158. Let i(u) = -u**3 - 3*u**2 + 4. Let z be i(-3). What is d in -1/5*d**z + a - 4/5*d - 6/5*d**2 + d**3 = 0?
-1, 2
Let a(t) = 0*t**3 + 2*t - 9*t**2 + 4 + 2*t**3 + 7*t**2 - 2*t**4. Let l(i) = -6*i**4 + 5*i**3 - 5*i**2 + 6*i + 11. Let r(z) = -11*a(z) + 4*l(z). Factor r(v).
-2*v*(v - 1)*(v + 1)**2
Let m be 5/3*(-294)/(-245). Determine g, given that -2/7*g**m + 0*g + 2/7 = 0.
-1, 1
Let v(l) be the third derivative of l**5/240 - 7*l**4/16 + 147*l**3/8 - l**2 + 20. Factor v(u).
(u - 21)**2/4
Factor 6/7*l**2 - 8/7 - 2/7*l**3 + 0*l.
-2*(l - 2)**2*(l + 1)/7
Let q(x) = x + 1. Let n be q(0). Suppose -t**4 + t + 1 - 2*t + t**2 - n + t**3 = 0. Calculate t.
-1, 0, 1
Let q = -136 + 136. Factor -1/3*h**2 + 0*h + q.
-h**2/3
Suppose -6*y + 10*y - 12 = 0. Let c(k) be the third derivative of 0 - 2/15*k**y + 1/20*k**4 + 0*k - k**2 - 1/150*k**5. Factor c(w).
-2*(w - 2)*(w - 1)/5
Let s(a) be the third derivative of 1/105*a**7 + 0 + 0*a - 7/120*a**6 + 7/60*a**5 - 5*a**2 - 1/12*a**4 + 0*a**3. Factor s(m).
m*(m - 2)*(m - 1)*(2*m - 1)
Let p = -1298/9 - -144. Let a = 5/18 - p. Suppose -3/2*c**3 - a*c + 5/2*c**2 - 1/2 = 0. What is c?
-1/3, 1
Let l(d) = -d**5 - d**4 + d**3 - d**2 - d. Let a(v) = 144*v**5 + 79*v**4 - 134*v**3 - 71*v**2 - 6*v. Let s(f) = -a(f) - 4*l(f). Suppose s(q) = 0. What is q?
-1, -2/7, -1/4, 0, 1
Factor -1/3*t**4 + 1/3*t**3 + 0*t + 2/3*t**2 + 0.
-t**2*(t - 2)*(t + 1)/3
Let n(v) = 7*v**4 + 13*v**3 + 15*v**2 + 19*v + 4. Let h(s) = -s**4 - s**3 - s. Let x(q) = -6*h(q) - n(q). What is t in x(t) = 0?
-4, -1
Let x(i) be the third derivative of -i**8/336 - 2*i**7/105 - i**6/30 + 12*i**2. Factor x(b).
-b**3*(b + 2)**2
Let t = 1/189 - 3973/756. Let o = -5 - t. Factor 0 + 0*s - o*s**3 - 1/4*s**2.
-s**2*(s + 1)/4
Let b(z) be the third derivative of z**7/2520 - z**6/360 + z**5/120 - z**4/72 - z**3/3 + 3*z**2. Let x(n) be the first derivative of b(n). Factor x(g).
(g - 1)**3/3
Factor 27*m**2 + 3*m**3 + 6 + 14*m**2 - 29*m**2 + 15*m.
3*(m + 1)**2*(m + 2)
Let a = -341/5 + 69. Factor 2/5*p - 6/5*p**2 + a.
-2*(p - 1)*(3*p + 2)/5
Find n, given that -2/9*n**2 + 0 + 2/9*n = 0.
0, 1
Suppose -2*k - 114 = -4*z, 4*k = 4*z - 172 + 48. Suppose -5*v + 4*d + 26 = 0, -z = -3*v + d + 4*d. Factor 2*u**2 - 2*u**2 - u**v.
-u**2
Let p(h) = -35*h**2 - 10*h + 17. Let k be (12/8)/((-2)/4). Let w(i) = -12*i**2 - 3*i + 6. Let b(s) = k*p(s) + 8*w(s). Factor b(v).
3*(v + 1)*(3*v - 1)
Factor -16/7*r**2 - 6/7*r**3 - 2*r - 4/7.
-2*(r + 1)**2*(3*r + 2)/7
Solve 3/2*t - 2 + 1/2*t**2 = 0.
-4, 1
Let h(m) be the second derivative of 1/2*m**3 + 1/4*m**4 + 0*m**2 + 0 - 2*m. Solve h(o) = 0.
-1, 0
Let o be 15*(1 - 6/9). Suppose 0 = -0*k - o*k + 20. Determine r so that -k - r**3 - 3*r**3 - 2*r**4 + 6 + 4*r = 0.
-1, 1
Let w(l) = 2*l**2 + 10*l - 24. Let u be w(-7). Factor 0*d**2 + 0*d + 0*d**u - 1/2*d**5 + 1/2*d**3 + 0.
-d**3*(d - 1)*(d + 1)/2
What is a in -4 - 5*a + 2*a**2 + 0*a**2 - 3*a**2 = 0?
-4, -1
Let h be (-2 - -4)*-1*(-4)/4. Factor 0*b**h + 0*b - 1/4*b**3 + 0.
-b**3/4
What is s in 7 + 8 - 15 - 3*s**4 + 3*s**2 = 0?
-1, 0, 1
Let s = -2/581 - -2334/2905. Suppose -8/5*j**2 + 4/5*j + 0 + s*j**3 = 0. Calculate j.
0, 1
Let u(l) be the second derivative of -l**5/20 + l**3/2 + l**2 - 3*l. Let h(w) be the first derivative of u(w). Factor h(k).
-3*(k - 1)*(k + 1)
Let u be (20 + -25)*1*-1. Let k(i) be the third derivative of 0*i**3 + 1/60*i**4 + 0*i - 1/150*i**u + 0 + i**2. Factor k(s).
-2*s*(s - 1)/5
Let v(s) be the third derivative of s**5/20 + s**4 + 6*s**3 - 12*s**2 - 2*s. Solve v(m) = 0.
-6, -2
Let o be -2 - (18/(-2) - -2). Factor c**o - c**5 + c**3 - 3*c**3 + 2*c**5.
2*c**3*(c - 1)*(c + 1)
Let m(q) = 2*q**3 + 2*q**2 - 8*q + 2. Let p(c) = c**3 + c**2 - 1. Let x(b) = -m(b) - 2*p(b). What is v in x(v) = 0?
-2, 0, 1
Let c(m) = 10*m**3 - 55*m**2 + 90*m - 45. Let l(v) = 15*v**3 - 83*v**2 + 135*v - 67. Let q(z) = -7*c(z) + 5*l(z). Determine r, given that q(r) = 0.
1, 4
Let x(i) = 4*i**4 - 3*i**3 - i**2 - 5*i + 5. Let n(k) = -k**4 + k**3 + k - 1. Let r(y) = -15*n(y) - 3*x(y). Let r(c) = 0. Calculate c.
0, 1
Let q(s) be the first derivative of 0*s - 1/7*s**4 - 6 + 1/35*s**5 + 0*s**2 + 4/21*s**3. Factor q(b).
b**2*(b - 2)**2/7
Let h be (-4)/(-8)*-6*-1. Let j(i) be the second derivative of 1/48*i**4 - 3*i + 1/24*i**h + 0 + 0*i**2. Let j(g) = 0. Calculate g.
-1, 0
Let p(i) = -8*i**5 - 5*i**4 + 29*i**3 + 16*i**2. Let n(s) = 52*s**5 + 32*s**4 - 188*s**3 - 104*s**2. Let k(j) = 5*n(j) + 32*p(j). Factor k(b).
4*b**2*(b - 2)*(b + 1)**2
Let 3/5 - 3/5*l**3 + 13/5*l**2 - 13/5*l = 0. What is l?
1/3, 1, 3
Suppose -3*w + 12 = 3*w. Let t(c) = 3*c**3 + 0*c**3 - 2*c**3 - c**2 - c**4. Let a(z) = 2*z**3 - 6*z**2 + 2. Let j(i) = w*t(i) - a(i). Factor j(u).
-2*(u - 1)**2*(u + 1)**2
Let j(n) be the second derivative of -n**7/42 - 9*n**6/10 - 243*n**5/20 - 243*n**4/4 + 11*n. Factor j(o).
-o**2*(o + 9)**3
Let g = 44/35 + -6/7. Factor -4/5*w**2 + 0 + 0*w - g*w**3.
-2*w**2*(w + 2)/5
Suppose 0*h = 16*h - 96. Let o(s) be the third derivative of 0*s - 2/3*s**3 - 1/15*s**h + 0 + 11/30*s**5 + 4*s**2 - 5/12*s**4. Determine q, given that o(q) = 0.
-1/4, 1, 2
Let u be (-9 + 18)*(-2)/(-9). Suppose -2/9*v**4 - 2/9*v**5 + 4/9*v**u - 2/9 - 2/9*v + 4/9*v**3 = 0. What is v?
-1, 1
Let c(d) = 4*d**2 - 3*d - 7. Let y be -6*(4/(-3) - -2). Let g be y/(32/(-10))*4. Let v(l) = -2*l**2 + l + 3. Let a(x) = g*v(x) + 2*c(x). Solve a(u) = 0.
-1, 1/2
Let a(s) be the first derivative of 3*s**5/5 + 9*s**4/4 + 2*s**3 + 61. Find m, given that a(m) = 0.
-2, -1, 0
Suppose h + 3*h = -24. Let r be 24/9 + h/9. Solve 14/5*z**5 + 0 - 2/5*z**r + 6*z**3 - 4/5*z - 38/5*z**4 = 0.
-2/7, 0, 1
Let j(v) be the third derivative of v**8/336 + v**7/35 + 13*v**6/120 + v**5/5 + v**4/6 - 10*v**2. Factor j(f).
f*(f + 1)**2*(f + 2)**2
Let t(i) be the second derivative of -i**5/10 + i**4/2 + i**3/3 - 3*i**2 + 5*i. Factor t(s).
-2*(s - 3)*(s - 1)*(s + 1)
Let c(w) = 2*w**2 + 2*w - 4. Let b(k) = 5*k**2 + 4*k - 9. Let m be (-2)/(-5)*(-10 + -5). Let q(o) = m*b(o) + 14*c(o). Factor q(n).
-2*(n - 1)**2
Let y(j) = j + 7. Let x be y(-4). Find u such that -2*u + 4*u**3 + 4*u - 6*u**5 + x*u - 8*u**4 - 3*u + 8*u**2 = 0.
-1, -1/3, 0, 1
Suppose 6*t - t = -15, -y + 3*t + 11 = 0. Solve -2*r + 2/3*r**y + 4/3 = 0.
1, 2
Suppose 4*k = 2*x + 16, -5 = k - 2*x - 15. Suppose 5*g + 2*b - 19 = 0, -3*b + 0*b = -6. Factor -2/3 - 1/3*s**g + 2/3*s**k + 1/3*s.
-(s - 2)*(s - 1)*(s + 1)/3
Factor 2/5*j**4 + 0 + 0*j + 6/5*j**2 + 8/5*j**3.
2*j**2*(j + 1)*(j + 3)/5
Let t(c) be the first derivative of -2*c**5/5 + c**4 - 2*c**2 + 2*c - 1. Factor t(n).
-2*(n - 1)**3*(n + 1)
Suppose 3 = -w - x - 2*x, 0 = 2*w - 3*x - 12. Let s(g) be the first derivative of -1/3*g - 1/6*g**2 + 1/9*g**w + 1/12*g**4 - 2. What is j in s(j) = 0?
-1, 1
Factor -44*k**3 - 88*k + 32/3 + 8/3*k**4 + 1153/6*k**2.
(k - 8)**2*(4*k - 1)**2/6
Suppose 0 = -k - 0 + 4. Let -2*c**4 + k*c**4 - c**3 + 5*c + c**2 - 4*c - 3*c**4 = 0. Calculate c.
-1, 0, 1
Find s such that -2*s - 6*s**3 - 8*s**4 - 12*s**3 - 12*s**2 - 3 + 3 = 0.
-1, -1/4, 0
Suppose g = -0 + 2. Suppose g = 2*q - 2, -5*t - 4*q = -23. Factor f**4 + 2*f**t - 3*f + f**2 + 2*f + f.
f**2*(f + 1)**2
Let k(q) = -509*q**3 - 1773*q**2 - 795*q - 101. Let y(l) = 254*l**3 + 886*l**2 + 398*l + 50. Let h(m) = 2*k(m) + 5*y(m). Find j such that h(j) = 0.
-3, -2/7, -2/9
Let i(d) be the third derivative of 0*d - 1/24*d**6 - 1/20*d**5 + 5/24*d**4 + 2/105*d**7 + 0 - 1/6*d**3 + 8*d**2. Factor i(k).
(k - 1)**2*(k + 1)*(4*k - 1)
Let c(z) be the first derivative of -z**4/30 + 8*z**3/15 - 16*z**2/5 + 6*z - 4. Let t(x) be the first derivative of c(x). Factor t(n).
-2*(n - 4)**2/5
Factor -5*n**3 + 29*n**2 - 59*n**2 - 4*n + 30*n**4 + 9*n.
5*n*(n - 1)*(n + 1)*(6*n - 1)
Let t(x) = -128*x**5 - 352*x**4 - 342*x**3 - 148*x**2 - 30*x - 2. Let r(s) = s**3 - s**2 - s. Let c(j) = 2*r(j) - t(j). Factor c(i).
2*(i + 1)**2*(4*i + 1)**3
Let t(g) be the second derivative of g**6/40 - g**5/30 - g**4/8 + g**3/3 - 5*g**2/2 - 8*g. Let b(p) be the first derivative of t(p). Factor b(o).
(o - 1)*(o + 1)*(3*o - 2)
Let f(n) be the third derivative of -1/180*n**5 + 1/72*n**4 + 0*n - n**2 + 0*n**3 + 0. Solve f(z) = 0.
0, 1
Let n be 8/(-40)*-2*(-10)/(-24). Let 0 + 1/3*i**3 - n*i**4 + 0*i - 1/3*i**5 + 1/6*i**2 = 0. Calculate i.
-1, -1/2, 0, 1
Let x be 64/(-6) - 4