2, -1, 0, 3
Suppose 8*i - 2*i + 8*i = 0. Suppose 0 = -2*l + 8, q + 4*l - 5 - 11 = 0. Determine y so that i*y + 3/5*y**3 + q + 0*y**2 = 0.
0
Let d(h) be the second derivative of h**4/3 - 7*h**3/6 + 5*h**2 + 23*h. Let w(c) = -1. Let p(o) = 5*d(o) + 35*w(o). Suppose p(m) = 0. Calculate m.
3/4, 1
Let b(m) = -20*m**3 - 60*m**2 - 15*m - 5. Let t(i) = -20*i**3 - 61*i**2 - 12*i - 6. Let c(q) = -6*b(q) + 5*t(q). What is l in c(l) = 0?
-2, -3/4, 0
Let x(k) be the first derivative of -k**5/10 + 11*k**4/12 + 4*k**3/3 - 9*k**2/2 - k + 27. Let t(v) be the second derivative of x(v). Factor t(g).
-2*(g - 4)*(3*g + 1)
Let x(l) = -5*l**2 + 22*l + 78. Let u(v) = 40*v**2 - 180*v - 625. Let o(b) = 3*u(b) + 25*x(b). Factor o(h).
-5*(h - 5)*(h + 3)
Let p(v) be the second derivative of 9*v**5/20 + 7*v**4 + 9*v**3/2 - 40*v - 2. Factor p(g).
3*g*(g + 9)*(3*g + 1)
Suppose 53 - 28*a**2 - 25 + 31 + 10*a**4 - 9 - 55*a + a**5 + 22*a**3 = 0. Calculate a.
-5, -2, 1
Let z = 4/309 + 919/618. Let x(c) be the first derivative of c + 3 + z*c**2 + 1/4*c**4 + c**3. Let x(o) = 0. Calculate o.
-1
Let p = 2 + 40. Factor 30*n**2 - 24*n**3 - 3*n**5 - 8*n**4 - 7*n**4 - p*n**2.
-3*n**2*(n + 1)*(n + 2)**2
Let u(g) be the third derivative of g**5/45 + 11*g**4/18 + 16*g**3/3 + 259*g**2. Factor u(x).
4*(x + 3)*(x + 8)/3
Let u be 3 + 2 + 0 + (-6)/(-2). Let c(k) be the third derivative of -4*k**5 - u*k**4 - 16/3*k**3 + 0*k + 25/7*k**7 + 0 + 10/3*k**6 + 11*k**2. Factor c(b).
2*(3*b - 2)*(5*b + 2)**3
Let v(p) be the second derivative of -p**7/105 - 3*p**2 + 7*p. Let z(t) be the first derivative of v(t). Determine f, given that z(f) = 0.
0
Factor 9/7*r**3 + 0 + 0*r + 6/7*r**4 - 6/7*r**2.
3*r**2*(r + 2)*(2*r - 1)/7
Let w(c) be the third derivative of c**9/6048 - c**8/672 + c**7/240 - c**6/240 + 3*c**3/2 - 16*c**2. Let y(b) be the first derivative of w(b). Factor y(x).
x**2*(x - 3)*(x - 1)**2/2
Let m(s) be the third derivative of 5/72*s**4 + 14*s**2 + 1/9*s**3 + 0*s + 1/90*s**5 + 0. Factor m(n).
(n + 2)*(2*n + 1)/3
Let a(u) = 3*u**4 + 14*u**3 - 10*u**2 - 7*u - 7. Let v(m) = 2*m**4 + 9*m**3 - 7*m**2 - 4*m - 5. Let w(s) = -5*a(s) + 7*v(s). Suppose w(b) = 0. What is b?
-7, -1, 0, 1
Let u(b) = b**2 - 1. Let g be u(0). Let r(m) = -2*m. Let v be r(g). Determine f, given that 147*f - 53 - 39*f - 50*f**v - 55 + 14*f**2 + 4*f**3 = 0.
3
Let b(u) be the first derivative of 4/5*u**5 + 15 + 8*u**4 - 64*u + 20*u**3 - 16*u**2. Factor b(d).
4*(d - 1)*(d + 1)*(d + 4)**2
What is z in -60*z**3 - z + z - 220*z**5 + 432*z**5 - 40*z**4 - 217*z**5 = 0?
-6, -2, 0
Let r(t) be the first derivative of -t**4/4 + 13*t**3/3 + 35. Factor r(o).
-o**2*(o - 13)
Suppose -5*m + 6*l - 5*l + 15 = 0, 5*m - 15 = -2*l. Let i(f) be the first derivative of -1/8*f**2 + 0*f + 1/16*f**4 + 0*f**3 - m. Factor i(o).
o*(o - 1)*(o + 1)/4
Factor -4283*d**2 + 142*d**2 + 122*d - 382*d + 3 - 84*d**2 - 7.
-(65*d + 2)**2
Let b be 3 - (3/5)/(16/80). Let v(s) be the first derivative of -2/3*s**3 + b*s - 2*s**2 + 5. Factor v(l).
-2*l*(l + 2)
Let v = -9243 - -18487/2. Factor v - 1/4*s**2 - 1/4*s.
-(s - 1)*(s + 2)/4
Let v = 322/237 + -2/79. Suppose 478*a + 2 = 479*a. Factor 0 - 1/3*z**3 - 4/3*z**a - v*z.
-z*(z + 2)**2/3
Let 2/3*y**3 + 0 + 2/3*y**5 + 2*y**4 - 2*y**2 - 4/3*y = 0. Calculate y.
-2, -1, 0, 1
Let m(i) = 37*i + 853. Let q be m(-23). Solve 2/5*n - 4/15*n**3 + 12/5*n**4 - 6/5*n**5 - 8/5*n**q + 4/15 = 0.
-2/3, -1/3, 1
Solve -31/2 + 1/2*x**2 + 15*x = 0.
-31, 1
Let s(c) be the second derivative of c**10/30240 + c**9/7560 + c**8/6720 + 3*c**4/4 - c. Let w(o) be the third derivative of s(o). Find j such that w(j) = 0.
-1, 0
Suppose 2*f - 2*z + 140 = -0*f, 2*f + 5*z + 147 = 0. Let o = -354/5 - f. Find i, given that 1/5*i - 2/5 + o*i**2 = 0.
-2, 1
Solve 4*v**3 - 6*v + 0 + 4 + 4*v**2 + 2*v**5 - 2 - 6*v**4 = 0.
-1, 1
Let c(v) = v + 5. Let b be c(0). Find l such that -4*l + 0*l**2 + b*l**2 - l**2 - l**3 = 0.
0, 2
Let x(p) = -5*p**4 + 5*p**2 - 4*p. Let t(l) = 70*l**4 - 70*l**2 + 55*l. Let w be 434/(-8) + 9/(-12). Let m(i) = w*x(i) - 4*t(i). Suppose m(s) = 0. Calculate s.
-1, 0, 1
Let k(m) be the second derivative of 0 - 4/5*m**5 - 14*m + 31/6*m**3 - 14/3*m**4 - 2*m**2. Suppose k(s) = 0. What is s?
-4, 1/4
Let -1/2*w**4 - 1/6*w**3 + 1/3*w - 1/6*w**5 + 1/2*w**2 + 0 = 0. What is w?
-2, -1, 0, 1
Suppose i + 25 = 9. Let j = 20 + i. Factor -16*b - 4 + 34*b - 4*b**2 - j*b**2.
-2*(b - 2)*(4*b - 1)
Let t = 3 - 1. Let p be 1 - 4 - (-448)/140. What is h in 0 + p*h - 1/5*h**t = 0?
0, 1
Let f(c) be the first derivative of -8/7*c**2 - 12/7*c - 4/21*c**3 + 22. Solve f(h) = 0 for h.
-3, -1
Let r be (24/36)/(24/27 + -1). Let n be (-10 + -10 + 5)*2/r. Factor 3/2*d**n + 0 - 1/2*d**3 + 0*d - d**4 + 0*d**2.
d**3*(d - 1)*(3*d + 1)/2
Let c(n) be the third derivative of -18*n**2 + 0*n - 1/96*n**4 + 0*n**3 - 1/240*n**5 + 0. Find a, given that c(a) = 0.
-1, 0
Let i(o) = -4 - 1 + 5 + 5*o + o**3. Let b(g) = 3*g**3 + 11*g - 1. Let t(c) = 2*b(c) - 5*i(c). Factor t(d).
(d - 2)*(d + 1)**2
Let i = 4 + 1. Suppose 0 = 4*k - 5*k, -k = c - i. Factor 40*p + 8*p**2 - 2*p**3 - 6*p**3 - 36*p - 4*p**4 + 4*p**c - 4.
4*(p - 1)**3*(p + 1)**2
Let d(j) be the third derivative of j**8/448 + j**7/280 - 9*j**6/160 + 11*j**5/80 - j**4/8 + 429*j**2. Factor d(f).
3*f*(f - 1)**3*(f + 4)/4
Let p(g) be the first derivative of -578*g**4 + 2380*g**3/3 - 137*g**2/4 + g/2 - 137. Determine z, given that p(z) = 0.
1/68, 1
Let v(s) be the second derivative of -1/18*s**3 - 1/18*s**4 + 1/60*s**5 + 0 + 1/3*s**2 + 22*s. Factor v(d).
(d - 2)*(d - 1)*(d + 1)/3
What is z in -12/5*z + 0 + 4/5*z**2 + 1/5*z**4 + 7/5*z**3 = 0?
-6, -2, 0, 1
Let r = 42/325 - -2474/975. Factor -28/3*z + r*z**3 - 2 - 14/3*z**2.
2*(z - 3)*(z + 1)*(4*z + 1)/3
Let t(z) be the second derivative of z + 1/3*z**2 + 0 - 1/36*z**4 + 1/18*z**3. Factor t(i).
-(i - 2)*(i + 1)/3
Suppose 4*i + 14 = -n, -4*n = 7*i - 6*i + 71. Let x = 20 + n. Factor 2/9*s**x - 2/9*s - 4/9.
2*(s - 2)*(s + 1)/9
Suppose 300 = 129*a - 126*a. Let m be (4/a)/((-3)/(-15)). Factor -m*f**2 - 4/5 - 4/5*f.
-(f + 2)**2/5
Let n(a) be the third derivative of a**5/20 - a**4/8 - 3*a**3 - 12*a**2 + 5*a. What is h in n(h) = 0?
-2, 3
Let m be 11/(-33)*9 - (31/(-6) - -2). Let -2/3*u**2 + 0*u + m*u**4 + 0*u**3 + 0 = 0. Calculate u.
-2, 0, 2
Factor -47*a**3 - 45*a**5 + 15*a**4 - 10*a - 5*a**3 + 130*a**4 - 113*a**3 + 75*a**2.
-5*a*(a - 1)**3*(9*a - 2)
Suppose -25*r = -13 - 37. Let a(j) be the third derivative of 0*j**3 + 0*j + 0 - 1/24*j**4 - 1/30*j**5 + 4*j**r - 1/120*j**6. Factor a(u).
-u*(u + 1)**2
Let d = 112 - 107. Suppose -6*a**4 + 2*a**5 - 103*a - 3*a**3 + 103*a - 5*a**d = 0. Calculate a.
-1, 0
Let o = -850 - -850. Suppose 0 - 2/9*n**4 + o*n + 0*n**2 + 2/9*n**3 = 0. What is n?
0, 1
Suppose 281*u - 11 - 551 = 0. Factor 4/3 - u*n**2 - 10/3*n.
-2*(n + 2)*(3*n - 1)/3
Let f be ((-1)/5 - 1)*(-125)/(-50). Let v be (-10)/10*((-1 - f) + -4). Find m, given that -m + 1/2 + 1/2*m**v = 0.
1
Let a(s) = s**2 + 8*s - 8. Let m be a(-9). Let j be (5 + (-4 - m))*1. Find n, given that -2/11*n**3 + j*n - 2/11*n**2 + 0 = 0.
-1, 0
Suppose 1092 = 4*h + 4*p, 566 = 7*h - 5*h - 3*p. Let u = h - 277. Factor -1/3*t**5 + 1/3*t**3 + u + 0*t - 1/3*t**4 + 1/3*t**2.
-t**2*(t - 1)*(t + 1)**2/3
Let h(l) be the third derivative of l**7/504 - l**5/24 + l**4/8 + 4*l**2. Let o(i) be the second derivative of h(i). Factor o(m).
5*(m - 1)*(m + 1)
Let k(j) be the second derivative of -3*j**8/1120 - j**7/105 + 11*j**6/360 - j**5/30 + 5*j**4/6 + 7*j. Let a(f) be the third derivative of k(f). Factor a(w).
-2*(w + 2)*(3*w - 1)**2
Let c(w) = -4*w**5 - w**4 + 4*w**3 + 5*w**2 - 5*w + 5. Let n(z) = z**4 - z**3 - z**2 + z - 1. Let d(q) = -4*c(q) - 20*n(q). Find v such that d(v) = 0.
0, 1/2
Let d(b) = b**2 - 13*b - 28. Let m be d(9). Let u be 48/m*(-4)/18. Factor 0 - 1/6*g**3 - u*g**2 + 1/6*g**4 + 1/6*g.
g*(g - 1)**2*(g + 1)/6
Let w(b) be the third derivative of -b**5/330 + b**4/33 - 4*b**3/33 + 12*b**2 - 2. Factor w(o).
-2*(o - 2)**2/11
Let r be 0*4/(-12)*(-2 + -1). Let d be (0 + r)*2/2. Find f, given that -1/5*f**2 + 3/5*f + d = 0.
0, 3
Let c = -795 + 26237/33. Let m = c + 20/33. Factor 1/3 - m*s**3 + 0*s - s**2.
-(s + 1)**2*(2*s - 1)/3
Let u = 1/470 + 1869/5170. Let f = u + -1/33. Find d such that -1/3*d**3 - d - f - d**2 = 0.
-1
Suppose f - 51 = -q,