= k - -13/75. Let p*z**2 - 1/3 - 4/3*z**3 + 4/3*z = 0. What is z?
-1, 1/4, 1
Suppose 116 = 22148*g - 22090*g. Determine j so that 4/3*j - 10/9*j**g + 2/9*j**3 + 0 = 0.
0, 2, 3
Let k = -225 - -229. Suppose 0 = -k*b + 21*b - 51. Factor -1/3 + 0*u + 0*u**b + 2/3*u**2 - 1/3*u**4.
-(u - 1)**2*(u + 1)**2/3
Let w(r) be the third derivative of 17/15*r**5 + r**4 + 0*r + 0 + 4*r**2 + 0*r**3 - 1/10*r**6. Solve w(i) = 0 for i.
-1/3, 0, 6
Let t = -2156 + 2156. Let k(d) be the third derivative of -1/720*d**6 + 0 + 0*d**3 + 0*d + t*d**5 + 1/315*d**7 - 1/672*d**8 + 12*d**2 + 0*d**4. Factor k(u).
-u**3*(u - 1)*(3*u - 1)/6
Let z(p) be the third derivative of p**5/20 - 3*p**4/8 - 14*p**3 - 43*p**2 - 1. What is r in z(r) = 0?
-4, 7
Let l(r) be the second derivative of r**4/66 - 70*r**3/33 + 1225*r**2/11 - 41*r. Find h, given that l(h) = 0.
35
Let x = 913 + -911. Solve 1/8*c + 0 + 1/8*c**x = 0 for c.
-1, 0
Let k(u) be the second derivative of -1/20*u**5 + 0 - 6*u - 1/12*u**4 + 2/15*u**3 + 1/210*u**7 + 1/150*u**6 + 2/5*u**2. Let k(c) = 0. What is c?
-2, -1, 1, 2
Let c = -5378/25433 - -4/877. Let x = 88/145 + c. Factor 4/5*j**2 - x*j**3 + 0*j + 0.
-2*j**2*(j - 2)/5
Let d(f) = 3*f**2 + 28*f + 1. Let o(u) = -8*u**2 - 78*u - 2. Let k(l) = 11*d(l) + 4*o(l). Suppose k(p) = 0. Calculate p.
1, 3
Let y(r) = -3*r**4 - 11*r**3 - 25*r**2 + 53*r + 5. Let d(o) = 2*o**4 + 6*o**3 + 13*o**2 - 27*o - 3. Let q(f) = -5*d(f) - 3*y(f). Suppose q(z) = 0. What is z?
-3, 0, 2, 4
Let q(p) = -p**2 - 15*p + 16. Let t be q(-16). Let v(b) be the second derivative of t*b**2 + 0*b**3 - 1/45*b**6 + 0 - 5*b + 0*b**5 + 1/18*b**4. Factor v(c).
-2*c**2*(c - 1)*(c + 1)/3
Let q(m) = 23*m**2 - m + 3. Let j be q(-3). Let h = j + -851/4. Factor 0*a + h*a**3 + 3/4*a**2 + 0.
a**2*(a + 3)/4
Let s(n) = n**2 + 77*n - 137. Let k(z) = z**2 + 51*z - 91. Let b(j) = 7*k(j) - 5*s(j). Determine v so that b(v) = 0.
2, 12
Let z(x) be the second derivative of -x**6/2 - 24*x**5/5 + 23*x**4/4 + 7*x**3 + 57*x. Factor z(j).
-3*j*(j - 1)*(j + 7)*(5*j + 2)
Let g(r) be the first derivative of -5*r**3/3 + 45*r**2/2 + 50*r - 183. Determine p so that g(p) = 0.
-1, 10
Let h be 387/21 - (-16)/28. What is f in 28*f**5 + 42*f**4 + 11 - 5 + 33*f - h*f**5 + 72*f**2 + 78*f**3 = 0?
-1, -2/3
Determine f so that -7427 + 2098 - 78*f + f**2 - 68*f + f**2 - 3*f**2 = 0.
-73
Suppose 8 + 1 = v. Suppose -3*b = -v*b + 18. Let -5*d**2 - 3*d - 2*d**2 + 3*d**b + 3*d**2 + d**2 + 3*d**4 = 0. Calculate d.
-1, 0, 1
Let j(d) be the second derivative of d**4/102 + 10*d**3/51 + 16*d**2/17 - 185*d. Determine l so that j(l) = 0.
-8, -2
Let r(n) = -242*n - 1452. Let t be r(-6). Factor 5*p - 5/2*p**3 - 5/2*p**2 + t.
-5*p*(p - 1)*(p + 2)/2
Let a(c) be the third derivative of -c**5/60 + c**3/6 - c**2 + 2*c. Find d such that a(d) = 0.
-1, 1
Let q(c) be the second derivative of -7/2*c**3 - 52*c + 0*c**2 + 0 - 5/4*c**4. Factor q(s).
-3*s*(5*s + 7)
Let a(y) be the second derivative of y**5 + y**4/3 + 94*y. Factor a(i).
4*i**2*(5*i + 1)
Let r = 17071/4 + -4267. Determine k, given that -9/4*k**2 - r - 3*k = 0.
-1, -1/3
Let i be (-112)/(-8)*(-10)/(-490). Factor 0*s**3 - 4/7*s**4 + 0 - 2/7*s + 4/7*s**2 + i*s**5.
2*s*(s - 1)**3*(s + 1)/7
Solve 6/5 - 39/5*b + 33/5*b**2 = 0.
2/11, 1
Let m(r) be the third derivative of -243*r**7/14 - 747*r**6/4 - 7213*r**5/12 - 415*r**4/2 - 30*r**3 - 138*r**2. Suppose m(n) = 0. Calculate n.
-3, -2/27
Let u be 234/10 - 27/(-45). Factor 2*k**4 + u*k**3 + k**4 + 72*k + 88*k**2 - 22*k**2 + 27.
3*(k + 1)**2*(k + 3)**2
Let b be ((-2)/(-10))/((-12)/(-15)). Let y = 1/5116 + 639/2558. Factor b + 3/4*k**2 + y*k**3 + 3/4*k.
(k + 1)**3/4
Suppose 0 = -3*f + l - 29, -2*l - 52 = 2*f + 3*f. Let d be -1*f/(-2) - -9. Factor -3/5*t**5 - 6/5*t**d + 0 + 9/5*t**3 - 12/5*t + 12/5*t**2.
-3*t*(t - 1)**2*(t + 2)**2/5
Let s = -1106 - -8863/8. Factor 3/8*w**2 + 0 - s*w.
3*w*(w - 5)/8
Suppose -15*h - 63212 = -63257. Factor 2/19*b**h + 12/19*b**2 + 0 + 10/19*b.
2*b*(b + 1)*(b + 5)/19
Let f(m) = -5*m**3 + 45*m**2 + 5*m - 45. Let z(g) = -2*g**3 + 22*g**2 + 2*g - 22. Let q(w) = -3*f(w) + 5*z(w). Factor q(y).
5*(y - 5)*(y - 1)*(y + 1)
Suppose -o - 5*v + 12 = -14, -2*o = -v - 8. Suppose -o*n = -17 - 7. Solve -4*i**2 + 8*i**3 + 4*i - 4*i**3 - 8*i**3 + n*i**4 = 0.
-1, 0, 1
Factor -2*t**2 + 63 + 25*t - 3*t**2 - 124 + 91.
-5*(t - 6)*(t + 1)
Let q(t) be the first derivative of 3/7*t**2 - 8/21*t**3 + 1/14*t**4 - 2 + 0*t. Factor q(f).
2*f*(f - 3)*(f - 1)/7
Let q = 1762 + -8809/5. Determine d, given that -1/5*d**3 + 1/5 + 1/5*d - q*d**2 = 0.
-1, 1
Let t = 46 - 42. Find d such that 10*d**3 + 37*d**t + 3 - 10*d - 32*d**4 - 8 = 0.
-1, 1
Let w(a) be the third derivative of a**7/70 + a**6/10 + a**5/10 - a**4/2 - 3*a**3/2 + 48*a**2. Factor w(g).
3*(g - 1)*(g + 1)**2*(g + 3)
Let s = -32 + 36. Suppose 3*r = w - 5, r + s*w - 13 = 7. Factor 2 + 1/2*y**3 + r*y - 3/2*y**2.
(y - 2)**2*(y + 1)/2
Let t(a) be the third derivative of -8*a**2 - 1/24*a**6 + 0 + 0*a + 0*a**5 - 1/84*a**7 + 5/24*a**4 + 5/12*a**3. Find k, given that t(k) = 0.
-1, 1
Let v(x) be the third derivative of x**6/96 + 25*x**5/48 + 35*x**4/6 - 245*x**3/2 + 375*x**2. Factor v(o).
5*(o - 3)*(o + 14)**2/4
Let f be 6/(-81) + (-494)/(-108). Let p(k) be the first derivative of f*k**2 - 2 + 3/4*k**4 + 3*k + 3*k**3. Determine m, given that p(m) = 0.
-1
Let w(r) be the first derivative of -1/2*r**3 - 3/8*r**4 + 1/8*r**6 + 3/20*r**5 + 3/4*r + 3/8*r**2 - 14. Solve w(j) = 0 for j.
-1, 1
Let o(r) be the second derivative of r**4/54 + 7*r**3/27 + 10*r**2/9 - 493*r. Suppose o(v) = 0. Calculate v.
-5, -2
Let f(q) be the third derivative of 0*q**3 + 0 + 0*q + 31*q**2 - 2/105*q**7 + 1/15*q**5 + 0*q**6 + 0*q**4. Factor f(o).
-4*o**2*(o - 1)*(o + 1)
Factor n**2 - 1/4*n**3 + 5/4*n + 0.
-n*(n - 5)*(n + 1)/4
Let j(h) be the third derivative of -h**6/450 + h**5/25 - 3*h**4/10 + h**3/6 + 14*h**2. Let t(n) be the first derivative of j(n). Solve t(i) = 0.
3
Solve 2/3*l**3 - 8 + 50/3*l - 28/3*l**2 = 0.
1, 12
Let z = 2333/5845 + 1/1169. Let 4/5*t**3 + 0 + 0*t - 2/5*t**2 - z*t**4 = 0. What is t?
0, 1
Factor -5*f**2 - 28*f - 130 - 37*f + 12*f - 22*f.
-5*(f + 2)*(f + 13)
Let u be (-10)/(-2) + 469/(-75). Let f = -4/75 - u. Factor 22/15*y + 4/15 + f*y**2.
2*(y + 1)*(9*y + 2)/15
Let o be 2 + (-312)/220 + (-8)/44. Suppose 1/5*k**4 + 0 - o*k**3 + 1/5*k**2 + 0*k = 0. Calculate k.
0, 1
Let z(y) be the third derivative of 9*y**2 + 0*y**3 - 1/60*y**4 + 0 - 1/150*y**5 + 0*y. Determine q, given that z(q) = 0.
-1, 0
Let d(j) = -6*j**4 + 34*j**3 - 24*j**2 - 30*j + 26. Let s(p) = p**4 - p**3 - p + 1. Let i(w) = d(w) + 2*s(w). Factor i(r).
-4*(r - 7)*(r - 1)**2*(r + 1)
Let h(p) = p**3 - p**2 + 20. Let m be h(0). Factor -20*f**3 - 6*f**5 - 4*f**5 + 5*f**5 + m*f**4.
-5*f**3*(f - 2)**2
Let w(v) be the third derivative of 10*v**2 + 0 - 1/10*v**3 + 0*v + 1/60*v**4 + 1/300*v**5. Factor w(r).
(r - 1)*(r + 3)/5
Let l(w) be the second derivative of w**4/60 - 13*w**3/15 + 169*w**2/10 + w - 8. Find h, given that l(h) = 0.
13
Let w(t) = -13*t**3 - 245*t**2 - 451*t - 233. Let f(g) = -4*g**3 - 82*g**2 - 152*g - 78. Let r(x) = -7*f(x) + 2*w(x). Determine h, given that r(h) = 0.
-40, -1
Suppose -1 = -5*r + 14. Let c = 11 + -7. Suppose 4*q**5 - c - 39*q**2 + 20*q + 9*q**2 + 45*q**3 - 20*q**4 - 10*q**2 - 5*q**r = 0. Calculate q.
1
Let i = -4 + 6. Factor -6*n**2 + n**i - 20 - 20*n + 0*n**2 + 0*n.
-5*(n + 2)**2
Let h(x) be the second derivative of -4*x**7/315 + 19*x**6/225 - 31*x**5/150 + 19*x**4/90 - x**3/45 - 2*x**2/15 + 2*x + 12. Let h(f) = 0. Calculate f.
-1/4, 1, 2
Let g be 7*(-5)/75*(-32)/14. Let v(h) be the third derivative of -6*h**3 - g*h**5 + 0*h + 4*h**4 - 4*h**2 + 0. Factor v(m).
-4*(4*m - 3)**2
Let j(a) be the first derivative of a**2 - 1/2*a**3 - 1 + 1/12*a**4 + 6*a. Let i(q) be the first derivative of j(q). Factor i(p).
(p - 2)*(p - 1)
Let j = -12/65 - -296/195. Let 0*f + 0 - 7/2*f**4 - j*f**3 + 2/3*f**2 = 0. Calculate f.
-2/3, 0, 2/7
Let c(i) = -3*i - 8. Let z be c(-8). Let q = 18 - z. Factor g**q - 3*g**4 + g**2 + 3*g**5 + g**2 - 3*g**3.
3*g**2*(g - 1)**2*(g + 1)
Let y(q) be the third derivative of 0*q**5 + 0*q**4 + 0*q**3 + 0 + 0*q + 1/24*q**6 + 55*q**2 + 1/42*q**7. Determine k so that y(k) = 0.
-1, 0
Factor -1/4*p**3 + 3/2*p**2 - 9/4*p + 0.
-p*(p - 3)**2/4
Let p(q) = -1 - 12