ate i.
-1, 2/3, 2
Let a(h) be the second derivative of -h**4/20 - 186*h**3/5 - 51894*h**2/5 - 5*h + 70. Let a(l) = 0. What is l?
-186
Let d be (-3)/2 - 39585/(-58). Let n = -105 + d. Let 64*m**5 + 1536*m**2 - n*m**3 + 52*m**4 - 67*m**5 - 32*m**4 + 52*m**4 = 0. What is m?
0, 8
Let g(m) be the first derivative of m**6/30 - 8*m**5/25 - 887*m**4/20 - 406*m**3/15 + 23030*m**2 + 343000*m + 1496. Factor g(w).
(w - 25)**2*(w + 14)**3/5
Let i(f) = -f - 51*f**2 - 52*f**2 - 49*f**2 + 153*f**2. Let o(k) = 20*k**2 + 15*k + 45. Let l(z) = -15*i(z) + o(z). Let l(a) = 0. Calculate a.
-3
Solve -1464/7*u**3 - 133956/7 + 19136*u**2 + 1464/7*u + 4/7*u**4 = 0.
-1, 1, 183
Let f(p) be the first derivative of -30*p**4/7 + 284*p**3/21 + 108*p**2/7 + 36*p/7 + 1557. Solve f(m) = 0 for m.
-1/3, -3/10, 3
Let p(k) be the first derivative of 5*k**4/4 - 455*k**3/3 + 875*k**2/2 + 1335*k + 3294. Determine l so that p(l) = 0.
-1, 3, 89
Let r = -354/5359 + 6421/16077. Factor 19/3*o**2 + 11/3*o**3 + r*o**4 + 3*o + 0.
o*(o + 1)**2*(o + 9)/3
Suppose -5*j + 72 = -2*j. Let f = 678 - 332. Factor f - 688 + 333 - 15*y**2 + j*y.
-3*(y - 1)*(5*y - 3)
Let j(r) be the second derivative of -1/24*r**4 + 55*r + 1 + 1/2*r**3 - 5/4*r**2. Factor j(i).
-(i - 5)*(i - 1)/2
Let j(r) be the first derivative of -r**3/9 + 4*r**2/3 - 4*r + 1315. Factor j(g).
-(g - 6)*(g - 2)/3
Let i = 10186 - 10180. Let c(t) be the second derivative of 0 + 2*t**2 - 2/3*t**4 + 2/21*t**7 + 24*t - 2/5*t**5 + 2/3*t**3 + 2/15*t**i. Factor c(r).
4*(r - 1)**2*(r + 1)**3
Let f(m) be the second derivative of -m**7/42 - 21*m**6/50 + 13*m**5/50 + 1969*m. Factor f(k).
-k**3*(k + 13)*(5*k - 2)/5
Let j(z) be the second derivative of -z**5/10 + 16*z**4/3 - 80*z**3/3 - 3200*z**2 + 4*z - 110. Suppose j(f) = 0. Calculate f.
-8, 20
Let w(s) be the first derivative of 26*s**3/15 + 431*s**2/15 + 44*s/15 + 47. Determine q, given that w(q) = 0.
-11, -2/39
Let q = -15528/133 + -1180/19. Let z = q + 179. Suppose 0 + 4/7*n**3 + 4/7*n**2 + z*n**4 + 0*n = 0. What is n?
-2, 0
Let t(d) be the first derivative of -d**3/3 + d**2 + 2*d - 19. Let i be t(2). Factor -66 - 2*h**3 - i*h**4 + 2*h**2 + 2*h + 66.
-2*h*(h - 1)*(h + 1)**2
Let c be 220/45 - (2794/(-198) + 15). Find p such that p**3 - 1/5*p**c + 0*p + 0 - 6/5*p**2 = 0.
0, 2, 3
Let a = 2 + -2. Let n be -8*(561/44 - 13). Factor 0 - 5/4*z**3 - 1/4*z**5 - z**4 + a*z - 1/2*z**n.
-z**2*(z + 1)**2*(z + 2)/4
Factor 465*g**2 - 23*g**3 - 94*g**3 - 124*g - 955*g**4 + 967*g**4 - 114*g**3 + 22*g.
3*g*(g - 17)*(g - 2)*(4*g - 1)
Let f(a) = a**2 - a - 1. Let k(l) = 146*l**4 - 25*l**3 + 116*l**2 + 4*l + 25*l - 1 - 166*l**4. Let z(p) = f(p) - k(p). Find b such that z(b) = 0.
-3, -1/4, 0, 2
Let p be 1100/(-66) - (-1)/(-3). Let f be p/(-4) - 305/244. Factor 2/7*i**f + 0*i + 2/7*i**2 + 0.
2*i**2*(i + 1)/7
Let v(y) = 18*y**5 + 75*y**4 + 42*y**3 - 996*y**2 + 1581*y - 705. Let x(l) = -l**5 - l**3 - l**2 + 3*l - 1. Let b(f) = v(f) + 15*x(f). Solve b(j) = 0.
-24, -5, 1, 2
Let w(n) = 4*n**3 - 274*n**2 - 850*n - 563. Let i(f) = -33*f**3 + 2190*f**2 + 6801*f + 4503. Let j(c) = -12*i(c) - 100*w(c). Factor j(r).
-4*(r - 283)*(r + 1)*(r + 2)
Let d(f) be the third derivative of f**7/630 - f**6/10 + 413*f**5/180 - 265*f**4/12 + 100*f**3 - 4*f**2 + 43*f. Factor d(w).
(w - 15)**2*(w - 4)*(w - 2)/3
Let d(b) = -13*b - 1 - 2 + 28*b**3 - 1 - 8*b**2 - 29*b**3. Let r be d(-6). Find y such that 1 - 25 - 30*y**4 - 8*y - 57*y**2 + 93*y**r + 78*y**2 - 52*y**3 = 0.
-3, -2/5, 2/3, 1
Let c(x) be the second derivative of -x**7/168 + 79*x**6/120 - 1053*x**5/40 + 4901*x**4/12 - 2197*x**3/3 + 6*x - 9. Factor c(k).
-k*(k - 26)**3*(k - 1)/4
Let n(k) be the third derivative of k**6/240 + k**5/4 + 101*k**4/48 - 50*k**3 - 16148*k**2. Suppose n(l) = 0. What is l?
-25, -8, 3
Let h(o) be the first derivative of -1/4*o**2 - 156 - 1/3*o + 0*o**3 + 1/24*o**4. Find d such that h(d) = 0.
-1, 2
Let n(k) be the first derivative of -k**5/4 + 19*k**4/8 - 16*k**3/3 - 4*k**2 - 8434. Let n(s) = 0. What is s?
-2/5, 0, 4
Let u(c) = 11*c**5 - 23*c**4 + 3*c**3 - 23*c**2 + 4*c + 7. Let i(f) = 10*f**5 - 22*f**4 + 6*f**3 - 22*f**2 + 4*f + 6. Let b(h) = -7*i(h) + 6*u(h). Factor b(x).
-4*x*(x - 1)**4
Let x(q) = 40040 + 199*q**2 - 5*q**3 - 724*q - 5296*q + 121*q**2. Let i(u) = u**2 - u + 2. Let a(w) = 20*i(w) - x(w). Determine k so that a(k) = 0.
20
Let d(x) be the first derivative of 68*x**2 - 4/3*x**3 - 52 - 1156*x. Factor d(n).
-4*(n - 17)**2
Suppose 3 = -3*z, -3*y + 14 = 4*z - 3. Suppose -5*l - 45 + 70 = 0. What is s in 8*s - 10*s**2 + 2*s**l + 10*s**4 - 5*s - y*s**5 + 2*s = 0?
-1, 0, 1
Let p = -23 + 26. Suppose 4*s + 26 - 8 = -p*g, 5*s = 0. Let y(o) = 5*o**3 - o**2 - 5*o + 7. Let t(q) = q**3 - q + 1. Let x(l) = g*t(l) + y(l). Factor x(u).
-(u - 1)*(u + 1)**2
Let d = 12055/231 - 3967/77. Factor 7/3*a**3 + 5/3*a**4 - a**2 - 7/3*a - d.
(a - 1)*(a + 1)**2*(5*a + 2)/3
Let n(h) be the first derivative of -h**4/6 - 76*h**3/9 - 914. Factor n(u).
-2*u**2*(u + 38)/3
Let o be (-75)/12 + (-2)/(-8) + (-805992)/(-109908). Let -o*y**3 - 16/3*y**2 - 16/3*y + 0 = 0. What is y?
-2, 0
Let r(l) = 7*l**3 - 2*l**2 + 4. Let m be r(0). Let s(u) be the third derivative of 0 - 4/9*u**3 + 0*u - 16*u**2 + 1/18*u**m + 1/45*u**5. Factor s(j).
4*(j - 1)*(j + 2)/3
Factor -11845466/13*f - 2630884/13 - 29200/13*f**2 - 18/13*f**3.
-2*(f + 811)**2*(9*f + 2)/13
Let n(m) be the first derivative of -14 + 17*m - 1/9*m**2 + 2/27*m**3 - 1/54*m**4. Let j(v) be the first derivative of n(v). Factor j(g).
-2*(g - 1)**2/9
Let r be ((-4)/16 - 0)/((-2)/88). Suppose -5*g + 4 = -r. Factor 53*f + 9 + 4*f**g - 4*f**3 - f**3 - 5*f**2 - 56*f.
-(f - 1)*(f + 3)**2
Let q(b) = 5*b**3 - 13*b**2 + 10*b + 10. Let t be q(-16). Let z be t/231*(-28)/18. Factor 88/3*u + z + 4/3*u**2.
4*(u + 11)**2/3
Let c be -2*(-23)/8 - 13/(-52). Let v(k) = 3*k + 49. Let a be v(-15). Solve -3/4*q**5 - c*q + 9/2*q**3 + 0 - 3/4*q**a + 3*q**2 = 0.
-2, 0, 1, 2
Let v(l) be the third derivative of 1/15*l**5 + 0 - 1/60*l**6 + 0*l**3 - 2*l + 0*l**4 - 20*l**2 - 1/105*l**7. Factor v(j).
-2*j**2*(j - 1)*(j + 2)
Let f(b) = -115*b**2 + 3 + 120*b**2 - 2*b + 2*b - 8*b. Suppose -2*l + i = -3, 2*l - 2*i - 1 = 3. Let g(p) = -p + 1. Let n(v) = l*f(v) - 3*g(v). Factor n(h).
5*h*(h - 1)
Let d be (-12 - (10 + -20))*(-10)/(-4) + 5. Let w(q) be the second derivative of d - 5*q**4 - 2*q**3 - 19*q - 69/20*q**5 + 0*q**2 - 7/10*q**6. Factor w(x).
-3*x*(x + 1)*(x + 2)*(7*x + 2)
Let o(y) be the third derivative of y**7/1365 - y**6/39 + 19*y**5/390 - 1497*y**2. Let o(a) = 0. What is a?
0, 1, 19
Let t(b) be the first derivative of -25/2*b**2 + 25/4*b**4 + 10*b + 52 - 10/3*b**3. Determine k so that t(k) = 0.
-1, 2/5, 1
Let v(m) = -50*m + 1202. Let p be v(24). Let a(h) be the first derivative of 15 + 3/2*h**p - 1/5*h**3 - 9/5*h - 3/20*h**4. Solve a(c) = 0 for c.
-3, 1
Let j(w) = 6*w**4 + 29*w**3 - 11*w**2 - 4*w - 12. Let i(z) = 11*z**4 + 58*z**3 - 23*z**2 - 7*z - 21. Let m(v) = 4*i(v) - 7*j(v). Factor m(s).
s**2*(s + 15)*(2*s - 1)
Suppose -15*s = -14*s + l - 13, -10 = -s + 2*l. Suppose 135*a = 141*a - s. Let 5*b - 5/3*b**a - 10/3 = 0. What is b?
1, 2
Let d(u) = 4*u**2 + 1115*u - 261. Let c(y) = -12*y**2 - 3345*y + 777. Let n(b) = 3*c(b) + 10*d(b). Factor n(x).
(x + 279)*(4*x - 1)
Suppose -r - 150 = -3*t, 5*r = 3*t - 22 - 140. Let q be 2/(-7) - (-6 - 945/t). Factor -y**2 + 6*y**2 - 10*y**2 + q + 20*y.
-5*(y - 5)*(y + 1)
Let m(z) be the second derivative of 3/4*z**2 - 116*z + 1/3*z**3 + 1/24*z**4 + 0. What is p in m(p) = 0?
-3, -1
Let a(w) be the first derivative of -4/39*w**3 - 8/13*w + 1/26*w**4 - 7/13*w**2 - 151. Factor a(i).
2*(i - 4)*(i + 1)**2/13
Let x = 539 - 534. What is v in -4*v**2 - x*v + 3*v**2 + 2*v**2 + 3*v + 0*v = 0?
0, 2
Let f(c) be the first derivative of 9/2*c + 201/16*c**4 + 159/8*c**2 - 114 + 101/4*c**3 + 39/20*c**5. Determine i, given that f(i) = 0.
-3, -1, -2/13
Let m(u) be the third derivative of u**6/160 - 9*u**5/80 - 21*u**4/32 - 11*u**3/8 - 2*u**2 + 7158*u. Factor m(k).
3*(k - 11)*(k + 1)**2/4
Let l(n) be the first derivative of -n**5/50 + 2*n**4/5 - 12*n**3/5 + 101*n + 145. Let j(h) be the first derivative of l(h). Find d, given that j(d) = 0.
0, 6
Let t(a) be the first derivative of -54 - 6/7*a**2 + 2/21*a**3 + 18/7*a. Find v such that t(v) = 0.
3
Let a = 40