g + 1. Let o be z(4). Let k be 6/27 - o/27*-2. Solve 1/2*b**4 + k - 1/4*b**5 + 0*b + 0*b**2 - 1/4*b**3 = 0.
0, 1
Let i(v) = 25*v**5 - 45*v**4 - 130*v**3 - 230*v**2 - 135*v + 5. Let d(j) = j**5 - 2*j**2 - j + 1. Let b(h) = 30*d(h) - i(h). Factor b(n).
5*(n + 1)**4*(n + 5)
Suppose 0 = 6*y - 5*y - 5. Let b(k) be the second derivative of 1/12*k**3 - 1/40*k**y + 4*k - 1/24*k**4 + 0 + 1/4*k**2. What is l in b(l) = 0?
-1, 1
Let t(z) = -4*z + 4. Let p(m) = m**2 + 3*m - 4. Suppose 0 = 3*y + 12. Let s(h) = y*p(h) - 3*t(h). Find l such that s(l) = 0.
-1, 1
Suppose -865*u + 20 = -860*u, -u = 2*s - 4. Solve 2/11*w**2 + 0*w + s + 12/11*w**4 + 10/11*w**3 = 0 for w.
-1/2, -1/3, 0
Let l(y) = -4*y**2 + 155*y - 6241. Let r(d) = -d**2 - d. Let c(x) = -l(x) + 3*r(x). Factor c(i).
(i - 79)**2
Let l(a) be the first derivative of -2 + 3/8*a**2 + 3/8*a**4 + 5/8*a**3 + 0*a + 3/40*a**5. Factor l(s).
3*s*(s + 1)**2*(s + 2)/8
Let o(a) be the third derivative of 2*a**7/189 + a**6/540 - a**5/135 + 41*a**2. Suppose o(q) = 0. What is q?
-1/2, 0, 2/5
Let k(o) be the second derivative of -o**5/40 - 37*o**4/24 - 34*o**3/3 - 33*o**2 + 122*o. Find z, given that k(z) = 0.
-33, -2
Let o(i) be the third derivative of i**5/300 - 37*i**4/30 + 2738*i**3/15 + 406*i**2. Suppose o(q) = 0. Calculate q.
74
Let q(a) be the third derivative of 5*a**8/1008 - 2*a**7/21 + 13*a**6/18 - 8*a**5/3 + 40*a**4/9 - 113*a**2. Determine f, given that q(f) = 0.
0, 2, 4
Suppose 283 = 3*c - 4*j, 0*c - 3*j + 344 = 4*c. Suppose -32*a + 2*a**3 - 25*a + c*a - 16*a**2 = 0. What is a?
0, 4
Solve -12/5*q**2 + 0 + 4/5*q**4 + 0*q**3 + 8/5*q = 0 for q.
-2, 0, 1
Let b(k) be the second derivative of -10*k**7/21 + 7*k**6/2 - 29*k**5/4 + 5*k**4/2 - 121*k. Solve b(j) = 0.
0, 1/4, 2, 3
Suppose -v - 42 = -4*v. Let r be 56/(-16)*(-1 - (-6)/v). Solve 0*j**r + 0*j + 2/9*j**3 + 0 = 0.
0
Let c(s) be the second derivative of -2*s**7/21 - 2*s**6/15 - 7*s - 4. Factor c(q).
-4*q**4*(q + 1)
Let u be (-9)/3 - (-564)/165. Let v = u - -2/11. Factor 0*s + v*s**2 - 3/5.
3*(s - 1)*(s + 1)/5
Let y = -39 + 57. Suppose 2*u - 4*l = -u - 3, 0 = -2*u - 4*l + y. Factor 1 + 4*s - 2 + 4*s**2 - 6*s**u + 2*s - 3.
-2*(s - 1)*(s + 1)*(3*s - 2)
Let u(g) be the third derivative of g**8/168 - g**7/105 - g**6/12 - g**5/10 + 55*g**2 + 2. Factor u(b).
2*b**2*(b - 3)*(b + 1)**2
Let -8*s - 12*s**3 - 3*s + s - 16*s**2 + 2*s - 4*s**2 = 0. Calculate s.
-1, -2/3, 0
Solve 9/5*r**3 + 0 + 6/5*r - 3/5*r**5 - 3*r**2 + 3/5*r**4 = 0 for r.
-2, 0, 1
Let q(k) = -k**3 - 18*k**2 + 17*k - 35. Let j be q(-19). Factor 4*r**3 + 4*r**4 + 226*r**5 - 224*r**5 - 2*r**j.
2*r**3*(r + 1)**2
Let x(r) be the first derivative of 5*r**6/6 + 10*r**5 + 65*r**4/4 - 140*r**3/3 - 70*r**2 + 160*r + 223. Determine m so that x(m) = 0.
-8, -2, 1
Let a(h) be the first derivative of -2/35*h**5 + 4/21*h**3 + 1/21*h**6 - 1/7*h**4 + 1/7*h**2 - 2/7*h - 9. Find v, given that a(v) = 0.
-1, 1
Let n(r) = 26*r**3 + 25*r**2 - 18*r - 8. Let d(j) = -28*j**3 - 26*j**2 + 16*j + 8. Let y(f) = 5*d(f) + 6*n(f). Factor y(g).
4*(g - 1)*(g + 2)*(4*g + 1)
Suppose -4/3*a**4 + 16/9*a**2 + 4/9*a**5 + 0*a + 0*a**3 + 0 = 0. Calculate a.
-1, 0, 2
Suppose 0 = -0*s + 4*s. Let j(n) = -n**2 + 12*n + s*n**2 - 16*n. Let v(c) = -c. Let f(m) = -j(m) + 3*v(m). Factor f(r).
r*(r + 1)
Let z(m) = 0 - m - m**2 - 4 + 3 + 2*m**2. Let k(n) = -3*n**2 - 10*n - 34. Let h(x) = k(x) + 2*z(x). Factor h(y).
-(y + 6)**2
Let d be -13 + 16 - (5 + -1). Let p(v) = 19*v**2 - 2*v. Let s be p(d). Factor 0 - 6*n - 7 - 5*n**2 + s*n - 3.
-5*(n - 2)*(n - 1)
Suppose 3*m = w - 13, -4*w = m - 17 + 4. Suppose w*j - 2*a = 4, -4*j - 7*a + 6 = -10*a. Suppose 1/3*g**3 + j - 1/3*g + 1/3*g**2 - 1/3*g**4 = 0. Calculate g.
-1, 0, 1
Let y(s) be the first derivative of 3/8*s**4 + 0*s + 3*s**2 + 2*s**3 + 8. Determine r, given that y(r) = 0.
-2, 0
Let v = -5 - -8. Let q = v + -1. Factor -4 + q*t**2 + t**2 - 2 + 3*t**2 + 3*t**3 - 3*t.
3*(t - 1)*(t + 1)*(t + 2)
Let y(m) = m**2 - 3*m - 8. Let d be y(-2). Factor -4 + k**2 - k - d*k**2 + 3*k**2 - k.
2*(k - 2)*(k + 1)
Let q = -2486 - -2488. Let m(y) be the first derivative of 3*y**4 - 9/2*y**2 - 1/2*y**6 + 6*y + 5 + 0*y**5 - q*y**3. Factor m(u).
-3*(u - 1)**3*(u + 1)*(u + 2)
Let a(x) be the second derivative of 1/12*x**4 - 1/2*x**2 + x + 0 + 1/40*x**5 - 1/12*x**3. Factor a(t).
(t - 1)*(t + 1)*(t + 2)/2
Suppose 7*a - 72 = -17*a. Factor 4*m**2 + 10*m + 2/5*m**a + 0.
2*m*(m + 5)**2/5
Let z(o) be the third derivative of -7*o**8/720 - o**7/45 - o**6/45 - o**5/5 + 4*o**2. Let j(p) be the third derivative of z(p). Factor j(d).
-4*(7*d + 2)**2
Let c(z) = -4*z**3 + 8 - 7*z - z + 13*z**3 - 8*z**4 - 17*z**5 + 0*z. Let f(g) = 11*g**5 + 5*g**4 - 6*g**3 + 5*g - 5. Let x(m) = 5*c(m) + 8*f(m). Solve x(s) = 0.
-1, 0, 1
Let g be (90/60 + (-13)/6)*-8. Solve 32/3*x**3 + g + 8/3*x**2 - 12*x - 8*x**4 + 4/3*x**5 = 0.
-1, 1, 4
Suppose 14*k - 54 = -6*k - 7*k. Factor 1/4*p**k - 3/4*p + 0.
p*(p - 3)/4
Let q(l) be the first derivative of -2*l**3/3 - l**2 + 56. Find n such that q(n) = 0.
-1, 0
Suppose -5*l + 2 = 37. Let v(q) = 5*q**3 - 11*q**2 + 2*q - 3. Let p(y) = -3*y**3 + 6*y**2 - y + 2. Let w(j) = l*p(j) - 4*v(j). What is n in w(n) = 0?
-2, -1, 1
Let f(r) be the first derivative of 0*r**2 - 1/2*r**4 + 1 + 0*r + 1/3*r**6 + 2/3*r**3 - 2/5*r**5. What is t in f(t) = 0?
-1, 0, 1
Let v(c) = 9*c**3 - 86*c**2 + 7. Let z(x) = -3*x**3 + 28*x**2 - 2. Let d(s) = -2*v(s) - 7*z(s). Let d(l) = 0. What is l?
0, 8
Let v(i) = -11*i**3 - 78*i**2 + 267*i + 152. Let p(n) = -n**4 - 2*n**3 - 2*n**2 + n + 1. Let a(g) = -2*p(g) + v(g). Factor a(b).
(b - 5)**2*(b + 6)*(2*b + 1)
Let y = -2227/2 - -1115. Suppose -3/2*g**2 - 3/2*g**3 + y*g + 3/2 = 0. What is g?
-1, 1
Let g = -12323/2 - -6162. Find t, given that 0 + 1/2*t**2 - 1/2*t**4 + g*t - 1/2*t**3 = 0.
-1, 0, 1
Let o(d) be the third derivative of d**5/9 - 7*d**4/18 + 181*d**2. Suppose o(r) = 0. Calculate r.
0, 7/5
Let f(g) be the second derivative of 5*g**7/42 - 5*g**6/3 + 17*g**5/4 - 10*g**4/3 + 462*g. What is u in f(u) = 0?
0, 1, 8
Suppose 0 = 3*h - 8*h + 55. Suppose 5 + 2 = o + 3*a, -o - 5*a = -9. Find z, given that -h*z**2 - z - 3*z**3 + 10*z**2 + z**o + 2*z + 0*z + 2*z**5 = 0.
-1, 0, 1/2, 1
Let k(w) be the third derivative of 5*w**8/336 + 2*w**7/21 - 5*w**6/24 + 52*w**2. Factor k(y).
5*y**3*(y - 1)*(y + 5)
Let s(u) be the second derivative of u**4/18 + 5*u**3/3 - 16*u**2/3 - 2*u - 1. Find c, given that s(c) = 0.
-16, 1
Let g(q) = 0 - q + 2 + 8. Let h be g(7). Factor 9*d**4 + 1 - 3*d**2 - 15*d + 15*d**h - 4 - 3.
3*(d - 1)*(d + 1)**2*(3*d + 2)
Factor -3*v**2 + 40*v - 29 + 7 - 83 - 31*v + 99*v.
-3*(v - 35)*(v - 1)
Suppose 3*i + 1 = -2, 5*a - 4*i = 19. Factor -7 - 3 - 3*p**2 + p**4 + 17*p + 3*p**a - 8*p**3.
(p - 5)*(p - 1)**2*(p + 2)
What is t in 60*t**3 - 15/4*t**5 + 0*t + 0 - 69/4*t**4 - 21*t**2 = 0?
-7, 0, 2/5, 2
Let o(i) = -18*i**3 - 3*i**2 + 24*i - 3. Let z(q) = -q**4 + 19*q**3 + 3*q**2 - 23*q + 2. Let f(r) = -2*o(r) - 3*z(r). Factor f(l).
3*l*(l - 7)*(l - 1)*(l + 1)
Let r be (-92)/12 - 2 - -10. Let l(k) be the first derivative of 16/9*k**3 + 5 + 8/3*k - 10/3*k**2 - r*k**4. Factor l(n).
-4*(n - 2)*(n - 1)**2/3
Let o(p) be the second derivative of -2*p**7/21 - 2*p**6/5 + 3*p**5/5 + 11*p**4/3 + 4*p**3 - 79*p. Solve o(a) = 0 for a.
-3, -1, 0, 2
Suppose m = 2*m. Suppose -l - l = 2*p + 6, -p - 4*l - 18 = m. Factor 6*t**p + 3*t**3 - 4*t - 3*t + 3*t + 7*t.
3*t*(t + 1)**2
Let g(q) be the second derivative of -q**5/40 + 7*q**4/4 - 49*q**3 + 686*q**2 - 55*q. Solve g(o) = 0.
14
Let t(n) be the third derivative of n**6/240 + 7*n**5/40 + 49*n**4/16 + 343*n**3/12 - 70*n**2. Let t(p) = 0. What is p?
-7
Solve 0 + 70*b**2 - 315/2*b**4 - 12*b - 49/2*b**5 - 51*b**3 = 0 for b.
-6, -1, 0, 2/7
Let l(a) be the second derivative of 5*a**4/42 + 16*a**3/7 - 20*a**2/7 + 61*a - 2. Factor l(v).
2*(v + 10)*(5*v - 2)/7
Suppose 0 = -67*c - 112*c + 358. Determine k so that -2/17*k**c + 12/17 + 10/17*k = 0.
-1, 6
Suppose 3*v - 9 = -l, -l + 4*l = 4*v + 1. Suppose -5*a + 31 = 3*i, 2*a + 0 = -4*i + 18. Suppose 4*d**v - 2*d**2 + 0*d**2 - 2*d**3 + 4*d + 0*d**i = 0. What is d?
-1, 0, 2
Let z be 2/(-4) + (-9)/(-2). Let i(g) = g**2 - 4*g + 2. Let b be i(4). Determine s, given that -3*s**3 - 2*s**z - 6*s**b + 9*s**5 + 8*s**4 + 6*s**4 = 0.
-1, 0, 2/3
Suppose 1 + 23 