5 + 0*m**3 - 3*m**2 - 1/48*m**4 + 0*m + 0. Let k(r) = 0. Calculate r.
0, 1
Let v be (5 - 3) + (-3 - -1). Factor 2*i**3 - i**4 - i**5 - i**4 + v*i**5 - 3*i**3.
-i**3*(i + 1)**2
Let u(l) be the second derivative of 1/20*l**4 - 3/10*l**3 + 3/5*l**2 + 0 - 2*l. Suppose u(g) = 0. Calculate g.
1, 2
Let a be 4*(-14 - -6)/(-112). What is o in -a*o**2 + 0*o + 2/7 = 0?
-1, 1
Let n(g) = 4*g**3 - 5*g**2 - 4*g + 5. Let s be -4 + 4/2 - -1. Let m(l) = l**3 - l**2 - l + 1. Let w(c) = s*n(c) + 5*m(c). Solve w(t) = 0 for t.
-1, 0, 1
Suppose -5*v + 18 = 4*c - 5*c, 2*v + 6 = -4*c. Let j be 6/(-4)*8/c. Factor 0*t**3 + 0*t + 0 + 0*t**2 - 1/4*t**5 - 1/4*t**j.
-t**4*(t + 1)/4
Suppose 29*m - 15 = 26*m. Factor 2/7*q**m - 2/7*q + 0 - 4/7*q**4 + 0*q**3 + 4/7*q**2.
2*q*(q - 1)**3*(q + 1)/7
Suppose -g + 5*n = -24, g - 2*n = 17 + 1. Let w be (g/(-4))/7*-6. Factor -1/5*a + 1/5*a**2 - 1/5*a**4 + 1/5*a**w + 0.
-a*(a - 1)**2*(a + 1)/5
Let i(r) = r**2 + r - 3 + 7 + 3*r. Let v be i(-4). Factor 6/7*q**v - 6/7*q**3 + 2/7*q**2 + 0 - 2/7*q**5 + 0*q.
-2*q**2*(q - 1)**3/7
Let m be ((-1144)/33)/((-10)/(-27)). Let c = m - -94. What is w in -2*w**2 + 4/5*w + 6/5*w**3 + 0 - c*w**5 + 2/5*w**4 = 0?
-2, 0, 1
Let b(o) = -2*o**2 + o - 1. Let i be b(1). Let v be (-1 + i + 3)/3. Factor v*w + 2/3 - 2/3*w**2.
-2*(w - 1)*(w + 1)/3
What is b in -b**3 + 4*b + 2*b**2 - 1/2*b**4 + 0 = 0?
-2, 0, 2
Suppose -3*f - d = -7, 20 = 3*f + f - 4*d. Suppose -f*u**3 - 3*u**3 - 2*u**4 + 4*u**2 + 0*u**2 + 4*u**4 = 0. Calculate u.
0, 1, 2
Factor 0*r + 8/3 - 2/3*r**2.
-2*(r - 2)*(r + 2)/3
Let h(q) be the second derivative of 5*q**4/12 + 5*q**3/6 - 5*q**2 - 13*q. Suppose h(p) = 0. Calculate p.
-2, 1
Let w = 17 + -20. Let g be ((-36)/24)/(w/10). Suppose 0 + 6/5*q**g + 4/5*q**2 - 8/5*q**3 + 2/5*q - 4/5*q**4 = 0. Calculate q.
-1, -1/3, 0, 1
Suppose -3*c = -6*c - 4*g + 2, -c - 3 = 5*g. Let p(n) be the first derivative of -c - 2/7*n**3 - 3/7*n**2 - 1/14*n**4 - 2/7*n. Determine w so that p(w) = 0.
-1
Let z(l) be the first derivative of 2*l**5/55 + 3*l**4/22 + 2*l**3/33 - 3*l**2/11 - 4*l/11 - 3. Determine o so that z(o) = 0.
-2, -1, 1
Let o(q) be the third derivative of q**10/15120 - q**9/15120 - q**8/3360 + q**7/2520 + q**4/24 - q**2. Let f(t) be the second derivative of o(t). Factor f(l).
l**2*(l - 1)*(l + 1)*(2*l - 1)
Let f = -4820/7 + 689. Factor -6/7*a**2 - f*a**3 + 0 - 3/7*a.
-3*a*(a + 1)**2/7
Let b(y) be the third derivative of -y**6/240 + y**5/60 - y**4/48 - y**2. Determine p so that b(p) = 0.
0, 1
Suppose 1 - 4 = -3*x. Let i be ((-2)/8)/x*-1. Factor 0 - i*u + 1/4*u**2.
u*(u - 1)/4
Let r(l) = 15*l**4 + 13*l**3 - 17*l**2 - 21*l - 14. Let o(v) = -10*v**4 - 9*v**3 + 11*v**2 + 14*v + 9. Let c(u) = 8*o(u) + 5*r(u). Suppose c(k) = 0. What is k?
-1, -2/5, 1
Let d(x) = x**2 - 7*x + 11. Let z be d(5). Factor -z + 12*j**3 + 1 - 8*j**3.
4*j**3
Suppose b = h - 2, -2*h - 4*b = 27 - 7. Let f be ((0/h)/(-2))/(-1). Solve 1/3*g**3 + 1/3*g**2 + 0 + f*g - 2/3*g**4 = 0.
-1/2, 0, 1
Let g(d) be the second derivative of d**4/4 - 3*d**3/2 - 2*d. Factor g(i).
3*i*(i - 3)
What is h in 20/7*h**3 + 12/7*h + 2/7 + 24/7*h**2 + 6/7*h**4 = 0?
-1, -1/3
Let a = -1667/12 + 139. Let p(b) be the third derivative of 1/12*b**5 + 0*b**3 + a*b**4 + b**2 + 0 + 0*b. Factor p(d).
d*(5*d + 2)
Let w be ((-2 - -2) + 0)/2. Factor w - 4*m**2 + 0 - 4*m**3.
-4*m**2*(m + 1)
Let c(j) be the third derivative of 1/540*j**6 - 3*j**2 + 1/36*j**4 + 1/27*j**3 + 0*j + 0 + 1/90*j**5. What is u in c(u) = 0?
-1
Let t = 98 - 486/5. Factor 0 - 18/5*d**2 - t*d - 4*d**3.
-2*d*(2*d + 1)*(5*d + 2)/5
Let a(u) be the first derivative of -u**6/2 - u**5 + 7*u**4/6 + 4*u**3/3 - 4*u**2/3 - 21. Find p such that a(p) = 0.
-2, -1, 0, 2/3
Suppose 0 = s - 2*s - 17. Let o = 19 + s. Suppose 8*b + 8/3 + 10/3*b**o = 0. Calculate b.
-2, -2/5
Let j(c) be the second derivative of 4*c**6/15 - 9*c**5/5 + 11*c**4/3 - 8*c**2 + 23*c. Solve j(q) = 0.
-1/2, 1, 2
Let g(m) = -m**3 - m**2 - m - 1. Let l(t) = 4*t**5 - 12*t**4 - 10*t**3 + 6*t**2 - 6*t - 6. Let w(x) = -6*g(x) + l(x). Determine h, given that w(h) = 0.
-1, 0, 1, 3
Let k(b) = 9*b**3 + 43*b**2 - 20*b - 54. Let z(f) = -3*f**3 - 14*f**2 + 7*f + 18. Let u(g) = 4*k(g) + 11*z(g). Factor u(h).
3*(h - 1)*(h + 1)*(h + 6)
Let u be (-72)/30*(-10)/4. Let y(c) be the second derivative of 0 - 3/20*c**5 - 2*c - 1/42*c**7 + 0*c**3 - 1/10*c**u - 1/12*c**4 + 0*c**2. Factor y(o).
-o**2*(o + 1)**3
Let f(v) be the second derivative of -v**6/30 - v**5/30 + v**4/6 + v**3/3 - v**2 - 3*v. Let c(j) be the first derivative of f(j). What is z in c(z) = 0?
-1, -1/2, 1
Let g(l) be the first derivative of -l**3/21 + l**2/14 + 2*l/7 - 9. Factor g(t).
-(t - 2)*(t + 1)/7
Suppose -3*x = x + 72. Let s = x - -27. Find c, given that 23/3*c**3 + s*c**2 + 2/3 + 7/3*c**4 + 13/3*c = 0.
-1, -2/7
Let w(h) = h - 4. Let v be w(-12). Let o = -13 - v. Factor -2/5*p**o + 0*p**2 + 0*p + 0 - 2/5*p**4.
-2*p**3*(p + 1)/5
Let c(p) = p**2 - 3*p + 2. Let q(a) = a. Let h(k) = 5*k**2 - 8*k + 9. Let i(v) = h(v) - 5*q(v). Let j(y) = -18*c(y) + 4*i(y). Factor j(s).
2*s*(s + 1)
Let l(g) be the first derivative of g**4/20 - g**3/15 - g**2/10 + g/5 - 3. Factor l(b).
(b - 1)**2*(b + 1)/5
Let d(q) be the second derivative of -q**6/60 + q**5/30 + q**2 - q. Let o(k) be the first derivative of d(k). Determine v so that o(v) = 0.
0, 1
Let k**3 + 0*k**4 - 1 + 3*k**3 - k**2 + 4*k - k**4 - 5*k**2 = 0. What is k?
1
Let a be 2/(10/(-12) - -1). Let g = -8 + a. Factor -5*j**4 + 4*j**3 + 15*j**g - 10*j**2 + 0*j**3 - 4*j.
2*j*(j - 1)*(j + 1)*(5*j + 2)
Let w(d) be the second derivative of d**5/140 + d**4/84 - d**3/42 - d**2/14 + d. Let w(u) = 0. Calculate u.
-1, 1
Determine m so that 12 - 6*m - 9*m**4 - 18*m + 12*m**3 + 12*m**3 - 3*m**2 = 0.
-1, 2/3, 1, 2
Let i = -17 - -17. Let j(u) be the second derivative of -1/75*u**6 - 2*u + 2/105*u**7 + i*u**2 + 0*u**3 + 0 + 0*u**5 + 0*u**4. Factor j(f).
2*f**4*(2*f - 1)/5
Let h = -1 - -6. Let l be (-10)/h*2/(-12). Find q such that -2/3*q - 1/3*q**2 - l = 0.
-1
Let f(l) be the first derivative of -l**6/24 + l**5/2 - 33*l**4/16 + 10*l**3/3 - 2*l**2 - 16. Suppose f(h) = 0. What is h?
0, 1, 4
Let b(c) be the second derivative of 7/40*c**5 + 0 - 11/24*c**4 - 7/12*c**3 + 1/2*c**2 - 2*c + 3/20*c**6. Determine y so that b(y) = 0.
-1, 2/9, 1
Suppose 6*g + 5*g - 4*g = 0. Solve 0*d**2 - 1/4*d**4 + 0*d + g*d**3 + 0 = 0 for d.
0
Factor 1/3*y**5 - 5*y**4 + 0 - 125/3*y**2 + 0*y + 25*y**3.
y**2*(y - 5)**3/3
Let w(u) be the second derivative of 1/9*u**3 + 0 + 3*u + 0*u**2 + 0*u**4 - 1/15*u**5 + 0*u**6 + 1/63*u**7. Factor w(s).
2*s*(s - 1)**2*(s + 1)**2/3
Suppose -5*s = -5*d - 5, -d = -0*d - 2. Factor 0*b**3 - s*b**2 + 0*b + 3/2*b**4 + 3/2.
3*(b - 1)**2*(b + 1)**2/2
Suppose -12*c**2 - 91*c**5 - 8*c + 40*c**5 + 12*c**4 + 43*c**5 + 16*c**3 = 0. Calculate c.
-1, -1/2, 0, 1, 2
Let m(p) be the first derivative of 3 + 0*p + 0*p**2 - 1/6*p**6 - 3/5*p**5 + 4/3*p**3 + 0*p**4. Factor m(o).
-o**2*(o - 1)*(o + 2)**2
Factor 24/7 + 81/7*o**2 + 90/7*o + 15/7*o**3.
3*(o + 1)*(o + 4)*(5*o + 2)/7
Suppose 2*s = m + 14, m + 5*s = 9 + 12. Let z be 2/(-2 - m) + -1. Let 1/5*u**2 + z + 0*u - 1/5*u**3 = 0. What is u?
0, 1
Factor -2*f**2 + 14*f**2 + 16*f**3 - f**5 - 29*f**3 + 6*f**4 - 4*f.
-f*(f - 2)**2*(f - 1)**2
Let z(c) be the second derivative of -4*c**7/147 + c**6/5 - 41*c**5/70 + 37*c**4/42 - 5*c**3/7 + 2*c**2/7 + 5*c. Find m such that z(m) = 0.
1/4, 1, 2
Let f = -71 + 71. Factor -1/4*q**2 + f + 0*q + 1/4*q**3.
q**2*(q - 1)/4
Let c(k) be the first derivative of -6*k**5/65 + 5*k**4/26 - 2*k**3/39 - k**2/13 - 5. Factor c(n).
-2*n*(n - 1)**2*(3*n + 1)/13
Let m(a) be the first derivative of 2*a**5/35 - 3*a**4/14 - 2*a**3/21 + 3*a**2/7 - 1. Suppose m(w) = 0. What is w?
-1, 0, 1, 3
Factor -3 + t + 6*t**2 - 3*t**4 + 0*t**2 - t.
-3*(t - 1)**2*(t + 1)**2
Suppose -10*f = 18*f - 6*f. Determine c so that f*c + 1/3 - 1/3*c**2 = 0.
-1, 1
Let v(c) be the second derivative of c**6/20 - c**5/4 + 5*c**3/6 - 3*c**2/4 + 29*c. Determine h, given that v(h) = 0.
-1, 1/3, 1, 3
Let g(h) be the first derivative of -2*h**3/15 - 4*h**2/5 - 8*h/5 + 2. Solve g(w) = 0 for w.
-2
Let a(d) be the third derivative of d**7/315 + d**6/45 + d**5/18 + d**4/18 - 2*d**2. Factor a(s).
2*s*(s + 1)**2*(s + 2)/3
Suppose -4*b = -3*b - 3. Let u = -19 + 19. Factor 0*s**2 -