 Let n = 1 - -5. Let y(h) = h**2 + h - 1. Let x(u) = n*y(u) + j(u). Factor x(q).
-2*q*(q + 1)
Suppose -37 - 8 = 5*i. Let m be (39/i - -4)/(-1). Suppose m*w - 2/3*w**2 + 1/3*w**3 + 0 = 0. Calculate w.
0, 1
Let z be 194/(-280) + 30/40. Let v(j) be the first derivative of -2/7*j**4 - 4/7*j**3 - 4/7*j**2 - 4 - 2/7*j - z*j**5. What is d in v(d) = 0?
-1
Determine j so that -5 + j**3 + 1 - 4*j**3 - 2*j**5 + 7*j**3 - 16*j**2 + 4*j**4 + 14*j = 0.
-2, 1
Let b(c) be the second derivative of -4/9*c**3 - 1/10*c**5 - c**2 - c - 1/3*c**4 + 0. Let h(t) be the first derivative of b(t). Factor h(p).
-2*(3*p + 2)**2/3
Let i = 13 + -13. Suppose m + 5*j = 7, -4*m - m + 3*j + 7 = 0. Determine p, given that 2*p + i + 0*p**m + 5*p**3 + 7*p**2 + 0 = 0.
-1, -2/5, 0
Let s(j) = 6*j**4 + 15*j**3 + 45*j**2 - 15*j - 51. Let p(n) = n**4 + 3*n**3 + 9*n**2 - 3*n - 10. Let h(y) = 21*p(y) - 4*s(y). Factor h(f).
-3*(f - 2)*(f - 1)*(f + 1)**2
Solve u**4 + 3*u - 5*u**4 + 0*u**4 - 3*u**5 - 2*u**4 + 6*u**2 = 0.
-1, 0, 1
Let c(g) be the third derivative of -1/42*g**7 + 0*g + 1/40*g**6 + 0 + 0*g**3 + 1/30*g**5 + 0*g**4 - 2*g**2. Factor c(q).
-q**2*(q - 1)*(5*q + 2)
Let g(b) be the third derivative of 0*b**3 - 25/336*b**8 - b**2 + 0*b**4 - 1/15*b**5 - 1/42*b**7 + 0 + 0*b + 2/15*b**6. Factor g(j).
-j**2*(j + 1)*(5*j - 2)**2
Let a(v) = v**4 + 5*v**3 + 5*v**2 + 5. Let d(s) = 2*s**4 + 8*s**3 + 8*s**2 + 8. Let k be (-110)/(-15) + (-2)/(-3). Let q(c) = k*a(c) - 5*d(c). Factor q(g).
-2*g**4
Let r = 2/43 - -27/344. Let o(u) be the second derivative of -1/6*u**3 - 2*u + 0 + r*u**4 + 0*u**2. Factor o(b).
b*(3*b - 2)/2
Let y(k) be the third derivative of -k**5/100 + k**4/6 - 2*k**3/5 + 16*k**2. Factor y(v).
-(v - 6)*(3*v - 2)/5
Let h(r) be the second derivative of 5*r**7/2016 - r**6/288 + r**5/480 + r**4/4 + 5*r. Let o(b) be the third derivative of h(b). Factor o(u).
(5*u - 1)**2/4
Let v(j) = -j**2 + 3. Suppose -n + 0*n + 3 = 0, -5 = -r - 2*n. Let f(t) = t**2 - t - 1. Let b(m) = r*v(m) - 2*f(m). Factor b(z).
-(z - 1)**2
Factor -5*g**2 + 3*g**2 + 3*g**2 + 3*g**2 - 16*g.
4*g*(g - 4)
Let u = -5 - -10. Let s be (u + -4)/(1/3). Factor 0*f**2 + 0 + 0*f - 2/3*f**4 - 2/3*f**s.
-2*f**3*(f + 1)/3
Let p = 146 - 90. Solve -4*u**3 - p*u + 56*u + 4*u**4 = 0.
0, 1
Let z(q) = 4*q**2 + 13*q - 76. Let m(y) = -y**2 + y - 1. Let b(o) = -5*m(o) - z(o). Factor b(x).
(x - 9)**2
Suppose -4*f = 2*s, -s + f = s - 5. Let t = 29 - 17. Factor -12*o + t*o + 2*o**s.
2*o**2
Let j(w) be the first derivative of 2*w**5/15 + w**4/4 - w**3/3 + w**2/2 - 2. Let h(y) be the second derivative of j(y). Find t, given that h(t) = 0.
-1, 1/4
Let j(f) be the second derivative of f**4/3 - 4*f**3/3 - 6*f**2 + 13*f. What is z in j(z) = 0?
-1, 3
Let f(p) = 2*p**3 - 2*p**2 - 2*p + 2. Let k(c) = -c**3 + 9*c**2 - 8*c + 2. Let j be k(8). Let u be f(j). Factor 4*m + 5 - 1 - 5*m**2 + u*m**2.
(m + 2)**2
Factor 16/21 + 8/21*k - 2/21*k**3 - 4/21*k**2.
-2*(k - 2)*(k + 2)**2/21
Let p = 7 + -3. Let s(g) = 7*g**2 - 3 + 6*g - g**2 + 8*g**p - 3 + 6*g**3. Let u(t) = t**4 + t**3 + t**2 + t - 1. Let o(d) = s(d) - 6*u(d). Factor o(l).
2*l**4
Let x be 5*((-220)/(-250))/11. Suppose 0 - 4/5*s**2 + 0*s + 0*s**4 + 6/5*s**3 - x*s**5 = 0. What is s?
-2, 0, 1
Let -2/9*j - 4/9 + 2/9*j**2 = 0. What is j?
-1, 2
Let q = 20 - 22. Let t be 5/((-30)/(-16)) + q. Determine x, given that -t*x**3 + 0 + 2/3*x**5 + 2/3*x**4 - 2/3*x**2 + 0*x = 0.
-1, 0, 1
Let 2/3*r**2 + 4*r + 10/3 = 0. What is r?
-5, -1
Let n = -319 + 2237/7. Suppose n + 2/7*t - 2/7*t**2 = 0. What is t?
-1, 2
Let v(m) be the second derivative of -m**4/4 - m**3 - 3*m**2/2 - 7*m. Factor v(w).
-3*(w + 1)**2
Let x(k) = -1 - 6 - 6*k + k + 2*k. Let z be x(-3). Factor -1/2*s**4 + 0 + 1/2*s + 1/2*s**z - 1/2*s**3.
-s*(s - 1)*(s + 1)**2/2
Let o be (1215/175 - 7)*7/(-120). Let m(l) be the third derivative of -1/75*l**5 + 0 - 1/60*l**4 - o*l**6 + 0*l - l**2 + 0*l**3. What is r in m(r) = 0?
-1, 0
Let l be 2/1 - 190/100. Let v(n) be the second derivative of -l*n**5 + 1/4*n**4 + n + 0 + 0*n**2 - 1/6*n**3. Factor v(t).
-t*(t - 1)*(2*t - 1)
Let n(t) be the first derivative of -1/6*t**3 + 1 + 0*t**2 + 1/2*t. Factor n(r).
-(r - 1)*(r + 1)/2
Let r be 15/6 + (-2)/4. Suppose 3*z + r*z - 10 = 0. Factor n**2 - 6*n**z + 8*n + 3*n**2 - 2 - 6.
-2*(n - 2)**2
Suppose -5 = -5*x, 4*t + 3*x - 3 = -0*t. Factor -1/2*h**4 + 1/6*h**5 - 1/6*h**2 + t + 1/2*h**3 + 0*h.
h**2*(h - 1)**3/6
Let k(m) be the second derivative of -3/10*m**5 - 1/30*m**6 - 4/3*m**3 + 0 + 0*m**2 + 3*m - m**4. Factor k(d).
-d*(d + 2)**3
Let d = 520 + -520. Let d*m + 0*m**2 + 1/3*m**4 + 0 + 1/3*m**3 = 0. What is m?
-1, 0
Let b(x) = -4*x**2 - 28*x + 8. Let p(f) = -3*f**2 - 18*f + 5. Let g(q) = -5*b(q) + 8*p(q). Let g(c) = 0. What is c?
-1, 0
Let t(n) = 2*n**3 + 2*n**2 + 5*n + 5. Let p(o) = -o**3 - o**2 - 2*o - 2. Let v(q) = -5*p(q) - 2*t(q). Factor v(r).
r**2*(r + 1)
Let j = -36 - -36. Solve 2/7*m**2 + j*m - 2/7 = 0.
-1, 1
Let i = 71/115 + -5/23. Let u(d) be the first derivative of 0*d + 2 + 1/2*d**4 - 2/3*d**3 - d**2 + i*d**5. Find x, given that u(x) = 0.
-1, 0, 1
Let r(n) = n**3 + n**2. Let d be r(-1). Let u(o) be the third derivative of 1/72*o**4 + 0*o**3 - 2*o**2 - 1/180*o**5 + d + 0*o. Factor u(m).
-m*(m - 1)/3
Factor -9/5*y + 3/5*y**3 + 0*y**2 - 6/5.
3*(y - 2)*(y + 1)**2/5
Determine o, given that -1/4*o - 1/4*o**2 + 0 = 0.
-1, 0
Let z(x) be the first derivative of 0*x - 1/7*x**2 - 4/35*x**5 + 4/21*x**3 + 1/21*x**6 - 2 + 0*x**4. Factor z(y).
2*y*(y - 1)**3*(y + 1)/7
Let p(q) = 6*q**3 - 2*q**2 + 4*q - 4. Let i(b) = 7*b**3 - b**2 + 5*b - 5. Let o(z) = -4*i(z) + 5*p(z). Suppose o(l) = 0. Calculate l.
0, 3
Let t be (-2 - -2)/((-10)/5). Let i(u) be the second derivative of -2*u - 1/10*u**5 + 0*u**2 + t + 1/12*u**4 + 1/30*u**6 + 0*u**3. Solve i(k) = 0 for k.
0, 1
Let d(u) be the first derivative of 0*u - 1/3*u**3 + 1/2*u**2 - 2. Factor d(s).
-s*(s - 1)
Let f = -3 + 3. Suppose f*w + 8*w**2 - 2*w + 0*w**2 = 0. Calculate w.
0, 1/4
Solve 21*l**2 + 11*l**2 - 36*l**2 = 0 for l.
0
Let g = -31/2 + 16. Factor -g*p**4 + 1/2*p - 1/2*p**3 + 1/2*p**2 + 0.
-p*(p - 1)*(p + 1)**2/2
Let m be (-16)/(-40) + (-17)/30. Let j = m - -5/12. Solve 1/2*t - j - 1/2*t**3 + 1/4*t**4 + 0*t**2 = 0 for t.
-1, 1
Let s(z) = -29*z - z**2 + 2*z**2 + 4 + 36*z. Let a(y) = 2*y**2 + 15*y + 8. Let d(x) = 6*a(x) - 14*s(x). Let d(m) = 0. Calculate m.
-2
Let t(f) be the first derivative of -3*f**4/4 + 3*f**3/2 - 3*f**2/4 - 5. Solve t(h) = 0 for h.
0, 1/2, 1
Let q(w) be the second derivative of -8*w**6/15 + 8*w**5/5 - 5*w**4/3 + 2*w**3/3 - 6*w. Factor q(p).
-4*p*(p - 1)*(2*p - 1)**2
Suppose h - 4*w = -3*w + 2, 0 = 2*w. Suppose 6*d + 17/4*d**h + 1 + 49/4*d**5 - 21/4*d**4 - 73/4*d**3 = 0. What is d?
-1, -2/7, 1
Let o(p) be the third derivative of -p**9/83160 - p**8/36960 - p**4/6 - 4*p**2. Let b(j) be the second derivative of o(j). Factor b(u).
-2*u**3*(u + 1)/11
Suppose -10 = -5*i - p, -4*i + 4*p = -35 + 3. Suppose -i = -0*b - b. Factor 2 + 3 - b - 1 - w**2.
-(w - 1)*(w + 1)
Factor -3*n**3 + 28 - 28 + 3*n**4.
3*n**3*(n - 1)
Let q(k) be the third derivative of k**4/24 - 2*k**3/3 - k**2. Let m be q(7). Factor -4*f**2 + m*f**2 + f + 0*f.
-f*(f - 1)
Determine c, given that 1/6*c**2 + 3/2 - c = 0.
3
Let q(o) be the second derivative of o**6/1620 + o**5/135 + o**4/27 - o**3/6 + o. Let l(x) be the second derivative of q(x). Factor l(k).
2*(k + 2)**2/9
Let j be (-1)/(-3) + 159019/231. Let p = -688 + j. What is k in -p*k - 8/11 - 2/11*k**2 = 0?
-2
Suppose 8 = 5*p - 2. Let -3*m**2 + 4*m**p + 2*m**2 - 6 + 3*m = 0. What is m?
-2, 1
Suppose 0 = -3*s - 4*y + 32, 0*s = -5*s - y + 42. Let j be s*((-15)/(-6) - 2). Factor -g**j + 4 - 2*g**2 + 0*g**4 - g**2 + 2*g - 6*g + 4*g**3.
-(g - 2)**2*(g - 1)*(g + 1)
Let w(s) be the second derivative of -1/3*s**2 + 1/36*s**4 + 1/18*s**3 + 0 - 2*s. Find v, given that w(v) = 0.
-2, 1
Let u(m) = -9*m**2 + 102*m - 864. Let w(r) = -11*r**2 + 102*r - 863. Let k(a) = 4*u(a) - 3*w(a). Factor k(f).
-3*(f - 17)**2
Factor 3*u**4 + 16*u**3 + 8*u**2 - 23*u - 36 - 7*u**4 - 25*u.
-4*(u - 3)**2*(u + 1)**2
Let r(n) = n**3 + 2*n**2 - 3*n - 2. Let b be r(-2). Suppose 16 = 4*k + k + o, -3*k + 4*o = -5. Suppose -g**k + g**4 + 0*g**4 + 2*g**5 + b*g**5 = 0. Calculate g.
-1/2, 0, 1/3
Find p, given that 3/5*p**5 + 3/5*p**4 - 9/5*p**