be the first derivative of q(s). Factor z(a).
-2*a*(a + 6)/5
Let r(w) = -w**2 - 88*w - 1737. Let v be r(-58). Factor 13/6*l**2 - 49/6 - 35/6*l - 1/6*l**v.
-(l - 7)**2*(l + 1)/6
Let x(m) = -231*m**2 + 219*m + 6. Let p(t) = 231*t**2 - 217*t - 6. Let b(n) = 3*p(n) + 4*x(n). Factor b(r).
-3*(r - 1)*(77*r + 2)
Let i(u) = 3*u + 51. Let k be i(-16). Let q(v) be the first derivative of 1/2*v**k - 6 + 3/4*v**2 - 3/8*v**4 - 3/2*v. Factor q(z).
-3*(z - 1)**2*(z + 1)/2
Let y(x) be the first derivative of -5*x**3/3 - 65*x**2/2 + 70*x - 9. Factor y(r).
-5*(r - 1)*(r + 14)
Let v(k) be the third derivative of -k**6/240 + k**5/20 + k**4/48 - k**3/2 - 16*k**2. Factor v(n).
-(n - 6)*(n - 1)*(n + 1)/2
Let t(l) be the first derivative of l**4/12 - l**3/3 - 8*l**2/3 - 4*l - 220. Factor t(q).
(q - 6)*(q + 1)*(q + 2)/3
Let c be (-21 + 14)/((-1)/10). Let w = -68 + c. Solve 0 + 9/8*p**3 - 3/4*p - 15/8*p**w = 0 for p.
-1/3, 0, 2
Let c(f) be the first derivative of 3*f**5/5 + 15*f**4 + 133*f**3 + 441*f**2 + 217. Factor c(r).
3*r*(r + 6)*(r + 7)**2
Let m be (-2 + 17)*(-18)/(-24). Solve 25/2*c**3 + 0 - m*c**4 - 5*c**5 + 0*c + 15/4*c**2 = 0.
-3, -1/4, 0, 1
Let x be 0*2*(4 + (-45)/10). Let w = 49/2 - 24. Factor w*o**2 + x + 1/2*o.
o*(o + 1)/2
What is k in -74/5*k - 34/5*k**2 + 2/5*k**3 - 38/5 = 0?
-1, 19
Let z be (-4)/5*10/(-12). Let w(x) = 2*x**3 + 2*x**2 + x + 2. Let p be w(0). What is o in -4/3*o + 0 - z*o**p = 0?
-2, 0
Let u(g) be the first derivative of g**5 + 3 - 20/3*g**3 + 0*g**2 + 0*g + 0*g**4. Factor u(t).
5*t**2*(t - 2)*(t + 2)
Let n(d) = -2*d**3 - 3*d**2 - 4*d - 9. Let t(c) = -c**3 - c**2 + c - 1. Let v(w) = -2*n(w) + 6*t(w). Solve v(k) = 0 for k.
-2, -1, 3
Let b = 60 + -57. Find a, given that 64 + 208*a + 32*a**4 + 12*a**2 + a**2 - 2*a**2 - 3*a**5 - 97*a**b + a**2 = 0.
-1, -1/3, 4
Factor 1 - 9/4*x**2 - 35/4*x.
-(x + 4)*(9*x - 1)/4
Let o(d) = 225*d**4 + 455*d**3 + 302*d**2 + 88*d + 12. Let s(z) = 5 - 1768*z - 4 + 1769*z - z**2. Let g(a) = 5*o(a) - 20*s(a). Let g(u) = 0. What is u?
-1, -2/5, -2/9
Let p(u) be the second derivative of u**6/135 - 13*u**5/90 + 5*u**4/9 + 4*u**3/27 - 40*u**2/9 + 384*u. Determine g, given that p(g) = 0.
-1, 2, 10
Let p(y) be the third derivative of -y**7/4410 + y**6/1260 - y**4/6 - 38*y**2. Let l(b) be the second derivative of p(b). Factor l(n).
-4*n*(n - 1)/7
Let g be (-136)/(-66) - (-15)/55. What is q in -g*q**4 - 9*q**2 - 13/3*q - 23/3*q**3 - 2/3 = 0?
-1, -2/7
Let d(t) be the first derivative of 0*t + 2 + 0*t**5 + 1/12*t**4 - 1/18*t**6 + 0*t**2 + 0*t**3. Solve d(b) = 0 for b.
-1, 0, 1
Let w = -18639/40 + 466. Let g(d) be the second derivative of -w*d**5 + 0*d**2 + 1/12*d**4 - 1/12*d**3 - 4*d + 0. Find p, given that g(p) = 0.
0, 1
Let a(y) = y**4 + y**2 - y - 2. Let i = 49 + -39. Let p(c) = 6*c**4 - 4*c**3 + 3*c**2 + 7*c - 1. Let z(t) = i*a(t) - 2*p(t). Suppose z(f) = 0. What is f?
-1, 3
Let n be ((-355)/142)/(75/(-36)). Find z such that 0*z + 0*z**2 - 3/5*z**3 + 0 - 3/5*z**5 - n*z**4 = 0.
-1, 0
Suppose -2*j + 7*j = 20. Suppose j = f + 1. Factor 3*g**2 + 25 - f*g + 2 - 9*g - 6*g.
3*(g - 3)**2
Determine d, given that 1/4*d**2 - 4 + 15/4*d = 0.
-16, 1
Factor 56 + 100*m - 3 + 95*m**2 - 48.
5*(m + 1)*(19*m + 1)
Suppose -f + 14 = 5*b, -f = 5*b - 3*b - 5. Let i(h) = -h**5 - 2*h**4 + 3*h**3. Let p(m) = -3*m**4 + 3*m**3. Let d(o) = b*i(o) - 4*p(o). What is n in d(n) = 0?
0, 1
Let v be (-4 - -13)/(9/6). Suppose v = o + o. Determine b, given that 2/3*b**2 + 2/3*b**o + 0 - 2/3*b - 2/3*b**4 = 0.
-1, 0, 1
Solve 676 - 17*r**2 - 214*r + 292 - 2*r**4 - 85*r**2 - 38*r**3 + 1116*r = 0.
-11, -1, 4
Let h(m) be the first derivative of 8*m**6/9 + 12*m**5/5 - m**4/3 - 8*m**3/3 - 375. Solve h(w) = 0.
-2, -1, 0, 3/4
Suppose -w - 1 = 0, 2*a + 2*w - 2 = -4. Let q(o) be the first derivative of 0*o**2 + a*o - 2 + 1/22*o**4 + 4/33*o**3 - 2/55*o**5. Factor q(g).
-2*g**2*(g - 2)*(g + 1)/11
Suppose -10*d + 1909 = -891. Let m = -832/3 + d. Factor m + 2/3*t**2 - 8/3*t.
2*(t - 2)**2/3
Let z(h) = -21*h**4 - 90*h**3 + 291*h**2 - 258*h + 33. Let i(a) = -5*a**4 - 23*a**3 + 73*a**2 - 65*a + 8. Let n(t) = 15*i(t) - 4*z(t). Factor n(w).
3*(w - 1)**2*(w + 4)*(3*w - 1)
Let f(w) be the third derivative of -w**7/2205 + w**5/210 - w**4/126 - 4*w**2 + w. Factor f(g).
-2*g*(g - 1)**2*(g + 2)/21
Let r be 3/(-6) - (-2637)/3564. Let b = r - -1/99. Factor -1/8*t + 0 + b*t**2 - 1/8*t**3.
-t*(t - 1)**2/8
Let t be 2/9*(-504)/(-21). Factor t*v + 64/3 + 1/3*v**2.
(v + 8)**2/3
Let v be (-304)/(-342)*(-6)/56 + (-430)/(-105). Suppose -4/5*s**3 + 0*s + 0 + 12/5*s**v - 12/5*s**2 + 4/5*s**5 = 0. What is s?
-3, -1, 0, 1
Let u = -20 + 25. Find f such that -15*f**5 - 2*f + 6*f**3 + 13*f**u - 2*f**3 = 0.
-1, 0, 1
Let t(s) be the second derivative of s**5/45 + 8*s**4/27 + 26*s**3/27 + 4*s**2/3 - 2*s + 23. Factor t(u).
4*(u + 1)**2*(u + 6)/9
Let g(a) = -a - 30. Let m be g(-30). Let q be (0 - m) + 2/5. Determine o, given that -q*o**2 + 2/5*o**3 - 2/5*o + 2/5 = 0.
-1, 1
Let g(o) be the third derivative of o**7/5880 + o**6/420 - o**5/56 - o**4/2 + 9*o**2. Let i(m) be the second derivative of g(m). Let i(u) = 0. What is u?
-5, 1
Let y = -3583 + 3585. Let 0*l - 2/9*l**y + 2/9 = 0. What is l?
-1, 1
Let o be (17/(-459))/((-4)/6). Let a(l) be the third derivative of -o*l**4 + 7*l**2 + 1/630*l**7 + 1/180*l**6 + 2/9*l**3 + 0*l + 0 - 1/60*l**5. Factor a(j).
(j - 1)**2*(j + 2)**2/3
Let j(f) be the first derivative of 5*f**4/48 + f**3/2 + f**2/2 + 10*f - 11. Let z(o) be the first derivative of j(o). Factor z(t).
(t + 2)*(5*t + 2)/4
Suppose 3*s - 2*v + 8 = 4*s, -2*v + 8 = -s. Let w(z) be the second derivative of -7*z + 1/15*z**6 + 9/70*z**5 + 0*z**3 + 0 + 1/21*z**4 + s*z**2. Factor w(f).
2*f**2*(f + 1)*(7*f + 2)/7
Let j = 34296/85615 + -10/17123. Let g(h) = -3*h + 1. Let q be g(-1). Find v, given that 0 - 4/5*v + j*v**2 + 4/5*v**3 - 2/5*v**q = 0.
-1, 0, 1, 2
Let j(l) be the first derivative of -l**4/26 - 94*l**3/39 - 46*l**2/13 + 171. What is a in j(a) = 0?
-46, -1, 0
Let y(v) be the second derivative of v**5/10 - 8*v**4/3 - v**3/3 + 16*v**2 - 248*v. Suppose y(j) = 0. Calculate j.
-1, 1, 16
Let j be (-432)/4032*(-182)/4. Factor -3/8*k**2 - j*k + 0.
-3*k*(k + 13)/8
Let i be ((-3)/2)/((-13)/(-52)). Let a(n) = -20*n**3 + 30*n**2 - 4*n - 6. Let w(h) = 61*h**3 - 90*h**2 + 12*h + 17. Let o(g) = i*w(g) - 17*a(g). Factor o(f).
-2*f*(f - 1)*(13*f - 2)
Suppose p = -4*p + 15, -5*y + 45 = -5*p. Let m(u) be the first derivative of -y*u**2 - 6 - 4*u - 32/3*u**3. Factor m(w).
-4*(2*w + 1)*(4*w + 1)
Let i(q) be the third derivative of -q**5/30 - q**4/2 + 16*q**3/3 + 85*q**2 - 2. Solve i(y) = 0 for y.
-8, 2
Let p be 4 + 0 + 0/18. Factor 14*h**3 - 275*h - 9*h**2 + 250 + 21*h**3 + 5*h**p - 6*h**2.
5*(h - 2)*(h - 1)*(h + 5)**2
Suppose -2*a = 4*s - 3*s + 4, 0 = 5*s + a - 7. Factor 7*l**2 + s*l**2 - l**2 - 2*l - 6*l**2 - 4.
2*(l - 2)*(l + 1)
Let k(b) = -b**3 + b - 1. Let r(n) = n**2 + 4*n - 4. Let l be r(-4). Let o(i) = 16*i**3 + 21*i**2 + 2*i + 1. Let s(t) = l*k(t) - o(t). Factor s(g).
-3*(g + 1)**2*(4*g - 1)
Factor 52/3 - 100/3*k + 4/3*k**3 + 44/3*k**2.
4*(k - 1)**2*(k + 13)/3
Factor 0 + 0*v + 1/2*v**3 + 0*v**4 + 0*v**2 - 1/8*v**5.
-v**3*(v - 2)*(v + 2)/8
Let a be (-76)/(-16) - (-2 - 21/(-12)). Suppose -a*x + 6 = -2*x. Let 2/9 + 4/3*k**x + 8/9*k**3 + 8/9*k + 2/9*k**4 = 0. Calculate k.
-1
Let a = 67 + -67. Suppose l = 3*k - 1, 5*l + a*l - 15 = -5*k. What is o in -l + 3/2*o**2 - 2*o = 0?
-2/3, 2
Find n such that 28*n**2 + 32/3*n**3 + 104/9*n + 4/3 - 64/9*n**4 = 0.
-1, -1/4, 3
Let a be (-40)/(-16)*12/10. Suppose 2*y - a*z - 6 = -z, -y - 3*z + 7 = 0. Solve 7*k**y + 23*k - 44*k**3 + 36*k**5 - 16*k**2 - 7*k - 3*k**4 + 20*k**4 = 0 for k.
-1, 0, 2/3
Suppose -8*r = -15*r + 21. Determine j so that 3*j**4 + 17*j - 17*j + r*j**5 = 0.
-1, 0
Let x = -6428 - -12857/2. Solve -x*l**2 - 1/8 + 5/8*l = 0 for l.
1/4, 1
Let j(d) be the third derivative of -1/14*d**5 - 1/735*d**7 + 0 + 0*d**3 - 3/28*d**4 - 8*d**2 - 1/60*d**6 + 0*d. Factor j(i).
-2*i*(i + 1)*(i + 3)**2/7
Let g(x) be the first derivative of -3*x**4/16 + 57*x**2/8 - 45*x/2 + 33. Factor g(q).
-3*(q - 3)*(q - 2)*(q + 5)/4
Suppose 18*s - 2*s = 0. Suppose s = -h + 22 - 20. Suppose -9/8*o**5 - 3/4*o**h + 3/4*o**4 + 0 + 3/2*o**3 - 3/8*o = 0. Calculate o.
-1, -1/3, 0, 1
Let m = 16 + -25. Let h = m 