2)*(q - 1)**2
Let s(m) = 6*m + 3. Let j(r) = -r**2 - 7*r - 4. Suppose 5*b - 7 = -g + 4*g, 3*b = 4*g + 13. Let a(c) = g*s(c) - 3*j(c). Factor a(k).
3*k*(k - 1)
Determine t, given that -2*t**4 + t**3 + t**4 + 7*t - 11*t**2 + 20*t**2 + 4 + 4*t = 0.
-1, 4
Factor 56*w**2 + 3*w**4 + 25*w**3 + 4*w**4 + 15*w - 2*w**4 - 21*w**2.
5*w*(w + 1)**2*(w + 3)
Let r be 66/(-12) + (-2)/4. Let u(a) = 10*a**3 + 16*a**2 + 8*a - 1. Let l(d) = 0*d + 9*d**3 + 9*d + 14*d**2 + 2*d**2. Let j(s) = r*l(s) + 4*u(s). Factor j(p).
-2*(p + 1)**2*(7*p + 2)
Let q(d) be the third derivative of d**6/340 - d**5/102 - d**4/51 + 4*d**3/51 - 13*d**2. Solve q(j) = 0.
-1, 2/3, 2
Let w be (-18)/3 - (2 - (-484)/(-55)). Factor -2/5*b**4 + 0 + w*b**3 - 2/5*b**5 + 0*b + 0*b**2.
-2*b**3*(b - 1)*(b + 2)/5
Let n(m) be the third derivative of 1/30*m**6 + 1/3*m**3 + 0 + 0*m**5 - 1/6*m**4 - 1/105*m**7 + 0*m - 4*m**2. Factor n(k).
-2*(k - 1)**3*(k + 1)
Suppose -70*r = -67*r - 6. Factor -1 + 3/2*k + 0*k**r - 1/2*k**3.
-(k - 1)**2*(k + 2)/2
Let h be (-15)/55*(-4)/3. Determine z so that 10/11*z - 8/11*z**2 - h + 2/11*z**3 = 0.
1, 2
Let g = 1115 + -1107. Solve g*h**2 + 6*h + 40/3*h**4 + 0 - 76/3*h**3 - 2*h**5 = 0 for h.
-1/3, 0, 1, 3
Let j(f) be the first derivative of -f**7/147 + f**5/35 - f**3/21 - 4*f - 1. Let s(g) be the first derivative of j(g). Factor s(z).
-2*z*(z - 1)**2*(z + 1)**2/7
Let r(l) be the third derivative of l**6/30 + l**5/5 + l**4/2 + 2*l**3/3 + 8*l**2. What is z in r(z) = 0?
-1
Let j = 29 - 24. Factor -4/3*x**3 + 2/3*x**j - 2/3*x**4 - 2/3 + 4/3*x**2 + 2/3*x.
2*(x - 1)**3*(x + 1)**2/3
Factor 2/21*n**2 - 2/21*n - 4/21.
2*(n - 2)*(n + 1)/21
Let p = 157 + -157. Let a(b) be the second derivative of -3*b - 1/3*b**3 - 1/6*b**4 + p*b**2 + 0. Factor a(d).
-2*d*(d + 1)
Let r be 11/(-3) + 10/(-30). Let q be ((-8)/r)/((-4)/(-8)). Solve -2/3*b**q + 2/3*b - 4/9*b**3 - 2/9*b**5 + 2/9 + 4/9*b**2 = 0.
-1, 1
Suppose 22 = -194*u + 205*u. Determine c so that 2/7*c**4 - 6/7*c**u + 0*c**3 - 4/7*c + 0 = 0.
-1, 0, 2
Suppose 4*x + 0 - 8 = 0. Let k(v) = -v - 3*v**2 + 0 + 1 + x*v**2. Let o(d) = -d**2. Let f(u) = 4*k(u) - 5*o(u). Factor f(i).
(i - 2)**2
Let z(d) be the first derivative of d**4/4 - d**3/3 - 2*d**2 + 4*d + 34. Factor z(n).
(n - 2)*(n - 1)*(n + 2)
Let x(c) be the first derivative of -3 - c**2 - c - 1/12*c**4 + 1/2*c**3. Let b(j) be the first derivative of x(j). Determine n, given that b(n) = 0.
1, 2
Suppose -5*d - 2*l + 24 = 2*l, -2*d + 28 = -3*l. Factor -t**3 + d*t**2 - 4*t + 3*t - 6*t**2.
-t*(t - 1)**2
Let y(c) be the third derivative of c**8/2016 - c**7/1260 - c**6/720 + c**5/360 + 44*c**2. Suppose y(s) = 0. Calculate s.
-1, 0, 1
Let i(j) be the third derivative of -j**6/108 + j**5/30 + j**4/54 + 36*j**2. Factor i(y).
-2*y*(y - 2)*(5*y + 1)/9
Let b = 19/3 + -29/6. Factor q**2 + b*q**3 + 0*q + 0 - 9/2*q**4.
-q**2*(3*q - 2)*(3*q + 1)/2
Suppose 0*m - 10 = -5*m. Factor -z + z**3 - z - 16 + 14 - 3*z**m - 3*z + z**4.
(z - 2)*(z + 1)**3
Let i(r) be the third derivative of 5/24*r**4 + 0 + 1/3*r**3 + 0*r + 1/15*r**5 + 3*r**2 + 1/120*r**6. Factor i(g).
(g + 1)**2*(g + 2)
Let f(k) be the second derivative of k**6/20 - 3*k**5/20 + k**3/2 - 3*k**2/4 + 9*k. Factor f(s).
3*(s - 1)**3*(s + 1)/2
Find d, given that -44*d**3 - 70*d**2 - 32*d**5 - 8 - 16*d**4 + 30*d**5 - 24*d - 10*d + 14*d**2 = 0.
-4, -1
Let n(v) be the first derivative of -v**8/672 - v**7/70 - v**6/20 - v**5/15 - 3*v**2 - 4. Let d(q) be the second derivative of n(q). Factor d(p).
-p**2*(p + 2)**3/2
Let s(d) be the third derivative of -d**8/336 - d**7/90 - d**6/90 + d**4/8 - 5*d**2. Let x(n) be the second derivative of s(n). Factor x(i).
-4*i*(i + 1)*(5*i + 2)
Suppose -a - 1 + 0 = -4*p, 2*a = -2*p - 2. Determine w, given that -1/5*w**3 + 0 + p*w + 1/5*w**2 = 0.
0, 1
Factor 32/7 - 160/7*f + 288/7*f**2 + 54/7*f**4 - 216/7*f**3.
2*(f - 2)*(3*f - 2)**3/7
Let y(w) = 3*w**3 - 47*w**2 - 289*w - 681. Let u(r) = -2*r**3 + 46*r**2 + 290*r + 682. Let m(o) = 5*u(o) + 4*y(o). Factor m(s).
2*(s + 7)**3
Let j(p) be the first derivative of -3*p**4/4 - 3*p**3 + 12*p + 3. Factor j(n).
-3*(n - 1)*(n + 2)**2
Let n(f) = -f**3 + 4*f**2 - 5*f + 5. Let z be n(2). Let w(s) be the third derivative of 0 - 2*s**2 + 0*s**z - 1/72*s**4 + 0*s - 1/180*s**5. Solve w(p) = 0.
-1, 0
Let o be 4/(1 + (-2)/(-6)). Let t = -4 - -8. Factor 0 + 8/3*z**o - 4/3*z + 2/3*z**2 - 2*z**t.
-2*z*(z - 1)**2*(3*z + 2)/3
Let p(r) = r**2 + 5*r + 3. Let x be p(-5). Factor -6*g - 6*g + 4*g**3 + 3*g**4 - 16*g**3 + x + 18*g**2.
3*(g - 1)**4
Suppose 3*h + 2*h - 3*g = -73, 2*h = -g - 27. Let y = 20 + h. Factor -9*v**4 + y*v**2 + 4*v - v**3 + 3*v**4 - 3*v**3.
-2*v*(v - 1)*(v + 1)*(3*v + 2)
What is o in 27 + 15*o**5 + 160*o + 35*o**4 - 75*o**2 - 75*o**3 - 38 - 49 = 0?
-3, -2, 2/3, 1
Suppose 2*g + 15 = 7*g, 0 = 3*d - 2*g + 1377. Let k = 2293/5 + d. Factor -2/5*j**2 - 8/5 + k*j.
-2*(j - 2)**2/5
Find m, given that -9/4 + 3/2*m - 1/4*m**2 = 0.
3
Let b(v) be the first derivative of -v**3/33 - v**2/11 - 27. Factor b(l).
-l*(l + 2)/11
Let n(i) = -i + 9. Let q be n(4). Let u = q - 3. Let 3*z**2 + 2*z**5 - 3*z**2 - u*z**3 = 0. Calculate z.
-1, 0, 1
Let y = -210 - -210. What is d in y + 2/5*d**2 + 2/5*d = 0?
-1, 0
Let y be 10/(-80)*(2 + -8). Determine z so that 0*z**4 + 0 - 3/2*z**3 + 0*z**2 + y*z**5 + 3/4*z = 0.
-1, 0, 1
Suppose 0*q + 16 = 2*q - 4*c, 10 = 3*q + c. Let y(b) = 2*b - 5. Let x be y(q). Factor -3*s**4 + 3*s - 6 - 2*s**4 - x*s**3 + 4 + 7*s**2.
-(s - 1)*(s + 1)**2*(5*s - 2)
Let n = -134/3 - -45. Let g be 1 - 3 - 7/(-3). Factor -n + g*j**3 + 1/3*j**2 - 1/3*j.
(j - 1)*(j + 1)**2/3
Let s be (-162)/(-40) - (-15 + 19). Let l = 3/10 - s. Determine n so that 1/4*n**2 + l*n**3 + 0 + 0*n = 0.
-1, 0
Suppose 4*b = -91 + 107. Let f(h) be the third derivative of -1/10*h**5 - 4*h**2 + 0*h**3 - 1/70*h**7 + 0*h + 0*h**b + 0 - 3/40*h**6. Factor f(q).
-3*q**2*(q + 1)*(q + 2)
Let w(k) be the first derivative of -k**6/900 + k**5/150 - k**4/60 - k**3/3 + 2. Let a(z) be the third derivative of w(z). Factor a(x).
-2*(x - 1)**2/5
Let o be 26/(-104) - (-4)/2. Factor -1/4 - 3/2*b**2 + 1/2*b**3 + o*b**4 + 3/4*b**5 - 5/4*b.
(b - 1)*(b + 1)**3*(3*b + 1)/4
Let p(w) = 9*w**2 + 35*w + 100. Let j(x) = -28*x**2 - 104*x - 300. Let o(g) = 5*j(g) + 16*p(g). Factor o(z).
4*(z + 5)**2
Let u(q) = q**2 - q + 1. Let t(c) = -5*c**2 - 7*c - 8. Let g(y) = 4*y**2 + 7*y + 7. Let w(k) = 7*g(k) + 6*t(k). Let f(a) = 6*u(a) + 2*w(a). Factor f(l).
2*(l + 2)**2
Solve -8*s**2 + 0*s + 16*s**4 + 0 - 44/3*s**3 + 20/3*s**5 = 0 for s.
-3, -2/5, 0, 1
Let a = -62753/7 + 9034. Let n = a + -69. Let 4/7 - 4/7*t**3 + 4/7*t**4 + 2/7*t + n*t**5 - 8/7*t**2 = 0. Calculate t.
-2, -1, 1
Let p be (-2)/(-1) + 6 + -4. Let m(n) be the third derivative of 0 + 0*n + p*n**2 - 1/8*n**4 + 1/40*n**6 + 1/20*n**5 - 1/2*n**3. Factor m(w).
3*(w - 1)*(w + 1)**2
Suppose -2*r = -v - 2 - 3, -3*v = -3*r + 9. Let -7*q**2 + 12*q**2 + 6*q - 2*q**r = 0. Calculate q.
-2, 0
Find q such that -24/7*q + 3/7*q**2 + 3 = 0.
1, 7
Let c(k) be the third derivative of k**8/42 - k**7/21 - k**6/20 + k**5/6 - k**4/12 - 31*k**2. Let c(s) = 0. Calculate s.
-1, 0, 1/4, 1
Let r(q) be the second derivative of q**7/70 - q**6/10 + 27*q**5/100 - 7*q**4/20 + q**3/5 - 2*q. Factor r(k).
3*k*(k - 2)*(k - 1)**3/5
Let y be 15/(-2)*37/(-6). Let k = -46 + y. Factor 1/4*g + 0 - k*g**2.
-g*(g - 1)/4
Let k(v) be the first derivative of -1/9*v**2 + 0*v + 4/27*v**3 - 1. Let k(o) = 0. What is o?
0, 1/2
Suppose m - 4*o - 15 = 0, 2*m + 2 = -o + 5. Let y(r) be the second derivative of 1/24*r**4 + 0 - 3*r + 0*r**2 + 1/120*r**5 + 1/18*r**m. Factor y(l).
l*(l + 1)*(l + 2)/6
Suppose 3*r = 5*o + 38 - 0, -2*o - 20 = -2*r. Solve 11*l + 2 + r + 2*l**2 - 3*l + 0*l = 0.
-2
Suppose -v - n + 18 = -3*v, -2*n = -v - 12. Let t be v/(-10)*2/8. Let 0 + t*u**2 - 1/5*u = 0. What is u?
0, 1
Let v = 11 + -8. Factor 4*b**4 - 3*b**4 + b**3 - b**3 - b**v.
b**3*(b - 1)
Let s be 22/(-3) - 9/(-27). Let v = s - -11. Factor y**5 - y**2 - 5*y**3 + 2*y**2 + 3*y**3 + y**3 - y**v.
y**2*(y - 1)**2*(y + 1)
Let b(n) be the second derivative of 2*n**2 - 1/3*n**3 + 0 - 1/6*n**4 - 7*n. Factor b(l).
-2*(l - 1)*(l + 2)
Let m(d) be the second derivative of -1/21*d**3 + 0 + d - 1/42*d**4 + 0*d**2. Suppose m(b) = 0. What is b?
-1, 0
Let z(m) be the second derivative of -m**8/2