*b**2. Let o be z(12). Let 2/9*v**2 - 2/9*v**4 + 0*v + 0 + 2/3*v**5 - 2/3*v**o = 0. Calculate v.
-1, 0, 1/3, 1
Factor 1156/5*z**3 + 952/5*z**2 - 464*z + 160.
4*(z + 2)*(17*z - 10)**2/5
Let l(x) = 8*x**2 - x. Let q = -8 + 7. Let o be l(q). Factor -4*b**5 - 2*b**4 + 11*b**4 - o*b**3 + b**5 + 3*b**2.
-3*b**2*(b - 1)**3
Suppose 5*d + 5*k = -90, 0*d + 2*d = -k - 35. Let m = -13 - d. Factor 9 - 3*j**m + 3*j**2 - 9 + 3*j**3 - 3*j.
-3*j*(j - 1)**2*(j + 1)
Let u(t) be the second derivative of -3*t**5/40 - t**4/2 + 7*t**3 - 24*t**2 + 35*t + 1. Determine x so that u(x) = 0.
-8, 2
Let t(u) be the second derivative of u**7/126 - 3*u**6/20 + 9*u**5/10 - 107*u**4/72 - u**3/3 + 3*u**2 - 127*u. Suppose t(j) = 0. What is j?
-1/2, 1, 6
Let z(n) be the second derivative of n**4/6 - 73*n**3/21 - 44*n**2/7 - 8*n + 3. Let z(y) = 0. Calculate y.
-4/7, 11
Let o be (-2)/(-5)*(-15)/(-3). Suppose o*x + 9 = 3*h, 3*h + 5*x - 10 = -1. Solve 0 - 5/4*n**4 + 0*n**2 - 1/4*n**h + 0*n - n**5 = 0.
-1, -1/4, 0
Let j(r) = 2*r**2 + 12*r - 37. Let p(n) = -2*n**2 - 12*n + 38. Let c(h) = 6*j(h) + 5*p(h). Factor c(o).
2*(o - 2)*(o + 8)
Let z be (-280)/192 - 1/2*-3. Let g(q) be the third derivative of 0*q - 5*q**2 + 1/40*q**6 - 1/210*q**7 + 0*q**3 + z*q**4 + 0 - 1/20*q**5. Solve g(m) = 0 for m.
0, 1
Let d = -821/10 - -83. Let l = 3/2 - d. Suppose 3/5*y**2 + 0 + l*y = 0. What is y?
-1, 0
Let j = -28 + 25. Let a be ((2 - 2)/3)/j. Suppose a + 2/9*o + 0*o**2 - 2/9*o**3 = 0. Calculate o.
-1, 0, 1
Determine i, given that 0 + 2/5*i**3 - 32/5*i**2 + 0*i = 0.
0, 16
Let j(r) be the second derivative of 0 - 10*r**2 + 0*r**3 + 5/4*r**4 - 4*r - 1/4*r**5. What is i in j(i) = 0?
-1, 2
Factor 47/3*r - 25/3*r**2 - 23/3 + 1/3*r**3.
(r - 23)*(r - 1)**2/3
Let z(s) be the first derivative of s**4/16 + 5*s**3/3 + 93*s**2/8 + 63*s/2 - 134. Suppose z(c) = 0. Calculate c.
-14, -3
Let m be 1*(1 - (-2 - -1)). Factor -16/9*s - 2/9*s**m - 14/9.
-2*(s + 1)*(s + 7)/9
Determine v, given that 13/7*v**3 - 3/7*v**4 - 2*v**2 + 8/7 - 4/7*v = 0.
-2/3, 1, 2
Let t(p) be the third derivative of -p**7/70 - 9*p**6/40 + 3*p**5/20 + 25*p**4/8 - 9*p**3 - p**2 - 130. Find j such that t(j) = 0.
-9, -2, 1
Let c(k) be the second derivative of -k**4/6 + k**3 + 4*k**2 - 3*k - 2. Determine u, given that c(u) = 0.
-1, 4
Suppose -4/7*o**3 - 3024*o - 42336 - 72*o**2 = 0. Calculate o.
-42
Let k(w) be the second derivative of -w**6/90 + w**5/30 + w**4/9 - w**3/9 - w**2/2 + 2*w + 21. Suppose k(o) = 0. What is o?
-1, 1, 3
Factor -2/9*j**3 - 16/9*j**2 - 4 - 14/3*j.
-2*(j + 2)*(j + 3)**2/9
What is h in -7*h**3 - 14 + 65/3*h - h**2 + 1/3*h**4 = 0?
-2, 1, 21
Let v = 771/2 - 385. Let 0 - v*f**2 + 3/2*f = 0. Calculate f.
0, 3
Let b(m) = -6*m**3 - 3*m**2 - 3*m - 1. Let o be b(-1). Suppose -2*v = -5*g - 7 - 8, o*g = 5*v - 15. Factor v*u + 1/6*u**2 - 1/6.
(u - 1)*(u + 1)/6
Factor 8/3*f + 2/3*f**2 + 0.
2*f*(f + 4)/3
Let f(r) be the second derivative of -1/4*r**4 + 21/2*r**2 - 16*r + 3*r**3 + 1. Solve f(x) = 0 for x.
-1, 7
Let p be (-5)/(-2)*(-426)/(-355). Let k(q) be the second derivative of 0 - 1/24*q**4 - 1/16*q**2 + 3*q + 1/12*q**p. Find y, given that k(y) = 0.
1/2
Let r(q) be the first derivative of -2*q**3/3 - 41*q**2 + 84*q - 55. Find a, given that r(a) = 0.
-42, 1
Let i(s) = 61*s - 486. Let a be i(8). Factor 4/9*k - 2/3*k**a + 2/9*k**3 + 0.
2*k*(k - 2)*(k - 1)/9
Let m be (-86)/(-2*(5 - 14)) + 5. Find t, given that 2/9*t + m*t**2 + 0 = 0.
-1, 0
Suppose 5*y - 13 = -k, -3*y + 9 = k - 0*y. Factor n**2 - 9*n**2 + 3*n**3 - 13*n - k*n - 4*n**3.
-n*(n + 4)**2
Let n(a) be the first derivative of -1/2*a**2 + 1 - 1/8*a**4 + 0*a - 1/2*a**3. Find f such that n(f) = 0.
-2, -1, 0
Let a(o) be the second derivative of -o**7/21 + 2*o**6/15 + 18*o**5/5 + 44*o**4/3 + 64*o**3/3 + 4*o + 11. Factor a(u).
-2*u*(u - 8)*(u + 2)**3
Let l(z) be the second derivative of -z**7/7 - 11*z**6/4 - 393*z**5/20 - 491*z**4/8 - 65*z**3 + 75*z**2 + z - 131. Solve l(c) = 0 for c.
-5, -2, 1/4
Suppose -5*k = -4*k - l - 0*l, -4*l = 3*k. Factor 0*t**4 + 4/13*t**3 - 2/13*t**5 + 0 + k*t**2 - 2/13*t.
-2*t*(t - 1)**2*(t + 1)**2/13
Let t(n) be the third derivative of -n**5/105 - 25*n**4/21 - 1250*n**3/21 - 27*n**2 + 2*n. Suppose t(l) = 0. What is l?
-25
Let m(v) = -8*v + 3 + 11*v - 4*v - 2. Let c(r) = -r**2 + 10*r - 58. Let n(o) = c(o) - 6*m(o). Determine y so that n(y) = 0.
8
Let f = 188 - 162. What is l in -90*l**3 + 126*l**2 - f*l - 100*l**3 - 80*l**3 - 4 + 216*l**4 + 6 = 0?
1/4, 1/3
Let h(x) = x**3 - 5*x**2 - 6*x + 6. Let z be h(6). Let y(g) = g + 7. Let l be y(-4). Determine b, given that -l*b**2 - 7*b - 2*b - b + b - z = 0.
-2, -1
Suppose -5*f + 32 = -13. Let x = 15 - f. Factor -6 - b**2 + x - b.
-b*(b + 1)
Let m(p) be the third derivative of p**6/30 - p**4/6 - 3*p**2 - 30*p. Factor m(b).
4*b*(b - 1)*(b + 1)
Let a(s) be the second derivative of 3*s**8/448 - s**7/42 + s**6/36 - s**4/4 - 18*s. Let u(g) be the third derivative of a(g). Factor u(t).
5*t*(3*t - 2)**2
Factor -9/5 - 1/10*i**2 - 9/10*i.
-(i + 3)*(i + 6)/10
Suppose -1094 + 1055 = -13*i. Let r(p) be the first derivative of 0*p + 0*p**2 - 1/22*p**4 + 0*p**i + 5 - 2/55*p**5. Factor r(y).
-2*y**3*(y + 1)/11
Let l be 10/(-45) - 188/(-36). Let m(w) be the first derivative of -1/15*w**3 - 1/20*w**4 + 0*w**2 - l + 0*w. Factor m(i).
-i**2*(i + 1)/5
Suppose 66*f - 18 = 63*f. Let u(k) be the third derivative of -1/60*k**4 + 1/300*k**f + 0 + 1/150*k**5 - 1/15*k**3 + 0*k + 3*k**2. Factor u(n).
2*(n - 1)*(n + 1)**2/5
Let z = 14157 + -14155. What is q in 100/7 + 40/7*q + 4/7*q**z = 0?
-5
Let b(l) = l**3 - 9*l**2 - 11*l + 14. Let f be b(10). Suppose 7*z - 3*z + 2*z**f - z**3 - 2 - 3*z**3 = 0. What is z?
-1, 1
Let z be ((-11)/(-21) + -1)*(280/(-12) - -21). Find g such that 0 + z*g**3 + 2/9*g**4 + 2/3*g + 14/9*g**2 = 0.
-3, -1, 0
Let k(g) be the third derivative of g**8/84 + 5*g**7/42 + 9*g**6/20 + 13*g**5/15 + 11*g**4/12 + g**3/2 + 42*g**2 - 7. Factor k(o).
(o + 1)**3*(o + 3)*(4*o + 1)
Let l(a) be the third derivative of 1/180*a**6 - 1/90*a**5 + 1/108*a**4 + 0*a + 0*a**3 + 0 + 12*a**2 - 1/945*a**7. Factor l(o).
-2*o*(o - 1)**3/9
Let d = 64029/80 + -3201/4. Let h(o) be the second derivative of 1/40*o**6 + 1/16*o**4 + 3*o + 0 + d*o**5 - 3/4*o**2 - 3/8*o**3. Factor h(t).
3*(t - 1)*(t + 1)**2*(t + 2)/4
Let p(h) be the second derivative of 3*h - 1/15*h**5 + 3/8*h**4 + 1/2*h**2 + 0 - 1/3*h**3. Let f(d) be the first derivative of p(d). Factor f(i).
-(i - 2)*(4*i - 1)
Let l(p) be the second derivative of -5*p**7/399 + 12*p**6/95 + 33*p**5/190 - 4*p**4/57 - 187*p. Determine b so that l(b) = 0.
-1, 0, 1/5, 8
Factor 1/5*s**2 + 48/5 - 49/5*s.
(s - 48)*(s - 1)/5
Let g = -1 - -5. Find p such that -g + p**2 - 6*p**2 - 2*p**2 + 2*p - 2*p**4 + 13*p**2 - 2*p**3 = 0.
-2, -1, 1
Suppose 21/8*z**2 + 0 - 3/8*z**3 - 15/4*z = 0. What is z?
0, 2, 5
Let o = 1763/12 + -440/3. Let -1/4*z - z**2 - 3/2*z**3 - z**4 + 0 - o*z**5 = 0. What is z?
-1, 0
Suppose 0 + 1/10*s**2 - 6/5*s = 0. Calculate s.
0, 12
Factor -32*g**3 + 124*g - 3*g**2 - 7*g**2 - 10*g**4 - 57*g - 63*g - 8*g**4.
-2*g*(g + 1)**2*(9*g - 2)
Factor 6*y**2 + 15*y**3 + 384 - 18*y**3 - 96*y - 21*y**2 - 21*y**2 - 6*y**2.
-3*(y - 2)*(y + 8)**2
Let h(l) = 52*l**4 + 24*l**3 - 36*l**2 - 8*l - 16. Let p(s) = -s**4 - s**3 + 1. Let d(f) = h(f) + 16*p(f). Find w, given that d(w) = 0.
-1, -2/9, 0, 1
Find f, given that 12 - 16/3*f**2 - 12*f = 0.
-3, 3/4
Let b(k) = 65*k - 5. Let d(u) = u**2 + 2*u + 1. Let f(i) = -b(i) - 5*d(i). Solve f(z) = 0.
-15, 0
Let i(q) be the second derivative of 5/3*q**4 - 10*q + 0 + 1/4*q**5 - 10*q**2 - 5/6*q**3. Determine h, given that i(h) = 0.
-4, -1, 1
Let g(i) = -14 + 13*i**2 + 27*i - 16*i - 12*i. Let r(z) = 37*z**2 - 4*z - 41. Let c(o) = -11*g(o) + 4*r(o). Factor c(b).
5*(b - 2)*(b + 1)
Solve 5/2*h**5 + 30*h**3 + 0 - 80*h**2 + 20*h**4 - 160*h = 0 for h.
-4, -2, 0, 2
Let r be ((-12)/(-15))/((-1)/((-1)/((-12)/(-10)))). Factor -2/9*x**2 + 0 + r*x.
-2*x*(x - 3)/9
Let u(p) be the first derivative of p**6/120 + 3*p**5/80 + p**4/24 + 8*p + 1. Let z(x) be the first derivative of u(x). Factor z(k).
k**2*(k + 1)*(k + 2)/4
Let k(n) = -41*n - 1. Let q be k(1). Let p be (-36)/q*(-28)/(-6). Suppose -4*a**2 + 31 - 31 + 4*a**p = 0. Calculate a.
-1, 0, 1
Let v(c) be the first derivative of -1/3*c**2 - 169/30*c**5 - 36