tive of 0*b**2 + 8*b - 2/21*b**7 + 0 + 2/3*b**3 - 4/15*b**6 + 2/3*b**4 + 0*b**5. Factor y(q).
-4*q*(q - 1)*(q + 1)**3
Suppose 3*x = 4*n - 1, -4*n + x = 2*x - 21. Suppose 0 = -n*j - j + 10. Factor 1/3*p**j + 2/3*p + 1/3.
(p + 1)**2/3
Suppose a = 5*a - 8. Suppose -20 = -9*w + 16. Solve -s**w - 2*s**3 - 2 - 4*s - 2*s**3 + s**2 - 7*s**a + 1 = 0.
-1
Let i(s) = s**3 + 6*s**2 - s. Let y be i(-6). Determine m so that 6*m**2 - 6*m**4 + 3*m**4 + 6*m**4 + y*m**3 + 2*m - m**4 = 0.
-1, 0
Let u(s) be the second derivative of 0 + s - 1/3*s**3 + 0*s**2 - 1/6*s**4. Let t(n) = 2*n**2 + 2*n. Let q(g) = 3*t(g) + 2*u(g). Factor q(r).
2*r*(r + 1)
Let l(u) be the third derivative of -1/30*u**5 + 0 - 1/3*u**3 - 6*u**2 + 1/6*u**4 + 0*u. Find f such that l(f) = 0.
1
Let g = 176/5 + -34. Let u be 8/15*6/4. Factor -1/5*f**5 + 4/5*f**4 - 1/5*f + u*f**2 + 0 - g*f**3.
-f*(f - 1)**4/5
Let -2/13*d**5 + 2/13 + 4/13*d**3 + 2/13*d**4 - 4/13*d**2 - 2/13*d = 0. Calculate d.
-1, 1
Let g(u) = -29*u**4 - 53*u**3 + 5*u**2 + 36*u + 41. Let n(h) = 5*h**4 + 9*h**3 - h**2 - 6*h - 7. Let w(o) = 6*g(o) + 34*n(o). Factor w(a).
-4*(a - 1)*(a + 1)**2*(a + 2)
Let v(q) be the second derivative of -q**6/105 + 2*q**5/35 - q**4/7 + 4*q**3/21 - q**2/7 + 44*q. Let v(r) = 0. What is r?
1
Suppose 3*x - 5*t - 6 = 0, 5*x + 0*x = t + 32. Let m be -2 + (80/x)/4. Let -22/7*o**3 - 2/7 + 12/7*o**4 + 6/7*o**2 + m*o = 0. What is o?
-1/2, 1/3, 1
Let x = 20 + -36. Let k = -11 - x. Find d, given that 2*d**3 + 0 - 2*d**4 + 2/3*d**k + 0*d - 2/3*d**2 = 0.
0, 1
Let j(c) be the second derivative of 0 - 1/4*c**2 - 3/80*c**5 + 5/24*c**3 + 1/12*c**4 + 5*c. Factor j(q).
-(q - 2)*(q + 1)*(3*q - 1)/4
Suppose 104/11*m**3 + 0 - 96/11*m**4 + 18/11*m**5 + 0*m - 32/11*m**2 = 0. What is m?
0, 2/3, 4
Let n(c) be the second derivative of -c**7/3780 - c**6/1080 + 5*c**4/12 + c. Let h(r) be the third derivative of n(r). Factor h(z).
-2*z*(z + 1)/3
Suppose -2*o - 2*o + 100 = 3*y, -4*o = -y + 44. Let d = 112/3 - y. Find b such that 2/3*b - 2/3*b**3 + 4/3*b**4 + 0 - d*b**2 = 0.
-1, 0, 1/2, 1
Let q(v) = v - 3. Let b be (-4 + 2)*(-3)/2. Let s be q(b). Find u such that -3/2*u**4 + 3/2*u**2 + 1/2*u**3 + 1/2*u**5 + s - u = 0.
-1, 0, 1, 2
Let a = -8 + 4. Let i = 1 - a. Let -3*q**2 - 3*q**2 - q**2 - 8*q + i*q**2 - 8 = 0. What is q?
-2
Let i(u) be the third derivative of 0 - 1/84*u**8 + 1/6*u**4 + 0*u**6 + 0*u**3 - 4/105*u**7 + 2/15*u**5 + 2*u**2 + 0*u. Find b such that i(b) = 0.
-1, 0, 1
Let u(b) be the second derivative of b**4/4 + 10*b**3 + 150*b**2 + 45*b. Find s, given that u(s) = 0.
-10
Let z be 10 - 3/9*0. Suppose 5*n - 25 = 3*h, h = 4*n - z - 3. Solve 0 + 2/3*r**3 + 4/3*r**n + 2/3*r = 0.
-1, 0
Let s(d) = d**2 - 5*d - 3. Suppose 3*o - 36 = -5*j, 2*j = -j + 4*o + 10. Let c be s(j). Find b such that 1/4*b**2 - 1/4*b**c + 1/4*b - 1/4 = 0.
-1, 1
Let g = -8839/221 + 510/13. Let t = g + 371/85. Find o such that 0 - t*o**3 + 0*o - 4/5*o**4 + 4/5*o**2 + 18/5*o**5 = 0.
-1, 0, 2/9, 1
Let d(v) be the third derivative of v**8/840 + 2*v**7/175 + 13*v**6/300 + 2*v**5/25 + v**4/15 + 7*v**2. Factor d(w).
2*w*(w + 1)**2*(w + 2)**2/5
Let w be ((-8)/576)/((0 - 1)/2). Let s(n) be the second derivative of 1/3*n**2 + 0 - 1/18*n**3 - w*n**4 + n. Factor s(y).
-(y - 1)*(y + 2)/3
What is j in -3*j**2 - j**3 + 4*j**2 + 5*j - 11*j**2 + 6*j**3 = 0?
0, 1
Suppose 5*a = -4*f - 2, 0 = -2*a - 6*f + 4*f - 2. Let -1/4*m**5 + 0*m + 0*m**a + 1/4*m**3 + 0 + 0*m**4 = 0. What is m?
-1, 0, 1
Suppose 4*w = -u - 4 - 1, -u + 3*w - 5 = 0. Let m(v) = 37*v**3 - 19*v**2. Let z(r) = -25*r**3 + 13*r**2. Let t(x) = u*m(x) - 7*z(x). Factor t(l).
-2*l**2*(5*l - 2)
Let y - 1/2*y**2 - 1/2 = 0. Calculate y.
1
Let q = 0 + 0. Let b be (-2)/14*(-7)/2. Let 0*i**3 + b*i**2 + 0 - 1/2*i**4 + q*i = 0. What is i?
-1, 0, 1
Let r(n) = -3*n - 9. Let t be r(-10). Find i such that 2*i**3 - 7*i**2 - 2*i**2 + t*i + 18 - 15*i - i**2 = 0.
-1, 3
Let q(c) = 8*c + 32. Let l be q(-4). Factor 2/5*f - 1/5*f**2 + l.
-f*(f - 2)/5
Let s(z) be the first derivative of z**3 + 1/2100*z**7 + 0*z + 0*z**2 + 0*z**4 - 2 + 0*z**6 + 0*z**5. Let u(x) be the third derivative of s(x). Factor u(y).
2*y**3/5
Let m(o) be the third derivative of o**5/10 - o**4/4 - o**2. Let t(n) = n**2 - n. Let z = -5 - -1. Let v(x) = z*t(x) + m(x). Find k such that v(k) = 0.
0, 1
Let s(k) be the first derivative of 0*k**3 + 0*k**2 + 3 + 0*k - 1/6*k**4. Factor s(u).
-2*u**3/3
Let d = 5 - 2. Let s = 0 + d. Suppose f**4 - 2*f**2 + f**4 - s*f + 3*f = 0. Calculate f.
-1, 0, 1
Factor 0*o + 9/5*o**2 - 12/5 + 3/5*o**3.
3*(o - 1)*(o + 2)**2/5
Let t = 4/5 - 1/20. Solve 0 + 3/4*d**5 - 3/2*d**2 + 3/2*d**4 - t*d + 0*d**3 = 0.
-1, 0, 1
Let h(z) be the first derivative of z**7/15 + 4*z**6/25 + 3*z**5/50 - z**4/15 + 3*z + 1. Let y(t) be the first derivative of h(t). Suppose y(v) = 0. What is v?
-1, 0, 2/7
Let t(c) be the second derivative of 3*c + 1/105*c**7 - 1/15*c**4 + 1/25*c**6 + 1/25*c**5 - 1/5*c**3 - 1/5*c**2 + 0. Factor t(z).
2*(z - 1)*(z + 1)**4/5
Let m be (-60)/12*(-8)/35. Let o = -26/35 + m. Solve 2/5*b + 2/5 - o*b**3 - 2/5*b**2 = 0.
-1, 1
Let r be 15/10 - 7/102*3. Factor 6/17*n**4 + 30/17*n**2 + 4/17 + r*n**3 + 18/17*n.
2*(n + 1)**3*(3*n + 2)/17
Let s(n) be the third derivative of -n**5/120 + n**4/8 - 2*n**3/3 + 20*n**2. Find d, given that s(d) = 0.
2, 4
Let t = 85 - 424/5. Factor -t*d + 2/5*d**2 - 1/5.
(d - 1)*(2*d + 1)/5
Suppose -4 + 7 = 3*w. Let k(c) = -c**5 - 3*c**4 + 3*c**3 - c**2 + 2*c - 2. Let t(l) = -l**5 + l - 1. Let m(f) = w*k(f) - 2*t(f). Find d such that m(d) = 0.
0, 1
Suppose 2*v - 6*v - 20 = 0. Let y(g) = g**3 + 6*g**2 + 6*g + 9. Let z be y(v). Solve -9/5*t**3 + 2/5*t**2 + 0*t + 0 + 4/5*t**5 + 3/5*t**z = 0 for t.
-2, 0, 1/4, 1
Suppose -5*p + 1 = 2*v - 14, 5*v = 2*p + 23. Suppose -2*f + 1 = r - 3, v*f + 3*r = 12. Determine i, given that f - 1/2*i**2 + 1/4*i**3 + 1/4*i = 0.
0, 1
Let y = 709/63 + -78/7. Let r(a) be the first derivative of -y*a**3 + 1 - 2/3*a - 1/2*a**2. Factor r(u).
-(u + 1)*(u + 2)/3
Let p(f) = -f**2 - f + 1. Let l(h) = -21*h**2 - 84*h - 81. Let z(q) = -l(q) - 6*p(q). Determine r so that z(r) = 0.
-5/3
Let l(p) be the third derivative of -p**6/300 - p**5/150 + p**4/30 + 14*p**2. Factor l(y).
-2*y*(y - 1)*(y + 2)/5
Let b(j) = j**2 - 4*j - 8. Let f be b(6). Factor -2*a**2 + 2*a**4 + f*a**2 - 4*a**4.
-2*a**2*(a - 1)*(a + 1)
Suppose 2 = -2*g + 20. Factor -2*u**3 + g*u**2 + 10*u**3 + 2 + 3*u**2 - 9*u + 2*u**4 + 17*u.
2*(u + 1)**4
Suppose -13 + 5 = 2*b. Let c be -2 - (22/b - -3). Factor 0*q**3 + 1/2*q**4 + c - q**2 + 0*q.
(q - 1)**2*(q + 1)**2/2
Let c(u) be the third derivative of -u**6/660 - u**5/66 - 7*u**4/132 - u**3/11 + 6*u**2. Factor c(r).
-2*(r + 1)**2*(r + 3)/11
Suppose -4*k + 6 = -6. Let h(u) be the first derivative of -2 + k*u - 3/2*u**2 + 3/4*u**4 - u**3. Factor h(i).
3*(i - 1)**2*(i + 1)
Let j(q) be the first derivative of -q**3/12 - 5*q**2/8 - q + 3. Factor j(b).
-(b + 1)*(b + 4)/4
Let 2*k**4 + 3*k**4 + 9*k**4 - 2 - 4*k**3 + 4*k - 12*k**4 = 0. Calculate k.
-1, 1
Let t(p) = 3*p**3 + 5*p**2 - 5*p - 5. Let j(h) = -4*h**3 - 6*h**2 + 6*h + 6. Let i(r) = -5*j(r) - 6*t(r). What is c in i(c) = 0?
0
Let z(b) be the first derivative of b**5/5 - b**4/6 - b**3/3 + b**2/3 + 4. Determine h, given that z(h) = 0.
-1, 0, 2/3, 1
Let u(b) be the second derivative of b**4/12 + b**3/3 + b**2/2 + 21*b. Factor u(s).
(s + 1)**2
Suppose h + 8 = 4*r, 2*h = 5*r - 3*r - 4. Solve 11 + 5 - 12*t - 3*t**2 - t**2 + h*t**2 = 0 for t.
-4, 1
Let y(h) be the third derivative of -3*h**6/40 + 13*h**5/20 - h**4 - 6*h**3 + 4*h**2. Find g such that y(g) = 0.
-2/3, 2, 3
Let y(r) = -3*r**3 + r**2 - 9*r - 1. Let z(f) = 4*f**3 - f**2 + 10*f + 2. Let v(b) = 5*y(b) + 4*z(b). Solve v(o) = 0 for o.
-3, 1
Let b = -2/5 - -19/10. Find o, given that -b*o**2 + 0*o + 2 + 1/2*o**3 = 0.
-1, 2
Suppose 6*k = 5*k + 2*t + 7, 0 = -5*k + 3*t + 28. Let b(q) = q**2 - 2*q - 6. Let s be b(-2). Factor r**2 + 11*r**4 - 6*r**3 - 4*r**k + 0*r**s - 2*r**4.
-r**2*(r - 1)**2*(4*r - 1)
Suppose 2*x + 0*x = 7*x. Factor -7/6*f**3 + x + 1/3*f**2 + 0*f.
-f**2*(7*f - 2)/6
Suppose 0 = 5*g - 2 - 13. Suppose 2*l + 3*c = 2, -g*l - 4*c = -2*c - 8. Find y such that 5*y**5 - 3*y**2 - 2*y**5 - 9*y**4 - 4*y**2 + l*y**2 + 9*y**3 = 0.
0, 1
Determine o so that 0*o - 2/3*o**3 + 0 + 4/3*o**2 = 0.
0, 2
Let p(j) b