*d**2 - 87044*d - 476656 = 0.
-62, 1
Let o(f) = -f**5 - f**4 + f**3 + 5. Let q(k) = 6*k**5 + 62*k**4 + 106*k**3 + 52*k**2 - 10. Let v(m) = -2*o(m) - q(m). Let v(u) = 0. Calculate u.
-13, -1, 0
Factor -154*t**2 + 12*t + 155*t**2 + 7*t - 14 - 6*t.
(t - 1)*(t + 14)
Factor -5/3*k**4 - 20/3 - 25*k**2 - 65/3*k - 35/3*k**3.
-5*(k + 1)**3*(k + 4)/3
Suppose -5*p + 3*f = 4 - 0, 0 = -2*f + 16. Suppose -2/3*a**2 + 4*a - 4/3*a**3 + 3 + 1/3*a**p = 0. What is a?
-1, 3
Let o(k) be the first derivative of -2/3*k**3 - 50*k + 10 + 10*k**2. Suppose o(z) = 0. Calculate z.
5
Let u(w) = w**3 + 5*w**2 + 5*w + 4. Let q be (660/18)/(-10) + (-2)/6. Let z be u(q). What is k in -2/3*k - 2/3*k**4 + 2/3*k**3 + 2/3*k**2 + z = 0?
-1, 0, 1
Let i(s) = s**3 + 3*s**2 - 8*s + 3. Let t be i(5). Let l = 163 - t. Factor -2/9*j**3 + l + 0*j + 4/9*j**2.
-2*j**2*(j - 2)/9
Suppose 11 + 20 + 12*n - 16 + 0*n - 3*n**2 = 0. What is n?
-1, 5
Find s, given that -20*s**3 + 14*s**2 - 15*s**2 + 0*s**4 - s**4 + 35*s**2 + 3*s**4 - 16*s = 0.
0, 1, 8
Let a = 1448 + -10134/7. Factor -a*o**4 + 2/7*o**3 + 0*o + 0*o**2 + 0.
-2*o**3*(o - 1)/7
Factor 100/7*s - 16/7*s**3 - 2/7*s**4 + 0 - 10/7*s**2.
-2*s*(s - 2)*(s + 5)**2/7
Let t(c) = -19 + 26 - 30 + 5*c + 8*c. Let o be t(2). Determine k so that -2*k**2 + 0 + 3*k**o + 1/3*k - 4/3*k**4 = 0.
0, 1/4, 1
Let b(c) = 4*c**2 - 1. Let w be b(1). Let m = -1031/9 + 115. Determine h so that 2/9*h**2 - 2/9*h**w + m*h + 0 = 0.
-1, 0, 2
Let k(a) be the first derivative of -a**4/3 - 32*a**3/9 - 10*a**2/3 + 56*a/3 + 17. Solve k(t) = 0.
-7, -2, 1
Let h = 19/3 + -529/84. Let s = 59/84 - h. Suppose s + 3*c + 4/3*c**3 + 4*c**2 = 0. What is c?
-2, -1/2
Let t = -111 - -2221/20. Let c(d) be the third derivative of d**2 + 0*d + 0*d**6 + 0 + 0*d**4 + 0*d**3 + 1/70*d**7 - t*d**5. Factor c(f).
3*f**2*(f - 1)*(f + 1)
Suppose -2*c + 13 = -5*n, -8*n = -4*c - 3*n + 21. Suppose 0 = -r + 16 - c. Factor -9*j**2 + 36*j - r + 0*j**2 - 18*j**2.
-3*(3*j - 2)**2
Let c(q) be the third derivative of 1/12*q**5 + 0*q + 0*q**6 + 0*q**4 + 5*q**2 + 0*q**3 - 1/42*q**7 + 0. Find t, given that c(t) = 0.
-1, 0, 1
Factor -2/5*r**2 - 28/5 - 18/5*r.
-2*(r + 2)*(r + 7)/5
Let x(r) = -3*r**4 + 9*r**3 + 24*r**2 - 18*r. Let q(o) = 3*o**4 - 12*o**3 - 25*o**2 + 18*o. Let l(g) = 3*q(g) + 4*x(g). Find p such that l(p) = 0.
-3, 0, 1, 2
Suppose -s - 7 + 12 = 0. Factor 4*a**s - 3*a**5 + a**2 - 3*a**3 + 3*a - a - a**4.
a*(a - 2)*(a - 1)*(a + 1)**2
Let j(k) = 2*k**2 + 5*k + 4. Let d be -1 - (-5)/((-5)/(-3)). Let w(m) = m**2 + m + 1. Let a(i) = d*w(i) - 2*j(i). Factor a(r).
-2*(r + 1)*(r + 3)
Find p such that 1/2*p**4 - 2*p**2 - 3/4*p**3 + 1/4*p**5 + 0 - p = 0.
-2, -1, 0, 2
Let j(i) = 5*i**2 + 51*i - 32. Let h(y) = -3*y**2 - 33*y + 21. Let l(z) = 8*h(z) + 5*j(z). Factor l(k).
(k - 8)*(k - 1)
Let h(u) = 3*u**2 - 8*u - 7. Let y be h(-1). Factor 229 - 22*i**3 - 237 - 20*i**y - 46*i**3 - 84*i**2 - 44*i.
-4*(i + 1)**3*(5*i + 2)
Let a(k) be the first derivative of 3*k**5/2 - 85*k**4/16 + 20*k**3/3 - 25*k**2/8 - 790. Let a(l) = 0. Calculate l.
0, 5/6, 1
Let j(y) be the first derivative of y**4/4 + 14*y**3/3 + 25*y**2/2 + 12*y - 757. Factor j(x).
(x + 1)**2*(x + 12)
Suppose 0 = 5*x + 3*w + 6, -x + 231*w = 226*w - 38. Factor -2/17*k**4 + 0*k + 0 - 4/17*k**2 - 6/17*k**x.
-2*k**2*(k + 1)*(k + 2)/17
Suppose -21 + 56 = -5*q. Let o be 3/(-6)*q - 3. Factor 3/4*m**2 + 1/4*m**3 + o*m + 0.
m*(m + 1)*(m + 2)/4
Let b(m) be the first derivative of 28*m**6/15 + 6*m**5/5 - 11*m**4 - 8*m**3 - 8*m**2/5 - 29. Solve b(d) = 0.
-2, -2/7, -1/4, 0, 2
Let a(g) be the second derivative of g**5/4 - 15*g**4/4 - 35*g**3/2 - 55*g**2/2 + 13*g + 2. Factor a(l).
5*(l - 11)*(l + 1)**2
Let o(m) be the first derivative of -1/8*m**6 - 3/20*m**5 + 0*m + 27/16*m**4 - 6 + 3/2*m**2 - 11/4*m**3. What is w in o(w) = 0?
-4, 0, 1
Let u(l) = 27*l**4 + 2296*l**3 - 5219*l**2 + 3352*l - 537. Let c(y) = 7*y**4 + 574*y**3 - 1305*y**2 + 840*y - 134. Let j(h) = 9*c(h) - 2*u(h). Factor j(z).
(z - 1)**2*(z + 66)*(9*z - 2)
Let o(h) be the second derivative of h**4/60 + h**3/5 + 38*h. Determine u so that o(u) = 0.
-6, 0
Suppose 1694 = 4*k - 394. Let x = k + -3648/7. Factor 3/7*l + 0 + 0*l**3 - 6/7*l**2 - 3/7*l**5 + x*l**4.
-3*l*(l - 1)**3*(l + 1)/7
Let u(t) be the third derivative of t**7/7980 - t**6/3420 - 4*t**3/3 - 9*t**2. Let x(q) be the first derivative of u(q). Factor x(o).
2*o**2*(o - 1)/19
Let d = -80 - -24. Let a be (-10)/4*d/70. Determine y, given that 2*y**3 - y**3 - a*y**4 + y**2 + y**4 - y = 0.
-1, 0, 1
Let v(o) = o + 5. Let z be v(10). Let h = z + -11. Find x, given that h*x**3 + 5*x**2 - 3*x**2 - 2*x**3 = 0.
-1, 0
Let h be (-3)/2*(-55)/3300. Let s(f) be the third derivative of -1/2*f**3 + 1/20*f**5 + 0 + 1/8*f**4 - 7*f**2 + 0*f - h*f**6. Suppose s(l) = 0. Calculate l.
-1, 1
Let l(i) be the first derivative of 2*i**3/27 - i**2 + 16*i/9 + 56. Factor l(g).
2*(g - 8)*(g - 1)/9
Let d(o) = -3*o**2 + 3*o + 6. Let n(l) = 6*l**2 - 4*l - 10. Let v(q) = -5*d(q) - 3*n(q). Suppose v(i) = 0. What is i?
-1, 0
Let c(a) be the second derivative of 0 + 1/15*a**5 - 1/45*a**6 + 1/3*a**2 + 0*a**4 - 14*a - 2/9*a**3. Suppose c(s) = 0. What is s?
-1, 1
Let o(k) be the third derivative of -200/3*k**3 + 0 + 0*k - 1/15*k**5 + 10/3*k**4 + 18*k**2. Factor o(t).
-4*(t - 10)**2
Suppose 21 = a - 3*b, 0 = 5*a + 2*b - 4*b - 66. Suppose s + s = 4, -5*s + a = o. Factor -13 + 2*w**o - 12 + 23.
2*(w - 1)*(w + 1)
Factor 6/5*l - 27/5*l**3 + 0 - 39/5*l**4 + 3/5*l**2 - 3*l**5.
-3*l*(l + 1)**3*(5*l - 2)/5
Let z be 28/8*(-1 + (-88)/(-56)). Let s = 1/8 + 19/40. Let 0*g + 3/5*g**4 + 0 - s*g**3 + 0*g**z = 0. Calculate g.
0, 1
Let l be (-6)/(-4) + -2 - (-8510)/1480. Suppose -18*r**3 + l*r**2 - 33/4*r**4 + 18*r + 3 = 0. What is r?
-2, -1, -2/11, 1
Let s(j) = -4*j + 7. Let w be s(-3). Suppose 60*c**4 + 40*c**2 - 10 + 80*c**3 - 3*c**5 + w*c**5 + 6 = 0. Calculate c.
-1, 1/4
Suppose 0 = -3*n - 4*k - 6, -2*n + 19 = -4*k - k. Solve -7*t**2 - 5 + 19*t**n + 112*t + 8*t**2 - 43 = 0 for t.
-6, 2/5
Let g(l) be the first derivative of -l**6/9 + 2*l**5/3 + 19*l**4/3 - 4*l**3/3 - 39*l**2 + 54*l - 205. Let g(o) = 0. Calculate o.
-3, 1, 9
Factor 13*n**2 + 30*n**2 - 35*n**3 + 5*n**4 - 29*n**2 + 16*n**2.
5*n**2*(n - 6)*(n - 1)
Let n(s) be the second derivative of -s**7/42 + s**6/3 - 8*s**5/5 + 19*s**4/6 - 5*s**3/2 - 117*s. Suppose n(k) = 0. What is k?
0, 1, 3, 5
Let c(p) be the second derivative of -p**7/210 + p**6/50 + 3*p**5/50 - 2*p**4/15 - 35*p + 3. Solve c(m) = 0 for m.
-2, 0, 1, 4
Let w(d) be the third derivative of -38*d**2 + 1/105*d**7 + 0*d**5 + 0*d**3 + 0*d - 1/60*d**6 + 0 + 0*d**4. Suppose w(f) = 0. What is f?
0, 1
Suppose 4*i - l + 88 = -i, 0 = 4*l - 12. Let g = i + 18. Factor -7 - 3*y**2 - 3*y - 6 - 12*y + g.
-3*(y + 1)*(y + 4)
Suppose -5*f = m + 101 - 109, 12 = 5*m - 3*f. Solve 4/3*k**m - 1/6*k**4 + 0 - 2/3*k**2 - 1/2*k**5 + 0*k = 0 for k.
-2, 0, 2/3, 1
Let a(q) be the third derivative of q**9/30240 - q**7/2520 - 13*q**5/60 - 25*q**2. Let u(c) be the third derivative of a(c). Factor u(j).
2*j*(j - 1)*(j + 1)
Let f(q) = -6*q + 32. Let t be f(5). Suppose 98*s**t + 70 - 52*s - 183*s - 133*s**2 = 0. What is s?
-7, 2/7
Let o = 29 + -26. Let -2*r**4 + 5*r**2 + r**o - r**5 - 4*r**2 + r**4 + 0*r**3 = 0. Calculate r.
-1, 0, 1
Let x = -29 - -61/2. Let l be -2 - (6 + 2)/(-2). Factor x*r - 1 - 1/2*r**l.
-(r - 2)*(r - 1)/2
Let x(a) be the second derivative of -a**5/32 + a**4/48 + 5*a**3/48 - a**2/8 + 7*a. Factor x(o).
-(o - 1)*(o + 1)*(5*o - 2)/8
Suppose 20358*h - 10092 - 3/4*h**4 + 351/2*h**3 - 41763/4*h**2 = 0. What is h?
1, 116
Factor -8 + 9*b**2 + b**2 + 5*b**3 - 8*b**2 - 3*b**3 - 8*b.
2*(b - 2)*(b + 1)*(b + 2)
Determine w so that -2/13*w**4 - 11250/13 - 22800/13*w - 11852/13*w**2 - 304/13*w**3 = 0.
-75, -1
Let b = 56 + -56. Suppose b - 12 = -4*c. Factor 2*o + 2/3*o**c + 2/3 + 2*o**2.
2*(o + 1)**3/3
Let u(a) be the first derivative of -28 + 1/2*a**4 + 0*a - 2/15*a**5 + 0*a**2 + 8/9*a**3. Find y, given that u(y) = 0.
-1, 0, 4
Let d(g) be the third derivative of g**8/2520 + g**7/315 + g**6/900 - 13*g**5/450 - g**4/90 + 8*g**3/45 - 51*g**2. Determine r, given that d(r) = 0.
-4, -2, -1, 1
Let h(p) = -p**4 - p**2 - 2*p + 1. Let i(g) = 5*g**4 + 3*g**2 + 8*g - 4. Let r(a) = -4*h(a) - i(a). Factor r(v).
-v**2*(v - 1)*(v + 1)
Let y be (-