 of q**9/12096 - q**7/1008 - 149*q**5/60 - q**2 + 79*q. Let v(h) be the third derivative of d(h). Factor v(f).
5*f*(f - 1)*(f + 1)
Let o be 15870/(-276) + (70 - 5). Determine w, given that -27/4*w - 3/4*w**2 + o = 0.
-10, 1
Let h(a) be the second derivative of -3/4*a**5 - 5*a**3 - 2 - 5*a**2 - 1/12*a**6 - 65/24*a**4 + 109*a. Let h(u) = 0. What is u?
-2, -1
Determine l so that 4*l**2 - 1962*l - 320787 + 5*l**2 - 3*l**2 - 6*l**2 - 3*l**2 = 0.
-327
Let c(r) be the first derivative of -r**5/5 - 9*r**4/4 + 85*r**3/3 - 75*r**2/2 - 7252. Solve c(i) = 0 for i.
-15, 0, 1, 5
Let m(b) be the second derivative of -49*b**6/135 - 203*b**5/9 - 6299*b**4/18 + 44080*b**3/27 - 23104*b**2/9 - 249*b. Factor m(k).
-2*(k - 1)**2*(7*k + 152)**2/9
Let s = 40 + 40. Factor -g**2 - 3*g**2 - 23 + s*g - 53.
-4*(g - 19)*(g - 1)
Let s(d) = -d**3 - 82*d**2 - 502*d - 41161. Let k be s(-82). Solve 0 + 0*x - 2/3*x**4 + 2/3*x**k + 4/3*x**2 = 0.
-1, 0, 2
Let u(d) be the third derivative of -d**7/21 + 17*d**6/10 - 97*d**5/30 + 2*d**2 + 481*d. Factor u(z).
-2*z**2*(z - 1)*(5*z - 97)
Let k(o) be the third derivative of o**7/42 + 25*o**6/24 + 19*o**5/12 - 195*o**4/8 + 60*o**3 + 153*o**2 + o. Factor k(w).
5*(w - 1)**2*(w + 3)*(w + 24)
Let g(y) be the third derivative of y**5/270 + 451*y**4/108 - 454*y**3/9 - y**2 + 978. Solve g(x) = 0.
-454, 3
Let v(n) be the second derivative of 20*n**2 - 1/3*n**3 - 7/12*n**4 - 1/20*n**5 - 64 - n. Solve v(c) = 0.
-5, -4, 2
Suppose -4*n + 33 = v, -3*n + 5*n - 29 = -3*v. Factor 5*b**4 - n*b**3 + 21*b + 4*b**2 - b**5 + b**3 - 22*b - b**4.
-b*(b - 1)**4
Let v = -31894 - -19014. Let d be 2100/v - (-2)/8. Solve 0 - 2/23*u - d*u**2 = 0.
-1, 0
Let b = -3 + 6. Suppose -b*p = 2*p - 20. Factor 2*c - 67*c**3 + 5*c**2 + 15*c**p + 38*c**3 + 7*c**3.
c*(c - 1)*(3*c - 2)*(5*c + 1)
Solve -77*v**2 + 1 + 25*v**3 + 10345*v - 63*v**2 - 1 - 10505*v + 5*v**4 = 0 for v.
-8, -1, 0, 4
Factor -105/2*k + 110 - 5/4*k**2.
-5*(k - 2)*(k + 44)/4
Let l(y) be the third derivative of y**5/30 + 793*y**4/24 + 66*y**3 - 10*y**2 - 30*y + 7. Factor l(o).
(o + 396)*(2*o + 1)
Let m(j) be the first derivative of 4/3*j + 9 + 2/3*j**2 + 1/9*j**3. Let m(n) = 0. What is n?
-2
Let u(k) = -k**4 - 16*k**3 + 42*k**2 + 16*k - 45. Let r(g) = g**4 - g**3 + g**2 + g. Let a(q) = -2*r(q) - u(q). What is t in a(t) = 0?
-1, 1, 3, 15
Let v(n) be the first derivative of -n**4/20 - 443*n**3/15 + 889*n**2/10 - 89*n - 2353. Suppose v(d) = 0. Calculate d.
-445, 1
Let f = -89357/8 - -11170. Find u, given that f*u**2 + 3/4*u + 3/8 = 0.
-1
Let d(t) = -5*t + 17. Let i(y) = 11*y - 34. Let c(n) = 9*d(n) + 4*i(n). Let z be c(9). Factor 0*v**2 + 6*v**2 - 12 - 3*v**2 + z*v + v**2.
4*(v - 1)*(v + 3)
Let f(u) = -6*u**3 + 30*u**2 - 3*u - 3. Let b = -345 + 342. Let y(h) = h**3 + h + 1. Let a(m) = b*y(m) - f(m). Factor a(t).
3*t**2*(t - 10)
Suppose 70 = 375*v - 361*v. Let w(c) be the first derivative of 2/3*c**3 - 20 - 2/5*c**v + 0*c + 1/2*c**4 - c**2. What is a in w(a) = 0?
-1, 0, 1
Let i = -1415608/7 + 202230. Let 2/7*z**2 + 0 - 2/7*z**4 + 2/7*z**3 - i*z = 0. What is z?
-1, 0, 1
Factor -2/9*a**4 + 40/9*a + 0 - 10/9*a**3 + 8/9*a**2.
-2*a*(a - 2)*(a + 2)*(a + 5)/9
Let o(q) be the third derivative of -q**7/1470 - q**6/140 - 13*q**5/420 - q**4/14 - 2*q**3/21 + 10688*q**2. Factor o(c).
-(c + 1)**2*(c + 2)**2/7
Let n(w) be the third derivative of w**8/840 - 124*w**7/525 - 64*w**6/25 - 31*w**5/3 - 1297*w**4/60 - 26*w**3 + 3217*w**2. Let n(z) = 0. What is z?
-3, -1, 130
Let f = -2511 - -2511. Let j(p) be the third derivative of 0 - 1/3*p**3 + 24*p**2 + f*p**4 + 1/30*p**5 + 0*p. Let j(z) = 0. What is z?
-1, 1
Let p(l) = -l**3 - 7*l**2 - 2*l - 68. Let w be p(-8). Suppose 0 = 22*o - w*o. Factor -2/11*v**2 + o*v + 2/11.
-2*(v - 1)*(v + 1)/11
Let s(l) be the second derivative of -8*l**2 + 2/21*l**7 + 2/15*l**6 - 2 + 7*l + 16/3*l**3 - l**5 - 1/3*l**4. Factor s(j).
4*(j - 1)**3*(j + 2)**2
Determine z, given that -166/5*z**2 - 2/5*z**3 - 318/5*z + 486/5 = 0.
-81, -3, 1
Suppose -57*g**2 - 226*g**2 - 4*g**5 - 235*g**2 + 104*g**4 - 748*g**3 + 7808*g + 6656 + 814*g**2 = 0. What is g?
-2, -1, 8, 13
Let d = -23087 - -23147. Let z(s) be the first derivative of d*s**3 + 30 - 27/8*s**4 + 72*s - 111*s**2. Factor z(g).
-3*(g - 12)*(3*g - 2)**2/2
Let b = 2077/9387 + 1/1043. Let d be 0 - (-2)/8 - 126/(-648). Solve -b*v**2 + d - 2/9*v = 0.
-2, 1
Let f(y) be the third derivative of -18*y**2 - 1/6*y**4 - 1/120*y**6 + 0 + 0*y**3 + 1/15*y**5 + 2*y. Let f(h) = 0. What is h?
0, 2
Factor -18225/11 - 270/11*m - 1/11*m**2.
-(m + 135)**2/11
Suppose 4*p = -y - 45, 5*p - 2*y - y + 35 = 0. Let v = p - -53/5. Find x, given that 11/5*x**2 + 8/5*x - 4/5 + v*x**3 = 0.
-2, 1/3
Let o(l) be the second derivative of -51*l**5/20 + 749*l**4/36 + 14*l**3/3 - 10*l**2/3 - 925*l. Find j, given that o(j) = 0.
-2/9, 2/17, 5
Let q(p) = -p**3 + 25*p**2 + 9*p + 446. Let m be q(26). Let j(f) be the first derivative of m*f + 2*f**2 - 4/3*f**3 - f**4 + 6. Factor j(d).
-4*(d - 1)*(d + 1)**2
Suppose -831/4*y**2 + 9/2*y**3 + 33*y + 69 = 0. Calculate y.
-1/2, 2/3, 46
Suppose -456/5*n - 392/15 + 14/15*n**2 = 0. Calculate n.
-2/7, 98
Suppose 62*w = 6440 - 6316. Factor 2592/11 - 144/11*t + 2/11*t**w.
2*(t - 36)**2/11
Let h(f) be the second derivative of f**4/42 - 152*f**3/7 - 457*f**2/7 - 199*f + 2. Let h(g) = 0. Calculate g.
-1, 457
Let y = -5 - -7. Suppose 3*c = -y*w - w + 3, 4*w = -3*c + 1. Factor -8*z**c + 4*z**4 + z + 3*z**3 - 3*z**2 + 4*z**5 + z**4 - 2*z**4.
z*(z - 1)*(z + 1)**2*(4*z - 1)
Let m(z) be the second derivative of 0 - 7/100*z**5 + 129*z + 1/15*z**6 + 0*z**3 + 0*z**2 + 1/60*z**4. Find h, given that m(h) = 0.
0, 1/5, 1/2
Let v(m) = m**3 + 11*m**2 + 12*m + 22. Suppose -5*a - 19 = 31. Let t be v(a). Find q such that q**3 - 6*q**3 + 2*q**3 + t*q + q**3 = 0.
-1, 0, 1
Let z be (17 - 784/48) + (-14)/(-6). Let i(u) be the first derivative of -1/12*u**z - 36 + 5/4*u - 1/2*u**2. Let i(c) = 0. What is c?
-5, 1
Let m(f) be the second derivative of -f**7/49 + 3*f**6/14 - 12*f**5/35 - 85*f**4/28 + 12*f**3 - 120*f**2/7 - 5394*f. Find t such that m(t) = 0.
-5/2, 1, 4
Let l be 74/(-189) - 12/42*(-165)/110. Let h(r) be the second derivative of 0*r**2 + 0*r**3 + l*r**4 - 1/180*r**5 + 0 - 15*r. Find f, given that h(f) = 0.
0, 4
Let q(c) be the first derivative of c**4/7 - 514*c**3/21 - 129*c**2/7 + 3570. Solve q(h) = 0 for h.
-1/2, 0, 129
Suppose 3*v + 2*j + 6 = 17, 16 = 4*v + 4*j. Suppose 4*c - 2*k = 14, -2*c + 0*k = v*k - 3. Factor 1/3*t**4 + 22/3*t**2 + 3 - 8/3*t**c - 8*t.
(t - 3)**2*(t - 1)**2/3
Let q(n) be the first derivative of -61 - 26/57*n**3 - 7/19*n**2 + 12/19*n. Factor q(v).
-2*(v + 1)*(13*v - 6)/19
Let a(f) be the second derivative of f**5/120 - 47*f**4/48 - 4*f**3 + 83*f**2 - 3*f + 45. Let b(i) be the first derivative of a(i). Factor b(m).
(m - 48)*(m + 1)/2
Let o be ((-20)/3)/(35/(-105)). Factor 2*q**2 - o*q - 4 - 4*q**2 - 14.
-2*(q + 1)*(q + 9)
Let g(k) be the first derivative of 2*k**5/5 + 6*k**4 - 28*k**3/3 - 12*k**2 + 26*k - 1964. Factor g(l).
2*(l - 1)**2*(l + 1)*(l + 13)
Let s(x) = -64*x**2 - 88*x - 240. Let c(i) = 5*i**2 - 54*i + 27 - 26 + 54*i. Let j(y) = -12*c(y) - s(y). Solve j(t) = 0 for t.
-19, -3
Let z be (-29)/(-35) - (-4)/(-10). Let l be -22*(-6)/(-84) + 2. Let z*t**2 - 18/7 - l*t = 0. Calculate t.
-2, 3
Let v(u) be the first derivative of 75 - 26*u**5 - 19845*u**2 - 7980*u**3 - 1/3*u**6 - 725*u**4 - 18522*u. Find y such that v(y) = 0.
-21, -1
Let l = 545252/5 + -109042. Find n such that -8/5*n**5 + l*n**4 - 58/5*n**3 + 72/5*n - 4*n**2 - 16/5 = 0.
-1, 1/4, 2
Let z = 721/6165 - 4/685. Let i = 17 - 15. Solve -2/9*x**i - 1/9*x - z*x**3 + 0 = 0.
-1, 0
Let z be 13896/(-12352) + (-6)/(-4). Factor 1/4*u + 1/8*u**2 - z.
(u - 1)*(u + 3)/8
Let h(f) be the first derivative of f**6/900 - 29*f**5/300 + 52*f**3 + 63. Let a(g) be the third derivative of h(g). Factor a(x).
2*x*(x - 29)/5
Let c be (13 - 8)*(-1400)/(-1250). Solve -c*s - 2*s**2 - 24/5 - 1/5*s**3 = 0.
-6, -2
Let w(s) be the third derivative of 43*s**2 + 0*s - 1/30*s**5 + 0 + 8/3*s**3 + 1/6*s**4. Factor w(j).
-2*(j - 4)*(j + 2)
Suppose w + 6*n - 5*n = 59, -5*n - 153 = -2*w. Find u, given that -39*u - 63*u - 12*u + 42*u - w*u + 132 + 4*u**2 = 0.
1, 33
Let s(d) = -19*d**2 + 9*d**2 - 3 - d**3 + 3*d + 5*d**2 + d**2. Let h(n)