))/1. Is 3*(i + 19/3) a composite number?
False
Let l = 12 + -7. Suppose -l*b + 2*n = -641, -2*b = -b - 4*n - 139. Is b a prime number?
True
Let s(z) = -7*z**2 + 5*z + 19. Let m(r) = -3*r**2 + 3*r + 9. Let v(a) = -5*m(a) + 2*s(a). Let q = -1 + -4. Is v(q) composite?
False
Let a = 4 + -7. Let r(j) = j**3 + 4*j**2 + 4*j. Let m be r(a). Let c = m + 10. Is c composite?
False
Suppose -6034 = -4*j + 10. Is j a prime number?
True
Let f(v) = 27*v**2 - 8*v - 3. Is f(6) a composite number?
True
Let l = 97 - -90. Is l prime?
False
Let n be 1/(24/(-9) + 3). Suppose 0 = 4*z + n*h - 228 - 201, 545 = 5*z + 2*h. Is z a composite number?
True
Suppose 2*i - 10 = -0*i. Let g(b) = 65*b + 2. Is g(i) prime?
False
Let y(j) = -j**2 + j + 1. Let x(q) = -3*q**2 - 3*q - 10. Let z(w) = x(w) - 5*y(w). Is z(11) a prime number?
True
Let k(b) = -b + 10. Let w be k(9). Is -1 + 2 - w - -33 a prime number?
False
Suppose 5*r - 2*p = 485, -3*r = r + 5*p - 388. Is r prime?
True
Suppose 0 = -4*v + 7 + 9. Suppose 5*n + 4*t = -0*t + 53, -5*n + 77 = -v*t. Is n composite?
False
Let p(l) = -11*l + 3. Let r(y) = 4*y + 1. Let k be r(-1). Let i be p(k). Let o = i + -26. Is o prime?
False
Let s = 4437 + -2688. Let g = 2470 - s. Is g prime?
False
Suppose 0 = w - 5*b - 4, 0 = 4*w - 0*b + b + 89. Let a be (-6)/w - (-298)/(-14). Let q = -10 - a. Is q a composite number?
False
Let x(w) = -w**3 - 8*w**2 + 23*w + 45. Is x(-14) composite?
True
Let x = 12 - 7. Suppose s - 187 = -x*w - 0*w, -2*w = 2*s - 78. Is w prime?
True
Let v = 80 - 45. Is v prime?
False
Suppose 5*b - 3*b - 254 = 0. Is b a composite number?
False
Suppose -9852 = 10*w - 14*w. Is w a prime number?
False
Suppose 0 = -k - k + 10. Suppose -l = k*g, l = -4*l. Is 1 - 64/(g + -1) prime?
False
Let l be ((-2)/4)/(2/12792). Is (-3)/15 - l/15 a composite number?
True
Suppose -3*z - 2 = -h, 5*h + 5*z - 20 = 2*h. Suppose -h*d + 29 - 9 = 0. Suppose d*f + 7*y = 3*y + 92, 2*y - 109 = -5*f. Is f composite?
True
Let o(q) = -2 + 13*q - 1 + 7*q. Is o(4) a composite number?
True
Suppose 3*h = -0 - 3. Let d be (4 + -4)*h*1. Suppose 2*j - 7*j + 143 = 4*r, d = 4*r - j - 149. Is r composite?
False
Suppose -r - 4*r = 0. Suppose -5*i + 2 + 23 = r. Suppose -i*g - 3*u = -0*g - 77, -4*g - 3*u + 64 = 0. Is g prime?
True
Let o be (-10 - -12) + (-8 - 0). Is 411 - -1 - (o - -5) prime?
False
Let j(s) = -s**3 - 2*s**2 + 2*s - 2. Suppose 0 = 4*i + 5 + 7. Let p be j(i). Is 232/10 - p/5 a prime number?
True
Let n = -7 + 11. Let x be ((-2)/n)/((-1)/(-14)). Is (-6 - 5)*1*x a prime number?
False
Is (4 - 3)*3 - -158 a composite number?
True
Let d = -19 - -9. Let o be (-4)/(-3 + d/(-4)). Is 6/o + 770/8 prime?
True
Let a be -1*18*(-3 + 2). Let y | {
"pile_set_name": "DM Mathematics"
} |
. Let w be x*(n + 0/1). What is the greatest common factor of 20 and w?
10
Let z(y) = -2*y**2 - y + 30. Let q be z(0). Suppose 0 = 6*t - 114 + q. What is the highest common divisor of t and 70?
14
Suppose 0 = 27*u + 1667 - 16787. Calculate the greatest common divisor of 100 and u.
20
Suppose 39*b - 72 - 903 = 0. Calculate the highest common divisor of b and 25.
25
Let m(k) be the first derivative of -k**2/2 - 6*k + 3. Let a be m(-13). Suppose -y + 3 = -a. What is the highest common factor of 4 and y?
2
Suppose 4*f - f - 4*w - 135 = 0, -4*f - w + 161 = 0. What is the greatest common factor of 123 and f?
41
Let f = 0 - -372. What is the greatest common factor of 12 and f?
12
Suppose -5*o - 4*p + 525 = 0, 5*p - 244 - 71 = -3*o. Calculate the greatest common divisor of o and 90.
15
Let n(y) = -37*y - 6. Let l be n(-3). What is the highest common factor of l and 875?
35
Suppose 0 = -3*w, -111 = -3*q - 0*w - 3*w. Let j = 136 - q. What is the highest common factor of j and 11?
11
Let c(p) = -4*p - 17. Let j be c(-5). Suppose -j*h = -381 + 51. Calculate the greatest common factor of h and 10.
10
Let f = 79 - 68. Suppose -2*a - f + 147 = 0. What is the highest common divisor of a and 170?
34
Suppose -14*f - 270 = -32*f. Let j(l) = l**3 + 2*l**2 - 2*l + 1. Let c be j(-2). What is the highest common factor of f and c?
5
Let y(q) = 3*q + 13. Let p be y(-3). Suppose -l = -p*l + 5*o + 268, o = -2. What is the highest common divisor of l and 129?
43
Let o(n) = -n**3 + n**2. Let u(b) = 101*b**3 - 4*b**2 + b. Let x(k) = 3*o(k) + u(k). Let f be x(1). What is the greatest common factor of 28 and f?
14
Let n(p) = -p**2 - 13*p - 11. Suppose -55 = -b + 6*b. Let f be n(b). Let w = 158 + -114. What is the highest common factor of f and w?
11
Let g = -14 - -15. Let r be (g*93)/(12/8). Let o = -44 + r. Calculate the greatest common factor of o and 45.
9
Let q(o) = 2*o**2 - 9*o + 13. Let c be q(4). Calculate the greatest common divisor of c and 171.
9
Suppose 6*p + 2*g + 562 = 10*p, p - 130 = -3*g. What is the greatest common divisor of p and 2?
1
Let b(d) = -d**3 + 5*d**2 + 4*d + 3. Let j be b(-3). Calculate the greatest common factor of 27 and j.
9
Let r be 9 + 104/(9 - 1). Calculate the greatest common factor of r and 11.
11
Let p be 632/10 + 7/105*-3. What is the highest common factor of p and 147?
21
Suppose 0 = -8*g + 10*g - 320. Calculate the highest common divisor of 20 and g.
20
Let v be ((-60)/(-45))/(2/249). Let r be v - (2 - 0) - 2. Suppose -49 = -10*p + 131. Calculate the highest common divisor of r and p.
18
Suppose 4*p + 2*v = 26, 5*v + 8 - 13 = 0. What is the highest common divisor of p and 111?
3
Let y = 1253 - 1099. What is the highest common factor of y and 14?
14
Let r be (80/24)/((-4)/(-3))*96. Calculate the greatest common divisor of 45 and r.
15
Let h(p) be the second derivative of -p**4/12 + 17*p**3/6 - 5*p**2/2 + p. Let r be h(16). Let f = r - 8. What is the highest common factor of f and 15?
3
Let r(k) = -k**3 + 9*k**2 - 7*k + 12. Let g be r(8). Suppose -3*u = -2*q + g, 6*u - u + 38 = 4*q. What is the highest common divisor of q and 35?
7
Let t be (1 - 1)/(-4 - -1). Suppose 4*b - 5*h - 561 = t, 0 = -3*b + 2*h - h + 429. Let r = 11 - -5. Calculate the greatest common divisor of r and b.
16
Let k = 1 + 3. Suppose 2*s = k*s - 4. Let t(y) = 17*y**2 + 5*y + 2. Let q be t(-1). Calculate the greatest common divisor of q and s.
2
Suppose -96917 = -107*p + 165340. Calculate the highest common divisor of 129 and p.
129
Suppose 11 + 25 = 3*l. Let b(i) be the first derivative of -53*i**2/2 + 14*i - 26. Let k be b(-2). Calculate the highest common divisor of l and k.
12
Let l(w) = w**3 - 5*w**2 - 6*w - 5. Let x be l(6). Let t be (-1)/(0 - (-1)/x). Let q be (-20)/(-8) - 10/20. What is the greatest common divisor of q and t?
1
Suppose -174*t + 178*t = 88. Calculate the greatest common factor of t and 8.
2
Let r be (1 - (1 + (-42)/(-98)))*1*-7. Let n = 0 + 1. Let z(g) = 26*g + 1. Let i be z(n). Calculate the highest common divisor of i and r.
3
Let q(x) = -20*x**2 - 17*x - 36. Let u(d) = -7*d**2 - 6*d - 12. Let m(t) = -6*q(t) + 17*u(t). Let a be m(0). Calculate the greatest common factor of a and 132.
12
Let q(h) = h - 1. Let v be q(11). Let i = 15 - v. Suppose 5*k - 97 = -i*a + 23, -5*k + 57 = 2*a. What is the highest common divisor of a and 168?
21
Let j(z) = 7*z - 49. Let f be j(19). Let y(l) = 20*l - 4. Let x be y(3). Calculate the highest common factor of f and x.
28
Suppose -5*g = -11 + 91. Let n = g + 19. Let w(b) = 4*b**3 + b**2 - 2*b + 1. Let j be w(n). What is the highest common divisor of 14 and j?
14
Let a be (22/5)/((-1)/(-15)). Let h be 0 - -98 - (5 - 12)/7. Calculate the highest common factor of h and a.
33
Let j(d) = 2*d**2 - 6*d + 3. Let r be j(5). Let v be (3 + -4)/(2/(-548)). Let n = -113 + v. What is the greatest common divisor of n and r?
23
Let l(r) = -59*r + 23. Let q be l(-12). What is the greatest common divisor of q and 86?
43
Let w(r) = -7*r**2 - 3*r**3 + 0*r**3 + r**3 + 6 - 3*r. Let s = 517 - 522. Let c be w(s). What is the greatest common factor of 12 and c?
12
Suppose a = -3*a + 20. Let p(x) = x**2 - 1. Let o be p(-2). Suppose -o*y = -196 + 61. Calculate the highest common divisor of a and y.
5
Let r be -114*((-4)/(-26) - (-72)/208). Let l = -29 - r. Calculate the highest common factor of l and 196.
28
Let y be 18 + (6 - 3) + -6. Let x = -11 + y. Let p = x + 0. What is the greatest common factor of 36 and p?
4
Let v = -11 + 27. Let y = 242 - 242. Let p be (2 + y/2)/(39/1248). What is the greatest common factor of p and v?
16
Let v(m) = -m**2 + 9*m - 1. Let r = 10 + -4. Let l be v(r). Suppose -3*h + 2*i = -351, 5*h = i - 3*i + 601. Calculate the highest common divisor of h and l.
17
Let f = 55 - 30. Let n = f + -15. What is the greatest common factor of 50 and n?
10
Let s(t) = -46*t + 11. Let m be s(0). Calculate the greatest common divisor of m and 209.
11
Let h = 493 - 343. What is the greatest common factor of 6 and h?
6
Let h = -8 + 20. Suppose -2*f = 4*t - 200, 2*f = -3*t - 0*t + 152. What is the greatest common factor of t and h?
12
Suppose -669 = -3*c + 3*i, -c - 24*i + 233 = -20*i. Calculate the greatest common divisor of 90 and c.
45
Let i = -519 - -558. What is the greatest common divisor of i and 91?
13
Let r(t) = 22 - t - 46 + 83. Let l be r(-21). What is the highest common factor of l and 5?
5
Let r(h) = h**3 - 6*h**2 + h - 1. Let v be r(6). Let t be 110/(-33)*(-120)/20. Calculate the highest common divisor of t and v.
5
Suppose 3*c - 621 = -4*l, 2*l - 328 = c + c. Suppose 2*x - 61 = -3*d, 0 = -5*x + 4*d - 5*d + l. Calculate the highest common divisor of 8 and x.
8
Suppose 3*i = -4*s + 644, -3*i + 4*s = -s - 599. What is the highest common factor of i and 182?
26
Let i(x) = 9 - 155*x + 75*x + 78*x. Let l be i(-8). Let k be (-2)/(-5) - (-23)/5. Calculate the highest common divisor of k and l.
5
Let t = 16 - 11. Suppose 0 = t*r + 33 - 323. Suppose -r = -5*s + 47. Calculate the highest common divisor of s and 3.
3
Let c be (-83)/(-3) + 5/(75/20). What is the highest common factor of 435 and c?
29
Suppose 5*z - 2153 - 157 = 0. Calculate the highest common factor of 165 and z.
33
Let d be (-1)/(1/(-13)) + 0. Let c be -1*1/(-3 + 4). Let g = c + 92. What is the highest common divisor of d and g?
13
Suppose 0 = 17*x + 329 - 4086. What is the highest common factor of x and 39?
13
Suppose -7 = -x + 5*v, -5*x = -0*x - v - 59. Let g = x - -8. What is the highest common factor of 10 and g?
10
Let m be 3 - (-60 + (-8)/4). Let y = -108 + 121. What is the highest common factor of y and m?
13
Let y = -12 - -17. Suppose -4*f + 13 + 9 = -3*x, y*x + 4 = 2*f. Let w be 2 + f/(7/30). Calculate the highest common factor of 8 and w.
8
Suppose 9*x + 16 = 11*x. Suppose -4*b - 116 = -x*b. What is the greatest common factor of b and 203?
29
Let q be 1074200/700 + (0 - 8/14). Calculate the greatest common factor of q and 52.
26
Suppose -5*j = 4*x + 113, 0 = x - 2*x + 5*j - 22. Let q be (20*(-6)/(-36))/((-2)/x). What is the greatest common divisor of 5 and q?
5
Let r = -209 - -217. What is the highest common divisor of 16 and r?
8
Suppose -m = -26 - 9. Let x(a) = a**3 + 9*a**2 + 8*a + 1. Let b be x(-8). Let o be b*15 - (33 - 32). Calculate the | {
"pile_set_name": "DM Mathematics"
} |
e tens digit of g(16)?
0
What is the ten thousands digit of (16/48 - (-478)/(-12))/(13/(-13936))?
4
Suppose -5*t + 73 = -p + 16, t - 1 = -5*p. Suppose -286 - t = -i. What is the hundreds digit of i?
2
Let j(p) = p**2 + 2*p - 20. Suppose z = -0*z - 4*y + 15, -5*y + 6 = -3*z. Let w be (-10)/z*(0 - 3). What is the hundreds digit of j(w)?
1
Suppose 10496 = 5*m - 1189. Let b = -1489 + m. Suppose 7*n - b = -n. What is the units digit of n?
6
Suppose -28*o - 14*o + 15312 = -18*o. What is the units digit of o?
8
Let l(c) = -2*c - 3 - 10 + c - 7. Let k be l(-21). What is the tens digit of (-10 - -81) + -3 + 2/k?
7
Let r(f) = -3*f**3 + 2*f + 1. Let n = 29 - 21. Suppose -2*d + 4*d + n = 0. What is the hundreds digit of r(d)?
1
Let y(f) be the second derivative of -f**3/3 - 25*f**2/2 - 14*f. Let v be y(-23). Suppose -60 = -v*t + 18*t. What is the units digit of t?
0
Suppose 2*v + 3*b + 2337 - 398 = 0, -3*b = -9. Let c = 1750 + v. What is the hundreds digit of c?
7
Let l be ((-2)/(-3))/(6/9). Let m be 4*(-14)/196 + (-737)/(-7). What is the hundreds digit of (l + -3)*m*4/(-8)?
1
Let c(t) = -27*t - 12. Let h(g) = -g - 2. Let a(b) = -3*c(b) + 6*h(b). What is the hundreds digit of a(8)?
6
Suppose 0 = -76*x + 1374475 + 2873. What is the units digit of x?
3
Suppose -3*i + 28 - 16 = 0. Let w(v) = -5*v**3 + 48 + i*v**3 - v - 2*v**2 + 129 + v**2. What is the units digit of w(0)?
7
Suppose 3*l - y - 406 = 2337, 0 = l + 4*y - 897. Suppose 16*m - 17*m + l = 0. What is the tens digit of m?
1
Let t(a) = 0 + 3 + 138*a - 137*a - 4. Let z(m) = 8*m - 15. Let g(y) = 2*t(y) + z(y). What is the units digit of g(2)?
3
What is the thousands digit of 15538 + 369/63 + (5 - 1)/28?
5
Let v(u) be the first derivative of -u**4/4 + 8*u**3/3 - u**2/2 + 5*u - 3. Let p be v(8). Let k(b) = -3*b**3 - 5*b**2 - 7*b. What is the units digit of k(p)?
7
Let g = -11 + -14. Let z = -23 - g. Suppose -z*q = -6*q + 560. What is the tens digit of q?
4
Let y(c) be the first derivative of c**3 + 9*c + 15. Let l be y(9). What is the units digit of 1/(l/(-255) - -1)?
5
Let b be -1*(-8)/4 + 1. Let l be (-6)/(-3) - (-2 + (3 - b)). Suppose l*s - 2*s - 188 = 0. What is the units digit of s?
4
Let y = 4142 - 1465. What is the tens digit of y?
7
Suppose z - 282 = 884. Suppose 5*p = y + 21, 5*y + 186 = -4*p + 168. Suppose -5*n + z = -s, 0 = -p*n - 2*s - 3*s + 694. What is the hundreds digit of n?
2
Suppose -n + 4882 = s - 945, 23292 = 4*s + 12*n. What is the units digit of s?
9
Suppose -91*a + 92*a - 5*q - 16 = 0, 0 = -2*a - 2*q - 16. Let t(y) = 16*y - 2. Let d(s) = -s. Let j(i) = 10*d(i) - 2*t(i). What is the hundreds digit of j(a)?
1
Let h = 390 + 3580. What is the thousands digit of h?
3
Let o = 920 - 917. Suppose -5*n - o*p + 9869 = 0, 5*n - 37*p + 32*p = 9845. What is the thousands digit of n?
1
What is the hundreds digit of 10234/301*(-674)/(-4)?
7
Let o = 536 + -538. Let d(r) = 178*r**2 + 10*r + 24. What is the units digit of d(o)?
6
Suppose -313 - 4038 = -s. Suppose s + 4319 = 10*l. What is the units digit of l?
7
Suppose 3*t = 39*k - 42*k + 105471, -3*t - 70269 = -2*k. What is the thousands digit of k?
5
Suppose -4*u - 28 = -0. Let v be (-1)/4 + ((-1708)/16)/u. Suppose 13*r - v*r = -202. What is the units digit of r?
1
Suppose 2*g = -2*l + 10536, -g + 545 = 4*l - 4741. What is the units digit of g?
2
Let r = 45 + -42. Let p(o) = -7*o**3 + 0*o**3 - o**r + o**2 + 23*o**3 - 1. What is the units digit of p(1)?
5
Suppose 3*q - 2 = -23. Let s(n) = n**2 + 7*n + 15. Let l be s(q). Suppose l*k = 13*k + 372. What is the tens digit of k?
8
Suppose 891*l - 3*x + 4156 = 893*l, 0 = 2*l - 5*x - 4172. What is the thousands digit of l?
2
Suppose 6*m - 4*m + 3*x = 310, 606 = 4*m - x. Suppose -160 - m = 4*l. What is the hundreds digit of -3 + (-123)/(-39) + (-14886)/l?
1
Let f = 378 + -354. What is the hundreds digit of 162/f - 7 - 2645/(-4)?
6
Let r(o) = -o**2 - o + 9. Let t be r(-3). Suppose 3 - 6 = -t*s, -3*s + 5688 = 5*g. What is the tens digit of g?
3
Suppose 15*c - 2160 = 5*c. Let j = c - -147. What is the hundreds digit of j?
3
Let x(u) = -u + 2. Let o be x(-4). Let g(a) = 2*a**2 - 3*a - 4. Let n be g(o). Suppose -4*b = b - n. What is the units digit of b?
0
What is the units digit of ((-5580)/70)/(2452/616 - 4) + -6?
6
Let g be (-4 + (3 - 1))/(-1) + -201. Let b = 368 + g. What is the tens digit of b?
6
Let p = 399 + -389. What is the tens digit of ((-265)/p)/((-5)/10)?
5
Suppose -3*r = -9, -5*r + 13 - 4 = 3*u. What is the hundreds digit of u/21 - (-290925)/567?
5
Let q(a) = -a**3 + 4*a**2 - 6*a + 3. Let b be q(2). Let p be (-5 - (-5 + b))*-3. What is the units digit of (-2)/p*5976/48?
3
Suppose -13*n = -30*n + 52054. Suppose -19*s + 11346 = n. What is the units digit of s?
6
Let i(w) = -438*w - 4. Let s be i(-3). Suppose -11*d - s = -d. Let m = d - -290. What is the tens digit of m?
5
Suppose -2*k = 10, -3*q + 5*k - 4 = -41. Let p be 3/((-6)/(-2) + 0). What is the hundreds digit of p - q - (-125 + -5 - 6)?
1
Let q(b) = b**2 + 29*b - 47. Let p(r) = -2*r**2 - 57*r + 95. Let n(k) = -4*p(k) - 9*q(k). What is the units digit of n(-15)?
3
Suppose -i - 5545 = -4*t, 0 = -2*t + 3*i + 1788 + 987. What is the tens digit of (36/(-42))/((-3)/t)?
9
Suppose 3804200 = -67*i + 267*i. What is the hundreds digit of i?
0
What is the units digit of (252/(-8))/(-21)*(1 + 785)?
9
Suppose -11*y + 6*y + 15 = 0. Suppose -5*p - 1047 = -4*q, -p - 789 = -y*q + 4*p. What is the tens digit of q?
5
Suppose 5*z - 45 = -5*q, -4*q - 2*z - 10 = -6*q. Let s be ((-6)/2 - 0) + q - 4. What is the units digit of (-2)/((-12)/(-18)) - (s - 50)?
7
Let u be (-30236)/(-18) + 2/(-54)*-6. Suppose 7*n - 2*n + u = 4*a, -3*a + 1263 = -3*n. What is the hundreds digit of a?
4
Suppose -3*d - 60 = t, 0 = -5*t - 0*d + 2*d - 249. Let v = t - -159. Suppose -8*p = -12*p + v. What is the tens digit of p?
2
Let v(q) = 486*q - 1020. What is the tens digit of v(7)?
8
Suppose 3*c - 28833 = -5*k, 331 = -c + 337. What is the thousands digit of k?
5
What is the units digit of (3120 - 2/(-2)) + (-40)/(-4)?
1
Let g be (10 + -1744)/(1/(-1 - 1)). Suppose 0 = 8*r + 4*r - g. What is the units digit of r?
9
What is the tens digit of -1065*(24/(-3) + 6 + -3)?
2
Let w = 753 - 359. Suppose 3*n - w - 281 = 0. What is the hundreds digit of n?
2
Suppose 4*r - 41 = -33. Suppose -4 = 4*f, r*j + 2*f = -2*j + 2282. What is the units digit of j?
1
Let p be (-355)/426 - (-35)/6. What is the tens digit of 3462/12 - p/(-10)?
8
Suppose 18250 = 9*i - 38163 + 8470. What is the thousands digit of i?
5
Let c be -1 - (-15)/((-25)/5) - -5833. Suppose -3*f - 5*s + 9*s = -c, 2*f + 5*s - 3886 = 0. What is the tens digit of f?
4
Let q = -6363 - -8006. What is the tens digit of q?
4
Let b(g) = -15*g + 109. Let w be b(7). Suppose -118 = 12*d - 13*d - 5*y, w*d - 4*y - 568 = 0. What is the tens digit of d?
3
Let t be 42211/102 - (26/(-12) - -2). Suppose -6*p + 3090 = t. What is the hundreds digit of p?
4
What is the tens digit of 4/3 + (-12978)/(-189)?
7
Let c(y) = 128*y**2 + 10*y - 15. Suppose 5*o - 44 = 2*p - 38, -5*p - o = -12. What is the hundreds digit of c(p)?
5
Let j be 3/4*7128/243. Suppose 0 = j*k - 23*k + 1443. What is the hundreds digit of k?
4
Let r = 12566 - 5340. What is the thousands digit of r?
7
Let c be (4 + 1)/((-45)/(-18)). Suppose -5*a - 5*h - 5 = 0, -5*h = c*a - 8*h + 7. What is the tens digit of ((-1)/a)/(-1)*-278?
3
Let j(l) = -8*l**2 - l + 2. Let r be j(-2). Let k = 33 + r. Suppose 0 = -k*d + 250 + 160. What is the tens digit of d?
8
Suppose 3*n + 6*y + 12 = 3*y, -n = 4*y + 1. Let k be (-1)/(3/(45/n)). Suppose 2*w + k*i - 179 = 0, 12 + 0 = 4*i. What is the units digit of w?
5
What is the ten thousands digit of (5 + -10)*(-7 + 174/30) - -25762?
2
Suppose 6*c - 94787 = 5*i, -3*c - 5322 = 5*i - 52663. What is the thousands digit of c?
5
Let q be 24280/2 + (-3 - (3 + -8)). Suppose -22*n + q = -9*n. What is the hundreds digit of n?
9
Let v(p) = -2*p**2 - p + 2. Let t be v(4). Let z = -134 - -244. Let n = z + t. What is the tens digit of n?
7
Suppose 8*q - 11*q = 12. What is the units digit of q/(-14) - 2595/(-7)?
1
Suppose -9*j = -10*j + 190. Suppose -j*z + 1448 = -186*z. What is the units digit of z?
2
Let d be (-34)/(-14) - 9/21. Suppose -2*m - m - 2*z = 8, 4 = d*z. Let c = m - -140. What | {
"pile_set_name": "DM Mathematics"
} |
1
Suppose -12 = -40*u + 36*u. Suppose w = u*j - 169, -w = -2 - 3. What is the remainder when j is divided by 31?
27
Let y(r) = -22*r - 54. Calculate the remainder when y(-18) is divided by 23.
20
Let w(u) = -5*u**3 - 11*u**2 + 17*u + 3. Let o(f) = -3*f**3 - 7*f**2 + 11*f + 2. Let h(n) = 8*o(n) - 5*w(n). Calculate the remainder when 52 is divided by h(2).
8
Let g be (-192)/33 + (-6)/33. Let t(y) = 2*y**2 + y + 2. Calculate the remainder when t(2) is divided by g*1/2 + 8.
2
Suppose 5*a + 54 = 6*a. Let r be (0 - -2 - 2) + 57. Suppose h - r = -2*h. Calculate the remainder when a is divided by h.
16
Let w = -1970 + 1979. What is the remainder when ((-9)/(-3))/((-2)/(-6)) is divided by w?
0
Let h = 162 - 94. What is the remainder when 135 is divided by h?
67
Suppose t + 5 = 2. Suppose -1 + 16 = 3*g. Let p = g + t. Calculate the remainder when 5 is divided by p.
1
Suppose -4*z + s - 20 = 0, 0 = 3*z - 0*z - 5*s + 15. Let j be (-1 + -35 + 0)*76/(-114). Let v = j + z. Calculate the remainder when 35 is divided by v.
16
Let s(w) = -13*w + 185. Calculate the remainder when 111 is divided by s(13).
15
Suppose -4*g + 7*g = 180. What is the remainder when g is divided by 21?
18
Suppose -o = -5*t + 9*t - 84, -3*t = -o + 112. Calculate the remainder when 313 is divided by o.
13
Calculate the remainder when 446 is divided by -3 + 2 - (-99 + 7).
82
Let y(c) = 14*c**3 + 15 + c**2 - 4*c + 0*c - 13. Calculate the remainder when 77 is divided by y(1).
12
Let i(g) = 2*g**2 + 3 + g + g**3 - g**2 + 4. What is the remainder when -26*-2*(-4)/(-16) is divided by i(0)?
6
Let a be ((-16)/6)/(4/(-6)). Suppose -3*f - 5*k + 103 = -f, 0 = -4*f - a*k + 188. Calculate the remainder when f is divided by 9.
8
Suppose 5*c - a = 8*c - 242, -4*c = 5*a - 341. Suppose -30 = -h - 5. Let k = 45 - h. Calculate the remainder when c is divided by k.
19
Suppose -2*c = -3*b - 95, -5*b - 3 = -8. Let z = 65 - c. What is the remainder when 47 is divided by z?
15
Let f(g) = 9*g - 4. Let k(d) = 2*d**2 + 32*d - 164. What is the remainder when k(7) is divided by f(4)?
30
Suppose -5*p = 4*p + 279. Let k = p - -27. What is the remainder when (-998)/(-10) + k/(-20) is divided by 26?
22
Let f(d) = 37 - 24 + d + 2. Let k be 13*2*1/(-2). What is the remainder when f(k) is divided by 2?
0
Let i = 474 - 426. Calculate the remainder when i is divided by 3.
0
Suppose -100*k + 96*k = 12. Calculate the remainder when 122 is divided by (-4 - 10/k) + (-231)/(-9).
22
Let w = 2206 + -2190. Calculate the remainder when 327 is divided by w.
7
Calculate the remainder when -41*(1/(-2))/((-15)/(-30)) is divided by 7.
6
What is the remainder when 372/3*(-2)/(-4) is divided by 17?
11
Let z(b) = -b**3 + 15*b**2 - 13*b. Let h = 81 + -13. What is the remainder when h is divided by z(14)?
12
Let v = 151 - 108. Suppose 0 = 3*k - n - 70 + 8, 0 = -2*n + 8. Calculate the remainder when v is divided by k.
21
Let v = 36 - -7. Let m = 103 - -66. Calculate the remainder when m is divided by v.
40
Let z be (13/(-3) + -1)*-3. Let i(s) = s**3 - 17*s**2 + 17*s - 3. Calculate the remainder when i(z) is divided by 6.
1
Suppose v = 3*v - 116. Suppose 4*k - v = 5*f, 19 = -3*f + 4*k - 11. Calculate the remainder when f/49 - 261/(-7) is divided by 13.
11
Let k be (52/7 + -2)*7/1. Let o(u) = -u - 5. Let h be o(-8). Suppose h*w - k = w. Calculate the remainder when w is divided by 5.
4
Suppose -34 = -0*p - 2*p + 3*s, 0 = -2*p - 4*s + 20. Let j(y) = 3 + 2*y**2 - 10 - 4*y - 1. What is the remainder when j(6) is divided by p?
12
Let w = 18 - 12. Let f be (12/8)/((-2)/4). Let b(x) = -2*x - 2. What is the remainder when w is divided by b(f)?
2
Let j = -2232 + 2309. What is the remainder when j is divided by (0 - -1)/(1/16)?
13
Let b(w) = 3*w**2 + 6*w - 9*w**2 + 1 - 3*w**3 + 11*w**3 - 6*w**3. What is the remainder when 6 is divided by b(2)?
1
Let j(l) = l + 1. Let y(p) = 4*p + 8. Let a(f) = 3*f + 3. Let v be a(-3). Let u(i) = v*j(i) + 2*y(i). What is the remainder when 26 is divided by u(0)?
6
Let m = 151 - 98. What is the remainder when m is divided by ((-8)/2 - -5)*0 - -27?
26
Let m(w) = w**2 + 6*w + 3. Let f be m(-6). Suppose -f*k + x = -56, -4*k = 4*x - 54 + 6. What is the remainder when (-504)/(-10) - 4/10 is divided by k?
16
Let a be (-57)/((-44)/8 + 4). Suppose -4*d + a = -3*d. Calculate the remainder when d is divided by 8.
6
Suppose -3*n + 76 = -194. Suppose -3*m + n = 2*m. Let k = 161 + -93. Calculate the remainder when k is divided by m.
14
Calculate the remainder when 25597/187 + -5 + (-2)/(-17) is divided by 26.
2
Suppose 2*j = -8*j + 20. Let x(g) = 142*g + 2. Let r be x(4). Suppose 2*i - 237 = 5*d, 5*i - r = 7*d - j*d. What is the remainder when i is divided by 28?
27
Let m(y) = 3*y**3 - y**2 - 3*y - 1. Let a = -13 - -21. Let n be 5 + a/(-4) + 0. What is the remainder when m(n) is divided by 9?
8
Suppose 4*y - z - 2*z + 9 = 0, -3*y + 2*z - 6 = 0. Let x = 20 + y. Calculate the remainder when x is divided by 11.
9
Let j = -2 - -3. Let l = 6 - 4. Calculate the remainder when 45/60*(32/6)/l is divided by j.
0
Suppose 0 = -4*f - 39 - 13. Let t = 15 + f. Suppose -5*x - 6 = -t*x, 20 = 2*c - 4*x. Calculate the remainder when 15 is divided by c.
3
Suppose -10 = -5*w - 0*w. What is the remainder when (-52)/5*(w + -7) is divided by 11?
8
What is the remainder when 39 is divided by 4/26*40 - 36/234?
3
Let v(b) = b + 1. Let t = -66 - -96. What is the remainder when t is divided by v(7)?
6
Calculate the remainder when ((-1310)/20*4)/(-1) is divided by 66.
64
Let y(z) = -6*z + 53. Let p = 57 - 75. What is the remainder when y(p) is divided by 27?
26
Suppose k = t + 32, 13*k = 9*k + 3*t + 128. What is the remainder when 75 is divided by k?
11
What is the remainder when 144 is divided by 262/12 - (-5 - 29/(-6))?
12
Let z be -6*(-1)/(-6)*10. Let l(v) = -4*v - 27. What is the remainder when 38 is divided by l(z)?
12
Suppose q - 10 = -4*y, -4*y - 34 = 2*q - 58. Calculate the remainder when 180 is divided by q.
12
Suppose 3*k - 6*k + 60 = 0. Let d = 442 - 435. What is the remainder when k is divided by d?
6
Suppose -42*f = -45*f + 24. Calculate the remainder when 422 is divided by f.
6
Calculate the remainder when 56 is divided by 3 + 1 + 1*(4 + -5).
2
Let n(y) = 33*y - 456. Calculate the remainder when 298 is divided by n(14).
4
Suppose -5*f = -4*r + 3*r + 46, 0 = 4*r - 2*f - 130. What is the remainder when 146 is divided by r?
22
Suppose 5*g - 7 = o, 3*g - 48 = -4*o - 7. What is the remainder when o is divided by (19/(-6) - 47/(-282)) + 7?
0
Let x(h) = -h**2 - 4*h. Let g be x(-5). Suppose 0 = -3*o + 4*w + 50, -18 = -o - 0*o + 2*w. What is the remainder when 208/5 - (-3)/g is divided by o?
13
Calculate the remainder when (-14)/21 + (-4614)/(-9) is divided by 27.
26
Suppose 2*r + 8 = 0, -8*i - r = -5*i - 2. Suppose i*o + 5 = o, -3*v - 4*o + 37 = 0. Calculate the remainder when 37 is divided by v.
18
Let o(z) = -3*z - 9. Let w be o(14). Let m = -25 - w. Calculate the remainder when 77 is divided by m.
25
What is the remainder when 756 is divided by (-4275)/(-18)*12/30?
91
What is the remainder when (4 - 97)*(-2 - 1) - 7 is divided by 48?
32
Let u be 319/77 - 2/14. Suppose u*d = -3*d + 84. What is the remainder when 67 is divided by d?
7
Suppose 2349 = 3*f + 843. What is the remainder when f is divided by 72?
70
Suppose 4275 = 32*o - 5741. Calculate the remainder when o is divided by 63.
61
Let l = 153 - 107. Calculate the remainder when 133 is divided by l.
41
Suppose 0 = -5*w - 6 + 1. Suppose -58*c = -57*c - 4. What is the remainder when 14 is divided by 40/(-2)*w/c?
4
Let l = -87 - -116. Suppose -l*g + 18 = -26*g. Let v(f) = -f + 2. Calculate the remainder when g is divided by v(-2).
2
Let p(d) = -d**3 + 14*d**2 - 20*d - 18. Calculate the remainder when 58 is divided by p(12).
28
Suppose 3*o = -2*l - 7, -9 = 2*l + 1. Let u = 6 - o. Let z = u - -16. What is the remainder when z is divided by 12?
9
Let i(v) = 4*v**2 + 6*v - 23. What is the remainder when i(-4) is divided by 8?
1
Let d = 37 - 36. Let y(l) = 59*l**2 - 2*l. What is the remainder when y(d) is divided by 29?
28
Let a = 18 + -59. Let d = 43 - a. What is the remainder when d is divided by 43?
41
Let u be (-12)/7 + (-4)/14. Let x(y) be the first derivative of -19*y**2/2 + y - 9. What is the remai | {
"pile_set_name": "DM Mathematics"
} |
and o?
1
Suppose 48 = -5*l - 267. Let s = 8766 - 8801. Let t = s - l. Calculate the highest common factor of 84 and t.
28
Suppose -4*o - 24 = -40. Suppose 4*s - 4 = -o*c, 0*c + c = -5. What is the greatest common factor of 10 and s?
2
Suppose -13*q - 2 = -14*q. Let g be (5 + 56/(-16))*q/1. Suppose -2*b + g*b + w = 23, b - w = 25. Calculate the highest common divisor of 120 and b.
24
Suppose -13*l + 10*l - 6 = 0, -l - 4102 = -m. What is the highest common divisor of 100 and m?
100
Suppose 14*v - 38 = 480. Let i = v + 67. Calculate the highest common divisor of 52 and i.
52
Let o(q) = -4*q**2 - 12*q + 15. Let k be o(-3). Calculate the greatest common divisor of 405 and k.
15
Let j(t) = -2*t**2 - 74*t - 544. Let p be j(-11). What is the greatest common divisor of 2548 and p?
28
Let h(s) = -7*s - 32. Let b be h(-29). Calculate the highest common factor of b and 747.
9
Suppose -49*t + 45*t = -40. Suppose t*b + 35 - 145 = 0. What is the highest common factor of 55 and b?
11
Let x = 486 - 273. Suppose 0 = -5*w + 4*g + 6055, -2*w + 3*g - 4875 = -6*w. Suppose -14*m + x = -w. What is the highest common factor of 17 and m?
17
Let b = 4137 + -1659. Calculate the greatest common factor of 42 and b.
42
Let b be (((-90)/12 + -3)/2)/((-2)/72). What is the greatest common divisor of b and 297?
27
Suppose 151 + 689 = -2*i. Let o be (30/7)/((-18)/i). What is the greatest common divisor of o and 20?
20
Suppose 4*l - 3*p + 198 = 5*l, 5*p - 198 = -l. Let g be ((-12)/8)/((-3)/l). What is the greatest common divisor of 66 and g?
33
Let b = -24 - -26. Let p = b - -196. Calculate the highest common factor of p and 18.
18
Suppose 4*s - 3*p = 23, -3*s + 5*p + 14 + 17 = 0. Let y(g) = g**2 + 2*g - 5. Let b be y(4). Calculate the greatest common divisor of b and s.
1
Let i(f) = 1120*f**2 + 8*f - 8. Let k be i(1). Calculate the highest common divisor of 98 and k.
14
Let b = 315 - 329. Let x(m) = -m**2 - 19*m + 14. Let l be x(b). What is the highest common divisor of l and 96?
12
Suppose 124*w - 121*w = 2*n + 16, 4*w + 2*n = 40. What is the greatest common factor of w and 3560?
8
Let o = 28 + -24. Suppose -2*v - 2*g - 8 = 0, -v = 2*g - 3*g - o. Let a be v + 7 + (2 - (-1)/1). What is the highest common factor of a and 80?
10
Let d be (30/25)/(48/3280). Calculate the highest common factor of d and 5.
1
Let y(v) = 5*v + 741*v**3 + 723*v**3 - 1533*v**3 + v**2 + 4. Let i be y(-1). What is the highest common divisor of 23 and i?
23
Let d = -60740 + 60776. Suppose -5*m - 5 + 0 = -5*h, 0 = -5*h + 15. Suppose m*u + 218 = -s + 3*s, 1 = -u. Calculate the highest common factor of d and s.
36
Let a(p) = 108*p - 549. Let u be a(11). Suppose 2*o = 5 + 13. Calculate the greatest common factor of o and u.
9
Let r(s) = -s**2 + 9*s - 13. Let x be r(6). Let j = 16 + x. Let q(b) = -b**2 + 9*b - 7. Let u be q(7). Calculate the highest common divisor of j and u.
7
Suppose -235*h + 85076 + 1924 = -177*h. Calculate the highest common factor of 180 and h.
60
Let x(a) = 2*a**3 + 34*a**2 + 3*a + 52. Let s be x(-17). Let r be 36/(-9) + 1*16. Let w be ((-40)/r)/(6/(-9)). Calculate the greatest common divisor of s and w.
1
Let x = -243430 - -243435. Let v = 82 - 42. What is the greatest common divisor of x and v?
5
Let b(p) = 3*p**2 + 11*p - 79. Let y be b(20). What is the highest common divisor of 27 and y?
9
Suppose 40 = 2*k - o, 2*o + 0*o + 8 = 0. Let b(q) = -q**2 - 9 + 21*q + 18*q + 37*q - 56*q. Let y be b(k). What is the highest common factor of 18 and y?
9
Let x be (2/(-5))/(12/(-120)) - -12. Suppose -24*s + 374 = u - 21*s, 2*u - 738 = -s. Calculate the highest common divisor of x and u.
16
Let b = -18506 + 18538. Let t be 6/(-1)*28/(-6). Suppose 0 = r + 4*m - t, 2*r - m = m + 6. What is the highest common factor of r and b?
8
Suppose 5*w + 5 = -0*w. Let z = w - -118. Suppose o + 3*b = -o + z, -o = 4*b - 71. Calculate the highest common factor of o and 17.
17
Suppose 4*b - 2*z - 16 = -z, -4*b + 16 = -5*z. Suppose 2*u + 24 = 4*a + 6, 0 = b*a - 3*u - 19. Let c = 61 + -29. What is the highest common divisor of a and c?
4
Let a(y) = 16 - 24*y + 2*y**2 - 3*y**2 - 3*y**2 + 8*y**2. Let d be a(8). What is the highest common divisor of d and 5?
5
Let g(j) = j**2 + 2*j + 402. Let u be g(0). Suppose 4*b - 1014 = -u. Calculate the highest common divisor of 85 and b.
17
Suppose -40*w - s - 451 = -44*w, 10*w + 5*s = 1105. Calculate the highest common divisor of w and 112.
112
Let n be (-960)/(-180)*-12*27*3/(-12). Calculate the highest common divisor of n and 208.
16
Let q = 16498 - 16382. What is the highest common factor of q and 10?
2
Let c = 9250 - 7717. What is the greatest common divisor of c and 146?
73
Suppose 238 = 4*h + 46. Let x = 28 - 41. Let g = x - -37. What is the highest common divisor of g and h?
24
Suppose -3*r - 10*u = -16*u - 4293, 0 = -2*r - u + 2862. What is the highest common factor of 2968 and r?
53
Let m(l) be the second derivative of 23*l**3 - 63*l**2 - 2*l + 18. Let c be m(5). What is the highest common factor of 12 and c?
12
Suppose 0*v + 7*v - 33*v + 2860 = 0. Calculate the greatest common factor of 380 and v.
10
Suppose 0 = 3*a - 63*a + 357 + 1443. Suppose 87 + 153 = 3*t. Calculate the highest common divisor of t and a.
10
Let n be ((-2100)/(-8))/(-11*7/(-154)). Calculate the greatest common factor of n and 21.
21
Let m(d) = -d + 1. Let g be m(5). Suppose 265 + 80 = 23*a. Let n = g + a. Calculate the greatest common factor of n and 55.
11
Let i be (-1176)/(-6) - (-1 - 1)*2. Suppose 35*u - i = 30*u. What is the highest common divisor of 30 and u?
10
Let h(s) = 1258*s - 550. Let c be h(3). What is the highest common divisor of 208 and c?
104
Let g(f) be the third derivative of f**6/120 - f**5/15 - 7*f**4/6 - 2*f**3/3 - 27*f**2 - 1. Let m be g(8). What is the highest common divisor of m and 518?
14
Let f(s) = 171*s - 42. Let d = -290 - -294. Let a be f(d). What is the greatest common divisor of 6 and a?
6
Let m be (-1845)/(-15)*(0 - 1/(-3)). Suppose -3*k = -u - 619, -4*k = -2*u + 3*u - 816. What is the greatest common factor of k and m?
41
Let y(b) = 18*b**2 + 2*b + 6. Suppose 3*z - z = -6. Let i be y(z). Suppose 21*s - 238 - 140 = 0. Calculate the highest common divisor of s and i.
18
Suppose -5*b - 3*r + 2055 = 567, 1190 = 4*b + 2*r. Suppose 4*n - 148 = -4*a, 6 + 139 = 5*n - 5*a. What is the greatest common factor of b and n?
33
Suppose -90*j = -98*j - 16. Let x be -2 + (-1183)/(-133) + j/(-19). What is the highest common divisor of 2 and x?
1
Let w be (-1)/(-3)*(-3 + 0)*72. Let z = -40 - w. Let u be z/48 - (-194)/6. What is the greatest common factor of u and 165?
33
Suppose -g + 4*k + 618 = 0, -3*k = 217*g - 214*g - 1794. Calculate the highest common divisor of g and 35.
7
Let v(y) = 27*y**2 + 31*y + 7. Let j be v(-4). Suppose -33*a - 9 = -34*a. Calculate the greatest common factor of a and j.
9
Suppose 168*a - 135850 = -41*a. What is the highest common factor of 450 and a?
50
Suppose 80*r = 9048 + 1192. Let b be (-4)/((-2)/(-2))*-8. What is the highest common factor of r and b?
32
Suppose 7*s + 188 = 9*s. Let x = 371 - 136. What is the greatest common divisor of s and x?
47
Let g(a) = -a**2 - 31*a - 25. Let r be g(-30). Suppose -r*s + 119 = y + 54, 15 = 3*y. What is the greatest common factor of 20 and s?
4
Suppose -22*q - 5*t = -21*q + 1, -111 = -5*q + 4*t. What is the highest common divisor of 1349 and q?
19
Let z(o) = -33*o - 12. Let k be z(-8). Let b = -10229 - -10257. Calculate the highest common factor of k and b.
28
Let g(b) = b**2 - b**2 - 6*b**2 - b**2 + b**3 + 2 + 3*b. Let c be g(7). Calculate the highest common divisor of 299 and c.
23
Suppose 0 = 3*p + 2*p - 880. Let s(c) = -20*c**2 + 139*c - 204. Let x be s(4). Calculate the highest common divisor of x and p.
16
Suppose 1829 - 13671 = -62*z. Calculate the highest common divisor of 1 and z.
1
Let d(k) = 3*k**2 - 23*k - 12. Let n be d(12). Suppose 4*s = 4*q - 56, 8*s - 22 = -2*q + 7*s. What is the highest common factor of n and q?
12
Suppose -18 = -4*x + 5*y, 0 = -5*x - 2*y - 2 + 8. Let q be (-470)/(-15)*9/x. Let t = q + -75. What is the greatest common divisor of 6 and t?
6
Suppose -9167 = -19*q + 5919. Suppose -9*t + 16 + q = 0. Calculate the greatest common divisor of 120 and t.
30
Suppose 378 + 37 = -o. Let c = | {
"pile_set_name": "DM Mathematics"
} |
actor -12*x**2 - 13*x**t + 7*x**2 - 2*x**3.
-5*x**2*(3*x + 1)
Let k be ((-6)/(-8))/((-8)/(-32)). Let j = 4 + -1. Solve j*b**2 + 2*b + 5*b**k - 3*b**3 + b**2 = 0 for b.
-1, 0
Let s(h) be the third derivative of 49*h**5/20 - 47*h**4/8 - h**3 + 34*h**2. Factor s(g).
3*(g - 1)*(49*g + 2)
Factor 398*q**2 + 200*q + 51 - 2*q**4 - 16 - 18 - 17 + 196*q**3.
-2*q*(q - 100)*(q + 1)**2
Let c(j) be the first derivative of -2*j**5/15 + j**4/6 + 2*j**3/9 - j**2/3 - 223. Solve c(n) = 0.
-1, 0, 1
Suppose -1704*l - 34 = -1740*l + 38. Factor -4/11*p**4 + 0*p + 6/11*p**l + 0 - 10/11*p**3.
-2*p**2*(p + 3)*(2*p - 1)/11
Let b(i) be the second derivative of 2*i**7/21 - 4*i**6/15 - 3*i**5/5 + 4*i**4/3 + 8*i**3/3 - 209*i. What is t in b(t) = 0?
-1, 0, 2
Let q = -22 + 27. Suppose q*u - 5*a - 4 = 26, 5*a = 20. Find m such that 3*m**5 + u*m**3 - 12*m**4 + 6*m**3 - 4*m**3 - 15*m + 6*m**2 + 6 = 0.
-1, 1, 2
Let h be ((-8)/(-32))/((-1)/(-20)). Suppose h*j = 12*j - 21. What is g in 1/2*g**4 - 3/2 + 0*g**j + 4*g - 3*g**2 = 0?
-3, 1
Factor 0*a - 4/9*a**5 + 0 + 4/9*a**4 + 4/9*a**3 - 4/9*a**2.
-4*a**2*(a - 1)**2*(a + 1)/9
Let m = -331 - -336. Let z(b) be the third derivative of 0*b + 0*b**3 + 1/4*b**4 - 7*b**2 + 0 + 1/30*b**m. Suppose z(o) = 0. What is o?
-3, 0
Let n(t) be the second derivative of -t**6/90 + 121*t**5/30 - 540*t**4 + 28431*t**3 + 177147*t**2/2 - 247*t. Factor n(x).
-(x - 81)**3*(x + 1)/3
Let f be ((-2)/(-14) + (-927)/(-13699))*1/2. Solve -14/19*s - 20/19 - f*s**2 = 0.
-5, -2
Let a(r) be the third derivative of r**8/420 + 2*r**7/105 + r**6/25 - 4*r**5/75 - 4*r**4/15 - 59*r**2. Factor a(l).
4*l*(l - 1)*(l + 2)**3/5
Let l(j) be the first derivative of -j**4/4 - 3*j**3 - 3*j**2 + 16*j + 2. Let s be l(-8). Factor s*p**3 - 3/4*p**4 + 3/4*p**2 + 0 + 0*p.
-3*p**2*(p - 1)*(p + 1)/4
Factor 40/7*o**3 - 78/7*o**2 + 36/7*o + 2/7.
2*(o - 1)**2*(20*o + 1)/7
Determine o, given that 2/11 + 2/11*o**2 + 4/11*o = 0.
-1
Let u = 594 - 592. Let j(q) be the second derivative of -5*q - 3/8*q**4 + 1/2*q**3 + 0*q**u + 3/40*q**5 + 0. Factor j(k).
3*k*(k - 2)*(k - 1)/2
Let c be (10*20/(-150))/(-2). Let f(d) be the first derivative of -d**3 + 3 + 7/6*d**2 - c*d + 5/12*d**4 - 1/15*d**5. Factor f(z).
-(z - 2)*(z - 1)**3/3
What is w in 0 + 39/2*w + 45/4*w**2 - 3/4*w**4 - 9*w**3 = 0?
-13, -1, 0, 2
Suppose -4 + 13/3*v**2 - 11/3*v**3 - 1/3*v**4 + 11/3*v = 0. What is v?
-12, -1, 1
Let g = 1433 + -1429. Let r = -5/18 + 61/90. What is b in 0 + 0*b - 4/5*b**3 + r*b**2 + 2/5*b**g = 0?
0, 1
Let o be (2 + -8)*(2 - 1). Let m be (4/o)/((-4)/30). Let -4*h**5 + 6*h**5 + h**m - 3*h**3 + 3*h**2 - 3*h**4 = 0. Calculate h.
-1, 0, 1
Let b(p) be the third derivative of 1/240*p**6 + 8*p**2 + 0 + 0*p**5 - 1/16*p**4 + 1/6*p**3 + 0*p. Suppose b(g) = 0. What is g?
-2, 1
Let b(a) be the first derivative of 17 + 2/9*a**2 - 2/3*a + 10/27*a**3. Factor b(q).
2*(q + 1)*(5*q - 3)/9
Suppose 0 = -3*h + 5*h - 86. Let k = -43 + h. Factor 0 + k*f + 2/9*f**2 - 2/9*f**3.
-2*f**2*(f - 1)/9
Suppose 15 = 5*m - 5*o, -3 = -2*m - 0*m - o. Let j be m/(13/1 + (-11 - -9)). Factor -4/11*u + j*u**2 - 6/11.
2*(u - 3)*(u + 1)/11
Let a(s) be the third derivative of s**6/180 + 91*s**5/90 + 235*s**4/4 + 225*s**3 - 267*s**2. Find q, given that a(q) = 0.
-45, -1
Let k(y) be the first derivative of -20/7*y**2 + 100/7*y + 4/21*y**3 + 31. Factor k(i).
4*(i - 5)**2/7
Factor 16*c**2 + 4*c**4 + 0 + 32/5*c + 66/5*c**3 + 2/5*c**5.
2*c*(c + 1)**2*(c + 4)**2/5
Factor 5*m**4 + 3*m**3 + 5*m**4 + 5*m**5 - 10*m**3 - 8*m**3.
5*m**3*(m - 1)*(m + 3)
Suppose 0 = 3*q + 3*a - 15, -4*a - 4 = -2*q + 12. Let z be 3/(-2)*-2 + 0. Factor -q*s**3 - 5*s + 5*s**z + 5*s + s.
-s*(s - 1)*(s + 1)
Solve 167042/9 + 2/9*d**2 + 1156/9*d = 0.
-289
Suppose 0 = 3*j + 2*x - 31, -5*x = 5*j - 24 - 31. Let i(g) = 3*g - 21. Let q be i(j). What is b in -2*b**5 - 4 + 4 - 8*b**4 - q*b**3 + 2*b**4 - 2*b**2 = 0?
-1, 0
Solve 37*x**3 + 108*x**2 + 4*x**5 + 12098 - 12098 - 44*x**4 + 29*x**3 - 6*x**3 = 0 for x.
-1, 0, 3, 9
Let s = 10 - 7. Let l be (3 - -1 - s) + 1. Find j, given that -2*j**2 + l - 2*j**2 + 5*j + 6*j**2 - j = 0.
-1
Let w(t) be the first derivative of -98*t**3/3 + 154*t**2 - 242*t + 158. Factor w(m).
-2*(7*m - 11)**2
Suppose 3/5*b**4 + 21*b**2 + 15*b + 0 + 33/5*b**3 = 0. What is b?
-5, -1, 0
Let i be (15/(-4))/(5/((-40)/3)). Determine a, given that a**2 + 21 - 12 - i*a + a**2 - 1 = 0.
1, 4
Solve 3*j**5 - 3526*j**4 - j**5 - 2*j**5 - 448*j**3 + 752*j**2 + 256*j - 1024 - 4*j**5 + 3602*j**4 = 0 for j.
-1, 2, 8
Let i(p) be the second derivative of 1/15*p**3 + 1/10*p**2 + 0 + 18*p + 1/60*p**4. Solve i(m) = 0 for m.
-1
What is u in -13/3*u**2 + 1/3*u**3 - 5 - 29/3*u = 0?
-1, 15
Let b be (9 - 2) + (-37 - -36). Let t(y) be the first derivative of -1/5*y**5 - 2 + y**4 - y**2 - y + 2/3*y**3 - 1/3*y**b. Suppose t(z) = 0. Calculate z.
-1, -1/2, 1
Let a(i) = -46*i + 48*i + 3 + 2*i**2 - 1. Let k be a(-1). Find d, given that -3*d + 5*d**2 + d**k - 4*d**2 - 5*d**2 = 0.
-1, 0
Suppose 6*k - 28 = 5*k. Determine y so that -k*y + 15*y + 12*y**2 - 4*y**5 - 4*y**3 + 21*y - 12*y**4 = 0.
-2, -1, 0, 1
Suppose 4*v - 31 = -w, -6*v - 12 = -7*v + 4*w. Suppose -5*j + v*j = 0. Find s such that s + 5/4*s**3 + j + 2*s**2 + 1/4*s**4 = 0.
-2, -1, 0
Factor 0 - 1/3*i**4 - 25/3*i + 25/3*i**2 + 1/3*i**3.
-i*(i - 5)*(i - 1)*(i + 5)/3
Let d be 176/62 + -5 + -2 + 4. Let r = 46/93 + d. Factor r*w**2 - 2/3 + 1/3*w.
(w - 1)*(w + 2)/3
Let f(c) be the first derivative of -3/2*c**2 + 0*c - 9/4*c**4 - 6 + 3/5*c**5 + 3*c**3. Suppose f(m) = 0. Calculate m.
0, 1
Let z(j) be the third derivative of -2*j**2 + 0 - 1/20*j**5 + 0*j - 3/8*j**4 - j**3. Factor z(l).
-3*(l + 1)*(l + 2)
Let b be 5 + -3 + (-96)/44 - 810/(-825). Factor b*r - 2/5*r**2 + 0.
-2*r*(r - 2)/5
Let h be (12/36)/((-2)/(-18)). Suppose h*s - 24 = 12. Factor -6*r**3 - s*r + 2*r**2 - 4 - r**4 - 4*r**2 - 11*r**2.
-(r + 1)**2*(r + 2)**2
Factor -2/21*x + 4/21*x**2 + 0*x**3 + 2/21*x**5 + 0 - 4/21*x**4.
2*x*(x - 1)**3*(x + 1)/21
Let n(t) = t**3 + 2*t**2 + 2*t + 1. Let q be n(-1). Let b(u) be the second derivative of -3*u - 1/2*u**3 + 3/20*u**5 + 0 + 0*u**2 + q*u**4. Factor b(g).
3*g*(g - 1)*(g + 1)
Let r(d) be the first derivative of -2*d**4/11 - 2*d**3/3 + 19*d**2/11 - 8*d/11 + 78. Solve r(g) = 0.
-4, 1/4, 1
Suppose 2*r = 0, s - 4*r + 2*r = 3. Suppose 4*h - 32 = -4*c, -4*c + 4*h - 5 = s. Factor 2*j**4 + j**4 - c + 11*j - 5*j + 0*j**3 - 6*j**3.
3*(j - 1)**3*(j + 1)
Let w(i) be the second derivative of 1/24*i**4 - 3*i + 0 - 1/12*i**3 - 1/2*i**2. Suppose w(o) = 0. Calculate o.
-1, 2
Let x be 3/(-2 - -5 - 2). Let j(a) be the second derivative of -a + 5/12*a**4 + 0*a**2 + 0*a**x + 0. Factor j(f).
5*f**2
Suppose 52*h - 68 = -4 + 40. Solve -2/11*x - 1/11*x**h - 1/11 = 0 for x.
-1
Suppose 11*r + 6*r + 200 + 8*r + 2*r**2 + 0*r**2 + 15*r = 0. What is r?
-10
Let l(j) be the second derivative of -j**5/60 + j**4/12 + 5*j**3/9 + 395*j. Let l(n) = 0. Calculate n.
-2, 0, 5
Let f(i) be the second derivative of i**7/1890 + i**6/540 - i**5/45 + 3*i**4 - 2*i - 35. Let r(u) be the third derivative of f(u). Factor r(m).
4*(m - 1)*(m + 2)/3
Let x(j) = 5*j**2 - 23*j - 195. Let s be x(9). Suppose -2/3*g**s + 0 + 0*g - 8/3*g**2 = 0. What is g?
-4, 0
Let x = -238 + 241. Suppose -2*w - n + 2*n + 1 = 0, -x*w + 3*n = -3. Factor -o**3 + o**4 + w + 3/4*o**5 + 0*o + 0*o**2.
o**3*(o + 2)*(3*o - 2)/4
Let i(u) = -3*u**4 - 3*u**3 - u**2 - 5*u. Let f(p) = p**4 + p**3 + p. Let z = 33 + -29. Let v be 10/14 - (-4)/14. Let j(h) = v*i(h) + z*f(h). Factor j(q).
q*(q - 1)*(q + 1)**2
Let k be 3/5*21400/4494. Factor -24/7*c + 0 + 4/7*c**4 - k*c**2 + 8/7*c**3.
4*c*(c - 2)*(c + 1)*(c + 3)/7
Let v(b) be the first derivative of -12*b**5/5 + 8*b**4 - 28*b**3/3 + 4*b**2 - 127. Factor v(i).
-4*i*(i - 1)**2*(3*i - 2)
Factor 324/7 - 72/7*o + 4/7*o**2.
4*(o - 9)**2/7
Let n = 0 - 1. Let b(r) = -4*r**3 - r - 1. Let t be b(n). Factor -t*g + g**2 - 7*g**2 - 4*g**3 + 3*g**3 - g**3.
-2*g*(g + 1)*(g + 2)
Suppose -w = -3*a - 2, 6*a = 4*w + 11*a - 8. Factor -6/7 + 8/7*l - 2/7*l**w.
-2*(l - 3)*(l - 1)/7
Let h = 2779/4 - 694. Factor h - 1/4*p**2 - 1/2*p.
-(p - 1)*(p + 3)/4
Suppose 12*l + 11*l + 0*l = 0. Let p(b) be the third derivative of 1/630*b**7 + 0*b**6 + 0*b + 0*b**4 + l - 1/90*b**5 - 3*b**2 + 1/18*b**3. Factor p(o).
(o - 1)**2*(o + 1)**2/3
Let y | {
"pile_set_name": "DM Mathematics"
} |
8879?
44425
What is next in -59, -81, -137, -245, -423, -689?
-1061
What is the next term in -16, -8, 26, 86?
172
What comes next: -121, -136, -161, -196, -241, -296, -361?
-436
What comes next: 4, 30, 76, 142, 228?
334
What is next in -11, -20, -31, -44, -59?
-76
What is next in -461, -459, -457, -455, -453, -451?
-449
What comes next: -89, -277, -591, -1031, -1597, -2289, -3107?
-4051
What comes next: -33, -34, -35, -36, -37, -38?
-39
What is the next term in 26, 70, 116, 164, 214, 266?
320
What comes next: 31, 51, 93, 163, 267, 411, 601?
843
What is the next term in -438, -1737, -3896, -6909, -10770?
-15473
What is the next term in 18, 45, 88, 153, 246, 373, 540, 753?
1018
What comes next: 19, 37, 55, 73, 91, 109?
127
What is the next term in -16, -12, -4, 8, 24?
44
What comes next: -755, -734, -713, -692?
-671
What comes next: -84, -161, -230, -285, -320, -329?
-306
What is the next term in 351, 336, 307, 258, 183, 76?
-69
What is the next term in -70, -77, -84?
-91
What comes next: -598, -605, -608, -601, -578, -533, -460, -353?
-206
What is next in -3593, -3591, -3587, -3581, -3573, -3563?
-3551
What comes next: 288, 286, 284?
282
What comes next: -43, -136, -291, -508, -787?
-1128
What is next in 37, 39, 47, 61, 81, 107?
139
What comes next: 389, 382, 373, 362, 349?
334
What comes next: -107, -111, -119, -131?
-147
What is the next term in 38, 81, 138, 215, 318, 453?
626
What comes next: -2, -10, -24, -44, -70?
-102
What comes next: -1041, -1043, -1045?
-1047
What is next in 725, 726, 727, 728?
729
What comes next: -11, -51, -119, -215?
-339
What is the next term in -21, -48, -75, -102, -129?
-156
What is next in 85, 171, 261, 355, 453, 555?
661
What is the next term in 2, 11, 26, 47, 74, 107, 146?
191
What is the next term in -97, -394, -891, -1588?
-2485
What is next in 39, 112, 183, 252, 319?
384
What is next in -17, -28, -37, -44, -49, -52, -53?
-52
What is the next term in 33118, 33116, 33114, 33112, 33110, 33108?
33106
What is next in 22, 32, 46, 64, 86?
112
What is the next term in 23, 44, 65?
86
What is next in -64, -55, -44, -31, -16?
1
What is next in 577, 579, 581, 583?
585
What is the next term in 0, 38, 144, 354, 704, 1230, 1968, 2954?
4224
What comes next: 257, 310, 373, 452, 553?
682
What comes next: 592, 1182, 1758, 2314, 2844, 3342, 3802?
4218
What comes next: 58, 77, 118, 187, 290, 433, 622?
863
What is the next term in 675, 669, 651, 615, 555, 465, 339, 171?
-45
What is next in 15, 28, 43, 60, 79, 100?
123
What is the next term in -122, -180, -240, -302, -366?
-432
What is the next term in -12, -27, -52, -93, -156, -247?
-372
What is next in 67, 325, 745, 1321, 2047?
2917
What comes next: 126, 268, 512, 864, 1330, 1916?
2628
What is the next term in 139, 149, 165, 187, 215, 249, 289?
335
What is next in 732, 730, 728, 726, 724, 722?
720
What is the next term in -586, -609, -636, -667?
-702
What comes next: -21780, -21803, -21840, -21897, -21980?
-22095
What comes next: -16, -67, -152, -271, -424?
-611
What comes next: 7159, 14318, 21477?
28636
What is the next term in 134, 136, 138, 140, 142?
144
What is the next term in -53, -242, -557, -998, -1565, -2258?
-3077
What is next in -56, -53, -48, -41, -32, -21, -8?
7
What is the next term in -24, -23, -22, -21, -20, -19?
-18
What comes next: 573, 567, 561, 555?
549
What is the next term in -2791, -2792, -2793, -2794, -2795, -2796?
-2797
What is next in -224, -446, -666, -884, -1100?
-1314
What is next in -12, -18, -42, -90, -168, -282, -438?
-642
What comes next: -103, -244, -383, -520?
-655
What comes next: 50, 126, 256, 440?
678
What comes next: 5, -14, -53, -112, -191, -290, -409?
-548
What is next in -347, -691, -1033, -1373, -1711, -2047?
-2381
What comes next: 68, 144, 222, 302, 384?
468
What is the next term in 9, 4, -5, -18?
-35
What is the next term in -913, -919, -937, -973, -1033, -1123, -1249?
-1417
What is the next term in -5093, -10184, -15275, -20366, -25457?
-30548
What is the next term in -1412, -2817, -4222, -5627, -7032?
-8437
What is the next term in -281, -275, -259, -227, -173?
-91
What is the next term in -307, -326, -345, -364?
-383
What comes next: 664, 1330, 1996, 2662, 3328?
3994
What comes next: 6, 5, 4, 3, 2?
1
What is next in -1941, -3859, -5765, -7653, -9517, -11351, -13149?
-14905
What comes next: 9692, 19391, 29100, 38825, 48572, 58347?
68156
What is next in 53, 89, 135, 197, 281, 393, 539, 725?
957
What is next in -17, -19, -31, -59, -109?
-187
What is next in -1, 6, 25, 62, 123, 214?
341
What comes next: 8, 27, 52, 83?
120
What comes next: -46, -48, -76, -142, -258, -436?
-688
What is the next term in -114, -240, -370, -504, -642, -784?
-930
What comes next: -194, -197, -200, -203, -206, -209?
-212
What is the next term in 40, 72, 106, 142, 180?
220
What is the next term in -13320, -13321, -13322, -13323, -13324?
-13325
What comes next: 46, 96, 150, 208, 270, 336, 406?
480
What comes next: -109, -114, -131, -166, -225, -314, -439, -606?
-821
What is the next term in 76, 119, 162, 205, 248?
291
What comes next: 155, 607, 1351, 2387?
3715
What is the next term in 8, 17, 26, 35, 44?
53
What is the next term in 19, 37, 45, 37, 7, -51, -143, -275?
-453
What comes next: -192, -776, -1744, -3090, -4808?
-6892
What is the next term in -23, -49, -81, -125, -187?
-273
What is the next term in 440, 864, 1278, 1676, 2052, 2400, 2714?
2988
What is next in -859, -888, -937, -1006?
-1095
What is next in 315, 633, 951?
1269
What is next in 418, 842, 1266, 1690, 2114, 2538?
2962
What is the next term in 45, 42, 39?
36
What is next in -17, -45, -83, -131, -189?
-257
What comes next: -5413, -10825, -16237, -21649, -27061, -32473?
-37885
What is the next term in 122, 126, 130, 134, 138?
142
What comes next: -163, -165, -167, -169?
-171
What is the next term in 82, 158, 236, 316, 398, 482, 568?
656
What comes next: -246, -242, -236, -228, -218?
-206
What is next in -5, -64, -231, -560, -1105, -1920, -3059, -4576?
-6525
What is next in 280, 1119, 2510, 4447, 6924?
9935
What comes next: -3071, -3072, -3075, -3080?
-3087
What is the next term in 490, 481, 458, 415, 346, 245, 106?
-77
What is next in -366, -1463, -3290, -5847, -9134?
-13151
What is the next term in 238, 478, 718, 958, 1198?
1438
What comes next: 7, 25, 69, 145, 259, 417, 625, 889?
1215
What is the next term in -31, -42, -67, -112, -183, -286, -427, -612?
-847
What comes next: 29, 35, 43, 53?
65
What comes next: -130, -272, -428, -604, -806?
-1040
What is the next term in 472, 942, 1412, 1882?
2352
What is next in 172, 343, 514, 685, 856, 1027?
1198
What is the next term in -5, 287, 1081, 2629, 5183, 8995?
14317
What comes next: -42, -607, -2142, -5133, -10066, -17427?
-27702
What comes next: 28, 69, 128, 205?
300
What is the next term in -79, -599, -2017, -4783, -9347, -16159, -25669?
-38327
What comes next: -688, -688, -686, -682, -676, -668?
-658
What is the next term in -112, -199, -264, -313, -352, -387?
-424
What is next in -11, -4, 9, 28, 53?
84
What comes next: 254, 257, 260, 263?
266
What comes next: 12048, 12050, 12052, 12054, 12056?
12058
What is the next term in 93, 185, 277, 369, 461, 553?
645
What is next in 41, 56, 105, 206, 377, 636?
1001
What is next in 1112, 1112, 1110, 1106, 1100?
1092
What comes next: 66, 69, 60, 33, -18, -99, -216, -375?
-582
What comes next: 13, 5, -13, -47, -103, -187, -305, -463?
-667
What is the next term in -859, -855, -849, -841?
-831
What is next in -72, -143, -206, -261, -308, -347?
-378
What comes next: 11, -22, -85, -184, -325?
-514
What is next in 20, 0, -46, -130, -264?
-460
What is the next term in 89, 140, 201, 272, 353?
444
What is next in 109, 253, 397?
541
What is the next term in 38, 38, 28, 2, -46, -122, -232, -382?
-578
What is next in 287, 288, 289, 290?
291
What is the next term in 250, 492, 736, 982?
1230
What is next in -134, -133, -132, -131, -130, -129?
-128
What is the next term in -23, -110, -255, -458, -719, -1038?
-1415
What comes next: 123, 248, 373, 498?
623
What comes next: 9, 32, 53, 72, 89?
104
What is the next term in 22, 22, 20, 16, 10, 2, -8?
-20
What is the next term in -578, -577, -574, -569?
-562
What is the next term in -29, -50, -65, -80, -101?
-134
What comes next: -84, -70, -42, 6, 80?
186
What comes next: -2 | {
"pile_set_name": "DM Mathematics"
} |
111111111
-214124332 (base 5) to base 9
-1662344
-a631a3 (base 11) to base 7
-20320541
What is 908a7 (base 14) in base 9?
578555
Convert -723107 (base 8) to base 4.
-322121013
-37469 (base 10) to base 2
-1001001001011101
What is -a92d57 (base 16) in base 15?
-e90161
Convert -110101111010 (base 3) to base 15.
-4c3b0
Convert -5d0bac (base 14) to base 2.
-1100001011000000110100
What is 113243130 (base 6) in base 8?
10056376
391229 (base 14) to base 7
22452152
1020331130 (base 4) to base 11
194587
Convert -a1b5 (base 12) to base 5.
-1030221
-b0277 (base 13) to base 3
-120222120010
What is -fba7 (base 16) in base 2?
-1111101110100111
What is -12020100011001 (base 3) in base 6?
-135343301
Convert 14341341 (base 6) to base 2.
1111000111100111101
-200412200 (base 5) to base 12
-323a6b
15419994 (base 10) to base 15
1548d49
-333144012 (base 5) to base 4
-11210100321
-12424044 (base 6) to base 12
-178024
-25288 (base 15) to base 10
-118703
What is -98268 (base 13) in base 12?
-113209
246383 (base 10) to base 16
3c26f
Convert 43891 (base 11) to base 3.
10020021111
Convert -23375c (base 15) to base 2.
-110011010101111101100
What is 34721 (base 10) in base 12?
18115
What is 256051 (base 8) in base 12?
436b5
20221221102210 (base 3) to base 10
3699264
Convert -1111001001001101111000 (base 2) to base 10.
-3969912
Convert 100111100101101001010 (base 2) to base 4.
10330231022
What is 186a028 (base 12) in base 10?
5118368
What is 523130244 (base 6) in base 4?
202300002310
What is -d2842 (base 14) in base 12?
-205162
-2201330131 (base 4) to base 5
-132211300
Convert -b08ebd (base 15) to base 16.
-7febdd
Convert 1036b20 (base 12) to base 6.
145331240
133102020 (base 4) to base 15
27e76
What is -155417 (base 11) in base 12?
-b7859
-90b862 (base 14) to base 5
-2221403004
What is 1f0a3 (base 16) in base 3?
20110101212
Convert -11212000111111 (base 3) to base 16.
-275995
What is -2868b (base 13) in base 9?
-125012
What is -1030022202 (base 4) in base 9?
-524843
What is 10122112120 (base 3) in base 6?
1312323
Convert 1459ba5 (base 14) to base 5.
10013244114
-3a8680 (base 12) to base 6
-32432240
Convert -316865 (base 13) to base 7.
-12556226
Convert -147688 (base 9) to base 5.
-10402322
Convert -4653b (base 13) to base 4.
-133111001
What is 133a1 (base 11) in base 14?
6d6c
-10011000110100110 (base 2) to base 14
-20730
1101100111011110100 (base 2) to base 16
6cef4
2400531 (base 6) to base 14
335b1
Convert 3005540 (base 6) to base 8.
423704
What is 5514223 (base 9) in base 7?
34114614
What is -45aa7 (base 16) in base 13?
-9cb61
Convert 472687 (base 9) to base 2.
1000101010111110010
What is -112132132 (base 4) in base 14?
-2579c
What is 22113510 (base 6) in base 10?
663090
What is 364542 (base 9) in base 2?
110101101011100000
What is 12ab4c2 (base 13) in base 7?
100656606
14124342 (base 5) to base 7
1144324
What is 2011202100 (base 3) in base 8?
123517
What is 48da11 (base 16) in base 3?
22222120021021
What is 5c4014 (base 14) in base 2?
1100000011110000010010
-22261623 (base 7) to base 6
-105220030
What is -136705 (base 9) in base 7?
-465650
-41339d (base 16) to base 11
-2459454
-10cadb (base 16) to base 11
-691911
Convert a002b4 (base 13) to base 9.
6878756
What is 57d27d (base 14) in base 8?
13330037
Convert -497228 (base 10) to base 3.
-221021001212
What is 667856 (base 10) in base 8?
2430320
a13440 (base 13) to base 15
4e0b5a
What is 448074 (base 9) in base 8?
1014063
-2343224412 (base 5) to base 13
-118886b
What is -4865667 (base 9) in base 3?
-11222012202021
707240 (base 8) to base 11
14a168
-a87ef (base 16) to base 8
-2503757
250095 (base 10) to base 8
750357
266b43 (base 14) to base 9
2438275
Convert -34004523 (base 7) to base 5.
-1223132414
What is 1363577 (base 11) in base 16?
23d0ea
What is -2111002022 (base 3) in base 11?
-3381a
What is -a6153 (base 12) in base 6?
-4400543
What is 12002202100 (base 3) in base 11?
694a3
-33010123 (base 4) to base 16
-f11b
What is -a5a48 (base 16) in base 8?
-2455110
Convert 282372 (base 9) to base 16.
2a140
What is 664650 (base 7) in base 11?
7a958
Convert 11210013321 (base 4) to base 14.
29d837
-25310134 (base 7) to base 9
-4266764
Convert -144b257 (base 12) to base 8.
-17447643
What is 11001000110111110001 (base 2) in base 16?
c8df1
What is -11121220010210 (base 3) in base 5?
-1112131130
-30cb98 (base 13) to base 11
-710199
Convert 17a4 (base 16) to base 5.
143202
What is -138423 (base 13) in base 8?
-1640171
133111013 (base 5) to base 8
2447656
Convert 62edf (base 16) to base 12.
1765bb
Convert 26a36 (base 12) to base 8.
150112
Convert -14c22 (base 16) to base 14.
-22db4
What is -293eb9 (base 15) in base 2?
-111100101010011110000
-101111000010000001011 (base 2) to base 16
-17840b
Convert -1331213020 (base 4) to base 3.
-222010202201
Convert 1dba47 (base 16) to base 14.
389dd5
81788 (base 10) to base 8
237574
Convert 134e29 (base 15) to base 12.
389003
-10042330 (base 5) to base 11
-55915
Convert -1bbb1 (base 16) to base 14.
-2d573
What is 30164552 (base 7) in base 8?
11431510
-1134313 (base 5) to base 14
-7a2c
Convert -927069 (base 11) to base 5.
-340110013
What is 10000100000111100 (base 2) in base 4?
100200330
Convert -1168561 (base 9) to base 15.
-c874d
Convert 4354541 (base 7) to base 15.
a8648
Convert -26329d (base 14) to base 3.
-2110210201021
What is -17aba0 (base 16) in base 13?
-424110
Convert -252397 (base 11) to base 2.
-1100001010001100110
What is -113933 (base 11) in base 10?
-180810
What is -1273594 (base 11) in base 7?
-24464322
What is -1031300223 (base 4) in base 16?
-4dc2b
Convert -23552004 (base 6) to base 2.
-10110110000010100100
Convert -10031042 (base 5) to base 4.
-103210103
-9c53 (base 15) to base 2
-1000000110000001
Convert 9260f8 (base 16) to base 6.
541340224
What is -120036 (base 9) in base 14?
-1c456
Convert 2127291 (base 10) to base 16.
2075bb
What is 1212355 (base 6) in base 4?
33221033
1334121421 (base 5) to base 13
92c80b
71061626 (base 8) to base 12
5019a46
-1983634 (base 10) to base 16
-1e4492
What is -1021231103 (base 4) in base 8?
-1115523
-1093894 (base 16) to base 9
-35631864
What is -53304 (base 11) in base 2?
-10010111011111101
-210c67 (base 14) to base 6
-35533003
-1186822 (base 9) to base 16
-9e354
What is 221b20 (base 13) in base 8?
3041716
-975030 (base 10) to base 2
-11101110000010110110
Convert -121478 (base 11) to base 6.
-4041545
Convert 3610 (base 14) to base 10.
9422
197a442 (base 11) to base 16
32ec83
Convert 153100402 (base 6) to base 3.
20001221212102
Convert 12213032 (base 4) to base 12.
13812
What is 22313033 (base 5) in base 2?
110000010100000101
Convert 72550 (base 8) to base 13.
108b0
What is 442289 (base 10) in base 3?
211110201002
Convert -33360 (base 10) to base 16.
-8250
Convert 113010002 (base 4) to base 3.
11210120202
Convert 7918814 (base 10) to base 12.
279a792
231411 (base 8) to base 7
445105
What is -1241203312 (base 5) in base 12?
-10401b3
What is af0958 (base 16) in base 12?
3a12508
What is 32753 (base 15) in base 11?
aa468
Convert -330542 (base 8) to base 15.
-22d16
Convert 2401102 (base 8) to base 2.
10100000001001000010
Convert -263bd8 (base 16) to base 9.
-4638137
Convert 544453 (base 8) to base 16.
2c92b
Convert -2044324 (base 6) to base 4.
-120102130
What is -768a1 (base 14) in base 4?
-1012011231
1122102122110 (base 3) to base 2
11010101100000101110
Convert -23131341 (base 5) to base 8.
-626732
Convert -26611662 (base 7) to base 16.
-257d48
Convert 1022854 (base 10) to base 11.
639538
442040411 (base 5) to base 14
37990c
Convert 10204333231 (base 5) to base 16.
a2108a
What is 1011110000111110001 (base 2) in base 14?
a06d3
What is -7402234 (base 9) in base 2?
-1111000110010010101110
Convert -101101001100011101011001 (base 2) to base 15.
-1090593
What is -10130451 (base 6) in base 14?
-78491
Convert -20703 (base 10) to base 7.
-114234
67663 (base 9) to base 2
1010111111010100
386529 (base 11) to base 2
10010100101010000111
Convert 7383878 (base 10) to base 11.
4193687
Convert -1da3 (base 14) to base 8.
-12473
Convert 43894 (base 10) to base 8.
125566
What is 44ac61 (base 13) in base 16?
18c5c5
-1c6348 (base 15) to base 16
-152d5c
-352155 (base 8) to base 16
-1d46d
Convert -12210120122 (base 3) to base 5.
-12123041
What is 32434 (base 10) in base | {
"pile_set_name": "DM Mathematics"
} |
0)*(2*a - 3*a + 3*a)*(-8 + 2 + 4 + (0 + 1 + 0)*(-1 + 3 - 4))*(-174 + 45 - 214).
-2744*a**3
Expand (-1 + 4 - 1)*(2 - 2 + 5*m)*(67 - 192 + 60 + 65 + 7130*m).
71300*m**2
Expand (-44 + 6793*f**3 - 13607*f**3 + 6866*f**3 - 1)*(-2*f + f + 0*f).
-52*f**4 + 45*f
Expand (-17 - 22 - 96)*((-2 + 2 + p)*(-2 + 3 - 2) + 9*p - 5*p - 7*p)*(1 - 2 - 2)*(2 + 3 - 4).
-1620*p
Expand (-5871*k**4 - 16648*k**2 - 3397*k**4 + 16648*k**2 - 3243*k**4)*(-1 - k + 1).
12511*k**5
Expand (-4 + 2 - 3)*(5 - i - 5) + (-i - 4*i + 4*i)*(-3 + 2 - 1) + 86*i + 91*i - 44*i.
140*i
Expand (-2*z - z**3 + 2*z)*(-3*z**2 - 4*z**2 + 5*z**2) - z**4 + z**4 + 2*z**5 + 4*z**4 + z**5 - 4*z**4 + 112*z + 0*z**5 - 114*z + 13*z**2 - 2*z**5.
3*z**5 + 13*z**2 - 2*z
Expand (4 - 2*g - 4 - 4*g + 4 - 4 + 0*g + 4*g - 2*g + (3 + g - 3)*(2 + 0 - 1))*(-15 + 5 - 3)*(5 - g**2 - 5).
-39*g**3
Expand (-1 + l + 1)*(-5*l - 2*l + 0*l) - 3*l**2 - 4*l**2 - 2*l**2 + l**2 - 3 - 14*l + 15*l - 5.
-15*l**2 + l - 8
Expand (15*c**4 - 14*c**4 - 109*c + 74*c)*(2 - 1 + 0 - 4*c) + (-c**4 - 4*c**2 + 4*c**2)*(-2*c + c + 0*c) - c**5 + 2*c**5 + c**5.
-c**5 + c**4 + 140*c**2 - 35*c
Expand (0 + 2 - 1)*(-4*s + 3*s + 5*s) + (-15 - 4*s + 15)*(0 - 1 + 2) - 4*s + 2*s - 4*s.
-6*s
Expand (36*l**2 + 28*l**2 + 32*l**2)*(l + 9*l + 3*l - 2*l + 3 - 3 + (-4*l + 3*l + 0*l)*(-1 - 3 + 3) - 2*l + l + 0*l + l - l - 2*l).
864*l**3
Expand 1327 - 2611 + 1319 + 7*z + (4 - 3 - 2)*(-2*z + 6*z - 2*z).
5*z + 35
Expand (-h + h + h + (-2*h - 2 + 2)*(-2 + 3 - 2))*(23*h**4 + 35*h**4 - 11*h**4).
141*h**5
Expand (x**2 - 2*x**2 - 5*x**2)*(-x**2 - 2*x**3 + x**2) + x**5 + 4*x**2 - 4*x**2 + 65*x**5 + 8125*x**4 - 8125*x**4.
78*x**5
Expand (723804 - 723804 + 4760*i)*((-5*i - i + 4*i)*(2 - 4 + 1) + 5*i - 4*i + i) + 0*i**2 - i**2 + 0*i**2 + (4 - 4 + 2)*(3*i**2 + 0*i**2 - 5*i**2).
19035*i**2
Expand (1212*b - 604*b + 3828*b)*(0 - 1 + 6).
22180*b
Expand (-3*i**3 + 4*i**3 - 2*i**3)*(2 + 1 - 2)*(326911*i - 326911*i - 671*i**2).
671*i**5
Expand (2 + 4 - 5)*(0 - 2 - 8)*(218 + 17*r**4 - 218).
-170*r**4
Expand (-1 - 2 + 1)*(3*m - 4*m + 3*m) + 146 + 200 + 202 + m.
-3*m + 548
Expand (8*j**2 + 930*j**4 - 9*j**2 - 1878*j**4)*(-2 + 3 + 1)*(4 - 5 + 2).
-1896*j**4 - 2*j**2
Expand (-13*w**3 + 8 - 8)*(-148*w**2 - 2028*w + 2028*w - 2).
1924*w**5 + 26*w**3
Expand (-4*j**4 + 4*j**4 + j**4)*(-3 - 1 + 5) - 275*j**2 - 276*j**2 + 834*j**2 - 986*j**4 - 284*j**2.
-985*j**4 - j**2
Expand (29*b + 127*b + 66*b + 25*b)*(-16*b + 7*b - 3*b).
-2964*b**2
Expand (-5*u + 0*u + 0*u)*(5*u + u**3 - 5*u) + 47*u + 4*u**4 - 47*u + (-u**4 - 2*u**4 + 6*u**4)*(-3 + 0 - 1).
-13*u**4
Expand ((s + 3 - 3)*(4 - 2 + 4*s + 2*s) + 2*s**2 + 0*s**2 - 6*s**2 + (-2 - 1 + 1)*(4 - 4 + s**2) - s**2 + 4*s - 4*s)*(-3 + 3 - 1).
s**2 - 2*s
Expand (-4*c + 4*c - c)*(2*c - c**2 - 2*c) + (-239*c**3 - 473*c**3 + 1182*c**3)*(0 + 1 - 4).
-1409*c**3
Expand ((3*x - x - x)*(2 - 4 + 0) - 25*x - 8 + 8)*(x**2 - 1 + 1).
-27*x**3
Expand 2*d + 4*d**2 - 2*d**2 + d**2 - d**4 - 50*d**4 + 93*d**4 + 52*d**4 + (-d**3 + 0*d**3 + 3*d**3)*(-4*d + 0*d + 0*d).
86*d**4 + 3*d**2 + 2*d
Expand 47*n + 45 - 39*n - 9*n + (-4 + 4 - n)*(3 - 1 - 4).
n + 45
Expand (-233 + 4*q + 649 - 280)*(-1 + 2 + 1).
8*q + 272
Expand (-152*d + 164*d - 413*d)*(2*d - 2*d - d**2) + 4 - 2*d**3 - 4.
399*d**3
Expand (2 - 3*r**2 - 2)*(-r**2 - 3*r**2 + 3*r**2) + (-205 - 218 + 430)*(3*r**3 - 3*r**3 - 2*r**4).
-11*r**4
Expand (2*y + y - 3*y - 4*y**2)*(145 - 11 - 721)*(-2 - y**2 + 2)*(-3 + 2*y + 3).
-4696*y**5
Expand (3*j + 12*j - 3*j)*(-2*j**2 + 0*j**2 + 3*j**2) + 121*j**3 - 96*j**3 - 106*j**3.
-69*j**3
Expand 22*v**4 - 22*v**4 - 12*v**5 + (-2 + 5 - 1)*(-v**5 - v**3 + v**3) + 3*v**5 + 4*v**5 - 2*v**5 - 5 - 2*v**5 + 3 + 13*v**4 - 8*v**4.
-11*v**5 + 5*v**4 - 2
Expand (-2 + 2 + p + (-1 - 1 - 1)*(-2*p + 3*p + 0*p))*(16*p + 5*p + 2*p).
-46*p**2
Expand (-5*z**2 + 1 + 10728*z - 10760*z + 20*z**2)*(9*z - 15 + 15).
135*z**3 - 288*z**2 + 9*z
Expand (1264*a**4 - 951*a**4 - 691*a**4)*(-3 - 2 + 4).
378*a**4
Expand (-62*s - 100*s + 12*s - 65*s)*(-7*s**3 + 8*s**3 + 8*s**3).
-1935*s**4
Expand (-3 - 4 + 3)*(0*t - 3*t + 2*t) - 3*t + 3*t - t + (t - 6*t + 2*t)*(2 - 3 + 3) - 2 - 2*t + 2 + (-2 - 2 + 3)*(-t - t + 0*t) - 23*t + 23*t + 12*t.
9*t
Expand (0*z - 2*z + 0*z)*(-7 + 4 + 0) + (-4 - 2 + 5)*(1 - 1 + 2*z) + 2*z + 0*z - 7*z + (-z + 2 - 2)*(-2 - 2 + 3) + 3*z + 2*z + 42*z.
47*z
Expand -a**4 - 2*a**4 + 4*a**4 + (0 + 3 - 5)*(-2269*a**4 - 2795*a**4 + 235*a**4).
9659*a**4
Expand (3*r**2 - 7*r**2 + 3*r**2)*(-r + 3*r + 0*r) + 0*r**3 - 4*r**3 + 5*r**3 - 3 - 48272096*r**2 - 1466*r**3 + 0 + 211*r**3 + 48272086*r**2.
-1256*r**3 - 10*r**2 - 3
Expand (2 - 6 + 3)*(-32*k - 2909 + 5882 - 2923) + 5*k - k - 3*k.
33*k - 50
Expand -4*b**5 + 12*b**5 + 3*b**5 + (-28*b - 7*b + 12*b)*(-b - b + 7*b)*(-2*b**3 - b**2 + b**2) - b**4 - b**5 + b**4 - 3*b**5 + b**5 + b**5.
239*b**5
Expand (2*x**3 + 3*x**3 - 3*x**3)*(15*x + 55*x - 4*x)*(-3 + 2 + 0)*(5 - 6 + 6).
-660*x**4
Expand (-351 + 84 + 147)*(-2 + 1 + 5)*(-4*c**3 + 0*c**3 + 6*c**3).
-960*c**3
Expand -4*h + 2*h + h + 2*h - 2*h + h + (2 - 1 - 2)*(-3043*h + 1597*h + 1050*h).
396*h
Expand ((-2 + 0 + 0)*(-4 + 1 + 5) - 4 + 0 + 1)*(-2 + 2 - 8*j + (0 + 3 - 2)*(12*j + 5*j - 8*j)).
-7*j
Expand (21909 - 21909 + 310*d)*(8*d - 5*d**4 - 51*d**3 + 51*d**3 + 1).
-1550*d**5 + 2480*d**2 + 310*d
Expand 2*b - 3 + 3 + (-3 - 1 + 0)*(2 - 2 + 2*b) + (-7 + 1 - 2)*(-4*b + 4*b - 3*b) + b + 2*b + 3*b.
24*b
Expand (0*p**2 - 2*p**2 + 3*p**2)*(-p - 3 - 1 - 5)*((-p + p - 2*p)*(-2 + 0 + 0) + 6074 - 6074 + 46*p)*(0 + 0 - p).
50*p**5 + 450*p**4
Expand -2*t - 4*t + 2*t + (2 - 1 + 1)*(-5*t + t + t) + (1 + 2 - 4)*(-6*t - 4*t - 2*t) - 3*t - 1 + 1 + 0*t + 2*t - 3*t.
-2*t
Expand (11*n**3 + 17*n**3 - 5*n**3)*(-34 - 11 + 0).
-1035*n**3
Expand (-k - 3*k + 5*k)*(4 + 2 - 4)*(72 + 40 - 101 - 2 - 1 + 1 - 6 + 4 + 0 + (-1 - 1 + 3)*(-4 + 1 + 4)).
16*k
Expand 0 - y**2 + 0 + (-y**2 + y**2 - y**2)*(3 - 2 - 2) + 0 + y**2 + 0 + 2*y**2 - 4*y**2 + y**2 + 17*y**2 - 7*y**2 + 15*y**2.
25*y**2
Expand (1 + 0 + 1)*(-10*s**5 + 2*s**5 + 5*s**5) - 5*s**5 + 0*s**5 - 29*s**5 - 2*s**5 + 5*s**5 - s**5 + (2*s**2 + 0*s**2 - 4*s**2)*(0*s**3 - 8*s**3 + 0*s**3).
-22*s**5
Expand (2*g**2 + 4*g**2 - 3*g**2)*(-4*g**2 + g**2 + 2*g**2 - g**2 + 0*g**2 + 5*g**2 + (3*g + g - 2*g)*(-3 + 3 + g)) - 4*g**4 + g**4 + 0*g**4.
12*g**4
Expand (y**2 + 4*y**2 - 3*y**2)*(0 - 1 - 1 - 3 - 2 + 3 + (1 + 2 - 2)*(4 - 1 - 4) + 2 + 3 - 3 + 0 + 8 + 7) + 0 + 0 - y**2.
23*y**2
Expand (-9943 + 21*m + 9936 + 17*m - 14*m)*(-2*m + m + 3*m) + (0*m + 3*m - 2*m)*(-4*m + 1 - 1).
44*m**2 - 14*m
Expand -563 + 10*r**2 - 604 + 1120 + (3*r - 3*r + r)*(2 - 2 + 2*r) - 2*r**2 - 2*r**2 + 3*r**2.
11*r**2 - 47
Expand (-4 + 4*q**2 + 4)*(342*q**3 - 3615*q + 3615*q).
1368*q**5
Expand 2*w**4 + 4*w**2 - 4*w**2 + (11*w - 22*w + 9*w)*(7*w**3 + 0*w**3 + w**3) + (-w**2 - w**2 + 4*w**2)*(-w**2 + 6*w**2 - 3*w**2).
-10*w**4
Expand (-3*z + 2 - 2)*(1134*z - 27*z**2 - 1134*z)*(-8 + 19 + 7).
1458*z**3
Expand (-2*d**2 - 2*d**2 - 4*d**2)*(-3*d**2 + 2*d**2 + 5*d**2) - 2*d**4 + 0*d**4 - 2*d**4.
-36*d**4
Expand (-24 + 89*h + 24)*(28 - 4*h - 29 + h).
-267*h**2 - 89*h
Expand (-25*k + 17*k + 14*k)*(-4 + 2 + 4)*(15*k**4 - 11*k**4 + k + 2*k**3 - 4*k**3).
48*k**5 - 24*k**4 + 12*k**2
Expand (-j**2 + 3 - 3)*(2*j**3 + j**3 - 2*j**3) + 131*j - 131*j + 21*j**5 + (-3*j**3 - 1 + 1)*(-j**2 + 3*j**2 - 3*j**2).
23*j**5
Expand -11*g + 11*g + g**2 + (-g - 2*g + 2*g)*(-1 - 3 - 1)*(253*g - 487*g + 128*g).
-529*g**2
Expand -3*f - 3*f**5 + 3*f + (6*f**2 + 8*f**5 - 6*f**2)*(-5 - 5 + 5) + (0 + f + 0)*(-f**4 + 4*f**4 - 2*f**4).
-42*f**5
Expand ((-3 + 5 + 0)*(-f - 1 + 1) + 2 + f - 2)*(254*f**2 + 61 - 53*f**2 - 59).
-201*f**3 - 2*f
Expand (-14 + 64 + 56)*(-78*r**3 + 4*r**3 - 3*r**3).
-8162*r**3
Expand (-2 + 3 + 1)*(-n**3 - n**3 + 0*n**3) - 3*n**3 + 4*n**3 + 0*n**3 + (-8*n**2 + 87*n**2 + 43*n**2)*(-6*n + 2*n + 2*n + (0 + 0 - n)*(4 - 3 + 0)).
-369*n**3
Expand (-2*g + g + 2*g)*(1759*g + 2227*g + 1638*g).
5624*g**2
Expand (7*z**4 + 23*z - 23*z)*(21 - 19 - 37*z - z) - 17*z**5 - 8*z + 8*z.
-283*z**5 + 14*z**4
Expand (4*n**3 - 2*n**3 + 2*n**3)*(6*n**2 - 2*n**2 - 2*n**2) + (-7*n + 15 - 15)*(8273*n**3 + 91*n**4 - 8273*n**3).
-629*n**5
Expand (0 + 1 + 5)*((5*k - 3*k + 4*k)*(-29 + 17 - 8) + k - 3*k - k)*(-4*k**2 + 2*k**2 + k**2).
738*k**3
Expand (-12*m**3 + 91*m**3 + 6*m**4 + | {
"pile_set_name": "DM Mathematics"
} |
uct of -0.3 and -0.00748?
0.002244
2832.957 * 0.1
283.2957
What is -180 times 2438?
-438840
What is the product of 151.844 and -0.01?
-1.51844
What is 3 times 1.7842?
5.3526
-105.8073*-0.4
42.32292
Multiply 1 and -3913.
-3913
-1*124614
-124614
Multiply -0.3 and -11.5283.
3.45849
Work out 774 * -30.
-23220
Multiply -0.075 and 50.
-3.75
-2 * 5419
-10838
10*-0.44
-4.4
0.01301 * -35
-0.45535
What is the product of 2587 and -66.3?
-171518.1
Multiply -64467 and 24.
-1547208
Work out 66 * -4.
-264
Product of -0.1 and 468177.
-46817.7
What is the product of -3 and 6.45125?
-19.35375
Product of 0.291542 and 5.
1.45771
Calculate -40.76*1.33.
-54.2108
What is 20 times 3600.9?
72018
Work out 296 * 0.0885.
26.196
Work out 1.7 * -0.495.
-0.8415
Calculate -0.28*18.1.
-5.068
Multiply -24 and -97351.
2336424
What is 549 times 227?
124623
Product of -45881 and 5.
-229405
Multiply 1 and 16.179.
16.179
Work out 0.75 * -11.8.
-8.85
Product of 5 and 1.44988.
7.2494
-756 * -8
6048
-0.77 * 0.05216
-0.0401632
Multiply 8786.2 and -0.041.
-360.2342
-0.6 * -19314
11588.4
-0.3193*0.35
-0.111755
Product of 123 and -425.
-52275
Product of 2.73864 and -3.
-8.21592
-16909*0.2
-3381.8
Product of 18 and 530985.
9557730
-266.6 * -0.1
26.66
0.277 times 168
46.536
Calculate 228*-14.08.
-3210.24
Multiply 0.2 and -1.0916.
-0.21832
0.3 * -340.11
-102.033
Product of -14991 and -2.
29982
What is -882 times 0.022?
-19.404
Work out -2 * 1.906.
-3.812
Product of -8097 and -43.
348171
Product of 55183 and 0.3.
16554.9
What is -39.1652 times 0.3?
-11.74956
Multiply 210 and 75.
15750
1.17 times -1193
-1395.81
What is the product of -0.67 and -1.21?
0.8107
Calculate 238*218.
51884
Multiply -25.74 and 926.
-23835.24
Multiply -10.99 and 0.12.
-1.3188
What is the product of 5603 and 0.289?
1619.267
5 times 10390
51950
-0.195*3.2
-0.624
2.5*4.3372
10.843
Calculate -66*92.
-6072
-39.2 * -73.7
2889.04
Work out -0.02 * -1.3874.
0.027748
Product of -231745 and 0.2.
-46349
Multiply -2 and -288.35.
576.7
Calculate -0.38*-7427.
2822.26
Product of -29 and 4488.
-130152
0.4 * 29336.9
11734.76
Product of 1632048.1 and -0.4.
-652819.24
Product of 862522 and -3.
-2587566
What is 4189.11 times 0.4?
1675.644
Work out -42.602 * -7.
298.214
Product of 827 and 0.585.
483.795
-0.3*-79793
23937.9
Product of -0.3 and -125982.
37794.6
What is 1329 times -2911?
-3868719
Work out 0.5 * 7541.
3770.5
Multiply -0.0307 and -5.5.
0.16885
What is the product of 0.08 and -3135?
-250.8
Multiply -34 and -26418.
898212
0.7 * 23349
16344.3
Calculate -65*-6265.
407225
Multiply 0.025 and -1628.1.
-40.7025
Calculate 0*6031.
0
What is -0.05 times -313739?
15686.95
193 times 217
41881
What is 7 times -52846?
-369922
-0.04 times 8387.7
-335.508
4153 times 0.2
830.6
-1 * 1901.3
-1901.3
5 * -9714
-48570
Calculate 15*-7576.
-113640
Product of 16 and 1016.4.
16262.4
Work out -0.03 * 3.
-0.09
-0.2 * 503
-100.6
Work out -9435 * -0.1.
943.5
Product of -37354 and 29.
-1083266
-1 times 39.221
-39.221
Product of 7 and 1827.
12789
Calculate 2.6*30.67.
79.742
Multiply 0.03882 and 641.
24.88362
-0.33018 times 0.06
-0.0198108
What is 1731 times -0.23?
-398.13
-58.42 * 47
-2745.74
Work out -923.616 * -0.1.
92.3616
-359.41 times -0.3
107.823
157 * 101.1
15872.7
Work out 427 * 0.348.
148.596
Calculate 5*1.413.
7.065
What is the product of 0.2 and -43829?
-8765.8
Product of -0.5 and -211134.
105567
Calculate 427*-76.
-32452
6.58*6
39.48
-5 times -84.37
421.85
Product of 57.11 and 0.032.
1.82752
Product of -35567 and -0.3.
10670.1
Product of 2 and 0.063772.
0.127544
What is the product of -0.4 and 6663.2?
-2665.28
0.107 * 53.4
5.7138
122.84 * 0.8
98.272
Multiply -85297 and -0.029.
2473.613
Multiply -0.0065 and 78.
-0.507
What is the product of -6 and -1.91601?
11.49606
Work out -128 * -12.65.
1619.2
660 * -0.35
-231
Multiply 0.4 and 80.805.
32.322
Calculate -60370*0.4.
-24148
What is the product of 0.3746 and 0.3?
0.11238
Calculate -0.1*-5285.
528.5
169*-0.1
-16.9
-1.539*-259
398.601
Multiply 1237 and 0.27.
333.99
142526 times -0.5
-71263
What is 1063 times 39?
41457
What is the product of -1710.29 and 0.1?
-171.029
Work out 311 * -643.
-199973
0.09 * 0.304069
0.02736621
Work out -473 * 0.0625.
-29.5625
What is -109 times 958?
-104422
What is 44 times -1500?
-66000
Calculate -1.83*-100.
183
What is 43046 times -0.31?
-13344.26
What is the product of 2.3 and 1.758?
4.0434
218.95 times 0.2
43.79
-458.52 times 36
-16506.72
Product of 732 and 128.8.
94281.6
What is -50 times -0.82?
41
Work out -0.44 * -380.7.
167.508
-0.5645*-47
26.5315
Multiply -617434 and 5.
-3087170
-0.308*140
-43.12
Product of 0.03 and 7386.
221.58
What is 267 times 191?
50997
Multiply 2 and -48443.
-96886
Product of -4 and 113597.
-454388
-569.74 times -0.1
56.974
What is the product of -2.6 and 2343.27?
-6092.502
What is -95059 times -2?
190118
186.2 * -0.03
-5.586
0.334 * -0.12
-0.04008
Product of -1 and 53.943.
-53.943
Calculate 17*-558.
-9486
102.4 * 0.159
16.2816
Multiply -8051 and -0.235.
1891.985
Product of -1146.556 and -0.3.
343.9668
Calculate 2*17.453.
34.906
-34.75622*-0.3
10.426866
What is the product of 5 and -3.4359?
-17.1795
Multiply -0.5 and -1338.5.
669.25
Work out 0.3 * 718780.
215634
What is the product of -16538 and -191?
3158758
Calculate 22*-6.2.
-136.4
Work out 0.2122 * 3.4.
0.72148
Work out 0.4 * 21143.
8457.2
Calculate 406*-0.02.
-8.12
-0.4 * -0.5232
0.20928
Calculate 2.3*0.01587.
0.036501
Product of 0.8 and 0.01249.
0.009992
What is the product of -306924 and -0.3?
92077.2
What is 21.7611 times -0.06?
-1.305666
What is the product of -2970705 and -5?
14853525
2 times 0.058128
0.116256
Multiply -213 and -0.01207.
2.57091
Calculate -0.85*-2806.
2385.1
Work out -24 * 9587.
-230088
What is 7785.3 times -2?
-15570.6
Multiply -25923.8 and 2.
-51847.6
Work out 0.5 * 350.69.
175.345
What is the product of 0.04 and -56316?
-2252.64
Product of 17388 and -1.
-17388
Product of 143 and -13.75.
-1966.25
Work out -4444.936 * -0.3.
1333.4808
Work out 0.6 * -0.5516.
-0.33096
What is the product of -733099 and -0.2?
146619.8
What is the product of -78 and -0.3915?
30.537
Multiply 0.008 and -969.
-7.752
-184379 * 0.2
-36875.8
Calculate -0.03321*-0.1.
0.003321
Work out 215 * -0.2.
-43
What is 1650105 times 0.3?
495031.5
Calculate 0.2*28253.8.
5650.76
-72*26.9
-1936.8
Work out -0.0027406 * 0.05.
-0.00013703
-0.062*4.38
-0.27156
Calculate -10822*-1.4.
15150.8
Work out -18807.96 * 1.
-18807.96
-39.5*2.305
-91.0475
Product of 64 and 79.
5056
Product of -6 and -51847.
311082
Work out -0.273171 * 12.
-3.278052
-0.319683*1
-0.319683
0.412055 times -1.1
-0.4532605
Calculate 115*282.
32430
0.12*80.9
9.708
Calculate 31*-991.4.
-30733.4
-321 * -0.255
81.855
Work out 0.243 * -205.
-49.815
Product of 0.08 and -335.2.
-26.816
-0.1 * -26.5209
2.65209
Work out 20.81 * 17.
353.77
4.6064 times -0.44
-2.026816
10979*11
120769
Product of 2 and 1560818.
3121636
What is 2 times -57303?
-114606
-0.9*6023
-5420.7
Calculate 1*-16240.
-16240
What is -5 times 642055?
-3210275
What is -8.6 times -0.0779?
0.66994
-0.072985 times 0.4
-0.029194
0.15 times -12681
-1902.15
0.4322 times -18.3
-7.90926
2338*0.078
182.364
Calculate 812*-73.
-59276
Work out 136.8 * 16.
2188.8
Product of 0.02 and -0.04183.
-0.0008366
-4 times 6.4839
-25.9356
What is 321 times -142?
-45582
-12 * 0.4975
-5.97
Work out 65242 * 0.1.
6524.2
Calculate 3307*0.7.
2314.9
Calculate 0.44959*0.4.
0.179836
Work out 0.5 * -56.932.
-28.466
What is -0.745 times -127?
94.615
What is the product of 136 and 5764?
783904
6*-172.2
-1033.2
Multiply -6.8 and 56495.
-384166
-8042 times -3.2
25734.4
What is the product of 0.5 and 1324465?
662232.5
-3*2282
-6846
What is the product of -10752.71 and 0.2?
-2150.542
20507 * 5
102535
-485.3013 times -0.5
242.65065
What is 0.31 times -0.0386?
-0.011966
What is -13860 times 0.2?
-2772
Work out -2115 * 0.3.
-634.5
-30550 times 20
-611000
What is the product of -5 and -1.6604?
8.302
-77*-143.98
11086.46
-0.5*-211683
105841.5
What is -5 times 0.06015?
-0.30075
1 times -29.983
-29.983
-0.3474*11
-3.8214
Product of -58 and 12.821.
-743.618
-2188 * 90
-196920
7850.65 * -1
-7850.65
Calculate 220.982*-5.
-1104.91
What is the product of 65304 and 0.7?
45712.8
What is 6.18396 times 0.3?
1.855188
What is the product of 2. | {
"pile_set_name": "DM Mathematics"
} |
of picking 3 i when three letters picked without replacement from {i: 14, l: 2, y: 1}.
91/170
Calculate prob of picking 1 r and 1 i when two letters picked without replacement from jjxsixsjssyr.
1/66
Three letters picked without replacement from {a: 1, v: 1, s: 5, u: 3, f: 2}. Give prob of picking 1 f and 2 u.
3/110
Calculate prob of picking 1 k and 1 j when two letters picked without replacement from jukupub.
1/21
Four letters picked without replacement from {c: 4, l: 6}. Give prob of picking 4 c.
1/210
Three letters picked without replacement from ooepiieiioiiopeii. Give prob of picking 2 p and 1 o.
1/170
Calculate prob of picking 1 h and 1 q when two letters picked without replacement from ihiqhhhhqhhqhihhhh.
4/17
Calculate prob of picking 1 b and 2 n when three letters picked without replacement from nnnbnnb.
4/7
What is prob of picking 3 u and 1 h when four letters picked without replacement from {h: 1, u: 6, i: 2, t: 3}?
4/99
Calculate prob of picking 1 h and 1 n when two letters picked without replacement from {h: 11, n: 3}.
33/91
What is prob of picking 2 p and 1 y when three letters picked without replacement from {c: 2, y: 1, p: 2}?
1/10
What is prob of picking 2 q and 1 l when three letters picked without replacement from {l: 1, q: 7}?
3/8
What is prob of picking 3 w and 1 h when four letters picked without replacement from wwhwwwwhw?
5/9
Two letters picked without replacement from {t: 1, x: 2, v: 6, l: 4}. Give prob of picking 1 l and 1 t.
2/39
Four letters picked without replacement from {i: 1, f: 1, k: 1, g: 2, j: 2}. What is prob of picking 1 f, 1 k, 1 j, and 1 g?
4/35
Calculate prob of picking 2 p when two letters picked without replacement from pppaj.
3/10
Three letters picked without replacement from {q: 3, z: 8}. Give prob of picking 3 z.
56/165
Three letters picked without replacement from {f: 4, x: 3, z: 3, c: 2, i: 4, p: 2}. Give prob of picking 2 c and 1 f.
1/204
Calculate prob of picking 2 f when two letters picked without replacement from tysqqdfqtfsyfs.
3/91
Four letters picked without replacement from ggzggzzgggz. What is prob of picking 4 g?
7/66
Two letters picked without replacement from qqqhqqkqhkqq. What is prob of picking 1 q and 1 k?
8/33
Two letters picked without replacement from {c: 9}. Give prob of picking 2 c.
1
Three letters picked without replacement from avovytdt. Give prob of picking 1 a, 1 o, and 1 d.
1/56
Calculate prob of picking 1 s and 1 v when two letters picked without replacement from vvvvvvsssv.
7/15
Calculate prob of picking 1 r and 3 f when four letters picked without replacement from {f: 5, v: 3, r: 2}.
2/21
Two letters picked without replacement from {n: 1, g: 3, e: 2, c: 1, z: 3, j: 2}. Give prob of picking 2 j.
1/66
Three letters picked without replacement from jajjqaaaranjjarjuu. Give prob of picking 1 u, 1 q, and 1 n.
1/408
Three letters picked without replacement from nnjynncnccynjjn. What is prob of picking 2 c and 1 y?
6/455
Two letters picked without replacement from oozxztzszz. Give prob of picking 1 t and 1 x.
1/45
What is prob of picking 2 z when two letters picked without replacement from {b: 1, z: 1, p: 1, s: 1, c: 1}?
0
What is prob of picking 1 w, 1 z, and 2 g when four letters picked without replacement from {r: 1, w: 3, g: 3, b: 1, z: 2}?
3/35
Calculate prob of picking 2 v, 1 j, and 1 u when four letters picked without replacement from vjjnjumujuynuyjnvjy.
2/323
Four letters picked without replacement from {s: 4, f: 7}. Give prob of picking 4 s.
1/330
Four letters picked without replacement from {y: 1, r: 1, p: 3}. What is prob of picking 3 p and 1 r?
1/5
Three letters picked without replacement from {h: 1, n: 3, f: 1, u: 1, d: 6}. Give prob of picking 1 h, 1 d, and 1 n.
9/110
Three letters picked without replacement from mgufsggugugm. What is prob of picking 2 u and 1 s?
3/220
Calculate prob of picking 2 a when two letters picked without replacement from annkyooyoooaknayaa.
10/153
Three letters picked without replacement from uucccul. Give prob of picking 3 l.
0
Four letters picked without replacement from {x: 3, r: 2, k: 3}. Give prob of picking 3 k and 1 x.
3/70
Three letters picked without replacement from xebxbmxjx. Give prob of picking 1 m and 2 b.
1/84
Calculate prob of picking 1 i and 3 w when four letters picked without replacement from {i: 2, w: 5, r: 3}.
2/21
Four letters picked without replacement from orovrzouzzvvzvaouoro. Give prob of picking 2 z, 1 r, and 1 v.
24/1615
Calculate prob of picking 3 g when three letters picked without replacement from {v: 2, g: 2}.
0
Three letters picked without replacement from wywlwlbzlllywyfywyf. Give prob of picking 3 w.
10/969
What is prob of picking 2 v, 1 q, and 1 x when four letters picked without replacement from {b: 6, q: 1, t: 1, k: 1, v: 1, x: 3}?
0
What is prob of picking 1 w and 1 t when two letters picked without replacement from wuwbuqurwtrrur?
3/91
What is prob of picking 2 a and 1 u when three letters picked without replacement from uaafauu?
9/35
Two letters picked without replacement from {p: 7, d: 7}. What is prob of picking 2 d?
3/13
Three letters picked without replacement from {b: 1, l: 4, o: 5, u: 1, r: 7, t: 1}. Give prob of picking 1 u, 1 r, and 1 l.
28/969
Calculate prob of picking 1 j and 3 o when four letters picked without replacement from jbfjbfbbojjjfbojob.
1/510
Two letters picked without replacement from {u: 2, j: 5}. What is prob of picking 2 j?
10/21
Two letters picked without replacement from qquduqquq. Give prob of picking 1 u and 1 d.
1/12
What is prob of picking 1 g, 1 l, and 1 j when three letters picked without replacement from {y: 1, l: 4, u: 2, j: 7, g: 1}?
4/65
Four letters picked without replacement from {d: 12, j: 2, w: 4, h: 1}. Give prob of picking 3 d and 1 w.
220/969
Two letters picked without replacement from vvvhvhvvvvvv. What is prob of picking 1 h and 1 v?
10/33
Three letters picked without replacement from {i: 6, y: 5, m: 3, h: 1, x: 3}. Give prob of picking 1 h and 2 m.
1/272
Calculate prob of picking 1 i and 1 t when two letters picked without replacement from ixeonintinntinnnxeie.
1/19
What is prob of picking 1 u and 1 g when two letters picked without replacement from {j: 3, g: 1, s: 1, w: 1, q: 2, u: 4}?
2/33
Four letters picked without replacement from {q: 2, i: 1, x: 3, j: 1, g: 10, n: 2}. What is prob of picking 1 q and 3 i?
0
Two letters picked without replacement from byybydyd. What is prob of picking 1 y and 1 d?
2/7
Calculate prob of picking 3 r when three letters picked without replacement from ffrfffrrff.
1/120
Three letters picked without replacement from bmrwl. Give prob of picking 1 b, 1 m, and 1 r.
1/10
What is prob of picking 1 b, 1 k, and 2 d when four letters picked without replacement from bkdxxxbkbxdbdbbbxxb?
4/323
Three letters picked without replacement from {d: 4, c: 8, t: 4, h: 2, n: 1}. Give prob of picking 1 h, 1 t, and 1 d.
32/969
Calculate prob of picking 3 a when three letters picked without replacement from {a: 4, e: 15}.
4/969
Calculate prob of picking 2 y, 1 r, and 1 c when four letters picked without replacement from yycsrycyycccyy.
15/143
Two letters picked without replacement from {c: 5, p: 11}. What is prob of picking 2 c?
1/12
What is prob of picking 4 q when four letters picked without replacement from qrqqqr?
1/15
Three letters picked without replacement from xfhzozzxzhx. Give prob of picking 2 z and 1 h.
4/55
Three letters picked without replacement from {z: 7}. What is prob of picking 3 z?
1
Four letters picked without replacement from {n: 3, k: 2, x: 6, r: 1, b: 1}. What is prob of picking 1 r, 1 x, 1 k, and 1 n?
36/715
Two letters picked without replacement from {u: 3, b: 2, g: 5, h: 2}. Give prob of picking 1 g and 1 h.
5/33
Four letters picked without replacement from emqmqqqmpmhq. What is prob of picking 2 q, 1 e, and 1 m?
8/99
Calculate prob of picking 1 n and 1 m when two letters picked without replacement from mnnn.
1/2
Calculate prob of picking 2 u when two letters picked without replacement from uubbbbu.
1/7
Calculate prob of picking 2 f, 1 p, and 1 u when four letters picked without replacement from ufpffddxxx.
1/70
Calculate prob of picking 2 o when two letters picked without replacement from {u: 11, o: 3}.
3/91 | {
"pile_set_name": "DM Mathematics"
} |
ivative of -307491*l**3 - 17621*l**2 wrt l?
-1844946
What is the second derivative of 380075*w*y**2 - 7*w*y - 146*w - 4*y**2 - 7*y - 1 wrt y?
760150*w - 8
Find the second derivative of 515*l**5 - l**4 - 63*l**3 + 58259*l wrt l.
10300*l**3 - 12*l**2 - 378*l
What is the third derivative of 329*l**5 + 2*l**4 - 67207*l**2 - 2?
19740*l**2 + 48*l
Differentiate -3*n*p*x**2 + 128*n*p*x - 29*n*p - n - 73*x**2 + 4*x wrt p.
-3*n*x**2 + 128*n*x - 29*n
What is the first derivative of 26556*b**4*y**3 + 98*b**2*y**3 + 104262*y**3 + 2*y**2 + y - 1 wrt b?
106224*b**3*y**3 + 196*b*y**3
Find the third derivative of -3*i**3*x**3 - 2*i**3*x + 13*i**2*x**3 + 8*x**3 - 10270*x**2 wrt x.
-18*i**3 + 78*i**2 + 48
Find the second derivative of 4230869*b**3 + 1598758*b wrt b.
25385214*b
What is the second derivative of -123857*v**3*x**2 + 50*v**3 + 106*v**2 + 2*x**2 + x wrt x?
-247714*v**3 + 4
What is the derivative of -2254*d**2*w - 2*d**2 + 167*d*w + 2191*w - 254 wrt d?
-4508*d*w - 4*d + 167*w
What is the second derivative of -17707*x**4 - 132383*x wrt x?
-212484*x**2
Differentiate -128925*o + 62367.
-128925
Find the second derivative of -11428*c**5*u**3 - c**2*u**3 - 9*c*u - 4*u**3 + 85*u wrt c.
-228560*c**3*u**3 - 2*u**3
Find the first derivative of 34*p**3*y - 1562823*p**3 + 375*p*y + 2*p - 7*y wrt y.
34*p**3 + 375*p - 7
Find the first derivative of 5201723*i - 3245602.
5201723
What is the second derivative of -1396*f**3 - 72*f**2 + 526895*f?
-8376*f - 144
Differentiate 4*t*z**2 + 228*t*z + 36*t + 6*z**2 + 7531*z with respect to t.
4*z**2 + 228*z + 36
Differentiate -63*g**4 - 8*g**2 + g - 54298 with respect to g.
-252*g**3 - 16*g + 1
What is the second derivative of 19256*h**2 - 5*h + 39527?
38512
What is the second derivative of 2862570*t**2*u**3 + t*u**2 + 689430*u**3 wrt t?
5725140*u**3
What is the derivative of -p*s**2*v + 57*p*s**2 - 25*p*s*v + p + 890283*s**2*v wrt p?
-s**2*v + 57*s**2 - 25*s*v + 1
What is the third derivative of -38928*m**4 + 753*m**2 - 7*m?
-934272*m
What is the second derivative of -10649*n**3 + 5515*n?
-63894*n
Find the second derivative of 2*h**2*j*u - 2*h**2*j - 25473*h**2*u + 63*h*j + 35*j*u - 2*j + 2*u - 1 wrt h.
4*j*u - 4*j - 50946*u
What is the first derivative of 9*l**3*z + 4180*l**3 - 2*l**2*z + l*z + 195*l + 3235*z wrt z?
9*l**3 - 2*l**2 + l + 3235
Find the third derivative of -18606*z**6 - z**4 - 125*z**2 + 110.
-2232720*z**3 - 24*z
Find the first derivative of c*q*y - 21587*c*q - c*y - 324*q*y - y wrt y.
c*q - c - 324*q - 1
Find the second derivative of 11022*x**2 + 2*x + 62284 wrt x.
22044
Differentiate -26*d**3*k*o + 560*d**2*k*o + d*k - 27*k*o - 22*k + o wrt d.
-78*d**2*k*o + 1120*d*k*o + k
Find the second derivative of -1060*c**3*g**2 - 34543*c**3 - c*g + 2*g**4 wrt g.
-2120*c**3 + 24*g**2
Differentiate 1092867*j*p + 748977*p wrt j.
1092867*p
Find the third derivative of -3*a**2*h**2*s**3 + 3*a**2*h**2*v + a**2*h*s*v + 8*a**2*s**2 - 3*a*h**2*s**2*v - a*h*v**2 + 3*h**2*s*v**2 - 2775*h*s**3*v**2 wrt s.
-18*a**2*h**2 - 16650*h*v**2
Find the third derivative of -1511632*g**3*p - 65*g**2 + g*p + 133*p + 6 wrt g.
-9069792*p
Find the first derivative of -16917*b**3*d**2 + 654864*b**3*d*q - 2*b**3*d + b**2*d**2 - 2*b*d**2 - d**2*q wrt q.
654864*b**3*d - d**2
What is the derivative of -404618*l*p*v - 3202*l*p - 29 wrt v?
-404618*l*p
What is the third derivative of -73162*g**5 - 4*g**4 - 560*g**2 - 3*g + 2 wrt g?
-4389720*g**2 - 96*g
What is the third derivative of -116056*i**5 + 5*i**4 - 84*i**2 + 37*i - 3?
-6963360*i**2 + 120*i
Find the second derivative of 5784*a**4*g - 20*a**3*g - 2*a*g - 12825*a - g wrt a.
69408*a**2*g - 120*a*g
What is the third derivative of v**4 + 103652*v**3 + 1043*v**2 + 31 wrt v?
24*v + 621912
Differentiate 1740*g**3*z**2 - g**3*z + 463*g**3 + 3*g**2 - g*z - 46*g + 3*z**2 - 1 with respect to z.
3480*g**3*z - g**3 - g + 6*z
What is the first derivative of -9*l**3*u**3 - 2*l**3*u + 1259516*l**3 + 2633*u wrt u?
-27*l**3*u**2 - 2*l**3 + 2633
What is the third derivative of 57*z**5 + 1649*z**4 + 104964*z**2 wrt z?
3420*z**2 + 39576*z
Find the second derivative of 489089*o**3 - 57787*o - 2 wrt o.
2934534*o
What is the third derivative of 217*u**5 + 7*u**4 + 17*u**3 - 1552*u**2 - 153 wrt u?
13020*u**2 + 168*u + 102
Differentiate 2413*c*g**3 + 2*c*g*o - 48624*c*o - c wrt g.
7239*c*g**2 + 2*c*o
Find the third derivative of -3*l*v**3 + 2*l*v**2 - l + 14807*v**3 + 70*v wrt v.
-18*l + 88842
What is the second derivative of 515*h**5*y**2 + 15*h**3*y**3 - 2*h*y**3 - 51*h*y + 100*y**3 wrt h?
10300*h**3*y**2 + 90*h*y**3
Find the third derivative of -153218*l**3 - 47*l**2 + 10 wrt l.
-919308
What is the first derivative of 171122*k**3 + 127212 wrt k?
513366*k**2
Find the first derivative of -11*a**3*l + 913*a**3 - 564*a**2*l**4 + 2*l - 11 wrt l.
-11*a**3 - 2256*a**2*l**3 + 2
What is the second derivative of -120*a**5 + 131*a**2 - 571313*a?
-2400*a**3 + 262
What is the derivative of -c*v*w + 2*c*v + 9991*c*w - 85*c + 2*v**2*w + 76*v**2 - 8*v*w wrt w?
-c*v + 9991*c + 2*v**2 - 8*v
Find the second derivative of -19535*i**2 + 109*i + 33.
-39070
What is the third derivative of -397*y**6 - 4*y**4 + 100*y**3 + y**2 - 561*y + 60?
-47640*y**3 - 96*y + 600
Find the second derivative of -41159*v**4 + 4830*v + 4.
-493908*v**2
What is the second derivative of 419309*q**2 + 16575*q - 21 wrt q?
838618
What is the first derivative of -387150*n + 366982 wrt n?
-387150
Find the first derivative of 4*m**3 + 2369*m**2 + 164311 wrt m.
12*m**2 + 4738*m
What is the second derivative of 3*n**4 + 63075*n**2 + 2615*n + 162?
36*n**2 + 126150
Find the second derivative of f**4*z - 132*f**4 - 2*f*z + 4747*z wrt f.
12*f**2*z - 1584*f**2
What is the first derivative of -524*o**3 + 41*o**2 + 66378 wrt o?
-1572*o**2 + 82*o
Differentiate 400060*k - 1207716 wrt k.
400060
What is the derivative of 23*r*z**4 - 22*r*z - 109020*r + 3*z**3 wrt z?
92*r*z**3 - 22*r + 9*z**2
Find the third derivative of -98484*s**3 + 365473*s**2.
-590904
What is the third derivative of -92074*g*x**3 + 103131*g*x**2 - x**2 wrt x?
-552444*g
Find the third derivative of -7928*u**4 + 25*u**3 + 294540*u**2 wrt u.
-190272*u + 150
Differentiate -19*i*p**3*u + 9957*i*u + 2*p**3*u - 35781*u with respect to i.
-19*p**3*u + 9957*u
Find the second derivative of 687371*a**2 - 538316*a wrt a.
1374742
Find the first derivative of -207705*l**4 - 7615.
-830820*l**3
Find the first derivative of 14*v**4 - 48*v**3 + 3*v**2 + 2*v - 2395893.
56*v**3 - 144*v**2 + 6*v + 2
Find the third derivative of -l**6 - 4087*l**3 + 12*l**2 + 835*l.
-120*l**3 - 24522
Find the first derivative of -82276*u + 1311525.
-82276
Differentiate -96723*w**4*y + 3*w**2*y**3 + 168*y**3 + 2*y**2 - 7*y + 7 wrt w.
-386892*w**3*y + 6*w*y**3
What is the third derivative of 929740*t**2*y**6 - t**2*y**2 + t*y**2 - t*y + 18*t + 659*y**2 wrt y?
111568800*t**2*y**3
What is the third derivative of 2*t**6 + 83624*t**4 + 179405*t**2 wrt t?
240*t**3 + 2006976*t
What is the second derivative of -3773*v**4*x**3 + 15*v**4*x - v*x**3 - v*x - 349*v + 2*x**3 wrt v?
-45276*v**2*x**3 + 180*v**2*x
Find the second derivative of -77812*m**5 + 6*m**3 - 1406747*m.
-1556240*m**3 + 36*m
What is the third derivative of -16069*w**4 - 2*w**2 + 5103*w wrt w?
-385656*w
What is the second derivative of 4483*k**3*y**2 - k**3*y - k**3 + 4*k**2*y + 1640*k*y - 4*y**2 wrt y?
8966*k**3 - 8
What is the third derivative of 166760*u**3 + 2*u**2 + 25297?
1000560
What is the second derivative of 1986820*j**2 + 1143086*j?
3973640
Find the second derivative of -2*a**3 - 460*a**2 + 10067*a.
-12*a - 920
Find the first derivative of -15230*j**3 + 156906.
-45690*j**2
Find the third derivative of -228*n**6 + 85*n**3 - 2093*n**2 + 15 wrt n.
-27360*n**3 + 510
Find the first derivative of -265*l**2*n**4 + 58*l**2*n**2 - 88557*l**2 wrt n.
-1060*l**2*n**3 + 116*l**2*n
What is the third derivative of -1022962*d*n**3 + 7*d*n - 20*d + 18*n**2 + 3*n - 2 wrt n?
-6137772*d
Differentiate -69*b**3*t - 2*b**2*t**2 + 2*b**2 - 34*t**2 + 19*t - 23 with respect to b.
-207*b**2*t - 4*b*t**2 + 4*b
Find the third derivative of 9*n**4*w - 42472*n**3*w - n**2*w - 76*n**2 - n*w - 189 wrt n.
216*n*w - 254832*w
What is the first derivative of -5*y**2 - 570*y + 27985?
-10*y - 570
What is the second derivat | {
"pile_set_name": "DM Mathematics"
} |
= 2*c(p) + 11*m(p). Let h(x) = -3*x**2. Determine h(a(o)).
-3*o**2
Let h(j) = -j. Let s(g) = 36*g - 27. Let f(m) = 5*m - 4. Let n(u) = -27*f(u) + 4*s(u). What is h(n(c))?
-9*c
Let z(g) = 4*g. Let l(d) = d**2 - 15*d - 32. Let k be l(17). Let o(n) be the third derivative of 0*n + 0*n**3 - n**k + 0 + 1/12*n**4. Calculate z(o(y)).
8*y
Let q(b) = -b**2. Let v = 11 + -9. Let d(n) be the first derivative of -5/2*n**v + 0*n + 3. Calculate d(q(g)).
5*g**2
Let s(i) be the third derivative of -i**8/6720 - i**5/15 - 2*i**2. Let k(w) be the third derivative of s(w). Let y(g) = -g. Give y(k(h)).
3*h**2
Let m(g) = -2*g. Let s(r) = -r**2. Let w(b) be the first derivative of b**3/3 - 2. Let y(o) = -s(o) - 2*w(o). Give y(m(a)).
-4*a**2
Let v(y) = 3*y. Suppose 0 = -3*p + 5*q + 31, -5*p = -7*q + 2*q - 35. Let k(x) = 3*x**p + 4 - 4*x**2 - 4. Give v(k(a)).
-3*a**2
Let p(n) = -2*n**2. Suppose 5*v = -0*v + 10. Let h(u) = 4*u**2 + 11. Let b(m) = -m**2 - 2. Let s(k) = v*h(k) + 11*b(k). What is s(p(f))?
-12*f**4
Let v(n) = n. Let t(o) be the second derivative of -o**5/120 - o**3/3 + 4*o. Let p(l) be the second derivative of t(l). Calculate v(p(y)).
-y
Let p(y) be the third derivative of y**4/24 - 24*y**2. Let m(b) = -11*b. Let g(q) = 77*q. Let s(c) = -3*g(c) - 22*m(c). Give s(p(j)).
11*j
Let a(n) = 117*n**2. Let m(d) = 2*d**2. Calculate m(a(c)).
27378*c**4
Let w(g) = 4*g. Suppose -14*d = -18*d - 36. Let k(v) = v. Let f(m) = d*k(m) + 2*w(m). Let c(h) be the third derivative of 3*h**4/8 + h**2. Determine c(f(j)).
-9*j
Suppose 0 = -2*o + 4 + 8. Let r(i) = o*i**2 + 0*i**2 - 4*i**2. Let c(z) = -z. What is c(r(x))?
-2*x**2
Let r(p) = p**3 - 2*p**2 - 3*p + 2. Let q be r(3). Let b(o) = -3*o**2 + 5*o**q + 8*o**2. Let h(n) = -n**2. Calculate b(h(j)).
10*j**4
Let g(n) = -9*n**2 - 8*n**2 + 29*n**2 - 9*n**2. Let j(z) = z. Determine j(g(a)).
3*a**2
Let l(d) = -8*d. Let i(w) = w. Let f(u) = -6*i(u) - l(u). Let k(q) = -22 - q + 22. Calculate k(f(z)).
-2*z
Let v(f) be the first derivative of -5*f**2/2 - 21. Let w(c) = c**2 - 2*c. Let u(n) = 2*n**2 - 3*n. Let l(d) = 2*u(d) - 3*w(d). What is v(l(i))?
-5*i**2
Let v(n) = -n**2 + 1. Let l(k) = -6*k**2 + 3. Let t(m) = -l(m) + 3*v(m). Let r(f) = 3*f. What is r(t(g))?
9*g**2
Let p(t) = 3*t**2 - 614*t. Let m(h) = 2*h. Calculate m(p(r)).
6*r**2 - 1228*r
Let i(g) = -g**2. Let t(l) be the first derivative of -l**6/60 - 2*l**3/3 - 7. Let o(k) be the third derivative of t(k). Determine o(i(z)).
-6*z**4
Let c(y) = -2*y**2. Let m = 15 + -14. Let a(p) = -1 + 0 + m - 3*p**2. Calculate c(a(f)).
-18*f**4
Let y(t) = 1. Let q(i) = i - 3. Let o(h) = -q(h) - 3*y(h). Let z(w) = -w + w**2 + w. Calculate o(z(r)).
-r**2
Let w(d) = 2. Let q = -4 + 5. Let v(g) = g**2 - 1. Let u(z) = q*w(z) + 2*v(z). Let b(s) = 2*s. What is u(b(p))?
8*p**2
Let u(l) be the first derivative of -l**4/6 + 2*l + 2. Let d(r) be the first derivative of u(r). Let f(x) = 3*x. Give f(d(m)).
-6*m**2
Let k(h) = h**2. Let n(t) be the second derivative of 0*t**2 + 0 + 3*t - 5/3*t**3. What is k(n(f))?
100*f**2
Let i(s) = 2*s**2. Let d(u) = 6*u**2 - 3. Let g be (4 + -1)*(-2 - -3). Let r(f) = -13*f**2 + 7. Let b(v) = g*r(v) + 7*d(v). Determine i(b(t)).
18*t**4
Let c(o) be the third derivative of -o**4/24 + 24*o**2. Let n(q) = 2*q. Calculate n(c(u)).
-2*u
Let s(c) = -82*c + 32*c + 27*c + 21*c. Let w(j) = 7*j**2 + 0*j + 0*j. Calculate s(w(z)).
-14*z**2
Let t(s) = 2*s + 254. Let y(g) = 10*g. What is t(y(z))?
20*z + 254
Let j(m) = -5*m. Let w be (-1 - (-18)/1) + -4. Let s(r) = 17*r. Let f(v) = 8*v. Let a(o) = w*f(o) - 6*s(o). Determine j(a(b)).
-10*b
Let h(x) = -2*x**2. Let y(m) = -84*m + 1. Calculate h(y(n)).
-14112*n**2 + 336*n - 2
Let k(z) = 4*z**2 - 2 + 2 + 0. Let p(v) = -2*v. Determine p(k(w)).
-8*w**2
Let j(z) be the first derivative of -4 + 0*z**2 + 0*z + 2/3*z**3. Let v(f) = 2*f. Determine v(j(o)).
4*o**2
Let u(f) = -3*f - 5. Let h(l) = -l + 1. Let k(y) = -5*h(y) - u(y). Let i(v) = -2*v**2. Calculate k(i(s)).
-16*s**2
Let j(d) = 7*d + 2. Let x(n) = 124*n. Determine x(j(r)).
868*r + 248
Let r(s) = 2*s**2. Let x(t) = t - 4901. Determine x(r(u)).
2*u**2 - 4901
Let s(c) = 3 + 2*c - 7 + 4. Let k(g) = -6*g**2. Calculate k(s(n)).
-24*n**2
Let t(c) = -15*c**2. Let k(h) be the first derivative of h**2 - 32. What is k(t(y))?
-30*y**2
Let j(h) = -3*h. Let s(k) = k - 3. Let m(r) = 4*r - 11. Let z(x) = -6*m(x) + 22*s(x). Give z(j(b)).
6*b
Let l(i) = -i**2. Let k = 2 - -1. Suppose -4*h - 3*h + 21 = 0. Let u(x) = -k - 2*x + h. Determine l(u(y)).
-4*y**2
Let c(z) = -z. Let b(i) = -23 + 16 - 16*i + 7. Give b(c(m)).
16*m
Let q(o) = 2*o - 330. Let t(i) = -2*i. What is t(q(h))?
-4*h + 660
Let c(q) = -3*q. Let z be 1*(0 - 1)*0. Let d(h) = z*h - 5*h + 3*h. Give c(d(a)).
6*a
Let p(q) = -q**2. Let a(u) = u + 1. Let f(b) = -14*b**2 - 21*b - 21. Let m(c) = -21*a(c) - f(c). Calculate m(p(h)).
14*h**4
Let i(g) = 2*g. Let q(a) = -14*a**2 + 3*a + 6. Let c(b) = 561*b**2 - 121*b - 242. Let f(y) = 6*c(y) + 242*q(y). Calculate i(f(o)).
-44*o**2
Let x(r) = 2*r + 2. Let u(d) = 33*d. Calculate x(u(g)).
66*g + 2
Let m(b) = -3*b. Let t(q) = 59*q**2. What is t(m(l))?
531*l**2
Let p(l) = l. Let b be (-4)/(0 - (1 + 1)). Let t(j) = 2*j**b - 3*j + 3*j. What is p(t(i))?
2*i**2
Let v(t) = 1261*t**2. Let d(f) = -3*f**2. Give v(d(h)).
11349*h**4
Let r(g) = g**2 + 17. Let h(d) = -d. Give r(h(p)).
p**2 + 17
Suppose 5*a - 17 = 8. Let l(s) be the third derivative of 0*s - 1/30*s**a + 0 + 0*s**3 + 0*s**4 + s**2. Let c(f) = -5*f**2. Determine l(c(i)).
-50*i**4
Let y(v) = -v. Let p(x) = -254*x**2 + 3. What is p(y(s))?
-254*s**2 + 3
Let n(g) = -g**2 - 60*g - 5. Let k(i) = -2*i**2. Determine n(k(c)).
-4*c**4 + 120*c**2 - 5
Let m(p) = -28*p**2. Let z(h) = 28*h**2. Let t(o) = -3*m(o) - 4*z(o). Let c(n) = n**2. Determine t(c(v)).
-28*v**4
Suppose -p + 2 = -1, 3*p = 4*d + 25. Let y(x) = x. Let t(n) = 5*n. Suppose -4 = -2*i - 2. Let m(q) = d*y(q) + i*t(q). Let v(j) = -2*j**2. Give v(m(c)).
-2*c**2
Let p(s) = 3*s. Let l(g) = 10*g. Suppose -3*f = -2*i, -6 = 5*f + 2*i + 10. Suppose -21 = -3*d - 0*d. Let r(a) = d*p(a) + f*l(a). Let w(h) = h. Give w(r(z)).
z
Let v(k) = 19*k**2 - 4*k - 4. Let i(j) = -18*j**2 + 3*j + 3. Let p(x) = 4*i(x) + 3*v(x). Let c(u) = -u. Let t(y) = 8*y. Let h(q) = -6*c(q) - t(q). Give p(h(m)).
-60*m**2
Let u(j) = -22*j - 1. Let h(z) = -3786*z + 3786*z + 2*z**2. Calculate u(h(g)).
-44*g**2 - 1
Let n(q) = -3*q. Suppose 3*v = -v + 24. Let g(j) = j - v*j + 3*j. Determine n(g(p)).
6*p
Let d(u) be the third derivative of u**5/60 + 14*u**2. Let n(j) = 0*j - 2*j + 3*j. What is d(n(b))?
b**2
Let r(f) = 896*f**2. Let l(y) = -3*y. Determine r(l(b)).
8064*b**2
Suppose -2*q = -t, -5*q + q + 6 = t. Let l(p) = 0*p**t - 5*p**2 - 3*p**2 + 5*p**2. Let z(j) = -3*j. Determine l(z(x)).
-27*x**2
Let x(j) = -6*j**2. Let g(w) = -1173*w. What is g(x(n))?
7038*n**2
Let j(l) be the second derivative of l**4/3 - 7*l. Let h(c) = 2*c**2. Calculate h(j(g)).
32*g**4
Let j(o) = 2*o**2. Let m(d) = -11*d**2 + 6. Let a(w) = -10*w**2 + 5. Let b(y) = -6*a(y) + 5*m(y). Calculate b(j(p)).
20*p**4
Let x be (-6 - -5) + 2*4. Let b(g) = x*g**2 + 6 - 6. Let p(j) = -j**2. Give p(b(h)).
-49*h**4
Let b(p) = -2*p + 3. Let a(d) = -3*d + 4. Let r(s) = -3*a(s) + 4*b(s). Let n(w) be the second derivative of -1/6*w**3 + 0 + 5*w + 0*w**2. Calculate n(r(f)).
-f
Let s(r) = 3*r. Let a(m) be the first derivative of -2*m**3/3 - 6. Determine a(s(k)).
-18*k**2
Let o(s) = -1382*s - 2*s**2 + 1382*s. Let q(u) = -u**2 + 5*u**2 - 2*u**2. Calculate o(q(n)).
-8*n**4
Let o(w) = -2*w**2. Let b(q) be the second derivative of -5*q**4/12 + 8*q. Determine b(o(t)).
-20*t**4
Let m(d) = 5*d**2. Let c(u) be the second derivative of 2*u**3/3 + 8*u. Determine c(m(g)).
20*g**2
Let l(i) = -5*i**2. Let n(r) = 3*r - 12. Calculate n(l(m)).
-15*m**2 - 12
Let w(g) = -2*g**2. Let u(j) be the first derivative of 0*j**2 - 1/2*j**3 + 3 + 2*j. Let a(l) be the first derivative of u(l). Determine a(w(t)).
6*t**2
Let d(c) = -21*c**2. Let z(y) = -13*y + 2. Determine d(z(i)).
-3549*i**2 + 1092*i - 84
Let g(z) be the second derivative of z**4/6 + 4*z. Let k(q) be the first derivative of 0*q**2 - 4 + 3 - q**2. Calculate k(g(v)).
-4*v**2
Let m(k) = 2*k. Let l(s) = 2239*s**2. Give l(m(x)).
8956*x**2
Let u(q) = 6*q**2. Let s(l) = l**3 | {
"pile_set_name": "DM Mathematics"
} |
be t(10). Suppose -q*u = -424*u - 5180. What is the units digit of u?
8
Suppose 0 = 5*a - 4*a. Let s(h) = 2*h**3 + h**2 + h + 3. Let v be s(0). Suppose -v*j + 44 + 97 = a. What is the tens digit of j?
4
Let u be (3048/20)/(9/60). Suppose -2*g + 1266 = -4*y, y - 1498 - u = -4*g. What is the hundreds digit of g?
6
Let g(f) = f**2 - f**3 + 13*f - 13*f**2 + 1 - 12. Let w = -3996 + 3982. What is the tens digit of g(w)?
9
Let h = 98 - 85. Suppose -10*k - 1764 = -h*k. What is the hundreds digit of k?
5
Suppose 0 = -24*h + 22*h - 438. Let g = -53 - h. What is the hundreds digit of g?
1
Let v be (-5)/5 + 14*(-3)/6. Let r(z) = z**3 + 5*z**2 - 16*z + 16. Let l be r(v). Let i = l + 62. What is the units digit of i?
4
What is the tens digit of 5/(-15)*(22 + 5) - -29055?
4
Let p(o) = 6*o + 44. Let b be p(-6). Let x = 4 + 0. What is the units digit of x/b*-2 + 83 + 3?
5
Suppose 0*q = 2*q - 16. Suppose -q + 0 = f. Let x(u) = -12*u - 22. What is the units digit of x(f)?
4
Suppose o = -5, -a + 197 = 2*o - o. Suppose -b + 0*b - 4*n + 110 = 0, -532 = -5*b - 2*n. Let s = a - b. What is the units digit of s?
6
Suppose 0*j - 4645 = -5*j. Suppose -8*h + j = -6*h - n, -5*h + 2310 = -5*n. What is the tens digit of h?
6
Suppose -2*q + 96997 = -u, -24*u + 10 = -22*u. What is the ten thousands digit of q?
4
Let o(a) = -a**3 + a**2 + 5*a - 4. Let m be o(2). Suppose -3*k + 0 - 4 = -5*j, -m*k - 4 = -4*j. What is the units digit of 3*j/3 + 76?
8
Let i(x) = 228*x - 2666. What is the thousands digit of i(47)?
8
Suppose 5*b - 62 - 3 = 0. Let x(a) = a**2 - 13*a - 10. Let v be x(b). Let u = 41 - v. What is the tens digit of u?
5
Let h = 1096 - 1633. Let p = -304 - h. What is the units digit of p?
3
Suppose 14*j - 266 = 209 - 69. What is the units digit of j?
9
Let f = -9452 + 24457. What is the tens digit of f?
0
Let o = 85 + -35. Suppose 0 = -2*z + o + 36. Suppose -47*w + z*w = -232. What is the tens digit of w?
5
Let l be (-1)/(-1)*40/(-40). What is the tens digit of (-2)/((-1)/(-71)*l)?
4
Let s = -63914 - -115070. What is the thousands digit of s?
1
Let x(v) = -v**2 - 23*v - 56. Let c be x(-5). Suppose 51*n - c*n - 14246 = 0. What is the tens digit of n?
3
Suppose 0 = 35*z - 26334 - 128191. Suppose 0 = -12*s + 4105 + z. What is the tens digit of s?
1
Suppose 0*i + 2*i - k = 32453, 32463 = 2*i + k. What is the ten thousands digit of i?
1
Suppose -s = c - 4 + 7, 10 = -4*c - 5*s. Let u be -6*7/(-105) + 12/c. What is the tens digit of (140/(-49))/(u/35)?
5
Suppose 2304 = 4*h + 3*d, -79*d + 78*d - 2861 = -5*h. What is the units digit of h?
3
Suppose 5*c - 35982 = -3*a, -4*c = 3*a - 35635 + 6847. Suppose 5*r + 1059 = c. What is the tens digit of r?
2
Let q = -81 + 86. Let k be (18/(-24) - (-1)/(-4)) + q. What is the units digit of k/14 + (-1336)/(-28)?
8
Let b = -2 + 7. Suppose -1 = -j, 10*j - 5*j = -3*r + 122. Suppose -z = -r - b. What is the tens digit of z?
4
Suppose -3*r = q - 39425, 159*r - 158*r + 197013 = 5*q. What is the hundreds digit of q?
4
Let v = -20952 - -48963. What is the thousands digit of v?
8
Let v be (-442)/(-130) - (0 + (-4)/(-10)). Suppose v*u - 4*u = -4*q + 1487, -2*q - 4*u = -730. Suppose 5*y + 6 = q. What is the units digit of y?
3
Suppose 2*d = -5*p + 5, -d - 4*p = -3*d - 22. Let o(c) = -6*c**3 - 6*c**2 + 20*c + 31. What is the units digit of o(d)?
1
Let o = 3221 + -4807. What is the hundreds digit of 3/(-9) - (o/6 + 2)?
2
Let u = 66591 - 9838. What is the ten thousands digit of u?
5
Suppose 7*y - 73335 = -0*y + 11498. What is the hundreds digit of y?
1
Suppose 0*b = -5*b + 4*a + 116, a = b - 24. Suppose -7*i = -b - 29. Suppose i*n = n + 654. What is the units digit of n?
9
Let o be (-64 - -64) + (0 + 1)*(-4400)/(-20). Let k be (1 - 0)/(2/10). Suppose -4*f + k*d + o = 0, -6*f + 252 = -2*f + 3*d. What is the tens digit of f?
6
Let a be (12/15)/(32/20)*6. What is the thousands digit of (-14 - a)/((-3)/330)?
1
Let n(y) = -2*y**3 + 6*y**2 + 2*y + 9. Let x be n(5). Let r = 21 + x. Let m = r + 155. What is the units digit of m?
5
Suppose 33 = -21*g + 10*g. Let r be 4/g + (-1208)/(-6). Let t = r + -51. What is the tens digit of t?
4
Suppose -8*i + 12 = -5*i. Suppose i*s + 0*h - 2*h = 0, -2 = -3*s + h. Suppose 0*n - n = -5*w + 127, s*w - 56 = 3*n. What is the units digit of w?
5
Let p = -9765 + 20824. What is the thousands digit of p?
1
Let z(p) = -60*p**3 + p**2 + p - 1. Let a be z(1). Let j = -51 - a. What is the tens digit of ((-645)/(-20))/(((-15)/j)/(-5))?
8
Let r(n) = 2*n**2 + 27*n - 8. Suppose -150 = 6*m - 12. What is the tens digit of r(m)?
2
Let l(r) = -395*r + 8336. What is the thousands digit of l(-63)?
3
Let n be 3 - 0/(5 + (-4 - 0)). Suppose -5*b + 1590 = 5*t, 3*t + 8*b - 948 = n*b. What is the units digit of t?
1
Let t(b) = b**3 + 7*b**2 - 16*b + 15. Let s be t(-9). What is the hundreds digit of ((-5788)/(-6))/2 - 2/s?
4
Let a(r) = 5*r**2 - 7*r - 140. What is the units digit of a(-55)?
0
Let r be (-2)/((-39)/(-20) + -2). Let t = 40 + -29. Suppose 15*z - t*z - r = 0. What is the units digit of z?
0
Let d = -331 - -482. Let q = d + 269. What is the units digit of q?
0
Let y(a) = 664*a**2 - 845*a + 5046. What is the tens digit of y(6)?
8
Let l(h) = -4*h + 17. Let a(k) = 2*k + 1. Let f(t) = 4*a(t) + 4*l(t). What is the tens digit of f(-14)?
8
Let k(d) = -4*d + 728. What is the tens digit of k(53)?
1
Suppose 182*g + 118080 = 194*g. What is the units digit of g?
0
Suppose 3*y - 4 = 2*q + 1, 4*q = 2*y - 14. What is the hundreds digit of (-6630)/q + (-11)/22?
6
Suppose -1 = p, 5*y + 0*p - 8 = 3*p. What is the hundreds digit of y*1222 - 3/(-12)*-8?
2
Let f(t) = 9*t + 78. Let w be f(-9). Let p(v) = 15*v**2 + 2*v - 4. What is the hundreds digit of p(w)?
1
Suppose 17*r - 34389 + 5693 = 0. Suppose 2*p + 5*z - r = 0, -10*p + 5*z - 2527 = -13*p. What is the tens digit of p?
3
Suppose -2645266 = -365*a + 8228449. What is the ten thousands digit of a?
2
Let f(w) = w**3 + w + 2. Let v(s) = 2*s**2 + 13*s + 1. Let y be v(-7). What is the tens digit of f(y)?
2
Suppose 65*i - 59*i = 12. Let y(z) = 165*z - 3. What is the units digit of y(i)?
7
Suppose 24*x - 7*x = 272. Suppose -8450 = -9*u - x*u. What is the hundreds digit of u?
3
Suppose 0 = -0*n - 43*n + 30143. Let r = n - 413. What is the tens digit of r?
8
Suppose 2651106 - 371387 = 377*y. What is the units digit of y?
7
Suppose y = -452*y + 2731137. What is the hundreds digit of y?
0
Let k be (-2 - -2 - 2)*4. Suppose -51 + 47 = 2*c, p - 1 = 2*c. What is the units digit of (-478)/p - ((-48)/18)/k?
9
Let l(x) = -x**3 + 11*x**2 - 7*x - 14. Let j be l(10). Let r = 0 + j. Suppose 5*w - r - 4 = 0, 4*q - 200 = -5*w. What is the tens digit of q?
4
Suppose -4*x + 52*k - 56*k = -47212, 3*x - 3*k - 35433 = 0. What is the tens digit of x?
0
Suppose 3*w = -3*i + 5*i + 3, 9 = -w + 4*i. Suppose 46 = -4*l + w*n + 1454, -2*l = -3*n - 704. What is the hundreds digit of l?
3
Suppose -m + 32 = -3*m + g, 3*g = -m - 2. Let a = 16 + m. Suppose -80 = -a*o + 2*z, 5*o + 4*z - 220 = 5*z. What is the units digit of o?
5
Let w(a) = -a**2 + 10*a + 7. Let z be w(9). Let s(i) = -i**3 + 17*i**2 - 17*i + 26. Let r be s(z). What is the tens digit of (30 + -2)*(r + -9)?
2
Let d = 627 + -125. Let v = d + -332. What is the hundreds digit of v?
1
Let j = -38 - -42. Suppose 5*i + 4 = -2*d + 35, 14 = j*i - 2*d. Suppose -2*t + 122 = 5*v, i*t + 0*v - 2*v = 334. What is the tens digit of t?
6
Let t(m) = m**3 + 2*m**2 - 13*m - 14. Let u be t(-4). What is the tens digit of (1*5 - (9 - u))*178?
5
Suppose 0 = -13*q + 14*q - 5. Suppose -x = -q*l + 3*x + 75, -50 = -5*l - x. Let m = 52 - l. What is the tens digit of m?
4
Suppose 3*l = -3*o - 3801, 14*o - 16*o + 2 = 0. Let t = l - -2623. What is the hundreds digit of t?
3
Suppose 4*q = 9 - 1. Suppose 2*y = -q*j - 4, 3*j + 1 = -5. Suppose 2*k - 550 + 38 = y. What is the units digit of k?
6
Let w = -4527 - -19291. What is the units digit of w?
4
Suppose 5*s + 3*i = 52560 - 8568, -2*i - 12 = 0. What is the thousands digit of s?
8
Let p(g) = -33*g - 262. Let h be p(-8). What is the tens digit of (1 - h/10)/(39/43290)?
8
Let n(g) = -17*g**2 + 14*g + 7*g**2 + g**3 - 2 - 13. Let d be n(9). Suppose 768 = d*i - 24*i. What is the units digit of i?
8
Suppose 0*z = -3*z - 342. Let x = 6478 - 6428. Let k = x - z. What is the te | {
"pile_set_name": "DM Mathematics"
} |
= 6*v. Let n(t) be the third derivative of t**4 - 4*t**2 + 5*t. Calculate n(g(x)).
144*x
Let l(s) = 5*s**2 - 3*s. Let u(m) = m**2 - m. Let c(r) = 2*l(r) - 6*u(r). Let t(n) be the third derivative of -n**5/4 + 34*n**2. Determine c(t(d)).
900*d**4
Let q(u) = -8*u**2. Let o(h) be the second derivative of -h**3/3 + 143*h**2/2 - 4*h - 57. Calculate o(q(p)).
16*p**2 + 143
Let x(r) = 311*r**2. Let h(p) = 147*p - 2. Give h(x(v)).
45717*v**2 - 2
Let f(k) = -398*k**2. Let b(j) = -130*j**2. What is b(f(o))?
-20592520*o**4
Let x(y) = -132*y**2 + 18*y - 9. Let f(c) = 67*c**2 - 8*c + 4. Let p(g) = 9*f(g) + 4*x(g). Let v(b) = -2*b. Give p(v(h)).
300*h**2
Let u(f) be the first derivative of -6*f**2 - 169. Let x(z) = 4*z. What is u(x(w))?
-48*w
Let k(d) = -d. Suppose 0 = t + 4*q - 2 - 8, -22 = t - 4*q. Let u = 8 + t. Let w(a) = -a**2 - 3*a**2 + a**u + 2*a**2. Determine k(w(b)).
b**2
Let l(q) = -3*q - 5. Let m(t) = 2*t**2 + 30*t. Give l(m(n)).
-6*n**2 - 90*n - 5
Let j = 6 - -1. Let l(q) = 7*q**2 + j*q**2 - 6*q**2. Let z(b) = -34*b + 17*b + 16*b. What is l(z(d))?
8*d**2
Let w(s) = s + 3738. Let o(z) = 2*z. Calculate o(w(q)).
2*q + 7476
Let i(l) = -2*l. Let f be (-8)/(-20) + (-16)/(-10). Let w be (f/(-5))/((-2)/70). Let u(q) = -w + 14 + q. Determine i(u(r)).
-2*r
Let l = 5 - 9. Let x be (-15)/(-5)*l/(-3). Let d(w) = x*w - w + 0*w. Let h(s) = 4*s. Determine h(d(n)).
12*n
Let t be 1/((-108)/52 - -2). Let x be (-1 + 2 + t)/(-2). Let u(l) = x*l - 2*l**2 - 6*l. Let h(y) = 4*y. What is u(h(m))?
-32*m**2
Let a(x) = 12*x. Let f(k) be the third derivative of k**6/360 + 5*k**3/3 - 10*k**2. Let y(j) be the first derivative of f(j). Determine y(a(c)).
144*c**2
Let l(m) = -4*m. Let y(s) be the first derivative of -s**3 + 7*s**2/2 - 7*s - 10. Let c(j) = 2*j**2 - 5*j + 5. Let v(r) = 7*c(r) + 5*y(r). Calculate l(v(x)).
4*x**2
Let l(w) = 5*w. Let s(m) = 3*m**2 - 15*m. Let i(v) = -v**2 + v. Let u(p) = 15*i(p) + s(p). Determine l(u(z)).
-60*z**2
Let f(c) = -11*c**2 + 2*c. Suppose j = 2*o - 14 - 9, -5*j = -5*o + 55. Let r(n) = 19*n - 29*n + o*n. What is r(f(z))?
-22*z**2 + 4*z
Let k(s) = 12*s**2. Suppose -x - 4 = -2*r + 4, 3*x - 18 = -r. Let m be (9/r)/((-24)/(-32)). Let v(y) = -6*y**m - 2*y**2 + 10*y**2. What is k(v(b))?
48*b**4
Let r(g) = -11*g**2. Let c(z) = -114098*z. Determine r(c(i)).
-143201889644*i**2
Let p(r) = 27*r**2 - 26*r**2 + 8 + 10*r - 2*r. Let g be p(-7). Let k(s) = s + 2 - g - 1. Let x(d) = -18*d**2. Give x(k(t)).
-18*t**2
Let r(h) = h. Let n(t) be the second derivative of 145*t**4/12 - t**2/2 - 661*t. Determine n(r(y)).
145*y**2 - 1
Let d(b) be the first derivative of 22*b**3/3 + 62. Let n(i) = -2*i**2. What is n(d(l))?
-968*l**4
Let k(l) = 16*l. Let i(t) = 71*t**2 - 80. Calculate i(k(x)).
18176*x**2 - 80
Let n(v) be the second derivative of -v**3/6 - v. Let t(j) be the third derivative of j**5/2 - 92*j**2 + 12*j. Determine t(n(w)).
30*w**2
Suppose -3*q + 28 = u - 3*u, -5*q + 5 = 5*u. Let d(c) = c + 7 - 1 - q. Let m(o) = -2*o**2. What is d(m(v))?
-2*v**2
Let r(z) = -14*z. Let d(w) be the third derivative of 0*w + 0*w**3 + 22*w**2 + 1/6*w**4 + 0. Give r(d(t)).
-56*t
Let s(b) = -25*b - 10. Let d(j) = -31*j - 12. Let f(y) = 5*d(y) - 6*s(y). Let x(c) = -208*c. Give f(x(l)).
1040*l
Let k(m) = 2 + 3*m - 7 + 5. Let c(d) = -6*d - 15. Give c(k(f)).
-18*f - 15
Let y(l) = -3*l. Let f(r) = 34829*r + 7. Give y(f(p)).
-104487*p - 21
Let a(x) = -68*x - 92*x + 155*x. Let d(t) = -5*t**2 + 4. Give d(a(n)).
-125*n**2 + 4
Let k(q) = -8*q. Let h(x) = x - 7*x + 0*x. Determine h(k(l)).
48*l
Let b(y) be the third derivative of 7*y**5/60 - y**3/6 + 19*y**2 - 3*y. Let n(o) = 3*o. Give n(b(g)).
21*g**2 - 3
Let p(o) = -6*o**2 + 8993*o - 2. Let j(g) = -2*g. What is p(j(k))?
-24*k**2 - 17986*k - 2
Let o(g) = -2*g - 1. Let v(p) = 30*p + 5. Let j(c) = 6*o(c) + v(c). Let q(n) = -n**2. Give q(j(l)).
-324*l**2 + 36*l - 1
Let r(g) = 34*g**2. Let x(v) be the third derivative of -v**5/15 + 11*v**2 + 12. What is x(r(b))?
-4624*b**4
Let y(x) = 2*x**2. Let q(s) be the third derivative of 4*s**7/315 + 3*s**4/8 - 12*s**2. Let f(l) be the second derivative of q(l). Calculate f(y(t)).
128*t**4
Let f be ((-24)/(-28))/((-2)/(-14)). Let b(a) = 0 - f*a**2 + 0 + 7*a**2. Let v(k) = -k. Determine v(b(p)).
-p**2
Let s(v) be the second derivative of 0*v**2 - 11*v + 0 + 7/6*v**3. Let r(d) = 5*d**2. Calculate s(r(l)).
35*l**2
Let t(k) = 36*k + 4. Let x(b) = 13*b**2. Give t(x(w)).
468*w**2 + 4
Let r(m) = -2 + 2 + 2*m**2. Suppose -2*x + 190 = -2*y - 158, 2*x - 336 = 5*y. Let k(n) = -x*n + 85*n + 85*n. Give r(k(g)).
128*g**2
Let p(w) = -2 + 3*w + 6*w - 9*w + 23*w**2. Let a(u) = -u - 1367 + 1367. Determine a(p(t)).
-23*t**2 + 2
Let s(a) = -24*a + 70*a - 28*a - 20*a. Let b(m) be the first derivative of -m**6/120 - 2*m**3/3 + 2. Let w(l) be the third derivative of b(l). Give s(w(h)).
6*h**2
Let h(p) = -7*p. Let c(m) be the third derivative of 4*m**2 + 0*m**3 + 0*m + 13/24*m**4 + 0. Let x(a) = 6*c(a) + 11*h(a). Let r(g) = -5*g. Determine x(r(o)).
-5*o
Let g(n) = -3*n**2. Let o(i) = 12*i + 6*i - 4 - 4 - 19 - 20*i. Give o(g(s)).
6*s**2 - 27
Let s(v) = -31*v**2 + 6*v + 12. Let h(i) = 5*i**2 - i - 2. Let n(o) = -30*h(o) - 5*s(o). Let m(y) = -2*y - 41. Give m(n(l)).
-10*l**2 - 41
Let l(m) = -104227*m**2. Let y(f) = 2*f. Give l(y(r)).
-416908*r**2
Let s(m) = 38*m**2 - 2. Let u(h) = 2*h - 235. Calculate s(u(g)).
152*g**2 - 35720*g + 2098548
Let h(l) = -24*l**2. Let g(q) = 6*q**2 - 1. Let y(d) = 5*d**2 - 1. Let k(f) = 2*g(f) - 2*y(f). Give k(h(m)).
1152*m**4
Let s(a) = 434*a**2 + 1. Let x(d) = 7*d - 5. Calculate x(s(j)).
3038*j**2 + 2
Let n(w) = -85*w + 180. Let g(x) = 6. Let i(h) = -30*g(h) + n(h). Let a(f) = f**2. What is a(i(r))?
7225*r**2
Let t(m) = -6*m. Let k(x) = -251*x + 23. What is k(t(y))?
1506*y + 23
Let s(w) = 117*w. Let x(a) be the third derivative of a**5/30 - 7*a**2 - 7*a. What is x(s(o))?
27378*o**2
Let m(x) = 7*x + 3. Let h(d) = -5*d - 2. Let l(n) = -3*h(n) - 2*m(n). Let j(o) = -24*o**2 - 2*o. What is j(l(b))?
-24*b**2 - 2*b
Let k(i) be the second derivative of -i**4/6 + 22*i. Let m(h) = -3 - 4 + 2*h + 0*h + 0*h. What is m(k(j))?
-4*j**2 - 7
Let u(l) be the second derivative of -l**7/2520 + 7*l**4/6 - 18*l. Let a(k) be the third derivative of u(k). Let f(v) = 26*v**2. What is a(f(m))?
-676*m**4
Let j be 7/14 - (7/(-2))/1. Let x(q) = -5*q**2 - 5. Let g(b) = 5*b**2 + 4. Let d(v) = j*x(v) + 5*g(v). Let u(n) = -12*n. What is d(u(w))?
720*w**2
Let w(k) = -25*k - 266. Let y(g) = 9*g + 88. Let j(l) = 4*w(l) + 11*y(l). Let f(b) = b**2. What is j(f(o))?
-o**2 - 96
Let j(u) = 15*u**2 + 14. Let s(l) = -8*l**2 - 8. Let t(i) = 4*j(i) + 7*s(i). Let q(p) = 30*p**2. Give t(q(d)).
3600*d**4
Let r(p) = -31*p + 9. Let k(q) = 67*q. Let w(c) = 11*c. Let x(v) = -k(v) + 6*w(v). Determine r(x(m)).
31*m + 9
Let c(y) = -151*y. Let u(b) = -29*b - 6. Let m(v) = 19*v + 4. Let f(t) = -3*m(t) - 2*u(t). Give c(f(d)).
-151*d
Let x be 5 - (-4)/(4/(-3)). Let y(n) = -35*n**2 + 12*n**x + 13*n**2 + 8*n**2. Let u(t) = -3*t**2. Calculate y(u(k)).
-18*k**4
Let s(p) = p. Let h(j) = 144*j**2 - 279*j**2 + 155*j**2. Give h(s(z)).
20*z**2
Let u(a) = -10*a. Let h(z) = 3*z**2 - 3 - 8*z + 0 - 1. Let y(c) = -5*c**2 + 14*c + 7. Let r(p) = -7*h(p) - 4*y(p). What is u(r(g))?
10*g**2
Let z(b) be the third derivative of -b**4/24 + 3*b**2 + 45. Let u(c) = -64*c - 8. Let d(w) = 43*w + 5. Let h(j) = 8*d(j) + 5*u(j). Give z(h(q)).
-24*q
Let r = 42 + -40. Let m(i) = i + 1. Let h(t) = t**2 - 2*t - 2. Let d(z) = r*m(z) + h(z). Let b(c) = -37*c**2. Give d(b(q)).
1369*q**4
Let n(o) = o. Let l(m) = 56*m - 2. Let s(y) = -729*y + 27. Suppose 20*b = 25*b - 135. Let g(t) = b*l(t) + 2*s(t). Calculate g(n(x)).
54*x
Let p(l) = -l**2. Let w(a) be the first derivative of -109*a**2/2 + 2*a + 123. Determine p(w(r)).
-11881*r**2 + 436*r - 4
Let x(p) = 3*p. Let y(r) = r - r**2 + 6*r - 1 + 5*r. Let s be y(8). Let t(c) = -s*c + 31*c + 3*c**2. What is x(t(v))?
9*v**2
Let s(x) = 8*x**2 + 6. Let w(f) = 15*f**2 + 11. Let z = 7 + 4. Let l(i) = z*s(i) - 6*w(i). Let q(n) = 20*n. Calculate q(l(h)).
-40*h**2
Let t(z) = 161*z**2. Let f(n) = -243*n. Give t(f(k)).
9506889*k**2
Let m(l) be the first derivative of -1294*l**3/3 - 281. Let q(k) = -2*k**2. Calculate q(m(v)).
-3348872*v**4
Let w(h) = 4*h - 10 | {
"pile_set_name": "DM Mathematics"
} |
50*v for t.
-8
Solve 4*j + f - 16 = 0, 157*j - 162*j = 4*f - 20 for j.
4
Solve -1144 = 4*p - 3*t - 1171, 0 = -2*p + 42*t + 54 for p.
6
Solve 2*d - 27 = 3*a, 396*d = -5*a + 394*d - 13 for a.
-5
Solve -m - 6 = -272*b + 274*b, 0 = 7*b for m.
-6
Solve 88*u - p - 14 = 83*u, u + 5*p = 8 for u.
3
Solve 2*a - 25 = -3*t, -8*a = -37*t + 32*t - 15 for t.
5
Solve 15 = 4*m + q, 63*m + 34*q + 27*q - 250 = 59*q for m.
4
Solve q - 392*d = -373*d + 18, -4*q - 2*d - d = 7 for q.
-1
Solve 4*p + 2*c = -16, 0 = -5*p + 187*c - 185*c + 34 for p.
2
Solve 1 = -n - 4*k, 0 = -11*n - 2*k + 692 - 703 for n.
-1
Solve 3*r + 3 = -3*b - 2*b + 2*b, 5*r + 7 = -4*b for b.
2
Solve 395 = -5*c - 2*r + 403, 8 = 2*c + 2*r for c.
0
Solve -5*n + 1300 = -2*g + 1284, 4*g - 28 = -5*n for g.
2
Solve 13*q - 11*k = -6*k + 64, q - 4*q + 14 = -k for q.
3
Solve 2*u - 55 = -3*v, 0 = -34*u + 31*u + 3*v - 30 for u.
5
Solve -3*m + 5*c - 34 = 0, -m - 4*c + 3263 - 3246 = 0 for m.
-3
Solve -4*w + 1 = u, 2*u + w - 7 = 2 for u.
5
Solve 0 = 2*p - 11*z - 37, -4*p - 6*z + 11*z + 57 = 0 for p.
13
Solve -k = -7*a + 15 - 30, 0 = 4*k - 4 for a.
-2
Solve 20*d = -5*n - 425, 110 = -5*n - 1591*d + 1586*d for n.
-1
Solve 4*f - 61 = s, -2*f + 48 = -328*s + 324*s for f.
14
Solve -13*i + 2*t - 11 = -10*i, 5*i + 21 = 4*t for i.
-1
Solve 4*q - 37*v + 36*v = 10, 0 = -2*q - 2*v for q.
2
Solve -10*w + 11*w = -3*w - t - 10, -7*t + 4*t = -3*w for w.
-2
Solve -2*z = -3*s - 11, -5*z + 52 = 39*s + 71 for s.
-1
Solve 3*u = k - 15, 2*u = -2*k - 26 + 16 for k.
0
Solve -4 = -i + 1828*s - 1829*s, 2*i - 8 = s for i.
4
Solve -b + 39 = 4*c, 0 = -22*b + 20*b + 4*c - 30 for b.
3
Solve -9*r - 81 = 3*t - 12, -4*r = t + 32 for r.
-9
Solve -14*p + 11*p = -3*b + 6, -8 = p + 2*b for p.
-4
Solve -g = 4*h - 13, 91*h - 154 = 2*g + 54*h for g.
-3
Solve 2*t + 33 = -3*k, 60*t = -k + 59*t - 14 for k.
-5
Solve -12*f + 3*k + 36 = 0, -4*f + 5*k - 26 + 134 = 0 for f.
-3
Solve -m - 90 + 93 = -3*f, -10*f + 9 = 3*m for m.
3
Solve 5*z + 6 = a + 12, 5*a - 5*z + 90 = 0 for a.
-21
Solve -630 + 633 = k + l, 4 = -2*l for k.
5
Solve 24 = 2*s + 26, o = -s for o.
1
Solve 2*a = 11*d - 54, 1231*a - 1227*a + 12 = -2*d for d.
4
Solve m + 2708 - 2689 = -5*q, -7 = 2*q + m for q.
-4
Solve -3*q + 2*q + 159 = 10*q - 5*m, -m = 1 for q.
14
Solve -5*j - 3*x + 48 = 0, -597*x = 2*j - 600*x - 15 for j.
9
Solve -2*b - 2*l = -18, 3*l = -b + 254 - 231 for b.
2
Solve 0 = 5*z - d + 25, 10 = 458*z - 460*z + 3*d for z.
-5
Solve 158*y - 8 = 161*y - 4*m, -30 = 5*y - 15*m for y.
0
Solve 9309*n + 2*r = 9306*n - 29, n = 2*r + 33 for n.
1
Solve 12 = 5*s + 2*h, -3*s + 5*h + 221 = 189 for s.
4
Solve 3*z = -2*q - 31, 3*q - 15034*z = -15032*z + 12 for q.
-2
Solve 0 = 4*h - 261*g + 258*g - 39, 0 = -3*h + 4*g + 38 for h.
6
Solve -26*n - 128 = -2*a, 2*n = 4*a + 19 - 25 for a.
-1
Solve 0 = -4*m + 3*s + 15, -3*m + 4*m - 2*s - 5 = 0 for m.
3
Solve 0 = 4*t - c + 39, -3*t - c + 1564 = 1602 for t.
-11
Solve 0 = 5*g + 3*l + 6, -414 + 435 = -2*g + 5*l for g.
-3
Solve -2*a - 5*w = 14 - 33, -4*a + 5*w - 37 = 0 for a.
-3
Solve 6 = -2*y + 8*d, 221*y + 2*d - 9 = 224*y for y.
-3
Solve 3*u - 19 = -4*f, 18147*u + 5*f = 18146*u + 10 for u.
5
Solve 2*f = 21235*d - 21232*d + 14, -13*f = -d - 91 for f.
7
Solve -2*w = -5*z + 11, -2*w - 1807 + 1808 = -z for z.
3
Solve 4*z - 962*n - 16 = -960*n, -n = 2 for z.
3
Solve -9*u + 51 = 3*k, 42*k - 2 = 40*k + 2*u for k.
5
Solve -58*i - 60 = -9*u - 53*i, -5*u = -5*i - 40 for u.
5
Solve -6 = 6*m - a, -5*m - 46*a + 47*a - 5 = 0 for m.
-1
Solve -312*v + 309*v - 2*w - 10 = 0, 4*v = -4*w - 8 for v.
-6
Solve 2*i + 16 = -4*c, -c = -3*i + 27 - 16 for i.
2
Solve -5*l + 24 = -4*x, 5816*l - 5817*l + 6 = -2*x for l.
4
Solve -j + 55 = 4*m + 30, 0 = 2*m + 4*j - 30 for m.
5
Solve 5*g = 6*k - 7*k - 14, -10 = 5*k + 5*g for k.
1
Solve -906*w = -909*w - i + 23, -33 = -3*w - 3*i for w.
6
Solve 0 = 5*f - 34*m + 30*m - 1, -4*f - 3*m + 7 = 0 for f.
1
Solve -b - 6 = 2*v, -306*b + 310*b - 6 = 2*v for b.
0
Solve -3*b + 17 = v + 22, 0 = 4*b - v + 16 for b.
-3
Solve 22 = 2*f + 3*m, -m = -2276*f + 2288*f - 64 for f.
5
Solve 2*d - 37*u = -32*u + 38, 12*u = 4*d - 84 for d.
9
Solve 0 = -j - 5*k + 2, 43*k - 4 = -2*j + 42*k for j.
2
Solve -5*a = -63 + 38, 17*c = a - 56 for c.
-3
Solve 9*f + 263*q - 3 = 258*q, -4*f + 5*q + 23 = 0 for f.
2
Solve -k + 11 - 47 = 5*p, -3*p = 5*k + 4 for p.
-8
Solve -3*k = 128*g - 130*g + 22, 0 = -3*g + 4*k + 31 for g.
5
Solve -2*j = 2*c - 20, 20 = 3*c + 149*j - 151*j for c.
8
Solve -3*h + r + 21 = 0, 3*h + 58*r - 61*r - 27 = 0 for h.
6
Solve 0 = -5*t - 20*g + 52 - 32, -4 = -t + 2*g for t.
4
Solve 4*b - 2*i + 3 = -7, 19 = -4*b - i for b.
-4
Solve 3*m - 2*g + 3 = 0, 139 = -22*m - g + 117 for m.
-1
Solve -33 = 5*v + q - 30, -v + q = 3 for v.
-1
Solve x = -3*f - 18, -1045*x = -1042*x - 2*f - 12 for x.
0
Solve 0 = 4*p + 4*r - 8, 5*p - r - 50 + 70 = 0 for p.
-3
Solve 4*h + 134*x - 139*x + 17 = 0, 4*h + 12 = 4*x for h.
2
Solve -134*c = 2*s - 133*c - 3, 0 = -4*s - 4*c - 4 for s.
4
Solve 0 = -2*v - 2*o + 141 - 159, -v + 5*o = -27 for v.
-3
Solve 4*f - 112*u + 47 = 111*u - 218*u, 5*f - 5*u + 50 = 0 for f.
-3
Solve 0 = 4*n + 3*x + 11, -2*x - 7 - 33 = -4*n - 46 for n.
-2
Solve -3*i = 2*y + 4, 14*y + 14*y - 51*y - 3*i + 80 = 0 for y.
4
Solve -2*k - 20 = 162*p - 158*p, -5*p + 2*k = 7 for p.
-3
Solve 0 = -5*v - 10197*s + 10192*s - 10, -16 = -4*v + 4*s for v.
1
Solve 3*l - 3*s = 3, -1461*l + 1463*l + 5*s = -12 for l.
-1
Solve 5*r - 6244*c + 6248*c + 10 = 0, 2*c = 3*r + 6 for r.
-2
Solve -3*m - 2*m + 15 = 0, 3*m + 43 - 40 = -6*s for s.
-2
Solve -7*y = 2*l - 4, 1905*y - 1910*y = 2*l for y.
2
Solve 0 = 3*f + f + 4*l - 8, 2*f - 72*l - 5 = -75*l for f.
1
Solve -9*h = -10*h + 17*c + 36, 8*h - 6 = -5*c for h.
2
Solve 16*r + 27 = -4*x + 21*r, 0 = -3*x + 2*r - 22 for x.
-8
Solve 0 = -4*c - 3*p - 44, -22*p = -23*p - 4 for c.
-8
Solve 0 = -8*x + 4*u - 16, 3*u - 166 = -2*x - 154 for x.
0
Solve 5*j - 9 = o, 0 = -9*o + 3*j - 6*j + 24 - 9 for o.
1
Solve 9*x = 10*x - 3*m + 19, -8*x + 10 = 3*m for x.
-1
Solve z - 2*a + 18 = 0, -5*z + 1828*a - 1827*a = 27 for z.
-4
Solve -5*w + 0 + 15 = -5*p, -p - 9 = 2*w for w.
-2
Solve 21*x - 23*x - 30 = -n, 2*n - 46 = 3*x for n.
2
Solve -4286*u + 4285*u + 4*r = 33, 0 = -3*u - 3*r + 6 for u.
-5
Solve -4*p - 2*t + 32 = 0, 0 = -6*p + 5*p + 3*t - 13 for p.
5
Solve -2*i + k - 2 = 0, 78*i - 79*i + 6*k + 21 = 0 for i.
-3
Solve -2*m - 16 = -k, 3*k + 549*m = 550*m + 13 for k.
2
Solve -6993*o + 6989*o - z + 1 = 0, 0 = -5*o - 2*z - 1 for o.
1
Solve 0 = 3*x - w - 13, -101*x + 102*x + 4*w = -13 for x.
3
Solve -3*m - 3 = 0, -5*c - 33*m - 69 = -c - 32*m for c.
-17
Solve d - 2*c - 4 = 0, -5*c + 3*c - 4 = 3*d for d.
0
Solve 322*h - 321*h + 2*a - 11 = 0, 0 = 3*h - 3*a - 6 for h.
5
Solve -26*u + 140 = -2*q, 3*q = -341 + 326 for u.
5
Solve -10*h + 5*f + 39 = -13*h, -2*f - 5 - 7 = 0 for h.
-3
Solve 240 = -30*y - 5*i, 17*y + 3*i + 49 = 18*y for y.
-5
Solve 4*c = g - 21, 25 = 3*g + c + 40 for g.
-3
Solve -60*i + 57*i = 2*x + 5, -2*x = 4*i + 6 for x.
-1
Solve 66*r = 71*r + 4*a - 7, -2*r = -3*a + 11 for r.
-1
Solve a = 27*t - 32*t + 23, 0 = a + t - 3 for a.
-2
Solve -2*n + 61*b + 14 = 68*b, -5*n = -4*b + 8 for n.
0
Solve -4 = -2*s - 6*d, 21*s - 16*s - 10 = -2*d for s.
2
Solve -3*k + 5*u = 36, -2*u = k - 5*u + 24 for k.
3
Solve -4*b = 4*c - 52, -5*b - 761 + 778 = -c for b.
5
Solve -13 = 3*h - b, 38262 = -2*h + 4*b + 38220 for h.
-1
Solve -v = 2*x + 28, -77*x + 79*x = 2*v - 28 for v.
0
Solve -102*a + 101*a - 3 = -x, 2*x + 12 = -4*a for a.
-3
Solve -5*c = 0, -3*j = -2*c + 13 - 19 for j.
2
Solve -94*d = -92*d - 6*g + 12, 0 = 2*d - 4*g + 12 for d.
-6
Solve -4*h - 12 = -4*g, 5*h - 154*g + 157*g = -23 for h.
-4
Solve -f = -4*f - 6, -f = 5*z + 7 for z.
-1
Solve -15*l - 3*d - 2*d + 3 = 7*l, -2*l = 3*d - 13 for l.
-1
Solve 20 = -53*u + 49*u - q, 4*u - q - 4 = 0 for u.
-2
Solve 5*n - 37 = -2*s, -4*n - 299*s - 28 = -301*s for n.
1
Solve -r = -18*h + 67, 13*h - 18*h + 30 = 2*r for h.
4
Solve 522*p - 521*p - 13 = 3*q, -8 = -3*q - 2*p for q.
-2
Solve 0 = -c - 3*v - 31, -13*v = -c - 9*v + 32 for c.
-4
Solve -3*z + 5*s = 1, 7*z = 3*z - 5*s + 22 for z.
3
Solve 3*d = -u - 40, 57041*d - 57044*d = -5*u + 16 for u.
-4
Solve 248*x - 250*x + 3*y - 8 = 0, -5*x - 20 = -12*y for x.
-4
Solve 5*g + 19 = 2*u, 5*g + 291 = -4*u + 284 | {
"pile_set_name": "DM Mathematics"
} |
3a
Convert 312323 (base 4) to base 6.
24135
-4524 (base 15) to base 13
-6898
Convert 10100000010 (base 2) to base 9.
1674
Convert -1404 (base 6) to base 2.
-101101100
-10cc (base 13) to base 12
-1451
Convert 220311 (base 4) to base 9.
3523
Convert -1132 (base 8) to base 5.
-4402
Convert 2135 (base 12) to base 6.
24505
-27451 (base 8) to base 16
-2f29
98b (base 12) to base 6
10255
What is -333 (base 9) in base 14?
-157
Convert -101111 (base 3) to base 14.
-163
What is -164 (base 9) in base 6?
-351
What is -40 (base 13) in base 10?
-52
Convert -1b87 (base 14) to base 9.
-6786
-1122111112 (base 3) to base 13
-119c6
-11d8 (base 16) to base 10
-4568
What is -3a1 (base 13) in base 8?
-1176
Convert 1131240 (base 5) to base 14.
7832
-429 (base 15) to base 14
-4b1
Convert 113 (base 4) to base 15.
18
What is -1172 (base 14) in base 8?
-5740
What is 100001001110 (base 2) in base 9?
2822
Convert 72745 (base 8) to base 4.
13113211
What is -1ce2 (base 15) in base 10?
-6287
What is -10136 (base 7) in base 10?
-2477
Convert -10240 (base 9) to base 15.
-2009
-4327 (base 8) to base 12
-1387
1011010101 (base 2) to base 11
5aa
What is -b435 (base 14) in base 16?
-7927
Convert d45d (base 14) to base 8.
107273
What is 2404 (base 12) in base 4?
333010
3554 (base 11) to base 13
2173
2921 (base 14) to base 3
100222200
-3100 (base 8) to base 16
-640
-1131 (base 11) to base 9
-2031
Convert -16224 (base 7) to base 12.
-2793
1436 (base 8) to base 13
495
Convert 1 (base 3) to base 2.
1
What is -311 (base 15) in base 16?
-2b3
-367 (base 15) to base 11
-642
What is 1716 (base 9) in base 4?
110133
What is -5cc8 (base 16) in base 8?
-56310
-127b (base 15) to base 10
-3941
Convert -23e (base 15) to base 10.
-509
Convert 626 (base 11) to base 5.
11004
What is -100101011 (base 2) in base 8?
-453
54422 (base 6) to base 3
101021212
-481 (base 14) to base 3
-1020020
What is 100111010110101 (base 2) in base 3?
1000122021
Convert 2265 (base 8) to base 12.
845
What is -230 (base 12) in base 8?
-504
What is -528 (base 11) in base 12?
-44b
Convert -123 (base 12) to base 6.
-443
What is 1000001001 (base 2) in base 4?
20021
What is -4972 (base 12) in base 14?
-3046
What is -234 (base 6) in base 4?
-1132
-1bc7 (base 14) to base 3
-20221222
What is 21304 (base 5) in base 16?
5ae
-9478 (base 10) to base 7
-36430
Convert -3323 (base 8) to base 6.
-12031
What is -1c3 (base 15) in base 6?
-1520
5183 (base 10) to base 12
2bbb
What is -7702 (base 9) in base 13?
-2774
3a (base 16) to base 14
42
2130 (base 6) to base 2
111100110
Convert -34330 (base 6) to base 11.
-3735
Convert -2531 (base 10) to base 13.
-11c9
Convert 302 (base 8) to base 3.
21012
What is -21045 (base 6) in base 5?
-42322
What is -1000100001110111 (base 2) in base 9?
-52826
What is 73505 (base 8) in base 9?
45785
What is -1379c (base 13) in base 14?
-d408
644 (base 12) to base 3
1020221
What is 22026 (base 7) in base 12?
3230
-12 (base 13) to base 6
-23
Convert 110010001100 (base 2) to base 8.
6214
-40207 (base 8) to base 14
-603d
-111ca (base 14) to base 12
-20052
What is -1479 (base 10) in base 16?
-5c7
110241 (base 5) to base 8
7355
2036 (base 7) to base 11
599
What is 143 (base 16) in base 5?
2243
Convert -350 (base 6) to base 11.
-116
-1013211 (base 4) to base 12
-2799
What is -2011110 (base 3) in base 16?
-62a
Convert 2055 (base 7) to base 3.
222220
Convert 1000001101101 (base 2) to base 10.
4205
Convert 1505524 (base 6) to base 11.
5a250
Convert 23302 (base 8) to base 12.
58aa
-2045 (base 10) to base 8
-3775
-3340 (base 6) to base 5
-11110
Convert -1233023 (base 4) to base 3.
-100202112
What is 1c3 (base 16) in base 5?
3301
6c0 (base 13) to base 14
5d8
Convert -1122330 (base 4) to base 8.
-13274
What is 102350 (base 6) in base 13?
3a50
1515 (base 7) to base 5
4400
6fe (base 16) to base 4
123332
-44b (base 14) to base 13
-506
-145154 (base 6) to base 13
-6565
What is 10201110 (base 3) in base 12?
16a0
What is -1792 (base 12) in base 13?
-13ac
What is -da (base 14) in base 5?
-1232
What is 22020 (base 5) in base 8?
2746
33012 (base 6) to base 14
1928
Convert -54684 (base 9) to base 3.
-1211202211
-43ca (base 16) to base 11
-12047
Convert 2628 (base 11) to base 2.
110101011010
-8a (base 11) to base 7
-200
What is 26e0 (base 15) in base 11?
6275
Convert -77 (base 16) to base 11.
-a9
Convert 19a (base 15) to base 2.
101110010
1605 (base 14) to base 12
2331
What is -1111011 (base 3) in base 4?
-100330
What is -1661 (base 8) in base 12?
-669
Convert 3a9 (base 15) to base 7.
2301
What is 105 (base 8) in base 12?
59
What is 28c (base 16) in base 4?
22030
What is 227 (base 9) in base 12?
137
What is 4483 (base 13) in base 14?
36b9
Convert -133032 (base 4) to base 6.
-13130
What is 222232 (base 5) in base 16?
1e89
What is -1110011101 (base 2) in base 8?
-1635
Convert -10433 (base 5) to base 12.
-51b
Convert a76 (base 14) to base 11.
1607
214 (base 10) to base 15
e4
14211 (base 5) to base 6
5245
-310320 (base 4) to base 10
-3384
-45 (base 9) to base 6
-105
What is 8a (base 14) in base 13?
95
-611 (base 11) to base 14
-3aa
-194 (base 14) to base 7
-644
Convert -196 (base 13) to base 11.
-246
-1009 (base 10) to base 6
-4401
What is 2121120101 (base 3) in base 11?
35719
Convert -16840 (base 10) to base 7.
-100045
Convert 145b (base 12) to base 16.
947
What is 2ab (base 14) in base 13?
32a
What is -5 (base 16) in base 8?
-5
-2b06 (base 12) to base 6
-35210
-10279 (base 13) to base 12
-14947
Convert -b2aa (base 15) to base 3.
-1220202121
What is 25386 (base 9) in base 4?
10023000
What is -46c (base 15) in base 12?
-6b6
What is 499c (base 14) in base 6?
135342
Convert 120210001 (base 3) to base 12.
67a7
What is 6117 (base 10) in base 3?
22101120
Convert 1044 (base 13) to base 11.
1769
Convert -771 (base 9) to base 11.
-524
What is -1313 (base 5) in base 6?
-544
What is 1100110 (base 3) in base 14?
504
Convert 7629 (base 14) to base 16.
4fc5
Convert 3346 (base 7) to base 8.
2272
What is -1023222 (base 4) in base 16?
-12ea
What is 101201122 (base 3) in base 5?
222240
Convert -2cc (base 15) to base 6.
-2550
6493 (base 10) to base 6
50021
Convert 31444 (base 5) to base 11.
1661
Convert -2a1 (base 13) to base 10.
-469
Convert -451330 (base 6) to base 12.
-19b46
What is 2442 (base 9) in base 7?
5210
727 (base 12) to base 10
1039
-30ac (base 16) to base 8
-30254
What is 26d3 (base 16) in base 11?
7516
What is -1bbb (base 16) in base 8?
-15673
What is 626a (base 11) in base 2?
10000001110000
Convert -509 (base 10) to base 2.
-111111101
Convert -3c7a (base 14) to base 5.
-320232
What is 1032201 (base 4) in base 13?
2397
What is -3a0 (base 14) in base 11?
-602
-223125 (base 6) to base 3
-221211222
What is -1408 (base 11) in base 3?
-2111112
Convert -12f (base 16) to base 5.
-2203
10212 (base 4) to base 15
149
12022200 (base 3) to base 4
330213
What is 2575 (base 13) in base 2?
1010011010111
324b (base 15) to base 16
2996
Convert -112120212 (base 3) to base 6.
-121122
What is f9b (base 16) in base 11?
3002
What is -201200220 (base 3) in base 10?
-14361
Convert -581 (base 12) to base 14.
-425
Convert -4206 (base 7) to base 11.
-1122
What is 4c63 (base 13) in base 9?
15847
-6110 (base 12) to base 14
-3b9a
What is -1022012110 (base 3) in base 13?
-b8b0
Convert -1144 (base 8) to base 4.
-21210
Convert -fa9 (base 16) to base 13.
-1a95
Convert -114301 (base 5) to base 3.
-12221020
What is 461 (base 13) in base 11?
627
421120 (base 5) to base 16
3656
What is -3386 (base 13) in base 16?
-1c28
What is 34100 (base 8) in base 9?
21670
What is c140 (base 13) in base 14?
998d
Convert -227 (base 8) to base 6.
-411
Convert -546 (base 13) to base 11.
-751
Convert -223544 (base 7) to base 14.
-10694
Convert -2825 (base 9) to base 2.
-100001010001
-645 (base 8) to base 15
-1d1
-24077 (base 9) to base 5
-1003413
What is -124 (base 15) in base 11?
-216
What is d86 (base 15) in base 11?
2324
What is -2115 (base 6) in base 14?
-263
Convert 3010220 (base 5) to base 13.
18856
Convert -629 (base 15) to base 8.
-2555
What is 2120 (base 6) in base 2?
111100000
Convert -2323030 (base 4) to base 16.
-2ecc
Convert 689 (base 16) to base 2.
11010001001
-ca3 (base 13) to base 8
-4161
-3cc9 (base 16) to base 2
-11110011001001
What is 10260 (base 9) in base 13?
3114
23221 (base 4) t | {
"pile_set_name": "DM Mathematics"
} |
-g*m - 10 = 10 for m.
-4
Let b(j) = 36*j - 164. Let y be b(6). Solve -w = 12*w - y for w.
4
Suppose -3*p = -9*p. Let j = -11 - -15. Let c be (j - 4)*(-1 + 2). Solve c = -p*z - z - 2 for z.
-2
Let f = -4 + 9. Suppose -5*b = -2*b - x - 13, 4*b - 2*x - 16 = 0. Suppose b*z = -5*d + 55, 2*d + 0*z - 32 = -4*z. Solve f*r + 14 = -d for r.
-4
Let u be (42/8)/((-30)/(-80)). Solve -5*j = 11 + u for j.
-5
Suppose -7*o = -40 + 12. Solve o*b + 1 = 9 for b.
2
Suppose -82 = -3*m + 5*n - 5, n = -4. Solve 6 + m = 5*v for v.
5
Let i be -9 - (7 + -5 - 13). Solve -4*x - i*x = -x for x.
0
Let m = 9 + -6. Solve -13 = -m*n - 7 for n.
2
Suppose 4*z + 14 = 2*m, -4*m + 0 = -2*z - 4. Let b(s) = -s**3 - 2*s**2 - 3*s - 1. Let q be b(m). Suppose -5*n - 1 = 4*h, -n = 3*n + 4. Solve h + q = o for o.
2
Suppose -3*h - 55 = -6*h - w, 30 = 2*h + 2*w. Suppose -h = -21*q + 16*q. Solve -q*z = -2*z for z.
0
Let g be -1*2/(-1) + 2. Suppose -14 = -g*t + 2. Suppose 24 = -t*i + 8*i. Solve -2*s + i = 2 for s.
2
Let u be 3*3/27*33. Let z(j) = 17 + 6*j + 6*j - u*j. Let p be z(-11). Solve -p*n = -4*n for n.
0
Let o be (-3)/(30/4) + (-17)/(-5). Suppose 2*g + 5 = o*r, -2*g = 2*r - 0*g. Solve 3 + r = -s for s.
-4
Let c(g) be the second derivative of g**5/20 - g**4/2 + 5*g**3/6 + g**2 + 8*g. Let v be c(6). Let m be v/(-24)*(0 + -3). Solve -m*o - 1 = -17 for o.
4
Suppose -12 = -n - 3*x, 0*n + x = -3*n + 20. Suppose 0 = d + 4*d. Suppose 3*s - 4*z = n, 5*z = -3*s - d + 6. Solve 0*w - w - s = 0 for w.
-2
Let a be (-3)/(1 + 0) + (5 - 4). Let o be a*(-3 - 15/(-10)). Solve 3 = o*u - 0 for u.
1
Suppose 6*t = -2*d + 5*t - 4, -3*d - 12 = 3*t. Let q(l) = l**3 + 2*l**2 - 4*l - 1. Let w be q(-3). Suppose 6*j = 5*j + w. Solve j*c + c = d for c.
0
Let a(v) = 2*v**3 - 26*v**2 + 48*v + 20. Let c be a(11). Solve -j - c = -17*j for j.
4
Let s(z) be the first derivative of -z**3/3 + 6*z**2 - 11*z + 2. Let o be s(9). Let x be 0 + 0 + -2 + 6. Solve x*h - o = -0*h for h.
4
Suppose 2*b + 11 + 13 = 0. Suppose -4*u - 2*g + 0*g = 58, 10 = -u - 5*g. Let t = b - u. Solve -t*k - 3 = 6 for k.
-3
Suppose -x + 4*x = 66. Let q = 20 - x. Let u be (-1)/q*-6 - -10. Solve 20 = 2*y - u*y for y.
-4
Let b be (10*(-2)/(-12))/(1/3). Solve -6*d + b = -d for d.
1
Let l(f) = -18*f**2 - 4*f. Let h(r) = 12*r**2 + 3*r. Let n(m) = 7*h(m) + 5*l(m). Let c be n(-1). Let k be (1 + -11)*c/14. Solve 0 = -k*b + 25 - 5 for b.
4
Let u be 10/(-4)*40/(-25). Let a(q) = 2*q - 2. Let h(p) = 3*p - 5. Let o(y) = -5*a(y) + 3*h(y). Let d be o(-5). Solve d = -0*i - u*i + 16 for i.
4
Let k be 1 + 1/1 - -2. Let t(b) = 9*b**2 - 52*b - 68. Let g be t(7). Solve -f - k = -g for f.
5
Let l(g) = 2*g**2 - 151*g + 367. Let b be l(73). Let o = 1 - -2. Let n = 9 - o. Solve -b*t - t = -n for t.
2
Let r be (-2)/(-8)*-1*(7 - 15). Solve r*y = 2 - 4 for y.
-1
Let d(h) = 0*h + 0*h + 3 - 3*h**3 + 2*h**3. Let i be d(0). Let a be ((-60)/20)/(6/(-8)). Solve i*z = a*z for z.
0
Let s = 18 - 16. Suppose -10 = -5*p, -38 = -0*c - s*c - 4*p. Let b = 0 + 2. Solve h + b*h = c for h.
5
Let f be 12/3 - (-8 - -10). Solve 0 = i + f*i for i.
0
Let s be 3/1 + 0/(49/(-7)). Suppose 5*j = 47 + 18. Solve j - s = 5*l for l.
2
Let i = 22 - 17. Let p(t) = -t**3 + 2*t + 1. Let n be p(-1). Suppose -4*c + 5*u = n, 0*c = -2*c + 3*u. Solve c = i*x - 3*x + 6 for x.
-3
Let j be ((-3)/3)/(2/(-10)). Suppose 2*m = 2*t + 7*m + 14, 5*t - 27 = 3*m. Suppose i = -t*i. Solve 0 = -i*r + r - j for r.
5
Let i = 32 + -29. Suppose 5*m - i = -0*w + 3*w, -2*m = -3*w - 3. Let z(s) = s**3 + 5*s**2 + 3*s + 1. Let n be z(-4). Solve n*g = -m*g for g.
0
Let i(m) be the third derivative of -1/120*m**6 + 0*m + 0*m**5 + 6*m**2 + 1/2*m**3 + 0*m**4 + 0. Let p be i(0). Solve p*j = -0*j for j.
0
Suppose 49 = 3*z + 5*s, s + 4 = -0. Solve -3 + z = -4*v for v.
-5
Let t(o) = -o**3 - 8*o**2 - 17*o - 42. Let j be t(-7). Solve j = q + 32 for q.
-4
Let m(l) = -2*l**2 + 3 + 5*l**2 - 4. Let b be m(1). Suppose 12 = 4*x, -32 - b = -5*j - 3*x. Solve j*h - 6 = 14 for h.
4
Let g(k) = k**3 - 9*k**2 + 5. Let d be g(9). Let p(u) = 2*u - 7. Let q be p(d). Let c = 1 - -2. Solve 0 = c*y + q + 6 for y.
-3
Let p be ((-18)/4)/(2/4). Let k be (-2)/p*3*3. Suppose k*z = -z. Solve -u + 4 = -z*u for u.
4
Suppose 4*t - 4*m + 342 = -6*m, -5*m = -t - 58. Let c = t + 87. Solve c*o = 11 + 1 for o.
3
Let l(q) = q**3 - 5*q**2 + 6*q - 4. Let t be l(4). Solve -3*y + 5 = -t*y for y.
-5
Let x(b) = 16*b + 658. Let g be x(-41). Let u = -1 + 2. Solve u = g*z - 7 for z.
4
Let g be (67 - 69)*6/(-1). Solve -1 = -g*k + 59 for k.
5
Let h = -37 + -47. Let b be h/(-7) - 3 - (-1 + 2). Solve -2*j = -0*j + b for j.
-4
Let f be (-6)/(-8) + 45/(-12) + 48. Let i = f - 43. Solve -i*s = -7*s + 10 for s.
2
Suppose 5*a - 3*a = 20. Suppose -26 = -3*h + a. Suppose h = 4*c - z, -3*c + 28 = c + 3*z. Solve 0 = -c*i - 2 - 6 for i.
-2
Let n be (0 - -1) + (-5)/(-5). Let y be (21/2)/(9/12). Suppose -4*g = -y + 6. Solve g = n*c + 12 for c.
-5
Suppose 27*j - 74 = 88. Solve -3 = -t - j for t.
-3
Let s(w) = 3*w - 3*w**2 + 0*w - w**3 + 3 - 1. Let c be s(-3). Let h = c - -11. Solve y + y + h = 0 for y.
-2
Let k = 3 - 2. Let f(o) = 31*o**2 + 495*o - 12. Let q be f(-16). Solve -i - k = q for i.
-5
Let j(p) be the third derivative of p**5/120 - p**4/12 - p**3/3 - 4*p**2. Let o(y) be the first derivative of j(y). Let z be o(5). Solve 16 - 4 = z*h for h.
4
Let w be (1 + 6/(-3))/(4/(-20)). Let j be -15*(-5 + (-3)/(-1))/w. Solve x + x = j for x.
3
Let y(l) = -l**2 + 17*l + 14. Let w be y(0). Solve w*a = 16*a + 2 for a.
-1
Let f(s) = -s**2 - 23*s - 57. Let g be f(-20). Solve -5*q = -g*q + 6 for q.
-3
Let s be (74 - 51)/(1 - 0). Solve 6*r + 5 = s for r.
3
Suppose j + 7 = -3*i, -j + 0*j - 1 = -3*i. Let d be ((1 - -2) + 7)/i. Let p be ((-9)/(-6))/(-3)*d. Solve -23 = -p*u - 3 for u.
4
Let n = -730 - -730. Solve n = 14*i + 10 + 4 for i.
-1
Let c(i) = 11*i**2 + 1. Let y be c(-1). Let s be y/9*(-21)/(-14). Solve -4 = s*v + 2*v for v.
-1
Suppose -15 = -11*n + 6*n, 0 = -5*i - 5*n + 30. Let c be (-25)/(-4) + i/(-12). Solve 3*o = 6 + c for o.
4
Let l = 20 - 20. Suppose 8 = b - k, -2 = -b - l*b - k. Solve 0 = -b*c + 2*c + 6 for c.
2
Let o = 15 - 10. Let g = -2 + o. Suppose g*x = -3*x. Solve n - 2 = -x for n.
2
Let j(f) = f**2 - 7*f + 13. Let g be j(3). Solve -2*d - 3 = -g for d.
-1
Let p(w) = -2*w + 14. Let l(d) = -d - 1. Let v(x) = l(x) - p(x). Let z be v(11). Let s be 42/5 - z/(-10). Solve -s = -4*g + 4 for g.
3
Let o(p) = -p**3 - 3*p**2 + 8*p + 3. Let m be o(-5). Let x(a) = 26 - 4 + 2 - a. Let j be x(17). Solve -j - m = -5*b for b.
4
Suppose -4*p - 2*m - 10 = 0, -2*p + 2*m = 3*p + 8. Let u be 3/(p - (0/4 - 3)). Solve 5*r + u - 18 = 0 for r.
3
Let u = 2 - -5. Let p be 5/20*6*(-8)/(-2). Solve p = 4*t - u*t for t.
-2
Let y(v) be the third derivative of -v**5/60 + 5*v**4/12 + 4*v**3/3 - 12*v**2. Let r be y(10). Suppose -1 = g - r. Solve -g*b + 3*b - 4 = 0 for b.
-1
Suppose -12*l - 49 = -19*l. Solve 0 = l*b - 4 + 18 for b.
-2
Suppose -w + 4*b = -32, -2*w + w = 4*b + 8. Suppose 12 = 8*u - w. Solve u*v - 6*v - 15 = 0 for v.
-5
Let f = -64 - -34. Let o = -53 - -84. Let k = o + f. Solve j - 2 = -k for j.
1
Let b = 58 - 55. Solve -2*p = b*p + 15 for p.
-3
Let d(n) = n + 9. Let p be d(-7). Let b be 3 + -2 + p + (-3 - 0). Solve -4*j - j = b for j.
0
Let t = 436 - 434. Solve -4*s + 6 = t for s.
1
Let b = 63 - 59. Suppose 5*k - b = 16. Solve 25 = -k*y - y for y.
-5
Let b be -1*(48/(-4) + 3). Suppose 0 = 6*o - b + 3. Solve -q + o = -3 for q.
4
Suppose 5*m + 2*m = 217. Let b = -23 + m. Solve -4*j + 0 = b for j.
-2
Suppose -2*f - 3*f + 59 = g, 0 = -f + 3*g + 15. Let r be 1*f*(-1)/(-2). Suppose -l + 3*l - r = 0. Solve 0 = -u + l*u - 8 for u.
4
Let d = -151 + 244. Let f = d + -90. Solve 2 = -5*u - f for u.
-1
Let h = -22 - -8. Let b = h + 17. Suppose 4*s = 6*g - 2*g, 3 = 4*s - b*g. Solve -2*r = s - 1 for r.
-1
Let l(q) = -q**3 - q**2 + q + 1. Let b(f) = -4*f**3 - 10*f**2 + 5*f + 11. Let m(t) = b(t) - 5*l(t). Let v be m(5). Solve -c + v = -3*c for c.
-3
Let v = 1 - -4. Suppose -13*w + 17*w + 12 = 2*t, 5*t + 3 = -w. Solve -v + t = f for f.
-5
Let o be (-5)/2*(-4)/5. Suppose 2*v + 117*b - 10 = 112*b, 2*v - 10 = 5*b. Solve -7*l = -o*l + v for l.
-1
Let l(p) = p**2 + 10*p. Let f be l(6). Suppose -f = 5*m - m. Let d = m - -30. Solve -n = n + d for n. | {
"pile_set_name": "DM Mathematics"
} |
+ 9*w = -3*x, -l = 5*x - 3*w for x.
-2
Let y be 8/10 - 3638*6/(-15). Let w be y/98 + (-2)/(-14). Solve -5*j - 13 = -2*v, 4*v + w = v - 4*j for v.
-1
Let l = -58 + 46. Let k = l + 21. Suppose -11 = -5*n + k. Solve -n*y + 5*y + 2*i = 3, 37 = -5*y + 3*i for y.
-5
Suppose 48*p + 4 = 49*p. Suppose p*c = 34 + 22. Let j be 2*(-3)/((-12)/c). Solve -3*z = -2*l - 15 - 6, j = l + 2*z for l.
-3
Let u = 249 + -243. Suppose u*v + 1563 - 1587 = 0. Solve 0 = 4*b + 2*d + 16, -v*b - b - 29 = -2*d for b.
-5
Suppose j = 2*i - 18, -5*i + 68 = j + 16. Let p(w) = -w**3 - 2*w**2 + w - 3. Let x be p(-3). Solve 0*d = -d - x*l + i, 0 = -5*d + 2*l + 16 for d.
4
Let z(a) = a**2 - 9*a + 8. Let k be z(8). Let p(j) = 34*j**2 + 9*j - 8. Let x be p(1). Solve x = 5*q + 5*n, -q + k*q - 5*n + 23 = 0 for q.
3
Suppose -5*f + 11 + 11 = 2*p, 3*f = -4*p + 58. Let x(y) = 2*y + 39. Let h be x(p). Let u = h - 41. Solve -r - u = -0*t - 5*t, 5*t = 4*r + 45 for t.
5
Let p(l) = l**2 + 4*l - 120. Let v be p(-13). Let o(u) = u**3 + 4*u**2 + 5*u + 10. Let y be o(v). Solve h + 3*g = -10, 0*h - h = -y*g - 11 for h.
-1
Let u = 187 - 186. Suppose 4*l - 13 = -5*o + 4, l - 2*o - u = 0. Solve 2*h + 4 = a - l, h = -4 for a.
-1
Suppose -155*m = -10*m - 109 - 616. Solve -4*i = -4*l - 16, -4*l + 0*i = -m*i + 21 for l.
1
Suppose -5*u + 2*g = -32, -18*u + 5*g = -15*u - 23. Solve -3*b - w = -u - 7, 22 = 4*b - w for b.
5
Suppose 2*r = -0*r + 2. Suppose -519 = -90*h - 69. Solve -15 = 2*b + 3*b + h*q, -b - 3*q - r = 0 for b.
-4
Let j = 138 - 287. Let t = -149 - j. Solve u = 4*m - t + 3, 2*m = 5*u - 15 for u.
3
Let v = -2325 + 2328. Solve -4*l + l - 4*h + 32 = 0, -4*l = v*h - 31 for l.
4
Let f(u) = 10*u + 13*u - 5*u + 5 - 3*u**2 + 4. Let h be f(6). Solve 14 = -5*w - 4*c, -c - h = -2*w + 6*w for w.
-2
Let x(k) be the third derivative of k**5/60 + 7*k**4/24 + 14*k**3/3 + 133*k**2. Let q be x(-4). Solve -4*g - q = 2*a, 0 = 2*a + 3*a - g + 7 for a.
-2
Suppose 5 = 3*b - 1. Let l = 22 - 19. Suppose 0 = 8*c - l*c - 25. Solve 0 = 2*j - c*k - 0 - 4, -b*j + 4 = -k for j.
2
Let n = -31 + 37. Suppose 0 = -n*o - 2*o - 64. Let l be (12/24)/((-2)/o). Solve b = -v - v - 6, -6 = l*v - 3*b for v.
-3
Let l(x) = 97*x - 2615. Let b be l(27). Solve 3*q - 6 = -r, b*q - 10 - 5 = r for r.
-3
Suppose -44 = -6*b - 14. Suppose -b*s + 9*s - 4 = 0. Solve u = r + r + s, u + 5*r - 8 = 0 for u.
3
Let r be 165/55 - -6*3. Suppose 19 = 2*y + 5*k, -k + 11 = -17*y + r*y. Solve u + 2*u + 2 = -y*p, 0 = -5*u + 3*p + 3 for u.
0
Suppose -72 = -23*l - l. Let m be (l/(6/2))/((-6)/(-12)). Solve 0 = -4*g + m*z - 12, 6*g + z + 14 = 4*g for g.
-5
Let j be -72*((-40)/12 - 1). Suppose 139*q = 133*q + j. Suppose -4*k + q = 5*w, -w + 0 - 1 = -3*k. Solve 4*g + 3*v = -1 - 13, w = g - 5*v for g.
-2
Suppose -619*w - 168 = -626*w. Solve 3*o + 33 = -3*s + w, -s + o = -7 for s.
2
Suppose 129 = 22*j - 245. Let o(d) = 2*d**3 - 34*d**2 - d + 24. Let t be o(j). Solve a + 5*c - t = 0, a - 12 = -3*a - 4*c for a.
2
Let s be (2 - 1)/(-1) + 5 + -1. Suppose s*c - 15 = 0, 0 = 3*y - c - 1 - 0. Suppose -5*d + 26 = -54. Solve d = -5*a + 2*n, -3*a = -n + 8 + y for a.
-4
Suppose -16*l = 31*l + 15463. Let s = 352 + l. Solve -3*x + n = 15, -5*x + 0*n + n - s = 0 for x.
-4
Let v = -3101 + 3105. Solve 4 = -v*s, s + 14 = 4*u - s for u.
3
Let d = 2734 - 2722. Solve -24 = -n + 5*s, 14*s - 12*s + d = n for n.
4
Suppose 3*c = -2*c + 25. Let o(x) = -2*x**2 - 23*x - 29. Let y be o(-17). Let m = 216 + y. Solve m*h - h - c*j = -7, 8 = 3*h + 2*j for h.
2
Let t(g) = 3*g - 1. Let h be t(2). Let r = 2307 + -2304. Solve c + h*b = 4*c - 22, -r*b - 19 = 4*c for c.
-1
Let v(m) = 2*m**2 + 2. Let z(f) = 5*f**2 - 24*f - 33. Let b(l) = -3*v(l) + z(l). Let c be b(-22). Solve 0 = -c*o + 5*h - 15 - 5, -o = h - 4 for o.
0
Let r(p) = 242*p + 10407. Let q be r(-43). Let d be 3/6 + (-25)/(-2). Solve 3*a - c = q - d, 0 = 2*a - 4*c - 2 for a.
-5
Suppose 3*x + 18 + 0 = 0. Let p be (-4)/x*(-1 - -4). Suppose -105 = 108*z - 129*z. Solve 5*y + p*f - 21 = 0, 9 - 39 = -5*y - z*f for y.
3
Let d(q) = 4*q - 127. Suppose 2*w - 72 = -2*x + 5*w, 0 = -4*x - 2*w + 128. Let a be d(x). Solve -p - 3*z + 1 = -a*z, 0 = -p + z + 3 for p.
5
Let m = -2341 - -2344. Solve 0 = -4*z + 3*s - 15, 14 = -5*z + 2*s - m*s for z.
-3
Let b(o) = -o**3 + 7*o**2 + 11*o - 9. Let h be b(8). Suppose -4*x = t - 3, -t + 4*x + h = 4*t. Solve -t*r - 4*i = 1, -2*r = 3*r + 4*i - 9 for r.
5
Suppose d - 2*n - 3*n = -1, 5*d - 25 = -5*n. Let r be ((-16)/(-6) - 2)*(-10 - -16). Suppose d = r*j - 4. Solve 0 = -5*t - 20, -j*t = 5*l + t + 22 for l.
-2
Suppose 5*m - 2 = 4*m, 2*m = -w + 18. Let s be (21/w - 2)*0. Solve s = -i + 1 - 4, -l + 5*i + 10 = 0 for l.
-5
Let f be 3*(-7)/(-6*2/4). Suppose f*u - 40 = -u. Solve -4 + 1 = b - 2*g, 3*b - u*g = -10 for b.
-5
Let j(q) = q**3 - 8*q**2 - 15*q - 29. Let c be j(10). Let g be (-2 + -1)*(c - 22). Solve -5*x - n + 28 = 0, -3*x + g = -n - 3*n for x.
5
Let q be ((-4)/(-5))/((-16)/(-40)). Suppose r - 7 = -q*t + 3, -4 = 2*r - 4*t. Solve -5*j = -r*m - j - 24, -3*m = -j + 16 for m.
-5
Let t(m) = m**2 - m - 6. Let h be t(4). Let l be (h - 1)/(18/(-6) + 4). Solve -3*z - 2 = g, -2*z + 20 = -7*z - l*g for z.
1
Let l(d) be the second derivative of d**4/2 + 5*d**3/6 - 4*d**2 - 2*d - 33. Let b be l(1). Solve -2*q + x = -4, q + 4*x = -4 - b for q.
1
Let b = -22443 - -22659. Solve r = -3*p - 1, -r + b - 218 = 2*p for r.
-4
Suppose 35*d = 28*d - 98. Let x = -75 - d. Let g = -58 - x. Solve b = 0, 5*p - g*b - 2*b = 20 for p.
4
Suppose 7*q - 33 = -4*q. Let m(v) = -v**2 + 14*v. Let g be m(14). Suppose 13 = k - 3*j, k + q*j + j + 8 = g. Solve 0 = -k*a - o + 4, o - 4 + 12 = 2*a for a.
2
Let p(b) = 4*b - 47. Let h be p(10). Let y be (-119)/h*(0 + 1). Solve -g - 14 = 5*q, -2*g - 3*g + y = -4*q for g.
1
Suppose -2*j - 32 + 17 = -3*v, -20 = -5*j - 4*v. Solve -o + 31 = -10*f - 0*o, 2*f + 2*o + 4 = j for f.
-3
Let h = 154 + -146. Suppose -2*j = -h + 2. Solve 3*y + 3*u + 3 = -6, 0 = -5*y - 2*u - j for y.
1
Suppose 0 = -d - 8 + 9. Let y be (10 - 4/d)/(-2) + 7. Solve 5*f = -5*s + f + 28, 0 = -2*s - y*f + 16 for s.
4
Let j = -38 - -62. Let h be ((-7)/(-21))/(2/j). Suppose -2*o - 3*v = -5*o + 21, 4*o - v = 19. Solve 2*q - o*l - 5 = q, -h*q + 3 = l for q.
1
Let p(b) = -8*b**3 + 35*b**2 + 9*b - 49. Let v be p(4). Solve 38*g + 5 = v*g - 5*w, 0 = -3*g - w - 13 for g.
-5
Let c(x) = x**3 - 2*x**2 - 4*x + 6. Let b be c(3). Suppose -2*w + b*j = -3, -5*j + 1 - 2 = -2*w. Solve 0 = -4*i - 4*l - 8, -11 = 2*i - w*l - 2*l for i.
-3
Suppose 0 = 4052*c - 4043*c. Solve -2*u + 3 = -d - 0*u, -5*d - 2*u + 9 = c for d.
1
Let a be (-2323)/15 + 10/(-75). Let o = a + 165. Solve 3*b = -m + b + 6, 2*m = -2*b + o for m.
4
Let t be (2 + -1)*2*21/14. Suppose -7 = -2*g - t. Suppose -3*z - g = -14. Solve 5*r + 29 = z*f, -4*r - 28 = r - 3*f for r.
-5
Suppose -8*o = -37*o - 24*o. Solve -2*i = 4*f + 20, 2*i - 4*i - 2*f - 10 = o for i.
0
Suppose -3*d - 80 = 17*d. Let j be 2/3*(23 + 1) - d. Suppose 0 = -0*g + 2*g - 6. Solve -j = 4*n + 4*y, 2*n + 5 = n - g*y for n.
-5
Let m be -17 - 3/((-12)/8). Let l = m - -17. Let c(y) = 14*y + 117. Let b be c(-8). Solve 0*f = l*f + 4*g - 10, -4*g + b = -3*f for f.
1
Suppose -5*c = -4*t + 66, -2237*c = -4*t - 2239*c + 80. Solve 0*q = -2*q + 5*p + t, -q + 4*p + 14 = 0 for q.
2
Suppose g + 110 = 5*c, -5*g + c - 610 = 6*c. Let w be (g/36)/(30/(-36)). Solve -9 = -2*o - 3*d, -2*o - w*d = -12 - 2 for o.
-3
Let d(r) = -r**2 + 10*r - 7. Let l be d(9). Let z be (-2 - 72/(-33)) + (-3784)/(-484). Solve 4*s + z = f - 5*f, 4*f - 2 = -l*s for s.
-5
Let p(s) = 2*s. Let m be p(6). Suppose g + 10 = m. Let n = 157 - 157. Solve g*t + 3 = 3*f, 5*t - 12 = -n*f + f for t.
3
Let x be (-1 + -1)*(-56)/(-21)*-3. Let o = x - 8. Let j be 8/(-4) + o + -1. Solve 0*r = r + j*g - 10, -4*r + g = 23 for r.
-5
Let c(w) = -52*w + 101. Let q be c(-5). Let a = -359 + q. Solve -5*t + 7 = d + 1, 3*d - 1 = a*t for t.
1
Let z(v) = -57*v + 5761. Let l be z(101). Solve 36*h - i + 8 = 39*h, -h - i = -l for h.
2
Suppose 170*f = 109*f + 305. Let q be (-1)/4 - (-78)/(-8). Let l be 8/5*(-25)/q. Solve -5*a - f*n = 5, 0 = -l*a + n - 9 for a.
-2
Suppose -16 = -4*r + 4. Suppose -13*n + 554 = -44. Let w = -34 + n. Solve p + p - 12 = 2*c, w = -r*c - 4*p for c.
-4
Let k(m) = 2*m**2 - 6*m - 1. Let u be k(5). Let l be | {
"pile_set_name": "DM Mathematics"
} |
21*g**2 + 54*g wrt g.
4080*g + 6
What is the third derivative of -215*v**3 + 21*v**2 + 1 wrt v?
-1290
What is the second derivative of 57*i**3*s**2 + 2*i**3 - 60*i*s**2 - 2*i + 2*s**2 wrt i?
342*i*s**2 + 12*i
What is the second derivative of -171*n*z**2 + 104*n*z wrt z?
-342*n
What is the second derivative of -q*y**5 - 5734*q*y**2 - 13001*q*y wrt y?
-20*q*y**3 - 11468*q
Find the second derivative of 105*u**5 + 9*u + 7.
2100*u**3
Find the first derivative of 49*a*f*h*j + 54*a*f*j + 29*a*h*j - a*j - 56*a - f*h*j wrt f.
49*a*h*j + 54*a*j - h*j
Differentiate 26*f*i**3 - 309*f + 2*i**3 + 2*i with respect to i.
78*f*i**2 + 6*i**2 + 2
What is the second derivative of 47*i**4 - 3*i**2*l**2 + i*l + 140*l**2 wrt i?
564*i**2 - 6*l**2
Find the third derivative of -2*l**6*w + 118*l**5*w**2 + 113*l**2*w + 6*w**2 wrt l.
-240*l**3*w + 7080*l**2*w**2
What is the third derivative of -1622*g**3 + 1592*g**2 wrt g?
-9732
What is the second derivative of -171*l**4 + 43*l - 2?
-2052*l**2
What is the third derivative of 8*v**2*z**4 + 5*v**2*z**2 - 9*v**2 + 4*v - 101*z**4 + 2*z**2 wrt z?
192*v**2*z - 2424*z
Find the first derivative of -5385*d**2*x**2 + x**2 + 348*x wrt d.
-10770*d*x**2
Find the third derivative of -1901*x**6 + 331*x**2.
-228120*x**3
What is the third derivative of 817*i**3*u**2 + 410*i**2*u**2 + 2*i*u - 2*u**2 wrt i?
4902*u**2
What is the third derivative of 12486*n**6 + n**2 - 19019 wrt n?
1498320*n**3
Find the third derivative of -478*j*r**3 + j - 3*r**2 wrt r.
-2868*j
Find the second derivative of 36*u**3 + 2*u - 185.
216*u
Differentiate 5*f**3 - 5*f**2 - 10*f - 2272 with respect to f.
15*f**2 - 10*f - 10
Find the first derivative of -38*o**3 + 13*o**2 - 5997 wrt o.
-114*o**2 + 26*o
What is the third derivative of -65*f**3*x**4 + f**3*x - 9*f**2*x**2 - 36*f*x**5 + f*x**2 + 10*f*x wrt x?
-1560*f**3*x - 2160*f*x**2
Find the third derivative of 71*t**4 + 8*t**2 + 16*t.
1704*t
Differentiate -6*r**3*v**3 - 161*r**3 - 15*r**2*v**3 wrt v.
-18*r**3*v**2 - 45*r**2*v**2
Find the first derivative of 27*t**4 - 20*t**2 - 27943 wrt t.
108*t**3 - 40*t
Find the first derivative of 308*c + 803 wrt c.
308
What is the derivative of -f**4 + 17*f**2 - 121*f*y - 961*y + 3 wrt f?
-4*f**3 + 34*f - 121*y
What is the derivative of -598*f**3 - 10262 wrt f?
-1794*f**2
Find the second derivative of -14*g**2*x**2 - 2464*g**2*x + g*x + 18*x**5 wrt x.
-28*g**2 + 360*x**3
Differentiate 145*d**3*s**2 - d**3*s - 618*s**2 wrt d.
435*d**2*s**2 - 3*d**2*s
Find the third derivative of -11412*t**4 - 218*t**2 - 4*t - 5.
-273888*t
What is the second derivative of 25*k**2*u*v**2 + 3*k**2*u*v + 2*k**2*v + 56*k**2 - 12*k*u*v**2 - 1 wrt v?
50*k**2*u - 24*k*u
Find the second derivative of 413*l**2 + 53*l.
826
What is the third derivative of 13*p*z**6 + 4*p*z**4 - p*z**2 - 975*p*z wrt z?
1560*p*z**3 + 96*p*z
What is the second derivative of -510*d**4 + d**3 - 15*d + 15 wrt d?
-6120*d**2 + 6*d
Find the second derivative of -325*n**3 - 4*n - 42.
-1950*n
What is the third derivative of 56*f**3*r**3 + 2*f**3*r - 3*f**2*r**5 - 5*f*r**2 - 2*r**2 wrt r?
336*f**3 - 180*f**2*r**2
Find the first derivative of -24*h*l**2 + h*l - 1060*h - l wrt l.
-48*h*l + h - 1
What is the first derivative of -355*n**2 - 6777 wrt n?
-710*n
Differentiate 202*c*m**2 + 5*m**2 - 5 wrt c.
202*m**2
What is the derivative of 474*m + 6100?
474
Find the third derivative of -3*h*r**2*v**3 - h*r**2*v**2 + 2*h*r*v**3 - 3*h*r*v - 58*h*v**3 - 4*h*v**2 + r**2*v wrt v.
-18*h*r**2 + 12*h*r - 348*h
Find the first derivative of -9*o**2 - 222.
-18*o
What is the third derivative of -176*b**3*p**2 - 3*b**3*w**3 - b**3*w**2 + 2*b**2*p**2 - 10*b**2*p*w**3 + 2*b*p**2*w**3 + b*w**3 wrt b?
-1056*p**2 - 18*w**3 - 6*w**2
What is the second derivative of s**3*v**2 + 56*s**3*v + s*v**2 + 66*v**2 wrt s?
6*s*v**2 + 336*s*v
What is the derivative of 1850*i**3 - i**2 + 2337?
5550*i**2 - 2*i
Find the third derivative of -4*n**3 + 445*n**2 wrt n.
-24
What is the third derivative of s**4*y**2 + 5*s**4*y - 12*s**3*y**2 - 4*s**2 + 9*s*y**2 wrt s?
24*s*y**2 + 120*s*y - 72*y**2
What is the second derivative of -17778*n**2 - n - 21811?
-35556
What is the derivative of -n**3 + 4285*n**2 - 607?
-3*n**2 + 8570*n
Find the first derivative of u**2 - 33*u + 35 wrt u.
2*u - 33
What is the first derivative of -k**2*p*u**3*v + 2*k**2*p*u**3 + 15*k**2*u**3 - k*p*u**3 - 18*k*p*v wrt v?
-k**2*p*u**3 - 18*k*p
Find the third derivative of 20*x**4 + 4*x**3 + 426*x**2 + 7*x wrt x.
480*x + 24
Differentiate -16*n*s**2 - 43*n*s - 87*n - s**2 - 2 wrt s.
-32*n*s - 43*n - 2*s
What is the third derivative of -y**3 + 188*y**2?
-6
Find the second derivative of -682*q**4*s - 2*q**2 - q*s + 140*s + 2 wrt q.
-8184*q**2*s - 4
Differentiate 397*i**3*z + 186*i**3 wrt z.
397*i**3
Differentiate -3*h*k - 19*h + 134*k wrt h.
-3*k - 19
What is the second derivative of -z**4 + 964*z**3 - 3*z**2 + 107*z - 4?
-12*z**2 + 5784*z - 6
Find the second derivative of -469*j**5 + 374*j wrt j.
-9380*j**3
What is the third derivative of -6*t**4 + 13*t**3*u + 213*t**2*u wrt t?
-144*t + 78*u
What is the second derivative of -35*o**5 - o**3 + 64*o + 3?
-700*o**3 - 6*o
Find the third derivative of -6*m**2*u**3 - 2*m**2*u**2 - 60*m**2*u + 47*m*u**4 wrt u.
-36*m**2 + 1128*m*u
What is the third derivative of -u**5 - 8*u**4 - 694*u**3 + 6*u**2 + u + 387 wrt u?
-60*u**2 - 192*u - 4164
Find the second derivative of 77*i**2 + 179*i.
154
Find the third derivative of 79*m**3*w + 6*m**3 + 10*m**2*w - 62*w wrt m.
474*w + 36
Find the second derivative of -s**4*u + 39*s**4 + 38*s**2*u + s*u + 60*s - 27 wrt s.
-12*s**2*u + 468*s**2 + 76*u
Find the third derivative of -450*v**5 - 400*v**2 wrt v.
-27000*v**2
What is the third derivative of -4*v**6 - 537*v**5 - 305*v**2 wrt v?
-480*v**3 - 32220*v**2
Find the second derivative of 48*g**2*i**2*j - 2*g**2*i**2 + 4*g**2*i + 14*g**2*j + 6*g*i**2 + 3*g*j wrt i.
96*g**2*j - 4*g**2 + 12*g
Find the second derivative of -819*p**2 - 1212*p.
-1638
What is the third derivative of 221*s**5 + 147*s**2?
13260*s**2
What is the third derivative of -2*y**6 - 2*y**5 + 72*y**4 + y**2 + 125*y?
-240*y**3 - 120*y**2 + 1728*y
Find the third derivative of z**6 + 14*z**4 - 14*z**2 + 3.
120*z**3 + 336*z
Differentiate -6*c*f**2 + 2*f**2 - 112 with respect to c.
-6*f**2
Find the third derivative of -1857*u**3*w + 2*u**2*w + 4*u**2 + 5*u*w + 32*u wrt u.
-11142*w
Differentiate 18455*k**2*w + 24369*k**2 with respect to w.
18455*k**2
Find the second derivative of 9*s**3*z**2 - 3*s**2*z**3 + s**2*z + 2*s - 256*z**3 wrt s.
54*s*z**2 - 6*z**3 + 2*z
Find the first derivative of 841*q**2 - 3562.
1682*q
What is the second derivative of -846*i**3 - 2*i**2 + 1388*i - 3?
-5076*i - 4
What is the third derivative of -13291*c**6*s - 2*c**2*s + 8*c*s + 56 wrt c?
-1594920*c**3*s
What is the second derivative of 99*l**3 - 2*l + 27?
594*l
Find the first derivative of -2177*y**3 - 4016 wrt y.
-6531*y**2
Differentiate -999*a**2 - 1657.
-1998*a
Differentiate 7825*x + 861 with respect to x.
7825
What is the second derivative of 64*i**2*o**3*y**3 - 2*i**2*y**3 + 51*i*o**3 - 2*i*o**2*y**3 wrt i?
128*o**3*y**3 - 4*y**3
Find the third derivative of -52*v**6 + 30*v**5 - 13*v**2 + 41 wrt v.
-6240*v**3 + 1800*v**2
What is the third derivative of -j*o**3*y**5 - 15*j*o**3*y**4 + j*o**3*y - 13*j*o**2*y**2 + 2*j*o**2*y - o**3*y wrt y?
-60*j*o**3*y**2 - 360*j*o**3*y
Differentiate -141*l**3*y + 13*l**3 + 2*l*y**4 + 11*l with respect to y.
-141*l**3 + 8*l*y**3
Differentiate 9766*q**2 - 1880 wrt q.
19532*q
What is the third derivative of 2*j**4 + 297*j**3*s + 5*j**2*s + 26*j**2 + 5*s wrt j?
48*j + 1782*s
Differentiate 63*h*w**2 + 17*h*w + 4*h + 7872*w**2 with respect to h.
63*w**2 + 17*w + 4
Find the third derivative of 139*x**5 + 2*x**3 + 3*x**2 - 69 wrt x.
8340*x**2 + 12
Find the second derivative of -2*b**4*m**3 + 60*b**4 + 7*b + m**3 wrt b.
-24*b**2*m**3 + 720*b**2
Differentiate 682*l - 855 wrt l.
682
What is the third derivative of -399*h**4*j**2 + 8*h**3*j**3 - h**2*j**3 - 84*h*j**3 + 4*j**3 wrt h?
-9576*h*j**2 + 48*j**3
Find the first derivative of 3900*d + 4156 wrt d.
3900
What is the second derivative of 26*d**4 + 4*d**3*x + 4*d**2*x - 3*d + 155*x wrt d?
312*d**2 + 24*d*x + 8*x
What is the derivative of -31*b**4*u**2 + 7*b*u**2 + 2*u** | {
"pile_set_name": "DM Mathematics"
} |
-2)**2.
16*sqrt(13) + 833
Simplify sqrt(500) - (sqrt(500) + -3) - (sqrt(5) - (-2*sqrt(50))/sqrt(10)).
-3*sqrt(5) + 3
Simplify ((sqrt(153)*-2 - sqrt(153))*5)/sqrt(9).
-15*sqrt(17)
Simplify (-3*sqrt(75)/sqrt(3))/(2*sqrt(500)).
-3*sqrt(5)/20
Simplify (1 + sqrt(1872) + 3)**2.
96*sqrt(13) + 1888
Simplify 3*((sqrt(3) + sqrt(3) + (sqrt(75) + sqrt(3))*3 - sqrt(3)) + 3)**2.
342*sqrt(3) + 3276
Simplify (sqrt(77)/((sqrt(121) + 1*sqrt(121))/sqrt(11)))**2 - sqrt(49)/(sqrt(252) - (1*sqrt(252) - sqrt(252))).
-sqrt(7)/6 + 7/4
Simplify ((sqrt(42) - -1*sqrt(42)) + sqrt(42) + sqrt(42))/sqrt(6) - (sqrt(7) + -2)**2*4.
-44 + 20*sqrt(7)
Simplify 1*(-4 + sqrt(153) + 1).
-3 + 3*sqrt(17)
Simplify (1*sqrt(8)*-5 + sqrt(8))/(sqrt(100)*-1 - sqrt(4)).
2*sqrt(2)/3
Simplify 3*(1 + -4 + sqrt(833)).
-9 + 21*sqrt(17)
Simplify (sqrt(162) + 1 - sqrt(2))*4*2.
8 + 64*sqrt(2)
Simplify (sqrt(13) + sqrt(13) + sqrt(13) + sqrt(39)/sqrt(3)*-6 + sqrt(13) - (0 + sqrt(1300))**2)*-6*3.
36*sqrt(13) + 23400
Simplify ((sqrt(209) + (sqrt(209)*1 + sqrt(209))*4)/(sqrt(66)/sqrt(96)))**2.
24624
Simplify (sqrt(539) + sqrt(539) + 2)**2*1 - sqrt(539)*-3*2.
98*sqrt(11) + 2160
Simplify sqrt(121)/(sqrt(539)*-1 - sqrt(11)).
-sqrt(11)/8
Simplify (sqrt(15) + (sqrt(15) + -2*1*sqrt(15) - sqrt(15)))/((-1*sqrt(55))/sqrt(11)).
sqrt(3)
Simplify -2 + (1 + sqrt(1088) - (sqrt(17) - (sqrt(68) + sqrt(68)*2 - sqrt(68))**2)).
7*sqrt(17) + 271
Simplify (-2*sqrt(14)*-5)/((sqrt(2) + 2*sqrt(2))*-6).
-5*sqrt(7)/9
Simplify 2 + 3*sqrt(91)/sqrt(7).
2 + 3*sqrt(13)
Simplify (sqrt(567)*1*-4)**2 + 2.
9074
Simplify 4 + (sqrt(17) + sqrt(204)/sqrt(12))*1.
4 + 2*sqrt(17)
Simplify (-2*sqrt(272) + -5)**2 + 3.
80*sqrt(17) + 1116
Simplify -3 + 0 + (sqrt(171)*-2)**2 + sqrt(171) + -5 + (sqrt(171) + -1)**2.
-3*sqrt(19) + 848
Simplify -5 + (-2*sqrt(1300) - sqrt(1300)) + 1.
-30*sqrt(13) - 4
Simplify (2*(sqrt(19) + sqrt(228)/(-2*sqrt(12))))**2.
19
Simplify (sqrt(75)*-1)**2 + -1*sqrt(12).
-2*sqrt(3) + 75
Simplify -2*(sqrt(49)/sqrt(63) - sqrt(7) - sqrt(7)).
10*sqrt(7)/3
Simplify sqrt(28)/sqrt(4)*5 + (sqrt(252)*-2)**2.
5*sqrt(7) + 1008
Simplify (-6*(sqrt(675) + -1))**2.
-1080*sqrt(3) + 24336
Simplify (sqrt(33) + sqrt(165)/sqrt(5))/sqrt(3) - (-3*sqrt(539))**2.
-4851 + 2*sqrt(11)
Simplify (sqrt(104)/sqrt(392)*3)**2 + 0.
117/49
Simplify (sqrt(240)/(2*sqrt(4)))/(sqrt(84)/(sqrt(28)/sqrt(4))).
sqrt(5)/2
Simplify -5*((sqrt(12) - sqrt(108)) + (sqrt(3) - ((sqrt(12)/sqrt(4))**2 + 1) - sqrt(3))).
20 + 20*sqrt(3)
Simplify -3*(sqrt(7) - (sqrt(7) + sqrt(70)/(sqrt(20)/sqrt(2))) - sqrt(7)).
6*sqrt(7)
Simplify ((3*sqrt(4455))/(1*sqrt(180)))**2.
891/4
Simplify (3 + 3*(1 + sqrt(17))*-1)**2.
153
Simplify 4*(sqrt(44)/sqrt(4))**2*3.
132
Simplify (2*(sqrt(18) + sqrt(162)))/sqrt(9)*-4.
-32*sqrt(2)
Simplify -5 + ((sqrt(35) + 1*sqrt(35))*1)/(-4*sqrt(21)/sqrt(3)).
-5 - sqrt(5)/2
Simplify (5*(sqrt(117)*2 + sqrt(117)))/sqrt(9) + 2.
2 + 15*sqrt(13)
Simplify (sqrt(539) + 0 + sqrt(11))**2 - ((sqrt(11) + 2 - sqrt(11)) + 0 - sqrt(11)).
sqrt(11) + 702
Simplify (sqrt(243) + -2*sqrt(243))/sqrt(9).
-3*sqrt(3)
Simplify -1*6*-4*(-2 + sqrt(19)).
-48 + 24*sqrt(19)
Simplify (-2*sqrt(448) + sqrt(448) + -5 - (sqrt(448) - (sqrt(448) + 0 + sqrt(448) + 0)))**2.
25
Simplify sqrt(500) - (1 + sqrt(500) + sqrt(500))**2*-3.
130*sqrt(5) + 6003
Simplify (-2*(sqrt(5) + 0))**2 + 5.
25
Simplify -4*(-2*sqrt(1053))**2.
-16848
Simplify ((sqrt(3) - (sqrt(12) + 4 + sqrt(3))) + (sqrt(3) + 0)*-1)**2.
24*sqrt(3) + 43
Simplify (sqrt(88)*2*3)/(-4*sqrt(48)/sqrt(6)).
-3*sqrt(11)/2
Simplify (sqrt(110)/(2*sqrt(2)))/(sqrt(11) + sqrt(99)/(2*sqrt(9))).
sqrt(5)/3
Simplify (6*sqrt(110)*1)/(sqrt(810)*1).
2*sqrt(11)/3
Simplify ((-3 + 5*sqrt(108)*1)*5)**2.
-4500*sqrt(3) + 67725
Simplify (sqrt(162) - 3*sqrt(162)) + 5 - (2 + (sqrt(162) + 2)**2 - sqrt(162)).
-163 - 45*sqrt(2)
Simplify sqrt(55)/sqrt(5)*1 + (sqrt(11) - sqrt(1584)/sqrt(4)).
-4*sqrt(11)
Simplify ((sqrt(68) - (sqrt(68) + sqrt(68)*2 + sqrt(68) + sqrt(68))) + sqrt(68))/sqrt(4) + 2*(0 + sqrt(17)).
-sqrt(17)
Simplify (sqrt(20)*-4 + 4 + -2)**2.
-32*sqrt(5) + 324
Simplify (-1 + 2 + (1 + sqrt(7) + 3 + sqrt(7) - sqrt(7) - sqrt(7)))**2.
25
Simplify ((-1*sqrt(85) - sqrt(85))*1 - sqrt(85))/sqrt(5).
-3*sqrt(17)
Simplify 3*(0 + (sqrt(17) + sqrt(34)/sqrt(2))**2)*-1.
-204
Simplify -2*sqrt(99)*2.
-12*sqrt(11)
Simplify 2*(2 + (sqrt(396) + 1 - sqrt(396))).
6
Simplify sqrt(78)/(sqrt(18)/sqrt(3)) - (sqrt(832) - (sqrt(832) + 0)).
sqrt(13)
Simplify ((sqrt(90)/sqrt(3) + sqrt(30))*4)/(1*sqrt(1210)).
8*sqrt(3)/11
Simplify (-1*(sqrt(55) + ((1*sqrt(385))/sqrt(7) - sqrt(55)) - sqrt(55))/(sqrt(40)/(-1*sqrt(8))))**2.
0
Simplify (sqrt(320) + -1*sqrt(320))/(sqrt(40)/(sqrt(10)*2)).
0
Simplify (1*sqrt(7) + 3)**2 + sqrt(700)*-4.
-34*sqrt(7) + 16
Simplify sqrt(76)*-3*-3 + 1*sqrt(2299)*3.
51*sqrt(19)
Simplify (-2*sqrt(200) + sqrt(200))**2 + sqrt(32)*5.
20*sqrt(2) + 200
Simplify (sqrt(6)/sqrt(3) + sqrt(2) + -4 - (sqrt(2)*-1*6 + sqrt(2)))**2.
-56*sqrt(2) + 114
Simplify (sqrt(17) + 1)**2*4 + 0.
8*sqrt(17) + 72
Simplify -2*2*4*sqrt(567).
-144*sqrt(7)
Simplify ((sqrt(189)*3 + sqrt(21))/sqrt(7))**2 + 0.
300
Simplify (-5*(sqrt(11) - (sqrt(11) + 1*sqrt(11)*-2)))**2*1.
1100
Simplify (sqrt(5) + 1 + -3)*-6.
-6*sqrt(5) + 12
Simplify 4 + -2*sqrt(8).
-4*sqrt(2) + 4
Simplify (sqrt(133)/sqrt(7) + -2 + (sqrt(209) + sqrt(209)*-1)/sqrt(11))**2.
-4*sqrt(19) + 23
Simplify ((sqrt(15) - (sqrt(120) + sqrt(30))/sqrt(2))/((sqrt(18)*1)/sqrt(6)))**2.
20
Simplify (sqrt(84) - -1*sqrt(84))/sqrt(7).
4*sqrt(3)
Simplify -4 + 1 + sqrt(11) + sqrt(11) + 0 + 0.
-3 + 2*sqrt(11)
Simplify -4 + sqrt(5)*-1 + 1.
-3 - sqrt(5)
Simplify 2 + ((sqrt(432) - (0 + sqrt(432)))*5)**2 + -4.
-2
Simplify (sqrt(76)/sqrt(4)*-4 + 4*sqrt(931) + sqrt(931))**2.
18259
Simplify (((sqrt(121) - (sqrt(121)*-1 + sqrt(121)))*-4)/sqrt(11))**2 + -5.
171
Simplify -1*sqrt(637) + (sqrt(156) - sqrt(39))/sqrt(3) + -3.
-6*sqrt(13) - 3
Simplify -2 + 3*sqrt(7)*2.
-2 + 6*sqrt(7)
Simplify sqrt(637) + 1 + -1*sqrt(117) - (-2 + -2*sqrt(13)*-2).
3
Simplify -4 + sqrt(13) + -1 + sqrt(468)*2.
-5 + 13*sqrt(13)
Simplify (3*(2 + sqrt(3)))**2 + sqrt(24)/(sqrt(40)/sqrt(5)).
63 + 37*sqrt(3)
Simplify (-5 + (sqrt(126)*-1 + sqrt(126) + sqrt(126) + sqrt(126) + sqrt(126))/(sqrt(8)/(2*sqrt(4))))**2.
-180*sqrt(7) + 2293
Simplify sqrt(1300)*3 + -1.
-1 + 30*sqrt(13)
Simplify ((-1*sqrt(126))/(((sqrt(77)*1)/sqrt(11) - sqrt(7)) + sqrt(7)))**2.
18
Simplify ((sqrt(17) + 1 + 3 + sqrt(17) - sqrt(17)) + 4 - (2 + 3 + sqrt(68)))**2.
-6*sqrt(17) + 26
Simplify 5 + sqrt(252) + (sqrt(252) + sqrt(252) + 4 + sqrt(252))**2.
150*sqrt(7) + 2289
Simplify -2*((sqrt(170) + -2*sqrt(170)*-4 + sqrt(170))/(4*sqrt(20)/sqrt(2)))**2.
-425/2
Simplify 1*(sqrt(343) + 1*sqrt(343) + sqrt(343) - sqrt(343)) + (-2*sqrt(343))**2 + -1.
14*sqrt(7) + 1371
Simplify -1 + sqrt(34)/sqrt(2)*2.
-1 + 2*sqrt(17)
Simplify (sqrt(432))**2 + (sqrt(432)*-2)**2.
2160
Simplify 4 + (sqrt(76) + 1*sqrt(76)*1)/((sqrt(4) - ((sqrt(4) - (sqrt(4) - ((sqrt(160)/sqrt(4))/sqrt(10) - sqrt(4)))) + sqrt(4))) + sqrt(4)).
4 + 2*sqrt(19)
Simplify (-4 + sqrt(1008) - (sqrt(700) + 4 - sqrt(7)))**2.
-48*sqrt(7) + 127
Simplify (sqrt(605) + 2 - sqrt(605)) + sqrt(605) + -1.
1 + 11*sqrt(5)
Simplify (4*(0 + sqrt(18)))**2.
288
Simplify 3*(4 + (sqrt(2) + sqrt(2) + 4*sqrt(18)/sqrt(9) + sqrt(2) - sqrt(2))).
12 + 18*sqrt(2)
Simplify 3 + (-2 + 1*sqrt(13) - sqrt(13))**2 + 2.
9
Simplify 4*sqrt(171) + ((sqrt(19)*-5 + sqrt(19))*-1)**2.
12*sqrt(19) + 304
Simplify 6*(sqrt(5) - (2 + sqrt(605))**2).
-3654 - 258*sqrt(5)
Simplify (sqrt(1375) - sqrt(1375)*1 - sqrt(55))/(sqrt(275) + 2*sqrt(275)).
-sqrt(5)/15
Simplify (-5 + (2 + sqrt(19))*4)**2.
24*sqrt(19) + 313
Simplify (sqrt(39) + 2*sqrt(1911) - sqrt(39))/(sqrt(108) - -2*sqrt(108) - sqrt(108)).
7*sqrt(13)/6
Simplify 2 + sqrt(3072).
2 + 32*sqrt(3)
Simplify 4*sqrt(11)*4 + 4.
4 + 16*sqrt(11)
Simplify (-3 + -2*2*sqrt(19) + 1)**2.
16*sqrt(19) + 308
Simplify 4 + sqrt(102)/(sqrt(726) - -2*sqrt(726) - sqrt(6)).
sqrt(17)/32 + 4
Simplify ((-2*sqrt(612) - sqrt(612))**2 + sqrt(612))*-4.
-22032 - 24*sqrt(17)
Simplify sqrt(16)/(sqrt(72)/(3*sqrt(9))).
3*sqrt(2)
Simplify (sqrt(5)*2 + 4 - (sqrt(405) + -2*sqrt(405)))**2 + (-4 + sqrt(45))*-2.
82*sqrt(5) + 629
Simplify -5*-5*sqrt(1900)*-2.
-500*sqrt(19)
Simplify ((sqrt(33) - -1*sqrt(33))*2)/sqrt(3).
4*sqrt(11)
Simplif | {
"pile_set_name": "DM Mathematics"
} |
ounded to three dps?
-47.445
Round 1737276310 to the nearest 1000000.
1737000000
What is -0.00182341582 rounded to four dps?
-0.0018
Round 0.0000069062939 to 6 dps.
0.000007
Round -0.267670643 to two dps.
-0.27
What is -277188887.3 rounded to the nearest ten thousand?
-277190000
What is 0.2397441731 rounded to 3 dps?
0.24
What is -981958.69 rounded to the nearest 1000?
-982000
What is -7.88662618 rounded to two dps?
-7.89
Round 0.0162682847 to 2 dps.
0.02
What is -0.05866539014 rounded to 2 decimal places?
-0.06
What is 0.0200144307 rounded to five decimal places?
0.02001
Round 0.001357032195 to 7 dps.
0.001357
What is 53.860961 rounded to 3 dps?
53.861
What is 0.200981266 rounded to four dps?
0.201
Round 61596364.97 to the nearest one hundred thousand.
61600000
Round -0.000000704322487 to 7 dps.
-0.0000007
What is -0.00044014387 rounded to four decimal places?
-0.0004
Round -0.002457852731 to four decimal places.
-0.0025
Round 749341.23 to the nearest one hundred.
749300
Round 0.0046389733 to 3 decimal places.
0.005
Round 0.000002697917609 to seven decimal places.
0.0000027
What is -0.00017353424 rounded to 5 decimal places?
-0.00017
Round -89600.262 to the nearest 10.
-89600
Round 3069.79244 to the nearest ten.
3070
What is 0.00580637911 rounded to 3 decimal places?
0.006
What is -0.0000709611337 rounded to 6 dps?
-0.000071
Round -196.11868805 to three dps.
-196.119
Round 13332847.6 to the nearest one million.
13000000
What is -54.37759773 rounded to two dps?
-54.38
Round -76.816036 to the nearest integer.
-77
What is -0.000212144421 rounded to five dps?
-0.00021
Round 0.0025512654 to five dps.
0.00255
Round -1820392 to the nearest ten thousand.
-1820000
What is -0.351714918 rounded to four decimal places?
-0.3517
Round 57331794440 to the nearest one million.
57332000000
What is -26.914459 rounded to two dps?
-26.91
Round -0.1184056506 to five dps.
-0.11841
Round 0.0028654892 to four decimal places.
0.0029
What is 1340394.98 rounded to the nearest 10000?
1340000
What is -14998566.46 rounded to the nearest one million?
-15000000
What is -0.000000000229296 rounded to six decimal places?
0
What is -920.556863 rounded to the nearest one hundred?
-900
Round 0.00038607738 to 5 decimal places.
0.00039
What is -4244.20962 rounded to the nearest integer?
-4244
What is 6340.47049 rounded to the nearest 10?
6340
What is 24399.9768 rounded to the nearest one thousand?
24000
What is 3.8123754 rounded to three decimal places?
3.812
Round 8440216.3 to the nearest 100000.
8400000
Round -4922.2571 to the nearest ten.
-4920
What is 6868555.334 rounded to the nearest one hundred thousand?
6900000
What is -9684.873242 rounded to the nearest integer?
-9685
What is -0.0014243574 rounded to 7 decimal places?
-0.0014244
Round -3582.580268 to 1 decimal place.
-3582.6
Round 3462845 to the nearest 10000.
3460000
Round -202.980231 to the nearest integer.
-203
Round 0.0000158436588 to six dps.
0.000016
What is 28532.535 rounded to the nearest 1000?
29000
What is 164944.173 rounded to the nearest one thousand?
165000
What is -2226.67452 rounded to 1 decimal place?
-2226.7
Round 138947021 to the nearest one hundred thousand.
138900000
What is -0.00198087463 rounded to seven dps?
-0.0019809
Round 3976225.391 to the nearest one thousand.
3976000
Round 0.010626981 to 3 dps.
0.011
What is 1309.729572 rounded to the nearest one hundred?
1300
Round 0.00061276113 to seven dps.
0.0006128
Round 28544.2859 to the nearest 100.
28500
Round -0.05207733362 to five dps.
-0.05208
Round 0.000199276437 to 5 dps.
0.0002
What is 7983530840 rounded to the nearest one hundred thousand?
7983500000
Round 796.87334 to 1 dp.
796.9
Round 0.01245696119 to six decimal places.
0.012457
What is -76.3739014 rounded to zero dps?
-76
What is 0.00034796707 rounded to 6 dps?
0.000348
What is -0.18153202652 rounded to 5 dps?
-0.18153
Round -274378003 to the nearest 10000.
-274380000
What is -478700480 rounded to the nearest one million?
-479000000
Round -178744.354 to the nearest ten.
-178740
What is -10671.393724 rounded to the nearest ten?
-10670
What is -1.4471052 rounded to 1 dp?
-1.4
Round 183.74944 to 1 dp.
183.7
Round 10044511.644 to the nearest ten thousand.
10040000
What is -0.1142162516 rounded to 5 decimal places?
-0.11422
Round -2604.548662 to zero decimal places.
-2605
Round -2538.14486 to the nearest integer.
-2538
What is -0.4872846299 rounded to 4 dps?
-0.4873
What is 1003924322.1 rounded to the nearest 100000?
1003900000
What is -6845.39943 rounded to the nearest one thousand?
-7000
Round 18.21636031 to the nearest ten.
20
What is -1587.50896 rounded to the nearest ten?
-1590
What is -431.658721 rounded to 1 dp?
-431.7
Round 0.000296872649 to 5 decimal places.
0.0003
What is -137.460768 rounded to three dps?
-137.461
Round -23354760.71 to the nearest 1000.
-23355000
Round -38391.5332 to the nearest 10000.
-40000
What is 20227311.29 rounded to the nearest 1000?
20227000
What is 14291.37451 rounded to the nearest ten?
14290
Round 3880232.07 to the nearest 100.
3880200
Round -26.2322811 to 1 dp.
-26.2
Round 0.28812189656 to three decimal places.
0.288
Round 26.51806119 to 3 dps.
26.518
What is -271949034 rounded to the nearest one hundred thousand?
-271900000
What is -0.00000325256767 rounded to six decimal places?
-0.000003
What is -0.005276858278 rounded to five decimal places?
-0.00528
Round -0.13607138 to four decimal places.
-0.1361
What is 8209616.5 rounded to the nearest ten thousand?
8210000
What is -0.00006577421209 rounded to seven decimal places?
-0.0000658
Round 2611.069513 to the nearest 10.
2610
What is 0.0446020236 rounded to six decimal places?
0.044602
What is -0.075548027 rounded to 5 decimal places?
-0.07555
Round -437842.216 to the nearest ten.
-437840
Round -2012664100 to the nearest 1000000.
-2013000000
What is 0.0004726889 rounded to three decimal places?
0
Round -0.00086476921 to five decimal places.
-0.00086
Round -17387371.79 to the nearest 1000000.
-17000000
What is -14.858327 rounded to 0 dps?
-15
Round -2025194920 to the nearest 100000.
-2025200000
What is -2926555673 rounded to the nearest one million?
-2927000000
What is -6.34254491 rounded to zero decimal places?
-6
What is -102.22565313 rounded to three dps?
-102.226
Round -908.065306 to the nearest ten.
-910
Round 0.0000009330491244 to seven dps.
0.0000009
What is -152773777 rounded to the nearest 100000?
-152800000
Round 172.744242 to the nearest 10.
170
Round -280.266233 to one decimal place.
-280.3
What is 174325.9504 rounded to the nearest ten?
174330
What is 0.000025540403 rounded to seven decimal places?
0.0000255
Round -32581.7648 to the nearest ten thousand.
-30000
Round -2.11854039 to 4 dps.
-2.1185
Round -0.02460680645 to 5 dps.
-0.02461
What is -0.008912893119 rounded to six dps?
-0.008913
Round -91.5091635 to the nearest 100.
-100
Round -6.770285385 to four dps.
-6.7703
What is -5351.786196 rounded to one decimal place?
-5351.8
What is -11758303.49 rounded to the nearest 100000?
-11800000
Round 1.0018306452 to 4 dps.
1.0018
What is -0.00000558763851 rounded to six dps?
-0.000006
What is 476007439 rounded to the nearest ten thousand?
476010000
What is 56160.311 rounded to the nearest one hundred?
56200
Round 14031.1168 to the nearest 100.
14000
What is -101670678.7 rounded to the nearest 1000000?
-102000000
What is 0.0241304268 rounded to five dps?
0.02413
What is -3162.6126 rounded to zero dps?
-3163
What is -2304.291269 rounded to zero dps?
-2304
Round -0.0035217993 to 6 decimal places.
-0.003522
What is -20703.767 rounded to the nearest ten?
-20700
What is 31.54120932 rounded to one decimal place?
31.5
What is -58.51492071 rounded to two decimal places?
-58.51
What is 0.000000689682896 rounded to seven decimal places?
0.0000007
Round 1520327893 to the nearest 100000.
1520300000
What is 103.4690899 rounded to the nearest integer?
103
Round -0.00000015168172 to 7 dps.
-0.0000002
Round -16405.21796 to the nearest 1000.
-16000
Round -0.002233092655 to 4 dps.
-0.0022
Round 610037.2 to the nearest 100000.
600000
What is 1506878674 rounded to the nearest 100000?
1506900000
What is 0.0000478154402 rounded to six dps?
0.000048
What is -44534986 rounded to the nearest one hundred thousand?
-44500000
Wh | {
"pile_set_name": "DM Mathematics"
} |
*3 - 28*w**2
Expand (5*p + 24 - 24)*(0 + 0 - p).
-5*p**2
Expand (-4*w + 11*w + 3*w)*(-2*w + 2 - 2 - 3*w + 0*w + w + 0 - w + 0 - 2*w + 6*w - 2*w + (2 - 6 + 2)*(4 - 2*w - 4) - 3*w + 5*w + 0*w).
30*w**2
Expand (-21 + 4 + 1)*(-3*z - z + 3*z).
16*z
Expand (4*j + j - 6*j)*(0*j + 3*j - j) + (j - 6*j + 2*j)*(7*j - 2*j - 3*j).
-8*j**2
Expand (-2 + 1 + 3 + (0 - 1 - 1)*(-1 + 1 - 1))*(-11*v - 16*v + 22*v) + 2*v - 1 + 1.
-18*v
Expand 0 - 2*r - 3 - 1 + (-2*r + 2*r + 2*r)*(1 + 3 - 3) - 4 + r + 4.
r - 4
Expand 1 - i - 1 + (-i + i - i)*(-1 + 1 - 2) + 4 - 4 + 2*i + 2 - 2 + i - 5 + 5 - 10*i.
-6*i
Expand (0*q + 0*q + 2*q**3)*((4*q - 2*q + 0*q)*(2*q - 2*q + q) - 17*q + 11*q**2 + 17*q).
26*q**5
Expand (-2*t + 6*t - 3*t)*(-9 + 1 - 3)*(-4*t**3 + 2*t**3 + 0*t**3).
22*t**4
Expand 3*u**4 + 37*u - 9*u**3 - 37*u + (3*u**2 - u**2 - 4*u**2)*(u - u - 2*u**2).
7*u**4 - 9*u**3
Expand (8 + 6 + 0)*(-1 + 1 - 2*m).
-28*m
Expand (2*p + 2 + 0 - 3*p)*(5*p**2 - p**2 + 2*p**2).
-6*p**3 + 12*p**2
Expand (m**2 + 0*m**2 + m**2)*(-6 + 13*m**2 + 6) + (-2*m**2 - 2 + 2)*(-2*m**2 + 3*m**2 - 3*m**2) - 3*m**4 - 3*m**4 + 5*m**4.
29*m**4
Expand 5*s**2 + 2*s**4 + 1 - 4*s**2 + 3*s**2 + (1 + s**3 - 1)*(s + 0*s + 0*s).
3*s**4 + 4*s**2 + 1
Expand (-2*x**4 + 0*x + 0*x)*((0 + 0 - 1)*(-4 + 1 + 1) + (-1 - 1 + 3)*(-2 + 0 + 3)).
-6*x**4
Expand 3*b**4 - 4*b**4 - 2*b**4 + 3*b**4 + 3*b**4 - 5*b**4 + (0*b + 4*b - 6*b)*(-3*b + b**3 + 3*b) + 6*b**4 - 1 - 3*b**4 - b**4.
-2*b**4 - 1
Expand -1 - 2*m + 1 + (-m - 1 + 1)*(3 - 2 - 2) - m + 0*m + 3*m + (-3*m - m + 2*m)*(-1 + 1 - 1) + m + m + 0*m.
5*m
Expand (f + 8*f - 3*f)*(2*f**2 + 4*f - 4*f + 2*f).
12*f**3 + 12*f**2
Expand (-4 + 2 + 0)*(j + 4 - 4) + 4*j - 3*j + 11*j.
10*j
Expand (-1 + 6 - 3)*(-3*y**2 + 0*y**2 + y**2) + (-1 + 1 + y)*(y - 4*y + 4*y).
-3*y**2
Expand (-1 - 3 + 3 - 4 + 7 + 1 + (-1 + 5 - 2)*(1 - 1 + 1))*(-2*y**2 + 2*y**2 - y**2).
-5*y**2
Expand -3*x**2 - 3*x + 2*x**2 + x + 3*x**2 - 4*x**2 + 0*x**2 + (-3 + 4*x + 3)*(3*x + 4*x - 6*x).
2*x**2 - 2*x
Expand (7*q - 47*q + 2*q + (4*q - 3*q + 0*q)*(-2 + 3 - 3) - 2*q - 2 + 2 + 3*q + q - 2*q)*(-3 + 5 + 1).
-120*q
Expand (-3*p - p + 3*p)*(33*p**2 - 25 + 25).
-33*p**3
Expand (12 + 11 - 6)*(5*b + 2*b - 3*b).
68*b
Expand (-5*p + 4*p - p)*(2 + 0 - 4)*(-37 - 41 + 33).
-180*p
Expand (-3 - 1 + 6)*(0*t + t + 0*t) + 4*t - 4 + 4 + (1 - 5 + 2)*(-t + 0 + 0) - 2 - t + 2 - 2 + t + 2.
8*t
Expand (0*z - 6*z + 7*z + 2)*(-1 - 1 + 1).
-z - 2
Expand 2*o - 4*o + o + (-1 - 1 + 5)*(0*o - 2*o + 0*o).
-7*o
Expand -4*t**3 + 3*t**3 + 0*t**3 + (-1 - 4 + 3)*(2*t**3 - 4*t**3 + 3*t**3) + t**3 - 5*t**3 + 2*t**3 + t**3 - t - t**2 + 0*t**3 - 2*t**3.
-6*t**3 - t**2 - t
Expand (-2*o**2 + 0*o + 0*o)*(-1 - 2 + 0 + (0 - 3 - 2)*(0 + 2 + 0) - 2 + 0 + 1).
28*o**2
Expand (-6*g + 2 + 7*g + 3*g + 4*g**2)*(-4*g + 5*g + 0*g).
4*g**3 + 4*g**2 + 2*g
Expand (-2 - 13*y + 16*y + 5)*(3*y - 2*y - 3*y).
-6*y**2 - 6*y
Expand (4*x + 2*x - 4*x)*(6*x - 2*x - 2*x) + (-2*x + 0*x + 0*x)*(0*x - 3*x + 8*x).
-6*x**2
Expand (-10 - 16 + 7)*(-t - 2 + 2).
19*t
Expand -r**4 + 3 - 3 + (-2*r**3 - 3*r**2 + 3*r**2)*(4*r - 4*r - 2*r) + 2*r - r**4 - 2*r - r + r + r**4 - 4*r**4 + 4*r**4 + 2*r**4 + r**4 + 3*r - 3*r.
6*r**4
Expand (-2 + 11 - 4)*(2*p - 4 + 4).
10*p
Expand 3*n**3 + 2*n**3 - 4*n**3 - n**3 + 3*n**3 + 0*n**3 - 2*n**3 + 0 + 0 + (1 - 1 + n)*(n**2 + 3*n**2 - 3*n**2) + 2*n - 3*n**3 + 0*n**3 + 2*n**3.
n**3 + 2*n
Expand (314*v - 314*v + 34*v**2)*(-5*v + 0*v + 3*v).
-68*v**3
Expand 2*n**4 + n**5 - 2*n**4 + (2*n**4 + 4*n**3 - 4*n**3)*(-6*n - 9 + 9) - n**5 - 2*n**5 + 2*n**5 - 3*n**5 - n**5 + 5*n**5.
-11*n**5
Expand (0*i - 3*i - 5*i)*(2*i**2 + 3*i - 3*i - 2*i**2 + 4*i**2 - i**2 + 3*i**2 + i**2 - 2*i**2 + (-i + 0*i + 0*i)*(i + 2*i - 5*i)).
-56*i**3
Expand 0*d + 0*d + 2*d**5 + (-2 - 2 - 5)*(-2 + 2 + 3*d)*(-2*d**4 - 3*d**4 + 4*d**4).
29*d**5
Expand (-3 - g + 3)*(-35*g + 71*g - 3*g).
-33*g**2
Expand (-2*l + 5*l - l)*(l - 6*l + 0*l**3 - l**3).
-2*l**4 - 10*l**2
Expand -2*u + 0 + 0 + (-13*u + 6*u + u)*(-2 + 0 + 0).
10*u
Expand (-1 + 2 - 9)*(-3*c**2 + 3*c**2 + 4*c**5) - c**5 - 2*c**5 + c**5.
-34*c**5
Expand (-4 + 3 + 2)*(-1 - 2*i + 1) + (-4 - 2*i + 4)*(6 + 9 - 3).
-26*i
Expand (-3*f**2 + 2*f**2 + 0*f**2)*(f**3 - f**3 - f**3) + f**5 + 1 + 7*f**5 - 3*f**5.
6*f**5 + 1
Expand (2*g + 0*g - g)*(-6*g**4 + 353*g**3 - 353*g**3).
-6*g**5
Expand (-14 - 13 + 2)*(-2*z + z + 3*z + (2*z + 2 - 2)*(-2 + 4 + 0) + 3 + 2*z - 3).
-200*z
Expand (0*z + 6*z - 4*z)*(-3 + 1 - 3)*(-4*z**2 - z**2 + 3*z**2).
20*z**3
Expand -6*r**2 + 3*r**2 + 0*r**2 + (5 + 1 - 2)*(-1 + 1 - r**2) + 3*r**2 - 2*r**2 - 3*r**2.
-9*r**2
Expand (u - u + u)*(0*u**2 - 2*u**2 + 0*u**2 + (3*u**2 - 4*u**2 + 2*u**2)*(-4 + 0 + 3)).
-3*u**3
Expand 2 - 2*f - 2 - 3*f + 4*f - 3*f + (3*f - 1 + 1)*(-1 - 3 + 2) + 3*f - 2*f + f + (1 - 2 + 2)*(f - 2*f - f).
-10*f
Expand (-c - c + 3*c)*(8*c**3 - 102*c**2 + 102*c**2 + 3*c**4 - 1).
3*c**5 + 8*c**4 - c
Expand 3*g**3 + 0*g**3 + 2*g**3 + (-2*g**2 + 1 - 1)*(-6*g + 0*g + 3*g).
11*g**3
Expand (0 + 7 - 3)*(-2*q - q + 0*q).
-12*q
Expand -8 + 8 - l + (-l + 3*l - 3*l)*(3 + 3 - 4).
-3*l
Expand (0*j + 4*j - 3*j)*(-j**2 - 4*j**2 - 2*j**2) - 2*j**3 - j**3 + 5*j**3 - 2*j**3 + 2*j**3 - j**3 + (2*j**2 - 3*j**2 + 3*j**2)*(-3*j + 3*j - j).
-8*j**3
Expand (-o**2 + o**2 - 2*o**2 - o**2 - 5*o + 5*o + (0 - 5 + 4)*(-2*o**2 + 4*o**2 - 4*o**2))*(o**2 + 3*o - 3*o) + 0 - 4*o**4 + 0.
-5*o**4
Expand 3*m + m**2 - 3*m + (m - 2*m + 0*m)*(3*m + m - 8*m).
5*m**2
Expand (2974 - 2974 - 43*u**2)*(2*u - 1 + 1).
-86*u**3
Expand (-2*f**2 + 1 - 1)*(-1 + f**3 + 1) + (5*f - f - 3*f)*(-f**4 - 6*f**4 - f**4).
-10*f**5
Expand (5*v + 0*v + 2*v)*(-3 - 3 + 7)*(-2 - 3 + 4).
-7*v
Expand 0*i**3 - 4*i**3 + 2*i**3 + (4 - 2*i**2 - 4)*(4*i + 4 - 4).
-10*i**3
Expand (-p**3 + 4*p**3 - 2*p**3)*(9*p - 15*p - 16*p) + 0*p**4 + 2*p**4 + 0*p**4 + (-p + 0*p + 2*p)*(2*p - 2*p - p**3) + 3*p**4 - p**4 + 0*p**4.
-19*p**4
Expand (2*h**3 + h**4 - 2*h**3)*(h - 2 + 2) - 9*h**2 + 9*h**2 + h**5.
2*h**5
Expand (2 + 7*f**2 - 2)*(0*f - 3*f + f) - 3*f**3 - f**3 + 3*f**3 + 2*f**3 - 2*f**3 - 2*f**3 - 3*f**3 + 0*f**3 + 2*f**3 + (0 - 2 + 1)*(f**3 + 2*f - 2*f).
-19*f**3
Expand -2*g**5 + 5*g**5 - 2*g**5 + (0*g**3 + 2*g**3 - g**3)*(g**2 + 0 + 0) + (-g**2 - 3*g + 3*g)*(-4*g**3 + 0*g**3 + 2*g**3).
4*g**5
Expand (-5*k**2 - 4 + 4)*(-3*k + 5*k - 3*k + (5 + 0 - 3)*(k + k - k)).
-5*k**3
Expand (-a**2 + 2*a**2 + 7*a**2)*(-a + a + a**3).
8*a**5
Expand (2*g - 2*g + g)*(-2*g + 5*g - 2*g)*(2*g + 3*g - 3*g).
2*g**3
Expand (-4 + 1 + 0)*(-3 - 2 + 4)*(-k - 1 + 1).
-3*k
Expand 2*u**3 - 14*u**2 + 14*u**2 + (2*u**2 + 0*u**2 - 3*u**2)*(0*u - 5*u + 0*u).
7*u**3
Expand (-1 + 1 - 1)*(-2*x - 3*x + 0*x) - 9*x - 7*x + 10*x.
-x
Expand (-3 - 3*r + 6*r - 2*r)*(r + 7 - 7).
r**2 - 3*r
Expand (-4*q**4 + 2*q**4 - 10*q + 9*q)*(-6 + 2 + 3).
2*q**4 + q
Expand -i**5 - 2*i**5 + 5*i**5 + (-2*i + i + 0*i)*(0*i**4 - 3*i**3 + 0*i**4 - i**4).
3*i**5 + 3*i**4
Expand 0*y + 0*y - 2*y - 2*y - 4*y + 5*y - 2 + 2 + y + (-y + 0*y + 0*y)*(2 + 4 - 4) + y + y - 4*y + 0*y - 2*y + 3*y.
-5*y
Expand 0*u - 2*u - u - 2*u + 3*u - 2*u - 2 + 2 + u + (-4 + 2 + 1)*(-2*u + 4*u - u) - 5*u + 0*u + 3*u - 5 + 5 - u - 2*u + 7*u - u.
-3*u
Expand 0*p - 2*p + 0*p + (-3*p - 1 + 1)*(2 + 5 - 4)*(1 - 2 - 3) - 2*p + 4*p - 4*p.
32*p
Expand (3*z**2 + z**2 - 2*z**2)*(47*z + 434 - 434).
94*z**3
Expand (-6*d**2 + d**2 + 3*d**2)*(d - 2 + 2 + 2*d + d - d + (4 - 3 - 3)*(-3*d + 4*d - 3*d) + 0 + 3*d + 0).
-20*d**3
Expand (-1 - 3 + 1)*((6 - 2 - 3)*(2*f**3 - 3*f**3 - f**3) + f**3 + 3*f**3 - 3*f**3 + 0*f**3 - 2*f**3 + 0*f**3).
9*f**3
Expand -12*i**2 - i**4 - 2 + 12*i**2 + (-1 + 1 + 2*i**3)*(-i + 2*i + 0*i).
i**4 - 2
Expand -t**2 + 0*t**2 + 3*t**2 - 3*t**2 + 4*t**2 + 0*t**2 + (2*t - 2*t - 2*t)*(t + 2 - 2) + (-1 + 1 + 2*t)*(3*t - 6*t + 4*t - 1).
3*t**2 - 2*t
Expand (-i**5 - 1 + 1)*(-45 - 59 + 43).
61*i**5
Expand (1 + 4 + 0 - 2*n)*((2*n + 2*n - 2*n)*(1 + 2 - 2) + 1 - 1 + 2*n).
-8*n**2 + 20*n
Expand (3*f**2 - 6*f**2 + 4*f**2)*(1 + 2*f**2 - 1) + 5*f**3 - 6*f**3 - f**4 - 7*f**3.
f**4 - 8*f**3
Expand (-4*v + 6*v + v)*(-5 - 1 - 1 + (-3 + 3 + 1)*(1 + 2 - 2) + (1 - 4 + 0)*(2 - 1 + 1)).
-36*v
Expand 0*m - 3*m + m + (6 + 4 - 2)*(4*m - 4*m + m).
6*m
Expand 11*p**2 - 5*p**2 + 9*p**2 + (3*p - 3*p + p**2)*(6 - 2 - 3).
16*p**2
Expand (34*t + 55*t - 60*t + (-2 + 3 + 0)*(-t - 3*t + 5*t))*((0*t + 2*t - 4*t)*(t**2 | {
"pile_set_name": "DM Mathematics"
} |
ime factors of 1491?
3, 7, 71
What are the prime factors of 358?
2, 179
What are the prime factors of 549?
3, 61
List the prime factors of 108857.
7, 15551
What are the prime factors of 530?
2, 5, 53
List the prime factors of 52844.
2, 11, 1201
What are the prime factors of 107711?
19, 5669
List the prime factors of 162888.
2, 3, 11, 617
List the prime factors of 1498.
2, 7, 107
List the prime factors of 5674.
2, 2837
What are the prime factors of 4562?
2, 2281
What are the prime factors of 629?
17, 37
What are the prime factors of 37237?
23, 1619
List the prime factors of 63944.
2, 7993
List the prime factors of 1711.
29, 59
List the prime factors of 2883.
3, 31
List the prime factors of 10927.
7, 223
List the prime factors of 85217.
11, 61, 127
List the prime factors of 178206.
2, 3, 7, 4243
List the prime factors of 3327.
3, 1109
What are the prime factors of 1394?
2, 17, 41
List the prime factors of 1273.
19, 67
What are the prime factors of 114569?
7, 13, 1259
List the prime factors of 12549.
3, 47, 89
What are the prime factors of 81045?
3, 5, 1801
List the prime factors of 3860.
2, 5, 193
List the prime factors of 12106.
2, 6053
List the prime factors of 25664.
2, 401
What are the prime factors of 3267?
3, 11
List the prime factors of 1474.
2, 11, 67
List the prime factors of 2169.
3, 241
What are the prime factors of 1332?
2, 3, 37
What are the prime factors of 11806?
2, 5903
What are the prime factors of 727?
727
List the prime factors of 2159.
17, 127
List the prime factors of 617.
617
List the prime factors of 23458.
2, 37, 317
List the prime factors of 100343.
100343
What are the prime factors of 2591?
2591
List the prime factors of 6819.
3, 2273
What are the prime factors of 23349?
3, 43, 181
List the prime factors of 13681.
13681
List the prime factors of 1203.
3, 401
List the prime factors of 4178.
2, 2089
List the prime factors of 31012.
2, 7753
What are the prime factors of 178850?
2, 5, 7, 73
List the prime factors of 19994.
2, 13, 769
List the prime factors of 11236.
2, 53
What are the prime factors of 27209?
7, 13, 23
What are the prime factors of 18487?
7, 19, 139
What are the prime factors of 3924?
2, 3, 109
What are the prime factors of 4440?
2, 3, 5, 37
What are the prime factors of 769?
769
List the prime factors of 15967.
7, 2281
What are the prime factors of 25239?
3, 47, 179
What are the prime factors of 5378?
2, 2689
What are the prime factors of 2301?
3, 13, 59
List the prime factors of 3840.
2, 3, 5
What are the prime factors of 1408?
2, 11
List the prime factors of 119668.
2, 29917
List the prime factors of 10521.
3, 7, 167
List the prime factors of 57066.
2, 3, 9511
List the prime factors of 49982.
2, 67, 373
What are the prime factors of 38186?
2, 61, 313
What are the prime factors of 97041?
3, 7, 4621
List the prime factors of 1145.
5, 229
List the prime factors of 298.
2, 149
What are the prime factors of 22506?
2, 3, 11, 31
What are the prime factors of 2292?
2, 3, 191
List the prime factors of 192243.
3, 64081
What are the prime factors of 11979?
3, 11
List the prime factors of 6154.
2, 17, 181
What are the prime factors of 61453?
7, 8779
What are the prime factors of 30894?
2, 3, 19, 271
List the prime factors of 1021.
1021
List the prime factors of 514.
2, 257
What are the prime factors of 1134?
2, 3, 7
What are the prime factors of 1634?
2, 19, 43
List the prime factors of 85567.
41, 2087
List the prime factors of 1066.
2, 13, 41
List the prime factors of 167078.
2, 139, 601
List the prime factors of 47457.
3, 5273
List the prime factors of 1414.
2, 7, 101
What are the prime factors of 5117?
7, 17, 43
List the prime factors of 29610.
2, 3, 5, 7, 47
What are the prime factors of 4736?
2, 37
What are the prime factors of 1340?
2, 5, 67
What are the prime factors of 50612?
2, 12653
What are the prime factors of 193?
193
What are the prime factors of 2574?
2, 3, 11, 13
What are the prime factors of 42417?
3, 1571
What are the prime factors of 9912?
2, 3, 7, 59
List the prime factors of 771.
3, 257
What are the prime factors of 2365?
5, 11, 43
What are the prime factors of 2596?
2, 11, 59
What are the prime factors of 20775?
3, 5, 277
List the prime factors of 2262.
2, 3, 13, 29
What are the prime factors of 5445?
3, 5, 11
List the prime factors of 69562.
2, 34781
What are the prime factors of 1302?
2, 3, 7, 31
What are the prime factors of 1461?
3, 487
List the prime factors of 1591.
37, 43
What are the prime factors of 1576?
2, 197
What are the prime factors of 7273?
7, 1039
What are the prime factors of 1117?
1117
What are the prime factors of 2822?
2, 17, 83
What are the prime factors of 45557?
45557
List the prime factors of 4212.
2, 3, 13
What are the prime factors of 904?
2, 113
What are the prime factors of 769?
769
List the prime factors of 2306.
2, 1153
What are the prime factors of 186206?
2, 93103
List the prime factors of 5853.
3, 1951
List the prime factors of 1825.
5, 73
List the prime factors of 1371.
3, 457
List the prime factors of 32375.
5, 7, 37
List the prime factors of 7044.
2, 3, 587
List the prime factors of 781.
11, 71
What are the prime factors of 1759?
1759
List the prime factors of 126.
2, 3, 7
List the prime factors of 28147.
7, 4021
What are the prime factors of 1711?
29, 59
List the prime factors of 11562.
2, 3, 41, 47
List the prime factors of 16005.
3, 5, 11, 97
List the prime factors of 50.
2, 5
What are the prime factors of 31804?
2, 7951
What are the prime factors of 69897?
3, 23, 1013
What are the prime factors of 3635?
5, 727
List the prime factors of 16600.
2, 5, 83
List the prime factors of 51409.
101, 509
What are the prime factors of 2021?
43, 47
List the prime factors of 4781.
7, 683
What are the prime factors of 201?
3, 67
List the prime factors of 157.
157
List the prime factors of 13310.
2, 5, 11
What are the prime factors of 1944?
2, 3
List the prime factors of 1131.
3, 13, 29
What are the prime factors of 73583?
73583
List the prime factors of 5902.
2, 13, 227
List the prime factors of 2979.
3, 331
List the prime factors of 1119.
3, 373
List the prime factors of 1634.
2, 19, 43
List the prime factors of 159608.
2, 71, 281
What are the prime factors of 334?
2, 167
What are the prime factors of 698?
2, 349
List the prime factors of 1255.
5, 251
List the prime factors of 529.
23
What are the prime factors of 393?
3, 131
List the prime factors of 11156.
2, 2789
What are the prime factors of 54384?
2, 3, 11, 103
List the prime factors of 1320.
2, 3, 5, 11
List the prime factors of 34037.
101, 337
What are the prime factors of 61927?
61927
List the prime factors of 1368.
2, 3, 19
What are the prime factors of 5262?
2, 3, 877
List the prime factors of 11943.
3, 1327
List the prime factors of 6668.
2, 1667
List the prime factors of 42624.
2, 3, 37
List the prime factors of 8245.
5, 17, 97
List the prime factors of 22905.
3, 5, 509
What are the prime factors of 11942?
2, 7, 853
List the prime factors of 4295.
5, 859
List the prime factors of 5661.
3, 17, 37
List the prime factors of 6809.
11, 619
List the prime factors of 568.
2, 71
What are the prime factors of 804?
2, 3, 67
List the prime factors of 11811.
3, 31, 127
What are the prime factors of 10839?
3, 3613
What are the prime factors of 3229?
3229
What are the prime factors of 1408?
2, 11
What are the prime factors of 309?
3, 103
List the prime factors of 1453.
1453
List the prime factors of 2131.
2131
List the prime factors of 8039.
8039
List the prime factors of 9781.
9781
What are the prime factors of 96182?
2, 48091
List the prime factors of 80486.
2, 7, 5749
What are the prime factors of 54039?
3, 18013
What are the prime factors of 348?
2, 3, 29
What are the prime factors of 88851?
3, 7, 4231
What are the prime factors of 655?
5, 131
What are the prime factors of 4524?
2, 3, 13, 29
List the prime factors of 868.
2, 7, 31
List the prime factors of 346.
2, 173
List the prime factors of 1905.
3, 5, 127
What are the prime factors of 2199?
3, 733
List the prime factors of 2041.
13, 157
What are the prime factors of 1588?
2, 397
List the prime factors of 29.
29
List the prime factors of 22855.
5, 7, 653
List the prime factors of 685.
5, 137
What are the prime factors of 11524?
2, 43, 67
List the prime factors | {
"pile_set_name": "DM Mathematics"
} |
k - x = -5 + 13. Let l(q) = 5*q - k*q + 0*q - 4*q. Let a(c) = -2*c. Determine l(a(i)).
10*i
Let l(c) = -6*c**2. Let w(j) = 3*j + 4. Let g(m) = -m - 1. Let u(k) = 12*g(k) + 3*w(k). Give l(u(p)).
-54*p**2
Let o(x) = 5*x + 3. Let z(j) = 4*j + 2. Let m(d) = -2*o(d) + 3*z(d). Let q(u) = 16*u**2. Calculate m(q(k)).
32*k**2
Let b(d) = 3*d. Let o(m) = -12*m**2 + 2*m - 2. Let x(f) = 13*f**2 - 3*f + 3. Let z(y) = -3*o(y) - 2*x(y). What is z(b(a))?
90*a**2
Let s(m) = m. Let w(t) = 16*t**2 - 5*t. Let r(n) = 16*n**2 - 4*n. Let j(y) = 5*r(y) - 4*w(y). Give s(j(i)).
16*i**2
Let k = 14 - 10. Let p(a) = k*a**2 + a**2 - 3*a**2 - 4*a**2. Let l(f) = 2*f**2. What is l(p(o))?
8*o**4
Let r(z) = 2*z**2. Let g(p) be the first derivative of 1/2*p**2 + 1 + 0*p. Determine r(g(w)).
2*w**2
Let x(b) be the first derivative of -b**5/40 + 4*b**3/3 - 1. Let f(c) be the third derivative of x(c). Let w(i) = i. What is w(f(n))?
-3*n
Let v(q) = -q**2 + 22. Let p(t) = 9*t**2 - t. What is p(v(f))?
9*f**4 - 395*f**2 + 4334
Let f(m) = -2 + 6 - 4 - m**2. Let g(u) = -50*u**2. Determine g(f(q)).
-50*q**4
Let n be -1*(3 - 4 - 1). Let s(z) = 5*z**2 - n*z**2 + 2*z**2. Let w(k) = -2*k. Determine s(w(x)).
20*x**2
Let r(p) = 10*p. Let m(d) = 894*d. Determine m(r(s)).
8940*s
Let s(v) = -v**2. Let n(d) = 3*d**3 - 2*d**2 - d + 2. Let c be n(1). Let i(p) = -7 + 9 - c - 6*p**2. Give s(i(u)).
-36*u**4
Let s(c) = -17 + c + 17. Let i(v) be the second derivative of v**4/12 + v. Calculate i(s(y)).
y**2
Let i(w) = -253*w. Let r(p) = 7*p. Give r(i(g)).
-1771*g
Let m(y) = -2*y**2. Let t(i) = -17356*i. Determine m(t(b)).
-602461472*b**2
Let k(r) = r. Let l(p) = p**3 + 3*p**2 - 6*p - 5. Let i = -8 - -4. Let n be l(i). Let o(z) = -n + 10*z + 3 - 5*z. What is k(o(m))?
5*m
Let b(z) = -26*z. Let l(v) = 4*v**2. Give b(l(q)).
-104*q**2
Let o(h) = h**2 + 20*h. Let g(d) be the first derivative of d**2/2 - 4. Calculate o(g(c)).
c**2 + 20*c
Let t(j) be the second derivative of -j**4/6 - j. Let x(m) be the second derivative of -m**4/6 - 3*m. Give t(x(a)).
-8*a**4
Let b(f) = -4*f**2. Let r(n) = -2 + 0*n + 4*n**2 + 0*n**2 + 2*n. Let v(s) = -13*s**2 - 7*s + 7. Let h(u) = 7*r(u) + 2*v(u). Give b(h(z)).
-16*z**4
Let k(a) = -2*a**2. Let p(s) = -s**2 + 3*s. Let v(o) be the third derivative of -o**4/24 + 3*o**2. Let b(c) = p(c) + 3*v(c). Give k(b(z)).
-2*z**4
Let s(c) be the first derivative of -c**3/3 - 10. Let y(t) = 19*t**2 - 13. Let j(u) = -3*u**2 + 2. Let p(w) = 39*j(w) + 6*y(w). What is s(p(k))?
-9*k**4
Let i(z) = -9*z**2. Let g(o) = 5*o**2 - 5*o**2 + 5*o**2 - 4*o**2. Give i(g(c)).
-9*c**4
Let v(o) = -3*o. Suppose 3*y - 6 = -0. Let l(x) = y + 2*x - 2 - x. Calculate v(l(p)).
-3*p
Let i(m) = 3*m**2. Let z(b) = 71*b - 71*b - 2*b**2. Give i(z(n)).
12*n**4
Let w = 77 + -26. Let i(v) = -50*v + 3 - 3 + w*v. Let u(y) = 2*y**2. Give u(i(d)).
2*d**2
Suppose 9*v - 6*v = 0. Let n(j) be the second derivative of 1/6*j**3 - 3*j + v + 0*j**2. Let x(g) = -g. Determine n(x(i)).
-i
Let r(w) = w - 2. Let d(s) = 8*s - 20*s + 7*s + 6*s. Calculate r(d(x)).
x - 2
Let g be 8/(-20) + (-56)/10. Let b(o) = o**2 - 6*o. Let d(y) = -y. Let x(r) = g*d(r) + b(r). Let l(t) = -3*t**2. Calculate l(x(u)).
-3*u**4
Let j(s) = 7*s**2. Let z(p) = -5*p. What is j(z(m))?
175*m**2
Let o(j) = 20*j**2. Let x(t) = 152*t. Give o(x(z)).
462080*z**2
Let z(v) = -v**2 - 2*v**2 + 2*v**2. Let y(n) be the second derivative of 2*n**3/3 - n. Determine z(y(b)).
-16*b**2
Let j(r) = 3*r + 0*r - 2*r. Let p(h) be the third derivative of 0*h**3 - h**2 - 1/30*h**5 + 0 + 0*h + 0*h**4. What is p(j(c))?
-2*c**2
Let b(k) = 80*k + 21. Let f(z) = 2*z. What is f(b(u))?
160*u + 42
Let n(i) = 4*i. Let f(g) be the first derivative of 5*g**3/3 + 5. Give f(n(x)).
80*x**2
Let k(a) = -4*a. Let i be 1 - (-4)/(4 + -2). Let x(z) = z + 2*z + z - i*z. Give k(x(d)).
-4*d
Let s(z) = 25*z. Let w(b) = -17*b**2. Calculate s(w(h)).
-425*h**2
Let d(l) = 3*l - l + 2*l - 2*l. Let p(o) = 9*o. Give d(p(k)).
18*k
Let f(q) = -2*q**2. Let g(j) = -3*j + 3. Give g(f(z)).
6*z**2 + 3
Let f(g) = -g**2. Suppose 5*r - 28 - 22 = -5*v, 4*r + 2 = 3*v. Suppose w = -w + v. Let m(l) = -3*l + 3 - w. Determine f(m(p)).
-9*p**2
Let d(v) = v**2 - 2*v. Let u(z) = 3*z**2 - 9*z. Let h(o) = -9*d(o) + 2*u(o). Let s(j) = -4*j**2. Give h(s(w)).
-48*w**4
Let k(f) be the third derivative of f**7/560 + f**5/20 + f**2. Let h(i) be the third derivative of k(i). Let w(o) = o. Calculate w(h(n)).
9*n
Let z(l) be the first derivative of -50*l**3/3 - 18. Let o(b) = b**2. What is o(z(d))?
2500*d**4
Let u(z) be the first derivative of -7/2*z**2 - 1 + 0*z. Let h(v) = 2*v**2. What is u(h(x))?
-14*x**2
Let j(p) = 3*p. Suppose -i - i = -28. Let l(x) = -x + i - 14. Give j(l(m)).
-3*m
Let l(o) = 2*o**2. Let g(p) be the second derivative of -3*p**5/20 - p**2/2 + 4*p. Let s(m) be the first derivative of g(m). Calculate s(l(d)).
-36*d**4
Suppose 0 = 4*g - g - 48. Let o(b) = 7*b - g*b + 10*b. Let t(h) = 10*h. Determine t(o(n)).
10*n
Let j(m) = -5*m. Let i(p) be the second derivative of 1/6*p**4 + 0*p**3 + 0*p**2 + 0 + 5*p. Determine i(j(l)).
50*l**2
Let a(x) = -x. Let j(n) = 790*n. Determine a(j(r)).
-790*r
Let i(x) = -11*x**2. Let u(g) = 416*g**2. Give i(u(d)).
-1903616*d**4
Let q(d) = -2*d + 3. Let i(k) = -9*k**2. What is i(q(m))?
-36*m**2 + 108*m - 81
Let y(m) = 2602*m. Let h(f) = -f. What is y(h(z))?
-2602*z
Let z(w) = -27*w**2 - 21*w**2 + 37*w**2. Let u(q) = -2*q. Give u(z(m)).
22*m**2
Let o(w) = -25*w. Let s(y) be the second derivative of y**3/3 + 16*y. Calculate s(o(l)).
-50*l
Let c(x) = x. Suppose 0 = 12*a - 10*a. Let w(l) be the second derivative of 0*l**2 + 0 - 2*l + a*l**3 - 1/6*l**4. Give w(c(m)).
-2*m**2
Let s(p) = -p**2. Let j(g) = -631*g**2. Calculate j(s(c)).
-631*c**4
Let y(x) be the second derivative of x**3/6 - x. Let c(b) = 32*b + 25*b - 48*b. What is c(y(w))?
9*w
Suppose 17 = -5*l - 4*i, i + 1 = -4*l - 6. Let m be (l - 0) + (-6)/(-2). Let a(j) = 2*j**2 + 0*j**m - 3*j**2. Let z(q) = -q. Give a(z(k)).
-k**2
Let c(p) = -5*p. Let y(r) = -4*r + 7*r - 5*r. Calculate c(y(i)).
10*i
Let s(l) = -9*l**2. Let j(i) = -i**2. Let o(m) = 14*j(m) - 2*s(m). Let a(u) = 2*u + 1. Let n(g) = g + 1. Let p(x) = -a(x) + n(x). What is o(p(f))?
4*f**2
Let j(u) = -2*u + 8*u - 10*u. Let b(l) = -l + 5. Let q(f) = f - 3. Let t(y) = 3*b(y) + 5*q(y). Determine j(t(d)).
-8*d
Let w(u) = -2*u. Let s(k) = 9005*k. Calculate s(w(o)).
-18010*o
Let m(n) = -9*n. Let q(y) = 107*y**2. Give q(m(k)).
8667*k**2
Let z(x) = 8*x + 6. Let i(k) = -17*k - 13. Let f(r) = -6*i(r) - 13*z(r). Let q = 7 - 5. Let t(v) = 5*v**2 - 5*v**2 - 3*v**q. What is t(f(g))?
-12*g**2
Let u(w) = w. Let s(x) = -6*x**2 - 14*x. Let m(j) = -2*j**2 - 5*j. Let v(f) = -14*m(f) + 5*s(f). Calculate u(v(c)).
-2*c**2
Let j(d) = -16*d. Let s(l) = 56 + 2*l - 56. Determine j(s(q)).
-32*q
Let v(g) = -g**2. Let t(a) = 15*a + 20. What is v(t(c))?
-225*c**2 - 600*c - 400
Let s(o) be the first derivative of -19*o**2/2 + 9. Let d(g) = -g. Calculate s(d(r)).
19*r
Let z(p) = -18*p. Let f(l) = -l**2 + 4*l - 2. Let o(j) = 6*j**2 - 22*j + 11. Let q(i) = -22*f(i) - 4*o(i). What is z(q(g))?
36*g**2
Let s(w) = -7*w**2 + 4*w**2 - 7*w + 7*w. Let l(r) = -6*r**2. What is s(l(n))?
-108*n**4
Let y(i) = 5*i. Let q(p) = 6*p**2 - 5*p**2 + p**2. Give q(y(h)).
50*h**2
Let i(o) = 2*o. Let w(p) be the third derivative of 0*p**3 - 1/30*p**5 + 0 - p**2 + 0*p + 0*p**4. Determine w(i(l)).
-8*l**2
Let l(k) = 2*k. Let p be ((-8)/4 + 2)/1. Let t(n) be the third derivative of -2*n**2 + p + 0*n**3 + 0*n + 1/30*n**5 + 0*n**4. Determine t(l(q)).
8*q**2
Let y(u) = 2*u. Let f(l) be the third derivative of 7*l**4/24 + 26*l**2. Give y(f(x)).
14*x
Let i(b) = 3*b. Let r(q) = -2*q - 68. Calculate i(r(x)).
-6*x - 204
Let p(o) = -o**2 - 299. Let l(f) = 3*f. Calculate p(l(i)).
-9*i**2 - 299
Let q(z) = z**2 + 2*z + 2. Let i(o) = o**2 - o - 1. Let c(f) = 2*i(f) + q(f). Let l(m) be the second derivative of m**3/6 + 9*m. Calculate c(l(p)).
3*p**2
Let i(x) = 2*x. Let v(u) = -935*u**2. Give i(v(l)).
-1870*l**2
Let m(f) be the third derivative of 19*f**5/10 - 2*f**2 + 4. Let p(z) = z**2. Calculate p(m(s)).
12996*s**4
Let w(z) be the first derivative of -5*z**3/3 + 1. Let v(y) = -3*y + 1 - 4 + y + 3*y. Let t(r) = 3*r - 8. Let c(l) = 3*t(l) - 8*v(l). Give c(w(n)).
-5*n**2
Let | {
"pile_set_name": "DM Mathematics"
} |
eteen quarters of a kilometer?
4750
How many years are there in 7/2 of a decade?
35
What is 1/4 of a centimeter in micrometers?
2500
How many micrograms are there in 7052.74kg?
7052740000000
Convert 5.256372ml to litres.
0.005256372
How many months are there in twenty-three eighths of a decade?
345
What is fifteen quarters of a millennium in months?
45000
How many minutes are there in 4/15 of a hour?
16
What is thirty-one halves of a gram in milligrams?
15500
How many grams are there in 1.361784 tonnes?
1361784
What is 11/8 of a centimeter in micrometers?
13750
What is 1/100 of a litre in millilitres?
10
What is 432405.2 milligrams in kilograms?
0.4324052
What is 11/8 of a kilogram in grams?
1375
How many centimeters are there in 252.847um?
0.0252847
What is 3/32 of a tonne in grams?
93750
How many millimeters are there in fifty-three fifths of a meter?
10600
What is 24002.48 tonnes in milligrams?
24002480000000
What is 6/5 of a centimeter in micrometers?
12000
How many millilitres are there in 9/10 of a litre?
900
What is 9.493014 meters in millimeters?
9493.014
What is 6/5 of a litre in millilitres?
1200
How many grams are there in 21/4 of a kilogram?
5250
How many minutes are there in 3/5 of a week?
6048
What is 7/4 of a kilogram in grams?
1750
How many microseconds are there in eleven eighths of a millisecond?
1375
What is 8/7 of a week in minutes?
11520
What is twenty-five quarters of a litre in millilitres?
6250
What is 13/8 of a millimeter in micrometers?
1625
Convert 715.968 microseconds to milliseconds.
0.715968
Convert 0.015332 microseconds to seconds.
0.000000015332
How many millilitres are there in five eighths of a litre?
625
How many milligrams are there in 37/5 of a gram?
7400
Convert 5341.075ug to nanograms.
5341075
How many tonnes are there in 94443.28 milligrams?
0.00009444328
How many grams are there in 6574.371ug?
0.006574371
How many kilograms are there in 7/2 of a tonne?
3500
Convert 3.676209 litres to millilitres.
3676.209
How many years are there in six fifths of a decade?
12
How many meters are there in 215.5455nm?
0.0000002155455
What is twenty-nine halves of a minute in seconds?
870
How many milligrams are there in eleven quarters of a gram?
2750
What is 6/5 of a millennium in years?
1200
How many millimeters are there in 17/2 of a centimeter?
85
How many nanoseconds are there in 7267.402 days?
627903532800000000
Convert 942.471t to kilograms.
942471
How many meters are there in 55946.9mm?
55.9469
What is 9.122115 litres in millilitres?
9122.115
Convert 88.995789 minutes to days.
0.06180263125
How many years are there in 80.4139 decades?
804.139
What is 1/30 of a day in minutes?
48
Convert 18045.396 months to decades.
150.3783
What is three tenths of a litre in millilitres?
300
Convert 6402.521 litres to millilitres.
6402521
What is 11/2 of a litre in millilitres?
5500
How many millimeters are there in 0.9059794km?
905979.4
How many litres are there in 80787.2 millilitres?
80.7872
How many micrograms are there in three tenths of a milligram?
300
How many milliseconds are there in 1/4 of a minute?
15000
What is 5/8 of a litre in millilitres?
625
What is 6110.406 millennia in centuries?
61104.06
What is 574567.4ug in tonnes?
0.0000005745674
How many micrograms are there in fifteen quarters of a milligram?
3750
What is eleven eighths of a kilogram in grams?
1375
How many months are there in three eighths of a millennium?
4500
What is 5.035126 micrograms in nanograms?
5035.126
What is three fifths of a kilometer in centimeters?
60000
What is 1/28 of a week in seconds?
21600
What is 0.3181888 nanograms in kilograms?
0.0000000000003181888
How many months are there in seven quarters of a year?
21
What is 27511.95 litres in millilitres?
27511950
How many meters are there in 96770.6cm?
967.706
What is fourty-one halves of a litre in millilitres?
20500
What is 87/5 of a millimeter in micrometers?
17400
What is 1.599557 nanometers in kilometers?
0.000000000001599557
Convert 54.35237 weeks to days.
380.46659
Convert 40.2108 milligrams to kilograms.
0.0000402108
Convert 9798.026 centuries to decades.
97980.26
Convert 60.1274 millilitres to litres.
0.0601274
How many millilitres are there in 51/5 of a litre?
10200
How many kilograms are there in 928.3174 nanograms?
0.0000000009283174
What is 3/50 of a kilometer in centimeters?
6000
How many millilitres are there in fifty-five halves of a litre?
27500
What is 638.859 litres in millilitres?
638859
Convert 488646.9 milligrams to kilograms.
0.4886469
What is fifty-one fifths of a microgram in nanograms?
10200
How many decades are there in 924568.8 millennia?
92456880
What is 17/2 of a microgram in nanograms?
8500
Convert 607879.8 litres to millilitres.
607879800
What is 54/5 of a millennium in years?
10800
How many micrograms are there in seventeen quarters of a milligram?
4250
Convert 786.3551g to micrograms.
786355100
How many millimeters are there in thirty-four fifths of a meter?
6800
Convert 641013.7um to meters.
0.6410137
How many minutes are there in 361.823 days?
521025.12
What is one fifth of a milligram in micrograms?
200
What is 7.072663 millimeters in meters?
0.007072663
What is 1/10 of a tonne in kilograms?
100
How many minutes are there in 2/7 of a week?
2880
How many hours are there in 4/21 of a week?
32
What is 0.3957443 litres in millilitres?
395.7443
What is 897.2131l in millilitres?
897213.1
What is seventeen halves of a centimeter in millimeters?
85
How many millilitres are there in seven quarters of a litre?
1750
What is seven eighths of a millimeter in micrometers?
875
Convert 406847.5l to millilitres.
406847500
Convert 229491.4ml to litres.
229.4914
What is 43/2 of a micrometer in nanometers?
21500
How many litres are there in 8642.648 millilitres?
8.642648
What is 483150.7 millilitres in litres?
483.1507
Convert 5.477393 years to millennia.
0.005477393
What is 7222.361 millilitres in litres?
7.222361
How many millilitres are there in 6/25 of a litre?
240
What is 371533.1 millimeters in meters?
371.5331
How many millilitres are there in 85.21143 litres?
85211.43
What is seventeen halves of a milligram in micrograms?
8500
What is nine tenths of a centimeter in micrometers?
9000
How many millilitres are there in 31/5 of a litre?
6200
What is 6.048409 millilitres in litres?
0.006048409
What is 13/4 of a litre in millilitres?
3250
How many micrograms are there in 92983.54 nanograms?
92.98354
Convert 9.109054 minutes to milliseconds.
546543.24
How many micrometers are there in 5/8 of a millimeter?
625
How many millilitres are there in 4.831084 litres?
4831.084
What is nineteen sevenths of a week in minutes?
27360
What is twenty-seven fifths of a kilogram in grams?
5400
How many minutes are there in 1/18 of a week?
560
What is 77.09445ng in micrograms?
0.07709445
What is 316.326 millilitres in litres?
0.316326
How many millilitres are there in 326.7193 litres?
326719.3
What is 6658.299 millilitres in litres?
6.658299
How many minutes are there in six fifths of a week?
12096
What is 5/4 of a millimeter in micrometers?
1250
What is fifty-one fifths of a litre in millilitres?
10200
How many meters are there in 48.80571cm?
0.4880571
What is 92751.35 decades in millennia?
927.5135
What is 7/2 of a micrometer in nanometers?
3500
What is 4794.892ml in litres?
4.794892
What is three eighths of a kilogram in grams?
375
What is 603105.9 microseconds in seconds?
0.6031059
Convert 0.8024234 nanograms to grams.
0.0000000008024234
What is 1/5 of a day in minutes?
288
Convert 4.50223 hours to seconds.
16208.028
How many seconds are there in three fifths of a minute?
36
How many minutes are there in 1/10 of a day?
144
How many millilitres are there in 21/8 of a litre?
2625
What is 1573.6923 minutes in hours?
26.228205
How many kilograms are there in fourty-three quarters of a tonne?
10750
What is 1405.9041 months in decades?
11.7158675
How many nanometers are there in eleven eighths of a micrometer?
1375
How many minutes are there in 13.856958s?
0.2309493
Convert 0.7105095 hours to microseconds.
2557834200
Convert 7688.663 micrometers to nanometers.
7688663
What is 12/25 of a centimeter in micrometers?
4800
How many seconds are there in 368.0665 minutes?
22083.99
How many millil | {
"pile_set_name": "DM Mathematics"
} |
ilinnnnniitw. What is prob of picking 1 l, 1 w, 1 e, and 1 t?
4/1615
Two letters picked without replacement from {w: 8, e: 3, m: 7}. Give prob of picking 2 m.
7/51
Three letters picked without replacement from nnnnn. Give prob of picking 3 n.
1
Two letters picked without replacement from koyokkoyoosyykoy. Give prob of picking 1 s and 1 y.
1/24
Calculate prob of picking 1 l and 1 m when two letters picked without replacement from {a: 1, m: 3, l: 3, g: 7}.
9/91
Four letters picked without replacement from cmcicccccciciibci. Give prob of picking 1 c, 2 i, and 1 b.
5/119
What is prob of picking 2 p when two letters picked without replacement from {r: 10, p: 4}?
6/91
Calculate prob of picking 1 u and 1 a when two letters picked without replacement from {j: 3, i: 3, a: 2, c: 1, u: 1}.
2/45
Calculate prob of picking 1 r and 1 s when two letters picked without replacement from {r: 9, g: 2, s: 5}.
3/8
What is prob of picking 1 u, 1 t, and 1 n when three letters picked without replacement from uluuzunlluuluuultt?
3/136
Calculate prob of picking 1 x and 3 m when four letters picked without replacement from xvmmxmxxmgme.
8/99
Three letters picked without replacement from aacacaca. What is prob of picking 3 a?
5/28
Two letters picked without replacement from {o: 1, c: 3, j: 5, k: 6, d: 2}. What is prob of picking 1 k and 1 c?
9/68
Four letters picked without replacement from uumrujruxuurl. Give prob of picking 1 u, 2 r, and 1 j.
18/715
Calculate prob of picking 1 c, 2 v, and 1 d when four letters picked without replacement from {v: 2, k: 5, r: 1, c: 1, u: 1, d: 5}.
1/273
What is prob of picking 1 z and 1 a when two letters picked without replacement from {v: 1, w: 1, z: 2, f: 8, a: 2}?
4/91
Calculate prob of picking 1 v and 1 t when two letters picked without replacement from {t: 3, p: 5, v: 2}.
2/15
Two letters picked without replacement from {g: 9}. What is prob of picking 2 g?
1
Three letters picked without replacement from ewaeffswsfffz. Give prob of picking 2 e and 1 a.
1/286
Three letters picked without replacement from incnknncncniii. What is prob of picking 3 n?
5/91
Three letters picked without replacement from {t: 3, p: 2, q: 10}. What is prob of picking 3 q?
24/91
Three letters picked without replacement from {m: 3, z: 4, o: 1, v: 1, a: 8}. What is prob of picking 1 m, 1 o, and 1 z?
3/170
Four letters picked without replacement from {a: 2, v: 1, o: 2, e: 1, y: 1}. Give prob of picking 2 a and 2 o.
1/35
Four letters picked without replacement from {q: 2, i: 2, r: 2}. Give prob of picking 1 i, 2 r, and 1 q.
4/15
Three letters picked without replacement from {o: 2, z: 1, k: 1, t: 1, b: 2, y: 2}. Give prob of picking 1 k, 1 b, and 1 o.
1/21
Three letters picked without replacement from xkmtkttktk. What is prob of picking 3 t?
1/30
Three letters picked without replacement from mmmmmmdmddmmdmmd. What is prob of picking 3 d?
1/56
Four letters picked without replacement from {r: 7, g: 6}. What is prob of picking 2 r and 2 g?
63/143
Four letters picked without replacement from uwuuwuuu. Give prob of picking 1 w and 3 u.
4/7
What is prob of picking 2 a when two letters picked without replacement from {q: 5, a: 2, u: 1, n: 1}?
1/36
What is prob of picking 2 t when two letters picked without replacement from yytnypyyrtbty?
1/26
Calculate prob of picking 2 h and 1 m when three letters picked without replacement from {m: 1, p: 2, h: 2, y: 1}.
1/20
Two letters picked without replacement from {f: 10, q: 3, l: 5, r: 2}. What is prob of picking 2 r?
1/190
What is prob of picking 3 s when three letters picked without replacement from sssgsssssssgs?
15/26
Four letters picked without replacement from nnnpnnnp. Give prob of picking 1 p and 3 n.
4/7
Three letters picked without replacement from vvyvvybvjvvyyyvv. Give prob of picking 1 y and 2 v.
9/28
What is prob of picking 2 k when two letters picked without replacement from nrwnknnnunwwurkwrwwk?
3/190
Four letters picked without replacement from {i: 1, y: 1, d: 2, r: 2, e: 1}. Give prob of picking 1 y, 2 d, and 1 e.
1/35
What is prob of picking 1 u, 2 o, and 1 i when four letters picked without replacement from {o: 4, i: 2, u: 10}?
6/91
Three letters picked without replacement from {q: 9, b: 7}. Give prob of picking 3 b.
1/16
Calculate prob of picking 1 j and 1 k when two letters picked without replacement from kkqjnq.
2/15
Four letters picked without replacement from kbekkbbb. What is prob of picking 2 b, 1 k, and 1 e?
9/35
What is prob of picking 1 j and 1 w when two letters picked without replacement from {d: 1, x: 4, w: 2, y: 3, j: 1}?
2/55
What is prob of picking 1 b and 1 c when two letters picked without replacement from cccccbcbcbc?
24/55
What is prob of picking 1 z, 1 w, and 1 c when three letters picked without replacement from wzjcmwmcccjzcjm?
4/91
Four letters picked without replacement from {f: 5, l: 7, t: 3, j: 4}. What is prob of picking 1 l, 1 f, and 2 t?
35/1292
Two letters picked without replacement from nppnjsssspssssps. What is prob of picking 1 n and 1 s?
3/20
Four letters picked without replacement from gabgbgbgaassgab. What is prob of picking 4 b?
1/1365
Two letters picked without replacement from xbbgxxgxgg. What is prob of picking 2 b?
1/45
Calculate prob of picking 2 b when two letters picked without replacement from {n: 2, o: 1, q: 1, p: 4, b: 2}.
1/45
What is prob of picking 2 y when two letters picked without replacement from yybyybyy?
15/28
Calculate prob of picking 1 g and 1 t when two letters picked without replacement from {e: 1, t: 1, g: 1}.
1/3
Calculate prob of picking 2 r when two letters picked without replacement from {k: 6, h: 1, r: 11}.
55/153
Two letters picked without replacement from gllgglllllglllldglll. What is prob of picking 2 g?
1/19
What is prob of picking 1 u and 1 d when two letters picked without replacement from suffduffefsfdfsbsusu?
4/95
Four letters picked without replacement from zrrrrzrrzzrzzrrrzzrz. What is prob of picking 4 z?
42/1615
Three letters picked without replacement from iiiiii. What is prob of picking 3 i?
1
Two letters picked without replacement from {w: 3, b: 2}. What is prob of picking 2 b?
1/10
Four letters picked without replacement from osyboossuubououoo. What is prob of picking 1 o, 2 u, and 1 b?
3/85
Three letters picked without replacement from {l: 2, i: 2, x: 4, g: 4}. What is prob of picking 1 g and 2 l?
1/55
What is prob of picking 2 b and 2 k when four letters picked without replacement from bbkbvsbskbbosbosvbv?
7/969
Calculate prob of picking 1 c and 1 a when two letters picked without replacement from {a: 3, c: 8}.
24/55
What is prob of picking 1 n and 1 q when two letters picked without replacement from {q: 5, n: 2, h: 7}?
10/91
What is prob of picking 1 u and 2 j when three letters picked without replacement from jup?
0
What is prob of picking 1 z, 1 r, and 1 x when three letters picked without replacement from zcrnczccxcrc?
1/55
Two letters picked without replacement from {x: 10, f: 9}. Give prob of picking 1 f and 1 x.
10/19
What is prob of picking 1 s and 3 k when four letters picked without replacement from kkkkkkkkkkkkkkskkkkk?
1/5
What is prob of picking 1 x, 1 y, and 1 f when three letters picked without replacement from bwfbxyg?
1/35
Three letters picked without replacement from yyqqqyqyqgyyqygqygy. What is prob of picking 3 y?
28/323
What is prob of picking 3 z and 1 n when four letters picked without replacement from {n: 6, z: 4}?
4/35
Two letters picked without replacement from umeyuyneeceu. Give prob of picking 1 c and 1 n.
1/66
Calculate prob of picking 2 d when two letters picked without replacement from {w: 8, d: 3, h: 1, c: 3, f: 3}.
1/51
Three letters picked without replacement from {p: 2, b: 2, e: 1, y: 1, t: 1}. What is prob of picking 1 t, 1 p, and 1 y?
2/35
Three letters picked without replacement from {a: 1, s: 1, u: 2, n: 4, q: 1}. What is prob of picking 1 s, 1 a, and 1 q?
1/84
What is prob of picking 1 r and 1 y when two letters picked without replacement from {r: 2, w: 1, v: 1, j: 1, y: 2}?
4/21
Three letters picked without replacement from {z: 2, g: 2, j: 5}. What is prob of picking 3 j?
5/42
Two letters picked without replacement from wknbwoobbbbokoqbb. Give prob of picking 1 o and 1 q.
1/34
What i | {
"pile_set_name": "DM Mathematics"
} |
s the highest common divisor of 3648 and 768?
192
What is the highest common divisor of 22 and 7656?
22
Calculate the greatest common factor of 1403 and 46.
23
What is the greatest common divisor of 918 and 16218?
306
What is the highest common divisor of 150 and 2600?
50
Calculate the highest common divisor of 963 and 261.
9
What is the highest common factor of 466 and 17009?
233
Calculate the highest common divisor of 69 and 17963.
23
What is the highest common divisor of 42 and 2982?
42
What is the highest common factor of 220 and 40?
20
Calculate the highest common factor of 132 and 28149.
33
Calculate the greatest common factor of 3744 and 54.
18
Calculate the highest common divisor of 230 and 90.
10
Calculate the greatest common factor of 43 and 688.
43
Calculate the highest common factor of 3012 and 12.
12
What is the highest common divisor of 8236 and 568?
284
Calculate the highest common divisor of 391 and 46.
23
What is the highest common factor of 992 and 62?
62
What is the greatest common factor of 91 and 533?
13
What is the highest common factor of 12686 and 2?
2
Calculate the greatest common divisor of 95 and 15.
5
Calculate the highest common factor of 550 and 33.
11
Calculate the highest common factor of 80 and 760.
40
Calculate the highest common factor of 18 and 1008.
18
What is the greatest common factor of 1498 and 70?
14
Calculate the highest common divisor of 68 and 500.
4
What is the highest common divisor of 369 and 54?
9
What is the highest common factor of 324 and 24462?
162
What is the greatest common divisor of 16 and 124?
4
What is the highest common divisor of 48 and 2816?
16
What is the greatest common divisor of 156 and 91?
13
Calculate the greatest common divisor of 108 and 28350.
54
What is the highest common factor of 765 and 1071?
153
What is the highest common factor of 27 and 675?
27
What is the greatest common divisor of 391 and 46?
23
Calculate the highest common factor of 143 and 949.
13
What is the greatest common factor of 388 and 19982?
194
Calculate the greatest common divisor of 270 and 10.
10
Calculate the highest common factor of 4 and 953.
1
What is the highest common factor of 17922 and 58?
58
What is the greatest common factor of 3296 and 2266?
206
What is the greatest common factor of 54 and 4194?
18
Calculate the greatest common divisor of 126 and 15246.
126
What is the greatest common factor of 10 and 95?
5
Calculate the highest common divisor of 604 and 4.
4
What is the highest common divisor of 90 and 54?
18
Calculate the highest common divisor of 7 and 161.
7
What is the highest common divisor of 430 and 5074?
86
What is the greatest common divisor of 8601 and 47?
47
Calculate the greatest common divisor of 38 and 646.
38
What is the highest common divisor of 17 and 119?
17
Calculate the greatest common factor of 4838 and 82.
82
Calculate the greatest common factor of 11514 and 304.
38
What is the greatest common factor of 32 and 2592?
32
Calculate the highest common factor of 65730 and 14.
14
Calculate the highest common factor of 714 and 210.
42
Calculate the highest common divisor of 4396 and 420.
28
What is the highest common divisor of 30 and 696?
6
Calculate the greatest common factor of 50 and 730.
10
Calculate the greatest common factor of 33 and 135.
3
Calculate the greatest common factor of 847 and 77.
77
What is the greatest common divisor of 2889 and 214?
107
What is the greatest common divisor of 62 and 7626?
62
What is the greatest common divisor of 36 and 1044?
36
Calculate the highest common factor of 2816 and 11.
11
What is the greatest common divisor of 1840 and 2070?
230
Calculate the greatest common divisor of 25808 and 24.
8
What is the highest common factor of 21 and 186?
3
What is the highest common divisor of 382 and 4393?
191
Calculate the highest common factor of 4 and 412.
4
Calculate the highest common factor of 472 and 885.
59
What is the highest common factor of 551 and 19?
19
Calculate the highest common divisor of 9 and 9567.
9
Calculate the greatest common factor of 5 and 425.
5
What is the greatest common divisor of 2856 and 21?
21
Calculate the greatest common divisor of 1000 and 64.
8
Calculate the highest common factor of 1 and 570.
1
Calculate the highest common factor of 6072 and 1320.
264
What is the highest common divisor of 66 and 748?
22
Calculate the highest common factor of 273 and 84.
21
What is the highest common factor of 5977 and 172?
43
What is the greatest common factor of 4843 and 29?
29
Calculate the greatest common factor of 1098 and 1037.
61
Calculate the greatest common factor of 1411 and 166.
83
What is the highest common factor of 120 and 25?
5
Calculate the highest common divisor of 59 and 1.
1
What is the greatest common divisor of 539 and 98?
49
What is the greatest common factor of 96 and 3372?
12
Calculate the highest common factor of 31 and 2263.
31
What is the highest common factor of 615 and 123?
123
What is the greatest common factor of 10 and 18610?
10
Calculate the greatest common factor of 792 and 16.
8
Calculate the greatest common divisor of 376 and 4.
4
Calculate the highest common factor of 10736 and 264.
88
Calculate the highest common divisor of 6 and 72.
6
What is the greatest common divisor of 1072 and 16?
16
What is the greatest common factor of 77 and 1067?
11
What is the highest common factor of 81 and 702?
27
Calculate the highest common divisor of 54 and 18.
18
What is the highest common factor of 45 and 144?
9
What is the greatest common divisor of 10 and 810?
10
Calculate the greatest common divisor of 117 and 9204.
39
What is the greatest common factor of 70 and 80?
10
Calculate the highest common factor of 76 and 80.
4
Calculate the greatest common factor of 69 and 23.
23
Calculate the highest common factor of 55 and 28050.
55
Calculate the highest common divisor of 275 and 325.
25
Calculate the highest common factor of 2 and 3006.
2
Calculate the greatest common factor of 221 and 143.
13
What is the greatest common divisor of 5710 and 50?
10
Calculate the greatest common factor of 248 and 217.
31
What is the highest common factor of 744 and 155?
31
What is the greatest common divisor of 66 and 12?
6
Calculate the highest common factor of 357 and 3723.
51
What is the highest common factor of 13620 and 20?
20
What is the greatest common factor of 2456 and 40?
8
Calculate the highest common divisor of 775 and 558.
31
Calculate the highest common factor of 140 and 168.
28
What is the highest common divisor of 55 and 605?
55
What is the greatest common divisor of 35787 and 474?
237
What is the highest common factor of 17 and 4114?
17
What is the highest common factor of 248 and 1674?
62
Calculate the greatest common factor of 86047 and 13.
13
Calculate the highest common factor of 12 and 567.
3
What is the highest common divisor of 6846 and 6?
6
What is the highest common factor of 92 and 46?
46
What is the greatest common divisor of 675 and 1080?
135
Calculate the highest common factor of 646 and 34.
34
What is the greatest common factor of 96 and 1968?
48
Calculate the greatest common factor of 4640 and 160.
160
What is the greatest common divisor of 384 and 276?
12
Calculate the highest common factor of 1660 and 83.
83
Calculate the greatest common divisor of 12 and 246.
6
Calculate the greatest common divisor of 357 and 153.
51
Calculate the greatest common divisor of 156 and 3562.
26
What is the greatest common factor of 15 and 14515?
5
Calculate the greatest common divisor of 425 and 1530.
85
Calculate the greatest common divisor of 120 and 8130.
30
What is the highest common divisor of 9856 and 77?
77
What is the highest common divisor of 390 and 20?
10
What is the greatest common factor of 3905 and 2130?
355
What is the greatest common divisor of 115 and 506?
23
Calculate the highest common divisor of 1694 and 4774.
154
What is the highest common divisor of 336 and 3984?
48
What is the highest common factor of 5 and 15305?
5
What is the greatest common factor of 819 and 525?
21
Calculate the highest common divisor of 2975 and 238.
119
Calculate the highest common divisor of 47 and 38681.
47
Calculate the highest common divisor of 5 and 3205.
5
Calculate the highest common factor of 4 and 300.
| {
"pile_set_name": "DM Mathematics"
} |
= w. Suppose 42*j + 272 = 59*j. What is the highest common divisor of w and j?
16
Let w(r) = 4*r**3 + 2*r**2 - 7*r + 3. Let p(c) = 3*c**2 - 6*c + 3. Let o be p(2). Let f be w(o). What is the greatest common divisor of 27 and f?
27
Suppose 55 - 5 = -5*x. Let z be (5/2)/((-5)/x). Let k be 2 + (-217)/(-28) - 2/(-8). Calculate the highest common factor of k and z.
5
Let f = -233 + 243. Calculate the highest common divisor of 55 and f.
5
Let y = 2 - -1. Suppose 4 - 19 = -y*x. Suppose -6*o + 5*o + x = 0. Calculate the greatest common factor of 45 and o.
5
Let g(z) = -9*z - 17. Let j be 8 - (0 + 2 + 2). Suppose 16 = -5*c + 3*u, j*c + u + 32 = -3*u. Let l be g(c). Calculate the greatest common factor of l and 14.
14
Suppose 4*h - 6 = h. Let f(l) = -8*l + 1. Let m be f(h). Let x be (-3)/m + 714/30. What is the highest common divisor of 6 and x?
6
Let i be 37*1*(30/5 + 43). Let q be (-4)/(-18) + i/63. What is the greatest common divisor of q and 29?
29
Suppose x = 4*y + 8, -3*y - 6 = 5*x - 2*x. Let a be 117/(1 - (0 - x)). What is the greatest common divisor of a and 39?
39
Let h be 86880/204 + 1 + 45/(-51). Calculate the greatest common factor of 71 and h.
71
Suppose 5*k = 3*c - 7*c + 18, c - 8 = -3*k. Let u be k + -3 + 4 + 54 + -13. What is the highest common factor of u and 4?
4
Let z = 71 + -30. Let o = -69 + z. Let u = -19 - o. What is the greatest common factor of u and 36?
9
Let l(g) = -101*g + 33. Let d be l(-3). What is the highest common divisor of d and 48?
48
Let s be ((-117)/(-156))/((-1)/(-128)). Calculate the greatest common divisor of 2208 and s.
96
Let g be 4 + 0 - (-5 - 6). Suppose g = -3*r - 2*r. Let c be (-87)/(-3) + r + 4. Calculate the highest common divisor of c and 20.
10
Let l = -40 + 63. Let r = l - -1. Let n be (-4)/(-14) - (-4020)/42. Calculate the greatest common factor of n and r.
24
Suppose g = 3*d + 26, d = 6*d - 2*g + 42. Let a be ((-98)/35)/(1/d). Calculate the highest common factor of 7 and a.
7
Let f(a) = a**2 - a - 54. Let p be f(8). Calculate the highest common divisor of p and 34.
2
Suppose w - 201 + 36 = 0. Suppose -w = -4*f - 7*f. What is the greatest common factor of 15 and f?
15
Suppose 3*v + v - 151 = -3*i, 3*v + 5*i - 116 = 0. Calculate the greatest common factor of v and 333.
37
Suppose 0 = h - 3*j + 6*j - 41, -15 = -5*j. Suppose 2*c = -2*c + h. What is the greatest common factor of c and 2?
2
Let y = 102 - 63. Suppose -2*o + 46 = 4*g - 20, 4*o + y = g. Calculate the highest common divisor of g and 133.
19
Suppose -7*w + 14 + 77 = 0. Suppose 0 = -w*a + 91 - 13. Calculate the highest common factor of a and 30.
6
Suppose -497 = -21*d + 20*d. Calculate the highest common factor of 71 and d.
71
Let n(l) = l**2 + 3. Let k be n(-3). Suppose 4*z + 2 - 84 = 2*r, -65 = -5*z - 5*r. What is the highest common divisor of k and z?
6
Suppose 0 = -2*h + 24 - 2. Let k = -8 + h. Suppose 5*z - 110 = 4*r, -z - 4*r + 13 = -k*r. What is the highest common divisor of z and 45?
9
Suppose -15 = 5*l, -305*k = -307*k - 2*l + 974. What is the greatest common divisor of 10 and k?
10
Suppose -3*o = 4*q - 46, -7 = 2*o + 3*q - 39. What is the highest common divisor of 830 and o?
10
Suppose q = -4*q + 630. Let z be 6/14 + 814/77 - (-4 - -1). Calculate the highest common factor of z and q.
14
Suppose -3*w = -0*w - 150. Let k = w + -47. Calculate the greatest common factor of 27 and k.
3
Suppose 5 = -x, -3*x = -n - 6*x - 1. Let m = -11 + n. Let a be m/9*13*15. What is the highest common divisor of a and 13?
13
Suppose -17*h - 15972 + 39891 = 0. Calculate the highest common divisor of 21 and h.
21
Suppose 40 + 28 = 3*o + 5*h, -2*h + 8 = 0. What is the highest common factor of o and 1?
1
Let z = 28 + 90. Suppose -175 = 113*l - z*l. What is the highest common divisor of l and 21?
7
Let s(j) = -j**2 + j. Let i(m) = 3*m**2 + 5*m - 12. Let b(z) = -i(z) - 6*s(z). Let t be b(5). Calculate the highest common factor of t and 24.
8
Let n = 744 + -654. What is the highest common divisor of n and 720?
90
Let z(o) = o**3 - 5*o**2 - 16*o + 10. Let b be z(7). Let v(q) = q**2 + 3*q + 3. Let g be v(b). What is the greatest common divisor of g and 1?
1
Let y be (-2)/10 + (-3)/(-15) - -40. What is the greatest common factor of 10 and y?
10
Suppose 3*b = -2*b + 10. Suppose -b*o + 18 = -144. What is the highest common factor of o and 9?
9
Let a be 486 + (2*(-4)/4 - 3). What is the greatest common factor of 37 and a?
37
Let a be (-87)/4*(-40)/60*2. Calculate the greatest common factor of a and 435.
29
Let i = 105 - 82. Let w(d) = 5*d**3 + 3*d**2 - 2*d + 3. Let u be w(3). Let y = -21 + u. Calculate the highest common factor of i and y.
23
Suppose 6*u = -a + 237, -6*u + 2*u + 159 = a. Calculate the greatest common factor of 182 and u.
13
Let u = -6 + 8. Suppose 52*x = 166 + 198. Calculate the highest common divisor of u and x.
1
Let g(q) = -4*q**2 + 14*q - 24. Let z be g(9). Let i = z + 318. Calculate the highest common divisor of 8 and i.
8
Let b(r) = r**3 + 16*r**2 + 14*r - 12. Let v be b(-15). Let p be (-3 - 44/(-12)) + 34/v. What is the highest common factor of p and 4?
4
Let h be 15/21 - 4/(-14). Let j(p) = 39*p**3 + 2*p - 1. Let r be j(h). Let g = -2147 + 2155. What is the greatest common factor of g and r?
8
Let z be (326/(-14) + 1)/((-2)/14). Calculate the greatest common divisor of 832 and z.
52
Suppose p = 2*s + 2*p - 251, 0 = -4*s - p + 499. What is the highest common divisor of 31 and s?
31
Suppose 31*c + 273 = 33*c - 3*t, 4*t - 252 = -2*c. What is the highest common factor of c and 627?
33
Let i = -10 + 25. What is the greatest common divisor of 30 and i?
15
Let y be (-144)/(-2)*3/6. Suppose 3*w - y = -0. What is the highest common divisor of 30 and w?
6
Suppose s + 4*i - 47 = 0, -3*i = -2*s + i + 118. Calculate the highest common factor of 110 and s.
55
Suppose -10 = -2*y - 3*l + 8, -2*y = 2*l - 14. Suppose -65 + 107 = y*w. What is the greatest common divisor of 28 and w?
14
Suppose 2*f = 4*f. Suppose f = -3*l - l + 48. Calculate the greatest common factor of l and 108.
12
Let g be (-5)/1*(-19 + 18). Calculate the greatest common factor of g and 250.
5
Suppose -d - 494 = -5*f + 234, 0 = -2*d - 6. Calculate the greatest common factor of f and 58.
29
Suppose 0 = 11*f - 15*f + 12. Calculate the greatest common factor of f and 5.
1
Let a(l) = l**3 - 21*l**2 - 20*l - 19. Let t be a(22). Let r be -167*(-2)/4*2. Let w = 317 - r. What is the greatest common factor of t and w?
25
Let g = 106 - 57. Calculate the highest common divisor of 14 and g.
7
Suppose 2*a + 110 = 4*d, 0 = 9*a - 4*a - 5. Suppose 0*w - d = -2*w. What is the greatest common factor of w and 126?
14
Let t(c) be the second derivative of c**4/2 - 4*c**3/3 + 7*c**2/2 + 27*c. Let a be t(2). Calculate the greatest common factor of a and 255.
15
Suppose -3477 = -19*x - 3078. Suppose 0 = -6*s + 4*s + 5*u + 383, 3*u - 186 = -s. What is the greatest common divisor of s and x?
21
Let n(o) = 40*o**2 + 21*o + 45. Let f be n(-5). Calculate the greatest common factor of 20 and f.
20
Let t = 30 + -11. Suppose 0*s = s + 1, 4*k = 3*s + t. Suppose -j + 9 = k. Calculate the highest common factor of j and 35.
5
Suppose -13*r - 134 = -c - 12*r, -5*r - 404 = -3*c. Calculate the highest common divisor of c and 28.
7
Suppose 4*t - 143 = 25. Let r(c) = 5*c**2 - c - 114. Let v be r(5). What is the highest common divisor of t and v?
6
Let v be (-1)/((-5)/(-30)) - -39. What is the highest common divisor of 3 and v?
3
Let i be -1 - (-30 - 1/1). Let q be 64/2*i/8. Suppose -n - 6*a = -2*a - 28, -4*n = 4*a - 100. Calculate the greatest common divisor of n and q.
24
Let n = -135 + 145. What is the highest common divisor of 2 and n?
2
Suppose b + 34*b - 735 = 0. What is the highest common factor of b and 1029?
21
Let j(h) = h**3 + 3*h**2 - 2*h + 12. Let m be j(-4). Suppose -5*y + 120 = m*o, 21 + 3 = y - 2*o. What is the highest common factor of y and 60?
12
Let d = -3 - -18. Suppose 2*j - d = -13*j. Calculate the highest common divisor of j and 11.
1
Suppose r = -j - 5, -25 = 2*r + 5*j - 0*j. Suppose 5*u - 18 - 122 = r. Suppose 1230 - 3190 = -28*o. What is the highest common factor of o and u?
14
Let c(y) be the second derivative of 25*y**4/12 + y**2/2 + 3*y. Let d be c(1). Let i be -4*(-2)/(-4) + d. What is the greatest co | {
"pile_set_name": "DM Mathematics"
} |
*4/(i**1*i*i*i)**(-23)*(i**0*i/i**(-9))**38 assuming i is positive.
i**(3312/7)
Simplify (((g*g**(3/5)*g)/g**37)/(g**(-36)/(g**(7/9)/g*g)))**24 assuming g is positive.
g**(856/15)
Simplify (n**(1/6)*n**20/n*n*n*(n*(n**(1/13)/n*n)/n)**(-37))**15 assuming n is positive.
n**(7145/26)
Simplify (g/(((g*g**0)/g*g)/g*g*g*g)*g/(g**(-7)/g))**(-1/10)*((g/g**(-1/15))/(g/(g*g**(-2/5))))/(g**(2/7))**(-14) assuming g is positive.
g**(119/30)
Simplify ((m**(3/13))**(1/71)*m/(m**(40/3)/m)*m/((m/m**(-9)*m)/m))**47 assuming m is positive.
m**(-2645818/2769)
Simplify ((f*f/(((f/(f**1/f))/f)/f*f))**26/((f*(f/(f*f/f**(-1/10)))/f*f*f)/f**(1/6)))/((f**(-1/3)/f)/f**(1/3))**(-27) assuming f is positive.
f**(94/15)
Simplify ((z**(-2/17)*z**(-2)/z)/(z**(4/5)/z**(-8)))/(z**(-11)/z*z*z/(z/(z*z*z*z**(-6)*z))*z)**(-2/27) assuming z is positive.
z**(-9797/765)
Simplify ((k*k**(1/3))**(-9))**(-1/3)/((k/(k/k**(-2/7))*k*(k**1*k)/k)/(k**(2/3)*k)**(-1/32)) assuming k is positive.
k**(1501/672)
Simplify t**(-1/17)/(t/t**(-8/3))*t**(-2/5)/t**(-15) assuming t is positive.
t**(2773/255)
Simplify (r**9/(r/r**(-4)))**(10/11)*(r/(r/(r/r**1)))**(-29)*r**(-1/4)/(r*r**(1/7)*r) assuming r is positive.
r**(383/308)
Simplify ((f*f**1)**(-1/28))**(6/29)*((f/f**(2/5)*f)**48)**(-6) assuming f is positive.
f**(-467727/1015)
Simplify ((x**5)**(-41)/(x**4*x**(6/13)))**(12/7) assuming x is positive.
x**(-4668/13)
Simplify (s**16/s**(1/30))/(s*s**(-3/32)/s*s**18/s*s) assuming s is positive.
s**(-931/480)
Simplify ((s/(s*s/s**(-9)*s)*s)**22*(s**(2/13))**(-12))**(-40) assuming s is positive.
s**(115360/13)
Simplify ((p/(p/((p/((p**35/p)/p)*p)/p*p))*p**(-1/4)*p*p)/((p**11*p)/p**(-2/7)))**(-3/4) assuming p is positive.
p**(3489/112)
Simplify ((b/b**(-1/11))/b**6*(b*b**5*b)/((b**(-1)/b)/b))**(1/30) assuming b is positive.
b**(28/165)
Simplify (((o*o**(-1)*o)/o)**(2/45))**2/((o**(-1/18)/o)/o*o*o*o/o**(-2/21))**(4/3) assuming o is positive.
o**(-262/189)
Simplify (((m*m*m/(m/m**(2/3)))**(-17/5))**(1/53))**32 assuming m is positive.
m**(-4352/795)
Simplify ((w/w**(-10))**(-8/5)/(w**(2/25)*w)**(8/9))**(-10) assuming w is positive.
w**(928/5)
Simplify l**(-2/27)/l*l/l**(9/7)*(l**(4/31))**12 assuming l is positive.
l**(1105/5859)
Simplify ((j**(1/6)/j**(1/2))/((j/j**(-2/9))/(j*(j/(j*j/(j**(-3)/j))*j)/j*j*j)))/((j**(2/3))**(-1/19))**(-4/27) assuming j is positive.
j**(-5480/1539)
Simplify (a**(-23)/(((a*a*a*a**(-2/31))/a)/a))/((a**(-38)*a)/(a*((a**(15/4)*a)/a)/a)) assuming a is positive.
a**(2085/124)
Simplify ((q/(q**(-5)*q*q*q))/q*q/q**(-7))/((q/(q*q**(-1/4)/q))/q)**(-31)*((q**(-7)*q)/(q*q**(-1/13)))/(q**(-6)/(q*q**0)) assuming q is positive.
q**(927/52)
Simplify ((j**(-3)*j)/j*j*j**(-2/5)*j)/(j**(-2/9))**(2/17)*(j/(j**6*j)*j**(-1)*j)/(j**(1/4)*j*(j**(-1/2)/j)/j*j) assuming j is positive.
j**(-21799/3060)
Simplify ((c**(-1/11)*c*c)/(c**(-1/3)/c*c))**(2/107)/((c/(c*c**(1/11))*c)/(c*c**6))**(-2/89) assuming c is positive.
c**(-29842/314259)
Simplify (b**(2/15)*b*b**(-8)*(b/(b/(b**(2/15)/b)))**12)**27 assuming b is positive.
b**(-2331/5)
Simplify ((k/(k/k**9))/k*(((k**1/k)/k*k)/k)/k*(k**(-1/5)/k)**(-50))**(-20) assuming k is positive.
k**(-1320)
Simplify ((r**(-2/19))**(-13)*(r/(((r*r**5/r*r*r)/r)/r))**(-29))**44 assuming r is positive.
r**(98120/19)
Simplify (n*n*n*n*n**(-2/9)*n)/(n*n**(-3/2))*n/(n**(-1/2)*n)*n**5*(n/n**1)**(22/5)/(n**4/n**(-5/4)) assuming n is positive.
n**(199/36)
Simplify (b/(b/b**21)*b*b*(b/(b*b*b**(-12)*b))/b)/(b/((b/(b*b**(-42)))/b*b)*b**(-3/4)*b) assuming b is positive.
b**(291/4)
Simplify (c**21/(c**28*c)*(c**(-3/4))**17)**8 assuming c is positive.
c**(-166)
Simplify (d**(-1/2))**(-4)*((d*d/((d**(1/2)/d)/d))/d)**9*(d**(-1/2)*d)**(2/13)*(d**0/d*d)/d*d*d**(-2/3)*d assuming d is positive.
d**(1943/78)
Simplify ((a**(-3))**36*a**(7/5)/(a*(a/(a/a**(1/30)))/a))**(2/7) assuming a is positive.
a**(-457/15)
Simplify ((q*q*q/(q**(-13)/q))**38*(q**(-4/7)/q*q)**33)**(14/3) assuming q is positive.
q**(8780/3)
Simplify (v*v**(2/7))**28/(v/(v*v*v*(v/v**(-3))/v*v)*v*v**(2/11)*v*v)*((v/v**(2/9))**(-4/15))**44 assuming v is positive.
v**(44093/1485)
Simplify ((d**24*d)**(1/40)/((((d*d*d**(11/4)*d)/d)/d)/d*d**(-2/17)))**(-25) assuming d is positive.
d**(6825/136)
Simplify (l**15/l*l)/l**(-18)*(l/(l/(l**7/l)*l*l*l))/((l/l**11)/l) assuming l is positive.
l**47
Simplify ((w*w**(-2/7))**37)**(-2/53)*((w**0)**(-21/4))**(6/7) assuming w is positive.
w**(-370/371)
Simplify (l/(l**(2/7)*l*l))/l**(-1/7)*l*l**0*((l/l**3)/l)/l*(l**1)**(40/7)/(l/(l*l**(-1)*l))**(15/11) assuming l is positive.
l**(11/7)
Simplify ((n*n/n**(-15/7))/n*n**17*n*n*n)/((n/n**(-2/37))/(((n/n**(5/3))/n)/n*n)) assuming n is positive.
n**(15868/777)
Simplify (a**(-1/4))**(2/11)/(a/(a*a**0))**(-32)*(a*(a/a**(-1))/a*a/a**(-4))/(a/((a/a**4)/a)*a/(a*a/((((a**2/a)/a)/a)/a))) assuming a is positive.
a**(109/22)
Simplify ((a*a/(a*a**(2/13)))**(2/69)/(a**(2/21))**(-35))**33 assuming a is positive.
a**(33132/299)
Simplify ((v**(2/21))**(-16)/((v/(v/v**(-8/9)))/v**20))**1 assuming v is positive.
v**(1220/63)
Simplify f*f**(12/13)*(f**19*f*f)/f*f**(-30)*f*f**(2/59) assuming f is positive.
f**(-5402/767)
Simplify (k**3/k*k**(3/8)*(k/(k**(-2/7)*k))/(k/k**2))/((((k**2/k)/k)/k)**(-6/7))**(-37) assuming k is positive.
k**(283/8)
Simplify (((m/(m/(m/m**(-1))))/m)/m)/(m*m**(5/6))*(m**(-2/9))**(-32)*((m*m*m**(-2/7)*m)/m)/(m*m*m**4/m)*m*m*m**(-6/5)*m**(-1)*m*m assuming m is positive.
m**(2389/630)
Simplify y/y**(-5)*y/y**(2/19)*(y/y**(-6))/y**3*((((y*y**(1/3))/y*y)/y*y)/y*y*y)/y*y**(-1/7)*y/(y/(y**(-5)*y))*y**(-3) assuming y is positive.
y**(2029/399)
Simplify ((((w/(w/(w*w/(w/((((w*w**(-2/107))/w*w)/w)/w))))*w*w*w)/w**(3/2))**21)**49)**8 assuming w is positive.
w**(1304772/107)
Simplify ((f*f**(2/3)*f)**30/(f**(-3)*f*f**(1/2)))/((f/f**1)**(-40)*f**(-1/3)/((f*((f*f**(1/5)/f)/f)/f)/f)) assuming f is positive.
f**(2401/30)
Simplify (s*s**(3/23)*s*s**(1/12))/(s/(s/s**20))**(-23) assuming s is positive.
s**(127571/276)
Simplify ((((h**(-1/4)/h)/h*h*h**3)/(h**8*h*h**(-10)))**(-6/29))**(1/2) assuming h is positive.
h**(-33/116)
Simplify ((u**(-1/40)*u*u**(-5/2))/((u*(u*u/u**39)/u*u)/(u*u/(u*u**30*u*u)*u*u)))**(-2/9) assuming u is positive.
u**(-73/60)
Simplify ((s*(s**(-2)/s)/s)/(s*(s/((s/((s/s**(-8))/s))/s)*s)/s*s))/(s*s/s**(-2)*s)**(-43)*((s/s**(-1))/s)**(-34)*(s**(-2))**(-15/4) assuming s is positive.
s**(349/2)
Simplify ((r/(r/(r/(r/r**(-1)*r)*r))*r*r)**(5/13))**(8/11)*(r**(2/7)*r*r*r*r*r/(r*r**(-2/3))*r)**(-12) assuming r is positive.
r**(-71220/1001)
Simplify (((h**(1/82)/h)/h*h*h*h)/h)/((h**19/h*h)/h)*(h*h/h**42*h*h*h)/(h/h**(1/6)) assuming h is positive.
h**(-6866/123)
Simplify ((o**(-15/8)*o*o**4*o)/(o*o/((o*o*o/(o/((o*o**(-1/39)/o)/o))*o)/o)*o/(o*o**(-1/42))))**(1/82) assuming o is positive.
o**(2239/59696)
Simplify (((c*c**(1/2)/c*c**(1/8))**37)**46)**(-21) assuming c is positive.
c**(-89355/4)
Simplify ((r*r**(2/43))/(r/r**(3/8))*(r*r**(-9/4))/r**(-10))**19 assuming r is positive.
r**(59945/344)
Simplify (g/(g*g**(2/29)*g)*g**(-5))**(12/7)*(g/g**4*g**6)**(-9/2) assuming g is positive.
g**(-9705/406)
Simplify (v**(-3/8)*v**5)/(((v/v**4)/v)/(v**(5/6)*v))*(v*v**(-3)*v*v**(1/2)*v)/(((v**(-9)/v)/v*v)/(v/v**(2/9))) assuming v is positive.
v**(1565/72)
Simplify (l**(-6)/(l**(3/8)*l*l))/(l**(-6)*(l**2*l)/l*l)*l**(1/4)*l**(1/3)*l*l**(-2/19)/l*l*l**(-1/2) assuming l is positive.
l**(-2005/456)
Simplify (((c**(1/23)/c*c)/(c*c*c*c/(c*c/(c*c/(c/((c/(c*c*c**(-15)*c*c*c*c))/c)*c)*c)*c)))/(c*(c/c**(-1/5))/c*c)**(2/39))**(-12/13) assuming c is positive.
c**(198584/19435)
Simplify (((a**(-1)*a)/(((a/a**12)/a)/a)*a**(-1/13)/a**(-7))**(-33))**24 assuming a is positive.
a**(-205128/13)
Simplify (((z*z*z**(2/11)*z)/z)/z**(-2/13)*z**(-3/29)/(z*z**(-28)))**(-19/4) assuming z is positive.
z**(-1151647/8294)
Simplify ((((s*s**(1/6)/s)/s**0)**(-2/67))**(-6/5))**(-42) assuming s is positive.
s**(-84/335)
Simplify ((h**(2/3)*h)/(h/(h*h/h**(-2)*h)*h))**(-38)*(h/((h/h**(-3)*h)/h)*h**(-2/7))**2 assuming h is positive.
h**(-3862/21)
Simplify o*o**(1/5)*o/o**(1/4)*((o/o**1)/o*o*o)/o*(o/o**1*o)/o*o**5/(o**(-3/7)/o)*(o/(o/(o/(((o*o*o**(1/2))/o)/o))*o))**(-20) assuming o is positive.
o**(2573/140)
Simplify ((s**(-2)*s)**(-5/2)/((s/s**(1/2)*s)/((s*s*s/(s/(s/s**(-5))))/s)))**(20/9) assuming s | {
"pile_set_name": "DM Mathematics"
} |
149973 composite?
True
Is 245171 a composite number?
False
Is 6110179 a prime number?
True
Is 102548647 composite?
True
Is 11427131 a composite number?
True
Is 4823257 composite?
True
Is 183142187 composite?
True
Is 116759273 a composite number?
False
Is 1693543459 a composite number?
False
Is 636923 a prime number?
False
Is 5451473 composite?
False
Is 43457699 a prime number?
False
Is 620230895 a prime number?
False
Is 710093 a composite number?
True
Is 568786819 a prime number?
True
Is 5278223 a prime number?
True
Is 8050241 prime?
True
Is 798869 a composite number?
True
Is 13996993 composite?
False
Is 308125613 a composite number?
False
Is 447595727 a composite number?
True
Is 14863091 composite?
True
Is 9384626 composite?
True
Is 4106677 a composite number?
False
Is 10346173 a prime number?
False
Is 77476913 a composite number?
False
Is 32237627 prime?
False
Is 4050701 prime?
True
Is 11436209 composite?
False
Is 498235469 a prime number?
True
Is 40542041 prime?
True
Is 1289111 composite?
False
Is 11297329 a composite number?
True
Is 8532109 composite?
True
Is 111196451 a composite number?
False
Is 105551206 prime?
False
Is 394151 a prime number?
False
Is 84549251 a prime number?
False
Is 134929337 composite?
True
Is 579724289 composite?
False
Is 4666777 a prime number?
True
Is 139379171 a prime number?
True
Is 54158957 a composite number?
True
Is 8348222 a prime number?
False
Is 6450467 composite?
False
Is 18585309 composite?
True
Is 1153801 a prime number?
False
Is 305533177 a composite number?
False
Is 263843843 a prime number?
True
Is 12279779 a composite number?
False
Is 471742147 prime?
True
Is 27697603 a composite number?
False
Is 281339 a composite number?
False
Is 12044287 a composite number?
True
Is 13933483 prime?
True
Is 21639647 a prime number?
True
Is 1359803 a composite number?
False
Is 11655469 prime?
False
Is 286177 a prime number?
False
Is 43115239 composite?
True
Is 50465339 a composite number?
True
Is 4124114 prime?
False
Is 2207297 a composite number?
True
Is 55936151 prime?
True
Is 91206491 composite?
False
Is 30958097 prime?
True
Is 27727837 a prime number?
False
Is 2537453 prime?
False
Is 27198265 a prime number?
False
Is 16909 a prime number?
False
Is 48832753 composite?
False
Is 248108277 a prime number?
False
Is 73891033 a prime number?
True
Is 13751671 prime?
False
Is 1041265 a prime number?
False
Is 974707 a composite number?
False
Is 1729979 a composite number?
True
Is 75186341 prime?
True
Is 307120789 composite?
False
Is 1215329 prime?
True
Is 2819069 composite?
True
Is 4458007 prime?
False
Is 3538735 prime?
False
Is 364633079 prime?
False
Is 81941771 a prime number?
True
Is 191982041 a composite number?
False
Is 11270401 composite?
True
Is 4080994 composite?
True
Is 44908991 prime?
False
Is 66328393 a prime number?
False
Is 42852409 a composite number?
False
Is 2534871 composite?
True
Is 114572201 a composite number?
False
Is 5978737 composite?
False
Is 9746687 prime?
False
Is 3776631 a prime number?
False
Is 4145419 prime?
True
Is 8975753 prime?
True
Is 274723 a prime number?
True
Is 1006283 composite?
True
Is 1043249 composite?
True
Is 3185243 composite?
False
Is 5255407 a prime number?
True
Is 25951847 prime?
False
Is 41050183 composite?
False
Is 6158923 a composite number?
False
Is 151201 a composite number?
False
Is 240012623 prime?
False
Is 30998483 a composite number?
False
Is 549959 a prime number?
False
Is 118955717 a composite number?
False
Is 540343 prime?
True
Is 1014098 composite?
True
Is 25172486 prime?
False
Is 75795466 a composite number?
True
Is 6219049 a prime number?
True
Is 3277763 a composite number?
False
Is 1860107 a composite number?
True
Is 828254077 prime?
False
Is 2401889 a prime number?
False
Is 290401 a composite number?
True
Is 3212203 a prime number?
False
Is 3412811 composite?
True
Is 3681259 a composite number?
True
Is 7363403 composite?
False
Is 13594219 composite?
True
Is 35194697 composite?
False
Is 41586781 a prime number?
False
Is 6031837 a prime number?
False
Is 6997343 a composite number?
False
Is 308047921 a prime number?
False
Is 2133506 a prime number?
False
Is 3951719 composite?
False
Is 132897551 a prime number?
False
Is 14788211 a composite number?
False
Is 165697829 prime?
False
Is 1407443 a prime number?
False
Is 116005489 prime?
True
Is 63809861 prime?
True
Is 105725173 prime?
False
Is 293844829 a prime number?
True
Is 372321019 a composite number?
True
Is 14493 composite?
True
Is 11859817 composite?
False
Is 334903 prime?
False
Is 45459221 a composite number?
False
Is 421077689 a prime number?
True
Is 3173069 a composite number?
False
Is 771319 composite?
True
Is 701928023 prime?
True
Is 27902293 composite?
False
Is 41008234 prime?
False
Is 188038213 a composite number?
True
Is 23716673 a prime number?
True
Is 151408963 composite?
False
Is 103728607 prime?
True
Is 842953 a prime number?
False
Is 1100543 a prime number?
True
Is 6257089 prime?
True
Is 584083 a composite number?
True
Is 52015211 composite?
False
Is 2533651 prime?
True
Is 37406659 composite?
False
Is 1077431633 prime?
True
Is 2279311 prime?
False
Is 68036039 composite?
True
Is 25980359 a prime number?
True
Is 4720477 prime?
True
Is 6276607 a prime number?
True
Is 56044591 a prime number?
True
Is 6401983 a prime number?
False
Is 170699129 a prime number?
True
Is 28402097 prime?
True
Is 29809453 composite?
False
Is 2154797 prime?
False
Is 135214007 composite?
True
Is 2392657 a prime number?
False
Is 54949795 composite?
True
Is 9353667 composite?
True
Is 9661637 a prime number?
True
Is 1985407 a composite number?
False
Is 234673 a prime number?
True
Is 6279619 a prime number?
True
Is 1456309 a composite number?
True
Is 31550149 composite?
False
Is 2990423 a prime number?
True
Is 151603013 a composite number?
False
Is 1764713 composite?
True
Is 498643 a composite number?
False
Is 433991582 composite?
True
Is 13482901 a prime number?
False
Is 72265313 composite?
True
Is 34868929 prime?
True
Is 33940867 prime?
True
Is 97499 a prime number?
True
Is 1652237 composite?
False
Is 177141157 prime?
True
Is 594343 composite?
True
Is 3987689 a prime number?
False
Is 27505091 composite?
True
Is 38446379 a prime number?
True
Is 6592129 a composite number?
True
Is 525209 prime?
True
Is 57569737 a composite number?
False
Is 528469 a composite number?
False
Is 5286293 prime?
True
Is 35437301 prime?
False
Is 2179097 composite?
False
Is 20227817 prime?
True
Is 66527927 a composite number?
False
Is 533111 prime?
True
Is 5652649 prime?
True
Is 97461077 a prime number?
False
Is 639740531 composite?
False
Is 4812697 a composite number?
True
Is 2244779 composite?
False
Is 16812469 a composite number?
False
Is 59075035 composite?
True
Is 7635413 a composite number?
True
Is 286326151 a prime number?
True
Is 65552037 a prime number?
False
Is 51431 a composite number?
False
Is 33858205 composite?
True
Is 221047 a prime number?
True
Is 5525413 composite?
True
Is 543748379 composite?
False
Is 37691795 a composite number?
True
Is 31266943 composite?
False
Is 188427961 a composite number?
False
Is 12498947 a composite number?
True
Is 55844407 a prime number?
True
Is 25572451 prime?
True
Is 28101509 a prime number?
True
Is 7212599 prime?
True
Is 275651 prime?
True
Is 5206517 composite?
True
Is 4904197 prime?
True
Is 31704679 a prime number?
True
Is 23858771 a composite number?
False
Is 25985143 a prime number?
False
Is 32797031 a prime number?
False
Is 121803503 composite?
True
Is 21142259 prime?
True
Is 306076919 prime?
False
Is 323831 prime?
False
Is 1620943 composite?
True
Is 20441611 prime?
True
Is 872533 prime?
True
Is 1938301 a prime number?
True
Is 2433799 a composite number?
True
Is 4814503 a composite number?
False
Is 305999 a composite number?
False
Is 3901511 a composite number?
False
Is 228274489 composite?
False
Is 14319829 prime?
True
Is 47876291 prime?
False
Is 4167257 a prime number?
True
Is 321443 prime?
True
Is 1779283 a prime number?
False
Is 81390241 prime?
False
Is 25209397 prime?
False
Is 63991559 a composite number?
False
Is 1467517 prime?
False
Is 1821749 a composite number?
False
Is 157911653 a composite number?
True
Is 44669017 composite?
True
Is 2859019 a composite number?
False
Is 363156491 prime?
Tr | {
"pile_set_name": "DM Mathematics"
} |
ommon multiple of r(-15) and 632.
632
Find the common denominator of (-8)/1962*(-16)/((-96)/207) and -101/12.
1308
Let p(x) = x**3 - 2*x**2 - 6*x + 6. Let t be p(4). Let a = t - 9. Suppose z + 12 = 3*j + 2*z, -15 = -a*z. Calculate the least common multiple of j and 16.
48
Let k = 6176 + -61677/10. Suppose 0 = -2*y + 24 + 12. What is the common denominator of k and (y/(-28))/((-72)/21)?
80
What is the common denominator of -39/22 and (-3 - (-2 - 4)) + 610/(-280)?
308
Let n(h) = -7*h + 2. Let k = 6817 + -6815. Calculate the least common multiple of k and n(-4).
30
Let g = -5145/286 + 264/13. Let h = -229649/19752 + 4/2469. Calculate the common denominator of h and g.
88
Suppose 5*v + 117 - 227 = 0. Calculate the least common multiple of v and 304.
3344
Let n be (0 + 2)/(22/77). Let m = -40 - -53/2. Find the common denominator of 2 + n*39/18 and m.
6
Suppose -2*i + 10*i = 0. Suppose v = 5*q - i - 36, 3*q - 2*v - 23 = 0. Calculate the least common multiple of q and 2.
14
Calculate the common denominator of (-943)/720 - 5/90*-4 and 17/50.
400
Suppose 44 = -u - 2*t + 282, 0 = -3*u + 3*t + 759. Calculate the smallest common multiple of u and 20.
1240
Suppose -54 = 5*a - 4*z, -a + 4*z + 6 = -2*a. Let q = a + 17. What is the lowest common multiple of -1 + q + 12/(-3) and 18?
18
Let z(n) = 12*n**2 - 2*n - 1. Suppose -114*i + 131*i - 51 = 0. Calculate the lowest common multiple of i and z(-2).
51
Suppose 32*l - 37*l = -i - 958, -2*l = -i - 382. Calculate the lowest common multiple of 112 and l.
1344
Calculate the smallest common multiple of (-448)/(-20) + (-2)/5 and -1*5 + (-13 - -28).
110
Suppose -2*r + 42 = -10. Let d = r + -20. Calculate the least common multiple of 6 and d.
6
Suppose 0 = 2*x + 4*v - 18, 7*v = 2*v - 10. Calculate the smallest common multiple of 260 and x.
260
Let l = -600 + 614. Calculate the least common multiple of l and 18/(-4)*(-16)/6.
84
Let p(w) = -w**3 - 5*w**2 - 5*w - 7. Let z be p(-3). Find the common denominator of 12/11 and 12/(-90)*z + (4 - 1).
33
Let m be -6*((-4)/12)/(-1). Let l = m + 7. Suppose 0 = l*b - 2*b - 21. What is the least common multiple of 8 and b?
56
Let s = -6 - -8. Let z = -191 - -195. Calculate the least common multiple of z and s.
4
Suppose 3*r + 4*f + 144 = 0, -2*r + 6*r = f - 173. Let o = -6 + 20. Calculate the common denominator of (-8)/r - o/(-4) and 17/14.
154
Suppose 3*n = -15, -424 - 366 = -2*i - 4*n. Calculate the lowest common multiple of i and 50.
4050
Suppose 0 = k - 4*k + 42. Suppose 15*w = 3*w - 276. Let q = 47 + w. What is the smallest common multiple of k and q?
168
Let u = -7944/5 + 1594. Calculate the common denominator of 73/6 and u.
30
Let m = 11 - 8. Suppose 4*k = m*k. Find the common denominator of -15/14 and (-3 - k)*(-118)/(-108).
126
Suppose 2*b + 5*a = -37 - 21, -a + 72 = -4*b. Suppose -60 = -0*l - 5*l. What is the common denominator of -13/22 and (15/l)/((-8)/b)?
352
Let f(a) = a**2 + 16*a - 17. Let k be f(-19). Let x = -24 + 97/4. Find the common denominator of 86/k*(-8)/12 and x.
60
Find the common denominator of ((-219)/(-94))/(-103 + 106) and -57/235.
470
Let f = 15/2102 - 68908/9459. Let k = 21093/4910 - -2/491. What is the common denominator of k and f?
90
Let v = 906 + -842. What is the least common multiple of v and 152?
1216
Suppose -2*h = 5*p - 128, 4*h - 25 = -p - 3. Calculate the lowest common multiple of p and 6.
78
Suppose -16*o + 14*o + 7724 = 0. Let k = 54141/14 - o. Calculate the common denominator of -47/46 and k.
322
Let r be (1 - 6)*2/(-10). Let w(o) = 3*o**3 + o**2 - 1. Let t be w(r). Calculate the common denominator of -93/20 and (-58)/(-44) - (-6)/t.
220
Suppose 2 = l, 4*l - l = 2*k - 42. Suppose 48 + k = 2*i. Find the common denominator of -10/11 and i.
11
Let k = 2965/312 + -5/39. Let f = -194345/18 - -10802. Calculate the common denominator of f and k.
72
Let q = -29375/12 + 2455. Let n = 23841/307501 + 5730329117/6686301744. Let x = 4/1359 + n. Find the common denominator of x and q.
48
Let v = -1043809/100 + 10438. Calculate the common denominator of v and 2175/300 + 2/4*-1.
100
Suppose 2*c = -0*c + 10. Let o be (-20)/6 + (-128)/(-96). What is the lowest common multiple of c and (-4)/(-16)*(-6 - o) + 3?
10
Suppose -5*h + 184 = 164, -3*u + 1524 = 3*h. Calculate the smallest common multiple of 28 and u.
504
Let p = -30057/72848 - 3/2512. Calculate the common denominator of 3/((-18)/(-88)) - (83 + -90) and p.
87
Calculate the lowest common multiple of 16 and (-7 - -5 - 1) + 41.
304
Let g = 405 + -393. Suppose 3*t + 2*j = -2*j + 22, -2*j - 44 = -4*t. What is the lowest common multiple of t and g?
60
Suppose 2*z = -4*y + 12, -3*y = -2*z + 2*y + 30. Calculate the least common multiple of z and 2.
10
Let r be 2 - ((-18)/(-12))/((-9)/(-1227)). Let x = r + 194. Calculate the common denominator of x and 0 + (-1)/((-14)/(-117)).
14
Suppose -4*u + 352 = 5*s, -4*s + 142 + 154 = -4*u. Let r(a) = -2*a + 10. Calculate the lowest common multiple of s and r(-6).
792
Let w(g) = g**2 + 11*g + 13. Let y be w(-10). Suppose 0*q = y*q - 21. Calculate the smallest common multiple of 22 and 40/q - (-6)/21.
66
Let t = 3415/2 - 1742. Find the common denominator of t and ((-27651)/270)/13 - 20/50.
18
Let m = -21135/11 - -1923. Let a = -31 + 33. What is the common denominator of m and 6/9 - (a - 1)?
33
Suppose g + 2*g - 12 = 0. Let m(x) = -2*x**3 - 65*x**2 + 28*x - 59. What is the lowest common multiple of m(-33) and g?
212
Let w = -44 + 46. Suppose 2*p - w*v + 5 = p, 3*p = -v + 6. What is the least common multiple of 13 and p?
13
Let q = -50677/10952 + 3/1369. Find the common denominator of q and 1/238.
952
Let b(u) = u**3 + 50. Let j be b(0). Let m be 2/(-6) - (-13)/3. Suppose r - j = -m*r. Calculate the smallest common multiple of r and 8.
40
Let i(l) = -3*l**2 + 2*l + 6. Let f be i(6). Let b be (26/12)/(-13)*530. Let o = b - f. Find the common denominator of -9/2 and o.
6
Let b = -170479/223722 - -72/1381. What is the common denominator of -19/18 and b?
162
Let f = -5903 + 3276. Let i = f - -15805/6. Suppose -4*n - 4*l - 44 = -0*l, 5*n = 5*l - 5. Calculate the common denominator of n and i.
6
Calculate the common denominator of (6/(-216))/(5/28) and -103/50.
450
Let o = -41 - -65. Let k(b) = -9*b + 8. What is the lowest common multiple of o and k(0)?
24
Let n(c) be the first derivative of -5 + 1 + 0 + 2*c**2. What is the smallest common multiple of n(2) and 11?
88
Let i(p) be the second derivative of -p**5/20 - 13*p**4/12 + 29*p**3/6 + 13*p**2/2 - 16*p. Calculate the least common multiple of 28 and i(-15).
28
Let x(b) = -74*b - 421. Calculate the smallest common multiple of x(-6) and 6.
138
Suppose -5*s - 4*c + 5*c + 425 = 0, s - 85 = -2*c. Calculate the common denominator of ((-18)/(-4))/(55/45) and 5/s*(-1)/(-2).
374
Let p be 4 + -1 - (-137760)/(-45836). Let k = 77137/36014 + p. Calculate the common denominator of k and -105/104.
1144
Let o = -10 - -12. Let r(f) = 43*f - 43*f + 18*f**o. What is the least common multiple of 16 and r(1)?
144
Suppose q - 36 = -2*q. Suppose -q = -4*l - 4*a + 4, -5*l + 4*a + 20 = 0. What is the lowest common multiple of 14 and l?
28
Let i be -8*(-15 + ((-12)/4)/3). Calculate the least common multiple of ((-4)/8)/((-2)/i) and 8.
32
Suppose -22 - 197 = -3*y. Suppose 5*a - y - 37 = 0. Calculate the lowest common multiple of 78 and a.
858
Suppose u - 10 = -u. Suppose -2*l - 6042 = -u*g + l, 0 = l + 4. What is the common denominator of g/120*2/(-3) and 109/18?
90
Let v(g) = 5 - 24*g + 54 - 18*g**2 + 17*g**2. Calculate the smallest common multiple of v(-26) and 14.
14
Let k = -918/7 - -885/7. Find the common denominator of -47*2/((-5)/((-35)/98)) and k.
7
Let i = -225 + 330. What is the smallest common multiple of 195 and i?
1365
Let d(r) = r**2 + 1. Let y(n) = -2*n**2 - 15*n + 1. Let u(l) = -3*d(l) - y(l). Let o = 21 + -13. Calculate the least common multiple of o and u(13).
88
Calculate the smallest common multiple of 102/255 + (-69)/(-15) and 3.
15
Let f = 642 - 647. Suppose -u + 84 = y, -5*u + 424 = 5*y - 2*u. Calculate the common denominator of 49/2 and (f - -2) + y/36.
18
Let g(d) = d**2 + 11*d + 12. Let x be g(-7). Suppose 2*u - 4*y = y - 161, -2*y = 6. Find the common denominator of (6/(-2))/(u/x) and 83/6.
66
Let z(c) = 19*c**3 - c**2 - 2 | {
"pile_set_name": "DM Mathematics"
} |
3/(-2)*600/36. Let g = 25 + c. Let k(n) = 0 + 7 - 7*n + g - 2*n**2 - 13. Calculate k(-4).
-10
Let s = 53 + -50. Let n(y) = y. Let m(f) = 6 - f - f - 5. Let x(q) = s*n(q) - m(q). What is x(-1)?
-6
Let f = -704 + 704. Let w(d) be the second derivative of -3*d + 1/6*d**3 + 0 - 7/2*d**2 - 1/12*d**4. What is w(f)?
-7
Let k(j) = -30*j + 29. Let r(w) = 74*w - 57. Let i(a) = 5*k(a) + 2*r(a). Determine i(13).
5
Let s = -48 + 49. Let o(m) = -23*m - 89*m + 3 + 113*m. Calculate o(s).
4
Let i(g) = 18*g**3 + 2*g**2 + 8*g - 9. Let a = 6507 + -6506. Determine i(a).
19
Let p be (-2)/(-7) - 6/21. Suppose -41 = 37*r - 152. Suppose 0*h + p*h = -r*h. Let s(z) = z + 4. What is s(h)?
4
Suppose -3*s + 13 = 10. Let g(x) = -s + 78*x - 81*x - 2. Give g(4).
-15
Let y(x) = -2 + 522764*x + 5 - 522771*x + 2 + x**2. Determine y(1).
-1
Suppose -5*m = -63*y + 67*y - 57, -5*y + 66 = m. Let h(w) = w - 3. Determine h(y).
10
Let o = 14922 + -14922. Let f(i) = 44*i - 1. Give f(o).
-1
Let g = -6 - -11. Let b(o) = -21*o**2 - 2*o - 23. Let k(h) = -16*h**2 - 19. Let u(f) = -3*b(f) + 4*k(f). Determine u(g).
-2
Let l(x) = x**2 + 18*x + 4. Suppose 6*q = -112 + 4. Let b be l(q). Let t(y) = -343*y**2 + 330*y**2 - 4*y + b*y. Calculate t(1).
-13
Let k(s) = -s**3 - 4*s**2 - 5. Let a(l) = -7*l - 60. Suppose 33 = -4*g + 1. Let v be a(g). Calculate k(v).
-5
Let y = -16 - 0. Let h = y + 19. Let z(o) = -4*o**2 + 3*o + 4. Let a(r) = 3*r**2 - 3*r - 4. Let u(g) = 3*a(g) + 2*z(g). What is u(h)?
-4
Suppose 64 = -25*t + 17*t. Let p be (t/(-24))/(-4 + 295/75). Let a(n) = -n**3 - 4*n**2 + 5*n - 5. What is a(p)?
-5
Let q(r) = 12*r**2 + 8*r - 7. Let h(a) = 17*a**2 + 11*a - 10. Let g(c) = 5*h(c) - 7*q(c). Let t(y) = -y + 3. Let z(o) = g(o) + t(o). Give z(-5).
37
Let y(o) = o**2 + 8*o + 1. Suppose 3*g + 75 = 1752. Let t be (-108)/26 - (-86)/g. Calculate y(t).
-15
Let y(t) be the third derivative of -7*t**6/60 - t**5/30 + t**4/24 + t**3/2 + 22*t**2. Let p be y(-1). Let r(a) = 16 + p*a - 7 - 15*a. Calculate r(7).
2
Suppose -17 + 5 = -3*l. Let t = l + -5. Let v(b) = b**2 - b + 22. Let q(w) = -7*w**2 - 7*w + 132. Let h(s) = -q(s) + 6*v(s). Determine h(t).
12
Let z = 4942 + -4943. Let b(a) = -6*a - 4. Let r(k) = -17*k - 11. Let s(l) = 8*b(l) - 3*r(l). Give s(z).
-2
Let y be -9 + (-252)/(-27) + (-20)/(-3). Let g(q) be the second derivative of -q**4/12 + 7*q**3/6 + q**2/2 + 49*q. Calculate g(y).
1
Let q(c) = -2*c**2 + c. Let i(h) = 13*h**2 - 7*h - 20. Let v(m) = -i(m) - 6*q(m). Give v(-6).
-22
Let b(o) = 7*o**3 + 12*o**2 + 7*o + 9. Let s = -733 - -728. Let x(k) = 11*k**3 + 10*k + 6 + 18*k**2 + 11 - 3. Let c(n) = s*x(n) + 8*b(n). Determine c(-4).
10
Let o = 1983 - 1975. Let q(w) = -8*w + 64. Give q(o).
0
Let r(z) = 3*z - 9. Suppose 4*q - q - a - 2 = 0, -q - 5*a - 26 = 0. Let f(k) = -68*k - 4. Let u be f(q). Let h = -57 + u. Give r(h).
12
Suppose -2*o + 29*j = 31*j - 26, -5*j = 3*o - 47. Let y(p) = -p**2 + 10*p - 14. Calculate y(o).
-5
Suppose -3*g - 15 = 0, r + g + 8 = -24. Let s be (-2*1)/(3/(r/6)). Let f(j) = 7*j**2 - 7*j + 4 + 1 - 5 - j**s - 2. Give f(6).
-8
Let h(m) = 12*m + 2 - 2*m - 19*m. Let r(l) = 3*l**2 + 5*l + 3. Let c be r(-1). Calculate h(c).
-7
Let w(r) = 183*r**2 + 179*r**2 + 18*r + 182*r**2 - 15 - 11 - 546*r**2. Determine w(6).
10
Let a(m) = m**2 - 4*m + 3 - 5*m**2 + m**2. Suppose 4*c + 5*d = 18, -c + 10 = -120*d + 124*d. Determine a(c).
-17
Let p = -16705 - -16703. Let y(u) = -16*u**3 + 3. What is y(p)?
131
Let i(c) = 4*c**3 - c - 2. Let k(n) = -n**3 - n**2 - n - 2. Let l be k(-2). Suppose 0*p - l*t = 5*p - 14, 2 = 2*t. Calculate i(p).
28
Let f be ((-1)/6*198/(-1320))/3. Let j(k) be the third derivative of 2*k**3 - k**2 - f*k**6 + 0*k - 2/15*k**5 + 1/12*k**4 + 0. What is j(-8)?
-4
Suppose -5*a + 135 = -15. Let b = 31 - a. Let k(c) = 7*c - 4. Let w(u) = 1. Let j(h) = b*k(h) + 6*w(h). Give j(-3).
-19
Let z(k) = -k**3 - 13*k**2 - 6*k + 62. Let p(v) = -9*v**3 + 53*v**2 - 5*v + 54. Let r be p(6). Determine z(r).
-10
Let r(u) be the third derivative of -u**5/20 + u**4/6 + u**3/2 - 3*u**2 - 171*u. Calculate r(-4).
-61
Let z(i) = 17*i - 4. Suppose -210*t = 206*t + 1664. What is z(t)?
-72
Let l(y) = -y**2 - 23*y - 42. Suppose -3*n + 129 = -b + 198, 9 = n + 5*b. Determine l(n).
0
Let j(g) be the first derivative of g**3 + g**2/2 + 32*g + 6171. Calculate j(0).
32
Let f(c) be the third derivative of c**5/60 + 5*c**4/12 - 5*c**3 + 64*c**2 - 13. What is f(-15)?
45
Let d(z) = -6*z**2 - 5*z + 1. Let a be d(-1). Let h(l) = -l**2 + 3 - 8 - 5 + l - 7. Calculate h(a).
-17
Let u be 13 - (2 - 6/(-3)). Let w(k) be the third derivative of -k**4/24 + 13*k**3/6 - 6*k**2 + 3. Calculate w(u).
4
Let d(v) = 9*v**3 - 13*v**2 - 26*v + 9. Let i(u) = 11*u**3 - 14*u**2 - 26*u + 10. Let q(r) = 5*d(r) - 4*i(r). What is q(11)?
-39
Let z(r) = 58*r - 13*r - 239 - 26*r - 13*r + 85. Calculate z(26).
2
Suppose 72 = 61*n - 73*n. Let q be (-24)/(-18)*n/(-4). Let w(k) = -2*k**3 + 2*k**2 - 2*k + 1. Calculate w(q).
-11
Let u(a) be the first derivative of -a**3/3 + 11*a**2/2 - 15*a + 3401. What is u(10)?
-5
Let a(x) be the third derivative of x**5/60 - 7*x**4/24 + 13*x**3/6 - 15*x**2 + 228. Calculate a(4).
1
Suppose -4*i + 5*i + 3 = 0. Let y be 1*2 - 1*(i - 100). Suppose -10*k + y = 5*k. Let r(b) = -b**2 + 6*b + 3. Give r(k).
-4
Let l(o) = -o - 4. Let u(h) = 23*h + 15. Let t(z) = 2*l(z) + u(z). Give t(3).
70
Let t(i) be the first derivative of -i**4/4 - 16*i**3/3 - 13*i**2/2 + 29*i - 206. Let g be t(-15). Let r(f) = -6*f**3 - 2*f**2 + 1. What is r(g)?
5
Suppose -2*n = 18*n - 80. Let p be -2*(2/n)/(1 + 0). Let k(t) = -4*t**3 + t**2 - 1. Calculate k(p).
4
Let i be 2/(4 + 176/(-40)). Let s(f) = -5 - 2*f**2 - 4*f + f**3 + f**2 + 6*f**2. Give s(i).
15
Let n(h) = 2*h + 2*h - 7*h + 6 + 0*h. Suppose -10*s - 554 = -604. Calculate n(s).
-9
Let b(q) be the second derivative of -q**7/840 - q**6/72 - q**5/120 - q**4/6 + 253*q**3/6 - 343*q. Let d(z) be the second derivative of b(z). What is d(-4)?
-16
Let a = -246 - -244. Let z be 7/a + 375/(-50). Let v(j) = j**3 + 10*j**2 - 11*j + 1. Determine v(z).
1
Let j(p) = -7*p**2 + 11*p + 285. Let f be j(7). Let s(z) = -z**2 + 15*z + 70. What is s(f)?
-6
Let u be -8 - (0 - (-4 + 0 - -8)). Let n(y) = 2*y**2 - y + 14. Determine n(u).
50
Let w(m) = m**2 + 1. Let y(i) = 4*i**2 + 3. Let s(z) = 3*w(z) - y(z). Suppose 1 + 41 = 7*r. Suppose -10*n = r*n - 32. What is s(n)?
-4
Let z(w) = -w**2 - w - 21. Suppose -1118*d = -1123*d + 10. Suppose -d*h = -3*y, 2*y + 0*h + 4*h = 0. Determine z(y).
-21
Let t(g) = g**2. Let i(z) = -3*z**2 - 7*z + 9. Let a(s) = -i(s) - 2*t(s). Let w(d) = -d - 53. Let u be w(-45). Calculate a(u).
-1
Let c be (-2)/5 + 132/(-20). Let j(y) = -4 - 4 - 11*y + 6*y + 5. Let d(l) = -4*l - 4. Let i(b) = 4*d(b) - 3*j(b). Calculate i(c).
0
Let s(j) = 66*j + 105. Let p(i) = -18*i - 35. Let v(d) = 7*p(d) + 2*s(d). Give v(6).
1
Let d(b) be the third derivative of -b**6/180 - b**5/24 + b**4/3 + 49*b**3/3 - 2*b**2 - 15. Let o(f) be the first derivative of d(f). Determine o(-6).
-34
Let l = 143 + -141. Let m(i) = 14*i**2 - 7*i - 3 - 9*i**2 - 2 - i**3 - 11*i**l. Determine m(-4).
-9
Let y(d) = -5*d**3 + 4*d**2 + 4*d - 1. Let b(m) be the first derivative of 5/2*m**2 - 3/2*m**4 + 13 - m + 5/3*m**3. Let x(l) = 4*b(l) - 5*y(l). Give x(2).
9
Suppose -7 = 22*v - 21*v. Let w(f) be the first derivative of 11 + 1/2*f**2 + 7/3*f**3 + 1/4*f**4 + 8*f. Determine w(v).
1
Let q(d) be the third derivative of -7*d**4/24 - 23*d**3/6 - 25*d**2 + 4*d + 5. Calculate q(-3).
-2
Let m(s) = -35*s**2 + 9*s + 2. Let q(t) = 122*t**2 - 28*t - 9. Let k(x) = -7*m(x) - 2*q(x). What is k(9)?
22
Let l be (-9)/(-36) + ((-2)/8)/1. Suppose -2*p + 3 + 45 = l. Let c(r) = 17 - p - r**2 + 0*r**2 + 9*r. What is c(8)?
1
Suppose 0 = -4*n - 5*f - 21, 3*n + 3*f + 30 - 18 = 0. Let z(r) be the first derivative of -7/2*r**2 + n + 1/3*r**3 + 9*r. What is z(6)?
3
Suppose 8*x + 2213 = 2357. Let k(q) = q**2 - 20*q + 4. Determine k(x).
-32
Let x(m) = -45*m - 315. Let b be x(-7). Let v(a) = b*a + 4*a + 3*a - 5*a - 10. Suppose 0*o - 3*n = 3*o - 24, 5*o - 5*n - 30 = 0. Give v(o).
4
Let y(q) = -30*q**2 - 4*q + 18. Let d(h) = 15*h**2 + 2*h - 8. Let v(o) = 9*d(o) + 4*y(o). Determine v(-2).
56
Suppose -3*p - 9 = -5*o, 2*o - 2 + 0 = 2*p. Let w(l) = o*l + 8 + 3*l - 5*l. Let k be 24/28 | {
"pile_set_name": "DM Mathematics"
} |
losest to 2/51? (a) -0.5 (b) 3 (c) -0.6
a
What is the closest to 0.1 in 3, -2/15, -13?
-2/15
What is the closest to 2/7 in 5/78, 0.3, -0.1?
0.3
What is the closest to 5 in 32/5, -0.3, -0.2, 0?
32/5
What is the nearest to -3/2 in 3/5, -2/9, -3?
-2/9
What is the nearest to 1 in -0.9, -0.4, -3/7, -5?
-0.4
What is the nearest to -2 in 0, -2/55, -2/3, 0.0153?
-2/3
What is the closest to -0.1 in -1, -3, 0, 12?
0
Which is the nearest to -1/3? (a) 1/4 (b) 29 (c) 0.4 (d) 2
a
What is the closest to 36 in -3, -0.4, 1/3?
1/3
What is the nearest to 3 in 2/13, -2/13, -0.5, -2/5?
2/13
Which is the nearest to 1/3? (a) 0.4 (b) 0 (c) 0.014
a
What is the closest to 6 in -7, 4, -1/5, 1?
4
Which is the nearest to -20? (a) -5 (b) 3/8 (c) 0.5 (d) 1/3
a
Which is the closest to -10/3? (a) 0 (b) -1 (c) -0.1
b
Which is the nearest to -0.1? (a) -5 (b) 1 (c) 74
b
Which is the closest to -2? (a) 4 (b) -0.2 (c) -2 (d) -15
c
What is the nearest to -1 in -9, -1/2, 1/12?
-1/2
What is the nearest to 0.1 in -3/2, 0, -3/14, -2?
0
Which is the nearest to 1/4? (a) -0.4 (b) 1 (c) -4/7
a
What is the closest to 0.4 in 2/13, -5, 2/15?
2/13
What is the nearest to -1 in 24, -1/6, 12?
-1/6
Which is the closest to 1? (a) -1/4 (b) -245/2 (c) 6
a
What is the closest to 0 in 1, 34, 0.4, 0.06?
0.06
What is the closest to -2/1105 in -3/5, -1, 2?
-3/5
What is the nearest to 0.1 in -3/10, -71, -0.5?
-3/10
Which is the closest to 1/3? (a) -3/2 (b) -13 (c) -2.4
a
What is the closest to 0.2 in 1, -3, 0?
0
What is the closest to -2/3 in 0.1, -1, 1/4, 0?
-1
What is the nearest to 69 in -7.2, 3/7, 1/4, -2?
3/7
What is the nearest to 1 in -5/2, 3/5, -0.06, 0?
3/5
Which is the closest to -2/7? (a) 5 (b) 0.7 (c) -1 (d) -0.334
d
What is the nearest to -3/11 in -3, 0.4, -0.4, -1/2?
-0.4
Which is the closest to 2/3? (a) 47 (b) -2/9 (c) -1/8
c
Which is the closest to 21? (a) 0.4 (b) 1/5 (c) 1/7 (d) 0.1
a
Which is the closest to 0.1? (a) 0.4 (b) 2/9 (c) 11 (d) -8
b
What is the nearest to -2 in 0.5, -8, 2?
0.5
Which is the nearest to 0.2? (a) -5 (b) 0 (c) -0.038
b
What is the closest to 0.05 in 0.9, -2/3, 3, -0.5?
-0.5
What is the closest to 37 in -5, 0.3, -0.5?
0.3
What is the nearest to 1/4 in 1/13, -7/6, -0.5?
1/13
What is the closest to -1 in 1, 0.01, 0.2?
0.01
What is the nearest to 2/5 in -46, -1, 0.03, -3?
0.03
What is the nearest to -0.1 in -3, 0.1, 1.9?
0.1
What is the nearest to -1 in 5, -2, 0.937, 3?
-2
Which is the closest to 2/5? (a) 2 (b) -0.3 (c) 4
b
Which is the closest to -2? (a) -7 (b) 1/5 (c) -1/69
c
What is the nearest to -1/6 in -5, -2/7, -0.3?
-2/7
What is the nearest to 1 in 3.3, 2/21, 1/3, 1?
1
Which is the nearest to -6/7? (a) 1 (b) -0.2 (c) 0 (d) 3/7
b
Which is the nearest to 0? (a) -1/4 (b) -2 (c) 4 (d) -5
a
What is the closest to 0.1 in 1/3, 1/2, 1.5, 3/4?
1/3
Which is the closest to -1? (a) -3/5 (b) -3 (c) 31.8 (d) -0.4
a
What is the closest to -6 in 2/13, -0.5, -0.9, 0.4?
-0.9
Which is the nearest to 5? (a) 1.3 (b) 0.2 (c) 5
c
Which is the closest to -0.05? (a) -0.2 (b) 28 (c) 0.4
a
Which is the nearest to -2/3? (a) -11 (b) -2 (c) -3/2 (d) 9.1
c
Which is the nearest to 2? (a) -2/19 (b) -7 (c) 0.5
c
What is the nearest to 0 in 2/29, -9, -1/20?
-1/20
What is the nearest to -2/17 in 3, 0.05, 5?
0.05
What is the nearest to -0.1 in 5, 231, 1/2, -4?
1/2
What is the nearest to -2/7 in 2/19, -6/7, -1.3, 1?
2/19
What is the nearest to 4 in -1.3, 1/2, -0.4?
1/2
What is the nearest to -1/2 in -0.08, 0.3, 6?
-0.08
Which is the nearest to 3/2? (a) -0.1 (b) -2 (c) -1.5
a
What is the nearest to -2/9 in -3/2, 0.3, 5, -5?
0.3
Which is the closest to 19? (a) 3 (b) 4 (c) -1
b
What is the closest to 3 in -0.01, -5, 0.5?
0.5
What is the nearest to -2/7 in 0, 1/10, 6, -2/5?
-2/5
What is the closest to 0.13 in 0.3, 2, -3?
0.3
Which is the nearest to 2? (a) -1/7 (b) 1.1 (c) 4 (d) -2
b
Which is the nearest to 2? (a) -4 (b) 2 (c) -0.03
b
What is the closest to 2 in -0.5, 2/5, -4, 3?
3
Which is the closest to 2? (a) -0.4 (b) -5 (c) -1 (d) -13
a
Which is the closest to 103/3? (a) -3 (b) -43 (c) -2/15
c
What is the nearest to -0.1 in -1/6, -1/9, -6/19?
-1/9
What is the nearest to 17 in -4/9, -3, -0.1, -0.01?
-0.01
Which is the nearest to 1? (a) 0.5 (b) 3 (c) 2/3 (d) -2/5
c
Which is the closest to 1? (a) -5 (b) 18 (c) 5 (d) 1/2
d
Which is the nearest to 0.2? (a) -2/5 (b) 6 (c) 2
a
Which is the nearest to 3/2? (a) 2/11 (b) -0.383 (c) -2/3
a
What is the nearest to 2/3 in -2.4, -2/7, -0.1, -2/13?
-0.1
What is the nearest to 5 in 3, 0.5, -3.7?
3
What is the closest to 5 in 4/5, 2/3, 3?
3
What is the closest to -2 in -3/7, 1/9, -4, -0.3?
-3/7
Which is the nearest to 6? (a) -3/7 (b) 4 (c) 1/7
b
Which is the nearest to -3? (a) -6 (b) 1/4 (c) 5 (d) -25/2
a
What is the nearest to 1 in 4, 189, -1?
-1
What is the nearest to -3/2 in 0, 1/2, 0.07, 1/3?
0
What is the closest to -1 in -3, 0.1, -2/77?
-2/77
What is the closest to -15/8 in 4, 1/3, -4/7?
-4/7
What is the closest to 25 in -132, 2/7, 0.1?
2/7
Which is the nearest to 319? (a) -5 (b) -1 (c) 1/4
c
Which is the closest to -0.4? (a) 0.1 (b) 0.3 (c) -3
a
Which is the nearest to 2/5? (a) -3/16 (b) -0.1 (c) -3 (d) 5/3
b
Which is the nearest to -2/5? (a) 0.1 (b) -0.3 (c) -3/20
b
What is the nearest to 0.1 in 4, 1.75, -2/7, 3?
-2/7
What is the nearest to -1 in 3, -0.2, -0.08?
-0.2
Which is the nearest to 1? (a) 173 (b) 1 (c) 1/3
b
What is the closest to -1 in 0.5, 3/113, 0?
0
Which is the nearest to 0? (a) 2/23 (b) 1/8 (c) -6
a
Which is the closest to -1/3? (a) 0.4 (b) -25/6 (c) -0.1
c
Which is the nearest to 19? (a) -4 (b) -3/2 (c) 0
c
Which is the closest to -2? (a) 1 (b) -13 (c) 2/3 (d) 4/11
d
Which is the closest to -1/4? (a) 0.5 (b) 3 (c) 1/5
c
What is the closest to 2/5 in 3/8, -0.5, 0.2?
3/8
What is the closest to -15 in -9/25, 1, 1/5?
-9/25
What is the nearest to 1/5 in -3/7, -2/29, 0?
0
What is the nearest to 0 in -26/9, -3, 6/7?
6/7
What is the closest to -2/3 in -0.2, -126, -2, 5?
-0.2
What is the closest to -2/7 in 4, 0.2, 1, 61/5?
0.2
What is the closest to 0.1 in 0.4, 5, 289?
0.4
What is the nearest to 0 in -280, -0.01, 0.2?
-0.01
What is the closest to 1/3 in 5, 0, 3/7, -1/3?
3/7
What is the nearest to 0 in 3, -1/3, -2/11, -2?
-2/11
Which is the closest to 2/3? (a) 1/9 (b) 2/813 (c) -0.4
a
What is the nearest to 0.09 in 1/6, -5, 5, 3?
1/6
Which is the closest to 2? (a) -4 (b) -1/6 (c) 1/4 (d) 5
c
Which is the closest to 1/4? (a) 5/4 (b) -2/5 (c) -0.2
c
Which is the nearest to -1/7? (a) 2 (b) 0.5 (c) -1 (d) -8/3
b
What is the closest to -6/13 in 2, 0.4, 6, 1/4?
1/4
What is the closest to 4 in 5, -1/9, 4, 4/9?
4
What is the closest to -2/7 in 0.08, 9, -3, 2?
0.08
What is the closest to -2 in -2, -2/7, 1/2, 3/8?
-2
Which is the nearest to -19.2? (a) -2/7 (b) 0.2 (c) 0.4
a
Which is the closest to 11? (a) 0.8 (b) 1/4 (c) 1
c
Which is the closest to -0.06? (a) 4 (b) 1 (c) 0.2 (d) 0
d
What is the closest to -1/4 in 2/3, 5/12, 0.5?
5/12
What is the closest to 0 in -16, -3/2, 0.054?
0.054
Which is the closest to 0? (a) -2 (b) -6/5 (c) -12/17 (d) 2/7
d
What is the closest to 0.4 in 4, 4/7, 6, -1/2?
4/7
What is the nearest to 1/3 in 2/3, -5, -2/9?
2/3
Which is the nearest to -4? (a) 6 (b) 1 (c) -6 (d) -0.4
c
Which is the nearest to 6/11? (a) 1/9 (b) -0.4 (c) 1/3 (d) -5
c
What is the closest to -1/5 in 5, -2/3, 4, -0.4?
-0.4
Which is the closest to -2? (a) 5 (b) -6 (c) 213
b
What is the nearest to 1/4 in -0.1, 0.4, 5?
0.4
Which is the nearest to 2/7? (a) 6 (b) -1/6 (c) -3
b
Which is the closest to 2? (a) -0.2 (b) -0.01 (c) -4/7 (d) -3
b
What is the nearest to 1/3 in 2/5, -1/2, -2/3, 14?
2/5
Which is the closest to -1? (a) 2/5 (b) -6 (c) -14
a
What is the nearest to -0.1 in -282, -0.2, 0.1, -0.5?
-0.2
What is the closest to -110 in 52/3, -4, 0.1, 1/2?
-4
What is the nearest to -2/17 in -1/2, 1, -1/16, 0.5?
-1/16
Which is the nearest to 0.01? (a) 0.4 (b) -0.18 (c) -3 (d) -2
b
What is the nearest to 1 in -2, -4/17, -4?
-4/17
Which is the nearest to 4/11? (a) 5 (b) 5/2 (c) -3 (d) 0.3
d
What is the closest to 3 in -1/5, 10, -0.3, 0.3?
0.3
What is the nearest to - | {
"pile_set_name": "DM Mathematics"
} |
Collect the terms in -158*u**2 - 46*u + 81*u**2 + 72*u**2 + 2 + 12*u**3.
12*u**3 - 5*u**2 - 46*u + 2
Collect the terms in -28 + 40 + 371335*d - 17 - 371336*d.
-d - 5
Collect the terms in -6*z - 7*z - 19*z + 56 - 15.
-32*z + 41
Collect the terms in 6*m + 2184 - 834 - 675 - 675.
6*m
Collect the terms in -9*k - 1660 - 1668 + 4418 - 1090.
-9*k
Collect the terms in -182438 + 365954 + 6*x**3 - 183516 + 2*x**3.
8*x**3
Collect the terms in -2091*f**2 - 578*f + 1250*f**2 - 6943*f**2 + 578*f.
-7784*f**2
Collect the terms in 980345 + 51*v**2 + 5*v**2 - 980360.
56*v**2 - 15
Collect the terms in -192241*s - 194109*s + 386340*s.
-10*s
Collect the terms in -13*s + 4455508*s**3 - 4455539*s**3 - 12*s + 25*s.
-31*s**3
Collect the terms in 6267*w - 21576*w + 7141*w + 6786*w.
-1382*w
Collect the terms in 462 - 462 - 31126*s**2.
-31126*s**2
Collect the terms in 13 + 22 + 3 + a**2 + 18 - 6 + 6.
a**2 + 56
Collect the terms in 13 - 103*g - 363*g + 133*g - 493*g.
-826*g + 13
Collect the terms in 15095*x**2 - 4 + 4 - 15552*x**2.
-457*x**2
Collect the terms in -166273193256*n**2 - 2 + 2 + 166273193265*n**2.
9*n**2
Collect the terms in -130*o**2 - 4*o - 8*o + 5*o + 5 + 7*o.
-130*o**2 + 5
Collect the terms in -67*i**3 + 442*i**2 - 442*i**2 + 261*i**3 + 408*i**3.
602*i**3
Collect the terms in -13054 - 17*z**2 - 26*z**2 + 39*z**2 - 13048 + 26102.
-4*z**2
Collect the terms in 230*u + 2547*u + 1089*u - 9713*u - 9845*u.
-15692*u
Collect the terms in 95*o**2 + 598*o - 5 - 5 + 4*o**3 + 12 - 6*o**3.
-2*o**3 + 95*o**2 + 598*o + 2
Collect the terms in 240 - 8706 + 1610 - 3*u + u.
-2*u - 6856
Collect the terms in 3508*h - 7066*h + 3500*h.
-58*h
Collect the terms in -1812241 + 164*d**3 - 69*d**3 + 1812241.
95*d**3
Collect the terms in 0*b**3 - 40*b**2 + 7*b**3 - 394 - 7*b**3 + 39*b**2 - b**3.
-b**3 - b**2 - 394
Collect the terms in -3894649*t**2 + 1947330*t**2 - 44 - 20 + 1947321*t**2.
2*t**2 - 64
Collect the terms in 405793*a - 103282*a + 95892*a - 127152*a + 548915*a.
820166*a
Collect the terms in -3 - 5 + 1 + 69157*s.
69157*s - 7
Collect the terms in -1754271*p**2 - 1754258*p**2 + 3508505*p**2.
-24*p**2
Collect the terms in 44680 - 14894 - 1111*d**3 - 14891 - 14895.
-1111*d**3
Collect the terms in 326116*f + 7*f**3 - 326116*f + 380*f**3.
387*f**3
Collect the terms in y - 22*y**2 + 72 + 2*y**3 + 5*y**2 - 5*y**2 - 16.
2*y**3 - 22*y**2 + y + 56
Collect the terms in 49698*b**3 + 66 + 74 - 140.
49698*b**3
Collect the terms in -66*c + 2 + 9*c**2 - 285*c**3 + c**2 + 286*c**3.
c**3 + 10*c**2 - 66*c + 2
Collect the terms in -13 - 246398*w + 246397*w + 32 - 19.
-w
Collect the terms in 9 - 8481*v - 9 + 3 + 0 - 1.
-8481*v + 2
Collect the terms in 480 - 759 + 87 + 5*g**2 + 84 + 108.
5*g**2
Collect the terms in 26*q**2 - 18620*q + 2*q**3 - 5 + 7 + 3 + 0.
2*q**3 + 26*q**2 - 18620*q + 5
Collect the terms in -76*m + 0*m**3 + 62*m - m**3 - 4*m**3 + 15*m + 15.
-5*m**3 + m + 15
Collect the terms in 27 - 5 + 360*l - 13 + 62*l - 9.
422*l
Collect the terms in -68 + 129 + 11*d - 72 - 3*d + d - 4*d.
5*d - 11
Collect the terms in 45 - 594*d**3 + d**2 + 36*d**3 - d**2 - 47.
-558*d**3 - 2
Collect the terms in -297 + 234*d + 588 - 294 + 36*d + 86*d.
356*d - 3
Collect the terms in 0*n + 2*n + 221134205800*n**2 - 221134205803*n**2.
-3*n**2 + 2*n
Collect the terms in -880*r**2 - 522*r**2 - 498*r**2 + 579*r**2.
-1321*r**2
Collect the terms in -80 + 48499*k + 231 - 151 - 6765*k.
41734*k
Collect the terms in 235*y**3 + 254*y**3 - 1135*y**3 + 307*y**3 + 249*y**3.
-90*y**3
Collect the terms in 467956*m**2 + 449060*m**2 - 917020*m**2.
-4*m**2
Collect the terms in 8051*b - 16286*b + 7692*b.
-543*b
Collect the terms in -77*w - 71*w + 15*w + 50*w.
-83*w
Collect the terms in -964 + 372 - 3*f + 5*f - 4*f + 0*f.
-2*f - 592
Collect the terms in 700791*u**2 - 39*u**3 - 1401595*u**2 + 700804*u**2.
-39*u**3
Collect the terms in -7*o**3 + 1095820236093951 - 1095820236093951.
-7*o**3
Collect the terms in 101*h + 48*h + 395*h - h**2 + 277*h - 339*h.
-h**2 + 482*h
Collect the terms in 30977*p + 15 - 30977*p - 12 + 372*p**2 - 3.
372*p**2
Collect the terms in -47*t**2 + 84*t**2 + 13074*t - 41*t**2.
-4*t**2 + 13074*t
Collect the terms in 8599*m - 2869*m - 2866*m + 76*m**3 - 2864*m.
76*m**3
Collect the terms in -118 + 26 - 27210*i**3 + 92 - 19705*i**3.
-46915*i**3
Collect the terms in 15470*y**2 + 15466*y**2 - 46404*y**2 + 15468*y**2 - 116*y**3 + 14*y**3.
-102*y**3
Collect the terms in 4 - 631096*b - 4 + 4107986*b.
3476890*b
Collect the terms in 15653 - 1120*d**2 - 15653 + 823*d**2 + 2*d**3 + 297*d**2.
2*d**3
Collect the terms in -119*v + 116*v + 157*v + 12*v + 165*v.
331*v
Collect the terms in 200 + 0*g**2 - g**2 + 14 - 41 + 34.
-g**2 + 207
Collect the terms in -54*i + 11*i - 6*i + 14*i - 73*i - 22*i.
-130*i
Collect the terms in 1019 - 65*l**2 - 1023 - 14*l**2 + 20*l**2 + 22*l**2.
-37*l**2 - 4
Collect the terms in -5*a**3 - 66198 + 66196 + 62*a**2 + 8*a**2 + a**2.
-5*a**3 + 71*a**2 - 2
Collect the terms in -188 - 162 - t + 565 - 173.
-t + 42
Collect the terms in 3816*d + 15053*d + 33414*d - 13180*d.
39103*d
Collect the terms in -66954*y**2 + 13761*y**2 - 42601*y**2.
-95794*y**2
Collect the terms in 142876*h**2 - 428598*h**2 + 142860*h**2 + 142860*h**2.
-2*h**2
Collect the terms in 92*g - 52*g - 66*g - 27*g - 61.
-53*g - 61
Collect the terms in -655*x**3 + 255 - 244*x**3 + 251 - 504.
-899*x**3 + 2
Collect the terms in 15*q**3 - 3*q**2 + 316578084 - 316578084 - 4*q**2.
15*q**3 - 7*q**2
Collect the terms in 118*d**2 - 8608*d**3 - 117*d**2 - d**2.
-8608*d**3
Collect the terms in 319*g + 0*g**2 - 107*g + 2*g**2 + 0*g**2 - 97*g - 115*g.
2*g**2
Collect the terms in 37*l + 11 + 2*l**2 - 172*l + 552 - 84*l.
2*l**2 - 219*l + 563
Collect the terms in 119 + 99631*n - 99631*n - 2*n**2 + 3*n**2.
n**2 + 119
Collect the terms in a**2 - 143989911 - 143989911 + 287979822 + 2*a.
a**2 + 2*a
Collect the terms in 73900638*z**2 + 7*z**3 - 73900638*z**2.
7*z**3
Collect the terms in -24 - 8 + 52 - 15*f**3 - 5*f**3.
-20*f**3 + 20
Collect the terms in -1954128*i**2 + 977053*i**2 + 977052*i**2.
-23*i**2
Collect the terms in -4943000 - 3*u**3 - 60*u + 4943000.
-3*u**3 - 60*u
Collect the terms in 79*t - 319*t + 48*t + 346*t - 3 + 3.
154*t
Collect the terms in -4353*l - 7080*l + 298*l.
-11135*l
Collect the terms in 7797072244277*r - r**2 - 7797072244277*r + 6*r**3 + r**2 + 0 + 0.
6*r**3
Collect the terms in 26 - 109 + 630*w + 27 + 26 + 26.
630*w - 4
Collect the terms in 687654 - 687654 - 1024*n + 520*n + 515*n.
11*n
Collect the terms in 1095*n - 353*n - 373*n - 352*n + 2 - 45*n.
-28*n + 2
Collect the terms in 517*t**3 + 540*t**3 - 422*t**3 + 2650*t**3.
3285*t**3
Collect the terms in -1146*t**2 - 1171*t**2 - 1145*t**2 + 5785*t**2 - 1149*t**2 - 1160*t**2.
14*t**2
Collect the terms in 1360*m + 28464*m**3 - 3091*m**3 - 1360*m + 16357*m**3.
41730*m**3
Collect the terms in 1459985*v**3 + 404587*v**3 - 225963*v**3.
1638609*v**3
Collect the terms in -188 + 573 + 386*k - 192 - 192 - 415*k.
-29*k + 1
Collect the terms in 4943*c**2 + 23*c**3 - 36*c**3 + 6 - 2458*c**2 - 2485*c**2.
-13*c**3 + 6
Collect the terms in 2324*v**2 + 868844*v - 434420*v - 177*v**2 - 434424*v.
2147*v**2
Collect the terms in -24870772280 - 24*o**2 + 24870772280.
-24*o**2
Collect the terms in y + 6718 - 6753 - 5*y + 243*y**3 + 4*y.
243*y**3 - 35
Collect the terms in -239 + 4958*t + 234 + 6015*t.
10973*t - 5
Collect the terms in -39256*l - 5 - 11302*l + 4.
-50558*l - 1
Collect the terms in 43*r**2 + 55*r**2 + 10*r - 354*r**2 + 274*r**2.
18*r**2 + 10*r
Collect the terms in -145*l + 8*l + 35*l - 219*l + 20*l.
-301*l
Collect the terms in 1570 - 39*x + 1564 - 3132 - x**2.
-x**2 - 39*x + 2
Collect the terms in 198*q**2 + q - 12*q**2 + 0*q + 12*q**3.
12*q**3 + 186*q**2 + q
Collect the terms in 468*x - 1020*x - 4853*x + 242*x - 3030*x.
-8193*x
Collect the terms in -1 + 333101*c**2 + 6*c + 1 - 11*c.
333101*c**2 - 5*c
Collect the terms in 3163*t**2 - 1 - 3163*t**2 + 19*t**3.
19*t**3 - 1
Collect the terms in 763*n**3 + 471*n**3 + 760*n**3 - 1986*n**3.
8*n**3
Collect the terms in -10*s + 330058721 + 26*s + 5*s**3 - 11*s - 330058721 - 5*s.
5*s**3
Collect the terms in p**3 - 3780*p**2 - 1351*p**2 - 947*p**2 + 371*p**2 - 1.
p**3 - 5707*p**2 - 1
Collect the terms in 612862*o**2 + 9 - 9 + 3830701*o**2.
4443563*o**2
| {
"pile_set_name": "DM Mathematics"
} |
ters picked without replacement from eikuciekqik. What is prob of sequence ek?
3/55
Two letters picked without replacement from trrrkrtjjwwwkjwwxjtw. What is prob of sequence tj?
3/95
Calculate prob of sequence zf when two letters picked without replacement from {x: 1, b: 1, e: 1, f: 1, z: 1}.
1/20
Two letters picked without replacement from zzazaaz. Give prob of sequence zz.
2/7
Calculate prob of sequence pp when two letters picked without replacement from ppp.
1
What is prob of sequence mmm when three letters picked without replacement from {z: 1, m: 1, r: 1, l: 1, b: 1}?
0
Three letters picked without replacement from oqooqoononqoqqqoqq. Give prob of sequence oqo.
14/153
Three letters picked without replacement from dhhhdhdhhorrrrdrrhd. What is prob of sequence rrh?
35/969
What is prob of sequence fwww when four letters picked without replacement from wwwwwwwwwwfwwwwwwww?
1/19
What is prob of sequence jw when two letters picked without replacement from {j: 7, w: 2, h: 4}?
7/78
What is prob of sequence zzz when three letters picked without replacement from {g: 4, z: 3, l: 8, p: 4}?
1/969
What is prob of sequence uuuo when four letters picked without replacement from xooxouoouxuuxxoxx?
3/1190
What is prob of sequence on when two letters picked without replacement from dnoddooddyydo?
1/39
Three letters picked without replacement from {k: 5, z: 1, t: 8, u: 2}. Give prob of sequence ukz.
1/336
Two letters picked without replacement from gzgzzzw. What is prob of sequence wg?
1/21
Calculate prob of sequence cs when two letters picked without replacement from szqdzcq.
1/42
Calculate prob of sequence tev when three letters picked without replacement from {e: 2, v: 1, t: 1}.
1/12
What is prob of sequence yo when two letters picked without replacement from {o: 6, y: 4}?
4/15
What is prob of sequence sssq when four letters picked without replacement from {b: 2, s: 4, t: 4, q: 2}?
2/495
What is prob of sequence ry when two letters picked without replacement from srzzqqyw?
1/56
Calculate prob of sequence fgi when three letters picked without replacement from fiifgeigi.
2/63
Four letters picked without replacement from {f: 1, i: 6, s: 1, q: 7}. Give prob of sequence siif.
1/1092
What is prob of sequence dm when two letters picked without replacement from {d: 3, t: 8, m: 2, h: 5, z: 2}?
3/190
Two letters picked without replacement from jjjjjjjjj. Give prob of sequence jj.
1
What is prob of sequence ho when two letters picked without replacement from ohhwohhhosf?
3/22
Calculate prob of sequence xxc when three letters picked without replacement from {n: 1, d: 1, x: 2, c: 1, j: 2}.
1/105
Three letters picked without replacement from smppsx. Give prob of sequence xpp.
1/60
Two letters picked without replacement from ppfprrrnryrrnylpr. Give prob of sequence fy.
1/136
Two letters picked without replacement from {t: 4, a: 3, e: 2, k: 2, y: 2, v: 2}. What is prob of sequence ky?
2/105
Two letters picked without replacement from {c: 2, l: 1}. What is prob of sequence cl?
1/3
Four letters picked without replacement from mmssszmssszsm. What is prob of sequence mssm?
21/715
What is prob of sequence qgqz when four letters picked without replacement from {z: 2, q: 2, g: 2, o: 2, e: 3, l: 6}?
1/7140
Three letters picked without replacement from nonmcmmommmocmcmm. Give prob of sequence nmc.
9/680
What is prob of sequence eimp when four letters picked without replacement from eipeiiiemi?
1/336
Two letters picked without replacement from ndsdnlmbsddlbn. What is prob of sequence bm?
1/91
What is prob of sequence fjpc when four letters picked without replacement from pfxffqxfccffppfpxxj?
7/11628
Calculate prob of sequence iwvv when four letters picked without replacement from {v: 2, i: 1, m: 1, w: 2}.
1/90
Four letters picked without replacement from luhuuluhllllsl. Give prob of sequence hslh.
1/1716
What is prob of sequence reee when four letters picked without replacement from eeeeeeeeeeerrr?
45/364
Calculate prob of sequence fsx when three letters picked without replacement from xfmnssn.
1/105
Calculate prob of sequence pg when two letters picked without replacement from ppgpegpv.
1/7
Two letters picked without replacement from {h: 1, v: 3}. Give prob of sequence vv.
1/2
What is prob of sequence aayt when four letters picked without replacement from yassasatkdktas?
1/1001
Three letters picked without replacement from qqpaq. Give prob of sequence qap.
1/20
What is prob of sequence yy when two letters picked without replacement from {g: 2, y: 7, a: 2}?
21/55
Two letters picked without replacement from eefpfefdefofy. Give prob of sequence do.
1/156
What is prob of sequence xx when two letters picked without replacement from {x: 2, e: 1}?
1/3
What is prob of sequence mu when two letters picked without replacement from mmummmuuummmu?
10/39
Two letters picked without replacement from qzzsnoqszooslno. What is prob of sequence zl?
1/70
Two letters picked without replacement from qsggrcuussu. What is prob of sequence rq?
1/110
What is prob of sequence bw when two letters picked without replacement from ubvbbubwtt?
2/45
What is prob of sequence wwww when four letters picked without replacement from {w: 7}?
1
Calculate prob of sequence nbn when three letters picked without replacement from {v: 1, n: 2, b: 1}.
1/12
Calculate prob of sequence xb when two letters picked without replacement from bbxx.
1/3
What is prob of sequence vvsv when four letters picked without replacement from dvsddvaaxvxdxxxvxddx?
1/4845
Calculate prob of sequence yvw when three letters picked without replacement from qvwcywvvqqe.
1/165
Calculate prob of sequence fsfs when four letters picked without replacement from qvffqsfsqfqff.
1/286
Three letters picked without replacement from {r: 5, q: 1, x: 1, t: 3}. Give prob of sequence ttt.
1/120
Calculate prob of sequence gggg when four letters picked without replacement from {g: 4, q: 2, y: 12, z: 2}.
1/4845
Two letters picked without replacement from gllpxxy. What is prob of sequence py?
1/42
What is prob of sequence pr when two letters picked without replacement from ojrprrkrjjrjjrrjj?
7/272
Two letters picked without replacement from nnnnnnnnn. Give prob of sequence nn.
1
What is prob of sequence hhdt when four letters picked without replacement from htkhhdhhhkhhdkhthd?
1/136
Calculate prob of sequence xv when two letters picked without replacement from vxxvixihihx.
4/55
Two letters picked without replacement from {f: 4, j: 1, n: 4, m: 5, s: 1}. Give prob of sequence mj.
1/42
Calculate prob of sequence stkk when four letters picked without replacement from ktsskss.
1/105
Four letters picked without replacement from dawmrwaradmmmab. Give prob of sequence mrrw.
2/4095
Three letters picked without replacement from pchhpchcchchhpp. What is prob of sequence hcp?
4/91
Three letters picked without replacement from {z: 10}. What is prob of sequence zzz?
1
Calculate prob of sequence vvsb when four letters picked without replacement from {b: 2, s: 2, v: 8}.
28/1485
Two letters picked without replacement from {q: 5, x: 3, k: 2, c: 2}. What is prob of sequence qk?
5/66
Two letters picked without replacement from rrsrrrrsrrrr. Give prob of sequence ss.
1/66
Four letters picked without replacement from {z: 2, c: 6, m: 1, b: 7, f: 1}. What is prob of sequence mfzb?
1/4080
Four letters picked without replacement from {i: 4, t: 2, a: 1, e: 2, q: 5, l: 1}. What is prob of sequence tetl?
1/8190
What is prob of sequence iigg when four letters picked without replacement from ggggigigggggiggggggg?
4/285
Four letters picked without replacement from nzzzpzzzzzxzxzzxxzn. What is prob of sequence xnpn?
1/11628
Three letters picked without replacement from hhwhtiwwwwgte. Give prob of sequence twg.
5/858
What is prob of sequence llvv when four letters picked without replacement from {l: 3, v: 1}?
0
Three letters picked without replacement from ksskkkskkkkkse. Give prob of sequence kke.
3/91
Calculate prob of sequence prp when three letters picked without replacement from pppppppppprpppp.
1/15
What is prob of sequence ssj when three letters picked without replacement from saajsasj?
1/28
Calculate prob of sequence kkh when three letters picked without replacement from gskhk.
1/30
Two lett | {
"pile_set_name": "DM Mathematics"
} |
- 12.488. Let g = 261 - 243. Let b = y + g. Round b to the nearest integer.
6
Let m = -699866621.180319344 - -699866616. Let l = -449.180359944 - m. Let c = l + 444. Round c to five decimal places.
-0.00004
Let n = -4065145473.405175002 + -0.594824998. Let a = n + 4065145301.7000711. Let s = a - -172.3. Round s to 5 dps.
0.00007
Let u = -0.4396 + -0.4984. Let d = 117 + -117.122. Let s = u + d. What is s rounded to the nearest integer?
-1
Let x = 0.022688 + 0.31525. Round x to two decimal places.
0.34
Suppose 5*b = 2*r + 138405, 5*r + 6*b - 3*b = -345935. What is r rounded to the nearest ten thousand?
-70000
Let y(n) = -3*n + 18. Let l be y(7). Let p = 8 + l. Suppose p*u - 23 + 145 = -4*a, 25 = -u - a. Round u to the nearest ten.
-20
Suppose -9*x + 145 = 28. Suppose x*h - 18*h - 3500 = 0. What is h rounded to the nearest one thousand?
-1000
Suppose 214624 + 1115926 = -38*k - 808850. Round k to the nearest one hundred.
-56300
Let y = 5397.1 - 5968. Round y to the nearest one hundred.
-600
Let o = -137840 - 493360. Round o to the nearest ten thousand.
-630000
Let d = 16112957507 - 16112957498.909999499. Let q = d - 8.09. Round q to 7 decimal places.
0.0000005
Let m = -6103 - -6103.0000017455. Round m to 7 dps.
0.0000017
Let w = 18.8964806 + -18.893. What is w rounded to 5 dps?
0.00348
Let w(o) = 523*o**2 + 36*o + 76. Suppose 0 = -7*b - 7 + 161. Let r be w(b). Round r to the nearest ten thousand.
250000
Let y(d) = 1588*d**3 - 6*d**2 + 5*d + 1. Let l(p) = p**3 - p**2 + p. Let g(z) = -4*l(z) + y(z). Let i be g(1). Let c = -3016 - i. Round c to the nearest 1000.
-5000
Suppose 0 = 4*s + 282 + 274. Suppose -42 = -u - 4*c, u - 86 = -2*u - 4*c. Let f = u + s. Round f to the nearest 10.
-120
Let s = 6367 + -4328.6. Round s to the nearest ten.
2040
Let l = -0.136 - 175.864. Let u = -177.41 - l. Let n = 0.44 + u. What is n rounded to one dp?
-1
Let v = -138.63 + 138.62946042. What is v rounded to 4 decimal places?
-0.0005
Let o = 34710 - 34709.99999904956. What is o rounded to seven dps?
0.000001
Let v = -5317.94562 + 5318. Round v to 3 dps.
0.054
Let w = -20.58 - -19.9. Let x = 0.6667 + w. What is x rounded to three dps?
-0.013
Let x = -302321.3524 - -302230. Let d = -91.2 - x. Round d to 2 dps.
0.15
Let y = -16 + 50. Let t = -28 + y. Let r = -5.99999997 + t. What is r rounded to 7 dps?
0
Let i = -88738.9944 + 88774. Let u = -6.9 - -41.9. Let f = i - u. Round f to three decimal places.
0.006
Suppose 5568774 = -p - 57226. What is p rounded to the nearest 100000?
-5600000
Let i = 13980523.00572 - 13981075. Let l = i + 552. What is l rounded to 4 dps?
0.0057
Let u = -1217.525 - -0.525. Let q = u - -1226.43. Round q to 0 dps.
9
Let l = 314.28 + -296. Let x = l + -32.6. What is x rounded to the nearest integer?
-14
Suppose -16*c - 7*c + 32*c = 84105. Round c to the nearest 1000.
9000
Let r(t) = 22315*t**2. Let k be r(-2). Let a = 97760 - 48054. Suppose -n - 3*d = -a, -10132 - k = -2*n + 4*d. What is n rounded to the nearest 10000?
50000
Let s = 3120.864 + -3188. Let l = -0.036 - s. What is l rounded to the nearest integer?
67
Let y = -91.15444103 + 91.155. Round y to 5 decimal places.
0.00056
Let v = 96491764 - 96491764.079301009. Let j = -0.0793 - v. Round j to 7 dps.
0.000001
Suppose -147 = 7*q - 483. Let j = q + 13. Suppose 3*n + 2*l - 184 = 7, -j = -n - 2*l. What is n rounded to the nearest 10?
70
Let i = 562 - 561.9048. Let c = -0.095198985 + i. Round c to 7 dps.
0.000001
Let z = 5901 - 5901.062248. What is z rounded to four decimal places?
-0.0622
Let a = 10703527461 - 10703527523.99999999. Let m = 61.6 - -1.4. Let t = a + m. Round t to seven dps.
0
Let y = -0.1180845 - -0.11851. What is y rounded to 6 decimal places?
0.000426
Let g be -500*(-240)/(-540)*65034/4. What is g rounded to the nearest 100000?
-3600000
Let g = -3710.767 - -3728.9. Round g to zero dps.
18
Let x(r) = 30*r**2 - 8*r + 51. Let v be x(16). What is v rounded to the nearest 100?
7600
Suppose 126*b = 75*b + 337288500. What is b rounded to the nearest ten thousand?
6610000
Let h = -1651.3539 + 0.3539. Let z = h + 1650.99997723. What is z rounded to six decimal places?
-0.000023
Let i = 263171218.00839 - 263172307. Let t = 1089 + i. Round t to three decimal places.
0.008
Suppose 24*u = 157*u - 208810000. Round u to the nearest one million.
2000000
Let k be ((-8213220)/(-270))/(3/(-90)). What is k rounded to the nearest ten thousand?
-910000
Let c = -467540097348.17 + 467559817117.769649. Let b = -19719160.6 + c. Let m = 609 - b. Round m to 5 decimal places.
0.00035
Let f(t) = -31*t + 11. Let n(x) = 1. Let m(y) = f(y) - 6*n(y). Let v = -234 + 237. Let w be m(v). Round w to the nearest ten.
-90
Let f = 20488067 + -20487794.99758. Let a = -824 + 552. Let v = a + f. What is v rounded to 3 decimal places?
0.002
Let b = 634.9623 - 635. Let q = -22.8623 + b. What is q rounded to the nearest integer?
-23
Let u be 3/5 - (-24)/10. Suppose -4*q + u*q + p = -6970006, 0 = -2*q - 5*p + 13939984. Let w be q/17 - (-8)/(-68). Round w to the nearest 100000.
400000
Let g = 6.7372 - 23.09. Round g to zero decimal places.
-16
Let n = -1941821 + 2739522. Let i = n - 375701. What is i rounded to the nearest 100000?
400000
Let r = 9.96662 + -10.12. Round r to 3 dps.
-0.153
Suppose -27*o - 80205937 + 1205723769 = 77080832. What is o rounded to the nearest one hundred thousand?
38800000
Let c = -6.60962 - 1154.62638. Let x = c + 1161.7059749. Let r = 0.47 - x. What is r rounded to 6 decimal places?
0.000025
Let y(p) = 2*p + 47. Let j = 76 + -98. Let t be y(j). Suppose -u = t*u + 136000. Round u to the nearest 10000.
-30000
Let z = 119.096 + -120. Let d = z + 0.9039114. What is d rounded to 6 dps?
-0.000089
Let j = 1173370.9084 - 1172795. Let m = j - 576. Round m to 2 dps.
-0.09
Let l = -25390 + 25390.0032566. What is l rounded to four decimal places?
0.0033
Let o = 1824.50261 - 0.00261. What is o rounded to the nearest one thousand?
2000
Let j(d) = 2*d**3 - 67*d**2 - 34*d + 22. Let h be j(34). Let o be 1212199996/h - -2*2/22. Round o to the nearest 1000000.
55000000
Suppose 0 = v - x - 1845993, 5*v = 72*x - 77*x + 9230035. What is v rounded to the nearest one hundred thousand?
1800000
Let j = -761 + 539. Let o = -16691.7107533 + 16469.71074. Let x = j - o. What is x rounded to 6 dps?
0.000013
Let l(f) = -f**3 - 26*f**2 - 27*f - 51. Let i be l(-25). Let q be (7 - 2) + i - 248004. What is q rounded to the nearest ten thousand?
-250000
Let a(u) = 44*u**2 - 15*u + 29. Let t be a(8). Let v be (t*-6*2)/(39/(-130)). What is v rounded to the nearest 10000?
110000
Let x = 1.3736 + 640.5264. What is x rounded to the nearest 100?
600
Let l = 8089.0042992 + -8089. What is l rounded to 4 dps?
0.0043
Let r = 1578 + -305. Let n = -1273.003004 + r. What is n rounded to four decimal places?
-0.003
Let o = 2.01 + -2. Let a = 1961.1099992 + -1961.1. Let m = a - o. Round m to 6 decimal places.
-0.000001
Let h = 87.963 + -88. Let m = 4.237 + h. Let i = 4.2034 - m. What is i rounded to 3 decimal places?
0.003
Suppose 0*p - 4*p = -p. Suppose 2*a + 6 = 0, -3*a - 3269 = -p*t + 2*t. Round t to the nearest 1000.
-2000
Let n = 77 - 40. Let s = 37.04 - n. Let c = s + -0.04058. Round c to 4 dps.
-0.0006
Let n = -5710.9999983252 + 5711. Round n to 7 decimal places.
0.0000017
Let g = 3956.1 - 4135.83. Round g to the nearest ten.
-180
Let n = 0.22713 + 410.01287. Let k = n + -403. What is k rounded to 1 dp?
7.2
Let i = 20 + -18. Suppose -620 = 3*d + i*j - j, 0 = -d - 3*j - 204. Let b be d/(-23)*74/6. What is b rounded to the nearest 10?
110
Let o(m) = -m**2 - 33*m - 12. Suppose -12*b + 0*b - 84 = 0. Let d be o(b). What is d rounded to the nearest one hundred?
200
Suppose i = -4*q + 10850037, -4*i + 31631886 + 11768229 = 5*q. Suppose -p - 5*x = -i, x = 1 + 4. Round p to the nearest 1000000.
11000000
Suppose 2*a - 339588 = -5*x, 5*a + 2*x - 7*x = 848970. Suppose -133861 = 4*m - 5*i - 473446, 2*i + a = 2*m. What is m rounded to the nearest 10000?
80000
Suppose 1412350 = -3*b + 5*q, 885455 = -3*b - 5*q - 526935. Round b to the nearest one hundred thousand.
-500000
Let c = -19286 + 74220. Round c to the nearest 100.
54900
Let h = 136.3314 - 0.3314. Let w = 656359118.9999751 - 656359255. Let r = w + h. Round r to 6 dps.
-0.000025
Let v = -21 + 153. | {
"pile_set_name": "DM Mathematics"
} |
aluate -8 + -19 + 45 + -16 + -2 - -59.
59
29 + -23 + 43 + 31
80
106 - (61 - (16 + -1))
60
What is the value of (-2 - 9) + (-44 + 1 - (-16 - -8 - -15))?
-61
What is 61 - (-64 + (33 + -36 - -31))?
97
-4333 - -4284 - (-1 + -54)
6
What is the value of (71 - 150 - -84) + -2 + 1 + -60?
-56
Evaluate 38 + (-31 - -1) - -22.
30
55 + -43 - (-22 + (-16 - (-16 + 14)))
48
What is the value of -1 + (8 - 2) - (-1 + 74 + (-408 - -393))?
-53
What is -11 + (16 - (7 + (-11 - -14))) - 2?
-7
Calculate 14 - (-79 + -40 + 17 - -26).
90
Calculate (-26 - -31) + (-4 - (6 + 4 + -2)) + -45.
-52
What is the value of 31 + (48 - (62 + -6))?
23
Calculate -27 - ((-1 + -3 - -2) + 14 - (2928 + -2923)).
-34
Calculate (3 - 7 - -5) + (-10 - -17 - (18 - 1)).
-9
Evaluate (-15 - ((3 - -2) + 14)) + -4 + 15.
-23
What is -1 + 73 + (287 + -272 - (28 + -1))?
60
-20 + 8 - ((6 - 83) + 28)
37
-34 - (2 - (107 - (-42 + 72)))
41
(14 + (-21 - 4) - 52) + (12 - -1)
-50
What is 3 + (8 + -17 - -16) - -69 - 16?
63
Evaluate 0 - 165 - (4270 + -4574).
139
Calculate 57 - (9 - 4 - -22) - 36.
-6
Calculate (-28 - 0) + (19 - (-9 + 15) - (18 - 12)).
-21
Calculate 0 + (-50 - -6) - (-191 + 202).
-55
Evaluate 99 + (70 - (-100 + 130)).
139
What is -20 + 2 + 4 + 18 + -2 - -13?
15
What is the value of -24 + 114 - 50 - 53?
-13
What is -59 + (156 - 9 - 72)?
16
-36 - (-46 + 3 + 30) - -44
21
Evaluate 0 - 53 - (-366 - -372) - -18.
-41
Calculate 72 - ((14 - 1) + (0 - (1 + 23 + -6))).
77
-7 + (4 - 1) - (-130 - -79)
47
66 - (89 - (3 - 10))
-30
What is the value of 4 + -18 + 1 - (-175 - -200)?
-38
What is the value of 17 - (-7 + 109 - 5)?
-80
-1 + 12 + 6 + 31 + -66 + 78
60
What is (-53 - -56) + -63 + 31?
-29
Calculate 1 + -1 - (26 + -47 + 11) - 0 - 32.
-22
What is the value of -69 - (-23 + (38 - (-10 - -6 - -26)))?
-62
What is (-25 - (-27 + (-22 - (0 + -9)))) + -22?
-7
What is the value of 23 - (83 + -28) - -6 - -85?
59
What is (-6 + 14 - (14 - 6)) + -42 + -12 - 8?
-62
-6 + (2 - 1) + -328 + 314 - -69
50
What is the value of (2 - 51) + (220 - 211) + (17 - -1)?
-22
Calculate 10 - (-12 + -2 + 0 - (-147 - -124)).
1
What is 25 - (3 + -1 - (-69 - -103))?
57
What is the value of 211 + -26 + (-776 - -665)?
74
Evaluate (-57 - 0) + (52 - 15) + -23.
-43
Calculate 1 + (0 - -19) + -458 + (752 - 223).
91
Evaluate -2 + 25 + (25 - 20 - 3).
25
Evaluate -304 - -349 - (0 + 11 + 0).
34
What is (-14 - -46) + 98 + (-62 - -29)?
97
What is -5 + (-13 - 9) - (-7 - (4 - (-3 - -4)))?
-17
Evaluate (-1 - -6 - -6) + (360 - 360).
11
What is the value of -31 - (-90 + 52) - -38?
45
What is -47 - -17 - 37 - -47?
-20
(12 + -22 - -19) + (-8 - (-1 + 4)) - -52
50
What is (-87 - -248 - 243) + -29?
-111
2 + 2 + -81 + -181 + 207
-51
What is the value of -7 + -5 + 25 + 6?
19
What is (-104 - (18 + -124)) + 59?
61
Evaluate -22 + (71 - (16 - -9 - 13)).
37
-5 + (64 + -2 - (5 + -16 + -1 + 12))
57
What is the value of 2 + -4 + 2 - -6 - (77 + -56 + -3)?
-12
What is the value of (-4 - ((3 - 20) + -1 + 34)) + 24?
4
Evaluate (-32 - (-50 + 21)) + -15 - 43.
-61
What is (-5 - (-26 - -29)) + (4 - 45 - 3)?
-52
Calculate -11 - (-18 + (-9 - -14 - -3 - 59)).
58
23 - (23 + -6 + 10 + -42)
38
(-28 - (128 + -131)) + 73 + -1
47
What is the value of (2726 - 2811) + (1 - -40)?
-44
Calculate (4 - 6 - 7) + -17 - -57.
31
61 - ((-11 - (14 + -11)) + 28) - 15
32
What is (20 - (3 - 13)) + -64 + 67?
33
Evaluate 7 - 65 - (-38 + 2 - -17).
-39
What is the value of 4 - 8 - (8 + 9 - 4 - (3 - -26))?
12
Calculate (2 - 8) + (4 - 3) - (36 + 9).
-50
Evaluate -1067 + 1061 + (4 + -8 + 4 - -3 - -124).
121
What is 33 + -28 + -15 + 18 - (-65 + 0)?
73
Calculate -56 + 194 + -73 + 5.
70
(-1 - -120 - 2) + (-1911 - -1930) - (10 + 0)
126
3 + -10 + (-53 - -63) + -58
-55
Evaluate -71 - (-28 + 7 + 14) - -7.
-57
Calculate (10 - 144) + 9 + -10 + (-34 - -43).
-126
-8 + (8 - (-9 + 12)) - 26
-29
Calculate -4 - (5 - (5 + 1)) - (-2 + -44 + -1).
44
Evaluate (166 - (141 - -28)) + 2 + (1 - -75 - 0).
75
What is the value of -55 + -9 + (42 - -1)?
-21
Calculate -38 + -45 + (142 - 78) - (7 - 1).
-25
2345 + -2346 - (1 - -92)
-94
What is the value of -123 + 0 - (12299 - 12346)?
-76
Evaluate 1 + -1 + -56 - (-40 + 25 + 5).
-46
111 - (-34 - -98) - 18
29
What is 45 + -53 + -7 + 64?
49
Evaluate -2 - 8 - (7 + -6) - (-94 + 50).
33
Calculate -863 + 856 + (-1 + 1 - (1 - 4) - -42).
38
Evaluate -19 + -21 + (9 - -35).
4
What is the value of (107 - (13 + (8 - 12)) - (28 - 16)) + 2?
88
Evaluate -168 + -15 - (-483 + 357).
-57
-42 + 47 - (3 + -35 - (9 - 4))
42
What is the value of 188 - (381 - 330 - (-1 - -18))?
154
What is the value of -6 + (-4 + -29 + 22 - -11)?
-6
Calculate -62 + (-17 - (-24 - (0 + 6 + (-59 - -42)))).
-66
Evaluate -13 - (-28 + -1 + 8) - -74 - -7.
89
What is the value of (-14 + 14 - -4) + 9 + 15?
28
What is the value of 43 + (-25 - (29 - 35))?
24
What is (-9 - (-1 + 8 - (-13 - -32))) + -2 + 121?
122
What is 7 - (-7 + ((-10 - -22) + 2 + 7 - 9))?
2
Calculate -6 + -28 - -34 - -13.
13
What is the value of 8 - (-16 + 40 - 35)?
19
What is (6 - (0 + -36 + 17)) + 21?
46
Evaluate (256 - 259) + (5 + 14 - 0).
16
-54 + 130 + 55 + -106
25
What is the value of -5 - -31 - -8 - 17?
17
-1064 + 1086 + (-1 + -2 - -21)
40
Evaluate (8 + 2 - (0 - -1)) + (-9 - (-70 + 15)).
55
(35 + -2 - 90) + 85
28
What is the value of (-23 - -17) + (-3 - -10 - (1 - -3)) + 23?
20
What is the value of (16 - 43) + 15 + 49?
37
2 + (2 - 9) + (16 - (26 - (1 + 28)))
14
Calculate 9 + (-10 + 3 - ((-8 - -11) + 8)).
-9
Evaluate -109 + (-13 - (-17 - -2)).
-107
What is 35 + 12 + 18 + 8 + -5?
68
Calculate 89 - (106 + -19) - (-7 + -1 - 2).
12
Evaluate 4 + -12 + -1 + 24.
15
What is 25 + (-128 - (-3 - (20 + -13) - -23))?
-116
Calculate -12 - -17 - -16 - (-87 + 114).
-6
Calculate 2 - (-142 + (-2 - (-32 - -2))).
116
What is the value of (7 - (1 + 5 + -10)) + 9 + 0 + 0?
20
Evaluate (31 + 2 - 40) + -1 + -36 + (-2 - -11).
-35
What is -6 + 25 + -11 - (9 + (-3 - -8 - 88))?
82
What is -124 + (109 - (11 + -87))?
61
Calculate -25 + 21 + -10 + (-20 - 2).
-36
Evaluate (-163 - (101 + -178)) + 135.
49
What is (6 - (-2 + -6)) + (1 - 44)?
-29
What is 159 - (-72 - -127 - 20)?
124
Evaluate -5 + -4 + (-1227 - -1276).
40
Evaluate -138 + (-85 - -26) - -67.
-130
-14 - 2 - -40 - 14 - (-8 + 5 + -34)
47
What is (-6 - -81) + -118 + 36?
-7
What is 146 + -154 - (-33 + -5)?
30
Calculate -4226 - -4352 - (-2 + 18 + (1 - -1)).
108
What is the value of (5 - (6 + 39 + -18) - -11) + (133 - 0)?
122
Evaluate 133 + -234 - (7 + (-57 - -10)).
-61
48 + (-32 - -12) + (30 - 35)
23
Evaluate ((17 - -4) + -2 - (25 - 7)) + 40.
41
-2 + -14 - (28 - 7)
-37
Evaluate 4 + (-32 + -3 + -16 - -4).
-43
What is (53 + (21 - 33) - 23) + 4 + 2?
24
What is the value of -38 - -155 - (58 - 3)?
62
What is -29 - -78 - 58 - 2?
-11
What is the value of -3 + 2 - 3 - 5 - (-44 - 54)?
89
1339 + -1379 + -1 + 25
-16
-2 - ((-7 - -19 - 0) + (-55 - -2))
39
Calculate -264 - -317 - (19 + -18 - (-2 - 6)).
44
What is (-65 - -114) + -121 + 63?
-9
What is 6 + -11 + (-8 + 12 - 7) - 0?
-8
What is the value of 51 - ((3 - -47) + (-57 - -30))?
28
What is -101 - (14 + 12 + (-34 - 0))?
-93
Evaluate 0 + -9 + (-4 - 9 - 31 - (-80 + 90)).
-63
What is (46 - (121 + -65)) + (-1 - (0 - -3)) + 53?
39
-23 - ((-18 - (18 - 14)) + 22)
-23
What is the value of (11 + 12 - 10) + (3 - (13 + -2))?
5
What is the value of (-19 + (6 + 0 - 3) - -12) + 38?
34
Evaluate (-89 - -126) + 16 + -78.
-25
What is -636 + 695 - (-61 + 17)?
103
What is the value of (-83 - 74) + 135 + -4 + (1 - -59)?
34
What is 3 + (5 + 8 - (2 + 15)) + 38?
37
Calculate 7 + -19 + (5 - (-18 + 19 - (-8 + 1))).
-15
Calculate 10 + -7 + 4 + (-6 - 13 - -16).
4
3 + -1 + 1 + -3 + -1 + 41
40
What is -36 - (-2 + -20 + 40 + -37)?
-17
Evaluate -1 - ((-13 + 24 - 10) + -14 - 34).
46
Evaluate (-47 + 33 - 11) + -8.
-33
What is (0 - -40) + 14 - (4 - (3 + -1 + -3))?
49
What is 0 - -16 - (-23 + 0 + -23)?
62
-46 - 34 - -57 - -71
48
29 - (4 - -1 - (134 + -133))
25
-9 + (-3 - (3 - 19)) - -14
18
What is -61 + (22 + -5 - 8 - 19 - (4 + -2))?
-73
What is (-9 - (-51 - -7) - -3) + 4 + -1 + 2?
43
Calculate 47 + 90 - (117 - 38).
58
What is the value of -11 + 4 + 43 + 24 - 11?
49
Calculate (-2 - (-3 + 12 - (14 - 9))) + 50.
44
What is -2784 + 2798 - (-2 + 1 + 5)?
10
Calculate 17 + 2 + -4 + (-200 - -188).
3
What is the value of -1 + 54 + (14 - (-14 - (20 - 7 - | {
"pile_set_name": "DM Mathematics"
} |
5
What is (233/10252)/((-1)/(-12))?
3/11
((-2)/(-6))/(6*(-9)/162)
-1
Calculate 2/4*((-66)/(-9))/(-11).
-1/3
What is 3*((-66)/(-9))/(-11)?
-2
What is 1/(4/(-8)*-13)?
2/13
What is (-8)/(-54)*(-108)/(-72)?
2/9
What is ((-22)/(-77))/((-5)/(-105))?
6
Evaluate (-6)/4*3/((-72)/(-16)).
-1
What is the value of 0*-5*5/25?
0
What is the value of (-1)/2*0/(-13)?
0
Evaluate ((-210)/175)/((-3)/10).
4
What is (-9)/(-15)*(-6)/(-54)*-2?
-2/15
What is 33/(-88)*(-24)/54?
1/6
Calculate (-18)/150*-15*10/(-21).
-6/7
What is (1/65*-4)/((-52)/(-130))?
-2/13
What is 65/(-195)*90/3?
-10
(-5)/((-10)/2)*3
3
Calculate (-2)/8*(-64)/(-40).
-2/5
What is the value of 9/(-3)*(-28)/315*3?
4/5
Evaluate (76/38)/((-4)/(-10)).
5
Calculate ((-2)/5*-3)/((-1)/5).
-6
Evaluate (2/4)/((-235)/94).
-1/5
What is the value of (-2)/15*(400/15)/8?
-4/9
Evaluate 3/1*(-2)/6.
-1
3*(16/(-6))/(-8)
1
Evaluate ((-2)/3)/(496/(-93)).
1/8
Calculate (-22)/33*189/(-14).
9
What is (-5)/(((-6)/(-8))/(189/(-210)))?
6
What is (15/18)/(-1)*3/20?
-1/8
What is the value of ((-4)/(-10))/(7/(-35))?
-2
What is the value of -8*14/84*3/(-22)?
2/11
What is 3/(30/(-4))*250/25?
-4
What is the value of (17/(-68))/(2/(-24))?
3
(((-27)/(-9))/(-15))/(-1)
1/5
Calculate 28/(-10)*(-25)/40.
7/4
What is (-16)/7*-7*28/56?
8
((-195)/(-650))/(12/(-10))
-1/4
What is the value of (3/(-2))/((-42)/140)?
5
Calculate ((-1)/(9/(-12)))/((-6)/(-27)).
6
What is 3*5/(-45)*-3?
1
Calculate (-4)/4*(-10)/(-2).
-5
Calculate ((-10)/5*1)/(-9).
2/9
-3*-1*6/(-54)*-18
6
What is ((-6)/2)/(-36)*(-160)/120?
-1/9
Evaluate -10*(-5)/(-30)*(-3)/(-1).
-5
What is the value of (-2)/3*(-12)/(-20)?
-2/5
What is the value of ((-3)/(-153))/((-3)/18)?
-2/17
What is 18/36*8/14?
2/7
Evaluate (-34)/(-170)*6/3.
2/5
(((-175)/(-14))/(-5))/((-3)/(-6))
-5
Calculate (-1)/2*32/(-2).
8
Calculate (((-6)/(-4))/1)/((-567)/(-1890)).
5
What is the value of (-12)/(-12)*(-10)/45*-3?
2/3
((-2)/(-3))/(6/(-54))
-6
What is ((-13)/130)/(1/(-15))?
3/2
Evaluate (-6)/(-21)*9/((-45)/10).
-4/7
What is the value of (((-2)/(-3))/(-2))/(76/24)?
-2/19
What is ((-6)/((-18)/(-24)*-2))/(-3)?
-4/3
Calculate 15/42*52/(-65).
-2/7
Evaluate 1*((-13)/52)/((-1)/12).
3
What is 4/49*(-70)/60?
-2/21
What is (28/(-48))/(-7)*4/(-2)?
-1/6
What is ((-32)/56)/(24/(-12))?
2/7
((-9)/(-45)*20)/((-2)/1)
-2
Calculate 16/12*90/24.
5
(((-10)/16)/(-1))/((-265)/(-318))
3/4
What is ((-2)/(-2))/(21/(-63))?
-3
Evaluate 2*(14/4)/(-7).
-1
Calculate ((-3)/(-3))/(2/4).
2
What is the value of 3/(-4*5/40*-3)?
2
Evaluate (-2)/(40/(-6))*8/6.
2/5
What is the value of 18/27*3/1?
2
2/((-12)/5)*54/(-120)
3/8
Evaluate (-1)/((21/3)/28).
-4
Calculate (6/(-8))/((-36)/(-24)).
-1/2
What is ((-204)/357)/(10/28)?
-8/5
Calculate (-216)/96*(32/3)/4.
-6
Calculate 6*5/105*(-14)/16.
-1/4
What is 14/(-4)*(-28)/(-14)?
-7
Evaluate 4/(-14)*56/64.
-1/4
(-2)/((-8)/30)*(-2)/3
-5
Calculate ((-18)/(-15))/(11/(110/(-3))).
-4
Calculate (0/(-1)*15/30)/3.
0
What is ((-189)/(-36))/(-21)*2*1?
-1/2
What is the value of ((-3)/5)/(16/20)*4?
-3
Calculate (-1)/((-3)/(-9)*15).
-1/5
Evaluate ((-16)/28)/((-20)/(-70)).
-2
What is the value of (8*(-6)/(-72)*3)/(-6)?
-1/3
What is 6/36*21*(-12)/(-21)?
2
Calculate (-3*5/30)/(4/(-40)).
5
Evaluate (50/(-35))/5*(-7)/(-15).
-2/15
What is the value of ((-3290)/(-60))/(-47)*(-6)/14?
1/2
What is the value of (-8)/(-28)*7/(-3)?
-2/3
6*((-18)/(-9))/(-4)
-3
What is the value of (-18)/(-8)*(-4)/(-1)?
9
((-7)/((-28)/6))/(-3*3)
-1/6
What is the value of 45/(-25)*(-5)/3?
3
Calculate ((-4)/(-6))/((-5)/15).
-2
Evaluate ((-22)/66)/((-34)/12).
2/17
Evaluate (-6)/(-3)*-2*25/(-300).
1/3
What is ((-3)/(6/(-28)))/((-18)/(-9))?
7
(((-2)/1)/(-8))/(53/212)
1
What is (-22*2/(-77))/((-12)/14)?
-2/3
(0*(-3)/(6/(-2)))/(-2)
0
Calculate ((18/9)/(-6))/(-3).
1/9
(64/360)/(-2)*5/6
-2/27
Calculate (12/(-21))/(2/(-7)).
2
What is the value of 4/(-2)*1*9/(-6)?
3
((-3)/(-12))/(1/(-8)*2)
-1
Evaluate 12/20*1/1.
3/5
What is (-3)/9*2*-1?
2/3
What is 5/10*(-10)/5?
-1
(-20)/345*12/(-8)
2/23
Evaluate 6/68*((-308)/(-33))/7.
2/17
124/93*(-3)/((-2)/(-2))
-4
(-10)/18*27/(-45)
1/3
What is 0*(-1)/((-8)/(-4))?
0
Evaluate 2*45/(-162)*2/5.
-2/9
Evaluate (2/(-3))/(1*(-4)/(-3)).
-1/2
1/((((-108)/(-8))/9)/(-6))
-4
What is the value of 3/(-15)*((-40)/(-6))/4?
-1/3
Evaluate (20/15)/((-12)/(-9)).
1
(15/81)/(125/(-150))
-2/9
Evaluate ((-42)/147)/((-8)/140).
5
What is the value of ((-160)/(-6))/10*12/(-16)?
-2
15/(-6)*4/(-2)
5
What is (32/(-24)*6/2)/(-1)?
4
What is (18/12)/1*1/3?
1/2
What is the value of ((-3)/6)/(5/4)?
-2/5
What is (-2)/(-12)*((-30)/(-4))/(-5)?
-1/4
Calculate (32/120)/((-4)/10).
-2/3
Calculate (6/(-15))/(-4*3/30).
1
What is ((270/20)/9)/(15/4)?
2/5
Evaluate (((-4)/(-3))/(-2))/(2/(-12)).
4
Calculate 1488/620*(-10)/(-4).
6
What is (-145)/29*((-6)/65)/3?
2/13
What is the value of -1*(16/8)/(-4)?
1/2
Evaluate -1*(-14)/(-7)*4/(-10).
4/5
94/(-329)*(-7)/29
2/29
Calculate (-2*12/176)/(6/(-8)).
2/11
Calculate (-1)/(-5)*(-1400)/210.
-4/3
What is ((-22)/60)/(-11)*18?
3/5
What is the value of (-196)/(-147)*(6/(-20))/(-3)?
2/15
Evaluate ((-3)/6*-3)/((-12)/1).
-1/8
Calculate (15/(-24))/5*12/(-2).
3/4
(-11)/11*10/(-2)
5
Evaluate (-5)/(-150)*-1*10/4.
-1/12
What is (3/3*-5)/(-1)?
5
Calculate 504/(-336)*1/3*-4.
2
Calculate ((-1)/(-3))/((-49)/(-21)).
1/7
Calculate ((-6)/72*4)/((-2)/3).
1/2
Evaluate (18/(-81))/((-1)/((-1)/(-1))).
2/9
(((-33)/6)/11)/(2/(-12))
3
Calculate (((-4)/2)/(-4))/((-30)/(-15)).
1/4
Calculate ((24/(-9))/(-2))/(4/6).
2
What is the value of (-8)/4*8/(-8)?
2
What is the value of 1*1/21*3?
1/7
What is the value of (5*8/20)/(63/21)?
2/3
What is the value of (((-336)/(-20))/(-7))/((-62)/155)?
6
(30/40)/((-126)/48)
-2/7
What is (((-12)/81)/4)/(7/21)?
-1/9
(4*2/8)/(-1)
-1
Evaluate (-2)/(-4)*3*664/(-249).
-4
What is the value of (-2)/(4/(-18))*(-16)/16?
-9
What is (-40)/32*18/(-5)?
9/2
What is the value of ((-34)/170)/(12/(-15))?
1/4
Calculate (-90)/(-255)*2/(-6).
-2/17
What is the value of 10/(-18)*((-390)/(-100))/13?
-1/6
What is the value of (-27)/6*13/(351/36)?
-6
What is the value of (-1)/((-3)/6)*(-21)/14?
-3
(4/((-24)/30))/1
-5
Calculate 1/(6/(-288)*6).
-8
Evaluate 21/28*8*(-2)/(-6).
2
Calculate ((-5)/4)/((-2860)/416).
2/11
Calculate 3*((-16)/12)/1.
-4
((-12)/(-10))/((-8)/60*-21)
3/7
Calculate (18/4)/((-630)/(-280)).
2
Evaluate (12/6)/((-4)/1).
-1/2
What is ((-30)/(-18))/(8/(-24))?
-5
What is the value of (-295)/(-118)*(-8)/(-50)?
2/5
-7*50/(-5)*(-4)/28
-10
((-4)/(-18))/(87/2349)
6
What is the value of 1/((-1)/((-9)/(-3)))?
-3
(-3)/(12/(-10))*8/(-30)
-2/3
What is (1*-3)/(65/(-13))?
3/5
((-30)/8)/(-5)*48/90
2/5
Calculate ((-7)/42)/((-5)/10).
1/3
What is the value of 112/(-28)*14/8?
-7
Calculate (4/(-3))/(132/198).
-2
Calculate 4*7/(-308)*(-2)/(-1).
-2/11
Calculate (-12)/8*9/6*-4.
9
Evaluate 92/(-1265)*(-2)/(-4)*-5.
2/11
(-6)/(-1)*9/((-243)/(-18))
4
What is the value of (415/(-2324))/(10/(-7))?
1/8
What is the value of (-40)/(-90)*(-36)/(-40)?
2/5
(-2)/(-1)*3*(-4)/12
-2
Calculate (3/(-6)*10)/1.
-5
Calculate (-15)/(-110)*(-24)/(-18).
2/11
Calculate (6/(-10))/((-8)/10)*-2.
-3/2
What is the value of 11*(-10)/(-220)*-8?
-4
Evaluate (-135)/(-81)*6/(-2).
-5
Evaluate 3/((-81)/9)*-9.
3
Evaluate 1/(-4)*(-168)/(-6).
-7
What is ((-20)/35)/((-18)/(-63))?
-2
Evaluate (0*(-2)/10)/(-5).
0
Calculate (-12)/16*(-64)/60.
4/5
What is ((-10)/(-6))/(365/(-438))?
-2
Evaluate (-1)/((-12)/8)*(-27)/(-6).
3
Calculate (2/10)/(18/(-15)*-1).
1/6
Evaluate ((-9)/(-27))/(8/6).
1/4
What is the value of 11/(-22)*5/((-45)/(-4))?
-2/9
What is the value of (-5)/((125/10)/25)?
-10
(-6)/1*(-4)/8
3
What is (-6)/8*(280/(-195))/(-7)?
-2/13
Evaluate ((-6)/(-63))/((-3)/(-21)).
2/3
(((-18)/(-10))/3)/(5/25)
3
Calculate ((-804)/(-1005))/((-14)/(-5)).
2/7
What is 30/45*(-6)/10?
-2/5
What is 4/(-20)*5*-1?
1
Evaluate -2*(-5)/(200/(-8)).
-2/5
Evaluate -8*(-2)/(-112)*1.
-1/7
Evaluate ((-6)/15)/(((-6)/15)/(-2)).
-2
What is (32/60)/(14/(-21))?
-4/5
Evaluate ((-4)/(-18))/(17/306).
4
What is (-15)/10*(-1)/18*-15?
-5/4
((-6)/4)/((-36)/40)
5/3
What is ((-2)/(-3))/((-2)/48*-8)?
2
((-70)/(-21))/(4/(-6))
-5
Calculate ((14/(-36))/7)/(17/68).
-2/9
8/(-8)*(-3)/3*-1
-1
Evaluate (-18)/15*(-30)/(-9).
-4
What is the value of -12*(-6)/12*-1?
-6
What is (-9)/42*14/12*3?
-3/4
Calculate 4/20*15/9.
1/3
What is the value of (-4)/(-18)*(-24)/8?
| {
"pile_set_name": "DM Mathematics"
} |
(a) -4 (b) 0 (c) x
b
Let w = 0.089 - -0.411. Let a = -2 + 1.5. Let y = a - -0.1. What is the nearest to 0 in 5, y, w?
y
Let d be 2 + -1 - (1 - (2 + -1)). Which is the closest to d? (a) -0.4 (b) 2 (c) 8/7
c
Let x = 8 + -7. Let l = 0.17 - 0.05. Let y = l + 0.08. What is the closest to 2 in x, y, 5?
x
Let t = 7.7 - 7.8. Let d = 12 + -12.5. What is the closest to t in -5, -2, d?
d
Let p be -2 - ((-16)/4 - 0). Suppose 4*y + 6 = -p. What is the nearest to -0.2 in 4/7, 2, y?
4/7
Let g(b) = 85*b**3 - b**2 + 2*b. Let w be g(1). Let c = 431/5 - w. What is the nearest to 0.1 in -1/3, c, -4?
c
Let t = 31 + -125. Let f = 375/4 + t. Which is the closest to 2/15? (a) f (b) 0 (c) 7
b
Suppose -5*g + 12 = -3*f, g + 9 = -5*f - 11. Let s be (-5 - -2)*(-6 - 2). Let y be 16/s*3/8. Which is the closest to g? (a) -0.4 (b) -1 (c) y
c
Let j = 0.1 + 0.1. Let p = 3.41 - 2.91. What is the closest to 4 in j, 0.4, p?
p
Let q = -18 + 17. What is the nearest to q in -0.2, -34, 2?
-0.2
Let y = 175/2 - 88. Let q = -23/4 + 6. Which is the closest to q? (a) 0 (b) -1/9 (c) y
a
Let s = -97.2 + 98.2. Which is the nearest to s? (a) -0.3 (b) -1/5 (c) -3
b
Let p = -3.4 - -3.9. Let v = -1.9 + 3.9. Let q = 328/5 + -66. What is the closest to q in 3, v, p?
p
Let j = 202 + -201. What is the nearest to -0.2 in j, 2/9, 0.5?
2/9
Let x = 10 - 6. Let f be -9 + x + 2 + 2. Which is the closest to f? (a) 5 (b) -0.1 (c) -0.4
c
Let q = 0.59 - -2.41. Which is the nearest to 2? (a) 15 (b) -2 (c) q
c
Let i = -145 + 159. Which is the closest to -1/5? (a) i (b) -1 (c) -0.5
c
Let c = 0.89 - -2.41. Let b = 5.3 - c. What is the nearest to 12 in b, -1, 5?
5
Let r = -0.06 - 0.44. Which is the nearest to r? (a) -0.2 (b) 0.5 (c) 0 (d) 0.4
a
Let o = 181.26 + 19.14. Let y = o + -200. Let i = 1.5 + -2. Which is the closest to -2/7? (a) y (b) i (c) 3/5
b
Let s = 0.4 + 1. Let d = s - 0.4. Let u = -4.28 - -0.28. Which is the closest to d? (a) 0.1 (b) u (c) 1/4
c
Let z be 6 + -4 + 4017/(-9). Let l = 456 + z. Let i = l + -12. What is the nearest to i in -3, -2, 0.5?
0.5
Let d = -13 - -15. Let z = -0.07 + 3.07. Let k = z + d. Which is the nearest to 1? (a) k (b) -3/2 (c) -0.05
c
Suppose 3*u + 3*g - 13 = 101, 5*g = 2*u - 62. Let w be (u/(-495))/((-2)/(-5)). Which is the closest to 0.1? (a) w (b) 5 (c) -1/3
a
Let n = 229 + -1141/5. Let t(a) = a + 6. Suppose -i + 2*x = 10, -2*x - 19 = 2*i - 5*x. Let m be t(i). What is the closest to m in 0.5, n, 2?
0.5
Let o be (1 - 2) + 48/80. What is the nearest to -1 in -6, -0.5, o?
-0.5
Let s = -146 + 148. Suppose 0 = 2*u + 3*u - g - 35, g + 11 = 2*u. Which is the closest to 2/3? (a) s (b) u (c) -3/5
c
Let q = -149 - -223. Let y = q + -72. Which is the closest to -3/5? (a) y (b) -0.5 (c) -1/5
b
Suppose -4*v + 2*q + 12 = 0, -v + 6 = v + 5*q. Suppose -4*i = -5*l - 12, -19*i + 5*l - 9 = -22*i. What is the nearest to v in i, -5, -2/5?
i
Let r be (-2)/((60/20)/((-9)/(-24))). Which is the nearest to r? (a) -3 (b) 2/191 (c) -3/7 (d) -2
c
Let k = 56 + -61. Let b = 12.4 - 11. Let g = 1.5 - b. What is the closest to g in -1, -2/13, k?
-2/13
Suppose -g - 2 = -2*q, -3*g - 1 = 3*q - 4. Let j be (-6)/18 - -3*(-35)/(-180). Which is the closest to j? (a) -3 (b) -1/13 (c) q
b
Let p = -0.0641 - -0.0641. Which is the nearest to 2/7? (a) -1 (b) p (c) 1/8 (d) 0.12
c
Let g be 13/(-39) + 13/3. Suppose g - 9 = -w. Let k be (-3)/(-6)*(-3)/2. Which is the closest to -0.5? (a) w (b) 0.5 (c) k
c
Let o = -8.16 + 8. Let a = 4.84 - o. Let k = -0.1 + 0.2. What is the nearest to a in k, -4/3, -2/13?
k
Let v = -0.3586 + -0.0414. Which is the nearest to 1? (a) -5 (b) 0.87 (c) v
b
Let w = -3922/9 + 7853/18. Let m = 1 - 5. What is the closest to 2/7 in -2/7, m, w?
w
Let s be 6/2 - ((-458)/(-154) + 0). What is the closest to s in -2, 1/2, 3/4?
1/2
Let v = -1681/11 - -153. Which is the nearest to -5? (a) v (b) -3/8 (c) 3
b
Let y be 2 - 2 - ((-39)/(-6) + -3). Which is the nearest to -1? (a) -0.4 (b) y (c) -3/5
c
Let w = -287.8 - -325. Let v = w + -37. Which is the closest to 2/7? (a) -2/5 (b) 3 (c) v
c
Let w = 3 + -7. Let g = -20/13 - -232/117. Let j = -3 - -3.2. Which is the nearest to j? (a) g (b) w (c) 0.5
a
Let q = 1773.9 + -1772. Which is the nearest to -3? (a) 0.1 (b) 5 (c) q
a
Let h = 19711/7 + -2816. Which is the nearest to 0.1? (a) -2 (b) 1 (c) -5 (d) h
d
Let q be 74/148*8/22. Let g = -0.2 + 0.3. Which is the nearest to 4? (a) g (b) q (c) 4
c
Let z = -0.1 + 0.69. Let x = 0.29 - z. Which is the closest to -1/4? (a) -2 (b) x (c) 2
b
Let i = -401/520 + -3/104. Let k = 1/118 - 241/590. Let l be (1/(-9))/((-2)/(-4)). Which is the nearest to -1? (a) l (b) i (c) k
b
Suppose -7*c + y = -11*c + 27, -2*y = 2. What is the nearest to -1/7 in c, -2/5, 1?
-2/5
Let f = 13/315 + 10/63. Which is the nearest to 1? (a) 2 (b) -6 (c) f
c
Let z = 8 + 3. Let r = z + -12. What is the nearest to 0.2 in -0.4, 4, r?
-0.4
Let f = -148 + 147.99. Which is the nearest to 3? (a) -0.2 (b) -0.3 (c) -3 (d) f
d
Let g = 0.04 - 2.04. Let w = -165.9 + 166.1. Which is the nearest to -0.1? (a) w (b) -2/9 (c) g
b
Let s = 370 - 366. Which is the nearest to 9? (a) s (b) 3 (c) 0.2 (d) -2
a
Let x = -491 - -504. What is the nearest to 2/3 in x, -1, 0.2?
0.2
Suppose -31*z - 37 = 6*z. What is the nearest to z in 3/4, -1, 7, 0.3?
-1
Let r(f) = -f**2 + 18*f - 31. Let j be r(16). What is the nearest to -2/5 in j, -3, 4?
j
Let u be 2/2 + (-1)/2. Let s = 0.26 + -0.32. Let v = s + 1.06. Which is the closest to v? (a) u (b) 2 (c) -3
a
Suppose -7 = -u - w - 3*w, 2*w = 2. Let i = -1898/5 + 380. What is the nearest to i in 3/4, 0, u?
3/4
Let u = 36.8 - 38. Let g = 0.2 + u. What is the closest to g in -0.4, 1/2, -2/51?
-0.4
Suppose 6*n + p - 9 = 4*n, 3*n - 16 = p. Let f = -26 + 23. Let v be (4 - (-65)/(-15))/(4/f). Which is the closest to 1? (a) v (b) n (c) 0.1
a
Let k = 87 - 90. What is the nearest to 3 in -0.5, 2/3, k?
2/3
Suppose 34*w + 282 = 146. What is the nearest to -0.56 in w, -2, 1/5?
1/5
Let x = -2/1193 - -1217/14316. What is the closest to -1 in 5, -2, -2/3, x?
-2/3
Suppose -l + 0*l - 4 = -3*h, 2*l = 5*h - 8. Suppose g + 4*g - 20 = h. Suppose 3 = g*a + 19. What is the closest to 1 in a, -0.2, 0?
0
Let z be (-11)/(-13) + (-1)/1. Let j = 3381 - 3383. What is the closest to 1 in z, -1, j?
z
Let u = 535 - 539. What is the nearest to -1.2 in -0.3, -5, u?
-0.3
Let v = 0.3186 - 4.3186. Let g = -5.5 + -0.5. Let u = 9 + g. Which is the nearest to 0? (a) v (b) u (c) -0.2
c
Let q = 5/47 - -79/141. Let p be (1 - 2)*(0 + 5). Let w be ((-9)/(-10))/((-156)/130). What is the closest to q in p, -0.4, w?
-0.4
Suppose -8 = 4*o + 4*y + 8, 2*o + 5*y = -2. Let u be o/(-27) - 40/99. Let t = 0.1468 + -0.0468. Which is the nearest to t? (a) u (b) 0 (c) -4
b
Let y = 65 + -194/3. Which is the closest to y? (a) 3/4 (b) -10 (c) -0.1 (d) 3
a
Let r = 1042 - 1040. Which is the closest to -68? (a) -5 (b) 3 (c) 4 (d) r
a
Let u(r) = -r**2 - 3*r - 8. Let t = 14 + -7. Let p be u(t). Let y = p + 236/3. Which is the closest to y? (a) -1 (b) -4/3 (c) 0
c
Let w be (-9)/(-2286)*1*-86. Let j = w + 2/381. What is the closest to -2/3 in j, 0.3, -1/2?
-1/2
Let x = -5128768 - -394848078/77. Let a = -8838/11 - x. Let h = -67 + a. What is the closest to 2 in h, -4, 2?
2
Let a = -570 + 570. What is the nearest to a in -4, 0.3, 1, 2/33?
2/33
Suppose p + 8 + 42 = 2*g, 8 = -4*p. Let k be ((-4)/18)/(g/(-216)). What is the nearest to -12 in k, -1, 3?
-1
Let u = -71.8 + 71.8. Let h = -2 + 6. Which is the closest to -2/5? (a) 5 (b) u (c) h
b
Let d = -0.4513 + -0.0487. Let y = -4.02 - -0.02. Which is the closest to 0? (a) y (b) d (c) 1/9
c
Let h be 36/2 + -6*(-6)/18. Which is the closest to -20? (a) -2/11 (b) -2 (c) h
b
Let k(o) = -22*o + 2. Suppose 1 = -5*b + 6*b. Let x be k(b). Let c be (18/(-24))/((-6)/x). What is the closest to c in 2, 0.4, -0.1?
-0.1
Let l = 28 - 26. Let d = -61/114 - -2/57. What is the closest to 0.3 in l, d, -2/9?
-2/9
Let t = -11 - -40. Let c = t - 34. Let a(j) = -j**3 + 7*j**2 - 7*j + 5. Let i be a(6). What is the closest to i in 2, c, -1/7?
-1/7
Let n = -2.7 - 0.3. Suppose 2*z - 15 = -z. Let b = 5.87 - 6.07. What is the closest to 2/7 in n, z, b?
b
Le | {
"pile_set_name": "DM Mathematics"
} |
lacement from {l: 4, b: 4, c: 2, f: 2, q: 1, j: 6}. Give prob of sequence blf.
16/2907
Calculate prob of sequence uhpu when four letters picked without replacement from pduhduuuu.
5/756
What is prob of sequence itt when three letters picked without replacement from tti?
1/3
What is prob of sequence bcba when four letters picked without replacement from bubaduudddcaddau?
1/7280
Calculate prob of sequence ddkq when four letters picked without replacement from bjbqddckc.
1/1512
Three letters picked without replacement from tjttjtjttjjdt. Give prob of sequence ttd.
7/286
Two letters picked without replacement from jjjjjjjjjkjjjjjjjjk. Give prob of sequence jj.
136/171
Two letters picked without replacement from uxxuu. Give prob of sequence xu.
3/10
Two letters picked without replacement from {b: 1, w: 4, d: 3}. What is prob of sequence db?
3/56
What is prob of sequence uu when two letters picked without replacement from {u: 2, o: 3, a: 2, q: 2, h: 2, t: 1}?
1/66
Three letters picked without replacement from {n: 3, s: 4}. Give prob of sequence sss.
4/35
What is prob of sequence tag when three letters picked without replacement from abgfbabggfgtbf?
1/273
What is prob of sequence dkjd when four letters picked without replacement from {b: 1, k: 1, j: 2, c: 2, d: 2, w: 1}?
1/756
Four letters picked without replacement from crmse. What is prob of sequence rmce?
1/120
Four letters picked without replacement from lloolpoplllf. Give prob of sequence flpp.
1/990
Calculate prob of sequence uo when two letters picked without replacement from tbrtout.
1/42
Four letters picked without replacement from dngneeeenhhhgdgnigeg. What is prob of sequence dede?
1/2907
What is prob of sequence pdpy when four letters picked without replacement from ypppddd?
3/140
Calculate prob of sequence pff when three letters picked without replacement from offofpooopdodfp.
6/455
Calculate prob of sequence ncni when four letters picked without replacement from nnnnnnnncnnnnnncniii.
7/646
Calculate prob of sequence sdwq when four letters picked without replacement from jjtdqjdwjdjtjsdsj.
1/7140
What is prob of sequence affa when four letters picked without replacement from {a: 12, f: 3}?
11/455
Two letters picked without replacement from {i: 7, m: 6, c: 4}. What is prob of sequence mi?
21/136
Four letters picked without replacement from {v: 16, j: 4}. What is prob of sequence vvvj?
112/969
Three letters picked without replacement from {b: 3, s: 1, u: 7, r: 3}. Give prob of sequence brs.
3/728
What is prob of sequence rrr when three letters picked without replacement from {i: 2, r: 4, y: 4}?
1/30
What is prob of sequence rgpr when four letters picked without replacement from {k: 1, p: 2, r: 7, g: 2}?
7/495
Three letters picked without replacement from {h: 4, q: 2, n: 2, j: 3, f: 1}. What is prob of sequence qhh?
1/55
Calculate prob of sequence niv when three letters picked without replacement from iiwvnnibnb.
1/80
Three letters picked without replacement from ffjyfjyyffjff. What is prob of sequence ffj?
21/286
Two letters picked without replacement from {a: 2, w: 5, x: 7, k: 3}. Give prob of sequence wa.
5/136
Two letters picked without replacement from {a: 4, e: 2}. What is prob of sequence aa?
2/5
What is prob of sequence www when three letters picked without replacement from {h: 4, w: 14}?
91/204
What is prob of sequence cf when two letters picked without replacement from {c: 2, x: 2, i: 1, f: 2, j: 1, k: 1}?
1/18
Two letters picked without replacement from bpbpbhpb. What is prob of sequence bh?
1/14
Calculate prob of sequence mm when two letters picked without replacement from {z: 9, m: 7, d: 3}.
7/57
What is prob of sequence inpw when four letters picked without replacement from wsijwnp?
1/420
Calculate prob of sequence axx when three letters picked without replacement from xaaxaaxa.
5/56
What is prob of sequence kkkk when four letters picked without replacement from kkkkkkk?
1
Calculate prob of sequence fnfn when four letters picked without replacement from nnnffffffvvffvfffv.
11/1224
What is prob of sequence ttsl when four letters picked without replacement from {l: 1, t: 11, s: 5}?
55/5712
Three letters picked without replacement from {o: 6, j: 2, x: 2, e: 1}. What is prob of sequence ejx?
2/495
Calculate prob of sequence quq when three letters picked without replacement from uubuuquuqbbu.
7/660
Calculate prob of sequence rjnr when four letters picked without replacement from xjixrxjjjnxrr.
1/715
What is prob of sequence ttv when three letters picked without replacement from vvtvttvvvt?
1/10
Calculate prob of sequence rb when two letters picked without replacement from qbgzgrf.
1/42
What is prob of sequence vu when two letters picked without replacement from bjvjjuvuubjbvbv?
2/35
Two letters picked without replacement from lakjljjvkkjjkv. Give prob of sequence kv.
4/91
Calculate prob of sequence pdp when three letters picked without replacement from dpttetddppedte.
1/91
Calculate prob of sequence tt when two letters picked without replacement from {d: 1, i: 1, t: 2}.
1/6
What is prob of sequence gr when two letters picked without replacement from {g: 1, n: 1, e: 1, r: 2}?
1/10
Four letters picked without replacement from tsstitssststtti. Give prob of sequence ssti.
1/78
What is prob of sequence gg when two letters picked without replacement from {q: 2, n: 3, g: 3}?
3/28
Four letters picked without replacement from {d: 2, g: 3, v: 1, n: 1}. What is prob of sequence gvdg?
1/70
What is prob of sequence vv when two letters picked without replacement from vxcv?
1/6
Calculate prob of sequence uw when two letters picked without replacement from {u: 10, w: 2}.
5/33
Four letters picked without replacement from {v: 7, i: 4, n: 1, x: 3, t: 1}. What is prob of sequence invv?
1/260
Four letters picked without replacement from {o: 3, x: 4, g: 2}. What is prob of sequence xxxo?
1/42
What is prob of sequence qbg when three letters picked without replacement from {w: 1, b: 2, q: 1, g: 1}?
1/30
Three letters picked without replacement from {c: 1, o: 2, h: 4, e: 3, q: 6}. What is prob of sequence ceo?
1/560
Four letters picked without replacement from mccisna. Give prob of sequence casc.
1/420
Calculate prob of sequence ccc when three letters picked without replacement from cccccccccc.
1
What is prob of sequence dnd when three letters picked without replacement from ddddddddnddd?
1/12
Calculate prob of sequence jmj when three letters picked without replacement from vjftktfttmfvtkmvvt.
0
Calculate prob of sequence qig when three letters picked without replacement from ittxgttqxqq.
1/330
What is prob of sequence kku when three letters picked without replacement from uuuukk?
1/15
Four letters picked without replacement from {y: 5, f: 1, t: 2, c: 1, a: 8}. Give prob of sequence aaft.
1/510
Calculate prob of sequence gj when two letters picked without replacement from urrggjrjgurgg.
5/78
Four letters picked without replacement from {w: 1, m: 5, a: 1, n: 7, y: 5, g: 1}. Give prob of sequence namg.
7/23256
Calculate prob of sequence oho when three letters picked without replacement from {i: 1, o: 2, h: 2, g: 1}.
1/30
Two letters picked without replacement from wxwwwwxxxw. Give prob of sequence xx.
2/15
What is prob of sequence agg when three letters picked without replacement from aagallgaal?
1/72
Three letters picked without replacement from qqjsewqqwwqwqwjqw. What is prob of sequence qww?
7/136
What is prob of sequence rnn when three letters picked without replacement from {n: 3, r: 4}?
4/35
Two letters picked without replacement from ppdppdpp. Give prob of sequence dd.
1/28
Two letters picked without replacement from {q: 6, w: 1, m: 2, b: 4, v: 4}. What is prob of sequence qw?
3/136
Four letters picked without replacement from {t: 4, r: 2, b: 3}. Give prob of sequence rttt.
1/63
What is prob of sequence qe when two letters picked without replacement from {q: 15, e: 3}?
5/34
What is prob of sequence sss when three letters picked without replacement from {i: 12, s: 6}?
5/204
Three letters picked without replacement from {g: 1, d: 2}. What is prob of sequence gdd?
1/3
What is prob of sequence uym when three letters picked without replacement from mrbbbrbbyrbrmrnunr?
1/2448
Two letters picked without | {
"pile_set_name": "DM Mathematics"
} |
072. Let u = 97 + -681/7. Which is the closest to r? (a) 2 (b) u (c) -1
c
Let f = 0.06 + -0.05. Let d = 0.49 + f. Let w = -158/5 + 31. Which is the closest to w? (a) d (b) -1/3 (c) -3/4
c
Let i = 2147/160 + -423/32. What is the closest to 3 in -19, i, -8?
i
Let o = 2003.4 - 2003.5. Which is the closest to o? (a) -3 (b) 0.124 (c) -5
b
Suppose -4*h + 0*r = 3*r - 22, h + 6 = 5*r. Let a = -198.99 - -199. What is the nearest to a in -1, h, -0.4?
-0.4
Let a = 2/10769 - 22008/2530715. Let s = -139/235 + a. What is the closest to -8 in -3, s, 0.2?
-3
Let h = -0.3 + 0.1. Let d = 1682.3 + -1922. Let y = -240 - d. Which is the closest to 0.1? (a) h (b) -2/3 (c) y
a
Let l = -3.05 - -0.05. Let j(z) = 1. Let i(y) = -2*y + 7. Let h(p) = -i(p) - 6*j(p). Let g be h(7). Which is the closest to 1? (a) 3/8 (b) l (c) g
c
Let f(o) = o**2 - 6*o - 19. Let x be f(-2). Which is the nearest to 1.7? (a) 0.3 (b) x (c) -0.5 (d) 0
a
Let u = -3390 + 23728/7. Which is the closest to u? (a) -7 (b) 2/7 (c) -0.2
c
Let t be 10/6*((-36)/5)/(-2). Suppose 0 = -4*x + v - 3 + 7, 4*v = 5*x + t. Which is the nearest to x? (a) 0.1 (b) 5/4 (c) 4
b
Let n = 5.11 + -5. Let o = -0.01 + n. Let k = -254 - -253. Which is the nearest to o? (a) -2/11 (b) 2 (c) k
a
Let b = 1255/7 - 179. Let z = -619120 - -619130. Let a be (-2)/28*2*1. What is the closest to b in z, -1, a?
a
Let x = 0.23 + -0.03. Let s = 8.2 - x. Let v = -2029.1 + 2029. What is the nearest to -2 in s, v, 4?
v
Let l = -4.02 - 38.08. Let v = l - -42. Let s = 28 - 29. What is the nearest to v in s, -2, 3?
s
Let m = -3029.6 + 3029.3. What is the closest to m in 0.4, -2/5, 0, -5/8?
-2/5
Let j = 0.0566 + -0.5566. Which is the nearest to -1? (a) -14 (b) -1/3 (c) j
c
Let o(m) = m**3 - 3*m**2 - 2*m - 7. Let v be o(4). Which is the nearest to 2/3? (a) v (b) -0.26 (c) 1/8
a
Suppose 0 = 2*j - 5*g + 10, 0 = 5*g - 9*g + 8. Let n be 5/(-20) + (3/12 - j). Which is the closest to n? (a) 0.2 (b) 11 (c) -4
a
Let n = -1714721/65 - -342378/13. Let h = -217/5 - n. Let l be 6*((-60)/(-24) + -3) - (-30)/8. Which is the closest to -1? (a) h (b) -9 (c) l
a
Suppose 0 = 4*y - 2*y + 4. Let t be (7*(-6)/210)/((12/(-5))/(-4)). What is the closest to -2/7 in 5, t, y?
t
Let o = -0.58 - -0.48. Let i = 10.3 - 15.3. What is the nearest to 0 in 4, o, i?
o
Let n = 0.0896 + -410.0896. Let h = -414 - n. Which is the nearest to -2/9? (a) 5 (b) h (c) 1/4 (d) -2
c
Let i(r) = -5 + 7*r**2 - 8*r + 2*r - 4*r**3 + 3*r**3 + 3. Let u be i(6). Let z = -2747/10 - -275. What is the nearest to 2/3 in z, u, -5?
z
Let g = -12694 - -12693.5. Which is the closest to -2/7? (a) 1/3 (b) -3/4 (c) -381 (d) g
d
Let n = 44 - 36. Let k be (-4)/n*(34 - 1). Let d = 15 + k. Which is the closest to -4/3? (a) 4 (b) d (c) 3
b
Let h = 302/41 - 947/123. Which is the closest to 16? (a) -1/5 (b) h (c) 1/2
c
Suppose -26*m - 93 = -171. Which is the closest to -1/3? (a) -6/7 (b) -0.3 (c) m (d) 96
b
Suppose -107*o - 89 = 3 + 122. Which is the closest to o? (a) 6 (b) -1/3 (c) -4/91
b
Let q = 7 - 7.2. Let x = q - -8.2. Let z be (2/(-7))/((-46)/14). Which is the closest to x? (a) -1 (b) z (c) 0
b
Let b be 3*(1/11 - 480/(-6336)). What is the closest to b in 4/109, -1/2, 9?
4/109
Let m = 6 - 8. Let s be 74/72 + ((-66)/(-24) - 4). Let u = 109 - 109.4. Which is the closest to 2/7? (a) s (b) u (c) m
a
Let l = -31746 + 31752. Which is the nearest to l? (a) -2/7 (b) 1/4 (c) 1
c
Let i be (-959)/1370*(-16)/14. Which is the nearest to 468? (a) -2 (b) 0.4 (c) i
c
Suppose 8*h + 5 = 9*h, 0 = 4*y + 5*h - 25. Let a(k) = -k**3 - 6*k**2 + 3*k - 10. Let q be a(-7). Let c = q - 9. What is the nearest to y in -4, 1, c?
1
Let a = 23 + -22.8. Let s = 5383 + -5381. What is the closest to -2/5 in -5, s, a?
a
Let q = -1498.2 + 1500.2. What is the nearest to -0.1 in 2/3, -1/4, 1/19, q?
-1/4
Let q = -351.25 + 1.15. Let f = 350 + q. Let s = 40/329 - -1/47. Which is the closest to f? (a) s (b) -2 (c) -4
a
Let b = 1.0179 + -0.8179. Let j = 3 + -12. What is the closest to b in j, -2/3, -2/19?
-2/19
Let w = -900 + 900.3. What is the nearest to 0 in w, -32, 1/3, 2/5?
w
Let n = 121/273 - -5/39. Let j = 791.2 - 1131. Let a = 340 + j. What is the closest to -4 in a, n, -3/4?
-3/4
Let x = 299 - 159. Let n = 24436 - 24296.3. Let o = x - n. Which is the closest to -4? (a) o (b) -1 (c) -5
c
Let o = -5.59 - -5.49. Let q be 3*1 - 351/57. Let s = -616/171 - q. Which is the nearest to o? (a) s (b) -0.4 (c) -3
b
Let p = 236.4 - 236. Let r = 57.68 - -0.32. Let y = r + -56. What is the nearest to -2 in -5, p, y?
p
Let q = -0.65 - -0.21. Let n = q + 0.04. Let r(m) = 8*m - 33. Let d be r(4). Which is the closest to d? (a) n (b) -5 (c) -6/5
c
Let q = -19 - -16. Which is the closest to 0.1? (a) 179 (b) -0.1 (c) q
b
Let w = -158.02 + 160. Let s = w + 0.02. Let o = 765 - 764.6. Which is the nearest to s? (a) -1 (b) o (c) -0.3
b
Let s = 21 - 25. Let g be s - -8*(-4)/8. Let v be 6 + (g - (-2 - 2)). Which is the closest to -1? (a) -3 (b) 29 (c) v
a
Let r = -13463.02 - -13463. Which is the nearest to 1? (a) r (b) -0.15 (c) 15
a
Let u(v) = v**3 + 95*v**2 + 99*v + 474. Let m be u(-94). Which is the nearest to 3? (a) m (b) -0.001 (c) 0.2 (d) 0.3
a
Let s(x) = -x**3 - 4*x**2 - x - 3. Let r be s(-4). Let b = -31169 - -31166. What is the closest to -2 in r, b, -0.5, 2?
b
Let u = -1108/3351 - 3/1117. Which is the closest to -38? (a) 0.4 (b) -2/5 (c) u
b
Let d = -25903/10 - -12959/5. Suppose w + 5 = 1. Let z = -0.46 - -0.06. Which is the closest to -0.1? (a) d (b) w (c) z
c
Suppose 0 = 30*b + 6 - 96. Suppose -2*t + 1 = b*x, -3*x + 2*t = -3*t + 34. What is the closest to -6 in 1, x, 2/13?
x
Let h = -0.06 + -0.44. Let s be 4/5 - (-104)/20. Suppose -2*x = 5*v + 2, 0 = -2*x - s*v + 3*v - 2. Which is the closest to x? (a) 1/7 (b) 2/9 (c) h
c
Let l = 4.4 + -4. Let x = 448 - 276. Let r = -167 + x. Which is the nearest to r? (a) -2 (b) l (c) -0.2
b
Suppose 15*t + 23 = -6*t + 2. Let h = -0.1 - 1.9. Let w = h + 3. What is the closest to t in -1/5, w, -7?
-1/5
Let k = 0.361 + -0.161. Suppose -g + 5 - 8 = 0. Let z be -1*g/(6 - 3). Which is the nearest to z? (a) k (b) 2/3 (c) -0.2
b
Let b = 0.9194 - 0.5194. What is the nearest to -5 in 167, 0, b?
0
Let l = 0.412 - 0.512. Let i = 5.56 + -5.26. What is the nearest to l in i, 10, 1, -4?
i
Let s = 1050 - 1050.28. Let n = 3/46 + -13/23. Which is the closest to s? (a) 3/7 (b) 0.2 (c) n (d) -1/3
d
Let i = -22.264 + -2.736. What is the closest to i in -5, 0.4, -1, -2?
-5
Let h = -15.6 - 6.9. Let g = h - -26.5. What is the closest to 0.02 in -1/3, -0.2, g?
-0.2
Let x = 6612 - 19838/3. What is the nearest to 1 in 2, 12, -5/3, x?
2
Suppose -h - 16 = 3*h. Suppose -29227 = 4*x + 2*u - 29841, 3*x - 3*u - 465 = 0. Which is the nearest to x? (a) h (b) 5 (c) -2 (d) -1
b
Let q be (3 - (-10)/(-3))*1. Let t = -8 + 54. Let u = 43 - t. Which is the nearest to 0? (a) u (b) q (c) 0.3
c
Let q = -150351/68 - -2211. Let n = q + -127/204. What is the nearest to 0 in -1, n, -7?
n
Let o = 1.607 + -3.607. Which is the nearest to 3? (a) -5 (b) 0.14 (c) o (d) 0.2
d
Let i = 74 + -517/7. Let n = -875.713 - -0.713. Let k = -875.5 - n. What is the nearest to 2/3 in k, 2/7, i?
2/7
Let y = 3.2698 + -3.3298. What is the closest to 8 in -2, y, 1/2, 2/9?
1/2
Let d = -7811 - -7815. What is the closest to 2/167 in d, 2, -0.2, -2/11?
-2/11
Suppose s - 2*r + 10 = -4*s, 10 = -5*s - 4*r. Let o(k) = 2*k + 40. Let d be (-86)/4 - 1/(-2). Let u be o(d). Which is the closest to u? (a) -1 (b) 0.4 (c) s
c
Let d = -6.0318 - -6.0318. Let y = 362/35 + -51/5. What is the nearest to 0.1 in -41, d, y?
y
Let v = -0.08089 - -4.08089. What is the nearest to -0.05 in -2/33, -4, -2/5, v?
-2/33
Let x be ((-66)/2079)/(1/7). What is the nearest to 507 in x, 0.1, 0?
0.1
Let g = -208.97 + 207. Let x = 0.03 - g. Let l = -9/340 - 143/1020. What is the nearest to 0.2 in -1, l, x?
l
Let v = 0.08 - -0.02. Let t = -1919 - -1915. Let c = -6.7 + 7. What is the closest to c in t, v, -2?
v
Let f = 0.06547 + 0.00453. Which is the nearest to -2/3? (a) f (b) 0.4 (c) 3
a
Suppose f + 77 = 67. Let r be 2/f*-1*(-35)/(-35). Let n = 12/7 + -102/35. What is the nearest to n in r, 3/2, -0.2?
| {
"pile_set_name": "DM Mathematics"
} |
6*z(a)?
2*a**2
Let k(r) = -6*r**3 - 5*r + 5. Suppose 0 = -17*q - 76 - 9. Let t(y) = 6*y**3 + 6*y - 6. Give q*t(x) - 6*k(x).
6*x**3
Let k(r) = -8 + 4*r**2 + 77*r**3 - 5*r**2 + r**2 - 71*r**3. Let b(x) = 4*x**3 - 5. Calculate -8*b(g) + 5*k(g).
-2*g**3
Let f(n) = n**3 + 4*n**2 - 2*n - 4. Let h(b) = -5*b**3 - 21*b**2 + 11*b + 21. Determine 11*f(l) + 2*h(l).
l**3 + 2*l**2 - 2
Let x(k) = k**3 + k**2 + k + 2. Let d(u) = 58*u**3 - 5*u**2 - 6*u - 14. What is -d(o) - 6*x(o)?
-64*o**3 - o**2 + 2
Let g(m) = -38*m**3 + 5*m + 5. Let a(y) = -874*y**3 + 114*y + 114. Determine 5*a(x) - 114*g(x).
-38*x**3
Let r(p) = -3*p - 3. Let m(i) be the second derivative of -i**3 - 3*i**2 - 20*i. Determine 4*m(a) - 9*r(a).
3*a + 3
Let z(j) = -9*j**2 - 4*j + 9. Let r(n) = -29*n**2 - 11*n + 26. Determine -4*r(x) + 11*z(x).
17*x**2 - 5
Let k = -327 + 323. Let w(o) = 6*o - 2. Let m(h) = 5*h - 2. Calculate k*w(v) + 3*m(v).
-9*v + 2
Let l be 78/(-13) + (-4)/(-1) - -1. Let o be 5/((-5 - l)/4). Let u(g) = 3*g**2 + 4*g + 4. Let i(a) = a**2 + a + 1. What is o*u(c) + 20*i(c)?
5*c**2
Let r(f) = -11*f - 5. Let c(s) = s - 4*s - 2*s + 2 + 0 + 10*s. Suppose o = -0 - 5. Determine o*c(b) - 2*r(b).
-3*b
Let u(n) = -63*n**2 - 3*n + 187. Let g(s) = 22*s**2 + s - 63. Give 17*g(i) + 6*u(i).
-4*i**2 - i + 51
Let p(d) = -5*d**3 - 25*d + 16. Let o(i) = -5*i**3 - 24*i + 19. Determine -5*o(j) + 6*p(j).
-5*j**3 - 30*j + 1
Let q be 820/260 - (12/26)/3. Let h(n) = 2*n**3 - 3*n**2 - 3. Let b(j) = -2*j**3 + 4*j**2 + 4. Determine q*b(g) + 4*h(g).
2*g**3
Let c(b) = 40*b**3 + 2*b**2 + b + 4. Let w(r) = r**3 - 1. What is c(p) + 2*w(p)?
42*p**3 + 2*p**2 + p + 2
Let v(s) = -s - 1. Let i be ((-1)/(-5))/((-8)/40). Let y(g) = -7*g**3 - 4*g - 2. Give i*y(a) + 4*v(a).
7*a**3 - 2
Let v(s) = s**3 - 4*s**2 - 11*s - 3. Let l be v(-2). Let c(q) = -3*q**3 + 5*q**2 + 15*q. Let h(m) = -4*m**3 + 7*m**2 + 22*m. Determine l*h(i) + 7*c(i).
-i**3 - 5*i
Let l(f) = -35*f**3 + 11*f**2 - 22*f - 17. Let s(n) = -12*n**3 + 4*n**2 - 8*n - 6. Give -6*l(o) + 17*s(o).
6*o**3 + 2*o**2 - 4*o
Let v(h) = -h**3 + 2*h**2 - h**2 + 3*h - 4*h. Let d = -30 + 33. Let f(c) = -2*c**2 + 6*c**d + 0*c**3 - 3*c**2 + 0*c**3 + 3*c. What is f(u) + 4*v(u)?
2*u**3 - u**2 - u
Let r(y) = 20*y**2 - 6*y - 2. Let w(k) = -k. Determine -r(x) + 8*w(x).
-20*x**2 - 2*x + 2
Let p be -1*(0 + -4 + -2). Let z = p + -9. Let g(x) = -x - 1. Let h be 64/20*(-30)/4. Let a(t) = 9*t + 8. Give h*g(b) + z*a(b).
-3*b
Let s(i) = i**2. Let k(d) be the second derivative of d**5/10 + 3*d**4/2 + 2*d - 35. Calculate k(z) - 12*s(z).
2*z**3 + 6*z**2
Let t(n) = 9*n + 11. Let p(r) = -4*r - 5. Suppose -2*z - 2*z = -20. Suppose -3*j - 4 = -2*o - 2, -2*j + 2*o = 4. Give j*t(v) + z*p(v).
-2*v - 3
Let i(f) = 9*f. Let q be 15 - 16264/209 - (-2)/(-11). Let t(o) = -280*o. Calculate q*i(u) - 2*t(u).
-7*u
Let j(a) = a**2 - 104. Let n(x) = -35. What is 3*j(y) - 8*n(y)?
3*y**2 - 32
Let d = 30 + -21. Suppose 0 = y + 2*y - d. Let b(m) = 1 - y*m**2 - 3*m**2 + 4*m - m**2. Let a(k) = 6*k**2 - 3*k - 1. Calculate 6*a(j) + 5*b(j).
j**2 + 2*j - 1
Let x(w) = -2*w**2 - 6*w. Let m(k) = -6*k**2 - 17*k + 1. Give -6*m(p) + 17*x(p).
2*p**2 - 6
Let w(b) = 11*b - 9. Let p(n) = -11*n + 9. Let u(f) = -4*p(f) - 5*w(f). Let g(j) = 5 - 5*j - 1 + 2 - 2. Determine -7*g(q) + 3*u(q).
2*q - 1
Let l(t) = 31*t**2 + 3*t. Let a(b) = -31*b**2 - 3*b. What is -4*a(r) - 5*l(r)?
-31*r**2 - 3*r
Suppose 2*s + 3 = 3*p, 4*s - 2*p - 3*p = -3. Let y(w) = w**3 - 7*w**2 + 5*w - 5. Let c(k) = 4*k**2 - 3*k + 3. Give s*y(b) + 5*c(b).
3*b**3 - b**2
Let b(i) = 2*i**3 + 3*i**2 + 2*i. Let p = 1 + 2. Suppose p*k + k - 12 = 0. Suppose -10 = -k*u + 5. Let a(j) = -3*j**3 - 4*j**2 - 3*j. What is u*a(h) + 7*b(h)?
-h**3 + h**2 - h
Let w(r) = 2*r - 5. Let u(f) = -19*f - 10. Let a(h) = -31*h - 14. Let m(x) = 5*a(x) - 8*u(x). What is -4*m(d) - 7*w(d)?
-2*d - 5
Let j(r) = -15*r + 6. Let q(y) = -2*y + 1. Let m(d) = -j(d) + 4*q(d). Let x(k) = 36*k - 11. Calculate 11*m(f) - 2*x(f).
5*f
Suppose 2*g = 2*u + 4, -g - 4 = -2*u - u. Let p(a) = a + 727 - 365 - 360. Let m(v) = 1. What is u*p(j) - 4*m(j)?
3*j + 2
Let y(o) = -5*o - 4. Let x(m) = 4*m + 2*m - 1 + 6. Suppose k + 7 - 4 = -v, 21 = 5*k - 4*v. Let p be 5 + (-5)/k + -4*1. Determine p*y(s) - 3*x(s).
2*s + 1
Let b(w) = -2*w**2. Let a(l) = 43*l**2 + 48*l**2 - 92*l**2. Calculate 4*a(h) - b(h).
-2*h**2
Let d(n) = -n - 2. Let c(q) = -q**2 - 34*q - 86. Let h be c(-31). Let w(r) = 2*r + 5. What is h*d(b) + 3*w(b)?
-b + 1
Let q(y) = 5*y**2 - 2*y + 2. Let m(a) = -15*a**2 + 7*a + 142 - 289 + 141. Determine 2*m(p) + 7*q(p).
5*p**2 + 2
Let w(c) = -1406*c**3 + 6*c**2. Let f(y) = 1407*y**3 - 5*y**2. What is -6*f(x) - 5*w(x)?
-1412*x**3
Let s(w) = w**2. Let d(t) = -2*t**2 - 112. Calculate -2*d(c) - 2*s(c).
2*c**2 + 224
Let m(n) = 9*n**3 - 9*n**2 + 7*n + 4. Let g(l) = -4*l**3 + 4*l**2 - 3*l - 2. Suppose -6*o - 29 = 13. Determine o*g(u) - 3*m(u).
u**3 - u**2 + 2
Let v(y) = -34*y**3 + 3*y**2 - 7*y - 15. Let n(j) = 17*j**3 - 2*j**2 + 4*j + 8. What is 7*n(u) + 4*v(u)?
-17*u**3 - 2*u**2 - 4
Let r(a) = -61*a**2 + 33*a**2 + 31*a**2. Let q(j) = -4*j**2 - 5*j**2 + 0*j**2. Determine 4*q(h) + 11*r(h).
-3*h**2
Let g(r) = -10*r + 19. Let k(j) = -19*j + 36. Determine -7*g(t) + 4*k(t).
-6*t + 11
Let k(c) = 2*c**2 + 4*c. Let a(o) = 7*o - 6. Let d(r) = 12*r - 10. Let p(u) = -5*a(u) + 3*d(u). Determine k(y) - 3*p(y).
2*y**2 + y
Let m(j) = j**2 + 21*j + 107. Let b be m(-7). Let i(p) = 4*p - 4. Let u(t) = -17*t + 16. Calculate b*i(r) + 2*u(r).
2*r - 4
Let h(x) = -2*x - 1. Let k(w) be the third derivative of -w**4/24 + 5*w**3/6 - 11*w**2. Let b(p) = 2*p - 6. Let c(l) = -3*b(l) - 4*k(l). Give 4*c(n) - 5*h(n).
2*n - 3
Let j(z) = -8. Let s(q) = -q + 32. Let i(h) = -4*j(h) - s(h). Let l(v) = -2*v. Give 15*i(n) - 3*l(n).
21*n
Let a(m) = m**3 + m**2 - m. Let g(i) = 12*i**3 + 11*i**2 - 13*i. Give -22*a(q) + 2*g(q).
2*q**3 - 4*q
Let d = 921 - 922. Let n(l) = -2*l**3 + 6*l**2 + 5*l + 6. Let w(j) = -j**2 - 1. Determine d*n(z) - 6*w(z).
2*z**3 - 5*z
Let i(u) = -2*u + 1. Let j(c) = c**2 + 2*c - 1. Let f = -194 + 190. Give f*i(b) - 3*j(b).
-3*b**2 + 2*b - 1
Let k(w) = w**2 + 1. Let r(g) = -2*g**2 + 5*g - 5. Calculate -5*k(y) - r(y).
-3*y**2 - 5*y
Let m(g) = -89*g - 87*g - 9 - 89*g + 261*g. Let w(s) = 3*s + 10. What is -2*m(u) - 3*w(u)?
-u - 12
Let y(k) = -25*k**3 - 10*k**2 + 5*k - 1. Let m(n) = -24*n**3 - 8*n**2 + 4*n - 1. What is 5*m(x) - 4*y(x)?
-20*x**3 - 1
Let p(d) = -6*d - 4. Let u(h) = 10*h + 8. Let b(k) = -11*k - 9. Let n(j) = -5*b(j) - 6*u(j). Determine 3*n(r) - 2*p(r).
-3*r - 1
Let w(q) be the third derivative of -q**4/24 + q**3/6 - 65*q**2 - q. Let u(k) = -k**2 + k - 1. Determine 2*u(j) + 2*w(j).
-2*j**2
Let s(n) = -7*n**2 - 3*n + 1. Let v(m) = 15*m**2 - 13*m - 18. Let d(p) = 6*p**2 - 6*p - 8. Let r(f) = -9*d(f) + 4*v(f). Give 3*r(g) + 2*s(g).
4*g**2 + 2
Let l(g) = -6*g**2 + 5*g - 30. Let h(w) = 24*w**2 - 22*w + 120. What is -2*h(x) - 9*l(x)?
6*x**2 - x + 30
Let z(q) = q - 13. Let i(f) = -4*f + 53. Give 2*i(n) + 9*z(n).
n - 11
Let x(w) = 16*w + 3. Let p(k) = -2*k. Give 6*p(y) - x(y).
-28*y - 3
Let o = 18 + -11. Suppose 0 = 3*k + o + 2. Let c = 14 + -13. Let j(h) = h**2 - h - 1. Let q(d) = d**2 - 4*d - 3. What is c*q(g) + k*j(g)?
-2*g**2 - g
Let r(k) = -k. Let t(z) be the first derivative of 5*z**2/2 - 2*z - 197. Give 4*r(s) + t(s).
s - 2
Let p(u) = -u**3 + u**2 - u - 1. Suppose 0 = 2*k - 2 - 2. Let v(b) = -18*b**3 + 4*b**3 + 11*b**2 - 13 - 11*b + 2. What is k*v(i) - 22*p(i)?
-6*i**3
Let u(k) = -11*k**3 + 4*k**2 - 9. Let q(c) = -5*c**3 + 2*c**2 - 4. Suppose 2*h + w = -w + 16, -h + 4*w = -8. Suppose -h*t + 8 = -10*t. What is t*u(d) + 9*q(d)?
-d**3 + 2*d**2
Let b(n) = -19401*n**2 - 446*n. Let s(k) = -218*k**2 - 5*k. Determine 5*b(i) - 446*s(i).
223*i**2
Let i = 483 - 487. Let y(h) be the second derivative of -3*h**5/20 + h**4/6 + 5*h**3/6 + 13*h. Let m(r) = -r**3 + r**2 + r. What is i*m(u) + y(u)?
u**3 - 2*u**2 + u
Let j(u) = -4*u**3 + 77*u**2 - 10*u. Let m(o) = o**3 - 26*o**2 + 3*o. What is 2*j(p) + 7*m(p)?
-p**3 - 28*p**2 + p
Let k(z) = -20*z. Let r(b) = -2*b + 1. Calculate k(p) - r(p).
-18*p - 1
Suppose 73*z + 28 - 320 = 0. Let l(f) = -2*f**2 + 14*f - 26. Let x(b) = b**2 - 5*b + 9. Give z*l(w) + 11*x(w).
3*w**2 + w - 5
Let x = 18 + -19. Let c(k) = 2*k**3 + | {
"pile_set_name": "DM Mathematics"
} |
198. Let q(t) = 3*t. Give q(g(l)).
9*l**2 + 594
Let t(r) = 122*r**2. Let x(m) = 65*m. Determine x(t(h)).
7930*h**2
Let w(j) = 3*j. Let r(h) = 12*h. Let s(d) = -5*r(d) + 21*w(d). Let l(x) = -x**2 - 6*x - 3. Let y be l(-5). Let q(p) = 0*p**2 - 2*p**2 + 0*p**y. Give q(s(b)).
-18*b**2
Let q(u) be the first derivative of u**2/2 + 2. Let r(s) = s + 2*s - s. What is r(q(x))?
2*x
Let k = -26 - -31. Let h(f) = 5 + 27*f - k + 0. Let v(w) = -w**2. Calculate h(v(l)).
-27*l**2
Let q(g) = 4*g**2. Let y(k) = -1260*k**2. What is y(q(h))?
-20160*h**4
Let i(k) = -17*k**2. Let b(z) = -17*z. Give b(i(d)).
289*d**2
Let o(g) = -g**2. Let u(q) be the second derivative of -q**5/60 - q**3/6 - 3*q. Let z(w) be the second derivative of u(w). Give z(o(b)).
2*b**2
Let j(i) be the third derivative of -i**5/30 + 7*i**2. Let z(x) be the third derivative of -x**5/6 + 2*x**2. Determine z(j(b)).
-40*b**4
Let w(c) be the third derivative of -c**6/180 + c**3/6 - 2*c**2. Let o(u) be the first derivative of w(u). Let i(s) = -3 + s + 3. What is i(o(t))?
-2*t**2
Suppose 35 = g + 4*g. Let z be 19/g + (-4)/(-14). Let x(f) = 10*f**2. Let w(c) = -2*c**2. Let y(q) = z*x(q) + 14*w(q). Let a(h) = -2*h. Determine y(a(r)).
8*r**2
Let u(g) = 2*g. Let k(m) be the second derivative of -m**6/180 - m**4/2 + 2*m. Let f(q) be the third derivative of k(q). What is f(u(y))?
-8*y
Let l(h) = 15*h. Let w(f) be the third derivative of -f**5/60 - 25*f**2. What is l(w(b))?
-15*b**2
Let s(n) be the second derivative of -n**4/12 - n**3/2 + n**2 - n. Let f be s(-3). Let j(g) = -3*g + 3*g + f*g**2. Let k(m) = -m. Calculate j(k(d)).
2*d**2
Let b(i) = -2*i**2. Let f(k) = 12*k + 5. Let c(l) be the second derivative of l**3 + l**2 + 7*l. Let x(g) = -10*c(g) + 4*f(g). Give x(b(s)).
24*s**2
Let n(z) = -1523*z. Let w(q) = -2*q**2. Give w(n(k)).
-4639058*k**2
Let a(s) = -11*s - 7. Let c(z) = -5*z - 3. Let t(o) = 3*a(o) - 7*c(o). Let k(g) be the second derivative of -g**4/12 + 4*g. Calculate t(k(y)).
-2*y**2
Let q(z) be the third derivative of -z**8/10080 - z**5/30 - z**2. Let s(a) be the third derivative of q(a). Let c(i) = i**2. Give c(s(o)).
4*o**4
Let a(c) = -7*c**2. Let t(p) = -30*p. Determine t(a(k)).
210*k**2
Let c(a) = -16*a. Let f(h) = -46*h. Determine f(c(b)).
736*b
Let u(f) = -f**2 + 3. Let r(w) = -1. Let v(j) = -3*r(j) - u(j). Suppose 0 = 4*h - 0*h - 24. Let d(t) = -h*t + 2*t + 7*t. Determine v(d(n)).
9*n**2
Let o(s) = -4*s + 5. Let m(z) = -z + 1. Let i(q) = -5*m(q) + o(q). Let a(u) = 8*u**2 + 3*u. Calculate a(i(b)).
8*b**2 + 3*b
Let j(v) = -v**2. Let o(z) = -1. Let w(m) = -m + 4. Let u(p) = -4*o(p) - w(p). What is u(j(c))?
-c**2
Let k(q) = -1219*q. Let r(f) = -2*f**2. Calculate r(k(n)).
-2971922*n**2
Let s(k) = 3*k + 5. Let y(i) = -2*i - 3. Let b(x) = -3*s(x) - 5*y(x). Let l(w) = -2*w**2. Give l(b(t)).
-2*t**2
Let m(n) = 2*n. Let g = -11 - -13. Let v(c) = 17*c**2 - 2. Let b(x) = -1. Let k(i) = g*b(i) - v(i). Determine m(k(z)).
-34*z**2
Let r(w) = w. Let b(o) be the first derivative of 6 - 2*o**2 - 15 + 7*o**2 + 2*o**2. Give b(r(k)).
14*k
Let n(d) = 4*d**2. Let a(j) = -8*j. Let y(h) = 4*h. Let t(v) = 2*a(v) + 5*y(v). Determine t(n(c)).
16*c**2
Let z(p) = 0*p + 3*p + 4*p - 3*p. Let h(t) = t. Give z(h(y)).
4*y
Let x(y) = 14*y - 4. Let i(s) = -4*s**2 - 5. Calculate i(x(h)).
-784*h**2 + 448*h - 69
Let x(s) = 3*s. Let p(n) = -252*n. Calculate x(p(t)).
-756*t
Let d(v) = 72*v**2 - 36*v**2 - 33*v**2. Let w(g) = -5*g. Calculate d(w(l)).
75*l**2
Let x(q) be the first derivative of -q**4/4 - 5*q - 2. Let w(c) be the first derivative of x(c). Let b(p) = p. Calculate w(b(l)).
-3*l**2
Let r(k) = -k**2. Let c(o) be the first derivative of -13*o**2/2 - 19. Calculate r(c(d)).
-169*d**2
Let h(r) = 4*r**2. Let i(s) = 6*s**2 - s**2 - 8*s**2. Give h(i(y)).
36*y**4
Let s(i) = 2*i - 379. Let j(x) = 2*x. What is s(j(n))?
4*n - 379
Let q(y) = 195*y**2 - 6*y + 1. Let t(c) = -c. Calculate q(t(r)).
195*r**2 + 6*r + 1
Let m(k) = -13*k. Let r(d) = 36*d. What is m(r(c))?
-468*c
Let t(b) = -b**2. Let x = 5 - 1. Suppose -3*v + 4*z + 16 = -z, -x*v + 4 = 2*z. Let k(i) = 0*i**v - 6*i**2 + 4*i**2. Determine k(t(p)).
-2*p**4
Let y(w) = -w. Let r(n) = 1396*n. What is r(y(o))?
-1396*o
Suppose 2*p = -p - 18. Let t(r) = 5*r**2 - 6*r + 6. Let v(o) = -4*o**2 + 5*o - 5. Let q(a) = p*v(a) - 5*t(a). Let c(y) = -5*y. Give c(q(i)).
5*i**2
Let b(g) = 2*g - 108. Let t(m) = -4*m. Determine b(t(v)).
-8*v - 108
Let p(q) = 536*q + 3. Let t(x) = 5*x**2. What is p(t(o))?
2680*o**2 + 3
Let n(a) = a. Let j(h) = 1948*h**2. Determine j(n(m)).
1948*m**2
Let y(s) be the third derivative of s**4/24 - s**2. Let c(q) = 19*q**2 + 13 - 4*q**2 - 13. Determine y(c(p)).
15*p**2
Let p(v) = 8*v**2. Let h(w) = 4*w**2 - 9*w. Let q(y) = 2*y**2 - 4*y. Let i(d) = -4*h(d) + 9*q(d). Calculate i(p(j)).
128*j**4
Let s(n) be the third derivative of -n**5/60 - 2*n**2 + 70. Let l(t) = 2*t. Let h(a) = a. Let u(y) = -4*h(y) - 2*l(y). Calculate u(s(z)).
8*z**2
Let z(d) = 3*d. Suppose -2*w + 12 = -0*w. Let i(o) = 0*o + o + w*o - 3*o. What is z(i(c))?
12*c
Let a(t) = 4*t - 7. Let p(j) = 3*j - 6. Let u(x) = -6*a(x) + 7*p(x). Let l(q) = -9*q**2. What is u(l(d))?
27*d**2
Let v(f) = -105*f**2 - 49*f + 49. Let p(r) = 13*r**2 + 6*r - 6. Let t = -45 - -94. Let h(q) = t*p(q) + 6*v(q). Let c(s) = -2*s. What is c(h(l))?
-14*l**2
Let b(q) = 3*q. Let u be (2 + -3)/((-1)/(-2)). Let v(k) = k**2 + 2*k - 2. Let t(j) = -3*j**2 - 5*j + 5. Let r(x) = u*t(x) - 5*v(x). Determine b(r(m)).
3*m**2
Let c(o) = 3*o. Let k(n) = -n. Let d(h) = -h + 0*h + 3*h + h. Let t(b) = -2*d(b) - 7*k(b). Give t(c(g)).
3*g
Let x(t) = -4*t**2 - 2*t. Let u(h) = 159*h**2 - 79*h**2 - 82*h**2. Give u(x(w)).
-32*w**4 - 32*w**3 - 8*w**2
Let o(r) = 4*r. Let x(w) = -5*w**2 + 2*w**2 + 2*w**2 + 2*w**2. Give o(x(v)).
4*v**2
Let l(t) = -3*t**2. Let r(u) = 1275*u. Give l(r(m)).
-4876875*m**2
Let n(q) be the third derivative of q**4/6 + 2*q**2. Let l(u) be the second derivative of u**4/6 + u. Give n(l(f)).
8*f**2
Let g(t) = 3*t**2 - 5*t. Let c(v) = 2*v**2 - 4*v. Let u(r) = 5*c(r) - 4*g(r). Let q(x) = -2*x**2 + 0*x**2 - 3*x**2. Determine q(u(o)).
-20*o**4
Let f(z) = -2*z + 1. Let y be f(-3). Let x(b) = -4*b - y*b - 9*b + 18*b. Let t(p) = -18*p. What is x(t(n))?
36*n
Let v(q) = -3*q**2 + 5*q - 5. Let u(l) = -5*l**2 + 8*l - 8. Let p(j) = -5*u(j) + 8*v(j). Let m(b) = b + 0*b - 4*b**2 - b. Determine m(p(i)).
-4*i**4
Let m(t) = 2*t. Let v(p) be the second derivative of 1/6*p**3 - p + 0*p**2 + 0. Give m(v(j)).
2*j
Let v(h) = -12*h. Let s(a) be the first derivative of 2*a**3/3 - 26. Give s(v(c)).
288*c**2
Let w(c) = 3*c. Let i(g) = 6*g. Suppose a + 5*n + 22 = 0, 0*a - 2*a - 20 = 4*n. Let o(h) = a*i(h) + 5*w(h). Let p(s) = 2*s. What is p(o(x))?
6*x
Suppose 19 = 4*a + u, 0*u - 2 = -2*a + 2*u. Suppose -a*v = -8 - 0. Let f(o) = -v*o + 3 + 1 - 4. Let l(q) = 2*q. What is l(f(s))?
-4*s
Suppose 3*j = 2*h + 12 - 0, 0 = 2*j + h - 1. Let u(r) = -6*r**2 + j*r**2 + 3*r**2. Let b(k) = 10*k. Give u(b(d)).
-100*d**2
Let a(f) = -f**2. Let g(l) be the first derivative of 0*l - 11 + 0*l**2 - 4/3*l**3. Determine a(g(q)).
-16*q**4
Let v(k) = -2*k**2. Let a(s) = -153*s + 3. Calculate a(v(r)).
306*r**2 + 3
Let v(t) = t. Let k(f) be the third derivative of -f**4/12 - f**3/3 + 29*f**2. Determine v(k(p)).
-2*p - 2
Let m = 5 - 1. Let k(l) = -m*l + 0 + 0. Let r(d) = -3*d + 4*d + 2*d - 2*d. Determine r(k(s)).
-4*s
Let b(t) = t - 6. Let f be b(5). Let u = 2 - f. Let o(h) = h + 4*h - u*h - 5*h. Let i(g) = -2*g**2. Determine i(o(a)).
-18*a**2
Let z(i) = i. Let j(a) = 1. Let r(d) = -8*d + 28. Let c(u) = 56*j(u) - 2*r(u). Determine z(c(q)).
16*q
Let j(n) = 2*n - 6. Let b(c) = -12*c. Give b(j(m)).
-24*m + 72
Let q(m) = 2678 + 4*m**2 - 2678. Let j(f) = -2*f. What is q(j(i))?
16*i**2
Let h(m) = m**2. Let n(p) = -718*p. Give h(n(o)).
515524*o**2
Let s(g) be the first derivative of -2 + 0*g + 0*g**2 + 1/3*g**3. Let u(y) = -y. Determine u(s(j)).
-j**2
Let y(a) = a**2 + 13*a + 15. Let j be y(-12). Let f = 2 + 1. Let b(v) = 3 - f*v - j. Let l(u) = -u. Determine l(b(m)).
3*m
Let m(i) = 1. Let o(k) = -k - 1. Let s(g) = 2*g + 1. Let h(t) = 3*o(t) + s(t). Let v(b) = 3*h(b) + 6*m(b). Let d(z) = z**2. Give d(v(f)).
9*f**2
Let d(i) = -i**2. Let w(x) be the third derivative of x**5/30 - x**2. Let g(t) = | {
"pile_set_name": "DM Mathematics"
} |
What is the thousands digit of 250026448?
6
What is the hundreds digit of 2185225184?
1
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1
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6
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2
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5
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1
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9
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2
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2
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1
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5
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5
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1
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8
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4
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0
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7
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5
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7
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1
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4
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4
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1
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0
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2
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2
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5
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3
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2
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2
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8
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3
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8
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5
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4
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8
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7
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3
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1
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2
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8
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2
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9
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6
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8
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0
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3
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1
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8
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8
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3
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2
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1
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8
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9
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8
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2
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5
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3
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1
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2
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4
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1
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4
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5
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1
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2
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6
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4
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6
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1
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1
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2
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8
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9
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0
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8
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5
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8
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4
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4
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3
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3
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7
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5
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2
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7
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3
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6
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5
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3
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8
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1
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6
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9
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2
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3
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8
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6
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0
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9
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6
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6
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3
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2
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2
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3
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3
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6
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8
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3
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8
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3
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2
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5
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1
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3
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8
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0
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6
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2
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3
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3
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5
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1
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8
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5
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2
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3
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1
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9
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1
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6
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2
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5
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0
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6
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8
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9
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6
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8
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6
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4
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5
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6
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1
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8
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3
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4
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5
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8
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8
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5
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4
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1
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8
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5
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5
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3
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6
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1
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5
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4
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0
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1
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0
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4
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2
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4
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3
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8
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6
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4
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2
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9
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2
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7
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1
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5
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0
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7
What is the thousands digit of 168068304?
8
What is the hundred millions digit of | {
"pile_set_name": "DM Mathematics"
} |
in 4 - 1 - 3 + 18*f**2.
18*f**2
Collect the terms in -9*d**3 - 25*d**3 - 55*d**3 - 10*d**3.
-99*d**3
Collect the terms in 2*x**2 - 35*x + 51*x - 50*x - 56*x.
2*x**2 - 90*x
Collect the terms in -6*r + 4*r**2 - 4*r - r**3 - 4*r**2.
-r**3 - 10*r
Collect the terms in k + 9*k**3 - k.
9*k**3
Collect the terms in -4 + 4 + 26*t - 25*t.
t
Collect the terms in 577*u**2 - 66*u**3 - 577*u**2.
-66*u**3
Collect the terms in -2296*d**3 + 0 + 2292*d**3 + 2 - 2.
-4*d**3
Collect the terms in 2*u + u + 2*u.
5*u
Collect the terms in 43*k + 31*k + 14*k + 22*k.
110*k
Collect the terms in 8334 + 2*q - 8334.
2*q
Collect the terms in 32*r + 19945 - 19945.
32*r
Collect the terms in 15*d - 47*d + 14*d + 13*d.
-5*d
Collect the terms in 41*h - 18*h - 53*h - 49*h.
-79*h
Collect the terms in 4*v**3 - 14*v**3 + 6*v**3.
-4*v**3
Collect the terms in 16*p**3 - p**3 - 2*p**3.
13*p**3
Collect the terms in -293*z**3 - 286*z**3 + 573*z**3.
-6*z**3
Collect the terms in -206*g + 424*g - 219*g.
-g
Collect the terms in 258 - 258 - 452*g**2.
-452*g**2
Collect the terms in 2*q**3 - 200*q**2 + 200*q**2 - 11*q**3.
-9*q**3
Collect the terms in 122*h**2 - 59*h**2 - 58*h**2.
5*h**2
Collect the terms in -20*s**2 - 77 + 41 + 36.
-20*s**2
Collect the terms in -36*r + 34*r - 46*r - 60*r.
-108*r
Collect the terms in 5669*o**2 + 3 - 3.
5669*o**2
Collect the terms in -31*q**3 + 86*q**3 - 27*q**3 - 29*q**3.
-q**3
Collect the terms in -21 + 2*y**2 - 3*y**2 - y**2 + 119.
-2*y**2 + 98
Collect the terms in -299*s**3 - 283*s**3 - 67*s**3.
-649*s**3
Collect the terms in 111*o**2 + 80*o**2 - 209*o**2.
-18*o**2
Collect the terms in 2*i**2 - i**2 - i**2 - 11*i - 2*i**3.
-2*i**3 - 11*i
Collect the terms in 58 + 3*d**3 + 49 - 107.
3*d**3
Collect the terms in 9 + 2 - 60*l - 11 + 1.
-60*l + 1
Collect the terms in 3*y - 313449 + 313449.
3*y
Collect the terms in 1 - 1 - 10*i**3 + i**3.
-9*i**3
Collect the terms in -120*g - 107*g - 119*g + 87*g.
-259*g
Collect the terms in 3*p**2 + 4 - 4.
3*p**2
Collect the terms in -67*n - 113*n + 138*n.
-42*n
Collect the terms in -32*t**2 + 0 + 30*t**2 + 52.
-2*t**2 + 52
Collect the terms in 3 - 5 - 5*y + 2.
-5*y
Collect the terms in -8*f + 3 - 15*f**2 + 8*f.
-15*f**2 + 3
Collect the terms in -250 - 14*b + 250.
-14*b
Collect the terms in 6*d**3 + 2*d**3 + d**3.
9*d**3
Collect the terms in -107*m**3 + 51*m**3 + 52*m**3.
-4*m**3
Collect the terms in 3*z + 1 + z + 4*z - 7*z.
z + 1
Collect the terms in -1209*l + 1209*l + 2*l**2.
2*l**2
Collect the terms in 5*f - 3*f - f + 2*f.
3*f
Collect the terms in 213*h - 8 + 13 - 5.
213*h
Collect the terms in 27*i + 5 - 2 - 23*i.
4*i + 3
Collect the terms in -3 + 44*b**3 + 3 - 14*b**3.
30*b**3
Collect the terms in -3*v + 3*v + 427*v**2 - 433*v**2.
-6*v**2
Collect the terms in 43*m**2 + 397*m - 397*m.
43*m**2
Collect the terms in 36*c - 13*c - 15*c - 19*c.
-11*c
Collect the terms in g**2 - 2 - 2 + 5 + 0.
g**2 + 1
Collect the terms in -2 + 239*u - 598*u + 2.
-359*u
Collect the terms in -86*m**2 + m + m + 85*m**2 - 2*m.
-m**2
Collect the terms in 3*n**2 - 3*n**2 - 87*n - 3*n**3.
-3*n**3 - 87*n
Collect the terms in 2*q - 9*q**2 - 3*q**2 - 3*q.
-12*q**2 - q
Collect the terms in -168*z**2 - 2*z + 3*z**3 + 176*z**2 + 2*z.
3*z**3 + 8*z**2
Collect the terms in -2 - 1 + 648*p + 3 - 664*p.
-16*p
Collect the terms in -x - 2 - 3 - 3 + 8.
-x
Collect the terms in k**3 - 7*k + k**3 - 6*k.
2*k**3 - 13*k
Collect the terms in -10*m + 13*m - 3*m - 5*m**3.
-5*m**3
Collect the terms in -63*d**2 - 59*d**2 + 240*d**2 - 61*d**2 - 59*d**2.
-2*d**2
Collect the terms in -605*v + 604*v + 0 + 0.
-v
Collect the terms in -332*j**3 + 1333*j + 331*j**3 - 1333*j.
-j**3
Collect the terms in -u - 2 + 19*u + 11*u.
29*u - 2
Collect the terms in 2*y**3 + 27*y + 28*y - 55*y.
2*y**3
Collect the terms in -7*b - 88*b**2 + 2 + 7*b.
-88*b**2 + 2
Collect the terms in -u**3 + 18*u**3 + 3*u**3.
20*u**3
Collect the terms in 10*p**3 + 69*p**3 - 63*p**3.
16*p**3
Collect the terms in -10 + 0*i - 14 + 13 + 4*i.
4*i - 11
Collect the terms in -2*s**2 - 4*s**2 + 7*s**2 + 2 + 8*s**2.
9*s**2 + 2
Collect the terms in -m**3 - 6*m**3 - 3*m**3 + 4*m**3.
-6*m**3
Collect the terms in 22 - 15 + h - 7.
h
Collect the terms in -1853*h + 3712*h - 1873*h.
-14*h
Collect the terms in 0 + 1 - 67*y**3 - 19*y**3.
-86*y**3 + 1
Collect the terms in 4 - 36*x - 4 + 24*x.
-12*x
Collect the terms in -26*r**3 - 31*r**3 - 26*r**3 - 27*r**3 + 84*r**3.
-26*r**3
Collect the terms in 19 + 6*n**3 - 2*n**3 - 19.
4*n**3
Collect the terms in 21*g**2 + 3*g + 8*g - 11*g.
21*g**2
Collect the terms in -2*a + 345958 - 345958.
-2*a
Collect the terms in -1 + 2 + 0 - 38*p**3 + 10*p**3.
-28*p**3 + 1
Collect the terms in 7*l**2 - 34*l**2 + 9*l**2 + 17*l**2.
-l**2
Collect the terms in -15*j**3 - 3*j**3 + 28*j**3 - 3*j**3.
7*j**3
Collect the terms in 5 - 5 + 0 - 18*h**3.
-18*h**3
Collect the terms in -138*j**3 - 73*j**3 - 2*j**2 + 2*j**2.
-211*j**3
Collect the terms in -4*l**2 - 2*l**2 + 2*l**2 + 0*l**2.
-4*l**2
Collect the terms in -h + 5*h**3 + 22*h**2 - 22*h**2.
5*h**3 - h
Collect the terms in -37*d + 14*d + 7*d + 14*d.
-2*d
Collect the terms in -377*b + 612*b - 237*b.
-2*b
Collect the terms in -i**2 + 0*i**2 + 0*i**2.
-i**2
Collect the terms in d**3 + 76*d**2 - 85*d**2 + 9*d**2.
d**3
Collect the terms in x**3 - 3*x**2 + 152 - 153 + 3*x**2.
x**3 - 1
Collect the terms in -25*w**3 + 37*w**3 - 13*w**3.
-w**3
Collect the terms in -8 + 15*l - 8*l + l - 10*l.
-2*l - 8
Collect the terms in 0*l**3 - l**3 - 21*l**3.
-22*l**3
Collect the terms in 2 - 10*v - 4*v + 5*v - 2.
-9*v
Collect the terms in 884*g - 163*g**3 - 884*g.
-163*g**3
Collect the terms in 4*o - 4*o + 5*o**3 + 12*o**3.
17*o**3
Collect the terms in -396*t + 149*t + 96*t - 399*t.
-550*t
Collect the terms in 0*y**2 - y**2 - 2*y**2 + 4*y**2.
y**2
Collect the terms in 2292*i - 1143*i - 1147*i.
2*i
Collect the terms in h**3 - 3*h**3 + 6*h**3.
4*h**3
Collect the terms in 3037*o**3 + 3013*o**3 - 6034*o**3.
16*o**3
Collect the terms in -5*i + 14*i - 4*i - 7*i.
-2*i
Collect the terms in 3*q**2 - 3*q**2 + 6*q**2 + 0*q**2.
6*q**2
Collect the terms in -11*h + 4*h + 4*h + h.
-2*h
Collect the terms in 4*y + 10*y - 3*y.
11*y
Collect the terms in -57*f - 39*f + 73*f.
-23*f
Collect the terms in 86*i**2 - 2*i + 2*i - 67*i**2.
19*i**2
Collect the terms in 47*c**3 - 63*c**3 + 38*c**3.
22*c**3
Collect the terms in 22*o - 3*o - 12*o - 5*o.
2*o
Collect the terms in -2*c**2 - 850 + 850.
-2*c**2
Collect the terms in 8*n - n**2 + 2*n**3 + n**2 + 13*n.
2*n**3 + 21*n
Collect the terms in -79*i**2 - 83*i**2 + 159*i**2.
-3*i**2
Collect the terms in z - z - 2*z - 6*z.
-8*z
Collect the terms in -52*g - 13*g - 68*g.
-133*g
Collect the terms in -20*f + 10*f - 18*f - 13*f.
-41*f
Collect the terms in -98*r**2 + 4 - 4 + 197*r**2 - 95*r**2.
4*r**2
Collect the terms in 9*t**3 + 18*t**3 + t**3 - 25*t**3.
3*t**3
Collect the terms in 149*f**3 - 313*f**3 + 159*f**3.
-5*f**3
Collect the terms in -2 + 3 - 3 + 7 + 5*k.
5*k + 5
Collect the terms in 6*s**3 + 0*s**3 - 4*s**3.
2*s**3
Collect the terms in -11 + 19*q**2 - 2*q**2 + 11.
17*q**2
Collect the terms in 42*m - 72*m + 25*m.
-5*m
Collect the terms in 85*y**2 + 8*y - 8*y - 84*y**2.
y**2
Collect the terms in -27*o**3 + 28*o**3 + 16*o**2 - 30*o**2 + 14*o**2.
o**3
Collect the terms in 9*i - 3*i - 2*i + 18*i.
22*i
Collect the terms in 14 - 4*w + 9 - 21.
-4*w + 2
Collect the terms in -40*u**3 + 5*u**3 + 17*u**3 + 13*u**3.
-5*u**3
Collect the terms in -2*s**2 + 27666 - 27666.
-2*s**2
Collect the terms in -14*y + 13*y + y + 167*y**2.
167*y**2
Collect the terms in 1067*t - 539*t - 534*t.
-6*t
Collect the terms in 2*s**3 - 3*s**3 + 2*s**3 + 7.
s**3 + 7
Collect the terms in 14*b - 9*b - 3*b**3 + 16*b - 21*b.
-3*b**3
Collect the terms in -2*v**3 - 400048*v + 400048*v.
-2*v**3
Collect the terms in -4*k**3 + 26*k**3 - 13*k**3 - 14*k**3.
-5*k**3
Collect the terms in 9*c + 13987 - 13987.
9*c
Collect the terms in 64*s + 72*s - 198*s + 65*s.
3*s
Collect the terms in 2 - 4 + 667*z + 2.
667*z
Collect the terms in -5*u + 0*u - 2*u.
-7*u
Collect the terms in 5*s**3 + s**3 + 4*s**3.
10*s**3
Collect the terms in -5 + 2*h - 2*h + 13*h**2.
13*h**2 - 5
Collect the terms in 331*r - 164*r - 167*r - 2*r**2.
-2*r**2
Collect the terms in -31*m - 24*m + 77*m - 23*m.
-m
Collect the terms in 147 - 4*r**3 - 147.
-4 | {
"pile_set_name": "DM Mathematics"
} |
1.
-21381
Calculate -1232729 divided by 190.
-1232729/190
Calculate 143873687 divided by -4.
-143873687/4
What is -1734195 divided by -162?
578065/54
Divide 2 by -3093052.
-1/1546526
Divide 329087 by 22.
29917/2
What is 2 divided by -2454864?
-1/1227432
Divide 1579705 by -1.
-1579705
What is -20 divided by 37603?
-20/37603
Calculate -2026530 divided by 99.
-20470
What is -81227853 divided by 243?
-334271
Divide -3569 by -3972.
3569/3972
-76999069 divided by 7
-10999867
Calculate 56699 divided by 224.
56699/224
Divide 13 by -136453.
-13/136453
Divide -169224 by 605.
-15384/55
Divide -94 by 203221.
-94/203221
What is -487 divided by 31133?
-487/31133
-142251450 divided by -75
1896686
Divide 17613932 by 98.
179734
Divide -20206965 by 4.
-20206965/4
Divide -327 by -650722.
327/650722
Calculate -16771795 divided by 3354359.
-5
Divide 4109180 by -23.
-178660
Divide -5 by -35952081.
5/35952081
-4 divided by -485352
1/121338
Calculate 13315488 divided by 246.
54128
Calculate -55 divided by 1447369.
-5/131579
What is 2 divided by 56279007?
2/56279007
2909257 divided by 13
223789
What is -193 divided by 1146?
-193/1146
Calculate -6370 divided by 8903.
-6370/8903
-250884 divided by 200
-62721/50
Calculate 0 divided by 6351171.
0
What is 546850 divided by -80?
-54685/8
Divide -68012065 by 6182915.
-11
Divide 15052 by 21765.
15052/21765
What is -20090022 divided by -17?
1181766
4476 divided by -27489
-1492/9163
What is -13088228 divided by 8?
-3272057/2
-54415 divided by 1946
-54415/1946
-610046 divided by 182
-305023/91
Calculate 1176 divided by -201145.
-24/4105
What is 483697 divided by -7?
-483697/7
67393 divided by -98
-67393/98
Calculate -263 divided by 41527.
-263/41527
Divide 137028798 by 1062.
129029
Calculate -2585128 divided by -46163.
56
What is -106961700 divided by 196260?
-545
Calculate -792455340 divided by 23460.
-33779
9 divided by -118094
-9/118094
What is 1666084 divided by -14?
-119006
Calculate -5 divided by -17630091.
5/17630091
What is -1474 divided by 2391?
-1474/2391
What is 8112089 divided by 5?
8112089/5
15071387 divided by 52
15071387/52
Divide -141519950 by -989650.
143
Divide -6275430 by -1045905.
6
Divide 591 by -78309.
-197/26103
Divide 791 by -11446.
-791/11446
What is 4 divided by -524082?
-2/262041
What is 149148060 divided by -14914806?
-10
Calculate 250360113 divided by 3.
83453371
-170460 divided by -28410
6
Calculate -5596 divided by 355.
-5596/355
Divide 6384 by 276490.
3192/138245
What is 1076971840 divided by -19231640?
-56
1757608 divided by 1
1757608
-5 divided by 1207133
-5/1207133
12505192 divided by -152
-82271
Calculate -8460440 divided by 32920.
-257
What is 5 divided by -25639760?
-1/5127952
Calculate -4 divided by -479396.
1/119849
Divide -47181671 by 23.
-2051377
What is -7703 divided by -859?
7703/859
Divide -1621 by -29794.
1621/29794
Divide -4 by -752096.
1/188024
121946136 divided by 4
30486534
Calculate 213943 divided by 24.
213943/24
Calculate 2297 divided by -1206.
-2297/1206
Divide 64886 by -22.
-32443/11
What is 2091 divided by -357026?
-2091/357026
3 divided by -17391333
-1/5797111
What is -45884853 divided by 45884853?
-1
-931927290 divided by 186385458
-5
-265787389 divided by -59
4504871
33546516 divided by -4
-8386629
What is -362 divided by -8850?
181/4425
Divide 13511 by -643.
-13511/643
Divide 78244309 by -11.
-7113119
Calculate 2153520 divided by 1.
2153520
Divide 11615996 by 2.
5807998
What is 556975760 divided by -7480?
-74462
Divide -3161 by 1935.
-3161/1935
Calculate 39 divided by 3221276.
39/3221276
Divide 29 by 13177223.
1/454387
What is -1511400 divided by -2748?
550
Calculate 392887689 divided by -130962563.
-3
Calculate 17968034 divided by 434.
41401
Divide 8924 by 55405.
8924/55405
What is 963939168 divided by 852?
1131384
Calculate 69 divided by 26658398.
69/26658398
Calculate -314945838 divided by -2.
157472919
Divide -143659328 by 35914832.
-4
Divide 16584204 by 84.
197431
Divide 2385710 by -2385710.
-1
140 divided by -267104
-35/66776
Divide -35472003 by 23.
-1542261
-4135253 divided by -2
4135253/2
Calculate -28619724 divided by -146019.
196
35606220 divided by 456490
78
What is -58062656 divided by -8?
7257832
What is 21661789 divided by 53?
408713
-13 divided by 5145456
-13/5145456
29670403 divided by -4238629
-7
What is 16680976 divided by 8340488?
2
Calculate -765782 divided by -539.
765782/539
Calculate 19612796 divided by -700457.
-28
Calculate 4362644 divided by 638.
6838
Calculate -5 divided by 297049741.
-5/297049741
Calculate 799403 divided by 11.
72673
Calculate 98880096 divided by -224.
-441429
Calculate -4850259 divided by 3.
-1616753
Divide 4700384 by 361568.
13
Calculate -11433756 divided by 6.
-1905626
Divide 109291367 by 3.
109291367/3
What is 89376606 divided by 66?
1354191
Divide 5861688 by -7544.
-777
137403 divided by -934
-137403/934
Divide 879060 by 42.
20930
What is 339308 divided by 339308?
1
Calculate 151595348 divided by 37898837.
4
What is 74 divided by 307296?
37/153648
Divide -1152876 by -764.
1509
What is 451703 divided by 42?
64529/6
-3 divided by -29252906
3/29252906
Divide 0 by -16560907.
0
Calculate 5 divided by -1289663.
-5/1289663
2371 divided by 501
2371/501
Calculate 21791 divided by -22.
-1981/2
14 divided by 43499360
7/21749680
Divide 118966200 by 9913850.
12
162869954 divided by 5
162869954/5
Divide -134930069 by -2.
134930069/2
What is -3697554 divided by -42?
88037
226611241 divided by 1
226611241
Divide 6610663 by 35.
6610663/35
Divide 8431079 by 4.
8431079/4
Calculate 22797783 divided by -43.
-530181
Calculate -171032316 divided by 6.
-28505386
Calculate -14625 divided by -5297.
14625/5297
-30644835 divided by 3
-10214945
Calculate 3199680 divided by -1056.
-3030
-7943 divided by 63010
-7943/63010
-324605169 divided by -3
108201723
Calculate 42784920 divided by 120.
356541
What is -1 divided by -2470697?
1/2470697
Calculate 182331870 divided by -60777290.
-3
Calculate -3759800 divided by 93995.
-40
-89276820 divided by -15
5951788
Divide 43373 by 13.
43373/13
Calculate -49818090 divided by -3889.
12810
-42549132 divided by 10637283
-4
Calculate -1067070428 divided by -116.
9198883
What is -5 divided by 16508800?
-1/3301760
What is 42 divided by -14041437?
-14/4680479
What is 300292569 divided by -7503?
-40023
Divide -7234500 by -1378.
5250
What is -2465357 divided by -5?
2465357/5
Calculate -60396733 divided by -17.
3552749
Divide 7909440 by -94160.
-84
3449274 divided by -1
-3449274
Calculate 420655 divided by 420655.
1
Calculate -9469877 divided by -34.
9469877/34
What is -527820 divided by -395?
105564/79
Calculate -232719 divided by 101.
-232719/101
Divide 1657476 by -14.
-828738/7
Calculate 331 divided by 4897.
331/4897
-816 divided by -22170
136/3695
Divide -3395 by -19505.
679/3901
What is -56316 divided by 6685?
-56316/6685
What is -152688 divided by 12?
-12724
-218590206 divided by 1194482
-183
87972150 divided by -2
-43986075
Divide 1 by -192535.
-1/192535
What is -764796 divided by -1?
764796
Divide 74924417 by -6.
-74924417/6
Calculate 12774780 divided by 94628.
135
Divide 448226 by -11.
-448226/11
What is -349398 divided by -38822?
9
-3287 divided by 28693
-3287/28693
12044538 divided by 364986
33
Divide 103012680 by 4.
25753170
-7551920 divided by 24
-943990/3
What is -9723384 divided by -63?
1080376/7
-2011 divided by 5279
-2011/5279
What is 31889 divided by 1091?
31889/1091
What is 8088880 divided by 23?
8088880/23
Calculate 746660 divided by -3.
-746660/3
Divide -5042790 by -5.
1008558
What is 455639 divided by -455639?
-1
What is 1108953 divided by 5?
1108953/5
What is 2274786 divided by -129?
-17634
What is 169862 divided by 120?
84931/60
15893492 divided by 20803
764
Divide -12353144 by 12353144.
-1
Divide 2492922 by -415487.
-6
Calculate 1338160 divided by 43.
31120
What is 19135107 divided by 2126123?
9
Divide 207 by 135140.
207/135140
What is 113172134 divided by -31?
-3650714
1253338464 divided by 188076
6664
Divide 1094652 by -39.
-28068
Calculate -2 divided by 38160080.
-1/19080040
178700311 divided by -17
-10511783
Divide 4676886 by -2.
-2338443
Divide -331842175 by 5.
-66368435
What is -363843813 divided by -4?
363843813/4
What is 71596 divided by -258?
-35798/129
Divide 122066546 by -4753.
-25 | {
"pile_set_name": "DM Mathematics"
} |
j + h + 11 = -2*j. Let r(x) = 10*x**j - x**2 - 10*x**2. What is r(t(m))?
-81*m**4
Let d(v) = 2*v**2 - 41. Let w(u) = -42*u**2. Calculate d(w(j)).
3528*j**4 - 41
Let v(h) = 4*h - 9*h + h. Let k(m) = -m + 12. Let i(n) = n - 14. Let y(q) = 6*i(q) + 7*k(q). Calculate y(v(a)).
4*a
Let z(t) = 3*t + 0*t + 17*t. Let a(n) = -3*n**2 + 4*n + 2. Let h(q) = -14*q**2 + 18*q + 9. Let c(m) = 18*a(m) - 4*h(m). Give c(z(d)).
800*d**2
Let g(m) = 10*m**2 + 10. Let z(w) = 15*w**2 + 14. Let v(h) = 7*g(h) - 5*z(h). Let b(j) = j**2 - 34*j. What is b(v(r))?
25*r**4 + 170*r**2
Let a(j) be the third derivative of j**5/30 + j**4/3 + 7*j**3/6 + 33*j**2. Let k(l) be the first derivative of a(l). Let z(t) = -2*t**2. Give z(k(b)).
-32*b**2 - 128*b - 128
Let z(h) = 1327*h. Let y(f) = -15*f. What is z(y(s))?
-19905*s
Let a(d) = 2 - 5*d - 3*d**2 + 3 + 10*d**2. Let x(s) = -6*s**2 + 4*s - 4. Let c(k) = 4*a(k) + 5*x(k). Let y(j) = -9*j. Calculate y(c(g)).
18*g**2
Let j(o) = -2*o**2. Let w(d) = 173697*d. Give w(j(h)).
-347394*h**2
Let q(x) = -x. Let m(y) = 1035*y**2 + 45*y. Let t(o) = -47*o**2 - 2*o. Let p(w) = 2*m(w) + 45*t(w). Give p(q(a)).
-45*a**2
Let c(r) = -3*r. Let a(i) = 2*i**2 - 3997*i + 2. What is a(c(t))?
18*t**2 + 11991*t + 2
Let j(m) = -2*m. Let q(c) = c + 0*c - 5*c. Let i(a) be the third derivative of a**4/24 + 6*a**2 + 3*a. Let g(f) = 6*i(f) + 2*q(f). Determine g(j(b)).
4*b
Let v(x) = 11*x + 4. Let a(w) = -11*w - 3. Let g = 19 + -22. Let m(b) = g*v(b) - 4*a(b). Let y(l) = -2*l. Calculate m(y(f)).
-22*f
Let p(k) be the second derivative of -k**3/3 - 2*k. Let d(l) be the second derivative of -15*l - 5/3*l**3 + 0 + 0*l**2. Determine d(p(y)).
20*y
Let f(k) = 3614*k**2 - 139*k + 139. Let g(m) = 129*m**2 - 5*m + 5. Let n(h) = 5*f(h) - 139*g(h). Let l(x) = 6*x. Give l(n(p)).
834*p**2
Let r(o) = -2*o**2 - 4 + 4. Let a(s) = -5*s - 19*s + 17*s - 3. Let w(g) = 14*g + 7. Let k(m) = -7*a(m) - 3*w(m). Calculate k(r(l)).
-14*l**2
Let n(y) = -78*y. Let s(z) = -10 + z - 3*z + 4 + 6. Determine n(s(g)).
156*g
Let b(v) = 25*v + 6. Let h(f) = -19*f - 7. Let q(a) = -3*b(a) - 4*h(a). Let w(j) = 3*j**2. What is q(w(p))?
3*p**2 + 10
Let b(s) = -7*s. Suppose 4*w + 66 - 21 = 5*g, 30 = 3*g - 3*w. Let x(a) = -2*a + 3*a + g*a - 3*a. Give x(b(u)).
-21*u
Let d(v) = v**2. Let y(w) = 1022*w**2 + 2. Calculate y(d(i)).
1022*i**4 + 2
Let t(f) = -11534*f. Let u(v) = -v. Determine u(t(w)).
11534*w
Let x(u) = -28*u - 8. Let y(h) = -8*h - 5. Calculate x(y(r)).
224*r + 132
Let w(f) = 9*f**2 - 7*f**2 - 27 + 27. Let p(k) be the first derivative of -7*k**4/6 - 6*k - 4. Let c(l) be the first derivative of p(l). Give w(c(x)).
392*x**4
Let l(o) = 2*o**2. Let h(s) be the first derivative of -553*s**3/3 - 705. Calculate l(h(m)).
611618*m**4
Let l(c) = -c. Let m be (-910)/(-8) - (-12)/(-16). Suppose -r + 6*r - m = 3*z, -5*z - 115 = -5*r. Let y(i) = -6*i**2 - r*i + 22*i. Give l(y(f)).
6*f**2
Let r(m) = 263*m**3 - 2*m**2 + m + 1. Let h be r(2). Let k(l) = -2099 + h + l. Let g(d) = 4*d**2 + 14*d. Determine k(g(w)).
4*w**2 + 14*w
Suppose 46 = 2*u + 46. Let f(y) be the first derivative of -8 + u*y - 5/2*y**2. Let t(r) = -2*r. Give t(f(g)).
10*g
Let u(f) = f. Let m(k) be the third derivative of k**7/420 + 2*k**5/5 + 12*k**2. Let x(z) be the third derivative of m(z). Give u(x(r)).
12*r
Let r(a) = -18*a**2. Let n(u) be the second derivative of -u**3/2 - 197*u. Calculate n(r(v)).
54*v**2
Let o(d) = -2*d. Let x(i) = 4*i**2 + 462*i. What is x(o(u))?
16*u**2 - 924*u
Let n(g) = 2*g**2 - 4. Let v(t) = 3*t**2 + 391. Give n(v(x)).
18*x**4 + 4692*x**2 + 305758
Let g(z) = 4*z**2 + 4*z + 10. Let f(h) = 2*h. Determine g(f(x)).
16*x**2 + 8*x + 10
Let v(c) be the first derivative of 6 - 20 + 4 + 12 + 4*c**2. Let x(n) = 3*n. What is v(x(g))?
24*g
Let v(u) = 5*u**2 - 1. Let w(q) = -917*q. Give w(v(b)).
-4585*b**2 + 917
Let w(b) be the first derivative of b**3 + 5. Let z(o) be the third derivative of -3*o**2 + 0 + 0*o - 1/24*o**4 + 0*o**3. Give w(z(p)).
3*p**2
Let t(d) = 2*d**2. Let p = -6 + 9. Let y(v) = -9*v - p*v - 7*v + 22*v. What is y(t(o))?
6*o**2
Let f(c) = -17*c**2. Let l(n) = 5*n - 24. Let y(o) = -o + 8. Let j(i) = -2*l(i) - 6*y(i). Give f(j(b)).
-272*b**2
Let f(j) = 24*j**2 - 14*j. Let l(m) = 124*m - 1. What is l(f(b))?
2976*b**2 - 1736*b - 1
Let q(j) = 20*j + 3. Let a(v) = -13*v**2 + 4. Give q(a(t)).
-260*t**2 + 83
Let b(m) = 3*m. Let a(g) be the first derivative of 45*g**2 - 277. Determine a(b(z)).
270*z
Let z(j) = -18*j**2 - 2*j. Let g(w) = 10*w**2 + 3*w. Let u(o) = 14*o**2 + 4*o. Let v(a) = -4*g(a) + 3*u(a). What is z(v(c))?
-72*c**4 - 4*c**2
Let b(v) = v**2. Let t(l) = -l - 19. Let o be t(-14). Let d(f) = -22 + 22 - 12*f. Let k(a) = 35*a. Let z(g) = o*k(g) - 14*d(g). Determine b(z(p)).
49*p**2
Let b(z) = 5*z**2. Let a = -5753 + 9710. Let r(o) = -a + 3957 - o. What is b(r(c))?
5*c**2
Let r(s) = 15*s**2 - 5*s - 5. Let c(f) = 22*f**2 - 7*f - 7. Let b(a) = -5*c(a) + 7*r(a). Let t(v) = -4*v**2. Give b(t(x)).
-80*x**4
Let a(n) = 1521*n + 1. Let p(d) = -3*d**2 - 100. Determine p(a(l)).
-6940323*l**2 - 9126*l - 103
Let m(k) = k. Let d(u) = -u**2 - 3*u. Let t(b) = d(b) + 3*m(b). Let g(i) = 74*i**2. Give g(t(n)).
74*n**4
Let z(d) = -152*d - 143. Let k(p) = -4*p + 4. Calculate z(k(a)).
608*a - 751
Let c(n) = 38*n. Let s = 22 - -241. Let u(j) = s*j - j**2 - 263*j. Calculate c(u(d)).
-38*d**2
Let m(p) = -1340253*p. Let n(q) = -2*q. Give m(n(w)).
2680506*w
Let r(v) = 2*v. Let p(h) = -71*h**2 + 6*h + 3. Let z(y) = 140*y**2 - 14*y - 7. Let s(l) = 14*p(l) + 6*z(l). What is r(s(f))?
-308*f**2
Let t(a) = -12*a**2. Let b(q) be the third derivative of q**4/4 - 135*q**2. Determine t(b(v)).
-432*v**2
Let f(p) = 11*p**2. Let b(m) = 8 - m + 7 + 9 - 27. Suppose 4*v + 3*r = 23, v + 3*r - 9 = -r. Let h(d) = -d - 5. Let a(o) = v*b(o) - 3*h(o). Determine f(a(j)).
44*j**2
Let a(s) = -39881*s**2. Let m(y) = -3*y**2. Give m(a(v)).
-4771482483*v**4
Let h(r) be the first derivative of -r**6/180 - 7*r**3/3 - 2. Let b(k) be the third derivative of h(k). Let s(g) = -14*g. Give b(s(m)).
-392*m**2
Let t(y) = 7*y + 4. Let c(o) = 13*o + 7. Let v = 87 + -83. Let i(a) = v*c(a) - 7*t(a). Let h(q) = -3*q**2 + 0*q + 0*q. Calculate i(h(p)).
-9*p**2
Let q(w) = -w**2. Let u(m) = -249151*m**2. Determine q(u(n)).
-62076220801*n**4
Let x(z) be the second derivative of z**4/3 + 3*z. Suppose 5*p - 29 = 116. Let s(b) = 30*b - 2 + 2 - p*b. What is s(x(w))?
4*w**2
Let y(l) = -9*l - 48. Let u(i) = 2*i + 1. Let b(h) = 4*u(h) + y(h). Let g(s) = 2*s**2. Determine b(g(x)).
-2*x**2 - 44
Let n = -3 - -5. Let w(h) = 5*h**n - 4*h**2 - 2*h**2. Let i(b) = -1. Let m(p) = -6*p + 15. Let d(s) = -30*i(s) - 2*m(s). Calculate w(d(y)).
-144*y**2
Let c(n) be the first derivative of 0*n + 15 + 0*n**2 - n**2 + 0*n. Let i(a) = 4*a + 0 + 0. Give i(c(z)).
-8*z
Let i(y) be the third derivative of -y**5/60 - 28*y**2 + 2*y. Let r(h) be the second derivative of -23*h**4/6 + 13*h. Give i(r(t)).
-2116*t**4
Let u(n) = -2*n**2 + 2*n - 4. Let l(r) = 7*r**2 - 12*r + 24. Let y(a) = -l(a) - 6*u(a). Let t(g) = -3*g - g + 12*g. Calculate t(y(k)).
40*k**2
Let l(z) = 15934*z + 2. Let q(n) = -3*n. Determine l(q(h)).
-47802*h + 2
Let o(n) be the first derivative of -n**2/2 - 16. Let p(c) = 7*c**2 + 6*c**2 - 10*c**2. Determine p(o(v)).
3*v**2
Let d(h) = -3*h. Let u(k) = 141*k**2 - 32*k - 1. Give d(u(n)).
-423*n**2 + 96*n + 3
Let h(b) = -17*b**2 + 2*b. Let u(a) = 1740*a**2. Give h(u(o)).
-51469200*o**4 + 3480*o**2
Let h(g) be the first derivative of g**2 - 51. Suppose -4 = -2*z - j, 3*j + j = 0. Let r(q) = q**2 - z*q**2 - 2*q**2 - 7*q**2. What is r(h(v))?
-40*v**2
Let t(l) = -1708*l - 4*l**2 + 1708*l. Let z(f) = 28*f**2. Calculate z(t(d)).
448*d**4
Let t(w) be the third derivative of -w**5/60 + 21*w**2 + w. Let q(d) = d**2 + 152*d. Determine t(q(o)).
-o**4 - 304*o**3 - 23104*o**2
Let f(s) = 8*s + 9*s + 5*s - 21*s. Let q(o) = 24*o + 1. Calculate q(f(m)).
24*m + 1
Suppose -4*m - 23 = -2*z - z, 3*m = 4*z - 26. Let r(a) = -10*a**2 - z*a + 2*a + 3*a. Let c(i) = 4*i**2. Calculate r(c(q)).
-160*q**4
Let u(o) be the second derivative of o**3/3 + 47*o - 4. Let f(r) be the third derivative of -r**5/10 + 2*r**2. Give u(f(b)).
-12*b**2
Let c(k) = 471*k + 39. Let v(y) = 2*y. Give c(v(p)).
942*p + 39
Let a(l) = 2*l. Let c(p) be the fir | {
"pile_set_name": "DM Mathematics"
} |
pose 7*l = -f*l + q. Is l prime?
False
Suppose -2*z - 7 = 1, 4*z + 36 = 4*r. Suppose 5*c - 10 = 0, 0 = -5*q + 5*c + 5 + r. Suppose 0*l + 4*d = -2*l + 410, -q*d + 619 = 3*l. Is l composite?
True
Let h = 7113 + -4934. Is h a prime number?
True
Suppose -39*r = -183*r - 96*r + 86947440. Is r a prime number?
True
Let c be 74/7 - 4 - (-18)/42. Suppose c*v = 11793 + 3922. Is v a composite number?
True
Let z(r) = 15293*r**2 - 56*r - 241. Is z(10) prime?
False
Let i be (-3)/((-9)/2)*18*1. Let f be (8/i)/((-6)/(-9)) - -5. Suppose -4*k = p - 137, 0 = -4*p + f - 18. Is k prime?
False
Let n be 245/98*(-332)/(-10). Suppose 62*s - n*s = -13209. Is s composite?
True
Let n = -119 - -161. Suppose 0 = -n*k + 48*k - 12762. Is k prime?
False
Let v(r) = r**3 - 16*r**2 - 18*r - 29. Let m be v(17). Let i be 8/6 - (-388)/(-24)*m. Let k = i + -438. Is k prime?
True
Let n(l) be the first derivative of 53*l**4/12 - 11*l**3/3 - 13*l**2/2 + 18*l - 14. Let k(u) be the first derivative of n(u). Is k(-10) composite?
False
Let a = -45440 - -89661. Is a a prime number?
True
Suppose 3*b - 5*b = -3*m + 7, 2*b - 13 = -m. Suppose -m*a + 3*k = -46, a - 24 = -2*a + 3*k. Let q(c) = 80*c - 17. Is q(a) prime?
True
Suppose -992214 - 655531 = -55*f. Is f a prime number?
True
Let w(y) = -13*y + 28. Let n(s) = 19*s - 42. Let d(z) = -5*n(z) - 7*w(z). Let f be d(-11). Suppose 53 = 3*x - f. Is x a prime number?
True
Let d = -6875 + 27748. Is d a composite number?
False
Suppose 4*d - 24 = -4*b, 3 = 5*b + d - 15. Suppose -120 = 114*v - 138*v. Suppose 3*h - v*h = 0, b*h = -3*f + 261. Is f a prime number?
False
Let s(f) = 72*f - 356. Let p be s(9). Let k = 81 + p. Is k a prime number?
True
Suppose -2*s - 2*k = -108152, -8*s + 12*s - 2*k - 216346 = 0. Is s composite?
False
Let h = 655 + -650. Suppose 5*s - 35163 = -2*x, h*s - 24694 - 10453 = 2*x. Is s a prime number?
False
Let r(b) = b**2 - 20*b + 35. Let f be r(18). Let t(s) = -367*s + 4. Is t(f) composite?
True
Suppose 0 = -35*p + 36*p + 4*r - 43927, 5*p - r - 219572 = 0. Is p a composite number?
True
Let o be (2 + -1)*913 + -3. Is 13/(o/30) + (-40646)/(-7) a composite number?
False
Suppose -161*n + 166*n + 2*p - 862547 = 0, 3*n = -2*p + 517533. Is n prime?
True
Let l be (41 - 8/4) + (-3 - 0). Let i be (-2)/(-9) + (-8)/l. Suppose i = 41*v - 42*v + 353. Is v prime?
True
Let k be -4*(-1 + (-920)/(-16)). Suppose 3*z + 4*i = 1, -z - 4*i = -8*i + 5. Is (z/2)/((-3)/(-18)) - k a prime number?
True
Suppose -3*l = 35 - 8. Is 60/36 + (-34068)/l a prime number?
False
Let p(o) = -o**2 + 7*o - 7. Let z be p(4). Suppose -2479 - 2010 = 5*m - a, -z*m + 5*a - 4505 = 0. Let s = -360 - m. Is s composite?
True
Let m(i) = 13551*i**2 + 37*i - 135. Is m(4) a composite number?
False
Suppose 4*w + 994231 = 8*i - 3*i, 12*i = 3*w + 2386194. Is i composite?
False
Suppose -359 = 4*g - 5567. Let z = g - -4199. Is z a composite number?
False
Suppose -5*a + 5*s + 4220 = s, a - 4*s - 844 = 0. Suppose 17*u = 18*u + 5*w - 9, -2*w = -3*u + 10. Suppose -2*g = u*y - 862, g + g - a = 5*y. Is g prime?
False
Let m be 14601*8/18 - (-12)/(-9). Suppose -1094 = 6*p - m. Is p a composite number?
True
Let u(b) = -297*b - 21. Let v(d) = 4*d - 24. Let f be v(5). Is u(f) a prime number?
False
Let m = 3002 + -917. Suppose 2*n = -271 + m. Is n a composite number?
False
Suppose 0 = -37*v - 77471 + 635172. Is v a composite number?
False
Suppose 62*g = 35*g + 270. Suppose -83315 = -g*l + 5*l. Is l a composite number?
True
Let q be 4 - (0/(-1))/(-12 + 13). Is -1 - (q + -2163 + -3) a prime number?
True
Let c(d) = 140*d**2 + 2*d + 151. Is c(-7) composite?
False
Let t be -3 + -832 + (-4)/1. Let o = 1243 + t. Is 2 + -4 + 1 + o a composite number?
True
Let t(f) = 12 - f**2 - 10*f - 23 + 1 + 0*f**2. Let w be t(-9). Let l(i) = -308*i - 1. Is l(w) a prime number?
True
Let r be 448/12 + (-2)/(-3). Let t = -38 + r. Is t + (-2 - (2 - 86 - 3)) prime?
False
Let k(t) = 6*t**3 - 4*t**2 + 4*t - 3. Let d be (-4)/(((-8)/3)/4). Suppose 0 = 4*p - p - d. Is k(p) a prime number?
True
Suppose 4735092 + 2816131 = -974*w + 1003*w. Is w a composite number?
False
Suppose 9*m = 4*m + 25. Suppose 4*r + r - 530 = -m*l, 4*r - 410 = 3*l. Let b = r - 51. Is b prime?
True
Suppose 0 = 5*a + 57 + 13. Let q(x) = x**3 + 15*x**2 + 16*x + 32. Let b be q(a). Is -4 + (b - -11*83) prime?
False
Let a be (17 + 0)/((-12)/(-24)). Let d(j) = 2*j**2 + 6*j + 75. Is d(a) composite?
False
Let m(o) = 7*o**2 + 46*o + 15. Let h be m(-6). Is 2617 + 11 + h/(-5 + 2) prime?
False
Suppose 289*j - 295*j + 38658 = 0. Is j prime?
False
Let f be (5 - -3)/(-2 - -4). Suppose 6*k - 4*k = 5*x - 275, f*k + 544 = 4*x. Is k/90 - (0 - (-334)/(-4)) composite?
True
Let g = -6610 + 12581. Is g composite?
True
Let d = -85 - -80. Let z(x) = -x**3 - 11*x**2 + x + 21. Let q(m) = -2*m**3 - 21*m**2 + m + 43. Let g(p) = d*z(p) + 3*q(p). Is g(-11) a composite number?
False
Let u(x) = x**3 + 35*x**2 + 66*x + 8. Let v be u(-33). Suppose -3*h + 2681 = -7*q + v*q, 4*q + 5*h = 10696. Is q composite?
True
Suppose 9*v - 12 = 7*v. Suppose 2370 = 5*r - 5*z, v*r + 3*z - 923 = 4*r. Is r a prime number?
False
Suppose -4*a + 472819 = 3*c, 27673 + 129952 = c + 4*a. Is c composite?
True
Let r be 36/2*7/21. Suppose 4*j - 2*a - 17156 = 5870, 5*a + 28770 = 5*j. Suppose -r*q = -20203 - j. Is q a composite number?
False
Let n = 683 - 1312. Suppose -4*d - 2*h + 9072 = 0, 5*d + 3*h = 3*d + 4536. Let j = d + n. Is j a prime number?
False
Suppose 2*d - 48 = -2*d. Suppose -2*l - 2*l + d = 0. Suppose -u = -l, -3*g + u = -0*g - 282. Is g composite?
True
Suppose 5*h - 644089 = 4*z, -83069 + 469490 = 3*h + 3*z. Is h a prime number?
True
Let i = -180 - -105. Let f = -75 - i. Suppose 0 = -5*v - 5*h + 5275, 5283 = 5*v + 3*h - f*h. Is v composite?
True
Let k = 233954 + 84955. Is k prime?
False
Suppose -7 = -k + 89. Let o = k + 733. Suppose 3*h + 4*t - 1282 = o, 3*h - 2095 = 4*t. Is h composite?
False
Let s(z) = -8*z - 326. Let u be s(-40). Is (-20730)/u + (-6)/(-3) a composite number?
False
Suppose 11*f = -0*f + 10901. Let p = f - 489. Is p a composite number?
True
Suppose -4*c - 99 + 91 = 0. Is c/((-8)/23)*148 prime?
False
Let h = 137 + -135. Suppose 16*y - h*y = 47446. Is y a prime number?
True
Let y(g) = 178*g**3 + g**2 - 2*g + 2. Let a(o) = 2*o + 22. Let c be a(-8). Let w = 7 - c. Is y(w) a composite number?
False
Let w(f) = f**2 + 37. Let z(r) = r**2 - r + 74. Let h(p) = -5*w(p) + 3*z(p). Let x be h(0). Let t = x - -16. Is t prime?
True
Suppose 3*f + 73 = 5*n, -2*n - f = -7 - 20. Suppose -11*d - 2031 = -n*d. Is d prime?
True
Suppose 5*x + 5*u = -1015, 5*x - 5*u + 942 + 63 = 0. Let g be ((2 - 6) + 2)*x. Let z = -213 + g. Is z prime?
True
Let w(z) = -z**3 - z**2 + z - 1. Let a be w(1). Let x(l) = 5*l**2 + 4*l. Let j be x(a). Suppose 6*b + 7158 = j*b. Is b a composite number?
False
Let k(x) = 22*x**2 - 2*x + 7. Let v(q) = 65*q**2 - 7*q + 21. Let b(p) = -8*k(p) + 3*v(p). Suppose -d + h + 14 = 12, -d - 4*h = -7. Is b(d) prime?
True
Let x be 1/2*5568/(-16). Is ((-87)/x)/(2/32876) composite?
False
Is (-22)/4 + (-13)/26 + 834919 a composite number?
False
Let n = -362842 + 549291. Is n a prime number?
False
Let p be -2*(-2)/(-1) - (255 - 1366). Suppose -940 - 482 = 3*i. Let k = i + p. Is k prime?
False
Let h(s) = -s + 43. Let m be h(38). Suppose -20*z + 21*z - m*b - 3683 = 0, 0 = -5*z - 3*b + 18415. Is z a composite number?
True
Suppose -5*v + 2*v + 3*p - 9 = 0, 0 = -2*v + 5*p - 15. Suppose v = -28*o + 93486 + 195278. Is o prime?
True
Suppose 3*s + 11*s - 9154 = 498892. Is s composite?
True
Let d(n) be the third derivative of 59*n**5/15 - 49*n**4/24 - 4*n**3/3 - 18*n**2. Is d(-6) a composite number?
True
Let r(m) = -4*m**2 + 2. Let d be r(-3). Let g = 39 + d. Suppose y - 7 = -2, -g*y = -2*c + 633. Is c prime?
False
Let s be 1628/8 + 7/14. Let p = s + 3455. Is p prime?
True
Let n(p) = 1745*p**2 - 3*p - 6. Let s(m) = 1745*m**2 - 2*m - 5. Let x(o) = -4*n(o) + 5*s(o). Is x(2) composite?
False
Suppose -11*v + 16589 = -271644. Is v composite?
False
Let s be (-1)/2*(23 - 43389)*7. Suppose 0 = -5*h - 2*h + s. Is h composite?
False
Let s(u) = -u - 22. Let g be s(-22). Suppose 0 = -3*n - g*n + 2694. Is n a prime number?
False
Suppose 37*b - 79*b + 126 = 0. Is 179/b*(1 - -122) a prime number?
False
Let a(n) be the second der | {
"pile_set_name": "DM Mathematics"
} |
, -l + 33 = -8*u + 3*u. Solve -3*q = -l*q for q.
0
Suppose -y + 4*b - 4 - 2 = 0, 0 = 5*b - 10. Solve 0 = -3*x + x - y for x.
-1
Suppose 3*x + 0*x - 5*f = 35, -3*f - 65 = -4*x. Suppose 2*z - 7*z + x = 0. Solve z*j - 13 = 3 for j.
4
Let t(o) = -o**2 - o + 7. Let j be t(0). Let b = -1 + j. Solve -b = -3*m - 0 for m.
2
Let a be (-24)/(-42)*(-7)/(-2). Solve 5*n = -13 - a for n.
-3
Suppose 0 = 3*f + 2*x - 11, -5*x + 19 = -f. Let s be (-39)/(-18) + f/(-6). Solve 0 = s*i + 3*i + 20 for i.
-4
Suppose 0*q + 16 = 4*q. Solve q*t + 0*t = -20 for t.
-5
Let g(k) = k**2 - 3*k + 3. Let t be g(3). Suppose -5*y = -41 + 6. Let f(o) = -5*o. Let m be f(-1). Solve -t*u = y + m for u.
-4
Suppose -3*b + p = -10, 0*p = -b + p + 4. Let s be (-9)/27 + (-4)/(-3). Solve 2*j - b - s = 0 for j.
2
Suppose 0*f - 3*z + 3 = 3*f, -24 = 4*f - 3*z. Let w be 1 - 0/(f/(-1)). Let a = 6 - w. Solve -b = -a*b + 8 for b.
2
Let c = -5 + 9. Solve -1 = -3*o - c for o.
-1
Suppose 6*f + 14 = 68. Solve -5*b - 24 = -f for b.
-3
Let c(x) = -x**3 - 8*x**2 + 10*x + 11. Let m be c(-9). Suppose 0 = m*t + 2*t. Solve t*j = j - 4 for j.
4
Let c = 17 + -2. Suppose -5 - c = -4*f. Suppose f*u + 26 = 3*l, -3*u + 1 + 5 = 0. Solve 5*t + 3 = -l for t.
-3
Let s(v) = -13*v - 4. Let l be s(-3). Suppose -2*u + l = -0*b + 5*b, 2*u - 20 = -2*b. Suppose 0 = -0*m - u*m + 10. Solve 0 - m = -j for j.
2
Let k = -4 - -8. Suppose -3*x + 55 = -x + 5*q, -45 = -k*x + 3*q. Solve 5*t + x = 2*t for t.
-5
Let v(h) = -h**3 + 2*h**2 + 2*h - 1. Let u be v(2). Suppose 16 = 5*y + 2*c, u*y - 5*c - 20 = -c. Solve y = -5*j + 6*j for j.
4
Suppose 5*m - 2 = 28. Let u be (2/(-6))/((-1)/m). Suppose 65*a - 32 = 61*a. Solve u*p = -0*p + a for p.
4
Suppose -i - 4*i = r, 5*i = -3*r - 10. Let h be -1 + 6 + i + -1. Solve 0 = -h*g - 1 - 9 for g.
-2
Let c be (-2)/(2 - 1) - 9. Let p = 13 + c. Solve s - 3*s + p = 0 for s.
1
Let s(k) = k**2 + 12*k + 14. Let v be s(-10). Let i be 1 - (-2)/v*3. Solve 3*l - 2 - 1 = i for l.
1
Let t be 2 - -1*(0 - -1). Solve -4 = f + t*f for f.
-1
Let r be (-1 + 1)*(-4 - -5). Suppose -2*n = -r - 6. Solve -c - 2 = n for c.
-5
Suppose 2*k - 4 = -2. Let p = -7 + 13. Suppose -u = -4*u + p. Solve f + k = u*f for f.
1
Let m be ((2 + -2)/(-1))/1. Solve m = 3*d + 6 for d.
-2
Let x(c) = -c**3 + 6*c**2 - 4*c - 2. Let i be x(5). Suppose -4*s - 3*g = i - 10, -2*g - 3 = -5*s. Let o(j) = -j + 2. Let n be o(-3). Solve -3*h + s = -n for h.
2
Let f be (2/4)/((-1)/(-142)). Suppose -79 = -5*h + f. Suppose -u = u - h. Solve 2*l = -l + u for l.
5
Let c(i) = i - 12. Let p be c(7). Let d be 9/5 - 1/p. Solve d = 3*x - 10 for x.
4
Let g = -4 - 2. Let z be (-8)/3*9/g. Suppose -5*n + n - z*i = 12, 5*n = 4*i + 12. Solve n*l + 12 = 4*l for l.
3
Suppose 6*u - u = 0. Suppose 0 = r - u*r. Solve -2*p - p - 9 = r for p.
-3
Suppose 21 = 5*b + 11. Solve -b*h + 5 = -3 for h.
4
Suppose 4*r = -0*r. Suppose r = -0*m - 4*m. Let p be (1 - 1*2)*-4. Solve -p*o + m*o = -12 for o.
3
Let z(a) = a. Let r be z(1). Solve -r = -v - 0 for v.
1
Let x be 3/2 - 10/20. Solve -1 - x = -2*g for g.
1
Suppose k + 3*k = 0. Solve -5 = g - k for g.
-5
Suppose -j - 10 = -6*j. Let f be -3 + (-7)/(-7) + 6. Solve f*z = j*z - 2 for z.
-1
Suppose p = 3*p. Let z = -3 - -5. Suppose 0 = z*h - 0*h - 8. Solve p = 2*x - x + h for x.
-4
Suppose 0*y + 4*y = -3*i + 20, y = -4*i + 18. Solve -c = 3*c - i for c.
1
Let h = -1 - -1. Suppose h = -a - 2*a + 27. Let q be (-6)/2 - a/(-3). Solve z + z + 6 = q for z.
-3
Suppose -4*i + i = 0. Let l(j) = j**3 + 11*j**2 + 9*j - 5. Let b be l(-10). Solve d - b = -i for d.
5
Suppose -5*x = z + 3*z - 3, 0 = -2*x - 2*z. Suppose 0 = -x*q, 3*d + 0*d = q + 15. Solve -2*o = -d*o + 6 for o.
2
Let a = 2 + -1. Let r be (-1 - (-21)/2)*(-14)/(-7). Solve 4*j - r = a for j.
5
Let o be (48/(-32))/(2/(-16)). Solve -v = -5*v + o for v.
3
Let p(w) = w - 5. Let a be (4/6)/((-1)/(-12)). Let g be p(a). Let j(z) = -5*z - 1. Let v be j(-1). Solve -v*d - g = 5 for d.
-2
Let d = 6 - 8. Let k be 2 + (-2 + 2)/d. Suppose -4*u + 5*u + 4 = -k*r, 0 = -2*u - r + 1. Solve 4 = u*j - 0*j for j.
2
Suppose 0 = -2*l + b, 0*l + 22 = 5*l + 3*b. Let r = l + 1. Let o = r + -1. Solve 4 = d + o for d.
2
Suppose -5*t = -2*g - 10 + 1, 3 = g. Suppose 0*q - 4*r - 16 = 2*q, -3*r - 12 = -t*q. Solve q = p - 6*p for p.
0
Suppose t - 4 = 0, -t = 2*f - 4*t + 16. Let s be (4/(-2))/(0 - f). Let b be (s*3)/(6/(-4)). Solve -1 = b*p - 9 for p.
4
Suppose 5*f = -5, 0 = 3*z - 2*f - f - 6. Suppose 3*o - 5 = z. Let d = 1 + 5. Solve 0*x - d = -o*x for x.
3
Suppose 2 - 2 = 5*m. Solve m = -h + 4*h + 15 for h.
-5
Let d(b) = -b**3 + 5*b**2 - 3*b - 4. Let o be d(3). Let g = o - 5. Solve g*n = n for n.
0
Suppose 5*n + 3*x - 51 = 27, -2*n + 44 = -2*x. Solve 2*l - n + 8 = 0 for l.
5
Let b be 8*4/(7 - -1). Suppose -b*w + 3*r + 15 = 0, 2*w + 2*w = 4*r + 20. Solve -4*i + w*i = 0 for i.
0
Suppose 10 + 15 = 5*s. Suppose -s*d + 4 + 15 = 2*p, 4*d - 16 = -2*p. Solve 4 = -p*m - 2 for m.
-3
Suppose 4*c + 33 - 11 = 5*q, c = -4*q + 5. Let a = 2 - -24. Suppose i + 0 - 7 = -y, 4*y - a = -3*i. Solve -i*b = -q + 6 for b.
-2
Let m(j) be the second derivative of -j**5/120 + 13*j**4/12 - j**3/3 + 2*j. Let l(k) be the second derivative of m(k). Let s be l(0). Solve -4*c + s = 6 for c.
5
Let m(d) = -d**2 - 7*d - 6. Let l be m(-5). Suppose 0*v = 2*u - 2*v - 8, u = -l*v + 14. Solve 0 = -u*c + 4*c - 4 for c.
-2
Suppose x - 6 = -1. Let o = x + -2. Suppose -h + 51 = 3*f, 0 = 2*f + o*f + 5*h - 85. Solve -1 = -4*r - f for r.
-4
Let z(s) = s**3 - 7*s**2 - 9*s + 4. Let l be z(8). Let q = -2 - l. Solve -q*r + 5 = -3 for r.
4
Let y be (8/(-10))/(2/(-5)). Solve -y*x = -x + 4 for x.
-4
Let z(y) = -y + 3. Let q be z(0). Let s = -9 - -29. Solve -q*i + 7*i = -s for i.
-5
Let w = -17 + 22. Solve -1 + w = -u for u.
-4
Let s(t) = t**3 - 3*t**2 + 4. Let z be s(3). Solve -5*q - 14 = -z for q.
-2
Let g(d) be the third derivative of -d**4/12 + 13*d**3/6 - d**2. Let k be g(-6). Solve 0*p + 5*p = k for p.
5
Suppose -3*h = 2*h + v - 19, -v = 3*h - 13. Solve 5*c - 8 = h*c for c.
4
Suppose 5*k - 12 = -2. Suppose k*j - 31 = -3*f + 6*j, -5*f + 29 = -j. Solve 12 - 27 = f*t for t.
-3
Suppose -90 = -3*i - 39. Solve -12*u + 5 = -i*u for u.
-1
Let l be 4/5 - (-2)/10. Let s(c) = -c**3 + 2*c**2 + 3*c - 2. Let u be s(3). Let y = -2 - u. Solve y = -3*z + 4 - l for z.
1
Suppose 3*f - 4 = 5*f, 0 = 4*g - 2*f - 16. Solve -g = 2*k - 3*k for k.
3
Suppose -2*v = 2*m - 10 - 8, -4 = 4*m. Let d(z) = z**2 - 6*z - 5. Let x be d(5). Let h = -7 - x. Solve q = h*q - v for q.
5
Suppose -7 + 47 = 4*r. Suppose -2*n - 4*y = -9 - 15, 3*n + 19 = 5*y. Let t be (-1)/n + 14/4. Solve r = -t*i + 8*i for i.
2
Let n = 12 + -12. Solve 5*b + n*b = 10 for b.
2
Suppose -2*q + 0*q - 7 = -3*b, 2*b - 2 = 2*q. Solve -15 - 1 = -q*r for r.
4
Suppose -5*x - 2 = 5*l - 7, -4*l = -3*x + 3. Suppose 3*f = -3 - l. Let p be 0*1/(-3 - f). Solve s - 5 = -p*s for s.
5
Let n be 4/(-5)*(-30)/4. Suppose -7 = c - 5*b + 23, -b = -2*c - 15. Let p = c + 8. Solve 0 = -p*o - 0*o - n for o.
-2
Suppose -5*y = -7 - 3. Suppose 0 = n + y*m - 7 - 2, -m = -n. Solve -10 - 5 = n*t for t.
-5
Let q(m) = -m**2 - 12*m - 34. Let j be q(-5). Solve -2*d + j + 1 = 0 for d.
1
Let n be -2 - (2 + 2)/(-1). Let x = 0 - 0. Let c = n + x. Solve -c*f + 4*f = 0 for f.
0
Let k be (0 - (-1 - 1))*30. Suppose -t = 4*t + k. Let f = 20 + t. Solve 0 = -4*r - f - 4 for r.
-3
Let u be ((-6)/7)/((-4)/28). Suppose 3*p + 3*y - 2 = -p, -6 = -5*p - 2*y. Suppose 0*k - 20 = -5*k. Solve u + p = k*d for d.
2
Let i(u) = -2*u**2 + 14*u + 2. Let r be i(7). Solve -4 = q - r*q for q.
4
Let z(q) = -q**3 + 3*q**2 + 9*q + 5. Let o be z(5). Solve -3*s = -3 - o for s.
1
Let x(i) = -11*i**2 + 27*i + 16. Let j(r) = -5*r**2 + 13*r + 8. Let s(a) = 13*j(a) - 6*x(a). Let d be s(-6). Solve -n - 3 = d*n for n.
-1
Suppose -f - d = 3, 0 = -4*d + 9*d + 25. Solve 0 = f*p + 2 for p.
-1
Let d(g) = g**2 - 18*g + 4. Let v be d(18). Solve 0 = v*n - n for n.
0
Suppose -2*f = -4 + 16. Let g = 7 + f. Solve -2*h = 1 + g for h.
-1
Let n be (9 + -1)*(4 + -2). Solve 0*k = 4*k - n for k.
4
Suppose 0 = 3*s - 9, -2*r - s + 14 = 3*s. Let d be 18 + 2 - (r + -1). Solve -2*b + 7*b + d = 0 for b.
-4
Let r = 5 - -3. Solve 0 = -p + 3*p + r for p.
-4
Let l = -132 + 132. Let v = 4 - 3. Solve l = -2*w - 3 - v for w.
-2
Let t(k) = 4*k - | {
"pile_set_name": "DM Mathematics"
} |
(98)*1 - sqrt(2) - sqrt(2)))**2 - (sqrt(605) + 1)*2*5.
-110*sqrt(5) - 41/5
Simplify sqrt(34)/(1*sqrt(242)) + (4 + -6*sqrt(17) + 1)**2.
-659*sqrt(17)/11 + 637
Simplify (sqrt(144)/(sqrt(1296)/sqrt(3)))/((3*sqrt(1728) - sqrt(1728))/sqrt(3)).
sqrt(3)/144
Simplify ((sqrt(99) + -2)*-1 - (-1 + sqrt(99) + -2 + sqrt(99)) - (-2*sqrt(99) + 0 + -6*-2*sqrt(99)))**2.
-390*sqrt(11) + 16756
Simplify ((sqrt(200) - (-1 + sqrt(200) + sqrt(200) - sqrt(200)) - (-2 + (sqrt(32) - sqrt(2))))**2 + sqrt(10)/(sqrt(20)/sqrt(4)*-2))*-1.
-27 + 37*sqrt(2)/2
Simplify 5 + (sqrt(35) + sqrt(105)/(sqrt(9)/sqrt(3)))/((1*sqrt(28))/sqrt(4)).
2*sqrt(5) + 5
Simplify (1 + sqrt(14)/sqrt(2) + 5 + 4*sqrt(567) + -3 + sqrt(567))**2.
276*sqrt(7) + 14821
Simplify 5 + ((sqrt(12)*2)**2*1 - ((4 + sqrt(27))*-1)**2).
-24*sqrt(3) + 10
Simplify (-4*-6*((1*sqrt(77) - sqrt(77)) + sqrt(77)))/((sqrt(175) - -1*sqrt(175))*3).
4*sqrt(11)/5
Simplify ((sqrt(242)*-1 - sqrt(2)) + (sqrt(6)/sqrt(3) + 1 - sqrt(2)))**2 - ((0 + sqrt(2))**2*2 + 5).
-24*sqrt(2) + 280
Simplify -1 + ((sqrt(147)*-3)/sqrt(7))/(sqrt(7) - (sqrt(14) - sqrt(98)/sqrt(7))/sqrt(2)).
-3*sqrt(3) - 1
Simplify ((5*(sqrt(20)*2 + sqrt(20)) - (sqrt(180) - (2*sqrt(180) + sqrt(180))))/((sqrt(10) - (sqrt(10) - 5*(sqrt(10) + sqrt(10)*-2)))*-6))**2 + -2.
-51/50
Simplify ((sqrt(11) - 2*sqrt(396) - ((2 + sqrt(275))**2 - sqrt(11))) + -3)*3.
-846 - 90*sqrt(11)
Simplify (sqrt(171) + (-1*sqrt(171) - sqrt(171))*-3 - sqrt(171) - (2*sqrt(171) - sqrt(171))*-3)/((1*(sqrt(90)*2 + sqrt(90)) + sqrt(90) - sqrt(90))/sqrt(10)).
3*sqrt(19)
Simplify 4*((sqrt(228)/(3*(sqrt(12) - (1*sqrt(12) - sqrt(12) - sqrt(12)))) + (2*sqrt(209)*5)/sqrt(11))*-1)**2.
70699/9
Simplify 1 + sqrt(833) + (sqrt(17)*-3 + sqrt(17))*-1 + -4.
-3 + 9*sqrt(17)
Simplify 3*(-1 + sqrt(1700)*-1*5*2).
-300*sqrt(17) - 3
Simplify ((sqrt(11) - (sqrt(11) + 0)) + -5)**2 + sqrt(121)/(sqrt(22)/sqrt(2)) + 5 + ((1 + sqrt(275))*-4 + sqrt(275))**2.
121*sqrt(11) + 2521
Simplify -1*(2 + (sqrt(3) + -3)*3 + sqrt(3) + 0)**2.
-97 + 56*sqrt(3)
Simplify ((-5 + sqrt(612) + -2)*-6)**2 - (sqrt(34) + ((2*sqrt(4896) - sqrt(4896)) + sqrt(4896) - sqrt(4896)))/(sqrt(6)/(-1*sqrt(3) - sqrt(3))).
-2998*sqrt(17) + 23796
Simplify ((sqrt(51) + -1*sqrt(459))*4)/(sqrt(36)/(3*sqrt(12)*2)).
-48*sqrt(17)
Simplify (1 + 6*(sqrt(171) - sqrt(171)*1)*3 + (-1*-1*sqrt(171) + sqrt(171))*3)**2.
36*sqrt(19) + 6157
Simplify (1 + sqrt(117) + -2 + sqrt(117) + -1 + 1)**2.
-12*sqrt(13) + 469
Simplify ((sqrt(300) + -6*(sqrt(300) + (sqrt(300) + 3 - sqrt(300))) + sqrt(300))*2 + 4)**2.
5120*sqrt(3) + 20224
Simplify (6*(sqrt(152) - sqrt(152)*-1) - (((sqrt(152)*2 - sqrt(152)) + sqrt(152))*-1 + sqrt(152)))/(-4*(-1*sqrt(80))/sqrt(10)).
13*sqrt(19)/4
Simplify 5*(sqrt(363) - (sqrt(363)*2 - sqrt(363))*-6)**2*2*-2.
-355740
Simplify (sqrt(400)/(2*sqrt(10)) + sqrt(1000) + sqrt(1000)*1 + sqrt(1000))/(-3*sqrt(32) + sqrt(8) + sqrt(48)/(sqrt(6)*1)).
-31*sqrt(5)/8
Simplify (2 + ((5 + sqrt(20))*-4 - -1*6*(-1*sqrt(5) + sqrt(5))))**2.
288*sqrt(5) + 644
Simplify (sqrt(36)/(sqrt(8)/sqrt(4)*5))/(2*sqrt(81)*-2).
-sqrt(2)/60
Simplify -5 + (3 + -3*sqrt(99) + sqrt(99) + sqrt(99))**2 + 3 + -1.
-18*sqrt(11) + 105
Simplify 4 + (sqrt(931) - -3*sqrt(931)*1 - (-5 + sqrt(931) + 3 + sqrt(931))).
6 + 14*sqrt(19)
Simplify 3 + ((sqrt(931)*-6)**2 + sqrt(931) - sqrt(19)) + 5 + -5*sqrt(19) + sqrt(19).
2*sqrt(19) + 33524
Simplify (sqrt(352)*-3)/(1*sqrt(2)*-6)*-1 + -1.
-2*sqrt(11) - 1
Simplify (sqrt(78)*1*-4)/(2*sqrt(54))*-1.
2*sqrt(13)/3
Simplify (5 + sqrt(405) + 0 - ((sqrt(45)*-1)/sqrt(9) + (sqrt(90)/sqrt(3))/sqrt(6))**2) + 1.
6 + 9*sqrt(5)
Simplify (3*(sqrt(204)*1*5 + sqrt(204)))/((sqrt(12) - (sqrt(12) + sqrt(24)/sqrt(2)))*-3 - (sqrt(60)/(sqrt(10)/sqrt(2)) - sqrt(12))).
6*sqrt(17)
Simplify (sqrt(11)*-1*-3 + 3)**2 + -3*sqrt(11)*-1*6.
108 + 36*sqrt(11)
Simplify ((sqrt(1573) + 2 + sqrt(1573) + 1)**2 + -1)*-1.
-6300 - 132*sqrt(13)
Simplify ((-1 + sqrt(252) - (1 + sqrt(112))) + ((sqrt(567) - (2 + (sqrt(567)*3 - sqrt(567))))**2 - sqrt(567)))*-4.
-2276 - 116*sqrt(7)
Simplify (4*-1*sqrt(912))/((2*sqrt(48) - sqrt(48))*-1).
4*sqrt(19)
Simplify (3 + ((sqrt(208) - -2*sqrt(208)*-2) + sqrt(208) + sqrt(208) + ((sqrt(208) + sqrt(208) + -1)*2 - sqrt(208)))*-6*1)**2.
-1440*sqrt(13) + 30177
Simplify (-5*(5 + -2*sqrt(425) + -5 + -5))**2.
2500*sqrt(17) + 43125
Simplify ((sqrt(133) - (sqrt(133) - (-6*(sqrt(133) - sqrt(133)*1) + sqrt(133) - sqrt(133))) - sqrt(133))*-2)/(sqrt(28)/(-1*sqrt(400) + sqrt(4))).
-18*sqrt(19)
Simplify 3*(sqrt(17) - (sqrt(17) + -2))*4*-4*1.
-96
Simplify 1*6*((-2*sqrt(275) - sqrt(275))**2*6 + (sqrt(275) - (5 + -2*sqrt(275) - sqrt(275)))**2) + 2.
-1200*sqrt(11) + 115652
Simplify (sqrt(425)*-2*6 - (sqrt(68)/sqrt(36) + -3)) + 3 + -4.
-181*sqrt(17)/3 + 2
Simplify 5 + (-2 + 2*(sqrt(2057) + 1)*6)**2 + 2.
2640*sqrt(17) + 296315
Simplify (1*sqrt(98)*-2*6 + -1)**2.
168*sqrt(2) + 14113
Simplify -5*((sqrt(8)/sqrt(4)*4)**2 + -4) + -5.
-145
Simplify (sqrt(425) + -4 + (sqrt(136) - (sqrt(136) + (sqrt(136) - 2*sqrt(136))))/sqrt(8))*-3*3.
-54*sqrt(17) + 36
Simplify (sqrt(4)/sqrt(2) + -5 - 3*(2 + sqrt(2)))**2 + (1*sqrt(18)*-2)/(sqrt(90)/(sqrt(90) + sqrt(10)) + sqrt(9) - sqrt(9)).
36*sqrt(2) + 129
Simplify (-1 + (sqrt(2736)*-1 - sqrt(2736) - sqrt(2736)) - sqrt(2736) - (1 + -2 + sqrt(475) + sqrt(475)))**2*-2.
-127832
Simplify ((sqrt(63)*3 + 1 - ((sqrt(7) - (-4 + sqrt(28))) + sqrt(7) + (sqrt(63)/(sqrt(45)/sqrt(5)) - sqrt(7))))*2)**2.
-216*sqrt(7) + 2304
Simplify -1 + -1 + ((sqrt(95)*-1 - sqrt(95))*-1)/sqrt(5).
-2 + 2*sqrt(19)
Simplify -4*((2 + sqrt(304) + sqrt(304))**2*-2 + -3*(0 + sqrt(304))).
304*sqrt(19) + 9760
Simplify (-3*(sqrt(468) - (sqrt(468) + (sqrt(468) - 1*sqrt(468)))) + 5 - (-1 + (sqrt(1872) - -1*(sqrt(1872) - (sqrt(1872) + sqrt(1872)*2)))))**2.
144*sqrt(13) + 1908
Simplify (sqrt(1216) - (sqrt(1216) - (sqrt(1216) + (sqrt(1216) - (0 + -2*sqrt(1216) - sqrt(1216))))**2) - -6*-1*sqrt(1216))*-6 + -2.
-182402 + 288*sqrt(19)
Simplify ((sqrt(325)*2 + 5 - sqrt(325)) + 3 + 1*sqrt(325) + 2 + -2)**2.
160*sqrt(13) + 1364
Simplify ((2 + 1*sqrt(539))**2 - (-3 + -1*sqrt(539)))*-3.
-1638 - 105*sqrt(11)
Simplify (((1*sqrt(66)*-1 - sqrt(66)) + sqrt(66) + sqrt(66) - (1*sqrt(66) + sqrt(66))*4)/(-4*2*sqrt(486) + sqrt(486)))**2.
704/3969
Simplify ((sqrt(187)*1*2)/(2*sqrt(1331)) + -5)**2.
-10*sqrt(17)/11 + 3042/121
Simplify ((-2*sqrt(960) + sqrt(960))*-3)/((sqrt(12) + -1*sqrt(432))*-5).
12*sqrt(5)/25
Simplify 3*((sqrt(275)*-3 + sqrt(275) - sqrt(275))**2 + -3 + 2 + sqrt(11)).
3*sqrt(11) + 7422
Simplify 0 + ((sqrt(448) + 3)**2 + 0 - (sqrt(448) - (sqrt(448) + -2)**2*-2)).
-447 + 104*sqrt(7)
Simplify (((sqrt(190) - 6*(sqrt(190)*-1 + sqrt(190) + sqrt(190)))*-6)/((1*sqrt(100)*6 - sqrt(100))/sqrt(10)))**2.
684
Simplify 2 + 1 + sqrt(1573) + 0 + ((-5 + (sqrt(1573) - (-2 + sqrt(1573) + sqrt(1573))) - sqrt(1573))*2)**2.
539*sqrt(13) + 25207
Simplify -1*(4 + 5 + ((sqrt(208) + 1 + sqrt(208) - sqrt(208))*2)**2).
-845 - 32*sqrt(13)
Simplify -1*(-4 + sqrt(2)*-1) - sqrt(400)/(sqrt(8) + sqrt(8)*-2).
4 + 6*sqrt(2)
Simplify 4*(sqrt(2673)*2 - sqrt(33))/(-1*(-1*sqrt(3) - sqrt(3))).
34*sqrt(11)
Simplify (sqrt(832)*-1 - sqrt(832))*-3*-3 + 1 + (sqrt(13) + sqrt(39)/sqrt(3))**2*1*-5.
-144*sqrt(13) - 259
Simplify -3 + (sqrt(56) + sqrt(56) + sqrt(280)/(sqrt(10)/sqrt(2)))/(sqrt(32)/(sqrt(8)/sqrt(2))).
-3 + 3*sqrt(7)
Simplify (sqrt(156)/(sqrt(150) - sqrt(150)*-2))/(sqrt(20)/(1*sqrt(810))) + 2.
2 + 3*sqrt(13)/5
Simplify -3*(sqrt(425)*2 + -4*sqrt(68) + sqrt(119)/(sqrt(63)/(sqrt(18)/sqrt(2)))).
-9*sqrt(17)
Simplify (4 + (-1*(-1*sqrt(180) - sqrt(180)) + sqrt(180)*1*-5)*-5)**2.
720*sqrt(5) + 40516
Simplify -5 + (((sqrt(66)*3 - sqrt(66) - sqrt(66))*-2)/sqrt(6) - (sqrt(99) - ((sqrt(99) + sqrt(99)*-1)*-5 + sqrt(99)))/sqrt(9))**2.
39
Simplify (2*sqrt(2448) + -2 + sqrt(68)/(sqrt(12)/sqrt(3)) + 2*sqrt(68))**2.
-116*sqrt(17) + 14301
Simplify ((1*sqrt(240)*-3 - sqrt(240) - sqrt(240)) + sqrt(240))/(5*(sqrt(3) + sqrt(900)/sqrt(12))).
-8*sqrt(5)/15
Simplify (sqrt(45)/(-2*sqrt(3)))/sqrt(3) + (sqrt(480)/sqrt(8)*5 + sqrt(60))/sqrt(12).
11*sqrt(5)/2
Simplify -4*(-4 + -1 + -2 + (-1*sqrt(720))**2) + -1.
-2853
Simplify -5*(-3*sqrt(6)*3)/(sqrt(75)*-3)*-6.
18*sqrt(2)
Simplify 3 + (-6*(-2 + sqrt(2592) - sqrt(2592)) + -4 + 1*sqrt(2592))**2.
576*sqrt(2) + 2659
Simplify (-6*(sqrt(66) + | {
"pile_set_name": "DM Mathematics"
} |
.
-6
Express 3*n**2 + 5*n**3 + n - n**4 - 6*n**3 - 3 - 3*n**2 in the form q + x*n**4 + g*n + h*n**2 + j*n**3 and give x.
-1
Express (7*b**2 - 7*b**2 - 3*b**2)*(-3*b**2 + 7*b**2 - 2*b**2) in the form w + h*b**2 + p*b + t*b**3 + u*b**4 and give u.
-6
Rearrange (3*c - 3*c - c)*(-22*c - 5*c + 7*c)*(-5*c + 2*c + 2*c) to h*c**2 + r*c + i*c**3 + j and give i.
-20
Rearrange 2 + 114*l**3 + 6*l - 3*l - 115*l**3 to b + o*l + s*l**3 + c*l**2 and give s.
-1
Express -13 + 5 + 8 + 10*h**2 in the form w*h**2 + d*h + b and give w.
10
Express (-4 + 3 - 7)*(19*z - 28*z - 5*z)*(2*z**2 - z**2 + z**2 + (z - 2*z + 2*z)*(0*z + z + z)) in the form d*z**3 + c + h*z + a*z**2 and give d.
448
Express (-2*b**2 + 3*b**2 - 4*b**2)*(3 - 1 - 4)*(-1 + 1 + 4*b) as x + l*b**2 + g*b + z*b**3 and give z.
24
Rearrange (2*r - 2 + 2)*(-2 + 0 + 4)*(17 - 20 - 30) to the form u*r + z and give u.
-132
Rearrange -3*y**3 - 3*y**2 + 0*y**3 + 5*y**3 + 2 + 5*y**2 to f*y**3 + b*y**2 + o + a*y and give f.
2
Express 0*j + 0*j + 13*j**3 - 2*j**2 - 22*j**3 as h*j + c*j**3 + b + g*j**2 and give g.
-2
Rearrange -x**4 + 6*x**4 - 3*x**4 + (-3*x + 0*x - 2*x)*(x**3 - 2 + 2) - 2*x**4 - 3*x + 3*x to the form f + j*x**4 + s*x + b*x**3 + c*x**2 and give j.
-5
Rearrange -7*s - 11*s - 10*s - 14*s to j + b*s and give b.
-42
Express (s**3 + 0*s**2 + 0*s**2)*(-5 + 3 + 0)*(1 - 1 + 2*s + (0*s + s + s)*(-2 + 2 + 2) + 24*s + 2 - 2) as m*s**4 + i + b*s**2 + o*s + d*s**3 and give m.
-60
Express 23*i - 6 + 6 in the form m + r*i and give r.
23
Express (1 + 0 - 2*k + 0*k)*(2 + 6 + 0) as s + n*k and give n.
-16
Express (2*c**2 - 2*c**3 - c**2 + c**2)*(-4*c - 5*c + 15*c) as x + g*c**2 + f*c + z*c**3 + a*c**4 and give a.
-12
Rearrange (-5 + 0 + 2)*(-2*d + 2*d - 2*d**2)*(-7*d + 18*d - 5*d) to the form x + g*d**3 + s*d + t*d**2 and give g.
36
Rearrange (6*r**3 + 3*r**3 + r**3)*(2*r + 0 + 0)*(-5 + 2 + 4)*(-6 + 4 + 4) - 2*r + 2*r**4 + 2*r to the form i*r + x*r**4 + s*r**2 + h*r**3 + t and give x.
42
Rearrange (-12*j**3 + 25*j - 25*j)*(10*j - 4*j + 8*j - 3*j) to the form i + b*j + k*j**4 + w*j**3 + p*j**2 and give k.
-132
Rearrange -16*s + 0*s - s + 0*s to w + i*s and give w.
0
Express -3 + 0*g**2 + 2 - 16*g**2 + 2 as d + f*g + o*g**2 and give d.
1
Rearrange 44*m**2 + 3*m**2 - 12*m**2 to the form i*m + w + r*m**2 and give r.
35
Express 58*z**2 + 1 - 10*z**2 - 1 in the form s + d*z + t*z**2 and give t.
48
Rearrange -3*z + 2*z + 18*z + 5 - 3*z - 5 - z + 2*z + 0*z - z + 3*z - 3*z + (-2 - 2 + 6)*(-z + 0 + 0) - z - 5*z + 4*z to b*z + y and give b.
10
Express 10*y - 17*y + 11*y + 2 in the form d + z*y and give d.
2
Rearrange -5*g**3 + 7*g**3 - 1 + 8*g**4 - 7*g**4 to the form l + x*g**3 + r*g**4 + j*g + h*g**2 and give h.
0
Rearrange (16 - 73 + 21 - 2*h)*(-h + h + 2*h) to the form a + p*h + m*h**2 and give a.
0
Express -j**3 - 2*j**4 + 5*j + 2*j + 0*j - 5*j as x*j + s*j**2 + f + v*j**3 + u*j**4 and give u.
-2
Rearrange (-22*l + 22*l + 4 - l**2)*(5 + 2 - 3) to f + v*l**2 + w*l and give f.
16
Rearrange (5*k**3 + k**3 + k - k**3)*(-4 - 4*k + 4) to the form r*k + o*k**4 + z*k**2 + v*k**3 + a and give z.
-4
Express (-2*m + 4*m + 5*m)*(-1 - 3 + 2) - 3*m + m + 3*m as y + i*m and give i.
-13
Rearrange -5*a**4 - 20 + a**3 + a**3 + 19 - 2*a**2 to n*a + q*a**3 + w*a**2 + p*a**4 + d and give d.
-1
Express -u**2 - 7*u - 6*u + 11*u in the form l*u + h*u**2 + p and give l.
-2
Rearrange (10 + 3*o - 10)*(2*o + 0 + 0)*(0 + 0 + 3*o**2)*(-1 - 3 + 3) to the form h + d*o**3 + l*o**2 + m*o + s*o**4 and give s.
-18
Rearrange (-17 - 10 - 18)*(-t**4 + 5*t**4 - 3*t**4) to i*t**3 + a + r*t**4 + f*t + k*t**2 and give r.
-45
Express (1794 + y**2 - 1794)*(2 + 3*y - 1 - 5*y) in the form c*y + h + k*y**2 + g*y**3 and give k.
1
Express -s**3 - s**3 + s**4 + 2 - 3 + 3*s**2 - s**2 in the form m*s + u + i*s**2 + g*s**3 + r*s**4 and give i.
2
Rearrange -m + 2*m**4 - m**2 - 1 + 3 - 4 + 3*m**2 to d*m + o*m**2 + c*m**3 + a*m**4 + f and give a.
2
Rearrange -20*n**3 - 1 - 17*n**3 + 0 to k*n**2 + z + w*n + s*n**3 and give s.
-37
Rearrange r + 3*r**4 + 0*r - 3*r - 5*r**4 + r**3 + 3*r**2 to the form f*r**3 + b*r**4 + i + k*r + c*r**2 and give k.
-2
Rearrange (6*x - 2*x - 2*x)*(0 - 3 + 2)*(0 - 2 + 1)*(-1 - x + 1) to the form a*x**2 + m + c*x and give a.
-2
Express 2*s - 2 - 454*s**2 - 5*s**3 + 454*s**2 in the form h*s**2 + g*s**3 + k + d*s and give g.
-5
Express -3*p + 5*p - p as q*p + d and give q.
1
Rearrange (0*o - o - o)*(8 - 1 - 1)*(-3*o + 1 - 1) to the form m + w*o**2 + s*o and give w.
36
Rearrange (11*f**2 + 3*f**3 - 11*f**2)*(13 - 3 + 0)*(0 + 0 - 2*f) to s*f**3 + z + h*f**4 + a*f**2 + o*f and give h.
-60
Rearrange -2 - a**2 - 4*a**3 - a**4 + 4*a**4 - 2*a**4 - 3*a**4 to s*a**2 + f*a + k + g*a**4 + l*a**3 and give g.
-2
Rearrange 3*d + 58*d**2 - 4*d + 3*d - d to the form c*d**2 + u*d + h and give c.
58
Rearrange -13*n + 9*n + 11*n to the form m*n + b and give m.
7
Rearrange -3 + 266*j + 7*j**2 - 266*j to c*j**2 + s + f*j and give s.
-3
Express 3*v**2 - 25 + 5*v**3 + 29 + 2*v - 3*v**3 as u + f*v**3 + w*v**2 + k*v and give k.
2
Rearrange 6*n - 61*n + 25*n to the form p*n + a and give p.
-30
Express 26*k + 6*k - 11*k as r + v*k and give v.
21
Rearrange -17*v**2 + 31*v**2 - 26*v**2 to z*v**2 + a*v + b and give z.
-12
Express -x + 13*x + 3*x as k + v*x and give v.
15
Rearrange 963 - 16*z**2 - z - 963 to the form w*z + x + i*z**2 and give w.
-1
Rearrange (1 - 1 + 15*o**2)*(-3 + 0 + 2)*(-5 - 2 + 2) to m*o + c*o**2 + t and give c.
75
Rearrange -13*j**3 + 6 + 0 - 4 + 36*j**3 to the form k*j**3 + h*j + f*j**2 + m and give k.
23
Express -33 + 32 - 2*z**2 - 3*z**3 - 2*z**2 in the form l*z**2 + r*z + m + p*z**3 and give m.
-1
Rearrange (-2*y - y + 4*y)*(7*y - 2*y - y) + (-2*y - 2 + 2)*(-2*y + 3*y + y) + y**2 + 2*y**2 - y**2 - 2*y**2 + 6*y**2 - 2*y**2 to i + z*y + v*y**2 and give v.
4
Rearrange (3 - 3 - 1)*(0*o**2 + o**2 + 0*o**2) + 49*o**2 - 25*o**2 - 20*o**2 - 4*o**2 + 3*o**2 + 2*o**2 to the form d*o + a + q*o**2 and give q.
4
Express -3*s + 49*s + 66*s as v + c*s and give v.
0
Rearrange (0*n + 2*n - 3*n)*(-4 + 5 - 3) + 88 - 88 + 199*n to z*n + i and give z.
201
Rearrange -d**2 + 4*d**3 + d**3 - d + 6*d**2 to the form a + x*d**2 + z*d**3 + j*d and give x.
5
Express -6*u - 2*u + u + u as d*u + r and give d.
-6
Express -1815 + 96*o**2 + 1815 as z + b*o**2 + l*o and give b.
96
Express (-y**2 + 2 - 2)*((-5 + 2 + 2)*(-4 + 2 + 0) - 3 + 25 - 4) in the form s*y + i*y**2 + c and give i.
-20
Rearrange -3 + 3 - 2*f + (-4 + 1 + 2)*(-2 + 3*f + 2)*(-1 + 2 + 1) to u + q*f and give q.
-8
Express 8*x**3 + 101*x**2 + 4*x**3 - x**3 - 99*x**2 as l + n*x**2 + c*x**3 + z*x and give c.
11
Express -8*c - 8 - c - 2*c**2 - 9*c + 17*c as l*c**2 + n*c + u and give l.
-2
Rearrange ((0 + 4 - 2)*(3 + 1 - 6) - 1 - 1 + 0 + 1 - 5 + 2)*(-h + 4*h + h)*(-4 + 2 + 4) to the form b + m*h and give b.
0
Express -3*z**3 + 5*z**4 - z**4 - 3*z**4 + 3 - z in the form c + f*z**4 + p*z**2 + b*z**3 + g*z and give g.
-1
Rearrange 3173 - 3173 - 138*w to the form q*w + m and give q.
-138
Rearrange (-1 - 2 - 1)*((l - 3*l + 7*l)*(-2 + 2 - 2*l) + (-3*l + 0*l + l)*(-3*l + l + 4*l)) to the form z + w*l + p*l**2 and give p.
56
Express 2*q + q**2 - 5*q**2 - 2*q + 5 in the form o + d*q + r*q**2 and give d.
0
Rearrange -j + 4 - 10 + 10 + 4*j**2 to c*j + i + s*j**2 and give s.
4
Rearrange 1 + s**2 + 0 - 2*s**3 + 3 - 2 to a*s + c*s**3 + n + f*s**2 and give n.
2
Rearrange (0*r**3 + 5*r**3 - 3*r**3)*(0*r - 2*r + r) + 4*r**4 + 0*r**4 + 2*r**4 to k*r + y*r**3 + j + a*r**4 + g*r**2 and give k.
0
Express 4*t - 4*t - 57*t**2 - 3*t**3 + 59*t**2 + 2 in the form f*t**2 + h*t + z*t**3 + n and give f.
2
Express -4*a + 7*a**2 - 6*a**2 + 2 - 3*a**2 - 3*a**3 in the form w*a**3 + g*a**2 + z*a + h and give h.
2
Express 197*h**2 - h - 57*h**2 - 98*h**2 in the form o*h**2 + j*h + y and give o.
42
Express (-6*v - 2*v + 7*v + 3)*(5*v - 96 - 4*v**2 + 96) in the form o + r*v + f*v**2 + z*v**3 and give z.
4
Rearrange 31 - 23 - 8 - 205*w to k*w + h and give k.
-205
Rearrange (2*n**3 + n**3 - n**3)*(1 - 3 - 1) - 2*n**3 + 2 - 2 + (3*n - 8*n + 2*n)*(-4*n**2 - 2*n**2 + 4*n**2) to the form j*n**2 + h + f*n + y*n**3 and give f.
0
Express 14*o**3 - 2*o - 15*o**3 + 15 + 1 in the form f*o**2 + x + i*o**3 + j*o and give i.
-1
Rearrange (-14 + 14 + 6*x)*(2*x**2 - 5*x**2 + 5*x**2) | {
"pile_set_name": "DM Mathematics"
} |
(7)
Simplify sqrt(27)*2*-2.
-12*sqrt(3)
Simplify (sqrt(143)/(1*sqrt(11)) + -2 + sqrt(325))**2.
-24*sqrt(13) + 472
Simplify (4*(sqrt(5) - (-1 + sqrt(5))) + -3)**2 + 5.
6
Simplify (sqrt(110) - (sqrt(110)*1 + sqrt(110))*-4)/sqrt(10).
9*sqrt(11)
Simplify (5*-2*sqrt(108) + 4*(sqrt(108) + -1*sqrt(108)))**2.
10800
Simplify (-1 + sqrt(833))**2 + 4.
-14*sqrt(17) + 838
Simplify -2*(-6*(-6*sqrt(119) + sqrt(119)))/sqrt(7).
-60*sqrt(17)
Simplify (5 + -2*sqrt(180)*-4)**2.
480*sqrt(5) + 11545
Simplify (sqrt(95)/sqrt(5)*3 - (-2 + sqrt(171) + sqrt(171) + sqrt(171))**2)*4.
-6172 + 156*sqrt(19)
Simplify sqrt(91)/((-1*sqrt(63))/sqrt(9))*4.
-4*sqrt(13)
Simplify (5 + (sqrt(200)/(sqrt(10) + sqrt(40)/sqrt(4)))/((-2*sqrt(36))/sqrt(9)))**2.
-5*sqrt(5)/2 + 405/16
Simplify (sqrt(176) - (1 + sqrt(176))) + (sqrt(11) - ((2 + sqrt(99) - sqrt(11)) + sqrt(11))).
-2*sqrt(11) - 3
Simplify ((sqrt(1053) - (sqrt(1053) + -1)*4) + 2)**2.
-324*sqrt(13) + 9513
Simplify 2*(4 + ((sqrt(2) + (sqrt(6)/sqrt(3))**2)*2 - sqrt(2))*-5).
-32 - 10*sqrt(2)
Simplify (sqrt(1700) - (-4 + sqrt(1700)))*4.
16
Simplify sqrt(99)/(sqrt(27)/sqrt(3)*2).
sqrt(11)/2
Simplify (sqrt(152)*-2*-2)/sqrt(8).
4*sqrt(19)
Simplify 2*(1 + sqrt(6)/sqrt(2))*1.
2 + 2*sqrt(3)
Simplify sqrt(39)/(sqrt(27)*-1).
-sqrt(13)/3
Simplify (sqrt(7) - (1*sqrt(21))/sqrt(3))*2 + 0.
0
Simplify (-2*(sqrt(17) + ((1*sqrt(17) - sqrt(17)) + -4 - sqrt(17))))**2.
64
Simplify ((sqrt(304) - (-3 + (-1*sqrt(304) - sqrt(304)))) + (-1 + sqrt(304))*-4)**2.
-56*sqrt(19) + 353
Simplify (sqrt(3) - (4 + sqrt(147))) + 2.
-6*sqrt(3) - 2
Simplify (5 + sqrt(5) + sqrt(5) + 0)**2 - -5*sqrt(45).
45 + 35*sqrt(5)
Simplify (1*(sqrt(19)*5)**2 + -5)*-2.
-940
Simplify sqrt(51)/(sqrt(2187) + sqrt(27)).
sqrt(17)/30
Simplify ((sqrt(1331) + 0)*1*-2)**2.
5324
Simplify (sqrt(1372)*1)/(sqrt(4) + 2*sqrt(4)*1).
7*sqrt(7)/3
Simplify sqrt(343)*2*1.
14*sqrt(7)
Simplify (((sqrt(19) - (sqrt(19) + sqrt(152)/sqrt(8))) + 1)**2 + -1)*5.
-10*sqrt(19) + 95
Simplify (-4 + sqrt(2448) + -2)**2.
-144*sqrt(17) + 2484
Simplify (sqrt(95)*-1*-3 - sqrt(95))/(sqrt(35)/(sqrt(7)*-2)).
-4*sqrt(19)
Simplify ((-1 + sqrt(637)*-2 - sqrt(637) - -3*(sqrt(637) + 0 + sqrt(637))) + 2)**2.
42*sqrt(13) + 5734
Simplify (sqrt(99) - (sqrt(99) + (sqrt(99) + sqrt(99)*-1 + sqrt(99))*-1 - sqrt(99)) - sqrt(99))/sqrt(9)*-4.
-4*sqrt(11)
Simplify (4 + sqrt(4)/(-4*sqrt(2))*3)**2.
-6*sqrt(2) + 137/8
Simplify 1 + sqrt(612) + -1.
6*sqrt(17)
Simplify -4*sqrt(66)/sqrt(54).
-4*sqrt(11)/3
Simplify 3*sqrt(2) + sqrt(2) + -3 + sqrt(2) + (sqrt(288) - sqrt(288)*-1).
-3 + 29*sqrt(2)
Simplify 3*((sqrt(272))**2 + 4).
828
Simplify 1 + ((sqrt(20) - (1 + sqrt(720))) + -1 + sqrt(20) + 1)**2.
16*sqrt(5) + 322
Simplify (sqrt(1088) - 2*sqrt(1088))*-2.
16*sqrt(17)
Simplify (-5*(-2 + sqrt(176)) + -5)**2.
-200*sqrt(11) + 4425
Simplify 3*(2 + sqrt(288)).
6 + 36*sqrt(2)
Simplify (sqrt(10)/sqrt(2) + 2)*6.
12 + 6*sqrt(5)
Simplify (sqrt(13) + -1 + 2 - (sqrt(1573) + 0)**2)*-6.
-6*sqrt(13) + 9432
Simplify (sqrt(171)/sqrt(9) + sqrt(19) + 2)**2 - 2*sqrt(475).
-2*sqrt(19) + 80
Simplify sqrt(13) + 1 + -4 + (sqrt(104)/sqrt(8))**2*-5.
-68 + sqrt(13)
Simplify -1 + sqrt(3) + (sqrt(9)/sqrt(3))**2 - (-1 + sqrt(192))**2.
-191 + 17*sqrt(3)
Simplify (3*sqrt(5))**2*-5 + 1 + sqrt(20).
-224 + 2*sqrt(5)
Simplify (sqrt(56)*4)/sqrt(8) + sqrt(28) + -2.
-2 + 6*sqrt(7)
Simplify 1 + (-3*sqrt(270))/sqrt(10).
-9*sqrt(3) + 1
Simplify 4*3*(0 + sqrt(425))*-2.
-120*sqrt(17)
Simplify 4 + sqrt(3)*1 - (sqrt(27) + -5)**2.
-48 + 31*sqrt(3)
Simplify -4 + (3 + sqrt(288) - sqrt(288))**2.
5
Simplify 6*sqrt(12)/((sqrt(60)/sqrt(3))/sqrt(5)).
6*sqrt(3)
Simplify (sqrt(2000) - sqrt(2000)*-3)/(sqrt(4) - 4*-1*sqrt(4)).
8*sqrt(5)
Simplify 4 + 0 + (sqrt(13)*-3*-6)**2.
4216
Simplify ((0 + sqrt(468))*-1*2)**2.
1872
Simplify sqrt(52)/sqrt(4)*-1 + -4 + (0 + sqrt(117) + sqrt(13) + -5)**2.
-41*sqrt(13) + 229
Simplify (0 + sqrt(75))**2*5*4.
1500
Simplify (2*sqrt(288)*2 - sqrt(288))/sqrt(6).
12*sqrt(3)
Simplify sqrt(1008)*-2 + -5 - sqrt(1008) - 6*-2*sqrt(252).
-5 + 36*sqrt(7)
Simplify (-3*sqrt(120)/sqrt(2))/(sqrt(36)/sqrt(3)*5).
-3*sqrt(5)/5
Simplify -1 + sqrt(800) - (5*sqrt(6)/sqrt(3) - ((-1 + sqrt(2) - sqrt(2))*1)**2).
15*sqrt(2)
Simplify 4 + sqrt(1584) + 1 + 5 + 1.
11 + 12*sqrt(11)
Simplify (sqrt(22) - sqrt(88)*-2)/sqrt(11).
5*sqrt(2)
Simplify (sqrt(39)/(3*sqrt(12) - sqrt(3)))**2.
13/25
Simplify (sqrt(11) + sqrt(77)/(sqrt(21)/sqrt(3) + sqrt(7)))**2 + (sqrt(396) - (sqrt(396) + sqrt(396) + sqrt(396) + 0)).
-12*sqrt(11) + 99/4
Simplify ((sqrt(1700) + 1 - sqrt(1700)) + -2)**2.
1
Simplify (-1*(sqrt(175) - ((sqrt(175) + 1 - sqrt(175)) + sqrt(175) - sqrt(175)) - sqrt(175)))**2.
1
Simplify ((sqrt(20) - sqrt(720))*-3)/(sqrt(4) + ((sqrt(64)*-2 - sqrt(64)) + sqrt(4) + sqrt(4) - sqrt(4))).
-3*sqrt(5)/2
Simplify sqrt(19) + -1 + 0 + 2*sqrt(19)*2.
-1 + 5*sqrt(19)
Simplify sqrt(2299)*2 + 4 + -1.
3 + 22*sqrt(19)
Simplify sqrt(10)/(sqrt(245) + 2*sqrt(245) + sqrt(245)).
sqrt(2)/28
Simplify -1*(sqrt(7) - (1 + sqrt(63)))*-4.
-8*sqrt(7) - 4
Simplify (0 + sqrt(72)*-2)**2.
288
Simplify sqrt(396) + (2 + sqrt(396))**2 - ((sqrt(1100) + (2 + sqrt(1100) - sqrt(1100)))**2 - sqrt(11)).
-704 - 9*sqrt(11)
Simplify (sqrt(405)*-3)/(sqrt(90)/sqrt(160)) + 4.
-36*sqrt(5) + 4
Simplify (2*sqrt(171)*-6)/(sqrt(9) + sqrt(108)/sqrt(3)).
-4*sqrt(19)
Simplify (sqrt(5)*3 + 0)**2 - (sqrt(5) - (2 + -1 + sqrt(5) + sqrt(5))).
sqrt(5) + 46
Simplify sqrt(1872) - (-5 + (sqrt(1872) + (sqrt(1872) + sqrt(1872) + -4)**2 - sqrt(1872))).
-7499 + 204*sqrt(13)
Simplify (sqrt(2057)*-2 + -2 - (4 + sqrt(2057) + sqrt(2057)*2))**2.
660*sqrt(17) + 51461
Simplify 3*sqrt(588) + 3.
3 + 42*sqrt(3)
Simplify sqrt(30)/(-2*sqrt(6)) + -4*(sqrt(5) + 2 + sqrt(5)).
-17*sqrt(5)/2 - 8
Simplify ((-1*sqrt(450) - sqrt(450))/((sqrt(6) - sqrt(96))*-5))**2.
4/3
Simplify (-6*sqrt(57)/sqrt(3) + (sqrt(209) - sqrt(209)*1)/sqrt(11))**2.
684
Simplify 5*sqrt(26)/(sqrt(22)/sqrt(176)).
20*sqrt(13)
Simplify 2 + (-1 + sqrt(171))**2.
-6*sqrt(19) + 174
Simplify (3 + (sqrt(833) - (sqrt(833) + (sqrt(833)*1 - sqrt(833))))*-4)**2.
9
Simplify sqrt(18)/(2*sqrt(6)) + (sqrt(6)/sqrt(2))**2 + -5.
-2 + sqrt(3)/2
Simplify (3 + (sqrt(1900) - (0 + sqrt(1900))) + (sqrt(1900) - (sqrt(1900) + 0 - sqrt(1900))*1))**2 + 3.
60*sqrt(19) + 1912
Simplify (2*sqrt(15)/(sqrt(5)*-2))**2.
3
Simplify (sqrt(500) + 0 + sqrt(500))*5*6.
600*sqrt(5)
Simplify -2 + ((-1 + sqrt(99) - sqrt(11)) + 1)**2.
42
Simplify 4 + (sqrt(11) + 2)*-6.
-6*sqrt(11) - 8
Simplify (sqrt(9)/sqrt(3)*-3 - sqrt(768))**2*-4 + 5.
-4327
Simplify 1 + 5*(sqrt(5) + 2 + sqrt(5) + -2).
1 + 10*sqrt(5)
Simplify 5 + (sqrt(300)*-2)**2 + sqrt(300).
10*sqrt(3) + 1205
Simplify -4*(sqrt(2299) + -1)**2 - sqrt(2299) - sqrt(209)/(-1*sqrt(891) - sqrt(891)).
-9200 + 1387*sqrt(19)/18
Simplify (-1 + 0 + sqrt(3388))**2.
-44*sqrt(7) + 3389
Simplify (6*(3 + sqrt(11)*-1)*-6)**2 + 1.
-7776*sqrt(11) + 25921
Simplify 3 + (sqrt(5)*-1*-6)**2.
183
Simplify (-1 + 1 + sqrt(720)*-1)**2.
720
Simplify 0 + 3 + 3*sqrt(125).
3 + 15*sqrt(5)
Simplify sqrt(5)*2 + 1 + sqrt(5) - -3*(sqrt(45))**2.
3*sqrt(5) + 136
Simplify 0 + sqrt(176) + -4 + sqrt(11) + sqrt(22)/sqrt(2).
-4 + 6*sqrt(11)
Simplify ((0 + sqrt(539))*-4)**2 + -1.
8623
Simplify -1 + (sqrt(34) + sqrt(34)*1)/sqrt(2)*1.
-1 + 2*sqrt(17)
Simplify -5*(-4 + (sqrt(9)/(sqrt(3)*2))**2).
65/4
Simplify ((2 + sqrt(612))**2 + sqrt(612))*-6.
-3696 - 180*sqrt(17)
Simplify sqrt(78)/(sqrt(486)*2).
sqrt(13)/18
Simplify (0 + sqrt(76) + 3)*2.
6 + 4*sqrt(19)
Simplify (2 + (sqrt(13) + sqrt(91)/(sqrt(112) + sqrt(7) - sqrt(7)) - (-5 + sqrt(52))))**2.
-21*sqrt(13)/2 + 901/16
Simplify ((sqrt(88)*1)/sqrt(2))/(sqrt(48)/sqrt(48)).
2*sqrt(11)
Simplify (sqrt(132)/sqrt(48))**2*2 + (0 + sqrt(396))**2 + -5*sqrt(44)/sqrt(4).
-5*sqrt(11) + 803/2
Simplify ((sqrt(875) - (sqrt(875) + -1*sqrt(875)) - sqrt(875)) + sqrt(35))/(sqrt(28) + sqrt(112)).
sqrt(5)/6
Simplify sqrt(4)/(sqrt(12)/(sqrt(6)*3)).
3*sqrt(2)
Simplify ((sqrt(12)/sqrt(54) - sqrt(2)) + 1)**2 + 5.
-4*sqrt(2)/3 + 62/9
Simplify (sqrt(176)/(sqrt(20)/sqrt(5)))**2.
44
Simplify (sqrt(2) + -3*sqrt(2)*2)*-2 + (3*sqrt(2)*1 - (sqrt(2) + (sqrt(242) + 1)**2)).
-243 - 10*sqrt(2)
Simplify (1*(-1 + sqrt(11)) + sqrt(891)*2)**2.
-38*sqrt(11) + 3972
Simplify ((sqrt(117) - 6*(sqrt(117) - (3*sqrt(117) - sqrt(117))))/sqrt(9))**2.
637
Simplify (3*(s | {
"pile_set_name": "DM Mathematics"
} |
- 4*b - 3*b**2)*(0*b**2 + 2*b**2 - 3*b**2).
4*b**4 + b**3
Expand (-3 + 2 - 14*j + 3 + (2 - 2 + 2*j)*(-2 + 5 - 5))*(5*j**4 + 17*j**2 - 17*j**2).
-90*j**5 + 10*j**4
Expand (-3 + 2 - 1)*(j**2 - j**2 + j**3) - 431*j**3 - 804 + 804.
-433*j**3
Expand 0*y + y**3 + 0*y + y**2 + 2 + 2*y**3 + 40*y - 40*y + (6*y**2 + y - y)*(-2*y - 3*y + 2*y).
-15*y**3 + y**2 + 2
Expand (0 + 23 + 2)*(0 - 7 + 3)*(-n + 0*n + 2*n).
-100*n
Expand (-2*g + 2*g**3 + 2*g + (1 - 6 + 2)*(22 - 22 + 37*g**3))*(-4 + 2*g + 3 + 0).
-218*g**4 + 109*g**3
Expand (-32 + 32 - 5*m**3)*(-2*m + 1 - 1 + (-6*m + 0*m + 2*m)*(2 - 2 - 3)).
-50*m**4
Expand (2 + 1 + 3)*(146 - 146 + 10*w + (-2*w - 2 + 2)*(-2 + 4 - 1)).
48*w
Expand (-2*h**3 - 2 + 2)*(2 + 2 + 0 + (2 - 5 + 1)*(3 - 5 + 3))*(-3*h**2 + 4*h**2 - 3*h**2).
8*h**5
Expand ((4 - 4 + 2)*(2 + 1 - 4) - 4 - 1 + 4 + (-24 + 5 + 4)*(0 + 1 + 0))*(-3*m + 0*m + 2*m).
18*m
Expand (3 + 14 + 13)*(-17*t**2 + 184 - 184).
-510*t**2
Expand (w**3 + 0*w**3 - 3*w**3)*(-w**2 + 0*w**2 + 0*w**2) - 5*w**5 + 3*w**5 + w**5 + (55*w**3 - 7*w**3 - 25*w**3)*(1 + w**2 - 1).
24*w**5
Expand (-80*t - 81*t - 15*t)*((-t - t + 0*t)*(0*t**2 + t**2 - 2*t**2) - t**3 - 3 + 3).
-176*t**4
Expand (-34*x - 1525 + 1525)*(-2 + 3*x - 3*x - 3*x)*(-1 + 2*x + 1)*(x - 1 + 1).
204*x**4 + 136*x**3
Expand (9 + 13 - 14)*(x**4 + 2*x**4 + 3*x**4).
48*x**4
Expand (-10*d - 20*d - 18*d + (-2 + 1 + 0)*(0*d + d - 3*d))*(2*d + 0*d - d).
-46*d**2
Expand (c - 2*c + 3*c)*(-c - 3*c**2 + c) + (c - 6*c + 3*c)*(39*c**2 - 43*c**2 + 137*c**2).
-272*c**3
Expand -4*c - 2*c + 4*c + (3*c + 4*c - 5*c)*(-2 + 5 - 1) + (0*c - 4*c + 6*c)*(4 - 3 - 3) + 6225 - 98*c - 6225.
-100*c
Expand -3*s**3 + 2*s**3 - 5*s**3 + (s**2 + s**2 + 0*s**2)*(-1 + 1 + s) - 11*s - s**3 + 0 + 3 - 2.
-5*s**3 - 11*s + 1
Expand -165*i**2 + 63*i**5 + 165*i**2 + (i**4 - 3*i**4 + 4*i**4)*(2*i + i - i).
67*i**5
Expand (1 - 1 + t**2)*(-791*t + 164*t**3 + 791*t).
164*t**5
Expand (-4*b + 5*b + 0*b)*(-43*b**3 - b**3 + 4*b**3) + 4*b**4 - 3*b**4 + b**4.
-38*b**4
Expand ((0 + 6 + 1)*(-l + 3*l - l) - 3*l - l + 13*l)*(0*l**2 + 3*l**2 - l**2).
32*l**3
Expand 63*z**4 - 8*z**4 + 34*z**4 - z**4 + 0*z**4 + 0*z**4 + (1 + z**4 - 1)*(0 + 0 + 2).
90*z**4
Expand ((0 - c + 0)*(0 + 3*c + 0) + 0*c**2 - 8*c**2 + c**2)*(-8*c**2 - 2 - 2*c**3 + 7*c**2 + 7*c**3).
-50*c**5 + 10*c**4 + 20*c**2
Expand (-4 + 3 + 3)*(26 + 4 + 0)*(3*m**4 + 5*m**4 + 5*m**4).
780*m**4
Expand 2*p**3 - 5*p**3 + 0*p**3 + (-8*p**3 + 41*p**3 + 5*p**3)*(2 - 2 + 3).
111*p**3
Expand 2*y**3 + y**2 - y**2 + (0 + 1 - 3)*(-4*y**3 + 16*y**3 + 12*y**3).
-46*y**3
Expand (-3 + 2 - 1)*(-2*r - r - r + 4).
8*r - 8
Expand (2 + 2*q**2 - 2)*(-q + 2 - 2) + 0*q**3 + q**3 - 4*q**3.
-5*q**3
Expand -3*a**4 + a**4 + a**4 - 9 + 9 + 3*a**4 + (-56*a - 18*a**2 + 56*a)*(-3*a**2 + 0*a**2 + 5*a**2).
-34*a**4
Expand (d + d + 0*d)*(3 + 4 - 4)*(7*d - d - 2*d)*(0 - 1 + 3)*(16 + 23 - 28)*(-4*d - d + 3*d).
-1056*d**3
Expand (14*v**2 + 9*v**2 - 48*v**2)*(-3*v + v + 5 - 4).
50*v**3 - 25*v**2
Expand (0 + 0 - 2)*(3*y + 0*y - 2*y) + (16*y - 8 - 9*y - 4*y)*(5 - 2 - 4)*(4 + 0 - 2).
-8*y + 16
Expand (5*d + 4 - 5 - 1)*(d - 2*d - 5*d).
-30*d**2 + 12*d
Expand (10*i + i - 2*i)*(3*i - 5*i + 4*i + i**3).
9*i**4 + 18*i**2
Expand -2*d + 2*d + 5*d**3 + (2 - 6 + 1)*(1 - 1 + 4*d)*(3*d - 3*d - d**2).
17*d**3
Expand (b - 2*b + 0*b)*(b - 2 + 2) - 12*b**2 - 4*b**2 - 3*b**2.
-20*b**2
Expand (8*x**2 + 11*x**2 - 6*x**2)*(30*x - 17*x - 23*x - 1).
-130*x**3 - 13*x**2
Expand ((2*j**3 - 2*j**3 - j**3)*(-2 - 4 + 3) - j**3 - 5*j + 5*j)*(2*j - 2*j + j)*(3*j + j - 3*j + (-j - 5 + 5)*(-4 + 3 + 5)).
-6*j**5
Expand (0*f - 7*f**3 + 0*f)*(21 - 43 - 17).
273*f**3
Expand 6*o - 3*o - 8*o**5 - 5*o + (4 - o**4 - 4)*(2*o - o - 4*o).
-5*o**5 - 2*o
Expand (-2*p**3 + p**3 - p**3)*(2 - 3 + 0) - 1888*p**3 - 78828 + 78828.
-1886*p**3
Expand (3 - 2*q - 3)*(0*q + 0*q + 4*q**4) - 9*q**5 + 0*q**5 - 27*q**5 - 2*q + 2*q**5 + q - q.
-42*q**5 - 2*q
Expand -5*a**2 + 5*a**2 - 2*a**5 + (-1 - 2*a**4 + 1)*(-2*a - 2*a + 6*a) + 1 - 1 + 2*a**5 + 4*a**5 - 30*a**5 - 12*a**5.
-42*a**5
Expand (0*h + h - 3*h)*(58*h**3 - 30*h**3 - 32*h**3).
8*h**4
Expand (33*v - 118*v + 27*v)*(-1 - 2 + 1).
116*v
Expand (3*t - t + 40*t)*(-t - 2*t + 4*t) + (-1 + 1 - t + (0*t + t + t)*(2 - 1 + 0) - 2 + 2 + t - t - 3*t + 5*t)*(-4 + 4 - t).
39*t**2
Expand (5 + 0 - 3)*(42*y + 41*y - 45*y)*(-2 + 5 - 4) + 2*y + y - 2*y + (5 - 3 - 3)*(2*y - 6*y + 2*y).
-73*y
Expand (2 + 1 - 5)*(2*a**3 - 11365*a - 2*a**2 - a**4 + 11365*a).
2*a**4 - 4*a**3 + 4*a**2
Expand (-2*z + 8*z + 3*z)*(-z**2 + 0*z**2 + 3*z**2)*(z - 2*z + 4*z).
54*z**4
Expand (2 + 1566*p - 791*p - 756*p)*(-p - 2*p + 0*p).
-57*p**2 - 6*p
Expand (679*o**3 + 1012*o**3 - 2229*o**3)*(3 + 0 - 2).
-538*o**3
Expand (-1 - 18 - 6)*(31*x + 10*x - 7*x + 43*x).
-1925*x
Expand ((-3*u + 0*u + u)*(-1 - 3 + 3) - 2 + 6*u + 2 + 4*u + 0 + 0 + (-4 + 4 + u)*(-5 + 4 + 2))*(-3 - 1 + 3).
-13*u
Expand j + 2*j - j - 3*j - 2*j + 7*j + j + j - 3*j + (0 + 4 - 3)*(0 + 2*j + 0) + j - 4*j + 4*j + 2*j - 2*j + 2*j + 273*j + 279*j - 545*j - 3.
15*j - 3
Expand (-3 + 9 + 8)*((-2 - 4*b + 2)*(0 - b + 0) + 3*b**2 - 6*b**2 + b**2 - b**2 - b**2 + b**2).
14*b**2
Expand (0*w + w + 0*w)*(554*w - 188*w + 498*w).
864*w**2
Expand (-6*x + 4*x + 4*x + (-2 + 0 + 1)*(2*x + x + 0*x + (3 + 1 - 3)*(2*x + x - 2*x) + 2*x - 2*x - 2*x + x - 3*x + 4*x))*(0*x - 4*x + 0*x).
8*x**2
Expand (-3*m - 4 + 4)*(2*m**3 - 7*m**3 + m**3)*(3*m + 7*m - 4*m).
72*m**5
Expand (-27*m - 25*m + 208*m)*(-m + 1 + 0*m - 7*m).
-1248*m**2 + 156*m
Expand o + 0*o + o - o - 4*o + 3*o + (-o + o + 2*o)*(3 + 1 - 6) - 3 + 3 - 2*o - o - 2*o + o + (o + 3*o - 3*o)*(-6 + 3 + 2) + 4*o - o - o.
-7*o
Expand (-387*j - 450*j + 223*j - 47*j)*(-7 - j - 1 + 3).
661*j**2 + 3305*j
Expand (-s - 2*s + s)*(-2*s**2 + 0 + 0) + 14292*s + 36 + 5*s**3 - 14292*s.
9*s**3 + 36
Expand q**4 + 2*q**4 - q**4 - q**4 - q**3 + q**3 + (3*q**2 + q**2 - 6*q**2)*(0 + 2*q**2 + 0) + 4*q - 4*q**4 + q**4 + 2*q**4 - 2*q**3 - 2*q**3 + q**4 + 2*q**3.
-3*q**4 - 2*q**3 + 4*q
Expand (3 - 5 + 0)*(-2*m + 6 - 2 + 5) - m + 3*m + 0*m.
6*m - 18
Expand (-606*b - 366*b**2 + 142*b**2 + 609*b)*(0*b - b - b)*(-1 + 2*b**2 + 1).
896*b**5 - 12*b**4
Expand (-887 - 1052 - 1514 - 1243)*(2*r**2 + 0*r**2 - 4*r**2).
9392*r**2
Expand (z**3 - 3*z**4 - z**4 - 2*z**3)*(-32 + 31 + 37).
-144*z**4 - 36*z**3
Expand (-2 - 2 + 3 + (-2 + 0 + 3)*(0 + 1 + 1) - 1 + 10 - 1)*(-j + 0*j - 3*j).
-36*j
Expand (2*o - 3*o - o)*(2 + 6 - 7)*(-1 - 10 + 8).
6*o
Expand (0*h**4 + 2*h**4 - 3*h**4)*(4*h - h - 5*h) - 5*h**4 - 2*h**5 + 5*h**4 - h**5 + 0*h**5 - 6*h**5 + (3*h + 3*h - 4*h)*(2*h**4 - h**4 - 2*h**4).
-9*h**5
Expand (-h**3 - 3 + 3)*(2 - 4 + 1) + h**3 - 2*h**3 + 3*h**3 - 2*h**2 + 2*h**2 - 2*h**3 + (-3*h**2 + h**2 + 4*h**2)*(312 - 123*h - 312).
-245*h**3
Expand (-1 + 6 - 4)*(2 + 2*h - 2) + (0 - 14 + 7)*(-2*h - 2 + 2).
16*h
Expand (4*f**2 - f**2 - f**2)*(-6*f + 4 - 4) + 7*f**3 - 7*f**3 + 2*f**3.
-10*f**3
Expand 11*i**3 - 110778*i**2 + 110778*i**2 + (4*i - 5*i + 3*i)*(i**2 - 3 + 3) - i + i**3 + i.
14*i**3
Expand -20 - u**3 + 20 + (5*u - u - 3*u)*(-2 + 2*u**2 + 2) + 2*u**2 - 2*u**2 + 2*u**3 + u + 2*u**3 - u + (8*u + 0*u - 4*u)*(0*u**2 - 2*u**2 + 3*u**2).
9*u**3
Expand (25*x**2 - 23*x**2 + 29*x**2)*(-5 - 5*x**2 + 5).
-155*x**4
Expand -5*z + z + 3*z + (-4*z + 9 - 9)*(18 + 2 - 38).
71*z
Expand ((-4 + 6 - 1)*(1 - 1 - c) + 5 - 5 - 2*c)*(-14*c**2 + c**3 - 5*c**3 + 12*c**2).
12*c**4 + 6*c**3
Expand (-1 + 1 + 2*m)*(3*m + 2*m - 3*m)*(0 - 3 + 1 + (1 - 4 + 2)*(2 - 4 + 0) + 0 + 0 + 1)*(-3 + 2 + 2).
4*m**2
Expand 3110*v - 3110*v - 12*v**2 + 1 + (1 - 1 + 1)*(-2*v**2 - v**2 + 2*v**2) + (-5*v + 3*v + v)*(-2 + 2 + v).
-14*v**2 + 1
Expand (2*w - w + 2*w)*((-2*w + 2*w - 2*w**2)*(w**2 + 0*w**2 + w**2) - w + w - w**4) + w**3 - 4897*w**5 + 0*w**4 + 2*w**4 + 4902*w**5.
-10*w**5 + 2*w**4 + w**3
Expand (3*f**4 - 4*f + 4*f - 11*f)*(9 + 0 + 9).
54*f**4 - 198*f
Expand (4*z**4 + z**4 - z**4 - 5*z**4 + 3*z**4 + 3*z**4 + (2*z - 6*z + 5*z)*(3*z**3 - 5*z**3 + 0*z**3))*(26*z - 53*z + 83*z).
168*z**5
Expand 14*c**2 - 80*c + 80*c + (-5 - c + 5)*(c - 3*c + 4*c).
12*c**2
Expand (6*z - 3*z - z)*(0*z**2 + z**2 + 4*z**2 + 1 + (5*z - 6*z + 30*z)*(-2 - z + 2)).
-48*z**3 + 2*z
Expand (3*t**2 - t**2 + t**2)*(-26 + 35 + 4*t - 42).
12*t**3 - 99*t**2
Expand (0*v - v - v)*(-3 + 4 + 2) - v + 3*v + 0*v + 0*v + 6*v - 3*v + | {
"pile_set_name": "DM Mathematics"
} |
). Calculate a(j(o)).
-25*o**4
Let j = -6 - -10. Let x(o) = -3*o**2 - 2*o**2 + j*o**2 + 0*o**2. Let z(y) = -6*y. Calculate z(x(c)).
6*c**2
Let q(r) = r**3 + r - 2. Let g be q(0). Let m(f) = f**3 + 2*f**2. Let u be m(g). Let h(y) = u*y**2 + 2*y**2 + y**2 - y**2. Let k(z) = -z**2. Determine k(h(l)).
-4*l**4
Let v(u) = -6*u + 29. Let w(x) = -x**2. What is w(v(n))?
-36*n**2 + 348*n - 841
Let y(p) = -p. Let d(t) = t + 1937. Calculate y(d(b)).
-b - 1937
Let f(j) = -4*j**2 - 2. Let b(h) = -17*h + 56*h - 20*h - 18*h. What is b(f(s))?
-4*s**2 - 2
Let v(b) be the second derivative of b**3/2 + 32*b. Let j(u) = 52*u. Determine v(j(t)).
156*t
Let h(c) be the third derivative of c**4/6 - 5*c**2. Let v(s) = 3*s**2. Calculate h(v(t)).
12*t**2
Let x(b) = -b. Let k(w) = -6*w**2. Determine x(k(z)).
6*z**2
Let a(i) = 6*i. Let p(y) = y**2 + 10*y. Give a(p(f)).
6*f**2 + 60*f
Let s(n) = -5*n**2. Let g(p) = p**2 + 212. Calculate g(s(d)).
25*d**4 + 212
Let s(k) = -k**2. Let m(g) be the third derivative of 0*g**4 + 0*g + 0*g**3 + 0 - 1/60*g**5 + 5*g**2. Give s(m(y)).
-y**4
Let s(x) be the third derivative of -x**4/6 - x**2. Let r(d) = d - 1. Let f(t) = 5*t - 4. Let v(b) = -f(b) + 4*r(b). What is s(v(a))?
4*a
Let v(s) = s**2 - 7*s. Let h(y) = -2*y. Let a(b) = 7*h(b) - 2*v(b). Let q(c) = 4*c. Calculate q(a(i)).
-8*i**2
Let g(c) = -32*c. Let i(s) = -2*s**2. Determine i(g(p)).
-2048*p**2
Let y(j) be the second derivative of -3*j + 1/4*j**4 + 0*j**3 + 0 + 0*j**2. Let u(s) = -s**2. Determine u(y(l)).
-9*l**4
Let u(g) = 82*g**2. Let f(c) be the second derivative of -c**4/12 + 14*c. What is u(f(l))?
82*l**4
Let r(j) = -3 + 3 + 2*j**2. Let g(y) = -5*y + 6 - 6. What is r(g(d))?
50*d**2
Let s(k) = 7*k. Let t(v) = -266*v. Let j(q) = 77*s(q) + 2*t(q). Let d(n) be the third derivative of -n**5/30 - 3*n**2. Determine j(d(h)).
-14*h**2
Let w = 3 - 1. Let d(x) = -4*x**2 + 2*x - x**2 - w*x. Let r(o) = 2*o. Give r(d(n)).
-10*n**2
Let y(h) = -h - 1. Let p(r) = r - 2. Let x = -1 - 0. Let z(b) = x*p(b) + 2*y(b). Let s(w) = w. What is z(s(l))?
-3*l
Let u(h) = 15*h + 2. Let v(q) = -q. Calculate v(u(m)).
-15*m - 2
Let w(j) = j**2. Let n(b) be the third derivative of -2*b**2 + 1/60*b**5 + 0 + 0*b + 0*b**3 + 0*b**4. Determine w(n(p)).
p**4
Let l(x) = -4*x + x + 3*x + 3*x. Let o(c) be the second derivative of c**4/12 + 2*c. Calculate o(l(k)).
9*k**2
Let n(k) = -2*k**2. Let m(z) = 768*z. What is m(n(q))?
-1536*q**2
Let j(h) = -5*h**2. Let w(y) = -2*y. Let d(z) = 2*z. Let l(o) = -5*d(o) - 6*w(o). Give j(l(k)).
-20*k**2
Let q(x) = 4*x. Let z(j) = 11*j**2 + 2. Determine z(q(h)).
176*h**2 + 2
Let m(z) be the third derivative of -5*z**4/24 + z**2. Let i(x) = 4*x + 2. Let o(q) = -9*q - 5. Let d(l) = 5*i(l) + 2*o(l). Determine d(m(y)).
-10*y
Let p(i) = 3*i. Let u be (0 - 6)*2/(-6). Let v(j) = -j**u + 8 - 8. Calculate p(v(t)).
-3*t**2
Let z(w) be the second derivative of -w**4/12 - 3*w. Let p(d) = 9*d**2. Determine p(z(x)).
9*x**4
Let g(t) = -77*t**2. Let p(x) = -7*x**2. Calculate p(g(r)).
-41503*r**4
Let i = 0 + 2. Let o(m) = 0*m - 3*m - i*m + 6*m. Let r(j) = -2*j**2. Calculate o(r(k)).
-2*k**2
Let y(k) = -1. Let z(a) = -3*a - 3. Let w(p) = 3*y(p) - z(p). Let v(q) = -19 + 2*q + 19. What is v(w(b))?
6*b
Let l(n) be the second derivative of 0 - 1/3*n**3 - 3*n + 0*n**2. Let w(h) = 7*h. Calculate l(w(k)).
-14*k
Let p(q) = -q + 11. Let t be p(9). Let x(d) = d**2 + 2*d**t + 3*d**2 - 4*d**2. Let g(f) = 4*f + 0 + 0. What is g(x(k))?
8*k**2
Let t(f) = 2*f**2. Let d(y) be the first derivative of 8/3*y**3 - 5 + 0*y + 0*y**2. Give d(t(b)).
32*b**4
Let g(a) = -3*a. Let z(i) = -9*i**2 - 11*i**2 + 23*i**2. Determine z(g(h)).
27*h**2
Let v(u) = -2*u**2. Let p(g) = -138*g**2 - 13*g + 13. Let l(z) = -23*z**2 - 2*z + 2. Let o(w) = -39*l(w) + 6*p(w). Give o(v(b)).
276*b**4
Let z(q) = -1. Let m(v) = v**2 + 5. Let s(o) = m(o) + 5*z(o). Let f(d) = -31*d. Give f(s(x)).
-31*x**2
Let g(h) = -179*h + 4 + 182*h - 4. Let t be 1*(-6)/(1*-2). Let z(b) = t*b - b - b. What is z(g(v))?
3*v
Let r(p) = -100*p. Let y(i) = -6*i. Give r(y(n)).
600*n
Let p(r) = -r. Let u be (-3)/4 - (-19)/4. Let q(z) = u*z**2 - 5*z**2 - 2*z**2. What is q(p(k))?
-3*k**2
Let h(s) be the first derivative of -s**3/3 + 1. Let y(b) = 2*b**2 + 3*b. Let p(t) = 6*t**2 + 8*t. Let r(l) = 3*p(l) - 8*y(l). Give r(h(n)).
2*n**4
Suppose 0 = -5*u - 3*d + 3, 2*u = 3*d - 2 - 1. Let o(z) = 0*z**2 + u*z**2 - 3*z**2. Let a(n) = -2*n**2. Determine a(o(k)).
-18*k**4
Let v(x) be the third derivative of -x**7/840 + x**4/12 + 9*x**2. Let l(b) be the second derivative of v(b). Let w(f) = -f. Determine l(w(h)).
-3*h**2
Let m(x) = 5*x. Let r(a) = 4*a**2 - 6. What is m(r(u))?
20*u**2 - 30
Let k(p) = -2*p. Suppose 3*m + m + 24 = 2*a, 2*m - 8 = -4*a. Let c(g) = -2*g + a*g - g - 4*g. Determine k(c(l)).
6*l
Let a(k) = 8*k + 7. Let x(h) = -2*h. Calculate a(x(d)).
-16*d + 7
Let h(y) = -3*y**2. Suppose 16*s - 57 = 7. Let f(q) be the third derivative of 0 + 1/8*q**s + q**2 + 0*q**3 + 0*q. Determine f(h(g)).
-9*g**2
Let l(o) = -2*o**2 - 22*o + 22*o. Let a(y) be the first derivative of 4 - 1 - 1 + y**2. Determine l(a(d)).
-8*d**2
Let n(z) = 13*z. Let p(u) = -36*u**2. Give p(n(l)).
-6084*l**2
Let b(z) = -10*z**2 - 7*z. Let a(y) = -7*y**2 - 5*y. Let g(k) = 7*a(k) - 5*b(k). Let s(h) = -3*h + 7*h + h**2 - 4*h. Determine s(g(m)).
m**4
Let f(o) be the first derivative of 0*o**2 - 2/3*o**3 - 1 + 0*o. Let a(u) = -5*u**2. Determine f(a(g)).
-50*g**4
Suppose -b + 3 = -d, d - 3*d + 8 = 5*b. Suppose 0 + b = q. Let n(v) = 5*v + 2*v - q*v. Let a(r) = -2*r**2. Determine n(a(h)).
-10*h**2
Let i(b) be the third derivative of b**5/30 + b**2. Let v(q) be the first derivative of 1/3*q**3 + 0*q + 1 + 0*q**2. What is v(i(y))?
4*y**4
Let i(s) = -2*s**2. Let r(p) be the third derivative of p**5/20 - 12*p**2. What is r(i(a))?
12*a**4
Let i(s) be the first derivative of 2 + 0*s - 1/2*s**2. Let o(k) = -14*k. What is i(o(p))?
14*p
Let g(q) = 5*q - 6. Let o(z) be the second derivative of z**3/3 - 11*z - 1. What is g(o(r))?
10*r - 6
Let c(z) = -5*z - 589. Let a(y) = -y. Determine c(a(v)).
5*v - 589
Let h(g) = -4*g**2. Suppose 5 = 5*l + 3*d - 16, -4*d + 2 = -2*l. Let y(j) = -j + 3*j + 0*j - l*j. Calculate y(h(p)).
4*p**2
Let d(y) = -y + 7. Let l be d(6). Let g(p) be the first derivative of p**3 - l + 0*p**3 + 0. Let u(x) = -2*x. Calculate u(g(w)).
-6*w**2
Let q(s) = -25 + 10 - s + 15. Let y(d) = 7*d. Let o(k) be the second derivative of k**3/6 + 3*k. Let g(j) = -18*o(j) + 2*y(j). Determine g(q(a)).
4*a
Let w(u) be the first derivative of -u**2 + 5. Let q(m) be the third derivative of -m**5/12 - m**2. Calculate q(w(s)).
-20*s**2
Let b(o) = -8*o. Suppose 24 = -3*p + 6*p + 3*q, -2*q + 12 = p. Let g(v) = -11 + 2*v**2 + p + 7. Give b(g(a)).
-16*a**2
Let i(l) be the first derivative of 0*l**2 + l**2 + 0*l**2 + 0 + 2. Let y(g) = 5*g. Give y(i(u)).
10*u
Let a(h) = 6*h**2. Let x(c) = 3164*c**2. Calculate x(a(d)).
113904*d**4
Let g be 9/(-6)*16/(-6). Let t = g + -1. Let n(p) = -3 + p + t. Let b(s) = -3*s. Determine b(n(h)).
-3*h
Let h(o) be the second derivative of -o**4/12 - o. Suppose -2*y - 9 = -5*y. Let v(m) = -2*m - 3*m + y*m. Give h(v(i)).
-4*i**2
Let r(p) be the first derivative of -11*p**2/2 - 9. Let w(k) = 2*k**2. Calculate r(w(h)).
-22*h**2
Let a(i) = -9*i**2 + 2*i - 2*i. Let x(c) = -8*c**2. What is x(a(d))?
-648*d**4
Let o(n) = 5*n + 9. Let v(w) = w + 2. Let q(d) = -2*o(d) + 9*v(d). Let l(m) = 8*m**2. Determine q(l(s)).
-8*s**2
Let v(m) = m**2. Let u(j) = 31*j + 3*j - 2*j. Determine v(u(d)).
1024*d**2
Let x(p) be the first derivative of p**4/24 + p**2/2 - 1. Let n(m) be the second derivative of x(m). Let s(i) = 2*i**2. Give n(s(w)).
2*w**2
Let y(c) = -2*c. Let x be 0/((12/2)/3). Let g(v) = x*v**2 - 2*v**2 + 2*v**2 + 2*v**2. Give g(y(u)).
8*u**2
Let f(u) = -u**3 - 5*u**2 - 7*u - 6. Let b be f(-4). Let c(q) = -q + 2*q - b*q. Let w(t) = -t**2. What is w(c(m))?
-25*m**2
Let l = -5 + 6. Let b(y) = -y - 1. Let d(j) = 4*j + 3. Let p(w) = l*d(w) + 3*b(w). Let x(o) = 2*o**2. Give x(p(g)).
2*g**2
Let n(r) = -114*r**2. Let v(h) = 2*h. Determine v(n(c)).
-228*c**2
Let s(n) = 2*n**2. Let v(p) be the third derivative of -5*p**4/24 - 7*p**2. Give v(s(b)).
-10*b**2
Let k(t) = 11*t + 30. Let c(d) = -5*d**2. What is c(k(p))?
-605*p**2 - 3300 | {
"pile_set_name": "DM Mathematics"
} |
*t + 1 - 1)*(0*t + 3*t - 5*t) - 2*t + 2*t**2 + 2*t + 0*t - 2*t**2 + 0*t in the form l*t**2 + v + u*t and give l.
-6
Rearrange -9*h + 2*h - 10*h to b*h + i and give b.
-17
Rearrange -5*t**2 + t**2 - 737*t + 743*t to u*t + f*t**2 + h and give f.
-4
Rearrange (3*v**2 - 3*v**2 + v**2)*(-2*v + 0*v + 0*v) + (-2*v**2 + 8*v - 8*v)*(0*v - v - v) to the form l*v**3 + b*v + r*v**2 + s and give l.
2
Express -2480*h + 2480*h - 4*h**2 - 14 as c + y*h + g*h**2 and give g.
-4
Rearrange (-5 + 5 - 2*w)*(-25*w**3 - 14*w**3 - 52*w**3) to the form x*w**3 + u*w**4 + m*w + g*w**2 + r and give u.
182
Rearrange 0*f**4 - 81*f - 1 + 83*f - 2*f**3 + 2*f**4 + 2*f**2 to d*f**4 + l*f**2 + z + n*f + k*f**3 and give l.
2
Express (1 - g**2 - 1)*(52 + 8 - 145) as p*g + y*g**2 + m and give y.
85
Express 16*x**2 + 3 - 32*x**2 - 3 in the form s*x + h + b*x**2 and give s.
0
Rearrange -10*c**2 + c**3 + c + 13*c**2 + 10*c**2 + 10*c**2 to f*c + s*c**3 + q*c**2 + y and give q.
23
Rearrange -b**3 + 8*b**2 - b - 4*b**2 + 0*b + 11*b**2 to v*b**2 + h*b + y*b**3 + j and give y.
-1
Rearrange 16*l**2 + 2*l + 15*l**2 + 7 + 21*l**2 - 50*l**2 to the form t*l**2 + j + v*l and give t.
2
Rearrange (481 - 481 - 21*t**2)*(-3 + 3 + 3*t**2) to z*t + p*t**4 + n*t**3 + b*t**2 + r and give p.
-63
Express (0*d + 3*d - d)*(-4*d + 5*d**3 + 4*d + 0*d - d**3 + 0*d + (-4*d**2 + 0*d**2 + d**2)*(0 + 0 + 2*d)) as y*d**4 + m*d + l*d**3 + i + q*d**2 and give l.
0
Express -3*n**3 + 0*n**3 + 2*n**3 + 2*n**4 + 2 as z + h*n**2 + c*n**3 + o*n**4 + m*n and give z.
2
Express -2*p**4 + 1 + 3*p**3 - 7*p + 8*p + 3*p**4 in the form q + t*p**2 + o*p**4 + u*p**3 + y*p and give o.
1
Rearrange 18*c - 40*c + 8*c to f*c + r and give f.
-14
Express (2*v**2 + 0*v**2 + 0*v - 2*v)*(-18 + 18 - v) as i*v + g + c*v**2 + s*v**3 and give c.
2
Express (-3*m + m - 2*m)*((5 - 3 - 4)*(-2 + 0 + 3) - 5 - 3 + 4) as b*m + k and give b.
24
Rearrange ((-4 - 2*z + 4)*(3*z + 0*z - z) + z**2 + 10*z**2 - 5*z**2)*(4 + 3*z - 4) to j*z**3 + l*z**2 + m*z + a and give j.
6
Rearrange 20 + 174*l - 83*l - 89*l to the form j*l + o and give j.
2
Express -3*q + 4*q + 12*q + 7*q as a + h*q and give h.
20
Express -6*u**2 - 7*u**2 - u**2 in the form r*u + f + y*u**2 and give y.
-14
Rearrange (2*n + n - 4*n)*(-3*n - 13*n - n) to w + j*n**2 + c*n and give j.
17
Express 883*a - 880*a + a**3 - a**3 + 2*a**2 + 4*a**4 as j*a**3 + z*a**2 + k*a + q*a**4 + t and give j.
0
Express (-2*d**3 - 4*d**3 + 5*d**3)*(37*d - 10*d - 13*d - 2) as j*d**4 + q*d + y*d**2 + n*d**3 + l and give n.
2
Rearrange -h - 3*h + 6*h - 2*h + 2 - 2 + (-12 + 39 - 9)*(2*h - h + h) to the form x + v*h and give v.
36
Rearrange (13*h**4 - 5*h - 6*h**2 - 18*h**4 + 3*h**4)*(-1 + 1 + 1) to the form c*h**2 + n*h**4 + g + u*h + z*h**3 and give n.
-2
Express (0*h**2 - 14*h + 2*h**2 + 7*h)*(-5 + 2 + 2) as s + z*h + b*h**2 and give z.
7
Rearrange (4 - 2 + 0 + a)*(11 + a - 11) to b*a + o + f*a**2 and give f.
1
Express -6*q + 139*q - 8*q in the form g*q + u and give g.
125
Express -k + k + 0*k + 3*k as z*k + w and give z.
3
Rearrange 2*t + 0*t - 4*t + (-30*t + 60*t - 39*t)*(-1 + 1 - 2) + (2 - 2 - 2)*(5*t - 3*t - 4*t) to the form v*t + u and give v.
20
Express 12*r**2 + 5 + 4 - 11*r**2 in the form q*r + y + h*r**2 and give h.
1
Rearrange 10 - 6 - 5*f + 21*f to t*f + z and give t.
16
Express -15*z**2 - z**2 + 4*z**2 + (z + 0 + 0)*(-6*z + 0 - 2 - z) in the form w*z**2 + k + m*z and give m.
-2
Express (2*q - 3*q + 2*q)*(-5 - 2 + 25) + 6 + q - 5 + 0*q in the form y + r*q and give r.
19
Rearrange (0*h**2 - h**2 + 0*h**2)*(-3 - 1 + 2)*(3 + 5*h - 3) to the form z*h + x*h**3 + b*h**2 + v and give b.
0
Rearrange ((1 - 1 + 1)*(4 - 1 - 2) + 2 + 1 - 2)*(0 + 1 + 0)*(-5*i**2 + 2*i**2 + 0*i**2) to s*i + j + z*i**2 and give z.
-6
Express (-4 + 4 - 3)*((3*g**2 - 5*g**2 + 4*g**2)*(40*g**2 + 27*g**2 - 32*g**2) + 3*g**4 - 3*g**4 - 2*g**4) as l*g**2 + v + f*g**3 + u*g + w*g**4 and give w.
-204
Rearrange (2*j**2 + j**2 - 5*j**2)*(0 + 7 - 11)*(-2 + 4 - 5)*(0 + 3 - 5) to k*j + a + b*j**2 and give b.
48
Rearrange (0 - 3 + 5)*((-5 - 1 + 16)*(s**3 - 3*s**3 + 0*s**3) + 3*s**3 + 2*s**3 - 3*s**3) to the form r*s**3 + p*s + g*s**2 + j and give r.
-36
Rearrange -3*l + l**3 + 13*l - l**3 + 2*l**3 to the form s*l**3 + g*l**2 + v + t*l and give s.
2
Express -6*q + 3*q + q - 5*q**2 + 4*q as k*q**2 + u + f*q and give f.
2
Express -w**2 + w**2 - 7*w**2 as i*w + n*w**2 + k and give n.
-7
Rearrange -19*t**2 + 19*t**2 + 8*t**3 + (-2*t**2 - t**2 + 2*t**2)*(0*t - 2*t - 7*t) to d*t**3 + c*t**2 + m + k*t and give d.
17
Rearrange (-16*h + 2 - 34*h + 100*h)*(4*h**2 + h**2 - 6*h**2) to q + r*h**3 + w*h**2 + v*h and give r.
-50
Express 6 + 39*k + 8 - 14 as t + h*k and give h.
39
Express 1 - 3 - 3*b + 5*b in the form m*b + o and give m.
2
Express 47*p - 104*p + 11*p as j*p + d and give j.
-46
Rearrange -6*i**3 - 574 - i**2 + 573 - i**3 to the form x + j*i + y*i**2 + h*i**3 and give x.
-1
Rearrange 14 - 26 + 2*r + 13 + 3*r**3 to f*r**2 + v*r + w*r**3 + h and give w.
3
Express -3*u + 5*u - 2*u - 3*u as l*u + a and give l.
-3
Rearrange (18 - 36 + 15 - 33*w)*(0*w + 3*w - w) - 2*w**2 + 3*w**2 + 0*w**2 to a*w + o*w**2 + u and give a.
-6
Rearrange (-s**4 - 2*s**4 + 6*s**4)*(0 + 9 - 2) to the form l + d*s**2 + z*s**3 + i*s**4 + h*s and give i.
21
Rearrange 0*k**3 + 2*k**3 + 0*k**3 + (3*k**2 + 2*k**2 + 2*k**2)*(-2 + 8*k + 2 + 1) to the form z + f*k + j*k**2 + s*k**3 and give j.
7
Express 4 - 4 - 2*y**4 + (-2 + 2 + y**2)*(-2*y**2 + 1 - 1) as c*y**3 + l*y**4 + w + r*y**2 + o*y and give l.
-4
Express -31*v - 53*v**2 + v - 1 + 30*v as t + f*v + g*v**2 and give t.
-1
Express (-8*n + 2*n + 3*n)*(-10*n - 20 + 20) as s + p*n**2 + j*n and give p.
30
Rearrange -w**4 - w**4 + 3*w**4 + 2 + w + w**3 + 0*w to v + x*w**4 + h*w**3 + m*w**2 + i*w and give m.
0
Rearrange 2 - 24*r + 24*r - 3*r**3 to the form g + x*r**3 + i*r + d*r**2 and give x.
-3
Rearrange (5*u + u - 2*u)*(3 - 1 - 4)*(-3 + 3 + 2)*(1 + 2 + 0) to y*u + t and give y.
-48
Rearrange 5*h - 2*h - 4*h - 4*h to the form v*h + q and give v.
-5
Rearrange (-j**2 + j**2 + j**2)*(0*j**2 + 3*j**2 - 4*j**2) + j**2 - j**2 - j**4 - 5*j**4 + 4*j**4 - 17*j**4 to m + p*j + b*j**2 + w*j**4 + t*j**3 and give w.
-20
Rearrange -4*s**2 - s - s**2 + 2*s - s**4 - 5*s**2 to the form p*s**4 + y + o*s**3 + b*s**2 + m*s and give m.
1
Express 5 + h + 3*h**3 - 3 - 5*h**4 - 4*h - 4*h**3 as w*h**4 + d*h**3 + b*h + z*h**2 + n and give d.
-1
Express 32 - 32 + 5*h**2 + 5*h**3 as g + d*h + q*h**2 + m*h**3 and give m.
5
Express (-2*d**2 + 4*d**2 - 3*d**2)*(-2 - 2 + 6) - 4*d**2 + 2*d**2 + 3*d**2 + 59 - 59 + 21*d**2 in the form m*d**2 + x + c*d and give m.
20
Rearrange (191 - 191 + 150*b)*(b + 3*b - 3*b) to the form r + c*b + m*b**2 and give m.
150
Express (-4 + 7 - 2)*(2*a + 182 - 182) + 2*a - 3*a + 0*a as m*a + q and give m.
1
Express 3*o - 3 - 5*o - 4*o in the form b*o + g and give g.
-3
Rearrange i - 54*i**2 + 53*i**2 + i - 1 - i**3 to the form c*i**2 + q*i + z + f*i**3 and give f.
-1
Express (-365 + 29*y + 365)*(-6*y**3 + 4*y**3 + y**3) as p*y + n*y**2 + w*y**4 + z + a*y**3 and give w.
-29
Express -3*n + 2 + 8 - 8 as c + d*n and give d.
-3
Express (a**4 + a**4 - 3*a**4)*(2 - 1 + 1) + 24*a**4 + 5*a**4 - 12*a**4 + 4*a**4 - 2*a**4 + 0*a**4 as t*a**3 + h*a**4 + y*a + d*a**2 + l and give h.
17
Rearrange 19*m**2 - 4*m + 5*m - 5*m**2 to j*m**2 + y + i*m and give i.
1
Express (5*g**2 - 2*g**2 - 2*g**2)*(-g - 3*g + 5*g) - 5*g**3 + 2*g**3 - 5*g + 7*g in the form i + c*g + h*g**2 + j*g**3 and give c.
2
Rearrange (-1 + 2*z + 1)*(z - 5*z + 2*z) + 68*z**2 - 60*z**2 + 43*z**2 to the form x*z + b + a*z**2 and give a.
47
Express -m - 2*m**2 + 5 + 3*m - 2*m as r*m + b + j*m**2 and give b.
5
Express (10*k + 11*k + 9*k)*((-2*k + 0*k + 3*k)*(-4 - 3 + 5) + 3*k - 3*k + k + (2*k - 3*k - k)*(0 + 0 + 1)) in the form a*k**2 + n*k + t and give a.
-90
Express -5*v**2 - 5*v**2 - 12*v**2 + v**2 in the form j*v**2 + y + a*v and give j.
-21
Express 2*l**2 - 1 - 7 + 1 as k*l**2 + j*l + o and give o.
-7
Express -9*j + 3*j - 5*j**2 + 3*j**2 + j**2 as p + q*j**2 + r*j and give r.
-6
Rearrange w**2 - 3*w**2 - w**2 + (0*w**2 + 4*w**2 - 3*w**2)*(-6 + 2 + 2) - 2 + 2 + 4*w**2 to the form a*w**2 + y*w + r and give y.
0
Express 5*w + 11*w - 14*w as v + c*w and give c.
2
Rearrange -23 + 2*p + 23 + 9*p**3 | {
"pile_set_name": "DM Mathematics"
} |
False
Which is greater: -239 or 0.044?
0.044
Which is bigger: -7/3 or -800?
-7/3
Is 621 < 622?
True
Which is greater: 283/3 or 93?
283/3
Are -39 and -307/8 unequal?
True
Is 5238 at least as big as 5239?
False
Are -72/35 and -2 non-equal?
True
Which is smaller: 68 or 72?
68
Is -11/78 smaller than -1?
False
Which is greater: -52/9 or -1/2?
-1/2
Which is smaller: 7665 or 7664?
7664
Is 4066 greater than or equal to 4065?
True
Which is smaller: 183 or 178?
178
Which is smaller: 161 or 126?
126
Is -661 less than -666?
False
Which is smaller: -4 or -78?
-78
Which is bigger: -169 or -170?
-169
Is -9237 at most as big as -9236?
True
Which is greater: 1/16 or -1?
1/16
Is 1 at least 1/1419?
True
Which is bigger: -59/28 or -4?
-59/28
Which is smaller: 20 or -3?
-3
Is -36 smaller than -36?
False
Which is smaller: 0 or -3/196?
-3/196
Which is greater: -263 or -265?
-263
Which is smaller: 588 or -0.3?
-0.3
Which is smaller: -17.6 or -1?
-17.6
Which is bigger: -27192 or -27194?
-27192
Is -51 less than or equal to -50?
True
Which is smaller: -69 or -307?
-307
Which is smaller: 0.2 or 164?
0.2
Are -2 and -25/22 unequal?
True
Which is greater: -1587 or -1601?
-1587
Which is bigger: 405 or 393?
405
Does -8/5 = -0.054?
False
Is 3101/2 <= 1552?
True
Is 13 less than or equal to 396/29?
True
Is 2/86539 equal to -1?
False
Is 641 > 658?
False
Which is greater: -360 or -364?
-360
Which is smaller: -1291 or -1290?
-1291
Which is smaller: 7 or -3?
-3
Which is bigger: 76/53 or 2?
2
Is -111 at least -109?
False
Is -2 < -3/2?
True
Is 12645 equal to 1?
False
Is 0.1 smaller than 7.3?
True
Does -86/105 = 0?
False
Do 1/5 and -144 have the same value?
False
Which is smaller: -333 or -334?
-334
Is -64/73 < -2?
False
Is 1 equal to 2/25835?
False
Which is greater: -1/8368 or 0?
0
Is 256 less than or equal to 255?
False
Is -4/57 at least 1/105?
False
Which is greater: 7 or 182/29?
7
Is 1/3 <= 5/53?
False
Which is smaller: 0 or -219?
-219
Is 364/5 at least 74?
False
Which is smaller: 0 or -1/3?
-1/3
Is 253 smaller than 252?
False
Which is smaller: 59 or 530/9?
530/9
Which is greater: 84 or 80?
84
Are 219 and 217 equal?
False
Is 111/7 bigger than 15?
True
Is -2/20373 != 0?
True
Which is bigger: -45/1211 or -1?
-45/1211
Is 73 less than or equal to 73?
True
Is -2/5695 <= 0?
True
Which is greater: 0.1 or 1604?
1604
Which is greater: -1 or -44/123?
-44/123
Is -1 bigger than -37/27?
True
Does -269 = 0.4?
False
Is -13 > -123/10?
False
Which is smaller: -114 or -126?
-126
Are 206 and 206 unequal?
False
Which is greater: -3/3101 or 0?
0
Which is smaller: -57 or -1/3?
-57
Are -1/17 and 119 non-equal?
True
Is -471 bigger than -473?
True
Is -29865 greater than -29865?
False
Is 159 less than or equal to 0.01?
False
Are -24 and -23 nonequal?
True
Is -705/14 greater than or equal to -49?
False
Which is greater: -9 or -7?
-7
Which is bigger: 2/9 or -1016/11?
2/9
Does -5/87 = -1?
False
Is -210 less than -4?
True
Does 3/2110 = 1?
False
Is -563 >= -7869/14?
False
Is 1 <= 14/197?
False
Is -152 less than -0.2?
True
Which is bigger: -6084 or 1?
1
Which is bigger: -26/147 or -1?
-26/147
Which is bigger: -35 or -34?
-34
Does -2/693 = 0?
False
Which is smaller: -2/221 or 1?
-2/221
Which is bigger: 8 or -30/13?
8
Is 19 greater than 266/15?
True
Is -6 at least as big as -90/19?
False
Which is bigger: -1 or 6/55?
6/55
Is -392 greater than or equal to -392?
True
Do 299 and 299 have the same value?
True
Is -1 smaller than 492?
True
Is 27 < 14?
False
Which is greater: -232 or -1161/5?
-232
Which is smaller: -1 or -5/723?
-1
Which is smaller: -350 or -351?
-351
Is 265 <= 263?
False
Which is greater: 297 or 289?
297
Is 2 less than or equal to -726?
False
Which is smaller: -1/5 or 8/13?
-1/5
Is -6 smaller than -3/16?
True
Which is bigger: -1/4 or 3522/23?
3522/23
Which is smaller: 783 or -5?
-5
Is -87 at least as big as -92?
True
Is 34 > -3?
True
Which is smaller: 0 or 1/76?
0
Is 0 at least as big as 4.08?
False
Which is greater: 12/307 or 0?
12/307
Is -6592 smaller than -6591?
True
Which is smaller: -1089 or 1?
-1089
Which is greater: -7.6 or 9/5?
9/5
Which is smaller: 101 or 115?
101
Is -13729 < -13728?
True
Is -65 > -34?
False
Are 68/29 and 2 equal?
False
Which is greater: 1 or -181?
1
Is -320/77 smaller than -4?
True
Is -210/11 at least as big as -18?
False
Which is smaller: -1 or -2/31777?
-1
Is 7102 equal to 7102?
True
Which is smaller: -8 or 13?
-8
Which is greater: -8 or -9?
-8
Which is smaller: 4/593 or -1?
-1
Is -98 less than -103?
False
Which is smaller: -333/16 or -22?
-22
Is 0 > 84?
False
Which is bigger: 501 or 504?
504
Is 340 bigger than 409?
False
Which is smaller: 2/147 or -1?
-1
Are 1 and 1/595 nonequal?
True
Which is bigger: -155 or 20?
20
Does 523 = 522?
False
Is 127 >= -0.1?
True
Which is smaller: 15 or 25?
15
Which is smaller: 3/2 or 441?
3/2
Are -9/7 and 58 unequal?
True
Which is greater: 526 or 5?
526
Which is smaller: 59 or -1.45?
-1.45
Which is smaller: 277/5 or 56?
277/5
Which is smaller: -9.94 or -1?
-9.94
Are 42 and 367/9 non-equal?
True
Is 30 >= 237/8?
True
Which is greater: 2/4363 or 0?
2/4363
Which is smaller: 10 or -69?
-69
Which is smaller: 285 or 282?
282
Which is smaller: -1 or -22/9?
-22/9
Is -1 not equal to -2/8749?
True
Is 1/3 greater than -895?
True
Which is bigger: 7 or 253/41?
7
Is 25 less than or equal to -8?
False
Is -21 > -632/29?
True
Is 76 > 78?
False
Is -1 != 2/6697?
True
Which is smaller: -6 or -0.29?
-6
Is 25 smaller than 5?
False
Does -90 = -91?
False
Is -2/19273 greater than or equal to 0?
False
Which is greater: 1/5 or 5614?
5614
Are -4461 and -4463 equal?
False
Is -1 < 3/3041?
True
Is 0 > -1/20955?
True
Which is greater: 0 or -3/1327?
0
Is 316 not equal to 3?
True
Is 1 greater than 1/64?
True
Which is smaller: 0.05836 or -0.1?
-0.1
Which is smaller: -243/2 or -123?
-123
Which is bigger: 0 or -14/145?
0
Is 31 not equal to 31?
False
Which is smaller: 958/5 or 191?
191
Are -2352 and -2353 non-equal?
True
Which is smaller: -211 or -210?
-211
Which is greater: -6/397 or 0?
0
Is -7/3 less than or equal to 0.7?
True
Are -2/3795 and -1 non-equal?
True
Which is smaller: 52 or 364?
52
Is 2510 <= 2510?
True
Which is bigger: 24366 or 24365?
24366
Which is bigger: -1/1573 or -1?
-1/1573
Is 74/289 <= 1?
True
Is 4199/4 less than or equal to 1051?
True
Is -2/83 at least as big as 0.02?
False
Which is bigger: 8/63 or 0?
8/63
Which is bigger: 147 or 1/4?
147
Is 1/36 >= -1?
True
Is -14 less than or equal to -68/5?
True
Is -220 smaller than 4?
True
Which is greater: 36/73 or -1?
36/73
Is 2 greater than or equal to 618?
False
Is 326 <= 327?
True
Is -2 <= 1383?
True
Is 37.2 > 7?
True
Which is bigger: 20 or 19?
20
Is -1/5 smaller than -70/57?
False
Are -405 and -445 non-equal?
True
Which is smaller: -108 or -98?
-108
Are -1 and 15/38 non-equal?
True
Is 72 > 67?
True
Does 1 = 8/7323?
False
Is 1463 smaller than 10233/7?
False
Does -8/603 = -1?
False
Is -1/36 less than 3?
True
Which is smaller: 11281 or 11283?
11281
Which is smaller: 3346 or 0?
0
Is -414/13 greater than -33?
True
Which is greater: 1 or 19/8?
19/8
Do 2544 and 2544 have different values?
False
Which is bigger: -1.119 or 0.07?
0.07
Which is greater: 135/34 or 3?
135/34
Which is smaller: -1 or 570/11?
-1
Is 1 less than or equal to -282?
False
Which is bigger: -105 or -104?
-104
Is -41 != -5?
True
Which is bigger: 8 or 216?
216
Which is bigger: 0.4 or -2.2?
0.4
Which is smaller: -3472 or -3470?
-3472
Is -0.1 not equal to 1/25?
True
Is -18/3401 > 0?
False
Which is bigger: -2 or -21/4?
-2
Is 7/93 > 1?
False
Which is smaller: 57 or -7?
-7
Do -100 and 6 have different values?
True
Which is smaller: 2/37 or 3?
2/37
Do 681/2 and -3 have the same value?
False
Is -4/6379 < 1?
True
Is 13 less than or equal to 6?
False
Is 780 bigger than 781?
False
Is -18 less than or equal to -13?
True
Is 4760 >= 4761?
False
Is 58 smaller than 23?
False
Is 246 at most as big as 252?
True
Which is bigger: -18 or -192/11?
-192/11
Which is greater: 0.78 or -25?
0.78
Do -14723 and -1/2 have the same value?
False
Is -2628 < -2623?
True
Are -4/9 and -253 equal?
False
Is -101 less than or equal to -112?
False
Which is smaller: 6 or 80/13?
6
Which is smaller: -1452 or -1451?
-1452
Is -0.014 at least as big as 39?
False
Is 1 greater than or equal to -3/3464 | {
"pile_set_name": "DM Mathematics"
} |
s u = -3?
False
Let j(b) = -b - 9. Let v be j(-4). Let y = v - -7. Suppose f + 3 = y*g, -g + 2*f = -0*f. Which is smaller: 3 or g?
g
Let u(s) = -s + 2. Let r be u(3). Let c be 0 + (-3)/r + -1. Let d = c - 3. Which is greater: d or 1/3?
1/3
Let j = -89/135 + -20/27. Is j greater than or equal to -2?
True
Suppose 0 = 2*d - 4*h - 8, -2*d + 2*h + 3*h + 11 = 0. Let o be 5/d*(-5)/50. Let l be -1*(-3 + 2)/(-1). Is o less than l?
False
Let w be ((-4)/6)/(3/45). Let t(c) = -c**3 - 9*c**2 + 11*c + 8. Let x be t(w). Let b be (-9)/(-15)*x/(-3). Is b >= -1?
True
Let s be -3*(-3 - (-412)/36). Let h = s + 25. Which is smaller: -5 or h?
-5
Let a = 94663/5 + -19015. Let v = a + 3401/40. Let k = -97/40 + v. Which is bigger: 0 or k?
k
Suppose 4*p - 4*d = 2*p + 14, -d - 1 = -3*p. Let g = p + 4. Let a be g/(-2) + (-45)/(-10). Is -0.1 <= a?
True
Let g(x) = x**3 + 9*x**2 - 12*x - 21. Let t be g(-10). Which is bigger: t or 3/7?
3/7
Suppose -2*b = 5*w + 25, -5*w - 25 = -3*b + 2*b. Which is smaller: -3 or b?
-3
Let u(q) = -q**3 + 8*q**2 - 8*q + 7. Let w be u(7). Suppose -5*t + 3 - 8 = w. Are -1 and t equal?
True
Let h(n) = -n**3 - 5*n**2 - n. Let p be h(-5). Let z be 1/p - 17/35. Is -2 > z?
False
Let p be (-300)/(-21) - 4/14. Suppose a = 5*t - p - 6, 5*t - 20 = 0. Let c(y) = -y + 6. Let z be c(6). Are z and a non-equal?
False
Let z(u) be the third derivative of u**4/24 + u**3/3 + 2*u**2. Let l be z(-3). Are l and -1/6 equal?
False
Let j = -102 + 32. Let f be j/30*(-6)/(-4). Which is greater: f or -5?
f
Let c = 1175/17 - 69. Let o(l) = -l**3 + 5*l**2 - 4*l + 5. Let u be o(4). Suppose -9 = u*s - 4. Is s at least c?
False
Let d = 3/47 + -338/141. Is d equal to -2?
False
Suppose 5*k = -0*k. Suppose m + 2 = -k*m. Let v = m - 0. Which is smaller: 0 or v?
v
Suppose 4*m + 0*m = 0. Suppose -t - t + 8 = m. Let o be ((-4)/(-8))/(t/6). Which is smaller: o or -1?
-1
Let d = 6 + -8. Suppose 3 = 5*c - 7. Suppose -2*m + 4 = 4*r, 4*m - 8 = c*m. Does r = d?
False
Let n = -10/37 + 87/185. Let o be (-1)/(-4) + (-1)/4. Is n at most as big as o?
False
Let l = -0.98 - -1.08. Which is bigger: l or 4/47?
l
Suppose 0 = 6*c - 4*c + k + 5, 2*c - 4*k - 20 = 0. Suppose c = r + r. Let o = 0 + r. Which is smaller: 2 or o?
o
Let g be (-497)/(-2835) + (-2)/10. Are -1 and g nonequal?
True
Let h = 0.06 - 0.14. Let s = h - -0.38. Let l = 0.2 - s. Are -0.3 and l equal?
False
Let z = -4 + 14. Is 10 at most as big as z?
True
Let p = 2.89 - 4.89. Let x = 7/4 - 57/28. Which is bigger: p or x?
x
Let p be 1/3 - (-26)/(-42). Suppose 0 = 5*r - 5*f - 15, -20 = 3*r + r + 4*f. Which is greater: r or p?
p
Let m be 358/(-8) - (-6)/8. Is m greater than -43?
False
Let n be (-2 - -2) + 2 + -4. Let v be 1*(-3 - -2 - n). Let b = -198 - -1384/7. Which is bigger: b or v?
v
Let s be (4 - 2 - 0) + -2. Let p(u) = 2*u**2 - 9*u. Let c(h) = -h**2 + 4*h. Let k(n) = 13*c(n) + 6*p(n). Let r be k(-2). Is s > r?
False
Let g(n) = n**3 + 5*n**2 + n - 2. Let t be g(-2). Suppose a - 24 = -4*h, 12 = -2*a + a + 5*h. Is a not equal to t?
False
Suppose 3*v + v + 32 = 0. Let o = v + 11. Suppose 2*q = o*q - 2. Which is smaller: 1 or q?
1
Let f(d) = d**3 - 13*d**2 - 31*d + 16. Let r be f(15). Is 2/83 less than or equal to r?
True
Let d(l) = 5*l + 14. Let x be d(-3). Which is bigger: 37 or x?
37
Let d = -13 + 14. Suppose 3*k = -4*w + 19, 3*w - k = 4*w - 6. Let l be 0 + 1 - w/(-2). Is d >= l?
False
Let z(b) = -b**2 + 8*b + 1. Let y(l) = -4*l - 7. Let v(q) = q + 1. Let s(n) = -5*v(n) - y(n). Let h be s(-6). Let u be z(h). Which is smaller: u or -2/7?
-2/7
Let i be (3 - -13)/4*-2. Let z(q) = -q**3 - 1. Let n(x) = -6*x**3 - 7*x**2 + 8*x - 5. Let g(l) = -n(l) + 5*z(l). Let f be g(i). Is f less than 2/3?
True
Suppose -3*c + 13 = -n + 2*n, -5*n + 5 = -5*c. Suppose -n*w = w. Is 2/7 less than w?
False
Let x be 3/(-7) - 3/(-14)*-16. Which is bigger: x or -5?
x
Let r = -9.15 + 9. Which is smaller: r or 2/3?
r
Let t(z) = -2*z**3 - 8*z**2 - 8*z - 3. Let s be t(-3). Are s and -13 unequal?
True
Let o = 3.7 + -4. Suppose f - 5*f = -148. Let r = f - 109/3. Which is greater: r or o?
r
Let m be 3 + (-2 - (-12)/(-3)). Let j be 4/8*(-1)/m. Is -1 <= j?
True
Let y be (1 - 1)/(6/3). Let g(f) = -2*f**2 - 5*f - 6. Let t be g(-2). Is t bigger than y?
False
Let x(q) = q**3 + 4*q**2 + 2*q + 1. Let r be x(-2). Suppose 4*k + 4*z - 4 = 0, -1 = -3*k - 2*z + r. Let f = k + -3. Which is greater: -3/7 or f?
f
Suppose 2*z - 3 = 5*s, -s + z - 4 = 4*s. Which is smaller: s or -1/19?
s
Let z be (-2)/(66/(-97)) + -3. Which is greater: -3 or z?
z
Let c = -0.5 + 0.3. Let i = 0.3 + c. Let p = 0.05 + -0.15. Which is bigger: p or i?
i
Let l(q) = q**3 - 3*q**2 + 4. Let m be l(4). Let g be (-3 + m/8)*0. Let f = 5/14 + -6/7. Is g > f?
True
Let a be (-8)/(-5) + (-2)/(-5). Let u(x) = -x + 6*x + x**a - 1 - 2*x. Let s be u(-4). Which is greater: 2 or s?
s
Let i(h) = h**2 - 7*h - 3. Let p be i(7). Suppose 4*q + 2*x = -26, -2*q - q + 2*x = 9. Let l be (3/q)/(11/55). Is l less than p?
False
Let q be 22/77 + (-18)/14 + 2. Is -5/8 > q?
False
Let m be (0 + 12)/((-14)/(-16)). Let d = m + -1035/28. Let j = d + 23. Is j equal to -0.04?
False
Suppose -8 - 80 = -4*j. Is 22 at least as big as j?
True
Suppose 2*r + 5 - 4 = -n, 2*r + 2*n = -6. Suppose -2*l + r + 0 = 0. Let j be 2/(2 + -5 + l). Which is bigger: j or 2/9?
2/9
Let t(h) = 4 + h - 4. Let x be t(2). Suppose 0 = x*o + 3*o. Is o at most as big as 2/13?
True
Let a be (-45)/6855*4/(-6). Which is greater: 0 or a?
a
Let b(g) = -g - 2. Let v be b(-2). Suppose 2*u + 3*u - 40 = v. Let c be 2/(-12)*(-36)/u. Which is smaller: 0 or c?
0
Let z = 18 + -9. Is 1 at most z?
True
Let t(s) = 8 + 8*s**2 + 2*s**3 - s**3 - 8*s - 2*s**3. Let q be t(7). Which is smaller: q or -1?
-1
Let q(g) = -g**3 + 1. Let s be q(0). Let h = 1 + -17. Let y be h/(-20)*(-10)/(-4). Are s and y non-equal?
True
Let w = -12459/16 + 779. Is -1 < w?
True
Let d = 28 + 298. Let m = -327.99 + d. Let s = m - 0.01. Which is smaller: 1 or s?
s
Suppose c = -5*i - 41, -2*c + 53 = -3*i - 2*i. Let s = i + 5. Suppose 0*n = -5*n - 15. Are n and s equal?
False
Let y = -0.6 + 1.9. Let k = y - -0.7. Is 1 smaller than k?
True
Let w(x) = 3*x - 6. Let p(t) = -t + 1. Let i(a) = -6*p(a) - w(a). Let b be i(1). Let u be -6*((-5)/20 + 0). Is b less than or equal to u?
False
Let c be 2/42*(-22)/3. Let z = -7/9 - c. Which is greater: 1 or z?
1
Let t = 0 + -4. Suppose 4*c + 8 = -8. Is t > c?
False
Let d = 178/15 + -35/3. Let h be (-1)/(-5) - (-32)/40. Is h < d?
False
Let x = -54.094 + 54. Let b = x + 3.994. Let r = 4 - b. Is 0.5 at most as big as r?
False
Let n(r) = 2*r + 7. Let k be n(-6). Do k and -3 have the same value?
False
Let p = -23 - -23.3. Which is greater: 0.8 or p?
0.8
Suppose 82 - 324 = -2*h. Let p = h - 285. Let t = p - -823/5. Which is bigger: 2 or t?
2
Let t be (-3)/4 - (-42)/(-8). Let w be (12/(-117))/((-2)/t). Suppose 11 = -g + 12. Is w equal to g?
False
Let f be 6/(-4)*6*1/3. Are f and -4 nonequal?
True
Let j be 1*2*(0 + 1). Let n(f) = 0*f**j - 8*f**2 + 8*f - 8 + f**3 + 1. Let m be n(7). Is -2/9 less than m?
True
Let n = -34 - -35. Let h = -457/7 - -65. Is h >= n?
False
Let q = -19 - -17. Suppose -74 = 3*f + 5*r, r - 100 = 5*f + 42. Let t = 82/3 + f. Is t bigger than q?
True
Suppose f + 3*f - 3*u = -20, f + 4*u = 14. Is f at least 1/12?
False
Let h(b) = 3*b - 1. Let m be h(1). Suppose 5*y = 2*c - 8, c - 12 = -2*y - m*c. Suppose 5*t + 4*j = t, 4*j + 9 = 5*t. Which is smaller: y or t?
y
Let n be (-8)/4 - -2 - -15. Suppose -11 = 4*a + 3*p, -5*a + 2*p = -0*a - n. Let y = -128 + 1154/9. Are a and y unequal?
True
Suppose -5*g = 33 - 13. Which is smaller: g or -3?
g
Let x be 3/(-2)*2 + 3. Suppose 4*c = 13 - 5, 3*c = 2*b + 10. Which is greater: x or b?
x
Suppose 0 = -2*x + 8, -6*s - 4*x = -s - 51. Let b = s - 7. Is b less than 2/3?
True
Suppose -7*n = -2*n. Let m = -1 + n. Let c(w) = -w**3 + 7*w**2 + 2*w - 15. Let x be c(7). Is x < m?
False
Let c be 1/3 - 6/(-9). Let x(z) be the second derivative of z**5/20 - z**4/2 + 2*z**3/3 + 3*z**2 + z. Let m be x(5). Are c and m nonequal?
False
Let v = 4 + -12. Let q(t) = t**2 + 6*t - 10. Let w be q(v). Is w greater than or equal to 5?
True
Let y(i) = -i**2 - 5*i - 4. Let q be y(-3). Let r be 16/(-15) + q/5. Let g = -3 - -1. Which is smaller: g or r?
g
Suppose 2*i - 2*p + | {
"pile_set_name": "DM Mathematics"
} |
112
Product of 1.5 and -2.3.
-3.45
28 * -0.3
-8.4
Work out -277 * 0.3.
-83.1
Multiply -59 and -1.19.
70.21
What is -0.187 times -5?
0.935
-22 times -4.9
107.8
Work out -1 * 0.029.
-0.029
62.2 times -12
-746.4
Multiply 6.1 and 0.
0
0.05 * 3160
158
-2462*5
-12310
-19.4 times -0.1
1.94
Work out -6 * -5.64.
33.84
Calculate -9*-0.17.
1.53
What is -0.9 times -8?
7.2
Multiply 0.18 and -154.2.
-27.756
What is the product of -21 and 1319?
-27699
-25640*3
-76920
What is -26 times 22?
-572
133 times 0
0
Multiply -281 and 7.
-1967
What is the product of 0.1 and 115?
11.5
Multiply 546 and 0.05.
27.3
What is the product of -108 and 5?
-540
1 times 60
60
Multiply -0.01 and 254.
-2.54
Calculate 0.553*-1.
-0.553
-0.051 times 2.1
-0.1071
What is 0.043 times 95?
4.085
What is the product of -15160 and 0.3?
-4548
Work out -2.73 * 4.
-10.92
Work out 49 * -0.1.
-4.9
Calculate -0.1*-21.
2.1
What is -4 times -81?
324
What is 4 times -3795?
-15180
Product of -0.1 and -11.
1.1
Product of 28 and -6.
-168
Work out 1096 * 0.4.
438.4
-42 * 13
-546
2.5 * 0.027
0.0675
Multiply 3426.4 and -0.3.
-1027.92
0.4 times 167
66.8
Product of -35 and 0.1.
-3.5
4284*-0.3
-1285.2
4 times 6
24
0.36*116
41.76
Multiply -5 and -60.
300
-4 times 37.16
-148.64
Calculate 3*348.
1044
0.1647 * 3
0.4941
-0.1 times -0.00263
0.000263
Product of 5 and 4.928.
24.64
-0.4*0.04
-0.016
Calculate -0.06*0.3.
-0.018
What is 4504 times 5?
22520
-0.02*-0.0155
0.00031
Work out 18122 * -0.1.
-1812.2
What is 3 times 6083?
18249
1 * -0.0021
-0.0021
Multiply -0.3 and -4.29.
1.287
0.1 * -8.6
-0.86
What is the product of 2 and 186?
372
3.38 * -0.3
-1.014
Multiply 0.113 and 0.019.
0.002147
What is 2894 times 4?
11576
What is the product of 1 and -0.61?
-0.61
Product of 3 and -0.032.
-0.096
Calculate 3.31*2.
6.62
Product of 0.321 and -12.
-3.852
Work out 0.06 * -103.4.
-6.204
Calculate 62*1.5.
93
Work out -242 * 2.
-484
What is the product of 825 and -0.3?
-247.5
4*2133
8532
Work out 14.1 * -8.
-112.8
Calculate -1.7*-0.492.
0.8364
Work out -0.5 * 87.
-43.5
-0.49*-1
0.49
-1.06*-5
5.3
0.487 * 3
1.461
0.3 * 23.6
7.08
What is the product of 0.4 and -0.31?
-0.124
What is -0.068 times -31?
2.108
Calculate 0.62*-10.4.
-6.448
What is -3 times 30?
-90
Work out 0.1 * 0.73.
0.073
What is -5 times 408?
-2040
What is the product of 0.4 and -5720?
-2288
11 * 8.4
92.4
Work out 12 * -9.
-108
8.78*-4
-35.12
-0.4 times -178
71.2
Product of 2159 and 5.
10795
-1 times 2321
-2321
Work out 0 * 3.418.
0
Work out -5 * -169.
845
Product of -4 and 72.
-288
5 times -0.012
-0.06
What is 0.4 times -36?
-14.4
What is the product of 0.1 and 0.08?
0.008
-28 * 22
-616
Product of 1.9 and -1.5.
-2.85
Work out -0.02 * -0.81.
0.0162
Product of 6 and -1.284.
-7.704
Calculate 0.3*5.7.
1.71
Calculate -0.045*0.13.
-0.00585
What is 0.0824 times -1?
-0.0824
Work out 0.03 * 6.
0.18
-208 times 0.3
-62.4
What is 0.45 times -7?
-3.15
-0.5*-39
19.5
-9 times 2.105
-18.945
3 times 0.436
1.308
8.13 * 0.3
2.439
-0.4 times -72
28.8
-0.1 times 15
-1.5
0.07 times -0.007
-0.00049
Work out -2 * 0.214.
-0.428
-221*-5
1105
Work out -26 * -18.6.
483.6
What is the product of -5 and -0.03656?
0.1828
Calculate -292*-3.5.
1022
Calculate 0.6*0.024.
0.0144
-0.6 * 10.5
-6.3
Product of 5 and 163.
815
0.3 * 0.00069
0.000207
-643 times -0.2
128.6
-0.65 * 0.045
-0.02925
0.34 times -14
-4.76
Work out 60 * -0.01.
-0.6
Calculate 3*-0.277.
-0.831
Work out 379 * 54.
20466
Calculate -15.5*-97.
1503.5
Multiply -0.1113 and -2.
0.2226
Multiply -5772 and 0.1.
-577.2
Calculate 93.49*-0.3.
-28.047
Product of -1195 and -3.
3585
Multiply -46 and 2.
-92
What is the product of 0.2 and 0.47?
0.094
Work out 1 * 165.
165
Work out -915 * 2.
-1830
Product of 5 and 7.1.
35.5
-0.25 * -1.1
0.275
What is the product of 0.06 and 40.34?
2.4204
-5 * -2.022
10.11
Product of 0.07 and 0.077.
0.00539
Multiply -0.1 and 3388.
-338.8
Work out -29.9 * -0.6.
17.94
Calculate -0.1*-0.162.
0.0162
4*0.23
0.92
Product of -5 and 80.8.
-404
Product of 0.1 and -0.0009.
-0.00009
What is the product of -21 and -0.4?
8.4
Multiply 2.7 and -0.06.
-0.162
Multiply -2.23 and -0.2.
0.446
-10.397 times -0.3
3.1191
Product of -0.1 and 3553.
-355.3
Calculate -258*-3.5.
903
What is the product of -57 and -0.4?
22.8
-13*-222
2886
Work out 218 * 3.
654
-1018*0.3
-305.4
Work out 3 * 121.
363
Calculate 420*-5.
-2100
Calculate -8*-5.
40
Work out 22463 * -3.
-67389
Work out 1.1 * -0.72.
-0.792
14*0.06
0.84
241 times -0.2
-48.2
-3 times 0.04388
-0.13164
Calculate -0.14*2.1.
-0.294
0.182 * 0.3
0.0546
-466*-0.6
279.6
What is -0.07 times -1.45?
0.1015
0.013*-0.3
-0.0039
0.075*2.35
0.17625
Work out 0.08 * 0.063.
0.00504
Work out 0.0426 * 0.23.
0.009798
-4.1*-2
8.2
What is 0.54 times -165?
-89.1
What is the product of 523 and -0.5?
-261.5
Product of -1.5 and -0.1.
0.15
Product of -1.3 and 179.
-232.7
Calculate 0.9*-7.8.
-7.02
Multiply 8 and 2137.
17096
Calculate -32.6*0.05.
-1.63
-4 times -0.0001
0.0004
Multiply 67.5 and 8.
540
Calculate -1*0.97.
-0.97
Work out -36.5 * 0.3.
-10.95
Product of -7326 and 0.3.
-2197.8
Multiply -20 and -114.
2280
-0.0676 times 0.1
-0.00676
-29 * -9
261
77 * 1
77
What is the product of 628 and -2?
-1256
0.2 * 1355
271
What is 0.4 times -0.489?
-0.1956
What is -66 times 0.152?
-10.032
Multiply 0.5 and -0.064.
-0.032
0.2041 * 5
1.0205
Calculate -0.5*-0.459.
0.2295
Calculate 0.1*8.5.
0.85
Work out -17 * 0.01.
-0.17
Calculate 0.5*42.
21
Product of -2313 and 4.
-9252
403*-0.6
-241.8
What is 37 times 0?
0
What is the product of -0.7674 and 0.01?
-0.007674
Work out 377 * 1.
377
What is the product of 0.9692 and -4?
-3.8768
554 * 0.15
83.1
Multiply -1.6 and -9.
14.4
Multiply -0.3 and 9.4.
-2.82
-298 * 3
-894
37*17
629
Product of -10 and -357.
3570
-18 times 0.3
-5.4
Multiply 5 and 94.
470
Multiply 1 and 3.8.
3.8
Work out -0.1 * 0.48.
-0.048
Product of 0.074 and -77.
-5.698
-29*3
-87
Product of 3 and -637.
-1911
15*5
75
-1.2*0.16
-0.192
-9.3 times 0.01
-0.093
What is -0.5 times -8.3?
4.15
What is the product of 0.5 and 0.579?
0.2895
-0.006*-0.6
0.0036
Work out 0.0838 * -3.
-0.2514
0.0257 * 2
0.0514
Work out 185 * -3.
-555
54 times 0.1
5.4
-906*-1
906
0.063*-4
-0.252
What is 246 times -0.03?
-7.38
-0.2*-1228
245.6
What is -0.1 times 410?
-41
What is 621 times -8?
-4968
-1 * 471
-471
Multiply 0.1 and -152.
-15.2
Product of -5 and -0.075.
0.375
-190.4 * -0.4
76.16
Work out -2 * -2.
4
Work out 0.1 * 31.
3.1
Calculate -2*53.
-106
Product of 1.39 and 3.
4.17
What is the product of 1552.3 and -4?
-6209.2
-0.3 * 3.01
-0.903
0.2*-0.0865
-0.0173
Work out -14.8 * 0.1.
-1.48
-51 times 0.1
-5.1
What is the product of -1 and -946?
946
0.4*0.69
0.276
Product of 0.1 and 7.6.
0.76
1 times 0.11
0.11
-25 times -61
1525
116*1
116
212 times -1
-212
Multiply -4 and 4.01.
-16.04
Calculate -3*-3.64.
10.92
Work out -4077 * 2.
-8154
Product of -0.06 and 1569.
-94.14
Calculate 65.6*-2.3.
-150.88
Multiply -2 and 111.
-222
-5708*0.2
-1141.6
What is the product of 1.2 and 0.05?
0.06
Multiply -2 and 970.
-1940
0.036 times 4
0.144
-12.5 times 0.8
-10
What is the product of 0.1 and 0.116?
0.0116
Calculate -0.024*0.29.
-0.00696
Work out -0.32 * -0.5.
0.16
Multiply 150 and -0.2.
-30
What is -0.0064 times 0.1?
-0.00064
What is -27 times 0.5?
-13.5
-0.01*-34
0.34
Work out -0.23 * 0.23.
-0.0529
0.3 * -1.54
-0.462
Calculate -0.025*-1.
0.025
Multiply 708 and -1.
-708
-4.13*1
-4.13
4 times 0.074
0.296
What is the product of 86 and -2?
-172
Work out -0.8 * 505.
-404
Calculate -24*0.405.
-9.72
Product of -15 and 286.
-4290
What is the product of 0.3 and 0.73?
0.219
5*3.3
16.5
Product of -2 and -54.
108
Product of -0.3 and 60.
-18
25*-1.01
-25.25
-3490 * -0.3
1047
What is 0.218 times -0.4?
-0.0872
0.06*47
2.82
24 * -237
-5688
-0.06 * 0.07
-0.0042
Work out -4 * 0.18.
-0.72
Work out 1.91 * -0.4.
-0.764
Work out -14 * -21.3.
298.2
Multiply -59.5 and 0.1.
-5.95
Multiply 0 and -2.
0
What is -0.3 times 68?
-20.4
Product of 0.2 and 0.055.
0.011
Product of -0.2 and -3.
0.6
What is 1287 times -2?
-2574
0.11*-166
-18.26
Work out -107.93 * 0.2.
-21.586
4 * 89
356
-0.01 * -0.0963
0.000963
Work out -0.23 * -0.08.
0.0184
Product of 5.997 and -0.5.
-2.9985
-0.165 times -9
1.485
-10*-543
5430
-1.2*15
-18
Calculate -72*-0.5.
36
-3 times 154.5
-463.5
What is the product of -6333 and -0.1?
633.3 | {
"pile_set_name": "DM Mathematics"
} |
3 + -2. Suppose 4*g - 7 = -4*m + w, m + 1 = 0. Calculate the highest common divisor of p and g.
3
Suppose -8*u + 7*u = -26. Let d = u + -15. What is the greatest common factor of d and 110?
11
Suppose 5*m + 2*h - 102 = -h, -4*m - 2*h + 80 = 0. Suppose -60 = -3*d + m. Let p be (6/1)/(6/52). What is the highest common factor of d and p?
26
Suppose 2*d + 218 = -2*i - 2*i, -3*d - 156 = 3*i. Suppose -m + 36 = -4*m. Let q = m - i. Calculate the greatest common divisor of 30 and q.
15
Let b be 6/(-9)*(-15 + 6). Let t be 74/(-8) + 4/16. Let g = 15 + t. Calculate the greatest common factor of g and b.
6
Suppose r = -5*s - 192 + 1016, 7*s - 1136 = 3*r. What is the greatest common factor of s and 697?
41
Suppose 3*d = 2*x - x + 6, -15 = -4*x - d. Suppose -a - 15 = -6*a. What is the highest common factor of a and x?
3
Suppose d = -0*d + 37. Let p = -6 - d. Let i = p - -72. What is the highest common factor of 58 and i?
29
Suppose -4*i + l + 12 = 3*l, 45 = 5*i - 5*l. Let f(m) = -3*m - 15. Let z be f(-10). What is the highest common factor of i and z?
5
Let r be -15*4/18*3. Let y(l) = l**2 + 4*l + 31. Let o be y(r). Calculate the highest common divisor of 13 and o.
13
Let s = -549 - -607. Calculate the highest common factor of s and 145.
29
Let a = -49 + 63. Let i = 228 + -130. What is the greatest common factor of a and i?
14
Suppose -36 + 39 = r. Let v(b) = b**3 + 12*b**2 - 2*b - 11. Let m be v(-12). Let d(s) = 3*s - 18. Let w be d(m). What is the highest common factor of w and r?
3
Let x(c) = -7*c - 8. Let v be x(7). Let z = -32 - v. What is the greatest common factor of 25 and z?
25
Let c(n) = n**3 + 20*n**2 - 25*n - 17. Let o be c(-20). Calculate the greatest common divisor of o and 126.
21
Let g = -162 + 90. Suppose c - 3*c = 3*w - 537, -c = w - 269. Let i = g + c. Calculate the highest common divisor of 18 and i.
18
Let u = -2526 - -2534. What is the highest common factor of u and 1448?
8
Let w(o) = -4*o**3 - o**2 - o. Let v be w(-1). Suppose -4*c = -z + 206 - 616, 3*c - 314 = v*z. Calculate the highest common divisor of 17 and c.
17
Let y be -30*(11 + -5)*(-6)/45. What is the greatest common divisor of y and 36?
12
Let y = 587 - 539. Suppose -23 = -3*t - 5. What is the greatest common factor of y and t?
6
Suppose 5*d - 9 = -4*f, -37 = -5*d - 0*d + 3*f. Suppose -d*b + 6 + 24 = 0. Suppose 51 - 21 = 2*r. What is the greatest common factor of r and b?
3
Suppose 5 = -3*s - 4, 102 = 2*i + 4*s. Suppose -d + 4 = 3*d, 0 = -5*o - 3*d + 98. Calculate the greatest common divisor of o and i.
19
Suppose 0 = -4*a, 0 = s - 3*a - 9 - 19. What is the greatest common factor of 28 and s?
28
Suppose -2*o - 48 = -10*o. Let z be 644/o*6/4. What is the greatest common divisor of z and 23?
23
Let c = 48 + -34. Let w = c + -11. Suppose -2*u + w*g + 54 = 0, 3*u + 4*g - g - 81 = 0. Calculate the highest common factor of 18 and u.
9
Suppose -3*w = r - 84, -7*r - 5*w + 329 = -3*r. Suppose -q = -4*q + r. Calculate the highest common factor of q and 18.
9
Suppose -2*z - 10*c + 9*c = -1155, -2*z - 4*c = -1164. What is the greatest common divisor of 9 and z?
9
Suppose -4*c = -5*j + 27 - 4, 0 = -4*j + 2*c + 16. Suppose j*h = 5*r + 5*h - 1443, -5*r = h - 1444. What is the greatest common factor of 17 and r?
17
Suppose 24*i - 15*i = 279. What is the highest common factor of 62 and i?
31
Let f = 0 + -12. Let z(k) = -k**3 + 25*k**2 - 23*k - 7. Let o be z(24). Let u = f + o. Calculate the greatest common factor of 35 and u.
5
Suppose -p = -k - 2*p + 2415, k - 2*p = 2424. Let f be k/11 + (-2)/(-11). Calculate the greatest common divisor of 20 and f.
20
Let p(w) = 3*w**2 - 2*w + 27. Let g be p(-5). Calculate the highest common factor of 16 and g.
16
Let u(l) = 2*l**2 - 10*l - 23. Let z be u(7). Calculate the greatest common factor of z and 40.
5
Let y(l) = l + 7 + 0*l - 7. Let o be y(1). Let p = 25 - o. Calculate the highest common factor of 36 and p.
12
Let n(k) be the first derivative of -k**4/4 + 5*k**3 - 6*k**2 + 8*k + 4. Let m be n(14). What is the greatest common divisor of 12 and m?
12
Let z = 617 - 41. Let j be z/99 - (-6)/33. Calculate the highest common factor of j and 54.
6
Let s(d) = 3*d - 64. Let i be s(15). Let r = 18 + -31. Let c = r - i. What is the highest common divisor of c and 3?
3
Let z = -249 - -327. Calculate the highest common factor of z and 130.
26
Let l(f) = -f**3 - 12*f**2 - 40*f - 22. Let p be l(-8). Calculate the greatest common divisor of p and 224.
14
Let w(l) = l**2 - 3. Let c be w(4). Let r be c + 0/(0 - 3). Let f be (-18)/15*(-71 - -6). Calculate the highest common factor of r and f.
13
Suppose 2*p + f - 20 = -3*f, 0 = -2*p + 3*f + 34. Calculate the greatest common factor of p and 406.
14
Let b be 3 - (-40 - 6/6). What is the greatest common divisor of b and 99?
11
Let r be (10*-2)/(-31 - -29). What is the greatest common factor of r and 430?
10
Let a(h) be the second derivative of -h**4/12 + 3*h**3/2 + 8*h**2 + 8*h. Let f be a(10). Calculate the greatest common divisor of 18 and f.
6
Let u = -14 - -11. Let d be u/(-2)*(-60)/(-9). Calculate the greatest common factor of 90 and d.
10
Let v(i) = -2*i**2 - 19*i + 25. Let s be v(-10). What is the highest common divisor of s and 9?
3
Let i be (-537)/(-21) - ((-189)/(-49))/(-9). What is the highest common factor of i and 1222?
26
Let j(g) = -g**3 + 11*g**2 + 18*g - 6. Let c be j(12). Suppose 244 = 10*d - c. What is the greatest common factor of d and 124?
31
Let o = -153 + 531. What is the highest common factor of 12 and o?
6
Suppose 2*t - 4*t + 6 = 0. Suppose t*u - 180 = -3*u. Calculate the greatest common factor of 12 and u.
6
Suppose -3*x = -6*x + 96. Suppose 0 = 4*c - 4*i - x, -6*c + 5*i = -2*c - 32. Calculate the highest common factor of c and 4.
4
Suppose 1100 = 665*r - 645*r. Calculate the greatest common factor of 517 and r.
11
Let b be (-2 + -1)*22/(-6). Let q be 165/9*18*(-7)/(-21). Calculate the greatest common factor of b and q.
11
Let g = -373 + 703. Calculate the highest common divisor of g and 220.
110
Suppose 5*v = 2*z + 4963 + 1143, 0 = -3*z + 6. Calculate the highest common factor of 26 and v.
26
Suppose 0 = 22*i - 50*i + 4144. What is the highest common factor of i and 8?
4
Let w be (4/(-6))/(21 + (-63510)/3024). Let k be (2 - 1 - 3)*-21. Calculate the greatest common factor of k and w.
42
Let i(q) = -5*q - 7. Let u be i(-3). Suppose -32 = -4*j - u. Let p = 10 - j. What is the highest common factor of 20 and p?
4
Let p(i) = i**3 - 5*i**2 - i - 17. Let k be p(6). Let d be 104 + -3 + 5 + 1. Suppose 49 + d = 4*w. Calculate the greatest common divisor of k and w.
13
Suppose -4*b - 9 = 2*c - 23, -5*c = -3*b - 9. Let a be (-380)/(-12) + 1/c. Calculate the greatest common divisor of a and 4.
4
Suppose 2*u - 707 = -25. Suppose -d - 1 = 0, 3*a + 10 = d + u. Calculate the greatest common divisor of 10 and a.
10
Let z = 95 - 95. Suppose -3*p + 356 = r, -3*r - 2*r - 5 = z. What is the highest common factor of p and 17?
17
Suppose f = -2*f + 4*l + 153, -3*l + 284 = 5*f. Calculate the highest common factor of 15 and f.
5
Let r = -61 + 84. What is the highest common divisor of 115 and r?
23
Suppose 3*z = -5*y + 32, 8 + 4 = 4*y - z. Suppose 0 = 5*m - 136 - 14. Let f be -48*(9/15 + (-38)/m). What is the highest common factor of y and f?
4
Let w = 436 - 241. Calculate the greatest common factor of 39 and w.
39
Let r(h) = 6*h**2 + 29*h + 577. Let m be r(-16). Calculate the highest common factor of 194 and m.
97
Let m(g) = 2*g**3 - 5*g**2 + 5*g. Let j be m(5). Let o = 853 - 753. Calculate the greatest common divisor of o and j.
50
Suppose 3*m - 44*i - 145 = -46*i, 3*m - 2*i = 161. Calculate the highest common factor of 3 and m.
3
Let u = 222 - 201. Calculate the highest common divisor of 651 and u.
21
Let y = -18 - -16. Let m be (-1)/(-1)*(y + 5). Suppose -m*q = 2*q - 115. What is the highest common divisor of 69 and q?
23
Suppose m + 33 = 42. Calculate the highest common divisor of m and 24.
3
Suppose -x - 23 = -61. What is the highest common divisor of 266 and x?
38
Let u be (-70)/(-6) - (-26)/(-39). Let p(r) = -24*r**2 - 3*r + 4. Let q be p(3). Let o = 342 + q. What is the highest common factor of o and u?
11
Let s(b) = b**3 + 4*b**2 - 4*b + 1. Suppose -15*r = -18*r - 12. Let m be s(r). Let f = -170 + 28 | {
"pile_set_name": "DM Mathematics"
} |
ve of d(k) wrt k.
96*k
Suppose -17 = -11*x + 27. What is the first derivative of 25 + 43*z**4 + 40*z**x + 6 - 55*z**4 wrt z?
112*z**3
Find the second derivative of -w**3 + w**3 - 11 - 506*w**4 + 18*w + 614*w**4 wrt w.
1296*w**2
Find the third derivative of -16*h**5 + 0*h**6 - 4 + 11*h**5 - 3*h**2 + 3*h**6 + 2*h**5 wrt h.
360*h**3 - 180*h**2
Find the first derivative of -192*h - 197*h + 66 + 262*h wrt h.
-127
Suppose 2*a - 1 = 5. Suppose a*b = 3*w, 4*w + 10 = 3*w + 3*b. Differentiate -8*p + 3*p + 3*p - w with respect to p.
-2
Let x(u) be the second derivative of 0*u**4 - 6*u - 27/2*u**2 + 1/3*u**3 + 13/30*u**6 - 3 + 0*u**5. Find the first derivative of x(k) wrt k.
52*k**3 + 2
Suppose 0 = 5*a - 17 - 463. Let l be 1/7 + a/14. Find the first derivative of l - 2 + 29*g**4 - 34*g**4 wrt g.
-20*g**3
Let y = -1613 + 1617. Let r(d) be the first derivative of 0*d**3 - 2/5*d**5 - 7 + 0*d**y - 6*d**2 + 0*d. Find the second derivative of r(m) wrt m.
-24*m**2
What is the third derivative of d**3 - 23*d**2 - 4*d**4 - 2*d**3 + 12*d**4 - 36*d**2 wrt d?
192*d - 6
What is the first derivative of -53 + 211*x**2 + 1313*x - 93 - 1313*x wrt x?
422*x
Differentiate 55*s - 43*s + 65*s + 96 wrt s.
77
Suppose -4 = -3*i - 0*i + 5*m, 0 = -4*i - 5*m - 18. Let x = 9 + i. What is the third derivative of x*g**2 - 4*g**4 - g**2 - 3*g**2 wrt g?
-96*g
Let y(j) be the third derivative of -151*j**7/210 + 8*j**4/3 + 72*j**2. What is the second derivative of y(v) wrt v?
-1812*v**2
Suppose 2*u = 3*j + 2*j - 19, 2*j - 5*u + 5 = 0. Suppose -8 = -j*w + w. Differentiate 2 - 3*a**2 + a**w - 1 + 0*a**2 with respect to a.
-4*a
Let j(m) = -192*m**3 - 2*m**2 + 2*m + 49. Let y(a) = -a**3 - 2*a**2 + a - 3. Let s(r) = j(r) - y(r). Find the second derivative of s(c) wrt c.
-1146*c
Let g(v) = -9*v**4 - 2*v**2. Suppose -5*h + 16 = -h. Let m(u) = -u**2 + 5 - 1 - u**h - 4. Let r(p) = g(p) - 4*m(p). What is the third derivative of r(z) wrt z?
-120*z
Let l(x) be the third derivative of 19*x**6/20 + 86*x**3/3 + 182*x**2. Differentiate l(k) wrt k.
342*k**2
Suppose 2 = -46*p + 47*p. Let r(w) = -w**3 + w - 1. Let m(d) = -15*d**5 + 2*d**3 + 24*d + 2. Let f(j) = p*r(j) + m(j). Find the second derivative of f(x) wrt x.
-300*x**3
Suppose 144 = -n + 7*n. What is the third derivative of g**2 + n*g**5 + 18*g**5 + 9*g**5 + 1 wrt g?
3060*g**2
What is the derivative of 68*u**4 - 168 - 1246*u + 39*u**4 + 627*u + 619*u wrt u?
428*u**3
Let n(c) = 104*c**2 + 4*c - 24. Let k(x) = 2*x**2 - 1. Let o(w) = 3*k(w) - n(w). What is the second derivative of o(a) wrt a?
-196
Let q(m) be the third derivative of -5*m**8/112 - m**4/12 + 4*m**3 + 2*m**2 - 8. What is the second derivative of q(u) wrt u?
-300*u**3
Let h(n) be the second derivative of 0*n**7 + 2/7*n**8 + 0*n**3 + 0*n**6 + 0*n**5 - 3*n**4 + 0*n**2 + 24*n + 0. What is the third derivative of h(v) wrt v?
1920*v**3
Differentiate -63 + 422*z**4 - 226 - 81 - 52*z**4 - 5*z**4 with respect to z.
1460*z**3
Let w(x) = -3073*x**4 - 23*x**3 + 15*x + 351. Let i(y) = -384*y**4 - 3*y**3 + 2*y + 44. Let q(l) = -46*i(l) + 6*w(l). Find the second derivative of q(h) wrt h.
-9288*h**2
Find the first derivative of 55*j + 43 - 34 - 25*j + 38*j wrt j.
68
Let z(b) be the third derivative of 0 + 0*b + 0*b**3 - 32*b**2 - 13/20*b**5 + 5/12*b**4. What is the second derivative of z(x) wrt x?
-78
Find the third derivative of 512 + 703*v**5 - 11*v**2 - 14*v**2 + 23*v**2 - 18 + 40 wrt v.
42180*v**2
Let v(h) be the third derivative of 65*h**8/112 - 7*h**5/20 + 169*h**2. Find the third derivative of v(r) wrt r.
11700*r**2
Find the third derivative of -352*f**5 - 154*f**2 - 4*f**3 + f**3 + 463*f**5 + 3*f**3 wrt f.
6660*f**2
Let w(t) be the first derivative of -9*t**5/40 - 5*t**4/4 - 2*t**3 + 3. Let r(v) be the third derivative of w(v). Differentiate r(b) wrt b.
-27
Let x be (-2)/3*15/(-10). What is the first derivative of x - 2 + 1 + 5 + 3*y wrt y?
3
Suppose 3*v + 5*r - 35 = 0, 5*v - 3*r = -0*r + 13. Suppose 8 = 7*w - 2*w + 4*n, -n = -v*w + 23. Differentiate -2 + 0 + a**w - 7*a**4 + 0 with respect to a.
-24*a**3
Let c be (-6)/(-5)*(-10)/(-4). Let o = -1159 - -1162. Differentiate 5 + 6*r**3 - 8 - 5*r**c + 4*r**o with respect to r.
15*r**2
What is the third derivative of 286*q**2 - 126*q**3 - 135*q**2 + 21*q**2 wrt q?
-756
Let b(m) = -m**3 + 12*m**2 + 4*m - 54. Let n(f) = -2*f**3 + 23*f**2 + 7*f - 107. Let x(c) = -5*b(c) + 3*n(c). Find the second derivative of x(v) wrt v.
-6*v + 18
Let j(r) be the second derivative of r**7/21 - r**6/3 + 79*r**3 + 366*r. Find the second derivative of j(m) wrt m.
40*m**3 - 120*m**2
Let f(o) be the third derivative of -o**5/20 - o**4/3 - 17*o**3 + 67*o**2. Differentiate f(d) with respect to d.
-6*d - 8
Let n(o) be the third derivative of 0 + 0*o**4 + 0*o - 13*o**2 + 1/210*o**7 + 0*o**6 - 7/6*o**3 + 0*o**5. What is the derivative of n(j) wrt j?
4*j**3
Let s = -114 - -141. Find the second derivative of 12*m**5 + s*m - 12646*m**3 + 12646*m**3 wrt m.
240*m**3
What is the third derivative of 79*c**2 + 57*c**5 - 33*c**5 - 10*c**6 - 24*c**5 + 36*c**2 wrt c?
-1200*c**3
Let k(m) be the third derivative of m**5/6 + 19*m**4/24 - 370*m**3/3 - 45*m**2. Find the first derivative of k(x) wrt x.
20*x + 19
Let d(w) be the second derivative of -5*w**4/3 + 73*w**3/6 - 6*w - 2. Find the second derivative of d(p) wrt p.
-40
What is the third derivative of -4*t - 4325 - 191*t**3 + 4325 + 4*t + 326*t**2 wrt t?
-1146
Let h(m) be the first derivative of -87*m**2/2 - 18*m - 44. What is the derivative of h(r) wrt r?
-87
Let n(u) = -4*u**3 - 31*u**2. Let j(a) = -a**3 - 5*a**3 + 7*a**3 - 2*a**3. Let m(o) = 6*j(o) - n(o). Find the third derivative of m(h) wrt h.
-12
Let c(s) be the third derivative of 0*s**3 + 17*s**2 + 0*s**5 - 43/24*s**4 + 0*s + 0 - 41/210*s**7 + 0*s**6. Find the second derivative of c(f) wrt f.
-492*f**2
Let t be 9 + 0 + 1*-1. Let b be ((-6)/(-4) + -1)/(170/680). What is the second derivative of n - 9*n**b - n + t*n wrt n?
-18
Let i(d) be the third derivative of 43*d**2 + 13/336*d**8 + 0*d**4 + 0*d + 0*d**3 + 0*d**6 - 23/60*d**5 + 0 + 0*d**7. Find the third derivative of i(b) wrt b.
780*b**2
Let l(i) be the first derivative of -46*i**5/5 + 148*i + 84. Differentiate l(m) wrt m.
-184*m**3
What is the third derivative of 0*x**5 + 69*x**4 + 495*x**2 - 2*x**5 + 149*x**4 - 319*x**4 wrt x?
-120*x**2 - 2424*x
Let s be 176/28 - 6/21. Let p(q) = -q**3 + 7*q**2 - 4*q - 8. Let r be p(s). Find the first derivative of 0 + 8 + 2*w**r + 8 - 22 wrt w.
8*w**3
Let l(k) = 15*k**3 + 8*k**2 + 5*k + 78. Let u(q) = 17*q**3 + 9*q**2 + 6*q + 79. Let g(f) = 6*l(f) - 5*u(f). Differentiate g(x) with respect to x.
15*x**2 + 6*x
Suppose v - 6 = 7. Suppose 2*j = 3*n - 33 + v, -4*j + 4 = 5*n. Find the second derivative of -6*w + 4*w - 2*w**n - 6*w**4 + 2*w**4 wrt w.
-72*w**2
Let g(y) be the third derivative of y**2 + 0 + 0*y**3 + 7/60*y**5 + 0*y + 11/24*y**4. Find the second derivative of g(x) wrt x.
14
Let s(d) be the third derivative of -1/40*d**6 + 0*d**4 + 3/2*d**3 + 0*d + 9*d**2 + 0 + 0*d**5. What is the derivative of s(w) wrt w?
-9*w**2
Let v(y) be the first derivative of -37*y**5/20 - y**2/2 - 41*y + 15. Let b(f) be the first derivative of v(f). What is the derivative of b(p) wrt p?
-111*p**2
Let p = -12 + 13. Differentiate p - 3 + 10*c**2 + 5 with respect to c.
20*c
What is the second derivative of -33*s + 3 + 6 - 111*s**2 - 4 - 36*s**2 + 11*s**2 wrt s?
-272
Let w(b) = -1155*b**2 - 1006*b - 9. Let r(f) = -289*f**2 - 251*f - 2. Let l(q) = 9*r(q) - 2*w(q). What is the second derivative of l(v) wrt v?
-582
Let g(v) be the second derivative of v**7/14 - v**4/4 - 20*v**3/3 + 285*v. What is the second derivative of g(l) wrt l?
60*l**3 - 6
Let n = 7 + -5. Let i be 0*(3 + -2) + n. What is the second derivative of q + i*q**2 + 5*q - 3*q**2 + 5*q**2 wrt q?
8
Let u(p) = p + 2. Let o be u(2). What is the second derivative of -5*n - 7*n**4 - 5*n + n**o + n wrt n?
-72*n**2
Suppose -33 = -3*c - 5*k + 2*k, -4*c + 4*k + 52 = 0. What is the second derivative of -20*b**5 + 26*b**5 - 3*b + c*b + 9*b wrt b?
120*b**3
Let l be ((4 + -5)/(-1))/((-2)/(-8)). Find the second derivative of 3*k - 7*k**2 - 5*k**l + 8*k**2 - k**2 wrt k.
-60*k**2
Differentiate 37*a + 7*a + 468 - 576 wrt a.
44
Let a(r) be the third derivative of 267*r**5/ | {
"pile_set_name": "DM Mathematics"
} |
order.
1, u, -2/7, d
Let n = -517.239 + 517. Let q = n + 0.039. Sort q, 3, -2/15, 1 in decreasing order.
3, 1, -2/15, q
Let d be 60/(-25)*80/24. Put 5, 1, 0.5, d in decreasing order.
5, 1, 0.5, d
Let r = 53.2 + -53.2. Sort 5, 2, r, 3/22 in ascending order.
r, 3/22, 2, 5
Let r(i) = -i**2 + 3*i + 5. Let l be r(4). Let q(y) = -4*y**2 - 40*y + 39. Let g be q(1). Put 3, l, g in decreasing order.
3, l, g
Let t be (1 - (-63)/(-6))/(2/4). Put 4, -5, t, -22 in descending order.
4, -5, t, -22
Let i = 149 - 131. Sort -4, i, 5.
-4, 5, i
Let q = -3851/77 + 547/11. Let z = -23 - -55. Sort q, z, 5.
q, 5, z
Let w be 2/(13/(-2) - -6). Sort -1, w, 30 in decreasing order.
30, -1, w
Suppose -5*p - 4*j - 17 = -6*j, j = 2*p + 6. Sort 1, -1, p, -18 in increasing order.
-18, p, -1, 1
Let j = -29.9 + 31.57. Let v = j + -1.6. Let r = 10.9 + -10.7. Sort r, v, 2/5 in descending order.
2/5, r, v
Let i be 0*(-3*25/(-15) - 4). Put i, -15, 4, -2 in ascending order.
-15, -2, i, 4
Let x = 191.18 - 195. Let z = x + -0.18. Sort 2/7, 0.1, z.
z, 0.1, 2/7
Let h(x) = -27*x - 128. Let f be h(-5). Suppose 0 = 2*b + 5*l + 18, -3*b + 0 = l + 1. Put b, -5, f in descending order.
f, b, -5
Suppose 96*u - 20 = 116*u. Put 1, 11, u in descending order.
11, 1, u
Suppose -3*i + 1316 = -2*v, 0 = -4*i + 53*v - 57*v + 1748. Put -2, i, 4 in decreasing order.
i, 4, -2
Let v = 0.32 + -0.82. Let m = 1 + v. Sort -3, m, 19 in ascending order.
-3, m, 19
Suppose -4*p - 58 = -3*a, 2*p - 4*a + 7 = -27. Put 3, p, -6 in descending order.
3, -6, p
Let n = 85 - 85. Let y be 2/(-1 + 5)*0. Let g be 2/(-4)*4 - y. Put g, n, -4 in descending order.
n, g, -4
Let x be (-2)/4*(2 + -2). Suppose 4*z + 33 = 3*u - 2, -30 = 2*z - 4*u. Let b(v) = v**2 - 6*v - 4. Let c be b(6). Sort c, x, z in increasing order.
z, c, x
Let y = -33.035 + 0.035. Let n = y - -33. Let j = 0.3 - 0.2. Sort j, n, -3.
-3, n, j
Let q(s) = -s + 6. Let i be q(6). Let l be (4/(i + 4) - -1) + -3. Put -3, -2, l, 4 in ascending order.
-3, -2, l, 4
Let k be -9*1/2 - (-1)/(-2). Let q be 5 - 8/2 - 2. Put k, -3, 0.5, q in descending order.
0.5, q, -3, k
Suppose -7*p - 22 = -9*p. Suppose 0 = 15*s - p*s. Sort -12, s, -2 in decreasing order.
s, -2, -12
Let k be 0 + ((-2)/4)/((-6)/12). Sort k, 115, -1 in decreasing order.
115, k, -1
Suppose 16 = 2*s - 5*p, 5*s - 25 = 4*p - 2. Let y be (4 + 0/s)*-1. Let a be (-9 + 3)*y/6. Sort a, 1, -5 in increasing order.
-5, 1, a
Suppose r = 2*j - 152, -5*j - 2*r = -10*j + 380. Suppose j*k = 72*k + 60. Put -1, -2, k, -3 in decreasing order.
k, -1, -2, -3
Let p = -1862 + 1861. Sort 3, -0.04, -12, p in increasing order.
-12, p, -0.04, 3
Let v(m) = -m**2 - 6*m + 1. Suppose 0 = -r + 5*c - 5, c - 6*c - 15 = 3*r. Let l be v(r). Let u = l - 23/4. Put 1/2, u, -0.4 in decreasing order.
1/2, u, -0.4
Suppose 18 = 4*w - 2*w. Let h = 19 - w. Suppose 4*n = h + 6. Sort -2, n, -5 in increasing order.
-5, -2, n
Let r = 0.19 + 0.17. Let x = -0.04 - r. Let z = 1660/1841 + -162/263. Put 0.2, z, x in decreasing order.
z, 0.2, x
Let r = -3.1 + -2.9. Let n = -10 - r. Let w = -4.2 - n. Put 2/11, 6, w in ascending order.
w, 2/11, 6
Let z = 171 + -140. Let n = z + -32. Sort 0, -5, -4, n.
-5, -4, n, 0
Let o = -1494 - -1809. Put -3, o, -1 in ascending order.
-3, -1, o
Let r = -1.9 - -2. Let f = r + -3.1. Put f, 5, 2/7 in descending order.
5, 2/7, f
Suppose 2*g + 2*k = -2*k, 0 = 5*g - 3*k - 13. Suppose -2*p + p = -g. Put -5, p, 3 in decreasing order.
3, p, -5
Let z(y) = y**3 + 11*y**2 - 24*y + 28. Suppose -2*a - 15 = t, 29 = -5*t - a - 37. Let g be z(t). Sort 12, g, 1 in descending order.
12, g, 1
Suppose -8*i + 21*i = 117. Put -3, i, -34 in ascending order.
-34, -3, i
Let r(b) = b**3 + 6*b**2 - 7*b + 2. Let p be r(-7). Let a(u) = -2*u + 0 + 2 + 6 - 1. Let n be a(5). Sort n, -5, p in increasing order.
-5, n, p
Let k(o) be the third derivative of -o**5/60 - 11*o**4/24 - 10*o**3/3 - 7*o**2. Let q be k(-8). Let m = -10 + 6. Sort q, 2/9, m in ascending order.
m, 2/9, q
Let p = 28.8 + -29. Put 3, 0, -0.15, p in increasing order.
p, -0.15, 0, 3
Suppose 0 = 3*y - 35*o + 30*o + 10, -o = 3*y + 16. Sort -4, 14, -3, y in decreasing order.
14, -3, -4, y
Let i = -1 + 3. Let g = 59.02 - 0.02. Let m = g - 58. Sort m, i, 0.2 in ascending order.
0.2, m, i
Let v = -0.21 - 8.79. Let b = v - -1. Let g = -2378/5 + 476. Put -0.2, g, b in descending order.
g, -0.2, b
Let s(b) be the first derivative of -b**2/2 - 3*b + 5. Let f be s(-3). Suppose 3*q = -3*z + z + 19, f = -2*q - z + 11. Put q, -2, -4 in ascending order.
-4, -2, q
Let y(w) = w**2 - 10*w + 21. Let n be y(6). Suppose -r - 15 = -4*r. Suppose 2*v + 6 = r*v. Sort v, n, -7 in decreasing order.
v, n, -7
Let m(a) = 7*a + 3. Let q be m(-1). Suppose -5*n + 16 = -n. Suppose -y - 11 = -o - o, 0 = n*o + y - 19. Put 1, q, o in ascending order.
q, 1, o
Suppose -4 = 2*k, -2*b - 3*k - 22 - 14 = 0. Suppose -6*j - 8 - 16 = 0. Put b, -2, -1, j in decreasing order.
-1, -2, j, b
Suppose -5*f - 9 = -8*f. Suppose 0 = f*n - 6*n - 12. Sort 3, 1, n in ascending order.
n, 1, 3
Let y(z) = z**2 + 34*z - 192. Let m be y(5). Put -5, m, 8 in descending order.
8, m, -5
Let d = 5.33 - 3.33. Let b = 18 - 11. Sort -4, d, b.
-4, d, b
Suppose -5*t + 26 = -4*y + y, -20 = 4*y - 3*t. Let b = 0 + 1. Suppose -i + 6*w + 7 = 3*w, 3*i + 2*w + b = 0. Put i, 2, y in descending order.
2, i, y
Let w = 259/82 - 68/41. Let s = -2.02 - -0.02. Put s, 3, w in ascending order.
s, w, 3
Let m(f) = f**3 - 4*f**2 - 18*f + 15. Let n be m(7). Put 1, -1, 5, n in descending order.
n, 5, 1, -1
Let x = -392 - -388. Put x, 4, 10 in descending order.
10, 4, x
Let p = 23.954 - -0.046. Let c = p + -24. Sort c, -4, 1 in ascending order.
-4, c, 1
Let x = -1 + 13. Let n = x - 20. Let a = 7.9 + n. Sort 1/6, 0.1, a.
a, 0.1, 1/6
Let c = -255.89 - -256. Put 0.4, -4, c in increasing order.
-4, c, 0.4
Let r be (-1995)/2628 + (-6 - (-162)/24). Put 5, -2/5, r in descending order.
5, r, -2/5
Let w(v) = -6*v - 16. Let n be w(-8). Let d = 27 - n. Put d, 0, -2, 4 in descending order.
4, 0, -2, d
Let m = -32.002 - -32. Let b = -3.002 - m. Let a = -0.2 - -0.4. Put -0.2, a, b in decreasing order.
a, -0.2, b
Suppose 3 = -3*a - 0*a. Let x = 0.4 + -0.1. Sort x, -2/7, a in decreasing order.
x, -2/7, a
Let t = -13 + 12.92. Let l = t - -0.14. Let j = l + -0.56. Sort j, -1, -0.2 in descending order.
-0.2, j, -1
Let a = -272 + 265. Put 2, 1, a, 4 in increasing order.
a, 1, 2, 4
Let w = 2.623 - -0.747. Let d = 3.4 - w. Put d, 1/5, -5/3 in ascending order.
-5/3, d, 1/5
Let b be ((-444)/(-84))/(2/44). Let y = -116 + b. Let t = -0.8 + 1. Sort t, 1/2, y in descending order.
1/2, y, t
Let o = 0 - 3. Let j = 6 + o. Let s = -106 - -102. Sort j, -5, s.
-5, s, j
Let u = -471.4 - -471. Let w = -0.2 + -0.3. Sort w, u, -0.01 in descending order.
-0.01, u, w
Let v = 2 - 3. Let s be (80/50)/(2/(-40)). Let q = s + 34. Put v, 0, q in descending order.
q, 0, v
Let j = -1268 + 1268. Sort j, 193, 3 in decreasing order.
193, 3, j
Let p = 1.94 + 0.06. Let d = -87 - -90. Sort d, p, -7/6 in increasing order.
-7/6, p, d
Suppose 0 = -w - 1 - 0. Let c = -156 + 161. Sort c, 1, w in descending order.
c, 1, w
Let v = -167 - -189. Put -0.5, v, -2/11 in descending order.
v, -2/11, -0.5
Suppose 10*r = 3*r. Let g be ((-45)/(-6))/((-3)/(-6)). Let d be 12/15*g/(-3). Sort r, d, 5 in descending order.
5, r, d
Let t = 0.0901 + -203.0901. Sort t, 1, 2/11 in decreasing order.
1, 2/11, t
Let k = -1.1452 - -0.1452. Sort -1/4, k, 1, -10.
-10, k, -1/4, 1
Let u(y) = -y - 10. Let p be u(-8). Let f be (4 - (26/3 - 4))*6. Put f, -16, p in increasing order.
-16, f, p
Suppose 4*f = -f + 105. Let p be 2/3 - 245/f. Let s be (-6)/(-2) + p - -3. Sort -2, s, 0.
s, -2, 0
Let g = -759 - -5314/7. Let o = 2.5 - 2. Put 2/9, g, o in descending order.
o, 2/9, g
Let c = 2383 - 2382. Let i = 50 - 47.7. Put i, -2/9, c in descending order.
i, c, -2/9
Let b = 383 + -382. Put -24, b, 0, -1 in descending order.
b, 0, -1, -24
Let p = 27.9544 - -0.0456. Sort 3/2, 2/25, -1/4, p in decreasing order.
p, 3/2, 2/25, -1/4
Suppose 31*o = 23*o + 1072. Put 1, 0, o in ascending order.
0, 1, o
Let w = 0.04135 + 0.45865. Let g = -14/3 - -44/9. Put w, -7, g in decreasing order.
w, g, -7
Let j be ((-18)/(-5))/((-4)/10). Let b(p) = 6 + p**2 - 3 + 13*p - 5*p. Let c be b(-8). Sort 1, c, j.
j, 1, | {
"pile_set_name": "DM Mathematics"
} |
Let b(h) = 7*h**3 + 2*h**2 - h - 2. Give -3*b(i) - 2*g(i).
-7*i**3 + i
Let m(n) = -11*n**2 + 20*n - 15. Let b(o) = 6*o**2 - 12*o + 8. Let w(t) = 5*b(t) + 3*m(t). Let z(d) = -4*d**2 + d - 6. Calculate -3*w(p) + 2*z(p).
p**2 + 2*p + 3
Let y(j) = -7*j**2 + 6*j - 4. Let k(x) = -8*x**2 + 7*x - 4. Calculate -3*k(g) + 4*y(g).
-4*g**2 + 3*g - 4
Let w(g) = 138*g - 11. Let x(y) = -3. Calculate -w(i) + 5*x(i).
-138*i - 4
Let z(y) be the first derivative of 10*y**3/3 - 3*y**2 - 3*y - 245. Let w(j) = 11*j**2 - 7*j - 4. Give 5*w(p) - 6*z(p).
-5*p**2 + p - 2
Let c = 82 - 85. Let s(k) = -5*k - 4. Let z(u) = -4*u - 5. Determine c*s(l) + 2*z(l).
7*l + 2
Let p(k) = -109*k + 16. Let b(g) = -38*g + 5. Determine -8*b(q) + 3*p(q).
-23*q + 8
Let x(d) = -6*d - 3. Let y(u) = -9*u - 5. Let p(n) = -5*n**3 + 46*n**2 - 6*n - 19. Let f be p(9). Give f*x(k) - 5*y(k).
-3*k + 1
Let y(z) = -4*z**3 + 7*z**2 + z + 9. Let x(q) = 2*q + 5*q**2 - 3*q**3 + 120484 - q - 120478. Give 7*x(o) - 5*y(o).
-o**3 + 2*o - 3
Let h(o) = 4*o**2 + 1. Let j(r) be the third derivative of -r**5/15 + 26*r**2 - 2*r. What is -4*h(g) - 3*j(g)?
-4*g**2 - 4
Let t(h) = -h**3 + 9*h**2 - 71*h - 35. Let r(c) = c**3 - 5*c**2 + 36*c + 20. What is -7*r(n) - 4*t(n)?
-3*n**3 - n**2 + 32*n
Let q(z) = z**2 - 2*z - 40. Let j be q(7). Let t(d) = 7*d**2 - 3*d. Let h(y) = -10*y**2 + 5*y. What is j*h(p) - 7*t(p)?
p**2 - 4*p
Let s(p) = 35*p**2 - 2*p + 2. Let b(h) = 70*h**2 - 5*h + 5. What is 2*b(l) - 5*s(l)?
-35*l**2
Let z(b) be the first derivative of -5*b**4/2 - 3*b**2/2 + 3*b + 123. Let r(s) = 29*s**3 + 8*s - 8. Calculate -3*r(m) - 8*z(m).
-7*m**3
Let q(f) = -7*f**2 + 2. Let p(w) = -2*w**2 - 57*w - 87. Let h be p(-27). Let b(n) = 43*n**2 - 13. Give h*b(v) - 39*q(v).
15*v**2
Let m(i) = 4*i - 2. Let s(d) = -29*d**2 + 15*d - 10. Determine -5*m(h) + s(h).
-29*h**2 - 5*h
Let k(y) be the third derivative of y**4/24 + y**3/6 + 86*y**2. Let a(u) = u**3 - 2*u**2 - u. Calculate 2*a(z) + 2*k(z).
2*z**3 - 4*z**2 + 2
Suppose 0 = 3*n - 3. Let p(a) = -a + 3*a - n + 2*a. Let l be 27/6*4/(-6). Let x(f) = 7*f - 1. Give l*x(z) + 5*p(z).
-z - 2
Let b(h) = -h - 3. Let y(z) = -6. Let f(o) = 1. Let u be -4*3/(-24)*-20. Let d = u - -5. Let p(s) = d*f(s) - y(s). Give -b(i) - 5*p(i).
i - 2
Let a(g) = -29 + 4*g**2 + 26 + 8 + 5*g. Let r(j) = -4*j**2 - 6*j - 6. Give -6*a(q) - 5*r(q).
-4*q**2
Let y(i) be the third derivative of 0*i**3 - 5*i**2 - 1/12*i**5 + 7/120*i**6 + 0*i + 0 - 5/24*i**4. Let v(p) = -4*p**3 + 3*p**2 + 3*p. What is -5*v(j) - 3*y(j)?
-j**3
Let w(k) = 12*k. Let d(l) = -l. Let u = -17 + 14. What is u*w(i) - 42*d(i)?
6*i
Let s(c) = -5*c**2 + 6*c - 2. Let x(p) = -8*p**2 + 9*p + 1. Let n(u) = -33*u**2 + 37*u + 6. Let h(l) = 2*n(l) - 9*x(l). Let z = -18 - -13. Give z*s(t) - 4*h(t).
t**2 - 2*t - 2
Let u(j) = 18*j**2 - 416*j + 16. Let g(b) = -2*b**2 - b - 2. What is 8*g(y) + u(y)?
2*y**2 - 424*y
Let a(k) = -3*k**2 + 11*k - 3. Let v(d) = 2*d**2 - 7*d + 2. Let n(i) = -2*i + 23. Let q be n(8). Determine q*v(l) + 5*a(l).
-l**2 + 6*l - 1
Let f(s) = -s + 1. Let x = -56 - -57. Let l(o) = -o - 1. Let z(i) = 2*i + 9. Let k(v) = -5*l(v) - z(v). Give x*k(b) + 5*f(b).
-2*b + 1
Let z(p) = -88*p + 7. Let q(s) = -133*s + 10. Calculate -5*q(r) + 7*z(r).
49*r - 1
Let f(l) = 3*l**2 - 5*l - 4. Let g(k) = -16*k**2 - 28*k**2 + 8 - 3 + 5*k - 24*k**2 + 64*k**2. Calculate -5*f(c) - 4*g(c).
c**2 + 5*c
Let k(s) = 8*s - 11. Let x(g) = -7*g + 10. Suppose -2*n - 288 = -278. Calculate n*k(j) - 6*x(j).
2*j - 5
Let o(g) = g**2 - g. Suppose 61 - 54 = -7*b. Let m = 10 - 1. Let t(n) = 10*n**2 + 2 - 4*n - m*n + 3*n. Determine b*t(i) + 12*o(i).
2*i**2 - 2*i - 2
Let i(m) = -5*m + 4. Let r(q) = -20*q + 17. Calculate -18*i(z) + 4*r(z).
10*z - 4
Let l(q) = -q - 1. Let i(f) = -23*f + 7. What is i(s) + 6*l(s)?
-29*s + 1
Let k(f) = -2*f + 2. Let n(i) = 177*i - 1. What is -2*k(v) - n(v)?
-173*v - 3
Let d(f) = f**2 + 4*f - 3. Let r(c) = 3*c - 1 - 7 - 4 + 10. What is -2*d(g) + 3*r(g)?
-2*g**2 + g
Let z(m) = 5*m - 3. Let r(o) = 20 - 10*o - 14*o + 12 - 32*o. Give 3*r(y) + 32*z(y).
-8*y
Let n(u) = -45*u + 30. Let v(g) = -10*g + 3. Let h(b) = -n(b) + 5*v(b). Let r(l) = -2*l - 5. Let f be (3 + 0)*(-16)/6. Give f*r(d) + 3*h(d).
d - 5
Let s(c) = -c + 4. Let g(a) be the third derivative of a**3/6 - 3*a**2. Let w(q) = 30*q + 1. Let y be w(0). What is y*s(i) - 2*g(i)?
-i + 2
Let m be 5*-1*(-4 - -3). Let l(f) = -2*f - 1. Let j = -20 + 28. Suppose 0 = 2*v + 2*v + j. Let b(t) = -4*t - 2. Calculate m*l(a) + v*b(a).
-2*a - 1
Let r(u) = -2*u**2 - 108*u + 4. Let j(b) = 3*b**2 + 110*b - 5. What is 4*j(k) + 5*r(k)?
2*k**2 - 100*k
Let z(q) = -13*q**3 + 15*q**2 + 41*q - 5. Let x(n) = 6*n**3 - 6*n**2 - 20*n + 2. Calculate -5*x(c) - 2*z(c).
-4*c**3 + 18*c
Let v(p) = 6*p + 1. Let m(a) = -a - 1. Let w(s) = -3*m(s) - v(s). Suppose 24*d + 36 = -60. Let t(r) = 4*r - 3. Determine d*t(b) - 6*w(b).
2*b
Let x(g) = -2*g**2 - 2*g. Let d(f) = -f**3 + 8*f**2 - 8*f + 2. Let s be d(1). Let b(o) = o**2 - o. Give s*x(q) - 2*b(q).
-4*q**2
Let y(j) = -j. Let r(c) = -5*c. Suppose 146 = -6*f - 22. Let v = f + 18. What is v*y(u) + r(u)?
5*u
Let a(r) = 19*r**3 - 5*r**2 - 5*r - 5. Let d(y) = 210*y**3 - 56*y**2 - 56*y - 56. Let t be -3*(-3)/(99/616). Determine t*a(c) - 5*d(c).
14*c**3
Let g = 122 + -120. Let v(a) = -a**3 - a**2 + a. Let n(q) = 3*q**3 + 2*q**2 - 2*q. Suppose 5*h + 1 = 6. What is g*v(x) + h*n(x)?
x**3
Suppose -3*s + 4 = 1. Let q(k) be the second derivative of k**3/3 + 3*k**2/2 - 2*k. Let a be (9 - 4)*1 - 4. Let u(j) = -1. Determine a*q(p) + s*u(p).
2*p + 2
Let w(u) = 596*u + 15. Let h(p) = 597*p + 10. Determine -3*h(a) + 2*w(a).
-599*a
Let y(o) = -7*o - 9. Let i(b) be the third derivative of -13*b**4/24 - 17*b**3/6 + 22*b**2. Calculate 6*i(k) - 11*y(k).
-k - 3
Let b(i) = 2 + 2 - 4*i + 0*i - 1. Let o(j) = 18*j - 16*j - 11*j + 6. Give -5*b(c) + 2*o(c).
2*c - 3
Let o(v) = 11*v - 3*v**3 + 53*v**2 - 4 - 57*v**2 + 5*v**3. Let h(z) = -2*z**3 + 3*z**2 - 11*z + 3. Calculate -4*h(p) - 3*o(p).
2*p**3 + 11*p
Suppose -12 = 4*a - 48. Let l(b) = 1. Let t be 2/(-5) + (-12)/(-5). Let w(p) = -3. Let n(g) = a*l(g) + t*w(g). Let v(i) = -i - 1. Give n(z) + 2*v(z).
-2*z + 1
Let k(h) = 12*h - 29. Let a be k(3). Let z(t) = -2*t**2 + 6*t + 4. Let q(o) = -4*o**2 + 11*o + 7. Give a*z(d) - 4*q(d).
2*d**2 - 2*d
Let s(n) = -8*n - 20. Let b(f) = 5*f + 10. Calculate -7*b(a) - 4*s(a).
-3*a + 10
Let r(x) be the third derivative of -x**5/10 - x**4/6 + 146*x**2 - 3. Let w(m) = m**2 - m. Determine r(s) - 3*w(s).
-9*s**2 - s
Let h be (300/(-7))/(-4) - 2/(-7). Suppose -7*s - 20 = -h*s. Let m(n) = -n**2 + n - 2. Let p(b) = -b**2 + b - 3. Determine s*m(d) - 4*p(d).
-d**2 + d + 2
Let m be 4 + (-1 + 4 - 4). Suppose 2*v - 22 = -3*n, -m*n = n - 16. Let i(p) = -2*p**2 - 5*p + 7. Let f(z) = -3*z**2 - 7*z + 10. Determine v*f(o) - 7*i(o).
-o**2 + 1
Let z(w) = 612*w**3 - 51*w**2 - 17. Let d(n) = 408*n**3 - 32*n**2 - 11. What is 8*d(i) - 5*z(i)?
204*i**3 - i**2 - 3
Let a(d) = -d - 1. Let r(l) = l. Let n(f) be the first derivative of -5*f**2/2 - 31*f - 8. Let c be n(-6). Calculate c*a(j) + r(j).
2*j + 1
Let v(z) = -z**2 + 23*z - 4. Let b(x) = -3*x**2 + 69*x - 11. Give 4*b(m) - 11*v(m).
-m**2 + 23*m
Let y(o) = 5 - 20 + 12 - 2*o**2 + 3*o**3 + 7 + 6*o. Suppose 0 = -p + 3*p + 8. Let j(w) = -w**3 + w**2 - w - 1. Give p*j(t) - y(t).
t**3 - 2*t**2 - 2*t
Suppose -y - 40 = 4*m - 6, -y = 6. Let v(p) = 2*p**2 - p + 4. Let x(a) = a**2 - 2*a**2 - 1 - 1. Determine m*x(b) - 3*v(b).
b**2 + 3*b + 2
Let j(p) = 20*p**2 + 5. Let r(u) = 19*u**2 + 4. Let d(x) = 19*x - 42. Let h be d(2). Calculate h*j(g) + 5*r(g).
15*g**2
Let k(q) = -q**2 + q + 5. Let p(u) = -u**2 + u + 4. Let c(i) = -5*k(i) + 6*p(i). Let d(z) = -3*z**2 + 6*z - 6. Calculate 6*c(r) - d(r).
-3*r**2
Let x(o) = 4*o**3 - 5*o**2 - 6*o. Let y(i) = -5*i**3 + 6*i**2 + 7*i. Let w = 16 + -22. Let n be (7/(-2) - -1)/(2/4). What is n*y(h) + w*x(h)?
h**3 + h
Let r be ((-13)/39)/(2/(-6)). Let v(o) = 4*o**3 + 2*o**2 + o + 1. Let p(j) = j**2 + 0*j + j**3 + 0 + j + 1 + 0*j. Calculate r*p(i) - v(i).
-3*i**3 - i**2
Let k(l) = -l**3 + 11*l**2 - 11. Let s = 797 + -791. Let z(v) = 2*v**2 - 2. Calculate s*k(d) - 33*z(d).
-6*d**3
Let l(s) = -s + 6. Let h = 14 - 26. Let i be 42 + -3*4/h. Suppose -2*f - i = -5*t, -2*t - 2*f + 8 - 2 = 0. Let o(a) = | {
"pile_set_name": "DM Mathematics"
} |
5*r = 55. Calculate the lowest common multiple of b and m.
30
Let t = -17593/2052 + -5/513. Find the common denominator of 4/(-2) + (-206)/12 and t.
12
Let t(w) = -w**3 + 6*w**2 + w - 5. Let g = 5 - 1. Let n be t(g). Suppose -3*c = 1 - n. Find the common denominator of c and 46/3.
3
Let d be ((-21)/(-14))/(1/2). Suppose s - 21 = -d*x, -4*s + 6*x + 67 = x. Calculate the lowest common multiple of 22 and s.
198
Let c be (-1562)/(-8) - (-2)/(-8). Find the common denominator of -95/18 and 3 - 2*c/(-12).
18
Let t = -3 + 3. Calculate the least common multiple of 2/((-2)/(-3) - t) and (-6 - -7)/(1/1).
3
Let b(k) = 0*k + k**2 + k**2 - 1 - k. Let q be b(-3). Suppose 0*g - 2*g = -q. What is the smallest common multiple of 22 and g?
110
Suppose 0 - 2 = 2*f. What is the smallest common multiple of 16 and f/(0 + (-3)/12)?
16
Suppose -m - 4*t = -9*t - 6721, 5*t - 5 = 0. Let p = m - 67197/10. Let v = -22903/12 + 1899. Calculate the common denominator of v and p.
60
Let x = 11409/10 - 1137. Calculate the common denominator of 2 - 3 - 11/5 and x.
10
Let a(j) = -j**2 + 6*j + 7. Suppose -4*x + 34 = 3*q, -9 = -2*x - 1. Calculate the lowest common multiple of 9 and a(q).
63
Suppose 4*r = 4*q + 285 - 81, 3*q = 5*r - 249. Calculate the smallest common multiple of 22 and r.
528
Let q = 100699/28 + -3597. Calculate the common denominator of q and -45/16.
112
Let g be ((-12)/(-8))/(3/8). Calculate the least common multiple of 12 and (g/5)/(10/275).
132
Calculate the least common multiple of (-15)/(-2) + 4/8 and 1.
8
What is the common denominator of 11/8 and (-1)/2 + 1 - 89/8?
8
Let l = 9 - -7. What is the smallest common multiple of l and 20?
80
Let j be (-1)/3*348678/20. Let s = 19498 - 13682. Let g = s + j. Find the common denominator of g and -17/6.
30
Suppose 2*q = -10, 4*a + q - 1 = 18. Calculate the lowest common multiple of a and 3.
6
Suppose -3 + 0 = -u. What is the least common multiple of 8 and (u + 0)/((-21)/(-49))?
56
Let c be 2/1 + 1551/36. Let q = c - 137/4. What is the common denominator of q and -23/7?
42
What is the smallest common multiple of 1 and 1/((-1)/(3 + -56))?
53
Suppose -12 - 2 = -a. What is the least common multiple of a and 12?
84
Suppose -6 + 0 = 2*l. Calculate the common denominator of (-1)/l - 1883/168 and -91/18.
72
Let z = 198618972479431/30954586001532 - 45/1048171001. Let u = 1/4922 + z. What is the common denominator of 30/11 and u?
132
Suppose -a + 33 = 2*a. Let h be 3 + 0/(-5 + 2). Suppose 4*i = 5 + h. What is the lowest common multiple of a and i?
22
Suppose 0 = -b + 5*u, 11 = -b + u + 3. Find the common denominator of 37/2 and 0/(-13) - (-101)/b.
10
Find the common denominator of 103/40 and (3 - 5) + (-535)/30.
120
Let g(n) be the second derivative of n**3/6 - n**2 + n. Let x be g(5). Let q = 1 + x. What is the smallest common multiple of 9 and q?
36
Let g be (-1)/(-3 + (-25400)/(-8466)). Let v = -93037/22 - g. Calculate the common denominator of (2 - 2) + (-51)/(-8) and v.
88
Let h = 1863/35 + -234/5. Let j(k) = 2*k + 3. Let v be j(-5). Calculate the common denominator of h and (-31)/v + 3/3.
7
Let p = 22 - 16. Let m be (4/3)/(4/p). Suppose 2 = 2*v - n, 2*v - 3*n + 14 = m*n. Calculate the lowest common multiple of 8 and v.
24
Let y(d) = -6*d**2 - 2*d + 1. Let f be y(1). Let l be f/12*(-341305)/35. Let v = -5676 + l. Find the common denominator of v and 75/22.
132
Let q(o) = 2*o**2 - 4*o. What is the lowest common multiple of q(4) and 4?
16
Find the common denominator of 2*(-2 - (-162)/(-8)) and (-3 - -2)*129/(-24).
8
Calculate the smallest common multiple of 18 and (-16)/(-10)*15/6*3.
36
Let m be (3 + -3)*2/6. Suppose -2*h - 2 = -4*b, b = -2*h - m*b + 3. What is the common denominator of (-5 - 0)*2/(-6) and h?
3
Let v = -8248671 + 2977772223/361. Let b = v - 56239414/10192113. Let y = b - 3416233/564660. Calculate the common denominator of 21/4 and y.
20
Let n = 273617/19900 - -2/4975. Let h = 91 + -65. Find the common denominator of n and 2 + -3 + h/(-16).
8
Let w = -5397 - -48631/9. Calculate the common denominator of -77/6 and w.
18
Suppose 4*h + 55 = 315. Suppose -g - 18 - h = -5*s, 0 = -2*s + 5*g + 24. What is the least common multiple of s and 7?
119
Let n(j) = -j - 3. Let m be n(-4). Let i = m + 5. Calculate the smallest common multiple of i and -1*((-2)/(-1) + -6).
12
Let u = 15/791 - 80011/6328. Calculate the common denominator of u and 39/2*(-2)/22.
88
Let v = -147139/31660 + -4/1583. What is the common denominator of v and -65/6?
60
Let i be (-7)/28 - (-17106)/8. What is the common denominator of (-6)/21 + i/84 and 9/2?
6
Let c(l) = 15*l**3 + l**2 - 3*l - 1. Let f be c(-3). Let m be f/585*(-83)/16. Let j = 1/260 + m. What is the common denominator of 34/3 and j?
9
Let w be ((-10)/40)/(22/(-55522)). Let c = w - 2521/4. What is the common denominator of 1*-2*194/(-56) and c?
154
Let k = -333 - -1658/5. Suppose -5*n + 28 = 5*r - 142, 2*n - 2*r = 64. Calculate the common denominator of 2 + (-27)/n + 2 and k.
55
Suppose -r = 3*r + 64. Find the common denominator of r and (4/(-6))/((-21)/(-261)).
7
Let v(n) = 0*n**2 + n**2 - 3 - 10*n - 2*n**2. Let u be v(-6). Suppose 3*b + 3 - u = 0. Calculate the least common multiple of b and 12.
12
Let r = -11189/473 - -262/11. Let k = r + 1263/430. Let l(h) = -6*h. Find the common denominator of l(5) and k.
10
Suppose 3*m - 8 = 22. Calculate the smallest common multiple of m and 4.
20
Let n = 26843/6 + -4484. Calculate the common denominator of n and 70/(-18)*(-2 + 1).
18
Let g = -4514/9 - -496. Find the common denominator of 91/24 and g.
72
Suppose 1818 = 5*n + 118. Suppose 2*t - n = -0*t. Find the common denominator of -2 - (1 - t/4) and 1/9.
18
Let v = 2 - -3. Suppose 0 = -2*m - d - 17, 22 = m + v*d + 53. Let b = m - -10. What is the smallest common multiple of 18 and b?
36
What is the common denominator of 4/2 - (-78)/(-22) and (-40)/(-300) - (-77)/10?
66
Find the common denominator of -3 + ((-82)/16 - -4) and 117/28.
56
Let w = 562999/76 - 7408. What is the common denominator of 7/22 and w?
836
Let t = 63271968967/2772 + -22825389. Let o = 13/252 + t. What is the common denominator of -109/12 and o?
132
What is the common denominator of (15/2)/((-288)/160) and (-30)/(-4)*(-6)/4?
12
What is the common denominator of 14/(-105)*1030/8 and -9/5?
30
Let r = 105887/9012 + 1/2253. Calculate the common denominator of 50/11 and r.
44
Suppose -3*b + 3*s - 4 + 25 = 0, 0 = -3*s + 15. Let x = -9 - -2. Let j = 11 + x. Calculate the smallest common multiple of j and b.
12
Let i = 5 + -5. Suppose -5*v + 3*v = i. Suppose -16 = -2*p - 2*u + 10, 2*u - 6 = v. Calculate the lowest common multiple of p and 6.
30
Suppose -6 + 3 = -3*l. Suppose 0*r + 3*r = 30. What is the lowest common multiple of r and (-8)/(-1) - (0 + l)?
70
Let p = 2149/30 - 247/3. Suppose -h + 6 = -3*h. What is the common denominator of p and 114/8*h/15?
20
Suppose -3*p - 4*y = -74, 3*y - 23 - 28 = -2*p. Suppose p = -3*q + q. Find the common denominator of -57/4 and (-1454)/(-180) + (-2)/q.
20
Let y = 11 - 6. Suppose 2*k = y*k - 2*z - 18, -4*k = 4*z - 4. Calculate the least common multiple of 4 and k.
4
Let f(z) = z**3 - 2*z**2 - 4*z. Let c be ((-24)/96)/((-1)/28). Suppose -c*v = v - 176. Calculate the least common multiple of f(4) and v.
176
Calculate the common denominator of ((-1278)/(-720))/(1/4) and (-93)/5*1/6.
10
Let w = 96 + -76. What is the smallest common multiple of 80 and w?
80
Let i = -48 - -56. Calculate the smallest common multiple of i and 20.
40
Let p = -1/2246 + -67373/15722. Find the common denominator of -30/13 and p.
91
Suppose 2*q - 2 = -4*x - 4, q + 2 = -x. Let u be -1*(x + -10)/1. Find the common denominator of -14/9 and ((-14)/4)/(u/(-14)).
9
Suppose -7*x - 3*v + 44 = -3*x, 44 = 4*x + 4*v. Suppose 0 = -0*l + 3*l - 18. Let s = x - l. Calculate the smallest common multiple of s and 7.
35
Let w = -2 - -7. Suppose w*d - 8 = d. Suppose 3*y - d*y - 5 = 0. Calculate the least common multiple of 4 and y.
20
Let f(l) be the third derivative of -l**6/24 + l**4/24 - 7*l**2. What is the least common multiple of 6 and f(-1)?
12
Let d = -89 - -116. Calculate the smallest common multiple of 3 and d.
27
Let f(t) be the second derivative of -t**4/12 - 2*t**3/3 + t**2 + 2*t. Let y be f(-5). Let s = y - -15. What is the sm | {
"pile_set_name": "DM Mathematics"
} |
pand ((0*o + o - 3*o)*(-o**2 + 3*o**2 - 3*o**2) - 338*o**2 + 17*o**3 - 59*o**3 + 340*o**2)*(2*o**2 - 4*o**2 + 3*o**2).
-40*o**5 + 2*o**4
Expand (-12 - 8 + 10)*(0*s + 2*s + s) + (-4 + 0 + 2)*(2*s + 1 - 1).
-34*s
Expand (179 + 19*l - 179)*(0 - 2 + 4).
38*l
Expand (-z**2 - z**2 + 0*z**2)*(0 + 0 + 2).
-4*z**2
Expand (2 - 2 + k)*(-3 + 5 - 1) + 0*k - 2*k + 4*k - 1 + k + 1 + 2 - 2 + k.
5*k
Expand (3 - 5 + 5 + 2*f**2)*(5*f**2 + f**2 + 0*f**2)*(-2 + 1 - 1).
-24*f**4 - 36*f**2
Expand y**3 + 2*y**3 - 5*y**3 + (-38 + 38 - y**3)*(-1 - 1 - 1) + (-3*y**2 - y**2 + 6*y**2)*(3*y + 4*y - 6*y) + y**3 + 0*y**3 - 2*y**3.
2*y**3
Expand (0*g - g + 4*g)*(2 - 11 - 6)*(g + 4 + g - 5).
-90*g**2 + 45*g
Expand -z**3 - 3*z**3 + z**3 + (-z - 5*z + 4*z)*(z - z**2 - z) + 1 - 1 - z**3.
-2*z**3
Expand (2*x + 0 + 0)*(-10 - 5 - 2)*(-3 + 5 + 1).
-102*x
Expand (-1 + 5 + 3)*(2*t**2 + 2*t**2 - 2*t**2).
14*t**2
Expand (2 - 6 + 3)*(-s + s - s + (2*s + 3*s - 3*s)*(-2 - 1 + 1)).
5*s
Expand (0*z**2 - 2*z**2 + 0*z**2)*(5*z - 3*z - z) - 7*z**3 - 3*z**3 + 0*z**3.
-12*z**3
Expand (0*k**2 - 3*k**2 + k**2)*(0 - 2 + 3)*(0*k - 4*k**3 + 0*k).
8*k**5
Expand (-n - 1 + 1)*(3*n**2 - 563*n + 6 + 563*n).
-3*n**3 - 6*n
Expand ((2 + 2 - 2)*(-3 + 1 + 1) + 4 + 1 + 4)*(r + 5*r - 4*r).
14*r
Expand (-4*d + 3*d + 2*d)*(21*d + 43*d - 26*d).
38*d**2
Expand (-3*j + 3*j - j**2)*(j - 3*j + 1 + 6).
2*j**3 - 7*j**2
Expand (-4*u + 3*u - u)*(-7 + 18 - 9 - 2*u).
4*u**2 - 4*u
Expand (x - 5*x + 2*x)*(x**3 + 5*x**3 - 4*x**3) + 2*x**4 + 3*x**3 - 3*x**3 + 6*x - 6*x - 3*x**4 + (-2*x**2 - 3*x**3 + 2*x**2)*(0*x + 5*x - 4*x).
-8*x**4
Expand (-32*m + 7*m + 5*m)*(0 - 2*m**2 + 0).
40*m**3
Expand (-1 - 1 - 1)*(-1 + 0 + 3)*(-3 + 0 + 1)*(o - o + 2*o)*(-o + 1 - 1).
-24*o**2
Expand (-4*d**2 + d**2 + d**2)*((5 - 3 - 1)*(-4 + 4 - 1) + 1 + 1 - 4 - 6 + 7 + 6).
-8*d**2
Expand (1 + 3 - 2)*(3*m + 3 - 3)*(-1 + 2 - 3) - 1 + 3 + 2*m - 4*m.
-14*m + 2
Expand (2 - 1 + 0)*(t**5 - 2*t**3 + 2*t**3) + (2*t**4 + 2*t**4 + 0*t**4)*(-3 + 3 - 2*t).
-7*t**5
Expand 2*y**2 - 17*y**4 - 2*y**2 + y + 2*y - 4*y + y**4 + (0 - 6 + 4)*(-2*y**4 + 3*y**3 - 3*y**3).
-12*y**4 - y
Expand (-125 + 125 + 5*z**2)*(3*z**2 + 0*z**2 - z**2)*(7 - 6 + 0).
10*z**4
Expand (5*h**4 - 3*h**4 - 3*h**4)*(-2*h + 0 + 0) + h**5 + 4*h**5 - 4*h**5.
3*h**5
Expand 5 - 3*o**3 + 1 + o**3 + (0 + 2 - 3)*(3*o**3 + 4 - 4) - 5 - 2*o**3 + 5.
-7*o**3 + 6
Expand -12*v**2 - 17*v**4 + 12*v**2 + v**3 - v**3 - 2*v**4 + (6*v**3 - 3*v**3 - v**3)*(v + 1 - 1) + 0*v**2 + v**4 + 0*v**2 + 2*v**2 + 2*v**4 - 2*v**2.
-14*v**4
Expand (-5 + 2 + 1)*(-t**2 + t**2 - t**3) - 2*t**3 - 4*t**3 + 3*t**3.
-t**3
Expand (1 - 1 + 1)*(f**4 - 3*f**4 + 0*f**4)*(3*f + 2*f - 3*f) - 9*f**3 + 9*f**3 + 16*f**5.
12*f**5
Expand -z - z**4 + z + (1 - 1 + z**2)*(-3*z**2 + 2*z**2 - z**2) + (-z**2 + z**2 + 2*z**2)*(2*z**2 - z**2 - 3*z**2).
-7*z**4
Expand (15*i - 15*i + i**3)*(i**2 - 3 + 2 + 3).
i**5 + 2*i**3
Expand 1 - 1 - l**3 + (2*l - 3*l + 0*l)*(l**2 + 2*l**2 - 2*l**2) - l**3 - 2*l + 2*l - 179 - 17*l**3 + 179.
-20*l**3
Expand (r**2 + 3*r**2 - 3*r**2)*(5 - 4 + 0)*(2 - 1 - 2).
-r**2
Expand (-480*s**2 + 19 + 480*s**2 + 2*s**3)*(-2 - s + 2).
-2*s**4 - 19*s
Expand -2*l**5 - 2 + 2 + (-6*l**2 - l**2 + 4*l**2)*(0*l - 2*l**3 + 0*l) - l**5 + l**5 + l**5 + (1 - 1 - l**4)*(4 - 4 + l).
4*l**5
Expand (-11*l**2 + 58*l - 58*l)*(-2*l**3 + 4*l**3 - 4*l**3).
22*l**5
Expand (0*l + 3*l - l + 1)*(2*l - 3*l + 3*l).
4*l**2 + 2*l
Expand (0*g**4 + 3*g**4 - 4*g**4)*(g - g + 3*g).
-3*g**5
Expand (-4*y**2 + 7*y**2 - 2*y**2 + (0*y - 3*y + y)*(4*y - 5*y - y) + 2*y**2 - 3*y**2 - y**2 - 4*y**2 + y**2 + 4*y**2)*(0*y**3 + y**3 + y**3).
8*y**5
Expand (0*r + 0*r + r)*(-2 + 5 - 1) - 2*r - 4*r + 3*r + (1 - 1 - 1)*(-r - 5*r + 4*r) - 3*r - r + 3*r + (1 - 1 - 2*r)*(-1 + 0 - 1) + 1 - 1 + 2*r.
6*r
Expand (0*i**3 - 2*i**3 + 10*i**3)*(-2*i - 3*i + 3*i) + (0 + 3 - 5)*(-5*i**4 - i**4 + 4*i**4) - i**4 - 10*i**2 + 1 + 10*i**2.
-13*i**4 + 1
Expand (-2 + 3 + 2)*(-5*f**5 - f**2 - f**3 + f**3).
-15*f**5 - 3*f**2
Expand (-3338 + 3338 - 57*h)*(3*h**2 - 2*h**2 - 2*h**2).
57*h**3
Expand (t - 39 + 2*t + 38)*(2*t + t - 2*t).
3*t**2 - t
Expand (4*q - q - q)*(2 - 2 - q) + 0*q + 0*q + q**2 - 9 + 11*q**2 + 9 - q**2 + q**2 + 2*q**2 + (2 - 2 - 2*q)*(2*q - 5*q + q) + 2*q**2 - 1 + 1.
18*q**2
Expand (-2*c + 4*c - c)*(-3*c**2 + 2*c**3 + 3*c**2) - 19*c**2 + 19*c**2 + 7*c**4.
9*c**4
Expand (h**3 - 2*h**3 + 0*h**3)*((h + 20*h - 5*h)*(h + h - 4*h) + 2*h**2 - 3*h**2 + 2*h**2).
31*h**5
Expand 3*f**2 + 38 + 5*f**3 - 38 + (-3*f - 2*f**2 + 3*f)*(-2 + 2*f + 2).
f**3 + 3*f**2
Expand (-1 + 1 - 7*q)*(-9 - 6*q + 9) - 1 + q**2 + 0*q**2 - 2*q + 3.
43*q**2 - 2*q + 2
Expand (-191 + 191 - 25*t)*(2*t**2 + t**2 - 4*t**2).
25*t**3
Expand (4*n**2 - n**2 - n**2)*(0*n + n - 3*n) - 2*n**3 - n**2 + n**2 + n**3 + 2*n**3 - n**3 + (0*n + 0*n + 2*n**2)*(-5 + 4 - 2*n + 5).
-8*n**3 + 8*n**2
Expand -3 + 6 - 4 - 3*n**2 + (-n + 0*n + 0*n)*(-n + 3 - 3).
-2*n**2 - 1
Expand (4*q**3 - q**2 + q**2 + (3*q - 2*q - 3*q)*(-2*q**2 - 10*q**2 + 6*q**2))*(-q**2 + 1 - 1).
-16*q**5
Expand (0 + 3 - 1)*(-2*g + 3 - 3)*(g - g + g).
-4*g**2
Expand 0*b - 2*b + 0*b - 2*b + 0*b + 0*b + (1 - 1 + b)*(4 + 1 - 4) + b - 3*b + b + 3*b + 5*b - b.
3*b
Expand (-7 + 7 - 17*u)*(-3 - 2 + 4).
17*u
Expand ((-o - 4*o + 4*o)*(-o**2 + 2*o**2 + o**2) - 6*o**3 + 2*o**3 + o**3)*(3*o + o - 2*o).
-10*o**4
Expand (-5 + 1 + 6 - i)*(-2 + 8 - 3).
-3*i + 6
Expand 3*i**2 + i**5 - 3*i**2 + (-22 + 22 - 2*i**2)*(0*i + 0*i + 2*i**3) - 3*i**5 + 2*i**5 - 2*i**5.
-6*i**5
Expand -3*t**2 - 2*t**3 + 3*t**2 + (5*t + 5*t - 2*t)*(2*t - 2*t + 2*t**2).
14*t**3
Expand (5*k**2 + k**2 - 5*k**2)*(-2 + 2 - 2*k**2) + (2*k**3 - 4*k**3 - 2*k**3)*(-8 - 3*k + 8).
10*k**4
Expand (21*f + 24*f - 30*f - 3*f**2)*(-f + 3 - 3 + (2 - 2 + 2)*(f - f + 2*f)).
-9*f**3 + 45*f**2
Expand (-4 - v + 4)*(-4 - 5 - 1 + 11).
-v
Expand (11*c - 5*c - 4*c)*(2 + 2 - 1).
6*c
Expand (-4*f**3 - 3 + 1 + 9*f**3)*(2*f**2 + 2*f**2 - f**2).
15*f**5 - 6*f**2
Expand 4*q**4 - 2*q**2 + 2*q**2 - 2*q**3 + 2*q**3 - q**4 + (1 - 1 - 2*q)*(-1 - q**3 + 1) - 1 + q**4 + 1 - q**4 - 3*q**4 + 2*q**4 - q**2 - q**4 + q**2.
3*q**4
Expand (1 - g - g + g)*(8*g**3 + 2*g**4 - 5*g**3 + 3*g**3).
-2*g**5 - 4*g**4 + 6*g**3
Expand (-3*o + 5*o - o)*(-3 - 4*o - 8*o**3 + 3*o + 7*o**3).
-o**4 - o**2 - 3*o
Expand (4 + s - 4)*(-85 + 171 - 14*s + 12*s).
-2*s**2 + 86*s
Expand (-5 + 1 - 2)*(-4*j + 0*j + 6*j) + j - 4*j + 5*j.
-10*j
Expand 4*l - 1 + 1 + (2 + 1 - 1)*(3*l - 2*l + l) + 2*l + 0*l - 5*l + (-1 + 3 - 1)*(-l - 4*l + 6*l).
6*l
Expand ((-2*f**2 + 5*f**2 - f**2)*(4*f - 2*f + 0*f) + 9*f**3 - 5*f**2 + 5*f**2)*(-2 + 4 - 3).
-13*f**3
Expand (22 - 13 - 14)*(3*o**3 - o**3 - o**3) + 3*o - 2*o**3 - 3*o.
-7*o**3
Expand (2*k - 7*k + 2*k)*(1 - 2 + 2)*(-9 + 8*k + 9).
-24*k**2
Expand -2*i**2 + 7*i**2 + 3*i**2 + (3 + 2*i - 3)*(-2*i + 0*i + 4*i) + (-5*i + i + 3*i)*(0*i + 3*i - 4*i) - 2 - 2*i**2 + 2.
11*i**2
Expand (-2*v - 2*v + 3*v)*(0 + 0 + 3*v**2) + 3*v**3 + 0*v**3 - 2*v**3 + (2*v**2 - 3*v**2 - 2*v**2)*(3*v - 3*v - v).
v**3
Expand (6*a - 24*a + 5*a)*(a + 1 - 1).
-13*a**2
Expand 3*p**3 + 2*p**3 - 4*p**3 - 4*p**3 + 4*p**3 + 4*p**3 + (-4 + p**2 + 4)*(-2*p + 2*p - 2*p).
3*p**3
Expand (o + o + o)*(2*o + o - 2 - 4*o).
-3*o**2 - 6*o
Expand (-31 - 2*m + 31)*(3*m + 5*m + 5*m).
-26*m**2
Expand (p - 2*p + 0*p)*(-79*p + 20*p - 19*p).
78*p**2
Expand (n + 2*n**2 - n)*(-19*n**2 + 33*n**2 - 3 - 15*n**2) + 0*n**4 + 0*n**4 - n**4.
-3*n**4 - 6*n**2
Expand a**4 + 0 + 0 + (a + 2*a - 2*a)*(5*a**3 - 4*a**3 - 3*a**3) + a**3 - a**3 - a**4.
-2*a**4
Expand (3*k + 0*k + 0*k)*(-4*k + 7*k**2 + 6*k - 3*k - 2*k**3).
-6*k**4 + 21*k**3 - 3*k**2
Expand (5 + 2 - 3)*(0*q**2 + 0*q**2 - q**2).
-4*q**2
Expand -c**2 + 2*c**2 + c**2 - c**2 - 4 + 4 + (-4*c + 0*c + 3*c)*(-4*c - 138 + 138).
5*c**2
Expand (-4*x + 3*x - x)*(0 + 0 + 2)*(-4 + 1 + 1).
8*x
Expand (0 - d + 0)*(-2*d**2 - 5*d**2 - 4*d**2).
11*d**3
Expand -3*k + 3*k + k + (4 + 2 - 4)*(k - 2*k + 0*k) + (-3*k + k + k)*(-1 + 1 + 1).
-2*k
Expand 0*i**2 + 3*i**2 + 2*i**3 + 2*i**2 - i**3 + 3 - 3 + (5*i + i - 4*i)*(3 - 3 - i**2).
-i**3 + 5*i**2
Expand (0*o + 0*o - o**3)*(36 + o - 36).
-o**4
Expand (-2*w + 2*w + 2*w)*(3*w**3 + w**3 - 2*w**3) + 0*w + 3*w**4 + 0*w + (2 - 2 - 1)*(0*w**3 + w**4 + 0*w**3) + w**2 - 3*w**4 - w**2.
3*w**4
Expand (-7*w + 7*w - 7*w**4)*(-5 - 3 + 0 + 0).
56*w**4
Expand | {
"pile_set_name": "DM Mathematics"
} |
o + 204 = -k*o. What is the tens digit of o?
6
Suppose -333 = d - 3*c, 0 = -4*c - 11 + 3. Let p = 524 - d. What is the units digit of p?
3
What is the hundreds digit of -5 + 442/65 - 1/(-5) - -3136?
1
Let u(s) = s**2 - 3013*s + 29694. What is the hundreds digit of u(0)?
6
Let v(c) = -135*c**2 + c + 1. Let m be v(-1). Suppose -20 = -5*k, 60*k - 59*k - 194 = -n. Let u = n + m. What is the tens digit of u?
5
Let a be (-14)/(-21) - -2*2402/12. Let w = 219 - a. Let n = w + 300. What is the tens digit of n?
1
Let w be (-2 - -5)*(-3560)/(-15). What is the hundreds digit of -6 + w + (1 - 2)?
7
Suppose -3431 = 3*x + 2*g - 9745, 4191 = 2*x + 5*g. Suppose -f - 458 = -x. What is the units digit of f?
0
Let u be -132 + (-4)/(-5)*5. Let b = 68 - 140. Let s = b - u. What is the units digit of s?
6
Let u(s) = -20*s - 55. Let b be u(-3). What is the units digit of b/2*60844/205?
2
Suppose 5*s - 16576 - 3507 = u, -s - 3*u + 4023 = 0. What is the thousands digit of s?
4
Let j be (-12)/(-22) - 297/(-121). Suppose -3*f - j*c + 819 = -393, 5*c - 1614 = -4*f. What is the units digit of f?
6
Suppose 158397 - 99167 = 10*q. What is the tens digit of q?
2
Let n = -15 + 19. Suppose u = n - 5. What is the tens digit of (2 - (u + 1))/((-4)/(-98))?
4
Suppose 3*i + 4*s - 2317 = 0, -1573 = 9*i - 11*i + 3*s. Suppose 5*g - 6*g + i = -5*r, -4*g - 3*r = -3162. What is the units digit of g?
9
Let f(s) = 9*s**2 - 122*s + 4. What is the hundreds digit of f(-6)?
0
Suppose -464097 = -22*q - 51*q + 965170. What is the thousands digit of q?
9
Let c(f) = f**3 + 15*f**2 + 5*f + 18. Let l be c(-15). Let r = 62 + l. Suppose -126 = -r*o - t + 556, -4*t = -8. What is the hundreds digit of o?
1
Suppose -2*a + 27 = -1. Let c be (11 - (1 + 0))/(a/7). Suppose 0*m - 256 = -c*n - 4*m, -m - 105 = -2*n. What is the units digit of n?
2
What is the ten thousands digit of (135/30*(-16)/(-108))/((-4)/(-97098))?
1
Let t(u) = -u**3 + 101*u**2 - 2*u + 111. What is the hundreds digit of t(100)?
9
Let i(r) = 7*r**2 - 3*r - 12. Suppose -x = 9*x + 60. What is the units digit of i(x)?
8
What is the units digit of 35391/2*((-42)/(-54))/(-7)*-6?
7
Suppose 2*y + 2*w + 2 = y, 3*y - 5*w - 38 = 0. Suppose 771 = -y*s + 9*s. Let l = -58 + s. What is the tens digit of l?
9
What is the tens digit of ((-160)/6)/(((-70)/(-5))/(-1092)) - -1?
8
Suppose -52 = -9*m + 56. Let k be 0*((-10)/m + (-2)/(-6)). Suppose k = -7*h + 168 + 112. What is the units digit of h?
0
Let r = 250 + -244. Suppose 0 = r*a - 2793 - 1989. What is the units digit of a?
7
Let k(c) = -c**3 + 23*c**2 + 23*c + 59. Let z be k(24). Suppose 2*f - 4*x - 35 = x, -3*f + 4*x = -z. What is the units digit of f?
5
Suppose -4*k = 2*o + 6, 5*o + 25 + 0 = 0. Let r be (-1 + -7)/(-4)*k. Suppose 53 + 41 = 2*q + 2*g, -82 = -r*q + 4*g. What is the tens digit of q?
4
Suppose -d + 4*q + 227 = 0, -d - 5*q = -351 + 79. What is the units digit of 4/2 + (1 - d)/(-1)?
8
Suppose 9*a - 179477 = 210097. What is the units digit of a?
6
Let r(x) = 8*x**2 + 97*x + 38. What is the thousands digit of r(20)?
5
Suppose -57*c - 1112412 = -99*c. What is the thousands digit of c?
6
Let h(m) = 2088*m + 12077. What is the tens digit of h(20)?
3
Let v be (-1 - -2)/((-15)/45). Let d be (-38 + (-1 - v))*-1. Suppose -3 = -3*y, 5*y + d + 13 = 2*c. What is the units digit of c?
7
Let k = 23659 + -3633. What is the hundreds digit of k?
0
What is the tens digit of ((-541250)/(-15))/5 + 7/21?
1
Suppose -2*v + 4*p - 6 = 8*p, -4*p - 12 = 0. Let k be 239/v - 10/(-30). What is the hundreds digit of 1*k/15*(0 + 24)?
1
Suppose -12*y + 765 = -231. What is the hundreds digit of 172 + 1 - (y - 81)?
1
Suppose 30*m - 18*m = 33272 + 44500. What is the thousands digit of m?
6
Let s = 3389 + 938. What is the tens digit of s?
2
Let x = -25 + 27. Suppose 0*u = 4*p - u - 17, 3*u = -3. Suppose -3*k - 4*v = -4*k + 37, -x*k = -p*v - 94. What is the units digit of k?
7
Suppose 152894 - 11342 = 12*u. What is the hundreds digit of u?
7
Suppose -4*g = -n - 208, -3*g + 92 = 4*n - 83. Suppose 0 = 48*k - g*k + 880. Suppose -7*o = o - k. What is the tens digit of o?
2
Let k(q) = 49*q**3 - 14*q - 25*q - 50*q**3 - 29*q**2 + 19. What is the hundreds digit of k(-28)?
3
Suppose -496*t + 170*t + 10050580 = 0. What is the ten thousands digit of t?
3
Let z be -10 + 2/(-15) + (-128)/(-60). Let f = 17 - 9. What is the units digit of (-54)/((18/f)/(12/z))?
6
Suppose -4*n + 922 = -1450. Suppose 9*b - n = 4015. What is the hundreds digit of b?
5
Let c(q) = q**2 - 4*q + 19. Let p be c(6). Suppose -6739 = -p*x + 8*x. What is the units digit of x?
3
Let u = -49411 - -105823. What is the thousands digit of u?
6
Let h(a) = -2*a - 3*a - 114 + 113 + 3*a. Let d be h(4). What is the tens digit of (-225)/(-2) + (1 - d/(-6))?
1
Let o(x) = 44*x + 235. Let g be o(-5). Suppose -1888 = -g*v + 18527. What is the tens digit of v?
6
Let u(b) = -88*b - 133. Let o(k) = 173*k + 266. Let s(r) = 6*o(r) + 13*u(r). What is the tens digit of s(-6)?
0
Suppose -63*j + 61*j + 4*d = -4, 28 = 4*j + 2*d. Suppose j*v - 12030 - 774 = 0. What is the units digit of v?
4
Let g = 3197 + -4562. What is the units digit of 8*(-3)/(-60) - g/25?
5
Let b(p) = -16*p - 504. Let a be b(0). What is the units digit of ((-40)/(-24))/(2/a*-1)?
0
Suppose -g + 2*x - 2 = 0, 0 + 1 = g + x. Suppose g = 4*f + m - 78, 5*f - 2*m - 97 = 7. What is the hundreds digit of 10/f + 570/4?
1
Let g(t) = t**2 + 2*t - 4. Let p = -90 - -95. Let u be g(p). Suppose 19 = q - u. What is the units digit of q?
0
Let v(r) = -13*r**3 + 15*r**2 + 45*r - 63. What is the units digit of v(-11)?
0
Let q(w) = -36*w + 142. Suppose 4*s + 20 = -3*r - 35, 73 = -4*s + 3*r. What is the hundreds digit of q(s)?
7
Let h(b) = 28*b + 28. Suppose 2*r + 0*a = -5*a + 190, -2*a = 0. Let c = r - 91. What is the hundreds digit of h(c)?
1
Let w(o) = 26*o. Let l(q) = 11 + q - 2 - 4 - 6. Let r(h) = 10*l(h) - w(h). What is the tens digit of r(-5)?
7
Let t(u) = -u**3 - 8*u**2 - 14*u - 12. Let b be t(-6). Suppose -335 = -2*h - c, 667 = -b*h + 4*h + 5*c. Suppose -f - 5*f = -h. What is the units digit of f?
8
Suppose -2*d = q - 13423, -6709 = -d + 20*q - 21*q. What is the units digit of d?
4
Let y = 48689 - 20126. What is the tens digit of y?
6
Let w(c) = -c**3 + 13*c**2 + 17*c - 16. Let l be w(14). Suppose 28*t - l*t = 6. Suppose 0 = 5*i + t*q - 835, 0 = -0*q + q. What is the hundreds digit of i?
1
Suppose -10*q - 5 = -9*q, -f + 7*q + 27300 = 0. What is the thousands digit of f?
7
Suppose -6*q = 8680 + 12110. What is the hundreds digit of q/(-6) + 12/(-8)?
5
What is the units digit of (78296/(-32))/(11/(-44))?
7
Let k = -182 - -189. Suppose 0 = k*w - 1330 - 182. What is the units digit of w?
6
Let h(q) = 4*q + 12. Let l = -374 - -389. What is the tens digit of h(l)?
7
Suppose f + 4*x - 40 = -3*f, -30 = -5*f + 5*x. What is the tens digit of f/52 - (-1098)/13*4?
3
Suppose -p - 3*g + 1268 = 0, -2*p - 2*p + 3*g + 5057 = 0. Suppose 7*r - 3866 = p. What is the tens digit of r?
3
What is the ten thousands digit of 134/(-268) + (-423945)/(-6)*(-3)/(-9)?
2
What is the hundreds digit of (697/51 - 14)/((-2)/91272)?
2
Let o(v) be the second derivative of -2*v**4/3 + 161*v**3/6 + 12*v**2 + 235*v. What is the tens digit of o(16)?
5
Let d = 7242 - 1541. What is the tens digit of d?
0
Let h = -1581 - -9062. What is the tens digit of h?
8
Let s = 515 - 465. Suppose 0 = s*l + 8837 - 59587. What is the thousands digit of l?
1
Suppose 65*r - 14 = 58*r. What is the units digit of (-98 - (0 - 0))*(-15)/r?
5
Let c(d) = 593*d - 2*d**2 - 110 + d**3 + 595*d + 0*d**3 - 1157*d. What is the tens digit of c(9)?
3
Let g be (-2)/((-19)/(-9) - (-13)/(-117)). Let l be 14/2 + g + 100/(-25). Suppose -2 = 5*s - l*q - 412, 3*s = -2*q + 262. What is the units digit of s?
4
Let g = 30 + -40. Let v = g + 248. What is the tens digit of v?
3
What is the tens digit of 2 + 7339 + 2 - 21*(-16)/(-56)?
3
Let q(z) = -z**3 + 4*z**2 + 6*z - 5. Let w be q(5). Suppose w = -i - 27 + 11. Let y(r) = r + 38. What is the tens digit of y(i)?
2
Suppose -2*v = 4*h - 20, -v - h + 2*h = 2. Suppose 0*g - 5*f + 200 = g, -335 = -v*g + 3*f. What is the units digit of g?
5
Let s(m) = -m**3 - 4*m**2 + 2*m - 12. Let z be s(-5). Let l(x) = -177*x**3 - 5 - 7*x**2 + 88*x**3 + 7*x + 91*x**z - 4. What is the tens digit | {
"pile_set_name": "DM Mathematics"
} |
(u*u/u**2*u)**(-5/12) assuming u is positive.
u**(-111/260)
Simplify (x**(-15)*x/(x*x*x**(-3/5)))/(x**(4/9)/x**(-2/49)) assuming x is positive.
x**(-35027/2205)
Simplify (a**(3/2)/(a*a**(-14/5)*a))/(a*a**5/a)**(-27) assuming a is positive.
a**(1373/10)
Simplify ((m**(-35)/m)**42)**(2/43) assuming m is positive.
m**(-3024/43)
Simplify (t**(-1/4))**(-11)*(t**8*t)/(t**(4/9)/t) assuming t is positive.
t**(443/36)
Simplify (((v/(v*v**(-1/2))*v)**(11/8))**(-13))**43 assuming v is positive.
v**(-18447/16)
Simplify (t**(-11))**(-3/10)*(t**(8/9))**(-39) assuming t is positive.
t**(-941/30)
Simplify ((f/(f*f**(-3)))/f**14)/(f*((f/(f*f**(-2/35)))/f)/f*f**29) assuming f is positive.
f**(-1367/35)
Simplify m**5*m*m*m**(15/4)*(m*m*m**(-5))**(-33) assuming m is positive.
m**(439/4)
Simplify ((k*k**(-3/4)*k*k/(k/(k**(-3)*k))*k)**14)**(-12) assuming k is positive.
k**(-42)
Simplify (j**(1/5))**(-2/49)*(j**(-4))**45 assuming j is positive.
j**(-44102/245)
Simplify z*z*z**(-1/8)*z**0*(z/z**2)**(-9/8) assuming z is positive.
z**3
Simplify (y**(1/5)*y**4)/((y*y**(-4/5))/y*y**2) assuming y is positive.
y**3
Simplify (((h*(h/h**2)/h)/(h**(-4)*h))**9)**(-13/3) assuming h is positive.
h**(-78)
Simplify ((z**(-2/15)*z)/z)**(-4/27)/(z/(z*z/(z*z/z**3*z*z)))**(-3/44) assuming z is positive.
z**(8/405)
Simplify ((g**(-1/16)*g/g**(-2/11))/(g/(g**5*g*g)*g/(g**(1/5)/g)))**(-13) assuming g is positive.
g**(-60853/880)
Simplify (w*w**(2/9))**(12/13)/(w/(w**8/w)*w**(2/11)/w*w*w*w*w) assuming w is positive.
w**(1693/429)
Simplify (((i/(i/(i*i/(i*i*i**1)*i)*i)*i)**(-12))**(3/17))**16 assuming i is positive.
1
Simplify (s**4*s**0*s*s/(s/((s**(-2/7)/s)/s))*s**1)**(-33) assuming s is positive.
s**(-858/7)
Simplify ((n*n**(-4)*n**5)**(-13))**(-31) assuming n is positive.
n**806
Simplify l**(-6)/(l*l*l**(-10))*((l/(l/(l*l/(l/(l**4*l)*l)*l)))/l)**(-16) assuming l is positive.
l**(-78)
Simplify (((q/(q/(q*q**(-1/7))*q))**(-14))**(-6/11))**34 assuming q is positive.
q**(-408/11)
Simplify (r**24/(r**(-4/3)/r*r*r))/((r**(-7/5)/r)/r*r*r*r**21*r) assuming r is positive.
r**(56/15)
Simplify (g**(1/4)*g*g**16/g)/(g*g**(1/28)*g*(g**(-3)/g)/g) assuming g is positive.
g**(269/14)
Simplify (((q**(7/4)/q)/q)/(q/(q/(q/q**11*q))))/((q/(q*(q**6*q)/q))/(q*q**(-1/3)*q)) assuming q is positive.
q**(197/12)
Simplify (x**3*x)**(-3/5)*x**11/(x**9/x*x) assuming x is positive.
x**(-2/5)
Simplify w**(-1/5)/w**14*w**0*(w*w/(w*w**(-19)))/w assuming w is positive.
w**(24/5)
Simplify (d**(5/6))**(-4/11)*(d/d**(-19))**19 assuming d is positive.
d**(12530/33)
Simplify ((g**(3/4)*g**(1/5)*g)/(g*g/g**0*(g**8*g)/g*g*g))**(-4) assuming g is positive.
g**(201/5)
Simplify z**33/z**27*z/(z**(-12)/z)*(z/(z**(2/115)*z)*z)/z assuming z is positive.
z**(2298/115)
Simplify (o**(-1)*o/(((o/(o*o/(o/o**(2/11)*o)*o))/o)/o)*(o**(-2/7))**42)**(1/68) assuming o is positive.
o**(-27/187)
Simplify t**22*(t/(t/((t**(-5/12)/t)/t))*t*t)/t*(t*t/((t/((t/(t/((t**(1/21)*t)/t)*t))/t))/t))**(-2/79) assuming t is positive.
t**(136583/6636)
Simplify ((g/g**(-4)*g)/g**(4/3))/(((g**(-1)/g)/g*g)/(g*g**(-3)*g)) assuming g is positive.
g**(17/3)
Simplify b**17*b/(b*b*b**3*b)*b*((b/(b*(b/(b/b**11)*b)/b))/b)**(-9) assuming b is positive.
b**121
Simplify (n**(-2/59)*n**(-2))**(-1/21) assuming n is positive.
n**(40/413)
Simplify (c**(3/13)/c**(-3))/(((c*c/c**(-1/14))/c)/c**(-4/9)) assuming c is positive.
c**(2809/1638)
Simplify g**16/g**(2/5)*(g**(1/8))**(3/10) assuming g is positive.
g**(1251/80)
Simplify (q*q**(-4/15)/q*q*q*q**(2/111))**(2/15) assuming q is positive.
q**(216/925)
Simplify (d**(2/25)/d*d**(6/13))/(d**(-2/49)*d*d**(-1/23)*d) assuming d is positive.
d**(-869598/366275)
Simplify (((j*j**(-8/5)/j)/j)/(j/j**(2/33)))/((j/(j*j**(-14)))/j**(-19)) assuming j is positive.
j**(-6029/165)
Simplify ((g*g**(-6)*g*g*g**(-6)/g)/(g**(-2))**(-16))**(-43) assuming g is positive.
g**1806
Simplify (i**25*i**(-19))/((i*i**(3/10))/(i/(i/i**(-2/15)*i)*i)) assuming i is positive.
i**(137/30)
Simplify (((((z*z**(2/107)/z)/z)/z*z*z)/z)/(z/(z/(z/(z*z**(-5/9)))*z)))/(z**(-34)*z**(-37)) assuming z is positive.
z**(67856/963)
Simplify c**(6/13)*c*c/c**(-2/25)*c*(c*c**(3/4)*c*c)**24 assuming c is positive.
c**(30401/325)
Simplify (((d**(-4)*d)/(d*d*d**(-4/3)*d))/((d*d**2*d)/d)**(5/2))**(-10/3) assuming d is positive.
d**(365/9)
Simplify r/r**(-3/8)*r*r*r/((r**(3/5)/r)/r)*r**(-3)*r*(r*r**(2/31)*r*r)/r assuming r is positive.
r**(7241/1240)
Simplify (((x**(-2/23))**(2/13))**(-1/25))**(-2/59) assuming x is positive.
x**(-8/441025)
Simplify (o**(-2/17)/(o*o**(-3)))/((o*o**(-2/5))/o)**19 assuming o is positive.
o**(806/85)
Simplify (l/((l**(-1/8)/l)/l))**(-17)*(l*l**17*l)/(l/(l/l**(2/9))) assuming l is positive.
l**(-2473/72)
Simplify (f*f/(f/(f**(-5/3)/f))*f*f/(f*f**18)*f)/(f**(-12)*f)**(44/7) assuming f is positive.
f**(1081/21)
Simplify (((x/(x/(x/(x*x/(x/(x*x**9*x))))))/(x/x**10))**(-2/101))**28 assuming x is positive.
x**(112/101)
Simplify ((k/k**(-18))/(k/k**11))/((k/(k*k/(k**(-14)*k)*k))/k**(-13)) assuming k is positive.
k**31
Simplify ((f**(-9)*f*f**(-7))/((f*f**(-2/9))/f**(-1)))**3 assuming f is positive.
f**(-151/3)
Simplify (m**4)**(-8/7)*(m*m**(-3/7))/m**(-1/22) assuming m is positive.
m**(-87/22)
Simplify ((m/m**(10/9))/m**(-1/18))**(-6/17) assuming m is positive.
m**(1/51)
Simplify ((((d/d**2)/d)/d**(1/26))**(5/7))**(1/11) assuming d is positive.
d**(-265/2002)
Simplify (n*n**9)**(2/45)*n**(-2/19)*n**(1/8) assuming n is positive.
n**(635/1368)
Simplify ((u*u*u*u**(1/9)/u*u*u*u*u/u**(-18/11)*u)**(1/70))**46 assuming u is positive.
u**(19918/3465)
Simplify ((z**(-16)/z*z)**(-5))**36 assuming z is positive.
z**2880
Simplify ((m**(1/18)/m)**(-16))**(-8/3) assuming m is positive.
m**(-1088/27)
Simplify p**(-3/8)*(p*p*p**(-1/7)/p)/p*p**(-21)*p**14 assuming p is positive.
p**(-421/56)
Simplify ((h/((h/h**(3/7))/h))**16)**(-47) assuming h is positive.
h**(-7520/7)
Simplify (r/(r/(r**(1/13)*r)*r))**(-35)*(r**3*r)**14 assuming r is positive.
r**(693/13)
Simplify ((x*x**(-11/5))/x*x*x**(7/12))**(-2/29) assuming x is positive.
x**(37/870)
Simplify i*i**(-9)/i*i**(-4)/i*(i/((i*i**(-12))/i*i))/i**(6/11) assuming i is positive.
i**(-28/11)
Simplify (a**(-1/12))**(2/87)/((a**(-2/27)*a)/a*(a**10/a)/a) assuming a is positive.
a**(-12415/1566)
Simplify (n**(2/7))**30*((n*n**(12/13))/n)/(n**(-16/3)*n) assuming n is positive.
n**(3775/273)
Simplify (((k**(-2))**(-11/2))**(-3/28))**13 assuming k is positive.
k**(-429/28)
Simplify m/(m**(-2/5)*m)*m**8*(m**(2/29)/m)**46 assuming m is positive.
m**(-4992/145)
Simplify ((y/y**(-24))/y)/(y/y**(-12))*(y*y*y*(y**(-16/5)/y*y)/y)**(-2/33) assuming y is positive.
y**(609/55)
Simplify ((w**(2/9)/w**(3/4))/(w*(w**1*w)/w)**(8/3))**(-3/11) assuming w is positive.
w**(211/132)
Simplify ((l*l*(((l*l**(-2/5)*l)/l)/l)/l*l)**(1/67)*(l**(-1)*l)**16)**(-7) assuming l is positive.
l**(-56/335)
Simplify n**14/n**(-4/13)*n**(-3/2)*n**(2/13)/n*n*n assuming n is positive.
n**(363/26)
Simplify ((v/((v**0*v)/v))**(2/11)*(v*v/v**3)/((((v**(2/5)*v)/v)/v*v)/v))**(1/5) assuming v is positive.
v**(-12/275)
Simplify (t**(1/8)/(t*t**(-2/3))*t**(-8)/t*((t/(t/(t**(8/3)/t*t)))/t)/t)**(10/11) assuming t is positive.
t**(-1025/132)
Simplify (i**(-29)/i**(7/4))/((i**(2/63)/i)/(i/i**(1/8)*i)) assuming i is positive.
i**(-14065/504)
Simplify (f*f*f/f**(-1/10))**(-8/5)*(f/(f/(f**(-27)*f)*f))/(f/((f/(f*f*f*(f*f**16*f*f)/f))/f)*f) assuming f is positive.
f**(-1374/25)
Simplify (r**(-22)/(r*(r*r**(-12))/r))/(r**(-15/4)/(((r*r*r*r/r**(3/11)*r)/r)/r*r)) assuming r is positive.
r**(-155/44)
Simplify (m**(-3))**(7/2)/(m**9*m*m*m**(-11)) assuming m is positive.
m**(-21/2)
Simplify (((d*d**6/d*d*d*d)/((d/(d*d/d**(-1/4))*d*d)/d))/((d*d**4)/d**4))**(4/7) assuming d is positive.
d**(33/7)
Simplify (o*o*o*o*o**(-15)*o*o*(o/(o*o*o**(-1/2)/o))/o)**(-34) assuming o is positive.
o**323
Simplify (((j**(3/4)/j)**(-35))**13)**(-19) assuming j is positive.
j**(-8645/4)
Simplify ((d**1)**(-1/73)*(d**(-1))**3)**(-47) assuming d is positive.
d**(10340/73)
Simplify ((w**(-4/7)/w)/w**(-3/5))/((w**0/w*w)/w*w**(-17)) assuming w is positive.
w**(596/35)
Simplify (y*y**(4/13)*y*y*y**(-20))**17 assuming y is positive.
y**(-3689/13)
Simplify ((f/(f**6*f))/(f/(f*f*f*(f**3*f)/f*f)*f)*(f/f**(-2))**(-8))**( | {
"pile_set_name": "DM Mathematics"
} |
p. Calculate -2*c(k) - 3*w(k).
k**2 - k + 1
Let i(t) = -4*t**3 + 6*t**2 + 7*t + 7. Let b(d) = 2*d**2 + 44*d - 903. Let g be b(13). Let q(z) = 3*z**3 - 4*z**2 - 5*z - 5. Give g*q(m) + 5*i(m).
m**3 + 2*m**2
Let u(z) = -50*z**2 + 24*z - 14. Let y(n) = 100*n**2 - 48*n + 26. Give 11*u(m) + 6*y(m).
50*m**2 - 24*m + 2
Let n(z) = 24*z**3 - z**2 - 21*z + 249. Let t(c) = -35*c**3 + 2*c**2 + 29*c - 373. Give 7*n(y) + 5*t(y).
-7*y**3 + 3*y**2 - 2*y - 122
Let u(z) = -3*z + 1. Let l(j) be the first derivative of -2*j**2 + j + 624. Give -5*l(a) + 6*u(a).
2*a + 1
Let t(k) = -5*k - 5. Let a(x) be the second derivative of x**2/2 - 931*x. What is 5*a(m) + t(m)?
-5*m
Let o(k) = -3*k**3 + k**2 - k - 1. Suppose -5*v - 16*n + 14*n = -23, 0 = 2*v - n - 11. Let u(q) = q**3 - q**2 + q + 1. Calculate v*o(g) + 5*u(g).
-10*g**3
Let c(f) = -18346*f. Let t(q) = -753983948*q. Determine 82197*c(n) - 2*t(n).
-18266*n
Suppose 6*l - 289 = -37. Let i be (23/7 - 30/105) + l. Let w(z) = i*z - 16*z - 17*z - 11*z. Let g(p) = 1. Determine 3*g(r) + 2*w(r).
2*r + 3
Suppose 141*w - 9685 = 6812. Let u(j) = -61*j + 4. Let m(q) = 1768*q - 117. Give w*u(g) + 4*m(g).
-65*g
Let t(n) = n - 1. Let z(j) = 79*j**2 - 24*j - 3. Let k(l) = -12*l**2 + 3*l + 1. Let w(q) = -6*k(q) - z(q). What is -3*t(r) + w(r)?
-7*r**2 + 3*r
Suppose 610*i - 617*i = 0. Suppose v + 8 = -2*t, -3*v - 2*v - t - 13 = i. Let r(x) = 32*x**2 + 9*x + 9. Let u(h) = -8*h**2 - 2*h - 2. Give v*r(a) - 9*u(a).
8*a**2
Suppose 0 = -5*v + 3*a + 23, 287*v + 2*a - 6 = 285*v. Let t(l) = -3*l**3 + 4*l**2 - 9*l. Let c(u) = -u**2. Give v*c(f) + t(f).
-3*f**3 - 9*f
Suppose -2*j + 4 = 0, -10 = c + 3*c - j. Let f(g) = -4*g**3 + 3*g**2 - 5*g + 15. Let o(u) = -2*u**3 + u**2 - 2*u + 7. Determine c*f(r) + 5*o(r).
-2*r**3 - r**2 + 5
Let u(w) = w + 1. Let i(k) = 22. Let c(m) = 5*m - 131. Let a(t) = c(t) + 6*i(t). Let l(f) = f**3 + 7*f**2 + 6*f + 4. Let j be l(-6). Calculate j*u(n) - a(n).
-n + 3
Let s(b) = 265*b + 53. Let h(c) = 354*c + 72. What is 8*h(j) - 11*s(j)?
-83*j - 7
Let g(t) = 10. Let c(y) = y + 1803. Determine -c(r) + 6*g(r).
-r - 1743
Suppose 0 = -3554*s + 3686*s - 2640. Let o(u) = u**3 - u**2 + u - 1. Let h(n) = -10*n**3 + 5*n**2 - 5*n + 5. What is s*o(j) + 4*h(j)?
-20*j**3
Let s(d) = -397*d**3 + d**2 + 45*d - 9. Let a(r) = 199*r**3 - 27*r + 5. Give -5*a(c) - 3*s(c).
196*c**3 - 3*c**2 + 2
Let d(i) be the third derivative of i**6/120 - i**5/60 - i**3/6 - 68*i**2. Let g(l) = -11*l**3 + 4*l**2 + 4. Let m = -36 - -37. Determine m*g(j) + 4*d(j).
-7*j**3
Let h(j) = -3*j**2 - 48*j + 84. Let n(k) = 5*k**2 + 42*k - 84. Give 7*h(s) + 8*n(s).
19*s**2 - 84
Let v(h) = 8*h**2 - 4*h - 5. Suppose 3*q + 12 = 5*q, -2*j + 5*q = 12. Suppose 0 = 4*d + 2 + 6. Let w(t) = 2*t**2 - t - 1. What is d*v(n) + j*w(n)?
2*n**2 - n + 1
Let j(h) = 12*h**3 + 2*h**2 - 3*h + 3. Let i(s) = s**2 - s**2 - s**2 - 1 + 1244*s - 623*s - 620*s. Determine -3*i(g) - j(g).
-12*g**3 + g**2
Let r(a) = -12*a. Suppose 0 = 2*c - 0 - 12. Let s(y) = 4*y. Suppose 148*n + 24*n + 25*n - 3349 = 0. What is c*r(o) + n*s(o)?
-4*o
Suppose 6*z - 80 = -50. Suppose -3*x = z*w - 6*w + 7, -3*x = -4*w + 10. Let i(a) = a - 7. Let t(c) = -2*c + 8. What is x*t(o) - 3*i(o)?
o + 5
Let x(f) = -5*f**3. Let l(u) be the first derivative of u**4/4 + 1090. Determine 21*l(n) + 3*x(n).
6*n**3
Let y(c) = -17*c**2 - 3*c + 14439 - 7218 - 7221. Let w(x) = -273*x**2 - 49*x. Calculate -3*w(i) + 49*y(i).
-14*i**2
Let j(x) = -3*x**2 + 3*x - 1. Let a(n) = 112*n**2 - 24*n + 16. Calculate -a(l) - 16*j(l).
-64*l**2 - 24*l
Suppose 10 = -2*i + 2*h, i = -i - 3*h + 5. Let p(j) = -30 + j + 3*j**2 + j**2 + 35. Let o = 7 + -4. Let f(k) = 3*k**2 + 4. Calculate i*p(y) + o*f(y).
y**2 - 2*y + 2
Suppose -2*v - 32 = 4*b - 4, 16 = -4*b + v. Let i(f) = -19*f. Let p(u) = -4*u - 11*u + 2*u. Give b*i(j) + 8*p(j).
-9*j
Let h(l) = 1. Let a(d) be the second derivative of -3*d**3/2 + d**2 - 2279*d. Calculate 3*a(x) - 6*h(x).
-27*x
Let r(i) = 5*i**3 + 1. Let z(c) = 36*c**3 - 9*c**2 + 2*c + 6. Determine 4*r(f) - z(f).
-16*f**3 + 9*f**2 - 2*f - 2
Let w(u) = 6*u**2 - u + 1322. Let q(h) = -14*h**2 + 2*h - 2648. Give 4*q(p) + 9*w(p).
-2*p**2 - p + 1306
Let t(m) = 12*m**2 + 36*m + 31. Let k(p) = 3*p**2 + 9*p + 7. Let o(u) = 9*k(u) - 2*t(u). Let f(l) = 5*l**2 + 13*l + 2. Give -5*f(q) + 8*o(q).
-q**2 + 7*q - 2
Let k(c) = 1. Let f(m) = 6*m + 10. Let q(n) = 24*n + 448 - 776 + n**2 + 437. Let d be q(-6). What is d*f(p) - 8*k(p)?
6*p + 2
Let w(h) be the third derivative of h**4/12 - h**3/3 - 4*h**2 + 12. Let d(b) = -1. Give 4*d(q) + w(q).
2*q - 6
Let o be (-2)/3 - (-88)/(-66). Let m = 13 + -12. Let n(v) be the third derivative of v**5/60 - v**3/2 - 15*v**2. Let r(w) = w**2. Calculate m*n(g) + o*r(g).
-g**2 - 3
Let f(b) = -9*b**2 + 7*b + 3. Suppose -12 = -4*v - 4*h, v + 4*h - 6 + 0 = 0. Let y be v + (-2)/(-6)*9. Let j(u) = -4*u**2 + 3*u + 1. Give y*j(n) - 2*f(n).
-2*n**2 + n - 1
Let t = 8 + -7. Suppose -230 = -33*m + 28*m. Suppose 0 = -2*b - m + 58. Let o(j) = j + 1. Let c(n) = -9*n - 8. What is b*o(v) + t*c(v)?
-3*v - 2
Let c(p) = 4*p**3 - 5*p**2 - p - 2. Let n = 3174 - 3169. Let a(m) = 2*m**3 - 3*m**2 - m - 1. What is n*a(h) - 3*c(h)?
-2*h**3 - 2*h + 1
Let i be 1/((-11)/(55/10))*-14. Let q(d) = -2*d**2 + 4*d - 1. Let a(l) be the second derivative of l**4/3 - 3*l**3/2 + 3*l**2/2 - 34*l. Give i*q(n) + 3*a(n).
-2*n**2 + n + 2
Let w(l) = -l**2 + l + 1. Let s(j) = 3*j**2 - 6*j - 4. Let y(k) = -244*k + 1225. Let v be y(5). Calculate v*w(h) + s(h).
-2*h**2 - h + 1
Let s(v) = -v**2 - 44*v - 486. Let h be s(-22). Let u(d) = -7*d**2 + 3*d - 3. Let z(m) = 15*m**2 - 7*m + 7. Determine h*z(n) - 5*u(n).
5*n**2 - n + 1
Let z(m) = 65*m**2 + 35*m + 35. Let v(g) = g + 6 + 5*g - 365*g**2 + 376*g**2. Suppose 0 = w - 4*w + 105. Give w*v(s) - 6*z(s).
-5*s**2
Let h be (-2 + (-3)/(-6))*24/(-36). Let a(m) = -3*m**3 + 7*m**2 + 10*m + 4. Let t(z) = -z**3 + z**2 + z + 1. What is h*a(g) - 4*t(g)?
g**3 + 3*g**2 + 6*g
Let n = 16861 - 16806. Let t(p) = 15*p**2. Let u(i) = -i**2. Let g(a) = -5*t(a) - 30*u(a). Let d(h) = -5*h**2. Determine n*d(o) - 6*g(o).
-5*o**2
Let s(w) = 5*w**3 + 6*w + 14. Let d(g) be the first derivative of 0*g**3 - 3/4*g**4 + 58 - 2*g**2 - 9*g. Determine 8*d(j) + 5*s(j).
j**3 - 2*j - 2
Let o(v) = 2*v. Let b(c) = -71 + 148 + c - 77. Let y(u) = -4*b(u) + o(u). Let z(q) = q. Let p be (-26)/10 - 4/10. Determine p*y(t) - 7*z(t).
-t
Let t(r) = -7*r - 1. Let v(l) = l. Suppose -9*o - 10 = -4*o. Let k be o/(-4) - (-81)/6. Suppose 3*u + 0*p + 12 = 5*p, 5*u + 3*p = k. Determine u*t(s) + 5*v(s).
-2*s - 1
Let v(f) = 2*f**3 + 9*f**2 - 10*f + 4. Let z(j) = -10*j**2 + 14*j - 6. What is 4*v(r) + 3*z(r)?
8*r**3 + 6*r**2 + 2*r - 2
Let x(a) = -4*a - 3. Let o(q) = 155*q + 8. Calculate -o(l) - 3*x(l).
-143*l + 1
Let s(h) = 26295974*h**2 + 23902*h + 11951. Let l(w) = -4401*w**2 - 4*w - 2. What is 11951*l(p) + 2*s(p)?
-4403*p**2
Let u(o) = -2*o**3 + 11*o**2 + 2*o + 4. Let f(y) = y**2 + y + 1. Suppose -67*p + 12 = 79. Determine p*u(b) + 2*f(b).
2*b**3 - 9*b**2 - 2
Let v(f) = -3039*f - 4. Let o(c) = 3042*c + 3. Calculate 4*o(u) + 3*v(u).
3051*u
Let j(z) = 58*z - 12. Let p(s) = -1216*s + 256. Calculate 64*j(v) + 3*p(v).
64*v
Let m(i) = -13*i**2 + 6*i - 168. Let p(x) = 15*x**2 - 7*x + 168. Give -6*m(b) - 5*p(b).
3*b**2 - b + 168
Let c(s) = -5*s + 8660. Let p(d) = d - 1441. Calculate 6*c(o) + 34*p(o).
4*o + 2966
Let n(k) = -2485*k**3 - 6*k**2 + 3*k - 6. Let m(a) = -1471120*a**3 - 3550*a**2 + 1775*a - 3550. Give -3*m(l) + 1775*n(l).
2485*l**3
Let b(d) = 286*d**2 - 68*d - 42. Let c(i) = -i**2 - 5*i - 3. Determine b(w) - 14*c(w).
300*w**2 + 2*w
Let a(u) = 2*u**3 - u**2 - u - 3. Let v(m) = -m**2 - 1. Let n(l) = -2*l**2 - 8*l - 3. Let h = 469 + -472. Let i be n(h). Give i*v(q) - a(q).
-2*q**3 - 2*q**2 + q
Let k(z) = 10*z - 4 + 0 - 8*z. Let c(w) be the first derivative of -3*w**2 + 11*w - 7. Let d = 0 - 8. Calculate d*k(x) - 3*c(x).
2*x - 1
Let r(d) = -3*d**3 + 322*d - 2. Let x(y) = 16*y**3 - y**2 - 1617*y + 10. Determine 11*r(s) + 2*x(s).
-s**3 - 2*s**2 + 308*s - 2
Let q(p) = 2*p**3 + 5*p**3 + 4 - p**2 + p**3 - 8. Let t(k) = -k**3 + 1. Suppose -13 = 4*i - 25. Suppose 0 = f - x - 4, 0 = -i*f - x. What is f*q(y) + 4*t(y)?
4*y**3 - y**2
Let d(k) be the first derivative of 2*k**2 - k + 16. Let w(x) be the th | {
"pile_set_name": "DM Mathematics"
} |
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-104862
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-8336
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17896
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180256
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-15125
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20107465
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3586960
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-2730458
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2934479
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1052785
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81026
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497156
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39941
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4939
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-19740
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-1532281
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-3631136
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-9452
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-326189
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5896752
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52807156
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-627949610
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249170
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911666
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-36198
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-121882
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2330767
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-374870823
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28198
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735707
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-982670
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224003
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1466
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2528415
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-35991
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1668959
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88131
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9293
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13735857
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-2478951430
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13026735
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7923243
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-719478
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4719454
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1078971
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2205091
What is | {
"pile_set_name": "DM Mathematics"
} |
ding order.
-6/7, w, -5
Let w be (11/(-3) - -4) + 8/(-6). Sort -3, 14, w in ascending order.
-3, w, 14
Let l = -0.1 + -1.9. Let i = 7 - 4. Sort -0.3, i, l in increasing order.
l, -0.3, i
Let x be 7 - 0 - (-2 - -1). Suppose 3*p = p + x. Sort p, -5, 2 in decreasing order.
p, 2, -5
Suppose 15 = -6*b - 21. Sort -3, 1, b, 0.5 in decreasing order.
1, 0.5, -3, b
Suppose -14 = z - 4*q, 0*q = -4*z - 4*q + 24. Suppose 2 + 2 = -4*b. Sort 4, b, z in decreasing order.
4, z, b
Let c be (-5)/(-5)*(1 - 8). Let f = c + 4. Let t = 2 + -3. Sort f, 0, t in descending order.
0, t, f
Let o(h) = -8*h. Let n be o(-2). Suppose 3*t + 4*r = n, r - 4 = -t - 0*t. Suppose 2*u = 3 - 13. Put u, t, 2 in ascending order.
u, t, 2
Suppose l + l = 0. Let a be (-2 + l)*2/4. Let n(c) = c**2 + 7*c + 5. Let b be n(-5). Sort a, 4, b.
b, a, 4
Let f = -5.1 - -5. Let q be (3/21)/(2/4). Put q, f, -2/19 in descending order.
q, f, -2/19
Let c = 0.1 - -0.1. Let z = -1.29 + -1.67. Let o = 0.04 - z. Put -2/17, o, c in decreasing order.
o, c, -2/17
Let a be 6 + -3 + (3 - 2). Suppose 11 = 5*m - a*n, -5*n + 2 = -4*m + 3*m. Suppose 2*b = -2*y - 12, m*b - b + 8 = 0. Sort y, 1, 5 in descending order.
5, 1, y
Let c = -9 - -8.89. Let p = c + 4.11. Let i = 0 + 0.1. Put i, -3, p in decreasing order.
p, i, -3
Let i(t) = -3*t - 2. Let c = -11 + 9. Let b be i(c). Let j(x) = -x + 5. Let f be j(b). Sort 0, f, 2.
0, f, 2
Suppose -3*x = -2*q + 1, 5*x = 2*q + 1 - 0. Suppose 0 = -q*g + 2 - 6. Put 5, 0.1, g in decreasing order.
5, 0.1, g
Let v(r) = 5*r**3 + 3*r**2 - 4*r**3 - 1 + 0. Let p be v(-1). Let u = 7 - 11. Sort u, -1, p in ascending order.
u, -1, p
Let j = 1.96 + 0.04. Let d be ((-5)/35)/(24/(-14)). Let n = d + 1/6. Sort n, 3, j.
n, j, 3
Let j be 2/((-44)/26) + 1. Let m(i) = -i**3 - 4*i**2 - 2*i - 5. Let d be m(-4). Suppose -c + 4 = d. Sort 1/2, c, j.
j, 1/2, c
Let v = -19 - -24. Sort -0.7, -3, -2/13, v in increasing order.
-3, -0.7, -2/13, v
Let o be -7 - (-5 + 4 - 5). Put -16, 2, o, 4 in decreasing order.
4, 2, o, -16
Suppose -30 = -5*o - 5*s, o - 4*s = -7*s + 10. Let w = 5 - o. Let d = w - 3. Sort -1, d, 0 in decreasing order.
0, -1, d
Let d = -203.6 + 182. Let i = d + 19. Let b = 0.4 - i. Sort b, 0.4, 2 in decreasing order.
b, 2, 0.4
Let n = 11 - 10.5. Let r = 0.61 - 0.21. Sort -5, r, n in ascending order.
-5, r, n
Suppose 4*y - 6 = -2, 134 = -g + 2*y. Let z be (-1)/(-3) - (-68)/g. Let d = -13 - -8. Sort -1/7, d, z.
d, z, -1/7
Let w = -1.1 - 2.9. Let b = -76.2 - -76. Sort b, -3, w in decreasing order.
b, -3, w
Let s = 0 + -3. Let j = 3.5 - 4. Put j, s, 0.3 in ascending order.
s, j, 0.3
Let s = -162 + 166. Sort -4, 3, s.
-4, 3, s
Suppose -10 + 6 = -z. Let k(n) = -6*n**2 - n. Let r be k(-1). Sort z, r, -4 in increasing order.
r, -4, z
Let n be ((-14)/35)/((-2)/20). Suppose 0 = -5*v - 5*g + 5 - 0, -4 = -n*v + 3*g. Let i be (2 + (-10)/4)*8. Put v, 4, i in decreasing order.
4, v, i
Suppose -8 = c + c. Put c, -0.1, 3 in increasing order.
c, -0.1, 3
Let m(x) = -x**3 - 11*x**2 + 13*x - 10. Let n be m(-12). Put 1, -5, n in descending order.
1, -5, n
Let r = -19 - -34. Let j be 54/r + 9/(-15). Sort j, 0, -2 in ascending order.
-2, 0, j
Suppose 0*q + 2*q = 0. Suppose 3*f - 2*v = q, -4*v + 3 = -3*f - 3*v. Let s = -1 - -1. Sort 5, s, f.
f, s, 5
Let f = 0.1 + 1.1. Let i = 0.7 - f. Sort 2, -3, i.
-3, i, 2
Let g = -22 - -18. Sort 5, g, -3.
g, -3, 5
Let d = -17 + 22. Sort d, 1/9, -2/11.
-2/11, 1/9, d
Let h(m) = -3*m - 1. Let c be h(1). Let y be (-15)/(-4) - 2/(-8). Suppose j = a + y*j + 6, -4*a = -j + 11. Sort a, 3, c in decreasing order.
3, a, c
Suppose -20*l + 7*l = 13. Put l, 2, -2, -3 in decreasing order.
2, l, -2, -3
Suppose 12 + 4 = 4*y. Put y, 5, -3 in ascending order.
-3, y, 5
Suppose 2*r + 9 = 17. Put r, -0.1, -3.3 in decreasing order.
r, -0.1, -3.3
Let a = 1 - 0.4. Let g = -9.9 - -10. Let d = a - g. Sort d, -3, 0 in decreasing order.
d, 0, -3
Let j = -2 - -5. Let d = 3 - 1. Let i = -2.5 + d. Put i, j, 5 in ascending order.
i, j, 5
Let m = -0.9 - -1. Let k = m + 0.4. Let f = k + 0.5. Sort -2/11, f, 0.5 in increasing order.
-2/11, 0.5, f
Let f = -21 - -18.95. Let z = -0.05 - f. Sort 0.3, z, -1/5 in descending order.
z, 0.3, -1/5
Let n = -239/56 - -29/7. Put 0.1, n, -2 in decreasing order.
0.1, n, -2
Let n(s) = -s**2 + 2*s + 6. Let z be n(-6). Let p be z/36 + (-1)/(-6). Let f(d) = -d**3 + 2*d**2 - 2*d + 1. Let u be f(2). Put p, u, 3 in decreasing order.
3, p, u
Let j(m) be the first derivative of -m + m**2 - 2/3*m**3 - 3 + 1/2*m**4. Let o be j(1). Sort 0.4, o, -1/2.
-1/2, 0.4, o
Let k = 17.5 + -17. Sort -1/3, 0, k in increasing order.
-1/3, 0, k
Let y = 34 - 35. Sort -5, 4, y, -10 in descending order.
4, y, -5, -10
Let v = -6 - -7. Put -1, -5, v in ascending order.
-5, -1, v
Let c(f) = -8*f + 6*f**2 + 1 + 3*f**2 - 3 + f - f**3. Let v be c(8). Sort -2, v, -1.
-2, -1, v
Let d = 20.6 + -12.9. Let y = d + -8. Let b = -0.1 + 0.1. Sort y, -3, b in ascending order.
-3, y, b
Let z = 20 + -15. Let r = 4 + -1. Put -1, z, r in decreasing order.
z, r, -1
Let w(s) = -s**3 - 2*s**2 + 2*s + 1. Let d be w(-3). Sort d, 3, -2.
-2, 3, d
Let z = 71 - 354/5. Suppose -q - 15 = -20. Sort z, 0.5, q in ascending order.
z, 0.5, q
Suppose -3*r + 14 - 5 = 0. Let j be 6/9 - 7/(-3). Suppose 0 = -g + j*g. Sort 5, r, g in increasing order.
g, r, 5
Let r = -0.37 - 0.33. Sort r, 0.4, -4 in ascending order.
-4, r, 0.4
Suppose 81 = 12*l + 285. Sort -1, l, -5 in descending order.
-1, -5, l
Suppose -1 = s + 1. Let k be 1*s*(-1)/2. Let p be 0 + (1 - (-2)/2). Put -5, k, p in decreasing order.
p, k, -5
Let b be (20/(-12))/5 + 24/(-9). Let g be -2 + 14*1/2. Put 7, g, b in increasing order.
b, g, 7
Let m be 5/25*516/(-2). Let r = m - -51. Let b(f) = f**3 - 4*f**2 + 1. Let p be b(4). Put -0.4, p, r in decreasing order.
p, -0.4, r
Let i = 0 - -0.4. Let h = 0.4 - i. Let l = 1/80 + 31/80. Sort l, 1, h.
h, l, 1
Suppose -14 = 5*p + x, p + 0*p - 2*x = 6. Let w be 0 - (4 + p/2). Let s = 14 - 10. Put w, s, -5 in ascending order.
-5, w, s
Let z = 0.08 + 3.92. Let p = 2 - z. Suppose -1 = 7*v - 3*v - 3*s, 4*s = 5*v. Put -0.5, v, p in descending order.
-0.5, p, v
Let u = 4.3 - 2.3. Put u, -0.4, -0.5 in increasing order.
-0.5, -0.4, u
Let q = -7/18 - -23/36. Let m = 7 + -10. Sort m, q, 4 in increasing order.
m, q, 4
Let f = 0.077 - 1.077. Sort -0.11, -3, f in increasing order.
-3, f, -0.11
Let p = 2.2 + -0.2. Let c = -3126/11 - -284. Sort c, -5, p.
-5, c, p
Suppose h + a - 2 = 0, 0 = -3*a - a + 20. Let s be 12/(-20) - (-56)/10. Put h, s, -4 in descending order.
s, h, -4
Let d = -1.6 - -7.6. Let b = -4 + d. Sort -0.5, 0.1, b.
-0.5, 0.1, b
Let s(p) = -4*p + 1. Let g be s(-1). Put g, 1, 3 in decreasing order.
g, 3, 1
Suppose 0 = -4*i + 22 - 2. Suppose i*w - 5 + 0 = 0. Let s(f) = 3*f**2 - 2*f + 1. Let g be s(w). Put 4, g, -3 in ascending order.
-3, g, 4
Let g = 5 - 19. Let b = g - -19. Put -6, b, 2 in ascending order.
-6, 2, b
Let a be (-1)/(14/4 + -3). Sort 1, a, -4.
-4, a, 1
Suppose 5*u - 1 = 4*s, 0 = 5*u - 2*u - 2*s + 1. Suppose -41*a + 39*a - 4 = 3*k, -10 = 5*a. Sort k, -9, u in descending order.
k, u, -9
Let m = 2.8 + 0.2. Let x(b) = -4 + b + 4*b + b**2 - 2*b. Let p be x(-4). Put 4/3, m, p in increasing order.
p, 4/3, m
Let w = -11 - -11. Put 1/2, w, -9/2 in ascending order.
-9/2, w, 1/2
Suppose -2*a = -0*a. Let t(g) = -g**2 + 5*g - 7. Let v be t(3). Sort 1, a, v.
v, a, 1
Let x = 0.75 - 7.75. Let g = 0.6 - 1. Sort g, x, 2.
x, g, 2
Let s(u) = u**2 - 8*u - 14. Let l be s(10). Let x be (-12)/8 + l/(-4). Sort x, -5, -4 in decreasing order.
x, -4, -5
Suppose 5*s - 27 = i, 5*i + 77 = -3*s - s. Put 0, 4, i, -2 in decreasing order.
4, 0, -2, i
Let z be ((-18)/12)/((-6)/(-8)). Sort z, 5, -1 in ascending order.
z, -1, 5
Suppose 3*z - 2*z - 4*j - 25 = 0, -5 = 3*z + 4*j. Suppose 0 = -2*i + z*i - 9. Sort -2, i, 0 in ascending order.
-2, 0, i
Let f = 0.5 - 0. Let r = 0.2 - f. Let i = 7 - 3. Sort 3, r, i in increasing order.
r, 3, i
Let r be 2 + -1 - (-10)/(-2). Let z = 6 + r. Suppose z*o = 4*x + 4, 0 = -2*o - 2*x + 9 + 1. Sort 3, o, -4.
-4, 3, o
Let y = -22 + 21. Let m = y - -2. Let k = 0.05 + -3.05. Sort m, -1/2, k in descending order.
m, -1/2, k
Let l be (16/(-24))/(4/318). Let r = l + 38. Let u be (-10)/(-4) + r/5. Put 0.5, u, -1/5 in ascending order.
u, -1/5, 0.5
Let v(j) | {
"pile_set_name": "DM Mathematics"
} |
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