, -1, 0
Let v = -1/43 - -91/215. Factor 4/5 - v*b - 2/5*b**2.
-2*(b - 1)*(b + 2)/5
Let h(s) be the second derivative of 0 + 0*s**2 - 4*s - 1/6*s**4 + 1/12*s**3 + 3/40*s**5. Suppose h(c) = 0. What is c?
0, 1/3, 1
Let v(b) be the first derivative of 4/33*b**3 + 1/22*b**4 + 1/11*b**2 + 0*b - 3. Let v(m) = 0. Calculate m.
-1, 0
Let x = 70 - 2099/30. Let n(h) be the second derivative of 1/30*h**4 + 0*h**2 + 0 + x*h**3 - 2*h. Solve n(k) = 0 for k.
-1/2, 0
Let b(l) be the third derivative of 0*l + l**2 - 8/3*l**3 + 0 + 2/3*l**4 - 1/15*l**5. Determine a, given that b(a) = 0.
2
Let u = -93/2 - -287/6. Find n such that -10/3*n**5 + 0 + u*n**2 - 6*n**3 + 8*n**4 + 0*n = 0.
0, 2/5, 1
Let n(t) be the second derivative of -t**6/540 + t**5/60 + t**4/9 - 2*t**3/3 + 6*t. Let o(m) be the second derivative of n(m). Factor o(d).
-2*(d - 4)*(d + 1)/3
Let m(p) = -p**5 + p**4 - p**3 - p + 1. Let s(q) = -3*q**4 + 5*q**3 - 4*q**2 + 1. Let t(y) = m(y) - s(y). Factor t(h).
-h*(h - 1)**4
Let u(v) = -v**2 - 4. Let y(h) = 5*h**2 + 16. Let a(m) = 9*u(m) + 2*y(m). Suppose a(s) = 0. What is s?
-2, 2
Factor 3/7*t**2 - 4/7 + 2/7*t**3 - 4/7*t - 1/7*t**4.
-(t - 2)**2*(t + 1)**2/7
Let m(o) be the second derivative of 11*o**7/105 - 13*o**6/75 - 2*o**5/5 + 2*o**4/15 - 6*o. Find x, given that m(x) = 0.
-1, 0, 2/11, 2
Let r = 92 + -272/3. Factor 0*l**2 + 4/3*l - r*l**3 - 2/3*l**4 + 2/3.
-2*(l - 1)*(l + 1)**3/3
Let m(b) be the second derivative of b**4/12 + b**3/3 - 4*b**2 - 38*b. Factor m(u).
(u - 2)*(u + 4)
Let d(u) = 5*u**3 + 22*u**2 + 25*u + 8. Let t(c) = -10*c**3 - 45*c**2 - 50*c - 15. Let p(q) = 5*d(q) + 2*t(q). Factor p(a).
5*(a + 1)**2*(a + 2)
Let h(y) be the third derivative of y**7/840 + y**6/240 - 7*y**5/240 + y**4/24 + 31*y**2. Determine o, given that h(o) = 0.
-4, 0, 1
Let p = 8 - 6. Suppose -p*z = -5*z. Factor 1/2*d**3 - 1/2*d + 0 + z*d**2.
d*(d - 1)*(d + 1)/2
Let j be (6/(-12) + 4)*3/42. Factor -1/2 + 1/4*c**2 + j*c.
(c - 1)*(c + 2)/4
Let v(d) = -d**2 - 8*d - 7. Let p be v(-7). Suppose p = -3*s - s + 12. Let 4 - 9/2*n**s + 3*n**2 + 10*n = 0. Calculate n.
-2/3, 2
Suppose -2*i + 54 = -4*q, 26 = 3*i + 2*q - 31. Let x be (-76)/(-70) - 6/i. Find y such that 22/5*y**3 + 2*y**2 + 6*y**5 - x*y - 58/5*y**4 + 0 = 0.
-2/5, 0, 1/3, 1
Suppose 7*n - 16 = 3*n + f, 0 = -2*f - 8. What is l in 2/3*l**2 - 1/3*l**n - 2/3 + 1/3*l = 0?
-1, 1, 2
Let u(w) = -w**4 + 3*w**3 + 3*w**2 - 5*w + 5. Let r(b) = b**4 - 3*b**3 - 2*b**2 + 4*b - 4. Let s(p) = 5*r(p) + 4*u(p). What is z in s(z) = 0?
0, 1, 2
Suppose 0 + 2/9*g**3 + 0*g + 2/9*g**2 = 0. Calculate g.
-1, 0
Factor -12*x**4 + 16*x**4 + 3*x**3 - 7*x**3.
4*x**3*(x - 1)
Suppose 5*u - 4*o - 40 = 0, -3*u + 32 = u + 3*o. Factor -2*m**3 - 1 + 1 + u*m - 4*m**2 - 2*m**3.
-4*m*(m - 1)*(m + 2)
Suppose 0 = -2*v - 2*v + 28. Let b = v + -3. Factor -i + 0*i**4 + i**b + 3*i**3 + 2*i - 2*i**2 + 5*i**2.
i*(i + 1)**3
Factor 4/3*u - 5/6*u**3 - 1/6*u**4 + 1/6*u**2 + 2/3 + 1/6*u**5.
(u - 2)**2*(u + 1)**3/6
Suppose -5*w + 4 + 11 = 0. Suppose 2*g - 7*g = -15. Let w - 4 + 2*p**2 + g - 4*p = 0. Calculate p.
1
Let m = 16 - 31/2. Let x = 2/403 - -399/806. Factor -o + m*o**2 + x.
(o - 1)**2/2
Factor 0*w + 6*w**2 + 0*w - 3*w**2 - 3*w.
3*w*(w - 1)
Suppose 3*k - 67 = -1. Let f be k/33 + (-2)/3. Factor f - 1/3*r**3 - r**4 - 2/3*r**5 + 0*r + 0*r**2.
-r**3*(r + 1)*(2*r + 1)/3
Let m(w) be the second derivative of -w**5/20 + w**4/4 - w**3/3 + 3*w**2/2 + 4*w. Let h be m(2). Factor 0 - 2/7*c - 4/7*c**4 + 0*c**h + 4/7*c**2 + 2/7*c**5.
2*c*(c - 1)**3*(c + 1)/7
Let k(f) be the third derivative of -f**9/50400 + f**8/50400 + f**7/4200 - f**6/1800 + f**5/15 - 2*f**2. Let h(b) be the third derivative of k(b). Factor h(i).
-2*(i - 1)*(i + 1)*(3*i - 1)/5
Suppose 3*i = 3*u + 48, i + 2*u - 12 = 10. Determine x so that 2*x**4 + 8 - i*x**3 - 36*x + 97/2*x**2 = 0.
1/2, 4
Factor -107*r + 2*r**2 + 111*r - 2*r**3 + 0*r**2.
-2*r*(r - 2)*(r + 1)
Let m(h) = -9*h**2 + 16*h - 6. Let b(q) = -13*q**2 + 24*q - 10. Let r(t) = -5*b(t) + 7*m(t). Let r(f) = 0. What is f?
2
Let c be (-4)/6 + (-52)/(-6). Let x(i) = -12 - 10*i**2 + 0*i - 4*i + 2. Let h(l) = l**2 + l + 1. Let n(w) = c*h(w) + x(w). Let n(t) = 0. What is t?
1
Let q = -4 + 6. Suppose -q*d = d - 9. Factor -x**3 + 2*x + 4*x**3 - 4 + 4*x**2 - 5*x**d.
-2*(x - 2)*(x - 1)*(x + 1)
Suppose 2*x = -4*p + 20, -2*p + 26 = 5*x - 0. Factor -2*r - 2*r + 8 + x*r - 2*r**2.
-2*(r - 2)*(r + 2)
Let d(i) be the first derivative of -i**6/720 + i**5/240 + 2*i**3/3 - 5. Let q(u) be the third derivative of d(u). Solve q(s) = 0.
0, 1
Let g(b) = -b**3 - 12*b**2 + 30*b + 31. Let u be g(-14). Factor 1/3*p + 0 + 1/2*p**2 + 1/6*p**u.
p*(p + 1)*(p + 2)/6
Let 2/5*g - 2/5*g**3 - 4/5 + 4/5*g**2 = 0. What is g?
-1, 1, 2
Suppose 5 - 2 - 4*r + 28*r**3 + 8*r**3 - 24*r**2 - 11*r = 0. Calculate r.
-1/2, 1/6, 1
What is g in 3*g**5 - g**5 - 6*g**3 + 2*g**4 - 5*g**5 - 11*g**4 = 0?
-2, -1, 0
Let m = -7 - -12. Suppose 7*y**3 + 6*y**3 - m*y**3 - 2*y**3 + 3*y**2 = 0. What is y?
-1/2, 0
Let a = 759 - 2275/3. Factor 0*r**2 + 0 + 0*r - a*r**3.
-2*r**3/3
Factor -2*a + 0 + 2/3*a**2.
2*a*(a - 3)/3
Let u(g) be the third derivative of 0 + 1/210*g**7 + g**2 + 0*g + 1/336*g**8 + 0*g**3 - 1/40*g**6 - 1/60*g**5 + 1/12*g**4. Let u(y) = 0. Calculate y.
-2, -1, 0, 1
Let h(s) = s**3 + s**2 - 24*s - 15. Let t be h(-5). Determine o, given that 9/4*o**3 + 0*o + 3/4*o**2 + 0 + 9/4*o**4 + 3/4*o**t = 0.
-1, 0
Suppose -2*w - 28 = -28. Let a(h) be the second derivative of 1/8*h**2 - 1/80*h**5 - 3*h + 1/24*h**3 + w - 1/48*h**4. Factor a(p).
-(p - 1)*(p + 1)**2/4
Let w(x) be the second derivative of 6*x + 0 - 1/11*x**2 - 1/66*x**4 + 2/33*x**3. Determine t so that w(t) = 0.
1
Find s such that 1/3*s**5 + 0 - 2/3*s - s**2 + 1/3*s**3 + s**4 = 0.
-2, -1, 0, 1
Factor -29*p**3 - 43*p**4 - 160*p + 132*p**2 + 64 + 5*p**3 + 47*p**4 - 16*p**3.
4*(p - 4)**2*(p - 1)**2
Let k(r) be the second derivative of 0*r**2 - r + 1/105*r**6 + 0*r**3 - 1/42*r**4 + 0*r**5 + 0. Solve k(n) = 0.
-1, 0, 1
Suppose 71*i - 72*i = -3. Let b(q) be the third derivative of -1/8*q**4 + 0*q**5 + 0*q**i + 5*q**2 + 1/40*q**6 + 0 + 0*q. Let b(n) = 0. What is n?
-1, 0, 1
Suppose 6*m = -0*m. Let g(w) be the second derivative of 1/12*w**4 + m*w**5 - 1/30*w**6 + 0*w**3 + 0 + 0*w**2 - 2*w. Factor g(n).
-n**2*(n - 1)*(n + 1)
Let k(s) = 7*s**2 - 4*s + 7. Let p(d) = -10*d**2 + 6*d - 10. Let u(h) = 7*k(h) + 5*p(h). Let u(n) = 0. Calculate n.
1
Let o be 6/3 + -1 - -2. Let q(r) = 4*r - 4 - o*r**2 + 1 + 2. Let c(d) = -24*d**2 + 33*d - 9. Let l(j) = -4*c(j) + 33*q(j). Suppose l(t) = 0. What is t?
-1, 1
Let b be (-5)/((-20)/24) + -3. Suppose 0 = -3*g + g - 4*d + 4, 4 = 2*g + b*d. Factor 0*p + 1/2 - 1/2*p**g.
-(p - 1)*(p + 1)/2
Let n = -69 + 74. Factor -26/5*r**3 + 12/5*r**4 + 24/5*r**2 - 8/5*r + 0 - 2/5*r**n.
-2*r*(r - 2)**2*(r - 1)**2/5
Let s(x) be the third derivative of x**6/90 + 2*x**5/45 - 39*x**2. Factor s(n).
4*n**2*(n + 2)/3
Let j be ((-18)/(-1)*2)/1. Factor 5*b - 2*b - 3*b**2 + j*b**4 - 3*b**3 - 33*b**4.
3*b*(b - 1)**2*(b + 1)
Determine t, given that 3*t**3 + 2*t**2 + t**3 - 6*t**2 = 0.
0, 1
Let c(s) = -1063*s**3 - s**2 - s. Let p be c(-1). Let l = p - 5297/5. What is j in 6/5*j**2 - l*j**3 + 2*j + 2/5 = 0?
-1/3, 1
Let y(p) be the third derivative of -p**8/224 + p**7/84 - p**6/240 - p**5/120 + 4*p**2. Factor y(t).
-t**2*(t - 1)**2*(3*t + 1)/2
Let g(n) = n**3 + 14*n**2 + 15*n + 11. Let d be g(-13). Let j = 20 + d. Find c, given that j*c**3 - 8*c**4 + 0*c + 0 - 16/3*c**5 - 2/3*c**2 = 0.
-2, 0, 1/4
Let y(v) be the third derivative of 0 + 0*v**4 + 1/180*v**6 + 0*v + 0*v**7 - 1/1512*v**8 + 5*v**2 + 0*v**3 + 1/135*v**5. Factor y(q).
-2*q**2*(q - 2)*(q + 1)**2/9
Let b(c) be the second derivative of 9*c**6/10 + 8*c**5/5 - 5*c**4/6 - 4*c**3/3 - 7*c**2/2 + 6*c. Let x(v) be the first derivative of b(v). Factor x(y).
4*(y + 1)*(3*y - 1)*(9*y + 2)
Let s(l) = 7*l**3 + 3*l**2. Let c(k) = k**3 - k**2 + 1. Suppose -6*z + 4 = -5*z. Let h(d) = z*c(d) - s(d). Factor h(j).
-(j + 1)*(j + 2)*(3*j - 2)
Let v(q) be the third derivative of -q**5/100 - q**4/20 + 13*q**2 - q. Factor v(z).
-3*z*(z + 2)/5
Solve 20*d - 6*d + 11 + 4*d**2 + 6*d + 5 = 0 for d.
-4, -1
Let b(i) = 2*i**4 - 7. Let p(a) = -a**4 + 3. Let f(v) = 3*b(v) + 7*p(v). Factor f(h).
-h**4
Let w(b) = -b**2 + b - 16. Let k(h) = -15*h**2 