 u**7/105 + 3*u**6/20 - 11*u**5/30 - 3*u**4/4 + 10*u**3/3 + u**2 + 6*u. Factor i(y).
2*(y - 1)**2*(y + 1)*(y + 10)
Let h be (-4758)/(-1590) + -1 + -2. Let p = 1042/2385 - h. Factor p*n**2 - 2/3*n**4 + 0 + 0*n + 2/9*n**3.
-2*n**2*(n - 1)*(3*n + 2)/9
Let q(i) = -i**2. Let l(u) = u**2. Suppose 0 = -4*x, 4*p + 4*x - 27 = -11. Let a(t) = p*q(t) + l(t). Factor a(n).
-3*n**2
Let u be 64/48*42/4. Let w = -14 + u. Factor -1/2*f - 3/4*f**2 - 1/4*f**3 + w.
-f*(f + 1)*(f + 2)/4
Let a = 211/9 - 23. Factor -2/9*n**2 + a*n + 0.
-2*n*(n - 2)/9
Let y be 35/(-15) + 1/3. Let s be (-4 + (-2 - -4))*y. Let -1/2*d**5 + d**s + 0*d + 0 + 0*d**2 - 1/2*d**3 = 0. What is d?
0, 1
Let d be 3/(-9)*16/(-24). Factor 8/9*v + 8/9*v**3 - 2/9 - 4/3*v**2 - d*v**4.
-2*(v - 1)**4/9
Let -3*q**2 - 4 + 18*q - 12*q**2 - 2 + 3*q = 0. Calculate q.
2/5, 1
Factor 0*s + 0 - 5/7*s**4 + 0*s**2 + 2/7*s**3.
-s**3*(5*s - 2)/7
Let b(t) = -t**2 + t. Let c(g) = -4*g**4 + 12*g**3 - 11*g**2 + 3*g. Let h(k) = -3*b(k) + c(k). Factor h(w).
-4*w**2*(w - 2)*(w - 1)
Let k(c) be the second derivative of 7*c**7/54 - 7*c**6/90 - 2*c**5/15 - c**4/27 + 16*c. Factor k(y).
y**2*(y - 1)*(7*y + 2)**2/9
Let l(w) be the first derivative of -2*w + 1/42*w**4 + 1 + 2/21*w**3 + 1/7*w**2. Let y(b) be the first derivative of l(b). Factor y(c).
2*(c + 1)**2/7
Let r(u) be the third derivative of 0*u**4 - 1/240*u**6 + 0*u - u**2 + 0*u**3 + 0 - 1/420*u**7 + 0*u**5. Let r(i) = 0. What is i?
-1, 0
Let f(t) be the first derivative of -2*t**3/3 - 3*t**2 - 4*t - 5. Let j(q) = -q**2 - 3*q - 2. Let v(b) = 6*f(b) - 14*j(b). Suppose v(s) = 0. Calculate s.
-2, -1
Let c = 29 - 29. Let i(l) be the third derivative of 2/105*l**7 + 0*l**4 + 0 + 0*l**3 + 0*l**6 + 2*l**2 + c*l**5 + 1/56*l**8 + 0*l. Find g, given that i(g) = 0.
-2/3, 0
Let y(x) be the first derivative of x**3/6 - 2*x**2 + 8*x - 8. Determine s so that y(s) = 0.
4
Let h = -11 + 13. Let p be 426/15 - 4/10. Suppose -o**h - o + p + o**3 - 28 + o**4 = 0. What is o?
-1, 0, 1
Let x(c) be the first derivative of 2*c**3/11 - 3*c**2/11 + 14. Factor x(p).
6*p*(p - 1)/11
Let v = -313 - -627/2. What is a in -1/2 + 1/2*a**3 + 1/2*a**2 - v*a = 0?
-1, 1
Suppose 7*x = 38 + 4. Let l(q) be the second derivative of 4/5*q**x + 0*q**2 + 9/10*q**5 + 0*q**3 + q + 5/21*q**7 + 1/3*q**4 + 0. Factor l(a).
2*a**2*(a + 1)**2*(5*a + 2)
Let z(m) be the first derivative of 3*m**4/4 + 3*m**3 + 9*m**2/2 + 3*m + 21. Determine v so that z(v) = 0.
-1
Let h(c) = c**2 + 9*c. Let w be h(-10). Let z be (-10)/(-8) + w + -11. Factor -z*p**2 + 1/4*p - 1/4*p**3 + 1/4.
-(p - 1)*(p + 1)**2/4
Suppose 0 = 2*s + 5 - 9. Let -3/4*a**s + 9/4*a - 3/2 = 0. What is a?
1, 2
Let k(t) be the third derivative of -t**5/120 - t**4/48 + t**3/6 - 9*t**2. Factor k(w).
-(w - 1)*(w + 2)/2
Let z(v) be the second derivative of -v**5/2 + 11*v**4/3 - 23*v**3/3 + 6*v**2 + 4*v. Solve z(h) = 0 for h.
2/5, 1, 3
Let g = 326 - 1621/5. Factor -g*y**3 + 12/5*y**2 - 3/5*y + 0.
-3*y*(y - 1)*(3*y - 1)/5
Let z(j) be the first derivative of -5/9*j**2 + 8/27*j**3 + 2/9*j + 2. Let z(l) = 0. Calculate l.
1/4, 1
Let u be 20/(-25)*(-10)/4. Let x = u + 0. Solve -11*z**4 + 22*z + 5*z**x - 6*z**4 - z**3 - 21*z + 12*z**5 = 0 for z.
-1/3, -1/4, 0, 1
Factor 2*r - 2/7*r**3 + 8/7 + 4/7*r**2.
-2*(r - 4)*(r + 1)**2/7
Let r(h) be the first derivative of -16/9*h - 20/9*h**2 - 2/45*h**5 - 2 - 7/18*h**4 - 4/3*h**3. Factor r(g).
-2*(g + 1)*(g + 2)**3/9
Let t(z) be the first derivative of -z**4/12 + z**3/3 + 3*z**2/2 + 4*z + 6. Let p(g) be the first derivative of t(g). Determine x so that p(x) = 0.
-1, 3
Let f(o) = 4*o**2 - 1. Let c be f(1). Let j(w) be the second derivative of 0*w**2 + 0 + w - 1/12*w**4 + 1/6*w**c. Determine x so that j(x) = 0.
0, 1
Suppose -3*r = r + 4. Let m = r - -3. Let 0 - 2/9*d**m + 2/9*d = 0. What is d?
0, 1
Let t(k) be the third derivative of 1/8*k**4 + 0 + 1/70*k**7 + k**3 - 3/20*k**5 - 1/40*k**6 + 0*k - k**2. Factor t(c).
3*(c - 2)*(c - 1)*(c + 1)**2
Factor p**5 + 6*p**4 + 8*p**3 + 0*p**5 - 12*p + 2*p**2 - 8 + 3*p**3.
(p - 1)*(p + 1)*(p + 2)**3
Factor 5/6*o**2 - 1/2*o + 0.
o*(5*o - 3)/6
Let h(k) be the third derivative of -1/40*k**6 + k**3 + 1/5*k**5 - 5*k**2 + 0*k + 0 - 5/8*k**4. What is b in h(b) = 0?
1, 2
Suppose -2*b - 5*b = b. Let k(q) be the third derivative of 0*q**4 + 1/210*q**7 + 5/336*q**8 + 2*q**2 + b + 0*q**3 + 1/75*q**5 - 2/75*q**6 + 0*q. Factor k(v).
v**2*(v + 1)*(5*v - 2)**2/5
Suppose -7*r = -4*r - 6*r. Let p(o) be the second derivative of r*o**3 + 0*o**2 + 4*o - 1/30*o**6 - 1/12*o**4 + 1/10*o**5 + 0. Factor p(j).
-j**2*(j - 1)**2
Let h(a) be the second derivative of -81*a**6/20 + 891*a**5/40 - 87*a**4/4 + 83*a**3/9 - 2*a**2 - 4*a. Factor h(q).
-(q - 3)*(9*q - 2)**3/6
Suppose -4*d + 20 = -2*d. Suppose -11 - d = -2*b - 5*p, -3*b + 5*p - 6 = 0. Determine q so that -b*q**2 - 8*q - 3 + 0 + 5 + 9*q**2 = 0.
1/3, 1
Factor 1/3*o**5 - 5/3*o**3 - 1/3*o**4 + 0 - o**2 + 0*o.
o**2*(o - 3)*(o + 1)**2/3
Let l(g) be the first derivative of -2*g**5/35 - 2*g**4/7 - 10*g**3/21 - 2*g**2/7 - 4. Factor l(d).
-2*d*(d + 1)**2*(d + 2)/7
Let n = -371/3 - -124. Factor -1/3 + 0*q + n*q**2.
(q - 1)*(q + 1)/3
Let g(j) be the second derivative of 2*j**7/21 - 4*j**6/15 + 2*j**4/3 - 2*j**3/3 - 12*j. Factor g(q).
4*q*(q - 1)**3*(q + 1)
Let k(m) be the second derivative of 1/210*m**7 + 5*m + 1/50*m**5 + 1/50*m**6 + 0*m**4 + 0 + 0*m**2 + 0*m**3. Factor k(t).
t**3*(t + 1)*(t + 2)/5
Suppose 4*z + g - 14 = -g, 2*z - 13 = -3*g. Suppose -z*c + 5 - 3 = 0, c - 3 = -i. Factor 2*k - k**i + 0*k - k + 0*k**2.
-k*(k - 1)
Let x(h) be the second derivative of 9*h**5/20 - 17*h**4/6 + 14*h**3/3 + 4*h**2 - 3*h. Factor x(j).
(j - 2)**2*(9*j + 2)
Let j = 3200/7 - 457. What is b in 0 - j*b**2 + 0*b = 0?
0
Let b = -4 - -10. Factor b*l**4 + 15*l**5 - 7*l + 7*l.
3*l**4*(5*l + 2)
Determine z, given that 8*z - 2*z**2 - 24 - 11*z - 17*z - 6*z = 0.
-12, -1
Let p be -15*7/(63/12). Let a be (-26)/p + 8/(-10). Suppose a*y**3 - 1/2*y**2 - 1/2*y + 1/2 = 0. Calculate y.
-1, 1
Suppose 4*x = 5*z + 7 + 3, 0 = -x + 5. What is f in -2/5*f + 4/5*f**z - 2/5*f**3 + 0 = 0?
0, 1
Factor -15*u**3 + 4*u**3 + 4*u**3 + 2*u**3 - 20*u**2.
-5*u**2*(u + 4)
Let r(o) = 15*o**2 + 6*o + 1. Let d(b) be the third derivative of 2*b**2 - 1/6*b**3 + 0*b - 1/4*b**4 - 4/15*b**5 + 0. Let s(w) = -6*d(w) - 7*r(w). Factor s(f).
-(3*f + 1)**2
Let u(i) = -i**2 - 24*i + 37. Let z(y) = -2*y**2 - 36*y + 56. Let r(h) = 8*u(h) - 5*z(h). Let r(l) = 0. Calculate l.
2, 4
Let a = 136/3 + -45. Factor -a*s**4 + 0 + 1/3*s**2 - 1/3*s**3 + 1/3*s.
-s*(s - 1)*(s + 1)**2/3
Suppose 3*v - 37*x = -39*x + 5, x = -5. Factor -v*a**3 + a**2 + 16/5*a + 4/5.
-(a - 1)*(5*a + 2)**2/5
Let z be -12*(-2)/4 + -2. Let q(m) be the second derivative of -1/3*m**3 + 0 - 1/24*m**z - m**2 + m. Determine g, given that q(g) = 0.
-2
Let n(o) = o**3 - 6*o**2 + 2*o - 8. Let u be n(6). Let b = 0 + u. Determine t, given that t - t**2 + t**b - t = 0.
-1, 0, 1
Let b(v) be the second derivative of 1/36*v**4 - 1/90*v**6 + 0*v**2 + 0 + 1/60*v**5 + 2*v - 1/18*v**3. Determine y so that b(y) = 0.
-1, 0, 1
Let x(k) = k**3 - k**2. Let z(l) = -9*l**3 - 21*l**2 - 72*l - 48. Let f(g) = -6*x(g) - z(g). Factor f(m).
3*(m + 1)*(m + 4)**2
Let n(v) be the second derivative of v**4/24 - v**3/6 + v**2/4 + 6*v. Solve n(q) = 0.
1
Let g(m) be the first derivative of 2/5*m**2 - 2 + 2/15*m**3 + 0*m. Solve g(o) = 0.
-2, 0
Let r(c) = -c**2 - 13*c - 6. Let d be r(-12). Suppose -6*q**5 + d*q**2 + 9*q**5 - 2*q**4 - 3*q - 4*q**4 + 0*q**5 = 0. What is q?
-1, 0, 1
Suppose 0*z**2 + 2/11*z**3 + 0 + 0*z = 0. What is z?
0
Let h(s) = s + 1. Let g be h(2). Solve -6*r + 8*r**3 + 4*r**2 + 3 - 1 - 6*r**4 + r - g*r = 0 for r.
-1, 1/3, 1
Suppose -m + 3*x = 5, -4*x = 3*m - 1 - 23. Let s = m + 0. Suppose y**4 - 3*y**3 - y - 3*y**2 + 0*y**s - 2*y**4 = 0. What is y?
-1, 0
Let v(t) be the first derivative of t**5/270 - t**4/108 - 5*t**2/2 + 5. Let r(n) be the second derivative of v(n). Solve r(j) = 0.
0, 1
Let c(b) be the third derivative of -b**6/660 - b**5/165 + b**4/132 + 2*b**3/33 - 16*b**2. Factor c(z).
-2*(z - 1)*(z + 1)*(z + 2)/11
Let m(j) be the second derivative of -25*j**7/42 + j**6/6 + 4*j**5/5 + j**4/3 + 6*j. Let m(k) = 0. Calculate k.
-2/5, 0, 1
Let b(q) be the second derivative of 5*q**7/63 + 8*q**6/45 + q**5/30 - q**