of -5*r**6/6 - 3*r**5 + 20*r**3/3 + 6. Find q, given that x(q) = 0.
-2, 0, 1
Suppose -4*t - 3*h - 72 = 0, 2*h = 5*t - 4*t + 29. Let r = -61/3 - t. Find s such that 0*s**2 + 0 + r*s**3 - 2/3*s = 0.
-1, 0, 1
Let v(x) be the third derivative of -x**7/420 + x**6/240 + x**5/24 + x**4/16 + 15*x**2. Factor v(o).
-o*(o - 3)*(o + 1)**2/2
Suppose 4*w + 5 - 1 = 0, -3*y + 29 = w. Suppose -y = x - 13. Factor 1/2*p**2 - 1/4*p**4 - 1/4*p - 1/4 + 1/2*p**x - 1/4*p**5.
-(p - 1)**2*(p + 1)**3/4
Let q(t) be the first derivative of 4/15*t**5 - 1/6*t**4 + 0*t**3 + 2 + 0*t**2 + 0*t - 1/9*t**6. Factor q(f).
-2*f**3*(f - 1)**2/3
Factor -1/9*h**4 + 2/9*h**3 + 1/3*h**2 + 0*h + 0.
-h**2*(h - 3)*(h + 1)/9
Let z(j) = -j**3 - j + 1. Let b(u) = -6*u**2 - 2*u + 10. Let c(o) = b(o) - 2*z(o). Factor c(v).
2*(v - 2)**2*(v + 1)
Suppose -4*d - 14*d = -36. What is w in 0*w + 0 - 2/3*w**d = 0?
0
Let q = 12 + -4. Let f be 10/(-25)*(-10)/q. Factor -1/4 - 1/4*c**2 - f*c.
-(c + 1)**2/4
Factor 0*t**5 - 3*t**3 - 2*t**4 + 4*t**5 - t**5 + 3*t**2 - t**4.
3*t**2*(t - 1)**2*(t + 1)
Let m(v) be the second derivative of -1/24*v**4 - 2*v + 0*v**3 + 0*v**2 - 1/40*v**5 + 0. Solve m(a) = 0 for a.
-1, 0
Let m(l) be the first derivative of 5/14*l**4 - 5 + 9/7*l**2 + 4/7*l + 8/7*l**3. Determine f so that m(f) = 0.
-1, -2/5
Suppose 0 = f + 2*f, -h - 4*f - 8067 = 0. Let y = h - -56565/7. Solve -y*p**4 + 2/7 + 16*p**3 - 12/7*p - 6/7*p**2 = 0 for p.
-1/3, 1/4, 1
Suppose 3 = 2*k + 17. Let j be k*3/(-6) - 3. Let 1/4*n**3 - 1/4*n + j - 1/2*n**2 = 0. Calculate n.
-1, 1, 2
Factor 25 - 10*i + 0*i**2 + i**2 + 4*i - 4*i.
(i - 5)**2
Let r(q) be the first derivative of q**6/12 + 2*q**5/5 + 5*q**4/8 + q**3/3 + 12. Find g such that r(g) = 0.
-2, -1, 0
Let p = -4 - -7. Let b = 6 - p. What is z in -b*z**2 + z - 2*z**3 + z**4 + 2*z**2 + z**3 = 0?
-1, 0, 1
Let 2 - x + 1 - 8 + x**2 + 5*x = 0. What is x?
-5, 1
Factor 8/7*o**2 - 3/7*o**3 + 0 - 9/7*o**4 + 4/7*o.
-o*(o - 1)*(3*o + 2)**2/7
Factor 4/3*d - 2/3*d**2 + 2.
-2*(d - 3)*(d + 1)/3
Let r(b) be the first derivative of 5/3*b**3 + 1/3*b**6 + b**2 + b**5 - 2*b + 1/21*b**7 + 1 + 5/3*b**4. Let s(h) be the first derivative of r(h). Factor s(u).
2*(u + 1)**5
Let m(u) be the first derivative of 4*u**4 + 20*u**3/3 - 14*u**2 - 8*u - 53. Solve m(i) = 0 for i.
-2, -1/4, 1
Let u(q) = -q**3 + 3*q**2 + 2. Let o(n) = -3*n**3 + 9*n**2 + n + 7. Let r(h) = -4*o(h) + 14*u(h). Factor r(x).
-2*x*(x - 2)*(x - 1)
Let d(v) be the third derivative of -v**6/180 - v**5/30 + 4*v**3/9 - 26*v**2. Factor d(u).
-2*(u - 1)*(u + 2)**2/3
Suppose -5*k + k - 35 = -3*f, -3*k = 2*f + 5. Factor w + 4*w**4 - 2*w**5 + w + 0*w**f - 4*w**2.
-2*w*(w - 1)**3*(w + 1)
Let u = 42/53 - 429/742. Let r(j) be the first derivative of -3 - 2/35*j**5 + u*j**4 + 0*j - 2/7*j**3 + 1/7*j**2. Let r(t) = 0. Calculate t.
0, 1
What is f in 1/2 - 1/4*f - 1/4*f**2 = 0?
-2, 1
Let w be (15/12 - 3)/(-1). Let l = -108 - -112. Factor -29/4*i**2 + 5/4*i**l - i + w*i**5 - 23/4*i**3 + 1.
(i - 2)*(i + 1)**3*(7*i - 2)/4
Let l(v) be the third derivative of -4*v**2 + 0*v - 5/84*v**7 + 2/15*v**5 + 0 + 0*v**3 + 1/48*v**6 + 1/12*v**4. Solve l(g) = 0.
-2/5, 0, 1
Let p = 0 + -21. Let u = p - -109/5. What is c in -12/5*c - 13/5*c**2 - 1/5*c**4 - u - 6/5*c**3 = 0?
-2, -1
Let y(l) = -57*l**4 + 3*l**3 - 12. Let b(t) = 23*t**4 - t**3 + 5. Let r(n) = 12*b(n) + 5*y(n). Suppose r(d) = 0. What is d?
0, 1/3
Let u = -35 + 35. Let u + 0*o - 2/11*o**2 = 0. What is o?
0
Let b(q) be the third derivative of -q**5/60 - q**4/4 + q**3/3 + 2*q**2. Let f be b(-6). Solve s + 2*s**2 + 5*s + f - 2*s = 0.
-1
Let s(b) be the second derivative of b**7/189 - b**6/45 - b**5/90 + 7*b**4/54 - 4*b**2/9 - 7*b. Determine n, given that s(n) = 0.
-1, 1, 2
Factor -1/3*d + 0 + 5/3*d**3 + d**4 + 1/3*d**2.
d*(d + 1)**2*(3*d - 1)/3
Let 0 + 1/3*t**3 - 1/3*t + 0*t**2 = 0. Calculate t.
-1, 0, 1
Let w(z) be the second derivative of -z**4/4 + 5*z**3/2 - 2*z. Factor w(c).
-3*c*(c - 5)
Suppose -2*n = 2*n. Let w(p) be the first derivative of 0*p**3 - 1/10*p**4 + 0*p - 2 + n*p**2. Factor w(l).
-2*l**3/5
Let u(v) be the second derivative of -v**6/300 + v**4/60 + 5*v**2/2 - 7*v. Let f(m) be the first derivative of u(m). Solve f(s) = 0.
-1, 0, 1
Let g(f) = f**3 + 7*f**2 + 5*f - 6. Suppose 10 - 4 = -a. Let d be g(a). Factor 0*z**3 - 2/3*z**4 + 0*z + d + 0*z**2.
-2*z**4/3
Let w(q) be the second derivative of -3*q**5/20 + q**4/4 - q**3/6 + q**2/2 + 9*q. Let c(d) = d**3 - d**2 - d + 1. Let k(r) = c(r) - w(r). What is h in k(h) = 0?
0, 1
Factor -2 + 1/2*s**3 + 4*s - 5/2*s**2.
(s - 2)**2*(s - 1)/2
Let l be (-2)/(-7) + (-114)/(-42). Factor -w**3 + w**3 - w**3 - 2*w**l.
-3*w**3
Suppose -2*x + 10 = 2. Solve -24*k**2 + 6*k - 3*k**x + 0*k - 15*k**3 - 18*k = 0.
-2, -1, 0
Let n(h) be the first derivative of 5*h**4/12 + 25*h**3/9 + 39. Factor n(q).
5*q**2*(q + 5)/3
Let x = -4 + 8. Determine h so that -1/4*h + 1/4*h**3 + 1/4*h**2 - 1/4*h**x + 0 = 0.
-1, 0, 1
Let x be ((-96)/(-10))/(-4) + (-4)/(-1). Factor x + 4/5*j**2 - 12/5*j.
4*(j - 2)*(j - 1)/5
Suppose -120 = -8*n + 5*n. Let t = 282/7 - n. What is x in 2/7*x**4 - 2/7*x**3 + 0 - t*x**2 + 2/7*x = 0?
-1, 0, 1
Let p = -58/9 - -62/9. Determine c so that -2/9*c**3 + 2/3*c + p + 0*c**2 = 0.
-1, 2
Let p(m) = -3*m**5 + 31*m**4 - 65*m**3 + 77*m**2 - 60*m + 20. Let t(b) = b**4 - b**2 - b + 1. Let c(d) = 3*p(d) - 24*t(d). What is n in c(n) = 0?
2/3, 1, 2, 3
Let y(u) = 2*u**5 - 11*u**4 - 2*u**3 + 11*u**2 - 13*u. Let t(n) = -n**5 + 5*n**4 + n**3 - 5*n**2 + 6*n. Let o(p) = -13*t(p) - 6*y(p). Factor o(i).
i**2*(i - 1)*(i + 1)**2
Let q(s) = 21*s**3 - 13*s**2 - 37*s + 3. Let y(l) = 10*l**3 - 6*l**2 - 18*l + 2. Let t(k) = 6*q(k) - 13*y(k). Determine m so that t(m) = 0.
-2, 1
Suppose -5*i - 2*a = -2, 7*a - 2*a + 28 = 4*i. Factor 8 + 24*s + s**2 + 8 + 3*s**2 + 8*s**2 + i*s**3.
2*(s + 2)**3
Factor -4/3*b + 4/3*b**2 + 0.
4*b*(b - 1)/3
Let h(f) be the second derivative of -1/4*f**3 + 0*f**2 + 2*f + 1/8*f**4 + 0. Factor h(s).
3*s*(s - 1)/2
Factor 6/7*v**4 - 4/7*v**3 - 2/7*v**5 - 2/7 - 4/7*v**2 + 6/7*v.
-2*(v - 1)**4*(v + 1)/7
Let g = 374 - 1864/5. Factor -1/5*k - 4/5*k**2 - g*k**3 + 0 - 4/5*k**4 - 1/5*k**5.
-k*(k + 1)**4/5
Let w(q) = q - 3. Let p be w(7). Suppose -2*u + u = -p. Solve 0 - 2/7*x - 6/7*x**3 - 6/7*x**2 - 2/7*x**u = 0.
-1, 0
Let q(z) be the second derivative of -z**4/96 + 12*z. Factor q(h).
-h**2/8
Let k = 362/9 - 40. Let x(n) be the first derivative of 2/3*n - 2 - 2/3*n**2 + k*n**3. Find u, given that x(u) = 0.
1
Let l(g) be the third derivative of -g**6/240 + 3*g**5/40 - g**4/2 + 4*g**3/3 + 15*g**2. Factor l(s).
-(s - 4)**2*(s - 1)/2
Suppose r - 6 = -3. Let z(y) be the first derivative of -1/6*y**3 + y + 1/4*y**2 - r. Factor z(s).
-(s - 2)*(s + 1)/2
Suppose 3 = -3*g + 3. Find c, given that -1/4*c**2 + g + 0*c = 0.
0
Let c(a) be the third derivative of a**8/26880 - a**7/3360 + a**6/960 - a**5/15 - a**2. Let w(b) be the third derivative of c(b). Factor w(g).
3*(g - 1)**2/4
Let l(q) be the second derivative of 1/30*q**6 + 0*q**2 + 0*q**3 + 0*q**5 - 2*q + 0 + 1/42*q**7 + 0*q**4. What is y in l(y) = 0?
-1, 0
Let g(x) = x**2 + 10*x + 9. Let f be g(-9). Let m(u) be the third derivative of f*u**3 - u**2 - 1/210*u**5 + 0 - 1/84*u**4 + 0*u. Determine v so that m(v) = 0.
-1, 0
Suppose 1 = 2*l - 5. Find w, given that 3*w**3 - 2*w**3 + w + l*w**3 - 3*w**3 + 2*w**2 = 0.
-1, 0
Let g(m) be the first derivative of -m**8/560 - m**7/56 - 3*m**6/40 - 7*m**5/40 - m**4/4 - 4*m**3/3 + 5. Let k(n) be the third derivative of g(n). Factor k(a).
-3*(a + 1)**3*(a + 2)
Let o(p) be the first derivative of -1/24*p**4 + 0*p + 0*p**3 - 1/60*p**5 + 2 + 1/2*p**2. Let u(v) be the second derivative of o(v). Let u(m) = 0. What is m?
-1, 0
Factor -s**2 - s**2 + 60*s + 55 + 7*s**2.
5*(s + 1)*(s + 11)
Let w(u) be the second derivative of 5*u**4/24 - 7*u**3/12 + u**2/2 + 21*u. Determine g, given that w(g) = 0.
2/5, 1
Let r = 7 + 0. Suppose -r = -5*h + 3. Factor 0*y**3 + 4*y**5 - 2*y**h - 6*y**4 - 6*y**3 - 6*y**5.
-2*y**2*(y + 1)**3
Let w = 16 - 9. Let u = 13 - w. Factor k**2 + 0*k + u*k - 6*k.
k**2
Let v = -23 - -24. Let w be (3 - 4)/(-1) + v. Factor -2/5*h**w - 2/5*h + 2/5 + 2/5*h**3.
2*(h - 1)**2*(h + 1)/5
Let g(y) be the second derivative of -y**5/10 + y**4/2 + 4*y**3/3 + 30*y. Let g(z) = 0. What is z?
-1, 0, 4
