8)/(-32) - 9/(-24). Find q such that -7/2*q - 1 - g*q**2 = 0.
-1, -2/5
Determine l so that -4*l - 12*l**4 + l**5 + 8*l**5 + 12*l**2 + 3*l**3 - 5*l**3 - 3*l**3 = 0.
-1, 0, 2/3, 1
Suppose 5*s - 12 + 2 = 5*d, -4*d + 20 = 3*s. Suppose -7*h**3 + d + 3*h**2 - 2 + 4*h**3 = 0. What is h?
0, 1
Let l(b) be the first derivative of -5/7*b**2 - 4 - 2/7*b**3 + 1/14*b**4 + 2/35*b**5 - 4/7*b. Factor l(s).
2*(s - 2)*(s + 1)**3/7
Let q be ((-4)/3)/((-2)/3). Let a(z) = q*z**3 + z + 0*z**3 - 3*z**3 - 4*z**2 + 0*z**3. Let g(s) = -s**2. Let c(x) = -3*a(x) + 12*g(x). Factor c(r).
3*r*(r - 1)*(r + 1)
Factor -4/5*k - 18/5*k**2 + 0.
-2*k*(9*k + 2)/5
Let t(l) = l + 1. Let q be t(4). Solve 2/7*b**2 + 0*b + 2/7*b**q + 6/7*b**3 + 6/7*b**4 + 0 = 0.
-1, 0
Let m(c) be the first derivative of c**6/3 - c**4 + c**2 - 10. Factor m(b).
2*b*(b - 1)**2*(b + 1)**2
Determine s so that 4/5*s**2 + 2/5*s**5 + 2/5*s**4 - 12/5*s**3 + 2*s - 6/5 = 0.
-3, -1, 1
Let v(o) be the first derivative of o**6/300 + 3*o**2 - 2. Let z(x) be the second derivative of v(x). Factor z(g).
2*g**3/5
Let q(i) be the third derivative of -1/30*i**5 + 0 + 1/672*i**8 + 0*i + 7*i**2 + 1/40*i**6 - 1/105*i**7 + 1/48*i**4 + 0*i**3. Factor q(z).
z*(z - 1)**4/2
Let g(c) be the first derivative of 0*c**2 - 1/48*c**4 + 1/80*c**5 + 4 - 4*c + 0*c**3. Let q(z) be the first derivative of g(z). Suppose q(s) = 0. Calculate s.
0, 1
Let g(a) be the third derivative of a**7/630 - a**5/180 - 13*a**2. What is z in g(z) = 0?
-1, 0, 1
Let y(x) be the third derivative of x**6/90 + 4*x**5/45 + 2*x**4/9 - 2*x**2. Determine m, given that y(m) = 0.
-2, 0
Suppose -3*g + 2*t = -0*g + 8, 2*t - 8 = -2*g. Let y = 49/2 + -24. Factor 1/2*i**2 - y + g*i.
(i - 1)*(i + 1)/2
Suppose -7*f - 10 = -24. Let v(t) be the first derivative of 6*t**2 + 2/3*t**3 - f + 18*t. Let v(d) = 0. Calculate d.
-3
Let v(u) = -2*u + 23. Let t be v(9). Factor 0*x**2 + 0*x**4 + 4/7*x**3 - 2/7*x + 0 - 2/7*x**t.
-2*x*(x - 1)**2*(x + 1)**2/7
Let h(q) = 14*q**2 - 2*q + 6. Suppose 0*g - 2*f - 6 = -4*g, 0 = -g + 2*f + 9. Let j(i) = i**2 + 1. Let k(n) = g*h(n) + 6*j(n). Factor k(s).
-2*s*(4*s - 1)
Let l(v) = -v**3 + 13*v**2 + 32*v - 30. Let h be l(15). Suppose -2/3*p**3 + h*p + 0 + 2/3*p**2 = 0. Calculate p.
0, 1
Suppose 2*t = 14 - 10. Let n(g) be the first derivative of -1/5*g**t + 0*g + 1/10*g**4 + 1 + 0*g**3. Factor n(p).
2*p*(p - 1)*(p + 1)/5
Let r be ((-12)/270)/((-8)/6). Let m(o) be the second derivative of 2/5*o**2 - 5*o + 1/5*o**3 + 0 + r*o**4. What is x in m(x) = 0?
-2, -1
Let g(w) = w + 8. Let h be g(-7). Determine o so that o**5 + o**2 + 0*o**5 + 0*o**4 + o + o**2 - h - o**4 - 2*o**3 = 0.
-1, 1
Let b(a) be the second derivative of a**8/2520 - a**6/540 + 2*a**3/3 - 2*a. Let w(q) be the second derivative of b(q). Find p, given that w(p) = 0.
-1, 0, 1
Let v(w) = -w**2 - 7*w + 3. Let k(n) = 5*n + 3. Let r be k(-2). Let t be v(r). Factor 2*i**3 - 2*i**t - i**3 + i**5.
i**3*(i - 1)*(i + 1)
Let l(u) be the third derivative of 1/33*u**3 - 1/33*u**4 + 0*u + 1/1155*u**7 - 1/165*u**6 + 1/55*u**5 + 6*u**2 + 0. Suppose l(g) = 0. What is g?
1
Let j(m) be the second derivative of 0 - 3/20*m**5 + 0*m**2 + 5*m + m**3 + 3/10*m**6 - 1/14*m**7 - 3/4*m**4. Determine u, given that j(u) = 0.
-1, 0, 1, 2
Factor -24/5*m - 3/5*m**4 - 3/5*m**5 + 3/5*m**2 + 3*m**3 + 12/5.
-3*(m - 1)**3*(m + 2)**2/5
Suppose -2*v = -l - 2*l + 6, 0 = 5*l + v - 10. Find w, given that -28/3*w - 53/3*w**l - 20/3*w**3 - 4/3 = 0.
-2, -2/5, -1/4
Factor -41*m + 3*m**2 - 4*m**2 + 40*m.
-m*(m + 1)
Let j be (69/(-9) + 7)*2/(-2). Solve 7/3*t**3 + 0*t + 0 + j*t**2 = 0.
-2/7, 0
Let n(z) be the second derivative of z - 2/27*z**3 - 1/54*z**4 + 0 + 1/3*z**2. What is o in n(o) = 0?
-3, 1
Factor -3 + 15/4*d**2 + 9/4*d**3 - 3*d.
3*(d - 1)*(d + 2)*(3*d + 2)/4
Let k(y) be the third derivative of y**8/840 - y**6/90 + y**4/12 - y**3/3 - 3*y**2. Let m(a) be the first derivative of k(a). What is n in m(n) = 0?
-1, 1
Let a(h) = -h**3 - 7*h**2 - 4*h + 8. Let v be a(-6). Let o be (-3 - v*1)*2. Find b, given that 4/7*b + o*b**3 + 0 - 18/7*b**2 = 0.
0, 2/7, 1
Let a(s) be the first derivative of 2/21*s**3 - 4/7*s - 1/7*s**2 + 1. Factor a(n).
2*(n - 2)*(n + 1)/7
Let m be 3021/(-583) + 18/2. Determine r so that 4*r**2 + 2/11*r - 4/11 - m*r**3 = 0.
-2/7, 1/3, 1
Let h(k) be the third derivative of k**6/900 - k**5/150 + k**4/60 - k**3/2 + 3*k**2. Let q(g) be the first derivative of h(g). Suppose q(z) = 0. Calculate z.
1
Let v(q) = 4*q**3 + 4*q**2 + 2*q - 1. Let k(y) = y**3 + y**2 + y. Let f(t) = -3*k(t) + v(t). Factor f(b).
(b - 1)*(b + 1)**2
Let q(t) be the third derivative of t**7/4620 - t**5/220 + t**4/66 + 7*t**3/6 + 7*t**2. Let x(g) be the first derivative of q(g). Factor x(n).
2*(n - 1)**2*(n + 2)/11
Let l(z) be the third derivative of -z**5/180 - z**4/18 - 2*z**3/9 - 3*z**2. Factor l(f).
-(f + 2)**2/3
Find m, given that 36 - 5*m**3 - 66 - 24*m**2 - 16*m**2 - 65*m = 0.
-6, -1
Let q(x) be the second derivative of -x**4/15 + 12*x**3/5 - 162*x**2/5 + 9*x. Let q(h) = 0. What is h?
9
Factor -5 + 5 + 4*a - 4*a**2.
-4*a*(a - 1)
Let j(k) = -k**2 + 3*k + 3. Let z be j(-5). Let f be z/(-7) + 2/(-7). Factor r**f + r + 0*r**2 + 0*r**2 - 2*r**3.
r*(r - 1)**2*(r + 1)**2
Let u(a) be the first derivative of 8 + 1/25*a**5 + 1/10*a**4 - 1/5*a**2 + 0*a - 1/15*a**3. Factor u(x).
x*(x - 1)*(x + 1)*(x + 2)/5
Suppose -5*y + 2*j + 4 = -0*y, 3*y - 3*j + 3 = 0. Determine v so that 19/3*v**3 - 5/3*v + 11/3*v**4 - 13/3*v**y - 14/3*v**5 + 2/3 = 0.
-1, -1/2, 2/7, 1
Let u be (-12)/(-135)*20 + 2/9. Factor 1/4*s**3 - 1/2 - s**u + 5/4*s.
(s - 2)*(s - 1)**2/4
Let j(r) be the second derivative of -r**5/80 - r**4/16 - r**3/12 - 5*r. What is o in j(o) = 0?
-2, -1, 0
Let s(b) be the third derivative of b**5/150 - b**4/15 + b**3/5 - 11*b**2. Factor s(h).
2*(h - 3)*(h - 1)/5
Suppose -u - 2*u = 12. Let h be 3 + -4*1 - u. Factor 2/7*q**4 - 4/7*q**h + 0*q**2 - 2/7 + 4/7*q.
2*(q - 1)**3*(q + 1)/7
Suppose 8 = 3*r - 2*t, 2*t + t = -4*r - 12. Suppose 4*g = -r*g + 12. Determine h so that 0*h + 0*h**2 + 0 - 2/7*h**5 - 2/7*h**g + 4/7*h**4 = 0.
0, 1
Let u(o) = -o**2 - 11*o - 10. Let q be u(-10). Find m such that q - 1/2*m**2 - 1/2*m**3 + 0*m = 0.
-1, 0
Let g(p) be the first derivative of -2*p**6/27 - 2*p**5/9 + 10*p**3/27 + 2*p**2/9 + 2. Solve g(v) = 0 for v.
-2, -1, -1/2, 0, 1
Let w(o) be the third derivative of o**8/2856 + 4*o**7/1785 + o**6/510 - 2*o**5/255 - o**4/68 - 26*o**2. Let w(s) = 0. What is s?
-3, -1, 0, 1
Let g(b) be the first derivative of 3*b**5/5 - 27*b**4/10 + 24*b**3/5 - 21*b**2/5 + 9*b/5 - 12. Factor g(u).
3*(u - 1)**3*(5*u - 3)/5
Let v(m) = 4*m**2 + 2*m + 5. Let b be v(-5). Let a be b/(-45)*1 + 3. Find x such that -2/9*x**2 - 8/9 + a*x = 0.
2
Let w(p) be the second derivative of p**4/6 + p**3 + 2*p**2 - 10*p. Factor w(u).
2*(u + 1)*(u + 2)
Suppose 61*d - 9*d**3 - 49*d + 0*d**4 + 3*d**4 = 0. Calculate d.
-1, 0, 2
Let p(j) = j**2 - 4*j - 1. Let x be p(9). Let s be x/15 - (-4)/10. Factor 0 + s*f**2 - 4/3*f.
2*f*(5*f - 2)/3
Let m(v) be the second derivative of -v**4/126 - 8*v**3/63 + 3*v**2/7 + 23*v. Find w such that m(w) = 0.
-9, 1
Let h(t) be the first derivative of -t**4/42 - t**3/21 + 2*t**2/7 + 2*t - 1. Let w(f) be the first derivative of h(f). Factor w(o).
-2*(o - 1)*(o + 2)/7
Determine k, given that -1/4*k**5 + 3/4*k**2 + 0 + 5/4*k**4 - 7/4*k**3 + 0*k = 0.
0, 1, 3
Suppose 5*s + 5*l + 1 = 4*l, 0 = -4*s + 5*l + 5. Let j be ((1 - s) + -3)/(-1). Solve -j*b - b**3 + 2*b + b = 0.
-1, 0, 1
Let -10*u + 8*u**2 + 5*u**3 - 2*u + 7*u**2 - 8*u**3 = 0. What is u?
0, 1, 4
Let a be (12/90)/((-8)/12 + 1). Let x(n) be the first derivative of -1/10*n**4 - 2/15*n**3 + 1 + 1/5*n**2 + a*n. Determine d so that x(d) = 0.
-1, 1
Let h(n) be the third derivative of 1/60*n**6 - 1/336*n**8 + 0 - 1/210*n**7 + 0*n + 1/30*n**5 - 1/24*n**4 - 1/6*n**3 + n**2. Suppose h(j) = 0. What is j?
-1, 1
Let y(r) be the first derivative of 25*r**6/39 - 22*r**5/13 + 19*r**4/26 + 46*r**3/39 - 8*r**2/13 - 8*r/13 - 1. Determine i, given that y(i) = 0.
-2/5, 1
Let u(x) be the second derivative of -x**7/42 + x**6/10 - 3*x**5/20 + x**4/12 - 29*x. Suppose u(m) = 0. Calculate m.
0, 1
Let v(c) be the second derivative of -c**7/700 - c**6/300 - c**5/300 + c**4/4 + 3*c. Let d(x) be the third derivative of v(x). Determine h so