/7*r**3 + 0 - q*r**2 + j*r.
2*r*(r - 1)**2/7
Let k(b) = 2*b**4 + 5*b**3 - 27*b**2 + 46*b - 17. Let v(w) = 10*w**4 + 24*w**3 - 136*w**2 + 230*w - 86. Let i(p) = 14*k(p) - 3*v(p). Factor i(u).
-2*(u - 2)*(u - 1)**2*(u + 5)
Suppose 7*g - 20 = 11*g. Let j be ((-30)/36)/(g/9). Factor 0*t + j*t**3 + 15/4*t**4 + 0*t**2 + 0.
3*t**3*(5*t + 2)/4
Let o(n) be the first derivative of 0*n**2 + 1/12*n**5 - 10/3*n**3 - 5 - 1/360*n**6 + 0*n - 25/24*n**4. Let h(r) be the third derivative of o(r). Factor h(j).
-(j - 5)**2
Solve 0*f**2 + 0 + 16/7*f - 4/7*f**3 = 0 for f.
-2, 0, 2
Let u be (12/(-15)*(1 + -6))/2. Suppose 0 = u*b - 4*j - 8, 2*b - 2*j - 10 = -2*b. Factor -1/4*h**4 + 1/4*h + 3/4*h**3 + 0 - 3/4*h**b.
-h*(h - 1)**3/4
Factor -1/5*m**2 + 9/5*m - 14/5.
-(m - 7)*(m - 2)/5
Let h be 12/(-15)*(-945)/126. Suppose -2/3*c**2 - h + 4*c = 0. Calculate c.
3
Let b(x) be the first derivative of -x**5/4 + 95*x**4/16 - 165*x**3/4 + 405*x**2/8 + 12. Let b(z) = 0. What is z?
0, 1, 9
Let y(s) = 2*s**2 - 22*s + 5. Let g be y(11). Suppose 5*d = -4*x + g*x, -5*x = 2*d. What is b in x - 2/7*b**2 - 2/7*b = 0?
-1, 0
Let p be ((-135)/108)/(2/8). Let k be 1/3 - (4 + -9 - p). Factor k*o**3 + 5/3*o - 2/3 - 4/3*o**2.
(o - 2)*(o - 1)**2/3
Let q = 139 + -136. Let a(g) be the first derivative of -3/2*g**4 + g**q - 9 + 6*g + 15/2*g**2. Determine p so that a(p) = 0.
-1, -1/2, 2
Let w = -20 - -22. Determine g, given that -g**3 + 3*g**2 - g**w + 38*g - 38*g = 0.
0, 2
Factor -36/17*r**2 + 54/17 + 0*r - 2/17*r**4 + 16/17*r**3.
-2*(r - 3)**3*(r + 1)/17
Let f(k) be the third derivative of k**6/72 + k**5/6 + 5*k**4/8 + 10*k**3/9 + k**2 - 8*k. Factor f(d).
5*(d + 1)**2*(d + 4)/3
Let b be ((-16)/4)/(-2) + -9. Let w(t) = -t - 3. Let h be w(b). Determine g, given that h*g**4 + 0*g**3 - 3*g**3 + 11*g**3 - 8*g - 4 = 0.
-1, 1
Let i be (93/15)/((-2816)/(-1100) + (-15)/6). Factor -272/3*r + 50/3*r**3 + 56/3 + i*r**2.
2*(r + 7)*(5*r - 2)**2/3
Let x(l) = 11*l**2 - 4*l**3 + 3 + 0 + 3 - 6*l - 13*l**2. Let h(v) = -3*v**3 - 2*v**2 - 5*v + 5. Let m(b) = 6*h(b) - 5*x(b). Find k such that m(k) = 0.
0, 1
Let o(w) be the second derivative of w**8/2520 - w**7/630 + w**5/90 - w**4/36 - 2*w**3/3 + 15*w. Let c(h) be the second derivative of o(h). Factor c(y).
2*(y - 1)**3*(y + 1)/3
Let y(v) be the first derivative of -2*v**5/45 - 11*v**4/18 - 20*v**3/27 + 29. Factor y(h).
-2*h**2*(h + 1)*(h + 10)/9
Let c(b) be the second derivative of b**7/168 + b**6/30 + b**5/20 - b**4/24 - 5*b**3/24 - b**2/4 - 4*b - 6. Factor c(h).
(h - 1)*(h + 1)**3*(h + 2)/4
Let r(l) be the second derivative of l**6/12 - 305*l**4/24 - 70*l**3 - 135*l**2 - 475*l. Let r(n) = 0. Calculate n.
-6, -2, -1, 9
Let d(u) = -u**5 + u**4 - u**3 - u**2 + 1. Let k(l) = -5*l**5 + 2*l**4 + 3*l**3 + 16*l**2 + 12*l + 4. Let p(s) = -20*d(s) + 5*k(s). Solve p(z) = 0.
-2, -1, 0, 3
Let x(k) be the third derivative of -k**7/35 + 17*k**6/120 - k**5/30 - 23*k**4/24 + 7*k**3/3 - 81*k**2. Factor x(h).
-(h - 2)*(h - 1)**2*(6*h + 7)
Let w(o) = o**3 + o**2 - 6*o. Let y be w(2). Factor y*a + 0 + 0*a**2 - 3/7*a**4 + 0*a**3.
-3*a**4/7
Let n(b) = -b**3 - 20*b**2 + b + 12. Let o be n(-20). Let r be (o/(-2))/(-8)*-2 - -1. Factor -3/2 - 1/6*t**r + t.
-(t - 3)**2/6
Let w(q) be the third derivative of q**8/112 - 9*q**7/70 + 27*q**6/40 - 27*q**5/20 + q**2 + 16. Factor w(u).
3*u**2*(u - 3)**3
Let x(v) be the first derivative of -v**7/5040 + v**6/2160 + v**5/144 + v**4/48 - 4*v**3/3 + 7. Let j(a) be the third derivative of x(a). Factor j(g).
-(g - 3)*(g + 1)**2/6
Let r(u) = -2*u**5 - 32*u**4 - 108*u**3 - 140*u**2 - 92*u - 18. Let z(h) = 2*h**2 + h + 1. Let p(k) = -2*r(k) + 12*z(k). Let p(b) = 0. Calculate b.
-12, -1
Let m(w) be the first derivative of 1/12*w**4 - 1/18*w**3 + 1/15*w**5 - 2 + 3*w + 0*w**2. Let r(k) be the first derivative of m(k). Factor r(i).
i*(i + 1)*(4*i - 1)/3
Let b be 12/11*((-1605)/(-120) - 13)*2. Factor -4/11*k**2 - 2/11 + b*k.
-(k - 2)*(4*k - 1)/11
Let c be (-2)/(-17) + 1529/1309. Factor c + 1/7*i**2 - 6/7*i.
(i - 3)**2/7
Suppose 246 - 216 = 5*t. Let h(y) be the second derivative of -1/2*y**4 + 0 + 1/10*y**6 + 3/2*y**2 - t*y + 0*y**5 + 0*y**3. Factor h(b).
3*(b - 1)**2*(b + 1)**2
Let l(r) = -r**4 - r**3 - r**2 + 1. Let v = 22 - 19. Let k(h) = 5*h**3 - 2*h**v + 4*h**3 - 4*h**3 - 6 + 9*h**2. Let a(t) = -k(t) - 3*l(t). Factor a(j).
3*(j - 1)**2*(j + 1)**2
Let t = 4 + -2. Suppose 15*i - 7 = -5*y + 14*i, 0 = -4*y + 3*i + 17. Factor -6*x + 2*x**3 - t*x**y + 5*x - 10*x + x - 6.
2*(x - 3)*(x + 1)**2
Let s = 4435/68 + -1096/17. Find d such that 0 + 3/4*d**2 + 1/4*d**5 + 1/4*d**3 - 1/2*d - s*d**4 = 0.
-1, 0, 1, 2
Suppose t + 2 = 0, 2*u + 2*t = 14 + 2. Suppose u*a + 72 = 13*a. Factor -5*i**3 + 12*i + 0*i**3 - 4 - 27*i**2 + a*i**2.
-(i - 1)*(i + 2)*(5*i - 2)
Let o be (-1)/(-2) + (-9)/((-792)/(-740)). Let x = o + 501/55. Find g such that x*g**2 + 9/5*g + 1/5*g**3 + 0 = 0.
-3, 0
Let g(f) be the third derivative of 11*f**7/630 - 31*f**6/360 - f**5/30 - 117*f**2. Determine h so that g(h) = 0.
-2/11, 0, 3
Let z(u) = -u**2 - 957*u + 5783. Let i be z(6). Factor -2/9*r**4 + 10/9*r**2 + 2/3*r**3 - 2/9*r**i + 4/9*r + 0.
-2*r*(r - 2)*(r + 1)**3/9
Factor 0 + 0*k - 2/17*k**2 + 2/17*k**3.
2*k**2*(k - 1)/17
Let d(m) be the first derivative of -2*m**5/65 - 5*m**4/13 + 22*m**3/39 - 136. Let d(q) = 0. What is q?
-11, 0, 1
Let x(j) be the second derivative of -j**7/21 - j**6/5 - j**5/5 + j**4/3 + j**3 + j**2 + j - 11. Factor x(s).
-2*(s - 1)*(s + 1)**4
Let v(h) = h**5 - h**4 - h**3 + h. Let q(i) = -5*i**5 + 12*i**4 - i**3 - 6*i. Let k(r) = -q(r) - 6*v(r). Factor k(g).
-g**3*(g - 1)*(g + 7)
Factor -42 + 6611*h**2 + 43*h - 3*h - 6609*h**2.
2*(h - 1)*(h + 21)
Find c, given that -c**5 - 8*c**2 + 4*c**2 - 4*c**2 + 17*c**3 - 2*c**2 - 16*c - 3*c**4 + c**2 + 12 = 0.
-6, -1, 1, 2
Let x(p) = -25*p**4 + 436*p**3 - 411*p**2 + 11*p - 11. Let o(a) = 5*a**4 - 87*a**3 + 82*a**2 - 2*a + 2. Let l(s) = 11*o(s) + 2*x(s). Factor l(k).
5*k**2*(k - 16)*(k - 1)
Let m(r) be the third derivative of r**6/30 - 2*r**5/15 - 7*r**4/6 - 8*r**3/3 - 40*r**2. Factor m(h).
4*(h - 4)*(h + 1)**2
Let p(v) be the second derivative of v**4/4 + 2*v**3 + 9*v**2/2 + 19*v - 1. Suppose p(d) = 0. What is d?
-3, -1
Let h(t) be the third derivative of -5*t**8/504 - 2*t**7/35 + 2*t**6/45 - 314*t**2. Factor h(a).
-2*a**3*(a + 4)*(5*a - 2)/3
Factor c**3 - 1/2 + 13/6*c**2 + 2/3*c.
(c + 1)*(2*c + 3)*(3*c - 1)/6
Suppose 5*j - 13 = 7. Suppose 5*b + 2 = n - 5, 5*b = j*n - 13. Factor 0*o**4 + 4*o**3 + 0*o**2 + o**n + o**5 + 3*o**4 - o**3.
o**2*(o + 1)**3
Let i = 94454/1771 + -2/5313. Factor -472/3*v**3 - 27*v**5 + i*v**2 - 16/3*v + 120*v**4 + 0.
-v*(v - 2)**2*(9*v - 2)**2/3
Let w be (-6)/(-24) - 38/(-8). Find i such that -w*i**2 - 16 - 8*i - 17*i + 2 - 6 = 0.
-4, -1
Factor -5/3*k - 8 + 1/3*k**2.
(k - 8)*(k + 3)/3
Let j(a) = -a**2 + 17*a - 30. Let m be j(15). Let z(k) be the third derivative of -3*k**2 + 0 + m*k**3 - 1/20*k**5 - 1/4*k**4 + 0*k. Factor z(p).
-3*p*(p + 2)
Let o be 4 - ((2 - -2) + (-34)/119). Suppose 2/7*u - 4/7 + 4/7*u**2 - o*u**3 = 0. What is u?
-1, 1, 2
Let a be (-58 - -2)*(-10 + 9). Let g be (3/(-20))/((-14)/a). Factor -g*q**2 - 3/5*q**3 + 0 + 6/5*q.
-3*q*(q - 1)*(q + 2)/5
Suppose -y = -4*y + 9. Suppose -2*q - 5*t + 97 = 0, y*q - 5*t + 0*t - 108 = 0. Suppose 3*s**5 - q*s**4 + 7*s**5 + 4*s**2 - 10*s**3 + 37*s**4 = 0. Calculate s.
-1, 0, 2/5, 1
Let x(d) = 6*d - 2. Let r(o) = -7*o + 2. Let c(k) = -4*r(k) - 5*x(k). Let n be c(0). Factor 1/3*a**n - 1/3 + 0*a.
(a - 1)*(a + 1)/3
Let z(l) = -6*l**2 - 5*l**2 - l**3 + 1 - 18*l + 3 - 2. Let k be z(-9). Factor 8*i - 7*i**2 - 4*i**k - 3*i**3 + 5*i**3 + i**2.
2*i*(i - 4)*(i - 1)
Let j(t) = -t - 1. Let p(a) = -2*a**3 - a - 3. Suppose -2*c - 3 = 3. Let s(z) = c*j(z) + p(z). Determine f so that s(f) = 0.
-1, 0, 1
Let j be 20 + -20 + 0/1. Let b(r) be the second derivative of 5/6*r**3 - 1/6*r**6 - 1/4*r**5 - 3*r + 5/12*r**4 + 0*r**2 + j. Determine v, given that b(v) = 0.
-1, 0, 1
Find b such that 1/7*b**3 - 5/7*b**2 - 4/7 + 8/7*b = 0.
1, 2
Let v(i) be the first derivative of 5*i**6/24 - i**5/2 - 15*i**4/16 - 659. Factor v(h).
5*h**3*(h - 3)*(h + 1)/4
Let j(v) be the first derivative of -v**4 + 68*v**3/3 + 74*v**2 + 76*v + 503. Factor j(x).
-4*(x - 19)*(x + 1)**2
Let b = -26580735/259 - -102627. Let i 