0.
-2, -1, 4
Let j(a) be the first derivative of a**6/24 - a**5/10 - 3*a**4/16 + a**3/3 + a**2/2 + 1890. Factor j(s).
s*(s - 2)**2*(s + 1)**2/4
Let v(z) be the third derivative of z**7/42 + z**6/12 - 13*z**5/3 + 235*z**4/12 - 75*z**3/2 - 17*z**2 + 7. Factor v(p).
5*(p - 5)*(p - 1)**2*(p + 9)
Let r = 530 + -486. Suppose 2*q + 48 = 4*b + r, 6 = 3*q. Factor -y + 0 - 1/2*y**4 + y**3 + 1/2*y**b.
-y*(y - 2)*(y - 1)*(y + 1)/2
Let o(i) be the first derivative of -136*i**3/3 - 2*i**2 + 1802. Suppose o(k) = 0. Calculate k.
-1/34, 0
Let w(f) be the first derivative of -50*f**5 - 250*f**4 - 440*f**3 - 352*f**2 - 128*f - 237. Solve w(g) = 0 for g.
-2, -4/5, -2/5
Factor -2/21*m**2 + 268/21 + 130/21*m.
-2*(m - 67)*(m + 2)/21
Let l(w) = -2*w**2 - 213*w + 6. Let o(t) = -3*t**2 - 213*t + 8. Let k(c) = -4*l(c) + 3*o(c). Factor k(d).
-d*(d - 213)
Let m = 347 - 327. Find x, given that -35*x + 2*x**2 - 7*x**2 + 129*x + 71*x + 190 - m = 0.
-1, 34
Let n(s) be the third derivative of s**6/1440 + 3*s**5/160 + 23*s**3 - 2*s**2 - 5*s. Let g(l) be the first derivative of n(l). Find f, given that g(f) = 0.
-9, 0
Factor 1/6*y**3 + 113/2*y**2 + 4760*y - 14450/3.
(y - 1)*(y + 170)**2/6
Factor -14*d**2 - 245/2*d + 1/2*d**3 + 0.
d*(d - 35)*(d + 7)/2
Let j = 437 - 435. Determine h, given that -331*h**j + 662*h**2 + 0 - 60*h + 0 - 327*h**2 = 0.
0, 15
Let g be 9/((-243)/(-18)) + (-2)/(-6). Let q be (-5 - g)/(3 + (-348)/64). Solve -2/13*b**2 + 16/13*b - q = 0.
4
Let h(x) be the first derivative of x**4/4 - 115*x**3/3 + 227*x**2/2 - 113*x - 2996. Let h(n) = 0. Calculate n.
1, 113
Let d(m) be the second derivative of -m**6/135 - m**5/18 - m**4/27 + 8*m**3/27 - 89*m + 5. Factor d(r).
-2*r*(r - 1)*(r + 2)*(r + 4)/9
Suppose -3*u = -2*f - 688, 3*u - 50 = 4*f + 636. Factor -4*h**3 - u*h - 132*h**2 - 65*h + 1156 - 725*h.
-4*(h - 1)*(h + 17)**2
Suppose 0 = 51*y + 510*y + 4313 - 5435. Let 3/4*u**3 + 3/2*u + 15/4*u**y + 0 - 15/4*u**4 - 9/4*u**5 = 0. Calculate u.
-1, -2/3, 0, 1
Let l be (20 - 11772/585)*-85. Suppose 214/13*r**2 - l*r - 116/13*r**3 + 14/13*r**4 + 24/13 = 0. What is r?
2/7, 1, 6
Let -793 - 329 + 385*a + 549*a + 190 - 2*a**2 = 0. What is a?
1, 466
Let h = 37224 + -37220. Factor -3/2*o**2 - 2*o + 2*o**3 - 1/4*o**h + 7/4.
-(o - 7)*(o - 1)**2*(o + 1)/4
Let v(g) be the second derivative of -g**5/20 - g**3/6 + g**2/2 - 17*g. Let r(i) = i**4 + 3*i**3 - i**2 + 5*i - 4. Let l(a) = -r(a) - 4*v(a). Factor l(f).
-f*(f - 1)**2*(f + 1)
Let b(w) = 41*w**3 - 21*w + 20. Let h be b(1). Let 25 - 5*l - 50*l**2 - h*l**4 - 5*l**5 + 65*l**4 + 78*l**3 - 68*l**3 = 0. Calculate l.
-1, 1, 5
Let t(l) be the third derivative of 2*l**5/135 - 19*l**4/108 - 275*l**3/27 - 1058*l**2 - l - 3. Factor t(c).
2*(c - 11)*(4*c + 25)/9
Let g = 10834/945 - 806/189. Find s, given that -18/5*s**3 + g*s**2 + 0 - 24/5*s + 3/5*s**4 = 0.
0, 2
Let l(z) = -1 + 69*z**2 - 72*z**2 + 0*z - z. Let r(m) = 10*m**2 - 26*m - 24. Let c(x) = 4*l(x) + r(x). Factor c(u).
-2*(u + 1)*(u + 14)
Let a = 52718/16465 + -6/3293. Determine c, given that 12/5 - 2/5*c**3 + a*c**2 - 26/5*c = 0.
1, 6
Factor 1786/9*b**2 + 75088/9*b - 98/9*b**4 - 1286/9*b**3 - 2/9*b**5 - 219488/9.
-2*(b - 4)**2*(b + 19)**3/9
Let y(b) be the first derivative of 2/3*b**3 - 3/4*b**4 + 7/2*b**2 - 73 + 2*b. Solve y(v) = 0.
-1, -1/3, 2
Let x = -856 - -853. Let m be (-117)/504 - x/8. Let -12/7*c - m*c**2 - 36/7 = 0. Calculate c.
-6
Suppose -5*l + 83 = -2. Factor -219*x**2 + 33*x**3 + 16 - 50 - 21*x**3 + 109*x - l + 149*x.
3*(x - 17)*(x - 1)*(4*x - 1)
Suppose 27*u - 58 = 26*u. Find i such that -27*i**2 - u*i + 36*i**2 - 2*i**3 + 23*i**2 + 28 = 0.
1, 14
What is z in 808*z + 87869 - 3*z**2 + 64155 + 30127 + 4*z**2 - 18935 = 0?
-404
Let u(g) = g**2 - 96. Let t be u(10). What is f in -2*f**3 - f**3 + 8*f**3 + 8*f**5 - 8*f - f**4 + t - 9*f**5 + f**2 = 0?
-2, 1
Factor -4/9*m**2 - 2/9*m**3 + 0*m + 0.
-2*m**2*(m + 2)/9
Factor 1/3*p**4 - 1/3*p**2 - 2*p**3 + 10*p + 0.
p*(p - 5)*(p - 3)*(p + 2)/3
Let f = 5427/4348 - -2/1087. Let x(u) = u**2 - 1. Let l be x(-2). Factor -1/2 - i**2 - f*i - 1/4*i**l.
-(i + 1)**2*(i + 2)/4
Let r be -8 + (2/3)/(29/(-174)). Let u(m) = 104*m**4 - 20*m**3 - 276*m**2 + 250*m - 64. Let a(i) = i**4 - i**3 - i. Let q(y) = r*a(y) + 2*u(y). Factor q(s).
4*(s - 1)*(s + 2)*(7*s - 4)**2
Let j = -67 + 70. Factor 3 + 2177*f - 33 - 2211*f - f**3 + 3*f**j - 2*f**2.
2*(f - 5)*(f + 1)*(f + 3)
Suppose -23*n + 3 = -22*n. Let o be n - 16/20 - (-3)/(-15). Factor 1/4*v**3 + 0 + 1/4*v**o + 0*v.
v**2*(v + 1)/4
Let g be 5 - -3*(-9)/27. Factor 4*m**4 - 7*m**4 + 5*m**3 + 11*m**2 + 3*m**g + 6*m + m**4 + m**3.
m*(m + 1)*(m + 2)*(m + 3)
Let b(l) be the second derivative of -l**7/14 - l**6/5 + 33*l**5/5 - 19*l**4/2 - 43*l**3/2 + 60*l**2 - 617*l. What is q in b(q) = 0?
-8, -1, 1, 5
Suppose 5*z + 69 = 2*f, 0 = -2*z - 4 + 2. Solve -6 + 707*y + f*y**2 - 2 - 647*y = 0.
-2, 1/8
Let i be (6/(-147))/((-15640)/76636). Factor 0 + 0*u - 4/5*u**2 - 3/5*u**3 + i*u**4.
u**2*(u - 4)*(u + 1)/5
Determine u, given that 3236*u**2 - 9752427*u + 4196841719 - u**3 + 1664366908 + 2173*u**2 = 0.
1803
Let k(a) be the first derivative of a**6/16 - 3*a**5/8 - 63*a**4/32 + 29*a**3/8 + 24*a**2 + 63*a/2 + 3411. What is j in k(j) = 0?
-2, -1, 3, 7
Let d = -9889879/51 - -193927. Let n = 144/17 - d. Factor n + 2/9*y - 2/3*y**2 - 2/9*y**3.
-2*(y - 1)*(y + 1)*(y + 3)/9
Let w(i) be the third derivative of -i**7/75 + 83*i**6/600 + 17*i**5/300 - 31*i**4/60 - 4*i**3/5 - 2*i**2 - 1003*i. Determine h so that w(h) = 0.
-4/7, -1/2, 1, 6
Let l(i) = 2*i**2 + 1. Let a(v) = 4*v**2 + 104. Let k be 5*(-16)/20*(2 - 1). Let o(u) = k*l(u) + a(u). Determine f, given that o(f) = 0.
-5, 5
Let i(r) = 17*r**3 + 12179*r**2 - 24487*r + 12183. Let q(n) = -36*n**3 - 24357*n**2 + 48991*n - 24364. Let c(b) = 13*i(b) + 6*q(b). Factor c(h).
5*(h - 1)**2*(h + 2439)
Let r(d) be the third derivative of 0*d**3 + 0 + 1/21*d**7 + 25/6*d**4 + 0*d + 207*d**2 + 5/336*d**8 - 5/8*d**6 + 1/3*d**5. Suppose r(o) = 0. What is o?
-5, -1, 0, 2
Let z(v) be the second derivative of -v**7/39 + 8*v**6/39 - 23*v**5/130 - 5*v**4/39 + 408*v + 3. Determine f so that z(f) = 0.
-2/7, 0, 1, 5
Suppose -4*b - 20 = 0, -r + 5*b + 33 = 3*r. Find h such that -84*h - 392 + 30*h**2 - 11*h**r + 29*h**2 - 4*h**3 = 0.
-2, 7
Factor -190*y**3 + 297*y**4 - 179*y**3 - 199*y**3 + 544*y**3.
3*y**3*(99*y - 8)
Suppose -5*g + 14 = 9*x + 29, 5*x + g = -3. Solve -1/5*p**4 + 1/5*p**2 + 1/10*p**5 + x + 0*p**3 - 1/10*p = 0 for p.
-1, 0, 1
Let x be (25/(-2))/5*(-156)/65. Let z(l) be the second derivative of -12*l + 0 - 5/3*l**3 + 0*l**2 - 5/12*l**4 + 1/6*l**x + 1/2*l**5. Let z(c) = 0. What is c?
-2, -1, 0, 1
Let c(k) be the second derivative of -k**5/4 + 55*k**4/12 - 20*k**3/3 - 50*k**2 - 1672*k. Let c(t) = 0. Calculate t.
-1, 2, 10
Let p(b) = -4*b - 2. Let v be p(-1). Suppose -v*f + 3*f = 21. Let -f - 2 + 3*w**2 + 2*w**2 - 2 - 20*w = 0. What is w?
-1, 5
Let l(h) be the first derivative of 3/2*h**2 - 2/3*h**3 - 1/4*h**4 - 29 + 0*h. What is z in l(z) = 0?
-3, 0, 1
Let v(n) be the third derivative of 20*n**2 + 0*n**3 + 0 - 5/8*n**4 + 1/5*n**5 + n + 1/40*n**6. Factor v(x).
3*x*(x - 1)*(x + 5)
Let i = 37516084/153 - 245204. Let n = 18/17 + i. Determine m so that 2/3*m**4 + 4/3*m - 1/9*m**5 - 8/9 + n*m**2 - 11/9*m**3 = 0.
-1, 1, 2
Let v(m) = 8*m**2 - 17*m + 65. Let o be v(3). Suppose k = p, 0 = -o*p + 86*p - 5*k. Determine i so that -5/4*i**4 + 5/2*i**2 + 0*i + p*i**3 - 5/4 = 0.
-1, 1
Let s = 279 + -272. Suppose 2*v**4 + 6*v + 26*v**3 - 58*v**3 + s*v**2 + 23*v**3 = 0. What is v?
-1/2, 0, 2, 3
Let u = 36641 - 36638. Factor -2/15*s**2 + 0 - 2/15*s**u + 4/5*s.
-2*s*(s - 2)*(s + 3)/15
Let d(m) be the third derivative of 1/40*m**6 + 5*m**2 + 0 - 1/3*m**3 - 1/8*m**4 - 1/105*m**7 - m + 1/15*m**5. Let d(v) = 0. Calculate v.
-1, -1/2, 1, 2
Factor -9*k**3 + 36*k + 1/2*k**4 - 22*k**2 + 80.
(k - 20)*(k - 2)*(k + 2)**2/2
Let d(x) = x**3 - 8*x**2 + 13*x - 10. Let m be d(6). Let r be (m - 172/(-42)) + 24/42. Solve 4/3 + 2*f + r*f**2 = 0.
-2, -1
Suppose 28*p + 4*t = 32*p - 48, 5*p - 58 = 3*t. Let 3600 + 20*c + 209*c + p*c + 4*c**2 = 0. Calculate c.
-30
Let r(o) = -6*o**3 - 32*o**2 + 188*o - 312. Let w(g) = 7*g**3 + 33*g**2 - 179*g + 310. Let t(y) = -5*r(y) - 4*w(y). Suppose t(p) = 0. What is p?
-20, 2, 4
Let b be 7640/573*(-48