3*t**5/140 + 3*t**4/28 - 3*t**3/14 + 3*t**2/14 - 3*t - 14. Factor i(g).
-3*(g - 1)**3/7
Let p(b) be the second derivative of b**7/210 - 7*b**6/150 + 11*b**5/100 - b**4/12 + 82*b. Factor p(t).
t**2*(t - 5)*(t - 1)**2/5
Let v(j) be the third derivative of j**7/840 + 47*j**6/480 + 115*j**5/48 + 529*j**4/96 - 7*j**2 - 19. Factor v(f).
f*(f + 1)*(f + 23)**2/4
Let z(w) be the third derivative of -w**5/24 - 5*w**4/4 - 25*w**3/3 - 17*w**2 + 3*w. Solve z(v) = 0.
-10, -2
Suppose -4*k - 656 = 3*s, 3*k - 4*s + 145 = 2*k. Let o = k - -323/2. Factor -o*n**4 + 1/2*n - 1/2*n**3 + 0 + 1/2*n**2.
-n*(n - 1)*(n + 1)**2/2
Factor -188*h - 381*h**3 + 56 - 140*h**2 + 179*h**3 + 186*h**3.
-4*(h + 2)*(h + 7)*(4*h - 1)
Let g(y) be the first derivative of -5*y**3/3 + 55*y**2 - 560*y - 227. Let g(s) = 0. Calculate s.
8, 14
Let q = -284 + 286. Determine i, given that -1/2 + 1/4*i**5 - 4*i**q - 3/2*i**4 + 9/4*i + 7/2*i**3 = 0.
1, 2
Let w(q) = -3*q**4 + 6*q**3 + 6*q**2 - 6*q. Suppose t + 6 = 3*t. Let y(s) = 9*s**4 - 17*s**3 - 17*s**2 + 17*s. Let r(p) = t*y(p) + 8*w(p). Factor r(n).
3*n*(n - 1)**2*(n + 1)
Suppose -42*o + 14*o = 31*o + 22*o. Factor -2/11*t**5 + 0*t**4 + 0*t**2 + 2/11*t**3 + o + 0*t.
-2*t**3*(t - 1)*(t + 1)/11
Let p be (1/2)/((-5)/100). Let i be (-4)/p + 360/(-25). Let u(x) = x**2 - x - 1. Let s(r) = 8*r**2 - 6*r - 7. Let l(z) = i*u(z) + 2*s(z). Factor l(g).
2*g*(g + 1)
Find g, given that 34/5*g - 16/5*g**2 - 2/15*g**3 - 52/15 = 0.
-26, 1
Let x(g) be the first derivative of 28 - 16/3*g + 64/3*g**2 - 20/3*g**3. Factor x(z).
-4*(z - 2)*(15*z - 2)/3
Suppose 0 = 49*s - 44*s + 105. Let i(c) = -2*c - 42. Let u be i(s). Factor 2/3*z**3 + 2/3*z + 4/3*z**2 + u.
2*z*(z + 1)**2/3
Let u be 2 + (-7 - 51/(-9)). Suppose -3*z + 2 = -2*z. Factor -2/3*g**4 + 0 - 2/3*g + 2/3*g**z + u*g**3.
-2*g*(g - 1)**2*(g + 1)/3
Factor 2/7*g**2 + 88/7*g - 90/7.
2*(g - 1)*(g + 45)/7
Let v(t) be the first derivative of 7*t**4/12 - 104*t**3/27 - 131*t**2/18 - 2*t/3 - 95. Determine o so that v(o) = 0.
-1, -1/21, 6
Let x(f) be the third derivative of -f**8/3920 + f**7/392 - f**6/120 + 3*f**5/280 - 4*f**3 + 10*f**2. Let k(v) be the first derivative of x(v). Factor k(w).
-3*w*(w - 3)*(w - 1)**2/7
Suppose -535*v + 1023*v + 3*v**2 - 512*v = 0. What is v?
0, 8
Let i be 2/2*(14 - 276/20). Factor i*r**2 + 0 + 1/10*r + 1/10*r**3.
r*(r + 1)**2/10
Let f(l) be the first derivative of l**4/24 + 10*l**3/9 - 7*l**2/4 - 377. Factor f(i).
i*(i - 1)*(i + 21)/6
Let c(b) = -b**3 - 7*b**2 - 9*b - 16. Let y be c(-6). Suppose 0*i + 4*i = 12. Find l such that 5*l**2 - 4*l**2 + 2*l**y + i*l**4 + 4*l**3 + 2*l**3 = 0.
-1, 0
Factor -9*m**2 + 181653 - m**3 - 8*m - 181653.
-m*(m + 1)*(m + 8)
Let n = 65/3 - 21. Suppose s + 5*r + 6 = 3*s, r + 9 = 3*s. Solve 2/3*z + 0 + n*z**s + 4/3*z**2 = 0.
-1, 0
Let v be (-6)/10*(-8)/3. Let z = 28836 - 144168/5. Factor -z*d + v + 4/5*d**2.
4*(d - 2)*(d - 1)/5
Suppose -10*f = -12*f + 78. Factor 2*c**2 + 29*c - 5*c**3 - f*c - 17*c**2.
-5*c*(c + 1)*(c + 2)
Suppose -4*q + 0 - 6 = 2*p, 31 = -4*q + 3*p. Let h be 7/(28/48) - q. Find b, given that -21*b + 41 + 20*b**2 - 11*b - h - 4*b**3 - 9 = 0.
1, 2
Let q = -63/22 + 1367/462. Factor -q*x**2 + 2/7 - 4/21*x.
-2*(x - 1)*(x + 3)/21
Let k(g) = g - 4. Let o be k(10). Determine q so that q**3 + 5*q**4 - 2*q**4 - 7*q**3 - 3 + o*q + 0*q**3 = 0.
-1, 1
Let f(o) be the first derivative of o**5/450 - o**4/90 - o**2 - 2. Let q(x) be the second derivative of f(x). Determine m, given that q(m) = 0.
0, 2
Let o(h) be the first derivative of -h**4/28 - 59*h**3/21 + h**2/14 + 59*h/7 + 401. Factor o(j).
-(j - 1)*(j + 1)*(j + 59)/7
Let f be 11*79*13/65. Let m = -173 + f. Suppose -2/5*o**3 + 3/5*o**2 + m*o - 1/5*o**4 - 4/5 = 0. What is o?
-2, 1
What is p in 19812*p**2 + 36 + 22*p + 14*p - 4*p**3 - 19816*p**2 = 0?
-3, -1, 3
Let j(r) be the second derivative of -2*r**6/15 + 66*r**5/5 - 64*r**4 + 380*r**3/3 - 126*r**2 + 888*r. Suppose j(g) = 0. Calculate g.
1, 63
Suppose -3*d = -29 + 32. Let w(f) = 3*f + 6. Let h be w(d). Factor -2/3 - 4/3*s**2 - 1/3*s**h - 5/3*s.
-(s + 1)**2*(s + 2)/3
Factor -2/3*g**3 + 0*g**2 - 4 + 14/3*g.
-2*(g - 2)*(g - 1)*(g + 3)/3
Let s(l) be the third derivative of 1/360*l**5 - 1/18*l**4 + 0*l**3 + 0*l - 17*l**2 + 0. Let s(z) = 0. What is z?
0, 8
Let y(b) be the third derivative of 1/10*b**6 - 1/2*b**4 - 11*b**2 + 1/15*b**5 + 2/105*b**7 + 0 - 4/3*b**3 + 0*b. Factor y(x).
4*(x - 1)*(x + 1)**2*(x + 2)
Let c(b) be the third derivative of -b**5/60 - 20*b**4/3 - 3200*b**3/3 - 5*b**2 + 18*b. Let c(m) = 0. What is m?
-80
Let m(q) be the second derivative of q**5/5 + 2*q**4/3 - 46*q**3/3 - 120*q**2 + 133*q + 2. Factor m(w).
4*(w - 5)*(w + 3)*(w + 4)
Determine c so that -100*c**3 - 8*c**2 + c**5 + c**5 - 2652*c + 8*c**4 + 2*c**5 + 2748*c = 0.
-6, -1, 0, 1, 4
Suppose k + 12 = -8. Let b = k - -22. Find j such that 4*j + b*j**4 + 2*j**4 + 0*j**3 + 5*j**2 + 7*j**2 + 12*j**3 = 0.
-1, 0
Let w(g) be the third derivative of -g**6/780 - 2*g**5/195 - g**4/52 - 3*g**2 - 4*g. Factor w(x).
-2*x*(x + 1)*(x + 3)/13
Let c(t) be the first derivative of -3*t**5 - 65*t**4/2 - 60*t**3 - 15*t**2 + 35*t + 231. Solve c(h) = 0.
-7, -1, 1/3
Let z(u) be the first derivative of -2/9*u**3 + 0*u + 2/15*u**2 - 2/5*u**4 + 27. Solve z(i) = 0.
-2/3, 0, 1/4
Suppose 4*t - 154 = 54. Suppose -2*o = -6*o + t. Factor -o - 12 - v**2 - 73*v + 63*v.
-(v + 5)**2
Let v(k) = 7*k**3 + 16*k**2 + 4*k - 30. Let r(q) = -6*q**3 - 16*q**2 - 4*q + 28. Let d(h) = -3*r(h) - 2*v(h). Solve d(l) = 0.
-3, -2, 1
Let a(w) be the first derivative of -3/5*w**5 + w**3 - 9/4*w**4 + 0*w - 5 + 1/2*w**6 + 3*w**2. Factor a(h).
3*h*(h - 2)*(h - 1)*(h + 1)**2
Let v be 12/6 - 62/93. Factor 2/3 - 4/3*r**3 + 2/3*r**4 + 2/3*r - v*r**2 + 2/3*r**5.
2*(r - 1)**2*(r + 1)**3/3
Let u(b) be the first derivative of -b**5/140 - b**4/42 - b**3/42 + 7*b - 1. Let z(a) be the first derivative of u(a). Find v such that z(v) = 0.
-1, 0
What is c in -15*c**3 - 9*c**2 - 10174 + 5047 + 5055 + 186*c = 0?
-4, 2/5, 3
Solve -5 - 2 - 62500*d**2 + 2 - 3 - 8 + 2000*d = 0.
2/125
Let i(v) be the first derivative of v**6/9 - 26*v**5/15 + 49*v**4/6 - 158*v**3/9 + 58*v**2/3 - 32*v/3 - 391. Find q such that i(q) = 0.
1, 2, 8
Let z(i) = -3*i**2 - i - 1. Let g(l) = 50*l**2 + 85*l + 55. Let d(u) = -g(u) - 20*z(u). Find o such that d(o) = 0.
-1/2, 7
Let o = 2/2189 - -6557/10945. Factor -o*k**2 - 108/5 - 36/5*k.
-3*(k + 6)**2/5
Let i(t) be the second derivative of t**4/12 + 5*t**3/2 + 7*t**2 + 4*t - 6. Factor i(l).
(l + 1)*(l + 14)
Let -4/9*b**4 + 0 + 8/9*b**2 - 10/9*b**3 + 2/3*b = 0. What is b?
-3, -1/2, 0, 1
Suppose 0 = 3*o + o - 4*m - 28, -3*o + 4*m + 20 = 0. Let -20*g**2 - 3*g**3 + 4*g + 20*g + o*g**3 - 4*g = 0. Calculate g.
0, 2
Suppose 6*p = 4*p - 3*y + 16, 0 = 4*p + 3*y - 26. Suppose 3*q + 5 = p*q - 3*z, q - 2*z - 2 = 0. Factor 4*j**5 + 2*j**3 - q*j**4 + 10*j**3 - 12*j**4.
4*j**3*(j - 3)*(j - 1)
Find d such that -76*d - 26*d**4 + 96 + 9*d**3 - 27*d**4 - 32*d**4 + 84*d**4 = 0.
-3, 2, 8
Let c(m) be the first derivative of -2*m**5/65 + 4*m**4/13 + 20*m**3/13 + 32*m**2/13 + 22*m/13 - 113. Solve c(u) = 0 for u.
-1, 11
Let j be 12/1*(-10)/(-40). Let h be (-11)/(-55) + 2/(-10) + 2. What is y in 0 + 3/2*y**4 + 15/2*y**h + j*y + 6*y**3 = 0?
-2, -1, 0
Let w = 9 + 3. Let r be ((-3)/4)/((-3)/w). Find y, given that -6*y**4 - 2*y + 4*y**5 + 0*y**2 - r*y**3 + y**3 + 6*y**2 = 0.
-1, 0, 1/2, 1
Suppose -3*x = 2*f - 9, 0*f - 31 = -5*f + x. Suppose 52*y**4 + f*y**5 + 5*y**3 - y**5 - 42*y**4 = 0. Calculate y.
-1, 0
Suppose 4*s = 18*s - 70. Let a(y) be the second derivative of -5*y - 1/90*y**s + 1/27*y**4 - 1/27*y**3 + 0 + 0*y**2. Factor a(u).
-2*u*(u - 1)**2/9
Let b(h) be the third derivative of h**5/140 - h**4/7 - 10*h**3/7 - 282*h**2. Solve b(m) = 0 for m.
-2, 10
Let t = 1834 - 88031/48. Let z(y) be the third derivative of 0*y**5 - y**2 + 1/24*y**3 + 0*y + 0 + 1/240*y**6 - 1/840*y**7 - t*y**4. Factor z(j).
-(j - 1)**3*(j + 1)/4
Let l(a) be the third derivative of -2*a**7/105 - 2*a**6/5 - 12*a**5/5 - 364*a**2. Factor l(f).
-4*f**2*(f + 6)**2
Let z be 849/(-6) - (-2 + -4). Let b = z + 140. Solve 3/2*d**2 + b + 6*d = 0.
-3, -1
Suppose 1 + 55 = 2*o. Let b be 72/o + (-6)/(-9)*-3. Find s, given that -b - 4/7*s**4 + 8/7*s**2 + 0*s + 0*s**3 = 0.
-1, 1
Let f(c) be the first derivative