 - 3/2*k**4 - k = 0.
-3, -2/7, 0, 1
Let o(a) be the second derivative of -2*a**6/15 + 4*a**5/5 - 5*a**4/3 + 4*a**3/3 + 39*a. Factor o(c).
-4*c*(c - 2)*(c - 1)**2
Let b(o) be the first derivative of 9*o**4/14 + 2*o**3/7 + 20. Let b(w) = 0. What is w?
-1/3, 0
Let a be ((-238)/(-210))/((-2)/4). Let n = a - -13/5. Factor -2/3 + 1/3*q**2 - q + q**3 + n*q**4.
(q - 1)*(q + 1)**2*(q + 2)/3
Let r = 104 + -104. Determine u so that -1/5*u**4 + 0*u**3 + r*u + 1/5*u**2 + 0 = 0.
-1, 0, 1
Factor -2/9 - 4/9*s - 2/9*s**2.
-2*(s + 1)**2/9
Suppose 0*l + 1/3*l**4 + 4/3*l**2 + 0 + 4/3*l**3 = 0. What is l?
-2, 0
Suppose -2*g = -2*d - 4, -2*g - 2*d = -3*d - 7. Suppose -4*z + 15 + 1 = 0. Factor -3*v**z + 7*v**2 - 2*v**g - 3*v**2 - 2*v**2 + v**4 + 2*v**3.
-2*v**2*(v - 1)*(v + 1)**2
Let p(a) be the second derivative of 1/12*a**3 + 2*a + 0 + 1/8*a**2 + 1/48*a**4. Factor p(q).
(q + 1)**2/4
Let r(g) = g**2 - 5*g + 7. Let c(k) be the first derivative of 2*k**3/3 - 3*k**2 + 8*k + 5. Let q(m) = 3*c(m) - 4*r(m). Let q(w) = 0. Calculate w.
-2, 1
Let t(n) = -8*n**2 - 3*n + 0*n + 10*n**2. Let w(m) = -7*m**2 + 13*m. Let d(f) = -9*t(f) - 2*w(f). Let d(a) = 0. Calculate a.
0, 1/4
Factor 323*z - 28*z**4 - 64*z**3 - 16*z**2 - 323*z.
-4*z**2*(z + 2)*(7*z + 2)
Let 19 - 14*h**3 + 3*h + 13*h**3 - 1 - 4*h**2 = 0. Calculate h.
-3, 2
Let c(m) be the third derivative of m**7/490 - m**6/70 + m**5/35 - 10*m**2. Suppose c(v) = 0. What is v?
0, 2
Factor -18*j + 0 - 3/2*j**2.
-3*j*(j + 12)/2
Factor 1/8*j**2 + 3/8*j + 1/4.
(j + 1)*(j + 2)/8
Let q(g) = g + 6. Let a be q(-4). Suppose 2*f + 4*z - 9 = -f, -a*f - z = -6. Factor 0*s + 0 + 2/7*s**2 + 2/7*s**f.
2*s**2*(s + 1)/7
Let n(q) be the first derivative of q**5/30 - q**4/4 + 2*q**3/3 - 5*q**2/6 + q/2 + 5. Factor n(t).
(t - 3)*(t - 1)**3/6
Let a(t) = -t**2 + 5*t + 1. Let v be a(4). Solve 4*o**2 - 6*o**4 - 18*o**3 + 20*o**4 - 6*o**v + 6*o**4 = 0.
0, 1/3, 1, 2
Factor 6 - 3/2*o**2 - 3/2*o**3 + 6*o.
-3*(o - 2)*(o + 1)*(o + 2)/2
Find b such that 76/5*b - 722/5 - 2/5*b**2 = 0.
19
Let w be -1 + 1 + -3 - -6. Suppose -w*h = h. Suppose -1/3*l**2 + 0 + h*l = 0. What is l?
0
Let t(n) be the second derivative of -n**5/30 + n**4/3 - 4*n**3/3 + 7*n**2/2 + 4*n. Let h(x) be the first derivative of t(x). Find s, given that h(s) = 0.
2
Factor 5/4*c**3 + 0 - 3/2*c**2 + 1/4*c**4 + 0*c.
c**2*(c - 1)*(c + 6)/4
Let v(q) be the second derivative of -3*q + 0 + 1/2*q**4 - 9/20*q**5 + 1/10*q**6 + 0*q**3 + 0*q**2. Factor v(l).
3*l**2*(l - 2)*(l - 1)
Let n = 1 + -4. Let h = n - -5. Determine z so that 0 + 1/4*z**h + 0*z = 0.
0
Let o(x) = 5*x**3 + x**2 + 3*x - 5. Let w(m) = 6*m**3 + m**2 + 4*m - 6. Let b(v) = v + 5. Let r be b(-9). Let l(t) = r*w(t) + 5*o(t). Factor l(g).
(g - 1)*(g + 1)**2
Let v(m) = -5*m**2 - 10*m. Let s(x) = -3*x**2 - 5*x. Let q(l) = -5*s(l) + 2*v(l). Solve q(z) = 0.
-1, 0
Let x(u) be the first derivative of u**6/14 - 3*u**5/35 - 3*u**4/28 + u**3/7 + 5. Factor x(j).
3*j**2*(j - 1)**2*(j + 1)/7
Let a(q) be the third derivative of -q**5/90 - 5*q**4/108 - 2*q**3/27 + 6*q**2. Find s such that a(s) = 0.
-1, -2/3
Let j be (-4)/(-20) - 14/(-5). Suppose -2*b = j*b - 15. Factor -a**2 + b*a**2 - 3*a**2.
-a**2
Solve -6/5*j**2 - 4/5 - 9/5*j - 1/5*j**3 = 0.
-4, -1
Let a(k) be the second derivative of 3/20*k**5 + k**4 + 3*k + 3*k**2 + 0 + 5/2*k**3. What is j in a(j) = 0?
-2, -1
Let i(k) be the second derivative of k**6/180 + k**5/20 + 13*k**4/72 + k**3/3 + k**2/3 + k. Factor i(y).
(y + 1)**2*(y + 2)**2/6
Let n(v) = v**4 - v**2 - v - 1. Let d(g) = -2*g**5 + 4*g**4 - 2*g**3 - 4*g**2 + 6*g + 2. Let q(k) = 2*d(k) + 4*n(k). Let q(i) = 0. What is i?
-1, 0, 1, 2
Suppose 5*t - 16 = 4. Suppose -3*j = 4*m + t, 4*m + m = -5*j - 10. Let 2/7*n + 6/7*n**m + 2/7*n**4 + 6/7*n**3 + 0 = 0. What is n?
-1, 0
Let a(i) be the first derivative of -2*i**3/33 - 4*i**2/11 - 8*i/11 - 7. Factor a(h).
-2*(h + 2)**2/11
Let g(b) = b**3 - 9*b**2 + 2. Let f be g(9). Suppose f*r**3 - 2*r + 4/3 - 2/3*r**4 - 2/3*r**2 = 0. Calculate r.
-1, 1, 2
Suppose -2*q - 3*g + g = -12, 4*q + 3*g - 20 = 0. Factor 1 - x**2 + q*x**2 + 2 - 4.
(x - 1)*(x + 1)
Let n(q) be the second derivative of -q**4/114 - 2*q**3/57 - q**2/19 - 12*q. Factor n(a).
-2*(a + 1)**2/19
Let u(x) be the second derivative of -2*x + 0*x**4 - 1/70*x**5 + 0*x**2 + 0*x**3 + 0 + 1/105*x**6. Factor u(v).
2*v**3*(v - 1)/7
Let c(t) be the third derivative of -t**8/84 - 11*t**7/315 + 11*t**6/90 + t**5/90 - t**4/6 + 8*t**2 + 2. Solve c(d) = 0.
-3, -1/2, 0, 2/3, 1
Suppose -4*v + v = -3, -2*p + 2*v + 6 = 0. Let l(t) be the third derivative of 0*t**3 + 0*t - 1/120*t**5 + 1/96*t**p + 1/480*t**6 - 2*t**2 + 0. Factor l(a).
a*(a - 1)**2/4
Let n = -160 + 163. Let i(k) be the second derivative of 0*k**2 + 1/9*k**n + 0 - 3*k + 0*k**5 - 1/63*k**7 - 1/9*k**4 + 2/45*k**6. Let i(c) = 0. Calculate c.
-1, 0, 1
Let m(z) be the first derivative of 1/24*z**6 + 0*z - 4 - 1/20*z**5 - 1/16*z**4 + 1/12*z**3 + 0*z**2. Factor m(a).
a**2*(a - 1)**2*(a + 1)/4
Let o(c) = c**3 + 174*c**2 + 2349*c + 10979. Let b(j) = -4*j**3 - 520*j**2 - 7048*j - 32936. Let a(i) = -3*b(i) - 8*o(i). What is l in a(l) = 0?
-14
Suppose 58 - 60 = -h. Factor 2/3 + 2/3*o**4 - 8/3*o**3 - 8/3*o + 4*o**h.
2*(o - 1)**4/3
Let l(c) be the first derivative of 3*c**5/10 - 9*c**4/8 + c**3 - 2. Suppose l(y) = 0. Calculate y.
0, 1, 2
Suppose -3*f + 21 = 2*r, -4*r + f = 28 - 77. Let x = -29/3 + r. Factor x*l**2 - 2/3*l + 0.
l*(7*l - 2)/3
Let 1/4*i + 1/2 - 1/2*i**2 - 1/4*i**3 = 0. What is i?
-2, -1, 1
Let q(s) be the first derivative of -3/4*s**2 + 0*s - s**3 + 8. Factor q(r).
-3*r*(2*r + 1)/2
What is a in 28/3*a**3 - 2*a**5 - 40/3*a**2 + 10/3*a**4 + 0 - 16/3*a = 0?
-2, -1/3, 0, 2
Let z(r) be the third derivative of r**7/735 - r**6/210 + r**5/210 - 9*r**2. Factor z(j).
2*j**2*(j - 1)**2/7
Let o(g) = -7*g + 4*g**2 - 3*g**2 - 2 - 4. Let b be o(8). Let 1/3*c**b + 0*c - 1/3 = 0. Calculate c.
-1, 1
Let k(n) = n**3 - 9*n**2 + n - 7. Suppose -2*y + 1 + 17 = 0. Let l be k(y). Let -4*p - 2*p**2 + p**l - p**2 = 0. Calculate p.
-2, 0
Let h(a) be the third derivative of a**5/360 - a**4/48 - 61*a**2. Factor h(q).
q*(q - 3)/6
Let j be 24/(-40) - 16/(-10) - -3. Let g(t) be the third derivative of 0*t + 1/180*t**5 + 0 + 1/36*t**j + 3*t**2 + 1/18*t**3. Factor g(a).
(a + 1)**2/3
Let l be (-2 + (-1 - -6))*1. Suppose -3*r + 4 = 4*g - 1, 0 = 3*r + l. Solve 9*f**5 - 20*f**4 + 6*f**4 - 12*f**2 + g - 16*f**4 + 34*f**3 - 3*f = 0.
-1/3, 2/3, 1
Let f = -30 + 33. Let b(j) be the first derivative of 0*j**3 + 0*j**4 + 0*j**2 - f - 1/3*j**6 + 2/5*j**5 + 0*j. Factor b(n).
-2*n**4*(n - 1)
Let p = 87 - 85. Factor 0 + 2/7*w**p + 0*w.
2*w**2/7
Let z(j) = -14*j. Let m be z(-1). Factor m*u**2 + 4*u + u + u - 5*u**2.
3*u*(3*u + 2)
Let r = -407 + 4479/11. Factor -2/11 + 2/11*p + r*p**2 - 2/11*p**3.
-2*(p - 1)**2*(p + 1)/11
Let n(g) be the third derivative of -g**6/180 + g**5/135 + g**2. Solve n(k) = 0.
0, 2/3
Let h(k) be the first derivative of 2*k**3/15 - 2*k**2/5 - 16*k/5 + 31. Suppose h(u) = 0. Calculate u.
-2, 4
Let x(d) be the third derivative of -d**8/840 + d**7/525 + d**6/100 - d**5/30 + d**4/30 + 6*d**2. What is k in x(k) = 0?
-2, 0, 1
Suppose -v + 4 = 3*v. Factor 6*x**3 + 9*x**4 - 7*x - 2 - 3*x + 3*x**5 - 6*x**2 - v + x.
3*(x - 1)*(x + 1)**4
Let u(o) be the second derivative of o**5/70 - o**3/21 - 30*o. Factor u(a).
2*a*(a - 1)*(a + 1)/7
Let y(g) be the second derivative of 0 + g**2 + 6*g + 3*g**4 - 9/5*g**6 - 8/3*g**3 + 0*g**5. Find n such that y(n) = 0.
-1, 1/3
Let 0*x + 0 + 6/5*x**3 + 4/5*x**2 + 0*x**4 - 2/5*x**5 = 0. What is x?
-1, 0, 2
Let -8*x + 4/3 - 13/3*x**2 = 0. Calculate x.
-2, 2/13
Let c(u) = -u**2 - 3*u + 3. Let m(a) = -3*a**2 - 5*a + 5. Let g(p) = 5*c(p) - 3*m(p). Suppose g(k) = 0. Calculate k.
0
Let o be 6/(-22)*52/(-78). Find i such that 2/11 - 2/11*i**3 + o*i - 2/11*i**2 = 0.
-1, 1
Solve -4/7*z**5 + 16/7*z**4 + 20/7*z - 8/7 - 8/7*z**2 - 16/7*z**3 = 0 for z.
-1, 1, 2
Let h = 55 + -51. Let l(q) be the third derivative of -1/9*q**h + 1/90*q**6 - q**2 + 4/9*q**3 + 1/315*q**7 - 1/30*q**5 + 0*q + 0. Factor l(y).
2*(y - 1)**2*(y + 2)**2/3
Let b(w) be the first derivative of w**8/1512 + w**7/315 - 2*w**5/135 + 2*w**2 - 1. Let r(y) be the second derivative of b(y). Factor r(j).
2*j**2*(j - 1)*(j + 2)**2/9
Let p = -681 + 5449/8. Factor 0 - p*l*