 1/4*c**4. Factor l(r).
3*(r - 1)**2*(r + 1)*(2*r - 1)
Let c(k) be the second derivative of k**5/4 - 10*k**3/3 + 12*k. Let c(x) = 0. Calculate x.
-2, 0, 2
Let g(w) be the first derivative of w**3/6 + w**2/2 - 6. Factor g(s).
s*(s + 2)/2
Let g(n) be the first derivative of -n**6/120 - n**5/20 - n**4/8 - n**3/6 - 3*n**2/2 - 1. Let l(i) be the second derivative of g(i). Factor l(b).
-(b + 1)**3
Let m(v) be the first derivative of 14*v**3/69 + 79*v**2/23 + 44*v/23 - 61. Suppose m(c) = 0. What is c?
-11, -2/7
Let o = 3169/24 + -132. Let f(v) be the third derivative of -o*v**3 - 1/48*v**4 - 2*v**2 - 1/240*v**5 + 0*v + 0. Factor f(r).
-(r + 1)**2/4
Let p(r) be the second derivative of -1/105*r**7 + 1/5*r**3 - 1/15*r**4 + 1/25*r**6 - 1/5*r**2 - 1/25*r**5 + 0 - 6*r. Factor p(u).
-2*(u - 1)**4*(u + 1)/5
Suppose -5 = 5*q + 10. Let f = q + 3. Factor f*l**3 + 0*l**2 + 0 + 2/9*l**5 + 0*l - 2/9*l**4.
2*l**4*(l - 1)/9
Let d(h) = 2*h**4 - 2*h**2 - 6. Let v(a) = 2*a**4 + a**3 - 3*a**2 - 7. Let k(x) = -7*d(x) + 6*v(x). Solve k(s) = 0.
0, 1, 2
Let f(b) be the third derivative of -b**6/120 - b**5/20 - b**4/12 - 11*b**2. Factor f(g).
-g*(g + 1)*(g + 2)
Let g = 22 - 21. Suppose w + g = 4. Factor 2/3*i**4 + 0 + 0*i + 0*i**w - 2/3*i**2.
2*i**2*(i - 1)*(i + 1)/3
Let d(h) be the third derivative of -h**5/12 - 5*h**4/12 - 5*h**3/6 - 18*h**2. Factor d(f).
-5*(f + 1)**2
Let m(a) be the first derivative of -a**7/525 + a**6/150 - a**2 - 3. Let u(c) be the second derivative of m(c). Let u(o) = 0. Calculate o.
0, 2
Let u(r) be the first derivative of -r**4 - r**3 + 3*r**2/2 + 3. Let f(d) = 5*d**3 + 4*d**2 - 4*d. Let i(a) = 3*f(a) + 4*u(a). Factor i(c).
-c**3
Let u = -10/9 + 143/126. Let g(x) be the second derivative of u*x**4 + 1/70*x**5 + x - 1/7*x**2 + 0 - 1/21*x**3. Suppose g(k) = 0. Calculate k.
-1, 1
What is w in -2/5*w**2 + 0*w - 2/5*w**3 + 2/5*w**4 + 2/5*w**5 + 0 = 0?
-1, 0, 1
Suppose -m = 3 - 8. Suppose 5*r - 5 = 0, 0 = 4*k + m*r - 19 + 6. Factor -1/3*y**k - 1/3*y + 0.
-y*(y + 1)/3
Let u(p) = p**2 + 5*p + 2. Let n be u(-5). Suppose -x = -18*x + 34. Determine k, given that 6*k - 3*k**n - 8*k + 2*k**x = 0.
-2, 0
Solve -5/2*t**5 + 4*t + 0 - 3/2*t**3 - 11*t**4 + 11*t**2 = 0.
-4, -1, -2/5, 0, 1
Let i be 4 + 2 - (-57)/(-38). Suppose -3/2*p**2 - 3 - i*p = 0. What is p?
-2, -1
Suppose -2 = 2*r - 3*w, -2*r - 6*w = -3*w - 10. Find x such that 6*x**2 + 0*x**r + 4*x - 4*x**2 - 5*x - x**3 = 0.
0, 1
Determine i so that 8 - 16*i**4 + 8*i**2 - 4*i**5 + 20*i - 8*i**3 + 4 - 4 - 8*i**3 = 0.
-2, -1, 1
Let f(i) = i**3 - i**2 + 2. Let y be f(0). Factor 2*w**4 + w**3 - 12*w**3 - 4*w + 10*w**y + 3*w**3.
2*w*(w - 2)*(w - 1)**2
Suppose 0*o = -2*o + 12. Let f be (1/(-2))/((-1)/o). Suppose k + 2*k - k - 5*k + f*k**2 = 0. What is k?
0, 1
Factor -1/4*l**2 - 1 + 5/4*l.
-(l - 4)*(l - 1)/4
Let b be (-32)/144 - (-38)/9. Suppose -1 - 2*l**b - 2*l**3 - 2*l**2 + 1 - 2*l**3 = 0. Calculate l.
-1, 0
Let u(y) be the first derivative of -y**6/180 + y**5/30 - 2*y**3/3 - 3. Let l(g) be the third derivative of u(g). Determine q so that l(q) = 0.
0, 2
What is i in -4/11*i + 0 + 2/11*i**2 = 0?
0, 2
Let i(z) = -z**2 + 2*z + 5. Let f be i(4). Let o be (f/(-3))/1*2. Factor -2*g**o - g + 3*g + 0*g.
-2*g*(g - 1)
Let o(j) be the third derivative of 5*j**8/224 + 11*j**7/70 + 19*j**6/40 + 4*j**5/5 + 13*j**4/16 + j**3/2 - 20*j**2. Suppose o(m) = 0. Calculate m.
-1, -2/5
Let -2*n**4 - 152*n**3 - 12*n**5 + 180*n**3 + 13*n**4 + 5*n**4 = 0. What is n?
-1, 0, 7/3
Let m(a) = 7*a**2 + 4 - 8 + 2*a**3 + 0*a**2 - 3*a**2 - 2*a. Let r(o) = o**2 - 1. Let j(w) = -m(w) + 4*r(w). Factor j(s).
-2*s*(s - 1)*(s + 1)
Let a(q) = 8*q**4 - q**3 + 3*q**2 + 5. Let j(d) = 15*d**4 - 3*d**3 + 6*d**2 + 9. Let n(c) = -9*a(c) + 5*j(c). Let n(s) = 0. Calculate s.
0, 1
Factor -17/7*k + k**4 - 1/7*k**5 - 9/7 + 18/7*k**3 + 2/7*k**2.
-(k - 9)*(k - 1)*(k + 1)**3/7
Find s such that -6/7*s**3 + 9/7*s**4 + 0*s + 0 - 3/7*s**2 = 0.
-1/3, 0, 1
Let o be (1/((-2)/(-4)))/7. Let c(j) = -j**3 + 10*j**2 - 26*j + 7. Let n be c(5). Suppose -6/7*a**n - o*a**3 + 8/7 + 0*a = 0. Calculate a.
-2, 1
Find b such that 6*b**2 + 3/2*b**3 + 15/2*b + 3 = 0.
-2, -1
Let p(q) = -5*q**4 + 125*q**3 - 1080*q**2 + 3515*q - 2560. Let y(v) = v. Let b(j) = p(j) + 5*y(j). What is x in b(x) = 0?
1, 8
Let i = 97 - 371/4. Determine l so that -11/2*l**2 - 1/4 - i*l**4 + l**5 + 7*l**3 + 2*l = 0.
1/4, 1
Let u(m) be the third derivative of -25*m**7/14 + 45*m**6/8 + 39*m**5/2 + 43*m**4/2 + 12*m**3 - 28*m**2. Factor u(r).
-3*(r - 3)*(5*r + 2)**3
Let y be 4*(-1 + 0) + 6. Factor 0 + 3/4*p - 3/4*p**y.
-3*p*(p - 1)/4
Solve b**2 + 12 + 2*b**2 - 7*b**2 + 16*b + 8*b**2 = 0 for b.
-3, -1
Let u(b) be the third derivative of 6*b**2 + 1/9*b**4 - 1/45*b**6 - 1/30*b**5 - 1/315*b**7 + 4/9*b**3 + 0 + 0*b. Suppose u(t) = 0. What is t?
-2, -1, 1
Let o be (6/(-27))/(2/(-18)). Let t be (0 - 16/10) + o. Suppose -2/5*a - t + 2/5*a**2 + 2/5*a**3 = 0. What is a?
-1, 1
Let f = 4 - 2. Factor -14*g + 2*g**2 + 19*g**f - 2*g**2 - 4 - g**2.
2*(g - 1)*(9*g + 2)
Let 0 + 3*k**2 + 3 + 4*k - 13*k + 3 = 0. Calculate k.
1, 2
Let v(y) = -1. Let j(m) = -m**3 + 7*m**2 - 2. Let b be j(7). Let r(l) = -l**5 + 6*l**4 - 9*l**3 + 1. Let x(z) = b*v(z) - 2*r(z). Factor x(t).
2*t**3*(t - 3)**2
Let g be (-4)/(-2) + (-3)/(-3). Suppose g*w = -2*a + 19, -a = 2*w - 3*w - 2. Factor w - 5 + 2 + 2*x**2.
2*x**2
What is j in 12*j - 17*j - 1 + 5*j**3 + 35*j**2 - 34 = 0?
-7, -1, 1
Let s(f) be the third derivative of -3*f**7/140 + 19*f**6/80 - 33*f**5/40 + 9*f**4/16 + 8*f**2. Suppose s(y) = 0. Calculate y.
0, 1/3, 3
Let o(q) be the first derivative of -q**3/36 - 5*q**2/24 - 7. Factor o(f).
-f*(f + 5)/12
Let z(c) be the second derivative of 5*c**4/12 - 10*c**3/3 - 30*c**2 - 24*c. Find d such that z(d) = 0.
-2, 6
Let m(f) = 3*f**5 - 3*f**4 - 11*f**3 + 11*f**2 + 8. Let p(y) = 2*y**5 - 2*y**4 - 7*y**3 + 7*y**2 + 5. Let n = 8 - 13. Let l(b) = n*m(b) + 8*p(b). Factor l(s).
s**2*(s - 1)**2*(s + 1)
Factor 5*k**5 + 6*k**3 - 14*k**3 + 9*k**4 - k**5 - 5*k**4.
4*k**3*(k - 1)*(k + 2)
Suppose 2*v + d - 2 - 4 = 0, -d + 18 = 5*v. Factor -h**3 - v*h + 3*h + 0*h - 3*h**2 - 2*h**3 - h**4.
-h*(h + 1)**3
Let d(u) = u - 9. Let v be d(7). Let g be (-3 - (-8 - v)) + 0. Factor 3*r**5 + 3*r + 3*r**4 + 4*r**4 - 5*r**2 - 4*r**4 + g - 6*r**3 - r**2.
3*(r - 1)**2*(r + 1)**3
Let m = -659/545 - -6/5. Let p = m + 659/545. Factor -2/5*t**2 - p*t - 4/5.
-2*(t + 1)*(t + 2)/5
Let x = 7 + -13. Let l(y) = y + 1. Let m(z) = -43*z**3 - 5*z + 3*z**2 - 5 - 1 - z**4 + 2*z**4 + 46*z**3. Let k(p) = x*l(p) - m(p). Factor k(d).
-d*(d + 1)**3
Suppose 5/2*a**2 + 5*a - 15/2 = 0. What is a?
-3, 1
Let w(s) = s**3 - 14*s**2 + 2. Let x be w(14). Let q(o) be the second derivative of 0 + 1/40*o**5 - 1/24*o**4 + 1/60*o**6 + 0*o**x - 1/12*o**3 - o. Factor q(d).
d*(d - 1)*(d + 1)**2/2
Let f(s) be the third derivative of 1/40*s**6 - s**3 + 2*s**2 - 1/8*s**4 + 1/10*s**5 + 0*s + 0. Solve f(v) = 0.
-2, -1, 1
Let d = 17/2 - 8. Let y(l) be the second derivative of 0 + 1/4*l**4 + l + d*l**3 - 3*l**2. What is u in y(u) = 0?
-2, 1
Let y = -33 + 33. Let g(v) be the second derivative of y*v**2 - 1/4*v**5 + 1/6*v**3 + 1/12*v**4 + 1/10*v**6 + 3*v + 0. Factor g(q).
q*(q - 1)**2*(3*q + 1)
Factor 0*f**2 + 0 + 0*f**3 + 0*f - 3/8*f**4.
-3*f**4/8
Let q = 465 + -309. Let m = -621/4 + q. Factor 1/4 + 1/4*c**3 + m*c + 3/4*c**2.
(c + 1)**3/4
Factor -28/3*s**2 + 0 - 4*s + 47/3*s**3 - 7/3*s**4.
-s*(s - 6)*(s - 1)*(7*s + 2)/3
Let u be (-4)/((-1360)/(-1012)) + 3. Let t = u + 322/765. Suppose 2*h**3 - 2*h - t*h**2 + 4/9 = 0. Calculate h.
-1, 2/9, 1
Let u be (-15)/(-10) + (-2)/4. Let n(v) = 2*v**3 - 2*v + 4. Let w(z) = z**3 + z**2 + 1. Let k(q) = u*n(q) - 4*w(q). Factor k(c).
-2*c*(c + 1)**2
Let w(t) be the second derivative of t**7/70 - 2*t**6/25 + 3*t**5/20 - t**4/10 + 3*t. Find z, given that w(z) = 0.
0, 1, 2
Factor -1/5*m**3 + 0 - 2/5*m**2 - 1/5*m.
-m*(m + 1)**2/5
Suppose 28*k = 47*k - 38. Factor 12/5*q**4 - 3/5*q - 3/5*q**5 + 12/5*q**k - 18/5*q**3 + 0.
-3*q*(q - 1)**4/5
Factor -3*d**3 + 1 + 4*d**2 + 5*d**3 + 304*d - 5 - 306*d.
2*(d - 1)*(d + 1)*(d + 2)
Let t = -3 + 5. Determine f so that 0*f + f - 3 + 3 - 2*f**t = 0.
0, 1/2
Let r = -238/3 + 80. Let j = -8 - -26/3. Factor r*m**2 + 0 - j*m.
2*m*(m - 1)/3
Suppose -11*h = 2*h + h. Let q(x) be the