u**4 - 4*u**4 = 0. Calculate u.
0, 1, 2
Let a be -1 + 1*22/14. Let p(y) be the first derivative of 1/7*y**2 - 2 - 2/21*y**3 + a*y. Factor p(u).
-2*(u - 2)*(u + 1)/7
Let z = 8 + -1. Suppose -1 = -4*r + z. Factor -2*i**2 + i**r - 2*i**3 + i**3 + 0*i**2.
-i**2*(i + 1)
Factor 31 - 2*j**2 + 8*j - 17 - 20.
-2*(j - 3)*(j - 1)
Let f be (-4)/(-18) - 301/(-63). Factor 0*a**3 - 3*a + f*a**4 - 5*a**3 - 7*a**2 + 6*a + 2 + 2*a**3.
(a - 1)**2*(a + 1)*(5*a + 2)
Suppose -52 = -f - 4*v, -v - 370 = -5*f + v. Let s = f - 285/4. Factor s*d**3 + 0 + 0*d**2 - 1/4*d**4 - d.
-d*(d - 2)**2*(d + 1)/4
Let i(w) = -w**3 - 12*w**2 + 15*w + 29. Let d be i(-13). Let l be (-2)/(d - (-17)/(-4)). Let 2/5*a**2 - 8/5*a + l = 0. What is a?
2
Let c(p) be the third derivative of 1/300*p**6 - 1/60*p**4 + 1/150*p**5 - 1/15*p**3 + 0 + 0*p + 4*p**2. Find z, given that c(z) = 0.
-1, 1
Let 8*l**3 + 22*l**4 - 1 + 1 - 36*l**4 + 4*l**5 + 8*l**2 = 0. Calculate l.
-1/2, 0, 2
Let l(w) be the first derivative of -2*w + 1/15*w**3 - 2 - 1/10*w**2 - 1/60*w**4. Let y(q) be the first derivative of l(q). What is f in y(f) = 0?
1
Let x be (-2)/(-6) - (470/(-75) - -6). Factor 3/5*u**3 - 6/5*u**2 + x*u + 0.
3*u*(u - 1)**2/5
Let m(f) be the third derivative of -f**8/168 + f**7/35 - f**6/60 - f**5/10 + f**4/6 + 3*f**2. Solve m(l) = 0.
-1, 0, 1, 2
Let k(y) be the first derivative of y**6/360 + y**5/120 - y**4/12 + 5*y**3/3 + 2. Let u(w) be the third derivative of k(w). Factor u(s).
(s - 1)*(s + 2)
Let f(c) = -1 + 2*c**4 - c**2 - 7*c**4 - 5. Let a(m) = -14*m**4 - 2*m**2 - 17 + 0*m**2 - m**2. Let t(q) = -6*a(q) + 17*f(q). Solve t(d) = 0.
-1, 0, 1
Let s(u) = u**2 + 4*u + 5. Let p be s(-2). Let c be -1 - (-62)/(4/2). Factor 7*q**3 + 3*q**4 - c*q**2 - p + 9*q + 39*q**3 + 9*q**5 - 36*q**4.
(q - 1)**3*(3*q - 1)**2
Let b(s) be the second derivative of -1/24*s**4 - 1/9*s**3 - s**2 - s + 1/20*s**5 + 0. Let p(o) be the first derivative of b(o). Factor p(j).
(3*j - 2)*(3*j + 1)/3
Solve 2/5*k**2 - 8/5 + 2/5*k**3 - 8/5*k = 0.
-2, -1, 2
Let k(y) be the first derivative of -2/65*y**5 - 32/13*y**2 - 32/13*y + 2 - 16/13*y**3 - 4/13*y**4. Suppose k(d) = 0. Calculate d.
-2
Let t(b) = -b**2 - 25*b - 42. Let c be t(-23). Let h(s) be the second derivative of 3*s + 0*s**3 - 1/75*s**6 + 0*s**2 + 0 - 1/30*s**c - 1/25*s**5. Factor h(g).
-2*g**2*(g + 1)**2/5
Let m(v) = v**2 - v - 4. Let y be m(3). Let 1/3*a**3 - 4/3*a**y + 5/3*a - 2/3 = 0. Calculate a.
1, 2
Let -1 - 5 + 4*c**3 - 16*c**2 - 3 + 1 + 20*c = 0. Calculate c.
1, 2
Let y(x) = x**4 - x**3 - 3*x**2 - x + 2. Let h = -8 + 6. Let m(t) = -t**3 - t**2 - t + 1. Let k(c) = h*m(c) + 2*y(c). What is a in k(a) = 0?
-1, 1
Factor 4/7*v**2 - 32/7 + 8/7*v.
4*(v - 2)*(v + 4)/7
Let v(n) be the first derivative of -n**4/14 + 2*n**3/21 + n**2/7 - 2*n/7 + 8. Solve v(h) = 0.
-1, 1
Factor -2/7*m**3 + 2/7*m**4 - 2/7*m**2 + 0 + 2/7*m.
2*m*(m - 1)**2*(m + 1)/7
Let t be (-2)/(-5) + (-7)/((-630)/24). Determine y so that -t*y**3 + 2/3*y**2 + 0*y + 0 = 0.
0, 1
Determine f, given that f**3 + 1/5*f**2 + 4/5 - 1/5*f**5 - 1/5*f**4 - 8/5*f = 0.
-2, 1
Suppose h = -3*u - 9, -2*h = -5*h - u + 5. Let d(i) = 2*i**2 - i - 1. Let p be d(-1). Solve 4 - h + 3 + 12*l + p*l**3 + 9*l**2 = 0 for l.
-2, -1/2
Suppose -3*q + 14 = -4. Let a be q*-2*(-1)/4. Suppose -3/2*y**a - 1/4*y**4 - 3*y**2 + 0 - 2*y = 0. What is y?
-2, 0
Let v(s) be the third derivative of -s**5/120 - s**4/24 + 12*s**2. Factor v(a).
-a*(a + 2)/2
Let s = 18 + -18. Let d(b) be the second derivative of -1/3*b**3 - 1/80*b**5 + s - 1/2*b**2 + 2*b - 5/48*b**4. Factor d(v).
-(v + 1)*(v + 2)**2/4
Suppose f + a = 1, -1 = 2*f - 3*a - 8. Let 0 - 6*j + 0*j**f - 9 - j**2 + 4*j**2 = 0. Calculate j.
-1, 3
Let i(m) be the third derivative of m**6/200 - 3*m**5/100 + 3*m**4/40 - m**3/10 + 8*m**2. Let i(t) = 0. Calculate t.
1
Let v(r) be the first derivative of r**3/12 + r**2/8 - r/2 - 4. Let v(k) = 0. What is k?
-2, 1
Suppose 5*l + 5 = 10. Let q be l/(21/(-9)) + 1. Suppose q*o + 0 + 2/7*o**2 = 0. Calculate o.
-2, 0
What is l in 2/3 + 2/9*l**2 - 8/9*l = 0?
1, 3
Let l(t) = -t**3 - 7*t**2 - 7*t + 4. Let o be l(-6). Suppose 0*d - 2*f + 4 = -2*d, -3*d + 4*f = o. Determine i, given that 0 + 0*i**d + 2/9*i**3 - 2/9*i = 0.
-1, 0, 1
Let u(o) be the third derivative of 1/72*o**4 + 0 + 0*o + 0*o**3 - 1/180*o**5 - 3*o**2. Factor u(p).
-p*(p - 1)/3
Let w = -4 - -5. Let l be 1 + w + -2 + 24. Suppose -33*h**2 - 1 - 4*h + 12*h - 9*h**4 + l*h**3 + 11*h**2 = 0. What is h?
1/3, 1
Let t(q) be the second derivative of -q**7/420 - 7*q**6/360 - 7*q**5/120 - q**4/12 + 5*q**3/6 + 5*q. Let g(i) be the second derivative of t(i). Factor g(n).
-(n + 1)*(n + 2)*(2*n + 1)
Let k(p) be the second derivative of -p**6/75 - 3*p**5/25 - 2*p**4/5 - 2*p**3/3 - 3*p**2/5 - 6*p. Solve k(r) = 0 for r.
-3, -1
Solve 10*h**4 - 100*h**5 + 51*h**5 + 54*h**5 + 5*h**3 = 0.
-1, 0
Let o = 0 - 0. Let u(r) be the first derivative of o*r**2 - 2/3*r**3 + 0*r + 1. Let u(y) = 0. Calculate y.
0
Let k(o) = o - 9. Let f be k(11). Suppose 0 = -b - b + 4. What is q in 4 - q**b - q - q**f - q = 0?
-2, 1
Suppose 0*m = -3*m - 4*m. Factor 0*u + 2/5*u**3 - 2/5*u**2 - 2/5*u**5 + 2/5*u**4 + m.
-2*u**2*(u - 1)**2*(u + 1)/5
Let k(z) = z + 9. Let v be k(-7). Let d**5 - 2*d**4 - v*d**4 + 2*d**2 + d**5 - 2*d**3 + 2*d**4 = 0. What is d?
-1, 0, 1
Let u(p) be the first derivative of p**7/2520 - p**5/120 + p**4/36 + 2*p**3/3 + 2. Let k(h) be the third derivative of u(h). Factor k(w).
(w - 1)**2*(w + 2)/3
Suppose -3*u + 3*p = -3, 2*p = 2*u + 5*p - 22. Let o = 8 - u. Factor 5*f**4 + f**5 - 2*f**4 + 2*f**5 - 3*f**2 - o*f**3.
3*f**2*(f - 1)*(f + 1)**2
Let s(w) be the first derivative of -w**5 - 5*w**4 - 20*w**3/3 + 1. Factor s(v).
-5*v**2*(v + 2)**2
Let t = 2938/9 + -326. Suppose v - 6*v - 5 = -5*m, -4*v = -3*m. Factor -10/9*i**2 + t*i + 0 + 4/9*i**v.
2*i*(i - 2)*(2*i - 1)/9
Solve 12 - 9*c + 4*c**2 + 10*c + 15*c = 0 for c.
-3, -1
Let q(o) = o**2 - 7*o - 2. Let i(k) = -2*k**2 + 8*k + 2. Let f = 0 - -9. Suppose -t = 2*t - f. Let r(y) = t*i(y) + 4*q(y). Factor r(n).
-2*(n + 1)**2
Let o(a) be the first derivative of -a**4/6 + a**3/3 - a + 4. Let v(l) be the first derivative of o(l). Solve v(q) = 0.
0, 1
Suppose 7*n - 8*n = -5. Let q(s) be the third derivative of 0 + 0*s + 0*s**4 + 0*s**3 + 0*s**n + 1/240*s**6 - s**2. Factor q(i).
i**3/2
Let d(y) be the third derivative of -y**5/15 - 5*y**4/6 - 3*y**2 + 6*y. Factor d(k).
-4*k*(k + 5)
Let a(h) be the third derivative of h**6/120 + h**5/60 - h**4/24 - h**3/6 - 4*h**2. Factor a(k).
(k - 1)*(k + 1)**2
Let w(f) = -f**2 - 1. Let i(x) = 2*x**2 + 18*x + 4. Let n(z) = -i(z) - 4*w(z). Factor n(q).
2*q*(q - 9)
Factor 0*d**3 + 0*d + 5/3*d**4 + 0*d**2 + 0.
5*d**4/3
Let n = 9 - 4. Find h such that 4*h**3 - 3*h - n*h**3 + 4*h**3 - 4*h**3 - 4*h**2 = 0.
-3, -1, 0
Suppose 0 = 5*n - 3*k, 3*k = 10 + 5. Solve -n*m + 2*m**3 + 5*m**4 + 0*m**3 + 3*m**5 + 3*m = 0 for m.
-1, -2/3, 0
Suppose -7*w + 2*w = -25. What is a in -10*a - a**2 + w*a**2 + 9*a = 0?
0, 1/4
Let d(i) = -5*i**4 - 4*i**3 - 3*i**2 + 8*i. Let f(m) = -9*m**4 - 8*m**3 - 6*m**2 + 15*m + 1. Let h(n) = 7*d(n) - 4*f(n). Factor h(v).
(v - 1)*(v + 1)*(v + 2)**2
Let 0 + 5/2*n + 5/2*n**4 - 5/2*n**3 - 5/2*n**2 = 0. Calculate n.
-1, 0, 1
Factor 6*x + 0*x**2 + x**2 - 4*x**2 + 9 + 0.
-3*(x - 3)*(x + 1)
Let k be (-1 - 1)/(-2) + 2. Let j(o) = -3*o**3 + o**3 - o**4 + k*o**3. Let n(q) = q**4 - q**3. Let p(g) = 3*j(g) + 5*n(g). Suppose p(l) = 0. What is l?
0, 1
Let h(r) be the second derivative of 3*r**4/16 - r**3/2 + r**2/2 - 6*r. Factor h(v).
(3*v - 2)**2/4
Let o be -7 - -8 - (-3 + 1). Let v be (-2 + o + 1)/5. Factor 4/5*y + 2/5 + v*y**2.
2*(y + 1)**2/5
Suppose -4 - 12 = -4*i. Suppose -15*x**4 - 3*x**2 - x + 2 + x**3 + 10*x**4 + 6*x**i = 0. What is x?
-2, -1, 1
Let o = -2 + 6. Let m be ((-12)/o)/(3/(-2)). Let 1/3*z**4 + 1/3*z**3 + 0 - 1/3*z - 1/3*z**m = 0. What is z?
-1, 0, 1
Let y = -2 + 2. Let h be 3*(y - 24/(-9)). Solve -24*v - 7*v**2 + 2*v**2 - 3*v**2 - h - 2*v**2 = 0 for v.
-2, -2/5
Suppose 0 = 7*l - 6*l. Let q = 2 + l. Factor 2*m**3 - 5*m**2 + 4*m**q - 3*m**2.
2*m**2*(m - 2)
Let m = -2 + 25/12. Let y(n) be the second derivative of -n**2 - 3*n + 0 - 1/2*n**3 - m*n**4. Factor y(v).
-(v + 1)*(v + 2)
Let t = 32 + -88/3. Let l = -3/20 + 67/180. Solve -26/9*c**3 - l*c**5 + t*c**2 + 0