2. Let b(o) = -5*o**2 + o + 6. Let f(j) = -11*a(j) + 4*b(j). Let v be f(-2). Factor 5*q**2 + q - q**4 - 3*q**2 - v*q**3 + 3 + q**5 - 4.
(q - 1)**3*(q + 1)**2
Let d(m) be the second derivative of m**7/126 - m**6/90 - 3*m**5/20 - 11*m**4/36 - 2*m**3/9 + 23*m. Factor d(y).
y*(y - 4)*(y + 1)**3/3
Let l(q) = 3*q + 1. Let y be l(2). Factor 1 + 11*v**2 - 9*v**2 - 2*v - 4*v + y*v**2.
(3*v - 1)**2
Suppose -47 = -12*p - 11. Factor 2/3*y**4 - 2/3 + 0*y**2 + 4/3*y**p - 4/3*y.
2*(y - 1)*(y + 1)**3/3
Let p(w) be the second derivative of -2/15*w**6 + 0*w**2 - 5/3*w**4 + 4/3*w**3 + 4/5*w**5 + 0 + 9*w. Find i, given that p(i) = 0.
0, 1, 2
Let z(t) = -t**2 + 7*t + 2. Let v(q) = 9*q**2 - 69*q - 21. Let o(l) = 2*v(l) + 21*z(l). Find g, given that o(g) = 0.
0, 3
Let a(x) be the third derivative of -x**5/135 + 7*x**4/54 - 4*x**3/9 - 30*x**2. Factor a(k).
-4*(k - 6)*(k - 1)/9
Let k(t) = -3*t - 1. Let u be k(-1). Let b be 1/u - 14/(-4). Find a, given that -2*a**5 - 5 + 8*a**2 - 12*a**3 - 2*a + 5 + 8*a**b = 0.
0, 1
Let b = -5/23 + 81/161. Suppose 0 - b*w**5 + 2/7*w**3 - 2/7*w**4 + 0*w + 2/7*w**2 = 0. Calculate w.
-1, 0, 1
Factor 0*d + 0 + 1/7*d**3 - 1/7*d**4 + 0*d**2.
-d**3*(d - 1)/7
Let y be 9/(-2)*10/(-60). Let f(b) be the first derivative of 5 - 3*b**3 + 6/5*b**5 - y*b**4 + 3/2*b**2 + 3*b. Let f(k) = 0. What is k?
-1, -1/2, 1
Let c = -328/5 + 66. Let u(f) be the first derivative of 1/4*f**4 + 0*f - 4 + 1/25*f**5 + c*f**2 + 8/15*f**3. Determine p so that u(p) = 0.
-2, -1, 0
Let h(b) be the second derivative of 5*b**4/9 - 11*b**3/9 + b**2/3 - 67*b. Solve h(c) = 0.
1/10, 1
Let c(v) be the first derivative of 0*v**2 + 4*v + 0*v**4 + 1/30*v**6 - 1 + 0*v**5 + 0*v**3. Let x(r) be the first derivative of c(r). What is j in x(j) = 0?
0
Let d be (-2 - -2) + 11/((-198)/(-4)). Factor -2/9*j**4 + d*j**3 + 0 + 0*j**2 + 0*j.
-2*j**3*(j - 1)/9
Let c be (-8)/(-28) - (-2)/(-7). Suppose c = -5*y + 2*y + 15. Determine j, given that 0 + 2/3*j**y + 0*j**4 + 0*j - 2*j**3 - 4/3*j**2 = 0.
-1, 0, 2
Suppose 1 = -6*f + 43. Let j(p) be the third derivative of 1/2*p**3 + 2*p**2 + 1/2*p**5 + 0 + 0*p + 1/14*p**f - 1/112*p**8 - 1/4*p**6 - 5/8*p**4. Factor j(l).
-3*(l - 1)**5
Let t(z) = 12*z**2 + 4*z**3 + 4 - 4 + 2*z - 3 + 6*z**3. Let r(q) = -21*q**3 - 25*q**2 - 4*q + 7. Let i(w) = -6*r(w) - 14*t(w). Factor i(s).
-2*s*(s + 1)*(7*s + 2)
Suppose 4*w - 6 = 5*s + 6*w, 6 = -4*s - w. Let x be -1 - (1 + -2 + s). Let -1/2*l**x + l - 1/2 = 0. What is l?
1
Let i = -215 + 1937/9. Suppose 3*z - 9 = -0*z. Factor -i + 2/9*p**z - 2/9*p + 2/9*p**2.
2*(p - 1)*(p + 1)**2/9
Let a = 2625 - 18181/7. Let s = 28 - a. Let 6/7*q**2 + 2/7 - 6/7*q - s*q**3 = 0. What is q?
1
Suppose -55/3*c**2 - 5/3*c**3 + 0 - 30*c = 0. What is c?
-9, -2, 0
Let t(g) = g**4 - g**3 - g**2 - 1. Let o(b) = b**4 + 2*b**3 - 7*b**2 + 2*b - 2. Let k(f) = 3*o(f) - 6*t(f). Factor k(s).
-3*s*(s - 2)*(s - 1)**2
Let k(m) = -m + 5. Let x be k(0). Suppose 5*f - 3*h = 34, h = x*f - 0 - 28. Find d such that d**2 - 4 - 2*d**2 + f = 0.
-1, 1
Let k(b) be the first derivative of 6*b**5/35 - b**4/2 + 4*b**3/21 + 6. Factor k(m).
2*m**2*(m - 2)*(3*m - 1)/7
Let w(p) be the second derivative of -p**9/52920 + p**8/23520 + p**7/8820 - p**6/2520 + p**4/4 - p. Let t(y) be the third derivative of w(y). Solve t(c) = 0.
-1, 0, 1
Let w = -2/9 + 8/9. Let q = -15 - -19. Factor -i - w*i**2 + 2/3*i**3 + i**q + 1/3*i**5 - 1/3.
(i - 1)*(i + 1)**4/3
Let l(b) be the second derivative of b**5/20 - b**4/4 + b**3/3 + 9*b. Solve l(o) = 0.
0, 1, 2
Let c(o) = 28*o**3 - 16*o**2 - 2*o. Suppose 5*n + 14 + 11 = 0. Let u(d) = 27*d**3 - 16*d**2 - 3*d. Let i(h) = n*c(h) + 4*u(h). Find w, given that i(w) = 0.
0, 1/4
Let g(f) = -f**2 - 11*f + 5. Let j(i) = 2*i**2 + 32*i - 16. Let r(o) = -8*g(o) - 3*j(o). Factor r(h).
2*(h - 2)**2
Suppose 8/7*w**3 - 2/7 + 2*w**2 + 4/7*w = 0. Calculate w.
-1, 1/4
Factor 4*v**3 + 8*v**3 - 15*v**2 - 7*v**3 + 5*v**3 + 5*v.
5*v*(v - 1)*(2*v - 1)
Let o(q) be the third derivative of -1/20*q**5 + 0*q + 0*q**3 - 1/8*q**4 + 0 - 3*q**2. Factor o(k).
-3*k*(k + 1)
Let j be 7/5*25/90. Let r = 1/9 + j. Factor t + r*t**2 + 1/2.
(t + 1)**2/2
Let s be 38/6 + 7/(-21). Determine u, given that 3 + 5*u + u - 3*u**2 - s = 0.
1
Factor 2/5*v + 0 + 0*v**2 - 2/5*v**3.
-2*v*(v - 1)*(v + 1)/5
Let n(k) = 6*k**3 + 2*k + 3. Let t(f) = -5*f**3 - f - 2. Let s(m) = -m**3 - 3*m**2 + 7*m + 8. Let b be s(-4). Let q(y) = b*n(y) - 5*t(y). Factor q(l).
(l - 2)*(l + 1)**2
Factor 3/5 - 3/5*k + 3/5*k**3 - 3/5*k**2.
3*(k - 1)**2*(k + 1)/5
Let m(h) = -4*h**2 - 4*h + 9. Let i(t) = -t**2 + 1. Let r = 18 - 38. Let j(g) = r*i(g) + 4*m(g). Factor j(q).
4*(q - 2)**2
Let f(w) = -7*w**5 - 12*w**3 - 3*w**2 - 11*w + 11. Let c(y) = 2*y**5 + 3*y**3 + y**2 + 3*y - 3. Let r(j) = 22*c(j) + 6*f(j). Factor r(h).
2*h**2*(h - 1)**2*(h + 2)
Let m(d) be the second derivative of 0*d**2 + 1/60*d**6 + 0*d**4 - 2*d + 3/40*d**5 + 0 - 1/3*d**3. Find n such that m(n) = 0.
-2, 0, 1
Let o be (4/5)/((-40)/(-100)). Suppose -2/3*x**3 - 2/3*x - 4/3*x**o + 0 = 0. What is x?
-1, 0
Let y = -2/33 - -17/220. Let p(h) be the second derivative of 0*h**2 + 0*h**3 + 0*h**5 - 1/150*h**6 + h + 0 + y*h**4. Factor p(u).
-u**2*(u - 1)*(u + 1)/5
Let u(q) be the first derivative of -q**4/20 + 2*q**3/5 - 31. Factor u(h).
-h**2*(h - 6)/5
Let y(x) be the second derivative of x**4/72 - 5*x**3/36 + x**2/2 + 16*x. Determine q so that y(q) = 0.
2, 3
Let l(d) be the second derivative of -d**4/60 - d**3/30 - 3*d. Factor l(n).
-n*(n + 1)/5
Let o be ((-27)/4)/(-3) - 105/(-140). Determine h so that 45/2*h**o - 15/2*h**5 + 6*h + 24*h**2 + 0 - 3*h**4 = 0.
-1, -2/5, 0, 2
Factor 4*j**3 + 8*j**2 + 31*j + 22*j - 49*j.
4*j*(j + 1)**2
Let a be (3/9)/((-2)/(-12)). Factor -5*q**2 + q**a + 5*q**2 + 3*q**2.
4*q**2
Let m be 8/42*(-18)/(-12). Find o such that 11/7*o**4 - 9/7*o**3 + 3/7*o - 13/7*o**2 + m + 6/7*o**5 = 0.
-2, -1, -1/3, 1/2, 1
Suppose 9*t - 5*t = 8. Let d = t + 2. Factor 0*o + 0*o**d + 0 + 2/7*o**5 + 0*o**2 + 0*o**3.
2*o**5/7
Let o be 8/3 + 1/(-1). Factor 1/3 - o*y**2 + 1/3*y + y**3.
(y - 1)**2*(3*y + 1)/3
Let l be -2 + 14/5 + 0. Let p = 17 - 13. What is u in 2/5*u**p + 0*u**2 + l*u - 2/5 - 4/5*u**3 = 0?
-1, 1
Let n(d) be the second derivative of 1/165*d**6 + 1/33*d**4 + 0 + 0*d**3 + 0*d**2 - 3/110*d**5 - 3*d. Factor n(r).
2*r**2*(r - 2)*(r - 1)/11
Suppose -2*f - f + 6 = 0. Let b(s) be the first derivative of -1/18*s**6 + 0*s**3 - f + 0*s**5 + 0*s + 1/6*s**4 - 1/6*s**2. Suppose b(x) = 0. What is x?
-1, 0, 1
Let a(x) = 12*x**3 - 27*x**2 + 18*x. Let w(v) = -v**4 + v**3 + v. Let t(m) = -a(m) + 3*w(m). Find c such that t(c) = 0.
-5, 0, 1
Let i = 1 - -4. Suppose -22 = -i*k + 8. Factor -6*u + k*u - u**4.
-u**4
Let r(n) be the third derivative of -7*n**5/15 - 5*n**4/6 + 4*n**3/3 - 10*n**2. Factor r(v).
-4*(v + 1)*(7*v - 2)
Let u(d) be the second derivative of -d**8/11760 - d**7/2940 - d**6/2520 + d**4/2 + 6*d. Let z(i) be the third derivative of u(i). Factor z(t).
-2*t*(t + 1)*(2*t + 1)/7
Suppose k + 2*q - 6 = 0, 0*k + k - 3*q = -9. Let s(a) be the second derivative of 0*a**2 - 1/6*a**4 - 2*a + k + 1/10*a**5 - 2/3*a**3. Factor s(u).
2*u*(u - 2)*(u + 1)
Let j = -285 - -10261/36. Let k(n) be the second derivative of -j*n**4 + 0 + 0*n**2 - 1/30*n**5 + 0*n**3 - 1/90*n**6 + 2*n. Factor k(l).
-l**2*(l + 1)**2/3
Suppose -y = -5*y + 336. Let b = y - 333/4. What is n in 1/4*n**2 - b*n + 1/2 = 0?
1, 2
Let g(c) be the first derivative of -c**8/672 + c**7/210 - c**5/60 + c**4/48 + 5*c**2/2 - 2. Let h(b) be the second derivative of g(b). Factor h(w).
-w*(w - 1)**3*(w + 1)/2
Suppose -30 = -5*g - 5. Let b(v) be the third derivative of -1/480*v**6 + 0 - 1/60*v**g + 0*v - 1/24*v**4 + 0*v**3 + 3*v**2. Factor b(r).
-r*(r + 2)**2/4
Let v(n) be the first derivative of -n**6/17 + 22*n**5/85 - 7*n**4/17 + 4*n**3/17 + n**2/17 - 2*n/17 - 6. Let v(g) = 0. Calculate g.
-1/3, 1
Factor -3/2*i**2 + 9/2 + 3*i.
-3*(i - 3)*(i + 1)/2
Let z(x) = 2*x**5 - 3*x**3 - 4*x**2 + x + 4. Let n(k) = 3*k**5 - 4*k**3 - 6*k**2 + k + 6. Let p(i) = 5*n(i) - 8*z(i). Factor p(q).
-(q - 2)*(q - 1)*(q + 1)**3
Let a be -1 + (6 - 3) + -2. Let j = a + 3. Solve 2/5*l**2 + 2/5*l**5 + 0 + 6/5*l**4 + 0*l + 6/5*l**j = 0.
-1, 0
Let m be 0*(3/(-6) - -1). Suppose 1/5*r**4 + 21/5*r**5 - 23/5*r**3 - 1/5*r**2 + 2/5*r + m = 0. What is r?
-1, 