**4 - 7*o**3 + 5*o**5 - 22*o**2 + 24*o + 3*o**5 + 13*o**4 = 0.
-4, -3, 0, 1, 2
Solve 3/2*k - 1/2*k**2 + 2 = 0.
-1, 4
Let a = -3679 + 3679. Factor -15/2*d**4 + 0*d - 5/2*d**2 + a + 15/2*d**3 + 5/2*d**5.
5*d**2*(d - 1)**3/2
Suppose -3*l + 18 = -4*y - y, 2*l - 2*y = 16. Suppose -2*z + 0*z + 18 = -3*j, -5*j - l = 3*z. Factor 1/4 + 4*i**4 + 2*i + 8*i**z + 6*i**2.
(2*i + 1)**4/4
Suppose 13*s = 14*s - 2. Let x = 5 - 3. Solve -s*f**2 - 4*f - 4*f**3 - x*f**4 + 4*f + 0*f**2 = 0.
-1, 0
Suppose -s - 4*q = -9, -67 = -2*s - s - 2*q. Suppose 3*a = 5*o, 2*a - s = o - 6*o. Solve -2*t**4 + 0*t**4 + 4*t**o + 6*t**4 + 2*t**2 - 2*t**4 = 0 for t.
-1, 0
Let u(w) be the second derivative of -w**4 - 214*w**3/3 - 140*w**2 - 688*w. Suppose u(i) = 0. What is i?
-35, -2/3
Let z = 44 + -40. Suppose u + z = -2*i - 0, -i - u = 4. Factor 0*f**2 + 0 + 2/7*f**3 + i*f.
2*f**3/7
Let r(v) be the first derivative of v**3/9 + 5*v**2/3 - 11*v/3 - 182. Find s such that r(s) = 0.
-11, 1
Let -5*s**5 + s**4 - 80*s + 126*s**2 - 2775 + 2775 + 74*s**2 - 165*s**3 + 49*s**4 = 0. Calculate s.
0, 1, 4
Let f(s) = -s**3 + 79*s**2 + 400*s + 320. Let t = -126 + 127. Let o(z) = -z**3 - z**2. Let u(a) = t*f(a) - 6*o(a). Solve u(l) = 0 for l.
-8, -1
Let x(n) = 6*n**4 + 48*n**3 + 79*n**2 - 35*n - 131. Let d(i) = 3*i**4 + 24*i**3 + 39*i**2 - 18*i - 66. Let y(s) = 11*d(s) - 6*x(s). Solve y(l) = 0 for l.
-5, -2, 1
Factor 23/3 + 53/2*h + 18*h**2 - 5/6*h**3.
-(h - 23)*(h + 1)*(5*h + 2)/6
Let t(o) be the second derivative of o**5/4 - 20*o**4 + 155*o**3/2 - 115*o**2 + 3*o - 84. Suppose t(a) = 0. What is a?
1, 46
Solve 35/2*z - 18*z**2 - 11*z**3 + 21*z**4 - 3 - 13/2*z**5 = 0.
-1, 3/13, 1, 2
Let t(a) = -9*a + 33. Let l be t(-6). Let r = -433/5 + l. Determine k, given that 2/5*k**2 + r*k - 4/5 = 0.
-2, 1
Let a(q) = q**3 + 126*q**2 + 606*q + 10. Let j be a(-5). Suppose 3/2*r**3 - 3/2*r**2 - 3/2*r**j + 0*r + 3/2*r**4 + 0 = 0. What is r?
-1, 0, 1
Let t(z) be the first derivative of 1/2*z - 1/8*z**2 + 8 - 1/12*z**3. Let t(y) = 0. Calculate y.
-2, 1
Let -4/3*o**3 - 48 - 64*o - 52/3*o**2 = 0. What is o?
-6, -1
Factor w**5 + 162*w**3 - 156*w**3 - 8*w**4 + 15*w**4.
w**3*(w + 1)*(w + 6)
Let p(y) = -2*y**3 + 3*y**2. Let v(d) = -7*d**3 + 8*d**2. Let a(u) = 8*p(u) - 3*v(u). Find l, given that a(l) = 0.
0
Let m(i) be the first derivative of -5*i**4/2 - 95*i**3/3 - 125*i**2/2 - 40*i + 138. Factor m(b).
-5*(b + 1)*(b + 8)*(2*b + 1)
Let q = -20 + 26. Let z be q/(-22)*-4*(-1)/(-6). Solve 0 - 4/11*s**2 + 2/11*s + z*s**3 = 0.
0, 1
Let g(v) be the first derivative of v**3/5 - 12*v**2 + 240*v + 27. Factor g(c).
3*(c - 20)**2/5
Let k(f) = 10*f**2 + 23*f + 4. Let y(x) = 4*x + 27*x**2 - 26*x**2 - 3*x. Let v(g) = -k(g) - y(g). Factor v(r).
-(r + 2)*(11*r + 2)
Let h(l) be the second derivative of 2*l**6/3 + 9*l**5/4 - 5*l**4/12 - 5*l**3 + 738*l. Factor h(t).
5*t*(t + 1)*(t + 2)*(4*t - 3)
Let i(h) = -h**2 + 5*h. Let t = -30 - -34. Let n(o) = o. Let v(m) = t*n(m) + i(m). Factor v(w).
-w*(w - 9)
Suppose -4 = 5*q - 7*q. Suppose v - 4 = -q. Factor -5 - 9*h + 10 - 8 - 9*h**v - 3*h**3.
-3*(h + 1)**3
Let z be -3 + -9*8/(-12). Suppose 4 = z*s - 2. Factor -6 - 8*j**2 - 34*j**2 - 20*j + 18*j**s - 12*j**3 - 2*j**4.
-2*(j + 1)**3*(j + 3)
Factor 28*x - 124*x**3 - 43*x**4 - 232*x**2 + 31*x**4 - 92*x.
-4*x*(x + 2)*(x + 8)*(3*x + 1)
Let w(o) = o**2 + 4*o - 12. Let b be w(-9). Let i be (22/b)/((-8)/(-6)). Factor 0*u - 3*u**3 - i*u**4 - 9/2*u**2 + 0.
-u**2*(u + 3)**2/2
Let x(z) be the first derivative of z**5/30 + z**4/6 + z**3/18 - z**2/2 - 125. Factor x(s).
s*(s - 1)*(s + 2)*(s + 3)/6
Let c be (-4 + 2)/(-3 - -2). Let p(j) be the second derivative of 1/4*j**2 + 1/3*j**3 + 0 + 1/8*j**4 + c*j. Suppose p(s) = 0. What is s?
-1, -1/3
Let d(k) = 4 - 2*k - 7*k**4 + 3*k + 8*k**4 - 3. Let q(a) = a**4 - 9*a**3 + 9*a**2 - 5*a - 2. Let y(i) = -2*d(i) - q(i). Find w such that y(w) = 0.
0, 1
Let q(k) be the first derivative of -18/95*k**5 - 1/19*k**4 + 0*k + 39 + 0*k**2 + 0*k**3 - 7/57*k**6. Factor q(c).
-2*c**3*(c + 1)*(7*c + 2)/19
Let i(g) be the second derivative of -g**4/60 - g**3/15 - g**2/10 + 3*g - 32. Determine q, given that i(q) = 0.
-1
Let g(z) be the third derivative of z**6/100 - 2*z**5/45 + 13*z**4/180 - 2*z**3/45 - 16*z**2. Factor g(y).
2*(y - 1)**2*(9*y - 2)/15
Let 2/11*d**3 + 8/11*d**2 - 20/11 - 14/11*d = 0. What is d?
-5, -1, 2
Let n(r) = r**2 - 19*r - 17. Let o be n(20). Suppose 4*u = 5*u - p, 5*u + o*p = 16. Factor 0 + 1/5*q**4 - 1/5*q**5 + 1/5*q**3 - 1/5*q**u + 0*q.
-q**2*(q - 1)**2*(q + 1)/5
Let z(p) be the second derivative of p**4/20 + 3*p**3/2 - 24*p**2/5 + 111*p. Suppose z(x) = 0. Calculate x.
-16, 1
Suppose 0 = -6*q - 1454 + 1478. Let h(a) be the first derivative of 1/12*a**6 - 1/3*a**3 - 6 + 5/4*a**2 + 3/2*a - 3/4*a**q - 1/10*a**5. Factor h(u).
(u - 3)*(u - 1)*(u + 1)**3/2
Let z(j) be the second derivative of -3*j**5/50 - 3*j**4/5 - 8*j**3/5 + 15*j - 4. Solve z(g) = 0 for g.
-4, -2, 0
Let 228/5*c**3 + 4107/5 + 4554/5*c**2 + 8436/5*c + 3/5*c**4 = 0. What is c?
-37, -1
Let w = -10 - 2. Let o be (-6)/w*4/5. Factor o*b**4 + 0*b**2 + 0 + 0*b**3 + 0*b - 6/5*b**5.
-2*b**4*(3*b - 1)/5
Let g(k) = -313*k**3 + k**2 + 4*k + 1. Let o be g(-2). Solve 2501 + 25*i**4 - 5*i**5 - 10*i - o + 35*i**2 - 45*i**3 = 0 for i.
0, 1, 2
Let p(q) = -q**2 - q - 1. Let j(t) = -10*t**2 - 15*t + 35. Let k be ((-7)/14)/(4/(-8)). Let h(r) = k*j(r) - 5*p(r). Factor h(a).
-5*(a - 2)*(a + 4)
Let m(x) be the first derivative of -5/28*x**4 + 3/14*x**2 + 8 + 2/7*x**3 - 3*x. Let d(j) be the first derivative of m(j). Factor d(s).
-3*(s - 1)*(5*s + 1)/7
Let q be (2 - 11)*(-8)/6. Suppose -3*b + 15 = -q. Factor 9*n**2 + 0*n**2 + n**3 + 3 + 0 - b*n - 4*n**3.
-3*(n - 1)**3
Let a = 11007 - 77205/7. Let q = -22 - a. Factor -2/7*v + q*v**2 - 4/7.
2*(v - 2)*(v + 1)/7
Let x(o) be the second derivative of -121*o**5/15 + 407*o**4/9 - 272*o**3/9 + 8*o**2 + 26*o. Solve x(v) = 0.
2/11, 3
Let w be (-69)/(-46) - (-6)/4. Let t(r) be the first derivative of 0*r**w + 0*r**4 + 0*r**2 + 0*r + 3/5*r**5 + 1/2*r**6 - 1. Factor t(s).
3*s**4*(s + 1)
Let y(j) be the first derivative of -5*j**4/4 - 40*j**3 - 585*j**2/2 - 810*j + 300. Let y(k) = 0. What is k?
-18, -3
Let c be (-4 - -6)*(-4)/2. Let d(s) = 49*s**2 - 25*s - 35. Let j(n) = -16*n**2 + 8*n + 12. Let m(l) = c*d(l) - 11*j(l). Find z, given that m(z) = 0.
-2/5, 1
Let w(i) = i**3 - 11*i**2 - 10*i + 2. Let q be w(12). Let b = q + -24. Suppose 4/3*l + 2/3*l**b + 2/3 = 0. What is l?
-1
Let 7*l**2 + 14*l**2 - 258*l - 2*l**2 - 23 + 131 - 5*l**2 = 0. What is l?
3/7, 18
Let k(g) be the second derivative of g**4/6 + 5*g**3/3 - 36*g**2 + 42*g - 1. Factor k(y).
2*(y - 4)*(y + 9)
Let z(j) be the second derivative of -j**6/20 - 9*j**5/20 - 11*j**4/8 - 3*j**3/2 + 205*j + 3. Factor z(f).
-3*f*(f + 1)*(f + 2)*(f + 3)/2
Let x(g) be the first derivative of 0*g - 3 + 4/5*g**5 + 0*g**2 + 0*g**4 + 0*g**3. Let x(m) = 0. What is m?
0
Let a(r) be the third derivative of -r**7/140 + r**6/60 + r**5/24 - r**4/24 + 57*r**2. Let a(c) = 0. What is c?
-1, 0, 1/3, 2
Let a = -702 - -702. Let h(q) be the first derivative of 3/4*q**4 + 6 + 1/2*q**6 - q**3 + a*q + 7/5*q**5 - q**2. Factor h(f).
f*(f + 1)**3*(3*f - 2)
Let z(m) = -100*m**2 + 236*m - 368. Let t(p) = 18*p**2 - 43*p + 67. Let q(r) = 28*t(r) + 5*z(r). Find v such that q(v) = 0.
3
Let o(g) be the second derivative of g**7/7 - 2*g**6/3 - 23*g**5/10 - 5*g**4/3 - 141*g. Suppose o(n) = 0. What is n?
-1, -2/3, 0, 5
Determine w so that -320*w + 438*w**2 - 41*w**3 - 370 + 0*w**4 + 154 + w**4 - 584 = 0.
-1, 2, 20
Let a(m) be the second derivative of -m**4/12 - 2*m**3 - 45*m. Let a(n) = 0. Calculate n.
-12, 0
Find q such that 2/9 - 4/9*q**3 - 2/3*q**4 + 4/9*q**2 + 2/3*q - 2/9*q**5 = 0.
-1, 1
Find y, given that 9/2*y**3 + 21/2*y**4 - 6*y - 12*y**2 + 3*y**5 + 0 = 0.
-2, -1/2, 0, 1
Suppose 4 = 2*r - w, -2*w = r + w + 5. Let c be 9/(-42)*r*(-14)/4. Factor 3*g + c*g**2 + 9/4.
3*(g + 1)*(g + 3)/4
Let h = 125 + -373/3. Let g be (-6)/(-15)*(-30)/(-18). Solve 0*c**3 + 0*c + g + h*c**4 - 4/3*c**2 = 0.
-1, 1
Let k(t) be the first derivative of 5*t**4/8 + 3*t**3 - 11*t**2/4 - 6*t + 62. Factor k(w).
(w - 1)*(w + 4)*(5*w + 3)/2
Let r(x) be the second derivative of 0 + 0*x**5 + 0*x**3 + 0*x**2 + 0*x**4 - 1/147*x**7 + 2/105*x**6 - 22*x. What is t in r(