Factor -4*q**2 + z - 239.
-4*q**2
Let u(b) be the second derivative of -2*b**2 + 1/4*b**4 - 1/30*b**6 + 0 - 1/10*b**5 + 2/3*b**3 + 2*b. Factor u(d).
-(d - 1)**2*(d + 2)**2
Let p(q) be the first derivative of 1/6*q**3 + 10 + q + 3/4*q**2. Factor p(x).
(x + 1)*(x + 2)/2
Let m(n) = 5*n**2 + 2*n - 1. Let a(s) = s**3 - 6*s**2 - 3*s + 1. Let i(t) = -2*a(t) - 3*m(t). Factor i(b).
-(b + 1)**2*(2*b - 1)
Let u(z) be the second derivative of z**6/360 + z**5/30 + z**4/6 + z**3/6 + 2*z. Let r(j) be the second derivative of u(j). Solve r(q) = 0 for q.
-2
Suppose 0 = 2*z + 4*q + 8, 0 = 6*z - 7*z + 3*q + 11. Factor 2/3*f + 0 - 2/3*f**z.
-2*f*(f - 1)/3
Let z(c) be the third derivative of 0*c + 0*c**3 - 1/72*c**4 - 1/360*c**6 + c**2 + 0 + 1/90*c**5. Factor z(b).
-b*(b - 1)**2/3
Solve 2/5*y**3 - 4/5 + 4/5*y**2 - 2/5*y = 0.
-2, -1, 1
Let c(f) be the third derivative of -f**8/60480 + f**7/2520 - f**6/240 + f**5/30 - f**2. Let a(m) be the third derivative of c(m). Factor a(t).
-(t - 3)**2/3
Let f = -32 - -30. Let v be 0 - 1 - f*2. Factor -1 + 7/4*t**2 - v*t.
(t - 2)*(7*t + 2)/4
Solve 16/5*s**4 + 4/5*s**5 + 0 + 4*s**3 + 8/5*s**2 + 0*s = 0 for s.
-2, -1, 0
Let t(o) = o**2 - o. Let l(a) = 14*a**2 - 2*a + 2. Let p(k) = -2*l(k) + 18*t(k). Factor p(f).
-2*(f + 1)*(5*f + 2)
Let u(h) be the first derivative of h**4/5 + 8*h**3/15 + 2*h**2/5 - 17. Determine o, given that u(o) = 0.
-1, 0
Let s(d) = d**3 - 14*d**2 + 6*d - 5. Let j be s(14). Suppose -4*w + 5 = -3. Solve 84*r - 2 + 133*r**w + 27*r**4 + 129*r**2 + 126*r**3 + 14 - j*r**2 = 0.
-2, -1/3
Let q be (1 - 1)/(1 + -5 + 3). Factor -2/5*a**4 - 6/5*a**2 + 6/5*a**3 + 2/5*a + q.
-2*a*(a - 1)**3/5
Let y be 18/(-162) - ((-6)/(-8))/(-3). Let j(v) be the third derivative of -1/18*v**3 + 5/36*v**4 + 0 + v**2 - y*v**5 + 0*v. Suppose j(z) = 0. Calculate z.
1/5
Let c be 16/(-6)*450/(-24). Let v be c/84 - (-39)/(-91). Find w such that 2/3*w - 5/6*w**3 - w**2 + 4/3 - v*w**4 = 0.
-2, 1
Let a(y) = -y**2 + 6*y + 3. Let c be a(6). Let f be ((-2)/c)/(3/(-27)). Let 5 - 3 - f*d**2 + 0*d + 4*d = 0. What is d?
-1/3, 1
Solve 0 + 0*x - 4/17*x**2 - 2/17*x**3 = 0 for x.
-2, 0
Let q(j) = 3*j**2 - 5*j. Let i(h) = -3*h**2 + 6*h. Let s(o) = -5*i(o) - 6*q(o). Factor s(b).
-3*b**2
Let q = -75 - -301/4. Suppose -1/4*u**2 + 0 - q*u = 0. Calculate u.
-1, 0
Suppose -21 = 55*t - 21. Find g, given that -2/7*g**2 + t*g**3 + 0*g + 1/7 + 1/7*g**4 = 0.
-1, 1
Suppose 1/3*r - 1/3*r**2 + 2/3 = 0. Calculate r.
-1, 2
Let x = 56 - 54. Let s(n) be the third derivative of 1/70*n**7 + 0 - 5/24*n**4 + 2*n**x + 1/24*n**6 - 1/60*n**5 - 1/3*n**3 + 0*n. Factor s(b).
(b - 1)*(b + 1)**2*(3*b + 2)
Let a = 1865/9 + -207. Let w(p) be the first derivative of 0*p + 0*p**2 - 1/9*p**6 - 1/2*p**4 - 2/5*p**5 + 2 - a*p**3. Factor w(l).
-2*l**2*(l + 1)**3/3
Factor 5*b**3 + 22*b**2 + 2*b + 3*b - 2*b + 5*b.
b*(b + 4)*(5*b + 2)
Let q be 60/(-63) + 2 + -1. Let w(g) be the second derivative of 4/105*g**6 + 2*g - q*g**3 + 1/21*g**4 + 0 + 1/10*g**5 + 0*g**2. Suppose w(k) = 0. Calculate k.
-1, 0, 1/4
Let j(f) = f**3 - 11*f**2 + 11*f - 9. Let p be j(10). Let z(x) be the first derivative of -1/3*x**3 - p + 1/2*x**2 + 2*x. Factor z(y).
-(y - 2)*(y + 1)
Let m(j) be the second derivative of -j**5/5 - 2*j**4/3 - 2*j**3/3 - 3*j. Let m(b) = 0. What is b?
-1, 0
Factor 0 + 2*s - 1/2*s**4 - 1/2*s**3 + 2*s**2.
-s*(s - 2)*(s + 1)*(s + 2)/2
Let o(k) be the second derivative of -k**5/70 - k**4/42 + 2*k**3/21 + 15*k. Determine a, given that o(a) = 0.
-2, 0, 1
Let z(y) be the third derivative of -y**9/30240 + y**7/2520 - y**5/60 - 2*y**2. Let r(w) be the third derivative of z(w). Factor r(f).
-2*f*(f - 1)*(f + 1)
Let k(h) be the second derivative of 0*h**3 + 1/105*h**6 + 0*h**4 - h - 1/70*h**5 + 0*h**2 + 0. Factor k(g).
2*g**3*(g - 1)/7
Suppose 4*h + 108 = -8. Let t = 31 + h. Let -2/3*d**t + 0*d - 2*d**4 + 8/3*d**3 + 0 = 0. Calculate d.
0, 1/3, 1
Let i(h) = -h**2 - h. Let p(s) = -4*s**3 - 30*s**2 - 74*s - 48. Let o(y) = -6*i(y) - p(y). Suppose o(a) = 0. Calculate a.
-6, -2, -1
Let u(w) = -w - 2. Let m be u(-2). Let q(y) be the first derivative of 1/8*y**2 + m*y + 1/16*y**4 - 1/6*y**3 - 1. Let q(a) = 0. Calculate a.
0, 1
Let t be (-9)/(-5) + 1/5. Solve -2 + 8*v - 6 + 2*v**2 - 4*v**t = 0.
2
Suppose -4*k = k - 35. Determine t so that -3*t + t**2 - t - k*t**2 - 2*t**3 + 0*t = 0.
-2, -1, 0
Let c(f) be the second derivative of f**5/5 - f**4/18 - 2*f**3/3 + f**2/3 + 15*f. Determine n, given that c(n) = 0.
-1, 1/6, 1
Factor -1/4*y**2 + 1/4 + 0*y.
-(y - 1)*(y + 1)/4
Suppose 5*k = 0, 3*c - 2*k + 4*k - 9 = 0. Let w be c + 0 - (-1 + 1). Factor -4*p**2 + 2*p**2 + w*p**2 - p.
p*(p - 1)
Factor 4/5*y**2 + 8/5*y + 4/5.
4*(y + 1)**2/5
Let q(j) be the second derivative of -j**7/147 - j**6/35 - j**5/35 + 16*j. Find l such that q(l) = 0.
-2, -1, 0
Suppose 0 = -3*s - 3 - 9. Let h be (-25)/(-10) - (-2)/s. Let 5 + 4*v + 1 + 4*v - 3*v**h - 5*v = 0. What is v?
-1, 2
Let s(c) be the third derivative of c**5/60 - c**4/24 + c**2. Let u(q) = -2*q**3 - 12*q - 2. Suppose 1 = 3*j + 4. Let g(r) = j*u(r) + 6*s(r). Factor g(f).
2*(f + 1)**3
Let n(w) = w**2 - 13*w + 4. Let v(u) = 2*u**2 - 26*u + 7. Let f(t) = 5*n(t) - 2*v(t). Let k be f(13). Suppose -4*r**2 + k*r**2 - 4*r**2 = 0. What is r?
0
Let a(y) be the third derivative of -y**5/390 + y**4/26 - 3*y**3/13 + 10*y**2. Factor a(d).
-2*(d - 3)**2/13
Let m**3 - 5*m**5 + 9*m**5 + 4*m - 9*m**3 = 0. Calculate m.
-1, 0, 1
Let a = -3 + 6. Suppose 4 + s**2 + s**a - 3*s**2 - s**2 = 0. What is s?
-1, 2
Suppose 0 = -3*a + 4*q - 6, -18 = 4*a - 2*a + 2*q. Let l be (12/(-27))/(4/a). Determine c, given that -l*c**3 + 0*c + 0*c**2 - 32/3*c**5 + 0 + 16/3*c**4 = 0.
0, 1/4
Let w = 20 - 28. Let n = w - -8. Solve 2/7*k**5 - 4/7*k**2 - 2/7*k + n + 4/7*k**4 + 0*k**3 = 0.
-1, 0, 1
Let y(b) be the first derivative of 4*b**3/3 + 8*b**2 + 16*b - 1. Factor y(w).
4*(w + 2)**2
Let 13*c**3 + 3*c**2 + 5*c**2 - 10*c**5 - 5*c**4 + 2*c**3 - 3*c**2 - 5*c = 0. Calculate c.
-1, 0, 1/2, 1
Let b be (-2 + -1)/6*-8. Suppose -2*d = -b*d. Factor 2/7*m**3 - 2/7*m**2 + 0*m + d.
2*m**2*(m - 1)/7
What is p in 14 - p + 7 + p**2 - 21 = 0?
0, 1
Let j be 4/(-3)*(-12)/(-4). Let k(f) = -f**3 - 3*f**2 + 2*f - 5. Let y be k(j). Determine c so that 28*c**3 + 48*c**2 + 21*c**3 + 8*c + 21*c**y = 0.
-2/5, -2/7, 0
Suppose -3*o = 3*f + 6, -8 = f - 5*o - 0. Let w be (f/(-4))/((-12)/(-104)). Factor 1/2*y**4 + 3*y**3 + 6*y + w*y**2 + 2.
(y + 1)**2*(y + 2)**2/2
Let p(i) be the third derivative of 1/60*i**6 + 1/30*i**5 + i**2 + 0 + 0*i**3 - 1/105*i**7 + 0*i**4 + 0*i - 1/168*i**8. Find c, given that p(c) = 0.
-1, 0, 1
Factor 0*i + 2/5*i**2 + 0 + 3/5*i**3.
i**2*(3*i + 2)/5
Let l(r) be the second derivative of -r**5/90 + 5*r**4/54 - 4*r**3/27 - 8*r. Suppose l(z) = 0. Calculate z.
0, 1, 4
Suppose 0 = 4*y + 4, -5*n + 50 = -6*y + y. Factor n*t + 4 + 4*t**2 - 3*t - 2*t**2.
2*(t + 1)*(t + 2)
Let h(r) = -r**3 - 13*r**2 + 3. Let c be h(-13). Let t(w) be the first derivative of 3 - w**2 - 8*w**4 - 16/3*w**c + 0*w. Let t(l) = 0. Calculate l.
-1/4, 0
Let a be ((-3)/27)/((-26)/664). Let d = a - 34/13. Factor d - 2/9*l**2 + 0*l.
-2*(l - 1)*(l + 1)/9
Let 3/4*k + 0 - 33/8*k**2 = 0. Calculate k.
0, 2/11
Let v(x) be the first derivative of 0*x + 3*x**2 + 3 + x**3 - 3/4*x**4. Factor v(t).
-3*t*(t - 2)*(t + 1)
Suppose -3*l = -2*n - 62, -2*l - 5*n + 95 = 3*l. Let t be 5/(-2)*(-2)/l. Factor -t*a**3 - 3/4*a + 1/4 + 3/4*a**2.
-(a - 1)**3/4
Let v be (-2)/(2*(-3)/(-75)). Let t be (20/v)/(2/(-10)). Suppose -6*w**3 - t*w**2 - 3*w**3 - 2*w**4 + 3*w**3 = 0. What is w?
-2, -1, 0
Let d(p) = -p + 1. Let c be d(3). Let v be (2 - -2)/c + 4. Factor -8*g**4 - v*g**4 - 3*g**2 + 2*g + 3*g**4 - 12*g**3.
-g*(g + 1)**2*(7*g - 2)
Let y(r) = -4*r**2 + 3*r + 4. Let k(m) = 0 + m**2 - 2*m**2 + m + 1. Let s(w) = 3*k(w) - y(w). Determine u so that s(u) = 0.
-1, 1
Let p(t) = -t**3 + 4*t**2 - t - 3. Let y be p(3). What is j in 2*j**2 + y*j - j**5 + 0*j**5 - 3*j**4 + 0*j**5 - 2*j**3 + 1 = 0?
-1, 1
Let v = 168 + -1007/6. Let j(h) be the second derivative of 0 + 0*h**2 + v*h**4 - h + 1/20*h**5 + 1/6*h**3. Factor j(u).
u*(u + 1)**2
Let i(u) = -1. Let g(c) = -c**2 - 7*c - 3. Let n(f) = -g(f) + 3*i(f). Solve n(l) = 0 for l.
-7, 0
Let y(u) = -19*u**4 + 26*u**3 - 34*u**2 - 4*u + 10. Let f(p) = 6*p**4 - 9*p**3 + 11*p**2 +