text stringlengths 270 8.19k | meta dict |
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6*r*t + 8*r*y**3 + 18*t*y**3
Find the second derivative of -14*p**4 - 5*p**2 - 92*p.
-168*p**2 - 10
What is the first derivative of -a**3*i**3*u + 15*a**3*i**3 - 266*a**2*i*u**3 + 2*a**2 - 2*a*i**3 wrt u?
-a**3*i**3 - 798*a**2*i*u**2
What is the derivative of 396*l*n*z**3 + 2*l*n*z + l*n + 306*l wrt z?
1188*l*n*z**2 + 2*l*n
Find the first derivative of 143*g*w**4 + g*w**2 - 788*g wrt w.
572*g*w**3 + 2*g*w
What is the third derivative of -c**3*g**3*h**2 + 1413*c**3*g*h**2 + 109*c**2*g**3 - 18*c*h**2 - 2*g**3*h**2 wrt c?
-6*g**3*h**2 + 8478*g*h**2
What is the third derivative of -s**3*z**3 - 2972*s**3 + s**2*z**3 + 921*s**2*z**2 wrt s?
-6*z**3 - 17832
What is the third derivative of 2*f**2*w**3 - f**2*w**2 - 3*f**2*w - 5*f*w**6 + f wrt w?
12*f**2 - 600*f*w**3
Find the third derivative of 352*o**4 + o**3 - 2578*o**2 wrt o.
8448*o + 6
What is the third derivative of 7*a**3*p**6 - 61*a**3 + 3*a**2*p**2 + 3*p**4 + 2*p**2 wrt p?
840*a**3*p**3 + 72*p
Differentiate 20*n**4 - 557 with respect to n.
80*n**3
What is the second derivative of o*w*y**2*z**2 + 26*o*w*z + 4*o*y**2*z**2 + 2*o*y*z + 26*w*y**2 + 12*w*y*z + y*z**2 wrt y?
2*o*w*z**2 + 8*o*z**2 + 52*w
What is the third derivative of -40*o**5 + 2*o**3 - o**2 + 71 wrt o?
-2400*o**2 + 12
Find the third derivative of -35*f**5 - 249*f**2 + 1 wrt f.
-2100*f**2
Find the third derivative of -r**5 + 5223*r**3 - 7690*r**2 wrt r.
-60*r**2 + 31338
Find the second derivative of 12709*v**2 - 7*v + 118 wrt v.
25418
What is the third derivative of d**2*f**4 + 8887*d**2*f**3 - 2*d**2*f**2 - 5399*d*f**2 wrt f?
24*d**2*f + 53322*d**2
What is the second derivative of 18*o**3*v**2*z + o**3*v + 13*o**3*z + o**2*v**2 - o**2*v*z + 5*o*v**2*z - 2*v wrt v?
36*o**3*z + 2*o**2 + 10*o*z
What is the second derivative of 610*v**4 - 3*v**3 + v**2 - 2889*v wrt v?
7320*v**2 - 18*v + 2
What is the second derivative of -17591*w**2 - 1682*w - 5 wrt w?
-35182
Find the third derivative of -148*s**5 + s**3 + 32*s**2 + 4 wrt s.
-8880*s**2 + 6
What is the second derivative of -285*c**2*k**3 + 4*c**2 + 3*c*k**3 - 114*k**3 wrt c?
-570*k**3 + 8
Find the first derivative of -l**2 - 6809*l + 4045 wrt l.
-2*l - 6809
Find the second derivative of -1515*b**4*c + 3*b*c - 3*b + 17*c wrt b.
-18180*b**2*c
Find the third derivative of -12*d**5 + 24*d**4*z**3 - 76*d**2*z**3 + 2*d**2 wrt d.
-720*d**2 + 576*d*z**3
Find the second derivative of -52*m**3*q*t - 647*m**3*t**2 + 2*m**3*t - 2*m**2*q*t**2 wrt t.
-1294*m**3 - 4*m**2*q
Differentiate -216*h*m*u + 12*h*m - 5*h - 2*m wrt u.
-216*h*m
What is the third derivative of -60*q**4 - 223*q**3 - 20*q**2 + q + 114?
-1440*q - 1338
What is the third derivative of 19*f*n**3*x + 149*f*n**2*x**2 + 2*f*n*x + 6*n**3*q + 2*n**3*x**2 - n**2*x - 2*n*q*x wrt n?
114*f*x + 36*q + 12*x**2
Differentiate f*i*n*o + 2*f*i*n - f*i*o + 8*f*n + 2*f + 34*i - 11*o wrt i.
f*n*o + 2*f*n - f*o + 34
Find the second derivative of 4682*l**3 + 622*l.
28092*l
What is the first derivative of 13*q*w*x**3 + q*w + 28*q*x*z**2 - 3*w*x**3*z**2 - 2*x**3 - 84*x*z**2 wrt q?
13*w*x**3 + w + 28*x*z**2
What is the second derivative of -193*b*l**2*s - 2413*b*l - 30*l**2*s - l*s + 3*l wrt l?
-386*b*s - 60*s
Find the first derivative of -9577*j**3 - 8404.
-28731*j**2
Find the first derivative of 5*l*x**2 - 14*l*x - 6*l - 9 wrt x.
10*l*x - 14*l
Find the third derivative of -2*b**5 + 141*b**3 - 41*b**2 - 1 wrt b.
-120*b**2 + 846
Find the second derivative of -u**5*w**2 - u**2*w**2 - 9*u**2 + 6*u - 5*w**2 + w wrt u.
-20*u**3*w**2 - 2*w**2 - 18
What is the first derivative of -2*m*p*z + 77*m*p - m*z**3 - m*z**2 - p*z**3 + 19*z**3 + 18*z**2 wrt m?
-2*p*z + 77*p - z**3 - z**2
What is the second derivative of 340*a**2 + 818*a wrt a?
680
Differentiate 2*n**3 + 13*n**2 - 88 with respect to n.
6*n**2 + 26*n
What is the second derivative of -2*a**3*d**2 + 13*a**3*d - 5196*a**2*d**2 + 441*a**2*d wrt d?
-4*a**3 - 10392*a**2
What is the derivative of -38*m*w**2 + m*w - 2*m + 4*w**2 + 2*w + 185 wrt w?
-76*m*w + m + 8*w + 2
Find the second derivative of -2*l*p**2 - l - p**4 + 154*p**3 - 8*p + 21 wrt p.
-4*l - 12*p**2 + 924*p
Find the second derivative of -14*i*r**2*w - i*r**2*z**3 - 4*i*r*w*z - 2*i*r + 3*r**2*w*z**3 + 3*r*w*z**3 + 3*r*w*z**2 wrt r.
-28*i*w - 2*i*z**3 + 6*w*z**3
Find the third derivative of 6*p**5*v**3 - 17*p**4*v**3 - 8*p**2*v**3 - p**2*v**2 + p**2 wrt p.
360*p**2*v**3 - 408*p*v**3
Find the third derivative of 9*g**3*m**2 - 18*g**3*t + 2*g**2*m*t + 6*g**2*m - 41*g*m**2*t wrt g.
54*m**2 - 108*t
Find the first derivative of -89*o**3 - 3*o**2 - 347.
-267*o**2 - 6*o
What is the second derivative of k**5 - 253*k**3 + 7*k + 24?
20*k**3 - 1518*k
Find the third derivative of -936*f**3*x + 2*f**3 - 43*f**2*x - 8 wrt f.
-5616*x + 12
Differentiate 9*d*h + 20*d*k - 40*h*k - 5*k wrt d.
9*h + 20*k
Differentiate 3*c*s*x**2 - 5*c*s + 2*c*x**2 - 29*s*x**2 - 2*s*x - 4*s + 12 with respect to x.
6*c*s*x + 4*c*x - 58*s*x - 2*s
What is the derivative of -6*d**2 + 11*d - 306 wrt d?
-12*d + 11
Find the third derivative of 4*c**5 - c**4 - 121*c**2 wrt c.
240*c**2 - 24*c
What is the third derivative of -a**4*w**3 + 51*a**3*w**3 - a**2*w**3 + 222*a**2 wrt a?
-24*a*w**3 + 306*w**3
What is the third derivative of x**5 - 43*x**3 + 33*x**2?
60*x**2 - 258
What is the second derivative of 246*u**3 + u + 163 wrt u?
1476*u
What is the derivative of -168*r**4 + r**2*y**2 - 630*y**2 + 2 wrt r?
-672*r**3 + 2*r*y**2
What is the second derivative of -q**4 - 3636*q**3 - 325*q - 1 wrt q?
-12*q**2 - 21816*q
What is the third derivative of 14*b**6 + 104*b**5 + b**3 - 23*b**2 + 23*b?
1680*b**3 + 6240*b**2 + 6
Find the first derivative of -49*n**3*q*x**2 - 4*n**3*q*x + 2*n**3*x - 383*n**3 - 2*n**2*x**2 wrt q.
-49*n**3*x**2 - 4*n**3*x
What is the third derivative of 33*f**4 + 4*f**3 - 2*f**2 - 331?
792*f + 24
What is the first derivative of -4560*w**2 - 7425?
-9120*w
Find the second derivative of 2*a**3*z + 1235*a**2*z + 2167*a*z - a wrt a.
12*a*z + 2470*z
Find the third derivative of -2*f*r - 40*f*s**3*u - 2*f*s**2*u - 2*f*s*u**3 - 2*f*u + 9*r*s**3*u**3 + 525*r*s**2*u**3 + 2*s**3*u**2 wrt s.
-240*f*u + 54*r*u**3 + 12*u**2
Find the first derivative of 330*i**3 + 2*i - 823 wrt i.
990*i**2 + 2
What is the second derivative of -215*y**3 + y + 37 wrt y?
-1290*y
What is the second derivative of -38*l*m**3 - l*m**2 - 13*l - 3*m**3 + 39*m wrt m?
-228*l*m - 2*l - 18*m
Find the third derivative of 15*l**3*m - 11*l**2*m - 3*l wrt l.
90*m
Find the first derivative of i**2*t**2 + 4755*i**2 + 661*i*t**4 wrt t.
2*i**2*t + 2644*i*t**3
Find the second derivative of 2*j**5 + 134*j**4 - j**2 - 3*j - 91 wrt j.
40*j**3 + 1608*j**2 - 2
Differentiate -q**2*r - 117*q**2 + 54*q*r with respect to r.
-q**2 + 54*q
Find the third derivative of -592*o**3*w**2*y + 3*o**3*w*y + o**2*w**2*y - 26*o**2*w*y + 10*o**2*w wrt o.
-3552*w**2*y + 18*w*y
Find the second derivative of -165*u**4 + 49*u + 1 wrt u.
-1980*u**2
What is the third derivative of -310*n**4 - 56*n**2?
-7440*n
Find the third derivative of 1223*z**3 + 1522*z**2 wrt z.
7338
What is the second derivative of 21*c**2*m*t**2 - 2*c**2*m*t + c*m*t**2 - 15*c*t wrt t?
42*c**2*m + 2*c*m
What is the second derivative of 23330*p**2 + 2172*p - 5?
46660
Find the second derivative of 68*f**5 - 32*f wrt f.
1360*f**3
What is the second derivative of -2790*x**2 + 4144*x wrt x?
-5580
Find the third derivative of 2*b*h**4 - 12*b*h**3 - 109*b*h**2 + 2*b*h + 3*h**6 + 2 wrt h.
48*b*h - 72*b + 360*h**3
Find the third derivative of -3*f*o**4 - 2*f*o**3 - 2*f*o**2 - 542*f*o + 47*o**3 - 2*o**2 wrt o.
-72*f*o - 12*f + 282
What is the third derivative of -3*b**3*r**4 - 9*b**3 + 6*b*r**4 + 8*r**4 + 61*r**2 wrt r?
-72*b**3*r + 144*b*r + 192*r
Differentiate -2*q**3*t*z + q**3*t - 243*q**3 - 7*q*z + 21*t*z + 2*t wrt z.
-2*q**3*t - 7*q + 21*t
What is the second derivative of 103*a**3*n + 4*a**2*n**3 + 119*a*n**3 - 2*n**3 wrt a?
618*a*n + 8*n**3
Find the second derivative of 60*o**3 - o**2 - 96*o wrt o.
360*o - 2
What is the first derivative of -534*a**3 - 357 wrt a?
-1602*a**2
Find the third derivative of 30727*u**3 + 3*u**2 - 3*u + 37.
184362
Find the third derivative of -c**3*w**4 + 10*c**3*w + c**2*w - 2*c*w**4 + 70*c*w**3 + 3*w**2 wrt w.
-24*c**3*w - 48*c*w + 420*c
Find the third derivative of -14 | {
"pile_set_name": "DM Mathematics"
} |
- 4 - 11966*x + 2.
-69*x - 2
Collect the terms in -6 + 2*l**2 + 6 - 69926*l + 69937*l - 4*l**2.
-2*l**2 + 11*l
Collect the terms in -3045*k + 646*k - 76*k - 766*k.
-3241*k
Collect the terms in -45928 - 47*v + 45928.
-47*v
Collect the terms in 49 - 49 + 16*a - 66*a.
-50*a
Collect the terms in 5*b**2 + 2*b**2 - b**2 + 2 - 3 - b**2.
5*b**2 - 1
Collect the terms in -9254 + 5*b + 9254 - 126*b**2.
-126*b**2 + 5*b
Collect the terms in 25*r**2 - 17*r**2 + 22*r**2 - 29*r**2.
r**2
Collect the terms in 50533*d - 25280*d - 25260*d.
-7*d
Collect the terms in 254*u**3 + 39*u**3 - 2 + 187*u**3 - 5.
480*u**3 - 7
Collect the terms in -2535*t**2 + 0*t**3 + 3*t**3 - 1595*t**2 + 4130*t**2.
3*t**3
Collect the terms in -92297 + 92297 - 24*b.
-24*b
Collect the terms in 26 + r - 46 + 2 + 18.
r
Collect the terms in -2130*a**3 + 1662*a**3 - 5443*a**3.
-5911*a**3
Collect the terms in 16 - 207 + 68*m - 66*m.
2*m - 191
Collect the terms in 490662 + 320*j - 490662.
320*j
Collect the terms in -2679*z**2 - 2694*z**2 + 5388*z**2.
15*z**2
Collect the terms in -14488 - 175*c**2 - 3*c**2 + 14488.
-178*c**2
Collect the terms in -18*t**2 - 6*t**2 + 73*t**2 - 16*t**2 - 18*t**2.
15*t**2
Collect the terms in 2*h**3 + 3*h**3 + 18*h - 11*h**3.
-6*h**3 + 18*h
Collect the terms in 134869*q + 248*q**2 - 134871*q - 42*q**2.
206*q**2 - 2*q
Collect the terms in 801878*l**3 - 801877*l**3 + 1 - 9*l**2 - 1.
l**3 - 9*l**2
Collect the terms in j + 344*j**3 + 219*j**3 - 4*j - 1015*j**3.
-452*j**3 - 3*j
Collect the terms in -462 - 4*m**3 - 529 - 948.
-4*m**3 - 1939
Collect the terms in 75*n - 907 + 903 - 78*n.
-3*n - 4
Collect the terms in 40*a + 43*a + 42*a - 214*a + 39*a + 46*a.
-4*a
Collect the terms in 11711*z - 23452*z + 11710*z.
-31*z
Collect the terms in -145*u + 233*u - 88*u - 146*u**2.
-146*u**2
Collect the terms in 2*c**2 - 7*c**2 + 23334*c**3 + c**2.
23334*c**3 - 4*c**2
Collect the terms in 4 + 3895*o - 5 - 3898*o.
-3*o - 1
Collect the terms in 16274 - 16274 + 232*x**2 - 2*x**3.
-2*x**3 + 232*x**2
Collect the terms in -134*p - 133*p + 17*p**3 + 267*p + 13*p**3.
30*p**3
Collect the terms in -132*d**2 + 43*d**2 + 99*d**2.
10*d**2
Collect the terms in 20837 + 37*p**2 - 41684 + 20847.
37*p**2
Collect the terms in 1045*u**2 - 382*u**2 - 340*u**2 - 361*u**2.
-38*u**2
Collect the terms in -2 - 4 + 5 - 22*s - 198*s.
-220*s - 1
Collect the terms in 2*o - o + 64 - 4*o.
-3*o + 64
Collect the terms in m + 5020 + 4*m - 2*m - 5016.
3*m + 4
Collect the terms in -6698*i + 2058*i - 2262*i.
-6902*i
Collect the terms in t**2 + 27410 - 54822 + 27412 + 0*t**2.
t**2
Collect the terms in 472 + 466 - 3*b + 473 - 1411.
-3*b
Collect the terms in 26*l**3 - 30*l**3 - 17*l**3 - 47*l**3.
-68*l**3
Collect the terms in 79*y**3 - 59*y**3 - 25*y**3.
-5*y**3
Collect the terms in -4*b**2 - 3722071*b + 3722071*b - 2.
-4*b**2 - 2
Collect the terms in -26 + 20 + 351*h + 77*h + 6.
428*h
Collect the terms in -4*a**2 + 3*a**2 + 3*a**3 + 0*a**3 + 0*a**3 - 7*a**2.
3*a**3 - 8*a**2
Collect the terms in 2146 + 47*w**3 - 4289 + 2142.
47*w**3 - 1
Collect the terms in -37*x - 398 - 392 + 1571 - 385 - 396.
-37*x
Collect the terms in -18843774385 + 3*b + 18843774385.
3*b
Collect the terms in 25789*d + 5*d**2 - 4*d**2 - 25799*d.
d**2 - 10*d
Collect the terms in -9*u - 4*u**2 - u + 12*u - 19*u - 7*u.
-4*u**2 - 24*u
Collect the terms in -487*i + 197*i + 109*i - 461*i.
-642*i
Collect the terms in -70095*g + 4 - 4 + 0 + 70097*g.
2*g
Collect the terms in -78514*o**2 + 39247*o**2 + 39247*o**2.
-20*o**2
Collect the terms in 4 - 268*t**2 - 6*t - 4*t + 4*t - 4.
-268*t**2 - 6*t
Collect the terms in -5 + 7 + 15*i**3 + 10 - 14.
15*i**3 - 2
Collect the terms in -27*w - 43 - 12*w + 80 - 36.
-39*w + 1
Collect the terms in 33*h - 53*h**2 - 65*h**2 + 4 - 5.
-118*h**2 + 33*h - 1
Collect the terms in 118*i - 132 - 120*i + 459.
-2*i + 327
Collect the terms in -4*b - 29 - 10*b + 11*b.
-3*b - 29
Collect the terms in -19*c**3 + 12*c**3 + 8*c**3 + 10*c**3.
11*c**3
Collect the terms in 27 + 21 + 113*s**2 - 48 + 104*s**2.
217*s**2
Collect the terms in 22*i**2 + 73*i - 14*i**2 + 65*i - 14*i**2.
-6*i**2 + 138*i
Collect the terms in -666 + 1129 - 463 + 12*s.
12*s
Collect the terms in o + 2*o**2 - 22*o - 32*o + 0 + 1.
2*o**2 - 53*o + 1
Collect the terms in 437*q**2 - 822*q**2 - 528*q**2 - 653*q**2.
-1566*q**2
Collect the terms in 67*k - 96*k + 162*k.
133*k
Collect the terms in 72*z - 240*z + 130*z - 361*z - 754*z.
-1153*z
Collect the terms in 16*m**2 + 4*m**2 - 23*m**2 + 3*m**2 + 23*m**2.
23*m**2
Collect the terms in 1 - 8 + 6 + 49*c + 3.
49*c + 2
Collect the terms in 6*t + 4 + 5*t - 3 + 5*t + 0.
16*t + 1
Collect the terms in -98300*f**2 - 4*f**3 + 98300*f**2.
-4*f**3
Collect the terms in 2*b + 0*b - 48767*b**2 - 2*b + 48771*b**2.
4*b**2
Collect the terms in -283 + 424 - 134*k - 141.
-134*k
Collect the terms in 156*n**2 + 3155 - 3155.
156*n**2
Collect the terms in 356*l - 356*l - 703*l**2 + 704*l**2.
l**2
Collect the terms in -3310*i - 995*i - 2196*i + 1744*i + 9*i**2.
9*i**2 - 4757*i
Collect the terms in -23137*c**3 - 8162*c**3 + 4626*c**3.
-26673*c**3
Collect the terms in 117 - 117 + 106*y**3 - 338*y**3.
-232*y**3
Collect the terms in -291 + 216*f**2 + f**3 + 82 + 131*f**2.
f**3 + 347*f**2 - 209
Collect the terms in -154*g**3 - 89*g**3 + 450*g**3 - 96*g**3 - 114*g**3.
-3*g**3
Collect the terms in 42320*q - 89*q**2 - 42320*q.
-89*q**2
Collect the terms in -2*o + 21*o**2 - 147*o**2 + 2*o.
-126*o**2
Collect the terms in -59197 + 59206 - 2*q**2 + 5*q**2.
3*q**2 + 9
Collect the terms in 3184*h**3 + 3181*h**3 + 3190*h**3 + 3170*h**3 + 3179*h**3 - 15901*h**3.
3*h**3
Collect the terms in 0*j**2 + 21976 + 2*j**2 - 21912.
2*j**2 + 64
Collect the terms in -137*i + 43*i + 52*i + 53*i.
11*i
Collect the terms in -f + 4731748 - 4731748.
-f
Collect the terms in -23*r - 18*r - 24*r - 3*r**2 + 0*r**2 + 68*r.
-3*r**2 + 3*r
Collect the terms in 4*v**2 + 2*v - 7*v**2 - 11*v**2 + 2*v**2 - 2*v.
-12*v**2
Collect the terms in -95*g**2 + 40*g**2 - 156*g**2 - 19*g**2.
-230*g**2
Collect the terms in -98*h**3 + 1312*h**3 + 800*h**3.
2014*h**3
Collect the terms in 278*r - 573*r + 292*r.
-3*r
Collect the terms in 5 + 5 + 853*i**2 - 10.
853*i**2
Collect the terms in -6 - 4 + 5*z + 3 + 2.
5*z - 5
Collect the terms in -407*o**2 + 215*o**2 - 103*o**2.
-295*o**2
Collect the terms in -2*l**2 + l**2 + 4*l**2 - 4*l**2 - 4 + 63.
-l**2 + 59
Collect the terms in -6*w + 144 + 6*w - 2*w**3.
-2*w**3 + 144
Collect the terms in 12509*d**3 - 1649*d**3 + 4093*d**3.
14953*d**3
Collect the terms in p**3 - 27*p**2 + 3*p**2 + 15*p**2 + 9*p**2.
p**3
Collect the terms in -32 - w + 20 + 33 - 2*w - 21.
-3*w
Collect the terms in -6*v**2 - 17*v**2 + 10*v**2 - 16 - 39 - 26.
-13*v**2 - 81
Collect the terms in -126*q - 16*q - 63*q**2 + 59*q**2 + 38*q.
-4*q**2 - 104*q
Collect the terms in -4*t + 5 + 0 - 5 + 5*t.
t
Collect the terms in 0*v**2 - 3 + 4*v**2 - 2 + 21.
4*v**2 + 16
Collect the terms in -1388*a**2 - 1397*a**2 + 2*a**3 - 1397*a**2 - 1393*a**2 + 5575*a**2.
2*a**3
Collect the terms in -9185*o - 5 + 9187*o + 1 + 3 + 4.
2*o + 3
Collect the terms in -7*o + 2*o + 3*o + 331*o**3 - 332*o**3.
-o**3 - 2*o
Collect the terms in -287*y**2 + 289*y**2 - 75*y**3 + 14*y**3.
-61*y**3 + 2*y**2
Collect the terms in -1178654*k**3 + 2357309*k**3 - 1178651*k**3.
4*k**3
Collect the terms in 154 - 2*l + 199 - 14 - 45.
-2*l + 294
Collect the terms in -30 - 42 - 35 + 2744*k + 107.
2744*k
Collect the terms in -366363*f**2 - 3 + 732728*f**2 + 4 - 366357*f**2 - 1.
8*f**2
Collect the terms in -23309537403 - 9*b + 23309537403.
-9*b
Collect the terms in 2032*r**2 - 1030*r**2 + 15*r**3 - 1002*r**2.
15*r**3
Collect the terms in -215*n**2 + n - 222*n**2 - 206*n**2 + 685*n**2.
42*n**2 + n
Collect the terms in 1893418*v - 946707*v + 3*v**2 - 946711*v.
3*v**2
Collect the terms in -1 - 341018*u + 1 + 341101*u.
83*u
Collect the terms in 1487228*t + 11*t**2 - 1487228*t.
11*t**2
Collect the terms in -3*f + 38 + 37 - 152 + 32 + 45.
-3*f
Collect the terms in 9 + 9 + 18*l + 6 - 24.
18*l
Collect the terms in -96*n + 30*n + 4 - 5.
-66*n - 1
Collect the terms in 2*a**2 - 121*a + 350*a + a**3 - 145*a - 2*a**2.
a**3 + 84*a
Collect the terms in 1220*f - 2 + 2257*f + 2.
3477*f
Collect the terms in 8 + 25*i**3 + 10 + 0 - 266*i + i**2 + 266*i.
25*i**3 + i**2 + 18
Coll | {
"pile_set_name": "DM Mathematics"
} |
6 and 42.
14
Calculate the highest common divisor of 7 and 63.
7
What is the highest common factor of 3314 and 1?
1
What is the highest common divisor of 10328 and 16?
8
What is the highest common factor of 7 and 840?
7
What is the highest common factor of 30 and 120?
30
What is the greatest common divisor of 3336 and 120?
24
What is the highest common factor of 23 and 1357?
23
What is the highest common factor of 416 and 12?
4
What is the greatest common divisor of 514 and 6939?
257
Calculate the highest common factor of 111 and 259.
37
Calculate the greatest common factor of 27 and 72387.
27
What is the greatest common divisor of 8 and 5?
1
Calculate the highest common divisor of 329 and 35.
7
What is the greatest common divisor of 86095 and 335?
335
What is the highest common factor of 36 and 15?
3
Calculate the greatest common factor of 66 and 4257.
33
What is the greatest common factor of 108 and 576?
36
Calculate the greatest common factor of 300 and 125.
25
Calculate the greatest common factor of 240 and 200.
40
What is the greatest common factor of 50 and 225?
25
Calculate the greatest common divisor of 714 and 2091.
51
Calculate the greatest common factor of 31452 and 12.
12
Calculate the highest common divisor of 232 and 986.
58
What is the greatest common factor of 215 and 33755?
215
Calculate the greatest common factor of 8909 and 151.
151
What is the greatest common factor of 16 and 6064?
16
Calculate the highest common divisor of 12 and 636.
12
What is the greatest common divisor of 612 and 162?
18
What is the greatest common factor of 4 and 38?
2
Calculate the greatest common divisor of 34 and 731.
17
What is the greatest common factor of 16954 and 346?
346
Calculate the greatest common divisor of 51 and 170.
17
Calculate the greatest common divisor of 1926 and 214.
214
Calculate the greatest common factor of 22 and 902.
22
Calculate the greatest common factor of 59 and 1121.
59
What is the highest common divisor of 152 and 64?
8
Calculate the highest common factor of 27 and 5229.
9
Calculate the highest common divisor of 534 and 18.
6
Calculate the greatest common factor of 166 and 58.
2
Calculate the highest common divisor of 299 and 92.
23
Calculate the highest common factor of 396 and 44.
44
What is the highest common factor of 304 and 16?
16
Calculate the highest common factor of 4 and 1106.
2
Calculate the greatest common factor of 2 and 23.
1
What is the greatest common factor of 19916 and 1149?
383
What is the highest common divisor of 24 and 456?
24
Calculate the greatest common factor of 80 and 800.
80
What is the greatest common divisor of 10 and 730?
10
Calculate the greatest common divisor of 12024 and 167.
167
Calculate the highest common divisor of 104 and 91.
13
Calculate the greatest common divisor of 2 and 12.
2
What is the greatest common divisor of 380 and 1000?
20
Calculate the greatest common divisor of 9790 and 110.
110
What is the greatest common divisor of 164 and 3526?
82
Calculate the highest common factor of 286 and 234.
26
Calculate the greatest common factor of 15 and 15885.
15
Calculate the highest common factor of 400 and 500.
100
Calculate the highest common divisor of 371 and 49.
7
Calculate the greatest common divisor of 24 and 324.
12
What is the greatest common divisor of 11 and 693?
11
What is the highest common divisor of 520 and 3000?
40
Calculate the highest common divisor of 23613 and 51.
51
What is the greatest common divisor of 65 and 104?
13
What is the highest common divisor of 72 and 84?
12
What is the highest common factor of 567 and 63?
63
What is the greatest common divisor of 5863 and 52?
13
What is the greatest common divisor of 58925 and 25?
25
What is the greatest common divisor of 354 and 7552?
118
Calculate the greatest common factor of 84 and 2730.
42
What is the highest common divisor of 154 and 28?
14
What is the greatest common factor of 80 and 1900?
20
What is the greatest common divisor of 27 and 171?
9
Calculate the greatest common divisor of 7 and 371.
7
Calculate the greatest common factor of 160 and 120.
40
Calculate the highest common divisor of 42 and 42.
42
What is the greatest common factor of 12 and 19794?
6
What is the greatest common factor of 74 and 37?
37
What is the highest common divisor of 1530 and 45?
45
What is the greatest common factor of 102 and 6?
6
Calculate the highest common factor of 290 and 2755.
145
Calculate the greatest common factor of 352 and 2208.
32
Calculate the highest common factor of 225 and 20565.
45
What is the highest common factor of 9797 and 97?
97
Calculate the highest common factor of 123 and 9963.
123
What is the greatest common factor of 1694 and 14?
14
What is the greatest common factor of 171 and 99?
9
Calculate the highest common factor of 2085 and 3.
3
What is the greatest common divisor of 180 and 96?
12
What is the greatest common divisor of 85 and 561?
17
Calculate the highest common factor of 102 and 34.
34
Calculate the greatest common divisor of 24 and 24.
24
What is the highest common divisor of 3927 and 51?
51
Calculate the highest common divisor of 192 and 18688.
64
Calculate the greatest common factor of 639 and 142.
71
Calculate the greatest common divisor of 1 and 7.
1
Calculate the highest common divisor of 80 and 295.
5
What is the highest common factor of 12 and 768?
12
What is the highest common divisor of 2500 and 4?
4
What is the greatest common divisor of 64 and 80?
16
What is the greatest common factor of 78 and 598?
26
Calculate the greatest common divisor of 108 and 8676.
36
Calculate the greatest common divisor of 82 and 3854.
82
What is the greatest common divisor of 6 and 630?
6
Calculate the highest common factor of 851 and 161.
23
Calculate the greatest common factor of 2180 and 20.
20
What is the highest common factor of 4167 and 9?
9
Calculate the highest common factor of 304 and 288.
16
What is the highest common divisor of 754 and 52?
26
Calculate the greatest common divisor of 536 and 2278.
134
Calculate the greatest common factor of 3042 and 2366.
338
What is the highest common divisor of 168 and 273?
21
What is the greatest common factor of 9 and 603?
9
Calculate the greatest common factor of 2451 and 172.
43
Calculate the highest common divisor of 77 and 7.
7
What is the greatest common divisor of 8477 and 173?
173
Calculate the greatest common divisor of 1029 and 14.
7
What is the greatest common divisor of 52 and 6656?
52
What is the highest common divisor of 950 and 38?
38
What is the highest common factor of 36 and 9252?
36
Calculate the highest common factor of 72 and 108.
36
Calculate the highest common divisor of 115 and 368.
23
Calculate the highest common factor of 712 and 40.
8
What is the greatest common factor of 16 and 188?
4
What is the highest common divisor of 1408 and 640?
128
Calculate the highest common divisor of 22450 and 200.
50
What is the greatest common divisor of 196 and 476?
28
Calculate the highest common divisor of 24 and 28.
4
What is the highest common divisor of 13 and 13624?
13
Calculate the highest common factor of 25 and 3.
1
What is the highest common divisor of 72 and 306?
18
Calculate the highest common factor of 93 and 25203.
93
What is the greatest common factor of 522 and 116?
58
What is the greatest common factor of 91 and 1196?
13
Calculate the greatest common divisor of 17 and 3961.
17
What is the highest common factor of 144 and 1368?
72
Calculate the highest common divisor of 81 and 1089.
9
What is the highest common divisor of 567 and 315?
63
What is the greatest common factor of 17 and 10897?
17
Calculate the greatest common factor of 23 and 3059.
23
What is the greatest common divisor of 396 and 2596?
44
What is the highest common divisor of 60 and 270?
30
Calculate the greatest common factor of 404 and 101.
101
What is the greatest common factor of 62566 and 218?
218
What is the greatest common divisor of 351 and 27?
27
Calculate the highest common factor of 1296 and 48.
48
What is the greatest common divisor of 12175 and 125?
25
Calculate the greatest common factor of 13 and 12.
1
What is the highest common divisor of 49 and 413?
7
What is the highest common divisor of 5 and 155?
5
What is the greatest common divisor of 190 and | {
"pile_set_name": "DM Mathematics"
} |
285765*a
Let j(o) = 7*o**2. Let a(y) be the second derivative of -59*y**4/12 + 37*y + 16. Calculate j(a(q)).
24367*q**4
Let i(q) = 1040557*q. Let g(f) = -14*f**2. Give i(g(r)).
-14567798*r**2
Let t(x) = -3 - 3963*x**2 + 8049*x**2 - 3966*x**2. Let m(i) = 5*i. Give t(m(q)).
3000*q**2 - 3
Let b(d) = 16*d**2. Suppose -4*u - 100 - 156 = 0. Let o = u + 73. Let y(p) = -5*p + 20*p - o*p - 5*p. Calculate y(b(g)).
16*g**2
Let p(a) be the second derivative of 3*a + 0*a**2 + 7/12*a**4 + 0 + 0*a**3. Let r(i) = i. Let n(l) = -3*l**2 - 9*l. Let f(z) = -n(z) - 9*r(z). What is p(f(o))?
63*o**4
Let l(n) = 41*n. Let c(d) be the first derivative of 17*d**2 - 1737. Determine c(l(o)).
1394*o
Let u(o) = 1631*o**2 - 42. Let a(z) = -6. Let t(i) = 7*a(i) - u(i). Let q(b) = 2*b. Give q(t(s)).
-3262*s**2
Let l(w) be the second derivative of -w**4/6 + 485*w - 1. Let f(d) = 519*d**2. Calculate f(l(v)).
2076*v**4
Let r(z) be the third derivative of z**5/30 + 11*z**2 + 18*z. Let d(b) be the second derivative of -55*b**4/6 - 3*b. What is r(d(m))?
24200*m**4
Let d(q) = 1210*q**2 - 6*q - 835. Let p(f) = -2*f. What is d(p(z))?
4840*z**2 + 12*z - 835
Let i(b) be the third derivative of b**5/15 - 4*b**2 + 108*b - 1. Let u(o) be the first derivative of -5*o**3 - 1. Give i(u(m)).
900*m**4
Let q(w) = -8*w + 1. Let t(i) = -5*i**2 + 4*i + 6. Let n(o) = 7*o**2 - 6*o - 9. Let l(f) = 2*n(f) + 3*t(f). Calculate q(l(a)).
8*a**2 + 1
Let u(w) be the third derivative of 0*w**3 + 0*w - 6 + 10*w**2 + 1/60*w**5 + 0*w**4. Let f(h) be the third derivative of -h**5/20 - h**2. Determine u(f(c)).
9*c**4
Let f = 199 - 187. Let l(h) = -18*h + 33*h - f*h + 0*h. Let i(q) = -6*q - 1. Determine i(l(a)).
-18*a - 1
Let i(q) = -31*q + 5. Let a(w) = -94*w + 16. Let b(m) = -5*a(m) + 16*i(m). Let t(z) = 75*z - 331 - 130*z + 331 + 67*z. What is t(b(x))?
-312*x
Let z(b) = -9 + 40 - 7 + 48*b - 13 - 9. Let h(g) = -5*g**2. Calculate z(h(p)).
-240*p**2 + 2
Let k(t) = -t + 9. Let s(a) = -547*a**2 + 10*a. What is k(s(h))?
547*h**2 - 10*h + 9
Let t(r) = -r**2 - 94*r + 424. Let i(d) = -283*d**2. Give t(i(n)).
-80089*n**4 + 26602*n**2 + 424
Let f(s) = 36*s**2. Let p(w) = -197293*w. Calculate p(f(z)).
-7102548*z**2
Let h(r) be the second derivative of 0*r**2 + 0*r**3 + 0 - 5/6*r**4 - 17*r. Let k(m) = -9*m. Determine k(h(j)).
90*j**2
Let w(a) = -3*a + 3*a + 2*a**2 + a**2. Let i(n) = -9*n + 6. Let u(x) = -x**2 + 3*x - 2. Let h(j) = -3*i(j) - 9*u(j). Calculate h(w(l)).
81*l**4
Let c(j) be the third derivative of -1409*j**4/24 - j**3/2 - 5*j**2 - 731. Let f(h) = -h**2. Give f(c(o)).
-1985281*o**2 - 8454*o - 9
Let r(p) be the third derivative of p**5/120 + 4*p**3/3 + p**2 + 22. Let u(g) be the first derivative of r(g). Let z(c) = 47*c. Give u(z(o)).
47*o
Let p(y) = 64*y + 11. Let f(c) = 12*c + 2. Let x(k) = -11*f(k) + 2*p(k). Let h(a) = 7*a - 1. Give x(h(d)).
-28*d + 4
Let h(y) = 7*y. Let z(v) = -5*v + 3. Let d(o) = -3*o - 1. Let x(c) = 3*d(c) - 2*z(c). Determine h(x(s)).
7*s - 63
Let z(f) be the second derivative of f**3/3 + 3*f. Let i be (3/(9/(-12)))/((-6)/591). Let v(a) = 14*a**2 + 394 - i. Determine z(v(d)).
28*d**2
Let n(h) = 2*h**2. Let i(m) = -m**3 + 6*m**2 + 16*m + 1. Let c be i(8). Let a(r) be the first derivative of 0 - 7 - 2*r**2 - 27 - c. Give a(n(b)).
-8*b**2
Let k(s) = -569*s. Let o be (410/287)/(2/581). Let w(z) = -414*z + 829*z - o*z + 2*z**2. Determine w(k(a)).
647522*a**2
Let v(p) be the first derivative of p**3 - 37*p - 7431. Let a(o) = o**2. What is v(a(k))?
3*k**4 - 37
Let a(h) = 20*h**2. Let q(v) be the third derivative of -13*v**4/24 + v**3/6 - 3252*v**2. Determine a(q(c)).
3380*c**2 - 520*c + 20
Let q(n) be the third derivative of -9*n**4/4 + 78*n**2 - 27. Let d(w) = -2*w - 2 + 2. Calculate q(d(c)).
108*c
Let q(j) = -10*j - 9*j + 6*j. Let r(n) = -3*n - 5109. Let z(v) = -1703. Let w(p) = 4*r(p) - 12*z(p). What is w(q(d))?
156*d
Suppose -4*k = 2*z - 12, -3*k - 29 + 35 = 0. Let n(d) = 731*d + 150*d**z - 731*d. Let a(s) = -s. Determine n(a(x)).
150*x**2
Let m(s) = -6*s. Let x(d) be the first derivative of 24*d**3 + 4190. Calculate x(m(n)).
2592*n**2
Let v(j) = 63*j + 11. Let x(c) = 6*c + 1. Let g(h) = 6*v(h) - 66*x(h). Let r(l) = 4*l - 3*l + 4*l. Determine r(g(b)).
-90*b
Let b(x) = -2*x**2 - 34*x + 4. Let p be (-1 - 0)*(1 - -16). Let h be b(p). Let n(v) = -4 - 40*v + 41*v + h. Let c(r) = 14*r - 2. Calculate n(c(i)).
14*i - 2
Let b(m) = 12*m**2. Let p(u) = 13005940*u. What is p(b(i))?
156071280*i**2
Let n(u) = 958943*u. Let c(b) = 5*b**2. Determine c(n(a)).
4597858386245*a**2
Let j(p) = 2*p. Let h(r) = 14776443*r. Calculate h(j(a)).
29552886*a
Let s(y) = 2664*y. Let k(w) = 15450*w**2. What is k(s(u))?
109647043200*u**2
Let y(b) = -16*b**2. Let q(s) = 5730764*s**2. Give q(y(r)).
1467075584*r**4
Let k(z) = -2*z**2 - 61*z. Let v(c) = -5325*c + 6. Give v(k(w)).
10650*w**2 + 324825*w + 6
Let k(u) = u. Let l(r) be the third derivative of 2*r**5/15 - r**4/3 + 127*r**3/6 - 30*r**2 - 2. Let w(g) be the first derivative of l(g). What is k(w(o))?
16*o - 8
Let y = -351 - -515. Let r = -153 + y. Let s(h) = r*h + 5*h - 17*h. Let v(x) = -12*x. Calculate s(v(p)).
12*p
Let v be (-12)/(-66) - 4/22. Let s(d) = 6*d + v*d - 5*d + d. Let l(m) = m**2 + 1. Let k(y) = 21*y**2 + 24. Let p(o) = -5*k(o) + 120*l(o). Determine p(s(h)).
60*h**2
Let g(o) = -2717761*o**2. Let y(f) = 2*f. Determine g(y(a)).
-10871044*a**2
Let x(l) = -6*l**2 - 11*l - 2. Let v(y) = y - 9 + 31 - 15 - 7. What is v(x(k))?
-6*k**2 - 11*k - 2
Let h(r) = -2*r**2. Let d(z) = -10*z**2 - z + 35*z**2 - 53*z**2 - 12 - 63*z**2 + z**2. Calculate d(h(l)).
-360*l**4 + 2*l**2 - 12
Let m be (((-4)/(-9))/2)/((-7)/(-63)). Let a(w) = -2717 + 2717 - 2*w**m - 8*w. Let v(s) be the third derivative of -s**5/60 - 3*s**2. Calculate a(v(h)).
-2*h**4 + 8*h**2
Let x(o) be the first derivative of 7*o**5/20 + 4*o**2 - o - 44. Let u(s) be the second derivative of x(s). Let v(d) = -2*d**2. Give v(u(k)).
-882*k**4
Suppose 22*x + 6 = 25*x. Let n(w) = -8*w**2 + 3*w**2 + 9*w**x. Let f(h) be the second derivative of -7*h**3/6 - 2*h. Calculate n(f(z)).
196*z**2
Let l(a) = -659*a + 232*a + 160*a. Let t(h) = 6*h. Calculate t(l(x)).
-1602*x
Let q(v) be the first derivative of 0*v + 0*v**2 + 43 - 2/3*v**3. Let d(z) = -18*z. Give q(d(t)).
-648*t**2
Let v(f) = -3*f**2. Let g(p) = 244*p - 65. Let j be g(5). Let k(r) = -1155 + j - 39*r**2. Determine v(k(c)).
-4563*c**4
Let t be ((6/(-8))/(-1))/(12/32). Let f(g) = 206*g + 8*g**t - 206*g - 19*g**2. Let j(b) = -9*b. Give j(f(p)).
99*p**2
Let g(f) = 24*f**2 + 9*f - 9. Let w(h) = 6*h**2 + 2*h - 2. Let d = -17 - -26. Let t(l) = d*w(l) - 2*g(l). Let v(q) = -76 + 3*q**2 + 159 - 83. Calculate v(t(z)).
108*z**4
Let p(g) = 575562*g. Let h(u) = -1044*u + 2. What is p(h(k))?
-600886728*k + 1151124
Let q(r) = -2*r**2. Let t(c) = 3882170*c. Calculate q(t(o)).
-30142487817800*o**2
Let u(y) = -9011*y**2. Let v(b) = -40*b. Determine v(u(p)).
360440*p**2
Let k(z) = -661*z. Let q(a) be the third derivative of -a**5/60 - 548*a**2. Calculate k(q(b)).
661*b**2
Let x(z) = 190*z**2 + 5*z - 3. Let r(o) = -319*o**2 - 9*o + 5. Let m(n) = 3*r(n) + 5*x(n). Let a = 2 + -1. Let i(l) = 2*l - 1 + a. Calculate m(i(c)).
-28*c**2 - 4*c
Let p(l) = -4805*l**2 - 88 - 58 + 4801*l**2. Let w(y) = -y. Give p(w(u)).
-4*u**2 - 146
Let g(n) = n**2 + n - 3. Let y(x) = 4*x**2 + 5*x - 15. Let l(z) = -5*g(z) + y(z). Let v(p) = 3*p - 4*p - 3*p + 2*p. Give v(l(c)).
2*c**2
Let a = 272 - 148. Let r(y) = -a + 124 - y. Let n(w) = 84*w + 34. Let o(b) = 14*b + 6. Let h(l) = -6*n(l) + 34*o(l). Determine h(r(p)).
28*p
Let v(h) = -2*h. Let s(f) be the first derivative of -17*f**2/2 - 143. Let o(y) = 2*s(y) - 18*v(y). Let x(t) = 6*t + 2. Calculate o(x(l)).
12*l + 4
Let w(r) be the first derivative of 36*r**2 - 1518. Let j(d) = 3*d**2. What is w(j(u))?
216*u**2
Suppose 4*b - 5*c = 1591 + 2450, 5*c - 2013 = -2*b. Let u(q) = 2017 - b - 1008 - 3*q. Let h(a) = -12*a**2. Calculate h(u(t)).
-108*t**2
Let i(m) = -4*m + 27. Let o(j) be the first derivative of j + 1/2*j**2 - 28. Let z(s) = i(s) + 2*o(s). Let r(u) = -u. What is r(z(v))?
2*v - 29
Let u(r) = -17*r**2. Let n(l) = -38453*l**2 - 13*l. Determine n(u(c)).
-11112917*c**4 + 221*c**2
Let p(s) = 16*s**2 - 397*s. Let r(g) = -259*g. Calculate p(r(d)).
1073296*d**2 + 10282 | {
"pile_set_name": "DM Mathematics"
} |
ulate (-5)/(-8)*4/(-10).
-1/4
What is ((-90)/(-135))/((-4)/6)?
-1
Calculate (-5)/6*4/(-5).
2/3
Evaluate ((-7)/21)/((-14)/(-84)).
-2
What is the value of (-8)/(-48)*-3*-4?
2
What is the value of (4/5)/((-4)/60*6)?
-2
Evaluate (-9)/36*0*(-3)/(-6).
0
Evaluate (2/24)/(6/72).
1
Evaluate -6*2/(-6)*(-3)/2.
-3
(((-85)/(-2))/(-17))/5
-1/2
What is ((-1)/3)/(119/51)?
-1/7
Calculate (15/12)/(180/(-72)).
-1/2
9/21*(-266)/(-19)
6
Calculate 3/3*(-22)/(-33)*-6.
-4
What is (186/(-1488))/((-2)/(-24))?
-3/2
What is (-12)/8*(-8)/(-3)?
-4
What is ((-18)/(-72))/(3/8)?
2/3
What is the value of 4*3/(-21)*21/(-30)?
2/5
Calculate (3/(-105))/((-9)/30).
2/21
Calculate ((-3)/(3/(-1)))/((-10)/(-2)).
1/5
What is the value of (0/(2/1))/(1/1)?
0
1512/(-840)*(-10)/2
9
Calculate (20/(-60))/((-1)/9*-4).
-3/4
What is the value of (-77)/99*3/((-21)/(-2))?
-2/9
What is (38/57)/(1/(3/5))?
2/5
What is the value of (-5)/((-30)/8)*(-21)/(-14)?
2
Calculate 0/8*(-3)/6*1.
0
What is (-6)/3*4/(16/6)?
-3
What is (2*3/(-180))/(2/5)?
-1/12
What is 1*12/20*(-2)/(-3)?
2/5
What is (45/81)/(1/(30/125))?
2/15
Calculate ((-3)/6)/(3/12*-2).
1
Evaluate (4/6)/((-15)/(225/10)).
-1
2*(25/40)/((-3)/(-12))
5
What is (-13)/(-26)*2/(-4)?
-1/4
Calculate ((-4)/(-30)*3)/(92/(-230)).
-1
Calculate 6/4*(-1)/3*-4.
2
What is 10/(-70)*-1*(-2)/3?
-2/21
What is the value of (-3*3/(-6))/(8/(-48))?
-9
Evaluate (-27)/(-6)*(-3)/(-18).
3/4
What is the value of (13/(-26))/((-2)/(-4))?
-1
Calculate ((-11)/22)/(2*3/72).
-6
What is -9*-2*7/42?
3
What is ((-2)/12*2)/(4/36)?
-3
What is (-6)/6*3*(-4)/(-6)?
-2
Evaluate 105/(-28)*(-16)/(-12).
-5
Calculate ((-6)/36)/(15/(-36)).
2/5
Calculate ((-10)/40)/(5/4).
-1/5
What is the value of ((-6)/(-2))/(-132)*(-184)/(-69)?
-2/33
(14/(-4))/7*2/(-3)
1/3
Calculate ((-9)/9)/(-9)*1*9.
1
Evaluate (-10)/(((-5)/2)/((-60)/48)).
-5
What is the value of (-3)/(((-27)/48)/(51/(-68)))?
-4
What is ((-4)/(-26))/(((-21)/7)/3)?
-2/13
6/(-3)*(-2)/(-56)*-6
3/7
What is (-165)/(-110)*2/(-9)?
-1/3
What is (3/(-3))/(4/2)?
-1/2
What is the value of ((-2)/4)/((-15)/3)?
1/10
Evaluate ((-12)/7)/((-68)/34).
6/7
Evaluate 4*(-15)/20*1.
-3
What is the value of 30/140*-2*(-21)/(-6)?
-3/2
(7/((-7)/(-6)))/(3/(-2))
-4
What is the value of (-1)/(-1)*6/10?
3/5
(-2)/(12/(-6))*0
0
What is (-2)/(5/((-45)/6))?
3
Calculate 4/42*455/130.
1/3
What is the value of 2/12*34/(-17)?
-1/3
What is (-2)/(-35)*-1*(-15)/3?
2/7
-7*2/14*-3*1
3
Evaluate ((-2*1)/4)/((-43)/430).
5
What is the value of 1*(-25)/((-30)/(-6))?
-5
Calculate (42/(-245))/((-2)/28*6).
2/5
What is the value of (60/10)/(6/(-4))?
-4
(((-36)/27)/(1/3))/(-2)
2
What is the value of (-270)/(-27)*(-3)/(-10)?
3
Evaluate 2/(-3)*(-27)/(-36)*2.
-1
((-6)/4)/((-1)/(32/84))
4/7
Calculate ((-1)/(6/4))/((-390)/(-90)).
-2/13
Calculate (-26)/(-1001)*11*21/4.
3/2
What is (((-15)/1)/5)/((-84)/8)?
2/7
What is the value of (31/434)/(2/(-12))?
-3/7
(-28)/49*(-1)/2
2/7
Evaluate ((-8)/66)/((-10)/(-15)).
-2/11
What is the value of (-28)/8*54/63?
-3
What is ((-1)/3)/((72/(-6))/12)?
1/3
Calculate (-60)/675*(-5)/(-2).
-2/9
Calculate (-96)/(-48)*(-5)/6.
-5/3
What is -10*-5*10/(-375)?
-4/3
(-4*1)/((-10)/(-5))
-2
Calculate ((480/(-56))/(-10))/(16/7).
3/8
Calculate 7/7*(-1)/(-7).
1/7
(-4)/4*(-6)/3
2
Calculate (0/2)/((-3)/(3/(-4))).
0
What is the value of (-16)/(-112)*3/(-3)*-1?
1/7
What is the value of 11/(-110)*-12*5?
6
What is 50/(-15)*24/16?
-5
Calculate (14*1/2)/4.
7/4
Evaluate -4*5*5/(-25).
4
Calculate ((-57)/(-266)*7)/(3*3).
1/6
What is 1*(-20)/(-225)*3*5?
4/3
Evaluate ((-27)/(-12))/((-27)/(-72)).
6
What is 5/((2/(-2))/(-1))?
5
7/(-14)*(-20)/(-2)
-5
Evaluate (2/(-6)*1)/((-13)/(-234)).
-6
What is (2/(-4))/(-5*4/(-40))?
-1
Calculate (12/14)/((-27)/42).
-4/3
Evaluate 18/4*(-4)/6.
-3
What is the value of ((-8)/22)/(-4)*-2?
-2/11
((171/(-36))/(-19))/1
1/4
Calculate (-2)/((-8)/6)*8/(-54).
-2/9
Evaluate -1*-3*2/24.
1/4
Calculate (22/5)/(-16*13/(-520)).
11
((-358)/(-1969))/((-8)/(-110))
5/2
What is the value of 10/((-80)/(-6))*1/(-3)?
-1/4
What is the value of (11/33)/((-10)/(-4))?
2/15
What is the value of 234/(-78)*(-3)/(-54)*-2?
1/3
7*(-1)/98*-8
4/7
Calculate (-5)/5*(-1)/1*1.
1
Evaluate 40/(-5)*1*4/8.
-4
Evaluate -2*4/(-20)*15/(-3).
-2
((-8)/(-6))/((-64)/(-144))
3
What is ((15/6)/5)/((-15)/(-150))?
5
What is 5/26*16/20?
2/13
What is the value of ((-10)/(-4))/((605/11)/11)?
1/2
Evaluate (6*(-8)/900)/(4/10).
-2/15
What is the value of 16/128*16/2?
1
What is ((1/2)/(20/(-60)))/2?
-3/4
What is the value of 5*2/70*3/(-1)?
-3/7
Evaluate (910/(-117))/7*6/(-5).
4/3
What is (-5)/((2/12)/(2/12))?
-5
Calculate ((-22)/(-99))/((-2)/(-12)).
4/3
Evaluate 2/(-4)*(-3)/(-2).
-3/4
What is (-4*8/(-80))/((-24)/(-15))?
1/4
What is the value of 160/(-40)*(-1)/(34*1)?
2/17
Calculate (-59)/(472/(-48))*2/8.
3/2
What is -14*(3/((-9)/(-3)))/(-2)?
7
What is the value of (-7)/6*112/(-196)?
2/3
Calculate ((-330)/(-1925))/(2*(-2)/(-10)).
3/7
Calculate 100/(-180)*(-6)/5.
2/3
What is (5/10)/((-2)/(-4))?
1
Evaluate ((-36)/(-150))/((-12)/(-40)*-1).
-4/5
Evaluate ((-3)/(-6))/((-2)/72*-3).
6
Calculate 9/6*36/(-27).
-2
What is the value of 4/(-2)*105/(-252)*6?
5
What is (-2)/(-6)*-5*(-20)/(-50)?
-2/3
What is the value of (-12)/64*(-8)/12?
1/8
((-4)/6)/((40/(-15))/2)
1/2
What is the value of ((-44)/66)/((-4)/18)?
3
What is 1*7/((-14)/(-4))?
2
Calculate (4/(-6))/(16/120).
-5
Evaluate (6/85)/((-12)/(-20)).
2/17
What is (3/15)/(13/(390/21))?
2/7
What is (32/(-48))/(1/3)?
-2
Evaluate (-3)/4*(-4)/(-6).
-1/2
Calculate -2*(-2)/(-24)*8.
-4/3
What is the value of 1/((-1)/(-3))*2/6?
1
Evaluate (4/(-6))/((-232)/(-87)).
-1/4
Calculate (2/30)/((-5)/(-30)).
2/5
((-6)/(-40)*-2)/(51/(-34))
1/5
What is the value of 35/(-35)*(-1)/4?
1/4
(0/(-1))/((-52)/13)
0
((-1)/4)/(201/1206)
-3/2
Evaluate ((-32)/80)/(4/(-60)*3).
2
What is ((-120)/140)/((-3)/(-1))?
-2/7
What is 3*1/(-1)*2/3?
-2
Evaluate ((-7)/35)/((-2)/(-10)).
-1
What is the value of 16/(-4)*(-1)/(-8)*10?
-5
Calculate (10/(-25))/((-78)/(-65)).
-1/3
Calculate 18/15*(-3)/(-6).
3/5
Evaluate 90/(-144)*(-6)/5*-1.
-3/4
Evaluate (0/2)/(2/2).
0
(8/(-10))/((-68)/(-510))
-6
Evaluate 5/((-20)/(-16))*2/16.
1/2
Calculate ((-3)/(-4))/(39/(-104)).
-2
What is ((-4)/12)/((-7)/(-21))?
-1
What is the value of ((1*(-15)/(-2))/3)/(-3)?
-5/6
What is (-35)/(-189)*-3*(-2)/5?
2/9
0/1*39/78
0
What is the value of 1/6*-1*(-92)/23?
2/3
Evaluate 2/(-1)*(-17)/(-17).
-2
Calculate (442/663)/((-2)/(-15)).
5
What is the value of ((-58)/(-174))/((-2)/24)?
-4
What is the value of (30/35)/(6/(-4))?
-4/7
What is the value of ((-6)/3)/(6/(-9))?
3
Evaluate (-1)/((-60)/16)*25/(-10).
-2/3
Evaluate (-4)/42*14/(-6).
2/9
Evaluate (-3)/(-12)*6*(-3)/(-9).
1/2
(-3)/((-15)/(-4))*(-3)/(-3)
-4/5
22/(-33)*(-8)/(-16)
-1/3
What is the value of ((-7)/147)/(((-1)/(-6))/(-1))?
2/7
What is the value of (27/63)/(3/1)?
1/7
What is ((-30)/(-18)*-3)/(-1)?
5
(2/(-3)*-1)/(6/27)
3
Evaluate (36/(-63))/(1*30/(-5)).
2/21
What is the value of (-40)/(-60)*(-9)/21?
-2/7
What is the value of (18/(-15))/((-9)/30)?
4
(220/(-385))/((-2)/21*-1)
-6
Evaluate 12*((-14)/8)/(-7).
3
What is ((-4)/(-1))/((-66)/((-6)/(-2)))?
-2/11
(22/66)/((-1)/(-6)*-1)
-2
Evaluate 180/(-20)*(-1)/(-12).
-3/4
Calculate (-1*(-5)/(-1))/(-1).
5
Evaluate 12/1*(-2)/(-6)*-1.
-4
(-7)/(105/(-6))*15/(-27)
-2/9
Calculate (2/14)/((-25)/(-75)).
3/7
Evaluate 2/((-19)/((-266)/(-4))).
-7
What is ((4/(-2))/(-1))/((-80)/(-40))?
1
0/(((-1)/(-5))/((-9)/(-45)))
0
What is the value of ((-6)/(-1))/(-12)*6?
-3
Evaluate 1*-10*(-8)/(-16).
-5
Calculate ((-1)/7)/(1/(-1)).
1/7
What is ((-21)/14)/((-9)/(-4))?
-2/3
Evaluate (1/(-3))/((-38)/171).
3/2
-3*(-1)/((-27)/18)
-2
What is the value of 2*3/12*-1*6?
-3
Evaluate 54/(-243)*(-6)/1.
4/3
Evaluate ((-3)/(6/4))/(25/25).
-2
Evaluate (-4)/(-126)*3*(-306)/68.
-3/7
What is the value of 0/18*1/(-5)?
0
Evaluate (2*(-1)/((-4)/4))/(-5).
-2/5
Calculate 231/6*42/588.
11/4
Evaluate (-170)/204*(-6)/4.
5/4
Evaluate 1*(-3)/(-12)*(-624)/273.
-4/7
Evaluate ((-10)/14)/(-1)*7.
5
((-33)/242)/(9/12)*-22
4
Evaluate 2*(18/34)/(-9).
-2/17
What is the value of ((-222)/1036)/((-6)/14)?
1/2
Calculate (-18)/63*(-3)/6.
1/7
What is ((-1)/1)/(-1)*125/25?
5
Calculate -10*(-5)/40*(-4)/(-1).
5
What is the value of (6/2)/(-3)*0/2?
0
What is (-18)/60*(-8)/18?
2/15
Calculate (4/42)/((-84)/1176).
-4/3
What is ((-7)/(-70))/ | {
"pile_set_name": "DM Mathematics"
} |
2 + 1.
-542616
What is the third derivative of 10200*j**4 + 2*j**2 - 6664*j + 1?
244800*j
Find the third derivative of 18*d**3*v**2*x**2 - 5425*d**3*v*x**3 - 32*d**2*v**2 - 3*d**2 - 2*d*v**2*x**3 + 4*d*x**3 - d*x + 15*v**2*x**3 wrt d.
108*v**2*x**2 - 32550*v*x**3
What is the third derivative of u**2*w**4 + u**2*w**2 - 7627*u**2*w - 1327*u*w**4 + 2*u + 3*w**4 + 1 wrt w?
24*u**2*w - 31848*u*w + 72*w
Find the second derivative of 17*m**5*s**2 - 1449*m**5*s + 273002*m*s**2 wrt m.
340*m**3*s**2 - 28980*m**3*s
Find the second derivative of 421*r**5 + 23*r**3 + 82*r**2 - 16*r - 125310.
8420*r**3 + 138*r + 164
Find the second derivative of -4*h**2*j*t*w + 4*h**2*j*w**2 - h**2*t*w - 2*h*j*t*w**2 + 22*h*j*w - 240*j*t*w**2 - 17*w wrt w.
8*h**2*j - 4*h*j*t - 480*j*t
What is the second derivative of 2*s**5 + 1853*s**4 + 8*s**2 + 57653*s wrt s?
40*s**3 + 22236*s**2 + 16
Differentiate 28*z**2 - 2028*z + 99981.
56*z - 2028
Find the third derivative of -25*i**6 + 221*i**3 - i**2 + 79*i + 91.
-3000*i**3 + 1326
Find the first derivative of 1338305*s + 150485 wrt s.
1338305
Find the second derivative of -66679*o**4 + 11952*o.
-800148*o**2
What is the first derivative of 24*y**3 + 3289*y**2 + 34624?
72*y**2 + 6578*y
Differentiate -308*i**4 + 405*i + 141841.
-1232*i**3 + 405
Find the first derivative of 2*i*q**2 - i - 19*q**2*u**2 - 405*q*u**2 - 229223*u**2 wrt q.
4*i*q - 38*q*u**2 - 405*u**2
Find the third derivative of -528335*m**3 - 2335*m**2 + 24.
-3170010
Find the third derivative of 127692*i**6 - 4*i**2 + 1253*i - 4 wrt i.
15323040*i**3
Find the second derivative of 7401*r*y**2*z**2 + 30*r*y**2 + 7*r*y + r*z**2 - 3*r*z + 7*r + 1022*y - 2*z wrt y.
14802*r*z**2 + 60*r
Differentiate -30*h**2*l**2 - 60*h*l**2 + 98310*l**2 wrt h.
-60*h*l**2 - 60*l**2
What is the derivative of 954743*i + 1126409?
954743
What is the second derivative of -3*v**5 + 16*v**3 - 108*v**2 + 64228*v?
-60*v**3 + 96*v - 216
What is the third derivative of -8304*m**6 + 4*m**5 + 12*m**3 - 3695597*m**2?
-996480*m**3 + 240*m**2 + 72
What is the derivative of -30095*s - 78217?
-30095
Find the third derivative of 472*w**3 - 8*w**2 - 96 wrt w.
2832
What is the second derivative of -930225*d**3 - d**2 + 9*d - 63389?
-5581350*d - 2
Find the third derivative of -5*s**5 - s**4 + 12680*s**3 + 28737*s**2 wrt s.
-300*s**2 - 24*s + 76080
Find the second derivative of 1392504*r**2 + 895367*r.
2785008
Differentiate -23171*j - 50431.
-23171
What is the second derivative of -702175*l**3 + 570383*l?
-4213050*l
Find the third derivative of -1676*k**6 - 9*k**4 + 715*k**2 + 18*k + 2 wrt k.
-201120*k**3 - 216*k
Find the second derivative of 1135*b**2*m + 164*b**2 - b*m - 10*b + 692*m - 1 wrt b.
2270*m + 328
What is the derivative of -21956*s + 1997?
-21956
What is the third derivative of -24068*a**2*b**3 + a**2*b**2 + 13200*a*b**2 wrt b?
-144408*a**2
What is the third derivative of 10*d**3*p*y - 41*d**3*p - 2*d**3*y - 12*d**3 - d**2*p - 2*d**2 + 4*d*p + 34*d*y - 3*p*y wrt d?
60*p*y - 246*p - 12*y - 72
What is the first derivative of 241*g**4 - 7*g**2 - 6*g + 201913?
964*g**3 - 14*g - 6
Differentiate -82*f*n**3 + 2*f*n**2 - 4174*f + n**3 with respect to n.
-246*f*n**2 + 4*f*n + 3*n**2
What is the second derivative of -858*j**3*u - j**2*u + 2*j*u + 8241*u wrt j?
-5148*j*u - 2*u
Find the third derivative of -2*j*n**3 + j*n**2 - 8*j*n - 624*j - 666159*n**4 - 2*n**2 wrt n.
-12*j - 15987816*n
Find the second derivative of 25*j**3*z - 2*j**3 + 1037*j**2*z + 2*j**2 - j*z - 9*j + 72*z + 2 wrt j.
150*j*z - 12*j + 2074*z + 4
What is the second derivative of 152480*c**2 + 16*c + 3074 wrt c?
304960
Find the first derivative of 1320060*s + 775528 wrt s.
1320060
What is the third derivative of 169274*p**4 - 202569*p**2?
4062576*p
Differentiate 96005*z**2 + 14*z - 2274501 wrt z.
192010*z + 14
Find the third derivative of -17*f**4*o**2 + 372*f**4*o + 10*f**3*o - f**2*o**2 - 252*f**2 - 12*f*o**2 + 2*f wrt f.
-408*f*o**2 + 8928*f*o + 60*o
What is the second derivative of 1546733*y**2 + 793699*y?
3093466
What is the second derivative of 470602*n**2 + 2260400*n?
941204
Differentiate 31*c**4 - 826*c**3 + c + 2222.
124*c**3 - 2478*c**2 + 1
Find the second derivative of 80276*x**5 + 7*x**3 + 2*x**2 + 1272704*x wrt x.
1605520*x**3 + 42*x + 4
What is the second derivative of 133*h**4*s + h**2*s*t + 29*h**2*s - h*s - 8*h*t - 5*s*t + 5*s - 6 wrt h?
1596*h**2*s + 2*s*t + 58*s
What is the third derivative of 2*c**6 - 3550*c**4 - 3115*c**2?
240*c**3 - 85200*c
What is the third derivative of -96188*i**4 + 12318*i**2 - 5*i wrt i?
-2308512*i
Find the second derivative of 4*a**3*d*j - 10*a**3*d - a**3*j**2 - 15*a**3*j + 3*a**2*d*j**2 - 9*a**2*d*j - 1309*d*j**3 - 3*d*j wrt j.
-2*a**3 + 6*a**2*d - 7854*d*j
Differentiate 31900*d*n + 42834*d wrt n.
31900*d
What is the second derivative of -418*o**3*v + 145*o**3 + 2*o**2*v + 574*o*v + 4*o + 17*v - 17 wrt o?
-2508*o*v + 870*o + 4*v
Find the first derivative of 28880*w + 42006.
28880
Find the first derivative of -132*a**3 + 1170*a**2 - 548140 wrt a.
-396*a**2 + 2340*a
What is the first derivative of -2*a*b*q**3 + 378645*a*b*q**2 - 32*a*q**3 + 2*a*q**2 - 14581*a*q wrt b?
-2*a*q**3 + 378645*a*q**2
Find the second derivative of -12545*w**5 - 2*w**2 + 52521*w wrt w.
-250900*w**3 - 4
Find the second derivative of -160808*h**2 + 266098*h.
-321616
Find the third derivative of 3*k**6 + 45*k**5 - 82*k**4 + 3*k**2 + 6658 wrt k.
360*k**3 + 2700*k**2 - 1968*k
What is the third derivative of 809659*x**6 - 1037576*x**2?
97159080*x**3
Find the second derivative of -459697*f**4 + 4*f + 53534.
-5516364*f**2
What is the second derivative of 1250*r**3 + 14*r**2 - 35768*r - 2?
7500*r + 28
What is the derivative of 36668*h*p*v - 2*h*q*v + 2*h*q - 52*h + 16*p*q + 19*q*v + 3*q - 1 wrt p?
36668*h*v + 16*q
Find the third derivative of 499*f**4 - 39*f**3 - 1116*f**2 + f.
11976*f - 234
Differentiate -19297*g**3*q**3 + 21*g**2*q**3 + 2*q**3 - 2*q**2 + 3*q + 2421 with respect to g.
-57891*g**2*q**3 + 42*g*q**3
Find the second derivative of 64*h**2*j**3*m - 2*h**2*j + 14*h**2*m + 94*h*j - 304*j**3*m - j wrt j.
384*h**2*j*m - 1824*j*m
Find the third derivative of -24*l**4 - 81*l**3 - 6135*l**2 - 3*l + 2.
-576*l - 486
What is the first derivative of -52*b**4 + 76*b**2 + 35802?
-208*b**3 + 152*b
Find the third derivative of -232888*a**3*h + a**3 + 166*a**2*h - 2*a*h - 178*h wrt a.
-1397328*h + 6
Find the third derivative of 6*i*j**5 - 2*i*j**4 - 651*i*j**3 - 9022*i*j**2 + 3*i wrt j.
360*i*j**2 - 48*i*j - 3906*i
Find the third derivative of -3233*u*w**4 - u*w**3 + 230*u*w**2 + 151*u*w + 2*w**3 - w wrt w.
-77592*u*w - 6*u + 12
Find the second derivative of -21732*r**2 - 36*r - 975.
-43464
What is the second derivative of -117292*o**4 - 20005*o + 2 wrt o?
-1407504*o**2
Find the second derivative of 4*b**5*g**2 - 3375*b**4*g**3 + b*g**2 - 2*g**3 + 7636*g**2 wrt b.
80*b**3*g**2 - 40500*b**2*g**3
What is the third derivative of 13538*o**3*t - 45*o**2*t - 106*o**2 + 2*o*t wrt o?
81228*t
What is the derivative of 556296*i - 902600 wrt i?
556296
Find the third derivative of 471037*q**3*x**3 - 7*q**3*x**2 - q**3 - 3306*q**2*x - 2*q wrt x.
2826222*q**3
Find the second derivative of -116*a**2*m*y**2 - 2*a**2*y**2 + 168*a**2 + 2*a*y**2 - 19*a - 29*m*y**2 - 2 wrt a.
-232*m*y**2 - 4*y**2 + 336
What is the third derivative of 2*n**5 + 3412*n**4 + n**3 - 62426*n**2 wrt n?
120*n**2 + 81888*n + 6
Differentiate 61454*l**3 - 45242 with respect to l.
184362*l**2
Find the first derivative of -239*h*l**3 - 27*h + 2644*l**3 wrt h.
-239*l**3 - 27
What is the second derivative of n*q**3*x**2 - 2198*n*q**3*x - 7*n*q*x**2 - 2192*n*x**2 - 3*q**3 wrt x?
2*n*q**3 - 14*n*q - 4384*n
What is the derivative of -2*m**3 + 13885*m**2 - 31528?
-6*m**2 + 27770*m
Differentiate 56329*k*s**3*x + 14*k*s*x**2 - 403*s**3 - 14*s**2 - 12*x**2 wrt k.
56329*s**3*x + 14*s*x**2
Find the third derivative of 94400*s**6 + 7*s**2 + 9999*s + 3 wrt s.
11328000*s**3
Differentiate 366963*j - 2605321 wrt j.
366963
Find the third derivative of 789474*d**5 + 3339*d**2 - 1 wrt d.
47368440*d**2
What is the third derivative of 45276*a**3 + 18380*a**2 wrt a?
271656
What is the third derivative of -466018*o**3 + 4*o**2 - 16*o + 224?
-2796108
Differentiate 9*k**3 + 2371*k**2 - k + 99310 wrt k.
27*k**2 + | {
"pile_set_name": "DM Mathematics"
} |
1 and z.
66
Find the common denominator of -43/7 and (-5)/25 + (-84)/405.
189
Let v be (-4)/114*(-3)/16. Let m = 2051/152 + v. What is the common denominator of m and 39/14?
14
Let t = -31 - -16. Calculate the common denominator of -83/10 and t/(-1 + 1 + 2).
10
Calculate the lowest common multiple of 71/7 + 1/(-7) and 6.
30
Let v(l) = -l**3 - 3*l**2 - l + 3. Let s be v(-3). Suppose 2*x - 2*g = 40, -g - s + 4 = 0. What is the lowest common multiple of 8 and x?
72
Let g(s) = 6*s - 6. Let m be g(7). What is the least common multiple of m/(-48) - 43/(-4) and 22?
110
Let d be 2 + 3 + (-1 - 1). Suppose d*y + y - 80 = 0. Let k(j) = 7*j**2 + 1. What is the least common multiple of y and k(-1)?
40
Let d = 2645/11 + -236. Find the common denominator of d and -68/3.
33
Suppose c - 5 = -1. Let k(z) = -2*z**2 - 2*z. Let a be k(c). Find the common denominator of 149/12 and (0 - 0) + 268/a.
60
Suppose 0 = -2*f + 38 + 28. Calculate the lowest common multiple of f and 24.
264
What is the common denominator of 97/28 and 10/(-32)*(4 - 49/5)?
112
Let o(r) = -6*r + 2. Suppose -3*a + 5*m = -3 - 17, a = -m + 4. Let y be o(a). Let p = -14 - y. Calculate the smallest common multiple of 20 and p.
140
Let b be 3/2 - 3/(-6). Let c be ((-40)/35)/(19*b). Let n = c + -3825/1064. Find the common denominator of n and 73/6.
24
Calculate the smallest common multiple of 24 and 7 + (-2 + 6)*(-1)/4.
24
Let s = -1075/322 - -9/46. Let b = 5223/4 + -1295. Find the common denominator of s and b.
28
Let n(g) = -2*g - 6. Let v be n(-4). Suppose b - 1 = -2, 2*f + 5*b + 71 = 0. What is the common denominator of (1/14)/(v/(-188)) and f?
7
Calculate the common denominator of 1/2*83/(-6) and 83/2.
12
Find the common denominator of (-114 - -13)*1/2 and 1/11.
22
Let j = -131 + 920/7. Find the common denominator of -87/4 and j.
28
Suppose 0 = -5*u + 20, -17 = -2*b - 5*u + 85. Find the common denominator of b and (90 + -3)/(-3 - -5).
2
Let t = 6 + 0. Calculate the smallest common multiple of 24 and t.
24
Let f = -1 - -3. Suppose -2*i - 2*i = -5*z - 65, -f*z = i. Calculate the lowest common multiple of (-6)/4*28/(-7) and i.
30
Let f be ((-4)/8)/((-3)/12). Suppose 9*i - 4 = 4*i - f*l, -i + 2*l + 8 = 0. Calculate the smallest common multiple of i and 4.
4
Let a = 55/8 - 217/24. Let s = -404709/40984 + -1/5123. Calculate the common denominator of s and a.
24
Let w(k) = -81*k**3 - 3*k**2 - 3*k + 4. Let t be w(-3). Let v be ((-65523)/6)/(15/(-3)). Let o = t - v. Calculate the common denominator of -49/6 and o.
30
Let k be 1/(-3)*(-12)/2. What is the common denominator of (k + -33)*2/(-8) and 61/12?
12
Let x be -1 + 1 - -5 - 2. Suppose b + b - d + 71 = 0, x*b + 3*d = -93. Calculate the common denominator of -10 and (b/30)/((-3)/9).
5
Calculate the common denominator of -55/104 and (235/25)/(4/5).
104
Let m = 4105/2536 + 2/317. What is the common denominator of m and 37/12?
24
Let p = -13894 - -7903. Let u = 131827/22 + p. Find the common denominator of 7/12 and u.
132
Suppose -3*t + 6*t = -3. Let q = 7 - 29. Calculate the smallest common multiple of 1 + t - 0 - q and 16.
176
Suppose -2*d - 5860 = 4*t, -d - 2*d - 3*t = 8778. Let g be 2/d*(-90083)/10. Let n = 2/2435 + g. Calculate the common denominator of n and -20.
6
Suppose 0 = -3*o - 2*m + 24, -8 = -o + 9*m - 5*m. Suppose w + 1 = 13. Calculate the lowest common multiple of o and w.
24
Let h(r) = r**3 - 3*r**2 + r + 3. Let c be 93 - (-9)/(-4 - -1). Suppose 5*v + 2*x = c, 23 + 12 = 2*v + x. What is the lowest common multiple of v and h(3)?
60
Let j = -6789/8 - -859. Find the common denominator of ((-42)/(-32))/(12/20) and j.
16
Calculate the common denominator of 131/6 and 2514/52 - (-4)/26.
6
Let x = 33 + -12. Calculate the common denominator of -19/7 and (-44)/7 + (-6)/x.
7
Suppose 5*t + 15 = 2*t. Let f(h) = h + 7. Suppose -p = -5*j + 4*p - 10, 2*j + 4*p = 14. Calculate the smallest common multiple of f(t) and j.
2
Suppose 0 = 14*g - 15*g + 1. Calculate the least common multiple of 8 and g.
8
Suppose 440 = 3*y - 4*s, 2*y - 7*y + 738 = -2*s. Suppose 2*u + y = -4*q - 2*u, 2*q - u + 65 = 0. Find the common denominator of -21/16 and q/(-4)*(-20)/(-8).
16
Let k(u) = u**2 - 3*u - 7. Calculate the lowest common multiple of 4*(-2)/(-10) - (-63)/15 and k(5).
15
Let u = 8 + -4. Suppose -3*t - 1 = m, -5*m + 23 = -u*m - 5*t. Calculate the smallest common multiple of m and 4.
8
Suppose 5*s - w - 7 = -2*w, -4*s - 4*w + 12 = 0. Calculate the common denominator of -3/8 and 87/24*-1 - s.
8
Suppose -3 + 15 = -4*m, 0 = 5*v - 4*m - 112. Calculate the least common multiple of 12/5 + (-2)/5 and v.
20
Let l = 591 - 5919/10. Find the common denominator of l and ((4/(-50))/((-44)/(-3245)))/(-2).
20
Suppose 3*s - 7*y = -3*y + 44, -4*s + 5*y = -60. Calculate the least common multiple of s and 4.
20
Suppose 3*j - 3*t - t = -15, 2*j - 7 = -3*t. Find the common denominator of j*(1 - 141/(-15)) and -101/10.
10
Let w = 7 + -9. Calculate the lowest common multiple of 4 and 8/(-1 + (-4)/w).
8
Let s be 94377/2256732*75711/(-2). Let f = s - 9/62687. Let r = f - -1580. Find the common denominator of 37/10 and r.
40
Suppose 4*z - 13 - 31 = 0. Let b(q) = -q**3 - 6*q**2 - 7*q - 4. Let t be -1 + (-1 - 2 - 1). Calculate the smallest common multiple of b(t) and z.
66
Suppose -3*d - 5 = -4*o, -2*d + 3*o - 10 = -6*d. Calculate the smallest common multiple of 10 and d.
10
Suppose 7*d + 6 = 10*d. Let u(c) = c**3 + 5*c**2 - 3*c - 1. Let v be 74/(-14) + 2/7. What is the lowest common multiple of d and u(v)?
14
Suppose 14 + 4 = 2*q - c, 2*q + 5*c = -6. Calculate the least common multiple of 24/(-40) - 33/(-5) and q.
42
Let s be 3 + (-57644)/(-72) + 3. Let a = -800 + s. Calculate the common denominator of -19/16 and a.
144
Suppose -4*o = 417 - 4425. Suppose o = 2*n + 2586. Find the common denominator of (-716)/n - (-4)/(-22) and -35/22.
198
Let s be 2/(-3) - 62558/24. Let h = s - -114913/44. Find the common denominator of -63/2 and h.
22
Calculate the lowest common multiple of 3 + (-3)/6*2 and 1 - (2/(-1) - 2).
10
Suppose -2*d + 7 = -x + 1, -5*x - 10 = 0. Suppose -4*k - 3*r + 153 = 0, -4*k + 4*r = 2*r - 138. Let q = k - 16. What is the least common multiple of q and d?
20
Calculate the common denominator of 2233/(-66)*(-4)/21 and -1/11.
99
Calculate the common denominator of 12/16*13 - 0 and 49/10.
20
Let z be (4/8)/((-754)/(-24)). Let m = -15146/4147 + z. What is the common denominator of m and -1/9?
99
Suppose 10 + 10 = p - 4*k, -3*p = -5*k - 39. What is the least common multiple of p and 20?
40
Suppose -445 = 3*u + 92. Let j be (2487/4)/((-216)/(-64)). Let o = u + j. Calculate the common denominator of o and -19/10.
90
Let u(i) = 9*i**2 - 2*i - 4. Let j be u(6). Calculate the common denominator of j/24 - 2/8 and 29/9.
36
Suppose -5*o + 0*o + 40 = 0. What is the smallest common multiple of o and 4?
8
Let z(f) = 55*f**3 + 4*f**2 + f - 2. Let d be z(-2). Calculate the common denominator of 89/10 and ((-1)/(-8))/((-5)/d).
10
What is the common denominator of 9 and (2 - 6) + 1568/436?
109
Let u = 107163/16 + -6700. Find the common denominator of -89/204 and u.
816
Let n = -6156 - -98527/16. Calculate the common denominator of n and 37.
16
Let x(k) = k**2 + 12*k - 1. Let p be x(-5). Calculate the common denominator of (-1 + p/(-33))*42 and -10/11.
11
Let t(w) = w**3 + 5*w**2 - 12*w + 5. Let f be t(10). Let b = f - 12448/9. Find the common denominator of 93/10 and b.
90
Suppose 0 = 3*q - 5*p - 5 - 10, q + 3*p = 19. What is the lowest common multiple of q and 12?
60
Suppose c - 5*v - 10 = -0*c, -1 = v. What is the least common multiple of c and 9?
45
Let x be (-18)/(-4)*4/(-6). Let t(f) = f**2 - 5*f + 6. What is the least common multiple of t(6) and (x - (-3 - -2))*-6?
12
Suppose -i = 3*i - 3564. Let z = i + -14243/16. Find the common denominator of z and 95/14.
112
Let r(g) = g**3 - 8*g**2 + 14*g - 7. What is the smallest common multiple of r(6) and 7?
35
Let i = 21 + -21. Suppose q = 10 - i. What is the least common multiple of 30 and q?
30
Let k(q) = q**3 - 7*q**2 - 7*q - 1. What is the smallest common multiple of 4 and k(8)?
28
Let u be 20/(-171)*284/(-8). Let f = u + 4/57. Calculate the common denominator of f and (4 + 13)*6/22.
99
Let s be (24/(-15) + 2)*5. Find the common denominator of -81/16 | {
"pile_set_name": "DM Mathematics"
} |
d the second derivative of -3952*g**2*m**2 + 2*g**2*m - 16*g**2 + 184*g*m - 2*g - m**4 wrt m.
-7904*g**2 - 12*m**2
Find the second derivative of -130*d**5 + 3*d**2*r**2 - 114*d*r - 3*r**2 wrt d.
-2600*d**3 + 6*r**2
What is the third derivative of -57*t**6 - 2*t**2 + 91?
-6840*t**3
What is the derivative of 2*s**2 + 870*s + 448?
4*s + 870
What is the third derivative of -1386*b**3 - 9594*b**2 wrt b?
-8316
What is the second derivative of -585*f**4 + 920*f + 6 wrt f?
-7020*f**2
Find the third derivative of -3*x**6 - 558*x**4 + 2558*x**2 wrt x.
-360*x**3 - 13392*x
What is the first derivative of j**2 + 2854*j - 10374 wrt j?
2*j + 2854
Find the second derivative of 2*m**5 + 95*m**3 - 60*m wrt m.
40*m**3 + 570*m
Find the third derivative of 535*s**5*z**2 + s**5*z + s**2*z**2 - 4*s**2*z - 29*s*z wrt s.
32100*s**2*z**2 + 60*s**2*z
What is the second derivative of -22*b*d**3*o**2 - 8*b*d**3 + 3*b*d**2*o**2 - 31*d**3*o - 4*d**2*o**2 wrt o?
-44*b*d**3 + 6*b*d**2 - 8*d**2
What is the second derivative of -663*h**3 + 176*h wrt h?
-3978*h
What is the second derivative of 1452*v**2 + 1172*v?
2904
Find the third derivative of 588*c**4 - 7*c**3 - 479*c**2 - 9.
14112*c - 42
Differentiate 8*m**3*x**2 - 3*m**3 + 1036*m**2 + m*x**3 - 6*x**4 with respect to x.
16*m**3*x + 3*m*x**2 - 24*x**3
What is the derivative of -8*l**2*s**3 + 6*l**2*s**2 - l*z + 11*s**3*z - 3*s**2*z + z wrt l?
-16*l*s**3 + 12*l*s**2 - z
What is the third derivative of 722*a**3*f**2*p**2 - 3*a**3*f*p**3 - a**2*f**2*p**3 + 21*a**2*p + 6*f**2 wrt a?
4332*f**2*p**2 - 18*f*p**3
Find the third derivative of 6058*p**5 - 5581*p**2 wrt p.
363480*p**2
Find the third derivative of j**3*s*t**3 - 2*j**3*s*t**2 + 25*j**3*s + 118*j**2*t**3 - 4*j*s + 2*s*t**3 - 2*t**2 wrt j.
6*s*t**3 - 12*s*t**2 + 150*s
Find the third derivative of -90*w**5 - 39*w**4 - 17186*w**2.
-5400*w**2 - 936*w
Find the second derivative of -51*b**4 - 78*b wrt b.
-612*b**2
What is the third derivative of 16583*c**3 + 869*c**2 - 8*c?
99498
Find the second derivative of 235*c**4 + 2*c**3 - 10*c**2 - 23821*c wrt c.
2820*c**2 + 12*c - 20
Find the third derivative of -798*b**6 + 72*b**2 + 3 wrt b.
-95760*b**3
What is the third derivative of 2*d**2*m**2*x**2 + 72*d**2*m**2 + d**2*x**3 - 42*d*m**2*x**3 + 5*d*m*x**2 wrt x?
6*d**2 - 252*d*m**2
What is the derivative of 208*p**2 - 2*p + 2603 wrt p?
416*p - 2
What is the derivative of -8*t**4 + t - 5952?
-32*t**3 + 1
Differentiate 33*o*u - u - 12 with respect to o.
33*u
What is the derivative of i*m**2 - 5*i*m*t + 3*i - 66*m**2*t wrt i?
m**2 - 5*m*t + 3
Find the third derivative of 6371*p**4 - 2*p**3 - p**2 + 2*p - 2689 wrt p.
152904*p - 12
What is the derivative of -86*c**3 + 2*c + 315 wrt c?
-258*c**2 + 2
Differentiate 1641*i**3 - 1847 with respect to i.
4923*i**2
Differentiate -3*h**3 - h**2*w**3 + h*w**3 - 64*w**3 with respect to h.
-9*h**2 - 2*h*w**3 + w**3
Differentiate -14*a**2*j*l**3 - 7*a**2*j - a**2*l**3 + 11*a**2*l**2 - 42*a**2 + 5*a*j*l wrt j.
-14*a**2*l**3 - 7*a**2 + 5*a*l
Differentiate 5977*m*v**2*z - 6*v**2 + 565*v*z wrt m.
5977*v**2*z
What is the third derivative of 4*j**6*x**3 + 17*j**6*x**2 - 4*j**2*x**2 - 17*x**3 wrt j?
480*j**3*x**3 + 2040*j**3*x**2
What is the derivative of 37*c**2 - c - 557?
74*c - 1
What is the derivative of 5*j*k*m*w**2 + 6*j*k*m*w + j*w**3 + 5*j + 2*k*w**2 + 2*k - 2*m*w**3 wrt m?
5*j*k*w**2 + 6*j*k*w - 2*w**3
Find the third derivative of 4*s**4*t**2 + 37*s**4 + 4*s**2*t**2 - 3*s**2 + 4*t wrt s.
96*s*t**2 + 888*s
What is the second derivative of -5*f**5 + 76*f**3 + 17*f - 29?
-100*f**3 + 456*f
What is the third derivative of 1743*a**6*z + 6*a**2*z - 24*z wrt a?
209160*a**3*z
What is the first derivative of -93*h**3 - 17*h**2 - 16568 wrt h?
-279*h**2 - 34*h
What is the first derivative of -307*h**4 - 3*h**2 + 253 wrt h?
-1228*h**3 - 6*h
Find the third derivative of -90*k**4 - 2*k**3*r + k**3 + k**2*r + 1131*r wrt k.
-2160*k - 12*r + 6
What is the second derivative of -29*g**3*k*u**2 - 3*g**3*k - 13*g**2*u + 2*g*k**2 - 2*k**2*u**2 wrt u?
-58*g**3*k - 4*k**2
What is the first derivative of -3*q**2 - 51*q + 81?
-6*q - 51
Find the third derivative of -225*q**3 + 79*q**2.
-1350
What is the third derivative of 7*n**3*s**3 + 13*n**3*s**2 - n**2*s**3 + 4*n**2*s**2 - n**2 wrt s?
42*n**3 - 6*n**2
What is the second derivative of 450*g*n**2*z**2 + g*n**2 - g*n*z + 2*g*z**2 + n**2*z - 2*n*z**2 + 39*z wrt z?
900*g*n**2 + 4*g - 4*n
Find the third derivative of -845*u**6 + 2*u**2 - 71.
-101400*u**3
Find the third derivative of 11741*p**3 + 20*p**2 + 407*p wrt p.
70446
Find the second derivative of m**2*v**2 - 374*m**2*v + 25*m + 8*v**2 + 3*v wrt m.
2*v**2 - 748*v
What is the third derivative of -169*d**3 + d**2 + 10*d?
-1014
What is the second derivative of 3*i**4 + 33*i**3 - 2*i + 23 wrt i?
36*i**2 + 198*i
What is the derivative of m**2*q**2 - 68*m**2*q*u + 2*m**2 - 2*m*q**2*u + 8*m*u wrt q?
2*m**2*q - 68*m**2*u - 4*m*q*u
Find the second derivative of 5*i*l**2*x**3 + 2*i*l*x - 3*i*x**4 - 2*i*x**2 - i + 30*l**2*x wrt x.
30*i*l**2*x - 36*i*x**2 - 4*i
Find the second derivative of -c**3 - 1254*c**2 - 9*c - 110 wrt c.
-6*c - 2508
Find the third derivative of 1533*k**4*u + k**2*u + 73*k*u wrt k.
36792*k*u
What is the second derivative of 774*r**5 - 2*r - 37?
15480*r**3
Find the second derivative of -975*l**3 + 2*l**2 + 83*l + 38 wrt l.
-5850*l + 4
Find the third derivative of 16356*b**4 + 910*b**2.
392544*b
Find the second derivative of -4*g**4*o - g**3*o**3 - 61*g*o**2 - 4*g*o - 2*o**3 wrt g.
-48*g**2*o - 6*g*o**3
What is the third derivative of 110*s**3 - 18*s**2 - s?
660
What is the second derivative of -228*o*p**2*r + o*p**2 - 2*o*p*r**3 - p**2*r**3 + 87*p*r**2 wrt p?
-456*o*r + 2*o - 2*r**3
Differentiate 7*k*p**3*r + 20*k*p**2 + 112*k*p*r - p**3 + 2*r with respect to r.
7*k*p**3 + 112*k*p + 2
Differentiate -4*k**3*v + 350*k**3 - 14*k**2*v**4 with respect to v.
-4*k**3 - 56*k**2*v**3
What is the third derivative of m**4 - 1866*m**3 + 920*m**2?
24*m - 11196
What is the second derivative of -3*z**3 - 13*z**2 - 1683*z wrt z?
-18*z - 26
What is the second derivative of -2*g*h**3 - 3*g*h**2 + 14*g*h - g + 75*h**2 - 53*h wrt h?
-12*g*h - 6*g + 150
What is the second derivative of 5263*q**5 + 1042*q?
105260*q**3
What is the second derivative of -3950*s**3 + 5190*s?
-23700*s
Find the third derivative of 131*r*s**3*w**3 - 43*r*s**3 + 2*r*s - 2*r*w**3 + 4*r*w**2 + 2*r + w**3 wrt w.
786*r*s**3 - 12*r + 6
What is the first derivative of 44*m**4 + 2*m + 3 wrt m?
176*m**3 + 2
What is the second derivative of 3*f**3*p**2*z - 12*f**2*p*z + 2*f*z - 5*p**2*z + p*z wrt f?
18*f*p**2*z - 24*p*z
What is the second derivative of -2*k**2*s**2*z**2 - 5*k**2*s*z + 2*k**2*s + 275*k*s**3*z**2 + 110*k*z**2 wrt s?
-4*k**2*z**2 + 1650*k*s*z**2
What is the second derivative of 71*b**3*j**2 - 6*b**2*j**3 + b**2*j**2 + b*j**3 - 264*j**3 wrt b?
426*b*j**2 - 12*j**3 + 2*j**2
What is the derivative of 5*l**2*n - 143*l**2 - 68*n + 6 wrt l?
10*l*n - 286*l
Differentiate 14*v**3 - 151*v**2 + 19711 wrt v.
42*v**2 - 302*v
Differentiate -127*g**4 + 52 with respect to g.
-508*g**3
Find the first derivative of 92*c**3*h**3 - 1519*c**3 - 4*c*h**3 wrt h.
276*c**3*h**2 - 12*c*h**2
What is the derivative of -7*s*t**3 - 6*s*t*z - 5*s*v*z + t**3*z - 41*t**2*z + 2*t*v*z wrt s?
-7*t**3 - 6*t*z - 5*v*z
Find the second derivative of -1197*h**5 + h**3 + 3411*h.
-23940*h**3 + 6*h
What is the second derivative of -323*g*i**2 - 6*g*i - 9*g wrt i?
-646*g
What is the second derivative of 15879*i**2 - 12116*i wrt i?
31758
What is the third derivative of -601*b**4 + 1446*b**2 - 1 wrt b?
-14424*b
What is the third derivative of 111*v**4 + 2*v**3 - 288*v**2 wrt v?
2664*v + 12
Find the second derivative of -450*w**5 - w + 94.
-9000*w**3
Find the third derivative of -2*j**3*m**2 + 937*j**3*m + j**2 + 189*m**2 wrt j.
-12*m**2 + 5622*m
What is the second derivative of 2*a**3*b*r - a**3*r**2 + a**2*b*r**3 - a**2*r + 32*b*r**3 - 310*b*r wrt r?
-2*a**3 + 6*a**2*b*r + 192*b*r
What is the third derivative of -58*c*r**3 + 9*c*r - 4*c - 3*r**2 wrt r?
-348*c
What is the first derivative of -3*a**3*k**3*o + a**3*k**2*p - 2*a**3*k - 16*a**3 + 2*a*o + 4*k**3*p + 34*k**2*o*p wrt p?
a**3*k**2 + 4*k**3 + 34*k**2*o
Find the second derivative of -2*u** | {
"pile_set_name": "DM Mathematics"
} |
st to -8.729 in 3/7, -0.2, -0.11, -0.1, -0.08?
-0.2
Which is the nearest to -18/11? (a) 0 (b) -263233 (c) -0.4 (d) -1
d
What is the closest to 18 in -14, 0.8, -5?
0.8
Which is the nearest to -0.3? (a) 1.3821 (b) -0.1 (c) -5 (d) 2.5
b
Which is the nearest to -1? (a) 0.1 (b) 0.045 (c) -4/7 (d) -1/577 (e) -3
c
What is the nearest to 0.2 in 8/37, -1004, 1/2, 3, -2, -2/9?
8/37
Which is the closest to 8/7? (a) 4 (b) -5 (c) 0.03 (d) 706 (e) -4/7 (f) 0.9
f
What is the closest to -2/11 in -16, 1293, -0.3?
-0.3
What is the nearest to -1/9 in 189, -3/4, 1/6, 2.4?
1/6
Which is the closest to -867? (a) 2 (b) -1/4 (c) -0.1 (d) 2.03
b
What is the nearest to -304 in 0.4, 36, 2/7, 0.2, -5?
-5
Which is the nearest to -1? (a) -197 (b) -66 (c) 4 (d) -0.5 (e) 54
d
Which is the closest to 2? (a) 0.5 (b) -69 (c) 554 (d) -0.5 (e) -2/5
a
Which is the nearest to 14/15089? (a) 3 (b) -0.4 (c) 0 (d) 1/2 (e) -4/7
c
Which is the nearest to -1/2? (a) 4/7 (b) -396.1 (c) -0.2 (d) -0.3
d
Which is the closest to 22? (a) -1/8 (b) 12 (c) -68 (d) 2/15
b
What is the closest to 4 in 4, 524, -2/13, -0.4?
4
What is the closest to 0.04 in 2.7, 2, -28.86?
2
What is the nearest to 0.3 in -2/17, -6, -63/5?
-2/17
Which is the closest to 0.2? (a) -0.5 (b) -903.7 (c) -22.8 (d) -1/7
d
What is the nearest to -1/1122 in 1, 5707/5, 0.04, 4?
0.04
What is the nearest to 2 in -45, 9, 0, -6/5, 100, -4?
0
Which is the closest to -14/33? (a) -0.43 (b) 4/9 (c) -2/5 (d) 3/8
a
Which is the closest to -3/5? (a) -1.7 (b) 3138 (c) 2
a
Which is the nearest to 0.1? (a) -27 (b) 0 (c) 3/10 (d) 116 (e) -2 (f) -6/13
b
Which is the nearest to 1/2? (a) -2/11 (b) 2 (c) -3/19 (d) 2/113 (e) 0.461
e
Which is the nearest to 1/3? (a) 3 (b) 5 (c) -1.2 (d) -6.4 (e) 0.79
e
Which is the nearest to 5? (a) -2/15 (b) -4 (c) -54/35 (d) -5 (e) 5
e
Which is the nearest to -1182? (a) -5/413 (b) 0.08 (c) 1
a
Which is the nearest to -1? (a) 3 (b) 18 (c) -43 (d) 3/22 (e) -1
e
What is the closest to 0.2 in 0.5, -2/5, -0.01, 2/15, -180?
2/15
Which is the closest to 5? (a) 256 (b) 2/9 (c) -0.0606 (d) -6
b
What is the closest to -1 in 312, -19, 0, 12?
0
What is the closest to -1.4 in 6, 34, -0.3, -0.1, 3.5?
-0.3
What is the nearest to -210 in 2/2927, 0.1, 8.5?
2/2927
Which is the nearest to 1/4? (a) -14 (b) -1/3 (c) -3/5 (d) -2 (e) 2/13 (f) 8/13
e
What is the nearest to -3 in 0.4, 19306, 1197?
0.4
Which is the nearest to 1/2? (a) 4 (b) -5767 (c) -9 (d) -3/5
d
What is the nearest to 26 in 731, 42, 1?
42
Which is the closest to 5? (a) -2.1 (b) 7/5 (c) 2/13 (d) 1/6 (e) -4/5
b
What is the nearest to -2539 in -838, 0, -3?
-838
What is the nearest to 1/7 in 0.1, 2048, -7, -1, -5/2?
0.1
Which is the nearest to -3? (a) 0.043 (b) 1/2 (c) -2/15 (d) 7 (e) 13.9
c
What is the nearest to -1 in -4, 3/7, 1.79, 0.087, 0.4?
0.087
Which is the nearest to -1/18? (a) -1/2 (b) 1 (c) -45/8 (d) 0
d
Which is the nearest to 149.3? (a) 7/6 (b) 0.1 (c) 0.2 (d) 4 (e) 0.4 (f) -15
d
What is the nearest to 0 in 2, -209, 4, 2/15?
2/15
What is the nearest to 23.2 in -0.5, -197610, -0.3?
-0.3
Which is the nearest to -0.3? (a) 2/9393 (b) 0 (c) 103
b
Which is the closest to -0.1? (a) 2/28841 (b) 4 (c) 6/5 (d) -13
a
What is the nearest to -0.1 in -6404, -1, 0.4, -93?
0.4
What is the nearest to -67 in 57, 2/5, -1/3, -30?
-30
What is the nearest to -641 in 1/2, 1/4, 0, 83/5, 5?
0
What is the closest to 246 in 0, 6, 0.5, 0.1, -13?
6
Which is the nearest to -0.1? (a) -1.9 (b) 7 (c) 1 (d) -2/21 (e) -17
d
What is the closest to -1/2 in -652, -2/51, 1/17?
-2/51
Which is the nearest to 33021? (a) 0 (b) -0.4 (c) 12 (d) 4
c
What is the nearest to -1/42 in -2, -749/5, 9, -1/2?
-1/2
Which is the nearest to -2/3? (a) 8/239 (b) 300 (c) -2/7 (d) -1
d
Which is the nearest to -57? (a) -6/5 (b) -182 (c) 3
a
Which is the nearest to -2? (a) 3890/7 (b) 1 (c) 0.14 (d) -0.5
d
What is the nearest to 2763/56 in -5, -3, 1/32?
1/32
Which is the nearest to 0.8? (a) -1 (b) 0.02 (c) 0 (d) 0.05 (e) -1019/4
d
What is the nearest to -1/2 in -2, 7, -1/3, -0.0639, 0.01?
-1/3
What is the nearest to 0.0482 in -0.4, -141, 3/2, 5, 0.3?
0.3
What is the closest to -0.1 in -3, 17, 325, -5?
-3
Which is the closest to -0.1? (a) -2 (b) 0.3 (c) 235519 (d) -134
b
What is the nearest to -2 in -1, -40, -6413?
-1
What is the nearest to 7.6 in 7, -0.31, 0.431?
7
What is the nearest to -0.1 in -6, 1/13, -18, 1473, -4?
1/13
What is the closest to -2/3 in -0.5, 1/5, 0.4, 93.4, -2/31?
-0.5
What is the nearest to 4/7 in -5/53, 514, 2/9, 5?
2/9
What is the closest to -3 in 0.2, -1.7, 4/7, 4/13, -7?
-1.7
Which is the nearest to -3? (a) 0.5 (b) -543/7 (c) 1.1 (d) -4
d
What is the nearest to -2 in -0.2, 3, -56/3, 2/11, -2/5?
-2/5
What is the closest to -7 in 440, -1.9, -11/89, 2/11?
-1.9
Which is the closest to -78? (a) 4 (b) 2/5 (c) -0.1 (d) 1 (e) -13
e
Which is the nearest to 1? (a) 0.4 (b) -0.06 (c) 2/19 (d) -2/5 (e) -5/8
a
What is the nearest to -464 in -2/7, -0.4, 171?
-0.4
Which is the nearest to -1? (a) -0.1 (b) -2721 (c) -2/127 (d) 6
a
What is the closest to 1/3139 in 2/5, -1.3, 0.129?
0.129
What is the closest to -3 in 728.613, 3, -5?
-5
What is the nearest to 2/11 in -1, 3/2, 2, 3, -16023, 1/3?
1/3
Which is the nearest to 0? (a) 0.4 (b) -4 (c) -7 (d) 1/9 (e) -3/2
d
Which is the closest to -1? (a) -97.3 (b) -0.04 (c) 3/7 (d) -0.23 (e) -4
d
Which is the nearest to 1.8? (a) -1/2 (b) 1 (c) -1/24 (d) 0.039 (e) -0.4
b
Which is the nearest to -12816? (a) -0.2 (b) -1.5 (c) -35
c
Which is the nearest to 2/7? (a) -2/11 (b) -0.22 (c) 5 (d) 596
a
What is the nearest to 14 in -1, -7, -5/7, 36, 4?
4
Which is the closest to -2/7? (a) -0.02295 (b) -3 (c) -2124
a
What is the nearest to 2 in 8, 5, -7, 1285, -0.2?
-0.2
Which is the closest to -763? (a) 5 (b) 15 (c) 4 (d) 1.7 (e) -1
e
What is the nearest to -15/23 in 4, -0.5, -28.13, -5, -2?
-0.5
Which is the nearest to 2/13? (a) -134/9 (b) 12 (c) 35
b
What is the closest to -27 in -3/19, -2, 53/2?
-2
Which is the closest to 5? (a) -1 (b) -2564 (c) 2 (d) -0.5 (e) -0.12
c
Which is the nearest to -0.2? (a) -0.228 (b) 1 (c) 14 (d) -1/218 (e) 2/9
a
What is the nearest to 0 in -0.5, 1, -39, -3/41, -3, 25/7?
-3/41
What is the nearest to 6697/4 in -525, 2/7, 0.3?
0.3
Which is the nearest to -8.6? (a) 3 (b) 0.02 (c) 0.5 (d) 483 (e) -0.07
e
What is the closest to -1 in -1.9, 0.05, 5757/7, 2/11, 2?
-1.9
Which is the nearest to -3? (a) 0.4 (b) -4/7 (c) -177 (d) 3 (e) -0.12
b
Which is the closest to -0.2? (a) 7/4 (b) -0.05 (c) -5 (d) 2/9 (e) 0.06 (f) -2/23
f
Which is the closest to 23332? (a) 5 (b) -0.4 (c) 206
c
Which is the closest to 9/211? (a) -3 (b) 5 (c) -2 (d) -138/19
c
What is the nearest to -2/21 in 45/32, -0.2, 3/8, 0.1?
-0.2
What is the nearest to -0.1 in -19, 43/7337, 1/6?
43/7337
Which is the nearest to -18? (a) 1 (b) -923 (c) -26 (d) 2/9
c
What is the nearest to -40459.4 in 0.76, -3, 2/3?
-3
Which is the closest to -1? (a) -14 (b) -1 (c) 5556
b
What is the closest to 1 in 7/4, 30.35, 0, 0.3, 0.2?
0.3
Which is the closest to 0.2? (a) -3/5 (b) -5 (c) -2/41 (d) -11 (e) 38
c
Which is the nearest to -6? (a) 547 (b) -3 (c) 0.1 (d) -3.7 (e) -69
d
What is the closest to -0.01 in 79638, -17, -4/3?
-4/3
What is the closest to 0.05 in 0.03417, 0.02, 0, 5, -1/5?
0.03417
Which is the closest to 0.2? (a) 1/107700 (b) -3 (c) -0.3
a
Which is the nearest to 3.7? (a) -0.5 (b) -2/7 (c) 14 (d) -529
b
Which is the closest to 2? (a) -1212 (b) -3 (c) 0.2 (d) -4.02 (e) -2 (f) -5
c
Which is the closest to 103? (a) -2 (b) 0.05 (c) -1/5 (d) 0 (e) 3 (f) 0.2
e
What is the nearest to 490 in -0.61, 10/61, 4/5?
4/5
Which is the nearest to -5? (a) 4 (b) 25447 (c) 2/17 (d) -3/5 (e) 2/9 (f) 0.3
d
Which is the closest to -2? (a) 1323.342 (b) -2/13 (c) 1/3
b
What is the closest to -0.1 in -64539, 2.1, -1/5?
-1/5
What is the nearest to -3 in -0.2, -0.022, -32053?
-0.2
Which is the nearest to -1? (a) 4.90762 (b) -2 (c) 5/2 (d) -2/9
d
What is the nearest to -5 in -0.07, 2, 12.971, -45?
-0.07
What is the closest to 1/34 in 4/13, -3/7, 4, 18/11, | {
"pile_set_name": "DM Mathematics"
} |
-278
What comes next: -22, -39, -68, -115, -186, -287?
-424
What is next in 2, 13, 32, 59, 94, 137, 188?
247
What comes next: -183, -184, -187, -192, -199, -208?
-219
What is the next term in 155, 315, 473, 629, 783, 935, 1085?
1233
What comes next: -50, 32, 178, 394, 686?
1060
What comes next: -9, -7, -19, -51, -109, -199, -327?
-499
What is the next term in -13, -32, -51?
-70
What is next in -54, -31, 38, 177, 410, 761, 1254?
1913
What is next in 128, 259, 400, 557, 736, 943, 1184, 1465?
1792
What is next in 280, 547, 800, 1033, 1240?
1415
What is next in 1, -19, -59, -125, -223, -359?
-539
What comes next: -23, -62, -135, -248, -407, -618, -887?
-1220
What is next in 6, 79, 282, 681, 1342?
2331
What is the next term in 88, 190, 314, 454, 604, 758, 910?
1054
What is the next term in -108, -107, -106, -105, -104, -103?
-102
What is next in 254, 1024, 2294, 4052, 6286, 8984, 12134, 15724?
19742
What is the next term in -1950, -1947, -1944, -1941?
-1938
What is the next term in 18, 66, 146, 258, 402, 578, 786?
1026
What is next in -44, -86, -160, -272, -428, -634, -896?
-1220
What is the next term in -8464, -8465, -8466?
-8467
What is the next term in 1828, 1829, 1832, 1837?
1844
What is the next term in 16, 14, 10, 4?
-4
What is next in -322, -312, -294, -262, -210, -132?
-22
What is the next term in -193, -183, -171, -157, -141, -123?
-103
What is next in 15, 18, 21, 24?
27
What comes next: -13, -18, -25, -34?
-45
What comes next: -16, -4, 8?
20
What is the next term in -413, -837, -1261, -1685, -2109, -2533?
-2957
What is the next term in 130, 223, 316, 409, 502, 595?
688
What is next in 46, 104, 168, 244, 338?
456
What is the next term in 7, -12, -67, -176, -357, -628, -1007, -1512?
-2161
What is the next term in -128, -196, -264?
-332
What is the next term in 271, 603, 935, 1267, 1599, 1931?
2263
What comes next: -1169, -1180, -1191?
-1202
What is the next term in -399, -408, -417, -426?
-435
What is the next term in -235, -233, -229, -223, -215, -205?
-193
What is the next term in 16, 42, 68, 94, 120?
146
What is next in 415, 405, 393, 379, 363, 345?
325
What is the next term in 24, 59, 118, 201, 308?
439
What comes next: -22, -8, 20, 68, 142?
248
What is next in 7, 6, 9, 16?
27
What comes next: 3, -10, -23, -36, -49, -62?
-75
What is next in -121, -110, -75, -4, 115, 294, 545, 880?
1311
What comes next: -6, -25, -58, -105, -166, -241?
-330
What comes next: -2509, -2508, -2507?
-2506
What comes next: -27, -35, -53, -87, -143?
-227
What is next in -420, -838, -1256, -1674, -2092?
-2510
What is next in 63, 126, 189, 252, 315?
378
What is next in -379, -380, -381, -382, -383, -384?
-385
What is the next term in 30, 115, 258, 459, 718, 1035?
1410
What is the next term in -24, -44, -78, -132, -212, -324, -474?
-668
What comes next: 52, 60, 84, 130, 204?
312
What is next in 16, 13, 8, 1, -8?
-19
What is next in -69934, -69933, -69932, -69931, -69930?
-69929
What is next in -917, -892, -867, -842?
-817
What is next in 10, 47, 118, 229, 386?
595
What is the next term in 49, 61, 73?
85
What is next in 135, 1044, 3513, 8322, 16251, 28080, 44589?
66558
What is the next term in 76, 78, 82, 88, 96, 106, 118?
132
What is the next term in 33, 60, 87, 114, 141, 168?
195
What is next in 178, 704, 1586, 2830, 4442?
6428
What is the next term in -238, -420, -602, -784, -966?
-1148
What comes next: -768, -773, -780, -789, -800, -813, -828?
-845
What is next in 47, 93, 137, 179, 219?
257
What comes next: 20, 50, 80, 110, 140, 170?
200
What is next in -200, -394, -586, -776, -964, -1150?
-1334
What is next in 6, 39, 122, 279, 534, 911, 1434?
2127
What is the next term in -108, -121, -142, -171?
-208
What is next in 84, 159, 234?
309
What is next in 13, 19, 25?
31
What comes next: 82, 185, 312, 463, 638, 837, 1060?
1307
What comes next: -65, -47, -31, -17, -5?
5
What comes next: -88, -87, -86, -85, -84, -83?
-82
What is the next term in 423, 850, 1287, 1740, 2215, 2718, 3255?
3832
What is the next term in -158, -308, -454, -596, -734?
-868
What comes next: 107, 213, 319, 425, 531?
637
What comes next: -713, -1426, -2139, -2852?
-3565
What is next in -226, -323, -420, -517, -614, -711?
-808
What is the next term in 1, 20, 79, 196, 389, 676?
1075
What comes next: -255, -514, -771, -1026, -1279?
-1530
What is the next term in -137, -135, -125, -101, -57, 13, 115?
255
What is next in 38, 163, 372, 665, 1042?
1503
What is next in -233, -399, -563, -725, -885, -1043, -1199?
-1353
What is next in 68, 176, 464, 1022, 1940, 3308, 5216?
7754
What is the next term in -14, -93, -316, -755, -1482, -2569, -4088?
-6111
What comes next: 112, 110, 106, 100?
92
What is next in 144, 230, 372, 570, 824?
1134
What comes next: -129, -143, -161, -177, -185?
-179
What is next in 6, -3, -30, -81, -162, -279?
-438
What is next in 1354, 2718, 4088, 5464, 6846, 8234, 9628?
11028
What is the next term in -286, -285, -284, -283, -282, -281?
-280
What is next in 9, 14, 31, 66, 125, 214?
339
What comes next: -3, 3, 7, 3, -15, -53?
-117
What is the next term in 23, 97, 221, 395, 619, 893, 1217?
1591
What is next in 85, 124, 151, 160, 145, 100?
19
What comes next: 256, 500, 744?
988
What is next in 66, 79, 114, 183, 298?
471
What comes next: 7866, 7865, 7864, 7863?
7862
What comes next: -2465, -4929, -7393, -9857, -12321?
-14785
What comes next: -739, -1479, -2219, -2959, -3699, -4439?
-5179
What is next in 5, 52, 129, 236, 373, 540, 737?
964
What comes next: 61, 274, 633, 1138, 1789, 2586, 3529?
4618
What is the next term in 57, 61, 65, 69, 73?
77
What comes next: 3, -11, -33, -63, -101?
-147
What is next in 251, 270, 303, 350, 411?
486
What is the next term in 7333, 7332, 7331?
7330
What comes next: 454, 582, 700, 802, 882, 934, 952?
930
What comes next: -422, -843, -1264, -1685, -2106?
-2527
What comes next: 1, -21, -65, -137, -243?
-389
What is next in 759, 765, 773, 783?
795
What is the next term in -322, -640, -956, -1270, -1582, -1892, -2200?
-2506
What is next in -1686, -1686, -1684, -1680, -1674, -1666, -1656?
-1644
What comes next: -21, -37, -53, -69?
-85
What comes next: 3, 0, -3, -6, -9?
-12
What comes next: -1297, -2596, -3895, -5194, -6493?
-7792
What comes next: -13, -27, -49, -79, -117, -163?
-217
What comes next: -364, -362, -360, -358, -356?
-354
What is next in 50, 77, 104, 131?
158
What is next in 5316, 10629, 15942, 21255, 26568?
31881
What comes next: -2621, -2618, -2613, -2606, -2597?
-2586
What is the next term in -10439, -10437, -10433, -10427, -10419, -10409?
-10397
What is the next term in 39, 77, 105, 123?
131
What comes next: 68, 77, 92, 113, 140, 173, 212?
257
What comes next: -148, -291, -434, -577, -720?
-863
What is the next term in -2760, -5518, -8278, -11040?
-13804
What is next in 705, 700, 693, 684, 673, 660, 645?
628
What is the next term in -3, 28, 81, 156, 253, 372, 513?
676
What is the next term in 31, 50, 67, 82?
95
What is next in 24, 110, 330, 750, 1436, 2454?
3870
What is the next term in 8, 21, 46, 89, 156?
253
What is the next term in 1797, 1780, 1761, 1740, 1717, 1692?
1665
What comes next: 43, 81, 119?
157
What is the next term in 288, 275, 248, 201, 128, 23, -120, -307?
-544
What comes next: -206, -431, -656, -881?
-1106
What comes next: 35, 44, 59, 80, 107, 140?
179
What comes next: -382, -1556, -3512, -6250?
-9770
What is the next term in 51, 57, 63, 69, 75, 81?
87
What is next in 12, 3, -12, -33, -60?
-93
What comes next: -49, -61, -85, -127, -193, -289, -421?
-595
What is next in -113, -231, -349, -467, -585, -703?
-821
What is the next term in -793, -1588, -2373, -3142, -3889?
-4608
What is the next term in 8, 7, 10, 17, 28, 43, 62?
85
What comes next: -22, -17, -12, -7, -2, 3?
8
What is the next term in -69, -177, -369, -687, -1173?
-1869
What is next in 51, 55, 49, 21, -41, -149, -315, -551?
-869
What comes next: 6, 25, 56, 99, 154, 221?
300
What comes next: -630, -615, -594, -567?
-534
What comes next: 62, 71, 86, 113, 158, 227, 326, 461?
638
What is next in -613, -650, -705, -772, -845, -918?
-985
What is next in 24, 32, 42, 54, 68, 84, 102?
122
What is the next term in 22, 15, 2, -17?
-42
What is next in 10, 45, 102, 181, 282, 405?
550
What is the next term in -587, -586, -585, -584?
-583
What is the next term in -11, -7, 3, 19, | {
"pile_set_name": "DM Mathematics"
} |
econd derivative of n**8/3360 + n**7/840 + n**6/720 + n**4/6 - 2*n. Let o(x) be the third derivative of z(x). Let o(u) = 0. What is u?
-1, -1/2, 0
Let g(n) be the second derivative of -2*n**6/45 + n**5/15 + n**4/9 - 2*n**3/9 - 34*n. Factor g(x).
-4*x*(x - 1)**2*(x + 1)/3
Let p = 88 + -86. Let m(b) be the second derivative of -1/6*b**3 - b + 1/10*b**5 - 1/2*b**p - 1/30*b**6 - 1/42*b**7 + 1/6*b**4 + 0. What is s in m(s) = 0?
-1, 1
Let d(m) be the second derivative of m**6/30 - 3*m**5/20 + m**4/12 + m**3/2 - m**2 + 18*m. What is b in d(b) = 0?
-1, 1, 2
Let s = 46 + -136/3. Determine o so that 1/3 - s*o**2 + 0*o**3 + 1/3*o**4 + 0*o = 0.
-1, 1
Let u(t) be the second derivative of -5*t**9/756 - t**8/140 + t**7/105 + t**3/3 + 6*t. Let v(d) be the second derivative of u(d). Factor v(s).
-4*s**3*(s + 1)*(5*s - 2)
Let v(p) be the third derivative of p**8/70560 + p**7/4410 + p**6/630 + p**5/30 - p**2. Let l(u) be the third derivative of v(u). What is k in l(k) = 0?
-2
Let v(s) be the second derivative of -s**5/110 - s**4/66 + 2*s**3/33 - 20*s. Determine f so that v(f) = 0.
-2, 0, 1
Let u(z) be the first derivative of 4*z**5/25 - 4*z**4/5 + 4*z**3/3 - 4*z**2/5 + 5. Find s, given that u(s) = 0.
0, 1, 2
Let k(o) be the first derivative of 4*o**3/3 + 16*o**2 + 64*o - 4. Factor k(n).
4*(n + 4)**2
Let p = -34 + 36. Factor 2/3*n**3 - 4/3*n**p + 0 + 2/3*n.
2*n*(n - 1)**2/3
Suppose 34*k + 1 = 35*k. Let t(v) be the first derivative of -k - 1/12*v**3 + 0*v + 1/8*v**2. Factor t(b).
-b*(b - 1)/4
Let i(j) be the third derivative of -1/48*j**4 - 3*j**2 + 0*j**3 + 0 + 1/240*j**6 + 0*j + 1/120*j**5 - 1/420*j**7. Factor i(s).
-s*(s - 1)**2*(s + 1)/2
Suppose 0*m + 13*m = -6*m. Factor m + 2/3*j**2 + 4/3*j.
2*j*(j + 2)/3
Let s = -1108 - -132961/120. Let x(m) be the second derivative of 0*m**2 - 3*m + s*m**6 + 0*m**5 + 0 + 0*m**4 + 0*m**3. Factor x(b).
b**4/4
Suppose 0 = 5*h + 90 - 95. Let -1/4*v**3 + h - 3/4*v**2 + 0*v = 0. What is v?
-2, 1
Let m be -1 - (-3 - -1) - 1. Suppose 6*w - 2*w + 3*j = 5, 2*w + 5*j + 1 = m. Find b, given that -w*b**2 - 4*b**4 - 5 + b + 5 - 7*b**3 = 0.
-1, 0, 1/4
Suppose o + 1 = 0, 6*j - 6 = 2*j - 2*o. Let y(d) be the first derivative of -1/3*d**j - 7/9*d**3 + 1/3*d - 1/3*d**4 - 1. Factor y(r).
-(r + 1)**2*(4*r - 1)/3
Factor 4528*q**2 + 1 + q**3 - 1 + 5*q - 4534*q**2.
q*(q - 5)*(q - 1)
Let h(g) = -9*g**4 + 8*g**3 - 5*g**2 - 13*g + 4. Let j(y) = -4*y**4 + 4*y**3 - 2*y**2 - 6*y + 2. Let p(s) = -2*h(s) + 5*j(s). Solve p(a) = 0 for a.
-1, 1
Suppose -5*z = 11*z. Let s(u) be the second derivative of -1/12*u**5 - 4*u + 0 + 1/9*u**4 + z*u**2 - 1/18*u**3 + 1/45*u**6. Factor s(r).
r*(r - 1)**2*(2*r - 1)/3
Let b(k) = -3*k**3 - 43*k**2 - 67*k - 27. Let z(j) = -16*j**3 - 236*j**2 - 368*j - 148. Let f(c) = -28*b(c) + 5*z(c). Factor f(g).
4*(g + 1)**2*(g + 4)
Let z(a) = 6*a**2 + 10*a + 4. Let j(w) = -w**2 - w. Let c = 5 - 6. Let n(l) = c*z(l) - 8*j(l). Let n(d) = 0. What is d?
-1, 2
Let s = 538/455 - -16/65. Let m = 517/595 - 1/85. Find t, given that -s*t**3 - m*t**4 + 2/7*t**2 + 10/7*t + 4/7 = 0.
-1, -2/3, 1
Factor -6*x - 100*x**2 - 125*x**3 - 9*x - 5*x.
-5*x*(5*x + 2)**2
Let c(q) be the third derivative of q**8/40320 - q**7/5040 + q**6/1440 + q**5/10 - q**2. Let r(y) be the third derivative of c(y). Factor r(z).
(z - 1)**2/2
Let u(b) = b**2 + b - 3. Let l be u(-3). Factor -l*g**3 + 2*g**2 - g**3 - g**4 + 3*g**3.
-g**2*(g - 1)*(g + 2)
Let h(k) = -k**3 + 4*k**2 - 2*k + 2. Let i be h(3). Factor 6*f**3 + 3*f**4 - f**2 + 3*f**4 + 3*f**2 + 2*f**i.
2*f**2*(f + 1)**3
Let y be -1 + 5 - 0/(10 - 2). Factor 1/4*s**5 + 1/2*s**y + 1/4*s**3 + 0 + 0*s**2 + 0*s.
s**3*(s + 1)**2/4
Let m(h) be the second derivative of h**4/24 - h**3/4 + h**2/2 - 16*h. Factor m(n).
(n - 2)*(n - 1)/2
Let r = -3 + 3. Suppose -2*h + 308 = -r*h. Factor 72*x + 0*x - 8*x + h*x**2 + 98*x**3 + 8.
2*(x + 1)*(7*x + 2)**2
Let w(m) be the third derivative of -m**8/672 - 19*m**7/420 - 13*m**6/24 - 35*m**5/12 - 125*m**4/48 + 625*m**3/12 + 10*m**2. Factor w(x).
-(x - 1)*(x + 5)**4/2
Let w(l) = 6*l**2 - 18*l + 2. Let a(x) = 7*x**2 - 19*x + 3. Let g(j) = -2*a(j) + 3*w(j). Let g(s) = 0. Calculate s.
0, 4
Let p be (6 - 6)/(-1 + 0). Let w(g) be the second derivative of g + p - 1/2*g**4 + 1/3*g**2 + 2/9*g**3 - 3/5*g**5. Determine i so that w(i) = 0.
-1/2, -1/3, 1/3
Suppose -y + 0*l - 3*l = 2, 5*l + 1 = -4*y. Let c(x) be the first derivative of -2/3*x**3 + y - x**2 + 0*x. Let c(k) = 0. Calculate k.
-1, 0
Let d(j) = -7*j**3 + 7*j**2 + 6*j. Let x(f) = -8*f**3 + 8*f**2 + 6*f. Let b(u) = 5*d(u) - 4*x(u). Factor b(r).
-3*r*(r - 2)*(r + 1)
Let t be 264/16 - (-3)/(-2). Let j be (-3)/t*(-10)/6. Find w such that j*w**2 + 1/3*w + 0 = 0.
-1, 0
Factor -38 - 6*g + 3*g**2 + 58 - 5*g**2.
-2*(g - 2)*(g + 5)
Let o(q) be the second derivative of 9*q**5/80 - 7*q**4/16 + q**3/4 - 4*q. Factor o(u).
3*u*(u - 2)*(3*u - 1)/4
Let m be 2/(-2) + 1022/1057. Let b = 4087/302 + m. Suppose 13/2*k**2 - 9/2*k**5 + 0 - 29/2*k**3 + b*k**4 - k = 0. Calculate k.
0, 1/3, 2/3, 1
Suppose 4*t - 5 - 11 = 0, -5*t = 3*f - 26. Let r(q) be the second derivative of 1/70*q**5 + 2/21*q**4 + 5/21*q**3 + 2/7*q**2 + 0 + f*q. Solve r(c) = 0 for c.
-2, -1
Let v(d) be the first derivative of -d**6/60 - d**5/40 + 5*d**4/24 - d**3/4 + 4*d + 4. Let j(p) be the first derivative of v(p). Factor j(y).
-y*(y - 1)**2*(y + 3)/2
Suppose 7*n + 5*r = 2*n, -n + 2*r + 9 = 0. Let w = n + 0. Factor w + 2 - 3*g + 2 - 5 + g**2.
(g - 2)*(g - 1)
Let d(b) = b**3 - b + 1. Let c(q) = -3*q**3 - q + 4*q**3 - 5 + 7*q - 7*q**3. Let m(y) = c(y) + 5*d(y). Factor m(u).
-u*(u - 1)*(u + 1)
Suppose -z + 5 = 0, -2*i + 0*i - z = -13. Let a(j) be the second derivative of 1/2*j**i - 13/20*j**5 - 2*j - 1/6*j**6 + 0 + 10/3*j**3 - 4*j**2. Solve a(k) = 0.
-2, 2/5, 1
Let i = 44 + -36. Let d = 1 + 1. Factor -2*p + d*p**3 - i + 8.
2*p*(p - 1)*(p + 1)
Factor 10*a**2 + 27 - 6*a**2 + 18*a - a**2.
3*(a + 3)**2
Let u(i) be the third derivative of i**7/525 + i**6/100 + i**5/75 - 5*i**2. Suppose u(g) = 0. Calculate g.
-2, -1, 0
Let j(p) be the third derivative of p**7/84 - p**6/24 - p**5/24 + 5*p**4/24 + 8*p**2. Factor j(m).
5*m*(m - 2)*(m - 1)*(m + 1)/2
Let l be 6/((-12)/7)*(-4)/28. Factor 0 - l*o + 0*o**2 + 1/2*o**3.
o*(o - 1)*(o + 1)/2
Factor -2*s**2 + 50/9 + 10/3*s + 2/9*s**3.
2*(s - 5)**2*(s + 1)/9
Suppose 15/2*p + 3/2*p**2 + 9/2 - 3/2*p**3 = 0. What is p?
-1, 3
Suppose 3 = 2*v + 1. Let q be (-15)/(-36) + v/4. Factor -2/3*x**3 - q*x**2 + 2/3*x + 2/3.
-2*(x - 1)*(x + 1)**2/3
Let p(c) be the first derivative of -3*c**5/20 - 9*c**4/16 - 3*c**3/4 - 3*c**2/8 - 1. Factor p(t).
-3*t*(t + 1)**3/4
Suppose -5*r + 40 = -2*i, r - i - 26 = 3*i. Let h be (r/(-8))/(63/(-24)). Find o such that 4/7*o + 0*o**2 - 2/7 - 4/7*o**3 + h*o**4 = 0.
-1, 1
Let c be 2/6 - 2/6. Let g(j) be the first derivative of c*j - 1/3*j**2 + 2/9*j**3 - 1. Determine i, given that g(i) = 0.
0, 1
Let -2/7*p**3 + 6/7*p**2 + 0 + 0*p = 0. What is p?
0, 3
Let y = -78 - -81. Factor u**2 - 1/4*u**y - 5/4*u + 1/2.
-(u - 2)*(u - 1)**2/4
Suppose -5 = -2*r - 11. Let n be (10/15)/((-1)/r). Determine u, given that -n*u**3 + u**3 - u**2 - 4*u**2 - 6 + 2 - 8*u = 0.
-2, -1
Let f be (-6)/(-9) + (-6)/9. Let h(p) be the third derivative of 0*p + 0 + 0*p**4 + 1/60*p**5 + 3*p**2 + f*p**3. Factor h(s).
s**2
Let p = 6/275 - -2158/1925. Find u such that -p - 8/7*u - 2/7*u**2 = 0.
-2
Let b(a) be the third derivative of a**6/1080 - a**5/180 + a**4/72 - 5*a**3/6 + 2*a**2. Let n(x) be the first derivative of b(x). Solve n(l) = 0 for l.
1
Let t be 224/21 + (-2)/(-6). Solve 17*f**2 - f**2 - 4*f**3 + 11*f + 2 + t*f**3 = 0.
-1, -2/7
Let q(g) = g**4 - 12*g**3 + 24*g**2 + 320*g + 404. Let l(a) = a**4 - 13*a**3 + 24*a**2 + 320*a + 403. Let w(u) = 4*l(u) - 3*q(u). Factor w(s).
(s - 10)**2*(s + 2)**2
Let q(c) be the first derivative of c**2 + 0*c + 21/4*c**4 - 17/5*c**5 - 11/3*c**3 - 5 + 5/6*c**6. Factor q(h).
h*(h - 1)**3*(5*h - 2)
Let b be 132/(-9) + 1/(-3). Let i = 31/2 + b. Factor 0*n**2 + 0*n + 3/2*n**4 - 2*n**5 + i*n**3 + 0.
-n**3*(n - 1)*(4*n + 1)/2
Suppose 0 = 4*g - 9 + 1. Let -2*q**2 + 4*q**2 + 0*q**g = 0. What is q?
0
Factor -2*t**2 - 2*t + 5*t**2 + t**2.
2*t*(2*t - 1)
Determine p, given that -2 - 12*p + 29*p**2 - 85*p**2 + 10 - 16*p**3 + 28*p**5 + 48*p**4 = 0.
-1, 2/7, 1
Let s(y) be | {
"pile_set_name": "DM Mathematics"
} |
2*t - 2*t)*(1135 + 421 + 0 - 1).
-1555*t
Expand (512 - 512 + 26*a)*(5 - 1 - 3)*(-157 + 157 - 13*a).
-338*a**2
Expand (3*g + 0*g - 2*g)*(62 - 33 - 493 + (2 - 3 + 2)*(4 - 4 + 2) + 3 - 3 - 2).
-464*g
Expand (-3*n - 2*n + 3*n)*(1 - 8 + 5 + (0 - 5 + 4)*(1289 + 1421 - 2076) + (4 - 2 + 0)*(0 + 0 + 1))*(-2*n**3 + 0*n**3 + 0*n**3).
-2536*n**4
Expand (55*r + 36*r - 35*r + 81*r)*(-14*r - 56*r - 70*r + 2 - r - 2 - 2 + 2 - 2*r + (6*r - 2*r - 2*r)*(0 - 1 - 1)).
-20139*r**2
Expand (w - 3 + 3)*(-725374447*w - 145*w**3 - 180*w**4 + 4 - 4 + 725374447*w).
-180*w**5 - 145*w**4
Expand (-20 + 19 + 20 - o)*(-11 + 3 + 0).
8*o - 152
Expand (-17*q - 27 + 27)*(-26555 + 26555 - 6*q)*(-2*q - q + 5*q).
204*q**3
Expand 5*f**4 - 5*f**4 + 6*f**4 + (20*f**3 - 28*f**3 - 43*f**3)*(2*f - 5*f - 4*f) - f**4 - 4*f**4 + 3*f**4.
361*f**4
Expand (9*k + 993 - 993)*(-15*k**2 - 111*k + 111*k) + 2*k - 2*k + 4*k**3.
-131*k**3
Expand (17*g**3 - g - 12*g**3 + 24*g**3)*(-4 - 2 + 1 - 2*g**2).
-58*g**5 - 143*g**3 + 5*g
Expand 5*k**2 - 3*k**2 - 5*k**2 + (7959*k - 62*k + 2183*k)*(2*k + 2 - 5 + 2).
20157*k**2 - 10080*k
Expand (-2 - 2 + 2)*(0 + m + 0) + 3*m + 2*m - 2*m + (0*m + m - 3*m)*(727 + 2996 + 1028 + 696 + 46).
-10985*m
Expand (0*j - 4*j + 2*j)*(265*j**2 + 311*j**2 - 155*j**2)*(3 + 0 - 2)*(3 + 0 - 5)*(-2*j**2 + 4 - 4).
-3368*j**5
Expand -6 - 10*x**3 + 6 + (-x + 2*x - 2*x**2 + 0*x**2)*(-170*x - 43*x - 44*x).
504*x**3 - 257*x**2
Expand (1 + 2 - 4 + (0 + 4 - 2)*(3 + 3 - 7) + 1 - 3 + 4)*(2 + a - 2*a + 0*a) - a + 0*a + 0*a + (0 + 2*a + 0)*(-19 - 4 - 49).
-144*a - 2
Expand (29505*o + 22 - 31955*o - 22 - 17024*o)*(-o**2 + 2*o**3 + o**2).
-38948*o**4
Expand (-13 - 158 - 117)*(5*w - 5*w - w**2 + (w + 0*w + w)*(-5 + w + 5)).
-288*w**2
Expand ((0 + z + 0)*(0 + 3 - 2) + z + 1 - 1 + (3 - 1 - 3)*(-3 - z + 3))*(-158*z**4 + 15*z**4 - 59*z**4).
-606*z**5
Expand (4 - 4 + 3*g)*(-1 + 1 - g**2) + (5 - 2 - 2)*(10*g**3 + 9*g**3 - 6*g**3) - 2*g**3 - g**3 + 4*g**3.
11*g**3
Expand (2 + 3 - 3)*(-6*t + 7*t + 2*t)*(40*t**3 - 1235*t + 1235*t) - 2*t**4 + 3*t**4 - 3*t**4.
238*t**4
Expand (-352*q**2 - 2*q**3 + 352*q**2)*(-q**2 + 56*q**2 + 44*q**2).
-198*q**5
Expand (3*m + m - 2*m)*(-1 + 5 - 2) + (22*m - 129*m - 468*m - 815*m)*(-4 + 4 - 2).
2784*m
Expand (j - 1 + 1 + (2*j + 2*j - 5*j)*(10 - 8 + 8))*(-4 - 58 + 7).
495*j
Expand -519*a**2 - 3308 + 1657 + 1655 + (-2*a + 4 - 4)*(a - 3*a + a).
-517*a**2 + 4
Expand (-3*o + 5*o - 3*o)*(17 + 47 - 22 + (2 - 3 - 2)*(-1 - 2 + 5))*(-2 + 2 + 2).
-72*o
Expand (-477 - 19*p + 487 - 32*p)*(-p**2 + 3*p**2 - p - 4*p**2).
102*p**3 + 31*p**2 - 10*p
Expand (3 + 1 - 2)*(3*c - 5*c + 3*c) + 12377*c + 2 - 12544*c - 5.
-165*c - 3
Expand (5*h - 2*h - 2*h)*(-14*h**3 - 3*h**3 - 3*h**3) + (h + h + 0*h)*(2*h**3 + 2*h**3 - 2*h**3).
-16*h**4
Expand 128*r**2 + 4937 - 4937 + (-6*r + 2*r - 3*r)*(1 - 1 + r).
121*r**2
Expand (166*l + 167*l + 45*l)*(0*l - 13*l + l**2 + 0*l**2 + 1).
378*l**3 - 4914*l**2 + 378*l
Expand (4*t**3 - 10*t**2 + 10*t**2)*(-27*t**2 + 22*t**2 + 150*t**2) + (-10*t**5 - t**5 + 4*t**5)*(-4 + 2 + 0).
594*t**5
Expand (0*i**4 - 3*i**4 + 4*i**4)*((3*i - i - i)*(-2 + 2 + 1) + 1 + 5*i - 28 + 18).
6*i**5 - 9*i**4
Expand 4*q**2 + 3*q**2 - 5*q**2 + (-7*q + 3*q - q - 4*q + 4*q - q + (-1 + 2 - 3)*(-q + 2*q + q) + q + q - 3*q)*(0*q - 3*q + q)*(-3 + 16 + 24).
816*q**2
Expand (0 + 0 + 4*f)*(2 + 4 - 1 + 2 + 1 - 5 + (1 - 3 + 0)*(2 - 4 + 1))*(-4*f + 16*f - 14*f).
-40*f**2
Expand -5*j**5 - 5*j**4 + 4*j**4 + 4*j**5 + 5*j**5 + j**5 - 5*j**5 + (-49*j**4 + 2779*j**2 - 2779*j**2)*(j + 2*j + 0*j).
-147*j**5 - j**4
Expand (-1015 + 1607 - 1082)*((-4 + 4 - 4*t)*(-5*t + 0*t + 4*t) - 3 + 2*t**2 + 3).
-2940*t**2
Expand -399*x + 272*x - 465*x - 589*x - 61*x + (-x + 4*x - 2*x)*(3 - 3 + 2) - x - x + 4*x.
-1238*x
Expand (-3 + 3 + a)*(3882 + 124*a - 299*a - 292*a + 476*a).
9*a**2 + 3882*a
Expand (-12938 + 6469 + 6468 + 8275*k**2)*(2 - k**2 + 2*k - 2*k).
-8275*k**4 + 16551*k**2 - 2
Expand -12*r - 64 + 64 + (-3 + 1 + 1)*(r - 3 + 3) + r + r + 2*r + (2 - 1 - 8)*(-2*r - 2*r - r).
26*r
Expand (-2 + 1 + 2)*((-1 + 2 + 0)*(-1 + 1 - 2*f) + 2 - 2*f - 2 - 4*f + 3*f - f) + 19 - 6*f - 19 + (4 + 0 - 1)*(-f - 2*f + 6*f) + 3*f + f - 3*f.
-2*f
Expand (3*c + 67 + 35 + 34)*(3 - 4 - 2 + (-4 + 2 + 3)*(-3 + 3 + 1) + 1 + 0 - 3 - 3 + 3 - 1 - 2 - 4 + 5).
-18*c - 816
Expand (-2*j**2 + j**2 + 2*j**2)*(-3304 + 3304 + 52*j) + 3*j**3 + 25*j**3 - 8*j**3.
72*j**3
Expand (0*o - 2*o + o)*(1 + 1 - 1) + 3*o - o - 4*o + (-2 + 5 - 2)*(-258*o - 1073 + 1073).
-261*o
Expand ((-3 + 1 + 1)*(-3 + 15 + 5) + 0 + 4 + 5)*(-4*k**2 + 2*k**2 - 2*k**2).
32*k**2
Expand (14 + 11*x - 14)*(66 - 49 - 39)*(2*x**2 + 11*x - 11*x).
-484*x**3
Expand (679*d**2 - 680*d**2 + 2*d**3 - d**3 - 130*d)*(2*d**2 - 2*d**2 - 4*d**2).
-4*d**5 + 4*d**4 + 520*d**3
Expand (3 + 1 - 2)*(-v - 5*v + 4*v)*(-2286*v + 199181 - 199181).
9144*v**2
Expand 2*o**4 - 3*o**4 - o**4 + (-2*o**3 - 3*o**3 + 4*o**3)*(101*o - 15207 + 15207).
-103*o**4
Expand (7*b**2 + 17*b**2 + 5*b**2 + (-b + b - 2*b)*(-b + 4*b - 2*b))*(b + 5*b - 4*b).
54*b**3
Expand (-1 + 3 - 3 - 3 + 2 - 1 - 4 + 3 - 1 + (4 - 3 + 0)*(-4 + 4 + 2))*(-i + 4 - 4)*(-11915 + 11915 - 505*i).
-1515*i**2
Expand 6*s + 2*s**2 - 6*s + (0*s + 0*s - s)*(134*s + 40*s + 33*s) - s**2 + 0 + 0 + (-2*s - 2*s + 6*s)*(2*s - 3*s + 0*s).
-208*s**2
Expand (1 - t + 66*t - 21*t)*(-3*t**4 + 0*t**4 + 4*t**4) + (-4*t**3 + 6*t**3 - 4*t**3)*(t**2 - 2*t**2 - t**2) - 2*t**5 + 0*t**5 - t**5.
45*t**5 + t**4
Expand (-15 - 14*m**2 - 816*m + 14 + 822*m)*(-4 + 0 + 0) - m**2 + 0*m**2 + 3*m**2 + (0*m**2 + m**2 + 0*m**2)*(-1 + 0 - 1) - 2*m**2 + 2*m - 2*m.
54*m**2 - 24*m + 4
Expand ((-4 - 1 + 3)*(-2*g + 2*g - 3*g) + 0*g - 34*g - 17*g)*(2 - 1 - 2)*(1 + 0 - 3)*(g + 2*g - 5*g).
180*g**2
Expand -12 + 7 + 4 + 7*y + (17*y - 6 - 6*y - 8*y)*(0 - 1 + 0).
4*y + 5
Expand -2621*s + 15*s**4 + 2621*s + (s**3 + 2*s**2 - 2*s**2)*(-4*s + 5*s + 0*s) + 2*s**4 - s**4 + 2*s**4.
19*s**4
Expand 80 - 25*i + 86 - 169 + (21 + 16 - 7)*(2*i + 0*i - i).
5*i - 3
Expand (2*b + 3*b - 4*b)*(-b - 6 + 6) - 4*b**2 + 2*b**2 + 0*b**2 - 307*b**2 + 107 - 107.
-310*b**2
Expand (2*f + 2*f + 2*f)*(1 - 2*f - 1)*(3 - 4 + 2)*(-134 - 45*f + 134)*(1 + 1 + 0)*(3*f + 0*f - f).
2160*f**4
Expand ((j**3 - j + j)*(j + 0*j - 3*j) - j**4 + 2*j**4 + 0*j**4 - 2*j**4 + j**2 - j**2 - 43*j**4 + 803*j**4 - 318*j**4)*(4*j + 2*j + j).
3073*j**5
Expand (15 - 36 + 0)*(-61 - 44 - 73)*(0*i + 0*i + 2*i).
7476*i
Expand (2*j + j - j)*(3*j**3 + 0*j**3 - j**3) + 64*j**4 - 20*j**4 - 51*j**2 + 49*j**2.
48*j**4 - 2*j**2
Expand (998*t + 1547*t - 328*t)*(-1 + 8*t**4 + 3 - t**4).
15519*t**5 + 4434*t
Expand (-7800 - 16013 - 16369 - 17184 + 9708 + g)*(-5*g + g + 2*g).
-2*g**2 + 95316*g
Expand -6*b**3 - 987*b**3 - 1050*b**3 + (b + b - b)*(-2*b**2 - 3*b + 3*b).
-2045*b**3
Expand (-l + l - 2*l**2)*((0 + 1 + 0)*(2*l - 4 + 4) + (5 - 3 - 3)*(2*l - 5*l + l))*(-4*l + 2*l - 6*l)*(7 + 1 + 14).
1408*l**4
Expand (-1 + 1 + 3 + (18 - 9 + 8)*(-2 - 1 + 0))*(-w**2 + w**4 - 3*w**2 + 3*w**4)*(4 - 5 - 1).
384*w**4 - 384*w**2
Expand -26*r + 41*r**2 + 26*r + (2 - 2*r - 2)*(1295 - 109*r - 1295).
259*r**2
Expand -5*t**2 + 4*t**2 - t**2 + 5*t**2 + 0*t**2 - 2*t**2 + (5*t - 2*t - t)*(1 - t - 1) + (2 + 2*t - 2)*(222 - 222 - 82*t) + 3*t**2 + t**2 - 6*t**2.
-167*t**2
Expand (-2*h - 2*h + 7*h)*(-272 + 348 + 600) - h - 4*h + 3*h + (-3 + 1 + 1)*(-2*h + 0*h + h).
2027*h
Expand ((0 - 6 + 3)*(-3*f - 5*f + 0*f) - 6*f - 6*f - 4*f)*(0 + 0 + 2).
16*f
Expand (-3*b**2 - 1507 + 1507 - 70*b**3)*(10*b - 6*b + 16*b).
-1400*b**4 - 60*b**3
Expand (49*z - 32 - 98*z + 48*z + 53)*(-2*z - 5 + 5)*(2*z**2 + 0*z**2 + 2*z**2).
8*z**4 - 168*z**3
Expand (-5*p + 2*p + 4*p + (-3 + 2*p + 3)*(-2 + 1 + 0) + (2*p - 3*p - p)*(-29 - 3 - 18))*(-6*p - 7 + 7).
-594*p**2
Expand (4 - 3 - 3)*(-u + u + 2*u) + (3 + 2 - 3)*(0*u + 2*u - 4*u) + (-5*u - u + 4*u)*(-382 - 1211 - 643).
4464*u
Expand (-o - o + 4*o)*(0 + 5 - 3) + 6*o + 9*o + 5*o + (1 + 3 - 2)*(6*o - 3*o - 2*o).
26*o
Expand (-272 + 272 + 53*t)*(t + 0*t + 0*t) + ((-1 + 1 + 2*t)*(0 + 0 - 1) + 2*t - 3*t + 4*t)*(-8 - 14 + 19*t + 21).
72*t**2 - t
Expand 0*j**3 + 2*j**3 - j**3 + (-50 - 79 - 546)*(j**3 + 5*j**2 - 5*j**2).
-674*j**3
Expand (151*c**2 + 423*c - 423*c - c - c**2 + c + (c**2 - c**2 - 2*c**2)*(0 + 1 - 3) - 2*c**2 - 2*c**2 + 2*c**2)*(2 - 2 + c) - 3*c**3 + 3*c**3 - c**3.
151*c**3
Expand (-7* | {
"pile_set_name": "DM Mathematics"
} |
(c) 40 (d) 0.5 (e) -19
b
Which is the closest to 4? (a) 443 (b) -0.3 (c) -0.66 (d) -2 (e) 0.3
e
What is the closest to -2/5 in -0.07, -340248, 0.4?
-0.07
What is the nearest to -2/3 in 3/5, 1, -1, 63020/267, -3, -0.2?
-1
What is the closest to -25/2 in 2, -1342, -6?
-6
Which is the closest to 1/1169? (a) -0.5 (b) 193 (c) -10
a
Which is the closest to -0.06? (a) 4 (b) 176.91 (c) 2
c
What is the nearest to 1 in -3/10, 0.5, -5, 5, -5.758, 2/13?
0.5
Which is the nearest to 0? (a) 2 (b) -119148 (c) -1/5
c
What is the nearest to -2 in -24, 2938, 1.6?
1.6
What is the nearest to 0 in 0, 13, -4, -544, -15, 5?
0
Which is the nearest to -4? (a) 1/54202 (b) 6 (c) -1/4 (d) -5
d
What is the nearest to -4 in 5/3, -94, 6.9?
5/3
Which is the closest to -3? (a) 0.03 (b) -2/15 (c) -69.38 (d) -5/6 (e) 2/13
d
What is the nearest to -2/5 in -4/9, 4.6, 21, 0.36?
-4/9
Which is the closest to -30? (a) 2/11 (b) 0.059 (c) -0.17
c
Which is the nearest to -0.04? (a) 0.6 (b) 111 (c) -11/21 (d) -1 (e) 3
c
Which is the closest to 0? (a) 35686 (b) 0.1 (c) 8
b
Which is the nearest to 0? (a) -0.057 (b) 0.2 (c) -518 (d) -61
a
What is the closest to -1522 in 1, 3, -3/5, 73?
-3/5
What is the closest to -19/4 in -49855, 0.2, 26?
0.2
What is the nearest to 377 in 15, -5/2, 3?
15
What is the closest to 6/11 in 3/27310, 8/11, -3/2?
8/11
Which is the nearest to -4/9? (a) -53 (b) 1 (c) -4 (d) 0.78 (e) -5
d
What is the closest to -2/5 in 395/13, -3, -7/27?
-7/27
What is the closest to -1/4 in 4/3, 2/17, -1577, 6, 1/2, -0.5?
-0.5
Which is the nearest to 3? (a) -9/1234 (b) -2/7 (c) 5.4 (d) -0.3
c
Which is the nearest to 0? (a) 0.2 (b) 1 (c) 5.931 (d) -0.342 (e) 3
a
Which is the nearest to 147349? (a) -1/7 (b) 0 (c) -2/11
b
Which is the nearest to 2? (a) -1/2 (b) 14 (c) -97/3 (d) -1.1 (e) 85
a
Which is the nearest to 0.011? (a) -0.3 (b) 1/15 (c) -5 (d) 1/545
d
Which is the closest to 1/2? (a) 4/9 (b) 3 (c) -2/9 (d) 0.2 (e) 69 (f) -292
a
Which is the nearest to 13/4? (a) 0 (b) 9344 (c) -2/25 (d) 0.5
d
Which is the nearest to -1? (a) -13/5 (b) -2 (c) -6/11 (d) -461 (e) 1/4
c
Which is the nearest to 0? (a) -17/9 (b) 2 (c) -6 (d) 18/5 (e) -5
a
Which is the nearest to 0.2? (a) -123096 (b) -0.5 (c) 0.36 (d) 0.3 (e) 3
d
Which is the closest to 13? (a) -5916 (b) 1 (c) 4
c
Which is the closest to -0.8? (a) -5 (b) 2 (c) 122 (d) -35 (e) 295
b
Which is the nearest to 16? (a) -15 (b) 5 (c) 2/5 (d) 113
b
Which is the nearest to 1/5? (a) -12.05 (b) 0.5 (c) -0.2 (d) 12 (e) 0.4
e
Which is the nearest to 0.01? (a) -130 (b) 2/11 (c) 2/71 (d) -3 (e) -63 (f) 2
c
What is the closest to 27036 in 9, 1, -0.2, -3/7, 0.2?
9
Which is the closest to 338? (a) 6 (b) -17/26 (c) -1/8 (d) 0
a
What is the nearest to -309 in -5/9, 1/5, -2, -2.4, -8?
-8
What is the closest to 5 in -7, 30/17, 1, -0.4, 11?
30/17
What is the nearest to -58 in -1.9, -6.21, -4?
-6.21
What is the nearest to -0.3 in 69397/5, 15, 0.5, -5, 1?
0.5
Which is the closest to 1? (a) 0.3 (b) -439 (c) -10 (d) 0.05
a
What is the closest to 2 in 0.022, 490, -0.09, 4?
0.022
Which is the nearest to -1/6? (a) -34 (b) -101 (c) 1/9 (d) 0.2
c
What is the closest to 2 in -1/7, -2, 1/6, 91, 176/5?
1/6
Which is the closest to -42/1297? (a) -8 (b) 0.4 (c) 0.056
c
Which is the nearest to -4? (a) -1.15 (b) -9/4 (c) 0.1 (d) 4
b
Which is the nearest to 168? (a) -5 (b) 4 (c) 1/2 (d) -253 (e) 0 (f) 2
b
What is the nearest to 1/3 in 4/39, -5, 0.01486?
4/39
Which is the closest to 256? (a) 2/35 (b) -70 (c) 3
c
Which is the nearest to 70? (a) -0.2 (b) 0.4 (c) 2/12373 (d) 0
b
What is the nearest to 1 in -2.3, 0.15, 1/754, 2?
0.15
What is the nearest to 29 in -7/6, -1/9, -152, -0.12?
-1/9
Which is the closest to 2/5? (a) -0.309 (b) 0 (c) -0.3 (d) 4/7 (e) -16/3
d
What is the nearest to -1 in 2/3, -3, -0.03, -7, 1/405?
-0.03
What is the nearest to 15 in 12.8, 37/4, -151?
12.8
What is the closest to 10.7647 in -2, -3, -0.06, -0.3?
-0.06
Which is the closest to 126.3? (a) -1 (b) 4 (c) 2.4421
b
What is the closest to -0.4 in -66, 319, 24, 0.2, 2, -2?
0.2
What is the closest to 104 in 10, 18, -2/77?
18
What is the nearest to -7/2 in 111, 10/67, 1/5?
10/67
Which is the nearest to -0.0577? (a) 5.2 (b) -0.4 (c) -0.5 (d) 0
d
What is the nearest to 0 in 13, 0.0161, 0.3, -3/4?
0.0161
What is the nearest to -28 in 0.2, 0.4, 1.827, 4/11?
0.2
What is the closest to -9042/7 in 0, -1/7, 0.03, 0.2?
-1/7
Which is the closest to 0? (a) -2/139 (b) -17/3 (c) 0.3 (d) -5 (e) 3/2 (f) 306
a
What is the nearest to -170073 in 9, 0.5, 5?
0.5
What is the nearest to 170 in 2, -2/5, -0.2, -7.5, 0?
2
What is the nearest to -0.36 in -1/7, -0.8709, -4?
-1/7
What is the nearest to 1 in 4, 3, -49814, 1/3, -0.4?
1/3
What is the nearest to 90 in 1.67, 16, -3?
16
Which is the closest to -0.2? (a) -4 (b) 49 (c) -2527 (d) 5
a
What is the nearest to 0.07 in -0.1, -55/6, -0.01, 3?
-0.01
What is the closest to 6 in -3/4, -9/4, 5/2, -61?
5/2
Which is the nearest to -14/9? (a) 3457797 (b) 4 (c) -5
c
What is the nearest to 106 in 2, -149, 2/3, 7, 5?
7
What is the nearest to 0.1 in -0.1, 0.33, -1/5, 0.1, -10698?
0.1
Which is the nearest to -0.63? (a) 3/245 (b) 0.8 (c) -2/13
c
Which is the closest to -412? (a) 5 (b) 10/57 (c) 3 (d) 4/9
b
Which is the nearest to -3133? (a) 0 (b) 59 (c) 3/56 (d) 1/3
a
Which is the nearest to 0.044? (a) 7 (b) -1.1 (c) -5
b
What is the closest to -2/25 in -6, 0.35, -2.7?
0.35
What is the closest to -14 in -2/7, -263/6, 1.88?
-2/7
Which is the closest to 21? (a) 24/7 (b) -1/5 (c) 3 (d) -5.656
a
Which is the closest to -5.4? (a) -1.01 (b) 2/17 (c) 5 (d) 2 (e) -5
e
Which is the nearest to 1? (a) -1/3 (b) 8/153 (c) -5 (d) -0.0413
b
Which is the closest to 5/9? (a) 749 (b) 0.1 (c) 3 (d) 1
d
Which is the closest to 93179? (a) -0.2 (b) 2/7 (c) -3 (d) -0.4 (e) -4
b
Which is the closest to 0? (a) 2/13 (b) 8391 (c) -2/5 (d) 19 (e) 0.22
a
Which is the nearest to 1/86? (a) 0.2 (b) -1/10 (c) 4/9 (d) 0.1 (e) 0.8
d
Which is the nearest to 0.028? (a) 124 (b) 0.08 (c) -4 (d) 13
b
Which is the closest to -10162? (a) 1 (b) -4 (c) -0.47
b
What is the closest to -8/19215 in -5, -0.2, -2/5?
-0.2
What is the closest to 0 in -1, 6/19, -496/19, 1/4?
1/4
Which is the closest to 1121? (a) -5 (b) -110 (c) 1/11 (d) -51
c
Which is the closest to 129? (a) -2/13 (b) -0.00825 (c) -2/7 (d) 4
d
What is the closest to -5/4 in 0.1, 2/9, 1, 0, 4017?
0
Which is the closest to 0.683? (a) -427 (b) 4/23 (c) -1 (d) 5
b
What is the nearest to -3017 in -1101, 2/13, -2/5?
-1101
Which is the closest to -1279.463? (a) 0 (b) -5 (c) -6/11 (d) 0.5
b
Which is the closest to -0.7? (a) 56 (b) -9 (c) -61
b
Which is the nearest to -2? (a) 1/8 (b) -108 (c) 4 (d) -211/3
a
What is the closest to 3 in 11/144, -1/8, -5, 1/11, -37?
1/11
Which is the nearest to -5? (a) -8/3 (b) 15.5 (c) -61 (d) -1
a
What is the closest to 0 in 631, 2, 54/209?
54/209
Which is the closest to 1.8? (a) -1 (b) 4.1 (c) 12 (d) -2/25
d
Which is the nearest to 134? (a) -0.05 (b) -3/11 (c) 0.026 (d) 5
d
What is the nearest to -5 in 2/7, -4, -131, 0.08, -2/15?
-4
What is the closest to -5/2 in -1053, 43/3, 2, 2/13, 5, -1/6?
-1/6
Which is the closest to -8? (a) 0 (b) -0.3 (c) -7331 (d) -0.4
d
Which is the nearest to 2/3? (a) -6097 (b) 0.04 (c) -0.2 (d) 2/5
d
What is the nearest to -1 in -7, 4, 76/9, -0.136?
-0.136
Which is the closest to -2/5? (a) 2/9 (b) -42.978 (c) -0.3
c
What is the nearest to -63 in 1/5, -55/19, 2/5?
-55/19
Which is the closest to -2? (a) 0 (b) -47 (c) 4 (d) -133
a
What is the closest to -6.869 in 0.018, 4, -5, -2/7?
-5
Which is the closest to 2? (a) -2/15 (b) 0.4857 (c) 0.5 (d) 1 (e) -1/63
d
Which is the nearest to -374247? (a) 3 (b) -1 (c) 1/12
b
Which is the closest to -2? (a) -3/5 (b) 0.1 (c) 1275/251 (d) -0.1
a
Which is the closest to -7806? (a) -2287 (b) 3 (c) 0.3 (d) -2/7
a
Which is the closest to 1/2? (a) 2033 (b) -109 (c) -3 (d) -560 (e) -2
e
Which is the closest to 1? (a) -3161 (b) -4 (c) 0.35 (d) 0.2 (e) -2
c
What is the closest to 3 in 0.11, -18052, -4?
0.11
| {
"pile_set_name": "DM Mathematics"
} |
. Suppose -3/2*l**2 + b + l = 0. Calculate l.
-1/3, 1
Suppose 6*n - 48 = 3*n. Suppose 5*d = -3*d + n. Suppose 0*a + 0*a**3 + 1/4*a**d - 1/4*a**4 + 0 = 0. What is a?
-1, 0, 1
Let o be 1*21/(2 + 1). Factor -3 + o - 3*f**2 + 0 - 4*f.
-(f + 2)*(3*f - 2)
Let o be (1/(-1) + 0)/(210/(-84)). Find d such that 0 - 2/5*d**3 - 2/5*d**2 + 2/5*d**4 + o*d = 0.
-1, 0, 1
Let i(l) = -l**4 - l**3 - l**2 + l - 2. Let x(b) = 5*b**4 + 4*b**3 + 4*b**2 - 4*b + 9. Let t = 4 + -6. Let d(w) = t*x(w) - 9*i(w). Determine n so that d(n) = 0.
-1, 0, 1
Suppose -18 = 25*j - 34*j. Find u such that -9/7*u**3 + 0 + 3/7*u**4 + 9/7*u**j - 3/7*u = 0.
0, 1
Let t(p) be the second derivative of -p**6/15 + p**5/30 + p**4/9 - p. Suppose t(q) = 0. Calculate q.
-2/3, 0, 1
Let w(k) be the third derivative of 0 + 1/30*k**5 + 1/6*k**3 + 1/240*k**6 + 5/48*k**4 + 0*k + 2*k**2. Solve w(z) = 0 for z.
-2, -1
Let w = -3 + 5. Suppose w = l - 0. Factor 4 - 3*g**l - 5*g**2 - 6 - 8*g.
-2*(2*g + 1)**2
Let r(c) be the second derivative of c**7/126 - c**6/18 + c**5/6 - 5*c**4/18 + 5*c**3/18 - c**2/6 - 22*c. Find h such that r(h) = 0.
1
Let m be (-6)/(12/(-10)) - 9/3. Determine v so that 12/5 + 21/5*v**3 + 3*v**m - 48/5*v = 0.
-2, 2/7, 1
Let b(p) be the second derivative of -p**4/3 + 2*p**3 + 8*p**2 - 2*p. Factor b(k).
-4*(k - 4)*(k + 1)
Suppose -c - 3*n - 31 = 15, 4*c + 210 = n. Let q be (-1)/3 + c/(-12). Factor -11*l**3 + l + 0*l**3 - 9*l**2 + 2 - 5*l**q - 2*l**3.
-(l + 1)**3*(5*l - 2)
Let x = 939/5 - 187. Let j(f) be the first derivative of x*f + 3 + 3/5*f**2 + 0*f**3 - 1/10*f**4. Factor j(r).
-2*(r - 2)*(r + 1)**2/5
Let v be (-40)/(-7) + 1*(-14)/(-49). Let x(q) be the second derivative of 0 + 1/60*q**v + 0*q**3 + 0*q**4 + 1/40*q**5 - 2*q + 0*q**2. Factor x(a).
a**3*(a + 1)/2
Let s(p) be the second derivative of -10/9*p**4 + 8/9*p**3 + 1/63*p**7 + 0*p**2 + 0 - 7/45*p**6 + 3/5*p**5 + 2*p. Find j, given that s(j) = 0.
0, 1, 2
Let y(o) = 6*o**3 - 2*o + 1. Let q be y(1). Let r be (q/(-15))/((-2)/12). Let -1/3*s**r + 1/3 + 0*s = 0. Calculate s.
-1, 1
Determine f, given that 1/3*f**2 + 0 + 0*f - 1/3*f**3 = 0.
0, 1
Solve 5*j**3 + 10/3*j + 0 - 5/3*j**5 + 25/3*j**2 - 5/3*j**4 = 0 for j.
-1, 0, 2
Let s(c) = 4*c**2 - 1. Let k be s(-1). Determine i so that k*i - 16*i**2 + 12 - i - 46*i = 0.
-3, 1/4
Let b be 15/(-35)*-1 - (-3)/21. Suppose -b*w**3 + 0 + 0*w**2 + 0*w + 6/7*w**4 = 0. Calculate w.
0, 2/3
Let a(o) be the first derivative of -3*o**4/20 + 6*o**3/5 - 27*o**2/10 + 12*o/5 + 12. Determine w, given that a(w) = 0.
1, 4
Let f(x) = x**2 + 7*x + 8. Let l be f(-6). Factor 0*k + 0*k**2 + 2*k**2 - l*k.
2*k*(k - 1)
Let o(d) be the third derivative of d**6/40 - d**5/20 - d**4/2 + 2*d**3 - 5*d**2. Factor o(m).
3*(m - 2)*(m - 1)*(m + 2)
Let f(a) be the second derivative of a**5/90 - a**4/54 - 33*a. Find t such that f(t) = 0.
0, 1
Let j be 4*(-3 + (-124)/(-40)). Let 2/5 + j*p**2 + 4/5*p = 0. What is p?
-1
Let v = 11/6 + -3/2. Suppose 1/3*w**2 + 0 + 0*w - v*w**3 = 0. Calculate w.
0, 1
Let x(l) be the third derivative of -1/54*l**4 + 1/540*l**6 + 0 - 7*l**2 + 1/270*l**5 + 0*l + 0*l**3. Factor x(t).
2*t*(t - 1)*(t + 2)/9
Let f(r) be the second derivative of r**4/6 - r**2 - 7*r. Factor f(a).
2*(a - 1)*(a + 1)
Factor 0*r + 6/5*r**2 - 3/5*r**3 + 0.
-3*r**2*(r - 2)/5
Let g(d) be the second derivative of 3*d**5/4 - 5*d**4/6 - 5*d**3/2 + 5*d**2 + d. Factor g(t).
5*(t - 1)*(t + 1)*(3*t - 2)
Let u(f) = -f**2 - 3*f + 10. Let p be u(-5). Let q = -369/7 - -53. Factor -q*h**3 + p - 2/7*h + 4/7*h**2.
-2*h*(h - 1)**2/7
Let p(q) be the third derivative of -5/96*q**4 + 0 + 0*q + 2*q**2 - 1/240*q**5 - 1/8*q**3 + 1/480*q**6. Find h such that p(h) = 0.
-1, 3
Factor -2/3*y**3 + 2/3*y + 4/3 - 4/3*y**2.
-2*(y - 1)*(y + 1)*(y + 2)/3
Let t(v) = -5 - 1 + 0 + 2*v. Let o be t(4). Factor 12/5*s**4 + 0 + 9/5*s**3 + 0*s - 3/5*s**o.
3*s**2*(s + 1)*(4*s - 1)/5
Let s(g) = -3*g**2. Let a(d) = 5*d**2 + d. Let b(c) = -3*a(c) - 4*s(c). Factor b(t).
-3*t*(t + 1)
Suppose -16 = -u - u. Suppose 0*v + 6 = r + 5*v, -3*v = r - u. Factor -k**3 - 12*k - k**2 + r*k - k**2.
-k*(k + 1)**2
Let l(i) = i**2 + 8*i - 4. Let j be l(-8). Let b(w) = -w**3 - 5*w**2 - 6*w - 6. Let o be b(j). Find z such that -2 + z**2 + o = 0.
0
Let n(m) be the first derivative of -m**6/30 + m**5/20 + m**4/12 - m**3/6 - 3*m + 3. Let j(q) be the first derivative of n(q). Suppose j(v) = 0. Calculate v.
-1, 0, 1
Let c = 1/14 + -5/42. Let o = c - -3/14. Factor 1/6*k**4 - 1/6*k**3 - o*k**2 + 1/6*k + 0.
k*(k - 1)**2*(k + 1)/6
Let k(h) = -h**2 - h - 9. Let a be k(0). Let d be (-3)/a + (-3)/(-18). Find t, given that 0 + 1/2*t**3 + d*t**2 + 0*t = 0.
-1, 0
Let k(v) be the second derivative of 0 + 3*v - 1/3*v**3 - 1/30*v**5 + 1/6*v**4 + 1/3*v**2. Factor k(o).
-2*(o - 1)**3/3
Let b(a) = 2*a**3 - 2*a**2 + 3*a - 2. Let n be b(2). Let y be ((-1)/(-6))/(n/16). Factor 0*p**3 - y*p**4 - 2/9 + 0*p + 4/9*p**2.
-2*(p - 1)**2*(p + 1)**2/9
Let b(i) = -9*i**2 + 9*i**2 + 10*i**2 + 9*i. Let y(v) = -5*v**2 - 5*v. Let l be (-8)/(-6)*75/10. Let k(p) = l*y(p) + 6*b(p). Factor k(d).
2*d*(5*d + 2)
Let y be 0/((-6)/(12/(-4))) + 4. Factor -y*n - 1/2*n**4 - 3*n**3 - 6*n**2 + 0.
-n*(n + 2)**3/2
Let v(l) be the first derivative of 1 + 1/300*l**5 + 0*l + 1/2*l**2 + 1/60*l**4 + 0*l**3. Let j(y) be the second derivative of v(y). What is d in j(d) = 0?
-2, 0
Let u = 621 - 75143/121. Let f = 117/242 - u. Suppose 0 + 1/2*g**2 + f*g = 0. What is g?
-1, 0
Let c(y) = y**3 - 6*y**2 + 4*y + 5. Let m be c(5). Suppose -2*t + t + 2*r - 4 = m, 5*t + 4*r = 22. Factor 2 - t - 8*n + 32*n**2 + 0*n**3 - 30*n**3.
-2*n*(3*n - 2)*(5*n - 2)
Suppose 4*c + 20 = 4*a, 0*a + 13 = a + c. Suppose -o + a = 2*o. Determine v, given that -2*v**o + 5*v**4 - 3*v**4 + 4*v**3 = 0.
-1, 0
Solve -53*j**3 + 0*j**2 + 0*j**2 + 49*j**3 = 0.
0
Let x(r) be the second derivative of 0 + 2/15*r**4 + 0*r**2 + 1/15*r**3 + 1/105*r**7 + 4/75*r**6 - 5*r + 3/25*r**5. Factor x(q).
2*q*(q + 1)**4/5
Suppose 4*c = -4*p + 24, c = -3*p + 6*c - 14. Factor -10*l + 4*l + 2*l**3 + 4*l**3 - 2*l**p - 15*l**4 + 17*l**2.
-3*l*(l - 1)*(l + 1)*(5*l - 2)
Suppose 4 = -2*w - 6. Let q = -4 - w. Factor -5*i**4 - i**4 + q - 2*i + 5*i**4 + 2*i**3.
-(i - 1)**3*(i + 1)
Let z(p) be the first derivative of -p**6/60 + p**5/10 - p**4/4 + p**3/3 - 4*p**2 - 2. Let g(s) be the second derivative of z(s). Factor g(o).
-2*(o - 1)**3
Let h(p) be the second derivative of -5/6*p**3 + 2*p - 4/3*p**4 + p**2 - 9/20*p**5 + 0. Let h(t) = 0. What is t?
-1, 2/9
Suppose 0*q = -3*q + 4*t - 14, 2*q + 3*t = 19. Suppose 4*d - 4*g = 12, 0*d + 2*d + q*g = 2. Suppose 4/7*w + 0 - 2/7*w**d = 0. What is w?
0, 2
Let w = -15/4 - -4. Suppose w*b**4 + b**3 + 0 + b**2 + 0*b = 0. What is b?
-2, 0
Let j(i) be the third derivative of -1/672*i**8 + 0*i + 0*i**3 + 1/120*i**5 - 2*i**2 + 0*i**4 + 1/140*i**7 - 1/80*i**6 + 0. Find b such that j(b) = 0.
0, 1
Determine t so that -13*t**3 + 8*t**3 + t**3 = 0.
0
Let i(z) be the first derivative of -z**4/18 - 8*z**3/27 + 5*z**2/9 + 41. Factor i(t).
-2*t*(t - 1)*(t + 5)/9
Let o = -63524/31 - -42252636/20615. Let w = 12/95 + o. Solve 2/7 - 6/7*q**2 + w*q = 0.
-1/3, 1
Let o(z) be the first derivative of -5/7*z**2 - 1 + 2/3*z**3 - 4/7*z. Factor o(m).
2*(m - 1)*(7*m + 2)/7
Let z(n) be the first derivative of -2/3*n**3 + 0*n**2 + 2/5*n**5 + 1 + 0*n + 1/2*n**4 - 1/3*n**6. Find f, given that z(f) = 0.
-1, 0, 1
Solve -16 + 5*u**2 - 6*u - 8*u**2 + u**2 - 6*u = 0.
-4, -2
Let h = -65 - -69. Let v(y) be the first derivative of -1/12*y**6 + 0*y**h + 1/5*y**5 - 1/3*y**3 - 1 + 0*y + 1/4*y**2. Factor v(l).
-l*(l - 1)**3*(l + 1)/2
Let m(p) be the first derivative of p**7/1680 - 2*p**3/3 + 2. Let o(l) be the third derivative of m(l). Factor o(w).
w**3/2
Let d be -1 - (0 + (-9)/6). Let x(v) be the second derivative of -1/3*v**3 + 0*v**2 + 2/5*v**5 + d*v**4 - v + 0. Factor x(o).
2*o*(o + 1)*(4*o - 1)
Let h be -1 - 9 - (-5 + 4). Let q(d) = -5*d**4 + 8*d**3 - 10*d**2 + 3. Let y(b) = 11*b**4 - 17*b**3 + 21*b**2 + b - 7. Let m(k) = h*q(k) - 4*y(k). Factor m(l).
(l - 1)**4
Let s(h) be the third derivative of -1/6*h**4 + 1/30*h**5 + 0*h**3 + 0 + 0*h - h**2. Suppose s(q) = 0. What is q?
0, 2
Let x(h) be the second derivative of -h**6/120 + h**5/60 - h**2 + 2*h. Let v(a) be the first derivative of x(a). Factor v(j).
-j**2*(j - 1)
Let p be | {
"pile_set_name": "DM Mathematics"
} |
, 3
Suppose -11*k = -16*k + 90. List the prime factors of k.
2, 3
Let u = -3 - -5. What are the prime factors of u/(-1)*(-7 + 2)?
2, 5
Let b(r) = r**2 + 4*r + 6. Suppose 5*i - 54 - 26 = 0. Suppose 3*h + i - 1 = 0. List the prime factors of b(h).
11
Suppose 168*r = 171*r - 720. What are the prime factors of r?
2, 3, 5
Let d(z) = -2*z**3 - 27*z**2 + z - 10. Let x(m) = -m**3 - 13*m**2 - 5. Let s(i) = -3*d(i) + 7*x(i). List the prime factors of s(-10).
5
Let f(o) = o - 3. Let q be f(6). What are the prime factors of 109/4 + q/(-12)?
3
Let t be 1/2 - (-26)/4. Let f = t - -18. List the prime factors of f.
5
Suppose 4*x - 6*y = -y - 29, -3*y + 35 = -4*x. Let p(k) = k + 16. List the prime factors of p(x).
5
Let h = 6 - -8. What are the prime factors of (-16)/(-1)*h/28?
2
Let v = -12 + 12. List the prime factors of (-9 - 0)/(-1 + v).
3
Suppose 5*o - 10 = -3*m, 5*m = 3*o + o - 8. Suppose 2*v - 4*v + 36 = m. What are the prime factors of v?
2, 3
Suppose 3*z - 4*o + 2 = 37, -o - 20 = -3*z. Suppose z = -2*q + 1. What are the prime factors of (1 - (0 + q))*4?
2, 3
Suppose 0 = 5*y - y - 4. Let p be (2/(-4))/(y/(-8)). Suppose 4*u = 4 + p. List the prime factors of u.
2
Let l(q) = q - 4. Let w be l(6). Let x(m) = -w*m**2 + 3*m**2 + 0*m**2 + 4. List the prime factors of x(0).
2
Let b = 41 + -11. List the prime factors of b.
2, 3, 5
Suppose t - 4*o - 11 = 0, t - 2*t = 3*o - 25. What are the prime factors of (t - 3) + -1 - -1?
2
List the prime factors of 102/(-1 - (-3)/1).
3, 17
Let h = -9 + 13. Suppose 0*l + h*l - 96 = 0. Suppose -2*p - p + l = 0. List the prime factors of p.
2
Suppose 0 = 2*x - 4*a + 2*a - 58, -49 = -2*x - a. What are the prime factors of x?
2, 13
Let l(r) = -r**2 - 9*r - 6. Let k be l(-9). Suppose -39 + 3 = 2*g. Let q = k - g. List the prime factors of q.
2, 3
Let j(f) = -f - 2. Let h be j(-7). Let w be (-6)/h*(-5)/2. Let m = w - -2. What are the prime factors of m?
5
Let n be (4/6)/(4/30). Suppose -4*v - 4*l + 55 = -73, n*v + l - 152 = 0. Suppose 5*t - v = -q - 3*q, 3*t + 4*q - 26 = 0. List the prime factors of t.
2
What are the prime factors of (-52 + 2)*27/(-18)?
3, 5
Suppose -5*u + v = -0*v - 20, -4*u = v - 25. Suppose b = -2*s + 14, 0 = -3*b - u*s + 26 + 17. Suppose 4 - b = -3*t. List the prime factors of t.
2
Suppose -2*d - 5*d + 7 = 0. Suppose -8 - 2 = -2*x. Suppose -m + d = -x. What are the prime factors of m?
2, 3
Suppose -206 = -5*w - 0*s - 2*s, -s - 212 = -5*w. Suppose -v + 12 = o + 2, 0 = -5*v - 3*o + w. What are the prime factors of (-22)/(-4) - 3/v?
5
Suppose -5*g + 0*g - 15 = 0. Let n = 0 - g. Suppose -3*h - 2*p = -4*p - 14, -p = n*h - 11. List the prime factors of h.
2
Suppose -a = 5*w + 25, 0 = 2*a + 3*w + 7 + 22. Let y = a + 16. List the prime factors of y.
2, 3
Suppose 4 = -f + 2*f. Suppose -4*z = b - f, -3*b = 3*z - z - 12. Suppose 4*x - 2*n - 22 = -8, z = -x + 4*n + 7. List the prime factors of x.
3
Let g(o) be the first derivative of 8*o**3/3 + o**2 - o + 5. What are the prime factors of g(1)?
3
Let h be 1644/28 - 4/(-14). Let c = 17 - h. What are the prime factors of ((-6)/9)/(4/c)?
7
Suppose 0 = -f + 2, 4*r - 40 = -f - f. What are the prime factors of r?
3
Let k = 10 + -7. Let t be 110/3 + (-2)/k. Suppose 3*a + 0*a - t = 0. List the prime factors of a.
2, 3
Suppose 3*c = 12, -2*v + 46 = -v + 3*c. List the prime factors of v.
2, 17
Let g(n) = n**2 + n. Let x be g(-2). Let z(d) = -5*d**2 + 2. Let k be z(x). Let s = -8 - k. What are the prime factors of s?
2, 5
Let i(p) = p. Let b be i(-4). What are the prime factors of (0 + b - -49) + -3?
2, 3, 7
Let t(q) = q**2 + 2*q + 2. Let c be t(-5). Let y = c + -31. Let n = y + 23. What are the prime factors of n?
3
Suppose 0 = 5*t - 0*t - 15. Let g be (-2)/(-4) + 38/4. Suppose -8 - g = -t*y. List the prime factors of y.
2, 3
Let p(a) = 5*a + 11. What are the prime factors of p(6)?
41
Let k be 4 + -3 - (-35 - 0). Suppose 3*h + 3 = u + 4*h, -2*h - k = -5*u. Let v = 9 - u. List the prime factors of v.
3
Suppose 0 = 2*y - 4*o, -y = y + 5*o. Suppose 2*i + y = -4. List the prime factors of 0 + (-2)/(i/7).
7
Let a be (-15 - -9)*(-1)/2. What are the prime factors of 2/a*(47 + 1)?
2
Suppose 6*k = k + 5*a + 590, 2*a - 379 = -3*k. What are the prime factors of k?
3, 41
Let q(i) = -i - 3. Let a be (2 - 0)/(-1) - -6. Suppose 2*c + 22 = -2*d, a*d + 19 = 3*d - 3*c. List the prime factors of q(d).
2
Suppose -44 - 92 = -2*p. What are the prime factors of p?
2, 17
List the prime factors of (1 + -3 + 4 - -109) + 2.
113
Let a = 20 - 8. Let s = -7 + a. Suppose s*g - 84 + 24 = 0. What are the prime factors of g?
2, 3
Let f(s) = s + 16. Let w(p) = -p**2 - p + 2. Let r be w(-2). Let m be f(r). Suppose a - 2*v - m = 0, -v = -4*a - 5*v + 40. List the prime factors of a.
2, 3
List the prime factors of (-14)/20*-16*5.
2, 7
Suppose -261*u + 266*u = 710. What are the prime factors of u?
2, 71
Let a(b) be the third derivative of b**4/8 - 2*b**3/3 - 2*b**2. List the prime factors of a(5).
11
Let n = 12 - -10. List the prime factors of n.
2, 11
Let k = 5 - 0. Let f(a) = -a**3 - a**2 - 2. Let x be f(-2). Suppose 0*m = m - k*b + 4, -3*m + 27 = -x*b. What are the prime factors of m?
11
Suppose 3*o - 959 = -5*j, j - 4*o = -8*o + 202. What are the prime factors of j?
2, 5, 19
Suppose 0 = -3*f + 14 - 5. Suppose -f*n = -n - 16. List the prime factors of n.
2
Suppose 3*p + 31 = 7. Let n = p + 21. Let y = n - 6. List the prime factors of y.
7
Let k = 9 - 8. Suppose -j - 2*j = -6. List the prime factors of (-2 + j)/k - -7.
7
Suppose -3*y - 102 = 15. Let p = 56 + y. List the prime factors of p.
17
Suppose -2*a + 31 = 2*h + h, 25 = 3*h - a. List the prime factors of h.
3
Suppose 4*u + 246 = 2*t, -3*t - 4*u - 25 + 344 = 0. What are the prime factors of t?
113
Let g be 36/54*2*3. Let s(k) = k**2 - 6*k - 5. Let h be s(-5). Suppose t - h = -g*t. List the prime factors of t.
2, 5
Let h be -1*(2 + -1) + 9. Suppose -h = 5*c + 17, 0 = -q - c - 2. What are the prime factors of q?
3
Let c(d) = 144*d**3 - 3*d**2 + 2. List the prime factors of c(1).
11, 13
Let a(l) = l**2 + 3*l. Let p be a(-4). Suppose -2*f - 3*f = 5. Let g = p - f. What are the prime factors of g?
5
Let o = 20 + -17. Let f(c) be the third derivative of c**6/120 - c**5/20 + c**4/24 + c**3/3 + c**2. What are the prime factors of f(o)?
5
Let t be (-161)/(-35) + (-2)/(-5). List the prime factors of 217/t - 16/40.
43
Suppose -5*k + 29 = 2*z, 5*k + 5*z = 4*z + 27. Let l be (-1 + 0)*(-3 + 1). Suppose -l*n = -d + 15, 0 = -0*d - k*d + 3*n + 68. List the prime factors of d.
13
Suppose 3*f + 2*h - 46 = 0, 0 = -0*f + 2*f + 5*h - 38. Let b = 65 - f. What are the prime factors of b?
3, 17
Suppose -d - 5*d + 90 = 0. List the prime factors of d.
3, 5
Suppose -7 = 3*r - 4*k - 0, 0 = -4*r + 4*k - 4. List the prime factors of r.
3
Let d(u) = -u + 6. Let k be (-9 + 2)*24/14. What are the prime factors of d(k)?
2, 3
Suppose 2*b - 6*b = -8. Let h(m) = 3*m**3 + 2*m**2 + 2. Let c(a) = -a**3 - a**2 - a - 1. Let z(x) = 2*c(x) + h(x). List the prime factors of z(b).
2
Let f = 1 - -81. List the prime factors of f.
2, 41
Let v = -96 + 181. Suppose 4*j + v = 9*j. What are the prime factors of j?
17
Let r be (-2)/6*(2 + -11). Suppose r*f + 15 = 2*p, -5*p + 2*f - 6*f + 72 = 0. What are the prime factors of p?
2, 3
Suppose 25 = 5*i, -u - 5*i = -0*u - 161. What are the prime factors of u?
2, 17
Let b(s) = -s**3 - 15*s**2 + 6*s - 50. What are the prime factors of b(-16)?
2, 5, 11
Suppose d - 89 = -2*f - 4*d, -3*f + 102 = -3*d. What are the prime factors of f?
37
Suppose -3*h + 7*h = 0. Suppose -4*i - 3 = -0*i + l, -4*i = 4*l + 12. Suppose h*z + 3*z + 2*b = -2, i = -4*z - b + 4. List the prime factors of z.
2
Let t be (-50)/4*(-4)/5. Let s = 8 + -13. Let k = t + s. List the prime factors of k.
5
Suppose 0 = 13*x - 17*x + 384. What are the prime factors of x?
2, 3
Suppose -2*q = 3*q + 105. Let y = -14 - q. Suppose -3*v + y = -38. What are the prime factors of v?
3, 5
Suppose -3*t + 30 = -t. Let v = t + 18. List the prime factors of v.
3, 11
Let g(d) = d**2 + 5. Let n be g(0). Suppose 0 = -5*c + n, -3*c + 0*c = -a. What are the prime factors of a?
3
Let x(o) = -1 - 3*o - 3 - 5*o + 3. What are the prime factors of x(-4)?
31
Suppose -14*j = -9*j - 260. List the prime factors of j.
2, 13
Let m(a) = -a - 3 | {
"pile_set_name": "DM Mathematics"
} |
ng w is positive.
w**(-463/42)
Simplify (i/(i*i**33/i))**(-1/7)/(i/i**(-12)*i*i/(i**50/i)) assuming i is positive.
i**(270/7)
Simplify (v**2/(v/(v**(-5)*v)))**(-4/17)*(v*v**(2/7))**(-48)*((v/v**0)/v)**(-4) assuming v is positive.
v**(-7260/119)
Simplify ((((k/(k/k**1))/k)/k)/((k**(-1)*k)/k))**(1/5)/(k/k**(-3)*k*k**(3/5))**(-46) assuming k is positive.
k**(1288/5)
Simplify ((s*s**1)**(-9/5))**(10/3)*(s**1)**44*s**(-3/10)*s**(-1/6)/s assuming s is positive.
s**(458/15)
Simplify ((y**(2/9)/y)**(-34)*(y/(((y**1/y)/y)/y*y))**(-20))/((y*y/((y*y*y**(-1/4))/y))**(-2/99)*(y/(y/((y*y**(-6))/y)))/y*y/y**(-2/9)) assuming y is positive.
y**(-1535/198)
Simplify (b**(2/17)/((((b*b/b**47)/b)/b*b*b)/b*b)*b**(2/7)/b*b**(-42)/b)**(-3/7) assuming b is positive.
b**(-501/833)
Simplify (((t**6/((t**(-2/9)*t)/t))/(t**(1/4))**(-36))**39)**17 assuming t is positive.
t**(30277/3)
Simplify ((n*n**1/n)**11)**(-49)/((n*n**2*n*n)**(-1/17))**14 assuming n is positive.
n**(-9093/17)
Simplify ((b/b**(3/8))**(-12/7)*(b/b**(-2))/(b/((b*b/b**(2/7)*b)/b)))**(4/15) assuming b is positive.
b**(74/105)
Simplify y**(-2/7)/(y**1*y)*(y*y**1)**(3/13)*((y*y**0/y)/y)**27/(((y**(-2/7)*y)/y)/(y/y**(-2))) assuming y is positive.
y**(-332/13)
Simplify ((m**(4/11)/m*m)**(-2/29)/(m*(m*m/(m**(-10)/m))/m)**(-2/31))**(1/13) assuming m is positive.
m**(8046/128557)
Simplify n/n**(-24)*n**(-30)*n**(-1/38)/(n**(2/19)*n) assuming n is positive.
n**(-233/38)
Simplify (g**14*g/(g**24*g*g*g)*(g**10)**(-8))**(-1/77) assuming g is positive.
g**(92/77)
Simplify (o/(o*o*o**1*o))**(2/3)/((o/(o**(-6)/o))/(o*o*o**(-2/13)*o))*((o/((o**(-2)/o)/o))/o)**(-10)/(o**(-1/4)/o*o**6*o) assuming o is positive.
o**(-2751/52)
Simplify ((p/(p**(-3/11)*p)*p**7*p)/((p/p**(3/8))/(p*p*p*p/p**2*p)))**31 assuming p is positive.
p**(29047/88)
Simplify ((t**(-1))**(-7/9)/((t*t**(-1/4))/((t/(t*t/((t/t**4)/t)))/t)))/(t*t/(t/t**(-1/4))*t**4)**(-1/22) assuming t is positive.
t**(-4559/792)
Simplify (j/(j**(-1)*j*j)*j)**(-40)/((j**(2/15)/j)/j**1)*j**0*(j/j**(-2/7))/j*(j/((j**0/j)/j*j))**(-47) assuming j is positive.
j**(-13844/105)
Simplify ((x**(1/19)*x)/(x/x**(-10))*(x/(x*x*x*x**(-3))*x)/x**10)**(14/3) assuming x is positive.
x**(-4774/57)
Simplify ((k*k**12*k)/k**(-1/2))**(1/38)*k**(-8)/(k**4/k)*(k*k*k**(2/5))**15 assuming k is positive.
k**(1929/76)
Simplify (f/(f/(f**14/f)*f))/(f/((f*f*f**30)/f))*(f**(4/17))**(1/4) assuming f is positive.
f**(715/17)
Simplify (w/(w**2*w)*(w**(-2/3)/w)/w)/(w**(1/8)/w*w**0)*((((w*w*w**0)/w)/w)/w*w*w)**0*(w**(-1))**34 assuming w is positive.
w**(-907/24)
Simplify ((x**9)**(1/33)/(x/(x*x*x**18*x)*(x/(x/(x/(x/(((x**15*x)/x*x*x)/x)))))/x))**(1/10) assuming x is positive.
x**(29/55)
Simplify ((y**9*y)/(y*y*(y*y**(1/7))/y)*y*y**(-9)/y*y*y*y**(1/2))**(1/3) assuming y is positive.
y**(19/42)
Simplify ((l**(-2/29)/l)/l*l**(-5)*(l/(l/(l**(1/3)*l*l)))/(l**(3/13)*l))**(12/11) assuming l is positive.
l**(-26992/4147)
Simplify ((s/(s**(2/7)*s))**(-41)/(s**(-5))**22)**(-46) assuming s is positive.
s**(-39192/7)
Simplify ((d*d/d**1)/(d*(d**6/d*d)/d)*(d/d**(-1/7))**(-1/54))**(-2/19) assuming d is positive.
d**(1898/3591)
Simplify (c*c*c*c**(3/7)*c*c)/c**(-2/9)*(c/c**(-7))/(c**(-3/8)*c)*(c**(-1))**(-6/7)/(c**(-2/3))**(-13/5) assuming c is positive.
c**(30617/2520)
Simplify u**38*u*u*u*u**(25/3)/u*(u**(-1/25)/u)**(-25) assuming u is positive.
u**(223/3)
Simplify (((s**1/s)/s)**(1/2))**(-9)*s/s**(2/9)*s**(1/4)*(s**(-1/2)/s)**(1/37) assuming s is positive.
s**(7309/1332)
Simplify ((((f/(f/f**(2/5))*f)/f)/f)**32)**(-2/103)/(((f*f*f**(1/6)*f)/f**(2/3))/(f**(2/5)*f*f*f**(2/7)*f)) assuming f is positive.
f**(11237/7210)
Simplify (((a**(-28)/a)/a**(2/69))/(a*a/a**41*a**29))**(2/29) assuming a is positive.
a**(-2626/2001)
Simplify (((t**(-11)/(t/(t/((t*t**2*t)/t))*t))/(t*t**(-1)/t)**40)**(-27))**(-1/16) assuming t is positive.
t**(675/16)
Simplify (q/q**26*((q*q*q**(-3/8)*q*q*q)/q)/q*q*q/(q*q*q*q/(q*q**8)*q)*q**(-8/7))**(-43) assuming q is positive.
q**(42183/56)
Simplify (((y/y**(-16)*y**21)**(1/14))**(-2/35))**25 assuming y is positive.
y**(-190/49)
Simplify (v*v*v**15*v*v**(1/4)*(v/v**2)**(11/2))**(3/11) assuming v is positive.
v**(153/44)
Simplify ((p**2*p)**(21/5)/((p/p**(-9))/p)**(-2/83))**(-2/7) assuming p is positive.
p**(-10638/2905)
Simplify (l**(-2/19)*l*l**(-3)*l*l**(-3)*l**(3/5)*l*l)/((l*l**(-1))**(-2/117)/(((l/((l/(l*l**(2/7)))/l*l)*l)/l)/((l*l*l**5*l)/l))) assuming l is positive.
l**(-4801/665)
Simplify ((k**1/k**(1/2))/(k/(k/k**(-5/4)*k)*k**1*k))/(k*k**(-3/4)/k*k**(2/7)*k*k*k*k)**(-1/17) assuming k is positive.
k**(114/119)
Simplify ((a/(a*a/(a*(a*(a/a**(-3/5))/a*a)/a)))**(-1/17)*a**(-1)*a/(a*a**(-8))*a*a*a)**(-1/4) assuming a is positive.
a**(-421/170)
Simplify ((n/n**(-1/5)*n*n)/n*(n*n*n*n/(n*n**7)*n*n)/n)**(-31)*n**(-1)*n**4*(n**(2/7)/n*n)**(9/7) assuming n is positive.
n**(6901/245)
Simplify (r**(2/5))**48/((r*r/(r/r**1))/r**(3/2))*((r**(-2/3)*r)**(1/25))**(-7) assuming r is positive.
r**(2791/150)
Simplify (p**1/p*p)**14*p**4*p/p**(-2)*p*(p/p**(-1/15))/(p**(4/7)/p*p)*p**(4/3)*p*p**(-7) assuming p is positive.
p**(624/35)
Simplify (x**(-2/3)*x**10)**(-17)/((x*x/(x/(((x/(x**0*x*x))/x)/x))*x*x)**(-1/74))**46 assuming x is positive.
x**(-476/3)
Simplify (((w*w*w**7)/((w**6*w)/w*w*w))/(w**(-1)/w*w**(-3/5)))/((w*w**0)**(-37))**(-30) assuming w is positive.
w**(-5532/5)
Simplify ((z**2/z*z**(-2/11))/(z*z**(3/8)*z*z**(-5)))/((z/(z/(z/z**(-2))))/z**3)**15 assuming z is positive.
z**(303/88)
Simplify ((c*c**(-3))/c**(-5)*(c**(2/5)/c)**(-45/4))/(((c*c**(-1))/c*c**(3/2))/(c/((c**(-4)*c)/c)*c/c**(-1/5))) assuming c is positive.
c**(309/20)
Simplify (y/(y*y*y**1)*y**(-6))/(y*y**(-2/9)*y*y*y*y/((y*y**(1/10))/y))*(y**4*y**3)**(-21) assuming y is positive.
y**(-14371/90)
Simplify ((m/m**(-4/3))**(15/7)/(m*m/(m**(-20)/m)*m)**35)**(-5) assuming m is positive.
m**4175
Simplify (((i/(i*i**(-2/21)/i))/i*i)/i*i/i**14*(i/((i*i*i**2/i)/i)*i*i)**1)**(-22/9) assuming i is positive.
i**(5500/189)
Simplify ((n*n**(-10/7))/n*n*((n**(4/7)*n)/n*n*n)/n)**(1/60)/((n/((n/n**(-3))/n))/(n*n**(-2/15))*(n**(-2/5)*n)/n*((n**(2/13)*n)/n*n)/n) assuming n is positive.
n**(285/91)
Simplify h**(5/4)/(h/(h/(h/((h/(h**(-8)/h))/h*h))))*(h**0*h)**0*(h/((h*h*h/h**(1/3))/h*h))**(1/9)/(h**(2/15)/(h*h**(-8))) assuming h is positive.
h**(1583/540)
Simplify ((((k*k**(9/5))**(1/30))**(-38))**13)**(-5/3) assuming k is positive.
k**(3458/45)
Simplify (((g/(g*g*((((g/g**(1/2))/g)/g*g)/g)/g*g*g)*g**(-4)*g*g)/((g*g*g/g**(2/7)*g*g*g)/g)**(-2/35))**(-42))**(13/4) assuming g is positive.
g**(42627/140)
Simplify (q*q*q*q**(1/4)*q)**23*q**(1/3)*q*q/(q**(3/7)*q)*((q**(2/9)*q)/q**0)**14 assuming q is positive.
q**(29173/252)
Simplify (q*q/((q/(q/q**(2/11)))/q))/(q**(-8)*q)*q**(-5)/((q*q**(-3/4)*q)/q)*(q**(-10)*q*q**(1/4))**(18/11) assuming q is positive.
q**(-39/4)
Simplify ((o/o**(1/3))**(-42)/(o**(2/9)/((o/o**1)/o)))/((o**0*o**(2/19)*o)/(((o/(o*o**(-5))*o)/o*o)/o*(o*o**(-2))/o)) assuming o is positive.
o**(-4673/171)
Simplify ((s**(-2/11)*s)**(-45)/(s/(s*s**(-5)*s)*s**(-1/8)))**(-2/17) assuming s is positive.
s**(3581/748)
Simplify ((x**(-1/3))**4)**19/((x/(x**(2/5)*x))**(-2/77)*x**(-4)*x/(x**(-2/3)/x)) assuming x is positive.
x**(-9244/385)
Simplify w**2*w*w*w*w**(-2/21)*(w**2)**(2/33)*(w/(w*w*w**(1/7))*w)/w*w*w*w/w**(-9)*w*w*(w/w**(-7))/w*w*w/w**(-2) assuming w is positive.
w**(2224/77)
Simplify t**(14/5)*t*t**(-12/7)*(t**15)**5 assuming t is positive.
t**(2698/35)
Simplify (r**(1/4)/((r*r/((r/((r*r/r**(-10)*r*r)/r))/r*r)*r)/r)*(r**3)**(-21))**0 assuming r is positive.
1
Simplify ((b*b/(b/b**(-4/13))*b)/b*b*b**(-3/13)/b*b**(-2/43)*b*b**(4/5)*b)**(-43) assuming b is positive.
b**(-8986/65)
Simplify ((((j*j/j**(2/17))/(j/((j/j**(4/7)*j)/j)))/((j/(j**(-1/3)*j))/j)**5)**(-8/13))**(-12/5) assuming j is positive.
j**(53056/7735)
Simplify v**(2/179)/v*v*(v*v*v**(-1/22)*v)/v*v*v*((v/((v**(2/3)/v)/v*v))/v)**(-38/9) assuming v is positive.
v**(272015/106326)
Simplify r**2*r*r/((r/(r/r**(-3/7)))/r)*(r*r*r**(-2/3)/r)/r**(-5)*(((r*r*r/r**(2/5))/r)**30)**(3/2) assuming r is positive.
r**(1738/21)
Simplify (((p*p*p**1*p)/p*p)**6)**50*(p**(2/11)*p**2)**(-31) assuming p is positive.
p**(12456/11)
Simplify (n*n*n**(-1)*n*n*n)/(n*n*n*n*n**(1/6))*n/n**(2/5)*n*n*n*n/n**(-1/7)*(((n**(-1 | {
"pile_set_name": "DM Mathematics"
} |
ens digit of t?
2
Suppose 2*u = 6*u + 16. What is the units digit of 8 - (-3 - (u - -2))?
9
Suppose -l - 2*s - 2*s + 86 = 0, -299 = -4*l - s. What is the units digit of l?
4
Let m(i) = -7*i - 8. Let w be m(-6). Let h = w + -20. What is the tens digit of h?
1
Let k be 18/15*10*2. Suppose q = -0*q + k. What is the units digit of (-2)/((q/21)/(-4))?
7
Suppose 4*g - 61 = 4*o + 39, 4*g - 82 = -5*o. What is the units digit of g?
3
Let j be (-2)/(-10)*2*20. Suppose 0 = -2*b - 4*v + 6, 3*b - j*b + v = -15. What is the units digit of (-16)/(-24)*b*1?
2
Let l(d) = 7*d + 1. Let m be l(1). Suppose -5*s + 13 - m = 0. What is the units digit of s?
1
Suppose -2 = 3*h + 1. Let r(n) = 6*n**2 + 2*n + 1. Let a be r(h). Let m = a - 3. What is the units digit of m?
2
Let r be (-2)/14 + 348/84. Suppose 4*u = -2*b, -u = r*b - 3*b - 3. What is the units digit of b?
6
Let j = 6 - -64. What is the units digit of j?
0
Let c = 8 - -37. Suppose 2*s + 3*s - c = 0. What is the tens digit of 6/(-9) + 177/s?
1
Let v = -4 - -12. What is the units digit of (-2)/(2*(-1)/v)?
8
Suppose 405 + 6055 = 19*o. What is the tens digit of o?
4
Suppose 13*t + 1109 = 3761. What is the hundreds digit of t?
2
Let l(k) = 5*k + 4 - 7*k**3 + 16*k**2 - 5 + 6. Let d(v) = 3*v**3 - 8*v**2 - 3*v - 2. Let f(i) = 9*d(i) + 4*l(i). What is the units digit of f(-7)?
2
Let a = -1293 - -638. What is the units digit of a/(-35) - 2/(-7)?
9
Let h(o) = 0*o**2 + 2*o**2 - 4*o + 3 - o**2. Let w be h(3). Suppose -8 = -w*r - r. What is the units digit of r?
8
Suppose -3*l + 2*s - 8 = 0, -s + 8 - 4 = 4*l. Suppose l = 5*f + 20 - 70. What is the units digit of f?
0
Let j be (32/20)/(4/(-10)). Let p(b) = 8*b**2 + 1. Let r be p(1). Let l = j + r. What is the units digit of l?
5
Suppose -j + 9 = -33. What is the units digit of j?
2
Let l = -11 - -15. Let a(k) = k + 1. Let t be a(l). Suppose -9 = 5*n + 16, 2*h = -n + t. What is the units digit of h?
5
Suppose -12 + 38 = -r. Suppose -u + 2*b = 38, -2*u - 2*b = 3*b + 76. Let l = r - u. What is the tens digit of l?
1
Suppose 5*w = p - 16, 0*w = 5*w - 20. What is the tens digit of p?
3
Let f(i) = 13*i + 1. What is the tens digit of f(3)?
4
What is the tens digit of 3160/(-16)*9*(-6)/45?
3
Let p = 476 + -297. What is the units digit of p?
9
Let l(t) = -t**3 + 3*t**2 + 2*t - 1. Let h be l(-2). Suppose r = -2*s - 3*s + h, 3*r = 5*s - 35. Let y = 2 - r. What is the units digit of y?
7
Let t(m) = 4*m**2 - 2*m + 2. Suppose -2*r + 6 - 4 = 0. What is the units digit of t(r)?
4
Suppose 5*s - n - 3*n = -30, 7 = 4*s + 3*n. Let f be s*2*3/12. What is the units digit of 0/3 - 9*f?
9
Suppose -10*t + 147 = -3*t. Suppose -8 = -5*q + 4*q. Let f = t - q. What is the units digit of f?
3
Suppose -12 = -0*j + 2*j. Let v be ((-12)/(-9))/((-4)/j). Suppose -5*w + v*m + 14 = 0, 5*w - m - 4 = -4*m. What is the units digit of w?
2
What is the tens digit of 4/22 - 489/(-33)?
1
What is the tens digit of 38 + (-1 + 1)*-1?
3
Suppose -18 = 9*m - 15*m. Let t be (1 - 1/(-2))*4. What is the units digit of (-17 + m)*t/(-7)?
2
Suppose d - 6*d - 25 = 0. Let q(h) be the third derivative of -h**5/60 - h**4/4 + 5*h**3/6 + h**2. What is the units digit of q(d)?
0
Let c(u) = u**3 + u**2 - u. Let f(b) = -4*b**3 - 11*b**2 + 12*b - 6. Let v(r) = -5*c(r) - f(r). Let i be v(5). Let x = 8 + i. What is the units digit of x?
4
Let q(i) = -3*i**2 + 3*i + 3. Let a = 6 + -8. Let z be q(a). What is the tens digit of 6/z + 261/15?
1
Let v(m) = 3*m + 21. Let q(l) = 1. Let n(d) = 6*q(d) - v(d). What is the tens digit of n(-11)?
1
Let i(o) = -o**3 - 7*o**2 - 3*o - 10. What is the units digit of i(-8)?
8
Suppose -4*v - 34 = -218. Let r = -30 + v. What is the units digit of r?
6
Let b(w) = -w**3 + 4*w**2 - 2*w - 2. Let q be b(2). Suppose o = 5*v - 4*v + 4, 2 = q*o + v. Suppose 0 = -2*u + 8 + o. What is the units digit of u?
5
Suppose 0 = -5*k + 4*n - 160, -77 = 5*k + 2*n + 83. Let c = k + 51. What is the tens digit of c?
1
Let n = -11 + 15. Suppose 29 = 2*v + 3*q, v - n*q - q - 34 = 0. What is the tens digit of v?
1
Let m = 37 - 21. Suppose g - 2*g + m = 0. What is the tens digit of g?
1
Let m(z) = -2*z + 16. Let t be m(8). Suppose l - 38 + 13 = -u, -2*l + 2*u + 46 = t. What is the tens digit of l?
2
Let s(b) = 0*b**3 - 5*b**2 - b**3 + 2 - 5*b - 9. Let t be s(-5). Suppose 5*p - t = 2. What is the units digit of p?
4
Let o(b) = -b**2 - 8*b + 5. Suppose 4*m + 25 = 3*a, 2*a + 2*m = 8 + 4. Let d(s) = s - 13. Let v be d(a). What is the units digit of o(v)?
7
Let c(a) = -a**2 + 4. Let z be c(0). Suppose -2*p - 10 = -z*p. Suppose 0 = -2*l + 3 + p. What is the units digit of l?
4
Suppose -2*u = 38 + 12. What is the units digit of ((-12)/15)/(2/u)?
0
Let p = 34 + -15. What is the units digit of p?
9
Suppose 5*z - 20 = 5, f - 5*z - 48 = 0. What is the tens digit of f?
7
Suppose 2*w - 2 = 4*w. Suppose 6 = 4*a - 6. Let t = a + w. What is the units digit of t?
2
Let a be 2 + -2 + 2 + 1. Suppose 5*z + 19 = u, 8 - a = -3*z - u. Let o = z - -5. What is the units digit of o?
2
Let u be (0/(-2))/(-4 - -1). Suppose 4*m - 64 = -4*z, u = m + 4*z - 9 - 16. What is the units digit of m?
3
Suppose -2*z - 3*m = -10, 4*z - 5*m + 14 = 56. Let c = z - 2. Let i(d) = d**2 - 3*d - 4. What is the tens digit of i(c)?
1
Let g(c) = c + 5. Let u be g(7). Suppose 3*h = 6*h - u. What is the units digit of h/(4/7) + 2?
9
Suppose -v - 8 - 100 = 0. Let h be 8/6*v/(-8). Suppose 2*g + g = h. What is the units digit of g?
6
Let p be ((-4)/3)/(5/30). Let k = 18 + p. Suppose -2*t = -z - 0*z + k, 4*z + 5*t = -12. What is the units digit of z?
2
Let k(u) = 33*u - 12. What is the units digit of k(5)?
3
Suppose 2*z - z = -4*w + 34, 12 = 3*w. What is the tens digit of z?
1
Suppose 5*u + 2*i - 6 = 0, -u - i + 2 + 1 = 0. Suppose -q = -u - 11. What is the units digit of q?
1
Let n = -10 + 16. Let s be (n/3)/((-2)/(-35)). What is the units digit of s/(-2)*(-32)/40?
4
Let i(q) = -q + 5. Let o be i(6). Let p = 10 - 9. What is the units digit of (o - p)/((-4)/6)?
3
Suppose -4*k + 5 = y, 18 = -4*y + 5*k - 2*k. Let u = 25 + -14. Let m = y + u. What is the units digit of m?
8
Let h(w) = -2*w + w - 7 - 3*w. What is the tens digit of h(-5)?
1
Let h = -2 + 28. What is the tens digit of h?
2
Let x = 1 + 30. Suppose 5*q = -4*h + x, -3*h + q = -59 + 12. What is the units digit of h?
4
What is the tens digit of -20*((-176)/10 + 2 + 0)?
1
Suppose 0 = -5*u + 1034 - 249. What is the units digit of u?
7
Let c(o) = -o + 3 + 0*o + 2*o. Let k be c(-3). Suppose 2*z - 4*w = 28, w + 22 = 3*z - k*z. What is the units digit of z?
6
Suppose -2*c + 0*c + 72 = 0. Let v = -9 + c. Suppose -v = -f + 4*k, k - 2*k = 5. What is the units digit of f?
7
Suppose 4*v - 53 + 9 = 0. What is the tens digit of v?
1
Let o = 11 + -9. Suppose -2*n - f + 5*f = -18, o*n - 5*f = 19. Suppose 9 = 4*k - p - 36, k - n = -4*p. What is the tens digit of k?
1
Let s = 5 - -7. Let f = s + -7. What is the units digit of f?
5
Let c(z) = 2*z**2 - 6*z - 5. Let y(a) = -a**2 + 5. Let i be y(0). What is the units digit of c(i)?
5
Let p(u) = -4*u**2 - 24*u - 52. Let o(c) = c**2 + 8*c + 17. Let x(h) = -7*o(h) - 2*p(h). What is the tens digit of x(11)?
1
Suppose -3*j + 3 = -0*j. What is the units digit of 17 + (j - -2) + -3?
7
Let s be 5 - (1 + 2 - 1). Let w = s - 21. What is the units digit of 38/9 + 4/w?
4
Suppose 24*w = 29*w - 315. What is the tens digit of w?
6
Let j be -3*8/12 - -14. Suppose l = -0 + j. What is the tens digit of l?
1
Suppose 20*n - 9*n = 209. What is the tens digit of n?
1
Suppose -182 = -4*m + 2*s + 46, 2*m = -s + 106. What is the units digit of m?
5
Suppose 0*c + 2*c = 0. Suppose 0*z + 5*z = c. Suppose z = 3*x - 3*n - 36, 4*x + 0*n - n - 36 = 0. What is the units digit of x?
8
Let w = 11 - 6. What is the tens digit of -1*(w + -3)*-6?
1
Let c = -61 - -121. What is the units digit of c?
0
Suppose 12*y + 16 = 14*y. What is the units digit of y?
8
Let i = 49 - 17. What is the tens digit of i?
3
Let t = -49 - -82. What is the tens digit of t?
3
Let o = -1 - -4. Suppose -2*t - 4*i = -66, o*i + 0*i + 77 = 4*t. What is the tens digit of t?
2
Let l(j) = 4*j**3 - 2*j + 1. Let q be l(1). Suppose -5*k + 4*i - 7 = 0, -7 = -3*k - q*i + 5. Let u(h) = 4*h - 1. What is the units digit of u(k)?
3
Let r(a) be the third derivative of a**4/24 + 2*a* | {
"pile_set_name": "DM Mathematics"
} |
z = u + -22. What is the tens digit of z?
1
Let l(t) = 5*t**2 - t - 20. What is the hundreds digit of l(6)?
1
Suppose 0 = -l + 6*l - 100. Suppose 0*o = 2*o - l. What is the units digit of o?
0
Let x = -5 - -3. What is the tens digit of (-25)/x - 9/(-18)?
1
Let o be (-2 - 22/(-4))*12. What is the units digit of 4/(-3*(-4)/o)?
4
Let k(b) = -4*b**3 + b**2 + b - 1. Let h(n) = -2*n**2 - 3*n. Let v be h(-2). What is the units digit of k(v)?
3
Let w = 53 - 37. Let f = 23 - w. What is the units digit of f?
7
Let g(y) = y**3 + y**2 - 2*y - 1. Let h be g(2). Suppose -3*u - 25 = -5*m, -h*m + 2*m + 15 = -u. What is the units digit of m?
2
Let d = 54 - 40. What is the tens digit of d?
1
Let d(i) = i + 1. Let o(m) = 4*m + 1. Let z(c) = -6*d(c) + o(c). What is the units digit of z(-6)?
7
Let m(y) = 4*y**2 + 7*y - 9. Let x(i) = 11*i + 14*i**2 - 26 - 3*i**2 + 9*i. Let d(s) = -8*m(s) + 3*x(s). What is the units digit of d(-6)?
6
Let l = 106 - 102. Let o = 0 + 2. Suppose l*q + o = 34. What is the units digit of q?
8
Let a(u) = u**3 + 5*u**2 - 10*u + 2. What is the tens digit of a(-6)?
2
Suppose -5*z - 270 = 5*s, z + 3*s + 50 = -0*z. What is the units digit of 2/(-10) + z/(-5)?
1
Let b(d) = -3*d. Let q be b(-1). Suppose -g - q*j + 9 = -4*j, g - 5 = -3*j. What is the units digit of g?
8
Suppose 2 = -5*t + 12. Let m = 7 + -4. Suppose 4*j - t = m*j. What is the units digit of j?
2
Let m be (-1*2)/((-5)/20). Suppose m*v = 3*v + 3*d + 134, -d + 58 = 2*v. What is the units digit of v?
8
Suppose 0 = -20*t + 12*t + 192. What is the units digit of t?
4
Let z = 0 + 3. Suppose 4*d - 7 = -a, 0*d - 5*d = -z*a - 13. Suppose -g = -5*c + 74, 2*g = -d*g + 4. What is the units digit of c?
5
Suppose x + 78 = 2*d + 27, 2*d = 2*x + 46. Let m = d - 13. What is the tens digit of m?
1
Let j = -108 + 407. What is the hundreds digit of j?
2
Let l = -6 + 8. What is the units digit of l?
2
Let k = 207 - -117. What is the hundreds digit of k?
3
Suppose -2*c + 60 = -2*s, 0*s - s - 129 = -4*c. What is the tens digit of c?
3
Let u(g) = -g**3 - 2*g**2 + 1. Let z be u(-1). Suppose o - 4*t + 3 = z, -3*o + 5*t + 18 = 2*t. What is the units digit of o?
9
Let s(m) = -m**3 + 5*m**2 - 2*m - 7. Let a be s(3). Suppose -4*w + 3*l + 23 = 0, a*w - l = l + 27. What is the units digit of w?
5
What is the units digit of 1/8 - 468/(-96)?
5
Let w = 19 + 21. Let s = w - 21. What is the units digit of s?
9
Let v = 4 + -7. What is the tens digit of (-2)/(-9)*v*-21?
1
Let w = 8 - -5. Let l(f) = -f**3 + 13*f**2 + f - 1. What is the tens digit of l(w)?
1
Let b(y) = -y**3 - 5*y**2 - 4*y + 4. Let x be b(-4). Suppose d + 5*m = -19, -2*d - x*m = -3*d + 26. What is the units digit of d?
6
Let m be ((-2)/(-2))/(3/39). Let c be 2*m - (-5 + 3). What is the units digit of c*(2 + 1)/6?
4
Suppose -5*j + 4*g - 228 = -651, g - 330 = -4*j. What is the units digit of j?
3
Suppose -10*z - 504 = -14*z. What is the units digit of z?
6
Suppose -31*k = -26*k - 780. What is the hundreds digit of k?
1
Suppose -3*p = 4*l - 46, 4*p + l - 52 = 5*l. What is the units digit of 228/14 - 4/p?
6
Let o(z) = 2*z**2 - 7*z + 2. What is the units digit of o(8)?
4
Let y be 28 + 0 - (0 - 0). Suppose 3*i - 4*w + 20 = 0, 7*w - 2*w = -4*i + 25. Suppose -4*u + 14 = 2*t, -4*t + 0*u - 3*u + y = i. What is the units digit of t?
7
Suppose -2*f - 3*f + 142 = -3*y, -3*y = 3*f - 66. Let a be ((-13)/2)/(2/(-4)). Let k = f - a. What is the tens digit of k?
1
Let j = 3 - -12. Suppose -4*m + j = m. Suppose 0 = -m*u + 8*u - 35. What is the units digit of u?
7
Suppose -66 = -2*h + 2*q + 88, -5*q = -15. Suppose -h = -4*n + 28. What is the tens digit of n?
2
Let v be (8/10)/(2/10). Suppose -v*a - a = -100. Suppose -4*b - g - g = -22, a = 2*b + 4*g. What is the units digit of b?
4
Let w(b) = 12*b**3 - 2*b**2 - 2*b + 2. What is the units digit of w(2)?
6
What is the tens digit of (-2)/(4*2/(-284))?
7
Let f be 164/(-14) + (-4)/14. Let b = 8 - f. Suppose -5*p + b = -y + 8, 3*y - 4*p + 3 = 0. What is the units digit of y?
3
Suppose 5*l - 8 = l. Suppose 0 = -3*y + l*y + 42. What is the tens digit of y?
4
Let c(n) = -12*n - 24. What is the units digit of c(-8)?
2
Let r = -65 + 175. Suppose 4*v = -v + r. What is the tens digit of v?
2
Suppose 3 + 1 = k. Let b = k - -2. Let c(a) = -a**3 + 5*a**2 + 7*a + 8. What is the tens digit of c(b)?
1
What is the units digit of (-1)/(0 - -1) - -7?
6
Suppose -36 = -5*u - 2*s, 5*s + 4 + 6 = 0. Suppose 4*n - 14 = -3*k, k - u = -2*k - n. Suppose -3*y = -j - 16, 3*y - k*j = -1 + 12. What is the units digit of y?
7
Suppose -56 = -3*i + 3*b + 160, 5*b + 92 = i. What is the tens digit of i?
6
What is the tens digit of (0 + -1)/(8/(-344))?
4
Let d(b) = 2*b - 2. Let m be d(2). Let n(t) = -5*t - 10*t + 6*t**2 - 7 + 5*t + 3*t**3 - m*t**3. What is the units digit of n(-7)?
4
Suppose -5*y - 4*h + 105 = 0, 4*h + 95 = -0*y + 3*y. What is the tens digit of y?
2
Suppose -3*v + 3 = -0, 5*v - 1 = z. Let y = 9 - z. What is the units digit of y?
5
Let p = -21 + 12. Let d = p + 18. Suppose -5*r + 3*k + 26 = -d, 0 = 3*k. What is the units digit of r?
7
Let b(d) = -d + 7. What is the units digit of b(5)?
2
Suppose -5*h + 35 = -10*h. Let m = h + 10. Suppose d = 3 + m. What is the units digit of d?
6
Let i be (-4)/(-10) - (-47)/(-5). Let b(j) = -j**3 + 6*j**2 + 5*j + 10. Let y be b(7). Let h = y - i. What is the units digit of h?
5
Suppose -7 = -3*c - z, 0 = -4*c - 7*z + 2*z + 13. Suppose 20 = c*w + 3*w, -h = w - 14. Let f = -3 + h. What is the units digit of f?
7
Let h = -13 - -22. Suppose 2*w = 5*a - 120, 2*a - a = 2*w + 24. Suppose 0 = 5*z + h - a. What is the units digit of z?
3
Suppose 3*n = 3*z - 12 + 3, 0 = -z + 3*n - 1. Suppose -z*r - 26 = -171. What is the units digit of r?
9
Suppose -26 - 63 = -3*z - f, 2*z = -2*f + 54. What is the units digit of z?
1
What is the tens digit of (-5247)/(-51) + 8/68?
0
Let f(x) = -x**3 - 7*x**2 + 4. What is the units digit of f(-8)?
8
Let p(l) = -l + 1. Let v be p(-5). Suppose -j + v*j = 0. Let c(u) = -u**3 - u**2 + u + 9. What is the units digit of c(j)?
9
Let y(b) = 3 - 1 - b**2 - b + 7*b. What is the units digit of y(6)?
2
Let k be 5/(5/(-3))*-1. Suppose k*a - 5 = 2*a + 5*i, 0 = 3*i. What is the units digit of a?
5
Suppose o - 2*o - 5 = 0, -o = 3*s - 13. What is the units digit of s?
6
Let w = -22 - -90. What is the units digit of w?
8
Let q(i) be the third derivative of -i**6/80 + i**5/120 + i**4/24 - 2*i**2. Let r(a) be the second derivative of q(a). What is the units digit of r(-1)?
0
Let k = 54 + -34. What is the units digit of k?
0
Let t be (-14 - 0)*24/(-7). Suppose 5*v = -k + 30, -3*k + v = -6*k + t. What is the units digit of k?
5
Let g(t) = t**3 + 5*t**2 + 5*t + 2. Let a be g(-3). Let u = a + -23. What is the units digit of (u/(-15))/((-1)/(-5))?
6
Let s = 89 - 9. What is the units digit of s?
0
Let s be (-2)/10 + (-266)/(-5). Let w = 78 - s. Suppose -w = -2*q + r, 2*r + 27 + 1 = 2*q. What is the tens digit of q?
1
Let h = 39 + -10. What is the units digit of h?
9
Let c = 21 + -16. What is the units digit of c?
5
Suppose 2*q - 68 = 4*f, -f - 65 = 2*q - 4*q. What is the tens digit of q?
3
Let n = -199 + 295. What is the units digit of n?
6
Let d be (2 + 1*-2)/(-2). Let w(r) = -r + d*r - 1 + 4*r - 2*r. What is the units digit of w(2)?
1
Let p(g) = -74*g - 14. What is the tens digit of p(-2)?
3
Suppose 5*m - 3 = k, 26 = 4*k - 4*m + 3*m. Suppose -2*j - k = -21. Let c = j - 4. What is the units digit of c?
3
What is the tens digit of 46*3/6 + -9 + 8?
2
Suppose -5*t = -146 + 56. What is the units digit of (4/(-6))/((-12)/t)?
1
Let n = -89 - -185. What is the units digit of n?
6
Let w(t) = -2*t**2 + 12*t - 7. Suppose 0 = 3*o, -3*o = s - 4 - 1. Let i(l) = 3*l**2 - 18*l + 11. Let b(m) = s*i(m) + 7*w(m). What is the units digit of b(6)?
6
Suppose 5*h - 162 - 58 = -5*o, 0 = -5*h. What is the tens digit of o?
4
Let i = 1 - -5. Let c = -4 + i. Suppose 0 = -c*s + r + 23, -3*s = 5*r + 5 - 59. What is the tens digit of s?
1
Suppose u = 3*u - 16. What is the units digit of u?
8
Let k = 11 - 3. Let q be 2/k - (-78)/8. What is the units digit of (2/(-3))/(q/(-105))?
7
Let a(i) = -i**2 + 4*i - 1. Let o be 1/(-2 - 14/(-6)). Let t be a(o). Suppose -2*f = -r + f + 2, t*f = -r + 12. What is the units digit of r?
8
Let q(m) = m**2 - 8*m | {
"pile_set_name": "DM Mathematics"
} |
845?
52
Calculate -605824 divided by 4733.
-128
Divide -3 by -5173.
3/5173
Calculate -2103 divided by -105.
701/35
Divide -623 by 230.
-623/230
Divide -12666 by 2.
-6333
Calculate 354958 divided by -177479.
-2
-44 divided by -213
44/213
What is -32238 divided by 162?
-199
Divide 409051 by -1.
-409051
Calculate 101 divided by -798.
-101/798
Calculate -84924 divided by 21231.
-4
-9 divided by 17676
-1/1964
What is 48583 divided by -2557?
-19
Divide -7902 by 878.
-9
Divide -85916 by 1.
-85916
What is 128625 divided by 42875?
3
Calculate -343853 divided by 343853.
-1
543 divided by 10
543/10
Calculate 60 divided by -3429.
-20/1143
Calculate 37180 divided by 9295.
4
Divide 84137 by 2.
84137/2
What is 195887 divided by -1?
-195887
What is -7243 divided by 68?
-7243/68
-3042 divided by -9
338
What is -363923 divided by 7427?
-49
What is -713152 divided by -4?
178288
What is 205 divided by 167?
205/167
Calculate 409476 divided by 3.
136492
What is 2 divided by -29261?
-2/29261
Divide -196416 by 36.
-5456
What is -190 divided by -3?
190/3
Divide 248137 by 2.
248137/2
-45292 divided by -13
3484
-12291 divided by -3
4097
What is -285680 divided by 57136?
-5
What is -15200 divided by -1520?
10
Divide 429660 by -990.
-434
-3 divided by -282451
3/282451
Calculate 16 divided by -172986.
-8/86493
Divide 9 by 2235.
3/745
15 divided by 2646
5/882
-5 divided by 333666
-5/333666
Divide -178488 by 111.
-1608
39742 divided by -123
-39742/123
Divide 19 by -25391.
-19/25391
Divide -120865 by 5.
-24173
What is -1 divided by -22715?
1/22715
Divide -145826 by 17.
-8578
-49157 divided by -20
49157/20
-1697914 divided by 3
-1697914/3
Calculate 0 divided by -102720.
0
Calculate 343570 divided by 5.
68714
Calculate 617558 divided by 2.
308779
-31860 divided by -1062
30
What is 6591 divided by -13?
-507
Divide -161007 by 861.
-187
1973644 divided by -103876
-19
Calculate -40026 divided by -2.
20013
839840 divided by 5
167968
62 divided by 65904
31/32952
Divide 109616 by -1768.
-62
-2212992 divided by -8
276624
9580 divided by -2395
-4
Calculate -1 divided by -2832.
1/2832
What is 47 divided by -510?
-47/510
Divide 1567964 by 11042.
142
What is 1513588 divided by 166?
9118
Divide -3022720 by 16.
-188920
Calculate 6 divided by -61015.
-6/61015
4060 divided by 145
28
Divide -1076097 by -2.
1076097/2
Calculate 409809 divided by 3.
136603
Calculate 3 divided by -675119.
-3/675119
What is -279436 divided by 69859?
-4
Calculate -27 divided by -3954.
9/1318
-2448 divided by 6
-408
What is -17000 divided by 85?
-200
Divide 280110 by -5.
-56022
-32340 divided by -210
154
Divide -5655772 by -5.
5655772/5
Calculate 13679 divided by -13679.
-1
What is 67256 divided by 1?
67256
Calculate 398256 divided by 16594.
24
Calculate 28751 divided by 84.
28751/84
4 divided by -6119
-4/6119
11262132 divided by -6
-1877022
Divide 6 by 233878.
3/116939
Calculate 17820 divided by -27.
-660
21 divided by -33135
-7/11045
43 divided by 32
43/32
Divide -54338 by 2.
-27169
Calculate 1 divided by -25125.
-1/25125
What is -233 divided by -536?
233/536
519480 divided by 1080
481
What is 7568377 divided by -6?
-7568377/6
-832508 divided by -46
18098
-2870 divided by 35
-82
Calculate 141036 divided by 42.
3358
What is -270936 divided by 71?
-3816
Divide -543288 by 6.
-90548
Calculate 1631866 divided by 1.
1631866
What is -267320 divided by 13366?
-20
-1083 divided by 57
-19
255254 divided by 127627
2
Calculate 3458 divided by 19.
182
-19228 divided by 92
-209
Calculate 111 divided by 7019.
111/7019
-1585956 divided by 3548
-447
What is 364366 divided by 3?
364366/3
27462 divided by 3
9154
Divide 112 by -125.
-112/125
Calculate -431 divided by 12351.
-431/12351
Calculate -3487 divided by -44.
317/4
What is 512592 divided by -128148?
-4
What is -27247 divided by 9?
-27247/9
What is -385360 divided by 10?
-38536
Divide -122715 by -405.
303
-2 divided by 6
-1/3
-2 divided by 257288
-1/128644
Calculate -1341 divided by 54.
-149/6
Divide 57348 by 12.
4779
774030 divided by 258010
3
What is 55486 divided by -1?
-55486
130356 divided by 4
32589
What is -211715 divided by 35?
-6049
Divide -189 by -77.
27/11
What is -156690 divided by -6?
26115
233 divided by -503
-233/503
Divide 1736 by -51.
-1736/51
Divide -2100 by -787.
2100/787
Calculate -4102 divided by -11.
4102/11
Calculate -21 divided by -2242.
21/2242
What is 230 divided by 7616?
115/3808
What is 1248920 divided by -312230?
-4
Calculate 47 divided by 676.
47/676
What is 34693 divided by 3?
34693/3
What is -28 divided by 25?
-28/25
Calculate -2533650 divided by 44450.
-57
Calculate 599 divided by 269.
599/269
Calculate -3661 divided by 110.
-3661/110
153754 divided by -2606
-59
Divide -55866 by -2.
27933
What is 3639374 divided by 1819687?
2
What is -1865370 divided by -65?
28698
-130390 divided by -65195
2
-15589 divided by -17
917
Divide 5623 by 15.
5623/15
What is 10164 divided by -42?
-242
-4197 divided by -3
1399
Divide 164776 by -344.
-479
Divide 21 by 569.
21/569
What is -387708 divided by 2?
-193854
Divide 52934 by 14.
3781
What is -178 divided by 287?
-178/287
5653776 divided by 706722
8
Divide 1242 by -23.
-54
Divide -3207798 by -3.
1069266
Divide -6 by 256890.
-1/42815
Calculate 263170 divided by -13.
-263170/13
3199350 divided by -2
-1599675
-3 divided by -1971554
3/1971554
-8712 divided by 9
-968
Divide -506331 by -19.
26649
What is 4 divided by 2039?
4/2039
Calculate -13783 divided by -179.
77
1427 divided by -29
-1427/29
Calculate 30 divided by 1695.
2/113
Calculate -231 divided by -770.
3/10
What is 134795 divided by 26959?
5
Calculate -14804092 divided by -4.
3701023
Divide 3963 by 1321.
3
Calculate -20218 divided by -5.
20218/5
-527616 divided by -2061
256
Divide 71691 by 6.
23897/2
19 divided by -104
-19/104
Divide -130900 by -550.
238
What is -256065 divided by -5?
51213
Calculate 136 divided by -406.
-68/203
2 divided by -32820
-1/16410
What is -25064 divided by 2?
-12532
Divide 5 by -163490.
-1/32698
889735 divided by 177947
5
Calculate -5 divided by -82822.
5/82822
656670 divided by -2
-328335
Calculate 981 divided by 1.
981
Calculate 38 divided by -1814.
-19/907
What is -870656 divided by 1216?
-716
105038 divided by -5
-105038/5
Calculate 928030 divided by 17510.
53
Calculate -47311 divided by -121.
391
What is 172640 divided by 43160?
4
Calculate -2122374 divided by 2554.
-831
Divide -14200 by -8.
1775
Calculate -19 divided by 695.
-19/695
Divide 83340 by -16668.
-5
Divide 876450 by 5.
175290
Divide 48620 by -374.
-130
Calculate -10185 divided by -7.
1455
Calculate 2925765 divided by 37035.
79
Divide 18584 by 4646.
4
2195 divided by -596
-2195/596
Calculate -22580 divided by 5.
-4516
Divide 160116 by -12.
-13343
-14 divided by -166
7/83
-4 divided by -43218
2/21609
Divide 45476 by 11369.
4
What is -86320 divided by -1040?
83
Divide 5 by 235656.
5/235656
Divide 5 by -327640.
-1/65528
Calculate -179179 divided by -4.
179179/4
What is 210415 divided by -42083?
-5
Calculate 27376 divided by -5.
-27376/5
What is 1325 divided by 4?
1325/4
What is -41251 divided by -83?
497
What is 107688 divided by 3846?
28
What is 10278 divided by -5139?
-2
-1748 divided by 5
-1748/5
Calculate -1615119 divided by 95007.
-17
-9 divided by -932
9/932
Divide 164200 by -8.
-20525
108282 divided by -36094
-3
Divide -12364 by 6182.
-2
Calculate -114480 divided by 5.
-22896
What is -1544 divided by -840?
193/105
Calculate 277 divided by -2233.
-277/2233
Divide -260 by -1135.
52/227
What is 47864 divided by -2?
-23932
What is -172704 divided by 12?
-14392
Divide 34768 by -8692.
-4
2 divided by 6861
2/6861
What is -51 divided by 8367?
-17/2789
688530 divided by -177
-3890
Divide -2133582 by 193962.
-11
Calculate 2165466 divided by -2.
-1082733
What is -5 divided by -11692?
5/11692
What is 11982 divided by 4?
5991/2
What is 2990990 divided by -1?
-2990990
Divide -19 by 23642.
-19/23642
-173428 divided by -454
382
-1997356 divided by 2
-998678
What is 5168 divided by 13?
5168/13
-37282 divided by 7
-5326
Divide 38148 by -102.
-374
Divide 100349 by 4363.
23
What is 2560 divided by -128?
-20
Divide 5 by 24034.
5/24034
Calculate 9 divided by 5019.
3/1673
-393987 divided by -33
11939
Divide -513004 by -463.
1108
Divide -69 by -135.
23/45
What is 3 divided by -1116596? | {
"pile_set_name": "DM Mathematics"
} |
*q(a) + 11*t(a).
-a**3 - a**2
Let b(y) = 49. Let l(p) = -p - 50. Calculate -3*b(z) - 2*l(z).
2*z - 47
Let l(t) = -1 + 9 + 2*t + t**2 + 3*t**2 - 3. Suppose 3 + 3 = -2*z. Let k(h) = -h**2 - h - 1. What is z*k(v) - l(v)?
-v**2 + v - 2
Let g(c) = c**2. Let p(t) = 4*t**2 + 1. Let w be 4/14 + 47/7. Let a(h) = w*g(h) - 2*p(h). Let x(b) = b**2 - b + 3. Determine -3*a(o) - 2*x(o).
o**2 + 2*o
Let n(l) be the third derivative of l**5/15 - l**3/2 - 14*l**2. Let h(s) = -5*s**2 + 4. Give -3*h(p) - 4*n(p).
-p**2
Let m(r) = -29*r**2 + 5*r. Let t(p) = 595*p**2 - 102*p. What is 102*m(y) + 5*t(y)?
17*y**2
Let z(u) = 20*u**2 - 17*u - 9. Let b(g) = 7*g**2 - 6*g - 3. Let d(w) = -11*b(w) + 4*z(w). Let f(r) = -2*r**2 + r + 2. Give 3*d(s) + 4*f(s).
s**2 - 2*s - 1
Let d(w) = -34*w - 5. Let m(x) = -33*x - 4. Give 2*d(r) - 3*m(r).
31*r + 2
Let u = -71 + 75. Let g(x) = -x + 2. Let d(h) = 2*h - 3. Determine u*d(c) + 5*g(c).
3*c - 2
Let o(i) = -i**3 - i**2 - i - 1. Let d(m) = -6*m**3 - 3*m**2 - 14*m - 4. Determine -d(b) + 4*o(b).
2*b**3 - b**2 + 10*b
Let l(m) = 2*m**2 + 35*m. Let i(h) = 2*h**2 + 36*h. Give 7*i(v) - 6*l(v).
2*v**2 + 42*v
Let l(g) = g**2 - g. Let v(j) = -7*j**2 + 4*j + 2. Let k(d) = -d. Let m(q) = -1 - 7*q + 3 + 5. Let i(x) = 6*k(x) - m(x). Let f be i(6). Give f*v(t) - 5*l(t).
2*t**2 + t - 2
Let z(o) = -o**3 - 1. Let x(k) = -6*k**3 - 7. Determine -4*x(m) + 28*z(m).
-4*m**3
Let s(p) = -539*p**3 - 55*p**2 - 55*p + 55. Let j(d) = 20*d**3 + 2*d**2 + 2*d - 2. What is 55*j(m) + 2*s(m)?
22*m**3
Let v(n) = -5*n - 13. Let x(i) = -6*i - 13. Calculate 3*v(f) - 2*x(f).
-3*f - 13
Let t(f) = 11*f**2 - 17. Let x(m) = 5*m**2 - 8. Let q(g) = -3*t(g) + 7*x(g). Let j(i) = 3*i**2 - 6. Determine -5*j(u) + 6*q(u).
-3*u**2
Let w(b) = -7*b**2 - 2*b - 2. Let p(s) = -190*s**2 - 50*s - 50. Let g(x) = -190*x**2 - 51*x - 51. Let k(z) = 5*g(z) - 4*p(z). What is -2*k(y) + 55*w(y)?
-5*y**2
Let m = 0 + -7. Let t(j) = -4*j - 2. Let s(b) = -2*b - 1. What is m*s(w) + 4*t(w)?
-2*w - 1
Let h(v) = 7*v**2 + 1. Let t(u) = 36*u**2 + 6. Let m(y) = -11*h(y) + 2*t(y). Let n be 21/6 - 2/4. Let q(j) = 4*j**2 - 1. Determine n*m(k) + 4*q(k).
k**2 - 1
Let f(q) = 4*q**2 - 7*q - 1. Let d(r) = r**2 - r. Determine -6*d(x) + f(x).
-2*x**2 - x - 1
Let g(p) = -1. Let f(u) = -2*u + 2. What is f(a) + 3*g(a)?
-2*a - 1
Let r(y) = -y + 1. Let m(t) = -8*t**2 + 6*t - 7. What is m(n) + 6*r(n)?
-8*n**2 - 1
Let f = -19 - -13. Let l(c) = 2*c + 2. Let z(i) be the first derivative of -i**2 - 2*i - 3. Calculate f*l(x) - 5*z(x).
-2*x - 2
Let y = -35 - -32. Let j(q) = q + 1. Let c(u) = -u - 2. Determine y*c(x) - 6*j(x).
-3*x
Let y(j) = -j - 1. Let h(a) = 7*a + 24. Give h(f) + 5*y(f).
2*f + 19
Let y = -5 + 9. Let w(a) = -4*a + 4 + 3*a + 0 + 7*a. Let v(n) = 7*n + 5. Determine y*v(i) - 5*w(i).
-2*i
Let x = 6 - -1. Let l(r) = -4 + 9 + 7*r - 4*r - x*r**2 + 4*r. Let p(s) = -4*s**2 + 4*s + 3. Let j be (1/2 + 0)*10. Give j*p(m) - 3*l(m).
m**2 - m
Let n(j) = 2*j**3 + 4*j**2 - 3*j - 5. Let f(z) = -2*z**3 - 5*z**2 + 3*z + 6. Let v be 5*5/25 + -6. Calculate v*f(x) - 6*n(x).
-2*x**3 + x**2 + 3*x
Let q(s) = 2*s**2 - 12*s - 8. Let u(r) = r + 1. Calculate q(h) + 12*u(h).
2*h**2 + 4
Let t = 4 + -2. Let q(u) = u**2 - 3*u**t - 2*u + u**2. Let j(n) = 1. Let r(k) = -k - 1. Let d(o) = -j(o) - r(o). Calculate -2*d(y) - q(y).
y**2
Let h = 3 - 0. Let n(j) = -j + 5. Let q(t) = t - 4. Suppose 2*v = -5*c + 30, -5*c - 5*v = -0*c - 45. Calculate c*q(m) + h*n(m).
m - 1
Let z(g) = 4*g**2 - 1. Let t be ((-9)/(-6))/(-5 + (-22)/(-4)). Let j(k) = -2 + 5 - 9*k**2 + 0*k**2. Calculate t*j(d) + 7*z(d).
d**2 + 2
Let c(p) = -p - 1. Let h = -8 + 18. Let q(g) = g**2 + h*g - 3*g**2 + 5 + 2*g - 4*g. Let y(s) = s + 3. Let k be y(3). Give k*c(w) + q(w).
-2*w**2 + 2*w - 1
Let t(j) be the third derivative of -j**6/24 + j**4/24 - 2*j**3/3 - j**2. Suppose -2*f + 8 = -0. Let d(v) = -v**3 - 1. What is f*d(s) - t(s)?
s**3 - s
Let a(l) be the first derivative of 5*l**4/4 - 11*l**3/3 + 11*l**2/2 - 39. Let i(p) = 2*p**3 - 4*p**2 + 4*p. What is 4*a(n) - 11*i(n)?
-2*n**3
Let w(u) = -5*u**2 + 7*u - 7. Let g(f) = 2*f**2 - 9*f - 3. Let y(d) = -d - 1. Let h(q) = -g(q) + 6*y(q). Let i be ((-2 - 0) + -4)/(-2). What is i*w(b) - 7*h(b)?
-b**2
Let b(g) = -g + 1. Let v(k) = k**3 + 4*k**2 + k + 9. Let i be v(-4). Let x(n) = -2*n + 2. Determine i*x(c) - 12*b(c).
2*c - 2
Let v(q) = -q**2 - q. Let t(u) = u**3 - 3*u**2 - u - 3. Let z be t(3). Let d(y) = -5*y**2 - 6*y. Determine z*v(r) + d(r).
r**2
Let j(h) = 7*h**2 - 4*h + 4. Suppose -i + 25 = -4*i - 2*q, -2*q = -2. Let d(w) = -15*w**2 + 9*w - 9. Calculate i*j(o) - 4*d(o).
-3*o**2
Let z(y) = 5*y**3 + 7*y**2 + 6*y - 1. Suppose 0 = 2*o - 0*o - 14. Let s(w) = 2*w - 13. Let x be s(o). Let l(b) = b**3 + b**2 + b. Calculate x*z(t) - 6*l(t).
-t**3 + t**2 - 1
Let v(b) = -77*b**3 - 17*b + 17. Let g(s) = 13*s**3 + 3*s - 3. What is -34*g(w) - 6*v(w)?
20*w**3
Let m(h) = 22*h**3 - 4*h**2 - 6. Let w(p) = 22*p**3 - 3*p**2 - 5. Give -3*m(v) + 4*w(v).
22*v**3 - 2
Suppose 0 = -3*o + 5*t - 16, o - 3*t - 24 = 4*o. Let r(p) = -7*p**2 - 5*p - 6. Let q(i) = -8*i**2 - 6*i - 7. Determine o*r(x) + 6*q(x).
x**2 - x
Let s(h) = -h**3 - h**2 - 5. Let k(a) = -2*a**3 - a**2 - 9. Give 3*k(q) - 5*s(q).
-q**3 + 2*q**2 - 2
Let f(x) = x**2 + 4*x + 6. Let g(j) = j + 1. Let q(p) = f(p) - 4*g(p). Let b(a) = -4*a**2 - 7. Suppose -5*r + 14 = 124. Calculate r*q(s) - 6*b(s).
2*s**2 - 2
Let z(r) = 10*r - 16. Let g(t) = 5 + 1 - 1 - 3*t + 0*t. What is -16*g(i) - 5*z(i)?
-2*i
Let f(q) = -q**2 - q - 3. Let b = 3 + -5. Let s be 1/2 + 209/b. Let u be (-2)/5 + s/(-10). Let d(z) = 3*z**2 + 2*z + 7. Give u*f(h) + 4*d(h).
2*h**2 - 2*h - 2
Let q be 3/(-4) - 28/(-16). Let w(i) = -7*i**3 - 6*i**2 - 6*i. Let a(f) = f**3 + f**2 + f. Give q*w(p) + 6*a(p).
-p**3
Let q(p) = 11*p + 37. Let c(y) = 6*y + 18. Let v(n) = 7*c(n) - 3*q(n). Let a(o) = -5*o - 8. Give -11*a(z) - 6*v(z).
z - 2
Let d(a) = -2*a - 4. Let u(l) = l + 1. Give -4*d(h) - 7*u(h).
h + 9
Let o(a) = 6*a**2 + a - 4. Let z(f) = 5*f**2 + f - 3. Suppose 3 = -u + 7. Calculate u*o(n) - 5*z(n).
-n**2 - n - 1
Let i(x) = 34*x - 11. Let s(b) = 7*b - 2. What is -4*i(f) + 22*s(f)?
18*f
Let z(k) = k**3 + k**2 + 2*k - 3. Let b(s) = 2*s**3 + 2*s**2 + 5*s - 7. Suppose 3*o + o - 2 = 2*w, 10 = 2*w. What is o*b(n) - 7*z(n)?
-n**3 - n**2 + n
Let o(s) = -s**2 - 1. Let z(f) = 2*f**3 - 3*f**2 - 2*f - 1. Let q be (-6)/(-2)*10/15. Suppose -8 = q*g - 0*g. Let t = -3 - g. Calculate t*z(w) - 3*o(w).
2*w**3 - 2*w + 2
Let r(u) = 1. Let k(p) be the third derivative of -p**4/24 + 2*p**3/3 + 2*p**2. Let s = 10 + -13. Calculate s*r(q) + k(q).
-q + 1
Let g(s) = 11*s - 7. Let o = -9 - -18. Let t(r) = r + 4. Let b be t(-2). Let k(z) = 3*z - b - 1 + 2*z. What is o*k(l) - 4*g(l)?
l + 1
Let x(g) = 25*g + 50. Let h(o) = -o - 1. Give 50*h(f) + x(f).
-25*f
Let a(t) = 25*t - 3. Let p(r) = -8*r + 1. What is 3*a(s) + 8*p(s)?
11*s - 1
Let r(y) = -11*y - 26. Let o(l) = -4*l - 9. What is -17*o(f) + 6*r(f)?
2*f - 3
Let v(o) = 6*o + 11. Let n(i) = -i - 2. What is 33*n(r) + 6*v(r)?
3*r
Let x(z) = z**3 + 4*z**2 - 2*z + 3. Let i(c) = c**2 + 1. Suppose -5*g - 2*t = 1, 2*t = -5*g + t - 3. Calculate g*x(r) + 3*i(r).
-r**3 - r**2 + 2*r
Let z be 6/(-14) - (-341)/77. Let o(p) = -2*p. Let s(b) = 4*b. Calculate z*s(y) + 9*o(y).
-2*y
Let o(r) = -2*r**3 - 7*r**2 - 5*r - 4. Let m(x) be the second derivative of -1/3*x**4 - 1/20*x**5 + 6*x - x**2 + 0 - 1/2*x**3. Determine 7*m(n) - 4*o(n).
n**3 - n + 2
Let j be 39/12 - 1/4. Let a(z) = 4*z**3 + z**2 + 6*z**3 + j - 3. Let y be a(1). Let p(w) = -6*w - 16. Let t(d) = -d - 3. What is y*t(h) - 2*p(h)?
h - 1
Let z(v) = -v - 2. Let u = 12 - -2. Let g(q) = -5 - 29*q - 30*q + 94*q - 37*q. What is u*z(m) - 6*g(m)?
-2*m + 2
Let l(s) = -s. Let m = 0 + 3. Suppose m*k - 12 = -3. Suppose -u - 6 = -2*u - 5*b, b = k*u - 2. Let r(t) = 6*t + 2. What is u*r(i) + 5*l(i)?
i + 2
Let r(j) = -j + 1. Let q(k) = 32*k - 8. Determine q(c) + 10*r(c).
22*c + 2
Let p(c) be the second derivative of -c**4/6 - c**3/6 + c**2/2 - c. Let l(g) = -14*g**2 - 1 + 26*g**2 + g - 11*g**2. Give -l(x) - p(x).
x**2
Let r(b) = 3*b**2 - 2*b**2 - b**3 - 3*b**2 - 3. Let z(a) = a**3 + 2*a**2 + 4. Let o = 4 - -1. Suppose o*y = 3*y + 8. Give y*r(c) + 3*z(c).
-c**3 - 2*c**2
Let w(b) = 2*b**3 - 7*b**2 + 22*b + 4. Let l(i) = | {
"pile_set_name": "DM Mathematics"
} |
terms in -522*t**2 + 1714*t**2 - 647*t**2 - 526*t**2.
19*t**2
Collect the terms in 80450*i + 36320*i + 4*i**2 + 48481*i - 6*i**2.
-2*i**2 + 165251*i
Collect the terms in 3*i**2 - 199 - 557 - 38*i + 158 - 592.
3*i**2 - 38*i - 1190
Collect the terms in -918*u - 922*u - 519*u - u**2 - 3*u**2 + 2366*u.
-4*u**2 + 7*u
Collect the terms in -166*o**2 + 268*o - 844*o + 740*o**2 + 268*o + 308*o.
574*o**2
Collect the terms in 4255*o - 1646*o - 1612*o - 1383*o.
-386*o
Collect the terms in 290*c**2 - 573*c**2 + 84*c**2 + 26*c - 26*c + 197*c**2.
-2*c**2
Collect the terms in 4962*d**3 + 6662*d**3 - 5453*d**3.
6171*d**3
Collect the terms in -1433 + 13726 + f + 58502.
f + 70795
Collect the terms in 79 - 28 - 37 + 5717*t**2 - 14.
5717*t**2
Collect the terms in -13913*n**3 - 13720*n**3 + 27970*n**3.
337*n**3
Collect the terms in 34579*y + 91969*y + 35894*y - 8466*y + 2756*y.
156732*y
Collect the terms in -36 - v**2 - 39 - 21*v**2 - 5*v**2 - 10*v**2 + 9*v**3.
9*v**3 - 37*v**2 - 75
Collect the terms in 12 + 13240569*s - 26481164*s + 13240596*s - 12.
s
Collect the terms in -61454*t**2 + 4*t - 7*t + 0*t + 2*t.
-61454*t**2 - t
Collect the terms in -16675*d**2 + 8832*d**2 + 7865*d**2.
22*d**2
Collect the terms in 2*b + 156677 - 31324 - 31372 - 31328 - 31324 - 31329.
2*b
Collect the terms in -1423*i**2 + 2 + 156*i**2 - 1 + 1525*i**2.
258*i**2 + 1
Collect the terms in -28*z**2 - 57*z**2 + 12*z + z**3 - 101*z**2 - 116*z**2 + 404*z**2.
z**3 + 102*z**2 + 12*z
Collect the terms in 13*p**3 + 103*p - p**3 - 8*p**3 - 6*p**3 - 422*p.
-2*p**3 - 319*p
Collect the terms in -223423*l**2 + 221 - 221.
-223423*l**2
Collect the terms in -2955*c**3 + 1154*c**3 - 2292*c**3 + 512*c**3 - 2*c**2.
-3581*c**3 - 2*c**2
Collect the terms in -3*o + 104*o**2 + 115*o**2 + 197*o**2 - 255*o**2.
161*o**2 - 3*o
Collect the terms in a**2 + 1779 + 52 + 2*a - 492.
a**2 + 2*a + 1339
Collect the terms in -675*n**3 - 58*n**2 + 2044*n**3 - 664*n**3 - 674*n**3.
31*n**3 - 58*n**2
Collect the terms in -61*u**3 + 69*u**3 - 383*u**2 - 11*u**3.
-3*u**3 - 383*u**2
Collect the terms in 28541578 - 28541560 + z + z**2 - z.
z**2 + 18
Collect the terms in 12287*j**3 - 80202*j**3 - 1727*j**3.
-69642*j**3
Collect the terms in -6491*k**2 + 1394*k**2 - 1505*k**2 + 889*k**2 - 10234*k**2.
-15947*k**2
Collect the terms in -30*h - 182575270073 + 182575270073.
-30*h
Collect the terms in -1697*q**3 + 846*q**3 + 179*q + 841*q**3.
-10*q**3 + 179*q
Collect the terms in -111 + 83*u + 357 - 114 - 122 - 10.
83*u
Collect the terms in 4 - 95721773*m**3 - 4 + 191443073*m**3 - 95721303*m**3.
-3*m**3
Collect the terms in 403 + 1915*l + 8*l - 63*l - 811 + 408.
1860*l
Collect the terms in -70*m**3 - 6 - 515*m**3 + 5 + 1.
-585*m**3
Collect the terms in -1305 + 264 + 264 + 257 + 260 + 0*s + 264 - 2*s.
-2*s + 4
Collect the terms in 8*b + 16215*b**2 + 12*b + 16207*b**2 + 16203*b**2 - 17*b - 48642*b**2.
-17*b**2 + 3*b
Collect the terms in 5*s**2 - 54*s**2 - 155447 + 155450.
-49*s**2 + 3
Collect the terms in 26*q - 24*q**2 - 4*q**2 + 38*q**2 + 25*q.
10*q**2 + 51*q
Collect the terms in 12 + 10 + 17701831*c - 17701832*c - 22.
-c
Collect the terms in -390*g**3 - 79*g**2 + 79*g**2 - 1082*g**3.
-1472*g**3
Collect the terms in 73 + 2*o**3 + 5*o**3 - 25*o**3 + 6*o**3 + 2*o**3 + 12*o**3.
2*o**3 + 73
Collect the terms in 3*f**2 - 20*f**2 + 45*f**2 + 53*f**2 - 474*f.
81*f**2 - 474*f
Collect the terms in 4*h**3 + 3 - 28*h**3 + 12*h**3 - 28*h**2 + 14*h**3 - 25*h**2 - 519*h.
2*h**3 - 53*h**2 - 519*h + 3
Collect the terms in 35*x - 33*x - 3283 - 13633 - 2623.
2*x - 19539
Collect the terms in -4022*v + 1333*v + 7*v**3 + 1345*v + 1344*v + 30*v**2.
7*v**3 + 30*v**2
Collect the terms in -13*r**3 - 38*r + 40*r**3 - 35*r - 26*r**3 + 109*r - 36*r.
r**3
Collect the terms in -176 + 288 + 10*g**3 - 90*g - 112 + 90*g.
10*g**3
Collect the terms in -2402*j - 6687*j + 883*j.
-8206*j
Collect the terms in 198*w + 185*w + 2 - 321*w + 307*w + 411*w + 279*w.
1059*w + 2
Collect the terms in -1 - 10974*i**3 - 192*i + 192*i - 2 + 1.
-10974*i**3 - 2
Collect the terms in 178*f + 264*f + 263*f - 404*f**3 - 973*f + 268*f.
-404*f**3
Collect the terms in 60*j - 747*j - 1098*j.
-1785*j
Collect the terms in -3522735 - 113*k + 3522735.
-113*k
Collect the terms in 5*c**2 + 19 + 1 + 0 + 33*c**3 + 4*c**2.
33*c**3 + 9*c**2 + 20
Collect the terms in 935789 - 935789 - 1137*o.
-1137*o
Collect the terms in -2771*u**2 - 62*u**3 + 60*u**3 + 2860*u**2.
-2*u**3 + 89*u**2
Collect the terms in -p**3 - 40113185*p + 3 + 40113185*p.
-p**3 + 3
Collect the terms in -1093*y + 3340*y - 3134*y**3 - 1101*y - 1146*y.
-3134*y**3
Collect the terms in -58*t - 67*t - 38*t + 11*t + 17*t.
-135*t
Collect the terms in -85305*c + 170941*c - 84791*c + 39 - 39.
845*c
Collect the terms in -39665*g**2 - g + 0*g - 27809*g**2 - 20844*g**2.
-88318*g**2 - g
Collect the terms in -3*h**3 + 97*h - 373*h + 93*h + 172*h.
-3*h**3 - 11*h
Collect the terms in 10537*s**3 - 21*s - 84714*s**3 + 21*s.
-74177*s**3
Collect the terms in -3866338*x + 562991*x - 3139149*x - 408750*x.
-6851246*x
Collect the terms in -712*h + 269*h - 447*h - 211*h.
-1101*h
Collect the terms in -594662*j**2 - 796602*j**2 - 310636*j**2.
-1701900*j**2
Collect the terms in 28197062 - 579*v**3 - 28197062.
-579*v**3
Collect the terms in 1 - 2932*h - 1 - 8*h**2 + 5908*h - 2976*h.
-8*h**2
Collect the terms in 1830362*r - 3*r**3 - 1830362*r + 114*r**2 - 114*r**2.
-3*r**3
Collect the terms in 277*g**2 + 266*g**2 - 692*g**2 + 194*g**2.
45*g**2
Collect the terms in -35*m**3 + 56640178 - 56640178.
-35*m**3
Collect the terms in 14385*b - 16568*b + 16042*b + 12788*b + 11292*b.
37939*b
Collect the terms in -7 + 10330*j**2 + j**3 + 4 + 5 - 2.
j**3 + 10330*j**2
Collect the terms in -650 - 2*u**2 - 224*u**3 + 121*u**3 + 0*u**2 + 104*u**3.
u**3 - 2*u**2 - 650
Collect the terms in 3156*k**3 - 6044*k**3 + 2895*k**3.
7*k**3
Collect the terms in 3*d**2 + 313*d - 1256*d + 328*d + 307*d + 310*d.
3*d**2 + 2*d
Collect the terms in 108*v**3 - 58*v**3 + 29*v**3 + 128*v**3 + 56*v**3.
263*v**3
Collect the terms in -513*w**3 - 2972580*w**2 + 2972580*w**2.
-513*w**3
Collect the terms in 5*g**2 + g + 47658165*g**3 + 4*g - 47658184*g**3 - 16*g**2.
-19*g**3 - 11*g**2 + 5*g
Collect the terms in 569*g**3 + 606*g**3 + 1871*g**3 + 1934*g**3.
4980*g**3
Collect the terms in 401022*y**2 - 201855*y**2 - 199160*y**2.
7*y**2
Collect the terms in -9338 + 37256 - 9342 - 9200 - 9376 + 5*r.
5*r
Collect the terms in 1762*a**3 - 3658*a**3 + 1891*a**3.
-5*a**3
Collect the terms in 6075*n**3 - 31*n - 12120*n**3 + 8*n + 6027*n**3.
-18*n**3 - 23*n
Collect the terms in -9886440*z**2 - 32*z**3 + 9886440*z**2 - 2*z.
-32*z**3 - 2*z
Collect the terms in 37 + 42 - 321*v + 20 - 91.
-321*v + 8
Collect the terms in 2*z + 17490*z**2 - 8672*z**2 - 8817*z**2.
z**2 + 2*z
Collect the terms in -32839*l**3 + 9514*l**3 + 23328*l**3.
3*l**3
Collect the terms in -1 + 1 + 47948524*s**2 - 47948525*s**2 + 0.
-s**2
Collect the terms in -2193*i**3 + 1263*i**3 - 3539*i**3.
-4469*i**3
Collect the terms in -6*v**3 - 1032864*v + 34*v**3 - 1032862*v + 2065726*v.
28*v**3
Collect the terms in 277 + 38 + 103 - 110 + 130 - 6*w.
-6*w + 438
Collect the terms in -12*u - 26*u + 644*u**2 - 234*u**2.
410*u**2 - 38*u
Collect the terms in 3 - 119*t - 3 + 69*t + t**2 - 25*t**2 + 54*t.
-24*t**2 + 4*t
Collect the terms in c**3 + 463814*c - 463827*c + c**3.
2*c**3 - 13*c
Collect the terms in -225*b + 237*b - 1335951 + 1335951.
12*b
Collect the terms in -52*z - 24*z + 88*z + 46*z - 54*z.
4*z
Collect the terms in -7*l**3 - 81866391585 + 81866391585 - 41*l**3.
-48*l**3
Collect the terms in 61111*w**2 + 60598*w**2 - 122777*w**2.
-1068*w**2
Collect the terms in -366 + 567 + 2*p**2 - 383.
2*p**2 - 182
Collect the terms in -12*j**3 - 4*j**3 + 46*j**3 - 110*j**3 + 21*j**3.
-59*j**3
Collect the terms in 48 + 8766*h**3 - 90 + 42 - 59631*h**3.
-50865*h**3
Collect the terms in -c**2 + 6*c - 6816738594 + 6816738594.
-c**2 + 6*c
Collect the terms in -23 + 122*c - 193 - 59*c - 64*c - 61.
-c - 277
Collect the terms in -1428 + 5*d - 1437 + 4533 - 1668.
5*d
Collect the terms in -64 + 769130*f**2 + 49 + 15.
769130*f**2
Collect the terms in -540 + 540 - 24689614*o**2.
-24689614*o**2
Collect the terms in -521 - 2*a**2 + 2*a**2 - 27522*a**3 + 521.
-27522*a**3
Collect the terms in -2 | {
"pile_set_name": "DM Mathematics"
} |
y) = 338*y + 26. Let a(l) = -11*r(l) - 6*t(l). Let m(n) = -12*n. What is m(a(s))?
48*s + 156
Let z(n) = 3*n**2 - 5*n**2 + 2*n**2 + 4*n**2. Let y(b) be the first derivative of 49*b**2 - 1037. What is z(y(m))?
38416*m**2
Let g(i) = -17*i. Let j(r) be the second derivative of -r**4/3 - 681*r. What is g(j(d))?
68*d**2
Let j(y) be the first derivative of 3*y**2/2 - 1. Let k(m) = -44*m + 293. Let t(s) = 10*s - 64. Let u(o) = 5*k(o) + 23*t(o). What is j(u(c))?
30*c - 21
Suppose -2*s - 6 = -5*s. Let l(y) = 11*y**s + 12*y**2 + 3*y**2. Let m(x) = x**2 - 3*x + 6. Let i(u) = -2*u + 4. Let r(h) = -3*i(h) + 2*m(h). Determine l(r(d)).
104*d**4
Let x(h) be the third derivative of h**5/60 + 6*h**2. Let n(p) be the third derivative of 0*p**4 + 0 + 0*p**3 + 0*p - 1/30*p**5 + 26*p**2. Determine x(n(a)).
4*a**4
Let a(o) = -45*o. Let l(y) = -303*y. Let q(i) = 27*a(i) - 4*l(i). Let d(c) = -11*c**2 + 10. Calculate d(q(n)).
-99*n**2 + 10
Let f(c) = 6*c - 9 - c + 9. Let g(w) be the second derivative of 0*w**2 - 1/6*w**4 - 20*w + 0*w**3 + 0. Calculate g(f(k)).
-50*k**2
Let z(q) be the first derivative of 65*q**2/2 + 149. Let o(u) = 13*u**2. Give o(z(m)).
54925*m**2
Let q(o) = 2*o. Let t(z) = -96*z + 11. Let d(u) = 7*u**3 + u**2 - 2. Let g be d(1). Let i(b) = -193*b + 20. Let f(c) = g*i(c) - 11*t(c). Calculate f(q(a)).
-204*a - 1
Let x(v) = v**2 + 46*v. Let j(n) = 5*n + 110 + 65 - 175. Determine j(x(p)).
5*p**2 + 230*p
Let x(k) = 375*k**2. Let v(j) = 5178*j. What is v(x(s))?
1941750*s**2
Let n(r) be the first derivative of -10*r**3/3 - 3. Suppose -6*l - 5*g = -l - 35, 16 = 3*l + 2*g. Let k(v) = v**2 - v**2 - 6*v**2 + 9*v**l. Calculate k(n(d)).
300*d**4
Let f(w) = 17*w. Let s(k) = 17594398*k. Determine s(f(t)).
299104766*t
Let g(d) = 164*d - 33368. Let v(q) = -2*q. Calculate v(g(a)).
-328*a + 66736
Let r(q) = 495*q**2. Let v(d) = 403*d - d**2 - 403*d. Determine r(v(k)).
495*k**4
Let q(c) = c. Let u(a) = 5*a - 1. Let t(n) = -q(n) - u(n). Let x(z) = 52*z - 8. Let v(l) = -8*t(l) - x(l). Let i(y) = 3*y + 5. Determine v(i(k)).
-12*k - 20
Let c(q) be the third derivative of -q**5/12 - 12*q**2 - 1190. Let k(m) be the second derivative of 0*m**3 + 2*m + 0 + 1/12*m**4 + 0*m**2. Give c(k(f)).
-5*f**4
Let v(m) = -3*m. Let l(h) = 2372*h**2 - 612. What is l(v(n))?
21348*n**2 - 612
Let m(x) be the first derivative of x**2 + 2*x + 4. Let s be m(1). Let i(g) = 4 + 2*g**2 - s. Let w(t) = -t. Give i(w(r)).
2*r**2
Let x(o) = o. Let l(y) = -17727366*y**2. Give l(x(i)).
-17727366*i**2
Let h(q) = -7 + 6*q**2 - 52*q**2 + 41*q**2 - 1. Let u(s) = -10*s. Determine u(h(i)).
50*i**2 + 80
Let x(o) be the third derivative of 0*o**3 - 2*o**2 + 0*o + 0 + 1/8*o**4. Let z(n) = -7*n**2 - n**2 + 131 - 131. Determine x(z(c)).
-24*c**2
Let x(v) = 63 - 44553*v + 89109*v - 44554*v. Let q(f) = -15*f - 1. Determine q(x(n)).
-30*n - 946
Let z(p) = -2422 - 43*p + 1207 + 1215 + 44*p. Let g(k) be the third derivative of 0*k + 0*k**3 + 0 - 2*k**2 - 37/24*k**4. What is z(g(f))?
-37*f
Let a(t) = 57*t. Let x(n) = -12290*n + 2. Calculate x(a(i)).
-700530*i + 2
Suppose -3*i = 19 - 25. Let m(b) = 2*b**2 - 3*b**2 + 8*b**2 + 5*b**i. Let s(l) be the second derivative of -l**4/3 + 5*l. Calculate s(m(d)).
-576*d**4
Let b(j) = -521*j**2 + 8*j - 8. Let f(u) = u**2 - u + 1. Let g(d) = -b(d) - 8*f(d). Let h(x) = x**2. Determine h(g(o)).
263169*o**4
Let v(c) = 544955*c**2. Let z(r) = -5*r + 14. Calculate z(v(p)).
-2724775*p**2 + 14
Let p(j) = 44*j**2. Let k(w) = 294*w - 87. Let g(d) = 147*d - 50. Let n(a) = 7*g(a) - 4*k(a). Determine n(p(y)).
-6468*y**2 - 2
Let m(s) = -2*s. Suppose 0 = -6*x - 118 + 130. Let g(l) = 268*l**x + 263*l**2 - 515*l**2. Determine g(m(k)).
64*k**2
Let o(f) = -21063*f. Let k(z) = 86*z - 6. Give k(o(l)).
-1811418*l - 6
Let l(v) = -6692345*v. Let p(q) = -2*q**2 - 21*q. What is l(p(u))?
13384690*u**2 + 140539245*u
Let w(r) = 9 - 9 - 2*r. Suppose 16*v - 22 = 10. Let f(t) = 277 - 277 + v*t**2. What is w(f(m))?
-4*m**2
Let s(x) = 157*x**2 + 101*x - 12. Let k(m) = 157*m**2 + 84*m - 10. Let b(j) = 6*k(j) - 5*s(j). Let i(c) = -10*c. Calculate i(b(h)).
-1570*h**2 + 10*h
Let m(s) be the third derivative of -s**5/60 - 7*s**2. Let y = -34 - -58. Let i(k) = 29*k - 8*k + y*k - 11*k. Give i(m(w)).
-34*w**2
Let b(q) = 22*q. Let c(d) = -4*d - 106553. Determine c(b(g)).
-88*g - 106553
Let m be 33/(-5)*10/(-6). Let p(i) = 40*i + m - 26 + 2*i + 14. Let q(o) = o**2. Give q(p(a)).
1764*a**2 - 84*a + 1
Let g(i) = 4*i**2 + 26*i**2 - 17*i**2 - 18*i**2 + 11. Let s(m) = -3*m**2. Determine g(s(q)).
-45*q**4 + 11
Let j(b) = 1178*b**2 + 1186*b**2 - 2366*b**2. Let u(y) = 2*y - 85. Calculate j(u(r)).
-8*r**2 + 680*r - 14450
Let h(g) = 4*g. Let y(m) = -1452*m + 2813. Calculate h(y(l)).
-5808*l + 11252
Let s(g) = 21*g**2. Let p(t) be the first derivative of 195*t**2/2 + 6760. Determine s(p(n)).
798525*n**2
Let w(v) = -9*v - 145 + 145. Let c(i) be the second derivative of 0*i**2 + 0 + 0*i**3 - 4*i + 1/12*i**4. What is w(c(n))?
-9*n**2
Let k(n) = 2*n + 29361. Let j(v) = 1533*v. Determine k(j(p)).
3066*p + 29361
Let j(i) = -577*i + 1749*i + 0 - 584*i - 589*i + 0. Let d(f) be the first derivative of 61/3*f**3 + 1 + 0*f**2 + 0*f. Determine j(d(u)).
-61*u**2
Let d(c) = 39*c. Let a(y) = 390*y - 3. Let n(v) = -2*a(v) + 21*d(v). Let t(f) = 40*f + 5. Let o(i) = 5*n(i) - 6*t(i). Let g(u) = 4*u**2. Give o(g(w)).
-180*w**2
Let z(c) = 2*c - 613. Let h(d) be the first derivative of d**3/3 + 1793. Determine h(z(b)).
4*b**2 - 2452*b + 375769
Let k(a) be the third derivative of -a**5/60 - 16*a**2. Suppose 4*b + 40 = 2*o + 2*o, -3*o = 2*b - 15. Let f(d) = 128 - 257 + o*d**2 + 128. Give k(f(n)).
-49*n**4 + 14*n**2 - 1
Let x(v) be the third derivative of -v**5/60 - 348*v**2. Let d(k) be the first derivative of 31*k**2 - 2. What is d(x(a))?
-62*a**2
Let o(j) = 120*j. Let p(r) = 4*r**2 + 3*r + 6. Let t(m) = -m + 3*m**2 - 5*m**2 - 3*m**2 - 4 - 3*m - 4. Let h(k) = -4*p(k) - 3*t(k). Calculate h(o(f)).
-14400*f**2
Let n(m) be the second derivative of 45*m**3/2 + 2*m - 54. Let h(i) = 26*i. What is n(h(g))?
3510*g
Let n(u) = 2*u**2. Let y(o) = -3519*o**2 + 3*o + 8. Let p(j) = j**2 + j + 3. Let g(d) = -3*p(d) + y(d). What is g(n(a))?
-14088*a**4 - 1
Let t(m) = -8*m**2. Let s(v) be the first derivative of 8215*v + 96 - v**3 - 8215*v. Determine t(s(h)).
-72*h**4
Let d(v) = -62*v. Let z(y) be the third derivative of -37*y**5/60 + y**4/8 - 2*y**2 - 72*y - 20. Calculate d(z(c)).
2294*c**2 - 186*c
Let s(u) = -12*u + 5. Let w be s(-7). Let d be 34/(-102) - (-2)/6 - -41. Let q(b) = 44*b + d*b - w*b. Let j(k) = 3*k. Determine q(j(a)).
-12*a
Let w(u) = -1177474*u + 2. Let p(c) = 25*c + 13. Give p(w(i)).
-29436850*i + 63
Let w(q) be the second derivative of q**3/2 + q + 38. Let n(p) be the third derivative of -19*p**5/30 + 37*p**2 + 3. Determine w(n(t)).
-114*t**2
Let b(z) = 33*z**2 - 1. Let k(a) = 3*a. Let y(m) = -m + 1. Let t(n) = -10*n + 12. Let x(p) = t(p) - 12*y(p). Let g(o) = 3*k(o) - 6*x(o). What is g(b(r))?
-99*r**2 + 3
Let d be 6/4 + (-1)/2. Let o(f) be the third derivative of -f**3/6 + 32*f**2. Let v(q) = q + 1. Let g(r) = d*o(r) + v(r). Let t(y) = 11*y. Give t(g(s)).
11*s
Suppose 10*l - 22*l = -12264. Let f(b) = 2039*b**2 - l*b**2 - 1022*b**2. Let y(c) = 3*c**2. Calculate y(f(q)).
75*q**4
Let w(f) be the third derivative of -f**5/20 - 2*f**2. Let n(t) be the third derivative of 0 + 0*t + 42*t**2 - 5/24*t**4 + 0*t**3. Give n(w(b)).
15*b**2
Let t(o) = 37*o**2. Let a(b) = -1942405*b**2. Determine a(t(z)).
-2659152445*z**4
Let h(l) be the second derivative of 107*l**4/6 - 5923*l - 2. Let b(s) = -s + 1. Let m(r) = -2*r + 3. Let k(t) = -3*b(t) + m(t). What is h(k(p))?
214*p**2
Let g(y) = -109*y - 1. Let o(t) = -110*t - 1. Let u(r) = -3*g(r) + 3*o(r). Let l(s) = -1812*s**2. Determine l(u(v)).
-16308*v**2
Let m(p) = -419176 - 46*p**2 - 14*p + 15*p + 419176. Let o(h) = h - 1. Let s(d) = -d**2 - 3*d + 3. Let g(f) = -3*o(f) - s(f). What is g(m(i))?
2116*i**4 - 92*i**3 + i**2
Let w(d) = 2*d**2. Let s(x) be the second derivative of 7*x**5/4 - 92*x**3/3 + 3*x + 80. Let u(b) be the second derivative of s(b). Calculate u(w(r)).
420*r**2
Let n(y) = -467*y. Let d(t) = -t**2 + 18*t - 43. Let i be d(15). Let l(p) = -2*p**2 + 17*p**i - 7*p**2 - 6*p**2. What is l(n(q))?
436178*q**2
Let x(w) | {
"pile_set_name": "DM Mathematics"
} |
Let o(y) = 2*y**2. Calculate g(o(c)).
-52*c**4
Let n(o) = -o. Suppose 3*h + 11 = l, l - h + 3 = 4*l. Let i(g) = -2*g**2 + 2*g**2 - 3*g**l - g**2. Determine n(i(w)).
4*w**2
Let n(j) be the third derivative of j**4/8 + 23*j**2 - 2. Let v(s) = -10*s**2. What is v(n(k))?
-90*k**2
Let p(f) = 5*f**2. Let j(x) = -12*x**2 + 2*x. Determine p(j(q)).
720*q**4 - 240*q**3 + 20*q**2
Let t(k) = 5*k**2 - 2*k**2 - 4*k**2. Let w(f) = 3*f - 7. Let y(n) = n - 2. Let g(p) = 6*w(p) - 21*y(p). Give t(g(c)).
-9*c**2
Let b(i) = -2*i. Let c(y) = -2*y - 51. Determine c(b(f)).
4*f - 51
Let u(s) = -s + 15. Let a(h) = -h. Calculate u(a(w)).
w + 15
Let m(f) = -105*f. Let y(t) = 3*t. What is m(y(o))?
-315*o
Let c(i) = 2 + 8 - 10 - 8*i**2. Let r(h) = -2*h**2. Give c(r(p)).
-32*p**4
Let c(y) = -y**2 - 11*y. Let w(t) = 6*t**2. Determine c(w(k)).
-36*k**4 - 66*k**2
Let n(f) = -6*f. Let t(h) be the first derivative of -4*h**3/3 - 1. Calculate t(n(o)).
-144*o**2
Suppose 0 = -2*r + 5*r - 6. Let h(z) = 0*z - z + z - r*z. Let l(u) = -2*u + u - 3*u. Determine h(l(b)).
8*b
Let v(h) = -39 - h**2 + 39 + 0*h**2. Let m(y) = 4*y. Determine m(v(z)).
-4*z**2
Let l(w) = 3*w**2 + 4*w - 4. Let a(x) = -6*x**2 - 7*x + 7. Let r(i) = -4*a(i) - 7*l(i). Let k(z) = -z + 6*z - 3*z. Give k(r(d)).
6*d**2
Let p(i) = i**2. Let j(u) = 1508*u**2. Calculate p(j(f)).
2274064*f**4
Let y(v) = -3*v**2 + 4*v**2 - 3*v**2 + 3*v**2. Let c(s) be the second derivative of s**3/6 + s. Give y(c(f)).
f**2
Let l(a) = 63*a. Let p(d) be the second derivative of d**4/12 - 58*d. Calculate p(l(i)).
3969*i**2
Let t(x) = x**2 + x. Let s(c) = 32*c**2 + c. Let a(r) = s(r) - t(r). Let b(j) = -j**2. Determine b(a(h)).
-961*h**4
Let b(w) be the first derivative of w**3/3 - 3. Let q be 0*((-2)/4)/(-1). Let o(h) = 2*h**2 + 0*h + q*h. Determine o(b(a)).
2*a**4
Suppose -11 = -5*s + 9. Let k(x) = -6*x + 3*x + s*x. Let a(c) = 7*c. Let u(r) = -4*r. Let l(j) = 3*a(j) + 5*u(j). Determine k(l(t)).
t
Let c(o) = -o**2. Let f(x) = 345*x. Give c(f(l)).
-119025*l**2
Let g(j) = 2*j. Let p(u) = -90 + 10*u**2 + 90. Give g(p(y)).
20*y**2
Let x(z) = -2*z**2. Let l = 4 - 2. Let s(n) = -4 + 2 + l + 5*n**2. Calculate s(x(t)).
20*t**4
Let h(z) = 24*z - 13*z - 5*z**2 - 11*z. Let u(o) = o**2. Give h(u(n)).
-5*n**4
Let t(j) = j. Let i(g) = g**3 - 11*g**2 + 18*g + 2. Let v be i(9). Let c(x) be the second derivative of -1/2*x**3 + 0*x**v - 2*x + 0. What is t(c(n))?
-3*n
Let t(b) = -259*b - 119. Let g(h) = -13*h - 6. Let d(q) = 119*g(q) - 6*t(q). Let k be ((-4)/6)/((-3)/9). Let y(u) = -16 + 16 - k*u**2. Determine y(d(o)).
-98*o**2
Let a(m) = 11*m**2. Let t(w) = -31*w + 15*w + 13*w. Give t(a(f)).
-33*f**2
Suppose 102 = 4*r - 98. Let w be 5*1*20/r. Let j(u) = 2*u + w - 2. Let k(p) = -3*p. What is k(j(d))?
-6*d
Let n(c) = 3*c**2. Let i(h) = 140*h**2 - 11. Give i(n(u)).
1260*u**4 - 11
Let y(o) = 6*o**2 - o - 166. Let v(f) = 4*f**2. Give y(v(s)).
96*s**4 - 4*s**2 - 166
Let v(t) = -5*t. Let d(q) = 0*q - 2*q - 2*q - 1 + 3*q - q**2. Let h(g) = -3*g**2 - 2*g - 2. Let l(b) = 4*d(b) - 2*h(b). What is l(v(p))?
50*p**2
Let z(d) = 3*d**2. Let j(m) = 7*m**2 - m**2 + 4*m**2 - 7*m**2. Determine j(z(v)).
27*v**4
Let f(s) be the second derivative of 1/4*s**4 + 0*s**3 + 3*s + 0*s**2 + 0. Let t(w) = -w. Determine f(t(h)).
3*h**2
Let s(h) be the third derivative of -h**5/60 + h**2. Let i(u) be the third derivative of -u**5/30 - u**2. Give i(s(o)).
-2*o**4
Let v be (-4)/(-6)*6*1. Let i(c) = 2*c + c - v*c + 0*c. Let t(u) = 2*u. What is t(i(w))?
-2*w
Let q(t) = 75*t**2. Let g(b) = -180*b. What is q(g(z))?
2430000*z**2
Let d(o) = 4*o**2 + 0*o**2 - 3*o**2. Let w(q) be the first derivative of q**3/3 - 3. What is d(w(p))?
p**4
Let q(x) = -5*x. Let m(h) = -h**3 - 4*h**2 + 4*h - 3. Let l be m(-5). Let v = -1 + 3. Let i(z) = -7*z**l + 3*z**2 + 2*z**v. Calculate q(i(c)).
10*c**2
Let k(t) be the second derivative of 0*t**2 + 0 - 3*t + 1/2*t**4 + 0*t**3. Let b(h) = -h**2. Give k(b(z)).
6*z**4
Let i(j) = -48*j + 102*j - 50*j. Let q(f) = -3*f. What is q(i(k))?
-12*k
Let s(z) = -3*z**2 + 2 - 2 + 0. Let n(j) be the second derivative of -j**4/6 - 2*j. Determine n(s(i)).
-18*i**4
Let k(f) = -3*f. Let n = 21 + -10. Let l(u) = -4*u**2 + n*u**2 - 37*u + 37*u. What is k(l(a))?
-21*a**2
Let y(d) = -84*d**2. Let w(k) be the first derivative of k**2 + 47. What is y(w(l))?
-336*l**2
Let k(s) = -77*s**2. Let t(i) = -i**2. Calculate t(k(y)).
-5929*y**4
Let b(q) = -2*q**2 - 13*q. Let p(g) = 8*g - 2. What is b(p(h))?
-128*h**2 - 40*h + 18
Let i(b) = -24*b - 1. Let k(t) = -2*t. Give k(i(x)).
48*x + 2
Let s(l) be the third derivative of -l**5/60 - l**3/6 - l**2. Let g(j) be the first derivative of s(j). Let n(z) = 2 - 2 + 2*z. Give n(g(f)).
-4*f
Let f(h) = 9*h. Let c(d) = -21*d. Give c(f(v)).
-189*v
Suppose -2*f = 3*f. Let w(p) be the third derivative of f*p + 0*p**3 + 2*p**2 + 0 + 1/24*p**4. Let k(i) = 2*i**2. Determine w(k(n)).
2*n**2
Let r(p) = -5*p. Let q(l) = 3*l - 5. Let w be q(5). Suppose 6*z - w = z. Let x(i) = -i - 3*i + z*i + 0*i. Calculate r(x(f)).
10*f
Let t(y) = -6*y**2. Let r(w) = 0 - 7 - w**2 + 7. What is r(t(s))?
-36*s**4
Let w(f) = -16*f**2. Let a(p) = -15*p**2. Calculate w(a(x)).
-3600*x**4
Let r(q) be the second derivative of -q**4/12 + 2*q. Let l(m) = -4*m + 3. Let t(o) = -3*o + 2. Let g(b) = -2*l(b) + 3*t(b). Calculate g(r(d)).
d**2
Let j(i) = -3*i**2. Let d(o) = o. Let c(p) = -5*p. Let w(k) = c(k) + 6*d(k). Calculate j(w(b)).
-3*b**2
Let i(j) = -3*j. Let v(k) be the third derivative of 2*k**2 + 0 + 0*k + 0*k**3 + 0*k**4 + 1/60*k**5. Calculate i(v(x)).
-3*x**2
Let w(i) = i**2. Let d(b) = -3700*b. What is d(w(f))?
-3700*f**2
Let d(g) be the first derivative of g**2/2 + 6. Let v(t) be the second derivative of -t**3/6 + 2*t. Determine d(v(p)).
-p
Let r(u) = 0 + 0 - 2*u. Let p(z) = -2*z - 3. Let q(h) = 2*h + 2. Let t(s) = 2*p(s) + 3*q(s). Give t(r(x)).
-4*x
Let p = 7 - 0. Let a(y) = -y + 7*y - p*y. Let r(f) = f**2. Determine r(a(o)).
o**2
Suppose -5*w = -0 + 15. Let s(p) = -3*p - 4. Let f(y) = 2*y + 3. Let k(l) = w*s(l) - 4*f(l). Let b(x) = -x**2. Give b(k(t)).
-t**2
Let o(t) = -14*t**2. Let w(i) = -8*i + 2*i + 8*i. Determine w(o(k)).
-28*k**2
Let n(s) = -27*s**2 + 2*s. Let b(a) be the first derivative of -a**2 - 22. Give n(b(p)).
-108*p**2 - 4*p
Let g(t) = 2*t**2 - 28*t. Let f(c) = 5*c**2. What is g(f(p))?
50*p**4 - 140*p**2
Let w(l) = -5*l - 9. Let d(m) = -2*m + m - 2 - 3*m + 3*m. Let i(y) = 9*d(y) - 2*w(y). Let a(r) = 12*r. Calculate i(a(g)).
12*g
Let i(b) = -7*b**2 - 6. Let q(p) be the first derivative of -5*p**3 - 13*p + 2. Let f(z) = -13*i(z) + 6*q(z). Let c(d) = 0*d - d + 1 - 1. What is f(c(t))?
t**2
Let h(f) = -12*f**2. Let v(s) = -s**2 - 7*s**2 + 6*s**2. Calculate h(v(l)).
-48*l**4
Let i(d) = -26*d**2. Let p(c) = -2*c**2. What is p(i(z))?
-1352*z**4
Let d(z) = 6*z. Let g be 14/6 - (-2)/3. Let l(x) = -g*x + 3*x + x + x. Give d(l(o)).
12*o
Let d(f) = -2*f**2 - 24. Let u(t) = -92*t**2. Give d(u(b)).
-16928*b**4 - 24
Let o(a) = a + 0*a + a**2 - a. Let m(c) be the second derivative of c**3/3 + 2*c. Calculate m(o(w)).
2*w**2
Let h(m) = 2*m - 62. Let i(v) = 2*v. Give i(h(o)).
4*o - 124
Let y(b) = b**2. Let u(k) = -70*k**2 + 9*k - 1. Calculate u(y(f)).
-70*f**4 + 9*f**2 - 1
Let o(y) = 5*y**2. Let v(a) = -267*a + 1. What is v(o(n))?
-1335*n**2 + 1
Let i(d) = 64 - 64 - 9*d. Let j(x) = -2*x**2. Determine i(j(u)).
18*u**2
Let m(r) be the first derivative of r**3/3 + 12. Let y(i) = 2*i. What is m(y(l))?
4*l**2
Let l(g) be the first derivative of -g**3/3 - 6. Let c(a) = 4*a**2. What is l(c(f))?
-16*f**4
Let o(m) be the third derivative of -m**4/12 - 31*m**2. Let j(i) = 10*i. Determine o(j(k)).
-20*k
Let i(g) = 3*g. Let r(t) = -25*t. Let j(h) = 51*i(h) + 6*r(h). Let p(u) be the third derivative of -5*u**4/24 - 47*u**2 + 3*u. Calculate p(j(b)).
-15*b
Let g be 2*(-10)/4*-1. Let n(c) = -19*c + 3*c + 12*c + g*c. Let q(i) = -26*i. Give n(q(z)).
-26*z
Let x(b) be the third derivative of -b**4/24 + 7*b**2. Let j(z) = -z. Give x(j(u)).
u
Let t(p) be the second derivative of 1/6*p**3 - 3*p + 0*p**2 + 0. Let x(l) = -2*l. What is x(t(v))?
-2*v
Let c(v) = 2*v + 581. Let g(w) = -2*w. What is c(g(l))?
-4*l + 581
Let h(q) = 78*q - 1. Let z(j) = -2*j. What is z(h(s))?
-156*s + 2
Let f(n) be the second derivative of -n** | {
"pile_set_name": "DM Mathematics"
} |
1?
157
Calculate the greatest common factor of 45351137 and 2319.
773
Calculate the highest common divisor of 16976 and 384398178.
2122
What is the highest common divisor of 59231634 and 531?
177
What is the greatest common divisor of 48106 and 363408?
134
Calculate the greatest common divisor of 65226 and 100573833.
4659
Calculate the greatest common factor of 9689464 and 24.
8
What is the highest common factor of 16238355 and 147?
147
What is the highest common factor of 564708 and 24?
12
What is the highest common factor of 13054580 and 4620?
1540
Calculate the greatest common factor of 19525707 and 108.
9
Calculate the greatest common factor of 92486 and 923095.
353
Calculate the greatest common factor of 278962339 and 58.
29
What is the highest common factor of 11415 and 65265?
15
Calculate the greatest common factor of 39037560 and 72.
24
What is the highest common divisor of 2312957 and 7715?
1543
Calculate the greatest common divisor of 18640 and 368960.
80
Calculate the highest common factor of 301774 and 123598.
58
Calculate the highest common divisor of 24534 and 787626.
846
Calculate the highest common divisor of 103892 and 38051812.
5468
Calculate the highest common factor of 106938 and 2762838.
234
What is the greatest common factor of 1132342691 and 236?
59
What is the greatest common divisor of 1296510772 and 464?
116
What is the greatest common factor of 13020 and 5787740?
140
Calculate the greatest common factor of 2610 and 6707055.
15
Calculate the greatest common factor of 49 and 298299554.
49
Calculate the highest common factor of 405 and 205116.
3
What is the highest common divisor of 5773579 and 11767?
287
Calculate the highest common divisor of 64445706 and 13.
13
What is the greatest common divisor of 2921 and 483621?
23
Calculate the greatest common factor of 17210 and 32420198.
3442
What is the highest common factor of 62184 and 21875813?
2591
What is the highest common factor of 252340 and 87265?
155
Calculate the greatest common factor of 155402 and 104.
26
Calculate the greatest common factor of 1029 and 341117.
7
Calculate the greatest common factor of 3530914 and 6785.
1357
What is the highest common divisor of 6911911 and 1887?
17
What is the greatest common factor of 6738 and 593641383?
3369
What is the greatest common factor of 837 and 43389?
27
What is the greatest common factor of 28 and 554380624?
28
What is the greatest common divisor of 8466 and 3672?
102
Calculate the greatest common divisor of 1646197 and 140.
7
Calculate the greatest common factor of 819236 and 1276.
44
What is the highest common factor of 150 and 29334350?
50
What is the highest common factor of 49723245 and 33?
33
Calculate the highest common factor of 78105 and 14518005.
1905
What is the highest common factor of 45764 and 50626?
34
Calculate the greatest common divisor of 273 and 10659129.
39
What is the highest common factor of 304569 and 18?
9
What is the greatest common divisor of 316540430 and 30?
10
Calculate the highest common factor of 925942872 and 453.
453
Calculate the highest common factor of 146250 and 176460.
30
What is the greatest common divisor of 660461 and 477417?
683
Calculate the greatest common divisor of 9952024 and 10.
2
What is the highest common divisor of 311173980 and 24?
12
Calculate the highest common factor of 2702979 and 9.
9
Calculate the greatest common divisor of 168 and 2082038.
14
What is the greatest common divisor of 28251 and 654170739?
9417
What is the highest common factor of 146266534 and 866?
866
Calculate the highest common divisor of 11367250 and 59500.
250
Calculate the greatest common divisor of 101 and 49096100.
101
Calculate the highest common divisor of 937 and 1510901256.
937
What is the highest common factor of 921987 and 19296?
603
What is the greatest common divisor of 84 and 274722840?
84
What is the highest common divisor of 204135 and 366110?
155
Calculate the greatest common factor of 447763 and 11169.
17
What is the highest common factor of 17425 and 39011090?
3485
Calculate the greatest common factor of 388884 and 466486.
46
What is the highest common divisor of 102606 and 5718714?
2094
Calculate the greatest common divisor of 797608701 and 162.
81
What is the highest common factor of 3413925 and 7725?
75
Calculate the greatest common factor of 1131207 and 141295.
77
What is the greatest common divisor of 10096595 and 3950?
395
What is the highest common factor of 9347388 and 108?
12
Calculate the greatest common divisor of 2611 and 30404722.
373
What is the highest common factor of 236766 and 270?
6
What is the highest common factor of 92 and 181301318?
46
What is the greatest common divisor of 5866596 and 1712?
428
What is the highest common divisor of 244106 and 10?
2
What is the greatest common divisor of 19 and 56637689?
19
What is the greatest common divisor of 331158 and 472002?
582
What is the highest common divisor of 875 and 2466800?
175
What is the highest common divisor of 29859 and 13431?
111
What is the greatest common factor of 316762 and 104746?
1262
What is the highest common divisor of 3358 and 10552734?
146
Calculate the highest common factor of 58536 and 5296695.
813
What is the highest common factor of 74947 and 11771?
149
Calculate the greatest common divisor of 28119650 and 2750.
50
Calculate the greatest common divisor of 25480 and 32326.
14
What is the highest common divisor of 172205 and 290?
5
What is the highest common divisor of 226 and 456667013?
113
Calculate the highest common factor of 19523008 and 2592.
32
Calculate the greatest common divisor of 89104 and 110224.
16
Calculate the greatest common factor of 13727398 and 1020.
34
What is the greatest common factor of 1007 and 4985445?
53
What is the highest common divisor of 36608 and 473044?
572
What is the highest common divisor of 8 and 51429984?
8
What is the greatest common divisor of 484889520 and 16110?
5370
What is the highest common divisor of 1598644 and 30652?
316
Calculate the highest common divisor of 3990 and 634809.
399
Calculate the highest common divisor of 20915923 and 7.
7
What is the greatest common factor of 156 and 4739268?
12
Calculate the highest common divisor of 1725 and 91992180.
345
Calculate the greatest common divisor of 22992 and 17328.
48
Calculate the greatest common divisor of 46 and 53088761.
23
What is the greatest common divisor of 115008452 and 52?
52
What is the highest common divisor of 48843733 and 103?
103
What is the highest common factor of 11652784 and 32912?
1936
What is the greatest common factor of 1708 and 4345579?
427
What is the greatest common factor of 27562 and 5006?
2
Calculate the greatest common factor of 3213055 and 2755.
145
Calculate the greatest common factor of 1610 and 422367170.
230
What is the greatest common factor of 335071214 and 5744?
718
What is the highest common factor of 57 and 61918302?
57
Calculate the highest common divisor of 12021030 and 630.
630
What is the highest common factor of 457719688 and 29688?
9896
What is the highest common divisor of 306693 and 88723?
307
What is the highest common factor of 400970228 and 2556?
284
Calculate the greatest common divisor of 3156196 and 3809.
293
What is the greatest common divisor of 811342762 and 166?
166
What is the highest common factor of 6030 and 786312?
1206
Calculate the greatest common factor of 1911958 and 76630.
158
Calculate the greatest common factor of 274358922 and 48072.
12018
What is the greatest common factor of 37036332 and 432?
108
Calculate the highest common factor of 336645052 and 1256.
628
What is the highest common divisor of 4290 and 144694?
22
Calculate the highest common factor of 84042 and 597954.
966
Calculate the highest common factor of 5966054 and 667.
29
What is the highest common factor of 299647576 and 136?
136
Calculate the highest common factor of 231819 and 102277.
133
What is the highest common factor of 142706465 and 7095?
2365
What is the highest common factor of 11100798 and 38144?
298
What is the highest common divisor of 3445 and 174590?
65
What is the greatest common divisor of 40 and 252188060?
20
What is the highest common factor of 16116 and 154428?
204
Calculate the highest common factor of 18 and 63813186.
18
What is | {
"pile_set_name": "DM Mathematics"
} |
2?
1016
What is next in -16, -14, -6, 14, 52, 114?
206
What comes next: 442, 438, 444, 466, 510, 582, 688, 834?
1026
What comes next: -1913, -1932, -1957, -1982, -2001, -2008, -1997, -1962?
-1897
What is next in -331, -406, -481, -556, -631?
-706
What comes next: -6, -22, -58, -120, -214, -346, -522?
-748
What comes next: -357, -720, -1089, -1464, -1845, -2232, -2625?
-3024
What is the next term in 147, 273, 413, 573, 759, 977, 1233, 1533?
1883
What is next in -104, -112, -124, -140, -160?
-184
What comes next: 137, 137, 139, 143, 149, 157, 167?
179
What is the next term in 111, 135, 177, 237, 315, 411?
525
What is next in -41, -149, -327, -575?
-893
What comes next: -18, -1, 16, 33, 50, 67?
84
What comes next: 22, -18, -48, -62, -54, -18?
52
What is next in 4614, 4619, 4626, 4635, 4646, 4659, 4674?
4691
What is the next term in 385, 430, 465, 484, 481, 450, 385, 280?
129
What is the next term in -153, -151, -149, -147, -145?
-143
What is the next term in -2645, -2644, -2643, -2642?
-2641
What is next in 5, -4, -35, -94, -187, -320, -499, -730?
-1019
What is the next term in 633, 656, 679, 702, 725?
748
What is next in 4, 78, 282, 682, 1344, 2334?
3718
What is the next term in -19, -14, -15, -28, -59, -114, -199, -320?
-483
What is the next term in -6, -90, -244, -480, -810, -1246?
-1800
What is the next term in -67, -137, -207, -277, -347?
-417
What is the next term in 26952, 26950, 26948, 26946?
26944
What is next in 158, 157, 154, 149, 142, 133, 122?
109
What is next in 18, 75, 132?
189
What is next in -73, -80, -123, -220, -389?
-648
What is the next term in -19, 22, 113, 272, 517, 866, 1337?
1948
What is next in -1656, -1655, -1654, -1653, -1652?
-1651
What is the next term in -3, -9, -19, -33, -51, -73?
-99
What comes next: 2897, 2896, 2895, 2894, 2893?
2892
What comes next: -11, -45, -101, -179, -279?
-401
What is the next term in -480, -499, -544, -627, -760, -955?
-1224
What is the next term in -57, -118, -181, -246?
-313
What is the next term in -46, -55, -80, -127, -202, -311?
-460
What is the next term in 123, 201, 279, 357, 435, 513?
591
What comes next: -43, -84, -125?
-166
What comes next: -256, -507, -758?
-1009
What is next in 137, 134, 133, 134, 137, 142?
149
What is next in 26, 22, 18, 14, 10?
6
What is the next term in 57, 111, 161, 207, 249, 287?
321
What comes next: -273, -550, -827, -1104, -1381?
-1658
What is next in -1471, -2945, -4419, -5893, -7367?
-8841
What is the next term in -26, -35, -42, -47, -50, -51?
-50
What comes next: 31, 105, 221, 373, 555?
761
What is the next term in 552, 548, 540, 522, 488, 432?
348
What is the next term in -229, -231, -233?
-235
What comes next: -2800, -2798, -2792, -2782, -2768, -2750, -2728?
-2702
What is the next term in -1, -3, 1, 17, 51, 109?
197
What comes next: 176, 353, 528, 701, 872?
1041
What is next in -13248, -26495, -39742, -52989, -66236?
-79483
What is next in 5, 32, 81, 164, 293, 480, 737?
1076
What comes next: 121, 252, 369, 466, 537, 576, 577?
534
What is the next term in 12095, 12094, 12093, 12092, 12091?
12090
What comes next: -1707, -3408, -5105, -6798, -8487, -10172, -11853?
-13530
What is the next term in 29, 27, 25, 23, 21, 19?
17
What is the next term in -24, -8, 40, 138, 304?
556
What is the next term in 1655, 3318, 4981?
6644
What is the next term in 2477, 9927, 22343, 39725, 62073?
89387
What comes next: 74, 73, 72?
71
What is next in -233, -472, -711?
-950
What comes next: 5596, 5592, 5578, 5548, 5496, 5416, 5302?
5148
What comes next: -203, -204, -205, -206, -207, -208?
-209
What is the next term in -118, -116, -114, -112, -110?
-108
What is next in 629, 1272, 1929, 2606, 3309, 4044?
4817
What is the next term in -41, -55, -71, -89, -109, -131?
-155
What is the next term in 44, 45, 46, 47?
48
What comes next: -22222, -22220, -22218, -22216, -22214?
-22212
What is next in -516, -2062, -4640, -8250, -12892?
-18566
What is next in 22, 16, 0, -32, -86?
-168
What is next in 10980, 10979, 10978, 10977, 10976, 10975?
10974
What comes next: -228, -324, -474, -672, -912?
-1188
What comes next: 164, 328, 492, 656, 820, 984?
1148
What comes next: -181, -334, -485, -634, -781, -926, -1069?
-1210
What is next in 29, 41, 53, 65, 77?
89
What comes next: 152, 302, 454, 608, 764?
922
What comes next: -2900, -2901, -2902?
-2903
What is the next term in 27, 35, 43?
51
What is the next term in -234, -233, -232, -231, -230?
-229
What comes next: 844, 842, 840?
838
What is the next term in -2834, -5668, -8502, -11336, -14170, -17004?
-19838
What is the next term in 13, 22, 27, 22, 1?
-42
What is next in 1640, 1636, 1632, 1628, 1624?
1620
What is next in -23, -4, 51, 160, 341, 612?
991
What is the next term in 46, 209, 488, 889, 1418, 2081, 2884, 3833?
4934
What comes next: -461, -456, -449, -440, -429, -416, -401?
-384
What comes next: -53, -182, -397, -698?
-1085
What is next in -1449, -1430, -1391, -1326, -1229?
-1094
What is next in -290, -293, -296, -299, -302?
-305
What is next in -1159, -1146, -1133?
-1120
What is the next term in 76, 80, 96, 130, 188, 276?
400
What is the next term in -10, -29, -88, -205, -398, -685, -1084?
-1613
What is the next term in 139, 87, -61, -353, -837, -1561, -2573?
-3921
What comes next: 444, 892, 1342, 1794, 2248?
2704
What comes next: -1756, -1755, -1762, -1783, -1824, -1891, -1990, -2127?
-2308
What is the next term in 508, 509, 510, 511, 512, 513?
514
What is the next term in -993, -992, -991, -990, -989, -988?
-987
What is next in -43, -175, -393, -697, -1087, -1563, -2125?
-2773
What is next in 76, 153, 230, 307?
384
What comes next: -31, -46, -61?
-76
What comes next: 8, 64, 176, 350, 592, 908, 1304?
1786
What comes next: 96, 102, 128, 186, 288, 446, 672?
978
What comes next: -532, -533, -534, -535, -536?
-537
What is next in -34, -28, -18, -4?
14
What is the next term in -13962, -13961, -13960?
-13959
What is next in 694, 732, 770, 808, 846, 884?
922
What comes next: -1197, -1200, -1203, -1206?
-1209
What comes next: 20, 43, 62, 77?
88
What is the next term in 28, 37, 48, 61, 76?
93
What is the next term in 13, 10, -11, -56, -131, -242, -395, -596?
-851
What is the next term in -6, -38, -70, -102, -134, -166?
-198
What is next in 8, 34, 60, 74, 64, 18, -76, -230?
-456
What comes next: 21, 51, 81, 111, 141, 171?
201
What is next in 255, 261, 279, 315, 375, 465, 591, 759?
975
What comes next: -187, -195, -203, -211, -219?
-227
What is the next term in 3696, 3691, 3686, 3681, 3676, 3671?
3666
What is next in 249, 270, 287, 300, 309, 314, 315?
312
What is the next term in -39, -85, -129, -159, -163, -129, -45, 101?
321
What comes next: 10191, 20382, 30573, 40764, 50955, 61146?
71337
What is next in 10, 23, 28, 19, -10, -65, -152?
-277
What is next in -283, -279, -277, -277, -279?
-283
What comes next: 3769, 3769, 3783, 3817, 3877, 3969, 4099, 4273?
4497
What is the next term in 62, 92, 110, 110, 86, 32?
-58
What comes next: 12, 6, 0, -6?
-12
What comes next: -8, -61, -200, -467, -904, -1553, -2456?
-3655
What is the next term in 420, 416, 412, 408, 404, 400?
396
What is the next term in 680, 684, 690, 698?
708
What comes next: 10, 58, 124, 196, 262, 310, 328?
304
What is the next term in 166, 180, 210, 262, 342?
456
What comes next: 115, 214, 309, 400?
487
What is the next term in -12, -15, -20, -27, -36, -47, -60?
-75
What is next in 4, 3, -4, -23, -60, -121, -212?
-339
What is the next term in 87, 96, 105, 114, 123, 132?
141
What is next in -580, -2356, -5322, -9484, -14848, -21420, -29206, -38212?
-48444
What is the next term in -883, -890, -897, -904?
-911
What is the next term in 1134, 1142, 1140, 1122, 1082, 1014, 912?
770
What comes next: -31, -62, -95, -130, -167, -206?
-247
What is the next term in -3, 0, 7, 18, 33, 52, 75?
102
What is the next term in 12, 26, 46, 72, 104, 142, 186?
236
What is next in -20208, -20207, -20206, -20205, -20204?
-20203
What is next in 86, 118, 150, 182, 214, 246?
278
What is the next term in 83, 143, 203?
263
What is the next term in -403, -455, -505, -553, -599, -643, -685?
-725
What is the next term in 1049, 2098, 3147, 4196?
5245
What is the next term in 0, -14, -52, -126, -248, -430, -684, -1022?
-1456
What is next in -3796, -3798, -3800?
-3802
What comes next: 106, 105, 104, 103, 102, 101? | {
"pile_set_name": "DM Mathematics"
} |
In base 9, what is -58 + 147?
78
In base 4, what is -11 + 2030320?
2030303
In base 11, what is -13 - 206?
-219
In base 13, what is -1045 + 3?
-1042
In base 9, what is -7814 + 5?
-7808
In base 11, what is 2214 - -56?
226a
In base 14, what is -b5439 + -3?
-b543c
In base 6, what is 1 - -23513?
23514
In base 8, what is -753 - 226?
-1201
In base 15, what is -1517 - -17?
-1500
In base 16, what is 8dfd + -6?
8df7
In base 14, what is 149a + -2a5?
11d5
In base 10, what is 34 - 2465?
-2431
In base 4, what is -13231323 + -20?
-13232003
In base 6, what is -224250 - 10?
-224300
In base 15, what is -2487 + -6?
-248d
In base 6, what is -54 - 13301?
-13355
In base 11, what is 283 + -62?
221
In base 4, what is 13 - -33323003?
33323022
In base 5, what is -4 + -10103?
-10112
In base 9, what is -242 - -85?
-146
In base 4, what is 1 + 311310010?
311310011
In base 15, what is -5 + 28b8?
28b3
In base 13, what is c5 + -2c?
96
In base 6, what is 421004 + 104?
421112
In base 4, what is -2113 + 1202?
-311
In base 4, what is -12232120 + -31?
-12232211
In base 14, what is -13aa71 + 4?
-13aa6b
In base 3, what is -10 + 100122100?
100122020
In base 15, what is -3 - 30b71?
-30b74
In base 15, what is -986 - 7?
-98d
In base 7, what is 60323 - 21?
60302
In base 12, what is -2 + 157a?
1578
In base 10, what is -16111 - -4?
-16107
In base 10, what is 50 + -62415?
-62365
In base 14, what is -1c239 - 42?
-1c27b
In base 5, what is 140302 - 321?
134431
In base 7, what is -130 - 13106?
-13236
In base 4, what is -23202322202 - -10?
-23202322132
In base 13, what is -144a - 4?
-1451
In base 10, what is 2 - 10999?
-10997
In base 10, what is -5 + 7483?
7478
In base 11, what is 1 + -565719?
-565718
In base 7, what is 51 - 23?
25
In base 6, what is -5 + 4150032?
4150023
In base 15, what is -2 - -3c039?
3c037
In base 4, what is 31333002 - 3?
31332333
In base 11, what is 3 - -35062?
35065
In base 12, what is 1a + 115a34?
115a52
In base 10, what is 14934 + 27?
14961
In base 4, what is -1313021202 - 1?
-1313021203
In base 6, what is 30105002 - -5?
30105011
In base 11, what is 140 - -690?
820
In base 16, what is -a9 + 1?
-a8
In base 5, what is 3 - -1404413?
1404421
In base 12, what is 628 - -5?
631
In base 4, what is 13 + 22312021?
22312100
In base 3, what is -10202121101 - 20?
-10202121121
In base 2, what is 11 + -1001100010000000?
-1001100001111101
In base 13, what is 146c6 - 3?
146c3
In base 5, what is -1431 - -14441?
13010
In base 5, what is 21 - -13044?
13120
In base 13, what is -125 + 44c?
327
In base 2, what is -101010000 - -110100?
-100011100
In base 9, what is -160 - -22?
-137
In base 9, what is -5 - 34065?
-34071
In base 12, what is 3 + 30b01?
30b04
In base 3, what is 2202 - 10210200201?
-10210120222
In base 2, what is -1011001010011001011 + -100?
-1011001010011001111
In base 3, what is -10112 - 100120021?
-100200210
In base 9, what is 22641 + -11?
22630
In base 10, what is -258 + -207?
-465
In base 8, what is -12571 + -36?
-12627
In base 3, what is -2112 - -2?
-2110
In base 2, what is -111111 + -1010101?
-10010100
In base 16, what is 525 - f?
516
In base 12, what is 20 - -92748?
92768
In base 4, what is 1011 - -1100?
2111
In base 11, what is -318 + -12?
-32a
In base 11, what is 1 - -22849?
2284a
In base 3, what is 100112 + -10200?
12212
In base 13, what is 8 + a881?
a889
In base 5, what is -2140322 - -32?
-2140240
In base 8, what is 1 - 716217?
-716216
In base 2, what is -1010111001000 + -110?
-1010111001110
In base 2, what is 111111001100110 - -10011?
111111001111001
In base 11, what is -177 + -27?
-1a3
In base 3, what is -1221 - 120002?
-122000
In base 6, what is -1030253 - 1?
-1030254
In base 13, what is 2 - -15737?
15739
In base 15, what is -1c5 - -5?
-1c0
In base 14, what is -51841b + -4?
-518421
In base 4, what is -21 + -333032100?
-333032121
In base 16, what is -1606 + 5?
-1601
In base 11, what is -32331 - 9?
-3233a
In base 7, what is 131113 + -25?
131055
In base 4, what is -11322 + -11110?
-23032
In base 13, what is 381c + -7?
3815
In base 2, what is -1 + 1101010100011?
1101010100010
In base 13, what is 40 + 803?
843
In base 3, what is -221221 - 1020012?
-2012010
In base 10, what is 183 - -999?
1182
In base 14, what is -76b8 + -a?
-76c4
In base 10, what is -250 - 5323?
-5573
In base 10, what is 1215 - -58?
1273
In base 11, what is 0 + -a01?
-a01
In base 13, what is 36 + 8aa9?
8b12
In base 14, what is -d0d + d1?
-c1c
In base 7, what is 141 + 4220?
4361
In base 13, what is -a692 - 4?
-a696
In base 16, what is b74 + -21?
b53
In base 14, what is 9 + c5a?
c65
In base 10, what is -557 - -183?
-374
In base 5, what is -12 + 32201000?
32200433
In base 6, what is 2221151 + 5?
2221200
In base 6, what is 154 + -30544?
-30350
In base 8, what is -3525 + -105?
-3632
In base 3, what is 1102001 + -200?
1101101
In base 7, what is -650255 + -5?
-650263
In base 3, what is 10 + 1011022102111?
1011022102121
In base 10, what is -4 + -7577?
-7581
In base 10, what is -1795988 - 4?
-1795992
In base 12, what is 5 - 11a8?
-11a3
In base 4, what is 203 - -22313102?
22313311
In base 2, what is -10100001011100000 - 101?
-10100001011100101
In base 6, what is -25342 - 43?
-25425
In base 6, what is -230030 - -20?
-230010
In base 15, what is 1 - -18ab1?
18ab2
In base 2, what is 100010100 + 1101111000?
10010001100
In base 11, what is 817 - -3a?
856
In base 11, what is -187 + -164?
-340
In base 9, what is 1 + -7252?
-7251
In base 6, what is -4515 + -201?
-5120
In base 6, what is 11 - 2255212?
-2255201
In base 13, what is -2 - 255a0?
-255a2
In base 7, what is 16110315 - -3?
16110321
In base 11, what is a65a63 - 0?
a65a63
In base 3, what is 2222100122 - 100?
2222100022
In base 16, what is 1ab - -49b?
646
In base 3, what is 112 + 10211020?
10211202
In base 2, what is -1110100101 + 10110100?
-1011110001
In base 7, what is 213 - -32451?
32664
In base 10, what is 21 + 799?
820
In base 12, what is -44b11 - 2?
-44b13
In base 16, what is 9 + 3d74?
3d7d
In base 15, what is 1 + 65917?
65918
In base 7, what is -212 - 3550?
-4062
In base 6, what is -252355 + 5?
-252350
In base 15, what is -1 - 567b?
-567c
In base 13, what is 5 - 105307?
-105302
In base 13, what is -2c12 - 3?
-2c15
In base 7, what is 5 - -164103?
164111
In base 9, what is -8 + -7755?
-7764
In base 5, what is 114031 - 0?
114031
In base 14, what is 164a9 + -9?
164a0
In base 9, what is 3 + -712185?
-712182
In base 6, what is -2 + -2233050?
-2233052
In base 15, what is 4c37 + 1?
4c38
In base 6, what is 2 + -1212140?
-1212134
In base 4, what is -2202322 + 232?
-2202030
In base 3, what is -12 - 11012112?
-11012201
In base 9, what is -742 + -118?
-861
In base 12, what is 8 + -7572?
-7566
In base 10, what is 195572 - -1?
195573
In base 8, what is 30462 + 11?
30473
In base 14, what is -d + da9?
d9a
In base 8, what is -17540 + -1?
-17541
In base 8, what is -2731 + 22?
-2707
In base 15, what is 4 + 5bcb?
5bd0
In base 2, what is -11 + -11101111101111?
-11101111110010
In base 14, what is 0 + -635c2?
-635c2
In base 10, what is -138118 - 5?
-138123
In base 9, what is -120111 - 1?
-120112
In base 4, what is 1002 + -320202?
-313200
In base 6, what is 3 - -34545504?
34545511
In base 13, what is 136b + -78?
12c3
In base 9, what is -77674 - -38?
-77635
In base 8, what is 5 + 4552454?
4552461
In base 13, what is 18 + -5?
13
In base 14, what is -21ccd - 3?
-21cd2
In base 7, what is 161 + 14522?
15013
In base 4, what is 11 + -3210231?
-3210220
In base 11, what is -619 + -113?
-731
In base 10, what is -11 + 43821?
43810
In base 4, what is -211 + -221230?
-222101
In base 14, what is -15 - a3dc?
-a413
In base 8, what is -47 - -637?
570
In base 4, what is 1210233110 + -1?
1210233103
In base 12, what is -8 + 3212b?
32123
In base 9, what is 24332 + -4?
24327
In base 8, what is 5164 - 6?
5156
In base 10, what is -110 + -446?
-556
In base 2, what is -11110010110110100 - 11101?
-11110010111010001
In base 2, what is -110110001001 + -1101111101?
-1000100000110
In base 15, what is -2ee9 + 5?
-2ee4
In base 5, what is 21143122 + -1?
21143121
In base 11, what is -6 + -6156?
-6161
In base 12, what is -a + 2aba0?
2ab92
In base 15, what is -7 - -5c1?
5b9
In base 16, what is 3520 + 2?
3522
In base 10, what is -52609 - 2?
-52611
In base 9, what is -2727 + -4?
-2732
In base 15, what is -d - -6c3?
6b5
| {
"pile_set_name": "DM Mathematics"
} |
5, g: 3, v: 3, s: 1}. What is prob of picking 3 c and 1 v?
1/455
Two letters picked without replacement from {m: 2, a: 1, r: 3, s: 1, y: 11, e: 1}. What is prob of picking 1 e and 1 y?
11/171
Calculate prob of picking 2 z, 1 m, and 1 a when four letters picked without replacement from {m: 3, a: 2, x: 2, s: 5, z: 6, e: 1}.
15/646
Three letters picked without replacement from {s: 1, z: 3, w: 3, e: 5}. What is prob of picking 3 z?
1/220
Two letters picked without replacement from {k: 1, u: 4, z: 3, y: 2, l: 2, h: 2}. What is prob of picking 1 u and 1 l?
8/91
What is prob of picking 1 b, 1 h, and 1 m when three letters picked without replacement from cfbcmhh?
2/35
What is prob of picking 2 c when two letters picked without replacement from mmccmmmccm?
2/15
Two letters picked without replacement from blpxlyo. What is prob of picking 1 b and 1 p?
1/21
Two letters picked without replacement from {y: 7, g: 9}. What is prob of picking 2 g?
3/10
What is prob of picking 1 f and 2 t when three letters picked without replacement from {f: 5, l: 1, t: 3, e: 5, q: 4}?
5/272
What is prob of picking 1 p and 2 e when three letters picked without replacement from {p: 2, e: 1, m: 1}?
0
Three letters picked without replacement from {g: 3, e: 3, a: 1, u: 5}. What is prob of picking 1 u, 1 g, and 1 a?
3/44
Calculate prob of picking 2 m, 1 o, and 1 q when four letters picked without replacement from mqhqhomeomghehghh.
3/595
What is prob of picking 1 a and 1 o when two letters picked without replacement from {r: 10, l: 3, a: 2, o: 3, d: 2}?
3/95
What is prob of picking 1 s, 1 n, and 2 p when four letters picked without replacement from {j: 5, d: 1, n: 1, s: 3, p: 5}?
2/91
Calculate prob of picking 2 y when two letters picked without replacement from {y: 7}.
1
Calculate prob of picking 2 n when two letters picked without replacement from {u: 1, n: 5, a: 4, q: 1, s: 5}.
1/12
Three letters picked without replacement from hppsgshshsgpphhhk. What is prob of picking 1 s, 1 p, and 1 h?
12/85
Two letters picked without replacement from {m: 2, n: 1, y: 4, b: 1, x: 1}. Give prob of picking 1 m and 1 n.
1/18
Calculate prob of picking 3 s when three letters picked without replacement from svsssvsssvvv.
7/44
Two letters picked without replacement from {k: 1, n: 1, t: 1, r: 1, x: 1}. Give prob of picking 1 n and 1 x.
1/10
What is prob of picking 3 h when three letters picked without replacement from {b: 4, t: 6, h: 5}?
2/91
Two letters picked without replacement from {y: 7, k: 7}. What is prob of picking 1 k and 1 y?
7/13
Calculate prob of picking 3 y when three letters picked without replacement from yyrbrrybrbbssryrbhss.
1/285
What is prob of picking 1 b, 1 z, 1 q, and 1 v when four letters picked without replacement from {k: 1, v: 1, q: 1, i: 1, b: 2, z: 1}?
2/35
Two letters picked without replacement from rldliildllrrdrild. What is prob of picking 1 d and 1 i?
3/34
Four letters picked without replacement from zfzfvfvvvfvtfvvfkfkv. What is prob of picking 1 f, 1 t, and 2 z?
7/4845
Two letters picked without replacement from {n: 7}. What is prob of picking 2 n?
1
Calculate prob of picking 1 j and 1 z when two letters picked without replacement from {j: 2, c: 4, z: 2}.
1/7
Four letters picked without replacement from {p: 3, g: 11}. What is prob of picking 4 g?
30/91
Calculate prob of picking 3 n and 1 s when four letters picked without replacement from {e: 5, n: 4, s: 8, q: 1}.
8/765
Two letters picked without replacement from vyoyllototlut. Give prob of picking 1 t and 1 o.
3/26
Two letters picked without replacement from owohhsscosswxhwhs. Give prob of picking 2 h.
3/68
Three letters picked without replacement from erjvxje. Give prob of picking 2 e and 1 r.
1/35
Four letters picked without replacement from cixbl. Give prob of picking 1 c, 1 b, 1 l, and 1 x.
1/5
Calculate prob of picking 2 z when two letters picked without replacement from zzk.
1/3
Four letters picked without replacement from frfcrfkkfrrrurrrffrf. Give prob of picking 4 f.
7/969
Two letters picked without replacement from rryyyyyyrryr. What is prob of picking 1 r and 1 y?
35/66
Two letters picked without replacement from nsqqqjjfffjjfj. Give prob of picking 1 j and 1 s.
5/91
What is prob of picking 2 o and 1 d when three letters picked without replacement from odddddododdddd?
33/364
What is prob of picking 1 k, 1 z, and 1 w when three letters picked without replacement from {a: 2, k: 3, w: 1, z: 1}?
3/35
What is prob of picking 1 k, 1 y, and 1 g when three letters picked without replacement from {o: 5, y: 5, k: 1, g: 5}?
5/112
Calculate prob of picking 3 e when three letters picked without replacement from {t: 1, c: 3, e: 5}.
5/42
Three letters picked without replacement from {u: 9, w: 11}. What is prob of picking 3 w?
11/76
Two letters picked without replacement from dadadddatdat. What is prob of picking 2 t?
1/66
Two letters picked without replacement from kebmbbmeme. Give prob of picking 1 b and 1 m.
1/5
Calculate prob of picking 1 n and 1 y when two letters picked without replacement from {r: 2, i: 1, n: 1, g: 1, d: 1, y: 1}.
1/21
Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqqqqqqqqmqqqqq.
17/20
What is prob of picking 2 s when two letters picked without replacement from {w: 4, s: 1, o: 3}?
0
Three letters picked without replacement from idddadddyyyyiddd. Give prob of picking 1 a and 2 y.
3/280
What is prob of picking 1 r, 1 e, and 1 f when three letters picked without replacement from {r: 5, l: 1, f: 3, t: 1, e: 1, s: 1}?
3/44
Three letters picked without replacement from {p: 8, o: 4, f: 5}. What is prob of picking 3 p?
7/85
Calculate prob of picking 3 l when three letters picked without replacement from lllllggl.
5/14
Three letters picked without replacement from {r: 2, k: 9, w: 3, j: 1, d: 3}. What is prob of picking 2 d and 1 r?
1/136
Two letters picked without replacement from ppppzppzpp. Give prob of picking 2 z.
1/45
What is prob of picking 2 j and 1 s when three letters picked without replacement from {j: 4, n: 2, k: 4, m: 1, s: 2, t: 2}?
12/455
What is prob of picking 2 d when two letters picked without replacement from dddz?
1/2
Two letters picked without replacement from iigiiiii. Give prob of picking 2 i.
3/4
Four letters picked without replacement from {e: 4, a: 1, s: 1, q: 5}. What is prob of picking 2 e and 2 q?
2/11
Two letters picked without replacement from {t: 13, x: 3, n: 1, c: 2}. Give prob of picking 1 x and 1 c.
2/57
What is prob of picking 2 k and 2 m when four letters picked without replacement from kmmmkmmmmm?
2/15
Calculate prob of picking 3 i when three letters picked without replacement from biiiabbibibiaii.
8/65
What is prob of picking 2 t when two letters picked without replacement from {l: 2, t: 2, x: 2}?
1/15
Calculate prob of picking 3 g and 1 c when four letters picked without replacement from ggghchgcgcc.
4/33
Calculate prob of picking 3 p when three letters picked without replacement from iipipiippppii.
10/143
Three letters picked without replacement from ygsrjss. Give prob of picking 1 r, 1 s, and 1 y.
3/35
Calculate prob of picking 1 q, 1 u, and 1 m when three letters picked without replacement from uuimuhuzizzqqz.
2/91
Three letters picked without replacement from weeeewewswseeewwwea. What is prob of picking 2 s and 1 w?
7/969
What is prob of picking 1 s, 2 o, and 1 m when four letters picked without replacement from mmomomsmmmomosmm?
6/91
Two letters picked without replacement from {j: 1, l: 1, u: 1, k: 2, z: 2, i: 2}. What is prob of picking 1 j and 1 z?
1/18
Four letters picked without replacement from {k: 2, a: 2, n: 1, y: 1, q: 1}. Give prob of picking 1 n, 2 a, and 1 q.
1/35
Four letters picked without replacement from {o: 8, k: 2, d: 2, b: 5}. What is prob of picking 2 d, 1 k, and 1 b?
1/238
Calculate prob of picking 3 r when three letters picked without replacement from {w: 1, v: 4, r: 3}.
1/56
Two letters picked without replacement from gejeeggmjhhggg. Give prob of picking 2 e.
3/91
Calculate prob of picking 1 d and 1 p when two letters picked without replacement from dpkpdkkkpppp.
2/11
Four letters picked without replacement from itittddddltitttd. Give prob of picking 3 i and 1 d.
1/364
Two letters picked without | {
"pile_set_name": "DM Mathematics"
} |
ative of z**7/2100 + z**6/900 - z**5/300 - z**4/60 + 5*z**3 + z + 9. Let l(k) be the second derivative of b(k). Factor l(j).
2*(j - 1)*(j + 1)**2/5
Let f = 3441627/239005 + 9/47801. Factor 87/5*o - 3/5*o**3 + f + 12/5*o**2.
-3*(o - 8)*(o + 1)*(o + 3)/5
Let b(f) be the third derivative of f**8/84 + 6*f**7/35 + 13*f**6/30 - 3*f**5/5 - 7*f**4/3 + 980*f**2 - f + 1. Suppose b(o) = 0. Calculate o.
-7, -2, -1, 0, 1
Let k(p) be the first derivative of 8*p**3/21 - 313*p**2/7 + 618*p/7 + 2314. Determine r so that k(r) = 0.
1, 309/4
Solve -4*o**2 + 784/5 - 6/5*o**3 + 616/15*o = 0.
-14/3, 6
Factor 0*z**2 + 2/7*z**3 + 40/7 - 6*z.
2*(z - 4)*(z - 1)*(z + 5)/7
Let x be 10 + 7/1 + -3. Suppose 2 = -g - n, 14*n = -g + 10*n - x. What is l in -g + 2/7*l**2 + 12/7*l = 0?
-7, 1
Let n(u) be the second derivative of u**4/6 - 25*u**3/3 + 84*u**2 - 1229*u. Factor n(s).
2*(s - 21)*(s - 4)
Factor 164736*b + 101672*b**3 - 4*b**4 - 102816*b**3 - 71034*b**2 - 9610*b**2 - 82944.
-4*(b - 1)**2*(b + 144)**2
Let o(t) be the second derivative of t**4/36 + 232*t**3/9 + 463*t**2/6 + 523*t - 3. Factor o(n).
(n + 1)*(n + 463)/3
Let r be 1*(-39 + 34 - (-14)/4) + (-402)/(-36). Factor -31/3*k**2 + 59/3*k - r + 1/3*k**3.
(k - 29)*(k - 1)**2/3
Let 405/2*k**5 + 2221*k**3 + 256 - 256*k - 2583/2*k**4 - 1132*k**2 = 0. What is k?
-2/5, 8/9, 1, 4
Let h(b) = 3*b**3 - 338*b**2 - 1793*b - 2192. Let f(n) = 5*n**3 - 675*n**2 - 3585*n - 4385. Let x(p) = 2*f(p) - 5*h(p). Determine t so that x(t) = 0.
-3, -2, 73
Let h(d) be the second derivative of 2*d**5/25 - 1619*d**4/30 + 2819*d**3/15 + 806*d**2/5 - 2*d + 55. Suppose h(w) = 0. What is w?
-1/4, 2, 403
Let m(f) be the third derivative of f**5/30 + 1259*f**4/6 + 839*f**3 - 4*f**2 + 747. Factor m(z).
2*(z + 1)*(z + 2517)
Let v(h) = 5*h**5 + 34*h**4 - 12*h**3 + 9*h - 9. Let f(o) = 20*o**5 + 135*o**4 - 50*o**3 + 35*o - 35. Let t(y) = 9*f(y) - 35*v(y). Factor t(i).
5*i**3*(i - 1)*(i + 6)
Let i(g) be the first derivative of -2*g**3/3 + 119*g**2 - 2522. Suppose i(f) = 0. Calculate f.
0, 119
Let x(t) be the first derivative of t**5/30 - 27*t**4/8 + 100*t**3/3 - 292*t**2/3 + 3958. Factor x(s).
s*(s - 73)*(s - 4)**2/6
Let q(f) = 30*f**2 - 66*f - 2337. Let t be q(10). What is m in -2/15*m - 2/5*m**2 + 2/5 + 2/15*m**t = 0?
-1, 1, 3
Suppose 0 = -3*i + 4*v, 101*i - 104*i - 4*v + 24 = 0. Suppose -2*j = a, -2*a + 5*a + j = 5. Factor 5 + 17*k**a + 20*k - 4*k**3 + 3 - 3*k**4 - 5*k**2 - k**i.
-4*(k - 2)*(k + 1)**3
Let j = 3293/3 - 1046. Let n(t) be the first derivative of 95/4*t**4 - j*t**3 - 4 - 15/2*t**2 - 3*t**5 + 90*t. Let n(z) = 0. Calculate z.
-2/3, 1, 3
Let r(p) be the second derivative of -p**5/90 - 19*p**4/54 + 26*p**3/27 + 40*p**2/3 + p - 4125. Factor r(o).
-2*(o - 3)*(o + 2)*(o + 20)/9
Solve -4195*s - 18798906 - 13256214 - 21125*s - 5*s**2 = 0 for s.
-2532
Let n be (4 - 1)*155*4/60. Suppose 0 = n*h - 20*h - 44. Factor 6/7*a**3 - 2/7*a**h + 0 + 0*a - 4/7*a**2.
-2*a**2*(a - 2)*(a - 1)/7
Let a(j) be the second derivative of -j**4/4 - 391*j**3 - 458643*j**2/2 + 899*j. Factor a(y).
-3*(y + 391)**2
Let j(d) be the second derivative of 1/30*d**4 + 0*d**2 + 0*d**3 - 47*d + 0. Find b such that j(b) = 0.
0
Let g(v) be the first derivative of v**6/18 - 4*v**5/15 - v**4/2 + 4*v**3/9 + 5*v**2/6 - 159. Factor g(l).
l*(l - 5)*(l - 1)*(l + 1)**2/3
Let b(q) be the second derivative of -q**4/48 + 158*q**3/3 - 49928*q**2 + 277*q + 4. Let b(z) = 0. Calculate z.
632
Let s be -3 - 360/16*(-4)/5. Factor -9*v**2 + s*v**3 - 6*v**5 + 3*v**5 - 41 - 3*v**4 + 41.
-3*v**2*(v - 1)**2*(v + 3)
Let k be 4 + ((-8)/10)/((-42)/(-30) + 46 + -47). Factor 3/5*o**3 + 13/5*o**k - 1 - 11/5*o.
(o - 1)*(o + 5)*(3*o + 1)/5
Let o(b) = -b**3 - 2*b**2 - 2*b. Let m(i) = i**5 + 11*i**4 + 42*i**3 + 75*i**2 + 48*i. Let u(t) = -5*m(t) + 15*o(t). Solve u(c) = 0.
-3, -2, 0
Suppose 10611304463*q + 18026228*q**2 + 11082210552*q + 5*q**4 - 43547031370 + 24485*q**3 + 21925117*q**2 = 0. Calculate q.
-1633, 2
Let d(b) be the third derivative of 7*b**2 - 11/90*b**6 - 2/9*b**4 - 2/105*b**7 + 0*b**3 - 4/15*b**5 + 0 + 0*b. What is z in d(z) = 0?
-2, -1, -2/3, 0
Let x(g) be the third derivative of g**6/30 - 16*g**5/15 - 35*g**4/2 - 132*g**2 - 5*g + 1. Factor x(h).
4*h*(h - 21)*(h + 5)
Let h = 70 + -66. Factor 13*m**3 - 36*m + 2*m**4 - 3*m**2 - h*m**3 - 3*m**2 - 3*m**3 + 2*m**3.
2*m*(m - 2)*(m + 3)**2
Let u(x) = x**2 + 12*x - 83. Let g be u(5). Suppose 0 + 8/7*r + 44/7*r**g = 0. Calculate r.
-2/11, 0
Let z = -73 - -41. Let f = z - -62. Let 32 - 10*k**3 + 24*k**2 + 6*k**3 + f*k + 30*k = 0. Calculate k.
-1, 8
Let b(y) be the third derivative of 0*y**4 - 1/25*y**5 + 0 + 0*y**3 + 0*y + 0*y**6 + 107*y**2 + 1/350*y**7. Let b(j) = 0. What is j?
-2, 0, 2
Suppose 433*n + p = 435*n + 15, 0 = 4*p - 60. Factor 0*f + 0 + 10/11*f**4 - 12/11*f**3 - 2/11*f**5 + n*f**2.
-2*f**3*(f - 3)*(f - 2)/11
Suppose 4 = -13*m + 15*m. Suppose -14*j - 36*j - 56*j**m + 51*j**2 = 0. Calculate j.
-10, 0
Factor 481 - 4*k**4 + 468*k - 8*k**2 - 100*k**3 - 68*k**2 - 769.
-4*(k - 1)**2*(k + 3)*(k + 24)
Let f(l) = -6*l - 17. Let r(q) = q + 3. Let d(n) = 6*f(n) + 34*r(n). Let b(u) = -4*u**2 + 13*u + 3. Let j(s) = -b(s) - d(s). Let j(z) = 0. What is z?
-1/4, 3
Let j(o) = 7*o**3 - 713*o**2 + 2635*o + 3329. Let g(w) = -190*w**3 + 19265*w**2 - 71145*w - 89885. Let k(r) = -2*g(r) - 55*j(r). Factor k(p).
-5*(p - 133)*(p - 5)*(p + 1)
Suppose 6*w**3 - 156*w**2 + 132*w + 24 + 75/2*w**4 - 39/4*w**5 = 0. What is w?
-2, -2/13, 2
Let r(h) = -h**2 + 67*h + 324. Let f(g) be the second derivative of 0 - 17/3*g**3 + 24*g - 81*g**2. Let l(w) = -5*f(w) - 2*r(w). Suppose l(p) = 0. Calculate p.
-9
Let o be (-7374)/(-42) + -27*(-4)/12. Factor -38/7*v**3 + 429/7*v**2 - o*v + 1156/7 + 1/7*v**4.
(v - 17)**2*(v - 2)**2/7
Let o(q) = -62*q**2 + 13*q. Let v(f) = 30*f**2 - 6*f. Let p = 274 - 267. Let c(j) = p*v(j) + 3*o(j). Find a, given that c(a) = 0.
0, 1/8
Let p(t) = 8*t + 144. Let a be p(-13). Let v be 40 - a - ((-32)/(-28))/(-4). Determine i, given that 0 - v*i**2 + 8/7*i = 0.
0, 4
Let q = -531624 - -531626. Factor 0 + 2/9*n**5 + 0*n**q + 0*n + 0*n**3 + 0*n**4.
2*n**5/9
Suppose 0*v = 4*v + 2484. Let f be 4/6*v/(-9). Factor a**2 - a + 7*a - f + 46.
a*(a + 6)
Let t be ((-2)/(-3))/(-22*(-4)/528). Let i = 10 + -7. Factor -3*j**3 + 3*j**2 - j**4 + 0*j**t - 2*j**2 + 2*j**i + j**5.
j**2*(j - 1)**2*(j + 1)
Let t(v) = -4*v**2 + v. Let n(h) = 9*h**3 + 115*h**2 - 79*h. Let x(z) = n(z) + t(z). Let x(k) = 0. Calculate k.
-13, 0, 2/3
Let s(z) be the third derivative of -z**8/18 + 103*z**7/105 + 109*z**6/60 - 17*z**5/45 - 2*z**4/3 + 1585*z**2. Let s(n) = 0. Calculate n.
-1, -1/4, 0, 2/7, 12
Suppose -44*v = -2*x - 49*v + 31, 1 = -3*x + 2*v. Suppose -x*o = c - 6, -10*o + 5*o - c = -12. Factor -2/5*p**2 + 2/5*p - 2/5*p**o + 2/5.
-2*(p - 1)*(p + 1)**2/5
Let r(c) be the first derivative of -c**3 - 9*c**2 + 1560*c - 2612. Factor r(q).
-3*(q - 20)*(q + 26)
Let m(h) = -h**3 + 6*h**2 - 11*h + 37. Let r be m(5). Suppose 6*n**3 + 2*n**3 - 41*n**2 + 111*n - 32*n + 6 - r*n**3 - 45 = 0. Calculate n.
1, 39
Suppose -76*b + 63 + 165 = 0. Find h, given that 0 - 6/11*h**b + 102/11*h**2 + 0*h = 0.
0, 17
Suppose 4*i + 133 = -11. Let o = -31 - i. Determine x, given that -16*x**3 - 21*x**2 + 21*x**4 - 17*x**3 + 17*x**o + 17*x**5 + 6*x - 7*x**5 = 0.
-1, 0, 2/9, 1
Suppose 22*d - 51*d = -8*d. Solve -5/7*g - 1/7*g**2 + d = 0 for g.
-5, 0
Find x such that 276 + 46 - 51 + 1264*x**2 - 44*x**3 + 129 - 4480*x - 380*x**2 = 0.
1/11, 10
Let m be (3*8/(-16))/((-180)/24). Let m*l**2 - 8/5 + 7/5*l = 0. What is l?
-8, 1
Factor -182/5*b + 0 + 55*b**2 + 1/5*b**4 - 94/5*b**3.
b*(b - 91)*(b - 2)*(b - 1)/5
Let h(n) = 4*n**5 + n**3 - n**2 + n - 1. Let t(l) = -192*l**5 - 180*l**4 + 1254*l**3 - 86*l**2 - 186*l - 26. Let d(c) = -2*h(c) + t(c). What is i in d(i) = 0?
-3, -1/5, 1/2, 2
Suppose 2355 = 5*h - 5*y, 28*h + 4*y + 468 = 29*h. Let w = h - 3302/7. Factor 0*u**2 + 1/7 - 1/7*u**4 + w*u - 2/7*u**3.
-(u - 1)*(u + 1)**3/7
Let r(l) be the third derivative of -36*l + 0 + 13/160*l**6 + 0*l**3 - 1/24*l**7 + 2*l**2 - 1/24*l**4 + 0*l**5. Determine w so that r(w) = 0.
-2/7, 0, 2/5, 1
Let v = -41445 + 41447. Determine j so that 27/7*j - 33/7*j**v + 6/7 = 0.
-2/11, 1
Let k(h) = -h**2 + 2*h + 50. Let d be k(-6). Factor 13 - 20*n - 2*n**d - 5 + 18*n**2 + 0 - | {
"pile_set_name": "DM Mathematics"
} |
- 3. Let j(t) = -3*t + 2. Let n(d) = 3*j(d) + 2*v(d). Let y(k) = k**2 + 2*k + 1. Let b be y(-2). Give n(b).
-1
Let i(o) = 4*o + 5. Let q(k) = -5*k - 4. Let v(h) = -4*i(h) - 3*q(h). Give v(-8).
0
Suppose 2 = 3*p - 4. Suppose -3*f = -0*c - 3*c, -p*c = -f + 2. Let v be f*((-7)/(-2) - 1). Let z(t) = -t - 6. Calculate z(v).
-1
Let y(r) be the first derivative of 7*r**3/3 + r**2/2 + 3. Determine y(1).
8
Let p(w) be the third derivative of -3*w**5/20 - w**4/12 - w**3/6 + w**2. Let u(f) = f**3 - 2*f**2 - 4*f + 2. Let a be u(3). Calculate p(a).
-8
Suppose 2*f + 2*j - 2 = 0, 5*f + 2*j - 2 = 18. Suppose 2*x + x = f. Let v be x/(-1) + (6 - 2). Let m(g) = -2*g**3 + 3*g**2 - 1. What is m(v)?
-5
Let j(h) be the third derivative of h**6/120 + h**5/60 - 2*h**3/3 - h**2. Let k(f) = -f**2 - 6*f. Let w be k(-6). Suppose w = 5*u - 6*u. Calculate j(u).
-4
Suppose 3*q + 13 = 22. Let l(i) = -i - i**2 - 14 + i - q*i + 10. What is l(-4)?
-8
Let d(w) = -13 + 0*w + 7 + 7 + 2*w. Calculate d(6).
13
Let z be -2*1/2*3. Let w be (-2)/(-6) + (-5)/z. Let s(d) = -1 + d**2 + w + 0*d**2. Determine s(0).
1
Let t(k) = k**2 - 3*k - 1. Suppose 0 = -5*u - 3*j + 1 + 7, 0 = -4*u + j + 20. Suppose u*z = 6*z - 6. Suppose -2*d - 11 = -z*p, 2 - 6 = 4*d. Calculate t(p).
-1
Let o = 0 + -2. Let s(i) be the first derivative of i**5/20 + i**4/6 - i**3/6 - i**2/2 + 3*i - 4. Let c(w) be the first derivative of s(w). Determine c(o).
1
Let i(s) = s. Suppose 0 = r - 0 - 1. Let h(n) = -5*n + 3. Let y(q) = r*h(q) + 6*i(q). Determine y(-6).
-3
Let i(d) = d**2 + 4*d + 1. Let p be i(-4). Let t(z) = 6*z**2 + z. Calculate t(p).
7
Let n(i) = i**3 - 3*i**2 - 3. Suppose -5*p + 0*p + 15 = 0. Give n(p).
-3
Let t(l) be the third derivative of -l**6/720 - l**4/12 - 4*l**2. Let c(f) be the second derivative of t(f). Give c(-4).
4
Let v(i) = -i**3 + 5*i**2 - 2. Let k = 0 + -1. Let n be -4 - (4 + (-1 - 1)). Let y = k - n. Determine v(y).
-2
Let b be 1 + 4*(-3)/(-6). Let v(m) = 1 + 1 - 5*m**2 - m - m**b + 2*m**2. Calculate v(-2).
0
Let c be -2 + 4 - (-1 + 3). Let t(d) = d**2 - d - 6. What is t(c)?
-6
Let n(i) = i**3 - 4*i**2 - 3. Let m = -9 - -13. Let x be n(m). Let j(f) = -2*f. Give j(x).
6
Let c be ((-20)/4)/5*(3 - 0). Let k(q) = -q**3 - q**2 + 2*q - 4. Determine k(c).
8
Suppose -1 + 5 = r. Suppose r*s - 4*n = -20, -1 = 5*s + 3*n - 2*n. Let c(d) = 7*d**2 + d. Determine c(s).
6
Let v(n) be the third derivative of -n**4/24 - 7*n**3/6 + 2*n**2. Let l be v(-6). Let w(b) = -b + 1. Let k(x) = -1. Let u(r) = l*w(r) + k(r). Determine u(-5).
-7
Let m(p) = p. Let y(v) = v**2 - 6*v + 5. Let h be y(6). Suppose 3*k + 3*d = -15, -h*k - 16 - 1 = d. Calculate m(k).
-3
Let r(c) = 4*c**2. Let z(g) = -g**2 + 12*g + 12. Let h = -6 - -19. Let a be z(h). Calculate r(a).
4
Let a(t) = t**3 - 5*t**2 - 6*t - 5. Let u(g) = -g**3 - 9*g**2 - 8*g + 6. Let y be u(-8). Determine a(y).
-5
Let z = -6 + 7. Let b(h) = 4*h**3 + z + 5*h**2 - 2*h**2 - 2*h - 3*h**2 + h**2. Suppose -5*a = 5*d + 20, 2 - 20 = 2*d + 4*a. Calculate b(d).
4
Let s be -1 + 4 + (1 - (-282)/(-72)). Let b(g) be the second derivative of s*g**4 + 5/6*g**3 + 0 - 2*g**2 - 2*g. Calculate b(-6).
2
Let x(t) = 3*t**3 - 4*t**2 + 11. Let f(s) be the first derivative of -s**4/2 + 2*s**3/3 - 6*s - 2. Let u(q) = -5*f(q) - 3*x(q). Give u(-3).
-12
Let w = 9 - 17. Let n be 12/w*4/6. Let c(t) be the third derivative of t**6/40 - t**3/6 - t**2. What is c(n)?
-4
Let f(i) be the first derivative of -i**4/4 - 5*i**3/3 + 3*i**2 - 5*i - 6. Determine f(-6).
-5
Let j(w) = -6*w + 3. Let v(k) = -17*k + 8. Let a(t) = -11*j(t) + 4*v(t). Let n = -4 - -6. Let i be 5/(5/n) + -1. Calculate a(i).
-3
Let f(o) = o**3 + 9*o**2 + 9*o + 11. Let t be f(-8). Suppose t*h + 8 = 7*h. Let g be 1/h*(1 - 7). Let n(c) = c**3 + 3*c**2 - 2*c. Determine n(g).
6
Let p(f) = -f. Let c = 3 - 4. Let d be p(c). Let o(h) = 2*h + 6 + 0 + d. Determine o(-5).
-3
Let p(h) = -21 - h + 9 + 5 + 8. Suppose 0 = 5*c - 43 + 8. Give p(c).
-6
Let u(z) be the first derivative of 1/6*z**3 + 0*z + 5/24*z**4 + 2 + 1/2*z**2. Let o(x) be the second derivative of u(x). Calculate o(1).
6
Let x(t) = -6*t - 4. Let n(v) = -2 - 5*v + 0 + 0 + 2*v. Let f(a) = -11*n(a) + 6*x(a). Calculate f(2).
-8
Let f(z) be the first derivative of -4*z**2 - 19. What is f(1)?
-8
Let k(w) = w + 2. Let m(x) = x**3 + 5*x**2 - 7*x - 6. Let a be m(-6). Let b be 6/(2 + a) + -8. Calculate k(b).
-3
Let w(x) = x**3 - x**2 + x. Let m(r) = 3*r**3 + 2*r**2 + 11*r - 4. Let v(i) = -m(i) + 4*w(i). Suppose 3*z = -0*z - 5*k + 11, -3*z + 4*k + 29 = 0. What is v(z)?
4
Let t(c) be the first derivative of c**3/3 + 4*c**2 - 3*c + 9. What is t(-6)?
-15
Let t(p) be the first derivative of p + 1/4*p**4 - 5/2*p**2 + 1 - p**3. Give t(4).
-3
Let d(g) = -g**2 + 9*g - 5. Let o(m) = -7*m**3 - 2*m**2 - 3*m - 2. Let f be o(-1). Calculate d(f).
13
Let b(q) = q**2 - 6*q - 6. Let s = 16 - 5. Suppose -19 - 6 = -5*v. Suppose -3*r - v*w = 2, -2*w - 21 = -4*r + s. Calculate b(r).
-6
Let h(a) be the second derivative of 2*a**3 - a**2/2 + a. Let o = -10 - -13. Suppose -o*b - 2 = -5*b. Give h(b).
11
Let t(y) = 2 + y - 9 - 4. Let h be 7/1 - (2 - 1). What is t(h)?
-5
Let u = 16 - 19. Let h(x) = x. Give h(u).
-3
Let t(c) = -3*c + 3. Let r = -10 + 15. What is t(r)?
-12
Suppose -3*t = -5*t + 2. Suppose 0*r - t = -r. Let o(w) = -w**3 + 2*w**2 + w - 1. What is o(r)?
1
Let k be (-26)/6 - (-2)/(-3). Let z(i) = -2*i - 7. Let w(j) = 3*j + 9. Let r(l) = -l - 1. Let f(v) = -r(v) - w(v). Let p(t) = -3*f(t) + 4*z(t). Give p(k).
6
Suppose -f + 12 = 4*q + 3, 0 = 4*q - 8. Suppose -4*u + 3*u + f = 0. Let x(w) = -3 + 2*w + u - 3*w**2 + 3. What is x(2)?
-7
Let x(h) = 2*h + 5. Suppose 5*t + a + 13 = 0, -5*t - 5*a = 16 + 9. Let r(o) = o**2 - 4*o. Let j be r(3). Let l = j + t. What is x(l)?
-5
Let n(g) be the second derivative of g**5/20 - 7*g**4/12 + 4*g**3/3 - 5*g**2/2 - 2*g. Give n(6).
7
Let a = -10 + 16. Let j(u) = 5*u**2 + 10*u + 8. Let o(p) = 11*p**2 + 21*p + 16. Let m(s) = -13*j(s) + 6*o(s). Calculate m(a).
4
Let h(c) = 7*c + 5. Let u(s) = -6*s - 5. Let p(i) = -5*h(i) - 6*u(i). Determine p(-4).
1
Let p(c) be the third derivative of -3/2*c**3 + 9*c**2 + 1/60*c**5 + 0 + 0*c + 0*c**4. Calculate p(0).
-9
Let y be -10*(2 - (-10)/(-4)). Suppose 10*j - y*j + q - 7 = 0, -2*j + 3*q = 4. Let i(o) be the first derivative of -o**2/2 + o - 1. Determine i(j).
0
Let i be 6/(-4)*(-16)/12. Let j(z) = 4*z - 3*z**i - 5 + 0*z + 4*z**2. Give j(-4).
-5
Let h(c) = 7*c - 3. Let a(p) = 6*p - 3. Let m(y) = -5*a(y) + 4*h(y). Let n be (-1)/(-1 + 6/9). Let d = n + 0. Calculate m(d).
-3
Let w(r) be the third derivative of r**4/24 + r**3 + 6*r**2. Determine w(-5).
1
Let w(d) be the second derivative of -d**4/12 - d**3/3 - 3*d**2/2 + 2*d. Determine w(-4).
-11
Let i(o) = -o**2 + o + 1. Let r be i(3). Let b = r + 5. Let u(g) be the first derivative of g**4/4 - g**3/3 - g**2/2 - 2*g + 2. Calculate u(b).
-2
Suppose -16 - 10 = -f. Let z = f - 22. Let s(g) = -g**3 + 3*g**2 + 3*g - 1. Give s(z).
-5
Let j(z) = z - 1. Let c(m) = m + 9. Let i be c(-6). What is j(i)?
2
Let o(b) = -17*b + 2. Let n(c) = -6*c + 1. Let g(p) = -11*n(p) + 4*o(p). Calculate g(-7).
11
Suppose -3*s - 14 = h, -5*s - 12 = 2*h + 13. Suppose 0*u - u = -7. Let g(z) = -9*z + 2*z**2 + u*z - 3*z**2 - 4. Give g(s).
-7
Suppose 8 = -3*d + 2. Let z be (-2)/((-5)/((-15)/(-6))). Let o be (d*2)/2*z. Let t(w) = w**3 + w**2. Calculate t(o).
-4
Let k(d) = d**2 - 3*d - 1441 + 1441. What is k(3)?
0
Let t = -14 - -19. Let q(g) = 3*g**2 + 17*g - 12. Let u(j) be the second derivative of -j**4/6 - 3*j**3/2 + 3*j**2 - j. Let o(m) = t*u(m) + 3*q(m). Give o(5).
-1
Let s(b) be the third derivative of b**6/120 - b**5/10 + b**4/6 - b**3/3 + 18*b**2. Calculate s(5).
-7
Suppose 0 = -5*z + z - 20. Let h(t) = t**3 + 4*t**2 - 5*t + 2. Let q be h(z). Let c(v) = -v**2. Calculate c(q).
-4
Let i(c) be the first derivative of -3*c**2/2 + c - 4. Let w be 3*((-1)/3)/1. Let s be w/3 - 7/(-3). What is i(s)?
-5
Let o(q) = -9*q**2 + 19*q - 15. Let n(w) = 5*w**2 - 10*w + 8. Suppose 0 = d + 4, 5*d - 18 = 5*z - 8. Let s(t) = z*o(t) - 11*n(t). Calculate s(-4).
2
Let q(o) = 7*o. Suppose -5*g + 0*g + 15 = 0. Let x = g + -4. Calculate q(x).
-7
Let x(g) = 8*g - 2*g + 3 - 2. Suppose -j + 10 = 4*j. Suppose -j*h + 4*h - 8 = 0, c = -5*h + 21. What is x(c)?
7
Su | {
"pile_set_name": "DM Mathematics"
} |
Is 55 greater than 55?
False
Are -298/3 and -99 unequal?
True
Is -6.1 at least -38?
True
Is -14/15 greater than 0?
False
Is -4 at most as big as -6?
False
Which is smaller: -6 or 0.8?
-6
Is 7975/3 at least 2659?
False
Is -2 <= 25?
True
Which is bigger: -0.082 or 0.2?
0.2
Which is bigger: 603 or 605?
605
Are 138 and 140 unequal?
True
Which is bigger: -1 or -3/101?
-3/101
Is -8235 less than or equal to -1/4?
True
Are 0 and -2/49 equal?
False
Is 4.6 less than or equal to 44?
True
Is 389 at least 392?
False
Which is greater: 1/6489 or 1?
1
Do 799/21 and 39 have different values?
True
Is 210 >= 210?
True
Which is bigger: 9 or 4?
9
Which is greater: 14 or 16?
16
Is 0 > -1/779?
True
Is 0 greater than or equal to 0.3?
False
Which is greater: -5915/11 or -538?
-5915/11
Which is bigger: 17 or 129/7?
129/7
Does 32769 = 32769?
True
Which is bigger: 0.281 or -5?
0.281
Which is greater: 19 or -3/11?
19
Which is greater: -4/11 or 0.038?
0.038
Which is greater: 2/15 or 35.9?
35.9
Which is greater: 10.7 or 44?
44
Are 60/7 and 10 unequal?
True
Which is smaller: 128 or 1396/11?
1396/11
Do -2 and -12.813 have the same value?
False
Which is greater: 534 or 533?
534
Is 596/3 != 200?
True
Which is bigger: -891/4 or -224?
-891/4
Is 6 equal to 5?
False
Is 7 at least 58?
False
Which is smaller: 38 or 383/10?
38
Is 585 at most 586?
True
Is 813/5 equal to 163?
False
Is -535 equal to -1069/2?
False
Is 1/2527 less than 0?
False
Are 1 and 3/704 unequal?
True
Which is smaller: -2471 or -2470?
-2471
Is -1 > -10/5429?
False
Is -18/49 equal to 1?
False
Which is smaller: -2/8419 or -1?
-1
Is 2/35 greater than 6.64?
False
Which is smaller: 882/67 or 13?
13
Is 1142 equal to 1142?
True
Which is bigger: -10 or -255/26?
-255/26
Are 0 and 0.27328 nonequal?
True
Which is smaller: -1 or -18/37?
-1
Is -0.859 != -2?
True
Which is smaller: 2639/12 or 219?
219
Is -76 less than -72?
True
Which is smaller: 74/227 or 0?
0
Is 2/2299 greater than 0?
True
Is -553 <= -552?
True
Is -104 > -104?
False
Is -63 bigger than 0?
False
Is 3/4 smaller than -127?
False
Is 84 equal to 59?
False
Which is greater: 2 or 330?
330
Which is bigger: 0 or 3321?
3321
Which is greater: -4 or -31/10?
-31/10
Is 317/3 greater than 106?
False
Which is smaller: 0.1 or -0.016316?
-0.016316
Which is greater: 11 or -1?
11
Does 295 = 296?
False
Is 31 > -549?
True
Which is smaller: 395 or 389?
389
Is 0 less than or equal to 9/616?
True
Is 0.02 smaller than 0.9?
True
Is 277 bigger than 310?
False
Is 506 smaller than 0.2?
False
Which is bigger: -2644/3 or -881?
-881
Which is smaller: -477/5 or -96?
-96
Which is smaller: 75 or 77?
75
Which is bigger: 0 or 1188?
1188
Is -6002 bigger than -6002?
False
Which is smaller: 1/99 or -1?
-1
Is 1 at least 19/189?
True
Which is smaller: -1 or -17/39?
-1
Is -1585 greater than -1584?
False
Is 2 at most as big as -5/199?
False
Are 4/5 and -2/35 equal?
False
Are 1/172 and -1 unequal?
True
Which is smaller: 0.165 or 0.1?
0.1
Do -100 and -100 have different values?
False
Is -2 greater than or equal to -6/37?
False
Which is smaller: 161 or 162?
161
Is 1 <= -1/988?
False
Is -87/298 greater than 0?
False
Does -16.9 = 1/4?
False
Which is smaller: 1 or 13/437?
13/437
Which is bigger: 2/33 or -229?
2/33
Is 10/14747 at least as big as 1?
False
Which is smaller: -7/234 or -1?
-1
Which is smaller: -30 or -26?
-30
Is -1 bigger than 2/381?
False
Which is bigger: 740/21 or 36?
36
Which is greater: -1072/29 or -38?
-1072/29
Which is bigger: 128 or 126?
128
Is 1 smaller than -0.49?
False
Is 0 at least 2387/6?
False
Which is smaller: 0.2 or 209.1?
0.2
Do -20166 and -20164 have different values?
True
Which is smaller: -26 or 15?
-26
Which is smaller: -2.6 or -13?
-13
Which is smaller: -9637 or -9635?
-9637
Which is bigger: 6 or 0.25?
6
Is 1177 != 1177?
False
Is -1 equal to -4/213?
False
Which is smaller: -19 or -756/37?
-756/37
Is 12 at most as big as -3.4?
False
Is 6/65 smaller than 2/7?
True
Is -4/185 != -1?
True
Which is greater: -1075 or -0.1?
-0.1
Is 0.04656 at least as big as -1?
True
Which is greater: -11/3130 or 0?
0
Is 24.9 at least 1/2?
True
Which is smaller: 0 or -9/272?
-9/272
Which is bigger: -607 or -605?
-605
Which is smaller: 1858 or 1860?
1858
Is 6/659 >= 1?
False
Is -1456 at least -7287/5?
True
Which is smaller: 2.5 or 48?
2.5
Is -1 at least as big as 6/259?
False
Which is bigger: -2/11 or -1929?
-2/11
Which is smaller: 9529 or 9530?
9529
Does -3649 = -7297/2?
False
Are -4/405 and 0 equal?
False
Which is smaller: 36/17 or 1?
1
Is 1 at least as big as -2/1893?
True
Does -135/29 = -5?
False
Which is bigger: 109 or 113?
113
Which is smaller: 85 or 88?
85
Is -21 < -17?
True
Is -3033 less than or equal to 0.4?
True
Is -0.9 < -32/21?
False
Which is greater: -183 or -1455/8?
-1455/8
Which is smaller: 306 or 307?
306
Which is smaller: 49 or 8?
8
Do -77/142 and -2 have the same value?
False
Do -16/7 and -13 have the same value?
False
Which is greater: -1 or -11/36?
-11/36
Which is greater: -4 or -191/2?
-4
Which is bigger: 3/37 or 2.4?
2.4
Is 6 != 645?
True
Is -6 equal to -38?
False
Which is smaller: 610 or 609?
609
Which is greater: 4033 or 4032?
4033
Is 0.1 bigger than -7?
True
Which is smaller: 0 or 3?
0
Which is bigger: -0.1 or -0.1725?
-0.1
Which is smaller: -1 or 1/318?
-1
Which is greater: 54 or 12?
54
Is 1/23797 at least as big as 1?
False
Is 1020/13 greater than 77?
True
Is -2 smaller than 568?
True
Is -177 smaller than -177?
False
Which is greater: 37 or 53.1?
53.1
Is 1 > 3/424?
True
Which is smaller: -2/4521 or -1?
-1
Which is smaller: -39 or -43?
-43
Is -18759 > -18759?
False
Which is smaller: 479 or 480?
479
Which is greater: -111/7 or -15?
-15
Which is smaller: 53 or 2004/37?
53
Is 53 bigger than 56?
False
Which is bigger: 21 or 3/5?
21
Is -35/89 <= 0?
True
Is -5213 greater than or equal to -5213?
True
Which is greater: -446 or -1781/4?
-1781/4
Which is greater: 7/32 or 1?
1
Are 1 and -5/7583 equal?
False
Is 0.2 less than 2552?
True
Which is bigger: 288 or 285?
288
Is -239 at least -477/2?
False
Which is greater: 47/29 or 1?
47/29
Is 380 less than or equal to 379?
False
Is 25 <= 41?
True
Do -1 and 10.7 have the same value?
False
Do 2/3 and 0.47 have the same value?
False
Is -6766 at most as big as -6767?
False
Is 4/11 greater than 9?
False
Which is smaller: 46 or 40?
40
Which is bigger: -281/5 or -55?
-55
Which is smaller: -7192 or -7191?
-7192
Which is smaller: -7 or -13.8?
-13.8
Which is smaller: 123 or -22?
-22
Which is greater: -9 or 2?
2
Which is smaller: -397 or -395?
-397
Is -244 != -310?
True
Which is smaller: 1215 or 1213?
1213
Which is smaller: -124 or -126?
-126
Is -123 greater than or equal to 2?
False
Is -469 smaller than -472?
False
Is 344 at most 343?
False
Which is smaller: 2/7 or -20/21?
-20/21
Which is smaller: -21/37 or -1?
-1
Which is smaller: 4 or 14?
4
Is -82 != -82?
False
Which is smaller: 106 or 105?
105
Which is bigger: 2 or -566?
2
Which is bigger: -605 or -1811/3?
-1811/3
Are -1 and 30/61 non-equal?
True
Is -17 less than or equal to -25?
False
Which is smaller: -0.017 or -7?
-7
Is 1/11 at least as big as 19?
False
Which is bigger: 126 or 892/7?
892/7
Are 70 and 80 equal?
False
Which is smaller: 28 or 21?
21
Which is smaller: 7064 or 7068?
7064
Is -2/27215 != 0?
True
Which is smaller: -618 or -617?
-618
Which is bigger: -2855 or -1?
-1
Which is greater: -1/842 or 1?
1
Which is smaller: 0 or 2/70941?
0
Which is greater: -6 or -22?
-6
Which is greater: 3/670 or -1?
3/670
Is 2 less than 61/25?
True
Which is bigger: 0 or 1/1802?
1/1802
Which is bigger: 251 or 1252/5?
251
Is -7/4 smaller than 79?
True
Which is bigger: 36 or 44?
44
Is -208 less than -208?
False
Does 17 = -248?
False
Are 730 and 0 equal?
False
Which is bigger: 186 or 1499/8?
1499/8
Do -1.5 and 48 have different values?
True
Which is smaller: -9 or 2?
-9
Which is smaller: -8419 or -8418?
-8419
Which is greater: -53/2 or -28?
-53/2
Is 1/5 greater than 0?
True
Is -2/13 less than -57?
False
Which is bigger: 1/7741 or 1?
1
Which is smaller: -68 or -401/6?
-68
Which is smaller: -3 or 3543?
-3
Which is bigger: 0 or 2/71?
2/71
Which is smaller: 2/797 or 1?
2/797
Are -661 and -665 unequal?
True
Which is smaller: 15 or 50?
15
Which is smaller: -70 or 8?
-70
Is -10/343 less than or equal to 1?
True
Which is smal | {
"pile_set_name": "DM Mathematics"
} |
*d**2 + 2*d**w + 2 + 3*d**3 = 0.
-1, 1/4, 2/3
Let v(z) be the second derivative of -z**7/126 + z**6/90 + z**5/20 - 5*z**4/36 + z**3/9 - 9*z - 2. Factor v(w).
-w*(w - 1)**3*(w + 2)/3
Let w = 44 - 50. Let z(k) = k + 10. Let d be z(w). Determine s so that 0 + 2/5*s**2 + 1/5*s**5 + 0*s**3 - 1/5*s - 2/5*s**d = 0.
-1, 0, 1
Let y(p) be the third derivative of p**7/1155 - p**6/165 + p**5/110 - 54*p**2. Factor y(j).
2*j**2*(j - 3)*(j - 1)/11
Let q be (-80)/100 - 148/(-10). Suppose q*x - 9*x = 0. Factor 9*t**2 + 4*t**3 + 6*t - t**3 + x*t**3 + 0*t**2.
3*t*(t + 1)*(t + 2)
Let g(l) be the third derivative of 2/15*l**5 + 0*l**3 + l**2 + 0 + 0*l + 1/168*l**8 + 2/15*l**6 + 1/21*l**7 + 0*l**4. Find b, given that g(b) = 0.
-2, -1, 0
Let h(j) be the third derivative of -j**8/1512 + j**7/189 - j**6/60 + 7*j**5/270 - j**4/54 - 36*j**2 + 3. Let h(u) = 0. Calculate u.
0, 1, 2
Let a(n) = -n**2 + 7*n - 6. Let r be a(5). Factor -9*j**5 + 29*j**4 + 15*j**3 + 12*j**5 + 6*j**2 - 17*j**r.
3*j**2*(j + 1)**2*(j + 2)
Let a(p) be the third derivative of p**6/24 - p**5/12 - 5*p**4/24 + 5*p**3/6 + 40*p**2. Find m such that a(m) = 0.
-1, 1
Let z be (35/15)/7*-3. Let l(i) = i**3 + i**2 + 1. Let u(s) = 3*s**3 - 3*s**2 + 8*s - 2. Let w(r) = z*u(r) + 2*l(r). Determine v so that w(v) = 0.
1, 2
Let o(p) be the third derivative of -p**8/1680 - p**7/630 - p**4/3 - 11*p**2. Let y(t) be the second derivative of o(t). Factor y(n).
-4*n**2*(n + 1)
Let d be 20/30 - (-38)/6. Determine h so that -31*h + 4*h**2 + 27*h**3 + 56*h - 29*h + d*h**5 + 26*h**4 = 0.
-2, -1, 0, 2/7
Let v be (-92)/(-276)*6/4. Solve 0 + 0*t**2 + 1/2*t**3 - v*t = 0.
-1, 0, 1
Let s(q) = -2*q**4 - 7*q**3 + q + 4. Let f(u) = -u**3 + 4 - u**4 - 20 + 9 + 8. Let j(i) = -4*f(i) + s(i). Let j(b) = 0. Calculate b.
-1/2, 0, 1
Let s(f) = -6*f**2 - 50*f - 14. Let n be s(-8). Factor 25/2*x**n + 55*x + 20.
5*(x + 4)*(5*x + 2)/2
Let r(d) be the first derivative of -1/3*d**2 + 2/9*d**3 + 0*d - 6. Find x such that r(x) = 0.
0, 1
Let y(j) = -j**2 + 44*j - 619. Let q(k) = -2*k**2 + 87*k - 1237. Let t(s) = -6*q(s) + 13*y(s). Factor t(x).
-(x - 25)**2
Let c be (517/22)/((-2)/(-4)). Suppose -4*w = -c + 11. Factor w - 1 - 3*f**2 - f**2 + 2*f**2.
-2*(f - 2)*(f + 2)
Factor 0 - 22/7*i**2 + 24/7*i**3 - 2/7*i**4 + 0*i.
-2*i**2*(i - 11)*(i - 1)/7
Determine o, given that -13*o + 9*o + 4*o**5 + 6*o**4 + 11*o**4 - 17*o**2 = 0.
-4, -1, -1/4, 0, 1
Let c = -96 + 136. Factor -c - 3*f**2 - 23*f - 7*f + 4*f**2 - 6*f**2.
-5*(f + 2)*(f + 4)
Let h(w) = -w**3 + 10*w**2 + w - 1. Let y be h(10). Factor -5 + 3*m + m**2 - 3 - 5*m**2 + y*m.
-4*(m - 2)*(m - 1)
Let l(t) be the third derivative of -t**8/84 + 4*t**7/105 + 2*t**6/15 - 8*t**5/15 + 16*t**2 + 6*t. Let l(k) = 0. What is k?
-2, 0, 2
Suppose 5*l + 1635 = 620. Let r = 1018/5 + l. Factor -3/5*c**4 + 3/5*c**2 - 3/5*c + r*c**3 + 0.
-3*c*(c - 1)**2*(c + 1)/5
Let b(l) = -l + 1. Let o(w) = w**2 + 4*w - 4. Let s(u) = -4*b(u) - o(u). Let v(p) = 5*p**3 + 8*p**2 - 40*p - 60. Let q(z) = 3*s(z) + v(z). Factor q(y).
5*(y - 3)*(y + 2)**2
Let o be 4/2 - (2 - (-2 + -5)). Let d be (4/o)/((-18)/21). Factor -1/3*h**4 + 0*h - d*h**3 + 0 - 1/3*h**2.
-h**2*(h + 1)**2/3
Let s = 29275 + -146373/5. Factor -6/5*u**2 + 4/5 + 2/5*u - 2/5*u**3 + s*u**4.
2*(u - 2)*(u - 1)*(u + 1)**2/5
Let l = 1086 - 1084. Factor 0 + 3/5*q**l + 3/5*q.
3*q*(q + 1)/5
Let y = -21931 + 21935. What is c in 20/3*c + 8/3 - 32/3*c**3 + 4*c**5 + 16/3*c**y - 8*c**2 = 0?
-2, -1, -1/3, 1
Let n(p) = p**2 + 240*p - 14167. Let l(u) = 6*u**2 + 1201*u - 70838. Let v(y) = 2*l(y) - 11*n(y). Factor v(c).
(c - 119)**2
Let t(h) be the first derivative of h**5/30 + 5*h**4/9 + 11*h**3/3 + 12*h**2 + 28*h - 14. Let b(y) be the first derivative of t(y). Factor b(d).
2*(d + 3)**2*(d + 4)/3
Let q(j) = 7*j**4 - 2*j**3 - 3*j**2 + 10*j + 10. Let l(h) = 15*h**4 - 4*h**3 - 6*h**2 + 21*h + 21. Let s(n) = 6*l(n) - 13*q(n). Factor s(d).
-(d - 2)**2*(d + 1)**2
Suppose -2*y - 4*w = -36, -y + 2*y = w + 15. Suppose y = -3*d - 4*h, -4*h + 5 = d + 21. Suppose 3*b - b + d*b**2 - 2*b**2 = 0. What is b?
0, 1
Find w such that 33/4*w**3 + 0 + 3/4*w**5 - 9/2*w**4 - 9/2*w**2 + 0*w = 0.
0, 1, 2, 3
Determine l, given that 40/7 + 2*l**2 + 1/7*l**3 + 44/7*l = 0.
-10, -2
Let b be 10/9*(-20 + (-2544)/(-120)). Let b*k**2 + 4/3 + 8/3*k = 0. What is k?
-1
Let n be ((-375)/25)/(-105)*(4 + 0). Factor -1/7 + n*k**2 + 3/7*k.
(k + 1)*(4*k - 1)/7
Let c(m) be the second derivative of -m**4/6 - 19*m**3 - m - 56. Solve c(l) = 0 for l.
-57, 0
Let d = -1375 + 1378. Let l = 2 + -2. Factor 2/7*m**2 + l - 12/7*m**d + 2/7*m.
-2*m*(2*m - 1)*(3*m + 1)/7
Solve 24*z**4 + z**5 - 9*z**2 + 0*z**3 - 4*z**3 + 2*z**2 + 3*z**5 - 17*z**2 = 0.
-6, -1, 0, 1
Let c(o) = -10*o**2 + 2*o - 9. Let w(h) = -16*h**2 + 4*h - 19. Let p(m) = -5*c(m) + 3*w(m). Factor p(g).
2*(g - 2)*(g + 3)
Let p(b) = b**4 + b**3 + 4*b**2 - 6*b + 6. Let z(k) = 5*k**2 - 5*k + 5. Let f(x) = 5*p(x) - 6*z(x). Factor f(w).
5*w**2*(w - 1)*(w + 2)
Let i(h) be the first derivative of h**3/9 + 29*h**2/6 - 239. Factor i(j).
j*(j + 29)/3
Let c = 21589/10 - 2157. Let w = c + -7/5. Find u, given that 6 - 22*u - w*u**2 + 25/2*u**4 + 40*u**3 = 0.
-3, -1, 2/5
Let j(d) be the third derivative of 0*d + 0*d**3 + 1 - 2*d**2 - 9/28*d**8 + 7/10*d**6 + 2/3*d**4 + 4/3*d**5 - 12/35*d**7. Solve j(o) = 0.
-2/3, -1/3, 0, 1
Let h = -87 - -89. Suppose -v + 0 = -2. Find m, given that -7*m + 6*m**h + 1 + 1 + v*m**3 + 13*m = 0.
-1
Let n(m) be the third derivative of 0*m - 15*m**2 + 0*m**3 + 0 - 1/48*m**5 + 1/48*m**4. Factor n(u).
-u*(5*u - 2)/4
Let f(u) = 1 - 1 - 1. Suppose a = 2*i - 1 - 1, 1 = 3*i - a. Let z(l) = -2*l**3 + 2*l**2 + 2*l - 6. Let n(s) = i*z(s) + 4*f(s). Let n(y) = 0. Calculate y.
-1, 1
Find z such that 64/13 + 2/13*z**2 + 24/13*z = 0.
-8, -4
Factor 30732*b + 15*b**2 + 15*b**4 - 30732*b - 78*b**3.
3*b**2*(b - 5)*(5*b - 1)
Let d(v) be the second derivative of -169*v**6/30 - 663*v**5/10 - 2497*v**4/12 + 68*v**3 - 8*v**2 + 5*v - 4. Solve d(s) = 0 for s.
-4, 1/13
Let c be 10/(-7)*2345/134*(-12)/75. Factor 0 - 1/5*z**3 + 0*z + 1/5*z**5 + 1/5*z**2 - 1/5*z**c.
z**2*(z - 1)**2*(z + 1)/5
Suppose 2*q - 4*q - 324 = 0. Let b be 36/q + (7/(-9) - -1). Factor 2/5*o**4 - 2/5*o**2 + 0 + 0*o + b*o**3.
2*o**2*(o - 1)*(o + 1)/5
Let h(f) be the second derivative of f**6/15 - 3*f**5/5 + 4*f**4/3 + 2*f**3 - 9*f**2 - 2*f - 3. Factor h(x).
2*(x - 3)**2*(x - 1)*(x + 1)
Let k(p) be the second derivative of -p**5/10 - 61*p**4/6 - 899*p**3/3 + 961*p**2 - 318*p. Let k(l) = 0. What is l?
-31, 1
Let b(j) be the first derivative of j**6/7 - 2*j**5/35 - 3*j**4/2 - 22*j**3/21 + 6*j**2/7 - 89. Let b(v) = 0. What is v?
-2, -1, 0, 1/3, 3
Let r(z) be the third derivative of -z**11/1496880 + z**9/272160 + z**5/15 - 9*z**2. Let d(y) be the third derivative of r(y). Let d(s) = 0. What is s?
-1, 0, 1
Suppose -10 = -23*d + 18*d. Let b(y) be the third derivative of -1/30*y**5 + 0*y + 0 - 2*y**d - 1/60*y**6 + 0*y**3 + 1/6*y**4. Suppose b(k) = 0. What is k?
-2, 0, 1
Let m(h) be the second derivative of -1/5*h**5 - 2/45*h**6 + 1/9*h**4 + 0 - 6*h + 0*h**2 + 4/63*h**7 + 2/9*h**3. What is p in m(p) = 0?
-1, -1/2, 0, 1
Let d(o) be the second derivative of o**4/72 - 5*o**3/9 - 7*o**2/4 + 264*o. Factor d(k).
(k - 21)*(k + 1)/6
Let i(c) be the third derivative of -c**5/180 - 49*c**2 - 1. Suppose i(p) = 0. What is p?
0
Let k = -99 + 69. Let j = -21 - k. Factor 8*v**3 + 2*v**2 - 6*v**2 + j*v - 2 - 8*v**2 - 3*v**3.
(v - 1)**2*(5*v - 2)
Determine r so that -283 - 30*r**2 - 45 - 5 - 280*r - 42 + 10*r**2 = 0.
-25/2, -3/2
Let z be 13/7 + -5 + 36/7. Suppose 0 = -5*i + 2*d + 1 + 7, 0 = -2*d + 2. Factor -y**3 + 6 - z - y**2 + 3*y + i*y - y.
-(y - 2)*(y + 1)*(y + 2)
Suppose 0*y + 3*y = 6. Solve 0*u**4 + 5*u**4 + y*u**3 - 4*u**4 - u**2 + u**5 - 3*u**3 = 0.
-1, 0, 1
Let c(b) be the third derivative of 0*b - 1/28*b**4 + 1/42*b**5 - 1/420*b**6 + 0 + 12*b**2 - 3/7*b**3. Factor c(q).
-2*(q - 3)**2*(q + 1)/7
Let y = -33 + 42. Let b be ((-2 - -5) + 0)/(y/6). Factor 0*c + 0 - 9*c**3 - 27/4*c**4 - 3*c**b.
-3*c**2*(3*c + 2)**2/4
Let 0*u**2 + 0*u**4 + 0 + 1/4*u - 1/2*u**3 + 1/4*u**5 = 0. What is u?
-1, 0, 1
Let x = -1025128/15 - -68368. Factor 56/15*i - 2/15*i**2 - x.
-2*(i - 14)**2/15
Let l(p) = -5*p**2 - 16*p + 2. Let s be l(-3). Let w(d) be the first derivative of | {
"pile_set_name": "DM Mathematics"
} |
d(4). Which is the nearest to p? (a) v (b) -2 (c) j
c
Let w = -10 - -10.2. Let s = w + -10.2. Let l = s - -10.2. Which is the nearest to 2/9? (a) l (b) -4 (c) -1
a
Let h = -3 + 4. Let q be 3 + (-9)/6*2. Which is the nearest to q? (a) h (b) -5/4 (c) 4/3
a
Let w = -1.1 + 5.1. Let j = -13.93 - -14. Let f = -0.13 - j. Which is the nearest to -2? (a) f (b) w (c) 2/5
a
Let v = 3.1 - 3.5. Which is the nearest to -0.1? (a) v (b) 4 (c) -2/7
c
Let q = -4.08 + 0.08. Let y = 54 - 53.7. Which is the closest to 2/5? (a) y (b) 0.2 (c) q
a
Let u(m) = -3*m + 1. Let g be u(-1). Let w = 6 - 5.6. Let p be 17/(-5) + 1 - -2. Which is the closest to -2/9? (a) g (b) w (c) p
c
Let b = 11 - 15. What is the nearest to 0 in -5, b, 0.1?
0.1
Let o(a) = a**2 + 4*a - 4. Let l be o(-4). Let y = -119/1725 - -11/115. Let v = 28/75 + y. What is the nearest to v in 0.4, 4, l?
0.4
Let g = 4.04 - 0.04. Let j = -0.2 - 3. Let d = 3 + j. What is the closest to 0 in d, g, -0.4?
d
Let v = -1.3 - -1.5. Which is the closest to 1? (a) 0.5 (b) v (c) -1/6
a
Let a be (3 + 145/(-50))/1. What is the closest to 0.5 in -0.3, a, 1/8?
1/8
Let x = -0.1 - 0.4. Let y = x + 0.1. Let j = y + 0.8. Which is the closest to -1? (a) -2/5 (b) 2 (c) j
a
Let r be ((-67)/(-2))/((-3)/(-2)). Let n = r + -22. Let t = 2 + -1.5. Which is the closest to n? (a) t (b) 3 (c) -2/11
a
Let v = 4 - 3. Which is the nearest to v? (a) -0.3 (b) 0.2 (c) -0.2
b
Let y = 7 + -10. Let p = 247/2865 - -9/191. What is the nearest to 2/5 in y, 0.2, p?
0.2
Let y = -0.33 - -0.13. Let d = -8 - -7.6. What is the nearest to 0.4 in y, d, 2/5?
2/5
Let t = 2.5 - 2. Let b = -0.21 - -14.21. Let c = b + -14.2. What is the nearest to 0.1 in c, t, 2?
c
Let v be (-10)/(-24) - 1/(-4). Let d be 0 + ((-10)/(-8) - 1). Which is the closest to v? (a) d (b) -0.3 (c) -1/3
a
Let q be (-2)/2*1/(-3). Let v = -0.5 - -1. Let p = -0.3 + v. What is the closest to q in p, -2, -3?
p
Let o = 0.14 - 0.04. Let j be 92/20 + (-4)/(-10). Let s = -24 - -23.8. Which is the closest to o? (a) s (b) j (c) -0.1
c
Let m = 11 - 12. Which is the closest to 5? (a) m (b) 0.5 (c) -4/7
b
Let u be (-278)/42 + (-4)/(-14). Let l = u - -7. Let d = 20 - 17. Which is the closest to l? (a) 0.3 (b) 0 (c) d
a
Suppose -2*g + 50 = 5*y, -5*y + 3*y = -3*g - 1. Which is the closest to -1/2? (a) 0.4 (b) 1/12 (c) y
b
Let j = -4.5 - -5. Let h = -0.5 + j. Let q = -3 - -2.5. What is the nearest to h in 0.3, 1/6, q?
1/6
Let f be 1 - 2/((-372)/(-314)). Let p = -2/93 - f. What is the closest to -0.5 in p, -3/5, -4?
-3/5
Let n = -5.74 - 0.26. Which is the closest to -1? (a) -0.5 (b) n (c) -4
a
Let k be 19/(-45) + (-14)/(-63). What is the nearest to -0.1 in -1, k, 0.3?
k
Suppose t = 3*t + 6. Let r be 6/(-10)*(-8)/6. Which is the nearest to -0.1? (a) -0.1 (b) t (c) r
a
Let x be (-3 - (0 - 2)) + 49/21. Which is the nearest to -0.1? (a) x (b) -2/11 (c) 0.4
b
Let u = 3.23 - 3.1. Let m = u + 4.87. Let g = 0 + m. What is the closest to -2/3 in -1/2, g, -5?
-1/2
Let u = 5 - 1. Suppose s + u*s = -20. What is the nearest to -2 in 2, 1, s?
s
Let z = 0.1 - 0.1. Which is the closest to z? (a) -0.5 (b) 2/7 (c) -1
b
Let m be (-2)/(-3)*1*3. Suppose 4*h + 20 = 0, m*y + 3*y + 5*h - 105 = 0. Let n be y/(-42) - (-1)/3. What is the nearest to 2/9 in 1/8, 1/3, n?
1/8
Let t = -11.8 + 6.8. What is the nearest to 3 in 0.1, 1/2, t?
1/2
Let q = 0 + 0. Let t = 0.2 + q. Let k = t + -0.1. What is the nearest to k in -1, 1/4, -1/5?
1/4
Let m = 0.015 - -3.985. Which is the closest to -1? (a) 5 (b) m (c) 0.03
c
Suppose -5*p = -10*p + 5. What is the nearest to p in 0, -0.2, -0.5?
0
Let m = -1 - -4. What is the closest to 1 in m, 5, 4?
m
Let x = 26 + -16. Let w = 9 + -15. Let l = x + w. Which is the closest to 0? (a) -2 (b) l (c) 3/5
c
Let g be -9*(-1)/6*(-4)/6. Which is the nearest to 1? (a) -3/4 (b) 0.2 (c) g
b
Let d be (-72)/126 + 10/(-56). Let y = -1 + 3. Which is the closest to -0.1? (a) -1/5 (b) y (c) d
a
Let h = 1.7 - -1.3. What is the closest to h in 1/3, -1/6, -2/9?
1/3
Let n = 7/33 + 5/11. Let l = 0.7 + -0.4. Let o = -1.2 - -1. Which is the nearest to n? (a) -2 (b) l (c) o
b
Let x be 4/20 - (-2)/90. Let y = 1.94 + 0.06. Let h = -0.9 - -1.3. Which is the nearest to 0? (a) x (b) h (c) y
a
Let y = -25 - -123/5. What is the nearest to 2.4 in -3, -2, y?
y
Let z(t) = -t - 4. Let q be z(-3). Let w = -0.483 + 0.083. What is the nearest to 2/3 in 4, q, w?
w
Let a = 9 + -8. Suppose 0 = 3*x + t - a, 0*t + 2*t - 10 = 2*x. Let z be (1 - x)/(-1 - -2). What is the closest to -1 in z, -5, 1?
1
Let p = 1.3 - 2.6. Let n = p + 0.3. What is the closest to 1/4 in -0.1, -1/4, n?
-0.1
Let g be 16/(-18)*(-3)/(-4). Let c = 2 - 1.9. What is the closest to c in 2/3, g, 2?
2/3
Let k = -1 - -3. Let d = 3.4 + 0.6. Let w = k - d. Which is the closest to w? (a) 1/5 (b) 0.5 (c) 2/9
a
Let o = -1.3 - -1.2. Let i = 0.3 - 0.4. Which is the closest to o? (a) 0.1 (b) 1 (c) i
c
Let l be (-8)/6*21/(-154). Let y be (-12)/20 + 51/60. What is the nearest to y in -3, -0.2, l?
l
Let r = 0 + 0.1. Let w = -0.03 - 0.07. Which is the closest to w? (a) r (b) 0.4 (c) -5
a
Let s = 0.5 + -0.9. Let f = -0.1 - 0.5. Let y = -0.4 + f. Which is the nearest to y? (a) -3 (b) s (c) -0.2
b
Suppose i + 81 = 68. What is the nearest to i in 2, 2/21, -1?
-1
Let f = -5/3 + 19/15. Let d = f + -21/10. Let i = -0.24 - -0.34. What is the closest to 0 in i, -0.4, d?
i
Let p = 0.12 - 0.12. Which is the nearest to p? (a) -2 (b) -10/3 (c) -1/4
c
Let s = 196.62 - 197. Which is the nearest to 0.1? (a) -2 (b) 0 (c) s
b
Let z = 1.4 + -1. Let s = 0.5 - z. Which is the closest to 1/2? (a) -4 (b) 2/7 (c) s
b
Let z = 0.23 + 1.77. What is the closest to 1 in 3, 4, z?
z
Let k = -0.3 - -0.2. Let o = 0.7 + 4.3. Let i = -197/665 + 1/95. Which is the nearest to i? (a) k (b) o (c) 3
a
Let t(q) = -5*q**3 + q + 1. Let v be t(-1). Let r = -0.3 - -0.4. Let m = r - 0.3. What is the closest to m in 0.4, v, 0?
0
Let p = 4 - 0. Let u = p - 3.9. Let i = -0.1 + u. Which is the closest to -0.1? (a) -1/3 (b) i (c) -3
b
Let z = 1/158 + -167/1422. Let m = -4.6 - -5. Let u = 82/3 - 27. Which is the nearest to -2/5? (a) z (b) m (c) u
a
Suppose 0 = -2*o + 2*c - 20, -o - 15 = -2*c. Let m = o + 7. What is the nearest to -2 in -0.3, m, 3?
-0.3
Suppose -2*d - 3 = -d. Let w be (2/9)/((-2)/d). Which is the nearest to 0? (a) -2 (b) w (c) -0.2
c
Let k = 0.8 - 3.8. Let v(u) = u**2 - 6*u + 5. Let t be v(5). Let g = -188 + 1318/7. What is the nearest to g in 3, k, t?
t
Let m = 2 + 1. Let g = -6 + m. What is the nearest to -2/3 in g, 2, 0?
0
Let p = 3 + -2.6. Let z = p + -4.4. Let i = 83/387 - -1/129. What is the nearest to 0 in z, -0.1, i?
-0.1
Let z = 6 + -1. Let s = -23.1 + 23. What is the nearest to s in 1/2, -4, z?
1/2
Let q = 119 + -597/5. Which is the closest to q? (a) 1 (b) 0.5 (c) 2/21
c
Let q = 7 - 6.7. Let d = q - 2.3. Which is the nearest to -0.1? (a) -3 (b) 0.4 (c) d
b
Let d = -4.9 - -0.9. Let f = d + 2. Let y be (30/4)/3 + -3. Which is the closest to y? (a) 3 (b) -0.3 (c) f
b
Let l be 3/(-15)*-1 + 89/5. Which is the nearest to 0? (a) 0 (b) -1/10 (c) l
a
Let z = 6 + -3. Let g = 4 - z. Let h = -4 + 7. Which is the closest to 2/3? (a) h (b) g (c) 1/5
b
Let u be (3/(-2))/((-14)/(-93)). Let w = u - -41/4. Which is the nearest to w? (a) 5 (b) 1/4 (c) 1
b
Let y = 0.91 + 0.09. Let r = -2 - -1.9. What is the nearest to y in 4, 0, r?
0
Suppose 4*t - 24 = -5*m - 0, 5*m - 12 = -2*t. Suppose -3*p + 0*p = t. What is the nearest to -3 in -0.2, p, 0.5?
p
Let y = -23 - 5. Let p = y - -23. Let r = 1.98 - -0.02. Which is the nearest to r? (a) 1 (b) -0.3 (c) p
a
Let h be -6 + 6/(2 - 0). Let k be (9/6)/(h/8). Let z = -0.1 + -0.1. What is the nearest to -2/3 in k, 0.5, z?
z
Let l = 0.168 + -0.068. Let p = 11 - 6. What is the closest to l in p, -5, -4?
-4
Let g = -91 + 91.4. Which is the closest to 6/5? (a) 0.5 (b) -2 (c) g
a
Let o be ((-5)/(-10))/(-1 - -2). Suppose 7*s = -2*g + 2*s - 5, -4*g = -3*s - 3. Let u be ((-4)/70)/(3/(-15)). Which is the nearest to g? (a) 4 (b) u (c) o
b
Let h be (-1)/3 + (-3)/(-6). Let r = -5 + 6. Which is the nearest to 2? (a) r (b) h (c) -1
a
Suppose -3*y + 6 = -z, -z - 2*z = -2*y - 3. L | {
"pile_set_name": "DM Mathematics"
} |
What are the prime factors of 955012?
2, 257, 929
List the prime factors of 1212930.
2, 3, 5, 13477
What are the prime factors of 230303?
230303
What are the prime factors of 537691?
7, 11, 6983
What are the prime factors of 1193280?
2, 3, 5, 11, 113
List the prime factors of 302228.
2, 75557
What are the prime factors of 734230?
2, 5, 7, 17, 617
List the prime factors of 350675.
5, 13, 83
List the prime factors of 2338948.
2, 584737
List the prime factors of 23195108.
2, 1831, 3167
List the prime factors of 2142605.
5, 173, 2477
List the prime factors of 1017011.
1017011
List the prime factors of 25858975.
5, 1034359
List the prime factors of 387049.
13, 19, 1567
List the prime factors of 550243.
193, 2851
List the prime factors of 6717581.
13, 39749
What are the prime factors of 3707937?
3, 15259
List the prime factors of 397185.
3, 5, 26479
What are the prime factors of 20674910?
2, 5, 2067491
What are the prime factors of 16945722?
2, 3, 941429
List the prime factors of 3048880.
2, 5, 23, 1657
List the prime factors of 2603682.
2, 3, 79, 1831
What are the prime factors of 251524?
2, 7, 13, 691
What are the prime factors of 2394622?
2, 23, 52057
List the prime factors of 456975.
3, 5, 677
What are the prime factors of 1046435?
5, 13, 17, 947
List the prime factors of 8277089.
89, 93001
What are the prime factors of 2582312?
2, 59, 5471
What are the prime factors of 430346?
2, 7, 59, 521
List the prime factors of 51002.
2, 7, 3643
What are the prime factors of 3804970?
2, 5, 13, 29269
List the prime factors of 2543097.
3, 29, 29231
List the prime factors of 921662.
2, 7, 43, 1531
List the prime factors of 2985803.
359, 8317
What are the prime factors of 6771456?
2, 3, 2939
What are the prime factors of 430371?
3, 47819
List the prime factors of 190827.
3, 7, 13, 233
List the prime factors of 2616117.
3, 7, 124577
What are the prime factors of 5232654?
2, 3, 7, 109, 127
List the prime factors of 202453.
17, 11909
List the prime factors of 20865421.
2657, 7853
What are the prime factors of 972507?
3, 179, 1811
What are the prime factors of 295558?
2, 147779
What are the prime factors of 101167?
11, 17, 541
What are the prime factors of 140035?
5, 7, 4001
List the prime factors of 353746.
2, 83, 2131
List the prime factors of 3444860.
2, 5, 172243
What are the prime factors of 1227571?
19, 64609
What are the prime factors of 6552971?
79, 109, 761
What are the prime factors of 252647?
467, 541
What are the prime factors of 9535500?
2, 3, 5, 13, 163
What are the prime factors of 21119847?
3, 7, 61, 16487
What are the prime factors of 140398?
2, 70199
List the prime factors of 152024.
2, 31, 613
List the prime factors of 609506.
2, 41, 7433
What are the prime factors of 5378652?
2, 3, 53, 2819
List the prime factors of 215051.
215051
What are the prime factors of 2766334?
2, 149, 9283
List the prime factors of 512996.
2, 11, 89, 131
List the prime factors of 7551321.
3, 31, 81197
List the prime factors of 1002699.
3, 12379
List the prime factors of 247523.
127, 1949
List the prime factors of 35812.
2, 7, 1279
List the prime factors of 173855.
5, 11, 29, 109
What are the prime factors of 1810244?
2, 19, 23819
What are the prime factors of 2495368?
2, 271, 1151
List the prime factors of 1065606.
2, 3, 177601
What are the prime factors of 1056110?
2, 5, 11, 9601
List the prime factors of 1801.
1801
What are the prime factors of 242691?
3, 80897
List the prime factors of 7886283.
3, 17, 239, 647
List the prime factors of 983841.
3, 17, 101, 191
List the prime factors of 3924472.
2, 490559
List the prime factors of 1345278.
2, 3, 11, 17, 109
What are the prime factors of 9252165?
3, 5, 13, 17, 2791
What are the prime factors of 111588?
2, 3, 17, 547
List the prime factors of 20549224.
2, 2568653
List the prime factors of 42463755.
3, 5, 227, 4157
What are the prime factors of 724888?
2, 19, 251
What are the prime factors of 1243187?
11, 113017
What are the prime factors of 1222392?
2, 3, 31, 53
What are the prime factors of 852298?
2, 47, 9067
List the prime factors of 422329.
107, 3947
What are the prime factors of 10645532?
2, 307, 8669
What are the prime factors of 14440932?
2, 3, 11, 36467
List the prime factors of 14504.
2, 7, 37
List the prime factors of 14072512.
2, 31, 41, 173
List the prime factors of 1800886.
2, 900443
What are the prime factors of 1407958?
2, 31, 22709
What are the prime factors of 323210?
2, 5, 32321
List the prime factors of 19689306.
2, 3, 7, 13, 36061
What are the prime factors of 2948903?
2948903
List the prime factors of 57673.
7, 11, 107
What are the prime factors of 2206055?
5, 359, 1229
What are the prime factors of 1952867?
7, 278981
List the prime factors of 9820432.
2, 59, 101, 103
What are the prime factors of 120276?
2, 3, 13, 257
List the prime factors of 314059.
314059
What are the prime factors of 3423633?
3, 67, 17033
List the prime factors of 984789.
3, 13, 19, 443
List the prime factors of 1477376.
2, 29, 199
What are the prime factors of 12357711?
3, 347, 1319
List the prime factors of 690207.
3, 7, 23, 1429
List the prime factors of 6308531.
31, 197, 1033
What are the prime factors of 2025082?
2, 107, 9463
What are the prime factors of 266201?
13, 20477
List the prime factors of 475464.
2, 3, 11, 1801
List the prime factors of 65889.
3, 7321
What are the prime factors of 409537?
541, 757
What are the prime factors of 280225?
5, 11, 1019
What are the prime factors of 706001?
706001
List the prime factors of 2536092.
2, 3, 13, 5419
List the prime factors of 46376.
2, 11, 17, 31
What are the prime factors of 1936462?
2, 11, 23, 43, 89
List the prime factors of 123548.
2, 67, 461
What are the prime factors of 805275?
3, 5, 1193
What are the prime factors of 2313734?
2, 17, 4003
What are the prime factors of 10064694?
2, 3, 463, 3623
What are the prime factors of 897453?
3, 43, 773
What are the prime factors of 173654?
2, 13, 6679
List the prime factors of 1245856.
2, 38933
List the prime factors of 812697.
3, 270899
What are the prime factors of 15086?
2, 19, 397
List the prime factors of 3899619.
3, 433291
What are the prime factors of 3138499?
7, 13, 379
What are the prime factors of 21827?
13, 23, 73
What are the prime factors of 188749?
11, 17159
What are the prime factors of 5137962?
2, 3, 67, 12781
What are the prime factors of 543640?
2, 5, 13591
What are the prime factors of 1190851?
1190851
List the prime factors of 7679952.
2, 3, 7, 19, 401
What are the prime factors of 581182?
2, 7, 41513
List the prime factors of 136328.
2, 17041
What are the prime factors of 6349833?
3, 7, 3733
List the prime factors of 37543.
11, 3413
List the prime factors of 185487.
3, 17, 3637
What are the prime factors of 4206883?
641, 6563
What are the prime factors of 16661755?
5, 11, 302941
What are the prime factors of 307279?
7, 6271
What are the prime factors of 1046498?
2, 31, 16879
List the prime factors of 3797476.
2, 59, 16091
What are the prime factors of 21888201?
3, 31, 37, 6361
List the prime factors of 140321.
140321
List the prime factors of 918138.
2, 3, 13, 79, 149
List the prime factors of 379798.
2, 53, 3583
What are the prime factors of 3387301?
17, 19, 10487
List the prime factors of 43918971.
3, 31, 472247
List the prime factors of 479047.
19, 1327
List the prime factors of 6469024.
2, 113, 1789
List the prime factors of 6943731.
3, 29, 79813
List the prime factors of 9666802.
2, 29, 166669
What are the prime factors of 222494?
2, 53, 2099
What are the prime factors of 3736681?
13, 287437
List the prime factors of 33520766.
2, 16760383
List the prime factors of 176141.
7, 25163
List the prime factors of 1080115.
5, 216023
What are the prime factors of 845495?
5, 7, 17, 29
List the prime factors of 1707888.
2, 3, 7, 13, 17, 23
What are the prime factors of 215390?
2, 5, 7, 17, 181
List the prime factors of 418673.
29, 14437
What are the prime factors of 13048538?
2, 6524269
List the prime factors of 387365.
5, 11, 7043
What are the prime factors of 3832752?
2, 3, 7, 11, 17, 61
What are the prime factors of 1464006?
2, 3, 17, 31, 463
What are the prime factors of 687954?
2, 3, 114659
What are the prime factors of 1737581?
23, 31, 2437
List the prime factors of 2719581.
3, 239, 3793
List the prime | {
"pile_set_name": "DM Mathematics"
} |
- 2/7*t**3 + p = 0. Calculate t.
-1, 0, 2
Let i(k) be the second derivative of k**6/120 + k**5/20 - k**4/48 - 2*k**3/3 - 3*k**2/2 + k + 113. Find j such that i(j) = 0.
-3, -2, -1, 2
Let v be (12/60*4)/((-2)/(-5)). Factor 18/11 + 12/11*q + 2/11*q**v.
2*(q + 3)**2/11
Let q(n) = 9*n**4 - 2*n**3 - 4*n - 5. Let a(r) = 2*r**4 - r**3 - 1. Let b(w) = 5*a(w) - q(w). Factor b(t).
t*(t - 2)**2*(t + 1)
Suppose h = 4*d + 5*h - 36, 3*d + 3 = 3*h. Find l such that -21*l**4 + 30*l**2 - 8*l - 11*l**2 - d + 6*l**2 + 8*l**3 = 0.
-1, -2/7, 2/3, 1
Let j be (15/(-9))/((-35)/28). Let m(w) be the first derivative of -1/3*w**2 + 2 + 0*w - j*w**3. Factor m(x).
-2*x*(6*x + 1)/3
Factor 0 - 32/3*q + 4*q**3 + 8*q**2 - 4/3*q**4.
-4*q*(q - 4)*(q - 1)*(q + 2)/3
Let q(k) be the first derivative of 4 + 1/1620*k**6 + 1/12*k**4 + 8/3*k**3 + 0*k - 1/90*k**5 + 0*k**2. Let c(v) be the third derivative of q(v). Factor c(h).
2*(h - 3)**2/9
Let p(d) = 20*d**3 - 184*d**2 + 436*d + 16. Let k(a) = -4*a**3 + 37*a**2 - 87*a - 3. Let q(l) = 16*k(l) + 3*p(l). Factor q(h).
-4*h*(h - 7)*(h - 3)
Let h(j) be the third derivative of -1/36*j**4 + 12*j**2 + 0 + 0*j**3 - 1/450*j**5 + 0*j. Factor h(u).
-2*u*(u + 5)/15
Suppose -12*c + 76 = 16. Find p such that -12*p**3 - 2/3*p - c*p**2 - 9*p**4 + 0 = 0.
-2/3, -1/3, 0
Suppose -2*r - 4*w - 80 = 0, -5*r + 0*w = -5*w + 140. Let q be (-1 + -14)/(r/8). Suppose -9/4*a**2 + 3*a**4 - q*a**3 - 3/4 + 15/4*a = 0. What is a?
-1, 1/4, 1
Let q(x) be the third derivative of -5/2*x**4 - 2/5*x**5 - 16/3*x**3 + 0*x + 1/30*x**6 + 0 + 27*x**2. Factor q(h).
4*(h - 8)*(h + 1)**2
Suppose 9*a = 181 - 82. Suppose -4*l + 30 = a*l. Suppose -2/13*c - 2/13*c**3 + 4/13*c**l + 0 = 0. What is c?
0, 1
Solve 10*n**3 + 11*n - 213*n**2 - 121*n + 388*n**2 + 5*n**4 - 80*n**3 = 0 for n.
0, 1, 2, 11
Let x(j) = -5*j**3 - 4*j**2 - 2. Let z(c) = 36*c**3 + 30*c**2 + 15. Let n(s) = 15*x(s) + 2*z(s). Determine h so that n(h) = 0.
0
Let u = 2 + 5. Let t be (3/2)/(-3 + (-35)/(-10)). Find v, given that -u*v**3 + 19*v**t - 12*v**2 - 16*v - 4*v**2 + 3*v**5 + v**5 + 16*v**4 = 0.
-2, -1, 0, 1
Suppose 4*f = -12, -9*g + 5*g = -f + 5. Let b be (0 + g/(-30))/(11/66). Factor 12/5*k - 18/5 - b*k**2.
-2*(k - 3)**2/5
Let d(a) = -a**2 - a + 272. Let z be d(-17). Let v(c) be the first derivative of -3 + 1/3*c**2 + 0*c + z*c**3 - 1/6*c**4. Factor v(o).
-2*o*(o - 1)*(o + 1)/3
Let i = -1852 + 24080/13. Solve i - 4/13*c**2 + 6/13*c - 6/13*c**3 = 0.
-1, -2/3, 1
Let w = 25 - 17. Let c be -2 - 0 - w/(-2). Solve -3/2 + 8*x**3 - 28*x**c + 25/2*x = 0 for x.
1/4, 3
Let m(g) be the first derivative of 20/21*g**3 - 1/6*g**6 + 3/4*g**4 + 0*g + 2/7*g**2 - 2/35*g**5 - 4. Let m(b) = 0. What is b?
-1, -2/7, 0, 2
Factor -116/5*l + 2/15*l**2 + 346/15.
2*(l - 173)*(l - 1)/15
Let s(p) be the third derivative of -1/630*p**7 + 1/60*p**5 + 1/180*p**6 + 0 - 1/18*p**4 + 0*p - 2*p**2 - 2/9*p**3. Let s(f) = 0. Calculate f.
-1, 2
Determine d, given that 3*d**3 + 40 + 75 - 3*d**2 + 32 - 147*d = 0.
-7, 1, 7
Let a(i) be the second derivative of -2/3*i**3 - 3*i + 0 + 5/6*i**4 + 0*i**2 + 3/10*i**5. Factor a(t).
2*t*(t + 2)*(3*t - 1)
Let p be (5/((-90)/24))/(5/(-15)). Let j(l) be the second derivative of -100/3*l**3 + 4*l + 40*l**2 + 125/12*l**p + 0. Solve j(w) = 0 for w.
4/5
Let x(k) be the first derivative of k**7/2100 - k**6/450 + k**5/300 + k**3/3 - 6. Let a(m) be the third derivative of x(m). Factor a(d).
2*d*(d - 1)**2/5
Let w be -2 + -1 - 6/(72/(-44)). Let b be 14/(-6) + (7 - (0 + 3)). Factor 0 + b*d**4 + w*d**3 - 2/3*d - 5/3*d**2.
d*(d - 1)*(d + 1)*(5*d + 2)/3
Let b = -16887 + 16889. Factor -1/6*a**b + 1/2 + 1/3*a.
-(a - 3)*(a + 1)/6
Suppose 68*n - 121 - 15 = 0. Factor -5/4*i**3 - 15/4*i**n - 15/4*i - 5/4.
-5*(i + 1)**3/4
Let a be (23 - (16 - -12))/(-2). Find k, given that -2*k**4 + a*k**5 + k**2 + 1 + 11/2*k - 8*k**3 = 0.
-1, -1/5, 1, 2
Let n(f) = 11 - f**2 + 4*f + 2*f - 2*f. Let c(l) = -l**2 - l + 1. Let d(i) = 2*c(i) - n(i). Let d(u) = 0. Calculate u.
-3
Let x(p) be the third derivative of -p**7/1890 - p**6/1080 + 41*p**5/540 - 37*p**4/72 + 4*p**3/3 + 10*p**2 + 3. Factor x(s).
-(s - 3)**2*(s - 1)*(s + 8)/9
Determine h, given that 9*h**4 - 36*h**2 - 38*h + 5*h**5 - h**5 - h**5 - 6*h**3 + 14*h + 0*h = 0.
-2, -1, 0, 2
Let p(a) = -25*a**3 - 287*a**2 + 17*a. Let d(r) = -9*r**3 - 96*r**2 + 6*r. Let b(w) = -17*d(w) + 6*p(w). Factor b(g).
3*g**2*(g - 30)
Let f(k) be the third derivative of k**5/20 - 7*k**4/8 + 3*k**3 + 3*k**2 - k. Solve f(q) = 0 for q.
1, 6
Let r(g) be the first derivative of 9*g**4/4 + 56*g**3/5 + 21*g**2/2 + 18*g/5 - 81. What is k in r(k) = 0?
-3, -2/5, -1/3
Let v(h) be the first derivative of -2*h**3/15 + 2*h**2 - 42*h/5 + 472. Factor v(s).
-2*(s - 7)*(s - 3)/5
Let x = 0 - -3. Suppose x*a + 3*u - 6 = 0, 4*a = 5*u - u + 32. Let 2*y**5 + 0*y**5 + 4*y**3 + 0*y**3 - 4*y**a - 2*y = 0. Calculate y.
-1, 0, 1
Let q = -12830/11 + 1168. Let w be (-1)/(30/(-4)) - 24/(-495). Determine b so that -32/11 - q*b**2 + 48/11*b + w*b**3 = 0.
1, 4
Suppose -5*t - 2*v + 17 + 1 = 0, v - 8 = -2*t. Factor 0*p**2 - t*p**3 - 8*p**2 + 4*p**2.
-2*p**2*(p + 2)
Suppose -a = a. Let h = 6 + a. Factor 3*d**3 + 5*d**3 + 12*d**2 + 3*d**4 + 3*d**2 + h*d + 4*d**3.
3*d*(d + 1)**2*(d + 2)
Let z(n) = -2*n**2 + 1. Let t(r) = 7*r**2 + 45*r + 40. Let q(v) = t(v) + 2*z(v). Factor q(m).
3*(m + 1)*(m + 14)
Determine w, given that 267*w**3 - 44*w**2 - 62*w - 136*w**3 - 18 - 2*w**4 + 14*w - 147*w**3 = 0.
-3, -1
Let m(t) = -t**3 - t**2. Let i(n) = n + 1. Let j = 22 + -10. Suppose -3*c - j = 5*h - 4*c, -h + c = 0. Let u(z) = h*m(z) - 3*i(z). Factor u(v).
3*(v - 1)*(v + 1)**2
Suppose o - 19 = 4*s, 245*s = 4*o + 241*s - 28. Let j = -40/9 + 494/99. Let -2/11*r**2 + 0*r + j*r**o - 6/11*r**4 + 2/11*r**5 + 0 = 0. Calculate r.
0, 1
Let d(w) be the second derivative of -3*w**5/80 - 5*w**4/4 - 16*w**3 - 96*w**2 - 17*w - 7. Factor d(m).
-3*(m + 4)*(m + 8)**2/4
Let 7/2*m + 3 - 3/2*m**2 + 1/2*m**4 - 3/2*m**3 = 0. Calculate m.
-1, 2, 3
Suppose 0 = 5*w + 109 - 34. Let m be 30/w*2/(-12). Suppose 5/3*l**2 + 0 - m*l = 0. What is l?
0, 1/5
Let z(h) be the first derivative of h**6/2160 + 7*h**5/360 + 49*h**4/144 - 5*h**3 + 9. Let f(d) be the third derivative of z(d). Factor f(t).
(t + 7)**2/6
Let i(o) be the third derivative of o**8/65520 - o**7/4680 + o**6/1560 + o**5/30 - 12*o**2. Let n(r) be the third derivative of i(r). Factor n(c).
2*(c - 3)*(2*c - 1)/13
Let c(g) = 5*g**4 + 23*g**3 - 35*g**2 - 50*g. Let v(y) = -5*y**4 - 22*y**3 + 35*y**2 + 50*y. Let k(i) = 2*c(i) + 3*v(i). Factor k(u).
-5*u*(u - 2)*(u + 1)*(u + 5)
Let j(v) be the third derivative of 0*v - 1/6*v**4 + 1/30*v**5 + 0*v**3 + 0 + 13*v**2 + 1/60*v**6. Factor j(b).
2*b*(b - 1)*(b + 2)
Let y(n) = n**2 + 7*n + 12. Let b be y(-5). Suppose b*v + 0*v = 6. Find i such that 24*i**3 + i - 2*i - 25*i**v + 2*i**2 = 0.
0, 1
Let x(u) be the second derivative of -u**6/3060 - u**5/340 - u**4/102 + u**3/3 + 12*u. Let d(g) be the second derivative of x(g). Factor d(i).
-2*(i + 1)*(i + 2)/17
Factor 1/2*k**4 + 0*k + 1/2*k**3 + 0 - k**2.
k**2*(k - 1)*(k + 2)/2
Let u(h) be the third derivative of -h**5/390 - 7*h**4/156 - 2*h**3/13 + 64*h**2. Find z, given that u(z) = 0.
-6, -1
Let x(j) be the third derivative of 4*j**6/75 + 4*j**5/25 - 9*j**4/4 + 20*j**3/3 + 368*j**2. What is k in x(k) = 0?
-4, 5/4
Let j be -1871*(-1)/30*-6. Let c = -373 - j. Let 2/5*o - 6/5*o**2 - 2/5*o**4 + 0 + c*o**3 = 0. Calculate o.
0, 1
Let u = 79 - 77. Let y be (-1)/(1/(-4)*2). Factor 2/3*w**u - y + 4/3*w.
2*(w - 1)*(w + 3)/3
Let y(v) be the second derivative of v**8/504 + v**7/126 + v**6/90 + v**5/180 + 9*v**2 - 21*v. Let w(u) be the first derivative of y(u). Solve w(a) = 0 for a.
-1, -1/2, 0
Suppose 3*c = -25 - 23. Let l be ((-52)/c - 3)*8. Find s, given that -2/7*s**3 + 2/7*s - 4/7*s**l + 4/7 = 0.
-2, -1, 1
Let d(a) = -a**2 - 12*a + 135. Let c be d(-19). Let z(k) be the second derivative of -8*k - 4/5*k**c + 0 + 0*k**3 + 1/30*k**4. Let z(i) = 0. Calculate i.
-2, 2
Let i(n) = -13*n**4 + 29*n**3 - 6*n**2 - 137*n - 110. Let m(a) = -7*a**4 + 14*a**3 - 3*a**2 - 68*a - 56. Let q(r) = 4*i(r) - 7*m(r). Factor q(f).
-3*(f - 4)**2*(f + 1)**2
Suppose 138/7*d**3 + 2/7*d**4 - 426/7*d**2 + 430/7*d - 144/7 = 0. Calculate d.
-72, 1
Let m be 52/130 + (-7)/30 + (-22)/132. Let m + 20/3*w + | {
"pile_set_name": "DM Mathematics"
} |
2 - 128*i**2 - 190*i**2) to n*i + g + j*i**2 + y*i**3 and give y.
-13536
Express (-22 - 53 - 37)*(-51 - 13*f + 51) in the form o + b*f and give o.
0
Rearrange 2*a**4 - a**3 - 993*a**2 + 4*a**4 - 137*a + 1846*a**2 - 854*a**2 + 5*a**4 - 1 to s + j*a**4 + p*a**2 + v*a**3 + z*a and give z.
-137
Express -349 - 4*s + 461 - 7*s in the form h*s + o and give o.
112
Express 382*w**2 - 4*w**3 + 5*w**3 - 165*w**2 + 198*w**2 + 2*w as c + n*w**3 + t*w + d*w**2 and give c.
0
Express 696*v**3 - 196 - 46*v**3 - 6*v**3 + 425 - 227 as h*v + b*v**2 + t*v**3 + k and give k.
2
Express 2*v**3 + 36*v**3 + 4*v**3 + 11*v**3 - v**2 + 20262*v - 20268*v in the form j*v + f*v**3 + r + m*v**2 and give m.
-1
Rearrange -6449*b - 18123*b - 170*b to i + q*b and give q.
-24742
Rearrange -7*j - 2*j**3 - 21*j - 5*j - 1 + 9*j**2 + 24*j - 7*j - 3*j**4 to m + v*j + b*j**4 + u*j**2 + n*j**3 and give b.
-3
Rearrange (d + d + 0*d)*(29*d + 31*d - 113*d) + 45*d - 45*d - 6*d**2 to y*d + v + t*d**2 and give t.
-112
Express (2*m + 0 + 0)*(-43*m**2 + 55*m**2 - 145*m**2) + 2*m + 4*m - 10*m**3 + 8*m**3 as g*m**3 + c + a*m**2 + d*m and give d.
6
Express (4*z + z + 3*z)*(894*z**2 - 876*z**2 - 937*z**2) in the form l*z**3 + j*z + n*z**2 + d and give l.
-7352
Express 4*h + h - 19 - 2*h**3 + 2*h**4 - 4*h + 2*h**2 + 8 + 4 in the form n*h**2 + f*h**3 + k + m*h**4 + i*h and give k.
-7
Express 58*j**2 - 38*j**3 + 9*j**3 - 189*j**2 + 64*j**2 + 46*j**2 - 2 as k + o*j + h*j**2 + b*j**3 and give b.
-29
Express 588*y + 3 + 0 + 1194*y + 88*y - 5 in the form n*y + h and give n.
1870
Rearrange -547*i**2 + 548*i**2 + 5*i + 160*i**3 - 321*i**3 + 163*i**3 - 40 to l + v*i**2 + f*i + p*i**3 and give v.
1
Express (0*f - f - f)*(-13 + 13 - 3*f + 4*f - 2*f - 4*f + (f + 0*f - 5*f)*(-1 + 3 - 4)) in the form c + k*f**2 + l*f and give k.
-6
Express -10932*y**2 + 2*y - 4891*y**2 - 4402*y**2 as x*y**2 + w*y + k and give k.
0
Express 7 + 1211*g - 5450*g + 1463*g + 1903*g as d*g + r and give d.
-873
Express 24238612*o + 2*o**2 - 24238612*o - 10112 in the form g*o**2 + n + f*o and give n.
-10112
Express -8*g + 2*g**3 + 0*g**3 - 16*g - 33*g**2 - 5*g + 14*g in the form y + t*g + o*g**3 + v*g**2 and give v.
-33
Rearrange -58 - 48*q + 4332*q**3 - 8659*q**3 + 4325*q**3 to s + h*q + w*q**3 + y*q**2 and give h.
-48
Rearrange (6*l + 16 - 16)*(3*l + 0*l - 5*l) + (-4*l + 3*l + 3*l)*(-30*l - 61*l + 409*l) to the form p*l**2 + a + s*l and give p.
624
Express 24 + 14 + 13*g**4 - g + 2*g - 26 - 6*g**4 in the form h*g**2 + z + l*g**4 + s*g + w*g**3 and give z.
12
Rearrange (-4*n**2 + 16*n**2 + 2*n**2)*(4 + 32 + 5) + (4*n - 4*n + 2*n**2)*(2 + 3 - 3) to b*n + l*n**2 + q and give b.
0
Express l**2 + 4550 - 53*l - 2279 - 2267 in the form i*l + d + m*l**2 and give m.
1
Express -96*t**2 - 664293*t - 160*t**2 + 664293*t in the form u*t**2 + g*t + r and give u.
-256
Rearrange (3213*h**2 + 5504*h**2 + 2422*h**2)*(3 - 5 + 0) to q + w*h**2 + o*h and give w.
-22278
Express (-16 - 50 + 38)*(-g - g + g) + 11 - 9 + 38*g + 79*g in the form d + s*g and give s.
145
Rearrange 43*t**4 - 6*t - 44*t**4 - 113*t**2 - 1 - 115*t**2 - t**3 - 1 + 4*t to the form w*t**3 + z*t + a*t**2 + c*t**4 + l and give l.
-2
Express (-2 + 2 - 1)*(2 - 2 + 2)*(-1 + 1 - u)*(124 - 415 + 49)*(-16 - 3 - 12) as b + n*u and give n.
15004
Rearrange 4603 - 671*g**2 - 3*g + 660*g**2 + g**3 - 4558 to j*g**2 + r*g**3 + a + q*g and give a.
45
Rearrange 5*q**4 - q**2 - 119 + 119 - 7*q**3 + 0*q**2 - 8*q - 3*q**4 to d*q**4 + x*q**2 + m*q**3 + z*q + r and give z.
-8
Rearrange -260*d - 214*d + 654*d - 7 to the form o*d + s and give o.
180
Rearrange -1030*d + 387*d - 965*d + 208*d - 860*d to k + s*d and give s.
-2260
Rearrange (0 + 1 + 0 + (3 - 4 + 3)*(3 - 5 + 3) - 3 + 0 + 5)*(258*j**2 + 127*j**2 - 193*j**2)*(-2*j - 2*j + j) to v*j**3 + k*j**2 + t + w*j and give v.
-2880
Express 3*s + 1297 - 650 + 0*s - 397 in the form x*s + a and give x.
3
Rearrange -1213*u**3 + 1215*u**3 - 63 - u - 4*u**2 + 2*u**2 to y*u + s + i*u**2 + f*u**3 and give f.
2
Express -540*c**2 + 529*c**2 - 3599 - 33*c + 3599 in the form i*c + k + x*c**2 and give x.
-11
Rearrange 3732*a**2 + 133 - 378*a**3 + 1479*a**2 + 377*a**3 + 2*a - 133 to q*a + i*a**2 + c*a**3 + p and give i.
5211
Rearrange 5*b**3 + 14*b - 17*b + 14*b**3 + 3*b**4 + 4 - 18*b**3 + 5*b**2 to x*b**3 + p*b**2 + z*b**4 + w + k*b and give k.
-3
Express -3*s**4 - 2*s**3 + 8318*s**2 - 16645*s**2 + 8333*s**2 - 35*s in the form l*s**2 + y + q*s**3 + n*s**4 + t*s and give n.
-3
Express -79 + 40 + r**3 + 57*r**2 - 2*r + 32 + 66*r**2 as z*r**3 + d*r**2 + u + s*r and give z.
1
Express (-3 + 0 + 4)*(-977*s - 920*s + 4066 + 1898*s) as i + y*s and give y.
1
Express (-8*n**2 + 35*n**2 + 60*n**2)*(n - 961 + 2159 - 880) as r*n**3 + h + y*n**2 + b*n and give r.
87
Express 4*i + 1 - i - 4*i + i**3 + 573*i**2 - 575*i**2 as t + y*i**2 + u*i + w*i**3 and give u.
-1
Express 14*y**4 + 8*y**4 + 11*y**4 - y + (-15*y**2 + 8*y**3 + 15*y**2)*(-3*y + 2*y - 4*y) in the form n*y**3 + x + b*y**2 + v*y**4 + h*y and give v.
-7
Express 5863*f + 1 + 0 - 1 - 5863*f + 1756*f**2 + (0*f**2 + 3*f**2 - f**2)*(-5 - 3 + 4) - f**2 + 0 + 0 as y*f + n*f**2 + q and give n.
1747
Rearrange -73 + 146 - 709 + h + 172 - 989 to z*h + i and give z.
1
Express 14*b**4 + 5*b**4 - 81*b**2 - 13 - 17*b**4 - 176*b + 174*b as z*b**2 + x*b + j*b**4 + w*b**3 + u and give z.
-81
Express (1326 - 429 - 525)*(-l + 2*l + 4*l) in the form o + r*l and give r.
1860
Rearrange 26 + 69*h - 4 - 29 + 30*h to f + v*h and give v.
99
Express 45275 - 45275 + 10936*k in the form b*k + g and give b.
10936
Rearrange (-6*w - 754 + 378 + 379)*(-2 + 4 - 4 + (3 - 5 + 0)*(-4 + 4 + 5) + 1 + 1 + 5) to the form s*w + d and give s.
30
Rearrange -3685*c + 17382*c - 7942*c to the form j*c + v and give j.
5755
Express 3*g**2 + 12*g**2 - 10*g**2 - g + 1 + 4*g**2 + 13*g**4 - 11*g**2 + 3*g**3 as y + z*g + d*g**3 + c*g**2 + u*g**4 and give c.
-2
Express -9*g**2 - 5*g**2 + 449 - 3*g**2 + 16*g**2 as i*g + s*g**2 + r and give s.
-1
Express (-j + 7 - 7)*(-2 + 2 - j**2) - j**3 + j**3 + j**3 - 671*j**3 - 17504*j**2 + 17504*j**2 as h + s*j**2 + n*j**3 + q*j and give n.
-669
Express -42*x - 55*x + 33*x + (31 - 11 + 18)*(-3*x + 3*x + 4*x) - 2*x + 0*x + 3*x as i*x + o and give i.
89
Express -2*u**3 - 10*u**2 - u**4 - 3 - 166*u + 3 - 140*u + 2 + 393*u in the form a*u**2 + v*u**4 + c + j*u + h*u**3 and give v.
-1
Express -d + 3980*d**3 - 2*d**2 + 3981*d**3 + 21 - 7960*d**3 in the form y + r*d**3 + t*d + k*d**2 and give y.
21
Rearrange 1193*t**2 - 5 - 1530*t**2 + 4427*t**2 + 3 to the form v + o*t + y*t**2 and give v.
-2
Rearrange (-3*a - a + 2*a)*(0 + 0 - 2) + 2*a - 4*a + a + 0*a - 3*a + 2*a + 2*a + 11*a - 12*a + (-8 - 1 + 4)*(a - 2*a + 3*a) to j + w*a and give w.
-7
Rearrange 311*q**2 - 2547*q**2 + 5335*q**2 to the form x*q**2 + h + u*q and give x.
3099
Rearrange (696*q**2 + 520*q**2 + 83*q**2)*((1 - 5 + 3)*(4 + 0 - 2) + (1 - 1 + 7)*(-1 - 3 + 2)) to the form y + c*q + z*q**2 and give z.
-20784
Express -r + 4*r - r + (22 - 5 + 7)*(-10*r + 13*r + 33*r) as f + s*r and give s.
866
Express (66 - 462 + 154)*(-22*z**4 - z**4 - 113*z**4) in the form v*z**4 + x*z + s*z**3 + u*z**2 + r and give v.
32912
Express ((-2 - 1 + 4)*(-1 + 5 - 3) - 4 + 1 + 1)*(62868*o**3 - 125271*o**3 + 63171*o**3 + 6) in the form b + u*o + a*o**2 + f*o**3 and give b.
-6
Express (96 - 51*r - 96)*(-2*r + 2*r + 3*r) + (-2*r + 0 + 0)*(-2 - 4*r + 2) - 28*r**2 - 16*r + 26*r - 10*r in the form d*r + v + i*r**2 and give i.
-173
Express 5275 + 0*q + 0*q + 5277 - 23*q**2 - 10575 in the form p*q + y*q**2 + s and give s.
-23
Express -o + 46 + 2 - 91 + 387*o**2 + 43 as d*o**2 + v*o + s and give d.
387
Rearrange 2 + 35*d**2 + 132*d - 36*d**2 - d**2 to the form p*d**2 + w + c*d and give p.
-2
Express 8 - 6*q - q**3 + 30327*q**2 + 9*q - q**4 - 30329*q**2 as s*q**3 + c*q**2 + l*q**4 + y + m*q and give l.
-1
Express (3 - 3 - 1)*(25 - 19 + 26)*(2 + 4 - 1)*(-24*b**3 - 17*b**3 + 6*b**3) as c*b + s + u*b**3 + z*b**2 and give u.
5600
Rearrange (-3*k + 34*k - 21*k + (-1 + 13 - 1)*(4*k - k - k))*(4*k + k - 3*k) to the form c*k**2 + t*k + w and give c.
64
Express -13*m - 3*m**2 + 4*m**3 - 1399333 + 1399333 - 3*m**3 - m**4 as c*m**3 + t + f*m + p*m**2 + u*m**4 and give t.
0
Rearrange 0 - 2*p**2 - p + 6 - 16122*p**4 + 8171*p**4 + 8154*p**4 | {
"pile_set_name": "DM Mathematics"
} |
60*q - 68*q for q.
-1
Solve -792*a = -800*a - 56 for a.
-7
Solve t = -47 + 44 for t.
-3
Solve -3 = 2*x - 7 for x.
2
Solve 0 = 7*z + 8 + 6 for z.
-2
Solve -14*j = 3*j - 17 for j.
1
Solve 0 = -11*g + 4*g - 35 for g.
-5
Solve 5*o = -27 - 3 for o.
-6
Solve -3*r - 6*r = -7*r for r.
0
Solve -8*u + 148 = 156 for u.
-1
Solve 2 = r + 5 for r.
-3
Solve -11*x + 102 = -28*x for x.
-6
Solve -74 + 46 = -4*c for c.
7
Solve 0 = -192*x + 185*x + 56 for x.
8
Solve 152*s - 25 = -785 for s.
-5
Solve -42*g = -127*g - 340 for g.
-4
Solve 0 = -16*c - c for c.
0
Solve 2*u + 55 - 51 = 0 for u.
-2
Solve -19*v + 5 = -14*v for v.
1
Solve 0 = 7*r - 13*r + 30 for r.
5
Solve 13*d - 30 = -4 for d.
2
Solve 2*d - 1 + 13 = 0 for d.
-6
Solve -11*q - 40 = -73 for q.
3
Solve 460 = 2*s + 448 for s.
6
Solve 8*r - 83 = -27 for r.
7
Solve 58*v + 156 = -134 for v.
-5
Solve 16*r = 24 - 104 for r.
-5
Solve 91 - 40 = -17*f for f.
-3
Solve 10*r = 2*r for r.
0
Solve 48 = -8*j + 20*j for j.
4
Solve -279*w = -226*w - 424 for w.
8
Solve -1923*j + 1950*j = 27 for j.
1
Solve 0 = 2*n + 72*n + 222 for n.
-3
Solve 0 = 59*y + 2*y for y.
0
Solve m = -7*m + 8 for m.
1
Solve -9 + 19 = 5*w for w.
2
Solve 30*l + 6 = 28*l for l.
-3
Solve 5*z + 3*z = -2*z for z.
0
Solve -11*o + 14*o + 6 = 0 for o.
-2
Solve -11*w + 38 - 5 = 0 for w.
3
Solve 330*c = 317*c - 26 for c.
-2
Solve 6*t - 24 = -0*t for t.
4
Solve 25 - 5 = 2*h for h.
10
Solve -74 - 4 = -13*d for d.
6
Solve 16*l - 78 = 2 for l.
5
Solve 137*k = 105*k + 64 for k.
2
Solve -99*c + 7 = -92*c for c.
1
Solve -9*l + 47 = 29 for l.
2
Solve 0 = -p - 55 + 58 for p.
3
Solve 2*h = 13 - 3 for h.
5
Solve -2*h + 8 = -0*h for h.
4
Solve 0 = -4373*y + 4392*y + 133 for y.
-7
Solve -6*f + 7 + 11 = 0 for f.
3
Solve -9*o = 14*o - 138 for o.
6
Solve -8 = 2*j + 2*j for j.
-2
Solve -30*r - 102 = 18 for r.
-4
Solve 928 = 5*w + 933 for w.
-1
Solve l - 6 = -2 for l.
4
Solve 12*a = 3*a - 27 for a.
-3
Solve 0 = 26*n - 1 + 183 for n.
-7
Solve -16 = -y - 17 for y.
-1
Solve -4*n - 17 - 3 = 0 for n.
-5
Solve -7*z + 4 = -17 for z.
3
Solve 0 = 30*c - 6*c - 15*c for c.
0
Solve 547*g - 551*g - 24 = 0 for g.
-6
Solve 6*q = 3*q + 6 for q.
2
Solve -7*i - 20 + 13 = 0 for i.
-1
Solve 1 = -7*b + 8*b for b.
1
Solve -147 - 69 = 36*n for n.
-6
Solve -62 = 37*q - 247 for q.
5
Solve -7 + 7 = 5*q for q.
0
Solve -13*o + 25*o + 60 = 0 for o.
-5
Solve 86 = 8*t + 150 for t.
-8
Solve -4 = -311*k + 315*k for k.
-1
Solve u = 4*u for u.
0
Solve 2*l - 30 = -30 for l.
0
Solve 0 = 5*w + 2*w - 21 for w.
3
Solve -144 = -7*p - 179 for p.
-5
Solve 81 = -13*d + 16 for d.
-5
Solve -33*f = 236 + 61 for f.
-9
Solve 3*u = -2*u - 20 for u.
-4
Solve -282 = -10*q - 332 for q.
-5
Solve 8*b - 20 = 18*b for b.
-2
Solve -82*g = -86*g + 12 for g.
3
Solve -46*y + 30*y + 160 = 0 for y.
10
Solve 37*q + 120 = 61*q for q.
5
Solve 4*l + 14 - 26 = 0 for l.
3
Solve 0 = 5*g + 5 + 10 for g.
-3
Solve 2018 = 14*o + 1990 for o.
2
Solve -124 - 44 = -42*f for f.
4
Solve -171 = 6*n - 213 for n.
7
Solve 18*b + 12*b + 120 = 0 for b.
-4
Solve 6*o - 276 = -264 for o.
2
Solve 10*a - 377 = -367 for a.
1
Solve 868*x + 104 = 855*x for x.
-8
Solve 2 = 110*u - 112*u for u.
-1
Solve 9 = -3*h + 9 for h.
0
Solve 40 = 6*g + 2*g for g.
5
Solve -5*l + 2 = -13 for l.
3
Solve 18*h = -1129 + 1039 for h.
-5
Solve 0 = -6*p + 12*p - 30 for p.
5
Solve 19*h + 2693 - 2560 = 0 for h.
-7
Solve 0 = 5*v - 32 + 7 for v.
5
Solve -3*a + 12 - 6 = 0 for a.
2
Solve -2*q + 8*q = 6 for q.
1
Solve 22 = -4*x + 26 for x.
1
Solve 6*p - 174 = -23*p for p.
6
Solve -94 = 12*q - 34 for q.
-5
Solve p - 25 = -4*p for p.
5
Solve 4*h = -3 + 15 for h.
3
Solve 16 = -9*z + 5*z for z.
-4
Solve -5*x = -4*x + 4 for x.
-4
Solve -193*t = -191*t + 4 for t.
-2
Solve 5200*l = 5212*l - 48 for l.
4
Solve 201*n - 178*n = 92 for n.
4
Solve -3 - 21 = -8*a for a.
3
Solve -11*d = -17*d - 24 for d.
-4
Solve 44*m - 20*m = 24 for m.
1
Solve -4*w = -2 + 10 for w.
-2
Solve -24*j - 11 = -13*j for j.
-1
Solve 2023 - 2035 = -2*q for q.
6
Solve -593 = 42*t - 215 for t.
-9
Solve -3*o + 9 - 3 = 0 for o.
2
Solve -11*o = -5*o for o.
0
Solve 51 - 7 = 11*u for u.
4
Solve 34*x + 966 = 1340 for x.
11
Solve 9*w + 35 = -10 for w.
-5
Solve -5*t + 10*t - 25 = 0 for t.
5
Solve -13*g + 8*g = 25 for g.
-5
Solve -95 = -25*g - 20 for g.
3
Solve -6*s = -2*s - 12 for s.
3
Solve 2*b - 101 = -93 for b.
4
Solve -2*r - 15 + 9 = 0 for r.
-3
Solve 47*x - 63 = -204 for x.
-3
Solve 6*x = 12*x - 6 for x.
1
Solve -2*d + 11 = 21 for d.
-5
Solve -y - 3 = -0 for y.
-3
Solve -822 = -g - 826 for g.
-4
Solve -j - 15 + 9 = 0 for j.
-6
Solve -6*t - 6 + 0 = 0 for t.
-1
Solve 328 = -15*h + 358 for h.
2
Solve -13*m - 63 + 11 = 0 for m.
-4
Solve -90 = 3*c - 99 for c.
3
Solve 16*q = 10*q - 6 for q.
-1
Solve 1 = 2*c - 9 for c.
5
Solve 0 = 19*a - 36*a + 17 for a.
1
Solve -63 = n - 68 for n.
5
Solve -44*t + 32 = -36*t for t.
4
Solve 7*p = -1134 + 1204 for p.
10
Solve 3*a + 238 = 247 for a.
3
Solve -17*l = 49 + 19 for l.
-4
Solve 0 = -d - 66 + 61 for d.
-5
Solve 0 = -32*s + 30*s + 8 for s.
4
Solve -67 + 4 = -9*d for d.
7
Solve 0 = s + 4*s + 15 for s.
-3
Solve 115 + 193 = -28*j for j.
-11
Solve -82*z = -80*z - 2 for z.
1
Solve 72 = -20*f + 12 for f.
-3
Solve 2 = -72*t + 70*t for t.
-1
Solve 0 = -28*x + 179*x - 755 for x.
5
Solve 13*m = 10*m + 12 for m.
4
Solve 200 = 58*u - 18*u for u.
5
Solve -9*f - 75 = -156 for f.
9
Solve -332*i + 95 = -351*i for i.
-5
Solve -2*v - 3*v = -20 for v.
4
Solve 9*y + 8 = 7*y for y.
-4
Solve 0 = 24*q - 21*q - 3 for q.
1
Solve -8*r + 54 - 62 = 0 for r.
-1
Solve -109 - 107 = 36*o for o.
-6
Solve 2681*o - 15 = 2686*o for o.
-3
Solve -5*d = -8*d - 6*d for d.
0
Solve 7*a - 12*a = 10 for a.
-2
Solve 0 = 13*q - 37*q - 144 for q.
-6
Solve -47 = -s - 44 for s.
3
Solve 13*r = -41 + 15 for r.
-2
Solve 36 = 16*v - 12 for v.
3
Solve 0 = 53*q - 53 + 212 for q.
-3
Solve 674*l = 678*l + 36 for l.
-9
Solve -44 + 32 = -2*y for y.
6
Solve -7*l - 2*l - 8*l = 0 for l.
0
Solve -6 - 9 = 5*u for u.
-3
Solve 14*v - 443 = -443 for v.
0
Solve 5*r = 11 - 16 for r.
-1
Solve -45 = -215*u + 200*u for u.
3
Solve 31*v - 117 = -86 for v.
1
Solve -9*i + 48 = 15*i for i.
2
Solve 161*b = 112*b - 196 for b.
-4
Solve -8 = 7*u - 22 for u.
2
Solve 482 - 447 = 5*r for r.
7
Solve 16 - 44 = 7*t for t.
-4
Solve 16*x = 22*x - 12 for x.
2
Solve -19*v = -6*v for v.
0
Solve -6*m - 22 = 8 for m.
-5
Solve 5*k - 11 - 9 = 0 for k.
4
Solve -7*l = -9*l + 8 for l.
4
Solve 0 = -4*l + 2*l for l.
0
Solve -5*m = 1 - 11 for m.
2
Solve 78*a - 70*a = 64 for a.
8
Solve 11*z = -463 + 562 for z.
9
Solve 60*n - 42 + 462 = 0 for n.
-7
Solve 0 = -40*q + 14*q + 78 for q.
3
Solve 8*o + 41 = 49 for o.
1
Solve 558*n - 553*n + 35 = 0 for n.
-7
Solve d - 14*d = 0 for d.
0
Solve -66 - 4 = 14*t for t.
-5
Solve 0 = -a + 3*a - 2 for a.
1
Solve -28 = 737*x - 744*x for x.
4
Solve 25*x = 19*x + 6 for x.
1
Solve -96 = 6*d + 26*d for d.
-3
Solve -5*p + 11*p - 18 = 0 for p.
3
Solve 8 = -4*w - 0 for w.
-2
Solve -7*h = -19*h - 48 for h.
-4
Solve -11*a + 16*a - 5 = 0 for a.
1
Solve -1359*z + 1369*z + 70 = 0 for z.
-7
Solve -23*j - 3*j = 130 for j.
-5
Solve 0 = 3356*v - 3369*v - 91 for v.
-7
Solve -127 = 6*n - 133 for n.
1
Solve -32 + 61 = 29*m for m.
1
Solve 0 = 7*y + 3*y - 50 for y.
5
Solve -15 + 17 = -w for w.
-2
Solve 7*l + 40 = -16 for l.
-8
Solve -15*h + 9*h + 18 = 0 for h.
3
Solve -872*n + 20 = -852*n for n.
1
Solve 27*c - 17*c = 20 for c.
2
Solve 0 = -48*f + 16*f - 128 for f.
-4
Solve -2*m = m - 9 for m.
3
Solve -6*d = -10*d + 5*d for d.
0
Solve 0 = -319*a + 358*a - 156 for a.
4
Solve -215*v + 214*v = -1 for v.
1
Solve 4*n + 10 = 2*n for n.
-5
Solve -75*t - 523 = 227 for t.
-10
Solve -h + 6 = 5*h for h.
1
Solve -4*g = 4*g - 14*g for g.
0
Solve 0 = 50*n + 10*n - 240 for n.
4
Solve 7*m + 42 = 63 for m.
3
Solve 15*a + 5 = 10*a for a.
-1
Solve -20 = -53*c + 49*c for c.
5
Solve -1115*t = -1121*t - 12 for t.
-2
Solve -6*d = 9*d - 15 for d.
1
Solve -l + 559 = 555 for l.
4
Solve -2*k + 0 + 6 = 0 for k.
3
Solve 4*f - 19 = 5 for f.
6
Solve 0*g + 6*g = 0 for g.
0
Solve -27*v + 36 = -18*v for v.
4
Solve 0 = -d + 15 - 19 for d.
-4
Solve 31*c - 275 = -89 for c.
6
Solve 121*c = 128*c + 42 for c.
-6
Solve -7*c = -6*c + 2 for c.
-2
Solve -16*x + 20 = -21*x for x.
-4
Solve 15*w + 81 - 141 = 0 for w.
4
Solve 289 = 35*x + 184 f | {
"pile_set_name": "DM Mathematics"
} |
et m be 14/49 + (-12)/(-7). Suppose -5*s - m*i - 2*i = -6949, 1401 = s - 2*i. Is s composite?
True
Let l be ((4 + 0 + -4)/(-2))/(-1). Suppose 2*t - 14 = -2*d + 28, d - 5*t + 9 = l. Suppose -3856 = 8*w - d*w. Is w composite?
True
Let s be (-51)/(-6)*(308 + 0 + 2). Suppose 8*i = -9*i + s. Is i prime?
False
Let m(h) = 2114*h**2 + 41*h + 19. Is m(-4) a prime number?
True
Is (-499252)/(-208)*140/5 prime?
False
Let r(f) = 8*f**2 + 32*f + 49. Suppose -b = 210 - 196. Is r(b) composite?
True
Suppose -j = -4*j - 198576. Let y be (1 + 0)*-3 + j/(-21). Suppose -f - 1152 = -h, 0 = 3*h - 4*f - 308 - y. Is h a prime number?
True
Suppose -35*n - 9*n = 17*n - 22396943. Is n a prime number?
True
Let z(c) = -c**3 + 7*c**2 - c - 21. Let r be z(5). Suppose -3*t + 36 = r. Suppose -15548 = -4*w + t*k, -3*w - 3*k + 11641 = -k. Is w a prime number?
False
Let k = 598 + -582. Suppose -k*z - 185321 = -63*z. Is z composite?
False
Let r = 2549 + -9152. Let i = r - -10202. Is i prime?
False
Let h(w) = -13*w**3 + 23*w**2 + 44*w + 109. Is h(-17) a composite number?
False
Let v(s) = -5*s**2 - 6*s - 1. Let c be v(-6). Let l = c - -149. Let g(o) = 35*o**3 + o**2 - 6*o - 1. Is g(l) a prime number?
False
Suppose 57*i + 213*i = 39*i + 200739. Is i prime?
False
Suppose 400*h = 604*h - 118675572. Is h composite?
False
Suppose 4*m + 2*y = 86862, -38*m + 37*m - 4*y = -21733. Is m composite?
False
Let v(z) = 8*z**3 + 30*z**2 + 425*z + 80. Is v(41) a composite number?
False
Let m(c) = c**3 + 30*c**2 + 58*c + 62. Let t be m(-28). Let h(l) = 7*l**3 + 8*l**2 + 12*l - 73. Is h(t) a composite number?
True
Let g = 366609 + -236342. Is g prime?
True
Is (30 - (-48466671)/527) + 2/(-17) prime?
True
Let s = -5882 + 121425. Is s composite?
True
Let q = 150022 - 100925. Is q a composite number?
True
Let w = 65789 + -31446. Is w composite?
True
Let y(j) = 1544*j + 3569. Is y(36) composite?
True
Let c be (-4)/2 + 5 - 3. Suppose c = -0*t + 7*t. Suppose t = z - 25 + 4. Is z prime?
False
Let a(k) = 395*k**2 + 83*k + 551. Is a(-18) composite?
False
Let o = -230723 + 332074. Suppose 40*b + 25311 = o. Is b a composite number?
False
Suppose -3*q + 3 + 3 = 0. Suppose -5*b + 64 = -3*x - 76, 5*x - 25 = -2*b. Is (-5)/(b/(-1885)) + q composite?
False
Suppose -5*u - 8 = -3, 5*i - 3*u = -337. Is (16120 - 2)/(i/(-34)) composite?
False
Suppose 0*m = 4*m - 180. Suppose -14*u - m = -9*u. Let f(h) = 9*h**2 + 15*h + 19. Is f(u) composite?
False
Let h(u) = 4*u**2 - 10*u - 20. Let o be h(-25). Suppose 0 = -4*f + f + 5*p + 2690, o = 3*f + 3*p. Is f prime?
False
Let n(i) = -3*i - 37. Let y be n(-16). Suppose 2*q = 4*r - 26, -y*r - 5*q = -10*r - 12. Suppose r*z = -0*z + 9289. Is z a composite number?
False
Let z be (-1)/5*(-10)/4*4. Suppose 2*t + 1430 = 3*h - 4*h, -2*t - 1432 = z*h. Is (1*4)/2*t/(-12) composite?
True
Suppose 291*k - 102832070 = -33916577. Is k composite?
True
Let s be (3337*5/(-15))/((-1)/(-105)). Is s/(-20) - (-27)/(-36) a composite number?
False
Let x be (-31002)/(-10) + (-9)/45. Suppose -r = -4*q + 3*r - x, q + 781 = -r. Is (-12)/4*q/6 a composite number?
False
Let f(c) = 1159*c + 633361. Is f(0) a prime number?
False
Suppose 0 = 16*d - 25*d + 63. Suppose -6*q - a = -d*q + 1319, 0 = 2*q + 3*a - 2628. Suppose -z - q = -5150. Is z composite?
False
Let g = 85911 - 27928. Is g composite?
True
Let r(j) = -461*j**3 + 3*j**2 - 2*j - 3. Let c be r(-5). Suppose 12*f - c = -f. Is f prime?
False
Suppose 5*l = l + 12. Let x(q) = 46 + q - 529*q**l + 25*q**3 - 46. Is x(-1) composite?
False
Suppose 89*u = 71*u + 1893798. Is u prime?
True
Let f(b) = -901*b**3 + 16*b**2 + 71*b - 1. Is f(-4) a composite number?
True
Let d = -59900 + 86457. Is d a prime number?
True
Let v(q) = 13*q**3 - q**2 - 9*q - 2. Let u be v(5). Let r = u - -6776. Is r a composite number?
False
Let k be (-6)/(-5)*(-1 - 12/8). Let i(u) = u**2 + 4*u + 8. Let x be i(k). Is 331*2/x*5/2 composite?
False
Let j = -19185 - -49942. Is j prime?
True
Is 38/(-133) + 944607/21 a prime number?
False
Let g = -19 + 24. Suppose 3*l - 5 + 14 = -4*w, -15 = -5*w + g*l. Suppose 4*c - 7*c + 357 = w. Is c composite?
True
Let i = -81 + 98. Suppose -5560 = -i*o + 19*o. Let a = o - -7033. Is a prime?
True
Suppose -7*x = -10*x - 3. Let h be (10 - 3) + -2 + x. Suppose 0*w + 1339 = h*m + 3*w, -2*m = 4*w - 662. Is m a prime number?
True
Let z(s) = -4 - 3*s - 1426*s**2 - 7 - 2 + 1475*s**2. Let b(t) = -2*t**3 - 3*t**2 + 2. Let v be b(-2). Is z(v) a prime number?
True
Let h = -24 - -26. Suppose 8 = -h*a, -a = 2*d + 3*a - 630. Suppose -4*z - k + 645 = 0, 0*k = -2*z - k + d. Is z prime?
False
Suppose -f = -4*z - 46820, z = -0*z - 6*f - 11680. Let y = 22341 + z. Is y a prime number?
False
Let w(h) = 15*h - 10. Let q be w(-7). Let m = q + 893. Suppose n = -n + m. Is n a prime number?
True
Suppose -106*g + 2312957 + 423984 = -889425. Is g a composite number?
False
Let m(g) = -2*g**3 - g**2 + 2*g + 7. Let u be m(0). Suppose 0 = -3*d - d + 20, 0 = -3*r + 2*d - u. Suppose 16 = s + r. Is s a prime number?
False
Suppose -214*r - 36*r = -13687750. Is r prime?
True
Suppose 111*y - 57700580 = -12*y - 17*y. Is y a prime number?
True
Is ((-36)/54)/((-78)/(-9)) + (-17142244)/(-26) prime?
True
Let n(h) = -108*h + 22. Let f be n(-5). Let w = f - 291. Is w a composite number?
False
Suppose -110 = -8*c + 10. Let a(w) = 20*w**2 - 20*w + 11. Is a(c) composite?
False
Suppose 5071 = 8*r - 4297. Suppose 3*g + 4*z - r = 0, -3*g = 3*z - 401 - 775. Is g a composite number?
False
Let c(s) = -2*s + 9 - 3*s**3 + 0*s**2 + 15*s**2 + 5*s + s. Let i be c(-11). Suppose 4*g - i = 3*f, 2*g + 1959 = f + 4844. Is g prime?
False
Suppose s - 16 = -11, -4*m + 3*s = -205517. Is m composite?
False
Suppose -24*g + 6*g = 184752. Let o = g + 30935. Is o prime?
False
Let g(l) = -52*l + 64. Let w be g(-28). Let q = 4477 - w. Is q composite?
False
Let q = 125470 - -8883. Is q a prime number?
True
Let n(o) = 2*o**2 + 86*o - 235. Is n(-91) a prime number?
True
Let o(j) = -31*j + 39. Let g(d) = -3*d**2 - 3*d + 2. Suppose 7*q - 6 = 8. Let p be g(q). Is o(p) composite?
True
Let l(t) = 85*t + 10. Let i be l(-8). Let x be 1002 - 2*(-15)/6. Let w = x + i. Is w a composite number?
False
Suppose 3*h - 329287 = -3*t - h, 219524 = 2*t + 3*h. Suppose 4*v = 2*v - 5*n - t, 5*v = -n - 274401. Is 1/(-5) + v/(-25) prime?
False
Suppose x - 1485 = 2*j, 4*x + 0*j - 5976 = -j. Suppose 0 = -4*z - x - 10847. Let k = z + 6350. Is k prime?
False
Let b(u) = -2*u + 14. Let p be b(-5). Is 138968/p - 2/(-3) prime?
True
Suppose 3*i + 71984 = 5*n, 4*n - 40415 = 3*i + 17171. Suppose -2*w + n = -3844. Is w composite?
True
Suppose 0 = 5*m - f - 349239, 129*m - 124*m - 349247 = 3*f. Is m prime?
True
Let x(c) = -387*c**2 - 2*c. Suppose -26*z + 35 = -31*z. Let m(k) = 773*k**2 + 5*k - 1. Let w(o) = z*x(o) - 3*m(o). Is w(2) a composite number?
True
Suppose -55*b + 133*b - 1925369 = 61*b. Is b a prime number?
False
Let o(f) = f**3 - 25*f**2 + 24*f - 9. Let v be o(24). Is (489/v)/(3 + (-118)/39) a composite number?
True
Let p(c) = -4*c - c + 17 + 111*c**3 - 113*c**3 + 8 - 7*c**2. Let k(x) = -x**2 - 13*x + 6. Let z be k(-14). Is p(z) a composite number?
False
Suppose 4*o = 2 - 34. Let d(l) = -l**2 - 1. Let f(z) = -2*z**2 + 6*z + 29. Let b(m) = -6*d(m) - f(m). Is b(o) prime?
False
Let o = 152 - 149. Suppose 0 = d + 2*v - 405, -d + 72 = -o*v - 308. Is d a prime number?
False
Let d(p) = -p**3 + 3*p**2 + 4*p - 7. Suppose k + s = 8, -s + 20 = 5*k - 0. Let i be d(k). Suppose -844 = -i*v + 10821. Is v composite?
False
Let k = 1352 - -3153. Suppose 1087 = 4*q - k. Suppose -q = -5*v + 3*v. Is v composite?
True
Suppose 5*i + 148 = i. Let h(r) = -r**3 + 27*r**2 + 35*r + 46. Let a be h(28). Let v = i + a. Is v prime?
False
Suppose -288 = -7*k - 5*k. Is (51/k - 2) + (-198094)/(-16) composite?
True
Suppose 4*q - 21018 - 86966 = 0. Suppose 0 = 17*g - 435149 - q. Is g a prime number?
False
Suppose v - 5*z = -3*v + 47733, -5*z + 59700 = 5*v. Let m = v - 6586. Is m a composite number?
False
Suppose n - 4*n + 47 = -4*l, 0 = n - 2*l - 19. Suppose 8*p + p - n = 0. Is ((-2 + 1)/p)/((-14)/1148) composite?
True
Let c be ((-36)/(-15) - 4)/((-2)/(-5)). Is 5 + 4*((c - -4) + 38) a prime number?
True
Let m be (10/(-7))/(12/(-42)). Suppose -2*i + 19 = 2*r + 3*i, 0 = -4*r - m*i + 23. Suppose -5*d = 4*v | {
"pile_set_name": "DM Mathematics"
} |
prob of picking 1 l and 3 f?
0
Four letters picked without replacement from {r: 4, g: 5, e: 8}. Give prob of picking 1 g and 3 r.
1/119
What is prob of picking 1 n and 1 o when two letters picked without replacement from {s: 2, n: 2, o: 1}?
1/5
What is prob of picking 1 v, 1 m, and 1 p when three letters picked without replacement from {v: 2, q: 1, p: 2, m: 1}?
1/5
Calculate prob of picking 1 w and 1 q when two letters picked without replacement from wvqqvvwvqvwvvwq.
16/105
What is prob of picking 1 y and 1 x when two letters picked without replacement from sxsxsysxysssy?
3/26
Three letters picked without replacement from {q: 7, k: 1}. What is prob of picking 3 q?
5/8
Four letters picked without replacement from uvuuvuuululllluluuul. What is prob of picking 2 u and 2 l?
77/323
What is prob of picking 4 g when four letters picked without replacement from ffffffgfgfffgffgff?
1/3060
Two letters picked without replacement from ralrrrajaljjjrjlrlr. Give prob of picking 1 a and 1 j.
5/57
What is prob of picking 1 z, 1 q, and 2 t when four letters picked without replacement from zztqqttzztzqtztzzt?
14/85
Four letters picked without replacement from {i: 2, z: 2, g: 7}. What is prob of picking 3 g and 1 i?
7/33
Two letters picked without replacement from {o: 1, h: 2, f: 2, l: 1, t: 1}. Give prob of picking 1 f and 1 h.
4/21
Three letters picked without replacement from jkjkxiikkkjjk. Give prob of picking 1 j and 2 i.
2/143
Calculate prob of picking 1 g and 1 w when two letters picked without replacement from {w: 1, o: 1, g: 3, n: 5}.
1/15
Calculate prob of picking 2 n, 1 m, and 1 f when four letters picked without replacement from ofjmnmni.
1/35
Two letters picked without replacement from {n: 4, z: 1, k: 2, y: 2}. What is prob of picking 1 z and 1 k?
1/18
Three letters picked without replacement from {b: 1, h: 1, j: 2, s: 2}. What is prob of picking 2 j and 1 b?
1/20
Calculate prob of picking 4 w when four letters picked without replacement from {l: 15, w: 5}.
1/969
Four letters picked without replacement from jjjjpjppggppjjpppj. What is prob of picking 4 j?
7/306
Two letters picked without replacement from hxmoxqqobbhx. What is prob of picking 1 q and 1 m?
1/33
What is prob of picking 2 f when two letters picked without replacement from {r: 3, f: 12}?
22/35
Two letters picked without replacement from njtnjcttcttnjtn. Give prob of picking 1 j and 1 c.
2/35
Three letters picked without replacement from lyyly. Give prob of picking 2 y and 1 l.
3/5
Calculate prob of picking 1 m, 1 f, 1 d, and 1 v when four letters picked without replacement from {d: 1, g: 10, m: 2, f: 2, v: 1}.
1/455
Two letters picked without replacement from {z: 3, m: 3, p: 13, q: 1}. Give prob of picking 2 p.
39/95
What is prob of picking 1 z and 2 n when three letters picked without replacement from zzunznznzunnn?
75/286
What is prob of picking 2 d when two letters picked without replacement from udnuducduuuuuuuuuvuu?
3/190
Three letters picked without replacement from rqrqr. What is prob of picking 2 q and 1 r?
3/10
Four letters picked without replacement from {v: 5, k: 1, i: 4, g: 3, l: 1, h: 3}. Give prob of picking 1 g, 1 v, 1 h, and 1 l.
9/476
Two letters picked without replacement from {k: 3, f: 3}. Give prob of picking 2 f.
1/5
What is prob of picking 2 t when two letters picked without replacement from {i: 3, t: 12, e: 1}?
11/20
Calculate prob of picking 1 n and 3 q when four letters picked without replacement from {q: 4, n: 7}.
14/165
What is prob of picking 4 t when four letters picked without replacement from tttttttttttttttttttc?
4/5
Calculate prob of picking 2 m when two letters picked without replacement from rmrmrrrmrm.
2/15
Calculate prob of picking 1 v and 2 s when three letters picked without replacement from {r: 2, y: 5, s: 6, v: 1, m: 3, k: 2}.
5/323
What is prob of picking 1 w, 1 d, and 1 o when three letters picked without replacement from {d: 1, o: 3, k: 1, w: 7}?
21/220
What is prob of picking 1 e and 1 i when two letters picked without replacement from hppbpeibbwbw?
1/66
Three letters picked without replacement from {f: 3, q: 3, l: 3, g: 1}. Give prob of picking 1 q, 1 f, and 1 l.
9/40
What is prob of picking 1 r, 2 g, and 1 a when four letters picked without replacement from agjnajnrgnaona?
4/1001
What is prob of picking 1 y and 2 q when three letters picked without replacement from yqqyy?
3/10
Calculate prob of picking 1 r and 1 l when two letters picked without replacement from dlrcclccrccrcl.
9/91
What is prob of picking 2 p when two letters picked without replacement from tpvbtvvvvpvvvrtprpvt?
3/95
Calculate prob of picking 1 m and 1 q when two letters picked without replacement from rmmq.
1/3
What is prob of picking 1 g and 1 u when two letters picked without replacement from {g: 1, y: 1, u: 1, a: 1, b: 1}?
1/10
Calculate prob of picking 2 f when two letters picked without replacement from tddjjjtjjfdsjddft.
1/136
What is prob of picking 1 h and 1 o when two letters picked without replacement from {p: 3, o: 2, l: 2, k: 1, g: 3, h: 4}?
8/105
Calculate prob of picking 2 m when two letters picked without replacement from hxhmhhm.
1/21
Calculate prob of picking 2 f when two letters picked without replacement from ffresfeefyesfr.
10/91
Two letters picked without replacement from ooqwtwwqqoowwooqwo. What is prob of picking 1 t and 1 q?
4/153
What is prob of picking 1 z, 1 w, and 1 t when three letters picked without replacement from zotlpzowlowpozz?
8/455
What is prob of picking 2 o when two letters picked without replacement from {c: 12, o: 3}?
1/35
Three letters picked without replacement from {x: 5, p: 3, s: 3}. Give prob of picking 3 s.
1/165
Four letters picked without replacement from tbppxpbbttp. What is prob of picking 2 t and 2 p?
3/55
Three letters picked without replacement from kbkbbzzkzzbkkzz. Give prob of picking 3 z.
4/91
Calculate prob of picking 1 h and 1 f when two letters picked without replacement from ffhhaahhfhzfzfazfh.
4/17
Four letters picked without replacement from {h: 2, d: 3, l: 4, a: 4, x: 3}. Give prob of picking 1 x, 2 h, and 1 l.
3/455
Two letters picked without replacement from {o: 1, k: 2, f: 3, w: 1, t: 3}. What is prob of picking 1 w and 1 f?
1/15
Four letters picked without replacement from {g: 1, x: 5, n: 4}. What is prob of picking 1 g and 3 n?
2/105
Two letters picked without replacement from yhhaacchyocochmaycya. Give prob of picking 1 m and 1 y.
2/95
What is prob of picking 1 p and 2 f when three letters picked without replacement from {m: 2, f: 7, p: 5}?
15/52
Calculate prob of picking 1 q and 1 u when two letters picked without replacement from qqikiiiskuqi.
1/22
Three letters picked without replacement from {u: 15, t: 4}. What is prob of picking 3 u?
455/969
Three letters picked without replacement from mmglg. What is prob of picking 1 l and 2 m?
1/10
What is prob of picking 1 z and 1 n when two letters picked without replacement from {z: 2, g: 13, n: 3, u: 2}?
3/95
Calculate prob of picking 1 z and 1 p when two letters picked without replacement from zzpzpzzwwwzwzz.
16/91
Four letters picked without replacement from pfpwfwpw. What is prob of picking 1 f and 3 p?
1/35
Four letters picked without replacement from {j: 2, c: 1, w: 7}. Give prob of picking 2 j and 2 w.
1/10
Three letters picked without replacement from {m: 4, h: 6, a: 7}. Give prob of picking 1 h and 2 m.
9/170
Three letters picked without replacement from {c: 4, m: 2, b: 9, p: 4}. What is prob of picking 3 b?
28/323
Calculate prob of picking 2 z when two letters picked without replacement from joozz.
1/10
Two letters picked without replacement from cccecec. Give prob of picking 2 e.
1/21
Calculate prob of picking 1 j and 1 q when two letters picked without replacement from qtjttjqttqtt.
1/11
Calculate prob of picking 1 j and 2 b when three letters picked without replacement from {d: 2, o: 4, b: 3, l: 3, j: 6}.
3/136
Two letters picked without replacement from {w: 1, c: 4, k: 5}. Give prob of picking 1 c and 1 k.
4/9
Four letters picked without replacement from {o: 1, e: 8, m: 3, a: 1, t: 1, s: 2}. Give prob of picking 1 o, 1 s, 1 m, and 1 e.
12/455
Calculate prob of picking 1 u and 1 y when two letters picked without replacement from yuluulul.
1/7 | {
"pile_set_name": "DM Mathematics"
} |
of 24275191?
7
What is the units digit of 23737149?
9
What is the hundreds digit of 2639253?
2
What is the millions digit of 1687400?
1
What is the ten thousands digit of 19785368?
8
What is the hundred thousands digit of 5068219?
0
What is the thousands digit of 464856?
4
What is the tens digit of 1432813?
1
What is the tens digit of 644612?
1
What is the units digit of 9953?
3
What is the thousands digit of 15709332?
9
What is the hundreds digit of 2760694?
6
What is the ten thousands digit of 20951525?
5
What is the ten thousands digit of 112442?
1
What is the thousands digit of 851768?
1
What is the tens digit of 41439645?
4
What is the ten thousands digit of 168618?
6
What is the tens digit of 316177?
7
What is the units digit of 148508?
8
What is the ten thousands digit of 74832?
7
What is the hundred thousands digit of 5298628?
2
What is the hundred thousands digit of 152285?
1
What is the tens digit of 126874?
7
What is the millions digit of 1698724?
1
What is the thousands digit of 31191086?
1
What is the tens digit of 1077296?
9
What is the millions digit of 11204929?
1
What is the hundred thousands digit of 170641?
1
What is the units digit of 766590?
0
What is the ten thousands digit of 22216211?
1
What is the tens digit of 161774?
7
What is the hundred thousands digit of 326179?
3
What is the ten millions digit of 26789020?
2
What is the hundred thousands digit of 482535?
4
What is the hundred thousands digit of 2172881?
1
What is the hundred thousands digit of 8908930?
9
What is the hundreds digit of 99918?
9
What is the units digit of 478543?
3
What is the units digit of 242564?
4
What is the hundred thousands digit of 1843013?
8
What is the tens digit of 18634656?
5
What is the hundreds digit of 603674?
6
What is the tens digit of 66415?
1
What is the tens digit of 399677?
7
What is the tens digit of 20027855?
5
What is the hundreds digit of 6723?
7
What is the thousands digit of 75978?
5
What is the hundred thousands digit of 2188399?
1
What is the thousands digit of 148774?
8
What is the hundred thousands digit of 260507?
2
What is the units digit of 444441?
1
What is the hundreds digit of 2217769?
7
What is the hundreds digit of 1181153?
1
What is the tens digit of 14731937?
3
What is the units digit of 6911104?
4
What is the units digit of 258819?
9
What is the hundred thousands digit of 6598007?
5
What is the thousands digit of 12001920?
1
What is the units digit of 8166083?
3
What is the units digit of 8901008?
8
What is the thousands digit of 148248?
8
What is the units digit of 1135573?
3
What is the hundred thousands digit of 492507?
4
What is the hundreds digit of 11963292?
2
What is the hundreds digit of 11096006?
0
What is the tens digit of 641502?
0
What is the thousands digit of 402491?
2
What is the tens digit of 1417028?
2
What is the units digit of 16555868?
8
What is the hundreds digit of 171342?
3
What is the tens digit of 26126?
2
What is the units digit of 33087705?
5
What is the units digit of 296800?
0
What is the thousands digit of 2282698?
2
What is the units digit of 16725861?
1
What is the ten thousands digit of 477924?
7
What is the hundreds digit of 2237023?
0
What is the units digit of 1850909?
9
What is the tens digit of 1777233?
3
What is the hundreds digit of 326711?
7
What is the ten thousands digit of 188715?
8
What is the hundred thousands digit of 9142885?
1
What is the thousands digit of 479486?
9
What is the ten thousands digit of 1148548?
4
What is the thousands digit of 188219?
8
What is the units digit of 403619?
9
What is the units digit of 93893?
3
What is the hundred thousands digit of 573199?
5
What is the ten thousands digit of 3911473?
1
What is the ten thousands digit of 1714739?
1
What is the units digit of 549484?
4
What is the ten thousands digit of 2869406?
6
What is the ten thousands digit of 2006926?
0
What is the tens digit of 57811?
1
What is the ten thousands digit of 703310?
0
What is the thousands digit of 11742319?
2
What is the ten thousands digit of 15994964?
9
What is the hundred thousands digit of 451952?
4
What is the tens digit of 94301?
0
What is the units digit of 220344?
4
What is the units digit of 3939800?
0
What is the units digit of 779493?
3
What is the tens digit of 333212?
1
What is the tens digit of 2078971?
7
What is the units digit of 280327?
7
What is the hundred thousands digit of 4079867?
0
What is the ten thousands digit of 10649414?
4
What is the ten thousands digit of 815558?
1
What is the thousands digit of 2519789?
9
What is the hundreds digit of 2588616?
6
What is the tens digit of 2128439?
3
What is the tens digit of 30996232?
3
What is the hundreds digit of 1275320?
3
What is the thousands digit of 4390283?
0
What is the hundred thousands digit of 7167308?
1
What is the units digit of 208895?
5
What is the hundreds digit of 84897?
8
What is the tens digit of 1245217?
1
What is the units digit of 1638948?
8
What is the thousands digit of 4474802?
4
What is the hundred thousands digit of 152774?
1
What is the ten thousands digit of 12487480?
8
What is the units digit of 293256?
6
What is the hundreds digit of 20576356?
3
What is the millions digit of 1098374?
1
What is the hundreds digit of 278027?
0
What is the hundred thousands digit of 126271?
1
What is the ten millions digit of 13623307?
1
What is the hundred thousands digit of 276839?
2
What is the ten millions digit of 15195041?
1
What is the units digit of 7375?
5
What is the millions digit of 2686601?
2
What is the thousands digit of 342094?
2
What is the thousands digit of 6861466?
1
What is the tens digit of 1070476?
7
What is the hundreds digit of 17205813?
8
What is the ten thousands digit of 323334?
2
What is the thousands digit of 87435?
7
What is the millions digit of 1381566?
1
What is the ten thousands digit of 304471?
0
What is the tens digit of 24890?
9
What is the hundred thousands digit of 321231?
3
What is the units digit of 251401?
1
What is the hundreds digit of 5803398?
3
What is the ten thousands digit of 99260?
9
What is the thousands digit of 21267?
1
What is the hundreds digit of 99321?
3
What is the thousands digit of 45606?
5
What is the tens digit of 123510?
1
What is the tens digit of 973884?
8
What is the millions digit of 11096258?
1
What is the millions digit of 3216351?
3
What is the units digit of 78896?
6
What is the hundreds digit of 2864866?
8
What is the tens digit of 4183601?
0
What is the hundreds digit of 958894?
8
What is the ten thousands digit of 573537?
7
What is the hundred thousands digit of 1312993?
3
What is the ten thousands digit of 2569776?
6
What is the tens digit of 135439?
3
What is the millions digit of 18936314?
8
What is the tens digit of 393068?
6
What is the ten thousands digit of 14053908?
5
What is the ten thousands digit of 87908?
8
What is the ten thousands digit of 5374388?
7
What is the thousands digit of 15137?
5
What is the thousands digit of 4651184?
1
What is the thousands digit of 292232?
2
What is the hundred thousands digit of 749749?
7
What is the tens digit of 12172641?
4
What is the hundred thousands digit of 975543?
9
What is the hundred thousands digit of 143097?
1
What is the units digit of 477501?
1
What is the hundred thousands digit of 3392488?
3
What is the hundreds digit of 122383?
3
What is the hundred thousands digit of 38160298?
1
What is the units digit of 268663?
3
What is the ten thousands digit of 1018649?
1
What is the thousands digit of 458307?
8
What is the hundred thousands digit of 18772215?
7
What is the thousands digit of 551391?
1
What is the units digit of 114243?
3
What is the hundred thousands digit of 7091509?
0
What is the hundreds digit of 915924?
9
What is the tens digit of 52954?
5
What is the tens digit of 280064?
6
What is the tens digit of 1290713?
1
What is the units digit of 636935?
5
What is the ten thousands digit of 704495?
0
What is the thousands digit of 364742?
4
What is the thousands digit of 310940?
0
What is the thousands digit of 11399499?
9
What is the tens digit of 44633?
3
What is the tens digit of 13947451?
5
What is the millions digit of 9252132?
9
What is the hundred thousands digit of 600955?
6
What is the tens digit of 1867375?
7
What is the units digit | {
"pile_set_name": "DM Mathematics"
} |
3000000
Suppose l = -i + 5, -5*l = -4*i - 0*l + 2. Let r be i/(15/55500001) + (-3)/15. What is r rounded to the nearest 1000000?
11000000
Let u = -616.96000028 + 616.95. Let n = -0.01 - u. Round n to 7 decimal places.
0.0000003
Let h = -169 + 207.6. Let c = h - -9.4. Let n = c + -48.00000076. Round n to seven decimal places.
-0.0000008
Suppose -15 = -3*a - 12. Let d be (58/(-3) + 4)/(a/240000). Round d to the nearest one hundred thousand.
-3700000
Suppose 0 = x + 14*g - 17*g + 115788, g - 115796 = x. What is x rounded to the nearest 1000?
-116000
Let p = 228 - 130. Let q = p + -297. Let a = q - -198.99999859. Round a to seven dps.
-0.0000014
Let o be -10 + 12 - (1 - 4). Suppose 0 = o*c - 0*c - 20. Suppose z - 190676 = -c*b + 209336, 3*z + 5*b = 1200015. Round z to the nearest 1000000.
0
Let y = 8.21 - 8.9. Let v = 17.91 - y. What is v rounded to the nearest integer?
19
Suppose 3*s + 5 = -2*t, -1 = s - 2. Let i be (-3 - t)/((-1)/(-200)). Suppose 0 = -2*d - 3*d + i. What is d rounded to the nearest 10?
40
Let j = 92 - 91.828. Let d = 0.17199769 - j. What is d rounded to seven decimal places?
-0.0000023
Let s be (4/(-40)*4)/(2/(-30)). Let g(n) = 32*n**3 + 4*n**2 - 17*n - 4. Let u be g(s). Round u to the nearest 1000.
7000
Let o = 7.07 - 7.06999549. Round o to 6 dps.
0.000005
Let o = -191.1 - -214. Let s = 0.406 + -42.606. Let f = o + s. What is f rounded to the nearest integer?
-19
Let o = -15.1 + 109.1. Let s = o - 94.000057. Round s to 5 decimal places.
-0.00006
Let q = 2223.994294 - 2224. What is q rounded to four decimal places?
-0.0057
Let k = 571.53 - 574. What is k rounded to one dp?
-2.5
Let h = 43.378416495 - 0.378419795. Let g = 43 - h. Round g to 6 dps.
0.000003
Let o be -7 + 2 + 2/(-2). Let g(q) be the second derivative of 236111*q**4/12 + 2*q**2 - q. Let a be g(o). What is a rounded to the nearest one million?
9000000
Let t = -8 + 7.99999906. Round t to seven dps.
-0.0000009
Let d = -0.02443823 - -0.0245. Round d to 5 dps.
0.00006
Let s = -0.262 + 0.805. Let r = 0.54 - s. What is r rounded to 2 dps?
0
Let d = 18 + -13. Suppose -5 = -5*c + d. Suppose 2*j = -c*j + 6000000. Round j to the nearest 100000.
1500000
Suppose 2*g = 4*j - 466380, -4*g + 3*j + 241360 = 1174145. What is g rounded to the nearest 10000?
-230000
Let k = -13 - -13.013. Let q = -0.01544 + k. What is q rounded to four dps?
-0.0024
Let r = 469.271 - 470. Let n = 0.029 + r. Round n to 1 decimal place.
-0.7
Let l = -1.3965 - -0.6266. What is l rounded to 2 decimal places?
-0.77
Let v(j) = -j**3 - j**2 - j + 2. Let n be v(0). Suppose 5*f - 3*c - 119 = 4*f, 6 = -n*c. What is f rounded to the nearest one hundred?
100
Let n = -5.44 - -6.1. Let l = 0.14 + n. Let w = -0.7999995 + l. Round w to 6 dps.
0.000001
Let a = -5924695 - -5930259.814. Let w = -5484.7 + a. Let d = -80 + w. Round d to two decimal places.
0.11
Let l be 26 + 2 + -1 + -2. Let c = l + 7. Let u = c - -126. What is u rounded to the nearest ten?
160
Let u = 14494.87569211 - -237688.48430749. Let w = u - 252193.36. Let t = -10 - w. What is t rounded to 6 dps?
0
Let o = -0.05 - 9.55. Let p = -9.591 - o. What is p rounded to 2 decimal places?
0.01
Let z = -2943386 + 1532525. Let d = z + 1410858.600047. Let k = -2.4 - d. What is k rounded to five dps?
-0.00005
Let g = 0.111695 + -0.111. Round g to 5 decimal places.
0.0007
Let q = -375 - -352.44. Let t = -23 - q. Let f = t - -0.01. Round f to one decimal place.
-0.4
Let n = -139562.739835 - -139562. Let v = n + 0.74. Round v to 5 decimal places.
0.00017
Let c = -15.1017 - -14.87. Round c to one dp.
-0.2
Suppose -3*q + 42 + 21 = 0. Suppose -5*b + 24 = -q. Suppose 11*k - b*k = 1120. What is k rounded to the nearest 100?
600
Let r(o) = 957495*o + 20. Let g be r(4). What is g rounded to the nearest one million?
4000000
Let v(p) = 4*p**2 + p. Let y be v(-1). Suppose -5*o + 19 = -y*j - 13, 5*j = 5*o - 40. Suppose o*n + n = -75. What is n rounded to the nearest ten?
-20
Let u = -47 + 43.92. Let i = u + 3.080389. Round i to four dps.
0.0004
Let z = -10.54 - -8.63. Round z to the nearest 10.
0
Let y = 19 + -9. Suppose 5*j - y - 20 = 0. Let m be (-43184)/24 + (-4)/j. What is m rounded to the nearest one thousand?
-2000
Let h = 0.20676 + 93.38324. Round h to the nearest ten.
90
Let q = -134311431 + 54411431. What is q rounded to the nearest one million?
-80000000
Suppose 3*u - 5*h = 4*u + 73580, -4*h - 4 = 0. Let d = u - -17575. Round d to the nearest ten thousand.
-60000
Suppose -27*b = -30*b + 6. Suppose -57051 = b*r - 4651. What is r rounded to the nearest one thousand?
-26000
Let z = -20.18 - -19.8874. What is z rounded to 2 decimal places?
-0.29
Let w = 98172 - 198472. Round w to the nearest 1000.
-100000
Let o = -21.97 + 0.17. Let f = -21.800153 - o. Round f to five decimal places.
-0.00015
Let r = 357178 - 357177.8910342. Let a = 59 + -59.109. Let g = r + a. What is g rounded to six dps?
-0.000034
Let m = 0.32535 + -0.317. Round m to 3 decimal places.
0.008
Let i = -1034.32 + 991. Let v = i + 29. What is v rounded to zero dps?
-14
Let q = -7 - -6.813. Let i = q + 0.586. Round i to two dps.
0.4
Let f = 179025 + 108981. Suppose -w + 3*c - f = -4*w, -3*c = -6. What is w rounded to the nearest 10000?
100000
Let c(i) = 38001*i**2 - 3*i + 2. Suppose 3 - 9 = -3*x. Let f be c(x). Suppose -3*n + 114000 = 3*d, -f = -4*n - 3*d + d. Round n to the nearest ten thousand.
40000
Let r(z) = 2*z**2 + 28*z + 123. Let t be r(-27). Round t to the nearest ten.
830
Let l = -5.156 + 5.3667. Round l to 2 decimal places.
0.21
Let t = -91 - -102.4. Let i = -10.03 + t. Round i to one dp.
1.4
Let y = 451.58 + -457. Let t = -6.6 - y. Let a = t - -1.7. What is a rounded to one dp?
0.5
Let b = 101.13 - 101.129991233. What is b rounded to 7 decimal places?
0.0000088
Let p = 133196391 + -64851931. Let x = p + -110700463. Let b = x + 29656003. What is b rounded to the nearest one million?
-13000000
Let k = 37.16 + -25.63. What is k rounded to 0 dps?
12
Let z(h) = 727196*h**3 - 2*h**2. Let r be z(1). Suppose -11*v + 372806 + r = 0. Round v to the nearest 100000.
100000
Let n = 12227.7046 - 12415.68. Let j = n + 188. What is j rounded to two dps?
0.02
Let a = -0.0266 + 0.026600409. Round a to 7 dps.
0.0000004
Let k = 4881 + -5641.6. What is k rounded to the nearest 10?
-760
Suppose 2*x - 1561 + 4543 = 0. Let i = x + 4451. Round i to the nearest one thousand.
3000
Let q(o) be the first derivative of -977*o**2 + 2. Let i be q(-1). Let l = 56954 - i. Round l to the nearest 10000.
60000
Suppose -9*a + 8032 = -13*a. Let m be 1168/(a/500 - -4). What is m rounded to the nearest ten thousand?
-70000
Let w = -0.753 + 0.7530633. Round w to 5 decimal places.
0.00006
Let b = 50.6 - -6.5. Round b to the nearest ten.
60
Let o = 0.8 - -2.2. Let z = -2.97 + o. Let q = z + -0.03000035. What is q rounded to 7 dps?
-0.0000004
Let a = 7283 + 90417. What is a rounded to the nearest 1000?
98000
Suppose -22 + 8 = 2*m + 3*z, 0 = -4*z + 8. Round m to 0 decimal places.
-10
Let n = -10.91 + 11. Let x = 0.29 - n. What is x rounded to 1 dp?
0.2
Suppose -4*g - 4949966 = -5*y, -g = -2*y + 3*g + 1979984. Suppose 0 = -3*i - 3*d - 4037170 + 1067161, -y = i - 2*d. Round i to the nearest 100000.
-1000000
Let w = 22.425254 + -0.439554. Let h = w - 22. Round h to 3 dps.
-0.014
Suppose -4*i + 45 = 33. Suppose 2*j + 2*j = i*p + 480000, -3*j + 360000 = -p. What is j rounded to the nearest 100000?
100000
Let o(s) = -s - 5. Let b be o(-7). Suppose 157500005 = -5*g + 3*z - 2*z, 4*g = b*z - 126000010. Round g to the nearest 1000000.
-32000000
Let n = 1.84683072 - -7.45316877. Let j = -9.3 + n. What is j rounded to 7 dps?
-0.0000005
Let m be -17328 + 17/(85/25). What is m rounded to the nearest 100?
-17300
Let g = -37761613.6400153 + 37761612. Let u = 0.084 + -1.724. Let c = u - g. What is c rounded to 6 dps?
0.000015
Suppose -53400842 = 10*f + 29009158. What is f rounded to the nearest 1000000?
-8000000
Suppose k + 44292 = -x, -2*k + x + 4*x - 88570 = 0. What is k rounded to the nearest 10000?
-40000
Let u = -324.3 + 45.3. Let s = -291.79 - u. What is s rounded to zero decimal places?
-13
Let h = -0.3 + -5.2. Let c = h - -5.50000074. Round c to 7 dps.
0.0000007
Let z = -21309 + 49809. Let x be (-5 - -23)*z/(-9). Round x to the nearest 10000.
-600 | {
"pile_set_name": "DM Mathematics"
} |
(base 13) to base 14
-a548
86a9 (base 11) to base 10
11493
-101200 (base 4) to base 5
-13440
What is -4114 (base 6) in base 5?
-12120
-1433 (base 6) to base 12
-279
What is -63 (base 8) in base 13?
-3c
Convert 730 (base 8) to base 11.
39a
Convert 17427 (base 12) to base 10.
33439
-21140 (base 7) to base 10
-5222
Convert 306 (base 11) to base 16.
171
What is 1023320 (base 5) in base 10?
17335
What is 11211112 (base 3) in base 4?
313010
-3c2 (base 16) to base 13
-590
What is -52210 (base 6) in base 5?
-210430
Convert -2468 (base 11) to base 9.
-4367
4058 (base 12) to base 14
2788
What is -101000110 (base 2) in base 12?
-232
-11132 (base 4) to base 6
-1342
What is 20aa (base 11) in base 7?
11053
What is -271 (base 14) in base 4?
-13223
Convert 325 (base 10) to base 3.
110001
Convert -54014 (base 6) to base 2.
-1110010111010
-3210231 (base 4) to base 16
-392d
213113 (base 4) to base 11
1990
Convert -117036 (base 8) to base 13.
-15569
Convert -451135 (base 6) to base 16.
-93e3
Convert 13202322 (base 4) to base 6.
355030
Convert 6056 (base 12) to base 8.
24302
Convert -422 (base 15) to base 13.
-569
Convert -152e3 (base 15) to base 16.
-10a43
-3331 (base 11) to base 15
-147a
Convert 65036 (base 9) to base 6.
531140
What is -122110 (base 3) in base 5?
-3341
Convert 6745 (base 13) to base 8.
34126
What is -110011001100110 (base 2) in base 14?
-97a6
20120200 (base 3) to base 14
1a69
2cbd (base 15) to base 7
40033
What is -156255 (base 7) in base 10?
-31008
What is -121222100 (base 3) in base 5?
-344000
110101111 (base 2) to base 16
1af
-53a (base 15) to base 14
-604
What is 10110100 (base 3) in base 7?
10230
-2282 (base 13) to base 8
-11346
Convert 6653 (base 14) to base 8.
42461
-30010 (base 5) to base 11
-145a
What is -15a8 (base 14) in base 5?
-110442
Convert 16744 (base 9) to base 12.
681a
Convert -97a (base 14) to base 3.
-2120100
What is -2335 (base 6) in base 5?
-4223
-111100111100001 (base 2) to base 13
-11281
144b6 (base 12) to base 16
6eca
1012200021 (base 3) to base 8
56415
What is -21556 (base 7) in base 8?
-12467
170 (base 13) to base 5
2020
-10002022102 (base 3) to base 8
-166476
Convert -35e (base 16) to base 4.
-31132
2495 (base 12) to base 11
3129
Convert -6030 (base 7) to base 5.
-31304
What is -11100001110111 (base 2) in base 3?
-201211101
Convert 12311 (base 6) to base 5.
24333
-2834 (base 10) to base 9
-3788
13522 (base 6) to base 3
2221012
Convert 10100110000 (base 2) to base 9.
1735
What is 1aa05 (base 11) in base 16?
71ee
11001001 (base 2) to base 7
405
-122212100 (base 3) to base 10
-13023
3063 (base 8) to base 14
815
-412665 (base 7) to base 5
-4230111
What is 22 (base 11) in base 13?
1b
Convert -12d2 (base 15) to base 5.
-112042
What is -1110110000 (base 2) in base 14?
-4b6
-1011 (base 6) to base 11
-193
What is 1a15 (base 12) in base 11?
2436
bb (base 16) to base 8
273
What is -1f1 (base 16) in base 6?
-2145
Convert -1020021 (base 4) to base 9.
-6300
What is -3553 (base 9) in base 11?
-1a90
-1c03 (base 14) to base 6
-35335
-17113 (base 9) to base 12
-6979
What is -1101111 (base 2) in base 13?
-87
Convert -a45 (base 13) to base 5.
-23442
Convert 230354 (base 7) to base 14.
10d2b
Convert 1131312 (base 4) to base 10.
6006
-204330 (base 5) to base 2
-1101010111000
Convert 10002201 (base 3) to base 4.
203110
Convert 24a1 (base 11) to base 8.
6271
Convert -1111100 (base 2) to base 16.
-7c
-4429 (base 15) to base 14
-5395
What is 1386 (base 16) in base 10?
4998
Convert 26c (base 13) to base 14.
228
What is 1120021 (base 3) in base 4?
101311
1447 (base 16) to base 10
5191
c0 (base 15) to base 12
130
-3214 (base 8) to base 6
-11432
What is -1c16 (base 15) in base 11?
-4642
What is -86b (base 16) in base 9?
-2854
What is -1112014 (base 5) in base 2?
-100110010110010
Convert 1994 (base 11) to base 2.
100111011011
What is -2341 (base 15) in base 12?
-43ba
Convert -43c8 (base 15) to base 12.
-838b
Convert 1b92 (base 14) to base 16.
13a4
What is 12222 (base 6) in base 11?
13aa
What is 6cd (base 14) in base 5?
20412
What is -5b70 (base 14) in base 15?
-4aee
Convert -2a0 (base 16) to base 7.
-1650
Convert -87 (base 14) to base 16.
-77
32b4 (base 14) to base 8
21116
What is -124505 (base 6) in base 4?
-2302121
-166 (base 9) to base 12
-b9
-11222 (base 12) to base 10
-22778
What is -b04 (base 14) in base 10?
-2160
Convert -682 (base 9) to base 16.
-230
Convert -110010 (base 2) to base 13.
-3b
Convert -21202010 (base 3) to base 13.
-2754
Convert 1877 (base 11) to base 16.
94f
What is -1057 (base 8) in base 9?
-681
Convert 22200102 (base 3) to base 4.
1202321
56 (base 13) to base 10
71
54 (base 11) to base 9
65
What is -199c9 (base 13) in base 12?
-24b44
1011110001100 (base 2) to base 15
1bbd
-63340 (base 7) to base 8
-36372
What is 505513 (base 6) in base 3?
2001002000
Convert -46204 (base 10) to base 5.
-2434304
What is -1570 (base 9) in base 13?
-711
What is -11716 (base 9) in base 14?
-2c24
Convert -2015 (base 6) to base 2.
-110111011
Convert -38339 (base 10) to base 4.
-21113003
Convert -391 (base 13) to base 14.
-329
e8d (base 16) to base 13
1907
Convert 2641 (base 8) to base 7.
4126
Convert 97 (base 13) to base 3.
11121
Convert -21000 (base 3) to base 7.
-360
Convert -24a5 (base 12) to base 2.
-1000000111101
-21013 (base 6) to base 2
-101100000001
Convert -8f9 (base 16) to base 12.
-13b5
Convert 2491 (base 15) to base 4.
1321222
Convert 30010 (base 5) to base 11.
145a
Convert 10011001000010 (base 2) to base 11.
73a4
Convert -ac33 (base 15) to base 2.
-1000111010010010
What is -2131 (base 14) in base 12?
-3393
Convert 1030 (base 7) to base 8.
554
Convert 2873 (base 16) to base 11.
7864
What is 8826 (base 9) in base 16?
1968
Convert 459 (base 13) to base 6.
3250
Convert -64467 (base 10) to base 14.
-196cb
2031 (base 5) to base 15
12b
10111010010 (base 2) to base 5
21430
5d (base 16) to base 4
1131
10222002 (base 3) to base 2
101101001011
What is 1360 (base 9) in base 14?
534
-b1b (base 15) to base 11
-1974
What is -1a3 (base 16) in base 8?
-643
What is -1000100101010011 (base 2) in base 13?
-13003
-8c1 (base 16) to base 15
-9e6
Convert -214412 (base 5) to base 3.
-101021010
Convert 1bb9 (base 16) to base 8.
15671
What is -15756 (base 9) in base 16?
-2a48
Convert a75 (base 16) to base 9.
3604
111121 (base 3) to base 8
557
-1154 (base 6) to base 4
-10132
-1135 (base 6) to base 10
-275
-335 (base 7) to base 9
-212
Convert 302222 (base 4) to base 9.
4402
Convert -33131 (base 6) to base 9.
-6261
-2799 (base 10) to base 12
-1753
Convert 98b7 (base 13) to base 16.
531b
Convert -10112 (base 4) to base 12.
-1b2
-4405 (base 6) to base 11
-841
Convert -6469 (base 10) to base 3.
-22212121
Convert -602 (base 8) to base 13.
-239
Convert 110023 (base 4) to base 14.
683
Convert 68a6 (base 13) to base 16.
394e
What is -9 (base 14) in base 7?
-12
203102 (base 4) to base 6
14242
What is -6768 (base 9) in base 4?
-1032023
Convert 2131223 (base 4) to base 7.
41264
-36 (base 10) to base 3
-1100
Convert 168 (base 9) to base 4.
2033
What is 14301 (base 6) in base 13?
1057
Convert 2329 (base 13) to base 12.
2a34
-331312 (base 4) to base 15
-128d
What is -1112121001 (base 3) in base 8?
-73162
-d8b (base 16) to base 4
-312023
Convert -2567 (base 9) to base 2.
-11110000100
Convert 2003 (base 6) to base 14.
231
Convert 84 (base 11) to base 2.
1011100
Convert 2346 (base 8) to base 14.
658
Convert -55b (base 15) to base 14.
-627
Convert -1081 (base 9) to base 3.
-1002201
Convert 13239 (base 11) to base 6.
223330
Convert -10000000 (base 2) to base 16.
-80
-2010000011 (base 3) to base 10
-41557
1a246 (base 11) to base 7
145225
Convert 27427 (base 10) to base 2.
110101100100011
Convert -44b (base 14) to base 15.
-3bb
What is -3a9 (base 11) in base 2?
-111100010
What is -220 (base 15) in base 6?
-2120
52978 (base 10) to base 13
1b163
What is 11b31 (base 13) in base 15?
9a22
What is -25430 (base 7) in base 9?
-10212
3319 (base 11) to base 4
1010120
Convert -22738 (base 9) to base 4.
-3231032
Convert 23131 (base 4) to base 12.
511
a49 (base 15) to base 9
3156
What is 1000101010010 (base 2) in base 12?
2696
What is 5534 (base 9) in base 2?
111111110001
50952 (base 10) to base 9
76803
Convert -ed (base 15) to base 6.
-1011
What is 1001100010 (base 2) in base 13?
37c
Conve | {
"pile_set_name": "DM Mathematics"
} |
*3 + f**2 - 9*f - 2795422
What is the p'th term of -23097, -92437, -208005, -369795, -577801, -832017, -1132437, -1479055?
p**3 - 23120*p**2 + 13*p + 9
What is the t'th term of 29883, 59745, 89593, 119427, 149247, 179053, 208845?
-7*t**2 + 29883*t + 7
What is the u'th term of 972, 1972, 2940, 3870, 4756?
-u**3 - 10*u**2 + 1037*u - 54
What is the j'th term of -12660, -11774, -9374, -4704, 2992, 14470, 30486?
126*j**3 + j**2 + j - 12788
What is the l'th term of -1641, -1109, -223, 1017?
177*l**2 + l - 1819
What is the v'th term of 14865383, 29730759, 44596135, 59461511, 74326887?
14865376*v + 7
What is the b'th term of 748, 3224, 7352, 13132?
826*b**2 - 2*b - 76
What is the h'th term of -17623, -9287, 13331, 57371, 129973, 238277, 389423, 590551?
1190*h**3 + h**2 + 3*h - 18817
What is the y'th term of 21770, 46322, 70874, 95426, 119978?
24552*y - 2782
What is the j'th term of 1709, 1488, 1095, 536, -183, -1056, -2077?
j**3 - 92*j**2 + 48*j + 1752
What is the z'th term of -417, -1476, -3785, -7968, -14649, -24452, -38001?
-104*z**3 - z**2 - 328*z + 16
What is the u'th term of -916916832, -916916834, -916916836, -916916838, -916916840, -916916842?
-2*u - 916916830
What is the r'th term of 12793, 25543, 38207, 50737, 63085?
-8*r**3 + 5*r**2 + 12791*r + 5
What is the a'th term of 24577395, 24577398, 24577403, 24577410, 24577419, 24577430?
a**2 + 24577394
What is the q'th term of 8325, 8542, 8663, 8640, 8425, 7970, 7227?
-8*q**3 + 273*q + 8060
What is the c'th term of 3002, 5984, 8932, 11834, 14678, 17452?
-2*c**3 - 5*c**2 + 3011*c - 2
What is the w'th term of -11391, -8129, -4867, -1605, 1657, 4919?
3262*w - 14653
What is the c'th term of -21950060, -21950071, -21950082?
-11*c - 21950049
What is the g'th term of 759150, 759174, 759210, 759252, 759294, 759330?
-g**3 + 12*g**2 - 5*g + 759144
What is the z'th term of -63050, -63057, -63060, -63059, -63054, -63045?
2*z**2 - 13*z - 63039
What is the p'th term of -10, -186, -602, -1258, -2154?
-120*p**2 + 184*p - 74
What is the x'th term of 204146, 409049, 613952, 818855?
204903*x - 757
What is the h'th term of -486244, -486398, -486550, -486700, -486848, -486994?
h**2 - 157*h - 486088
What is the r'th term of -235203, -235246, -235289, -235332, -235375, -235418?
-43*r - 235160
What is the l'th term of 21863, 44849, 68955, 94181, 120527, 147993, 176579?
560*l**2 + 21306*l - 3
What is the m'th term of -41, -508, -1003, -1520, -2053, -2596, -3143, -3688?
m**3 - 20*m**2 - 414*m + 392
What is the l'th term of -28913, -57565, -86301, -115121?
-42*l**2 - 28526*l - 345
What is the m'th term of 5131, 21984, 50081, 89422?
5622*m**2 - 13*m - 478
What is the o'th term of -497940, -497952, -497964, -497976, -497988?
-12*o - 497928
What is the f'th term of -4725, -9614, -14581, -19632, -24773, -30010, -35349?
-f**3 - 33*f**2 - 4783*f + 92
What is the l'th term of 66777, 133485, 200171, 266835?
-11*l**2 + 66741*l + 47
What is the y'th term of 457943, 1830505, 4118109, 7320755, 11438443, 16471173?
457521*y**2 - y + 423
What is the s'th term of -6519, -5686, -3427, 972, 8225, 19046, 34149?
119*s**3 - s**2 + 3*s - 6640
What is the j'th term of -23615, -47433, -71225, -94991, -118731, -142445, -166133?
13*j**2 - 23857*j + 229
What is the m'th term of 239116, 956388, 2151836, 3825454, 5977236, 8607176, 11715268, 15301506?
-m**3 + 239094*m**2 - 3*m + 26
What is the l'th term of 4199170, 4199157, 4199138, 4199113, 4199082?
-3*l**2 - 4*l + 4199177
What is the l'th term of -2618501908, -2618501906, -2618501902, -2618501896, -2618501888, -2618501878, -2618501866?
l**2 - l - 2618501908
What is the n'th term of -5443, -10761, -15827, -20515, -24699?
21*n**3 - 5465*n + 1
What is the n'th term of -554253, -2217191, -4988757, -8868951, -13857773?
-554314*n**2 + 4*n + 57
What is the c'th term of -214978, -212900, -209436, -204586?
693*c**2 - c - 215670
What is the v'th term of 17531, 34680, 51829?
17149*v + 382
What is the r'th term of -204051, -204078, -204093, -204090, -204063, -204006, -203913, -203778?
r**3 - 34*r - 204018
What is the y'th term of -92391, -184799, -277221, -369657, -462107, -554571, -647049?
-7*y**2 - 92387*y + 3
What is the r'th term of -26247014, -104988071, -236223164, -419952293, -656175458, -944892659?
-26247018*r**2 - 3*r + 7
What is the t'th term of -755321, -755254, -755149, -755006?
19*t**2 + 10*t - 755350
What is the w'th term of -12897, -13136, -13737, -14880, -16745?
-30*w**3 - w**2 - 26*w - 12840
What is the y'th term of -3905, -18124, -41813, -74966, -117577, -169640, -231149, -302098?
y**3 - 4741*y**2 - 3*y + 838
What is the d'th term of 139457, 557811, 1255063, 2231219, 3486285, 5020267, 6833171, 8925003?
d**3 + 139443*d**2 + 18*d - 5
What is the l'th term of -1525656039, -1525656042, -1525656047, -1525656054, -1525656063?
-l**2 - 1525656038
What is the m'th term of 100667488, 100667490, 100667492?
2*m + 100667486
What is the v'th term of -867256, -867251, -867244, -867235, -867224, -867211, -867196?
v**2 + 2*v - 867259
What is the x'th term of -79603, -159199, -238795, -318391, -397987?
-79596*x - 7
What is the r'th term of -59470, -237701, -534760, -950653, -1485386, -2138965?
-r**3 - 59408*r**2 - 61
What is the j'th term of -32608, -34021, -36378, -39679?
-472*j**2 + 3*j - 32139
What is the i'th term of 185009, 185004, 184997, 184988?
-i**2 - 2*i + 185012
What is the w'th term of -2368, -7173, -11980, -16789, -21600?
-w**2 - 4802*w + 2435
What is the p'th term of 14367, 28724, 43065, 57390, 71699, 85992, 100269?
-8*p**2 + 14381*p - 6
What is the d'th term of -195817, -391622, -587427, -783232, -979037, -1174842?
-195805*d - 12
What is the p'th term of 8234, 8199, 8138, 8045, 7914, 7739?
-p**3 - 7*p**2 - 7*p + 8249
What is the b'th term of -68654615, -137309227, -205963841, -274618457?
-b**2 - 68654609*b - 5
What is the f'th term of 48591, 97144, 145697, 194250, 242803, 291356?
48553*f + 38
What is the p'th term of 1100, 1109, 1152, 1241, 1388, 1605?
2*p**3 + 5*p**2 - 20*p + 1113
What is the c'th term of 11936, 23869, 35808, 47753?
3*c**2 + 11924*c + 9
What is the s'th term of 163351, 163376, 163427, 163510, 163631, 163796, 164011, 164282?
s**3 + 7*s**2 - 3*s + 163346
What is the i'th term of -118489, -118227, -117967, -117709, -117453?
-i**2 + 265*i - 118753
What is the j'th term of 989994, 1979984, 2969974, 3959970, 4949978, 5940004, 6930054?
j**3 - 6*j**2 + 990001*j - 2
What is the v'th term of -53515, -49026, -44537, -40048?
4489*v - 58004
What is the h'th term of -1183212, -2366410, -3549608?
-1183198*h - 14
What is the h'th term of 42501, 42712, 42923, 43134, 43345?
211*h + 42290
What is the h'th term of -18397, -36774, -55119, -73420, -91665?
2*h**3 + 4*h**2 - 18403*h
What is the g'th term of -6514, -5624, -4752, -3904, -3086, -2304?
-g**3 - 3*g**2 + 906*g - 7416
What is the j'th term of 732280, 1464099, 2195918?
731819*j + 461
What is the s'th term of 96484, 196585, 296684, 396781, 496876, 596969, 697060?
-s**2 + 100104*s - 3619
What is the t'th term of 255765, 511685, 767605, 1023525?
255920*t - 155
What is the y'th term of -5369, -10974, -16843, -22982, -29397, -36094, -43079, -50358?
-y**3 - 126*y**2 - 5220*y - 22
What is the t'th term of -22499392, -44998767, -67498142, -89997517, -112496892?
-22499375*t - 17
What is the f'th term of 416663, 833430, 1250125, 1666712, 2083155, 2499418, 2915465?
-6*f**3 + 416809*f - 140
What is the j'th term of -276394, -276387, -276362, -276307, -276210, -276059, -275842?
2*j**3 - 3*j**2 + 2*j - 276395
What is the z'th term of -74527019, -149054034, -223581049, -298108064, -372635079, -447162094?
-74527015*z - 4
What is the q'th term of -1058794, -1058827, -1058860, -1058893, -1058926, -1058959?
-33*q - 1058761
What is the x'th term of 16230163, 32460326, 48690491, 64920658, 81150827?
x**2 + 16230160*x + 2
What is the z'th term of -143112, -143149, -143232, -143379, -143608, -143937?
-3*z**3 - 5*z**2 - z - 143103
What is the n'th term of 54264, 54353, 54588, 55041, 55784?
12*n**3 + n**2 + 2*n + 54249
What is the x'th term of 10746, 20445, 30144, 39843, 49542, 59241?
9699*x + 1047
What is the f'th term of -11295, -14065, -16835, -19605, -22375, -25145?
-2770*f - 8525
What is the f'th term of 6754, 13470, 20188, 26902, 33606, 40294, 46960, 53598?
-f | {
"pile_set_name": "DM Mathematics"
} |
-62)/(-155)). Which is the nearest to x? (a) v (b) -0.4 (c) 0
c
Suppose 0 = 20*r - 516 + 2336. Let y = r + 271/3. Which is the closest to y? (a) -3 (b) 1 (c) -0.02
c
Let a = 0.02 + -0.12. Let k = -2/183 - 899/1464. What is the nearest to 0 in -1/5, k, a?
a
Let w = -1351.37 - -1351. Which is the nearest to w? (a) -0.3 (b) -0.1 (c) -0.5
a
Let a = 102.9 + -1.9. Let v = 96 - a. What is the nearest to 1 in 5, -4, v?
5
Let s = 2740 + -2742. What is the nearest to 2/3 in -0.5, s, -1, 11?
-0.5
Let h = -316 + 321. Which is the closest to 0.17? (a) 0.5 (b) h (c) -0.4
a
Let z = -1 + 2. Suppose -33 = 5*x + 6*x. What is the closest to z in 0, x, -1/4?
0
Let s(u) = u**3 + 6*u**2 - 2*u - 11. Let m be s(-5). Let r = -25 + m. Which is the nearest to -0.2? (a) -5 (b) r (c) -11
b
Let y be (3 - 468/140)*(-7)/2. Let i = 0.042 + -1.042. Which is the nearest to i? (a) 0 (b) y (c) -1
c
Let k = -28 + 29. Let w = -1.53 + 1.43. Which is the nearest to w? (a) -1/5 (b) k (c) 0.12
a
Let u = 262 - 266. Which is the closest to -1? (a) 3/5 (b) u (c) -28
a
Let j = 1.4 + -6.4. Let r be (-21)/27 - (-2 + 1). What is the nearest to 1 in j, 4, r?
r
Suppose -60 = 4*k + n + 41, -5*k - 5*n - 115 = 0. Let x = -27 - k. Let d be 0/(-2 + 4) - 1. What is the closest to x in 3/2, d, 4?
d
Suppose 4*p + w + 51 = 0, p - 3*w = -0*p - 16. Let m be (p - -5) + (3 - 1/(-1)). Let d = 1 + -2. Which is the nearest to d? (a) 5 (b) 0.5 (c) m
b
Let s be (-2)/8 + (-60)/(-112). Let r = 81.35 - 81.75. Which is the nearest to s? (a) r (b) 4 (c) 1/4
c
Let j be 7/(-14) - (0 + -1). Let u be (-2)/(-11) + (-1261)/(-143). Let b be (2/24)/(u/18). What is the nearest to 0 in 3, b, j?
b
Let t be (-3 - 0)*(13 + (-9 - -1)). Let a be (10/3)/(10/t). What is the nearest to 3 in -4, 5, a?
5
Suppose 0 = 33*h + 434 - 71. Which is the nearest to 2? (a) -3 (b) h (c) 2/11
c
Let x = 36.4 + -30. Let j = x - 6. Which is the closest to -1/2? (a) 3 (b) -0.5 (c) j
b
Let h = 356 - 355. What is the nearest to -4 in -5, h, -4?
-4
Let n = 1377 - 1379. What is the nearest to -1 in n, -6/5, 5, 0.4?
-6/5
Let w = -3759 + 3760. Let v = -114/7 + 16. What is the nearest to v in -5, w, 5?
w
Let w be (5 - 5) + -6 + 0. Let i be w/21 - (-5)/(-7). Let d = -155 + 153. Which is the closest to -2/5? (a) d (b) i (c) 2/7
b
Let f = 32 - 27. Let s be 1/(6 - 4) + 22/(-4). What is the nearest to 1/2 in s, 1/4, f?
1/4
Let w = 13.82 - 14. Let f = 251 + -248.82. Let u = f + w. Which is the nearest to -0.3? (a) 5 (b) u (c) 2/7
c
Let s = 5.3 - 0.3. Let f = -1/51 + 160/357. Let d be (1/(-2))/(3/2). What is the closest to d in f, s, 2/3?
f
Suppose 3*s + 8 = 5*l + 11, -3*l + 3 = -3*s. What is the closest to 1 in s, -2, -5/6, 5?
-5/6
Let n(d) = d**2 + 5*d - 1. Let k be n(-5). Let g = 0.4 - 0.37. Which is the closest to g? (a) k (b) -2 (c) 1
c
Let r = -17.3 - -17.12. Let j = 0.27 + r. Let l = 1 + 0. What is the nearest to l in -3/2, j, 0.3?
0.3
Let x = -1092 + 1092. Which is the closest to 10? (a) x (b) -2/13 (c) 5
c
Let u = -380 - -377. Which is the nearest to 14? (a) 1/4 (b) 4/7 (c) u
b
Let l = -0.1 + 0.4. Let v = 74 + -208. Let s = 940/7 + v. Which is the closest to 3? (a) l (b) 4 (c) s
b
Let w = 376 + -382. What is the nearest to -1 in 2/7, -0.3, -1/7, w?
-0.3
Let u = 91 + -93. What is the closest to u in 2, -5, -2.2?
-2.2
Let b = -5175 + 5175.4. Let f be (-44)/36 + (-2)/(-2). What is the closest to 4/7 in 3, b, f?
b
Let v be (-520)/720 + 2/4. Let a = -0.11 - -5.11. What is the closest to v in 0, a, -0.2?
-0.2
Let w = 34.1 - 31.1. Which is the closest to 16? (a) 5 (b) w (c) -2
a
Let v = 61 - 65. What is the closest to 1 in 22, 1, v?
1
Let k = -2.5 - -2.36. Let j = 1.14 + k. Which is the nearest to j? (a) -0.5 (b) 6 (c) -5
a
Let j(o) = o**3 + 10*o**2 + 10*o + 10. Let q be j(-9). Let y = 21/5 - 79/20. What is the nearest to y in -2/51, q, -2?
-2/51
Let j = -278 - -144. Let u = 129 + j. What is the closest to 0.1 in 4, 8, u?
4
Let s = 178.1 - 178. Which is the nearest to s? (a) 6 (b) -1/4 (c) -1
b
Let n = -119 + 115. Which is the closest to 0? (a) n (b) 5 (c) -0.11
c
Let a = 71 + -61. Let d = -10.3 + a. What is the closest to d in 0, 5, -2/11?
-2/11
Let l be (-856)/(-36) - (-2)/9. Let t be -5 - -2 - (-78)/l. Let g = 0.6 - 1. What is the nearest to -0.1 in g, -2, t?
g
Let h(j) = j**3 + 3*j**2 + 8*j - 1. Let f be h(-6). Let g = -160 - f. Which is the closest to -0.2? (a) -2 (b) -4 (c) g
a
Let p be (3/(-14))/(1/2). Suppose -2*f - 8*f = -10. What is the closest to f in -0.4, p, -0.1?
-0.1
Let h(a) = 2*a + 7. Let t be h(-6). Let r = 2 + t. Let o = 89 + -90. What is the nearest to r in 1, o, -2/5?
o
Let w = -33 - -33.06. Let h = 4.9 - 5. Which is the nearest to 0? (a) -1 (b) w (c) h
b
Let t = -202 + 605/3. What is the closest to -12 in -1, t, -0.5?
-1
Let i be (-3216)/(-216) + (-3)/(-27). What is the nearest to -3 in i, -0.4, 2?
-0.4
Let q = -8 + 7.4. Let h = q + 0.3. Let p = -0.861 - -0.361. Which is the nearest to h? (a) p (b) 5 (c) -4
a
Let x = 0.2 - -0.5. What is the nearest to x in 0.1, -4, 3/7?
3/7
Let g = 0.464 + -0.574. What is the nearest to g in 3, 4, -10?
3
Suppose 5*m - 2 = -g - 5, m + 5*g = -15. Let k = -476 - -476. What is the nearest to k in 5, 2, m?
m
Let w = -378 + 1513/4. What is the nearest to w in 5, 17, -4?
-4
Let x be (2 + (-16)/6)*(-330)/(-44). What is the nearest to 3 in 0.1, 7, x, 1?
1
Let q(z) = -z - 23. Let t be q(-22). Let h = 2/3 - 4/3. Which is the nearest to t? (a) -3 (b) -5 (c) h
c
Let j(l) = -3*l + 2. Let r(h) = -3*h + 1. Let a(m) = -5*j(m) + 6*r(m). Let u be a(-1). What is the closest to u in -1/3, -5, 5?
-1/3
Let g = -6.25 - -6.15. What is the nearest to g in 0.04, 2, 3?
0.04
Let t = 439.01 - 436. Let p = -0.01 + t. Let y be ((-12)/165)/(-2)*(-4 - -9). Which is the nearest to 1? (a) 0.3 (b) y (c) p
a
Let j = -109.8 - -110. What is the closest to 2/3 in -1, 1, j, 4?
1
Let h be 1/(18/(-3) - -7). Which is the nearest to h? (a) -5 (b) 2/33 (c) -3/4
b
Let x(i) = -i**2 + 69*i + 367. Let v be x(-5). Which is the closest to 0? (a) 24 (b) -1 (c) v (d) 0.3
d
Let l = 1819.5 - 1819. Which is the closest to 2? (a) l (b) 2 (c) -3 (d) -1
b
Suppose 2*q - 33 = -5*f - 122, -f = 4*q + 7. Let n be 2/(-10) + f/(-45). Let p = 10 + -8. Which is the nearest to n? (a) -3/4 (b) -2 (c) p
a
Suppose 0*n - 4*n - 12 = 0. Let t = 4 + n. Which is the closest to 0? (a) -2 (b) -3 (c) t
c
Let o = 9.2 - 9. Let j = -2.1 + 2. Suppose -5*n = 4*u + 11 + 14, -u + 5 = -n. What is the closest to j in n, o, -2?
o
Let d = -0.1 + 1.1. Let h = 127 - 127.5. Let q = 3 + -1. Which is the nearest to 1/2? (a) h (b) d (c) q
b
Let p be ((-2)/(-18))/(295/(-30) - -10). Which is the nearest to p? (a) 0.4 (b) -1/3 (c) 1/9 (d) 7
a
Let d be 9/(-2) + (-2)/4. Let g = d - -8. Let q = -183.7 + 183.8. Which is the nearest to 0? (a) g (b) q (c) 1/5
b
Suppose -4*z + 36 = 2*g - 5*z, -4 = -2*z. Let w be (-3 - 0) + 60/g. Let o = 13/38 + w. Which is the closest to -1/4? (a) o (b) 0.4 (c) 5
b
Let r = 0.85 - 0.75. Which is the nearest to 1? (a) -2 (b) 3 (c) r
c
Let x(v) = -14*v + 36. Let j be x(-6). Let g = j - 120. What is the closest to 0 in 8, -1/5, g?
g
Let o = 2785 + -2785. What is the nearest to o in 0.08, -5, 1/5, -6?
0.08
Let k be -7 - (6 + 51/(-4)). Which is the nearest to 1? (a) 0.1 (b) 2 (c) 3 (d) k
a
Let g = -490/11 - -2428/55. Which is the closest to -1/3? (a) 4/7 (b) -0.08 (c) g (d) -0.5
c
Let p be 75/(-20) + 4 + 135/(-380). Which is the nearest to -0.1? (a) 2 (b) -3/2 (c) p
c
Let i = 13/671 - 28429/12749. Let p = i + 592/285. What is the nearest to p in -0.5, 5, -5?
-0.5
Let q = -0.16 + 0.2. Let o = -1.96 - q. Let d = 1.778 + 0.222. Which is the nearest to 3? (a) -0.2 (b) d (c) o
b
Suppose -3*q + 123 = 129. Which is the nearest to 0.3? (a) q (b) -1/5 (c) -5 (d) -3
b
Let q be (-3)/(-9)*3/4. Let j(k) = -k**2 + 4*k. Let t be j(3). Let b = -0.937 + 1.937. What is the nearest to b in 11, q, t?
q
Suppose 0 = -12*s - 0 + 24. Which is the closest to -0.1? (a) 6 (b) 2/3 (c) s
b
Let q = 4462/7 - 637. Which is the nearest to -1? (a) -2 (b) -2/3 (c) 0.7 (d) q
b
Suppose 0 = v + 2*v - 357. Suppose v*i + 20 = 114*i. What is the closest to -3/7 in 0.4, i, 3?
0.4
Let f = | {
"pile_set_name": "DM Mathematics"
} |
6.191 - -0.3.
-555.891
What is the distance between -0.1 and -114159?
114158.9
What is 547441 take away -4?
547445
Put together 2 and 5461.
5463
-46.6 + 10617
10570.4
What is the distance between -0.1 and 1246.8?
1246.9
Add -281 and -1.02.
-282.02
Add together -49.1 and 18.
-31.1
Add together 0.4 and 0.545.
0.945
Subtract -2.507 from -0.9.
1.607
Calculate -197 + -1741.
-1938
What is 1233452 less than -5?
-1233457
Subtract 43638 from -2.
-43640
Subtract 1.3 from 1.2.
-0.1
Add -102 and 194.
92
What is 0.2 + 346.7?
346.9
Sum 3715 and 0.1.
3715.1
What is 10 - 1?
9
What is 0.04134 - -2.8?
2.84134
3 - 376
-373
What is 4.1194 - -12?
16.1194
Sum 0.02 and 0.53.
0.55
What is 1 take away 0.0398?
0.9602
What is the difference between 174.05 and 0.014?
174.036
What is 0.3 - 1.134?
-0.834
331 + 0.105
331.105
What is -1 less than 54.12022?
55.12022
What is -247702 minus 0.04?
-247702.04
What is -1960.7 less than 7.1?
1967.8
-0.5+-151932
-151932.5
Sum -2 and 0.08272.
-1.91728
-64.092+-2
-66.092
Calculate -0.2 + 1.1803.
0.9803
What is 6.028 plus -0.03?
5.998
What is -4 plus -5790?
-5794
What is 3.395 take away -4?
7.395
Work out 0.5 + 75.04.
75.54
-0.035 + 1583
1582.965
Put together -226 and -41.
-267
What is -0.4 less than 2761?
2761.4
Total of -0.072 and 52744.
52743.928
What is the difference between 0.4 and -89.7?
90.1
Calculate 31.17 - -1.92.
33.09
Calculate 410177 - -1.
410178
0.21 + -569.39
-569.18
Work out -0.015 - -0.072.
0.057
Total of 75 and 0.23.
75.23
0.6 - -0.48
1.08
-21784 - 2.49
-21786.49
What is -3813 + 1306?
-2507
Calculate 62448 + -0.25.
62447.75
Calculate 0 - 457.
-457
Total of -17825 and 0.01.
-17824.99
What is -0.5 + -0.0624?
-0.5624
What is -25854 minus 5?
-25859
Work out -27.593 + -1.23.
-28.823
Calculate -5 - -0.39.
-4.61
0.4+-2882
-2881.6
Subtract -1.28 from -911.
-909.72
-0.1 + 6321
6320.9
What is 0.54796 plus -1?
-0.45204
What is -0.0535 plus 9409?
9408.9465
What is the difference between -120.1 and 1?
121.1
What is the distance between -0.0081 and 1424?
1424.0081
Total of 55.57 and 0.5.
56.07
0.4 - 649.8
-649.4
What is -1.79 take away 80385?
-80386.79
Calculate -4 - -38716.65.
38712.65
Calculate -0.9 - -687.
686.1
What is -0.7 take away 16?
-16.7
What is -0.3 - -5.56711?
5.26711
0.5 - 2930
-2929.5
Add together 4 and 11444.
11448
Sum 1.1587 and -0.575.
0.5837
What is 0 minus 0.00387?
-0.00387
Sum -1.3418 and 60.
58.6582
Put together 4 and 0.153.
4.153
What is -98 take away -0.175?
-97.825
Calculate -1.218 - -2.
0.782
What is the distance between 4 and 2.468?
1.532
Calculate -19.2 - 65.
-84.2
Calculate 177049 + 5.
177054
What is the distance between -9.48 and 2?
11.48
Calculate 935 + 268.
1203
What is the distance between -17193.83 and -0.2?
17193.63
What is the difference between -0.3 and 35606?
35606.3
What is -0.1 plus -0.0482?
-0.1482
Add -0.04614694 and 3.
2.95385306
Calculate -4 + 861.
857
What is 205 plus -54?
151
2924 - 334
2590
Work out -0.8069447 + -0.3.
-1.1069447
Work out 3944 - 9.7.
3934.3
65323 - 2
65321
Put together 86663 and 1.
86664
Subtract -0.138 from -71.88.
-71.742
Add together 0.6 and 4.28.
4.88
What is -752 minus -3?
-749
Put together 43.3 and -0.05.
43.25
What is -0.08 take away 0.1996?
-0.2796
What is 1870403 - 4?
1870399
What is -5 minus -61.6?
56.6
What is -155 - -36?
-119
What is the distance between -108.4 and -5?
103.4
Subtract -0.15 from 7238.5.
7238.65
What is 0.1413 + -6081?
-6080.8587
Calculate -3.685 - 3.
-6.685
What is -23.6 - 0.025?
-23.625
5039 - 4
5035
What is 54 plus -1561?
-1507
What is the difference between -5295 and 1?
5296
Work out 106 + -1.4.
104.6
Total of -0.886 and -0.04.
-0.926
Put together -0.38 and -1101.
-1101.38
What is -0.22131 less than -5?
-4.77869
5 - 0.08155
4.91845
What is 67 plus 369?
436
Put together -1 and 684255.
684254
-138 - 68.4
-206.4
Put together -22 and -0.1983.
-22.1983
79803 - 0.7
79802.3
What is 30 less than -144?
-174
Add 1.3 and 4.62.
5.92
What is 0.0389 take away 0.2?
-0.1611
Put together -1 and 1.39.
0.39
-0.4 + -8382
-8382.4
Subtract -0.048 from 70.
70.048
Sum -0.03 and 119.
118.97
Total of 223285 and 0.07.
223285.07
What is 0.14 + -207?
-206.86
168+-25.7
142.3
Work out -27 - 276.
-303
Add -0.03 and -8232.
-8232.03
Work out -0.43 - -64434.
64433.57
Calculate -2 + 400.
398
Subtract 2 from -647909.
-647911
What is the difference between 1550.3 and 79?
1471.3
What is 186 plus -0.14?
185.86
231+4144
4375
Total of -2 and 15.6.
13.6
4+-0.0743
3.9257
Put together -325 and 404.
79
Put together 78468 and -5.
78463
What is 28 plus -0.119202?
27.880798
Work out 5.88984 - 0.
5.88984
-83.7 + 0.097
-83.603
Add 0.58 and 22.3.
22.88
What is -101741 plus 0.5?
-101740.5
Calculate -0.651 - 3.
-3.651
Total of -129122 and -4.
-129126
What is -330 take away -449?
119
Subtract 3 from -5348.
-5351
Total of -9 and 0.105.
-8.895
-1214118 - -0.4
-1214117.6
Total of 0.5 and -22447.
-22446.5
Calculate -11 - -0.0726.
-10.9274
What is -4674 minus -0.1?
-4673.9
What is 2964 plus 0.992?
2964.992
Work out 0 - 154.
-154
What is the distance between -29.09 and 2?
31.09
Sum 0.07251 and -1.
-0.92749
Subtract -0.2 from 5073.
5073.2
Add together 0.4 and 21803.
21803.4
What is -0.7 plus 107?
106.3
What is -0.0211 - 0.1?
-0.1211
Put together -0.004 and -0.06.
-0.064
3578617 + 3
3578620
Add together 132 and -0.141.
131.859
-14 - 41459
-41473
-0.4 - 497725
-497725.4
Calculate -678489 + 8.
-678481
Put together -118307 and -0.3.
-118307.3
Calculate -0.1984 - -0.64.
0.4416
What is -17.16 - -2?
-15.16
1583 - -0.09
1583.09
What is 0.52532 + 4?
4.52532
What is -117432 + 0.4?
-117431.6
Sum 0.5 and 837.
837.5
Subtract -0.3 from -627308.
-627307.7
Add together 17330 and 0.4.
17330.4
What is -13 take away -4.2?
-8.8
Sum -0.3 and 1087.
1086.7
Add -2.2 and -67899.
-67901.2
Calculate -0.0926 - -0.04.
-0.0526
Put together -23.99 and 0.
-23.99
Add together 2 and -1226.
-1224
What is -62379 plus -0.5?
-62379.5
What is 592.746 less than 0.3?
-592.446
What is -170 minus 93?
-263
Total of 17 and -773.
-756
Add together -242594 and 0.3.
-242593.7
Total of -0.019 and -5.
-5.019
Work out 9.4 - -1955.
1964.4
Subtract 0.002 from 0.2581.
0.2561
Calculate -0.2 + 14536.56.
14536.36
What is -3 take away 2647?
-2650
Add -6515.23 and 0.
-6515.23
Put together 1.4992 and -132.
-130.5008
Add together -506.96 and -2.
-508.96
What is 738 less than 0.3?
-737.7
What is the distance between -1187 and 336?
1523
-8+-0.575
-8.575
What is 39.7 take away -1?
40.7
What is 0.11 take away -0.00535?
0.11535
What is -0.15399 less than -0.1?
0.05399
What is -3.1 + 32599?
32595.9
Sum -5.73 and -814.
-819.73
Sum -486 and 1974.
1488
Work out -26.4 - 16.
-42.4
What is -0.0320973 plus 5?
4.9679027
Put together 108.6 and 513.
621.6
-0.1+119
118.9
What is -3581600 - -5?
-3581595
What is the difference between 0.0481843 and -0.03?
0.0781843
What is 174991 + -3?
174988
What is -409 less than -34?
375
Put together -186 and -0.4.
-186.4
What is -3 less than 1311424?
1311427
What is -5 minus -6.58146?
1.58146
What is -1.49 minus 90.83?
-92.32
Work out -281242 - -5.
-281237
What is -60.9 less than 0.2565?
61.1565
Sum -8.39 and 25.
16.61
Calculate -5 - -8881.3.
8876.3
4 + -9.73
-5.73
Total of -536 and 0.8.
-535.2
What is 1179.709 minus 5?
1174.709
Total of -12 and -4.069.
-16.069
Work out 2.57 + 2211.6.
2214.17
What is the distance between 0.23 and 3.1?
2.87
What is 0 minus -2549?
2549
What is 3 less than 315877?
315874
What is the difference between -0.5 and -190?
189.5
Work out -1 - -15287.1.
15286.1
What is the difference between -0.5 and 39736?
39736.5
What is -5 + 2.7763?
-2.2237
Subtract 3868 from -20.5.
-3888.5
What is the difference between -352 and -0.06?
351.94
What is 0.5 take away -42733.71?
42734.21
What is -25757.8 minus 5?
-25762.8
What is -2.1003 take away -0.3?
-1.8003
What is -32.96 - 3?
-35.96
Work out -0.9 + -0.07345.
-0.97345
Put together -0.587 and -8719.
-8719.587
3+578
581
Add 22.13 and 0.2.
22.33
What is -0.1293 minus -4.06?
3.9307
What is the distance between -125 and 32?
157
Calculate 288 - -0.282.
288.282
Subtract -4 from 70362.2.
70366.2
What is the difference between 0.3 and 0.4481?
0.1481
Work out 0.7 - 276.
-275.3
What is 5.338 plus -134?
-128.662
-56+-711
-767
Total of 0.24 and 176.
176.24
Put together -0.94785 and -0.6.
-1. | {
"pile_set_name": "DM Mathematics"
} |
6/20)/(-32*37/(-14800)).
15/4
What is the value of -2*(105/(-15))/98?
1/7
Calculate (117/15)/(-13)*(-10)/36.
1/6
What is the value of ((-250)/15)/(-10)*(-108)/(-150)*5?
6
Evaluate ((-9)/(-165))/((-398)/(-1990)).
3/11
What is (-1*2/2)/((-278)/(-834))?
-3
Calculate ((-84)/(-51))/(24/204).
14
Calculate ((-76)/266)/(18/(-14)).
2/9
Evaluate (5/5)/((-12)/2)*18/(-4).
3/4
What is the value of ((-1155)/(-2695))/((-69)/(-7))?
1/23
32/1040*10*(-65)/(-25)
4/5
(15/150*-24)/((-16)/20)
3
What is ((1160/(-16))/(-5))/(((-3)/(-2))/(-3))?
-29
Calculate (((-14)/98)/(1/(-4)))/((-28)/(-35)).
5/7
Calculate (25/(-2))/((116/(-203))/(88/(-77))).
-25
1/3*(-4)/((-36)/27)
1
What is the value of ((-12)/(-30))/(658/(-470))?
-2/7
Calculate (20/105)/(60/(-45)).
-1/7
What is ((-26)/(-117))/(30/(-75))?
-5/9
52*1/(-8)*(-8)/130
2/5
What is 2*2/(-6)*225/(-50)?
3
What is (-48)/(-252)*392/32?
7/3
What is the value of (175/(-14))/25*-9?
9/2
Calculate 27/(405/(-3))*10/(-39).
2/39
Calculate -7*(7/(-98))/((-5)/(-30)).
3
Calculate ((-320)/80)/(20/175).
-35
Calculate -1*18/6*(-15)/(-45).
-1
What is the value of 9/((-10)/(-80)*36)?
2
What is (-2*(-12)/32)/((33/(-121))/1)?
-11/4
((7/3)/(-7))/(28/105)
-5/4
Evaluate (-84)/1078*14*44/(-3).
16
Evaluate ((-2)/(-52))/((-612)/(-408))*2/1.
2/39
0*13/364*2/6
0
What is (1/(-2)*(-4)/(-46))/(1814/3628)?
-2/23
(-12)/(-18)*378/(-36)
-7
What is the value of (-99)/3*(-17)/(-765)*15?
-11
Calculate (48/(-12))/(2/(-4)).
8
What is the value of 4/(-10)*11/((-242)/(-55))?
-1
What is (4/(-8)*5)/((-200)/400)?
5
What is the value of (-2)/30*258/215?
-2/25
Calculate (-32)/(-48)*24/(-48).
-1/3
(-2*1/26)/((-134)/(-268))
-2/13
Evaluate -6*1*(105/175)/((-189)/(-30)).
-4/7
Evaluate (1104/(-230))/(((-12)/160)/((-3)/(-84))).
16/7
What is the value of (2/(1*8))/(((-200)/64)/1)?
-2/25
What is the value of ((-6560)/(-4592))/(4*(-2)/14)?
-5/2
What is (150/5)/(-3)*(20/72)/(-5)?
5/9
What is the value of (18/(-9))/(-2)*4/4?
1
What is the value of -6*((-6)/21)/(2/(-56)*8)?
-6
Calculate ((-2)/4)/(5/11*25/250).
-11
((-7)/((-245)/(-20)))/(27*6/(-63))
2/9
Calculate (-2)/(2/(-20)*-4)*(-21403)/6295.
17
Calculate 1470/(-2520)*-1*12.
7
What is (-12)/((-22)/(-187)*17)?
-6
What is (553/28)/(-79)*28?
-7
90/(-12)*(-34)/595
3/7
What is ((-88)/(-56))/((-20)/70)?
-11/2
What is (((-2)/(-3))/((140/(-126))/10))/(-3)?
2
(-515)/927*3/(-5)
1/3
What is the value of ((-12)/(-42))/((4/2)/28)?
4
What is the value of (-1*2)/((-2)/(-3)*1610/460)?
-6/7
(-54144)/8460*5/1
-32
What is ((252/27)/(-7))/((-8)/(-42))?
-7
Evaluate 6/(-5)*3/((-3150)/250).
2/7
(-5)/(-3)*((-25842)/(-3245))/73
2/11
Evaluate ((-2)/(-14))/(496/2170).
5/8
(((-4545)/2070)/(-101))/((-3)/12*2)
-1/23
What is the value of (7*(-40)/(-420))/((15/(-9))/(-5))?
2
What is 6/(-10)*(-240)/16?
9
Calculate ((-2)/(-5))/(7/5)*(-26348)/(-941).
8
What is the value of (-2)/20*(-1965)/262?
3/4
Evaluate ((-8)/6*(-603)/1608)/(1/2).
1
Calculate (315/(-270))/(21/(-12)).
2/3
What is the value of 1/(((-72)/(-9))/104*-1)?
-13
What is the value of 14/12*16*15/(-840)?
-1/3
Evaluate 3/(-14)*(-8)/72*-12.
-2/7
Evaluate 1495/(-2093)*8/10.
-4/7
What is the value of 10/12*84/(-560)?
-1/8
What is the value of 28/16*4*7/98?
1/2
What is 5/(-2475)*-18*1?
2/55
What is the value of 10/12*(6/15)/(6/90)?
5
What is the value of (315/42)/(-1)*(-2)/(-10)?
-3/2
What is ((12/((-576)/186))/(-1))/(3/24)?
31
Evaluate (((-30)/5)/(-24))/(17/680).
10
Calculate -2*104/65*(-5)/(-140)*-10.
8/7
What is ((-25848)/7180)/(6/(-40))?
24
What is the value of ((-2*1)/(-4))/((-7045)/8454)?
-3/5
Evaluate (9/(-132))/((4/80)/(26/(-65))).
6/11
Calculate (150/990)/(2/11).
5/6
Calculate ((-6)/(-16))/(27/540*-5).
-3/2
Evaluate (2*1/8)/(427/(-3843)).
-9/4
What is the value of 4*(-10)/(8*2*7/(-28))?
10
What is (139/(7228/16))/(4/(-26))?
-2
Evaluate (3*(-10)/9)/(((-375)/(-2))/(-75)).
4/3
What is the value of 429/(-6)*406/2639?
-11
Evaluate ((-12)/(-3)*51/(-510))/((-4)/35).
7/2
Evaluate ((-30)/315*7)/((4/24)/(-1)).
4
Evaluate ((-79)/395)/(-3*9/(-108)).
-4/5
What is ((-36)/8)/3*-5*44/(-14190)?
-1/43
What is the value of 16*(-1)/(-24)*(-3)/2?
-1
70/(-168)*72/40
-3/4
What is the value of (66/33)/(5/(-4)*4/(-60))?
24
Evaluate ((8/(-1824))/(2/(-4)))/((-46)/276).
-1/19
Calculate (-27)/(-45)*-5*1/42*4.
-2/7
Evaluate 40/(-14)*(714/(-136))/(12/(-8)).
-10
Evaluate (39/(30030/(-44)))/((-4)/10).
1/7
(1/9)/(8/60*-5)
-1/6
Evaluate (-4)/10*(-7)/280*-75.
-3/4
Evaluate (2/(-2))/((-6)/(-570)*-25).
19/5
(210/84*4/(-2))/((-5)/(-6))
-6
5*7*(-15)/175
-3
What is (3/((-27)/3))/((-7)/4389*-19)?
-11
What is the value of (808/202)/(4/6*(-6)/20)?
-20
3/(-6)*(-12)/(-36)
-1/6
What is the value of ((-33)/12)/(((-322)/112)/23)?
22
Calculate 12/10*(-8)/(-24)*(-10)/(-108).
1/27
Evaluate (-360)/84*(1400/(-270))/10.
20/9
Calculate (6/28)/((-4731)/(-640262)).
29
What is ((-21)/14)/((7/((-42)/(-45)))/(-3))?
3/5
-5*(-1)/((-70)/(-42))
3
Calculate (180/(-432))/(10/(-6))*(-25)/(-10).
5/8
What is (-45)/35*(-182)/78?
3
Calculate (26/52)/((-1)/(-14)).
7
Evaluate ((-14)/(-3))/(896/168)*8.
7
Calculate (0/(-2))/(40/(420/21)).
0
What is the value of 25/(-6)*394/(-4925)?
1/3
What is the value of ((-36)/5040*-14)/((-1)/4)?
-2/5
Evaluate ((-2)/15)/(70/350)*-1.
2/3
Evaluate (((-72)/10)/(-6))/((-2)/(-20)).
12
Calculate 24/9*6/(-4)*1.
-4
Calculate ((-5)/((-105)/(-9)))/((240/35)/12).
-3/4
What is 9/60*135/(-27)?
-3/4
What is the value of ((-1)/((-27)/6))/((-28)/(-2016))?
16
What is (34/6)/(26*(-33)/(-2574))?
17
Calculate (-5)/2*(-26)/195*9/2.
3/2
Evaluate (-79)/(-1422)*15/4*4.
5/6
Evaluate ((-21)/(-147))/(110/(-154)).
-1/5
Evaluate (-9*(-20)/(-150))/(12/15).
-3/2
Evaluate (((-9)/5)/1)/(33/(-275)).
15
(((-42)/(-3))/(-728))/((-2)/8)
1/13
(4/14)/((-360)/5040)
-4
Evaluate (1/4)/((-243)/2052*-19)*-16.
-16/9
What is the value of ((-63)/42)/((-4)/((-240)/9))?
-10
What is -2*((-375)/(-120))/(-5)?
5/4
Evaluate ((-31)/93)/((-1)/3).
1
Calculate (-618)/(-103)*(144/(-120))/((-3)/5).
12
27/15*((-4420)/(-663))/(1/(-2))
-24
Evaluate 4/(-10)*75/105.
-2/7
((-966)/(-92))/((-6)/(-8)*(-22)/33)
-21
What is (-1*6/(-28))/(-15*(-12)/(-480))?
-4/7
Calculate 9/(-162)*-9*(-3)/((-30)/(-4)).
-1/5
Calculate 58/377*39/(-12).
-1/2
Calculate 42/(-12*(-8)/(-48)).
-21
What is the value of (-9)/(-3)*3*((-198)/(-11))/18?
9
What is the value of (-108)/8*(18/(-243))/((-5)/135)?
-27
((7/(-12))/((-18)/(-36)))/(7/(-126))
21
What is 36/(-170)*960/(-576)?
6/17
What is the value of ((-9)/(-6))/((-110)/(-132))*(-20)/48?
-3/4
Calculate (9/12)/((-36450)/3240).
-1/15
What is (4*(-8)/880)/((-5)/100)?
8/11
What is the value of (86/387)/((-6)/81)?
-3
What is (((-100)/(-9))/(-5))/4?
-5/9
Evaluate (32/(-112))/((-80)/(-140)).
-1/2
Calculate 1*((-24)/224*-7)/3.
1/4
What is (-490)/150*13/((-364)/24)?
14/5
((-1)/(-1))/(21/3465*-15)
-11
Evaluate 3213/918*1*2.
7
Calculate 4/(-10)*(-2160)/2736*(-2)/2.
-6/19
Evaluate 20/80*-3*32/(-66).
4/11
Calculate (35/21)/((-8)/(-8)).
5/3
Calculate (-64)/(-96)*-3*3/33.
-2/11
(4/4)/((-2)/58*(-15)/15)
29
Calculate 10/225*5*14*(-6)/(-8).
7/3
-11*-2*(-3)/4*(-68)/187
6
Evaluate (21/(-56))/(-1*51/136).
1
Evaluate (50/(-55))/(40/440).
-10
What is the value of (1976/380)/((-16)/10)?
-13/4
Calculate (28/(-616))/(-1*(-2)/(-11)).
1/4
What is the value of ((-3)/9)/((14/49)/((-36)/(-21)))?
-2
What is (15/((-25)/(-5)))/((-2)/20*6)?
-5
What is (-10)/111*1383/(-2305)?
2/37
(6/(-20))/(66/(-1320))
6
(-12)/75*(-10)/(-14)*10/4
-2/7
Evaluate (16/26)/(76/8*(-184)/(-874)).
4/13
(-1950)/(-780)*96/15
16
What is ((5/(-6))/((-65)/26))/(221/102)?
2/13
((-58)/(-290))/((-8)/2)*2/1
-1/10
What is the value of (4/7)/((-874)/4347*-27)?
2/19
What is the value of (117/(-135))/13*((-100)/(-24))/5?
-1/18
Calculate ((92/(-1794))/(1/(-26)))/((-2)/(-9)).
6
Evaluate (-243)/(-162)*(-9)/((-27)/2).
1
What is (1260/54)/(126/108)?
20
Calculate (-22)/(-11)*(-3)/5.
-6/5
What is the value of (-106)/53*5/(-1)?
10
((-220)/121)/(-2*(-14)/(-616))
40
Evaluate (4/(-24)*3)/(20/48).
-6/5
What is 45/(-6)*(-52)/156?
5/2
Evaluate (1/(322/8))/((-234)/819).
-2/23
Evaluate 12/8*120/(-45).
-4
6/45*(-680)/34*(-9)/(-3)
-8
Evaluate ((-20)/(-22))/5*209/(-285).
-2/15
Evaluate (4/(-20))/(5/(-275)).
11
Evaluate (-22)/22*504/28.
-18
(768/(-960))/(1/15)
-12
(-8)/7*(-119)/340
2/5
(63/360*-12)/(-3)*16/14
4/5
What is (((-68)/216)/17)/((-7)/(-28))*3?
-2/9
What is (18/ | {
"pile_set_name": "DM Mathematics"
} |
n -d - 664*d**2 + 7*d**2 + 0*d + 116*d**2.
-541*d**2 - d
Collect the terms in -1442*u**2 - 6080*u**2 + 7519*u**2.
-3*u**2
Collect the terms in 2047*i - 2047*i + 22*i**3 + 8.
22*i**3 + 8
Collect the terms in 2*c**2 + 6*c**2 + 375 - 375 + 11*c**2.
19*c**2
Collect the terms in -28572*h - 28635*h + 57211*h.
4*h
Collect the terms in -r**2 + 495 - 189 - 163 - 160.
-r**2 - 17
Collect the terms in -35*t + 265*t + 170*t.
400*t
Collect the terms in 520*i**2 + 515*i**2 + 509*i**2 - 1526*i**2.
18*i**2
Collect the terms in -5*j**2 - 36666289*j + 36666289*j.
-5*j**2
Collect the terms in 208*n**2 - 179*n**2 - 25*n**2.
4*n**2
Collect the terms in 1229 + 1226 + 1228 + 1091 - 5*l - 4774.
-5*l
Collect the terms in -563*m**3 - 524*m**3 + 2*m**2 - 527*m**3 + 2019*m**3 - 533*m**3.
-128*m**3 + 2*m**2
Collect the terms in -486*y**3 - 9*y**3 + 245*y**3 + 253*y**3.
3*y**3
Collect the terms in -1916*g - 39*g**3 + 1916*g.
-39*g**3
Collect the terms in 289*q**2 - 692 + 692 + 292*q**2.
581*q**2
Collect the terms in 2*q**3 + 2006 - 639 - q**3 - 723 - 644.
q**3
Collect the terms in -3253*y**2 - 20999*y**2 - 11756*y**2.
-36008*y**2
Collect the terms in 181*y + 156*y - 533*y + 187*y.
-9*y
Collect the terms in -3 - 47*h**3 + 25*h**3 - 6 + 20*h**3 + 0.
-2*h**3 - 9
Collect the terms in -806*m**3 - 15 + 4 - 179*m**3 + 9.
-985*m**3 - 2
Collect the terms in 58*t**3 + 66*t**3 + 61*t**3 - 187*t**3.
-2*t**3
Collect the terms in 5 - 10936*c - 5.
-10936*c
Collect the terms in 33*g**3 - 118*g**2 + 118*g**2 - 3.
33*g**3 - 3
Collect the terms in 5 + 3 - 1850*u - 8.
-1850*u
Collect the terms in -163*c - 127 + 127 + 151*c.
-12*c
Collect the terms in 636*t + 646*t - 1284*t + 6.
-2*t + 6
Collect the terms in 198934*v + 3 - 198933*v + 0 - 3.
v
Collect the terms in 353411868360 + z - 353411868360.
z
Collect the terms in -8*o**2 + 1 - 9*o**2 + 7*o**2 - 6.
-10*o**2 - 5
Collect the terms in -2*d + 0*d + 31*d**2 + 11*d**2 + 0*d.
42*d**2 - 2*d
Collect the terms in 14 + 95*x - 40*x - 39*x - 14.
16*x
Collect the terms in -2066*j + 4100*j - j**2 - 3*j**2 - 2034*j.
-4*j**2
Collect the terms in 215*b - 190*b + 16*b - 586*b.
-545*b
Collect the terms in 4*m**2 - 2*m**2 - 6 + 41 - m**2.
m**2 + 35
Collect the terms in 10800 - 5834 - 2*g + 14219.
-2*g + 19185
Collect the terms in 1 + 6*b**2 - 25 + 4*b**2 + 2*b - 3*b**2.
7*b**2 + 2*b - 24
Collect the terms in -4160*j**2 - 4203*j**2 + 8331*j**2.
-32*j**2
Collect the terms in 0*a + 0*a - 13*a**3 + 6*a**3.
-7*a**3
Collect the terms in -533*t**2 + 6*t**3 - 422*t**2 + 955*t**2.
6*t**3
Collect the terms in 293 - 4*s**3 + 5177*s**2 + 9*s**3 - s - 291.
5*s**3 + 5177*s**2 - s + 2
Collect the terms in 2 - 855*n**2 - 2 + 435*n**2 + 423*n**2.
3*n**2
Collect the terms in i**3 + 4*i**3 - 504*i + 997*i - 8*i**3 - 493*i.
-3*i**3
Collect the terms in -34*g**2 + 182566 + 38*g**2 - 182566.
4*g**2
Collect the terms in 5*s + s + 9*s - 4*s - 1.
11*s - 1
Collect the terms in -1822*h + 897*h + 924*h.
-h
Collect the terms in 175 + 207 + 7*o**3 - 382.
7*o**3
Collect the terms in 15 + 56*q - 11 + 41*q - 13.
97*q - 9
Collect the terms in -12181*y - 7*y**2 + y**2 - 12163*y + 24344*y.
-6*y**2
Collect the terms in -s**2 + 48414*s**3 + s**2.
48414*s**3
Collect the terms in 1313*z**2 - 102*z**2 + 335*z**2 + 18*z**2.
1564*z**2
Collect the terms in 738077*m + 738074*m - 1476158*m.
-7*m
Collect the terms in 67 - 67 + 41691*g**2 + 5918*g**2.
47609*g**2
Collect the terms in -1207*v**2 - 2916*v**2 - 92*v**2.
-4215*v**2
Collect the terms in 9431 - 9431 - 2697*c**3.
-2697*c**3
Collect the terms in 13121*p**3 - 2*p + 2*p + 17816*p**3.
30937*p**3
Collect the terms in -60*c + 58 + 61*c + 81 - 194 + 73.
c + 18
Collect the terms in -1 - 336*r**2 - 321*r**2 + 1.
-657*r**2
Collect the terms in -42105*q - 104992*q - 15158*q.
-162255*q
Collect the terms in 4*v - 63 + 41 + 284 + 2*v**2.
2*v**2 + 4*v + 262
Collect the terms in 11 + a - 2*a - 91 - a.
-2*a - 80
Collect the terms in -1962522*m + 1962522*m + 2*m**3.
2*m**3
Collect the terms in 60*h + 18*h - 11*h - 67*h - 2*h**3.
-2*h**3
Collect the terms in -3*v**2 - 12*v + 9*v + 3*v + 564.
-3*v**2 + 564
Collect the terms in -872*l**3 + 2568*l**3 - 2*l**2 - 868*l**3 + 2*l**2 - 831*l**3.
-3*l**3
Collect the terms in -10*o + 11*o - 2 + 64*o + 19*o**3.
19*o**3 + 65*o - 2
Collect the terms in 2*q - 518 + 1204 - 686.
2*q
Collect the terms in 7 - 89*k + 1 - 2*k**2 + 3*k**2.
k**2 - 89*k + 8
Collect the terms in 0*l**3 + 1 + 2*l**3 + 617*l - 3*l**3 + 3.
-l**3 + 617*l + 4
Collect the terms in -33*d + 2 + 68*d - 32*d - 2.
3*d
Collect the terms in -1588*u + 823*u + 802*u - u**2.
-u**2 + 37*u
Collect the terms in -954 + 339 + 305 + 310 + 7*p.
7*p
Collect the terms in -4 - 1 + 5 + 332*v**2.
332*v**2
Collect the terms in 34*u + 39*u - 68*u - 25 - 4*u.
u - 25
Collect the terms in 47*v - 41*v - 2 + 29*v + 7 - 48*v.
-13*v + 5
Collect the terms in -1 + 1 - 311479*p.
-311479*p
Collect the terms in -213*t - 192*t + 725*t - 212*t - 179*t.
-71*t
Collect the terms in 3080*k - 9247*k + 3080*k + 3083*k.
-4*k
Collect the terms in 4360*r**2 - 5343*r**2 + 976*r**2.
-7*r**2
Collect the terms in -110*a**2 - 155*a**2 - 55*a**2.
-320*a**2
Collect the terms in 113*y + 198*y - 76*y + 4.
235*y + 4
Collect the terms in -88*h**3 + 173*h**3 - 112*h**3.
-27*h**3
Collect the terms in -5701*t + 17100*t - 5689*t - 5695*t.
15*t
Collect the terms in 7*n**2 - 24*n**2 + 15*n**2 + 14*n**3.
14*n**3 - 2*n**2
Collect the terms in -24*y + 4080*y**2 + 4085*y**2 - 8168*y**2.
-3*y**2 - 24*y
Collect the terms in 38*l - 308*l**3 - 38*l.
-308*l**3
Collect the terms in 59*v - 143*v + 2 + 222*v + 195*v.
333*v + 2
Collect the terms in -4 - 457*u - 147*u - 1 + 5 + 601*u.
-3*u
Collect the terms in -29*x - 227*x**2 - 17*x + 46*x.
-227*x**2
Collect the terms in -5*w + 11*w**2 - 8*w + 12*w + 2*w - 3*w.
11*w**2 - 2*w
Collect the terms in -897391948228 + 897391948228 + 3*p.
3*p
Collect the terms in 4*d - 6*d - 83*d.
-85*d
Collect the terms in -31906*o + 63803*o + 1 - 1 - 31894*o.
3*o
Collect the terms in -9855*u - 2 - 144*u**2 + 9855*u.
-144*u**2 - 2
Collect the terms in -1 + 340*p**2 + 1104*p - 1104*p.
340*p**2 - 1
Collect the terms in -3*x - 684 + 3*x + 684 - 11*x**2.
-11*x**2
Collect the terms in -427*s**2 - 420*s**2 - 417*s**2 - 426*s**2 + 1700*s**2.
10*s**2
Collect the terms in -7549*a - 893*a**2 + 878*a**2 + 7549*a.
-15*a**2
Collect the terms in 10*w**2 - 3003 + 6027 - 3024.
10*w**2
Collect the terms in 793*f + 676*f - 1468*f.
f
Collect the terms in -2055*d**3 - 91*d**2 + 91*d**2 + 2119*d**3.
64*d**3
Collect the terms in 7*g - 8 - 6*g + 3*g + 7*g.
11*g - 8
Collect the terms in 36*i + 44*i - 107*i - 115*i.
-142*i
Collect the terms in 234*i + 7*i**2 - 851*i + 387*i + 230*i.
7*i**2
Collect the terms in -257 - 351*h**2 - 261 + 517.
-351*h**2 - 1
Collect the terms in 20*z - 43*z + 203 + 19*z.
-4*z + 203
Collect the terms in 310*g + 61*g + 5 - 384*g.
-13*g + 5
Collect the terms in 35*d + 30*d + 27*d - 121*d.
-29*d
Collect the terms in 62 - 6*v + 126 - 188.
-6*v
Collect the terms in 0*p - 36 - 4*p - 61 - 195.
-4*p - 292
Collect the terms in 3*j**2 + 2 - 6 + 3 + 3 - 3302*j.
3*j**2 - 3302*j + 2
Collect the terms in -15454*y**2 + 37*y + 36*y - 73*y.
-15454*y**2
Collect the terms in 65*l + 113*l + 102*l - 518*l + 113*l + 112*l.
-13*l
Collect the terms in 5547129 - 11*z - 5547129 + 3*z**2.
3*z**2 - 11*z
Collect the terms in -20*b**2 + 20*b**2 + 928*b**3 - b + 3*b.
928*b**3 + 2*b
Collect the terms in 122*o + 21*o**3 + 0 - 4 - 122*o + 12*o**3.
33*o**3 - 4
Collect the terms in -34 - 21*t**2 + 59*t**2 - 37*t**2.
t**2 - 34
Collect the terms in -1625 + 33*l**3 - 2*l**2 + 28*l**3 - 62*l**3.
-l**3 - 2*l**2 - 1625
Collect the terms in 314*v + 40 + 42 - 82.
314*v
Collect the terms in -25823*h + 13249*h + 12575*h.
h
Collect the terms in -689*s**2 + 224*s**2 + 222*s**2 + 243*s**2 - 3*s**3.
-3*s**3
Collect the terms in 55*u - 6 + 8 - 8 + 27*u.
82*u - 6
Collect the terms in 400*d + 401*d + 397*d + 394*d + 391*d - 1993*d.
-10*d
Collect the terms in 10 + 21 - 32 - 14*v.
-14*v - 1
Collect the terms in -755*g**2 - 759*g**2 + 1514*g**2 + 87*g**3.
87*g**3
Collect the terms in 44*t**3 - 547*t**3 + 70*t**3 + 136*t**3.
-297*t**3
Collect the terms in -2364*u**2 + 2189*u**2 + 174*u**2.
-u**2
Collect the terms in -5*u**2 - 7 - 9 - 16*u**2 + 19 - 2.
-21*u**2 + | {
"pile_set_name": "DM Mathematics"
} |
n.
-495
Express -p + 2*p + p - 12*p + 0*p - 17*p + (1 - 1 + 2*p)*(-1 + 0 + 0) in the form i + t*p and give t.
-29
Rearrange -29*z - 2*z**2 + 0 - 1 - 62*z to a*z**2 + i + c*z and give a.
-2
Express (6 - 1 - 8)*(-28*p + 2*p - 9*p)*(-6 + 6 - 3*p)*(0*p - 2*p + 0*p) in the form o*p**3 + r*p**2 + c*p + a and give o.
630
Rearrange 0*y**3 - 5*y**3 - 8*y**3 + (0*y**2 + y**2 + y**2)*(28*y + 28 - 14 - 13) to the form a + j*y**3 + o*y**2 + c*y and give j.
43
Rearrange -401 - 2*u**3 + 790 - 9*u - u**4 - 394 + 3*u to h*u**4 + k*u + b*u**2 + q*u**3 + y and give q.
-2
Rearrange 298*q + 39 - 17 - 11*q - 9 - 12 to t + j*q and give t.
1
Express -2*n**2 - 3*n**2 - n**4 + 10537*n + 2 - 10532*n in the form a*n**3 + b + x*n + t*n**2 + u*n**4 and give t.
-5
Express -4*o**2 + 3*o**3 + 152 - 79 - 2*o - 78 in the form q*o**2 + a*o**3 + f*o + b and give a.
3
Rearrange 296 - 93 - 92 - 3*m - 101 to c + u*m and give u.
-3
Rearrange (13352 - 13352 - 57*s)*(-6*s + 6*s + 3*s**2)*(s + s - s) to the form v*s**2 + i*s**4 + m*s**3 + j*s + n and give i.
-171
Rearrange ((40 + 29 - 21)*(-y + 3*y - 4*y) + 2*y - 3*y + 3*y)*(-2*y + 3 - 3) to the form j*y**2 + v + b*y and give j.
188
Express -9*y**2 - 8*y**3 + 6*y**3 + 1 + 2*y**3 + 13*y**2 - y**4 + 2*y**3 as h*y + c + b*y**2 + s*y**3 + k*y**4 and give c.
1
Express 3*l + 8*l - 12*l + 10*l**4 - l**3 in the form z + a*l + r*l**3 + v*l**2 + j*l**4 and give j.
10
Express -681 - 459*a + 337 + 344 as f + q*a and give q.
-459
Rearrange (-1 + d + 1)*(d + 2*d - 2*d) - 12 - 9*d**2 + 12099*d - 12099*d to w + c*d + z*d**2 and give w.
-12
Express -36347*b + 36345*b + 1 + 20*b**3 - 2*b**3 + (2 - 2 - 2*b)*(-6*b**2 - 2*b**2 + 13*b**2) as h + o*b**2 + i*b**3 + q*b and give i.
8
Express -519 + 1062 - 543 - 1477*a as p*a + i and give p.
-1477
Express 9*j - 6*j - 16*j + (2 - 2 + 2*j)*(0 + 2 - 5) + 7*j + 17*j + j as a + g*j and give g.
6
Express (-15*g - 33*g + 19*g)*(7*g - 6 + 6) in the form c*g**2 + l + u*g and give c.
-203
Rearrange (2*i + 0*i - i)*(-160*i - 96*i + 255*i + 123) to the form s*i**2 + o*i + f and give o.
123
Rearrange (50*q + 38*q - 33*q)*(-q + q + 4*q)*(2 - 3 + 2) to p*q + o*q**2 + f and give o.
220
Rearrange (u + 2*u - u)*(u**3 + u - u) + 40*u**4 + 0*u**4 - 14*u**4 - 2*u**4 - u**2 + u**2 to i*u + z*u**4 + s + d*u**3 + n*u**2 and give z.
26
Rearrange -913*g**3 + 192*g**2 + 476*g**3 + 438*g**3 to k*g + x*g**3 + l*g**2 + h and give x.
1
Express -1 + 112504*h - 112502*h + 448*h**2 + 0 as l*h + i*h**2 + u and give l.
2
Express (0 + 3 + 0)*(-4 + 1 + 2)*(-997*b + 997*b - 47*b**2) as a*b + p*b**2 + o and give p.
141
Rearrange 2*c**2 + 4*c**4 - 2*c**2 + (5*c**3 + 0*c**3 - 4*c**3)*(-12*c - 14*c - 21*c) - 4 + 4 + c**4 to the form p + x*c**3 + y*c**4 + h*c + o*c**2 and give y.
-42
Express 2*a**2 + 5*a**4 - 3*a**4 - 9*a**2 - 2*a in the form t*a**4 + d + o*a**2 + u*a + b*a**3 and give u.
-2
Rearrange (-47*l**2 + 115*l**2 + 29*l**2)*(2 + 1 - 1)*(2*l + 1 - 1) to b*l**3 + t*l**2 + w*l + c and give b.
388
Express -2 + 10*m**2 - 15*m**2 - 2*m + 6*m**2 + 0*m**2 - 22*m**3 as r*m + q*m**2 + g*m**3 + u and give u.
-2
Express (-3 + 3 + y)*((-y + y - 4*y)*(6 - 2 - 2) + (-3*y - 8 + 8)*(2 + 4 + 1)) in the form a + u*y**2 + r*y and give u.
-29
Express -43*c + 25*c**4 + 42*c - 94*c**2 - 2 + 94*c**2 - 2*c**3 as y*c**3 + q*c**4 + u*c + j + z*c**2 and give u.
-1
Rearrange -19 + 4 + 248*t**2 + 580*t**2 + 15 to u + s*t**2 + z*t and give s.
828
Rearrange -322 + 63*t - t**2 + 322 to the form x*t + f + k*t**2 and give x.
63
Express -7*p**2 + 3*p - 11*p**2 - 5*p + 5*p**3 - p**3 - 2*p**3 as j + l*p**2 + m*p + o*p**3 and give o.
2
Express -2*i**3 - i**3 + 5*i**3 + (-3*i + 0*i + i)*(i**2 - 3*i**2 + i**2) + (-2*i**2 + i**2 + 2*i**2)*(0*i + 0*i - i) as n*i**3 + l*i + t + d*i**2 and give n.
3
Rearrange 0*u**2 + 2*u**2 - u**2 + (3*u - 3*u + u)*(u + 0 + 0) - 3423*u + 3423*u + 133*u**2 to the form n + f*u + y*u**2 and give y.
135
Rearrange 2007 - 2007 - 641*k to the form d*k + w and give d.
-641
Rearrange 2 + o**2 - 2*o**3 + o**3 - 38*o**4 - 2 to s*o**3 + q + y*o + j*o**2 + m*o**4 and give j.
1
Rearrange (1562*x**2 + 4 - 1562*x**2 - 5*x**3)*(2 + 1 - 5) to the form t*x**2 + l*x**3 + b*x + i and give i.
-8
Rearrange 0*m + 0*m - m + (0*m + m + 20*m)*(-5 - 1 + 4) to x*m + s and give x.
-43
Rearrange (-28 - 8 - 3)*(-7*n - 4*n + 6*n) to the form c*n + b and give c.
195
Express 14*h**3 + h**2 - 8*h**3 - 23*h**4 + 22*h**4 - 3 as j*h**3 + g*h + i*h**2 + q*h**4 + x and give j.
6
Rearrange 6*x + 58*x + 335*x to f*x + g and give f.
399
Rearrange (49 + 22 - 2)*(4 + 4 + 1)*(-3*o**2 + 0*o**2 + 5*o**2) to l + y*o**2 + j*o and give y.
1242
Rearrange 11*w + 28*w**3 - 1 + 2*w - 16*w to h + a*w + r*w**2 + k*w**3 and give a.
-3
Rearrange 3 + 5*w - 3 + 2 + 25*w - 2 + (7*w - 3*w - 2*w)*(-1 + 3 + 0) to p + o*w and give o.
34
Rearrange (-9*y + 2 - 18*y - 11*y)*(-9 + 1 - 22) to the form b + l*y and give b.
-60
Express -125*j**3 + j**2 - j + j**4 - 2 - 3*j**4 + 2*j + j + j**4 as k*j**3 + n*j**2 + x + y*j + i*j**4 and give y.
2
Rearrange (8 - 8 + 7*u**2)*(3*u**2 - 2 - 2*u**2 - 13) to the form x*u**2 + b + v*u + s*u**3 + n*u**4 and give s.
0
Express (-2*y - 1 + 1)*(-80*y - 86*y - 82*y + 248*y - 3993*y**2) in the form k*y + t*y**2 + o*y**3 + m and give o.
7986
Express -1184*t**3 - 542 + 543 + 121*t**3 in the form r*t**2 + j*t + y*t**3 + a and give y.
-1063
Rearrange 30*v**3 + 128*v**4 + 191*v**3 - 127*v**4 + 2*v to the form a + u*v**4 + f*v**2 + o*v + j*v**3 and give u.
1
Express 329 - 4*z**2 - 328 - 2*z + 6*z as x*z**2 + b + v*z and give x.
-4
Express -2924 + 696*w + 2924 as q*w + n and give q.
696
Rearrange 0*i + 0*i + i**4 + (-4*i**3 + 0*i**3 + 6*i**3)*(4 - 2 - 1)*(2*i + 15*i - 9*i) to the form r*i**2 + w*i**4 + f*i + v + a*i**3 and give w.
17
Express (-2*r - 3*r + 7*r)*(3*r**2 + 5*r - 5*r) + 14*r**3 - 16*r**3 - 27*r**3 in the form l*r**2 + h + f*r + k*r**3 and give k.
-23
Express -223*q - 82 + 43 - 3*q**2 + 39 as k*q + r + t*q**2 and give k.
-223
Rearrange (-3*u**2 + 4*u + u**2 + 3*u**2)*(-16 + 3 - 1) to the form x*u**2 + c*u + y and give x.
-14
Express (9 + 14*l**2 - 9)*(l**2 - 3*l**2 + 3*l**2 + (0*l + 2*l - l)*(-10*l - 6*l - l)) in the form q*l**4 + y*l**2 + z + g*l**3 + u*l and give y.
0
Express -4*d**3 - 72*d**2 + 9 - 9 + d + 74*d**2 as o*d**2 + g*d**3 + a*d + x and give o.
2
Express 60*b - 2 + 2 + 184*b + 3 in the form w + u*b and give w.
3
Express (4 - i**4 - 4)*(7 + 5 - 16 + (-2 + 0 + 3)*(4 - 1 - 2) + 2 + 0 + 0) as u + o*i**3 + v*i**2 + m*i + x*i**4 and give v.
0
Rearrange -4*g**3 + 3*g**3 + 2*g**3 + (-1 + 2 + 1)*(-2 + 2*g**3 + 2) - 35*g**3 + 4 + 64*g**3 - 4*g - 28*g**3 to o*g**2 + h*g + c + k*g**3 and give c.
4
Express 48*o + 708 - 16*o - 22*o - 12*o as s*o + q and give s.
-2
Express 5 - 4*r**4 + 24 + 3*r - 12*r**4 + 13*r**4 - 2*r**2 - r as u*r**2 + s*r**4 + z*r**3 + a*r + f and give a.
2
Express (3*s - 3*s + 2*s**3)*(5 - 1 + 0)*(72 + 60 - 72) as h*s**2 + l + n*s**3 + q*s and give n.
480
Rearrange (-2*z - 4*z + 3*z)*(31 + 42 - 68) to the form n + k*z and give k.
-15
Express -7*h**3 + 7*h - 114*h**2 + 3 + h**4 + 5*h**3 + 112*h**2 as k*h**2 + c*h**4 + o*h**3 + u + x*h and give u.
3
Express (-b + 1 - 1)*(-b + 0*b - 2*b)*(-b + b + 2*b) - 16*b**3 - 13*b**3 + 6*b**3 as k*b + q*b**3 + i*b**2 + n and give q.
-17
Express -94 + 7 + 85 + 25*q**2 + 4*q**3 as g + c*q**2 + m*q + k*q**3 and give g.
-2
Rearrange -109 + 251 + 2*q**4 - 118*q**3 - 5*q**2 - 141 to t + x*q + g*q**2 + p*q**3 + a*q**4 and give g.
-5
Express -8 - 4 + 1690*w + 14 - 2 in the form t + n*w and give n.
1690
Rearrange -2*p - 12 + p + p**4 + 2*p + 7 to m*p**4 + k*p + v + y*p**2 + c*p**3 and give k.
1
Rearrange (-4 + 4 - 3*g)*(-2*g**2 + g**2 + 3*g**2) - 14*g**3 + 13 - 20 + 8 to c*g**2 + j + o*g + z*g**3 and give j.
1
Express -6*f + 3 - 2*f - 6*f - 23*f in the form k*f + x and give k.
-37
Express 32 + 2*f - f**2 - 37 + f**3 - 2*f as r*f**3 + b*f**2 + w + d*f and give w.
-5
Rearrange n - n**4 + 2473 - 4906 + 2546 to a*n**3 + s + w*n + k*n**2 + i*n**4 and give w.
1
Rearrange 35*p**3 - 76*p**3 + 9*p**3 - 169*p**2 - 2 + 31*p**3 - 2*p to o*p**3 + u + h*p + y*p**2 and give h.
-2
Express -13 - z**2 - 11 + 5*z**2 - z + 22 in the form s*z + n + w*z**2 and give w.
4
Rearrange -3 + 3 - 4*b + (-5*b + 5*b - 2*b)*(1 - 1 + 2) - 10*b - 12*b - 31*b - 25*b to r + n* | {
"pile_set_name": "DM Mathematics"
} |
Suppose 40 = -0*c + 10*c. Sort p, -3, -1, c in descending order.
c, p, -1, -3
Suppose -12 = -2*p - 2*p. Let s = -579 + 496. Put 5, s, 2, p in descending order.
5, p, 2, s
Let a = -233 + 234. Put -4, -1, 3, a in descending order.
3, a, -1, -4
Let a be 50/(-8) - -1 - (-282)/1128. Let l = 11 - 2. Let v be (-6)/l + 1/(-3). Put v, a, -4 in decreasing order.
v, -4, a
Let s = -5604 + 5602. Let m be ((-19)/(-4))/((-1)/(-4)). Put m, s, -3 in descending order.
m, s, -3
Let b be ((-22)/6)/((-2)/12). Let q be (-1)/(-2)*(-8)/b. Let r = 22.96 - 21.96. Put -1/4, r, q in decreasing order.
r, q, -1/4
Let x = 30 - 35. Let a = -0.5 - -3.5. Put a, x, 5 in descending order.
5, a, x
Suppose f = 3*f - 8. Let u = 1353 - 1352. Sort f, u, -4 in increasing order.
-4, u, f
Suppose -33*g + 0 = -66. Let c = -1 + 1. Put c, -2, g in ascending order.
-2, c, g
Let l = 13 - 11.8. Let r = -1 + l. Let z be 1 + (1 - (-32)/36*-2). Sort z, -1/3, r in descending order.
z, r, -1/3
Let x be 4/6*(-6)/38. Let k = -0.7 - -24.1. Let n = 23 - k. Sort n, x, 0.1.
n, x, 0.1
Let r = -2.94 - 0.06. Let k be 11/((-242)/(-48)) + (1 - 3). Sort k, -1/3, r.
r, -1/3, k
Suppose 2*j - 6 = -2*g, j = -0*j - 3*g + 13. Let b = -6 - -5. Let c be (-8)/(-2)*(b - j). Put -1, 0, c in descending order.
c, 0, -1
Suppose -5*r + 24 = -16. Suppose 4*u - 2*u = r. Put 0, -11, u in decreasing order.
u, 0, -11
Suppose -37 + 1 = -2*i - 2*k, -16 = -4*k. Let z = i + -13. Put 3, 0, z in decreasing order.
3, z, 0
Let h = -17.4 + 12.4. Sort -6, h, 0.2, -0.1 in decreasing order.
0.2, -0.1, h, -6
Suppose -2*o = 10*c - 6*c + 72, 3*o + 28 = -c. Put c, -3, -5 in increasing order.
c, -5, -3
Let t = -3/311 - -4671/622. Sort 2/3, 4/7, t in increasing order.
4/7, 2/3, t
Let i be -9 + 11/(-55)*-35. Sort -79, -3, 2, i in descending order.
2, i, -3, -79
Let h = -636 + 637.3. Sort 3/4, 1/10, h, -1/8 in descending order.
h, 3/4, 1/10, -1/8
Let i = -0.19 + -0.04. Let q = -0.17 + i. Let a = -0.47 - 0.03. Put 5, q, a in descending order.
5, q, a
Let x be (-5)/(-6) - 26/(-12). Let g = -2 - -2.03. Let n = g + -0.43. Sort x, n, -0.1 in increasing order.
n, -0.1, x
Suppose -9*b - 5 = 13. Let s = -8 + 12. Let x be s/1*(-10)/8. Sort x, b, 0 in decreasing order.
0, b, x
Let n = -2069 - -2073. Sort -2, n, -9 in decreasing order.
n, -2, -9
Suppose -4*k + 10 = 4*a + 18, 10 = -2*k - 5*a. Sort -9, -2, 3, k in decreasing order.
3, k, -2, -9
Let g be (-4)/(-34) - 48872/697. Put g, -3, -5 in decreasing order.
-3, -5, g
Let v = -3.87 + -0.13. Let q = -467.05 - -453. Let a = q + 14. Put 0.2, a, v in decreasing order.
0.2, a, v
Let p = 1.6 - 2. Let n be ((-18)/45)/((-2)/(-20)). Let k be ((-3)/n)/((-9)/(-24)). Put 0.3, p, k in ascending order.
p, 0.3, k
Suppose -114 = -51*q + 141. Sort -4, q, 10 in ascending order.
-4, q, 10
Suppose -3 = -0*f - f. Suppose 1 + 11 = f*z. Suppose z*h + 9 - 21 = 0. Sort 2, h, -5 in increasing order.
-5, 2, h
Let z = -626.4 - -626. Sort -9/4, -5, 1/9, z in decreasing order.
1/9, z, -9/4, -5
Let a = 3932 + -3926. Let x be 32/(-12) - 1/3. Suppose -1 = -d + 3. Sort a, d, x in decreasing order.
a, d, x
Suppose -3*q - 4*i - 4 = -2*i, 5*i = -25. Suppose -q*c = 2*c - 20. Suppose -9*k + 33 = 42. Sort k, c, -3 in decreasing order.
c, k, -3
Let d = -0.1 + -0.1. Let h(a) = -a**3 + 3*a**2 + 6*a - 3. Let j be h(4). Suppose b - 4*o - 17 = -3, 0 = j*o + 20. Sort 2/3, b, d in decreasing order.
2/3, d, b
Let i = 0.0421 + -0.0421. Sort -1/2, i, -5, -8 in increasing order.
-8, -5, -1/2, i
Let w be 34/(-6) + 1/(-3). Let f be ((-4)/w)/(17/(-3)). Let u be 0 + -1 - 700/(-980). Sort 2, u, f in decreasing order.
2, f, u
Suppose 27*u - 34 = -7. Put u, 6, 4 in increasing order.
u, 4, 6
Suppose 2*c + 3 + 49 = 0. Let d = c + 29. Sort 8, 1, d.
1, d, 8
Let n = -5 + 4.6. Let u be 30/8 + 2/8. Let o be u/((-3)/(-6)*2). Put -1/3, n, o in increasing order.
n, -1/3, o
Let y be 8/(-8) + (-1)/((-2)/6). Sort y, 6, 5 in descending order.
6, 5, y
Let m be ((-18)/21)/((-2)/14). Let z = -11437/63206 + -5/5746. Sort z, 3, 5, m in increasing order.
z, 3, 5, m
Let g(d) = d**3 + 21*d**2 - 3*d - 61. Let h be g(-21). Sort h, -10, 1.
-10, 1, h
Suppose 2*s - 8 - 2 = -2*t, 5*s = 25. Sort t, 101, 1 in increasing order.
t, 1, 101
Let d be (6 + (1 - 9))/(-9). Put 2/5, d, 69 in ascending order.
d, 2/5, 69
Suppose -5*c - 104 = 3*c. Let m be (c - -3)*(-6)/225*3. Suppose -4*f - 14 = 2*t, t = 5*t + 2*f - 2. Sort -0.4, t, m.
-0.4, m, t
Let f = 125 - 121. Let t be (-372)/(-90) - (f + 0 + 0). Put 1, -0.05, t in descending order.
1, t, -0.05
Let t = 0.3 + 0.2. Let r = -518 - -1550/3. Put -1, r, t in descending order.
t, -1, r
Suppose 17 = -5*k - 83. Let m be ((-2)/k)/(5/60). Let a be (9/(-6))/((-42)/28). Sort m, a, -1/8 in ascending order.
-1/8, a, m
Let q = -5954 - -5956. Let r be 2/(-8) - 14/8. Put -4, r, q, 5 in increasing order.
-4, r, q, 5
Suppose -6*z + 207 - 213 = 0. Sort -4, 4, z, 1 in decreasing order.
4, 1, z, -4
Let l = -1.84 - -1.8. Let b = -11.97 + -0.83. Let y = 13 + b. Sort -2/13, l, y in descending order.
y, l, -2/13
Let d = -17026 - -17015. Let v = 11 - 8. Sort 1, v, d, 1/6 in decreasing order.
v, 1, 1/6, d
Let f = -190 - -185. Sort f, 0, -17 in descending order.
0, f, -17
Suppose -2*t + 10 = -2*v, 2*t - 5*t + 25 = -5*v. Let q(m) = -3*m + 2. Let z be q(-5). Let f = z + -13. Sort v, -1, f.
v, -1, f
Let n = 1532 + -1522. Let w = -12 - -10. Sort -4, w, n in ascending order.
-4, w, n
Suppose -d - 4*f + 8 = 0, 4*d - d = 4*f + 8. Suppose -10 + 26 = d*v. Sort -4, 2, v in descending order.
v, 2, -4
Let d = -1011 + 1023. Put d, 5, -1/5, -2 in ascending order.
-2, -1/5, 5, d
Let k be (3 + 3)*(0 - (-2)/54). Put 5/6, 6, k, 1 in descending order.
6, 1, 5/6, k
Let a = 1935 + -1927. Put 6, 1, a in decreasing order.
a, 6, 1
Let c = -2545/3792 - -31/48. Sort 4, -2, c, 2 in decreasing order.
4, 2, c, -2
Let c be (9 - 4/(-2) - 0)/1. Let z(a) = -4*a**2 - 3*a - 2. Let o be z(-2). Let q = o + c. Sort 4, q, -5 in descending order.
4, q, -5
Let i = 2002/5 + -401. Sort i, 0.538, 0 in decreasing order.
0.538, 0, i
Let o = -111 - -553/5. Let a = 3 + -3.5. Put 11, o, 1, a in increasing order.
a, o, 1, 11
Suppose 4*i = -d + 2, 2*i = -i - 5*d + 10. Suppose 4*s = -4*m - 20, -5*m + i*m - 2*s = 22. Put m, 1, -3, 4 in descending order.
4, 1, -3, m
Suppose 12 = r + i - 3*i, -3*r + 3*i + 30 = 0. Suppose r = -3*f + 7*f. Sort f, 4, -4 in increasing order.
-4, f, 4
Suppose 0 = -x - 0*x - 2*a - 6, 0 = a + 1. Let l = 8 + -38. Let w = l + 34. Sort x, w, -3 in increasing order.
x, -3, w
Let w(g) = -3*g - 4 - 2*g + 3*g - 17. Let h be w(-13). Suppose 2*o = -5*v - 16, 2*v - 5*o + 13 = -h. Sort 5, v, -2 in decreasing order.
5, -2, v
Let l = -179.8 - -180. Let u = -1 + -2. Put u, -0.3, l in descending order.
l, -0.3, u
Let a be 176/77 + -3*(-6)/(-63). Put 4, 3, a, -1 in descending order.
4, 3, a, -1
Suppose 20 = -4*l + s + 30, -3 = -3*l + 3*s. Sort -79, l, 5, 0 in ascending order.
-79, 0, l, 5
Let u = 22.14 - 21.74. Sort 11, -1, u in descending order.
11, u, -1
Suppose -3*l - 263 = -272. Put 0.3, 2, l, 2/7 in descending order.
l, 2, 0.3, 2/7
Let z = -2.7 + 3. Let c = 13920 + -13919.8. Put 2/7, c, z in descending order.
z, 2/7, c
Let z = 1 - 1. Suppose z = -3*c - 3 - 6. Let x = 5 + -7. Sort x, 2, c in decreasing order.
2, x, c
Let u be (0*(-3)/(-3))/((-9)/(-3)). Put u, 82, 1, -5 in decreasing order.
82, 1, u, -5
Let g be 1 - (35/(-7) + 1). Let r = -31/4 - -147/20. Put r, 1/7, g in descending order.
g, 1/7, r
Let k(l) = 11*l - 4. Let c(u) = -8*u + 3. Let q(h) = 7*c(h) + 5*k(h). Let b be q(1). Let a = 0 - 1. Put a, b, 4 in increasing order.
a, b, 4
Suppose 0 = -3*z - m + 6, 0*z - 6 = -3*z + 5*m. Let o be -1 + z - -5 - 1. Sort -1, 0, 1, o in descending order.
o, 1, 0, -1
Suppose -12*u - 37 = -13. Put -20, u, 6 in ascending order.
-20, u, 6
Let v be -30*((-4)/8 + 1). Let r be (-12)/27*v/(-40). Sort -2/11, 8, r in descending order.
8, r, -2/11
Let w be (32/560*10)/((-2)/(-7)). Let z be 182/180 + (-2)/2. Let m = z - -173/630. Sort m, 0.3, w in increasing order.
m, 0.3, w
Let r = -300 + 2397/8. Sort r, -9, -2.
-9, -2, r
Suppose 40*h = 61 + 99. Sort 1, h, -7, -1 in descending order.
h, 1, -1, -7
Let n = -0.2 + -0.8. Let q = -264 + 194. Let i = q + 67. Sort i, -0.1, n.
i, n, -0.1
Let b = 0.0769 + -0.0769. Put b, 37.8, 0.3 in increasi | {
"pile_set_name": "DM Mathematics"
} |
f -1447658*s**5 + 2*s + 25172.
-28953160*s**3
Find the third derivative of -133157*k**4 - 6*k**2 + 633.
-3195768*k
Differentiate 2*c**2 + 2106*c + 7410 wrt c.
4*c + 2106
Find the third derivative of 813537*f**5 + f**2 - 3305950*f.
48812220*f**2
What is the second derivative of 199*j*q**4 - 3*j*q**3 - 34*j*q**2 + 1848*j - 80*q wrt q?
2388*j*q**2 - 18*j*q - 68*j
Find the first derivative of 64158*c*o**2 + 6*o**2 + 327*o wrt c.
64158*o**2
What is the second derivative of 217960*j**2*m**2 + 329*j*m**2 - 525*m wrt j?
435920*m**2
Differentiate -9829*k**2 + 2*k - 101396.
-19658*k + 2
Find the third derivative of -1892*i**5 - 2*i**4 - 2*i**3 + 13*i**2 wrt i.
-113520*i**2 - 48*i - 12
What is the second derivative of -6703*l**5 - 2*l**4 - 13*l - 203?
-134060*l**3 - 24*l**2
Find the third derivative of -30184*h**4*u**2 + 8*h**2*u**2 + 361*h**2 + 5*u**2 wrt h.
-724416*h*u**2
What is the third derivative of 9031*v**3 - 2*v**2 + 17*v + 633?
54186
Find the third derivative of 425*a**6 + 4*a**5 + 2*a**4 - 3*a**2 + a - 4291.
51000*a**3 + 240*a**2 + 48*a
What is the third derivative of -7*w**5 - 41*w**4 + 7*w**3 - 37246*w**2 + w + 3 wrt w?
-420*w**2 - 984*w + 42
What is the second derivative of -10243*v**2 + 152436*v wrt v?
-20486
Find the second derivative of -13*j**4 - 46*j**3 - 7*j**2 - 2976*j - 4 wrt j.
-156*j**2 - 276*j - 14
What is the first derivative of -814759*u - 433834 wrt u?
-814759
Find the second derivative of 15*s**2*w - 1253*s**2 - 21500*s + 2*w wrt s.
30*w - 2506
What is the third derivative of 33*u**2*z**3 - 5367*u**2 + 21*u*z**3 + 2*u*z**2 - 6*z**5 wrt z?
198*u**2 + 126*u - 360*z**2
Differentiate 12881*c**4 - 25*c + 1625188 wrt c.
51524*c**3 - 25
Find the first derivative of -20423*t**4 - 27928 wrt t.
-81692*t**3
What is the second derivative of -121*c**2*g*p - 3*c**2*g + 4*c**2*p + 32*c**2 + 3578*c*g*p + 49*g*p + 2 wrt c?
-242*g*p - 6*g + 8*p + 64
Find the second derivative of 10*a**2*i**2 + 4900*a**2*k**2 - 4*a**2*k + 2*a*i**2*k**2 - 7*a*i**2*k wrt k.
9800*a**2 + 4*a*i**2
Find the first derivative of -6*b**3 + b**2 - 1158*b + 141201 wrt b.
-18*b**2 + 2*b - 1158
What is the derivative of 326*p*v**2 + 643386*p - 106*v**4 wrt v?
652*p*v - 424*v**3
Find the second derivative of 2*h**4*m + 7*h**4 + 11824*h**3 + 2*h*m + 3*h - 109768*m wrt h.
24*h**2*m + 84*h**2 + 70944*h
What is the third derivative of 62*f**4 - 1019*f**3 - f**2 + 9*f - 2 wrt f?
1488*f - 6114
Find the second derivative of -651*g*u**3 + g*u**2 - 16*g*u + 52*g - 8*u**3 - 10*u - 2 wrt u.
-3906*g*u + 2*g - 48*u
Find the second derivative of 1748053*n**2*p**2 + 16*n*p**2 - n*p + 8868*n wrt n.
3496106*p**2
What is the third derivative of -1338216*s**3 - 3421463*s**2 wrt s?
-8029296
Differentiate 99855*y**2 - 4*y + 1316701.
199710*y - 4
Find the second derivative of -513394*d**2 - 3336*d - 54 wrt d.
-1026788
What is the derivative of -b**2*k**2 + 2676*b**2*k - 24998*b**2 + 2*b - 1 wrt k?
-2*b**2*k + 2676*b**2
Find the second derivative of -11959*s**3 - 45108*s.
-71754*s
What is the first derivative of 777321*n**4 - 3113950 wrt n?
3109284*n**3
What is the second derivative of 1223*f*l**2 + 41877*f*l + l**2 wrt l?
2446*f + 2
What is the derivative of -271793*l**4 + 107380?
-1087172*l**3
Find the third derivative of 8*d**3*m**2 + 46*d**3*m + 31*d**3 - 25*d**2*m**2 - 25601*d**2*m + d**2 + d*m**2 + 2 wrt d.
48*m**2 + 276*m + 186
What is the second derivative of -34952*k**5 - 31887*k?
-699040*k**3
What is the second derivative of 2*a**2*d**2 + 247093*a**2*d + 4*a*d**2 - 60*a - 823*d**2 wrt a?
4*d**2 + 494186*d
What is the first derivative of h**4 + 4857*h**3 + h**2 - 3*h + 4914581 wrt h?
4*h**3 + 14571*h**2 + 2*h - 3
Find the first derivative of 857*g*r*w + 34*g*r + g - r**2*w + 2*r**2 + 35*r wrt w.
857*g*r - r**2
Differentiate 1241*q**2 - 16*q + 2792527 wrt q.
2482*q - 16
Differentiate -2*f*w + 559284*f - 5*w + 31997 with respect to f.
-2*w + 559284
What is the second derivative of -42221*d**2 - 858*d - 98 wrt d?
-84442
Find the second derivative of 2*k**5 + k**4 + 1292*k**2 - 21941*k wrt k.
40*k**3 + 12*k**2 + 2584
Find the third derivative of -37*p**5 - p**4 + 226*p**3 - p**2 - p + 3129 wrt p.
-2220*p**2 - 24*p + 1356
Find the third derivative of 107665*h**3 - 3*h**2 + 41671 wrt h.
645990
What is the first derivative of 4*r**2 + 764*r + 10704 wrt r?
8*r + 764
What is the second derivative of 8085*c**5 + 12*c**3*v - c*v - 79*c - 387*v + 1 wrt c?
161700*c**3 + 72*c*v
Find the third derivative of 47727*n**3*r**3*y**3 - n**3*r**3*y**2 - 94*n**2*r**2*y**3 + n*r**3*y - 13*n*r*y**3 + 2*r**3*y**2 - 3*r**3 wrt n.
286362*r**3*y**3 - 6*r**3*y**2
Find the third derivative of -f**2*q**3 - 6*f**2*q**2 - 269725*f*q**4 + 1459*q**2 + q wrt q.
-6*f**2 - 6473400*f*q
What is the second derivative of -3*p**3 - 5212*p**2 - 4359*p?
-18*p - 10424
What is the third derivative of -f**6*p**2 + 7062*f**3*p**2 + 41*f**2*p**2 - 43*f*p**2 + 2 wrt f?
-120*f**3*p**2 + 42372*p**2
What is the second derivative of 14985*f**3*z**2 - 184*f**3 + f**2*z**3 - 2*f*z**3 - 83*z wrt z?
29970*f**3 + 6*f**2*z - 12*f*z
What is the third derivative of 2*h**2*s**3*y**2 - 10250*h**2*s**3*y + h**2*s**2 - 113*h**2*s*y**2 + 3*s**2 - 12*s*y**2 wrt s?
12*h**2*y**2 - 61500*h**2*y
What is the second derivative of 546105*g**4 + 2*g**2 + 569*g - 146?
6553260*g**2 + 4
Find the first derivative of -92939*h**3 - 22948 wrt h.
-278817*h**2
Find the third derivative of 152505*u**4 + 5*u**2 - 25663.
3660120*u
What is the third derivative of -14*c**3*t**4 - 236*c**3*t + 3*c**3 + c**2*t**4 + c**2*t**2 - 3*c**2 + 144*t**3 wrt t?
-336*c**3*t + 24*c**2*t + 864
What is the second derivative of -480579*a**2*q - 2904*a*q - 27*a - 2 wrt a?
-961158*q
Find the first derivative of 233*a*c**3*p - 2*a*c**3*y**2 + a*c**2 - 6*a*p*y**2 + 5*c**3*p - 74*c**3 - 52*c**2 + 2*c*y**2 wrt p.
233*a*c**3 - 6*a*y**2 + 5*c**3
What is the first derivative of 4*f**2*z**2 + 103*f**2*z + 360*f**2 - 4*z**2 + 2*z + 42 wrt z?
8*f**2*z + 103*f**2 - 8*z + 2
What is the third derivative of 63*g**5 - 8*g**4 + 36*g**3 + 60*g**2 + g - 25 wrt g?
3780*g**2 - 192*g + 216
What is the derivative of -313355*i**2 + 1070026?
-626710*i
What is the third derivative of -6119*p**4 - 6*p**3 - 4*p**2 + 7590 wrt p?
-146856*p - 36
Find the second derivative of 478844*p**4*w + 2*p**3 + 2*p*w + 83816*p + w wrt p.
5746128*p**2*w + 12*p
Find the second derivative of -22*d**2*o**4 + 217*d**2 - 13255*d*o**4 - 1365*o wrt o.
-264*d**2*o**2 - 159060*d*o**2
What is the second derivative of -169319*r**2 - 42*r - 229?
-338638
What is the second derivative of -c*n**3 - 160*c*n**2 - 8*c*n - c + n**3 - 63*n**2 - 95*n + 3 wrt n?
-6*c*n - 320*c + 6*n - 126
What is the second derivative of 20*b*i**2*k*o**2 + 40*b*i**2*k - 12*b*i*k*o + 209*i**2*k*o**2 - i**2*k*o - 40 wrt o?
40*b*i**2*k + 418*i**2*k
Find the third derivative of 938116*x**3 - x**2 + 10175*x - 5.
5628696
Find the third derivative of -2151455*z**4 + z**2 - 44767*z - 4 wrt z.
-51634920*z
Find the second derivative of -941*s**3 - 141*s**2 - 286332*s wrt s.
-5646*s - 282
Find the third derivative of 1997311*v**5 - 123*v**2 + 1987.
119838660*v**2
What is the second derivative of -1729*w*y**2 - 10*w*y + 2025*w - 7*y**2 wrt y?
-3458*w - 14
What is the third derivative of 1540195*m**4 + 3*m**2 + 242879*m wrt m?
36964680*m
Find the second derivative of 315719*u**2 + u - 46628.
631438
What is the third derivative of -1705421*p**3 + 667780*p**2?
-10232526
What is the third derivative of 676*l*q*y**4 + 2*l*q*y**3 + 52*l*q*y**2 + 599*l*q + 3*l*y**4 wrt y?
16224*l*q*y + 12*l*q + 72*l*y
What is the derivative of 71873*m + 81156 wrt m?
71873
Differentiate 5*i*x**2 + 3*i*x - 8091*i + 302*x**2 + 51*x - 32 with respect to x.
10*i*x + 3*i + 604*x + 51
What is the second derivative of 1988*p**2 - 10*p + 7 wrt p?
3976
Find the third derivative of -6448523*p**2*s**3 + 7*p**2*s + 29*p**2 + 121*p*s**2 + 4*s wrt s.
-38691138*p**2
What is the derivative of 8*k**3*x + 2*k**3 + k**2*x + 802*k**2 - 72*k*x + 2*k wrt x?
8*k**3 + k**2 - 72*k
What is the first derivative of -105*l*n*s - 70*l*s + 3*l - 2*n*s + 17969*n - 2*s wrt s?
-105*l*n - 70*l - 2*n - 2
What is the second derivative of 2102739*a**3 + 2*a - 963118 wrt a?
12616434*a
Find the second derivative of -2*d*l**2*x - 2*d*l**2 + 2*d*l*x | {
"pile_set_name": "DM Mathematics"
} |
.516 - i. Which is the biggest value? (a) w (b) -2/5 (c) 26/3
c
Let h be 6/27 + (-4)/(-9). Suppose -15 = 34*o - 4*o + 83 + 22. Let f = 163/3 + -56. What is the fourth smallest value in f, h, o, -0.16?
h
Let k = 34586 - 34579. Which is the second biggest value? (a) 66 (b) -0.5 (c) k (d) -4 (e) 3
c
Suppose -s - 6 = 3*z + 8, 4 = -z. Let c be (-1*s/(-7))/(-1). Let j = -5400 + 5404. What is the biggest value in 0.5, c, j?
j
Let n = 0.407 + 4.533. Let d = n - -0.06. Let t(b) = -4*b + 1. Let x be t(1). What is the second smallest value in -5, d, x?
x
Suppose i + 3*q + q = 57, -2*i + 4*q = -222. What is the biggest value in -8, -0.2, i?
i
Let w(h) = -h**2 - 11*h + 3. Let j be w(-11). Let i(k) = -2*k**2 + 27*k - 32. Let x be i(12). Which is the biggest value? (a) j (b) -0.1 (c) 0.5 (d) x
d
Let r = 12 - 12.4. Let c = 11906 + -11904. Let v = 8 - 17. What is the second biggest value in c, r, v, -5?
r
Suppose 4*o = 5*a - 153, -2*o + 3 = -4*a + 87. Let b = 47 + o. Let j = -144782 - -144779. What is the second biggest value in j, 0, b?
0
Let o = -232 - -250.3. Let l = o - 10.1. Let y = l - 4.2. What is the smallest value in y, 3/4, 4.3?
3/4
Let m be 1*5 - (16 - (-784)/(-70)). What is the third biggest value in m, -2/11, 7/2?
-2/11
Let a = 6872 + -6872.2. What is the second biggest value in -0.115, a, -10?
a
Let l be (-15*4/(-60) + -9)/(-11 + 1). Let k = 0.45 + -0.06. Which is the third smallest value? (a) l (b) k (c) -2
a
Let h be (5 + -3)*21/(-98). What is the fifth biggest value in -310, 5, -0.1, -1/4, h?
-310
Let y = -1738.2 - -1735. Let j = -0.6 - -0.4. Let k = y - j. Which is the third smallest value? (a) 0.4 (b) k (c) -1
a
Let x = 25.35 + -21.35. Which is the third biggest value? (a) -1 (b) 443 (c) x
a
Let r be (0 - 1)/(14/12). Let v = -419 + 237. Let d = v - -168. Which is the biggest value? (a) d (b) r (c) -4/7
c
Suppose r + y - 3 = -y, y = 5*r + 18. Let s = 0.46 - -4.54. Let u = -7.071 - -0.071. Which is the second smallest value? (a) u (b) -0.3 (c) s (d) r
d
Let h = -459 + 547. Let m = h - 444/5. What is the third smallest value in 3/7, 5, m?
5
Let b = -77 + 30. Suppose 1478*q + 44 = a + 1474*q, 46 = -a - 5*q. What is the second biggest value in b, -0.3, a?
-0.3
Let u = 0.121 - -3.879. Let t = -9 + u. Let o be -1 - (-1 + 3)*-1. What is the smallest value in t, o, -0.09?
t
Let l = 146 + -146.79. Let d = l - -0.69. What is the third biggest value in d, 1, -11/3?
-11/3
Suppose -l = 4*s - 20, -4*l + 9*l + 4*s - 36 = 0. Let t = -65 - -64.6. Which is the second biggest value? (a) l (b) t (c) -13
b
Let t be (-3)/(-8)*(-1)/((-483)/(-28)). Let j = 189/230 + t. Which is the biggest value? (a) 6 (b) 0.2 (c) j (d) -5
a
Let k = -0.504 - -0.004. Let a = 0.0643 - -0.2357. Let b = -3.2 - -0.7. What is the third biggest value in a, b, k?
b
Let v = 5.08 + -1.08. Which is the fourth smallest value? (a) -5/4 (b) 1/14 (c) 0.2 (d) v (e) 2/7
e
Let k = 7.23 + -9.23. Let t = 28 + -50. Let j = t + 32. Which is the smallest value? (a) -1 (b) k (c) 3 (d) j
b
Let i = 10109.5 - 10110. Let q = -4.5 + 0.5. Which is the third smallest value? (a) -1 (b) q (c) i (d) -9
a
Let t = -158 + 157.6. Which is the fifth biggest value? (a) 2/19 (b) -83 (c) t (d) 4 (e) -0.3
b
Let o = -8/7 - -118/91. Let w = 916.305 + -914. Let q = w + -0.305. Which is the biggest value? (a) -2 (b) q (c) o
b
Let x = -1.427 - -1.227. Which is the second smallest value? (a) -0.17 (b) x (c) 7
a
Suppose -2*r - 5*o = 13, 2*r + o - 273 + 274 = 0. Let h = 8 + -8.1. Let y be (-1)/(-1) + (1 - 2). What is the second biggest value in y, r, -5, h?
y
Let z = 22332 - 22331.6. Which is the second smallest value? (a) 1 (b) -5 (c) -3/5 (d) z
c
Let m be 15/6*12/(-75). Let i = -7.8 + 5.8. Let z = -9.7 + 9. What is the smallest value in z, i, m, 0?
i
Let o be 3/22 - 1/2. Let m = -0.91844 + 1.91844. Which is the biggest value? (a) o (b) m (c) 1/7
b
Let a be (28/(-5))/(-2)*760/532. Let p = -3.2 - -3. What is the third biggest value in p, a, 3?
p
Let m = -96 - -214. Let f = m - 143. What is the second smallest value in 4, f, 1?
1
Let j = 150.68 - 152. Let g = j - -0.32. Which is the third smallest value? (a) 5 (b) g (c) -16
a
Let o be (-1 + 1194/(-10))*-1. Let q = -121 + o. Let i = 95.889 - 95.089. Which is the third smallest value? (a) -0.1 (b) i (c) q
b
Let o be ((((-4)/(-1))/1)/(-5))/((-30)/25). Which is the fifth smallest value? (a) o (b) -0.4 (c) -2 (d) -2/231 (e) 3
e
Let u = -581 - -831. Which is the third smallest value? (a) 3 (b) 2/7 (c) u (d) -5
a
Let a = 29 - 205/7. Let m = -789 + 791. What is the second smallest value in 0.1, a, -0.015, m?
-0.015
Let h = 17711/6 + -2952. Let v = -0.02 - -6.02. Suppose 19 = -3*o + 2*a, -6*o + 6 = -3*o + 3*a. What is the smallest value in h, -1, o, v?
o
Let d(b) = -157*b + 2043. Let o be d(13). What is the third smallest value in o, 4, 12.2?
12.2
Let k be 36385/7315 - (-1)/(1/(-5)). Let j = k + 160/231. Which is the biggest value? (a) j (b) -1 (c) -3 (d) -2
a
Let c = -3777.9 + 3778. What is the second smallest value in c, -50, -19?
-19
Let d be ((-12)/18)/((-8)/15). Suppose 0 = -4*x - 8, -5*j - 110 - 61 = -2*x. What is the third smallest value in j, 3/2, d?
3/2
Let m be (-2)/(-3)*(24/2)/2. Let k be (-4 - 1) + (-438)/(-84). Which is the second biggest value? (a) -2/7 (b) k (c) m (d) -0.2
b
Let k = 9322 - 9326. What is the third biggest value in -448, k, -0.4?
-448
Let p be (-2 + 10/4)*-186. Let m = -174227/6 - -28945. Let i = m - p. Which is the second smallest value? (a) i (b) 1/9 (c) 0.1
b
Let l = -8194/20635 - 12/4127. What is the biggest value in l, -62, 2/9, 0.08?
2/9
Let d be 4/(-10) - (-1492)/30. Let b = d + -443/9. What is the third biggest value in -3, 2, 1/10, b?
1/10
Let y = -14/47 + -19/94. Let b = -105 - -203. What is the second biggest value in b, y, 5?
5
Let o = 5.511 + -0.511. Which is the biggest value? (a) -121 (b) -0.1 (c) o
c
Let v = -0.87 - -49.87. Let r = 49 - v. What is the biggest value in -1, -8, 0.3, r?
0.3
Let g(j) = j**3 - 4*j**2 + 118*j - 619. Let p be g(5). Let a = -1 - -1.02. What is the second smallest value in -5, a, 5, p?
p
Suppose g - 12 + 16 = 0. Let n = 51/28 + -7/4. Let i = 1 + -1. What is the third smallest value in g, i, n?
n
Let z = -24.01 - -22.3. Let b = z + 1.31. What is the smallest value in b, -0.1, 0.4, 6?
b
Let z = -121 + 118. Let s be (z - 24/(-6))*(6 + -2). Which is the smallest value? (a) 3 (b) -2 (c) 0.2 (d) s
b
Let u = 1024146373/24345783 - 77584/1849. Let h = 1/693 - u. Let v = -102 + 819/8. Which is the fourth smallest value? (a) 0.4 (b) h (c) 0 (d) v
a
Let p be 6/(-4)*(1 + 1). Let n = -893.431 - -910.431. Which is the second biggest value? (a) 1 (b) n (c) 0.5 (d) p
a
Let d = 19.8 + -24.97. Let z = -5.57 - d. What is the second biggest value in -2, z, 0, -5/6?
z
Let a = -351 + 39. Let z = 309 + a. What is the smallest value in 0.2, -97, z?
-97
Let q(h) = -163*h + 1134. Let d be q(7). What is the biggest value in 0.5, 2, 24/7, 4, d?
4
Let u = -3244 - -3246. Which is the third smallest value? (a) 3 (b) -9 (c) u
a
Let p = -2 - 14. Let s = -2 - -459. Let g = 454 - s. Which is the biggest value? (a) g (b) p (c) 5/3
c
Let l be 7/5 + 6/14*364/260. Let w = -0.08 + -0.22. Let b = -12 + 12.2. What is the smallest value in l, w, b?
w
Let c = 568 - 275. Let a = c + -282. What is the third biggest value in a, -0.3, 0.3?
-0.3
Let f = 44970261/340 - 132266. Let x = f - 5/68. Which is the third biggest value? (a) x (b) 1/5 (c) 6
a
Let y = -55 - -54.958. Let j = y + 11.042. Let o(f) = f**3 + 1. Let v be o(-1). What is the third biggest value in 3, j, v?
v
Let j = -0.279 + 2.279. Suppose -3*i - 21 = -3*d, 0 = -3*i + d + 4*d - 27. What is the second smallest value in -0.4, i, -1, j?
-1
Let h = -0.14 - -0.19. Let u = 4/24993 - -22718597/249930. Let f = -91 + u. What is the third smallest value in -2, f, h?
h
Let h be (1 + (-248)/120)*(-3 - (-60)/16). What is the third smallest value in 115, h, -1, 0.3?
0.3
Let g = -3 + 2. Let a be -3*(-7)/7*((-2)/18)/(16/32). What is the fourth biggest value in -0.2, g, a, -0.5?
g
Let n = 473.688 - -0.312. Let f = -479 + n. What is the third smallest value in f, -40/11, -0.4?
-0.4
Suppose -4*h + 12 + 0 = 0 | {
"pile_set_name": "DM Mathematics"
} |
2 + f + 3
What is the q'th term of -338354, -338359, -338366, -338375, -338386?
-q**2 - 2*q - 338351
What is the o'th term of 6537, 6555, 6599, 6681, 6813, 7007, 7275, 7629?
2*o**3 + o**2 + o + 6533
What is the r'th term of 704483, 1408969, 2113455, 2817941, 3522427?
704486*r - 3
What is the a'th term of 3088, 6167, 9240, 12307, 15368, 18423?
-3*a**2 + 3088*a + 3
What is the a'th term of 3463, 3291, 3121, 2953, 2787?
a**2 - 175*a + 3637
What is the t'th term of 1421558, 1421561, 1421566, 1421573, 1421582?
t**2 + 1421557
What is the m'th term of 254, 836, 1744, 2978, 4538?
163*m**2 + 93*m - 2
What is the k'th term of -2019, -4126, -6271, -8472, -10747, -13114, -15591, -18196?
-3*k**3 - k**2 - 2083*k + 68
What is the f'th term of -27652, -221368, -747172, -1771108, -3459220, -5977552?
-27674*f**3 + 2*f + 20
What is the j'th term of -422, -1752, -3966, -7064, -11046?
-442*j**2 - 4*j + 24
What is the j'th term of 348, 559, 664, 663, 556, 343, 24?
-53*j**2 + 370*j + 31
What is the z'th term of 2306, 4357, 6396, 8417, 10414?
-z**3 + 2058*z + 249
What is the m'th term of 11, 220, 429?
209*m - 198
What is the a'th term of -841, -1647, -2381, -3007, -3489, -3791, -3877, -3711?
6*a**3 - 848*a + 1
What is the k'th term of -28, -62, -130, -238, -392, -598, -862?
-k**3 - 11*k**2 + 6*k - 22
What is the b'th term of 19, 165, 407, 745?
48*b**2 + 2*b - 31
What is the c'th term of -3385, -3426, -3467?
-41*c - 3344
What is the c'th term of 43428, 43418, 43400, 43374, 43340?
-4*c**2 + 2*c + 43430
What is the g'th term of 171382, 342776, 514170, 685564, 856958?
171394*g - 12
What is the i'th term of 699, 482, 265, 48?
-217*i + 916
What is the t'th term of -526, -506, -512, -556, -650, -806, -1036, -1352?
-2*t**3 - t**2 + 37*t - 560
What is the d'th term of 5301, 5403, 5495, 5571, 5625, 5651, 5643?
-d**3 + d**2 + 106*d + 5195
What is the x'th term of -1, 62, 191, 386, 647?
33*x**2 - 36*x + 2
What is the v'th term of -106, -365, -796, -1399, -2174, -3121, -4240?
-86*v**2 - v - 19
What is the d'th term of 25, 136, 321, 580?
37*d**2 - 12
What is the h'th term of 57672, 115347, 173022, 230697, 288372, 346047?
57675*h - 3
What is the c'th term of 9254, 9252, 9252, 9254, 9258, 9264, 9272?
c**2 - 5*c + 9258
What is the x'th term of 21545, 43084, 64623?
21539*x + 6
What is the x'th term of -36155, -36152, -36139, -36110, -36059, -35980, -35867?
x**3 - x**2 - x - 36154
What is the v'th term of 909, 874, 815, 732, 625?
-12*v**2 + v + 920
What is the b'th term of 26261, 52376, 78481, 104570, 130637, 156676?
-b**3 + b**2 + 26119*b + 142
What is the q'th term of 1069, 4205, 9407, 16675, 26009?
1033*q**2 + 37*q - 1
What is the l'th term of 488, 565, 642, 719, 796?
77*l + 411
What is the x'th term of 26, 54, 78, 98?
-2*x**2 + 34*x - 6
What is the v'th term of 364, 782, 1332, 2080, 3092, 4434?
11*v**3 + 341*v + 12
What is the i'th term of -305, -8, 285, 574, 859, 1140?
-2*i**2 + 303*i - 606
What is the l'th term of 2124, 4896, 7668, 10440?
2772*l - 648
What is the s'th term of -1629, -3255, -4887, -6531, -8193?
-s**3 + 3*s**2 - 1628*s - 3
What is the v'th term of -4573, -8893, -13213, -17533?
-4320*v - 253
What is the y'th term of -28, -87, -138, -145, -72, 117, 458?
6*y**3 - 32*y**2 - 5*y + 3
What is the g'th term of 16362, 16361, 16360, 16359, 16358, 16357?
-g + 16363
What is the y'th term of 27840, 111378, 250612, 445542, 696168, 1002490?
27848*y**2 - 6*y - 2
What is the o'th term of 1920, 2424, 2928, 3432, 3936, 4440?
504*o + 1416
What is the v'th term of 166, 393, 660, 967, 1314, 1701?
20*v**2 + 167*v - 21
What is the l'th term of -126, -73, 2, 99?
11*l**2 + 20*l - 157
What is the q'th term of -9104, -8997, -8900, -8819, -8760, -8729, -8732, -8775?
-q**3 + q**2 + 111*q - 9215
What is the k'th term of 158, 58, -70, -238, -458?
-2*k**3 - 2*k**2 - 80*k + 242
What is the d'th term of 3414, 3822, 4502, 5454, 6678, 8174?
136*d**2 + 3278
What is the i'th term of 1508, 1527, 1552, 1583?
3*i**2 + 10*i + 1495
What is the y'th term of 283635, 283620, 283579, 283500, 283371, 283180, 282915?
-2*y**3 - y**2 + 2*y + 283636
What is the x'th term of -91, 86, 263, 440, 617, 794?
177*x - 268
What is the v'th term of 388, 1541, 3456, 6127, 9548, 13713, 18616?
-v**3 + 387*v**2 - v + 3
What is the t'th term of -2461, -4821, -7181, -9541?
-2360*t - 101
What is the w'th term of -332, -2748, -9314, -22106, -43200, -74672, -118598, -177054?
-346*w**3 + w**2 + 3*w + 10
What is the p'th term of -682588, -682581, -682562, -682525, -682464, -682373, -682246, -682077?
p**3 - 682589
What is the n'th term of 6296, 6285, 6266, 6239?
-4*n**2 + n + 6299
What is the s'th term of -219217, -438425, -657633, -876841, -1096049, -1315257?
-219208*s - 9
What is the v'th term of 359938, 719876, 1079812, 1439746, 1799678, 2159608, 2519536?
-v**2 + 359941*v - 2
What is the n'th term of 196, 315, 434, 553, 672?
119*n + 77
What is the y'th term of 891, 1713, 2481, 3201, 3879, 4521?
y**3 - 33*y**2 + 914*y + 9
What is the u'th term of -406356, -406355, -406354, -406353, -406352, -406351?
u - 406357
What is the n'th term of -492, -1884, -4214, -7482, -11688, -16832, -22914?
-469*n**2 + 15*n - 38
What is the s'th term of 137, 1890, 6645, 15902, 31161, 53922?
250*s**3 + s**2 - 114
What is the f'th term of -518, -491, -450, -395?
7*f**2 + 6*f - 531
What is the r'th term of -123, -134, -145?
-11*r - 112
What is the w'th term of 9712, 19427, 29142?
9715*w - 3
What is the t'th term of -2171, -2098, -2025, -1952?
73*t - 2244
What is the l'th term of -143118, -143111, -143104?
7*l - 143125
What is the h'th term of -430, -1730, -3912, -6988, -10970, -15870?
-2*h**3 - 429*h**2 + h
What is the q'th term of -2544, -10124, -22758, -40446, -63188, -90984, -123834?
-2527*q**2 + q - 18
What is the n'th term of -9899, -9907, -9915?
-8*n - 9891
What is the t'th term of 27, 32, 17, -24, -97, -208, -363, -568?
-t**3 - 4*t**2 + 24*t + 8
What is the h'th term of -15218, -30438, -45658, -60878, -76098, -91318?
-15220*h + 2
What is the w'th term of -513, -4205, -14223, -33729, -65885, -113853, -180795, -269873?
-527*w**3 - w**2 + 15
What is the v'th term of 1276, 1419, 1828, 2635, 3972, 5971, 8764?
22*v**3 + v**2 - 14*v + 1267
What is the m'th term of 530469, 530472, 530485, 530514, 530565, 530644?
m**3 - m**2 - m + 530470
What is the v'th term of -83, 46, 269, 592, 1021?
v**3 + 41*v**2 - v - 124
What is the c'th term of 68946, 68933, 68918, 68901?
-c**2 - 10*c + 68957
What is the j'th term of -2, -705, -1884, -3545, -5694, -8337?
-j**3 - 232*j**2 + 231
What is the u'th term of 961, 1942, 2927, 3916, 4909, 5906, 6907?
2*u**2 + 975*u - 16
What is the r'th term of -597, -646, -695?
-49*r - 548
What is the t'th term of 9, -29, -113, -255, -467, -761, -1149?
-2*t**3 - 11*t**2 + 9*t + 13
What is the l'th term of -20137, -40272, -60407, -80542, -100677?
-20135*l - 2
What is the x'th term of 34, 65, 126, 223, 362, 549, 790?
x**3 + 9*x**2 - 3*x + 27
What is the h'th term of 109942, 109940, 109938, 109936, 109934, 109932?
-2*h + 109944
What is the s'th term of 1028, 1065, 1110, 1145, 1152, 1113, 1010, 825?
-3*s**3 + 22*s**2 - 8*s + 1017
What is the d'th term of 61286, 61291, 61300, 61313, 61330?
2*d**2 - d + 61285
What is the p'th term of -110, -225, -348, -485, -642, -825?
-p**3 + 2*p**2 - 114*p + 3
What is the q'th term of -72, -224, -432, -660, -872?
6*q**3 - 64*q**2 - 2*q - 12
What is the m'th term of 2842, 11378, 25608, 45532, 71150, 102462?
2847*m**2 - 5*m
What is the s'th term of -516, -1192, -1868?
-676*s + 160
What is the o'th term of -1146, -4569, -10274, -18267, -28554, -41141?
-o**3 - 1135*o**2 - 11*o + 1
What is the k'th term of 49, 122, 195, 268, 341?
73*k - 24
What is the z'th term of 1267, 4771, 10505, 18463, 28639?
-z**3 + 1121*z**2 + 148*z - 1
What is the v'th term of 66, 166, 456, 1032, 1990, 3426, 5436, 8116?
16*v**3 - v**2 - 9*v + 60
What is the z'th term of 67, 89, 145, 253, 431, 697, 1069, 1565?
3*z**3 - z**2 + 4*z + 61
What is the o'th term of 11, 439, 1613, 3911, 7711, 13391?
63*o**3 - 5*o**2 + 2*o - 49
What is the p'th term of -45818, -91627, -137436?
-45809*p - 9
What is the f'th term of 9435, 18863, 28287, 37707, 47123, 56535?
-2*f**2 + 9434*f + 3
What is the w'th term of 1361, 5571, 12587, 22409?
1403*w**2 + w - 43
What is t | {
"pile_set_name": "DM Mathematics"
} |
2 - 600*a**2 + 202*a**2.
4*a**2
Collect the terms in -131 - 3*g + 3*g - 47 + 99 + g.
g - 79
Collect the terms in 2*t**2 - 1765 + 3527 - 1762 - 293*t**2.
-291*t**2
Collect the terms in 44*w - 21*w - 1424*w**2 - 23*w.
-1424*w**2
Collect the terms in 75*b + 194*b - 1 + 170*b.
439*b - 1
Collect the terms in 32861 - 65705 + 32857 + 3*q**3.
3*q**3 + 13
Collect the terms in -6*p**2 - 5*p + 77 - 8*p**2 + 5*p**2.
-9*p**2 - 5*p + 77
Collect the terms in 448429 + 39*p - 41*p - 448429.
-2*p
Collect the terms in -15*i + 46*i - 28*i - 15*i + 17*i.
5*i
Collect the terms in 383*p - 11 - 3 - 383*p - p**3.
-p**3 - 14
Collect the terms in -21*m**2 - 596*m**2 + 2089*m**2 + 2100*m**2.
3572*m**2
Collect the terms in -7552273 + 4*g**2 + 7552273.
4*g**2
Collect the terms in -67*g**2 + 86*g**2 - 46*g**2 - 17*g.
-27*g**2 - 17*g
Collect the terms in -135943*n**2 + 67972*n**2 + 67985*n**2.
14*n**2
Collect the terms in -8*s**3 - 4321*s**2 + 7*s**3 + 4321*s**2.
-s**3
Collect the terms in 6*c + 9*c - 3*c**2 + 0*c**2 - 10*c + c**2.
-2*c**2 + 5*c
Collect the terms in -1 + 11508*j - 11520*j + 1.
-12*j
Collect the terms in -4666*i**3 - 4667*i**3 + 9376*i**3.
43*i**3
Collect the terms in -2*t + 1202 + 1196 + 1200 - 3598.
-2*t
Collect the terms in 257*f + 2027*f + 539*f.
2823*f
Collect the terms in 0 + 24 - 3 + 39*c**2 - 6 - 12.
39*c**2 + 3
Collect the terms in l**2 + 35*l + 37*l + 33*l.
l**2 + 105*l
Collect the terms in -210 + 2*f + 192 + 0*f.
2*f - 18
Collect the terms in 7 + 26 - 119*y + 4 + 120*y - 11.
y + 26
Collect the terms in 51 - 139 + 4*d - 7*d + 54 + 27.
-3*d - 7
Collect the terms in -117*m**3 + 3*m**2 + 39*m**3 - m**2 - 80*m**3.
-158*m**3 + 2*m**2
Collect the terms in -6*q**3 - 124033*q**2 + 124033*q**2.
-6*q**3
Collect the terms in 2 - 18 + 593*f + 1231*f - 164*f.
1660*f - 16
Collect the terms in 47 - 638*k - 170*k - 47.
-808*k
Collect the terms in 28*l**2 - 10*l**2 - 5*l - 16*l**2.
2*l**2 - 5*l
Collect the terms in -623*i**3 + 624*i**3 - 48*i + 48*i.
i**3
Collect the terms in 1382*x**3 + 992*x**3 + 294*x**3.
2668*x**3
Collect the terms in -624*k**2 - 336*k**2 + 192*k**2 + 35*k**2.
-733*k**2
Collect the terms in -153*x - 179*x + 336*x.
4*x
Collect the terms in 54 - 504*x**3 - 41 - 13.
-504*x**3
Collect the terms in 844*x**2 - 61*x**3 + 1337*x**3 - 844*x**2.
1276*x**3
Collect the terms in 63*r + 1126*r + 996*r + 31*r.
2216*r
Collect the terms in -13189*y**2 + 1 + 13562*y**2 - 1.
373*y**2
Collect the terms in -1454 + 1454 + 45*v + 2*v**3.
2*v**3 + 45*v
Collect the terms in -27*o + 20*o - 7*o + 12*o.
-2*o
Collect the terms in 119*n + 126*n + 0*n**2 - 2*n**2 - 245*n.
-2*n**2
Collect the terms in 62 + 63 - 190 + 5*u**2 + 65.
5*u**2
Collect the terms in -3 + 235*y - 245*y + 3 + 2.
-10*y + 2
Collect the terms in 146*p + 584*p + 418*p.
1148*p
Collect the terms in 47*m**2 + 47*m**2 - 160*m**2 + 2*m**3 + 41*m**2 + 25*m**2.
2*m**3
Collect the terms in 116765*w**2 - 58381*w**2 - 58391*w**2.
-7*w**2
Collect the terms in 1087 - 2247 + t + 1099.
t - 61
Collect the terms in 7746639*c + 7746651*c - 15493292*c.
-2*c
Collect the terms in 7*f + 10*f + 18*f - 61*f + 29*f.
3*f
Collect the terms in 176*w**3 - 174*w**3 - 12*w**2 + 50*w**2.
2*w**3 + 38*w**2
Collect the terms in 28 - 45 + 26*x + 61 - 43.
26*x + 1
Collect the terms in c**3 - 5415*c - 5575*c - 5*c**3 + 10990*c.
-4*c**3
Collect the terms in -421*w + 192*w + 0 + 0 + 163*w.
-66*w
Collect the terms in 1415*w + 3 - 661*w + 1463*w.
2217*w + 3
Collect the terms in -37 - 5*k + 10 + 13 + 3 + 5.
-5*k - 6
Collect the terms in -24 + 21 - 22 + 25 - r**3.
-r**3
Collect the terms in -2*g**3 - 278 - 37*g + 104*g - 43*g.
-2*g**3 + 24*g - 278
Collect the terms in 425432*f**2 - 2 + 2 - 424715*f**2.
717*f**2
Collect the terms in -992 + 992 + 4992*b**3 - 24187*b**3.
-19195*b**3
Collect the terms in 0*m - 169559*m**3 + 0*m + 169264*m**3.
-295*m**3
Collect the terms in 58*q - 154*q + 34*q + 57*q.
-5*q
Collect the terms in -5*k**3 + 20*k**3 - 20*k**3.
-5*k**3
Collect the terms in 29*i**3 - 7*i**3 + 125428 - 125428.
22*i**3
Collect the terms in l - 101 + 54 - 18*l**2 - l.
-18*l**2 - 47
Collect the terms in -29*k**3 + 4*k**3 - k**3 - 4*k**3.
-30*k**3
Collect the terms in 15 - 90*n - 39 + 16.
-90*n - 8
Collect the terms in 329*l**3 + 33*l**3 - 4*l**3 + 578*l**3.
936*l**3
Collect the terms in -1368*s**3 - 13140*s + 13140*s.
-1368*s**3
Collect the terms in 4 - 4 + 4133*j.
4133*j
Collect the terms in -33*r - 119*r - 62*r + 22*r.
-192*r
Collect the terms in 273*n**2 - 11278 + 5639 + 5640.
273*n**2 + 1
Collect the terms in -m**2 - 6*m**2 - 76*m**2 + 40*m**2 - 128*m**2.
-171*m**2
Collect the terms in -40 + 52 - 12 - 34*b**2.
-34*b**2
Collect the terms in -13*y**2 + y - 14*y**2 - 21*y**2.
-48*y**2 + y
Collect the terms in 6*w - 16*w - 42 + 8*w + 17.
-2*w - 25
Collect the terms in -1 + 6 + y + 20*y + 2 + 5*y.
26*y + 7
Collect the terms in -9 + 34*x**2 + 29*x**2 + 9 - 54*x**2.
9*x**2
Collect the terms in -12783912236*x + 12783912236*x + 4*x**2.
4*x**2
Collect the terms in 19*y + 16*y - 35*y + 4619*y**3.
4619*y**3
Collect the terms in -19 - 4*o + 6*o - 65 + 10.
2*o - 74
Collect the terms in -2*b**2 - 9*b**2 + 10*b**2 + 486*b.
-b**2 + 486*b
Collect the terms in 152*i - 4 - 3 + 7 - 171*i.
-19*i
Collect the terms in -8048*n**2 + 15437*n**2 - 7784*n**2.
-395*n**2
Collect the terms in -6692*n**3 + 3456*n**3 + 3239*n**3.
3*n**3
Collect the terms in 104*c**3 - 277*c**3 + 182*c**3.
9*c**3
Collect the terms in 32866339*w - 9*w**2 - 32866339*w.
-9*w**2
Collect the terms in 605*b - 383*b - 222*b + 4*b**2.
4*b**2
Collect the terms in -27*t + 7*t + 13*t + 10*t + 7*t.
10*t
Collect the terms in -121*x + 15 - 17 + 137*x.
16*x - 2
Collect the terms in 228*u + 237*u - 352*u.
113*u
Collect the terms in 3*t + 2*t + 0*t - 17*t + 10*t.
-2*t
Collect the terms in 5 + 7 - 22*w - 32 + 20.
-22*w
Collect the terms in -848*b - 77*b + 96*b - 315*b.
-1144*b
Collect the terms in -183*k**2 - 190*k**2 - 123*k**2 + 483*k**2.
-13*k**2
Collect the terms in -194*u**2 + 393*u**2 - 117*u**3 - 198*u**2 + 122*u**3.
5*u**3 + u**2
Collect the terms in 468*l**2 - 77*l + 153*l - 76*l.
468*l**2
Collect the terms in 265442 - 265442 - 155*i.
-155*i
Collect the terms in -45*y**2 - 40*y**2 + 13*y**2 + 12*y**2.
-60*y**2
Collect the terms in 4*m**2 + 1304 + 37*m**3 - 4*m**2.
37*m**3 + 1304
Collect the terms in 30*w**2 - 2*w + 130*w**2 - 159*w**2.
w**2 - 2*w
Collect the terms in -3 - 562*k**2 + 0 - 8 + 11.
-562*k**2
Collect the terms in -16 + 8729*m + 10 + 9.
8729*m + 3
Collect the terms in 0 - 1360*l + 681*l + 0 + 677*l.
-2*l
Collect the terms in -114005 - 114009 + 342018 + 4*s**3 - 114004.
4*s**3
Collect the terms in c**2 - 323 + 323 + 8*c**2.
9*c**2
Collect the terms in -5*c - 8*c - 7*c + 26*c + 6 - c.
5*c + 6
Collect the terms in -265634*r**2 + 265634*r**2 - 6*r**3.
-6*r**3
Collect the terms in 28 + 21 - 67*n - 52.
-67*n - 3
Collect the terms in -2*g + 2*g - 4*g + 4*g + 7*g**2.
7*g**2
Collect the terms in 20*c**3 + 31*c**3 + 40*c**3 + 70*c**3 - 233*c**3.
-72*c**3
Collect the terms in -424 + 855 + 3*p**2 - 431 + p**2 - 2*p**2.
2*p**2
Collect the terms in 163*h**2 + 996*h**2 + 777*h**2 + 393*h**2.
2329*h**2
Collect the terms in -10*m - 14*m + 63*m - 18*m - 13*m.
8*m
Collect the terms in 3 - 13184*t**2 + 13137*t**2 - 4*t - 2*t + 6*t.
-47*t**2 + 3
Collect the terms in x - 7324985*x**2 + 7324994*x**2 - x.
9*x**2
Collect the terms in 6 - 1243522*w + 20*w**3 + 1243522*w.
20*w**3 + 6
Collect the terms in -w**2 + 1468*w**3 + w**2 - 12824*w**3.
-11356*w**3
Collect the terms in 45 - 1 - 16 + 30*k**3.
30*k**3 + 28
Collect the terms in 1581*h**3 - 458*h**2 - 453*h**2 + 911*h**2.
1581*h**3
Collect the terms in -307 - 466 - 5*l + 1235 - 462.
-5*l
Collect the terms in -8214 - 8216 - 16*p + 16428.
-16*p - 2
Collect the terms in 44*t - 88*t - 110*t**2 + 46*t.
-110*t**2 + 2*t
Collect the terms in 315966*y**2 - 315966*y**2 + 6*y**3.
6*y**3
Collect the terms in 152*n - 161*n**3 - 152*n.
-161*n**3
Collect the terms in -29541*l + 39198*l + 82407*l.
92064*l
Collect the terms in -1754*x**2 - 4484*x**2 + 1084*x**2.
-5154*x**2
Collect the terms in 2417*q**3 + 32*q - 32*q - 2375*q**3.
42*q**3
Collect the terms in 7560*r + 7624*r - 15164*r.
20*r
Collect the terms in -281 - 343*q + 851 - 287 - 283.
-343*q
Collect the terms in -644*s + 64 | {
"pile_set_name": "DM Mathematics"
} |
l = -125 + c. Does 58 divide l?
True
Suppose 8863 = 3*x - 4*w, -4*x - 2*w = -6*w - 11820. Suppose 0 = 2*h - 6, -7*h = -4*a - 6*h + x. Is 10 a factor of a?
True
Let m(q) = -106*q**3 + 21*q**2 + 23*q + 22. Does 50 divide m(-4)?
True
Let t(k) be the second derivative of k**5/20 - k**4/2 + k**2 - 11*k. Let d be t(6). Is 34*4/(d - -2) a multiple of 15?
False
Let a(i) = -4*i - 11. Let s be a(-3). Let l(v) = 5*v**3 - 2*v**2 + v. Let y be l(s). Suppose -12 = -x + y*u, x + 2*u = -3*x + 30. Is x a multiple of 3?
False
Suppose -2*b = 5*c - 113720, -351*b + 347*b - c = -227476. Is b a multiple of 26?
False
Suppose 0 = 14*t - 16*t - 4*x + 706, -5*x = 2*t - 710. Suppose 0 = l - 2*l + 4. Suppose 5*o = m - 98, -3*m - l*o + t = -2*o. Does 13 divide m?
False
Let t be 78/(8 - 5)*8. Let u = t + -182. Is u a multiple of 15?
False
Let n be (-3)/12 - (-1658)/8. Let b = n - 191. Does 16 divide b?
True
Let g = -11 + 3. Let l be 100/g*4/(-5). Does 15 divide 76 + (l/(-2))/5?
True
Let c be (15135/55 - -5) + (-4)/22. Is 3 - 5 - c/(-7) a multiple of 2?
True
Let v = 3601 - 1315. Is 7 a factor of (v/24 + -6)/(2/8)?
True
Suppose 10*v + 6 = 12*v. Suppose -2*d = -v*d + 2, -2*a = 4*d - 18. Suppose -100 = -4*c - 5*l, -a*c + 179 = 3*l + 54. Is 7 a factor of c?
False
Let f = 293 + -288. Suppose -5*p - 5*q = -1130, -f*p + 4*q = -p - 896. Is p a multiple of 16?
False
Let q = -5404 - -11786. Is q a multiple of 18?
False
Let m(o) = -13142*o**3 + 26*o**2 + 30*o + 4. Is m(-1) a multiple of 37?
False
Let v = -4854 + 7214. Is 2 a factor of v?
True
Let r(x) = -530*x + 765. Does 15 divide r(-6)?
True
Suppose -2*m = -v - 7333, 0 = -234*m + 235*m - 5*v - 3653. Is 21 a factor of m?
False
Suppose 28*z - 175515 = 13*z + 537285. Is 24 a factor of z?
True
Let p be (2 - ((-16)/4 + -244)) + -3. Let d = -102 + p. Does 29 divide d?
True
Suppose -3*s - 3 - 12 = 0. Let u(m) = 2 - 6*m + 4*m + 2*m + 3*m + 9 + 5*m**2. Is 11 a factor of u(s)?
True
Let f = -981 - -1683. Is f a multiple of 9?
True
Let m = 1682 - -1853. Is 35 a factor of m?
True
Let d(n) = 3*n**2 - 18*n + 8. Let t be d(12). Let i(y) = -y - 14. Let p be i(-14). Suppose -4*r + 4*x + 224 = -2*r, -2*r - x + t = p. Does 14 divide r?
True
Let f be ((13 - -12) + -9)*(-6)/(-8). Suppose -145 = -g + 4*d, 3*g - 395 = 14*d - f*d. Is g a multiple of 12?
False
Let c(q) = -q**2 - 12*q - 10. Let a be c(-8). Let k be a/(1 - 21/27). Is 26*1/3 - (-33)/k even?
False
Let g(c) be the third derivative of c**5/60 - 3*c**4/8 - 7*c**3/6 + 21*c**2 - c. Does 6 divide g(17)?
False
Suppose 60873 = 13*k + 18051. Is k a multiple of 61?
True
Let n = -219 + 219. Suppose -22*v + 12*v + 1900 = n. Is 3 a factor of v?
False
Let z(h) = 67*h**2 + 12*h - 212. Is z(10) a multiple of 97?
False
Let p(s) = 76*s - 15. Let u be p(5). Suppose -c + 66 = 2*j - 17, 0 = -4*c + 3*j + u. Suppose 1 = -n - 4, 4*n - c = -q. Is 35 a factor of q?
False
Let q(v) = -13*v + 104. Let l = -397 - -402. Is 13 a factor of q(l)?
True
Suppose -353 = 4*s + 2067. Let t = 385 - s. Is 45 a factor of t?
True
Does 29 divide 11314/(2 + -1) - ((5 - 8) + 7)?
True
Let i(u) = 5*u**2 - 322*u + 256. Is 17 a factor of i(91)?
True
Is 211758/12 - (28/8)/7 a multiple of 6?
True
Let v(l) = 4*l - 19. Let p be v(23). Let f = 1522 + -872. Suppose p*n = 78*n - f. Is n a multiple of 13?
True
Suppose -2*r = -5*x + 2, -4*x - 3*r - 1 - 2 = 0. Suppose 3*p - 5 - 4 = x. Suppose 2*t = -3*l + 94, 4*l - 148 = -0*t + p*t. Is l a multiple of 14?
False
Let j(y) = -102 - 747*y - 805*y + 1616*y. Is 74 a factor of j(12)?
True
Suppose t + 2*t = 6*t. Suppose 343 = 3*r - 4*m, t = -4*r + 3*r + 5*m + 96. Is r a multiple of 11?
True
Suppose -11*j - 9*j = -2*j. Let r(y) = y**2 + y + 26. Is r(j) a multiple of 13?
True
Does 18 divide (9 - 11) + 272610/19 + (-46)/(-437)?
True
Suppose 53 = -3*o - 5*s + 98, 0 = 3*o + 4*s - 45. Let d(v) = 3*v**2 - 8*v. Let t be d(6). Is t/(-1 + o/9) a multiple of 17?
False
Suppose -4*u + 20 = 3*d, u + 4 = -2*d + 14. Suppose -2*h + 560 = 2*n, 17*h - 13*h - d*n = 1096. Does 25 divide h?
False
Let d = -26747 - -31189. Does 39 divide d?
False
Let r = -339 + 474. Let w be (-110)/1 + (8 - 6). Let k = w + r. Does 18 divide k?
False
Let y(r) = 62*r**3 - 9*r**2 + 37*r - 70. Is 10 a factor of y(5)?
True
Let i(g) = 70*g + 1944. Is 64 a factor of i(60)?
True
Let u = 3145 - 1236. Is u a multiple of 4?
False
Let w be (9 - 7) + 2*1. Let a(u) = 2*u - 11. Let t be a(w). Is 6/(((-5)/(-10))/(t/(-3))) a multiple of 12?
True
Let w = 9907 - 2900. Is 14 a factor of w?
False
Let c(m) = 22*m**2 - 33*m - 120. Does 52 divide c(-4)?
True
Suppose 5*q = 4*q + 5*f + 8, -3*q + 5*f + 24 = 0. Suppose -2409 = -16*d + 5143. Suppose q*x = 488 + d. Is 12 a factor of x?
True
Let i(q) be the first derivative of -16*q**2 + 2*q + 66. Does 6 divide i(-2)?
True
Let q(j) be the second derivative of -9*j**3/2 - 13*j**2/2 + 40*j. Does 17 divide q(-3)?
True
Let v(i) = i**2 + 4*i + 5. Let n be v(0). Suppose -n*j + 375 = -15. Does 13 divide j?
True
Let m(o) = o**3 - 4*o**2 - 11*o - 21. Let l(g) = g + 22. Let c be l(-11). Let d be m(c). Suppose -5*h + h = 5*r - d, 3*r = -3*h + 528. Is h a multiple of 35?
True
Suppose -w + 11 + 13 = 0. Let p be (5 - 9) + 4 - (5 + -5). Suppose p*r - w = -r. Is r a multiple of 10?
False
Let d(c) = 3*c**3 - 453*c**2 + 122*c - 728. Is 18 a factor of d(151)?
True
Let u = 308 + -176. Let x = u - 97. Does 2 divide x?
False
Suppose -6336 = -4*d + 4*c, 299 = 3*d + c - 4433. Is 2 a factor of d?
False
Let b(p) = -27*p + 987. Is b(-44) a multiple of 5?
True
Let h = -794 + 1154. Suppose -17*x = -12*x - h. Does 9 divide x?
True
Let p(o) = 4250*o + 731. Is 20 a factor of p(4)?
False
Let y = 17 - 13. Suppose 5*p = y*p - 206. Let n = -97 - p. Is n a multiple of 20?
False
Let z(s) = 4*s**2 - 15*s - 8. Suppose -9 = -4*p + 3*o, 5*p + 6*o - 10*o = 10. Is 14 a factor of z(p)?
False
Let i(y) be the third derivative of -y**5/30 - 7*y**4/24 + 4*y**3 + 23*y**2. Let x(t) = t**2 + 4*t - 12. Let o(q) = -6*i(q) - 13*x(q). Is 18 a factor of o(-6)?
True
Suppose -6*d - 120 = 24. Let g(r) = r + 29. Let a be g(d). Suppose -3*k + 3*w + 17 = -7, -a*w - 31 = -4*k. Does 3 divide k?
True
Suppose 0 = 34*m - 27*m - 14. Suppose -92 = -2*v - a - m*a, -2*v = -4*a - 106. Is 28 a factor of v?
False
Let m(z) be the first derivative of -z**4/4 + 13*z**3/3 - 9*z**2 + 43*z - 81. Is m(11) a multiple of 15?
False
Let a = 121 + -103. Suppose -2*f - 8416 = -a*f. Does 20 divide f?
False
Let s be 4/((-2)/(-24)*2). Suppose s = 2*x - 10*x. Does 11 divide 402/3 - (-1 - x)?
True
Suppose 6*r + 662 = h + 5*r, -4*h + 2656 = 4*r. Let i = h + -567. Does 24 divide i?
True
Does 14 divide -20 - (-1808)/88 - 21548/(-22)?
True
Let k(y) = 219*y**2 + 38*y - 175. Does 9 divide k(5)?
True
Let j(v) = 510*v**2 - 30*v + 36. Is 77 a factor of j(-5)?
True
Let k(p) = 23*p - 14. Let z be k(-2). Let w be (12/(-1))/(z/30). Is 35 a factor of (-64)/16 - -236*w/4?
True
Let a(m) = -m**3 + m**2 + 2*m + 2. Let s be a(0). Let n = 1 + 4. Suppose n*b - 264 + 47 = w, -38 = -b + s*w. Is 7 a factor of b?
False
Let y = -106 - -121. Let b = y + -10. Is b a multiple of 2?
False
Suppose -304920 = -135*t + 120*t. Is t a multiple of 132?
True
Suppose -m + 80 = -5*n, -n = 3*m + 42 - 250. Suppose -17*b = 335 - 3191. Suppose w - q = 6*w - b, -2*w = -q - m. Is 17 a factor of w?
True
Suppose -5*c - 26 = 14. Let p = c + 30. Let g = p - 5. Is g a multiple of 4?
False
Let q(s) = -11*s - 161 + 144 + 226 + 146. Is 17 a factor of q(-13)?
False
Let r = 221 + -218. Suppose -9*o + 268 = t - 7*o, 0 = r*t - 5*o - 826. Does 34 divide t?
True
Let t(v) = 9*v**2 + v - 3. Let z be t(1). Suppose -36 = -z*g - 15. Is -13*(-3 - 0)/g a multiple of 9?
False
Suppose -5*p - 5*n = -4*n + 379, -4*p - 306 = -2*n. Let x = -28 - p. Is 8 a factor of x?
True
Suppose -16*v = 17*v + 13*v - 110492. Is v a multiple of 3?
False
Let q = 946 + -409. Suppose 6*s + 218 = 2918. Suppose -7*c + q = -s. Is 47 a factor of c?
True
Is ((-19)/(513/102231))/(2/(-18)) a multiple of 128?
False
Let u(t) = 2 - 2 + t**3 - 2 + 1. Let w be u(0). Does 23 divide (-3 - w)/(6/(-795))?
False
Let j(c) be the first derivative of -32*c**2 - 4*c + 22. Let m(o) = o. Let g be m(-1). Does 5 divide j(g)?
True
Let m be 6/8 + (-7078992)/(-64). Is m/135 - 1/3 a multiple of 13?
True
Is 42/(0 + -14) + 3567 a multiple o | {
"pile_set_name": "DM Mathematics"
} |
factors of 2283.
3, 761
What are the prime factors of 41651?
41651
What are the prime factors of 167247?
3, 18583
List the prime factors of 9601.
9601
What are the prime factors of 1065?
3, 5, 71
List the prime factors of 22765.
5, 29, 157
What are the prime factors of 7932?
2, 3, 661
List the prime factors of 5297.
5297
What are the prime factors of 3862?
2, 1931
List the prime factors of 288.
2, 3
What are the prime factors of 454?
2, 227
What are the prime factors of 19921?
11, 1811
List the prime factors of 7083.
3, 787
List the prime factors of 10351.
11, 941
List the prime factors of 5026.
2, 7, 359
What are the prime factors of 7055?
5, 17, 83
What are the prime factors of 20003?
83, 241
List the prime factors of 10397.
37, 281
What are the prime factors of 12955?
5, 2591
What are the prime factors of 1952?
2, 61
List the prime factors of 463.
463
What are the prime factors of 8402?
2, 4201
List the prime factors of 124908.
2, 3, 7, 1487
What are the prime factors of 909?
3, 101
List the prime factors of 1769.
29, 61
What are the prime factors of 4523?
4523
List the prime factors of 57.
3, 19
List the prime factors of 2932.
2, 733
List the prime factors of 14292.
2, 3, 397
List the prime factors of 18296.
2, 2287
List the prime factors of 277.
277
List the prime factors of 1688.
2, 211
List the prime factors of 55357.
197, 281
List the prime factors of 182148.
2, 3, 43, 353
What are the prime factors of 59133?
3, 23, 857
List the prime factors of 72198.
2, 3, 7, 191
List the prime factors of 50732.
2, 11, 1153
What are the prime factors of 804?
2, 3, 67
What are the prime factors of 3424?
2, 107
What are the prime factors of 170?
2, 5, 17
What are the prime factors of 19813?
19813
List the prime factors of 9779.
7, 11, 127
What are the prime factors of 54183?
3, 18061
List the prime factors of 7885.
5, 19, 83
What are the prime factors of 3237?
3, 13, 83
What are the prime factors of 2899?
13, 223
What are the prime factors of 2961?
3, 7, 47
What are the prime factors of 1530?
2, 3, 5, 17
List the prime factors of 85736.
2, 7, 1531
List the prime factors of 1717.
17, 101
What are the prime factors of 29881?
29881
What are the prime factors of 1170?
2, 3, 5, 13
What are the prime factors of 2698?
2, 19, 71
List the prime factors of 27637.
29, 953
What are the prime factors of 5261?
5261
List the prime factors of 19159.
7, 17, 23
What are the prime factors of 236?
2, 59
List the prime factors of 123514.
2, 61757
What are the prime factors of 9606?
2, 3, 1601
List the prime factors of 39165.
3, 5, 7, 373
What are the prime factors of 292?
2, 73
What are the prime factors of 37504?
2, 293
What are the prime factors of 9005?
5, 1801
List the prime factors of 1256.
2, 157
What are the prime factors of 4594?
2, 2297
What are the prime factors of 494?
2, 13, 19
What are the prime factors of 1659?
3, 7, 79
What are the prime factors of 177480?
2, 3, 5, 17, 29
List the prime factors of 8735.
5, 1747
List the prime factors of 489.
3, 163
List the prime factors of 4925.
5, 197
What are the prime factors of 980?
2, 5, 7
What are the prime factors of 14212?
2, 11, 17, 19
List the prime factors of 63614.
2, 17, 1871
List the prime factors of 2341.
2341
List the prime factors of 356.
2, 89
What are the prime factors of 23476?
2, 5869
List the prime factors of 24559.
41, 599
What are the prime factors of 11574?
2, 3, 643
What are the prime factors of 15524?
2, 3881
List the prime factors of 3495.
3, 5, 233
What are the prime factors of 3454?
2, 11, 157
What are the prime factors of 36036?
2, 3, 7, 11, 13
List the prime factors of 29842.
2, 43, 347
List the prime factors of 4513.
4513
List the prime factors of 5829.
3, 29, 67
What are the prime factors of 526?
2, 263
List the prime factors of 4572.
2, 3, 127
List the prime factors of 1834.
2, 7, 131
List the prime factors of 1367.
1367
List the prime factors of 11914.
2, 7, 23, 37
What are the prime factors of 3328?
2, 13
List the prime factors of 57023.
127, 449
List the prime factors of 4292.
2, 29, 37
List the prime factors of 68670.
2, 3, 5, 7, 109
What are the prime factors of 39434?
2, 19717
List the prime factors of 1353.
3, 11, 41
List the prime factors of 1702.
2, 23, 37
List the prime factors of 9890.
2, 5, 23, 43
What are the prime factors of 14404?
2, 13, 277
List the prime factors of 2794.
2, 11, 127
What are the prime factors of 41600?
2, 5, 13
What are the prime factors of 5320?
2, 5, 7, 19
What are the prime factors of 43756?
2, 10939
What are the prime factors of 40385?
5, 41, 197
What are the prime factors of 1562?
2, 11, 71
What are the prime factors of 628?
2, 157
List the prime factors of 1419.
3, 11, 43
What are the prime factors of 1332?
2, 3, 37
List the prime factors of 4098.
2, 3, 683
List the prime factors of 5070.
2, 3, 5, 13
List the prime factors of 15874.
2, 7937
List the prime factors of 1887.
3, 17, 37
List the prime factors of 13995.
3, 5, 311
List the prime factors of 9821.
7, 23, 61
List the prime factors of 6230.
2, 5, 7, 89
List the prime factors of 918.
2, 3, 17
What are the prime factors of 3055?
5, 13, 47
List the prime factors of 5556.
2, 3, 463
List the prime factors of 14348.
2, 17, 211
List the prime factors of 1201.
1201
List the prime factors of 1414.
2, 7, 101
List the prime factors of 27204.
2, 3, 2267
What are the prime factors of 313?
313
List the prime factors of 9869.
71, 139
List the prime factors of 395.
5, 79
What are the prime factors of 1771?
7, 11, 23
List the prime factors of 777.
3, 7, 37
List the prime factors of 1916.
2, 479
What are the prime factors of 173716?
2, 137, 317
List the prime factors of 71023.
71023
What are the prime factors of 2694?
2, 3, 449
List the prime factors of 1993.
1993
What are the prime factors of 20965?
5, 7, 599
List the prime factors of 3672.
2, 3, 17
List the prime factors of 253.
11, 23
List the prime factors of 11315.
5, 31, 73
What are the prime factors of 79950?
2, 3, 5, 13, 41
What are the prime factors of 5164?
2, 1291
List the prime factors of 25555.
5, 19, 269
List the prime factors of 1371.
3, 457
What are the prime factors of 34038?
2, 3, 31, 61
List the prime factors of 20443.
20443
What are the prime factors of 51?
3, 17
What are the prime factors of 500?
2, 5
List the prime factors of 75795.
3, 5, 31, 163
List the prime factors of 1432.
2, 179
What are the prime factors of 3646?
2, 1823
What are the prime factors of 5990?
2, 5, 599
What are the prime factors of 1170?
2, 3, 5, 13
List the prime factors of 37998.
2, 3, 2111
List the prime factors of 531.
3, 59
What are the prime factors of 13629?
3, 7, 11, 59
What are the prime factors of 3304?
2, 7, 59
What are the prime factors of 40937?
13, 47, 67
List the prime factors of 2454.
2, 3, 409
What are the prime factors of 1746?
2, 3, 97
List the prime factors of 5940.
2, 3, 5, 11
What are the prime factors of 18540?
2, 3, 5, 103
What are the prime factors of 14080?
2, 5, 11
What are the prime factors of 531?
3, 59
List the prime factors of 3072.
2, 3
What are the prime factors of 15040?
2, 5, 47
List the prime factors of 443.
443
List the prime factors of 97702.
2, 11, 4441
List the prime factors of 64424.
2, 8053
List the prime factors of 765.
3, 5, 17
List the prime factors of 936.
2, 3, 13
What are the prime factors of 682?
2, 11, 31
What are the prime factors of 32212?
2, 8053
List the prime factors of 24235.
5, 37, 131
What are the prime factors of 72169?
72169
What are the prime factors of 1106?
2, 7, 79
What are the prime factors of 10939?
10939
What are the prime factors of 8155?
5, 7, 233
What are the prime factors of 13164?
2, 3, 1097
List the prime factors of 19913.
19913
What are the prime factors of 20012?
2, 5003
What are the prime factors of 52686?
2, 3, 2927
List the prime factors of 1655.
5, 331
What are the prime factors of 879?
3, 293
List the prime factors of 932.
2, 233
List the prime factors of 725.
5, 29
What are the prime factors of 383?
383
List the prime factors of 9431.
9431
What are the prime factors of 12328?
2, 23, 67
List the prime factors of 561.
3, 11, 17
What are the prime factors of 11387?
59, 193
What are the prime factors of 869?
11, 79
List the prime factors of 561.
3, 11, 17
What are the prime factors of 1978? | {
"pile_set_name": "DM Mathematics"
} |
00
What is -16707457600 rounded to the nearest one million?
-16707000000
Round -19812.18 to the nearest 1000.
-20000
Round 4762630727 to the nearest 100000.
4762600000
What is 3.289566981 rounded to two decimal places?
3.29
Round -6346.7823 to the nearest integer.
-6347
Round -0.0067675592 to 4 decimal places.
-0.0068
What is -1597727677 rounded to the nearest 1000000?
-1598000000
Round 0.00027224175 to 3 dps.
0
Round -0.00913100333 to 4 dps.
-0.0091
Round -1.4249121 to 4 dps.
-1.4249
Round 0.078155595 to 4 dps.
0.0782
Round -62538574 to the nearest ten thousand.
-62540000
Round -0.000010913916 to six dps.
-0.000011
Round -0.00066049698 to 3 dps.
-0.001
Round 3.95042319 to 2 decimal places.
3.95
Round -30522974.3 to the nearest one hundred thousand.
-30500000
What is 0.00332417375 rounded to 6 dps?
0.003324
What is 17865.2702 rounded to the nearest one hundred?
17900
What is -0.00049207629 rounded to 6 decimal places?
-0.000492
What is -487985052 rounded to the nearest 1000000?
-488000000
Round -201.9326 to the nearest 10.
-200
What is 0.001354328279 rounded to five decimal places?
0.00135
What is -1094.7225 rounded to the nearest one hundred?
-1100
What is 0.3367122 rounded to two decimal places?
0.34
What is -0.000001427966049 rounded to 6 decimal places?
-0.000001
What is -0.411911599 rounded to three decimal places?
-0.412
What is -14398984 rounded to the nearest 100000?
-14400000
Round -461.655903 to the nearest integer.
-462
What is -0.0001419499758 rounded to 6 dps?
-0.000142
Round -0.000014150076373 to 7 dps.
-0.0000142
What is -416115.9576 rounded to the nearest 10?
-416120
Round 6.27125315 to 2 decimal places.
6.27
What is -23545360.24 rounded to the nearest ten thousand?
-23550000
Round -0.000113200935 to six decimal places.
-0.000113
What is 8.228529956 rounded to 4 dps?
8.2285
What is 0.017357626 rounded to five decimal places?
0.01736
Round -4.584874634 to 1 decimal place.
-4.6
Round 17834.82825 to the nearest 100.
17800
Round 1027652690 to the nearest one million.
1028000000
Round -65261.5316 to the nearest 10.
-65260
Round 0.03424622705 to three dps.
0.034
What is 19427892.3 rounded to the nearest 100000?
19400000
Round 0.01034273278 to 7 decimal places.
0.0103427
What is 28.86903982 rounded to two dps?
28.87
What is -190181394080 rounded to the nearest 1000000?
-190181000000
What is -0.01264705637 rounded to four dps?
-0.0126
Round 3438705.466 to the nearest one thousand.
3439000
Round -138564.2146 to the nearest 1000.
-139000
Round -0.023406501 to two dps.
-0.02
Round 0.772051064 to 1 dp.
0.8
Round -3121.97365 to 1 dp.
-3122
Round 270.689011 to 2 decimal places.
270.69
Round -0.001838220449 to 4 decimal places.
-0.0018
Round -1.92612104 to four decimal places.
-1.9261
Round -95586908620 to the nearest 1000000.
-95587000000
Round -0.00988224161 to 2 dps.
-0.01
Round 2859693.2 to the nearest one hundred thousand.
2900000
Round -0.37594009 to four dps.
-0.3759
What is 485119490 rounded to the nearest one million?
485000000
Round 83614.967 to the nearest ten thousand.
80000
Round -630069.72 to the nearest ten thousand.
-630000
Round -13.25787674 to 1 decimal place.
-13.3
Round -38238108.19 to the nearest ten thousand.
-38240000
What is -0.0001211291156 rounded to seven dps?
-0.0001211
What is -0.067515876 rounded to 2 dps?
-0.07
Round 842.1515822 to two dps.
842.15
Round 1550.52429 to the nearest 100.
1600
Round -0.0000313839141 to 5 dps.
-0.00003
Round -0.00000671963534 to seven dps.
-0.0000067
Round -0.00010711106195 to 5 dps.
-0.00011
What is 195650069.5 rounded to the nearest ten thousand?
195650000
Round -0.000018816453679 to seven dps.
-0.0000188
What is -1.4462356807 rounded to one decimal place?
-1.4
What is 0.000006791062084 rounded to seven decimal places?
0.0000068
What is 32024451 rounded to the nearest ten thousand?
32020000
What is 23639.87612 rounded to the nearest 100?
23600
What is 896.193508 rounded to the nearest ten?
900
Round 570044.207 to the nearest 100000.
600000
What is -0.00001784520536 rounded to 7 dps?
-0.0000178
What is -2590.83013 rounded to one dp?
-2590.8
Round 0.00017466778 to 5 decimal places.
0.00017
What is -2.799724079 rounded to three decimal places?
-2.8
Round -5927268900 to the nearest 1000000.
-5927000000
What is 0.0237054491 rounded to 6 decimal places?
0.023705
What is 0.002223048 rounded to 5 decimal places?
0.00222
What is -8461.1404 rounded to the nearest ten?
-8460
Round 22.756941 to three dps.
22.757
What is -7487945 rounded to the nearest one million?
-7000000
What is 11841.15304 rounded to the nearest 100?
11800
What is 1.0020589 rounded to three dps?
1.002
Round -0.000000499861468 to 7 dps.
-0.0000005
What is 243615.699 rounded to the nearest one hundred?
243600
Round 0.0000013000790965 to 7 decimal places.
0.0000013
Round -122.29188 to the nearest 10.
-120
What is 2686276.223 rounded to the nearest one hundred?
2686300
Round -1456.19386 to the nearest integer.
-1456
What is 2120.078101 rounded to 1 dp?
2120.1
Round -22.24919512 to two decimal places.
-22.25
What is -0.01169432447 rounded to 4 decimal places?
-0.0117
What is -200769.842 rounded to the nearest 10000?
-200000
What is 0.0596369094 rounded to two decimal places?
0.06
Round -5538.638 to zero dps.
-5539
What is -0.000096445608 rounded to 4 dps?
-0.0001
Round -0.0123222208 to six decimal places.
-0.012322
What is -0.000000981824049 rounded to seven decimal places?
-0.000001
What is 52024644 rounded to the nearest one hundred thousand?
52000000
What is -171924.977 rounded to the nearest one thousand?
-172000
Round 0.0866844038 to two dps.
0.09
Round 3740.9494 to zero dps.
3741
Round 10.755537934 to one dp.
10.8
What is -98243.029 rounded to the nearest one hundred thousand?
-100000
Round -365718059.6 to the nearest one hundred thousand.
-365700000
Round -0.966237675 to zero decimal places.
-1
Round -8.81304183 to 1 decimal place.
-8.8
Round -120474356.8 to the nearest ten thousand.
-120470000
Round 0.0000228054575 to 5 decimal places.
0.00002
Round -1272192.31 to the nearest ten thousand.
-1270000
Round 4358.792 to the nearest 10.
4360
Round -997560.2018 to the nearest 1000.
-998000
What is -3011.02543 rounded to the nearest one hundred?
-3000
Round 7.9609855 to 1 decimal place.
8
Round 0.00000621438035 to six decimal places.
0.000006
Round 0.023635273 to 3 decimal places.
0.024
Round -139643257.9 to the nearest ten thousand.
-139640000
Round -0.000556025825 to seven decimal places.
-0.000556
What is 0.0002364701824 rounded to six dps?
0.000236
What is -6632306 rounded to the nearest ten thousand?
-6630000
Round -2023188.122 to the nearest one hundred thousand.
-2000000
Round 9563173.82 to the nearest 10000.
9560000
What is 0.0001991860559 rounded to 5 dps?
0.0002
Round 0.13581029903 to two dps.
0.14
What is -8680363777 rounded to the nearest one million?
-8680000000
Round 0.0681066892 to four dps.
0.0681
What is 401681 rounded to the nearest 10000?
400000
What is -24750669.244 rounded to the nearest one hundred?
-24750700
Round 4597982.68 to the nearest ten thousand.
4600000
What is -7278681.696 rounded to the nearest 10000?
-7280000
What is 0.868328903 rounded to three decimal places?
0.868
Round -5424.27585 to the nearest 100.
-5400
What is -0.0005033571495 rounded to six decimal places?
-0.000503
What is 10043.9175 rounded to the nearest integer?
10044
Round -0.00346844496 to 6 decimal places.
-0.003468
Round -345.519152 to 2 decimal places.
-345.52
Round -66.617286 to one dp.
-66.6
What is 7174255.962 rounded to the nearest ten thousand?
7170000
Round 60823788 to the nearest 10000.
60820000
What is -3584.3402 rounded to the nearest integer?
-3584
Round -12.00376476 to 3 decimal places.
-12.004
What is -33.11422546 rounded to two dps?
-33.11
What is 105.4240652 rounded to three decimal places?
105.424
Round -0.060964701 to 4 decimal places.
-0.061
What is -42.2582386 rounded to 3 decimal places?
-42.258
Round -0.5283367424 to four decimal places.
-0.5283
Round 0.05181625263 to 6 dps.
0.051816
Round -1.01295976 to two dps.
-1.01
What is -120884.249 rounded to the nearest 10?
-120880
Round 83.5767964 to the nearest ten.
80
What is -11861.98749 rounded to the nearest one thousand?
-12000
What is -9065.04064 rounded | {
"pile_set_name": "DM Mathematics"
} |
alse
Let t = 18 - 26. Which is greater: -1 or t?
-1
Let g = -131 - -117.3. Let v = 14 + g. Do -4 and v have the same value?
False
Let z = -9 + 13. Which is smaller: z or 6?
z
Let y = -3 - -3. Let l be y*(1/(-2) + 1). Let z(u) = u**2 + 10*u + 8. Let g be z(-9). Is l less than or equal to g?
False
Let o(x) = x - 14. Let p be o(0). Let w be (-16)/p - (-2 - -4). Is w at most as big as -1?
False
Let b be 284/42 + 9/(-21). Which is smaller: b or 6?
6
Suppose 0 = 11*s - 6*s - 45. Let n = s - 9. Suppose 10*o = 5*o + 5. Is n > o?
False
Let s(y) be the first derivative of 2*y**2 - 3*y - 1. Let o be s(2). Suppose -k - o - 12 = -5*x, -3*x = -12. Is k smaller than 2?
False
Suppose 5*r - 20 = -3*m, 6*r - r - 2*m = -5. Which is smaller: r or -4/9?
-4/9
Let j = 2 + 8. Let i = j - 11. Which is greater: i or 2/37?
2/37
Let t = 153/5 + -30. Let d = 0 - -1. Let l = d + 0. Is l equal to t?
False
Let c be (-4)/((0 + 1)*-2). Suppose 0 = 2*o + c - 0. Do -2/5 and o have different values?
True
Let a = -29061/1418 + -4/709. Let m = -20 - a. Is m smaller than 3?
True
Let u = 14503/399 - 109/3. Is -1 bigger than u?
False
Suppose 0*k + 4 = 2*k. Suppose k*i + 10 = -3*i. Which is smaller: -1/2 or i?
i
Let l(i) = i + 2. Let f be l(-8). Is 1 at least as big as f?
True
Suppose 2*u + 9 = -5*t - 4, 2*t + 11 = 5*u. Which is bigger: u or 4?
4
Let i be (1/2)/((-5)/(-30)). Let g = i - -33. Let t be (-2)/(-4) + (-26)/g. Is 0 smaller than t?
False
Let k = 2 - -1. Let u = k + -4. Which is smaller: u or 2/9?
u
Let o = -1.133 + 0.033. Which is greater: o or 0.2?
0.2
Let c = -2.24 - -2.5. Let f = 0.16 - c. Is f at least 0.3?
False
Let r = 47/2565 - -2/513. Which is smaller: r or 0?
0
Let a = 1 + -29. Which is smaller: a or -29?
-29
Let h(y) = -y + 7. Let w = 18 - 12. Let l be h(w). Which is smaller: l or 0?
0
Let h = -45 - -226/5. Suppose 3*q - 17 = 5*a, 4*a = 3*q + 2*q - 11. Which is smaller: h or q?
q
Let y be (-21)/12 - (-3 + -2). Which is bigger: y or 2?
y
Let u = -2/841 - -17677/6728. Is u not equal to 2?
True
Let x be (-3)/9 - 12/(-44). Which is bigger: x or 0?
0
Let i = 3 - 2. Suppose -3*a + 9 = 3*b - 0, -5*a - i = b. Suppose 8 = -5*p - 4*g, -6*p + 2 = -p - g. Which is greater: p or a?
p
Suppose -4 = -4*o - 0. Suppose -2*v - 13 = -x, -3*x - 2*v + o = 2. Which is smaller: -0.1 or x?
-0.1
Let x be -1 - 2 - (6 + -7). Suppose 5*v + 6*r = r - 30, 2*v - 4*r = 18. Does x = v?
False
Let u = 3 + 1. Let y be (-236)/490 - u/(-10). Let v = y + -78/245. Is v equal to -1?
False
Let o = 117 - 117.09. Are o and 5 nonequal?
True
Let d = 13 + -13. Let x = d + 0.2. Which is greater: 0.08 or x?
x
Let n = -7.706 - -0.006. Let c = n + 8. Let m = -0.2 + c. Which is smaller: -2/5 or m?
-2/5
Let g = 7594/25 + -304. Which is greater: 1 or g?
1
Suppose 5 = 3*a - 8*a. Let b be 4 - (a/1)/1. Suppose b*j = -0*j. Which is smaller: j or -2/3?
-2/3
Suppose 5*g = -5*a + 290, -3*a = -g - 225 + 43. Let i = 298/5 - a. Let b be ((-1)/(-6))/((-6)/(-9)). Is i bigger than b?
False
Let g = 76 + -76.1. Which is bigger: 16 or g?
16
Suppose -4*q - 16 + 0 = 0. Which is greater: q or -0.1?
-0.1
Suppose 4*o - 4*x - 8 = 0, -2*x - 7 = -1. Let t be 1*(1/1 + o). Are t and 0.4 nonequal?
True
Let w(j) = j + 3. Let y be w(18). Which is bigger: 23 or y?
23
Let f = 0.06 - -0.04. Which is smaller: f or 0.29?
f
Let p be 90/21 + -3 + -1. Is p <= 1?
True
Suppose 0 = -4*t + 62 + 42. Suppose 0*d + 5*d = -n + 43, 0 = 2*d - 4*n - t. Is 10 at most d?
False
Let a be (1 - 2)/(2 + -1). Which is smaller: a or 3?
a
Suppose -3*p + q - 142 = -5*p, -4 = q. Let c = 270/253 + -130414/1771. Let g = p + c. Which is smaller: -1 or g?
-1
Let q = 7565/26 + -291. Which is smaller: 0 or q?
q
Let z = -24.3 - -26. Let h = 1.5 - z. Let d be (4/(-10))/((-2)/10). Is d < h?
False
Let r(z) = z**2 - 6*z + 6. Let o be r(7). Suppose -73 + o = -3*s. Let y be 2/(-6) + s/6. Is y smaller than 4?
True
Let t = -20 - -32. Which is smaller: t or 13?
t
Suppose -j + 22 = 5*t, 3*j + t = 3*t - 19. Which is smaller: j or -6?
-6
Let z = -46.5 - -46. Is z less than or equal to -0.2?
True
Let g(v) = v**2 + 1 + 0 + 1 + 3*v. Let d be g(-6). Suppose 6*s = s - d. Which is bigger: -5 or s?
s
Let f = 10 - 0. Let k be f/25 - (-2)/(-5). Is 4/5 smaller than k?
False
Let m be (-151)/(-48) + (-7 - -4). Let p = m - -3/16. Is p less than or equal to -1/4?
False
Let b(c) = c**3 + 4*c**2 + 3*c + 5. Let g be b(-4). Is g at least as big as -7?
True
Let p be (5 + -1)*(-20)/10. Let r = -8 - p. Which is bigger: -2/25 or r?
r
Suppose -n = n. Let l = -3 + 3.1. Is n > l?
False
Let j(m) = -m**2 + 19*m - 22. Let h be j(17). Let s(t) = t**2 - 13*t + 12. Let f be s(h). Suppose 4*l + 3 + 1 = 0. Which is greater: f or l?
f
Let l be (2/24)/1*-2. Let w(h) = -h**3 + 4*h - h + 0*h**3 + 1 - h**2. Let o be w(-2). Is l at most o?
False
Suppose -3*g + 2*f - 10 = -7*g, 0 = -4*g - f + 13. Is g at most as big as 2?
False
Suppose -5*q - 77 - 98 = 0. Is -34 at most as big as q?
False
Let v be (-3)/7 - 6/(168/(-47)). Is v less than 2?
True
Let i be -5 + 3 + (4 - 1). Suppose 9 = -2*u + u. Let g be 0 - -1 - u/(-6). Is g smaller than i?
True
Let h be (-15)/(-10)*(1 + 1). Which is smaller: 2/21 or h?
2/21
Let q be 3/((-10)/8 - -2). Suppose -q*b - p + 14 = -0*b, 4 = -2*p. Let a = 4 + -2. Which is bigger: a or b?
b
Let d = -49 + 295/6. Let q = 5 - 0. Suppose 0 = -3*k + q*o, -2*k = k - o. Which is smaller: d or k?
k
Let y = -0.0755 - -80.9755. Let q = 86 - y. Let t = -5 + q. Do t and 0.3 have the same value?
False
Let b = -5 + 9. Let k be ((-6)/9)/(b/(-15)). Is 1 equal to k?
False
Let j = -5 + 8. Do 4 and j have the same value?
False
Let i be (-2)/(-6) - 34/(-51). Which is bigger: i or 1/3?
i
Let h be -1*4/8*(-30)/(-3). Which is smaller: -4 or h?
h
Let k = -1 - -12. Let u be 2/(-5) + (-134)/(-10). Suppose l + l + c = u, 2*l - c - k = 0. Are l and 6 non-equal?
False
Let n = -0.44 + 0.27. Which is greater: n or -0.1?
-0.1
Let f = -4753/15 + 317. Which is bigger: 1 or f?
1
Let d = 0 - 13. Let z = d - -8. Let t be 7/(-3) - (-7 - z). Which is smaller: t or 2?
t
Let z = -146 - -140.94. Let i = -0.06 - z. Let t = -4 + i. Which is bigger: t or 2?
2
Let x(o) = o**3 - 4*o**2 - 6*o + 5. Suppose -5*s - 18 = -7*s - 4*q, -3*q + 1 = -s. Let m be x(s). Which is greater: -4/5 or m?
m
Let t(g) = -14*g + 2. Let s be t(-2). Suppose 5*d = -160 + s. Let n = -232/9 - d. Which is greater: 2 or n?
2
Suppose 0 = -2*l - 4*x - 12, x = -5*l - 3*x. Let s be (8/(-5))/(l/(-10)). Which is smaller: 6 or s?
s
Let v be (-5)/15 - 26/30. Which is greater: -1 or v?
-1
Suppose 0 = -q + 4*q - 6. Let g be (1/13*-2)/q. Let i = g + -32/91. Is -1 equal to i?
False
Suppose -76 = 4*a - 4*j, -4*a - 7*j - 96 = -6*j. Does -24 = a?
False
Let h = 3.9 - 4. Let b = 0.057 - -15.443. Let s = b - 16. Is h at least as big as s?
True
Suppose 6*a - 8*a = 5*i - 53, 3*a - 21 = -i. Which is smaller: 0.07 or i?
0.07
Let c = 14/13 - 55/39. Is c < -0.3?
True
Let t = -11 - -10. Let m = -5.89 + -0.11. Is t < m?
False
Suppose 4*y - y = 0. Suppose -2*l = 5*p - 1 - 2, 2*p - 5*l + 22 = y. Is p != 1/2?
True
Let f = -982/16107 - -4/413. Which is bigger: 0 or f?
0
Let h = -2519/19 + 3725/133. Let i = 104 + h. Which is smaller: i or -1?
-1
Suppose -34 = -2*d - 0*d - 4*y, -2*y = -d - 3. Is d at most as big as 7?
True
Let w(q) = -q**2 - 2*q + 3. Let h be w(-7). Let l = 23 + h. Which is smaller: l or -10?
-10
Let k be 126/10 - 6/(-15). Let r be (-4)/16*12/k. Which is smaller: -1 or r?
-1
Suppose -4*x + j = 139, 3*x - 2*j + 19 + 84 = 0. Is -36 at least x?
False
Suppose 0*a = a + 1. Let n(f) = -f**3 + 3*f**2 - f + 3. Let r be n(3). Which is smaller: a or r?
a
Suppose -4*o + 127 = 43. Let j be (-33)/o - (-4 - -1). Is 1 <= j?
True
Suppose 0 = -0*u - 5*u - 10. Let r be 3/u*16/(-60). Which is smaller: r or -1?
-1
Suppose -3 = -3*q - 15. Which is smaller: q or -2?
q
Let w(m) = m - 2. Let g be w(2). Let s = -11 - -19. Let i = s + -8.3. Are g and i non-equal?
True
Let f = -185 - -178. Is -4 not equal to f?
True
Let n = -0.4 + 0.5. Let d = n - -0.9. Is d smaller than 0?
False
Let z = 2/101 - 232/1515. Suppose 11*g = g. Is z smaller than g?
True
Let g(t) = -2*t**2 + 2*t + 2. Let q be g(2). Let b(x) = -2*x + 2. Let j be b(1). Let d be 3 - j/q - 3. Which is smaller: -1/7 or d?
-1/7
Suppose 0 = 2*v - w + 2 - 0, 5*v + 15 = 5*w | {
"pile_set_name": "DM Mathematics"
} |
u) = -4*u + 23. Let w be c(-20). Suppose 0 = 2*s - l - 73, 2*s + 21 = -2*l + w. What is the lowest common multiple of 1 and s?
38
Let g = -180 - -344. Suppose 5*m + 39 = f + g, 4*m + 4*f - 76 = 0. Calculate the lowest common multiple of 40/(-50)*(0 - 30) and m.
24
Suppose 15*u = 19*u + 1232. Calculate the common denominator of ((u/105)/(-11))/((-1)/70) and -1 + 38/17 + 1.
51
Suppose 2*j + 90 = 4*o, 81 = -5*o + 2*j + 195. Let b = -364717/24 - -15192. Find the common denominator of (-1 - 23/o) + (-6)/18 and b.
24
Let x(j) = j**2 - 6*j + 7. Let g(q) = -43*q + 177. Let k be g(4). Let b = 75 - 53. What is the smallest common multiple of x(k) and b?
22
Let d be (-4*(-2)/4)/2. Let r = d + 5. Suppose -295*u + 312*u - 170 = 0. Calculate the smallest common multiple of r and u.
30
Suppose -p - 5*b = 2 + 44, -4*p = 5*b + 169. Let h = -43 - p. Find the common denominator of -97/28 and (3048/216)/(h/(-3)).
84
Let h(n) = -n**3 + 14*n**2 + 18*n + 63. What is the smallest common multiple of 756 and h(15)?
756
Let m = -5039/14490 + -67/207. Calculate the common denominator of m and -7/4.
140
Let a = 171 + -160. Suppose 0*j = -j + 3*o - a, -65 = 3*j - o. What is the common denominator of 0/2 + 102/147 and j?
49
Calculate the least common multiple of ((-735)/(-28))/((-12)/(-32)) and 55.
770
Let g = -265221455/367524 - -59898/83. What is the common denominator of 43/328 and g?
8856
Let x = -31854079/632 + 50402. Calculate the common denominator of -38/395 and x.
3160
Let r = 105415 + -108261195/1027. Let o = r + 136411/18486. Calculate the common denominator of o and (-18)/(-80) - 8/(-20).
72
Suppose -24184 + 316 = -156*a. What is the smallest common multiple of 6171 and a?
18513
Suppose t + a = 291, -5*a - 1173 = -102*t + 98*t. Calculate the lowest common multiple of 4 and t.
292
Suppose -2*g = 2*l + 40654, -8259 = g - 2*l + 12071. Let k = 1076082509/30 + -35849093. Let c = g + k. Calculate the common denominator of -163/30 and c.
30
Let n = 4222 + -1215913/288. What is the common denominator of 9/976 and n?
17568
Suppose -60 = -2*v - 46. What is the common denominator of -1 + ((-47)/(-42) - 2) and v/28 - 63/(-12)?
42
Let r = -338 + 342. Suppose 0 = -r*d + 118 - 110. Calculate the smallest common multiple of 18 and d.
18
Let n(o) = -o + 60. Let u be n(19). Let c(w) = -w**3 - 5*w**2 - 3. Let m be c(-4). Let b = u + m. What is the smallest common multiple of b and 14?
154
Suppose -16*g - 486 = -43*g. Suppose k - 4*k + 8 = -2*d, 3*k - 13 = d. What is the smallest common multiple of k and g?
18
Let n = 1/4768 + -20863/14304. Find the common denominator of 19/64 and n.
192
Suppose x + 5*z - 36 - 42 = 0, 2*x + 2*z - 132 = 0. Calculate the smallest common multiple of 1/4 - 27/(-4) and x.
63
Suppose 0 = -12*y + 10*y + 28. Suppose -y*k + 15*k = 105. What is the lowest common multiple of k and 20?
420
Let a(y) = 28897*y - 2. Let p be a(2). Let q = p - 6819499/118. Let r = -455813/11 - -41438. What is the common denominator of q and r?
1298
Let r(a) = -a**3 + 11*a**2 - 8*a - 23. Let z be r(10). Let y = 23/12 + -105/4. Calculate the common denominator of (-1)/z*122/4 and y.
6
What is the common denominator of 1233/156 + 2/(-13) and (93/(7 - 4))/7?
28
Let d = -6202 - -30981/5. What is the common denominator of 68/4209 and d?
21045
Let s = 207 + -131. Suppose 3*c - 85 = 374. Suppose -137*b - 48 = -c*b. Calculate the least common multiple of s and b.
228
Find the common denominator of -145/492 and (-190)/76 + 469/164.
492
Suppose 42 - 92 = 5*n, -n - 90 = -4*a. Let m(f) = 6*f + 11. What is the least common multiple of m(9) and a?
260
Let u(p) be the first derivative of p**2 + 24*p - 29. Let f(q) = 1. Let k(v) = -2*f(v) - u(v). Calculate the smallest common multiple of k(-14) and 8.
8
Calculate the common denominator of (105304/31360 - 3) + 3/5 + -1 and 89/686.
5488
Suppose 18475 = 23*d + 15242 - 45941. What is the smallest common multiple of 16 and d?
17104
Let s = 46469/70 - 3361/5. Let z = 344 - 512. Let w = z + 681/4. What is the common denominator of s and w?
28
Let m = -3564855 - -35688501/10. Let a = -3991 + m. Find the common denominator of (38/4)/((-10)/12) and a.
10
Let a be 2/12 - 3522991197/18. Let g = -6264016383/32 - a. Let l = -28776 - g. Find the common denominator of 91/4 and l.
32
Let z = 21719/14 + -1555. Find the common denominator of z and 35/2168.
15176
Let k = 55 - 51. Let r be (-6869)/(-4) + (3 - 13/k). Let x = r - 20473/12. What is the common denominator of 73/21 and x?
84
Let t(d) = d**2 - 12*d - 13. Let h be t(12). Let q = 2931/4 + -11787/16. What is the common denominator of q and 2883/(-1248) + (-2)/h?
32
Let m(v) = 994*v + 450. What is the lowest common multiple of 30 and m(0)?
450
Suppose 4*n - f - 1527 = 0, 1174 = 4*n - n + 5*f. Suppose 0 = 31*w - n - 392. What is the least common multiple of w and 3?
75
What is the common denominator of (-26*-7*11/(-1540))/(88/(-70)) and -49/904?
9944
Suppose -133 = -6*r - 61. Suppose 2*m = -3*m - b + 56, -3*m - 5*b = -38. Calculate the lowest common multiple of r and m.
132
Let p be (-12)/(-6832)*(-34780)/(-66). Let b = p + 2/671. What is the common denominator of 161/30 and b?
210
Let y be (-6)/(((-20)/(-8) + -2)*-3). Suppose 0*a = y*a - 36. Let w = -12 - -39. What is the least common multiple of a and w?
27
Let v = 2/355879 - 19930346/199648119. Calculate the common denominator of 9/85 and v.
2805
Let b be -2*((0 - -5) + -4) + 7. Suppose b*a - 6 = 4*a + 5*g, -a + 9 = -4*g. What is the smallest common multiple of a and 9?
63
Suppose -64 = 4*d + 100. Let j = 73 + d. Find the common denominator of 109/6 and 1 + (j/112)/((-12)/202).
42
Let d(g) = g**3 - 11*g - 4. Let x be d(-3). Let i = -9 - -18. Calculate the smallest common multiple of 0 + x/(-4) + 44/8 and i.
45
Let x = 18421/10 + -1847. Let j = -14443/18 - -7192/9. Calculate the common denominator of j and x.
90
Suppose x - 240 = -0*x. Let v(a) = 53*a + 747. Let n be v(-14). Suppose -r = n*r - x. What is the least common multiple of r and 6?
120
Let p = -24 + 18. Calculate the common denominator of (-88)/(-12)*(-2)/32 and (-1605)/p*9/540.
24
Let g = 3/1445 - 53474/4335. Let b = -10 - -6. Find the common denominator of g and (-46)/72 + b/18.
36
Let h = 17613757/11 - 1603975. Let s = h + 2722. Calculate the common denominator of -9/76 and s.
836
Suppose 0 = -m - 4*p + 272, m - 13*p + 16*p - 270 = 0. Calculate the least common multiple of 132 and m.
264
Find the common denominator of -131/54 and 1651/(-396) + (-284)/(-781).
108
Let o(t) = -91*t + 2248. What is the lowest common multiple of o(-18) and 22?
42746
Suppose 0 = 9*i - 13*i - l + 3409, 0 = i - 4*l - 848. What is the least common multiple of i and 120?
8520
Let s = -6 - -6. Suppose s = 2*d - 26 + 4. Suppose -166 = 28*r - 474. What is the lowest common multiple of d and r?
11
Let o = -2336 - -6636. Let k = o - 90382/21. Let y = -1/16713 + -607231/133704. What is the common denominator of k and y?
168
Let c = -3887183126 - -65957723199233/16968. Let f = -11261 - -23884583/2121. Let i = f + c. Calculate the common denominator of i and 55/2.
8
Let a = 494818433/22 - 22485389. Let w = a + -6362. Calculate the common denominator of w and -145/876.
9636
Let d be ((-1)/5)/(13/(-130)). Suppose 4*b - d*o = -0*b + 668, 3*o + 338 = 2*b. What is the smallest common multiple of 8 and b?
664
Suppose -5*w + 2*d = -54, -3*w - 2*d - 6 = -48. Calculate the common denominator of -79/10 and -8 + w + (-161)/44.
220
Suppose 9*i - i = 40. Suppose 46 = -2*u + i*f, 4*u - 6*f + 82 = -f. What is the common denominator of 30/7 and ((-3)/(-9)*-85)/(84/u)?
14
Suppose 55*y - 15060 = 18150 - 5490. What is the least common multiple of 432 and y?
3024
Let k(i) = -i**2 - 14*i - 34. Let x be k(-10). Let t be ((-3)/x - -1)*2. Suppose -39*l + t = -38*l. What is the smallest common multiple of l and 11?
11
Let r be (212/(-6))/(0 + (-3)/135). Let b = r + -6433/4. What is the common denominator of 67/24 and b?
24
Let h be 3/4 + (-221)/(-52). Suppose 5*q - h*k - 105 = 0, -4*q + 22 = k - 62. Suppose -q*c = -16*c - 30. What is the smallest common multiple of 6 and c?
6
What is the lowest common multiple of 2 and (-781)/(-3) + -9 + 8/(-6)?
250
Suppose k - 30 = -k + 4*o, -2*o - 25 = -3*k. Calculate the least common multiple of 5 and 0 + 2 + 58 - | {
"pile_set_name": "DM Mathematics"
} |
40)*(4*l**2 - 2*l**2 + 2*l**2) in the form t*l + j*l**2 + h and give j.
237
Express 78*q + 104*q - 80*q in the form d*q + t and give d.
102
Express 2 + 2*o**4 - 7*o + 5*o + 18*o**3 - 10*o**3 - 2*o**3 as m + y*o**2 + b*o**4 + s*o**3 + n*o and give s.
6
Rearrange u**2 + 85*u**4 - 155*u**4 + 3*u**3 + 79*u**4 - 2 to b + q*u**2 + d*u**4 + t*u + m*u**3 and give b.
-2
Express 3*c + 3*c - c + (-4*c + 5*c + 0*c)*(-7 + 0 + 0) + 0*c - 2*c + c + (2 + 4 - 4)*(-2*c - 2*c + 6*c) + c - c - 2*c as k*c + n and give k.
-1
Express -13 - 15 - 17 + 2*b + b in the form k*b + i and give k.
3
Express (33*b**2 - 783 + 783)*(12*b + 10 - 10) as k + o*b + a*b**3 + v*b**2 and give a.
396
Express -o + o + o + 1 - o - 1 + (o - 5*o + o)*(1 + 5 + 2) as a + g*o and give g.
-24
Rearrange -136*r + 456 - 226 - 228 to the form p*r + c and give c.
2
Express -162 + 3*c**3 + 4*c**3 + 159 - c - 3*c**3 as m + u*c**2 + p*c**3 + d*c and give p.
4
Express -168*h**2 + 9*h**2 + h**3 + 60*h**2 - 8*h**2 as q*h + w*h**3 + j + a*h**2 and give a.
-107
Rearrange 4 + 29*c**2 - 13*c**2 + c**4 - 17*c**2 + c**4 to v*c**4 + t*c**3 + d*c**2 + o + g*c and give v.
2
Rearrange 2 + n**4 + 0 - 26*n**3 + 44*n**3 + 3*n**2 + n to the form t*n**2 + m + r*n + d*n**4 + y*n**3 and give d.
1
Express (660*f - 660*f - 48*f**2)*(f**2 - 6*f**2 - f**2) in the form o*f + k*f**3 + m*f**4 + p*f**2 + t and give m.
288
Rearrange 157*n + 124*n - 45*n to the form q + p*n and give p.
236
Express (-7*a**2 + 0*a**2 + a**2)*(-5 + 0 - 2)*(0 + 2 + 4)*(-1 + 2 - 3) in the form x*a + k*a**2 + z and give k.
-504
Rearrange (38*r - 1 - 50*r + 0)*(-11 + r - 2*r + 23) to the form l*r + z + s*r**2 and give s.
12
Express 106*f - 46*f - 66*f - 19 as o + q*f and give q.
-6
Rearrange -140*h**4 + 333*h**4 + 112*h**4 + (-h + 3*h - 3*h)*(2*h**3 - h**2 + h**2) to i*h + n + o*h**3 + l*h**2 + k*h**4 and give k.
303
Express -f**3 - 2 - 13*f - 1 + 11*f + 5*f as m*f**3 + n + o*f + s*f**2 and give n.
-3
Express -2*y**3 + 31 + 24 - 19*y**2 - y**3 - 56 as g + i*y**3 + m*y**2 + p*y and give i.
-3
Rearrange -425*t**3 - 5*t**2 + 1264*t**3 - 422*t**3 - 419*t**3 + 13 to the form i*t**2 + o*t + h*t**3 + z and give h.
-2
Express 2*z**2 - 10 - 45*z**3 + 37*z**3 + 0 as j*z + v*z**3 + x*z**2 + k and give v.
-8
Express (0*h - 4*h - 2*h + (0 + 0 - h)*(0 + 6 + 3))*(-2 - 2 + 0) in the form p + j*h and give j.
60
Rearrange (-4 + 3*l + 4 - l + 3*l - l + (0 - 2 + 3)*(-2*l + 3*l + 0*l))*(177 - 117 + 615 + 135) to the form o + f*l and give f.
4050
Express 235*a**2 - 12 + 21 - 9 as w*a**2 + n + y*a and give w.
235
Express 5 - 947*z + 1 - 7 + 1 as d + x*z and give x.
-947
Rearrange ((5 - 5 + 2)*(3*y - 2*y + y) + (-2 + 3 - 2)*(-y + 0*y + 0*y) - 5*y - 3*y + 6*y)*(13 + 0 + 4) to the form a + k*y and give k.
51
Rearrange -47*o**3 + 2*o**2 + 45*o**3 - 86*o - 3*o**2 + 0*o to the form a*o + j + x*o**3 + n*o**2 and give a.
-86
Rearrange -20*h + 151*h + 297*h to w + o*h and give w.
0
Express -7*i**3 + 61*i - 27*i**4 + 2*i**2 - 60*i + 31*i**4 in the form s*i + b*i**2 + z*i**4 + f + m*i**3 and give z.
4
Express -2*z + 0 + 0 + (6*z - 2*z - 2*z)*(4 - 1 - 1) + (2*z - 2 + 5 - 2 + (1 - 1 + 2*z)*(1 - 4 + 5))*(-2 + 0 + 3) as i*z + q and give i.
8
Express -1 + 27 - 26 - 2065*v as j + o*v and give o.
-2065
Express 0*m + 0*m + m**4 + (m**2 + 3*m**2 - 5*m**2)*(-98*m**2 - 50 + 526*m**2 + 52) in the form r*m**2 + q*m + n*m**3 + d*m**4 + u and give d.
-427
Rearrange (-k + 3*k + 1 - 3)*(93*k - 286*k - 113*k) + (-3*k + 5*k + 0*k)*(k + 2*k - 6*k) to u + z*k**2 + r*k and give r.
612
Express 90*q - 177*q + 78*q + (3*q + 0*q - 4*q)*(-2 - 1 + 2) as g*q + t and give g.
-8
Rearrange -53*x - 542*x**2 + 275*x**2 + 275*x**2 to p*x + m + o*x**2 and give p.
-53
Rearrange (-1 - 8 + 25)*(-3 + 8*s - 2 - 6*s) to h + g*s and give h.
-80
Rearrange u - 10639*u**3 + 10745*u**3 - 4*u to the form y*u**2 + g + b*u**3 + h*u and give h.
-3
Rearrange 1643*i - 1643*i + 2*i**2 - 743*i**3 to h + s*i**3 + g*i + z*i**2 and give h.
0
Express (4*l**2 - 6*l**2 - l**2)*(222 - 123 - 3*l - 116) as a*l**3 + v + c*l**2 + d*l and give c.
51
Express 96*x**2 - 85*x**2 - 57*x**2 - 27*x**2 + 1 in the form l*x + v*x**2 + c and give v.
-73
Express -436*h - 408*h - 560*h in the form p*h + i and give p.
-1404
Express -3 + 12918*q + 3 - 13338*q in the form s*q + p and give s.
-420
Express -67*j + 166*j + 29*j**3 - 31*j**3 in the form o*j**2 + u*j + n*j**3 + w and give o.
0
Rearrange (-1 - 7 - 17)*(-112 + 112 + 70*d**3)*(-1 + 2*d + 1) to the form l + w*d**3 + y*d + n*d**2 + t*d**4 and give t.
-3500
Express -15 + 2*t + 0*t**2 - 2*t**2 - t**2 - 14 + 5*t**2 in the form y*t**2 + p*t + j and give p.
2
Rearrange (33 - n**2 + 0*n**2 + 13*n**2 + 13)*(-4 - 1 + 4) to t + a*n + j*n**2 and give j.
-12
Rearrange (-3 + 3 - 4)*(-41*w + 3*w - 5*w)*(-w**2 + 0*w - 3*w + 2*w) to c + t*w**3 + r*w + k*w**2 and give r.
0
Express -4*m**2 + m + 3*m - 11*m**2 - m + m**4 + 0*m**4 - 3*m**3 in the form i*m**2 + k*m + l*m**3 + c*m**4 + t and give i.
-15
Express 2*d**3 - 8 + 7 - d**2 + 34 + 0*d**2 as s*d**2 + o*d**3 + l*d + v and give s.
-1
Express 0*t**2 + 2*t**2 + 2 - 109*t + 114*t as q*t + m + n*t**2 and give n.
2
Express 7 - 7 - o**2 + (1 - 1 - 2*o**2)*(-4 - 9 + 3) in the form d*o + q*o**2 + r and give q.
19
Express -4 + 56*d + 87*d + 7 - 43*d - 1 as n*d + r and give r.
2
Rearrange (-r + 417 - 188 - 143)*(-6*r - 4*r - 4*r) to k + s*r + g*r**2 and give g.
14
Express 0*u - 20 + 3*u + 10*u + 3*u - 14*u as l*u + f and give l.
2
Rearrange -1 - 2*c + 3*c**2 - 1605204*c**3 + 1605132*c**3 - 3*c**2 + c**4 to x*c**4 + r*c + s*c**3 + g + q*c**2 and give s.
-72
Rearrange -5*v**2 + 0*v**2 + 2*v**2 + 2 to p*v**2 + q + m*v and give p.
-3
Rearrange 2*l + 3*l - 3*l + l**3 + (5 + l**2 - 5)*(l + 4*l - l)*(10 - 21 - 17) to w*l**3 + y*l**2 + f + v*l and give w.
-111
Express 545*h - 3 + 3 - 314*h in the form a*h + x and give a.
231
Express 22842*l**4 + 1 + 3*l**3 - 22841*l**4 + 0*l**3 - 6*l**2 + 48*l**2 as q*l**4 + j*l**3 + u*l**2 + c*l + h and give u.
42
Rearrange 24*t**2 + 2*t**3 + 0*t**3 + 2 - 693*t + 233*t + 233*t + 231*t to the form q*t + r + k*t**3 + s*t**2 and give k.
2
Express 2*p + 0*p - 4*p**2 - 4*p**2 - 2*p**2 in the form o*p + b + i*p**2 and give o.
2
Express -19 + 21*h**2 - 48*h**2 - 34*h**2 + 22 - 16 in the form y*h + x + s*h**2 and give s.
-61
Express -58*q**2 + 110*q**2 + 15 - 58*q**2 in the form t + c*q + i*q**2 and give i.
-6
Rearrange -18234*x + 18171*x - 15 + 7 to s + q*x and give s.
-8
Rearrange 14 - 342*k + 344*k + 8 + 4 to n + m*k and give m.
2
Express (-2 + 2 + n)*(3*n - 6*n + n) - n**2 - 4*n**2 + 0*n**2 + 3*n**2 - 3*n**2 + 3*n**2 in the form x*n**2 + p*n + z and give x.
-4
Express 85*g**4 + 14*g**2 + 2*g**2 - g + 80*g**4 - 2 - 167*g**4 as b*g**3 + r*g**4 + t*g**2 + i + m*g and give t.
16
Rearrange 10*n**3 - 8*n**3 + 2*n**3 + (-2*n**3 + 1 - 1)*(2 - 5 + 1) to the form u*n + v*n**2 + o + l*n**3 and give l.
8
Express 30*a + 55 + 5*a - 12*a - 5*a as s + x*a and give s.
55
Rearrange (-32 + 5*x + 23 - 6*x)*(-94 + 23 + 17 - 88) to the form k*x + r and give k.
142
Express (6 - 3*y - 18 + 9)*(-31 - 21 - 225*y + 52) as o + a*y + z*y**2 and give z.
675
Rearrange (-2*j + 0 + 0 + (2*j + 3*j - 4*j)*(-2 - 8 + 4) + 0*j + j + 0*j + 1 - 1 - 5*j)*(2*j + j - j) to the form d*j**2 + b + y*j and give d.
-24
Rearrange -u**3 + 59*u + 7*u**4 - 3 + 2 - 61*u to the form j + s*u**4 + b*u**3 + p*u**2 + x*u and give x.
-2
Express -6*t**4 + 0*t - 2*t + 157 + 2*t**3 - 155 - 3*t**3 + 0*t**4 + 2*t**2 as p*t**3 + z*t**2 + x*t**4 + j + g*t and give z.
2
Rearrange (-4 - 1 + 3)*(-26*r**3 + 13*r**3 - 2 + 8*r**3)*(-38 + 38 + 26*r) to the form c*r**4 + v*r + z*r**2 + j + o*r**3 and give c.
260
Rearrange (-6 - n + 6)*(-4 + 2 + 1)*(-4 - 100 - 8) to the form l*n + o and give l.
-112
Rearrange 2*z**3 - 2*z + 1416*z**4 + 15*z**2 - 2830*z**4 + 1413*z**4 to m*z**3 + b*z**4 + d*z + i + q*z**2 and give b.
-1
Express 7948 + 219*w - 7948 as m*w + y and give m.
219
Express 3*x**2 - 18*x**3 + 0*x**2 - 19*x**2 + 26*x**3 + 9 - 9*x**3 in the form s + z*x**2 + n*x + w*x**3 and give z.
-16
Express (11 - 2 + 6)*(-17*o - 8*o - o) + (-4 + 0 + 3)*(o + 2*o - 5*o) + o - 5*o - o + 3*o - 2*o - 2*o in the form a*o + h and give a.
-394
Express a + 11*a + 2*a**2 - 4*a + 4*a - 5*a**2 in the form g + q*a**2 + n*a and give n.
12
Express m**2 - | {
"pile_set_name": "DM Mathematics"
} |
ive.
b**(11/3)
Simplify ((r**0/r**9)/(r/r**1*((r*r**6)/r)/r*r))/(r/r**7*r*r**(-1/7)*r/r**0*r*r**(-1/4)/r) assuming r is positive.
r**(-297/28)
Simplify ((n*n*n**(-2/3))/(n*((n/(n*n*n**0))/n)/n))/(n**3*n**(-6))*(n**(2/3)*n)**(-1/9)/(n**1/(n/n**(-4/7))) assuming n is positive.
n**(1270/189)
Simplify ((n*n**1/n)**19/(n/n**(-1))**45)/(n**(2/5)/(n**(-4/11)*n))**38 assuming n is positive.
n**(-3411/55)
Simplify (((s/s**(-5/4))/s)/s**(-3/10))**8/((s/s**(4/5)*s**(-7)/s)/((s/((s/s**(-2/3))/s)*s)/(s**(-5/3)*s))) assuming s is positive.
s**(111/5)
Simplify b**(-24)*b*b*b**(-2/37)*b*((b/(b/b**(-11/3)))/b)/b**(-11) assuming b is positive.
b**(-1634/111)
Simplify (x**(14/5)/(x*x*x*x*x**(-2/81))*(x*x**(-4/3))/(x**(-9)/x*x))**(-5/6) assuming x is positive.
x**(-1517/243)
Simplify (j/(j/((j**(-3)*j)/j)*j))/j**(-1/9)*(j**(-1/3)*j)**(-35)*(j**(-2/5)*j*(j*j**(-3/4)*j)/j)/(j/(j*j*j**2)*j**8) assuming j is positive.
j**(-5647/180)
Simplify (p/((p/p**7)/p)*p**(-4)*(p**(2/7))**15)/((p**(2/3))**(-37)/((p**(-4)*p)/(p*(p*p*p**(-2/7))/p*p*p))) assuming p is positive.
p**(551/21)
Simplify ((a/(a*a**(-2/9)))/(a/(((a**(-2/19)*a)/a)/a)))/(((a**(-8/7)/a)/a)/(a/((a**(1/3)/a)/a)))*a**3/a*a**8*(a*a**(1/2)/a)**(-8/7) assuming a is positive.
a**(15986/1197)
Simplify (f*f/(f*f**(-39))*f**31)/(f**(-32)*f)**(-29) assuming f is positive.
f**(-828)
Simplify ((u**(2/21)*u**(4/7)*u**(-1)/(u**(2/7)/u))**(-3/4))**23 assuming u is positive.
u**(-46/7)
Simplify (z/(z*z*(z*z**(-3))/z)*z**(5/4)*z*z/(z/(z*z/z**2*z*z)*z*z)*z**(4/3)/z)/(z**(2/11)*z**(-5)*(z*z*z**1/z*z)**15) assuming z is positive.
z**(-4699/132)
Simplify ((l**(-1/2))**(-18)/(l**(-8)*l**8))/((l**(-2))**(4/3)/(l**(-7)/l*l*l/((l**(-5/2)*l)/l))) assuming l is positive.
l**(49/6)
Simplify ((t*t**1)**(6/5)/(t*(t*t**6)/t*t/(t**(-1/11)*t)))/((t**1)**(-32/3))**(-4/15) assuming t is positive.
t**(-746/99)
Simplify (i**(-7)/i**4)**23*(i**0)**(-2/79)*(i**(1/10)/i)/(i/i**(-2)*i) assuming i is positive.
i**(-2579/10)
Simplify (p**(1/2)*(p**2/p*p)/p*p**0/p**(2/9))/((p**(-4)/(p/p**(-1/2)))/(p*(((p*p**(1/4))/p)/p)/p)**(-11)) assuming p is positive.
p**(541/36)
Simplify ((((d/d**(-5))/d**4)/(d**(-1/4))**(-1/15))**(-21))**45 assuming d is positive.
d**(-7497/4)
Simplify ((((h*h/h**(1/3))**(8/9))**(-48/11))**(-10))**(11/2) assuming h is positive.
h**(3200/9)
Simplify (((k*k**(-3/10))/(k*k**(-7/2)*k*k))/(k**(-5)/(k*k**5/k)))**(43/4) assuming k is positive.
k**(602/5)
Simplify (o/(o/o**(-1)))**(3/13)*(((o**(-1)*o*o)/o)/o*o)**27*(o/o**(1/2)*o*o**(2/5)*o)/((o**0*o)/o*o**2) assuming o is positive.
o**(87/130)
Simplify ((q**(4/5)*q/(q/(q*q**(4/7))))/(q**(-3))**38)**(-1) assuming q is positive.
q**(-4073/35)
Simplify ((g**(-3/8)/(g/g**1))/(g**(-13)*g*g*g**15/g))**(-13/7) assuming g is positive.
g**(351/56)
Simplify ((j**2/((j*j**(-3/16)*j)/j*j*j))/(j**21/j**(-24)))**(1/14) assuming j is positive.
j**(-733/224)
Simplify ((b*(b**(-1/3)*b)/b*b)**(1/92)*(b*b/(b**5/b))/(b**(-2)/b*b))/((b**(-1/5))**(-2/9))**(-10) assuming b is positive.
b**(383/828)
Simplify ((k/(k*k**(-37)*k)*k**(-2/35))/(((k**(-1)*k*k)/k*k)/((k/k**(2/9))/k*k)))**(-6/23) assuming k is positive.
k**(-22504/2415)
Simplify v**(2/5)*v*v/(v/v**(-2/5))*(v**0/v)/(v*v/v**(-4))*(v**3/v*v**(-4)*v)/(v/((v/(v*v*v**1*v))/v))**(2/93) assuming v is positive.
v**(-661/93)
Simplify ((x/x**44)/((x/x**(-2/59))/x))/(x*(x/(x/(x/x**13)))/x*x**(-21)) assuming x is positive.
x**(-592/59)
Simplify (l**(-3/2)/l**2)/(l**(4/7)*l**8)*(l*l*l/(l**(-1/3)*l)*l)**(-36)*(l**0)**(-2/9) assuming l is positive.
l**(-1849/14)
Simplify ((w**(2/5))**2*w/w**(1/4)*w**7)/((w**(-2/21)*w)/w*w**(-6)/w*(w*w**(1/10))/w**(-6)) assuming w is positive.
w**(3589/420)
Simplify (c*c**14*c*c*c**(-11)*c**(-6)*c**(-6)/c)**(-5/8) assuming c is positive.
c**(35/8)
Simplify (((o*o**(2/3)/o)**14*(o*o/(o/(o/(o*o*o/(o**(5/6)*o)*o))))/(o/((o**(2/15)*o*o)/o)))**(-47))**(2/5) assuming o is positive.
o**(-4371/25)
Simplify ((i**0/i)**(2/97)/(i*i**4)**(18/5))**(2/19) assuming i is positive.
i**(-184/97)
Simplify (d**7*d*d**13*d**15*d*((((d/(d*d**(-13))*d)/d)/d)/d*d)/d)**(-8) assuming d is positive.
d**(-384)
Simplify (((g/(g*g**(-14))*g/(g*g/g**13))**(-11/3))**(-1/5))**(-2/87) assuming g is positive.
g**(-572/1305)
Simplify (y/y**(-2/49)*y*y*y*y/(y*y/(y**(-5/2)*y))*y)/((y/((y**(-28)*y)/y))/(y*y**(-3)*y)) assuming y is positive.
y**(-2691/98)
Simplify (v/(v/(v/(v/(v**(-1/2)*v)))))**(-45)/(((((v*(v/(v*v/v**(2/5))*v)/v*v)/v)/v)/v)/v)**10*((v**0)**(2/131))**(2/41) assuming v is positive.
v**(7/2)
Simplify (r*r*r*r**(1/6)*r*r**(-5)*r*(r/((r/r**1)/r))**(-23/6))/((r**(-1/3))**8)**(-2/11) assuming r is positive.
r**(-527/66)
Simplify m**1/(m*m**(1/4)/m)*(m/(m/(m*m**0*m)))**(-43)*(m**(-1/3)/m**(-2/3))**(-19) assuming m is positive.
m**(-1099/12)
Simplify (((t*t*t*t**(2/25))/t)**12*t/t**(-6)*t**(-12/11))**(-1/16) assuming t is positive.
t**(-8489/4400)
Simplify (q**27/q**(1/24)*(q/(q**(-18)*q))**16)**(-2/71) assuming q is positive.
q**(-7559/852)
Simplify (c**(-3/2)/(c*c**(-4)*c))**16*(c**(5/2)/(c**(-3/5)*c))/(c/(c/(c/((((c**0/c)/c)/c)/c)*c)*c))**(-29) assuming c is positive.
c**(1551/10)
Simplify (k/(k/k**(-1)))**(-48)*(k**(-1/3))**(-2/57)*(k**(-4/3)/k**(2/15))**24 assuming k is positive.
k**(10954/855)
Simplify ((q/(((q**(-27)/q)/q)/q*q))/q)/q*q*q**(11/6)*(q/q**(-21))**26 assuming q is positive.
q**(3617/6)
Simplify ((q/((q**(-8/3)/q)/q)*q*q*q)**(-29)/((q/(q/(q*q/q**14*q*q)))/(q/(q/(q/q**10)))))**39 assuming q is positive.
q**(-9763)
Simplify ((p/(p/(p/p**(-5))*p))**(-2/3)/(p*p**(1/3))**8)**(-3/17) assuming p is positive.
p**(42/17)
Simplify (t/t**(-38))**(-4/5)*t**29*t**23 assuming t is positive.
t**(104/5)
Simplify (x**(1/14))**(2/9)*x**(-1)*x**(1/33) assuming x is positive.
x**(-661/693)
Simplify (b**(-1/5)/b**4)**(-8)*(b**(2/15)*b/(b/b**2))/(b*b**0)**(-3/7) assuming b is positive.
b**(3797/105)
Simplify (y*y**(-7))/y*y**(-3/2)/y*y**(3/5)*(y/(y**(-5)*y))/y*(y*y**(-1))**(-32)*(y*y**(1/16))/((y*y**(-1/3))/y) assuming y is positive.
y**(-841/240)
Simplify x**(2/33)/(x/x**(-41)*x)*(x**(-23))**44 assuming x is positive.
x**(-34813/33)
Simplify ((c*c/(c/c**1))/c**(2/11))/(c**(-2/21)/(((c*c**2*c*c)/c*c)/c))*(c**(1/4))**(-8/5)*(c/c**(-5/4))/(c/(c*c*c/c**(2/9))) assuming c is positive.
c**(132241/13860)
Simplify (p/p**(-3/17)*p/(p**(-2/113)*p))/(p**6*(p/p**(-25))/p) assuming p is positive.
p**(-57257/1921)
Simplify y*y**(1/4)*y*y**(-42)/y*y*y/y**(-24)*y*y**27 assuming y is positive.
y**(53/4)
Simplify a**(-4/7)/a**(-1)*a**(-3/8)*a*(a/(a*(a/a**(-4))/a))/a*a*((a**0/a)**1)**22 assuming a is positive.
a**(-1397/56)
Simplify (r*r/(r/((r/(r**9*r))/r))*r*r**(-5)*r**(2/13)*r/(((r/r**16)/r)/r))**(-2/89) assuming r is positive.
r**(-134/1157)
Simplify (m**(4/3)*m*m**(-4/3)*(m*m/(m/m**(-3/26)))**(6/5))**(-31) assuming m is positive.
m**(-4154/65)
Simplify (i/i**(-10)*i/(i*(i**(3/5)*i)/i))**(-10)/((i*i*i*i**(-1/13)*i)/i**(-9))**(-14/13) assuming i is positive.
i**(-15224/169)
Simplify ((k**(-3))**(-1/24)/(k**(2/17)/k*k*k**(-6/17)/k*k))**34 assuming k is positive.
k**(49/4)
Simplify ((n**(-2)/(n**(2/5)*n))/(n*n**(-1)*n)**(1/31))/(n**7*(n**(-1)*n)/n*n**(-1)/n**(-2/13)) assuming n is positive.
n**(-17301/2015)
Simplify (i*(i*i**(-2)*i)/i*i**(-2/3)*(i*i**(1/3))**22)/((i/((i**4*i)/i)*i)/i**(-7)*i**(-1/11)/(i**(-5)/i)) assuming i is positive.
i**(586/33)
Simplify ((h**(1/6)/h**(27/5))/(h/h**(-1/13)*h)**(-29))**(-6) assuming h is positive.
h**(-21449/65)
Simplify (((m**(-26)/m)/m**(6/13))/((m/(((m**(-10)*m)/m)/m)*m)/(m**7*m)))**(6/13) assuming m is positive.
m**(-2532/169)
Simplify (l*l/((l**2/l)/l)*l*l**5)**(10/9)/(l**(1/11)/l**(-2/17))**(-44) assuming l is positive.
l**(2764/153)
Simplify ((r**(3/14)*r/(r/(r*r/(r*r**(-2/17)))))/((r*r**28)/(r*r**(-5/6)*r*r)))**(7/11) assuming r is positive.
r**(-9104/561)
Simplify ((d/(((d**(-1/4)*d)/d)/d))**(-3/37)*d**(1/5)*d**(2/7))/((d**(-1/8)/(d*d**(-1/7)))/(d**(2/7)*d)**(-23)) assuming d is positive.
d**(-293043/10360)
Simplify ((p**(-2/23)/((p*p*p**7)/p))/(p*(p*p**(3/11)*p*p)/p)**(-3/34))**(-14) assuming p is positive.
p**(469560/4301)
Simplify ((f/(f**(-2/3)*f)*f/(f**(-8/7)/f))/(f/(f/(f**13/f*f))*f)**(-18))**(-23) assuming f is positive.
f**(-123556/21)
Simplify ((v*v**4*v*v/v**0)/((v*v/(v**(-1/2)*v)*v*v)/v*v**(-1/4)))/((v*v**(-1/3))/v*v**5*(v**(-1 | {
"pile_set_name": "DM Mathematics"
} |
1167053, 1166992, 1166897, 1166762, 1166581, 1166348, 1166057?
1165702
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-22057
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123225
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252953762
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6394
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164174
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2507
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-86773
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-7304
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5107677
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484011
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-108185287
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39805
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348869160
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92371
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-207975
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-55797
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223166572
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-23224602
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-35967
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-813266
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1066
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46415
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-38487
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54374752
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-1589871
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-16504
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4499
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-149573
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2569817
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60550
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27014
What is next in 13892794, 13892798, 13892804, 13892812, 13892822, 13892834, 13892848?
13892864
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201519
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-5629
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-161150
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22548
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-2950
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-60997
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28237535
What is next in -2067, -650, 767, 2184, 3601, 5018?
6435
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-3943
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14235
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-337
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-25174
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3126
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-8421
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1481548
What comes next: -5279929, -10559859, -15839789, -21119719, -26399649, -31679579?
-36959509
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-4723
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1695506323
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1566422
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10477058
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-47600
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3993695
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-809
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-1761821
What is the next term in 17885, 35125, 52363, 69599, 86833, 104065, 121295?
138523
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51220
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-7077
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-261270
What comes next: -11141, -22014, -32355, -41900, -50385, -57546, -63119, -66840?
-68445
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60766682
What is the next term in -678, -2912, -6640, -11796, -18314, -26128, -35172?
-45380
What is the next term in -21138871, -21138849, -21138827, -21138805, -21138783?
-21138761
What is the next term in 14387, 28465, 42543, 56621, 70699, 84777?
98855
What is next in 6113394, 6113344, 6113282, 6113202, 6113098, 6112964, 6112794, 6112582?
6112322
What is the next term in -2215144, -2215135, -2215126, -2215117?
-2215108
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248099267
What is the next term in 99182, 396555, 892126, 1585895, 2477862, 3568027?
4856390
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11276
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125543
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700166
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4253
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56383
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13538772
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-359177
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-8183
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-981187
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-1495841
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124735
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12070
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2938006
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272475
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1748258
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-1003142
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-9634224
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222197
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-369233
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851345
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4882
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599754
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-3957
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-80463
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-137813252
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9667235
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411874
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402433680
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396937
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7153
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-75019
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56911454
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-539452
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-52809
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-15471298
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-92359926
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9506419
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733737
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14076
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182382
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-514359987
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-495689
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-94387581
What is the next term in 16202603, 16202533, 16202463, 16202393, 16202323?
16202253
What is the next term in 17405, 2000 | {
"pile_set_name": "DM Mathematics"
} |
*l*o - 11*l*y - 22*l + 2*o*y - 2*o + 75*y + 2 with respect to l.
-c*o - 5*o - 11*y - 22
Differentiate 3*d*u**3 + 2503*d*u**2 + 41*d + 103 with respect to u.
9*d*u**2 + 5006*d*u
What is the second derivative of -611*a**4 + 3*a**3*p**2 + 65*a*p**2 + 2*a + p**2 wrt a?
-7332*a**2 + 18*a*p**2
What is the derivative of 795*p + 1050?
795
Find the second derivative of 5159*j*w**2 - 2*j*w - 150*j + 2*w + 2 wrt w.
10318*j
What is the second derivative of -f**3*g**2*s - 4*f**3*s**3 - 45*f**2*g**2*s**3 - 3*f**2*g*s + 2*s**3 wrt g?
-2*f**3*s - 90*f**2*s**3
What is the derivative of -1320*j**2*u + j**2 - 39*u - 12 wrt j?
-2640*j*u + 2*j
Find the third derivative of -r**5*y - r**4 - 8*r**3*y**3 - r**2*y**3 - 76*r wrt r.
-60*r**2*y - 24*r - 48*y**3
What is the first derivative of -106*o**3 - 4*o**2 + 16800?
-318*o**2 - 8*o
What is the second derivative of 278*u*w**4 + 4*u*w**3 + u*w**2 + 2225*u - w + 1 wrt w?
3336*u*w**2 + 24*u*w + 2*u
Find the first derivative of 219*a**2*u**2*z**3 - 845*u**2 + 2*u*z**3 wrt a.
438*a*u**2*z**3
Find the second derivative of -1939*g*k*r**2 + g*k*r + 3*g*r**2 + 16*g - 31*k*r wrt r.
-3878*g*k + 6*g
What is the derivative of 5*g*x**2 + g*x - 183*g + 8*x wrt x?
10*g*x + g + 8
Find the second derivative of -22*c**2*j**3 + c**2*j - 14*c**2 + c*j**3 + 9*c*j + 31*j**4 - 12*j wrt j.
-132*c**2*j + 6*c*j + 372*j**2
Differentiate -20180*a**4 + 3729 wrt a.
-80720*a**3
What is the derivative of 2932*y**2 - 2447?
5864*y
Differentiate -3*p**2*s**2 + 22*p**2*s + 2*p**2 + 3 wrt s.
-6*p**2*s + 22*p**2
What is the second derivative of 2*h**5 - 325*h**3 - 490*h?
40*h**3 - 1950*h
Find the third derivative of -10*g**3*s*u**3 + 8*g**3*s*u**2 - g**2*u**3 + 79*g**2*u - 3*g*s*u**2 wrt g.
-60*s*u**3 + 48*s*u**2
Differentiate -6815*t**4 - 7452 with respect to t.
-27260*t**3
What is the second derivative of -3*g**2*i**2*p*z**2 + g**2*i**2*p - 15*g**2*i**2 - g**2*i*p*z + 14*g**2*p*z**2 - g*i*p*z - 2*g*p*z wrt z?
-6*g**2*i**2*p + 28*g**2*p
What is the third derivative of -2*o**3*z**4 - 2*o**3 + 3*o*z**4 - 9*o + 9*z**5 - 5*z**2 wrt z?
-48*o**3*z + 72*o*z + 540*z**2
Find the second derivative of 7*g*r**3*t**3 + 5*g*r**3 - 3*g*r + 6*g*t**3 - 14*g*t + 2*r**3*t wrt r.
42*g*r*t**3 + 30*g*r + 12*r*t
Find the first derivative of -1669*d**4 - 587.
-6676*d**3
What is the second derivative of 481*l**2*s**3 + 2*l*s**2 - 2*s**3 + 331*s wrt l?
962*s**3
What is the second derivative of -b**2*q**2 + 175*b**2*q - 89*b*q**2 wrt b?
-2*q**2 + 350*q
What is the derivative of 48*g**3*r + g**3*y - 4*g*r*y**2 + 2*g*r - 9*g + 103*y**3 wrt y?
g**3 - 8*g*r*y + 309*y**2
Differentiate -1267*h - 2327.
-1267
Find the second derivative of 2494*q**2*x*y**2 - 3*q**2*x - 714*q*y**2 + x*y**2 - 2*y**2 wrt q.
4988*x*y**2 - 6*x
What is the second derivative of 480*v**2 + 257*v wrt v?
960
Find the second derivative of -9*j**5 - 24*j**4*m + 2*j*m + 41*j wrt j.
-180*j**3 - 288*j**2*m
Find the third derivative of -134*y**3 - 24*y**2.
-804
Differentiate -2*f**3*h**2 + f**3*k + 11*f*h**2 - 182*f*k - 2*h*k wrt h.
-4*f**3*h + 22*f*h - 2*k
What is the first derivative of 7*p*u - p + 8*u**2 + 201 wrt u?
7*p + 16*u
Find the third derivative of 2547*u**3 + 3527*u**2.
15282
Find the second derivative of b**4 - 1655*b**3*f*s**3 - 42*b*f*s**3 - b*f*s + 46*b*s + 2*f*s**3 + f*s**2 wrt b.
12*b**2 - 9930*b*f*s**3
Find the third derivative of c**4 + 59*c**3*j**2 + c**2*j**2 + 2*c*j + 37*j**2 wrt c.
24*c + 354*j**2
Find the second derivative of b*n**2*v - 7*b*n*v**2 - 25*b*v**2 - 3*b*v - 82*b - n**3*v**2 + n**3 wrt v.
-14*b*n - 50*b - 2*n**3
What is the second derivative of -762*f**3*q**2*s + 2*f**3*q**2 + 62*f**3 + f**2*q**2 - 2*f**2*q*s - 3*q wrt q?
-1524*f**3*s + 4*f**3 + 2*f**2
What is the derivative of 1213*h*l + 2*h - 6*l - 105 wrt h?
1213*l + 2
Differentiate -10515*v**4 - v**3 + 17280 wrt v.
-42060*v**3 - 3*v**2
What is the third derivative of -2*d**3*k**3 + 2*d**3*k**2 + 6*d**2*k**6 + k**3 + 245 wrt k?
-12*d**3 + 720*d**2*k**3 + 6
What is the derivative of 2*b**2*u**2 + 14*b**2*u + 3*b**2 - 18*u**2 - 1205 wrt u?
4*b**2*u + 14*b**2 - 36*u
What is the second derivative of -101*b**5*j + 2*b**4*j*m + 7*b*j + b*m + 2*j - 7 wrt b?
-2020*b**3*j + 24*b**2*j*m
What is the third derivative of -4*x**4 - 1038*x**3 + 11253*x**2 - 1?
-96*x - 6228
Find the third derivative of -x**6 + 120*x**3 - 14*x**2 - 2*x.
-120*x**3 + 720
What is the derivative of l**2 + 308*l - 103?
2*l + 308
Differentiate -3*l**3 - 31*l**2 - 5*l + 4436 with respect to l.
-9*l**2 - 62*l - 5
What is the first derivative of -406*q + 303 wrt q?
-406
What is the third derivative of -65*t**4 + 15*t**3 + 67*t**2 + t + 16?
-1560*t + 90
What is the first derivative of 2*c**2 - 553*c + 1137?
4*c - 553
Differentiate 19*j**4 - j**2 - 1050.
76*j**3 - 2*j
Differentiate 497*g*h**2*m + 149*g*h**2 - 2*g + 2*h**2*m with respect to m.
497*g*h**2 + 2*h**2
Differentiate -87*a**3*d**2 - 4*a**3*x - 2*a**3 + 2*a**2*d**2*x + a*d**2 with respect to x.
-4*a**3 + 2*a**2*d**2
Differentiate -7307*i**2 + 3416 wrt i.
-14614*i
What is the second derivative of -1144*p**2 - 1313*p wrt p?
-2288
Find the second derivative of -2*g**5 - 7*g**4 - 114*g**3 - 17*g - 7.
-40*g**3 - 84*g**2 - 684*g
What is the derivative of i**3 - 4*i**2 - 17*i*o**2 - 21*o**2 + 7 wrt i?
3*i**2 - 8*i - 17*o**2
Find the second derivative of -s*x**3 + s - 6*x**5 - x**3 - 74*x wrt x.
-6*s*x - 120*x**3 - 6*x
Differentiate -4*n**2*y + 477*n**2 + 11*y with respect to y.
-4*n**2 + 11
Find the second derivative of 568*s**5 - 486*s.
11360*s**3
What is the derivative of 76*b**2*v + 34*b**2 - 2*b wrt v?
76*b**2
What is the second derivative of -15*a**2*u**3 - 14*a**2*u + 5*a*u**2 + a*u - 6*u**3 - 2*u**2 - 15 wrt u?
-90*a**2*u + 10*a - 36*u - 4
Find the third derivative of 434*w**6 + 140*w**2.
52080*w**3
What is the third derivative of 1722*m**6 + 2*m**5 - 2*m**2 - 1392*m wrt m?
206640*m**3 + 120*m**2
What is the second derivative of -1868*l**2*r**2 - l**2 + 586*l*r wrt r?
-3736*l**2
Find the third derivative of -441*t**2*y**5 + 41*t**2 + 4*t*y**2 wrt y.
-26460*t**2*y**2
Find the second derivative of -13*g*h*n**2*o**2 + 4*g*n*o**2 - 35*h*n**2*o**2 - 70*h*n + 2*h*o + 2*n**2*o - 2*o**2 - o wrt n.
-26*g*h*o**2 - 70*h*o**2 + 4*o
What is the second derivative of -17*s**5 + 23*s**2 + 1639*s?
-340*s**3 + 46
Find the second derivative of 2273*d**2 - 2592*d wrt d.
4546
Differentiate -464*b**3 - 71 wrt b.
-1392*b**2
What is the third derivative of -948*g*p*q**3 + g*p*q**2 + 2*g*q**2 + g*q - p*q**4 + 11*p + 2*q**4 + 2*q**2 wrt q?
-5688*g*p - 24*p*q + 48*q
What is the second derivative of -2*l**3*v**5 + 10*l**3*v + l**2*v - 9*l*v**5 - 3*v**2 wrt v?
-40*l**3*v**3 - 180*l*v**3 - 6
Differentiate 49*d**4*o - 13*d**4 - 595*o wrt d.
196*d**3*o - 52*d**3
What is the derivative of -c**2*g**2*w + 203*c**2*g + 506*c*g*w - g**2 - g wrt w?
-c**2*g**2 + 506*c*g
What is the first derivative of -24*m**3*o*z - m**3*o + 2*m**3*w*z + 46*m**3*w + 4*m*o*w*z - 8*o*z wrt w?
2*m**3*z + 46*m**3 + 4*m*o*z
Find the first derivative of -14114*s + 17209 wrt s.
-14114
What is the third derivative of -35*b*m**3 - 9*b + 2*m**3 + 2*m**2 - 3*m wrt m?
-210*b + 12
What is the second derivative of 92*p**4 - 2*p + 146 wrt p?
1104*p**2
What is the third derivative of 9001*c**3 + 8229*c**2 wrt c?
54006
What is the first derivative of w**3 - 2204*w + 3074?
3*w**2 - 2204
Find the second derivative of -4*d**4 - 1023*d**2 - 3166*d wrt d.
-48*d**2 - 2046
What is the third derivative of -814*x**4 + 864*x**2?
-19536*x
Find the third derivative of -571*n**3 - 38*n**2.
-3426
What is the third derivative of -5429*n**2*u**3 - 4*n**2*u**2 - 367*n**2 - n*u wrt u?
-32574*n**2
Differentiate -506*v**2 + 563.
-1012*v
Find the second derivative of 6*r**3 + 113*r.
36*r
What is the derivative of -27*a**4 - 4*a**2 + 442?
-108*a**3 - 8*a
What is the second derivative of -8*b**3*z**4 + b**3*z + 2*b**3 + 86*b**2*z**5 + 516*b**2*z wrt z?
-96*b**3*z**2 + 1720*b**2*z**3
Find the second derivative of 4227*a**5*y**3 + 2*a**4*y**3 + 19*a*y + 88*y**3 wrt a.
84540*a**3*y**3 + 24*a**2*y**3
Find the third derivative of -113*o**3 - 51*o**2 wrt o.
-678
Find the second derivative of -4*o**5*y**3 - 457*o**2*y**3 + 2*o*y**3 + 2*o*y - 223*y wrt o.
-80*o**3*y**3 - 914*y**3
Differentiate 10514*q + 10259 with resp | {
"pile_set_name": "DM Mathematics"
} |
- sqrt(6)*-2))*-1)*1.
33*sqrt(7)/2
Simplify (sqrt(150)/(5*sqrt(45))*-4)/((sqrt(3000)*2)/(-4*sqrt(15)/sqrt(3))).
4*sqrt(5)/75
Simplify (6*(sqrt(833) + -2)*-4*5 + -5 + 5 + -4)*-1.
-236 + 840*sqrt(17)
Simplify ((5*(sqrt(26)/sqrt(2) - sqrt(13))*5)**2 + 2 + 2 + (sqrt(13) - sqrt(208)) + (-1*sqrt(637) + sqrt(13) - sqrt(13))**2)*-4*5.
-12820 + 60*sqrt(13)
Simplify -3*1*(2 + sqrt(704) + sqrt(704))*1 + (-4*sqrt(1782))/(sqrt(72)*-1).
-42*sqrt(11) - 6
Simplify 4 + (sqrt(152) - (sqrt(152) - (sqrt(152) + 5*sqrt(152)*-2)))/sqrt(8) - (-4*(sqrt(19) - ((sqrt(38)/sqrt(2) - sqrt(19)) + 4)))**2*5.
-2796 + 631*sqrt(19)
Simplify (-4*(sqrt(6)*-2*4 - (sqrt(42)/sqrt(112) - sqrt(6))))/(3*(sqrt(480) + sqrt(480) + -1*sqrt(480))/sqrt(10)).
29*sqrt(2)/12
Simplify -3*5*((0 + sqrt(567))*-6*-1 + 2) + -1.
-810*sqrt(7) - 31
Simplify 4 + (sqrt(162)*-2)**2 + (1 + sqrt(2))*1 + sqrt(2) + (3 + 2 + sqrt(2))*2 + 2.
4*sqrt(2) + 665
Simplify ((((sqrt(198) + (-2*sqrt(198) - sqrt(198)))*-1 + sqrt(198))*1)/((sqrt(30)/(sqrt(5)*2))/((-1*sqrt(36) - sqrt(36))/sqrt(12) + sqrt(3))))**2.
3564
Simplify (-4*1*((sqrt(156)*1 + sqrt(156))*-5 - sqrt(156)))/(sqrt(24)/sqrt(2)*1 + sqrt(12) + 4*sqrt(48)/sqrt(4)).
22*sqrt(13)/3
Simplify 3*((-3*1*sqrt(132) - sqrt(132) - sqrt(132))/sqrt(4))/(sqrt(396)*-1 + sqrt(396) + -2*sqrt(396)).
5*sqrt(3)/4
Simplify -2 + 3 + (4*sqrt(405) + -3)**2 + (sqrt(20) - sqrt(1280)*-1)/sqrt(4).
-207*sqrt(5) + 6490
Simplify ((-4 + 6*(sqrt(363) + -4*(sqrt(363) + -1)) + 5 + (2*sqrt(363) + sqrt(363))*-3)*-6*-1)**2.
-534600*sqrt(3) + 9549072
Simplify -2 + 1 + (sqrt(120)/(sqrt(9)/sqrt(3))*6)/(-1*sqrt(288)*1) + -1.
-sqrt(5) - 2
Simplify 3 + (6*(1 + sqrt(175) + 3))**2 + -1*(sqrt(175) + sqrt(175) + (0 + sqrt(175) + sqrt(175))*1) + -5.
1420*sqrt(7) + 6874
Simplify ((sqrt(60) + (sqrt(60) + sqrt(180)/sqrt(3)*3 - sqrt(60)))/(-1*sqrt(6)/sqrt(3)))/(sqrt(6) + (sqrt(72)/sqrt(2))/sqrt(6) - sqrt(486)*-3).
-4*sqrt(5)/29
Simplify 5 + -6*(4*(sqrt(108) - ((sqrt(108) - (sqrt(108) - (sqrt(108) - (1 + sqrt(108)))))*-1)**2) - (6*(-1 + sqrt(108)) + -1))*-2.
-144*sqrt(3) + 41
Simplify (-3 + (sqrt(605) + 1)**2 + 5 - -4*-4*1*sqrt(20))*3 + -3.
-30*sqrt(5) + 1821
Simplify (((sqrt(105)*-2*6)/(2*sqrt(320) + sqrt(320)))/(-5*(sqrt(42)/sqrt(6) - sqrt(7) - sqrt(7)) - sqrt(28)*-2))**2.
1/108
Simplify (((sqrt(204) - (1*sqrt(204) - sqrt(204))*-6)/(sqrt(100)*2))/(((sqrt(3) - sqrt(3)*1) + sqrt(3))*-3 + 4*(sqrt(3) + sqrt(108) - sqrt(3))))**2.
17/44100
Simplify -2 + ((sqrt(39) + -1*sqrt(624) - sqrt(39))/((sqrt(3) - sqrt(1152)/sqrt(6)) + sqrt(3)))**2*-6.
-110/3
Simplify (1 + ((sqrt(720) + -1 - sqrt(720))*-1 + sqrt(720) - (-1 + sqrt(720) + -2))*1*2)**2.
81
Simplify -4 + (sqrt(180)/sqrt(90))/(sqrt(48)/(sqrt(8) - sqrt(32))) + (sqrt(24)/(sqrt(40)/sqrt(5)) - sqrt(24)/(sqrt(40)/sqrt(5))).
-4 - sqrt(3)/3
Simplify (sqrt(405)*2 + -3 + -2*sqrt(405)*5 + sqrt(405) + sqrt(405))**2*-6 + (3*sqrt(405)*1 + (sqrt(405) - sqrt(405)*2 - sqrt(405))*1 + sqrt(405))**2.
-85914 - 1944*sqrt(5)
Simplify (sqrt(336)/((sqrt(84)*5 + sqrt(84))/sqrt(7) - sqrt(12)))**2 + 4 + ((sqrt(28) + -5 + sqrt(28))*2 - ((sqrt(196)/sqrt(7) - sqrt(28)) + 1)).
-147/25 + 8*sqrt(7)
Simplify (2*(sqrt(700) + 3 + sqrt(700) + sqrt(700))**2 - sqrt(700)) + (sqrt(700) - 1*(sqrt(700) - (sqrt(700) - (sqrt(700) + -2)))) + 1*(-1 + 1*sqrt(700))**2*-6.
470*sqrt(7) + 8414
Simplify 1 + (sqrt(700) - (((-4 + sqrt(700))**2 - sqrt(700)) + 5)) + (5*(-2 + sqrt(7) + sqrt(7))**2 - (-3*sqrt(77) + sqrt(77))/sqrt(11)) + -2.
-562 + 62*sqrt(7)
Simplify (-2*(-1*(-1 + sqrt(500)) + -2 + 5 + sqrt(500) + 0 + sqrt(500) + -4) + 2)**2.
-80*sqrt(5) + 2004
Simplify (4*(-6*(1 + sqrt(1053)) + -3 + sqrt(1053)*1 - (-3 + (sqrt(1053) + (sqrt(1053)*2 - sqrt(1053) - sqrt(1053)) - sqrt(1053)) + 5))*-6)**2 + -2.
570240*sqrt(13) + 15232894
Simplify -2*-1*(sqrt(539) - (sqrt(539) + sqrt(539) + (-2*sqrt(539) + -5 - sqrt(539)))**2 - (sqrt(539) + ((sqrt(539) - (sqrt(539) + 1))*-3 + sqrt(539))**2))*6.
-13344 - 1344*sqrt(11)
Simplify -4 + sqrt(18)/(sqrt(6) + (sqrt(294) - sqrt(294)*2 - sqrt(294))) + -1 + -5*(-5 + (-3 + sqrt(3) + sqrt(48) + sqrt(3) - sqrt(3))**2) + 1.
-399 + 1949*sqrt(3)/13
Simplify ((2*sqrt(297) + sqrt(297))/(5*sqrt(44)/sqrt(4) + sqrt(11)))**2 + (0 + sqrt(75) + 0)**2 + (-3*(sqrt(75) + -1))**2 + -2.
-90*sqrt(3) + 3055/4
Simplify ((2*sqrt(6912))/(sqrt(64)/sqrt(2)))/((sqrt(1470)*2)/sqrt(10)*3).
2*sqrt(2)/7
Simplify -5*((-2*sqrt(468))/sqrt(9) + -3*sqrt(208)/sqrt(4))/((sqrt(576) + (sqrt(576) - (-1*sqrt(576) + sqrt(576)) - sqrt(576)))*2) + -2.
-2 + 25*sqrt(13)/24
Simplify 4*2*((((sqrt(1100) + 3 + 0 - sqrt(1100)) + sqrt(1100))*-6)**2 + 5).
17280*sqrt(11) + 319432
Simplify (sqrt(1664)*-2 + -2*sqrt(416))/((sqrt(2662) - 2*sqrt(2662))/(1*sqrt(704))).
192*sqrt(13)/11
Simplify (((0 + sqrt(112))*-2)**2 + sqrt(112) + -3*(sqrt(112) + -1))*3 - (-2*(5 + sqrt(35)/(sqrt(10)/sqrt(8))))**2.
-104*sqrt(7) + 1141
Simplify 6*-2*(sqrt(7) - (1*sqrt(112))**2) + 5*(sqrt(700) + 2)**2*3 + 2.
588*sqrt(7) + 11906
Simplify -5 + (-2*(0 + sqrt(2736)) - (5*(sqrt(2736)*-2 - sqrt(2736)) - sqrt(2736))**2) + -3 + 3 + -2.
-700423 - 24*sqrt(19)
Simplify (sqrt(3584) + sqrt(3584)*2 + sqrt(3584) - sqrt(616)/(sqrt(11) + sqrt(44)/sqrt(4)))/(-6*sqrt(48)/sqrt(6)*-6).
7*sqrt(7)/8
Simplify ((sqrt(75) - (sqrt(75) + sqrt(75) + -1*sqrt(75) + 3)) + (4*sqrt(75) - sqrt(75))*-4 + 4*(sqrt(75)*4 - sqrt(75)) + 1 + 2)**2.
0
Simplify 1*5*(4 + (-2*(-4*sqrt(1100) + sqrt(1100) + -1 + sqrt(1100)*1 + 5))**2).
-3200*sqrt(11) + 88340
Simplify (sqrt(100)/(sqrt(16)/sqrt(4)))/sqrt(320) - (sqrt(440)/(sqrt(99) + sqrt(11)))/(sqrt(24)/sqrt(27) + sqrt(8)).
-sqrt(5)/16
Simplify ((sqrt(350)/sqrt(160))/sqrt(5)*5)**2 + -6*(sqrt(567) + -1 - sqrt(7) - sqrt(35)/(sqrt(5) + sqrt(15)/sqrt(3))).
-45*sqrt(7) + 271/16
Simplify -5*(2*sqrt(171) + 4)**2 + (4*sqrt(95)*-1)/(sqrt(640)/sqrt(8) + sqrt(5)) + -3.
-3503 - 1204*sqrt(19)/5
Simplify (-2*-1*sqrt(70) - 2*(sqrt(70) - (sqrt(70) - 2*sqrt(70))))/(-3*(sqrt(1000) - -6*(sqrt(1000) - -2*sqrt(1000) - sqrt(1000)))).
sqrt(7)/195
Simplify (4*sqrt(252)/(sqrt(28)/(sqrt(4) + sqrt(8)/sqrt(2))))/((sqrt(132) + ((sqrt(132) - 2*sqrt(132) - sqrt(132)) + sqrt(132))*-6)/((sqrt(88)*1)/sqrt(8))).
8*sqrt(3)/7
Simplify ((sqrt(112) - (-2 + -1 + sqrt(112))) + 6*sqrt(112)*-3 - (-5 + (2 + ((sqrt(112) - sqrt(112)*1) + sqrt(112) - sqrt(112)))*-6))**2.
-2880*sqrt(7) + 36688
Simplify -6*4*5*(-5 + 3 + sqrt(39)/sqrt(3) + sqrt(117)/sqrt(324))*4.
-560*sqrt(13) + 960
Simplify (-3 + (1*(sqrt(2736)*-2 - sqrt(2736)))**2 - (1 + (-1 + sqrt(19) + 1)**2 + 1))*3.
73800
Simplify (((-1*sqrt(847) - sqrt(847))*-3 - (sqrt(847) + (sqrt(847) - sqrt(847)*1 - sqrt(847)) + -5)) + 0 + sqrt(56)/(-2*sqrt(1152)))**2*2.
7915*sqrt(7)/6 + 17555623/288
Simplify (1 + 2*(sqrt(5324) + 2 - sqrt(5324)) + -1 + (-2*sqrt(5324) + 1 - sqrt(5324)) + 3)**2.
-1056*sqrt(11) + 47980
Simplify (-4 + 4 + sqrt(153) + -1 + -1 - (sqrt(153) + 1 + sqrt(153) + -3 + -3 + (sqrt(153)*2 - sqrt(153) - sqrt(153))))**2.
-18*sqrt(17) + 162
Simplify 3*(sqrt(300) + 0 + (-2*sqrt(300))**2 - (-5*(-3 + sqrt(300))**2 + sqrt(300)))*-2*6 + -4.
-98824 + 10800*sqrt(3)
Simplify 3 + (((1*sqrt(102) + sqrt(102))*-4 + sqrt(102))/(3*1*sqrt(6)) - (0 + sqrt(187)/(-5*sqrt(33)/sqrt(3))))**2.
18083/225
Simplify (5 + 0 + 5*((sqrt(170)*2 - sqrt(170))*4 + sqrt(170) + sqrt(170))/(sqrt(160) - 2*sqrt(160)))*-3.
-15 + 45*sqrt(17)/2
Simplify (((1*sqrt(300)*-2 + sqrt(300))/(sqrt(96)*3))/(((-1*sqrt(90) - sqrt(90))*-5)/(sqrt(9) + sqrt(576))))**2.
9/320
Simplify ((sqrt(408) + (sqrt(408) - (-1*sqrt(408) - sqrt(408)))*-1)/(3*sqrt(12)*-1))/((sqrt(42)/(sqrt(3) + sqrt(27) + sqrt(3)))/((sqrt(70)*-2)/sqrt(10))).
-20*sqrt(17)/3
Simplify 3*(5*(sqrt(475) + (5*(sqrt(475) + -1))**2 + sqrt(475))*3 + 5 + -1) + -1.
-10800*sqrt(19) + 535511
Simplify ((sqrt(95) - (sqrt(95) - -4*sqrt(95)*1))/(sqrt(605)*2))**2 - -4*(-4 + sqrt(19) + -2 - (sqrt(19)*-1 - sqrt(19))*-6).
-44*sqrt(19) - 2828/121
Simplify (sqrt(72)/sqrt(3)*3 - sqrt(24)*-1*-2)/(-6*sqrt(16)/sqrt(2)*3*-2).
sqrt(3)/36
Simplify -1 + (sqrt(96) - 4*sqrt(96) - sqrt(96))/sqrt(12) - (-4 + sqrt(200) + -3)**2*-6.
-848*sqrt(2) + 1493
Simplify (-3*sqrt(132)*3 - -3*sqrt(132)*1)/((2*(sqrt(108) - (sqrt(108) + sqrt(108)*2)))/(sqrt(9) - (sqrt(108)/sqrt(3) - sqrt(36))))*-3.
-9*sqrt(11)/2
Simplify 2*(6*(sqrt(98) + 1) - (3 + 3*sqrt(72) + sqrt(2) + sqrt(2)))**2.
264 | {
"pile_set_name": "DM Mathematics"
} |
.
-3
Let n = 10 + -4. Suppose n*b = 2*b. Solve b = 2*o - 1 - 9 for o.
5
Suppose -4*p + 0 = -8. Solve -v = -p*v for v.
0
Suppose -10 = -m - 5*b, -3*b - 12 - 66 = -5*m. Solve 0*j + 3*j - m = 0 for j.
5
Let a(x) = x**2 + 4*x - 3. Let w be a(-5). Let z(r) = -r - 1. Let c be z(-4). Solve w*y + c = 13 for y.
5
Suppose a = 2*m - 2, -a - 3*a = 5*m - 44. Solve -2*j + a = -0*j for j.
3
Suppose -3*h + 21 = 6. Suppose -7*l + 9*l = 8. Suppose v - 15 = -h*d + 1, 0 = -4*v + l. Solve 0*q = d*q - 15 for q.
5
Let t = 15 - 7. Solve 12 = -4*i + t*i for i.
3
Let m be (-9)/(-4) + (-3)/12. Suppose 5*r - 2 - 8 = m*d, -2*r + 4*d - 12 = 0. Solve 4 = -r*g - 16 for g.
-5
Suppose -2*c = -5*n + n + 4, 0 = 4*c - n - 13. Solve c*t = 5*t + 4 for t.
-4
Let b(q) = -q**2 - 10*q - 7. Let c be b(-8). Let h be c/12 - (-26)/8. Solve h*g = 2*g + 8 for g.
4
Let m(b) = -b + 6. Let q be m(-6). Let p = q + -10. Solve -p - 8 = 2*r for r.
-5
Suppose 7*b - 4*b + 3*k = 12, 3*b - 10 = -2*k. Solve -3*r = b*r + 15 for r.
-3
Suppose -u = -3*c - 2, c - 5*u + 7 = -3. Let j be (-12)/(-30) + (-12)/5. Let q be 1*(-1 + (c - j)). Solve a + q = -0*a for a.
-1
Let u = 4 + -1. Suppose -9*w = 4*w - 39. Solve w*f = u + 6 for f.
3
Suppose 3 = -l + 3*s + 2, 3*l = -5*s + 39. Solve -k + 5*k = -l for k.
-2
Suppose -2*u + 15 + 3 = 0. Solve u = 4*j - 7 for j.
4
Let j = -31 + 43. Suppose 2*k - 3 - 27 = 0. Let p be 6/10 - (-21)/k. Solve 6*h - p*h = -j for h.
-3
Suppose -2*s = 4*z - 2*z + 10, 2*s + 3*z + 7 = 0. Let n(a) = a + 12. Let h be n(s). Solve f = -f - h for f.
-2
Let x be -1*(-2 - (12 + 0)). Let d(q) = -q**2 - 6*q - 1. Let l be d(-5). Solve -l*j - 6 = -x for j.
2
Suppose 5*u = 98 + 27. Suppose -g + u = 4*g. Solve l + g - 2 = 0 for l.
-3
Suppose x = 3*x - 6. Suppose -1 - x = -y. Solve -4*w - y = -24 for w.
5
Let t(q) = q**2 + 6*q - 7. Let d be t(-8). Suppose -z - 2*z + 5*x = -8, -4*z + d = -5*x. Solve 0*h = -h + z for h.
1
Let v be (-12)/66 + (-79)/(-11). Suppose v = 3*b - 17. Solve -4*n = -4 - b for n.
3
Let l(a) = 3*a**2 + 2 + 2 + 1 - 4*a - 6. Let m be l(3). Solve 0 = -3*w - 2 + m for w.
4
Let k be 9*3/(9/2). Suppose 2*x + 2*x = -3*y - k, 0 = 2*y - 4. Let s(h) = -2*h - 2. Let t be s(x). Solve -t = -3*n + 2 for n.
2
Suppose 16 = 2*n + 4*f, 3*f + 3 = -0*n + n. Suppose -48 = -2*k + n*k. Let m be (-2)/(-8) - 69/k. Solve m = -u + 5 for u.
-1
Let f(a) = a**3 - 8*a**2 + 8*a - 4. Let c(z) = 2*z**3 - z**2 - 2*z - 4. Let d be c(3). Suppose -t = 4*t - d. Let w be f(t). Solve 3*l + w = -3 for l.
-2
Let x = 6 + -8. Let t be 5*1*(-1 - x). Suppose 8 = t*i - 22. Solve 3 = 3*v - i*v for v.
-1
Suppose -5*z + u + 14 = 3*u, z = -u + 4. Solve -6 = -z*k - 2 for k.
2
Suppose -2*g = 2*q - 12, 5*g + 0 = 5*q + 70. Solve 4 - g = 2*s for s.
-3
Let h = 30 - 15. Suppose -2*v = 3*p + 3*v + 25, -p - v = 5. Solve 5*s = -p + h for s.
3
Let n be 4/1 + -2 + 1. Let d be (-39)/5 + (-2)/10. Let a be (-4)/1*4/d. Solve -s = a*s + n for s.
-1
Let o(g) = g**2 - 5*g - 65. Let w be o(-6). Solve 0 = x - w + 3 for x.
-2
Let k be (16/5)/(6/15). Suppose 3*g - 17 = -k. Suppose -g*m + 5*m = 0. Solve -2 + m = j for j.
-2
Suppose -4*f - 5*s + 57 = 0, 2*s - 6*s + 52 = 4*f. Solve -3*d = -f*d for d.
0
Let u = -1 - -4. Let v(p) = -p + 7. Let w be v(6). Suppose -u*m - 5*o - 12 = -w, -4*m + o = -16. Solve -2*c = m*c - 10 for c.
2
Let d(y) = 3*y + 3. Let l be d(7). Suppose 0*m - 3*m = -l. Suppose -2*j + m = -4*j, 10 = 3*n - j. Solve n*a + 4 = -6 for a.
-5
Let p(z) = -9*z - 35. Let s be p(-5). Solve 5*k = -0*k - s for k.
-2
Let p be ((-1)/2)/((-6)/48). Let m = -4 + 4. Solve m = -j + 3 - p for j.
-1
Suppose -o + 7 = 2. Suppose 0 = -o*c + 26 - 1. Solve 3 = -2*n + c for n.
1
Suppose -4*s + p + 18 = -s, 2*p = s - 1. Suppose 3*w - 2*y - 3*y - 12 = 0, 0 = w - 3*y - 4. Let c(a) = 4*a - 1. Let b be c(w). Solve s*z - 2*z = b for z.
3
Let s(i) = -i**2 + 3*i + 4. Let d be s(4). Solve d = -4*v - 0 - 8 for v.
-2
Let x(o) = -o**3 + 4*o**2 - o + 5. Let w be x(4). Let h = 29 + -3. Suppose 0 = 4*f - h - 2. Solve 0 = -4*n + w + f for n.
2
Let l(f) = 6*f**2 - 1. Let a(m) = m**3 - 6*m**2 - 6*m - 6. Let j be a(7). Let n be l(j). Suppose -6*s + 2*s = -20. Solve -s = 4*d - n*d for d.
5
Let a = -3 - -5. Solve a = 3*s - s for s.
1
Suppose 2 = 3*x - 3*p - 7, -3*x = 4*p - 2. Suppose 3*d = -2*d. Solve -2*z + 0*z - x = d for z.
-1
Let c(y) = -y**3 - 3*y**2 - 3*y - 4. Let u be -3*(3 + 8/(-4)). Let t be c(u). Solve 15 = 5*o + t for o.
2
Suppose q + 3*p = 4*p + 7, q - 12 = 2*p. Solve -4*g + q*g = -6 for g.
3
Suppose 0 = -c - 5*z + 35, 5*c - 199 = -0*c - z. Suppose -3*i - c = i. Let u = -8 - i. Solve -u*w + 3 - 13 = 0 for w.
-5
Suppose 2*o - 16 = 5*v, -4*o - v = -4*v - 4. Let c be 489/33 + o/(-11). Suppose -6*m = -m + 5*f - c, -3*m = 4*f - 10. Solve 3*g - g = m for g.
1
Let o(n) = -n**2 + 9*n - 4. Let v be o(8). Let m be (-15)/(-9) - (-2)/6. Solve m*a = v*a for a.
0
Let z(g) = -g**3 + 3*g**2 - 3*g + 3. Let r be z(2). Let y be r - 0 - (-15 - 0). Solve 0 = -2*f - 2*f + y for f.
4
Let a = -40 + 44. Solve a*g - 2*g = -4 for g.
-2
Let o(j) = 2*j - 14. Let f be o(9). Solve f*b = 5 + 3 for b.
2
Let o = 8 + -5. Suppose -o*w - w = 0. Let b = 3 + w. Solve -2 = s + b for s.
-5
Let q be 4/14 + (-52)/(-14). Let d be (-15)/(-10) + 2/q. Suppose d = 2*t - t. Solve t*n = n - 3 for n.
-3
Let o = 3 - 7. Suppose 52 = t + 4*s, -170 = 4*t - 9*t - 2*s. Let f be 5*(t/(-10))/o. Solve -f*b + 2 = -6*b for b.
-1
Let c = 15 - 10. Solve 0 = c*z - 1 + 21 for z.
-4
Suppose -3*d = -d + 20. Let r(g) = g**3 + 11*g**2 + 10*g + 2. Let i be r(d). Solve -3*y + y + i = 0 for y.
1
Suppose 2*a - a = -5*u + 21, 4*u = -a + 16. Suppose -u*f = -f - 32. Solve 0 = -4*x + 2*x - f for x.
-4
Suppose 0 = 3*n - 5*u + 13, -3*n + 2*n - 11 = -3*u. Let v be 48*(-2)/(24/(-9)). Let b = v - 21. Solve b = n*z + 3 for z.
3
Let n(m) = 2*m - 2. Let k(i) = -i**3 - 7*i**2 - 7*i - 9. Let h be k(-6). Let j be n(h). Let a = 13 + j. Solve 2*y = a + 1 for y.
3
Let l be 6/10 - 3/5. Solve 0 = -l*d + d + 5 for d.
-5
Let j be 1/2*14 - -1. Solve 3*c - j = 1 for c.
3
Suppose -g + 0*x - 1 = 2*x, -21 = -3*g + 2*x. Let k(n) = -n**3 + 5*n**2 - n + 5. Let i be k(g). Suppose u - 4*u = i. Solve 0 = -u*f - f for f.
0
Let l be 3*1/(-3)*-2. Suppose 1 = -l*n + 5. Solve -k - n*k = -12 for k.
4
Let v(s) = s**2 - s - 1. Let w be v(-2). Suppose -4*p + 23 = -3*o - 2, 5*p - 23 = o. Let f = p + 6. Solve w*h = 7*h - f for h.
5
Suppose -n + 2*w + 23 - 9 = 0, -4*n + 2*w + 26 = 0. Solve n*k = k for k.
0
Let c = -15 - -32. Let j = c + -17. Solve -2*f = -j + 4 for f.
-2
Suppose 2*b = 4*b. Let h = -2 + 7. Suppose -2*w = -0*z + z - 8, 0 = -h*w + z + 20. Solve -y - 7 + w = b for y.
-3
Let j(s) = -s**3 - 9*s**2 - 8*s - 11. Let t be j(-8). Let p = -16 - -11. Let q = p - t. Solve -q = 2*d - 2 for d.
-2
Let n = 14 + -8. Solve 5*u - 9 = n for u.
3
Let g(w) = -w**3 - 7*w**2 + 9*w + 11. Let l be g(-8). Let f = 22 + -12. Let b = f - l. Solve 5*n - 22 = -b for n.
3
Suppose 3*n - 2 - 4 = -k, -4*k = -4*n - 24. Solve 4 + k = 2*a for a.
5
Let f be ((-2)/(-8))/((-6)/(-72)). Solve -f*z + 7*z + 16 = 0 for z.
-4
Let s be (1/(-3))/((-1)/6). Let f be (-1)/s + 42/(-4). Let z be -2 + (0 - f - 2). Solve -3*y + z*y = -12 for y.
-3
Let k = 23 - 20. Solve -12 = -6*f + k*f for f.
4
Suppose -n - 5 = m, m + 2 + 9 = n. Let s be m/(-12) - 4/6. Solve s*g - 8 = -2*g for g.
4
Let l(f) = -f**3 + 4*f**2 - 3*f + 2. Let o = 7 - 4. Let i be l(o). Solve r + 15 = -i*r for r.
-5
Let q be (5 - 4)/(1/3). Let g be ((0/(-2))/q)/(-2). Solve g = -3*h - 8 - 1 for h.
-3
Let d(o) = -o**2 + 4*o + 6. Let z be d(7). Let b = z + 18. Solve y + b = 4 for y.
1
Let i = 0 + 0. Let c(p) = p**2 + 3*p + 4. Let x be c(0). Solve -2*g - x - 4 = i for g.
-4
Let z = 8 - 6. Suppose -5*a - z*b = -8, -3*a + 4*b = -2*a - 6. Solve 0 = -7*q + a*q for q.
0
Suppose 0*q - 2*q + 8 = 0. Let r(p) = -4*p - 93. Let b be r(-24). Solve -h + b*h - q = 0 for h.
2
Let b = 46 + -46. Solve -3*t = -b*t - 15 for t.
5
Let d = 13 - 11. Solve g = -d - 2 for g.
-4
Suppose 0 = -3*p - 2*p. Let m be p - ((-1)/(-1) + -1). Solve m = -w + 2*w for w.
0
Let c(r) = 2*r - 11. Let s be c(9). Let d = -3 + s. Suppose -d*f = -2*i - i - 27, 0 = 4*f + 3*i + 3. Solve o - 12 = -f*o for o.
3
Let i(u) = -u - 8. Let l = -26 - -16. Let x be i(l). Solve -5*t - 3 - x = 0 for t.
-1
Suppose -4*h + 12 = 5*b + 4, -2* | {
"pile_set_name": "DM Mathematics"
} |
ve -354 + n = 45*x for x.
-5
Suppose 0 = -4*p - 2*i - 72, 0*p - 3*p - 2*i = 52. Let q = 20 + p. Suppose 21*s - 5 = 16*s. Solve j - s = -q*j for j.
1
Let k be (-24436)/(-447)*9/4. Solve -12*z - k = -27 for z.
-8
Suppose 0 = 2*z - 3*z + 5. Suppose -z + 19 = 3*v - 2*c, 4*v - 3*c - 20 = 0. Let k = -651 + 651. Solve 0 = -k*b + v*b for b.
0
Suppose s - 7 = -2. Suppose -56 = 7*v - 35*v. Suppose -10*q = 13*q - 69. Solve -s*j - q = v for j.
-1
Suppose 8 = -0*s + 2*s. Let n be 0*s/((-12)/(-3)). Suppose -9*w + 16 = -5*w. Solve -w*o + n*o = 12 for o.
-3
Suppose 3*k = -8*w + 9*w + 22, 3*w = 15. Suppose k*h - 96 = 5*h. Solve -g = -7*g + h for g.
4
Suppose 60 = -4*g - 5*m, 0*m = -g - 5*m. Let y be ((-6)/6)/((-76)/g - 4). Solve 3*n + y = 20 for n.
5
Let k(i) = i**2 - 5*i + 12. Let j be k(3). Let r be (-392)/(-24) - (3 - 16/j). Solve 98*q = 102*q + r for q.
-4
Let c(b) be the third derivative of b**6/120 - 7*b**5/30 - 13*b**4/24 - 25*b**3/6 - b**2 + 3*b. Let g be c(15). Solve g*f + 0 = -5 for f.
-1
Let q(a) = -80*a + 130. Let v be q(2). Let u = -24 - v. Solve -u*t - 15 = -3*t for t.
-5
Let z = -874 + 877. Solve -t = 2*t - z for t.
1
Let n be 1/((-35)/(-56))*5/2 + 39. Solve 26*u + 87 = -n for u.
-5
Let k(y) be the third derivative of y**6/120 - y**5/20 - y**4/8 + y**3 - 11*y**2. Let a(p) = p - 1. Let n be a(5). Let x be k(n). Solve -4*j - x = -2*j for j.
-5
Suppose -30 = -140*i + 135*i. Let c be -129*10/(-105) + i/(-21). Suppose -4*v + c = -2*v. Solve -3*p = -v - 3 for p.
3
Let r be (4 + (-110)/25)/(3 + 535/(-175)). Solve -r - 41 = -12*a for a.
4
Let q(m) = -37*m + 1058. Let t be q(26). Solve 121*l - 125 = t*l for l.
5
Let t(a) be the first derivative of -a**4/4 + 2*a**3 - 5*a**2/2 + 9*a - 99. Let k be t(5). Solve 17*h + k = 14*h for h.
-3
Suppose 3*b - 16 = -2*c, c - 24 = -c - 5*b. Suppose 4*u + 12 = r, 4*r + c*u - 8 = r. Let z be (20/(-8) - -3)*r. Solve -4 = 2*j + z for j.
-3
Let x(a) = -3*a - 27. Suppose -3*m = c + 28, -2*c - 3*c - 30 = 5*m. Let d be x(m). Solve -2*j = d + 2 for j.
-4
Let q(d) = 32*d**2 - 52*d + 55. Let w be q(1). Solve -2*p = 5*p + w for p.
-5
Let z be 1/(0 + 2)*(-2 - -16). Suppose -2*p + 2*h - 12 = -10, 2*h - z = -3*p. Solve 2*s = 3*s - p for s.
1
Let k be 10 + 27 + 9 - ((3 - 4) + -3). Solve k*w - 42*w - 32 = 0 for w.
4
Suppose 4*l + 44 = 4*i, -3*l - 8 - 57 = -5*i. Suppose -r - 5*z = -5, -5*z + z = 2*r - 10. Suppose d = 5*n - 2*n - 24, 3*d - 9 = 0. Solve r*m = -n - i for m.
-5
Suppose 8 = -4*a, -4*f + 30 = -f - 3*a. Suppose f = -2*g + 8. Solve g*z + 16 = 4*z for z.
4
Let a(o) = o**3 + 35*o**2 - 86*o - 4048. Let z be a(-34). Solve -169*r - z = -165*r for r.
-8
Let k = -33318 + 33404. Solve 0 = 29*n - k*n - 456 for n.
-8
Suppose b - 2*v = -b + 20, 0 = -3*b + v + 38. Suppose b = 8*k - 2. Solve 3 = -k*l - 3 for l.
-3
Suppose 10*t = -8*t. Suppose 9*y - 22 - 68 = t. Solve 0*u - y = 5*u for u.
-2
Let s = 6043 - 6040. Solve 199 = -s*p + 181 for p.
-6
Suppose -5*o - 4*c + 169 - 45 = 0, 2*c + 148 = 5*o. Let v be 6/(-21) - (-148)/o. Suppose -5*z = i - 9 - 0, -v*i + 3 = 4*z. Solve t - z = -7 for t.
-5
Let o(q) = -q**3 - 8*q**2 - 7*q + 14. Let a be o(-7). Let d = 28 - a. Suppose -b + 1 = -d. Solve -b = -r + 6*r for r.
-3
Suppose -s = -5*w + 22, 3*s - w = 23 - 19. Suppose s = -42*a + 3. Solve -p + 1 = -a*p for p.
1
Suppose 0 = 21632*t - 21689*t. Solve t = -96*p + 82*p for p.
0
Suppose -252 = -242534*c + 242520*c. Let m(g) = g**3 - 2*g**2 + g + 1. Let r be m(2). Suppose r*n = -n + 20. Solve 0 = n*j - c + 8 for j.
2
Let s = -8902 + 8930. Solve s = -63*h + 56*h for h.
-4
Let m(o) = o**2 + 11*o - 12. Let b be m(-13). Suppose b*w = 18 + 10. Solve 3*n - w = -14 for n.
-4
Suppose 62*s + 32 = 280. Solve 2 = s*p - 2 for p.
1
Let g be 9/(315/(-812)) - (-8)/(-10). Let t(z) = z**3 + 2*z**2 - 8*z - 4. Let x be t(-5). Let b = g - x. Solve -6*r + b = -r for r.
3
Let z = -20934 - -20950. Solve 0 = 12*j - 4*j + z for j.
-2
Suppose -4*c + 22 = 2. Suppose 0 = -p + 4, -c*p + 12 = -4*q - 2*p. Solve q*u - 45 = -9*u for u.
5
Let t(i) = 2*i**2 + 18*i - 58. Let z be t(9). Let b = z + -262. Solve -n - b*n + 15 = 0 for n.
3
Suppose 0*x = -c - 2*x + 169, -2*x - 173 = -c. Let p = -27 + c. Let h be 3/(-2) + 1 - p/(-32). Solve 0 = z + 3*z + h for z.
-1
Let c be 0/(-2) - (15 - 17). Solve -c = -a - a for a.
1
Let x be (24 + -1 - -2) + 0. Let f(p) = 60*p**2 - 3127*p + 374. Let q be f(52). Solve -q*h = -5*h + x for h.
-5
Suppose 7*v + 143 + 627 = 0. Let m = -31 - v. Let i = -77 + m. Solve i*y = -y - 15 for y.
-5
Suppose 4*c = 4*f - 40, 3*f + 5*c = 4*f - 2. Suppose 30 = g - 2*b + 6*b, f = g - 2*b. Solve 7*j + g = 16*j for j.
2
Let l(s) = -62*s**2 + 4*s + 3. Let r(d) = 123*d**2 - 8*d - 6. Let q(m) = -7*l(m) - 3*r(m). Let p be q(-1). Let g = p + -60. Solve -2*n + 0*n = g for n.
-3
Let y = 735 - 730. Suppose -q - y*b + 19 = 0, 4*q - 26 = -b + 88. Solve n + q = 28 for n.
-1
Let s(x) = 4*x**2 + 15*x + 2. Let k be s(-4). Suppose -k*m = -4*m - 20. Let o(c) = c**3 - 11*c**2 + 9*c + 12. Let n be o(m). Solve n = -2*f + 4*f for f.
1
Suppose 17 - 20 = -u. Suppose u*i - 7 = 2. Suppose 0 = -4*k - 2*p + 82, -k + i*p = 3*k - 97. Solve 3*n = 10 - k for n.
-4
Suppose -267 - 375 = -6*h. Let m = h + -105. Solve v + m*v = 6 for v.
2
Suppose 0 = -3*a + 2 - 515. Let i = a - -256. Suppose -12*o = -i + 25. Solve -o*l - 18 - 2 = 0 for l.
-4
Suppose -11*f + 6*f - 1800 = 0. Let l be 3/(-2) - f/16. Let m = 23 - l. Solve -4*a = -m*a for a.
0
Suppose 0 = 2*u - 5*m + 6 - 43, -u + 4*m = -20. Suppose -5*t - 2*f = 3*f - 40, 3*t = 5*f - u. Let v be -1 - ((-6)/t + -3). Solve v = 4*o + 16 for o.
-3
Let m be 31/(-3 + 7 + -5). Let p(w) = -3*w - 88. Let n be p(m). Solve -2*f + n - 1 = 0 for f.
2
Let o = 8 - 5. Let f = o + 1. Suppose -36 = -d - 4*d - 96, 3*q + 6*d = 2*d. Solve q = f*c - 0 for c.
4
Suppose 32*w + 310 = 42*w. Solve -w = 2*y - 27 for y.
-2
Suppose y - 11*a - 96 = -7*a, -3*y - a = -249. Suppose -5*b = -11*b - y. Let q be 16/14*(b/4 + 7). Solve q*t + 4 = 2*t for t.
-2
Suppose 4*n - 15 = 1. Suppose n*b + 14 = 5*w, 3 = -3*b - 0. Solve 0 = -2*c + 6 + w for c.
4
Suppose -2*x = 21*i - 17*i - 40, -2*i - 30 = -4*x. Solve d - x*d = -10*d for d.
0
Let d(x) = 66*x**3 - 8*x**2 + 11*x - 2. Let k be d(1). Solve -k = 11*o - 122 for o.
5
Let y = 4769 + -4769. Solve -10*p - 4 + 24 = y for p.
2
Suppose 0*z + 16 = 4*z. Let h = -529 + 534. Let w be (-1 + 11)*5/h. Solve 0 = -r - z*r - w for r.
-2
Suppose 4*q = -4*f + 12, -22 = -5*q - 4*f - 7. Let s = -170431 - -170436. Solve q = -s*n - 2 for n.
-1
Let m = 349 + -177. Let z(x) = -m + 0*x + 12*x + x**3 + 185 - 14*x**2. Let v be z(13). Solve v = -3*c - 6 - 3 for c.
-3
Let c be ((-3)/(-6) - -2)/((-95)/(-2090)). Solve c*t - 79*t - 120 = 0 for t.
-5
Let h(x) = -5*x**2 + 32*x - 159. Let t be h(6). Let q = t + 149. Solve 0 = -o + q*o - 6*o for o.
0
Let s(y) = 2*y**2 + y - 4. Let a be s(-2). Let m(x) = x**2 - x - 10. Let l be m(-3). Suppose -5*w + 5*g + 18 = -2, -4*w - 2*g = l. Solve -w = c - a for c.
1
Suppose d + 3*s = -0*d + 34, 5*s + 46 = 2*d. Let b(a) = a**2 - 27*a - 20. Let v be b(d). Solve -8 = -4*k + v*k for k.
-2
Let f = 10 - 7. Let a(t) = -12*t**2 - 9*t. Let s be a(-2). Let o(y) = -y**3 - 32*y**2 - 59*y + 34. Let i be o(s). Solve -i = -f*g - 19 for g.
-5
Let f(a) = 4*a**2 - 2*a + 8. Let r(n) be the first derivative of 5*n**3/3 - n**2 + 9*n - 3. Let x(s) = 3*f(s) - 2*r(s). Let z be x(0). Solve g - z = -g for g.
3
Suppose 171 = -5*i + 711. Suppose i + 27 = 3*m. Let d = m - 39. Solve -3*n = -0*n + d for n.
-2
Let z be 1/2 + 1204/56. Suppose -3*f = f - 80. Let g = z - f. Solve -g*c = c - 15 for c.
5
Suppose 14*r - 345 = -z + 12*r, 0 = z - 5*r - 331. Solve 347 = -2*p + z for p.
-3
Let n be 1158/78 - 6 - (-2)/13. Let t(g) = g**3 - 7*g**2 - 15*g - 9. Let q be t(n). Let p be (-22)/(-4) + 1 - q/(-12). Solve i + p - 3 = 0 for i.
-5
Let f(c) = -556*c + 6680. Let d be f(12). Solve -1323 + 1307 = -d*n for n.
2
Let s be (-4)/3 - 11424/72. Let i = -157 - s. Solve 3*w = i - 0 for w.
1
Suppose 100 = 5*u - 3*g, 3*g + 32 = -0*u + u. Suppose u*h + 64 = 25*h. Solve -h*y + 2*y = 30 for y.
-5
Let h(x) = -2 + 6*x - 1 - 16*x + x. Let m be h(-1). Solve -5*c + m = -19 for c.
5
Let w(d) = -d**3 - 36*d**2 - 70*d + 80. Let k be w(-34). Suppose 0 = -6*q - 124 + k. Solve -6*r = -28 + q for r.
4
Let s(g) = g**3 + | {
"pile_set_name": "DM Mathematics"
} |
*n/n**(-5/4))/(n*n/(n/n**(2/17)*n)*n*n))**(2/31) assuming n is positive.
n**(77/1054)
Simplify ((d**2)**(-10))**30 assuming d is positive.
d**(-600)
Simplify (g/(g*g/(((g/(g**(-1/3)/g))/g)/g)))**29 assuming g is positive.
g**(-58/3)
Simplify ((((l/l**(-2/13))/l)/l)/((l*l**2/l)/l))/((l/(((l**(-1)/l)/l)/l))/(l*l/l**5)) assuming l is positive.
l**(-128/13)
Simplify (k/((k*k**14*k)/k*k))**(2/7) assuming k is positive.
k**(-30/7)
Simplify j*j*j**(-3/4)*j**(-17) assuming j is positive.
j**(-63/4)
Simplify (k/(k/(k/k**2))*k**(1/2))**27 assuming k is positive.
k**(-27/2)
Simplify ((a*a/(a*a*a/(a/(a/(a**(-3/22)*a))*a)))/a*a)/((a*((a/(a*a**12*a))/a)/a*a*a)/a) assuming a is positive.
a**(305/22)
Simplify (u**(-1/3)/(u/(u/u**(-2/7))*u))**(-24) assuming u is positive.
u**(176/7)
Simplify (o**(2/5)*o*o)**(4/11)*(o/((o*o*o/((o*o**(1/3))/o)*o*o)/o))/((o/(o**1/o))/o) assuming o is positive.
o**(-296/165)
Simplify n**(-7)/(n/(n/((n/(n/(n**(-1/4)*n)))/n)*n))*(n**1/n)**(-1/28) assuming n is positive.
n**(-23/4)
Simplify (k**(2/21)/k*k*k*(k/k**2)/k*k)/(k*k/(k**2/k)*k*k*k)**(40/3) assuming k is positive.
k**(-1118/21)
Simplify y*y**4*y*y*y**(-15) assuming y is positive.
y**(-8)
Simplify (o/(o*o/(o**(-1/3)*o*o)*o*o)*o)**(2/95)*(o/(o**(-1/3)*o)*o)/(o**(2/3)/o) assuming o is positive.
o**(473/285)
Simplify k/(k/k**12)*k**(-11/3) assuming k is positive.
k**(25/3)
Simplify (g/g**11)**(4/9) assuming g is positive.
g**(-40/9)
Simplify (((t**(-1/2)*t)/t)/(t**(-5/4)/t))/(t**(2/15)*t/(t/t**(-2/11))) assuming t is positive.
t**(1187/660)
Simplify c*c/(c**(-11/2)*c)*c*c*c/c**(-12) assuming c is positive.
c**(43/2)
Simplify (n**2*n)**(-2/19)*(n**(-3/5))**44 assuming n is positive.
n**(-2538/95)
Simplify (u/(u*u*u**(-31)))/u**(-3/19) assuming u is positive.
u**(573/19)
Simplify d**(2/19)*d*d/(d/(d*(d*d/(d**7*d))/d*d))*d**6*d**(2/7) assuming d is positive.
d**(318/133)
Simplify x**48/x*x*x**(-29)*x assuming x is positive.
x**20
Simplify f**(-15)*f*f*f*f**12*f*f assuming f is positive.
f**2
Simplify ((x**(1/4)*x)/x*x**3)/(x/(x*x*(x/x**(-2))/x)*x**7) assuming x is positive.
x**(-3/4)
Simplify d**6/(d*d*d**5)*d**(-6)*d**4*d assuming d is positive.
d**(-2)
Simplify f*(f*f**(-14))/f*f**(-27) assuming f is positive.
f**(-40)
Simplify (g*g*g**(-8)*g*g*g**8)/(g**1)**(-26/5) assuming g is positive.
g**(46/5)
Simplify ((j*j/j**(3/2))/((j/((((j*j/(j*j**(-2/11)))/j)/j)/j))/j*j))/(j*j**2*j)**(1/12) assuming j is positive.
j**(-175/66)
Simplify ((r/((r/((r**(-3)*r)/r))/r))/(r**(2/3)/r*r))**37 assuming r is positive.
r**(-296/3)
Simplify (q/(q**5/q))/(q/((q*q*q**(7/6)*q*q)/q)) assuming q is positive.
q**(1/6)
Simplify z**(-1)*z**(-20) assuming z is positive.
z**(-21)
Simplify (z**2/(z**5*z))/(z/(z**(4/7)*z)*z**(-1/9)*z) assuming z is positive.
z**(-272/63)
Simplify (d**(-4/3)/d*d/(d/d**8))**48 assuming d is positive.
d**272
Simplify ((x*x/(x**(1/3)/x)*x)/x*x)**(-13/7)*(x*x**(-1/2))**(-13) assuming x is positive.
x**(-559/42)
Simplify (((l**(8/7)*l)/l)/l**(5/3))/((l/l**2)/l)**(-9) assuming l is positive.
l**(-389/21)
Simplify (c**(2/7))**11*c**(-2/3)/(c*c**(1/9)) assuming c is positive.
c**(86/63)
Simplify g/g**(-2/13)*g**(-2/19)*(g**(-1/2))**(-12) assuming g is positive.
g**(1741/247)
Simplify ((o*o*o*o*(o*(o/(o*o**0*o))/o)/o*o)/o**(-9))/(o/(((o/(o/((((o/((o*o**(-1/2))/o))/o)/o)/o)))/o)/o)*o**(3/8)/o) assuming o is positive.
o**(65/8)
Simplify i**(-21)/((((i/i**20)/i)/i)/i) assuming i is positive.
i
Simplify ((y*((y**1*y)/y)/y*y)**(-29))**(2/51) assuming y is positive.
y**(-116/51)
Simplify (p/p**(-2)*p)**43*p/((p/(p*p*p/p**(1/5))*p)/p)*p*p**(-1/13) assuming p is positive.
p**(11422/65)
Simplify a**(-13)/(a**(-6)*a) assuming a is positive.
a**(-8)
Simplify (v**(-4/5)/(v/v**5*v))**41 assuming v is positive.
v**(451/5)
Simplify h/(h*h**(-1))*h**(6/11) assuming h is positive.
h**(17/11)
Simplify (j*j/(j**0/j*j))/j**(-5/7) assuming j is positive.
j**(19/7)
Simplify d**(1/3)/((d*d**(-5/3)/d)/d*d*d)*d**(-3)*d*d/(d/((d*d**1/d*d)/d)) assuming d is positive.
1
Simplify s/(s*(s*s*s*s/(s*(s*s*s*s**(-6/7)*s*s*s*s*s)/s*s)*s)/s)*s*s**6*s assuming s is positive.
s**(85/7)
Simplify i/i**7*i*i*i/(i**(2/17)/i)*i assuming i is positive.
i**(-19/17)
Simplify (r/(r/(r*r**7/r*r)))**(-2/3) assuming r is positive.
r**(-16/3)
Simplify (l**(-1))**35*(((l/(l/l**(1/3)*l))/l)/l)**(9/10) assuming l is positive.
l**(-187/5)
Simplify (o/(o*((o/o**0)/o)/o))**(-38) assuming o is positive.
o**(-38)
Simplify (f*f**(-1/2))**(4/11)*((f/f**(-7))/f*f)/(f**(-2/9)/f) assuming f is positive.
f**(931/99)
Simplify ((d**4)**(-6/11))**42 assuming d is positive.
d**(-1008/11)
Simplify ((k/(k/k**(-9)))/k*k*k**(2/5))**(-5/13) assuming k is positive.
k**(43/13)
Simplify (((m/(m**(-5)/m))/m)**(-27))**(-3/19) assuming m is positive.
m**(486/19)
Simplify ((f**(-3/7)/f)/f**(6/7))**(1/2) assuming f is positive.
f**(-8/7)
Simplify (c**3)**27 assuming c is positive.
c**81
Simplify (j**10/(j*j/(j*j**7*j)*j))**(-23/2) assuming j is positive.
j**(-184)
Simplify ((y/(((y/(y/y**(7/2)))/y)/y)*y*y)/(y/y**(-1/4)))/((y*y**(-7)*y)/y*(y/(y*y**(-1/2)*y))/y) assuming y is positive.
y**(31/4)
Simplify m**(-5)/(((m*m/(m/(m*m*m**(2/55)/m)))/m)/m) assuming m is positive.
m**(-277/55)
Simplify ((g**4*g)/(g/(g**(-1/12)*g)))**(2/37) assuming g is positive.
g**(59/222)
Simplify ((l**(-2))**25)**(-22) assuming l is positive.
l**1100
Simplify ((((k**(-2)*k)/k)/k)/k)**(6/5)/((k*k**(1/3))/k*k/k**1*k) assuming k is positive.
k**(-92/15)
Simplify f**(-1)*f*f/(f/(f**(-7/3)/f))*f*f assuming f is positive.
f**(-4/3)
Simplify (a/(a*a**(-4))*a/(a*a**(-1/7)/a*a)*a)/(a*a*a*a**0)**(-2/67) assuming a is positive.
a**(2454/469)
Simplify ((q/q**(1/18))/q)/(q/(q/(q**21/q*q*q*q))) assuming q is positive.
q**(-415/18)
Simplify (f*f/f**1*f**(2/11))/((f**(-6/5)/f)/(f/(f/(f/(f*f**(-10)*f))))) assuming f is positive.
f**(681/55)
Simplify (l**1/l)**(-5/7)/((l/(l/(l**(-3/2)*l))*l)/(l*l*l*l*l**(-6))) assuming l is positive.
l**(-5/2)
Simplify (a/(a**(-4/13)/a))**(2/39) assuming a is positive.
a**(20/169)
Simplify (h*(h**(-4/13)/h)/h*h*((h*h**(1/5)/h)/h)/h)**(3/7) assuming h is positive.
h**(-411/455)
Simplify z*z*z/z**(1/13)*z**(-2/11) assuming z is positive.
z**(392/143)
Simplify a*a**(2/21)*a*a*(a**(6/11)/a)/a assuming a is positive.
a**(379/231)
Simplify w/w**(1/10)*w*w/w**5*w*(w/(((w**6/w*w)/w)/w))/(w*w/(w*w*w*w**(6/7))) assuming w is positive.
w**(-157/70)
Simplify (u**(-21)*u/(u*u**(-3)))**(14/11) assuming u is positive.
u**(-252/11)
Simplify m**(-1/23)*m**(3/31) assuming m is positive.
m**(38/713)
Simplify (o/o**(2/9))**(11/5) assuming o is positive.
o**(77/45)
Simplify (d**(9/2))**(2/31) assuming d is positive.
d**(9/31)
Simplify (c**(1/10)*((((c*c*c**(-1)*c)/c)/c)/c)/c)/(((c/c**(4/3))/c)/c*c*c/(c**7/c)*c) assuming c is positive.
c**(103/30)
Simplify ((r/((r/(r/((r*(r**(3/2)*r)/r)/r)))/r))/r**(-10))/(r*(r/((r**(5/2)*r)/r))/r*r/(r/r**(-6/11))) assuming r is positive.
r**(138/11)
Simplify (y*y*(y/(y*(y*y*y**(-2/5))/y))/y)/((y*y*y**6)/y) assuming y is positive.
y**(-33/5)
Simplify (v/(v*v*v**24*v*v))**(8/7) assuming v is positive.
v**(-216/7)
Simplify (s/s**(-2/3)*s)**24*s**3/s**(2/9) assuming s is positive.
s**(601/9)
Simplify ((l*l**(-12/7)*l*l*l*l)/l)/l**(-20) assuming l is positive.
l**(156/7)
Simplify (((c*c**(-1)*c*c)/c*c)**(-3/4))**(11/3) assuming c is positive.
c**(-11/2)
Simplify (d**8*d)/d*d**(-1) assuming d is positive.
d**7
Simplify (j**(-5))**7 assuming j is positive.
j**(-35)
Simplify (x/(x*x/(x/(x/x**(1/4)*x))))**4 assuming x is positive.
x**(-7)
Simplify l**(-5)*l*l**11 assuming l is positive.
l**7
Simplify ((b/(b*b**(-18)))/b*b)**30 assuming b is positive.
b**540
Simplify (r**2)**(-22/7)*(r**5*r)/r*r*r*r**(-2) assuming r is positive.
r**(-9/7)
Simplify (b*b/b**(1/3))**22/(((b/((b/b**(-2/3))/b))/b)/b)**35 assuming b is positive.
b**95
Simplify u**(-3/10)*(u*u**4)/u*((u*u**(2/21)*u*u*u)/u)/u**(-4) assuming u is positive.
u**(2267/210)
Simplify ((a/a**(-5))/a**(-1/6))/(a*a**(-1)*a)**(2/9) assuming a is positive.
a**(107/18)
Simplify (m*m**(-13/6))/(m**(-1/2)/m) assuming m is positive.
m**(1/3)
Simplify ((f**(1/3))**(2/77))**(-2/9) assuming f is positive.
f**(-4/2079)
Simplify n**16*n**10 assuming n is positive.
n**26
Simplify (c**(-2/31)*c)**(-1) assuming c is positive.
c**( | {
"pile_set_name": "DM Mathematics"
} |
uppose 125*f - 477179 - 252502 = 756819. What is the tens digit of f?
9
Let p = 334 - 324. What is the units digit of (2 - (-6 - -313))/((-5)/p)?
0
Let z(i) = 46*i - 12. Suppose -6*k = -8*k - 4. Let l be k*2/6*3*-2. What is the tens digit of z(l)?
7
Let t(f) = 116*f + 64. Let x be t(5). Suppose 21*a - 14371 = x. What is the tens digit of a?
1
Suppose 7*p - 3*p = 104. Let r be 21 - (-2 + 4 + 2). Suppose -o + r = -p. What is the tens digit of o?
4
Let h = 20 - 25. Let v(t) = -t**3 - 3*t**2 - t - 4. Let f be v(h). Let a = 130 - f. What is the units digit of a?
9
Let f(t) = t**3 - 4*t**2 - 17*t + 5. Let a be f(6). Let k(c) = -35*c - 72. What is the hundreds digit of k(a)?
8
Let m = 6763 + -2263. Suppose 8*z = 12*z - m. What is the thousands digit of z?
1
Let h(x) = x**3 + 60*x**2 + 130*x + 230. What is the units digit of h(-48)?
8
Suppose -y - 2*h = -3769 - 972, 3*y + h = 14218. What is the units digit of y?
9
Suppose -346923 = -567*f + 540*f. What is the units digit of f?
9
Let z = -14792 + 29274. What is the ten thousands digit of z?
1
Let y = -194 - -196. Suppose 3*g - 269 = 5*s - 1382, 5*s - 1112 = y*g. What is the tens digit of s?
2
Suppose 16*a - 22493 = -5085. Suppose 3*d = -p + a, -2*d - 14 = -12. What is the tens digit of p?
9
Let r(u) = 5*u**2 - 3*u - 14. Let l be r(6). Suppose -2*p + 0*p = -l. Suppose -p = -c - 21. What is the units digit of c?
3
Let h(u) = -2*u + 580. Let p be (-4 - (-8)/1 - 4)/3. What is the hundreds digit of h(p)?
5
Let i(v) = -2*v - 2. Let r be i(-2). Let n(p) = p**2 + 2*p - 3. Let q be n(r). Suppose -b + 28 = -q. What is the units digit of b?
3
Suppose 4*q - 3*s - s - 5024 = 0, -3*s - 7548 = -6*q. What is the hundreds digit of q?
2
Suppose -16475 = -o - 3*r, 5*o + 2*r - 80555 - 1807 = 0. What is the thousands digit of o?
6
Let w = -47841 + 74623. What is the thousands digit of w?
6
Suppose -3*v = -4*v. Suppose 3*h = c + 26, v*h + 5*h = 2*c + 52. What is the tens digit of (-4)/c + (3 - (-11328)/52)?
2
Suppose -1142 = -4*a + 4*l - l, l = -a + 289. Suppose -465 = -2*n + a. What is the tens digit of n?
7
Let a = -16 + 2. Let k be 5*5 + (29 - 31). What is the tens digit of a/1*(k + -24)?
1
Let a(t) = -16*t + 1. Suppose 7*l - 13 - 1 = 0. Let n be -6 + 6/l + (-22)/2. What is the tens digit of a(n)?
2
Suppose 328*f - 9906587 = 4884245. What is the units digit of f?
4
Suppose 2*t = 8, 4*t + 216 = -3*o + 20485. What is the tens digit of o?
5
Let v = -8 + 6. Let p(b) = -96*b**3 - 5*b - 7. What is the units digit of p(v)?
1
Suppose -3*x + 25 = 3*n + 2*n, 2*x = -10. Suppose -10*f + 6*f = n. What is the units digit of f - (4 - 7) - -285?
6
Let d(r) = -2*r**3 + 12*r**2 - 2*r + 17. Let h be d(6). Suppose -h*z + 5*q + 2462 = -633, 5*z + 5*q - 3055 = 0. What is the units digit of z?
5
Suppose -3*m + 5*j = -115264, 0 = -4*j - 0*j + 4. What is the thousands digit of m?
8
Suppose 0 = 3*m + g - 459 - 1538, 2*g + 2646 = 4*m. Suppose -2 = -3*u + 1, 0 = -4*t + 4*u + m. What is the tens digit of t?
6
Suppose -2*d = -7*d - 1250. Let x = d + 363. Let k = -57 + x. What is the tens digit of k?
5
Suppose -44*s = -50*s - 18. Let o(v) = -12*v**3 - 2*v**2 - 4*v - 12. What is the hundreds digit of o(s)?
3
Let c be 6/(2 - 0) - -213. Suppose 189*h + c = 190*h. What is the hundreds digit of h?
2
Suppose -3*p - 24982 = -4*a, -27*a + 26*a - 3*p = -6238. What is the thousands digit of a?
6
Let l = -5402 + 8183. What is the thousands digit of l?
2
Let o(h) = 70*h - 144*h + 71*h + 34. What is the units digit of o(-5)?
9
Let v = 9974 + -6350. What is the units digit of v?
4
Let c(w) = -7*w**3 - 7*w**2 + 15*w - 19. Let a(j) = 6*j**3 + 8*j**2 - 14*j + 18. Let r(p) = -4*a(p) - 3*c(p). What is the units digit of r(-7)?
8
Suppose -3*d - 37353 = -3*f, -5*f + 38175 + 24050 = d. What is the ten thousands digit of f?
1
What is the tens digit of (-19483512)/304*(-6)/9?
2
Let n(a) = a**3 + 7*a**2 - 8*a + 9. Let s be n(-8). Let c(u) = 4*u**2 - 8*u + 2. What is the units digit of c(s)?
4
Let h be 6*4/(-18)*15. What is the tens digit of ((-2)/h*5)/((-2)/(-792))?
9
Let x(d) be the second derivative of 1/6*d**3 - 1/20*d**5 + 29*d + 1/4*d**4 + 0 + 74*d**2. What is the tens digit of x(0)?
4
Suppose -5*j = -4*n - 0*n - 68, 3*j = 3*n + 48. Let z be 18/n + 3/6. What is the units digit of z/(-1 - 30/(-35))?
7
Let m = 153 - 137. Suppose 4*t = -m, -x + t + 169 = -57. What is the tens digit of x?
2
Suppose -3*c + 8 = c. Suppose 0 = c*u - 3*u + 1. What is the units digit of (0 + u*-1)/(28/(-4172))?
9
Suppose 1312*u - 104721 = 1307*u + 3*v, 3*u = -v + 62827. What is the ten thousands digit of u?
2
Let a = -144 + 143. What is the units digit of ((-29)/(-87))/((-1)/1683*a)?
1
Let z(h) = 43*h + 12. Suppose -666 + 813 = 7*j. What is the units digit of z(j)?
5
Suppose -19886*d + 19888*d - 12488 = 0. What is the thousands digit of d?
6
Let l = -12251 + 26913. What is the ten thousands digit of l?
1
Let r(p) be the first derivative of p**4/4 - 2*p**3 - 8*p**2 - 21*p - 107. What is the units digit of r(11)?
8
Let u(s) = 33*s**2 - 4*s - 12. Let y be u(-4). Let r = y - 263. Suppose -183 = -3*m - 3*c, 5*m - c - r = 3*c. What is the tens digit of m?
5
Let p(o) = -7*o**3 + 8*o**2 + 39*o + 400. What is the tens digit of p(-8)?
8
Let g = -1216 - -628. Let n = 1003 + g. What is the hundreds digit of n?
4
Let f be 1/(-2 + (-15)/(-7)). Let u(t) = -4*t + 23*t**2 - 19*t**2 - 2*t**2 + 8 + 0*t. What is the tens digit of u(f)?
7
Let n be -12 - (20/(-110) - (-68)/11). Let j(a) = 2*a**2 - 50*a + 18. What is the thousands digit of j(n)?
1
Suppose 93583 = 27*a - 227906. What is the hundreds digit of a?
9
Let g(u) = u**3 + 8*u**2 - 9*u + 12. Let i be g(-9). Let v be (i/(-2))/(14/(-511)). Let o = v + -153. What is the units digit of o?
6
Let b be (1/4)/(1 - 21/28). Let u(o) = b + 8*o + 2*o - 7 - 6. What is the hundreds digit of u(17)?
1
Let t = 11647 - 4866. What is the hundreds digit of t?
7
Let j = -106 - -111. Suppose 3*w - w + 715 = 5*o, -3*o = j*w - 429. Let b = o + -65. What is the tens digit of b?
7
Let x(l) = -3*l**2. Let s(o) = -10*o**2 + 20*o + 56. Let w(k) = -s(k) + 2*x(k). What is the units digit of w(16)?
8
Let o(b) = 632*b - 5. Let z be o(1). Let p = z - 237. What is the tens digit of p?
9
What is the tens digit of 4/10*(1424340/(-574))/((-3)/140)?
2
Let v(m) = -17*m + 233. Let z be v(13). What is the tens digit of 27/(-36) - (-933)/z?
7
Let r(t) = 33*t - 64. Let h be r(18). Let y = -295 + h. What is the units digit of y?
5
Suppose -3*v - 3*g = -g + 5319, -2*v + 3*g = 3533. Let j(d) = d**2 - 14*d + 2. Let u be j(6). What is the units digit of (48/14)/(u/v)?
2
Let f be ((-2032)/(-6))/((-8)/(-12)). Suppose 3*s + 5*r - 4*r - 304 = 0, 0 = 5*s + 3*r - f. Let j = s + -25. What is the units digit of j?
6
Let y be (12/(-15))/((-5)/50). Let q(j) = -15*j - 30*j - y - 11. What is the units digit of q(-5)?
6
Let r(i) = 17*i**2 + 64*i - 1066. What is the units digit of r(17)?
5
Suppose -2*d + 696 = -j, 0*d + 4*d = 4*j + 1400. Let f = -91 + d. What is the tens digit of f?
5
Suppose -3*o + 3*m - m = -4499, -o + 4*m + 1493 = 0. What is the thousands digit of o?
1
Suppose -2*n + 3*z + 17858 + 5497 = 0, 2*n = -4*z + 23362. What is the thousands digit of n?
1
Let t(m) = -3*m**3 + 13*m**2 + 3*m - 68. Let i(c) = -c**3 + 2*c**2 + c. Let a(f) = 4*i(f) - t(f). What is the hundreds digit of a(-8)?
2
Let j(k) be the second derivative of -9/2*k**2 + 0 + 14/3*k**3 - 17*k. What is the units digit of j(4)?
3
Let r = -50 + 55. Suppose 3*o + 0*j - j = 9, r*j = 15. Suppose 2*c - 3*w - 46 = 0, -3*c + o*w + 78 = 8. What is the tens digit of c?
2
Let x(v) = -2*v**2 + 5*v + 63. Let c be x(-11). What is the units digit of (-6923)/(-9) - (-52)/c?
9
Let r(c) = -c - 7. Let f be r(-11). Suppose 47 = -f*l - 177. Let v = 135 + l. What is the units digit of v?
9
Suppose 4*a + 282 = 2*i, -107 - 272 = -3*i - 5*a. Suppose -5*k + i = y, 7*k + 575 = 5*y + 2*k. What is the hundreds digit of y?
1
Suppose -5*u + 5*p = -u + 195, 0 = -5*u - 5*p - 210. Let m be (u/4)/((-2)/(-8)). What is the tens digit of 8/36 + (-755)/m?
1
Let x(w) = -w**3 - 2*w**2 - 2*w - 17. Let d be x(-6). Let s = 157 - d. What is the units digit of s?
8
Suppose -5*j = 3*a - 46460, 5*j = -a - a + 30970. What is the tens digit of a?
9
Suppose -22*n + 30156 = -3460. What is the hu | {
"pile_set_name": "DM Mathematics"
} |
tors of 11293067.
11293067
What are the prime factors of 5622379?
7, 43, 18679
What are the prime factors of 817365?
3, 5, 29, 1879
What are the prime factors of 247600?
2, 5, 619
List the prime factors of 611234.
2, 13, 23509
List the prime factors of 222230.
2, 5, 71, 313
What are the prime factors of 443089?
443089
List the prime factors of 19859341.
59, 336599
What are the prime factors of 16135265?
5, 797, 4049
List the prime factors of 1010495.
5, 202099
What are the prime factors of 1264271?
1264271
What are the prime factors of 15360908?
2, 3840227
What are the prime factors of 643095?
3, 5, 31, 461
What are the prime factors of 1509255?
3, 5, 11, 3049
What are the prime factors of 76856?
2, 13, 739
What are the prime factors of 1316442?
2, 3, 219407
What are the prime factors of 384704?
2, 6011
What are the prime factors of 18584813?
13, 1429601
List the prime factors of 107599.
107599
What are the prime factors of 1833310?
2, 5, 19, 9649
List the prime factors of 27919372.
2, 13, 17, 31583
List the prime factors of 1649740.
2, 5, 82487
List the prime factors of 5364274.
2, 317, 8461
List the prime factors of 1814906.
2, 41, 22133
What are the prime factors of 1714499?
1714499
List the prime factors of 852868.
2, 213217
List the prime factors of 154317.
3, 51439
What are the prime factors of 7414?
2, 11, 337
What are the prime factors of 135673?
211, 643
What are the prime factors of 3373790?
2, 5, 7, 48197
What are the prime factors of 2855695?
5, 439, 1301
List the prime factors of 5461140.
2, 3, 5, 91019
List the prime factors of 26035572.
2, 3, 2169631
List the prime factors of 7010950.
2, 5, 281, 499
What are the prime factors of 389835?
3, 5, 8663
What are the prime factors of 2051110?
2, 5, 205111
List the prime factors of 74796.
2, 3, 23, 271
List the prime factors of 9969221.
9969221
List the prime factors of 364125.
3, 5, 971
List the prime factors of 5479150.
2, 5, 109583
List the prime factors of 1156230.
2, 3, 5, 29, 443
What are the prime factors of 177082?
2, 37, 2393
What are the prime factors of 1095724?
2, 7, 39133
List the prime factors of 798956.
2, 199739
What are the prime factors of 178987?
178987
What are the prime factors of 5350686?
2, 3, 11, 81071
What are the prime factors of 3609031?
19, 189949
List the prime factors of 1272740.
2, 5, 7, 9091
What are the prime factors of 72499?
7, 10357
List the prime factors of 1999835.
5, 73, 5479
List the prime factors of 6785340.
2, 3, 5, 113089
What are the prime factors of 35541?
3, 11, 359
What are the prime factors of 13314661?
223, 59707
What are the prime factors of 315682?
2, 157841
List the prime factors of 696477.
3, 31, 7489
What are the prime factors of 808341?
3, 211, 1277
List the prime factors of 4081880.
2, 5, 11, 9277
List the prime factors of 292880.
2, 5, 7, 523
What are the prime factors of 10649081?
37, 287813
What are the prime factors of 11980896?
2, 3, 37, 3373
List the prime factors of 2141796.
2, 3, 17, 10499
What are the prime factors of 262880?
2, 5, 31, 53
What are the prime factors of 33986?
2, 16993
What are the prime factors of 1126690?
2, 5, 307, 367
List the prime factors of 383111.
23, 16657
List the prime factors of 724839.
3, 41, 71, 83
List the prime factors of 6213271.
79, 78649
List the prime factors of 19045743.
3, 173, 36697
List the prime factors of 10060765.
5, 11, 13, 14071
What are the prime factors of 59618?
2, 13, 2293
What are the prime factors of 4478455?
5, 895691
List the prime factors of 6018132.
2, 3, 501511
List the prime factors of 833802.
2, 3, 138967
List the prime factors of 2160325.
5, 86413
What are the prime factors of 158936?
2, 19867
What are the prime factors of 16137043?
13, 167, 7433
List the prime factors of 1367137.
1367137
List the prime factors of 97195.
5, 7, 2777
List the prime factors of 7163225.
5, 349, 821
List the prime factors of 6921972.
2, 3, 47, 4091
What are the prime factors of 14108447?
1993, 7079
List the prime factors of 3219379.
19, 23, 53, 139
What are the prime factors of 107519?
79, 1361
What are the prime factors of 2803887?
3, 19, 863
List the prime factors of 167453.
11, 13, 1171
List the prime factors of 2736758.
2, 97, 14107
What are the prime factors of 1754244?
2, 3, 37, 439
List the prime factors of 162458.
2, 29, 2801
What are the prime factors of 1393982?
2, 696991
What are the prime factors of 10641287?
53, 200779
List the prime factors of 6410372.
2, 19, 84347
List the prime factors of 13290668.
2, 17, 241, 811
What are the prime factors of 921064?
2, 115133
What are the prime factors of 7188390?
2, 3, 5, 11, 53, 137
What are the prime factors of 610272?
2, 3, 13, 163
What are the prime factors of 5053192?
2, 23, 29, 947
What are the prime factors of 118066?
2, 13, 19, 239
List the prime factors of 708855.
3, 5, 7, 43, 157
What are the prime factors of 442244?
2, 11, 19, 23
List the prime factors of 18343.
13, 17, 83
What are the prime factors of 4414000?
2, 5, 2207
List the prime factors of 45502.
2, 22751
What are the prime factors of 191748?
2, 3, 19, 29
What are the prime factors of 3531030?
2, 3, 5, 117701
List the prime factors of 334347.
3, 13, 8573
List the prime factors of 863272.
2, 29, 61
List the prime factors of 4106487.
3, 7, 11, 29, 613
What are the prime factors of 17004302?
2, 7, 1214593
What are the prime factors of 24261320?
2, 5, 23, 26371
What are the prime factors of 20605813?
20605813
What are the prime factors of 725241?
3, 11, 21977
What are the prime factors of 288469?
61, 4729
What are the prime factors of 172143?
3, 31, 617
List the prime factors of 9843172.
2, 23, 97, 1103
List the prime factors of 1105715.
5, 13, 17011
What are the prime factors of 538667?
47, 73, 157
What are the prime factors of 11983696?
2, 748981
What are the prime factors of 266900?
2, 5, 17, 157
What are the prime factors of 372073?
13, 28621
What are the prime factors of 610852?
2, 11, 13883
What are the prime factors of 2484639?
3, 359, 769
What are the prime factors of 1659139?
59, 61, 461
What are the prime factors of 13065331?
19, 211, 3259
List the prime factors of 6741901.
6741901
What are the prime factors of 681814?
2, 7, 31, 1571
List the prime factors of 906270.
2, 3, 5, 17, 1777
List the prime factors of 2883414.
2, 3, 480569
What are the prime factors of 28200482?
2, 439, 32119
List the prime factors of 351952.
2, 21997
What are the prime factors of 30136241?
37, 814493
List the prime factors of 3346347.
3, 1115449
What are the prime factors of 2167467?
3, 722489
List the prime factors of 37712.
2, 2357
List the prime factors of 363443.
17, 21379
What are the prime factors of 1199822?
2, 13, 46147
What are the prime factors of 590501?
19, 31079
List the prime factors of 3953791.
3953791
What are the prime factors of 48469?
19, 2551
List the prime factors of 5579211.
3, 11, 169067
List the prime factors of 43384019.
7, 6197717
What are the prime factors of 431391?
3, 143797
List the prime factors of 162007.
162007
List the prime factors of 7184549.
37, 277, 701
What are the prime factors of 15683856?
2, 3, 37, 8831
What are the prime factors of 5540092?
2, 1385023
List the prime factors of 3403278.
2, 3, 43, 4397
List the prime factors of 3386003.
557, 6079
List the prime factors of 25095158.
2, 11, 103699
What are the prime factors of 2233805?
5, 7, 63823
List the prime factors of 25966552.
2, 163, 19913
What are the prime factors of 4415931?
3, 13, 23, 547
List the prime factors of 8913.
3, 2971
List the prime factors of 6705039.
3, 11, 203183
What are the prime factors of 2521443?
3, 79, 10639
What are the prime factors of 23847313?
7, 3406759
What are the prime factors of 35039372?
2, 8759843
List the prime factors of 356926.
2, 179, 997
List the prime factors of 40103.
7, 17, 337
What are the prime factors of 2546385?
3, 5, 53, 3203
List the prime factors of 3493832.
2, 436729
List the prime factors of 510009.
3, 170003
What are the prime factors of 1026641?
7, 11, 67, 199
List the prime factors of 84761.
84761
What are the prime factors of 14837227?
79, 293, 641
List the prime factors of 1209779.
1209779
What are the prime factors of 2199835?
5, 11, 23, 37, 47
What are the prime factors of 53294?
2, 26647
What are the prime factors of 4595199?
| {
"pile_set_name": "DM Mathematics"
} |
8
Convert 8979.39kg to grams.
8979390
What is 3/25 of a kilometer in centimeters?
12000
Convert 98.83032ng to micrograms.
0.09883032
What is 21/4 of a meter in millimeters?
5250
What is 17/4 of a milligram in micrograms?
4250
How many years are there in 82430.02 centuries?
8243002
What is seventy-five quarters of a century in years?
1875
What is 677794.6 micrometers in nanometers?
677794600
How many millilitres are there in twenty-nine fifths of a litre?
5800
Convert 536.3223 millennia to months.
6435867.6
Convert 48963.06 litres to millilitres.
48963060
Convert 97213.58mg to micrograms.
97213580
How many millilitres are there in 1/4 of a litre?
250
What is one fifth of a microsecond in nanoseconds?
200
What is 41/2 of a century in months?
24600
How many millilitres are there in 1/10 of a litre?
100
How many minutes are there in thirty-seven halves of a hour?
1110
How many nanograms are there in 26/5 of a microgram?
5200
How many decades are there in 2.3943669 months?
0.0199530575
What is 13/4 of a litre in millilitres?
3250
How many millennia are there in 19.273905 months?
0.00160615875
How many minutes are there in 1/20 of a week?
504
What is 1/9 of a day in seconds?
9600
How many nanograms are there in 53.38493 grams?
53384930000
Convert 11.882625 minutes to hours.
0.19804375
What is 699.5062cm in nanometers?
6995062000
How many kilometers are there in 277.1181 meters?
0.2771181
How many microseconds are there in five eighths of a millisecond?
625
What is three fifths of a hour in minutes?
36
What is 4835208.42 minutes in weeks?
479.683375
How many seconds are there in one sixth of a hour?
600
Convert 4903.095 litres to millilitres.
4903095
How many millilitres are there in one fifth of a litre?
200
Convert 1.39856l to millilitres.
1398.56
What is 74461.15 decades in centuries?
7446.115
Convert 0.5946208ml to litres.
0.0005946208
What is fourty-six fifths of a centimeter in millimeters?
92
What is 891.856 meters in centimeters?
89185.6
How many litres are there in 813.0815ml?
0.8130815
How many micrometers are there in 10.32201 meters?
10322010
What is 74.6535 nanograms in grams?
0.0000000746535
Convert 5.354949 litres to millilitres.
5354.949
How many months are there in 12164.8 centuries?
14597760
Convert 5.972234mm to meters.
0.005972234
How many hours are there in three eighths of a day?
9
What is 7.611611 millimeters in centimeters?
0.7611611
Convert 96202.59 kilometers to centimeters.
9620259000
How many nanograms are there in 5684.42t?
5684420000000000000
What is 87.22707 hours in nanoseconds?
314017452000000
How many milliseconds are there in 8726.538 days?
753972883200
How many months are there in 0.0626035 centuries?
75.1242
How many milligrams are there in 0.5840065 kilograms?
584006.5
What is 61/3 of a decade in months?
2440
What is 4397.26 centuries in months?
5276712
What is 276718.2 litres in millilitres?
276718200
How many millimeters are there in eleven tenths of a centimeter?
11
How many millimeters are there in 45/2 of a centimeter?
225
How many milligrams are there in 45/8 of a gram?
5625
How many millilitres are there in 5/4 of a litre?
1250
Convert 5.77789 centuries to decades.
57.7789
What is 7/8 of a litre in millilitres?
875
Convert 192484.1 kilograms to milligrams.
192484100000
What is 1/4 of a milligram in micrograms?
250
What is fifty-three quarters of a kilometer in meters?
13250
How many grams are there in twenty-one eighths of a kilogram?
2625
How many months are there in 1/6 of a millennium?
2000
How many nanograms are there in three tenths of a microgram?
300
How many millilitres are there in 6.512596l?
6512.596
What is 176508.3 kilometers in centimeters?
17650830000
What is 4176.542 nanometers in millimeters?
0.004176542
How many seconds are there in seven halves of a hour?
12600
What is 442.8349mg in grams?
0.4428349
How many meters are there in fourty-five quarters of a kilometer?
11250
How many millilitres are there in 6/5 of a litre?
1200
How many meters are there in 27/4 of a kilometer?
6750
What is three fifths of a litre in millilitres?
600
What is 50.48536 millilitres in litres?
0.05048536
What is 240988.3 kilometers in nanometers?
240988300000000000
What is 1.564011 micrometers in meters?
0.000001564011
What is 15/4 of a hour in minutes?
225
What is three eighths of a hour in seconds?
1350
What is 0.4186353 millimeters in micrometers?
418.6353
How many milligrams are there in eleven quarters of a gram?
2750
How many millilitres are there in 1/4 of a litre?
250
Convert 636.0459 centuries to decades.
6360.459
What is 3/8 of a litre in millilitres?
375
How many nanoseconds are there in 0.0209092us?
20.9092
What is 6895.247kg in nanograms?
6895247000000000
How many years are there in 26/5 of a century?
520
How many millilitres are there in 6.731632 litres?
6731.632
What is one quarter of a kilometer in centimeters?
25000
How many meters are there in 42/5 of a kilometer?
8400
Convert 27.79247 nanograms to milligrams.
0.00002779247
How many nanometers are there in 6980.78 meters?
6980780000000
What is twenty-seven fifths of a centimeter in micrometers?
54000
What is eleven halves of a decade in months?
660
Convert 0.1959938 minutes to milliseconds.
11759.628
Convert 1.857315 kilometers to micrometers.
1857315000
What is seventeen quarters of a litre in millilitres?
4250
How many grams are there in 3/10 of a kilogram?
300
What is 18/5 of a kilogram in grams?
3600
What is 8862.118 micrometers in centimeters?
0.8862118
How many kilograms are there in 954.442 grams?
0.954442
Convert 938613.6 days to nanoseconds.
81096215040000000000
How many millilitres are there in 3.917 litres?
3917
What is 4462.939ng in micrograms?
4.462939
What is three eighths of a millisecond in microseconds?
375
Convert 76599.32g to tonnes.
0.07659932
How many months are there in 1/20 of a century?
60
What is 6/5 of a century in decades?
12
What is 428902.8nm in micrometers?
428.9028
How many nanograms are there in 0.3814317 grams?
381431700
How many litres are there in 2991.189 millilitres?
2.991189
What is 584.363 millennia in centuries?
5843.63
How many micrometers are there in 66.93945 centimeters?
669394.5
Convert 606325.6 micrometers to kilometers.
0.0006063256
What is 72.60205mm in meters?
0.07260205
How many millilitres are there in 0.1004101l?
100.4101
How many grams are there in 2112.51 nanograms?
0.00000211251
Convert 0.4817791 milligrams to nanograms.
481779.1
Convert 0.8805376cm to nanometers.
8805376
How many millilitres are there in twenty-nine fifths of a litre?
5800
How many nanometers are there in 5524.686 millimeters?
5524686000
How many tonnes are there in 7.706567 micrograms?
0.000000000007706567
What is 157.482g in micrograms?
157482000
What is twenty-five eighths of a litre in millilitres?
3125
How many minutes are there in twenty-seven halves of a hour?
810
How many kilograms are there in 6/25 of a tonne?
240
What is fifty-three quarters of a millennium in decades?
1325
How many seconds are there in 2/9 of a hour?
800
How many millilitres are there in three eighths of a litre?
375
Convert 300.0032l to millilitres.
300003.2
What is 53/5 of a tonne in kilograms?
10600
What is 6851.1261 hours in weeks?
40.7805125
What is one quarter of a tonne in kilograms?
250
How many nanograms are there in 2/125 of a microgram?
16
How many grams are there in 3/10 of a kilogram?
300
How many milligrams are there in 3/5 of a gram?
600
What is 0.1438571l in millilitres?
143.8571
What is 11/2 of a litre in millilitres?
5500
How many decades are there in 1/5 of a century?
2
What is 12/25 of a millennium in months?
5760
How many millilitres are there in 13/8 of a litre?
1625
What is 1/30 of a week in minutes?
336
How many seconds are there in 44/5 of a hour?
31680
What is one fifth of a microsecond in nanoseconds?
200
What is 7/8 of a tonne in kilograms?
875
What is 7470115.2 milliseconds in hours?
2.075032
How many years are there in 6.458181 months?
0.53818175
Convert 716.458 micrometers to centimeters.
0.0716458
What is 25/4 of a litre in millilitres?
6250
How many seconds are there in 2/21 of a week?
57600
How many micrograms are there in three fifths of a milligram?
600
Convert 522.3044cm to kilometers.
0.005223044
What is | {
"pile_set_name": "DM Mathematics"
} |
e -5*s = -26 + 6. Sort s, h, -3 in increasing order.
-3, h, s
Suppose 2*t + 32 - 10 = 0. Let a = t + 11. Suppose a*x = x. Put -1, 5, x in ascending order.
-1, x, 5
Suppose -5*g + 17 = -2*t, -20 = -5*t - 11*g + 8. Let j be (1/(-2))/(1/4). Put t, j, 1 in increasing order.
j, t, 1
Let g = -460 - -458. Let q be 5*(4 - 3) - 0. Let k(n) = n**2 - 3*n. Let w be k(3). Sort w, q, g in ascending order.
g, w, q
Suppose 5*s + 894 = -146. Let v be 1/3 + s/48. Let h be (-6)/v + 3/(-6). Put h, 3, -3 in decreasing order.
3, h, -3
Let l(s) = -s - 11. Suppose t = -3*c - 50 + 20, -2*c + 5*t = 3. Let o be l(c). Let j be 0 + -4*o/36. Sort -3, j, -1 in ascending order.
-3, -1, j
Let h(i) = -i**2 + 6*i + 19. Let w be h(8). Suppose 2*x - x = -4. Let n = x + w. Sort 3, n, -3.
-3, n, 3
Let j = 35 + -56. Suppose -5*q + 11 = -4*h, -2*h + 0*q - 10 = 2*q. Sort h, j, 5 in decreasing order.
5, h, j
Let x = -24.9 + 4.9. Let p = -3 + x. Let k = p - -28. Sort 2/13, -1/2, k in decreasing order.
k, 2/13, -1/2
Let k = 452 - 453. Sort -17, 1, k, 2 in decreasing order.
2, 1, k, -17
Let d be (-10 + 3033/306)/(4 + -1). Put -1, d, -0.4, 0.4 in ascending order.
-1, -0.4, d, 0.4
Suppose 2*x = -2 - 4. Let l = -185/1056 + 3/352. Put -0.5, l, x in decreasing order.
l, -0.5, x
Let x = -2 - 3. Let h = 1.8 - -0.6. Let v = h - 2.3. Sort v, x, 0 in decreasing order.
v, 0, x
Suppose 0 = 25*g - 19 - 6. Put -7, 16, g in decreasing order.
16, g, -7
Let w be (1/12)/((-3)/(-8)). Let p = 11.57 - 7.57. Sort p, 0.7, 3/7, w in increasing order.
w, 3/7, 0.7, p
Suppose -4*o + 15 + 1 = -d, -3*o + 31 = 4*d. Suppose -o*p - 2 + 27 = 0. Put -2, p, -4, 4 in increasing order.
-4, -2, 4, p
Let x = -13 - -17. Let p be ((-2)/x)/(77/14). Put 0, p, -0.2 in descending order.
0, p, -0.2
Suppose 0 = -6*z + 2*z - 4. Let o = 0.2 + 0. Let h = o + 0.2. Put z, h, 5 in decreasing order.
5, h, z
Suppose 4*w - 4 + 0 = 0. Suppose 2*x - 4*p = 8, -x + p + 6 = -2*p. Sort -8, 5, w, x.
-8, x, w, 5
Suppose 3*w - 24 = -5*a + 223, -5*w - 5*a + 405 = 0. Let l = 1025/13 - w. Sort 0.2, 5, l, -1 in increasing order.
-1, l, 0.2, 5
Suppose 25*u - 6 = 31*u. Put 5, u, 6 in increasing order.
u, 5, 6
Let l(p) = -p**3 - 10*p**2 + 10*p - 1. Suppose q = 5*q + 44. Let k be l(q). Let r = -7 + k. Sort 5, r, -1 in descending order.
5, r, -1
Let j = -1 + 0. Let c be 0 + j - (1 - 8). Let u = -309 + 312. Sort -1, u, c.
-1, u, c
Let u(q) = -6*q + 19. Let a be u(9). Let w = a + 30. Let s(i) = i**2 - 6*i + 5. Let t be s(5). Put t, -4, w in increasing order.
w, -4, t
Let t(z) be the second derivative of -z**3/3 + 21*z**2 - 3*z. Let r be t(19). Let h = 922/7 + -132. Sort h, -1/4, r in increasing order.
h, -1/4, r
Suppose -24*p + 183 = -297. Sort p, -6, 4.
-6, 4, p
Let a be 0 + 4/(-1)*-1. Let q be (-7 - -3)*(-4 - 21/(-6)). Sort q, a, 3 in ascending order.
q, 3, a
Let s = -117 + 91. Let c = s - -17. Put -5, 0, -0.1, c in increasing order.
c, -5, -0.1, 0
Let c(j) = -3*j + 1. Let y be c(2). Let f be (-14)/2 - ((1 - 2) + -2). Let x be 18*(-5)/(-40) + (-3)/f. Sort 5, x, y in decreasing order.
5, x, y
Let v = -1 + 3. Let y be (-10)/4*16/(-10). Sort v, y, -4, -3.
-4, -3, v, y
Let o be 1*-1 + 378/63. Let t(q) = q - 1. Let y be t(-2). Sort -4, y, 0, o.
-4, y, 0, o
Let a(j) = j**2 + 14*j - 53. Let t be a(-17). Put -4, 7, t in ascending order.
-4, t, 7
Let n be 3/(-12) + 2/(-56). Let y = -0.54 + 32.54. Let m = y - 31.6. Put m, -0.1, n in decreasing order.
m, -0.1, n
Let k = 30 + -59. Let a = 29 + k. Put -2, a, -5, 1 in ascending order.
-5, -2, a, 1
Let w be 24/10*2/8. Let q(a) = 2*a**2 - 11*a - 26. Let i be q(-2). Put w, i, 0.4, 1/2 in decreasing order.
i, w, 1/2, 0.4
Suppose 2*a + 171 = 53. Let w = 56 + a. Put -5, w, -2, 1 in descending order.
1, -2, w, -5
Suppose 0 = 22*c - 28*c. Sort 2, c, 1, 13 in decreasing order.
13, 2, 1, c
Suppose 61 = 17*b - 24. Sort -1, -6, b, 0 in descending order.
b, 0, -1, -6
Let p = -0.033 + -26.967. Let b = -43 - p. Let a = 15 + b. Sort -1/4, -5, a in decreasing order.
-1/4, a, -5
Let a = -37738/51 - -740. Let b = 139/357 + a. Sort 0.2, b, -3 in decreasing order.
b, 0.2, -3
Let a = 5 - 4. Let f = 19 - 19. Let j be (-3)/4*(f - -4). Put j, a, -1 in increasing order.
j, -1, a
Let x = -9.7 + 13.61. Let u = 0.09 + x. Let s = 66.8 + -68.8. Sort u, s, -1 in increasing order.
s, -1, u
Let w = -5.021 + 0.021. Let h be 2/70*2*5. Sort h, w, 16 in descending order.
16, h, w
Let f(r) = -r**2 - 53*r - 357. Let c be f(-8). Sort c, 17, 1, -5.
-5, 1, c, 17
Let d be -15*11/(-66)*4/(-5). Sort -8, 0, d, -3 in descending order.
0, d, -3, -8
Suppose -12 = l - 2*a, -3*l = 2*a - 0*a + 76. Let t = -19 - l. Sort 1, t, 5, -3.
-3, 1, t, 5
Let m = 2/8521 + -25567/17042. Sort -6.7, -5, m in increasing order.
-6.7, -5, m
Let n(u) = -u**2 - 14*u - 23. Let k be n(-11). Suppose 40*j + k = 38*j. Sort j, 4, -4 in ascending order.
j, -4, 4
Let o(r) = -r**2 - 27*r - 1. Let y be o(-23). Let f = y - 92. Put f, 0, 3, 5 in descending order.
5, 3, 0, f
Let j(r) be the first derivative of r**4/4 + 2*r**3 + r**2/2 + 4*r - 3. Let p be j(-6). Let q be -2 + (14/8)/(4/16). Put q, 3, p in increasing order.
p, 3, q
Let t(l) = -5*l + 52. Let o be t(10). Let b(n) = -n**2 + 6*n + 19. Let c be b(8). Put c, o, -8 in descending order.
c, o, -8
Suppose 3*w - 2*z = 10, 33 = -3*w - 5*z + 8. Suppose w = 5*d + 4 + 6. Sort 4, d, -4, 5 in increasing order.
-4, d, 4, 5
Suppose 0 = -8*c + 25*c - 34. Sort 1, c, -14/9 in descending order.
c, 1, -14/9
Let y = 1.6 + -1.2. Let c = -92 + 90. Sort y, -15, c in increasing order.
-15, c, y
Let w = 4 + 1. Let n(g) = g**2 - 9*g + 10. Let b be n(8). Let f = -246 - -242. Sort f, w, b in increasing order.
f, b, w
Suppose -2*g = 5*u + 3, -4*g = -0*u - 2*u + 18. Suppose -5*q + q + 16 = 2*f, -4*f = -3*q + 1. Suppose 0 = -b - 52 + 55. Sort u, b, f in descending order.
b, f, u
Suppose 3*o + 2*o = -180. Let r be 12/9*o/8. Sort -4, r, -3 in ascending order.
r, -4, -3
Let w = -6.6 - -6.8. Sort w, 2/11, 2, -0.5 in descending order.
2, w, 2/11, -0.5
Suppose 5*o = 3*a - 9, -3*o + 2*a - 9 = -a. Let y be o - ((0 - -2) + -3). Sort -5, -3, y, -2 in decreasing order.
y, -2, -3, -5
Let a = 8 - 23/3. Let z be (-798)/558 - 2/12. Let k = z + 3/31. Put a, k, 4 in ascending order.
k, a, 4
Let s = -468 + 468.4. Let w(t) = -t**2 + 7*t - 2. Let c be w(6). Put c, 12, s in increasing order.
s, c, 12
Let y = -5044/3 + 1681. Let o = -0.15 + 0.2. Let k = o - 0.45. Sort 0.1, k, y in increasing order.
k, y, 0.1
Let j be 51/(-45) - -2 - (-10)/75. Suppose -52 = 11*n + 2*n. Sort j, 8, n.
n, j, 8
Let t be (-6)/4 + 6/4. Suppose 5*b = b + 4*i, -5*b - 2*i + 21 = t. Sort -4, b, -6 in descending order.
b, -4, -6
Let v = -6.965 + 7. Let u = -3.015 + v. Let r = 0.02 - u. Sort -1/3, r, 0.3 in decreasing order.
r, 0.3, -1/3
Suppose 3*l = -4*w - 4, 4*l + 2*w + 12 = -0*w. Let b = 0 + l. Let j = -35 - -40. Put j, -2, b in ascending order.
b, -2, j
Let u = 0.09 - -0.01. Let t = 46/3 - 15. Sort 4, -2/7, t, u in decreasing order.
4, t, u, -2/7
Suppose -3*a - 8 = -5*s, s - 40 = -5*a - 4*s. Sort -16, a, -3.
-16, -3, a
Let w be (32/18 + -2)*2. Let l be -1 + 3 - 896/576. Sort 1, l, w.
w, l, 1
Let r = -482 - -477. Put -3, -122, 1, r in ascending order.
-122, r, -3, 1
Let b be (-28)/33 - (-2)/3. Let o = 4.9 + -5. Let h = 0.082 + 4.918. Sort h, o, b.
b, o, h
Let v be (-67)/23 - 6/69. Put v, -0.1, -2/69, 2 in decreasing order.
2, -2/69, -0.1, v
Let i = -167 - -169. Put i, 3, 2/13, 4 in ascending order.
2/13, i, 3, 4
Let h = -14.2 - -20. Let j = -5.9 + h. Let v = 288 + -3742/13. Sort v, 0.4, j.
j, v, 0.4
Let z(k) = 5*k - 23. Let q(n) = -6*n + 24. Let t(r) = 6*q(r) + 7*z(r). Let i be t(-16). Suppose -3 - 3 = f. Sort i, -5, f in descending order.
i, -5, f
Let s = -0.5548 - 0.1452. Put 7, 0.5, s in ascending order.
s, 0.5, 7
Let m = -123 - -126. Sort -2/9, -5, 0, m in decreasing order.
m, 0, -2/9, -5
Suppose 2*k + 2 - 12 = 0. Let p = 0 + k. Sort p, -5, -3 in increasing order.
-5, -3, p
Let u = -0.04 - 3.96. Let l = -4.4 - u. Let f be 0 + (2/6 - 7/12). Put l, f, 1 in increasing order.
l, f, 1
Let o = 8.77 - 8.77. Let u(b) = -3*b**3 - 2*b**2 - 2*b - 1. Let n be u(-1). Put o, -6, n in decreasing order.
n, o, -6
Let p = -343 - -176. Let i = p - -1171/7. Put 5, i, 2 in increasing order.
i, 2, 5
Let m = -50 + 55. Suppose -4*t + x - m = | {
"pile_set_name": "DM Mathematics"
} |
is 9499.517 kilometers in centimeters?
949951700
What is thirty-two fifths of a centimeter in micrometers?
64000
How many seconds are there in 95424.19ns?
0.00009542419
Convert 0.9122461kg to milligrams.
912246.1
How many decades are there in 86.40235 millennia?
8640.235
What is 3/8 of a litre in millilitres?
375
What is 1132.527m in micrometers?
1132527000
How many milliseconds are there in 54/5 of a second?
10800
What is 1/24 of a millennium in months?
500
How many nanograms are there in thirty-two fifths of a microgram?
6400
What is 2066.014mg in kilograms?
0.002066014
How many millilitres are there in 3/50 of a litre?
60
What is 423129.6 days in hours?
10155110.4
How many months are there in 1.611116 millennia?
19333.392
Convert 7510.874kg to milligrams.
7510874000
How many minutes are there in fourteeen ninths of a week?
15680
How many seconds are there in 3/40 of a week?
45360
What is 6/25 of a millimeter in micrometers?
240
Convert 7343.577mg to micrograms.
7343577
Convert 7.467305 days to nanoseconds.
645175152000000
How many micrograms are there in 1/20 of a milligram?
50
What is 74/5 of a litre in millilitres?
14800
Convert 9915.33 millimeters to meters.
9.91533
What is 3/25 of a week in seconds?
72576
How many micrograms are there in 3182.761t?
3182761000000000
What is 65058.43 nanometers in kilometers?
0.00000006505843
What is one quarter of a kilometer in meters?
250
What is thirteen fifths of a millennium in years?
2600
What is 1/10 of a millennium in centuries?
1
Convert 3.56651g to kilograms.
0.00356651
What is 3/50 of a millimeter in nanometers?
60000
Convert 68393.37 decades to months.
8207204.4
How many millilitres are there in 0.2647199l?
264.7199
How many micrograms are there in seven halves of a milligram?
3500
What is 4.950625nm in millimeters?
0.000004950625
How many months are there in 0.9743059 decades?
116.916708
How many meters are there in 72500.23 centimeters?
725.0023
Convert 8192.983 micrograms to grams.
0.008192983
What is 49/5 of a litre in millilitres?
9800
What is twenty-seven fifths of a litre in millilitres?
5400
What is 9482.646ms in microseconds?
9482646
What is 968820.9 days in minutes?
1395102096
What is one quarter of a meter in centimeters?
25
How many grams are there in seventeen quarters of a kilogram?
4250
How many decades are there in nine tenths of a millennium?
90
How many milligrams are there in 840.0848kg?
840084800
What is 0.768589kg in grams?
768.589
How many micrometers are there in 3/8 of a centimeter?
3750
Convert 51847.47 seconds to hours.
14.402075
What is one quarter of a centimeter in micrometers?
2500
What is eight thirds of a hour in minutes?
160
What is 887.7489ml in litres?
0.8877489
What is 12.059391 months in millennia?
0.00100494925
How many hours are there in 17/7 of a week?
408
How many microseconds are there in 3/8 of a millisecond?
375
How many years are there in 25/2 of a century?
1250
How many millimeters are there in 77/5 of a meter?
15400
How many millimeters are there in three tenths of a meter?
300
How many tonnes are there in 83566.49 grams?
0.08356649
Convert 47446.8 milliseconds to minutes.
0.79078
What is 73/5 of a millennium in years?
14600
How many millilitres are there in 3/10 of a litre?
300
What is 5/8 of a meter in millimeters?
625
What is twenty-seven quarters of a litre in millilitres?
6750
What is three tenths of a litre in millilitres?
300
What is 48.55776 weeks in hours?
8157.70368
What is 77.03349mm in kilometers?
0.00007703349
How many months are there in 52/5 of a decade?
1248
What is 7/3 of a year in months?
28
What is eight thirds of a decade in months?
320
What is thirty-four fifths of a litre in millilitres?
6800
What is 11/2 of a decade in years?
55
How many decades are there in fourty-three halves of a century?
215
How many years are there in 7/2 of a decade?
35
How many micrograms are there in 2/125 of a gram?
16000
What is 2.006129ml in litres?
0.002006129
What is six fifths of a litre in millilitres?
1200
What is 16203.74 millennia in centuries?
162037.4
Convert 4.995579ns to microseconds.
0.004995579
What is 3/25 of a meter in millimeters?
120
How many centuries are there in 2516.7234 months?
2.0972695
What is 6071.753 years in decades?
607.1753
How many months are there in 41/2 of a decade?
2460
What is 0.6751071ug in nanograms?
675.1071
Convert 61.88683 nanometers to centimeters.
0.000006188683
How many millilitres are there in 4.73436l?
4734.36
What is eleven quarters of a litre in millilitres?
2750
Convert 0.1951514 weeks to days.
1.3660598
What is thirteen quarters of a meter in millimeters?
3250
What is three fifths of a kilogram in grams?
600
What is 979.9578 decades in months?
117594.936
How many milliseconds are there in 9/10 of a minute?
54000
How many meters are there in three tenths of a kilometer?
300
How many grams are there in 1657.219ng?
0.000001657219
How many millilitres are there in 49/5 of a litre?
9800
How many nanograms are there in 6/25 of a microgram?
240
How many litres are there in 95.60708ml?
0.09560708
What is 572.5494 years in millennia?
0.5725494
How many centimeters are there in 4.496745 kilometers?
449674.5
What is 547.218ml in litres?
0.547218
Convert 0.229127ng to kilograms.
0.000000000000229127
What is 6.885068 kilograms in micrograms?
6885068000
What is 7/8 of a micrometer in nanometers?
875
Convert 58.37092 centuries to millennia.
5.837092
How many decades are there in 0.9034585 years?
0.09034585
What is three fifths of a kilometer in centimeters?
60000
How many millilitres are there in 89831.29l?
89831290
How many millimeters are there in twenty-one halves of a meter?
10500
How many months are there in nine tenths of a century?
1080
What is six fifths of a century in months?
1440
How many nanograms are there in 133.5896 micrograms?
133589.6
What is 10886.04 microseconds in minutes?
0.000181434
What is 85/6 of a minute in seconds?
850
How many millilitres are there in five quarters of a litre?
1250
Convert 110.4712 centuries to months.
132565.44
How many millilitres are there in 8/25 of a litre?
320
How many grams are there in seven quarters of a kilogram?
1750
What is 2880.747 micrometers in meters?
0.002880747
What is 8/3 of a minute in seconds?
160
How many centimeters are there in 31/5 of a meter?
620
How many centuries are there in 95.05519 decades?
9.505519
How many millimeters are there in twenty-one quarters of a meter?
5250
What is 7/6 of a hour in seconds?
4200
How many millilitres are there in seventeen quarters of a litre?
4250
What is 1379.941l in millilitres?
1379941
How many millilitres are there in thirty-four fifths of a litre?
6800
Convert 0.5936546 litres to millilitres.
593.6546
How many milliseconds are there in seven fifteenths of a minute?
28000
What is 3/32 of a millimeter in nanometers?
93750
What is 520248.9 kilometers in nanometers?
520248900000000000
How many days are there in 905704.4 weeks?
6339930.8
How many decades are there in seven halves of a century?
35
What is four thirds of a week in hours?
224
How many microseconds are there in fourty-one halves of a millisecond?
20500
Convert 315.1587 millilitres to litres.
0.3151587
What is 752.57 micrometers in meters?
0.00075257
How many nanoseconds are there in 565855.1 weeks?
342229164480000000000
What is 3.944115g in micrograms?
3944115
What is one quarter of a century in months?
300
How many nanometers are there in 9.788539um?
9788.539
How many milliseconds are there in six fifths of a second?
1200
What is 317.2612 tonnes in nanograms?
317261200000000000
How many months are there in 31/2 of a decade?
1860
What is fourty-two fifths of a kilogram in grams?
8400
What is 5/4 of a microgram in nanograms?
1250
What is 1/16 of a kilometer in centimeters?
6250
What is 715.6002 kilometers in centimeters?
71560020
What is 75/8 of a litre in millilitres?
9375
How many meters are there in 4951.99 millimeters?
4.95199
How many nanograms are there in 21/8 of a microgram?
2625
What is 818745.4t in nanograms?
818745400000000000000
How many nanometers are there in 53/4 of a micrometer?
13250
How many millilitres are there in 3/8 of a litre?
375
How many litres are there in 195.7954ml?
0.1957954
What is 0.0861305um in centimeters?
0.00 | {
"pile_set_name": "DM Mathematics"
} |
(b) i (c) 1.1
c
Suppose -336*v + 387*v - 255 = 0. Let n = 1.96 - 2. What is the biggest value in n, 1/2, v?
v
Let w be (36/(-14))/((-2)/(-5)). Let i = w + 173/28. Let f be 6 + -14 - (-5 - -2)*3. Which is the third smallest value? (a) 1/3 (b) f (c) i
b
Let q = -5 - -3. Let g = -74 - -48. Let x = -25.7 - g. What is the second smallest value in -1/2, x, q?
-1/2
Let o = -1.2 + 0.2. Let x = o - 1. Suppose 3*d + 3*i - 2*i + 16 = 0, 2*d + 4*i + 24 = 0. What is the smallest value in x, d, -1/2?
d
Let x = 1325543074/9 - 147425048. Let l = x - -142308. Let p = l + 176. Which is the third smallest value? (a) p (b) 4/7 (c) 3
c
Let a = -4.118 - -0.118. Let j = 1 - 0. What is the second smallest value in 3, a, j?
j
Suppose -4*m = -2*m - 2. Suppose -3*t + 7*t - 6*t = 0. Which is the third biggest value? (a) 2/9 (b) m (c) t (d) -0.3
c
Let z = -652 - -657. Let x be (18/81)/(4/(-6)). Which is the second smallest value? (a) z (b) x (c) 3
c
Let y = 4 + 19. Let f = y - 26. What is the third biggest value in f, -5, 0.3?
-5
Let k(j) = -j**2 + 33*j + 486. Let s be k(44). What is the third smallest value in 2/119, -0.1, s?
s
Let k = -109.94 + 110. What is the third biggest value in 25, k, -5?
-5
Let n = 932 - 931.94. What is the third biggest value in n, 3, -1, -0.1?
-0.1
Let f be (170/(-30) + (-3)/9)/14. Suppose -c - 1 = 4*a - 5, 2*a - 16 = -4*c. What is the third smallest value in -4, f, a, 2/7?
a
Let m = -0.283 + -5.717. Let v = 0.6 - 6.2. Let x = v - m. Which is the third biggest value? (a) 2/11 (b) x (c) 1
a
Let g(o) = 6*o - 15. Let p be g(-9). Let c = -81 - p. What is the third biggest value in 1, 2/15, 2, c?
2/15
Let r be ((-2)/(-8))/(49/(-252)*3). Let x = -0.6 - -0.8. Which is the second biggest value? (a) r (b) x (c) 3
b
Let r = -146.999 + -0.001. Let t = r + 140.9. Let h = t - -6. What is the biggest value in h, 0.1, 0.2?
0.2
Let z = 498 - 498. What is the third smallest value in z, -2/3, -0.3, 3/2?
z
Let f = 199 + -201. Which is the smallest value? (a) f (b) -17 (c) 40
b
Let r = 0 - 1. Let h be (-96)/(-1972) - 17/(-1156)*-8. What is the second smallest value in -0.4, r, h?
-0.4
Let j = 1.795 - 2.35. Let k = -0.155 - j. What is the fourth biggest value in -0.2, 0.3, 3, k?
-0.2
Let h(r) = -2*r + 33. Let w be h(15). Let o be (22/(-12))/(-11)*4/w. What is the biggest value in -1/2, o, 15?
15
Let f = -0.1322 - -0.0722. Let q = 5 - 2. Which is the biggest value? (a) f (b) -5 (c) -1 (d) q
d
Let o = 7.86 - -0.14. Let d = o + -4. Let l = 98 + -103. Which is the biggest value? (a) l (b) 3/7 (c) d
c
Let t = -1081 + 1082. Let o = 319/8 - 40. Which is the third biggest value? (a) t (b) 0.3 (c) 3 (d) o
b
Let d = -0.45 - -0.95. Suppose -5*r + 36 = 4*w + 7, r - 7 = -2*w. What is the third smallest value in w, d, 3?
3
Let u = -214 + 211. Which is the second smallest value? (a) u (b) 6 (c) -1/8
c
Let r = -0.01 - -1.01. Let z = -15.041 - 0.259. Let j = z - -15. Which is the third biggest value? (a) j (b) r (c) -5/6
c
Let t = -15/14 + 89/70. Let g = 191 + -274.5. Let x = g - -83. Which is the third smallest value? (a) 0.3 (b) x (c) t
a
Let g = 5 + 7. Let k be (5 + -6)/((-1)/(3/g)). Which is the smallest value? (a) 1 (b) -2/9 (c) k (d) -0.5
d
Suppose -2*r + 0*r = 0. Let k = 39 + -36. Suppose r = -k*s - 2*m - 5, 4*s = -2*m - m - 8. Which is the third biggest value? (a) 0 (b) -1 (c) s
b
Let r = -307 - -874. Let y = -562.06 + r. Let v = -0.06 - y. Which is the smallest value? (a) v (b) 5 (c) -0.5
a
Let r = -100 + 103. Let g = 0.07 - -4.93. Let v = g - 5.1. What is the biggest value in r, 0.4, v?
r
Let d = -4.3 + 4. Let o be ((-10)/(-6))/((-1)/3). Let z = -14.9 - -12.9. Which is the smallest value? (a) d (b) o (c) z
b
Let n = 646 + -4525/7. Which is the second smallest value? (a) 0.3 (b) -2/3 (c) -2/13 (d) n
d
Let i = 0.172 - -24.028. Let q = 24 - i. What is the biggest value in 1, 0.4, 1/3, q?
1
Let z = 189 - 188.9. Which is the second smallest value? (a) z (b) -10/3 (c) 0.4
a
Let k = -0.5 + 1. Let m = 239.897 - 240. Let y = m - -0.203. What is the third biggest value in k, y, 0.08?
0.08
Let p = -24 - -19. Suppose 4*w + 19 = 5*z - 22, -16 = 4*w. Which is the second smallest value? (a) -2 (b) z (c) p (d) -10
c
Let n be ((-1)/(-6))/((-2)/4). Let j(s) = 137*s - 674. Let g be j(5). What is the smallest value in g, n, 0.4, -2?
-2
Let j = 10 + -13.6. Let s = -4 - j. Which is the third biggest value? (a) 0.3 (b) 2 (c) s
c
Let b = 4.594 + -0.594. What is the third smallest value in b, -3/8, -3/11?
b
Let o = 1.189 - 0.189. Which is the second smallest value? (a) 101 (b) o (c) -0.4
b
Let s = -0.003 + 0.105. Let r = s + -0.002. What is the biggest value in r, 3, 5?
5
Let w = 0.015 + -2.015. Let t = 310.9 + -311. What is the third biggest value in t, w, 0.4, -1/4?
-1/4
Suppose -z - 2*i - 65 = 0, 2*z - 5*i + 59 + 35 = 0. Let l = -3 - z. Let a be (-94)/18 - (-12)/l. What is the biggest value in -7, a, 0.1?
0.1
Let c be (-24)/(-48) - (426/20)/1. Let w = -21 - c. What is the third smallest value in w, -4, -2/7?
w
Let o = -268107/2165 - -16/433. Let i = o + 124. Which is the fourth smallest value? (a) i (b) 2/7 (c) 2/15 (d) -2/9
b
Let d = 0.03 + 2.97. Let i = -5 + d. Let m = -23/9 + 121/45. Which is the second smallest value? (a) m (b) i (c) -1
c
Let j = -22 + 22.2. What is the second smallest value in 3, -4, j, 14?
j
Let b = 652/7 - 93. Let f = 0.02 + 0.07. Let c = f + 0.01. What is the third biggest value in -0.4, b, c?
-0.4
Let x = -37.6 + 38. Let w = -6 + 6. Let j = 0.2 + w. What is the third biggest value in -3, j, x?
-3
Let v(f) = f**3 + 9*f**2 - f + 2. Let i be v(-9). Let y = 10 - i. Let p be 0 + -1 + y + -1. What is the biggest value in 1/7, 5, p?
5
Let p be 1*(18 + 4/1). Let q be -2 + (2 - (-4)/p). Let n = -28/33 - -128/99. Which is the third smallest value? (a) -0.5 (b) q (c) n
c
Let i = 31 + -32. Let t be ((-12)/30)/((-2 - i)/(-5)). Which is the smallest value? (a) t (b) 0.4 (c) 4
a
Let n = 163/3 - 2089/39. Let z = -29639/52 - -570. Let v = z - n. What is the third smallest value in -2/13, v, 1/6?
1/6
Let k be (-175)/399 - (5/(-33) - (-16)/(-88)). Suppose 2*m - 7*m = 0. What is the third biggest value in k, m, -1/7?
-1/7
Let v be ((-48)/(-64))/(3/(-12)). What is the second smallest value in -2/19, -0.3, v, -1.6?
-1.6
Let y = 2/5 + -1. What is the biggest value in 6, 0, y?
6
Let h(p) = -30*p - 98. Let q be h(-3). What is the fourth smallest value in 1, q, 2/5, 0?
1
Let v(f) = -f**2 + 4*f - 8. Let g be v(8). Let y be (-10)/(-12)*12/g. Suppose 4*x = -2*u + 8, 0*u = -x - 4*u + 9. What is the third biggest value in x, y, -6/7?
-6/7
Let g(f) = -f**3 - 2*f**2 - 2. Let j be g(-2). Let w(p) = p**3 - 9*p**2 + 19*p - 82. Let x be w(8). Which is the third biggest value? (a) j (b) x (c) 0.5
a
Let m be (-2596)/2610 + (-6)/(-27). Let n = 5/29 + m. Which is the second smallest value? (a) -3 (b) n (c) -0.2 (d) 3
b
Let y = -38 + 54. Let l = y + -17. Let v = 211 + -207. Which is the third smallest value? (a) -0.3 (b) l (c) v
c
Let m be (3 + -1)*(1 + 9). Let t be 8/(-6)*30/m. Which is the biggest value? (a) 4 (b) t (c) -0.4
a
Let h = 66 + -103. Let d = -38 - h. Which is the biggest value? (a) 0.1 (b) d (c) 5
c
Let v = 424.8 + -425. Which is the smallest value? (a) -0.3 (b) -5 (c) 20 (d) v
b
Let n = 3/28 - 6/7. Let i = -2.67 + 2.8. Let m = 0.13 - i. Which is the smallest value? (a) m (b) n (c) -1
c
Let p be 26 + -21 + ((-2)/6 - 4). Let y = -23 + 23.13. What is the smallest value in -3, y, p?
-3
Let l = -19.2 + 17. Let k = 2 + l. Let f = k + 1.2. Which is the second smallest value? (a) f (b) -2 (c) 1/3
c
Let y = -5.7 - -6. Suppose -5*l + 27 = 11*s - 7*s, 5*l = 2*s + 9. What is the third biggest value in s, y, -4?
-4
Let y = 1.285 + 11.715. Which is the second smallest value? (a) 0 (b) y (c) 17
b
Let i = -19.4 - -19. Which is the smallest value? (a) 5 (b) -1 (c) i (d) -4
d
Let n = 4 + -8. Let o = 6.11 - 6. Let i = 0.39 + o. Which is the smallest value? (a) i (b) n (c) 0.3
b
Let n(k) = k**2 + 11*k + 25. Let v be n(-7). Which is the third smallest value? (a) -2/13 (b) -8 (c) v
a
Let p be (-2511)/1116*(-4)/18. What is the third biggest value in 73, p, 0.03?
0.03
Let p = -712 + 712. | {
"pile_set_name": "DM Mathematics"
} |
of 15/40 + (-4524)/5408 + (0 - (-2155)/4810)?
-1/74
((-336)/(-91))/8 + (-255)/130 + 8/6
-1/6
What is the value of -11 + (-9 - (-15)/3 - ((-11286)/(-40))/(-19))?
-3/20
Calculate 1105/2312 + ((-63)/18 + 3)*24/34.
1/8
Evaluate (-1)/(20/48) - (-1431 + 1417).
58/5
Evaluate 7/((-28)/64) - 714/(-98) - -9.
2/7
What is the value of ((-8)/(-20)*(-20)/6)/((-459544)/6213 + 74)?
-38
What is the value of (-1)/(3/6)*(-234)/1560?
3/10
What is the value of (-660)/(-880) + ((-65)/(-10))/(-1 - 44/12)?
-9/14
Calculate (-163405)/(-59420)*14/11.
7/2
What is ((-88)/(-408))/((-1782)/324)?
-2/51
Calculate (-407535)/11029 - (12 - (54 - 5)).
2/41
Calculate (15*3/(-6))/((-7)/4*(-198)/2772).
-60
9372/429 - -21 - (-10)/65
43
Evaluate 11/(-22)*(3 + 2 + 17) - (5 + 3).
-19
What is (-1267)/(-56) + (1 - 23) + (-4)/(5 - 3)?
-11/8
Evaluate -1 + (-22)/(-10) + -1 + 8*6233/(-920).
-54
Evaluate (-12)/45*(-15)/20 + -9 + 89/10.
1/10
What is the value of (5/(-55) - 4488/(-4114))/((-1)/99)?
-99
Calculate 3360/(-432)*69/460*(-4)/686*-2.
-2/147
Calculate (-11 + -19)*(-16)/(-6)*(-36)/(-72).
-40
10 + 1424/(-1513)*-17 + 1322/(-51)
4/51
What is the value of (5 - (-96)/(-21))*((-7250)/(-261) - 27)?
1/3
561/(-825)*100/850
-2/25
What is the value of -115 - (0 - 52/(-6)*(-20 - (-1147)/62))?
-102
Calculate 2/(-16)*2/54*27.
-1/8
Evaluate 4/(-47 - 17) - (-3 - (-955)/80).
-9
Calculate (-8421)/(-33684) - (-279)/4.
70
Calculate (-12206)/(-272) + (238/(-16) - (-369 + 354)).
45
22 - 75*(-480)/(-1400)
-26/7
Calculate 8 + (-363)/33 + 135/44.
3/44
What is the value of 12/(-15)*6845/194398?
-2/71
Calculate (19 - (-18 - 41))/(-6) + 45.
32
Evaluate (19584/(-392) - (-222)/(-5439))/(1 + 22/(-12)).
60
Evaluate 539/14*(-2 + 300/175).
-11
Evaluate (53893/(-30796))/(-1 + 997/(-4)).
1/143
What is the value of 47790/6195*(-7)/4*-2 - 6?
21
What is (15 - 8 - 39)*(18 + (-333)/18)?
16
Evaluate (-16)/(-28) - 616*(-15)/(-11025).
-4/15
Evaluate ((-4240)/(-901))/80*136.
8
(-70)/(66220/41667) - (0 - (-4)/(-88))
-44
Evaluate -25 - (-9 - (28 + -11)).
1
Evaluate 4 + -9*((-1444)/570 - (-6)/5).
16
9 - 9 - (-920)/23 - -23
63
Calculate ((-34)/289)/((-6060)/(-510) - 6).
-1/50
What is the value of 2/3 + (-15695)/(-172)*(-9)/1215?
-1/108
Evaluate 4/58 - (-23 + 1232/(-638)).
25
Evaluate 1180/(-4130) - (-100)/7.
14
(-184)/115*((-141)/6 + (-12 - (-14 + -4)))
28
Calculate (-5)/(-75)*-5*(-9135)/(-7917).
-5/13
171/133*9800/(-600)
-21
((-2976)/(-132) - (-6)/(-11)) + (-7739)/(-109)
93
What is the value of 386/(-2992) - 118*149/(-149447)?
-1/88
Calculate (10 - (-395)/(-45)) + 16 + (-5491)/342.
7/6
(-8)/62 - 83496/(-739536)
-1/62
Calculate (-33 + (38 - (12 - -1)))*(-42)/(-12).
-28
What is (-6)/21*6/(-20)*7235/(-8682)?
-1/14
Calculate (330/(-1815))/(6/(-550)) + (-8)/(-6).
18
Calculate 1045/121 - 9 - (-19667)/(-3905).
-27/5
What is -27 + 40 + 51 + -31?
33
What is 271766/(-15722) - (-156)/9?
1/21
777/(-25) - (24 - 65/((-11375)/(-4214)))
-31
What is -3*(-9 - (-1224)/135) + ((-306)/45 - -7)?
0
Calculate 8/(-68)*1/2*(-21 - -19).
2/17
Calculate -72 + 6/(-5)*4640/348 - -11.
-77
What is the value of 9848/(-1258) + (-1680)/(-210) + (-2)/37?
2/17
What is the value of (-41)/(-2) - (75 + -2109)/(-113)?
5/2
What is the value of 13140/340 + -23 - (-2 - -18)?
-6/17
((-12)/(-5))/(3*(-220)/5775)
-21
What is the value of (3 - (110/825)/((-1)/(-21)))/((-111)/15)?
-1/37
Calculate (12 + 0)*((-47)/5 + 10)/(4/10).
18
Calculate (-60 + (-14 - -108))*(-1)/(-2).
17
-1 + 2594/81 - 2610/105705
31
(48/648)/((37 + -12)/450)*(-177)/2
-118
What is (-3)/(1692/36 - 74) - 1461/27?
-54
What is ((-64)/(-10))/((-2915328)/(-12480))?
2/73
What is (207/(-46)*(-3)/54)/((-25)/(-5600))?
56
What is the value of 414/21 - (5 + 18 - 2)?
-9/7
((-13)/8463*-31)/(170/(-15) - -9)
-1/49
(9 - (-43)/((-16082)/3410)) + -1*(-672)/6290
-2/185
What is (1/((-60)/18 + 5))/((-4743)/310)?
-2/51
Calculate (13 - 0)/(6251/(-4465)) - -9.
-2/7
Evaluate (-67776)/(-7060) + (-11828)/1230.
-2/123
What is (-33)/(-16) + -2 - ((-32452)/(-3648) - (-285)/(-38))?
-4/3
Calculate (-10035)/2676 + (-245)/(-60).
1/3
What is (2 + -74*(-11)/(-396))*(-468)/(-3224)?
-1/124
What is the value of (1 - (-86)/(-286)) + (30475/253 - 121)?
2/13
What is the value of 2160/54*14/84?
20/3
-3*(-1500)/(-40)*((-1952)/1008 + 2)
-50/7
What is the value of (-124)/1178 - 22/(-418)*(1 + -170)?
-9
Calculate -117*(1540/(-9828) + 16/(-216)).
27
Evaluate (-136)/(-40)*(-680)/(-68).
34
Evaluate (((-6)/10)/1)/((-46 - -27) + 20).
-3/5
((-4536)/(-112) - 3/(-6)) + (4 - -2) + -3
44
Calculate 64792/140976 - 360/528.
-2/9
(105/(-20))/((-182)/1248)
36
What is ((-66)/(-108))/(21340/13095)?
3/8
What is the value of 90/8*107/((-52002)/3240)?
-75
((-14)/5)/((144/90)/(4 + -2))
-7/2
Calculate ((-3)/(-23 + 837/54))/(1*(-1)/105).
-42
What is the value of ((-21)/(-7))/(273/(-1001))?
-11
Calculate -25 - (-714)/30 - (-488)/(-160).
-17/4
(-3752)/39396 - (-2360)/84
28
((129/774)/((-4)/198))/(9/60)
-55
What is (-480)/(-540)*63/(-66)*153/68?
-21/11
(-11 - -10)*(126/(-231) - (1956/22)/2)
45
Evaluate -8 - (-40 - (-41 - -15)) - (-90)/(-13).
-12/13
What is (18/160)/((-6012)/32064)?
-3/5
What is the value of (-2)/(-18)*(60 + -79 + 7)?
-4/3
Calculate (111435/684)/(-115) - (-15)/(-18)*(-3)/(-10).
-5/3
What is the value of (-76890)/(-19602)*-11 - -43?
-4/27
What is 7/(-196)*-238*((-488)/61 - (-5 - 1))?
-17
What is (-121 + 113)/(32/40)?
-10
45 - (3 - (-60)/(-22) - 163386/(-6886))
21
What is 1706/18 - ((-132436)/(-2637))/(-226)?
95
Calculate (54*290/(-9396))/(10/(-258)).
43
What is 15/18*1596/(-380) - 87/(-66)?
-24/11
What is the value of (-50143)/2009 - -109 - 84?
2/49
((-1105)/234)/((-11)/132) - (3 + 21/(-9))
56
What is (-35424)/678564 - 26/(-1339)?
-2/61
((15 + -34 - -15) + (-506)/(-2))/(384/128)
83
What is (-6)/5*(-680)/476*196/12?
28
Evaluate (-5)/7*-13*(-30)/(-975) + 3776/112.
34
(13 + 92/(-8))/(9/276)
46
(6 - 171/27)/((-45)/1485)
11
Evaluate ((-40)/32)/(10/14 - (-21 - 7104/(-224))).
1/8
Evaluate (-10)/65 + ((-17520)/(-312) - 46) - 139.
-129
20 + (-2409)/21*456/2508
-6/7
7 - 10/4*16704/(-1160)
43
What is the value of (261/87)/(56/340) + -18?
3/14
Calculate (-12375864)/590400 + (-20)/(-125) + 21 + 2/(-16).
3/41
Evaluate (-3)/(-15) - (458/(-10) + 21*(-9)/27).
53
Evaluate 728/(-520) + (-36)/10 + -11.
-16
What is the value of (-20)/(-2) + (30 - 54352/1343)?
-8/17
Calculate (-6566)/335*(-30)/63.
28/3
What is (6300/(-39200))/(6/16) - (-582)/(-14)?
-42
What is the value of (-180)/78*17186/(-10576)?
15/4
What is the value of 29*10/6*(-78)/10*5284/(-68692)?
29
Calculate ((-16415)/455 - -36)*(1 + 12/(-3)).
3/13
(((-210)/(-30))/119)/(2/17)*-202
-101
What is the value of -18 - 13/(3016/(-4263))?
3/8
What is (-1 - 1864/6)/((-1162722)/317106)?
85
What is (-4 - 44/(-12))*(155/40)/((-65)/1560)?
31
What is the value of 23264/(-228) + (2/(-2) - ((-30690)/(-2565) + -13))?
-102
What is -20 - (-584)/(-219)*116/(-16)?
-2/3
(-1)/(34/20 + (90 + -88)*(-4)/(-10))
-2/5
Evaluate ((-36)/(-8))/(-3)*(-448642)/(-6663).
-101
What is 1 + 19264/(-364) + 53?
14/13
((-10)/(-25))/((4 - 5)/5 + 3427/11175)
15/4
(-40 + (-8)/(-4))*(22/(-165) - 65/75)
38
Calculate (-780)/1248*(0 - 44/5)/((-4)/(-2)).
11/4
Calculate (-17 - -19) + -6 - 935/385.
-45/7
What is -76*(4/22)/(360/990)?
-38
What is the value of -125 + 119/((-1002813)/(-1053322))?
-1/159
Evaluate ((2 - -29) + -6)/(-1) - (650 + -675).
0
What is -11*(326/(-17930))/(79/(-10))?
-2/79
What is (2/4)/((-14630)/(-1540))?
1/19
What is the value of 612/(-765)*(-1085)/(-28)?
-31
Calculate 90 + (-95304)/1176 - 9.
-2/49
What is (-23)/(-2)*335872/94208?
41
What is the value of 75 - 103/(3399/2728)?
-23/3
((-1008)/6174)/((-120)/42)
2/35
What is 26/(-520)*3260 - -57?
-106
What is the value of -69 + 86 + 47*4/((-6)/3)?
-77
Evaluate (-1 + 3 - -308)/(315 - 310).
62
What is the value of 9 + -97 - (-563 + 498)?
-23
(2 + 0)*2 + -58 + 379/7
1/7
What is the value of (-1 + 0 - (26 - (-710)/(-30)))*2178/(-165)?
44
Evaluate (0 + -92)*(48 - -17)/(-455) - 12.
8/7
Calculate 4368/35 - (-232)/3770*52.
128
Calculate (-1 + 5)/(50850/(-55935)).
-22/5
Evaluate (-22)/209*14/((-70)/2945).
62
Evaluate (-47552)/743 - (-2 + -23).
-39
Evaluate (110/132)/(((-18)/(-16))/((-1885)/(-58) + -34)).
-10/9
What is (-1 - -16 - (9 + 1080/100))*10?
-48
What is (-27 - 6732/(-216))*(-2)/60 - (-5)/20?
1/9
(-8032)/(-3458) - | {
"pile_set_name": "DM Mathematics"
} |
t u be 1/v*4/(-2). Which is smaller: 0 or u?
0
Let h = -4 + 2. Let m = -0.28 + -0.72. Let r = m - h. Which is smaller: r or -2/7?
-2/7
Let p = 11 - 7. Which is bigger: 13/5 or p?
p
Let j = -9 + 11. Which is greater: j or 6/7?
j
Suppose 3*a = -p - 5, -4*p - 3*a - 1 = 1. Let v be (3 - 2) + (-7 - 0). Let w be (p/(-3))/((-2)/v). Are w and 5/2 unequal?
True
Suppose 134 - 78 = 4*m. Is m less than 14?
False
Let l(j) = -j**3 + 5*j + 4 - 3*j**2 + 0*j**2 - 3*j. Let w be l(-3). Are w and -1 equal?
False
Let r be -3 - (4/4)/1. Let f = r - -3. Is -2/5 at least as big as f?
True
Let u(r) = r**3 + 2*r**2 - 3*r + 1. Let h be u(-3). Let q = -3 + h. Is q equal to -4?
False
Let s be (-1*(-4)/(-3))/((-12)/18). Is 2 at most as big as s?
True
Suppose -4 = c, 2*c + 92 = -6*s + 2*s. Is -98/5 less than s?
False
Suppose 5*l + 3*w - 2*w - 58 = 0, -4*l + 44 = 2*w. Let z be (-1000)/(-28) - (-2)/7. Let x be l/16 - 19/z. Which is bigger: x or -1?
x
Let r = -0.3 - -0.2. Let h = r - -0.3. Is h > 3/4?
False
Let j be (-2 - (-18)/15)*10. Is j bigger than -8?
False
Let o(x) = -x**2 - 6. Let n be o(0). Is n < -11/2?
True
Let d be -1*(-1 - (-2)/2*-4). Which is bigger: 6 or d?
6
Let z = -57 + 58. Is 0 at most as big as z?
True
Let c = -1.16 - -1.1. Is c at most as big as 0.8?
True
Let w = 0.1 + -0.1. Let s = 5 - 5.1. Let b = s - w. Is -3 greater than b?
False
Let a = 3755/12 + -1517/4. Let n = -155/12 + a. Let v = n - -80. Which is smaller: v or 1?
v
Suppose 12*i - 10 = -22. Let j = 223/663 - 20/39. Which is smaller: i or j?
i
Let x = 49 + -60. Which is smaller: -14 or x?
-14
Let p be (10 - 6) + (2 - 162/26). Which is smaller: p or 0?
p
Let x = -98616857/31 + 3180550. Let h = x - -639. Let s = h - -36/403. Which is greater: 1 or s?
1
Let j = 0.4 + -0.4. Let n = -4.1 + 4. Let g = 0.2 + n. Is j less than g?
True
Suppose -3*a - 4*q - 18 = q, q = 3*a. Which is bigger: a or -9/4?
a
Let r be (0/(-5))/(0 - -1). Suppose -2*v - 2*v = -j - 22, r = 2*j - v + 16. Let u be (-5)/(20/j)*2. Is u equal to 4?
False
Suppose 5*y + 4*d = 4, -4*y - 4*d = -4 - 0. Let a = y - -2/5. Let c(k) = k**2 + 4*k + 1. Let z be c(-4). Which is smaller: z or a?
a
Suppose -2*m = -4*m + 4*q + 20, 22 = 5*m - 3*q. Let s = -27 - -19. Which is smaller: m or s?
s
Let y = -16 - -21. Which is greater: y or -0.3?
y
Let k be 0 - ((-4)/(-1))/4. Is k at most -1/24?
True
Let u be -1*((-14)/(-13))/1. Let o = 124/91 + u. Is 2/13 at most o?
True
Let g be (1 + 1)/(-10) - (-5 - 0). Which is greater: 5 or g?
5
Let g = -21/34 + 2/17. Is -3/4 bigger than g?
False
Let d(q) = q**2 + 2*q - 13. Let m be d(-3). Is -9 not equal to m?
True
Let n = -5 - -3. Let s be 2/n*(0 - 1). Let w = 2 - 1. Is s < w?
False
Let d be 184/520 - (-2)/(-13). Let c be 10/45 + (-4)/18. Which is smaller: d or c?
c
Let o(p) = 2*p - 41. Let m be o(21). Is -3 at most m?
True
Suppose 0 = 2*m - 2*l - l - 27, 6 = -2*l. Suppose 1 = -2*d - m. Let x be ((-2)/8)/(5/d). Which is greater: -1 or x?
x
Let o = 64 + -68. Suppose y = -3*k - 6, -4*k - 2*y - 8 = -0. Is o equal to k?
False
Suppose -81 = 6*j - 9. Is j at least as big as 1?
False
Suppose 0 = -3*l + 2*l, 0 = -3*g - 5*l + 6. Suppose -g*b = -3*i - 0*i - 10, 0 = 5*b - 5*i - 35. Which is smaller: b or 10?
10
Let x = 34317/1885 + -2/377. Suppose -5*z - 56 = 3*w + 25, 5*w = 5*z + 105. Let n = x + z. Is n greater than 0?
True
Let s = -2 - -2. Suppose 0 = -5*t - 2*c - 8, s = 2*t + 2*t - 5*c + 13. Suppose -2*q = -4*i + 2, 2*i - 6 - 15 = 5*q. Is i greater than or equal to t?
True
Suppose -d - d = -4. Let t be (8/12)/(d/(-9)). Is t != -2?
True
Let p = -623/51 + 37/3. Is 0 greater than or equal to p?
False
Suppose -63 = -27*u + 20*u. Which is bigger: u or 11?
11
Let u = 34750017 - 159016078483/4576. Let w = u + -1/352. Are -1 and w non-equal?
True
Let b = -48 + 54.1. Let v = b - 6. Do v and -2/25 have the same value?
False
Let o = -17 - -17.3. Let q be 3/69*(0 - -6). Let v = q - 41/69. Which is smaller: o or v?
v
Let s(j) = -2 + 4*j**2 + 3*j**3 - 3*j - 4*j**3 + 0*j**2 + 3. Let t be s(3). Which is smaller: 2/15 or t?
2/15
Let q(h) be the first derivative of -h**4/4 - 8*h**3/3 + 9*h**2/2 - 4*h - 4. Let a be q(-9). Suppose -2*y + y = 3. Are a and y equal?
False
Let u = -450 - -3156/7. Let p(x) = -x**3 - x**2 + 1. Let y be p(-1). Which is smaller: y or u?
u
Let v = -11 - -8. Let z be 6 + 2 + v + 2. Is 7 greater than z?
False
Let r be (-1)/(-25)*46 + -2. Let v be 6*(-8)/12 + 4. Which is smaller: r or v?
r
Let w(r) = r**2 + 2*r - 5. Let v be w(-6). Suppose -5*d + 24 = 2*n - v, 3*n = -4*d + 47. Let m(a) = -a + 7. Let g be m(n). Is -2 smaller than g?
False
Let v be (0 - -10)*-1*1. Let f be (18/15)/((-3)/v). Let d be f - 0 - 2*1. Which is smaller: d or 2/3?
2/3
Let p(n) = n**3 - 13*n**2 - 11*n - 13. Let t be p(14). Let m = t + -88/3. Which is bigger: m or -3?
m
Suppose 2*f - 5 = 5. Suppose -2*v = -f*s + 19, 4*s + 12 = -3*v + 6*s. Are -4 and v equal?
False
Let f = 0.5 + 3.5. Suppose -3*h - 3*w - 9 = 2*w, 5*h + 2*w - 4 = 0. Let y be (h - 4/6) + -1. Which is smaller: f or y?
y
Suppose 8 + 0 = 4*w. Suppose w = 2*h, 0 = 3*l - 6*h + 2*h - 47. Is l bigger than 16?
True
Let z = -7 - -10. Suppose -z = -2*d - 3*w, 5*d - 5*w = 1 - 6. Let q = 12 + -34/3. Is d smaller than q?
True
Let v(k) = k - 3. Let m be v(3). Suppose -5*q = -4*l + 175, 18 + 25 = l - 2*q. Let f be 174/l - (-1 + 5). Is f at least as big as m?
False
Let g = -0.2 - -0.1. Let k = g + 4.1. Let z = k - 4.2. Which is greater: z or 0.1?
0.1
Let t be -3 + (-1 - -6) + -2. Suppose 0 = 3*s + 3, t*d + 5*s - 7 = -3*d. Is 4 != d?
False
Let x be (17 - 15)/(4/(-2)). Are x and 1 equal?
False
Let h = 14 - 7. Let z(k) = -k**3 + 6*k**2 + 9*k - 8. Let p be z(h). Suppose s = p*s. Is s less than 2/9?
True
Suppose l + 8 = 5*l. Suppose -l*g - 3*d - 2 = 4, 5*g - 2 = d. Suppose 3*o + g = 3. Is 5/3 greater than o?
True
Suppose 11*t - 4 = -3*j + 6*t, 0 = -4*j - t - 6. Let n = 2 + j. Let w be 6/18 + n/(-2). Which is greater: -1 or w?
w
Let s = 52 + -50. Let q be (-1*3/1)/(-1). Is q < s?
False
Let w(l) = l - 5. Let q be w(5). Is q less than -2/3?
False
Suppose -3*f + 52 = 5*q, 28 = 2*f - 0*f + 5*q. Let n be (-6)/f + 1/4. Let r be (4/(-21))/((-6)/7). Is n equal to r?
False
Suppose 3*k - 41 = 2*h, -3*h - 22 = -2*k + h. Is k > 12?
True
Let d(f) = 16*f**2 + f. Let i be d(-2). Let y = -121/2 + i. Is 2/7 smaller than y?
True
Let r = -99 + 100. Let x = 0.6 - 0.3. Which is bigger: r or x?
r
Let m = 473/133 - 92/19. Is -1 less than m?
False
Let w = 7 - 4. Let j = -1 - w. Is j <= 2?
True
Let d be 3 - (0 - 12/(-4)). Is -6/13 < d?
True
Let z = 15 - 5. Let m = z - 12. Is -1 <= m?
False
Suppose 0 = -0*o - 5*o + 30. Let d(a) = a**3 - 2*a**2 + a. Let s be d(2). Suppose -20 + 8 = -s*j. Do j and o have the same value?
True
Let f(d) = d - 8. Let u be f(9). Which is bigger: -3/11 or u?
u
Let f = -0.13 + 0.03. Suppose 11*k + 9 = 2*k. Are k and f non-equal?
True
Let c = 277.99 - 280. Let r = -2 - c. Which is bigger: r or 0?
r
Let o = -2 - -4. Let y be 2*(1/2 - o). Let f = -2.5 - -2.7. Is f at least as big as y?
True
Let r(h) = h**3 + 2*h**2 + 2*h + 3. Let x be r(-3). Let a be (x/14)/((-2)/14). Which is smaller: 7 or a?
a
Suppose 5*y + 22 + 8 = 5*o, 0 = 3*o + 4*y + 3. Let p be (24/(-9))/((-4)/6). Which is smaller: p or o?
o
Suppose -3*y + 5*m - 17 = 0, -5*m + 16 = -0*y - 4*y. Are y and 1 equal?
True
Let w = 7/4 - 25/12. Let q = -4 + 4.1. Do q and w have the same value?
False
Suppose 12 = 4*h - 0*h. Suppose 4*q - h - 3 = r, 0 = -3*q - 3*r - 3. Which is bigger: 2 or q?
2
Let d = -29/2 - -14. Is -0.02 at least d?
True
Suppose -5*u + u + 120 = 0. Let o be -194*(-3)/u*-4. Let g = o - -78. Are 1 and g unequal?
True
Let g be (-2)/(-70) + 3 + -3. Let o = 32/105 + g. Which is greater: o or 1?
1
Let r be 3/(-18) + 34/(-12). Is r equal to -3/2?
False
Let i = 33 - 34. Which is bigger: i or 3/13?
3/13
Let o = -548 + 3097/6. Let d = o + 31. Which is greater: -2 or d?
d
Suppose -5*m - 135 = -5*g, -102 = 4*m - 0*g - g. Do m and -25 have the same value?
True
Let h(y) = 2*y - 8. Let d be h(8). Suppose 53 = 4*u - k, -3*u + 0*u - 3*k + 21 = 0. Suppose 4*o - 3*c = u, -d - 1 = -3*o + 2*c. Is 3 not equal to o?
False
Let a be 3 + 0 - (3 + 0). Which is bigger: a or 1/4?
1/4
Let d be 15/12 - (-3)/(-12). Let o = -2 + d. Is -2 at least o?
False
Let d = -0.3 - -0.5. | {
"pile_set_name": "DM Mathematics"
} |
c - x*c = 28. Calculate the greatest common factor of 7 and c.
7
Suppose g + 14 = 32. What is the highest common divisor of g and 126?
18
Let c be 4/((-16)/(-12)) - -1. Calculate the greatest common divisor of 28 and c.
4
Suppose 2 - 6 = -2*d - 5*s, -5*d + 4*s = -10. What is the highest common factor of 14 and d?
2
Suppose 8*k = 3*k + 15. Suppose -v - 7 = 2*p, 2 + 33 = -5*v + 5*p. Let z = v + 40. What is the greatest common factor of k and z?
3
Suppose -2*j - 2 + 8 = 0. Let n be (-3)/9 + 7/j. Calculate the highest common factor of n and 10.
2
Suppose 5*l - 4*n + 45 = n, 2*n = 4*l + 42. Let z be (-1 - 57/l)*12. Let u be (-71)/(-4) - 1/(-4). Calculate the highest common factor of u and z.
9
Let k be 2 - (-5)/(15/18) - -2. Let q(f) = 3*f**2 + 5*f - 2. Let r be q(3). Calculate the greatest common factor of r and k.
10
Let h be 18*(-2)/(-3)*2. Let b(s) = -542*s - 3. Let j be b(-2). Suppose 0*k = 4*k - 5*m - j, 0 = -k + m + 269. Calculate the highest common divisor of k and h.
24
Suppose 2 = -4*g + 6. Calculate the greatest common divisor of 4 and g.
1
Let z = 0 - -8. Suppose -3*m - m + 2*l = 0, 0 = -m + 5*l. Suppose 2*b - 3 + 1 = m. Calculate the highest common divisor of z and b.
1
Suppose -10 = -2*v, c - 2*c = -2*v. What is the greatest common factor of 10 and c?
10
Suppose 2*o + 86 = 3*c, 7*c + 3*o = 2*c + 137. Calculate the highest common divisor of c and 364.
28
Let o be (-4)/18 + (-195)/(-27). Let b(w) = -2*w + 1. Let c be b(-2). Suppose 2 = -j, -3*j - 71 + 450 = c*t. Calculate the highest common factor of o and t.
7
Let p(k) = 25*k**2 - 3*k + 3. Let n be p(1). What is the greatest common divisor of 325 and n?
25
Let x = 0 + -11. Let j = -7 - x. Let p be (14/j - 0)*2. Calculate the highest common divisor of 28 and p.
7
Let l(s) = -s**3 + 10*s**2 - 8*s - 18. Let h be l(9). Let o be (-6)/h*(-117)/(-2). Calculate the greatest common factor of 13 and o.
13
Let o be ((-10)/40)/(2/(-40)). Calculate the highest common factor of o and 35.
5
Suppose -6 - 12 = 3*v. Let u(i) = 13*i - 2. Let y be u(v). Let l = -56 - y. Calculate the highest common factor of l and 12.
12
Suppose -48 = -5*k + i, -i - 3 = -2*k + 15. Suppose 225 = 3*m + b - 6*b, -365 = -5*m + 5*b. Calculate the greatest common factor of k and m.
10
Let i = 4 + -2. Suppose i = -3*z - 2*x, 0*x + 5 = 5*z - 5*x. Suppose 3*v + 4 - 1 = z, 5*f = -4*v + 16. Calculate the highest common factor of f and 1.
1
Let r(l) = l**3 - 5*l**2 - 5*l - 6. Let g be r(7). What is the highest common factor of 38 and g?
19
Let o = -8 + 2. Let w = -13 - o. Let u be 1390/14 - (-2)/w. Calculate the highest common factor of u and 11.
11
Let s(u) = 4*u**2 + 6*u + 6. Let q be s(-5). Suppose q = 5*w - 4. Let j be 6/(-6*2/(-8)). What is the highest common divisor of w and j?
4
Suppose c = -3*b + 46 + 29, 3*b = 2*c - 195. Calculate the greatest common factor of 54 and c.
18
Let s = -19 - -27. What is the highest common factor of s and 4?
4
Let r = 45 - 9. What is the greatest common factor of r and 12?
12
Let o(s) = s**2 + 15*s - 5. Let f be o(-8). Let z = -40 - f. What is the greatest common divisor of z and 14?
7
Let b(t) = t - 5. Let p be b(9). Let k(y) = y + 11. Let g = -11 - -6. Let s be k(g). Calculate the greatest common divisor of s and p.
2
Suppose -4*l + 62 = -0*l - 3*p, 0 = -2*p - 4. Let j = 62 + -20. What is the greatest common divisor of l and j?
14
Suppose 16 = 2*o + 5*f, -o + 2*f = 3*o - 80. Let u be (56/6)/(6/o). What is the greatest common divisor of u and 42?
14
Suppose -h - h = -3*g + 9, -4*h = -3*g + 9. Calculate the highest common factor of 15 and g.
3
Let y = -27 - -30. Calculate the greatest common factor of 15 and y.
3
Suppose -z = -5*x - 70, 3*x = 7*z - 8*z + 70. Let r = 11 - 1. Calculate the greatest common factor of z and r.
10
Suppose 6*w - 2*w = -x + 9, 5*w - 11 = -x. What is the highest common factor of 1 and w?
1
Let k(b) = b**2 + 2*b - 1. Let g be k(1). Suppose -g*i = 2*t - 24, -3*i + t = 2*t - 32. Suppose -h + 80 = h. What is the greatest common divisor of i and h?
10
Suppose -14*m + 12*m = -42. What is the highest common factor of m and 3?
3
Let p be (-124)/(1 - 0/(-1)). Let f = p + 208. Calculate the highest common factor of f and 21.
21
Let w = 2 + 17. Let n(r) = -50*r + 2. Let q be n(-3). What is the highest common factor of q and w?
19
Let a = -62 + 146. What is the highest common divisor of a and 12?
12
Let o = -43 + 11. Let c be (2 + o)/(4/(-10)). What is the highest common factor of 25 and c?
25
Suppose t = 4*j - 15, 3 + 15 = 2*t + 4*j. Calculate the highest common divisor of t and 13.
1
Let n be 20/(-5)*(-3 + 1). Let v = 31 + -6. Suppose -4*g + v = -263. What is the greatest common divisor of n and g?
8
Let f = 110 + -59. Let h be (2 - -1)/(-6 - (-735)/119). Calculate the greatest common factor of h and f.
17
Let b be 3*((-12)/3 - -5). Let m(k) = 10*k + 5. Let v be m(b). Let s = 4 - -10. Calculate the highest common divisor of v and s.
7
Let g = 24 + -18. Calculate the greatest common factor of 12 and g.
6
Let i be (-11 + (-6)/(-2))*-2. Calculate the highest common divisor of i and 176.
16
Let i be (-1 + 18)*4*5. Suppose 0 = 5*l + 4*z - 2452, -l - 3*z + 369 = -117. Let q = l - i. What is the highest common divisor of 19 and q?
19
Suppose -2*f + 4 = 6. Let q be -3 + 1 - f - -86. What is the greatest common divisor of q and 34?
17
Suppose n - 20 = -4*n. What is the highest common factor of n and 36?
4
Let g(p) = 5*p - 5. Let t be g(2). Calculate the greatest common divisor of t and 35.
5
Suppose 5 = -2*z + 4*t - 5, 2*t = 8. Let r be (6/(z + 0))/1. What is the greatest common divisor of 16 and r?
2
Suppose 4*s - 97 = -9. Calculate the greatest common factor of 66 and s.
22
Let q(y) = y**2 + 2*y - 7. Let a be q(3). Calculate the highest common factor of a and 8.
8
Let r(o) = -o**3 - 2*o**2 + 7*o - 2. Let s be r(-4). Calculate the greatest common factor of 26 and s.
2
Let s = 36 + -24. Calculate the greatest common divisor of 84 and s.
12
Let j be 22/10 + 60/75. What is the greatest common divisor of j and 3?
3
Suppose 2*z + 4*z - 90 = 0. What is the greatest common factor of z and 60?
15
Let k = 35 + -21. Let r = -36 - -162. What is the highest common divisor of r and k?
14
Let r be 8/30*10/(-4)*-24. What is the highest common divisor of r and 16?
16
Suppose 4*r - 244 + 8 = 0. Suppose -r = -4*a - b, -2*a + 3*b + 42 = b. Calculate the greatest common factor of a and 16.
16
Let o be ((-40)/(-14))/(28/98). Calculate the greatest common factor of o and 10.
10
Let n(a) = 2*a - 9. Suppose 4*z - 4 = 0, -5*u + 14 = 3*z - 39. Let d be n(u). What is the highest common factor of 55 and d?
11
Let t be 108*((-3)/3)/(-2). Let a = -86 + t. Let w = 70 + a. Calculate the greatest common factor of w and 19.
19
Let w(a) = -7*a - 7. Let l be w(-3). Calculate the greatest common factor of l and 21.
7
Let d = 239 - -69. What is the greatest common divisor of 28 and d?
28
Let u(c) = -49*c - 2. Let x be u(-2). Let b = -8 - 4. Let k = b + 24. Calculate the highest common factor of k and x.
12
Let x be (-2)/3 - 7/3. Let y be (-11)/x - (-3)/9. Calculate the greatest common factor of 20 and y.
4
Let w(r) = 4*r**3 + r**2. Let s be w(1). Suppose s*f - 28 = -2*o, 7 = 2*o + 2*f - 21. What is the greatest common divisor of 2 and o?
2
Suppose 2*k + 2*k - 36 = 0. Suppose 2*i - 2 - 5 = -3*u, 2*u = -4*i + 2. Let r = u + 3. Calculate the highest common factor of r and k.
3
Let m = -410 - -275. Let h be (m/6)/(2/(-4)). Let l = 55 - 37. What is the highest common factor of h and l?
9
Let n(x) = -2*x**2 - 25*x - 8. Let p be n(-12). What is the highest common divisor of p and 16?
4
Let s(c) = c**3 + 4*c + 3. Let l be s(-2). Let q = l + 21. What is the greatest common factor of 8 and q?
8
Let c be (-3)/((-9)/12) - 1. Suppose 2*g = b + 22, 47 = 3*g - b + c*b. Suppose k = 4*a - g - 36, 5*k - 43 = -4*a. What is the highest common factor of a and 2?
2
Let b = -20 - -36. Let u = -1 + b. Suppose -5*a + 495 + 30 = 0. What is the greatest common divisor of u and a?
15
Let m(q) = q + 7. Let v be m(7). What is the greatest common factor of 14 and v?
14
Let x be 13*2*(-2)/(-2). Suppose -2*b + h + x = 6*h, 15 = b + 3*h. What is the highest common factor of b and 30?
3
Let r(z) = 4*z - 17. Let o be r(18). Calculate the highest common divi | {
"pile_set_name": "DM Mathematics"
} |
p*b(j) - 2*o(j).
2*j**3 + 2*j**2 - 4
Suppose -61 = 12*c + 23. Let w(n) = -23*n - 27*n + n**2 + 47*n - 13. Let t(z) = z**2 - 2*z - 9. What is c*t(j) + 5*w(j)?
-2*j**2 - j - 2
Let k(q) = 7*q**3. Let t = -18 + 23. Let a(b) = -3*b**3 + 3*b**2 - 5*b. Let c(r) = 5*r**3 - 5*r**2 + 8*r. Let v(x) = t*c(x) + 8*a(x). Give k(m) - v(m).
6*m**3 + m**2
Let r(v) = -13*v**3 - 57*v**2 + 9*v + 9. Let a(s) = -6*s**3 - 28*s**2 + 4*s + 4. Let l(g) = 127*g - 753. Let q be l(6). Give q*a(d) - 4*r(d).
-2*d**3 - 24*d**2
Let l(t) = -12*t**2 - 960*t - 14. Let z(v) = -10*v**2 - 966*v - 11. Calculate -4*l(p) + 5*z(p).
-2*p**2 - 990*p + 1
Let r(q) = 5*q + 3. Let w(y) = -y - 1. Suppose 776*g + 408 = 742*g. Give g*w(s) - 3*r(s).
-3*s + 3
Let f = -2138 + 2135. Let m(c) be the third derivative of -c**5/20 + 5*c**4/24 - 5*c**3/6 - 3*c**2. Let a(z) = z**2 - z + 1. Determine f*m(r) - 15*a(r).
-6*r**2
Let h(u) = u**2 + u - 8. Let d(q) = -48*q + 384. Determine -5*d(n) - 240*h(n).
-240*n**2
Suppose -6*t = -10*t + 14*t - 20. Let n(w) = 14*w**2 - 3*w - 2. Let y(u) = -u**3 + 43*u**2 - 10*u - 7. Give t*y(x) - 7*n(x).
-2*x**3 - 12*x**2 + x
Let v(f) = -289*f**2 - 27*f - 37. Let u(c) = 48*c**2 + 5*c + 6. Determine -25*u(b) - 4*v(b).
-44*b**2 - 17*b - 2
Let l(o) = -o + 236. Let k(t) = t - 9. Give -2*k(w) - l(w).
-w - 218
Let b be (-56)/(-84) - (-102)/(-18). Let d(q) = q**2 + q - 1. Let u(t) = 7*t**2 + 5*t - 4. Give b*d(z) + u(z).
2*z**2 + 1
Let u(a) = -806*a - 93. Let b be 17 - 2 - (54 - 43). Let q(h) = -35*h - 4. Give b*u(t) - 93*q(t).
31*t
Let u be (-4)/10 + (-1140)/150 + 10. Let p(a) = -5*a**3 - 2*a**2 + 4*a + 2. Let b(c) = 9*c**3 + 5*c**2 - 9*c - 5. What is u*b(r) + 5*p(r)?
-7*r**3 + 2*r
Let i(b) = 38*b - 4. Suppose 38*u + 55 + 17 = 110*u. Let s(j) = -j + 1. Give u*i(l) + 4*s(l).
34*l
Let b(q) = -2*q**2 - 6*q + 7. Let j(r) = -14*r**2 + 42*r - 61. Let g(s) = 2*s**2 - 7*s + 10. Let n(u) = 13*g(u) + 2*j(u). What is -5*b(o) + 4*n(o)?
2*o**2 + 2*o - 3
Let m(p) = -2*p**3 + 8*p + 6. Let l(o) be the second derivative of 2 + 0*o**4 + 19*o + 1/10*o**5 - 5/2*o**2 - 7/6*o**3. Give 6*l(n) + 5*m(n).
2*n**3 - 2*n
Let i(p) = 13*p - 1. Let n(q) be the second derivative of -7*q**3/6 - 12798*q - 5. Suppose 5*y = 4*x, y - 7 - 7 = -2*x. Give x*n(h) + 2*i(h).
-9*h - 2
Let t = 4317 + -4314. Let c(p) = p**2 + 2. Let s(o) = o**2 - o. Give t*s(y) - c(y).
2*y**2 - 3*y - 2
Let y(s) = -35*s. Let k(z) = 22*z. Let p(q) = 46*q. Let h(l) = 4*k(l) - 2*p(l). Determine -55*h(m) + 6*y(m).
10*m
Let c(l) = -1. Suppose -2*t - 3 = -5*t. Let r be (-6)/(10/5) + (2 - -3). Let f(i) = -2*i - 41 + i + 80 - r*i - 21. What is t*f(b) + 18*c(b)?
-3*b
Let n be (((-230)/(-4))/23)/(2/(-4) - -1). Let a(b) = 4*b**2 - 5*b - 3. Let j(c) = 3*c**2 - 4*c - 2. What is n*a(v) - 6*j(v)?
2*v**2 - v - 3
Let b(t) = -2*t**2 + 12*t. Let r(u) = u**3 + 3*u**2 - 11*u - 3. Let v be r(-5). Let h(c) = 3*c - 4*c + c**v - 4*c + 4*c - 3*c. Give 3*b(q) + 8*h(q).
2*q**2 + 4*q
Let x(q) = q**2 + 4*q + 6. Let l(f) be the third derivative of 1/3*f**3 + 1/24*f**4 + 0 + 0*f - 13*f**2. Calculate 7*l(b) - 2*x(b).
-2*b**2 - b + 2
Let k(n) = -n**2 + 1. Let m = 3 - 4. Let l(x) = -5*x**2 - 4*x + 3. Let h be (483/138)/(30/16 + 6 + -7). Determine h*k(v) + m*l(v).
v**2 + 4*v + 1
Let c(u) = -55*u - 1. Let x(d) = 32*d. Let y(t) = 3*c(t) + 5*x(t). Let l(o) = 14*o + 10. What is -3*l(j) - 10*y(j)?
8*j
Let w(h) = 3*h**2 - 4. Let k be (2/4)/((-3447)/432 + 8). Let p = 28 - k. Let y = -9 + 12. Let i(f) = -2*f**2 + 3. Calculate p*i(z) + y*w(z).
z**2
Let u(k) = 9*k**2 + 12*k - 36. Let b(g) = -36*g**2 - 50*g + 149. Determine -2*b(m) - 9*u(m).
-9*m**2 - 8*m + 26
Let q be (3 + 30/(-12))*8. Suppose -29*s = q*s + 429. Let m(j) = -5*j. Let y(t) = -11*t. Calculate s*m(h) + 6*y(h).
-h
Let u(z) = z + 1. Let l(y) = y + 4. Suppose -4*p + 8 = 2*b - 8, 0 = 5*p - 20. Suppose 2*r - 3 = k + 4*k, b = 4*k + r - 8. Determine k*l(s) - 2*u(s).
-s + 2
Let u(w) = w**3 + 2*w**2 + 6*w. Let a(l) = -536*l**3 + 9*l**2 + 29*l. Calculate -a(i) + 5*u(i).
541*i**3 + i**2 + i
Let u(l) = -3034*l + 31. Let r(g) = -9095*g + 88. Calculate 6*r(b) - 17*u(b).
-2992*b + 1
Let w(c) = c**2 + 261*c + 2. Let u(f) = -2*f**2 - 266*f - 3. Calculate 4*u(l) + 5*w(l).
-3*l**2 + 241*l - 2
Let t(m) = 9*m**2 + 7 + 7*m + 3 - m - 4. Let n(i) = 9*i**2 + 5*i + 5. Suppose 0 = 89*h - 49*h - 36*h - 20. Calculate h*t(d) - 6*n(d).
-9*d**2
Let h(l) be the first derivative of 5*l**2/2 - 5*l + 2517. Let d(p) = 1. Determine 6*d(g) + h(g).
5*g + 1
Let p(s) = 771*s**3 + 91*s**2 - 32*s - 4. Let z(g) = 193*g**3 + 21*g**2 - 8*g - 1. Give 3*p(o) - 13*z(o).
-196*o**3 + 8*o + 1
Let o(p) = p - 2. Let r(d) = 28 + 27 - 54 - d + 670*d**2 - 669*d**2. Let a = 4 + -3. What is a*o(v) + 3*r(v)?
3*v**2 - 2*v + 1
Let u(g) = 3*g**2 + 733*g + 80. Let i(f) = f**2 + 364*f + 34. What is -7*i(z) + 3*u(z)?
2*z**2 - 349*z + 2
Let z(s) = 40*s - 1. Let j(t) = -6*t - 1. Calculate 6*j(c) + z(c).
4*c - 7
Let x(u) = 6*u**2 - 6*u + 3. Let o(s) = 7*s**2 - 5*s + 2. Suppose -b = 4*v - 3, 37*b - 4*v - 3 = 36*b. Determine b*x(d) - 4*o(d).
-10*d**2 + 2*d + 1
Let y(m) = 5*m + 2. Let k(u) = -u. Let v be 12*(12/(-9) - -1). Let z(w) = -w**3 - 5*w**2 - w - 11. Let c be z(-6). Let q = -32 + c. Calculate q*y(j) + v*k(j).
-j - 2
Let b(q) = q**2 - q. Let d(n) be the third derivative of n**6/40 + n**5/15 - n**4/8 + n**2 - 18*n - 31. Calculate -4*b(s) + d(s).
3*s**3 + s
Let v(n) = 12631*n + 6. Let o(m) = -4256630*m - 2023. Determine 6*o(r) + 2023*v(r).
12733*r
Let n(l) = 51*l**2 - 12*l + 69. Let h(c) = -62*c**2 + 14*c - 68. Calculate 6*h(u) + 7*n(u).
-15*u**2 + 75
Let m(r) = 4*r - 3. Let t(d) = 5220*d - 2610. Give 870*m(g) - t(g).
-1740*g
Suppose 21 = -3*i + 6*k - 9*k, 0 = i + 3*k + 7. Let n(x) = -42*x**3 - 10*x**2 - 3. Let h(u) = 14*u**3 + 3*u**2 + 1. Give i*h(w) - 2*n(w).
-14*w**3 - w**2 - 1
Let j(o) = 1. Suppose -186*d + 191*d - 5 = 0. Let r(h) = 16*h**2 + 24. Calculate d*r(v) - 24*j(v).
16*v**2
Let h(p) = -23*p**2 + 3*p - 10. Let c(d) = -2*d**2 + 2. Give -4*c(r) + h(r).
-15*r**2 + 3*r - 18
Let j(z) = -z + 1574. Let n(b) = -2*b + 1589. Determine 4*j(x) - 3*n(x).
2*x + 1529
Let k(l) = 5*l + 88. Let x(n) = 5*n + 64. What is 2*k(f) - 3*x(f)?
-5*f - 16
Let a(s) be the second derivative of 0 + 1/24*s**4 + 1/2*s**3 - 12*s**2 + 11*s. Let j(c) be the first derivative of a(c). Let x(i) = 4. Give 4*j(d) - 3*x(d).
4*d
Let j(k) = 416*k - 179. Let i(f) = -104*f + 44. What is 9*i(a) + 2*j(a)?
-104*a + 38
Let j(p) = 4*p**2 - 8. Let r = 0 + -2. Let q(k) be the third derivative of 11 + 0*k**4 + 1/60*k**5 + 0*k + k**2 - 1/3*k**3. Determine r*j(u) + 9*q(u).
u**2 - 2
Let k(l) = 91*l - 469. Let r(x) = x - 14. Determine -k(t) + 35*r(t).
-56*t - 21
Let d(j) = -11*j**2 + 9*j + 4. Let i(y) = y**2 + 7*y - 21. Let f be i(-11). Let u = -19 + f. Let t(m) = -9 - u*m + 11 + 5*m**2 - 4. Determine -3*d(l) - 7*t(l).
-2*l**2 + l + 2
Let z(y) = 9*y**3 + 5*y + 5. Let q(f) = -13*f**3 - 6*f**2 - 2*f - 14. Let x(j) = 10*j**3 + 4*j**2 + 2*j + 10. Let w(t) = 2*q(t) + 3*x(t). Give 5*w(v) - 2*z(v).
2*v**3
Let y(p) = -478*p**3 + 10*p - 28. Let n(r) = -162*r**3 + 3*r - 9. Give 10*n(s) - 3*y(s).
-186*s**3 - 6
Let s(a) = -34*a**3 + 4. Let j(c) = 237*c**3 - 27. Let m(t) = -3*t**2 + 76*t + 428. Let f be m(-5). Calculate f*s(h) - 4*j(h).
-30*h**3
Let h(g) = 8*g**2 + 23*g + 1. Let v(f) = -6*f**2 - 15*f - 1. Give 7*h(l) + 10*v(l).
-4*l**2 + 11*l - 3
Let b = 12563 - 12593. Let n(d) = -d**3 + d**2 + d. Let s(v) = 3*v**3 - 6*v**2 - 6*v. What is b*n(a) - 5*s(a)?
15*a**3
Let w(x) = -4*x - 2. Let r(n) = -n. Let z(y) = 3*r(y) - w(y). Let q(o) = 7*o**2 - 15*o + 4. Let v be q(2). Let f(m) = -9 - 9 + 19. Calculate v*z(s) - 6*f(s).
2*s - 2
Let z(a) = 5*a + 1. Let d(w) = -116*w - 68. Calculate d(f) + 24*z(f).
4*f - 44
Let w(k) = 110 - 220 - 26*k + 113 + 15*k. Let a(v) = -5*v + 1. Determine 13*a(b) - 6*w(b).
b - 5
Let w(s) = 20*s**2 - 2*s + 10. Let c(q) = 10*q**2 - q + 5. Give 5*c(z) - 2*w(z).
10*z**2 - z + 5
Let k(j) = 2 + 6*j**2 + 4 + 5 - 10. Let a = 755 - 747. Let g(t) be the first derivative of -2*t**3/3 - 2. What is a*g(x) + 3*k(x)?
2*x**2 + 3
Suppose j - 5*j + 24 = 3*b, j + 2*b = 11. Let k(g) = 4 - j - 2. Let m(x) = x - 620 + 312 + 314. Give 6*k(v) + m(v).
v
Let w(z) = 3*z**2 + 115*z + 4. Let x(j) = 2*j**2 + 111*j + 3. Calculate 4*w(p) - 5*x(p).
2*p**2 - 95 | {
"pile_set_name": "DM Mathematics"
} |
, z, 1
Let v = -11 - -16. Let z(g) = g + 3. Let t = -7 - -1. Let x be z(t). Put x, 1, v in descending order.
v, 1, x
Let g = -8 - -4. Put -9, -2, g in ascending order.
-9, g, -2
Let t = -1.8 + 0.8. Sort -0.1, t, 0.2 in decreasing order.
0.2, -0.1, t
Suppose 0 = 2*p - p + 1. Let n be 3/6 + (-33)/6. Sort n, -2, p in increasing order.
n, -2, p
Let n(t) = t**3 - t**2 - 4. Let y be n(0). Let x be 39/6 - (-2)/y. Let m be x/(-21) + 2/7. Sort m, -1, 4.
-1, m, 4
Let h = -0.58 + 0.28. Let v = -22 - -24. Let j be 1/2 + 14/(-44). Sort v, j, h.
h, j, v
Suppose 5*s + 10 = 0, -t + 0*t = 2*s + 6. Let l be ((-2 - -3) + -1)/(-1). Sort 5, t, l.
t, l, 5
Let z = 3.49 - 1.49. Let i = -0.3 - 0.7. Let f = i + 2. Put f, -1/3, z in ascending order.
-1/3, f, z
Let p = -0.132 + -0.068. Let w = 2.2 + -2. Let l = w - 0.1. Put p, l, -1 in ascending order.
-1, p, l
Suppose h = 4*m - 2 - 0, -4*h + 12 = 4*m. Suppose -2*x - 3*y - 22 = 0, 0*x + 4*y = x - 11. Sort m, -4, x in descending order.
m, -4, x
Suppose -2*d - 2*d = -s - 26, 0 = -s - 2*d + 4. Let o = s + 9. Let u be (6/4)/(9/12). Put o, u, -2 in decreasing order.
o, u, -2
Suppose -y + 2*h = -2*y + 2, -5*h + 5 = 0. Let a be (-2)/(-24) + 14/84. Sort 3/4, a, y in descending order.
3/4, a, y
Let y = 1 + 0. Let m be -2 + (-1743)/(-10569) + 2. Let k = -3/271 + m. Put k, -3, y in ascending order.
-3, k, y
Let a = -23 - -25. Suppose a*l - 2 + 6 = 5*o, o + 4 = 2*l. Let y be (-18)/(-4) + 1/2. Put l, y, 0.5 in decreasing order.
y, l, 0.5
Let a be 2/15*-5*1. Let x be 1 - ((8 - 4) + -1). Let r be -4 - -3*x/(-3). Sort -0.4, r, a.
r, a, -0.4
Let q = 1.7 - 1.7. Let u = q - -0.1. Sort 7, u, 2 in decreasing order.
7, 2, u
Let r = -3 - -5. Suppose -10 = -3*i - r*k, -5 = 3*i - 2*i - k. Suppose i = -0*x + x + 1. Sort 5, 0, x.
x, 0, 5
Let c = -9 - -9.5. Put c, -3/4, -7 in decreasing order.
c, -3/4, -7
Let n(t) = -2*t**3 - 2*t**2 + 2*t - 1. Let x be n(1). Let u be x*(-3 - 0)/(-45). Put u, -2/9, 4 in increasing order.
-2/9, u, 4
Let b be -1*3 + (-1 - -2). Suppose 3*c - 15 = -0. Let a = 16 + -12. Sort c, b, a in descending order.
c, a, b
Suppose -4*t - 8 = -0*t. Sort -1, t, -5 in decreasing order.
-1, t, -5
Let g = 2.92 - -0.08. Let t = 6 - g. Sort t, -3, 2 in increasing order.
-3, 2, t
Let v = -15 - -10. Let l = 4 + -8. Sort l, -3, v.
v, l, -3
Let c = -87 - -177/2. Let k = 4.95 - -0.05. Sort c, -5, k in increasing order.
-5, c, k
Let u = 14 - 9. Suppose -3 = -0*q + q. Sort q, 3, u in decreasing order.
u, 3, q
Let o(j) = -j + 9. Let d be o(7). Put d, -3, 1 in increasing order.
-3, 1, d
Let l(n) = n**2 + 16*n + 2. Let w be l(-15). Let y = -16 - w. Put y, 3, -4 in decreasing order.
3, y, -4
Let s = -26 + 31. Sort s, 4, 2/3.
2/3, 4, s
Let n = 10 + -10.02. Let g = n + -1.98. Sort g, 1, -2/3 in descending order.
1, -2/3, g
Let s be -2*(-1)/(-2)*-5. Suppose 5 = s*n - 3*q, 4*n - 3*q = 2*q - 9. Sort -5, 2, n in increasing order.
-5, 2, n
Let m = -4 - -7. Let h = 23 + -22.91. Let f = h + -0.19. Sort m, -3, f in increasing order.
-3, f, m
Let d = -91.5 - -91. Let h = 0.8 - 4.8. Put 1/8, d, h in increasing order.
h, d, 1/8
Let v = 3 - 2.5. Let i = -1.6 + 0.6. Put i, 3, v in decreasing order.
3, v, i
Let k(h) = -h**3 - h - 4. Let b(f) = -f**3 + f. Let w be b(-1). Let q be k(w). Sort 0, q, 2 in decreasing order.
2, 0, q
Let d = 3 - -5. Sort d, -3, 1 in increasing order.
-3, 1, d
Let b be (-3)/(3/3) + 31. Suppose 4*c = 2*d + b, 5*c - 49 + 11 = d. Suppose -v + 3 = c. Put v, -1, -3/2 in descending order.
-1, -3/2, v
Suppose 10 = -3*f - 2*b, 0 = -f - 3*f + 2*b - 18. Sort 0, -2, f in descending order.
0, -2, f
Let n = -3 + 7. Suppose -n*l = -2*l. Put l, 3, 7 in ascending order.
l, 3, 7
Let y = -0.4 + 0.2. Put -0.1, -2, y, 1 in descending order.
1, -0.1, y, -2
Let v be 184/44 - 2/11. Sort 5, v, -1 in descending order.
5, v, -1
Let l = 3.5 - 2.5. Sort 3/4, 0.1, l.
0.1, 3/4, l
Suppose -4*n - n = 10, -3*n - 5 = -v. Let s(u) = u**3 - 2*u**2 - 4*u + 1. Let b be s(3). Put 4, v, b in ascending order.
b, v, 4
Suppose 0 = -2*z + 4*z + 6. Let h = 3 + 2. Suppose -h*a - 10 = -5. Sort z, a, 3 in increasing order.
z, a, 3
Let h = 0 - 0. Suppose -6 = -i - 1. Suppose 0 + i = -5*s. Put h, s, -5 in increasing order.
-5, s, h
Let p = 0 + 1. Sort 1/5, -1/4, p in decreasing order.
p, 1/5, -1/4
Let u = 1.7 - 2.1. Put -3, u, -4 in descending order.
u, -3, -4
Let b = 10 - 14. Let u = -0.8 + -0.2. Let s = b + u. Sort 0.2, s, -4/7 in decreasing order.
0.2, -4/7, s
Suppose -3*y - 6 = -0*y. Let m be -2 - (-4)/(-6) - 8/24. Sort m, y, 3 in decreasing order.
3, y, m
Let m be ((-5)/(-2))/(18/(-36)). Put 11, m, 5 in decreasing order.
11, 5, m
Let f = 1.1 - 1. Let i = 3.57 - 0.62. Let q = i + 0.05. Sort -0.3, f, q in descending order.
q, f, -0.3
Let u be 6 + 1/(-1) - 0. Let k = u + -5. Let n = k + -4. Put 0, n, 4 in ascending order.
n, 0, 4
Let l = -19 - -14. Sort 0.2, -1/6, l.
l, -1/6, 0.2
Let y = 4.84 + 0.16. Let f = -0.3 - -0.1. Let a = f + -3.8. Put y, -2/7, a in ascending order.
a, -2/7, y
Let m(r) = r**2 + 12*r + 21. Let j be m(-11). Sort -2, 4, j.
-2, 4, j
Suppose -6 = -0*y - 2*y. Let k be (-42)/45*3 + y. Sort k, 0, 2 in decreasing order.
2, k, 0
Let x = 9 + -1. Let f = x + -6. Put f, 1/5, 4 in descending order.
4, f, 1/5
Let t = 14 + -18. Sort 4, t, 2 in increasing order.
t, 2, 4
Let j be (-1)/(-2*(-1)/2). Let n = j + 4. Let z = 3 + -7. Sort z, 1, n in decreasing order.
n, 1, z
Let v = -12 + 11.93. Let b = v + -0.13. Put b, 4, 2/9 in increasing order.
b, 2/9, 4
Let s = 6 + -7. Let t = 2 + -5. Let x be (3 + t)*(-2)/4. Sort 5, x, s in increasing order.
s, x, 5
Suppose -2*i + 2 = -3*i. Let p be -6*((-12)/(-9))/i. Suppose -5 = w + p*g, g = -4*w - 0*g - 5. Sort -4, w, 4 in descending order.
4, w, -4
Suppose -2*x = -4*u - 56, 7 = 5*u + 4*x + 90. Let m be 2*(u/6 - -1). Let y be -5*-3*1/m. Sort y, 1, 0 in ascending order.
y, 0, 1
Let t = -77 + 80. Suppose 3*h - o = -8, 2*h + o + 2*o = 2. Let a = -1 - h. Put t, a, 4 in increasing order.
a, t, 4
Let w = 11 + -8. Suppose 0 = 3*m - 3*s - 5 - 13, 4*m - 26 = w*s. Let a be 22/m - (0 + 2). Sort a, -5, -0.2.
-5, -0.2, a
Let g = 0.6 - 4.6. Sort -2, 2/15, -2/9, g in decreasing order.
2/15, -2/9, -2, g
Let p = -2.9675 - 0.0625. Let w = -0.03 - p. Put w, -0.4, 1/6 in decreasing order.
w, 1/6, -0.4
Let k = -18 + 52/3. Let n = 67 - 13. Let a = 269/5 - n. Sort k, a, -1 in descending order.
a, k, -1
Suppose 2*w - 6*w = 0. Let d = -18 - -23. Sort d, 2, w.
w, 2, d
Let n = 1.1 + -0.8. Let q be 10/4*4/(-2). Sort 3, q, n in decreasing order.
3, n, q
Let h be ((-1)/(-2))/(1/3). Let u be 4/(-90)*3 - 7/15. Sort h, -0.3, u in descending order.
h, -0.3, u
Let d(v) = v**2 - 13*v - 4. Let k be d(13). Let a = -7 + 8. Sort a, 2, k in increasing order.
k, a, 2
Let w(o) = o**3 + 4*o**2 + 4*o + 2. Let t be w(-2). Sort t, -2, -1, -3 in increasing order.
-3, -2, -1, t
Let b be 2/(-4)*(-48)/(-12). Sort 3/7, 5, b in descending order.
5, 3/7, b
Suppose 0 = 5*r + 5 - 30. Let f = 7.6 - 8. Put -2/15, f, r in decreasing order.
r, -2/15, f
Let l be 1/((-14)/(-20)) + -2. Suppose -m - 2*m = -12. Suppose 0 = -m*n + 2*n - 4. Put l, -4, n in decreasing order.
l, n, -4
Suppose 455 - 135 = -5*s. Let i be (3/2)/((-24)/s). Sort i, 3, -3 in decreasing order.
i, 3, -3
Let t = 1 + -1. Let u = 1/5 - -11/20. Put t, u, 2 in decreasing order.
2, u, t
Let w = -0.9 - 0.1. Let r = 0 - w. Let z = -0.07 + -3.93. Sort z, 5, r.
z, r, 5
Let s be (-225)/33 - 5/((-110)/(-4)). Put -2, -5, s in decreasing order.
-2, -5, s
Let b = -18 - -16. Let n be 2 - (-1 - 1)/2. Suppose 0*l + n*z = 5*l - 9, 0 = l + 5*z + 15. Sort -1, l, b.
b, -1, l
Let x = -0.16 - -0.36. Sort 13, 2, x in ascending order.
x, 2, 13
Let s = -1.64 - -0.04. Let y = s + 0.1. Let w = -1 - y. Sort w, -4, 2.
-4, w, 2
Let w be (2/(-7))/(44/22). Sort -2, w, -1 in decreasing order.
w, -1, -2
Let n = -26 - -25. Put 2, -3, n in increasing order.
-3, n, 2
Suppose c + 53 = 52. Put 5, -3, c in descending order.
5, c, -3
Suppose 6 = 2*b - 4. Sort 0, b, -6 in decreasing order.
b, 0, -6
Let b = 12 + -12. Sort 0.4, b, 1/5.
b, 1/5, 0.4
Let f = 4 - -1. Let x = f + -5.2. Put x, 3, 2 in decreasing order.
3, 2, x
Let b(u) = -u + 17. Let l be b(13). Sort l, 1, -0.5 in increasing order.
-0.5, 1, l
Let x = 90 + -89.8. Put -0.01, -0.2, x, 0.1 in increasing order.
-0.2, -0.01 | {
"pile_set_name": "DM Mathematics"
} |
+ 2*k + 5 for k.
5
Let r(p) = -3*p - 8. Let k be r(-6). Let h be (-21)/(-12) - (-1)/4. Let b = -18 + 25. Solve -k = -b*u + h*u for u.
2
Suppose 4*f = -3*s + 15, 4*s - 8*f = -4*f + 20. Solve s = -b + 1 for b.
-4
Let y be (-30)/2*3/9. Let b = y - -7. Solve -b*d = 3*d for d.
0
Let x = 16 + -13. Solve -x = 4*i - 7*i for i.
1
Let q = -5 + 7. Let l be q - (-6)/9*-3. Suppose -14 = -5*h + 6. Solve 0*w - w + h = l for w.
4
Suppose 2 = -3*m + 2. Let y(z) be the second derivative of z**4/12 - z**3/6 + 5*z**2/2 + z. Let c be y(m). Solve -p - c + 4 = 0 for p.
-1
Suppose -2*p = -p - 18. Suppose -2*q = -p + 2. Solve q + 2 = -2*j for j.
-5
Suppose 0 = -2*d - 4*o + 12, -3*o + 0 = 2*d - 11. Let j be (1 + -4 + 2)*1. Let s be (0*(-3)/(-6))/j. Solve s = 3*g + g - d for g.
1
Let z be -2 + 7 - (-9 + 8). Solve -z*t = -t - 20 for t.
4
Let u be 1 + -1 + -1 + -10. Let d(i) = i**2 + 10*i - 9. Let j be d(u). Let c be -2*j/(-2) + 0. Solve 0 = -n - 0*n - c for n.
-2
Let s = -6 + 12. Solve 0*k = 2*k - s for k.
3
Let n = -1 + 1. Let t = 20 + -17. Suppose n = t*w - 0*w - 45. Solve 5*a - w = 5 for a.
4
Suppose 4*z + 4*p - 3*p = 3, 0 = z + 2*p - 6. Suppose -f - f - 4 = 0, 4*f = -4*k + 12. Let m = 13 + 3. Solve l - k*l + m = z for l.
4
Let g(f) = -f**3 - 3*f**2 + 3*f + 5. Let y be g(-4). Let c = y - 9. Solve c = -3*w + 5 + 7 for w.
4
Let a be 14/4 + 1/(-2). Suppose -a*f + 6 + 0 = 0, 0 = -4*j + 2*f + 8. Solve -j*z = z + 8 for z.
-2
Let u be (-2)/3*(-1 - 2). Let j be (-63)/(-2) + u/4. Suppose z + 5*d - 2 = 0, 3*z + j = 7*z - 4*d. Solve z*k = 2*k for k.
0
Suppose 0 = 13*u - 96 - 47. Solve -2*i = 5 - u for i.
3
Suppose 5*a = 4*s + 40, -s = 4*a - 56 + 3. Let q = 17 - a. Solve -q*o + 21 = 6 for o.
3
Let y be -4*((-1 - 0) + 0). Suppose -6 = -y*m + 2*m. Solve 2*a + m*a = 0 for a.
0
Suppose 0 = z - 3, -5*y = -0*y + z - 13. Suppose 4*f + 1 = 3*t - y, t - 1 = 4*f. Solve 3*r + 2*r + 25 = f for r.
-5
Let i = -1 + -3. Let b = -7 - i. Let o be (3 + 3)/(b/(-2)). Solve o*l + 6 + 2 = 0 for l.
-2
Suppose 2*v = 2*p + 16, 2*v - p - 4 = -2*p. Solve -16 = 5*d + v for d.
-4
Let m(v) = v**2 - v + 4. Let w(c) = -c**3 - 3*c**2 - 2*c - 6. Let u be w(-3). Let y be m(u). Solve -y*i = -3*i - 5 for i.
5
Let u be -6*2/8*(-4)/3. Solve 0 = n + u*n for n.
0
Suppose 3*y - 5*a = 26 + 6, -3*y = 3*a. Suppose 0 = -i - 2 + y. Solve 0 = i*r - r for r.
0
Let b(z) = -z**2 + 11*z - 18. Let d be b(9). Solve -5*f + 10 + 0 = d for f.
2
Let u(c) be the third derivative of -c**4/24 + 2*c**3/3 - 5*c**2. Let g be u(2). Solve g*x + 10 = -0 for x.
-5
Let j be ((-19)/2)/((-5)/(-10)). Let t = 19 + j. Solve t*k = k for k.
0
Let f(r) = 25*r**2 + 3*r + 2. Let b be f(-1). Solve -b*i = -19*i + 10 for i.
-2
Let l(x) = x**2 + 8*x + 10. Let z be l(-7). Let u(a) = -a**3 - 12*a**2 + 3. Let h be u(-12). Let y = h - z. Solve 0 = -y*s - 2*s for s.
0
Suppose 0 = -3*t + 9 - 0. Solve t*c = c - 8 for c.
-4
Suppose s + 5*t + 20 = 0, 0 = -0*t + 2*t + 8. Suppose -50 = -6*j - 20. Solve -r + s = -j for r.
5
Let i be 56/(-6)*(-9)/(-6). Let n = 19 - i. Suppose 0 = -a - 1 - 4, -2*x + a = -31. Solve -5*l - x = -n for l.
4
Let g(t) = -t**2 - 11*t - 20. Let p be g(-8). Solve -p*k + 4 = -3*k for k.
4
Let d = -63 + 65. Solve 3 = y + d for y.
1
Suppose -5*g + 20 = -0*g + 5*o, -5*g + 2 = -o. Let c = -8 - -14. Solve g = y + c for y.
-5
Let o = -1 + 3. Suppose 0 = o*b - 2*l + 24, -b - 2 = -3*l + 20. Let z(i) = i**2 + 6*i - 2. Let d be z(b). Solve 0 = -d*q + 2 + 3 for q.
1
Let l = -13 + 13. Solve l = 3*f - 0*f for f.
0
Let c(x) = -13*x - 1. Let z(u) = -2*u + 3. Let w be z(2). Let t be c(w). Solve -5*g - t = -g for g.
-3
Let g(n) = -7 + n - n - n. Let t be g(-10). Suppose 0 = -y + t*y - 10. Solve -w - 4*w = y for w.
-1
Let w = -43 + 45. Solve 0 = -5*g + 27 - w for g.
5
Let n(i) = 26*i**3 + i**2 + 3*i - 3. Let w be n(2). Suppose -w = 4*k - 9*k. Let j = k + -28. Solve 2*z - 7*z = -j for z.
3
Suppose -j + 2 = 2*j + d, -d + 2 = -2*j. Solve c - 2 = -j for c.
2
Suppose -6 - 7 = -h + y, -2*h = -3*y - 29. Let g = 10 - h. Solve g*r + 5*r = 0 for r.
0
Suppose 3*l - q + 6 = 0, -l + 3*q = 2*q + 2. Let h be 5 + (2 + l - 1). Suppose 2*s + 0*c - 1 = c, s - h*c = 4. Solve -2*t + 4 + 4 = s for t.
4
Let g = 65 - 57. Solve 33 - g = 5*a for a.
5
Let t(z) = -z**3 + 10*z**2 + 13*z - 11. Let l be t(11). Solve -l = 3*w - 2 for w.
-3
Let g(q) = -2*q + 13. Let v be g(5). Solve -v + 7 = i for i.
4
Suppose -w = -2 - 3. Suppose 5*q + w - 20 = 0. Solve v - 1 - q = 0 for v.
4
Let n(m) = m + 7. Let z be n(-5). Suppose -9 = -x - z*x. Solve -5*i - 22 = x for i.
-5
Suppose 3*u - 4 = 8. Let p be (-4)/(-6)*30/u. Solve -j + p*j + 4 = 0 for j.
-1
Suppose -3*c - 5 = -8*c. Suppose k - 1 = c. Suppose -k*p + 12 = -0. Solve -2 = -2*a - p for a.
-2
Let i be (-1 + 6)*1 + -2. Solve -3*k + 15 = i for k.
4
Suppose 6*d - 9*d + 45 = 0. Let k(n) = n**3 + 9*n**2 - 9*n + 13. Let p be k(-10). Solve -p*i - d = -6*i for i.
5
Let b(f) = -f**3 + f**2 - 2. Let r(h) = 2*h**3 - 2*h**2 + 3. Let d(o) = 3*b(o) + 2*r(o). Let m be d(0). Solve m = -2*s + 4 for s.
2
Let t = 20 + -17. Solve t*v - v - 2 = 0 for v.
1
Suppose -3*z = 2*z - 10. Let u be (-2)/(-4)*140/1. Suppose 4*b = -b + u. Solve z - b = 3*y for y.
-4
Suppose -2*o + 17 = 4*t - o, 2*o = 10. Let r = 87 + -86. Solve -t*s - 4 = -r for s.
-1
Suppose 0*m - 16 = -8*m. Solve -m*h = 7 - 1 for h.
-3
Suppose -15 = -5*x - 0. Let f be (-2)/9 - (-56)/9. Solve -f = -x*k + k for k.
3
Let x(s) = -s. Let b be x(-3). Let i be (1*(-21)/(-14))/(6/104). Suppose i = b*l - 4*g, -2*l - 10 = -g - 29. Solve 10 = -5*a - l for a.
-4
Suppose -5*h + g = -h - 7, g - 11 = -5*h. Suppose -6*k + 3*k = 0. Let d be -2 + 19 - (k + 2). Solve -h*u = 3*u + d for u.
-3
Let l(o) = 6*o + 0*o - 5*o + 21 - 7. Let p be l(-11). Solve p*b = b for b.
0
Suppose 5*f - 56 = -3*f. Solve -5 - f = -3*k for k.
4
Let m = 44 + -43. Let h(z) = 2*z + 2. Let q be h(-6). Let w = -7 - q. Solve 0 = -2*p + m + w for p.
2
Let k(f) be the third derivative of -f**4/24 + 5*f**3/3 - 2*f**2. Let v be 40/(-6)*30/(-20). Let h be k(v). Solve -g = 2 - h for g.
-2
Suppose 3*c + 14 + 8 = -4*s, 3*c + 23 = -5*s. Let z = -6 - c. Solve p + 1 + 1 = z for p.
-2
Suppose -352*b - 24 = -358*b. Let s be 40/(-6)*(-12)/10. Solve 4*q - b = -s for q.
-1
Let l = -25 - -29. Solve s - l*s = 0 for s.
0
Let l(m) = m**3 - 17*m**2 + 2. Let q be l(17). Solve q*i + 5 = -5 for i.
-5
Suppose -b + 6*b - 20 = 0. Solve -b = 4*a + 4 for a.
-2
Suppose 4*m - 7 = 5*p, m = 3*p - 2*p + 2. Let f be (1/(-1) - -8)/p. Let s = f - 3. Solve s*o = 10 - 2 for o.
2
Suppose 2*q - 6 = -0*q. Suppose 16 = q*x + x. Solve 4*w = -16 + x for w.
-3
Let t be 12/(3/1) - 1. Suppose -4*g + 40 = 5*f, -3*f + t = -4*g + 11. Suppose -2*z + 15 = v - 2, 0 = -2*z + g*v - 13. Solve 3*p = -0 - z for p.
-2
Let p(v) = v**2 + 2*v + 1. Let z be p(-3). Suppose -z*k + 5*k = 4. Solve -s + 1 = -k for s.
5
Let t = 11 + -6. Suppose 9 = 3*b, 4 = d + b - 1. Suppose -n - f + 2 = f, f = n + 1. Solve -a + d*a + t = n for a.
-5
Let r(l) = -l**2 + 9*l. Let j be r(9). Suppose j = -b + 3 + 3. Solve -3 + b = d for d.
3
Let s = 23 - 18. Solve -s*d = -10*d - 25 for d.
-5
Let w be (-2)/(-5) + 8/(-20). Let t = 2 - w. Suppose 5*j = -4*d + 105, j = 5*j - t*d - 110. Solve -5*x + 0*x + j = 0 for x.
5
Suppose 16 = 4*o + p, -6*p + 3*p = 4*o - 16. Let g(k) = -k + 2. Let x be g(2). Solve -f + x*f = o for f.
-4
Let h(r) = 2*r + 27. Let s be h(-11). Suppose -l + 2*l - s = 0. Solve i + 0*i + l = 0 for i.
-5
Let l(t) = t**3 + 6*t**2 + 6*t - 2. Let w be l(-5). Let f be 5/2*(-14)/w. Solve 4*a + f = -15 for a.
-5
Suppose -20 = -i - 3*i. Solve 0 = i*x - x + 16 for x.
-4
Let g = 4 - 1. Suppose 0 = s + g*s - 80. Let v = s - 10. Solve -2 - v = -4*u for u.
3
Suppose -4*y - v = 9, -2*v = -2*y - 5*v - 7. Let t be (-1)/((-4)/(-6))*y. Solve g = t*g for g.
0
Suppose -3*w + w + 10 = 0. Solve w = 6*o - o for o.
1
Suppose 0*f = -3*f + 3. Solve -2*n - 5 = f for n.
-3
Let v be 5/20 - (-9)/12. Suppose -2*a + 24 = 5*f, -2*a + 4*a + f = 8. Suppose -a = p, p = 2*d + d - 17. Solve 2*g = d - v for g.
2
Suppose -5*i = -4*f + 32, 20 = 4*f - 0*i - 2*i. Solve b - 4 = f*b for b.
-2
Let r(c) = c**2 + 9. Let b be r(0). Suppose -3*v + 5*v = 0. Suppose v*u - 2 = -u. Solve u*d + 1 = b for d.
4
Let q(r) = -r**2 - 5*r - 1. Let v be (0 + -2)/(1/2). Let a be q(v). Let p be 2/(-3) + 8/a | {
"pile_set_name": "DM Mathematics"
} |
s 18 a factor of x?
True
Suppose -y + 3*y - 62 = 0. Let j = -10 + y. Suppose -3*k + j = h, 6*h - 82 = 4*h + 4*k. Is h a multiple of 6?
False
Let a(r) = r**2 + 13*r + 12. Let l be a(-13). Let o be (2/4)/(1/l). Suppose o*t - t - 345 = 0. Is 12 a factor of t?
False
Let g(c) be the second derivative of -c**5/120 + 7*c**4/6 - c**3/2 - 10*c. Let w(y) be the second derivative of g(y). Does 8 divide w(-12)?
True
Let i(a) be the second derivative of -a**3/3 - 2*a**2 + 3*a. Let u be i(-4). Is 4 - ((-267)/3 + u) a multiple of 34?
False
Let u = -2058 - -4045. Does 24 divide u?
False
Let d be (-9696)/(-20) + (-2)/(-10). Suppose 5*v = -2*r + 4*v + 181, 5*r - 4*v - d = 0. Does 6 divide r?
False
Let u(w) be the third derivative of -w**6/120 - 17*w**5/60 - 23*w**4/24 - 35*w**3/6 - 8*w**2. Is 25 a factor of u(-16)?
False
Let b(d) = d**3 - 6*d**2 + 5*d - 3. Let m be b(6). Let g = m - 6. Let a = g + 16. Is 13 a factor of a?
False
Suppose 0 = 2*i - 4*b - 510, -7*i + 11*i - 1006 = b. Does 55 divide i?
False
Let c = -19 + 21. Suppose -u + 3*u - 204 = -4*j, -110 = -c*j - 3*u. Is j a multiple of 7?
True
Let b(h) = 5*h**2 - 4*h - 1. Let a be b(-3). Let q = a + -44. Is 4 a factor of q?
True
Let f be (2/(-4))/((-2)/(-4)) - 1. Is 13 a factor of f + 3 - 87/6*-2?
False
Let i be 4/(-10)*-5*1. Let q be i/(-3) - 70/(-6). Suppose -a + q = -5. Does 16 divide a?
True
Let k(c) = c**3 - 9*c**2 - 2*c + 15. Let n be k(9). Let z(v) = 4 - 4 + 4*v + 6*v**2 + 3 - 2*v**2. Is 7 a factor of z(n)?
False
Suppose -3*u + 3 + 0 = 0, 5*k - 29 = -4*u. Let c be (0 + -117)*1/(-1). Suppose -73 - c = -k*h. Is 9 a factor of h?
False
Let r(n) = -38*n**3 - 3*n**2 + 7. Does 5 divide r(-2)?
False
Does 21 divide (-2092)/(-3)*(-18)/(-12)?
False
Let x(g) = -5*g**3 - 19*g**2 + 14*g - 24. Does 12 divide x(-9)?
True
Suppose -20*g + 261 = -19*g. Does 9 divide g?
True
Let c be 2/(-3) + 94/6. Suppose 0 = -2*m + 5*m + 24. Let h = m + c. Is 2 a factor of h?
False
Let d(g) = -g**3 - 12*g**2 + 33*g - 9. Let w be d(-14). Does 33 divide (-10)/6*w - (-2)/6?
True
Suppose -b + 3*m + 354 = 0, -4*m - 1072 = 3*b - 6*b. Is b a multiple of 15?
True
Suppose -95*b = -89*b - 6186. Is b a multiple of 30?
False
Let k be 2/14 - 113/7. Let v be k/(-9) + 18/81. Suppose -22 = -v*o + o. Does 22 divide o?
True
Let v be 0 + -1*5/1. Is (-3 - v)/(1/7 + 0) a multiple of 4?
False
Let m = -31 - 9. Is 4 a factor of (m/15 - -2)*-66?
True
Let p(u) = 10*u + 8. Let z(l) = 21*l + 15. Let j(a) = 9*p(a) - 4*z(a). Does 12 divide j(20)?
True
Suppose -8*t + 4*t = -16. Let o be t/4*(-4 + -1). Does 20 divide 1/5 + (-324)/o?
False
Let x = 139 + 32. Let u = x + -103. Suppose 2*k + 19 = 2*b - 3, -3*b + u = 4*k. Is 5 a factor of b?
False
Let c be ((-2)/(-4))/((-25)/(-1800)). Is 3 a factor of 5*(c/10 + -3)?
True
Let x = 689 - 392. Is 26 a factor of x?
False
Suppose 0 = -13*y + 1353 - 14. Is y even?
False
Let c(u) be the second derivative of u**4/4 + 2*u**3/3 - 6*u**2 + 21*u. Is 12 a factor of c(-6)?
True
Let z = 76 + -74. Suppose 0 = -5*x + 4*n + 220, 3*n + 47 = z*x - 41. Is x a multiple of 6?
False
Let y be (-1)/(1/2) - (-4)/1. Suppose -2*h - y*m - m = -109, 3*h - 166 = -2*m. Is h a multiple of 11?
False
Let j = 140 + -63. Is 7 a factor of j?
True
Suppose 136780 = 53*i - 14588. Is i a multiple of 61?
False
Suppose 34*h - 31*h - 6 = 0, -a + h + 324 = 0. Does 33 divide a?
False
Suppose -5*g + 103 - 327 = 4*p, 2*g = 2*p - 86. Let x = 44 - g. Does 11 divide x?
True
Is 79 a factor of (-1200)/(-5) - -3 - (8 + -2)?
True
Let n be (2 - 2) + (3 - 3). Suppose -11*k + 13*k - 120 = n. Is 12 a factor of k?
True
Let t(l) = -l**2 - l + 3. Let v be t(0). Let h(s) = 29*s - 9. Is 24 a factor of h(v)?
False
Let y(a) = -a + 12. Let d be y(7). Suppose -3*t - 5*f + 118 = 0, -d*t + 94 = f - 132. Is t a multiple of 23?
True
Suppose 14 + 7 = 7*j. Suppose -j*k + 18 = -12. Is 9 a factor of k?
False
Suppose -3*c - 12*s + 8*s = -539, -5 = 5*s. Does 38 divide c?
False
Suppose 5*u = u - 5*g + 1310, 0 = -5*u - 3*g + 1631. Let d = -204 + u. Is d a multiple of 11?
True
Let w be (-16 + 4)/(-4) + 12. Does 7 divide (-10)/w*90/(-4)?
False
Let t(p) = 0*p**3 - 2*p**2 + 3*p**2 - p**3 + 10 + 4*p - 5*p. Let x be t(0). Suppose -35 = -5*f - x. Does 3 divide f?
False
Let a(g) be the third derivative of 7*g**4/24 - g**3/2 + 4*g**2. Let w be a(16). Suppose -5*c + 301 + w = 0. Is c a multiple of 30?
False
Let q(s) = 12*s + 10. Let b be ((-30)/12)/((-3)/(-6)). Let c be q(b). Is 11 a factor of (-4 - c/2) + 0?
False
Suppose -3*y = 2333 - 8339. Is y a multiple of 77?
True
Let i = 19 - 22. Let a = 21 + i. Is 9 a factor of a?
True
Let h = -11 + 5. Let u be (-3)/h + 5/2. Suppose -4*s + u*d + 104 = -32, 0 = 2*d. Does 17 divide s?
True
Let b = -1094 + 2571. Is b a multiple of 11?
False
Suppose -2*r - 2 = 2*q, -r + 0*q + 3*q + 15 = 0. Suppose r*j - 7 = 2*s, 1 = -3*s - 2*j + 10. Let w = s - -6. Is w a multiple of 7?
True
Suppose 5*w - 3*w - 12 = 0. Suppose 5*l - l - w = -m, l = 2*m + 6. Suppose -l*n + 26 = -18. Does 22 divide n?
True
Suppose u = 81 - 24. Suppose 9 - u = -4*z. Is z a multiple of 2?
True
Let c(t) = -t**2 - 4*t + 3. Let a = -8 - -3. Let m be c(a). Is 9 a factor of m + 148/4 + 1?
True
Let n = 244 - 131. Suppose n = -5*v + 508. Is 29 a factor of v?
False
Let c = -2 + 169. Is ((-6)/(-3) - 1)*c a multiple of 13?
False
Suppose 4*c + 5*u = -15545, -c + 4*u = 437 + 3423. Is (-14)/(-63) - c/36 a multiple of 6?
True
Let j = -13 - -17. Suppose -2*o + 3*v = -v - 86, j*v + 12 = 0. Let s = o + -25. Does 6 divide s?
True
Let z(t) be the first derivative of -13*t + 2 + 7/2*t**2. Is 16 a factor of z(9)?
False
Let u = 17 - 12. Suppose -s - q = -15, -61 = 2*s - 6*s - u*q. Is 15 a factor of 4/s - (-2817)/63?
True
Let t(a) = -a + 10. Let i be t(10). Does 13 divide (29 + -3 + i)/1?
True
Let n(h) = -1 + 3*h**2 - 8 - 5*h**2 - 2 - 20*h. Is 3 a factor of n(-9)?
False
Suppose 11*z = 41 + 3. Suppose -n + 3*q - 432 = -z*n, -4*q = 0. Does 24 divide n?
True
Let q(m) = -26*m - 1. Let x be q(-2). Let k = x + -9. Suppose 4*p = 2*p + k. Is p a multiple of 7?
True
Let z be -1 + ((-8)/4 - -3). Let p be -2*(z - 153/6). Suppose -8*g + p + 621 = 0. Is 28 a factor of g?
True
Suppose -3*r = -5*j - 50, -2*r + 28 = -0*r - 2*j. Suppose 0 = 16*x - r*x - 72. Is 3 a factor of x?
True
Suppose -6*c + 20 = -c. Suppose c*t - 28 = 8. Does 4 divide t?
False
Suppose 60*p = 7*p + 19292. Does 14 divide p?
True
Suppose 0 = 7*u - 5 + 40. Is 4 a factor of (((-12)/u)/(-2))/(48/(-1560))?
False
Let z = -1292 + 2109. Is 43 a factor of z?
True
Let q(z) = z**3 - 8*z**2 + 8*z - 4. Let v be q(7). Let r be (-4 - 2)*v/(-3). Does 5 divide (r*11)/(10/5)?
False
Let z be 8/(-68) - (-159)/51. Suppose c + z*c = 3*y + 18, y = -2*c + 14. Does 3 divide 74/4 + c/(-4)?
False
Let r(p) = -86*p - 55. Is 8 a factor of r(-5)?
False
Let s = 2 + -6. Let g = -26 - -50. Let o = s + g. Is 5 a factor of o?
True
Suppose 5*q - 3*b - 30 = -2*b, 4*b = 4*q - 8. Suppose 4*s = q + 53. Suppose -5*v - 4*i + 62 = 0, -3*v + s = -3*i - 2*i. Is v a multiple of 2?
True
Let q = -49 - -53. Suppose q*s - 263 - 269 = 2*c, 536 = 4*s - c. Is 27 a factor of s?
True
Suppose -71*n = -69*n - 1350. Does 25 divide n?
True
Suppose 0*d = -d + 2, -4*d + 1628 = 4*w. Does 13 divide w?
False
Let d = 121 - 40. Suppose 0 = -4*r + d + 123. Is r a multiple of 13?
False
Suppose 132235 = 129*l - 240188. Does 11 divide l?
False
Suppose 24*z - 20*z = -3*d + 3879, -2*d + 2584 = 2*z. Is d a multiple of 30?
False
Let v = -111 - -122. Is v a multiple of 2?
False
Suppose 0 = -17*c - 7*c + 10944. Is c a multiple of 8?
True
Let b(f) be the first derivative of -6*f**2 - 45*f - 55. Is b(-18) a multiple of 19?
True
Suppose 6*x + 382 = 7822. Is x a multiple of 71?
False
Let c be 1 + (6/3 - 4). Let z be c/(-4) + (-14)/(-8). Does 19 divide z - (2 + -3)*32?
False
Let c = 1819 - 1390. Is c a multiple of 73?
False
Does 4 divide (-135)/630 + (-13625)/(-14)?
False
Let u(z) be the first derivative of -z**4/4 + 8*z**3/3 - 3*z**2 + 7*z + 3. Does 8 divide u(6)?
False
Suppose 15 = -5*q, -4*x + 4*q + 19 = 3*q. Let g(j) = j**3 - j + 1. Let l be g(x). Suppose -3*y = m - l, -5*m + 3*y + 235 = 4*y. Is 12 a factor of m?
False
Suppose -3*u + 16 = -u. Suppose 0*s - u = -5*s - 3*m, -8 = 2*m. Suppose 27 + 85 = s*g. Is 14 a factor of g?
True
Let n be (-22)/(-8) + 1 | {
"pile_set_name": "DM Mathematics"
} |
le of 66790662 and 8?
267162648
What is the common denominator of -109/30966936 and 73/286?
30966936
What is the smallest common multiple of 1288847 and 1288847?
1288847
Calculate the least common multiple of 5380 and 3721884.
18609420
Find the common denominator of 17/91695 and -35/606.
18522390
Calculate the least common multiple of 11169180 and 1269225.
55845900
Calculate the common denominator of -19/461414 and 64/85.
2307070
Calculate the least common multiple of 174474 and 3060834.
247927554
What is the lowest common multiple of 470340 and 1051900?
369216900
What is the lowest common multiple of 567690813 and 4?
2270763252
Calculate the common denominator of -125/468666 and 49/7101.
468666
What is the smallest common multiple of 13430 and 16103913?
161039130
What is the smallest common multiple of 5537661 and 1821?
5537661
Find the common denominator of 33/7003384 and -41/16472.
497240264
What is the common denominator of 37/1380756 and 13/536?
185021304
Calculate the common denominator of -14/91395 and -83/1047996.
15719940
What is the lowest common multiple of 60159 and 10549701?
116046711
What is the smallest common multiple of 96 and 29557098?
472913568
Calculate the smallest common multiple of 2953044 and 19953.
2953044
What is the common denominator of 101/24 and 59/45091804?
270550824
What is the common denominator of 127/36952770 and 89/1910?
36952770
What is the common denominator of -77/7494310 and -107/1320?
989248920
What is the common denominator of -58/253 and -39/284845?
6551435
What is the common denominator of 57/5672 and 97/202548?
287213064
Calculate the common denominator of -43/10625 and -99/106250.
106250
Find the common denominator of -79/3339 and -1/21672.
1148616
What is the smallest common multiple of 982205 and 5893230?
5893230
Find the common denominator of 79/12350 and 53/2575222.
64380550
Find the common denominator of -61/64407580 and 23/10700.
322037900
Calculate the common denominator of 31/17754 and -131/68484.
202644156
Calculate the smallest common multiple of 297684 and 30.
1488420
Find the common denominator of 1/236358 and 85/10422.
45617094
Find the common denominator of 89/23895 and -34/833139.
12497085
Calculate the common denominator of -35/13 and -89/25813580.
25813580
Calculate the common denominator of -43/20010 and -3/89030.
6143070
What is the common denominator of -77/2 and 53/22557488?
22557488
What is the least common multiple of 27779488 and 880?
138897440
What is the smallest common multiple of 363648320 and 36?
3272834880
Calculate the least common multiple of 144845 and 4779885.
4779885
Calculate the common denominator of -1/18 and 113/194418.
194418
What is the common denominator of -25/14382 and -9/1135708?
173763324
What is the lowest common multiple of 198852 and 9782?
13323084
Find the common denominator of -26/6017215 and 88/2835.
3411760905
Calculate the least common multiple of 11196 and 45394182.
90788364
What is the smallest common multiple of 16546720 and 9928032?
49640160
Calculate the common denominator of -86/143461725 and 7/19239.
1578078975
What is the common denominator of -35/79536 and -91/246255?
6528712560
Calculate the common denominator of 77/11961750 and 11/112032.
574164000
What is the common denominator of -35/1400459 and 49/1504?
44814688
What is the common denominator of -9/46 and -17/7877614?
181185122
Calculate the least common multiple of 13040 and 51402050.
411216400
What is the common denominator of 71/2169912 and 61/283032?
6509736
What is the least common multiple of 42090 and 1338?
9386070
What is the lowest common multiple of 32293 and 4017099?
172735257
What is the common denominator of 22/315 and 1/16980075?
16980075
What is the least common multiple of 1941636 and 1779833?
21357996
Calculate the lowest common multiple of 1235 and 17180.
4243460
What is the common denominator of -97/281370 and 106/54163725?
108327450
What is the least common multiple of 631220 and 1628?
6943420
What is the smallest common multiple of 6801744 and 1464?
6801744
What is the common denominator of 2/14279 and 43/2198966?
2198966
What is the common denominator of -43/4344190 and 58/5?
4344190
What is the common denominator of -59/8244960 and -103/9172518?
733801440
Find the common denominator of 61/469530 and -97/43146.
7982010
What is the common denominator of 155/3946236 and -81/560?
78924720
Find the common denominator of -47/2213 and -83/14548262.
14548262
Calculate the lowest common multiple of 13893 and 6612647.
218217351
What is the common denominator of 83/110715 and -59/7602430?
22807290
Calculate the common denominator of 29/720 and 107/4111092.
82221840
Calculate the common denominator of 61/812 and -23/19698888.
137892216
What is the least common multiple of 7691392 and 80?
38456960
Find the common denominator of -77/2500 and 27/2606.
3257500
What is the common denominator of -79/3808 and -67/1171520?
19915840
What is the common denominator of -53/579168 and -125/144?
579168
What is the common denominator of 37/15 and -48/267355?
802065
What is the smallest common multiple of 200660 and 1016?
401320
What is the lowest common multiple of 498654 and 3989232?
3989232
Calculate the smallest common multiple of 341 and 1646062.
51027922
What is the lowest common multiple of 140720 and 394016?
1970080
Calculate the lowest common multiple of 1272 and 181090930.
2173091160
Calculate the smallest common multiple of 6048 and 326916.
18307296
What is the common denominator of 101/1285198 and 21/787702?
24418762
Calculate the least common multiple of 234 and 60588.
787644
Calculate the common denominator of 29/4053 and 39/22232.
12872328
What is the lowest common multiple of 33027840 and 1098?
33027840
Calculate the least common multiple of 2870970 and 2296776.
11483880
Find the common denominator of 86/20757 and -42/580261.
64408971
What is the common denominator of -13/84 and 109/31531458?
63062916
What is the least common multiple of 3707 and 21053738?
231591118
Calculate the common denominator of 43/2118226 and -49/1023.
196995018
What is the lowest common multiple of 4934300 and 66500?
24671500
What is the lowest common multiple of 1550 and 3636145?
36361450
Find the common denominator of -97/2785038 and 5/1392519.
2785038
What is the common denominator of -73/146610 and 59/1923125?
311546250
What is the common denominator of 7/64688 and 49/24631200?
320205600
What is the common denominator of 47/92 and 81/15203012?
349669276
Calculate the lowest common multiple of 6518961 and 52151688.
52151688
Calculate the smallest common multiple of 2435769 and 189.
7307307
Calculate the least common multiple of 7872 and 1666281.
106641984
What is the lowest common multiple of 19494 and 32921262?
625503978
Find the common denominator of -83/17901506 and 2/6867.
161113554
What is the lowest common multiple of 970258 and 1455387?
2910774
What is the smallest common multiple of 704550 and 3700?
52136700
Find the common denominator of 71/2892 and 33/71130668.
213392004
What is the least common multiple of 801686 and 1734?
2405058
Calculate the common denominator of -26/163963 and 71/4.
655852
What is the lowest common multiple of 28268559 and 18414?
169611354
Calculate the lowest common multiple of 716 and 37796.
6765484
Calculate the least common multiple of 7179180 and 600.
71791800
Calculate the smallest common multiple of 209399590 and 65320.
837598360
What is the lowest common multiple of 880 and 81048?
810480
Find the common denominator of 121/5760 and -149/5052096.
50520960
Calculate the smallest common multiple of 112095 and 19035.
1008855
What is the common denominator of -61/3826608 and -143/106188372?
424753488
Calculate the common denominator of 91/14740 and -83/270010.
5940220
Find the common denominator of 11/847283 and -91/6778264.
6778264
Calculate the common denominator of -119/18 and 145/22872774.
68618322
What is the lowest common multiple of 681999 and 19550638?
58651914
Calculate the common denominator of -53/925 and 43/3950.
146150
Find the common denominator of -17/30 and -77/3492210.
3492210
What is the common denominator of 17/108088764 and 97/246778?
108088764
Calculate the smallest common multiple of 11232325 and 1900.
44929300
What is the lowest com | {
"pile_set_name": "DM Mathematics"
} |
.17
Which is the second biggest value? (a) -649 (b) 1/2 (c) 2/171
c
Which is the fourth biggest value? (a) 8/5 (b) -1 (c) -0.01 (d) -3.42 (e) -2 (f) -0.3 (g) 0
f
What is the fourth biggest value in -18/5, -2/9, -4, 1/9, 179/19, -6?
-18/5
Which is the fourth biggest value? (a) 20780 (b) 168 (c) 0.1 (d) -2
d
Which is the second biggest value? (a) 4.84 (b) -9 (c) -3/2 (d) -10/3621
d
Which is the third biggest value? (a) 0.2 (b) 13/6 (c) -0.14 (d) 0 (e) -4 (f) 48
a
What is the third biggest value in 1/2, 341179, 2, -5?
1/2
What is the biggest value in -3/8, -1769, 2/7, 1.45?
1.45
What is the sixth biggest value in -2/15, 0.09, -2, 5, 3/7, 4, 11/6?
-2/15
Which is the biggest value? (a) -1.8 (b) 14/9 (c) 7544
c
Which is the second biggest value? (a) -0.6 (b) 203 (c) -36 (d) 6/79
d
What is the fourth biggest value in -0.24, 15/73, 18, -211, 4/9?
-0.24
What is the third smallest value in -0.01, -20, -0.087, -3, -1/6, 0.3?
-1/6
Which is the fourth smallest value? (a) -186/4387 (b) -2 (c) -3 (d) 42/5
d
What is the third smallest value in -13, 6.4, -0.2, 0.3, 54?
0.3
Which is the second biggest value? (a) 0.2 (b) 48 (c) 46 (d) -0.308 (e) 4
c
What is the second biggest value in 1/4, -4, -1/9, 1/2, -382, 0.4, 0.3?
0.4
What is the smallest value in 5, 3713, -5811?
-5811
What is the third biggest value in 4, 0.1661, -2.7, 6/11, -1/2?
0.1661
Which is the third smallest value? (a) 4 (b) -1233/79 (c) 0.3
a
Which is the second smallest value? (a) -5 (b) -0.7 (c) 1667.95
b
Which is the fifth smallest value? (a) 11 (b) 2 (c) 0.5 (d) 4344 (e) 90
d
What is the second biggest value in -19, 0.5, 0.0957, 0.616?
0.5
Which is the fifth smallest value? (a) 1/3 (b) -4 (c) 0.1 (d) -4058 (e) 111/19
e
Which is the fourth biggest value? (a) 0.1 (b) 9221 (c) 2/47 (d) 1 (e) -8 (f) -2/7 (g) -1
c
What is the sixth biggest value in -3/8, 2192, -0.017, -3, 1/4, -1/4, 3/2?
-3/8
What is the biggest value in -9568.76, -11, 4?
4
Which is the fourth smallest value? (a) -6 (b) 2 (c) -2/1069 (d) -40 (e) 1 (f) -0.4
c
Which is the third biggest value? (a) 1319 (b) -1/4 (c) 2/17 (d) 2/2619
d
Which is the second smallest value? (a) 11/3 (b) 83/3 (c) -702/11
a
Which is the second smallest value? (a) -1 (b) 0.0729 (c) -20 (d) -5 (e) -0.2 (f) 3
d
Which is the fourth smallest value? (a) -5 (b) -322/3 (c) -3/7 (d) -0.4 (e) 8 (f) -3/4 (g) 0.1
c
Which is the second biggest value? (a) -813 (b) 28/4653 (c) -1
c
Which is the third smallest value? (a) 132222.6 (b) -0.08 (c) -2/19
a
What is the third biggest value in -5, 6, 66, -4.6, 1/2?
1/2
Which is the second smallest value? (a) -3/4 (b) -0.4 (c) -3 (d) 4 (e) -5260/29
c
What is the fourth smallest value in -0.4, 7, 0.07, 1516, -3, 2/13?
2/13
What is the third smallest value in 1/5, 3.1, -0.0168, 2/3, 1/3?
1/3
Which is the second biggest value? (a) -4 (b) 11 (c) -2/5 (d) 4 (e) -1 (f) 2.4 (g) 13.9
b
Which is the fifth smallest value? (a) -2 (b) -44.4 (c) -0.3 (d) 0.29 (e) -1/193
d
What is the fifth smallest value in 2/13, -0.5, -1793154, -5, -3/2?
2/13
Which is the third smallest value? (a) 2 (b) 3 (c) 133 (d) -12 (e) 0.038
a
What is the third smallest value in -139/5, 2/17, -1, 18, -6?
-1
What is the biggest value in 1253.185, -0.3, 2?
1253.185
What is the fourth biggest value in -7, 2/47, -3/37, 8/5, 4, 2/3?
2/47
Which is the smallest value? (a) 97 (b) 10 (c) -1 (d) 0 (e) 5 (f) 22/3
c
Which is the second biggest value? (a) 1 (b) -3/4 (c) 43270 (d) -0.1 (e) 0.4
a
Which is the fourth biggest value? (a) 1/14 (b) 0.3 (c) -545 (d) -612
d
Which is the fourth biggest value? (a) 1835 (b) 4/3 (c) -5 (d) -42001/5
d
Which is the second biggest value? (a) 2/19 (b) 42723 (c) -11
a
Which is the second smallest value? (a) -1557 (b) 0.2 (c) 3 (d) 15 (e) 1 (f) -2
f
What is the second smallest value in -1/81, 16, 245, 5?
5
What is the fourth smallest value in 1/6, 1/10, -42, 1.3, -3, 3/7?
1/6
What is the third biggest value in -2, -2.2, 0.74119, 4?
-2
What is the fifth biggest value in 1/3, 0.3, 0, -3, 0.17, 0.043, -13/6?
0
Which is the second smallest value? (a) -66 (b) 3205 (c) 0.1 (d) -13 (e) -4 (f) 1
d
Which is the biggest value? (a) -4 (b) 0 (c) -94/26625
b
Which is the fourth biggest value? (a) 1/7 (b) 7/6 (c) 12 (d) 1/3 (e) -3
a
Which is the fifth biggest value? (a) -2/41 (b) -40 (c) -1/3 (d) -18083 (e) -0.4
d
Which is the third smallest value? (a) 2545 (b) -196306 (c) -3
a
What is the biggest value in -32/1855723, -3, 0.1?
0.1
What is the fifth smallest value in 7, 1091927, -0.5, -2/3, -2/7?
1091927
What is the fourth smallest value in 7.1735, -5, 8, 3?
8
Which is the second biggest value? (a) 13/40380 (b) 2 (c) -2/9 (d) -2/95
a
What is the third smallest value in 6845, 5, 0.19, -2, 3/7?
3/7
Which is the biggest value? (a) 248 (b) 17.7 (c) 3 (d) -215
a
Which is the fourth smallest value? (a) -1 (b) -2/79 (c) -10 (d) -3/7 (e) 4 (f) -35 (g) -0.2
d
What is the third smallest value in 7, 98.6, 4, -2/5, -0.26?
4
What is the fourth smallest value in 9, -4, 0, 5, -64/5, 1/5, 17?
1/5
What is the biggest value in 0.04, 0.116, 3, 1033, -18?
1033
What is the fourth smallest value in 0, -0.06137179, -1/2, 2?
2
Which is the biggest value? (a) -63 (b) 7 (c) -2058
b
Which is the biggest value? (a) -1/14 (b) -1 (c) -0.45 (d) -7 (e) 1.2
e
Which is the biggest value? (a) -0.04 (b) 2033 (c) -0.74 (d) -2/3
b
What is the fourth smallest value in -129, 0.2, -17630, -0.1, -3?
-0.1
What is the sixth biggest value in -4/9, -1/2, 2, 351, -6, -22, 4?
-6
What is the second smallest value in 0.36, 8/3, 1417.6?
8/3
Which is the second smallest value? (a) 4/489 (b) 0.05 (c) 776
b
What is the biggest value in 4, 1/5, 2/835, -4/5, -4.413?
4
What is the fourth biggest value in 3, 71.1, 0, 1/2, -35?
0
What is the biggest value in 1/4, 0.0353, -44.3?
1/4
What is the biggest value in 5, 3, -2/29, 0.5, -0.5, 3594.7?
3594.7
What is the smallest value in 3/2, 5, -44.234, 1, 1.4?
-44.234
Which is the third biggest value? (a) -0.436257 (b) -0.3 (c) 2
a
Which is the fifth smallest value? (a) 2/103 (b) 22530 (c) -0.1 (d) 4/3 (e) -0.2 (f) 5
f
Which is the sixth biggest value? (a) -2/9 (b) 0.27 (c) 1/3 (d) -560 (e) 0.2 (f) -4
d
What is the third biggest value in 0.096, -3/5, 241, 2?
0.096
Which is the fifth smallest value? (a) -3 (b) -0.5 (c) -2/11 (d) -1/3 (e) -2/75 (f) 2.5 (g) -5.01
c
What is the sixth smallest value in 4, -121179, -4/9, 0.2, -1/3, -4?
4
Which is the biggest value? (a) 8 (b) -3 (c) -51.947 (d) -4
a
What is the sixth biggest value in -0.03, -3/2, 9, 74, 5, -22, 1/3?
-3/2
Which is the fifth biggest value? (a) 42 (b) -4 (c) 50/9 (d) 1/316 (e) 0.3
b
Which is the third smallest value? (a) 0.1 (b) -0.6 (c) 4254
c
What is the third biggest value in -8, 0.15, 0.26, 93, 0?
0.15
Which is the sixth biggest value? (a) -0.4 (b) 2 (c) 1159 (d) -7 (e) -8/3 (f) -5 (g) -0.5
f
What is the third smallest value in -170, 552, -0.2?
552
Which is the smallest value? (a) 2/337 (b) 0.0202 (c) 14 (d) -2/3
d
Which is the second smallest value? (a) -1.4 (b) 124/5 (c) 2/1287 (d) 0.4
c
Which is the fourth smallest value? (a) -0.05 (b) 3 (c) 1785/8 (d) -2/13 (e) 5 (f) -3 (g) -0.2
a
Which is the fourth biggest value? (a) -5 (b) 31 (c) 2/23 (d) -0.4 (e) 6 (f) 6.5
c
Which is the second smallest value? (a) 118800 (b) 2/21 (c) 0.4
c
What is the fourth smallest value in -4, -79713, -1/4, -1.29?
-1/4
What is the fourth smallest value in 2, 4/883, 3/4, -45, 5?
2
What is the third biggest value in -1, -0.033, 824, -26/33?
-26/33
Which is the sixth biggest value? (a) -0.1 (b) 3 (c) 0.02 (d) 66/5 (e) -13 (f) -2 (g) 2
f
What is the fifth smallest value in -0.5, 2, 1/1886, -2, -2/7, 5, -4/7?
1/1886
What is the fourth biggest value in -0.5, 111, 101/3, -4, -0.2, 2/7?
-0.2
What is the third smallest value in 1/18, 3, -1742232?
3
Which is the smallest value? (a) -13 (b) -2/15 (c) -9/4 (d) -3 (e) -343
e
What is the third biggest value in 1/3, 74, 36, 70?
36
Which is the third smallest value? (a) -873/11 (b) -0.2 (c) 2/131 (d) -4 (e) 0 (f) 3 (g) 10
b
What | {
"pile_set_name": "DM Mathematics"
} |
-3*g + 9 = u, g + 2*g - h = -2*u. What is y(g)?
-1
Suppose 0 = h + 3*z + 13, -2*z + z - 6 = 2*h. Let j(x) = -5*x + 4 + 0*x - 3. What is j(h)?
6
Let n = 8 + -13. Let r = -2 - n. Let v(w) = 2*w - 4. Calculate v(r).
2
Suppose -16*g = -20*g + 12. Let d(f) = f**3 - 4*f**2 + 2*f + 3. Calculate d(g).
0
Suppose -2*z - 2*z = -8. Let l(d) = 4*d - 5*d + z*d. Calculate l(5).
5
Let x = -4 + 4. Let g(y) = y**3. Calculate g(x).
0
Suppose -5*o + 2 + 3 = 0. Let z be 3/(-12) + o/4. Let k(w) = 4*w**2 - 10*w - 19. Let s(u) = -3*u**2 + 7*u + 13. Let v(l) = 5*k(l) + 7*s(l). Give v(z).
-4
Let d(f) be the third derivative of f**4/24 + f**3/6 + 4*f**2. Calculate d(-4).
-3
Let m = 6 + -3. Let x(g) = -5 + m + g + 0. Calculate x(4).
2
Let i(n) be the first derivative of 5/2*n**2 + 1 - 1/3*n**3 + 2*n. Let w = -8 + 13. Determine i(w).
2
Let v(l) = -3*l - 8. Let n(i) = -5*i - 12. Let w(h) = 5*n(h) - 8*v(h). Determine w(0).
4
Let z = 96 + -93. Let n(i) = -i - 2. Calculate n(z).
-5
Let s(i) be the first derivative of -i**4/4 - i**3 + 5*i**2/2 - 3*i + 1. Let o be 6/(-2) + (-2)/2. What is s(o)?
-7
Suppose -x + 15 = 4*x. Let s = x - 4. Let g(q) be the second derivative of q**5/4 - q**3/6 - q. Calculate g(s).
-4
Suppose 10 = -4*p - 2. Let g(j) = -1 + 10*j + j**3 - 7*j + 4*j**2 + 1 - 2. Calculate g(p).
-2
Suppose 7 - 1 = 3*w. Let u = 1 - w. Let z(l) = -9*l**2 + 2*l + 2. Let m(p) = -9*p**2 + 3*p + 3. Let v(y) = -2*m(y) + 3*z(y). Give v(u).
-9
Let i(u) be the third derivative of u**4/24 + u**3/2 - 2*u**2. Let v(s) = 2*s**2 + 1. Let j be v(-1). Suppose -5*d = -j*x + 22, x = -d - 5 - 1. What is i(d)?
-2
Suppose -2*w = p - 14, -19 = -3*p - 2*w + 35. Suppose -p = -0*a - 5*a. Let m(t) = t**3 - 5*t**2 + 4*t - 1. Give m(a).
-1
Let s(q) = -38*q**2 - 3*q + 39*q**2 + 6*q - 5. Determine s(-5).
5
Let v(l) = l**2 - 4*l - 3. Suppose 5*y + 0*t + t - 20 = 0, 16 = 4*y - t. Calculate v(y).
-3
Let v(z) be the second derivative of -z + 0 - 1/6*z**4 - 1/120*z**5 + 0*z**3 + 0*z**2 - 1/90*z**6. Let n(j) be the third derivative of v(j). What is n(1)?
-9
Let r(a) = a**2 - 26*a + 6. Let s(p) = -3*p + p - 3*p + 1. Let c(j) = -2*r(j) + 11*s(j). Determine c(-2).
-3
Suppose 0 = 17*m - 10*m - 49. Let h(f) = -2*f + 4. What is h(m)?
-10
Let j(g) be the third derivative of g**7/2520 - g**6/720 - g**5/30 - g**4/24 - 4*g**2. Let c(m) be the second derivative of j(m). Calculate c(0).
-4
Let j(i) = -i + 0*i - 2 + 4*i + 1. Let g(s) = -s**2 - 4*s + 2. Let k be g(-4). Let y be (-2)/(2 + (-2 - k)). Give j(y).
2
Suppose -4 = -8*v + 4*v - 2*q, 0 = 2*q + 4. Let a(m) be the third derivative of -3*m**v + 1/24*m**4 + 0 - 4/3*m**3 + 0*m. Calculate a(0).
-8
Let g(s) = 2*s - 6. Let r be (-1)/2*20/(-2). Let o be g(r). Let q(n) = -2 + 3*n + 4*n**2 - 1 - 6*n**2 + n**2. What is q(o)?
-7
Let l(c) = c**3 - 4*c. Let t(u) = u**3 + u**2 - 3*u + 1. Let h(o) = 4*l(o) - 5*t(o). Calculate h(-4).
-17
Let w(h) = 3*h**2 + h + 5. Let y(n) = -4*n**2 - n - 7. Let d(r) = -7*w(r) - 5*y(r). What is d(-2)?
0
Let j(c) be the first derivative of c**2 + 5*c - 3. Suppose -z = 0, -1 = v - z + 4. Determine j(v).
-5
Let i(n) = -1. Let c(z) be the third derivative of -z**6/120 + z**5/60 - z**4/24 - z**3 + 2*z**2. Let x(m) = -c(m) + 5*i(m). Let v = 3 + -1. Give x(v).
7
Let c = 17 + -13. Let t(q) be the third derivative of 0 + 1/6*q**3 + 1/24*q**c + 0*q + q**2. What is t(0)?
1
Suppose 3*n + 2 = s, -4*s - 2*n - 38 = -s. Let t = s + 12. Let m(y) = -2*y**3 + 2*y**2 + 3*y - 3. What is m(t)?
-5
Let n(p) = -p**2 - 5*p + 6. Let r be n(-6). Let t(c) = -445*c + 10 + 222*c + 222*c - 3*c**2 + 4*c**2. Determine t(r).
10
Let h(w) = -8 + 0 + 3 + w. Calculate h(0).
-5
Let b(k) = -21*k + 5. Let f(g) = -5*g + 1. Let w = -9 - 0. Let c(m) = w*f(m) + 2*b(m). Suppose v + 2 = 3*v. Calculate c(v).
4
Let w(o) = o**2 - 5*o + 4. Let y = 7 + -7. Suppose -2*d - 4*z + 28 = y, -d + 2*z + 3*z - 21 = 0. Give w(d).
0
Let b(j) = 4*j**3 - j**2 + 3*j + 1. Let o(n) = 5*n**3 + 4*n + n**3 - n**3 + 1 - n**2. Let i(m) = -3*b(m) + 2*o(m). Determine i(-1).
3
Let r(y) = y**2 + 3*y - 3. Suppose -3*l + 16 = 5*u, -4*l - 2*u + 18 = 3*u. What is r(l)?
7
Let v(b) = -3*b**3 + 11*b**2 + 8*b + 3. Let z(u) = u**3 - u**2 - u - 1. Let j(p) = -v(p) - 4*z(p). Give j(-6).
-11
Let t(f) be the third derivative of -1/12*f**4 + 0*f + 1/120*f**6 + 0 + 1/15*f**5 - 2*f**2 - 2/3*f**3. Let x(v) = v - 8. Let a be x(4). Calculate t(a).
4
Let h(c) = c**3 + 6*c**2 + 5*c + 4. Let p(i) = i**2 - 3*i + 1. Let k be p(1). Let u be (-75)/k*1/3. Suppose -2*b = -5*a + u, -8 = 5*b - 4*b - a. Determine h(b).
4
Let d(s) = 5*s + 4. Let f(v) = -1. Let u(w) = d(w) + 4*f(w). Determine u(2).
10
Let b(t) = 0*t + t + 4*t + 2 + 0*t**2 - t**2. What is b(3)?
8
Let m(j) be the third derivative of j**5/60 - 5*j**4/24 + j**3/2 - 4*j**2. What is m(3)?
-3
Let d(t) = -t**2 + 2*t. Let r = -13 + 15. Calculate d(r).
0
Let p be ((-2)/(-3))/((-4)/6). Let d(v) be the first derivative of -7*v**3/3 + v**2 + v - 1. Determine d(p).
-8
Let l(k) be the first derivative of k**4/4 + 2*k**3/3 - k**2 - 4*k + 21. Suppose 3*i = -2*u - 18, -20 = 7*i - 2*i. Calculate l(u).
-7
Let z = -4 + 6. Suppose 4*c - 4*m = -9*m - 10, 4 = -2*m. Let q(t) = c*t - z + 11 + t. Give q(0).
9
Let t(p) = -p**3 - 6*p**2 - 2. Let d be t(-6). Let m(k) = -5*k. Give m(d).
10
Let m(g) = 3*g + 1. Let j(r) = r. Let y(b) = -7*j(b) + 2*m(b). Let o be y(0). Let p(f) = 2*f - 3*f - o - 1 + 0. Give p(-3).
0
Let s(b) be the second derivative of -b**6/360 - b**5/24 + b**4/6 - b**3/2 + 6*b. Let n(k) be the second derivative of s(k). Give n(-6).
-2
Let q be 4/(-14) - 57/21. Let p = q + 4. Let m be 3 - p*(-1)/1. Let z(a) = -a**2 + 6*a - 5. Give z(m).
3
Let z(v) = v + 4. Suppose 6*l - 30 - 114 = 0. Let q = -31 + l. Calculate z(q).
-3
Let r(g) be the first derivative of -g**2/2 - 2*g + 1. Let t be ((-10)/4 - -3)*6. Suppose d - t = -1. What is r(d)?
-4
Let o(n) be the second derivative of n**5/20 - n**4/2 + n**3/2 - 3*n**2/2 - 4*n. Calculate o(6).
15
Let w(h) be the first derivative of -h**4/12 + h**3/2 + 2*h**2 - 3*h + 1. Let z(m) be the first derivative of w(m). Determine z(3).
4
Let x(b) = -5*b**3 + 2*b**2 - 6*b + 9. Let i(o) = -10 - 3*o**2 - 4*o**2 + 4*o**3 + 2*o**3 + 7*o + 4*o**2. Let n(f) = 6*i(f) + 7*x(f). What is n(3)?
-6
Let y(c) be the first derivative of -c**2 - 4*c + 166. Let o(h) = h**2 - 6*h - 3. Let a be o(6). Give y(a).
2
Suppose -q = -3 + 4. Let f(d) = d**2 - d + 1. Let t(v) = -v + 2. Let w(p) = f(p) - t(p). Calculate w(q).
0
Let h = 2 + -4. Let s be ((-21)/9 - h)*-15. Let g(d) = -4 + 0*d + 7*d - s*d. Calculate g(4).
4
Let m(l) = -4*l**3 - 9*l**2 - 3*l - 6. Let d(u) = 5*u**3 + 10*u**2 + 3*u + 6. Let v(z) = -3*d(z) - 4*m(z). Determine v(-6).
-12
Let l be (-1)/(-2*(-3)/(-102)). Suppose 0 = -2*t + 5*d + l + 10, 5*d = t - 26. Let v(m) = -5*m**3 + m**2 - 1. Give v(t).
-5
Let y(o) be the third derivative of o**4/24 + o**3/2 + 34*o**2. Calculate y(-8).
-5
Let b = -7 + 12. Suppose b*f = l + l - 5, 4*f + 4*l = -32. Let d(u) be the third derivative of u**4/12 - u**3/6 - 12*u**2. Calculate d(f).
-7
Let m(t) = -55*t - 1 - 57*t + 4 + 110*t. Let v be (-30)/(-7) + 4/(-14). Calculate m(v).
-5
Suppose 3 = -3*n + 3*j - 0, -10 = n + 2*j. Let m(a) = -a**3 - 3*a**2 + 5*a + 1. Calculate m(n).
-3
Let k(m) = -m**2 + 2. Let q be (0 + 2)*1/1. Suppose l = 4*h + 1, -h = l + l - q. Suppose h = -5*s + 20, d + 4*s - 4 = 12. Give k(d).
2
Let m(v) = -v - 5. Let a(g) = -g - 4. Let o be a(-7). Suppose o*y = -3*r + 18, -5*y - 4*r + 15 = -19. Suppose i + i + y = 0. Give m(i).
0
Suppose 0*t = t - 6. Let x(j) = -j + 9. Determine x(t).
3
Let z(j) = -j**2 - 11*j - 10. Let g(n) = -2*n**2 - 21*n - 20. Let b(m) = -3*g(m) + 5*z(m). Determine b(-7).
3
Suppose 3*t = -3, 2*a - 4*t = -4 - 2. Let m(b) = -4*b + 2*b**2 + b**2 + 5 - 4*b**2. What is m(a)?
0
Let x(q) = 7*q - 1. Let k be x(1). Let v(i) = -1 + 4*i + 5 - k*i. Determine v(5).
-6
Let a(t) = -2*t. Let b(l) = -2*l + 1. Let f(y) = 4*a(y) - 6*b(y). Let v(u) = -5*u + 7. Let q(n) = -4*f(n) - 3*v(n). Calculate q(3).
0
Let a(q) = -2*q - 2. Let x(y) = -y + 9. Let z(h) = -5*h + 35. Let o(u) = 9*x(u) - 2*z(u). Let r be o(-6). Suppose 23 = -r*f + 3. What is a(f)?
6
Let s(z) = -z**2 + 7*z + 1. Let m be s(7). Let v(j) = -5*j + 1. Determine v(m).
-4
Let b(d) = d**2 - 5*d - 7. Let q be b(5). Suppose w = -5*t + | {
"pile_set_name": "DM Mathematics"
} |
*x - 4. Let k(t) = -t**3 - t - 4. Let d be k(0). Let o be u(d). What is the greatest common divisor of 8 and o?
8
Let c(w) = -w**3 + 7. Let k be c(0). Let x(o) = -o**3 + 8 - o + 8*o**2 - 2*o - o. Let f be x(6). Calculate the highest common divisor of k and f.
7
Let g be 5/(1*(-2)/(-14)). Let b(u) = u**3 - 7*u**2 + 7*u - 1. Suppose 0*a = -2*a + 12. Let d be b(a). What is the highest common divisor of g and d?
5
Suppose 3*z - 2*w = 100, -w + 0*w - 130 = -4*z. What is the greatest common divisor of z and 16?
16
Let b = -2 + -2. Let c be (418/b)/((-2)/4). Calculate the highest common factor of c and 19.
19
Suppose -2*a + 3*f = 7, -2*f + 6*f = 20. Suppose 0 = -r - a*o + 207, -4*r + 3*o + 468 = -360. Calculate the greatest common divisor of r and 23.
23
Suppose 4*h + 0*d - 412 = d, h - 5*d - 84 = 0. What is the highest common factor of h and 39?
13
Let z(w) = w + 9. Let j be z(-7). Let f(p) = p**3 + 2*p**2 - 3*p + 2. Let n be f(j). What is the highest common factor of 96 and n?
12
Let y be (-1 + -5)*(4 + -6). What is the highest common divisor of 48 and y?
12
Let h = -8 - -28. What is the highest common divisor of h and 160?
20
Suppose 3*r = i + 1 - 6, 4*r - 5*i = 8. Let b = r - -4. Let p = 9 - b. What is the highest common divisor of 40 and p?
8
Let c = -1 - -1. Suppose -5*z + 0*z + 205 = c. Suppose -a - b = -16, -2*b - z - 5 = -4*a. What is the greatest common factor of 65 and a?
13
Suppose 9*r - 13*r = 0. Suppose -3*v + 8 + 4 = 5*y, -5*y = r. What is the highest common divisor of 2 and v?
2
Suppose t + 18 = -2*t. Let o = t + 12. Calculate the highest common factor of o and 48.
6
Suppose 10*a - 11*a = -23. Calculate the highest common factor of a and 23.
23
Let i(v) = -v**3 - 5*v**2 - 5*v + 7. Let r be i(-5). Suppose 19 = 5*k - u, -2*k - u + 0*u = -9. What is the highest common divisor of k and r?
4
Let l = 124 + -40. Calculate the greatest common divisor of 12 and l.
12
Let x be ((-2)/3)/((-4)/18). Suppose 0 = -x*l + 361 + 398. What is the greatest common factor of 23 and l?
23
Let c(b) = 16*b**3 - 8*b**2 + 3*b + 5. Let q(v) = -v**3 + v**2 - 1. Let h(a) = c(a) + 6*q(a). Let y be h(2). What is the highest common factor of y and 11?
11
Suppose -28 = 5*a - 163. What is the highest common divisor of a and 3?
3
Suppose -39 = -a - 4*u + 2, -3*a + 43 = -4*u. Calculate the highest common divisor of 105 and a.
21
Let b(k) = -k**2 + 12. Suppose 2*o + 2*o = 0. Let w be b(o). Calculate the greatest common factor of 48 and w.
12
Let z be 1 - (-1 + (-1 - -1)). Suppose -z*h = -71 - 9. Calculate the greatest common factor of h and 10.
10
Suppose 2*z + 3 = 7. Suppose -z*a = -3*j - 116 + 420, -5*a = -20. What is the highest common factor of j and 13?
13
Let l(d) = -53*d - 1. Let n be l(-2). Let c = n + 0. Let t = 104 + c. Calculate the highest common divisor of 19 and t.
19
Suppose 2*k - 17 = -3*j, 0*k - 3*j - 11 = -5*k. Calculate the greatest common factor of 2 and k.
2
Let l(r) = 3*r + 2. Let n be l(4). Suppose 4*p + 2*m - 30 = p, -5*p - 2*m = -50. Let x be ((-168)/p)/((-4)/30). What is the highest common divisor of n and x?
14
Suppose 5*t + 3*s - 212 = 0, s + 2*s = 5*t - 188. Calculate the greatest common divisor of 5 and t.
5
Let w = 38 + 42. Calculate the greatest common factor of 32 and w.
16
Suppose -3*b + 2*s + 42 = -b, -5*b + 2*s = -96. What is the highest common factor of 12 and b?
6
Let q(d) be the third derivative of d**5/4 + d**4/24 + d**3/6 + d**2. Let f be q(-1). What is the greatest common factor of 6 and f?
3
Let w(r) = -r**3 - 5*r**2 - 6*r - 5. Let v be w(-4). What is the greatest common divisor of 3 and v?
3
Suppose 3 + 22 = 5*q. Let p be 6/15*q/1. Suppose -p*b = -4*b + 12. What is the greatest common divisor of b and 6?
6
Suppose n - 3 = q - 16, 3*q = -n + 47. Calculate the highest common factor of 195 and q.
15
Suppose 5*c - 135 = -n, 0 = -3*c + 4*n + 38 + 43. Let d = c + -13. Calculate the highest common divisor of 14 and d.
14
Let i be 6/(1 + 1/(-4)). Suppose o = 4*o - 15, -52 = -4*s - 4*o. What is the highest common divisor of i and s?
8
Let b = 6 + -4. Suppose -116 = -4*h + v, h + b*v + 0*v - 38 = 0. Calculate the greatest common factor of h and 45.
15
Let h(n) = -3*n - 6. Let d be h(-4). Suppose -34 = -4*x - 10. Suppose 0 = -x*i + 5*i + 66. What is the highest common divisor of d and i?
6
Suppose 0 = j + 2 - 11. Calculate the greatest common factor of j and 81.
9
Suppose -2*i - 2*v + 15 = i, 2*i - 21 = -5*v. Suppose -2*c + 7 = -5. What is the greatest common divisor of c and i?
3
Suppose -3*u + 0 = -3, 4*g + 3*u = 51. Let q(t) = t + 132. Let z be q(0). Calculate the highest common divisor of z and g.
12
Suppose -11*h + 48 = -8*h. Suppose 5*y - 319 = z, -55 + 370 = 5*y - 5*z. What is the greatest common factor of h and y?
16
Suppose -528 = -4*j - 0*j. What is the greatest common divisor of j and 12?
12
Let w be -3 + 3 + -4 - -8. Calculate the highest common factor of w and 44.
4
Let c(f) = -6*f - 1. Let z be c(-1). Suppose -b - 13 = 3*i + 1, 0 = z*i + 25. Suppose 2*x + 5 = 11. What is the greatest common divisor of x and b?
1
Suppose -5*o + 91 = -39. What is the greatest common factor of o and 234?
26
Suppose 4*l + 5*o + 7 = 3*l, 0 = -4*l + 2*o + 82. Let d = -1 + l. Suppose -5*v + 85 = -2*t, 4*t = 3*v - 74 + 23. What is the greatest common divisor of d and v?
17
Suppose -3*m - 15 = -6*m. Let o(b) = 6*b + 6. Let d be o(m). Suppose 5*k - 121 = -u, 0*k + 4*k + 5*u - 101 = 0. Calculate the highest common factor of d and k.
12
Let z be (-5 + 7)*(-585)/(-6). Calculate the greatest common factor of z and 15.
15
Let b = 22 - 14. Let f(n) = n**3 - 11*n**2 - 7*n + 4. Let s be f(12). Calculate the highest common factor of b and s.
8
Let u = -5 - -5. Suppose u = x - 17 - 13. What is the greatest common divisor of 6 and x?
6
Let w be (-8)/52 - (-914)/26. Calculate the highest common divisor of 5 and w.
5
Suppose 2*v - 3*v + 117 = 0. What is the greatest common factor of 13 and v?
13
Let n(u) = u**2 - 7*u - 10. Let a be n(-8). Suppose -35 - 21 = -2*j - 5*f, 5*j + 5*f - a = 0. Calculate the highest common factor of 198 and j.
18
Let u(j) = -2*j + 4. Let r be u(-4). Let i be 160/r*(4 - 1). Let c be -2*1*5/(-2). What is the highest common factor of i and c?
5
Let y be 2/2*(2 + 1). Let z = 0 + y. Let q(f) = f**3 - 2*f**2. Let k be q(z). What is the greatest common factor of 72 and k?
9
Let s = 33 - 3. What is the greatest common divisor of s and 45?
15
Let u = 18 - 13. Suppose 4*c = u*c - 24. Let r = -5 + 11. Calculate the greatest common divisor of r and c.
6
Let c(d) = -2*d**3 + 2*d**3 + 4*d**2 - 3*d + d**3. Let x be c(-4). Calculate the greatest common factor of x and 108.
12
Let a be (1 - 5)*3/(-4). Suppose -5*m - f + 6*f = -30, 2 = 2*m + a*f. Let h(x) = 3*x - 17. Let l be h(7). Calculate the greatest common factor of m and l.
4
Let m be 0/(-3 + 6 + -1). Suppose m*l = 5*l - 15. What is the greatest common factor of 24 and l?
3
Suppose -2*h + 0*h = -20. Let l(f) = f + 9. Let u be l(h). Calculate the highest common factor of 133 and u.
19
Let m = 143 - 73. Calculate the greatest common factor of m and 175.
35
Suppose p - 42 = -u, 4*u - 5*u = -4*p + 163. Let o be 4/1 - (6 - p). Suppose 4*s = -66 + 170. Calculate the greatest common divisor of o and s.
13
Let b = 6 + 0. Let k = b - 2. Suppose 0 = -2*p + 15 + 5. Calculate the greatest common factor of k and p.
2
Let x(n) = 0 - 4*n - 6*n**3 + 7*n**2 - 3 + 7*n**3. Let f be x(-7). Calculate the highest common divisor of f and 75.
25
Let h be (-140)/42*6/(-4). Suppose 0 = 2*j - 19 - h. Suppose -4*x + 3*x + 36 = 0. Calculate the greatest common factor of x and j.
12
Let w be -1*(-3 + 0/2). Let p be (66/(-8))/(-3 + (-11)/(-4)). What is the highest common factor of w and p?
3
Suppose 3*n + 159 = 3*k, 3*k - 129 = -5*n + 2*n. Suppose 3*o + k = 5*o. Let q be 15*(-2 + (-24)/(-10)). Calculate the highest common factor of o and q.
6
Suppose 7*g - 2258 = -25. Calculate the greatest common factor of 29 and g.
29
Suppose -d + 83 + 1 = 0. Let y be (-1 - (0 - 1))/(-1). Suppose 3*z + 4*p = p + 42, -5*z + 2*p + 56 = y. Calculate the greatest common factor of d and z.
12
Let k = 11 - -1. Let d = 82 + -79. Calculate the highest common divisor of d and k.
3
Let s = 10 - 2. Let t(d) = -d**2 + 5*d + 8. Let j be t(6). Suppose -4 | {
"pile_set_name": "DM Mathematics"
} |
be 6/(-2)*(-1 + 0). Solve -5 = -4*q + o*b - 2, 0 = -q - 2*b + 9 for q.
3
Suppose 5*a + 30 = d - 2*d, 2*d + 46 = -3*a. Let i be (2/5)/((-2)/d). Solve 2*x + i*c = 18, -x + 2*c - 5 = 2 for x.
1
Let b be (-163)/11 + 8/(-44). Let k be (-3)/b - (-207)/15. Solve 2*h + k = 2*m, 0 = -3*m + 7 - 1 for h.
-5
Suppose 5*x - 4 = -3*o, o = 2*x - x + 12. Let i be 6/9 - o/(-6). Solve l - 14 = 3*f, 3*f + l = i*f - 2 for f.
-4
Suppose -t - 8 = -5*a, 3*a - 6 = -5*t + 6*t. Solve l = -1, 4*j + 3*l - 2 + a = 0 for j.
1
Let y(m) = -m**2 + 11*m + 6. Let j be y(10). Solve -1 = -w + 4*u, -u + 2*u = -3*w + j for w.
5
Suppose 0 = -4*n + 9*n. Solve 3*m + 0 = -3, -4*b + 2*m - 10 = n for b.
-3
Suppose 3*j - 5*h - 1 = 0, 5*j - 5*h = 3*j - 1. Solve 3*x = -3*o, 3*o + 2*x = j*o - 2 for o.
2
Let o = -16 + 13. Let f = 2 - o. Solve 0 = k + f, 4*c - 5*k + 3 = 12 for c.
-4
Suppose 0 = -4*c - 3*b + 29, 4*b - b = 2*c - 1. Solve 5*y - c = -g, 4*y = 3*g + 2*g + 33 for y.
2
Let j = -76 + 79. Solve -3*s - 25 = -2*w, 5*w = -j*s + 16 - 6 for w.
5
Let n be 5*2/(-5)*(4 + -5). Solve 0 = -2*t + 3*r - 0*r + n, -3*r = 6 for t.
-2
Suppose -105 = -4*h + 43. Let v(n) = -n**3 - 6*n**2 - 2*n - 9. Let c be v(-6). Solve x = 4*x - 5*u + h, -2*x = c*u - 7 for x.
-4
Let t(v) = -v**2 + 8*v - 12. Let q(n) = -2*n - 1. Let x be q(-3). Let f be t(x). Solve -y + s = -3, -f*y - 4*s + 17 = s for y.
4
Suppose 5*f - 33 = -23. Solve -3*o = -2*g - 11, 1 = f*o - 4*g - 9 for o.
3
Let t = 1 - -2. Suppose -t*q = q - 12. Suppose 3*k + 4 - 25 = -q*s, 4*k - 28 = -5*s. Solve -10 = 2*l + 2*l - w, -5*w - k = -l for l.
-3
Let j be 1/((-6)/(-9) - 1). Let c be j*3/(-9)*3. Let z be (-1 - -2 - c) + 6. Solve 3*d + 2*u + 0 = -1, z*u + 8 = -4*d for d.
3
Suppose -5*s - a - 1 + 2 = 0, -5*s - 1 = -a. Let q be 2/9 + 21/27. Let l be 0 - (q - s) - -4. Solve 6 = -2*x + 3*d, -x - 4*d + 6 = -l*x for x.
-3
Suppose 2*v = 3 + 5. Solve 3*j + d - 6 = 0, 2*d = -j + 3*j + v for j.
1
Let w = 45 - 43. Solve o + 7 = j - 0, -w*j + 8 = 0 for o.
-3
Let w(s) = -s**2 + 5*s + 2. Let x be w(5). Let b = 6 - x. Solve -2*k = -10, -f - b*k + 0*k = -22 for f.
2
Let y(f) = -8 - 3*f - 2*f + 19. Let q(o) = -2*o + 4. Let k(h) = 17*q(h) - 6*y(h). Let g be k(-2). Solve 4*c + 2 + g = 4*n, 2*c + 4*n + 18 = 0 for c.
-5
Suppose 3 = -w - 5*u - 4, 44 = 4*w - 4*u. Let v(y) = -y**3 + 7*y**2 + 8*y. Let r be v(w). Let q = -8 - -28. Solve q = -4*z + a - 0, r = -a for z.
-5
Suppose -h + 3 = -0. Solve x - 6 = 3*g, -h*g - 10 = 2*g + 5*x for g.
-2
Let a = 10 - 8. Solve 2*b - a = -4*k + 4*b, 0 = 3*k + 5*b + 5 for k.
0
Let p = -1 - -5. Solve -3*q - p*a - a = 31, 0 = 2*q - 3*a - 11 for q.
-2
Suppose 5*f + 7 = -8, 0 = -4*i + 3*f + 37. Suppose 4*s - 7*s = 0. Solve -t - 5*d + 4 + 13 = s, i = 2*t + d for t.
2
Let a = 7 + -4. Let y be a - 0/(1 - -2). Solve -5*q - 5*o = 20, -3*q + 2*o = -1 + y for q.
-2
Let a be (14/4)/(3/6). Solve j - a = -4*f + 2*j, 2*f + 4*j - 26 = 0 for f.
3
Suppose -5*x = 2*l - 24, -5*l + 36 = 3*x - 24. Let j = -7 + l. Solve -2*q - q = -t, 12 = 3*q - j*t for q.
-1
Suppose 0 = -7*c + 15 + 20. Solve -f - 5 = -0*r - 3*r, 0 = c*f - 4*r + 25 for f.
-5
Let q = 35 + -29. Solve -4*x = o - 21, 4 = 2*o - q for x.
4
Let i(h) = -9*h - 6. Let m(k) = -10*k - 7. Let j(p) = -5*i(p) + 4*m(p). Let y be j(3). Solve 2*z + z = -w - y, 2*z + 8 = w for z.
-5
Suppose 10 = -5*l, 37 = -3*q - l - 28. Let p = q - -41. Solve -2*h + 4 = -s, -5*s - 3*h = 2*h + p for s.
-4
Let v(i) = -i**2 - 7*i + 21. Let m be v(-9). Solve 0 = 2*q - m*d - 5, 3*q - 5*d = 2*q + 20 for q.
-5
Suppose -3*l + 66 = 3*g, -10 = -5*g + 5. Let q = l + -5. Let t be (-17)/(-4) + 3/(-12). Solve 3*u + 18 = i + t*i, 2*u = 4*i - q for i.
3
Suppose 5*a - 15 = 0, 0 - 18 = -3*m - 2*a. Solve -u + 15 = m*u, 0 = 3*n + 4*u - 18 for n.
2
Let j be (3/(-6))/(2/(-12)). Suppose -3*b = 3*d - 21, 2*d - 13 = j*b - 4. Let f be 20/d + (-2)/6. Solve 3*x - 5*s = -7, -3*x = -x - f*s + 4 for x.
1
Let m be (6 + -3 + -5)*-2. Suppose 6 = m*y - 10. Solve -4*x + 1 = 4*t - 3, 0 = y*t - 3*x - 18 for t.
3
Let t(u) = 5*u - 17. Let k be t(4). Solve 5*r = 2*a - 17, 2*a = -k*r - 5 - 18 for r.
-5
Let h = 79 + -52. Solve 2*n + h = -3*r + 5*n, n - 5 = 0 for r.
-4
Suppose -3*h + l = -11, -11 = -2*h + 3*l + 8. Suppose -5*y - 6 - 14 = -5*k, 4*y = -2*k + h. Solve -5*u - 3*o - 10 = 2*o, -5*u + 2*o - k = 0 for u.
-1
Suppose -34 = -4*s - 2*x, -8*x + 4*x = 2*s - 26. Suppose d - 1 = 2. Solve 2*j + u = s, 4*j - d*j - 4*u = 17 for j.
5
Suppose 0 = 2*t + 3*c + 6, t - 12 = 5*t + 3*c. Let b be 9/t + (11 - 5). Solve b*j + 2*h = 17, 0 = 4*j - 3*h + 4*h - 21 for j.
5
Let m be ((-2)/4)/(1/(-10)). Suppose -2*k + 3*i + 10 = 6*i, 0 = -4*k - 4*i + 16. Suppose -20 = -2*z - k*z. Solve m*o = 5*a - z, -o - 8 = o - 4*a for o.
2
Suppose -2*t = -4*n - 0*t + 20, 4*n + t - 20 = 0. Solve n*a + 2 = -5*u - 3, -4*u - 2*a = 2 for u.
0
Let k(d) = d**2 + 14*d + 3. Let r be k(-14). Solve w - q = 2 - 4, r*q = w for w.
-3
Let u be (-12)/3 - (-11 + 15/5). Solve 4*x - 5*n = -1, 2*x - u*n + 5 = 3*x for x.
1
Let g be (-16)/1 + (-5 - -5). Let t be (-4)/14 - g/7. Solve -16 = -5*f + 3*z, 2*f + z + 2*z + t = 0 for f.
2
Suppose b = 3*m - 1, 4*m + 0*m - 3*b - 3 = 0. Solve -2*z + m*k + k + 4 = 0, 0 = 4*k - 16 for z.
4
Let u(p) = -3*p - 1. Let y be u(-2). Solve -b + 9 = 2*g, 9 = 3*g - y*g + 5*b for g.
3
Let m(v) be the first derivative of v**4/2 - 4. Let r be (-6)/4*(-4)/6. Let u be m(r). Solve h = 3*s + 1, u*h - 5*h - 7 = -4*s for s.
-2
Suppose -v - 5*t + 13 = v, -25 = -5*v - 5*t. Suppose -v*z - 2*b + b = -16, b + 12 = 3*z. Solve 0 = 5*x - z*q - 0*q + 5, 3*x + 4*q = -35 for x.
-5
Suppose 11 - 56 = -3*o. Solve 5*m - 29 = -s, -4*s + o = s - m for s.
4
Let f = -16 + 21. Solve -3 + 7 = -4*o - 2*s, -f*o = -4*s - 8 for o.
0
Let a(b) = b**2 + 2*b + 1. Let y be a(-3). Solve -2*d - d - 2 = -2*h, -18 = y*d + 5*h for d.
-2
Let f(l) = l - 2. Let p be f(8). Suppose -8*u + 18 = -p*u. Solve 0 = -5*k + 3*h - u, 4*k - 4 - 11 = -5*h for k.
0
Let f = 61 - 57. Solve 5*r + 0*r = -2*c - 25, 3*r - c = -f for r.
-3
Let z(r) = -2*r + 5 + 6 + r. Suppose 3*x - 21 = 6. Let y be z(x). Solve 0 = 5*h - 5*m + 45, -5*m + 32 = -4*h - y*m for h.
-5
Suppose -l + 19 = -r - 6*l, -r = -l - 5. Let d be 9/2*6/9. Let q(i) = 3*i - 4. Let v be q(d). Solve -2*s - 11 = -a, -r = -a - s - v for a.
1
Suppose 3 = 4*y - 5. Suppose -4*n = 0, 5*d + 0*n - 5 = y*n. Solve -5*j + v + 15 = 0, -j - v + d = -8 for j.
4
Let k(x) = x**2 - 2*x - 1. Let t be k(3). Let z = -4 + 5. Let u be 4 + -1*z/1. Solve -i + 4*h = -8, t = -u*h + h for i.
4
Let u = 2 - 0. Suppose 0*k + 3*r + 3 = 3*k, -u*r = k - 10. Solve 5*f + 1 = -3*g - 2, -4*f - k*g + 4 = 0 for f.
-3
Let t = 0 - -2. Suppose t*a + 4*x - 6 = 0, 7 = 3*a - x - 2. Solve 5*d - o = 29, a*d - 5*o - 25 = 2*d for d.
5
Let a = 20 + -16. Solve -2*g - 35 = -6*g - 5*c, 0 = -5*g + a*c + 13 for g.
5
Suppose a + 3*a + 2 = -n, 3*n - 5*a = 11. Let r be 2/5*10/n. Solve r*j = -4*s - 16, -s = s + 6 for j.
-2
Let j be (-1)/3*(0 + -3). Suppose -d + j + 3 = 0. Solve -4*f = n - 2*f - 13, -3*n - d*f = -29 for n.
3
Suppose -22 = -4*c + 2*d, -c + 2*d = -0 - 10. Suppose -2*a + c = -6. Solve -2*z - a*u + 2 + 5 = 0, -11 = -z - 5*u for z.
-4
Let t = -8 + 4. Let n be 25/10 + (-2)/t. Solve 0 = 3*y + 2*l - n*l - 14, 22 = 4*y - 3*l for y.
4
Let i be (-7)/(-1)*10/35. Solve 3*w - 5*v + 5 = -3, i*v = -5*w + 28 for w.
4
Suppose -2*d + 12 = 2*d. Solve 3*y + 2*v - 10 = 0, d*v + 15 = 5*y + 6*v for y.
0
Suppose 0*t + 5*t - 10 = 0. Suppose 0 = t*b - 7*b - 10, 0 = 3*g - 2*b - 19. Solve g*h - 12 = 2*h - 3*i, -3*h = -i for h.
1
Suppose -4*w - w - 2*q = -59, 4*w = 4*q + 64. Suppose 2*h - w = 3*d, -4*h + h + 11 = 4*d. Solve h*j = 3*y + 19, -5*j + 0 = 3*y - 1 for j.
2
Let t(q) be the first derivative of -q**4 + q**2/2 + q - 3. Let r be t(-1). Solve -3*d - 3*z = 0, 0*d - r*d + 5*z - 9 = 0 for d.
-1
Let k(o) = 5*o**2 - o. Let s be k(-1). Let a = s + -6. Solve -p - 6 = -3*y, 3*y + a = -p + 6 for p.
0
Let o = -7 - -15. Let c be (2 + o/(-4))/(-1). Solve c = -3*n + 5*x - 6, -x + 3 = n - 3 for n.
3
Suppose 13 = u + 3. Let a = u + -1. Solve 6 = -2*g + d - 1, -a = 2*g + d for g.
-4
Let d(f) = f**2 + 12*f + 13. Let p be d(-11). Let s(i) = i**2 + 5*i + 6. Let j be s(-5). Solve 5*a + 5 = v - j*v, 5 = -p*a - 3*v for a.
2
Let i be 6/3 + (-2)/(-2). Suppose -2*j = -i - 1. Solve j*c = -3*v + 11, - | {
"pile_set_name": "DM Mathematics"
} |
rd derivative of -8632178*p**4 - 363434213*p**2 wrt p.
-207172272*p
What is the second derivative of -507*r**2*y**3 + 5*r**2*y + 116*r**2 + 5*r*y - 156669*y**3 - 5*y - 103 wrt y?
-3042*r**2*y - 940014*y
Find the third derivative of -22385285*n**4*w + n**2*w - 111*n**2 + 20*n*w - n + 2*w + 16 wrt n.
-537246840*n*w
What is the derivative of 297567562*t - 33452830?
297567562
What is the third derivative of -506*d**3*t*v + 2551*d**3*v - 1175*d**2*t*v + 82*d**2*t + 2*t*v - 3*v wrt d?
-3036*t*v + 15306*v
Differentiate 2*x**4 - 10401628*x**2 - 10572290 with respect to x.
8*x**3 - 20803256*x
Find the third derivative of 140355718*n**3 + 10032*n**2 - 2748 wrt n.
842134308
What is the second derivative of -15101941*q**5 + 104*q + 5503?
-302038820*q**3
What is the second derivative of -227909080*q**2 + 41012802*q - 2?
-455818160
What is the third derivative of -5587910*i**4 - 1194155*i**2?
-134109840*i
Differentiate 31496145*o + 9079734.
31496145
What is the third derivative of -48*x**4 + 2561803*x**3 - 13170*x**2 - 5399 wrt x?
-1152*x + 15370818
What is the first derivative of 33*q**2 + 68473*q + 17753886?
66*q + 68473
What is the third derivative of 19*b**4 + 96212*b**3*u**3 + 2*b**2*u + b**2 + 13*u**3 + 1167702*u**2 wrt b?
456*b + 577272*u**3
What is the derivative of -5725*a*q - 40569*a + 455*q - 20496 wrt a?
-5725*q - 40569
What is the derivative of 2*h*k**3 - 2380*h*k**2 + 48*h*k - 2*h + k**3 - 3*k**2 - 826*k - 3 wrt h?
2*k**3 - 2380*k**2 + 48*k - 2
Find the third derivative of -111179*n**4 + 6*n**3 + 792*n**2 + 4*n + 46.
-2668296*n + 36
What is the derivative of -46*f**4 - 80437*f**3 + 25250100?
-184*f**3 - 241311*f**2
What is the third derivative of -578*h**3*w*x**3 - 2*h**3*x**3 + 1511*h**3 + 7976*h**2*w*x**3 + h**2*w*x**2 - h**2*x**2 - 5*h*x**3 - 3*w + x**2 wrt h?
-3468*w*x**3 - 12*x**3 + 9066
What is the third derivative of -9*g**5 + g**4 - 21677*g**3 + 10203980*g**2?
-540*g**2 + 24*g - 130062
What is the second derivative of 2449*l*r**2*w**2 + 6*l*r**2*w - 379*l*r**2 + 3*l*r - 86*l*w + 216*w**2 wrt w?
4898*l*r**2 + 432
Find the third derivative of -846624908*d**3 + 2384*d**2 - 198*d - 159 wrt d.
-5079749448
Find the first derivative of -1328558*d**2 - 20692519 wrt d.
-2657116*d
Find the first derivative of 19*v**2*y + 160856*v**2 + 5*v*y + 15223633*y wrt v.
38*v*y + 321712*v + 5*y
Find the third derivative of -5505*j**5 + 285*j**4 - 2224267*j**2.
-330300*j**2 + 6840*j
What is the third derivative of -15215032*c**3*i - 19*c**2 - 37*c*i + 18*i - 51 wrt c?
-91290192*i
Find the second derivative of 1756*m**3 + 1119*m**2 + 1039947*m + 22 wrt m.
10536*m + 2238
Find the third derivative of 22232144*b**4 + 31655957*b**2 wrt b.
533571456*b
Differentiate 159339237*p + 291658140.
159339237
What is the second derivative of -5*g**3*t + g**3 - 754375*g**2*t + 88311*g*t - g + 339*t wrt g?
-30*g*t + 6*g - 1508750*t
What is the third derivative of -70598620*m**2*y**3 + 358*m**2*y - 728*m*y**2 + m*y + 9*m - y**2 wrt y?
-423591720*m**2
What is the second derivative of -35*d**3 + 73*d**2*t**2 - 2291*d**2*t + 34*d*t**2 - 2*d*t - 2*d - 2*t**2 + 174*t + 10 wrt d?
-210*d + 146*t**2 - 4582*t
Differentiate -131596661*k*m - 245821145*k - m with respect to m.
-131596661*k - 1
What is the third derivative of -5370*c**2*z**3 + 168*c**2 + c*d*z - 3*c*d - 12*c*z**2 + 23883*d*z**3 - 3*d*z + 247 wrt z?
-32220*c**2 + 143298*d
What is the second derivative of 15354*c*d**2*j**2 - 3*c*d*j**2 + 2*c*d + 10*d**3*j**2 - 993*d**3*j - 7*d**2*j - 3*d wrt j?
30708*c*d**2 - 6*c*d + 20*d**3
What is the second derivative of -3*l**4 - 702299*l**3 + 41*l**2 + 185089448*l wrt l?
-36*l**2 - 4213794*l + 82
Find the third derivative of 4864*b**2*u**4 - 2*b**2*u**2 + 516294*b**2 + 3079*b*u**3 - b*u - 1 wrt u.
116736*b**2*u + 18474*b
What is the derivative of -1515440986*a**2 - 179919945 wrt a?
-3030881972*a
Differentiate -935884894*r + 161404169 with respect to r.
-935884894
What is the second derivative of 10*c**4*f**2*w - 523794*c**2*f*w + 2*c*f**2*w - 13*c*f*w - 2*c*f + 5*c*w - 64062*f**2 wrt c?
120*c**2*f**2*w - 1047588*f*w
What is the second derivative of 17472457*w**3 - 2*w**2 - 26*w + 81740?
104834742*w - 4
What is the third derivative of 22835434*j**3*u**2 + 8429*j**2*u - 2*j**2 - j*u - 17*u**2 wrt j?
137012604*u**2
Find the third derivative of -6374366*v**3 - 181596407*v**2 wrt v.
-38246196
What is the second derivative of -6731549*j**2 - 8789728*j wrt j?
-13463098
What is the first derivative of -63*f**4 + 76941*f*t**2 - 13253052*t**2 wrt f?
-252*f**3 + 76941*t**2
What is the third derivative of -30812635*h**3 - 1571*h**2 + 2523*h?
-184875810
Find the first derivative of -2*c**3 + 382840*c**2 + 646*c - 1216008568 wrt c.
-6*c**2 + 765680*c + 646
Find the third derivative of -64*y**6 - 42591*y**5 - 2*y**3 + 191961465*y**2 wrt y.
-7680*y**3 - 2555460*y**2 - 12
What is the derivative of -7365*r**4 + 23*r**2 + 23782266 wrt r?
-29460*r**3 + 46*r
Find the second derivative of -d**5*z + 12380575*d**4*z - 40525455*d*z wrt d.
-20*d**3*z + 148566900*d**2*z
Find the third derivative of 132096046*i*z**3 + 99*i*z**2 - 532869*z**2 wrt z.
792576276*i
What is the first derivative of -16328333*q*s + 59642762*q wrt s?
-16328333*q
Find the second derivative of -19*n**4 + 2*n**3 - 2168763*n**2 - 588786*n + 14.
-228*n**2 + 12*n - 4337526
Find the third derivative of -12*l*p**3*u**3 - 1273382*l*p**3*u + 94*l*p*u**2 + 4*l*u**3 + 19082*p**2*u wrt p.
-72*l*u**3 - 7640292*l*u
What is the derivative of -812457*b**2 + 37828589 wrt b?
-1624914*b
Find the second derivative of -559898*j**5 - 217*j**4 - 13972424*j.
-11197960*j**3 - 2604*j**2
Find the second derivative of -22196*c*x**2 + 43512*c*x + 2*c + 9*x**2 - x wrt x.
-44392*c + 18
What is the second derivative of -6026959*b**3 - 1632114*b wrt b?
-36161754*b
What is the second derivative of 40631406*f**3*h**3 + 15*f**3 + 7*f**2*h - 66197*f - 2*h wrt h?
243788436*f**3*h
What is the first derivative of p**4 + 2400998*p - 94524681?
4*p**3 + 2400998
Find the third derivative of -62734269*c**3*q - 2*c**2 - 2*c*q - 473*c + 3*q + 4 wrt c.
-376405614*q
What is the third derivative of -23363361*l**6 + 65420*l**2 + 89?
-2803603320*l**3
Find the first derivative of 12730757*r**2 - 3*r + 578538549 wrt r.
25461514*r - 3
Find the third derivative of 26*g**3*i**2*n - 9477415*g**3*n**3 - 2*g**2*i**2 + g**2*i - 29690*g*i**2*n**3 - 3*i**2*n + 46*n**3 wrt g.
156*i**2*n - 56864490*n**3
Find the third derivative of -a**6 - 7517173*a**4 + 4400779*a**2.
-120*a**3 - 180412152*a
Find the first derivative of -210448176*l + 486043024.
-210448176
Find the first derivative of 170062*w**3 + 173*w - 331655461.
510186*w**2 + 173
What is the derivative of 91376514*k - 342903615?
91376514
Find the third derivative of 151*k*v**5 + 28584*k*v**4 - 6*k*v**2 - 7948*k + v**2 - 5 wrt v.
9060*k*v**2 + 686016*k*v
What is the first derivative of -o**3*r - 2844*o**3 - o**2 - 1309153*o*r + 1309*o + 2 wrt r?
-o**3 - 1309153*o
Find the second derivative of 12708203*t**5 - 72155876*t wrt t.
254164060*t**3
Find the second derivative of -656102391*t**2 - 816746815*t.
-1312204782
What is the first derivative of 16436890*h*j**2 - 62494*h + 100 wrt j?
32873780*h*j
What is the third derivative of 905*h**5 - 188*h**4 - 14*h**3 - 39582292*h**2 + 1?
54300*h**2 - 4512*h - 84
What is the derivative of 43295*n*t**2 + 4*n*t - 7010*n + 3*t**2 + 2*t - 9901 wrt t?
86590*n*t + 4*n + 6*t + 2
Find the third derivative of 67473169*l**5 + 545*l**2 + 111 wrt l.
4048390140*l**2
Find the third derivative of -84902432*w**5 - 437*w**2 - w + 233061.
-5094145920*w**2
Find the first derivative of -225*q**2 - 1646010*q + 363377103 wrt q.
-450*q - 1646010
Find the first derivative of j*o**3 - 8352*j*o**2 - 1957*j*o + j + 1388*o**3 - 17*o**2 - 23 wrt j.
o**3 - 8352*o**2 - 1957*o + 1
Differentiate -255*b**2*j - 31018*b**2 + 3*b + 350867*j - 22 with respect to b.
-510*b*j - 62036*b + 3
Find the first derivative of -25188395*w - 198239682 wrt w.
-25188395
Find the first derivative of 491*l**2*p + 1762839*l**2 + 7*l*p**2 - 125*l*p + 18*l wrt p.
491*l**2 + 14*l*p - 125*l
Find the second derivative of -710447053*o**2 + 10637106*o + 6.
-1420894106
What is the first derivative of -11*l**3*n*x**2 + 3*l**3*n + 20*l**3*x + l**3 - 25*l**2*x**2 - 13*l** | {
"pile_set_name": "DM Mathematics"
} |
actor f(x).
(x - 4)*(x + 1)/2
Let 16*n**4 - 478*n**3 + 2*n - 14*n**4 + 16*n + 500*n**3 + 38*n**2 = 0. Calculate n.
-9, -1, 0
Suppose -2*v - s + 4 = -2, -5*v + 4*s + 15 = 0. Solve 4/17 + 0*c**2 + 2/17*c**v - 6/17*c = 0.
-2, 1
Let z(t) = 100*t - 298. Let s be z(3). Factor -9/4*w**s + 12*w - 15/4.
-3*(w - 5)*(3*w - 1)/4
Let y be (-1)/2 + 5/2. Suppose -5*x + 388 = -y*m, 172 = 2*x - 4*m - m. Factor x*l**2 - 47*l**2 + 4*l - 24*l**3 - 35*l**2 - 14*l**4.
-2*l*(l + 1)**2*(7*l - 2)
Let v(o) be the second derivative of 2*o**6/15 + 7*o**5/5 + 5*o**4/3 - 14*o**3/3 - 12*o**2 + 5*o - 4. Factor v(i).
4*(i - 1)*(i + 1)**2*(i + 6)
Suppose 0 = 22*x + 39*x - 90*x. Factor -2/3*w**4 + 0*w + 4/3*w**2 + x + 14/9*w**3.
-2*w**2*(w - 3)*(3*w + 2)/9
Suppose -2*d + 1 = 29. Let t = d - -15. Suppose -t + 5*x**2 - 3*x**2 - x**2 = 0. What is x?
-1, 1
Factor -6/5*p**3 + 4/5*p**2 + 0 - 1/5*p**5 + 8/5*p - p**4.
-p*(p - 1)*(p + 2)**3/5
Let a = 5/51 - -118/357. Suppose -12/7*s - a*s**2 - 9/7 = 0. Calculate s.
-3, -1
Let w = 161/1038 + 2/173. Let a(u) be the first derivative of w*u**4 + 4/27*u**3 + 2 + 0*u**2 - 1/9*u**6 - 4/45*u**5 + 0*u. Find i, given that a(i) = 0.
-1, -2/3, 0, 1
Let p(r) = 6*r**3 - 345*r**2 + 1147*r - 780. Let b(m) = -5*m**3 + 230*m**2 - 765*m + 520. Let x(f) = 7*b(f) + 5*p(f). Suppose x(s) = 0. Calculate s.
-26, 1, 2
Suppose 0 = 5*y + 2*q + 12, 3*y + 3*q + 9 = -0*y. Let s be 1*(-2 - 0 - y). Solve l**4 + 19*l**2 - 20*l**2 + l**3 - l + s*l**3 = 0.
-1, 0, 1
Let y(n) be the first derivative of 3*n**4/20 + 2*n**3/5 - 3*n**2/10 - 6*n/5 - 106. Suppose y(u) = 0. Calculate u.
-2, -1, 1
Let x(l) be the second derivative of l**4/28 + 2*l**3/7 - 18*l**2/7 - 11*l - 1. Solve x(p) = 0 for p.
-6, 2
Let v = 68413/2 - 34206. Factor 1/4*i**2 - 3/4*i + v.
(i - 2)*(i - 1)/4
Let r = -12276 - -12278. Let i(u) = u**3 - 4*u**2 - u + 4. Let v be i(4). Factor v*l + 2/3*l**r - 8/3.
2*(l - 2)*(l + 2)/3
Let t(x) be the third derivative of 2*x**2 + 1/360*x**5 + 0 + 1/48*x**4 + 1/18*x**3 - 5*x. Find g, given that t(g) = 0.
-2, -1
Let k = -256 - -101. Let w = k + 155. Factor 0 + 1/4*i**3 - 1/4*i**5 - 1/4*i**2 + w*i + 1/4*i**4.
-i**2*(i - 1)**2*(i + 1)/4
Let u(j) = -j + 3. Let i be u(-3). Let d be i - (-3)/(1 + -2). Determine c so that 18*c**2 + 6 - 1 + 2*c + 10*c + 3*c**4 - 2 + 12*c**d = 0.
-1
Let d(k) be the third derivative of k**6/72 + k**5/9 + 5*k**4/18 + 189*k**2. Solve d(z) = 0 for z.
-2, 0
Let h(a) be the second derivative of a**7/3780 + a**6/540 + a**5/180 + a**4/12 - 7*a. Let c(x) be the third derivative of h(x). Factor c(p).
2*(p + 1)**2/3
Let l(k) be the second derivative of 5/102*k**4 + 0*k**2 - 2/85*k**5 - 2/51*k**3 - 12*k + 1/255*k**6 + 0. Determine i, given that l(i) = 0.
0, 1, 2
Let y(b) = b**5 - 4*b**4 + 7*b**2 - b + 3. Let x(m) = -4*m**4 + 6*m**2 + 2. Let t = 61 + -63. Let w(r) = t*y(r) + 3*x(r). Find j, given that w(j) = 0.
-1, 0, 1
Let l(w) be the first derivative of 9 + 3/28*w**4 + 0*w + 5/21*w**3 + 1/7*w**2. What is q in l(q) = 0?
-1, -2/3, 0
Suppose -35/8*t - 17/4 - 1/8*t**2 = 0. What is t?
-34, -1
Let o = -17092 - -17092. Factor 5/2*r**3 + 0*r**2 + 0 + o*r.
5*r**3/2
Let o(p) be the third derivative of -p**11/332640 + p**10/151200 + p**9/10080 + 11*p**5/20 - 25*p**2. Let m(a) be the third derivative of o(a). Factor m(x).
-x**3*(x - 3)*(x + 2)
Let o(q) be the third derivative of -12/35*q**5 + 0 + 49*q**2 - 1/2205*q**7 + 0*q + 13/630*q**6 + 27/14*q**4 + 81/7*q**3. Factor o(h).
-2*(h - 9)**3*(h + 1)/21
Let t(v) be the third derivative of -5*v**9/3024 - v**8/168 + v**6/36 + v**5/24 - 7*v**3/6 - 9*v**2. Let k(d) be the first derivative of t(d). Factor k(w).
-5*w*(w - 1)*(w + 1)**3
Determine x so that 25/2 + 1/2*x**2 - 5*x = 0.
5
Let a = -17954 + 89782/5. Solve 9/5 - a*z + 3/5*z**2 = 0.
1, 3
Factor 2/3*v**4 + 32/3 - 6*v**3 - 24*v + 56/3*v**2.
2*(v - 4)*(v - 2)**2*(v - 1)/3
Factor 107/8*t - 9/4 - 21/2*t**2 - 5/8*t**3.
-(t - 1)*(t + 18)*(5*t - 1)/8
Let m(t) = -2*t**2 - 66*t. Let q be m(-33). What is y in 0*y + q - 1/6*y**2 = 0?
0
Suppose 0 = -6*z + 67 - 49. Let h(b) be the second derivative of 0 + z*b - 1/3*b**3 - 7/12*b**4 - 1/5*b**5 + 1/2*b**2. Let h(t) = 0. Calculate t.
-1, 1/4
Let u(m) be the first derivative of 5*m**6/6 + 16*m**5 + 90*m**4 - 1080*m**2 + 84. Suppose u(x) = 0. Calculate x.
-6, 0, 2
Let f be (-14 + -2 + 1)*-1. Let w be (-3)/((-42)/40) + (-14)/(-98). Find j such that -4 - 3*j + f*j + 12 - j**3 - w*j**3 = 0.
-1, 2
Let a = 543 - 543. Let c(r) be the second derivative of 1/15*r**3 - 1/90*r**4 + 5*r + a - 2/15*r**2. Factor c(x).
-2*(x - 2)*(x - 1)/15
Let r(p) be the second derivative of p**8/11200 - p**7/1400 - p**6/300 - 25*p**4/12 + 5*p. Let m(y) be the third derivative of r(y). Let m(o) = 0. What is o?
-1, 0, 4
Factor 11/5*p - 6/5 - 1/5*p**3 - 4/5*p**2.
-(p - 1)**2*(p + 6)/5
Determine c so that -272*c - 27 - 33 + 312*c - 5*c**2 = 0.
2, 6
Let c(k) be the second derivative of k**5/10 - k**4/6 - 2*k**3/3 - 153*k + 1. What is u in c(u) = 0?
-1, 0, 2
Let n(v) be the third derivative of v**5/20 - 17*v**4/2 + 67*v**3/2 + 21*v**2 - 5. Factor n(w).
3*(w - 67)*(w - 1)
Let w(k) = 3*k**3 - 5*k**2 - 13*k. Let p(d) = -d**3 + 2*d**2 + 4*d. Let o(f) = 11*p(f) + 4*w(f). Let o(m) = 0. Calculate m.
-4, 0, 2
Let t(d) = d**2 - d - 4. Let g be t(-2). Determine z, given that 0*z**3 + 12*z - 3*z**3 + 3*z**g - z**2 + 7*z**2 = 0.
-1, 0, 4
Suppose -6*f - 16 = -2*f, -5*w + 3 = 3*f. Factor 11 + 14*t - 3*t - w*t**2 + 10*t + 13.
-3*(t - 8)*(t + 1)
Factor -423*g**2 - 140704 - 79056 + 9*g**3 + 19881*g + 797 - 6*g**3 - 92506.
3*(g - 47)**3
Factor 1424*f**2 + 19258*f**2 + 3*f**5 + 2187 + 122*f**5 + 2475*f**4 + 14310*f**3 + 14338*f - 2917*f.
(f + 9)**2*(5*f + 3)**3
Suppose -15 = 2*b - 5*w + 8, 5*b + 26 = 2*w. Let k(o) = -o**3 - 2*o**2 + 5*o + 3. Let l be k(b). Factor 3*g**3 - 3*g**3 + l*g - 15 + 3*g**3 + 21 + 12*g**2.
3*(g + 1)**2*(g + 2)
Let w be (1*(0 - -4))/2. Factor -7*g - 233 + g**w + 233.
g*(g - 7)
Let b be (-2)/3 - 154/(-42). Let j = 52 + -37. Factor 13 + 26*m**b - j*m**4 - 6*m - 3 + 9*m**3 - 9*m - 15*m**2.
-5*(m - 1)**3*(3*m + 2)
Let v = 1157 - 1154. Suppose 0 - 16/3*k - 8/3*k**2 + 7/3*k**v - 1/3*k**4 = 0. Calculate k.
-1, 0, 4
Let u be 2/7 + 54/(-189). Let k(h) be the second derivative of 1/160*h**5 + 7*h + 0*h**4 - 1/48*h**3 + 0 + u*h**2. Solve k(b) = 0 for b.
-1, 0, 1
Let m = 235333/5 + -47338. Let b = m + 273. Find r, given that 2/5*r**4 - 6/5*r**3 + b*r + 0*r**2 + 0 = 0.
-1, 0, 2
Suppose 0 = 2*a - 23 + 19. Suppose -116*n - 5*n**3 + 11*n - 48*n**a + 26 + 24 = 0. Calculate n.
-5, 2/5
Factor -142*r + 2/3*r**2 + 0.
2*r*(r - 213)/3
Find j, given that -9*j + 31*j - 12*j**3 + 10*j**3 + 20*j**2 = 0.
-1, 0, 11
Let g = 55/2 + -26. Let f = g - 1. Factor 1/2*h**2 + 0*h - f.
(h - 1)*(h + 1)/2
Suppose 0 = -4*x - 5*s + 2, 499*s + 19 = 3*x + 494*s. Factor 40/3 + 32/3*j**2 - 76/3*j + 4/3*j**x.
4*(j - 1)**2*(j + 10)/3
Let r(v) = 7*v**3 - 11*v**2 - 38*v - 20. Let z(y) = 4*y**3 - 5*y**2 - 19*y - 10. Let m(i) = -6*r(i) + 10*z(i). Determine w so that m(w) = 0.
-1, 10
Suppose 0*w - 1/4*w**4 + 0 + 17/4*w**3 - 4*w**2 = 0. What is w?
0, 1, 16
Suppose 695*v = 345*v + 326*v. Factor 4/5*h + v - 6/5*h**2 + 2/5*h**3.
2*h*(h - 2)*(h - 1)/5
Let o = 11 + -13. Let g be (2/3)/(o/(-9)). Find p, given that -18*p**4 - 6*p**2 + 15*p**3 - g*p**4 + p**3 + 11*p**3 = 0.
0, 2/7, 1
Let y(m) = -13*m**3 + 151*m**2 - 1574*m - 1723. Let n(t) = -63*t**3 + 753*t**2 - 7872*t - 8616. Let x(d) = 5*n(d) - 24*y(d). Factor x(w).
-3*(w - 24)**2*(w + 1)
Let t be ((-4 - -124)/4)/((-3)/(-2)). Suppose 22*h - 4 = t*h. Factor -1/2*y - 1/2*y**3 - y**h + 0.
-y*(y + 1)**2/2
Suppose 2*j = 5*s - 86, 26 = 2*s + 2*j - 0*j. Suppose 5*a + s = -2*z, 4*a + 0 = -16. Suppose -3/7*x**3 - 6/7*x**z + 0 - 3/7*x = 0. Calculate x.
-1, 0
What is z in 25*z + 7*z + 2*z**2 - 8 - 9 - 17 = 0?
-17, 1
Let c be -39 + 40 - (2 + -1 - 2). What is m in 15*m**2 - 4*m**c + 16*m + 8*m**2 + 4 + 6*m**3 = 0?
-2, -2/3, -1/2
Let m(n) be the second derivative of -n**8/53760 + n**6/5760 + n**4 + 11*n. Let p(x) be the third derivative of m(x). Factor p(v).
-v*(v - 1)*(v + 1)/8
Let r(q) = -q**3 + 3*q**2 + q - 4. Let y be (-2 - 1) + (8 - (-3 - -6)). Let w be r(y). What is i in -4/7*i + 2/7 + 2/7*i**w = 0?
1
Let j = 36287/15 - 2419. Factor -4/5 - 2/3*b - j*b**2.
-2*(b + 2)*(b + 3)/15
Let | {
"pile_set_name": "DM Mathematics"
} |
**4 + 32*k**4 + 2*k**2 - 74*k**4 - k**5 + 1.
3*k**5 + k**4 + 2*k**2 + 1
Expand (1 - 1 - 1)*(-z + 3*z - 4*z) + (-40*z - 31 + 31)*(-6 + 5 + 2).
-38*z
Expand (-2 - 2 + 6)*(9 - 6 + 3)*(0*t + 3*t - t)*(-t**2 + 3*t**2 - 3*t**2)*(-3*t**2 + 4*t**2 + t**2).
-48*t**5
Expand (18 + 11*r - 18)*(-18*r + 5*r - 11*r) - 2*r**2 - 3*r**2 + 6*r**2 + 0*r**2 + 4*r**2 - 2*r**2 - 3*r + 3*r + 2*r**2 + (4*r - 3*r - 3*r)*(0*r - 3*r + 2*r).
-257*r**2
Expand (-2*w - 2*w**4 + 2*w)*(-2 + 0 + 0) + (-52*w**3 + 50*w**3 - 68*w**3)*(2*w - 3*w + 0*w).
74*w**4
Expand (3 - 1 - 4 + 5 + 1 - 4 - 4 + 5 + 1 - 3 - 2 + 7 + 2 - 4 + 1 + (-1 + 6 - 4)*(-2 + 0 + 4) + 4 - 1 - 2 + 3 + 0 - 5)*(1439*w**3 - 1047*w**3 - 1039*w**3 + 2).
-2588*w**3 + 8
Expand ((-y + 3*y - y)*(1 + 1 - 4) + 4 + y - 4 + (41 - 7 + 16)*(y - 6*y + 2*y))*(-1 - 2 + 6).
-453*y
Expand 2*h - 2*h - 3*h + (-5 + 2 + 2)*(1 - 1 + h) - 3*h + 2*h - h + 15*h + 80 - 80.
9*h
Expand -2*k**3 + 3*k - 3*k + (-5 + 1 + 1)*(-2*k**3 - 2 + 2) + k**2 - k**2 - 2*k**3 + (-k**2 + 3 - 3)*(k + 1 - 1) + (-2*k + k + 2*k)*(-2 + 2*k**2 + 2).
3*k**3
Expand (8*h - 4*h - 6*h)*(17 - 8 - 5).
-8*h
Expand (2*o**2 - 6*o**2 - 97*o**3 + 4*o**2)*(-7*o**2 + o**2 + o**2).
485*o**5
Expand -3*q + 133*q + 4*q + (-3 + 0 + 1)*(q + 1 - 1) - q + 2 - 2 - 2*q - 2*q + 2*q - q + 2*q - 3*q + 0*q - 2*q + 4*q + q - 2 + 2.
130*q
Expand (96 + 60 + 64)*(-2 + 2 - k)*(-k**4 - k**4 + 0*k**4).
440*k**5
Expand (-34*u**4 + 1163*u**3 - 1163*u**3)*(0*u - 3*u + 2*u)*(-1 + 2 + 1).
68*u**5
Expand (27*y**3 + 27*y**3 - 110*y**3 + 14*y**3)*(-3*y**2 + 2*y**2 - 9*y**2).
420*y**5
Expand (28*c + 14*c - 25*c)*(0*c - 13*c + 0 + 1) + 2*c**2 - 2*c**2 + 2*c**2.
-219*c**2 + 17*c
Expand (-9*t + 3*t**2 + 9*t)*(30 + 45 - 16 + 3 + 89).
453*t**2
Expand 6*w**4 + 106*w**4 - 111*w**4 - 3*w**2 - 185 + (0*w - w + 0*w)*(2*w - 2*w + 2*w**3).
-w**4 - 3*w**2 - 185
Expand (-1 + 1 - 2*b)*(-145*b**3 + 55*b**3 - 201*b**3).
582*b**4
Expand (-3*w**2 - 1 + 1)*(-13 + 13 + 20*w**2)*(17 + w - 17).
-60*w**5
Expand (-6*q + 4*q + 4*q)*(1 - 1 - 2*q**3) + 1612 - 1612 - 45*q**4 + (-3 + 2*q + 3)*(q**2 + 0*q**2 + q**2)*(-2*q + 0 + 0).
-57*q**4
Expand 603 - 301 + 4*f**2 - 322 - f**2 + 2 - 2 + 3*f**2 + 3*f**2 - 5*f**2 + (2*f - f - 3*f)*(-2*f - f + 2*f) - f**2 + f**2 - f**2.
5*f**2 - 20
Expand (25*n + 53*n + 29*n)*(-6 + 2 + 2)*(1 + 2 - 1).
-428*n
Expand (7*y + 2 - y - 4*y)*(8*y - 179 + 179).
16*y**2 + 16*y
Expand (-3 - 3 + 16*p**2 - 5 - 6*p**2)*(-3*p + 2*p + 4*p).
30*p**3 - 33*p
Expand (-9*g + 4*g - 4*g)*((4 - 1 - 4)*(2 - 1 - 3) + 5 - 3 + 1).
-45*g
Expand (4*u + 7*u - 6*u)*(-2*u + 5*u - u + 0*u + u - 3*u + (1 + 2 - 5)*(0*u - u - u) + 2*u - 2*u + u + 0 + 0 + 2*u + 0*u + 0*u + u + 0 + 0 + u).
45*u**2
Expand (2*x + 0*x - x)*(501 + 18 - 100).
419*x
Expand (-5 + 2 + 2)*(2*q**2 + 165959 - 165959 + q + q**3 + 9*q**4).
-9*q**4 - q**3 - 2*q**2 - q
Expand (39 - 5*i - 80 + 33)*(2 - 6 + 2)*(1 + 1 + 1).
30*i + 48
Expand (6*u + 25 - 3*u**2 - 6*u)*(-4*u + 5*u + 5*u).
-18*u**3 + 150*u
Expand -3*v + 3*v + 2 + v + (-6 - 1 + 2)*(-70 - v + 28 + 28).
6*v + 72
Expand 7*i - 114*i - 36*i + 9*i + (-3 + 2*i + 3)*(3 - 3 - 1) - 6*i + 4*i + 3*i.
-135*i
Expand (-1455 + 417 - 93 - 850 - 978)*(2*t**2 + 0*t**2 - t**2).
-2959*t**2
Expand (-49 - 132 - 305)*(2*b**4 - 5*b**4 + 2*b**4).
486*b**4
Expand (-7*s - 16*s + 25*s)*(13 - 13 + 19).
38*s
Expand (5 - 4 + 2)*(-13 - 14 + 5)*(2*h**2 + 0*h**2 - 4*h**2).
132*h**2
Expand (0 + 0 - g**4)*(-1 - 2 + 1) - 136*g + 360*g**4 + 136*g.
362*g**4
Expand 34*i**5 - 42*i**5 + 2*i**3 - i**3 - 2*i**5 + 4*i**5 - 4*i**5 + (-1 - i**3 + 1)*(3 - 3 - i**2).
-9*i**5 + i**3
Expand ((-2 + 4 + 0)*(2*q - 2*q - 2*q) - 13*q + 49*q + 24*q + 3*q + 2*q - 4*q)*(1 + q - 1).
57*q**2
Expand (-2*j**4 - 7*j + 0*j**4 + 0*j)*(-37*j + 3*j - 38*j + (-5 + 4 - 1)*(2 - 2*j - 2)).
136*j**5 + 476*j**2
Expand (0 - 2 - 1)*(-5*u + 4*u + 2*u)*(0 - 3*u + 0 + (2 - 2 + u)*(-2 + 3 + 5)).
-9*u**2
Expand (-3*x**2 + 3 - 3)*(2*x - 2*x - 2*x)*(0 + 0 - 1)*(-1 + 6 + 1).
-36*x**3
Expand (-63*g + 174*g - 47*g)*(1 + 0 + 1) + 5*g - 4*g - 3*g.
126*g
Expand -4*v + 4*v + v + (3 + 1 - 6)*(4*v - 6*v + v) + 17 - 6*v - 17 - 2 + 2*v + 2 + (2 + v - 2)*(-3 - 4 + 2).
-6*v
Expand (-110*b - 109*b + 221*b + 47)*(2*b**3 - b**3 + 0*b**3).
2*b**4 + 47*b**3
Expand (-41 + 41 + 358*w + 1099*w + 301*w)*(2*w - 2*w - 2*w).
-3516*w**2
Expand (-c**2 + 0*c**2 - c**2)*((c + 2*c + c)*(5 - 4 - 3 + (1 + 0 - 2)*(-1 + 4 - 2)) + 31 + 7*c - 31).
10*c**3
Expand (-2*f - 2*f + 2*f)*(-1 + 0 - 20) - 1 - 2*f + 4*f - 5*f.
39*f - 1
Expand 33*g - 67 + 33 + 32 + (3*g + 2*g - 2*g)*(-4 + 1 + 4).
36*g - 2
Expand (9 - 34 - 29)*(2*v**2 - v + v)*(2 - 2 + 2) + (v - v - 2*v)*(-2*v - 3*v + 4*v).
-214*v**2
Expand -11*i**5 + 3*i + 0*i + 0*i + (-4*i**2 + 3 - 3)*(i**3 + i - i) + 2*i**4 + i**5 - 2*i**4.
-14*i**5 + 3*i
Expand 3*z**3 - 5*z**3 + z**3 + (-3*z**2 + 0*z**2 + z**2)*(z - 3*z + 0*z) - z + 5 - 6 - 2*z**3 + 0 + 3*z**2.
z**3 + 3*z**2 - z - 1
Expand (3*q**3 - q**3 - 3*q**3)*(1 + 5 - 1)*(-11*q + q + 4*q).
30*q**4
Expand 3*l**2 - 3*l**2 + 7*l**3 - 2*l + 2*l + l**3 + (l + 2*l**3 - l)*(0 - 1 + 3) + 6*l**3 + 6*l**2 - 6*l**2.
18*l**3
Expand 75*x**5 - 48*x**5 + 53*x**5 + (-3*x**3 - 2*x**3 + 3*x**3)*(-2*x + x**2 + 2*x) - 8*x + 5*x**5 + 8*x.
83*x**5
Expand (-2 + 3*c**2 + 2)*(7*c - 15*c - c**2 - 2*c**2).
-9*c**4 - 24*c**3
Expand 8*t - t + t + (t + 3*t + t)*(3 - 1 + 3).
33*t
Expand (0*y**2 + y**2 + 0*y**2)*(-4*y - y + 2*y) + 7*y - 7*y + 6*y**3.
3*y**3
Expand (-y**2 - 2*y**2 + 4*y**2)*(-3*y + 3*y - y) + 0*y**3 + 3*y**3 - y**3 - 35*y**3 + 5*y**3 - 31*y**3.
-60*y**3
Expand (3 - 3 - f)*(-2*f**3 - 211*f**2 + 367*f**2 - 184*f**2).
2*f**4 + 28*f**3
Expand 22*y**5 - 27*y**5 - 5*y**4 - 6*y**4 + (4 - 1 - 1)*(3*y**5 - y**5 + 0*y**5) + 0*y**5 + y**5 - 2*y**5.
-2*y**5 - 11*y**4
Expand (-215*g**2 + 820*g**2 + 81*g**2)*(0 - 4 + 5).
686*g**2
Expand (-4*b - 507 + 498 + b)*(-4*b**3 + b**3 - 5*b**3).
24*b**4 + 72*b**3
Expand (-5*t**2 + 3*t**2 + 0*t**2)*((0 + 2 - 1)*(2 + 0 - 1) + 112 - 363 + 60).
380*t**2
Expand -2*h - 52 - 70 + 1 + 3*h + h - 3*h + (-2 + 3 - 3)*(-3*h + h + 4*h) - 2 - h + 2 - 2*h - 1 + 1 + 4*h + 0*h - 5*h.
-9*h - 121
Expand ((-2*n**2 - n**2 + 2*n**2)*(n - 5 + 5) - 3*n**3 + 4*n**3 + 4*n**3)*((4 + 0 - 3)*(-2*n - 3 + 3) - 4*n + 4*n - 3*n).
-20*n**4
Expand 16*v**3 - 39*v + 39*v + 2*v**3 + 3*v**3 - 4*v**3 + (2*v + v**2 - 2*v)*(-1 + 1 + v).
18*v**3
Expand (-2*h**5 + 3*h**5 + h**5)*(14 - 43 - 81).
-220*h**5
Expand (-4 - 3 + 6 + (-1 - 3 + 2)*(-2 - 2 + 3))*(-22*r + 0*r - 18*r).
-40*r
Expand 2*q - q - 2*q + (-5 + 3 + 0)*(q + q - q) + 5*q + q - 4*q + (-6*q + 2*q + 2*q)*(1 - 4 + 2) + 26 - 31*q - 26.
-30*q
Expand ((-4*j - 2*j + 2*j)*(-3 - 2 + 1) + 1 + 0 + 3*j - 2)*(5*j - 21 + j**2 + 21).
19*j**3 + 94*j**2 - 5*j
Expand (-t - 5*t + 4*t)*(-5*t + 3*t + 0*t) - t**2 - 2 + 2.
3*t**2
Expand (-2*s**2 - s + s)*((0 - s + 0)*(-7*s + 4*s + 5*s) + (7*s + 3*s - 3*s)*(0*s - 3*s + s)).
32*s**4
Expand 2*r**2 + 3 - 3 + (-2*r + 3*r + r)*(3*r - 2*r + r) + 9 - 2*r**2 - 9 + (r + r + 2*r)*(1 - 1 + r) + r**2 - 3 + 3.
9*r**2
Expand (-4*u + 2*u + 0*u)*(1792982 - 1578*u - 1792982).
3156*u**2
Expand (4*a**2 - 3*a**2 + a**2)*(-6 + 5*a + 6) + 4*a**3 + a**3 + a**3.
16*a**3
Expand (-30*h - 19*h + 19*h + (-h - 1 + 1)*(1 + 2 - 1))*(-2*h - 3*h + 6*h).
-32*h**2
Expand (-c + 13*c + 14*c)*(-2*c**4 - c**4 + c**4).
-52*c**5
Expand (42 + 40*z - 42 + (2*z + 2 - 2)*(0 + 0 - 2) - z + 2*z + z - 2*z - 1 + 1 + z - 3*z + 0*z + 0*z + 2*z - 4*z)*(1 - 1 - 4).
-128*z
Expand (15 - 15 + 3*s**2)*(0*s**2 + 0*s**2 + 2*s**3 + 0 + s**3 + 0 + (-2*s + 4*s - 4*s)*(-5*s**2 + s**2 + 3*s**2) + 2*s - 2*s - s**3 + s**2 + 4*s**3 - s**2).
24*s**5
Expand (8*w + 5*w - 6*w)*(0*w**4 + 2 - 3*w**2 + 2*w**4 + 0*w**4).
14*w**5 - 21*w**3 + 14*w
Expand -2*h + 1 - 1 + ((2*h + 3 - 3)*(2 + 1 - 1) - 4*h + h + 4*h - 4 - 4*h + 4)*(1 + 3 + 0).
2*h
Expand (-2*l - 2 + 2)*(4*l - 1 - 7*l - 7*l).
20*l**2 + 2*l
Expand (-52 - 9*l**2 - 4*l**2 - 27 + 14*l**2)*(-3*l**3 + 2*l**3 + 0*l**3).
-l**5 + 79*l**3
Expand (2*k - k + 2*k)*(13 + 11 - 8).
48*k
Expand (-10281*o**2 + 10281*o**2 - 243*o**3)*(2 - 1 + 1)*(-2 - 2 + 5).
-486*o**3
Expand (-4*q**3 + q**3 + 2*q**3)*(0 + 7 + 0)*(-5*q - 15*q + 3*q).
119*q**4
Expand (2 - 1 + 1)*(1295*r + 1341*r - 2486*r).
300*r
Expand 32*m + 41*m + 29*m + (1 + 2 - 4)*(12 - 6*m - 12).
108*m
Expand (-10*r + 3*r - 9*r)*((2 - 2 - 2*r)*(-2 - 3 + 2) - | {
"pile_set_name": "DM Mathematics"
} |
25*m - 23. Calculate x(-26).
3
Let c(m) = -2*m**2 + 41*m - 139. Calculate c(14).
43
Let o(v) = 89*v - 425. Calculate o(4).
-69
Let s(u) = -u**2 - 193*u + 1193. Determine s(6).
-1
Let l(o) = -3*o**3 - 247*o**2 - 329*o - 409. Determine l(-81).
-4
Let o(y) = -18*y + 130. Determine o(23).
-284
Let h(z) = -2*z**3 - 80*z**2 - 220*z + 74. Give h(-37).
0
Let j(x) = -x**3 + 29*x**2 + 80*x - 511. Give j(31).
47
Let u(m) = 27*m + 246. What is u(-9)?
3
Let p(y) = y**3 - 26*y**2 - 29*y + 65. Determine p(27).
11
Let p(u) = 2*u**3 + 25*u**2 + 12*u - 23. Calculate p(-12).
-23
Let v(j) = -6*j**3 - 13*j**2 + 33*j + 3. What is v(3)?
-177
Let y(w) = -4*w**2 - 60*w - 140. Calculate y(-12).
4
Let c(f) = 4*f**3 - 90*f**2 + 44*f + 9. Determine c(22).
9
Let v(u) = 7*u**3 + 270*u**2 - 116*u + 36. Give v(-39).
-3
Let u(n) = -4*n**2 - 89*n - 147. What is u(-22)?
-125
Let w(x) = x**2 - 169*x + 6116. Give w(55).
-154
Let n(f) = 3*f**3 + 58*f**2 + 156*f - 65. Calculate n(-16).
-1
Let s(i) = -4*i**2 + 154*i + 1060. Determine s(-6).
-8
Let j(c) = -61*c**2 - 255*c - 5. What is j(-4)?
39
Let a(o) = o**3 + 14*o**2 + 18*o - 170. Calculate a(-11).
-5
Let n(b) = -b**3 + 18*b**2 + 29*b - 183. Calculate n(19).
7
Let f(t) = 1033*t + 50610. Calculate f(-49).
-7
Let g(s) = -6*s**3 - 15*s**2 - 76*s + 231. Calculate g(2).
-29
Let r(k) = k**2 + 264*k + 17411. Calculate r(-137).
12
Let j(t) = 61*t + 2142. Give j(-35).
7
Let s(o) = 285*o**2 + 28*o + 29. Determine s(-1).
286
Let w(s) = 30*s**2 - 236*s + 2. What is w(8)?
34
Let n(w) = w**2 - 74*w - 6213. Determine n(-50).
-13
Let z(w) = -2*w**3 + 2*w**2 - 7*w + 24. Determine z(2).
2
Let i(n) = -24*n + 9. Give i(0).
9
Let m(i) = -i**3 + 7*i**2 - 25*i + 29. Determine m(4).
-23
Let s(y) = -19890*y + 99458. Calculate s(5).
8
Let z(m) = 10*m + 415. Calculate z(-42).
-5
Let w(s) = -2*s**3 + 43*s**2 - 28*s + 95. Give w(21).
-52
Let n(j) = j**2 + 26*j + 174. Give n(-12).
6
Let x(z) = 41*z - 1292. Determine x(31).
-21
Let w(t) = -48*t + 869. Calculate w(18).
5
Let n(d) = -13*d - 52. Give n(0).
-52
Let h(w) = -13*w**2 + 216*w - 895. Determine h(7).
-20
Let v(t) = t**3 - 19*t**2 + 39*t - 12. Give v(16).
-156
Let t(d) = -327*d + 4118. Determine t(13).
-133
Let x(p) = -p**3 - 2*p**2 + 49*p - 3. What is x(-8)?
-11
Let o(s) = -7*s**2 + 187*s + 1169. Give o(32).
-15
Let n(f) = -3*f + 51. Give n(29).
-36
Let s(t) = 20*t + 1829. Calculate s(-93).
-31
Let d(z) = 380*z + 339. Calculate d(-1).
-41
Let c(p) = -2*p**2 - 88*p - 192. What is c(-42)?
-24
Let i(b) = -7*b - 65. Determine i(-7).
-16
Let x(i) = i**2 + 810*i + 21156. What is x(-27)?
15
Let y(c) = c**3 - 9*c**2 - 2*c + 94. Determine y(8).
14
Let x(o) = 8*o**3 + 145*o**2 + 156*o + 51. What is x(-17)?
0
Let l(p) = -18*p + 196. Calculate l(10).
16
Let t(g) = -3*g**2 + 33*g - 56. Determine t(13).
-134
Let a(u) = 2*u**2 + 285*u - 1043. Calculate a(-146).
-21
Let i(s) = 2*s**3 - 20*s**2 - 7*s + 87. Determine i(10).
17
Let a(k) = -k**3 - 5*k**2 + 12*k + 54. Determine a(-4).
-10
Let w(n) = -2*n**2 - 91*n - 577. What is w(-38)?
-7
Let a(w) = 20*w + 339. What is a(-16)?
19
Let t(d) = -1113*d - 15578. Determine t(-14).
4
Let t(g) = 101*g - 592. Calculate t(6).
14
Let b(r) = -153*r + 1829. Determine b(12).
-7
Let n(c) = 28*c**2 + 49*c + 48. Calculate n(-1).
27
Let q(d) = 2*d**2 + 138*d - 5429. Give q(28).
3
Let l(k) = 4*k**2 - 20*k - 2. Determine l(-3).
94
Let c(o) = -366*o - 46477. Determine c(-127).
5
Let p(w) = -99*w - 1990. Calculate p(-20).
-10
Let r(m) = -4*m**2 - 25*m + 23. What is r(-7)?
2
Let y(u) = -u**2 - 3*u + 2. What is y(-3)?
2
Let g(c) = c**3 - 4*c**2 - 5*c - 11. Determine g(7).
101
Let c(r) = -147*r - 92. Give c(0).
-92
Let k(i) = -i**3 + 17*i**2 - 66*i - 14. Calculate k(14).
-350
Let a(m) = m**3 - 10*m**2 + 27*m - 44. What is a(6)?
-26
Let c(d) = d**2 - 18*d - 30. What is c(-7)?
145
Let g(k) = 23*k + 16. What is g(-5)?
-99
Let k(u) = 41*u - 77. Give k(5).
128
Let i(n) = 22*n**2 + 219*n + 38. Determine i(-10).
48
Let l(r) = -r**2 - 122*r - 2991. Determine l(-88).
1
Let i(d) = 4*d + 6. What is i(-12)?
-42
Let k(p) = 6*p**3 - 85*p**2 + 259*p - 29. What is k(10)?
61
Let x(u) = -u**3 + 27*u**2 - 180*u + 46. Give x(11).
2
Let c(q) = q**3 + 16*q**2 + 42*q + 58. What is c(-13)?
19
Let u(a) = -2*a**3 + 99*a - 37. Determine u(7).
-30
Let l(s) = s**3 - 13*s**2 - s - 6. Determine l(8).
-334
Let v(m) = m**3 + 8*m**2 + 17*m + 57. Give v(-5).
47
Let m(b) = -b**3 + 8*b**2 + 56*b - 444. What is m(9)?
-21
Let x(z) = -4*z**2 - 2*z + 7. What is x(-2)?
-5
Let x(l) = -l**3 - 6*l**2 - 24. What is x(-6)?
-24
Let u(n) = 271*n - 1635. Determine u(6).
-9
Let x(c) = -77*c + 1357. Determine x(17).
48
Let r(c) = 57*c - 182. Give r(3).
-11
Let p(m) = 91*m + 1791. Determine p(-22).
-211
Let j(m) = m**3 + 42*m**2 - 82*m + 150. Determine j(-44).
-114
Let d(o) = -42*o + 483. Calculate d(12).
-21
Let z(l) = -121*l - 1382. Give z(-11).
-51
Let d(l) = 6*l**2 + 23*l - 153. What is d(7)?
302
Let l(r) = -r**3 - 8*r**2 - 32*r - 87. Give l(-4).
-23
Let k(m) = -86*m + 181. Calculate k(-4).
525
Let x(b) = -10*b - 24. What is x(-10)?
76
Let z(r) = -12*r + 130. Determine z(18).
-86
Let k(l) = 1318*l + 594411. Determine k(-451).
-7
Let r(k) = -4545*k - 63629. What is r(-14)?
1
Let y(u) = -36*u**2 + 17*u + 52. Determine y(-2).
-126
Let k(f) = f**3 + 125*f**2 + 2014*f + 92. What is k(-106)?
92
Let r(b) = -2*b**2 - 12*b + 44. Give r(-8).
12
Let g(k) = 15*k**2 - 363*k + 9. Determine g(24).
-63
Let c(s) = s**3 - 33*s**2 + 33*s - 6. Calculate c(32).
26
Let j(c) = -c**2 + 276*c - 18638. Give j(118).
6
Let a(c) = c**3 + 2*c**2 - 295*c - 590. Calculate a(-2).
0
Let o(y) = -y**2 + 86*y - 909. What is o(69)?
264
Let g(z) = -10*z**2 - 92*z - 93. Give g(-9).
-75
Let j(l) = l**3 + 11*l**2 - 28*l - 188. Give j(-7).
204
Let m(s) = 1078*s - 13971. Give m(13).
43
Let b(w) = 4*w**3 - 7*w**2 + 7*w - 4. Give b(2).
14
Let z(p) = -4*p + 548. What is z(41)?
384
Let i(c) = -20*c + 158. Calculate i(9).
-22
Let k(d) = -d**3 + 15*d**2 - 110*d + 847. Calculate k(11).
121
Let i(b) = -b**3 - 8*b**2 - 2*b - 18. Give i(-6).
-78
Let t(c) = -2*c**2 - 13*c + 154. Determine t(-14).
-56
Let h(d) = -24*d - 157. Calculate h(-10).
83
Let q(w) = -w**2 - 23*w + 111. What is q(-13)?
241
Let t(o) = 191*o - 17749. What is t(93)?
14
Let n(w) = -3*w**3 - 34*w**2 + 34*w + 89. What is n(-12)?
-31
Let l(d) = -d**3 + 6*d**2 + 85*d - 29. Give l(-7).
13
Let k(s) = s**2 - 13*s - 128. Determine k(11).
-150
Let t(p) = -2625*p - 34112. What is t(-13)?
13
Let l(x) = -x**3 - 19*x**2 - 23*x - 77. Give l(-12).
-809
Let z(s) = -s**2 + 20*s - 60. Give z(15).
15
Let i(k) = k**2 + 309*k + 2408. What is i(-8)?
0
Let a(x) = x**3 + 2*x**2 - 54*x - 149. What is a(-3)?
4
Let o(k) = -98*k - 668. Calculate o(-8).
116
Let n(u) = -u**3 - 15*u**2 - 5*u + 153. Determine n(-4).
-3
Let y(n) = 51*n - 2634. What is y(52)?
18
Let q(j) = j**3 + 8*j**2 - 60*j - 419. What is q(-8)?
61
Let c(y) = 36*y + 163. Calculate c(-6).
-53
Let t(b) = -3*b**3 + 41*b**2 - 36*b + 11. Determine t(12).
299
Let z(f) = 6*f**2 + 6*f + 2. Calculate z(-1).
2
Let k(o) = o**2 + 49*o + 143. What is k(-3)?
5
Let f(r) = 388*r - 803. What is f(2)?
-27
Let h(j) = 6*j**2 + 54*j + 135. Calculate h(-4).
15
Let a(b) = 18*b**2 - 1684*b + 925. Give a(93).
-5
Let g(y) = 289*y + 9823. Determine g(-34).
-3
Let f(p) = p**2 - 32*p + 208. Determine f(9).
1
Let k(g) = -g**3 - 44*g**2 + 85*g + 3738. Calculate k(-44).
-2
Let o(l) = 4*l**3 + 29*l**2 + 11*l + 2. Determine o(-8).
-278
Let q(u) = 2906*u - 11617. Determine q(4).
7
Let p(g) = g**3 + 2*g**2 + 14*g - 15. Give p(1).
2
Let a(x) = -x**3 - 108*x**2 - 516*x - 116. Determine a(-103).
-13
Let k(l) = -53*l + 7728. Calculate k(146).
-10
Let y(g) = -18*g - 28. Calculate y(-2).
8
Let b(a) = -a**3 + a**2 + 8*a - 8. Determine b(4).
-24
Let p(n) = -16*n**2 - 202*n - 4. Determine p(-9).
518
Let q(p) = -p**2 - 33*p - 117. Determine q(-8).
83
Let f(s) = -s**3 + 14*s**2 + 35*s - 56. What is f(-3)?
-8
Let k(a) = a - 69. Calculate k(6).
-63
Let g(o) = -1450*o - 2957. What is g(-2)?
-57
Let m(d) = -702*d + 6134. Calculate m(8).
518
Let r(w) = 5*w + 8. What is r(7)?
43
Let m(k) = k**3 - 296*k**2 + 4474*k + 1684. Calculate m(280).
4
Let u(b) = b**3 + 43*b**2 + 447*b - 224. Give u(-24).
-8
Let k(c) = c**3 + 13*c**2 + 9*c + 270. Calcula | {
"pile_set_name": "DM Mathematics"
} |
*j(x).
81*x - 5
Let h(v) be the second derivative of -v**3 + 5273*v. Let r(w) = w. Let q = 3 - 2. Determine q*h(a) + r(a).
-5*a
Let s(l) = -l**2 - 104*l + l**3 + 1 + 49*l + 56*l. Let u(y) = -3*y**3 + 4*y**2 - 5*y - 4. What is -4*s(h) - u(h)?
-h**3 + h
Let y(z) = -4*z + 1. Let b(v) = -189*v + 3. Determine b(r) - 4*y(r).
-173*r - 1
Let t(o) = -3*o + 2. Let u(j) = 28*j + 32. Let b(w) = -16*w - 17. Let r(g) = -11*b(g) - 6*u(g). What is 4*r(y) + 11*t(y)?
-y + 2
Let r(d) = 68*d**2 - 7*d + 5. Let p(a) = 68*a**2 - 5*a + 4. What is 3*p(i) - 2*r(i)?
68*i**2 - i + 2
Let m(s) = s**2 + s. Let g(y) = y**3 + 42*y**2 + 39*y - 86. Let o be g(-41). Let c(b) = -b**3 + 9*b**2 + 9*b. Give o*c(f) + 36*m(f).
4*f**3
Let q(t) = -15*t**3 + 2 + 8*t + 3*t**2 - 16*t**2 + 5*t**2 + 0*t. Let f(w) = -5*w**3 - 3*w**2 + 3*w + 1. Calculate -8*f(s) + 3*q(s).
-5*s**3 - 2
Let g be (-2)/4*(-10 - (-6 - 6)). Let h(k) = k. Let p(b) = -2*b + 7. Give g*h(n) - p(n).
n - 7
Let n(u) = -7*u**3. Let y = 12 - 7. Let i(l) = -4*l + 12*l - 11*l**3 - 8*l. Let m(k) = -k**3 + 4*k**2 + 5*k - 8. Let a be m(5). What is a*n(z) + y*i(z)?
z**3
Let f(n) = -17*n - 4. Let d(g) = 129*g - 30. Let c(u) = -32*u + 9. Let o(j) = -11*c(j) - 3*d(j). Give -9*f(p) + 4*o(p).
13*p
Let m(r) = -r - 3. Let p(b) = 3. Let u(o) = 2*m(o) + 3*p(o). Let y(f) be the third derivative of -3*f**4/8 + 13*f**3/6 + 7*f**2. Determine -26*u(q) + 6*y(q).
-2*q
Let o(b) = -2*b**2 - b + 2. Let n(s) = s**3 + 2*s**2 + s - 3. Give -3*n(j) - 4*o(j).
-3*j**3 + 2*j**2 + j + 1
Let k(t) = t**2 + 2. Let l(y) = -8*y**2 + 5*y + 6. Give 3*k(o) - l(o).
11*o**2 - 5*o
Let q(l) = 19*l + 7. Let j(m) = 93*m + 36. Calculate -2*j(v) + 11*q(v).
23*v + 5
Let q(f) = 6*f**2 - 3*f + 1. Let n(l) = -l**3 - 5*l**2 + 3*l - 3. What is -3*n(w) - 2*q(w)?
3*w**3 + 3*w**2 - 3*w + 7
Let g(z) = 18395*z**2 - 585. Let y(x) = 63*x**2 - 2. Determine 4*g(t) - 1170*y(t).
-130*t**2
Let y(c) = c. Let u(m) = -93*m - 1. Give -u(q) - 6*y(q).
87*q + 1
Let j(s) = -2*s**2 - s - 12. Let c(a) be the second derivative of a**4/6 + a**3/3 + 13*a**2/2 + 510*a. Calculate 3*c(q) + 4*j(q).
-2*q**2 + 2*q - 9
Let m(j) = 4*j**3 + 5. Let h(a) = -17*a**3 + a - 22. Let k(c) = 4*h(c) + 18*m(c). Let r(o) = 2*o**3 + 2*o + 1. What is -3*k(q) + 5*r(q)?
-2*q**3 - 2*q - 1
Let n = -4 - -5. Let h(s) = 3*s**2 - s. Let b(w) = 2*w**3 + 10*w**2 - 5*w - 2. Let v(j) = -b(j) + 4*h(j). Let u(o) = -o**2 - 1. Give n*v(l) + 2*u(l).
-2*l**3 + l
Let v be 1 + -2 - (-6 + 0). Let m(g) = -g**3 - 5. Let u(f) = 20*f**3 - 21*f**3 + 0*f**2 - 6 + 0*f**2. Give v*m(a) - 4*u(a).
-a**3 - 1
Let v(f) = 221*f**2 - 119. Let l(d) be the second derivative of -11*d**4/12 + 3*d**2 - 54*d. Give 119*l(p) + 6*v(p).
17*p**2
Let o(h) = 2419*h**3 + 59*h**2 + 59. Let b(n) = 121*n**3 + 3*n**2 + 3. Give -59*b(t) + 3*o(t).
118*t**3
Let i(t) = 9*t**3 + 220*t. Let w(s) = -5*s**3 - 110*s. Give -6*i(p) - 11*w(p).
p**3 - 110*p
Let y(j) = 9*j**3 - 5*j**2. Let r = 147 - 150. Let z(g) = 3*g**3 - 2*g**2. Calculate r*y(l) + 8*z(l).
-3*l**3 - l**2
Let m(u) = -30*u - 40*u - 42*u - u**2 - 5 + 107*u. Let f(d) = -d**2 - 6*d - 6. Suppose -4*q - o - 17 = -0*q, -13 = 2*q - o. What is q*f(i) + 6*m(i)?
-i**2
Let j(z) = 21*z**2 + 643*z. Let h(f) = 13*f**2 + 429*f. What is 8*h(p) - 5*j(p)?
-p**2 + 217*p
Let f(t) = -5*t. Let p(v) = v. Let k be -2 - -4*2/2. Suppose -2*d + k = -3*j - 2*j, 0 = -3*j + d - 1. Suppose -2*x + 7 - 3 = j. Determine x*f(y) + 11*p(y).
y
Let f(i) = -4*i - 2. Let s(a) be the second derivative of a**3/6 + 147*a + 1. Suppose 0 = 2*g + 1 + 1. Determine g*f(t) - 2*s(t).
2*t + 2
Let a(j) = 1. Let q(d) = 188*d - 16. Determine 16*a(h) + q(h).
188*h
Let p(z) = -9*z**2 - 7*z + 13. Let u(v) = -8*v**2 - 6*v + 11. What is -6*p(q) + 7*u(q)?
-2*q**2 - 1
Let m(b) = 6*b**3 + 4*b**2 + 3. Let o be ((-12)/(-10))/(4/(-30)). Let p = 16 + o. Let h(x) = 13*x**3 + 9*x**2 + 7. Calculate p*m(g) - 3*h(g).
3*g**3 + g**2
Let m(l) = l + 55. Let s(y) = -y - 53. Determine 3*m(u) + 2*s(u).
u + 59
Let o(i) = i**3 - 14*i**2 + 2*i - 4. Let h(z) = 3*z**3 - 30*z**2 + 5*z - 9. Calculate 6*h(l) - 13*o(l).
5*l**3 + 2*l**2 + 4*l - 2
Suppose -5*c + c + 59 = -5*i, 5*i + 15 = 0. Suppose -6 + 24 = 3*r. Let d(q) = 6*q - c*q + r*q + 1. Let s(z) = -z - 2. What is -2*d(p) - s(p)?
-p
Let a(y) = y + 1. Let b(j) be the second derivative of -j**3/6 + 7*j**2/2 + 44*j. Let f be b(8). Let z(o) = -5*o - 6. What is f*z(l) - 6*a(l)?
-l
Let y(l) = 43*l**3 - l**2 - 4. Let c(a) = -43*a**3 + a**2 + 3. Determine 3*c(w) + 2*y(w).
-43*w**3 + w**2 + 1
Let r(k) = 3*k. Let v(h) = 4*h**3 + 13*h**2 + 12*h. Let t be v(-1). Let f(o) = -o**2 + 4*o. Calculate t*f(c) + 4*r(c).
3*c**2
Let x(p) = 3*p - 2. Let i(s) = -2*s + 2. Let j(v) = v**3 + 15*v**2 + 13*v + 15. Let z be j(-14). Let l = 34 - z. Calculate l*i(b) + 4*x(b).
2*b + 2
Suppose 5*i + y - 30 = 0, 2*y - 6 = -i + 3*y. Let c(w) = 10*w - 9. Let n(d) = -5*d + 4. Determine i*c(g) + 13*n(g).
-5*g - 2
Let p(w) = -6*w**2 - 3*w + 2. Suppose -34 - 62 = -24*a. Let x(g) = -7*g**2 - 4*g + 2. Calculate a*p(o) - 3*x(o).
-3*o**2 + 2
Suppose 18*z = 17*z + 5. Suppose -14 = -3*p - 23. Let y(j) = -7*j**2 + 5*j - 1. Let h(f) = -4*f**2 + 3*f - 1. Determine p*y(n) + z*h(n).
n**2 - 2
Let z(a) = 18*a**2 - 10*a + 16. Let h(j) = 37*j**2 - 19*j + 28. What is 4*h(v) - 7*z(v)?
22*v**2 - 6*v
Let c(t) = -t + 1. Suppose -8*o + 1096 = 1112. Let a(p) = -4*p - 6. Give o*a(d) - 12*c(d).
20*d
Let h(r) = -9*r**3 - 7*r**2 - 10. Let o(k) = 15*k**3 - 2*k**2 + 3*k - 2. Let q be o(1). Let s(w) = -3*w**3 - 2*w**2 - 3. What is q*s(b) - 4*h(b)?
-6*b**3 - 2
Let c(s) = 4*s**3 + 4*s**2 - 2*s. Let q(i) = 2*i**3 + 2*i**2 - i. Let r(j) = j**3 + j**2 + 5*j + 9. Let y be r(-2). Give y*q(z) + 3*c(z).
2*z**3 + 2*z**2 - z
Let p(f) = 3*f**2 - 5*f - 5. Suppose o = 5*o + 20. Suppose 11*j + 2*j - 78 = 0. Let w(b) = 4*b**2 - 6*b - 6. Give j*p(s) + o*w(s).
-2*s**2
Let b(v) = -3*v**2 - 5*v - 38. Let x(n) = n**2 + n - 1. Calculate -b(k) - 4*x(k).
-k**2 + k + 42
Let d(m) = 5*m**3 + m**2 - 11*m - 5. Let k(b) = 8*b**3 + b**2 - 12*b - 6. What is -6*d(c) + 5*k(c)?
10*c**3 - c**2 + 6*c
Let x(s) = 287*s**2 - 9. Let d(m) = -143*m**2 + 4. Give -9*d(j) - 4*x(j).
139*j**2
Let p(t) = 1 + 10*t - 11*t - 5*t**2 + 6*t**2. Let z(o) = -7*o**2 + 6*o - 6. Let g be (-532)/36 - 2/9. Let y be (g/(-4))/(-5)*8. Calculate y*p(k) - z(k).
k**2
Let a = 233 - 227. Let f(z) = -19*z - 7. Let t(q) = -5*q - 2. What is a*f(w) - 22*t(w)?
-4*w + 2
Let c(p) = -166*p**3 + 3*p**2 - 3*p - 6. Let f(w) = -1162*w**3 + 22*w**2 - 22*w - 44. Calculate -44*c(r) + 6*f(r).
332*r**3
Let k(o) be the first derivative of -o**2/2 - 154. Let d(q) be the first derivative of q**2 - 7. Calculate -5*d(u) - 15*k(u).
5*u
Let l(p) = -11*p + 17. Let t(h) be the second derivative of 2*h**3/3 - 3*h**2 + 180*h - 1. Determine -3*l(j) - 8*t(j).
j - 3
Let x(f) be the third derivative of f**5/12 + f**4/3 - f**3/3 + 392*f**2. Let a(y) = -5*y**2 - 7*y + 2. Determine -7*a(z) - 6*x(z).
5*z**2 + z - 2
Let s(g) = -g. Let h(l) be the second derivative of l**2 + 29*l. Let k(c) = -c + 2. Let o(d) = 5*h(d) - 6*k(d). Determine o(r) + 5*s(r).
r - 2
Let m(j) = -8*j - 40. Let r(u) = 3. What is m(p) - 2*r(p)?
-8*p - 46
Let o(w) = w**3 - 9*w**2 - 9*w + 83. Let y be o(9). Let u(r) = 9*r - 4 - 3*r**2 - 2*r**2 + 4*r**2. Let k(m) = 2*m - 1. What is y*u(d) - 9*k(d)?
-2*d**2 + 1
Suppose 3*j = -f + 14, 2*f + j - 18 = -10. Let o(n) = -3*n**3 - 6*n - 2. Let l(m) = 16*m**3 + 31*m + 11. Determine f*l(u) + 11*o(u).
-u**3 - 4*u
Let v(n) = -4. Let l be 58/10 + 12/(-15). Suppose 3*w - 9 = -5*q + 3*q, 3*w + l*q - 9 = 0. Let r(x) = -x**3 - 3. Determine w*v(g) - 4*r(g).
4*g**3
Suppose w - 16 = 4*t - 3*w, -4*t = -w + 4. Let n(v) = -v**3 + 0 - v + t + 1 - 3. Let f(d) = 1. Calculate 4*f(a) + n(a).
-a**3 - a + 2
Let u = 2 + -1. Let f(d) be the first derivative of d**2 + 2*d - 1314. Let b(n) = -1. Calculate u*f(z) + 6*b(z).
2*z - 4
Suppose -2*y + 2*k = 0, 2*y - k = 2*k + 1. Let r(s) = s - 1. Let l(d) = 4*d + 6. Determine y*l(m) + 3*r(m).
-m - 9
Let u(w) = 4 - 23*w**2 + 4*w**3 + 52*w**2 - 28*w**2. Let s(n) = -9*n**3 - 3*n**2 - 9. Determine -3*s(k) - 7*u(k).
-k**3 + 2*k**2 - 1
Let u(t) = 9*t**2 + t + 3. Let l(i) = 38*i**2 + 5*i + 12. Determine -2*l(g) + 9*u(g).
5*g**2 - g + 3
Let t(d) = -12*d**2 - d - 2. Let g(u) = -7*u**2 - u - 1. Calculate 5*g(n | {
"pile_set_name": "DM Mathematics"
} |
en 34799 is divided by 725.
724
Calculate the remainder when 16043 is divided by 730.
713
What is the remainder when 4331 is divided by 1393?
152
What is the remainder when 4974 is divided by 166?
160
Calculate the remainder when 162106 is divided by 290.
286
What is the remainder when 3185 is divided by 794?
9
Calculate the remainder when 2505 is divided by 105.
90
Calculate the remainder when 9717 is divided by 5.
2
Calculate the remainder when 9709 is divided by 423.
403
What is the remainder when 2501 is divided by 361?
335
What is the remainder when 7919 is divided by 3694?
531
What is the remainder when 8667 is divided by 35?
22
What is the remainder when 4860 is divided by 82?
22
Calculate the remainder when 30700 is divided by 458.
14
What is the remainder when 101090 is divided by 2021?
40
Calculate the remainder when 17008 is divided by 710.
678
Calculate the remainder when 3677822 is divided by 36.
26
Calculate the remainder when 4553 is divided by 2207.
139
Calculate the remainder when 68634 is divided by 3810.
54
What is the remainder when 1287 is divided by 97?
26
What is the remainder when 17454 is divided by 1586?
8
What is the remainder when 247025 is divided by 1544?
1529
Calculate the remainder when 5422 is divided by 492.
10
Calculate the remainder when 688715 is divided by 229569.
8
Calculate the remainder when 2003 is divided by 329.
29
Calculate the remainder when 12012 is divided by 27.
24
Calculate the remainder when 357985 is divided by 190.
25
Calculate the remainder when 7395543 is divided by 611.
610
What is the remainder when 2981877 is divided by 60?
57
What is the remainder when 6366 is divided by 63?
3
What is the remainder when 4040756 is divided by 93?
92
What is the remainder when 20020 is divided by 289?
79
Calculate the remainder when 42219 is divided by 5274.
27
What is the remainder when 70035 is divided by 176?
163
What is the remainder when 76887 is divided by 165?
162
What is the remainder when 2680 is divided by 86?
14
What is the remainder when 3253 is divided by 16?
5
What is the remainder when 699286 is divided by 488?
470
Calculate the remainder when 578511 is divided by 1384.
1383
Calculate the remainder when 66029 is divided by 9422.
75
Calculate the remainder when 8716 is divided by 396.
4
What is the remainder when 24733 is divided by 299?
215
Calculate the remainder when 1331354 is divided by 67.
64
What is the remainder when 31309 is divided by 6247?
74
What is the remainder when 5341 is divided by 167?
164
What is the remainder when 12341 is divided by 475?
466
What is the remainder when 273752 is divided by 165?
17
Calculate the remainder when 764841 is divided by 22.
11
Calculate the remainder when 8045 is divided by 803.
15
What is the remainder when 501674 is divided by 846?
842
What is the remainder when 465767 is divided by 116440?
7
What is the remainder when 27564 is divided by 29?
14
What is the remainder when 31661 is divided by 121?
80
Calculate the remainder when 25573 is divided by 16.
5
What is the remainder when 623219 is divided by 564?
563
Calculate the remainder when 3433 is divided by 1703.
27
Calculate the remainder when 6618 is divided by 414.
408
What is the remainder when 234654 is divided by 18050?
4
What is the remainder when 6691 is divided by 97?
95
What is the remainder when 4680 is divided by 29?
11
Calculate the remainder when 44352 is divided by 31.
22
What is the remainder when 592734 is divided by 1110?
1104
What is the remainder when 357 is divided by 24?
21
Calculate the remainder when 51134 is divided by 136.
134
Calculate the remainder when 70445 is divided by 5868.
29
Calculate the remainder when 377428 is divided by 2.
0
Calculate the remainder when 33370 is divided by 11.
7
Calculate the remainder when 158250 is divided by 665.
645
What is the remainder when 181713 is divided by 13?
12
Calculate the remainder when 288 is divided by 139.
10
What is the remainder when 31773 is divided by 51?
0
What is the remainder when 608670 is divided by 152166?
6
Calculate the remainder when 820819 is divided by 11.
10
Calculate the remainder when 12554 is divided by 728.
178
Calculate the remainder when 49893 is divided by 44.
41
What is the remainder when 265 is divided by 24?
1
Calculate the remainder when 1037 is divided by 998.
39
What is the remainder when 8747 is divided by 84?
11
Calculate the remainder when 14955 is divided by 277.
274
Calculate the remainder when 315012 is divided by 26251.
0
Calculate the remainder when 8283 is divided by 270.
183
Calculate the remainder when 38162 is divided by 1083.
257
What is the remainder when 196425 is divided by 7857?
0
What is the remainder when 80709 is divided by 521?
475
Calculate the remainder when 114070 is divided by 671.
0
What is the remainder when 2132 is divided by 66?
20
What is the remainder when 4001 is divided by 170?
91
What is the remainder when 3706 is divided by 1181?
163
What is the remainder when 111557 is divided by 40?
37
What is the remainder when 2009 is divided by 156?
137
Calculate the remainder when 31398 is divided by 1364.
26
Calculate the remainder when 850916 is divided by 337.
328
Calculate the remainder when 30413 is divided by 141.
98
What is the remainder when 1070 is divided by 718?
352
Calculate the remainder when 4512 is divided by 1018.
440
What is the remainder when 1033007 is divided by 110?
107
What is the remainder when 14140 is divided by 7050?
40
What is the remainder when 8762 is divided by 4377?
8
Calculate the remainder when 14605 is divided by 708.
445
What is the remainder when 3419 is divided by 161?
38
What is the remainder when 8989 is divided by 641?
15
What is the remainder when 187065 is divided by 21?
18
What is the remainder when 124326 is divided by 193?
34
What is the remainder when 30087 is divided by 149?
138
What is the remainder when 231408 is divided by 1394?
4
What is the remainder when 2783 is divided by 279?
272
Calculate the remainder when 665 is divided by 320.
25
Calculate the remainder when 12053 is divided by 1031.
712
What is the remainder when 1192 is divided by 588?
16
What is the remainder when 27600 is divided by 3?
0
What is the remainder when 964 is divided by 284?
112
What is the remainder when 20331 is divided by 91?
38
What is the remainder when 109717 is divided by 77?
69
Calculate the remainder when 328739 is divided by 36.
23
What is the remainder when 261 is divided by 153?
108
Calculate the remainder when 34405 is divided by 119.
14
Calculate the remainder when 6578 is divided by 216.
98
Calculate the remainder when 16955 is divided by 139.
136
What is the remainder when 4758 is divided by 4260?
498
Calculate the remainder when 81350 is divided by 40642.
66
Calculate the remainder when 773 is divided by 551.
222
Calculate the remainder when 753 is divided by 80.
33
What is the remainder when 4461 is divided by 309?
135
What is the remainder when 2881 is divided by 2738?
143
Calculate the remainder when 1840 is divided by 312.
280
What is the remainder when 856 is divided by 419?
18
What is the remainder when 353 is divided by 92?
77
What is the remainder when 29194 is divided by 114?
10
What is the remainder when 53444 is divided by 283?
240
What is the remainder when 2908 is divided by 589?
552
Calculate the remainder when 16609 is divided by 3321.
4
What is the remainder when 5965 is divided by 2864?
237
Calculate the remainder when 1050496 is divided by 193.
190
What is the remainder when 545 is divided by 63?
41
What is the remainder when 24388 is divided by 1219?
8
Calculate the remainder when 7584 is divided by 762.
726
What is the remainder when 951 is divided by 568?
383
What is the remainder when 141393 is divided by 92?
81
Calculate the remainder when 10887 is divided by 68.
7
What is the remainder when 5941 is divided by 1975?
16
Calculate the remainder when 2425 is divided by 346.
3
Calculate the remainder when 6265579 is divided by 829.
826
Calculate the remainder when 288804 is divided by 6563.
32
What is the remainder when 7299 is divided by 159?
144
Calculate the remainder when 68219 is divided by 11355.
89
What is the remainder when 145332 is divided by 13?
5
Calculate the remainder when 6415 is divided b | {
"pile_set_name": "DM Mathematics"
} |
/(-24) - 3/(-2). Suppose k + z*k = 9. Does 9 divide k?
True
Let m be 44/(-2)*(0 - -1). Let w = -2 - m. Is w a multiple of 10?
True
Let t = 6 + -1. Let f = t - 11. Does 20 divide (-9)/f*(-82)/(-3)?
False
Let a(l) = 5*l - 2. Let b(m) = m + 10. Let w be b(-7). Suppose 4*r = -w + 11. Is 8 a factor of a(r)?
True
Suppose -33 = -2*p + n, 2*p - n - 30 = n. Is 8 a factor of p/42 + 106/14?
True
Let c(d) = 2*d + 6. Let m be c(-4). Let k be (5/m)/(3/(-6)). Suppose t = u + k*t - 36, 2*u - 46 = 5*t. Is 14 a factor of u?
True
Let m(n) = n**3 - 8*n**2 + 2. Let c be m(8). Let v(t) = 5 - 5 + 5*t**c. Is 5 a factor of v(1)?
True
Let x = 9 - -13. Is 9 a factor of x?
False
Let s(a) = 2*a**2 + 3*a + 2. Does 11 divide s(-3)?
True
Let k(p) = -p**3 + 8*p**2 - p. Let f be ((-15)/(-9))/(2/6). Let r be k(f). Let l = -41 + r. Is 15 a factor of l?
False
Suppose 2*c + 2*x = 10, -c - 3*c = -5*x - 47. Let m = c + -8. Suppose -2*y - 16 = -4*b, -5*y = -m*y. Is 4 a factor of b?
True
Suppose 0 = -4*l - 18 - 114. Is l/55*-15*1 a multiple of 3?
True
Suppose -a + 0*a = -42. Let n = -24 + a. Does 8 divide n?
False
Let q = -5 + 1. Let t = -2 - q. Suppose -t*l + 21 = -19. Is 10 a factor of l?
True
Let t(p) = -5*p + 7. Is t(-11) a multiple of 10?
False
Let v(o) be the first derivative of 11*o**3/6 - 2*o**2 - o - 2. Let d(r) be the first derivative of v(r). Is 19 a factor of d(4)?
False
Suppose 2*o - 2*v = 2*v + 2, -2*o - 5*v = 25. Let l be (-2)/o - (-33)/5. Let x(b) = 6*b - 4. Is 19 a factor of x(l)?
True
Let s(h) = -7*h. Is 17 a factor of s(-4)?
False
Suppose -r = 0, 4*g - 84 = r + r. Does 12 divide g?
False
Let s = -68 + 96. Let m be 102/14 - 8/s. Suppose y + 0 - m = 0. Does 3 divide y?
False
Let o(x) = 4*x**3 + 2*x**2 - 2*x + 1. Let i be o(1). Let m(y) = y**3 - 4*y**2 - 3*y. Is m(i) a multiple of 5?
True
Suppose 3*h - 8 - 1 = 0. Suppose 8*o + 120 = h*o. Let k = o - -42. Is k a multiple of 9?
True
Let o = 6 - -6. Let y be 1/(o/(-15) - -1). Suppose -y*q = -3*m + 36, 5*m + 4*q - 7*q = 60. Is m a multiple of 6?
True
Suppose 0 = -2*d - 3*a - 21, 0 = -4*d - a - 33 + 6. Let b = 26 + d. Does 16 divide b?
False
Let t = 146 - 44. Is t a multiple of 34?
True
Let h(q) = -25*q + 23. Is h(-7) a multiple of 33?
True
Let x be (-2)/11 - 114/(-22). Suppose -c = 5*l - 13, -4*c = -x*c - 3*l + 21. Is c a multiple of 23?
False
Let o(g) = -g**2 + 12*g - 1. Is 2 a factor of o(8)?
False
Let j(g) = 2*g - 3 - g - 1. Let y be j(8). Suppose y = -s + 36. Is 16 a factor of s?
True
Let j(w) = w**3 - 5*w**2 - 5*w - 1. Let a be 14/49 - 80/(-14). Let v be j(a). Suppose 4*m - v*n - 41 = 2*m, 3*n - 3 = 0. Does 9 divide m?
False
Let a = 51 + -26. Does 25 divide a?
True
Suppose 0 = -9*g + 4*g + 135. Does 8 divide g?
False
Suppose -m - 950 = -5*p, -m + 190 = p + 4*m. Does 38 divide p?
True
Let m be 3/2*136/6. Let d = -5 + 27. Suppose -3*y + d = 4*s, -s - 2*s + m = 4*y. Does 4 divide y?
False
Suppose 5*r = 220 - 25. Let a = r + -6. Suppose -12 = -3*i + a. Is 6 a factor of i?
False
Suppose -x = -2*f, 0 = x + 3*f - 8*f. Is x + 21 - (-9)/9 a multiple of 19?
False
Let d(a) = a + 5. Let s be d(10). Is 17 a factor of ((-10)/s)/((-1)/51)?
True
Let c(j) = 3*j**3 + 2*j**2 + j. Let f be c(-1). Let l(w) be the third derivative of w**5/12 + w**4/12 - w**3/3 + 2*w**2. Is 6 a factor of l(f)?
False
Suppose 0 = 4*y - 0*y - 16. Suppose -18 = -y*m + 2*m. Does 4 divide m?
False
Let a(h) = 3*h - 8. Let o be 21/3*12/14. Let f be a(o). Is (114/(-15))/((-2)/f) a multiple of 14?
False
Let d(f) = 4*f. Suppose -1 = -l - 0. Let i be d(l). Suppose i*t - 10 = -a + 28, -5*t = a - 43. Is 10 a factor of a?
False
Does 2 divide 68/7 + (-10)/(-35)?
True
Let d(w) = 3 - 9*w**2 - w - 4*w - 10*w**3 + 0*w + 9*w**3. Suppose 0 = -0*f + 2*f + 18. Does 16 divide d(f)?
True
Let m(j) = -8*j - 1. Does 14 divide m(-4)?
False
Suppose -5*m - 74 + 5 = -4*j, 0 = -5*j - 4*m + 76. Is j a multiple of 8?
True
Let n = -52 + 36. Suppose 0 = 2*l - 4, -92 = -2*j - l + 4*l. Let d = n + j. Does 15 divide d?
False
Let k(u) be the third derivative of -1/60*u**5 + 0 + 2/3*u**3 + 2*u**2 + 0*u - 5/12*u**4. Is k(-9) a multiple of 8?
False
Let m(g) = -g**3 + 7*g**2 - 2*g - 5. Is 9 a factor of m(3)?
False
Let z = -65 - -115. Does 23 divide z?
False
Let t = -14 + 24. Is t a multiple of 2?
True
Is 17 a factor of (0 + -3)/(2/(-34))?
True
Let d(w) = -w - 12. Let n be d(-12). Suppose n = v - 3 - 5. Is 3 a factor of v?
False
Suppose 0 = -l - 3*l. Let n(a) = 5*a - 29 + 29 + l*a. Is n(1) a multiple of 4?
False
Let n(g) = 40*g**3 - g**2 + g - 1. Does 13 divide n(1)?
True
Suppose 0*f = 2*f + 5*l - 107, 80 = 2*f - 4*l. Let j = -33 + f. Is 13 a factor of j?
True
Let z = 27 + -13. Is 7 a factor of z?
True
Let g = 3 + 5. Suppose -5*m + m = -g. Suppose -4*u = 6*w - 2*w - 56, -m*w - 4*u + 26 = 0. Does 15 divide w?
True
Let t(i) = 2*i**3 - 7*i**2 - i - 4. Does 22 divide t(5)?
True
Suppose 4*i - 40 = 88. Does 8 divide i?
True
Suppose 5*y - 282 = -0*y - 2*j, -4*y - 3*j = -227. Let v = y + -32. Is v a multiple of 8?
True
Suppose t + 52 = 5*k, -233 = 5*t + 3*k - k. Let h = t + 71. Is h a multiple of 5?
False
Let v(g) = g + 212. Does 28 divide v(0)?
False
Let o = 16 - 21. Is 17 a factor of (-4)/(-10) + (-83)/o?
True
Let l(u) = u**3 + 23*u**2 + u + 47. Is l(-23) a multiple of 24?
True
Let z = 3 + -1. Suppose -z*v - 5*o + 28 = -o, -3*v + 39 = 5*o. Does 4 divide v?
True
Suppose -3*o - 3*n + 101 - 530 = 0, o + 153 = n. Let a = -92 - o. Is a a multiple of 14?
True
Let f(s) = -2*s - 4. Let u be f(-3). Suppose -8 - u = -5*n. Suppose -22 = -p + n. Is p a multiple of 11?
False
Let r = 29 - -59. Is r a multiple of 11?
True
Let z be (0 - 2) + 3 + 1. Let l be (z - 1) + 1 - 3. Let n = 12 - l. Is 9 a factor of n?
False
Let l(o) = -o**3 - 10*o**2 + 3*o - 16. Does 18 divide l(-11)?
True
Let c be 0 - 2 - (1 + -7). Let m(a) = -3*a - c - a - a. Is m(-6) a multiple of 16?
False
Let a(x) = -x**3 - 2*x**2 + 7*x + 7. Let f(q) = q**3 + q**2 - 3*q + 4. Let l be f(-3). Is 20 a factor of a(l)?
False
Let x(p) = p - 11. Let u be x(7). Is -5*(1 + 3)/u a multiple of 2?
False
Let s = 63 + -33. Let w = -14 - -16. Suppose k + w = s. Is k a multiple of 15?
False
Let o(f) = 2*f - 7 + 2*f + 6*f - 5*f. Is 4 a factor of o(3)?
True
Let m(z) = -z**3 - 7*z**2 + 9*z + 9. Let s be m(-8). Let d = s - -3. Does 4 divide d?
True
Let z(h) be the third derivative of h**5/60 - h**4/4 + 5*h**3/3 + 4*h**2. Is z(7) a multiple of 16?
False
Is 5 a factor of (-183)/(-12) - (-3)/(-12)?
True
Suppose q + 0*s = -4*s - 1, -q = 2*s - 1. Suppose -q - 5 = -2*d. Suppose -d*v - 13 = -5*v. Is 8 a factor of v?
False
Let z(l) = -2*l - 7. Let f be z(-5). Suppose -16 = -f*q - m, -20 = -4*q - 2*m - 0*m. Is q a multiple of 6?
True
Let x(j) be the second derivative of -j**5/20 + 2*j**4/3 + 11*j**3/6 + 6*j**2 + 3*j. Is 9 a factor of x(9)?
False
Let o(l) = l**2 + 9*l + 17. Does 6 divide o(-13)?
False
Suppose 0 = -4*j + 12. Suppose -4*x - 20 = -b, -b - j*x - 2 = -1. Is b a multiple of 8?
True
Let s be (-2 + (-3 - -4))*0. Suppose c - 2*c + 40 = s. Is c a multiple of 8?
True
Suppose -j = 2*h + 10, 3*h + j = -j - 15. Let i(y) be the first derivative of -7*y**2/2 - 7*y + 3. Does 14 divide i(h)?
True
Let y be (-17)/(-2) - (-27)/18. Suppose -3*p + p + y = 0. Is p a multiple of 5?
True
Let t be ((-6)/(-4))/(3/6). Suppose -5*s = 2*d, 4*s = t*s - 5*d. Suppose 5*a + 5*k - 130 = -s*a, a - 38 = -5*k. Does 13 divide a?
False
Is ((4/3)/2)/(2/936) a multiple of 13?
True
Let i = -6 - -4. Let m = 4 + i. Suppose -4*f + 127 = -m*t - 7, -t = -5*f + 172. Does 11 divide f?
False
Let q = 6 - 12. Let r = 30 + q. Is r a multiple of 12?
True
Suppose -g + 10 = 4*k, 3*k - 12 = 3*g + k. Let b = 3 - g. Let d(j) = 3*j - 6. Does 6 divide d(b)?
False
Let i = -6 + 2. Let p(c) = -c**2 - 5*c - 1. Let a be p(i). Suppose 33 - 3 = a*v. Is v a multiple of 4?
False
Suppose 2*z - 5*x = 3*z - 14, 5*z - 175 = -4*x. Is 13 a factor of z?
True
Let m(s) = -40*s**3 - 3*s**2 + 2*s - 3. Let r(g) = g**3 + g**2 - g + 1. Let x(a) = -m(a) - 4*r(a). Is 12 a factor of x(1)?
True
Let h = 1 + 15. Does 8 divide h?
True
Let k(d) be the second derivative of 23/12*d**4 + 0 + 1/3*d**3 - 1/2*d**2 - 2*d. Does 12 divide k(1)?
True
Let b(l) = l**2 - 8*l + 31. Is b(16) a multiple of 11?
False
Suppose 5*f + 4*r = 51, 0 = 2*f - 0*f + 4*r - 30. Let p(d) = - | {
"pile_set_name": "DM Mathematics"
} |
3 + 24 - 115 - 64 + 31*h - 85 to the form m*h + g and give m.
31
Rearrange (4 + 2 - 4)*(0*d**2 - 3*d**2 + 2*d**2)*(3 + 0 + 0)*(2067 + 3166 - 272)*(d + 1 - 1) to h*d**2 + y*d**3 + v*d + x and give v.
0
Rearrange (86 - 7 - 149)*(-1 + 6 - 1)*(13*m - 13*m + 12*m**2) to l + u*m + i*m**2 and give i.
-3360
Express 2948*z**2 - 11124*z**2 + 4359*z**2 + (0*z + 2*z - 3*z)*(z - z + z) - 2*z**2 + 2*z**2 - z**2 as o*z + s + u*z**2 and give u.
-3819
Rearrange 27 + 42*k - 47 + 37 to the form h + x*k and give x.
42
Rearrange -s**4 - 3*s**4 - 101 - 36*s**3 + 220 - 117 to the form q*s + r*s**2 + w + m*s**3 + a*s**4 and give a.
-4
Rearrange (3 - 4 - 3)*(-133 + 551 - 132 - 1236*d - 143 - 139) to the form v + k*d and give k.
4944
Rearrange (1047 - 1047 + 2044*s)*(-2 + 3 + 0)*(2 - 2 + 7) to the form d*s + i and give d.
14308
Express 191*f**2 + f + 1660 - 373*f**2 - 6*f + 2*f + 181*f**2 as b*f + m*f**2 + j and give b.
-3
Rearrange -1496*b + 390498 + 2*b**3 - 390498 to g*b + s*b**2 + n*b**3 + d and give n.
2
Express (1 - 1 + p)*(68*p - 60 + 60)*(3 - 5 + 1)*(286*p - 6*p - 37*p) in the form x*p + o*p**2 + k + j*p**3 and give k.
0
Rearrange -183*r - 727*r - 2*r**2 - 4 + 1533*r + 4 to v + b*r**2 + h*r and give b.
-2
Rearrange 16 + 23*o - 250362*o**3 + o**2 + 250360*o**3 + o**2 to z*o**2 + l*o**3 + v + k*o and give k.
23
Express (-5 - 3 + 2)*(191*x - 274*x - 370*x) + 4*x - 7*x - x in the form o*x + i and give o.
2714
Express (1 + 0 + 0)*(-7833 - 2*m - 819 + 2498 - 6649) as l + t*m and give t.
-2
Rearrange -105083*n - n**2 + 105083*n - 257 to the form d*n + x*n**2 + y and give x.
-1
Rearrange -7*x**3 - 3*x**2 - 10*x**3 - 1150639*x**4 - 4*x + 6 + 1150640*x**4 to the form g*x**3 + u*x**2 + o + d*x + m*x**4 and give g.
-17
Express 948*g + 3*g**3 - 957*g - g**4 - 2*g**2 + 747*g - 3*g**3 as x*g**3 + v*g**4 + m + p*g + b*g**2 and give b.
-2
Express (-264 + 50 - 163 + (3 - 2 - 2)*(-4 + 3 - 1))*(2*k**4 - 22*k**4 - 2*k**4) as t*k + c*k**3 + r*k**4 + w*k**2 + s and give r.
8250
Express 6046*j**4 - 9 - 10*j**3 + 11*j**3 - 6045*j**4 as s*j + w*j**2 + k + y*j**3 + q*j**4 and give k.
-9
Rearrange -1421 + 6296 + 27*a + 2983 - 25*a + 240 to d + q*a and give d.
8098
Express -13*r**4 - 3*r**4 + 22*r**4 - 5*r**4 + 13*r**2 - 15*r as a*r + s*r**3 + t + m*r**2 + c*r**4 and give a.
-15
Rearrange (14*b - 12*b + 1067*b**2 - 1280*b**2)*(-3 + 3 - 6)*(-b**2 + 4*b - 4*b) to g*b + l*b**2 + r*b**4 + c + w*b**3 and give w.
12
Rearrange -1 + 191*v**2 + 3*v - 2 - 20*v - 145*v**2 to i*v + y*v**2 + u and give i.
-17
Rearrange 18*t**2 - 26*t**2 + 2 - 22 + 12 + 10 + 330*t to g + q*t**2 + w*t and give q.
-8
Rearrange 877*x + 1199*x + 4230*x to p + q*x and give q.
6306
Rearrange -26*w**4 + 1 - 5*w + 17*w + w**2 + 111*w**4 - 2*w**3 - 11*w to the form p*w**2 + k*w**4 + v + m*w + j*w**3 and give j.
-2
Express -649*i + 6*i**4 + i**3 + 13 + 220*i**2 - 220*i**2 + 661*i in the form a + s*i**3 + x*i**2 + m*i + o*i**4 and give s.
1
Express (2*f + f - 2*f)*(144*f - 83*f + 55*f) + 3*f**2 - 4*f**2 - f**2 + 18*f - 35*f + 33*f**2 + 17*f as p*f + j + h*f**2 and give h.
147
Rearrange b + b**3 - b + (-b**2 + 8*b**2 - 3*b**2)*(153*b + 10*b - 43*b) to j*b + l + m*b**3 + f*b**2 and give m.
481
Express (3 - 3 - 2)*(-102 + 213 - 2810)*((-1 + 4 - 4)*(2*p - 4 + 4) + p - 11*p + 5*p + p + 0*p + p) in the form h + q*p and give q.
-26990
Rearrange 240*s + 217*s - 458*s - 1041*s**3 - 3 to j*s + c*s**2 + m*s**3 + w and give m.
-1041
Express -1093*d + 2563*d + 3938*d - 1657*d + 4696*d as k*d + h and give k.
8447
Rearrange (-n - 6 + 4 + 1)*(13249549*n - 13249549*n - 3012*n**2) to the form p + q*n + l*n**2 + u*n**3 and give l.
3012
Rearrange (-218*k + 41*k - 96*k - 34*k)*(-154*k + 182*k - 324*k) to d*k + i + h*k**2 and give d.
0
Rearrange g + 3*g**3 - 11079*g**2 - 23*g**3 + 11077*g**2 - 65*g**4 to the form n*g**4 + o + w*g**3 + q*g**2 + t*g and give n.
-65
Express (0*p + 0*p - 2*p)*(668 + 625 - 178) + (2 - 3 - 1)*(-p + 4 - 4) + 6*p - p - 4*p as s + x*p and give x.
-2227
Express 4*o**3 - 4*o**3 - 2*o**3 + (15106079 - 15106079 - 17374*o**2)*(1 + 3*o - 1) in the form h*o**2 + x*o + l*o**3 + y and give x.
0
Express -6*g - 3 - g**4 + g + 2*g**3 + 10*g**2 + 12*g**2 - 25*g**2 in the form s*g**4 + l*g**3 + d*g + a + c*g**2 and give c.
-3
Express -10033*x - 10*x**2 - 3 - 10019*x + 20017*x as c + p*x + n*x**2 and give c.
-3
Rearrange (-2 + 3 + 1)*(-q**2 + 0*q**2 - q**2) + (-4*q + q - q)*(-905*q - 1413*q + 1364*q) to the form t*q**2 + h + l*q and give t.
3812
Rearrange 3123*b**3 + 3805 - 3805 + (-2*b**2 - 2*b**3 + 2*b**2)*(-4 - 4 + 6) to m + w*b + y*b**2 + a*b**3 and give a.
3127
Rearrange -97361*i**3 + 192 - 3647 + 97363*i**3 to y*i**3 + k*i + f*i**2 + r and give r.
-3455
Rearrange (0 - 5 + 4)*(2107 + 5062 + 1641)*(0*b - 3*b + 4*b) to m*b + v and give m.
-8810
Express 8343*n**2 - 94 + 4*n - 16680*n**2 + 8335*n**2 as v*n**2 + b*n + c and give v.
-2
Rearrange (14998 + 7693 + 14150 - 4645 + (0 - 1 + 2)*(2 - 2 + 2))*(2*f**2 - 3*f**2 + 4*f**2) to m*f**2 + v + z*f and give m.
96594
Rearrange -1145*f + 1143*f + 199*f**2 + 1613*f**2 + 2352*f**2 to b*f**2 + s + y*f and give y.
-2
Express 6623*j + 906*j - 3251*j + 4819*j as q + u*j and give q.
0
Express -202 + 1014*w**2 + 1001*w**2 + 2*w - 2016*w**2 in the form h + p*w**2 + f*w and give f.
2
Express (-113*b**2 - 22*b**2 - 199*b**2)*(3*b + 2*b - 3*b) in the form m + l*b**2 + v*b + a*b**3 and give m.
0
Rearrange 10600*q + 1 - 10*q**2 - 10600*q + q**4 + 55*q**3 to c + w*q**2 + v*q + s*q**4 + n*q**3 and give n.
55
Express (4*g - 3*g - 2*g)*(66761*g - 5026*g**3 - 66761*g - 2202*g**3) - 3*g**4 + g**4 + g + g**4 as p*g + n*g**4 + s*g**3 + x*g**2 + o and give p.
1
Express -653*f - 365*f - 103*f + 36 + 91*f - 31 as d*f + n and give n.
5
Rearrange (0 + 0 + 3 + 0 + 0 + 3 - 3 + 5 - 3 + (2 + 2 - 2)*(-4 - 2 + 4))*(-1 + 1 + 2*z)*(18 - 23 - 9) - 12*z - 16*z + 18*z to a*z + j and give a.
-38
Express ((-43 + 4 - 26)*(1 + 1 - 3) + 3 + 0 + 2)*(4*k - 4*k - k - 2) as f*k + y and give f.
-70
Express -17037*y**2 - 10461*y**2 + 0 + 4 - 6 in the form l*y**2 + i + j*y and give l.
-27498
Rearrange 5*n**2 - 1158 + 10*n - 13*n**3 + 1159 + 7*n**3 to the form y + k*n + x*n**2 + r*n**3 and give x.
5
Rearrange 1328 + 28726*s - 7181*s - 7183*s - 7181*s - 7188*s to n + c*s and give c.
-7
Express -13716*q - 15585*q + 46501*q - 3 - 14798*q as i + f*q and give f.
2402
Rearrange (21 - 8 - 28)*(-2*t + t - t + (21 + 35 - 42)*(-4*t + t + t)) to b*t + s and give b.
450
Express (118 - 239 + 116 - 7*w)*(-6*w - 7*w - 4*w) as i + f*w**2 + a*w and give a.
85
Express 2*v**3 - 12*v**3 - v**3 + (0*v**2 + 2*v**2 + v**2)*(332*v - 100*v + 232*v) in the form j*v**3 + u*v + c + i*v**2 and give i.
0
Express (-o - o**2 + o)*(-1 + 2*o + 1 + (-11 + 24 + 13)*(6*o - 21*o - 12*o)) + (0*o**2 - o**2 + 2*o**2)*(-3 - o + 3) as w*o + m + j*o**3 + l*o**2 and give w.
0
Rearrange 6*a**3 + a**3 - 2 + 13*a**3 + 53*a - 13*a**3 - 6*a**3 + a**4 to y*a**3 + z + w*a**2 + b*a + n*a**4 and give z.
-2
Express 1751 + 7*h**3 + 28*h**4 + 3*h**3 - 18*h**4 - 1751 - 9*h in the form a*h**3 + d*h**4 + i + g*h + w*h**2 and give d.
10
Express 104*o**3 - 13*o - 570*o**3 - 22*o - 22*o + 60*o as p*o**2 + w*o**3 + r + s*o and give s.
3
Express (-1153*t + 38*t**3 + 1153*t)*(16*t - 3*t + 6*t) + (-5 - t**2 + 5)*(3*t**2 - 16 + 16) as g*t + f*t**4 + i + b*t**2 + u*t**3 and give f.
719
Express -168*z + 4 - 3*z**2 - 177*z + 346*z - 2*z**3 + 8 as i + x*z**3 + h*z**2 + p*z and give i.
12
Express -27*k + 764 - 770 + 2*k**2 + 111*k in the form o*k + w + n*k**2 and give n.
2
Rearrange 53 - 21 - 2*t**3 - 6 - 6*t**2 + 30 + 22 to the form v*t**3 + l + m*t + h*t**2 and give l.
78
Rearrange 58 - 154 + l + 90 + 3*l**3 - l**2 to the form b*l**2 + o*l**3 + q + s*l and give q.
-6
Rearrange 4*z**4 + 115382*z - 6 + z**3 - 3*z**4 - 115384*z + 68*z**2 to j*z**2 + m + w*z**4 + l*z + k*z**3 and give l.
-2
Rearrange -15*s + 60*s**2 + 0*s - 4*s + 41*s**2 + 15*s to a + z*s + f*s**2 and give f.
101
Rearrange 0*x - 5*x + x + 5 - 5 - 5*x + (-34 + 34 + 8*x)*(3 - 5 + 1) - 8 - 7*x + 8 to b*x + s and give b.
-24
Express -14328*y**3 + 20 - 23 - y + 14322*y**3 in the form h*y**2 + k*y**3 + t*y + l and give k.
-6
Rearrange (5 + 1 - 3)*(-2*k**3 + k**3 - k**3)*(-k + 0 - 1 + 5*k) to the form y*k**3 + q*k**4 + j*k + w*k**2 + x and give y.
6
Rearra | {
"pile_set_name": "DM Mathematics"
} |
/969
Calculate prob of sequence pz when two letters picked without replacement from {i: 2, p: 2, x: 3, g: 4, n: 2, z: 3}.
1/40
Two letters picked without replacement from {g: 2, j: 2, i: 1, v: 2, q: 4, l: 1}. Give prob of sequence gi.
1/66
What is prob of sequence zeeg when four letters picked without replacement from gzzeeeegzegzgeezegzz?
49/2907
Four letters picked without replacement from {a: 2, z: 3, l: 2, s: 1, k: 3, f: 3}. Give prob of sequence klza.
3/2002
Three letters picked without replacement from {n: 2, y: 1, r: 1, m: 3, j: 3, a: 2}. What is prob of sequence amy?
1/220
Three letters picked without replacement from nannnnatawttan. Give prob of sequence anw.
1/91
Two letters picked without replacement from upuuppppuppupuup. What is prob of sequence uu?
7/40
Two letters picked without replacement from {z: 5, n: 8, m: 2, w: 3, x: 1, c: 1}. Give prob of sequence mw.
3/190
Two letters picked without replacement from rixrhexrhxerrr. Give prob of sequence ie.
1/91
What is prob of sequence uu when two letters picked without replacement from {s: 3, u: 5}?
5/14
What is prob of sequence sq when two letters picked without replacement from {c: 7, b: 6, q: 4, t: 1, s: 2}?
2/95
Two letters picked without replacement from {l: 1, h: 8, r: 2, w: 9}. Give prob of sequence wl.
9/380
Calculate prob of sequence ewww when four letters picked without replacement from {w: 7, e: 3}.
1/8
Two letters picked without replacement from {v: 11, e: 2}. Give prob of sequence ve.
11/78
Calculate prob of sequence rtrx when four letters picked without replacement from {t: 1, m: 1, r: 2, x: 2}.
1/90
What is prob of sequence mm when two letters picked without replacement from {u: 7, m: 2, a: 5}?
1/91
Four letters picked without replacement from {l: 15, w: 3}. Give prob of sequence lwll.
91/816
What is prob of sequence okyi when four letters picked without replacement from oikiyaiyroy?
1/440
What is prob of sequence aapp when four letters picked without replacement from {p: 5, a: 2}?
1/21
Calculate prob of sequence yyj when three letters picked without replacement from jjjyjjjyjjyyyjjj.
11/168
Calculate prob of sequence hbzr when four letters picked without replacement from nnhnhzznbnznr.
1/2860
What is prob of sequence uo when two letters picked without replacement from ouj?
1/6
Two letters picked without replacement from {y: 2, g: 4, i: 4}. What is prob of sequence gy?
4/45
Calculate prob of sequence mt when two letters picked without replacement from {e: 1, m: 1, t: 2}.
1/6
Two letters picked without replacement from {e: 1, c: 2, f: 2, a: 2, k: 3, v: 2}. What is prob of sequence fa?
1/33
What is prob of sequence cqpq when four letters picked without replacement from {l: 7, p: 1, v: 3, q: 4, c: 2}?
1/2380
Three letters picked without replacement from {q: 6}. Give prob of sequence qqq.
1
What is prob of sequence jdjt when four letters picked without replacement from jyedttjfjtf?
1/440
Calculate prob of sequence sjoc when four letters picked without replacement from {h: 2, j: 2, o: 1, c: 1, a: 1, s: 1}.
1/840
Four letters picked without replacement from wgagvwkagggw. Give prob of sequence agkv.
1/1188
What is prob of sequence pxoj when four letters picked without replacement from oxppxoxxpxpxojxopo?
35/14688
Three letters picked without replacement from {g: 1, a: 1, u: 1, c: 2}. What is prob of sequence aug?
1/60
Two letters picked without replacement from {g: 1, s: 2, t: 1, k: 2}. Give prob of sequence kk.
1/15
Four letters picked without replacement from shjsjjjjssw. What is prob of sequence swjs?
1/132
Three letters picked without replacement from vwzwvffzwzwvzvfz. What is prob of sequence fvf?
1/140
What is prob of sequence iiy when three letters picked without replacement from yoiyiyoo?
1/56
Calculate prob of sequence aga when three letters picked without replacement from aaoaagaaaoaaaa.
55/1092
What is prob of sequence mbm when three letters picked without replacement from {h: 1, b: 5, m: 4}?
1/12
What is prob of sequence bq when two letters picked without replacement from xlllxxxxxnlxxnnxxqlb?
1/380
Calculate prob of sequence yryc when four letters picked without replacement from crcycyy.
3/140
Two letters picked without replacement from ulululuuusuul. Give prob of sequence uu.
14/39
What is prob of sequence pp when two letters picked without replacement from ppppmdmmp?
5/18
What is prob of sequence esk when three letters picked without replacement from {k: 12, e: 2, s: 5}?
20/969
Calculate prob of sequence nhdn when four letters picked without replacement from {n: 10, h: 1, w: 1, d: 7}.
35/5168
Calculate prob of sequence bab when three letters picked without replacement from abbaaaa.
1/21
Calculate prob of sequence ou when two letters picked without replacement from {u: 2, o: 4, x: 2}.
1/7
Two letters picked without replacement from {e: 2, j: 2, t: 1, f: 1, z: 2, x: 1}. Give prob of sequence zx.
1/36
What is prob of sequence xjvv when four letters picked without replacement from xdddvvjdadxdvjj?
1/910
Four letters picked without replacement from {p: 1, m: 3}. Give prob of sequence pmmm.
1/4
Two letters picked without replacement from {y: 3, c: 2, u: 4, q: 2}. What is prob of sequence uy?
6/55
Three letters picked without replacement from {i: 5, b: 4, m: 2, g: 2, u: 4}. Give prob of sequence gmb.
1/255
Four letters picked without replacement from qqqqqqxqqqxqqqqqqq. Give prob of sequence qqxx.
1/153
Four letters picked without replacement from oyuoyyihyyyyhhyho. Give prob of sequence iyoh.
1/595
Four letters picked without replacement from {i: 7, p: 12}. Give prob of sequence piip.
77/1292
Calculate prob of sequence xxbx when four letters picked without replacement from xbxbbbbbbxbxbb.
10/1001
Two letters picked without replacement from {r: 1, e: 3, w: 3}. What is prob of sequence wr?
1/14
Calculate prob of sequence pkep when four letters picked without replacement from pkdbpedpebkpkpd.
1/273
Three letters picked without replacement from {v: 1, i: 1, c: 1, w: 1, x: 1}. Give prob of sequence cvx.
1/60
Calculate prob of sequence kr when two letters picked without replacement from {i: 1, d: 1, k: 1, c: 3, r: 4, f: 6}.
1/60
Two letters picked without replacement from nwvam. Give prob of sequence va.
1/20
Three letters picked without replacement from {k: 11, e: 1, z: 3}. What is prob of sequence ezz?
1/455
Calculate prob of sequence lq when two letters picked without replacement from {g: 2, q: 2, x: 2, l: 1, u: 1}.
1/28
Two letters picked without replacement from xgxuxtxttuttmmmgjmtt. What is prob of sequence tj?
7/380
Four letters picked without replacement from {r: 1, f: 2, m: 2, y: 1}. Give prob of sequence mmfr.
1/90
Calculate prob of sequence byyx when four letters picked without replacement from qbeyxqqqeybeqbeb.
1/5460
Two letters picked without replacement from hututxk. What is prob of sequence ku?
1/21
What is prob of sequence occ when three letters picked without replacement from {c: 2, o: 4}?
1/15
Calculate prob of sequence zyy when three letters picked without replacement from hyyekyzhhykhyyu.
1/91
Three letters picked without replacement from oouuooouooouuo. Give prob of sequence ooo.
3/13
Four letters picked without replacement from hhshcshuhhcf. What is prob of sequence cuhh?
1/198
Calculate prob of sequence oe when two letters picked without replacement from oooieociocioyo.
1/26
Four letters picked without replacement from wlwlwwwllwwll. What is prob of sequence llll?
3/143
Calculate prob of sequence qv when two letters picked without replacement from gvgqgggvvgggggggvvgg.
1/76
Four letters picked without replacement from {c: 4, b: 1, k: 1, l: 2, g: 7, p: 3}. What is prob of sequence lkbg?
7/36720
Two letters picked without replacement from fci. What is prob of sequence ci?
1/6
Two letters picked without replacement from {i: 9, o: 7}. What is prob of sequence oo?
7/40
What is prob of sequence zppz when four letters picked without replacement from zsssfspppfppspfpspz?
7/5814
Four letters picked without replacement from sddssd. Give prob of sequence ssdd.
1/10
What is prob of sequence qe when two letters picked without replacement from {e: 3, q: 1, o: 3}?
1/14
Calculate prob of sequence cr when two letters picked without replacement from aabbuqqacraca. | {
"pile_set_name": "DM Mathematics"
} |
- 275*sqrt(2)
Simplify (-4 + 2 + sqrt(832) - -4*(sqrt(832) - (sqrt(832) - -2*sqrt(832))))**2 + 2.
224*sqrt(13) + 40774
Simplify ((-1*(sqrt(78)*-3 + sqrt(78))*4)/((sqrt(66) + (-3*sqrt(66) + sqrt(66))*-2)/sqrt(11)))**2.
832/25
Simplify ((sqrt(54)/sqrt(3) - sqrt(2)) + (0 + sqrt(242))**2 - ((sqrt(1600) + 2*sqrt(1600))/sqrt(8))**2)*-3.
-6*sqrt(2) + 4674
Simplify (sqrt(648)*1 - sqrt(648) - ((sqrt(18) - (sqrt(18) - -1*(2*sqrt(18) + sqrt(18)))) + sqrt(18)))/(-6*(sqrt(81) - sqrt(81)*2)).
sqrt(2)/9
Simplify ((2*sqrt(112))/sqrt(8))/((sqrt(2) + sqrt(2) + sqrt(2)*-1)*2) + (-3 + sqrt(7) + -2 - (-3*sqrt(1008) - sqrt(1008))).
-5 + 50*sqrt(7)
Simplify -1*-1*sqrt(320)*3 - ((sqrt(3200)*1 + sqrt(3200))/(1*sqrt(250)))**2.
-256/5 + 24*sqrt(5)
Simplify (1*5*(sqrt(209) + sqrt(209)*1))/((sqrt(1100) - (sqrt(1100) - sqrt(1100)*1)*-6) + sqrt(1100)).
sqrt(19)/2
Simplify (6*(2*sqrt(88) - sqrt(88)))/(sqrt(128) - (sqrt(128) + -4*sqrt(128) - sqrt(128))).
3*sqrt(11)/10
Simplify 6*(((sqrt(200) - (5 + (-1 + sqrt(200) - sqrt(200) - sqrt(200) - sqrt(200)))) + (sqrt(200) - (sqrt(200) + -2*sqrt(200))*-3))*-3 + -4)**2.
-2880*sqrt(2) + 11184
Simplify (sqrt(34)/sqrt(2) + 4)*-5 + 5 + -5 + sqrt(272)*1 + -3.
-23 - sqrt(17)
Simplify (sqrt(6)/(sqrt(2) + sqrt(24)/(1*sqrt(12))) + ((sqrt(3) - sqrt(9)/sqrt(3))*5)**2*1)*4.
2*sqrt(3)
Simplify ((((sqrt(78) - 1*sqrt(78)*-1) + sqrt(78))/sqrt(6))**2 - ((sqrt(13)*1 + 1 + sqrt(13) - sqrt(13))**2 + 4)) + -2.
-2*sqrt(13) + 97
Simplify (((2 + sqrt(272))*-3 + 4)*3)**2*-1.
-22068 - 432*sqrt(17)
Simplify (-1 + sqrt(108)*2 + sqrt(108) + 4)**2.
108*sqrt(3) + 981
Simplify (-2*sqrt(4032))/((sqrt(4) + sqrt(16) + sqrt(4))*5)*6*5.
-36*sqrt(7)
Simplify ((-6*1*sqrt(833)*-6)**2 - (-3*(5 + sqrt(833) + -1 + sqrt(833)))**2) + -1.
-1008*sqrt(17) + 1049435
Simplify (-1 + -2*sqrt(475) + 3*(0 + sqrt(475) + sqrt(475)) - (-3*sqrt(475) + 2 + 2))**2.
-350*sqrt(19) + 23300
Simplify (-1 + 2*(1 + sqrt(300)))**2 - (-6*((0 + sqrt(300) - sqrt(300)) + -1))**2.
40*sqrt(3) + 1165
Simplify (1 + -2*sqrt(288))**2 + -3 - (5 + sqrt(128) + (sqrt(128)*2)**2)*-4.
-16*sqrt(2) + 3218
Simplify ((1*sqrt(324) + sqrt(324))/sqrt(9))/(sqrt(18) - (5*sqrt(288) + sqrt(18))).
-sqrt(2)/10
Simplify (sqrt(10)/(-2*sqrt(2)*3) + -1)*6.
-6 - sqrt(5)
Simplify -5 + 3*(5 + sqrt(20)/sqrt(4)*1).
3*sqrt(5) + 10
Simplify 2 + (0 + -4*((sqrt(1300) - (sqrt(1300) + -4)) + 0))**2.
258
Simplify (((sqrt(525) - -3*(sqrt(525) + -1*sqrt(525))) + sqrt(525))/(sqrt(21)/(sqrt(3) - sqrt(48)*-1)))**2.
7500
Simplify 2*((-4 + (sqrt(28) - (sqrt(84)/sqrt(3) - sqrt(28))) - sqrt(28) - 1*sqrt(252)) + -3).
-12*sqrt(7) - 14
Simplify (1 + sqrt(931))**2 - (-2*-2*sqrt(19))**2 - sqrt(133)/(-3*-2*sqrt(7)).
83*sqrt(19)/6 + 628
Simplify ((sqrt(60)/sqrt(3)*-5)/(sqrt(490)*-1) + -1)**2.
-10*sqrt(2)/7 + 99/49
Simplify ((1 + sqrt(11) + 1)*1 - (sqrt(22)/sqrt(2) + 0)*-1)**2.
8*sqrt(11) + 48
Simplify -3*((sqrt(99)/sqrt(225) - 2*sqrt(275))*-6)**2*-3.
8557164/25
Simplify (sqrt(204)/(sqrt(48)*6) - (0 + sqrt(833) + (sqrt(17) - (sqrt(68) + -2))))**2.
71*sqrt(17)/3 + 86273/144
Simplify (((sqrt(38)/sqrt(32))**2 - (sqrt(19)*1 + 1)) + 3)*4.
-4*sqrt(19) + 51/4
Simplify (sqrt(225) - (sqrt(225) + sqrt(225)*-4*1))/(sqrt(108) - (sqrt(108)*-4*-4 - sqrt(108))).
-5*sqrt(3)/21
Simplify ((sqrt(228) - sqrt(228)*-1*4) + 2*sqrt(228)*-3)/(sqrt(12) + (1*sqrt(768) + sqrt(768) - sqrt(768)) + sqrt(48)*4).
-sqrt(19)/17
Simplify (sqrt(50)*-4*-6)/(sqrt(640) + sqrt(40)).
12*sqrt(5)/5
Simplify ((sqrt(192) - 3*sqrt(192)*-2 - sqrt(192))/(sqrt(294) - (sqrt(294) + sqrt(294) + sqrt(294) + sqrt(294) + -2*sqrt(294)*-6)))**2.
128/1225
Simplify (-5*((sqrt(475) - (2 + sqrt(475)))*6 - sqrt(475))*4*2)**2.
192000*sqrt(19) + 990400
Simplify (-3*sqrt(7)*-2 + sqrt(7))*3 - (sqrt(700) + 1 + -4).
3 + 11*sqrt(7)
Simplify -2*(sqrt(833)*-2)**2 - (sqrt(833) + (sqrt(833) - (-2 + sqrt(833) + -2))).
-6668 - 7*sqrt(17)
Simplify 4*(3 + -4*(5 + sqrt(126)/sqrt(2)*-1)**2).
-1396 + 480*sqrt(7)
Simplify -2*(sqrt(7) + 2*sqrt(1008) + (sqrt(378)/sqrt(6))/sqrt(9)).
-52*sqrt(7)
Simplify (sqrt(9) + sqrt(36)*-4)/(sqrt(27)/sqrt(9)*-3).
7*sqrt(3)/3
Simplify ((sqrt(4212) + 2)*-3 + 5)**2.
108*sqrt(13) + 37909
Simplify (1*(sqrt(2352) - ((sqrt(2352) - sqrt(2352)*1) + -3)) - (-2*sqrt(2352)*5 + 4 + sqrt(2352)*-2))**2.
-728*sqrt(3) + 397489
Simplify (1 + -1*sqrt(243)*2 + -6*sqrt(243)*2)**2.
-252*sqrt(3) + 47629
Simplify (2 + (sqrt(1539) + -1 + 0 + sqrt(1539) - ((0 + sqrt(1900))*3 + sqrt(1900))) + 4)**2.
-220*sqrt(19) + 9221
Simplify 5 + (-3 + (sqrt(1008)*-2 + sqrt(63) - (sqrt(126)/sqrt(2) + -1)))**2.
96*sqrt(7) + 4041
Simplify -2 + (5 + (sqrt(2057) + sqrt(2057) + -2)**2 - (0 + sqrt(2057))*5).
-143*sqrt(17) + 8235
Simplify (-5*(sqrt(475)*6 - sqrt(475)))**2 + ((sqrt(475) - (sqrt(475) - (4 + sqrt(475))) - sqrt(19))*6)**2.
1152*sqrt(19) + 308395
Simplify (sqrt(140)/(sqrt(21)/(sqrt(3) - -1*sqrt(3))))/(((sqrt(128)/sqrt(4))/sqrt(8) + sqrt(4))*-2).
-sqrt(5)/2
Simplify (-3*(2 + 2*sqrt(80) + -3 - (0 + sqrt(80) + 5 + -2)))**2.
-288*sqrt(5) + 864
Simplify ((sqrt(450) - ((sqrt(450) - sqrt(450)*2) + sqrt(450))*4)/sqrt(9))**2*5.
250
Simplify 6*(6*sqrt(153)*-1*-1)**2*-4.
-132192
Simplify ((-1 + sqrt(1053))*-5)**2*1*4 + -5.
-1800*sqrt(13) + 105395
Simplify (sqrt(153) + 2 + (sqrt(17) - sqrt(51)/sqrt(3))**2 + 0 + sqrt(119)/((sqrt(70)*2)/sqrt(10)))*-3.
-21*sqrt(17)/2 - 6
Simplify (-2*(sqrt(28) - (1*sqrt(448) + sqrt(28))))/(-4*3*sqrt(64)).
-sqrt(7)/6
Simplify (-1*(sqrt(84) - -4*1*sqrt(84)))/(-4*(sqrt(108) + (sqrt(108) + sqrt(108)*5 - sqrt(108)))).
5*sqrt(7)/72
Simplify -6*((sqrt(32) + sqrt(2))**2*6*1 + (-1*sqrt(128))**2 + 2).
-2580
Simplify (-5 + ((-4 + sqrt(300)*1 - sqrt(300)) + 4)**2)*6.
-30
Simplify 1*(-4 + sqrt(891) + 0 + 1*(sqrt(891)*2 - sqrt(891)))**2*3.
-432*sqrt(11) + 10740
Simplify ((-1 + sqrt(68) + -5 + sqrt(68)*1 + -4)*4)**2 + 2.
-1280*sqrt(17) + 5954
Simplify (-5*sqrt(104)*-1 - (sqrt(104) + sqrt(104)*1)*1)/(-1*(sqrt(648) + 1*sqrt(648))).
-sqrt(13)/6
Simplify (0 + -1*sqrt(700) + 5 - (1 + (sqrt(700)*1)**2 + -3)) + -5.
-698 - 10*sqrt(7)
Simplify ((sqrt(120)*-2 + sqrt(120))*1*-6)/(1*(sqrt(1440) - -1*sqrt(1440))).
sqrt(3)/2
Simplify (-6*(-2*(sqrt(66) + sqrt(66)*1 - sqrt(66)) + sqrt(66)))/(-4*-2*sqrt(864)).
sqrt(11)/16
Simplify 3 + (3*(-2 + sqrt(300) + -5*sqrt(300)))**2 + 3.
1440*sqrt(3) + 43242
Simplify (sqrt(30) + -3*sqrt(60)/sqrt(2))/((sqrt(1000) + (sqrt(1000) + sqrt(1000)*-4 - sqrt(1000)) - sqrt(1000)) + sqrt(1000)).
sqrt(3)/15
Simplify ((0 + sqrt(931))*-2 + -4 + -2*(sqrt(931) + 0)*4)**2.
560*sqrt(19) + 93116
Simplify ((sqrt(30)/sqrt(3) - sqrt(10))*6 - sqrt(10))/(4*((sqrt(4)/sqrt(2) - sqrt(2)) + sqrt(2))) + 4.
-sqrt(5)/4 + 4
Simplify (-6*sqrt(70)/(sqrt(35)/sqrt(5)))/(-3*3*sqrt(245)).
2*sqrt(2)/21
Simplify 1*(-4 + 2*(((-2 + sqrt(176))*-2)**2 - (sqrt(176) - sqrt(176)*-2)*-6)).
16*sqrt(11) + 1436
Simplify (((-2*sqrt(768))/sqrt(6) + ((sqrt(320) - (sqrt(320)*2 + sqrt(320))) + sqrt(320))/sqrt(10))*1)**2.
800
Simplify ((sqrt(484)/sqrt(99))/(1*sqrt(4)*2) + sqrt(99)/(sqrt(36)/(-1*sqrt(4))) + 2)**2.
-10*sqrt(11)/3 + 419/36
Simplify (-3*sqrt(99) + -2 - (3*sqrt(99) + -4))**2.
-72*sqrt(11) + 3568
Simplify -4 + (5*sqrt(195)/sqrt(5))/(sqrt(3) + sqrt(3) + sqrt(27)*1).
-4 + sqrt(13)
Simplify ((-2 + sqrt(200) + 1)*-5*6)**2.
-18000*sqrt(2) + 180900
Simplify 5 + sqrt(38)/sqrt(2) + 3 - ((sqrt(2736) - ((0 + sqrt(2736))**2 + sqrt(2736))) + 0).
sqrt(19) + 2744
Simplify (sqrt(325) - (sqrt(325) + ((sqrt(325) + 4)*3 - sqrt(325))**2)) + (((sqrt(13) - sqrt(13)*2) + -1)**2 - -1*(sqrt(13) + sqrt(65)/sqrt(5))**2).
-1378 - 238*sqrt(13)
Simplify (((sqrt(84) - 1*2*sqrt(84))*-1)/((sqrt(72)/sqrt(3)*-1)/sqrt(2)))**2.
7
Simplify 3 + ((sqrt(3520)/sqrt(5))**2 - (sqrt(110)/(-4*sqrt(10)))**2)*1.
11301/16
Simplify (sqrt(405) + -2 + sqrt(405) + sqrt(405))*1 - (-5 + sqrt(5) + sqrt(5) + sqrt(50)/(sqrt(360) + sqrt(10))).
3 + 174*sqrt(5)/7
Simplify 4 + (sqrt(25)/sqrt(20) + -2 - (sqrt(30) - (2*(sqrt(120)/sqrt(4) + sqrt(30)) - sqrt(30)))/sqrt(6)).
2 + 5*sqrt(5)/2
Simplify (-2 + -1*(-3 + (-2 + sqrt(200) + -5 - sqrt(200)))*-1)**2.
144
Simplify (-4*sqrt(180)/sqrt(4))/((sqrt(144) - (sqrt(144) + sqrt(144) + -3*sqrt(144))) + sqrt(144) + sqrt(144))*-2.
sqrt(5)/2
Simplify (5*(sqrt(99) + -1) + sqrt(99) + 2*sqrt(99)*-3)**2 + 1.
26
Simplify (sqrt(68) - 2*-1*sqrt(68))/(-4*sqrt(400)).
-3*sqrt(17)/40
Simplify | {
"pile_set_name": "DM Mathematics"
} |
k(h) = 14295961*h - 7562. Let q(o) = 7564*o - 4. Give 2*k(a) - 3781*q(a).
-7562*a
Let n(c) = 3896*c + 126. Let l(m) = -1948*m - 56. What is -9*l(p) - 4*n(p)?
1948*p
Let y(w) = -18*w**3 + 7*w**2 - 8*w - 101. Let d(x) = -19*x**3 + 6*x**2 - 9*x - 122. What is 5*d(s) - 6*y(s)?
13*s**3 - 12*s**2 + 3*s - 4
Let h(j) = 7*j**3 + 31*j**2 + 60*j + 16. Let l(d) = d**3 + 6*d**2 - d + 3. Give h(m) - 6*l(m).
m**3 - 5*m**2 + 66*m - 2
Let k = 49 + -43. Suppose 6*g - 2*g = 12, q + g - k = 0. Let n(z) = 2*z - z - 11 - q*z - z. Let w(r) = 2*r + 6. Give -6*n(p) - 11*w(p).
-4*p
Let y(b) = 41*b. Let i(q) = 81*q. Let z = 2481 - 2485. Calculate z*i(g) + 7*y(g).
-37*g
Let b(h) = 155*h**2 + 8*h + 6. Let u(o) = o**2 + 5*o. Calculate -b(q) + 2*u(q).
-153*q**2 + 2*q - 6
Let h(l) = -14*l + 2. Let m(k) = 13*k - 2. Let d(r) = 6*h(r) + 7*m(r). Let a(w) = 185*w + 198*w - 382*w. What is -4*a(c) + d(c)?
3*c - 2
Let a(f) = -3*f**2 - 2*f + 9. Let g = 25881 + -25877. Let d(z) = 2*z**2 + 2*z - 8. Calculate g*a(v) + 5*d(v).
-2*v**2 + 2*v - 4
Let s(t) = -t**2 - t - 1. Let a(k) = 4*k + 4 + 0*k - k + 4*k**2. Suppose 0 = 5*r - 6*r + 60. Let y = r + -62. Determine y*a(h) - 6*s(h).
-2*h**2 - 2
Let j(h) = -2*h**3 + 2*h + 2. Let i(c) = 3*c**3 + 30*c**2 - 4*c + 18. Give -i(q) - 2*j(q).
q**3 - 30*q**2 - 22
Let t(h) = 9*h + 6. Let b(d) = -8*d - 7. Let w be (120/(-4))/(-3)*(77/(-22) - -4). Give w*t(g) + 4*b(g).
13*g + 2
Let g(t) = -619*t + 342. Let j(l) = -207*l + 124. Determine 4*g(r) - 11*j(r).
-199*r + 4
Let m(c) = -c**2 + c - 6. Let k(g) = -37*g**2 + 45*g - 72. What is k(q) - 12*m(q)?
-25*q**2 + 33*q
Let y(a) = 2*a**2 - 3*a. Let h(x) = 102*x**2 - 11*x - 2. Calculate -h(f) + 4*y(f).
-94*f**2 - f + 2
Let q(t) = -421*t - 180. Let u(p) = -3168*p - 1260. What is 15*q(d) - 2*u(d)?
21*d - 180
Suppose -54*s + 119 = 11. Let w(v) = s - 715*v**2 + 1438*v**2 - 720*v**2. Let f(t) = -t. Determine 3*f(q) + w(q).
3*q**2 - 3*q + 2
Let p(i) be the first derivative of -i**3/3 + i**2 - 2*i + 26. Suppose -s = -3*h + 10, -3*s + 26*h = 27*h. Let g(b) = 1. Give s*g(t) + p(t).
-t**2 + 2*t - 3
Let h(o) = o**3 + 9*o**2 - 9*o + 12. Let y be h(-10). Suppose -4*a - y*a - 18 = 0. Let j(c) = -5*c**3 + 2*c**2 - c + 3. Let f(x) = x**3 - 1. Give a*f(v) - j(v).
2*v**3 - 2*v**2 + v
Let x(q) = 198*q + 25. Let t(u) = -100*u - 12. Calculate -7*t(p) - 3*x(p).
106*p + 9
Let u(g) = -g**3 + g**2 - 3*g. Let y(b) = -8*b**3 + 5*b**2 - 23*b + 60. Give -7*u(h) + y(h).
-h**3 - 2*h**2 - 2*h + 60
Let x = 16873 + -16872. Let q(z) = 5*z - 13. Let j(c) = c. Give x*q(k) - 2*j(k).
3*k - 13
Let n(y) = -11*y. Let x(p) = -10*p + 1. Suppose 4106*l = 4123*l - 51. Give l*n(r) - 2*x(r).
-13*r - 2
Let y(l) = 46*l**2 + 5*l + 30. Let o(k) = -50*k**2 - 6*k - 35. Let f(u) = 5*o(u) + 6*y(u). Let n(w) = -25*w**2 - 6. Give -6*f(r) - 5*n(r).
-31*r**2
Let c be 1 + -2 + 1 + -1. Let s(i) = -2*i**2 - 6*i - 6. Let r(v) be the first derivative of v**2/2 + v - 797. What is c*s(p) - 8*r(p)?
2*p**2 - 2*p - 2
Let q(l) = -84*l - 105. Let r(k) = -27*k - 35. What is -6*q(z) + 17*r(z)?
45*z + 35
Suppose 39*y - 165 + 3480 = 0. Let w(d) = -15*d**2. Let c(p) be the third derivative of 2*p**2 + 0 + 0*p**4 + 1/60*p**5 + 0*p + 0*p**3. What is y*c(b) - 6*w(b)?
5*b**2
Let v(t) = -849*t**2 + 135*t - 23. Let o(f) = 213*f**2 - 34*f + 6. Calculate 23*o(l) + 6*v(l).
-195*l**2 + 28*l
Let n(j) = 3*j**3 + j**2 - 108*j - 1. Let i(z) = z**3 - z**2 - 9*z - 1. Give i(p) + n(p).
4*p**3 - 117*p - 2
Suppose -37*n + 781 = -60*n - 990. Let i(k) = 77 + 246*k**2 - 80*k**2 + 175*k**2. Let m(d) = -22*d**2 - 5. Determine n*m(o) - 5*i(o).
-11*o**2
Let s(p) = -9*p**3 - 2*p**2. Let y(x) = 10*x**3 + 3*x**2 - 1. Let a be (32/(-24))/(6/1017). Let k = a + 223. Determine k*s(l) - 2*y(l).
7*l**3 + 2
Let o(y) = -2*y**3 - 1414*y**2 + 1. Let z(m) = -6*m**3 - 2828*m**2 + 2. Calculate -5*o(g) + 2*z(g).
-2*g**3 + 1414*g**2 - 1
Let o(j) = 35 + 3*j - 79 + 31. Let t(a) = -2*a + 13. What is -4*o(k) - 5*t(k)?
-2*k - 13
Let s(m) = -22*m - 1477. Let t(d) = -13*d - 740. Calculate -3*s(f) + 5*t(f).
f + 731
Let q(t) = -6*t - 2*t + 307507 - 307510. Let c(z) = 8*z + 2. Calculate 6*c(v) + 4*q(v).
16*v
Let v(m) = -62*m**2 - 304*m - 5. Let n(w) = 30*w**2 + 155*w + 3. Calculate -5*n(h) - 3*v(h).
36*h**2 + 137*h
Let r(b) = -98*b. Let i(c) = -4*c. Let k(s) = 93*s. Let q(g) = 33*i(g) + k(g). Give -12*q(u) + 5*r(u).
-22*u
Let n(r) = -5*r**2 + 6*r + 6. Let v be (29/(-2))/(3/6). Let g = -112 + 77. Let d = g - v. Let x(f) = f**2 - f - 1. Give d*x(s) - n(s).
-s**2
Let p = -39 - -42. Suppose b = p*h - 16, b + 0*h = -5*h + 16. Let i be 27/(-3)*b/((-20)/5). Let j(n) = 5*n. Let v(g) = -g. Determine i*v(o) - 2*j(o).
-o
Let g(q) = 4*q**2 - 34*q - 1. Let j(d) = 2 - 77*d + 1 + 114*d - 2 - 20*d - 2*d**2. Give 3*g(n) + 5*j(n).
2*n**2 - 17*n + 2
Let h(a) be the third derivative of 2*a**2 + 1/24*a**4 + a**3 + 0 - 4*a. Let i(s) = s + 4. Let o be (-8)/1*(0 - -1). Determine o*i(r) + 5*h(r).
-3*r - 2
Let y(r) = 154*r + 3. Let z(o) = 768*o + 14. Calculate -16*y(f) + 3*z(f).
-160*f - 6
Let s(a) = 5. Let g be (-10 - 1025/(-100))/(1/(-12)). Let y(d) = -d - 6. Give g*s(u) - 2*y(u).
2*u - 3
Let x(k) = k + 1. Let s be 27/(-33) + (-2)/11. Let c(f) be the third derivative of -f**4/8 - 4*f**3/3 - 387*f**2. Calculate s*c(t) - 4*x(t).
-t + 4
Let j(v) = -2*v**2. Let m be 12/(-36) + 2/6. Suppose 3*d + 2 + 4 = m. Let l(n) be the first derivative of -n**4/4 + 7*n**3/3 + 109. Determine d*l(p) - 7*j(p).
2*p**3
Suppose -20*p - 61*p - 280 = -37. Let o(g) = 9*g**3 - 2*g**2. Let j(w) = -9*w**3 + 2*w**2. What is p*o(n) - 2*j(n)?
-9*n**3 + 2*n**2
Let n(w) = -19*w + 6. Let a(i) be the first derivative of -23*i**2/2 + 4*i - 68. Let v(y) = -28*y + 4. Let c(p) = -3*a(p) + 2*v(p). Give 8*c(q) + 5*n(q).
9*q - 2
Let q(n) = -4*n**3 - 9*n**2 - 5*n. Let r(b) = -4*b**3 - 5*b**2 + 2*b**3 + 2*b - 5*b. Let i = -1991 + 1996. Determine i*r(t) - 3*q(t).
2*t**3 + 2*t**2
Let k(s) = -19*s**3 + 937*s**2 - 2*s - 27. Let h(q) = 12*q**3 - 624*q**2 + q + 17. What is 8*h(n) + 5*k(n)?
n**3 - 307*n**2 - 2*n + 1
Let a(g) = 14*g. Let w be 0 - 5 - (11 + -12). Let z(l) = 216*l - 665*l + 228*l + 214*l. Give w*a(b) - 7*z(b).
-7*b
Let l(k) = 319*k**2 - 18*k + 1. Let y(g) = 270*g**2 - 18*g. Calculate 2*l(o) - 3*y(o).
-172*o**2 + 18*o + 2
Let y(g) = -3416*g**3 + 2928*g**2 - 976*g + 976. Let w(f) = 5*f**3 - 3*f**2 + f - 1. Give -2928*w(n) - 3*y(n).
-4392*n**3
Let p(b) = -13*b + 3. Suppose 0 = -40*g + 6*g + 20672. Let o = g - 601. Let u(c) = -9*c + 2. Give o*u(i) - 5*p(i).
2*i - 1
Let k(g) = -1624*g**3 + 14*g**2 - g + 13. Let m(n) = -1083*n**3 + 10*n**2 - n + 9. Give 5*k(h) - 7*m(h).
-539*h**3 + 2*h + 2
Let x = 665 + -663. Let w(b) = -10. Let r(z) = -z - 21. Give x*r(n) - 5*w(n).
-2*n + 8
Let x(v) = -v + 2. Let y(o) = 1. Let s = 53 + -27. Suppose -30*n = -s*n - 4. Suppose -5 = -4*t - n. What is t*x(z) - 2*y(z)?
-z
Suppose -119525 = 31*h - 119308. Let o(u) = -2*u + 27. Let a(b) = -b + 14. What is h*a(f) + 4*o(f)?
-f + 10
Let r(t) = 3*t**2 + 2*t. Let c(n) be the first derivative of 0*n - 2/3*n**3 - 12 - n**2. Let d be (5 - 5) + -12 + 9. Calculate d*r(l) - 4*c(l).
-l**2 + 2*l
Let i(t) = 4*t - 3. Let z(j) = 11*j - 9. Suppose -5*r + 660 = 17*r. Let a = r - -33. Suppose q + 66 = a. Give q*z(w) + 8*i(w).
-w + 3
Let v(o) be the first derivative of -2*o**2 + o + 3. Let q = -37 + 61. Let a(b) = -2*b + 26 - 7*b + 2*b - q. Calculate -6*a(m) + 11*v(m).
-2*m - 1
Let a(q) = 55*q. Let i(n) = 499 - 498 - 77*n + 31*n + 102*n. Calculate -3*a(s) + 2*i(s).
-53*s + 2
Let u = -4829 + 4830. Let d(z) = z - 2. Let n(v) be the first derivative of -v + 5. Give u*d(s) - 2*n(s).
s
Let f(v) = 3*v**3 + 4*v - 200. Let h(c) = -16*c**3 - 21*c + 999. Calculate 22*f(k) + 4*h(k).
2*k**3 + 4*k - 404
Let k(a) = a. Suppose 15*h + 78 - 48 = 0. Let g(f) = -3*f - 1. Determine h*g(b) - 9*k(b).
-3*b + 2
Let b(j) = 41*j**2 + 2*j - 508. Let r(i) = 9*i**2 - 102. Determine -3*b(n) + 14*r(n).
3*n**2 - 6*n + 96
Let g(k) = -k - 2. Let s(q) = 1. Suppose -5*f + 17*z - 15*z = -26, -3 = z. Calculate f*s(p) + g(p).
-p + 2
Let f be 54/10 + 13/5 + -2. Let p(t) = -14*t + 2. Let b(g) = -29*g + 4. Determine f*b(z) - 13*p(z).
8*z - 2
Let m(b) = -108*b**2 + 12*b + 44. Let y(p) = -10*p**2 + p + 4. Let h(d) = -3*m(d) + 32*y(d). Let z(l) = -7*l**2 + 7*l + 8. Determine -11*h(j) - 6*z( | {
"pile_set_name": "DM Mathematics"
} |
e u(q(p)).
16*p + 29
Let s(q) = -40*q + 25. Let y(x) = -5*x + 3. Let k(m) = -6*s(m) + 50*y(m). Let u(v) = 242*v - 12*v**2 - 59*v - 55*v - 61*v - 67*v. Determine u(k(f)).
-1200*f**2
Suppose 77 = -15*m - 13. Let g(t) = -13*t + 6. Let y(s) = -35 + 17*s + 10*s + 22. Let o(d) = m*y(d) - 13*g(d). Let u(q) = -3*q**2. Calculate u(o(c)).
-147*c**2
Let q(b) = -155*b. Let j(z) be the third derivative of z**5/15 + 1399*z**2. Give j(q(y)).
96100*y**2
Let h(i) = 17*i**2. Let b(v) = 385*v**2 + 15*v + 15. Calculate b(h(t)).
111265*t**4 + 255*t**2 + 15
Let u(g) = -13680 + 6838 + 6842 - 2*g. Let b(n) = 10*n**2 + 1. Give u(b(k)).
-20*k**2 - 2
Let o(y) be the first derivative of -y**5/60 + 5*y**2 + 15. Let q(k) be the second derivative of o(k). Let x(g) = 7*g**2 + 0*g**2 - 6*g**2. Determine x(q(a)).
a**4
Suppose -4*o + 15 = 3*t, 2*o - 3 - 3 = -2*t. Let q(s) = 2*s + 11*s + o*s - 18*s. Let f(a) = 66*a. Determine q(f(n)).
66*n
Let g(s) = -5*s - 5. Let t(u) = 7*u + 3. Let h(k) = 5*g(k) + 4*t(k). Let d(c) = -c. Let l(o) = o. Let x(a) = -d(a) - 2*l(a). Give h(x(p)).
-3*p - 13
Let b(r) = 5*r**2 + 2*r - 1. Let o(c) = 64*c**2 + 30*c - 13. Let w(u) = -13*b(u) + o(u). Let z(i) = 40*i**2. What is z(w(s))?
40*s**4 - 320*s**3 + 640*s**2
Let x(q) = -2*q + 230. Let w(l) = -82*l - 9. Let r(g) = -26*g - 3. Let y(k) = 6*r(k) - 2*w(k). What is y(x(a))?
-16*a + 1840
Let v(f) = -2*f + 17. Let r(t) = 3286*t**2 - 3*t - 21. What is v(r(x))?
-6572*x**2 + 6*x + 59
Let j(m) = -16*m. Suppose 4*c - 5*l - 13 = 0, 0 = 5*c + 5*l - l - 6. Let f(y) = 6 - 7*y**c - 21 + 15. Calculate f(j(p)).
-1792*p**2
Let i(j) = 421*j - 50. Let x(t) = 101*t - 12. Let c(l) = 6*i(l) - 25*x(l). Let r(p) = -4*p + 6 + 0*p + 7. Determine r(c(h)).
-4*h + 13
Suppose 4*a + 6 = 3*x + 7*a, 1 = -x - 4*a. Let s be 3/((x + -5)/(-2)). Let q(v) = -s*v + 8*v + 2*v + 6*v. Let d(j) = -j**2. Give d(q(o)).
-169*o**2
Let a(u) = -2716*u. Let c(x) = 21*x**2 + x. Let z(m) = 82*m**2 + 4*m. Let g(f) = 4*c(f) - z(f). What is a(g(j))?
-5432*j**2
Let r(s) = s**2 - 18*s. Let x(y) = -2*y**2 + 45*y. Let c(z) = 5*r(z) + 2*x(z). Let t(u) = -57*u**2 - u**2 - 12*u**2. What is c(t(k))?
4900*k**4
Let v(h) = -11*h + 5. Let i(b) = 39*b - 18. Let l(z) = -5*i(z) - 18*v(z). Let j(r) = 2061 - 3*r - 6181 + 2069 - 11*r**2 + 2051. What is j(l(s))?
-99*s**2 - 9*s
Let h(o) = o + 2162. Let f(n) = -2*n**2 + 4*n - 87. What is f(h(r))?
-2*r**2 - 8644*r - 9339927
Let b(h) = -11*h. Let j(v) = -1601211*v - 6. Give b(j(o)).
17613321*o + 66
Let q(w) = -1065*w**2. Let y(a) be the third derivative of -7*a**5/60 - 3*a**2 - 95*a + 3. What is q(y(h))?
-52185*h**4
Let m(g) = -9011522*g. Let o(b) = 4*b + 5. Determine m(o(c)).
-36046088*c - 45057610
Let z(p) = 5*p**2. Let j(w) = -2*w**2 + 6325*w + 14. Give j(z(y)).
-50*y**4 + 31625*y**2 + 14
Let h(q) = -214*q**2 - 2*q - 2. Let t(l) = 1744*l. What is h(t(b))?
-650888704*b**2 - 3488*b - 2
Let y(q) be the first derivative of -51*q**2 + 24. Let i(d) = 29*d. Let z(o) = 18*i(o) + 5*y(o). Let n(x) = -3*x - x + 2*x. What is n(z(t))?
-24*t
Let r(j) = 5*j**2. Let h(w) = -26079353*w**2. Calculate r(h(q)).
3400663264493045*q**4
Let r(j) = 2*j**2 + 134*j. Let h(b) be the first derivative of -10*b**2 - 8207. What is r(h(m))?
800*m**2 - 2680*m
Let p(r) = -238*r - 350*r + 506*r. Let i(d) = 24*d**2. Determine i(p(a)).
161376*a**2
Let s(g) = -2*g. Let w(l) = 55 - 2745*l**2 - 88 + 33. Calculate s(w(x)).
5490*x**2
Let b(d) = d - 17. Let n(j) = 4*j**2 - 8*j + 136. Let a(r) = -8*b(r) - n(r). Let l(p) = 1912*p**2. What is l(a(i))?
30592*i**4
Let w(g) = 116899*g. Let p(b) = -8*b**2 - 1. Calculate p(w(l)).
-109323009608*l**2 - 1
Let b(k) = k. Let t(y) = -845*y**2 + 142*y + 4. What is t(b(x))?
-845*x**2 + 142*x + 4
Let l(a) be the second derivative of 0*a**2 + 12*a + 0 + 35/6*a**3. Let c(v) = -v**2. Calculate l(c(h)).
-35*h**2
Let i(k) = 21*k. Let n(v) be the third derivative of -v**7/1260 - 47*v**5/30 - 20*v**2 + 2*v. Let g(f) be the third derivative of n(f). Determine g(i(l)).
-84*l
Let u(c) = 2*c**2 + c + 2. Let h(w) = 3*w**2 - 17*w - 13. Let v(y) = h(y) + 6*u(y). Let i(l) = -2*l. Give v(i(s)).
60*s**2 + 22*s - 1
Let s(c) = -1 + 8 - 3*c - 9*c + 21*c. Let y(k) = 7*k + 6. Let g(h) = -3*s(h) + 2*y(h). Let l(u) = -u. What is l(g(w))?
13*w + 9
Let p(x) = x**2. Let y(c) = 25*c + 7579. Let n(z) = -18*z - 5054. Let f(d) = -7*n(d) - 5*y(d). Determine f(p(t)).
t**2 - 2517
Let s(z) be the second derivative of 3*z + 0*z**2 + 4 - 1/2*z**3. Let y(r) = -86*r**2. Calculate s(y(f)).
258*f**2
Let a(s) = -519*s**2. Let x(n) = 1981*n**2 - 35*n + 35. Let c(r) = -170*r**2 + 3*r - 3. Let i(f) = 70*c(f) + 6*x(f). What is a(i(y))?
-101724*y**4
Let t(c) = -25*c. Let p(m) = 834470*m. Determine t(p(z)).
-20861750*z
Let j(k) = k - 51. Let z(o) = 18*o - 240. Let p(l) = 5*l - 70. Let a(c) = 24*p(c) - 7*z(c). What is a(j(y))?
-6*y + 306
Let n(l) be the first derivative of -l**2 + 572*l - 4187. Let b(f) = 14*f**2. Calculate b(n(j)).
56*j**2 - 32032*j + 4580576
Let m(v) = -25*v. Let p(w) be the first derivative of -5*w**4/24 - 25*w**2/2 - w + 158. Let g(q) be the second derivative of p(q). Calculate m(g(n)).
125*n
Suppose -9*m + 0*m = -3762. Let z(k) = -m + 418 + 3*k**2 + 0*k**2. Let q(a) = -28*a. Calculate z(q(i)).
2352*i**2
Let h(v) = 5*v**2. Let c(p) be the third derivative of p**6/90 - 71*p**3/6 - p**2 + 44. Let l(t) be the first derivative of c(t). Give l(h(i)).
100*i**4
Let r(c) be the third derivative of c**4/24 - 983*c**3/6 - 191*c**2 - 3*c. Let o(z) = -4*z. Give r(o(l)).
-4*l - 983
Let j(w) = -4*w**2. Suppose 5*u + 28 = 183. Let i(o) = -31 + u - 2*o**2 + 12*o**2. What is j(i(m))?
-400*m**4
Let k(p) = -4*p. Let v(a) = 106*a**2 + 7*a + 64. Let z(x) = 71*x**2 + 4*x + 40. Let r(s) = -5*v(s) + 8*z(s). Determine k(r(g)).
-152*g**2 + 12*g
Let k(z) = 2*z. Let y(d) = 184*d**2 - 8*d - 8. Let w(s) = s**2 - 15*s + 42. Let u be w(5). Let o(n) = -n**2 + n + 1. Let h(t) = u*o(t) - y(t). What is k(h(g))?
-352*g**2
Let h(a) = a**2. Let k(n) = 72768838*n**2. Give k(h(z)).
72768838*z**4
Let j(u) = 11*u - 79. Let h(g) = 10*g - 84. Let s(b) = -8*h(b) + 7*j(b). Let y(r) = 3*r. Determine s(y(c)).
-9*c + 119
Let y(f) = -21*f. Let p(x) = -4*x**2 - 6*x. Let u be (-12)/21 - 4/28*10. Let q(b) = -27*b**2 - 45*b. Let k(l) = u*q(l) + 15*p(l). What is y(k(a))?
126*a**2
Let h(q) = -2*q**2. Let s(m) = -1428*m + 13. Let z(w) = -1431*w + 11. Let i(d) = 5*s(d) - 6*z(d). Give h(i(o)).
-4181832*o**2 + 5784*o - 2
Let p(w) = -67*w**2 + 71 + 370*w**2 + 139*w**2 - 305. Let y(n) = -2*n**2 + 1. Let u(f) = -2*p(f) - 468*y(f). Let z(g) = 2*g + 0*g - 3*g. What is u(z(c))?
52*c**2
Let k(n) = 2*n**2 + 7*n**2 - 8*n**2 - 2*n**2. Let r(q) = -5*q - 54. Let v be r(-12). Let x(b) = -24 - 5*b - 2*b + 3*b + v*b. What is x(k(t))?
-2*t**2 - 24
Let b(c) = 153*c**2 + 1. Let p(d) be the third derivative of 14 + 0*d**3 + 1/12*d**4 + 4*d**2 + 0*d. Calculate p(b(g)).
306*g**2 + 2
Let z(u) be the third derivative of 0*u**3 + 21/8*u**4 + 0 + 0*u - 55*u**2. Let h(c) = 3*c. What is z(h(v))?
189*v
Let f(z) = -2*z**2. Let r(o) be the first derivative of -4*o**3 - o**2 + 1163. Determine r(f(v)).
-48*v**4 + 4*v**2
Let q(f) = -40542*f. Let a(w) = 15*w + 21. Give q(a(l)).
-608130*l - 851382
Let k(n) = -3*n**2. Suppose -32 = -6*w + 2*w. Let z(i) = 2*i - 10. Let t be z(w). Let g(a) = -t*a**2 + a**2 + 6*a**2. Determine g(k(l)).
9*l**4
Let s be ((-50)/(-3))/(6/(-4644)*-12). Let l(i) = -538 - 537 + s + 18*i. Let z(x) = 2*x. Calculate l(z(c)).
36*c
Let p(z) = 218*z - 2. Let r(k) = 2*k**2 + 11154*k. Determine p(r(t)).
436*t**2 + 2431572*t - 2
Let a(u) = 7*u + 15 - 1 - 2 - 6*u. Let q(f) be the third derivative of -f**5/60 - 1033*f**2 - 2*f. Calculate a(q(j)).
-j**2 + 12
Let l(w) = 121272964*w. Let a(z) = 2*z. Give a(l(j)).
242545928*j
Let r(b) be the second derivative of 13373*b**4/6 + 4823*b. Let s(g) = -2*g. Determine s(r(p)).
-53492*p**2
Let a(w) = 49 + 0*w - 3*w - 106 + 57. Let p(o) = 0*o - 8*o + 2*o. Give p(a(b)).
18*b
Let p(u) = -u - 108. Let c(v) = -14*v - 324. Let w(l) = c(l) - 3*p(l). Let j(k) = 47*k**2 - k. What is j(w(h))?
5687*h**2 + 11*h
Let x be (3/(-2))/(18/(-24)). Let t(s) = 10*s**2 + 2*s**2 - s**x - 10*s**2. Let h(u) = -4*u. Determine t(h(i)).
16*i**2
Let d(l) = -7*l**2. Let g(q) = -601410*q. Calculate d(g(m)).
-2531857916700*m**2
Suppos | {
"pile_set_name": "DM Mathematics"
} |
)*(-4*w - 2*w + 5*w).
-10*w**2
Expand 9*j - 5*j + 10*j + (3*j + 3*j - 4*j)*(2 - 2 - 1).
12*j
Expand (-v + 2 - 2)*(v**3 + 2*v**3 - 2*v**3) + 3 - 3 - 2*v**4 + (4*v**3 - 5*v**3 - 4*v**3)*(3 - 2*v + 0 + v).
2*v**4 - 15*v**3
Expand (4*n - 3*n + 0*n)*(3*n - 3*n - 4*n) + n**2 + 0*n**2 + 0*n**2 + 2 - 3*n.
-3*n**2 - 3*n + 2
Expand ((2*t + 1 - 1)*(0 + 0 - 1) - 2*t - 2 + 2 + t + 3*t - t - 2)*(-2 - t - 3*t - t).
5*t**2 + 12*t + 4
Expand (0 - 4 + 5)*(3*u**2 + 10 - 10).
3*u**2
Expand (-44 + 72 - 37 - 3*t)*(-2 + 2*t + 2).
-6*t**2 - 18*t
Expand (-m + 1 - 1)*(-1 - 2 + 0)*(3*m - 2*m - 4*m).
-9*m**2
Expand -k - 2 + 0*k + 0*k + (-1 - 2 + 1)*(5 + 2*k - 5) + k - 5*k - 2*k.
-11*k - 2
Expand (0*j + 12 - 9 + j)*(6*j + 0*j - j).
5*j**2 + 15*j
Expand (2 - 2 - 6*y)*(3 + 3 - 4) + 1 + 2*y - 1.
-10*y
Expand (-6 + 3 + 2)*(0*o - 2*o - 2*o)*(1 - 5*o - 1).
-20*o**2
Expand (-5*v + 3*v + 0*v)*(-3 + 4 + 1 + (0 - 3 + 1)*(2 - 1 - 3) + 4 + 0 - 2 + 1 + 2 - 2 + 0 + 2 + 0 + 2 - 3 + 0).
-20*v
Expand (-7*x**3 + 11*x**3 + 5*x**3)*(1 - 2 + 2)*(3 + 0 - 4).
-9*x**3
Expand (-y + 3*y + 3*y)*(-2*y + y - y + 0 + 0 + 2*y + (0 + 3 - 2)*(2*y - 2*y + 2*y)).
10*y**2
Expand -7*n - 7 + 7 + (-1 + 2*n + 1)*(2 + 3 - 2).
-n
Expand (2*a**3 + 0*a + 0*a)*((-1 - 2 + 4)*(-2 - 1 + 1) + 8 - 1 + 3).
16*a**3
Expand (1578 - 37*u**2 - 1578)*(-4 + 4 - 2*u).
74*u**3
Expand (3 + 0 - 1 + (-2 - 3 + 4)*(2 - 1 + 0))*((0*b - b + 0*b)*(1 + 5 - 4) - 2*b - 3*b + 3*b - 4*b - 2*b + 4*b).
-6*b
Expand 2*z**5 + 60 - 60 + (3*z**3 - 3*z**3 + z**3)*(1 - 2*z**2 + 3 + 4*z**2).
4*z**5 + 4*z**3
Expand (-6 - 3*o + 2*o + 3*o)*((-2 - 2*o + 2)*(4 - 2 - 4) + o + 0*o + 0*o - 2*o + 2*o + 2*o).
14*o**2 - 42*o
Expand (-4 + 6 - 4)*(-5*i + 5*i + i) + 4*i - 2*i - 4*i.
-4*i
Expand (0*i + 0*i - 4*i)*(1 - 2*i**3 - 1).
8*i**4
Expand (g**2 + 4 - 6 - 1)*(0*g**3 - g**3 - 4*g**3).
-5*g**5 + 15*g**3
Expand (-2*r + 2 - 2)*(0 - 2 + 6*r - 4*r).
-4*r**2 + 4*r
Expand (-5 + 146*x + 141*x - 280*x)*(-2 - 5 + 5).
-14*x + 10
Expand -s**3 + 67*s - 66*s - s**3 + (-3*s + 3*s + 2*s)*(s**2 - 2*s**2 + 3*s**2).
2*s**3 + s
Expand (-2 + 1 + 2)*(-2 + 2 + 3*i) + i - 4*i + i.
i
Expand (-76 - 16*p + 76)*(-p - 5*p + p).
80*p**2
Expand ((u - u - u)*(u + 3*u - 5*u) + 3*u**2 + 0*u**2 - u**2 - u**2 + 15*u**2 + 3*u**2)*(0 - 4 + 2).
-40*u**2
Expand (-2*o**3 + 2*o**3 + 2*o**3)*(1 - 1 + 1) + (-o**3 + 2*o**3 - 3*o**3)*(-5 + 1 + 6).
-2*o**3
Expand (0*v**3 - 3*v**3 + v**3)*(2 + v - 2)*(-3*v + 6*v - 4*v).
2*v**5
Expand (336 - 15*a - 680 + 343)*(-3*a**2 - a**2 + 2*a**2).
30*a**3 + 2*a**2
Expand (0 - 3 + 2)*((0*c + 0*c + c)*(2*c + 6 - 6) + (-2*c + 0*c + 4*c)*(2*c - 2*c + c)).
-4*c**2
Expand (f**3 + 2*f**3 - 4*f**3)*(-2 + 1 - 2*f - 2*f**2 + 3*f).
2*f**5 - f**4 + f**3
Expand (2*u**3 - 3*u**3 - 15 - u**3)*(-3*u + u + u).
2*u**4 + 15*u
Expand (3 + 12 + 10)*(-2*f - 1 + 1).
-50*f
Expand (4*k + 3*k**3 - 4*k)*(-5 - 3*k + 5).
-9*k**4
Expand (-6*m + 2*m + 3*m)*(0 - 7*m + 0) + 4 - 4 + 3*m**2.
10*m**2
Expand (-n - 3*n + 6*n)*(-n - n + 4*n) + (n - 2*n + 0*n)*(-5 + 2*n + 5) - 65*n + 3*n**2 + 1 + 39*n + 34*n.
5*n**2 + 8*n + 1
Expand (4 - 4 + 1)*(-2*c + 4*c + 5*c) + 0*c - 4 + 0*c - 2*c + (-c + 0*c + 3*c)*(-1 - 1 + 3) + 1 + 2*c - 1 - 1 + 1 - 2*c + 4*c + 0*c - 2*c.
9*c - 4
Expand 5*n**4 - 4*n**4 - 3*n**4 + (-n + 4*n - 2*n)*(-7*n**3 + n**3 + 3*n**3) + 0*n**4 - 2*n**4 + n**4.
-6*n**4
Expand (0 + h**2 + 0)*(0*h**3 + 15*h**3 + 3*h**3).
18*h**5
Expand (d - 1 - 2*d + 5 + 2*d - 4 + 4 + (2*d - 3*d + 2*d)*(-2 + 2 + 2) - 4*d + d + 2*d)*(5*d - 2*d + d).
8*d**2 + 16*d
Expand (5*w - w - 2*w + w + 2 - 2 + (1 + 4 - 4)*(2*w + w - w) - 1 + 2*w + 1 + 1 - 1 + 2*w - 4 + 4 - 2*w)*(1 + 0 - 2*w + 3*w).
7*w**2 + 7*w
Expand (-2*u + 2*u - u + 5 + u - 5 + (0 + 0 + u)*(2 + 0 + 0))*(9*u**3 - 9*u**3 + 7*u**4).
14*u**5
Expand 2*q + 1 - 1 + 0*q + 2*q - q + 2*q + 4 - 4 + (1 - 1 + q)*(3 - 4 + 3) + (1 - 4 - 1)*(5*q - 3*q + 0*q).
-q
Expand (0 + 0 - 1)*(2*b - 2*b + 2*b)*(b - b - 6*b).
12*b**2
Expand (4*p - 3 + 3)*(1 + 0 - 2) + 17*p - 8*p - 10*p.
-5*p
Expand (1 - 1 + 1)*(4*t + 3*t - 5*t) + 40 - 43 - t + 0*t.
t - 3
Expand (46*i**5 - 156*i**5 - i + 82*i**5)*(-3 + 5 + 0).
-56*i**5 - 2*i
Expand ((5*y**2 - 5*y**2 + y**2)*(-4 + 2 + 0) + y - 2*y**2 - y)*(-6 - y + 6).
4*y**3
Expand (-7*g**2 + 3*g**2 - 8*g**2)*(4*g - g - 5*g).
24*g**3
Expand (1 - 6 + 4)*(0*k + 0*k + 2*k) + k - 2*k - k + (0 + 6 - 4)*(0*k - k + 3*k) + 0*k - k + 0*k + 4*k + 4*k + 3*k.
10*k
Expand (3 + 2 - 3)*(-542*n**2 - 546*n**2 + 1080*n**2).
-16*n**2
Expand (10*u**2 + 6*u - 6*u)*(4*u + 2*u - 2*u).
40*u**3
Expand -3*o**3 + o**3 + 0*o**3 + (o - 2*o + 2*o)*(4*o**2 - 3*o**2 - 3*o**2) + 4*o - 4*o - o**3 - 10*o**3 - 69 + 69 + (0*o - o + 0*o)*(1 + 2*o**2 - 1).
-17*o**3
Expand -4*i**4 + 3*i**4 + 0*i**4 - i**4 + 0*i**4 + 0*i**4 + (-i - 4*i + 3*i)*(3*i - 3*i - i**3) + i**4 - 4 + 4 - 5*i**4 - 10*i**4 + 11*i**3 - 12*i**3.
-14*i**4 - i**3
Expand 10*l**3 + 5*l**3 + 0*l**3 + (2*l + 4 - 4)*(2*l**2 + 0*l**2 + 0*l**2).
19*l**3
Expand 2*k**2 - k**2 + k**2 + (-110 + 5*k + 110)*(-k - 1 + 1) + 3*k**2 - 2 - 1 - k**2.
-k**2 - 3
Expand (4 - 6 + 1)*(-3*k + 0*k + k) - 2*k + 3*k + 0*k + (-4 + 0 + 2)*(-2 - 2*k + 2) - 6*k + 2*k + 2*k - 5*k + 5*k + 2*k.
7*k
Expand 3*p**2 - p**2 + 0*p**2 + 4*p**2 - p**2 - 2*p**2 + (-p + p - 2*p)*(3*p + 0*p - 4*p) + 0*p**2 - 2*p**2 + p**2 + 4*p**2 + 2*p**2 - 2*p**2.
8*p**2
Expand (-35*r + 35*r + 17*r**2)*(-r - 2*r + 5*r) - 1 + 1 - 2*r**3.
32*r**3
Expand (216*j - 216*j + 11*j**2)*(42*j - 2*j**2 + 8 - 42*j).
-22*j**4 + 88*j**2
Expand (-3 + 3 - 2*x)*(x + 2 - 2)*(-5 + 4 + 4).
-6*x**2
Expand -4*p**4 - 5*p + 5*p + (-2*p**3 - p**3 + 2*p**3 + (2 + 1 - 4)*(2*p - 2*p + p**3))*(2*p - 6*p + 3*p).
-2*p**4
Expand (5*n**2 + n**2 - 5*n**2)*(-3 + 2*n + 3)*(-2*n - 2*n + n).
-6*n**4
Expand (1 - 3 + 1)*(d**3 - d**3 - d**3) - 2*d + 2*d - 2*d**3 - 2*d**3 - 2*d**3 + 3*d**3 + d**3 + 0*d + 0*d.
-d**3
Expand (-4*r + 6*r + 0*r - 2*r + 4*r - r + r + 0*r + r - 1 - 2*r + 1 + (-4*r + r + r)*(0 + 3 - 1) - r + 3*r - 5*r)*(4*r - r - r).
-8*r**2
Expand -48 + 48 - 25*n**2 + (-2 - 2 + 3)*(0*n**2 + 2*n**2 - 3*n**2).
-24*n**2
Expand (-3*y**3 + y**3 + 3*y**3)*(20 + 5*y - 17 + 1).
5*y**4 + 4*y**3
Expand 0*v**3 - 4*v**3 - 10*v**3 + (-v**3 + v - v)*(3 - 1 + 0).
-16*v**3
Expand (o + 0*o + 0*o)*(6*o - 3*o - 2*o) + 9*o**2 + o - 2 - 7*o**2 + 3*o**2.
6*o**2 + o - 2
Expand (-2*t**2 + t**2 + 0*t**2)*(-3 + 3 + 4*t) + 0*t**2 + 0*t**2 + 3*t**3.
-t**3
Expand (2*z**3 + 1 - 1)*(4 + 11 - 11) - 2*z - z**3 + 2*z.
7*z**3
Expand 1 - 1 + g + (2*g - 2*g - g)*(-1 - 4 + 3) + (4 + 0 - 6)*(37 + 2 - 6)*(0*g + 0*g + g).
-63*g
Expand (t**5 - 2*t**5 + 3*t**5)*(1 + 3 - 6 - 1 + 0 - 1 + (-3 + 4 + 1)*(1 - 2 + 2) - 5 - 3 + 5).
-10*t**5
Expand (-1 + 2 + 0)*(-1 + 1 + 2*f) + 115 + 9*f - 115.
11*f
Expand (5 - s**2 - 5)*(-15 + 12 + 76).
-73*s**2
Expand (-2*m + 0*m + 0*m)*(7*m**2 + 10*m**2 - 5*m**2) + (2 - 2 - 1)*(2*m**3 + 0*m + 0*m) - m**3 - 3 + 3.
-27*m**3
Expand -4*n**3 + 0*n**4 + 6*n**4 - 4*n**4 + (0*n**3 - 4*n**3 + 3*n**3)*(-2*n + 4 - 4).
4*n**4 - 4*n**3
Expand 3*x**5 + 2*x**5 - 6*x**5 - 7*x**3 + 9*x**5 + 7*x**3 + (4*x**2 + x**3 - 4*x**2)*(-x**2 + 1 - 1)*(-2 + 3 + 2).
5*x**5
Expand (r**3 - 3*r**3 - 2*r + 0*r**3)*(2 - 3 + 0 - 2 + 0 + 5 - 4 + 2 + 0 + 1 - 1 + 2 + (-2 + 4 - 4)*(-5 + 5 + 2) + 2 + 0 - 1)*(2 + 4 - 4).
4*r**3 + 4*r
Expand (0 - 5 + 2)*(2 + 3 - 6)*(-2*b + b + 3*b) + 0 + 0 + 2*b + (b - 2*b + 0*b)*(1 - 4 + 1).
10*b
Expand (-2*x**4 - 5*x**4 + 3*x**4 - 4*x**4 + 3*x**4 + 2*x**4 + (1 - 1 - x)*(-1 - 2*x**3 + 1))*(2 + 3 - 3).
-2*x**4
Expand 3*r + 8*r - 2*r + 0 - 3*r + 0 + (-1 + 3 - 1)*(r - 2 + 2) + 1 - 1 - r + (3 - 3 - 2*r)*(1 + 3 - 3).
4*r
Expand (t - 1 - 2*t - t + (3*t - 3*t - t)*(3 + 0 - 2))*(t - 4*t + 0*t)*(-2 + 2*t + 2).
18*t**3 + 6*t**2
Expand (-5*y + 3*y + 4*y)*(-2 + 2 + 2) - 2 + 0 + 2*y - 18.
6*y - 20
Expand 2*q**3 - 2*q**3 - 2*q**4 + (-4*q + 4*q - 3*q)*(q - q + 19*q**3).
-59*q**4
Expand (-h - h + 0*h)*(-9*h**3 + 5*h**4 + 9*h**3) + h**5 + h**5 + 0*h**5 + (3*h**3 - 2*h**4 - 3*h**3)*(-h + 0*h + 3*h).
-12*h**5
Expand (3 - 5 - 18)*((-4*y + y + y)*(-1 - 8 + 5) - y + y + y).
-180*y
Expand (-2*p**2 + p**2 + 3*p**2)*(-1 + 1 - p**2 + (-p + 0*p + 2*p)*(-3*p + 2*p + 0*p)).
-4*p**4
Expand (-1 + 1 + 2*k**2)*(-2*k**2 + 0*k**2 + 3*k**2) + 7*k**4 - 10*k**4 - 1 + 9*k**4.
8*k**4 - 1
Expand c**2 + c**2 - 3*c**2 + (-c**2 + 4*c**2 - 2*c**2)*(-1 + 2 - 3) - 2*c**2 + c**2 + 0*c**2 + | {
"pile_set_name": "DM Mathematics"
} |
cond derivative of 0 - 3/10*s**5 + 4/21*s**4 + 1/21*s**7 + 0*s**2 + 2/105*s**6 + 4/21*s**3 - 6*s. Solve k(f) = 0 for f.
-2, -2/7, 0, 1
Factor -42 + 154*t**2 - 198*t**2 - 10*t - 18*t - t**3 - 57*t.
-(t + 1)**2*(t + 42)
Let l(s) = -2*s**2 + 7*s + 6. Let u(o) = 3*o**2 - 15*o - 12. Let b(m) = 5*l(m) + 3*u(m). Let n be b(-9). Suppose h**3 - h**2 + h**2 + h**n = 0. Calculate h.
0
Let k = 3581 - 143233/40. Let b(y) be the third derivative of -4*y**2 + 0 - k*y**5 - y**3 + 0*y + y**4. Solve b(l) = 0.
2/7, 2
Let d = -146 + 148. Let a(p) be the second derivative of 3/14*p**7 - 3/20*p**5 + 0*p**4 + 0*p**d + 0*p**3 + 0 - 7*p + 1/5*p**6. Let a(b) = 0. Calculate b.
-1, 0, 1/3
Let c(l) be the third derivative of -l**7/525 - l**6/300 + 9*l**5/50 - 9*l**4/20 - 18*l**3/5 + 248*l**2. Determine k so that c(k) = 0.
-6, -1, 3
Let y(r) be the first derivative of 4/15*r**3 - 1/15*r**6 + 8/25*r**5 - 1/2*r**4 + 19 + 0*r + 0*r**2. Suppose y(d) = 0. Calculate d.
0, 1, 2
Let v(g) = -g + 1. Let k be v(5). Let l = 8 + k. Determine r so that 1 - 1 - r**5 + r**l = 0.
0, 1
Let j = 432 - 429. Let q(o) be the third derivative of 1/28*o**4 + 1/420*o**6 + j*o**2 + 0*o + 0 + 1/42*o**5 - 3/7*o**3. Suppose q(u) = 0. What is u?
-3, 1
Let k(j) = -2*j**3 + j**2. Let f(y) = 21*y**3 - 11*y**2 - 58*y - 24. Let c(h) = f(h) + 6*k(h). Let c(t) = 0. What is t?
-2, -4/9, 3
Let x(b) be the third derivative of -b**5/140 + b**4/56 - 7*b**2. Factor x(y).
-3*y*(y - 1)/7
Let x(h) be the first derivative of h**5/110 + h**4/66 + 17*h - 13. Let c(d) be the first derivative of x(d). Find b such that c(b) = 0.
-1, 0
Suppose -4 = 2*m + 8. Let k be 285/42 + m + 2/(-7). Factor 1/2*f + 1 - k*f**2.
-(f - 2)*(f + 1)/2
Let c be 16/108*(-4 + 55/10). Solve 0 - 1/3*t**3 + 1/9*t**5 - 8/9*t**2 + c*t**4 - 4/9*t = 0.
-2, -1, 0, 2
Let a(c) = c**3 + 66*c**2 - 65*c + 136. Let d be a(-67). Factor 363/2 - 33*s + 3/2*s**d.
3*(s - 11)**2/2
Let r(l) be the third derivative of -12*l**2 + 24*l**3 + 0 + 2*l**4 + 0*l + 1/15*l**5. Factor r(q).
4*(q + 6)**2
Let h = -35 + 16. Let o = h + 20. Find y such that 5*y + 7*y**2 - o + y - 12*y**2 = 0.
1/5, 1
Find o such that 48*o**2 - 19*o - 43*o**2 - 45 + 59*o = 0.
-9, 1
Let p(z) be the third derivative of z**6/90 + 4*z**5/15 + 7*z**4/6 + 3*z**3 - 36*z**2. Let t(f) be the first derivative of p(f). Factor t(h).
4*(h + 1)*(h + 7)
Let w be (224/(-68))/4 + 1. Let g = 8/51 + w. Factor 2/3*t - 1/3*t**2 - g.
-(t - 1)**2/3
Let w(n) = -n**2 + 7*n - 7. Let h be w(5). Factor -6*u + 10*u - 19*u**2 + 12*u**h + 3*u**2.
4*u*(u - 1)*(3*u - 1)
Suppose -63*p + 105 = -21. Let p*k - 2*k**2 + 0 + 1/2*k**3 = 0. What is k?
0, 2
Let l(u) be the third derivative of u**8/66 + 92*u**7/1155 + 31*u**6/660 - 41*u**5/165 + u**4/33 + 8*u**3/33 - u**2 + 8*u. Let l(q) = 0. Calculate q.
-2, -2/7, 1/2
Let m(i) = 3*i**2 + 3*i - 3. Let s be m(-3). Factor -5*c - 16 + 0*c**3 - 20*c**2 - s*c**3 + 16.
-5*c*(c + 1)*(3*c + 1)
Let s(p) be the second derivative of -31*p + 0*p**2 + 0 - 4/3*p**3 - 14/15*p**6 + 12/5*p**5 - p**4. Factor s(x).
-4*x*(x - 1)**2*(7*x + 2)
Let t(u) = 9*u + 53. Let j be t(-13). Let l = -64 - j. Determine n, given that -2/5*n**2 - 2/5*n**4 + 0 + l*n + 4/5*n**3 = 0.
0, 1
Let p = -334/21 - -346/21. Suppose -2/7*s**4 + 2/7 + p*s**3 - 4/7*s + 0*s**2 = 0. Calculate s.
-1, 1
Suppose -20*u - 25*u**3 + u**4 + 35*u**2 - 2*u**4 + u + 6*u**4 + 4*u = 0. What is u?
0, 1, 3
Let g(q) = -q**2 - 12*q + 16. Let s be g(-13). Factor -s*d + 8 - 2*d**2 + 3*d + 0*d.
-2*(d - 2)*(d + 2)
Let k(g) = g**3 + g + 5. Let z be k(0). Solve -z*w**2 + 2*w**3 - 8*w**2 + 5*w**2 = 0.
0, 4
Let s = 10 - 7. Factor 8*j**2 + 0*j**s + 5*j - j**3 - 13*j - j**3.
-2*j*(j - 2)**2
Let q be (12/15 - (-5 - -7)) + (-24)/(-10). Determine o so that 2/5*o**4 - 12/5*o**2 - q + 0*o**3 - 16/5*o = 0.
-1, 3
Suppose 2*a - 4*i = 38, 0*i + 2*i - 76 = -4*a. Let x = a - 17. Factor 2*p**2 - 4*p**4 - x*p**3 + 0*p**4 + 0*p**3.
-2*p**2*(p + 1)*(2*p - 1)
Let h(u) = 2*u**2 - 3*u + 2*u**2 - u + 1 + 2. Suppose -1 = 2*z - 3. Let o(l) = -l**2 + l - 1. Let m(w) = z*h(w) + 3*o(w). Factor m(c).
c*(c - 1)
Let y(m) = -m**4 + m**2 - m. Let g(d) = 5*d**4 + 8*d**3 + 9*d**2 + 10*d. Let a(h) = -g(h) - 4*y(h). Solve a(l) = 0.
-6, -1, 0
Let j(k) = 2*k**2 - 11*k + 2. Let f(q) = 3*q**2 - 12*q + 3. Suppose 34*n = 35*n - 6. Let h(o) = n*j(o) - 5*f(o). Factor h(w).
-3*(w + 1)**2
Let h(t) be the second derivative of t**4/6 - 8*t**3/3 - 47*t. Factor h(y).
2*y*(y - 8)
Let y = 4323 - 4321. Solve -2/5*r + 2/15 - 8/15*r**y = 0 for r.
-1, 1/4
Let s = 1289/100 - -2/75. Let z = s - 38/3. Factor k + z*k**2 + 3/4.
(k + 1)*(k + 3)/4
Let u be (-2 - (-21)/14)*1/2*-12. Suppose -3/4*x**4 + 3*x**2 - 3*x**u + 3/4*x**5 + 0*x + 0 = 0. Calculate x.
-2, 0, 1, 2
Let k(w) be the first derivative of -w**6/3 + 24*w**5/5 - 21*w**4/2 + 20*w**3/3 + 36. Solve k(s) = 0 for s.
0, 1, 10
Let b(n) be the third derivative of n**7/735 - n**6/420 - 2*n**5/105 + n**4/21 + 8*n**2. Determine v so that b(v) = 0.
-2, 0, 1, 2
Suppose 2*q - 181*d + 179*d = 18, -33 = -2*q + 5*d. Factor -4/7*i**q + 2/7*i**5 + 0*i**2 + 0*i**3 + 0*i + 0.
2*i**4*(i - 2)/7
Let o(d) be the third derivative of d**6/30 - 3*d**5/10 + 5*d**4/6 - d**3 - d**2 - 77. Factor o(n).
2*(n - 3)*(n - 1)*(2*n - 1)
Let k = 19 - 17. Let o(w) = 2*w**3 + 14*w**2 + 11*w + 4. Let f(j) = 34*j + 43*j**2 + 0*j**3 + 5*j**3 + 13 + 0*j**3. Let p(z) = k*f(z) - 7*o(z). Factor p(i).
-(i + 2)*(2*i + 1)**2
Let d be ((-5)/2)/(-1)*((-336)/(-260))/21. Let -d*t**5 + 0 + 8/13*t**4 - 10/13*t**3 + 0*t + 4/13*t**2 = 0. What is t?
0, 1, 2
Factor -2/23*p**2 - 4/23 - 6/23*p.
-2*(p + 1)*(p + 2)/23
Let s(d) = -d**2 + d + 1. Let x(g) be the third derivative of g**5/15 + g**4/12 - g**3/3 - 9*g**2. Let t(u) = 4*s(u) + 2*x(u). Let t(v) = 0. What is v?
-2, 0
Let y be 26/48 + (-27)/(-6) + -5. Let a(x) be the third derivative of -1/48*x**4 + 0 + 1/240*x**6 - 1/240*x**5 - 3*x**2 + y*x**3 + 0*x. Factor a(z).
(z - 1)*(z + 1)*(2*z - 1)/4
Let n be (-2 - (-2 + -1))/1 + 1. Factor 0*d**2 + 14*d**4 + 13*d**3 + 4*d**n - 4*d**4 + d**3.
2*d**2*(d + 1)*(5*d + 2)
Suppose -32*v + 38*v = 30. Let n(x) be the second derivative of 0 + 0*x**2 - x - 7/80*x**v - 5/48*x**4 - 1/40*x**6 - 1/24*x**3. Factor n(u).
-u*(u + 1)**2*(3*u + 1)/4
Let d(c) = 7*c**2 + 28*c + 44. Let h(i) = -27*i**2 - 111*i - 177. Let t = 22 + -18. Let n(z) = t*h(z) + 15*d(z). Determine g so that n(g) = 0.
-4
Factor -3/4*j**2 - 1/4*j**3 + 12 + 23/2*j.
-(j - 6)*(j + 1)*(j + 8)/4
Suppose -2*y = -y + h - 7, 4*h - 30 = -5*y. Factor -16 + 7*l**y - l - 11*l**2 + 17*l.
-4*(l - 2)**2
Let k(i) = -9*i**5 + 9*i**3 - 7*i + 7. Let w(f) = f**5 - f**3 + f - 1. Let t(r) = -2*k(r) - 14*w(r). Factor t(b).
4*b**3*(b - 1)*(b + 1)
Let k(g) be the first derivative of g**4/16 - g**3 + 21*g**2/8 - 5*g/2 - 177. Factor k(l).
(l - 10)*(l - 1)**2/4
Let k = 383 + -381. Find p such that 0 + 5/4*p**k - 5/4*p = 0.
0, 1
Let i be 2/(-6) - 5115/90. Let w = i + 129/2. Find l, given that 28/3*l**2 + 4*l**3 + 2 - 2/3*l**5 + w*l - 2/3*l**4 = 0.
-1, 3
Let x(n) be the second derivative of -n**4/60 + 13*n**3/30 - 18*n**2/5 + 926*n. Factor x(c).
-(c - 9)*(c - 4)/5
Let g(l) be the second derivative of l**5/80 - 5*l**4/96 - 3*l**3/16 + 9*l**2/8 + 87*l. Factor g(k).
(k - 3)*(k + 2)*(2*k - 3)/8
Let m be -3 - (454/6)/(6/(-9)). Let v = 115 - m. Solve -1/2*u**2 - v - 3*u = 0.
-3
Let w = -1/7340 - -7343/22020. Factor -1/6*n**5 - 1/6 + w*n**3 + 1/3*n**2 - 1/6*n**4 - 1/6*n.
-(n - 1)**2*(n + 1)**3/6
Let g(v) = v**2 + 5*v - 4. Let k be g(1). Let b(c) be the first derivative of 0*c - c**3 + 3/2*c**4 + 3/5*c**5 - 3*c**k - 1. Let b(u) = 0. What is u?
-2, -1, 0, 1
Let x = -37985/27 + 1407. Let s(r) be the first derivative of x*r**3 - 2/9*r - 1/9*r**2 + 1/9*r**4 + 5 - 1/27*r**6 - 2/45*r**5. Solve s(v) = 0 for v.
-1, 1
Let o(v) = -25*v**2 + 15*v + 13. Let u(l) = 4 - 1 - 4 + 2. Let p(f) = o(f) - 3*u(f). Find r such that p(r) = 0.
-2/5, 1
Let i(l) be the second derivative of l**7/294 + l**6/210 - 6*l**5/35 - 22*l**4/21 - 8*l**3/3 - 24*l**2/7 - 12*l. Factor i(c).
(c - 6)*(c + 1)*(c + 2)**3/7
Suppose 61 = -10*s + 1. Let k be 6/s*3/(-12). Let -k*n**2 + n - 3/4 = 0. What is n?
1, 3
Let l = 19871/42 + -473. Let v(f) be the second derivative of l*f**7 + 5/6*f**3 + 0 - 4*f - 1/3*f**4 + f**2 - 1/2*f**5 + 1/15*f**6. Let v(r) = 0. Calculate r | {
"pile_set_name": "DM Mathematics"
} |
t term in -436, -432, -428, -424, -420, -416?
-412
What comes next: 7, 5, 1, -5, -13, -23, -35?
-49
What comes next: -15, -30, -45, -60, -75, -90?
-105
What is the next term in -3376, -3378, -3380, -3382, -3384, -3386?
-3388
What is next in -46, -126, -258, -466, -774, -1206, -1786?
-2538
What is next in 32, 91, 194, 347, 556?
827
What is next in 803, 805, 807, 809?
811
What is the next term in 12, 1, -70, -231, -512?
-943
What is the next term in -740, -1468, -2196, -2924, -3652, -4380?
-5108
What is the next term in -18, -13, -8, -3, 2, 7?
12
What is next in 5009, 10019, 15029?
20039
What is next in 0, 25, 78, 171, 316, 525?
810
What is next in 53, 62, 83, 122, 185, 278, 407?
578
What is the next term in 5, 38, 97, 194, 341, 550, 833, 1202?
1669
What is the next term in 16, 17, 16, 13, 8, 1?
-8
What is next in -23, -66, -137, -236, -363?
-518
What is next in 583, 589, 609, 649, 715?
813
What is next in 750, 1510, 2268, 3024, 3778?
4530
What is next in -153, -302, -441, -564, -665?
-738
What comes next: -65, -152, -241, -332, -425?
-520
What is the next term in -16, 5, 26, 47, 68?
89
What comes next: -916, -1856, -2812, -3790, -4796, -5836?
-6916
What is the next term in 205, 411, 617, 823?
1029
What is the next term in 1, 4, 11, 22, 37, 56, 79?
106
What is the next term in 2246, 2237, 2214, 2171, 2102?
2001
What is next in -35152, -70304, -105456, -140608, -175760?
-210912
What comes next: 1437, 1476, 1533, 1602, 1677, 1752, 1821, 1878?
1917
What is the next term in -6, -9, -10, -9, -6?
-1
What comes next: 318, 310, 288, 246, 178, 78, -60?
-242
What comes next: -208, -425, -648, -877, -1112, -1353?
-1600
What comes next: 440, 444, 444, 434, 408, 360, 284, 174?
24
What is next in 57, 62, 65, 66, 65?
62
What is next in 405, 407, 409, 411?
413
What is next in -62, -66, -70, -74, -78, -82?
-86
What comes next: 109, 216, 323?
430
What is next in 243, 250, 261, 276, 295?
318
What is next in -63, -104, -131, -138, -119?
-68
What comes next: -37, -44, -51?
-58
What is next in 12, 20, 50, 114, 224, 392, 630, 950?
1364
What comes next: -29, -35, -67, -143, -281, -499?
-815
What is next in -6, -19, -56, -129, -250, -431?
-684
What is next in -529, -1055, -1581, -2107, -2633?
-3159
What comes next: 344, 389, 434, 479?
524
What is the next term in -7, -16, -25, -34, -43, -52?
-61
What comes next: 896, 1810, 2724, 3638, 4552?
5466
What comes next: 26, 82, 180, 326, 526, 786, 1112?
1510
What comes next: -3318, -6636, -9954, -13272, -16590, -19908?
-23226
What is next in 21, 18, 13, 6?
-3
What is next in 282, 261, 238, 213, 186, 157?
126
What is next in 721, 719, 717, 715, 713, 711?
709
What comes next: -93, -166, -239?
-312
What is the next term in 40, 104, 166, 226?
284
What comes next: -1667, -1666, -1665, -1664, -1663?
-1662
What is the next term in 6, -15, -58, -129, -234, -379, -570?
-813
What comes next: -12, 42, 132, 258?
420
What is the next term in 934, 1851, 2768, 3685, 4602?
5519
What is the next term in -940, -897, -822, -709, -552?
-345
What comes next: -378, -756, -1134, -1512, -1890, -2268?
-2646
What is the next term in 20, 47, 84, 131?
188
What comes next: -610, -609, -608, -607?
-606
What comes next: -28, -18, -6, 8, 24, 42, 62?
84
What comes next: 1, -14, -35, -62, -95, -134?
-179
What comes next: -1325, -2650, -3975, -5300?
-6625
What comes next: -190, -161, -104, -13, 118, 295, 524?
811
What is next in 7768, 7767, 7766, 7765?
7764
What comes next: 54, 206, 460, 816, 1274, 1834, 2496?
3260
What is next in -56, -209, -462, -815?
-1268
What is the next term in -27, -56, -87, -120?
-155
What is the next term in 15, 54, 119, 210, 327?
470
What is the next term in -1263, -1262, -1261, -1260?
-1259
What is the next term in -86, -81, -78, -77, -78, -81, -86?
-93
What comes next: 132, 356, 578, 798?
1016
What is next in 0, -55, -110, -165, -220?
-275
What is next in -87, -83, -81, -81, -83?
-87
What comes next: -104, 64, 520, 1408, 2872, 5056?
8104
What is next in -3, 7, 33, 75, 133, 207, 297?
403
What is the next term in -2, -23, -44, -65?
-86
What is the next term in 59, 61, 65, 71, 79, 89?
101
What is the next term in -12, -50, -114, -204, -320, -462?
-630
What is next in 18, 20, 20, 12, -10, -52?
-120
What comes next: -3, 9, 35, 81, 153, 257, 399?
585
What is the next term in 74, 128, 184, 248, 326, 424?
548
What is the next term in -8865, -8885, -8917, -8967, -9041, -9145?
-9285
What is next in 120, 116, 110, 102, 92, 80?
66
What is the next term in -198, -213, -228, -243, -258?
-273
What is next in 262, 525, 792, 1063, 1338, 1617, 1900?
2187
What is the next term in 36, 49, 84, 153, 268, 441, 684?
1009
What is the next term in 8, 9, 10?
11
What is next in -22, -37, -76, -151, -274, -457, -712?
-1051
What is the next term in -456, -457, -458?
-459
What comes next: 34, 60, 100, 160, 246, 364?
520
What comes next: -683, -1370, -2057, -2744, -3431, -4118?
-4805
What is next in -569, -1139, -1705, -2267, -2825?
-3379
What is the next term in -68, -124, -180, -236, -292, -348?
-404
What is the next term in 1476, 1475, 1474, 1473?
1472
What comes next: 80, 39, -4, -49, -96, -145, -196?
-249
What is next in 206, 207, 208, 209?
210
What is next in 34, 59, 82, 103, 122?
139
What comes next: -63, -97, -129, -159?
-187
What is next in 35, 85, 149, 233, 343, 485?
665
What is the next term in -33, -110, -239, -420?
-653
What is the next term in -70, -131, -168, -169, -122, -15, 164?
427
What comes next: 24, 39, 58, 87, 132, 199?
294
What comes next: 26, 58, 94, 134, 178, 226?
278
What is next in -29, -45, -47, -29, 15, 91?
205
What is next in 127, 187, 295, 457, 679, 967, 1327, 1765?
2287
What comes next: 1050, 2103, 3156, 4209, 5262, 6315?
7368
What is next in -44, -96, -148, -200, -252?
-304
What is the next term in -31, -22, -13, -4, 5, 14?
23
What comes next: -1265, -1266, -1267, -1268, -1269?
-1270
What is the next term in 331, 660, 989, 1318?
1647
What is next in 24, 20, 6, -24, -76?
-156
What comes next: -37, -95, -191, -325, -497, -707?
-955
What comes next: 8, 17, 26, 35?
44
What is next in -30, -46, -72, -108, -154, -210, -276?
-352
What is next in 62, 54, 72, 128, 234, 402?
644
What comes next: 140, 474, 1030, 1808, 2808, 4030?
5474
What is the next term in -222, -229, -240, -255?
-274
What is the next term in -4, -47, -160, -379, -740, -1279, -2032?
-3035
What is next in 46, 40, 20, -20, -86, -184?
-320
What is next in -225, -362, -499, -636, -773, -910?
-1047
What is the next term in -38, 65, 170, 277?
386
What is the next term in 27978, 27977, 27976, 27975, 27974, 27973?
27972
What is the next term in -1563, -3121, -4679?
-6237
What is next in 932, 953, 992, 1055, 1148, 1277, 1448?
1667
What comes next: 50, 204, 462, 830, 1314?
1920
What is next in -2594, -2599, -2608, -2621?
-2638
What comes next: 1220, 1217, 1212, 1205, 1196, 1185, 1172?
1157
What is the next term in -244, -226, -208?
-190
What is the next term in 93, 218, 549, 1188, 2237, 3798?
5973
What is next in 8, -13, -48, -97, -160, -237?
-328
What is next in -219, -433, -647, -861, -1075?
-1289
What is the next term in 8, 15, 20, 23, 24?
23
What is the next term in -41, -78, -119, -164, -213?
-266
What comes next: -56, -53, -52, -59, -80, -121?
-188
What comes next: 5, 16, 33, 62, 109, 180, 281?
418
What comes next: 8, 31, 54, 77, 100, 123?
146
What is next in 4899, 4897, 4895, 4893, 4891, 4889?
4887
What is the next term in 7, 52, 123, 220, 343, 492?
667
What is the next term in 385, 610, 847, 1102, 1381, 1690, 2035?
2422
What is next in 4, -8, -20?
-32
What comes next: 17, 45, 121, 269, 513, 877, 1385?
2061
What is next in -196, -391, -586, -781, -976?
-1171
What is next in 546, 540, 528, 510, 486, 456?
420
What is the next term in -32, -136, -314, -572, -916, -1352, -1886, -2524?
-3272
What comes next: 3728, 3706, 3682, 3656, 3628, 3598?
3566
What is the next term in -3561, -3571, -3593, -3633, -3697, -3791, -3921?
-4093
What is next in -39, -56, -83, -120, -167, -224, -291?
-368
What is the next term in 115, 109, 93, 61, 7, -75, -191?
-347
What is the next term in -18, -35, -50, -63, -74, -83?
-90
What is the next term in -9, -5, 3, 15, 31, 51, 75?
103
What is the next term in 1804, 1788, 1760, 1714, 1644?
1544
What comes next: 278, 197, 62, -127, -370?
-667
What is nex | {
"pile_set_name": "DM Mathematics"
} |
/5
What is the fifth biggest value in -3/4, -1/5, -5, 6, -13?
-13
Which is the fifth smallest value? (a) 2/11 (b) -10 (c) 4 (d) 0.5 (e) -3
c
Which is the fourth biggest value? (a) -5 (b) -1/4 (c) 0.1 (d) -7
d
What is the biggest value in 4, -1/2, 10/7, 1?
4
Which is the smallest value? (a) 0.4 (b) -1428 (c) 3
b
What is the second biggest value in 4, -0.1, 0.07?
0.07
Which is the third biggest value? (a) 74 (b) 3 (c) 2/3 (d) 0
c
Which is the third biggest value? (a) -2 (b) 6 (c) -0.037
a
Which is the biggest value? (a) 65 (b) -1 (c) 1
a
Which is the second smallest value? (a) -0.2561 (b) -1/3 (c) -1 (d) 0.4
b
What is the second smallest value in -3, -0.41, 0.4?
-0.41
Which is the third biggest value? (a) -19 (b) -4 (c) -3 (d) -2
b
Which is the third biggest value? (a) -50 (b) -28 (c) 0
a
Which is the third smallest value? (a) 1/9 (b) 5/2 (c) -0.2 (d) -3 (e) 0.4
a
What is the smallest value in -0.1, -8, 7.4?
-8
What is the third biggest value in 11, 5, -17?
-17
What is the second biggest value in -4, 0.01, -73?
-4
Which is the biggest value? (a) 2/11 (b) -2 (c) 0.2 (d) -0.4
c
Which is the second smallest value? (a) 2.9 (b) 1 (c) 3
a
Which is the second biggest value? (a) 146 (b) -15 (c) 3
c
What is the second biggest value in 18, 5, 0.4?
5
What is the smallest value in -5, 0.0287, -0.3?
-5
What is the third biggest value in -5, -0.29, 0.2?
-5
What is the third smallest value in 4/5, 0.5, -2327?
4/5
What is the biggest value in 3, 15, 0.2, -10?
15
What is the third smallest value in -0.5, -1.307, 0.3, -3, -0.3?
-0.5
Which is the smallest value? (a) -1/12 (b) 1.7 (c) -0.4
c
What is the fourth biggest value in -11/3, -2, 1/61, 3?
-11/3
What is the third biggest value in 0.1, 4, -3/4?
-3/4
What is the smallest value in -0.2, 2/5, -10, 0.1, -5?
-10
What is the smallest value in 0.8, 2/3, -349/2?
-349/2
What is the second biggest value in -4, 287, -1/2?
-1/2
What is the smallest value in -0.2, -32, 118?
-32
Which is the smallest value? (a) 1/7 (b) 1 (c) 0.01 (d) -2/13 (e) -19
e
What is the second smallest value in 2/33, -2, -4?
-2
What is the second biggest value in -6, -1/3, 4, 5?
4
Which is the smallest value? (a) 2/3 (b) -43 (c) -1/5
b
What is the biggest value in -5, 1/17, 17?
17
What is the third biggest value in 365, -0.1, -3/4?
-3/4
What is the third biggest value in -1, -2/7, -12, -0.4?
-1
What is the smallest value in -1, -5, 2/39, 1.2?
-5
Which is the third biggest value? (a) 30 (b) 0.4 (c) -2.9 (d) 2/7
d
What is the fourth smallest value in -5, -3/8, 10/21, 10/7?
10/7
Which is the third smallest value? (a) -2 (b) 1586 (c) -5
b
What is the biggest value in -1/5, 1/132, -0.01?
1/132
What is the third smallest value in -3/7, -2/5, 1.7?
1.7
Which is the biggest value? (a) -5 (b) 5 (c) -0.1 (d) -4/7 (e) -4/35
b
Which is the second smallest value? (a) 1/5 (b) -0.1 (c) -2
b
What is the third biggest value in 0.4, 0, -209, 0.3?
0
What is the fourth smallest value in -1/12, -1, 3, -0.09, 0.4?
0.4
Which is the second smallest value? (a) 4/13 (b) 1/5 (c) -1/8 (d) 5
b
What is the fourth biggest value in -1, -19, -5, 3/2?
-19
What is the third smallest value in 27, -1, 22, 0.1, 4?
4
What is the third smallest value in 2, 0, 461/6, -0.1?
2
What is the biggest value in 0.3, -0.3, 0.1, -48?
0.3
What is the fifth biggest value in 1/3, -0.3, -0.1, 0.3, 28?
-0.3
Which is the second smallest value? (a) -3/1849 (b) 0.2 (c) 5
b
What is the biggest value in 2, -3/11, 4, 2/9?
4
Which is the fourth biggest value? (a) -2/3 (b) -0.2 (c) 0.2 (d) -6
d
Which is the third smallest value? (a) 5 (b) -2/39 (c) -10
a
Which is the third biggest value? (a) 1 (b) 12 (c) -1 (d) 5.5
a
What is the biggest value in -1/3, -5, 0.7, -0.1, -7?
0.7
What is the fifth biggest value in 7, -4, 3, -2, -1/4?
-4
What is the third biggest value in 1726, 1/6, -5, 2, -4?
1/6
What is the second biggest value in -4, -242, 1, -5?
-4
Which is the fourth biggest value? (a) -4 (b) -3 (c) 2/15 (d) -0.01
a
What is the second smallest value in -2/19, -0.5, 1/12, -0.06?
-2/19
Which is the smallest value? (a) -1 (b) -6 (c) 0.7
b
Which is the fourth biggest value? (a) 10 (b) 5 (c) -7 (d) -5 (e) -0.3
d
What is the biggest value in -0.1, -3, 14, -0.02, -0.3?
14
Which is the fifth biggest value? (a) -2 (b) -0.2 (c) -0.3 (d) 2 (e) -0.7
a
What is the second smallest value in 0.8, -3, 15, 1?
0.8
What is the smallest value in 0.21, -2/11, 6, -6/13?
-6/13
What is the third smallest value in 2/7, -0.6, 2/9, -2/23?
2/9
What is the third smallest value in -712, -1/4, 0.3?
0.3
Which is the smallest value? (a) 3 (b) -7 (c) -14
c
What is the third smallest value in -0.1, 0.2, -1/3, -7?
-0.1
Which is the third smallest value? (a) 42/29 (b) -5 (c) -1
a
Which is the biggest value? (a) -2 (b) -1/2 (c) -7 (d) 3 (e) 5
e
What is the biggest value in -4, -3, -304?
-3
Which is the fourth biggest value? (a) 4/9 (b) 4 (c) 2 (d) 2/15 (e) 5
a
What is the second biggest value in -297, 2, -3/4, -3, -1?
-3/4
What is the smallest value in 0.002, 3, -0.1, 17, -0.5?
-0.5
Which is the biggest value? (a) -1/7 (b) 6 (c) 3
b
What is the smallest value in 0, 1.7, -3/2?
-3/2
What is the biggest value in -3, -2/33, -1/4, 2?
2
Which is the fourth biggest value? (a) 2/9 (b) -26/11 (c) -5 (d) 0.4 (e) 1/4
b
Which is the smallest value? (a) -34/3 (b) -2 (c) 6
a
Which is the second biggest value? (a) -3 (b) 1 (c) -5 (d) 6.6
b
Which is the fourth smallest value? (a) 0.5 (b) 0.6 (c) -10 (d) -0.06 (e) 2
b
What is the smallest value in 1, 2, -59?
-59
What is the second smallest value in 3/4, -615, 2?
3/4
What is the second biggest value in 9, 0.5, -0.06, 1/8?
0.5
Which is the biggest value? (a) -4/7 (b) -29 (c) -2
a
Which is the fourth smallest value? (a) 0 (b) -6/29 (c) 0.4 (d) -4
c
What is the biggest value in 4, 0.8237, -1?
4
Which is the smallest value? (a) 0.02 (b) -2 (c) -1/5 (d) 4
b
What is the third biggest value in -40, -38, 1, -2?
-38
What is the biggest value in 0.492, 5, -13?
5
What is the fourth biggest value in -3, 2/11, -0.1, 1.4?
-3
What is the second smallest value in -0.3, -0.4, 237?
-0.3
Which is the fourth smallest value? (a) -12 (b) -6/5 (c) -0.5 (d) 0.4 (e) 2/11
e
Which is the third smallest value? (a) -0.72 (b) 1.1 (c) -3
b
Which is the smallest value? (a) 0.4 (b) 4 (c) 2/15 (d) 10 (e) 3/17
c
Which is the fourth smallest value? (a) 2/17 (b) -5 (c) 4 (d) -20
c
What is the smallest value in -2/21, -3/5, -10?
-10
Which is the third biggest value? (a) 1/5 (b) -9 (c) -137
c
What is the second biggest value in 4, 0.5, -0.28, 6, -0.3?
4
What is the second biggest value in -1, -1/22, 2/5?
-1/22
What is the second smallest value in -3/4, -5, -68, -1/3?
-5
What is the second smallest value in -2/11, 40, -0.4?
-2/11
What is the second biggest value in -1, -0.109, -2, -2/9?
-2/9
Which is the third smallest value? (a) 0.3 (b) -16 (c) 7/10
c
What is the third biggest value in 2, -3, -4, 37/2?
-3
Which is the third biggest value? (a) -1/3 (b) 0.5 (c) -1/39
a
What is the fourth smallest value in 2, -0.51, -5, -4?
2
Which is the second biggest value? (a) 8 (b) -3 (c) 2/37
c
Which is the biggest value? (a) -1/5 (b) 13/4 (c) -6 (d) 3
b
Which is the fifth smallest value? (a) 5 (b) 0 (c) -4/7 (d) 4/3 (e) -50
a
Which is the biggest value? (a) 3 (b) -0.21 (c) -4
a
What is the fourth smallest value in 5, 0.5, -0.03, -5/7?
5
Which is the second smallest value? (a) 0.1 (b) 3/2 (c) -2/3 (d) -2/31
d
Which is the fourth smallest value? (a) 0.3 (b) -2 (c) 18.8 (d) -0.4
c
Which is the second biggest value? (a) -196 (b) -0.06 (c) 2
b
What is the third biggest value in -0.93, -1/31, -0.1?
-0.93
What is the third biggest value in 0.2, 2, -14, 4, 2/27?
0.2
Which is the third smallest value? (a) -0.022 (b) -2 (c) 2 (d) -0.3
a
Which is the second smallest value? (a) 2/3 (b) -15 (c) -1/14
c
Which is the second biggest value? (a) 0.2 (b) 5 (c) -1/3 (d) 11
b
Which is the third biggest value? (a) 3 (b) 2 (c) -277 (d) 1 (e) 0.3
d
Which is the smallest value? (a) 1.9 (b) 3/7 (c) -1/9
c
Which is the second biggest value? (a) -20 (b) -0.02 (c) 0
b
| {
"pile_set_name": "DM Mathematics"
} |
5/(-50) is divided by 183?
26
Let q = 217 - 118. Let h = 139 - q. Let p = -14 + h. What is the remainder when 76 is divided by p?
24
Let u = 11271 - 11196. What is the remainder when 504 is divided by u?
54
Let j = 589 + -582. Suppose 256 = -0*m + 4*m. Calculate the remainder when m is divided by 13 + (7 - j)/2.
12
Let m be ((-266)/126)/(-19) + (-70)/(-18). Suppose -3*g = -8 - 58. What is the remainder when -42*(-5 + m) - 0 is divided by g?
20
Let p be 24/5 + (33/15 - 2). Let n(d) = -d**3 - 9*d**2 + 22*d + 6. What is the remainder when 5/(4*p/60) is divided by n(-11)?
3
Let d = -18869 - -22810. Calculate the remainder when d is divided by 15.
11
Let h = -5269 + 5298. What is the remainder when 4349 is divided by h?
28
Suppose -6301 = d - 6305. Let f = 3 + 3. What is the remainder when f is divided by d?
2
Calculate the remainder when 1647/(-12)*-94*(-14)/(-21) is divided by 46.
45
Let r = 3924 - 2978. What is the remainder when r is divided by 19?
15
Let v be 2 + (-5706)/(-48) + 1/8. Let x = v - 93. Calculate the remainder when 184 is divided by x.
16
Let w(f) be the first derivative of -f**3/3 - 6*f**2 - 9*f + 26. Suppose 3*g + 36 - 9 = 0. Calculate the remainder when 33 is divided by w(g).
15
Suppose 22*l = 33*l - 5104. Suppose 4*y - 4*h - l = 0, 4*y + 6*h = 5*h + 464. Calculate the remainder when y is divided by 17.
14
Suppose 0 = k + 2, -3*m = -m + 5*k + 2. Suppose -559 = 17*g - 1783. Let u = g - 69. What is the remainder when m is divided by u?
1
Let g be 25/(2100/(-24)) - (-214)/14. Suppose g*x - 812 = 718. Let f(u) = -u**3 - 5*u**2 - 5*u + 1. What is the remainder when x is divided by f(-5)?
24
Let y(j) be the first derivative of 3*j**3 + 7*j**2/2 + 4*j - 35. What is the remainder when y(-3) is divided by 23?
18
Suppose -4*h + 2*p - 56 = 0, 4*h + 3*p - 9 = 5*h. Let q = h + 26. Suppose 102*a - 96*a - 126 = 0. Calculate the remainder when a is divided by q.
10
Let w be ((-13930)/(-35))/((-2)/4). Let k = w - -1199. What is the remainder when k is divided by 68?
63
Let v be (-56)/140 - 122/(-5). Suppose -27*m = -v*m. Suppose 8*x = -m*x + 424. Calculate the remainder when x is divided by 18.
17
Let n be (-706)/(-4) - (-39)/26. Suppose 5*z = 12 + n. What is the remainder when 74 is divided by z?
36
What is the remainder when 647 is divided by 7/(91*(-7)/(-1638))?
17
Suppose -3*s + 41 = 3*x + 5, x = 27*s - 268. Suppose -2*n + 2 = 4*a, 2*a - 3*a + 5 = -4*n. What is the remainder when x is divided by a?
0
Suppose 36*v - 130801 = 27815. What is the remainder when v is divided by 90?
86
Suppose 3*g - 5*a + 253 = 0, 4*a = -3*g + 8*g + 413. Let c = -4 - g. What is the remainder when c is divided by 2/8 + 159/4?
37
Suppose 2*l - 2*v - v = 1937, -1967 = -2*l - 3*v. Calculate the remainder when l is divided by 14.
10
Let x(k) = -k**2 + 11*k - 22. Let w be x(8). Suppose -366 = -5*g + w*u, 5*u + 154 = 5*g - 221. What is the remainder when 213 is divided by g?
69
Let r = -19375 + 22292. Calculate the remainder when r is divided by 21.
19
Let t(z) = 425*z - 4120. Calculate the remainder when 3246 is divided by t(10).
126
Suppose -153*f - 12472 = -160*f + 6036. What is the remainder when f is divided by 1317?
10
Let o be (1 - 0)/((-161)/(-27) + -6). Let n = o + 32. Suppose -29 = -4*i + c, 4*i - 49 = -0*c + n*c. What is the remainder when 14 is divided by i?
2
Let s(n) = -10*n**3 + 3*n**2 + 10*n + 8. What is the remainder when 350 is divided by s(-1)?
9
Suppose 4*b = -5*p + 490, 0 = -p + 2*b + 87 + 11. What is the remainder when 2154 is divided by p?
96
Suppose -94 = -12*b - 10. Suppose -24*p - b = -511. What is the remainder when 94 is divided by p?
10
Let p = 483 + -469. Suppose 528 = p*d - 3*d. Calculate the remainder when 283 is divided by d.
43
Let h = -192303 - -192326. Let s = 603 - 291. Calculate the remainder when s is divided by h.
13
Suppose -3*r + 36 = -159. Suppose 9*h - r - 16 = 0. What is the remainder when 19 is divided by h?
1
Suppose 0 = -n + 7*j + 521, 4*n - 5*j - 592 - 1630 = 0. What is the remainder when n is divided by 139?
7
Suppose 37 + 63 = 5*k. Suppose 50 = 7*v - k. Suppose 6*c = v*c - 388. What is the remainder when c is divided by 20?
17
Let a(j) = -2*j**2 + 19*j + 12. Let x(i) = 2*i**3 + 23*i**2 - 12*i + 9. Let g be x(-12). Calculate the remainder when 271 is divided by a(g).
19
Suppose -5*w - 3*t + 4*t = -13, -w + 3*t + 11 = 0. Suppose 0 = w*k - 2*c - 86, -3*k - 3*c + 81 = -42. Calculate the remainder when k is divided by 27.
15
Suppose -2*o + 0*o = -20. Suppose -2*v = -7*v + o. What is the remainder when v is divided by ((-90)/(-135))/(-2 - (-24)/9)?
0
Let h be 1*(-1 - (-5 - 1)). Suppose 4*c - 351 = 5*s + 19, h*s = -5*c + 440. What is the remainder when c is divided by 7?
6
Let m = -686 + 736. Calculate the remainder when 53 is divided by m.
3
Let a = 20 - 10. Let n = -8 + a. Suppose k - 8 = n. Calculate the remainder when k is divided by 6.
4
Let d(s) = -29*s + 17*s**2 - 30 + 2*s - 1 - s**3. What is the remainder when 35 is divided by d(15)?
7
Let f = -6926 - -6969. Let h = 242 + -115. What is the remainder when h is divided by f?
41
Suppose -9*m = -2*v - 8*m + 988, -v - 2*m = -499. What is the remainder when v is divided by 463?
32
Suppose -11*p + 326 + 4 = 0. Suppose 5*c = 0, 2*c = 4*v + c - 40. Let r = v - -79. Calculate the remainder when r is divided by p.
29
Suppose 0*j - j + 14 = 0. Suppose 6*s = 5*s + j. What is the remainder when (-211)/(-8) + ((-77)/56 - -1) is divided by s?
12
Let l(z) = -5*z + 23. Let u be l(4). Suppose 0 = -4*o + u*a - 12, -o - 3*a = 2*o - 12. Let b(t) = -7*t + 6. Calculate the remainder when 17 is divided by b(o).
5
Suppose 89890 + 73370 = 907*m. Suppose -26 = -2*t + k + 2, -3*t + 29 = 5*k. Calculate the remainder when m is divided by t.
11
Suppose g - 14 = -0*g. Let v(s) = 11*s + 1. Let p be v(5). Suppose -57*z = -p*z - 54. Calculate the remainder when z is divided by g.
12
Let l(o) = 5*o - 27. Let c(v) = -3*v + 18. Let w(m) = 8*c(m) + 5*l(m). Let k be w(-5). What is the remainder when (k + 1 + -4)*17 is divided by 4?
1
Suppose c + 5*g = 72, -2*c + 3*g + 38 = -41. Suppose -49*r + 16 = -c*r. Calculate the remainder when r is divided by 3.
2
Suppose 2*k - 5*k = -120. Suppose 5*u + 5*n - 80 = 0, -u - 11 = -4*n - 2. Calculate the remainder when k is divided by u.
7
Let d(w) = -94*w - 2522. What is the remainder when d(-28) is divided by 49?
12
What is the remainder when (118 + -1)*46/(-3726)*-9 is divided by 21*(1 + -2)/(-3)?
6
Suppose -1390 + 1300 = -3*b. Calculate the remainder when 537 is divided by b.
27
Calculate the remainder when (-42)/56 + (-4245)/(-12) is divided by 98.
59
Suppose 13*w = 889 - 499. What is the remainder when 8459 is divided by w?
29
Let w = -339 + 368. What is the remainder when 2953 is divided by w?
24
Suppose x + j = 3448, 7736 = 5*x + j - 9472. What is the remainder when x is divided by 685?
15
Let v = -14 - -18. Suppose v*x - 271 = -4*y + 49, 0 = 2*y - 2*x - 144. What is the remainder when y is divided by 13?
11
Let y = 7587 - 7459. Calculate the remainder when 149 is divided by y.
21
Suppose -41*a - 5*x + 280 = -40*a, 0 = -4*a - 4*x + 1040. What is the remainder when a is divided by 88?
79
Suppose 306 - 871 - 263 = -9*n. What is the remainder when 257 is divided by n?
73
Let y = 181 + -118. What is the remainder when y is divided by ((-5644)/1162)/((-8)/28)?
12
Suppose 1245*w = 1267*w - 1562. What is the remainder when w is divided by 27?
17
Let u = -3 - -22. Suppose -u*f - 1332 = -31*f. What is the remainder when 215 is divided by f?
104
Let o(n) = 287*n - 2005. Calculate the remainder when 790 is divided by o(7).
2
Suppose 6*x = 7*x - 4. Suppose -5 = -3*a - a - 3*v, -2*a = -x*v - 30. Suppose c - a = 6. Calculate the remainder when 17 is divided by c.
6
Suppose 14 = -11*a - 52. Calculate the remainder when -6*4/a - -138 is divided by 12.
10
Let r(v) = -105*v - 814. What is the remainder when 191 is divided by r(-9)?
60
Suppose 7*q - 3811 - 1710 = 8521. What is the remainder when q is divided by 400?
6
Let j be 1164/6 - (-3)/1. Suppose 25 = -i + j. Calculate the remainder when i is divided by 58.
56
Suppose -n + 5*n = 232. Suppose 49270 = 1315*p - 91435. What is the remainder when p is divided by n?
49
Suppose 4*v + 197*m = 196*m + 81, v + 6 = 5*m. Calculate the r | {
"pile_set_name": "DM Mathematics"
} |
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