that k(w) = 0.
-1, 1
What is x in -27 + 16*x + 3*x**2 + 10*x - 50*x = 0?
-1, 9
Let d be 1/(2 + 111/(-57)). Suppose -n = 4*r - d, -2*r - n - 2*n + 17 = 0. Factor -6/7*m**r + 8/7*m**3 + 0 + 0*m - 2/7*m**2.
-2*m**2*(m - 1)*(3*m - 1)/7
Let m be (4 - (116/24 + -1))*3. Suppose l + 0*l = 0. Factor m*g**2 + 0*g + l.
g**2/2
Suppose q - 3*q**2 + 2*q**2 - q**2 - q**3 + 16 - 14 = 0. Calculate q.
-2, -1, 1
Let g(q) = 2*q + 2. Let o(h) = -h**5 + h**4 + h**3 - h**2 + 5*h + 5. Let u = -7 + 12. Let l(s) = u*g(s) - 2*o(s). Factor l(t).
2*t**2*(t - 1)**2*(t + 1)
Solve 1/2*m**4 + 0 - 13/2*m**3 + 6*m**5 + 1/2*m - 1/2*m**2 = 0.
-1, -1/3, 0, 1/4, 1
Let y = -144 + 144. Let a(t) be the second derivative of y*t**2 - 1/60*t**5 + 0 - 2*t + 0*t**4 + 0*t**3 + 1/45*t**6 - 1/126*t**7. Solve a(b) = 0.
0, 1
Let o be 34/9 + 6/27. Suppose f + 10 = 5*u, -f = 2*u - 5*f - o. Let -1/5*z**u - 1/5*z + 2/5 = 0. What is z?
-2, 1
Let f(k) be the second derivative of 1/21*k**4 + 1/21*k**3 - 1/147*k**7 - 2/105*k**6 + 0 + 0*k**5 - 3*k + 0*k**2. Determine q, given that f(q) = 0.
-1, 0, 1
Let p(k) be the third derivative of 0*k - 4*k**2 + 0 + 1/90*k**6 - 5/36*k**4 + 2/9*k**3 + 1/90*k**5. Determine c, given that p(c) = 0.
-2, 1/2, 1
What is z in 0*z - 6*z**3 + 0 + 15/4*z**4 - 3/4*z**5 + 3*z**2 = 0?
0, 1, 2
Let i(s) = 2*s**3 + 1. Let m be i(-1). Let y be (-2 - (1 + 0))*m. Factor 0*n**2 + 1/5*n**y + 0*n + 0.
n**3/5
Suppose -4 = -0*k - 2*k. Suppose 10 = 3*n + 4*j, 0 = -3*n + 5*j + 4 - 3. Solve 0*s**k + s - 2*s**n + s**2 = 0 for s.
0, 1
Let c(n) be the second derivative of n**6/15 - 3*n**5/5 + 2*n**4 - 8*n**3/3 - 4*n. Let c(i) = 0. What is i?
0, 2
Let s(d) be the second derivative of 3*d**4 + 9/2*d**2 + 0 + 8*d + 5*d**3 + 9/10*d**5 + 1/10*d**6. Factor s(o).
3*(o + 1)**3*(o + 3)
Suppose 0 = -2*q + 8 - 2. Let g be (-4)/6 + 14/q. Let -5*d**4 + 4*d**3 + 2 - 5*d**g + 0*d**4 + 6*d**5 + 12*d**2 - 10*d - 4*d**4 = 0. What is d?
-1, 1/3, 1
Let t(j) = 19*j**3 - 18*j**2 + 7*j + 31. Let p(y) = 3*y**3 - 3*y**2 + y + 5. Let r(m) = 39*p(m) - 6*t(m). Factor r(s).
3*(s - 3)*(s - 1)*(s + 1)
Let l(f) be the third derivative of f**5/60 + 5*f**4/12 + 25*f**3/6 + 12*f**2. Factor l(m).
(m + 5)**2
Suppose 0*j = 5*j - 5. Let w(x) be the first derivative of j + 2*x**3 + 0*x + x**2 - 6/5*x**5 - 1/2*x**4. Solve w(u) = 0.
-1, -1/3, 0, 1
Find h, given that -6*h + 3 - 2*h + 4*h**4 + 8*h**3 - 3 - 4*h**2 = 0.
-2, -1, 0, 1
Suppose -4 = -5*h + 71. Factor -h*k**3 + 11*k**3 + k + 3*k - 6*k**2.
-2*k*(k + 2)*(2*k - 1)
Factor -12/5*p + 16/5 - 4/5*p**2.
-4*(p - 1)*(p + 4)/5
Let s = -765 + 3839/5. Let t(r) be the second derivative of -2*r**2 - 43/6*r**4 - s*r**5 + 0 - 17/3*r**3 - 2*r. Suppose t(p) = 0. What is p?
-1, -2/7, -1/4
Factor 0 - 2/11*k + 2/11*k**3 + 0*k**2.
2*k*(k - 1)*(k + 1)/11
Let f(k) be the first derivative of -k**3/15 - 2*k**2/5 - 4*k/5 - 3. What is w in f(w) = 0?
-2
Let a(n) = -n - 1. Let y(v) = -3*v**3 - 5*v**2 + 2*v + 4. Let d(h) = 4*a(h) + y(h). Let l(w) = w**3 + 2*w**2 + w. Let p(z) = 2*d(z) + 5*l(z). Factor p(i).
-i*(i - 1)*(i + 1)
Factor 20*i**3 - 34*i**3 + 17*i**3 - 3*i**5.
-3*i**3*(i - 1)*(i + 1)
Let d(i) = 4*i**2 - 5*i - 4. Let t(p) = -2*p**2 + 2*p + 2. Suppose -5*x - j + 9 = -3*x, 5 = -5*j. Let y(w) = x*t(w) + 2*d(w). Factor y(l).
-2*(l - 1)*(l + 1)
Let o(m) be the second derivative of -9/28*m**4 + 1/7*m**3 + 0*m**2 - 11/70*m**6 + 0 + 7*m + 9/28*m**5 + 3/98*m**7. Let o(t) = 0. Calculate t.
0, 2/3, 1
Let y(i) be the third derivative of 7*i**2 + 0*i - 1/140*i**7 + 0 - 1/120*i**6 + 1/24*i**4 - 1/12*i**3 + 1/30*i**5. Determine g, given that y(g) = 0.
-1, 1/3, 1
Suppose -w - 1 = -2*k, -5*k = -w + 3*w - 7. Let x(u) be the first derivative of -2/35*u**5 + 0*u**4 + 0*u**2 - k - 2/7*u + 4/21*u**3. What is d in x(d) = 0?
-1, 1
Let c(h) be the third derivative of h**5/60 - h**4/4 + 3*h**3/2 - 3*h**2. Let c(a) = 0. Calculate a.
3
Let s(h) be the third derivative of h**7/80 + h**6/48 - h**5/40 - 2*h**3/3 + 4*h**2. Let p(q) be the first derivative of s(q). Determine r, given that p(r) = 0.
-1, 0, 2/7
Let f(n) be the first derivative of -2*n**3/27 + 4*n**2/3 - 8*n - 6. Let f(c) = 0. What is c?
6
Let r(g) be the third derivative of g**7/42 + 9*g**6/40 + g**5/2 + g**4/3 + 42*g**2. Factor r(o).
o*(o + 1)*(o + 4)*(5*o + 2)
Let b(s) be the third derivative of s**8/840 - s**6/60 + s**5/30 + 3*s**3/2 - 9*s**2. Let f(n) be the first derivative of b(n). Factor f(v).
2*v*(v - 1)**2*(v + 2)
Let y be (-2 + 3)*1 + -1 + 3. Factor 0*d**2 - 1/4*d**y + 0 - 1/4*d**4 + 0*d.
-d**3*(d + 1)/4
Let p(l) be the third derivative of -l**5/30 + l**4/6 + l**2 - 5. Factor p(v).
-2*v*(v - 2)
Let p(w) = -w**3 - w - 1. Let a(h) = 8*h**3 + 2*h + 5. Let z(j) = a(j) + 5*p(j). Solve z(y) = 0 for y.
-1, 0, 1
Let r(m) be the second derivative of m**8/504 + m**7/105 - 2*m**5/45 - 3*m**2/2 + 2*m. Let c(g) be the first derivative of r(g). Determine s so that c(s) = 0.
-2, 0, 1
Let y(o) be the third derivative of o**7/70 + 9*o**6/40 + 6*o**5/5 + 2*o**4 + 41*o**2. Determine i, given that y(i) = 0.
-4, -1, 0
Let b(j) be the second derivative of -1/4*j**4 + 1/2*j**3 + 0*j**2 + 11*j - 3/20*j**5 + 1/10*j**6 + 0. Solve b(a) = 0 for a.
-1, 0, 1
Let z(c) = -4*c - 4. Let o be 6/1*(-2)/4. Let b(a) = a**2 - 3*a - 4. Let g(x) = o*z(x) + 2*b(x). Let g(d) = 0. Calculate d.
-2, -1
Let q(v) be the first derivative of 2/3*v**3 + 7 + 0*v**2 + 0*v + 0*v**4 - 2/5*v**5. Find x such that q(x) = 0.
-1, 0, 1
Let j(z) be the first derivative of -49*z**4/4 + 322*z**3/3 - 86*z**2 + 24*z + 23. What is h in j(h) = 0?
2/7, 6
Let r = 117/2 - 58. Factor 1/2*m + 0 + r*m**3 + m**2.
m*(m + 1)**2/2
Let y(w) be the first derivative of 4*w**5/19 - w**4/2 + 4*w**3/19 + 5*w**2/19 - 4*w/19 - 7. Find m such that y(m) = 0.
-1/2, 2/5, 1
Let n = 276 + -1095/4. Suppose -3/2*q**2 + n*q - 3/4 = 0. What is q?
1/2, 1
Let y(z) be the first derivative of z**7/3360 - z**6/360 + z**5/96 - z**4/48 + 2*z**3/3 - 2. Let t(f) be the third derivative of y(f). Factor t(l).
(l - 2)*(l - 1)**2/4
Let f(j) be the second derivative of j**4/36 + j**3/9 - 3*j. Factor f(c).
c*(c + 2)/3
Let z = 238/55 - 30/11. Factor -48/5*l + 98/5*l**3 - z - 42/5*l**2.
2*(l - 1)*(7*l + 2)**2/5
Let u(v) be the first derivative of -3 - 10/3*v**3 + 9/2*v**2 - 5/6*v**6 - v**4 + 12/5*v**5 - 2*v. Factor u(k).
-(k - 1)**3*(k + 1)*(5*k - 2)
Suppose -1/2*k**2 - 1/2*k**4 + 0*k + 0 - k**3 = 0. Calculate k.
-1, 0
Factor -26 + 4*y + 6*y**3 + 20*y**2 + 26 + 10*y**3.
4*y*(y + 1)*(4*y + 1)
Let k be 4/(-2) - (4 + (-24)/4). Solve 0 + k*v**3 - 4/3*v**2 + 4/3*v**4 - 2/3*v**5 + 2/3*v = 0 for v.
-1, 0, 1
Let t = 20 - 18. Let p(u) be the first derivative of -1/2*u**3 - 3/4*u**t - 1/8*u**4 - 1/2*u - 1. Find n, given that p(n) = 0.
-1
Let h(l) be the first derivative of -l**8/84 + l**7/35 - l**6/60 - l**2 - 2. Let a(j) be the second derivative of h(j). Suppose a(v) = 0. Calculate v.
0, 1/2, 1
Let q(o) be the second derivative of o**8/6720 - o**7/1680 + o**6/1440 - 5*o**3/3 + 6*o. Let a(y) be the second derivative of q(y). Factor a(z).
z**2*(z - 1)**2/4
Solve 9*i**4 - 11*i**4 - 10*i**2 + 20*i**3 - 5*i + 12*i**4 - 15*i**5 = 0 for i.
-1, -1/3, 0, 1
Suppose -2/5*k**2 + k**3 + 0 + 7/5*k**4 + 0*k = 0. What is k?
-1, 0, 2/7
Let t = -6 + 10. What is v in 46*v**3 - 22*v**2 - 3*v**5 - 14*v**5 + 8 + 3*v**5 - 36*v**2 + 8*v + 10*v**t = 0?
-2, -2/7, 1
Let l be ((-2)/3)/((-1)/6). What is v in 3 - 4*v**3 - v**4 + 3*v**4 + l*v - 5 = 0?
-1, 1
Let i = -611 - -1223/2. Factor 4*t**3 + 9/2 + 11*t**2 + 12*t + i*t**4.
(t + 1)**2*(t + 3)**2/2
Let t = 106 - 76. Let y(p) be the first derivative of t*p**2 - 2592*p**5 + 6*p - 3 - 8*p - 381*p**3 + 141*p**3 + 1080*p**4 + 2592*p**6. Factor y(h).
2*(6*h - 1)**5
Let u(y) be the first derivative of 0*y - 2 - y**2 - 2/3*y**3. Factor u(h).
-2*h*(h + 1)
Let q(i) be the third derivative of 1/1176*i**8 + 0*i**3 + i**2 + 0 + 2/105*i**5 + 0*i**4 + 0*i**6 - 1/245*i**7 + 0*i. Factor q(l).
2*l**2*(l - 2)**2*(l + 1)/7
Suppose 8 = 4*u - 2*m, -m - 1 = 3*u - 7. Determine k so that -9/2*k**5 - 3 - 6*k**4 + 6*k**3 + 9*k**u - 3/2*k = 0.
-1, 2/3, 1
Let y(v) be the third derivative of -v**6/540 + v**5/90 + v**3/3 - 2*v**2. Let k(a) be the first derivative of y(a). Factor k(g).
-2*g*(g - 2)/3
Let o(u) = u + 11. Let d be o(-8). Suppose -d*h = 2*t + 2*h - 12, -4*h = 0. Factor -6*