**2*(g - 77)*(g - 1)*(g + 2)
Let r(a) be the first derivative of a**3 + 35 + 2*a + 5/2*a**2. Factor r(g).
(g + 1)*(3*g + 2)
Suppose 13/3*n**2 - 8 + 698/9*n = 0. What is n?
-18, 4/39
Let f be (-4508)/(-1470) + (-1)/(9/6). Factor -f*y**4 - 2/5*y**5 + 64/5 + 96/5*y - 16/5*y**3 + 32/5*y**2.
-2*(y - 2)*(y + 2)**4/5
Let b be -4 - ((-6)/(-16)*-1 - 225/40). Let p(m) be the first derivative of -13/3*m**3 - 8 + 5/2*m**b + 7/4*m**4 + m. Let p(i) = 0. What is i?
-1/7, 1
Suppose 3 = -f + 4*l, 8*f + l + 8 = 10*f. Suppose -1 = -2*m - m - f*b, 2*m - 3 = -b. Find k such that -1/6*k + 0 + 0*k**m + 1/6*k**3 = 0.
-1, 0, 1
Let f(q) be the second derivative of 5*q**7/126 - 22*q**6/9 + 50*q**5 - 6475*q**4/18 + 20995*q**3/18 - 1805*q**2 - 10128*q. Determine a so that f(a) = 0.
1, 2, 3, 19
Let j be (-86)/(-42) - ((-1476)/4920)/((-9)/10). Let -30/7 - 32/7*m**4 + j*m**3 + 31/7*m + 5/7*m**5 + 110/7*m**2 = 0. Calculate m.
-1, 2/5, 3, 5
Let d(u) = -13*u**2 + 260*u + 245. Let k(n) = -n - 29. Let y(c) = d(c) + 5*k(c). Factor y(h).
-(h - 20)*(13*h + 5)
Let q(k) = 2*k**3 - 7*k**2 + 7*k + 3. Let x be q(2). Let 8*s**4 - 9*s**5 + 6*s**5 - 5*s**3 - s**x + s**3 = 0. What is s?
0, 1
Let b be (30 - (-498)/(-83)) + -24. Find w, given that -9/5*w**2 + 0 + b*w - 3*w**3 + 9/5*w**4 + 3*w**5 = 0.
-1, -3/5, 0, 1
Let u(f) be the first derivative of -f**4/16 + 49*f**3/12 - 95*f**2/8 + 47*f/4 + 374. Factor u(p).
-(p - 47)*(p - 1)**2/4
Let q(o) be the third derivative of -o**6/40 - 3*o**5/10 - 11*o**4/8 - 3*o**3 + 16*o**2 - 14*o. Factor q(r).
-3*(r + 1)*(r + 2)*(r + 3)
Suppose -3*c = -18 + 18. Suppose 4*t - 6 = -2*f, -3*t - f - 3 + 6 = 0. Factor t + 2/9*n**2 + c*n.
2*n**2/9
Let b(u) be the third derivative of -u**8/2016 - 2*u**7/315 + u**6/360 + 2*u**5/45 - u**4/144 - 2*u**3/9 - 127*u**2 + u. Solve b(r) = 0.
-8, -1, 1
Let o = 481778/35 - 13765. Let f(b) be the first derivative of -9 - o*b**5 + 0*b + 3/28*b**4 + 0*b**3 + 0*b**2. What is s in f(s) = 0?
0, 1
Factor 3*l**3 - 1020*l**2 + 1074*l**2 + 51*l - 151 + 151.
3*l*(l + 1)*(l + 17)
Let n(l) be the third derivative of -l**6/300 - 17*l**5/150 + 209*l**4/60 + 15*l**3 + 369*l**2 - 2*l - 1. Factor n(y).
-2*(y - 9)*(y + 1)*(y + 25)/5
Let o be (-10 + (-408)/(-40))/(3/60). Let b be (-11)/(-3) - 4/6. Factor 7*l**3 - 8 - 4*l**b + l**3 - o*l + 8*l**2.
4*(l - 1)*(l + 1)*(l + 2)
Let m(i) = -i**2 - 11*i + 5. Let s be m(-12). Let x(o) = -4*o**3 - 29*o**2. Let t(b) = -2*b**3 - 15*b**2. Let n(f) = s*t(f) + 3*x(f). Solve n(w) = 0 for w.
-9, 0
Factor -1448/15*l**3 + 2/15*l**4 + 131044/5*l**2 + 2146566242/15 - 47437928/15*l.
2*(l - 181)**4/15
Factor -245 - 411*j - 110 + 9 - 62 - 3*j**2.
-3*(j + 1)*(j + 136)
Solve 66*k**5 + 73*k**5 - 211*k**5 + 46*k**4 - 4*k**2 - 84*k**3 + 86*k - 42 + 70*k**5 = 0 for k.
-1, 1, 21
Let r(v) be the first derivative of 2*v**3/15 + 416*v**2/5 + 166*v - 947. Factor r(g).
2*(g + 1)*(g + 415)/5
Let b(z) be the first derivative of 2*z**3/21 + 1384*z**2/7 + 957728*z/7 + 2155. Let b(x) = 0. What is x?
-692
Suppose -5*q + 22*s = 26*s - 8, q + 6 = 3*s. Let g(h) be the second derivative of 1/8*h**4 + 13*h - 2*h**3 + q + 12*h**2. Factor g(v).
3*(v - 4)**2/2
Let d(i) = -i**3 + 28*i**2 - 26*i - 26. Let a be (-27)/(4/(-8)*2). Let m be d(a). Let 2 - z**2 - m + 0*z**2 = 0. Calculate z.
-1, 1
Suppose -4 = 5*c - 24. Suppose 4*g - 2 + 6 = -c*m, -3 = m. Suppose -4*o**3 + g*o + 8*o**2 - 5*o - 3*o + 2*o = 0. What is o?
0, 1
Let l = -6113 + 6113. Let h(g) be the third derivative of 1/160*g**5 + 0 - 1/160*g**6 + 0*g - 20*g**2 + 0*g**4 + l*g**3. Solve h(y) = 0 for y.
0, 1/2
Let b(g) = -3*g**2 - 13*g - 5. Let x be b(-5). Let o be ((-18)/x - (-2)/(-10)) + 1. Factor 1 - 8*h - 1 + 4*h**4 + 6*h**3 + 59*h**2 - o*h**5 - 67*h**2.
-2*h*(h - 2)**2*(h + 1)**2
Let n(a) = 13*a**3 + 639*a**2 + 455*a - 235. Let j(o) = -51*o**3 - 2571*o**2 - 1821*o + 939. Let w(g) = -4*j(g) - 15*n(g). Factor w(r).
3*(r + 1)*(r + 77)*(3*r - 1)
Let j(d) = 13*d**2 + 212*d - 5490. Let w(c) = 3*c**2 + 53*c - 1372. Let k(b) = -4*j(b) + 18*w(b). What is y in k(y) = 0?
-72, 19
Suppose -6*p + 13*p - 11*p = 0. Let w be (-8 + 10)*(2 - p). Factor -2*m**3 - 32*m**2 - 2*m**3 + 4*m + 0*m**3 + 34*m**2 - 2*m**w.
-2*m*(m - 1)*(m + 1)*(m + 2)
Let y = -28387/12 - -2371. Let z = y - 1/12. Solve -z*m**2 + 4/3 - 4*m = 0 for m.
-1, 1/4
Solve -32*o + 10/3*o**4 + 32*o**3 + 0 + 200/3*o**2 = 0 for o.
-6, -4, 0, 2/5
Suppose -99 = -13*h - 8. Let c(i) = 6*i**3 + 24*i**2 - 27*i + 3. Let x(o) = -13*o**3 - 49*o**2 + 55*o - 7. Let m(t) = h*c(t) + 3*x(t). What is y in m(y) = 0?
-8, 0, 1
Suppose 3*j - 3*z + 18 = 7*j, -7 = -5*j + 4*z. Let w = -4 + 6. Factor -4 - 2*m**2 + m**w - 3*m + j*m + 4*m.
-(m - 2)**2
Let m(t) be the first derivative of -t**6/960 + t**5/32 - 25*t**4/64 + 4*t**3/3 + 2*t - 37. Let u(n) be the third derivative of m(n). Factor u(b).
-3*(b - 5)**2/8
Let q(c) be the first derivative of -c**6/2 - 204*c**5/5 - 192*c**4 + 16*c**3 + 1560*c**2 + 3072*c - 6811. Factor q(h).
-3*(h - 2)*(h + 2)**3*(h + 64)
Let c(n) = -n**3 + n**2 - n + 2. Let t(w) = 5*w**5 - 1125*w**4 + 64930*w**3 - 184810*w**2 - 5*w + 10. Let d(o) = -5*c(o) + t(o). Factor d(z).
5*z**2*(z - 111)**2*(z - 3)
Let y(v) = -v**3 + 5*v**2 + 4. Let l be y(5). Factor -5 - g**2 + 4*g**2 - 13 + 11*g - l*g**2.
-(g - 9)*(g - 2)
Let i = -5042/183 + 1701/61. Suppose i*t**4 + 7/6*t**5 + 0 - 1/3*t**2 + 0*t - 7/6*t**3 = 0. Calculate t.
-1, -2/7, 0, 1
Factor 138/5*n - 72/5*n**2 - 68/5 + 2/5*n**3.
2*(n - 34)*(n - 1)**2/5
Let l = 121 - 121. Determine c, given that -4*c**4 - 597*c**2 - 1600 + l*c**4 - 3040*c + 80*c**3 - 687*c**2 + 72*c**3 = 0.
-1, 20
Let z(d) be the third derivative of 11/108*d**6 + 1/42*d**8 - 16/27*d**3 + 11/63*d**7 + 0*d + 0 - 14/27*d**5 - 25/27*d**4 - 99*d**2. Solve z(n) = 0.
-4, -2/3, -1/4, 1
Suppose 103*w - 90*w = 26. Let a(x) be the third derivative of -1/840*x**7 - 20*x**w + 0*x - 1/120*x**6 + 0*x**4 + 0 - 1/60*x**5 + 0*x**3. Factor a(n).
-n**2*(n + 2)**2/4
Let i = -186603/4 - -93303/2. Solve i*l - 1/4*l**2 + 1 = 0 for l.
-1, 4
Let r(f) = -4*f**4 - 306*f**3 + 1160*f**2 - 1148*f - 14. Let u(m) = m**4 + 61*m**3 - 232*m**2 + 230*m + 3. Let l(y) = -3*r(y) - 14*u(y). Factor l(z).
-2*z*(z - 28)*(z - 2)**2
Let n(z) be the first derivative of z**5/20 - 5*z**4/8 - 11*z**3/12 + 1541. Factor n(v).
v**2*(v - 11)*(v + 1)/4
Let a be (-5)/5 + 1 + 0. Suppose -3*k + 3*y + 2*y + 69 = a, -81 = -4*k + 3*y. Factor 4*j**2 - 3*j**2 + 28*j - k*j - 9*j**2 - 2*j**3.
-2*j*(j - 1)*(j + 5)
Let l = -771 + 680. Let b be l/(-49) + (-2)/(-14) + -2. Suppose 0 - 3/7*y**3 - 3/7*y**4 + 3/7*y**2 + b*y + 3/7*y**5 = 0. Calculate y.
-1, 0, 1
Let u(y) = -10*y**2 + 28*y + 85. Let n(r) = -r**2 - r - 1. Let q(g) = 3*n(g) + u(g). Let v(j) = -5*j**2 + 8*j + 27. Let z(d) = -3*q(d) + 8*v(d). Factor z(o).
-(o + 5)*(o + 6)
Suppose 36 = l + 30. Suppose -l*f = -0 - 12. Find c, given that 10*c - c**2 - 2*c**3 + 16 - 10*c**2 - f*c + 7*c**2 = 0.
-2, 2
Factor 32 - 52/5*v**2 - 104/5*v - 4/5*v**3.
-4*(v - 1)*(v + 4)*(v + 10)/5
Let n(g) be the third derivative of -g**6/360 - 473*g**5/90 - 223729*g**4/72 - g**2 + 301. Factor n(q).
-q*(q + 473)**2/3
Let p(w) = -w**3 - 26*w**2 + 45*w - 28. Let u be p(-20). Let r be -4 + -1 - (u/(-24))/(-13). Factor -5/3*v**2 - r*v - 2.
-(v + 3)*(5*v + 2)/3
Suppose 3*p = 1666 - 1783. Let s be 3/(-9)*(p - -39). Suppose 0 + 2/15*l**3 + 4/15*l**2 - 2/15*l**4 + s*l = 0. What is l?
-1, 0, 2
Suppose 53*c - 15 = 48*c. Let g be (c/60)/(902/128 - 7). Factor -8/3*h - g - 2/5*h**3 - 28/15*h**2.
-2*(h + 2)**2*(3*h + 2)/15
Let u be (-9)/72*2*-8. Suppose -17*d**2 + 48*d - 20*d**2 + 51 - 24*d**2 - 16*d**u + 74*d**2 = 0. Calculate d.
-1, 17
Let k = 55 - 81. Let i(c) = 2*c + 53. Let u be i(k). Factor -13*q - u - 9*q**4 + 10*q**2 - 10*q + 20*q - 2*q**3 + 5*q**5.
(q - 1)**3*(q + 1)*(5*q + 1)
Suppose -q + 2*b = 1, q + 10*b - 7*b - 14 = 0. Suppose -q*s + m - 2 = 0, 5 - 1 = 4*s + 2*m. Factor s + 0*j + 26/7*j**3 - 4/7*j**2.
2*j**2*(13*j - 2)/7
Let b(l) be the second derivative of -l**5/70 - 55*l**4/21 - 731*l**3/21 - 1030*l**2/7 - 7095*l. Factor b(i).
-2*(i + 2)*(i + 5)*(i + 103)/7
Let d be 660/341 + 56/868. Determine y, given that y + 1/2*y**d - 3/2 = 0.
-3, 1
Let j(n) be the second derivative of -7*n**5/10 + 146*n**4/3 - 476*n**3/3 - 160*n**2 - 673*n - 1. Factor j(u).
-2*(u - 40)*(u - 2)*(7*u + 2