/4 - 35*z - 54. Let a(y) be the first derivative of r(y). Factor a(o).
5*(o + 3)**2/6
Let q be 2*(12/8)/(6/(-10)). Let z be 40/(-100) - 16/q. Find j, given that 6/5*j - 4/5 - 2*j**4 - 6/5*j**3 + z*j**2 = 0.
-1, 2/5, 1
Suppose -5*y - 11*y = -18 + 18. Factor 2/19*j**3 + 0 + y*j**2 - 8/19*j.
2*j*(j - 2)*(j + 2)/19
Let s(n) be the first derivative of n**7/210 + n**6/50 + 3*n**5/100 + n**4/60 + 9*n - 10. Let v(j) be the first derivative of s(j). Solve v(l) = 0.
-1, 0
Let o(i) be the second derivative of i**5/30 - i**3/9 - i + 98. Factor o(r).
2*r*(r - 1)*(r + 1)/3
Let r(p) = 19*p**2 - p + 1. Let q be r(-4). Factor -q*s - s**5 + s**3 - s**2 + s**4 + 0*s**3 + 309*s.
-s**2*(s - 1)**2*(s + 1)
Let z(i) be the third derivative of 0*i + 1/20*i**5 + 0 + 2*i**2 + 0*i**3 + 1/8*i**4. Solve z(m) = 0 for m.
-1, 0
Determine f so that 366/11 + 2/11*f**2 + 368/11*f = 0.
-183, -1
Let n(h) be the first derivative of 3*h**4/4 + 12*h**3 - 45*h**2/2 - 78*h - 186. Determine z so that n(z) = 0.
-13, -1, 2
Let d(b) be the first derivative of 3*b**5 - 85*b**4/4 - 40*b**3/3 + 30*b**2 - 55. Factor d(p).
5*p*(p - 6)*(p + 1)*(3*p - 2)
Let w(r) be the first derivative of 1/63*r**7 - 3*r + 0*r**3 + 0*r**2 - 1/30*r**5 + 10 + 0*r**4 + 0*r**6. Let d(j) be the first derivative of w(j). Factor d(q).
2*q**3*(q - 1)*(q + 1)/3
Let r(j) be the second derivative of -j**4/4 - 7*j**3 + 23*j + 3. Solve r(w) = 0 for w.
-14, 0
Let c(r) = 3*r**5 + r**4 - 3*r**3 + 7*r**2 - 4*r. Let u(h) = -8*h**5 - 2*h**4 + 8*h**3 - 20*h**2 + 11*h. Let x(m) = 11*c(m) + 4*u(m). Factor x(z).
z**2*(z - 1)*(z + 1)*(z + 3)
Factor x**3 + 20*x**2 - 2*x**3 - 6 - 24*x**2 + 11*x.
-(x - 1)**2*(x + 6)
Let n(p) = -p**2 + 61*p - 275. Let q be n(56). Factor 0*f + 0 + 3/7*f**2 + 3/7*f**q - 3/7*f**4 - 3/7*f**3.
3*f**2*(f - 1)**2*(f + 1)/7
Let b(z) be the second derivative of -z**4/8 - 3*z**3/4 + 950*z. What is v in b(v) = 0?
-3, 0
Let w(i) be the third derivative of -i**5/630 - 19*i**4/84 - 110*i**3/63 - 624*i**2. Factor w(a).
-2*(a + 2)*(a + 55)/21
Suppose -2*x + 2 = -0*x. Let c be 36/162*x/((-2)/(-24)). Let -4/3*v**3 - c*v**2 + 4/3 + 2/3*v**5 + 4/3*v**4 + 2/3*v = 0. Calculate v.
-2, -1, 1
Let b(s) be the third derivative of -7*s**5/10 + 145*s**4/12 + 14*s**3/3 - 3*s**2 - 4. Determine i so that b(i) = 0.
-2/21, 7
What is n in 9*n**3 + 18*n**2 - 38*n**4 + 117*n**4 + 6*n**2 - 40*n**4 - 48 - 42*n**4 - 36*n = 0?
-2, -1, 2, 4
Let r(s) be the first derivative of -15/2*s + 5 - 9/2*s**2 - 1/2*s**3. Factor r(t).
-3*(t + 1)*(t + 5)/2
Let k = -475 - -475. Let z(t) be the first derivative of -1/6*t**3 + 1/2*t + k*t**2 + 7. Let z(q) = 0. Calculate q.
-1, 1
Let -3/2*y**5 + 0 + 0*y**2 + 0*y + 6*y**4 - 6*y**3 = 0. Calculate y.
0, 2
Determine m, given that -2/7*m**5 - 6/7*m**4 + 6/7*m**2 + 2/7*m**3 + 0 + 0*m = 0.
-3, -1, 0, 1
Let i(p) be the first derivative of -p**5/15 + p**4/6 + 8*p**3/9 - 3*p**2 + 3*p + 138. Solve i(k) = 0 for k.
-3, 1, 3
Factor 0 - 3*v - 2 + 4 - 3*v**2 + 16.
-3*(v - 2)*(v + 3)
Suppose 220*u + 1 - 122 - 69*u**4 + 68*u**4 - 78*u**2 - 20*u**3 = 0. Calculate u.
-11, 1
Let 669/2*m + 149187/4 + 3/4*m**2 = 0. What is m?
-223
Suppose 8*v - 11*v + 3 = 0. Let w be 2*v/4*10. Factor -f**w - 3*f**5 + 2*f**3 - f + 3*f**5.
-f*(f - 1)**2*(f + 1)**2
Let h(c) = c**2 + 38*c - 48. Let k(y) = y**2 + 34*y - 48. Let m(o) = -3*h(o) + 4*k(o). Suppose m(r) = 0. Calculate r.
-24, 2
Let j(i) be the second derivative of -13*i - 1/70*i**5 - 4/7*i**2 + 1/14*i**4 + 0*i**3 + 0. Solve j(x) = 0 for x.
-1, 2
Let o be (6/(-4))/((-18)/12). Suppose -g + 2*r - o = -11, 5*r + 16 = -2*g. Find j such that g - 3*j**2 - 5*j + 5 + 2*j - 1 = 0.
-2, 1
Factor z**3 - z**2 - 1/2*z**5 + 1/2 - 1/2*z + 1/2*z**4.
-(z - 1)**3*(z + 1)**2/2
Factor -1/4*h**2 - 2*h - 4.
-(h + 4)**2/4
Suppose 0 = -3*u + 2*n + 17, 4*n + 15 = -2*u + 5. Factor -u*w**3 + 0*w - 1/3*w**2 + 0 - 16/3*w**5 - 8*w**4.
-w**2*(w + 1)*(4*w + 1)**2/3
Suppose -5*x + g + 88 = 0, 2*g + 0 = 4. Suppose 2*p - p**2 - 17*p**2 - x*p**3 + 1 - 4*p**4 + 0*p**2 + 5 = 0. What is p?
-3, -1, 1/2
Let c = 45 - 42. Let x = 0 + 3. Factor c*j + 2*j**5 - j**x - 3*j - j**3 - 2*j**4 + 2*j**2.
2*j**2*(j - 1)**2*(j + 1)
Let a(i) be the third derivative of -5*i**8/168 - i**7/42 + 3*i**6/8 + 13*i**5/12 + 25*i**4/24 - 394*i**2. Suppose a(q) = 0. Calculate q.
-1, 0, 5/2
Suppose -5*i + 0*i = -5. Factor -3 + x**2 + 6*x - 8*x**3 + 2*x**5 + 3*x**2 - i.
2*(x - 1)**3*(x + 1)*(x + 2)
Let l = 5352 + -5349. Factor 0*o - 1/2*o**4 + 0 + 1/2*o**2 + 0*o**l.
-o**2*(o - 1)*(o + 1)/2
Let m(d) be the first derivative of -7 - 2/15*d**3 + 0*d**2 + 0*d. Let m(f) = 0. Calculate f.
0
Factor 2/3*l**2 - 46 - 40/3*l.
2*(l - 23)*(l + 3)/3
Let b(g) = 16*g**2 - 19*g + 17. Let h(a) = 53*a**2 - 55*a + 51. Let p(x) = -14*b(x) + 4*h(x). Find n, given that p(n) = 0.
1, 17/6
Let z(h) be the third derivative of -h**7/210 - h**6/60 + h**5/60 + h**4/12 - 53*h**2 + 1. Let z(t) = 0. Calculate t.
-2, -1, 0, 1
Factor 2/9*o + 2/9*o**2 - 4/9.
2*(o - 1)*(o + 2)/9
Let f be (-184)/56 + 3 - (-115)/35. Find a, given that -2/7*a**f + 0 - 8/7*a**2 - 6/7*a = 0.
-3, -1, 0
Let u(w) be the second derivative of -w**6/10 + 183*w**5/10 - 3841*w**4/4 + 3660*w**3 - 5400*w**2 + 308*w. Factor u(b).
-3*(b - 60)**2*(b - 1)**2
Let d(q) be the first derivative of -2*q**3/3 - 13*q**2/2 - 3*q + 12. Let k be d(-6). What is s in 18/7 + 2/7*s**5 - 2*s**4 + 4*s**k - 4/7*s**2 - 30/7*s = 0?
-1, 1, 3
Suppose f + 19 - 32 = -5*n, 2*n + 2 = 2*f. Suppose 2*y = -q + 8, -4*y + 0*y + q = -10. Let 1/2*t**5 + 0 + y*t**3 - n*t**4 + 1/2*t - 2*t**2 = 0. What is t?
0, 1
Factor -5/3*i**2 - 1/6*i**4 + 0 - 7/6*i**3 + 0*i.
-i**2*(i + 2)*(i + 5)/6
Let q(u) = -10*u**2 + 12*u - 11. Let d(m) = m**2 - m + 1. Let o be -4 + (1 - 1 - -1) + 5. Let p(c) = o*q(c) + 18*d(c). Factor p(v).
-2*(v - 2)*(v - 1)
Let -4 - 4*v**2 - 29*v - 22*v - 17*v - 60 = 0. What is v?
-16, -1
Let g(j) = -4*j + j**3 + 4 + 0*j**3 - 7*j**5 + 2*j**2 + 0*j. Let s(p) = -p**5 + p**4 - p + 1. Let m(l) = -g(l) + 4*s(l). Determine f so that m(f) = 0.
-1, 0, 2/3
Let t(b) be the third derivative of -b**7/1155 + 5*b**5/66 - 64*b**2 - b. Factor t(i).
-2*i**2*(i - 5)*(i + 5)/11
Let o(n) be the second derivative of n**6/120 - 3*n**5/80 - n**4/8 + 7*n**3/6 - 3*n**2 + 2*n + 163. Solve o(l) = 0.
-3, 2
Let z(t) be the second derivative of t**4/54 - 20*t**3/27 + 19*t**2/9 - 16*t + 5. Factor z(u).
2*(u - 19)*(u - 1)/9
Let w(r) = r + 82. Let k be w(24). Let b = -106 + k. Factor b*f**2 - 2/3*f + 2/9*f**3 - 4/9.
2*(f - 2)*(f + 1)**2/9
Suppose 0 = 2*c - 30*c + 56. Let f(p) be the first derivative of c*p - 3*p**2 - 3/2*p**3 - 8 + 7/8*p**4. Suppose f(a) = 0. What is a?
-1, 2/7, 2
Let y(d) be the first derivative of -d**5/20 - 43*d**4/16 - 195*d**3/4 - 2025*d**2/8 + 3375*d/2 + 33. Factor y(a).
-(a - 2)*(a + 15)**3/4
Suppose 9*y = j + 4*y - 24, 4*j + 3*y - 4 = 0. Suppose -u + 4*u = 9. Factor -18*b**3 + 2*b**2 + u*b**j + 8*b**2 + 9 + 26*b**2 - 30*b.
3*(b - 3)*(b - 1)**3
Factor 15/2*t**2 + 0 + 0*t + 3/4*t**3.
3*t**2*(t + 10)/4
Let o(d) be the first derivative of -1/25*d**5 + 14 - 7/15*d**3 + 0*d + 3/10*d**2 + 1/4*d**4. Factor o(a).
-a*(a - 3)*(a - 1)**2/5
Let x(o) be the second derivative of -o**3 - 1/8*o**4 - 3*o**2 + 8*o + 0. Factor x(j).
-3*(j + 2)**2/2
Let m be (1/(-4))/(51/(-34)). Factor -2/3*u + 1/2 + m*u**2.
(u - 3)*(u - 1)/6
Let t = 2363/5845 + -5/1169. Determine k, given that -8/5*k**3 + 2*k**2 - 4/5*k + 0 + t*k**4 = 0.
0, 1, 2
Let h(j) be the second derivative of -j**7/5460 + j**6/780 - j**4/39 - 4*j**3/3 - 6*j. Let p(u) be the second derivative of h(u). Solve p(r) = 0.
-1, 2
Factor 35*r + 50 - 55 + 110*r**3 - 70*r**4 - 5*r**2 + 15*r**5 + 5*r**4 - 85*r**2.
5*(r - 1)**4*(3*r - 1)
Let g(o) be the second derivative of o**6/90 + 19*o**5/12 + 248*o**4/3 + 14848*o**3/9 - 16384*o**2/3 + 41*o + 4. Factor g(z).
(z - 1)*(z + 32)**3/3
Suppose 15*y - 10*y - 20 = 0. Let w = 8 - y. Factor -3*a - 3/2*a**3 + 1/4*a**w + 1 + 13/4*a**2.
(a - 2)**2*(a - 1)**2/4
Let l(f) be the second derivative of 3*f**5/20 + 11*f**4/4 + 2*f**3 - 90*f**2 - 9*f - 4. Let l(r) = 0. Calculate r.
-10, -3, 2
Let a be 423/135*(59 + (-1 - 1)). Let p = a + -178. Factor -p*l**2 - 3/5*l - 1/5 - 1/5*l**3.
-(l + 1)**3/5
Suppose -3*f = -5*f. Suppose 3*b - 2*n - 6 = f, b = -4*n - 1 + 3. Factor -3 + 11 - 6*m - 2*m**2 - 2*m**b + 2*m**2.