0. Let j(l) = -16*l**2 + 346*l - 2960. Let g(o) = 11*c(o) + 10*j(o). Find r such that g(r) = 0.
10, 57
Let l = 3921 + -3916. Let b(i) = i**2 - 8*i + 7. Let d be b(8). Factor -l*t + t**2 - d*t - 3 + 17 + 22.
(t - 6)**2
Factor -39/2 + 12*f - 9/8*f**2.
-3*(f - 2)*(3*f - 26)/8
Let o(l) be the second derivative of -67/9*l**3 - 22/3*l**2 - 2 + 139*l - 3/40*l**5 - 35/12*l**4. Let o(x) = 0. Calculate x.
-22, -2/3
Let j(c) be the third derivative of -c**7/2415 - c**6/1380 + c**5/345 + 2127*c**2. Factor j(o).
-2*o**2*(o - 1)*(o + 2)/23
Let q = -44 + 50. Let r be 2 - (-3 + 1 + (q - 8)). Factor 14*n**3 - 22*n**3 + 6*n**3 + 4 + r*n.
-2*(n - 2)*(n + 1)**2
Suppose 0 = 42*k - 45*k + 15, -9 = -2*r - k. Factor -128*o**2 + 30 + 125*o**r + 9*o - 18*o.
-3*(o - 2)*(o + 5)
Let p(h) = 7*h**2 - 42. Let c(b) be the third derivative of -3*b**5/5 + 106*b**3/3 - 104*b**2. Let g(n) = 3*c(n) + 16*p(n). Factor g(u).
4*(u - 3)*(u + 3)
Suppose 0 = 5*v + 4*m - 44, 11*v - 13*v - 3*m + 26 = 0. Find s, given that -1/5*s**v + 0*s + 0 + 3/5*s**3 + 0*s**2 = 0.
0, 3
Find f such that -329/6 + 55*f - 1/6*f**2 = 0.
1, 329
Factor 1/4*b**4 + 26 - b - 39/2*b**2 - 23/4*b**3.
(b - 26)*(b - 1)*(b + 2)**2/4
Let -2/13*g**4 + 0 + 100/13*g**2 - 98/13*g**3 + 0*g = 0. Calculate g.
-50, 0, 1
Let s(x) be the third derivative of -56*x**3 - 31/105*x**5 + 0*x - 20/3*x**4 - 1/210*x**6 + 0 + 88*x**2. Factor s(i).
-4*(i + 3)*(i + 14)**2/7
Let u(z) be the first derivative of 1/12*z**4 + 8*z**2 + 4/3*z**3 + 9 + 20*z. Let m(b) be the first derivative of u(b). Factor m(n).
(n + 4)**2
Suppose 15*t - 35 - 40 = 0. Factor 31 - 76 + t*u**4 - 120*u**2 - 30*u**3 + 50*u - 93*u - 87*u.
5*(u - 9)*(u + 1)**3
Let g(j) = -j**3 - 16*j**2 - 26*j + 30. Let b be g(-14). Factor -3*n**2 - 7*n + 41*n + 5*n**b + 0*n**2 + 60.
2*(n + 2)*(n + 15)
Let x be 372/1364 - ((-5)/10)/(22/(-12)). Factor 9/2*y - 1/2*y**3 + 4*y**2 + x.
-y*(y - 9)*(y + 1)/2
Factor -516*o**2 + 266*o**3 + 653*o**2 + 4623*o - 265*o**3 - 4761.
(o - 1)*(o + 69)**2
Let g(q) be the first derivative of -q**6/45 - 42*q**5/25 - 61*q**4/30 + 14*q**3/5 + 62*q**2/15 - 795. Determine t, given that g(t) = 0.
-62, -1, 0, 1
Let p(s) = s**3 + 23*s**2 - 4*s - 88. Let o be p(-23). Factor -o*u**3 - u**4 - u**5 + 9*u**3 + 5*u**4.
-u**3*(u - 5)*(u + 1)
Suppose 3*p = 0, -16*p = -5*v - 20*p + 15. Let h = 2666 - 2664. Solve 1/2*k**4 + 0*k + 0*k**h + 0 + 1/2*k**v = 0.
-1, 0
Let g(i) be the first derivative of 3/2*i**5 + 20/3*i**3 + 0*i**2 + 7 - 5*i**4 + 8*i - 1/6*i**6. Let b(j) be the first derivative of g(j). Factor b(c).
-5*c*(c - 2)**3
Suppose 8 = 4*m, 2*q + 4*m - 5*m - 14 = 0. Suppose -212*r**3 - 127*r**2 + 443*r**4 + 355*r**2 + q - 92*r - 375*r**4 = 0. What is r?
2/17, 1
Let m be ((-21)/6 - (6 + -9))/(204/(-816)). Factor 0*l**4 + 0 - 3/7*l**5 + 9/7*l**3 + 0*l - 6/7*l**m.
-3*l**2*(l - 1)**2*(l + 2)/7
Let v be 17615/39*12/10. Let k = 544 - v. Solve 14/3*q**2 - 14/3*q - k + 2*q**3 = 0.
-3, -1/3, 1
Let u(d) be the third derivative of 2*d**7/105 + 49*d**6/30 - d**5/15 - 49*d**4/6 - 3413*d**2 - 2*d. Factor u(i).
4*i*(i - 1)*(i + 1)*(i + 49)
Let x = 13597/2812 - -1/148. Let t = -9041 + 171845/19. Solve 0 + 24/19*z**2 - 14/19*z**5 + 16/19*z + t*z**4 - x*z**3 = 0.
-2/7, 0, 1, 2
Let z(j) = 2*j**3 - 21*j**2 + 13*j + 21. Let s be z(10). Let t be (s/(-36) - (-12)/16)*-3. Factor 2/7*g + 2/7*g**t + 0.
2*g*(g + 1)/7
Let o(n) be the second derivative of -2*n**6/15 - 166*n**5/5 - 7052*n**4/3 - 26896*n**3/3 - 787*n. Factor o(q).
-4*q*(q + 2)*(q + 82)**2
Let z be (879/8790)/(3/20). Let 0 + 0*r + 2*r**2 + z*r**3 = 0. What is r?
-3, 0
Suppose 20 = -4*b + 14*b. Let u be ((-24)/(-18))/(b/3). Factor -12*l**2 + 4*l**4 - 8*l + u*l**3 - 2*l**3.
4*l*(l - 2)*(l + 1)**2
Let a(q) be the first derivative of -1/1440*q**6 + 1/96*q**5 + 17 - 1/24*q**4 + 0*q - 7*q**3 + 0*q**2. Let v(n) be the third derivative of a(n). Solve v(h) = 0.
1, 4
Let v(y) be the third derivative of -y**7/70 + 7*y**6/8 - 8*y**5/5 - 17*y**4/2 + 19*y**2 - 4. Determine u so that v(u) = 0.
-1, 0, 2, 34
Let r be (-2)/3 - 4/((-12)/23). Suppose -3 = -4*z - r, 0 = -3*j + 3*z + 9. Factor 2*f**2 - 12*f**2 + j*f**2 + 9*f**2 + f.
f*(f + 1)
Factor -1/5*s**4 - 9/5*s**3 + 0 - 24/5*s**2 - 16/5*s.
-s*(s + 1)*(s + 4)**2/5
Let j = 73728 + -147455/2. Find q, given that -1/4*q**5 - 7/4*q + 1/2*q**4 + j*q**2 + 2*q**3 - 1 = 0.
-1, 1, 4
Let i be (-18)/(-4) + (-60)/40. Let p(l) be the first derivative of -15/4*l**4 + 0*l**2 + 28 - 10/3*l**i - l**5 + 0*l. Factor p(m).
-5*m**2*(m + 1)*(m + 2)
Let n(m) = -m**3 - 8*m**2 - 8*m + 5. Let y be n(-7). Suppose -5*q + y = -4*k, -q - 1 = -5*k + 5. Factor h + 5*h + 0*h**2 + 4*h**2 - k*h - 8.
4*(h - 1)*(h + 2)
Let p(i) be the first derivative of -56*i**5/15 + 19*i**4/3 + 116*i**3/9 - 32*i**2/3 - 16*i - 799. Suppose p(m) = 0. What is m?
-1, -1/2, 6/7, 2
Suppose 15*l - 17*l = -4. Let a = 76651/12 - 19162/3. Factor 3/4*k + 0 + a*k**l.
k*(k + 3)/4
Let g(h) be the second derivative of -5*h**7/42 + h**6/2 + 13*h**5/2 - 15*h**4 - 220*h**3/3 + 240*h**2 + 1852*h. Determine z, given that g(z) = 0.
-4, -2, 1, 2, 6
Let d(u) = -4*u**2 + 16*u - 14. Let a(c) be the second derivative of -7*c**4/4 + 27*c**3/2 - 67*c**2/2 - 36*c - 2. Let n(j) = 4*a(j) - 22*d(j). Solve n(t) = 0.
2, 5
Let n be ((-14)/63)/((-20)/15). Let x(c) be the third derivative of 0*c + 1/3*c**3 + 1/30*c**5 + n*c**4 + 7*c**2 + 0. Factor x(y).
2*(y + 1)**2
Let z(u) be the first derivative of 3*u**5/2 - 155*u**4/8 + 35*u**3/6 + 155*u**2/4 - 25*u + 1870. Suppose z(x) = 0. Calculate x.
-1, 1/3, 1, 10
Let i(a) = -11*a**2 - 170*a - 2899. Let z be 70/49*7 + -7. Let g(f) = -4*f**2 - 56*f - 967. Let n(h) = z*i(h) - 8*g(h). Suppose n(q) = 0. Calculate q.
-31
Let c(b) be the first derivative of -143 + 9*b**3 + 24*b**2 + 64/3*b. Solve c(t) = 0 for t.
-8/9
Let p(i) = i**2 - 4*i + 6. Let j be p(5). Factor 4*s - 6*s**2 + 8 + 4*s**3 + 6*s - 7*s + 2*s**4 - j*s.
2*(s - 1)**2*(s + 2)**2
Let l = 201874/5 + -40374. Suppose -l*f**2 + 0 + 0*f + 6/5*f**3 = 0. Calculate f.
0, 2/3
Let z(f) = -f**2 + 6*f + 8. Let k be z(7). Let d be (108/(-16) - k*-4)*-4. Factor -25*h - d - 5*h**2 + 8 + 3.
-5*h*(h + 5)
Let h be (-185)/(-15) - (-12)/(-9). Let -3*y + h - 18*y + y**3 - 283*y**2 + 292*y**2 = 0. Calculate y.
-11, 1
Let f(c) be the second derivative of 5*c**7/21 + 43*c**6/15 - 183*c**5/10 + 241*c**4/6 - 130*c**3/3 + 24*c**2 - 125*c - 2. Let f(k) = 0. What is k?
-12, 2/5, 1
Let w be 30 - (8 - (-17 - 5)). Solve 3*q**2 + 3/2*q**3 + w + 3/2*q = 0.
-1, 0
Let s(f) be the third derivative of -1/240*f**6 + 0 + 27*f**2 - 24389/12*f**3 - 29/40*f**5 - 841/16*f**4 + 3*f. Determine j so that s(j) = 0.
-29
Suppose 5 = r + q - 1, -2*q = 5*r - 18. Solve 1159*y**3 - 2*y - 1156*y**3 - 2*y**2 + y**r + y**4 - y**5 = 0 for y.
-1, 0, 1, 2
Let f(w) be the second derivative of -2*w**7/525 + w**6/25 - 8*w**5/75 + 79*w**2/2 - 10*w. Let c(k) be the first derivative of f(k). Factor c(i).
-4*i**2*(i - 4)*(i - 2)/5
What is g in -g**3 + 30 + 11*g**2 + 54*g - 5*g**2 + 22*g**2 + 5*g = 0?
-1, 30
Let m be 4/(-3)*10/16*(-7812)/22785. Factor 24/7*p**2 - m*p**3 - 6*p - 28.
-2*(p - 7)**2*(p + 2)/7
Suppose -5*q = 5*k - 197 + 172, -10 = 10*q - 2*k. Factor -4/13*s**3 + 0 + 0*s**2 + q*s + 2/13*s**4.
2*s**3*(s - 2)/13
Let f(w) = w**2 + 6*w - 42. Let k be f(-12). Suppose 0 = 16*d - 21*d + k. Factor 14*c**3 + d*c - 25*c**3 - 9*c**2 + 14*c**3.
3*c*(c - 2)*(c - 1)
Let s be -2 + (-223329)/(-253) + (-42)/483. Let u = 881 - s. Factor 0 + 2/11*c**4 - 2/11*c**2 - 4/11*c**3 + u*c.
2*c*(c - 2)*(c - 1)*(c + 1)/11
Suppose x = k + 3, -x + 4*x - 15 = 0. Suppose -5*h + 15*t + 23 = 16*t, 0 = -5*h - 4*t + 32. Factor h*u**2 - 4*u + 2*u**k - 4*u**2 - 3*u**2.
-u*(u + 4)
Suppose -42*v = -46*v - 208. Let d be 46/8 - (-39)/v. Factor -15*u**4 + 4*u**d - 8*u**5 - u**5 - 5*u**2 - 15*u**3.
-5*u**2*(u + 1)**3
Let q(f) be the second derivative of 8*f**6/3 + 6*f**5 + 15*f**4/4 + 5*f**3/6 - 579*f + 2. Suppose q(a) = 0. Calculate a.
-1, -1/4, 0
Find r such that -19847694/11 - 900/11*r**3 - 135888/11*r**2 - 7015516/11*r - 2/11*r**4 = 0.
-149, -3
Let s be 3 + (-2)/2 + 0. Factor -4*r**s + 17*r + r**3 + 2*r - 14*r - 2.
(r - 2)*(r - 1)**2
Solve 0 - 156/5*k**2 + 504/5*k + 1/5*k**5 - 58/5*k**3 + 3/5*k**4 = 0 for k.
-6, 0, 2, 7
Let a = -18 - -40. Suppose 0 = -z + a - 18. Let -d**4 + 2 - 2*d**4 