 x.
-2, 0, 1
Let o be 104/44 - (-10)/(10/(-2)). Determine m, given that -2/11*m**3 - o + 4/11*m**2 + 2/11*m = 0.
-1, 1, 2
Suppose 12 + 0 = 3*f. Let x(u) be the second derivative of -1/18*u**6 + 1/30*u**5 - 1/18*u**7 + 0 + 0*u**3 - 2*u + 0*u**2 + 0*u**f. Factor x(c).
-c**3*(c + 1)*(7*c - 2)/3
Let d(g) be the first derivative of -g**5/25 + 3*g**4/5 - 46*g**3/15 + 6*g**2 - 5*g + 21. Factor d(s).
-(s - 5)**2*(s - 1)**2/5
Let m be -2 - 15*6/(-36). Find r such that 5/4*r + 1/2 + 0*r**2 - 5/4*r**3 - m*r**4 = 0.
-2, -1, -1/2, 1
Let u = -7 + 9. Suppose -3*z + u*z = -2. Determine r so that -2/3*r**z + 0 + 2/3*r = 0.
0, 1
Let t(g) = 6*g**5 + 8*g**4 - 2*g**3 - 6*g**2 - 2*g. Let z(y) = y**2 + y. Let v be (12/(-10))/((-12)/(-40)). Let l(o) = v*z(o) - 2*t(o). Factor l(q).
-4*q**2*(q + 1)**2*(3*q - 2)
Let p(b) = -6*b**4 - 15*b**3 + 57*b**2 - 21. Let q(g) = -g**4 - 2*g**3 + 8*g**2 - 3. Let c(m) = -2*p(m) + 15*q(m). Determine r so that c(r) = 0.
-1, 1
Let c(q) be the third derivative of 1/84*q**7 + 0*q - 1/336*q**8 + 1/80*q**6 - 1/12*q**4 - 1/15*q**5 + 0 + 0*q**3 + 2*q**2. Solve c(z) = 0 for z.
-1, -1/2, 0, 2
Let y(p) be the first derivative of -2/15*p**3 + 1 - 2/5*p + 2/5*p**2. Factor y(t).
-2*(t - 1)**2/5
Let z be (1/(-5))/((-12)/60). Factor 10*s - 4*s - 2*s**2 + 4*s - z - 7.
-2*(s - 4)*(s - 1)
Let l = 8 - 0. Determine x, given that -5*x**2 + 3*x + l*x**2 - 3*x - 3 = 0.
-1, 1
Let a(d) be the third derivative of 0*d**4 - 1/60*d**5 + 1/6*d**3 + 3*d**2 + 0 + 0*d. Factor a(u).
-(u - 1)*(u + 1)
Factor 3/4*d**2 + 0 - 3/4*d - 3/4*d**4 + 3/4*d**3.
-3*d*(d - 1)**2*(d + 1)/4
Factor -3*n**3 + 8*n - 35*n + 12 + 0*n**3 + 18*n**2.
-3*(n - 4)*(n - 1)**2
Let p(o) be the third derivative of -o**9/20160 + o**8/1680 - o**7/336 + o**6/120 - o**5/12 + 2*o**2. Let m(v) be the third derivative of p(v). Factor m(i).
-3*(i - 2)*(i - 1)**2
Let n(k) = -k**2 - 7*k - 3 + 19*k**4 + 24*k**3 + k - 1. Let v(o) = 96*o**4 + 120*o**3 - 6*o**2 - 30*o - 21. Let l(d) = 21*n(d) - 4*v(d). Factor l(c).
3*c*(c + 1)**2*(5*c - 2)
Let v(c) be the third derivative of -2*c**2 + 2/3*c**3 - 1/4*c**4 + 1/30*c**5 + 0*c + 0. What is o in v(o) = 0?
1, 2
Factor 0 + 18/17*c**2 + 4/17*c.
2*c*(9*c + 2)/17
Let n(t) be the third derivative of t**6/24 + 3*t**5 + 90*t**4 + 1440*t**3 + 14*t**2 - 3. Factor n(k).
5*(k + 12)**3
Let n(j) = 1. Let v(c) = -2*c**2 + 5. Let h(x) = 3*n(x) - v(x). What is d in h(d) = 0?
-1, 1
Suppose -u + 16 = 3*u. Let v be ((-4)/(-6))/(u/3). Suppose -2*z - 1/2*z**4 - 3*z**2 - v - 2*z**3 = 0. Calculate z.
-1
Let r(t) be the first derivative of -5 + 0*t**2 - 2/39*t**3 + 2/13*t. Let r(c) = 0. What is c?
-1, 1
Let s(v) be the first derivative of 4*v**3/3 - 4*v**2 + 4*v + 7. Solve s(b) = 0 for b.
1
Let u be 3/36*2/4. Let v(l) be the second derivative of -3*l + u*l**4 - 1/24*l**3 + 0 + 0*l**2 + 7/80*l**5 + 1/30*l**6. Factor v(o).
o*(o + 1)**2*(4*o - 1)/4
Suppose -2*x = h + 6, -3*h - 1 - 2 = x. Let b(t) be the second derivative of 1/8*t**4 + h + 1/4*t**3 - 3*t + 1/4*t**2 + 1/40*t**5. What is d in b(d) = 0?
-1
Let t(a) = -2*a - 33. Let s be t(-18). Find v, given that 1/2*v**s + 1/4 + 0*v**2 - 1/2*v - 1/4*v**4 = 0.
-1, 1
Let b(f) be the third derivative of f**8/168 - f**6/60 + 54*f**2. Suppose b(h) = 0. What is h?
-1, 0, 1
Let z = 678/11 + -3357/55. Find v, given that -z*v**3 - 12/5 - 24/5*v - 3*v**2 = 0.
-2, -1
Let a(g) be the first derivative of 1/16*g**4 - 1/8*g**2 - 1 + 1/4*g - 1/12*g**3. Factor a(c).
(c - 1)**2*(c + 1)/4
Determine b so that 3/5*b**3 - 3/5*b + 3/5 - 3/5*b**2 = 0.
-1, 1
Let q = -108 + 3566/33. Let w = 3/11 + q. Factor 0*r - w*r**3 + r**2 - 4/3.
-(r - 2)**2*(r + 1)/3
Let i(p) be the second derivative of -p**4/12 + 4*p**3/3 - 7*p**2/2 - 22*p. Suppose i(w) = 0. Calculate w.
1, 7
Factor -3/2*k - 3/4*k**4 + 3/4*k**2 + 3/2*k**3 + 0.
-3*k*(k - 2)*(k - 1)*(k + 1)/4
Let d be (1 - 5)*(-6)/8. Factor a - 4 - 10*a**2 + d*a + 9*a**2.
-(a - 2)**2
Let m be (-87 + 82)*-4*2/130. Factor 2/13*u**5 + m*u**4 - 4/13*u**3 - 14/13*u - 4/13 - 16/13*u**2.
2*(u - 2)*(u + 1)**4/13
Let h(b) be the first derivative of -4*b**3/21 - 3*b**2/14 + b/7 + 38. Solve h(w) = 0.
-1, 1/4
Let n(b) = -b**2 + 6*b + 2. Let j be n(6). Find a, given that -10*a**4 + 2*a**3 - 5*a**4 + 16*a**j - 24*a**3 - 15*a**4 + 8*a = 0.
-1, -2/5, 0, 2/3
Let z(c) be the third derivative of c**8/1680 - c**7/525 - c**6/200 + 8*c**2. Factor z(g).
g**3*(g - 3)*(g + 1)/5
Suppose -25*t**2 + 14*t**3 - 17*t**2 + 43*t**3 + 7*t**4 + 6 - 25*t**4 - 3*t = 0. What is t?
-1/3, 1/2, 1, 2
Let z(h) be the third derivative of -h**7/525 - h**6/150 + h**5/150 + h**4/30 - h**2. Factor z(r).
-2*r*(r - 1)*(r + 1)*(r + 2)/5
Let p(s) be the second derivative of -s**8/2240 + s**6/240 + s**4/6 + 3*s. Let q(d) be the third derivative of p(d). Solve q(n) = 0.
-1, 0, 1
Let v = -1324 + 17222/13. Suppose 0 - 4/13*c - 2/13*c**4 - v*c**2 - 8/13*c**3 = 0. Calculate c.
-2, -1, 0
Suppose -3*n**2 + 5*n + 1 - 2*n**2 + 2*n**2 - 3 = 0. What is n?
2/3, 1
Let 0 + 2/3*d - 16/3*d**2 + 32/3*d**3 = 0. Calculate d.
0, 1/4
Let x be 0/4 - (1 + -2). Let d be -3 + 1*x/(-1). Let u(g) = -7*g**2 + 18*g - 27. Let a(w) = 15*w**2 - 36*w + 54. Let i(b) = d*a(b) - 9*u(b). Factor i(t).
3*(t - 3)**2
Let v be (-4)/(-22)*(-17 - -28). Let h(k) be the second derivative of 1/4*k**5 + 0*k**v + 0*k**3 - 1/6*k**4 - 3*k + 0. Solve h(i) = 0 for i.
0, 2/5
Let h(o) = 2*o**3 + 4*o**2 + 2*o - 2. Let w(i) = -1. Let v = 1 - -4. Suppose v = -3*f - 1. Let g(j) = f*w(j) + h(j). Solve g(t) = 0.
-1, 0
Factor 0*r + 0*r**3 + 0 - 5/2*r**4 + 5/2*r**2.
-5*r**2*(r - 1)*(r + 1)/2
Suppose -p = 3*p - 2*z - 22, 5*z + 7 = -2*p. Suppose 2 = 2*s - p. Suppose -6*j**5 + 8*j**4 - j**3 + s*j**3 + 0*j**3 - 4*j**2 = 0. Calculate j.
-2/3, 0, 1
Suppose 0*c + c = 3. Suppose -2 = 6*n - 14. Determine f, given that 3*f - c + 7 + f**2 - n = 0.
-2, -1
Let f(w) be the first derivative of -18/13*w - 2/39*w**3 + 6/13*w**2 + 3. Factor f(m).
-2*(m - 3)**2/13
Let r(l) be the second derivative of l**4/3 - 8*l**3/3 - 10*l**2 + 27*l. Factor r(g).
4*(g - 5)*(g + 1)
Determine d so that -1/4*d**3 - 1/4*d**2 + 3/8*d**4 - 1/8*d**5 - 1/8 + 3/8*d = 0.
-1, 1
Suppose -1 - 2 = -q. What is g in -4*g**5 - g**q + 3*g**3 - 2*g**4 + 0*g**4 = 0?
-1, 0, 1/2
Suppose -2*v = -f - 19, -f = 3*f + 20. Let g(a) = 2*a**2 + 2 - a**2 + 4*a - v. Let c(j) = -2*j**2 - 12*j + 14. Let l(d) = 3*c(d) + 8*g(d). Factor l(t).
2*(t - 1)**2
Let h(x) be the second derivative of x**7/1260 + x**6/180 + x**5/60 - 2*x**4/3 + 4*x. Let m(z) be the third derivative of h(z). Factor m(v).
2*(v + 1)**2
Let x = 40 + -110. Let b be (-46)/x + (-3)/(-15). Factor b*y**2 - 8/7*y + 2/7.
2*(y - 1)*(3*y - 1)/7
Let h(y) = 2*y**2 + 13*y + 13. Let b be 6/(-10) + (-18)/(-5). Let q(s) = s**2 + 7*s + 7. Let j(c) = b*h(c) - 5*q(c). What is g in j(g) = 0?
-2
Let z(b) = -b + 1. Let p(s) = -20*s**4 - 5*s**3 + 20*s**2 - 25*s + 30. Let f(y) = p(y) - 30*z(y). Determine g so that f(g) = 0.
-1, -1/4, 0, 1
Let v be (-2)/6 - (-32)/6. Suppose -5*y - v = -20. Let m**2 + 3 + m**3 - y = 0. What is m?
-1, 0
Determine t, given that -1/4*t**2 + 0 + t = 0.
0, 4
Let i(j) be the first derivative of 2/3*j**3 + 1/2*j**4 + 3 + 0*j**2 + 0*j. Let i(z) = 0. Calculate z.
-1, 0
Let a be (-4)/12 + (-192)/(-9). Let w be (14/a)/((-1)/(-2)). Factor w*x**2 + 2/3*x**3 + 0 + 2/3*x.
2*x*(x + 1)**2/3
Let m(k) be the second derivative of -k**5/5 - 4*k**4/3 + 2*k**3 + 36*k**2 + 5*k. Let m(i) = 0. Calculate i.
-3, 2
Let d(r) be the first derivative of 2*r - 1/2*r**4 + 2*r**3 - 3*r**2 + 2. Determine j, given that d(j) = 0.
1
Suppose 4*l + l + 17 = -4*x, 2*x + 2*l + 6 = 0. Let -x - u**3 + u + 4*u - 2*u = 0. Calculate u.
-2, 1
Let g(d) be the third derivative of -d**7/180 - d**6/90 - d**5/105 + d**4/24 - 3*d**2. Let q(c) be the second derivative of g(c). Suppose q(x) = 0. What is x?
-2/7
Let l(z) be the first derivative of -2 + 0*z**2 + z + 1/15*z**3 - 1/30*z**4. Let b(o) be the first derivative of l(o). Suppose b(s) = 0. What is s?
0, 1
Solve -1 + 11 + 2*p**2 + 0*p - 12*p = 0.
1, 5
Let f(t) be the first derivative of -t**7/3780 + t**5/540 + 2*t**3/3 - 3. Let j(m) be the third derivative of f(m). Factor j(i).
-2*i*(i - 1)*(i + 1)/9
Let t(l) be the second derivative of l**5/140 + 2*l**4/7 + 32*l**3/7 + 256*l**2/7 + 13*l. Solve t(v) = 0.
-8
Let j(y) be the third derivativ