3*j**2 + 0*j + 9*j**2 - 4*j**2 = 0. Calculate j.
0, 1
Let q(x) be the second derivative of x**6/45 - x**5/90 - x**4/27 - 10*x. Factor q(a).
2*a**2*(a - 1)*(3*a + 2)/9
Let v(o) be the third derivative of 2/9*o**3 + 5/168*o**8 + 2*o**2 + 0*o + 0 - 4/315*o**7 + 1/45*o**5 - 2/15*o**6 + 1/4*o**4. Let v(s) = 0. What is s?
-1, -2/5, -1/3, 1
Let q = 83/205 - 1/205. Let l = 64/155 - 2/155. Suppose l*w**2 + 0 + q*w = 0. What is w?
-1, 0
Suppose 113 = 3*g + 8. Let v be (g/(-10) - -4)*1. Factor 2 + v*b**2 + 2*b.
(b + 2)**2/2
Let m(z) be the second derivative of z**6/6 - 3*z**5/4 + 34*z. Factor m(y).
5*y**3*(y - 3)
Find j such that 2*j**3 - 2/3*j**2 - 2/3*j**4 - 2*j + 4/3 = 0.
-1, 1, 2
Let x(b) = 15*b**2 + 31*b - 14. Let d(c) = 8*c**2 + 16*c - 8. Let s(j) = 7*d(j) - 4*x(j). Let s(z) = 0. What is z?
-3, 0
Let g(h) = -h**3. Let a be g(1). Let b = 3 - a. Factor -1/2*v**b + 1/2*v + 1/2*v**5 + v**2 - 1/2 - v**3.
(v - 1)**3*(v + 1)**2/2
Let g be 21/(-357) + 44/170. Determine y so that g*y**2 + 0 - 1/5*y = 0.
0, 1
Let r be 92/14 - 4/7. Let k be ((-1)/(-1))/(3/r). Factor 0*o + 0 - 2/7*o**k + 6/7*o**3.
2*o**2*(3*o - 1)/7
Suppose 3 = -3*r - 0*r. Let p = r - -5. Factor 2/3*m**2 + 0*m + 4/3*m**3 + 0 + 2/3*m**p.
2*m**2*(m + 1)**2/3
Let q(f) = -f**3 + 2*f**2 + 2*f - 2. Let s be q(2). Factor 8*m**s + 0*m**2 - 4*m + 6*m**3 + 6*m.
2*m*(m + 1)*(3*m + 1)
Let m = 11 + -11. Let a(z) = z**2 - 2*z. Let p be a(m). Solve 3/2*u**4 + u**3 + p*u**2 + 0*u + 0 = 0 for u.
-2/3, 0
Let x(f) = -f**3 - 2*f**2 + f + 2. Let d(q) = -3*q**3 - 4*q**2 + 2*q + 5. Let h(s) = 2*d(s) - 5*x(s). Let h(t) = 0. Calculate t.
0, 1
Let i(p) be the third derivative of p**7/2520 - p**6/720 - p**4/24 - p**2. Let x(r) be the second derivative of i(r). Find f such that x(f) = 0.
0, 1
Let j(k) be the third derivative of k**5/60 - k**4/8 + k**3/3 + 13*k**2 + k. Factor j(l).
(l - 2)*(l - 1)
Let u(t) be the first derivative of 0*t**2 - 1/20*t**5 + 0*t - 1/180*t**6 - 1/6*t**4 - t**3 + 3. Let i(k) be the third derivative of u(k). Factor i(n).
-2*(n + 1)*(n + 2)
Suppose -6*s + s - 25 = 0. Let k be 33/15 + s/25. Let 1/4*m**3 + 1/4*m**k + 0*m + 0 = 0. Calculate m.
-1, 0
Suppose 4*f - 31 = 25. Let x(t) = -3*t**3 + 12*t**2 - 12*t - 7. Let r(c) = -4*c**2 + c**3 + 0 + 6 - 4 + 4*c. Let o(l) = f*r(l) + 4*x(l). Factor o(a).
2*a*(a - 2)**2
Let l(s) be the second derivative of -s**3 + 2*s**2 + 1/5*s**5 + 0 - 1/2*s**4 + 7*s. Determine z, given that l(z) = 0.
-1, 1/2, 2
Solve -20*i**4 - 23*i**5 + 28*i**5 - 25*i + 11 - 1 + 20*i**3 + 10*i**2 = 0.
-1, 1, 2
Let i be (-138)/184*(16/(-15))/2. Find n such that 2/5*n**2 - 2/5*n**4 + i*n - 6/5*n**3 + 4/5*n**5 + 0 = 0.
-1, -1/2, 0, 1
Factor -g - 1/2*g**2 + 3/2.
-(g - 1)*(g + 3)/2
Let a = 11 - 7. Suppose a*g + 0*y + 1 = y, 4*g + 4*y = 4. Factor g - 2/5*x**3 + 4/5*x - 2/5*x**2.
-2*x*(x - 1)*(x + 2)/5
Factor -11*x**3 + 1 + 5*x + 1 + 10*x**3 - x**4 + 3*x**2.
-(x - 2)*(x + 1)**3
Let o(k) be the second derivative of k**4/54 + 2*k**3/27 + 8*k. Solve o(c) = 0 for c.
-2, 0
Solve 2/17*w + 2/17 - 2/17*w**3 - 2/17*w**2 = 0 for w.
-1, 1
Suppose 3*j - 4*j = 0. Let b(s) be the third derivative of -1/270*s**5 + 1/108*s**4 + 0*s**3 - s**2 + 0*s - 1/540*s**6 + j + 1/945*s**7. What is u in b(u) = 0?
-1, 0, 1
Let f = -3922/9 - -436. Determine i, given that -f + 2/9*i**3 + 2/9*i**2 - 2/9*i = 0.
-1, 1
Let y(w) be the second derivative of 14*w**6/5 + 22*w**5/5 - w**4/3 - 4*w**3/3 + 31*w. Let y(m) = 0. Calculate m.
-1, -1/3, 0, 2/7
Let o be -3 - -1 - (2 - 0). Let g = 21/5 + o. Determine p, given that 1/5*p**2 - g*p + 0 = 0.
0, 1
Suppose 0 = -4*x + 2*h + 10, 6 = 5*x - 4*h - 8. Factor 1/2*z**x - 3/2*z + 1.
(z - 2)*(z - 1)/2
Suppose -6 = -5*u + c - 1, -4*c = 3*u + 20. Let v be (u - 6/(-21))*7. Factor 1/5 - 2/5*p + 1/5*p**v.
(p - 1)**2/5
Suppose -2*g = -3*g - d + 6, g + 10 = 3*d. Let p(m) be the first derivative of 2*m**2 - 2/3*m**3 - g*m + 4. Factor p(h).
-2*(h - 1)**2
Let r(y) = -5*y**2 - 4*y - 4. Let p(j) = -11*j**2 - 9*j - 9. Let v(a) = -6*p(a) + 13*r(a). Let k be v(-2). Factor 1/2*m**k + 1/2 + m.
(m + 1)**2/2
Let l(x) = 2*x - 2. Let p be l(-2). Let m = p - -8. Determine h, given that -1 - h**2 + m*h**2 - 1 + h = 0.
-2, 1
Let c be (1*(-3)/(-3))/1. Let j(b) = b**3 + 2*b**2 - b. Let d be j(c). Find f, given that 4*f**3 - d*f**5 - 2 + 0*f**2 + 4*f**2 - 2*f**4 + 3*f - 5*f = 0.
-1, 1
Let x be 3/((-9)/6) - (-48)/20. Factor x*v + 1/5 + 1/5*v**2.
(v + 1)**2/5
Let i(w) be the first derivative of -w**7/5880 + w**5/280 + w**4/84 - 5*w**3/3 + 5. Let h(o) be the third derivative of i(o). Factor h(c).
-(c - 2)*(c + 1)**2/7
Let x(l) be the first derivative of -1156*l**5/35 + 646*l**4/7 - 572*l**3/7 + 152*l**2/7 - 16*l/7 + 16. Factor x(o).
-4*(o - 1)**2*(17*o - 2)**2/7
Let n(h) be the second derivative of -1/24*h**4 + 0*h**2 - 1/80*h**5 - 3*h - 1/24*h**3 + 0. What is f in n(f) = 0?
-1, 0
Let o(b) be the second derivative of -b**8/8400 - 2*b**7/1575 - b**6/225 - 2*b**4/3 - 5*b. Let u(j) be the third derivative of o(j). Factor u(z).
-4*z*(z + 2)**2/5
Let f(y) be the second derivative of 0 + 0*y**3 + 1/30*y**6 + 1/12*y**4 + y + 0*y**2 + 1/10*y**5. Factor f(w).
w**2*(w + 1)**2
Let y(m) be the second derivative of m**7/10080 + m**6/1440 - m**4/4 - 3*m. Let v(h) be the third derivative of y(h). Factor v(t).
t*(t + 2)/4
Let c = 30 + -30. Find o such that 0*o**4 + o**3 + c + 0*o**2 - 1/2*o - 1/2*o**5 = 0.
-1, 0, 1
Let o(h) be the first derivative of -h**6/900 + h**5/150 + 2*h**2 + 2. Let x(f) be the second derivative of o(f). Factor x(q).
-2*q**2*(q - 3)/15
Suppose -1/2*y**5 + y**3 + 0 + 0*y**2 + 0*y + 1/2*y**4 = 0. Calculate y.
-1, 0, 2
Let w = 20435/3 + -6662. Let o = -148 + w. Suppose 0 + o*x**2 + 1/3*x**4 + 4/3*x**3 + 2/3*x = 0. What is x?
-2, -1, 0
Let s(w) = -w**2 - 51. Let o be s(0). Let r = o - -167/3. Determine c, given that -4/3*c**3 - 10*c**4 + 2/3 - r*c + 28/3*c**2 + 6*c**5 = 0.
-1, 1/3, 1
Let j(y) be the first derivative of -1/10*y**4 + 2/15*y**3 + 0*y**2 + 1/15*y**6 - 2/25*y**5 + 1 + 0*y. Factor j(m).
2*m**2*(m - 1)**2*(m + 1)/5
What is j in 20*j**2 + 16/3*j**4 - 52/3*j**3 + 4/3 - 28/3*j = 0?
1/4, 1
Let l(u) be the first derivative of 3*u**4/16 + 3*u**3/2 + 9*u**2/2 + 6*u - 17. Solve l(t) = 0.
-2
Let 3*q**3 + q**2 - 6*q**2 - 4*q**2 - 23*q + 29*q = 0. What is q?
0, 1, 2
Let o(y) be the second derivative of 2*y + 3/50*y**5 + 7/10*y**3 - 1/70*y**7 + 0 + 3/5*y**2 + 2/5*y**4 - 1/25*y**6. Factor o(b).
-3*(b - 2)*(b + 1)**4/5
Let j = -14 + 27. Suppose x = 4*o - j, -3*x - 3*o + 33 = 12. Find s, given that -6*s**2 + 14 - 3*s**5 + 5*s**x - 3*s - 11 + 3*s**4 + s**3 = 0.
-1, 1
Let b(t) be the first derivative of 14/3*t**3 - t**2 - 15/2*t**4 + 2 + 0*t - 4/3*t**6 + 26/5*t**5. Factor b(n).
-2*n*(n - 1)**3*(4*n - 1)
Let i(c) be the first derivative of c**3/6 - 5*c**2/4 + 2*c - 11. Find r, given that i(r) = 0.
1, 4
Let l = -52/11 - -1571/330. Let a(b) be the third derivative of -2*b**2 + 0*b**3 + 0*b + 0 + 0*b**4 - l*b**5 + 1/60*b**6. Let a(r) = 0. Calculate r.
0, 1
Let y(c) be the second derivative of -c**4/3 + 2*c**3 + 8*c**2 + 15*c. Factor y(k).
-4*(k - 4)*(k + 1)
Let o(l) = -l**3 - 3*l**2 - 1. Let j(i) = i**3 + 3*i**2. Let b(x) = -x**3 - 2*x**2 + 2*x + 1. Let h be b(-3). Let y(s) = h*o(s) + 5*j(s). Factor y(n).
(n - 1)*(n + 2)**2
Let o be (-5 - -2) + 3 + 2. Suppose o*p - 3 - 5 = 0. Solve -x**p + 0*x**2 + 0 + 1/2*x**3 + 0*x + 1/2*x**5 = 0.
0, 1
Let n = 10 + -14. Let t(q) = -q**2 + q - 1. Let p(o) = 2*o**2 - 2*o + 4. Let w(z) = n*t(z) - p(z). Factor w(m).
2*m*(m - 1)
Factor -1 - b**5 + 5*b**4 - 2*b**2 - 4*b**3 + 3*b + 2*b**3 - 2*b**4.
-(b - 1)**4*(b + 1)
Solve -6/7*u + 2/7*u**2 + 4/7 = 0.
1, 2
Factor 8/3*f + 0 + 2/3*f**2.
2*f*(f + 4)/3
Let x(n) be the third derivative of -n**6/420 - n**5/42 - n**4/28 + 3*n**3/7 - 13*n**2. Factor x(s).
-2*(s - 1)*(s + 3)**2/7
Let h = 8 - 4. Suppose 6 = w + 4*t, h*w - 1 - 3 = 4*t. Find g, given that 4 + 0 + 3*g + g**w + g = 0.
-2
Let f(r) be the first derivative of -r**6/180 - r**3 - 2. Let t(z) be the third derivative of f(z). Solve t(x) = 0 for x.
0
Let r(g) = g**2 + g + 1. Let t(b) = -3*b**2 - 4*b - 4. Let i(m) = -3*m. Let l be i(-1). Let p(z) = l*t(z) + 8*r(z). Factor p(d).
-(d + 2)**2
Let a be (-11)/(-33)*0/(-2). Let j(x) be the first derivative of 1/3*x**2 + a*x + 2/9*x**3 + 1. Factor j(l).
2*l*(l