1, 0, 1
Find y such that -30*y**3 - 4*y**4 + 30*y**3 - 3*y**2 + 2*y + 5*y**4 = 0.
-2, 0, 1
Let l(t) = -41*t**4 + 60*t**3 - 28*t**2 + 9*t. Let q(b) = 21*b**4 - 30*b**3 + 14*b**2 - 5*b. Let a(x) = 3*l(x) + 5*q(x). Solve a(m) = 0 for m.
0, 1/3, 1
Determine r, given that 1/11*r**3 + 0 + 0*r + 1/11*r**2 = 0.
-1, 0
Suppose -5*h = -5*c - 5 - 0, 0 = 5*c - 2*h - 7. Factor 3*l**2 + 33 + l**2 + c - 24*l.
4*(l - 3)**2
Let z = 6 - 5. Let d(v) = 2*v. Let c be d(z). Factor -4*s + 7*s**c - 2*s**4 + 6*s**2 - 11*s**2 + 4*s**3.
-2*s*(s - 2)*(s - 1)*(s + 1)
Let x = -51 + 53. Factor -2/3*k - 2/3*k**x + 0.
-2*k*(k + 1)/3
Let a = -7 - -11. Let i = a - 4. Find p such that 4*p**4 - 9*p**2 + i*p**2 + 6*p**3 - 8*p - 2*p**5 + p**2 = 0.
-1, 0, 2
Let n(l) be the first derivative of -l**7/2520 - l**6/360 - l**5/120 - l**4/72 + l**3/3 - 2. Let d(f) be the third derivative of n(f). Factor d(g).
-(g + 1)**3/3
Let k(f) be the first derivative of -f**8/1344 + f**7/840 + f**6/160 - f**5/48 + f**4/48 - 2*f**2 + 2. Let z(p) be the second derivative of k(p). Factor z(j).
-j*(j - 1)**3*(j + 2)/4
Let c(n) be the second derivative of -2*n**7/21 - 26*n**6/15 - 58*n**5/5 - 106*n**4/3 - 170*n**3/3 - 50*n**2 - 13*n - 1. Solve c(v) = 0 for v.
-5, -1
Let i be (-8)/(-52) - (-8)/(-52). Let t(f) be the first derivative of 2/9*f**3 + 3 - 1/6*f**2 - 1/12*f**4 + i*f. Solve t(p) = 0.
0, 1
Let 5/2*m + 1/2 + 2*m**2 = 0. Calculate m.
-1, -1/4
Suppose 5*c + 4*l = 15, 0*l = -2*l - 10. Suppose 5*m - 13 = c. Factor -2 - 2 - m*d + 6 + 2*d**2.
2*(d - 1)**2
Let s = -2 - -6. Let -s*l - 3*l**2 + 3*l**3 - l**3 + 5*l**2 = 0. What is l?
-2, 0, 1
Let o(r) be the second derivative of -r**6/120 - r**5/20 - r**4/8 + r**3/6 + 3*r. Let j(h) be the second derivative of o(h). Factor j(b).
-3*(b + 1)**2
Suppose -3*i + 4*u = -3, -3*i + 4 - 1 = 5*u. Factor -5*h + 1 + 6 - i - 16*h - 27*h**2.
-3*(h + 1)*(9*h - 2)
Let b(i) = i**2 - i + 1. Let c be b(4). Solve c*o**3 - 20*o**5 + 12*o**4 - 3*o**3 - o**3 - o**3 = 0.
-2/5, 0, 1
Factor -12*b**2 - 22*b**4 + 12*b**3 + b + 3*b + 18*b**4.
-4*b*(b - 1)**3
Let j be 0 - (3 + 445/(-123)). Let u = j - -2/41. Determine o so that 0 - u*o**3 + 0*o**2 + 2/3*o = 0.
-1, 0, 1
Let j = -12/85 - -1833/340. Factor -3/2 + j*a - 6*a**2 + 9/4*a**3.
3*(a - 1)**2*(3*a - 2)/4
Let s(r) = -6*r**4 + 4*r**3 - 3*r**2 - 4*r. Let v(i) = 3*i**4 - 2*i**3 + i**2 + 2*i. Let l(b) = 4*s(b) + 9*v(b). Factor l(t).
t*(t - 1)*(t + 1)*(3*t - 2)
Let i(y) be the first derivative of -y**6/105 - y**5/35 + 2*y**3/21 + y**2/7 - 5*y + 2. Let f(n) be the first derivative of i(n). What is u in f(u) = 0?
-1, 1
Let m(d) be the third derivative of d**11/33264 - d**10/6300 + d**9/3360 - d**8/5040 + d**5/15 - 2*d**2. Let a(r) be the third derivative of m(r). Factor a(h).
2*h**2*(h - 1)**2*(5*h - 2)
Let f(c) be the third derivative of c**8/48 + 38*c**7/315 + c**6/18 - 7*c**5/18 - 41*c**4/72 - c**3/3 - 18*c**2. Solve f(v) = 0 for v.
-3, -1, -1/3, -2/7, 1
Let i(d) = -d**2 - 10*d - 12. Let h be i(-8). Factor h + l**4 + 0*l**4 - 7*l - 5*l + 13*l**2 - 6*l**3.
(l - 2)**2*(l - 1)**2
Suppose -2*p = 2, -2*f + 2 = -5*p - 3. Let x(h) be the third derivative of 1/240*h**5 + 1/480*h**6 + 0 + f*h**4 + h**2 + 0*h**3 + 0*h. Factor x(r).
r**2*(r + 1)/4
Let k be 6/33 + (-86)/(-11). Let t be (k/(-3))/(8/(-12)). Factor -2*x**3 + 2*x + x**4 - 2*x**2 - t*x**2 + x**4 + 4.
2*(x - 2)*(x - 1)*(x + 1)**2
Suppose 0 = 3*w - 4*w. Let 3/5*v**2 + w - 6/5*v = 0. Calculate v.
0, 2
Let k be (-1)/2*(-4 + 4). Factor k*j + 0 - 2/5*j**2 + 2/5*j**5 + 6/5*j**3 - 6/5*j**4.
2*j**2*(j - 1)**3/5
Suppose l = -4*l + 55. Factor l*t**4 + 34*t**4 + 14*t**3 + 25*t**5 + 4*t**2 + 10*t**3.
t**2*(t + 1)*(5*t + 2)**2
Let g(n) be the second derivative of 5*n**7/84 - 7*n**6/60 - 13*n**5/40 + 11*n**4/24 + 2*n**3/3 - n**2 + 13*n. What is y in g(y) = 0?
-1, 2/5, 1, 2
Let u be (-126)/(-240) + 1/(-8). Let g(n) be the second derivative of 0 + 1/15*n**6 + n - u*n**5 + n**4 + n**2 - 4/3*n**3. Solve g(q) = 0 for q.
1
Let q(p) be the first derivative of 3*p**5/25 - p**4/10 - 7*p**3/15 - p**2/5 - 4. Factor q(v).
v*(v - 2)*(v + 1)*(3*v + 1)/5
Let g(y) be the first derivative of -3*y**4/20 + 4*y**3/5 - 9*y**2/10 - 5. Suppose g(w) = 0. Calculate w.
0, 1, 3
Let 7*k**2 + 5 + 6*k**2 - 18*k**2 = 0. Calculate k.
-1, 1
Let n(b) be the first derivative of -b**3/6 + b/2 + 9. Find p such that n(p) = 0.
-1, 1
Let p be 810/450*5/2. Find g such that -p*g - 3/2*g**2 - 3 = 0.
-2, -1
Let z be 4/(-20)*3/(-54). Let v(a) be the second derivative of -2*a + 1/54*a**4 + 0 - 1/135*a**6 - z*a**5 + 0*a**2 + 0*a**3 + 1/189*a**7. Factor v(r).
2*r**2*(r - 1)**2*(r + 1)/9
Let k(o) be the third derivative of o**7/630 - o**6/180 - o**5/60 + o**4/9 - 2*o**3/9 - 23*o**2. Suppose k(r) = 0. Calculate r.
-2, 1, 2
Let l(t) be the first derivative of -t**7/84 + t**5/40 + t - 3. Let w(d) be the first derivative of l(d). Suppose w(p) = 0. What is p?
-1, 0, 1
Let r(n) be the third derivative of -n**5/6 + n**4/4 + 2*n**3/3 - 7*n**2. Factor r(g).
-2*(g - 1)*(5*g + 2)
Let l be 2 - 1/((-24)/(-33)). Let m(i) be the first derivative of i + 2*i**3 + l*i**4 + 9/4*i**2 + 1. Solve m(d) = 0.
-1, -2/5
Let w(m) be the first derivative of 0*m - 2/27*m**3 - 3 - 1/18*m**4 + 0*m**2. Factor w(b).
-2*b**2*(b + 1)/9
Let r(h) be the third derivative of -h**8/2520 + h**7/630 - h**5/90 + h**4/36 + h**3/2 - 2*h**2. Let j(x) be the first derivative of r(x). Factor j(s).
-2*(s - 1)**3*(s + 1)/3
Let r(p) = 2*p - 8. Let n be r(8). Let -4 - l**2 - 4*l + n*l + 0*l**2 + 0*l = 0. Calculate l.
2
Let f(z) be the first derivative of -4*z**5/5 + 3*z**4 - 4*z**3 + 2*z**2 - 27. Factor f(v).
-4*v*(v - 1)**3
Let o = 128 + -126. Let r be -2 + (-26)/(-4) - 2. Find k, given that -r*k + 2*k**o - 1/2*k**3 + 1 = 0.
1, 2
Suppose r + 5*u = 0, 4*r = u + 9 + 12. Let k be 6*1*r/15. Factor 0 - 1/4*w**k + 0*w.
-w**2/4
Let a(t) be the second derivative of -2/3*t**3 - t**2 + 0 - t - 1/6*t**4. Factor a(v).
-2*(v + 1)**2
Let q(g) be the third derivative of 0 - 1/4*g**4 + 1/168*g**8 + 1/15*g**5 + g**2 + 0*g + 1/3*g**3 - 1/35*g**7 + 1/30*g**6. Find s, given that q(s) = 0.
-1, 1
Let x(u) be the second derivative of 0*u**3 + u + u**2 - 1/96*u**4 - 1/240*u**5 + 0. Let g(c) be the first derivative of x(c). Factor g(b).
-b*(b + 1)/4
Let n = -12 + 25/2. Let g(f) be the second derivative of -n*f**4 + 3/20*f**5 + 1/10*f**6 + 0 + 0*f**2 + f + 0*f**3. Factor g(q).
3*q**2*(q - 1)*(q + 2)
Let u(l) be the first derivative of l**5 - 13*l**4/4 - 2*l**3 + 10*l**2 + 8*l + 17. Find y such that u(y) = 0.
-1, -2/5, 2
Let o(u) be the first derivative of -10 + 2/15*u**3 + 1/5*u**2 + 0*u. Factor o(y).
2*y*(y + 1)/5
Let g(t) = -20*t**5 + 40*t**4 + 20*t**3 - 35*t**2 - 5. Let k(j) = -j**5 + j**4 + j**3 - 1. Let r(n) = -g(n) + 25*k(n). Suppose r(m) = 0. Calculate m.
-2, -1, 1
Let s be (-6 - -3)/((-63)/12). Solve -2/7*w + 0 + s*w**2 - 2/7*w**3 = 0 for w.
0, 1
Let n be -7 + 9 + (-6)/(-2). Let v(q) = -q**3 + 5*q**2 + 5. Let k be v(n). Factor -3*c**5 + 3*c**k + c**3 - c**5.
-c**3*(c - 1)*(c + 1)
Let a(m) = -m - 2. Let z be a(-4). Let d = z - 0. Factor 1/4*p**4 + 0*p + 0 + 0*p**d - 1/4*p**3.
p**3*(p - 1)/4
Let n(m) be the second derivative of m**7/21 + 2*m**6/15 - m**4/3 - m**3/3 - 5*m. Factor n(u).
2*u*(u - 1)*(u + 1)**3
Let r(p) be the second derivative of 0 + 3*p + 1/3*p**2 + 5/18*p**3 + 1/60*p**5 + 1/9*p**4. Factor r(s).
(s + 1)**2*(s + 2)/3
Let w = -8/59 - -410/413. Suppose 3/7 + w*k + 3/7*k**2 = 0. What is k?
-1
Let w = 22/15 - 4/5. Factor -1/3*j**3 + 0 - w*j**2 - 1/3*j.
-j*(j + 1)**2/3
Suppose 4/5 + 32/5*a**2 - 28/5*a**3 + 12/5*a**4 - 2/5*a**5 - 18/5*a = 0. What is a?
1, 2
Suppose -2*d - f = 2*f, d = -4*f. Let t be ((0 - -2) + -2)*(5 - 6). Let -4/5*c**4 - 2/5*c**3 + d*c**2 + t - 2/5*c**5 + 0*c = 0. What is c?
-1, 0
Let b(j) = 7*j**2 - 3*j - 2. Let r(m) = -155*m**2 + 65*m + 45. Let y(l) = -45*b(l) - 2*r(l). Factor y(c).
-5*c*(c - 1)
Let u(n) be the third derivative of -n**8/1512 + n**6/540 + n**2. Factor u(a).
-2*a**3*(a - 1)*(a + 1)/9
Let k(g) = -20*g**4 + 35*g**3 + 10*g**2 - 55*g - 25. Let q(v) = -21*v**4 + 34*v**3 + 9*v**2 - 54*v - 26. Let o(f) = -6*k(f) + 5*q(f). Factor o(i).
5*(i - 2)**2*(i + 1)*(3*i + 1)
Let 2/7*o**4 + 2/7*o**3 - 6/7*o**2 - 2/7*o + 4/7 = 0. What is o?
-2, -1, 1
Let v be (36/30)/(2/5). Suppose -v*j = -7*j 