 b(f) = f**2 + 2*f - 11. Let w be b(-5). Suppose -a + w = -0*a. Factor -t**5 - 5*t**3 + 5*t**3 - 2*t**a + t + 2*t**2.
-t*(t - 1)*(t + 1)**3
Let x(k) be the third derivative of k**7/210 + 13*k**6/60 + 3*k**5 - 25*k**4/3 - 2000*k**3/3 + 34*k**2. Find d, given that x(d) = 0.
-10, 4
Let j(q) = 7*q**3 - 13*q**2 - 11*q + 31. Let n(f) = -3*f**3 + 6*f**2 + 5*f - 16. Let u(a) = -2*j(a) - 5*n(a). Factor u(l).
(l - 3)**2*(l + 2)
Suppose -a + 17 = -3*l - 0, -12 = 3*l. Suppose -12 = -3*y - 2*k - a, 0 = 2*y - k - 7. Factor -y*c**4 + 11*c**4 - 9*c**3 - 11*c**4.
-3*c**3*(c + 3)
Let h(j) be the third derivative of j**5/120 + j**4/3 + 19*j**2. Factor h(w).
w*(w + 16)/2
Let z(g) = -15*g**3 - 30*g**2 - 75*g - 40. Let c(y) = y**3 - y**2 - 2*y - 2. Let m(t) = -10*c(t) - z(t). Suppose m(n) = 0. Calculate n.
-4, -3, -1
Let w(c) = c**2 + 6*c - 5. Let l be w(-8). Suppose 7*g + l - 25 = 0. Suppose 0 - 1/4*a + 3/2*a**3 + 3/4*a**5 - g*a**4 + 0*a**2 = 0. Calculate a.
-1/3, 0, 1
Factor -2/7*d**5 + 0 + 24/7*d**4 + 64/7*d**2 - 72/7*d**3 + 0*d.
-2*d**2*(d - 8)*(d - 2)**2/7
Suppose -20*d + 14*d = -18. Let z(y) = 4*y**4 - y**3 + y - 1. Let l(m) = 9*m**4 - m**3 - m**2 + m - 1. Let b(u) = d*l(u) - 7*z(u). Determine q so that b(q) = 0.
-1, 1, 2
Suppose 2*y - 4 = 2*s - s, s + y - 11 = 0. Factor 2*d - s - 2 - d**2 + 7 + 0.
-(d - 1)**2
Let f = 249 + -247. Let j(b) be the second derivative of -b**3 + 3/10*b**6 - 5*b + 0 + 3/2*b**f - b**4 + 3/10*b**5. Factor j(r).
3*(r - 1)*(r + 1)**2*(3*r - 1)
Let x be ((-18)/(-12))/((-3)/(-4)). Suppose -j + 8 = 3*j. Determine p so that p**x - j*p + 3 + 0*p**2 - 2*p = 0.
1, 3
Let j(u) be the second derivative of u**5/4 - 10*u**4/3 - 95*u**3/6 - 25*u**2 + 8*u - 9. Factor j(m).
5*(m - 10)*(m + 1)**2
Let d be (50/(-8) - -6)/((-5)/24). Solve -4/5*w**3 + d*w + 4/5 - 6/5*w**2 = 0 for w.
-2, -1/2, 1
Suppose 0 = 2*z - z - 2. Let u(p) be the first derivative of -1/2*p**4 + 0*p + 2/3*p**3 + z*p**2 + 4. Factor u(b).
-2*b*(b - 2)*(b + 1)
Let f(j) be the third derivative of -j**7/105 - j**6/20 + j**5/6 + j**4/4 - 4*j**3/3 + 42*j**2 - j. Factor f(s).
-2*(s - 1)**2*(s + 1)*(s + 4)
Let k(n) = -14*n**2 + 552*n - 132. Let c(r) = 43*r**2 - 1654*r + 393. Let j(f) = 4*c(f) + 11*k(f). Determine p so that j(p) = 0.
2/9, 30
Suppose -1288*j + 644*j + 651*j - 21 = 0. Factor 14/5*i + 1/10*i**5 + 4/5*i**4 + 5/2*i**j + 4/5 + 19/5*i**2.
(i + 1)**2*(i + 2)**3/10
Let t(g) be the third derivative of -g**7/210 + g**6/90 + g**5/30 - g**4/6 + 3*g**3 - 3*g**2. Let l(u) be the first derivative of t(u). Factor l(w).
-4*(w - 1)**2*(w + 1)
Let w(a) be the first derivative of a**6/45 - a**4/15 + a**2/15 + 149. Let w(p) = 0. Calculate p.
-1, 0, 1
Let v(d) be the third derivative of -3*d**7/140 + 7*d**6/80 + 3*d**5/20 - 62*d**2. Find w such that v(w) = 0.
-2/3, 0, 3
Let f(n) = n**2 - 185*n - 181. Let b(t) = 184*t + 180. Let x(d) = 5*b(d) + 4*f(d). Let x(q) = 0. What is q?
-44, -1
Let p be 6 + 11/(-4) + 45/(-18). Suppose 0 - p*u**2 - 1/2*u = 0. What is u?
-2/3, 0
Factor 114/5*b + 0 - 3/5*b**2.
-3*b*(b - 38)/5
Let a(n) be the first derivative of n**4/24 - n**3/12 - n**2/2 + 11*n - 30. Let s(v) be the first derivative of a(v). Factor s(m).
(m - 2)*(m + 1)/2
Let c(f) be the first derivative of -2/21*f**3 + 0*f + 30 - 1/7*f**2. Factor c(l).
-2*l*(l + 1)/7
Let b(x) be the second derivative of x**5/5 - 10*x**4/3 - 46*x**3/3 - 24*x**2 + 72*x. Factor b(f).
4*(f - 12)*(f + 1)**2
Let 35*x**2 + 480 - 12*x**2 - 18*x**2 + 100*x = 0. What is x?
-12, -8
Let k(a) be the second derivative of 3*a**5/20 + a**4/2 - 5*a**3/2 - 9*a**2 - 206*a. Factor k(v).
3*(v - 2)*(v + 1)*(v + 3)
Let b be (-200)/(-35) + 4 - 2/(-7). Let x**5 - 14*x**3 - 3*x**5 + 7*x**2 - b*x**4 - 5*x**2 - 8*x**2 = 0. What is x?
-3, -1, 0
Let v = 21313/650 + -1971/50. Let o = -55/13 - v. Let 16/5 - o*g**2 - 24/5*g + 14/5*g**3 + 6/5*g**4 = 0. What is g?
-2, 2/3, 1
Let w(x) be the third derivative of -x**7/525 - x**6/75 - x**5/150 + x**4/10 + 4*x**2 + 12*x. Factor w(v).
-2*v*(v - 1)*(v + 2)*(v + 3)/5
Let a(j) = -4*j**5 - 28*j**4 - 62*j**3 + 10*j**2 + 90*j - 2. Let c(l) = l**5 - 2*l**3 - l**2 - l + 1. Let u(w) = a(w) + 2*c(w). Suppose u(f) = 0. What is f?
-11, -2, 0, 1
Suppose 2*g - 4*b = 6, 51 = 3*g + 2137*b - 2136*b. Determine l so that -5/3*l**2 - g - 10*l = 0.
-3
Let w be (-6)/(-4*(-18)/(-168)). Let h(y) be the first derivative of 0*y + w - 2/15*y**3 + 2/5*y**2. Let h(a) = 0. Calculate a.
0, 2
Suppose 62 = -2*o - 4*b, -7*o + 2*o + 4*b = 85. Let s = o - -31. Factor s*d**2 - 5*d**2 - 2*d + 6*d + d.
5*d*(d + 1)
Let k be -4*30/288*4/(-7). Let n = k + 1/3. Let 0 - n*c**3 - 4/7*c**5 + 0*c**2 + 8/7*c**4 + 0*c = 0. What is c?
0, 1
Let s(c) be the second derivative of -c**5/10 - 4*c**4/3 + 10*c. Suppose s(m) = 0. What is m?
-8, 0
Let y(d) be the third derivative of -1/280*d**7 + 3/8*d**4 + 0 + 3/80*d**6 - 1/2*d**3 - 13/80*d**5 + 0*d - 22*d**2. Determine m so that y(m) = 0.
1, 2
Let b(i) be the first derivative of -i**3/21 + i**2 - 7*i + 85. Suppose b(v) = 0. Calculate v.
7
Let j(f) be the first derivative of -1/9*f**2 + 4/9*f + 24 + 1/18*f**4 - 4/27*f**3. Solve j(g) = 0.
-1, 1, 2
Let d(x) be the first derivative of -5*x**3/3 + 30*x**2 - 55*x - 62. Determine c, given that d(c) = 0.
1, 11
Let r be -1 - 3/1 - -7. Factor 3*b**4 + 757*b**2 - r*b**5 - 757*b**2.
-3*b**4*(b - 1)
Let r(t) be the third derivative of -1/60*t**6 + 14*t**2 + 2/3*t**3 - 1/6*t**5 + 0*t + 1/35*t**7 + 1/12*t**4 + 0. What is m in r(m) = 0?
-1, -2/3, 1
Let a(t) be the third derivative of 7*t**6/600 - 33*t**5/50 + 49*t**4/24 - 9*t**3/5 + t**2 + 12. Suppose a(x) = 0. What is x?
2/7, 1, 27
Let g(p) be the first derivative of -7*p**3/9 - 104*p**2/3 + 20*p + 86. Factor g(s).
-(s + 30)*(7*s - 2)/3
Let a be (15 + -6 - 6) + 3/15. Solve -4/5*s**5 - a*s + 8/5*s**4 + 0 + 12/5*s**3 - 16/5*s**2 = 0.
-1, 0, 2
Suppose -62*t - 22 + 40 = -168. Factor a**2 - 1/4*a**t - 1 + 1/4*a.
-(a - 4)*(a - 1)*(a + 1)/4
Let g(b) be the second derivative of -b**4/12 + b**3/6 - b**2/2 + 14*b. Let q(y) = -12*y**2 - 3*y - 9. Let z(c) = -9*g(c) + q(c). Let z(a) = 0. Calculate a.
-4, 0
Let a = -5/766 - -6153/3830. What is i in a*i + 0 + 2/5*i**2 = 0?
-4, 0
Let i(l) be the first derivative of -l**4 - 8*l**3/3 + 2*l**2 + 8*l + 42. Factor i(f).
-4*(f - 1)*(f + 1)*(f + 2)
What is m in 21/2*m + 0 - 3/2*m**2 = 0?
0, 7
Suppose 2*n - 10 = -2*b, -5*b = 5*n - 6*n - 19. What is z in 4*z - z**4 + 7*z**3 - z**3 - 35*z**2 - 2*z**5 + 25*z**2 + 3*z**b = 0?
-2, 0, 1
Let t(l) be the third derivative of -25/24*l**4 - 1/12*l**5 + 0 + 0*l + 9*l**2 - 10/3*l**3. Factor t(k).
-5*(k + 1)*(k + 4)
Suppose -5*j = 3*u - 8, -4*u - j + 3 = -2*j. Factor -27*r**3 + u + 3 + 25*r**3 - r**2 + 8*r.
-(r - 2)*(r + 2)*(2*r + 1)
Let i(h) = -h**2 + h. Let u(g) = -g**3 + g**2 + g + 1. Let l(y) = 8*y**3 - 18*y**2 + 5*y - 5. Let z(m) = l(m) + 5*u(m). Let a(r) = 4*i(r) - z(r). Factor a(f).
-3*f*(f - 2)*(f - 1)
Let u(x) be the second derivative of -1/35*x**5 + 0*x**3 + 0*x**2 + 0*x**4 + 17*x + 0. Suppose u(y) = 0. What is y?
0
Let a(z) = -9*z**2 + 17*z + 2. Let k(p) = p**2 - p - 2. Let v(r) = -5*a(r) - 40*k(r). Factor v(w).
5*(w - 7)*(w - 2)
Let v(z) be the third derivative of z**8/24 + z**7/21 - 23*z**6/60 - z**5/30 + 4*z**4/3 - 4*z**3/3 - 61*z**2. Solve v(w) = 0.
-2, -1, 2/7, 1
Let n(d) be the first derivative of -1/6*d**2 + 28 + 1/24*d**4 + 0*d - 1/18*d**3. Determine s so that n(s) = 0.
-1, 0, 2
Factor -59/4*g - 15/2*g**2 + 1/2.
-(g + 2)*(30*g - 1)/4
Suppose -2*a + 22 = -0*a. Let y(c) = -c**2 + 10*c + 11. Let w be y(a). Factor 2*h**2 + w + 8*h + 7 - 1.
2*(h + 1)*(h + 3)
Determine u, given that 3*u + 70*u**2 - 77*u**2 + 6 + 5*u**3 - 8*u - u**4 + 2*u**4 = 0.
-6, -1, 1
Let d(q) be the third derivative of 1/105*q**7 + 36*q**2 - 1/140*q**6 - 1/30*q**5 + 0 + 5/1176*q**8 - 1/42*q**4 + 0*q**3 + 0*q. Let d(z) = 0. Calculate z.
-1, -2/5, 0, 1
Let g = -281 + 2249/8. Let s(j) be the first derivative of 1/2*j**3 - 7 + g*j**4 + 1/2*j + 3/4*j**2. Find x, given that s(x) = 0.
-1
Suppose h - 3*h + 6 = 0. Let f be (-5)/6 + 1 + (-322)/(-84). Find g, given that 0*g**4 - 1 - 2*g + 2*g**h + g**f + 0*g**3 = 0.
-1, 1
Factor -2/9*j**3 - 2/9*j**2 + 4/9*j + 0.
-2*j*(j - 1)*(j + 2)/9
Determine d so that 0*d**2 + 5*d**2 - 171 + 200*d + 109 - 143 = 0.
-41, 1
Let n = 111 + 15. Let m be ((-6)/(-4))/(n