 1)**3*(g + 1)/2
Factor -6/5*g**2 - 3/5 - 9/5*g.
-3*(g + 1)*(2*g + 1)/5
Solve 9/5*r**2 - 27/5*r + 3/5*r**3 + 3 = 0 for r.
-5, 1
Find v such that 11*v**4 + 7*v**3 + v**5 + 3*v**5 + 2*v**3 - 5*v**2 - v + 6*v**2 = 0.
-1, 0, 1/4
Let b(i) be the third derivative of -i**5/180 + i**4/12 - 4*i**3/9 - 37*i**2. Factor b(l).
-(l - 4)*(l - 2)/3
Determine h, given that 0 + 2/3*h**3 - 2/3*h**4 + 0*h - 2/3*h**5 + 2/3*h**2 = 0.
-1, 0, 1
Let u = 13/8 + -1/8. Factor 3/2*q**2 + u*q - 3.
3*(q - 1)*(q + 2)/2
Let f(d) = 6*d**3 + 24*d**2 - 12. Let z(h) = -h**3 + h**2. Let p(b) = -f(b) + 3*z(b). Suppose p(g) = 0. What is g?
-2, -1, 2/3
Let y(f) = -6*f**2 - 3*f + 2. Suppose 4*d = 31 - 7. Let u = d - -8. Let s(l) = 19*l**2 + 10*l - 7. Let r(v) = u*y(v) + 4*s(v). Find w, given that r(w) = 0.
-1/4, 0
Let f = -565 + 565. Factor 1/3*d**4 + f*d**2 - 1/3 + 2/3*d - 2/3*d**3.
(d - 1)**3*(d + 1)/3
Factor -5*p**3 - 5*p**2 + 345 + 10*p - 345.
-5*p*(p - 1)*(p + 2)
Let c be (-34)/(-28) - (-6)/21. Let v(o) = -o**3 + 18*o**2 - 28*o + 190. Let p be v(17). Determine t, given that -3/2*t**2 - c - p*t = 0.
-1
Suppose -y = -8 + 6. Let j(n) be the first derivative of -1/3*n**3 - n - y - n**2. Suppose j(g) = 0. What is g?
-1
Let m(a) be the second derivative of a**7/735 + a**6/84 + a**5/35 - a**4/21 - 8*a**3/21 - 3*a**2/2 - a. Let o(i) be the first derivative of m(i). Factor o(v).
2*(v - 1)*(v + 2)**3/7
Let v(h) be the first derivative of 3*h**5/20 + 9*h**4/16 + h**3/2 + 1. Factor v(d).
3*d**2*(d + 1)*(d + 2)/4
Let x(b) be the first derivative of b**4/2 - 4*b**3/3 + b**2 + 5. Factor x(n).
2*n*(n - 1)**2
Let c(j) be the second derivative of -j**7/3780 - j**6/1080 + j**5/90 - j**4/4 - j. Let w(f) be the third derivative of c(f). Factor w(t).
-2*(t - 1)*(t + 2)/3
Let m = 27 - 23. Suppose 6 = m*h - 2. Find p, given that -2*p**h - 2/9 + 4/3*p = 0.
1/3
Let o be 36/108*(-4)/(-6). Factor 0 + 4/9*t**3 + 0*t**2 - o*t**4 + 0*t.
-2*t**3*(t - 2)/9
Let r = -31 - -33. Let n = 382/5 - 76. Factor 1/5*w + 0 - n*w**r + 1/5*w**3.
w*(w - 1)**2/5
Let b(s) be the third derivative of -s**5/120 + s**4/48 + 3*s**2. Factor b(y).
-y*(y - 1)/2
Suppose -8/9 - 22/9*x - 14/9*x**2 = 0. Calculate x.
-1, -4/7
Factor j + 2*j - j**3 - 2*j**3 + 0*j.
-3*j*(j - 1)*(j + 1)
Factor 0*t**3 - 36*t**3 - 40*t**2 + 0*t**3 + 14*t**4 + 12*t + 2*t**4.
4*t*(t - 3)*(t + 1)*(4*t - 1)
Factor 0 - m + 1/2*m**2.
m*(m - 2)/2
Let q(f) = f**3 + 4*f**2 - 6*f - 3. Let u be q(-5). Let 21/5*v**u + 12/5*v**3 + 0 - 6/5*v = 0. Calculate v.
-2, 0, 1/4
Factor -1/2*g**2 + 5/2 + 2*g.
-(g - 5)*(g + 1)/2
Suppose -9 = -3*i + 3. Suppose 0 = -2*g + 2 - 10, -i*n - 4*g = -20. Factor -5*b**3 + n*b**2 - 2 - 3*b**3 + 5*b**2 - 4*b.
-2*(b - 1)**2*(4*b + 1)
Let d(o) be the first derivative of -o**3/15 + 6*o**2/5 - 11*o/5 - 40. Factor d(z).
-(z - 11)*(z - 1)/5
Let -3*b - b**4 + 6*b + 0*b**3 - 4*b**3 + 5*b**3 + 5*b**2 = 0. Calculate b.
-1, 0, 3
Find m such that 2*m**3 - 3*m**2 + m**2 + 0*m**2 + 0*m**2 = 0.
0, 1
Solve -6/7 + 10/7*y - 2/7*y**2 - 2/7*y**3 = 0.
-3, 1
Let k = -21 + 11. Let y = -7 - k. Let 1/4*t - t**4 - t**2 + 0 + 1/4*t**5 + 3/2*t**y = 0. Calculate t.
0, 1
Let a(j) be the second derivative of j**7/21 - 7*j**6/15 + 3*j**5/2 - 3*j**4/2 + 28*j. Let a(g) = 0. Calculate g.
0, 1, 3
Let u = -1304/7 + 377/2. Let l = u + -12/7. Factor 1/4*g**2 - 1/4*g**3 + 0 + l*g.
-g*(g - 2)*(g + 1)/4
Let t be (-16)/(-2) + -2*1. Let z(a) be the first derivative of 5/4*a**4 - 2 + 6*a**2 - t*a**3 + 8*a. Let z(l) = 0. Calculate l.
-2/5, 2
Let r be (-3 - -6) + (-51)/(-18)*-1. Let n(f) be the second derivative of 1/20*f**5 - r*f**4 + 0*f**2 + 0 + 1/6*f**3 - 2*f. Determine l, given that n(l) = 0.
0, 1
Suppose -6 = -7*u + 4*u. Factor -4*z + 8 + z - 5*z - 6*z**u.
-2*(z + 2)*(3*z - 2)
Let l = -1 - -3. Let f(h) = -h**2 + 2*h + 0*h**l + h + 0*h**2. Let r(y) = -4*y**2 + 13*y. Let i(p) = -26*f(p) + 6*r(p). Factor i(b).
2*b**2
Let v(j) be the third derivative of -j**7/420 + j**6/120 - j**4/24 + j**3/12 + 38*j**2. Factor v(o).
-(o - 1)**3*(o + 1)/2
Let a(t) be the third derivative of -t**7/560 + 7*t**6/160 - 49*t**5/160 + 22*t**2. Factor a(j).
-3*j**2*(j - 7)**2/8
Let g(v) be the first derivative of 2*v**6/3 - 14*v**5/5 - v**4/2 + 52*v**3/3 - 28*v**2 + 16*v + 40. Let g(b) = 0. Calculate b.
-2, 1/2, 1, 2
Let a(j) be the third derivative of -j**6/80 - 3*j**5/40 - j**4/8 + 9*j**2 + 2*j. Solve a(o) = 0.
-2, -1, 0
Let m be (6 - 6)*(-2 + -1 - -2). Factor m - 8/7*y**2 + 4/7*y + 8/7*y**4 - 4/7*y**5 + 0*y**3.
-4*y*(y - 1)**3*(y + 1)/7
Suppose -1 + 28*o - 4*o**3 - 12*o**2 + 1 - 12*o = 0. What is o?
-4, 0, 1
Suppose 0 = -3*s + 3, 4*s = -c + 2 + 7. Let h(d) be the second derivative of -1/3*d**4 - 1/3*d**2 + 0 - 2/15*d**c - 1/45*d**6 - 4/9*d**3 + d. Solve h(b) = 0.
-1
Let s(n) = -n**5 + 6*n**4 - 3*n**3 - 5*n**2 + 5*n + 5. Let d(j) = j**5 - 5*j**4 + 2*j**3 + 4*j**2 - 4*j - 4. Let u(p) = -5*d(p) - 4*s(p). Solve u(z) = 0 for z.
-1, 0, 2
Let b(o) = o**2. Let q(x) = 80*x**2 - 45*x + 10. Let k(a) = -30*b(a) + q(a). Factor k(s).
5*(2*s - 1)*(5*s - 2)
Let g(q) = q - 43. Let m be g(43). Solve -2/7*s**4 + 0 + m*s + 0*s**3 + 0*s**2 = 0.
0
Let q = 4 + -4. Solve q*r + 3*r**3 - 2*r**5 - r**5 + 0*r = 0 for r.
-1, 0, 1
Let l(p) be the second derivative of -p**7/42 + p**6/30 + p**5/10 - p**4/6 - p**3/6 + p**2/2 - p. Solve l(s) = 0.
-1, 1
Let z(h) = h**3 + 11*h**2 - 3*h - 27. Let p be z(-11). Suppose 0 = -4*y - 2*x + 24, -2*y + 5*y - 16 = -2*x. Factor -p*c**2 + y*c - 8/3.
-2*(3*c - 2)**2/3
Factor -2/3*r**3 + 0*r**2 + 0 + 0*r**4 + 0*r + 2/3*r**5.
2*r**3*(r - 1)*(r + 1)/3
Let i(b) be the second derivative of b**5/4 + 5*b**4/12 - 5*b**3/6 - 5*b**2/2 - 11*b. Find u such that i(u) = 0.
-1, 1
Let x(p) be the first derivative of -2/9*p - 22/9*p**3 + 9 - 20/9*p**4 - 10/9*p**2 - 32/45*p**5. Find j such that x(j) = 0.
-1, -1/4
Let o be (-1 - -2)/((-1)/(-1)). Let b = 13 - o. Let -q**2 + 12*q - b*q + q**4 = 0. What is q?
-1, 0, 1
Let g(w) = 50*w**2 - 20*w + 5. Let p(n) be the third derivative of 5*n**5/6 - 5*n**4/6 + n**3 - 3*n**2. Let x(o) = 4*g(o) - 3*p(o). Factor x(v).
2*(5*v - 1)**2
Let g(m) = -7*m - 2. Let x be g(-2). Suppose -3*y = -y - x. Factor 0*f**2 - 6*f**3 + 2*f**2 + y*f - 1 + 4 - 5.
-2*(f - 1)*(f + 1)*(3*f - 1)
What is x in 14/3*x**4 + 0 - 8/3*x**2 + 4/3*x**5 + 0*x + 8/3*x**3 = 0?
-2, 0, 1/2
Solve -5*i**3 - 135 + 4*i + 145 + 11*i = 0.
-1, 2
Let l(m) = -4*m**2 + 8*m - 10. Let w(d) = 11*d**2 - 23*d + 29. Suppose 5*p + 3*b - 79 = 0, -p + 4*b = 2*b - 21. Let u(k) = p*l(k) + 6*w(k). Factor u(y).
-2*(y - 1)*(y + 2)
Let z(l) be the third derivative of l**6/480 + l**5/80 - l**4/96 - l**3/8 + 22*l**2. Suppose z(m) = 0. Calculate m.
-3, -1, 1
Let -c**2 + 0*c - 1/2*c**3 + 0 + 18*c**5 + 37/2*c**4 = 0. Calculate c.
-1, -1/4, 0, 2/9
Factor 3*v**2 - 5 + v + 6*v**2 - 4*v**2 + 5*v**3 - 6*v.
5*(v - 1)*(v + 1)**2
Let w(y) be the second derivative of y**4/15 + 2*y**3/5 - 8*y**2/5 - 33*y. Suppose w(x) = 0. Calculate x.
-4, 1
Factor 4/7*g**2 - 10/7 - 18/7*g.
2*(g - 5)*(2*g + 1)/7
Let z(d) be the second derivative of 7*d**4/3 - 10*d**3/3 - 4*d**2 + 9*d. Find b, given that z(b) = 0.
-2/7, 1
Let y = 24 + -18. Let g be (-18)/(-21) - (y - 6). Suppose g*l + 6/7*l**2 + 2/7*l**3 + 2/7 = 0. What is l?
-1
Let r(m) be the third derivative of -m**6/60 + 2*m**5/15 - m**4/3 + 6*m**2. Suppose r(w) = 0. What is w?
0, 2
Let y(w) = -14*w**4 - 17*w**3 + w**2 + 3*w + 6. Let h(p) = 27*p**4 + 35*p**3 - 3*p**2 - 5*p - 10. Let s(r) = -6*h(r) - 10*y(r). Solve s(l) = 0.
-2, 0, 2/11
Let h(w) = -1. Let l(x) = -2*x**2 - 4. Let u be -1 + 2 + (-3 - -2). Let v be -2 + (u - 0 - 2). Let b(f) = v*h(f) + l(f). Let b(r) = 0. Calculate r.
0
Let n(d) be the second derivative of 1/6*d**3 + 2*d - 1/2*d**4 + 9/20*d**5 + 0*d**2 + 0 - 2/15*d**6. Solve n(z) = 0 for z.
0, 1/4, 1
Let b(x) = -4*x**2 + 8*x + 6. Suppose 0*q - 24 = 4*q. Let z(r) = -6*r - 5 + r + 4*r**2 - 2*r. Let m(c) = q*z(c) - 5*b(c). Factor m(o).
-2*o*(2*o - 1)
Suppose 3*u + u - 3*c - 6 = 0, -4*u + 2*c = -8. Factor 5*y - y**2 + y**3 - 6*y + 5*y - u*y**2.
y*(y - 2)**2
Let c(a) be the first derivative of -a**6/12 - 3*a**5/10 - 3*a**4/8 - a**3/6 - 11. Let c(h) = 0. Calculate h.
-1, 0
Let n be 0/(3 - 1 - 3). Let x(m) be the third derivative of -1/90*m**5 - 1/36*m**4 - m**2 + 1/180*m**6 + 0 + 1/9*m**3 + n*m. Factor x(w).
2*(w - 1)**2*