 + 0*k**4. Factor s(q).
4*q**5/5
Let i(s) = 5*s**2 - 372*s + 11534. Let z(v) = -11*v**2 + 744*v - 23069. Let k(c) = -5*i(c) - 2*z(c). Suppose k(j) = 0. Calculate j.
62
Let x(w) = -20*w**5 + 20*w**4 - 84*w**3 + 108*w**2 - 48*w + 16. Let z(n) = 2*n**5 + n**4 + n**3 - n**2 - 2*n. Let a(c) = -x(c) - 8*z(c). Factor a(p).
4*(p - 2)**2*(p - 1)**3
Let d(q) be the third derivative of q**7/5460 - q**6/468 + 35*q**3/6 + 28*q**2. Let y(t) be the first derivative of d(t). Solve y(u) = 0 for u.
0, 5
Let s be (-54)/243 - ((-56)/9 + 1). Let m(t) be the third derivative of 4/15*t**3 + 1/300*t**6 + 0*t - 5*t**2 + 1/30*t**s + 2/15*t**4 + 0. Factor m(q).
2*(q + 1)*(q + 2)**2/5
Let 0*x**2 - 8*x**2 + 21*x + 9*x**2 = 0. What is x?
-21, 0
Suppose 5*m + 0*z + 37 = -3*z, -m - z = 9. Let s(v) = -v**2 - 5*v + 2. Let c be s(m). Factor 2*f**c + 3 + 5*f + f**2 - 23*f + 24.
3*(f - 3)**2
Factor -117*s**2 + 68*s + 9*s**3 + 38 - 20*s + 58*s**2 + 2*s**2 + 22.
3*(s - 5)*(s - 2)*(3*s + 2)
Let f(j) be the third derivative of 0 + 0*j + 1/90*j**5 + 27*j**2 + 9*j**3 + 1/2*j**4. Factor f(i).
2*(i + 9)**2/3
Suppose -24 = -5*o + 2*q, o = -3*q - 4 + 2. Factor -10*d**o + 25/3*d**5 - 11/3*d**3 + 4*d**2 + 0 + 4/3*d.
d*(d - 1)**2*(5*d + 2)**2/3
Let f(w) be the third derivative of -13*w**7/42 + 19*w**6/24 + 5*w**5/3 - 5*w**4/2 + 6*w**2 - 19*w. Find n, given that f(n) = 0.
-1, 0, 6/13, 2
Let y(z) be the first derivative of 10*z**2 - 20*z - 14*z**3 + 24*z + z**2 - 10. What is q in y(q) = 0?
-1/7, 2/3
Let z(f) be the first derivative of -8*f**3/27 + f**2/3 + 14*f/9 + 134. Suppose z(g) = 0. Calculate g.
-1, 7/4
Let q(m) be the third derivative of 0*m - 24*m**3 + 0 - 1/15*m**5 - 16*m**2 - 2*m**4. Solve q(s) = 0 for s.
-6
Let w = 403 - 258. Let q be w/40 - 6/(-16). Solve -3*z + 19*z - q*z**2 - 1 - 3 - 12 = 0.
2
Let t(n) = -7*n**3 - 3*n**2 - 5. Let w(m) = -m**3 - 17*m**2 - 5. Let f be w(-17). Let i(p) = 10*p**3 + 5*p**2 + 7. Let r(d) = f*i(d) - 7*t(d). Solve r(q) = 0.
-4, 0
Let b(y) be the second derivative of y**7/105 - y**6/15 + 3*y**5/50 + 3*y**4/10 + 16*y - 2. Determine h, given that b(h) = 0.
-1, 0, 3
Let w(m) be the second derivative of m**6/6 + 5*m**5/4 - 110*m**4/3 + 520*m**3/3 + 73*m. Suppose w(q) = 0. Calculate q.
-13, 0, 4
Let l = 43541/9070 + -1/1814. Determine a, given that -9/5*a**4 - 138/5*a**3 + 0 - 12/5*a**2 + l*a + 27*a**5 = 0.
-2/3, 0, 2/5, 1
Let a(j) = j**2 + j - 1. Let u(t) = 2*t**5 - 8*t**3 - 4*t**2 - 4*t + 4. Let k(z) = 4*a(z) + u(z). Factor k(y).
2*y**3*(y - 2)*(y + 2)
Let d(t) be the second derivative of 0 - 5/16*t**4 - 7/8*t**3 - 9/8*t**2 + 3*t - 3/80*t**5. Factor d(s).
-3*(s + 1)**2*(s + 3)/4
Let f(h) be the first derivative of 2*h**5/65 - 100*h**3/39 + 1250*h/13 - 193. Let f(i) = 0. Calculate i.
-5, 5
Let x(y) = -y + 3. Let l be x(7). Let q be (-3)/6*(2 + l). Let k(n) = -n**2 - 1. Let m(w) = w - 3. Let p(c) = q*k(c) - m(c). Factor p(h).
-(h - 1)*(h + 2)
Let t(m) be the first derivative of 5*m**4/12 + 5*m**3/2 - 3*m + 14. Let q(j) be the first derivative of t(j). Factor q(n).
5*n*(n + 3)
Let y(b) = 2*b**3 + 6*b**2 + 5*b - 8. Let r(q) = q**3 + 8*q**2 - 7*q + 19. Let f be r(-9). Let h(o) = -o. Let m(l) = f*y(l) + 5*h(l). Factor m(u).
2*(u - 1)*(u + 2)**2
Find l, given that 12/5*l**2 - 6/5*l**3 + 0 + 0*l = 0.
0, 2
Let i(h) be the second derivative of -1/42*h**4 + 10/21*h**3 - 25/7*h**2 - 5*h + 0. Factor i(w).
-2*(w - 5)**2/7
Let w(t) be the first derivative of -2*t**5/115 - 33*t**4/46 - 118*t**3/23 + 1577*t**2/23 - 4332*t/23 + 445. Find r, given that w(r) = 0.
-19, 2, 3
Let q(i) = -i**2 + 23*i - 99. Let g be q(17). Factor 27/4*m**2 + 3/4*m**g + 45/4*m - 75/4.
3*(m - 1)*(m + 5)**2/4
Let k = 56 + -52. Let 3*b**k - 2*b**4 - 5*b**3 + 10*b**2 - 6*b**4 = 0. What is b?
-2, 0, 1
Let w(j) = 7*j**3 - 20*j**2 - 4*j + 20. Let n(u) = -13*u**3 + 40*u**2 + 8*u - 40. Let v(s) = 3*n(s) + 5*w(s). Factor v(k).
-4*(k - 5)*(k - 1)*(k + 1)
Let h(w) = 2*w**3 - 1. Let l(q) = 7*q**3 + 75*q**2 + 315*q + 244. Let o = 63 + -62. Let s(y) = o*l(y) - h(y). Determine t so that s(t) = 0.
-7, -1
Let w be (-3)/5 - (-282)/(-30). Let r be (63/42)/(w/(-12)). Factor -9/5*f**3 - 6/5 + 6/5*f**2 + r*f.
-3*(f - 1)*(f + 1)*(3*f - 2)/5
Determine p so that -1323/5 - 3/5*p**2 - 126/5*p = 0.
-21
Let t(h) be the second derivative of 0*h**3 - 4*h**2 + 23*h + 0 + 1/2*h**4 - 1/10*h**5. Solve t(q) = 0.
-1, 2
Let s(p) be the first derivative of -10 + 0*p + 1/10*p**2 + 1/20*p**4 - 2/15*p**3. Factor s(i).
i*(i - 1)**2/5
Factor -6*w + 1/3*w**2 + 0.
w*(w - 18)/3
Let p be (-8)/28 - 86/(-7). Let k(z) = z**2 - 12*z + 2. Let w be k(p). Factor 0*o**5 - 6*o**4 - w*o**5 - 3*o**2 - o**5 - 9*o**3 - 3*o**4.
-3*o**2*(o + 1)**3
Let u be (-20)/(-40)*(-1 - (-15)/9). Let o(c) be the first derivative of -1/3*c**2 + u*c**3 - 1/6*c**4 + 1/6*c + 2 + 1/30*c**5. What is n in o(n) = 0?
1
Let y(b) = 9*b**3 - 21*b. Let d(p) = 10*p**3 - 22*p. Let v(c) = -5*d(c) + 6*y(c). Factor v(i).
4*i*(i - 2)*(i + 2)
Let r(b) = -26*b + 104. Let k be r(4). Let g(v) be the first derivative of 0*v + 0*v**2 + k*v**3 - 5 - 1/18*v**4 + 2/45*v**5. Factor g(t).
2*t**3*(t - 1)/9
Let r(n) be the second derivative of n**5/60 + n**4/18 + n**3/18 + 26*n - 1. Let r(l) = 0. Calculate l.
-1, 0
Let q(y) be the third derivative of y**9/10080 - y**8/1120 + y**7/336 - y**6/240 + y**4/4 + 6*y**2. Let g(h) be the second derivative of q(h). Factor g(z).
3*z*(z - 2)*(z - 1)**2/2
Let t = 14117/3 + -4779. Let u = -73 - t. Factor n**3 + 1/3*n**2 - 2/3 + u*n**4 - n.
(n - 1)*(n + 1)**2*(n + 2)/3
Suppose 0 = 30*z - 140 - 190. Let r(v) be the second derivative of 0*v**3 + 4/3*v**4 - z*v + 0*v**2 + 2/3*v**6 - 8/5*v**5 - 2/21*v**7 + 0. Factor r(q).
-4*q**2*(q - 2)**2*(q - 1)
Let r be 12/(-10)*60/18 - -8. Suppose 3*u - 4*u + 5 = x, 0 = -u + r*x - 5. Factor 2/3 + 2/3*n**2 - 5/3*n + 1/3*n**5 - 4/3*n**4 + 4/3*n**u.
(n - 2)*(n - 1)**3*(n + 1)/3
Let c(v) be the second derivative of v**4/6 + 10*v**3/3 - 39*v**2 + 119*v. What is s in c(s) = 0?
-13, 3
Let i(a) be the second derivative of 0 - 1/60*a**5 + 1/9*a**3 + 0*a**2 - 1/36*a**4 - 9*a. Find o, given that i(o) = 0.
-2, 0, 1
Let i be (-81)/(-162) - (2/(-4) - -1). Factor -1/3*g**2 + 2/3*g**3 + 1/3*g**4 + i - 2/3*g.
g*(g - 1)*(g + 1)*(g + 2)/3
Let h(v) be the second derivative of v**5/210 - 4*v**4/63 + 19*v**3/63 - 4*v**2/7 + 50*v. Factor h(k).
2*(k - 4)*(k - 3)*(k - 1)/21
Let i = 18625/11 + -1695. Let p = i + 73/22. Let -p*y + 1 + 1/2*y**2 = 0. What is y?
1, 2
Let b(p) = -p**2 - 2*p + 4. Let i(h) = -2*h - 1. Let j(o) = 3*b(o) - 15*i(o). Factor j(m).
-3*(m - 9)*(m + 1)
Let c be (1 + 717/(-120) - 2) + 7. Let v(y) be the third derivative of -3/4*y**3 - c*y**5 + 0*y - 3/16*y**4 - 1/720*y**6 + 0 + 8*y**2. Factor v(t).
-(t + 3)**3/6
Suppose 4*g + 6*n = n + 33, -g - n = -7. Suppose 3 = -5*u + 13. Factor -5*m + 7*m + 2*m**u - g*m**3 - 8 + 6*m + 0*m**2.
-2*(m - 2)*(m - 1)*(m + 2)
Let j(i) = 2*i**2 - 14*i + 8. Let y be (7 + 0 - 1) + -5. Let v(d) = -1. Let k(h) = y*j(h) + 8*v(h). Factor k(l).
2*l*(l - 7)
Factor -12*o - 84 + 42*o - 3*o**3 + o**2 + 11*o**2 - 3*o + 48*o.
-3*(o - 7)*(o - 1)*(o + 4)
Let q(u) be the first derivative of -u**4/14 + 20*u**3/21 + 17*u**2/7 - 132*u/7 - 293. Factor q(a).
-2*(a - 11)*(a - 2)*(a + 3)/7
Let c = -30 + 58. Determine w so that 3*w**3 + 2*w**3 - 18 + 18*w**4 + 15*w**2 - 25*w - 23*w**4 + c = 0.
-2, 1
Let r(l) be the first derivative of l**5/160 + l**4/32 - 3*l**3/16 - 15*l**2/2 + 3. Let u(h) be the second derivative of r(h). Let u(n) = 0. Calculate n.
-3, 1
Let d(k) be the first derivative of k**9/7560 - k**8/4200 + 4*k**3 + 7. Let l(w) be the third derivative of d(w). Factor l(x).
2*x**4*(x - 1)/5
Suppose 21*b + 6*b - 483 + 402 = 0. Find t such that -1/2 - 9/4*t + 9/4*t**b + 1/2*t**2 = 0.
-1, -2/9, 1
Suppose 0 = -2*u - 3*l + 18 - 3, 5*l = 2*u + 9. Solve -2 + 20*r**u - 26*r + 9*r + 11*r + 12*r**2 + 18*r**5 - 42*r**4 = 0 for r.
-1/3, 1
Let p be ((-4)/(-3))/(117/27 - 4). Let d(a) be the second derivative of -2/33*a**3 + 0*a**2 + 5/66*a**p + 0 + 4*a. Determine n, given that d(n) = 0.
0, 2/5
Let x = 8 - 31/4. Let i(q) be the first derivative of -1/15*q**3 + x*q**4 + 3 + 0*q - 1/10*q**2 - 3/25*q**5. Factor i(w).
-w*(w - 1)**2*(3*w + 1)/5
Let h(j) be the third derivative of j**8/10080 - j**7/378 - j**4/24 - 19*j**3/6 + 10*j**2 - 1. Let f(l) be