of -v**6/40 + 3*v**5/20 - 3*v**4/8 + v**3/2 + 22*v**2 - 2*v. Suppose c(f) = 0. Calculate f.
1
Suppose 3*u = 16 + 14. Let y be (-2)/(-4) + 45/u. Factor 3*z - 9*z**2 + y*z - 1 - 2*z.
-(3*z - 1)**2
Let f = -825/2 - -414. Let -1/4*u - u**4 - 1/4*u**5 + 0 - u**2 - f*u**3 = 0. What is u?
-1, 0
Let u(d) = -3*d + 1. Let p be u(-1). Let x(r) be the second derivative of -1/36*r**p + 2*r + 1/18*r**3 + 0 + 0*r**2. Find t, given that x(t) = 0.
0, 1
Let t(k) = -72*k**4 + 100*k**3 + 350*k**2 - 478*k - 118. Let l(c) = -8*c**4 + 11*c**3 + 39*c**2 - 53*c - 13. Let w(d) = 52*l(d) - 6*t(d). Factor w(r).
4*(r - 2)**2*(r + 2)*(4*r + 1)
Let q = 89 - 89. Determine k, given that 0 + 0*k**2 + 1/4*k**4 + 1/4*k**3 + q*k = 0.
-1, 0
Let z(n) be the third derivative of -n**6/20 + n**5/40 - 31*n**2. Determine a, given that z(a) = 0.
0, 1/4
Let l(p) be the second derivative of -1/10*p**5 + 6*p - 5/42*p**4 + 2/21*p**3 + 0 + 0*p**2. Factor l(j).
-2*j*(j + 1)*(7*j - 2)/7
Let x(y) be the third derivative of 5*y**2 + 0*y + 1/36*y**4 - 1/18*y**3 - 1/180*y**5 + 0. Factor x(g).
-(g - 1)**2/3
Let w = -39 - -157/4. Factor -1/4*q + 1/2 - w*q**2.
-(q - 1)*(q + 2)/4
Factor 40*v - 133*v**2 - 40*v**3 - v**4 + 6*v**4 + 128*v**2.
5*v*(v - 8)*(v - 1)*(v + 1)
Let q(d) be the third derivative of -7*d**5/12 - 65*d**4/12 + 20*d**3/3 - d**2 + 4*d. Solve q(w) = 0 for w.
-4, 2/7
Let x be 3/6 - 88/240. Let h(k) be the first derivative of -2/5*k - 1/5*k**2 + 1/10*k**4 + x*k**3 + 2. What is y in h(y) = 0?
-1, 1
Factor -2 - 2/3*x**2 - 8/3*x.
-2*(x + 1)*(x + 3)/3
Factor m**5 + 9*m**5 - 13*m**5.
-3*m**5
Let w be 10/(-3)*(1 + (-10)/4). Let m(j) be the first derivative of 0*j - 1 + 2/27*j**3 - 1/6*j**4 + 0*j**2 - 1/27*j**6 + 2/15*j**w. Factor m(s).
-2*s**2*(s - 1)**3/9
Determine x, given that 0*x + x + 0*x**2 + x**2 - 2*x = 0.
0, 1
Let z(q) be the third derivative of -1/330*q**5 + 0*q**3 + 0*q + 1/220*q**6 + 0*q**4 - 4*q**2 + 0. Determine p, given that z(p) = 0.
0, 1/3
Determine v, given that 18*v**2 + 10*v**2 - 10*v + 25*v - 23*v**2 = 0.
-3, 0
Let i = -6/47 - -165/188. Factor 0*y - 3/4*y**2 + i.
-3*(y - 1)*(y + 1)/4
Let m be 4/(-25)*(-280)/16. Factor 0 + m*v**2 + 4/5*v.
2*v*(7*v + 2)/5
Let a(f) = f**2 + 8*f + 2. Let i be a(-8). Suppose -3*n**2 - n**2 + 1 + n + 7*n**i - 3 = 0. What is n?
-1, 2/3
Let i be (-30)/(-25) + 0*(-3)/9. Let 1/5*j**4 + 1/5 + i*j**2 + 4/5*j**3 + 4/5*j = 0. Calculate j.
-1
Suppose 7 + 3 = 2*p. Let a(n) = -9*n**4 - 19*n**3 - 10*n**2 + 8*n. Let u(g) = -6*g**4 - 13*g**3 - 7*g**2 + 5*g. Let j(i) = p*a(i) - 8*u(i). Factor j(b).
3*b**2*(b + 1)*(b + 2)
Let -4/5*y**2 + 7/5*y**4 + 8/5*y**3 + 0 + 0*y - y**5 = 0. Calculate y.
-1, 0, 2/5, 2
Suppose -2*h + 10 = -h - 5*d, 0 = -3*h - d - 18. Let b be 1/h + 91/105. Factor 0*v**2 + 1/3*v**4 + b*v**3 - 1/3 - 2/3*v.
(v - 1)*(v + 1)**3/3
Let r(d) = -4*d**3 - 45*d**2 - 45*d - 4. Let i be (-3)/6 - 69/(-6). Let p(s) = -s**3 - 9*s**2 - 9*s - 1. Let a(q) = i*p(q) - 2*r(q). What is l in a(l) = 0?
-1
Let f = 7 - 5. Let s be (6 + 0)*(-2)/(-8). Factor -s*a + 1/4*a**f + 9/4.
(a - 3)**2/4
Let r be 4/14 - 96/(-56). Let s(y) = -17*y**2 - 17*y. Let q(n) = 4*n**2 + 4*n. Let w(i) = r*s(i) + 9*q(i). Factor w(g).
2*g*(g + 1)
Suppose -3*b = -6 + 24. Let s(g) = g**3 + 6*g**2 - 2*g - 7. Let q be s(b). Determine l, given that -2*l - l**2 + q*l - 11*l**2 = 0.
0, 1/4
Let a be 0 + -1 + -2 + 20/6. Suppose 1/3*p**4 - 1/3*p**3 - p**2 + 2/3 + a*p = 0. Calculate p.
-1, 1, 2
Let i(w) be the second derivative of w**5/50 - 8*w. Let i(x) = 0. What is x?
0
Factor -2659*d**3 - 3212*d**3 + 828*d**3 - 492*d**2 - 12*d.
-3*d*(41*d + 2)**2
Let d(a) be the third derivative of 1/18*a**3 + 1/24*a**4 - 1/180*a**6 - 1/210*a**7 + 4*a**2 + 0*a + 0 - 1/1008*a**8 + 1/90*a**5. Factor d(h).
-(h - 1)*(h + 1)**4/3
Let k(q) be the second derivative of -q**6/60 + q**5/20 + q**4/24 - q**3/6 - 5*q. Factor k(l).
-l*(l - 2)*(l - 1)*(l + 1)/2
Let p be (12/(-14))/(5/(35/(-2))). Find f such that 1/4*f**2 - 1/2*f**p + 0 + 1/2*f**5 + 0*f - 1/4*f**4 = 0.
-1, 0, 1/2, 1
Let m(l) be the third derivative of l**5/20 - l**4/4 - 7*l**2. Factor m(r).
3*r*(r - 2)
Suppose -5*z = -2*j + 20, 3*z = 3*j - 0*z - 12. Find q such that 0*q + 1/2*q**2 - 3/4*q**3 - 5/4*q**4 + j = 0.
-1, 0, 2/5
Let p(j) = -4*j - 1. Let n be p(1). Let t = -3 - n. Factor -1 - 2*b**t + 3 + 0 - 2*b**3 + 2*b.
-2*(b - 1)*(b + 1)**2
Let w be 96/18 + 2/(-6). Determine r so that -w - 5 + 4 + 9*r + 0*r - 3*r**2 = 0.
1, 2
Let f(i) = 4*i**3 - 5*i**2 - i + 2. Let g(m) = 5*m**3 - 6*m**2 - m + 2. Let c = -3 - 0. Let t(a) = c*g(a) + 4*f(a). Factor t(o).
(o - 2)*(o - 1)*(o + 1)
Let s(r) = r**5 - r**4 - r - 1. Let t(o) = -6*o**4 - o + 6*o**5 + 0*o + 2*o**2 - 6 - 3*o - 13*o**3 + 11*o**3. Let z(c) = 5*s(c) - t(c). Factor z(m).
-(m - 1)**3*(m + 1)**2
Find d such that 18 + 157*d - 144*d**4 + d**5 - 7*d + 326*d**2 + 18*d**3 - 7*d**5 + 38*d**5 = 0.
-1, -1/4, 3
Let r(g) be the second derivative of -g**9/7560 + g**7/1260 + g**4/2 + 5*g. Let p(x) be the third derivative of r(x). Solve p(i) = 0 for i.
-1, 0, 1
Let w(a) be the third derivative of -a**7/1575 + a**6/200 - a**5/150 - a**4/12 + a**2. Let r(l) be the second derivative of w(l). What is j in r(j) = 0?
1/4, 2
Let k(w) be the first derivative of 0*w - 5/3*w**2 + 5/9*w**3 + 5. Factor k(h).
5*h*(h - 2)/3
Let z = 21 - 14. Suppose -5*f = -x - f + z, 4*x - 11 = -f. Factor 3*h - 3*h**2 + 6*h**2 - 2*h**2 - 3*h**x - 1.
-(h - 1)*(h + 1)*(3*h - 1)
Let l(f) = 8*f**2 + f. Let b be l(-2). Let a be ((-4)/(-10))/(6/b). Solve h**a + h**3 - h**2 - h**2 = 0.
0, 1
Factor 18/5 - 2/5*m**3 - 2*m**2 - 6/5*m.
-2*(m - 1)*(m + 3)**2/5
Let z be ((11 - 6) + -6)*(0 - 0). Factor -2/5*n + z + 2/5*n**3 - 2/5*n**2 + 2/5*n**4.
2*n*(n - 1)*(n + 1)**2/5
Let h be 93/6 + (2/2 - 5). Solve -1/2*u**3 + h*u**2 + 4*u - 7/2*u**5 - 2 - 19/2*u**4 = 0.
-2, -1, 2/7, 1
Suppose 2 = 3*c - f - 0, 2*f - 2 = 3*c. Factor 3*a**3 - 6*a - 6*a**3 + 0*a**2 - 9*a**c.
-3*a*(a + 1)*(a + 2)
Let w(h) be the second derivative of -3*h**5/100 + h**4/20 + 2*h**3/5 - 6*h**2/5 + 12*h. Factor w(m).
-3*(m - 2)*(m - 1)*(m + 2)/5
Let n(k) = -7*k**3 - 15*k**2 - 3*k + 13. Let v(y) = -y**3 - y**2 - y - 1. Let h(q) = -n(q) + 3*v(q). Let h(m) = 0. What is m?
-2, 1
Let r(i) be the second derivative of -i**7/21 + 4*i**5 - 80*i**4/3 + 80*i**3 - 128*i**2 + 3*i - 3. Factor r(w).
-2*(w - 2)**4*(w + 8)
Factor -2/5*z + 0 + 0*z**2 - 2/5*z**5 + 0*z**4 + 4/5*z**3.
-2*z*(z - 1)**2*(z + 1)**2/5
Suppose -8 = -l - l. Factor -k - 5*k + l*k + 1 + k**2.
(k - 1)**2
Suppose 96*d**2 - 20*d + 95*d**2 + 20*d**3 - 186*d**2 - 5 = 0. What is d?
-1, -1/4, 1
Suppose 0 - 1/3*r**3 + 1/3*r**2 + 2/3*r = 0. Calculate r.
-1, 0, 2
Let n(m) be the second derivative of 9*m**5/140 - 11*m**4/84 + m**3/21 - 3*m. Solve n(l) = 0 for l.
0, 2/9, 1
Let l(g) be the third derivative of -g**5/60 + g**4/6 - 2*g**3/3 - 58*g**2. Factor l(w).
-(w - 2)**2
Let y(x) = -x**2 - 9*x - 18. Let u be y(-6). Let h = 44894/4113 + -12/457. Factor -8/9*c**2 - 154/9*c**4 + h*c**5 + 64/9*c**3 + 0 + u*c.
2*c**2*(c - 1)*(7*c - 2)**2/9
Let m(q) be the second derivative of q**4/21 + q**3/21 - q**2/7 + 17*q. Determine r so that m(r) = 0.
-1, 1/2
Factor 3/2*l**2 + 1/2*l**3 + 1/2 + 3/2*l.
(l + 1)**3/2
Let j(c) be the third derivative of -1/36*c**4 + 0*c + 0*c**7 + 1/90*c**6 + 0*c**3 - 1/504*c**8 + 0*c**5 + 0 + 2*c**2. What is p in j(p) = 0?
-1, 0, 1
Factor -7/3*i**2 + 2/3*i**3 + i**4 + 0 + 2/3*i.
i*(i - 1)*(i + 2)*(3*i - 1)/3
Let c(q) = -3*q**3 + 20*q. Let f(u) = 5*u**3 - 40*u. Let d(l) = -5*c(l) - 2*f(l). Factor d(p).
5*p*(p - 2)*(p + 2)
Factor 2/5*c - 2/5*c**2 + 4/5.
-2*(c - 2)*(c + 1)/5
Let t(q) be the second derivative of q**7/42 + q**6/30 - 7*q**5/20 - 13*q**4/12 - q**3 + 63*q. Factor t(u).
u*(u - 3)*(u + 1)**2*(u + 2)
Let l be 1/(-2) + (-11)/(-22). Let g = 10 - 6. Suppose q**5 + l*q**4 - q**3 + q**2 - 4*q**g + 3*q**4 = 0. Calculate q.
-1, 0, 1
Let s be -2 - (-20)/4 - -3. Factor s*h - 27*h**2 + 5*h**4 - h**4 + 18*h**2 + 5*h**4 - 6*h**3.
3*h*(h - 1)*(h + 1)*(3*h - 2)
Suppose 3*s = 2*l + 2*s - 40, -l - 2*s = -25. Let r = l - 41/2. Determine k so that -k + 1/2*k**2 + r = 0.
1
Suppose -i - l = -0*i - 7, -3*l + 9 = -i. Find z, given that -5*z**4 + 3 - 5 - 4*z + 4*z**4 + i*z**4 + 4*z**3 = 0.
-1, 1
Let h(c) be the first derivative of 7*c**8/120 - c**7/60 - c**6/6 - 19*c**5/105