1)*(t + 1)
Let m be -2 - -1*12/2. Let n be -2*(-2)/36*3. Factor -z**m + 1/3*z**3 + 0 + z**2 - n*z.
-z*(z - 1)*(z + 1)*(3*z - 1)/3
Factor -4/7*b**3 + 0 + 0*b + 4/7*b**2.
-4*b**2*(b - 1)/7
Let r(z) = -5*z - 23. Let y be r(-11). Let o be y/11 + (-24)/12. Factor -o*q - 2/11 - 20/11*q**2 - 10/11*q**4 - 20/11*q**3 - 2/11*q**5.
-2*(q + 1)**5/11
Let i(n) = 6*n**4 + 2*n**3 - 6*n**2 - 2*n - 2. Let k(q) = -31*q**4 - 9*q**3 + 31*q**2 + 9*q + 11. Let h(c) = 11*i(c) + 2*k(c). Solve h(l) = 0.
-1, 0, 1
Let j = -7 - -11. Let d be 1/j + (-7)/(-4). Factor -c**d + c**2 - 2*c**5 + 2*c**3.
-2*c**3*(c - 1)*(c + 1)
Let m(j) = -j + 9. Let g be m(5). Suppose g*y = -5*k - 13, 2*k + 18 = y - k. Find s, given that -1/2*s**y + 0*s + 1/4*s**2 + 0 + 1/4*s**4 = 0.
0, 1
Let l = -835 - -250501/300. Let c(o) be the third derivative of 0*o + 0 + 0*o**4 + l*o**5 + 5*o**2 - 1/30*o**3. Solve c(q) = 0.
-1, 1
Factor 6*f**2 + 2/5*f**4 + 0 + 10*f - 18/5*f**3.
2*f*(f - 5)**2*(f + 1)/5
Let m(o) = 2*o - 11. Let t be m(8). Suppose t - 1 = k. Factor g**4 + 5*g**2 + g - 4*g**2 + 7*g**3 + 2*g**4 + k*g**2.
g*(g + 1)**2*(3*g + 1)
Factor 0*o + 3/4*o**5 - o**3 + 0*o**2 + 0 + o**4.
o**3*(o + 2)*(3*o - 2)/4
Let a(z) be the third derivative of -z**5/20 + z**4/4 - z**3/2 - 7*z**2 - 6. Factor a(g).
-3*(g - 1)**2
Suppose 0*x = 2*x - 4. Let 0*f + 3*f - f**2 + f + 5*f**x = 0. Calculate f.
-1, 0
Let u be -1 + 2 + 216/(-220). Let s(k) be the second derivative of u*k**5 + 0*k**4 + 1/11*k**2 - 1/165*k**6 + 0 - 2/33*k**3 + 3*k. Let s(h) = 0. What is h?
-1, 1
Factor 232*m + 5096*m**3 + 15*m + 4359*m**5 + 443*m**5 + 9*m - 7889*m**4 - 16 - 1624*m**2.
(2*m - 1)*(7*m - 2)**4
Let d(j) = -j**2 + 23*j. Let v(f) = 24*f. Let m(g) = -4*d(g) + 3*v(g). Solve m(x) = 0 for x.
0, 5
Let x(a) = 5*a - 65. Let k be x(14). Let 0*s + 0*s**2 - 1/7*s**k + 1/7*s**4 + 0 + 0*s**3 = 0. Calculate s.
0, 1
Let u(f) be the second derivative of 3*f**4/10 - 7*f**3 + 66*f**2/5 - f - 3. Factor u(z).
6*(z - 11)*(3*z - 2)/5
Let s = 0 + 4. Let w(u) be the second derivative of -1/18*u**3 - 1/36*u**s + 0 - 2*u + 0*u**2. Solve w(c) = 0.
-1, 0
Let a(r) be the second derivative of r**4/54 - 4*r**3/27 + r**2/3 + 30*r. Solve a(k) = 0 for k.
1, 3
Let a(u) be the third derivative of u**8/6720 - u**7/1680 - u**5/60 + 2*u**2. Let i(j) be the third derivative of a(j). Suppose i(h) = 0. Calculate h.
0, 1
Let s(c) = c**2 + 9*c - 7. Let m be s(-10). Let x(y) be the first derivative of 1/4*y**4 + 0*y**2 + 0*y**m + 0*y + 3. Factor x(b).
b**3
Let v(l) be the third derivative of -1/60*l**6 + 1/336*l**8 - 1/30*l**5 + 1/210*l**7 + 1/6*l**3 + 0 + 0*l + l**2 + 1/24*l**4. Factor v(k).
(k - 1)**2*(k + 1)**3
Let m = -495/7 - -71. Suppose 2*d = -0*d + 4. Find c, given that -8/7*c + m*c**d + 8/7 = 0.
2
Solve 0 + 2*y**2 + 4/3*y = 0.
-2/3, 0
Let i be (3/9)/(4/36). Suppose -16*l**2 - 4*l + 12*l**3 + 2*l**3 + i + 6*l - 3*l**4 = 0. What is l?
-1/3, 1, 3
Let a be (-37 + 42)*(0 + (-24)/(-70)). Factor -3/7*h**2 - a*h - 12/7.
-3*(h + 2)**2/7
Let u be (18/(-120))/((-3)/12). Let t(z) be the first derivative of 1/5*z**3 - u*z**2 + 2 + 0*z + 3/20*z**4. Factor t(c).
3*c*(c - 1)*(c + 2)/5
Let z be (-213)/60 + (-1)/(-1). Let h = 11/4 + z. Factor 0 + 1/5*i**2 - 1/5*i**3 - h*i**4 + 1/5*i.
-i*(i - 1)*(i + 1)**2/5
Let z(b) be the third derivative of 0 + 0*b**4 + 0*b**3 - 1/1176*b**8 - 1/735*b**7 - 3*b**2 + 1/420*b**6 + 1/210*b**5 + 0*b. What is i in z(i) = 0?
-1, 0, 1
Determine s so that 3/4*s**2 + 1/4 - 1/4*s**3 - 3/4*s = 0.
1
Suppose 5*y + 2*g = 19, 4*y - 8 - 8 = -2*g. Let m(d) = d**3 - 2*d**2 - 2*d - 3. Let q be m(y). Let 1/2*k**3 + q + 0*k + 1/2*k**2 = 0. Calculate k.
-1, 0
Let m(c) be the second derivative of -c**5/300 - c**4/60 - c**3/30 - c**2 + 3*c. Let v(b) be the first derivative of m(b). Factor v(a).
-(a + 1)**2/5
Let b(o) = -36*o**2 - 76*o - 40. Suppose -a + 15 = 4*a. Let f(k) = 7*k**2 + 15*k + 8. Let v(r) = a*b(r) + 16*f(r). Factor v(y).
4*(y + 1)*(y + 2)
Let c(d) be the first derivative of 3*d**5/5 - 3*d**4/4 - 13. Determine q, given that c(q) = 0.
0, 1
Let a(q) = q**3 + 31*q**2 + 21*q - 9. Let l(u) = 6*u**2 + 4*u - 2. Let y(k) = 2*a(k) - 11*l(k). Let y(g) = 0. What is g?
-1, 1, 2
Let h(o) be the third derivative of o**5/600 + o**4/48 + o**3/10 + 44*o**2. Factor h(u).
(u + 2)*(u + 3)/10
Let w(p) = p**5 + p**2 - 1. Let u(b) = 7*b**5 - 3*b**4 - 6*b**3 + 4*b**2 - 4. Let v(k) = u(k) - 4*w(k). Solve v(z) = 0.
-1, 0, 2
Let m(b) = -6*b**3 - 14*b**2 - 10*b - 2. Let n(y) = -7*y**3 - 15*y**2 - 9*y - 1. Let v(h) = 5*m(h) - 4*n(h). Solve v(j) = 0.
-3, -1
What is q in -2/19*q**2 - 10/19*q - 8/19 = 0?
-4, -1
Suppose q + 3 = 2. Let z be q*(-5 - 3/(-1)). Factor 1/4 - 7/4*b + 15/4*b**z - 13/4*b**3 + b**4.
(b - 1)**3*(4*b - 1)/4
Suppose v = 5*r - 2 + 22, 2*v = 2*r + 16. Find i, given that i**2 - 13 - 3 - v*i**2 - 16*i = 0.
-2
Let v(l) = 6*l**5 - 12*l**4 - 8*l**3 + 6*l**2 - 2*l + 2. Let y(r) = r**4 + r**2 + r - 1. Let g(s) = -v(s) - 2*y(s). Suppose g(x) = 0. Calculate x.
-1, 0, 2/3, 2
Let n(x) = x**4 + 2*x**3 - x**2 - 2*x - 2. Let t(k) = k**4 - k**2 - 1. Let o(z) = 2*n(z) - 4*t(z). What is v in o(v) = 0?
-1, 0, 1, 2
Solve 2*m**5 + m**3 - 16 - 8*m**4 - 4*m**3 - 8*m + 5*m**3 + 20*m**2 = 0 for m.
-1, 2
Let d(a) = 5*a**4 - 18*a**3 + 15*a**2 - 2*a. Let q(o) = 19*o**4 - 72*o**3 + 61*o**2 - 8*o. Let g(m) = -26*d(m) + 6*q(m). What is z in g(z) = 0?
0, 1/4, 1
Let g be (-2)/5*(-3 - (-60)/70). Factor 2/7*k**5 - g*k**3 - 10/7*k**2 + 0 + 2/7*k**4 - 4/7*k.
2*k*(k - 2)*(k + 1)**3/7
Suppose 7*f - 2*f = 10. Factor 8*o**2 - 28*o - o**2 + f*o**2 + 25*o.
3*o*(3*o - 1)
Factor -4 + 2 + 4*u**2 + 2 - 4*u**4.
-4*u**2*(u - 1)*(u + 1)
Let u(a) = -a**3 - a - 1. Let i = 4 + -3. Let k(d) = d**4 + 3*d**2 + 8*d. Let v(p) = i*k(p) + 4*u(p). Factor v(z).
(z - 2)**2*(z - 1)*(z + 1)
Factor 0 + 0*d - 3*d**3 + 3*d**2 + 3/4*d**4.
3*d**2*(d - 2)**2/4
Let s be 1/(7/2)*(-14)/(-6). Factor -1/3*x**2 - x - s.
-(x + 1)*(x + 2)/3
Let i(a) be the second derivative of a**9/1080 + 2*a**8/525 + a**7/525 - 7*a**3/6 + 7*a. Let r(u) be the second derivative of i(u). Factor r(f).
2*f**3*(f + 2)*(7*f + 2)/5
Let p(m) = m**2 - m - 1. Let q be 5 + -3 - 20/(-2). Let x(r) = r**4 - 5*r**3 + 5*r**2 - 3*r + 6. Let w(f) = q*p(f) + 3*x(f). Factor w(j).
3*(j - 2)*(j - 1)**3
Let f(c) be the third derivative of c**6/600 - c**5/100 + c**4/40 - c**3/30 + 15*c**2. Suppose f(t) = 0. What is t?
1
Let t = -3 + 2. Let c(b) = b**5 + b**2 - b + 1. Let z(f) = -4*f**5 + 3*f**4 + 3*f**3 - 4*f**2 + 5*f - 5. Let w(i) = t*z(i) - 5*c(i). Let w(g) = 0. Calculate g.
-1, 0
Let n = -123/2 - -62. Factor 1 - 2*d**2 + 3/2*d**3 - n*d.
(d - 1)**2*(3*d + 2)/2
Let h(t) be the first derivative of -t**6/3 + 2*t**5/5 - 7. Determine l so that h(l) = 0.
0, 1
Let g(c) be the first derivative of -5/8*c**2 - 1/4*c + 1 - 1/3*c**3. Factor g(q).
-(q + 1)*(4*q + 1)/4
Let i(c) be the first derivative of -2*c**3/21 + 8*c**2/7 - 2*c - 6. Find o, given that i(o) = 0.
1, 7
Let c(y) = y**2 - y - 1. Let h(f) = 5*f**4 + 5*f**3 - 2*f**2 - 8*f - 3. Let v(r) = -3*c(r) + h(r). What is o in v(o) = 0?
-1, 0, 1
Let i(a) be the third derivative of a**7/10080 - a**5/480 - a**4/24 + 2*a**2. Let y(h) be the second derivative of i(h). Determine b so that y(b) = 0.
-1, 1
Let q = -280 - -16801/60. Let c(b) be the second derivative of -q*b**6 - 1/24*b**4 + 0*b**2 + 0 + 0*b**3 - 2*b + 1/20*b**5. Factor c(w).
-w**2*(w - 1)**2/2
Solve 24/7 + 78/7*s**2 - 20/7*s**3 - 88/7*s = 0.
2/5, 3/2, 2
Let f be 1/(-3)*6/(-7). Let u be (-3)/(4 + -3) + 5. Determine o, given that 2/7*o**3 - f + 2/7*o**u - 2/7*o = 0.
-1, 1
Let x = -409/330 + 14/11. Let l(u) be the first derivative of 2/15*u**3 - x*u**6 + 0*u**4 + 1/10*u**2 - 2/25*u**5 + 0*u - 3. Solve l(b) = 0 for b.
-1, 0, 1
Let m = 4412 - 17535/4. Let q = m - 28. What is n in q + 3/4*n**2 - n = 0?
1/3, 1
Let s(i) = i**2 - 7*i - 4. Let h be s(8). Let t(y) be the third derivative of -1/420*y**6 - 1/21*y**h + 2/105*y**5 + 0*y**3 + 0*y - 2*y**2 + 0. Factor t(j).
-2*j*(j - 2)**2/7
Let j(n) = -n**3 + 2*n**2 - 1. Let i be j(-1). Let o = -41 - -41. Factor o*p**i + 1/2*p**4 + p - 1/2 - p**3.
(p - 1)**3*(p + 1)/2
Let m be (-2 + 6)*3/3. Suppose -14 = -4*j + 5*j - m*p, -3*p = j - 14. Factor 0*b + 1/2*b**3 + 0 + 1/4*b**4 + 1/4*b**j.
b**2*(b + 1)**2/4
Let q(f) = f**3 + 2*f - 3. Let u be q(2). Let o be (-6 