 + 1)**2
Let z be ((0/6)/(-11))/(-1). Solve -4/13*b - 6/13*b**2 + z - 2/13*b**3 = 0 for b.
-2, -1, 0
Let c(h) be the first derivative of -2*h**5/5 + 2*h**4 - 4*h**3/3 - 4*h**2 + 6*h - 65. Suppose c(t) = 0. What is t?
-1, 1, 3
Let l be 8/(-272)*-17*0/2. Find h such that 20/3*h**3 + l + 5/3*h**4 + 25/3*h**2 + 10/3*h = 0.
-2, -1, 0
Let f be ((-116)/36 + (-4)/(-18))*-42. Let x be ((-49)/f)/((-1)/(-3))*-2. Factor -5/3*y**3 + 1/3*y**4 + 2/3 + 3*y**2 - x*y.
(y - 2)*(y - 1)**3/3
Let r(j) = -5*j**3 + 805*j**2 - 32788*j + 31991. Let n(x) = 5*x**3 - 805*x**2 + 32792*x - 31994. Let m(o) = 3*n(o) + 2*r(o). Let m(u) = 0. Calculate u.
1, 80
Factor -1/2*b**2 + 17/2*b - 8.
-(b - 16)*(b - 1)/2
Let l be 3*-1*(-4 + 3). Let z(m) be the second derivative of 1/3*m**3 + 1/12*m**4 + 0 + 0*m**2 + l*m. Let z(k) = 0. Calculate k.
-2, 0
Let w(l) = -l**3 + 15*l**2 - 24*l - 24. Let u be w(13). Solve -39*c + 2 - 4*c**u + 2*c**4 + 39*c = 0 for c.
-1, 1
Let n be (18/(-35))/((-35)/((-7840)/(-48))). Let -n*s**2 + 8/5 - 12/5*s + 8/5*s**3 = 0. What is s?
-1, 1/2, 2
Factor 4*l**3 + 0*l - 2/3*l**4 - 16/3*l**2 + 0.
-2*l**2*(l - 4)*(l - 2)/3
Let g be -1 + (-68)/(-10) + 175/(-35). Determine p so that 4/5*p**4 + 1/5*p + 6/5*p**3 + 0 + 1/5*p**5 + g*p**2 = 0.
-1, 0
Let r(a) be the third derivative of -a**5/150 - 3*a**4/2 - 14*a**2 + 13. Factor r(t).
-2*t*(t + 90)/5
Let x be (-1224)/216 - (-6 + 0). Factor -x*m**4 - 1/3*m**3 + 0 + 0*m**2 + 0*m.
-m**3*(m + 1)/3
Let d(j) be the first derivative of 0*j + j**5 + 19 + 4/3*j**3 + 0*j**2 - 3*j**4. Factor d(g).
g**2*(g - 2)*(5*g - 2)
Factor 5*n**2 - 422*n - 144400 - 1098*n - 7*n**2 + 0*n**2 - 2*n**2.
-4*(n + 190)**2
Let z be ((-4)/12)/(1/(-3))*2. Let q(m) be the third derivative of -1/210*m**5 - 7*m**z + 1/21*m**3 + 0*m**4 + 0*m + 0. What is s in q(s) = 0?
-1, 1
Suppose -12*r + 0 + 16 = -32. Factor 0 - 2/3*v**2 + 2/3*v**r + 1/3*v**5 + 0*v - 1/3*v**3.
v**2*(v - 1)*(v + 1)*(v + 2)/3
Suppose 7*v + 51 = 65. Suppose 4*k + v = 2*g, 4*g - 5*g + 5*k = 2. Factor -2/3*a**2 + 2/3*a + 2/3 - 2/3*a**g.
-2*(a - 1)*(a + 1)**2/3
Let f(m) = -m**3 + m**2 + 2*m + 3. Suppose -5*g = j + 16, -3*g + 8 = 3*j + 2*j. Let y(v) = -2*v**2 - 2*v - 2. Let d(k) = j*f(k) + 6*y(k). Factor d(i).
-4*i*(i + 1)**2
Let h(r) be the third derivative of r**5/30 + r**4/6 - 107*r**2. Let h(o) = 0. What is o?
-2, 0
Let n(l) be the first derivative of 10*l**3 - 25*l**2/2 - 5*l - 22. Factor n(f).
5*(f - 1)*(6*f + 1)
Let u(r) = -3*r**4 + 9*r**3 + 10*r**2 - 28*r. Let y(b) = -16*b**4 + 46*b**3 + 53*b**2 - 140*b. Let i(l) = -33*u(l) + 6*y(l). Determine d, given that i(d) = 0.
-2, 0, 2, 7
Let h(u) be the first derivative of 9 + 2/5*u**5 + 0*u**4 + 0*u + 0*u**3 + 0*u**2. Suppose h(l) = 0. Calculate l.
0
Let l be (72/(-16))/(2/(-11)). Let z = l + -293/12. What is s in 1/3*s + 0 - 1/3*s**4 - z*s**3 + 1/3*s**2 = 0?
-1, 0, 1
Let m(k) = -k**2 + 75*k + 154. Let z be m(-2). Let y(q) be the third derivative of 2*q**3 - 7*q**2 - 1/5*q**5 + z*q + 1/6*q**4 - 1/30*q**6 + 0. Factor y(n).
-4*(n - 1)*(n + 1)*(n + 3)
Let s(u) = u**4 + 40*u**3 - 68*u**2 - 6. Let z(r) = -10*r**4 - 360*r**3 + 610*r**2 + 55. Let l(t) = 55*s(t) + 6*z(t). Factor l(g).
-5*g**2*(g - 4)**2
Suppose -4*k + 2*a = -44, -3*k = 2*a - 26 - 21. Suppose 0 = -8*v + 3 + k. Solve 3/4 - 5/4*l**v - 1/2*l = 0.
-1, 3/5
Let 8*l**2 - 426*l + 852*l + 4*l**3 - 422*l = 0. Calculate l.
-1, 0
Let b(p) be the third derivative of p**6/540 - p**5/18 + 25*p**4/36 - 125*p**3/27 - 4*p**2. Factor b(t).
2*(t - 5)**3/9
Let q = -11320/9 - -1258. Factor -q*n**3 - 2/3*n - 2/3*n**2 - 2/9.
-2*(n + 1)**3/9
Let r be 682/9 + (-4)/(-18). Solve -5 - 3*z + r*z**2 - 66*z**2 + 4*z + 4*z = 0 for z.
-1, 1/2
Let s = 9822 - 68727/7. Find c such that 6/7*c - s*c**5 - 27/7*c**2 + 27/7*c**4 + 0 + 3*c**3 = 0.
-1, 0, 1/3, 2/3, 1
Suppose -2*p**2 - 11*p**2 + 8*p**2 - 85*p = 0. What is p?
-17, 0
Let g(j) be the third derivative of -7*j**8/24 - 22*j**7/15 - 37*j**6/60 + 22*j**5/5 - 3*j**4 + 17*j**2. Let g(b) = 0. Calculate b.
-2, 0, 3/7
Let l(g) = -3*g**3 - 8*g**2 + 4. Let c(z) = -4*z**3 - 9*z**2 + 5. Let s(n) = -4*c(n) + 5*l(n). Suppose s(p) = 0. Calculate p.
0, 4
Factor 2 + 27*m - m**2 + 31*m**2 + 24 - 26 + 3*m**3.
3*m*(m + 1)*(m + 9)
Suppose 0 = l - 2*l + 5. Suppose l*r = -5*i, -4*r + i + 24 = -3*i. Factor -3/2*p**5 - 6*p**4 - 3/2*p - 9*p**r - 6*p**2 + 0.
-3*p*(p + 1)**4/2
Let l(n) = 2*n - 9. Let o be l(8). Suppose -5*u - o*u = 0. Let -4/7*f + 0 + u*f**3 - 2/7*f**4 + 6/7*f**2 = 0. Calculate f.
-2, 0, 1
Let k(v) = -3*v - 1. Let l be k(-3). Suppose -8*g**3 + 2*g**5 + 26*g**5 + l*g**4 - 28*g**4 = 0. What is g?
-2/7, 0, 1
Let j(h) = -h**5 - 45*h**4 - 64*h**3 - 28*h**2 + 16*h. Let m(n) = -n**5 - 30*n**4 - 43*n**3 - 19*n**2 + 10*n. Let s(d) = 5*j(d) - 8*m(d). Factor s(q).
3*q**2*(q + 1)*(q + 2)**2
Let p(x) be the first derivative of -3*x**4/16 + 79*x**3/12 - 533*x**2/8 + 169*x/4 + 51. Factor p(q).
-(q - 13)**2*(3*q - 1)/4
Factor 1/3*a**5 - 4/3*a**2 + 7/3*a**4 - 16/3*a + 4*a**3 + 0.
a*(a - 1)*(a + 2)**2*(a + 4)/3
Suppose g + p - 344 = -4*g, -3*p - 279 = -4*g. Let z = g + -479/7. Factor 9/7 + z*c**2 - 12/7*c.
(2*c - 3)**2/7
Let y(v) = -v**3 + 3*v**2 + 11*v - 23. Let o be 210/110 + (-2)/(-22). Let n be y(o). Let 6/7*w + 4/7 - 2/7*w**n + 0*w**2 = 0. What is w?
-1, 2
Let o be (-1 + 4)*16/(-12). Let q be 0*((-6)/o - 2). Factor 0 - 1/3*j**2 + q*j.
-j**2/3
Let n be 3/((-14)/6 + 2). Let o = n - -11. Factor -2*h**3 - o*h**3 - h**4 - 5*h**2 + 3*h + 0*h - 5*h.
-h*(h + 1)**2*(h + 2)
Suppose -2*p = -12*p - 3020. Let k = 2120/7 + p. Determine f, given that k*f + 0 - 3/7*f**2 = 0.
0, 2
Let z(s) be the first derivative of -2*s**3/21 + 5*s**2/7 + 12*s/7 + 125. Suppose z(p) = 0. What is p?
-1, 6
Suppose 3*o + 2*k - k = 17, 0 = -2*o - k + 11. Let i be 3/36 - o/8 - -2. Factor -i - 1/3*t**4 + 2*t**3 + 4*t - 13/3*t**2.
-(t - 2)**2*(t - 1)**2/3
Let m = 2461 + -2458. Factor -16/7*a**4 + 36/7*a + 48/7*a**2 + 4/7*a**5 - 8/7*a**m + 0.
4*a*(a - 3)**2*(a + 1)**2/7
Suppose 6*u = 5*t + 9*u - 8, -2*u - 20 = -3*t. Let y(v) be the second derivative of 1/24*v**t - 1/3*v**3 + 0 + v**2 + 5*v. Factor y(g).
(g - 2)**2/2
Let d(p) be the third derivative of 9*p**2 - 15/8*p**4 - 9/2*p**3 + 2/5*p**5 + 0 + 2/5*p**6 + 0*p. Factor d(x).
3*(x - 1)*(4*x + 3)**2
Let v be (-9 - -1)*2/(-4). Let n be (6 + 140/(-21))*(-18)/v. What is g in 0*g**2 + 0*g**n + 0 + 0*g + 2/11*g**5 - 2/11*g**4 = 0?
0, 1
Let h(a) be the first derivative of a**5 + 25*a**4/2 - 115*a**3/3 + 30*a**2 - 4. Determine q so that h(q) = 0.
-12, 0, 1
Let g(j) be the second derivative of 9*j - 15/4*j**4 - 2/3*j**6 - 5/6*j**3 - 11/4*j**5 + 5/2*j**2 + 0. Factor g(l).
-5*(l + 1)**3*(4*l - 1)
Let t(r) be the second derivative of r**5/15 - r**4/3 - 2*r**3 - 6*r**2 + 4*r. Let g(l) be the first derivative of t(l). Let g(a) = 0. What is a?
-1, 3
Suppose -4*w + 3*x + 123 = -0*w, 0 = 5*w - 2*x - 145. Suppose 17 - w = -2*u. Find k, given that 80*k**5 - 72*k**u + 3*k**4 - 5*k**4 = 0.
0, 1/4
Let h(b) be the third derivative of -b**7/30 - 3*b**6/40 - b**5/30 + b**2 + 19*b. Factor h(g).
-g**2*(g + 1)*(7*g + 2)
Suppose -154 = -10*d + 8*d. Let r = -384/5 + d. Find x such that r*x**2 + 0 - 1/5*x = 0.
0, 1
Let h(d) be the first derivative of -d**5/150 - d**4/45 + 6*d - 8. Let y(v) be the first derivative of h(v). Let y(z) = 0. What is z?
-2, 0
Let d be 1*(-7 - -11)*(-6)/(-8). Solve 11*u**2 + 2*u - 18*u - 2*u**d - 27*u**2 - 2*u**3 = 0.
-2, 0
Let y(c) = c - 5*c + 7*c - c**2 - 7*c + 7. Let j be y(-5). Factor 1 - 3 - 6*u**2 + 3 - 2*u**j - 2*u.
-(2*u + 1)*(4*u - 1)
Let s be (-408)/(-1590) - 1/5. Let n = 47/106 + s. Let 5/2*l**2 - 1/2*l - 1 + n*l**3 - 3/2*l**4 = 0. Calculate l.
-1, -2/3, 1
Suppose 52 = -22*b + 35*b. Let v(o) be the first derivative of -3/5*o**5 + 3*o**3 + 3/4*o**b + 3 - 3/2*o**2 - 6*o. Factor v(w).
-3*(w - 2)*(w - 1)*(w + 1)**2
Let h be 2/14 - 65/(-35). Suppose h*c + 4 = 8. Factor -c*w - 2*w**2 - 33*w**5 + 2 - w + 4*w**3 + 32*w**5.
-(w - 1)**3*(w + 1)*(w + 2)
Let j(x) be the third derivative of -x**8/168 + x**7/35 + 3*x**6/20 + x**5/6 + 50*x**2 - 3. Factor j(l).
-2*l**2*(l - 5)*(l + 1)**2
Let i(b) be the third derivative of b**5/180 + 5*b**4/4 + 225*b**3/2 + 76*b**2. Find u such that i(u) = 0.
-45
Let o(l) be the first derivative of 11/9*l**3 + 5*l + 2/3*l**2 + 1/2*l**4 - 4. Let z(t) be the fi