. Determine s so that 2/5*s**x - 4/5 - 2/5*s = 0.
-1, 2
Suppose 1/4*y**2 + 9/4 - 3/2*y = 0. What is y?
3
Let c(g) be the third derivative of -g**7/1050 + g**5/75 + 13*g**2. Suppose c(l) = 0. Calculate l.
-2, 0, 2
Let l(q) be the third derivative of q**7/10080 - q**6/1440 + q**4/12 + 2*q**2. Let f(s) be the second derivative of l(s). Factor f(d).
d*(d - 2)/4
Let w = 12/5 + -88/45. Let a(r) be the first derivative of -w*r**3 + 0*r**2 + 4 + 2/15*r**5 + 0*r**4 + 2/3*r. Factor a(t).
2*(t - 1)**2*(t + 1)**2/3
Let a be 1/1 - 8/12. Let y(s) be the second derivative of 1/15*s**6 + 2*s - 3/10*s**5 - a*s**3 + 0 + 1/2*s**4 + 0*s**2. Find q such that y(q) = 0.
0, 1
Let i(j) be the first derivative of -1/18*j**4 - 1/9*j**3 + 0*j**2 - 3 + 2*j. Let u(y) be the first derivative of i(y). Factor u(r).
-2*r*(r + 1)/3
Let i be 0 - (1/1 + -1). Suppose t + i*t = 0. Find c, given that t*c**2 + 0 - 2/5*c**3 + 0*c = 0.
0
Let s(f) be the second derivative of 15*f**7/14 - 25*f**6/2 + 41*f**5/2 + 255*f**4/2 + 275*f**3/2 + 125*f**2/2 + f. Suppose s(m) = 0. What is m?
-1, -1/3, 5
Solve 0 + 2/7*g**2 - 4/7*g = 0.
0, 2
Find s such that -3*s**3 - 927*s**5 - 6*s**4 + 2*s**2 + 4*s**2 + 930*s**5 = 0.
-1, 0, 1, 2
Suppose 65 = 5*u + 15. Let s(f) = f**2 - 10*f + 3. Let g be s(u). Suppose 4/5*z**g - 2/5*z - 4/5*z**2 + 2/5*z**4 - 2/5*z**5 + 2/5 = 0. Calculate z.
-1, 1
Let y(c) be the first derivative of c**4/24 - c**3/9 - 34. Factor y(j).
j**2*(j - 2)/6
Let a(x) = -x + 4. Let m be a(-4). Suppose -3*i = i - m. Determine y, given that 3*y - 5*y**4 - y + 3*y**4 - 2*y**3 + i*y**2 = 0.
-1, 0, 1
Suppose -2*h = -4*j + 2, -7*h + j = -3*h - 10. Factor -2*z**2 + 3*z**3 - 1 + h - 13*z + 12*z - 2*z**3.
(z - 2)*(z - 1)*(z + 1)
Let g(p) = p**2. Let l be g(1). Let i(b) = 9*b**3 - 12*b**2 - 15*b - 6. Let j(v) = v**3. Let o(k) = l*i(k) - 12*j(k). Factor o(w).
-3*(w + 1)**2*(w + 2)
Let h(i) be the second derivative of i**9/3024 - i**8/1680 - i**7/840 + i**6/360 + i**3/2 - 2*i. Let m(z) be the second derivative of h(z). Factor m(g).
g**2*(g - 1)**2*(g + 1)
Let s(g) be the first derivative of -3*g**4/4 - 2*g**3 - 3*g**2/2 + 4. Solve s(j) = 0 for j.
-1, 0
Suppose 5*a - 4 = 6. Suppose 4*j = -16, -2*n + n = -4*j - 18. Find w such that w**2 - a*w + w**n + 0*w = 0.
0, 1
Let y(t) be the first derivative of 5*t**4/4 + 25*t**3 + 120*t**2 - 320*t + 10. Find g, given that y(g) = 0.
-8, 1
Let z(g) = -4*g**5 + 2*g**4 + 4*g**3 + 2*g**2. Let m = 15 + -26. Let q(f) = 21*f**5 - 11*f**4 - 21*f**3 - 11*f**2. Let b(r) = m*z(r) - 2*q(r). Solve b(j) = 0.
-1, 0, 1
Factor -1/2*b + 1/6*b**5 + 1/3*b**3 + 1/6 + 1/3*b**2 - 1/2*b**4.
(b - 1)**4*(b + 1)/6
What is n in -12/7*n**3 - 2/7*n**2 - 32/7 + 48/7*n - 2/7*n**4 = 0?
-4, 1
Let k(x) be the first derivative of -25*x**6/4 - 63*x**5/2 - 261*x**4/4 - 71*x**3 - 171*x**2/4 - 27*x/2 + 6. Find f such that k(f) = 0.
-1, -3/5
Let w(h) be the second derivative of h**4/54 - h**3/27 + 4*h. Solve w(i) = 0 for i.
0, 1
Let m(b) be the third derivative of b**5/12 - 5*b**4/8 - 10*b**3/3 - 37*b**2. Factor m(a).
5*(a - 4)*(a + 1)
Let n be ((-2)/(-32))/(5*11/220). Suppose -1/4*d**4 + 1/4*d**3 + 0 + 1/4*d**2 - n*d**5 + 0*d = 0. Calculate d.
-1, 0, 1
Suppose -a - 1 = -0*a. Let t = a - -1. Determine s so that t*s - 2*s**2 - s + 3*s + 3*s**2 = 0.
-2, 0
Let c(s) = 3*s + 19. Let h be c(-6). Let r(w) be the first derivative of -2/3*w - 1/6*w**2 - h + 1/3*w**3. Factor r(l).
(l - 1)*(3*l + 2)/3
Let z(t) be the second derivative of 0*t**2 + 0*t**3 - 1/210*t**6 + 4*t + 0*t**4 + 0 - 1/140*t**5. Solve z(a) = 0 for a.
-1, 0
Let n(q) be the third derivative of 0 + 8*q**2 + 2/45*q**6 + 0*q - 8/9*q**3 + 1/45*q**5 - 8/9*q**4. Factor n(z).
4*(z - 2)*(z + 2)*(4*z + 1)/3
Let v(k) = 9*k**4 - 4*k**3 + k**2 + 9*k. Let t(x) = 4*x**4 - 2*x**3 + 4*x. Let m = -3 - 2. Let i(c) = m*t(c) + 2*v(c). Let i(r) = 0. What is r?
-1, 0, 1
Let n = -18 + 63. Suppose -46*i + n*i = 0. Factor -1/2*s**2 - s + 1/2*s**4 + s**3 + i.
s*(s - 1)*(s + 1)*(s + 2)/2
Let m(s) be the first derivative of -4*s**5/5 + 3*s**4/4 + 3*s**3 + s**2 - 12. Determine p so that m(p) = 0.
-1, -1/4, 0, 2
Let c(b) = -4*b**4 + 17*b**3 - 13*b**2 + 5*b - 5. Let n(v) = -2*v**4 + 8*v**3 - 6*v**2 + 2*v - 2. Let j(f) = -2*c(f) + 5*n(f). Determine u, given that j(u) = 0.
0, 1, 2
Let y(g) be the second derivative of 9*g + 0*g**2 + 0 + 3/40*g**5 + 1/6*g**3 + 5/24*g**4. Suppose y(i) = 0. Calculate i.
-1, -2/3, 0
Let p(r) be the second derivative of 0*r**3 - 1/7*r**2 + 0 + 3*r + 1/42*r**4. Factor p(b).
2*(b - 1)*(b + 1)/7
Let h(a) be the first derivative of 0*a**3 - 1 - a + 1/42*a**4 - 1/70*a**5 + 0*a**2. Let y(q) be the first derivative of h(q). Determine z, given that y(z) = 0.
0, 1
Let i(r) be the third derivative of -r**7/420 - r**6/180 - r**3/6 - r**2. Let m(o) be the first derivative of i(o). Factor m(v).
-2*v**2*(v + 1)
Let y(z) be the first derivative of 2*z**5/5 - z**4/2 - 8*z**3/3 + 4*z**2 - 16. Factor y(c).
2*c*(c - 2)*(c - 1)*(c + 2)
Let g(h) be the first derivative of -1/30*h**6 - 1/5*h - 1/10*h**4 + 3 - 2/15*h**3 + 3/10*h**2 + 3/25*h**5. Factor g(j).
-(j - 1)**4*(j + 1)/5
Let f = 13 + -6. Suppose -2 = -3*n + f. Determine j, given that -1 - n + 2*j + 4*j**2 - 5*j**3 + 3*j**3 = 0.
-1, 1, 2
Let b be 7/7 + (2 - -2). Suppose 9 = 5*z + 3*w, -b*w - 28 = -5*z - 3. Factor 2/3*l - 2/9*l**z + 0*l**2 - 4/9.
-2*(l - 1)**2*(l + 2)/9
Let -19*u**2 + 95*u**4 - 45*u**2 - 25*u**5 - 35*u**4 + 55*u**3 + 34*u**2 = 0. Calculate u.
-1, 0, 2/5, 3
Let g(l) be the second derivative of 2/15*l**3 + 0 - 10*l + 0*l**2 - 1/10*l**4 - 1/10*l**5. Factor g(k).
-2*k*(k + 1)*(5*k - 2)/5
Let 0 - 8/5*b**3 - 4/5*b - 2/5*b**4 - 2*b**2 = 0. What is b?
-2, -1, 0
Let u(v) = -v + 17. Let t be u(7). Suppose 2 - t = -4*s. Factor -9*g**2 + 9*g**s - 4*g**4 - 6*g**5.
-2*g**4*(3*g + 2)
Let m(d) be the second derivative of 1/6*d**3 + 1/14*d**2 + 0 + 13/210*d**6 + 3/14*d**4 - 7*d + 1/98*d**7 + 11/70*d**5. Factor m(h).
(h + 1)**4*(3*h + 1)/7
Let a(f) be the second derivative of 0*f**2 + 0 - f - 1/8*f**4 + 1/20*f**6 + 1/20*f**5 - 1/6*f**3. Factor a(o).
o*(o - 1)*(o + 1)*(3*o + 2)/2
Let s(x) = -2*x + 20. Let p be s(9). Let n(i) be the first derivative of 1 + 0*i - 2/21*i**3 - 2/35*i**5 + 0*i**p + 1/7*i**4. Factor n(y).
-2*y**2*(y - 1)**2/7
Let x be (10/(-4) - -2)*0. Let g be 7/2 + (-1)/2. Suppose -2*p**2 + x + 3 + p - g = 0. Calculate p.
0, 1/2
Let n = 11 - 7. Let o = -4 - -8. Suppose 2 - 4*f**2 + 2*f**2 - n + o*f = 0. Calculate f.
1
Let f = 9 + -8. Suppose -o = n - 6*n - 5, -2*o - n - f = 0. Determine a so that 0*a**2 + o*a**4 + 0 + 0*a - 1/2*a**3 + 1/2*a**5 = 0.
-1, 0, 1
Let l(p) = p**2 + 15*p + 8. Let r be l(-15). Suppose -3*c - 2 = -r. Factor 2/5 - 1/5*v**c - 1/5*v.
-(v - 1)*(v + 2)/5
Let l be (-549)/(-14) + -1 + 4/14. Factor -2 + 49/2*f**3 - l*f**2 + 16*f.
(f - 1)*(7*f - 2)**2/2
Let o = -7 + 10. Let p(j) be the second derivative of 0*j**2 - 1/24*j**o + 1/24*j**4 + 2*j - 1/80*j**5 + 0. Find x, given that p(x) = 0.
0, 1
Factor 0 - 1/5*j + 0*j**2 + 1/5*j**3.
j*(j - 1)*(j + 1)/5
Suppose 5*h - 9 = 6, -2*l + 2*h - 6 = 0. Factor q + 2*q**2 + 0*q**4 + 3*q**3 + q**2 + l*q**2 + q**4.
q*(q + 1)**3
Solve -4/3*c**5 - 4/3*c**4 + 16/3*c**2 + 0 + 0*c + 16/3*c**3 = 0.
-2, -1, 0, 2
Suppose 2*s + 1 = 5*a, s - 6*a + 2 = -2*a. What is x in x - 3*x + 5*x**s - 2*x**2 + 5*x = 0?
-1, 0
Let z(u) = 16*u**5 - 26*u**4 - 8*u**3 + 34*u**2 - 10*u - 2. Let c(q) = q**4 + q**2 - q + 1. Let g(s) = -2*c(s) + z(s). Determine f, given that g(f) = 0.
-1, -1/4, 1
Let z be (-3)/12*-4*3. Suppose -z*g + q + 19 = -q, 12 = 2*g - q. Suppose -1/5*f - 1/5*f**4 + 2/5*f**2 - 1/5*f**g + 2/5*f**3 - 1/5 = 0. Calculate f.
-1, 1
Let i be -3*(-2)/24 + 52/48. Solve -1/3*y**4 - 1/3 - 2*y**2 + 4/3*y**3 + i*y = 0 for y.
1
Let s = 1/10 + -19/210. Let c(b) be the third derivative of -s*b**5 + 1/84*b**4 + 0*b + 0*b**3 + 1/420*b**6 - 2*b**2 + 0. Factor c(h).
2*h*(h - 1)**2/7
What is n in 0 - 3/8*n**5 + 0*n**4 + 0*n + 9/8*n**3 + 3/4*n**2 = 0?
-1, 0, 2
Let i(z) be the second derivative of z**4/24 - 9*z**2/4 + 3*z + 2. Factor i(o).
(o - 3)*(o + 3)/2
Let -1/4*j**2 - 1/4*j + 1/4*j**3 + 1/4*j**4 + 0 = 0. Calculate j.
-1, 0, 1
Let m(t) be the third derivative of 2*t**2 - 1/660*t**6 - 1/33*t**3 + 0*t + 1/330*t**5 + 1/132*t**4 + 0. Factor m(x).
-2*(x - 1)**2*(x + 1)/11
Let o(m) be the sec