**4/24 + f**3/18 - 11*f**2/12 - 2525. Factor a(t).
-t*(t - 11)*(t - 1)*(t + 1)/6
Let s be 2/(-6) + 91/39. Suppose -11*f**3 + 39*f**3 + 490 - 10*f**2 + 385*f - 23*f**3 + 90*f**s = 0. Calculate f.
-7, -2
Factor 0*h**2 + 10/13*h**4 - 14/13*h**5 + 0 + 4/13*h**3 + 0*h.
-2*h**3*(h - 1)*(7*h + 2)/13
Let o(a) be the second derivative of 21*a**5/80 + 19*a**4/16 - 33*a**3/2 + 27*a**2/2 - 7*a - 149. Solve o(w) = 0.
-6, 2/7, 3
Suppose m + 3 = 0, 3*t + 2*m = t. Suppose 0 = -3*y - 3*l - 2771 + 2711, -2*y + 48 = -2*l. Solve -22/3*x**t + 22/3*x + 8/3 - 5/3*x**4 - x**y = 0.
-4, -1, -2/5, 1
Let m(p) = -2*p**2. Let d = -5 - -5. Suppose -5*a = d, 0*y - 2*y = a - 12. Let j(t) = -2*t**2 + t. Let k(l) = y*j(l) - 7*m(l). Factor k(o).
2*o*(o + 3)
Solve -80/3*d + 2/9*d**3 + 0 - 4/9*d**2 = 0.
-10, 0, 12
Let d be ((3 - 330)*-5)/((-1)/(-1)). Let g be d/(-195) - (1 + -10). Factor -4/13*m**2 - 2/13*m**5 - g*m**4 + 0*m - 10/13*m**3 + 0.
-2*m**2*(m + 1)**2*(m + 2)/13
Suppose 12045 = 26*y - 16633. Let o = -3305/3 + y. Factor 1/3*i**3 + 4/3*i + 0 + o*i**2.
i*(i + 2)**2/3
Let w(p) be the second derivative of -7/2*p**3 + 3*p + 11*p**2 - 1/12*p**4 + 10. Let w(x) = 0. Calculate x.
-22, 1
Let g(c) be the second derivative of -3*c**5/20 - 11*c**4/2 - 65*c**3/2 + 1014*c**2 + 1632*c. Suppose g(q) = 0. What is q?
-13, 4
Let b be (5/((-675)/(-36)))/((-78)/182*14/(-3)). Determine p so that -4/15*p**3 + 2/3*p**4 - 8/15*p**2 - 4/15*p**5 - b + 8/15*p = 0.
-1, 1/2, 1
Let n(k) = -2*k**2 - 17236 + k**2 + k**3 + 17235. Let v(u) = -6*u - 2*u + 0*u - 18*u**2 + 2*u**3 - 6. Let a(p) = -6*n(p) + v(p). Solve a(f) = 0 for f.
-2, -1, 0
Let o(t) be the third derivative of -t**5/60 + 5*t**4/24 - 2*t**3/3 + 710*t**2. Factor o(l).
-(l - 4)*(l - 1)
Let w(z) be the second derivative of -z**7/8820 - z**6/168 - z**5/30 + 11*z**4/2 - 2*z. Let n(j) be the third derivative of w(j). Factor n(l).
-2*(l + 1)*(l + 14)/7
Let b(s) = -s**3 + 2*s**2 - 4*s - 1. Let w be b(-4). Let t = -107 + w. Solve 2/9*h**5 + 0 - 2/3*h + 8/9*h**t - 8/9*h**2 + 4/9*h**3 = 0 for h.
-3, -1, 0, 1
Let g(v) = 2*v**3 - 25*v**2 + 31*v + 10. Let q be g(11). Let r be q/(-30) - (146/(-35) - -4). Factor -4/7*h**3 + 0 + r*h**4 + 0*h + 0*h**2.
4*h**3*(h - 1)/7
Solve 2664*a**3 + 96*a - 2636*a**3 - 4*a**5 + 136*a**2 - 5*a**4 - 11*a**4 = 0.
-4, -2, -1, 0, 3
Let i(n) be the third derivative of -n**6/3420 + 4*n**5/285 - 19*n**3/6 + 12*n**2 + 2. Let s(j) be the first derivative of i(j). Factor s(h).
-2*h*(h - 16)/19
Suppose c - 2*x = 8, -5*x - 13 - 6 = -2*c. Let r = -95047/5 + 19010. Suppose 2/5*h**3 + 4/5*h**4 - 4/5*h**c + 1/5*h**5 - r*h + 0 = 0. Calculate h.
-3, -1, 0, 1
Let z = 36 - 44. Let n = -5 - z. Let 15*g**3 - 26*g**3 + 16*g**n - 10 - 15*g = 0. What is g?
-1, 2
Let s(m) be the third derivative of -m**7/525 + m**6/75 + 22*m**5/75 - 8*m**4/5 - 192*m**3/5 + 538*m**2 + 2*m. Factor s(b).
-2*(b - 6)**2*(b + 4)**2/5
Let a(l) = 9 + 14 - 2*l + l - 9. Let p be a(11). Let s**p - 4*s**2 + 6*s**2 - 6*s**2 + s**3 = 0. What is s?
0, 2
Suppose -o + 12 = -4*x, 0 = o - 10*x + 15*x + 6. Let z be (105/(-14) - -6)/((-2)/o). Suppose -1/3*q**2 + 0*q**z + 0 + 1/3*q**4 + 0*q = 0. Calculate q.
-1, 0, 1
Let y(h) be the first derivative of 231 - 757*h**2 - 9*h**3 + 1500*h**2 - 767*h**2 + 12*h. Suppose y(z) = 0. What is z?
-2, 2/9
Let n(p) be the second derivative of p**7/11340 - p**6/360 + 2*p**5/135 + 95*p**4/12 + 3*p + 12. Let j(m) be the third derivative of n(m). Solve j(s) = 0.
1, 8
Let j = 34077/13630 + -1/6815. Let -3/4*k**3 + 3/4*k**4 - 1/8*k**5 - j*k**2 + 39/8*k - 9/4 = 0. Calculate k.
-2, 1, 3
Let j be (4042/(-235) - -17)*(-180)/14. Let u be 10/(-42) - 4/(-6). Find t, given that u*t**2 + 0 - j*t = 0.
0, 6
Let w(f) = 17*f**2 + 21*f + 19. Let p(g) = -4*g**2 + 14 + 17*g + 18*g**2 + 6 + 3*g. Let z(i) = -5*p(i) + 4*w(i). Let z(r) = 0. What is r?
-6, -2
Let z be (27/(-18))/((-9)/30). Determine t, given that 2*t**3 - t - t**z + 2*t**4 - 5 - 4*t**2 + 13 - 6 = 0.
-1, 1, 2
Let t(p) be the third derivative of p**5/8 - 6583*p**4/16 - 1317*p**3/2 + 2*p**2 + 7*p + 1. Factor t(z).
3*(z - 1317)*(5*z + 2)/2
Let r = -209959 + 209961. Solve 3/4*p**r + 15/4 + 9/2*p = 0 for p.
-5, -1
Let f(y) = 5*y**4 - 45*y**3 - 153*y**2 - 175*y - 72. Let n(w) = -10*w**4 + 90*w**3 + 308*w**2 + 350*w + 142. Let z(a) = -11*f(a) - 6*n(a). Factor z(x).
5*(x - 12)*(x + 1)**3
Let c(t) be the first derivative of -t**3/4 + 462*t**2 - 284592*t - 1061. Factor c(a).
-3*(a - 616)**2/4
Let z(h) be the first derivative of -21*h**4 + 191/7*h**3 - 72/7*h + 9/7*h**5 + 3*h**2 + 165. Suppose z(x) = 0. What is x?
-1/3, 2/5, 1, 12
Let v(z) = z**3 - 25*z + 23. Let s be v(-5). Let y = -3 + 6. Factor 26*d + 22*d - 87 - 12*d**2 + s + d**y.
(d - 4)**3
Factor -11/5*w**3 + 42/5*w + 0 + 229/5*w**2.
-w*(w - 21)*(11*w + 2)/5
Solve 3066363/2 + 1/6*n**2 - 1011*n = 0 for n.
3033
Let a = 219107/9 - 24344. Factor 13/9*h**4 - 2/9*h**2 + 0 + 0*h + a*h**3.
h**2*(h + 1)*(13*h - 2)/9
Let n be 21/77 + 590/660. Solve -n*w + 7/6*w**3 + 1/2*w**2 - 1/2 = 0.
-1, -3/7, 1
Let t = 1206 - 1118. Let q be 0/(t/8 + -10). Determine y so that 0 + q*y**2 - 4/15*y**4 - 16/15*y**3 + 2/15*y**5 + 0*y = 0.
-2, 0, 4
Let q(x) be the first derivative of -14/9*x**3 - 2/3*x**6 + 0*x**2 + 0*x + 5/4*x**4 + 167/15*x**5 - 105. What is p in q(p) = 0?
-1/3, 0, 1/4, 14
Let r be ((-8)/(-4))/4*8/((-8)/(-4)). Find u such that 361/9 + 1/9*u**r - 38/9*u = 0.
19
Let a = -2867/472 + 646/59. Determine b, given that 1/8*b**2 - 5/4*b - a = 0.
-3, 13
Let r(h) = h**2 - 48*h - 45. Let w be r(-1). Let j(q) be the first derivative of -1/24*q**w - 7/6*q + 1/12*q**2 + 7/18*q**3 + 37. Factor j(k).
-(k - 7)*(k - 1)*(k + 1)/6
Let m = -1249 - -1169. Let a be 6/(-16) + (-2270)/m. Find q such that -52/3*q - a*q**4 + 52/3*q**3 + 8/3 + 76/3*q**2 = 0.
-1, 2/7, 1/3, 1
Suppose 359 = -299*r + 957. Factor -104 - 2/13*w**r - 8*w.
-2*(w + 26)**2/13
Let w(a) be the third derivative of 3*a**5/25 - 253*a**4/120 + 7*a**3/30 + 23*a**2 - 66. Determine u, given that w(u) = 0.
1/36, 7
Let s(d) be the first derivative of 3/4*d**4 + 77 + 0*d**2 - 4*d**3 + 0*d. Let s(o) = 0. Calculate o.
0, 4
Let c be ((-4726)/170 - -28)*4. Factor -4/5 + 1/5*t**4 - 4/5*t**3 + 3/5*t**2 + c*t.
(t - 2)**2*(t - 1)*(t + 1)/5
Suppose 2*i - 22605 = -m, -m = m + 10. Solve -i + 12115 + 585*k + 7*k**3 + 100*k**2 - 2*k**3 = 0.
-9, -2
Suppose -h = -3*z + 13, 9 + 2 = z + 3*h. Let t = 620 - 602. Factor -t - 12*x - 6*x**2 - x**2 + z*x**2.
-2*(x + 3)**2
Let j be ((-18130)/(-1554))/(28/6). Let -1/4*x**2 - 9/4 - j*x = 0. What is x?
-9, -1
Let g(x) be the third derivative of x**6/320 - 13*x**5/80 + 5*x**4/8 + 12*x**3 + 974*x**2. What is m in g(m) = 0?
-2, 4, 24
Factor 110*n**2 + 2298 - 2280 + 33*n - 99*n**2 - 5*n**3 - n**4.
-(n - 3)*(n + 1)**2*(n + 6)
Let i(k) be the first derivative of -k**3/12 + 13*k**2/4 - 360. Factor i(h).
-h*(h - 26)/4
Let l be (-965)/2 + 27/18. Let c = 481 + l. Find u, given that 0*u**3 + 2/3*u**2 + 0*u - 1/2*u**4 - 1/6*u**5 + c = 0.
-2, 0, 1
Let p(v) = 14*v**4 + 94*v**3 + 312*v**2 - 8*v + 16. Let w(q) = -5*q**4 - 31*q**3 - 104*q**2 + 3*q - 6. Let i(h) = 3*p(h) + 8*w(h). Factor i(m).
2*m**2*(m + 4)*(m + 13)
Let q(k) be the first derivative of -k**4/54 + 7*k**3/27 - 4*k**2/3 - 58*k - 29. Let h(a) be the first derivative of q(a). Factor h(u).
-2*(u - 4)*(u - 3)/9
Suppose 2181 - 549 = 6*t. Let i be t/(-1292)*(-5)/2. Solve 16/19*g - 2/19*g**5 - 12/19*g**3 + 0 + i*g**4 - 8/19*g**2 = 0.
-1, 0, 2
Suppose -13 = 3*t - 10, -2*g - 4*t = 0. Determine r so that -r**2 - 25*r + 14 + 2*r**g + 6 + 4*r**2 = 0.
1, 4
Let g(r) = 8*r**3 + 187*r**2 - 186*r - 425. Let a(x) = -9*x**3 - 186*x**2 + 183*x + 432. Let b(c) = -5*a(c) - 6*g(c). Solve b(h) = 0.
-65, -1, 2
Factor 3*s**2 + s**3 + 8 - 629*s + 620*s - 3.
(s - 1)**2*(s + 5)
Let h(s) = -4*s**2 + 51*s + 15. Let l be h(13). Let -17443*i + 17291*i + 2888 - 2*i**2 + 4*i**l = 0. What is i?
38
Let y(h) be the second derivative of 3*h**5/80 + 55*h**4/16 + 783*h**3/8 + 2187*h**2/8 + 171*h + 2. What is r in y(r) = 0?
-27, -1
Let j(h) be the first derivative of 9/5*h**2 + h**3 - 3/20*h**4 - 34 + 0*h. Factor j(x).
-3*x*(x - 6)*(x + 1)/5
Factor 1754441*r - 5*r**3 + 144*r**2 - 1754585*r + 9*r**3 - 4*r**4.
-4*r*(r - 6)*(r - 1)*(r + 6)
Let n = 2 + -20/11. Let y be ((17 - 171/(-418)) + -19)*(-56)/10. Solve -28/11*