*z.
2*z**2*(z + 1)*(z + 2)
Let q(c) be the second derivative of 7*c**5/30 + 10*c**4 + 308*c**3/3 - 3136*c**2/3 - 88*c - 1. Suppose q(d) = 0. What is d?
-14, 16/7
Let l be ((-1)/10)/(-1)*746. Let s = -1069/15 + l. Factor 2/15*m**2 + s + 4/3*m.
2*(m + 5)**2/15
Let s(r) be the third derivative of 1/336*r**8 - 4/3*r**3 + 0 + 2/15*r**6 + 1/21*r**7 - 17/24*r**4 + 0*r - 1/30*r**5 - 166*r**2. What is b in s(b) = 0?
-8, -1, 1
Let b = -12 + -66. Let u = 82 + b. Factor -2 + u + 8 + 0*t + 2*t**2 + 12*t.
2*(t + 1)*(t + 5)
Let o(f) be the second derivative of f**4/12 + 37*f**3/3 - 75*f**2/2 - 488*f. Suppose o(y) = 0. What is y?
-75, 1
Suppose -y = -14*m + 13*m, 0 = -4*y - m + 20. Suppose 0*g - 5*d - 3 = -y*g, 2*g = d + 3. Factor 0*f**3 - 1/4*f**5 - 3/4*f**4 + 0*f + 0*f**g + 0.
-f**4*(f + 3)/4
Let f be (-1495)/(-345) + 1165/(-57) - -18. Factor 0 - 2/19*y**3 + 14/19*y**2 + f*y.
-2*y*(y - 9)*(y + 2)/19
Let t = 2214 - 24336/11. Let i be (-891)/(-121) + -6 + 3. Factor 16/11*n**3 - 4*n**2 - t - 2/11*n**4 + i*n.
-2*(n - 3)**2*(n - 1)**2/11
Let y(f) be the first derivative of f**3 - 42*f**2 - 864*f + 4681. What is x in y(x) = 0?
-8, 36
Let f be 2 - -183*(1 - 0). Factor f*x + 60*x**2 + 61*x**3 - 211 - 3*x**4 - 41*x + 19 - 70*x**3.
-3*(x - 4)*(x - 1)*(x + 4)**2
Let g be (-28)/(-49) - 357/(-147). Let q(r) be the second derivative of 1/15*r**g - 2*r + 0 + 3/10*r**2 - 1/60*r**4. Factor q(p).
-(p - 3)*(p + 1)/5
Let p(j) be the second derivative of j**7/3360 - 19*j**6/960 + 113*j**4/4 + 3*j + 8. Let x(q) be the third derivative of p(q). Factor x(s).
3*s*(s - 19)/4
Let x = 8433 - 8416. Let l(y) be the second derivative of 0 + 10/27*y**3 + 1/27*y**4 - x*y + 8/9*y**2. What is t in l(t) = 0?
-4, -1
Suppose 47*w - 49*w = 2, 5*v + 3*w = 7*w + 214. Factor v*f - 18*f**2 - 49/2.
-(6*f - 7)**2/2
Let l(h) = 43*h**2 + 18215*h - 14027053. Let f(x) = -12*x**2 - 6078*x + 4675684. Let q(o) = -14*f(o) - 4*l(o). Factor q(p).
-4*(p - 1529)**2
Let m be ((-15)/9)/((-75)/30). Suppose -m*c + 0 + c**2 = 0. Calculate c.
0, 2/3
Factor 0*j**3 + 17*j**3 - 1884304*j - 3544820 - 22*j**3 + 8415*j**2 - 3156735*j + 1504639*j.
-5*(j - 842)**2*(j + 1)
Let p(c) be the third derivative of -5/24*c**4 + 1/12*c**5 + 3*c**2 - 5/3*c**3 + 0*c + 22. Factor p(u).
5*(u - 2)*(u + 1)
Let c = 127 - 139. Let m be 1*c/9*99/(-330). Factor 4/5 - m*o - 2/5*o**2.
-2*(o - 1)*(o + 2)/5
Suppose -39*a + 10580 = -59*a. Let j = 531 + a. Let 0 + 2/11*u**j + 0*u = 0. What is u?
0
Let g(c) be the second derivative of -c**4/32 + 1145*c**3/8 - 3933075*c**2/16 - 3118*c. Suppose g(m) = 0. Calculate m.
1145
Let f(r) be the first derivative of -33/4*r**2 - 1/6*r**3 - 16*r - 27. Factor f(y).
-(y + 1)*(y + 32)/2
Let u(t) be the third derivative of -t**6/60 + 3*t**5/8 - 27*t**4/8 + 15*t**3/2 + 138*t**2. Let i(x) be the first derivative of u(x). Factor i(h).
-3*(h - 3)*(2*h - 9)
Let h(x) be the second derivative of x**4/72 - 25*x**3/18 - 18*x**2 - 1119*x. Factor h(t).
(t - 54)*(t + 4)/6
Let z be 5 - ((-123)/82)/(35/(-98)). Determine v, given that -8/5*v**2 + 32/5 - z*v**5 + 28/5*v**3 - 48/5*v + 0*v**4 = 0.
-2, 1, 2
Suppose 8*y**2 + y**3 - 17*y**2 + 6461*y + 113*y**2 + 50273 + 48*y**2 + 137 = 0. Calculate y.
-71, -10
Let t(d) be the third derivative of -d**8/252 + 8*d**7/7 - 2699*d**6/30 - 538*d**5/45 + 1330*d**4 + 3600*d**3 + 137*d**2 + d. Let t(l) = 0. Calculate l.
-1, 2, 90
Suppose 0 = -5*d + 5*s - 2225, -353 = d - 3*s + 92. Let k = 445 + d. Factor 0 + 10/13*z**3 + 4/13*z**2 + k*z.
2*z**2*(5*z + 2)/13
Let w(y) be the second derivative of 0*y**2 - 11/12*y**4 + 4/3*y**3 + 0 + 71/60*y**6 - 15/8*y**5 + 85*y + 5/42*y**7. Determine d, given that w(d) = 0.
-8, -1/2, 0, 2/5, 1
Let w be (-2 + 45)/(-9 - -10). Suppose 0 = -2*v + 41 + w. Factor 7*d**2 - v + 14*d**2 + 32 + 4*d**2 + 15*d.
5*(d + 1)*(5*d - 2)
Factor 0*s - 1/3*s**4 + 0 + 0*s**2 - 118/3*s**3.
-s**3*(s + 118)/3
Find x, given that 52/7*x**2 + 50/7 - 101/7*x - 1/7*x**3 = 0.
1, 50
Suppose -14*m + 37 - 9 = 0. Determine h, given that 4*h**m - 22*h - 59*h - h**2 = 0.
0, 27
Let t(g) be the first derivative of g**5/40 - g**4/12 + g**3/12 - 5*g - 36. Let u(x) be the first derivative of t(x). Solve u(b) = 0.
0, 1
Let t = -4/51725 - -3621698/12258825. Let r = 3/79 + t. Factor -1/3 + r*j**3 + j - j**2.
(j - 1)**3/3
Let u(s) be the third derivative of 2*s**7/735 + 38*s**6/105 - 47*s**5/21 + 79*s**4/21 - 5088*s**2. Suppose u(z) = 0. What is z?
-79, 0, 1, 2
Let z = 108/83 - 457/415. Let c(n) be the first derivative of 8*n + 10 - 6*n**2 + 2/3*n**3 - z*n**5 + 3/4*n**4. Factor c(o).
-(o - 2)**2*(o - 1)*(o + 2)
Suppose 2419*i - 4*p - 20 = 2417*i, -4*p = 3*i + 20. Factor i*h - 4/7 + 4/7*h**2.
4*(h - 1)*(h + 1)/7
Suppose 43*g = 48*g - 15. What is o in 5*o - 9*o**3 + 5*o**5 + 40*o**2 - 20*o**4 - 30 - 45 - o**g + 55 = 0?
-1, 1, 4
Determine f so that -13/4*f + 34 - 1/8*f**2 = 0.
-34, 8
Let t = 50 - 56. Let o be (2 - 23/3)/(t/36). Let 48*d**4 + 0*d**5 + 20*d**5 + 80*d**3 - 10*d + o*d**4 - 7*d**4 + 15*d**2 = 0. What is d?
-2, -1, 0, 1/4
Let t be (-48)/312 - 446/(-26). Let w be (5 + t/(-4))*14/3. Factor 0 - 1/2*h**2 + w*h.
-h*(h - 7)/2
Let i(q) be the second derivative of 62*q + 0*q**4 + 1/20*q**5 + 0 + 3*q**2 - 7/6*q**3. Let i(n) = 0. What is n?
-3, 1, 2
Suppose 0 = y - 3, -40*p + 35*p + y = -22. Let z(d) be the second derivative of 0*d**2 + 1/30*d**p - 1/9*d**3 + 0 - 10*d + 0*d**4. Suppose z(i) = 0. What is i?
-1, 0, 1
Let w = -8 + 13. Suppose -3*c = c, -w*b + 15 = c. Let z(n) = -5*n**3 + 3*n**2 - 8. Let u(h) = -2*h**3 + h**2 - 3. Let d(o) = b*z(o) - 8*u(o). Factor d(x).
x**2*(x + 1)
Let i(c) = c**3 - c**2 + c - 1. Let j(v) = -8*v**3 + 18*v**2 + 47*v + 3. Let x be 3*7/28*4. Let p(m) = x*i(m) + j(m). Determine b, given that p(b) = 0.
-2, 0, 5
Let d(o) be the second derivative of 5*o**7/42 - 13*o**6/6 - 17*o**5/4 + 205*o**4/12 + 40*o**3/3 - 70*o**2 + 4*o + 96. Suppose d(v) = 0. Calculate v.
-2, -1, 1, 14
Let p = -11913/4 - -2979. Let i(x) be the first derivative of 9/4*x - p*x**2 - 1/4*x**3 + 33. Let i(s) = 0. Calculate s.
-3, 1
Let r = 42927/86 + -32079309/64414. Let v = r - -1/107. Factor 0 + v*c + 4/7*c**2.
4*c*(c + 2)/7
Suppose 6963 = 2019*k + 302*k. Factor 2/15*a**k + 16/5 - 38/15*a - 4/5*a**2.
2*(a - 8)*(a - 1)*(a + 3)/15
Factor 0*a**2 + 1/6*a + 0 - 1/6*a**3.
-a*(a - 1)*(a + 1)/6
Suppose -8/3*q**2 + 17/3*q**3 - 10/3*q**4 + 1/3*q**5 + 0*q + 0 = 0. What is q?
0, 1, 8
Let t(x) be the first derivative of x**4/16 + x**3/6 + 102. Determine v, given that t(v) = 0.
-2, 0
Let l(f) = 7*f**3 - 5*f**2 + 3*f - 6. Let n be l(3). Let t be ((-4)/(-12))/((-7)/n) + 9. Determine s so that -2/11 - 2/11*s**3 - 6/11*s - 6/11*s**t = 0.
-1
Let n(t) be the first derivative of -t**4/4 - 15*t**3/2 - 133*t - 139. Let w(d) be the first derivative of n(d). Determine j, given that w(j) = 0.
-15, 0
Factor -613978*u + 6*u**3 - 840943*u - 2462508 + 5433*u**2 - 9*u**3 - 1002151*u.
-3*(u - 906)**2*(u + 1)
Let a(c) be the third derivative of c**6/24 + 3445*c**5/12 + 618485*c**4 + 2471070*c**3 + 1464*c**2. Factor a(r).
5*(r + 1)*(r + 1722)**2
Let j(u) = 18*u**2 + 12*u - 12. Let r be j(1). Solve 8 + 212*n + 10 + 4*n**2 - r = 0.
-53, 0
Solve 2/9*d**3 + 14*d - 10/3*d**2 - 98/9 = 0 for d.
1, 7
Let x(b) = -18*b**3 + 2026*b**2 + 4096*b. Let w(n) = 2*n**3 - 225*n**2 - 455*n. Let p(a) = -28*w(a) - 3*x(a). Determine r so that p(r) = 0.
-2, 0, 113
What is b in -95*b**2 - 30 - 104*b**2 + 272*b**2 - 68*b**2 - 5*b = 0?
-2, 3
Let m = 145 + -148. Let a be (82/20 - 5)/(m/2). Factor -3/5*r**3 + 0 + 0*r + 0*r**2 + a*r**4.
3*r**3*(r - 1)/5
Suppose 8*y + 10 = 13*y - 2*d, 0 = -4*y + 4*d + 8. Suppose -y*v + 2*f = -12, v + f = -6 + 4. Factor -5/3*z**v - 35/3 + 40/3*z.
-5*(z - 7)*(z - 1)/3
Factor 1428/5 + 3/5*w**2 - 1431/5*w.
3*(w - 476)*(w - 1)/5
Let r(f) be the third derivative of 623*f**5/30 + 207*f**4/4 - 2*f**3/3 - 94*f**2 - 24. Factor r(m).
2*(m + 1)*(623*m - 2)
Let j = 1/18641 + -9339146/93205. Let z = -99 - j. Let 18/5*s + 2/15*s**3 - z*s**2 - 18/5 = 0. Calculate s.
3
Let o(n) = -17*n**2 - 3343*n - 2897. Let w(j) = -6*j**2 - 1128*j - 966. Let p(x) = -4*o(x) + 11*w(x). Let p(s) = 0. Calculate s.
-481, -1
Let j(w) = -w**5 + w**2 + 2*w + 1. Let z(x) = -16 + 7*x**5 + 2*x**5 - 3*x**4 - 16*x - 13*x**2 + 22 - 14 - 9*x**3. Let c(m) = 40*j(m) + 5*z(m). Factor c(v).
5*v**