Let v be (p - (-6)/(-4))/(-6). Factor -3/4*d**2 - 1/4*d + v*d**3 + 1/4*d**4 + 1/2.
(d - 1)**2*(d + 1)*(d + 2)/4
Suppose -3*o + o + 4 = 0. Factor -3*u**2 - 2*u**2 - 2*u + 4*u**o.
-u*(u + 2)
Let n be -1 + (-8)/(-1) - 5*1. Determine d so that 1/3*d**n + 7/6*d**3 + 0 + 0*d = 0.
-2/7, 0
Suppose -1/5*j**2 + 1/5*j**4 + 0 - 1/5*j**5 + 0*j + 1/5*j**3 = 0. What is j?
-1, 0, 1
Let l(n) = 3*n**2 - 2*n + 11. Let k(f) = 7*f**2 - 3*f + 23. Let i(y) = 4*k(y) - 9*l(y). Find t, given that i(t) = 0.
-7, 1
Suppose t + 2*t + r = 6, 0 = -2*r. Let d be t*((-35)/(-20))/7. Find i such that 0 - d*i + 1/2*i**2 = 0.
0, 1
Suppose 0 = -2*q - 0*q + 6. Let 6*n**2 - n - 6*n**q - 2*n**2 + 3*n = 0. What is n?
-1/3, 0, 1
Let x(y) be the first derivative of 4*y**5/5 - 3*y**4 + 4*y**3/3 + 6*y**2 - 8*y - 4. Find g such that x(g) = 0.
-1, 1, 2
Let 38*a**4 - 2*a**3 - 19*a**4 - a**2 - 20*a**4 = 0. What is a?
-1, 0
Let h(o) be the third derivative of -o**7/315 + o**6/18 - 4*o**5/15 - 5*o**4/18 + 25*o**3/9 - 22*o**2. Find f such that h(f) = 0.
-1, 1, 5
Let c(y) = 1. Suppose -2 = -j - l, 0*j - 3*l + 4 = j. Let v be (-1 - 0)*2 + 1. Let r(f) = f**2 + f + 1. Let d(o) = j*c(o) + v*r(o). Factor d(n).
-n*(n + 1)
Let k(q) be the first derivative of -q**6/30 + q**5/25 + 3*q**4/20 - q**3/15 - q**2/5 - 8. Solve k(x) = 0 for x.
-1, 0, 1, 2
Let z = -254303/480 - -2649/5. Let k(m) be the third derivative of -1/96*m**4 + 0 - 1/24*m**3 + 0*m + 1/240*m**5 + z*m**6 + 2*m**2. Solve k(d) = 0 for d.
-1, 1
Suppose -6*c**4 + 3 - 33/2*c + 3/2*c**3 + 18*c**2 = 0. What is c?
-2, 1/4, 1
Let y(g) = 2*g**3 - 15*g**2 - 8*g + 2. Let l be y(8). Let m(t) be the first derivative of -1/3*t + l - 1/9*t**3 + 5/12*t**2. Solve m(b) = 0 for b.
1/2, 2
Let u(f) be the first derivative of -2/5*f**4 + 0*f + 0*f**2 + 2/15*f**3 - 2. Find h, given that u(h) = 0.
0, 1/4
Let h(n) = -n**2 - n. Let j(z) = -z**4 - 2*z**3 + 5*z. Let c(b) = -b**2. Let y(s) = -4*c(s) + j(s). Let q(v) = 10*h(v) + 2*y(v). Factor q(k).
-2*k**2*(k + 1)**2
Let o(y) be the third derivative of -y**6/120 + y**5/10 + 7*y**2 - 4. Factor o(j).
-j**2*(j - 6)
Let p = 13/35 + 8/35. Factor 0 + 6/5*b + p*b**2.
3*b*(b + 2)/5
Let a(w) be the second derivative of -w**6/45 + 2*w**5/15 - w**4/9 - 4*w**3/9 + w**2 - 10*w. Find q, given that a(q) = 0.
-1, 1, 3
Factor 2*d**3 + 5*d**2 + 25 + d**3 + 29 + 63*d + 19*d**2.
3*(d + 2)*(d + 3)**2
Let m(p) be the second derivative of -3*p**2 - 5/2*p**3 + 0 - 3/4*p**4 - 2*p. Find o, given that m(o) = 0.
-1, -2/3
Let m(d) = -3*d**4 - 12*d**3 + 15*d**2 + 12*d - 6. Let a(i) = 8*i**4 + 36*i**3 - 44*i**2 - 36*i + 19. Let u(h) = -6*a(h) - 17*m(h). Factor u(s).
3*(s - 2)**2*(s - 1)*(s + 1)
Let y(o) be the second derivative of -o**8/336 + o**6/120 - o**2 - 2*o. Let l(s) be the first derivative of y(s). Factor l(j).
-j**3*(j - 1)*(j + 1)
Let r(j) = -3*j**2 + 13*j. Let n(o) = -3*o**2 + 12*o. Let h(m) = 7*n(m) - 6*r(m). Determine f so that h(f) = 0.
0, 2
Let v(t) be the second derivative of -27*t**5/20 + 11*t**4/4 - t**3 - 4*t. Suppose v(a) = 0. What is a?
0, 2/9, 1
Let d = -147 - -147. Let l(t) be the third derivative of 1/180*t**5 + 1/36*t**4 + d*t - t**2 + 0 + 0*t**3. Solve l(p) = 0 for p.
-2, 0
Let m(k) be the first derivative of -2*k**6/9 - 4*k**5/15 + 3*k**4 - 44*k**3/9 + 8*k**2/3 + 49. Solve m(w) = 0 for w.
-4, 0, 1
Let r(t) be the third derivative of -t**5/60 - 11*t**4/24 - 13*t**3/6 - 2*t**2. Let o be r(-9). Factor 1/3*z**4 + 1/3*z**3 - 1/3*z**o + 0 - 1/3*z**2 + 0*z.
-z**2*(z - 1)**2*(z + 1)/3
Let n(l) be the first derivative of l**7/420 + l**6/30 + l**5/5 + 2*l**4/3 + 7*l**3/3 + 4. Let m(v) be the third derivative of n(v). Let m(i) = 0. Calculate i.
-2
Let a(z) = z**5 + z**4 - 15*z**3 - 8*z**2 + 7*z - 7. Let o(v) = -8*v**3 - 4*v**2 + 4*v - 4. Let g(q) = -4*a(q) + 7*o(q). What is u in g(u) = 0?
-1, 0, 1
Let x(t) = 6*t**2 - t - 1. Let b be x(-1). Determine h, given that 4 - 6*h + 3*h**3 - b*h + 2*h + h**2 + 2*h = 0.
-2, 2/3, 1
Let r = -28 + 16. Let p be r/(-4) + 7/(-3). Factor 0 + 4/3*j - p*j**4 + 0*j**3 + 2*j**2.
-2*j*(j - 2)*(j + 1)**2/3
Let u = 648 - 1943/3. Find q such that -u*q**3 + 2/3*q + 0 - 1/3*q**2 = 0.
-2, 0, 1
Find o such that 6/7*o**3 - 2/7*o**2 + 2/7*o**5 - 6/7*o**4 + 0*o + 0 = 0.
0, 1
Let x(s) be the first derivative of s**6/180 + s**5/90 - s**4/36 - s**3/9 + s**2 - 3. Let l(n) be the second derivative of x(n). Solve l(q) = 0 for q.
-1, 1
Suppose -3*g + 3 = 12. Let h(w) = w**2 + w - 4. Let m be h(g). Factor -m*o + 2*o**5 + 4*o**2 + o - 6*o**3 - 3*o**5 + 4*o**4.
-o*(o - 1)**4
Suppose 4*m - m = 5*m. Let y(o) be the second derivative of -1/9*o**4 + m*o**3 + 0*o**2 + 1/6*o**5 + 0 - 1/15*o**6 - o. Suppose y(j) = 0. What is j?
0, 2/3, 1
Let t(g) be the first derivative of -2*g**7/21 + 2*g**6/15 + 3*g**5/5 - g**4/3 - 4*g**3/3 + 8*g - 6. Let z(o) be the first derivative of t(o). Solve z(i) = 0.
-1, 0, 1, 2
Suppose 0 = 5*o - 6 - 9. Factor 0*g**2 - 1 + 3*g + 4*g**3 - 3*g**o - 3*g**2.
(g - 1)**3
Let g = -8 - -8. Let s(i) be the second derivative of i**2 + 1/2*i**3 + 1/12*i**4 + g + i. Factor s(n).
(n + 1)*(n + 2)
Let v(r) be the third derivative of -r**6/40 - 13*r**5/20 - 35*r**4/8 + 49*r**3/2 - 8*r**2. Solve v(p) = 0.
-7, 1
Let l(m) be the second derivative of -m**5/40 - m**4/12 + m**3/12 + m**2/2 - 4*m. Solve l(c) = 0.
-2, -1, 1
Let m(t) be the third derivative of t**5/60 + 7*t**4/12 + 49*t**3/6 - 31*t**2. Factor m(x).
(x + 7)**2
Let d be (2 + 2)*(-1)/(-2). Suppose d*v = -1 + 5. Solve -z**3 + 2*z**2 - 4*z + 0*z**v + 3*z = 0.
0, 1
Solve -4/9*z**2 + 14/9*z - 4/3*z**3 + 10/9*z**4 - 2/3 - 2/9*z**5 = 0.
-1, 1, 3
Suppose -4*j - 16 = -4*a, 4*j + 2 = -5*a + 13. Let t be (-1)/(6/(-4))*a. Suppose 0*w - 1/2*w**t - 3/2*w**3 + 0 = 0. What is w?
-1/3, 0
Let b(f) be the second derivative of 7*f**5/180 - f**4/6 - 2*f**3/9 + 3*f**2/2 + 3*f. Let y(z) be the first derivative of b(z). Factor y(p).
(p - 2)*(7*p + 2)/3
Let l(c) be the second derivative of -1/35*c**6 - 1/70*c**5 + 0 - 1/147*c**7 + 2/21*c**3 + 0*c**2 + 1/14*c**4 - 3*c. Determine y so that l(y) = 0.
-2, -1, 0, 1
Let c = 8/7 - 26/35. Let -4/5*k**3 + c*k + 2/5*k**2 + 0 = 0. Calculate k.
-1/2, 0, 1
Let m(i) be the first derivative of i**6/6 - 3*i**5/5 + 3*i**4/4 - i**3/3 + 14. Factor m(u).
u**2*(u - 1)**3
Let y(k) be the second derivative of -k**8/1680 + k**7/840 + k**3/2 - 3*k. Let r(v) be the second derivative of y(v). Let r(x) = 0. What is x?
0, 1
Let u = -132 - -134. Let q(c) be the first derivative of 2/27*c**3 + 0*c - 1/9*c**4 + 0*c**u - 2. Factor q(b).
-2*b**2*(2*b - 1)/9
Let f be (-2 - 220/(-105))/((-6)/(-7)). Let i(l) be the first derivative of -1 - f*l**3 + 1/2*l**2 - 2/3*l. Let i(d) = 0. Calculate d.
1, 2
Let b(u) be the third derivative of u**7/70 - u**6/120 - 23*u**5/180 - 13*u**4/72 - u**3/9 + 14*u**2. Factor b(q).
(q - 2)*(q + 1)*(3*q + 1)**2/3
Let i(m) be the second derivative of -1/9*m**2 + 1/54*m**4 + 0 + 7*m + 0*m**3. What is h in i(h) = 0?
-1, 1
Let b be (2/(-12))/((-1)/2). Let c(t) be the first derivative of -t**2 - t - b*t**3 - 1. Factor c(a).
-(a + 1)**2
Let b(s) = s**2 + s + 1. Let o(h) = -15. Let v(l) = -5*b(l) - o(l). Factor v(r).
-5*(r - 1)*(r + 2)
Let r be 80/(-30) + 5 + -2. Factor -2/3 + q - r*q**2.
-(q - 2)*(q - 1)/3
Let u(x) be the first derivative of x**5/10 + x**4/6 - x - 3. Let m(b) be the first derivative of u(b). Factor m(q).
2*q**2*(q + 1)
Let v(t) = -3*t**2 + 11*t - 3. Let m(h) = 4*h**2 - 16*h + 4. Let c(w) = 5*m(w) + 8*v(w). Solve c(p) = 0 for p.
1
Let l(r) = -r + 13. Let d be l(13). Suppose d = 8*j - 3*j - 10. Factor -4/5*b**j + 2/5*b**3 + 0 + 2/5*b.
2*b*(b - 1)**2/5
Let r be (12/(-27))/((-28)/126). Let v be (-2 + 0)/(2*-1). Suppose 1/4*p**r + v + p = 0. Calculate p.
-2
Suppose 7*m - 25 = 2*m. Let f(w) = w + 19. Let x be f(-15). Factor 1/2*d**m + 0*d - 1/2*d**3 + 1/2*d**x - 1/2*d**2 + 0.
d**2*(d - 1)*(d + 1)**2/2
Factor 25*f**4 - 160*f**4 + 64*f**3 - 5*f - 45*f**2 - 199*f**3.
-5*f*(3*f + 1)**3
Solve -8*b + 0 + 8/3*b**2 - 2/9*b**3 = 0.
0, 6
Suppose 2/7 + 0*l - 2/7*l**2 = 0. What is l?
-1, 1
Let f(i) be the third derivative of -1/15*i**5 + 0 - 4*i**2 + 0*i**4 + 1/60*i**6 + 0*i + 0*i**3. Suppose f(x) = 0. What is x?
0, 2
Let q(x) be the third derivative of 4*x**5/75 - 7*x**4/30 + x**3/5 - 5*x**2. Factor q(r).
2*(2*r - 3)*(4*r - 1)/5
Factor 1/6*r**4 - 5/6*r**