h*a, a = 2*g + 2*a - 3. Let -f**5 - f**2 + 0*f + 5/2*f**4 - 1/2*f**g + 0 = 0. What is f?
-1/2, 0, 1, 2
Let u be (-42)/4*(-36)/105. Let u*i**2 - 2/5*i**3 - 54/5*i + 54/5 = 0. Calculate i.
3
Suppose -k - 5*o - 22 = 0, -3*k - 5*o - 36 - 20 = 0. Let m = k + 19. Determine g, given that 0*g - 1/2*g**2 + 0 + 3/4*g**5 - m*g**4 + 7/4*g**3 = 0.
0, 2/3, 1
Let c(b) = -b**3 + 9*b**2 + 9*b + 12. Let q be c(10). Solve 17*r**q - 4*r + 2*r - 18*r**2 = 0 for r.
-2, 0
Let i(z) be the second derivative of -z**7/98 - z**6/70 + 9*z**5/140 + z**4/28 - z**3/7 + z. Let i(t) = 0. What is t?
-2, -1, 0, 1
Let v be ((-10)/18)/(5 + (-70)/12). Factor 2/3 + v*a**2 - 4/3*a.
2*(a - 1)**2/3
Let b = 2 + -3/2. Let x(k) be the first derivative of 1 - b*k**2 + 0*k - 1/3*k**3. Suppose x(u) = 0. What is u?
-1, 0
Suppose 4*t + 2*m = 22, 5*t - 4*m - 30 = -6*m. Suppose -6*l = -2*l - t. Solve -2*r**3 - 2*r - 3*r**l + 4*r**3 + 4*r**2 - r**3 = 0 for r.
-2, 0, 1
Let u(s) be the first derivative of 10*s**3 + 8*s**2 + 8*s/5 + 1. Let u(w) = 0. Calculate w.
-2/5, -2/15
Let g = 44 - 44. Solve g + h**2 - 5/2*h**5 + 5/2*h**3 + 0*h - h**4 = 0 for h.
-1, -2/5, 0, 1
Let r(n) be the second derivative of n**9/4032 + n**8/2240 - n**7/1120 - n**6/480 + n**3/3 + n. Let x(s) be the second derivative of r(s). Factor x(w).
3*w**2*(w - 1)*(w + 1)**2/4
Let 1/2 + 1/4*j**4 - 3/4*j**2 - 1/4*j + 1/4*j**3 = 0. What is j?
-2, -1, 1
Let i(j) be the first derivative of 4/45*j**5 + 0*j - 1/27*j**6 + 3 - 4/27*j**3 + 1/9*j**2 + 0*j**4. Find v, given that i(v) = 0.
-1, 0, 1
Let i(o) be the second derivative of o**6/80 - 9*o**5/40 + 9*o**4/8 + 42*o - 1. Factor i(p).
3*p**2*(p - 6)**2/8
Let u be (-6)/(-10) + (-6)/(-15). Suppose u - 4 = -s. Factor -8/3*j**2 - 2/3*j - 2*j**s + 0.
-2*j*(j + 1)*(3*j + 1)/3
Let h be (-8)/(-180)*(-6)/(-8). Let o = h - -13/60. Let 1/4*y**5 + 0 - o*y - 1/2*y**4 + 1/2*y**2 + 0*y**3 = 0. What is y?
-1, 0, 1
Let d be 1/1 - (-8 + 24/6). Factor 0*x + 0*x**2 + 2/3*x**3 + 0 - 2/3*x**d + 0*x**4.
-2*x**3*(x - 1)*(x + 1)/3
Suppose -7*u = -2*u - 15. Let s(y) be the first derivative of -1/2*y**4 - 1/6*y**6 - 2 + 2/3*y**u - 3/5*y**5 + y + 3/2*y**2. Find a such that s(a) = 0.
-1, 1
Let w(x) = -4*x**3 + 2*x + 3. Let q be w(-1). Let y(a) be the third derivative of -2*a**2 + 1/20*a**q + 0 + 0*a**3 + 0*a - 1/4*a**4. Find p such that y(p) = 0.
0, 2
Let d = 6 + -2. Let 7 + d*s - 2*s + s - 9 - s**3 = 0. What is s?
-2, 1
Let p(f) be the third derivative of f**7/3780 - f**5/45 - f**4/24 - 4*f**2. Let j(v) be the second derivative of p(v). Find h, given that j(h) = 0.
-2, 2
Suppose -1/3*i**4 + 0*i**3 + 0 + 0*i**2 + 0*i = 0. Calculate i.
0
Let x(g) be the second derivative of -g**7/63 + g**5/30 - 3*g. Solve x(h) = 0 for h.
-1, 0, 1
Let p(q) be the second derivative of 3/20*q**5 + 0 + 1/2*q**2 - 1/2*q**3 - 5*q - 1/12*q**4. Factor p(r).
(r - 1)*(r + 1)*(3*r - 1)
Let s be (-24)/(-40) - (-15)/(-75). Factor 2/5*a**2 + 2/5*a**3 - s*a - 2/5.
2*(a - 1)*(a + 1)**2/5
Factor -l**3 + l - 40*l**2 + 0*l + 39*l**2 + l**4.
l*(l - 1)**2*(l + 1)
Let c(b) be the first derivative of b**8/224 - 11*b**7/280 + 7*b**6/60 - b**5/10 + 4*b**3/3 + 2. Let z(y) be the third derivative of c(y). Factor z(v).
3*v*(v - 2)**2*(5*v - 2)/2
Let y be 40/30 + 3 + (-8)/6. Let k be (-21)/(-15) + 2 + -3. Factor k*o + 18/5*o**y + 0 - 12/5*o**2 - 8/5*o**4.
-2*o*(o - 1)**2*(4*o - 1)/5
Let p = 19 - 113/6. Let m(i) be the second derivative of 0*i**2 + 2*i + p*i**4 + 0 + 1/3*i**3. Let m(w) = 0. Calculate w.
-1, 0
Determine l, given that -1/2*l + 1/4*l**2 + 1/4 = 0.
1
Let h(j) be the second derivative of -j**7/2520 + j**5/360 + j**3/6 - j. Let n(x) be the second derivative of h(x). Find l, given that n(l) = 0.
-1, 0, 1
Let d(z) be the second derivative of -1/18*z**3 + 0 + 1/12*z**2 + 1/72*z**4 - 3*z. Solve d(n) = 0.
1
Let h(i) be the second derivative of -3*i**5/20 + i**4/12 - 13*i. Suppose h(z) = 0. Calculate z.
0, 1/3
Factor 0 - 2/5*f**2 - 4/5*f + 2/5*f**3.
2*f*(f - 2)*(f + 1)/5
Let h(j) = j - 2. Let r be h(4). Let i(s) be the first derivative of 0*s + 0*s**5 + 2 + 1/7*s**4 + 0*s**3 - 1/21*s**6 - 1/7*s**r. Factor i(y).
-2*y*(y - 1)**2*(y + 1)**2/7
Suppose -3*c - 1 = -l + 2*l, -5*l + 14 = -4*c. Suppose -2*z = l*z. Factor z*v + v**3 + 0*v - v**2.
v**2*(v - 1)
Let z(q) be the second derivative of -q**7/77 + q**6/33 + q**5/55 + 34*q. Let z(y) = 0. Calculate y.
-1/3, 0, 2
Let t(u) = -u**3 - 2*u**2 - 4*u - 3. Let s be 55/(-5)*(-1 - 1). Let m(k) = 4*k**3 + 8*k**2 + 15*k + 11. Let d(i) = s*t(i) + 6*m(i). Factor d(r).
2*r*(r + 1)**2
Let x(h) = h**2 - 3*h + 1. Let y be x(3). Let g be (-2)/y + (-10)/(-3). What is b in -2/3*b**2 + 0 + g*b = 0?
0, 2
Let h(m) be the first derivative of -m**6/21 - 8*m**5/35 - 2*m**4/7 + 9. Let h(u) = 0. What is u?
-2, 0
Let 0 + 0*m + 3/5*m**3 - 3/5*m**2 = 0. What is m?
0, 1
Let b(z) be the first derivative of -z**4/48 + z - 3. Let t(x) be the first derivative of b(x). Suppose t(f) = 0. What is f?
0
Find t, given that 0*t**3 - 2*t**3 - t**3 + 2*t**2 + 2*t**3 = 0.
0, 2
Let w(m) be the second derivative of -49*m**5/190 - 14*m**4/57 - 4*m**3/57 - 3*m. Factor w(a).
-2*a*(7*a + 2)**2/19
Let l(u) be the third derivative of u**7/10080 + u**6/1440 + u**5/480 + u**4/12 - 2*u**2. Let d(f) be the second derivative of l(f). Solve d(a) = 0 for a.
-1
Let g(d) = 2*d**2 + 10*d + 8. Let j(y) = 2*y**2 + 11*y + 8. Let p(f) = -6*g(f) + 4*j(f). Suppose p(i) = 0. What is i?
-2
Let w(o) be the first derivative of -o**6/6 + o**2/2 + o - 5. Let l(x) = 2*x**4 - 2*x**2 - 1. Let q(h) = -3*l(h) - 3*w(h). Factor q(c).
3*c*(c - 1)**3*(c + 1)
Factor -1/5*o**4 + 1/5*o + 1/5*o**2 + 0 - 1/5*o**3.
-o*(o - 1)*(o + 1)**2/5
Suppose 0 = 3*n - n. Factor -3*g - 3*g + 3*g + n*g + 3*g**2.
3*g*(g - 1)
Let i(c) be the second derivative of -c**6/3 - 3*c**5/4 + 5*c**3/6 - 8*c. Determine d, given that i(d) = 0.
-1, 0, 1/2
Let h(t) be the first derivative of 3/11*t**2 - 1/11*t**4 - 2/11*t + 6/55*t**5 - 4/33*t**3 + 5 - 1/33*t**6. Suppose h(m) = 0. Calculate m.
-1, 1
Let f(c) be the first derivative of -7*c**6/10 + 36*c**5/25 + 3*c**4/5 + 7. Factor f(s).
-3*s**3*(s - 2)*(7*s + 2)/5
Let u(p) = p**3 + 9*p**2 + 11*p + 27. Let d be u(-8). Factor 0 - 2/7*n - 6/7*n**d - 8/7*n**2.
-2*n*(n + 1)*(3*n + 1)/7
Let l(t) = t**2 - 7*t - 4. Let g be l(8). Find d such that 2*d**5 - 2*d**4 + 0*d**g + 0*d**4 = 0.
0, 1
Let l(s) = -s**4 + 12*s**3 + 12*s**2 - 12*s + 11. Let h(g) = g**3 + g**2 - g + 1. Let b(x) = 22*h(x) - 2*l(x). Factor b(c).
2*c*(c - 1)**2*(c + 1)
Suppose -24 = -4*y - 4*o + 6*o, -4*y - o = -18. Factor 0*p + 2/7*p**y + 6/7*p**3 + 2/7*p**2 + 0 + 6/7*p**4.
2*p**2*(p + 1)**3/7
Suppose b - 3 = -3*c + 3, 3*c - 18 = -5*b. Factor -3*i**4 - 4*i**b - 5*i**2 - i**2 - 5*i**3.
-3*i**2*(i + 1)*(i + 2)
Let n = -28 - -31. Let m(f) be the first derivative of -1/6*f**n + 0*f + 4 + 1/2*f**2. Factor m(u).
-u*(u - 2)/2
Suppose 4*g - 42 - 134 = 0. Suppose -44*o**2 + 8*o**2 + 20*o**2 - 12*o - g*o**2 - 93*o**3 - 45*o**4 = 0. Calculate o.
-1, -2/3, -2/5, 0
Let x(p) be the second derivative of -p**7/105 - p**6/75 + p**5/10 + p**4/30 - 8*p**3/15 + 4*p**2/5 - 18*p. Factor x(r).
-2*(r - 1)**3*(r + 2)**2/5
Let n(x) be the first derivative of x**7/126 - x**5/30 + x**3/18 - 4*x + 1. Let g(y) be the first derivative of n(y). Find u, given that g(u) = 0.
-1, 0, 1
Let m(n) = -n**2 - 5*n - 4. Let i be m(-4). Let w(q) be the first derivative of 0*q + 1/6*q**6 - 2 + i*q**3 + 0*q**5 + 1/2*q**2 - 1/2*q**4. Factor w(p).
p*(p - 1)**2*(p + 1)**2
Let q = -143/4 - -36. Find g, given that 0*g + q*g**4 - 1/4*g**3 + 1/4*g**5 + 0 - 1/4*g**2 = 0.
-1, 0, 1
Let z(l) be the first derivative of 2*l**6/3 - 4*l**5/5 - 3*l**4 + 4*l**3/3 + 4*l**2 + 45. Find x such that z(x) = 0.
-1, 0, 1, 2
Let b(g) be the first derivative of 13*g**5/20 + g**4/8 - 13*g**3/12 - g**2/4 + 6. Factor b(i).
i*(i - 1)*(i + 1)*(13*i + 2)/4
Let s(z) = -z**2 + 2*z + 2. Let w be s(0). Factor 3*o**5 - 5 + 4*o**w - 4*o**4 - o - 2*o**3 + 0 + 5.
o*(o - 1)**2*(o + 1)*(3*o - 1)
Suppose 5*v - 13 - 12 = 0. Let o(m) be the second derivative of 1/40*m**v + 0 + 2*m - 1/8*m**4 + m**2 + 0*m**3. Factor o(i).
(i - 2)**2*(i + 1)/2
Determine t, given that -6 - 53/2*t**2 + 2*t**3 + 61/2*t = 0.
1/4, 1, 12
Let t(f) be the third derivative of 32*f**7/105 + 4*f**6/5 + f**5/15 - f**4 + 2*f**3/3 + 2*f**2. Fact