+ 21*x**2 - 9*x + 3. Let n(a) = 16*a**3 + 5*a**2 - 25*a**2 - 2*a**2 - 7*a**4 - 3 + 8*a. Let u(l) = 4*c(l) + 3*n(l). Factor u(t).
3*(t - 1)**4
Let x(d) be the second derivative of 5*d**4/12 + 15*d**3 - 30*d. Factor x(i).
5*i*(i + 18)
Let j be 4*((-2)/(-12) + (-21)/882). Factor 16/7 - 12/7*q**2 + 0*q - j*q**3.
-4*(q - 1)*(q + 2)**2/7
Let v = -16 - -20. Let g be (-1)/v + 3/4. What is y in -g*y**4 + 6*y**3 - 27*y**2 - 81/2 + 54*y = 0?
3
Let s be (7/98*-4)/((-4)/7). Find c such that c**2 - 1/2*c - 1/2*c**4 + c**3 - 1/2*c**5 - s = 0.
-1, 1
Let h be -1*3 + (-8)/(96/(-42)). Let 1/4*f**2 + h*f**5 - 1/4*f**4 - 3/4*f**3 + 1/4*f + 0 = 0. What is f?
-1, -1/2, 0, 1
Let p(t) = -3*t**3 + t + 2. Let q(a) = a - 1. Let d(f) = f**3 - 1. Let j(n) = 4*d(n) - q(n). Let v(h) = 4*j(h) + 6*p(h). Suppose v(g) = 0. What is g?
-1, 0, 1
Suppose 0*b + 3*b = 12. Suppose 2*v = b*v. Factor v*r**5 + r**4 - r**5 - r - 2*r**2 + 1 + 3*r**3 - r**3.
-(r - 1)**3*(r + 1)**2
Let u(s) be the first derivative of -2*s**6/3 - 56*s**5/5 - 73*s**4 - 688*s**3/3 - 352*s**2 - 256*s - 33. Factor u(t).
-4*(t + 1)**2*(t + 4)**3
Let 3*j**2 - 3/2*j**5 + 0 + 0*j**4 + 0*j + 9/2*j**3 = 0. Calculate j.
-1, 0, 2
Let y(a) = -a**3 + 8*a**2 + 7*a + 12. Let t be y(9). Let p be ((-2)/t)/(2/18). Factor 0*z**3 + 0*z**2 + 2*z**2 - z**p.
-z**2*(z - 2)
Let w(y) = y + 7. Let m be w(0). Suppose -m = -i - 2. Let 9*k + k**i - 9*k - k**3 = 0. What is k?
-1, 0, 1
Factor -3/5 + 3/5*k**2 - 3/5*k + 3/5*k**3.
3*(k - 1)*(k + 1)**2/5
Factor 4*l**4 + 0*l + 2*l + 6*l**3 - 2*l**4 + 6*l**2.
2*l*(l + 1)**3
Let k(h) = -h**3 - 5*h**2 + 5*h - 2. Let d(p) = -3*p + 6. Let q be d(4). Let t be k(q). Factor 0*w - 5*w**t + w + w**2 - w**3 + 4*w**4.
-w*(w - 1)*(w + 1)**2
Let u(h) = 2*h**2 - 8*h - 3. Let t(m) = -m**2 + 7*m + 2. Let a(c) = -5*t(c) - 4*u(c). Let g(d) = 13*d**2 + 13*d - 8. Let l(w) = 9*a(w) + 2*g(w). Factor l(x).
-(x - 1)*(x + 2)
Let o(x) = -x**3 - 11*x**2 - 4. Let t(w) = -w**2 - 2*w - 1. Let g(r) = o(r) - 4*t(r). Factor g(c).
-c*(c - 1)*(c + 8)
Factor -6 - 27/2*l - 9*l**2 - 3/2*l**3.
-3*(l + 1)**2*(l + 4)/2
Let b(p) = -6*p**2 + 9*p**3 + 9*p + 10 - 8*p**3 + 15*p**2. Let d be b(-8). Suppose c**4 - 1 + d*c**3 - c + 0 - c = 0. What is c?
-1, 1
Let w(k) be the first derivative of 2*k**5/15 + k**4/2 - 2*k**3/3 - 11*k**2/3 - 4*k + 25. Factor w(j).
2*(j - 2)*(j + 1)**2*(j + 3)/3
Let y(f) be the first derivative of f**4/2 - 4*f**3/3 - f**2 + 4*f + 6. Factor y(o).
2*(o - 2)*(o - 1)*(o + 1)
Let t be (-1 + 1)/(5/(-30)*6). What is g in 1/3*g - 1/3*g**3 + 0 + t*g**2 = 0?
-1, 0, 1
Let u(y) = -y - 2. Let t be u(-2). Let d = 0 - t. Determine l so that 2*l**3 + 2*l**5 + d*l**4 - 7*l**5 + 7*l**4 - 4*l**4 = 0.
-2/5, 0, 1
Suppose 47 - 76 + 100*p + 45*p**2 + 49 = 0. What is p?
-2, -2/9
Let a(j) be the first derivative of 13*j**4/4 + 19*j**3/3 - j**2/2 + 1. Let g(n) = 7*n**3 + 10*n**2 - n. Let q(l) = -4*a(l) + 7*g(l). What is v in q(v) = 0?
-1, 0
Let n be (-52)/(-12) - 2/6. Factor n*j**2 - 4 - 2*j**4 + 4 - 4*j**3 + 3*j**4.
j**2*(j - 2)**2
Factor z**3 + 12*z**2 + 0*z**3 - 11*z**2 + 0*z**3 - 1 - z.
(z - 1)*(z + 1)**2
Factor 56/3*d**3 + 2744/3*d - 196*d**2 - 2/3*d**4 - 4802/3.
-2*(d - 7)**4/3
Let d(s) = 52*s**2 + 1840*s + 16816. Let o(q) = -8*q**2 - 283*q - 2587. Let b(p) = -5*d(p) - 32*o(p). Factor b(h).
-4*(h + 18)**2
Let m(r) be the third derivative of r**8/112 + 3*r**7/70 + 30*r**2. Factor m(l).
3*l**4*(l + 3)
Let s(t) be the second derivative of 4*t**6/15 + 7*t**5/10 + t**4/3 - t**3/3 + 26*t. Factor s(h).
2*h*(h + 1)**2*(4*h - 1)
Let m(t) = 5*t**2 - 1. Let d be m(-1). Let d*x**4 + 2*x**2 - x**3 - 2*x**4 - 3*x**4 + 2*x**3 = 0. Calculate x.
-1, 0, 2
Let x(a) be the first derivative of 0*a**4 + 0*a**3 + 0*a - 3 + a**2 - 1/30*a**5 + 1/60*a**6. Let d(s) be the second derivative of x(s). Solve d(t) = 0.
0, 1
Let i = -21 - -15. Let g(c) = 4 + c**2 + c - 6 + 2. Let z(j) = -2*j**3 + 8*j**2 + 6*j. Let p(t) = i*g(t) + z(t). Factor p(h).
-2*h**2*(h - 1)
Let f be (1/(-2))/(4/(-48)). Factor 7*x + x + f + 18*x**2 + 5*x + 8*x.
3*(2*x + 1)*(3*x + 2)
Find j, given that 1/5*j**2 + 7/10*j**3 + 2/5*j**4 - 1/10*j + 0 = 0.
-1, 0, 1/4
Suppose -k + 4*t = -29, -k - 3*k + 116 = 5*t. Determine o, given that -25*o**2 - 2*o + k*o**2 + 8 - 10*o = 0.
1, 2
Factor 4/5*g + 0 + 8/5*g**3 + 2*g**2 + 2/5*g**4.
2*g*(g + 1)**2*(g + 2)/5
Let y be (20/15)/(4/(-6)) + 4. Let s(q) be the first derivative of 2 + 1/12*q**4 + 0*q**y + 0*q + 1/9*q**3. Factor s(a).
a**2*(a + 1)/3
Suppose 7*g = 4*g + 4*t - 20, -3*g = 2*t - 10. Let x be -4*3/(-24) + g. Factor -x + 3/4*o - 1/4*o**2.
-(o - 2)*(o - 1)/4
Let -12/5 - 48/5*y + 27/5*y**2 = 0. Calculate y.
-2/9, 2
Let s(c) be the first derivative of 3*c**4/20 + 9*c**3/5 + 81*c**2/10 + 81*c/5 + 5. Factor s(x).
3*(x + 3)**3/5
Let s(m) = 1. Let d(k) = 20*k**2 - 25*k + 1. Let p(i) = d(i) + 4*s(i). Factor p(x).
5*(x - 1)*(4*x - 1)
Let g(y) be the first derivative of -y**3/12 - 5*y**2/8 + 3*y/2 + 41. Factor g(l).
-(l - 1)*(l + 6)/4
Suppose -4 - f**2 - 3 - 2*f**3 - 6*f + 25 - 9*f**2 = 0. What is f?
-3, 1
Let f(w) = -w**5 + w**4 + w**3 + w. Let l(i) = -i**5 + 20*i**4 + 4*i**3 - 14*i**2 + 5*i + 2. Let o(q) = 24*f(q) - 3*l(q). Solve o(x) = 0.
-1, 2/7, 1
Suppose 0 + 0*j - 3/5*j**2 - 3/5*j**3 = 0. Calculate j.
-1, 0
Let x(m) be the first derivative of -m**6/240 + m**5/360 - 4*m**3/3 - 4. Let r(t) be the third derivative of x(t). Factor r(h).
-h*(9*h - 2)/6
Factor 8/3 + 0*z - 2*z**2 + 2/3*z**3.
2*(z - 2)**2*(z + 1)/3
Let x(t) be the third derivative of t**5/30 - t**4/12 + t**2. Factor x(s).
2*s*(s - 1)
Solve -96*o**2 - 12*o**5 - 42*o - 8 - 115*o**3 + 11*o**3 - 56*o**4 - 2*o = 0 for o.
-1, -2/3
Factor -28*t**2 - 19*t**4 - 14*t**4 - 24*t + 37*t**4.
4*t*(t - 3)*(t + 1)*(t + 2)
Let n(c) be the third derivative of -c**9/120960 + c**8/40320 + c**7/5040 + c**5/60 - c**2. Let p(m) be the third derivative of n(m). Factor p(h).
-h*(h - 2)*(h + 1)/2
Factor -1/7 - 2/7*l - 1/7*l**2.
-(l + 1)**2/7
Find s such that 1/9*s**3 - 1/9*s - 1/9 + 1/9*s**2 = 0.
-1, 1
Suppose -8*f + 0*f = 0. Let u(i) be the first derivative of 0*i - 1/6*i**6 + 2/5*i**5 - 1/4*i**4 - 3 + f*i**3 + 0*i**2. Suppose u(c) = 0. Calculate c.
0, 1
Let k(a) be the third derivative of a**6/120 - a**5/15 + 5*a**4/24 - a**3/3 - 7*a**2. Factor k(b).
(b - 2)*(b - 1)**2
Let d be ((-4)/(-24))/(470/4467). Let a = d + 3/188. What is m in 2/5*m**2 - 8/5*m + a = 0?
2
Suppose 5*p - 16 = 2*x, -2*x - 3*x = 15. Factor i + 5*i**p - 2*i**3 - 3*i**2 - i + 4*i.
-2*i*(i - 2)*(i + 1)
Let n(u) = -8*u**2 + 8*u - 8. Let i(z) = z**2 + z. Let j(q) = 4*i(q) + n(q). Determine d, given that j(d) = 0.
1, 2
Let s(j) be the first derivative of -j**6/2160 - j**5/720 + j**4/72 - j**3/3 + 2. Let y(l) be the third derivative of s(l). Factor y(w).
-(w - 1)*(w + 2)/6
Suppose n = -4*m + 4*n + 27, -n - 5 = 0. Let j(z) be the second derivative of 0 - 1/70*z**5 + 3*z + 1/42*z**4 + 0*z**2 + 0*z**m. Factor j(y).
-2*y**2*(y - 1)/7
Factor 2/9*h**2 + 2/3*h + 4/9.
2*(h + 1)*(h + 2)/9
Let w(p) be the second derivative of 0 + 1/35*p**5 - 2*p + 0*p**4 - 1/147*p**7 + 0*p**6 - 1/21*p**3 + 0*p**2. Factor w(q).
-2*q*(q - 1)**2*(q + 1)**2/7
Let q(l) = l**3 - 7*l**2 + 8*l. Let i be q(6). Factor -16 + 2*h**3 + 7 - i*h**2 + 24*h - 7.
2*(h - 2)**3
Factor -58*s**3 + 24*s**2 + 22*s**3 - 115*s + 111*s + 16*s**4.
4*s*(s - 1)**2*(4*s - 1)
Suppose 5*n + 270 = 15. Let o = n - -361/7. Factor -2/7*t**2 - 2/7 - o*t.
-2*(t + 1)**2/7
Let o(j) be the third derivative of 1/120*j**6 + 1/60*j**5 + 0*j**4 - 2*j**2 + 0*j**3 + 0 + 0*j. Find v such that o(v) = 0.
-1, 0
Let m(x) be the third derivative of -x**6/280 - 3*x**5/140 + 2*x**3/7 - x**2. Let m(s) = 0. Calculate s.
-2, 1
Let g be (-11 - -10)/((-2)/4). Let l(p) be the second derivative of -1/40*p**5 + 0 + 0*p**2 - g*p + 0*p**4 + 1/12*p**3. Solve l(j) = 0.
-1, 0, 1
Factor 2*r**2 - 12*r**2 - 2*r**2 + 0*r**3 - 3*r**3.
-3*r**2*(r + 4)
Let x(i) = i + 10. Let j(r) = r**2 + 8*r - 18. Let c be j(-9). Let d be x(c). Let d - 1/2*l**2 - 1/2*l = 0. Calculate l.
-2, 1
Let y be (-1)/2*(-1 - 3). Suppose -y*h = -6*h + 16. Solve -9*c**5 + 4*c**2 - 3*c**2 + c**3 - 6*c**4 - 3*c**h = 0.
-1, -1/3, 0, 1/3
Let n(t) be the third derivative of t**8/90720 - t**7/22680 - t**5/60 - 6*t**2. Let z(p) be the third derivative of n(p). Factor z(w).
2*w*(w - 1)/9
Determin