) = 13*a(y) - 6*c(y). Factor v(l).
3*(l - 55)*(l - 3)**2
Let 179*q**2 - 225*q**2 - 327*q - 390*q**2 + 4*q**4 - 193*q + 88*q**3 = 0. What is q?
-26, -1, 0, 5
Let d(t) be the third derivative of -t**8/420 - t**7/42 - t**6/45 + 4*t**5/15 + 29*t**3/2 - 105*t**2. Let a(m) be the first derivative of d(m). Factor a(u).
-4*u*(u - 1)*(u + 2)*(u + 4)
Let i(a) = -11*a**3 - 2*a + 9*a**3 - 4*a**2 + 3*a. Let g be i(-4). Let -g*f**2 - 147*f - 145 - 93*f - 194 - 5*f**3 + 19 = 0. What is f?
-4
Let z(d) be the second derivative of -2/15*d**6 + 6*d**2 + 2/147*d**7 - 6/35*d**5 + 50/21*d**4 + 89*d + 0 - 118/21*d**3. Find j, given that z(j) = 0.
-3, 1, 7
Let j(c) be the second derivative of c**4/12 + 2311*c**3/6 - 1156*c**2 - 10044*c. Suppose j(s) = 0. What is s?
-2312, 1
Let p(r) be the second derivative of -2*r**5 + 3545*r**4 - 2513405*r**3 + 1782004145*r**2/2 + 3058*r. Factor p(w).
-5*(2*w - 709)**3
Let c(p) = 12*p**3 + 666*p**2 + 3159*p + 2496. Let j(l) = 3*l**3 + 167*l**2 + 790*l + 624. Let r(i) = 2*c(i) - 9*j(i). Factor r(u).
-3*(u + 1)*(u + 4)*(u + 52)
Let k be (-4*2/50)/(8/(-40)). Factor k - 4/5*n**2 + 2/5*n**3 - 2/5*n.
2*(n - 2)*(n - 1)*(n + 1)/5
Let v be 16/4*2/4. Solve 4*h**2 - 5 + 5*h**v + 81*h + 5*h**3 - 86*h - 4*h**2 = 0.
-1, 1
Let k(j) = j**2 + 16*j - 4. Let x(c) = 2*c**2 + 17*c - 6. Let a = 314 - 308. Let m(u) = a*k(u) - 4*x(u). Suppose m(r) = 0. Calculate r.
0, 14
Let a = 71 - 67. Suppose a*r = -0*y - 3*y + 25, 4*r + y = 19. Let -m**r - 8*m**3 + 6*m - 36*m**5 + 5*m**4 - 4*m**2 + 38*m**5 = 0. Calculate m.
-3, -1, 0, 1
Factor -81*h - 1/6*h**2 + 487/6.
-(h - 1)*(h + 487)/6
Let y(f) = 2*f**3 + 29*f**2 + 49*f + 57. Let m(x) = -x**3 - 14*x**2 - 26*x - 28. Let r(z) = 7*m(z) + 3*y(z). Determine v so that r(v) = 0.
-5, -1
Let b(g) be the second derivative of -g**6/15 + 3*g**5/10 + 11*g**4/3 - 8*g**3 + 238*g. Factor b(d).
-2*d*(d - 6)*(d - 1)*(d + 4)
Let x be (-53 - (-29580)/561)/((-2)/33). Let t be 12/(-16)*(-4)/6. Factor -t*u**2 - x + 3*u.
-(u - 3)**2/2
Let k be -9*20*(-33)/4950. Suppose k*d**2 + 0*d - 3/5 + 0*d**3 - 3/5*d**4 = 0. What is d?
-1, 1
Let x(a) = 2*a**2 + 98*a + 1160. Let s be x(-29). Factor 16/5*q**2 + s + 0*q - 4/5*q**3.
-4*q**2*(q - 4)/5
Let m = 22 + -25. Let r be (2 - 3) + 7 + m. Suppose -3*f**4 + 16*f**5 + 16*f**5 + f**r + f**3 - 34*f**5 = 0. Calculate f.
-2, 0, 1/2
Let a(s) be the first derivative of s**5 + 15*s**4/4 - 35*s**3/3 - 135*s**2/2 - 90*s + 61. What is i in a(i) = 0?
-3, -2, -1, 3
Let c(l) be the first derivative of 18*l**5/35 + l**4/2 - 22*l**3/21 - l**2 + 4*l/7 - 44. Find b such that c(b) = 0.
-1, 2/9, 1
Let r(i) = -2 + 8*i + 28*i**2 - 8 - 13 - 51*i. Let m(p) = 99*p**2 - 150*p - 81. Let a(y) = 5*m(y) - 18*r(y). Factor a(v).
-3*(v - 3)*(3*v + 1)
Let s(b) = -b**3 - 2206*b**2 + 13288*b + 12. Let i be s(6). Find n, given that i*n - 2/3*n**4 + 0 - 32/3*n**3 - 30*n**2 = 0.
-9, 0, 2
Let c(b) be the second derivative of b**7/1260 + b**6/10 + 27*b**5/5 + 162*b**4 - 7*b**3 - b + 8. Let i(t) be the second derivative of c(t). Factor i(f).
2*(f + 18)**3/3
Find h such that 742*h**3 - 184*h**3 - 16*h**2 + 55*h - 183*h**3 - 186*h**3 - 188*h**3 = 0.
0, 5, 11
Let o(d) = 4*d**3 - 159*d**2 + 316*d - 156. Let m(k) = -k**3 + k - 1. Let f(r) = 5*m(r) + o(r). Factor f(j).
-(j - 1)**2*(j + 161)
Let y = -1140 + 1130. Let t be 9*((-63)/(-182) - y/65). Let 21/4 + t*p - 3/4*p**2 = 0. Calculate p.
-1, 7
Factor 309*z - 44*z + 18*z - 2*z**4 - 68*z**3 - 11*z + 8*z**2.
-2*z*(z - 2)*(z + 2)*(z + 34)
Let l(q) be the second derivative of -2/21*q**4 + 2/105*q**6 + 0*q**2 + 3/70*q**5 - 4/21*q**3 - 1/147*q**7 + 0 + 112*q. Factor l(f).
-2*f*(f - 2)**2*(f + 1)**2/7
Factor 1/3*x**2 + 221*x - 664/3.
(x - 1)*(x + 664)/3
Let y(d) be the first derivative of -d**5/30 + 15*d**4/2 - 675*d**3 + d**2/2 + 102*d - 168. Let z(w) be the second derivative of y(w). Factor z(p).
-2*(p - 45)**2
Let c(f) = -2*f**3 - 248*f**2 - 264*f. Let i(d) = 6*d**3 + 745*d**2 + 790*d. Let l(y) = -17*c(y) - 6*i(y). Factor l(o).
-2*o*(o + 1)*(o + 126)
Suppose 9*b - 74 = -5*n, -5*n + b + 3153 - 3139 = 0. Let -2/5 - 4/5*o**3 - 8/5*o**2 + 2*o**n + 8/5*o - 4/5*o**5 = 0. Calculate o.
-1, 1/2, 1
Suppose -219 = -3*m + o, -2*o - 6 = -0*o. Solve -10*g - m - 18*g - 72 + 4*g**3 - 180*g - 60*g**2 = 0.
-2, -1, 18
Let v(j) be the third derivative of -j**5/30 - j**4/3 - j**3 - 100*j**2 - j. Factor v(c).
-2*(c + 1)*(c + 3)
Let m(f) be the second derivative of 4*f**2 + f - 1/6*f**3 - 7/12*f**4 + 70. Determine s so that m(s) = 0.
-8/7, 1
Let l = 272 + -257. Factor 311*y + 4 + 0 - 326*y - l*y**4 + 1 + 5*y**5 + 10*y**3 + 10*y**2.
5*(y - 1)**4*(y + 1)
Let s(j) = -39*j**3 + 72*j**2 + 1056*j - 138. Let g(d) = -38*d**3 + 68*d**2 + 1054*d - 137. Let z(q) = -6*g(q) + 7*s(q). Factor z(w).
-3*(w - 6)*(w + 4)*(15*w - 2)
Let q = -12298/7 - -1759. Let n be -3*24/18 + 8 + -2. Solve 3*b - q*b**n - 6/7 = 0.
2/5, 1
Let t(q) be the first derivative of 0*q**2 + 0*q - 40/3*q**3 - 56 - 9/2*q**5 - 15*q**4 - 5/12*q**6. Factor t(g).
-5*g**2*(g + 1)*(g + 4)**2/2
Factor f**3 + 21*f - 6*f**2 - 50*f**2 - 76*f + 0*f**3 - 2*f**3.
-f*(f + 1)*(f + 55)
Let d(l) = l**2 + 5. Let y be d(5). Suppose y = 2*x + 4*x. Solve -2*w**2 + x*w - 10*w**4 - 13*w**2 - 6*w**3 + 21*w**3 + 5*w**4 = 0.
0, 1
Let z(r) = 2*r**2 + 6742*r + 33664. Let c be z(-5). Factor 567/5*n - 27*n**2 - 3/5*n**3 - 648/5 + 3/5*n**c.
3*(n - 3)**3*(n + 8)/5
Suppose 1 - 13 = 13*w - 12. Let z(g) be the third derivative of w*g + 28*g**2 + 0*g**3 + 0 - 1/6*g**4 + 1/120*g**5. Solve z(v) = 0.
0, 8
Let v(g) be the third derivative of 0 - 6*g + 5/24*g**6 + 95/8*g**4 - 7*g**2 + 15*g**3 + 8/3*g**5. Factor v(n).
5*(n + 3)**2*(5*n + 2)
Let l(q) be the third derivative of -q**6/540 - 31*q**5/90 + 7*q**4/4 - 95*q**3/27 + 1529*q**2. Factor l(s).
-2*(s - 1)**2*(s + 95)/9
Suppose 479 - 303 = -7*o + 253. Let g(q) be the third derivative of -1/25*q**5 - o*q**2 - 2/15*q**3 + 0 - 3/50*q**6 + 0*q + 1/6*q**4. Factor g(w).
-4*(w + 1)*(3*w - 1)**2/5
Let q be ((-10)/(-6))/(2/54*9). Suppose 0 = 4*n + 3*p - 6, -q*n - 32*p - 2 = -33*p. What is w in 0 + 0*w**3 + n*w + 1/7*w**2 - 1/7*w**4 = 0?
-1, 0, 1
Let q(s) be the second derivative of -s**5/10 - s**4/12 + 43*s**3/6 + 30*s**2 - 147*s. Factor q(t).
-(t - 5)*(t + 4)*(2*t + 3)
Let c(j) be the third derivative of 0*j + 0 - 7/40*j**6 - 9*j**3 + 56*j**2 + 3/8*j**4 + 13/20*j**5 + 1/70*j**7. Suppose c(s) = 0. Calculate s.
-1, 2, 3
Let k(y) = -y**2 + 22*y - 69. Let f be k(18). Let -20 - 214*n**2 - 81*n**f - 395*n - 227*n**2 + 211*n = 0. What is n?
-5, -2/9
Let l(x) be the third derivative of -x**5/10 + 1189*x**4/18 - 176*x**3/3 + 462*x**2 - 2*x. Solve l(v) = 0 for v.
2/9, 264
Suppose 5*f - 5*m = -4*m + 39, 0 = -5*f + 2*m + 38. What is j in -5*j**2 + j**2 + f*j - j**5 + 5*j**4 + 1476*j**3 - 1482*j**3 = 0?
-1, 0, 2
Let j(m) be the first derivative of m**4/4 - 25*m**3/3 + 88*m**2 - 260*m - 5421. Let j(w) = 0. Calculate w.
2, 10, 13
Let m = 2057617 + -2057605. Factor 2*o + m - 2/3*o**3 - 8/3*o**2.
-2*(o - 2)*(o + 3)**2/3
Let b(k) = 154*k + 839. Let f be b(-9). Let z = -545 - f. Factor 10/3*i + z*i**2 - 2/3*i**3 + 4/3 - 2/3*i**4.
-2*(i - 2)*(i + 1)**3/3
Let c be 8/6 - (-4 - -6)/2. Let u be 0/(-3 + 4 + -5). Factor -1/3*z**2 + u - c*z.
-z*(z + 1)/3
Suppose -19384*u + 19368*u = -64. Let b(o) be the first derivative of -5/4*o**u + 0*o + 0*o**2 + 15 + 10/3*o**3. Suppose b(l) = 0. Calculate l.
0, 2
Let z(t) = 59*t**2 + 4478*t + 8907. Let i(h) = 43*h**2 + 3358*h + 6680. Let b(d) = -11*i(d) + 8*z(d). Factor b(x).
-(x + 2)*(x + 1112)
Let o(z) be the first derivative of -z**4/26 - 30*z**3/13 + z**2/13 + 90*z/13 - 1705. Factor o(r).
-2*(r - 1)*(r + 1)*(r + 45)/13
Let h = 42314 - 42310. Let b(s) be the first derivative of 0*s - s**h - 6 + 8/5*s**2 + 32/15*s**3. Factor b(o).
-4*o*(o - 2)*(5*o + 2)/5
Let k(q) = 38*q**2 + 1446*q - 687. Let w(b) = 18*b**2 + 723*b - 345. Let v(d) = 6*k(d) - 13*w(d). Determine r, given that v(r) = 0.
-121, 1/2
What is q in 35*q**4 - 4*q**5 - 25 - 63*q**3 - 28 - 18*q**2 + 53 = 0?
-1/4, 0, 3, 6
Solve -116/3*s**2 - 4/3*s**3 - 784/3 - 896/3*s = 0 for s.
-14, -1
Let u(o) = o + 18. Let v(b) = 3*b + 37. Let w(t) = -13*u(t) + 6*v(t). Let m be w(8). Factor 20*g + 4*g**2 + 2*g**4 - 47*g**2 - g**2 - 6*g**4 + m*g**3.
-4*g*(g - 5)*(g - 1)**2
Factor -5474/5*p - 152881/5*p**2 - 4