*m**4 - 64*m**3 - 41*m**2 + 11*m + 11. Let r(c) = -4*c**4 - 13*c**3 - 8*c**2 + 2*c + 2. Let w(l) = 11*r(l) - 2*t(l). Find z such that w(z) = 0.
-2, -1/2, 0
Let -w**5 + 2*w**4 + 3*w**5 - 7*w**5 + 3*w**5 = 0. What is w?
0, 1
Let d(p) be the second derivative of p**9/9072 + p**8/5040 - p**7/2520 - p**6/1080 - p**3/6 - p. Let s(i) be the second derivative of d(i). Factor s(b).
b**2*(b - 1)*(b + 1)**2/3
Suppose -2 = a - 6. Factor -2*p**3 + p + p**4 + 5*p**3 - a*p**2 + 7*p**2.
p*(p + 1)**3
Let y = -6 - -8. Suppose -3*g + 15 = y*g. Find m, given that g*m**4 + 6*m**3 - m**4 - 3*m**5 - 5*m**3 = 0.
-1/3, 0, 1
Suppose -3*x = -5*w + 3, 4*w + 3 = 5*x - 5. Factor 0 - w*y + 2 + 4*y - y**2.
-(y - 2)*(y + 1)
Let v(c) be the first derivative of 1/2*c**2 - 1/6*c**6 - 2/5*c**5 + 0*c**4 + 0*c + 2/3*c**3 - 3. Determine b, given that v(b) = 0.
-1, 0, 1
Factor 4/3 - 2/3*z - 2/3*z**2.
-2*(z - 1)*(z + 2)/3
Let n be (2 + 1)*(-103)/(-420). Let b = n - -13/28. Find q, given that -2/5*q + 0 + b*q**2 - 6/5*q**3 + 2/5*q**4 = 0.
0, 1
Let v = -6/83 - -350/249. Factor v*l + 2/3*l**2 + 2/3.
2*(l + 1)**2/3
Suppose 3*a + 44*a = 0. Factor 3/4*k**2 + 0*k + a.
3*k**2/4
Let t(f) be the first derivative of 0*f**3 - 1/4*f**4 + 0*f + 1/2*f**2 + 3. Find o such that t(o) = 0.
-1, 0, 1
Let b = 13 - 8. Let k(v) = 4*v**3 + v**2 + 7*v + 5. Let d(a) = 2*a**3 + a**2 + 3*a + 2. Let t(l) = b*d(l) - 2*k(l). Determine s, given that t(s) = 0.
-1, -1/2, 0
Factor -9/4*b**4 + 0*b**2 + 0 + 0*b - 3/4*b**5 - 3/2*b**3.
-3*b**3*(b + 1)*(b + 2)/4
Let g(m) be the second derivative of 5*m**8/112 - 3*m**7/70 - m**6/20 - m**2/2 + m. Let r(f) be the first derivative of g(f). Factor r(c).
3*c**3*(c - 1)*(5*c + 2)
Suppose -y = y - 4. Let q(u) be the first derivative of 0*u + 0*u**4 + 0*u**y - 1 + 2/15*u**3 - 2/25*u**5. Factor q(f).
-2*f**2*(f - 1)*(f + 1)/5
Let s(q) be the first derivative of -4/5*q**3 + 5 - 2/25*q**5 + 4/5*q**2 + 2/5*q**4 - 2/5*q. Factor s(w).
-2*(w - 1)**4/5
Let x = 81/5 - 16. Let y(h) be the first derivative of x*h**4 + 8/15*h**3 - 1 - 2/5*h - 2/5*h**2 - 6/25*h**5. Let y(t) = 0. What is t?
-1, -1/3, 1
Let b(l) = -l**2 + 7. Let f be b(-7). Let m be (10 + -7)/(f/(-4)). Factor -2/7*q**2 + 0 + m*q.
-2*q*(q - 1)/7
Solve 56/9*m + 16/9 - 8/9*m**5 - 44/9*m**2 + 38/9*m**4 - 38/9*m**3 = 0 for m.
-1, -1/4, 2
Let w be ((-9)/(-12))/((-1)/(-4)). Let g be 4/w*(0 - -3). Factor 4*q + 4*q**3 + 4*q**g - 5*q**2 - 6*q - q**4.
q*(q - 1)*(q + 2)*(3*q + 1)
Let 3/5*r**4 + 17/5*r**3 + 1/5*r**2 - 4/5 - 12/5*r - r**5 = 0. What is r?
-1, -2/5, 1, 2
Determine h so that 2/15*h**2 - 4/5 - 2/3*h = 0.
-1, 6
Let f be ((-558)/135 - (-16)/4)*-3. Factor 0*m + f - 2/5*m**2.
-2*(m - 1)*(m + 1)/5
Let r(h) be the second derivative of 0*h**2 + 0*h**4 - 1/20*h**5 + 0*h**6 + 0*h**3 + 1/42*h**7 + 0 - 2*h. Factor r(v).
v**3*(v - 1)*(v + 1)
Solve 0*n**2 + 4/5*n**5 + 0*n + 0 - 8/5*n**3 - 4/5*n**4 = 0 for n.
-1, 0, 2
Let -1/10*i**4 + 1/5 - 1/10*i**2 - 3/10*i + 3/10*i**3 = 0. Calculate i.
-1, 1, 2
Let b = -149/850 + 4/17. Let d = b - -57/50. Solve 0 - 6/5*j**3 + d*j**4 + 2/5*j**2 + 0*j - 2/5*j**5 = 0.
0, 1
Let z(c) be the second derivative of 5*c + 13/70*c**5 - 5/14*c**4 + 1/3*c**3 + 0 - 4/105*c**6 - 1/7*c**2. Factor z(j).
-2*(j - 1)**3*(4*j - 1)/7
Let c be 4*(20/(-8) + 3). Solve 6/5 - 3/5*j**3 + 0*j**c + 9/5*j = 0.
-1, 2
Let k = -32 - -32. Let p(t) be the second derivative of 1/36*t**4 + 0*t**2 - 1/18*t**3 + 4*t + k. Factor p(i).
i*(i - 1)/3
Determine q, given that -10*q**4 - 5*q**2 - 4*q**3 + 4*q**2 + 11*q**4 + 4*q**5 = 0.
-1, -1/4, 0, 1
Let f(d) be the first derivative of d**2 + 0*d - 2 + 0*d**3 - 1/2*d**4. Let q(l) = -5*l**3 + 5*l. Let b(z) = -7*f(z) + 3*q(z). Factor b(i).
-i*(i - 1)*(i + 1)
Let a(r) be the first derivative of -r**6/540 + r**4/108 + r**2 + 4. Let y(x) be the second derivative of a(x). Solve y(m) = 0 for m.
-1, 0, 1
Let s(t) be the third derivative of -7*t**6/60 - 11*t**5/10 - 3*t**4/2 + 8*t**3/3 - 16*t**2. Factor s(p).
-2*(p + 1)*(p + 4)*(7*p - 2)
Factor -1/5*g**3 + 9/5*g - 1 - 3/5*g**2.
-(g - 1)**2*(g + 5)/5
Let b(r) be the second derivative of r**6/70 + 27*r**5/140 + 11*r**4/14 - 48*r**2/7 + r + 29. Factor b(u).
3*(u - 1)*(u + 2)*(u + 4)**2/7
Let c(u) be the third derivative of u**5/300 + u**4/30 + u**3/10 + 17*u**2. Suppose c(n) = 0. Calculate n.
-3, -1
Suppose 0 = -92*j + 96*j - 8. Determine m so that 2/5*m**3 + 0 - 2/5*m**j + 0*m = 0.
0, 1
Let n be 4/10 + 40/25. Suppose 2*b - n = b. Factor 1/2*k**2 + 2 - b*k.
(k - 2)**2/2
Let g = 1/602 + 1195/5418. Factor 2/9*r**2 - 2/9 - 2/9*r + g*r**3.
2*(r - 1)*(r + 1)**2/9
Let y(u) be the first derivative of -7*u**4/8 + u**3/2 - 48. Factor y(l).
-l**2*(7*l - 3)/2
Let h(k) be the second derivative of -k - 1/3*k**3 + 0 - k**2 + 1/3*k**4. Let j(d) = -9*d**2 + 4*d + 5. Let q(u) = -5*h(u) - 2*j(u). Find b such that q(b) = 0.
0, 1
Let y = 3 + -1. Let i be (1 + -2)/(y/(-4)). Suppose -4/7*q - 2/7*q**i + 2/7 + 4/7*q**3 = 0. What is q?
-1, 1/2, 1
Let t = 70 - 208/3. Determine k, given that -k**4 + k**2 - 2/3*k + 0 + t*k**3 = 0.
-1, 0, 2/3, 1
Let v = 329 - 637/2. Factor -27/2*i - v*i**2 - 3.
-3*(i + 1)*(7*i + 2)/2
Factor 8/7 - 4*l**2 + 20/7*l.
-4*(l - 1)*(7*l + 2)/7
Factor r**5 - 2*r**2 + 4/7*r**3 + 16/7*r**4 - 11/7*r - 2/7.
(r - 1)*(r + 1)**3*(7*r + 2)/7
Let p be (-1)/1*11/(-55). Find w, given that 0 - 2/5*w**3 + p*w**4 + 1/5*w**2 + 0*w = 0.
0, 1
Factor 2/7*h**2 - 2/7 + 2/7*h**3 - 2/7*h.
2*(h - 1)*(h + 1)**2/7
Determine p, given that 20*p + 0*p**3 - 13*p**2 - 7 + 2*p**2 + 2*p**3 - 4*p**3 = 0.
-7, 1/2, 1
Let m = 9 - 9. Suppose m = -5*z - 5*h + 10, -3*z - 2 = -h - 8. Solve 2/7*w**4 - 2/7*w**3 - 2/7*w**z + 0*w + 0 + 2/7*w**5 = 0 for w.
-1, 0, 1
Let w(f) be the second derivative of 2*f**6/15 + f**5/5 - f**4 - 2*f**3/3 + 4*f**2 - 5*f. Factor w(s).
4*(s - 1)**2*(s + 1)*(s + 2)
Factor -4/13*p + 0 + 2/13*p**2.
2*p*(p - 2)/13
Let k(i) = -3*i**2 + 4*i. Let l(v) = 12*v**2 - 15*v. Let w(t) = 21*k(t) + 5*l(t). Factor w(f).
-3*f*(f - 3)
Let c(j) be the second derivative of -2*j**5/35 + j**4/14 + j**3/21 + 9*j. Factor c(a).
-2*a*(a - 1)*(4*a + 1)/7
Suppose 2*s + 10 = 2*l - l, -5*l - 5*s = -5. Factor 216/7*i - 108/7*i**2 - 2/7*i**l - 162/7 + 24/7*i**3.
-2*(i - 3)**4/7
Suppose 0 = -3*w + 4*h + 1 + 3, 3*w - h - 1 = 0. Factor 2*m**2 + 4/3*m + 0*m**3 + w - 2/3*m**4.
-2*m*(m - 2)*(m + 1)**2/3
Let n = 33/730 - -4/73. Let f(c) be the second derivative of 2*c + 1/15*c**6 + 1/6*c**3 - n*c**5 + 1/42*c**7 + 0 - 1/3*c**4 + c**2. Factor f(r).
(r - 1)**2*(r + 1)**2*(r + 2)
Factor -24/5*f - 4/5*f**2 - 4.
-4*(f + 1)*(f + 5)/5
Let g(u) be the first derivative of -8/9*u**3 + 1/3*u**4 + 4 + 4/15*u**5 - 1/3*u**2 + 4/3*u - 1/9*u**6. Suppose g(r) = 0. Calculate r.
-1, 1, 2
Suppose 2*h - 1 + 11 = 2*f, 2*h + 4*f - 8 = 0. Let c = 2 + h. Factor 2/3*p**2 + 0 + c*p.
2*p**2/3
Let x be (-24)/(-15) - 4/(-10). Factor r**4 - 1 + 3*r**4 - r - 6*r**2 - r + x*r**3 + 3.
2*(r - 1)*(r + 1)**2*(2*r - 1)
Let v = -4 - -7. Factor 2*f - 4*f**2 - 3*f**v + 2*f**3 - 5*f**3.
-2*f*(f + 1)*(3*f - 1)
Let q(z) be the first derivative of -4*z**3/3 + 7*z**2/2 + 2*z + 6. What is j in q(j) = 0?
-1/4, 2
Let w be (-4)/4*(-2 + -1). Let g(v) be the second derivative of -1/6*v**w - 1/24*v**4 - 1/4*v**2 + 0 + 2*v. Factor g(r).
-(r + 1)**2/2
Let u(b) be the second derivative of b**7/840 + b**6/60 + b**5/10 + b**4/2 + 6*b. Let q(r) be the third derivative of u(r). Determine v so that q(v) = 0.
-2
Find b such that -5*b**2 + 12*b**3 + 2*b**2 - 14*b**3 - b**2 = 0.
-2, 0
Let o(g) = 0 - g**2 + 0 + g + 2. Let l be o(0). Determine c so that 0*c + 0*c**l + c - c**2 = 0.
0, 1
Let b(n) = -2*n + 0*n**2 - 1 + 4*n + 9*n**2. Let v be b(1). Factor -v*s + 17 - 15 + 18*s**2 - 2*s**2 - 8*s**3.
-2*(s - 1)*(2*s - 1)**2
Let g be (-3)/(-6)*(-8)/(-6). Let t be ((-1)/4)/((-36)/384). Let 2/3*a**4 + g + t*a + 8/3*a**3 + 4*a**2 = 0. What is a?
-1
Let d(y) be the second derivative of -y**7/294 - y**6/105 + y**4/42 + y**3/42 - 4*y. Determine g, given that d(g) = 0.
-1, 0, 1
Let c(l) = 3*l**3 - 6*l**2 - l - 4. Let m(i) = i**3 - i**2 - 1. Let d(o) = 2*o - 2. Let f be d(7). Let k(x) = f*m(x) - 3*c(x). Factor k(p).
3*p*(p + 1)**2
Factor 2 - 1/2*f**2 + 0*f.
-(f - 2)*(f + 2)/2
Let q(z) be the third derivative of -z**6/420 + z**5/210 + z**4/21 - 4*z**3/21 - 15*z**2 - 2*z. Factor q(h).
-2*(h - 2)*(h - 1