 - -6)). Let o be 4/(-20) + f/5. Factor -b**2 - 4*b**2 - b + o*b**2 - 2*b**2.
b*(b - 1)
Let t(u) be the third derivative of -u**5/15 - 109*u**4 + 1310*u**3/3 + 74*u**2 + 14*u. Suppose t(r) = 0. Calculate r.
-655, 1
Let m be (-6)/3 - 1798/(-837). Let p(c) be the first derivative of 0*c - m*c**3 - 1/9*c**2 + 1/6*c**4 + 16. Factor p(g).
2*g*(g - 1)*(3*g + 1)/9
Let a(d) be the second derivative of d**4/4 + 1685*d**3/2 - 2578*d. Find b such that a(b) = 0.
-1685, 0
Let m(n) be the second derivative of n**6/24 + 7*n**5/4 + 425*n**4/24 - 35*n**3/6 - 855*n**2/8 - 707*n. Find j such that m(j) = 0.
-19, -9, -1, 1
Suppose -2*a + 5*x - 4 = 5, -15 = -5*x. Let y(b) = 8*b**2 - 14*b - 7. Let z(n) = -9*n**2 + 11*n + 6. Let l(s) = a*z(s) + 4*y(s). Factor l(f).
(f - 5)*(5*f + 2)
Let a be (-1)/(-8) - 787035/(-325160). Let b = 1 - -1. Solve 6/11*f**b + a*f + 16/11 = 0 for f.
-4, -2/3
Let u(m) be the third derivative of 0 + 864*m**3 + 31*m**2 + 0*m + 1/15*m**5 - 12*m**4. Factor u(c).
4*(c - 36)**2
Let m(a) = 7*a**2 - 629*a - 30. Let g(o) = -13*o**2 + 1261*o + 55. Let t(d) = 6*g(d) + 11*m(d). Find u such that t(u) = 0.
0, 647
Let v(b) be the third derivative of 1/280*b**6 - b**2 + 1/490*b**7 + 0 + 1/2352*b**8 + 0*b**3 + 1/420*b**5 + 0*b**4 + 89*b. Let v(w) = 0. What is w?
-1, 0
Let b be (-26 + 23)/(-7 + 15 + -9)*6/9. Find h, given that 56/11*h**b + 0 + 18/11*h**4 + 60/11*h**3 + 16/11*h = 0.
-2, -2/3, 0
Suppose 94*o - 88*o = 3234. Let b = o - 512. Determine v, given that 3/4 + b*v**2 + 9*v = 0.
-1/6
Let v be 8/18 + (-11 - 6172/36). Let r be -1 + 1 + (140/v)/(-5). Let 8/13*l**3 + 0 + 4/13*l**4 - r*l**5 - 4/13*l**2 - 6/13*l = 0. What is l?
-1, 0, 1, 3
Let m = 1641 - 1635. Let v be (m/33)/(9/99). Suppose -6/7*i**v + 4/7 + 3/7*i - 5/7*i**3 = 0. What is i?
-1, 4/5
Suppose -63245*q + 63247*q = -h - 16, -4*q = h + 34. Factor -1/7*v**h - 4/7 - 4/7*v.
-(v + 2)**2/7
Suppose -7*b + 2*b + 5 = 0, 5*q - b = 19. Let x be -8 + (2 - (8 + -54)). Let 0 - 35/2*v**5 - 55/2*v**3 + 0*v + x*v**q + 5*v**2 = 0. Calculate v.
0, 2/7, 1
Factor 113/3 + 1/6*l**2 + 115/6*l.
(l + 2)*(l + 113)/6
Let c be 422/12 - (-15)/(-90). Let w = 37 - c. What is k in w + 6*k**3 + 7*k + k**4 + 9*k**2 + 5*k**4 - 5*k**4 - k**3 = 0?
-2, -1
Let d(u) = 4*u**2 + 2*u - 752. Let v be d(-14). Find o such that -2/5*o**v + 18/5*o**2 + 0 + 2/5*o**3 - 18/5*o = 0.
-3, 0, 1, 3
Factor 48*p**3 - 155*p**3 + 90*p**2 - 40*p + 41*p**3 + 0*p**5 + 11*p**3 + 5*p**5.
5*p*(p - 2)*(p - 1)**2*(p + 4)
Suppose -3*s + 4*f + 17 = 0, -f - 4*f = 4*s + 29. Let m be (-11)/s*1 - 11. Factor -v + m + 9/2*v**2.
v*(9*v - 2)/2
Let v(m) be the third derivative of -106/75*m**5 - 13 - 1/42*m**7 + 2*m**2 + 0*m**3 - 109/120*m**6 - 7/10*m**4 + 0*m. Factor v(g).
-g*(g + 21)*(5*g + 2)**2/5
Let j be 9/(-15)*4/180*-2. Let l(z) be the second derivative of -15*z - j*z**5 + 0 + 0*z**3 + 2/45*z**4 + 1/225*z**6 + 0*z**2. Factor l(b).
2*b**2*(b - 2)**2/15
Let c(u) = -28*u**2 + 1663*u - 1645. Let a(d) = -45*d**2 + 2494*d - 2465. Let s(b) = 5*a(b) - 8*c(b). Let s(o) = 0. Calculate o.
-835, 1
Let w(k) be the second derivative of 38958219*k**5/4 + 574605*k**4/2 + 3390*k**3 + 20*k**2 - 12*k - 79. Factor w(y).
5*(339*y + 2)**3
Solve -5456*k - 2*k**2 + 12564*k - 12271058 - 7806*k - 9210*k = 0 for k.
-2477
Let g(y) be the third derivative of -169 + 13/100*y**6 + 0*y**3 - 7/5*y**5 - 1/350*y**7 - 49/5*y**4 + 0*y + 2*y**2. Factor g(d).
-3*d*(d - 14)**2*(d + 2)/5
Determine x, given that -5470580 - 2889030*x + 2617*x**3 - 1388585*x**2 - 2602470*x - 4035*x**3 - 5*x**4 - 3832*x**3 = 0.
-523, -2
Let g(x) be the third derivative of -x**5/120 + x**4/8 + 7*x**3/12 - x**2 + 738*x. What is q in g(q) = 0?
-1, 7
Factor 110/3 + 1/3*x**2 + 37*x.
(x + 1)*(x + 110)/3
Let g = 2471 - 2468. Let b = -3 - -5. Determine k, given that 0*k**4 + 36*k**3 - 6*k**4 - 20 - 65*k**b - 60*k + k**4 - 66*k**g = 0.
-2, -1
Let n(w) be the third derivative of -w**7/70 - 7*w**6/20 - 13*w**5/5 - 33*w**4/4 - 27*w**3/2 - 131*w**2 + 1. Factor n(t).
-3*(t + 1)**2*(t + 3)*(t + 9)
Let a = -29159/30 + 972. Let b(v) be the third derivative of 0 + a*v**5 + v**3 + 24*v**2 + 0*v + 1/3*v**4. Find u, given that b(u) = 0.
-3, -1
Factor 0 - 2/3*s**4 + 274/3*s**2 - 46*s - 134/3*s**3.
-2*s*(s - 1)**2*(s + 69)/3
Determine o, given that 1183 - 4840 + 23*o**2 - 28*o**2 - 355*o - 1863 = 0.
-48, -23
Let g be (49432/(-2338))/((-8)/2) + -5. Factor -2/7*f**3 + 0 + g*f**2 + 4/7*f.
-2*f*(f - 2)*(f + 1)/7
Let u(z) = 6*z**2 + 4*z - 8. Let p be u(1). Determine x so that 2/3*x**p - 14/3*x - 16/3 = 0.
-1, 8
Let l(d) = 5*d**4 - 22*d**3 - 25*d**2 + 42*d - 6. Let j(o) = 2*o**3 - 2*o + 1. Let z(g) = -6*j(g) - l(g). Let z(y) = 0. What is y?
-2, 0, 1, 3
Let m(o) = 5*o**3 - 3*o**2 + 35*o + 35. Let s(y) be the first derivative of y**4/2 - y**3/3 + 6*y**2 + 12*y - 40. Let p(k) = 3*m(k) - 8*s(k). Factor p(n).
-(n - 3)*(n + 1)*(n + 3)
Let f(s) be the third derivative of -23/18*s**4 + 0*s + 0 + 17*s**2 - 1/45*s**5 + 0*s**3. Factor f(y).
-4*y*(y + 23)/3
Let a(f) be the first derivative of 52 + 0*f + 2/45*f**5 + 0*f**2 + 0*f**3 - 1/9*f**4. Factor a(i).
2*i**3*(i - 2)/9
Let b be ((-76)/(-12))/(102/(-108)). Let w = -553/85 - b. Factor -3/5*z - w*z**2 + 0.
-z*(z + 3)/5
Let g(p) be the first derivative of 80/3*p**3 - 175/2*p**2 + 30*p - 120. What is n in g(n) = 0?
3/16, 2
Let g(q) be the third derivative of q**7/105 - 11*q**6/40 + 107*q**5/60 + 37*q**4/4 + 40*q**3/3 - 25*q**2 - 63*q. Suppose g(l) = 0. What is l?
-1, -1/2, 8, 10
Let w(k) be the second derivative of k**7/630 + 2*k**6/45 - 3*k**5/10 + 11*k**4/2 - 64*k. Let y(r) be the third derivative of w(r). What is u in y(u) = 0?
-9, 1
Let p = -22023/59 + 66128/177. Factor 35/3*c + 6 - p*c**3 + 16/3*c**2.
-(c - 18)*(c + 1)**2/3
Let o = -98003 - -392013/4. What is q in 0 + o*q**2 - 1/2*q = 0?
0, 2
Solve 29*j**2 - 59*j**2 + 25*j**2 - 574 + 15*j - 86 - 355*j = 0.
-66, -2
Suppose -2*h + 32 = -13*q + 12*q, -5*q - 85 = -5*h. Suppose 9169 + h*x + 4*x**2 - x**2 - 9187 = 0. Calculate x.
-6, 1
Factor 338/7*o + 340/7 - 2/7*o**2.
-2*(o - 170)*(o + 1)/7
Let d(r) be the third derivative of -r**5/420 + 5*r**4/56 + 8*r**3/21 + 796*r**2. Solve d(q) = 0.
-1, 16
Suppose -48/7*k**2 + 4/7*k**4 + 256/7 + 128/7*k - 16/7*k**3 = 0. What is k?
-2, 4
Let u(a) be the second derivative of 26 - 5/42*a**4 + 3*a + 2/7*a**2 - 3/7*a**3. Factor u(g).
-2*(g + 2)*(5*g - 1)/7
Let j = 1049837/4 + -262459. Factor 196 - 55/4*r**2 - 182*r - j*r**3.
-(r - 1)*(r + 28)**2/4
Let q(c) be the third derivative of c**7/42 - 25*c**6/24 + 221*c**5/12 - 3955*c**4/24 + 735*c**3 + 1678*c**2. Let q(v) = 0. Calculate v.
2, 7, 9
Suppose 68*b - 9*b = 0. Let v(t) be the third derivative of -1/84*t**8 + 0*t**5 + 0*t**3 - 35*t**2 + 2/35*t**7 + b*t**4 + 0*t + 0 - 1/15*t**6. Solve v(z) = 0.
0, 1, 2
Let k(p) = p**2 + 2*p - 11. Let i(z) = 3*z**2 + 625*z + 1194. Let h(f) = -i(f) + 4*k(f). Solve h(a) = 0.
-2, 619
Let k(w) be the third derivative of 14 + 1/10*w**5 - 1/30*w**6 - 1/105*w**7 - 4*w**2 - 4/3*w**3 + 1/3*w**4 + 0*w. Factor k(i).
-2*(i - 1)**2*(i + 2)**2
Let d = 907/5502 + 5/2751. Let x(v) be the first derivative of -3/2*v**2 - 7/2*v + d*v**3 + 8. Factor x(w).
(w - 7)*(w + 1)/2
Factor 11/3 + 1/9*l**2 + 34/9*l.
(l + 1)*(l + 33)/9
Let v(o) be the third derivative of -o**5/240 - 7*o**4/32 - 19*o**3/12 + 2721*o**2. Factor v(p).
-(p + 2)*(p + 19)/4
Let m be (19 - -3) + (28 - 48). Let h be 3 + -2 + (-1)/3. Factor -2/3 + h*z - 1/6*z**m.
-(z - 2)**2/6
Let k(r) be the third derivative of -r**7/2310 + 7*r**6/330 - 13*r**5/110 - 493*r**4/66 + 2023*r**3/66 - 375*r**2 - 6*r. Solve k(d) = 0 for d.
-7, 1, 17
Let f(w) = 53*w + 571. Let t be f(-11). Let h be (1876/1005)/((-1)/t). Factor -20*r**4 - 56*r**3 - 276/5*r**2 - h*r - 16/5.
-4*(r + 1)**2*(5*r + 2)**2/5
Let k(v) be the third derivative of v**5/12 + 10*v**4/3 + 105*v**3/2 + 723*v**2 - 2*v. Factor k(x).
5*(x + 7)*(x + 9)
Suppose a + 15 = 5*i, 0*i = 2*i - 3*a + 7. Let f(q) = 9*q - 61. Let y be f(7). Factor -1 + s**4 + 0 - 6*s**4 + 10*s**y - i.
-5*(s - 1)**2*(s + 1)**2
Let d(c) be the third derivative of -146689*c**6/240 + 49407*c**5/40 - 32*c**4 + c**3/3 + 732*c**2. Determine s, given that d(s) = 0.
2/383, 1
Let x(z) be the first derivative of 5*z**4/4 + 1930*z**3/3 - 3890*z**2 + 7800*z - 7467. Factor x(i).
5*(i - 2)**2*(i + 390)
Let f 