) = u**2 + 36*u + 287. Let b be r(-12). Let f be 7/(-1) - 10/b. Solve 3/5*k**f - 3/5*k**2 + 0 + 0*k = 0.
0, 1
Factor 5244/11 + 2/11*u**2 + 1754/11*u.
2*(u + 3)*(u + 874)/11
Let g(c) = 3*c**2 + 2*c + 9. Let o(l) = l**3 + l**2 + l - 8. Let b be o(2). Let k(y) = -2*y**2 - y - 9. Let d(s) = b*g(s) + 7*k(s). Find u, given that d(u) = 0.
-9/4, 1
Let o(k) = 16*k**2 + 1078*k - 678. Let a be o(-68). Let -a - 2/15*r**2 + 32/15*r = 0. What is r?
1, 15
Let h be -3*(7 - 6) + 5 + -1. Solve -h + 3 + 8*d**2 - 182*d + 192*d = 0 for d.
-1, -1/4
Factor -45288*m**3 + 1889*m**4 + 70647*m + 1999*m**4 + 153328*m**2 - 108*m**5 + 131965*m.
-4*m*(m + 1)*(3*m - 37)**3
Suppose -5*w = 24 - 79. Let b = 3 + -1. Factor -215*n**b + 210*n**2 + 50*n - w - 114.
-5*(n - 5)**2
Let a(o) be the third derivative of -o**8/1344 - 9*o**7/280 + 29*o**6/240 + 3420*o**2. Find s, given that a(s) = 0.
-29, 0, 2
Factor -1592*f**2 - 2*f - 8 - 1590*f**2 - 1592*f**2 + 6373*f**2 - 1589*f**2.
2*(f - 1)*(5*f + 4)
Let n = -32037 - -32041. What is x in 0*x + 4/5*x**n + 0 - 4/5*x**2 + 2/5*x**3 - 2/5*x**5 = 0?
-1, 0, 1, 2
Find o, given that 12496/9*o**2 - 20/3*o**3 - 368*o - 3328/9 = 0.
-2/5, 2/3, 208
Let o(w) = 4*w**3 - 14*w**2 + 20*w - 10. Let h(p) = p**3 - 2*p**2 + p. Let f = -116 + 119. Let r(a) = f*h(a) - o(a). Solve r(t) = 0.
1, 2, 5
Let x(a) be the first derivative of -7*a**6/15 + 914*a**5/25 - 123*a**4/10 - 914*a**3/15 + 26*a**2 + 2287. Determine g, given that x(g) = 0.
-1, 0, 2/7, 1, 65
Suppose 160*y**2 + 12000 + 8800/3*y - 8*y**3 - 2/3*y**4 = 0. Calculate y.
-10, 18
Suppose 0 = 5*g + r - 5, -7*g + 10*g - 1 = -r. Factor 8*b**2 + 4*b**3 - 9*b**g - 5*b**2 - 6*b**3.
-2*b**2*(b + 3)
Let z(b) be the third derivative of 2*b - 1/39*b**3 + 1/390*b**6 + 1/130*b**5 - 2*b**2 + 0*b**4 + 0. Solve z(w) = 0.
-1, 1/2
Let k = 3522/47 - 15354/235. Find p, given that k + 2*p - 2/5*p**2 = 0.
-3, 8
Let z(k) be the first derivative of -k**6/1440 - 11*k**5/480 + k**4/8 - 142*k**3/3 + 217. Let n(o) be the third derivative of z(o). Factor n(m).
-(m - 1)*(m + 12)/4
Let q(l) be the second derivative of 0*l**2 + 0 + 1/21*l**7 + 0*l**3 + 29*l + 1/5*l**5 + 0*l**4 - 1/5*l**6. Solve q(y) = 0.
0, 1, 2
Let b(m) = 2*m**3 - 10*m**2 + m - 3. Let d be b(5). Suppose 748*c - 2*c**d - 802*c - c**2 - 243 = 0. What is c?
-9
Suppose -6 + 8 = q. Factor 2073*v**q - 9 + 28*v - 2075*v**2 - 17.
-2*(v - 13)*(v - 1)
Let a(r) be the third derivative of 0*r**3 - 78*r**2 + 1/60*r**5 + 0 + 1/12*r**4 + 0*r. Find o such that a(o) = 0.
-2, 0
Let x(m) be the third derivative of m**7/147 - 281*m**6/210 + 1136*m**5/15 - 224*m**4/3 + 3*m**2 + 89. Find q such that x(q) = 0.
0, 2/5, 56
Suppose -596/3*n**2 - 13*n**4 + 242/3*n**3 - 256/3 + 216*n + 1/3*n**5 = 0. What is n?
1, 2, 32
Factor -53/3*l + 1/3*l**2 + 196/3.
(l - 49)*(l - 4)/3
Let x(u) be the first derivative of -12*u**5/25 - 213*u**4/20 - 41*u**3/5 + 51*u**2 - 1843. Find o, given that x(o) = 0.
-17, -2, 0, 5/4
Let o(w) be the second derivative of w**4/60 - 1366*w**3/5 + 8396802*w**2/5 + 3699*w. Factor o(n).
(n - 4098)**2/5
Let j(r) = 2*r**3 - 62*r**2 + 211*r + 138. Let q be j(27). Factor 7/4*g**2 + 13/4*g**4 - g**5 - 1/4*g + 0 - 15/4*g**q.
-g*(g - 1)**3*(4*g - 1)/4
Let j(x) = -2*x + x**2 - 1 + 3*x - 5*x. Let c(n) = 2*n**2 - 5*n - 1. Suppose -m = 3*p + 7, 5*m - 4 = 2*p + 12. Let r(g) = m*c(g) - 3*j(g). Factor r(i).
(i + 1)**2
Determine u, given that -123*u + 2652*u**2 + 2660*u**2 - 10626*u**2 + 2654*u**2 + 234 + 2663*u**2 = 0.
2, 39
Let m(a) = 6*a**4 + 6*a**3 - 1244*a**2 - 1246*a + 97336. Let y(v) = -v**4 + v**3 - v + 4. Let d(i) = -m(i) - 2*y(i). Factor d(z).
-4*(z - 12)**2*(z + 13)**2
Let y(s) = 5066*s - 263429. Let a be y(52). Factor 0*g + 0 + 195/2*g**a + 185/2*g**2 + 5*g**4.
5*g**2*(g + 1)*(2*g + 37)/2
Determine j so that 972*j**5 - 245*j**4 + 1633*j**4 + 1713*j**4 + 294*j**2 - 401*j**4 + 1659*j**3 = 0.
-2, -7/18, 0
Let b be (-1 - (-52)/(-2))*(-12)/36. Factor -70*g + 6*g**2 - 17*g + 21 + b*g**2 - 3*g**2.
3*(g - 7)*(4*g - 1)
Let v = 200783/1004140 + 9/200828. Find x such that -v*x**2 - 42/5 + 43/5*x = 0.
1, 42
Solve -547/2*i + 9/2*i**2 - 61 = 0 for i.
-2/9, 61
Let i be ((-14)/(-11))/((-127)/(-381)). Let d be (1 - -1) + 276/(-66) + 4. Factor -i*k + d + 4/11*k**2.
2*(k - 10)*(2*k - 1)/11
Find a, given that 38/5*a**2 + 0 - 56/5*a + 17/5*a**3 + 1/5*a**4 = 0.
-14, -4, 0, 1
Let r(h) = -2*h**2 + 472*h + 480. Let v(q) = -3*q**2 + 468*q + 479. Let p(x) = 8*r(x) - 6*v(x). Factor p(b).
2*(b + 1)*(b + 483)
Let i = 42228 + -42223. Factor 0 + 40/3*k**3 + 2/3*k**i + 25/3*k**2 - 19/3*k**4 + 0*k.
k**2*(k - 5)**2*(2*k + 1)/3
Let q = -570 - -560. Let g be (4/75)/(q/(-175)). Factor g*d + 2/15*d**2 + 4/5.
2*(d + 1)*(d + 6)/15
Determine h, given that 3754190*h**2 - 25478*h**4 - 245*h**5 - 431*h**5 + 1795442*h**2 + 1955520*h + 156800 + 43412*h**4 + 77850*h**4 - 3472160*h**3 = 0.
-2/13, 2, 70
Let q be -25 - 75/((-34125)/14495). What is f in -q - 4/7*f**2 - 32/7*f = 0?
-6, -2
Let k be 280/6 - 12/(-9). Let y be -8*((-3)/45)/(k/120). Suppose 2/3 + 5/3*c - y*c**4 + 2/3*c**2 - 4/3*c**3 - 1/3*c**5 = 0. Calculate c.
-2, -1, 1
Let i be (-18387)/(-16344) + (-94)/112. Solve -18/7*l + i*l**2 - 20/7 = 0 for l.
-1, 10
Let a(m) = 11*m**3 + m**2 - 4*m. Let r(c) be the first derivative of 5*c**4/2 - 5*c**2/2 - 88. Let g(n) = 5*a(n) - 6*r(n). Factor g(v).
-5*v*(v - 2)*(v + 1)
Let t = -6787 - -6789. Factor 4/3*o**t + 0 + 4*o.
4*o*(o + 3)/3
Let d(k) be the first derivative of 5*k**6/33 - 38*k**5/55 - 29*k**4/22 - 10*k**3/33 + 1662. Find x such that d(x) = 0.
-1, -1/5, 0, 5
Let s(m) be the second derivative of m**4/6 + 203*m**3/3 - 828*m**2 - 1244*m. Let s(o) = 0. Calculate o.
-207, 4
Find f, given that 106/3*f**2 - 40/9*f**3 - 1/9*f**4 - 512/9*f + 235/9 = 0.
-47, 1, 5
Let h(q) be the third derivative of -q**5/135 + 119*q**4/9 - 28322*q**3/3 - 23*q**2 + 14. Factor h(o).
-4*(o - 357)**2/9
Let r(p) be the second derivative of 289*p**5/15 - 136*p**4/9 + 32*p**3/9 + 2*p + 2883. Factor r(z).
4*z*(17*z - 4)**2/3
Let p = 795 + -356. Factor 10*c - p + 394 + 20*c - c**2 - 4*c**2.
-5*(c - 3)**2
Let b(i) = 3*i**2 - 74*i + 139. Let n be b(2). Let d(g) be the first derivative of 0*g + 2/9*g**n - 2/3*g**2 + 4. Suppose d(m) = 0. Calculate m.
0, 2
Let a(d) be the first derivative of 3*d**5/20 + 345*d**4/4 + 39675*d**3/2 + 4562625*d**2/2 + 524701875*d/4 - 459. Determine k so that a(k) = 0.
-115
Let d = -1171 + 1173. Suppose -3*v - 25*s + 28*s = -6, -d*v - 2*s = -20. Factor 3/2*m**2 + 6*m + 0 - v*m**3 - 3/2*m**4.
-3*m*(m - 1)*(m + 1)*(m + 4)/2
Let p = 9584843/39090 - -5/7818. Let r = p - 245. Determine a, given that 0*a**2 + 0 + r*a**3 - 1/5*a = 0.
-1, 0, 1
Let d(t) = -17*t**2 + 222*t + 731. Let w(k) = -3*k**2 + 44*k + 146. Let f(y) = 2*d(y) - 11*w(y). Solve f(p) = 0.
-36, -4
Let u = 144 - 146. Let x(y) = -2*y**5 + 16*y**4 + 12*y**3 + 8*y**2 - 34*y - 18. Let l(m) = -m**4 + m + 1. Let b(a) = u*x(a) - 36*l(a). Factor b(p).
4*p*(p - 2)*(p - 1)*(p + 2)**2
Let q be (-162)/4*128/(-2592). Let -33/8*v + 3/8*v**q + 15/4 = 0. Calculate v.
1, 10
Suppose -10*q + 3*r + 10 = -9*q, 0 = -5*q - 3*r + 122. Let -q*v**2 + 50*v**2 + 1682 - 26*v**2 - 116*v = 0. What is v?
29
Let z(r) = -r**2 + 318*r - 4829. Let p be z(16). Factor 0*x**p - 1/4*x**4 + 0 + 0*x - 5/4*x**5 + 0*x**2.
-x**4*(5*x + 1)/4
Find m, given that 18859 - 5*m**4 + 2420*m + 2549*m**2 + 255*m**3 + 12380*m + 991*m**2 + 1301 = 0.
-4, 63
Let h = 0 - -3. Let v = 86443/216095 - 1/43219. Factor t**2 + 0 - 3/5*t**h - v*t.
-t*(t - 1)*(3*t - 2)/5
Let i(r) = -r**3 - 39*r**2 + 83*r - 44. Let s be i(-41). Let z be ((-17)/s - 266/130) + 2. Factor 72/13 - 24/13*b + z*b**2.
2*(b - 6)**2/13
Suppose 1/3*w**4 - 19/3*w**3 - 13/3*w**2 + 26*w + 24 + 1/3*w**5 = 0. Calculate w.
-4, -2, -1, 3
Let y = 341135/28 + -48729/4. Solve 12/7*x**5 + 0*x**2 + 4*x - y + 8/7*x**4 - 40/7*x**3 = 0.
-2, -1, 1/3, 1
Let j(u) be the second derivative of u**6/1800 - 3*u**4/40 - u**3/6 + 2*u**2 - 6*u. Let t(o) be the second derivative of j(o). Let t(n) = 0. What is n?
-3, 3
Let s(y) = 8*y**2 - 9*y - 17. Let d(v) = 80*v**2 + 25*v**2 - 141*v + 26*v - 91 - 129. Let q(u) = 3*d(u) - 40*s(u). Suppose q(p) = 0. Calculate p.
-1, 4
Let t(u) be the third derivative of -1/570*u**5 + 5/228*u**4 + 0 - 14*u**2 + 0*u - 4/57*u**3. Factor t(m).
-2*(m - 4)*(m - 1)/19
Supp