+ 9*s - 1. Let d(t) = v*o(t) - 2*w(t). Factor d(f).
3*(f + 1)**2*(5*f - 1)
Let -16*j**2 + 12*j**2 - 29*j - 11*j - 14 - 22 = 0. Calculate j.
-9, -1
Let g(l) be the second derivative of -l**4/42 + 3*l**3/7 - 18*l**2/7 - l + 63. Solve g(d) = 0.
3, 6
Let d(z) = 14*z**2 + 2182*z - 196546. Let m(n) = 4*n**2 + 727*n - 65516. Let x(i) = 3*d(i) - 10*m(i). Suppose x(g) = 0. Calculate g.
181
Let a(w) be the third derivative of -2*w**2 + 0*w + 0 + 3/2*w**3 + 11/8*w**4 - 1/5*w**5. Factor a(m).
-3*(m - 3)*(4*m + 1)
Let m(d) = 5*d**2 + 2*d**3 + 4*d**4 + 2*d**4 - d + d**3 - 11*d**4 - 2*d**5. Let j(r) = r**5 + r**4 - r**3 - r**2. Let x(t) = -6*j(t) - 2*m(t). Factor x(s).
-2*s*(s - 1)**3*(s + 1)
Let b(c) be the third derivative of 2*c**7/1575 - c**6/900 - c**5/50 + c**4/45 + 4*c**3/45 - 98*c**2. Let b(g) = 0. What is g?
-2, -1/2, 1, 2
Let a(n) be the third derivative of -1/30*n**6 + 0*n + 1/3*n**5 + 0 - 5*n**2 - 4/3*n**4 + 8/3*n**3. Suppose a(t) = 0. What is t?
1, 2
Let q(d) be the second derivative of -d**5/120 + 17*d**4/72 - 11*d**3/9 + 7*d**2/3 + 19*d. Factor q(y).
-(y - 14)*(y - 2)*(y - 1)/6
Suppose -56*h = -61*h. Let v(f) be the third derivative of -1/200*f**6 + 0*f - 2*f**2 + 0*f**3 - 1/40*f**4 - 1/50*f**5 + h. Factor v(u).
-3*u*(u + 1)**2/5
Let g(z) be the second derivative of 16*z**4/3 + 62*z**3/3 - 4*z**2 + 115*z. Factor g(s).
4*(s + 2)*(16*s - 1)
Let d(o) be the second derivative of o**4/18 - 32*o**3/9 + 256*o**2/3 + 7*o. Determine x, given that d(x) = 0.
16
Let n(h) be the first derivative of h**7/168 + 11*h**6/72 + h**5 - 15*h**4/2 + 28*h**3/3 + 30. Let g(s) be the third derivative of n(s). Factor g(u).
5*(u - 1)*(u + 6)**2
Let x(v) = -5*v**2 - 12*v + 15. Let i(u) = 12*u**2 + 26*u - 32. Let q(p) = 3*i(p) + 7*x(p). Suppose q(s) = 0. Calculate s.
3
Suppose -11 - 17 = -14*y. Solve 0*k + 2*k**y + 50 + 15*k + 8*k - 3*k = 0 for k.
-5
What is t in -56 - 13*t**3 + 8*t**3 - 60*t**2 - 35*t + 2*t**3 + 5*t**3 + 149*t = 0?
1, 28
Let a(q) = -12*q**4 + 3*q**3 + 6*q**2 - 6*q - 3. Let r(h) = -h**5 - 13*h**4 + 3*h**3 + 5*h**2 - 6*h - 4. Let k(j) = 4*a(j) - 3*r(j). Factor k(d).
3*d*(d - 2)*(d - 1)**2*(d + 1)
Let g(j) be the third derivative of 8*j**2 + 0*j + 0*j**5 + 0 - 1/540*j**6 + 0*j**3 + 0*j**4 - 2/945*j**7. Determine z, given that g(z) = 0.
-1/2, 0
Let h = -17 + 19. Factor -5*r**h - 11*r**3 + 6*r**2 + 10*r**3.
-r**2*(r - 1)
Let y(l) be the second derivative of l**6/150 - l**5/50 + l**3/15 - l**2/10 - 30*l. What is z in y(z) = 0?
-1, 1
Let l(w) be the first derivative of w**6/1800 - w**5/300 + w**4/120 - 4*w**3/3 + 2. Let p(a) be the third derivative of l(a). Factor p(c).
(c - 1)**2/5
Let m be ((-2 - -3) + 3)*-6. Let z = 27 + m. Factor -4/7*i**2 + 0*i + 2/7*i**4 - 2/7*i**z + 0.
2*i**2*(i - 2)*(i + 1)/7
Suppose 0 = 3*m - 1 - 11. Let x(y) be the first derivative of 1 - y**3 - 6*y**3 + m - 24*y**2 + 4 - 12*y. Suppose x(p) = 0. Calculate p.
-2, -2/7
Let u(p) be the second derivative of p**4/12 + 10*p**3 + 450*p**2 + 18*p - 2. Factor u(n).
(n + 30)**2
Suppose 46*m - 304 - 247 = -413. Determine t so that -2/3*t**m + 2/3 + 2/3*t - 2/3*t**2 = 0.
-1, 1
Suppose -5*n = -i + 470, 3*i = 3*n + 2071 - 637. Factor -5*h**3 + h**3 + 482*h**5 - 2*h**4 - i*h**5.
2*h**3*(h - 2)*(h + 1)
Let y = -5683 + 39638/7. Let r = 21 + y. Factor 8/7 + 4/7*w**3 - r*w - 12/7*w**2 + 4/7*w**4.
4*(w - 1)**2*(w + 1)*(w + 2)/7
Factor 0 - 2/9*o**2 + 2/9*o.
-2*o*(o - 1)/9
Let 24*f**4 + 949*f**2 - 12*f**3 + 370*f - 300 - 2*f**5 - 68*f**3 - 961*f**2 = 0. Calculate f.
-2, 1, 3, 5
Let c = -16 - -16. Suppose c = -4*r + 57 - 1. Factor 14*b**3 - 4 + 10*b**4 - r*b - 8*b**2 + 0*b**4 + 2*b**2.
2*(b - 1)*(b + 1)**2*(5*b + 2)
Let o(g) be the second derivative of 1/16*g**4 + 0 + 1/8*g**3 - g + 0*g**2. Factor o(d).
3*d*(d + 1)/4
Solve 3*n**3 - 91 + 12*n + 2*n**2 - 113 - 23*n**2 + 240 = 0.
-1, 2, 6
Let l(o) be the third derivative of 40*o**5/3 - 10*o**4/3 + o**3/3 - 33*o**2. Solve l(j) = 0.
1/20
Let y = -2211 + 72955/33. Let i = 68/99 + y. Solve 2*a**2 + 22/9*a**3 - i*a + 0 = 0.
-1, 0, 2/11
Let n(h) be the second derivative of -1/18*h**4 - 10*h + 2/9*h**3 + 0 + 0*h**2. Factor n(m).
-2*m*(m - 2)/3
Factor -2/3*a**3 + 0 - 2*a**2 - 4/3*a.
-2*a*(a + 1)*(a + 2)/3
Let z = -33 + 6. Let u be ((-8)/(-3) - 4)*z. Factor 6*v**4 - v + u*v**2 + 17*v - 2*v**4 + 24*v**3.
4*v*(v + 1)**2*(v + 4)
Let q be 1*(8 - 12)*10/(-48). Determine k so that -k + 0 + q*k**2 - 1/6*k**3 = 0.
0, 2, 3
Let r(w) be the first derivative of 2*w**4 + 20*w - 32/5*w**3 - 4*w**2 - 5 - 4/25*w**5. Let r(s) = 0. Calculate s.
-1, 1, 5
Let t(k) be the first derivative of 0*k + k**3 - 1/5*k**5 + 0*k**4 - k**2 - 15. Factor t(r).
-r*(r - 1)**2*(r + 2)
Let p = -934 - -2803/3. Let w be 0/((-4)/((-8)/(-6))). Let -2/3*b**3 + w + 1/3*b**4 + p*b**2 + 0*b = 0. Calculate b.
0, 1
Let c(h) be the first derivative of -2*h**5/35 + 5*h**4/7 + 2*h**3/21 - 10*h**2/7 + 61. Solve c(k) = 0 for k.
-1, 0, 1, 10
Let u(l) be the third derivative of 3*l**8/224 - 11*l**7/35 - 197*l**6/240 + 17*l**5/30 + 47*l**4/12 + 16*l**3/3 + 4*l**2 + 10*l. Solve u(j) = 0 for j.
-1, -2/3, 1, 16
Let u be (8/(-14))/(-77 + 76). Let -u*y + 10/7*y**2 - 8/7 - 2/7*y**4 - 1/7*y**5 + 5/7*y**3 = 0. Calculate y.
-2, -1, 1, 2
Let t(y) be the first derivative of -1/4*y**6 + 3/10*y**5 + 0*y**2 + 3/4*y**4 + 0*y**3 - 21 + 0*y. Factor t(s).
-3*s**3*(s - 2)*(s + 1)/2
Let q(g) = -33*g**5 + 27*g**4 + 15*g**2 + 3*g - 12. Let z(c) = 2*c**5 - 2*c**4 + c**3 - c. Let u(m) = -q(m) - 15*z(m). Suppose u(a) = 0. What is a?
-2, -1, 1, 2
Let g(o) be the second derivative of 9*o**5/80 - o**4/48 - 5*o - 5. Let g(c) = 0. What is c?
0, 1/9
Let u be (((-9)/21)/(48/(-21)))/(-14). Let l = 131/224 + u. Let 2/7*w - l + 2/7*w**2 = 0. What is w?
-2, 1
Let w(m) be the first derivative of -5*m**4/4 - 135*m**3 + 825*m**2/2 - 415*m - 607. Factor w(b).
-5*(b - 1)**2*(b + 83)
Let u(z) be the first derivative of -7*z + 0*z**3 + 9 + 5/6*z**4 - 1/4*z**5 + 0*z**2. Let n(q) be the first derivative of u(q). Suppose n(k) = 0. Calculate k.
0, 2
Let q(s) = 348*s**2 + 0*s**5 + 4*s**5 + 33*s**2 + 39*s**4 - 225*s**3 - s**5 - 6*s. Let n(h) = h**5 - h**4 + h**2 - h. Let c(a) = -6*n(a) + q(a). Factor c(x).
-3*x**2*(x - 5)**3
Let h = 44624/9 + -4958. Solve 8/3*m - 8 - h*m**2 = 0.
6
Let v = 1 + 8. Suppose 4 + v*o**2 - 38*o + 55*o + o**2 - 31*o = 0. What is o?
2/5, 1
Let a(r) be the second derivative of r**6/360 - r**5/60 + r**4/24 - 41*r**3/6 + 7*r. Let v(k) be the second derivative of a(k). Factor v(p).
(p - 1)**2
Let t(f) be the first derivative of -f**8/5040 + f**7/2520 + f**6/216 + f**5/120 + 40*f**3/3 + 37. Let l(v) be the third derivative of t(v). Factor l(s).
-s*(s - 3)*(s + 1)**2/3
Let y(l) = -20*l**4 + 18*l**3 + 42*l**2 + 22*l + 18. Let q(k) = -k**4 + k**3 + 2*k**2 + k + 1. Let p(r) = 36*q(r) - 2*y(r). Let p(j) = 0. What is j?
-1, 0, 2
Factor 103*h**2 + 137 - 100*h**2 + 23 - 7 + 21*h + 39*h.
3*(h + 3)*(h + 17)
Let w(j) be the second derivative of j**4/48 + 7*j**3/4 + 441*j**2/8 + 3*j - 79. Factor w(k).
(k + 21)**2/4
Let x be 52/5 + 42/(-30). Let q(l) be the second derivative of x*l + 0*l**2 + 0 - 1/24*l**4 - 1/12*l**3. Factor q(u).
-u*(u + 1)/2
Let g(k) be the first derivative of -k**6/480 + 3*k**5/160 + k**4/8 + 4*k**3/3 - 11. Let j(t) be the third derivative of g(t). Factor j(q).
-3*(q - 4)*(q + 1)/4
Let n(p) be the second derivative of -p**6/360 + p**5/120 + 6*p**3 + 6*p. Let h(z) be the second derivative of n(z). Find v, given that h(v) = 0.
0, 1
Let y(n) be the first derivative of 3 + 1/16*n**4 + 6*n**2 + 16*n - 5/4*n**3. Let y(o) = 0. What is o?
-1, 8
Factor 9 - 105*z**3 + 4*z + 11*z + 200*z**3 - 98*z**3 + 3*z**2.
-3*(z - 3)*(z + 1)**2
What is r in -1/3*r**3 - 1 + 3/2*r**2 - 7/6*r = 0?
-1/2, 2, 3
Let m(y) be the second derivative of -y**5/20 - 37*y**4/12 - 174*y. Factor m(v).
-v**2*(v + 37)
Suppose 0 = 3*r - 25*r + 44. Factor 1/6*l**r + 0 - 1/6*l**3 + 0*l.
-l**2*(l - 1)/6
Let o(k) = 7*k**3 + 44*k**2 + 354*k + 558. Let r(s) = -10*s**3 - 42*s**2 - 354*s - 558. Let v(u) = 4*o(u) + 3*r(u). Suppose v(q) = 0. What is q?
-3, 31
Let h(f) = 2*f + 6. Let s be h(-5). Let g be (-60)/(-3) + s - -3. Solve -4*i**2 - g + 19 + 0*i**3 + 2*i**3 + 2*i**4 = 0.
-2, 0, 1
Suppose 0 = v + 31 - 35. Suppose -3*t - v*t**2 + 8*t + 28 + 2 - t**2 = 0. Calculate t.
-2, 3
Factor 2/5*w**