hat is g in -2*g**4 + 2*g**5 + 0*g**3 + g**2 + 3*g**2 - j*g**3 + 2*g - 2*g**3 - 2 = 0?
-1, 1
Let i be (0 - 28/(-12)) + -2. Suppose -4*h - 3*q + 4*q = 3, 0 = 5*q - 15. Factor -1/3*l**3 - i*l**2 + 0*l + h.
-l**2*(l + 1)/3
Let w(h) = -34*h**3 + 54*h**2 - 34*h + 14. Let n(z) = 7*z**3 - 11*z**2 + 7*z - 3. Let b(i) = 14*n(i) + 3*w(i). Factor b(a).
-4*a*(a - 1)**2
Solve 0 + 3/5*b**2 + 3*b = 0 for b.
-5, 0
Let f(o) = -o**2 + 8*o. Let b(i) = -i**2 + 3*i - 11*i + 7*i. Let w(m) = -2*b(m) - f(m). Factor w(g).
3*g*(g - 2)
Suppose 3/4*q + 0 - 1/4*q**2 = 0. Calculate q.
0, 3
Let i(g) be the third derivative of g**5/75 - 8*g**3/15 - 16*g**2. Factor i(z).
4*(z - 2)*(z + 2)/5
Let k(s) be the third derivative of -s**6/120 + s**5/30 + s**4/12 + s**3/6 - 2*s**2. Let j be k(-1). Factor 6/7*t - 4/7 + 4/7*t**j.
2*(t + 2)*(2*t - 1)/7
Let n(k) = -7*k**3 - 11*k**2 - 9*k - 10. Let f(g) = g**3 + g**2 + g + 1. Let r(t) = -6*f(t) - n(t). Let x(w) be the first derivative of r(w). Factor x(b).
(b + 3)*(3*b + 1)
Factor -2 + 39*p**3 + 24*p**2 - 2 + 12*p**4 - 71*p**3.
4*(p - 1)**3*(3*p + 1)
Let y(h) be the first derivative of 7*h**3 + 3*h**2/2 - 18*h - 3. Let b(s) = -6*s**2 - s + 5. Let v(o) = 18*b(o) + 5*y(o). Solve v(n) = 0 for n.
-1, 0
Let w = 38 + -151/4. Solve -5/4*x**4 - 1/4 - w*x**5 - 5/4*x - 5/2*x**2 - 5/2*x**3 = 0 for x.
-1
Let x(q) be the third derivative of 1/12*q**4 + 0*q + 2/9*q**3 + 0*q**5 - 8*q**2 + 0 - 1/180*q**6. Suppose x(a) = 0. What is a?
-1, 2
Let t(w) be the first derivative of w**6/20 + 3*w**5/20 - w**3/2 - 3*w**2/4 + 10*w - 9. Let u(s) be the first derivative of t(s). Factor u(m).
3*(m - 1)*(m + 1)**3/2
Suppose 16 = 5*j - 3*b, 0 = j - 0*j - b - 4. Let h = -2 + j. Determine d so that -d**2 + 1/2*d**4 + h*d + 0*d**3 + 1/2 = 0.
-1, 1
Let n = 12785/3 - 4224. Let x = 38 - n. Suppose 1/3*z**2 + 0 + x*z = 0. Calculate z.
-1, 0
Factor 3*o**4 - 1 - 23 - 12*o - 69*o**3 + 73*o**2 + 17*o**2 + 12*o**4.
3*(o - 2)**2*(o - 1)*(5*o + 2)
Let t(r) be the first derivative of r**4/6 + 8*r**3/15 - 4*r**2/5 - 3*r + 3. Let j(l) be the first derivative of t(l). Factor j(i).
2*(i + 2)*(5*i - 2)/5
Factor 10/11*l**2 + 14/11*l**3 + 0 + 6/11*l**4 + 2/11*l.
2*l*(l + 1)**2*(3*l + 1)/11
Let s(o) be the third derivative of o**5/210 + o**4/21 + 4*o**3/21 - 4*o**2. Factor s(q).
2*(q + 2)**2/7
Factor -6*y**3 + 4*y + 3*y**3 - 6*y**2 - 4*y - 3*y.
-3*y*(y + 1)**2
Let a = 9/8 - 403/360. Let y(h) be the third derivative of 0*h**3 + 0*h**4 + 1/45*h**5 + 0*h + 0 + h**2 + a*h**6. Determine v so that y(v) = 0.
-2, 0
Let d(k) = 2*k**2 + 28*k + 26. Let v be d(-13). Factor 2*g**2 + 2/3*g**3 + v*g - 8/3.
2*(g - 1)*(g + 2)**2/3
Let w be -1*(2 + 16)/3. Let h be 20/w - (-14 - -10). Factor 2*c - 2/3 + h*c**3 - 2*c**2.
2*(c - 1)**3/3
Suppose 3*t + 12 = 9*t. Let n(p) be the second derivative of -p + 0 + 2/21*p**3 + 1/42*p**4 + 1/7*p**t. Determine q so that n(q) = 0.
-1
Let w = 2 - -1. Factor -1/3*j**4 + 2/3*j**w + 1/3 - 2/3*j + 0*j**2.
-(j - 1)**3*(j + 1)/3
Suppose 28*d**2 - 13*d**2 + 3*d**3 + 2*d**3 - 20 = 0. Calculate d.
-2, 1
Let v(c) be the third derivative of c**7/6 - 23*c**6/60 - 3*c**5/20 + 2*c**4/3 + 2*c**3/3 - 2*c**2. Factor v(x).
(x - 1)**2*(5*x + 2)*(7*x + 2)
Let k(v) = -v**3 + 8*v**2 + 2. Let m(x) = -x**3 + 8*x**2 + 11*x - 10. Let w be m(9). Let f be k(w). Factor 0*n**2 - f*n**2 + 3*n**2.
n**2
Let r(y) = 3*y. Let x be r(-2). Let m be (3 - (-15)/x)*6. Determine q, given that 37*q**m + 8*q**3 - 48*q**2 + 18*q - 2 - 13*q**3 = 0.
1/4, 1
Suppose 11*x + 20 = 8*x - 4*t, -10 = 2*x + 2*t. Factor -3*c**3 - 3/4*c**4 + x - 15/4*c**2 - 3/2*c.
-3*c*(c + 1)**2*(c + 2)/4
Let p(r) be the second derivative of -2*r**6/45 + r**5/15 + 4*r**4/9 - 8*r**3/9 - 10*r. Factor p(y).
-4*y*(y - 2)*(y - 1)*(y + 2)/3
Let w(f) be the first derivative of -2/7*f**5 + 1 + 25/21*f**6 + 0*f**2 - 8/7*f**4 + 0*f - 8/21*f**3. Factor w(i).
2*i**2*(i - 1)*(5*i + 2)**2/7
Let t be (-2)/(2 - 6)*16/6. Factor t + 1/3*d**2 - 4/3*d.
(d - 2)**2/3
Suppose 0 = -11*r + 12*r. Let 0*g + 1/2*g**2 + r = 0. Calculate g.
0
Let i be (-5)/(-4) - (-6 - -7). Solve 0 - 1/4*w**2 + i*w**4 + 1/4*w**3 - 1/4*w**5 + 0*w = 0.
-1, 0, 1
Let w(f) be the second derivative of f**8/11760 + f**7/4410 + 2*f**4/3 - f. Let y(p) be the third derivative of w(p). Factor y(s).
4*s**2*(s + 1)/7
Let f(u) be the first derivative of 5*u**3/3 + u**2/2 - 3. Let j(q) = 36*q**2 + 8*q. Let n(w) = -44*f(w) + 6*j(w). Factor n(k).
-4*k*(k - 1)
Let v be (14/21)/((-2)/(-9)). Suppose 0 = -4*z - o + 4, 3*z - 27 = v*o - 9. Factor 0*y**z - 1/5*y**3 + 0 + 1/5*y.
-y*(y - 1)*(y + 1)/5
Let c be (2 + 1)/(9/22). Let g(q) be the first derivative of -12*q**2 - c*q**3 + 8*q + 15*q**4 + 10*q**5 + 2. Factor g(a).
2*(a + 1)**2*(5*a - 2)**2
Let y = 5/21 - -1/84. Let d(x) be the first derivative of -1/4*x - y*x**4 - 1/20*x**5 - 4 - 1/2*x**3 - 1/2*x**2. Determine a, given that d(a) = 0.
-1
Let w(i) be the third derivative of -i**9/3360 + i**8/840 - i**7/630 - i**5/10 - 5*i**2. Let m(n) be the third derivative of w(n). Factor m(f).
-2*f*(3*f - 2)**2
Factor 0*h + 2 + h**2 - 2*h - 2.
h*(h - 2)
Let a(s) = s**3 - 6*s**2 + 7*s - 5. Let j be a(5). Let c(v) = -10*v**2 + 10. Let b(r) = -7*r**2 + 7. Let k(z) = j*c(z) - 7*b(z). What is f in k(f) = 0?
-1, 1
Let r = -86 - -86. Factor 0*w**2 + 2/3*w**3 - 2/3*w + r.
2*w*(w - 1)*(w + 1)/3
Let c(s) be the first derivative of s**5/20 + s**4/16 - s**3/12 - s**2/8 - 11. Factor c(n).
n*(n - 1)*(n + 1)**2/4
Let h(u) be the third derivative of 0*u**3 + 0*u**4 + 0 - u**2 + 1/240*u**5 - 1/240*u**6 + 0*u + 1/840*u**7. Find z such that h(z) = 0.
0, 1
Let o(r) be the third derivative of -r**7/42 + 5*r**6/24 - 3*r**5/4 + 35*r**4/24 - 5*r**3/3 - 18*r**2. Factor o(x).
-5*(x - 2)*(x - 1)**3
Let k(q) be the third derivative of q**9/20160 - q**7/560 - q**6/120 + q**5/30 - 3*q**2. Let v(b) be the third derivative of k(b). Factor v(i).
3*(i - 2)*(i + 1)**2
Suppose 4*l = 3*f - 0*f + 20, -2*l = f. Let 4*v**2 + l*v**3 + 4*v**2 + 4 - 4*v + 14*v = 0. Calculate v.
-2, -1
Let v(o) = 45*o**2 - 215*o + 215. Let w(t) = -5*t**2 + 24*t - 24. Let a(f) = -4*v(f) - 35*w(f). What is r in a(r) = 0?
2
Suppose -4*w - 10 + 14 = 0. Let a(g) = -2*g - 2. Let f be a(-2). Factor -t**f + 0*t**2 - w + 2.
-(t - 1)*(t + 1)
Let w = -24/11 + 371/165. Let m(t) be the second derivative of 2/75*t**6 - 4*t + 3/50*t**5 + 0*t**2 + 0 - w*t**3 + 0*t**4. Factor m(g).
2*g*(g + 1)**2*(2*g - 1)/5
Let l(g) be the third derivative of 0*g**4 + 0*g + 2*g**2 - 1/240*g**5 - 1/240*g**6 + 0*g**3 + 0 + 1/280*g**7. Factor l(w).
w**2*(w - 1)*(3*w + 1)/4
Let s(v) be the second derivative of 0 - 1/36*v**4 + 0*v**2 + 2*v + 1/18*v**3. Solve s(r) = 0 for r.
0, 1
Let t(a) = -a + 16. Let h be t(-12). Factor -g**2 - 6*g**2 - 9*g**3 + h*g**4 - g**2 - 11*g**3.
4*g**2*(g - 1)*(7*g + 2)
Let k(q) be the third derivative of -49*q**6/60 + 7*q**5/3 + 13*q**4/3 + 8*q**3/3 + 6*q**2. Suppose k(h) = 0. What is h?
-2/7, 2
Let z be (1 - 0)/(3/12). Let -3*n**2 + z*n**2 - 3*n + 2*n = 0. Calculate n.
0, 1
Let a(k) be the third derivative of k**8/2688 - k**7/840 - k**6/480 + k**5/60 - 7*k**4/192 + k**3/24 + 14*k**2. Solve a(x) = 0.
-2, 1
Let a be (-9)/2*2/(-3). Suppose 0*o + a*o = 2*i + 6, -6 = -3*o. Factor i*w - 1 + 3/4*w**2 + 1/4*w**3.
(w - 1)*(w + 2)**2/4
Solve -2/5 - c**2 - 7/5*c = 0.
-1, -2/5
Let h = -4/39 + 10/13. Factor 0*n**2 - 2/3 + h*n**4 + 4/3*n**3 - 4/3*n.
2*(n - 1)*(n + 1)**3/3
Let n = -43/35 - -10/7. Let j(t) be the first derivative of n*t**2 - 2/15*t**3 + 2/5*t - 1/10*t**4 + 1. Suppose j(m) = 0. What is m?
-1, 1
Determine g so that 0*g + 5/3 - 5/3*g**2 = 0.
-1, 1
Let g(u) be the second derivative of -u**5/180 - u**4/72 - 2*u**2 - u. Let p(o) be the first derivative of g(o). Solve p(l) = 0 for l.
-1, 0
Let n = 1 - -2. Find h such that h**3 - 2*h**4 + 5*h**4 + 11*h**n + 6*h + 15*h**2 = 0.
-2, -1, 0
Find j, given that -33 + 8846*j**2 - 12 - 8841*j**2 = 0.
-3, 3
Let g(y) be the first derivative of -3*y**4/4 + 3*y**2/2 - 1. Factor g(t).
-3*t*(t - 1)*(t + 1)
Let v(g) = 6*g**3 - g**2 - 17*g + 24. Let y(x) = x**3 - 3*x + 4. Let a(z) = 6*v(z) - 34*y(z). Determine r so that a(r) = 0.
-1, 2
Let p = 28 - 28. Factor p*l**2 + 1/2*l + 0 - 1/2*l**3.
-l*(l - 1)*(l + 1)/2
Let q(b) = b**3 - 5*b**2 - 8*b + 9. Let c be q(6). Let d = 5 + c. Factor -4/3*w - 2/3 - 2/3*w**d.
-2*(w + 1