) be the third derivative of -22801*o**5/210 + 151*o**4/42 - o**3/21 + 2*o**2 + 192. Factor v(w).
-2*(151*w - 1)**2/7
Let h be 6/(-3) - 4 - (-542840)/4965. Suppose -26 - h*a + 8/3*a**2 = 0. What is a?
-1/4, 39
Suppose -4*n = 3*j - 1 - 5, 5*n - j - 17 = 0. Let p(r) = r**3 + 12*r**2 + 22*r - 11. Let u be p(-3). Solve -l**u - 2*l**2 - 15/2*l**n + 2*l + 5/2*l**5 + 0 = 0.
-1, 0, 2/5, 2
Suppose -14*q + 9*q + 962 = p, -2*q - 4*p + 392 = 0. Factor 35*j + 19*j + q - 20*j + 22*j + 20*j + 4*j**2.
4*(j + 3)*(j + 16)
Let o(u) = 5*u**3 + 235*u**2 + 1045*u - 40. Let k(w) = -3*w**3 - 116*w**2 - 523*w + 16. Let m(v) = -5*k(v) - 2*o(v). Factor m(b).
5*b*(b + 7)*(b + 15)
Factor -3 + 3253*o + 0*o**3 + 3*o**3 - 27*o**2 - 3283*o + 3.
3*o*(o - 10)*(o + 1)
Let d be 5/(-2130)*-4*6/(-9). Let s = d - -4513/6390. Suppose -7/10*h**3 + 0*h - 1/5*h**5 - s*h**4 + 0 - 1/5*h**2 = 0. What is h?
-2, -1, -1/2, 0
Determine o so that 2/3*o**2 - 328/3*o - 110 = 0.
-1, 165
Let j(t) be the third derivative of -t**9/105840 + 13*t**8/35280 + 9*t**5/4 + 54*t**2. Let n(r) be the third derivative of j(r). Solve n(s) = 0.
0, 13
Let 2088*d**3 - 1421 - 344 - 615 - 4177*d**3 + 2094*d**3 + 1600*d - 215*d**2 = 0. Calculate d.
2, 7, 34
Let -206 + 411/2*t + 1/2*t**2 = 0. What is t?
-412, 1
Suppose -73*v - 6552 = 19363. Let l = v + 1070/3. Let -l - 3/2*o + 1/6*o**2 = 0. Calculate o.
-1, 10
Let a(w) = -33*w**3 - 4334*w**2 - 241920*w - 466547. Let y(b) = -8*b**3 - 1084*b**2 - 60480*b - 116637. Let v(c) = -3*a(c) + 13*y(c). Factor v(t).
-5*(t + 2)*(t + 108)**2
Let a = -15392 - -10420382/677. Let w = a - -695/6093. Find o, given that 0*o**2 + 1/9*o - w*o**3 + 0 = 0.
-1, 0, 1
Let u(l) be the first derivative of 259 + 42*l - 27/4*l**2 + 1/4*l**3. Let u(o) = 0. Calculate o.
4, 14
Let 391 + 49 - 402*l + 3*l**3 - 1195*l**2 + 598*l**2 + 564*l**2 - 8 = 0. Calculate l.
-8, 1, 18
Find o such that -23 + 2*o**2 + o**2 + 3*o + 66*o**3 + 20 - 69*o**3 = 0.
-1, 1
Factor r**3 + 71*r - 89*r + 12*r + r**2.
r*(r - 2)*(r + 3)
Let c(a) be the second derivative of 45/4*a**2 - 2*a + 168 + 5/48*a**4 + 15/8*a**3. Find r, given that c(r) = 0.
-6, -3
Suppose 497*v + 205*v - 118*v - 31536 = 0. Factor v - 10/3*s**2 - 6*s - 2/9*s**3.
-2*(s - 3)*(s + 9)**2/9
Let p(k) be the third derivative of 0 - 4/105*k**7 - 1/168*k**8 + 0*k + 272*k**2 - 1/12*k**4 - 1/10*k**6 + 0*k**3 - 2/15*k**5. Factor p(a).
-2*a*(a + 1)**4
Suppose 2*d**2 + 63371 + 372592 - 37*d - 792*d - 1243*d + 100685 = 0. What is d?
518
Let c = -33/2048 + 1057/2048. Let c + 19/4*p + 17/4*p**2 = 0. Calculate p.
-1, -2/17
Let x be (15/40 - 407/(-88)) + (237 - -1). Let s(p) be the first derivative of -19 + 81/2*p**2 - 3*p**3 + 1/12*p**4 - x*p. Factor s(i).
(i - 9)**3/3
Suppose -171 = 1770*l - 1789*l. What is h in -1/3*h**3 + 3*h**2 - l*h + 9 = 0?
3
Suppose 0 = 3*s + 5 + 16. Let y(c) = c**2 + 19*c + 18. Let t(o) = 15*o - 64 - 36*o + 10 - 2*o**2 - 35*o. Let n(u) = s*y(u) - 2*t(u). Solve n(k) = 0.
-6, -1
Let x(p) be the third derivative of -1/5*p**5 - p**2 - 17/30*p**4 - 4/5*p**3 + 2/525*p**7 - 1/50*p**6 + 15*p + 0. Find f such that x(f) = 0.
-1, 6
Suppose 4926 - 9785 = -39*j - 4703. Solve -48/5 - 92/5*c**2 - 128/5*c + 12/5*c**3 + 4/5*c**5 + 28/5*c**j = 0.
-6, -1, 2
Let t(j) be the second derivative of 1/126*j**7 - 1/90*j**6 + 1/36*j**4 + 0*j**2 + 1/9*j**3 + 0 + 101*j - 1/20*j**5. Factor t(a).
a*(a - 2)*(a - 1)*(a + 1)**2/3
Let h(w) be the second derivative of w**5/20 - 2*w**4 + 21*w**3/2 - 2*w + 675. Solve h(x) = 0 for x.
0, 3, 21
Let u(b) be the second derivative of 3/20*b**5 + 40*b - 1/20*b**6 - 3/2*b**3 + 0 + 0*b**2 + 5/8*b**4. Find h, given that u(h) = 0.
-2, 0, 1, 3
Let t(g) be the third derivative of 5/6*g**4 + 0*g**3 + 11/30*g**5 + 3*g**2 + 0 + 1/60*g**6 + 5*g. Factor t(o).
2*o*(o + 1)*(o + 10)
Suppose 14*y - 39 = -11. Determine p, given that 2*p**y - 31*p + p**4 + 36*p - p**2 - 2*p**4 - 5*p**3 = 0.
-5, -1, 0, 1
Let c(k) be the second derivative of k**7/42 - k**6/15 - k**5/20 + k**4/6 - 42*k + 4. Solve c(t) = 0 for t.
-1, 0, 1, 2
Let s = 24 + -46. Let i = s - -24. Determine a so that 12*a**2 - 6*a**i - 10*a**2 = 0.
0
Let p = 4 - 2. Let b(g) = -g**2 - 21*g - 95. Let x be b(-14). Factor -7*r**4 - 2*r**p - 3*r**3 + 0*r**3 + 10*r**4 - r**2 + x*r.
3*r*(r - 1)**2*(r + 1)
Let s(z) = -1337*z - 2 - 6*z**2 - 4*z**3 + 0 + 1333*z. Let f(m) = -12*m**3 - 17*m**2 - 12*m - 7. Let w(o) = 2*f(o) - 7*s(o). Solve w(i) = 0 for i.
-1, 0
Let d(y) be the first derivative of -y**3 - 201*y**2/2 - 390*y + 894. Solve d(r) = 0.
-65, -2
Solve 45080*k - 510*k**2 + 58081 + 29*k**2 + 29575*k - 17056*k + k**3 = 0.
-1, 241
Factor -365/2*c**3 - 690*c - 5/2*c**4 + 0 - 700*c**2.
-5*c*(c + 2)**2*(c + 69)/2
Let j(o) be the third derivative of -5/18*o**4 + 0*o**3 - 70*o**2 + 0 + 1/90*o**5 + 0*o. Find h such that j(h) = 0.
0, 10
Let d be (-65)/(-21) - ((-2544)/(-144) + -18). Let 4/7*a**3 - d*a**2 + 36/7*a - 16/7 = 0. Calculate a.
1, 4
Let -1124/3 + 4/3*x**2 - 1120/3*x = 0. What is x?
-1, 281
Let b(u) = -u**3 + u**2 - 6*u. Let s(c) = -18*c**3 + 63*c**2 - 45*c. Let l(d) = 12*b(d) - s(d). Determine t, given that l(t) = 0.
-1/2, 0, 9
Let x(y) = -27*y**2 + 1233*y + 474. Let h(r) = 79*r**2 - 3695*r - 1424. Let z(i) = 6*h(i) + 17*x(i). Suppose z(c) = 0. Calculate c.
-2/5, 81
Let w = -3037 + 3054. Let c(u) be the second derivative of 0*u**2 + 1/255*u**6 + 0*u**4 + 1/170*u**5 + 0 + w*u + 0*u**3. Factor c(b).
2*b**3*(b + 1)/17
Let i = 1345 - 1338. Let u be i + (30/(-9) - 5 - -2). Find r, given that 0*r**2 - 4/3*r**4 + 0 + u*r**5 + 0*r + 2/3*r**3 = 0.
0, 1
Suppose 0 = -136*y + 141*y - 75. Let o(z) = z**3 - 15*z**2 - 3*z + 49. Let g be o(y). Factor -1/2*p**g + 1/2*p**2 + 0 + 1/4*p**5 - 1/4*p**3 + 0*p.
p**2*(p - 2)*(p - 1)*(p + 1)/4
Let b(v) = 26*v**2 + 7*v - 13. Let j be b(-3). Let i be j/180 - 34/(-18). Factor 27/2*c - 6 + 3/2*c**i - 9*c**2.
3*(c - 4)*(c - 1)**2/2
Let t(p) be the second derivative of -1/40*p**5 + 0 - 3/2*p**3 + 19/24*p**4 + 0*p**2 + 228*p. Factor t(w).
-w*(w - 18)*(w - 1)/2
Let m(w) be the first derivative of -4*w**5/15 - 494*w**4 - 2202244*w**3/9 - 731120*w**2 - 2190400*w/3 - 3363. Determine p, given that m(p) = 0.
-740, -1
Suppose -3*a - 869 = -q, -11*q + 15*q - 2*a = 3496. Let s = -872 + q. What is b in -2/3*b**2 - b**s + 0 + 0*b - 1/3*b**4 = 0?
-2, -1, 0
Let z(k) = -7*k**5 - 20*k**4 + 1453*k**3 + 2409*k**2 + 479*k - 484. Let h(v) = v**5 + v**3 - 3*v**2 - v. Let p(b) = -5*h(b) + z(b). Solve p(o) = 0.
-11, -1, 1/3, 11
Let d(s) = -42*s**2 + 66*s + 240. Let y(w) = 3*w**3 + w**2 - 4*w - 3. Let v be y(-2). Let r(j) = -11*j**2 + 16*j + 60. Let g(b) = v*r(b) + 4*d(b). Factor g(n).
-3*(n - 10)*(n + 2)
Let u = 121725 - 121722. What is s in -3/4*s**2 + s + u - 1/4*s**3 = 0?
-3, -2, 2
Let c(y) be the third derivative of y**5/12 + 485*y**4/24 + 80*y**3 + 2*y**2 - 2*y + 238. Factor c(l).
5*(l + 1)*(l + 96)
Factor 894/11*t + 2/11*t**2 + 0.
2*t*(t + 447)/11
Suppose 0 = -2*r - x - 4, 0 = r - 3259*x + 3263*x + 16. Factor r*c - 4/7*c**4 + 228/7*c**2 + 0 + 64/7*c**3.
-4*c**2*(c - 19)*(c + 3)/7
Let o(c) be the second derivative of -c**7/42 + 7*c**5/20 + c**4/2 - 1507*c. Solve o(m) = 0.
-2, -1, 0, 3
Let t(u) = -76*u**2 + 3223*u - 3077. Let m(s) = 13*s**2 - 538*s + 513. Let z(n) = -35*m(n) - 6*t(n). Solve z(q) = 0.
1, 507
Let z = -27 + 55/2. Let l = -1541811/2 + 770907. Factor -l*d + 0 + z*d**2.
d*(d - 3)/2
Let 1/7*a**5 + 59/7*a**3 + 18/7*a**4 - 60/7*a + 200/7 - 218/7*a**2 = 0. What is a?
-10, -1, 1, 2
Suppose 2*g + 175 = -5*r + 29, -g - 71 = 2*r. Let k be g/(-28) - (-1)/(-4). Determine w so that -3/5*w**k + 0 - 6/5*w**3 - 3/5*w**4 + 0*w = 0.
-1, 0
Let j(f) = -f**2 + f + 70. Let l be j(-7). Let v be 1 - (7/l + -1). Factor 33/4*c**3 + v*c - 39/4*c**2 + 0.
3*c*(c - 1)*(11*c - 2)/4
Let z(q) be the second derivative of -q**4/4 + 349*q**3 - 365403*q**2/2 - 83*q + 1. Determine p, given that z(p) = 0.
349
Let w = -242 - -328. Suppose 8*b = 102 - w. Factor 6/5*s**b + 18/5 + 24/5*s.
6*(s + 1)*(s + 3)/5
Let f = 12683/126780 - 1/25356. Factor 280*j - f*j**5 + 400 + 13/5*j**4 - 8*j**2 - 92/5*j**3.
-(j - 10)**3*(j + 2)**2/10
Let u(m) be the first derivative of m**6/39 + 16*m**5/65 + 10*m**4/13 + 32*m**3/39 - 533. Factor u(d).
2*d**2*(d + 2)**2*(d + 4)/13
Suppose 0*c - 4*c - 5*x = -120, 5*c = -4*x + 141. What is l in -16*l**3 + 6 + 7*l