2 + 3*r - 3. Let v(u) = -3*f(u) - y(u). Factor v(w).
2*w**2*(w - 1)*(7*w - 2)
Let y = 220 - 341/2. Find t, given that 24*t - y*t**4 - 24*t**3 + 60*t**2 - 27/2*t**5 - 24 = 0.
-2, -1, 2/3
Let i = -45 + 17. Let h be 0*(i/(-8) + -3). Solve -2/3*k**4 + 2/3*k**2 + h*k + 0 + 0*k**3 = 0.
-1, 0, 1
Let g be ((-12)/(-9))/((-6)/(-9)). Let s(o) be the third derivative of 0 + 0*o**5 + 1/15*o**3 - 2*o**g - 1/525*o**7 - 1/150*o**6 + 0*o + 1/30*o**4. Factor s(q).
-2*(q - 1)*(q + 1)**3/5
Let w(a) be the third derivative of -77*a**5/480 + 3*a**4/16 - a**3/12 + 9*a**2. Solve w(q) = 0.
2/11, 2/7
Let g be (-10)/(-35) + 26/56. Suppose -5*a = -0*a - 10. Factor 3 + 3*c + g*c**a.
3*(c + 2)**2/4
Let r = 20 - 18. Let g(k) be the third derivative of 1/24*k**4 + 0 - k**r - 1/120*k**6 + 0*k**5 + 0*k**3 + 0*k. Let g(d) = 0. What is d?
-1, 0, 1
Let j be (-1)/((-26)/18 - 4/(-36)). Solve -j*c**2 + 0*c + 3/4 = 0.
-1, 1
Let v(x) = 2*x**2 - 38*x + 5. Let h be v(19). Let 2*d**3 - 1/4 - 1/4*d**4 - d - d**h + 1/2*d**2 = 0. Calculate d.
-1, -1/4, 1
Let h(n) = -3*n + 9. Let t be h(3). Factor -1/3*y**2 - 1/3*y + t.
-y*(y + 1)/3
Let r(o) be the second derivative of -o**5/30 - 7*o**2/2 - o. Let b(x) be the first derivative of r(x). Solve b(d) = 0.
0
Suppose 2*x**2 - 2/5*x - 2 + 2/5*x**3 = 0. Calculate x.
-5, -1, 1
Let p(x) be the second derivative of 13*x**4/9 - 38*x**3/27 + 4*x**2/9 + 3*x. Find i such that p(i) = 0.
2/13, 1/3
Let s = -72 + 72. Factor -4/11*l**3 + 0*l + 2/11*l**4 + s + 2/11*l**2.
2*l**2*(l - 1)**2/11
What is b in -3 + 0*b**2 + 0*b**2 + 3*b**2 - 3*b**3 + 3*b + 0*b**2 = 0?
-1, 1
Suppose -a**4 + 6*a**2 + 2 + 3 + 20*a + 6*a**4 + 24*a**2 + 20*a**3 = 0. What is a?
-1
Suppose 5*b**2 - 2*b - b**2 - 5*b**2 + 6*b = 0. Calculate b.
0, 4
Let b(f) be the first derivative of f**7/42 - f**5/20 + 2*f + 3. Let r(w) be the first derivative of b(w). Factor r(a).
a**3*(a - 1)*(a + 1)
Let h be (-3 + 2)*6*-1. Let a = h - 4. Factor 2*o + 2 + o**2 - 2*o**a - 3*o.
-(o - 1)*(o + 2)
Let c(t) be the third derivative of t**7/210 + t**6/60 - t**5/20 - 18*t**2. Factor c(x).
x**2*(x - 1)*(x + 3)
Let v(g) be the third derivative of 7*g**5/130 - g**4/12 + 2*g**3/39 - 6*g**2. Suppose v(x) = 0. Calculate x.
2/7, 1/3
What is c in -10/11*c**2 - 6/11 - 2/11*c**3 - 14/11*c = 0?
-3, -1
Let n(x) be the second derivative of 1/120*x**6 + 0 + 1/8*x**2 + 0*x**5 - 1/24*x**4 + 0*x**3 - 6*x. Factor n(q).
(q - 1)**2*(q + 1)**2/4
Let u(v) be the first derivative of -2 + 0*v + v**2 + 7/3*v**3 - 9/4*v**4. What is o in u(o) = 0?
-2/9, 0, 1
Let o(n) be the second derivative of n**7/63 + 2*n**6/45 - n**5/15 - 4*n**4/9 - 7*n**3/9 - 2*n**2/3 + 22*n. Factor o(v).
2*(v - 2)*(v + 1)**4/3
Let s = 1/92 - -45/92. Determine r so that r**5 + 2*r**2 + 0*r - s - 3/2*r**4 - r**3 = 0.
-1, -1/2, 1
Suppose -1 = -4*h - 5, -f - 2 = 2*h. Find o such that f*o**2 + 0 - 1/5*o**3 + 0*o - 3/5*o**4 - 2/5*o**5 = 0.
-1, -1/2, 0
Solve 0 + 2/7*l**3 + 2/7*l**2 - 2/7*l**4 - 2/7*l = 0.
-1, 0, 1
Let n(v) be the first derivative of 2*v**5/25 - v**4/5 - 3. Factor n(h).
2*h**3*(h - 2)/5
Factor -2*o + o - 5*o**2 + 0*o - 3*o**4 + 0*o - 7*o**3.
-o*(o + 1)**2*(3*o + 1)
Let a be (1/10)/(1/8). Determine c, given that 2/5*c**5 + 0 + a*c**4 + 0*c + 0*c**2 + 0*c**3 = 0.
-2, 0
Let h(k) be the first derivative of -2/3*k**3 - k**2 - 2/3*k - 1/6*k**4 + 1. Factor h(l).
-2*(l + 1)**3/3
Let v = 90279/226 + -799/2. Let s = 355/452 + v. Find h, given that 0*h - s*h**3 + 3/4*h**5 + 0*h**2 + 0*h**4 + 0 = 0.
-1, 0, 1
Let n(p) be the second derivative of p**6/360 - p**5/60 + 3*p**3/2 + 8*p. Let t(f) be the second derivative of n(f). Factor t(o).
o*(o - 2)
Let k be (2/6)/(2/30). Let t = k - 3. Suppose -b**5 - 5*b**t + b**3 - 1 - b - b**4 + b**3 + 7*b**2 = 0. What is b?
-1, 1
Let q be (-116)/16 + 4/(-4). Let o = q + 9. Suppose 0 - 3/2*s**2 + 0*s**3 - o*s**5 + 3/4*s + 3/2*s**4 = 0. What is s?
-1, 0, 1
Let y(l) = -l**3 - 7*l**2 - 2*l - 10. Let s be y(-7). Factor 1 + 2*i**4 + 2*i**3 + 3*i - 4*i - i - 3*i**s.
-(i - 1)**3*(i + 1)
Suppose -146 = 2*r - 20. Let m = -187/3 - r. Factor -22/3*b**4 - m*b**2 - 6*b**3 - 8/3*b**5 + 2/3*b + 0.
-2*b*(b + 1)**3*(4*b - 1)/3
Let c = 14/9 - 8/9. Factor 0 + 4/3*p**3 + c*p**2 - 2*p**4 + 0*p.
-2*p**2*(p - 1)*(3*p + 1)/3
Let g(a) = a**3 - a**2 + a - 1. Suppose -2*o = 7 + 1. Let b(s) = 5*s**3 - 8*s**2 + 8*s - 4. Let j(k) = o*g(k) + b(k). Find p, given that j(p) = 0.
0, 2
Factor 77 + 10*u**2 - 77 - 4*u + 6*u**3.
2*u*(u + 2)*(3*u - 1)
Let v be 3*(-1 - 0)*(-3 + 2). Let m(b) be the first derivative of 5*b**2 + 1/2*b**4 - v + 8/3*b**3 + 4*b. Suppose m(k) = 0. What is k?
-2, -1
Find p such that -3/2 - 1/2*p**2 - 2*p = 0.
-3, -1
Let d(u) = -3*u**2 - 15*u. Let r(y) = 2*y**2 + 8*y. Suppose -4*h + 26 = -2*v, 2*v + 2*h + 24 = 7*h. Let q = v + 10. Let c(b) = q*r(b) - 4*d(b). Factor c(x).
-2*x*(x - 2)
Let n(m) = -4*m**2 - 3*m - 5. Let c = -12 + -2. Let g(t) = 9*t**2 + 6*t + 11. Let z(o) = c*n(o) - 6*g(o). Factor z(b).
2*(b + 1)*(b + 2)
Determine l so that 4 + 16*l**2 + l**3 - 2*l**5 + 85*l - 4*l**4 - 71*l + 3*l**3 = 0.
-1, 2
Let h be 2/7 - (-4)/(-14). Suppose b + h = 2. Factor c - c**3 + c**5 - c + 0*c**2 + c**b - c**4.
c**2*(c - 1)**2*(c + 1)
Let m = -13 - -15. Let l(u) be the second derivative of 0 + 1/15*u**4 + 1/50*u**5 + 2*u + 1/15*u**3 + 0*u**m. Factor l(b).
2*b*(b + 1)**2/5
Let t(a) be the first derivative of -a**4 + 10*a**3/3 + 4*a**2 - 6*a + 7. Factor t(u).
-2*(u - 3)*(u + 1)*(2*u - 1)
Let l(n) be the third derivative of 1/168*n**8 + 0*n + 0*n**5 + 3*n**2 + 0*n**3 + 0*n**4 - 1/60*n**6 + 0*n**7 + 0. Factor l(g).
2*g**3*(g - 1)*(g + 1)
Let r = -1705/4 - -427. Factor 3/4 + 0*g - r*g**2.
-3*(g - 1)*(g + 1)/4
Let n(j) = -2*j**4 + 4*j**3 - 2*j**2 - 4*j. Let u(h) = h**4 + h**2 + h. Suppose 2 = -k + 1. Let v(p) = k*n(p) - 4*u(p). Factor v(q).
-2*q**2*(q + 1)**2
Let a(n) be the first derivative of 2*n**3/15 - 8*n**2/5 + 32*n/5 + 1. Factor a(q).
2*(q - 4)**2/5
Let r(m) = 7*m - 33. Let q be r(5). Factor -1 - 13/2*g - 9/2*g**3 - 10*g**q.
-(g + 1)**2*(9*g + 2)/2
Let l be ((-13)/(13/(-2)))/1. Factor -5/2*a**3 + 4*a**l + 0 - 2*a + 1/2*a**4.
a*(a - 2)**2*(a - 1)/2
Let c be 6 - ((-3)/(-1) - 1). Factor -6*k + 0*k**c - 7*k**4 + 0*k + 27*k**2 - 5*k**4 - 9*k**3.
-3*k*(k - 1)*(k + 2)*(4*k - 1)
Let m(c) be the second derivative of 3*c**5/20 + c**4 + 3*c**3/2 + 3*c. Suppose m(k) = 0. Calculate k.
-3, -1, 0
Factor 6*y**3 - y**5 - y**5 + y**4 - 3*y**4 + 6*y**4.
-2*y**3*(y - 3)*(y + 1)
Let q be 24/10*25/10 + -1. Factor 2/5*y**4 + 0*y + 2/5*y**q - 4/5*y**3 + 0 + 0*y**2.
2*y**3*(y - 1)*(y + 2)/5
Let h(p) be the second derivative of -p**5/80 - p**4/48 + 15*p. Let h(j) = 0. Calculate j.
-1, 0
Let p(b) be the third derivative of -b**6/360 + b**5/90 - b**4/72 + 6*b**2. Factor p(x).
-x*(x - 1)**2/3
Let n = -1 + 4. Factor 2*t**n - 2 - 2 + 4*t**2 + 0*t - 2*t.
2*(t - 1)*(t + 1)*(t + 2)
Let s = 3 + -4. Let t be 8 - s*(0 - -1). Factor -2*y**2 - 8 + 0*y + t*y - y.
-2*(y - 2)**2
Suppose -2*z + 4*l = -24, -4*l + 8 = 2*z + 24. Factor 0*h**2 - 5*h**z - h**4 + 6*h**2 - h**3 + h.
-h*(h - 1)*(h + 1)**2
Find t such that -2/13 + 12/13*t**4 + 6/13*t**2 - 22/13*t**3 + 6/13*t = 0.
-1/2, 1/3, 1
Let u(p) = 31*p + 126. Let t be u(-4). Factor -6/13*o**t + 4/13*o - 6/13*o**5 - 6/13*o**3 + 14/13*o**4 + 0.
-2*o*(o - 1)**3*(3*o + 2)/13
Let g(l) be the second derivative of -l**7/168 + l**6/30 - l**5/20 - l**4/24 + 5*l**3/24 - l**2/4 + 9*l. Determine d, given that g(d) = 0.
-1, 1, 2
Suppose 0 + 0*d - 21/2*d**3 + 3*d**2 = 0. Calculate d.
0, 2/7
Let k(o) = o**4 - o**3 + 1. Let n = -4 + 3. Let h(r) = -15*r**4 + 3 - 3 + 2*r + 6 + 11*r**2 + 2*r**3. Let p(z) = n*h(z) + 6*k(z). Suppose p(y) = 0. Calculate y.
-1/3, -2/7, 0, 1
Suppose 0*q + 2*q - 312 = 0. Let m be q/396 - 2/(-6). Find g, given that 14/11*g - m*g**2 + 4/11 = 0.
-1/4, 2
Let f = -180 + 541/3. Factor -1/6*t - 1/6*t**2 + f.
-(t - 1)*(t + 2)/6
Factor -118*d**4 - 1 + 116*d**4 - 10*d**3 + 1 - 8*d - 16*d**2.
-2*d*(d + 1)*(d + 2)**2
Let v be (-7)/((-7)/180) + 1. Let f = 551/3 - v. Find t, given that -f - 2/3*t**2 - 8/3*t = 0.
-2
Let c(j) be the first derivative of 0*j**3 + 0*j + 0*j**5 - 7 + 0*j**4 - 2/3*j**6 + 0*j**2. Factor c(t).
-4*t**5
Suppose -2 = 3*j - 32. Suppose j = 5*v - 0. Let -v*n**5 + n**5 + 0*n**4 - n**3 - 2*n**4 = 0. What is n?
-1, 0
Factor 1/3*i**2 - 1/3 + 0