*z**4 + 0*z = 0.
0, 2/3, 1
Let u(t) = -57*t - 9. Let z be u(-8). Let o = z + -4913/11. Factor -2/11*v + 4/11*v**2 + 2/11*v**3 - o.
2*(v - 1)*(v + 1)*(v + 2)/11
Let m(c) be the first derivative of 0*c + 1/2*c**2 - 1 + 1/42*c**4 + 1/210*c**5 + 1/21*c**3. Let q(x) be the second derivative of m(x). Solve q(z) = 0 for z.
-1
Let h(o) be the second derivative of -o**7/168 - o**6/120 + o**5/80 + o**4/48 - 14*o. Factor h(g).
-g**2*(g - 1)*(g + 1)**2/4
Let x(d) be the first derivative of d**7/210 + d**6/60 - d**4/12 - d**3/6 + d**2 + 3. Let o(n) be the second derivative of x(n). Factor o(i).
(i - 1)*(i + 1)**3
Let t be 6/(-27)*-3*3. Factor -t*u + u**2 + 0*u**2 + 3*u + u**4 - 2*u**2 - u**3.
u*(u - 1)**2*(u + 1)
Let y(s) be the second derivative of -2*s**6/15 - s**5/5 + 9*s. Factor y(j).
-4*j**3*(j + 1)
Suppose 1 + 1 = 2*b. Let h be 0 + 4/(-8) + b. Factor -h*c**2 + 0*c + 1/2.
-(c - 1)*(c + 1)/2
Let g(c) be the third derivative of 1/60*c**6 - 1/6*c**4 + 1/30*c**5 - 3*c**2 + 0*c**3 + 0*c + 0. Factor g(y).
2*y*(y - 1)*(y + 2)
Let o(d) be the third derivative of -1/10*d**5 + 1/4*d**3 + 0 - 5/448*d**8 - 6*d**2 + 3/32*d**4 - 11/80*d**6 + 0*d - 9/140*d**7. Factor o(b).
-3*(b + 1)**4*(5*b - 2)/4
Let g(h) be the first derivative of h**4/4 - h**3 + h**2 + 2*h - 4. Let w be g(2). Factor 2*k**2 + k**w - k - 5*k + 0 + 3.
3*(k - 1)**2
Let x(t) = 2*t + 5. Let y be x(5). Suppose 2*v + v - y = 0. What is m in -m - 3*m**3 - m**v + m**3 - 1 - m**4 + 4*m**3 + 2*m**2 = 0?
-1, 1
Solve 4*p**2 + 5/3*p**3 + 3*p + 2/3 = 0 for p.
-1, -2/5
Let m(s) be the first derivative of -s**3 + 3*s**2/2 + 6*s - 6. Factor m(q).
-3*(q - 2)*(q + 1)
Factor -1/3 + 1/2*c - 1/6*c**2.
-(c - 2)*(c - 1)/6
Let u(q) = -3*q**4 + 3*q**3 - 3*q**2 + 3*q. Let f(h) = h**2 - h. Let k(z) = -z**3 + z**2 + 4*z. Let c be k(3). Let s(o) = c*f(o) - u(o). Factor s(d).
3*d*(d - 1)**2*(d + 1)
Let u be (1 - -7)*(-1)/(-2). Suppose k + u*k + 9 = 2*s, 5*k - 5 = -5*s. Suppose 8*n**3 + n**3 - 2*n**s + n - 4*n**2 = 0. What is n?
0, 1/3
Let d(p) = -7*p**3 + 7*p. Let g(v) = -20*v**3 + 20*v. Let u(w) = -8*d(w) + 3*g(w). Determine q so that u(q) = 0.
-1, 0, 1
Let u(k) = -4*k + 2. Let p be u(2). Let m = p + 8. Solve 4/7*j - 2/7*j**m + 2/7*j**5 + 0 + 2/7*j**4 - 6/7*j**3 = 0 for j.
-2, -1, 0, 1
Find k, given that -3*k + 12 - 10*k**2 - 34*k + 21*k**3 - 17*k**2 + k = 0.
-1, 2/7, 2
Let m = 226 + -224. Factor 2*r**m + 4/3 - 14/3*r.
2*(r - 2)*(3*r - 1)/3
Let p(d) be the third derivative of d**7/70 + d**6/20 - d**5/20 - d**4/4 - 5*d**2. Solve p(i) = 0 for i.
-2, -1, 0, 1
Let 5 + 8*f**4 + 0*f**4 - 19*f**2 + 9*f**2 - 3*f**4 = 0. What is f?
-1, 1
Let f(r) be the third derivative of 0 - 1/48*r**5 + 0*r + 0*r**3 - 3/160*r**6 + 1/168*r**7 + 1/192*r**8 + 1/48*r**4 + 2*r**2. Find n such that f(n) = 0.
-1, 0, 2/7, 1
Let j(s) be the third derivative of s**6/220 - s**5/330 + 19*s**2. Factor j(h).
2*h**2*(3*h - 1)/11
Let c(k) = 2*k + 7. Let h be c(-2). Let -72/7*a**2 + 32/7*a**5 + 194/7*a**h - 144/7*a**4 + 0 + 8/7*a = 0. What is a?
0, 1/4, 2
Let y(s) be the second derivative of -s**6/15 + s. Solve y(i) = 0 for i.
0
Let g = 33 - 65/2. Factor -1/2*j**4 - j**3 + 0*j**2 + g + j.
-(j - 1)*(j + 1)**3/2
Let s(n) be the first derivative of 1 - 1/24*n**4 + 0*n**3 + 3/2*n**2 + 1/60*n**5 + 0*n. Let w(p) be the second derivative of s(p). Let w(z) = 0. What is z?
0, 1
Let w(u) be the first derivative of u**3/3 + 3*u**2/2 - 4*u + 37. Find j such that w(j) = 0.
-4, 1
Solve -14/3*x - 8/3 + 19/3*x**3 + 25/3*x**2 - 17/3*x**4 - 5/3*x**5 = 0.
-4, -1, -2/5, 1
Let t = 847/4 - 211. Find h such that 3/4*h**2 + t + 3/2*h = 0.
-1
Let z(b) be the second derivative of -b**7/70 - 2*b**6/75 + b**5/25 + b**4/10 - b**3/30 - b**2/5 - 3*b. Suppose z(d) = 0. What is d?
-1, 2/3, 1
Let p(a) be the first derivative of -2/3*a**3 + 0*a + 2/5*a**5 - 3 - 2*a**2 + a**4. Factor p(w).
2*w*(w - 1)*(w + 1)*(w + 2)
Solve -30*t**2 + 8/3 - 16/3*t - 98/3*t**4 + 196/3*t**3 = 0.
-2/7, 2/7, 1
Let c = 1549/89683 - 3/263. Let z = c - -2722/1023. Factor 22/3*j**3 - z*j + 0 + 4*j**4 - 6*j**5 - 8/3*j**2.
-2*j*(j - 1)**2*(3*j + 2)**2/3
Let v(m) be the first derivative of m**4/48 + m**3/12 + m**2/8 - m - 3. Let r(b) be the first derivative of v(b). Find n such that r(n) = 0.
-1
Let c(a) = a**2 + a + 1. Let n(i) = 5*i**2 + 3*i - 4. Let l(p) = p + 6. Let q be l(-5). Let t(j) = q*n(j) + 2*c(j). Factor t(s).
(s + 1)*(7*s - 2)
Let j(t) be the first derivative of -4*t**3/27 + 5*t**2/9 + 2*t/3 - 4. Find k such that j(k) = 0.
-1/2, 3
Suppose 3*x = -x + 8. Find r, given that 8/3*r**3 + 0 - 4/3*r**x - 5/3*r**4 + 0*r + 1/3*r**5 = 0.
0, 1, 2
Let h(b) be the third derivative of b**9/75600 - b**8/33600 + b**4/24 - b**2. Let t(f) be the second derivative of h(f). Factor t(k).
k**3*(k - 1)/5
Let a(v) be the first derivative of 2/5*v + 7/10*v**2 + 1 - 4/15*v**3. Factor a(q).
-(q - 2)*(4*q + 1)/5
Let p(f) be the second derivative of -f**6/60 + f**5/40 + f**4/24 - f**3/12 - 3*f. Determine y, given that p(y) = 0.
-1, 0, 1
Let v(j) = -5*j**4 - 6*j**3 - 3*j**2 + 2*j - 2. Let m = 4 - 1. Let t(i) = 6*i**4 + 6*i**3 + 3*i**2 - 3*i + 3. Let c(w) = m*v(w) + 2*t(w). Factor c(z).
-3*z**2*(z + 1)**2
Solve 2*s**3 + 4*s - 5*s**5 - s**5 + 10*s**4 - 8*s**2 - 2*s**2 = 0.
-1, 0, 2/3, 1
Let b(r) be the third derivative of -r**7/315 + r**5/18 - 4*r**3/9 - 3*r**2. Let b(d) = 0. Calculate d.
-2, -1, 1, 2
Let h be -7 + 14 - (7 - 2). Factor 0 + 0*x - 1/4*x**h.
-x**2/4
Let r = -201 - -203. Factor 70/3*v**4 - 4/3*v - 25/3*v**5 + 28/3*v**r + 0 - 23*v**3.
-v*(v - 1)**2*(5*v - 2)**2/3
Let u(i) = i**4 + 58*i**3 + 6*i**2 - 58*i - 21. Let t(r) = -2*r**4 - 58*r**3 - 6*r**2 + 58*r + 20. Let b(m) = 7*t(m) + 6*u(m). Suppose b(o) = 0. What is o?
-7, -1, -1/4, 1
Let k = 444449/84 - 5291. Let w(z) be the third derivative of 3*z**2 - 1/21*z**3 + k*z**4 - 4/105*z**5 + 0 + 1/105*z**6 + 0*z. Factor w(s).
2*(s - 1)*(2*s - 1)**2/7
Factor -5 - 75*q**4 - 27 + 244*q**3 + 176*q - 13*q**4 + 12*q**5 - 312*q**2.
4*(q - 2)**3*(q - 1)*(3*q - 1)
Let l be -2 - (0 - 1)*5. Suppose 2*t - l*m - 6 = -0*m, t + 3*m = 3. Factor 2*q**2 - 2*q**t + 3*q**5 + 0*q**5 - q**5 - 2*q**4.
2*q**2*(q - 1)**2*(q + 1)
Let u(f) = 4*f - 3. Let t(v) = v**2 + 1. Let d(i) = -2*t(i) + 2*u(i). Factor d(b).
-2*(b - 2)**2
Let a(t) be the third derivative of t**5/60 - t**4/24 - t**3/3 + 8*t**2. Suppose a(p) = 0. Calculate p.
-1, 2
Let w(n) = n + 6. Let l = 2 - 6. Let s be w(l). Solve 8*m**4 - 3*m**5 + 4*m**2 + 3*m**s - 5*m**2 - 7*m**3 = 0 for m.
0, 2/3, 1
Let u be (11 - 13) + 5/1. Solve -17*o - 81/4*o**4 + 117/4*o**u + 2 + 61/2*o**2 = 0 for o.
-1, 2/9, 2
Let r(u) be the third derivative of u**8/26880 - u**7/10080 - u**6/2880 + u**5/480 + u**4/6 + u**2. Let v(h) be the second derivative of r(h). Factor v(i).
(i - 1)**2*(i + 1)/4
Let f be (3/(-4))/(2/(-8)). Suppose 5*w - 2*w + f*m = 18, w = 4*m - 4. Factor -w*l**3 - l**5 + 11*l**4 - 1 - l**5 - 1 - 5*l**4 + 6*l - 4*l**2.
-2*(l - 1)**4*(l + 1)
Let n(t) be the second derivative of t**5/100 - t**3/30 + 2*t. Factor n(d).
d*(d - 1)*(d + 1)/5
Let f(j) be the third derivative of 1/72*j**4 + 1/360*j**6 + 0 + 0*j + 1/90*j**5 + 3*j**2 + 0*j**3. Solve f(z) = 0 for z.
-1, 0
Let h = -12 + 18. Let a(r) be the third derivative of 1/84*r**4 - 1/420*r**h - 1/105*r**5 + 0 - 3*r**2 + 0*r + 2/21*r**3. Factor a(f).
-2*(f - 1)*(f + 1)*(f + 2)/7
Find f such that 0*f**2 + 1/4*f**4 + 0*f**3 + 0 - 1/4*f**5 + 0*f = 0.
0, 1
Let f = -43 + 68. Solve f*t**2 + 12 + 89*t**3 - 60*t**5 + 84*t + 76*t**3 + 176*t**2 - 24*t**4 = 0.
-1, -1/2, -2/5, 2
Factor -4/3*k - 2/3*k**3 + 2*k**2 + 0.
-2*k*(k - 2)*(k - 1)/3
Let n(q) be the second derivative of -q**7/84 + q**6/20 - q**5/40 - q**4/8 + q**3/6 - 38*q. Find r such that n(r) = 0.
-1, 0, 1, 2
Let u(n) be the second derivative of n**5/10 + n**4/90 - 2*n**3/45 + 12*n. Factor u(z).
2*z*(3*z - 1)*(5*z + 2)/15
Suppose 3 = 2*d + 2*d - t, 2*d + 2*t = 14. Let u(a) be the second derivative of 1/8*a**4 - 1/2*a**2 + 0 + d*a + 1/12*a**3. Solve u(n) = 0.
-1, 2/3
Let c(k) be the second derivative of k**5/20 - k**3/6 + 6*k. Factor c(p).
p*(p - 1)*(p + 1)
Let z(s) be the first derivative of -s**5 - 5*s**4/4 + 5*s**3 + 25*s**2/2 + 10*s + 27. Factor z(u).
-5*(u - 2)*(u + 1)**3
Suppose 4*z - 9 = z. Suppose 3*r - 17 = o, z*r + 3*o - 7 = 2*o. Factor 0*x**3 - 4/7*x**2 - 2/7*x**5 +