y + 22, -j + 9 = 3*y. Let c(u) be the first derivative of 5*u**2 + 0*u**3 - 3 - 5/2*u**y + 5*u - u**5. Find f such that c(f) = 0.
-1, 1
Let z(t) be the third derivative of -t**6/120 - t**5/60 + 43*t**2. Let j(m) = -12*m**2. Let b(r) = 2*j(r) - 4*z(r). Solve b(d) = 0.
0, 5
Let s(u) = u + 7. Let b = 69 - 74. Let l be s(b). Find y, given that -6*y**2 - 9*y**2 + 20 + 18*y**2 - 8*y**l = 0.
-2, 2
Let t(l) be the second derivative of -l**8/6720 + l**6/240 + l**5/60 + l**4/12 - 19*l**2 + 5*l - 8. Let u(f) be the third derivative of t(f). Factor u(n).
-(n - 2)*(n + 1)**2
Let u(z) be the first derivative of 2*z**5/11 + 16*z**4/11 + 38*z**3/11 + 38*z**2/11 + 16*z/11 + 1711. Solve u(q) = 0 for q.
-4, -1, -2/5
Let z = -64 + 81. Let g(v) = -v + 17. Let i be g(z). Find w such that -11*w**4 - 5*w**5 + 2*w**4 + 8*w**5 + i*w**4 + 6*w**3 = 0.
0, 1, 2
Let d(c) = 2*c**3 + 27*c**2 + 11*c - 18. Let g be d(-13). Factor 27*i**3 + 72*i**2 - 79 + 2*i**4 - 4*i**3 + 15 + 7*i**3 - 32 - g*i.
2*(i - 1)*(i + 2)**2*(i + 12)
Let v(x) be the first derivative of -52/3*x**3 - 4 + 4*x - 24*x**2. Factor v(s).
-4*(s + 1)*(13*s - 1)
Factor 21/4*w**2 + 207/2 - 1455/4*w.
3*(w - 69)*(7*w - 2)/4
Let w(g) = 6*g**2 + 6*g - 18. Let s(a) = 5*a**2 + 5*a - 18. Let x = -88 + 86. Let d(o) = x*w(o) + 3*s(o). Factor d(m).
3*(m - 2)*(m + 3)
Let x(d) be the second derivative of -d**5/80 + d**3/2 + 2*d**2 - 109*d - 6. Factor x(r).
-(r - 4)*(r + 2)**2/4
Let c(j) = j**3 - 15*j**2 - 3*j + 48. Let p be 2 + 0 + (2 + 37)/3. Let x be c(p). Factor 4/3*t**x + 0 - 16/3*t**2 + 16/3*t.
4*t*(t - 2)**2/3
What is i in -22/9*i - 16/9 + 10/9*i**2 + 22/9*i**3 + 2/3*i**4 = 0?
-8/3, -1, 1
Let b(j) be the first derivative of -300/11*j**2 - 1/22*j**4 + 2000/11*j + 52 + 20/11*j**3. Factor b(o).
-2*(o - 10)**3/11
Suppose 4*l + p - 528 = 236, -l + 4*p + 208 = 0. Let w be 9/(-12) + 18064/l. Find k, given that 16/9*k**4 + w*k + 1012/9*k**2 + 80/3*k**3 + 196/9 = 0.
-7, -1/2
Factor 3/7*k**4 + 0 + 18375*k + 1575*k**2 + 45*k**3.
3*k*(k + 35)**3/7
Suppose -51*p + 862 - 250 = 0. Let u be 2 + 30/p*64/(-140). Let u + 4/7*m**3 - 4/7*m - 8/7*m**2 + 2/7*m**4 = 0. What is m?
-3, -1, 1
Determine x, given that 432/7*x**2 + 89888/7 + 24168/7*x + 2/7*x**3 = 0.
-106, -4
Let x(f) be the second derivative of 2*f**7/21 + 2*f**6/3 + 6*f**5/5 - 2*f + 1426. Determine q so that x(q) = 0.
-3, -2, 0
Suppose 16*k = 21*k - 540. Determine j so that 3*j**4 + 525*j**2 + 771*j**2 - k*j**3 - 3752*j - 1432*j = 0.
0, 12
Suppose 22*k - 19*k = 5*l + 100, -4*k = l + 20. Let u be (l/(-54))/(15/18). Solve 2/3*d**3 + u + 14/9*d + 16/9*d**2 = 0.
-1, -2/3
Suppose 3*q = r + 5, -3*q + 4*r + 6 = 4. Factor 3*x**2 + x**2 + x**q - 44 - 4*x**2 + 0*x**2 + 43*x.
(x - 1)*(x + 44)
Let o(k) = -35 - 27 + 3*k**2 - 10 + 15. Suppose -3*g - 3*t + 4 = 2*t, -10 = 4*g - t. Let x(f) = f**2 - 14. Let r(m) = g*o(m) + 9*x(m). Factor r(l).
3*(l - 2)*(l + 2)
Suppose -4*t + 24 = 0, 137*t + 24 = -3*z + 142*t. Let d(m) be the first derivative of -20 - 4/3*m**3 - z*m**2 + 0*m. Factor d(j).
-4*j*(j + 1)
Let l = 12 + 72. Factor -86*o**2 + 58*o**2 + l - 324 + 848*o.
-4*(o - 30)*(7*o - 2)
Factor 4/9*x**4 + 0*x - 52/3*x**3 + 152/9*x**2 + 0.
4*x**2*(x - 38)*(x - 1)/9
Factor -40/7 + 2/7*w**3 + 82/7*w - 44/7*w**2.
2*(w - 20)*(w - 1)**2/7
Let k(b) be the first derivative of -b**5/15 + 43*b**4/12 - 40*b**3/9 - 14*b**2 - 611. Factor k(l).
-l*(l - 42)*(l - 2)*(l + 1)/3
Let c = -154423 - -154443. Find x, given that -c*x + 1/2*x**4 + 2*x**3 + 24 - 13/2*x**2 = 0.
-4, 1, 3
Let -1/5*x**2 + 87/5*x - 86/5 = 0. Calculate x.
1, 86
Let n(q) be the second derivative of q**4/12 - 5*q**3/6 + 3*q**2 + 25*q. Let v be n(3). Factor h**4 + v*h + 6*h**3 - 3*h**3 - h**3 - 2*h - h**2.
h*(h - 1)*(h + 1)*(h + 2)
Suppose 0 = 2*l + 11*q - 92, 43 = -4*l + 2*q + 35. Suppose 16 - 1/2*f**3 + 6*f**l - 18*f = 0. Calculate f.
2, 8
Factor 12992241/5*m**3 + 2587788/5*m - 10043082/5*m**2 - 222264/5.
3*(163*m - 42)**3/5
Let q(s) be the third derivative of s**5/15 - 353*s**4/6 - 236*s**3 - 2*s**2 + 23*s + 1. Let q(o) = 0. What is o?
-1, 354
Let m(d) = d**3 - d - 1. Let a be (-23)/138 - 25/(-6). Let b(u) = 21*u**3 - 12*u**2 - 4*u - 4. Let k(h) = a*m(h) - b(h). Factor k(g).
-g**2*(17*g - 12)
Suppose 7311 = 5*h - 3*d + 4*d, -5*d = 4*h - 5853. Let g = 1466 - h. Determine b, given that 46*b**2 + 72*b**3 - 32*b + g + 81/4*b**4 = 0.
-2, 2/9
Let r be 840/(-1470) - 891/(-126). Solve 0 - 2*c + 7/2*c**4 - 15/2*c**3 + r*c**2 - 1/2*c**5 = 0 for c.
0, 1, 4
Factor 3243*n - 3243*n - 2*n**3 - 38*n**2.
-2*n**2*(n + 19)
Let i = 379 + -376. Let z be (1 + -2)*i/(-1). Determine p, given that 8/5*p**4 + 0 + 0*p**2 + 4/5*p**z + 0*p + 4/5*p**5 = 0.
-1, 0
Let n(d) = 2*d. Let z be n(1). Let m be (93/(-155))/(5/(-25)). Factor 3*j**3 - 11*j**3 + 10*j**z + 5*j**3 + j**m.
-2*j**2*(j - 5)
Factor 1758/7*v + 3/7*v**2 - 1761/7.
3*(v - 1)*(v + 587)/7
Let v(i) = 12*i**2 - 21*i - 90. Let t(b) = b**2 - 2*b + 4. Let q(m) = 9*t(m) - v(m). Determine o so that q(o) = 0.
-6, 7
Let i(d) be the first derivative of -d**4/12 - 80*d**3/9 + d**2/6 + 80*d/3 + 13420. Factor i(h).
-(h - 1)*(h + 1)*(h + 80)/3
Factor 26*g - 2/3*g**3 + 0 - 20/3*g**2.
-2*g*(g - 3)*(g + 13)/3
Let f(p) be the second derivative of -p**6/30 + 7*p**5/20 + 10*p**4 + 182*p**3/3 + 160*p**2 - 6404*p. Factor f(g).
-(g - 16)*(g + 2)**2*(g + 5)
Factor 858/5*h**3 + 0*h + 2/5*h**5 - 152/5*h**4 - 252*h**2 + 0.
2*h**2*(h - 70)*(h - 3)**2/5
Let q be -5 + (-4)/20*-15. Let l be (42/(-15) - q)/((-2)/5). Suppose 36/11*d**l - 216/11*d + 432/11 - 2/11*d**3 = 0. Calculate d.
6
Let j = 505759 + -1517272/3. Factor 95/3*o + 100/3 - j*o**2.
-5*(o - 20)*(o + 1)/3
Let o(m) = m - 6. Let q be o(6). Suppose q = 3*p - 5*g - 9, 0*p = 3*p - g - 9. Factor -1/6*s**4 + 0 + 1/6*s**2 + 0*s**p + 0*s.
-s**2*(s - 1)*(s + 1)/6
Let q(l) be the second derivative of -l**4/36 + 28*l**3/9 - 18*l**2 + 669*l. Factor q(w).
-(w - 54)*(w - 2)/3
Let q(z) be the first derivative of -1/15*z**3 + 219 + 6/5*z - 1/10*z**2. Solve q(u) = 0.
-3, 2
Let o(t) be the third derivative of -t**6/600 - t**5/12 - 11*t**4/60 + 8*t**3/5 - 1590*t**2. Factor o(u).
-(u - 1)*(u + 2)*(u + 24)/5
Let u(x) be the second derivative of -x**4/24 - 137*x**3/6 + 3449*x. Determine b, given that u(b) = 0.
-274, 0
Suppose -12 = -4*y - h, -4*h - 12 = 1218*y - 1222*y. Factor -24/5*g + 3/5*g**2 - 3/5*g**4 + 0 + 24/5*g**y.
-3*g*(g - 8)*(g - 1)*(g + 1)/5
Let z be 1/4 + (17 - (-2086)/(-56)). Let k be (-29)/z + (-66)/275*5. Factor 1/2*l - 1/4 - k*l**2.
-(l - 1)**2/4
Determine x, given that -232/13*x - 2/13*x**4 + 0 + 58/13*x**3 + 8/13*x**2 = 0.
-2, 0, 2, 29
Let c(r) be the first derivative of 5*r**6/18 + 8*r**5/3 - 235*r**4/2 - 4420*r**3/9 - 4475*r**2/6 - 500*r + 3549. Solve c(h) = 0 for h.
-20, -1, 15
Let z(v) be the second derivative of -v**5/5 - 100*v**4/3 + 3034*v. Solve z(q) = 0.
-100, 0
Let b(q) be the first derivative of -q**7/2940 + q**6/126 - q**5/35 - 6*q**4/7 - 11*q**3 + 39. Let a(m) be the third derivative of b(m). Solve a(p) = 0.
-2, 6
Let f be 11/((-11)/2) + 4. Let c be 3*(2 + -1) - 1. Factor -5 - 4*u + u**f - u**2 + u**2 + 0*u**c.
(u - 5)*(u + 1)
Suppose 5*v + 468 = 4*q, -4*q - 196 = 2*v - 20. Let f = 190 + v. Factor 40*z**3 + 44*z**3 - 12*z + 30*z**3 - f*z**3 - 4.
4*(z - 1)*(2*z + 1)**2
Let i = -277 + 280. Solve 3*v**2 + 21*v - i*v**4 - 9*v**3 - 25*v + 13*v = 0.
-3, -1, 0, 1
Suppose 9*i = 8*i + 8. Suppose -n = -5*n + i. Solve 10*a - 11 - 3*a**2 + 26 - 2*a**n = 0 for a.
-1, 3
Let j be ((-81)/72)/(9118/(-13160) - (-2)/(-35)). Suppose 75 - 75*x**2 - 3/2*x + j*x**3 = 0. Calculate x.
-1, 1, 50
Let m(r) = -5*r**2 - 17*r - 2. Suppose 3*l + 0 + 6 = 0. Let o(k) = 58*k - 1 + 68*k - 214*k + 87*k. Let d(b) = l*o(b) + m(b). Find g such that d(g) = 0.
-3, 0
Let t = 6/177299 - -3014071/354598. Determine h, given that 1/2*h**3 + 20*h + 150 - t*h**2 = 0.
-3, 10
Let l(o) = -5*o**2 + 8*o + 188*o**3 - 6 + 191*o**3 - 378*o**3 + 4. Let a be l(3). Factor -18*g**2 + a*g**3 + 14*g**2 - 4*g**3 - 4*g**3.
-4*g**2*(g + 1)
Let k(f) be the first derivative of -f**5/5 + 3*f**4/2 - 13*f**3/3 + 6*f**2 - 4*f + 5540. Factor k(l).
-(l - 2)**2*(l - 1)**2
Let g be -89 - -65 - (-27 + 0). Suppose -1/2*j**5 + 0 + 2*j**2 - 3*j - 3/4*j**4 + 9/4*j**g = 0. What is j?
-2, 0, 1, 3/2
Let c(l) = -13*l**3 + 12*l**2 - 134*l + 93. Let u(s) = -7*s*