
-12, -1/3, 0, 1
Let p(h) = -h. Let b(g) = 18*g**2 - 14*g**2 - 16 - 38*g - 24*g**2. Let i(c) = -b(c) - 10*p(c). Factor i(d).
4*(d + 2)*(5*d + 2)
Let m(b) be the second derivative of -b**4/24 - b**3/3 + 3*b**2 + 104*b. Factor m(p).
-(p - 2)*(p + 6)/2
Let z(v) = v**2 - v. Suppose 8 = -4*c + 4. Let p(j) = 4*j**2 - 3*j - 4. Let w(a) = c*p(a) + 3*z(a). Factor w(o).
-(o - 2)*(o + 2)
Let a(x) be the third derivative of -x**5/12 - 5*x**4/6 + 347*x**2. What is y in a(y) = 0?
-4, 0
Factor 2/21*t + 0 + 4/7*t**3 + 8/21*t**4 + 2/21*t**5 + 8/21*t**2.
2*t*(t + 1)**4/21
Let p(v) = 19*v**2 + 70*v. Let x(n) = 22*n**2 + 69*n. Let m(s) = -7*p(s) + 6*x(s). Factor m(b).
-b*(b + 76)
Let g(d) be the second derivative of d**6/60 - d**4/2 - 4*d**3/3 - 6*d + 46. Factor g(t).
t*(t - 4)*(t + 2)**2/2
Let u(l) be the first derivative of 2/75*l**5 - 1/15*l**4 - 2/15*l + 2/15*l**2 + 0*l**3 + 20. Let u(w) = 0. Calculate w.
-1, 1
Let n(g) = -4*g**4 - 24*g**3 - 66*g**2 - 48*g + 2. Let m(x) = -8*x**4 - 46*x**3 - 133*x**2 - 96*x + 5. Let i(l) = -2*m(l) + 5*n(l). Factor i(z).
-4*z*(z + 2)**2*(z + 3)
Let k(b) be the third derivative of b**8/448 + b**7/35 + 11*b**6/80 + 3*b**5/10 + 9*b**4/32 + 92*b**2. Solve k(o) = 0 for o.
-3, -1, 0
Let f(u) be the third derivative of u**8/21 + u**7/7 + u**6/10 - u**5/30 + 118*u**2. Find z such that f(z) = 0.
-1, 0, 1/8
Suppose -15 = 6*l - 23 - 4. Solve 8/3*w**l + 0 - 2*w - 2/3*w**3 = 0.
0, 1, 3
Let h(g) be the first derivative of g**4/4 + g**3 + 3*g**2/2 - 12*g - 9. Let u(b) be the first derivative of h(b). Let u(v) = 0. Calculate v.
-1
Let g(m) be the second derivative of 1/18*m**3 - 32*m - 1/12*m**4 + 0*m**2 - 1/15*m**5 + 0. Factor g(z).
-z*(z + 1)*(4*z - 1)/3
Let z(o) be the second derivative of -o**7/210 - 7*o**6/75 - 13*o**5/100 - 92*o. Find g such that z(g) = 0.
-13, -1, 0
Let x(h) be the third derivative of 0 + 1/300*h**5 - 19*h**2 + 1/30*h**4 + 0*h + 0*h**3. Suppose x(u) = 0. Calculate u.
-4, 0
Let h = 297 - 174. Suppose 3*x = -h + 132. Factor 10*d**2 + 8/9 + 50/9*d**x + 16/3*d.
2*(d + 1)*(5*d + 2)**2/9
Let x(b) = 2*b**2 - 5. Let k be x(2). Factor -1/3 - 1/3*z + 1/3*z**k + 1/3*z**2.
(z - 1)*(z + 1)**2/3
Let t = -1704 + 25568/15. Find j such that 0*j**4 - 2/15*j**5 - 4/15 - 2/5*j + t*j**3 + 4/15*j**2 = 0.
-1, 1, 2
Let k(b) be the first derivative of -b**6/180 + b**5/60 - 4*b**3 - 1. Let p(w) be the third derivative of k(w). Factor p(z).
-2*z*(z - 1)
Let i(z) be the second derivative of 4/3*z**3 + 5/3*z**4 + 14*z + 0*z**2 + 2/15*z**6 + 4/5*z**5 + 0. Factor i(y).
4*y*(y + 1)**2*(y + 2)
Let v be (30/(-9) - -2)/((-40)/80). Solve -12 + v*w**2 - 2/3*w**3 + 2*w = 0.
-2, 3
Let b = -1051/12 + 7199/60. Factor b + 2/5*z**2 - 36/5*z.
2*(z - 9)**2/5
Let s(h) be the first derivative of -4*h**3/21 + 4*h**2/7 - 4*h/7 + 680. What is i in s(i) = 0?
1
Let a be 1*(-2)/6 + (-753)/9. Let k = 87 + a. Factor 0*u - 2/7*u**4 - 2/7*u**k + 0*u**2 + 0.
-2*u**3*(u + 1)/7
Let o be ((-2)/(-42))/(32/56). Let x(k) be the first derivative of 19/20*k**5 - 15/16*k**4 - 3 - 7/24*k**6 + 1/4*k**2 + 0*k + o*k**3. Let x(c) = 0. Calculate c.
-2/7, 0, 1
Let s(a) be the third derivative of -a**6/30 + a**4/2 + 4*a**3/3 - 3*a**2 + 17. Find c such that s(c) = 0.
-1, 2
Let c(z) = -8*z**2 - 389*z + 149. Let m be c(-49). Factor 3/2*a + 0 - 3/4*a**m.
-3*a*(a - 2)/4
Let i(m) = -m**3 - 6*m**2 - m + 13. Let j be i(-6). Suppose f = -j + 19. Factor 0*b**2 + 0*b + f + b**4 + 1/3*b**3 + 2/3*b**5.
b**3*(b + 1)*(2*b + 1)/3
Let j(v) be the first derivative of v**3/3 + 11*v**2 + 121*v - 51. Find q such that j(q) = 0.
-11
Suppose -8*y = -28 - 12. Let n(j) = 6*j - 29. Let u be n(y). Factor -2*k - u - 1/4*k**3 - 5/4*k**2.
-(k + 1)*(k + 2)**2/4
Let h(s) = -9*s**4 - 27*s**3 - 6*s**2 + 18*s + 6. Let q(d) = 2*d**3 + 3*d - 4*d - 4*d**3 - 1 + d**2 + 3*d**3. Let f(n) = -h(n) - 6*q(n). Factor f(b).
3*b*(b + 1)*(b + 2)*(3*b - 2)
Suppose 2/5*m**2 - 362/5 + 72*m = 0. What is m?
-181, 1
Let w(j) be the third derivative of j**6/3240 - j**5/216 + j**3/2 + 11*j**2. Let l(v) be the first derivative of w(v). Find k, given that l(k) = 0.
0, 5
Factor -41 + 129*b - 288*b**2 + 146 + 61 - 132*b + 3*b**3 + 122.
3*(b - 96)*(b - 1)*(b + 1)
Let l(a) be the second derivative of 2/3*a**3 + 0 - 4*a**2 + 1/3*a**4 + 10*a. Factor l(q).
4*(q - 1)*(q + 2)
Let z(m) = m**2 - 43*m + 103. Let o be -20*24/(-45)*-3. Let i(t) = -12*t**2 + 472*t - 1132. Let d(a) = o*z(a) - 3*i(a). Factor d(j).
4*(j - 5)**2
What is v in 3 + 1/2*v - 1/2*v**2 = 0?
-2, 3
Let z = -4254/5 + 38296/45. Solve 0*n + z - 2/9*n**2 = 0 for n.
-1, 1
Let w = 6583 - 6583. Factor w - 2/7*k**2 + 10/7*k.
-2*k*(k - 5)/7
Suppose -5*x + 5*h = -155, 0 = -4*x - 4*h + 83 + 41. Suppose 0*j**3 + x*j**5 + 6*j**4 - 28*j**5 + 0*j**4 + 3*j**3 = 0. What is j?
-1, 0
Suppose -12 = -w - 2*w. Suppose k - w*n = 15, -4 + 1 = n. Solve 4*p**k + p**5 - 6 + 6 + 4*p**4 = 0 for p.
-2, 0
Let m be (7 + -15 - -3) + (-123)/(-24). Let h(s) be the first derivative of -1/4*s**3 + 5 + 1/20*s**5 - m*s**2 + 1/2*s + 1/16*s**4. Factor h(f).
(f - 1)**2*(f + 1)*(f + 2)/4
Let g = -33725 - -33729. Factor 3*q**2 - 3/4*q**g + 0 - 3*q + 3/4*q**3.
-3*q*(q - 2)*(q - 1)*(q + 2)/4
Let o be -5*(-12)/30 - -1. Suppose -2*h + 0*h = -4. Factor 1 + 2*f - h*f - f**3 - 3*f + o*f**2.
-(f - 1)**3
Factor -26*g - 1/2*g**2 - 338.
-(g + 26)**2/2
Let c = -17 + 51. Factor 2*u - u - 5*u**2 - 6 + 29*u - c.
-5*(u - 4)*(u - 2)
Let n = -6 + 3. Let m be 3 - (0 + 4 + n). Let 0*v**2 - 2*v + 3*v**2 - 9 - 4*v**m + 8*v = 0. What is v?
3
Let c(h) be the second derivative of -h**7/70 - h**6/10 - 21*h**5/100 - 3*h**4/20 - 2*h - 2. Suppose c(y) = 0. Calculate y.
-3, -1, 0
Let i = 12 + -12. Let c = 2 - i. Find y such that 2*y**5 - c*y**3 + 2*y**2 - 3 + 6 - 2*y**4 - 3 = 0.
-1, 0, 1
Let h(n) = n**2 + 35*n + 174. Let o be h(-6). What is f in -2/3*f**2 + 2/3*f**4 + o - 4/3*f + 4/3*f**3 = 0?
-2, -1, 0, 1
Factor 52*n**3 - 21*n**3 - 87*n - 19*n**3 - 12*n**2 + 91*n - 19*n**3.
-n*(n + 2)*(7*n - 2)
Let n(u) be the second derivative of u**6/195 + 88*u**5/65 + 1936*u**4/13 + 340736*u**3/39 + 3748096*u**2/13 - 281*u. Factor n(p).
2*(p + 44)**4/13
Let w(k) be the third derivative of 19/20*k**6 - 17*k**2 - 11/35*k**7 + 0*k + 0 - 8/5*k**5 + 13/8*k**4 + 5/112*k**8 - k**3. Determine i so that w(i) = 0.
2/5, 1
Let r(x) be the second derivative of x**4/6 + 8*x**3 + 23*x**2 - 2*x. Factor r(k).
2*(k + 1)*(k + 23)
Let w be (-6603)/(-13064) - (-6)/(-46). Factor -3/4 - w*u + 3/4*u**2 + 3/8*u**3.
3*(u - 1)*(u + 1)*(u + 2)/8
Suppose 34*j + 1 - 894*j**2 - 947*j**2 + 1877*j**2 - 3 = 0. Calculate j.
-1, 1/18
Factor -14/9*f - 4/3 - 2/9*f**2.
-2*(f + 1)*(f + 6)/9
Solve 375 - 69*r**3 - 172*r**2 - 10*r**4 - 75*r + 4*r**4 - 53*r**2 = 0.
-5, -5/2, 1
Suppose 0 = d + 2*o + 4, -2*d + 3*o - 23 = 4*o. Let n be (-3)/((-18)/(-6)) + d/(-12). Let -1/3*y + n*y**2 + 1/2*y**3 + 0 = 0. Calculate y.
-1, 0, 2/3
Let r(a) be the second derivative of -a**4/6 + 20*a**3/3 - 19*a**2 + 15*a. Factor r(m).
-2*(m - 19)*(m - 1)
Let z = -17 - -26. Let d = z - 5. Find l, given that -25*l**2 + 4*l - 4*l**5 + 4*l**5 - d + 12*l - 7*l**4 + 19*l**3 + l**5 = 0.
1, 2
Let s(t) be the second derivative of t**6/30 + t**5/10 - t**4/3 - 4*t**3/3 - 435*t + 1. Factor s(q).
q*(q - 2)*(q + 2)**2
Let t be 276/(-644)*2/(8/(-14)). Factor -j**3 - j**2 - 1/2*j**5 + t*j - 1/2 + 3/2*j**4.
-(j - 1)**4*(j + 1)/2
Let s(c) be the first derivative of c**6/15 - 8*c**5/25 - 11*c**4/10 - 4*c**3/5 - 217. Factor s(a).
2*a**2*(a - 6)*(a + 1)**2/5
Let v(h) be the first derivative of h**8/1344 - h**7/672 - h**6/288 + h**5/96 - 13*h**3/3 - 33. Let s(p) be the third derivative of v(p). Factor s(b).
5*b*(b - 1)**2*(b + 1)/4
Factor -12/23 + 2/23*m**2 + 2/23*m.
2*(m - 2)*(m + 3)/23
Find r such that 230*r**3 + 105*r + 100*r + 50 + 5*r**5 + 320*r**2 - 7*r**4 + 77*r**4 = 0.
-10, -1
Factor 180*s - 18*s**3 + 300 - 54*s**2 - 34*s**2 - 3*s**4 + 6*s**4 + 55*s**2.
3*(s - 5)**2*(s + 2)**2
Let c(z) be the first derivative of 3*z**5/5 + 3*z**4/2 - 4*z**3 - 3*z**2 + 9*z + 389. Factor c(q).
3*(q - 1)**2*(q + 1)*(q + 3)
Let d(i) = -i**3 + i**2 + i + 1. Let c be (2 - (-15)/(-10))/(1/2). Let h(l) = -2*l**3 + 22*l**2 + 52*l + 36. Let z(s) = c*h(s) - 4*d(s). Factor z(a).
2*(a + 1)*(a + 4)**2
Suppose -7*k + 6 = -6*k. Solve -k - 22 - 12*w + 3*w**2 + 12 + w**2 = 0 for w.
-1, 4
Let