rst derivative of -k**4/24 - k**3/9 + k**2/12 + k/3 + 5. Suppose v(u) = 0. Calculate u.
-2, -1, 1
Suppose -d + 3 = 1. Let x(g) be the third derivative of d*g**2 + 1/21*g**3 - 1/420*g**6 + 0 + 0*g - 1/210*g**5 + 1/84*g**4. Let x(w) = 0. Calculate w.
-1, 1
Factor -2/5*o**2 - 2/15 + 2/15*o**3 + 2/5*o.
2*(o - 1)**3/15
Let j(a) be the third derivative of -a**8/84 + 4*a**7/105 - 2*a**5/15 + a**4/6 + 16*a**2. Solve j(g) = 0 for g.
-1, 0, 1
Let c(u) be the third derivative of u**6/360 + 3*u**5/160 + u**4/48 - 7*u**3/6 + 7*u**2. Let t(o) be the first derivative of c(o). Factor t(g).
(g + 2)*(4*g + 1)/4
Let r be -3*((-1)/(-4) - 52/80). Factor 3/5*h**4 + 0*h - r*h**2 + 3/5 + 0*h**3.
3*(h - 1)**2*(h + 1)**2/5
Let g be (-25)/(-5) + (-2)/(-18) + -4. Factor g*b**2 - 2/9*b + 0.
2*b*(5*b - 1)/9
Let g = -24 + 26. Let o(w) be the first derivative of 2/3*w**3 - w**g + 2/5*w**5 + 7/6*w**4 - 2 - 4/3*w. Let o(d) = 0. What is d?
-1, 2/3
Determine m so that 2*m**4 + 12*m**2 + 3*m + m - 18*m**2 = 0.
-2, 0, 1
Let c(s) be the third derivative of s**6/300 + s**5/75 - 6*s**2. Suppose c(g) = 0. What is g?
-2, 0
Let g(p) = p**2 - 6*p + 3. Let d be g(6). Factor -c**5 - 6*c**4 - 4*c**2 + 2*c**4 - c + 0*c**2 - 6*c**d.
-c*(c + 1)**4
Let z(t) be the third derivative of t**10/252000 - t**9/33600 + t**8/16800 - t**5/15 + 6*t**2. Let m(s) be the third derivative of z(s). Factor m(n).
3*n**2*(n - 2)*(n - 1)/5
Let x(i) be the third derivative of -i**6/40 - 3*i**5/20 - i**4/4 - 14*i**2. Let x(w) = 0. Calculate w.
-2, -1, 0
Let p be 56/49*(-7)/(-3). Factor -2*j**2 - 8/9 + p*j.
-2*(3*j - 2)**2/9
Let c(f) be the first derivative of -f**3/3 - 7*f**2/2 - 3*f - 3. Let o = -1 - 6. Let m(h) = -3*h**2 - 15*h - 7. Let r(q) = o*c(q) + 3*m(q). Factor r(w).
-2*w*(w - 2)
Let v = 207/560 + -5/16. Let q(n) be the first derivative of -2/21*n**3 + 0*n - 1/14*n**4 + 1/7*n**2 + v*n**5 + 2. Factor q(y).
2*y*(y - 1)**2*(y + 1)/7
Let c(l) = 9*l**3 + 9*l**2 + 3*l + 15. Suppose 5 = 3*h + 2*h. Let f(i) = i**3 + i**2 + 1. Let r(k) = h*c(k) - 12*f(k). Let r(x) = 0. What is x?
-1, 1
Let f(z) = -z**2 - 4*z - 4. Let k be f(-3). Let t = 1 - k. Factor 18*c**t + 4*c - 2 + 2.
2*c*(9*c + 2)
Suppose -2/15*a**3 - 14/15*a + 2/5 + 2/3*a**2 = 0. What is a?
1, 3
Factor -2/5*x**4 + 1/5*x**5 - 1/5*x + 0 + 2/5*x**2 + 0*x**3.
x*(x - 1)**3*(x + 1)/5
Let n = 7 + -11. Let i(u) = 3*u**5 - 4*u**4 + 5*u**3 + 4*u + 4. Let m(o) = -2*o**5 + 3*o**4 - 4*o**3 - 3*o - 3. Let x(q) = n*m(q) - 3*i(q). Factor x(p).
-p**3*(p - 1)*(p + 1)
Let y(w) be the third derivative of -w**7/168 - w**6/32 + w**5/12 + 54*w**2. Factor y(j).
-5*j**2*(j - 1)*(j + 4)/4
Let q be (-38)/(-12) - (-8)/(-48). Let x(t) be the first derivative of -2 - 2/7*t + 2/21*t**q + 0*t**2. Find a, given that x(a) = 0.
-1, 1
Suppose -3*u + 0*u + 3*m = -6, 2 = 2*m. Suppose 12/5*j**2 + 0 - 3*j**u + 12/5*j - 9/5*j**4 = 0. Calculate j.
-2, -2/3, 0, 1
Let y = 6 + -6. Factor 0*a - 6*a**3 + 6*a**2 + y - 45/2*a**4.
-3*a**2*(3*a + 2)*(5*a - 2)/2
Suppose -4*g + 15*g - 66 = 0. Let s(y) be the first derivative of -11*y**3 - 2 + 27/5*y**5 + g*y + 21/4*y**4 - 21/2*y**2. Let s(z) = 0. What is z?
-1, 2/9, 1
Let w = 112 - 77. Factor -35*f**3 + w*f**3 - 3*f**4.
-3*f**4
Let n(b) be the third derivative of b**8/1008 - b**7/315 + b**6/360 - 8*b**2. Factor n(p).
p**3*(p - 1)**2/3
Let k be 3 + (-2*(-4)/(-8))/1. Suppose -90/7*l**k + 48/7*l - 8/7 + 50/7*l**3 = 0. Calculate l.
2/5, 1
Factor n + 0*n - 2*n + 4*n - 3*n**3.
-3*n*(n - 1)*(n + 1)
Let d(z) be the first derivative of 3*z**4 - 4*z**3/3 - 13. Let d(h) = 0. What is h?
0, 1/3
Let t(z) = -3*z**5 + 10*z**4 + z**3 - 25*z**2 + 2*z + 15. Let l(w) = 2*w**5 - 5*w**4 - w**3 + 13*w**2 - w - 8. Let j(y) = -5*l(y) - 3*t(y). Factor j(b).
-(b - 1)**2*(b + 1)**2*(b + 5)
Let v(j) be the second derivative of j**6/255 + j**5/170 - j**4/34 - 5*j**3/51 - 2*j**2/17 - 2*j. Factor v(s).
2*(s - 2)*(s + 1)**3/17
Let k(g) = -g**2 - 11*g + 3. Let n be k(-11). Factor 3*b**4 - n*b**2 + 6*b**2 + 0*b**4 + 6*b**3.
3*b**2*(b + 1)**2
Let f = -1 + 3. Suppose a**3 + a**5 + 2*a**5 - a**5 + f*a - 5*a**3 = 0. What is a?
-1, 0, 1
Let y(x) = 6*x. Let n(s) = 1. Let h(j) = -j**2. Let o(b) = h(b) - n(b). Let a(i) = -3*o(i) + y(i). Let a(d) = 0. Calculate d.
-1
Let v(q) be the second derivative of -q**8/168 + q**7/105 + q**6/60 - q**5/30 + q**2 - 3*q. Let d(h) be the first derivative of v(h). Factor d(o).
-2*o**2*(o - 1)**2*(o + 1)
Let y(q) = -q**3 + 4*q**2 - 3. Let d be y(4). Let x be (-5)/d - 1/(-3). Solve 0*u + 0*u**3 - x*u**3 + 2*u - 2*u**2 + 2*u**4 = 0 for u.
-1, 0, 1
Let b(o) be the first derivative of 0*o**2 + 0*o - 3 + 1/8*o**4 - 1/10*o**5 + 0*o**3. Let b(q) = 0. Calculate q.
0, 1
Let k = 3 - -2. Factor -j**2 - 6*j**4 + j**5 - 3*j**k - j**2 - 6*j**3.
-2*j**2*(j + 1)**3
Suppose -y = -2 - 0. Factor 3/4*i + 0 + 3/4*i**y.
3*i*(i + 1)/4
Let m(k) = -8*k**2 - 12*k - 24. Let x(s) = 9*s**2 + 12*s + 25. Let i(h) = -7*m(h) - 6*x(h). Solve i(a) = 0.
-3
Suppose -3*o - 5 + 11 = 0. Let x(m) be the first derivative of o + 1/4*m**3 + 1/16*m**4 + 1/4*m + 3/8*m**2. Suppose x(b) = 0. What is b?
-1
Let i(l) = l + 5. Let c be i(-5). Find x, given that -3*x**3 + x + c - 9/2*x**4 + 5/2*x**2 = 0.
-1, -1/3, 0, 2/3
Let y(k) = -12*k**3 - k**2 - 5*k - 4. Let i be y(-4). Let p = 8456/11 - i. What is x in -10/11*x**3 + p*x**4 + 0*x + 2/11*x**2 + 0 = 0?
0, 1/4, 1
Suppose 2*v = 7*v - 10. Factor -2/5*m**v + 0 - 2/5*m.
-2*m*(m + 1)/5
Suppose -4*b - 7 - 1 = d, -5*d + 4*b = -8. Determine z so that -1/3*z**3 + d - 2/3*z + z**2 = 0.
0, 1, 2
Suppose 0 = 3*z - 10 - 11. Let u(x) be the third derivative of 1/18*x**3 + 0 + 1/180*x**6 - 1/630*x**z - x**2 + 0*x**5 + 0*x - 1/36*x**4. Factor u(w).
-(w - 1)**3*(w + 1)/3
Let q(o) = -6*o - 1. Let g be q(-1). Suppose -c - 25 = -g*b, 4*b + 5*c - 57 = -8. Find i, given that b*i**3 + i**2 - 2*i**3 - i + 2*i**2 = 0.
-1, 0, 1/4
Determine u so that 5/3*u + 1/3*u**5 + 6*u**3 + 16/3*u**2 + 8/3*u**4 + 0 = 0.
-5, -1, 0
Let r = 4/11 - 284/55. Let o = -206/45 - r. Determine a so that 0*a - o + 2/9*a**2 = 0.
-1, 1
Suppose 3*h + 5*l - 40 = 0, h + 3*h = -3*l + 35. Suppose 7*u**2 + 32*u - 64 + 5*u**2 - 21*u**2 + h*u**2 = 0. What is u?
4
Suppose -d - d = 144. Let r be 2/24*d/(-27). Factor 2/9*z**2 - r - 2/9*z + 2/9*z**3.
2*(z - 1)*(z + 1)**2/9
Let n(v) be the third derivative of v**8/1344 - v**6/120 + v**5/120 + v**4/32 - v**3/12 + 11*v**2. Suppose n(w) = 0. Calculate w.
-2, -1, 1
Let k be ((-16)/40)/1 - (-4)/10. Determine d, given that k - 2*d**3 + 24/7*d**2 + 8/7*d = 0.
-2/7, 0, 2
Let p = 11 + -2. Suppose -3*c - 5*o = -0*c + p, 0 = -2*c - 2*o - 2. Find u such that c*u**2 - u - 1 - 1 + 2*u**3 - u = 0.
-1, 1
Let c = 27/235 - -4/47. Let 1/5*b**5 + c*b**2 - 1/5*b**4 + 8/5*b + 4/5 - b**3 = 0. Calculate b.
-1, 2
Suppose -3*n + 7 = -2. Suppose 4 = n*t - 2. Factor -t*l - 2*l**3 + 1/2*l**4 + 3*l**2 + 1/2.
(l - 1)**4/2
Suppose -4/9*f - 2/9*f**2 + 0 = 0. Calculate f.
-2, 0
Suppose 14 + 6 = -3*p + 4*a, -2*a = 3*p - 10. Let j(d) be the first derivative of -1 + p*d - 1/3*d**3 - 1/2*d**2. Factor j(u).
-u*(u + 1)
Factor -1 + 1 + 70*g**2 - 68*g**2.
2*g**2
Let x(d) = -d**2 + 12*d - 48. Let z(f) = -3. Let q(b) = -3*x(b) + 12*z(b). Factor q(y).
3*(y - 6)**2
Let v(y) = 3*y**4 + 3*y**3 - 6*y**2 - 3*y - 3. Let m(n) = 3*n**4 + 4*n**3 - 7*n**2 - 4*n - 4. Let b(s) = 3*m(s) - 4*v(s). What is q in b(q) = 0?
-1, 0, 1
Let n(k) = -k**3 + 12*k**2 - 3*k + 36. Let d be n(12). Factor 0 + 0*h**2 + d*h + 2/9*h**3.
2*h**3/9
Suppose 24 = 2*t + 2*d + 6, d = 3*t - 7. What is a in -a**3 + t*a**2 + a - a - 3*a**2 = 0?
0, 1
Let g(r) be the third derivative of -5*r**8/336 + r**7/42 + 7*r**6/12 + 13*r**5/6 + 95*r**4/24 + 25*r**3/6 + 37*r**2 - 2*r. Solve g(w) = 0.
-1, 5
Let w be 2*12*3/(-6). Let n(i) = -27*i**3 - 12*i**2 + 12. Let h(c) = -11*c**3 - 5*c**2 + 5. Let y(p) = w*h(p) + 5*n(p). Determine g, given that y(g) = 0.
0
Suppose 67/4*f**3 - 1/2*f**4 + f**2 - 1/2 - 11/4*f - 14*f**5 = 0. What is f?
-1, -2/7, -1/4, 1/2, 1
Let b(d) be the first derivative of -2 + 2*d**3 - d**2 - 3/2*d**4 + 0*d + 2/5*d**5. Factor b(n).
2*n*(n - 1)**3
Let x(c) be the first derivative of c**6/3 - 8*c**5/5 + 3*c**4 - 8*c**3/3 + c**2 + 10. Determine s, given that x(s) = 0.
0, 1
Let s = -65 + 65. Factor 0*t**2 + 3/7*t**3 + s*t + 0.
3*t**3/7
Let y be (-13)/((-39)/12) + -1. 