 0*y**3. Factor u(o).
2*o**4*(o - 1)/3
Let m(g) be the first derivative of g**5/5 + 71*g**4 - 192*g**3 - 568*g**2 + 2288*g + 3516. Determine b so that m(b) = 0.
-286, -2, 2
Let m be 826/(((-8)/(-12))/((-8)/6)). Let n = m - -1654. Factor -75/7*t**3 - 435/7*t**n - 60/7 - 312/7*t.
-3*(t + 5)*(5*t + 2)**2/7
Let j(s) be the second derivative of 5*s**4/12 + 70*s**3/3 + 735*s**2/2 - 1031*s. Factor j(x).
5*(x + 7)*(x + 21)
Let c(z) be the third derivative of -z**6/600 - 11*z**5/50 + 17*z**4/15 - 222*z**2. Determine y, given that c(y) = 0.
-68, 0, 2
Let v(b) = 69*b**3 - 1278*b**2 + 789*b - 168. Let z(p) = 34*p**3 - 639*p**2 + 396*p - 83. Let l(y) = 7*v(y) - 15*z(y). Factor l(h).
-3*(h - 23)*(3*h - 1)**2
Let r(q) be the first derivative of -24*q**2 - 248/3*q**3 - 83*q**4 + 0*q + 30 + 25/3*q**6 - 2*q**5. Let r(i) = 0. Calculate i.
-2, -2/5, 0, 3
Let a be 122 + -8 + (-7 - -24). Let -3*y**2 + 498*y - a - 11609 - 8927 = 0. Calculate y.
83
Let p be (2805/22)/(-5) - -26. What is l in -1/4*l**3 + p + l**2 - 5/4*l = 0?
1, 2
Let g(t) be the first derivative of -3*t**4/20 + 16*t**3/5 - 189*t**2/10 + 469. Solve g(m) = 0.
0, 7, 9
Let b(z) be the second derivative of z**5/60 + z**4 + 119*z**3/6 + 289*z**2/3 - 4987*z. Factor b(u).
(u + 2)*(u + 17)**2/3
Factor -216/7*f**2 + 0 - 2/7*f**4 + 48/7*f**3 + 0*f.
-2*f**2*(f - 18)*(f - 6)/7
Let w(j) be the second derivative of -3/140*j**5 + 0*j**2 + 0*j**3 + 0 + 0*j**4 + 64*j - 1/10*j**6. Factor w(x).
-3*x**3*(7*x + 1)/7
Let s(n) be the second derivative of -2*n - 8/5*n**3 + 69/100*n**5 + 38 - 1/10*n**7 + 1/10*n**6 - 6/5*n**2 - 1/20*n**4. Find r, given that s(r) = 0.
-1, -2/7, 1, 2
Let i(a) be the second derivative of -a**7/1260 + a**5/60 + 49*a**4/12 + 32*a. Let p(j) be the third derivative of i(j). Let p(k) = 0. Calculate k.
-1, 1
Let m(c) = 63*c**2 - 2052*c - 4128. Let d(f) = -37*f**2 + 1231*f + 2477. Let b(x) = 12*d(x) + 7*m(x). Suppose b(o) = 0. Calculate o.
-2, 138
Suppose -k - i = -3*i - 10, 0 = 3*i + 9. Suppose -2*g + 2 = -k*m, 12 + 4 = g + 3*m. Factor g*a**2 + 2*a - 3*a**2 - 14*a.
4*a*(a - 3)
Let h(a) be the second derivative of -a**6/15 + 67*a**5/10 - 541*a**4/3 - 1564*a**3/3 + 6936*a**2 - 6951*a. Factor h(f).
-2*(f - 34)**2*(f - 2)*(f + 3)
Suppose -1292 + 1066 = -113*p. Let a = -8 + 8. Factor 2/11*n + 2/11*n**p + a.
2*n*(n + 1)/11
Let j(v) = -v**3 + 8*v**2 - 3*v - 17. Let g be j(7). Suppose 29 + g = 8*o. What is q in -5 + 25*q**2 + 5*q - 1 + o - 1 = 0?
-2/5, 1/5
Let v(p) be the second derivative of -8*p**6/15 + 38*p**5/5 - 155*p**4/4 + 75*p**3 + 26*p + 12. Let v(t) = 0. What is t?
0, 2, 15/4
Suppose 116*v - 109*v = 0. Suppose 4*b + 3 = -5*q + 2*q, v = 4*q + 4. What is u in 2/9*u**5 + b + 0*u - 2/9*u**2 + 2/3*u**3 - 2/3*u**4 = 0?
0, 1
Let q = -1840 + 1866. Suppose 5*l + q = 61*s - 60*s, l + 34 = 5*s. Factor -3/2*t**2 - 6*t - s.
-3*(t + 2)**2/2
Let r(i) be the third derivative of i**9/12096 - i**8/6720 + 89*i**3/3 - 13*i**2. Let j(y) be the first derivative of r(y). Factor j(w).
w**4*(w - 1)/4
Let n = -526843/147 + 3584. Let b = 44/147 + n. Factor 1/3*a**2 + 0*a**3 + 0 - b*a**4 + 0*a.
-a**2*(a - 1)*(a + 1)/3
Let a(r) = -3*r**2 - 5*r - 8. Let w be a(-1). Let z be (-9)/(-42)*(-105)/w. Factor 27/2*j**2 - 12*j - 6*j**3 + z + 3/4*j**4.
3*(j - 5)*(j - 1)**3/4
Find l, given that 337*l**3 + 124*l + 32*l**2 - 260 - 66*l - 335*l**3 = 0.
-13, -5, 2
Let k be 1776/(-2220)*((-6)/8)/(27/18). Suppose -1/5*g**3 - k - 1/5*g**4 + 3/5*g**2 + 1/5*g = 0. Calculate g.
-2, -1, 1
Find r such that 0 + 144*r**3 + 122*r**2 + 8*r + 113/2*r**4 + 7*r**5 = 0.
-4, -2, -1/14, 0
Let n(f) = 5*f**3 - 34*f**2 - 4*f. Let j(r) = 2*r**3 - 4*r**2 - r. Let w(o) = -4*j(o) + n(o). Factor w(d).
-3*d**2*(d + 6)
Let r be 12/(-27)*(3 - 12). Determine g so that 8*g**2 - g - 6*g**4 + 5*g**r - g**4 + 0*g**4 - 4*g**3 + 17*g = 0.
-2, 0, 2
Factor -23 - 9747*k - 10434*k**3 - 19 + 19836*k**2 - 17 + 59 + 348*k**4 - 3*k**5.
-3*k*(k - 57)**2*(k - 1)**2
Let a(h) be the second derivative of -4/7*h**2 - 13/42*h**4 + 0 + 35*h - 4/3*h**3. Factor a(w).
-2*(w + 2)*(13*w + 2)/7
Let f be (35/(-20) + 5)/1 - 3. Let l = 21097/28124 - 1/7031. Factor 3 + f*u**3 - l*u**2 - u.
(u - 3)*(u - 2)*(u + 2)/4
Suppose -60*z + 115 + 151 = 26. Factor 0 - 3/4*h**3 + 0*h**2 - 1/4*h**z + 0*h.
-h**3*(h + 3)/4
Let f(i) be the third derivative of -i**6/30 - 4*i**5/15 + 19*i**4/6 - 28*i**3/3 + 14*i**2 + 127*i + 1. Factor f(y).
-4*(y - 2)*(y - 1)*(y + 7)
Let x = 66 - 62. Let f be (20 - 101168/5152) + (-1)/(-14). Determine y, given that -f*y**x + 2/23*y**5 + 0*y + 0 + 6/23*y**3 + 18/23*y**2 = 0.
-1, 0, 3
Let q(g) = g**3 + 9*g**2 + 403*g + 1158. Let n be q(-3). Suppose 3/8*u**3 - 3/2*u - 3/4*u**2 + n = 0. Calculate u.
-2, 2
Let d be ((-2)/(-4))/(12*14/1344). Let m(j) be the second derivative of 0 - 3/20*j**5 + 0*j**3 - 1/4*j**d + 7*j + 0*j**2. Factor m(b).
-3*b**2*(b + 1)
Let f be ((72/15)/4)/(3/10). Suppose 2 = -f*l + 14. Suppose -4 - 2*h**3 + 4*h**l + 1 + 3*h**2 - 3*h + h**3 = 0. Calculate h.
-1, 1
Let f(m) be the third derivative of -m**7/3780 + m**6/540 - m**5/180 - m**4/12 - 8*m**3/3 + 55*m**2. Let j(w) be the second derivative of f(w). Factor j(k).
-2*(k - 1)**2/3
Let t(l) = 4*l**3 - 13*l**2 - 52*l - 22. Let w(j) = 4*j**3 - 4*j**3 + 5*j - j**3 - 2*j**2 - 4*j + 1. Let b(z) = -t(z) + 2*w(z). Find x, given that b(x) = 0.
-2, -1/2, 4
Let h(j) = 146*j + 18. Let z be h(1). Factor -5*r**2 + z*r + 1805 + 10*r**2 + 26*r.
5*(r + 19)**2
Let z = 10732248/13 - 825114. Factor z*b - 186/13*b**2 - 59582/13 + 2/13*b**3.
2*(b - 31)**3/13
Suppose 2*d = -5*g + 241 + 266, -g + 96 = -5*d. Suppose -127 + g = -13*w. Solve 1/3 + 0*f - 1/3*f**w = 0 for f.
-1, 1
Let n = 5191 + -5189. Let s be (-52)/91*7/(-1). Determine c, given that -1/3*c**5 + 0*c + 1/3*c**3 + 0*c**s + 0 + 0*c**n = 0.
-1, 0, 1
Let y(v) be the third derivative of v**7/315 + 7*v**6/60 + 59*v**5/45 + 5*v**4/3 - 200*v**3/9 - 1201*v**2. What is t in y(t) = 0?
-10, -2, 1
Let d(w) be the third derivative of 0*w + 31/20*w**5 + 1 - 255/8*w**4 + 225/2*w**3 + 4*w**2 - 1/40*w**6. Factor d(y).
-3*(y - 15)**2*(y - 1)
Let j(n) be the first derivative of 5*n**4/4 + 1025*n**3/3 + 3995*n**2/2 - 5025*n + 4107. Factor j(t).
5*(t - 1)*(t + 5)*(t + 201)
Let h(o) be the second derivative of o**6/6 + 8*o**5 + 185*o**4/2 - 1360*o**3/3 + 1445*o**2/2 + 1422*o. Factor h(w).
5*(w - 1)**2*(w + 17)**2
Let q = 127778 - 1150001/9. Solve 0 + 0*b - 5/9*b**3 - q*b**5 - 2/9*b**2 - 4/9*b**4 = 0.
-2, -1, 0
Let p be (0/2)/(-1) - -4. Suppose -p*l + m + 7 = 0, 2*l + 4*m = -l + 10. What is r in 3*r**2 + l*r**2 - 5 - 596*r**3 + 5*r + 591*r**3 = 0?
-1, 1
Let q(v) be the second derivative of 1/30*v**6 + 0*v**5 + 2 + 1/2*v**2 - 280*v - 1/6*v**4 + 0*v**3. Find h, given that q(h) = 0.
-1, 1
Let k = -97898 - -97904. Factor k + 54*f + 231/2*f**2.
3*(7*f + 2)*(11*f + 2)/2
Let i = -2228176/3 + 742729. Factor -28/3 - 1/3*b**2 + i*b.
-(b - 7)*(b - 4)/3
Let h = 2193 + -2188. Let a(j) be the first derivative of 6*j**2 - h - 8*j - 4/3*j**3. Suppose a(b) = 0. Calculate b.
1, 2
Let l be (-3 + ((-204)/(-33))/2)/(8/16). Factor l*p**2 - 18/11 - 16/11*p.
2*(p - 9)*(p + 1)/11
Let g(c) = 3*c - 29. Let q(t) = -2*t + 15. Let f(u) = -3*g(u) - 5*q(u). Let a be f(7). Solve 1 + a*k**3 + 6*k**4 - 6*k**2 - 1 - 33*k**3 + 14*k**5 = 0.
-1, -3/7, 0, 1
Let b(q) = 3*q**2 - 5 + 0*q - 1 - 11 + q + 5. Let f be b(2). Factor -1/4*d**f + 1 - 3/4*d.
-(d - 1)*(d + 4)/4
Let u be (42/(-28) - 3/(-2))*-1. Factor -41 + 3*j**2 - 40*j + u*j**2 - 17 + 5*j**3 + 2*j**2 - 2.
5*(j - 3)*(j + 2)**2
Let q(p) be the first derivative of -5*p**4/16 + 17*p**3/12 + 7*p**2/4 - 2*p - 1589. Let q(y) = 0. What is y?
-1, 2/5, 4
Let d be (-3)/(-72)*3 - (26943/504 + -55). Factor d*w**2 + 140/3*w + 980/3.
5*(w + 14)**2/3
Let p(m) = 51*m - 1281. Let h be p(40). Let f(d) = d**2 + 5*d + 2. Let q be f(-5). Solve -4*o**q + h - 759 - 4*o = 0.
-1, 0
Let a = -4479 - -22396/5. Let i(b) be the second derivative of 0*b**2 + 0*b**4 - 3*b - a*b**6 + 0 + 3/20*b**5 + 0*b**3. Factor i(w).
-3*w**3*(2*w - 1)
Factor -3/4*v**3 + 687/4*v**2 + 1383/4*v + 693/4.
-3*(v - 231)*(v + 1)**2/4
Let m(f) be the third derivative of 1/270*f**5 + 0*f**4 + 17*f**2 + 0 - 1/27*f**3 + 0*f. Factor m(p).
2*(p - 1)*(p + 1)/9
Let t = 182/237 - 72341/13035. Let c = -23/5 - t. Suppose 0 - 2/11*p + 8/11*p**2 - 12/11*p