) - 9*z(d). Factor f(a).
-4*a*(a - 20)**2*(a - 1)
Let x(y) = -27*y**3 + 53*y**2 + 11*y. Let z(o) = 5*o**3 - 11*o**2 - 2*o. Let h(s) = 2*x(s) + 11*z(s). Factor h(t).
t**2*(t - 15)
Let v = -214 - -224. Let o be (165/27 - 6)/(v/45). Solve r**2 + 0*r**3 - 1/2*r**4 - o + 0*r = 0 for r.
-1, 1
Solve -669/5 + 666/5*a + 3/5*a**2 = 0 for a.
-223, 1
Let w(z) be the third derivative of -3*z**6/20 + 157*z**5/5 + 317*z**4/3 + 424*z**3/3 + 10*z**2 - 2*z. Factor w(k).
-2*(k - 106)*(3*k + 2)**2
Let r be -6 + 0 + 23 + -15. Factor 155*d - 55*d**r + 170 + 162 - 302.
-5*(d - 3)*(11*d + 2)
Let v(c) be the second derivative of c**4/66 - 23*c**3/33 + 76*c**2/11 + 704*c. Factor v(k).
2*(k - 19)*(k - 4)/11
Let x(u) be the first derivative of 4*u**5/5 - 56*u**4 - 476*u**3/3 + 348*u**2 + 1171. Determine a so that x(a) = 0.
-3, 0, 1, 58
Determine j so that 1/3*j**2 - 187/2 - 371/6*j = 0.
-3/2, 187
Let x(m) = -14*m**2 - 1112*m + 312. Let b(t) = 12*t**2 + 1113*t - 273. Let v(o) = 8*b(o) + 7*x(o). Factor v(z).
-2*z*(z - 560)
Let z(f) = -63*f**2 - 2835*f + 2826. Let m(y) = 13*y**2 + 567*y - 565. Let q(t) = -24*m(t) - 5*z(t). Suppose q(s) = 0. What is s?
-190, 1
Factor -121*n**2 + 2*n**3 - 332*n**2 + 1406*n - 317*n**2 - 702 + 64*n**2.
2*(n - 351)*(n - 1)**2
Let v(s) be the second derivative of -s**5/4 + 107*s**4/6 + 437*s**3/10 + 198*s**2/5 + 570*s. Find d, given that v(d) = 0.
-3/5, 44
Let t(k) be the second derivative of -4*k**4/3 + 214*k**3/3 + 54*k**2 + 35*k + 2. Let t(z) = 0. What is z?
-1/4, 27
Let d(s) be the third derivative of 42*s**2 + 1/1575*s**7 + 0*s**3 + s + 0 - 1/1260*s**8 + 1/450*s**5 + 1/150*s**6 - 1/90*s**4. What is f in d(f) = 0?
-1, 0, 1/2, 2
Determine w so that 17/6*w - 1/6*w**3 - 7/3*w**2 + 5 = 0.
-15, -1, 2
Let o(d) = 10*d**3 - 28*d**2 - 82*d + 2708. Let q(w) = 18*w**3 - 58*w**2 - 163*w + 5415. Let h(b) = -7*o(b) + 4*q(b). Suppose h(f) = 0. What is f?
-8, 13
Let g = -110 - -112. Factor 8 + 12536*l**2 - 7*l + g*l**4 + 6*l**3 - 12546*l**2 + l.
2*(l - 1)**2*(l + 1)*(l + 4)
Let s(x) be the first derivative of -2*x**5/5 + 29*x**4/2 - 112*x**3 - 7331. Solve s(t) = 0 for t.
0, 8, 21
Suppose 54 = -6*o + 3*o + 5*n, -3*o - n = 72. Let k = 35 + o. Suppose -k*t + 2*t**2 + 6*t**2 - 250*t**3 + 254*t**3 = 0. What is t?
-3, 0, 1
Let d(p) be the third derivative of -1/7*p**3 - 8/105*p**5 - 3*p**2 + 0*p + 13/84*p**4 + 1/105*p**6 + 1. Let d(n) = 0. Calculate n.
1/2, 3
Suppose -b = 5*r - 43, 0 = -2*b - 22*r - 23*r + 366. Factor -b*d**2 - 24/5*d - 3/5*d**3 - 12/5.
-3*(d + 1)*(d + 2)**2/5
Let l(n) be the first derivative of 3*n**5/80 - n**4/8 + n**3/8 + 89*n - 217. Let i(m) be the first derivative of l(m). Solve i(v) = 0.
0, 1
Suppose -l + 24 = 5*l. Let v(t) = -t - 7. Let h be v(-12). Find x such that 0*x**5 + 24*x + 3*x**5 + 36*x**4 + h*x**5 + 64*x**3 + 56*x**2 + l = 0.
-1, -1/2
Let n = -751 - -754. Let j be 384/(-64)*(0 - 2/20). Factor 12/5*p**2 + 6/5 + j*p**n + 3*p.
3*(p + 1)**2*(p + 2)/5
Suppose -1363*n + 48 = -1347*n. Let g(c) be the second derivative of -10*c + 0 - 1/8*c**n + 1/48*c**4 + 0*c**2. Factor g(q).
q*(q - 3)/4
Let u(y) be the first derivative of -4*y**3/21 + 786*y**2/7 + 1889. Solve u(b) = 0 for b.
0, 393
Let 13225 - 5*c**3 - 2241*c - 360*c + 255*c**2 + 941*c - 2687*c + 552*c = 0. Calculate c.
5, 23
Let g(o) = o - 7. Let x(d) = -d**2 - 1316*d + 56. Let k(u) = -40*g(u) - 5*x(u). Factor k(t).
5*t*(t + 1308)
Let a(v) = -3*v**3 + 10*v**2 + 11*v - 6. Let i(h) = 10*h**3 - 33*h**2 - 38*h + 19. Let k(g) = -21*a(g) - 6*i(g). Let k(p) = 0. What is p?
-1, 1, 4
Suppose -7368*b + 2973663 - 841861 + 3860645 + 793481 + 2*b**2 = 0. What is b?
1842
Let a(h) be the first derivative of -h**7/560 + h**6/80 + h**5/80 - 3*h**4/16 - 5*h**3/3 - h - 33. Let n(z) be the third derivative of a(z). Factor n(r).
-3*(r - 3)*(r - 1)*(r + 1)/2
Let l be (231 + -207)*(-16)/(-72). Factor 38/3*w**4 - 5/3*w**5 - 32/3 - l*w + 112/3*w**2 - 104/3*w**3.
-(w - 2)**4*(5*w + 2)/3
Let s be 5520/(-230)*(-288)/81. Determine d, given that 64/3*d - s - 4/3*d**2 = 0.
8
Let f(z) be the second derivative of z**5/150 + z**4/30 - 4*z**2/15 - 97*z - 3. Factor f(j).
2*(j - 1)*(j + 2)**2/15
Let g(w) be the second derivative of -1/27*w**4 - 10*w**2 + 1/270*w**5 + 0 - 15*w + 0*w**3. Let c(r) be the first derivative of g(r). Factor c(a).
2*a*(a - 4)/9
Let i(g) be the second derivative of -2*g**6/15 + 4*g**5 + 22*g**4 + 136*g**3/3 + 46*g**2 - 2611*g. Factor i(x).
-4*(x - 23)*(x + 1)**3
Suppose 3*m - 3*q = 15, 4*m - 4*q - 23 = -m. Determine z so that 0*z**3 - 70*z**2 - 12*z - 12 + 151*z**2 + 3*z**m - 78*z**2 = 0.
-2, -1, 2
Let r(a) be the third derivative of 5*a**3 - 7/6*a**4 + 52*a - 1/30*a**5 + 0 - a**2. Factor r(j).
-2*(j - 1)*(j + 15)
Let p(m) = -50*m**2 - 7215*m + 14035. Let f(s) = 13*s**2 + 1804*s - 3507. Let k(n) = 35*f(n) + 9*p(n). Find j such that k(j) = 0.
2, 357
Let s be 8/3 + 2/(-3). Let c(k) = -26*k - 802. Let a be c(-31). Factor 6*p**3 + p**a + p**4 + 4*p**2 - 2*p**3 - 2*p - 2*p**5 - 4*p**4 - s.
-2*(p - 1)**2*(p + 1)**3
Let j(b) be the first derivative of b**4 - 932*b**3/15 + 712*b**2/5 + 144*b - 8973. Factor j(y).
4*(y - 45)*(y - 2)*(5*y + 2)/5
Factor 0 - 2/11*m**2 + 412/11*m.
-2*m*(m - 206)/11
Let m(r) be the second derivative of -r**5/20 - 11*r**4/6 - 19*r**3/6 + 21*r**2 + 2371*r. Factor m(f).
-(f - 1)*(f + 2)*(f + 21)
Let p = -9321 + 14082. Let a be 23/(p/1818) + -8. Find c, given that -a*c**3 - 16/23 + 72/23*c + 4/23*c**2 = 0.
-2, 2/9, 2
Let g(t) be the third derivative of -t**5/120 + 5*t**4/12 + 13*t**3 - 2119*t**2. Determine v so that g(v) = 0.
-6, 26
Let z = 195335 + -390571/2. Factor -21 + 15/2*l**2 + z*l.
3*(l + 7)*(5*l - 2)/2
Suppose -4*y + 22*s - 9 = 115, -y - 16 = -3*s. Find o, given that 6/13*o**4 + 0 - 6/13*o**y + 10/13*o**5 - 14/13*o**3 + 4/13*o = 0.
-1, 0, 2/5, 1
Let j(v) be the first derivative of -v**6/6 - 181*v**5/15 - 135*v**4/4 + 65*v**3/9 + 68*v**2 + 116*v/3 + 9383. Determine y so that j(y) = 0.
-58, -2, -1, -1/3, 1
Suppose -2670 = -110*m - 50*m - 2030. Find w such that 4/5*w + 13/5*w**3 - 12/5*w**2 - 6/5*w**m + 1/5*w**5 + 0 = 0.
0, 1, 2
Let q be 183/122*(8/6)/1. Let d be (4/(-22))/((-21)/154*q). Let 0*u - d*u**4 + 0 + 4/3*u**2 - 2/3*u**3 = 0. Calculate u.
-2, 0, 1
Let l be ((-183)/(-2))/((-261)/(-348)). Factor -1444 + l*i**2 + 315*i - 163*i - 126*i**2.
-4*(i - 19)**2
Find i such that -1640/13*i - 24/13 + 278/13*i**2 + 274/13*i**3 = 0.
-3, -2/137, 2
Let q be (1579875/(-420))/(-11) + 20/70. What is g in -1/4*g**2 - q - 37/2*g = 0?
-37
Let y be (-9)/(-30)*((-7)/(-14) + (-1322)/(-12)). Find f, given that 62/5*f**4 + 0 + 6/5*f**5 + 2*f**2 - 20*f + y*f**3 = 0.
-5, -1, 0, 2/3
Let u(l) be the second derivative of l**6/75 - 6*l**5/25 + 7*l**4/6 + 4*l**3/5 - 36*l**2/5 + 821*l + 2. Find w such that u(w) = 0.
-1, 1, 6
Let a(v) be the third derivative of -13/22*v**4 + 1/110*v**5 + 169/11*v**3 + 0*v + 0 - 31*v**2. Let a(b) = 0. Calculate b.
13
Let q(b) be the third derivative of b**8/42 - b**7/126 - 97*b**6/360 + b**5/9 + b**4/18 + 2*b**2 - 5490. What is m in q(m) = 0?
-2, -1/8, 0, 1/3, 2
Let b(o) = -o + 13. Let q be b(19). Let k = 40 - q. Solve 4*a**2 - a - 5*a - 4 + 8*a**3 - k*a**5 + 44*a**5 = 0.
-1, 1, 2
Let p = 25692 + -25686. Let d(a) be the second derivative of -1/6*a**p - 5*a**4 - 30*a + 3/2*a**5 - 15/2*a**2 + 0 + 25/3*a**3. Find s such that d(s) = 0.
1, 3
Let t(r) be the first derivative of r**3/15 + 469*r**2 + 1099805*r - 600. Factor t(k).
(k + 2345)**2/5
Find w such that -w**3 + 4/3*w - 1/3*w**5 - 4/3*w**4 + 4/3*w**2 + 0 = 0.
-2, -1, 0, 1
Let v(p) be the second derivative of -p**7/42 + 7*p**6/15 + 51*p**5/20 + p**4/3 - 34*p**3/3 + 294*p. Factor v(q).
-q*(q - 17)*(q - 1)*(q + 2)**2
Factor 521*n + 16 + 14 + 175*n**2 - 213*n - 513*n.
5*(n - 1)*(35*n - 6)
Let p(u) = u**2 + 18*u + 6. Let k be p(-18). Factor -k + 2 + 245*m**2 - 242*m**2 - 5*m + m**4 + 5*m**3.
(m - 1)*(m + 1)**2*(m + 4)
Let u(x) = -x + 22. Let c be u(16). Let t(o) = -2*o**2 + 18*o + 14. Let m(p) = 3*p**2 - 37*p - 29. Let a(b) = c*m(b) + 11*t(b). Find s, given that a(s) = 0.
-5, -1
Let z(r) = -r**2 - 9*r - 10. Let l(j) = 8*j + 8. Suppose -7*i + 47 - 12 = 0. Let d(v) = i*l(v) + 4*z(v). Suppose d(m) = 0. Calculate m.
0, 1
Suppose -21*m + 6044 = -5716. Suppose -y = m - 562. Let -5/6*q**3 + 5/3 - 5/3*q**y + 5/6*q = 0. What is q?