**3 + 1/48*b**o - b. Factor g(v).
(v + 1)*(v + 2)/4
Let t(x) be the second derivative of 7*x**4/12 + 244*x**3/3 - 70*x**2 + 2*x + 315. Find g, given that t(g) = 0.
-70, 2/7
Let j(t) be the second derivative of -t**6/10 - 3*t**5/10 + 3*t**4/4 + 2*t**3 - 6*t**2 - 2*t + 36. Find v, given that j(v) = 0.
-2, 1
Let d(j) = -j + 1. Let p be (-2)/4 - ((-22)/4 - -4). Let g(w) = -5*w**2 + 41*w + 44. Let y(t) = p*g(t) + d(t). Factor y(n).
-5*(n - 9)*(n + 1)
Let t = 2/7 - -1/21. Let j(n) = -n**3 + 2*n**2 + n + 8. Let g be j(3). Factor u - t*u**g - 2/3.
-(u - 2)*(u - 1)/3
Suppose l - 19 = -5*q, 25 = -4*l + 2*q - 9. Let k(j) = 9*j**2 + 9*j + 4. Let d(g) = 5*g**2 + 5*g + 2. Let s(p) = l*k(p) + 11*d(p). Determine b so that s(b) = 0.
-2, 1
Let l(a) be the second derivative of 0 + 5/48*a**4 - 1/16*a**5 + 28*a + 0*a**2 + 5/168*a**7 - 1/24*a**6 + 0*a**3. Factor l(g).
5*g**2*(g - 1)**2*(g + 1)/4
Let o be (-42)/(-360)*(1 + 1 + 6)*1. Suppose 32/15*b**4 - 8/15*b - 2/5*b**3 + 0 + o*b**5 - 32/15*b**2 = 0. What is b?
-2, -1, -2/7, 0, 1
What is d in 486*d - 100820 - 5*d**2 - 1282*d - 624*d = 0?
-142
Let r(x) be the third derivative of -x**8/840 + x**7/175 + x**6/300 - 7*x**5/150 + 4*x**3/15 + 11*x**2 + 11*x. Let r(h) = 0. What is h?
-1, 1, 2
Let f be 18/(-24) + 12/16 + -1 + 1. Suppose -1/4*l**4 - 1/4*l**3 + 1/4*l**5 + 0 + f*l + 1/4*l**2 = 0. Calculate l.
-1, 0, 1
Let x = 8706/5 - 1740. What is i in -2/5*i**3 + 0 - 4/5*i + x*i**2 = 0?
0, 1, 2
Suppose 0*x + 15 = 5*b + 5*x, -5*x - 1 = -3*b. Factor -47*v**4 + 27*v**4 + 16*v**4 + 5*v**5 - 20*v**b + 19*v**4.
5*v**2*(v - 1)*(v + 2)**2
Let s(d) be the second derivative of -d**9/4320 - d**8/840 - d**7/1260 - d**4/3 - 22*d. Let n(r) be the third derivative of s(r). Solve n(l) = 0 for l.
-2, -2/7, 0
Let s(p) = 2*p**2 + 160*p - 160. Let c(h) = 1. Let v(z) = -2*c(z) + s(z). Find l, given that v(l) = 0.
-81, 1
What is a in -54*a**3 + 4*a**3 - 195 - 6*a**4 - 505*a + 522*a**2 - 629*a + 735 = 0?
-15, 2/3, 3
What is c in c**2 - 5*c**3 + c**2 + 10*c**2 + 26*c**4 - 4*c**3 - 29*c**4 = 0?
-4, 0, 1
Let h be 5 - -1*(3 + -6). Let m be h + (-1)/((-3)/(-5)). Factor m*a**2 + 0 + 2/3*a.
a*(a + 2)/3
Suppose -2*u = x - 3 - 3, 0 = 4*u + 4*x - 8. Determine b so that -13*b + 2*b**3 - 10*b + 1 - 2*b**2 - b**5 + 22*b + b**u = 0.
-1, 1
Let p(q) be the third derivative of -q**7/42 - 9*q**6/8 - 193*q**5/12 - 195*q**4/8 + 845*q**3/3 - 85*q**2. Let p(k) = 0. What is k?
-13, -2, 1
Suppose 146 = 3*r + 4*n, 5*n = r - 6*r + 235. Let d be 78/r - 1/(-7). Factor -m**4 + d*m**4 + 0*m**4 + m**3 + 0*m**4.
m**3*(m + 1)
Factor -6*n**3 + 50*n**5 + 0*n**2 - 51*n**5 - 10*n**3 - 8*n**4 + 0*n**2.
-n**3*(n + 4)**2
Let s = -1357 - -162841/120. Let u(q) be the third derivative of 0*q**4 - 3*q**2 + 1/630*q**7 + 0*q**3 + 1/90*q**5 + 0*q - s*q**6 + 0. Factor u(m).
m**2*(m - 2)*(m - 1)/3
Let s = 50082/7 - 7154. Factor -2/7*r**3 + 0 - s*r**2 - 2/7*r.
-2*r*(r + 1)**2/7
Let y(k) = -9*k**4 + 12*k**3 - 2*k + 4. Let h(o) = -7*o**4 + 9*o**3 - o**2 - o + 4. Let x(b) = -5*h(b) + 4*y(b). Solve x(j) = 0 for j.
-1, 1, 4
Let p(r) be the first derivative of -r**6/6 + 7*r**5/25 + 163*r**4/20 + 229*r**3/15 + 11*r**2/5 - 56*r/5 - 451. Determine u so that p(u) = 0.
-4, -1, 2/5, 7
Let g = 48 + -28. Suppose t + 4*t = -g, -2*a - 6 = 4*t. Factor -48*m**3 - m**2 - 2*m**2 - 3*m**a + 39*m**3 - 9*m**4.
-3*m**2*(m + 1)**3
Let g be (1/(-35))/(8/(-20)) + 0. Let m(y) be the first derivative of -2/21*y**3 - 1/7*y**2 + g*y**4 + 2/7*y - 3. Solve m(s) = 0.
-1, 1
Suppose -7*f + 8 = x - 4*f, x = -f + 4. Factor -2*v + x*v - 2*v - 2*v - 4*v**2.
-4*v*(v + 1)
Let j be 3 + (-22)/6 + 40/30. Let k(i) be the first derivative of 1/2*i**4 - j*i**3 - 8 - 2*i**2 + 0*i. Determine z, given that k(z) = 0.
-1, 0, 2
Let d(q) = -11*q + 9*q + 6*q + 0 + 1. Let s be d(1). Factor -12*z**4 - s*z**5 - 28*z + 2*z**5 + 28*z - 12*z**3.
-3*z**3*(z + 2)**2
Let r(x) be the third derivative of -x**5/4 - 55*x**4/6 - 70*x**3/3 + x**2 + 99. Factor r(v).
-5*(v + 14)*(3*v + 2)
Let x(a) be the third derivative of -2*a**7/105 + 112*a**6/15 - 6272*a**5/5 + 351232*a**4/3 - 19668992*a**3/3 - 2*a**2. What is h in x(h) = 0?
56
Let y(n) be the first derivative of -n**7/126 + n**6/30 - n**5/30 - 8*n - 11. Let s(t) be the first derivative of y(t). Factor s(a).
-a**3*(a - 2)*(a - 1)/3
Suppose -2*b = 3*b - 20. Suppose -b*k + 10 = k. Find x such that -x**2 - 3*x**5 + 5*x**2 + 4*x**3 + x**5 - 4*x**4 - k*x**5 = 0.
-1, 0, 1
Let h(x) be the second derivative of x**6/195 - x**5/65 - x**4/6 - 10*x**3/39 + 15*x - 4. What is k in h(k) = 0?
-2, -1, 0, 5
Let g(d) = -d**3 - 13*d**2 - 3*d + 13. Let o(w) = 2*w. Let u(h) = g(h) + 2*o(h). Factor u(n).
-(n - 1)*(n + 1)*(n + 13)
Let k(c) be the first derivative of -4*c**3/15 + 2*c**2/5 + 24*c/5 + 74. Factor k(v).
-4*(v - 3)*(v + 2)/5
Determine u, given that 22 - 12*u**3 - 111/2*u + 181/4*u**2 + 1/4*u**4 = 0.
1, 2, 44
Let x be 2552/495 - 32/(-72). Factor 2*a**2 - x + 66/5*a.
2*(a + 7)*(5*a - 2)/5
Let h(v) be the third derivative of 1/84*v**4 + 1/42*v**3 + 0 - 9*v**2 + 0*v + 1/420*v**5. Find m such that h(m) = 0.
-1
Let j(b) = 5*b**4 - 2*b**3 - 6*b**2 + 5*b + 4. Let s(u) = -9*u**4 + 4*u**3 + 12*u**2 - 9*u - 8. Let c(n) = -5*j(n) - 3*s(n). Determine p so that c(p) = 0.
-1, 1, 2
Suppose w - 8*v = -11*v + 6, -2*w = -4*v - 2. Find c such that -105/2*c**4 - 147/4*c**5 + 0 + 0*c - 6*c**2 + 39*c**w = 0.
-2, 0, 2/7
Let u(v) be the third derivative of -1/80*v**5 - 1/8*v**4 + 0 - 2*v**2 - 3/8*v**3 + 0*v. Factor u(a).
-3*(a + 1)*(a + 3)/4
Determine d, given that 4*d**5 + 2*d**4 + 14*d**2 - 10*d**4 - 20*d**5 + 15*d**5 - 5*d**3 = 0.
-7, -2, 0, 1
Let c = -20 + 62/3. Let h = 77 - 71. Factor c*x**2 + 4*x + h.
2*(x + 3)**2/3
Let u(p) be the second derivative of -1/24*p**4 + 1/120*p**6 + 0*p**5 + 1/8*p**2 + 20*p + 0 + 0*p**3. Factor u(i).
(i - 1)**2*(i + 1)**2/4
Let g(p) = -p**3 - 6*p**2 - 4*p + 4. Let q(r) = r - 1. Let b(o) = -g(o) - 4*q(o). Let b(k) = 0. What is k?
-6, 0
Let d(x) = 3*x + 2*x**2 - 5*x + x - 3*x. Let n be 56/9 - (-16)/(-72). Let k(f) = -4*f**2 + 8*f + 1. Let a(o) = n*k(o) + 11*d(o). Find r, given that a(r) = 0.
-1, 3
Let t(l) be the first derivative of 19 - l**2 + 0*l - 1/6*l**6 + 3/4*l**4 - 1/5*l**5 + 1/3*l**3. Factor t(z).
-z*(z - 1)**2*(z + 1)*(z + 2)
Let y = 17 - 14. Factor 25*p**2 - 5*p**4 - 15*p + 15*p**y - 53 - 50 + 83.
-5*(p - 4)*(p - 1)*(p + 1)**2
Let j(w) = w + 1. Let t(p) = -p**3 + p**2 - 4*p - 6. Let h(a) = -a**3 - 12*a**2 - 11*a - 1. Let n be h(-11). Let l(f) = n*t(f) - 5*j(f). Factor l(y).
(y - 1)**2*(y + 1)
Let s(w) be the first derivative of -w**3/18 - w**2/12 + w/3 + 39. Factor s(c).
-(c - 1)*(c + 2)/6
Suppose 3*r - 4 = -2*s - 2*r, -5*s - 4*r + 10 = 0. Factor a**4 - 21*a**2 + 16*a**s - 4*a**3 + 0*a**4.
a**2*(a - 5)*(a + 1)
Let c = -71 - -87. Factor 16*i**3 - c*i**3 - 3*i**4 + 3*i**2.
-3*i**2*(i - 1)*(i + 1)
Let m(r) be the first derivative of -2*r - 9/2*r**2 - 4/3*r**3 + 15. Factor m(z).
-(z + 2)*(4*z + 1)
Find t, given that 10 + 20 - 3 - 7 + 16 - 3*t**2 - 12*t = 0.
-6, 2
Let h(z) = z**3 + 19*z**2 - 2*z - 34. Let m be h(-19). Solve 4*y**3 + 2/5*y**m + 32/5 + 16*y + 66/5*y**2 = 0 for y.
-4, -1
Let w be (-8)/3*(-6)/4. Suppose 4*s - 5*y - 4 = -0, -5*s - y = -5. Find f such that -3*f - 3*f - 3*f - w*f**2 - 3 + s = 0.
-2, -1/4
Let y be -1 - -7 - 19 - -15. Factor -4/5*c**y + 2/5*c**3 + 4/5 - 2/5*c.
2*(c - 2)*(c - 1)*(c + 1)/5
Let d(h) = -h**2 + 165*h + 162. Let n(p) = 2*p**2. Let v(x) = -d(x) - 2*n(x). Find y such that v(y) = 0.
-54, -1
Factor 0 + 2/13*p**3 + 74/13*p**2 + 140/13*p.
2*p*(p + 2)*(p + 35)/13
What is z in 0 + 1/3*z**3 - 10/3*z - 3*z**2 = 0?
-1, 0, 10
Let j = -40 - -43. Factor 0*t - 10*t**4 - 5*t**j + 0*t - 5*t**4.
-5*t**3*(3*t + 1)
Let n(l) be the second derivative of l**7/420 - l**6/180 - l**5/12 - l**4/4 - 2*l**3 + 10*l. Let u(g) be the second derivative of n(g). Factor u(d).
2*(d - 3)*(d + 1)**2
Factor -1/6*w**5 + 22*w + 28/3 + 31/6*w**3 + 53/3*w**2 + 0*w**4.
-(w - 7)*(w + 1)*(w + 2)**3/6
Factor -210 - 41*c + 3*c**2 - 14*c + 13*c + 210.
3*c*(c - 14)
Suppose -3*f - 2*t = -31 - 83, -3*f + t = -105. Factor -25*w**3 + 90*w**2 - f - 4 - 5 + 5 - 60*w.
-5*(w - 2)**2*(5*w + 2)
Let r(q) = q**2 + 28*q + 79. Let p be r(-3). Suppose -p*a**3 + 4*a - 4/7*a**2 - 8/7 + 12/7*a**4 = 0. Calculate a.
-1, 1/3, 1, 2
Let v(g) be 