4 + l**3 + l**2 - l. Let u be 1/2*(3 - 5). Let r(y) = u*z(y) - s(y). Factor r(c).
-(c - 1)*(c + 1)**3
Let y be (2/(-4))/((-4)/16). Let b be (28/5)/(9/45). Suppose -28*a - y*a**4 + 2*a**3 + b*a = 0. What is a?
0, 1
Let l(t) = 2*t - 37. Let c be l(19). What is r in 3 - 26*r**2 - 14 - 35*r + c + r**2 = 0?
-1, -2/5
Let y(n) = -4*n**2. Let g(c) = -20*c**2 + 8*c**2 + 10*c**2. Let i(d) = -14*g(d) + 6*y(d). Factor i(u).
4*u**2
Let w(v) be the first derivative of 1/18*v**3 - 36 + 1/2*v**2 + 3/2*v. Factor w(l).
(l + 3)**2/6
Suppose 0 = 5*z + 3*k - 51, 4*k - 22 = -2*z + 2*k. Let q = 12 - z. Find o such that 0*o**3 + o**2 - 3*o**3 + q + 4*o**3 + 0*o - 5*o = 0.
-3, 1
Factor -14*t**3 - 14*t**4 + 18*t**3 + 8*t**2 - 10*t**3.
-2*t**2*(t + 1)*(7*t - 4)
Let -2*u**3 - 2/3*u**2 + 1/3*u**5 + 1 + 5/3*u - 1/3*u**4 = 0. Calculate u.
-1, 1, 3
Suppose 4*y - 89 = 4*c + c, c - 3*y + 20 = 0. Let b = -15 - c. Factor -2*x**4 + 20*x**3 - 2*x**b - 19*x**4 - 2*x**2 + 5*x**4.
-4*x**2*(x - 1)*(4*x - 1)
Let u(y) be the second derivative of -5*y**4/12 - 85*y**3/3 - 160*y**2 + 841*y. Factor u(f).
-5*(f + 2)*(f + 32)
Let n(c) be the first derivative of c**5/30 + c**4/4 + 2*c**3/3 + 2*c**2/3 + 731. Determine a, given that n(a) = 0.
-2, 0
Let j = -301/60 - -107/20. Determine w so that j*w - 1/3*w**3 + 0 + 0*w**2 = 0.
-1, 0, 1
Let b be 2/3*3/5. Let l be 1/(45/21*(-280)/(-48))*5. Solve -4/5*i**3 + 2/5*i**5 - 4/5*i**2 + b*i + l*i**4 + 2/5 = 0 for i.
-1, 1
Let b(v) be the third derivative of 0*v - 2/3*v**4 + 0*v**5 + 0*v**3 + 0 - 15*v**2 + 1/30*v**6. What is w in b(w) = 0?
-2, 0, 2
Let m = -72 + 65. Let x be (0 - (-4)/m)/(6/(-12)). Find s, given that 2/7*s**3 - 2/7*s - x*s**4 + 8/7*s**2 + 0 = 0.
-1, 0, 1/4, 1
Let g(i) be the second derivative of 18*i**6/5 + 9*i**5 - 311*i**4/4 + 49*i**3 - 12*i**2 + 90*i. Factor g(l).
3*(l - 2)*(l + 4)*(6*l - 1)**2
Let v(a) be the third derivative of a**7/16380 + a**6/2340 + 17*a**4/24 + 19*a**2. Let l(o) be the second derivative of v(o). Let l(h) = 0. What is h?
-2, 0
Let c(g) = -g**3 + 14*g**2 - 14*g + 16. Let f be c(13). Factor 9*x**2 + 22 - 12 - 7 + 4*x + 5*x + f*x**3.
3*(x + 1)**3
Let p(r) = 29*r - 1533. Let o be p(53). Solve -7/2*x**3 + 0*x - x**2 - 3/2*x**o + 0 = 0 for x.
-2, -1/3, 0
Let m(y) = -13*y**2 - 11*y - 4. Let i(u) = -6 - 53*u**2 + 7*u**3 - 10 - 43*u - 6*u**3. Let l(n) = 2*i(n) - 9*m(n). Factor l(s).
(s + 1)*(s + 4)*(2*s + 1)
Let p(z) be the first derivative of z**4/24 - 11*z**3/18 - 7*z**2/6 + 4*z - 380. Find l, given that p(l) = 0.
-2, 1, 12
Let s = 1785 - 1782. Let m(i) be the third derivative of 0*i**s + 0 - 1/120*i**5 - 1/16*i**4 + 0*i + 8*i**2. Find p, given that m(p) = 0.
-3, 0
Let j(t) be the first derivative of 1 - t**3 - 1/4*t**6 + 3/2*t + 3/10*t**5 - 3/4*t**2 + 3/4*t**4. Factor j(a).
-3*(a - 1)**3*(a + 1)**2/2
Determine p, given that -3 + 31 - 2*p**2 - 26 = 0.
-1, 1
Let u(q) be the first derivative of q**6/18 - q**4/12 + 22. What is h in u(h) = 0?
-1, 0, 1
Let d(f) = -f - 1. Suppose 21*x = 16*x - 10. Let s(u) = -u**2 - u - 1. Let h(k) = x*d(k) + 2*s(k). Find z such that h(z) = 0.
0
Let b be (-2 - -13) + (-30)/10. What is w in 6*w**5 + 14*w**3 + 45*w**4 + b*w**5 - 36*w**2 + 4*w + 4*w = 0?
-2, 0, 2/7, 1/2
Let y(i) = -3*i**4 + 7*i**3 + 12*i**2 - 58*i + 49. Let q(l) = l**4 - l**3 + 2*l - 1. Let p(u) = -q(u) - y(u). What is v in p(v) = 0?
-3, 2
Let t(w) be the second derivative of 0 + 27/2*w**2 - 5/4*w**4 - 3/20*w**5 - 15*w - 3/2*w**3. Let t(a) = 0. Calculate a.
-3, 1
Let m = -9731/3 + 3245. Solve 0 - m*c - 2/3*c**2 = 0 for c.
-2, 0
Let p(z) be the third derivative of z**5/60 - z**4/12 + z**3/3 + 29*z**2. Let u be p(0). Suppose 2 - 4/3*c - 2/3*c**u = 0. What is c?
-3, 1
Let j = -2/9 + 13/18. Let v = 1349 + -1347. Factor -p + j + 1/2*p**v.
(p - 1)**2/2
Suppose 0 = 5*h - 0*t + 5*t + 60, -36 = 4*h + t. Let u be ((-4)/h)/(2/8). Suppose 0*q**2 + 2*q**2 + u*q - 2*q**2 - 6*q**2 = 0. Calculate q.
0, 1/3
Let h(g) be the first derivative of -g**6/240 + g**4/16 + 11*g**3/3 + 7. Let s(v) be the third derivative of h(v). Factor s(k).
-3*(k - 1)*(k + 1)/2
Determine h so that 4/13*h**2 - 24/13 + 2/13*h**3 - 22/13*h = 0.
-4, -1, 3
Factor -32/5*i - 14/5*i**3 - 116/5*i**2 + 0.
-2*i*(i + 8)*(7*i + 2)/5
Factor 6/7*i**3 + 0*i**4 + 3/7*i - 8/7*i**2 - 1/7*i**5 + 0.
-i*(i - 1)**3*(i + 3)/7
Let b(c) be the second derivative of c**7/105 - c**6/30 + c**4/12 - c**3/15 - 2*c + 24. What is r in b(r) = 0?
-1, 0, 1/2, 1, 2
Let l(n) be the first derivative of 4*n**4 + 4*n**3 + 50*n + 2/5*n**5 + 20 - 40*n**2. Let l(d) = 0. What is d?
-5, 1
Determine h so that -21*h**2 + 18 - 25/3*h**3 - h**4 - 9*h = 0.
-3, 2/3
Solve 2448/19*r - 2592/19 + 2/19*r**3 + 142/19*r**2 = 0.
-36, 1
Let d = -173 + 175. Suppose -8*g**4 - d*g**3 + 3*g**5 + 5*g**3 - 6*g**5 = 0. Calculate g.
-3, 0, 1/3
Suppose u**3 - 22/3*u**2 - 2 + 25/3*u = 0. What is u?
1/3, 1, 6
Let j(l) be the third derivative of l**8/1176 - l**7/245 + l**6/210 - 22*l**2 - 5. Determine b so that j(b) = 0.
0, 1, 2
Factor -57/5*v - 24*v**2 + 2/5 - 61/5*v**3.
-(v + 1)**2*(61*v - 2)/5
Let 24*s + 380*s**3 - 21*s**2 - 6*s - 398*s**3 + 24 - 3*s**4 = 0. Calculate s.
-4, -2, -1, 1
Suppose -2*x - 2 = -3*x. Factor 16*f + 32 + f**x + 12*f + f**2 - 12*f.
2*(f + 4)**2
Suppose -52*w + 87 + 69 = 0. Let g(k) be the first derivative of 2*k**2 + k**w + 4/3*k + 3. Factor g(x).
(3*x + 2)**2/3
Let -23*n**2 - 23*n**2 + 2*n**4 + 2*n**2 - 21*n + 109*n + 2*n**3 + 33 - 81 = 0. What is n?
-6, 1, 2
Let q(k) be the third derivative of -k**6/6 - 7*k**5/15 + k**4 - 138*k**2. Solve q(z) = 0.
-2, 0, 3/5
Let v(j) be the first derivative of j**3/3 + 7*j**2 + 49*j + 302. Factor v(b).
(b + 7)**2
Let j(k) = -2*k - 4. Let z be j(-8). Let i be 21/z - (-1)/4. Solve -2*d**3 - d**i + d**3 - 2*d**3 + 2*d**3 = 0 for d.
-1, 0
Let f(d) be the first derivative of -d**3/4 - 3*d**2/4 - 581. Factor f(s).
-3*s*(s + 2)/4
Let c = 136 + -91. Let f be ((-102)/c + 2)/((-4)/18). Factor 0*h - f*h**3 + 2/5*h**2 + 0.
-2*h**2*(3*h - 1)/5
Let w(q) be the third derivative of -q**7/420 - q**6/40 - q**5/24 + 2*q**2 + 35*q. Find t such that w(t) = 0.
-5, -1, 0
Suppose 4*u - 4 = 0, -14 + 20 = c + 3*u. Suppose 244/7*x**c - 14*x**5 + 0 - 6*x**4 + 16/7*x - 120/7*x**2 = 0. Calculate x.
-2, 0, 2/7, 1
Find v, given that 2/19*v**3 + 30/19*v - 16/19*v**2 + 0 = 0.
0, 3, 5
Find g such that -57/2 - 3/4*g**2 - 117/4*g = 0.
-38, -1
Let f(j) = j**2 + 12*j + 3. Suppose -5*c + 4*m - 16 = 24, -2*c + 5*m = -1. Let r be f(c). Factor 2*x**4 - 36 + 36 + 2*x**4 - 2*x**5 - 2*x**r.
-2*x**3*(x - 1)**2
Let y(s) be the first derivative of 23*s**2 + 8/3*s**3 + 35 - 12*s. Factor y(h).
2*(h + 6)*(4*h - 1)
Let a = 174 + -172. Let s be 0 + a - 2 - (-2 - -2). Factor 1/5*b**4 + 0*b + s*b**2 + 1/5*b**3 + 0.
b**3*(b + 1)/5
Let c(o) = 15*o**4 - 85*o**3 + 140*o**2 - 5. Let v(y) = -8*y**4 + 42*y**3 - 70*y**2 + 3. Let b(z) = 3*c(z) + 5*v(z). Let b(j) = 0. Calculate j.
0, 2, 7
Let v be 8/(-84) + ((-813)/63 - -7) + 9. Factor -2/3*m**v + 24 + 26/3*m**2 - 32*m.
-2*(m - 6)**2*(m - 1)/3
Let t(n) be the second derivative of 1/4*n**4 - n**2 + 0 - 1/2*n**3 - 1/20*n**5 + 2*n. Let p(m) be the first derivative of t(m). Factor p(w).
-3*(w - 1)**2
Let p be (-1116)/496*(-2)/3. Factor 3/4*o**2 + 0 - p*o.
3*o*(o - 2)/4
Suppose -4*v + 54 = 2*v. What is o in 17*o**2 - 14*o**2 + 3*o - v + 3 = 0?
-2, 1
Let x(f) be the second derivative of f**5/200 - 13*f**4/120 - 23*f**3/30 - 8*f**2/5 - 26*f - 11. Factor x(j).
(j - 16)*(j + 1)*(j + 2)/10
Let t(a) be the second derivative of a**5/60 + 43*a**4/36 + 83*a**3/18 + 41*a**2/6 + 168*a. Factor t(c).
(c + 1)**2*(c + 41)/3
Let a(p) be the second derivative of -p**4/6 - 14*p**3/3 - 62*p. Determine m so that a(m) = 0.
-14, 0
Find h such that 12*h**3 + 1/2*h**5 - 16*h**2 - 4*h**4 + 8*h + 0 = 0.
0, 2
Let s(r) = r**3 - 11*r**2 + 10*r + 2. Let f be (-3)/1 - (-26)/2. Let h be s(f). Solve -h*x**2 - 3*x**2 - 3*x + 2*x**2 = 0.
-1, 0
Let f = 865/2 + -425. Let d(h) be the first derivative of -15/2*h**2 + 10*h**3 - f*h**4 - 3 + 3*h + 3*h**5 - 1/2*h**6. Find b, given that d(b) = 0.
1
Suppose -59 = -7*i + 18. Factor -1 - 5*j**3 - 14*j - 4*j**2 + i*j**3 - 3.
2*(j - 2)*(j + 1)*(3*j + 1)
Let v(o) be the third derivative of -o**6/420 + o**5/21 - 3*o**4/28 - o**2 - 16*o. Factor v(i).
-2*i*(i - 9)*(i - 1)/7
Let i be -4*(1 + (-28)/16