/233. Factor -4/7*l**c + 0 - g*l**4 + 2/7*l**2 + 0*l.
-2*l**2*(l + 1)*(3*l - 1)/7
Find v such that 7*v - 13*v + 0*v**2 - 3 - 3*v**2 = 0.
-1
Factor 5*a**2 - 3*a**2 + 0*a**2 - a**2.
a**2
Let g = 55 - 51. Let q(t) be the first derivative of 0*t**3 - 2 - 1/8*t**g - t + 3/4*t**2. Factor q(u).
-(u - 1)**2*(u + 2)/2
Let m(t) = 4*t**3 - 5*t**2 + 2*t + 2. Suppose 4 = -3*q - 5. Let r(o) = 11*o**3 - 14*o**2 + 5*o + 6. Let y(f) = q*r(f) + 8*m(f). Factor y(u).
-(u - 2)*(u - 1)*(u + 1)
Let z be -3 + 13 - (-1 + 7). Let u(m) be the first derivative of -2 - 1/20*m**5 + 1/12*m**3 + 0*m**z + 0*m**2 + 0*m. Determine n so that u(n) = 0.
-1, 0, 1
Suppose 0 = 4*i - 2*i. Let n be (i - -1)/((-5)/(-10)). Solve 0*y**n + y**2 + y**3 + 0*y**2 = 0 for y.
-1, 0
Let 1/2*y - 1/2*y**3 - 1/2 + 1/2*y**2 = 0. What is y?
-1, 1
Let r(v) be the first derivative of v**6/105 - v**4/21 + v**2/7 - 3*v - 1. Let c(l) be the first derivative of r(l). Factor c(h).
2*(h - 1)**2*(h + 1)**2/7
Solve -1/4*s**4 - 1/2*s**2 - s**3 + 3/4 + s = 0.
-3, -1, 1
Let m(n) be the third derivative of n**5/30 - n**4/24 + n**3/6 + n**2. Let b be m(1). Determine o, given that 6*o - 3 - 6 - 5 + 5 - o**b = 0.
3
Let z(m) = m**2 - 1. Let f be z(1). Factor t**3 - t**2 + 2*t + 6*t**2 - 2*t**2 + f*t.
t*(t + 1)*(t + 2)
Let g(f) = 3*f - 1. Let l be g(2). Let q(b) be the third derivative of -1/120*b**6 + 0 + 0*b**3 - 1/60*b**l + b**2 + 1/24*b**4 + 0*b + 1/210*b**7. Factor q(y).
y*(y - 1)**2*(y + 1)
Factor 3 + 1/2*z**2 + 5/2*z.
(z + 2)*(z + 3)/2
Let z(y) be the first derivative of -y**3/9 - y**2/2 - 2*y/3 + 14. Solve z(a) = 0.
-2, -1
Let l(y) be the second derivative of y**6/15 - y**5/15 - 4*y**4/27 + 2*y**3/9 - y**2/9 + 14*y. Find o such that l(o) = 0.
-1, 1/3, 1
Let l(o) be the second derivative of o**4/114 + 14*o**3/57 + 49*o**2/19 - 19*o. Suppose l(f) = 0. What is f?
-7
Let k = 7 + -7. Suppose -4 = -2*l - k*l. Factor 2/5*y + 0 + 2/5*y**l.
2*y*(y + 1)/5
Let y(g) be the first derivative of -2*g**6 + 52*g**5/5 - 17*g**4 + 4*g**3 + 16*g**2 - 16*g - 70. Find v such that y(v) = 0.
-2/3, 1, 2
Let r(x) = 21*x**2 + 21*x + 2. Let i(o) = -2*o**2 - o - 1. Let a(w) = 22*i(w) + 2*r(w). Factor a(h).
-2*(h - 9)*(h - 1)
Let y be (8/(-10))/(12/(-10)). Let r(u) be the first derivative of -u**2 + 0*u - y*u**3 + 2. Suppose r(q) = 0. What is q?
-1, 0
Suppose 6 = -5*w + 2*c, 7*c - 9 = -3*w + 4*c. Suppose -3*u + w = -6. Factor 1/3*m**u + 0 - 2/3*m**3 + 0*m + 1/3*m**4.
m**2*(m - 1)**2/3
Let s(t) be the second derivative of -5*t**7/84 + 2*t**6/15 - t**5/40 - t**4/12 + 2*t. Suppose s(f) = 0. Calculate f.
-2/5, 0, 1
Let v(c) be the second derivative of -c**4/42 + c**3/21 + 2*c**2/7 + 17*c - 2. Factor v(a).
-2*(a - 2)*(a + 1)/7
Let r(u) be the third derivative of 0*u + 0 + 4/9*u**3 + 1/30*u**5 + 1/360*u**6 + 1/6*u**4 - u**2. Suppose r(o) = 0. Calculate o.
-2
Let q = 1387/2 + -667. Let n = -26 + q. Factor 0 - j**4 + 0*j**2 - 1/2*j**5 + 0*j - n*j**3.
-j**3*(j + 1)**2/2
Let b(y) be the first derivative of -1/120*y**6 + 2*y**2 + 0*y + 2/3*y**3 + 1/12*y**5 + 2 - 1/3*y**4. Let v(p) be the second derivative of b(p). Factor v(k).
-(k - 2)**2*(k - 1)
Let q(r) be the first derivative of -r**4/18 + r**2/3 - 4*r/9 - 3. Suppose q(n) = 0. What is n?
-2, 1
Let t be (-25)/10 + 1 + (-42)/(-20). Solve -9/5 + u**2 + 1/5*u**3 + t*u = 0.
-3, 1
Let q(o) = o**2 + 8*o + 2. Let c be (-41)/5 - 6/(-30). Let w be q(c). What is r in 2*r**w - 2*r**2 + r**2 = 0?
0
Suppose 4*m = 7*m + 5*m. Solve -2/5 + 2/5*a**2 + m*a = 0.
-1, 1
Let d(p) be the first derivative of p**4/28 + 3*p**3/7 + 15*p**2/14 + p + 24. Factor d(q).
(q + 1)**2*(q + 7)/7
Let h(b) be the second derivative of b**7/231 + b**6/165 - b**5/110 - b**4/66 + 24*b. Factor h(x).
2*x**2*(x - 1)*(x + 1)**2/11
Let i = -196 + 196. Factor 2/3*s + i + 1/3*s**2.
s*(s + 2)/3
Let q(a) be the third derivative of a**7/420 - a**6/240 - a**5/120 + a**4/48 - 18*a**2. Factor q(o).
o*(o - 1)**2*(o + 1)/2
Suppose -1 = 5*z - 4*n - 37, -4 = z + 2*n. Let -42*g + 17*g**3 - z*g**2 - 4*g**4 - 5*g**3 + 8 + 30*g = 0. Calculate g.
-1, 1, 2
Let l(x) be the third derivative of -x**5/15 + 2*x**3/3 + 5*x**2. Find s, given that l(s) = 0.
-1, 1
Let r(v) be the second derivative of v**7/14 + v**6/10 - 3*v**5/20 - v**4/4 - 2*v. Factor r(p).
3*p**2*(p - 1)*(p + 1)**2
Let d = -6 - -21. What is s in 4*s - d*s**2 - 12*s**3 - 3*s + s - 3*s**4 - 8*s = 0?
-2, -1, 0
Let g(q) be the second derivative of 1/6*q**4 + 0*q**3 + 0*q**2 + 2*q + 0. What is z in g(z) = 0?
0
Let k(s) be the second derivative of s**8/6720 + s**7/1260 - s**6/720 - s**5/60 + s**4/4 - s. Let a(p) be the third derivative of k(p). Factor a(g).
(g - 1)*(g + 1)*(g + 2)
Let n(f) be the first derivative of f**5/20 - f**3/2 + 3*f**2/2 + 3. Let u(a) be the second derivative of n(a). Factor u(m).
3*(m - 1)*(m + 1)
Let g(j) be the third derivative of 5*j**2 + 1/4*j**4 + 0*j + 19/330*j**5 + 3/11*j**3 + 0 + 1/220*j**6. Determine v so that g(v) = 0.
-3, -1/3
Let g = -577/2 - -290. Factor 9/2*p + g*p**2 + 3.
3*(p + 1)*(p + 2)/2
Solve 1/2*b + 23/4*b**4 + 0 + 13/4*b**2 + 7/4*b**5 + 27/4*b**3 = 0 for b.
-1, -2/7, 0
Let k(o) be the first derivative of o**5/35 - 3*o**4/28 + o**3/7 - o**2/14 + 12. Factor k(m).
m*(m - 1)**3/7
Let a(v) be the first derivative of -4 + 2/5*v**5 + 8/7*v - 1/21*v**6 - 19/14*v**4 + 50/21*v**3 - 16/7*v**2. Solve a(j) = 0.
1, 2
Factor 0*t**3 + 0 - 1/2*t + t**2 - t**4 + 1/2*t**5.
t*(t - 1)**3*(t + 1)/2
Let j be (0 + -12)/4 + 44. Factor -j*z**3 - 27*z**2 - 15*z**4 + z**3 + 4*z**3 - 6*z.
-3*z*(z + 1)**2*(5*z + 2)
Find q such that 0*q + 2/5*q**2 - 2/5*q**4 - 2/5*q**3 + 0 + 2/5*q**5 = 0.
-1, 0, 1
What is l in 38*l**3 - 1284*l**5 - 2*l**2 + 1312*l**5 - 6*l**3 + 76*l**4 - 14*l**2 = 0?
-2, -1, 0, 2/7
Let j(d) = d**3 + d**2 - 1. Let m(o) = 9*o**3 + 6*o**2 - 9*o. Let c(y) = 6*j(y) - m(y). Determine p, given that c(p) = 0.
-2, 1
Factor 4/5*y**3 - 16/5*y**2 - 4*y + 0.
4*y*(y - 5)*(y + 1)/5
Let p(z) = -z**2 + 6*z**2 - 19 + 4 + 15*z. Let x(t) = -4*t**2 - 14*t + 14. Suppose 3*i - 36 = 9*i. Let n(o) = i*p(o) - 7*x(o). Factor n(v).
-2*(v - 2)**2
Let h be 21/35 + 7/5. Find p, given that 3*p**2 - p**2 + p**2 + 4*p - p**h = 0.
-2, 0
Let k(p) be the second derivative of p**4/6 - p**3/3 - 2*p**2 - 4*p. Solve k(m) = 0 for m.
-1, 2
Let c(a) = -a**3 - 9*a**2 - a - 5. Let b be c(-9). Let l be -2 + b/2 + 3. Let 0 - 1/3*q**2 + 1/3*q**l + 1/3*q**4 - 1/3*q = 0. Calculate q.
-1, 0, 1
Let f(s) be the third derivative of -s**5/30 - 39*s**2. Factor f(j).
-2*j**2
Let q(m) = -3*m**4 + 9*m**3 - 14*m**2 + 3*m + 5. Let t(r) = 15*r**4 - 45*r**3 + 69*r**2 - 15*r - 24. Let s(k) = -24*q(k) - 5*t(k). Let s(l) = 0. Calculate l.
0, 1
Let a(k) be the first derivative of -k**4/14 - 2*k**3/7 - 3*k**2/7 - 2*k/7 + 14. Suppose a(c) = 0. Calculate c.
-1
Let z(d) be the third derivative of 0*d**3 + 1/90*d**5 + 0*d - 1/360*d**6 - 1/72*d**4 - 2*d**2 + 0. Find u, given that z(u) = 0.
0, 1
Suppose -2*m - m = 2*p - 4, 4*p + 10 = 3*m. Suppose 4*z + 10*z - 56 = 0. Find t such that -10*t**m - 2/5 - z*t = 0.
-1/5
Let r be (-2 + 4 - 4)*(-13)/52. Factor 5/4*f + 1/4*f**4 - 1/4*f**3 - 3/4*f**2 - r.
(f - 1)**3*(f + 2)/4
Let s(x) be the third derivative of -x**6/60 + x**5/15 - x**4/12 - 18*x**2. Let s(y) = 0. Calculate y.
0, 1
Solve z**2 - z - 2*z**2 + 2*z**2 + 2*z = 0.
-1, 0
Let o(n) be the third derivative of -n**6/40 - n**5/10 - n**4/8 + 8*n**2. Let o(a) = 0. Calculate a.
-1, 0
Let s = 1066/7 + -152. Suppose 2/7*g - 6/7*g**2 + 6/7*g**3 + 0 - s*g**4 = 0. What is g?
0, 1
Let s(y) = -4*y**3 + 18*y**2 + 17*y + 8*y**4 + 5*y**3 - 2 + 6*y**3. Let r(z) = 7*z**4 + 8*z**3 + 18*z**2 + 16*z - 1. Let a(g) = 5*r(g) - 4*s(g). Factor a(m).
3*(m + 1)**4
Let a be (15/6 + -2)*0. Factor -4*m**2 + 0 + 0 + a + 2*m**3.
2*m**2*(m - 2)
Suppose 2*j - 3*s - 19 = 29, -j + 24 = -3*s. Let v = -24 + j. Factor v + 6/13*m**2 + 4/13*m + 0*m**3 - 2/13*m**4.
-2*m*(m - 2)*(m + 1)**2/13
Let t(u) = u**2 - 12*u - 16. Let y be t(13). Let r(j) = j**3 + 2*j**2 - 3*j. Let f be r(y). Factor f + 0*o**4 + 0*o**3 + 0*o**2 + 0*o - 2/9*o**5.
-2*o**5/9
Suppose -2/13*p**5 + 4/13*p**2 - 8/13*p**4 - 8/13*p**3 + 10/13*p + 4/13 = 0. Calculate p.
-2, -1, 1
Let o = -29 - -18. Let l = 15 + o. Let -8*k - 2/3*k**3 - l*k**2 - 16/3 = 0. Calculate k.
-2
Let j(c) be the third derivative of -c**8/30240 - c**7/3780