of 0 + 1/36*k**3 - 1/72*k**5 + 1/36*k**4 - t*k**2 + 0*k. Determine m so that s(m) = 0.
-1/5, 1
Suppose -14 = -h + 4*f + 1, 0 = -3*h - 5*f + 96. Let j be 6/h + 238/630. Factor -j*o - 6/5*o**2 - 3/5*o**3 + 0.
-3*o*(o + 1)**2/5
Suppose 0 = 2*r - 38*b + 36*b + 8, 0 = 3*r + 5*b - 52. Solve 0 + 4/3*h**3 - 4*h**r + 4/3*h**5 - 8/3*h + 4*h**2 = 0 for h.
-1, 0, 1, 2
Let m(k) be the second derivative of k**6/285 + k**5/38 - k**4/57 + 23*k**2 - 201*k. Let b(f) be the first derivative of m(f). Find s such that b(s) = 0.
-4, 0, 1/4
Let n(o) be the first derivative of 2*o**3/9 - 2444*o**2/3 + 2986568*o/3 + 2766. Solve n(y) = 0.
1222
Let p(i) = -i**2 + 2604*i - 5253. Let r(z) = 4*z**2 - 9548*z + 19262. Let v(s) = -26*p(s) - 7*r(s). Factor v(c).
-2*(c - 2)*(c + 436)
Let 11 + 28 + 144*a**2 + 109 + 276*a - 12 + 4*a**3 = 0. Calculate a.
-34, -1
Let z(g) be the first derivative of 5/3*g**3 + 80*g - 78 + 25*g**2. Factor z(u).
5*(u + 2)*(u + 8)
Factor -7/4*h**2 + 27 + 21/2*h - 1/8*h**3.
-(h - 6)*(h + 2)*(h + 18)/8
Let y = 25813/18 + -1434. Let x(d) be the second derivative of -3*d + 0 + 2/9*d**3 + y*d**4 - d**2. Suppose x(l) = 0. Calculate l.
-3, 1
Determine m, given that 0 + 320/7*m - 2/7*m**3 + 318/7*m**2 = 0.
-1, 0, 160
Let m be (-240)/(-50) + (-1)/(-5). Let c be ((-3)/(-6))/((-9)/(-36)). Factor 13*i - 208*i**c + 72 - 94*i**4 + 224*i**3 + 19*i - 17 + 14*i**m - 23.
2*(i - 2)**3*(i - 1)*(7*i + 2)
Let v(t) be the third derivative of t**6/72 + 17*t**5/90 - 49*t**4/18 + 12*t**3 - 2*t**2 + 225*t + 19. Factor v(r).
(r - 2)**2*(5*r + 54)/3
Let b be -4 - 238/(-63) - (-6)/27. Let w(y) be the third derivative of -7*y**2 + 0*y - 1/24*y**3 + b + 3/40*y**6 - 11/80*y**5 + 5/48*y**4. Factor w(m).
(3*m - 1)**2*(4*m - 1)/4
Let q = 6268 - 263255/42. Let o(d) be the second derivative of 1/18*d**4 + 0*d**2 + 0 + 4/45*d**6 - 7/60*d**5 + 0*d**3 - q*d**7 + 14*d. Factor o(s).
-s**2*(s - 1)**2*(3*s - 2)/3
Factor -23/4*w - 105 + 1/4*w**2.
(w - 35)*(w + 12)/4
Let v be 8 + (-8 - -15) + -13. Find d, given that -20*d + 4*d**3 - 22 - 14*d**2 + 30*d**v - 12*d**2 + 34 = 0.
-3, 1
Let j be (15104/(-144))/16 + 7. Let a(d) be the third derivative of 0 - j*d**3 - 38*d**2 + 2/45*d**5 + 0*d + 1/18*d**4 - 1/90*d**6. Solve a(i) = 0.
-1, 1, 2
Let y = 14/1795 + 1711/10770. Let p(t) be the first derivative of -17 + y*t**3 - 3*t + 5/4*t**2. Factor p(w).
(w - 1)*(w + 6)/2
Factor 2/5*q**2 - 262/5*q + 0.
2*q*(q - 131)/5
Let r(o) = -o**2 + 20*o - 79. Let z be r(14). Suppose -45*n = z*t - 43*n + 10, 0 = 5*n + 25. Factor -2/7*g**2 - 2/7*g + t.
-2*g*(g + 1)/7
Let w(l) be the third derivative of 40/3*l**3 + 1/24*l**7 + 0 - 11/12*l**5 + 14*l**2 + 1/24*l**6 - 5/3*l**4 + 5/1344*l**8 + 2*l. Suppose w(f) = 0. Calculate f.
-4, -2, 1, 2
Let i be 74/8 - 6/(-6 - -18). Suppose 0 = -4*h - 32, 4*y + 2*h - 7 = -11. Let 3*v - i*v**2 - 1/4*v**4 - y*v**3 + 9 = 0. What is v?
-6, -1, 1
Let m be 9/18 + 333/(-6). Let a = m - -57. Factor -3*t**5 - a - 15*t**4 - 2*t**5 + 2.
-5*t**4*(t + 3)
Let y(d) = 24*d**2 + 604*d + 26. Let w(z) = 11*z**2 + 304*z + 12. Let r(n) = 13*w(n) - 6*y(n). Solve r(b) = 0 for b.
0, 328
Let -287*k**3 + 305*k - 1225 + 282*k**3 + 30*k**2 + 175 = 0. Calculate k.
-7, 3, 10
Let -445*l**3 + 3*l**2 + 22*l**2 + 465*l**3 - 5*l**4 = 0. What is l?
-1, 0, 5
Find r such that -1/4*r**2 - 413*r - 170569 = 0.
-826
Let h(a) = 24*a**3 - 1128*a**2 - 2324*a - 1180. Let z(w) = 23*w**3 - 1128*w**2 - 2322*w - 1177. Let u(k) = 3*h(k) - 4*z(k). Let u(g) = 0. Calculate g.
-1, 292/5
Let w = -3531 - -3541. Let d(y) be the first derivative of -2/55*y**5 - 14/33*y**3 - 5/22*y**4 - 3/11*y**2 + w + 0*y. Let d(u) = 0. Calculate u.
-3, -1, 0
Let q(k) be the third derivative of k**5/12 + 65*k**4/12 - 45*k**3/2 + 105*k**2 - 5. Factor q(z).
5*(z - 1)*(z + 27)
Let m(z) be the second derivative of -z**6/90 - 631*z**5/60 - 7385*z**4/2 - 521850*z**3 - 1543500*z**2 + 325*z. Suppose m(j) = 0. What is j?
-210, -1
Let s = 1433956 + -7169756/5. Let 12/5 - s*w**3 - 27/5*w**2 + 24/5*w + 3*w**4 = 0. Calculate w.
-1, -2/5, 1, 2
Let s(v) be the second derivative of -v**6/40 - 123*v**5/80 - 2*v**4 + 83*v**3/2 + 180*v**2 - 412*v. Find i, given that s(i) = 0.
-40, -2, 3
Factor -1281*n + 504 - 44*n**3 + 266*n**2 + 26*n + 631*n + 2*n**4.
2*(n - 14)*(n - 3)**2*(n - 2)
Let b = 28 - 960. Let v = -3717/4 - b. Factor -1/4*t**3 + 3/2 + 3/2*t**2 - v*t.
-(t - 3)*(t - 2)*(t - 1)/4
Let i(o) be the second derivative of o**7/420 + o**6/240 - o**5/30 - o**4/12 - 80*o**2 + 5*o + 3. Let d(q) be the first derivative of i(q). Factor d(c).
c*(c - 2)*(c + 1)*(c + 2)/2
Let r(k) = 2*k**2 - 1. Let d be 0 - -2 - (6/(-3) + -20). Let i = d + -23. Let z(o) = 45*o**2 + 111*o + 18. Let s(j) = i*z(j) - 12*r(j). Let s(x) = 0. What is x?
-5, -2/7
Let n be 15*7/21 - -116. Factor n*m - 10*m**2 + 18 + 16 + 17*m**2.
(m + 17)*(7*m + 2)
Let l(p) = -p**3 + 5*p**2 + 15*p + 1. Let x be (-1)/(-3) - (-320)/48. Let a be l(x). Solve -2*g**3 + 5*g**3 + a*g + 16 - 29*g**2 - 2*g**3 + 22*g**2 = 0 for g.
-1, 4
Find v such that -590*v**2 - 546 + 392*v + 634*v**2 + 66 = 0.
-10, 12/11
Solve 24*j + 8/3*j**5 + 0 + 260/3*j**2 + 280/3*j**3 + 100/3*j**4 = 0 for j.
-9, -2, -1, -1/2, 0
Let n = 521744/66003 + -2/22001. Let g = n + -160/21. Factor 2/7*p + g*p**4 - 3/7*p**3 - 3/7*p**2 + 0.
p*(p - 2)*(p + 1)*(2*p - 1)/7
Suppose 5*c - 3*r = 511, -63 = -2*c + 2*r + 139. Let g = c + -101. Suppose -2/3 + a + 0*a**2 - 1/3*a**g = 0. What is a?
-2, 1
Let i be (-54)/(-30) + 1416/(-720) + (-2)/(-12). Determine y, given that -3/7*y**2 - 72/7*y + i = 0.
-24, 0
Let l(c) be the second derivative of -c - 11 + 1/60*c**4 + 16/5*c**2 + 3/5*c**3. Factor l(k).
(k + 2)*(k + 16)/5
Let a = -674/125 + 8566/1125. Let -4/9*x**3 - a*x - 32/9*x**2 + 56/9 = 0. What is x?
-7, -2, 1
Let h(g) = -153*g + 14539. Let v be h(95). Factor 0 + 0*u**2 - 1/2*u**3 + 0*u + 1/2*u**5 + 0*u**v.
u**3*(u - 1)*(u + 1)/2
Let f(t) = 15*t - 12. Let v be f(4). Factor -6 + 19*p**5 + v*p**2 - 7*p**5 + 9*p**5 + p**3 - 3*p + 78*p**4 + 101*p**3.
3*(p + 1)**4*(7*p - 2)
Let s(v) be the first derivative of -5*v**4/4 + 5*v**3 + 405*v**2/2 + 385*v + 2780. Determine j so that s(j) = 0.
-7, -1, 11
Suppose -p - s = -27, 135 = 13*p - 9*p - 5*s. Let k be p/(-180) - ((-4)/(-3) - 2). Solve -k*m - 1/4*m**2 - 1/4 = 0 for m.
-1
Suppose -26*w + 23*w + 4*h = 11, 4*w = 5*h - 13. Suppose -1/6*q**w - 1/6*q**2 + 1/6 + 1/6*q = 0. Calculate q.
-1, 1
Suppose -4*d - 5*c = -8, -3*c = -24219*d + 24224*d - 10. Find m, given that -4/11*m - 18/11*m**d + 0 - 14/11*m**3 = 0.
-1, -2/7, 0
Let z(i) = -i**2 + i. Let l(m) = 27*m + 29*m - 57*m. Let j(a) = 2*l(a) - z(a). Determine w, given that j(w) = 0.
0, 3
Suppose 6*s - 40 = 41 - 69. Let z(b) be the first derivative of 40/7*b**s - 4/35*b**5 + b**4 - 32/7*b + 23 - 24/7*b**3. Factor z(h).
-4*(h - 2)**3*(h - 1)/7
Suppose -2*j = 2*b + 372, 380 = b - 3*b + 2*j. Let k = b - -192. Factor -1/4*g**k + 0 - 1/2*g**3 - 1/4*g**2 + 0*g.
-g**2*(g + 1)**2/4
Suppose -19*b + 17*b = 66. Let g = -29 - b. Solve -1 - 7 + g*j**2 - 4 - 4 = 0.
-2, 2
Let w = -805238/3 - -268430. Factor 1/3*x**2 - w - 17*x.
(x - 52)*(x + 1)/3
Let s(v) = v**3 - 15*v**2 + 692*v - 8646. Let h be s(13). Factor 0 + 3/4*b**3 + h*b + 6*b**2.
3*b*(b + 4)**2/4
Let o = 618402 + -618402. Determine n, given that -12/17*n**2 + 12/17*n**4 + 2/17*n**5 + 8/17*n**3 - 10/17*n + o = 0.
-5, -1, 0, 1
Let m(p) = 2*p**5 - 2*p**4 - 46*p**3 + 34*p**2 - 54*p. Let b(z) = z**2 - 5 + 5 + z**3 + 21*z - 20*z. Let f(h) = -44*b(h) - 2*m(h). Determine u so that f(u) = 0.
-4, 0, 1, 2
Let w be ((-24)/(-30))/(4/10). Suppose -a - 16 = -w*a. Factor -101*c**2 + 26*c**2 + 80*c**2 - 20*c**3 + 43*c**2 - a*c.
-4*c*(c - 2)*(5*c - 2)
Let q(k) be the third derivative of -26*k - k**2 - 7/45*k**5 + 0*k**3 - 2/9*k**4 + 0 + 2/315*k**7 - 1/45*k**6. Factor q(s).
4*s*(s - 4)*(s + 1)**2/3
Let o be (1 - (-12502)/(-56))*(51/(-7) - -7). Solve 120*m + 63/2*m**4 + 32 - o*m**2 - 118*m**3 - 2*m**5 = 0 for m.
-1, -1/4, 1, 8
Let i(n) be the third derivative of 13/600*n**6 + 22*n - 7/60*n**4 - 4/15*n**3 + n**2 + 1/300*n**5 + 1/150*n**7 + 1/1680*n**8 + 0. Solve i(z) = 0.
-4, -2, -1, 1
Suppose -v = -5*r + 63, -4*r + 2*r - 3*v = -32. Find h such that r*h - 3*h**4 + 15*h**2 - 12 + 2*h**3 - 11*h**3 + 3*h**5 - 6*h**3 - h = 0.
-2, -1, 1, 2
Factor 95*j - 57*j**3 + 82*j + 67*j**4 - 