 + -17. Let b(a) = i*w(a) + k*s(a). Factor b(n).
2*(n + 2)**2
Let d(l) be the second derivative of l**4/30 - 32*l**3/15 - 64*l**2 + 3*l - 1293. Factor d(o).
2*(o - 40)*(o + 8)/5
Let y be (52/(-195))/((-364)/130)*24. Find s such that -2/21*s**5 - 106/21*s**3 - y*s + 0 - 32/21*s**4 - 124/21*s**2 = 0.
-12, -2, -1, 0
Let r(a) be the second derivative of 2*a**6/135 + 4*a**5/45 - 5*a**4/9 - 4*a**3/3 - 103*a. Factor r(o).
4*o*(o - 3)*(o + 1)*(o + 6)/9
Let b = 819 + -819. Let j(d) be the first derivative of 1/10*d**2 + 0*d**3 - 1/10*d**4 + 1/30*d**6 + 4 + b*d + 0*d**5. Determine n, given that j(n) = 0.
-1, 0, 1
Let t(v) be the first derivative of v**6/60 - 203*v**5/50 + 101*v**4/20 - 5856. Factor t(k).
k**3*(k - 202)*(k - 1)/10
Let z(i) be the first derivative of -11/3*i - 2/9*i**3 - 87 - 89/12*i**2. Factor z(b).
-(b + 22)*(4*b + 1)/6
Let k(q) be the second derivative of -q**5/120 - 65*q**4/72 - 272*q**3/9 - 256*q**2/3 - 3294*q + 1. Find g, given that k(g) = 0.
-32, -1
Let s be (-52)/(-16) - 2/8. Factor 27*u**2 + 7*u**4 + 8 + 8*u - 12 + 19*u**3 + 0 - s*u**4.
(u + 1)*(u + 2)**2*(4*u - 1)
Factor 27/2*f**2 - 623/2*f + 23.
(f - 23)*(27*f - 2)/2
Factor 0 + 1/6*o**4 + 48*o**2 - 54*o + 35/6*o**3.
o*(o - 1)*(o + 18)**2/6
Let z(p) be the third derivative of -2*p**7/105 + 326*p**6/15 - 108214*p**5/15 + 105298*p**4 - 625974*p**3 - 7115*p**2. Suppose z(s) = 0. Calculate s.
3, 323
Let h(o) be the second derivative of -o**7/21 - 56*o**6/15 - 264*o**5/5 + 3584*o**4/3 - 16384*o**3/3 + 1275*o. Let h(s) = 0. What is s?
-32, 0, 4
Let h = -8 + 14. Suppose 114*b = 113*b - 5, 29 = 3*l - 4*b. Solve 2*v**2 + 4*v**5 - h*v**3 - 5 - 10*v**2 - l - 20*v + 22*v**3 + 16*v**4 = 0 for v.
-2, -1, 1
Let a = -16791 + 16822. Let t(d) be the second derivative of 0 - a*d - 1/100*d**5 - 1/15*d**3 + 1/20*d**4 + 0*d**2. Determine z so that t(z) = 0.
0, 1, 2
Let t = 453 + -413. What is j in t*j + 11*j**2 - 16*j**2 - 88 + 3 + 10 = 0?
3, 5
Let h(r) be the second derivative of -r**5/110 - 280*r**4/11 - 313600*r**3/11 - 175616000*r**2/11 - 2*r - 311. Factor h(a).
-2*(a + 560)**3/11
Suppose 768 + 112 = 5*z. Factor -4*s**2 - 2236 - z*s + 297 + 3.
-4*(s + 22)**2
Find h such that -135*h - 3770*h**4 - 1024*h**5 + 26366*h**3 + 29*h**5 - 30506*h**3 - 1350*h**2 + 150*h**5 = 0.
-3, -1, -3/13, 0
Factor -154*t**2 - 80*t**3 - 98/3*t + 0 + 800/3*t**4.
2*t*(t - 1)*(20*t + 7)**2/3
Let m = 137 - 139. Let a be (-100)/(-225)*(-9)/m. Let 36/11 - 30/11*l**4 - 6/11*l**a - 102/11*l + 102/11*l**3 = 0. What is l?
-1, 2/5, 1, 3
Let z(y) = 67*y + 87. Let a be z(-6). Let x be ((-9)/(a/14))/(2/3). Suppose x*o - 6/5*o**2 + 0 = 0. Calculate o.
0, 1/2
Let z(c) be the first derivative of -c**4/18 - 11*c**3/3 - 22*c - 104. Let b(x) be the first derivative of z(x). Factor b(v).
-2*v*(v + 33)/3
Suppose -2775*i = -3302*i + 2108. What is y in -8/7*y - 16/7*y**2 - 6/7*y**3 + 2/7*y**5 + 4/7*y**i + 0 = 0?
-2, -1, 0, 2
Let t = -279/173 + 13025/1211. Solve t*d + 512/7 + 2/7*d**2 = 0 for d.
-16
Let a(s) = -5*s**2 + 118*s - 36. Let k(i) = 3*i**2 - 65*i + 18. Let b(p) = -4*a(p) - 7*k(p). Suppose b(f) = 0. Calculate f.
-18, 1
Let l = -93 - -95. Factor 45 - 30*j**3 - 172*j + 3 + 5181*j**2 - 5039*j**l.
-2*(j - 3)*(3*j - 4)*(5*j - 2)
Let o(d) be the second derivative of d**5/180 - 7*d**4/36 + 13*d**3/18 - 41*d**2 + 5*d - 2. Let u(h) be the first derivative of o(h). Find s such that u(s) = 0.
1, 13
Let m be 458/(-6) + (-4)/(-12). Let o = m - -80. What is p in -p**3 - 33*p**o - 6*p**5 + 7*p**5 + 36*p**4 + 0*p**3 - 3*p**2 = 0?
-3, -1, 0, 1
Let d(m) be the third derivative of m**6/480 - 7*m**4/96 + m**3/4 - 6462*m**2. Suppose d(x) = 0. What is x?
-3, 1, 2
Let z(h) be the second derivative of 15 + 4/5*h**3 - h - 6/5*h**4 - 1/5*h**2. Determine y so that z(y) = 0.
1/6
Let k(w) be the third derivative of -w**8/112 + w**7/10 + w**6/5 + 865*w**2. Suppose k(q) = 0. What is q?
-1, 0, 8
Let i(a) = a**2 - 42*a + 26. Let l be i(9). Let m = l + 271. Let m - 2*b + 1/2*b**2 = 0. Calculate b.
0, 4
Suppose 0 = -3*d - 147 + 153. Suppose 100*n + 99*n**3 + 45*n**4 + 28*n**3 + 20 + 185*n**d + 23*n**3 = 0. Calculate n.
-1, -2/3
Let z(j) = 4*j**4 - 42*j**3 - 396*j**2 - 1297*j - 1125. Let a(t) = -t**4 - t**3 - 12*t**2 + t + 1. Let q(o) = 15*a(o) + 3*z(o). Factor q(u).
-3*(u + 2)**2*(u + 8)*(u + 35)
Let p(u) be the third derivative of -u**6/1020 - u**5/255 + 21*u**4/68 + 58*u**2 - u. Factor p(a).
-2*a*(a - 7)*(a + 9)/17
Let t(p) be the third derivative of -103*p**2 + 0*p**3 + 0 + 1/720*p**5 + 1/32*p**4 + 0*p. Factor t(l).
l*(l + 9)/12
Let h = -11796/13 + 908. Let u = 14191/13 + -1091. Factor -u*m - h - 2/13*m**2.
-2*(m + 2)**2/13
Let n be (-22)/3*(-18)/33. Let z(p) be the first derivative of 3/8*p**n - 15/4*p**2 - 10 + 2*p**3 + 0*p. Factor z(r).
3*r*(r - 1)*(r + 5)/2
Find q, given that 2/7*q**2 - 36*q + 1134 = 0.
63
Let u(y) = -908*y**2 - 836*y - 192. Let c(b) = 3636*b**2 + 3342*b + 766. Let r(w) = -2*c(w) - 9*u(w). Factor r(i).
4*(15*i + 7)**2
Let j = 321/658 + 14/47. Let b(y) be the first derivative of 3/7*y + 5/21*y**3 - j*y**2 + 3/28*y**4 + 8. Find c such that b(c) = 0.
-3, 1/3, 1
Let g(d) be the first derivative of -77/12*d**2 - 1/24*d**4 + 80 + 49/3*d + 8/9*d**3. What is p in g(p) = 0?
2, 7
Let k be 34/6*(1 + -4)/(-1). Suppose 2*f = -3*h + 17, h - 3*f + k = 2*f. Determine d so that -h*d**2 - 4*d**2 + 2*d**2 + 10*d = 0.
0, 2
Let t(s) be the first derivative of 25 + 1/30*s**5 + 0*s**2 + 1/18*s**3 + 0*s + 1/12*s**4. Factor t(f).
f**2*(f + 1)**2/6
Let l(g) = -14*g - 34. Let n be l(-4). Factor -17*c + 38 - 4*c**2 - 3*c + 40 - n.
-4*(c - 2)*(c + 7)
Let b(h) = h**3 - 3*h - 2. Let o be b(-1). Suppose 10*s - 51 + 31 = o. Factor -3/5*f**3 - 21/5*f**s + 0 - 18/5*f.
-3*f*(f + 1)*(f + 6)/5
Factor -1000/17 + 2/17*c**3 + 30/17*c**2 + 0*c.
2*(c - 5)*(c + 10)**2/17
Let v = 25243 - 25240. Let z(n) be the second derivative of -5/6*n**v + 0 - 5/6*n**4 + 1/4*n**5 + 1/3*n**6 + 0*n**2 + 18*n. Factor z(y).
5*y*(y - 1)*(y + 1)*(2*y + 1)
Let k = 11749/165 + -2330/33. Determine n, given that k*n**5 - 24/5*n + 3*n**4 - 12/5 + 21/5*n**3 - 3/5*n**2 = 0.
-2, -1, 1
Let j(f) = f**3 + 9*f**2 - f - 9. Let o be j(-9). Suppose -2*n + 9 = 2*p - 7*n, o = -n - 1. Find u such that 0*u**3 + 2*u**4 + u**3 - 6*u**p - 5*u**3 = 0.
-1, 0, 3
Let s(l) be the second derivative of l**5/15 - 7*l**4/6 + 4*l**3 + 66*l**2 + 90*l. Let m(t) be the first derivative of s(t). Factor m(z).
4*(z - 6)*(z - 1)
Let m(b) be the third derivative of b**8/1344 - 19*b**7/210 + 361*b**6/120 - 106*b**2. Find i such that m(i) = 0.
0, 38
Let o = -174 - -178. Let c be 5/((-35)/(-2)) + (-120)/(-315). Find x, given that -c*x**2 + 0 + x**3 + 5/3*x**o + 0*x = 0.
-1, 0, 2/5
Let a be ((-35)/(-14)*(-42120)/(-325))/10. Factor 36/5*y + 2/5*y**2 + a.
2*(y + 9)**2/5
Factor 305 + 381 + 308*x + 244*x + 3*x**2 + 406.
3*(x + 2)*(x + 182)
Suppose -72227*s**4 - 784 - 33243*s**4 - 68548*s**2 - 12136*s - 79004*s**3 + 2916*s**5 - 86290*s**3 - 34012*s**4 = 0. What is s?
-1/2, -2/9, 49
Suppose -139 = -11*w + 180. Suppose j + 5*l = w, -4*l + 62 = 4*j - 6. Determine f so that -2*f - 3 - 5 + 8 - 6*f**4 - 10*f**2 - j*f**3 = 0.
-1, -1/3, 0
Find f such that 3*f**3 - 416*f + 72 + 66*f**2 + 179*f + 96*f = 0.
-24, 1
Let c(i) be the second derivative of -i**7/42 + i**6/24 + 2*i**5/3 - 5*i**4/2 - 23*i**2 - 44*i. Let j(z) be the first derivative of c(z). Factor j(t).
-5*t*(t - 2)**2*(t + 3)
Let o(b) be the first derivative of b**6/105 - b**5/70 - b**4/21 + 171*b + 138. Let x(k) be the first derivative of o(k). Factor x(y).
2*y**2*(y - 2)*(y + 1)/7
Let t be (22/187)/(-1) - (-2376)/(-34). Let d be (t/(-4))/7 - (-9)/(-18). Solve -2/9*u + 2/9*u**3 - 4/9 + 4/9*u**d = 0.
-2, -1, 1
Let g(q) be the second derivative of -q**6/540 - 2*q**5/135 + 5*q**4/108 + 34*q**2 + 2*q - 1. Let l(s) be the first derivative of g(s). Factor l(o).
-2*o*(o - 1)*(o + 5)/9
Let x = -16 + 16. Let w = x - -20. Factor 9*j + 5*j**4 + 25*j**2 - w*j**3 - 37*j + 18*j.
5*j*(j - 2)*(j - 1)**2
Let s = 27493/25740 + 123/2860. Factor 2/9*u**3 - s*u**2 - 8/9 + 16/9*u.
2*(u - 2)**2*(u - 1)/9
Determine f so that -15345*f**2 - f**3 + 7644*f**2 + 624 + 7853*f**2 + 620*f = 0.
-2, 156
Suppose 6*v = v - r - 110, -4*v = -3*r + 88. Let j be 0 + (-4)/(-22) + (-84)/v. Solve 4*a**4 - 5*a**4 - j*a**4 + 5*a**5 = 0.
0, 1
Facto