- 1/30*r**5 + 0*r**4 - 3*r**2 + 0 + 0*r**6. Suppose b(a) = 0. What is a?
-1, 0, 1
Let r(u) = u**4 + u**2 + u + 1. Let z(c) = 5*c**4 + 3*c**3 + 2*c**2 + 2. Let q be ((-27)/(-6))/((-3)/4). Let b(m) = q*r(m) + 2*z(m). Factor b(p).
2*(p - 1)*(p + 1)**2*(2*p + 1)
Let a(s) be the second derivative of -s**4/6 + s**2 + 32*s. Factor a(i).
-2*(i - 1)*(i + 1)
Let i(k) be the second derivative of 0 + 5/21*k**3 - 1/14*k**4 - 2/7*k**2 - k. Find y such that i(y) = 0.
2/3, 1
Let f(s) = s**5 - 5*s**4 - s**3 + 4*s**2 - s + 1. Let u(h) = h**5 + h**4 - h**3 + h - 1. Let d(z) = f(z) + u(z). Determine n so that d(n) = 0.
-1, 0, 1, 2
Let x = -8 + 11. Suppose x*z = h - 17, -2*h + 4*z = -8 - 18. Factor 0*b - 1/2*b**4 + 0 + 1/2*b**2 + 1/2*b**h - 1/2*b**3.
b**2*(b - 1)**2*(b + 1)/2
Let h(t) = t**3 - 5*t**2 + 9*t - 5. Let b be 2*-1*(-5)/2. Let j = 2 + b. Let q(o) = o**3 - 7*o**2 + 13*o - 7. Let u(d) = j*h(d) - 5*q(d). Factor u(y).
2*y*(y - 1)*(y + 1)
Let h = -368279/540 + 682. Let v(b) be the third derivative of 3*b**2 + 1/108*b**4 - h*b**6 + 1/270*b**5 + 0*b + 0 - 1/27*b**3. Solve v(j) = 0.
-1, 1
Determine q, given that -3*q**2 + 32*q**4 - 29*q**4 + 0*q**2 = 0.
-1, 0, 1
Let b(r) be the first derivative of -r**4/8 - r**3/3 + r**2/4 + r + 17. Factor b(h).
-(h - 1)*(h + 1)*(h + 2)/2
Let p be 3 - ((-1)/20 + 3). Let n(w) be the second derivative of 1/6*w**3 + w + 1/6*w**4 + 0*w**2 + 0 + p*w**5. Factor n(l).
l*(l + 1)**2
Let d be 46/12 - 15/(-90). Let h = 13 - 8. Factor -2 + 1 + 3*l + d*l**2 - h*l**2 - l.
-(l - 1)**2
Suppose -5*c = -3*z - 23, 4*c = z + c + 13. Let u(h) = h**2 + 4*h + 3. Let b(x) = -x**2 - x. Let r(m) = z*u(m) + 2*b(m). Factor r(w).
-3*(w + 1)**2
Let k(u) be the third derivative of -1/30*u**6 + 0*u**4 + 1/168*u**8 + 1/105*u**7 - 5*u**2 + 0*u + 0*u**5 + 0*u**3 + 0. Factor k(c).
2*c**3*(c - 1)*(c + 2)
Let u(y) be the first derivative of -3*y**4/20 + 6*y**3/5 - 18*y**2/5 + 24*y/5 - 8. Factor u(r).
-3*(r - 2)**3/5
Factor -5 - 3*c**3 + 3 - 4 - 24*c - 6 - 15*c**2.
-3*(c + 1)*(c + 2)**2
Suppose -m = -1, -2*v + 2*m = 2*v - 18. Let u be ((-2)/5)/((-1)/v). Factor -2/3 + 1/3*i + 1/3*i**u.
(i - 1)*(i + 2)/3
Suppose 0 = 2*n + 3*x + 15, -5*x - 7 = 4*n + 18. Suppose n + 0*z - 1/7*z**2 + 3/7*z**3 - 3/7*z**4 + 1/7*z**5 = 0. What is z?
0, 1
Let u(g) be the second derivative of -g**4/12 + 2*g**3/3 - 2*g**2 - 2*g. Suppose u(h) = 0. What is h?
2
Let o(m) be the third derivative of m**8/336 - m**7/70 - m**6/24 + 9*m**5/20 - 4*m**4/3 + 2*m**3 - 28*m**2. Factor o(p).
(p - 2)**2*(p - 1)**2*(p + 3)
Let u(c) be the first derivative of -c**8/7560 + c**7/1260 - c**6/540 + c**5/540 - 4*c**3/3 + 2. Let i(s) be the third derivative of u(s). Factor i(q).
-2*q*(q - 1)**3/9
Let p(n) = -n - 16. Let v be p(-16). Let x(h) be the second derivative of -2*h + v + 1/12*h**4 - 1/6*h**3 + 0*h**2. Factor x(s).
s*(s - 1)
Let r(p) = 0*p**2 - 2*p**2 + 2*p + p**3 - 4*p**2 - 7. Let c be r(6). Determine z, given that -2*z**4 + 3*z**3 + 0*z**3 + 2*z - c*z**3 + 2*z**2 = 0.
-1, 0, 1
Let 9*c**5 + 1/3 - 10*c**3 + c - 10/3*c**2 + 3*c**4 = 0. What is c?
-1, -1/3, 1/3, 1
Let g(p) = p + 2. Let u be g(0). Suppose -6 = -2*y - u. Factor -1 + 0*q**y - q**4 + q + q**5 - 2*q**3 + 0 + 5*q**2 - 3*q**2.
(q - 1)**3*(q + 1)**2
Let 3*o**2 - 2*o + 3*o + 2*o + 3*o**3 - 6*o - 3 = 0. Calculate o.
-1, 1
Let q(v) be the second derivative of -v**3 - 4*v + 0 - 3/4*v**4 - 1/2*v**2. Factor q(w).
-(3*w + 1)**2
Let d be (-2)/16 + 50/40 + -1. Factor -d*u**2 + 0 - 1/8*u.
-u*(u + 1)/8
Let t(s) be the first derivative of s**5/10 + s**4/4 + s**3/6 + 12. Factor t(c).
c**2*(c + 1)**2/2
Let v(b) be the third derivative of 0*b**3 - 1/40*b**6 - 1/112*b**8 + 0*b**5 + 1/35*b**7 + 0*b - 7*b**2 + 0*b**4 + 0. Suppose v(o) = 0. What is o?
0, 1
Factor -6*z**2 - 4*z + 0*z + z + 3*z**2.
-3*z*(z + 1)
Let k(o) be the second derivative of -1/8*o**2 - 1/48*o**4 - 1/12*o**3 + 0 + 5*o. Let k(g) = 0. What is g?
-1
Let s(w) be the first derivative of -w**3/8 - 27*w**2/16 - 3*w - 32. Factor s(b).
-3*(b + 1)*(b + 8)/8
Let v be (-1)/2*(-5 - 2 - 1). Let g(w) be the second derivative of -1/12*w**v + 0*w**2 + 3*w + 1/30*w**6 + 1/6*w**3 - 1/20*w**5 + 0. Factor g(u).
u*(u - 1)**2*(u + 1)
Let r = -28 + 36. Let w be 20/r - (-1)/(-2). Let 1/4*k**w - 3/2*k + 9/4 = 0. Calculate k.
3
Let l(h) = -3*h**5 - h**4 + h**3 - 3*h**2 - 2*h + 2. Let g(t) = t**5 + t**4 + t**2 + t - 1. Let c(q) = 6*g(q) + 3*l(q). Factor c(y).
-3*y**2*(y - 1)**2*(y + 1)
Let q(z) be the first derivative of 3*z**5/5 - 5*z**4/4 - z**3 + 5*z**2/2 + 4. Let o(b) = b**3 - b. Let x(l) = -2*o(l) - q(l). Factor x(s).
-3*s*(s - 1)**2*(s + 1)
Let c(x) be the first derivative of -11*x**5/40 + 21*x**4/16 + 19*x**3/24 - 21*x**2/8 - x + 43. Determine o so that c(o) = 0.
-1, -2/11, 1, 4
Let s = 21/2 - 61/6. Let g(a) be the first derivative of -1/6*a**4 + 1 + 0*a - s*a**2 + 4/9*a**3. Find p, given that g(p) = 0.
0, 1
Find q such that 2/3*q**4 + 2/3*q**3 + 0*q - 4/3*q**2 + 0 = 0.
-2, 0, 1
Let -1/3*p**2 + 1/3 + 0*p = 0. What is p?
-1, 1
Factor -6*y**3 + 5*y**4 + 43*y + 6*y**2 - 4*y**4 + y**4 - 45*y.
2*y*(y - 1)**3
Find j such that -6*j**2 + 4*j**2 + 4*j - 1 - 1 = 0.
1
Let p(c) be the third derivative of 0*c + 0 + 2*c**2 + 1/160*c**6 + 9/80*c**5 + 27/8*c**3 + 27/32*c**4. Solve p(d) = 0 for d.
-3
Factor 1/2*k**2 + 1/2*k + 0.
k*(k + 1)/2
Let b(y) be the second derivative of 1/6*y**4 - 1/3*y**3 - 1/30*y**5 + 0 - 1/2*y**2 - 2*y. Let j(d) be the first derivative of b(d). Factor j(r).
-2*(r - 1)**2
Let y(n) be the first derivative of -n**8/1680 - n**7/210 - n**6/60 - n**5/30 - n**4/24 + 7*n**3/3 - 3. Let v(a) be the third derivative of y(a). Factor v(j).
-(j + 1)**4
Let p(q) be the third derivative of -q**6/1260 + q**5/420 + q**4/42 + q**3/2 - q**2. Let n(z) be the first derivative of p(z). Factor n(g).
-2*(g - 2)*(g + 1)/7
Let h = -1688/5 - -338. Factor -6/5*t**2 - 6/5*t - 2/5 - h*t**3.
-2*(t + 1)**3/5
Let v = -30 - -30. Let r(t) be the second derivative of v + 0*t**2 + t + 1/3*t**3 + 1/3*t**4. Let r(g) = 0. What is g?
-1/2, 0
Let h = 9 - 6. Let k = 3 - h. Suppose k + 2*o + 0 - o**2 = 0. What is o?
0, 2
Let l be (-21)/(-6) + 2/4. Let m be (-2)/9 - 13/(-18). Factor 1/2*b**2 + 0*b + 0 - 1/2*b**5 - 1/2*b**l + m*b**3.
-b**2*(b - 1)*(b + 1)**2/2
Suppose -x - 4*s = -2*x + 34, -3*s + 6 = x. Let t = x + -16. Suppose 7*n**t - n + 0 - 49/4*n**3 = 0. What is n?
0, 2/7
Factor 10*q**2 - 5*q**4 - 5*q**2 - 5*q**3 - q + 6*q.
-5*q*(q - 1)*(q + 1)**2
Factor 2/3*j**3 + 5/3*j**2 - 2*j - 1/3*j**4 + 0.
-j*(j - 3)*(j - 1)*(j + 2)/3
Let p(g) = -6*g**2. Let q be 56/(-21)*(-3)/(-2). Let d(v) = -5*v**2. Let m(s) = q*p(s) + 5*d(s). Factor m(a).
-a**2
Let o(d) be the third derivative of d**6/40 + d**5/4 + 3*d**4/8 - 9*d**3/2 - 15*d**2. Factor o(g).
3*(g - 1)*(g + 3)**2
Let z = 899/6 + -149. Let n = -1/3 + z. Factor -1/4*d**2 + n*d - 1/4.
-(d - 1)**2/4
Suppose -2*j = 2*j + 12. Let m be j + (-4)/((-8)/7). Factor 0 - m*g + 1/4*g**2.
g*(g - 2)/4
Let p(i) be the third derivative of -i**5/12 + 5*i**4/12 - 5*i**3/6 + 4*i**2. Solve p(f) = 0.
1
Let z = -19 + 19. Let b(j) be the second derivative of j + 0*j**2 + 0 + z*j**5 + 1/21*j**7 + 1/15*j**6 + 0*j**3 + 0*j**4. Factor b(u).
2*u**4*(u + 1)
Let y(x) be the third derivative of 0*x + 0 - 1/2*x**3 - 1/8*x**4 - 6*x**2 + 1/10*x**5. Let y(f) = 0. What is f?
-1/2, 1
Let i(p) be the first derivative of 5*p**6/3 + 22*p**5/5 + 7*p**4/2 + 2*p**3/3 + 9. Determine j, given that i(j) = 0.
-1, -1/5, 0
Let n(o) be the third derivative of 0 + 1/90*o**5 + 0*o + 0*o**3 - 8*o**2 + 0*o**4. Factor n(u).
2*u**2/3
Suppose -4 = -d + 3. Suppose -d + 12 = a. What is y in 0*y + 0*y**4 + 0 + 2/7*y**a - 2/7*y**3 + 0*y**2 = 0?
-1, 0, 1
Let v be (-4)/2 + -6*4/(-6). Let b(i) be the third derivative of -1/72*i**4 + 0 + 0*i + 1/36*i**3 + i**v + 1/360*i**5. Factor b(t).
(t - 1)**2/6
Factor -2/3*w - 2/3*w**2 + 2/3*w**4 + 0 + 2/3*w**3.
2*w*(w - 1)*(w + 1)**2/3
Let y(u) be the second derivative of 1/3*u**3 + 1/6*u**4 + 1/30*u**5 + 2*u + 2*u**2 + 0. Let b(p) be the first derivative of y(p). Solve b(k) = 0 for k.
-1
Let h(j) be the second derivative of -j**4/18 + j. Find l, given that h(l) = 0.
0
Let x be ((147/27)/7)/((-1)/(-24)). Solve 38/3*p + 142/3*p**3 + 4/3 + x*p**4 + 40*p**2 = 0.
-1, -2/7, -1/4
Suppose -15 = 5*n - 3*v, 0 = 2*v - v - 5. Suppose -5*a + n