en that r(b) = 0.
-1, 0, 1
Let j(h) = -5*h**3 - 21*h**2 - 16*h + 11. Let g(u) = u**3 + 4*u**2 + 3*u - 2. Let x(s) = 22*g(s) + 4*j(s). Factor x(c).
2*c*(c + 1)**2
Let p(c) be the first derivative of -c**7/280 + c**6/60 - c**5/40 + 2*c**3/3 + 1. Let m(i) be the third derivative of p(i). Factor m(w).
-3*w*(w - 1)**2
Let w(k) be the second derivative of -k**5/300 - k**4/60 - k**2/2 + 5*k. Let i(h) be the first derivative of w(h). Factor i(o).
-o*(o + 2)/5
Let r be 4/10*20/16*4. Let y(k) be the second derivative of -2*k + k**r + 0 - 1/10*k**5 + 1/3*k**3 - 1/6*k**4. Suppose y(q) = 0. What is q?
-1, 1
Let z(u) be the second derivative of u**5/5 - 2*u**4 + 8*u**3 - 16*u**2 + 21*u. Suppose z(q) = 0. Calculate q.
2
Let t = 31 + -91/3. Let u(v) be the second derivative of 0 - 2/3*v**2 - 2*v + t*v**3 + 7/36*v**4. Let u(h) = 0. Calculate h.
-2, 2/7
Suppose 0 = -0*l + 5*l - 15. Factor y**4 + l*y - y + y - y**2 - 2*y - y**3.
y*(y - 1)**2*(y + 1)
Let g(u) = -u. Let t be g(-2). Solve 19 + 3*b - b - 19 + t*b**4 + 6*b**3 + 6*b**2 = 0.
-1, 0
Suppose -v = -2*v + 2. Let q(u) be the third derivative of -2*u**v + 0*u + 1/18*u**4 + 0 - 1/90*u**5 - 1/9*u**3. Factor q(k).
-2*(k - 1)**2/3
Let w be 10/85 + 26/68. Let f(n) be the first derivative of w*n**2 + 2*n + 2 - 1/3*n**3. Factor f(m).
-(m - 2)*(m + 1)
Let l(r) be the second derivative of r**6/25 - r**5/5 + 2*r**4/15 + 8*r**3/15 + 22*r. Let l(m) = 0. Calculate m.
-2/3, 0, 2
Let d = 103992/319 + -326. Let v = 1928/2233 + d. Let 0 - 2/7*o + v*o**2 + 2/7*o**4 - 6/7*o**3 = 0. What is o?
0, 1
Solve 4/3*w**2 + 14/3*w - 14/3*w**3 - 4/3 = 0.
-1, 2/7, 1
Let m be (8/(-12))/((-20)/12). Determine g, given that -m - 2/5*g**2 - 4/5*g = 0.
-1
Let l be 7*(-5)/210*-4. Factor 0 + l*k - 2/3*k**2.
-2*k*(k - 1)/3
Let h(y) be the third derivative of -y**5/15 - 2*y**4 - 24*y**3 - 30*y**2. Factor h(p).
-4*(p + 6)**2
Find k such that -6*k**2 - 3*k**2 + 4*k**2 = 0.
0
Let f be (-58)/(-18) + -3*(-16)/(-216). Factor -4/3*l**2 + 2/3*l**f - 1/3 + 5/3*l**4 + 2/3*l**5 - 4/3*l.
(l - 1)*(l + 1)**3*(2*l + 1)/3
Let z(k) be the second derivative of -1/60*k**5 + 1/120*k**6 + 0 - 1/24*k**4 + 1/2*k**2 + 4*k + 1/6*k**3. Let b(i) be the first derivative of z(i). Factor b(r).
(r - 1)**2*(r + 1)
Let v(x) be the first derivative of -x**3/3 - 2*x**2 - 3*x + 29. Determine r so that v(r) = 0.
-3, -1
Suppose i = -i + 4. Let k = -28 - -32. Factor -4*n + k - 3*n**2 - 3 + n**i - 3.
-2*(n + 1)**2
Let r(j) = 2*j**4 - 2*j**3 + j**2 - j. Let c(p) = -p**4 + p. Let z(k) = 5*c(k) + 5*r(k). Suppose z(w) = 0. What is w?
0, 1
Let y be -8 - (3/1 + -5). Let i be ((-8)/y)/((-15)/(-9)). Let 2/5*r**3 + i*r**2 + 2/5*r + 0 = 0. Calculate r.
-1, 0
Let v(a) = -16*a**3 - 38*a + 62*a**2 - 12*a**3 - 4*a**3 + 4*a**3 + 8. Let o(c) = 55*c**3 - 124*c**2 + 75*c - 16. Let n(s) = -2*o(s) - 5*v(s). Factor n(y).
2*(y - 1)*(3*y - 2)*(5*y - 2)
Let j(o) be the third derivative of -o**9/90720 + o**8/4480 - o**7/560 + o**6/160 - o**4/3 + 8*o**2. Let d(f) be the second derivative of j(f). Factor d(t).
-t*(t - 3)**3/6
Let k(d) be the second derivative of -17/90*d**5 + 2*d + 0 + 4/27*d**6 - 5/54*d**4 + 0*d**2 + 2/27*d**3. Suppose k(l) = 0. What is l?
-2/5, 0, 1/4, 1
Let l(w) = -9*w**2 + 6*w - 6. Let o(b) = b**2 - b + 1. Suppose y - 2*i - 4 = 0, -3*y - 7*i = -2*i + 43. Let s(r) = y*o(r) - l(r). Factor s(t).
3*t**2
Let t = 169 - 167. Let w(z) be the first derivative of -9/4*z**4 + 0*z**5 + 2*z**6 - z**3 - 2 + 0*z**t + 0*z. Factor w(g).
3*g**2*(g - 1)*(2*g + 1)**2
Let c(p) be the second derivative of 3/50*p**5 + p + 1/15*p**3 + 0 + 1/10*p**4 + 1/75*p**6 + 0*p**2. Factor c(m).
2*m*(m + 1)**3/5
What is j in -7/2*j - 1/4*j**2 - 49/4 = 0?
-7
Factor 2*n**3 + 0*n**2 + 0*n - 7/2*n**5 + 0 + 6*n**4.
-n**3*(n - 2)*(7*n + 2)/2
Factor 168 - 168 - 12*d**2 - 8*d**2 + 22*d - 2*d**3.
-2*d*(d - 1)*(d + 11)
Let q(n) = 3*n**3 - 13*n**2 - 7*n - 7. Let p(b) = -b**3 + 4*b**2 + 2*b + 2. Let r(f) = 7*p(f) + 2*q(f). Solve r(g) = 0 for g.
0, 2
Suppose 8*v = 5*v - 12. Let d be 1/((-16)/(-44)) - v. Factor d*y**4 - 18*y**2 - 4 + 0*y**3 + 16*y.
(y + 2)*(3*y - 2)**3/4
Let c(l) be the second derivative of 1/10*l**4 + 0 - 1/50*l**5 - 4/5*l**2 + 0*l**3 - 3*l. Let c(o) = 0. What is o?
-1, 2
Let -16*q - q**2 - 3*q**2 + 19*q + q**2 = 0. Calculate q.
0, 1
Let i be (-2*1/(-20))/((-21)/(-14)). Let r(a) be the second derivative of 0 + 1/15*a**3 + 1/50*a**5 + 0*a**2 - i*a**4 + a. Factor r(z).
2*z*(z - 1)**2/5
Determine n, given that -22*n**2 - 2*n + 4*n**2 + 6*n**3 - 22*n**4 - 2*n - 36*n**3 - 6*n**5 = 0.
-1, -2/3, 0
Factor 0*v**3 - 16/3*v**2 + 0*v + 32/3 + 2/3*v**4.
2*(v - 2)**2*(v + 2)**2/3
Let u(l) be the third derivative of 1/450*l**5 + 3*l**2 - 1/45*l**3 + 1/180*l**4 + 0 - 1/900*l**6 + 0*l. Factor u(s).
-2*(s - 1)**2*(s + 1)/15
Suppose -10 = 10*i - 5*i. Let s be (-57)/(-36) - i/(-8). Solve -s - 10/3*m - 4/3*m**2 = 0.
-2, -1/2
Let f = 105 + -100. Suppose 0*u**4 + 2/9*u - 4/9*u**3 + 0 + 0*u**2 + 2/9*u**f = 0. What is u?
-1, 0, 1
Determine x, given that -46/9*x - 4/3 - 14/9*x**2 = 0.
-3, -2/7
Let j(z) be the second derivative of 3/80*z**5 + 0*z**4 + z + 0 + 0*z**2 - 1/8*z**3. Factor j(h).
3*h*(h - 1)*(h + 1)/4
Let u(q) be the third derivative of 0 - 1/16*q**4 - 1/240*q**6 + 1/140*q**7 + 1/6*q**3 + q**2 + 0*q - 3/40*q**5. Find j such that u(j) = 0.
-1, 1/3, 2
Solve -3*n + 6*n**2 - 4*n**5 - 2*n**3 - n + 2*n**5 - 6*n**4 + 8*n = 0 for n.
-2, -1, 0, 1
Let p(n) be the first derivative of -n + 1/3*n**3 - 2 + 0*n**2. Suppose p(x) = 0. Calculate x.
-1, 1
Let v(l) be the second derivative of -l**8/6720 + l**6/240 + l**5/60 - l**4/12 + l. Let j(h) be the third derivative of v(h). Factor j(w).
-(w - 2)*(w + 1)**2
Let g(z) = 1. Let r(q) = -2*q**3 - 4*q**2 + 14*q - 3. Let j(o) = -5*g(o) + r(o). Suppose j(w) = 0. Calculate w.
-4, 1
Let h(v) be the first derivative of v**3/9 + 2*v**2/3 + 4*v/3 + 15. Solve h(c) = 0.
-2
Let p(i) be the second derivative of i**6/270 - i**5/36 + i**4/18 + 2*i**3/27 - 4*i**2/9 + 14*i. Find l such that p(l) = 0.
-1, 2
Let c(h) be the third derivative of 0*h - 5*h**2 + 3/2*h**3 - 1/4*h**4 + 1/60*h**5 + 0. Factor c(q).
(q - 3)**2
Let y(k) be the third derivative of -k**7/42 - k**6/3 + k**5/12 + 5*k**4/3 - 31*k**2. Factor y(a).
-5*a*(a - 1)*(a + 1)*(a + 8)
Let x(j) be the second derivative of 0*j**3 + 0*j**2 + 1/24*j**4 - 1/80*j**5 - 1/120*j**6 - 4*j + 0. Suppose x(q) = 0. Calculate q.
-2, 0, 1
Let a be 3/21 - (-1240)/(-252) - -5. Factor a*w**2 - 8/9*w + 8/9.
2*(w - 2)**2/9
Let b(o) = -12*o**5 - 14*o**4 - 16*o**3 - 14*o**2 - 14*o. Let i(r) = -r**5 - r**4 - r**3 - r**2 - r. Let s(a) = -2*b(a) + 28*i(a). Find y such that s(y) = 0.
-1, 0, 1
Suppose -39 = -10*r - 3*r. Let g(i) be the third derivative of 1/60*i**6 + 0*i - 1/24*i**4 + r*i**2 + 0*i**7 + 0 + 0*i**5 + 0*i**3 - 1/336*i**8. Factor g(a).
-a*(a - 1)**2*(a + 1)**2
Factor 11*c - 3*c**2 - 12*c - 8*c.
-3*c*(c + 3)
Suppose 0 = 3*j + 4*j - 14. Factor -1/4*v**j + 1/4*v + 1/2.
-(v - 2)*(v + 1)/4
Suppose 0 = -4*y - 0*z + 5*z + 20, -z - 4 = 5*y. Factor -1/3*w**5 + w**4 + 1/3*w**2 + y*w - w**3 + 0.
-w**2*(w - 1)**3/3
Suppose 21*m + 4 = 23*m. Let h(z) be the first derivative of -1/3*z**3 + 1/4*z**4 + z - 1/2*z**m - 1. Factor h(o).
(o - 1)**2*(o + 1)
Factor -5*j**2 - j + 0*j**2 + 4*j**2 + 2*j**2.
j*(j - 1)
Let k(i) be the second derivative of -i**7/6300 + i**6/1800 + i**5/150 - i**4/4 - i. Let l(j) be the third derivative of k(j). Factor l(c).
-2*(c - 2)*(c + 1)/5
Let z = 233/2 - 1627/14. Factor -4/7*k + z + 2/7*k**2.
2*(k - 1)**2/7
Factor 24*k**2 + 4*k**3 - 24*k**2.
4*k**3
Let z(v) = -v**3 - 2*v**2 + 3*v + 4. Let k = -1 - -1. Let r(d) = 3 - 4 + k - d. Let o(g) = -4*r(g) - z(g). Factor o(x).
x*(x + 1)**2
Let k(w) be the first derivative of 2*w**6/3 + 12*w**5/5 + 2*w**4 + 11. What is x in k(x) = 0?
-2, -1, 0
Let u(g) be the third derivative of -g**9/15120 + g**7/4200 - g**3/6 + 3*g**2. Let y(a) be the first derivative of u(a). Suppose y(i) = 0. Calculate i.
-1, 0, 1
Let c(s) = 58*s + 174. Let a be c(-3). Determine x so that a*x + 8/3*x**2 + 0 - 4/3*x**4 + 4/3*x**3 = 0.
-1, 0, 2
Let b = 35/6 - 11/2. Let u(i) be the first derivative of i**4 - 6/5*i**5 - 3*i**2 - 2 + 2*i + 4/3*i**3 + b*i**6. Factor u(x).
2*(x - 1)**4*(x + 1)
Suppose -12 + 0 = 4*n, 0 = -q - n - 1. Let m be (q/(-6))/(3/(-18)). Determin