the third derivative of r(g). What is v in j(v) = 0?
1, 3
Factor -2/3*r**3 - 2/3*r**2 + 2/3*r + 0 + 2/3*r**4.
2*r*(r - 1)**2*(r + 1)/3
Let z(g) be the third derivative of 0*g + 0*g**3 + 0 - 1/3*g**5 - 1/3*g**4 - 8*g**2 + 2/105*g**7 - 1/10*g**6 + 1/84*g**8. Factor z(c).
4*c*(c - 2)*(c + 1)**3
Factor 15*k - 640*k**2 - 1 + 7 + 6 + 643*k**2.
3*(k + 1)*(k + 4)
Let z(p) be the third derivative of -1/60*p**6 - 1/210*p**7 + 2*p**2 + 0*p**5 + 1/6*p**3 + 0 + 0*p + 1/12*p**4. Let z(k) = 0. Calculate k.
-1, 1
Let p be (-18)/(-135)*5/4. Let d(j) be the first derivative of p*j**3 + 1 + 0*j**2 - 1/2*j. Factor d(l).
(l - 1)*(l + 1)/2
Let f = 5193 - 114283/22. Let m = 24/11 + f. What is c in -m - 1/4*c**2 - 3/4*c = 0?
-2, -1
What is s in 0*s + 0 - 3*s**3 - 6/5*s**2 + 6/5*s**4 + 3*s**5 = 0?
-1, -2/5, 0, 1
Suppose 3*x = -0*x - 189. Let w = -565/9 - x. Factor 0 - w*p**2 + 0*p.
-2*p**2/9
Suppose 2*c = 3*c - 2. Suppose 7 = 4*y - 1. Find p such that -2/3 - 4/3*p**3 + c*p**y + 0*p = 0.
-1/2, 1
Let f be (-4)/(-10) - (-18)/5. Suppose 2*u - 29 = -n + 7*u, 0 = f*u + 20. Determine l, given that -7*l**3 - 20*l + 18*l**2 - l**4 + 10 + 2*l**n - 2 = 0.
1, 2
Let h(b) be the second derivative of b**6/40 - 9*b**4/8 + 243*b**2/8 + 8*b. Factor h(z).
3*(z - 3)**2*(z + 3)**2/4
Let y(x) be the first derivative of -x**4/12 + x**3/6 - 3*x - 1. Let i(b) be the first derivative of y(b). Solve i(k) = 0 for k.
0, 1
Find o such that o**2 + o**4 - 46*o**3 + 2*o - 2*o**2 + 44*o**3 = 0.
-1, 0, 1, 2
Let c = 75 - 71. Let r(m) be the second derivative of -1/10*m**5 - 1/21*m**7 + 2/15*m**6 + 0*m**c + 0 + 0*m**2 + 0*m**3 - 2*m. Solve r(q) = 0 for q.
0, 1
Let c be ((-21)/(-4))/(18/48). Suppose 6*q**5 + 8*q**3 + 2*q**4 + 0 + 0 - 2*q**2 - c*q**3 = 0. What is q?
-1, -1/3, 0, 1
Let v(z) be the first derivative of z**6/900 - z**5/100 + z**4/30 - z**3 - 1. Let p(u) be the third derivative of v(u). Solve p(m) = 0 for m.
1, 2
Suppose m = 6*m. Find x, given that 2*x**2 + 2*x - x + m*x**2 + x**3 = 0.
-1, 0
Factor 0 + 3/5*t**2 + 3/5*t.
3*t*(t + 1)/5
Let r(q) be the first derivative of -2 - 1/108*q**4 - 1/270*q**5 + 1/2*q**2 + 0*q**3 + 0*q. Let a(v) be the second derivative of r(v). Let a(o) = 0. What is o?
-1, 0
Let t(i) = 2*i - 6. Let h be t(5). Suppose 0*r - 4*r - 2 + 4*r**2 - 2*r**h + 2*r**5 - 4*r**3 + 6*r + 0*r**2 = 0. Calculate r.
-1, 1
Suppose -u = -11 + 6. Let b(k) be the third derivative of 3*k**2 + 0 - 1/4*k**6 + 1/2*k**4 - 2*k**3 + 3/70*k**7 + 0*k + 7/20*k**u. Solve b(s) = 0 for s.
-2/3, 1, 2
Suppose -2*f - 20 = 2*f. Let a = -3 - f. Let 3*q**4 - 2*q - 4*q**2 + q**2 + 0*q**2 + a*q**3 = 0. What is q?
-1, -2/3, 0, 1
Let s(a) be the first derivative of a + 1 - 1/6*a**4 - 2/3*a**3 - a**2. Let f(u) be the first derivative of s(u). Factor f(l).
-2*(l + 1)**2
Let y(x) be the third derivative of x**8/3024 - x**7/630 + x**6/360 - x**5/540 - 28*x**2. Find z, given that y(z) = 0.
0, 1
Suppose 2*o - y = -23, 0 = -4*o - 2*y + y - 43. Let q be -1 - -6 - (-8 - o). Factor i + 1/3*i**q + 2/3.
(i + 1)*(i + 2)/3
Let z be 1/((15/6)/5). Let q be 334/7 + z/7. Factor 2*f - 12*f**2 + 2 + q*f**4 + 32*f**5 - 2 + 2*f**3.
2*f*(f + 1)**2*(4*f - 1)**2
Let f be ((-4)/(-32))/(6/24). Suppose -4*u - 4*t - t - 20 = 0, -8 = 4*u + 2*t. Determine k, given that -1/2*k**3 - k**2 + u - f*k = 0.
-1, 0
Suppose 0 = 8*m + 3*m - 33. Factor -2/7*i**m + 0 + 2/7*i**5 - 2/7*i**4 + 2/7*i**2 + 0*i.
2*i**2*(i - 1)**2*(i + 1)/7
Let q(u) be the second derivative of -1/100*u**5 + 0*u**3 + u + 0 - 4/75*u**6 + 0*u**2 - 8/105*u**7 + 0*u**4. Factor q(j).
-j**3*(4*j + 1)**2/5
Let k(p) = p**3 - 11*p**2 + 11*p - 10. Let m be k(10). Find r such that 3 + 0*r - 2*r - r**2 + 0*r**2 + m*r**2 = 0.
-3, 1
Let s(m) be the third derivative of -m**6/320 + 3*m**5/80 - 3*m**4/16 + m**3/2 + 11*m**2. Let s(r) = 0. Calculate r.
2
Let w(d) be the second derivative of 0*d**6 - 1/3*d**4 - 2/5*d**5 + 2*d**2 + d**3 + 1/21*d**7 - 3*d + 0. Let w(f) = 0. Calculate f.
-1, 1, 2
Suppose 11*s**3 + 10*s**4 - 12*s**2 - 3*s**5 - 35*s**3 - 25*s**4 = 0. What is s?
-2, -1, 0
Let t(w) be the third derivative of -w**9/9072 + w**8/5040 + w**3/3 + 2*w**2. Let h(l) be the first derivative of t(l). Let h(a) = 0. Calculate a.
0, 1
Let r be 1/2*(5 - 5). Let f(x) be the third derivative of r*x + 0*x**3 + 0 - 1/60*x**5 + 0*x**4 - 1/210*x**7 - x**2 + 1/60*x**6. Find u such that f(u) = 0.
0, 1
Let j be 0/(-3 + 2) - -4. Factor 2 - r**j - 2*r + 2*r**3 + 3*r**4 - r**4 - 3.
(r - 1)*(r + 1)**3
Suppose -3*z + c + 20 = 0, 4*z + 3*c = 3*z. Let h(p) = -4*p**2 - 22*p + 32. Let a(r) = r**2 + r. Let f(n) = z*a(n) + h(n). What is u in f(u) = 0?
4
Let k(m) be the first derivative of 3*m**4/4 + m**3 + 8. Factor k(x).
3*x**2*(x + 1)
Factor 4/3 - 1/3*x**2 - x.
-(x - 1)*(x + 4)/3
Let o(h) be the third derivative of 1/15*h**4 + 1/100*h**6 + 0*h**3 + 4/75*h**5 + 6*h**2 + 0 + 0*h. Factor o(s).
2*s*(s + 2)*(3*s + 2)/5
Suppose 0 = -4*w + 4 + 4. Suppose w*z**2 - 2*z**3 + 2*z**5 + 5*z**2 - 5*z**2 - 2*z**4 = 0. What is z?
-1, 0, 1
Let h(b) = 3*b**2 - 2*b - 3. Let x(d) = -16*d**2 + 11*d + 16. Let w(s) = 11*h(s) + 2*x(s). Suppose w(k) = 0. Calculate k.
-1, 1
Solve 16*b**2 + 3*b**3 + 10*b**2 - 20*b**2 = 0 for b.
-2, 0
Let 7/4*o**5 + 15/4*o**4 + 0*o + 0 + 1/4*o**2 + 9/4*o**3 = 0. What is o?
-1, -1/7, 0
Let k = 2 + 2. Suppose -j = -0*j - k. Factor -6 - 6*u + 6*u**3 - 4*u**2 + 2*u**2 + j*u**4 + 4.
2*(u - 1)*(u + 1)**2*(2*u + 1)
Let p(j) be the second derivative of j**5/10 + j**4/6 + j. Factor p(o).
2*o**2*(o + 1)
Factor -3*b**3 + 43*b**2 + 3*b + 8*b - 11*b**2.
-b*(b - 11)*(3*b + 1)
Let i(q) be the third derivative of -1/8*q**4 + 0 - 3/40*q**6 + 0*q**3 + 1/70*q**7 + 3/20*q**5 - q**2 + 0*q. What is y in i(y) = 0?
0, 1
Let z = -23 + 23. Suppose z = 11*r - 6*r - 15. Factor 0 + 2/7*v + 2/7*v**r - 4/7*v**2.
2*v*(v - 1)**2/7
Let b = -346 + 1744/5. Let n be -2*(-4)/(8/5). Let -38/5*z**3 - 10*z**2 - 2/5*z**n - 32/5*z - b*z**4 - 8/5 = 0. Calculate z.
-2, -1
Let y(m) be the first derivative of -m**7/70 + 3*m**6/40 - 3*m**5/20 + m**4/8 - m**2 - 3. Let k(i) be the second derivative of y(i). Factor k(w).
-3*w*(w - 1)**3
Suppose 3*v + 2*v - 10 = -5*c, 0 = -2*v + 2*c + 8. Let l be 1 - (-2 + 1 + 0). Factor 9*t**3 + l*t**3 - v*t**2 + 0*t**3 - 2*t**3.
3*t**2*(3*t - 1)
Let n(p) = -p**3 + 4*p**2 + 2*p - 6. Let c be n(4). Suppose 4*a**3 + 17*a**2 - 8*a**c + 3*a - a**3 + 3*a = 0. Calculate a.
-2, -1, 0
Solve 3*a + 2 + a**2 + a + 4*a + 14 = 0 for a.
-4
Let p(d) = 5*d**3 - 20*d**2 + 18*d + 4. Let c(y) = y + 3*y**3 - 7*y**2 - y**3 + 1 - 3*y + 8*y. Let v = 22 - 15. Let s(n) = v*c(n) - 2*p(n). Factor s(k).
(k - 1)**2*(4*k - 1)
Let f(t) be the second derivative of 0*t**2 + 3*t + 2/3*t**3 + 1/10*t**5 + 0 - 1/2*t**4. Let f(i) = 0. Calculate i.
0, 1, 2
Let z(r) be the second derivative of 2*r**6/25 + 13*r**5/100 - r**3/30 - 5*r. Suppose z(y) = 0. Calculate y.
-1, -1/3, 0, 1/4
Factor 8*n**3 + 7*n**3 - 6 - 13*n**3 - 9*n + n**3.
3*(n - 2)*(n + 1)**2
Let l be (-6)/20 + (-48)/(-60). Let b = -67/2 - -35. Find c, given that -c**2 + c**4 + 2*c**3 - b*c**5 + 0 - l*c = 0.
-1, -1/3, 0, 1
Let x(v) = 2 + 3 - 2 + v. Let y be x(-3). Solve -2/5*h**2 - 1/5*h**3 + 0 + y*h = 0.
-2, 0
Determine a so that -2394*a**3 - 56*a - 54*a**4 + 2178*a**3 - 99*a**2 - 6 - 81*a**2 = 0.
-3, -1/3
Suppose 5*x - 31 = -6. Suppose -x*i - 5 = 5*p, 9 = -p - 4*i - 1. Determine o so that -1/3 - 1/3*o**p + 2/3*o = 0.
1
Let g(w) = -w**3 + w + 2. Let z be g(-2). Determine n, given that -12 + 4*n + 2*n**3 + z - 4*n**3 - n**4 + 3*n**2 = 0.
-2, 1
Suppose 0 - 2 = 2*o. Let r be (12 + -2)/(o - -3). Factor w**4 + 4*w**r - 3*w**5 + 0*w**4.
w**4*(w + 1)
Let a(o) = 6*o**4 + 3*o**3 - 9*o**2 - 3*o. Let w(l) = l**5 + l**4 - l. Let z(p) = a(p) + 3*w(p). Suppose z(b) = 0. Calculate b.
-2, -1, 0, 1
Let j be (28/5)/((-90)/(-1275)). Let c = 80 - j. Determine h so that -2/9*h**3 + 2/9 - c*h + 2/3*h**2 = 0.
1
Solve 1/2*i**3 - 1/4*i**2 + 1/4*i**4 - 1/2*i + 0 = 0.
-2, -1, 0, 1
Let t = 38 - 36. Factor 0 - 1/2*q**t + 0*q - 1/2*q**3.
-q**2*(q + 1)/2
What is t in 3/2*t + 3 - 3*t**2 - 3/2*t**3 = 0?
-2, -1, 1
Factor 2/9*n - 2/9 + 2/9*n**5 - 4/9*n**3 - 2/9*n**4 + 4/9*n**2.
2*(n - 1)**3*(n + 1)**2/9
Let o be (0 - 3)*(-5)/1685. Let c = o + 3343/3033. Factor -10/9*d + 20/9*d**2 - 2/9*d**5 + 2/9 + c*d**4 - 20/9*d**3.
-2*(d - 1)**5/9
Let n = 5 +