 + 6*f**3 + 0*f = 0.
-1, 0, 1
Let l(v) be the third derivative of -v**5/15 + 2*v**4/3 - 2*v**3 + 11*v**2. Factor l(a).
-4*(a - 3)*(a - 1)
Let j = -4 - 3. Let a = j + 9. Factor -a - 4*x**4 + 2 - 2*x**3 - 2*x**5 + 9*x**4.
-x**3*(x - 2)*(2*x - 1)
Let w = 3/176 - -25/3696. Let k(o) be the second derivative of 0*o**3 - 1/20*o**5 + 3*o + 0 + 0*o**6 + 0*o**2 + 0*o**4 + w*o**7. Factor k(m).
m**3*(m - 1)*(m + 1)
Let z = 13 + -25/2. Suppose -1/4*q**3 - z - q**2 - 5/4*q = 0. What is q?
-2, -1
Let o(p) = -p**2 + p - 2*p**2 - p**5 + 2*p**2. Let m(v) = 3*v**5 + 6*v**4 - 2*v**3 - v**2 - v. Let a(x) = m(x) + 5*o(x). Solve a(l) = 0.
-1, 0, 1, 2
Let a be (16/(-160))/(1 - 10/8). Factor -a + 4/5*p - 2/5*p**2.
-2*(p - 1)**2/5
Let z be (-1)/((-18)/(-15) - 1). Let f(u) = -u - 3. Let n be f(z). Let -3*p**4 - 2*p**5 + 2*p**3 + 5*p**4 - n*p**2 + 0*p**3 = 0. What is p?
-1, 0, 1
Let w(v) = 7*v**4 + 13*v**3 + 7*v**2 - 9. Let d(j) = 3*j**4 + 6*j**3 + 3*j**2 - 4. Let x(a) = -9*d(a) + 4*w(a). Factor x(c).
c**2*(c - 1)**2
Let x = -62 - -64. Factor 0 + 0*a + 3/2*a**3 + 3/2*a**x.
3*a**2*(a + 1)/2
Let x = -46 - -48. What is f in 0 - 6/5*f**3 + 0*f + 4/5*f**x = 0?
0, 2/3
Let y(r) = -r**2 - 7*r + 10. Let t be y(-8). Factor 0 - 1 - j + 0*j**3 + j**3 + j**t + 0.
(j - 1)*(j + 1)**2
Let a(j) be the first derivative of -1/9*j**2 - 8/27*j**3 + 2 - 1/27*j**6 + 0*j - 1/3*j**4 - 8/45*j**5. Suppose a(g) = 0. Calculate g.
-1, 0
Let j be (1 - 0)/1*5. Let m(p) be the third derivative of 1/105*p**j + 0 + p**2 + 0*p**4 + 0*p**3 + 0*p - 1/60*p**6. Suppose m(v) = 0. Calculate v.
0, 2/7
Let l(r) = -2*r + 6. Let f be l(3). Factor 1/3*d**5 + 0 - 1/3*d + 2/3*d**2 + f*d**3 - 2/3*d**4.
d*(d - 1)**3*(d + 1)/3
Let z be 0/2 - (-48)/6 - 3. Find i, given that 7/4*i**4 + 1/2*i**z + 1/4*i + 9/4*i**3 + 5/4*i**2 + 0 = 0.
-1, -1/2, 0
Let j be 56/20*35/21. Factor 0 + j*f**2 - 4/3*f.
2*f*(7*f - 2)/3
Let c(s) be the third derivative of 0*s**3 + 1/24*s**4 + 10*s**2 + 1/120*s**5 + 0*s + 0. Find b, given that c(b) = 0.
-2, 0
Let z(t) = 60*t**3 + 204*t**2 + 181*t + 37. Let k(d) = -20*d**3 - 68*d**2 - 60*d - 12. Let m(q) = 11*k(q) + 4*z(q). Suppose m(c) = 0. What is c?
-2, -1, -2/5
Suppose -2*j + 4*b + 6 = 2*b, 4*j - 2*b - 10 = 0. Suppose -g - k = -4, -3*k + 0 - 8 = -2*g. Let 3*p**3 - g - j*p + 4*p**2 - p**3 + 0 = 0. What is p?
-2, -1, 1
Let f be ((-21)/(-14))/(6/8). Factor 0 + 1 + 2*g**2 - 1 + f*g**3.
2*g**2*(g + 1)
Let q be (4/14)/((-7)/(-49)). Find y, given that q*y**3 + 6*y**2 - 2*y - 4*y + 2*y**2 - 4*y**2 = 0.
-3, 0, 1
Suppose 2*q + 8 = -4*n, 3*q = -2*n + 4*q + 4. Factor 2/9*p + 2/9*p**2 + n.
2*p*(p + 1)/9
Factor -1/4*v**4 - 1/2*v**3 + 1/4 + 0*v**2 + 1/2*v.
-(v - 1)*(v + 1)**3/4
Let h = 536/7 + -76. Suppose 0*j**2 + 2/7 + 4/7*j**3 - 2/7*j**4 - h*j = 0. What is j?
-1, 1
Let g be 1 - 0 - ((2 - 11) + 7). Let t(h) be the second derivative of 1/105*h**7 + 1/75*h**6 + 2*h - 1/30*h**4 + 0*h**2 + 0*h**g - 1/50*h**5 + 0. Factor t(v).
2*v**2*(v - 1)*(v + 1)**2/5
Suppose 2*w = 14*w. Let j(q) be the first derivative of 16/15*q**3 + 6/25*q**5 + w*q + 11/10*q**4 - 4/5*q**2 + 2. What is h in j(h) = 0?
-2, 0, 1/3
Let s = 57 - 54. Let a(d) be the first derivative of -s - 3/5*d**2 + 4/5*d - 2/3*d**3. Determine j so that a(j) = 0.
-1, 2/5
Let i(l) be the first derivative of 0*l - 2/3*l**3 + 3/4*l**4 + 0*l**2 + 5 - 1/5*l**5. Factor i(w).
-w**2*(w - 2)*(w - 1)
Factor 1/2 + 1/4*c**2 + 3/4*c.
(c + 1)*(c + 2)/4
Let y(a) be the second derivative of a**6/300 + a**5/40 + a**4/40 - a**3/12 - a**2/5 - 12*a. Determine l so that y(l) = 0.
-4, -1, 1
Let o(l) be the second derivative of l**6/240 - l**5/60 + l**2/2 - l. Let i(f) be the first derivative of o(f). Determine y so that i(y) = 0.
0, 2
Let a be 4/8*28/42. Solve -2/3*w + 1 + 2/3*w**3 + a*w**4 - 4/3*w**2 = 0.
-3, -1, 1
Let s(u) = -1 - 2 + 4 - 2 - 2*u. Let d be s(-3). Factor 0*k**3 + 0*k + 0 + 0*k**2 + 1/3*k**d + 1/3*k**4.
k**4*(k + 1)/3
Let h(k) be the third derivative of -k**10/453600 + k**9/181440 - k**5/12 + 3*k**2. Let b(t) be the third derivative of h(t). Find l, given that b(l) = 0.
0, 1
Let n(y) = 9*y**2 - 5*y + 1. Let g(o) = o**2 + 8*o + 7. Let l be g(-5). Let c(j) = -14*j**2 + 8*j - 2. Let p = 6 + -11. Let f(x) = l*n(x) + p*c(x). Factor f(s).
-2*(s - 1)*(s + 1)
Let z(q) be the first derivative of -1/4*q**2 + 2 + 1/10*q**5 + q + 1/8*q**4 - 1/2*q**3. Factor z(l).
(l - 1)**2*(l + 1)*(l + 2)/2
Let n = 16 - 23. Let f be (1 - n/(-4))*-13. Determine a, given that 0*a**2 - f*a**3 + a - 35/4*a**4 + 0 = 0.
-1, -2/5, 0, 2/7
Let 2/3*c**3 + 2/3*c**2 - 4/3*c + 0 = 0. Calculate c.
-2, 0, 1
Let h be 4/(-8)*-8 + -1. Let p(a) be the third derivative of 0 + 1/300*a**6 + 1/60*a**4 + 1/75*a**5 + a**2 + 0*a + 0*a**h. Let p(r) = 0. What is r?
-1, 0
Let i = 900 - 898. Factor 4/13*k**4 + 16/13*k**3 - 32/13*k**i - 2/13*k**5 - 32/13*k + 64/13.
-2*(k - 2)**3*(k + 2)**2/13
Let q(a) be the second derivative of -2*a**7/7 - 22*a**6/15 - 3*a**5 - 3*a**4 - 4*a**3/3 + 16*a. Factor q(y).
-4*y*(y + 1)**3*(3*y + 2)
Let s be (-2)/(-120)*3*85/34. Suppose 1/4*g - 1/8 - s*g**2 = 0. Calculate g.
1
Let z(c) = -c**2 - c - 1. Let u(p) = 7*p**2 - 17*p + 22. Let n(g) = u(g) + 4*z(g). Factor n(m).
3*(m - 6)*(m - 1)
Let c(l) = 5*l**5 - 5*l**4 - 6*l + 6. Let o = 5 - 4. Let k(a) = -a**5 + a**4 + a - 1. Let g(t) = o*c(t) + 6*k(t). Factor g(n).
-n**4*(n - 1)
Suppose -2*s = 2*s. Suppose 4*g = i - 4*i + 6, s = -2*i - 3*g + 4. Factor r**2 + 2*r**i - r**2.
2*r**2
Let a(k) = -2*k - 19. Let v be a(-8). Let c be v/(-6) + 9/(-30). Solve -2/5 - c*o**2 + 3/5*o = 0.
1, 2
Let a(v) = -30*v**3 + 5*v**2 + 40*v + 25. Let h(m) = -m**5 + m**4 - 31*m**3 + 5*m**2 + 40*m + 26. Let p(w) = -6*a(w) + 5*h(w). Let p(n) = 0. What is n?
-1, 2
Let y(w) be the second derivative of 1/16*w**4 + 3/16*w**2 + 0*w**5 - 1/240*w**6 - 1/6*w**3 + 0 + 9*w. Factor y(k).
-(k - 1)**3*(k + 3)/8
Let x = -11 - -12. Solve -x + m - 1/4*m**2 = 0 for m.
2
Let g(h) = 4*h**4 + h**3 - h**2 + 2*h. Let w(x) = -x**4 + x**2. Let z(s) = -2*s + 4. Let k be z(-3). Let o = -9 + k. Let m(q) = o*g(q) + 6*w(q). Factor m(f).
-f*(f - 2)*(f + 1)*(2*f + 1)
Let t(p) = p**2 - p. Let j be t(1). Suppose -2*g + 2 + 8 = j. Factor 9*l**2 - g*l**2 - 2*l**3 - 10*l**4 - 4*l**3.
-2*l**2*(l + 1)*(5*l - 2)
Let c = -2 - -8. Factor -7*z + 3*z**3 - c*z - 3*z**4 + 3*z**2 + 10*z.
-3*z*(z - 1)**2*(z + 1)
Let d(t) be the first derivative of 1/2*t**6 + 0*t**2 + 2*t**3 - 9/4*t**4 + 0*t + 5 + 0*t**5. Determine f, given that d(f) = 0.
-2, 0, 1
Let v(n) = n**3 + 12*n**2 + 11*n + 3. Let x be v(-11). Find m, given that m**3 + 3*m**2 + 12*m - 5*m**3 - 4 - 8*m**3 + 2*m**x + 3*m**4 = 0.
-1, 1/3, 2
Let m(w) = 7*w**4 - 3*w**3 + 8*w**2 + 6. Let z(j) = 8*j**4 - 3*j**3 + 9*j**2 + 7. Let i(u) = 7*m(u) - 6*z(u). Determine q so that i(q) = 0.
0, 1, 2
Let -77*c**2 - 51*c - 19*c + 72*c**2 - 245 = 0. What is c?
-7
Let w(t) = -t**3 + 9*t**2 + 10*t + 6. Let y be w(10). Factor -k**2 + 21*k**3 - 6 + y*k**2 + k**2 - 21*k.
3*(k - 1)*(k + 1)*(7*k + 2)
Suppose -10 = -4*j - j. Solve 0*f**j + f**5 - f**3 + 0*f**3 + f**2 - f**4 = 0.
-1, 0, 1
Suppose -2*x + 6 + 2 = 0. Let b(h) be the first derivative of 1/5*h - 1/15*h**3 - 1/20*h**4 + x + 1/10*h**2. Find y, given that b(y) = 0.
-1, 1
Suppose -4 = -0*o - 2*o. Solve -2*t + 11*t - o*t**2 - t - 8 = 0 for t.
2
Suppose -2*w - 3 = 4*y + 5, 3*w = 2*y + 20. Factor 2*x**3 - 76*x + 76*x + w*x**2.
2*x**2*(x + 2)
Let x be (0 - -1) + (-1150)/(-7). Let v = x - 165. What is j in -v*j + 0 - 2/7*j**2 = 0?
-1, 0
Let r = -11 - -11. Suppose r = -w - 2*w. What is s in 0*s**3 + 0 + 1/4*s**2 + w*s - 1/4*s**4 = 0?
-1, 0, 1
Suppose 4*p - 5*p = 0. Solve 18 - l**2 + p*l**2 - 3*l + 3*l**2 - 9*l = 0.
3
Factor 1/3*y**3 + 0*y - y**2 + 4/3.
(y - 2)**2*(y + 1)/3
Factor 160*j + 84*j**2 - 89*j**2 + 20*j - 210 - 1410.
-5*(j - 18)**2
Let y = 7/4 - 55/36. Factor -2/3*u**2 + 2/3*u**3 - y*u**4 + 2/9*u + 0.
-2*u*(u - 1)**3/9
Let u(z) be the third derivative of z**7/70 - z**6/10 + 3*z**5/10 - z**4/2 + z**3/2 - 17*z**2. Find d, given that u(d) = 0.
1
Let y(l) = -3*l**4 - 24*l**3 + 6*l**2 + 9. Let o(z) = z**4 - z**3 + z**2 + 1. Let c(b) = -9*o(b) + y(b). Suppose c(j) = 0. What is j?
-1, -1/4, 0
Let n(o) be the first derivative of o**6/12 + 3*o**5/10 + o**4/4 - o**3/3 - 3*o**2/4 - o/2 - 10. What is v in n(v) = 0?
-1, 1
Let h be (-4)/6 + 8/6. Let