**3/5
Let l be 188/(-192) + 3 + -2. Let m(t) be the third derivative of -l*t**4 + 0 + t**2 - 1/24*t**3 - 1/240*t**5 + 0*t. Factor m(c).
-(c + 1)**2/4
Let y be ((-1)/2)/((-11)/22). Let g be (y/(-9))/((-2)/6). Factor -1/3*s**2 + 1/3*s + g - 1/3*s**3.
-(s - 1)*(s + 1)**2/3
Factor -4*l**5 - 6*l**4 + 3*l**2 - 2*l**3 - 3*l**2.
-2*l**3*(l + 1)*(2*l + 1)
Determine p so that 9*p + 27/2 + 3/2*p**2 = 0.
-3
Let m(d) = -d**2 + 3*d + 6. Let c be m(4). Let v(o) be the third derivative of 0*o**4 + o**c + 0*o + 0 + 1/360*o**6 - 1/60*o**5 + 2/9*o**3. Factor v(z).
(z - 2)**2*(z + 1)/3
Suppose 4*m + 22 - 74 = -5*f, -4*f - 4*m + 40 = 0. Let p be 6/3 + 2 + -2. Suppose 5 - 6*s**3 - 8*s + 11 - f*s**2 - 8*s**p = 0. What is s?
-2, 2/3
Let g(j) be the first derivative of 2 - 1/3*j**3 + 2*j + 1/4*j**4 + 1/6*j**2. Let a(f) be the first derivative of g(f). Factor a(m).
(3*m - 1)**2/3
Let j(y) be the third derivative of -1/12*y**4 + 0 + 0*y**3 + 0*y - 1/60*y**5 + 1/120*y**6 + 2*y**2. Factor j(r).
r*(r - 2)*(r + 1)
Let l(r) = -r - 3. Let v be l(-7). Factor 3*z - 2*z**4 - z**v + 3*z**2 - 3*z**3 + z**4 - z**4.
-3*z*(z - 1)*(z + 1)**2
Suppose 8 = -3*q - 58. Let c be 2/(-4) - q/20. Suppose 0 + 3/5*z**2 + c*z**4 - 6/5*z**3 + 0*z = 0. What is z?
0, 1
Let q(r) be the second derivative of -5*r**4/12 - 5*r**3/6 - 7*r. Factor q(d).
-5*d*(d + 1)
Factor -6/17*x**2 + 0 + 0*x**3 + 2/17*x**4 + 4/17*x.
2*x*(x - 1)**2*(x + 2)/17
Let t(q) = -4*q**2 + 3*q - 2. Let b be (-3)/4 + (-147)/28. Let j(g) = g**2 - g + 1. Let c(f) = b*j(f) - 2*t(f). Factor c(l).
2*(l - 1)*(l + 1)
Let s(b) = -b**2 + 6*b + 3. Let r = -8 - -13. Let a be s(r). Factor 0*l**4 + l**4 + 8*l**3 + l**4 + 12*l**2 + a*l + 2.
2*(l + 1)**4
Let f = 9 - 7. Suppose 23*o**4 + 6*o + 123*o**3 - 21*o + 6 - 17*o**4 - 69*o**4 - 51*o**f = 0. Calculate o.
-1/3, 2/7, 1
Let j(s) be the third derivative of s**6/1440 - s**5/240 + s**4/96 + 5*s**3/6 - s**2. Let b(y) be the first derivative of j(y). Find d, given that b(d) = 0.
1
Let p = 14 + -10. Suppose -4*l = -y - 11, -p*y = 2*l - 7*l + 22. Let -1/4*b + 1/4*b**3 - 1/4*b**l + 1/4 = 0. Calculate b.
-1, 1
Suppose -8 + 26 = d + 5*b, 15 = 5*b. Let s(h) be the first derivative of 1/3*h**d - 2*h + 1/2*h**2 - 1. Factor s(y).
(y - 1)*(y + 2)
Let x be 3 - 5 - -3 - (1 + -3). Let t(o) be the first derivative of o - 3 - 1/4*o**4 - 7/4*o**2 + 7/6*o**x. Determine d so that t(d) = 0.
1/2, 1, 2
Let f(u) be the first derivative of -u**5/20 + 7*u**4/16 - 5*u**3/4 + 9*u**2/8 - 37. Find s, given that f(s) = 0.
0, 1, 3
Suppose 3*p - 14 = p. Let b be (p - (-1 + 0))/2. Solve r**b + 7 + r - 7 - r**2 - r**3 = 0.
-1, 0, 1
Factor -8 - 20*p**4 + 28*p + 22*p**3 - 2*p**3 - 36*p**2 + 16*p**4.
-4*(p - 2)*(p - 1)**3
Let g be (0/(-3) - -21) + 1. Let b be (-8)/20 - g/(-5). Factor r**5 - 2*r**2 - 2*r**3 + 1 - r**4 + 3*r**b - r**4 + r.
(r - 1)**2*(r + 1)**3
Let i(z) = -3*z**3 - 12*z**2 - 11*z - 2. Let r(s) = -s**2 - s. Let g(j) = 3*i(j) - 12*r(j). Factor g(x).
-3*(x + 1)**2*(3*x + 2)
Let u(y) be the third derivative of -y**7/6720 + y**6/960 - y**5/480 - 5*y**3/3 - y**2. Let p(g) be the first derivative of u(g). Determine k so that p(k) = 0.
0, 1, 2
Let g = 17 - 49/4. Find h, given that -g*h**3 - 15/4*h**5 + 17/2*h**4 + 0 + h - h**2 = 0.
-2/5, 0, 2/3, 1
Let a(x) = -9*x**2 + 3*x - 5. Let r(z) = -5*z**2 + 2*z - 3. Let g(v) = -6*a(v) + 11*r(v). Factor g(b).
-(b - 3)*(b - 1)
Suppose 11 = -4*g - 25. Let d = g - -11. Find a, given that -5*a**2 - 3*a**2 - 3*a**3 + a**d + 4*a**2 = 0.
-1, 0
Let j = -1234 - -3704/3. What is p in -8/3*p - j*p**2 - 8/3 = 0?
-2
Suppose u - c - 40 = -4*c, -4*c = u - 42. Let k = u + -7. Suppose 2*w**2 - 27 + k + 4*w**3 + 2*w**4 = 0. Calculate w.
-1, 0
Let o(k) = k + 3. Let z be o(0). Find c, given that 6*c**3 - 4*c**5 - c**3 - 3*c**z - c + 3*c**5 = 0.
-1, 0, 1
Factor 4*q**2 - 8 + 2*q - 4*q**3 + 2*q + 4*q**2.
-4*(q - 2)*(q - 1)*(q + 1)
Let j be (8/(-16))/(2/(-6)). Let h(m) be the first derivative of 3/16*m**4 - j*m + 15/8*m**2 + 4 - m**3. Find s, given that h(s) = 0.
1, 2
Let s(h) be the third derivative of h**8/24 - 19*h**7/105 + h**6/4 - h**5/30 - h**4/6 + 3*h**2 - 4*h. Solve s(m) = 0 for m.
-2/7, 0, 1
Let p = 5/64 + 113/192. Solve -2/3*i**3 + 0*i**2 + 1/3 + p*i - 1/3*i**4 = 0.
-1, 1
Suppose 3*w - r + 0 - 3 = 0, 3*w - 2*r = 0. Let -3*q - 8*q**2 - 9*q**2 + 14*q**w = 0. What is q?
-1, 0
Let j(m) = -m**2 - 6*m + 5. Let r be j(-6). Suppose -r*w = -w - 12. Factor w + 3*q**3 - 8*q**2 + 5*q**2 - q - 2*q.
3*(q - 1)**2*(q + 1)
Let l(q) be the third derivative of -q**9/120960 + q**7/3360 - q**6/720 - 7*q**5/60 + 4*q**2. Let j(c) be the third derivative of l(c). Factor j(h).
-(h - 1)**2*(h + 2)/2
Let p(t) be the third derivative of -1/48*t**4 + 0 + 1/40*t**5 - 1/80*t**6 + 1/420*t**7 - 5*t**2 + 0*t**3 + 0*t. Factor p(g).
g*(g - 1)**3/2
Suppose 5*a - 6 - 9 = 0. Suppose a = 5*z - 22. Factor -3/2*n - 1/2 + n**3 + 3/2*n**4 + 1/2*n**z - n**2.
(n - 1)*(n + 1)**4/2
Let d = 3811 + -19331/5. Let g = d + 56. Solve -g*u + 0 - 2*u**2 + 6/5*u**3 = 0.
-1/3, 0, 2
Let s = -393/3080 + 17/132. Let a(q) be the third derivative of 0*q + 0*q**3 - 4*q**2 + s*q**8 + 0*q**5 + 1/150*q**6 + 0*q**4 - 1/175*q**7 + 0. Factor a(p).
2*p**3*(p - 2)*(p - 1)/5
Let c(z) = 2*z**5 + 6*z**4 + 14*z**3 + 14*z**2 + 4*z - 4. Let n(m) = 2*m**5 + 5*m**4 + 13*m**3 + 14*m**2 + 4*m - 5. Let w(y) = 5*c(y) - 4*n(y). Solve w(x) = 0.
-2, -1, 0
Let h be 20/2 + -4 + (3 - 5). What is i in 2*i**3 - 2/5*i + 6/5*i**h + 2/5*i**2 + 0 = 0?
-1, 0, 1/3
Let j be (-2)/(-13) + 63/351. Factor -j*s + 1/3*s**2 + 1/3*s**3 - 1/3.
(s - 1)*(s + 1)**2/3
Let d(x) be the first derivative of -1/10*x**5 - 1/4*x**4 - 2*x - 1/6*x**3 - 2 + 0*x**2. Let l(v) be the first derivative of d(v). Suppose l(j) = 0. What is j?
-1, -1/2, 0
Let y = -87 + 89. Factor -3*s**y + 3/2 - 21/4*s.
-3*(s + 2)*(4*s - 1)/4
Let k(u) = 18*u**2 + 5*u + 1. Let d(a) = 9*a**2 + 3*a. Let q(z) = 7*d(z) - 3*k(z). Suppose q(w) = 0. Calculate w.
-1, 1/3
Suppose -j + 6*j - 2*x + 3 = 0, x = 3*j + 1. Let n(m) be the first derivative of -2*m**2 - 2*m + 2/5*m**5 + m**4 - j + 0*m**3. Solve n(d) = 0.
-1, 1
Factor 30*m + 69 + 20*m - 5*m**2 - 194.
-5*(m - 5)**2
Let x(d) = d + 9. Let n be x(-5). Factor -5*v**2 - v**2 + n*v**3 - 3*v - 7*v**3.
-3*v*(v + 1)**2
Let c(f) = -4*f**2 + 9*f + 4. Let u(n) = n**3 + 6*n**2 - 7*n - 5. Let t be u(-7). Let a(l) = -l**2 + l. Let x(q) = t*a(q) + c(q). Factor x(y).
(y + 2)**2
Let m(c) = -c**2 - 8*c - 6. Let r be m(-7). Suppose -u = -3 + r. Solve -2*h**5 + h**3 + h**3 + 2*h**4 - 2*h**u + 2*h - 2*h = 0.
-1, 0, 1
Let k(u) be the third derivative of u**8/504 + u**7/105 + u**6/90 - u**5/45 - u**4/12 - u**3/9 + 8*u**2. Find x, given that k(x) = 0.
-1, 1
Let o(f) = 6*f**5 + 50*f**4 + 86*f**3 + 118*f**2 + 68*f + 12. Let k(c) = -c**4 + c**3 - c**2 - c. Let w(h) = 10*k(h) + o(h). Factor w(d).
2*(d + 1)**3*(d + 3)*(3*d + 2)
Let h(a) be the second derivative of 1/2*a**3 + 2*a + 1/20*a**5 + 0 - 1/2*a**2 - 1/4*a**4. What is z in h(z) = 0?
1
Let w(i) be the third derivative of -i**8/1512 + i**6/180 - i**5/135 - 13*i**2. Solve w(g) = 0.
-2, 0, 1
Factor -8/7*i - 4/7*i**2 - 4/7.
-4*(i + 1)**2/7
Determine m, given that 14/5*m**3 + 0*m**4 - 2/5 - 8/5*m**5 - 6/5*m + 2/5*m**2 = 0.
-1, -1/2, 1
Let j(o) = -o**2 - 10*o + 11. Let b be j(-11). Let l(z) be the third derivative of 0*z**4 + 0 + b*z + 0*z**3 + 1/60*z**5 - 2*z**2. Determine w so that l(w) = 0.
0
Let l = 3 + -2. Let i(t) = t**2 - 17*t + 36. Let x be i(15). Factor -3 - x*d**2 + 0 + 2*d**3 + l + 6*d.
2*(d - 1)**3
Let g = 64922 + -4090382/63. Let m = g + 36/7. Find b such that -2/9 + 2/3*b**5 - 4/3*b**3 + m*b**2 + 2/3*b - 2/9*b**4 = 0.
-1, 1/3, 1
Let g(l) be the second derivative of -l**6/1620 + l**5/270 + l**3/2 - 2*l. Let u(n) be the second derivative of g(n). Find i such that u(i) = 0.
0, 2
Let t = 16 + -14. Find m such that m**4 - 5*m - 2*m**t + 5*m - m**3 = 0.
-1, 0, 2
Let i(k) be the first derivative of -4*k**5/5 + 2*k**4 - 4*k**3/3 + 7. Factor i(n).
-4*n**2*(n - 1)**2
Let z(o) be the second derivative of o**4/78 + 2*o**3/39 - 3*o**2/13 - 26*o. Factor z(u).
2*(u - 1)*(u + 3)/13
Let b(l) be the second derivative of -l**7/2520 - l**6/720 - l**4/6 - 2*l. Let w(f) be the third derivative of b(f). Factor w(q).
-q*(q + 1)
Find v such that -1/3*v**2 + 4/3 + 0*v = 0.
-2, 2
Suppose 3