 be the first derivative of -4/9*o**3 + 23 - 1/3*o**2 - 1/6*o**4 + 0*o. Factor h(i).
-2*i*(i + 1)**2/3
Let q(w) be the second derivative of -4/15*w**4 + 0 + 0*w**3 - 2/25*w**5 + 0*w**2 - 1/150*w**6 + 11*w. Factor q(b).
-b**2*(b + 4)**2/5
Let m(w) be the third derivative of -7*w**2 + 1/21*w**3 + 0 + 1/210*w**5 + 0*w + 1/42*w**4. Factor m(k).
2*(k + 1)**2/7
Let r be (-8)/10 - (8 + -7) - 0. Let a = -13/10 - r. Factor 3/4 - 1/4*x**2 + a*x.
-(x - 3)*(x + 1)/4
Let k(b) be the second derivative of -15*b**7/14 + 19*b**6/10 + 9*b**5/4 - 23*b**4/4 + 6*b**2 + 36*b. Suppose k(c) = 0. What is c?
-1, -2/5, 2/3, 1
Let i(d) be the first derivative of d**4/20 - 3*d**3/5 + 182. Factor i(n).
n**2*(n - 9)/5
Suppose 9*u + 5 - 50 = 0. Let f = u - 3. Determine n so that 4/9*n**4 + 0 + 2/9*n - 4/9*n**f - 2/9*n**5 + 0*n**3 = 0.
-1, 0, 1
Let v(k) = k**2 - 2*k + 2. Let x be v(1). Let z be 0*3/3*x. Factor -1/2*i - 21/4*i**3 + 17/4*i**4 + 11/4*i**2 + z - 5/4*i**5.
-i*(i - 1)**3*(5*i - 2)/4
Suppose 0 = -6*j + 14 - 44. Let s be j + (25/1)/5. Factor -4*g**4 - 12/5*g**5 + 0 - 4/5*g**3 + 4/5*g**2 + s*g.
-4*g**2*(g + 1)**2*(3*g - 1)/5
Let l(h) be the third derivative of -h**6/30 - 7*h**5/15 + 4*h**4/3 - 151*h**2. What is z in l(z) = 0?
-8, 0, 1
Suppose -k = -259 + 259. Let n(h) be the first derivative of -2/35*h**5 + 1/7*h**4 - 2/21*h**3 + 1 + k*h**2 + 0*h. Determine s so that n(s) = 0.
0, 1
Let u(s) = 4*s**2 + s + 4. Let l(r) = -2*r**2 - r. Let f(g) = -3*l(g) - u(g). Let f(y) = 0. Calculate y.
-2, 1
Let i(c) be the second derivative of -3*c**6/10 + 21*c**5/20 + 43*c**4/4 - 123*c**3/2 + 54*c**2 + 89*c. Suppose i(z) = 0. What is z?
-4, 1/3, 3
Let k be (-1 + (1 - 2))*15/2. Let g be (-2 + 10/k)/((-4)/6). Factor 0*f**2 + 2/9*f**g + 0*f + 0 + 4/9*f**3.
2*f**3*(f + 2)/9
Suppose -10*g = -195 - 125. Suppose i + i + 10 = 0, -g = -4*s + 4*i. Solve 0 - 3*x**s + 9/2*x**4 - 3/2*x**2 + 0*x = 0.
-1/3, 0, 1
Suppose -7 = -8*x + 7*x. Let c = x - 4. Factor -c*r**2 - 6*r + 5 + 7 - 3.
-3*(r - 1)*(r + 3)
Let u = 2 - -15. Let p = -297 - -345. Factor u*v**2 + 19*v**2 + 12 - p*v - 12*v**3 + 8*v**2 + 4.
-4*(v - 2)*(v - 1)*(3*v - 2)
Let a(c) be the second derivative of c**6/195 - c**4/13 + 8*c**3/39 - 3*c**2/13 - c - 44. Factor a(y).
2*(y - 1)**3*(y + 3)/13
Suppose -1/9*b**3 - 1/9*b + 0 + 2/9*b**2 = 0. What is b?
0, 1
Let k(i) be the third derivative of -i**7/357 + 43*i**6/1020 - i**5/5 + 8*i**4/51 + 32*i**3/51 - 2*i**2 - 7. Solve k(j) = 0.
-2/5, 1, 4
Let -16/7*o - 24/7 - 2/7*o**2 = 0. Calculate o.
-6, -2
Let j(q) = -q**2 - 2. Let t(o) = -2*o**3 + 6*o**2 + 2*o - 12. Let k(f) = -2*j(f) + t(f). Factor k(u).
-2*(u - 4)*(u - 1)*(u + 1)
Let w(y) be the third derivative of -y**6/420 - 2*y**5/35 - 3*y**4/7 - 32*y**3/21 - 16*y**2. Suppose w(a) = 0. What is a?
-8, -2
Let o(s) = -14*s**3 + 18*s**2 + 4*s - 8. Let q(x) = -x**3 + x**2. Let n(t) = -o(t) + 10*q(t). Factor n(u).
4*(u - 2)*(u - 1)*(u + 1)
Determine d, given that 5*d**5 - 1260*d**2 - 24*d**4 - 13*d**4 + 450*d**3 - 43*d**4 + 260*d**2 + 625*d = 0.
0, 1, 5
Let s = -14 - -17. Factor 0*x**4 - 13*x**s + 14*x**3 + x**4.
x**3*(x + 1)
Let d(t) be the first derivative of t**5/15 + t**4/6 - 4*t**3/3 + 3*t**2 - 8. Let m(s) be the second derivative of d(s). Let m(g) = 0. What is g?
-2, 1
Let t(r) be the second derivative of -2/3*r**3 - 4*r**2 + 0 + 1/5*r**5 - 2/15*r**6 + r**4 - 8*r. Factor t(y).
-4*(y - 2)*(y - 1)*(y + 1)**2
Suppose 5*b = 23 + 12. Factor 7*p - p**2 - 13*p - 2 + 0 - b.
-(p + 3)**2
Let m = -76 - -180. Let n be (-1*(-1)/(-6))/(m/(-312)). Factor 1/2*v + 3/2*v**2 - n*v**3 - 1 - 1/2*v**4.
-(v - 1)**2*(v + 1)*(v + 2)/2
Let t(w) be the third derivative of w**8/840 + w**7/105 + 2*w**6/75 + 2*w**5/75 - w**2 + 1. Factor t(u).
2*u**2*(u + 1)*(u + 2)**2/5
Let s(a) be the second derivative of a**4/12 + 4*a**3/3 - 9*a**2/2 - 198*a. Suppose s(p) = 0. What is p?
-9, 1
Let d(g) = 5*g - 13. Let y be d(6). Suppose 14*v - 11 = y. Solve a**4 + 0*a + 1/4*a**v - a**3 + 0 = 0 for a.
0, 1/2
Suppose 13*h - 19*h = 42. Let r be (-24)/33*(-2 - h/4). Factor 2/11 + r*a**2 - 4/11*a.
2*(a - 1)**2/11
Let k(b) be the first derivative of -25 - 4/3*b**2 + 2*b + 2/9*b**3. Factor k(f).
2*(f - 3)*(f - 1)/3
Let j(i) = -i**3 - 7*i**2 - 4*i - 23. Let a be j(-7). Suppose -10*t - 20*t**3 - 11*t**3 - 27*t**3 - 25*t**4 + 13*t**3 - 35*t**2 - a*t**5 = 0. Calculate t.
-2, -1, 0
Let n = 99564/5 - 19912. Factor 0*l + 12/5*l**3 + 0 + 0*l**2 + n*l**4.
4*l**3*(l + 3)/5
Suppose -2/3*p**5 + 16/3*p**4 - 44/3*p**3 + 56/3*p**2 - 34/3*p + 8/3 = 0. What is p?
1, 4
Let x(f) be the third derivative of f**5/270 + 5*f**4/36 + 14*f**3/27 - 2*f**2 - 115. Factor x(m).
2*(m + 1)*(m + 14)/9
Let z(b) be the second derivative of -b**5/4 + 65*b**3/6 + 30*b**2 - 75*b. Factor z(m).
-5*(m - 4)*(m + 1)*(m + 3)
Factor -1/6*i**3 - 32*i + 256/3 + 4*i**2.
-(i - 8)**3/6
Let m(d) be the first derivative of 1/8*d**3 - 1/4*d**2 - 1/48*d**4 - 1 + 6*d. Let f(b) be the first derivative of m(b). Factor f(o).
-(o - 2)*(o - 1)/4
Find l such that 6*l - 4 + 5*l - 10*l**3 - 3967*l**2 - 7*l**4 - 7*l**4 - l + 3985*l**2 = 0.
-1, 2/7, 1
Let c(i) be the second derivative of 1/7*i**6 - 13/42*i**4 + 0 + 4/7*i**2 - 8/21*i**3 - 15*i + 1/5*i**5. Let c(t) = 0. What is t?
-1, 2/5, 2/3
Let t(w) = w**2 + 6*w + 8. Let z be t(-5). Let i be 12/4*z/3. Suppose 1 - 1 + 4*j - 17*j**3 + 16*j**i = 0. What is j?
-2, 0, 2
Let l be (1 - 0)*(7 + -11 - -17). Let j = -10 + l. Solve -8/3*f**2 - 4*f**j + 0 + 4/3*f = 0 for f.
-1, 0, 1/3
Let k(g) be the third derivative of -g**9/3024 - g**8/448 + g**6/36 + 23*g**4/24 - 6*g**2. Let r(d) be the second derivative of k(d). Factor r(u).
-5*u*(u - 1)*(u + 2)**2
Let p be (0 + -2 + 1)*-3. Let j be (2*1/p)/((-1)/(-4)). Solve 0 - j*n + 4/3*n**2 = 0.
0, 2
Suppose -3*g + 4*i = -39, 6*i = 2*g + 2*i - 30. Factor -g*v**5 + 4*v + 12*v**3 - 3*v - 4*v**2 - 5*v - v**3 + 6*v**4.
-v*(v - 1)**2*(3*v + 2)**2
Let w(p) be the third derivative of -p**5/180 - 17*p**4/72 + 19*p**3/9 - 2*p**2 - 3*p. Solve w(k) = 0.
-19, 2
Let j(w) be the first derivative of -w**6/4 + 9*w**5/5 - 89. Factor j(a).
-3*a**4*(a - 6)/2
Suppose -65*n + 66*n = -4*t + 13, -5 = -5*n. Factor 0 + 0*a**2 + 0*a + 1/5*a**t.
a**3/5
Let i(m) be the third derivative of m**7/1050 + m**6/40 - 63*m**5/100 + 207*m**4/40 - 108*m**3/5 + 524*m**2. Factor i(p).
(p - 3)**3*(p + 24)/5
Suppose -x + 7 = m, -5*m + 31 = -2*x + 5*x. Determine d, given that 24/5*d**3 - 8/5*d - 4/5*d**x + 0 = 0.
-1/2, 0, 2/3
Let y(i) be the first derivative of 0*i + 9 + 0*i**2 + 4/3*i**3. Factor y(q).
4*q**2
Let w(g) be the first derivative of 0*g + 26/9*g**3 + 44 - 2/3*g**2. Factor w(i).
2*i*(13*i - 2)/3
Let u(h) be the third derivative of 0 + 5/336*h**8 - 1/4*h**5 + 27*h**2 + 0*h + 1/24*h**6 + 1/14*h**7 - 5/12*h**4 + 0*h**3. Factor u(n).
5*n*(n - 1)*(n + 1)**2*(n + 2)
Find a such that -a**3 - a**2 - 3*a**2 + 909*a**4 + 0*a**5 + a**5 - 905*a**4 = 0.
-4, -1, 0, 1
Factor -184*v - 3981 + 0*v**2 + 2869 - 5*v**2 + 9576 + 6*v**2.
(v - 92)**2
Let t(u) = u**3 - 279*u**2 - 13248*u - 207646. Let o(v) = -3*v**3 + 557*v**2 + 26494*v + 415292. Let c(k) = -6*o(k) - 14*t(k). Factor c(r).
4*(r + 47)**3
Let k = -226 - -682/3. Let m(i) be the first derivative of 2*i + i**2 + 2 - k*i**3. Factor m(h).
-2*(h - 1)*(2*h + 1)
Find x, given that 36*x + 30 + 44*x + 5*x**4 - 5*x**3 - 35*x**2 - 75*x = 0.
-2, -1, 1, 3
Suppose -1/2*q**2 + 1/2*q + 6 = 0. Calculate q.
-3, 4
Let v(p) be the first derivative of p**3/2 - 15*p**2/2 - 33*p/2 + 465. Factor v(x).
3*(x - 11)*(x + 1)/2
Let a(i) be the third derivative of -i**8/336 - 13*i**7/105 + 7*i**6/15 - 19*i**2 - 4*i. Factor a(q).
-q**3*(q - 2)*(q + 28)
Let b(q) be the first derivative of -q**8/1680 + q**7/280 - q**5/30 + 13*q**3/3 - 13. Let x(u) be the third derivative of b(u). Factor x(f).
-f*(f - 2)**2*(f + 1)
Suppose -5*z = -3*t - 32, 2*z - 5*z = 4*t + 4. Suppose 22 = 6*x - x + z*a, -3*a = 2*x - 13. Factor 0*q + 7 + 3*q + 3*q + 2*q**x - 3.
2*(q + 1)*(q + 2)
Factor 24 + 86*w**2 + 25*w**2 + 52*w**3 + 97*w**2 + 8*w**2 + 188*w.
4*(w + 1)*(w + 3)*(13*w + 2)
Let h be (13/(-4) - -3)*-4. Suppose 54 = -5*m - h. Let f(b) = b + 1. Let a(x) = x**2 + 3*x + 2. Let p(d) = m*f(d) + 6*a(d). Determine w so that p(w) = 0.
-1, -1/6
Let b be (-4700)/(-1650) - 2/11. Let q(a) be the first derivative of 2*a**4 + 0*a**2 - 2/