rmine y, given that 8/17*y**4 - 8/17*y**3 - 2/17*y**5 + 10/17*y - o*y**2 - 4/17 = 0.
-1, 1, 2
Let r = -5601/17 - -50443/153. What is l in 0*l + r - 2/9*l**2 = 0?
-1, 1
Let x(j) = -53*j**4 - 59*j**3 + 150*j**2 + 254*j - 22. Let n(k) = 50*k**4 + 60*k**3 - 150*k**2 - 255*k + 25. Let d(m) = 6*n(m) + 5*x(m). Factor d(c).
5*(c - 2)*(c + 2)**2*(7*c - 1)
Suppose -30*k - 84 = -72*k. Let w be 320/24 + -9 - 1/3. Factor 0*u + 3/2*u**k + 0*u**3 + 0 - 3/2*u**w.
-3*u**2*(u - 1)*(u + 1)/2
Solve 52/5*d**2 - 2/5*d**5 + 4*d**4 - 16 - 62/5*d**3 + 56/5*d = 0 for d.
-1, 2, 5
Let t(s) = -2*s**3 - 26*s**2 + 5*s + 67. Let x be t(-13). Find d such that 59*d - 8246*d**x + 29 + 8277*d**2 + 2*d**3 - d**3 = 0.
-29, -1
Let r(v) be the first derivative of v**6/210 + 3*v**5/70 + 5*v**4/84 - 241*v + 193. Let j(d) be the first derivative of r(d). Find p such that j(p) = 0.
-5, -1, 0
Let o(w) = -6 - 5 + 15 - 5. Let i(m) = 4*m**2 + 12*m + 18. Let l(y) = -y**2 + y - 4. Let f be l(3). Let j(r) = f*o(r) - i(r). Determine h, given that j(h) = 0.
-2, -1
Let n(s) be the first derivative of -s**6/6 - 47*s**5/5 - 87*s**4/4 + 45*s**3 - 3477. Factor n(d).
-d**2*(d - 1)*(d + 3)*(d + 45)
Let t = -16666 - -16670. Let r(i) be the first derivative of 3*i**t - 24/5*i**5 + 39 - 2/3*i**3 + 0*i**2 + 0*i + 8/3*i**6. Solve r(v) = 0.
0, 1/2
Let s(p) = -43*p**4 - 109*p**3 - 682*p**2 - 1423*p - 1118. Let d(u) = -15*u**4 - 36*u**3 - 228*u**2 - 474*u - 372. Let m(h) = -17*d(h) + 6*s(h). Factor m(f).
-3*(f + 2)*(f + 4)**3
Let g = 335 - 336. Let h(t) = t**2. Suppose 0 = -3*a - 13 + 1. Let q(k) = -5*k**2 + 6*k - 9. Let f(l) = a*h(l) + g*q(l). Factor f(r).
(r - 3)**2
Let d(x) be the first derivative of -3*x**3 + 5*x**3 - 17*x**2 + 12*x - 3*x**3 - 8 + 17*x**2. Factor d(z).
-3*(z - 2)*(z + 2)
Let b(o) be the second derivative of 19/3*o**3 + 1/36*o**4 + 1083/2*o**2 - 1 + 6*o. Factor b(v).
(v + 57)**2/3
Let r(z) be the third derivative of -z**5/15 + 920*z**4/3 - 1692800*z**3/3 + 6*z**2 + 152*z. Let r(o) = 0. Calculate o.
920
Solve -5/2*b**4 + 1/10*b**5 - 17344/5*b - 517/5*b**3 - 5048/5*b**2 - 2560 = 0 for b.
-8, -1, 50
Let o = -210071 + 630215/3. Find k such that -o*k**3 + 0*k + 4/9*k**2 + 2/3*k**5 + 0 - 4/9*k**4 = 0.
-1, 0, 2/3, 1
Let v be 4/2512*(-12)/(-10). Let l = 16/157 - v. Find c such that 5/2 + l*c**3 + 3/2*c - 9/10*c**2 = 0.
-1, 5
Determine u so that 0 - 44/3*u + 2/3*u**3 + 14*u**2 = 0.
-22, 0, 1
Suppose 2*m + 19356 = 3*b - 4012, 38942 = 5*b - m. Factor -4*f + 452*f - 4*f**2 - 6685 - b + 1929.
-4*(f - 56)**2
Let y(d) be the second derivative of 1/120*d**4 - 1/20*d**3 + 13/2*d**2 + 0 + 1/600*d**5 - 11*d. Let q(v) be the first derivative of y(v). Factor q(f).
(f - 1)*(f + 3)/10
Suppose 86 = c + 2*a, -51 = -3*c + 5*a + 240. Let x be (-115)/c + (-3 - -8). What is g in -7/4*g - x*g**2 + 1/2 = 0?
-2/3, 1/5
Let y be 34*7*((-8)/(-16))/1. Let l = y + -114. Let 10*k - 2*k**l + 0*k - 3*k**5 + k**4 + 4*k**4 + 15*k**3 - 25*k**2 = 0. Calculate k.
-2, 0, 1
Let t(a) be the third derivative of 3*a**7/70 - 185*a**6/24 + 1621*a**5/60 - 503*a**4/24 - 101*a**3/3 + 2375*a**2. What is r in t(r) = 0?
-2/9, 1, 101
Let i(c) be the first derivative of 4/7*c**2 - 45 - 10/21*c**3 + 0*c + 1/14*c**4. Suppose i(p) = 0. Calculate p.
0, 1, 4
Let u(x) be the second derivative of -1 - 13/2*x**3 + 10*x + 29/12*x**4 - 1/4*x**5 - 9/2*x**2. Solve u(o) = 0.
-1/5, 3
Let b(n) = -n**3 + 7*n**2 - 12*n + 9. Let l be b(5). Let o be (2 - l)/3 - (-7 - -5). Let 0*k - 2/15*k**o + 0 - 4/15*k**2 = 0. What is k?
-2, 0
Let j(p) = -9*p + 35*p + 5 - 14 - 18 + 0*p**2 - 5*p**2. Let b(c) = -9*c**2 + 52*c - 53. Let l(o) = -6*b(o) + 10*j(o). Let l(x) = 0. What is x?
1, 12
Let i(p) = -p**3 + 16*p**2 - 10*p - 65. Let k be i(15). Factor -k*v**2 + 3*v**2 + 5*v**2 - 42*v.
-2*v*(v + 21)
Let y(u) be the second derivative of 44 + 2/3*u**2 + 1/27*u**4 + 8/27*u**3 + 2*u. Determine h, given that y(h) = 0.
-3, -1
Let t be (-2725)/13625*(-210)/8. Let -1/4*m**5 - t - 21/2*m**3 + 23/4*m**4 - 1/2*m**2 + 43/4*m = 0. Calculate m.
-1, 1, 21
Let m be ((-40)/(-14))/((-10)/(-175)). Let g = m - 30. Factor -g*u**2 - 11 + 32 - 5 - 8*u - u**4 + 8*u**3 + 5*u**2.
-(u - 4)**2*(u - 1)*(u + 1)
Let b(j) = j**2 - 70*j - 454. Let u = 2433 + -2357. Let g be b(u). Find m such that 0 + 4/9*m - 2/9*m**g = 0.
0, 2
Let x(q) be the third derivative of 259/330*q**5 + 0 - 97/66*q**4 - 3/220*q**6 + 0*q - 56/33*q**3 - 115*q**2. Let x(n) = 0. What is n?
-2/9, 1, 28
Let v(s) = 5*s**2 - 834*s - 9775. Let r be v(-11). Suppose 4/13*q**5 + 86/13*q**r - 44/13*q**3 + 0*q**2 + 0*q + 0 = 0. What is q?
-22, 0, 1/2
Let o be (48/(-10))/((-4)/10). Let n be o/(-9) + (-30)/(-9). Suppose -6 + 20*s**3 - 2 + 8*s**n + 16*s**3 - 36*s = 0. Calculate s.
-1, -2/9, 1
Let p = 164 + -100. Solve 16*d**5 + 62*d - 230*d - 30*d**4 + 152*d**3 - 36 - p*d**2 + 70*d**4 + 60*d**4 = 0 for d.
-3, -1, -1/4, 1
Determine b, given that 33*b**4 + 391*b**3 + 44061*b - 28 - 7*b**5 - 276*b**3 - 5*b**2 - 44169*b = 0.
-2, -1, -2/7, 1, 7
Let c(q) be the third derivative of -q**8/560 - q**7/25 + 241*q**6/200 + 7*q**5/50 - 6*q**4 + 228*q**2. Solve c(u) = 0.
-24, -1, 0, 1, 10
Let y(d) = 10*d**3 + 1555*d**2 + 120120*d - 121680. Let z(g) = 9*g**3 + 1555*g**2 + 120120*g - 121680. Let p(n) = 4*y(n) - 5*z(n). Factor p(f).
-5*(f - 1)*(f + 156)**2
Let y(z) be the third derivative of -17*z**2 - 3/32*z**6 + 1/32*z**4 + 0*z**3 + 7/40*z**5 + 0*z + 0. Factor y(d).
-3*d*(d - 1)*(15*d + 1)/4
Suppose 0 = -5*g + 55, 571*g - 569*g - 32 = -5*o. Factor 11*l + 121/2 + 1/2*l**o.
(l + 11)**2/2
Let r = -203949 + 611849/3. Solve -6*m - r*m**2 + 20/3 = 0 for m.
-10, 1
Let m(k) be the third derivative of -k**8/70560 + k**7/8820 + k**6/840 + 21*k**5/5 + 108*k**2 + 2. Let b(j) be the third derivative of m(j). Factor b(i).
-2*(i - 3)*(i + 1)/7
Let v(x) be the first derivative of 4/9*x**2 + 23 + 16/27*x**3 - 14*x + 7/54*x**4. Let w(h) be the first derivative of v(h). Let w(u) = 0. Calculate u.
-2, -2/7
Factor 24/7*x - 2*x**2 + 0 + 1/7*x**4 - 1/7*x**3.
x*(x - 3)*(x - 2)*(x + 4)/7
Suppose 1200 + 0 = 40*l. Let a be 22/12 + 5/l. Factor a - 1/3*n**2 - 5/3*n.
-(n - 1)*(n + 6)/3
Suppose -f + 13 = 2*q, 2265*q - 2267*q - 3*f = -31. Find s, given that 4/5 + q*s + 8/5*s**2 + 2/5*s**3 = 0.
-2, -1
Let j(z) = -z**5 - z**3 + 2*z**2. Let l(s) = 14*s**5 - 1020*s**4 + 63490*s**3 + 196580*s**2 + 198660*s + 66564. Let n(q) = 10*j(q) + l(q). Factor n(t).
4*(t - 129)**2*(t + 1)**3
Suppose 3*u + 2*m - 39 = 0, -31*m - 3 = 4*u - 32*m. Suppose -30*g - 12 - 15/2*g**4 + 9*g**2 + 39/2*g**u = 0. Calculate g.
-1, -2/5, 2
Let s(g) be the first derivative of -g**4/16 - 7*g**3 + g**2/8 + 21*g + 1255. Let s(m) = 0. Calculate m.
-84, -1, 1
Let m = -587 - -620. Let v be ((-8)/(-44))/(12/m). Factor 1/2*d + 1/2*d**4 + 1 - 3/2*d**2 - v*d**3.
(d - 2)*(d - 1)*(d + 1)**2/2
Let a(d) be the third derivative of -2*d**2 + 0 - 2/3*d**3 + 1/90*d**5 + 41*d - 5/36*d**4. Factor a(g).
2*(g - 6)*(g + 1)/3
Let n(t) be the second derivative of -7/39*t**3 + 1/130*t**5 + 4*t + 0*t**4 - 2 - 6/13*t**2. Factor n(j).
2*(j - 3)*(j + 1)*(j + 2)/13
Factor 7/3*m - 8/3*m**2 + 0.
-m*(8*m - 7)/3
Suppose -2*g + 15 = 3*g - 2*i, 3*g + i - 9 = 0. Factor 2*r**2 - 7 + r**3 - r**3 - r**g + 7.
-r**2*(r - 2)
Suppose -4*l = -248*x + 253*x - 18, 0 = 3*x - 3*l. Factor -8/5*p**3 - 24/5*p**x + 64/5*p + 2/5*p**4 + 128/5.
2*(p - 4)**2*(p + 2)**2/5
Let k = -7528 + 7530. Let o(f) be the first derivative of 4/3*f**3 + k*f**2 - 13 + 0*f. Factor o(s).
4*s*(s + 1)
Let v be 9/(-22) + (-1)/(-2). Suppose 0 = 3*w - 42, a - 4808 = 3*w - 4848. Determine u so that 1/11 - v*u**a - 1/11*u**3 + 1/11*u = 0.
-1, 1
Factor 153 - 1/2*k**2 + 305/2*k.
-(k - 306)*(k + 1)/2
Factor -20 - 255/4*q**2 + 245/4*q - 5/4*q**4 + 95/4*q**3.
-5*(q - 16)*(q - 1)**3/4
Suppose -137*f - 65*f - 303 = -61*f - 585. Suppose -27*g**f - 99/2*g - 3/2*g**3 - 24 = 0. Calculate g.
-16, -1
Suppose 73*i**3 + 45*i - 76*i**3 - 26*i**2 + 88*i + 857*i - 31*i**2 = 0. Calculate i.
-30, 0, 11
Let b = 256/1197 - -10/1197. Let m(f) be the first derivative of -b*f**3 + 8 + 7/3*f**2 - 4*f. Factor m(y).
-2*(y - 6)*(y - 1)/3
Factor 2/9*i**4 + 0*i**2 + 0*i + 0 - 548/9*i**3.
2*i**3*(i - 274)/9
Let c = 787 - 790. Let i be ((-5)/c)/((-10)/(-8)). Solve -i*j - 38/3*j**3 + 0 + 24*j**4 - 10*j**2 = 0.
-1/4, -2/9, 0, 1
Let s(p) be the first 