ative of -r**4/6 - 3*r**3 + 10*r**2 - r - 25. Solve s(u) = 0.
-10, 1
Factor 0 + 1/5*j**2 + 1/5*j - 1/5*j**3 - 1/5*j**4.
-j*(j - 1)*(j + 1)**2/5
What is j in -16/3*j**2 + 16/3*j**4 + 0 + 28/3*j**3 - 16/3*j - 4*j**5 = 0?
-1, -2/3, 0, 1, 2
Let b(m) = 3*m**2 - 77*m + 52. Let q be b(25). Solve 3/8*s**q - 3/4*s - 9/8 = 0 for s.
-1, 3
Let w(p) be the second derivative of 2*p**7/105 - 2*p**6/25 - p**5/25 + 11*p**4/15 - 8*p**3/5 + 8*p**2/5 + 21*p. Factor w(j).
4*(j - 2)*(j - 1)**3*(j + 2)/5
Determine s so that 16/3 + 20/3*s**2 + 2/3*s**3 + 34/3*s = 0.
-8, -1
Let k(d) = 306*d - 4281. Let f be k(14). Factor p**4 + 2*p**f + 1/2*p + 0 + 5/3*p**2 + 1/6*p**5.
p*(p + 1)**3*(p + 3)/6
Let t be 1/(-3) - (-21)/9. Determine n so that -19*n**2 - 13*n**t + 7*n - 4*n**3 - 71*n = 0.
-4, 0
Factor -1/5*g**4 + 2/5 + 3/5*g - 1/5*g**2 - 3/5*g**3.
-(g - 1)*(g + 1)**2*(g + 2)/5
Factor -1/6*v**3 - 35/6*v + 2*v**2 + 0.
-v*(v - 7)*(v - 5)/6
Determine f so that 4/5 - 3*f + 8/5*f**2 + 3/5*f**3 = 0.
-4, 1/3, 1
Let n = 5366 - 5364. Factor 1/2*g**3 + g**n + 0 + 1/2*g.
g*(g + 1)**2/2
Let l = 1905 + -1903. Solve 10*d + 2/15*d**3 + 2*d**l + 50/3 = 0 for d.
-5
Determine g, given that -39*g**2 - 1 - 14*g + 18*g**2 + 26*g**2 + 10*g**2 = 0.
-1/15, 1
Let h = 3674706/161689 - -4/14699. Factor 120/11*j**2 + h + 16/11*j**3 + 300/11*j.
2*(2*j + 5)**3/11
Let u(c) = -3*c**5 - 4*c**4 - 21*c**3 - 5*c**2 - 5*c - 5. Let o(l) = -2*l**5 - 4*l**4 - 20*l**3 - 4*l**2 - 4*l - 4. Let p(n) = 5*o(n) - 4*u(n). Solve p(r) = 0.
-2, 0, 4
Find n such that 1/7*n**4 - 4/7*n**2 - 3/7*n**3 + 12/7*n + 0 = 0.
-2, 0, 2, 3
Let j = 164/63 + 4/63. Let o be (-9)/(-1) - 13/((-52)/(-16)). Determine p, given that 82/3*p**2 - 30*p**4 - 16*p - 2/3*p**3 + j + 50/3*p**o = 0.
-1, 2/5, 1
Let v(n) be the first derivative of -n**7/2940 + n**5/420 - 3*n**3 - 15. Let a(g) be the third derivative of v(g). Factor a(m).
-2*m*(m - 1)*(m + 1)/7
Let o(v) = 2 + 26*v**2 - 23*v**2 - 3. Let w be o(1). Factor 18 - 7*c + 0*c**w + 2*c**2 - 5*c.
2*(c - 3)**2
Find d such that 12*d**4 + 0*d - 21/4*d**5 + 3/2*d**2 - 33/4*d**3 + 0 = 0.
0, 2/7, 1
Let q = 35 + -33. Let r(o) = 3*o**2 + 85*o + 195. Let s(p) = 2*p**2 + 42*p + 98. Let c(a) = q*r(a) - 5*s(a). Let c(x) = 0. Calculate x.
-5
Let f(m) be the third derivative of -m**7/35 - m**6/30 + 6*m**5/5 + 6*m**4 + 32*m**3/3 + 3*m**2 + 5. Find b such that f(b) = 0.
-2, -2/3, 4
Factor -2/9*m**2 + 2/9*m**3 - 32/9*m - 40/9.
2*(m - 5)*(m + 2)**2/9
Let m(k) = 2*k**2 + 25*k - 297. Let n be m(-20). Solve 3/2 - n*s + 3/2*s**2 = 0 for s.
1
Let b = -34 + 34. Suppose 4 = 2*a - b. Let 0*k - 8/5*k**a - 4/5*k**3 + 0 + 12/5*k**4 = 0. Calculate k.
-2/3, 0, 1
Suppose 23 = 6*z - 13. Let o(u) be the first derivative of 3/10*u**4 - 8/5*u**2 - 2/15*u**3 - z - 8/5*u. Let o(r) = 0. What is r?
-1, -2/3, 2
Let r = 25 - 30. Let y(d) = 8*d**2 - 2*d - 3. Let b(z) = 15*z**2 - 4*z - 6. Let t(w) = r*y(w) + 3*b(w). Factor t(v).
(v - 1)*(5*v + 3)
Let n be (-11)/(-11) - (-80 - -1). Find a, given that -82*a**2 + n + 47*a**2 + 5*a**3 + 39*a + a = 0.
-1, 4
Let d be 3/30*-502*1. Let y = d - -51. Factor -1/5*h**2 + 0*h + y.
-(h - 2)*(h + 2)/5
Let f(a) = a**2 + 11*a + 28. Let l(o) = -3*o**2 - 18*o - 7. Let k be l(-6). Let q be f(k). Factor 3/4*n**2 + 1/4*n + q.
n*(3*n + 1)/4
Let i(y) be the first derivative of -y**5/75 + y**4/60 - 23*y**2/2 + 29. Let d(z) be the second derivative of i(z). Solve d(c) = 0 for c.
0, 1/2
Let z(q) = -87*q + 439. Let g be z(5). Factor -5/2*a**5 - 10*a**2 + 0 - 10*a**g - 15*a**3 - 5/2*a.
-5*a*(a + 1)**4/2
Suppose 4*p - 30 = 2*u, 45 = -u - 5*p - 5. Let r be ((-12)/(-10))/((-20)/u). Factor -r*n**3 + 3 + 0*n**2 + 9/2*n.
-3*(n - 2)*(n + 1)**2/2
Let 56 + 64/7*f**2 + 4/7*f**3 + 44*f = 0. What is f?
-7, -2
Let g(c) be the second derivative of -c**4/48 - 7*c**3/12 - 3*c**2 + 22*c. Factor g(n).
-(n + 2)*(n + 12)/4
Let z(s) be the first derivative of -s**3/7 + 117*s**2/7 - 4563*s/7 - 107. Determine u, given that z(u) = 0.
39
Determine o, given that 5/3*o + 0 - 52/3*o**3 + 7/6*o**2 - 7/2*o**4 = 0.
-5, -2/7, 0, 1/3
Suppose 2*z + 14*z - 80 = 0. Let l(x) be the third derivative of -1/48*x**4 + 1/60*x**z - 1/240*x**6 + 0 + 0*x**3 + 0*x - 3*x**2. Suppose l(b) = 0. Calculate b.
0, 1
Let n be 6/15 + (-52)/(-20). Suppose n*a - 2*z - 2 = 0, -2*z + 20 = 2*z. Factor -7*t**2 + 3*t**2 + 13*t**4 - 9*t**a.
4*t**2*(t - 1)*(t + 1)
Let y be 12*(-36)/135*((-40)/(-22))/(-2). Factor 80/11*q**3 + y*q**4 + 0 - 46/11*q**2 + 6/11*q.
2*q*(q + 3)*(4*q - 1)**2/11
Suppose -2*m = 4*i - 0*i - 4, 5*m = -i + 19. Let v be 4*((-10)/12 - i). What is l in 0*l + 0 + 4/3*l**3 + v*l**2 + 2/3*l**4 = 0?
-1, 0
Suppose 3*l + 8 = 5*l. Factor 11*s**3 - 52*s**2 + 26*s**2 + 28*s**2 + l*s**4 + 5*s**4.
s**2*(s + 1)*(9*s + 2)
Let y(i) = 2*i**3 - 16*i**2 - 65*i - 8. Let f be y(11). Let 2/5*o + 0 + 0*o**2 - 2/5*o**f = 0. Calculate o.
-1, 0, 1
Let z(j) be the second derivative of j**4/16 + 265*j**3/8 - 399*j**2/4 + 81*j + 2. Factor z(t).
3*(t - 1)*(t + 266)/4
Find p such that -1872*p**3 + 3750*p**3 + 36*p - 1880*p**3 + 14*p**2 = 0.
-2, 0, 9
Let i = -156 + 154. Let q be i - (8/(-6) - (-70)/(-105)). Find v, given that -3/2*v**3 + 0 + q*v + 0*v**4 + 1/2*v**5 + v**2 = 0.
-2, 0, 1
Let c(t) be the first derivative of t**6/24 + 7*t**5/20 - 5*t**4/8 - 4*t**3/3 - 790. Factor c(n).
n**2*(n - 2)*(n + 1)*(n + 8)/4
Factor -8*v**4 - 2 - 48*v**3 + 111*v**2 - 78*v + 1 + 17*v**4 + 25 - 18*v**2.
3*(v - 2)*(v - 1)**2*(3*v - 4)
Let y(a) be the first derivative of 4 - 8/9*a**3 - 7/3*a**2 + 4/3*a. Find j, given that y(j) = 0.
-2, 1/4
Let v(x) be the second derivative of -x**4/114 + 6*x**3/19 - 56*x**2/19 - 608*x. Find h such that v(h) = 0.
4, 14
Let j(c) = c**2 - 6*c + 9. Let t be j(3). Let -k - 3*k + t*k + 0*k + 48*k**4 + 32*k**5 - 46*k**3 - 30*k**2 = 0. Calculate k.
-2, -1/4, 0, 1
Let t(q) be the first derivative of -3*q**4/2 + 4*q**3/3 + 7*q**2 + 4*q + 60. Find k such that t(k) = 0.
-1, -1/3, 2
Let a(n) be the first derivative of -22/21*n**3 - 9/35*n**5 + 4/7*n**2 - 8 + 6/7*n**4 - 1/7*n. Factor a(f).
-(f - 1)**2*(3*f - 1)**2/7
Suppose 4*y + 5*r = 28, 0 = -3*y + 5*r - 0*r - 14. Suppose 38 - 81 - 10*u**y - 5*u**3 + 43 = 0. Calculate u.
-2, 0
Let y be (7/14)/((-2)/(-140)). Let l = y - 31. Factor -18*c**l + 6*c**4 + 7*c**4 - 10*c**3 + 15*c**2.
-5*c**2*(c - 1)*(c + 3)
Let n(w) be the first derivative of -2*w**5/35 - 13*w**4/14 - 32*w**3/7 - 68*w**2/7 - 64*w/7 + 70. Let n(l) = 0. What is l?
-8, -2, -1
Let n(f) = 7*f**3 - 44*f**2 + 37*f - 4. Let w(z) = -57*z**3 + 351*z**2 - 294*z + 33. Let a(q) = -33*n(q) - 4*w(q). Factor a(l).
-3*l*(l - 15)*(l - 1)
Let q be ((-4)/(1 - 441))/1. Let l(v) be the second derivative of 1/33*v**4 + 0 + q*v**5 - 4/33*v**3 + v - 8/11*v**2. Factor l(r).
2*(r - 2)*(r + 2)**2/11
Factor -16/5*c**2 + 7/5*c**4 - 2*c**3 + 1/5*c**5 + 0 + 0*c.
c**2*(c - 2)*(c + 1)*(c + 8)/5
Let v(x) be the second derivative of -20/21*x**3 - 3/35*x**6 + 5*x + 0 - 4/7*x**2 - 37/42*x**4 - 3/7*x**5. Solve v(n) = 0.
-1, -2/3
Let b be 8 - 3 - 2/((-8)/(-4)). Let -20*h**2 + h**3 + 15*h + b*h**4 - 7*h - 4*h**5 + 11*h**3 = 0. Calculate h.
-2, 0, 1
Let l(y) be the third derivative of 0*y**3 + 0*y - 1/100*y**6 + 0 + 0*y**4 + 1/1050*y**7 - 48*y**2 + 1/60*y**5. Factor l(d).
d**2*(d - 5)*(d - 1)/5
Let g(n) be the second derivative of 17*n**5/60 - n**4 + 7*n**3/6 - n**2/3 + 2*n + 68. What is b in g(b) = 0?
2/17, 1
Let l(n) = -2*n**2 - 46*n - 84. Let p(c) = 4*c**2 + 92*c + 168. Let r(s) = -5*l(s) - 2*p(s). Factor r(a).
2*(a + 2)*(a + 21)
Let w(b) = -2*b**4 - 4*b - 6 + 3*b + 3 - 3*b**2. Let n(u) = -u**4 - u - 1. Let c(f) = -3*n(f) + w(f). Suppose c(p) = 0. What is p?
-2, 0, 1
Suppose 3*s - 5 = 7. Let g = 7 - 5. Let 0*i**2 + 4*i**2 - 2*i**s + 0*i**2 + i**3 - 2*i**g - i**5 = 0. What is i?
-2, -1, 0, 1
Factor 1/7*l + 0 + 3/7*l**2.
l*(3*l + 1)/7
Let f(a) be the first derivative of 4*a**5/5 + 28*a**4 + 68*a**3 - 56*a**2 - 208*a - 976. Solve f(k) = 0.
-26, -2, -1, 1
Let c be (-140)/25 + 5 + 3/2. Let w(p) be the first derivative of 1/5*p**3 - 3 - c*p**2 + 6/5*p. Solve w(f) = 0.
1, 2
Factor -32/7 + 2*s + 1/7*s**2.
(s - 2)*(s + 16)/7
Let t = -102 - -72. Let f be t/(-9) - 1/3. Suppose -1/2*w**f + 1/2*w**4 - 1 + 5/2*w - 3/2*w**2 = 0. Calculate w.
-2, 1
Solve 99*p + 142*p + 83*p - 3518 - 3*p**2 - 5230 = 0.
54
Let j(u) = 3*u**3 - 9*u**2 - 6