 3. Let l(c) = -6*c**3 + c**2 - 5*c + 0 - c**4 + 0 + c**2. Let j(d) = h*l(d) + 5*a(d). Let j(v) = 0. Calculate v.
-2, 0, 1
Determine w so that -18/7*w**3 + 2/7*w**4 + 36/7*w**2 + 0 + 0*w = 0.
0, 3, 6
Find p, given that 360/7*p + 2592/7 - 64/7*p**2 + 2/7*p**3 = 0.
-4, 18
Let x(w) be the first derivative of w**4/4 - 8*w**3/3 - 9*w**2/2 - 199. What is r in x(r) = 0?
-1, 0, 9
Let y(f) = f**2 + 11*f + 12. Let c(n) = n**3 + 22*n**2 + n + 12. Let w be c(-22). Let i be y(w). Let 0*b**3 - 1/3*b**i + 0 + 0*b + 1/3*b**4 = 0. What is b?
-1, 0, 1
Let d(x) be the third derivative of 22*x**2 + 5/336*x**8 + 1/2*x**6 + 1/7*x**7 + 0*x**3 + 0 + 5/6*x**5 + 0*x + 5/8*x**4. Factor d(j).
5*j*(j + 1)**3*(j + 3)
Let j(m) = -2*m**2 - 22*m - 20. Let d(t) = -4*t**2 - 44*t - 40. Let v(k) = -3*d(k) + 5*j(k). Factor v(b).
2*(b + 1)*(b + 10)
Let v(j) = -8*j**5 + 9*j**4 + j**3 - 9*j**2 + 7*j - 3. Let r(t) = 6*t**5 - 8*t**4 + 8*t**2 - 6*t + 2. Let s(y) = 3*r(y) + 2*v(y). Factor s(w).
2*w*(w - 2)*(w - 1)**2*(w + 1)
Let b(y) be the second derivative of -2*y**2 + 6*y - 2/45*y**6 - 4/3*y**4 - 2/5*y**5 - 20/9*y**3 + 0. Determine a, given that b(a) = 0.
-3, -1
Let g(r) = 90*r**3 - 80*r**2 - 435*r - 5. Let k(l) = 133*l**3 - 120*l**2 - 653*l - 7. Let f(d) = -7*g(d) + 5*k(d). Let f(z) = 0. What is z?
-2, 0, 22/7
Let f be (-28)/(-112) + 33/(-12)*-1. Suppose -6*v = -4*v - 18. What is w in -6*w**2 + 6 + 0 + v*w**3 - 7*w**f - 2*w = 0?
-1, 1, 3
Let t(r) = r**4 + 5*r**3 + 4*r**2 - 3*r + 3. Let m(i) = 12*i**4 + 56*i**3 + 44*i**2 - 34*i + 34. Let n(o) = -6*m(o) + 68*t(o). Let n(u) = 0. What is u?
-1, 0, 2
Let 3/4*b - 1/4*b**2 + 0 = 0. What is b?
0, 3
Let h(s) be the third derivative of -s**8/112 - 31*s**7/70 - 51*s**6/8 - 45*s**5/4 + 4*s**2 + 53. Let h(z) = 0. What is z?
-15, -1, 0
What is r in -5*r**5 + 945*r**2 + 36*r**3 - 980*r - 5*r**3 - 45*r**4 + 54*r**3 = 0?
-7, 0, 1, 4
Let j(x) be the second derivative of x**4/6 - 5*x**3/6 - 13*x**2/2 - 14*x. Let b(l) = l**2 - 3*l - 7. Let z(y) = -5*b(y) + 3*j(y). Factor z(d).
(d - 2)*(d + 2)
Let m(o) be the first derivative of -o**3 - 5 - 11*o + 6*o**2 + 8*o - 6*o. Factor m(z).
-3*(z - 3)*(z - 1)
Find x such that -3*x**2 + 474*x - 5952 - 2309 - 4745 - 5717 = 0.
79
Let z be (-1)/(-3*2/30). Suppose 0 = -2*x - 2*h + 140, -z*x + 3*h + 162 = -180. Find c, given that -2 + 3*c**4 + 66*c**2 - x*c**2 + 2 = 0.
-1, 0, 1
Let h(d) = 123*d**3 + 174*d**2 + 59*d + 34. Let k(j) = 61*j**3 + 87*j**2 + 30*j + 16. Let v(b) = 6*h(b) - 13*k(b). Factor v(t).
-(t + 1)*(5*t + 2)*(11*t + 2)
Factor -19*c**4 + 477*c**3 - 462*c**3 + 5*c**5 - 20*c - 12*c**4 + 25*c**2 + 6*c**4.
5*c*(c - 4)*(c - 1)**2*(c + 1)
Let w(s) be the second derivative of -s**7/70 - 9*s**6/50 - 9*s**5/50 + 4*s**4/5 + 469*s. What is r in w(r) = 0?
-8, -2, 0, 1
Let x(v) be the first derivative of -4*v**6/69 + 162*v**5/115 - 2*v**4 - 124*v**3/69 + 96*v**2/23 - 38*v/23 - 246. Solve x(a) = 0 for a.
-1, 1/4, 1, 19
Let y(d) = -15*d - 3. Let w be y(-4). Solve 52*g**2 - 104*g**2 + w*g**2 - 15*g = 0.
0, 3
Let o(s) be the third derivative of s**6/30 - s**5/3 + 4*s**4/3 - 8*s**3/3 + 2*s**2 + 38. Find c such that o(c) = 0.
1, 2
Let h be ((-4)/3)/(9/(-28 + 1)). Factor 5/7*c**2 - 2/7*c**5 + c**h - 9/7*c**3 - 1/7*c + 0.
-c*(c - 1)**3*(2*c - 1)/7
Let p(c) = -c**3 - 5*c**2 + 21*c - 20. Let f be p(-8). Let z(h) be the second derivative of 0 + 1/5*h**3 + f*h + 3/10*h**2 + 1/20*h**4. Factor z(l).
3*(l + 1)**2/5
Suppose 5*u = 3*w - 31, 3*u + 9 = 4*w - 7*w. Solve 0*h + 0*h**w + 0 + 0*h**3 + 3/7*h**4 + 3/7*h**5 = 0.
-1, 0
Let z(w) = -21*w**3 - 30*w**2 - 3*w + 3. Let m(b) = b**2 - b - 1. Let j = -88 + 87. Let f(s) = j*z(s) - 3*m(s). Let f(p) = 0. What is p?
-1, -2/7, 0
Let w = -1701 - -1701. Factor -8/5*v + w + 4/5*v**2.
4*v*(v - 2)/5
Let l(k) be the third derivative of k**6/780 + 17*k**5/390 + 71*k**4/156 + 55*k**3/39 - 78*k**2 + 4*k. Factor l(s).
2*(s + 1)*(s + 5)*(s + 11)/13
Suppose -58 - 28 = l - 2*k, 2*k = -5*l - 370. Let b = -379/5 - l. Factor 2/5*m + b*m**2 + 1/5.
(m + 1)**2/5
Factor -10/3*f + 8 + 1/3*f**2.
(f - 6)*(f - 4)/3
Let i(f) be the first derivative of -18 + 0*f + 1/5*f**5 - 1/2*f**4 + 1/3*f**6 - 1/3*f**3 + 0*f**2. What is g in i(g) = 0?
-1, -1/2, 0, 1
Let c(g) be the first derivative of -g**4/2 - 16*g**3/3 + 19*g**2 - 20*g - 54. Factor c(f).
-2*(f - 1)**2*(f + 10)
Let j be ((-240)/(-480))/((-1)/(-6)). Determine w, given that 0 - 48/17*w**j + 0*w - 42/17*w**4 - 8/17*w**2 + 98/17*w**5 = 0.
-2/7, 0, 1
Let m be (2 - (1 - 0))*(15 - 0). Factor 18 - m*h**2 - 9*h + 34*h + 14*h.
-3*(h - 3)*(5*h + 2)
Suppose 0 + 0 = -525*l + 680*l. Find x, given that -1/3*x**3 - 1/3*x - 2/3*x**2 + l = 0.
-1, 0
Let l = 2837 - 2834. Determine c so that 0 - 8/3*c**2 - 4/3*c - 5/3*c**l - 1/3*c**4 = 0.
-2, -1, 0
Let a(m) = -3*m**2 - 6*m - 4. Let o be a(-2). Let l be (o/(-18))/((25/(-15))/(-5)). Factor -l*s**2 + 0 + 2/3*s.
-2*s*(s - 1)/3
Let r(m) be the first derivative of -3 - 6/5*m**5 + 0*m**2 + 0*m - 1/2*m**4 + 4/3*m**3. Factor r(n).
-2*n**2*(n + 1)*(3*n - 2)
Let y = -142 + 145. Let d(r) be the first derivative of -6 - 2/15*r**y + 0*r + 1/10*r**2 - 1/20*r**4 + 2/25*r**5. Factor d(n).
n*(n - 1)*(n + 1)*(2*n - 1)/5
Determine w, given that 24/5*w**2 + 0 + 2/15*w**4 - 8/5*w**3 + 0*w = 0.
0, 6
Let i be 5/(-3) + (10 - 5). Let u(z) be the first derivative of -i*z**3 + 6 + 17*z**2 - 12*z. Factor u(d).
-2*(d - 3)*(5*d - 2)
Determine y, given that 13*y**3 - 3*y**3 - 4*y**4 + 6*y**3 - 13*y - 3*y + 64*y**2 - 60*y**2 = 0.
-1, 0, 1, 4
Suppose 0 - 2/9*c + 2/9*c**3 + 2/9*c**4 - 2/9*c**2 = 0. What is c?
-1, 0, 1
Suppose -122 = -6*t + 7*t. Let i = -243/2 - t. Determine v, given that 1/2*v**3 + 1/6*v + 0 + 1/6*v**4 + i*v**2 = 0.
-1, 0
Let l be (-92)/(-3) + (-36)/(-27). Let y be (-3)/4 - (-2168)/l. What is n in y*n - 67*n - 2*n**3 = 0?
0
Let c(n) be the second derivative of -1/5*n**2 + 1/20*n**4 + 0 + 1/30*n**3 - 1/150*n**6 - 1/100*n**5 + 10*n. Factor c(y).
-(y - 1)**2*(y + 1)*(y + 2)/5
Find y such that 4/3 - 5/6*y**3 + 1/6*y**5 + 2/3*y - 5/3*y**2 + 1/3*y**4 = 0.
-2, -1, 1, 2
Let y(g) be the second derivative of -g**6/225 - g**5/25 + 7*g**4/90 + 5*g + 4. Let y(r) = 0. What is r?
-7, 0, 1
Let u(w) = -8*w**5 + 12*w**4 - 15*w**3 + 4*w**2. Let t(d) = 7*d**5 - 11*d**4 + 14*d**3 - 4*d**2. Let z(s) = 7*t(s) + 6*u(s). Factor z(x).
x**2*(x - 2)**2*(x - 1)
Factor -9/2*i**2 - 51*i - 289/2.
-(3*i + 17)**2/2
Let z(y) be the first derivative of -y**4/6 - 2*y**3 - 5*y**2 + 50*y/3 + 164. Factor z(c).
-2*(c - 1)*(c + 5)**2/3
Let i(k) be the first derivative of 1/30*k**5 + k**3 + 1/3*k**4 + 0*k - 1 + 11/2*k**2. Let m(s) be the second derivative of i(s). Factor m(z).
2*(z + 1)*(z + 3)
Factor -31*n**2 + 13*n**3 + 103*n**2 + 7*n**3 + 3*n - 28*n + 23*n**2.
5*n*(n + 5)*(4*n - 1)
Let d = -10 - -6. Let b = 8 + d. What is r in -4*r**5 - 4*r + 8*r**3 + 3*r**5 - 3*r**2 - 3*r**5 - 5*r**2 + 4 + b*r**4 = 0?
-1, 1
Find f, given that -96*f - 46*f - 236 - 2*f**2 - 2*f**2 - 98*f = 0.
-59, -1
Let v be 8*-3*3/(-18). Factor -p**5 + 8*p - 4 - p**2 + 5*p**v - 5*p**3 - 4*p**3 + 2*p**3.
-(p - 2)**2*(p - 1)**2*(p + 1)
Let j(v) be the third derivative of 35*v**2 + 4/135*v**5 + 0 + 1/27*v**3 - 1/12*v**4 + 0*v. Factor j(u).
2*(u - 1)*(8*u - 1)/9
Let b = -69730/7 + 9962. Factor 8/7*p**2 - 8/7 + 4/7*p**3 - b*p.
4*(p - 1)*(p + 1)*(p + 2)/7
Let a(m) = -2*m**4 + 6*m**3 - 12*m**2 + 6*m - 2. Let c(i) = -i**3 - i**2 + i - 1. Let u(f) = -2*a(f) + 4*c(f). Factor u(b).
4*b*(b - 2)*(b - 1)**2
Factor 905*n**2 - 4*n**4 - 428*n**2 - 453*n**2 - 16*n - 32 + 4*n**3.
-4*(n - 2)**2*(n + 1)*(n + 2)
Suppose -157 = 19*b - 185*b + 175. Factor 2/17*o**b + 0 - 2/17*o**5 - 2/17*o**4 + 2/17*o**3 + 0*o.
-2*o**2*(o - 1)*(o + 1)**2/17
Let a(d) = -2*d**4 + 45*d**3 - 3*d. Let h(v) = v**4 - v. Let s(f) = a(f) - 3*h(f). Factor s(i).
-5*i**3*(i - 9)
Suppose -2*v + 18 = -m, 0 = -4*m - 2*v + 5*v - 67. Let n be (-1)/(-2*(-14)/m). Factor n*o - 2/7*o**2 + 0.
-2*o*(o - 2)/7
Let l be ((-5)/((-30)/4))/(55/132). Factor l*c + 2/5*c**2 + 8/5.
2*(c + 2)**2/5
Factor 7*u + 3*u**3 - 19*u + 3*u**2 - 529 + 517.
3*(u - 2)*(u + 1)*(u + 2)
Factor -12/17*w**2 - 36/17 + 50/17*w - 2/17*w**3.
-2*(w - 2)*(w - 1)*(w + 9)/17
Determine k, given that -464*k**2 + 100*k**4 + 170 + 86 - 296*k**3 + 16*k**5 + 613*k + 315*k = 0.
-8, -2, -1/4, 2
Let m(g) be the second derivative 