2*l*(3*l + 2)
Let s be 1 + -6 + (6 - -5). Let o be (s/4)/(2 - (-7 + 0)). Determine k so that -2/3 + o*k**3 - 1/2*k**4 + 7/6*k**2 - 1/6*k**5 + 0*k = 0.
-2, -1, 1
Suppose -1 + 5 = b - 5*d, 5*d - 4 = -b. Solve -7*h**b - 3*h**2 + 3*h**5 - 3*h**4 + 13*h**2 - 5*h + 2*h**5 = 0.
-1, 0, 1
Let h(l) = l**2 - 3*l - 1. Let f = -4 + 7. Let a(t) = -f + 8*t - 3*t**2 - 3*t + t**2 + 5. Let k(d) = -3*a(d) - 5*h(d). Factor k(v).
(v - 1)*(v + 1)
Let c(z) be the first derivative of -z**3/4 + 93*z**2/8 - 87*z/2 - 45. Factor c(q).
-3*(q - 29)*(q - 2)/4
Let x(g) = 6*g**3 - g. Let v(o) = 2*o + 11. Let c be v(-5). Let a be x(c). Factor 4*p + 4*p - 6*p**2 + 7*p - 14*p**2 + a*p**3.
5*p*(p - 3)*(p - 1)
What is p in 22*p**3 + 105*p**3 - 605*p**4 - 180*p**2 + 533*p**3 = 0?
0, 6/11
Let y be (-256)/32*(-1)/4. Factor 25/4 + 1/4*u**y + 5/2*u.
(u + 5)**2/4
Factor -5*r**2 + 2*r**4 - 5*r**2 + 14*r + 25*r**2 - 12 - 5*r**2 - 14*r**3.
2*(r - 6)*(r - 1)**2*(r + 1)
Let c(g) = -402*g**3 - 1792*g**2 - 2674*g - 1296. Let x(m) = 200*m**3 + 896*m**2 + 1336*m + 648. Let w(h) = 2*c(h) + 5*x(h). Factor w(q).
4*(q + 2)*(7*q + 9)**2
Let p(h) be the third derivative of h**7/105 + 3*h**6/10 + 18*h**5/5 + 18*h**4 + 85*h**2. Factor p(y).
2*y*(y + 6)**3
Suppose -187*v + 343*v - 170*v = -56. What is y in -1/4*y**5 - 1/4*y**v + 1/2*y**2 + 1/2*y**3 - 1/4 - 1/4*y = 0?
-1, 1
Let p = -7037 + 49265/7. Factor -1/7*g**2 + 5/7*g - p.
-(g - 3)*(g - 2)/7
Let m = 26883/8 + -3360. What is i in 0 + 0*i**2 - 3/4*i**4 - m*i**3 + 0*i - 3/8*i**5 = 0?
-1, 0
Let v be 50/(-5) + (-154)/(-11). Suppose -4*l + 1 + 11 = 0. Find k, given that 1/3*k**v + 0*k - 2/3*k**l + 1/3*k**2 + 0 = 0.
0, 1
Let d(k) be the third derivative of k**6/270 + k**5/360 - 5*k**4/72 - 11*k**3/6 - 14*k**2. Let j(s) be the first derivative of d(s). Factor j(y).
(y - 1)*(4*y + 5)/3
Let c = 54 - 51. Let y(t) be the second derivative of 5/6*t**c + 1/20*t**5 - 3*t + 0 + t**2 + 1/3*t**4. Factor y(x).
(x + 1)**2*(x + 2)
Factor 1 + 31/4*c**3 + 95/4*c**2 + 17*c.
(c + 1)*(c + 2)*(31*c + 2)/4
Let s be 14 + (-5)/(420/1152). Factor s*p**2 + 4/7*p + 2/7.
2*(p + 1)**2/7
Let v(c) = 201*c**2 - 52*c + 1. Let t(i) = 51*i**2 - 13*i. Let z(x) = 9*t(x) - 2*v(x). Factor z(o).
(3*o - 1)*(19*o + 2)
Let u(b) be the second derivative of b**10/7560 + b**9/945 - b**8/1680 - 2*b**7/315 + 5*b**4/6 + 48*b. Let h(q) be the third derivative of u(q). Factor h(t).
4*t**2*(t - 1)*(t + 1)*(t + 4)
Factor -2*g**3 + 15*g**4 + 2*g**5 + 4*g + 6*g**4 - 23*g**4 - 4*g**3 + 2*g**2.
2*g*(g - 2)*(g - 1)*(g + 1)**2
Let v(a) be the first derivative of -7/135*a**5 - 1/27*a**4 - 4 + 5/3*a**3 + 0*a + 0*a**2 - 49/1620*a**6. Let n(s) be the third derivative of v(s). Factor n(p).
-2*(7*p + 2)**2/9
Let x(w) be the third derivative of -7/20*w**4 + 49/10*w**3 + 24*w**2 + 0 + 1/100*w**5 + 0*w. Determine l so that x(l) = 0.
7
Let p(r) be the third derivative of r**7/2100 - r**6/120 + 11*r**5/200 - r**4/6 + 4*r**3/15 + 320*r**2. Determine y, given that p(y) = 0.
1, 4
Let c(i) = 2*i**3 + 10*i**2 - 4*i - 18. Let o(y) = y**3 + y**2 + 2*y + 1. Let k = -98 + 96. Let x(b) = k*o(b) - c(b). Factor x(u).
-4*(u - 1)*(u + 2)**2
Let m(g) be the second derivative of -g**5/40 - 13*g**4/24 - 17*g**3/4 - 63*g**2/4 - 138*g. Suppose m(p) = 0. Calculate p.
-7, -3
Let n(d) be the first derivative of d**3/7 + 12*d**2 + 336*d - 46. Solve n(k) = 0.
-28
Suppose 0 = -175*y + 186*y. Let c(s) be the second derivative of -1/9*s**3 + 9*s + 1/36*s**4 + y + 1/6*s**2. Let c(o) = 0. What is o?
1
Let v(x) = 7*x**3 - 13*x**2 - 9*x - 5. Let c be 136/14 + 28/98. Let f(i) = 4*i**3 - 6*i**2 - 4*i - 2. Let n(k) = c*f(k) - 4*v(k). Find q, given that n(q) = 0.
-1/3, 0, 1
Determine s so that 36 + 2*s**3 - 10*s**2 - s**4 - 30 - 17*s - 5*s**3 + 25*s**2 = 0.
-6, 1
Let x(w) be the third derivative of -w**5/30 + 5*w**4/12 - 2*w**3 - 2*w**2 + 58*w. Factor x(y).
-2*(y - 3)*(y - 2)
Let u be 60/15 - (-1 - -7). Let r be -5 - -4 - (u - 4). Suppose 28*o**2 + 20*o**4 + r*o + 0*o - 8*o**2 + 30*o**3 + 5*o**5 = 0. Calculate o.
-1, 0
Suppose 8*g + 4*z = 4*g - 40, 3*g = -4*z - 34. Let s be ((-4)/18)/(3/g). Factor 2/3*n**4 - 2/9 - 2/9*n**5 + 2/3*n - 4/9*n**2 - s*n**3.
-2*(n - 1)**4*(n + 1)/9
Let f(u) be the first derivative of -u**5/480 - u**4/192 + 3*u**2 - 4. Let l(g) be the second derivative of f(g). Factor l(a).
-a*(a + 1)/8
Let m be ((-3)/4 - (3 + -4))*8. Factor 5*i**3 + i**3 - 16*i**2 + 8*i - m*i**4 + 2*i**3 + 2*i**3.
-2*i*(i - 2)**2*(i - 1)
Let u(i) be the third derivative of i**8/21 - 34*i**7/105 + 17*i**5/15 - 2*i**4/3 + 361*i**2 + 2*i. Solve u(c) = 0 for c.
-1, 0, 1/4, 1, 4
Suppose 7 = 4*g - 25. Suppose -g*w = -10*w + 2. Let i(b) = -12*b**4 - 23*b**3 + 6*b**2 - 2. Let l(a) = a**3 + 1. Let f(x) = w*i(x) + 2*l(x). Factor f(y).
-3*y**2*(y + 2)*(4*y - 1)
Let g(k) be the second derivative of 1/30*k**5 - 1/3*k**3 + 0 + 3*k**2 - 3*k + 0*k**4. Let x(r) be the first derivative of g(r). Factor x(y).
2*(y - 1)*(y + 1)
Let l(z) be the first derivative of 3*z**5/5 - 9*z**4/4 + 3*z**3 - 3*z**2/2 - 32. Factor l(x).
3*x*(x - 1)**3
Let k(i) be the second derivative of -5*i**4/36 + 25*i**3/9 + 20*i**2 - 277*i. Factor k(p).
-5*(p - 12)*(p + 2)/3
Let c be ((-81)/36)/1*7/(-21). Find l, given that -1/2*l**2 + 1/2 + 3/4*l - c*l**3 = 0.
-1, -2/3, 1
Let a be 9/(-6)*((-8)/6 - 0). Suppose 0 = 2*o - 5*o + a*c + 8, 0 = c - 5. Let 51/2*t**2 + 15/2*t**3 + o + 24*t = 0. What is t?
-2, -1, -2/5
Let x(d) be the second derivative of -d**7/2240 - d**6/960 - 5*d**3/6 + 6*d. Let k(v) be the second derivative of x(v). Factor k(t).
-3*t**2*(t + 1)/8
Let t(y) be the second derivative of -y**4/4 - 31*y**3/2 + 270*y**2 + 170*y. Factor t(q).
-3*(q - 5)*(q + 36)
Let u(g) = -4*g - 3 + 0 + 5*g + g**2. Let f be u(-3). Factor -2/5*t**4 + 2/5*t**2 + 0*t + 2/5*t**5 + 0 - 2/5*t**f.
2*t**2*(t - 1)**2*(t + 1)/5
Let g(j) be the second derivative of 7*j**6/120 + j**5/15 + j**4/42 - 7*j**2 - 17*j. Let m(u) be the first derivative of g(u). Find l, given that m(l) = 0.
-2/7, 0
Let d = -1533 - -1533. Let z(t) be the third derivative of d*t**3 - 1/6*t**4 + 0*t + 0 - 12*t**2 + 1/60*t**5. Find r such that z(r) = 0.
0, 4
Let y(g) be the first derivative of -g**3/3 - 15*g**2/2 - 36*g - 436. Factor y(r).
-(r + 3)*(r + 12)
Let l = -39671/4 - -9920. Let b be (3/(-4))/(1/(-2)). Let -l*r**2 + 3/4 - b*r = 0. Calculate r.
-1, 1/3
Let g be (-8)/(-10) - 3/(-48)*-12. Let h(x) be the second derivative of -1/12*x**4 - g*x**5 + 1/2*x**2 - x + 1/6*x**3 + 0. Factor h(f).
-(f - 1)*(f + 1)**2
Let f(k) be the second derivative of 8/21*k**3 + 1/42*k**4 + 16/7*k**2 + 8*k + 0. Determine i, given that f(i) = 0.
-4
Let f(c) be the second derivative of 1/5*c**5 + 48*c - 1/3*c**4 + 1/15*c**6 + c**2 + 0 - 1/21*c**7 - 1/3*c**3. Factor f(r).
-2*(r - 1)**3*(r + 1)**2
Suppose 0 = 5*l - 4*g - 36, -3*g = -2*g + 4. Find f, given that 0 + 0 - 2*f**l + 2*f**3 + 0 = 0.
0, 1
Let o(a) be the second derivative of a**6/2160 - a**5/240 + a**4/72 - 9*a**3/2 + 42*a. Let z(c) be the second derivative of o(c). Factor z(k).
(k - 2)*(k - 1)/6
Let w(v) = v + 11. Let p be w(-3). Factor 12*t**3 - 17*t**2 + p*t + 37*t**2 + 0*t**3.
4*t*(t + 1)*(3*t + 2)
Let l = -1339/30 + 134/3. Let z(c) be the third derivative of -1/18*c**4 + l*c**5 + 1/36*c**6 - 4*c**2 + 0*c + 0*c**3 + 0. Solve z(u) = 0.
-1, 0, 2/5
Suppose 11*p - 14*p + 6 = 0. Let l = -10 + 17. Solve -m - m + p*m**2 + l*m - 3*m = 0 for m.
-1, 0
Let q = -189449/150 - -1263. Let h(a) be the second derivative of -8*a + 1/60*a**4 - 1/30*a**3 + 1/100*a**5 - q*a**6 + 0*a**2 + 0. Solve h(t) = 0 for t.
-1, 0, 1
Let n = -3448 - -3450. Factor 12/7 + 2/7*b**n - 2*b.
2*(b - 6)*(b - 1)/7
Let l = 77 - 41. Let o be l/24*8/42. Factor 2/7*q**2 + 0 + 4/7*q**3 + 0*q + o*q**4.
2*q**2*(q + 1)**2/7
Let o(y) be the first derivative of -3*y**5/5 - 6*y**4 - 5*y**3 + 75*y**2 + 194. Determine z, given that o(z) = 0.
-5, 0, 2
Let k(u) = 2*u**5 - 7*u**4 + 14*u**3 + 46*u**2 - 23*u - 39. Let d(h) = h**5 - 4*h**4 + 7*h**3 + 23*h**2 - 11*h - 19. Let o(l) = 7*d(l) - 3*k(l). Factor o(q).
(q - 4)**2*(q - 1)*(q + 1)**2
Solve -16/5 + 0*t + 3/5*t**5 + 32/5*t**2 - 7/5*t**4 - 12/5*t**3 = 0.
-2, -2/3, 1, 2
Let z(y) = -y**3 - 10*y**2 + 2*y + 23. Let d be z(-10). Factor 0*x**3 + 5*x**3 - 5*x**3 + 3*x**3 + d*x**2.
3*x**2*(x + 1)
Let k be (-404)/27*(-7 + 13). Let v = k