t derivative of -4/9*f**3 + 2/9*f**4 - f**2 + 1 + 1/180*f**6 - 1/18*f**5 + 0*f. Let x(i) be the second derivative of u(i). Factor x(j).
2*(j - 2)**2*(j - 1)/3
Suppose 5*j + 2 = 12. Suppose 3*f**2 - 3*f**2 + f + 3*f**j + 0*f = 0. What is f?
-1/3, 0
Let n(l) = -105*l**2 - 168*l - 78. Let s(a) be the third derivative of 2*a**5/15 + 13*a**4/24 + a**3 - 2*a**2. Let y(w) = 2*n(w) + 27*s(w). Factor y(z).
3*(z + 2)*(2*z + 1)
Let z be 2/6*(1 + 11). Suppose -z*a + 2*j - 3*j + 19 = 0, -5*a + 5*j + 5 = 0. Factor 2*c**2 - 3*c - 3*c + 2*c + 4*c**3 - 2*c**4 + 0*c**a.
-2*c*(c - 2)*(c - 1)*(c + 1)
Let l be (-4)/(-16 + 10/5). Factor 1/7*j + l*j**2 + 1/7*j**3 + 0.
j*(j + 1)**2/7
Let k(j) be the third derivative of -j**6/180 + j**5/15 - 23*j**2. Let k(l) = 0. What is l?
0, 6
Let a be (5 - 14)/(3 - 2). Let j = a - -11. What is q in -6*q**3 - 82/7*q**j - 48/7*q - 8/7 = 0?
-1, -2/3, -2/7
Let j(o) be the second derivative of o**5/40 + 5*o. What is h in j(h) = 0?
0
Let b(q) = q**2 - 5*q + 6. Let a be b(4). Let -6*y**3 + 2*y**4 + 2*y**a - 3*y**4 + 2 - 2*y + 8*y - 3*y**4 = 0. Calculate y.
-1, -1/2, 1
Let n(b) be the first derivative of 0*b**2 + 0*b**3 + 1/18*b**4 + 2 - 1/90*b**6 + 1/60*b**5 + b. Let d(x) be the first derivative of n(x). Factor d(p).
-p**2*(p - 2)*(p + 1)/3
Suppose -1/2 - 9/4*x**2 - 11/4*x = 0. Calculate x.
-1, -2/9
Let i(g) be the first derivative of 5*g**5/2 + 5*g**4 + 5*g**3/6 - 5*g**2/2 + 49. Factor i(w).
5*w*(w + 1)**2*(5*w - 2)/2
Let d = 8 - 3. Let h be d/(-9)*(-12)/10. Factor 4/9*m**3 - h*m**2 - 8/9*m + 2/9*m**4 + 8/9.
2*(m - 1)**2*(m + 2)**2/9
Factor 4*q**2 + 3*q + 6*q - 13*q - 6 - 2.
4*(q - 2)*(q + 1)
Let x(n) = -n**2 + n. Let r(p) = 2*p**2 - 2*p - 2. Let h(i) = 3*r(i) + 3*x(i). Factor h(l).
3*(l - 2)*(l + 1)
Let s(m) = -16*m**2 - 10*m + 10. Let l(q) = -5 + 4*q**2 + 3*q + 1 + q**2 + 1. Let p(y) = 10*l(y) + 3*s(y). Factor p(z).
2*z**2
Suppose -2*b + 4*b = -0*b. Let g(v) be the third derivative of -1/30*v**5 + 0*v**3 - 1/6*v**4 + 0*v + b - 3*v**2. Factor g(h).
-2*h*(h + 2)
Suppose 5*l - 4 = 11. Suppose -l*g + 10 = 2*g. Suppose 4/7*a**g + 0*a + 0 + 10/7*a**4 + 2*a**3 = 0. What is a?
-1, -2/5, 0
Let c(j) be the first derivative of -j**7/147 + j**6/140 + j**5/105 - 2*j**2 + 2. Let x(s) be the second derivative of c(s). Suppose x(d) = 0. Calculate d.
-2/5, 0, 1
Factor 0 - 1/4*z**2 + 3/4*z.
-z*(z - 3)/4
Suppose 13*y**3 - 8*y**4 + 2 - 10*y - 4*y**3 - 3*y**3 + 4*y**3 + 6*y**2 = 0. Calculate y.
-1, 1/4, 1
Factor 3*b - 8 - 25*b**3 + 26*b**2 + 5*b + 6*b**4 - 5*b + b.
(b - 2)**2*(2*b + 1)*(3*b - 2)
Let l(g) be the first derivative of -8/5*g - 49/10*g**4 + 24/5*g**2 - 14/5*g**3 + 6. Determine c, given that l(c) = 0.
-1, 2/7
Let b(t) be the second derivative of t**5/4 - 5*t**3/6 + 8*t. Factor b(p).
5*p*(p - 1)*(p + 1)
Suppose -d + 22 = 10*d. Suppose -4/3*k - d - 2/9*k**2 = 0. Calculate k.
-3
Let b(v) be the third derivative of 2*v**7/105 + v**6/30 - 4*v**5/15 - 2*v**4/3 - 25*v**2. Solve b(p) = 0.
-2, -1, 0, 2
Let f = 56 + -56. What is v in 1/2*v**5 + 3/2*v**3 + 1/2*v**2 + 3/2*v**4 + 0 + f*v = 0?
-1, 0
Let o(v) be the third derivative of 2*v**2 + 1/60*v**6 + 0*v**3 + 0*v + 1/105*v**7 + 0*v**4 - 1/30*v**5 + 0 - 1/168*v**8. Factor o(w).
-2*w**2*(w - 1)**2*(w + 1)
Let g(s) be the first derivative of 7 + s**2 - 2/3*s + 1/6*s**4 - 2/3*s**3. Let g(c) = 0. What is c?
1
Let w = -229/2 - -115. Let u(m) be the first derivative of 1/4*m + w*m**2 + 1/20*m**5 + 1/2*m**3 + 1/4*m**4 - 1. Determine c, given that u(c) = 0.
-1
Let b(g) be the first derivative of -g**6/14 + 3*g**5/5 - 3*g**4/2 + 2*g**3/7 + 45*g**2/14 - 27*g/7 + 44. Determine n so that b(n) = 0.
-1, 1, 3
Suppose -24 = -4*w - 4*m, 2*w = 4*w - 5*m - 5. Determine p, given that p**w - p**5 + p - p**5 - 2*p + 2*p**3 = 0.
-1, 0, 1
Let m(f) be the second derivative of f**7/21 - 2*f**6/15 - 3*f**5/10 + 2*f**4/3 + 4*f**3/3 - 4*f. Let m(n) = 0. Calculate n.
-1, 0, 2
Suppose s - 14 - 10*s**2 + 20*s**2 - 13*s - 8*s**2 = 0. Calculate s.
-1, 7
Let t be 3/1 + 3 + 0. Suppose 2*k + 3*x = -5, x - 15 = t*x. Let 0 - 1/3*l**4 - 1/3*l - l**3 - l**k = 0. What is l?
-1, 0
Let d(h) = -h**3 + 2*h**2 + 4*h + 3. Let w be d(-3). Let a be 10/w - 8/(-36). Find i, given that 1/2*i**2 + 0 - i**3 + 0*i + a*i**4 = 0.
0, 1
Find q such that 6*q**4 + 8*q**2 - 11*q**4 + 3*q**4 = 0.
-2, 0, 2
Let j(h) be the first derivative of -h**4/28 - h**3/21 + 4*h**2/7 + 12*h/7 - 21. Factor j(i).
-(i - 3)*(i + 2)**2/7
Let y(i) = 8*i**3 + 14*i**2 - 2*i - 5. Let x(c) = c**4 - 15*c**3 - 29*c**2 + 5*c + 11. Let w(r) = 3*x(r) + 7*y(r). Factor w(n).
(n + 1)**2*(n + 2)*(3*n - 1)
Let u = 63 - 63. Factor -1/2*x - 1/2*x**3 + u - x**2.
-x*(x + 1)**2/2
Let t = 7/32 - -1/32. Let l(z) be the first derivative of 1/4*z + 1/20*z**5 + 1/2*z**3 + 1/2*z**2 + 1 + t*z**4. Factor l(k).
(k + 1)**4/4
Let a(t) = -6*t**5 - 16*t**4 + 2*t**3 + 42*t**2 - 6*t - 16. Let b(z) = z**5 - z**3 - z**2 + z. Let c(n) = -a(n) - 10*b(n). Let c(k) = 0. Calculate k.
-1, 1, 4
Solve 2/3*t + 4/3*t**3 + 1/3 - 7/3*t**2 = 0 for t.
-1/4, 1
Let f be 3/2*(-24)/(-9). Factor 0*a**2 - 4*a**3 - f + 6*a**4 - 5*a**2 + a**2 + 6*a + 2 - 2*a**5.
-2*(a - 1)**4*(a + 1)
Let v = 40 + -37. Suppose -4*q + 2 = -v*q. Factor 4/11*o**5 - 2/11 + 4/11*o**q - 4/11*o + 16/11*o**3 + 14/11*o**4.
2*(o + 1)**4*(2*o - 1)/11
Let y = 3 - 0. Let q be (y/12)/(2/2). Factor -1/4*u**4 + 0 + 0*u + q*u**3 + 0*u**2.
-u**3*(u - 1)/4
Solve 1/3*y**3 + 0*y + 0 + 1/3*y**2 = 0.
-1, 0
Determine k, given that -k + 2*k - 6*k**2 + 3*k**3 - k**4 + 3*k**2 = 0.
0, 1
Suppose 4*z = 9 + 3. Suppose -5*f + z*f = -4. Solve 0*i - 2/3*i**3 + 0 + 2/3*i**f = 0.
0, 1
Suppose -2*z = -0*z - 6. What is g in 46 - 5*g**3 + g**z + 2*g + 2*g**5 - 46 = 0?
-1, 0, 1
Let x(a) be the first derivative of -a**4/26 - 4*a**3/39 + 4*a**2/13 + 16*a/13 + 13. Let x(v) = 0. Calculate v.
-2, 2
Let f(c) = c**3 + c + 11. Let d be f(0). Let g be 2 + -5 + d/3. Find b, given that 2*b**5 + g + 4*b**2 + 4/3*b**3 - 14/3*b**4 - 10/3*b = 0.
-1, 1/3, 1
Let l(u) = u**3 + 3*u**2 + 3*u + 2. Let y be l(-2). Suppose -4*h + 16 = h + 2*j, y = -2*j + 6. Factor f + 4*f - 2*f - h*f**2 - 5*f.
-2*f*(f + 1)
Let y(c) be the second derivative of -5*c**4/12 + 5*c**2/2 + 17*c. Factor y(o).
-5*(o - 1)*(o + 1)
Let n(p) be the first derivative of -p**5/35 - 3*p**4/7 - 18*p**3/7 - 54*p**2/7 - 81*p/7 + 5. Let n(i) = 0. What is i?
-3
Determine k so that -2/3*k + 2*k**3 - 1/3*k**2 + 0 = 0.
-1/2, 0, 2/3
Suppose -3*o + 2 = 2*q, 4*o - 2*q - q + 3 = 0. Suppose w + o*w = 2. Determine h so that 0*h - h + 6*h**w + 3*h + 2*h**4 + 6*h**3 = 0.
-1, 0
Let o(b) = b**3 + 7*b**2 + b + 9. Let c be o(-7). Let n(h) be the first derivative of 1/9*h**2 - 2/27*h**3 + 0*h + c. Factor n(i).
-2*i*(i - 1)/9
Determine v so that -2*v**3 + 7*v**3 + 2*v**4 + 3*v**4 = 0.
-1, 0
Let y be 4/((-16)/(-20)) + (-46)/12. Determine m, given that 1/3*m**2 - 1/3 - 7/6*m**3 + y*m = 0.
-1, 2/7, 1
Let g(d) be the third derivative of d**5/60 - d**4/4 + 3*d**3/2 - 15*d**2. Let g(m) = 0. Calculate m.
3
Let a(b) = 4*b**5 - b**4 - 4*b**2 + 4*b - 3. Let q(t) = -3*t**5 + t**3 + 4*t**2 - 4*t + 2. Let x(s) = 2*a(s) + 3*q(s). Factor x(r).
-r*(r - 1)**2*(r + 2)**2
Let k = 305/266 + -1/266. Let d = -5 - -5. Factor -8/7*g + k*g**2 + d - 2/7*g**3.
-2*g*(g - 2)**2/7
Let v(p) = 3*p + 39. Let u be v(-13). Let x(c) be the third derivative of u*c + 1/360*c**6 + 0*c**5 - 1/24*c**4 - c**2 + 1/9*c**3 + 0. Factor x(h).
(h - 1)**2*(h + 2)/3
Let g = 13/3 + -4. Let r(l) be the first derivative of g*l + 1 - 1/6*l**2 - 1/9*l**3 + 1/12*l**4. Factor r(j).
(j - 1)**2*(j + 1)/3
Let a = -6 + 10. Let d(c) be the first derivative of 1/21*c**6 - 8/21*c**3 - 2 + 0*c - 8/35*c**5 + 3/7*c**a + 1/7*c**2. Solve d(z) = 0 for z.
0, 1
Let o(r) be the first derivative of r**5/5 - 5*r**4/4 + r**3 + 5*r**2/2 - 4*r - 9. Let o(t) = 0. What is t?
-1, 1, 4
Let t be 1/(-2)*58/(-87). Solve 0 - 2/3*i**2 - 1/3*i - t*i**3 = 0.
-1, 0
Let f(b) be the third derivative of -b**5/60 + b**4/24 - b**3/24 + b**2. Find o, given that f(o) = 0.
1/2
Determine i, given that -4/13*i + 0*i**3 + 6/13*i**2 - 2/13*i**4 + 0 = 0.
-2, 0, 1
Let f(i) be the first derivative of -2/21*i**3 + 0*i + 0*i**4 - 10 + 2/35*i**5 + 0*i**2. Let f(r) = 0. What is r?
-1, 0, 1
Let f(c) = -c**2 + 2*c + 2. Let q(s) = -2*s**2 + 3*s + 5. Let v(m) = 5*f(m) - 2*q(m). Facto