3/5*u**q.
-3*(u + 1)**2/5
Factor 3*a**2 + 4*a - 13 - 2 + 9*a**2 - 4*a**3 + 3.
-4*(a - 3)*(a - 1)*(a + 1)
What is j in -6/5 - 4/15*j**3 + 2/5*j - 2/3*j**4 + 28/15*j**2 - 2/15*j**5 = 0?
-3, -1, 1
Let w(i) be the first derivative of -i**6/21 - 8*i**5/35 - 3*i**4/7 - 8*i**3/21 - i**2/7 + 3. Factor w(t).
-2*t*(t + 1)**4/7
Suppose 2*i = 2*g + g - 4, 2*i - 10 = -4*g. Let q = g - 2. Find s, given that -7/2*s**3 - s + q - 9/2*s**2 = 0.
-1, -2/7, 0
Let n(g) be the third derivative of -5*g**8/24 - g**7/14 + 3*g**6/8 - g**5/6 + 28*g**2. Let n(i) = 0. Calculate i.
-1, 0, 2/7, 1/2
Let z(q) be the second derivative of -q**8/168 - q**7/35 - q**6/20 - q**5/30 + q**2/2 - 4*q. Let c(l) be the first derivative of z(l). Factor c(n).
-2*n**2*(n + 1)**3
Let j(v) be the first derivative of 0*v**2 - 1/3*v**3 + 0*v + 3. Factor j(m).
-m**2
Let f(h) = -h**3 + 7*h**2 - 5*h - 4. Let x be f(6). Factor x*n**3 - 4*n**2 + 4*n**2 - 2*n**2 + 0*n**2 - 4*n.
2*n*(n - 2)*(n + 1)
Let n(z) = z. Let c(m) = -m**2. Let g(t) = 3*c(t) - 3*n(t). Factor g(d).
-3*d*(d + 1)
Let o(k) = k**2 - 11*k + 14. Let d be o(10). Suppose 0 = -d*j - 0*j. Factor -1/2*s**3 + 0*s**2 + j + 1/2*s.
-s*(s - 1)*(s + 1)/2
Let r(l) = -14*l**3 + 9*l**2 + 16*l - 21. Let w(b) = -16*b**3 + 10*b**2 + 16*b - 22. Let m(x) = -6*r(x) + 5*w(x). Find i, given that m(i) = 0.
-2, 1, 2
Let f be -2 - 5/15*-8. Let q(h) be the first derivative of -1 - 2*h**2 + 2*h + f*h**3. Factor q(v).
2*(v - 1)**2
Suppose 0 = -k + 6. Let c be ((-5)/10)/(k/(-4)). Find r such that -1/3*r**5 + 0 + 2/3*r**2 + 0*r**3 + c*r - 2/3*r**4 = 0.
-1, 0, 1
Let x(m) be the first derivative of -4*m**6 - 76*m**5/5 - 10*m**4 + 20*m**3 + 32*m**2 + 16*m - 57. Suppose x(q) = 0. What is q?
-2, -1, -2/3, -1/2, 1
Let x(h) be the second derivative of -h**8/1680 - h**7/420 - h**6/360 + h**3/2 - 4*h. Let q(w) be the second derivative of x(w). Find n such that q(n) = 0.
-1, 0
Let c be (-9)/(-2) + (-6)/(-12). Factor 2*q**5 + 0*q**c + 2*q + 25*q**3 - 29*q**3.
2*q*(q - 1)**2*(q + 1)**2
Find j, given that 8/5*j + 1/5*j**3 + j**2 + 4/5 = 0.
-2, -1
Let r(f) = 9*f**3 + 22*f**2 - 19*f - 12. Let u(z) = 9*z**3 + 21*z**2 - 18*z - 12. Let g(q) = -6*r(q) + 7*u(q). Find l, given that g(l) = 0.
-2, -2/3, 1
Let t(m) = m. Let g be t(8). Let a be 3 - ((-2)/(-2) + 0). Factor -g*r**4 + 3*r**3 + 19*r**3 - 18*r**2 + r + a + r.
-2*(r - 1)**3*(4*r + 1)
Suppose 5*y - 1 = 4. Let g be y*(-15)/21 - -1. What is a in 0 - 4/7*a**3 + 0*a + 2/7*a**4 + g*a**2 = 0?
0, 1
Let m(s) be the third derivative of -1/420*s**7 + 0 - 1/15*s**6 + 0*s - 1/30*s**5 - s**2 + 0*s**3 + 1/32*s**8 + 0*s**4. Solve m(i) = 0.
-2/3, -2/7, 0, 1
Let y(u) be the first derivative of 0*u**3 - 3 + 1/72*u**4 + u - 1/12*u**2. Let j(c) be the first derivative of y(c). Solve j(g) = 0 for g.
-1, 1
Let r be (2/(-36))/((-2)/16). Let d be (-176)/(-90) - ((-6)/(-15) + 0). Factor -r - 2/3*m**2 + d*m.
-2*(m - 2)*(3*m - 1)/9
Let b(r) be the third derivative of r**6/120 - r**5/15 + 5*r**4/24 - r**3/3 + r**2 - 23. Solve b(g) = 0.
1, 2
Let g(f) = f - 2. Let c be g(4). Let b be c/(-5) + (-88)/(-45). Let -4/9 + 56/9*v**4 - b*v**3 + 40/9*v**5 - 52/9*v**2 - 26/9*v = 0. Calculate v.
-1, -1/2, -2/5, 1
Let t(p) = p**2 + 10*p + 2. Let d be t(-10). Suppose 3 = -l + d*v, -3*l + 18 = -3*v + 6*v. Factor -3*o**2 - l*o**2 + o**2 + 2*o**2 + 3.
-3*(o - 1)*(o + 1)
Let n(o) be the first derivative of -4/7*o**2 - 1/7*o**4 + 2/7*o - 4 + 10/21*o**3. Factor n(k).
-2*(k - 1)**2*(2*k - 1)/7
Factor -2/3*k**5 - 98/3*k**2 - 70/3*k**3 + 0 + 26/3*k**4 + 0*k.
-2*k**2*(k - 7)**2*(k + 1)/3
Let d(t) = t + 8. Let i be d(-4). Let w(x) be the second derivative of 2*x + 0*x**5 + 0*x**3 - x**2 - 1/15*x**6 + 1/3*x**i + 0. Let w(q) = 0. Calculate q.
-1, 1
Let k(t) = t**5 - t**4 - t**3 + 1. Let v(r) = 3*r**5 - 11*r**4 + 11*r**3 + r**2 - 2*r - 2. Let o(s) = -6*k(s) - 3*v(s). Factor o(d).
-3*d*(d - 1)**3*(5*d + 2)
Let m be 9 + (-174)/10 + 9. Solve m - 1/5*s**2 + 2/5*s = 0 for s.
-1, 3
Let c(h) be the second derivative of 0*h**2 + 5*h + 0 - 1/6*h**4 - 1/3*h**3 - 1/40*h**5. Solve c(z) = 0 for z.
-2, 0
Let r(h) be the first derivative of h**7/735 + h**6/420 - h**5/105 + h**2/2 - 3. Let c(s) be the second derivative of r(s). Factor c(m).
2*m**2*(m - 1)*(m + 2)/7
Let c(j) = j - 4. Let n be c(6). Let z(h) = 2*h - 18. Let u be z(9). Factor 3/5*y**4 + 1/5*y + 7/5*y**3 + u + y**n.
y*(y + 1)**2*(3*y + 1)/5
Suppose -85 = -5*s - 5*m, -5*s + m = -3*m - 40. Let d = s - 10. Solve -3/5*y**d + 4/5*y + 4/5 = 0 for y.
-2/3, 2
Let f(i) be the third derivative of 2*i**2 + 0*i**3 + 0 + 0*i - 1/24*i**4 + 1/120*i**5. Factor f(q).
q*(q - 2)/2
Let r = -1/49186 - 28331131/245930. Let y = r + 116. Let 0 - 2/5*o**3 - 2/5*o + y*o**2 = 0. Calculate o.
0, 1
Let o = -13 - -20. What is f in -f**3 - 5*f**5 - o*f**4 + 4*f**3 - 5*f**3 = 0?
-1, -2/5, 0
Let n = 1/4 - 0. Determine b so that -1/2 - 3/2*b**4 + n*b**5 + 7/2*b**3 - 4*b**2 + 9/4*b = 0.
1, 2
Let m be (-432)/(-420) - (2/5)/(-1). What is l in 4/7 - m*l**4 - 2*l**3 + 2*l + 6/7*l**2 = 0?
-1, -2/5, 1
Let l be (-8)/(-20) - 158/420. Let c(p) be the second derivative of 1/7*p**2 - p - l*p**4 + 0 + 0*p**3. Factor c(k).
-2*(k - 1)*(k + 1)/7
Let y(v) be the second derivative of 2*v**2 - 2*v + 7/12*v**4 - 8/3*v**3 + 0. Determine x, given that y(x) = 0.
2/7, 2
Let g(k) be the second derivative of -k**4/30 + 2*k**3/15 - k**2/5 - 9*k. Factor g(o).
-2*(o - 1)**2/5
Factor 14*t**2 - 19*t**2 - 4*t + 2*t**3 + 7*t**2.
2*t*(t - 1)*(t + 2)
Let q = -7 - -12. What is h in q*h - 1 + h**2 - 5*h = 0?
-1, 1
Let h(p) be the third derivative of -3/70*p**5 + 0 + 1/784*p**8 + 1/24*p**4 + 2*p**2 + 11/420*p**6 - 1/42*p**3 + 0*p - 13/1470*p**7. Solve h(j) = 0.
1/3, 1
Factor 4/15*j**2 + 0*j + 2/15*j**4 - 2/5*j**3 + 0.
2*j**2*(j - 2)*(j - 1)/15
Suppose -3*a - 9 = -3*z, -3*a + 9*z = 4*z + 5. Let b be ((-51)/85)/(2/a). Suppose -1 + 1/2*r**2 + 1/2*r**4 - b*r**3 + 3/2*r = 0. What is r?
-1, 1, 2
Let t be 1/(-5)*(-125)/(-10)*-1. Solve 1/2 + 3*j**2 - t*j + j**3 + 3/2*j**5 - 7/2*j**4 = 0 for j.
-1, 1/3, 1
Let i(j) be the second derivative of -2*j + 0*j**5 + 1/42*j**7 + 1/15*j**6 - 1/6*j**3 + 0 - 1/6*j**4 + 0*j**2. Suppose i(g) = 0. What is g?
-1, 0, 1
Let a(o) be the third derivative of -o**8/43680 - o**7/16380 - o**4/12 + 5*o**2. Let x(z) be the second derivative of a(z). Suppose x(j) = 0. What is j?
-1, 0
Let g(q) be the third derivative of q**7/1890 - q**6/216 + q**5/180 + q**4/24 - 8*q**2 + 4*q. Solve g(z) = 0.
-1, 0, 3
Suppose 11 = 4*z + 3. Solve -7*x**3 + x**3 + 2*x**2 + 2*x - 4*x**2 + 6*x**z = 0 for x.
-1/3, 0, 1
Let h(d) = 19*d**2 + 23*d + 1. Let j(f) = 94*f**2 + 114*f + 6. Let w(a) = -14*h(a) + 3*j(a). Factor w(t).
4*(t + 1)*(4*t + 1)
Let l be (20/12)/(5/6). What is x in -4*x**2 + 1 + 0*x**2 + 2 + x**l = 0?
-1, 1
Let g(z) be the first derivative of -z**4/24 + z**3/18 + z**2/6 - 1. Let g(s) = 0. Calculate s.
-1, 0, 2
Suppose l + 17 = -4*j, -l + 3*l + 14 = -4*j. Let c(k) be the third derivative of 0*k**4 + 0 + 2*k**2 + 0*k + 0*k**l + 1/120*k**6 - 1/60*k**5. Factor c(a).
a**2*(a - 1)
Let b(i) be the third derivative of i**10/75600 + i**9/15120 + i**8/10080 - i**5/30 + i**2. Let g(n) be the third derivative of b(n). What is t in g(t) = 0?
-1, 0
Let g(h) be the third derivative of 1/120*h**5 + 0*h + 0 + 1/12*h**4 - 3*h**2 + 1/3*h**3. Let g(j) = 0. What is j?
-2
Let b be (-118)/(-28) - ((-99)/(-21) + -5). Factor -3/2*t**4 + 0 - 21/2*t**2 + b*t + 15/2*t**3.
-3*t*(t - 3)*(t - 1)**2/2
Let a(k) = -k**3 - k**2 - k + 2. Let g be a(0). Suppose g*h + 3*h = 0. Factor h + 0*d + 1/4*d**2.
d**2/4
Suppose 4*h = -v + 11 - 1, 5*v = 5*h. Let g = 8 - 4. Factor 2*t**3 + t**g - 7*t**3 + 3*t**3 + t**h.
t**2*(t - 1)**2
Let x be 2 - (-3 - -3)/2. Factor -6*a + 0*a + 2*a - 2 - 2*a**x.
-2*(a + 1)**2
Let s = -8/5 + 21/10. Factor 0 + 2*y + s*y**4 + 4*y**2 + 5/2*y**3.
y*(y + 1)*(y + 2)**2/2
Let y(n) = n**3 + 69*n**2 + 244*n + 184. Let q(w) = -15*w**3 - 965*w**2 - 3415*w - 2575. Let p(t) = 4*q(t) + 55*y(t). Factor p(z).
-5*(z + 1)*(z + 6)**2
Let r(o) be the first derivative of -o**6/12 - o**5/2 - 9*o**4/8 - 7*o**3/6 - o**2/2 - 35. Factor r(s).
-s*(s + 1)**3*(s + 2)/2
Suppose 0*i - 2/3*i**3 + 2/3*i**5 + 10/3*i**4 - 10/3*i**2 + 0 = 0. Calculate i.
-5, -1, 0, 1
Let a(h) be the first derivative of 1 + 0*h**5 + 0*h**3 + 0*h - 3/2*h**2 + 0*h**4 