/3*v**2.
-2*v**2/3
Let f(d) = -d**3 - 7*d**2 - 5*d + 1. Let h(v) = v**3 + v**2 + v + 1. Let t(b) = f(b) - h(b). Factor t(r).
-2*r*(r + 1)*(r + 3)
Let l(p) = p**2 + p - 4. Let x be l(-3). Determine y so that -41*y**x + 4 - 16*y + 13*y**2 + 19*y**2 = 0.
-2, 2/9
Let b(n) be the third derivative of 1/60*n**6 + 0*n**5 + 0 + 0*n**3 + 0*n**4 + 3*n**2 + 2/105*n**7 + 1/168*n**8 + 0*n. Solve b(f) = 0 for f.
-1, 0
Suppose 0*t - 5/3*t**5 - 20/3*t**4 + 35/3*t**3 + 0 + 50/3*t**2 = 0. Calculate t.
-5, -1, 0, 2
What is t in 18*t**3 - 12*t**2 + t**5 - 12*t**4 + 4*t**5 + 3*t - 2*t**5 = 0?
0, 1
Let i(l) = -l**4 + 2*l**3 - 3*l**2 - 2. Let v(c) = 4*c**4 - 7*c**3 + 10*c**2 + 7. Let k be (-3)/(-6)*(-4 - 0). Let f(y) = k*v(y) - 7*i(y). Factor f(n).
-n**2*(n - 1)*(n + 1)
Let i = -2 + 5. Let h(m) be the first derivative of 2 + 1/3*m + 1/9*m**i + 1/3*m**2. Let h(f) = 0. What is f?
-1
Let h be (15/6 - 2)/((-3)/(-10)). Determine o so that -10/3*o**3 - 5/3*o**4 - 10/3*o**2 - 1/3*o**5 - h*o - 1/3 = 0.
-1
Let w(h) be the first derivative of -3/4*h**2 + 0*h - 1/2*h**3 + 7. Suppose w(u) = 0. What is u?
-1, 0
Determine n so that 35*n**2 - 1296*n + 165*n**2 - 56*n**2 - 4*n**3 = 0.
0, 18
Factor 2*u - 38*u**3 - 8*u**2 + 4*u**4 - 2*u + 42*u**3.
4*u**2*(u - 1)*(u + 2)
Let f(t) be the second derivative of t**4/30 + t**3/30 + 24*t. Factor f(p).
p*(2*p + 1)/5
Let n = -98 - -100. Suppose 0*s**n + 2/5*s**3 - 2/5*s + 0 = 0. What is s?
-1, 0, 1
Suppose 2*j - 18 = 3*y - 5, y + 1 = 0. Factor 4*n - n + 4*n - n**2 - j*n.
-n*(n - 2)
Let s be 5 + -2 + 0 + -1 + 0. Factor -2/3*r**3 + 2/3 - 2*r + s*r**2.
-2*(r - 1)**3/3
Let p(a) = 7*a**3 - 5*a**2 - 11*a + 1. Let t(v) = 10*v**3 - 7*v**2 - 16*v + 1. Let h(w) = 7*p(w) - 5*t(w). Solve h(f) = 0.
-1, 2
Let d = 19 - 29. Let z be ((-8)/d)/((-4)/(-10)). Factor -z*s + 2*s**2 - 2*s**3 + 2*s**2 + 0*s.
-2*s*(s - 1)**2
Let d be (-3)/(-12) - (-7)/4. Suppose 0 = -x + d + 3. Solve -2*z**3 + 4*z**2 - x*z - 19*z + 16 + 8*z**2 = 0.
2
Let t(n) = -10*n. Let f be t(5). Let i be (12/f)/((-42)/70). Factor 8/5 + i*c**2 + 8/5*c.
2*(c + 2)**2/5
Let x(i) be the first derivative of -i**2 - 1/3*i**3 - 3 - i. Factor x(b).
-(b + 1)**2
Factor 2/3*q**2 - 2 - 4/3*q.
2*(q - 3)*(q + 1)/3
Let c(l) = -l - 4. Let f be c(-7). Determine b so that -3*b + 3*b**2 - 4*b**2 + 7*b**2 - 3*b**4 - 3*b**5 + 6*b**f - 3 = 0.
-1, 1
Let r(t) be the second derivative of t**5/30 - t**4/5 + 4*t**3/15 + 8*t**2/15 + t. Factor r(m).
2*(m - 2)**2*(5*m + 2)/15
Suppose 0 = 2*u - 0*u - u. Let u + 4/3*c**2 + c**3 - 4/3*c + 1/3*c**5 - 4/3*c**4 = 0. What is c?
-1, 0, 1, 2
Let j(b) be the first derivative of -3*b**3 - 15*b**2/2 - 6*b - 2. Factor j(t).
-3*(t + 1)*(3*t + 2)
Let t = 78 - 76. Let h(m) be the third derivative of -3*m**t + 1/60*m**5 + 1/6*m**3 - 1/12*m**4 + 0 + 0*m. Find s such that h(s) = 0.
1
Let v(s) be the first derivative of s**7/2 + 9*s**6/10 + 3*s**5/10 + 6*s + 5. Let t(u) be the first derivative of v(u). Factor t(p).
3*p**3*(p + 1)*(7*p + 2)
Let d(p) be the first derivative of 4*p**5/15 - p**3/3 + p**2/6 + 54. Factor d(a).
a*(a + 1)*(2*a - 1)**2/3
What is q in -1/2*q**3 - 4/3*q**2 - 2/3*q + 0 = 0?
-2, -2/3, 0
Let t = -35 + 37. Determine f, given that 3/4*f**t + 3/4*f - 3/2 = 0.
-2, 1
Let o(f) = -f + 4. Let b be o(0). Suppose -b*l = l. Factor 3*p**2 - 2*p + 4*p**2 - 5*p**2 + l*p.
2*p*(p - 1)
Let o(z) be the third derivative of z**7/1680 - z**6/360 + z**5/240 - 3*z**3/2 + 5*z**2. Let q(g) be the first derivative of o(g). What is y in q(y) = 0?
0, 1
Suppose -m - 3*p = 2*m + 3, -6 = 2*p. Suppose 0 = -d + m*d - 18. Factor -d*a**2 - 3*a - 30*a**4 + a**5 - 5*a**5 + 0*a**5 - 36*a**3 - 5*a**5.
-3*a*(a + 1)**3*(3*a + 1)
Factor -24*r**2 - 26*r**2 + 6 + 50*r**2 - 3*r**3 + 9*r.
-3*(r - 2)*(r + 1)**2
Determine m so that -4/11*m + 6/11*m**2 - 2/11*m**3 + 0 = 0.
0, 1, 2
Let k(r) = -2*r**4 - 7*r**3 + 14*r**2 + 17*r - 12. Let g(o) = -o**4 + o**3 + o**2 + o. Let x(a) = 5*g(a) - k(a). Factor x(z).
-3*(z - 2)**2*(z - 1)*(z + 1)
What is w in 2/11*w**2 - 4/11*w - 6/11 = 0?
-1, 3
Suppose 0 + 1/6*y**4 + 1/3*y**2 + 0*y + 1/2*y**3 = 0. What is y?
-2, -1, 0
Let 4 - 2*j**3 + 7*j**2 + j**3 - 8*j - 2*j**2 = 0. What is j?
1, 2
Let m(o) be the first derivative of o**5/20 - o**3/6 + o/4 - 2. Find j, given that m(j) = 0.
-1, 1
Let i(l) be the first derivative of -l**3 + 0*l - 9/4*l**2 - 6 + 3/8*l**4. Find j such that i(j) = 0.
-1, 0, 3
Let q(i) = -3*i**2 + 5*i + 3. Let x(o) = -5*o**2 + 8*o + 5. Let z(d) = -8*q(d) + 5*x(d). Factor z(s).
-(s - 1)*(s + 1)
Let u(x) = x**2 - 4*x + 3. Let m be u(3). Let c(y) be the first derivative of m*y - 1/4*y**2 - 1 - 1/6*y**3. Determine l, given that c(l) = 0.
-1, 0
Let x(v) be the second derivative of 0*v**4 + 4*v + 1/2*v**2 + 0 - 1/270*v**5 + 0*v**3. Let f(w) be the first derivative of x(w). Factor f(g).
-2*g**2/9
Suppose 0 = 3*y + 2*y - 10. Determine z so that 5*z**2 - 3*z**3 + 10*z**y - 6*z**2 - 6*z = 0.
0, 1, 2
Let v(o) = 2*o - 36. Let g be v(18). Let p(d) be the second derivative of -3*d + 0*d**2 + 1/78*d**4 + 2/39*d**3 + g. Suppose p(z) = 0. What is z?
-2, 0
Let a be 58/(-174) - 58/(-30). Solve 4/5*l**2 + 4/5 + a*l = 0 for l.
-1
Suppose 3*n = 11 + 7. Let q(f) be the second derivative of 0*f**2 - 1/42*f**4 + f + 1/105*f**n + 0 + 1/21*f**3 - 1/70*f**5. Find j, given that q(j) = 0.
-1, 0, 1
Let t(s) be the first derivative of s**7/105 + s**6/60 - s**5/15 + 3*s**2/2 + 5. Let g(n) be the second derivative of t(n). Factor g(w).
2*w**2*(w - 1)*(w + 2)
Let t(j) be the third derivative of -j**8/28 + 9*j**7/70 - 3*j**6/20 + j**5/20 + 15*j**2. Let t(r) = 0. What is r?
0, 1/4, 1
Let b(t) be the first derivative of t**9/4536 - t**8/1260 + t**7/1260 + 4*t**3/3 - 1. Let f(v) be the third derivative of b(v). Factor f(u).
2*u**3*(u - 1)**2/3
Let m(u) = -u**2. Let h(v) = 2*v**3 - 4*v**2 + 6*v + 2. Let o(d) = 2*h(d) - 20*m(d). Find z such that o(z) = 0.
-1
Let p(w) = w + 10. Let h be ((-9)/(-6))/((-6)/32). Let l be p(h). Factor -2*c**3 + 0 - 2/3*c**2 - 2/3*c**5 - l*c**4 + 0*c.
-2*c**2*(c + 1)**3/3
Let t = -49 - -69. Solve t - 20 + 5*z**3 - z**2 - 4*z**3 = 0.
0, 1
Let r(s) be the second derivative of s**8/2240 - 19*s**7/2520 + 11*s**6/240 - 3*s**5/40 - s**4/3 + 6*s. Let c(p) be the third derivative of r(p). Factor c(g).
(g - 3)**2*(3*g - 1)
Let -14/9*f**2 + 4/3 - 38/9*f = 0. Calculate f.
-3, 2/7
Let t = 113/4 - 28. Determine z so that t*z**2 - 1/4 + 0*z = 0.
-1, 1
Let m(r) = -r**3 - r**2 + 2*r + 3. Let f be m(0). Let a = f + -7/5. Factor 2/5*h**2 + 0 + 0*h + a*h**4 + 2*h**3.
2*h**2*(h + 1)*(4*h + 1)/5
Let f(h) = h + 14. Let s be f(-10). Solve d - 4*d**2 - s + 6*d**3 - 7*d + 8*d**2 = 0.
-1, -2/3, 1
Let i be (-2)/6*9/3. Let x be (-1)/(i*(-1)/(-4)). Factor 3*s**4 - 5*s**4 - x*s**3 + 3*s**2 - 5*s**2.
-2*s**2*(s + 1)**2
Let b(n) = n - 1. Let w(a) = -22*a**2 - 22*a + 18. Let k(i) = 36*b(i) + 2*w(i). Let k(v) = 0. Calculate v.
-2/11, 0
Let z be -3 + (-10)/18*-3. Let f = z - -11/6. Factor 1/2*w**3 - 3/2*w**2 + 3/2*w - f.
(w - 1)**3/2
Let b be 3419/26 + (-1)/2. Let q = -257/2 + b. Factor q*g**3 + g**2 + 0 + 1/2*g**5 + 0*g + 2*g**4.
g**2*(g + 1)**2*(g + 2)/2
Let y be 6/(-8) - 646/(-136). Factor -2/3*z**y + 0 - 2/3*z**2 + 4/3*z**3 + 0*z.
-2*z**2*(z - 1)**2/3
Let q(f) be the second derivative of -1/5*f**2 + 1/60*f**4 + 1/30*f**3 - f + 0. Factor q(v).
(v - 1)*(v + 2)/5
Let s(b) be the second derivative of -3*b**5/20 + b**4/2 + 7*b**3/2 + 6*b**2 + 4*b. Factor s(n).
-3*(n - 4)*(n + 1)**2
Let l = 14 - 12. Let z(n) be the second derivative of 0*n**l - 1/30*n**6 - 1/20*n**5 + 0 - n + 0*n**4 + 0*n**3. What is h in z(h) = 0?
-1, 0
Let w(u) = -10*u**4 + 15*u**3 + 5*u**2 + 10*u - 20. Let x(g) = g**4 - g**3 - g**2 + 1. Let d(k) = -w(k) - 25*x(k). Suppose d(b) = 0. Calculate b.
-1, -1/3, 1
Let y be (5 - (-1)/((-2)/10))/(-5). Factor y + 2/9*t**3 + 0*t**2 - 2/9*t**4 + 0*t.
-2*t**3*(t - 1)/9
Let f(w) = w**3 + 9*w**2 - w - 9. Let r be f(-9). Suppose 4*m + 6 - 14 = r. Factor -i + 2/3 + 1/3*i**m.
(i - 2)*(i - 1)/3
Let h(y) be the third derivative of y**8/35280 + y**5/10 + 4*y**2. Let v(j) be the third derivative of h(j). Suppose v(x) = 0. What is x?
0
Factor -16*p**2 + 6*p - 6*p + 4*p**2 - 3*p**4 - 12*p**3.
-3*p**2*(p + 2)**2
Let j(z) = -z**3 - 5*z**2 - 4*z. Let b(i) = -i**3 - 3*i**2 - 2*i. Let x(n) = -5*b(n) + 3*j(n). Factor x(q).
2*q*(q