**5 = 0. Calculate h.
-3, 0, 1
Let f(k) be the third derivative of -k**5/20 - 1835*k**4/4 - 3367225*k**3/2 + 14*k**2 + k + 303. Factor f(m).
-3*(m + 1835)**2
Let z(t) = t**3 - 14*t**2 + 17*t - 50. Let i be z(13). Suppose 3*c = 4*d - 4 + 2, -6 = -i*c - d. Factor 4/9 + 14/9*q + 16/9*q**c + 2/3*q**3.
2*(q + 1)**2*(3*q + 2)/9
Let v(i) be the third derivative of -i**6/72 + i**5/8 + 15*i**4/4 - 41*i**3/3 - 3*i**2 + i. Let p(b) be the first derivative of v(b). Factor p(j).
-5*(j - 6)*(j + 3)
Let c(k) be the third derivative of -k**5/120 + 595*k**4/48 - 8871*k**2. Determine q, given that c(q) = 0.
0, 595
Find b, given that 986/9*b + 44 - 10/9*b**2 = 0.
-2/5, 99
Let p(r) = r**3 - r**2 - r - 2. Let w(v) = -135*v**3 - 137*v**2 - 3*v + 2. Let t(g) = -p(g) - w(g). Solve t(x) = 0 for x.
-1, -2/67, 0
Suppose 14*z - 41 - 15 = 0. Factor -8*q - z + 8 + 5 - q**2.
-(q - 1)*(q + 9)
Determine h so that -138/7*h**4 - 962/7*h**3 + 20/7 - 1490/7*h**2 - 646/7*h = 0.
-5, -1, 2/69
Factor -2/7*s**4 - 554/7*s**2 - 1560/7*s - 1352/7 - 60/7*s**3.
-2*(s + 2)**2*(s + 13)**2/7
Let a(c) be the second derivative of -10*c**2 - 155/24*c**3 + 1/16*c**5 - 51*c + 0 - 35/24*c**4. Factor a(p).
5*(p - 16)*(p + 1)**2/4
Let t(c) be the first derivative of -2*c**3/9 + 145*c**2/3 - 284*c + 4296. Let t(i) = 0. What is i?
3, 142
Determine z so that -532/9*z + 130/9*z**4 - 1/9*z**5 - 536/9 + 533/9*z**3 + 406/9*z**2 = 0.
-2, -1, 1, 134
Let t = 371860 - 371857. Determine h, given that -3/5*h**2 + t*h + 0 = 0.
0, 5
Factor -1/3*u**2 - 44 - 37/3*u.
-(u + 4)*(u + 33)/3
Let b be 0*(858/68 + -12 + 6/(-51)) + 5. Let 10/3*k**4 + 0*k - 4/3*k**2 + 0 - 8/3*k**b + 14/3*k**3 = 0. What is k?
-1, 0, 1/4, 2
Let t(f) = -145*f**4 + 545*f**3 - 1300*f**2 - 40. Let b = -34 + 37. Let r(d) = 11*d**4 - 42*d**3 + 100*d**2 + 3. Let q(g) = b*t(g) + 40*r(g). Factor q(s).
5*s**2*(s - 5)*(s - 4)
Suppose 160801 + 639*j + 175*j - 394*j**2 - 394*j**2 + 789*j**2 - 12*j = 0. Calculate j.
-401
Let a be 4410/(-245) - (2 + -26 + 4). Factor -12/5*d**a - 147/5 + 84/5*d.
-3*(2*d - 7)**2/5
Let o = 7/10767 + 355276/53835. Find y such that -21/5*y**2 + 3/5*y**3 - 3 + o*y = 0.
1, 5
Let o(u) be the third derivative of -1/140*u**5 + 0*u**4 + 2/7*u**3 - u**2 + 25 + 0*u. Determine a, given that o(a) = 0.
-2, 2
Let y = 526103/2 - 3577265/14. Let 33*i**3 + 5850/7*i**2 - y + 3/7*i**4 + 46644/7*i = 0. What is i?
-26, 1
Suppose 5*v - 1625 = -2*s, 9 = -v + 4. Let c = s + -5757/7. Let 12/7*p**3 + 24/7 - 48/7*p + c*p**2 - 6/7*p**4 = 0. Calculate p.
-2, 1, 2
Let j be (-29)/(-87) + (-22)/(-6). Factor -1 - 646*p**j + 667*p**4 - 3*p**5 + 39*p**2 - 45*p**3 - 12*p + 1.
-3*p*(p - 4)*(p - 1)**3
Let y be (0 + -11 + 11)/(1 + -6). Let b(h) be the third derivative of -1/27*h**4 + 1/270*h**5 + y*h - 5*h**2 + 0 + 4/27*h**3. Factor b(n).
2*(n - 2)**2/9
Let t(w) be the first derivative of -28 + 3/2*w**3 + 0*w - 9/10*w**5 - 15/8*w**2 + 1/8*w**6 + 3/4*w**4. Suppose t(z) = 0. Calculate z.
-1, 0, 1, 5
Let z be -3 + 5068/660 - (-1110)/(-8325). Factor 140/11*p + 56/11*p**3 + z + 8/11*p**4 + 138/11*p**2.
2*(p + 1)**2*(2*p + 5)**2/11
Let a(o) be the first derivative of -7*o**3 + 255*o**2/2 - 36*o + 959. Let a(k) = 0. What is k?
1/7, 12
Let b = -34 + 28. Let k = b + 11. Determine h so that 40*h**2 + 40*h**2 - 15*h**3 + 16*h + 147*h**3 + 88*h**4 + 20*h**k = 0.
-2, -1, -2/5, 0
Factor 443682 - 942*i + 1/2*i**2.
(i - 942)**2/2
Factor 0 + 66*v**2 - 3/2*v**3 + 138*v.
-3*v*(v - 46)*(v + 2)/2
Suppose 50*y - 52 = 85 + 13. Let k(h) be the third derivative of -1/3*h**y + 17*h**2 + 1/180*h**5 + 5/72*h**4 + 0 + 0*h. Suppose k(s) = 0. What is s?
-6, 1
Let q(d) be the first derivative of -5*d**6/21 - 146*d**5/35 + 115*d**4/14 + 82*d**3/21 - 110*d**2/7 + 64*d/7 - 2692. Let q(f) = 0. What is f?
-16, -1, 2/5, 1
Suppose 0 = 11*u + 2*u - 26. Solve 16*g - 4*g**4 - 16*g**3 + 12 + 0*g**4 + 9*g**2 - 6*g**2 - 11*g**u = 0.
-3, -1, 1
Let y = -356 + 358. Let v be (5/y)/(2/((-24)/(-15))). Factor 11/2*b**3 - v*b - 9/2*b**5 + 2*b**2 + 0 - 3*b**4.
-b*(b + 1)**2*(3*b - 2)**2/2
Let b(i) = -i**3 - 6*i**2 - 11*i - 16. Let r be b(-6). Let z = r - 48. Solve 10*v - 5*v**z + 1 - v**3 - 1 - 4*v**3 = 0 for v.
-2, 0, 1
Let g = -2045 - -2048. Let q(u) be the first derivative of 1/2*u**g + 9/16*u**4 + 8 + 0*u**2 + 0*u. Factor q(x).
3*x**2*(3*x + 2)/4
Let c(z) be the second derivative of z**5/48 - 5*z**4/96 - 5*z**3/4 + 63*z**2/2 + 64*z. Let o(h) be the first derivative of c(h). Factor o(g).
5*(g - 3)*(g + 2)/4
Let l = 3/838 - -4181/2514. Let y(t) be the first derivative of 5/6*t**4 - l*t**2 + 4/3*t + 14/15*t**5 - 2*t**3 + 1. Let y(v) = 0. Calculate v.
-1, 2/7, 1
Suppose -39646 + 39760 = 57*n. Let f(u) = -u + 3. Let w be f(0). Determine x, given that 9/2*x**n - 3/2*x**4 + 3/2*x**w + 3 - 15/2*x = 0.
-2, 1
Let w(a) be the third derivative of -a**6/180 + 59*a**5/45 - 899*a**4/9 + 6728*a**3/9 - 2122*a**2. What is g in w(g) = 0?
2, 58
Solve 80*o**2 + 161/2*o**3 + 1/4*o**4 - 321/4 - 161/2*o = 0.
-321, -1, 1
Let d(l) be the third derivative of -3*l**2 + 1/240*l**5 + 0 - 1/480*l**6 - 1/24*l**3 - 27*l + 1/96*l**4. Let d(z) = 0. Calculate z.
-1, 1
Let c(b) be the third derivative of b**5/60 + 7*b**4/3 + 18*b**3 + 786*b**2 - 2. Factor c(a).
(a + 2)*(a + 54)
Let t(w) = -4*w**3 + 26*w**2 + 7*w + 13. Let z(c) = -3*c**3 + 16*c**2 + 7*c + 12. Let p(g) = 2*t(g) - 3*z(g). Factor p(u).
(u - 2)*(u + 1)*(u + 5)
Let h(t) be the second derivative of t**4/18 + 235*t**3/36 - 59*t**2/12 - 1758*t. Determine q so that h(q) = 0.
-59, 1/4
Let s(q) = -39*q + 196. Let i be s(5). Suppose 0 = 3*a + z - 3 - 1, 2*z = -3*a - i. Determine t so that 1/3*t**a - 11/3*t - 4/3*t**2 - 2 = 0.
-1, 6
Let n(u) be the third derivative of -2*u**7/105 + 2*u**6/5 + 23*u**5/5 - 40*u**4/3 + 35*u**2 - 20*u + 1. Determine j so that n(j) = 0.
-5, 0, 1, 16
Let r be 18*-2*(25/(-30) - 1). Suppose -77*b + 22 = -r*b. Let -2/5*p**b - 72/5 + 24/5*p = 0. Calculate p.
6
Let h be 4309/(-93) + 25 - (7 - 29). Factor 2/3*d**2 - 4 - h*d.
2*(d - 3)*(d + 2)/3
Let b(u) be the first derivative of -u**5/20 + 17*u**4/8 - 8*u**3 - u**2 + 19*u - 116. Let m(g) be the second derivative of b(g). Solve m(a) = 0.
1, 16
Let b(y) be the first derivative of 2*y**3/21 + 778*y**2/7 - 1558*y/7 + 2633. Find t, given that b(t) = 0.
-779, 1
Let d(n) = n**2 + 5*n. Let m(f) = 14*f**2 + 27*f. Let p(g) = 6*g**2 + 13*g. Let v(t) = -2*m(t) + 5*p(t). Let c(b) = 5*d(b) - 3*v(b). Let c(a) = 0. What is a?
-8, 0
Suppose -4/7*u**3 + 104*u**2 - 1464/7 + 740/7*u = 0. What is u?
-2, 1, 183
Factor -19440 + 4/5*d**3 + 6048*d + 708/5*d**2.
4*(d - 3)*(d + 90)**2/5
Let r(k) be the third derivative of -k**8/1680 - k**7/150 - k**6/120 + 43*k**5/300 + 7*k**4/20 - 12*k**3/5 - 4340*k**2. Find y, given that r(y) = 0.
-4, -3, 1, 2
Let s(n) be the second derivative of n**6/1800 - n**5/600 - n**3/3 + 10*n**2 + 2*n. Let d(q) be the second derivative of s(q). Factor d(r).
r*(r - 1)/5
Let 17848 - 8890 + 21089*d**2 - 20979*d**2 + 3577*d + d**3 + 19854 = 0. What is d?
-49, -12
Let y be ((-51)/(-9) + -5)*5604/8. Let l = y + -467. Determine q so that 0*q + l + 0*q**3 - 2/5*q**4 + 0*q**2 - 2/5*q**5 = 0.
-1, 0
Let a = -435/26 - -5045/286. Suppose b + 4*b - 5 = 4*s, 2*b = s + 2. Find y such that -a*y**3 - 6/11*y**2 + s + 18/11*y - 2/11*y**4 = 0.
-3, 0, 1
Let q be 6 - 4 - (-38802)/30. Let n = q - 1293. Factor 4/5*g**2 + n*g + 0.
4*g*(g + 3)/5
Let j(o) be the first derivative of -1/3*o**3 + 106 - 1/5*o**5 + 0*o - 1/8*o**2 - 1/24*o**6 - 3/8*o**4. Solve j(h) = 0 for h.
-1, 0
Factor 7*p**3 - 26*p**3 + 400*p**2 + 281*p + 1520 + 71*p + 1188*p + 24*p**3.
5*(p + 2)**2*(p + 76)
Let b(w) = -w + 30. Let v be b(27). Factor -4*u**v + 2057*u - 985*u + 60*u**2 - 1008*u.
-4*u*(u - 16)*(u + 1)
Let h(p) = p**2 + 21*p + 18. Let m = 36 + -36. Suppose 0 = -m*j - 6*j - 12. Let w(a) = 21*a + 18. Let k(r) = j*w(r) + 3*h(r). Determine l, given that k(l) = 0.
-6, -1
Suppose -v - 21 = -2*j, 0 = -3*v + 5*j + 3007 - 3057. Factor 1/5*t**v + 0 + 28/5*t**3 - 24/5*t**2 - 2*t**4 + 0*t.
t**2*(t - 6)*(t - 2)**2/5
Let p be (-6)/27*3 + (-13546)/(-78). Let c = -171 + p. Solve -5/3*n**c + n + 3 + 1/3*n**3 = 0.
-1, 3
Let w(s) = s - 4. Let h be w(5). Let z be 114/30 - h/(-5). Let 3*b + 3 + 0*b + z*b**2 + 9*b + 5 = 0. Calculate b.
-2, -1
Let a be 1*-5 - (8 + 15702/(-1134)). Let i = 2/189 +