*6 - 9*i**5 + 35*i**4 - 20*i**3/3 + 11. Suppose g(v) = 0. Calculate v.
-1/2, 0, 2/9
Let z be (-8)/28 - 75/(-42). Factor 3*u + 3/2 + z*u**2.
3*(u + 1)**2/2
What is m in 2/3*m**4 + 14/9*m**3 + 1/9*m**5 + 16/9*m**2 + 2/9 + m = 0?
-2, -1
Factor 95*d**4 - 32*d + 16*d - 16*d + 97*d**2 - 25*d**5 + 4 - 139*d**3.
-(d - 1)**3*(5*d - 2)**2
Factor 0*c - 6/5*c**3 + 2/5*c**5 + 0*c**2 + 4/5*c**4 + 0.
2*c**3*(c - 1)*(c + 3)/5
Let j(w) be the third derivative of -w**6/90 + w**5/15 - 8*w**3/9 - 8*w**2. Solve j(u) = 0.
-1, 2
Let u(z) be the second derivative of -z**9/3024 - z**8/560 - z**7/420 - z**3/2 + 4*z. Let i(a) be the second derivative of u(a). Factor i(n).
-n**3*(n + 1)*(n + 2)
Find d such that 0 + 0*d**4 - 2/7*d + 4/7*d**3 + 0*d**2 - 2/7*d**5 = 0.
-1, 0, 1
Solve -14*y - 4*y**2 + 19*y**2 + 2*y**5 - 4*y**4 + 4 - 4*y**3 + y**2 = 0.
-2, 1
Let l(h) be the third derivative of h**5/120 - 13*h**4/192 + h**3/16 + 24*h**2. Factor l(y).
(y - 3)*(4*y - 1)/8
Let m(w) be the second derivative of w**5/5 - 2*w**3 + 4*w**2 + 4*w. Let m(z) = 0. Calculate z.
-2, 1
Let w be (-2 - (0 + -2)) + (7 - 5). Factor 1/2*i**w + 1/2*i - 1.
(i - 1)*(i + 2)/2
Let u(j) be the first derivative of -2*j**3/3 + 3*j**2 - 4*j - 8. Factor u(a).
-2*(a - 2)*(a - 1)
Let y(v) = -v**5 - v**4 + v**3 + v**2 - v. Let j(l) = 3*l**5 + 6*l**4 - 2*l**3 - 2*l**2 + 2*l. Let w(p) = -j(p) - 2*y(p). Factor w(r).
-r**4*(r + 4)
Let a = 529/204 - -5/68. Let j be 1 + -3 - (-20)/5. Find c, given that -j*c**2 - 2/3*c + 0 + a*c**3 = 0.
-1/4, 0, 1
Let d(b) be the second derivative of -b**7/14 + b**6/10 + 3*b**5/10 - b**4/2 - b**3/2 + 3*b**2/2 - 5*b. Factor d(j).
-3*(j - 1)**3*(j + 1)**2
Let i(k) be the third derivative of -k**6/240 + k**5/40 - k**4/16 - k**3/3 - k**2. Let r(n) be the first derivative of i(n). Determine l, given that r(l) = 0.
1
Let w(g) be the first derivative of -g**5/5 + g**4/2 - g**3/3 + 1. Factor w(f).
-f**2*(f - 1)**2
Let j = -18 - -20. Factor -8*o**j - 77/4*o**3 - o + 0 - 49/4*o**4.
-o*(o + 1)*(7*o + 2)**2/4
Suppose -36 = -4*a + 2*s, 7 = -a - 5*s - 6. Let d = 10 - a. What is t in 2/7 + 2/7*t - 2/7*t**d - 2/7*t**2 = 0?
-1, 1
Let j(g) be the second derivative of -g**4 + 14*g**3/3 + 12*g**2 - g. Factor j(c).
-4*(c - 3)*(3*c + 2)
Let y be (0 - 1)*2/(-10). Factor -3/5*m**2 - 3/5*m - 1/5 - y*m**3.
-(m + 1)**3/5
Let a(x) be the first derivative of -1 - 2/3*x**3 + 0*x**2 + 0*x. Let a(i) = 0. Calculate i.
0
Factor 21*c + 0 - 26*c - 3 + 7*c**2 + 1.
(c - 1)*(7*c + 2)
Let r = -38/11 + 212/55. Factor -r + 0*u + 2/5*u**2.
2*(u - 1)*(u + 1)/5
Let c(x) = 13*x**3 - 24*x**2 + 48*x - 32. Let i(s) = -3*s**3 + 6*s**2 - 12*s + 8. Let v(w) = 2*c(w) + 9*i(w). Factor v(h).
-(h - 2)**3
Suppose 0*k**2 + 168*k + 0*k**2 + 3*k**2 + k**2 + 1764 = 0. Calculate k.
-21
Let q(r) be the first derivative of 2/5*r**5 - 1/6*r**6 + 6 - 2/3*r**3 + 1/2*r**2 + 0*r**4 + 0*r. Factor q(u).
-u*(u - 1)**3*(u + 1)
Let d(f) be the third derivative of f**8/224 - 17*f**7/420 + f**6/8 - f**5/10 - f**4/6 + 17*f**2. Let d(b) = 0. What is b?
-1/3, 0, 2
Let o be 20/(16/4) - 3. Factor -5*c**2 - 4*c**3 + 3*c + c + 3*c**2 + 2*c**4 + 0*c**o.
2*c*(c - 2)*(c - 1)*(c + 1)
Let w(u) = 3*u + 2. Let g(l) = l**2 - 7*l - 5. Let o(z) = 2*g(z) + 5*w(z). Determine h so that o(h) = 0.
-1/2, 0
Let u(o) be the second derivative of 0*o**3 + 0 - 1/12*o**4 - 1/30*o**6 + 1/10*o**5 + 4*o + 0*o**2. Let u(j) = 0. Calculate j.
0, 1
Let x(v) = -2*v**3 + 7*v**2 + 2*v + 3. Let m(k) = -k**3 + 3*k**2 + k + 1. Let o(l) = -2*l - 15. Let j be o(-10). Let u(f) = j*m(f) - 2*x(f). Factor u(r).
-(r - 1)**2*(r + 1)
Let z be ((-2)/84)/((-2)/8). Let y(h) be the first derivative of 1 + 0*h + z*h**3 + 1/7*h**2. Let y(l) = 0. Calculate l.
-1, 0
Let s = -1048/7 - -150. Factor -16/7 + 20/7*j**2 + s*j**3 - 8/7*j - 8/7*j**4 + 2/7*j**5.
2*(j - 2)**3*(j + 1)**2/7
Let a(c) be the second derivative of -3*c**5/40 + c**4/4 - 9*c. Factor a(y).
-3*y**2*(y - 2)/2
Suppose t = -2*t + 108. Factor -116*l**2 + 66*l**2 - 4*l - t*l - 8.
-2*(5*l + 2)**2
Let j(d) be the first derivative of 4/5*d**5 + 8*d + 1 - 2*d**2 - 4*d**3 + d**4. Determine u, given that j(u) = 0.
-2, -1, 1
Let l(s) be the third derivative of -s**5/150 - s**4/20 - 9*s**2. Factor l(i).
-2*i*(i + 3)/5
Let y be (-4)/14*35/(-15). Suppose 0 = 4*l + 4*i + 12, -i - 10 = i. Find w such that -w**5 - 2/3*w**l + 0 + 4/3*w**3 - 1/3*w + y*w**4 = 0.
-1, -1/3, 0, 1
Let z(t) = 20*t**4 - 22*t**3 + 2*t**2 - 22*t + 22. Let j(m) = 4*m**2 + m**3 - 130*m**4 + m - 1 + 129*m**4 - 4*m**2. Let h(d) = -44*j(d) - 2*z(d). Factor h(q).
4*q**2*(q - 1)*(q + 1)
Let j be (1 - -1)/((315/(-10))/(-9)). Factor 6/7*l + 2/7*l**2 + j.
2*(l + 1)*(l + 2)/7
Let l = -7 + -1. Let q be l/6*(-12)/8. Factor 10*i + 8*i**q - 1 - 3 + 6*i**2.
2*(i + 1)*(7*i - 2)
Let l be ((-4)/(-8))/((-2)/(-108)). Factor -l*o - 4*o**2 + 19*o + 0*o**4 + 8*o**3 + 4*o**4.
4*o*(o - 1)*(o + 1)*(o + 2)
Let i(s) be the third derivative of s**5/12 - 5*s**4/8 + 12*s**2. Factor i(z).
5*z*(z - 3)
Let b be 0*3/18*3. Suppose 3*v = -b*v + 12. What is n in -2*n**v + 3 + 4*n**2 + 1 - 6 = 0?
-1, 1
Let k(s) = -2*s + 86. Let p be k(43). Solve -1/4*f + p - 1/4*f**2 = 0.
-1, 0
Suppose -4*a - 11 = -3. Let m be -3*(-1 - 0) + a. Let 5/2*f + m - 7/2*f**2 = 0. Calculate f.
-2/7, 1
Suppose -4 = k + n + 13, -4*k + 5*n - 23 = 0. Let t be (2/3)/((-2)/k). Factor -4*m**2 + 3*m**2 - m**2 - 2 - t*m.
-2*(m + 1)**2
Let s(k) = k**2 - k + 1. Let g(w) = -4*w**2 + 8*w - 9. Let v(b) = -g(b) - 5*s(b). Factor v(o).
-(o - 1)*(o + 4)
Let x(l) be the second derivative of -2*l**7/21 - 2*l**6/3 - 8*l**5/5 - 4*l**4/3 - 19*l - 1. Factor x(n).
-4*n**2*(n + 1)*(n + 2)**2
Factor 2/3*v**3 + 4/3*v - 1/3 - 5/3*v**2.
(v - 1)**2*(2*v - 1)/3
Let d(i) be the first derivative of 0*i + 0*i**3 - 2/15*i**5 + 1/3*i**6 + 1 + 0*i**2 + 0*i**4. Solve d(v) = 0.
0, 1/3
Let r(o) be the third derivative of 0 + 0*o + 1/40*o**6 + 1/20*o**5 - 8*o**2 + 0*o**3 + 1/24*o**4 + 1/210*o**7. Factor r(h).
h*(h + 1)**3
Let n be (-26)/(-4) - (-1)/(-2). Let u = 21 + -19. Let -2*p + 6 + 2*p**u + 2 - n*p = 0. Calculate p.
2
Let o be (-4)/3*18/4. Let q be (-2 + 1)*2/o. Factor q*p**2 - 1/3*p + 0.
p*(p - 1)/3
Suppose -6*o = -18 - 12. Solve 0 + 2*l**3 + 2/3*l**o + 0*l - 2*l**4 - 2/3*l**2 = 0.
0, 1
Let o = 954 + -4766/5. Factor 0*t + 2/5*t**4 + o*t**3 + 0 - 6/5*t**2.
2*t**2*(t - 1)*(t + 3)/5
Let o(c) be the first derivative of c**7/4200 - c**5/200 + c**4/60 + c**3/3 + 5. Let x(b) be the third derivative of o(b). Find a such that x(a) = 0.
-2, 1
Let w be (-14 + 12)/(2/(-4)). Solve -12*a**4 - 2*a**5 + 4*a**w + 4*a**3 + 6*a**5 = 0 for a.
0, 1
Let z(f) be the third derivative of -1/210*f**7 - 1/24*f**6 + 0 - 3/20*f**5 - 7/24*f**4 - 1/3*f**3 + 2*f**2 + 0*f. Let z(k) = 0. Calculate k.
-2, -1
Solve 1/2*c**2 - 1/6*c - 1/3 + 1/6*c**3 - 1/6*c**4 = 0 for c.
-1, 1, 2
Let l(s) be the first derivative of -2*s**5/5 + 13*s**4/10 - 6*s**3/5 - s**2/5 + 4*s/5 - 2. Find n, given that l(n) = 0.
-2/5, 1
Suppose -14 = -4*b + 2*f, 3*b + b + 5*f + 7 = 0. Let l(r) be the first derivative of 21*r**3 + 49/8*r**4 + 4*r + 15*r**b + 4. Factor l(y).
(y + 2)*(7*y + 2)**2/2
Let l(o) be the second derivative of 1/80*o**5 + 0*o**3 - 1/168*o**7 + 0 - 3*o + 1/48*o**4 + 0*o**2 - 1/120*o**6. Factor l(i).
-i**2*(i - 1)*(i + 1)**2/4
Suppose -2*f + 3 = -11. Let p(s) = -s**3 + 7*s**2 + s - 3. Let r be p(f). Solve 12*i**2 - 8*i**3 - 8*i + 4*i**4 - 2*i**4 - 2 + r = 0 for i.
1
Let z(c) be the second derivative of -c**4/12 + c**3/6 + c**2/2 + 2*c. Let q(h) = -8*h**2 + 14. Let a(i) = 2*q(i) - 12*z(i). Factor a(l).
-4*(l - 1)*(l + 4)
Factor -7*b**2 + 8*b - 4*b + 3*b**2.
-4*b*(b - 1)
Suppose -5*f = -9*f + 208. Let y = 160/3 - f. Factor 0 - 2/3*t**2 - y*t.
-2*t*(t + 2)/3
Let f(p) be the second derivative of -p**7/7560 - p**6/720 - p**5/180 - p**4/12 + 6*p. Let c(i) be the third derivative of f(i). Suppose c(t) = 0. Calculate t.
-2, -1
Suppose 0*n**3 + 12*n**4 + 2 - 16*n**2 - 8*n**5 + 5 + 8*n**3 - 3 = 0. Calculate n.
-1, -1/2, 1
Let q = 10 - 7. Let v = 678 - 678. Determine j, given that -2/9*j**q + 2/9*j**4 + 0 + 0*j + v*j**2 = 0.
0, 1
Let t(x) be the first derivative of x**8/560 + x**7/140 + x**6/120 - x**3/3 + 5. Let p(l) be the third derivative of t(l). Solve p(u) = 0.
-1, 0
What is g in 192*g**2 - 66*g - 78*g**3 - 30*g - 4*g**4 + 13*g**4 = 0?
0, 2/3, 4