4 + 16*o**3 - u*o**2 + 50*o**3 = 0.
0, 2/9, 1
Suppose -2*n + 10 + 5 = -3*d, 0 = -5*n + 4*d + 20. Suppose n*i = -4*i + 16. Factor 25/3*h**i + 2*h**2 - 8/3*h + 40/3*h**3 + 1/3.
(h + 1)**2*(5*h - 1)**2/3
Let n be 12/(-54) - 82/(-126). Let z(x) be the first derivative of 2/7*x**3 + 2/7*x - 1 - n*x**2 - 1/14*x**4. Factor z(s).
-2*(s - 1)**3/7
Let l(o) = -o**3 + 6*o**2 - 5*o + 2. Let b(r) = r + 1. Let t be b(4). Let y be l(t). Factor 22*m - y*m**5 + 2*m**3 - 22*m.
-2*m**3*(m - 1)*(m + 1)
Let h(t) be the first derivative of -3 + 1/2*t**2 - 1/3*t - 1/3*t**3 + 1/12*t**4. Find u, given that h(u) = 0.
1
Factor -3/4*f + 1/4*f**2 + 3/4*f**3 - 1/2 + 1/4*f**4.
(f - 1)*(f + 1)**2*(f + 2)/4
Factor 1/4*s**3 + 0*s - 7/4*s**4 + 0 + 0*s**2.
-s**3*(7*s - 1)/4
Suppose 0 = x + 2*k - 2 + 1, x = 2*k - 7. Let b be (-16)/x + (-12)/(-9). Determine i, given that -8/3*i + 0 - b*i**2 - 7/3*i**4 - 6*i**3 - 1/3*i**5 = 0.
-2, -1, 0
Suppose 0 = -4*g + 4*z + 15 + 21, 0 = 4*g - 3*z - 41. Factor p**4 + 3*p**2 - g*p**5 - 4*p**3 + 17*p**4 - 3*p**2.
-2*p**3*(p - 1)*(7*p - 2)
Let s(k) be the second derivative of -k**7/560 + k**6/120 + k**5/20 - k**4/2 + 3*k**3/2 - 9*k. Let y(j) be the second derivative of s(j). Factor y(b).
-3*(b - 2)**2*(b + 2)/2
Suppose 0 = 2*x - 3*x + 3. Let a(q) be the second derivative of -q - 1/10*q**5 - 4*q**2 - 8/3*q**x - 5/6*q**4 + 0. Solve a(l) = 0.
-2, -1
Let m(i) be the first derivative of i**6/12 - i**5/5 + i**4/8 - 7. Factor m(k).
k**3*(k - 1)**2/2
Let p(h) = -h**2 - h + 3. Suppose 0*f - 4*f = 0. Let u be p(f). Determine l, given that 0 - 2/5*l - 4/5*l**2 - 2/5*l**u = 0.
-1, 0
Suppose 4*s - 3*w - 892 = -58, -5*s = -w - 1048. Let o be s/(-63) + 3 + 1. Factor -16/3*i**3 - o*i**2 + 0 - 10/3*i**4 + 4/3*i.
-2*i*(i + 1)**2*(5*i - 2)/3
Factor -1/4*k**3 + 0 - 1/2*k**2 - 1/4*k.
-k*(k + 1)**2/4
Let x(l) be the second derivative of 0 + 0*l**3 + 1/12*l**4 - 1/4*l**2 - 2*l - 1/60*l**6 + 0*l**5. What is a in x(a) = 0?
-1, 1
Suppose 3*o = -q + 4*q, 0 = 2*q - 3*o + 4. Solve -2*g**3 + 3*g**5 - 1 + 1 - g**q = 0.
-2/3, 0, 1
Let b = -7 - -13. Let v(n) = -5*n**2 - 15*n + 15. Let m(h) = 4*h**2 + 14*h - 14. Let r(q) = b*v(q) + 7*m(q). Factor r(j).
-2*(j - 2)**2
Let u(s) be the first derivative of 8/9*s**3 + 2/3*s + 5/3*s**2 - 3. Let u(i) = 0. What is i?
-1, -1/4
Let b = 82 + -79. Let g(n) be the first derivative of 1/2*n**2 - 4/3*n**3 + b + 2*n + 2/5*n**5 - 1/2*n**4 + 1/6*n**6. Find k, given that g(k) = 0.
-2, -1, 1
Let g(c) be the second derivative of 0*c**2 - 1/48*c**4 + 1/120*c**6 + 0*c**3 + 0 + 0*c**5 - c. Factor g(h).
h**2*(h - 1)*(h + 1)/4
Let k(c) be the first derivative of -c**6/6 + 2*c**5/5 + c**4/4 - 2*c**3/3 - 43. Determine f so that k(f) = 0.
-1, 0, 1, 2
Let h(v) be the first derivative of v**6/24 + v**5/20 - 9. What is l in h(l) = 0?
-1, 0
Let a be (1/6)/((-7)/98). Let k = a + 23/9. Find g, given that 0*g - k*g**2 + 2/9 = 0.
-1, 1
Factor 0*n - 4/7*n**2 + 36/7.
-4*(n - 3)*(n + 3)/7
Let t(h) be the third derivative of -h**10/30240 - h**9/2520 - h**8/560 - h**7/315 - 5*h**4/24 + 5*h**2. Let c(p) be the second derivative of t(p). Factor c(u).
-u**2*(u + 2)**3
Let u = -13 - -15. Let i + 4*i**2 + i**3 - 2*i + 3 - u - 5*i**2 = 0. Calculate i.
-1, 1
Let p(j) = j**3. Let w be p(0). Let u(n) be the third derivative of 2*n**2 + 0*n**3 + 0 - 1/60*n**5 + w*n**4 + 0*n. Let u(a) = 0. What is a?
0
Let l(r) be the third derivative of 0 + 0*r**3 - 1/20*r**5 + r**2 + 0*r**4 + 0*r. Solve l(g) = 0.
0
Let c(u) = u + 1. Let j(a) = 5*a**2 + 27*a + 37. Let r(w) = -3*c(w) - j(w). Factor r(z).
-5*(z + 2)*(z + 4)
Let u = -481 + 3377/7. Let r(f) = -f - 4. Let w be r(-7). Factor 0 - u*n**w + 0*n + 4/7*n**2.
-2*n**2*(5*n - 2)/7
Let a(g) = 2*g**2 - 4*g - 1. Let o be a(3). Suppose -c + 9 = 4*f, 4*f - 5*c + 1 - 4 = 0. Factor o*t**4 + f*t**2 - 4*t**4 + 2*t**2 - 4*t**3.
t**2*(t - 2)**2
Let w(b) = 12*b**3 - 12*b**2 + 3*b + 3. Let f(o) = o**4 + 24*o**3 - 24*o**2 + 7*o + 7. Let a(d) = -3*f(d) + 7*w(d). Factor a(q).
-3*q**2*(q - 2)**2
Let r(d) be the first derivative of -d**6/900 - d**5/200 - d**4/120 + 7*d**3/3 + 7. Let l(x) be the third derivative of r(x). Factor l(t).
-(t + 1)*(2*t + 1)/5
Let l = -83 + 1247/15. Let s(u) be the second derivative of -1/21*u**7 + 0*u**5 + 0*u**4 + 0 - 3*u + 0*u**2 + 0*u**3 + l*u**6. Find z such that s(z) = 0.
0, 2
Let g = 644 + -644. Factor -1/5*x**3 + 0*x - 1/5*x**5 + g*x**2 + 2/5*x**4 + 0.
-x**3*(x - 1)**2/5
Suppose -3*l - 4*d + 38 - 33 = 0, -2*l + d = -7. Solve 0 - 2/5*w**2 + 3/5*w - 1/5*w**l = 0 for w.
-3, 0, 1
Let q = -77 + 79. Factor -12/7*m + 2/7*m**q + 18/7.
2*(m - 3)**2/7
Solve -1/5*w**2 + 0 + 0*w = 0.
0
Suppose -27 = 5*q - 7. Let n be 8/2 + q/2. Factor h - 7/2*h**n - h**3 + 7/2*h**4 + 0.
h*(h - 1)*(h + 1)*(7*h - 2)/2
Let r(f) = 5*f**2 + 52*f. Let v(y) = -2*y. Let h(t) = -r(t) - 6*v(t). Let h(w) = 0. What is w?
-8, 0
Let l = 4 + 2. Let w(a) = -3*a**3 - 7*a + 7. Let b(f) = -f**3 - 2*f + 2. Let k(q) = l*w(q) - 21*b(q). Let k(n) = 0. Calculate n.
0
Let g(u) = -u**4 + 8*u**3 + 9*u**2 + 5. Let c(s) = s**4 - 4*s**3 - 5*s**2 - 3. Let a(n) = -5*c(n) - 3*g(n). Find l such that a(l) = 0.
-1, 0
Let b be ((-32)/(-144))/((-2)/(-3)). Factor 2/3*l**2 + b + 1/6*l**3 + 5/6*l.
(l + 1)**2*(l + 2)/6
Let k be (0 - 3)*6/(-9) + 0. Factor 2/13 + 6/13*g**k - 2/13*g**3 - 6/13*g.
-2*(g - 1)**3/13
Let 4*n**3 + 2*n**4 + 2*n**2 + 168*n - 168*n = 0. Calculate n.
-1, 0
Let t be (-37)/(-15) + (-4)/(-20). Suppose 3*o + 0*w - 12 = 2*w, 0 = 2*w + 6. Suppose t*q**o + 1/3*q - 2/3 + 5/3*q**3 = 0. Calculate q.
-1, 2/5
Let s(a) be the first derivative of -4*a - 2 + 3*a**2 - 2/3*a**3. Find t, given that s(t) = 0.
1, 2
Let m(r) = -r**2 - 6*r + 3. Let c(f) = 3*f**2 + 17*f - 8. Let w = 104 - 74. Suppose -5*t + w = -3*x + 2, 3 = -3*t. Let s(k) = x*m(k) - 4*c(k). Factor s(n).
-(n + 1)**2
What is v in -13 - 8 - 27*v**2 + 3 + 24*v**2 + 21*v = 0?
1, 6
Let u(w) be the second derivative of w**6/180 - w**5/30 + w**4/18 + 60*w. Factor u(i).
i**2*(i - 2)**2/6
Let s(p) = p**5 + p**4 - p**3 - p**2 + p + 1. Let w(o) = -5*o**5 - 9*o**4 + o**3 + 9*o**2 + o - 3. Let q(t) = 6*s(t) + 2*w(t). Suppose q(g) = 0. What is g?
-2, -1, 0, 1
Let i(d) = d - 1. Suppose 0 = -3*a + 2*t - 5, 3*a + 3 = 3*t - 3. Let v(l) = 2*l**2 - 4*l + 8. Let x(y) = a*v(y) - 8*i(y). Factor x(h).
-2*h*(h + 2)
Factor 2/7*a**4 - 10/7*a**3 + 12/7*a**2 - 16/7 + 8/7*a.
2*(a - 2)**3*(a + 1)/7
Let h(d) = -22*d**2 + 10. Let z(n) = -9*n**2 + 4. Suppose 0*i = -i + 9. Let s be (-2)/6 + (-42)/i. Let l(k) = s*h(k) + 12*z(k). Factor l(b).
2*(b - 1)*(b + 1)
Suppose -2*r - 6 = 5*v, -7*r - 15 = -2*r + 5*v. Let y be 1/r - 8/(-24). Find k, given that y - 4/5*k**2 - 2/5*k**3 + 6/5*k**5 + 0*k + 8/5*k**4 = 0.
-1, 0, 2/3
Let c(i) = -4*i**2 - 12*i + 18. Let l be c(-4). What is y in 2*y**5 - 2/3*y**4 + l*y - 2/3 + 4/3*y**2 - 4*y**3 = 0?
-1, 1/3, 1
Let c(u) = -u**3 - 2*u - 6*u + 3*u + 4*u + 1. Let t(d) = 4*d**3 + 4*d**2 + 8*d - 9. Let l(s) = -28*c(s) - 4*t(s). Solve l(m) = 0 for m.
-2/3, 1
Suppose 0 = -2*g + 4*h - 1 + 9, 0 = 4*g + 2*h - 36. Suppose 19*q = 23*q - g. Factor -32/9*y + 14/9*y**3 - 8/9 - 10/9*y**q.
2*(y - 2)*(y + 1)*(7*y + 2)/9
Suppose 3*y - 37 = -5*s, -2*y + 3*s + 28 = 7*s. Let h = y + -2. Factor -6/5*l + 0 - 3/5*l**h.
-3*l*(l + 2)/5
Let d be 2 - 5/((-25)/(-6)). Let h = -6/5 + 8/5. Factor -d*w**3 + 0 + 0*w + 2/5*w**4 + h*w**2.
2*w**2*(w - 1)**2/5
Let i(v) be the first derivative of v**6/9 + 4*v**5/15 + v**4/18 - 2*v**3/9 + 2*v + 2. Let g(s) be the first derivative of i(s). Determine j so that g(j) = 0.
-1, 0, 2/5
Suppose -1 - 1/5*w**2 - 6/5*w = 0. What is w?
-5, -1
Let q(p) = -3*p**4 + 15*p**3 + 11*p**2 + 7*p + 7. Let f(g) = g**4 - 7*g**3 - 5*g**2 - 3*g - 3. Suppose -5*d = -d + 56. Let c(i) = d*f(i) - 6*q(i). Factor c(n).
4*n**2*(n + 1)**2
Let l be (-1 - -55)*4/(-6). Let r be -3*(-3)/l*-1. Factor -r*q + 1/4*q**2 + 0.
q*(q - 1)/4
Let u(p) be the second derivative of p**4/60 + 2*p**3/15 + 2*p**2/5 - 7*p. What is d in u(d) = 0?
-2
Let j(w) be the first derivative of 1/3*w**2 + 0*w - 2 + 1/6*w**4 + 4/9*w**3. Determine p so that j(p) = 0.
-1, 0
Let j(x) be the third derivative of x**9/50400 - x**8/7200 + x**7/6300 + x**5/15 + 3*x**2. Let h(k) be the third derivative of j(k). Find w such that h(w) = 0.
0, 1/3, 2
Let m(o) = -o**3 - o**2 + o - 1. Let x be m(-2). Factor 3