0.
-4, -1, 2/7
Factor -3 + 1/2*o**2 - 1/2*o.
(o - 3)*(o + 2)/2
Let k(u) be the third derivative of -u**5/510 - u**4/102 - 5*u**2. Factor k(w).
-2*w*(w + 2)/17
Determine p, given that -1/5*p**2 + 0 - 1/5*p = 0.
-1, 0
Suppose 2 = -g - 1. Let k = 3 + g. Factor 4*u**2 - 4*u - 2*u**2 + k*u**2.
2*u*(u - 2)
Let a(x) = -2*x**5 - 8*x**4 - 4*x**3 - 2*x - 4. Let f(c) = c**5 + 7*c**4 + 3*c**3 - c**2 + 2*c + 3. Let w(k) = 3*a(k) + 4*f(k). Find m, given that w(m) = 0.
-1, 0, 1
Let a = 15 + -8. Let u(c) be the second derivative of 1/8*c**2 - 1/8*c**3 - 1/40*c**6 + 0 + 1/168*c**a + 1/24*c**4 + 1/40*c**5 - 2*c. Factor u(d).
(d - 1)**4*(d + 1)/4
Let y(r) = r**2 + 5*r + 12. Let l be y(-5). Suppose -2*q + l = q. Factor -2/3*m + 0 - 2/3*m**q - 2*m**2 - 2*m**3.
-2*m*(m + 1)**3/3
Let m(f) be the third derivative of f**6/360 + f**5/45 + f**4/24 - 20*f**2. Let m(j) = 0. Calculate j.
-3, -1, 0
Let l = 12 - 10. Factor 9*o - 1 - 9*o - 3*o - l*o**2.
-(o + 1)*(2*o + 1)
Let i(h) be the third derivative of 1/105*h**7 + 0*h + 0 + 0*h**4 + 0*h**3 + 1/30*h**5 - 1/30*h**6 - h**2. Find t such that i(t) = 0.
0, 1
Find f, given that 0 + 8/3*f**2 - 8/9*f**4 - 2/9*f**5 + 4/9*f**3 - 2*f = 0.
-3, 0, 1
Let w be (-2)/18*(-20 + 20). Factor 0 - 8/3*h**3 + 5/3*h**4 - 4/3*h**2 + w*h.
h**2*(h - 2)*(5*h + 2)/3
What is x in 1/5*x**4 + 32/5*x + 16/5 + 8/5*x**3 + 24/5*x**2 = 0?
-2
Let f(v) be the second derivative of v**4/21 + 10*v**3/7 + 2*v - 3. Factor f(p).
4*p*(p + 15)/7
Let p(g) be the first derivative of -4*g**3/15 + 6*g**2/5 + 16*g/5 - 26. Factor p(f).
-4*(f - 4)*(f + 1)/5
Suppose -5*y = p + 23, -5 = -2*p + 2*y + 9. Let 8*q**4 + 15*q**3 + 0*q**4 - p*q**4 - 3 + 9*q**2 - 3*q = 0. Calculate q.
-1, 1/2
Let z be 4 + (2 + 2 - 4). Suppose 4*l - 4 = -2*q + l, z*q - 5*l - 8 = 0. Let 3/5*a**4 + 3/5*a - 3/5*a**3 + 6/5 - 9/5*a**q = 0. Calculate a.
-1, 1, 2
Factor q - 3*q**3 - 4*q**2 - 4*q + 4*q**2 - 6*q**2.
-3*q*(q + 1)**2
Let -5/6*l**3 + 5/6*l**2 + 0 + 0*l = 0. Calculate l.
0, 1
Let h(l) = -l. Let m(k) = -2*k**4 + 14*k**2 - 9*k. Let w(x) = -3*h(x) - m(x). Solve w(a) = 0 for a.
-3, 0, 1, 2
Determine c, given that 2/3*c**2 + 50/3 - 20/3*c = 0.
5
Let g(d) = -4*d**2 - 10. Suppose 4*j + 5 = o + 3, 0 = o + 2*j + 4. Let m(h) = -h**2 - 3. Let x(f) = o*g(f) + 7*m(f). Factor x(t).
(t - 1)*(t + 1)
Let 2/3*k + 1/3*k**2 + 0 = 0. What is k?
-2, 0
Let m = -6 + 8. Factor 6*n**2 + 24*n - 9*n**2 - 9*n**m - 16 + 0*n**2 + 2*n**3.
2*(n - 2)**3
Let p(t) = t**2 + 6*t + 2. Let j be p(-6). Suppose j*x = -x. Find l such that 4*l - 2 - 2*l**2 + x*l + 0 = 0.
1
Let o(u) be the first derivative of -2*u**3/3 + 7*u**2 - 7*u - 15. Let j be o(6). Factor 0 + 0*d + 1/2*d**3 + 0*d**4 + 0*d**2 - 1/2*d**j.
-d**3*(d - 1)*(d + 1)/2
Let z(a) be the third derivative of a**5/48 + 5*a**4/96 - 5*a**3/12 + 9*a**2. Suppose z(q) = 0. Calculate q.
-2, 1
Solve -93*u + 15*u**3 + 98*u + 3 - 15*u**2 - 3 - 5*u**4 = 0.
0, 1
Factor -4/11*a**2 - 2/11*a + 2/11 - 2/11*a**5 + 2/11*a**4 + 4/11*a**3.
-2*(a - 1)**3*(a + 1)**2/11
Let w(o) be the third derivative of o**6/72 - 5*o**5/36 + 5*o**4/9 - 10*o**3/9 - 49*o**2. Let w(z) = 0. Calculate z.
1, 2
Let z(m) = -m + 8. Let c be z(5). Suppose -s - c*s = -44. Suppose -11*b + s*b + 1 - b**2 = 0. What is b?
-1, 1
Let l(v) be the first derivative of -v**4/22 + 8*v**3/11 - 48*v**2/11 + 128*v/11 + 3. Determine s, given that l(s) = 0.
4
Let m = 237 - 235. Factor -6/5*q + 1/5*q**4 + 6/5*q**3 - 9/5 + 8/5*q**m.
(q - 1)*(q + 1)*(q + 3)**2/5
Let q(y) = -1 - 2*y**2 - 7*y + 7*y. Let i(x) = -10*x**2 - 4. Let z(v) = -6*i(v) + 28*q(v). Suppose z(g) = 0. Calculate g.
-1, 1
Let j(x) be the second derivative of 3*x**6/35 + x**5/10 - x**4/21 + x. Factor j(l).
2*l**2*(l + 1)*(9*l - 2)/7
Suppose 4*r + r - 25 = 0. Suppose -3*c = -r*q - 6*c + 14, q = -c + 4. What is t in -3*t**2 + 0*t**2 + 4*t**2 - q = 0?
-1, 1
Factor 2/17*h**2 - 2/17*h + 0.
2*h*(h - 1)/17
Let s(q) = -q**3 + q**2 - 7*q - 5. Let x(h) = 3*h**3 - 3*h**2 + 15*h + 11. Let f(j) = -5*s(j) - 2*x(j). Solve f(z) = 0.
-1, 3
Let s(z) be the second derivative of z**5/60 - z**4/9 + 2*z**3/9 + 8*z. Factor s(b).
b*(b - 2)**2/3
Let v(p) be the third derivative of 2*p**7/35 - p**6/4 + 33*p**5/80 - 5*p**4/16 + p**3/8 + 18*p**2. Factor v(k).
3*(k - 1)**2*(4*k - 1)**2/4
Factor -4/3*s**4 + 5/6*s + 0 + 3*s**3 + 1/6*s**5 - 8/3*s**2.
s*(s - 5)*(s - 1)**3/6
Let z(w) = -w**3 + w**2 + w. Let a(v) be the third derivative of -v**6/60 - v**5/60 + v**4/12 - 8*v**2. Let r(p) = -a(p) - z(p). Let r(c) = 0. Calculate c.
-1, 0, 1
Let f(c) be the third derivative of -c**9/5040 - c**8/2240 + c**7/840 + c**6/240 + 5*c**4/24 + c**2. Let u(m) be the second derivative of f(m). Factor u(y).
-3*y*(y - 1)*(y + 1)**2
Factor -3/7*r + 3/7*r**2 - 36/7.
3*(r - 4)*(r + 3)/7
Let p(s) be the first derivative of s**8/4200 + s**7/1050 + s**6/900 - s**3/3 - 1. Let r(h) be the third derivative of p(h). What is y in r(y) = 0?
-1, 0
Suppose -10*a = -4*a - 24. Let t(f) be the third derivative of -1/60*f**5 - 2/3*f**3 + 0 + f**2 + 1/6*f**a + 0*f. Factor t(i).
-(i - 2)**2
Let z = -6 - -8. Let b = 0 + z. Solve -2 + 0 + 4*x + 2*x**2 - 2*x**3 - b*x = 0.
-1, 1
Let m(k) be the second derivative of 0*k**2 - 4/3*k**3 - 5/2*k**5 - 10/3*k**4 + 2*k + 0. Factor m(d).
-2*d*(5*d + 2)**2
Let v = -37 - -54. Let a = v - 15. Factor 2/9*l**a + 0 + 2/9*l.
2*l*(l + 1)/9
Let r(p) = p**3 + p**2 + 1. Let k(g) = 9*g**3 + 6*g**2 - 9*g. Let h(t) = k(t) - 6*r(t). Factor h(q).
3*(q - 2)*(q + 1)**2
Let k be 110/25 - (0 - -4). Let 2/5*j + 2/5 - k*j**2 - 2/5*j**3 = 0. What is j?
-1, 1
Let v(i) be the third derivative of 3*i**8/560 - i**7/35 + i**6/150 + 7*i**5/150 + i**4/40 - 10*i**2. Determine a, given that v(a) = 0.
-1/3, 0, 1, 3
Let f(l) be the first derivative of 9/4*l**4 + 0*l**2 + 0*l**3 - 1 - 3/5*l**5 + 0*l. Let f(h) = 0. Calculate h.
0, 3
Let g(k) be the second derivative of 3*k**5/40 - 11*k**4/24 + k**3 - k**2 - 2*k. Find a such that g(a) = 0.
2/3, 1, 2
Let z = -4127/4 - -1032. Factor -z*u**2 + 0 - 1/4*u.
-u*(u + 1)/4
Let t(f) = -2*f**2 + 3*f - 3. Let z(h) be the third derivative of -h**5/30 + h**4/6 - 2*h**3/3 - 4*h**2. Let c(s) = -4*t(s) + 3*z(s). Factor c(v).
2*v**2
Let b be ((-3)/1)/(6/(-4)). Suppose -2*k - 16 = -b*q - q, -23 = q + 5*k. Let -2*g**3 + g**q - 2*g**2 + g**4 + 2*g**3 = 0. What is g?
-1, 0, 1
Let p(q) = 10*q**3 - 3*q**2 + 7. Let i = -16 - -23. Let s(g) = 7*g**3 - 2*g**2 + 5. Let w(x) = i*s(x) - 5*p(x). Determine b, given that w(b) = 0.
0, 1
Suppose 0*p - 5*p = -w, -4*w = 4*p. Let q(m) be the first derivative of w*m**3 + 2*m + 1/4*m**4 + 1 - 3/2*m**2. Factor q(f).
(f - 1)**2*(f + 2)
Determine n so that 1/5 + 1/5*n**2 + 2/5*n = 0.
-1
Find r, given that -8 + 12*r**2 - 6 + 4*r**3 + 14 = 0.
-3, 0
Let n(a) be the third derivative of -a**6/270 + a**5/90 + a**4/54 - a**3/9 + 26*a**2. Factor n(c).
-2*(c - 1)*(c + 1)*(2*c - 3)/9
Let d = -332 - -337. Let f be (3/2)/(2/4). Find j, given that -2/3*j**2 - 1/3*j**d + 2/3*j**f + 1/3 - 1/3*j + 1/3*j**4 = 0.
-1, 1
Let s = -685 - -6843/10. Let y = s + 9/10. Solve 1/5*j + 1/5 - 1/5*j**2 - y*j**3 = 0 for j.
-1, 1
Let u(l) be the third derivative of -l**7/105 - 11*l**6/360 - l**5/45 + l**4/72 + 23*l**2. What is n in u(n) = 0?
-1, 0, 1/6
Suppose d - y = 3, 5*y - y = 2*d - 6. Factor -6/11*k - 2/11 - 2/11*k**d - 6/11*k**2.
-2*(k + 1)**3/11
Suppose -3*v = -2*l + 10, 4*v + 14 = 5*l - 4. What is k in -4/9 - 14/9*k - 10/9*k**3 - 2/9*k**4 - l*k**2 = 0?
-2, -1
Let d(v) be the first derivative of v**8/11760 + v**7/2940 - v**5/420 - v**4/168 - 5*v**3/3 + 6. Let j(o) be the third derivative of d(o). Factor j(a).
(a - 1)*(a + 1)**3/7
Let o be (28/98)/((-1)/(-7)). Solve -1/4*j**4 - 1/4 + 0*j + 0*j**3 + 1/2*j**o = 0 for j.
-1, 1
Find m, given that -20*m**2 + 32/3*m + 4 + 16/3*m**3 = 0.
-1/4, 1, 3
Let r(p) be the first derivative of 5 + 1/4*p**2 + 1/4*p + 1/12*p**3. Factor r(v).
(v + 1)**2/4
Let b(k) = 2*k**3 - k**2 + k + 1. Let r(i) = i**3. Suppose -2*d = 2*d - 20. Let x = d + -8. Let m(u) = x*r(u) + b(u). Let m(q) = 0. What is q?
-1, 1
Let a(f) = -f - 6. Let x be a(-10). Determine u so that 18 - 15 - 5*u**2 + 6*u**3 - x*u**2 = 0.
-1/2, 1
Let v be (-1 + -2)/(6/8). Let j be -1*v/(4 - 2). Find y, given that -10*y**3 - 11*y - 2*y**4 - 3 - 3*y - 18*y**j - 1 = 0.
-2, -1
Find a such that -2/5*a**3 + 1/5*a**4 + 0 + 3/5*a**5 + 0*a