*z**3 - 16*z**2 - 2. Let r(x) = 81*x**4 - 240*x**3 + 255*x**2 + 33. Let o(c) = -2*r(c) - 33*v(c). Suppose o(u) = 0. What is u?
0, 2, 3
Let i(g) be the third derivative of 19*g**6/180 - 7*g**5/20 + g**4/6 - 16*g**3/3 - 20*g**2. Let y(t) be the first derivative of i(t). Factor y(c).
2*(c - 1)*(19*c - 2)
Let a(h) be the third derivative of 0*h + 1/420*h**5 + 1/168*h**4 + 1/2520*h**6 + 2/3*h**3 - 5*h**2 + 0. Let x(k) be the first derivative of a(k). Factor x(d).
(d + 1)**2/7
Let p = 2127 - 2123. Determine k so that k + k**p - 3/4*k**3 - 1/4*k**5 + 0 - k**2 = 0.
-1, 0, 1, 2
Let q(u) be the first derivative of -10/3*u**3 + 2*u**5 - 5/6*u**6 + 5/2*u**2 + 3 + 0*u**4 + 0*u. Factor q(w).
-5*w*(w - 1)**3*(w + 1)
Solve -119*u**3 + 157*u**3 + 56*u + 12*u**5 - 116*u**4 + 214*u**3 - 256*u + 180*u**2 = 0 for u.
-1, 0, 2/3, 5
Let p be 36*((-24)/36 + 8/6). Suppose -5*v - 14 = -p. Factor 5/4*c + 1/2 + 3/4*c**v.
(c + 1)*(3*c + 2)/4
Let p be 2/(-14) - (2520/(-245) - -10). What is y in -1/7*y**4 + 0 - p*y**2 + 0*y - 2/7*y**3 = 0?
-1, 0
Let v be (2667/126 - 21)/(3/4). Factor 4/9*r + 2/9 + v*r**2.
2*(r + 1)**2/9
Let d be (-1757)/(-753)*4/21. Suppose -d + 1/9*i**2 + 0*i = 0. What is i?
-2, 2
Let u(k) be the third derivative of -k**8/1344 - k**7/504 - 11*k**4/8 + 23*k**2. Let n(d) be the second derivative of u(d). Find w such that n(w) = 0.
-1, 0
Let k = 39474 + -198813/5. Let o = 289 + k. Factor -o*l**3 - 4/5*l**2 + 0 + 2/5*l**4 + 0*l.
2*l**2*(l - 2)*(l + 1)/5
Suppose 4*l = -3*u + 17, -4 = 4*l + 4*u - 8*u. Determine c so that c**2 - 4*c**l - 10*c - 9*c**2 - 3*c**2 = 0.
-2/3, 0
Let t(v) be the second derivative of -v**5/60 + v**4/36 + 33*v. Suppose t(q) = 0. What is q?
0, 1
Let j = 20 + -20. Let g(q) be the second derivative of 3*q + j*q**3 + 1/4*q**4 + 0*q**5 + 0*q**2 - 1/10*q**6 + 0. Solve g(p) = 0.
-1, 0, 1
Let o(k) be the second derivative of k**4/18 - 4*k**3/9 + k**2 - 3*k - 2. Let o(u) = 0. Calculate u.
1, 3
Let n(w) = -5*w - 1 - w + 5*w. Let r(y) = 3*y**2 - 3*y - 6. Let j(q) = 6*n(q) - r(q). Find u such that j(u) = 0.
-1, 0
Suppose -2*v - 18 = -4*y, 5*y - v - 24 = 2*v. What is b in -5*b**y - 5*b**2 - b**3 + b**3 + 5*b + 5*b**4 = 0?
-1, 0, 1
Let g(j) = j**4 - j + 1. Let q(l) = l**5 + l**4 - 3*l**3 + 8*l**2 - 7*l + 3. Let i(w) = -3*g(w) + q(w). Determine p, given that i(p) = 0.
-2, 0, 1, 2
Let p be (-200)/18*(-2 + (-50)/(-4)). Let i = 118 + p. Suppose 4/3*z + i*z**2 + 1/3*z**3 + 0 = 0. What is z?
-2, 0
Factor -45/2 - 3/2*w**2 - 24*w.
-3*(w + 1)*(w + 15)/2
Suppose 0 + 2 = h. Find k such that -15*k**3 + k**2 + 5*k + 10*k**2 - 10 + 15*k**2 - 6*k**h = 0.
-2/3, 1
Suppose 86/3 + 2/9*d**2 + 260/9*d = 0. Calculate d.
-129, -1
Suppose 5*g + 94 = 244. Solve 29*s**2 - 3 - g*s**2 + 7 = 0 for s.
-2, 2
Let b be -4 + (2 - (-4 + 0)). Suppose -2 = 3*t + b*k, -2*t + 3*k = -5*t - 6. Let -4*h**3 + 6*h**4 - 5*h**5 + h**3 + 0*h**3 + t*h**5 = 0. What is h?
0, 1
Let u(b) be the third derivative of 0*b**6 + 2/525*b**7 - 1/75*b**5 - 1/60*b**4 + 0*b + 1/840*b**8 + 17*b**2 + 0*b**3 + 0. Factor u(h).
2*h*(h - 1)*(h + 1)**3/5
Let w(v) be the third derivative of 2/3*v**4 + 9/10*v**5 + 0*v + 4/105*v**7 + 0 + 19/60*v**6 + 3*v**2 - 4/3*v**3. Solve w(t) = 0 for t.
-2, -1, 1/4
Factor -680*o**2 + 666*o**2 - 2*o**3 - 4*o - 8*o.
-2*o*(o + 1)*(o + 6)
Let l(f) = -f**3 - f**2 - 1. Let y(u) = -10*u**3 - 20*u**2 + 2*u + 24. Let c(r) = -12*l(r) - y(r). Determine h so that c(h) = 0.
-1, 6/11
Suppose -4*o = 4*z + 12, -54*z + 4*o + 12 = -49*z. Factor -2/9*l**4 + 0*l + 0 + z*l**2 - 2/9*l**3.
-2*l**3*(l + 1)/9
Let w(n) be the second derivative of 0 - 1/30*n**4 - 2/3*n**3 - 9/5*n**2 + 38*n. Solve w(b) = 0.
-9, -1
Let j(k) be the third derivative of -k**7/140 - 3*k**6/80 - 3*k**5/40 - k**4/16 - 44*k**2. Solve j(b) = 0.
-1, 0
Let a be (-3)/24*168/(-32 - -4). Factor 1 + 1/2*i**3 - i - a*i**2 + 1/4*i**4.
(i - 1)**2*(i + 2)**2/4
Determine a, given that -5*a**2 - 2*a - 10*a**3 - 82 + 9*a**3 + 90 = 0.
-4, -2, 1
Let u = -3/343 + 4811/1029. Factor -2 + 2/3*o**5 - u*o**4 + 26/3*o + 12*o**3 - 44/3*o**2.
2*(o - 3)*(o - 1)**4/3
Let l(n) be the first derivative of 0*n**2 - 1/18*n**4 - 2*n + 0*n**3 - 9. Let s(t) be the first derivative of l(t). Factor s(g).
-2*g**2/3
Factor -12*a - 2/7*a**4 - 170/7*a**2 + 0 - 88/7*a**3.
-2*a*(a + 1)**2*(a + 42)/7
Let p(q) = -q**3 - q - 2. Let a(y) = -15*y**3 + 60*y**2 + 125*y + 50. Let m(j) = -a(j) + 10*p(j). Suppose m(o) = 0. What is o?
-1, 14
Let y(l) be the second derivative of -l**6/255 - 23*l**5/170 - 28*l**4/17 - 320*l**3/51 + 512*l**2/17 + 54*l. Factor y(x).
-2*(x - 1)*(x + 8)**3/17
Suppose -3*y - 2*s + 594 = 571, y + s = 9. Let 10/13*d**4 + 14/13*d**2 + 2/13*d**y + 4/13*d + 0 + 18/13*d**3 = 0. Calculate d.
-2, -1, 0
Let f be 4 - (555/(-60) - 2/(-8)). Let l be (-12)/78 - (-4 - (-50)/f). Let l + 2/15*d**2 - 2/15*d**4 + 2/15*d**3 - 2/15*d = 0. Calculate d.
-1, 0, 1
Factor 2*s**2 - 7*s**2 + 25*s - 5985 + 6015.
-5*(s - 6)*(s + 1)
Suppose 0 = -4*m - 4*u, 2*u + 18 = 5*m + u. Suppose -4*a = m*a - 42. Factor -a + 6*v - 3/2*v**2.
-3*(v - 2)**2/2
Let s = -3 - 3. Let c(v) = v**2 + 7*v + 7. Let f be c(s). What is y in 4*y**2 + f + y**2 - 3 + 4*y + y**2 = 0?
-1, 1/3
Let h(l) be the third derivative of l**5/20 - 9*l**4/8 + 7*l**3 - 198*l**2. Factor h(x).
3*(x - 7)*(x - 2)
Let t(z) be the second derivative of z**5/10 - z**3/3 + 7*z + 1. Let t(u) = 0. Calculate u.
-1, 0, 1
Let l(s) be the second derivative of 7*s**5/90 - s**4/6 - 40*s**3/27 + 4*s**2/3 - 23*s - 1. Factor l(x).
2*(x - 3)*(x + 2)*(7*x - 2)/9
Let i(n) = -n + 11. Let v be i(8). Suppose -2*r = -2*s - 8, -s - s = -v*r + 12. Factor -3/4*d**4 + 0 - 3*d**5 + 0*d**2 + 0*d**3 + s*d.
-3*d**4*(4*d + 1)/4
Factor 0 - 1/3*p - 1/2*p**4 + 23/12*p**3 - 5/3*p**2.
-p*(p - 2)**2*(6*p + 1)/12
Let s(b) = -17*b**2 - 357*b - 6483. Let n(g) = -225*g**2 - 4640*g - 84280. Let v(f) = 3*n(f) - 40*s(f). Solve v(c) = 0.
-36
Let x(p) = -p**4 + 8*p**3 + p**2 + 8. Let j(k) = -k**4 + 9*k**3 + 10. Let h(v) = -4*j(v) + 5*x(v). Solve h(g) = 0 for g.
-1, 0, 5
Let g = 92623/9 + -10289. Factor -32/9 - g*d**4 - 112/9*d - 146/9*d**2 - 86/9*d**3 - 2/9*d**5.
-2*(d + 1)**3*(d + 4)**2/9
Factor 288/5 - 2352/5*f + 4994/5*f**2 - 784/5*f**3 + 32/5*f**4.
2*(f - 12)**2*(4*f - 1)**2/5
Let g(q) be the first derivative of 2*q**5/35 + 6*q**4/7 + 44*q**3/21 - 12*q**2 + 14*q + 64. Factor g(d).
2*(d - 1)**2*(d + 7)**2/7
Let r(n) = 2*n**2 - 3*n + 1. Let v(c) = 2*c**2 - 4*c + 2. Let l(o) = 2*o**3 + 8*o**2 - 2*o - 5. Let g be l(-4). Let q(w) = g*v(w) - 4*r(w). Solve q(p) = 0.
-1, 1
Suppose -6*v - 4*v + 56 = 4*v. Factor 0 + 2/17*g**v - 8/17*g**3 + 10/17*g**2 - 4/17*g.
2*g*(g - 2)*(g - 1)**2/17
Let h be 4 + 30/(-6) - (-3 + 2). Let n(v) = -11*v - 31. Let o be n(-3). Factor 2/15*p**3 + 2/15*p**o + h - 4/15*p.
2*p*(p - 1)*(p + 2)/15
Let l(o) be the third derivative of -10*o**7/21 + 19*o**6/30 + 2*o**5/5 - 419*o**2. Determine j, given that l(j) = 0.
-6/25, 0, 1
Let q(x) = -x**3 - 46*x**2 - 75*x - 1348. Let l be q(-45). Find s, given that 16/13*s**l - 14/13*s**5 - 8/13*s + 4/13*s**4 + 0 + 42/13*s**3 = 0.
-1, 0, 2/7, 2
Let u = -2706/5 - -1624/3. Factor -u*j**4 + 22/15*j**2 + 4/5*j + 0 + 8/15*j**3.
-2*j*(j - 6)*(j + 1)**2/15
Let u be (-800)/(-1950)*9/6. Factor -u*p + 0 + 2/13*p**2.
2*p*(p - 4)/13
Solve -96 - 3/4*m**4 - 171/2*m**2 - 168*m - 57/4*m**3 = 0 for m.
-8, -2, -1
Let w be (-5)/(-20) + (-14)/(-8). Solve -1 - 5 + 10*z - 9 - 6*z**w + 23*z = 0 for z.
1/2, 5
Let j = -1221 - -1221. Let z(d) be the third derivative of -1/120*d**6 - 2/3*d**3 + 1/20*d**5 + 0 + 0*d + 3*d**2 + j*d**4. Factor z(f).
-(f - 2)**2*(f + 1)
Determine q so that -15/2 - 5/4*q**2 + 25/4*q = 0.
2, 3
Let s(v) = 2*v**4 + 8*v**3 - 2*v - 14. Let q(r) = 4*r**4 + 16*r**3 - r**2 - 3*r - 29. Let y(g) = 6*q(g) - 13*s(g). Factor y(l).
-2*(l - 1)*(l + 1)*(l + 2)**2
Let x be (-576)/(-180) + 12/(-10). Let n(c) be the first derivative of 0*c - 3/4*c**4 - 3*c**x + 3*c**3 - 6. Solve n(v) = 0.
0, 1, 2
Suppose -3/7*h**2 + 3 + 18/7*h = 0. What is h?
-1, 7
Determine r so that 4*r**3 - 4*r**4 + 2 + 14*r + r**5 + 2*r**2 + 6*r - 25*r = 0.
-1, 1, 2
Solve 0*u**3 + 4*u**2 - 8/3*u - 4/3*u**4 + 0 = 0 for u.
-2, 0, 1
Factor -121*k + 8*k**2 + 113*k + 24 - 10*k**2.
-2*(k - 2)*(k + 6)
Let t be -69 + 60 + 454/50. Let c(f) be the first derivative of t*f**5 - 3/10*f**4 +