 - 11 = 0. Suppose 0 = c + n - 1, c - 22 = -c + 2*n. Determine o so that c*o + 1 - 1 - 5*o - o**q = 0.
0, 1
Suppose 5*i + 10 = 5*w, -3*i + 29 = -0*w + 2*w. Determine p so that -4*p + 12*p**3 - 9*p**2 - w*p**2 + 5*p + 3*p = 0.
0, 1/3, 1
Let u = -19 - -45. Let w be -4 - (-112)/u - 0. Solve w - 4*x**4 + 2/13*x - 32/13*x**2 - 68/13*x**3 - 14/13*x**5 = 0 for x.
-1, 2/7
Let y(s) = -61*s - 301. Let b be y(-5). Let v = 1/29 - -27/58. Find t, given that 0 + 5/2*t**3 - v*t**2 + 0*t - 2*t**b = 0.
0, 1/4, 1
Determine g, given that 8661494/5 - 159414/5*g - 2/5*g**3 + 978/5*g**2 = 0.
163
Let i(b) = 36*b**2 - 172*b + 16. Let h(s) = 7*s**2 - 34*s + 3. Let c(d) = 16*h(d) - 3*i(d). Find u, given that c(u) = 0.
0, 7
Suppose -4 = 5*p + z, 39*p - 35*p = 3*z + 12. Determine s, given that p + 4/7*s + 2/7*s**2 = 0.
-2, 0
Let x(i) = -i**2 - 8*i + 89. Let c(k) = k**3 - 18*k**2 + 34*k - 40. Let f be c(16). Let n(z) = -3*z + 30. Let h(b) = f*n(b) + 3*x(b). Factor h(o).
-3*(o - 3)*(o + 3)
Let s(y) be the second derivative of -49*y - 7/12*y**3 + 0 + 1/48*y**4 + 13/8*y**2. Factor s(h).
(h - 13)*(h - 1)/4
What is c in 12*c**3 - 312*c**2 + 212 + 940*c - 812 + 8*c**2 + 7*c**3 + 9*c**3 = 0?
6/7, 5
Let k(u) = 27*u**4 - 83*u**3 + 162*u**2 - 71*u - 7. Let d(j) = 12*j**4 - 42*j**3 + 81*j**2 - 36*j - 3. Let p(o) = 7*d(o) - 3*k(o). Factor p(w).
3*w*(w - 13)*(w - 1)**2
Let r(n) = -n**3 - 9*n**2 + 7*n - 27. Let x be r(-10). Let -14*a - 5*a**5 + 12*a**x + a**4 - 12 + a**5 - 3*a**4 + 14*a**2 + 6*a**3 = 0. Calculate a.
-3/2, -1, 1, 2
Let j = -101 - -104. Suppose -1/8*n - 1/8*n**j + 1/4*n**2 + 0 = 0. What is n?
0, 1
Let w(n) = n**3 - 7*n**2 + 7*n - 3. Let o be w(6). Factor -34*v**3 + 6*v + 26*v**o - 4*v + 2*v + 4*v**5.
4*v*(v - 1)**2*(v + 1)**2
Let x = -31/60 - -763/780. Solve -20/13 + 2/13*d**2 - x*d = 0.
-2, 5
Let t(l) = l**2 - 26*l + 37. Let k be t(25). Factor -30*m - 5*m**2 - 23*m**3 + 16*m**3 + k*m**3.
5*m*(m - 3)*(m + 2)
Let g(f) = -26*f**3 - 153*f**2 + 19*f + 663. Let w(j) = -9*j**3 - 51*j**2 + 6*j + 222. Let v(h) = 6*g(h) - 17*w(h). Factor v(t).
-3*(t - 2)*(t + 2)*(t + 17)
Let y = -8 + 9. Let n be (y/(-6))/((-10)/40). Find r, given that -n*r**4 + 0 - 2*r**3 - 2*r**2 - 2/3*r = 0.
-1, 0
Let h = -66 - -116. Suppose -62 = -4*m - h. Factor 0 - 3/2*g**2 + 1/2*g**m + g.
g*(g - 2)*(g - 1)/2
Factor 0 + 122/5*c**2 + 2/5*c**4 - 132/5*c - 32/5*c**3.
2*c*(c - 11)*(c - 3)*(c - 2)/5
Let g(z) be the second derivative of z**4/96 - z**3/24 - 3*z**2/2 + z - 136. What is n in g(n) = 0?
-4, 6
Suppose -4*x + 4*s + 32 = 0, -21 = -2*x + s + 2*s. Suppose 6*g = 33 - x. Factor 0*l**3 + 0 + l**2 - l**4 - 1/2*l + 1/2*l**g.
l*(l - 1)**3*(l + 1)/2
Suppose 18 = -3*m - 4*j, 4 = -4*j + 16. Let v = m - -12. Factor y - 12*y**5 + y**2 - 5*y**2 + y**v + 2*y - 27*y**3 - 33*y**4.
-3*y*(y + 1)**3*(4*y - 1)
Let d(p) = 2*p - 2. Let h be d(10). Determine z so that -4*z - 3*z - h - 3*z**2 - 5*z - 3*z = 0.
-3, -2
Suppose 4*u - 12 = 8. Let 0*s**2 - 17*s**4 + 4*s**4 + 7*s**4 - 3*s**u + 3*s + 6*s**2 = 0. Calculate s.
-1, 0, 1
Let y(b) = -b - 3. Let c be y(-6). Suppose 3*u = -2*u - 4*l + 14, -5 = -5*l. Determine g so that g**u - 2*g - g**c + g - 3*g**2 = 0.
-1, 0
Let x = -282 - -317. Let d be (-10)/6 - x/(-21). Suppose d + 2/5*u + 9/5*u**3 - 11/5*u**2 = 0. Calculate u.
0, 2/9, 1
Suppose -4/3*s**5 - 2*s**3 + 34/3*s + 26/3*s**2 + 4 - 14/3*s**4 = 0. Calculate s.
-2, -1, 3/2
Let i(h) = h**2 + 12*h + 32. Let r be i(-8). Let n be 4/(-26) - (74/26 + -5). Find w such that r + w**n + 1/2*w**3 + 1/2*w = 0.
-1, 0
Let d = 2640 + -92399/35. Let m(i) be the first derivative of 0*i - 1/21*i**3 - 13 + 1/42*i**6 - 1/28*i**4 + d*i**5 + 0*i**2. Factor m(z).
z**2*(z - 1)*(z + 1)**2/7
Let m = 244 + -242. Let r(i) be the second derivative of 1/3*i**4 - 1/21*i**7 - 1/15*i**6 - i**m + 0 + 1/5*i**5 - 1/3*i**3 + 6*i. Factor r(n).
-2*(n - 1)**2*(n + 1)**3
Find c such that 7/5*c**3 - 16/5*c + 4/5 + c**2 = 0.
-2, 2/7, 1
Let t = 562 - 8429/15. Let y(l) be the first derivative of -1/3*l + 2/9*l**3 + 0*l**2 + 0*l**4 - 1 - t*l**5. Factor y(g).
-(g - 1)**2*(g + 1)**2/3
Let -2*a**2 + 10/3*a**3 - 2/3*a**4 - 10/3*a + 8/3 = 0. What is a?
-1, 1, 4
Let u(q) = 8*q - 8. Let i(y) be the third derivative of -y**6/120 - y**5/60 - 13*y**4/8 + 41*y**3/6 - 17*y**2. Let z(p) = 2*i(p) + 11*u(p). Factor z(l).
-2*(l - 1)**2*(l + 3)
Factor -20*t**2 + t**5 - 7*t**3 - 4 - 3*t**3 - 44562*t + 44547*t.
(t - 4)*(t + 1)**4
Let 3/5*u**2 - 4/5*u - 4/5 + 1/5*u**4 + 4/5*u**3 = 0. Calculate u.
-2, -1, 1
Suppose -3*p = -23 - 19. Let y(k) = -2 - 8 - 3*k**2 + 5*k + p. Let h(z) = -5*z**2 + 10*z + 8. Let b(o) = -4*h(o) + 7*y(o). Determine n so that b(n) = 0.
-4, -1
Let d(p) = -p**2 - p - 1. Let m(a) be the third derivative of a**5/15 - a**4/3 + 7*a**3/6 + 35*a**2. Let t(z) = d(z) + m(z). Factor t(s).
3*(s - 2)*(s - 1)
Determine n so that -3*n**2 - 4*n**3 + 3*n + 2*n**3 + 2*n**2 + 3 - 2*n**2 - n**3 = 0.
-1, 1
Let o be 2320/3132 + (-3 - 158/(-54)). Solve 0 - 4/3*y - o*y**2 = 0 for y.
-2, 0
Let w = -44 + 48. Suppose 0 = 4*l - 2*y - 22, -4*y - 37 + 5 = -w*l. Determine u so that -2/3*u**l - 2/3*u + 4/3*u**2 + 0 = 0.
0, 1
Solve 8*h**3 - 8/3*h - 2/3*h**4 - 18*h**2 + 24 = 0.
-1, 2, 9
Let f(g) be the second derivative of -g**4/48 + g**3/12 - g**2/8 + g - 27. Let f(r) = 0. Calculate r.
1
Let t(h) be the third derivative of h**8/23520 + h**7/4410 + h**6/2520 - h**4/4 - 2*h**2. Let s(a) be the second derivative of t(a). Solve s(j) = 0.
-1, 0
Let l(q) be the first derivative of -q**5/10 + 15*q**4/8 - 29*q**3/3 + 21*q**2 - 20*q + 71. Factor l(p).
-(p - 10)*(p - 2)**2*(p - 1)/2
Let 40*p**4 - 329*p**2 + 523*p**2 + 8*p**5 - 318*p**2 - 24 + 106*p - 6*p**3 = 0. Calculate p.
-4, -3, 1/2, 1
Let r = 21 - 19. Factor 0*t**2 - 4*t**2 - 4 + 2*t**2 - 2*t**r + 8*t.
-4*(t - 1)**2
Let y = -258287/21 + 12302. Let s = 23/7 - y. Find p, given that -2/3*p**4 + 0*p + 4/3*p**2 + 0 + s*p**3 = 0.
-1, 0, 2
Suppose -4 = -2*n + 2. Suppose -y - 1 = 5*t, -2*t + 7 = 3*y + 3*t. Factor 6255*p**n - 165 - 2700*p**y + 1122*p + 642*p + 375*p**5 - 51 - 5154*p**2.
3*(p - 3)**2*(5*p - 2)**3
Let b = 10483/6555 - -1/1311. Let m(l) be the first derivative of 1 + 1/2*l**4 + 8/5*l - b*l**2 - 14/15*l**3. Find g, given that m(g) = 0.
-1, 2/5, 2
Let t(g) = -750*g + 3752. Let w be t(5). Solve -1/5*i**5 + 0 + 0*i + 0*i**w + 1/5*i**4 + 0*i**3 = 0.
0, 1
Suppose 26*b + 33 = 29*b. Factor -b + 5 + 2 + 5*i**2 - 6 - 5*i.
5*(i - 2)*(i + 1)
Let u(g) be the first derivative of -5*g**3/3 + 5*g**2/2 + 150*g - 159. Factor u(y).
-5*(y - 6)*(y + 5)
Let h(b) be the first derivative of -2*b**3/63 + 16*b**2/21 + 34*b/21 - 294. Factor h(j).
-2*(j - 17)*(j + 1)/21
Let d(h) = -5*h**3 - 57*h**2 - 79*h + 137. Let c(i) = -5*i**3 - 58*i**2 - 81*i + 138. Let f(y) = 2*c(y) - 3*d(y). Suppose f(k) = 0. What is k?
-9, -3, 1
Let a = 6196/3 - 2065. Find t such that a*t**5 + 2/3 + 4/3*t**3 + 2/3*t**2 - 4/3*t**4 - 5/3*t = 0.
-1, 1, 2
Let r(f) = 17*f**3 + 41*f**2 - 34*f + 6. Let n(b) = 100*b**3 + 245*b**2 - 205*b + 35. Let w(y) = -6*n(y) + 35*r(y). Solve w(c) = 0.
-8, 0, 1
Find d such that -54/5 + 57/5*d**3 - 39*d**2 + 9/5*d**4 + 183/5*d = 0.
-9, 2/3, 1
Let x be 12/(-14)*7*(-2)/(32/8). What is h in 1/8*h**x - 3/8 + 7/8*h - 5/8*h**2 = 0?
1, 3
Suppose 16*f = 19*f - 6. Suppose -8 = -4*i - 5*l, 7*l - 2*l + f = i. Factor 3/4*p**4 - 1/4*p**5 - 3/4*p**3 + 0*p + 1/4*p**i + 0.
-p**2*(p - 1)**3/4
Let o(d) be the second derivative of 7/3*d**4 - 2/15*d**6 - 12*d**2 + d**5 - 11*d - 1 - 10/3*d**3. Let o(g) = 0. Calculate g.
-1, 1, 6
Let n be ((-6)/50)/(198/(-660)). Let v be 1 + -2*(-3)/(-6). Factor 0*a + 2/5*a**4 - n*a**2 + v + 2/5*a**5 - 2/5*a**3.
2*a**2*(a - 1)*(a + 1)**2/5
Let a(q) be the third derivative of -11*q**2 + 5/21*q**4 + 0 - 100/21*q**3 - 1/210*q**5 + 0*q. Factor a(z).
-2*(z - 10)**2/7
Solve -14*i**2 + 28 + 26*i**3 + 36*i + 2*i**4 + 3*i - 65*i - 16*i**2 = 0 for i.
-14, -1, 1
Let c(j) be the first derivative of 0*j + 0*j**2 - 2 - 2/39*j**3. What is y in c(y) = 0?
0
Let i(d) be the first derivative of d**4 + 4*d**3 + 4*d**2 - 131. What is l in i(l) = 0?
-2, -1, 0
Suppose -3*a - 9 = -3*s, a - 126*s + 115*s + 63 = 0. Factor -4/9*y**a + 20/9*y**2 - 4/3*y - 4.
-4*(y - 3)**2*(y + 1)/9
Let g(k) be the second derivative of 2*k**6/27 + 11*k**5/45 - 38*k**4/27 - 16*k**3/27 - 585*k. Solve g(c) = 0.
-4, 