 100*t**4 + 75*t**2 - 3*t**3 + 187*t**4 + 4*t**3 - 6*t**3 + 50 - 115*t.
-5*(t - 2)*(t - 1)**2*(t + 5)
Let t(c) be the second derivative of -9*c**5/40 - 377*c**4/12 - 1309*c**3 + 882*c**2 - 56*c - 1. Determine v, given that t(v) = 0.
-42, 2/9
Let k(r) be the third derivative of 0 + 1/1155*r**7 + 49/33*r**3 - 3*r + 7/11*r**4 + 9*r**2 - 1/55*r**6 + 1/15*r**5. Suppose k(a) = 0. What is a?
-1, 7
Let d(j) = j**2 - 11*j + 15. Let z be d(10). Let y = z - 2. Suppose 0*l**3 + 0*l**4 + 2*l**4 + l**y - 3*l**4 + l**2 - l**5 = 0. Calculate l.
-1, 0, 1
Solve -2/3*y**3 - 14/9*y**2 + 2/9*y**5 + 2/3*y**4 + 4/3*y + 0 = 0.
-3, -2, 0, 1
Let g = -128283/8 - -16036. Factor g*d**2 - 11/8*d + 1/4.
(d - 2)*(5*d - 1)/8
Let q(t) = t**4 - 13*t**3 - 13*t**2 + 9*t + 10. Let l(s) = 3*s**4 - 27*s**3 - 28*s**2 + 17*s + 20. Let i(m) = 2*l(m) - 5*q(m). Factor i(o).
(o - 1)*(o + 1)**2*(o + 10)
Let h(f) = f**3 - 8*f**2 - 10*f - 7. Let r(g) = -19*g - 8*g**2 - 22*g - 6 + 31*g. Let b(n) = 4*h(n) - 6*r(n). What is k in b(k) = 0?
-2, -1
Suppose 0 + 0*g + 88/5*g**2 + 2/5*g**3 = 0. What is g?
-44, 0
Suppose -2*c = -3*c - 20. Let a = -17 - c. Factor 2/3*m**2 + 4/3*m + 0 - 2/3*m**a.
-2*m*(m - 2)*(m + 1)/3
Let i(o) be the first derivative of -o**7/1400 + o**6/200 + o**5/200 - 3*o**4/40 - 12*o**3 + 40. Let b(k) be the third derivative of i(k). Factor b(a).
-3*(a - 3)*(a - 1)*(a + 1)/5
Let o(b) be the first derivative of 5*b**4/4 - 10*b**3 + 25*b**2/2 - 494. Find l, given that o(l) = 0.
0, 1, 5
Let m(d) be the second derivative of -3*d**5/50 - d**4/5 + 4*d**3/5 + 24*d**2/5 + 56*d. Factor m(q).
-6*(q - 2)*(q + 2)**2/5
Suppose 3 = 3*x - 6. Suppose -2*j + 4*r = j - 12, r = -3*j - x. Factor 10/3*i**3 + 0 + j*i - 8/3*i**4 - 2/3*i**2.
-2*i**2*(i - 1)*(4*i - 1)/3
Let w(a) be the second derivative of 0 + 13/66*a**4 - 13/33*a**3 - 3/110*a**5 + 3/11*a**2 + 6*a. Determine p so that w(p) = 0.
1/3, 1, 3
Let i(u) be the second derivative of u**4/6 - 15*u**3 - 46*u**2 + 3*u + 4. Factor i(g).
2*(g - 46)*(g + 1)
Let p = 163 - 157. Suppose -p*r + 1 = -23. Suppose 2/3*l**5 + 2/3*l**2 + 0 + 0*l - 2/3*l**r - 2/3*l**3 = 0. Calculate l.
-1, 0, 1
Let a(u) be the second derivative of -3/5*u**5 + 0*u**2 - 6*u + 0*u**3 + 0*u**6 - 2/3*u**4 + 1 + 2/21*u**7. Determine g, given that a(g) = 0.
-1, 0, 2
Let n(u) be the third derivative of -1/130*u**5 + 0*u + 0 - 1/780*u**6 - 14*u**2 + 4/39*u**3 + 0*u**4. Factor n(y).
-2*(y - 1)*(y + 2)**2/13
Suppose -5*f - 5 = 0, 4*q = 5*f - 8 + 37. Let w be q + -7 + 6/5. Factor w*l**2 - 2/5*l - 3/5.
(l - 3)*(l + 1)/5
Let j(s) be the first derivative of 46*s**2 - 57*s**4 - 232/5*s**5 - 16/3*s**6 - 24*s + 88/3*s**3 + 12. Find d such that j(d) = 0.
-6, -1, 1/4, 1/2
Let v(c) be the third derivative of c**8/42 - 17*c**7/105 + 4*c**6/15 + 13*c**5/30 - 5*c**4/3 + 4*c**3/3 + 4*c**2 + 2. Solve v(h) = 0 for h.
-1, 1/4, 1, 2
Let a(u) = u**4 - 15*u**2 - 2*u + 12. Let h(l) = l**2 + l. Let t(y) = a(y) + 6*h(y). Factor t(j).
(j - 2)**2*(j + 1)*(j + 3)
Let x(y) be the first derivative of 2*y**7/35 + 3*y**6/40 - y**5/20 + 15*y**2/2 + 12. Let z(f) be the second derivative of x(f). Factor z(t).
3*t**2*(t + 1)*(4*t - 1)
Let z be (90/32)/((-350)/(-22680)). Suppose 27*t + 1 + z*t**2 = 0. Calculate t.
-2/27
Let k(l) be the second derivative of 1/15*l**4 + 8/15*l**3 + 0*l**2 + 0 + 26*l. Find i, given that k(i) = 0.
-4, 0
Suppose -10*n = -15*n - 2*f - 6, 0 = -4*n - f - 3. Factor 1/4*k**3 - 1/4*k**2 - 1/4*k**5 + 1/4*k**4 + 0*k + n.
-k**2*(k - 1)**2*(k + 1)/4
Factor -1/8*c**2 - 6*c - 47/8.
-(c + 1)*(c + 47)/8
Let v = 67 - 65. Let u be (((-8)/(-14))/v)/(48/84). What is b in -1/2*b + u*b**3 - 3/4*b**2 + 3/4*b**4 + 0 = 0?
-1, -2/3, 0, 1
Let w(c) = -c**3 + 123*c**2 - 2139*c - 298. Let v be w(102). Solve 4/3*t**4 + 20/3*t - 20/3*t**3 - v + 20/3*t**2 = 0 for t.
-1, 1, 2, 3
Let t(h) be the first derivative of -7/2*h**2 + 2/5*h**5 - 8/3*h**3 + 3 - 2*h + 1/6*h**6 - 1/2*h**4. Factor t(y).
(y - 2)*(y + 1)**4
Let r be ((-22)/(-165))/(2/10). Let v = -41 - -41. Factor 2/3 - 4/3*d**2 + 0*d**3 + r*d**4 + v*d.
2*(d - 1)**2*(d + 1)**2/3
Suppose 4257*u + 6 = 4259*u. Let d(j) be the first derivative of 1/3*j**u - j + 0*j**2 + 4. Factor d(i).
(i - 1)*(i + 1)
Let k(v) be the first derivative of 2/3*v**3 - 3 - 1/4*v**4 + 2*v**2 + 1/30*v**6 + 0*v - 1/10*v**5. Let c(f) be the second derivative of k(f). Factor c(s).
2*(s - 2)*(s + 1)*(2*s - 1)
Let -9*r**2 - 11*r**2 - 5*r - 19*r**3 + 20 + 24*r**3 = 0. Calculate r.
-1, 1, 4
Suppose -2*q = 13*q - 4*q. Let f(i) = 2*i**2 - 2*i. Let h be f(q). Suppose -4/5*z**2 + h + 1/5*z = 0. What is z?
0, 1/4
Suppose 3*c + 2*y = 4*y + 8, 0 = 5*c - 3*y - 13. Let i be 7/(1/((-8)/(-140))). Factor 4/5 + 2/5*p - i*p**c.
-2*(p - 2)*(p + 1)/5
Let s = 215/28 + -52/7. Let w(v) be the second derivative of -3*v - 3*v**3 - 27/2*v**2 - s*v**4 + 0. Solve w(m) = 0.
-3
Suppose -40 = -3*w + 7*q - 2*q, w = 2*q + 16. Factor 0*a - 3/8*a**4 - 3/4*a**2 - 9/8*a**3 + w.
-3*a**2*(a + 1)*(a + 2)/8
Suppose -3 = -35*r + 172. Let d(z) be the third derivative of -1/90*z**r - 7*z**2 - 1/3*z**3 + 0*z + 0 + 1/9*z**4. Factor d(b).
-2*(b - 3)*(b - 1)/3
Suppose -5*d = -5 - 5. Let m = -22 + 24. Factor -7*o**5 - d*o**3 - 11*o**4 + 0 + 0 + m*o**4.
-o**3*(o + 1)*(7*o + 2)
Let x(r) = r + 17. Let z be x(-7). Suppose -21*h + z = -16*h. Factor -16*j**2 - 4 - 12*j + j**2 + 3*j**h - 4*j**3.
-4*(j + 1)**3
Let k(d) be the second derivative of 1/20*d**5 + 1/4*d**4 - 1/2*d**2 + 4*d + 1/2*d**3 + 0. Let x(f) be the first derivative of k(f). Solve x(m) = 0 for m.
-1
Let g(d) be the second derivative of d**8/33600 - d**7/6300 + d**6/3600 - 3*d**4/4 - 2*d. Let p(h) be the third derivative of g(h). Factor p(y).
y*(y - 1)**2/5
Let a(g) be the first derivative of g**6/21 + 34*g**5/105 + 11*g**4/14 + 46*g**3/63 - 8*g/21 - 219. Let a(l) = 0. Calculate l.
-2, -1, 1/3
Let t(r) = 4*r**2 + 26*r + 58. Let i(x) = 8*x**2 + 51*x + 115. Let g(p) = -6*i(p) + 13*t(p). Solve g(w) = 0.
-4
Let j(k) be the first derivative of 0*k + 2/11*k**4 + 28 + 2/3*k**3 + 6/11*k**2. Solve j(t) = 0.
-2, -3/4, 0
Let j(b) be the first derivative of -b**4/4 + 17*b**3/3 - 12*b**2 - 36*b + 30. Let a(t) = -t**2. Let y(l) = -30*a(l) - 5*j(l). Factor y(r).
5*(r - 6)**2*(r + 1)
Let a be (160/180)/((-6)/(-27)). Let s(c) be the first derivative of 0*c - 1/3*c**6 + 0*c**5 + 6 - c**2 + c**a + 0*c**3. Find m, given that s(m) = 0.
-1, 0, 1
Let c(p) = 34*p + 410. Let q be c(-12). Determine y so that 4/11*y**3 + 2/11*y**4 - 4/11*y + 6/11 - 8/11*y**q = 0.
-3, -1, 1
Let x(i) = -10*i**3 + 5*i**2 + 10*i + 5. Let w(b) = -11*b**3 + 6*b**2 + 11*b + 6. Let o = -29 - -24. Let y(r) = o*w(r) + 6*x(r). Determine p so that y(p) = 0.
-1, 0, 1
Let g(d) = d**3 - 87*d**2 + 39*d + 37. Let y(j) = -86*j**2 + 40*j + 38. Let i(b) = -4*g(b) + 5*y(b). Factor i(m).
-2*(m - 1)*(m + 21)*(2*m + 1)
Solve -3/8*x**4 + 6*x**3 + 9/8*x**2 + 12 - 75/4*x = 0.
-2, 1, 16
Let n(d) = d**2 + 2*d - 559. Let s(x) = 186. Let h(u) = 3*n(u) + 8*s(u). Factor h(b).
3*(b - 7)*(b + 9)
Let d = 696 - 696. Let h(a) be the second derivative of d*a**3 + 0 - 1/2*a**2 - 1/30*a**6 - 8*a + 0*a**5 + 1/6*a**4. Factor h(r).
-(r - 1)**2*(r + 1)**2
Suppose -3*y + 3*p - 111 = -117, -2*y - 2*p = -8. Factor 0 - 2/11*r**2 + 2/11*r**4 + 4/11*r**y - 4/11*r.
2*r*(r - 1)*(r + 1)*(r + 2)/11
Let f(k) be the first derivative of -5*k**3/3 - 45*k**2/2 - 40*k + 55. Factor f(g).
-5*(g + 1)*(g + 8)
Let o(i) = -3*i**3 + 2*i**2 - 2*i - 3. Let l be o(-1). Let x(u) be the second derivative of -5*u - 1/15*u**3 + 1/30*u**l + 0 - 2/5*u**2. Factor x(h).
2*(h - 2)*(h + 1)/5
Find s, given that 1/5*s**3 - 1/5*s + 7/5*s**2 - 7/5 = 0.
-7, -1, 1
Let d(y) = -y**2 - 42*y - 425. Let s be d(-17). Let k(h) be the first derivative of 3 - 35/8*h**4 - 2/3*h**3 + s*h + h**2. Factor k(u).
-u*(5*u + 2)*(7*u - 2)/2
Let y(g) be the third derivative of -g**8/3840 - 11*g**7/13440 - g**6/960 - 4*g**5/15 - 28*g**2. Let d(w) be the third derivative of y(w). Factor d(l).
-3*(2*l + 1)*(7*l + 2)/8
Find d, given that -14/3*d**2 - 4*d**3 + 4*d + 16/3 - 2/3*d**4 = 0.
-4, -2, -1, 1
Factor -z**3 + 92*z**2 + 248*z**2 - 549*z**3 - 8*z - 16 + 4*z - 4*z.
-2*(5*z - 2)**2*(11*z + 2)
Let s be (-3)/(36/32)*(-18)/24. Let b(d) be the second derivative of 1/2*d**4 - s*d - 3/20*d**5 + 0*d**2 - 1/2*d**3 + 0. Determine r so that b(r) = 0.
0, 