)/12) - 2. Factor -6/7*v**b + 0 + 4/7*v**3 + 2/7*v.
2*v*(v - 1)*(2*v - 1)/7
Let x(t) be the third derivative of 0*t + 0*t**3 + 0 + 1/1050*t**7 + 0*t**5 - 2*t**2 + 0*t**6 + 1/1680*t**8 + 0*t**4. Solve x(z) = 0 for z.
-1, 0
Let p(n) = -18*n**3 + 38*n**2 - 6*n. Let t(i) = -6*i**3 + 13*i**2 - 2*i. Let b(m) = -5*p(m) + 14*t(m). Factor b(x).
2*x*(x - 1)*(3*x - 1)
Let s be (-1)/3 + (-226)/(-120). Let r = s + -4/5. Find q, given that 0 + 0*q**2 + 0*q**4 - 3/4*q**5 + 3/2*q**3 - r*q = 0.
-1, 0, 1
Factor 0 - 3/4*u**2 + 3/4*u**4 - 9/4*u + 9/4*u**3.
3*u*(u - 1)*(u + 1)*(u + 3)/4
Let l be 1*((-36)/(-2))/3. Find q such that -8 + 4*q**2 + 0*q**2 - l*q**2 - 8*q = 0.
-2
Suppose -2*r + 8 = 0, 0 = -5*c - 4*r + 4 - 63. Let u be 0 - (-5)/(c/(-9)). Factor -1/3 - a**2 + 1/3*a**u + a.
(a - 1)**3/3
Let v be 2 - 4 - 14/1. Let t = v - -24. Solve 2*o**4 + 2 - 6 + 2 + 8*o + 4 + t*o**3 + 12*o**2 = 0 for o.
-1
Let c(d) be the first derivative of -d**6/21 + d**4/14 - 9. Suppose c(u) = 0. What is u?
-1, 0, 1
Let p(f) be the third derivative of f**7/210 + f**6/60 - f**5/60 - f**4/12 + 7*f**2. Determine o, given that p(o) = 0.
-2, -1, 0, 1
Let k = -26/3 - -419/48. Let h(x) be the second derivative of 0*x**3 + 1/2*x**2 - k*x**4 + 3*x + 0 - 1/80*x**5. What is a in h(a) = 0?
-2, 1
Let b(m) be the first derivative of -2*m**4/11 + 14*m**3/33 + 2*m**2/11 + 1. What is u in b(u) = 0?
-1/4, 0, 2
Suppose -3/4*h**2 + 0 + 1/2*h = 0. What is h?
0, 2/3
Let s(j) be the third derivative of 2*j**7/105 + j**6/5 + 3*j**5/5 - 18*j**2. Suppose s(n) = 0. What is n?
-3, 0
Let h(k) be the second derivative of -1/90*k**5 + 3*k + 0 + 1/27*k**3 + 1/9*k**2 - 1/54*k**4. What is p in h(p) = 0?
-1, 1
Suppose -4*c = 6*c - 40. Let -2/9*u**5 - 8/9*u**c - 4/3*u**3 - 2/9*u + 0 - 8/9*u**2 = 0. Calculate u.
-1, 0
Let i(h) = 4 - 3 + 7*h - 2*h - 2. Let u be i(1). Factor -268/7*k**3 - 216/7*k + 54/7 + 104/7*k**u + 342/7*k**2 - 16/7*k**5.
-2*(k - 1)**2*(2*k - 3)**3/7
Let h = -4754/5 + 954. Let i(n) be the first derivative of -h*n**5 + 0*n + 0*n**2 - 1 - 2*n**4 - 1/3*n**3. Factor i(f).
-f**2*(4*f + 1)**2
Let h be ((-40)/210)/(12/(-434)). Suppose -16/9*c + 8/9 - h*c**2 + 70/9*c**3 = 0. What is c?
-2/5, 2/7, 1
Suppose -3*m + 5*a = -6 - 6, 0 = a. What is d in -1/2 + d**2 + 0*d**3 - 1/2*d**m + 0*d = 0?
-1, 1
Let c(f) be the first derivative of -f**4/4 + 2*f**2 + 19. Factor c(o).
-o*(o - 2)*(o + 2)
Determine b, given that -2 - 10/9*b**4 - 2/3*b + 2/9*b**5 + 28/9*b**2 + 4/9*b**3 = 0.
-1, 1, 3
Let l(d) be the first derivative of 0*d + 1/8*d**2 + 1/16*d**4 + 1/2*d**3 - 4 + 2/3*d**6 - 6/5*d**5. Factor l(s).
s*(s - 1)**2*(4*s + 1)**2/4
Let i(t) be the third derivative of t**8/840 + 4*t**7/525 + t**6/60 + t**5/75 - 8*t**2. Factor i(o).
2*o**2*(o + 1)**2*(o + 2)/5
Let s(a) be the third derivative of -a**5/20 + a**4/8 + 2*a**2. Determine x, given that s(x) = 0.
0, 1
Let a(j) be the first derivative of -2/3*j**3 + 3/4*j**4 - 3/2*j**2 + 2*j + 3. Factor a(g).
(g - 1)*(g + 1)*(3*g - 2)
Factor -4*y**3 + 10*y**2 + 7*y + 5*y - 22*y**2 + 7*y**3.
3*y*(y - 2)**2
Let w = 3 - 6. Let r be (-41)/w + (-3)/(-9). Find j, given that 32*j**4 - 8*j**3 - 28*j**2 - r*j**5 + 22*j - 3 - 1 + 0 = 0.
-1, 2/7, 1
Let l(q) be the first derivative of -1/3*q**2 + 1/3*q**3 + 5/12*q**4 - 1 + 0*q. Suppose l(z) = 0. What is z?
-1, 0, 2/5
Suppose -3*l - 2 - 3 = -t, -3*t = 4*l - 2. Factor 4/3*p + 35/3*p**t - 4/3.
(5*p + 2)*(7*p - 2)/3
Let j(g) be the first derivative of g**6/180 - g**5/20 + g**4/6 - 7*g**3/3 - 2. Let q(l) be the third derivative of j(l). Factor q(v).
2*(v - 2)*(v - 1)
Let r be (-90)/126 - ((-4)/2 + 1). Factor 2/7*c**4 - 2/7*c**2 + 0 + 2/7*c - r*c**3.
2*c*(c - 1)**2*(c + 1)/7
Let a(w) be the first derivative of -7*w**4/10 + 4*w**3 - 29*w**2/5 + 12*w/5 - 35. Factor a(t).
-2*(t - 3)*(t - 1)*(7*t - 2)/5
Let d be -6 + (-144)/(-34) + 3 + -1. Solve d + 2/17*f**2 + 6/17*f = 0.
-2, -1
Let w(g) be the second derivative of 1/6*g**3 + 0 - 1/6*g**2 - 1/12*g**4 + 4*g + 1/60*g**5. Factor w(j).
(j - 1)**3/3
Let h be (-1)/(-3 - 16/(-6)). Factor -4*n**2 + 2*n**2 - 6*n - h*n**2 - 3 + 2*n**2.
-3*(n + 1)**2
Let o = -1201/10 - -121. Let k(w) be the first derivative of 2 + 0*w**2 + o*w**4 + 4/15*w**3 + 0*w. Factor k(m).
2*m**2*(9*m + 2)/5
Let i be (-155)/(-20) + (-5 - -1). What is o in 39/4*o**3 + 1/2*o + 15/4*o**5 + i*o**2 + 41/4*o**4 + 0 = 0?
-1, -2/5, -1/3, 0
Suppose 6*d - 12 = -2*g + 3*d, 5*g - d = -4. Let o be g/(0 - (2 - 3)). Factor -1/2 + 1/2*u**2 + o*u.
(u - 1)*(u + 1)/2
Let i(l) be the first derivative of 5 - 3/2*l**2 + 0*l - 9/8*l**4 + 5/2*l**3. Determine t, given that i(t) = 0.
0, 2/3, 1
Let h(c) = c**2 - 17*c + 5. Let t(o) = -16*o + 4. Let u(v) = -4*h(v) + 5*t(v). Determine x so that u(x) = 0.
-3, 0
Let t(b) be the second derivative of b**7/1260 - b**6/360 - b**5/30 + b**4/3 - b. Let j(r) be the third derivative of t(r). Let j(k) = 0. What is k?
-1, 2
Let f(l) be the second derivative of -2*l**4/3 - 4*l**3/3 - 3*l. Let w(i) = -i**3 + 33*i**2 + 33*i - 1. Let n(x) = 9*f(x) + 2*w(x). Factor n(g).
-2*(g + 1)**3
Let f(i) be the second derivative of -i**6/180 + i**5/30 - 5*i**4/72 + i**3/18 - 4*i. Find c, given that f(c) = 0.
0, 1, 2
Let f(x) = -2*x**3 + 2*x**2 - 1. Let h be f(-1). Suppose -2*i**4 + 6*i**3 + 0*i**4 - i**2 - 9*i**h = 0. What is i?
-1, -1/2, 0
Let x(b) be the second derivative of -3*b - 1/15*b**6 + 0 + 1/21*b**7 + 1/6*b**4 + 0*b**3 - 1/10*b**5 + 0*b**2. Factor x(f).
2*f**2*(f - 1)**2*(f + 1)
Let y = 2 - 25. Let a = -19 - y. Find d such that -2/7*d**a - 6/7*d**2 - 2/7*d + 0 - 6/7*d**3 = 0.
-1, 0
Factor 1/4*m**3 + 0*m**2 + 0 + 0*m - 1/4*m**4.
-m**3*(m - 1)/4
Find i, given that 9/7*i**4 + 3/7*i**3 - 9/7*i**2 - 6/7*i + 0 + 3/7*i**5 = 0.
-2, -1, 0, 1
Let u be ((-9)/9)/((-3 + 2)/1). Factor -u - 1/3*h**3 - 1/3*h**2 + 5/3*h.
-(h - 1)**2*(h + 3)/3
Solve -18*s**4 - 40*s**2 + 20*s + 19*s**4 + 25*s**5 - 45*s**3 + 39*s**4 = 0 for s.
-2, -1, 0, 2/5, 1
Let v(j) = -j**2 - 8*j - 4. Let y be v(-7). Let 0*k - 2/5*k**y + 8/5*k**5 + 0 - 6/5*k**4 + 0*k**2 = 0. Calculate k.
-1/4, 0, 1
Let h(x) = 8*x**4 - 3*x**3 + 5*x**2 + 9*x + 5. Let b(s) = 17*s**4 - 6*s**3 + 11*s**2 + 19*s + 11. Let n(q) = 6*b(q) - 13*h(q). Find r such that n(r) = 0.
-1, 1/2, 1
Let s be 2*2/(6/3). Factor 4*b**2 - b**3 - 2*b**s - 5*b**2 + 4 + 0*b**3.
-(b - 1)*(b + 2)**2
Solve -8*z - z + 3*z**2 - 6 + 3*z**4 + 0*z + 9*z**3 = 0.
-2, -1, 1
Let b(f) = -f**4 + 5*f**3 + 3*f**2 - f. Suppose 12 = 2*s + s. Let u(n) = n**s - 2 + 3*n - n**3 + 2 - 2*n. Let p(r) = 2*b(r) + 4*u(r). What is l in p(l) = 0?
-1, 0
Factor 3/7 + 1/7*h**2 - 4/7*h.
(h - 3)*(h - 1)/7
Factor 49*u - 49*u + 3 - 3*u**2.
-3*(u - 1)*(u + 1)
Let b(m) = -m**3 + m**2 + 1. Let l(w) = 4*w**3 + 16*w**2 + 4*w - 32. Let d(q) = 8*b(q) + l(q). Factor d(x).
-4*(x - 6)*(x - 1)*(x + 1)
Let c(j) = 12*j**4 + 15*j**3 - 3*j**2 - 15*j. Let w(x) = 3*x**4 + 4*x**3 - x**2 - 4*x. Let u(y) = 2*c(y) - 9*w(y). Factor u(o).
-3*o*(o - 1)*(o + 1)*(o + 2)
Let l = -208 + 210. Factor v**l + 1/2*v**3 + 0 + 0*v.
v**2*(v + 2)/2
Let g = 42/13 + -268/91. Suppose -10/7*j + g + 6/7*j**2 + 18/7*j**3 = 0. What is j?
-1, 1/3
Let h = -4 + 4. Suppose -10 = -5*g - h*g. Factor 5*v**4 + 3*v**5 - 2 + v - 8*v**5 + 10*v**g - 13*v**4 + 4*v**3.
-(v - 1)*(v + 1)**3*(5*v - 2)
Let u = 13/70 + -2/105. Let l(j) be the second derivative of 1/18*j**3 - 1/36*j**4 - 1/60*j**5 - 2*j + 0 + u*j**2. Solve l(t) = 0 for t.
-1, 1
Factor 0*d + 3/4*d**2 + 0 + 3/2*d**3.
3*d**2*(2*d + 1)/4
Let k(v) = 2*v**2 + 2*v - 2. Let w be k(-2). Determine t, given that -3 - 7*t + 0*t**w + t**2 + 6*t + 1 = 0.
-1, 2
Let b = -741 - -62245/84. Let r(c) be the third derivative of 3*c**2 + 0*c + 0 + 0*c**3 + b*c**6 + 5/147*c**7 - 8/105*c**5 + 1/21*c**4. Factor r(t).
2*t*(t + 1)*(5*t - 2)**2/7
Solve 2/9*z**3 + 0 - 2/9*z + 0*z**2 = 0.
-1, 0, 1
Let b be 0 - (0/1)/(-2 - -3). Factor 0*x**3 - 6/5*x**2 + 3/5 + b*x + 3/5*x**4.
3*(x - 1)**2*(x + 1)**2/5
Let w = 131/3 + -205/6. Let z = 10 - w. Find k, given that z + 3/4*k + 1/4*k**2 = 0.
-2, -1
Let y(p) be the third derivative of 0 + 5/12*p**4 + 0*p + 7/30*p**5 - 2/3*p**3 + 3*p**2. Let y(a) = 0. What is a?
-1, 2/7
Determine d, given that 0*d + 6/5*d**4 + 0 + 6/5*d**3 + 2/5*d**2 + 2/5*d**5 = 0.
-1, 0
Let f(r) = 2*r + 12. Let d be f(-6). Let 2/7*z**2 + d + 2/7*z - 2/7*z**3 - 2/7*z**4 = 0. What is z?
-