**4 + 9668*w**3/9 - 806*w**2/3 + 2419. Factor l(c).
-4*c*(c + 403)*(3*c - 1)**2/3
Let c(q) = 3*q**3 - 49*q**2 - 44*q. Let x = -78 + 74. Let w(d) = -3*d**3 + 48*d**2 + 45*d. Let u(p) = x*w(p) - 3*c(p). Factor u(f).
3*f*(f - 16)*(f + 1)
Suppose 13*u - 916 = 1359. Let b be 14/u + 226/300. Determine q, given that -9/2*q - 5/3 - b*q**2 = 0.
-5, -2/5
Suppose 36*g = 34*g + 116. Factor -60*b**2 - g*b**2 - 52*b**2 + 3*b**3 + 161*b**2.
3*b**2*(b - 3)
Suppose -r = -2*o + 7, 9 + 15 = 3*r + 3*o. Factor 76*x**2 + 3*x**4 - 91*x**2 + 9*x - 4*x**r + 4*x**3 + 3*x**3.
3*x*(x - 1)**2*(x + 3)
Let i(o) be the first derivative of 63*o**4/8 + 277*o**3/3 - 123*o**2/4 - 27*o + 3431. Factor i(u).
(u + 9)*(7*u - 3)*(9*u + 2)/2
Let c = 382 + -379. Let v(d) be the third derivative of 0*d**4 + 0*d + 0 - 9*d**2 + 1/50*d**5 + 0*d**c + 1/200*d**6. Solve v(k) = 0 for k.
-2, 0
Factor -1/3*g**4 + 14/3*g**2 + 0 + 7/3*g**3 - 16*g.
-g*(g - 8)*(g - 2)*(g + 3)/3
Let r(b) = 2*b**3 + 69*b**2 + 77*b - 722. Let h be r(-33). Suppose 5/3*m**2 - 16/3*m - h + m**3 = 0. What is m?
-3, -2/3, 2
Let i be (-543)/(-36) - 570/38. Let q(t) be the second derivative of i*t**4 + 1/2*t**3 + 0 + 0*t**2 - 2*t. Factor q(y).
y*(y + 3)
Let b = 225 - 212. Suppose -n = -4*u - 2, 8*u = -4*n + b*u + 8. What is v in 9/2*v**3 - 4 + 9*v**2 - n*v = 0?
-2, -2/3, 2/3
Let a(g) = -9*g**2 - 2*g - 2. Let w(l) = 55*l**2 - 142*l + 612. Let n(r) = 6*a(r) + w(r). What is m in n(m) = 0?
4, 150
Let i(o) be the first derivative of 3*o**4/8 - 68*o**3 - 825*o**2/4 - 207*o - 79. Factor i(y).
3*(y - 138)*(y + 1)**2/2
Find q, given that 36*q - 95812*q**4 - 23*q**3 + 9*q**3 + 95818*q**4 - 30*q**2 + 2*q**5 = 0.
-3, 0, 1, 2
Let y be (-10)/60*-3*5/375. Let l(n) be the third derivative of 1/525*n**7 - y*n**5 + 0 + 14*n**2 + 0*n + 0*n**3 - 1/300*n**6 + 1/60*n**4. Factor l(z).
2*z*(z - 1)**2*(z + 1)/5
Suppose 0 = 4*m - a - 151, -a = -0 - 5. What is l in -40 - 33*l**2 - m - 29 - 135*l = 0?
-3, -12/11
Let z(d) = -2*d**2 + 22*d - 26. Let q be z(8). Let -71 - 79 + q*u + 186 + 2*u**2 = 0. Calculate u.
-9, -2
Let t(w) = w**4 - w**3 + w**2 - 1. Let y = -14 + 18. Let o(q) = -10*q - 16*q - 19*q**2 + 19*q**3 - 4*q**y - 1 + 26*q. Let x(r) = o(r) - t(r). Factor x(s).
-5*s**2*(s - 2)**2
Let g(q) be the first derivative of -q**6/3 - 14*q**5/5 - 11*q**4/2 - 10*q**3/3 + 1017. What is u in g(u) = 0?
-5, -1, 0
Let u(k) be the third derivative of k**5/20 - 831*k**4/8 + 376*k**2. Solve u(m) = 0.
0, 831
Suppose -96 = -10*k - 14*k. Find q, given that -7 + 1 + 6*q**2 - 4*q + 0*q - k*q**2 = 0.
-1, 3
Let f be (-119 - -118)/(42/(-4)). Let q(c) be the first derivative of -72/7*c - 12/7*c**2 - 13 - f*c**3. Let q(o) = 0. What is o?
-6
Let y = 6671 - 6662. Let u(v) be the second derivative of -4/3*v**3 + 1/3*v**4 - y*v + 1/5*v**5 + 0 + 0*v**2. Find g, given that u(g) = 0.
-2, 0, 1
Let p(g) be the third derivative of g**6/240 - 41*g**5/360 + 13*g**4/72 - 16*g**2 - 24. Solve p(h) = 0 for h.
0, 2/3, 13
Let -4/5*w**3 - 2/5 + 4/5*w + 0*w**2 + 2/5*w**4 = 0. What is w?
-1, 1
Let j(q) be the first derivative of 3*q**4/4 - 145*q**3 + 16401*q**2/2 - 45369*q - 563. Let j(o) = 0. Calculate o.
3, 71
Suppose -52*d = -84*d - 224. Let h be -20*(7272/(-1035) - d). What is k in -2/23*k**2 + 14/23*k - h = 0?
1, 6
Let y = 5812 + -5796. Let p(n) be the third derivative of -1/1050*n**7 - 1/150*n**6 + 0*n**3 + 0*n + y*n**2 - 1/60*n**5 - 1/60*n**4 + 0. Factor p(q).
-q*(q + 1)**2*(q + 2)/5
Find m such that -432/5*m - 36/5*m**3 + 6/5*m**4 - 402/5*m**2 + 864/5 = 0.
-4, -3, 1, 12
Let j(w) be the third derivative of -17*w + 0*w**3 + 1/30*w**5 - 11/12*w**4 + 2*w**2 + 0. Factor j(g).
2*g*(g - 11)
Let h(s) be the third derivative of s**7/1155 + 49*s**6/660 + 104*s**5/55 + 48*s**4/11 + 2005*s**2. Factor h(w).
2*w*(w + 1)*(w + 24)**2/11
Suppose 0 = -8*d + 13*d - 10. Suppose 0 = -o + 4*q + 14, d*o - 4*q - q = 19. Factor -22*a**4 - 3*a**o + 4*a**2 + 2*a**3 + 10*a**4 - 2*a + 11*a**4.
-a*(a - 2)*(a - 1)*(a + 1)
Let j(k) be the second derivative of -3/2*k**2 + 2/3*k**3 - 1/15*k**6 - 2/3*k**4 + 0 - 8*k + 1/3*k**5. Let u(a) be the first derivative of j(a). Factor u(m).
-4*(m - 1)**2*(2*m - 1)
Suppose -16 = -3*z + 4*z - 5*s, -z = -4*s + 12. Suppose 5 - 21 = -z*l. Factor -120*r**2 + 2*r - 31*r - 36*r**5 - l - 184*r**3 - 132*r**4 - 7*r.
-4*(r + 1)**3*(3*r + 1)**2
Let n be ((80/35)/(-4))/(-1). Let y be ((-8 - -4)/(14 - 17))/(4/6). Factor -4/7*r**y + 0 - n*r.
-4*r*(r + 1)/7
Determine h so that 5682*h - 2307969 - 4*h**2 - 1214728 + h**2 + 832270 = 0.
947
Factor -481/3*k + 1/3*k**3 + 241/3 + 239/3*k**2.
(k - 1)**2*(k + 241)/3
Suppose -2*r - 3*l + 39 = 0, 0*r + 5*r - 70 = -2*l. Suppose r*h = 2*h + 140. Factor -85*i**3 - 39*i**4 - 105*i**2 + h*i**4 - 280 + 270 - 55*i.
-5*(i + 1)**3*(5*i + 2)
Let x(o) = 3*o**2 - 21*o - 5. Let s be x(9). Suppose 3*j = 55 - s. Determine y so that -3*y**2 + 4 + 44*y**4 - 24*y**4 - 2*y**j - 19*y**4 = 0.
-2, -1, 1, 2
Let b be -6*(0/(-4) + 657/(-6)). Let t = -319 + b. Find i such that 6 + 3*i - 21*i**3 - 173*i**4 - 171*i**4 - 18*i**2 + t*i**4 = 0.
-2, -1, 1/2
Let q(g) = -3*g**3 + 15*g**2 + 262*g + 74. Let l be q(-7). Let 2/3*f + 2/3*f**5 + 10/9 - 4/3*f**3 + 10/9*f**l - 20/9*f**2 = 0. What is f?
-5/3, -1, 1
Let y(d) = d**3 + 6*d**2 - 271*d - 1113. Let i be y(-4). Let -4*a**2 - 5/3*a + 2/3*a**4 + a**5 - 2/9 - 26/9*a**i = 0. Calculate a.
-1, -1/3, 2
Let b(l) be the first derivative of l**6/6 + 15*l**5/4 + 35*l**4/6 + 75*l + 90. Let q(d) be the first derivative of b(d). Factor q(z).
5*z**2*(z + 1)*(z + 14)
Suppose 3*u + 32 = 5*l, 20 = 2*l + 2*l - u. Determine h, given that -51 - 16*h**4 - 273*h**2 - 21*h**2 - 186*h**3 - 201*h - 23*h**l + 3*h**5 = 0.
-1, 17
Factor 1725 + 370*a + 89/4*a**2 + 1/4*a**3.
(a + 10)**2*(a + 69)/4
Suppose -26/11*o**4 - 136/11*o**2 - 24/11*o + 126/11*o**3 + 0 = 0. What is o?
-2/13, 0, 2, 3
Let z(f) = -2*f**2 - 12*f + 73. Let q be z(-9). Determine m so that q + 440*m**2 - 881*m**2 + 18*m + 440*m**2 = 0.
-1, 19
Suppose -2*m - 5*m + 140 = 0. Factor -m*p**3 - 7*p**4 - 4*p**2 - 4*p**5 - 11*p**4 - 12*p**5 - 14*p**4.
-4*p**2*(p + 1)*(2*p + 1)**2
Let v(t) be the first derivative of -t**6/480 + t**5/48 - t**4/32 - 3*t**3/8 + t**2/2 + 9*t + 1. Let q(i) be the second derivative of v(i). Factor q(l).
-(l - 3)**2*(l + 1)/4
Let i = 5761/38 - 40251/266. Solve -22/7*g**4 + 10/7*g**5 + 0*g - i*g**2 + 0 + 2*g**3 = 0.
0, 1/5, 1
Let s(t) be the second derivative of t**7/3 - 38*t**6/5 + 193*t**5/10 + 389*t**4 + 1420*t**3/3 - 600*t**2 - 4*t - 403. Find v such that s(v) = 0.
-3, -1, 2/7, 10
Let u(s) = -s**3 + 2*s**2 + 266*s - 186. Let y be u(17). Solve 5/4*c + y + 1/4*c**2 = 0.
-4, -1
Let 140*a + 225*a**2 + 196/9 = 0. What is a?
-14/45
Let m(i) be the first derivative of -i**6/630 - 58*i**5/105 - 1682*i**4/21 + 94*i**3 + 150. Let j(c) be the third derivative of m(c). What is y in j(y) = 0?
-58
Let l(j) be the third derivative of -13/40*j**6 - 3/2*j**5 + 0*j - 114 - j**2 + 0*j**4 + 1/70*j**7 + 0*j**3. Factor l(q).
3*q**2*(q - 15)*(q + 2)
Suppose -8*v = -13*v + 80. Factor v*k + 260*k**2 - 259*k**2 - 8*k + 15.
(k + 3)*(k + 5)
Let w = 783086/9 - 87008. Determine r, given that 0*r + 0 - w*r**4 + 2*r**3 - 4/9*r**2 = 0.
0, 2/7, 1
Let k = 161894/3 + -53964. Factor 2/3*f - k*f**3 + 2/3*f**2 - 2/3.
-2*(f - 1)**2*(f + 1)/3
Determine j so that 18 + 19/2*j + 1/4*j**2 = 0.
-36, -2
Factor -23*i - 14/3*i**2 + 1/3*i**3 - 18.
(i - 18)*(i + 1)*(i + 3)/3
Suppose -164/3 - 37/3*s + 1/3*s**2 = 0. What is s?
-4, 41
Let a(l) be the first derivative of 5*l**3/3 + 1085*l**2/2 + 2150*l - 6459. Factor a(p).
5*(p + 2)*(p + 215)
Let a = -9932 - -9935. Let r(p) be the second derivative of -29*p - 9/8*p**2 - 1/4*p**a + 0 + 1/16*p**4. Factor r(w).
3*(w - 3)*(w + 1)/4
Let x(j) = j**3 - 7*j**2 + 388*j - 2713. Let d be x(7). Factor -18/7*l + 3/7*l**4 + 0 + 0*l**3 - d*l**2.
3*l*(l - 3)*(l + 1)*(l + 2)/7
Factor -27/2*b**2 + 37/6*b**3 + 7/3*b + 0.
b*(b - 2)*(37*b - 7)/6
Factor 44*y**4 + 2*y**5 - 1144*y**2 - 22*y**3 + 573*y - 22*y**3 + 80*y**3 + 102*y**3 + 779*y.
2*y*(y - 2)**2*(y + 13)**2
Let c(t) be the third derivative of -t**5/80 + 47*t**4/32 + 49*t**3/4 - 88*t**2 - 4*t. Determine l so that c(l) = 0.
-2, 49
Let s(g) be the third derivative of g**5/120 + 3*g**4/8 - 319*g**3/12 - 3621*g**2. Factor s(c).
(c - 11)*(c + 29)/2
Let j(