. Let x = 145 - d. Factor 4/11*t**2 - x*t**4 + 0*t**3 + 0*t - 2/11.
-2*(t - 1)**2*(t + 1)**2/11
Suppose r = 0, -4*u - 2*r = -u - 12. Suppose u*h**3 - 2*h**3 + h**5 - 2*h**2 + 2*h**4 - 3*h**5 = 0. Calculate h.
-1, 0, 1
Let r(v) = -5*v**2 + 20*v. Let i(x) = -x. Let o(p) = 5*i(p) - r(p). Factor o(z).
5*z*(z - 5)
Let u = -42 - -66. Suppose -3*n + 3*p = -u + 6, -5*n = -p - 14. Suppose -q**2 - q**2 + q**2 - q**n = 0. Calculate q.
0
Let a(z) = 3*z**2 - 4*z - 5. Let w(s) = 0 + s**2 - 2 - 3*s + s. Suppose 0 = -d + 4, -3*q + d - 5*d + 10 = 0. Let v(g) = q*a(g) + 5*w(g). What is p in v(p) = 0?
-2, 0
Factor 26*m**2 + 4*m**4 - 2*m**4 - 24*m + 8 - 4*m**3 - 8*m**3.
2*(m - 2)**2*(m - 1)**2
Let q(y) = 8*y**3 - 14*y**2 + 8*y - 6. Let b(x) = 23*x**3 - 41*x**2 + 24*x - 17. Let p(s) = -6*b(s) + 17*q(s). Factor p(l).
-2*l*(l - 2)**2
Let c(t) = t**4 - t**3 + t. Let z(m) = -26*m**4 + 14*m**3 + 20*m**2 - 14*m. Let i(u) = 6*c(u) + z(u). Let i(l) = 0. Calculate l.
-1, 0, 2/5, 1
Let 1/2 + 3/4*q + 1/4*q**2 = 0. Calculate q.
-2, -1
Let i = 18/25 + -29/75. Determine m, given that -m**2 + 0 - 1/3*m**4 - i*m - m**3 = 0.
-1, 0
Factor 4/3*a**3 + 32/3 + 16*a + 8*a**2.
4*(a + 2)**3/3
Let p(q) be the third derivative of -q**6/30 + q**5/15 + 2*q**4/3 - 8*q**3/3 + 36*q**2. Factor p(j).
-4*(j - 2)*(j - 1)*(j + 2)
Let s(b) be the first derivative of 3*b**3 - 21*b**2 - 15*b - 28. Factor s(j).
3*(j - 5)*(3*j + 1)
Suppose -6*n + 3*n - 62 = 4*z, 4*z + 20 = 0. Let d be 6/(-4) - 77/n. Factor 0*y + 0*y**2 + 0 - 2/7*y**3 - 6/7*y**d.
-2*y**3*(3*y + 1)/7
Let w(g) be the first derivative of 0*g + 0*g**2 + 2/21*g**3 + 6/35*g**5 - 1 + 2/7*g**4. Factor w(j).
2*j**2*(j + 1)*(3*j + 1)/7
Let l be 18/12*3/9. Factor 5/4*o**4 + 0 - l*o**3 + 1/2*o - 5/4*o**2.
o*(o - 1)*(o + 1)*(5*o - 2)/4
Suppose 4*t + 2*t = t. Let q(l) be the third derivative of 1/12*l**4 + 1/6*l**5 + 2/15*l**6 + 4/105*l**7 + l**2 + 0 + t*l**3 + 0*l. Factor q(h).
2*h*(h + 1)*(2*h + 1)**2
Let c(d) = 2*d**2 - 3*d. Let k be c(2). Factor -10*q**k - 2*q**2 + 28*q**3 - 25*q**3 + 12*q.
3*q*(q - 2)**2
Suppose 7 = a + 4. Let n = 567/5 - 113. Factor 2/5*j**2 + 0 + n*j**a + 0*j.
2*j**2*(j + 1)/5
Suppose 0 = 7*v - 10*v + 216. Let b be (-4)/(-10) - v/(-45). What is t in 0 + 0*t**b + 0*t + 2/7*t**5 - 2/7*t**3 + 0*t**4 = 0?
-1, 0, 1
Suppose 66*k - 33*k = 36*k. Let p = 3 + -1. Suppose 0 + 1/2*w**3 + k*w - w**p = 0. Calculate w.
0, 2
Let i = 7 - 3. Factor -12*p**2 + 3*p**i - 4*p**4 - 10*p - 8*p**3 - p**4 - 2 + 2*p.
-2*(p + 1)**4
Let k = 369 - 9224/25. Let q = 21/100 + k. Let -1/2 - q*o + 1/4*o**2 = 0. Calculate o.
-1, 2
Let y be ((-10)/(-20))/((-1)/(-10)). Let w(g) be the third derivative of 0 - 5/96*g**4 + 1/120*g**y + 1/12*g**3 + 0*g + g**2. Factor w(h).
(h - 2)*(2*h - 1)/4
Let b be -9 - -11 - (0 + -2). Factor -6/7*a**3 + 0 - 2/7*a**5 - 2/7*a**2 - 6/7*a**b + 0*a.
-2*a**2*(a + 1)**3/7
Let v(y) = -19*y**2 - 11*y + 8. Let k(u) = 28*u**2 + 16*u - 12. Let b(f) = 5*k(f) + 8*v(f). Solve b(d) = 0.
-1, 1/3
Suppose 4*u = -3*j - 40, -2*j + 5*u - 20 = 3*j. Let n be 4/j*(-4)/6. Factor -1/3*g**4 + 0*g**2 + n + 2/3*g - 2/3*g**3.
-(g - 1)*(g + 1)**3/3
Let a(j) = -3*j**5 - 13*j**4 + 10*j**3 + 36*j**2 + 28*j. Suppose -7 = 4*q - 3. Let o(h) = h**4 - h**3 - h. Let f(l) = q*a(l) - 4*o(l). Solve f(u) = 0.
-2, -1, 0, 2
Let x(w) = 7*w**2 + 25*w - 2. Let q(b) = 15*b**2 + 50*b - 5. Let y(o) = 2*q(o) - 5*x(o). Factor y(i).
-5*i*(i + 5)
Let q(c) be the first derivative of -c**6/10 - 3*c**5/5 - 27*c**4/20 - 7*c**3/5 - 3*c**2/5 - 24. Factor q(m).
-3*m*(m + 1)**3*(m + 2)/5
Let m(l) = -l**3 - 30*l**2 - 56*l - 44. Let s(y) = -y**3 - y + 1. Let v(f) = m(f) + 4*s(f). Factor v(a).
-5*(a + 2)**3
Let y(r) = r. Let i(s) = 2*s**2 + 2*s - 6. Let x(a) = i(a) + 2*y(a). Let x(g) = 0. What is g?
-3, 1
Let z(q) be the first derivative of q**6/12 + q**5/4 - 5*q**3/12 - q**2/4 - 18. Let z(p) = 0. What is p?
-2, -1, -1/2, 0, 1
Let k(g) be the first derivative of -3*g**4/16 + g**3/4 + 9*g**2/4 - 58. Find l, given that k(l) = 0.
-2, 0, 3
Let m(q) = 2*q**2 - 44*q - 42. Let b be m(23). Factor -2/5*f**2 - 2/5*f**3 + 3/5*f + 3/5*f**b - 1/5*f**5 - 1/5.
-(f - 1)**4*(f + 1)/5
Let w be (35 + -34)*(1 - (1 - 0)). Factor 0 + w*k - 2/3*k**3 + 4/3*k**2.
-2*k**2*(k - 2)/3
Let s(q) be the second derivative of -q**7/7 - 16*q**6/15 - 29*q**5/10 - 10*q**4/3 - 4*q**3/3 + 13*q. Let s(a) = 0. Calculate a.
-2, -1, -1/3, 0
Suppose 0 = 4*a - 207 + 207. Factor -1/4*u**3 - 1/4*u**5 + a - 1/2*u**4 + 0*u**2 + 0*u.
-u**3*(u + 1)**2/4
Let y(c) be the second derivative of c**4/48 - c**3/12 + 39*c. Factor y(t).
t*(t - 2)/4
Let p = 2 + 0. Suppose q + u + 2 = 8, -q - 10 = -3*u. Factor -2*s**q + s - 2*s**p + s.
-2*s*(2*s - 1)
Solve -n**2 - 4*n + 6*n**2 - n**2 + 0*n**2 = 0.
0, 1
Let r be -2*(4 - -1)/(-65). Factor -2/13*a**3 + 0 - 2/13*a**2 + 2/13*a**4 + r*a.
2*a*(a - 1)**2*(a + 1)/13
Suppose 3*v - 16 = m + m, 2*v + 5*m = -2. Determine f so that 1/2*f**5 + 1/2*f**2 - 1/2*f**v + 0*f + 0 - 1/2*f**3 = 0.
-1, 0, 1
Let t(r) be the second derivative of -r**4/78 + 4*r**3/39 - 3*r**2/13 - 9*r. Factor t(v).
-2*(v - 3)*(v - 1)/13
Let a(i) = -110*i**4 + 282*i**3 - 130*i**2 + 16*i + 2. Let l(o) = -o**4 + o**3 + o**2 - 1. Let m(v) = a(v) + 2*l(v). Solve m(t) = 0.
0, 1/4, 2/7, 2
Let u(q) be the second derivative of 1/150*q**6 + 0*q**2 + 0*q**4 + 0 - 7*q + 0*q**3 + 1/50*q**5. What is h in u(h) = 0?
-2, 0
Suppose 7*t - 3*t - 8 = 0. Factor -2*g**2 + 3*g**t - 3*g**2 - 4 + 5*g + g.
-2*(g - 2)*(g - 1)
Let q(z) be the second derivative of -z**5/30 - 4*z**4/9 - 17*z**3/9 - 10*z**2/3 + 35*z. Factor q(p).
-2*(p + 1)*(p + 2)*(p + 5)/3
Let i(y) = 2*y**2 - 4*y + 6. Let q(m) = -13*m**2 + 10*m**2 + 17 - 11*m + 9*m**2. Let p(o) = 17*i(o) - 6*q(o). Determine d, given that p(d) = 0.
-1, 0
Let y(v) be the third derivative of -v**6/40 + v**5/5 - 5*v**4/8 + v**3 - 5*v**2. Factor y(c).
-3*(c - 2)*(c - 1)**2
Let u(t) be the third derivative of 1/420*t**6 - 1/210*t**5 - 1/84*t**4 + 2*t**2 + 1/21*t**3 + 0*t + 0. Find j such that u(j) = 0.
-1, 1
Let v = -8 - -11. Suppose 5 = 5*n - 5*f, -2*n + f = -5*n + 15. Factor -1/5*b**5 + 2/5*b**v + 0*b**2 + 0*b**n - 1/5*b + 0.
-b*(b - 1)**2*(b + 1)**2/5
Let c(x) be the first derivative of -x**9/2520 - x**8/525 - x**7/350 + x**5/300 - 5*x**3/3 - 2. Let h(w) be the third derivative of c(w). Solve h(y) = 0.
-1, 0, 1/3
Let a be 0 + (2 + 1 - 1). Let w**5 - 2*w**2 + 3*w**4 - a*w**2 + 4*w - 4*w = 0. What is w?
-2, 0, 1
Let v(r) = 4*r - 4*r**2 + 0*r**3 + 63 - 64 - r**3. Let c be v(-5). Determine g so that -2*g**2 - 1/4*g**c + 0 + g + 5/4*g**3 = 0.
0, 1, 2
Suppose -5*a = 4*f - 2, -9*a + 11*a + 4*f = -4. Factor -4/7*s + 0 - 2/7*s**3 - 6/7*s**a.
-2*s*(s + 1)*(s + 2)/7
Let u = 495 + -2471/5. Factor 0 - 2/5*v**3 - u*v**2 - 2/5*v.
-2*v*(v + 1)**2/5
Let z(w) be the first derivative of 3*w**4/28 + 4*w**3/21 - 5*w**2/14 - 2*w/7 - 16. Determine m so that z(m) = 0.
-2, -1/3, 1
Factor -10*r**2 + 3 + 4*r**4 - r**4 - 12*r + 0*r**4 - 12*r**3 + 28*r**2.
3*(r - 1)**4
Let g = 1/20 - -3/20. Solve -2/5*f**5 - g*f**3 + 2/5*f**2 + 0 - f**4 + 0*f = 0 for f.
-2, -1, 0, 1/2
Let q(y) be the second derivative of y**5/10 - 17*y**4/36 + 11*y**3/18 - y**2/3 - 3*y. What is x in q(x) = 0?
1/3, 1/2, 2
Suppose -5*l + 12 = 3*r, 0*l + 2*l - 4*r = -16. Factor 0*p + l - 2/9*p**2.
-2*p**2/9
Let -2*u - 10*u**2 + 4*u - 14*u + 6*u**2 = 0. Calculate u.
-3, 0
Let o = -188 - -191. Suppose 3 + o*t**5 - 3/2*t**2 - 21/2*t**3 - 3/2*t**4 + 15/2*t = 0. What is t?
-1, -1/2, 1, 2
Let z = -8 - -16. Factor 15*o + z*o**2 + 2 + 2 - 2*o + o**4 + 7*o**2 + 7*o**3.
(o + 1)**3*(o + 4)
Let d(f) be the third derivative of 1/240*f**5 + 1/480*f**6 - 1/48*f**4 + 2*f**2 + 0 + 0*f + 0*f**3. Factor d(y).
y*(y - 1)*(y + 2)/4
Let w be (-250)/(-65) + (-4)/(-26). Let 10*l**5 + 9*l**3 - 14*l**4 - 3*l**3 + 0*l**w - 2*l**3 = 0. Calculate l.
0, 2/5, 1
Let s(k) be the first derivative of 0*k + 3/4*k**4 - 7 - 3*k**3 + 3*k**2. What is w in s(w) = 0?
0, 1, 2
Factor 1/4*q**5 + 1/2*q**2 - 1/4*q**3 + 0*q + 0 - 1/2*q**4.
q**2*(q - 2)*(q - 1)*(q + 1)/4
Let y(a) be the third derivative of -a**5/12 + 5*a**4/6 + 25*a**3/6 + 19*a**2. Find b such that y(b) = 0.
-1, 5
Let i(q) = q**3 - 4*q**2 + 5*q - 3. Let l be i(3). Let w(c) = c**2 - c - 4. Let g be w(l). Factor -2/5*d**3 + 2/5*d**g + 0 + 0*d.
-2*d**2*(d - 1)/5
Let p(o) be the thir