2*b*(b - 3)*(b - 1)*(b + 1)
Let j**4 + 0*j**2 + 0 + 0*j - 1/4*j**5 - j**3 = 0. What is j?
0, 2
Let b = 4562/5 + -912. Let 0 - 4/5*d**2 - 2/5*d - b*d**3 = 0. Calculate d.
-1, 0
Let b(q) be the third derivative of -q**8/84 - 16*q**7/105 - q**6/5 + 8*q**5/3 - 25*q**4/6 + 150*q**2. Determine d so that b(d) = 0.
-5, 0, 1
Let k be (-3*20/(-15))/2. Let d be k + 3 - (-4)/8*-4. Solve 1/2 - 7/2*x**d + x**4 + 9/2*x**2 - 5/2*x = 0.
1/2, 1
Let i(a) be the second derivative of 5*a**7/84 + a**6/12 - a**5/8 - 5*a**4/24 - 54*a. Let i(m) = 0. Calculate m.
-1, 0, 1
Find u such that 7218 - 3*u**3 - 322*u**2 - 77*u**2 - 13065*u + 6249 = 0.
-67, 1
Suppose 0*p - 29/4*p**4 - 7/8*p**5 - 65/8*p**3 - 7/4*p**2 + 0 = 0. What is p?
-7, -1, -2/7, 0
Suppose -8*j + 4*j - 3*w + 28 = 0, w = 2*j - 4. Let x be (-5)/(-2) + 2/(-4). Factor j*m**x - m + 0 + 8 + 13*m.
4*(m + 1)*(m + 2)
Let n(u) be the second derivative of -u**4/3 + 16*u**3/3 + 40*u**2 + 2*u - 85. Factor n(t).
-4*(t - 10)*(t + 2)
Let z(g) be the first derivative of -g**5/90 - 2*g**4/3 - 16*g**3 + 19*g**2/2 + 33. Let h(b) be the second derivative of z(b). Factor h(i).
-2*(i + 12)**2/3
Let 12*k - 18/5*k**2 + 40 + 1/5*k**3 = 0. Calculate k.
-2, 10
Factor 1682/3*b + 3248/3*b**2 + 0 - 112/3*b**4 + 2/3*b**5 + 484*b**3.
2*b*(b - 29)**2*(b + 1)**2/3
Suppose -171/5*d**2 + 37*d**4 + 18*d - 12/5*d**5 - 64/5*d**3 + 0 = 0. What is d?
-1, 0, 2/3, 3/4, 15
Let j = -701 + 4923/7. Factor 32/7 + 2/7*z**2 - j*z.
2*(z - 4)**2/7
Let f(v) = v**3 + 4*v**2 + 2*v - 3. Suppose 14 = -5*r - g, -g = 5*r + 4*g + 10. Let c be f(r). Find s such that c + 0*s + 2/7*s**4 + 0*s**2 + 2/7*s**3 = 0.
-1, 0
Suppose -3*i - 5 = 2*y, -3*y - i + 30 = -4*i. Factor 5*p**3 + 5*p**2 - y + 5 + 0.
5*p**2*(p + 1)
Let f(w) be the first derivative of 4*w**2 + 10/3*w**3 + 23 + 0*w + 1/2*w**4. Suppose f(l) = 0. Calculate l.
-4, -1, 0
Let u(x) be the third derivative of x**7/2205 + x**6/210 + x**5/70 + x**4/63 - 2*x**2. Factor u(q).
2*q*(q + 1)**2*(q + 4)/21
Let x(f) = -f**3 - 54*f**2 - 41*f - 12. Let t(i) = 55*i**2 + 40*i + 15. Let n(c) = 4*t(c) + 5*x(c). Find m such that n(m) = 0.
-9, -1, 0
Let g = 16 + -9. Let p(s) = s**3 - 5*s**2 - 9*s - 6. Let b be p(g). Factor 40*l**2 + 7*l**5 + 2 + l**4 + 33*l**3 + 15*l + 17*l**3 + b*l**4 + 0.
(l + 1)**4*(7*l + 2)
Let q be ((-4)/(-24)*1)/((-2224)/14916). Let l = 1/139 - q. Factor -3/8*v**2 - 3/4*v + l.
-3*(v - 1)*(v + 3)/8
Let o(d) = -13*d**2 - 4*d + 1. Let v be o(-2). Let j = v - -259/6. Factor -1/6*x + 1/6*x**2 - j*x**4 + 0 + 1/6*x**3.
-x*(x - 1)**2*(x + 1)/6
Let i = 516/413 - 40/59. Let u(b) be the first derivative of -2/7*b**4 + 4/3*b**3 - 10 - 3/7*b**2 - i*b - 24/35*b**5 + 1/3*b**6. Let u(f) = 0. What is f?
-1, -2/7, 1
Let n(v) be the second derivative of v**7/27720 + v**6/3960 + v**5/1320 + 5*v**4/2 - 21*v. Let q(g) be the third derivative of n(g). Factor q(d).
(d + 1)**2/11
Let j(n) = n**2 - n. Let q(w) = 20*w**2 - 206*w - 4232. Let m(c) = 44*j(c) - 2*q(c). Find k, given that m(k) = 0.
-46
Let f(v) = 5*v**4 + 27*v**3 - 35*v**2 - 23*v + 34. Let i(a) = -20*a**4 - 109*a**3 + 140*a**2 + 91*a - 138. Let p(l) = 9*f(l) + 2*i(l). Factor p(q).
5*(q - 1)**2*(q + 1)*(q + 6)
Let v(r) be the first derivative of -3*r**5/35 + 3*r**4/4 + 9*r**3/7 - 3*r**2/2 - 24*r/7 + 98. Suppose v(p) = 0. What is p?
-1, 1, 8
Let d(c) be the first derivative of -c**7/504 + 7*c**6/216 - 16*c**3/3 + 29. Let s(k) be the third derivative of d(k). Let s(u) = 0. What is u?
0, 7
Let t = 12437/84 - 1775/12. Factor -t*r + 1/7*r**3 - 2/7 + 2/7*r**2.
(r - 1)*(r + 1)*(r + 2)/7
Let y be (4/(-48))/((-132)/(-297) - (-20)/(-18)). Factor -1/4*t**2 + 1/4*t**4 - 1/8*t + y*t**5 + 0 + 0*t**3.
t*(t - 1)*(t + 1)**3/8
Let l be ((-12)/(-2))/(0 + -3 + 2). Let m = l + 9. Find r, given that 7/3*r**4 + 9*r**2 + 2/3 - 23/3*r**m - 13/3*r = 0.
2/7, 1
Let f be -23 + 19 + 7*1. Let r(b) be the first derivative of 1 + 1/6*b**f + 1/8*b**4 + 0*b + 0*b**2. Solve r(g) = 0.
-1, 0
Let w(n) = 83*n - 782. Let c be w(10). Find o, given that -4/5*o**5 + 12*o**3 + 0*o**4 + 288/5 - 8*o**2 - c*o = 0.
-3, 2
Let t(q) be the third derivative of q**6/16 + q**5/12 - 25*q**4/48 - 5*q**2 + 3. Solve t(o) = 0.
-5/3, 0, 1
Let c(q) be the first derivative of -2*q**3/3 - 5*q**2 - 2*q + 1. Let d(a) = -60*a - 4*a**2 - 4 + 111*a - 72*a. Let n(r) = 13*c(r) - 6*d(r). Solve n(s) = 0.
-1
Let p be 1/10*8*75/270. Factor -2/9*h - 4/9 + p*h**2.
2*(h - 2)*(h + 1)/9
Determine a so that 23*a**2 - 14*a - 27*a - 27*a**2 - 24 + 61*a = 0.
2, 3
Let a(h) be the first derivative of 32 - 10*h**2 + 16*h + 4/3*h**3. Solve a(o) = 0 for o.
1, 4
Let h = -1789 - -1791. Let z(f) be the second derivative of -5/2*f**h - 5/24*f**4 + 5/4*f**3 - 3*f + 0. Factor z(a).
-5*(a - 2)*(a - 1)/2
Suppose 2*c - 14 = c. Let q = -53/4 + c. Factor -1/4*z**2 + q*z + 0.
-z*(z - 3)/4
Let f(q) be the second derivative of q**4 + 47*q**3/2 + 99*q**2/2 - 64*q. Factor f(y).
3*(y + 11)*(4*y + 3)
Let a(s) be the first derivative of 7*s**4/30 + 4*s**3/5 + s**2 + 8*s/15 - 250. Solve a(l) = 0 for l.
-1, -4/7
Let y(n) be the first derivative of 1/3*n**3 + 1/3*n**2 + 0*n**4 - 1/15*n**5 + 4 + 0*n. Solve y(p) = 0 for p.
-1, 0, 2
Let c(x) = -x**4 + 40*x**3 - 109*x**2 + 106*x - 36. Let m(r) = -40*r**3 + 110*r**2 - 105*r + 35. Let k(i) = -5*c(i) - 4*m(i). Factor k(u).
5*(u - 4)*(u - 2)*(u - 1)**2
Let s(q) be the third derivative of q**6/810 - 2*q**5/135 + 2*q**4/27 - 3*q**3/2 - 15*q**2 - 2*q. Let o(h) be the first derivative of s(h). Factor o(y).
4*(y - 2)**2/9
Let z(r) be the first derivative of -r**5/30 + r**4/4 - 2*r**3/3 + 19*r**2/2 + 5. Let g(y) be the second derivative of z(y). Determine v, given that g(v) = 0.
1, 2
Let y(q) = q**2 + 2*q - 35. Let j be y(9). Let t be (j/(-30) - -2)/((-3)/15). Factor t + 2/3*z**2 - 4/3*z.
2*(z - 1)**2/3
Suppose 0 + 0*d - 6/5*d**3 + 2/5*d**4 - 8/5*d**2 = 0. What is d?
-1, 0, 4
Let s be 28/12 - 6/(-9). Let p(o) = -5*o**2 - 45*o - 40. Let r(a) = 2*a**2 + 23*a + 20. Let k(m) = s*p(m) + 5*r(m). Let k(b) = 0. Calculate b.
-2
Let m = -4423 + 4426. Factor -2/13*v**m - 4/13*v**2 + 0 - 2/13*v.
-2*v*(v + 1)**2/13
Determine z so that 16*z**4 + 0*z + 0 + 2312/9*z**2 - 476/3*z**3 - 4/9*z**5 = 0.
0, 2, 17
Let l(x) be the third derivative of -x**6/720 + x**5/240 + 17*x**3/6 + 7*x**2. Let f(a) be the first derivative of l(a). Suppose f(h) = 0. Calculate h.
0, 1
Let k(d) be the third derivative of -d**4/24 - 7*d**3/6 + 8*d**2. Let y be k(-9). What is h in 3*h**3 - 3*h**3 - y*h**3 = 0?
0
Let m = 3541/6 - 590. Suppose -3*b = -6 - 0. Let 1/6*z**5 + m*z**4 - 1/6*z**b + 0 + 0*z - 1/6*z**3 = 0. Calculate z.
-1, 0, 1
Let d(z) = z**2 - z + 1. Suppose -2*v - 12 = 2*v. Let t(l) = -9*l**2 + 18*l - 33. Let a(y) = v*t(y) - 24*d(y). Factor a(g).
3*(g - 5)**2
Let h be (56/(-84))/(11/(-9) + 1). Factor 0 - 3/4*m**2 - h*m.
-3*m*(m + 4)/4
Let u(j) be the third derivative of -j**5/12 - 35*j**4/24 + 20*j**3/3 + 3*j**2. Let u(n) = 0. Calculate n.
-8, 1
Factor -30 - 39*f**2 - 60*f + 0*f**2 - 9*f**3 - 3*f**2 - 31*f + 28*f.
-3*(f + 1)*(f + 2)*(3*f + 5)
Let b = 31 + -19. Let c = b - 9. Let -1/2*g**5 - 1/2*g**4 + 0*g**2 + 0*g + 0 + 0*g**c = 0. Calculate g.
-1, 0
Let m(a) be the first derivative of 2*a**5/5 + 68*a**4 + 3172*a**3 + 9112*a**2 + 8978*a + 496. Determine y so that m(y) = 0.
-67, -1
Let x be (-3)/((-81)/306) - 6. Factor -16/3*a**3 + 0 + 0*a + 4/3*a**4 + x*a**2.
4*a**2*(a - 2)**2/3
Let q(m) be the first derivative of 20*m**4/3 - 85*m**3/9 - 155*m**2/6 + 10*m/3 - 248. What is d in q(d) = 0?
-1, 1/16, 2
Factor 5 - 204*q**3 - 5 + 101*q**3 - 60*q**2 + 108*q**3.
5*q**2*(q - 12)
Let y be 16/80 - ((-98)/10 - -2). Let i be y/(-112)*40 + 3*1. Factor i*t**2 + 1/7 - 2/7*t.
(t - 1)**2/7
Suppose 0*w - 50/9*w**2 - 2/9*w**4 + 0 + 20/9*w**3 = 0. Calculate w.
0, 5
Find g, given that 48/13*g + 2/13*g**4 + 44/13*g**2 + 18/13 + 16/13*g**3 = 0.
-3, -1
Let r(b) be the first derivative of -1/48*b**4 + 9 + b + 1/8*b**2 + 0*b**3. Let u(n) be the first derivative of r(n). Find d, given that u(d) = 0.
-1, 1
Let k be (-35)/(-7) - 7 - (-1 - 3). Let j be k + 1 + 145/(-55). Let 2/11*g + 4/11*g**2 - 2/11*g**3 - j = 0. Calculate g.
-1, 1, 2
Let u(t) = t + 10. Let h be u(-7). Suppose h*l + 2*l - 25 = 0. What is j in 36 - 8*j**2 + 4*j**4 + 8*j**3 + 3*j**3 + l*j**3 - 48*j = 0?
-3, 1
Let l(i) = -i + 16. Let w be l(