 -33 - 2*g**3 + 4*g**3 + 9 - 3*g**3 in the form u*g**3 + h*g**2 + o*g + j and give u.
-1
Express -2*f**2 - f - 2 + f**2 - f + (3*f - 3*f + f)*(-f - 1 + 1) - 23*f**2 - 6*f**2 - 12*f**2 as j + b*f**2 + x*f and give b.
-43
Express (-4*p + 5*p - 8*p)*(-5 + 3 - 13) - 3*p + 2*p + 2*p + (-3 + 4 - 2)*(0 + 0 + 2*p) as t*p + n and give t.
104
Rearrange -3*c - 7*c - c - 7*c to the form q*c + v and give q.
-18
Express 25*n + 47 - 27 - 20 as w + z*n and give z.
25
Express (0*w - 5*w + 4*w)*(10*w - 4*w - 5*w + 3*w**2 + 4) as k + u*w**3 + i*w**2 + b*w and give b.
-4
Express (3 + 0 + 0)*(4*p**2 - 16*p**2 - 20*p**2) as f*p**2 + v*p + c and give f.
-96
Rearrange (-2 + 0 + 4)*(-3 + 4 - 3)*(39 - 11 + 27)*(2*s**2 - 6*s**2 + 2*s**2) to q*s + y + l*s**2 and give l.
440
Express 0*x**3 + 12*x**3 + x**2 - 2*x**2 - 15*x**3 - 1 in the form a + s*x + g*x**2 + o*x**3 and give g.
-1
Rearrange 24 - 24 + 36*x to the form m + c*x and give c.
36
Express -51*b - 12*b**2 - 6*b**2 + 17*b**2 as w*b**2 + h*b + c and give w.
-1
Rearrange 9*q**2 - 21*q**2 - 2*q**2 to the form m + b*q**2 + c*q and give b.
-14
Rearrange (-1 + 1 - 2*c)*(2*c**2 - c**2 + 0*c**2) + c - 2*c**3 - c + (0*c**3 + 6*c**3 + 13*c**3)*(3 + 2 - 6) to q*c**3 + j + f*c**2 + n*c and give q.
-23
Rearrange -770 + 2*r + 31*r**2 + 770 to the form n*r**2 + o + t*r and give n.
31
Express (-3*i**2 - 50*i**3 + 22*i**3 + 26*i**3)*(-2*i - 1 + 1) in the form t + x*i**4 + h*i**2 + w*i**3 + g*i and give x.
4
Rearrange -2*h + h + 0*h + ((1 + 0 + 10)*(-3 + 3 + 3*h) + 2*h + 0*h + 4*h)*(1 + 3 - 2) to z*h + o and give z.
77
Rearrange 1 + 10*g - 23*g - 1 to the form t + b*g and give b.
-13
Express -8 + 4 + 5 - 10*s - 2 as f*s + d and give d.
-1
Express m**3 + 0*m**4 - 8*m**4 + 4*m - 2*m**2 + 7*m**4 as u*m**3 + x*m + f + b*m**4 + r*m**2 and give x.
4
Rearrange -k**2 + 68*k + 0*k**2 + 6*k**4 - 69*k - 1 to the form q*k + n*k**2 + h*k**4 + x*k**3 + g and give h.
6
Express -5*z - 3*z - 5*z + 16*z in the form g + q*z and give q.
3
Rearrange -2*g**2 + 3*g**2 - g**2 - 2*g**2 to the form n*g**2 + b + s*g and give n.
-2
Express (112*t + 99*t + 181*t + 314*t)*(-2 + 0 + 4) in the form p*t + w and give p.
1412
Express -5 + 3 + 100*k**2 + 4 - 97*k**2 as c*k + g + q*k**2 and give g.
2
Express 38*k - 2 - 38*k - 22*k**3 as s + j*k**2 + r*k + f*k**3 and give f.
-22
Rearrange p**3 - 33 + p**3 + 29 to the form c*p + b*p**3 + y*p**2 + t and give b.
2
Express 0*m**3 - m**2 + 4 - m**2 - 5*m**3 + 4*m**3 as u + o*m + r*m**3 + t*m**2 and give t.
-2
Express -2*g**4 + g**3 - 1 + 0*g**2 - g + 6 + 2*g**2 as w*g**4 + r + b*g + u*g**2 + x*g**3 and give r.
5
Rearrange (3 - 6 + 2)*(0 + 2 + 0)*(-20*f - 19*f + 8*f) to the form t + m*f and give m.
62
Rearrange -213 - q**4 - 3*q**2 + 4*q**2 + 13*q + 211 - 3*q**3 to f*q + m*q**2 + o + c*q**3 + g*q**4 and give c.
-3
Express (5*o**3 - 11*o**3 - 2*o**3)*(-17 + 17 + 7*o) as i*o**2 + k*o**3 + y*o**4 + h*o + u and give y.
-56
Rearrange 34*c**2 + 334*c - 334*c + 1 to k + x*c**2 + z*c and give k.
1
Rearrange (-h - 2*h + h)*(-1 + 2 + 2) - h - 6*h + 11 - h to r*h + k and give r.
-14
Rearrange w**2 + w - w + (-8*w - w - w)*(-2*w + 5*w - 2*w) to t + h*w + o*w**2 and give h.
0
Express (-q + 0*q + 4*q)*(1 - 2 + 2)*(4 - 6 + 3)*(2 + 2 - 5) in the form h + o*q and give o.
-3
Rearrange r + r**3 + 2*r**4 - 3*r**3 - 113*r**2 + 115*r**2 to the form o*r**2 + f*r**4 + v*r + w + u*r**3 and give f.
2
Rearrange -2*z - 5 + 2*z + 3 + 4*z to n + l*z and give n.
-2
Express ((4*g + 0*g - g)*(1 - g - 1) + (2*g + 2*g - 5*g)*(-4*g + 2*g + 4*g))*(3*g - g - 3*g) as i*g**2 + s*g + a*g**3 + l and give i.
0
Express -1 + z + z**2 - 6*z**2 - 4*z as w*z**2 + s*z + i and give s.
-3
Rearrange b**3 - 5*b**3 + b**2 + 0*b**3 - 2*b - 2*b**3 to the form q*b + h*b**3 + k + p*b**2 and give h.
-6
Express (0 - 4 + 1)*(4 - 2 - 1)*(-2*v + 3*v - 2*v) as l*v + a and give l.
3
Rearrange -4*t - 38 + 75 - 36 to b*t + f and give b.
-4
Rearrange (5*o - o - 2*o)*(-o + o + 2*o) - 8*o - 10*o**2 + 8*o + 2*o**2 + o**2 - 2*o**2 to the form d + q*o**2 + b*o and give d.
0
Express (0*b + 0*b + 2*b)*(-4 + 4 - 5*b + (2 - 5 + 1)*(-2*b - 2*b + 6*b) - 2 - 2*b + 2) as f*b**2 + l*b + j and give f.
-22
Express -2 - 2 - 2*a + 8 in the form s*a + n and give n.
4
Express -12 + 33*d - 3 + 15 in the form t*d + m and give t.
33
Rearrange (-20*t + 50*t**2 + 20*t)*(-t - 2*t + t) to the form z*t**2 + q + s*t + m*t**3 and give m.
-100
Rearrange 0*v**2 + 0*v**2 + 437 + 10*v + 4*v**3 - 435 to the form o*v + f + j*v**2 + x*v**3 and give f.
2
Rearrange t**3 - 2*t**3 - t**2 - t**2 to the form x*t + c + n*t**2 + g*t**3 and give n.
-2
Express 2*m - 3*m - 17 + 3*m + 3 in the form z*m + r and give z.
2
Rearrange 3*m**2 + 2*m + 616 + 0*m - 619 to k + t*m + z*m**2 and give t.
2
Express -3*b**4 - b**4 + 50*b**4 + (0 - b**2 + 2*b + 0)*(0*b**2 + 5*b**2 - 3*b**2) as a*b + h*b**4 + p*b**3 + g*b**2 + x and give h.
44
Express 75*l**2 + 44*l**2 - 57*l**2 as a + v*l + t*l**2 and give a.
0
Rearrange (-4 + z + 4)*(-1 + 2*z**2 + 1) - 6 + 5*z**3 + 6 to the form h + k*z**2 + x*z**3 + u*z and give x.
7
Express (-2*c + 4*c - 3*c)*(7*c - 9*c - 7*c) + 0*c**2 - 2*c**2 - c**2 as l + t*c + h*c**2 and give h.
6
Express 15 + 14*l + l**2 - 14 + 2*l**3 + l**2 - l**2 as o*l**3 + j + m*l**2 + c*l and give j.
1
Rearrange (-2 + 0 + 3)*(-o - 3*o + 2*o) + (-2 + 0 + 1)*(-3*o + 4*o + 0*o) to the form a + p*o and give p.
-3
Express 0*r**2 - 5*r**2 + 2*r**2 + 2*r**2 + 16*r in the form p*r + q + h*r**2 and give p.
16
Express (-4*p + 17*p - 6*p)*(-p - 2 + 2*p + 4)*(-p**2 - 3 + 3) in the form k*p**4 + q + w*p**3 + t*p + f*p**2 and give w.
-14
Express 64*a - 63*a - a**2 + 0*a**2 in the form i*a**2 + c*a + m and give i.
-1
Rearrange -p**2 - 3*p + 9*p**2 - 2*p**2 + p**2 to the form y*p**2 + b*p + o and give y.
7
Express (-26*m - 16*m - 9*m)*(0 - m + 0) as o + h*m + p*m**2 and give p.
51
Express (4*a + 11 - 11 + (3*a + 0*a - a)*(-3 - 3 + 5) - a + 2*a + 0*a)*(-4*a - 2*a + 5*a) as k*a**2 + o + w*a and give k.
-3
Rearrange (-2*q**2 + 8*q**2 + 0*q**2)*(16*q**2 - 279*q + 279*q) to d + u*q**2 + l*q**3 + r*q**4 + a*q and give r.
96
Express n**3 - 11*n + 37*n - 18*n - 10*n - 2 + 5*n**2 as r*n**3 + f*n + o*n**2 + g and give o.
5
Express 2 - t - t**2 + 19 - 9 as n + m*t**2 + z*t and give z.
-1
Express 14*q - 6*q + 11*q as m*q + i and give m.
19
Rearrange (7 - 3 - 11*h + 12*h)*(-4*h**2 - 3*h + 5*h**2 + 5*h) to the form m*h**3 + z*h + u*h**2 + v and give z.
8
Express (-4 + 2 + 0)*(-1 + 1 - 2*c - 4*c - 2*c + 7*c - 5*c + 3*c + 0*c + (-2*c - 4 + 4)*(-2 + 3 - 3) + 3*c + 3 - 3) in the form j + d*c and give j.
0
Express -5*k + 62*k**2 - 61*k**2 + 4*k - k**3 as n*k**2 + c*k**3 + q*k + o and give n.
1
Express 25*j**3 + 2*j**3 + 0*j + 2*j**2 + 0*j as s*j**3 + c + v*j + q*j**2 and give s.
27
Express 46*v**2 + 60*v**2 - 13*v**2 as t + g*v + c*v**2 and give c.
93
Rearrange (-t - 4*t + 2*t)*(9*t**2 - 23*t**2 - 31*t**2) to x + s*t + v*t**2 + q*t**3 and give q.
135
Rearrange (x**4 - 3*x**4 + 0*x**4)*(-1 - 3 + 0) to the form g*x**4 + z + d*x**3 + m*x + k*x**2 and give g.
8
Express (-v - v**2 + 2*v + 0*v**2)*(2 + 2 - 3)*(2*v**2 + 3*v - 3*v) as f*v**3 + s + c*v**4 + y*v**2 + d*v and give c.
-2
Express -14*j - 1 - 8*j + 27*j - 3*j**3 in the form c*j**3 + p + r*j + y*j**2 and give r.
5
Express -7*w - 126 + 3*w + 124 in the form o*w + s and give o.
-4
Rearrange -16*u - u - 498 + 498 to the form f*u + m and give f.
-17
Rearrange 8*d**2 + 4*d**2 + 18*d**2 - d**2 + d**2 - d**2 + (5 - 3 + 0)*(-5*d**2 - d**2 + 4*d**2) + 10*d**2 + 5 - 5 to b*d**2 + l*d + f and give b.
35
Rearrange 96 - 96 - 2*k to the form d + b*k and give b.
-2
Rearrange 3 - o**4 - 11*o**3 + 20*o**3 - 11*o**3 - 2*o to c + p*o**3 + n*o + b*o**2 + x*o**4 and give x.
-1
Express 9 - 1 + 8*y**3 - 9*y**3 + 2*y**2 - 1 as b + a*y**3 + o*y**2 + q*y and give o.
2
Express -2*p - 10 - 16*p**3 + 23*p**3 + 3*p**2 + 10 as x + c*p + i*p**3 + w*p**2 and give i.
7
Rearrange (0*u**2 - 2*u**2 + 4*u**2)*(-4*u - u + 2*u)*(1 - 1 + 11) to k*u**2 + z*u + o*u**3 + s and give o.
-66
Rearrange 3 - 5 - 1 - p + 3*p to d + q*p and give d.
-3
Rearrange -15*l**3 - 2*l**4 + 0 + 13*l**3 + 2 + 3*l**2 to r*l**2 + c*l**3 + b*l + k*l**4 + o and give o.
2
Rearrange -5*u**3 + 2*u**3 + 13*u + 0*u**2 + 2*u**2 - 11*u to m*u + i*u**3 + s*u**2 + d and give m.
2
Rearrange -146*


1, o: 3}?
0
Calculate prob of sequence swpp when four letters picked without replacement from {w: 6, s: 1, p: 12}.
11/1292
Calculate prob of sequence icic when four letters picked without replacement from {c: 6, i: 10, e: 1}.
45/952
What is prob of sequence fp when two letters picked without replacement from {f: 2, a: 2, x: 6, v: 4, p: 3}?
3/136
Two letters picked without replacement from {y: 2, i: 1, d: 2, a: 1, o: 1, s: 1}. What is prob of sequence yi?
1/28
Four letters picked without replacement from kwwwddwdkwwwwkkw. Give prob of sequence dkdw.
9/1820
Two letters picked without replacement from {b: 1, m: 2, v: 1, n: 1}. Give prob of sequence mn.
1/10
Calculate prob of sequence ffff when four letters picked without replacement from qbbbfbqfbbfbfbqbbfq.
5/3876
Three letters picked without replacement from {x: 10, d: 4, l: 3, b: 2}. What is prob of sequence xxl?
15/323
Four letters picked without replacement from wwwwww. Give prob of sequence wwww.
1
What is prob of sequence wvkw when four letters picked without replacement from {b: 1, g: 3, k: 3, w: 2, n: 1, v: 2}?
1/990
What is prob of sequence waw when three letters picked without replacement from gagww?
1/30
Four letters picked without replacement from {q: 11, p: 5}. Give prob of sequence pppq.
11/728
What is prob of sequence ayw when three letters picked without replacement from {a: 4, w: 2, v: 6, y: 3, d: 1, b: 4}?
1/285
Calculate prob of sequence zvv when three letters picked without replacement from vaavzzzzzaazzzazaazz.
11/3420
What is prob of sequence tt when two letters picked without replacement from ttjtjtjtjt?
1/3
Two letters picked without replacement from oggsgglllsslogs. Give prob of sequence lo.
4/105
Two letters picked without replacement from {h: 2, i: 3, g: 2, x: 3, c: 4, d: 1}. What is prob of sequence xx?
1/35
Calculate prob of sequence gf when two letters picked without replacement from gfyffffff.
7/72
What is prob of sequence pte when three letters picked without replacement from qtpeq?
1/60
What is prob of sequence hq when two letters picked without replacement from {q: 2, r: 1, x: 1, n: 1, h: 2}?
2/21
Calculate prob of sequence bah when three letters picked without replacement from abvvahu.
1/105
Calculate prob of sequence er when two letters picked without replacement from nynrnaeynrty.
1/66
Four letters picked without replacement from wwwwwswwwwssws. Give prob of sequence wwss.
45/1001
Calculate prob of sequence ppff when four letters picked without replacement from ppwfpwfwwfffff.
3/286
Four letters picked without replacement from {p: 6, a: 4}. What is prob of sequence apap?
1/14
What is prob of sequence ff when two letters picked without replacement from {j: 3, f: 15}?
35/51
What is prob of sequence rdtr when four letters picked without replacement from tatdtttraraatra?
1/910
Four letters picked without replacement from bbslbbssbbrqslbslrs. Give prob of sequence bbrq.
7/7752
Calculate prob of sequence ckcp when four letters picked without replacement from kppccccpccckccpa.
6/455
Calculate prob of sequence gmgg when four letters picked without replacement from mmmgggmgmgmmmmmmmmmm.
5/646
Two letters picked without replacement from {k: 5, z: 3, p: 1, w: 1}. Give prob of sequence zz.
1/15
What is prob of sequence gyy when three letters picked without replacement from {g: 5, r: 5, y: 1}?
0
Calculate prob of sequence nfnn when four letters picked without replacement from {n: 5, q: 3, f: 5}.
5/286
Calculate prob of sequence tt when two letters picked without replacement from {q: 4, t: 3, r: 4}.
3/55
Calculate prob of sequence ougg when four letters picked without replacement from {b: 1, q: 8, g: 2, u: 3, o: 5}.
5/15504
Calculate prob of sequence bbs when three letters picked without replacement from {s: 4, b: 3, u: 3, y: 1}.
4/165
Calculate prob of sequence goig when four letters picked without replacement from hogdioogiiigghioiigg.
7/969
What is prob of sequence jjc when three letters picked without replacement from {c: 7, j: 2}?
1/36
What is prob of sequence jj when two letters picked without replacement from meeegjj?
1/21
What is prob of sequence bm when two letters picked without replacement from {b: 2, t: 10, m: 4}?
1/30
Four letters picked without replacement from {f: 5, u: 4, p: 5}. Give prob of sequence ufpp.
50/3003
Two letters picked without replacement from {u: 3, x: 3}. Give prob of sequence uu.
1/5
What is prob of sequence hrh when three letters picked without replacement from {p: 2, r: 9, h: 8}?
28/323
Calculate prob of sequence gkxx when four letters picked without replacement from {g: 1, k: 1, n: 5, x: 12}.
11/7752
Three letters picked without replacement from mmmumumm. Give prob of sequence mmu.
5/28
Four letters picked without replacement from {n: 3, l: 3}. Give prob of sequence nlln.
1/10
Two letters picked without replacement from {n: 5, f: 8}. Give prob of sequence ff.
14/39
What is prob of sequence ke when two letters picked without replacement from ewwwwkawwae?
1/55
What is prob of sequence fy when two letters picked without replacement from {f: 1, p: 6, q: 1, m: 2, y: 2}?
1/66
Four letters picked without replacement from aajagjwgbaja. What is prob of sequence bgja?
1/396
What is prob of sequence gdn when three letters picked without replacement from {n: 1, p: 1, o: 1, g: 1, d: 1}?
1/60
Three letters picked without replacement from caaonanoatnay. Give prob of sequence yco.
1/858
What is prob of sequence pcp when three letters picked without replacement from ccccypyjsjjyjp?
1/273
Four letters picked without replacement from {y: 9, j: 3}. What is prob of sequence yjyy?
7/55
What is prob of sequence mtpz when four letters picked without replacement from dfmpzpzztpfm?
1/660
Three letters picked without replacement from wbwwqbbbrqq. Give prob of sequence wwr.
1/165
Four letters picked without replacement from nsjssjnssss. What is prob of sequence ssjn?
7/330
Three letters picked without replacement from {v: 8, a: 2}. Give prob of sequence aav.
1/45
Calculate prob of sequence xt when two letters picked without replacement from {o: 1, t: 3, h: 9, x: 2, y: 3}.
1/51
Three letters picked without replacement from zyyzzzzy. Give prob of sequence yzz.
5/28
Four letters picked without replacement from {r: 1, f: 4, k: 5, n: 3, c: 1, a: 3}. What is prob of sequence aafr?
1/2380
Three letters picked without replacement from {m: 18, i: 1}. What is prob of sequence mim?
1/19
Two letters picked without replacement from sswawcwauwauwuwwsc. What is prob of sequence aw?
7/102
Calculate prob of sequence mugf when four letters picked without replacement from {m: 1, g: 1, u: 1, p: 3, f: 7}.
7/17160
Calculate prob of sequence vbmv when four letters picked without replacement from {v: 11, m: 5, r: 2, b: 1}.
275/46512
Four letters picked without replacement from {d: 7}. Give prob of sequence dddd.
1
Calculate prob of sequence zcw when three letters picked without replacement from zzlwcccczlzzltz.
4/455
Calculate prob of sequence ttt when three letters picked without replacement from {k: 1, u: 3, t: 3, z: 4}.
1/165
Two letters picked without replacement from xxmxmmmxmxmmm. Give prob of sequence xx.
5/39
Four letters picked without replacement from exeeexee. Give prob of sequence eeex.
1/7
Calculate prob of sequence vapv when four letters picked without replacement from {n: 1, v: 6, p: 1, a: 8, d: 1}.
1/238
Two letters picked without replacement from obsboskj. What is prob of sequence os?
1/14
What is prob of sequence wbdc when four letters picked without replacement from {w: 4, c: 1, d: 5, e: 1, b: 3}?
5/2002
Two letters picked without replacement from {c: 1, k: 5, n: 3}. What is prob of sequence kc?
5/72
What is prob of sequence ijjo when four letters picked without replacement from iiiioooiooiijijoifo?
7/5168
Calculate prob of sequence dd when two letters picked without replacement from dddkkdd.
10/21
Calculate prob of sequence vl when two letters picked without replacement from olvhhivn.
1/28
What is prob of sequence qt when two letters picked without replacement from {j: 9, t: 4, q: 6}?
4/57
Three letters picked without replacement from sjjttsssssstt. Give prob of sequence jjt.
2/429
What is prob of sequence hhj when three letters picked without replacement from {h:


rue
Is 1026966823 prime?
True
Is 6615821 composite?
True
Is 44534639 a prime number?
True
Is 2316736211 a composite number?
False
Is 267168169 a composite number?
True
Is 877860233 a prime number?
False
Is 16509452353 a prime number?
False
Is 690411763 a composite number?
False
Is 40628991629 a composite number?
False
Is 140510923 a composite number?
True
Is 6890793373 composite?
False
Is 3566798819 a composite number?
True
Is 4977065627 a prime number?
True
Is 2859679811 a prime number?
True
Is 2317986257 composite?
True
Is 603144029365 a composite number?
True
Is 156925871 a composite number?
False
Is 13795789727 prime?
False
Is 137299321 composite?
True
Is 730336927 prime?
True
Is 3591847859 composite?
False
Is 14667732479 a composite number?
False
Is 4599525169 a prime number?
False
Is 1905879961 prime?
False
Is 5407711241 a composite number?
False
Is 638130665 a composite number?
True
Is 759231653 a composite number?
False
Is 3414658561 a prime number?
True
Is 787994123 prime?
False
Is 1594080457 composite?
False
Is 1422473009 prime?
False
Is 2702570257 composite?
True
Is 296866561001 a composite number?
False
Is 82699751 a prime number?
True
Is 52395966697 prime?
True
Is 1291500097 composite?
False
Is 23019417821 composite?
False
Is 6292109087 composite?
True
Is 1523827307 a composite number?
False
Is 1538473537 composite?
False
Is 292962750481 a composite number?
False
Is 13611672383 prime?
False
Is 6976969 a prime number?
False
Is 10705760581 composite?
False
Is 254077828009 a composite number?
False
Is 337906813 composite?
False
Is 45801934583 prime?
False
Is 14204414137 a prime number?
True
Is 2450531723 prime?
True
Is 49073026267 a composite number?
True
Is 9340796287 a prime number?
False
Is 40466576609 composite?
True
Is 215430247 composite?
False
Is 76921390081 a composite number?
True
Is 93094117 a composite number?
False
Is 5480367631 prime?
False
Is 1656836873 prime?
True
Is 203920261 composite?
True
Is 590519243 a prime number?
False
Is 2820498311 prime?
False
Is 80360536661 composite?
True
Is 17968161253 composite?
True
Is 19549223699 a composite number?
True
Is 55881120727 prime?
True
Is 12687911255 prime?
False
Is 5905304651 composite?
False
Is 2285844979 a composite number?
True
Is 152472163 a prime number?
False
Is 7976593399 a prime number?
False
Is 22406065567 prime?
True
Is 2199607511 prime?
False
Is 3262369057 composite?
True
Is 1347717161 a prime number?
False
Is 421055519 a prime number?
True
Is 3396681461 a composite number?
True
Is 353396983 a prime number?
True
Is 156006221 composite?
True
Is 153904504861 composite?
False
Is 81506707 composite?
True
Is 165101861 prime?
True
Is 323692541 a prime number?
True
Is 26455326721 composite?
False
Is 1353573505 a prime number?
False
Is 206783490601 composite?
False
Is 14701213867 prime?
True
Is 308056901 a prime number?
True
Is 1527478769 prime?
True
Is 3231681031 composite?
False
Is 36955241 a prime number?
True
Is 80912261 prime?
True
Is 8284626022 prime?
False
Is 6727381459 a composite number?
True
Is 17872738579 prime?
True
Is 38623768903 a composite number?
True
Is 9918550067 prime?
False
Is 1724750557 composite?
True
Is 1148804609 composite?
False
Is 4651867157 composite?
True
Is 53550421553 composite?
False
Is 843966949 a prime number?
False
Is 85818186793 a prime number?
True
Is 2736889973 prime?
True
Is 25081465373 a prime number?
False
Is 332232847 a composite number?
True
Is 110667914837 a prime number?
True
Is 1223780857 prime?
False
Is 9810985319 a composite number?
False
Is 10580833297 a prime number?
False
Is 13224535801 a prime number?
True
Is 1077473009 a composite number?
True
Is 199107697559 a prime number?
False
Is 41630302607 a prime number?
True
Is 20285556653 a composite number?
True
Is 41815194959 prime?
False
Is 7562695643 composite?
True
Is 12042804119 a prime number?
True
Is 1331341327 a composite number?
False
Is 1723737683 a composite number?
True
Is 2970642707 prime?
True
Is 11263282829 a composite number?
False
Is 106705471 composite?
True
Is 27414845537 a composite number?
False
Is 40638290893 prime?
False
Is 71409069307 a prime number?
False
Is 8368777927 composite?
True
Is 12873623977 a composite number?
False
Is 2766349562 a composite number?
True
Is 3280632041 composite?
False
Is 2800925653 prime?
False
Is 405087841 composite?
False
Is 16999454887 prime?
False
Is 1881973 a prime number?
False
Is 78441597349 a prime number?
True
Is 692677339 a composite number?
False
Is 4690402999 a composite number?
False
Is 378864691 composite?
False
Is 1211844863 a prime number?
False
Is 18501603833 prime?
True
Is 1791793453 composite?
True
Is 1151877841 prime?
True
Is 247773751 a prime number?
False
Is 75757526951 a composite number?
True
Is 461523079 composite?
False
Is 57727129949 prime?
False
Is 2096439853 composite?
False
Is 682211147 a composite number?
False
Is 132619606819 composite?
True
Is 102247841 a prime number?
True
Is 9396402833 prime?
True
Is 187209209141 a composite number?
True
Is 16478486939 prime?
True
Is 2935345871 a prime number?
True
Is 807392002 a prime number?
False
Is 11347693873 composite?
True
Is 19097330971 prime?
False
Is 1770178717 prime?
True
Is 484304173 a prime number?
False
Is 364845157 a prime number?
True
Is 672344093 composite?
True
Is 706651601 a prime number?
True
Is 4910417587 prime?
False
Is 5723573099 prime?
False
Is 840715891 a prime number?
True
Is 154745153 prime?
True
Is 812121899 prime?
True
Is 9512931803 prime?
True
Is 115098375739 prime?
False
Is 277819587439 a prime number?
False
Is 1271322211 composite?
False
Is 164204809 composite?
False
Is 1580128013 a prime number?
False
Is 347598457 composite?
False
Is 3659683757 prime?
False
Is 3364153909 composite?
False
Is 310482041 a composite number?
False
Is 49530037261 prime?
True
Is 4952753765 prime?
False
Is 152857724797 a composite number?
False
Is 1502171751 composite?
True
Is 2298989129 a prime number?
True
Is 15226742909 composite?
True
Is 1194397597 a prime number?
True
Is 9774039409 composite?
False
Is 313251313 a prime number?
True
Is 88612471 a composite number?
False
Is 192462527 a prime number?
True
Is 65351939 composite?
True
Is 285538037 a composite number?
True
Is 301007537 prime?
True
Is 15491138723 a composite number?
False
Is 112063457 composite?
True
Is 316660511 a composite number?
True
Is 1095813851 a prime number?
False
Is 9543199409 composite?
False
Is 347275613 composite?
True
Is 914137439 prime?
False
Is 42325141363 a prime number?
True
Is 2111821919 composite?
False
Is 9686631901 composite?
False
Is 345624049 a composite number?
False
Is 2261624905 prime?
False
Is 119749401559 prime?
True
Is 992624827 a prime number?
False
Is 10371987071 prime?
False
Is 1901697977 prime?
False
Is 1038160639 prime?
False
Is 947534257 prime?
True
Is 29819459 a composite number?
True
Is 238910651 a composite number?
True
Is 420740501 composite?
False
Is 1143614319 a prime number?
False
Is 4395626429 a prime number?
False
Is 393963563 a composite number?
True
Is 6443918587 composite?
False
Is 8989044301 a composite number?
True
Is 2420431417 composite?
False
Is 79838234281 a composite number?
True
Is 1313594059 composite?
False
Is 3708299761 a prime number?
True
Is 449759707 a composite number?
False
Is 24235265 composite?
True
Is 606730423243 composite?
True
Is 667738819 composite?
True
Is 562622299 a composite number?
False
Is 385591963 a composite number?
True
Is 96313817 prime?
False
Is 31568130109 a prime number?
True
Is 22188724553 prime?
True
Is 22918124269 a composite number?
True
Is 72572399 prime?
True
Is 588812867 prime?
False
Is 115869287 prime?
False
Is 4247155559 composite?
False
Is 39503334243 prime?
False
Is 6811865149 a prime number?
True
Is 1024375463 a prime number?
True
Is 11245822433 composite?
False
Is 1284926879 a composite number?
True
Is 1799459159 a composite number?
False
Is 801483167 composite?
False
Is 15251485765 a prime number?
False
Is 1545089527 a prime number?
True
Is 5692201909 composite?
True
Is 16378765189 composite?
False
Is 515283521 a composite number?
True
Is 6863063429 a prime number?
False
Is 451405391 a prime number?
False
Is 60416176871 a composite number?
True
Is 272505153631 prime?
True
Is 101705139


+ 19 - 6. Suppose 3*z + 3 + 3 = 0. Sort z, 5, b in descending order.
5, z, b
Let q(k) be the first derivative of k**2/2 + 8*k - 4. Let f be q(-9). Put 4, f, 1 in decreasing order.
4, 1, f
Suppose 0 = -2*s - y - 3, 3*s = y - 5*y + 3. Put 3, -2, s in increasing order.
s, -2, 3
Let x = 12 - 121/10. Suppose 0 = -k + 6*k. Sort x, -0.3, k in descending order.
k, x, -0.3
Let i be 2/(-9) - 4/(-18). Let r be 1*(-5 - -1 - -3). Sort i, r, 4 in descending order.
4, i, r
Let v = -3.2 + 2.4. Sort -5, v, -0.2.
-5, v, -0.2
Let q = -0.17 - 5.73. Let x = q - -6. Sort x, 2, -1/3.
-1/3, x, 2
Let c(o) = -o + 7. Let h be c(6). Let a = 11 + -8. Suppose 0 = 4*l - 4, 0 = -2*r + r - a*l + 6. Sort r, h, -4 in descending order.
r, h, -4
Let q(x) = -x**3 + 8*x**2 - x + 6. Let a(b) = b**3 - b**2 - 2*b - 4. Let f be a(3). Let n be q(f). Sort 1, n, -4 in decreasing order.
1, n, -4
Let t be (-3)/1*(-30)/9. Let w be (-2)/(-5) + (-24)/t. Put -2/3, w, -1/6 in descending order.
-1/6, -2/3, w
Let x be 557/(-5) - (-4 + 4). Let m = -29 + -82. Let f = x - m. Put -4, 0, f in decreasing order.
0, f, -4
Suppose -4*m = 2*o, -2*o + 35 = -4*o + 3*m. Sort o, -2/3, -0.2, -0.4 in ascending order.
o, -2/3, -0.4, -0.2
Suppose w + 2*g = 7, w + 2*g = -3*g + 19. Sort 0, 14, -3, w in descending order.
14, 0, w, -3
Let i = -1 - -0.9. Suppose q + 10 = 3*d, 3*q + 14 = -13*d + 14*d. Sort 1, i, q in increasing order.
q, i, 1
Let l(o) = -o - 7. Let h be l(-4). Let m be 1*h*(-1)/1. Sort m, -3, -2 in decreasing order.
m, -2, -3
Suppose 0 = 2*v - 23 + 3. Suppose -5*p = -4*i + 25, -2*p = -2*i - 2*i + v. Suppose 2*w - 1 = 1. Sort i, w, -2.
-2, i, w
Suppose 3*o = -0*o - 6. Let h be (o/(-3))/((-28)/210). Put -1, -4, h in decreasing order.
-1, -4, h
Let r = -11 - -17. Sort r, 3, 0, 5.
0, 3, 5, r
Let c = 53 - 35. Suppose -2*q = q - c. Suppose 4 = 4*u - q*u. Sort 4, u, 1 in increasing order.
u, 1, 4
Suppose -19*u = -16*u + 3. Put 1, 0.2, u in decreasing order.
1, 0.2, u
Let k be 3/(-1)*(-7)/(42/(-4)). Sort k, 3, 2 in ascending order.
k, 2, 3
Suppose -4*w + 5*w + 5 = 0. Let h = 14 - 9. Suppose -h*t - 1 = 9. Sort 5, t, w.
w, t, 5
Let d = 0.297 - -0.103. Let m = 1 + -1. Put 2/7, d, m in decreasing order.
d, 2/7, m
Let v = -9 - -9.5. Let q = 0.5 - v. Sort -1, 1, q in descending order.
1, q, -1
Let v = -2 + 2.6. Let t = v + -0.9. Put t, -3, 3 in increasing order.
-3, t, 3
Suppose 22 = 3*q + 4*j, -8*q + 12*q - j = 4. Put -0.5, q, 41 in descending order.
41, q, -0.5
Let y = -7 + 8. Let j(l) = 3*l**3 - l**2. Let x be j(y). Let m(o) = -o**3 - 6*o**2 + 2*o + 7. Let w be m(-6). Sort w, 4, x in descending order.
4, x, w
Suppose 20 = 4*c - 3*x, -c - x + 5 = x. Suppose 0 = 39*q - 37*q - 6. Put c, q, -3 in decreasing order.
c, q, -3
Suppose b + 0 = -2, -y - 12 = 4*b. Let w(z) = -2*z - 5. Let l(d) = d + 1. Let j be l(-6). Let o be w(j). Sort o, y, -2 in increasing order.
y, -2, o
Let n = 3.4 + -3. Let q be 2 + (-1 - (-6 - -3)). Sort n, -1, q in decreasing order.
q, n, -1
Let s be (-3356)/80*8/(-3). Let v = s - 112. Let j = -0.05 - -3.05. Sort v, j, 0.3 in ascending order.
v, 0.3, j
Let g = -25 + 24. Let c = 2 + 0. Put c, -4, g in descending order.
c, g, -4
Let m = -20 - -25. Let c = -4 + 1. Sort c, 3, m.
c, 3, m
Suppose -2 = 4*v + 3*b, -20 + 6 = 5*v - 2*b. Sort v, -4, 0 in descending order.
0, v, -4
Let y be (3/(-4))/(2/(-16)). Let r = 6 - y. Sort r, -3, -7 in descending order.
r, -3, -7
Let l = -50 - -98. Put 4, l, -2 in descending order.
l, 4, -2
Let b = 9 - 1. Let j be 34/b - 21/(-28). Put -3, 1, j in ascending order.
-3, 1, j
Let f be (-5)/((-20)/12) + 29. Let x be 16/(-72) - f/18. Put x, 3, 0 in descending order.
3, 0, x
Let n(v) = v**2 + 3*v + 2. Let h be n(-3). Suppose -5*o + 2*o + 5*k = -17, -5*o = -4*k - 24. Put h, o, 1 in descending order.
o, h, 1
Let m = -13 - -29. Suppose 5*h + 3*k + 20 = 0, -4*h - 2*k = k + m. Put 4, h, 2 in descending order.
4, 2, h
Let b(m) = m**2 + 3*m + 3. Let f(g) = -g**2 - 2*g - 3. Let r(t) = -6*b(t) - 7*f(t). Suppose -4*d = -9 - 7. Let l be r(d). Put 4, l, -2 in ascending order.
-2, l, 4
Suppose 0 = 3*a - a - 12. Suppose -i + 2*k = 0, 0 = 3*i + 4*k + 20. Let z be i/a*(-9)/(-12). Put -0.3, z, -0.1 in descending order.
-0.1, -0.3, z
Let k be (-147)/(-685) + (-3)/(-15). Let t = k + -2/137. Let y be ((-20)/60)/((-2)/(-18)). Put 1, y, t in ascending order.
y, t, 1
Let j = -584/2547 - -2/283. Let x be 2/(-6) + (-506)/(-33). Let m be 4/x*24/(-16). Put 4, j, m in increasing order.
m, j, 4
Let x = -0.07 - 0.93. Suppose 0 = -3*h - 0*h - 42. Let f = 57/4 + h. Sort 3, f, x.
x, f, 3
Let m be (1 + 1 - 3)/(-1). Suppose 3*f - 4 = 4*r, -3*f + 7*f + m = -r. Let q be (0 - 1 - -2) + f. Put -5, q, 5 in decreasing order.
5, q, -5
Let g = -3.6 + -0.4. Let q = -739/9 - -82. Sort 0.5, q, g in ascending order.
g, q, 0.5
Suppose 2*d - 2*s - 16 = 6*d, -d + 2*s = 9. Sort 5, d, 4 in decreasing order.
5, 4, d
Let k be 2/(-3*(-4)/30). Let v be (-36)/27 + (-4)/6. Put v, k, 1 in decreasing order.
k, 1, v
Let m = 93/64 + 3/64. Let o = -7 + 13. Put o, m, 0.3 in decreasing order.
o, m, 0.3
Let t(c) = c**3 + 7*c**2 - 8*c + 4. Let f be t(-8). Suppose 3*n = -1 + 7. Suppose p = n - 6. Put 0, p, f in descending order.
f, 0, p
Let t = -1.2 + 1.7. Put -0.5, 4, t in decreasing order.
4, t, -0.5
Let k be 4 + -3 - (-20)/(-18). Put k, 2, -0.1 in decreasing order.
2, -0.1, k
Let z be (-3)/(-2)*8/6. Suppose -3*k = -k + t - 4, 4*k - 8 = 4*t. Suppose -2*u - k*u - 5*q - 14 = 0, -8 = 4*q. Sort -5, z, u.
-5, u, z
Let j = -22 + 15. Let k = j + 11. Let d be ((-11)/(-4) + -3)*1. Sort d, k, -4/3.
-4/3, d, k
Let h = -121 - -120.8. Sort -0.4, -1, -3/8, h.
-1, -0.4, -3/8, h
Let a = 8 - 18. Sort a, 2, -5.
a, -5, 2
Let d be (-1)/3 - 98/(-42). Sort d, -4, -3 in increasing order.
-4, -3, d
Let g be ((-2)/5)/(5/(-10)). Let d be (-4)/(-12)*3714/8. Let o = d - 154. Sort o, -4, g in decreasing order.
g, o, -4
Let i = -0.04 - -6.04. Let r = i + -2. Sort r, -0.2, 0 in decreasing order.
r, 0, -0.2
Let y = 19 - 2. Suppose -3*a + y = 2*s, 4*a - 23 = -2*s - a. Sort -1, 3/7, s in decreasing order.
s, 3/7, -1
Suppose 34 + 1 = 7*j. Put j, 1, 4 in descending order.
j, 4, 1
Let w = -76 - -79. Let q = -12.8 - -11. Let n = 2 + q. Sort w, -1/9, n.
-1/9, n, w
Let v = -1.1 - -1.8. Sort v, 4, -2/5 in decreasing order.
4, v, -2/5
Let y = -1/78 + -37/156. Put -0.1, y, 0.5, -0.3 in increasing order.
-0.3, y, -0.1, 0.5
Suppose 5*t + 30 = 2*t. Let k = -13 - t. Put k, 2, 3 in decreasing order.
3, 2, k
Let f = 5.92 - -0.08. Put 0.4, -0.1, f in increasing order.
-0.1, 0.4, f
Suppose 5 = 8*z - 11*z + 2*x, z - 3*x = 3. Put -2, 4, z in descending order.
4, -2, z
Let n = -74 - -77. Put -0.1, n, 8 in ascending order.
-0.1, n, 8
Let r(x) = -x - 11. Let m be r(-9). Let h = 4 - 7. Let b be (5*-1)/(3/h). Sort m, -3, b.
-3, m, b
Let w be -4 + (-12)/(-14)*(-280)/(-60). Put w, 9/5, -1/2, 4/3 in increasing order.
-1/2, w, 4/3, 9/5
Let i = -0.3 + -0.1. Let m = 156 + -30. Let j be (4 + -1)/m*4. Sort i, j, 0.4.
i, j, 0.4
Let t = -56545/38 + 1489. Let l = t - -10/19. Sort l, 1, 1/6 in decreasing order.
l, 1, 1/6
Let d be (11/(-44))/(1/(-8)). Suppose 3*z + o = -0*o - d, 5*o = -5*z - 20. Sort -3, z, -4 in ascending order.
-4, -3, z
Let c = -4.04 - -0.04. Let b = 0.26 + -0.16. Put c, 9, b in ascending order.
c, b, 9
Let o = -14 + 16. Suppose 0*u = -2*u - o. Put u, 1, -5 in decreasing order.
1, u, -5
Let c = 0 + 0.1. Let h = -5.74 + 0.74. Sort h, c, 3/4.
h, c, 3/4
Let r be 0/2 + (-1)/6. Let n(k) = 3*k**2 - 3*k - 3. Let c be n(-2). Let w be (-3)/c - (-21)/55. Sort -2, w, r in decreasing order.
w, r, -2
Suppose 5*g - 14 = 3*g. Suppose 1 = 2*h + 4*l + g, 0 = 3*h - 4*l - 21. Suppose 0*u - 19 = 3*u - 2*v, -6 = -3*u - 3*v. Sort u, h, -4 in decreasing order.
h, u, -4
Let a = -21 - -26. Put a, -21, -2/15 in descending order.
a, -2/15, -21
Suppose -4*v + 5*v = 0. Let b = 2 - 4. Sort v, -1, b.
b, -1, v
Let a = -3 - -2.68. Let b = a + -0.08. Put 1, b, -2/9 in descending order.
1, -2/9, b
Suppose 2*w = -4*a - 6, -4*a + 0*a + 14 = -2*w. Put -1, -2, a in ascending order.
-2, -1, a
Let r(h) = h**3 - 6*h**2 - h + 3. Let s be r(6). Sort s, -2, 4.
s, -2, 4
Let u = -1089/8 + 137. Let y = u - 61/88. Sort 1/2, -4, y.
-4, y, 1/2
Let x = -14 + 14. Sort -0.05, x, -4 in descending order.
x, -0.05, -4
Let n = 1257/4 - 312. Sort


 remainder when 55 is divided by f(-1).
17
Suppose 0 = -l + 6*l. Suppose 2*d - 3*p = 6*d - 215, -3*d - 3*p + 159 = l. Calculate the remainder when d is divided by 19.
18
Suppose 0*w = w - 29. Let q(p) = -p**3 - 7*p**2 - 2*p - 6. Calculate the remainder when w is divided by q(-7).
5
Suppose -t = -5*t + 32. Calculate the remainder when 2*(75/(-2))/(-5) is divided by t.
7
Let t(o) = -4*o + 6. Suppose -3*d = -4*d, -3*d + 15 = -3*u. What is the remainder when t(u) is divided by 14?
12
Suppose 3*q - h + 4*h = 72, 4*h = 16. What is the remainder when 17 is divided by 19/4 - (-5)/q?
2
Suppose 5*k + 5*y + 6 = 31, k = -5*y + 13. Suppose 0 = -3*g - 0 + 15. Suppose -g*a = -0*a - 10. Calculate the remainder when k is divided by a.
1
Suppose -2*d - l + 12 = 0, 24 + 2 = 4*d + l. Let a be ((-24)/5)/((-5)/(-50)). Let k = -28 - a. Calculate the remainder when k is divided by d.
6
Let q = -23 - -47. Calculate the remainder when 45 is divided by q.
21
Suppose -2*k - 4*i + 9 = -13, 0 = 5*k - 3*i - 3. Suppose -2*v = -k*v + 5. Calculate the remainder when 9 is divided by v.
4
Let d = 4 - 0. Suppose 2*g - 3*q = -2*q + 20, 0 = -d*g - 2*q + 56. What is the remainder when 45 is divided by g?
9
Let w(l) = 9 - l**3 - 13 + 10*l + l**2 + 6*l**2. What is the remainder when w(8) is divided by (28/(-6))/((-2)/3)?
5
Suppose -5*w + 345 = 4*g, g + 3*g + 175 = 3*w. Let k = 2 + w. Calculate the remainder when k is divided by 17.
16
Let l(a) = -2*a**2 + 7*a - 4. Let c be l(4). Let j = c + 14. What is the remainder when (-2 + (-3)/(-1))/((-9)/(-144)) is divided by j?
4
Let r be (-3)/2*1040/(-12). Let u = r + -93. Let b = 21 - 8. Calculate the remainder when u is divided by b.
11
Let z(u) = 10*u**2 - 3*u + 2. Let y be z(2). Let s = y - 21. What is the remainder when 42 is divided by s?
12
Suppose -i + 15 = 5*z, 0 = 4*z + z + 25. Let c = -11 + 25. What is the remainder when i is divided by c?
12
Let b = -40 - -56. Let n(d) be the second derivative of d**3/3 - 2*d**2 - 3*d. What is the remainder when b is divided by n(5)?
4
Suppose -r + 28 = 4*i, 0 = -r - 3*r + i + 180. Let g be 3*2 + (-4 - -3). Suppose -r = -g*l + 26. Calculate the remainder when 41 is divided by l.
13
Suppose 2*r - 32 = -0*r - 4*i, -3*i + 59 = 5*r. Suppose 0*x = -5*x + 30. What is the remainder when r is divided by x?
4
Suppose 0 = -6*v + 27*v - 777. Calculate the remainder when v is divided by 20.
17
Let t = -1 - -6. Suppose 3*h - 31 = -2*a, 5*h = -t*a + 72 - 2. Suppose -425 = -a*b + 6*b. Calculate the remainder when b is divided by 22.
19
Suppose 4*c - c - 130 = 5*y, -116 = -2*c - 4*y. Calculate the remainder when c is divided by 13.
11
Suppose 5*c - 551 + 221 = 0. Suppose -2*p = p + 3*b - c, -4*p - b = -85. Calculate the remainder when p is divided by (22/(-8))/((-2)/8).
10
What is the remainder when 53 is divided by (39/26)/(1/12)?
17
Suppose -5*t + 4*h - 50 = 0, 3*t + 85 = -2*t - 3*h. Let x = 17 - t. What is the remainder when x is divided by 17?
14
Let f be (-96)/10 - (-2)/(-5). Let b(o) = -22*o**2 - 2*o + 1. Let c be b(1). Let d = f - c. Calculate the remainder when 37 is divided by d.
11
Let w be ((-2)/6)/((-4)/36). Suppose 0*d + 15 = w*d. Suppose -d*r + 0*r + 38 = -3*x, -4*x = 4. Calculate the remainder when 11 is divided by r.
4
Let i(r) = -4*r + 4. What is the remainder when (24/30)/(2/115) is divided by i(-3)?
14
Let v be ((-8)/10)/(-1)*15. Let f be (3 + v/(-9))*3. Let o(h) = h + 2. Calculate the remainder when 27 is divided by o(f).
6
Let y = -14 + 14. Suppose y = 3*k - 4*d - 42, 0 = 2*k - d + 3*d - 28. What is the remainder when 38 is divided by k?
10
What is the remainder when 63 is divided by 2/(-9) + 299/9?
30
Let g(j) = j**3 + 5*j**2 - j - 6. Let c be g(-5). What is the remainder when 55 is divided by (c - 0)/((-2)/38)?
17
Let z(f) = -2*f**3 - 2*f**2 + 4. Let a be z(-3). Suppose -3*x - 10 = -2*d + d, 4*d + 3*x - a = 0. What is the remainder when 18 is divided by d?
8
Let b(t) = 2*t**2 + 4*t - 1. What is the remainder when b(-4) is divided by (21/14)/((-6)/(-32))?
7
Let f(x) = -x**2 + 6*x + 5. What is the remainder when f(5) is divided by 18/2 - -1 - 4/1?
4
Let d be (-52)/(-20) + (-4)/(-10). What is the remainder when 19 is divided by (d - 1/(-3))*3?
9
Let w(u) = -3*u**3 + 2*u**2 - u. Let p be w(1). Let s = -59 - -37. What is the remainder when 23 is divided by p/4*(-2 + s)?
11
Suppose -2*s - 4*s = -150. What is the remainder when s is divided by 9?
7
Let b(z) = -z**3 + 8*z**2 - z + 14. Let n = 13 + 3. Calculate the remainder when n is divided by b(8).
4
Suppose -24 + 12 = -4*j. What is the remainder when j is divided by 2?
1
Let w(j) = -j**2 - 7*j - 6. Let s be w(-5). Let n(l) = 17*l**2 + s - 4 - 1. What is the remainder when 47 is divided by n(1)?
15
Suppose p - 4*p + 54 = 0. Suppose -2*h = -0*h - p. Calculate the remainder when h is divided by 4.
1
Let d be (15/(-6) - -2)*-14. Suppose 27 = 4*a + d. Suppose -9 = 2*j + 5*g - 41, -5*g - 10 = -a*j. What is the remainder when 16 is divided by j?
4
Let p be (-3)/(3 + (-9)/2). Suppose -a + 27 = -p*h, 3*h - 3 = -a - 1. What is the remainder when a is divided by 5?
2
Let j = -85 + 120. Suppose 2*c = -3 + 1. What is the remainder when j is divided by 12/5*(c - -6)?
11
Let a = -12 - -15. Suppose 0*i = i - 4*q - 35, a*q + 30 = i. Calculate the remainder when 57 is divided by i.
12
Suppose 0 = 4*t + h - 6*h - 715, 0 = 5*t - 2*h - 898. Calculate the remainder when t is divided by 46.
42
Let d(f) = 24*f - 2. Let l be d(3). Let g = l + -47. What is the remainder when g is divided by 13?
10
Let a(o) = -o**3 - 7*o**2 - 7*o + 13. Let q(l) = -l**3 - 8*l**2 - 8*l + 13. Let f(m) = 7*a(m) - 6*q(m). Calculate the remainder when f(0) is divided by 5.
3
Let q(a) = -98*a**3 + a**2 - a - 2. Suppose 0 = -5*j - 3*s + 4*s + 120, -j = -2*s - 15. What is the remainder when q(-1) is divided by j?
23
Let i be (-8)/(-6) + (-2)/(-3). Calculate the remainder when 7 is divided by i - (2 + -3 + -2).
2
Suppose -4*o - 5*l - 107 = 0, -5*o - 3*l - 167 + 30 = 0. Let a = 21 - o. Calculate the remainder when a is divided by 13.
10
Let a be -4 - -8 - (1 - -1). Suppose -a*i - 50 = -7*i. Suppose 3*r - 23 = 64. Calculate the remainder when r is divided by i.
9
Let u(p) = -p**2 - 11*p + 7. What is the remainder when u(-9) is divided by 14 - (0 - (2 - 3))?
12
Let j be 12/(-4*4/(-16)). Suppose j = n - 1. What is the remainder when 50 is divided by n?
11
Suppose -6*s - 9 = v - 2*s, 5*v + 3*s + 113 = 0. Let c(u) = u**3 + 2*u**2 - u. Let j be c(-3). Let a = j - v. Calculate the remainder when a is divided by 5.
4
Let b = -9 + 10. Let o = -4 + b. What is the remainder when 49 is divided by (-3)/2*34/o?
15
Let a(c) = -c**2 - 10*c - 6. What is the remainder when 34 is divided by a(-5)?
15
Suppose 0 = 5*n - n - 8. Let p be n + 1 - 1/1. Suppose 2*v = j - 27, 91 = j + p*j - v. Calculate the remainder when j is divided by 11.
9
Let d(s) = -2*s**3 + s**2 + 4*s + 2. Let x be d(4). What is the remainder when (x/8)/((-8)/32) is divided by 12?
11
Let q(u) = -u - 2. Let r be q(3). Let o = r - -48. Calculate the remainder when o is divided by 11.
10
Suppose 2*q - 142 = -2*u + 4*q, 4*u = 3*q + 288. Calculate the remainder when u is divided by 13.
10
Suppose -2*o - o = 3*t - 66, -2*t + 2 = 0. Calculate the remainder when o is divided by 12.
9
Let q be ((-5)/10)/(2/(-28)). Let m = q - 11. Let s = m + 14. Calculate the remainder when 18 is divided by s.
8
Calculate the remainder when 124 is divided by 10/(-65) + (-1254)/(-39).
28
Let f(h) be the third derivative of -h**4/24 + 2*h**3 + 2*h**2. Let y be f(9). Suppose t = -y + 5. Calculate the remainder when t is divided by 2.
0
Suppose 2*u + 4*t = 38, -5*t + 64 = 8*u - 4*u. Suppose 3 = -b + 8, z - 5*b - 7 = 0. Calculate the remainder when z is divided by u.
10
Suppose 5*s = -3*f + 6*f - 9, 5*f - 5*s = 15. Let u = -3 + f. Let w = 6 + u. What is the remainder when 11 is divided by w?
5
Let v(h) = -h**2 - 17*h - 8. Calculate the remainder when v(-5) is divided by 15.
7
Let a = -6 - -12. Suppose 2*n + 16 = a*n. Calculate the remainder when 14 is divided by n.
2
Let p(i) be the third derivative of i**6/120 - i**5/15 - i**4/24 - i**3/6 + 4*i**2. What is the remainder when p(5) is divided by 7?
5
Let n be (-1 - -2)/(5/15). Suppose -3*q = -4*z - 0*q + 208, n*q = -3*z + 135. Ca


Let c = b - y. Is c a multiple of 2?
True
Is -5 + 4 + 50/1 a multiple of 2?
False
Suppose -2*k + 2*x + 46 = 0, 2*k - 2*x - 103 = -3*k. Suppose -k - 7 = -m. Is 13 a factor of m?
True
Let b = 47 - 7. Is 8 a factor of b?
True
Is 33 a factor of (4/(-5))/((-12)/2910)?
False
Let b be -4*(3/4 - 2). Let k = b + -2. Suppose k*m - 53 = 76. Is 20 a factor of m?
False
Let q = -29 + 34. Let x(d) = d**3 - 4*d**2 + 5*d - 12. Does 19 divide x(q)?
True
Let z = 31 - -7. Suppose -u - u + z = 0. Is 19 a factor of u?
True
Suppose 3*u = 3 + 6. Suppose -2*l = u*l - 70. Is 7 a factor of l?
True
Suppose -53 = -2*a + 107. Let i = -36 + a. Is 11 a factor of i?
True
Suppose 0*t + 24 = 3*t. Is 8 a factor of t?
True
Let z = 8 - 14. Suppose 0 = -4*y - 5*b + 53, 4*b + 56 = 4*y + 12. Let k = z + y. Is 5 a factor of k?
False
Let o = -147 - -219. Suppose -v = 4*v - 4*c - o, 4*v = -2*c + 68. Does 8 divide v?
True
Let b(v) be the first derivative of 4*v**3/3 + 2*v + 1. Does 18 divide b(-2)?
True
Is ((-6)/8)/((-2)/(-2 - -586)) a multiple of 24?
False
Suppose -3*s + 5*u + 117 = 0, -3*s + 78 = -s + 5*u. Does 18 divide s?
False
Is 5 a factor of 28/(-126) - (-146)/9?
False
Suppose -2*j + 81 = -j. Suppose 0 = -3*k + 3*d - 168, -4*k - d = 2*d + 231. Let n = k + j. Is n a multiple of 12?
True
Is -3 + 0 - (-9 + -87) a multiple of 42?
False
Suppose -2*r - o + 251 = 2*r, 3*o + 66 = r. Is 21 a factor of r?
True
Suppose 21 = -4*p - 7. Let b = 31 + p. Is b a multiple of 8?
True
Suppose 50 = 2*g + 3*h, g - 2*h - 16 - 2 = 0. Let r = -7 - -6. Let p = r + g. Is 11 a factor of p?
False
Suppose f - 94 = 16. Suppose 0*d + f = 5*d. Is 8 a factor of d?
False
Suppose -3*j - g - 27 = 0, -j - 7 = -2*g + 9. Let n be 6/j - 111/15. Let k = -5 - n. Is k a multiple of 3?
True
Suppose -12*m - 14 = -10*m. Is 5 a factor of m/(-2 - 12/(-8))?
False
Suppose 3*a - 6*a + 6 = 0, 3*g = -4*a + 80. Is 6 a factor of g?
True
Suppose 2*g - 7 = 17. Suppose 72 = 4*p + g. Is p a multiple of 2?
False
Let q(f) = f - 3. Let b be q(8). Suppose -18 = -b*n - 3. Suppose -n*a = -6*a + 36. Does 6 divide a?
True
Let x be (-14)/(-8) + 2/8. Is 422/22 - x/11 a multiple of 8?
False
Let y = 10 + -5. Let z(k) = -k**2 + 5*k + 4. Let b be z(y). Suppose 4 = -b*o + 28. Is 4 a factor of o?
False
Let y be (-199 - 1/(-1))/(-1). Suppose -72 = -l + 3*r, 0 = -2*l - r + y - 61. Is 23 a factor of l?
True
Suppose l + 5*o = -8, 4*l = 3*l - 3*o - 4. Is 12 a factor of (-21 + 1)/((-2)/l)?
False
Let o(a) = 5 + 4 - a - 2 - 4. Is o(-4) a multiple of 7?
True
Let z(k) = -3*k**3 - k**2 - 2*k - 3. Let n be (-1 + 3)*(0 - 1). Let j be z(n). Is 18 a factor of (-7)/(1 - 24/j)?
False
Let u = -23 + 38. Is 15 a factor of u?
True
Suppose 0 = -6*c + 3*c + 30. Suppose 0 = 6*d - d - c. Suppose 0 = 5*m, d*t - 20 = 4*m - 5*m. Does 5 divide t?
True
Let m = 7 - 13. Let r(u) = -7*u + 6. Is r(m) a multiple of 12?
True
Does 10 divide (-42)/(-4) - (-4 - 0)/(-8)?
True
Suppose -4*j = 3*i - 100, 2*i = -3*j + 40 + 26. Is 8 a factor of i?
False
Suppose 0 = -4*v + 22 - 2. Is 31 a factor of (v - 3) + (-180)/(-3)?
True
Suppose -3*p = -2*p - 3. Suppose 0*i - p*i = -12. Is 9 a factor of (6/i)/(1/6)?
True
Let x = -129 + 232. Is x a multiple of 21?
False
Let b = 57 - 27. Let q = -18 + b. Is 7 a factor of q?
False
Is -1*2*(-96)/3 a multiple of 16?
True
Let r(j) = -2*j + 3. Let a be r(0). Is 6 + (0 - a) + 66 a multiple of 23?
True
Let w(q) = q**2 - 3*q + 2. Let o be w(2). Suppose -6 = -2*g - 0. Suppose o*l + g*l = 66. Is 11 a factor of l?
True
Let k be (-1)/(1 + (-4)/3). Suppose -4*r - k*z = 4, r + 0*z = 3*z - 16. Let g(w) = -6*w. Does 9 divide g(r)?
False
Let i(p) = p + 4. Let b be i(4). Is 11 a factor of 43/4 + 2/b?
True
Let c(z) = 61*z + 2. Let h be c(-2). Let j be h/(-54) + (-4)/18. Suppose 80 = j*l + q, -3*q + 5*q = 0. Is l a multiple of 14?
False
Let t be (-104)/65*5/(-2). Suppose -g + 8 = -3*j, j = -j + t. Is g a multiple of 5?
False
Suppose -1 = -3*n + 5*g, n - 2*g = -3*n + 6. Suppose 0 = n*s + 1 + 1. Is 7 a factor of ((-44)/12)/(s/3)?
False
Let u(v) = -v**2 - 8*v + 1. Let z be u(-7). Let b = z + 27. Does 10 divide b?
False
Let r = -196 + 340. Suppose -29 + r = 5*u. Is 17 a factor of u?
False
Let z(c) = c**3 - 8*c**2 + 4*c + 1. Let o be z(5). Let t = 77 + o. Does 23 divide t?
True
Let q(s) = 6*s**2 + 2*s + 4. Suppose 2 = p - 1. Let c be q(p). Let t = -44 + c. Is 10 a factor of t?
True
Let d = 69 + -48. Is 10 a factor of (1 - (-1 + 1))*d?
False
Let f(b) = 12*b - 35. Is f(17) a multiple of 41?
False
Let j(p) = p**3 + 3*p**2 - 6*p - 4. Let y be j(-4). Suppose 2*k + y = k. Is 9 a factor of 390/42 - k/(-14)?
True
Suppose -2*p + 54 = 2*p + 2*z, 4*z = -2*p + 42. Does 11 divide p?
True
Let t(w) = w**3 - 5*w**2 - 4*w + 2. Does 24 divide t(7)?
True
Let k(q) = 8*q + 24. Is 5 a factor of k(12)?
True
Suppose 2*v - 6 = 5*v, -4*p = -3*v - 442. Does 18 divide p?
False
Suppose -4*v + 129 = -v. Is v a multiple of 10?
False
Let q be (0 - 3) + 1 - -31. Let w be (-2 + 2 + q)/1. Let y = -21 + w. Does 8 divide y?
True
Let m(a) = -a**2 + 20*a + 9. Is 9 a factor of m(20)?
True
Let j(r) = r**3 + 2*r**2 - r - 2. Let q be j(3). Suppose 2*k - 2*f = q, -2*f + 92 = 6*k - 2*k. Does 11 divide k?
True
Suppose -g = 4*t - 2*g + 121, -152 = 5*t - 2*g. Let w = t - -96. Suppose -18 - w = -3*r. Is 14 a factor of r?
True
Let q(l) = -4*l - 2. Let i be q(-1). Suppose -4*c + 0*c + 84 = 2*m, i*m + 3*c - 85 = 0. Is 15 a factor of m?
False
Let j(h) = -h + 5. Let k be j(3). Let c be (k/(-2))/(3/(-12)). Suppose -95 + 3 = -c*t. Is 22 a factor of t?
False
Is (9 + -6)*560/6 a multiple of 35?
True
Suppose -4*b = -j + 3*j - 154, -5 = -5*j. Is 19 a factor of b?
True
Let t(c) = -c + 4. Let n be t(-3). Suppose -a - n = -2*a. Suppose 0 = -2*q + 5*l + 37, 6 + a = q + 3*l. Does 8 divide q?
True
Let i = -228 - -150. Is i/24*-4*1 a multiple of 4?
False
Let n = -56 - -86. Is n a multiple of 6?
True
Let u(g) = -g**3 - 8*g**2 + g + 10. Let k be u(-8). Suppose -k*w - 1 = -5. Suppose 2*m = s + 31, -4*m - w*s + 13 + 29 = 0. Is m a multiple of 6?
False
Suppose -2*t - x + 8 = 3*x, -4 = -t - 5*x. Suppose 2*l + 3*l - 29 = 4*w, -24 = -t*l + 4*w. Suppose -c + 17 - l = 2*q, q - 5*c = -5. Is q even?
False
Let f be ((-16)/(-4))/((-2)/(-1)). Suppose -m - 51 = -r, r - 4*m - 154 = -f*r. Suppose 4*x - 2*q = 44 + r, -84 = -4*x + 4*q. Is x a multiple of 16?
False
Let t = 34 + -22. Suppose 0 = 5*i - 2*v - 9, 0 = -4*i - 4*v + 12 + t. Suppose 0 = i*f - 2*k - 88, -3*k - 6 + 28 = f. Does 12 divide f?
False
Is 9/(-45) - (-11)/5 a multiple of 2?
True
Suppose 7*p - 3*p = 12. Suppose i = p*i - 12. Does 3 divide i?
True
Suppose 2*r = -3*c + 12, -c - r + 4 - 1 = 0. Let k(a) be the third derivative of a**6/120 - a**5/12 - a**4/8 - 5*a**3/6 - a**2. Is k(c) a multiple of 13?
True
Does 19 divide 1200/64 + (-1)/(-4)?
True
Let q be (-1)/(2 - 5/2). Suppose 5*z = 5*d - 85, -q*d - 3*z + 40 = 2*d. Does 8 divide d?
False
Is 14 a factor of (-4 - -13)/(-3)*-27?
False
Let c(a) = -a + 12. Let y be c(10). Suppose 2*v - 38 + y = 0. Is v a multiple of 18?
True
Suppose -13*y + 9*y = -1040. Is 26 a factor of y?
True
Suppose 3*c = -c - 4. Let j(u) = 10*u**2 - 2*u - 1. Let x be j(c). Let z = 8 + x. Does 13 divide z?
False
Suppose -o - 5*s + 250 = 57, s = -2. Does 29 divide o?
True
Let s(a) = -5*a - 3. Let h be s(-6). Suppose -h = -3*r + 3*z, -2*r - 33 = -7*r + z. Is r a multiple of 2?
True
Let p(g) = -g**3 + 7*g**2 - 6*g + 7. Let l be p(6). Suppose -4*b + l*b - 96 = 0. Suppose -3*r + r = -b. Is 8 a factor of r?
True
Let o(s) = 5*s**2 - s + 1. Let m = 9 + -6. Suppose 2 = 5*v + 4*x - 3, -3 = -3*v - m*x. Is o(v) a multiple of 5?
True
Let g(m) = -2*m**2 - 4*m + 4. Let n be g(-7). Let j = -36 - n. Is j a multiple of 10?
True
Let q = 1 - 1. Suppose -4*s + 5*i - i = 0, q = -4*s + 3*i. Let u = s + 3. Does 2 divide u?
False
Let x(w) = w**3 - w**2 - 1. Let k(z) = -z**3 - 8*z**2 + 3. Let t be k(-8). Suppose 0*o + t*u + 6 = 5*o, 2*o - 4*u + 6 = 0. Does 9 divide x(o)?
False
Suppose 3*k = 6*k - 54. Is 9 a factor of k?
True
Let k(o) = 2*o**2 + 6*o - 5*o**3 - 3*o**2 + 7*o**2 + 4*o**3 + 9. Is 2 a factor of k(7)?
True
Suppose 2*u + 0*u - 8 = 0. Suppose -3*y - 112 + 289 = -4*w, 0 = -5*y + u*w + 295. Is y a multiple of 16?
False
Suppose 0 = 2*j - 0*j - 10, -56 = -w - 3*j. Is w a multiple of 10?
False
Let m(p) = -2*p. Le


olve 0 = 17385*h - 16895*h + 18130 for h.
-37
Solve -280035 + 263031 = 156*q for q.
-109
Solve 141*y = 62*y - 23 - 2268 for y.
-29
Solve -3574*m + 74904 = 1182*m - 414964 for m.
103
Solve 0 = -63*l - 125*l + 220*l + 1248 for l.
-39
Solve -141 = -28*z - 605 - 824 for z.
-46
Solve -663*l - 22490 = -2018*l + 49325 for l.
53
Solve 4229*g + 65721 = -348*g - 543020 for g.
-133
Solve -13582 = -1917*v - 53839 for v.
-21
Solve 4158*s - 2834 - 334 - 9551 + 245 = 0 for s.
3
Solve 7744 = 62*y - 1030*y for y.
-8
Solve 1247*b + 17425 = 1672*b for b.
41
Solve -128*w - 758*w - 9746 = 0 for w.
-11
Solve 3756*o = -244225 + 45157 for o.
-53
Solve 1853*l = 16218 + 37519 for l.
29
Solve -3021*j - 1116 = -76641 for j.
25
Solve 0 = -240*l + 9742 - 1646 - 2816 for l.
22
Solve -313565 = -2759*c - 51460 for c.
95
Solve 704 = 57*a - 1234 for a.
34
Solve -17324 = 70*s + 27*s + 2*s + 145*s for s.
-71
Solve -349 = -1032*g + 683 for g.
1
Solve -507*g = 4012 - 463 for g.
-7
Solve 31822 = -64*c + 26318 for c.
-86
Solve -136*i - 723 - 400 = 373 for i.
-11
Solve -134*j + 1176 = -333*j + 143*j for j.
-21
Solve -21*a + 29 + 191 + 116 = 0 for a.
16
Solve -618*a - 2491 = -2569 - 8574 for a.
14
Solve 34*b = -18*b + 31*b - 10*b - 2728 for b.
-88
Solve 37*r - 902 + 385 = 1461 + 1204 for r.
86
Solve 904*p + 1953*p - 293*p + 97432 = 0 for p.
-38
Solve -13141*t - 1691836 = 14221*t + 114056 for t.
-66
Solve 13247 = -1572*u - 8201 - 24140 for u.
-29
Solve 928*v - 39901 = 86*v + 13921 + 18590 for v.
86
Solve -340 = -106650*g + 106646*g for g.
85
Solve -7738*b + 16118*b = 8047*b + 42328 - 11692 for b.
92
Solve 3758*o + 960 = 3734*o for o.
-40
Solve -20310 = 48*f - 21654 for f.
28
Solve 160882 + 364689 = 7440*r - 188669 for r.
96
Solve -881*r = -870*r - 154 for r.
14
Solve -5 = 19*p - 76 + 337 for p.
-14
Solve 174*t - 4785 + 2894 = -84*t + 7655 for t.
37
Solve -10898 = 1607*u - 251*u + 24487 + 10719 for u.
-34
Solve 791*v - 551*v - 213 = 3867 for v.
17
Solve 294918 = 4164*g + 78390 for g.
52
Solve 5115 = 79*v + 538 - 558 for v.
65
Solve 6881*l = -58678 + 415298 + 572315 for l.
135
Solve 297*x - 445 = -1360 - 2130 - 1113 for x.
-14
Solve -95*h = 34*h + 9329 - 4556 for h.
-37
Solve -99*o - 279*o = 19*o - 6746 + 20641 for o.
-35
Solve 788734*o = 788748*o + 462 for o.
-33
Solve -826*x + 1917*x + 75923 + 32435 = -2096*x for x.
-34
Solve 1062*x - 657565 = -13977*x - 700*x + 821901 for x.
94
Solve 71322*y - 2048 = 71258*y for y.
32
Solve -1161*u = 11578 + 96395 for u.
-93
Solve 8264*j - 570 = 8302*j for j.
-15
Solve 169*l - 31137 = -14406 for l.
99
Solve 12476 - 7604 = -232*h for h.
-21
Solve 1387*t - 2001 = 1332*t + 254 for t.
41
Solve 7*i + 14*i - 2835 = 76*i - 20*i for i.
-81
Solve 883*s = 734*s + 1043 for s.
7
Solve 100342 = -140*a + 114902 for a.
104
Solve -200*y + 5663 + 4305 - 2968 = 0 for y.
35
Solve -49*j - 94*j - 9466 = -2011 + 839 for j.
-58
Solve 898*q - 1460*q + 517*q = -3555 for q.
79
Solve 8358*b = 16733*b - 8363*b + 1272 for b.
-106
Solve -8514 + 214 = 1026*s + 3198*s - 74*s for s.
-2
Solve 384*f + 6483 + 6186 = -8835 for f.
-56
Solve 65644*y - 65708*y + 2 - 1 = 1 for y.
0
Solve 834*c - 150*c - 4964 = -17276 for c.
-18
Solve -1330*l + 1387 - 4588 = -348*l + 3673 for l.
-7
Solve -9308 = -216*c + 13305 + 7432 - 9309 for c.
96
Solve 0 = 353831*f - 354798*f + 25142 for f.
26
Solve -86*b + 12065 = -b - 291*b - 429*b for b.
-19
Solve -103*q - 368 = -28*q + 109*q for q.
-2
Solve -87*s - 1206 = 708 for s.
-22
Solve 0 = 159*l + 225*l + 75*l + 3213 for l.
-7
Solve -186*j = 1220*j - 36556 for j.
26
Solve 40*y - 26*y = -49*y - 2331 for y.
-37
Solve -1302*o - 2169*o - 9719 - 111921 = -430*o for o.
-40
Solve 5728*a - 13896 = 69696 - 20584 for a.
11
Solve -2939 = -122*q - 11 for q.
24
Solve 0 = -921*x - 935*x + 1846*x - 470 for x.
-47
Solve 1606 - 186 + 710 = -426*m for m.
-5
Solve -4117*j + 15042 = -8304*j + 4049*j for j.
-109
Solve 1972*w = 3974*w + 120120 for w.
-60
Solve 111276 - 14269 = -1762*x - 61878 + 3829 for x.
-88
Solve -221*z + 110*z = 79*z + 169*z + 22258 for z.
-62
Solve -5228*h - 14854 = 11286 for h.
-5
Solve 289*r + 135*r - 20718 = -12927 + 16801 for r.
58
Solve 11507*f - 225324 - 148073 = -147530 + 222906 for f.
39
Solve 18*r - 1114 + 2140 = 0 for r.
-57
Solve 1795 = -243*u + 12730 for u.
45
Solve -8261*v - 1420 = -7906*v for v.
-4
Solve -35360 = -2985*t + 21355 for t.
19
Solve 58851 = -3385*g + 494*g - 43862 - 99657 for g.
-70
Solve -30233 - 33956 + 7721 = -293*w + 1036*w for w.
-76
Solve 4670*r + 84469 = 1207*r - 64440 for r.
-43
Solve -478*h - 22542 = 100*h for h.
-39
Solve 1443*b + 468*b + 288*b = 87960 for b.
40
Solve -718*k = 767*k + 2477 - 14357 for k.
8
Solve 0 = 872*y - 266*y + 36360 for y.
-60
Solve 0 = 33866*d - 33778*d + 851 + 1715 - 190 for d.
-27
Solve 1236096 = -26135*p - 567219 for p.
-69
Solve -210*p + 2947 = 63*p - 4055 - 3918 for p.
40
Solve -436 = -74*x - 19*x - 1738 for x.
-14
Solve -26*l + 14926 = -2445*l - 9896 - 13882 for l.
-16
Solve 120*q = -203496 + 197376 for q.
-51
Solve -5438 - 5901 = -460*c + 3381 for c.
32
Solve 2569 + 9931 = 143*k + 202 for k.
86
Solve -72*q - 16861 = -17581 for q.
10
Solve 965*a + 8813 + 802 + 8649 - 5719 = 0 for a.
-13
Solve 15328296*x - 15328572*x - 22080 = 0 for x.
-80
Solve 1170429*r = 1170479*r - 150 for r.
3
Solve 223*f + 1596 = -353*f - 3012 for f.
-8
Solve -116*g + 63*g = -315*g - 151*g + 13629 for g.
33
Solve 77*o - 47*o + 633 = -27 for o.
-22
Solve 756*j - 495235 = -470287 for j.
33
Solve -41*v + 104*v = 927*v - 19008 for v.
22
Solve -25*w - 3056 = 112*w - 0*w + 54*w for w.
-16
Solve 12420 = 1784*q + 183951 - 37043 + 61752 for q.
-110
Solve -750*z = -28396 + 5146 for z.
31
Solve -32323 = 2310*g + 99425 - 41890 + 53362 for g.
-62
Solve -173*o = -16300 + 26334 for o.
-58
Solve 584663 - 148296 = -4903*z for z.
-89
Solve -574*k + 30*k + 3034 = -8934 for k.
22
Solve 0 = -306*r + 273*r + 957 for r.
29
Solve 1377*n = 1487*n - 4950 for n.
45
Solve -39*p + 36*p + 480 = 94*p - 37*p for p.
8
Solve -496095 - 774431 = -2951*f - 7215*f - 20108 for f.
123
Solve -30*h - 563 = -27*h - 527 for h.
-12
Solve 15*v - 2020 - 2304 + 334 = -20*v for v.
114
Solve -28667*g + 29044*g = 10933 for g.
29
Solve -17694525*h + 72 = -17694519*h for h.
12
Solve 501*d + 178 = 222*d - 4286 for d.
-16
Solve 68 = 9*z - 45*z + 40*z for z.
17
Solve 6958 = -340*d - 852 + 1350 for d.
-19
Solve -70*y + 215*y = 2575 - 3590 for y.
-7
Solve 1044*r + 1062*r = -31590 for r.
-15
Solve -411*v - 1351 = -44*v - 23738 for v.
61
Solve -4629695 = 294*d - 4628225 for d.
-5
Solve -67294*k + 4394 = -67100*k - 1620 for k.
31
Solve 101*z - 2102 = 5*z + 1392 + 2842 for z.
66
Solve 895*y - 4178 = 1632 + 29095 for y.
39
Solve -44*w + 58*w - 254*w = -7440 for w.
31
Solve 15336 = 3862*y - 3974 for y.
5
Solve -9496 = 98*t - 12534 for t.
31
Solve -114*u = 345*u - 5*u - 10442 for u.
23
Solve -2551*o + 3066 = -2036 for o.
2
Solve -958*z + 28054 = 854*z - 2150*z for z.
-83
Solve -2375 = -99*g - 7209 - 2096 for g.
-70
Solve 0 = 836*d + 11951 + 20653 for d.
-39
Solve -271*v = -121*v + 19*v + 212*v + 57150 for v.
-150
Solve -3846*t - 714*t - 223440 = 0 for t.
-49
Solve 686*i - 6224 - 10026 = 5702 for i.
32
Solve -2871*i + 7577 = 1835 for i.
2
Solve 121*m - 156*m + 812 = -238 for m.
30
Solve 143*c - 485*c = -1287*c - 1556*c - 80032 for c.
-32
Solve 1225*u = -87*u - 23532 - 10580 for u.
-26
Solve 916*k + 17555 - 946 = 8*k - 69*k for k.
-17
Solve 4*n + 45448277 = 45448049 for n.
-57
Solve -21*x + 705*x = 25237 + 42479 for x.
99
Solve -34*g - 187*g = 204*g - 106*g - 11484 for g.
36
Solve 2891*i - 2901 = -49157 for i.
-16
Solve -27*a - 116*a - 2*a + 5480 = -1770 for a.
50
Solve -29241 = -741*y - 97413 for y.
-92
Solve 11102*z = 10994*z - 3348 for z.
-31
Solve 272*t + 66 + 93 = 53*t - 60 for t.
-1
Solve 951*d + 24613 + 7721 = 0 for d.
-34
Solve 0 = 591*t - 73*t + 1554*t + 771*t + 73918 for t.
-26
Solve 54*n - 62*n = 161 + 295 for n.
-57
Solve 102*l + 35*l = 27*l + 28*l - 5248 for l.
-64
Solve -60*p + 526 - 202 + 88 = -788 for p.
20
Solve -9487 = 234*b - 1765 for b.
-33
Solve -131*u - 982 = -157*u - 228 for u.
29
Solve -192*p - 2638 = 122*p + 6154 for p.
-28
Solve -351*o + 41*o - 3895 = -175 for o.
-12
Solve 824*q = 676*q - 2562*q - 284550 for q.
-105
Solve 0 = 2016*v - 2090*v + 3108 for v.
42
Sol


7 to the nearest integer?
28
What is the third root of 92295 to the nearest integer?
45
What is 6760 to the power of 1/3, to the nearest integer?
19
What is the cube root of 3300 to the nearest integer?
15
What is 1542 to the power of 1/2, to the nearest integer?
39
What is the square root of 5163 to the nearest integer?
72
What is the third root of 176 to the nearest integer?
6
What is the tenth root of 40589 to the nearest integer?
3
What is 3911 to the power of 1/6, to the nearest integer?
4
What is 2305 to the power of 1/2, to the nearest integer?
48
What is the third root of 36257 to the nearest integer?
33
What is the cube root of 21099 to the nearest integer?
28
What is 21300 to the power of 1/6, to the nearest integer?
5
What is the square root of 422 to the nearest integer?
21
What is the square root of 842 to the nearest integer?
29
What is the seventh root of 11282 to the nearest integer?
4
What is 1777 to the power of 1/3, to the nearest integer?
12
What is 1176 to the power of 1/3, to the nearest integer?
11
What is 67632 to the power of 1/9, to the nearest integer?
3
What is the third root of 68942 to the nearest integer?
41
What is 81946 to the power of 1/3, to the nearest integer?
43
What is 20741 to the power of 1/5, to the nearest integer?
7
What is the sixth root of 2600 to the nearest integer?
4
What is the cube root of 29762 to the nearest integer?
31
What is the square root of 9450 to the nearest integer?
97
What is 2779 to the power of 1/2, to the nearest integer?
53
What is the ninth root of 678 to the nearest integer?
2
What is the square root of 954 to the nearest integer?
31
What is 1177 to the power of 1/9, to the nearest integer?
2
What is the square root of 1952 to the nearest integer?
44
What is the third root of 45713 to the nearest integer?
36
What is the square root of 9060 to the nearest integer?
95
What is 2950 to the power of 1/3, to the nearest integer?
14
What is the square root of 161242 to the nearest integer?
402
What is the square root of 10336 to the nearest integer?
102
What is the cube root of 988 to the nearest integer?
10
What is 5278 to the power of 1/3, to the nearest integer?
17
What is the square root of 8379 to the nearest integer?
92
What is the third root of 329 to the nearest integer?
7
What is the tenth root of 5484 to the nearest integer?
2
What is 91604 to the power of 1/3, to the nearest integer?
45
What is the square root of 9977 to the nearest integer?
100
What is the square root of 2192 to the nearest integer?
47
What is 3022 to the power of 1/2, to the nearest integer?
55
What is the cube root of 9817 to the nearest integer?
21
What is 3571 to the power of 1/2, to the nearest integer?
60
What is 1963 to the power of 1/4, to the nearest integer?
7
What is the square root of 2146 to the nearest integer?
46
What is 2141 to the power of 1/3, to the nearest integer?
13
What is 4020 to the power of 1/2, to the nearest integer?
63
What is 81107 to the power of 1/5, to the nearest integer?
10
What is the tenth root of 19242 to the nearest integer?
3
What is the square root of 23270 to the nearest integer?
153
What is the third root of 41819 to the nearest integer?
35
What is the third root of 6595 to the nearest integer?
19
What is 14128 to the power of 1/3, to the nearest integer?
24
What is the fourth root of 1461 to the nearest integer?
6
What is the square root of 1744 to the nearest integer?
42
What is the cube root of 8353 to the nearest integer?
20
What is the cube root of 46597 to the nearest integer?
36
What is 6163 to the power of 1/7, to the nearest integer?
3
What is the square root of 13180 to the nearest integer?
115
What is the ninth root of 2083 to the nearest integer?
2
What is 10406 to the power of 1/5, to the nearest integer?
6
What is the third root of 1592 to the nearest integer?
12
What is 606 to the power of 1/7, to the nearest integer?
2
What is the square root of 5030 to the nearest integer?
71
What is the cube root of 86447 to the nearest integer?
44
What is the seventh root of 1970 to the nearest integer?
3
What is the fourth root of 1938 to the nearest integer?
7
What is the third root of 114716 to the nearest integer?
49
What is the square root of 1167 to the nearest integer?
34
What is the third root of 28783 to the nearest integer?
31
What is the third root of 4044 to the nearest integer?
16
What is the third root of 122576 to the nearest integer?
50
What is the square root of 8793 to the nearest integer?
94
What is the sixth root of 4474 to the nearest integer?
4
What is the cube root of 5899 to the nearest integer?
18
What is the square root of 99833 to the nearest integer?
316
What is 1821 to the power of 1/3, to the nearest integer?
12
What is the cube root of 4552 to the nearest integer?
17
What is the third root of 7031 to the nearest integer?
19
What is the square root of 927 to the nearest integer?
30
What is the fifth root of 4884 to the nearest integer?
5
What is 9568 to the power of 1/2, to the nearest integer?
98
What is 29877 to the power of 1/3, to the nearest integer?
31
What is the square root of 48079 to the nearest integer?
219
What is 485 to the power of 1/2, to the nearest integer?
22
What is the ninth root of 18736 to the nearest integer?
3
What is the square root of 2114 to the nearest integer?
46
What is the third root of 19465 to the nearest integer?
27
What is 2862 to the power of 1/3, to the nearest integer?
14
What is 1097 to the power of 1/2, to the nearest integer?
33
What is the seventh root of 872 to the nearest integer?
3
What is the square root of 9820 to the nearest integer?
99
What is 17104 to the power of 1/5, to the nearest integer?
7
What is the square root of 5653 to the nearest integer?
75
What is 5203 to the power of 1/6, to the nearest integer?
4
What is 706 to the power of 1/2, to the nearest integer?
27
What is 37666 to the power of 1/2, to the nearest integer?
194
What is the third root of 2023 to the nearest integer?
13
What is the square root of 92772 to the nearest integer?
305
What is the third root of 25936 to the nearest integer?
30
What is the cube root of 1594 to the nearest integer?
12
What is the square root of 31052 to the nearest integer?
176
What is the square root of 65885 to the nearest integer?
257
What is 1883 to the power of 1/3, to the nearest integer?
12
What is the square root of 881 to the nearest integer?
30
What is the third root of 700 to the nearest integer?
9
What is the cube root of 136720 to the nearest integer?
52
What is 7396 to the power of 1/2, to the nearest integer?
86
What is the fourth root of 10991 to the nearest integer?
10
What is the third root of 149920 to the nearest integer?
53
What is the fourth root of 14618 to the nearest integer?
11
What is the third root of 2149 to the nearest integer?
13
What is the cube root of 1814 to the nearest integer?
12
What is the fourth root of 1760 to the nearest integer?
6
What is 1965 to the power of 1/7, to the nearest integer?
3
What is 508 to the power of 1/5, to the nearest integer?
3
What is 28285 to the power of 1/2, to the nearest integer?
168
What is 6205 to the power of 1/3, to the nearest integer?
18
What is the eighth root of 2692 to the nearest integer?
3
What is 10778 to the power of 1/3, to the nearest integer?
22
What is the seventh root of 50083 to the nearest integer?
5
What is 2506 to the power of 1/10, to the nearest integer?
2
What is the cube root of 4237 to the nearest integer?
16
What is 39794 to the power of 1/3, to the nearest integer?
34
What is the tenth root of 12129 to the nearest integer?
3
What is 16000 to the power of 1/6, to the nearest integer?
5
What is 7117 to the power of 1/7, to the nearest integer?
4
What is the third root of 4752 to the nearest integer?
17
What is the third root of 76 to the nearest integer?
4
What is the third root of 850 to the nearest integer?
9
What is the tenth root of 1575 to the nearest integer?
2
What is the square root of 18506 to the nearest integer?
136
What is 285 to the power of 1/2, to the nearest integer?
17
What is the third root of 5456 to the nearest integer?
18
What is the square root of 857 to the nearest integer?
29
What is the square root of 2997 to the


2*t + 405. Let y(n) = n**2 + 19*n - 203. Give 3*g(b) + 5*y(b).
2*b**2 - b + 200
Let o(n) = -192*n + 4. Let q(g) = 769*g - 14. What is -22*o(w) - 6*q(w)?
-390*w - 4
Let t(b) = 363*b**2 - 21*b + 7. Let r(i) = 483*i**2 - 28*i + 9. What is 7*r(a) - 9*t(a)?
114*a**2 - 7*a
Let z(d) = 4*d - 6. Suppose 16 = -3*m - m. Let u(x) = 3*x - 5. Let v(o) = m*z(o) + 5*u(o). Let i(s) = 0 - 2*s + 2 - 6 + 1. Calculate -2*i(f) + 6*v(f).
-2*f
Let u(i) = -i + 7. Let n = 34760 - 34765. Let p(k) = -2*k + 13. Determine n*u(x) + 2*p(x).
x - 9
Let a(k) = -4*k - 4. Let x(w) = -2*w - 2. Let c = 234 - 173. Suppose -c = 8*u - 13. Calculate u*a(y) + 13*x(y).
-2*y - 2
Let o(h) = -2*h**3 - 5*h**2 - 4*h - 3. Let u(y) = 4*y**3 + 11*y**2 + 9*y + 6. Let a(k) = 16*k + 45. Let b be a(5). Let v = 129 - b. What is v*u(r) + 9*o(r)?
-2*r**3 - r**2 - 3
Let a(r) = -2*r**3 - 3*r**2 + 2*r. Let i(l) = -l**3 - l**2 - l. Let u(z) = -762*z - 5330. Let x be u(-7). Calculate x*i(b) - a(b).
-2*b**3 - b**2 - 6*b
Let w(l) be the third derivative of -7*l**4/24 - 4*l**3/3 - 154*l**2. Let y(n) be the second derivative of -4*n**3/3 - 9*n**2/2 + 8*n. Give 6*w(p) - 5*y(p).
-2*p - 3
Let s(v) = -v**3 + 3*v**2 + 1. Let z(c) = -3*c**3 - 399*c**2 + 2*c + 6. Calculate 6*s(k) - z(k).
-3*k**3 + 417*k**2 - 2*k
Let x(n) = 164*n - 129. Let z(q) = q + 17. Give -x(p) - 8*z(p).
-172*p - 7
Let t(y) be the second derivative of 3/10*y**5 + 156*y - 2*y**2 + 0*y**4 - 1 + 0*y**3. Let s(z) = -6*z**3 + 5. What is 4*s(h) + 5*t(h)?
6*h**3
Suppose 30*w - 28*w - 14 = 0. Let h = w + -5. Let d(p) = -21*p + 4*p**2 + 4 - p**2 - 8*p**2 + 6*p**2. Let j(b) = 4*b - 1. What is h*d(q) + 11*j(q)?
2*q**2 + 2*q - 3
Let m(w) be the first derivative of w**3/3 - w**2/2 + w + 1888. Let j = 20 + -19. Let u(f) = -2*f**2 + 3*f + 2. Give j*u(t) + 3*m(t).
t**2 + 5
Let r(j) = -6*j + 567. Let c(q) = -3*q + 276. What is -11*c(m) + 6*r(m)?
-3*m + 366
Let h(o) = -2*o**2 + 99*o + 4 + 98*o - 292*o + 96*o. Let s(w) = w**2 - 2. Give 4*h(g) + 9*s(g).
g**2 + 4*g - 2
Let l(g) = -49*g + 7. Suppose -53*j - 550 = 57*j. Let h(k) = 33*k - 5. Give j*l(f) - 7*h(f).
14*f
Let i(v) = 2*v**3 - 43512*v**2 + 8*v**3 + 43511*v**2 - 8*v**3. Let w(z) = -2*z**3 - 3*z**3 + 6*z**3. What is -2*i(s) + 3*w(s)?
-s**3 + 2*s**2
Let u(b) = 6*b + 4. Let h = 4511 + -4520. Let r(v) = -12*v - 9. Determine h*u(j) - 4*r(j).
-6*j
Let u(v) = 6*v**2 + 8*v + 1. Let a(r) = 3663*r**2 - r - 7321*r**2 + 3657*r**2. Determine 5*a(k) + u(k).
k**2 + 3*k + 1
Let i(s) = 2*s**3 + 6*s**2. Let f(m) = 2*m**3 + 5*m**2 - 863934*m + 863934*m. Let y be (-9 + -1)*3/6. Calculate y*i(b) + 6*f(b).
2*b**3
Let f(k) = -14*k**3 + 6*k. Let y(b) = -4*b**3 + 3*b**3 + 3416*b - 1 + 1 - 3415*b. Determine -f(m) + 6*y(m).
8*m**3
Let i(h) = -2*h + 4 + h + 0 + 2*h. Let r(q) = -1. Let l = -107 - -111. Suppose -l*d + 12 = -2*a, 3*d - 4*d = -5. Calculate a*r(n) + i(n).
n
Let w(z) = 19*z**3 - 3. Let k(p) be the third derivative of p**6/120 + p**3/6 + 5*p**2 - 59*p + 2. Determine 3*k(t) + w(t).
22*t**3
Let b(d) = 22*d + 619. Let o be b(-28). Let n(p) = 51*p**2 - 8*p - 3. Let y(f) = -17*f**2 + 3*f + 1. Give o*n(g) + 8*y(g).
17*g**2 - 1
Let m(d) = -4*d**2 - 7*d. Let w(j) = 2*j**2 + 3*j. Suppose -3*l - i + 21 = 0, 69*i - 73*i - 60 = -4*l. What is l*w(u) + 4*m(u)?
2*u**2 - u
Let u(b) = b**2 - 5*b - 5. Let w be u(5). Let q(x) be the first derivative of -2*x**2 + 5*x - 2027. Let h(p) = 3*p - 6. Give w*h(s) - 6*q(s).
9*s
Let l(m) be the first derivative of -m**3/3 + 361. Let a(o) = 5*o**2 + o. Let n(w) = w**2 - 14*w + 50. Let b be n(7). Determine b*a(h) + 2*l(h).
3*h**2 + h
Let n = -28 + 29. Let l(p) = -p**3 - p**2 + p - 1. Suppose 4 = y - 0, -5*q + 6 = -y. Let b(m) = -m**3 + 3*m**2 - 2*m + 2. What is n*b(u) + q*l(u)?
-3*u**3 + u**2
Let h(z) = 339040*z**3 - 10432*z**2. Let m(v) = -1299*v**3 + 40*v**2. Give -5*h(r) - 1304*m(r).
-1304*r**3
Let c(m) = -93337*m - 30. Let j(n) = -13334*n - 4. Give 2*c(u) - 15*j(u).
13336*u
Let j(q) = -q**2 + 48*q + 123. Let s(d) = -d**2 + 97*d + 202. Calculate 5*j(t) - 3*s(t).
-2*t**2 - 51*t + 9
Let b = -382 - -461. Let m = -76 + b. Let n(z) = 2*z**2 - 2. Let r = 4 - 2. Let t(v) = v**3 - 3*v**2 + v + 3. Determine m*n(f) + r*t(f).
2*f**3 + 2*f
Let o(c) = -5103*c - 1944. Let k(i) = 5*i + 2. What is -972*k(m) - o(m)?
243*m
Suppose -3*n + 18 = -0*n. Let f(g) = -1 - 1 + g - 3. Let x(k) = 0 - 1 - 5 + 5. Give n*x(u) - f(u).
-u - 1
Let g(y) = -1095*y**2 - 163*y - 3. Let x(s) = 1095*s**2 + 217*s + 4. Calculate 4*g(l) + 3*x(l).
-1095*l**2 - l
Let v(z) = 7*z + 5 - 5. Let x(c) = 5*c - 6. Suppose -37*a + 31*a - 36 = 0. Let u(m) = -9*m + 11. Let r(p) = a*u(p) - 11*x(p). What is -6*r(g) - v(g)?
-g
Let q(j) = 6*j**3 - 2*j**2 - 9*j - 8. Let t(v) = 3*v**3 - v**2 + v + 1. What is q(n) + 9*t(n)?
33*n**3 - 11*n**2 + 1
Let b(k) = -15*k**2 - 5*k + 11. Let h(a) = -2*a**2 - 21*a + 41. Let f(q) = q**2 + 4*q - 8. Let m(r) = -11*f(r) - 2*h(r). What is -3*b(l) + 7*m(l)?
-4*l**2 + l + 9
Let i(u) = -27*u - 3. Let p(k) = 117*k + 38. What is -4*i(z) - p(z)?
-9*z - 26
Let m(d) = 15*d - 24. Let z(k) = 2*k - 9. Give -m(h) + 5*z(h).
-5*h - 21
Let q(l) be the first derivative of 0*l + 13 + 2/3*l**3 + 0*l**2. Let g be (0/10 - (2 - -1))/(-3). Let s(a) = -a**2. What is g*q(w) + s(w)?
w**2
Let u(d) = 112*d**2 - 125*d + 3. Let k(p) = -111*p**2 + 189*p - 4. Determine -2*k(h) - 3*u(h).
-114*h**2 - 3*h - 1
Let o(f) be the second derivative of -3*f**5/20 - f**4/6 - 21*f**2/2 - 3*f - 181. Let j(m) = -13*m**3 - 8*m**2 - 83. Give 2*j(l) - 9*o(l).
l**3 + 2*l**2 + 23
Let f be -8 - (71 - 70)*(-8)/2. Let w(h) = 15*h + 29. Let x(u) = 7*u + 14. What is f*w(k) + 9*x(k)?
3*k + 10
Let y(h) = h. Let j(b) = -8*b + 1. Let k = -2 - -7. Suppose -54 = 304*a - 358*a. What is a*j(m) + k*y(m)?
-3*m + 1
Let a(f) = -2*f**2 - 4*f - 4. Let s be a(-2). Let b(m) be the first derivative of 3/2*m**2 - 35 + 0*m. Let k(z) = 8*z. What is s*k(p) + 11*b(p)?
p
Let d = -317 - -645. Let r = d - 329. Let j(a) = -4*a**3 - 2*a**2 + 2*a + 3. Let n(k) = k**3 + k**2 - 1. Calculate r*j(w) - 3*n(w).
w**3 - w**2 - 2*w
Let b(z) = z + 1. Let n = 37 - 65. Let m(s) = -178*s + 43*s - 140 + 54 + 100*s + 58. Let f(x) = n*b(x) - m(x). Let h(w) = -27*w. Give 15*f(r) + 4*h(r).
-3*r
Let b(m) = 1537*m**3 + 3*m**2 - 2. Let v(w) = 6151*w**3 + 12*w**2 - 9. Give -9*b(y) + 2*v(y).
-1531*y**3 - 3*y**2
Let t(z) = -z**2 + 11*z + 4. Let a(f) be the third derivative of -f**5/30 + 7*f**4/8 + 3*f**3/2 - 5*f**2 - 110*f - 3. What is 4*a(w) - 9*t(w)?
w**2 - 15*w
Let o(n) = -3*n**2 + 17*n + 1. Let z be o(0). Let u(w) = 12*w - 2. Let p(g) = g - 1. Give z*u(q) - 5*p(q).
7*q + 3
Let w(r) = -31*r**2 - 16*r + 5. Let q(v) = -15*v**2 - 9*v + 2. Determine 9*q(l) - 4*w(l).
-11*l**2 - 17*l - 2
Let n(p) = -3*p + 641. Let y(a) = -a**2 - a + 1. Determine n(z) + 2*y(z).
-2*z**2 - 5*z + 643
Let l(x) = -2463*x + 5. Let y(c) = -2447*c + 4. Give 4*l(h) - 5*y(h).
2383*h
Let r(f) = -f**3 + f**2. Let n(b) be the first derivative of -b**2/2 - 123. Suppose -4*w + 5*w + 4*o - 13 = 0, 14 = 2*w + 4*o. Determine w*r(l) + n(l).
-l**3 + l**2 - l
Let v(o) = -o**3 - o**2 + o + 1. Let l(z) = 4*z - 4*z**2 - 4*z**3 - 2*z + 2*z**2 - 2*z**3 + 2. Let g(n) = -59*n + 470. Let y be g(8). Give y*l(f) + 4*v(f).
8*f**3
Let q(z) = z**3 + z - 3. Let p(m) = -67*m**3 + 402*m - 1206. What is 5*p(g) - 2010*q(g)?
-2345*g**3
Let d(v) = 143*v**2 + 6*v + 47. Let s(t) = -73*t**2 - 2*t - 25. Give 2*d(l) + 5*s(l).
-79*l**2 + 2*l - 31
Let b(i) = -7*i**3 - 164*i**2 - 12. Let u(s) = 7*s**3 + 166*s**2 + 9. Calculate -3*b(n) - 4*u(n).
-7*n**3 - 172*n**2
Let s(f) = -f**3 + f**2. Let z(r) = r**3 - r - 3. Let l(d) = 11*d**3 - 3*d**2 - d - 1. Let m(t) = l(t) - z(t). Determine m(q) + 5*s(q).
5*q**3 + 2*q**2 + 2
Let i(q) = 13*q**2 + 762*q + 11. Let s(k) = 10*k**2 + 759*k + 8. What is -3*i(h) + 4*s(h)?
h**2 + 750*h - 1
Let z(t) = t**3 + 1. Suppose -52*g = -51*g + 1. Let b(m) = m**3 - 2*m**2 - m - 1. What is g*b(o) - z(o)?
-2*o**3 + 2*o**2 + o
Let v(l) = -24*l**2 + 11*l - 9. Let a(o) = -o**2 + 5*o - 5. Let n(f) = 2*a(f) - v(f). Let s(t) = t. Determine -n(z) - 2*s(z).
-22*z**2 - z + 1
Let w(h) = 4*h - 1. Let b(t) = -8*t + 3. Suppose -3*l - 12 = 3*z, 0 = -2*l - 4*z - 12. What is l*b(s) - 5*w(s)?
-4*s - 1
Let n(f) = f**3 + 2*f**2 - 4*f. Let m(p) = p**3 - 103*p**2 - 9*p. Give m(a) - 3*n(a).
-2*a**3 - 109*a


/2. Let v be (-2)/5*q + 3. Sort 5, v, 0.
v, 0, 5
Let w be -3 + 6 - (1 - 3). Put -1, w, 3 in ascending order.
-1, 3, w
Let w be (-195)/(-315) + 4/(-14). Let n = 0.2 + -0.7. Let g = -0.1 - n. Put 3, g, w in decreasing order.
3, g, w
Let w(x) = -x - 1. Let c be w(-3). Suppose 3*l + c = -7. Put -2, 4, l in decreasing order.
4, -2, l
Let y(l) = l**3 - l**2 + l - 3. Let m be y(0). Suppose -q - 2*q + 15 = 0. Sort m, -5, q.
-5, m, q
Let p = 1/42 - -9/14. Sort 0.1, 0.3, p in decreasing order.
p, 0.3, 0.1
Let b = 109/132 - 10/11. Sort -3/5, 0, b, 2/13.
-3/5, b, 0, 2/13
Let f = 1/40 - 83/120. Let u = 23.8 - 24. Put 4, u, f in decreasing order.
4, u, f
Let r be ((-75)/12)/5*-4. Sort 7, -3, r in decreasing order.
7, r, -3
Suppose 3*g - 4 = -2*y, 0 = -5*y - 5*g + 15. Let h = 3 + -6. Let b(r) = r - 7. Let t be b(6). Put t, h, y in descending order.
y, t, h
Let v = 0.2 + -0.3. Suppose -2*t - 4*i = -22 + 2, -t - 3*i + 12 = 0. Let c(j) = j**2 - 5*j - 1. Let a be c(t). Put a, 0.3, v in increasing order.
v, 0.3, a
Let g = -33.75 + 0.75. Sort g, -0.4, -0.5.
g, -0.5, -0.4
Let s = 10 - 7. Let w be (6/(-2) - -1) + s. Sort -7, w, -4 in decreasing order.
w, -4, -7
Let t(f) = f**3 - 14*f**2 - 14*f - 17. Let s be t(15). Let c be (-6)/4*(1 - -1). Put c, -5, s in ascending order.
-5, c, s
Suppose v = -4*v + 5*n + 45, -v - 4*n = 11. Sort -4, v, 1 in descending order.
v, 1, -4
Let o = 41.1 + -39. Let v = 2 - o. Sort 0, v, -1 in decreasing order.
0, v, -1
Let k = 7 - 6.7. Let m = k + -0.5. Let s = 12 + -11.9. Sort m, s, 1/2 in decreasing order.
1/2, s, m
Let l = -17.5 - -18. Sort -2/17, l, -2 in decreasing order.
l, -2/17, -2
Let l be -9*(-2 - -1)*1. Suppose -5*o + 63 - 18 = 0. Let h = o - l. Put -5, 3, h in descending order.
3, h, -5
Suppose -2*k + 12 = k. Suppose 2*b + 4*n = 18, -b + 6*b = -n + 18. Sort b, k, -2.
-2, b, k
Let p = -73 + 73.4. Put p, -2/9, -0.4, -1/10 in descending order.
p, -1/10, -2/9, -0.4
Let v = -13/6 - -7/3. Let s = 0.02 + -4.02. Let p = 6 + s. Put 0, p, v in decreasing order.
p, v, 0
Let w(f) = -f**3 - 8*f**2 - 7*f. Let b be w(-7). Suppose b = 4*d + d. Put d, 4, 3 in decreasing order.
4, 3, d
Let z = -1.02 + 0.02. Sort 2/9, 1, z in descending order.
1, 2/9, z
Suppose -o - 4*o = 25. Sort o, 1, -5/2.
o, -5/2, 1
Suppose 0 = k + 4*o + 3, k - o = -0*o - 3. Let s = 3 - 0. Put -5, s, k in increasing order.
-5, k, s
Let p = -0.2 + -3.8. Let s = 94.9 - 99. Let g = 2.1 + s. Put g, p, 0.1 in descending order.
0.1, g, p
Let h = 2 + -2. Suppose h = -4*i + 2 + 2. Sort -3, i, -4 in descending order.
i, -3, -4
Let x(g) = g**3 - 9*g**2 + 6*g + 11. Let p be x(8). Put 5, p, 3 in decreasing order.
5, 3, p
Let i(t) = -t + 5. Let c be i(7). Sort c, -5, 3 in increasing order.
-5, c, 3
Let i(b) be the third derivative of -b**5/60 + 5*b**3/6 - b**2. Let f be i(0). Let t be f/2*(-6)/(-5). Put t, 4, 1 in decreasing order.
4, t, 1
Suppose 0 = 2*f + 1 + 7. Let x = 3 + -2. Suppose -2*p - 12 = -6*p. Sort f, x, p in ascending order.
f, x, p
Let v be (-1 - (1 + -1))*4. Let x be 1 - (-36)/v - -3. Put x, 2, -1 in increasing order.
x, -1, 2
Let d = -12 - -11.3. Let i = 0.3 - d. Sort 3, i, 1/3 in descending order.
3, i, 1/3
Let w = 0.1 + -3.1. Let l = w - -3. Let p = -101/136 + -1/136. Sort l, p, -3/5.
p, -3/5, l
Let u(k) = -k**3 - 4*k**2 + 4*k - 8. Let h be u(-5). Put -5, h, 0.5 in decreasing order.
0.5, h, -5
Let r = 12.8 + -12.9. Put 4, r, 5, -7 in decreasing order.
5, 4, r, -7
Let h be (20 - 17)*4/(-2). Sort -4, -2, h in ascending order.
h, -4, -2
Suppose 2*a = -4*b, -2*a - b - 15 = -0*a. Let m = a + 7. Suppose -4*c - 9 + 28 = -j, 2*c - 7 = j. Put 5, m, c in ascending order.
m, 5, c
Let b(u) = u**2 + 2*u - 10. Let v be b(-5). Sort -3, v, -1 in descending order.
v, -1, -3
Let l be ((-3)/(-1) - 2)*-2. Let x = l - 2. Put -5, x, 1 in increasing order.
-5, x, 1
Suppose -2*y + 3 = -y. Let l = 17 + -30. Let g be l/y + 2/6. Sort -3, g, 3 in descending order.
3, -3, g
Let m(j) = -j**2 + 5*j + 3. Let u be m(6). Let c(b) = b**3 + 3*b**2 - 2*b - 4. Let h be c(u). Let i be 44/(-112) - (-2)/8. Put i, h, -2/3 in decreasing order.
h, i, -2/3
Let j(l) = -l - 3. Let g(b) = -3. Let m(n) = -4*g(n) + 3*j(n). Let s be m(2). Let x = -0.1 - 0.1. Put -2, x, s in ascending order.
s, -2, x
Let p(a) = 2*a - 8. Let w be p(4). Put -4, w, 5 in increasing order.
-4, w, 5
Let g = -1.6 + 1.1. Let y = 19/31 + -2/155. Sort y, g, 0 in descending order.
y, 0, g
Suppose -3*i = 3*q - 15, -11 = -0*q - 4*q - i. Let m be (0 - -1)/(-1*1). Sort m, q, 0 in descending order.
q, 0, m
Suppose -24 = 4*q + 2*l + l, 0 = -2*q - 2*l - 14. Put q, 5, 1 in descending order.
5, 1, q
Let b be 3 + (0 - 10/2). Sort b, 4, -1.
b, -1, 4
Let v(j) = j - 10. Let g be v(10). Sort g, 3, 2 in decreasing order.
3, 2, g
Let b = 2.5 - 4.5. Suppose 2*o = -5*g + 18, -2 = 4*o - 6*o + 3*g. Put o, -3/7, b in decreasing order.
o, -3/7, b
Suppose -4*n = -19 + 3. Sort n, 0, 2 in increasing order.
0, 2, n
Let h be -3*((-2)/(-2) + 0). Let l = -0.81 + 0.41. Sort h, 0.5, l in increasing order.
h, l, 0.5
Let m be 3/9 - (-10)/(-6). Let f = 0.4 - 0.6. Put 0.4, m, f in decreasing order.
0.4, f, m
Let y = 1071/5 + -213. Sort -1, y, -5.
-5, -1, y
Let o = 0.08 + -0.12. Sort -0.3, -3, o, 4.
-3, -0.3, o, 4
Let s = -95 - -86. Sort 9, 0.2, s, 3 in descending order.
9, 3, 0.2, s
Suppose -a = a + 8. Let l(j) = j**2 - 9*j - 5. Let s be l(10). Suppose -s*v = 4*f - 11, 5*v - 3*v - 6 = -2*f. Put a, f, -5 in ascending order.
-5, a, f
Suppose z = p + 2, 3*z + 0*p - 20 = -4*p. Let l be (2/z)/(3/(-6)). Let o(y) = -y**2 - 6*y + 2. Let s be o(-6). Sort l, -5, s in ascending order.
-5, l, s
Suppose -f = -2*k - 36, k - 2*f + 17 + 4 = 0. Let v = k - -13. Put 5, 2, v in decreasing order.
5, 2, v
Let a be (1 - 2)*26/2. Let v = -13 - a. Sort -11, v, -4.
-11, -4, v
Let r be 4/(-3)*3/(-2). Suppose -r*z = -15 - 15. Let c be 63/z + (-1)/5. Put -4, 5, c in ascending order.
-4, c, 5
Suppose -5*g - 4*c = -2, -4*c + 18 = -2*g - g. Sort -3, 1, g in descending order.
1, g, -3
Let h be 7 + -9 - -2*8. Suppose -4*w + 8 = -2*q, -1 = -3*w - 3*q + h. Sort w, 6, 0 in decreasing order.
6, w, 0
Let p = 37.4 + -37. Let h = -2.7 - -3. Put h, p, 0.1 in ascending order.
0.1, h, p
Suppose w = 7 + 21. Let u be 103/w - 3 - 0. Let a = 3/7 - u. Sort 5, a, -1 in ascending order.
-1, a, 5
Let q = 0.2 - 0.5. Let t = 13.6 + -13. Let g = t - 0.3. Put 4/7, q, g in descending order.
4/7, g, q
Let t = 0 + 0.3. Suppose -2 = -5*a + 3*a. Put -1, a, t in increasing order.
-1, t, a
Suppose m + 2*m + 3*m = 0. Let p = -4 + 8. Put p, -1, m in descending order.
p, m, -1
Let d(x) be the third derivative of x**5/60 - x**4/6 - 2*x**3/3 - x**2. Let r be d(4). Put 1, r, 5 in descending order.
5, 1, r
Let a(x) = x**3 + 6*x**2 + 2. Suppose -18 + 0 = 3*k. Let v be a(k). Suppose d + 1 = 0, 2*g + 0*d + 4 = -4*d. Put v, -2, g in descending order.
v, g, -2
Suppose -5*i + 20 = -i. Suppose 5*u = -i - 20. Let o = 4/15 + 7/30. Put u, o, -0.4 in ascending order.
u, -0.4, o
Let n(j) = -j + 3. Let h be n(-1). Sort h, -1/4, -3 in increasing order.
-3, -1/4, h
Let x = 4 + -14. Let s be 4/x*(-7)/(-14). Sort s, -4, 5 in ascending order.
-4, s, 5
Let l be (-12)/10*(-5)/2. Suppose 2*s - 4*i = 224, -3*s + l*i + 330 = -0*i. Let h = 542/5 - s. Put -4, -3, h in descending order.
h, -3, -4
Let r be 549/(-61) - (-3 - (1 - 1)). Sort r, 1, -1, 4 in ascending order.
r, -1, 1, 4
Let u be (-8)/(-12)*(-5)/(170/6). Sort u, 3, -2/7, -5.
-5, -2/7, u, 3
Let s = -0.01 - 0.49. Let q = 1 + s. Let f(g) = -g - 2. Let d be f(-6). Put -3, q, d in increasing order.
-3, q, d
Suppose 7*d - 15 = 2*m + 2*d, 0 = m - 4*d + 15. Put m, -3, -5 in descending order.
m, -3, -5
Let u(y) = 11*y. Let b(p) = -4*p. Let w(r) = 8*b(r) + 3*u(r). Let g be w(-3). Let m = -2.6 + 2.7. Sort 1, m, g.
g, m, 1
Let r = -0.2 - -0.6. Let x = 8.03 - 8. Let j = -2.03 + x. Put j, r, 1/4 in descending order.
r, 1/4, j
Let l(c) = 2*c - 1 + c**2 + 0*c + 2*c. Let t be l(-5). Suppose -2*z - 2*a - t = -7*z, -5*z + 3*a = -1. Put 0, 3, z in decreasing order.
3, z, 0
Suppose 0 = 5*k + 15. Let g be -3 + (3 - (0 + k)). Put g, 4, -2/9 in ascending order.
-2/9, g, 4
Let v(b) = 3*b**3 - b**2 - b - 1. Let y be v(-1). Let u be (2/y)/(2/16). Sort 0.4, 3/5, u in descending order.
3/5, 0.4, u
Suppose 0 = -5*q - 5, 4*q + 9 + 6 = -w. Put


late a(p(r)).
-13068*r**4
Suppose t - 5 = -17. Let w be (1 + 2)/((-18)/t). Let x(f) = 0 - 4*f**2 + w*f**2 + 0. Let c(d) = -10*d. What is c(x(k))?
20*k**2
Let i(m) = 163*m**2. Let v(p) = -p. What is i(v(w))?
163*w**2
Let c(k) = -k. Suppose -6 + 12 = 3*y. Let u(o) = -5*o + 3 + y - 5. Determine c(u(d)).
5*d
Let s(m) = -5*m**2 + 0*m**2 + 3*m**2. Suppose -8 = -2*o - 4. Let l(i) = -o + 2 - 7*i**2. Give s(l(z)).
-98*z**4
Let b(n) = -20*n. Let q(l) = -16*l**2 + 5*l. Determine b(q(t)).
320*t**2 - 100*t
Let a(s) = -3*s. Let j(d) be the first derivative of -21*d**2/2 - 2. Determine a(j(n)).
63*n
Let o(y) = y**2. Let s(h) = 2*h + 6*h + 32*h. What is s(o(a))?
40*a**2
Let p(i) = 3*i. Let u(x) = -10*x - 11. Determine u(p(m)).
-30*m - 11
Let p(a) = -16*a. Let d(m) be the second derivative of -m**4/12 + 14*m. Calculate p(d(x)).
16*x**2
Let u(w) = -5*w**2 - 6*w. Suppose 0*p + 5 = p. Let l(d) = 4*d**2 + 5*d. Let r(o) = p*u(o) + 6*l(o). Let y(b) = -b + b - b + 0. What is y(r(t))?
t**2
Let v = 10 - 10. Let k(n) = -8*n + v*n + 0*n - 3*n. Let b(x) = 2*x. Give b(k(t)).
-22*t
Let i(s) = 12*s**2 + 417. Let o(t) = 3*t**2. Calculate o(i(u)).
432*u**4 + 30024*u**2 + 521667
Let z(d) = -1582*d + 11*d**2 + 1582*d. Let o(p) = 2*p. Calculate z(o(t)).
44*t**2
Let r(g) = g. Let h be 105/(-6)*(-12)/10. Let u(t) = -17*t - h*t + 35*t. What is u(r(b))?
-3*b
Let s(y) = 3*y**2. Suppose 3*x + t = -3*t - 12, -t = -3*x + 3. Let d(i) be the second derivative of 2*i - 1/3*i**3 + 0*i**2 + x. What is d(s(r))?
-6*r**2
Let b(h) = 5*h**2 - 7*h + 7. Let o(j) = -3*j**2 + 4*j - 4. Let r(s) = -4*b(s) - 7*o(s). Let l(v) = -3*v**2. Determine l(r(z)).
-3*z**4
Let x(c) be the first derivative of -2*c**3/3 + 2. Let r(b) be the second derivative of -b**3/6 - 4*b. Give r(x(h)).
2*h**2
Suppose g + 1 = 2*x, 0 = -x + 2*g - 1. Let p(b) = -7*b - 6. Let d(u) = u + 1. Let y(w) = x*p(w) + 6*d(w). Let o(j) = -j**2. What is o(y(a))?
-a**2
Let b(d) = -55*d**2. Let n(x) = -3*x. Give n(b(j)).
165*j**2
Let t(c) = 2*c. Let o = -8 + 5. Let h(a) = a**3 + 4*a**2 + 4*a + 4. Let k be h(o). Let m(f) = k + f - 1. What is m(t(w))?
2*w
Let h(a) = 11*a**2 + 39. Let m(z) = -3*z. Determine h(m(g)).
99*g**2 + 39
Let g(r) = 4*r**2 + 16*r. Let q(n) = n. Calculate q(g(s)).
4*s**2 + 16*s
Let d(h) = 2*h. Let o(b) = -331*b. What is d(o(g))?
-662*g
Let y(w) = 2*w**2. Let x(m) be the second derivative of -m**5/60 - 3*m**2/2 - 4*m. Let f(r) be the first derivative of x(r). Determine y(f(o)).
2*o**4
Let y(x) be the second derivative of -x**5/60 - 2*x**2 + 2*x. Let k(z) be the first derivative of y(z). Let m(f) = 3*f. Determine k(m(a)).
-9*a**2
Suppose 4*c + 2 = 5*c. Let i = 7 + -4. Let b(m) = -i*m - m + c*m. Let k(f) = -f**2. Determine b(k(g)).
2*g**2
Let k(n) = 4*n**2. Let q(i) = 18*i. Calculate k(q(d)).
1296*d**2
Let q(y) be the third derivative of -y**4/24 - 7*y**2. Let o = 4 - -4. Let s(a) = -8*a + 5*a**2 + o*a. Calculate s(q(h)).
5*h**2
Let i(q) = 3*q**2 - 1. Let y be i(1). Let s(p) = 3*p - 3*p - 4*p**y + 3*p**2. Let l(z) = -3*z**2. Calculate l(s(n)).
-3*n**4
Let h(c) = -7*c**2. Let g(p) = -2*p**2 - p**2 + 2*p**2 + 0*p**2. Calculate h(g(l)).
-7*l**4
Let s(p) be the second derivative of p**4/6 - 5*p. Let k(u) = 11*u. Let n(l) = 12*l. Let y(t) = -3*k(t) + 2*n(t). Determine y(s(x)).
-18*x**2
Let l be 7/14 + 2/(-4). Let t(x) be the third derivative of 0*x**4 - 1/30*x**5 + l*x + 0*x**3 + 0 + x**2. Let h(g) = -g. What is t(h(w))?
-2*w**2
Let r(k) = -2*k**2. Let b(f) = 10*f**2. Let a(s) = -3*b(s) - 14*r(s). Let x(m) = -13*m**2. Calculate x(a(h)).
-52*h**4
Let b(d) = 1686*d**2. Let g(u) = -u. Give b(g(m)).
1686*m**2
Let u(a) = 2*a**2. Let b(r) = 2*r**2 + 27. Calculate u(b(x)).
8*x**4 + 216*x**2 + 1458
Let j(w) = w**2. Let z(a) = a**3 - 6*a**2 - 7*a + 8. Let c be z(7). Let v(d) = -d + d - c*d**2 + 6*d**2. Determine v(j(b)).
-2*b**4
Let n = -1 + 6. Suppose b + n = 2*o, -2*o - o = 4*b - 2. Let x(r) = 28 + o*r**2 - 28. Let q(w) = 6*w. Determine x(q(a)).
72*a**2
Let z(r) = -r**2. Let h(c) be the second derivative of -c**4/12 - 10*c**3/3 - 2*c + 4. Give z(h(i)).
-i**4 - 40*i**3 - 400*i**2
Let p(f) = -30*f**2 - f. Let g(i) be the first derivative of -i**2/2 + 24. What is g(p(o))?
30*o**2 + o
Let l(g) be the third derivative of g**4/12 - g**2. Let t(c) = 5*c**2. Calculate t(l(z)).
20*z**2
Let r(o) = 2 + 8 - o - 10. Let v(z) = -13*z. Calculate v(r(b)).
13*b
Let m(k) be the third derivative of k**4/4 + 9*k**2. Let i(a) = -3*a**2. Determine i(m(u)).
-108*u**2
Let u(t) = -11*t. Let o(b) = 65*b. Let w(k) = 6*o(k) + 35*u(k). Let i(p) = 12*p. Determine w(i(m)).
60*m
Let q(n) = -n**2 + 7*n - 8. Let i be q(6). Let v(a) = -7*a - 5. Let h(r) = 3*r + 2. Let b(t) = i*v(t) - 5*h(t). Let p(s) = -s**2. Give p(b(f)).
-f**2
Let k(l) be the first derivative of l**2/2 + 2. Let v be (-12)/42 - (-158)/14. Let c(t) = -11 + v - t. What is c(k(p))?
-p
Let x(z) be the first derivative of -4*z**2 + 1. Let i(w) = w**2. Determine x(i(m)).
-8*m**2
Let j(x) = x - 1. Let w(t) = -6*t + 4. Let d(i) = 4*j(i) + w(i). Let s be (-1)/(-3 - 40/(-14)). Let u(a) = s*a - 8*a + 2*a. Calculate d(u(r)).
-2*r
Let v(x) = 2*x**2. Suppose 21 + 14 = 5*q. Let s(j) = -7*j - 4. Let i(k) = 14*k + 7. Let o(b) = q*s(b) + 4*i(b). Determine v(o(u)).
98*u**2
Let j(n) = 153*n**2. Let h(f) = f**2. Determine h(j(u)).
23409*u**4
Let g(o) be the second derivative of 0 - 1/6*o**3 + 0*o**2 + o. Let p(q) = -3*q. Calculate p(g(r)).
3*r
Let v(t) = -15*t**2 + 84*t. Let b(h) = 2*h**2. What is v(b(n))?
-60*n**4 + 168*n**2
Let m(r) = -3*r. Let w(a) = -8*a**2. Let y(b) = -b**2. Let j(g) = w(g) - 5*y(g). What is j(m(k))?
-27*k**2
Suppose 5*i = 3*i + 6. Let n(j) = -107 - i*j + 107. Let d(v) = 5*v - 9. Let l(c) = -c + 2. Let t(a) = 4*d(a) + 18*l(a). Determine t(n(h)).
-6*h
Let h be (-25)/(-7) - (-16)/(-28). Let o(p) be the third derivative of 0*p + 0 + h*p**2 + 0*p**4 + 1/60*p**5 + 0*p**3. Let j(c) = 3*c. What is o(j(b))?
9*b**2
Let c(z) = -17568*z + 1. Let f(d) = 2*d**2. What is c(f(w))?
-35136*w**2 + 1
Let s(y) = 2*y**2. Let w(q) = 10044*q**2. Give s(w(t)).
201763872*t**4
Let i(b) be the first derivative of 0*b**3 + 1 + b**3 + 2. Let d(u) be the first derivative of -u**3/3 - 1. Determine d(i(m)).
-9*m**4
Let i(c) = -c. Suppose 0 - 15 = 3*k, -4*k - 18 = x. Let l(o) = -5*o**2 + 3*o**x + 0*o**2 + 4*o**2. Give i(l(t)).
-2*t**2
Let l(q) = 2*q**2. Let k(w) = 4*w**2 - 3*w - 3. Let z(j) = j**2 - j - 1. Let s(y) = y**2 + 2*y - 2. Let u be s(-3). Let x(p) = u*k(p) - 3*z(p). Give l(x(b)).
2*b**4
Let u(h) be the second derivative of -h**4/6 - h**3/6 - 17*h. Let m(q) = -2*q**2. Determine m(u(l)).
-8*l**4 - 8*l**3 - 2*l**2
Let g(t) = 7*t. Let r(o) = 5*o**2 + 4*o + 4. Let w(b) = 4*b**2 + 3*b + 3. Let f(v) = 3*r(v) - 4*w(v). Determine g(f(l)).
-7*l**2
Let d(s) = -15*s**2. Let b(a) = 30*a**2. Calculate d(b(r)).
-13500*r**4
Let i(s) = 43*s**2. Let b(n) = -5*n. Calculate b(i(r)).
-215*r**2
Let m(p) = -16 + 7*p**2 + 39 - 23. Let s(v) = -2*v. What is s(m(j))?
-14*j**2
Let c be 0 + (-3 - -3) + 2. Let v(u) = -u**2 + 4*u**2 - 5*u**c. Let m(p) = 3*p**2 - 2*p**2 - 4*p**2. Calculate m(v(i)).
-12*i**4
Let k(t) = t**2. Let y(v) = 8*v**2 + 7*v. Suppose 3*o = 2*o - 2. Let w(j) = 3*j**2 - 2*j**2 + 0*j**2 + j. Let f(h) = o*y(h) + 14*w(h). Calculate k(f(q)).
4*q**4
Let q(n) = 1 - 1 - 3*n. Let d(o) = -98 + 48 + 50 - 4*o**2. Give q(d(u)).
12*u**2
Let g(v) = 5*v. Let a(d) = 2*d**2 + 2*d**2 - d**2. Determine a(g(b)).
75*b**2
Let s(l) = -l. Let h(y) = 25*y**2 + 4. Let z(p) = -p**2 + 1. Let m(o) = -h(o) + 4*z(o). What is s(m(a))?
29*a**2
Let r(q) be the second derivative of q**3/3 + q. Let p(h) be the first derivative of -11*h**2/2 - 13. Calculate p(r(v)).
-22*v
Let d(m) = -3*m. Let z(t) = 82*t**2. What is z(d(h))?
738*h**2
Let y(t) = -5*t**2. Let m(g) = -212*g - 2. What is y(m(u))?
-224720*u**2 - 4240*u - 20
Let g(v) = 4*v. Let m(d) be the third derivative of d**4/6 - 13*d**2. Calculate m(g(b)).
16*b
Let g(q) be the third derivative of q**4/24 + 2*q**2. Let n(k) = 18*k. Determine g(n(d)).
18*d
Let j(n) = -n**2 + 2 - 2. Let u be (0 + -3)*(-5)/3. Let b(t) = 5 - t - u. What is j(b(x))?
-x**2
Let i(o) = -55*o**2 + 25*o**2 + 31*o**2. Let l(b) = 14*b. Calculate i(l(x)).
196*x**2
Let w(z) be the third derivative of z**4/12 + 4*z**2. Let o(y) = 16 - y**2 - 16. Determin


der when m is divided by 33?
31
Calculate the remainder when 153 is divided by (-83)/(-83)*(51 - (2 - 4)).
47
Suppose 3*j - 2*j = 6. Suppose -10 = u - j*u. Calculate the remainder when 1/u*6 - -43 is divided by 16.
14
Let w(d) = d**3 + 9*d**2 + 4*d + 2. Let b be w(-5). Suppose -b = -3*x - 22. Calculate the remainder when 79 + -3*8/12 is divided by x.
17
Suppose -12*a = -11*a + 2. What is the remainder when a/(12/(-2))*18 is divided by 2?
0
Calculate the remainder when 349 is divided by (-2)/24*4*(1 + -97).
29
Suppose -5*t = 0, 5*p + 440 - 130 = 4*t. Calculate the remainder when (1 + (-7 + 1 - -4))*p is divided by 11.
7
Let p(x) = -7*x + 15. Let q be 99/21 + 2/7. What is the remainder when 0 + q/((-10)/(-4)) is divided by p(2)?
0
Let w = 15 - 11. Suppose 5*t - 170 = -3*p - 42, -2*t + w*p + 72 = 0. What is the remainder when 223 is divided by t?
27
Let a = 1 + 4. Suppose 4*s - 3*s - 59 = 0. Let v = s - 42. Calculate the remainder when v is divided by a.
2
Let z = -92 + 37. Let b = 10 - z. Let p = -1 - -18. Calculate the remainder when b is divided by p.
14
Let y(u) = 4*u - 37. What is the remainder when y(21) is divided by 4?
3
Let z = 75 - 71. Suppose -5*i + h = -1439, h - z = 2*h. What is the remainder when i is divided by 36?
35
What is the remainder when 5/(5/(-4)) - -181 is divided by 63?
51
Let a(o) = 2 - 2*o**2 + o**2 - 15 + 13*o. Let z be a(10). Calculate the remainder when 11 is divided by 21/4 + z/(-68).
1
Let a = -169 - -93. Let p = 83 + a. Calculate the remainder when p is divided by 2.
1
Let h = 93 - 173. Let w = 82 + h. What is the remainder when ((-1)/1)/((-3)/15) is divided by w?
1
Let t be (-92)/(-5) - (-3)/5. Let r = -15 + t. Let x = 1 + r. Calculate the remainder when 17 is divided by x.
2
Suppose -4*a = -2*o + o - 22, -o + 23 = 5*a. Suppose 2*n - 3*x = 67, 0 = -4*n + 4*x + a + 119. What is the remainder when 77 is divided by n?
25
Suppose -10*z - 25 = -5*z. Let b = z - 7. What is the remainder when 2 is divided by -1 + (-4)/(16/b)?
0
Let x(d) = 2*d**2 - 6*d + 6. Let y(p) = p**3 - 7*p**2 + 9*p - 15. Let m be y(6). What is the remainder when 9 is divided by x(m)?
3
Let n(u) = -5*u + 313. Calculate the remainder when n(22) is divided by 34.
33
Suppose -813 = -15*a + 222. Suppose s + 5 + 10 = 0. Calculate the remainder when a is divided by 24/(-10)*s/2.
15
Let n = -41 - -44. Suppose 0 = -h + n*y + 32 - 7, -5*h + 2*y = -112. Calculate the remainder when h is divided by 6.
4
Let x(v) = -v + 5. Let i be (-9)/(-6)*(-128)/(-6). Suppose 2*c - i = -0. Calculate the remainder when c is divided by x(-4).
7
Suppose -z + 3*z - 98 = 0. Suppose -64 = -4*a - 4*t, -a + 5*a - z = -t. Let v(w) = -w**2 + 9*w + 11. Calculate the remainder when v(8) is divided by a.
8
Suppose 2*x - 5*x + 60 = 0. Let s = -108 - -115. Calculate the remainder when x is divided by s.
6
Let i(z) = -2*z**2 - 19*z + 11. Calculate the remainder when 100 is divided by i(-8).
30
Let t(s) = 5*s + 25. Let m be t(-4). Suppose 2*b + 53 = 3*y, b = m*y + 5*b - 103. What is the remainder when 37 is divided by y?
18
Let g(l) = -55*l**3 - l**2 + 1. Suppose 0 = -4*f - 4 - 0. Let y(w) = 15*w**2 - 2*w + 1. What is the remainder when g(f) is divided by y(1)?
13
Let h(f) = -28*f**2 - 2*f + 7. Let q be h(2). Let x = -61 - q. Calculate the remainder when x is divided by 17.
14
Let v(j) = 4*j + 2*j - 1 - 10*j. What is the remainder when 23 is divided by v(-2)?
2
Suppose 3*v - 14 = 61. Let f = -6 + v. What is the remainder when f is divided by 11?
8
Let d(t) = 5*t**2 - 4*t - 1. Let f be d(2). Let j(u) = -u + 28. Suppose 0 = -s - 5*z + 1 + 74, 0 = -4*z + 20. What is the remainder when s is divided by j(f)?
16
Suppose -8*v - 25 = -353. Calculate the remainder when 237 is divided by v.
32
Let q(m) = -m**2 - 16*m + 9. Let r be q(-14). Suppose 8*w = 35 + r. What is the remainder when 43 is divided by w?
7
Suppose -2*j + 26 + 12 = 0. Suppose -m + 6 = -v, -2*m + 21 - 75 = 4*v. What is the remainder when v + 68 - ((-2)/(-1))/2 is divided by j?
18
Let l = -56 + 61. Suppose 0 = -2*d + 2*w + 56, 4*d - 2*w = -l*w + 98. What is the remainder when 127 is divided by d?
23
Suppose -8*l + 2*l + 144 = 0. Calculate the remainder when 83 is divided by l.
11
Suppose 2*f - 318 = -5*m, -5*f + 117 = -2*m - 620. Calculate the remainder when f is divided by 52.
45
Let u(c) be the first derivative of -c**3/3 - 23*c**2/2 + 6*c + 17. What is the remainder when u(-20) is divided by 23?
20
Suppose -3 = -j + 1. Let d = j + 19. Suppose u + 203 = 3*k, 45 = -4*k - 4*u + 305. What is the remainder when k is divided by d?
21
Let d(p) = -2*p - 17. Let r be d(-12). Suppose -2*l + r*l - k - 641 = 0, 0 = -2*l + k + 254. Calculate the remainder when l is divided by 13.
12
Let l be 65/30 + 1/(-6). Let p = -12 + l. Calculate the remainder when 3 is divided by p/(-8) + (-6)/24.
0
Let i(u) = 2*u + 7. Suppose -2*s + 1 = q, 5*q - 17 = -2*s - 2*s. Let d = -13 - -19. Calculate the remainder when i(q) is divided by d.
5
Let s = 58 + -43. Suppose -s*n = -10*n - 55. What is the remainder when 30 is divided by n?
8
Let v(u) = -u**2 - 30*u + 9. Let n be v(-30). What is the remainder when (3 - 7)/((-3)/n) is divided by 6?
0
Let f be 2*(1 - 3) - -3. Calculate the remainder when 28 is divided by 5/3*(8 - f).
13
Let c = 43 + -7. Suppose 0 = v + 4*w - 62, 27 + 119 = 2*v - 3*w. Calculate the remainder when v is divided by c.
34
Let a = -20 + 25. Suppose 0 = a*w - 36 - 34. What is the remainder when 68 is divided by w?
12
Let m = -21 + 23. Suppose m*f + 11*f - 559 = 0. What is the remainder when 211 is divided by f?
39
Let f = 29 + -19. Suppose -x = i + 8, x - 8 = i + 2. Calculate the remainder when 2 + i/5 - 89/(-5) is divided by f.
8
Suppose 2*o = 5 - 1. Suppose 2 = s - 3*s, -4*s - 92 = -o*r. What is the remainder when r is divided by 25?
19
Calculate the remainder when (4 - 4)/(-3) - -145 is divided by 77.
68
Let f be 0/(3 + 1)*-1. Suppose f = 2*j - 30 - 10. Suppose -5*z = -r - j, -3*r + 7*r = 5*z - 5. Calculate the remainder when 14 is divided by z.
4
Let d(s) = 13*s**2 + 7*s + 8. Let n be 4/10*(0 - 35)/7. What is the remainder when d(n) is divided by 3?
1
Suppose 4*w - 19 = -3. Calculate the remainder when 49 + 16/w + -1 is divided by 27.
25
Let b = -90 - -40. Let r be b*(88/(-20) + 4). Suppose 4*n - r = 20. What is the remainder when 39 is divided by n?
9
Suppose -4*o - 20 = -4*q, q + 15 = -28*o + 33*o. Calculate the remainder when 19 is divided by q.
9
Suppose v + 6 = -4*g + 35, 5*g - 52 = 4*v. Suppose 0 = -g*u + 63 + 49. Suppose 9*b - 7*b = u. Calculate the remainder when 13 is divided by b.
6
Let c(f) = -f**2 - 5*f + 8. Suppose -p + 5*i + 14 = 0, 0 = 4*p + i - 2*i + 20. Calculate the remainder when 3 is divided by c(p).
1
Let y = 2 - -8. Suppose 43*x - 4*x = 234. Calculate the remainder when y is divided by x.
4
Suppose d = i - 11, 4*d = 5*d - 2*i + 13. Let o be ((-30)/d)/(2/3). What is the remainder when 39 is divided by 3/5 - (-47)/o?
9
Let o(b) = 12*b + 31. Calculate the remainder when 445 is divided by o(-2).
4
Suppose -4*m + 0*m = -4*n + 200, 5*n - 2*m - 265 = 0. What is the remainder when 1263 is divided by n?
53
Suppose -3*k + 77 = -4*a - 79, 5*a + 184 = k. Let y = 48 + a. Calculate the remainder when y is divided by (14/4)/(1/2).
5
Let p be (-3)/(-21)*2*7. Let c = p - -14. Calculate the remainder when 29 is divided by c.
13
Let p = -438 + 478. Calculate the remainder when p is divided by 4.
0
Let u(n) = n**2 - 24*n + 5. Let x be u(24). What is the remainder when 3 + (-1 - -4) + (-15)/x is divided by 2?
1
Suppose v + 3*t = -4*v + 1493, -2*t = 3*v - 896. Suppose -10*i + 62 + v = 0. What is the remainder when 107 is divided by i?
35
Let l(t) = -6*t**3 + 49*t**2 - 6*t + 12. What is the remainder when 123 is divided by l(8)?
11
Let p be -2 + 10/3 + (-2736)/27. Let h = p - -131. Calculate the remainder when 154 is divided by h.
30
Let l = -171 + 499. Suppose -3*f + 233 = -l. Calculate the remainder when f is divided by 47.
46
Let l = 1 - -11. What is the remainder when 21 is divided by l*(-3 + (-28)/(-8))?
3
Let n(m) = 3*m**2 - 4*m + 5. Let i(h) = 6*h**2 - 7*h + 10. Let y(r) = -2*i(r) + 5*n(r). Let k(j) = -j. Calculate the remainder when y(4) is divided by k(-8).
5
Suppose -156 = -0*h + 4*h. Calculate the remainder when 8 is divided by (-