= 20. Solve -8*y + 4*y**2 + 11*y**4 - 25*y**4 + 10*y**z + 10*y**3 + 2*y**3 - 4*y**5 = 0.
-2, -1, 0, 1
Suppose -42 = -3*z + 4*b, 5*z - 247*b = -250*b + 41. Solve 1/3*x**2 + z*x + 75 = 0.
-15
Let l(t) be the third derivative of 0 - 37*t**2 + 5/2*t**4 + 97/30*t**5 + 0*t - 64/3*t**3 + 1/20*t**6. Factor l(k).
2*(k + 1)*(k + 32)*(3*k - 2)
Suppose 4*z - 41 + 33 = 0. Factor 129 - w**2 + 129 - 250 - z*w.
-(w - 2)*(w + 4)
Let l(q) be the third derivative of -5*q + q**2 - 48/13*q**3 + 0 - 49/390*q**5 - 14/13*q**4. Factor l(p).
-2*(7*p + 12)**2/13
Let j be ((-2)/(-2)*4)/2. Suppose 4 + 21 = 5*b, 3*g - 3*b - 9 = 0. Factor 2*m - g*m**4 - j*m + 7*m**4 - 4*m**2 - 4*m**3.
-m**2*(m + 2)**2
Let f(b) be the second derivative of -2*b**7/21 + 6*b**6/5 + 3*b**5/5 - 29*b**4/3 + 12*b**3 - 2*b + 361. Suppose f(j) = 0. Calculate j.
-2, 0, 1, 9
Let g(q) = -50*q**3 - 325*q**2 - 605*q + 2415. Let v(t) = 13*t**3 + 81*t**2 + 154*t - 604. Let y(u) = -4*g(u) - 15*v(u). Find o such that y(o) = 0.
-15, -4, 2
Factor -542 - s**4 + 46794 - 865 - 30996*s + 244*s**3 - 14634*s**2.
-(s - 123)**2*(s - 1)*(s + 3)
Factor -183*a**2 - 8*a**3 - 214*a**2 + 60*a + a**4 + 414*a**2 - 2*a**4 - 108.
-(a - 2)**2*(a + 3)*(a + 9)
Let h(c) = c**2 + 7*c + 14. Let j be h(-3). Determine z, given that 2*z**3 - 6*z - 156*z**2 + 36 + 304*z**2 - 156*z**j = 0.
-2, 3
Let f(y) = 5576*y + 11154. Let t be f(-2). Find i such that -10*i**t + 2/3*i**4 + 46/3*i - 20/3 + 2/3*i**3 = 0.
-5, 1, 2
Suppose 10*j - 30 = 70. Suppose 8 = -x + j. Factor 7 + 1 - 9*h**x - 12*h + 4.
-3*(h + 2)*(3*h - 2)
Suppose 22*j + 32 + 34 = 0. Let y be j/(3*8/(-16)). Factor 40/9*t + 8/9 + 2*t**y.
2*(t + 2)*(9*t + 2)/9
Let r(n) be the third derivative of -13*n**6/360 + 53*n**5/180 - 7*n**4/9 + 2*n**3/9 - 2*n**2 - 647*n. Factor r(a).
-(a - 2)**2*(13*a - 1)/3
Factor 398/19*n**2 + 2/19*n**3 + 19998/19*n + 19602/19.
2*(n + 1)*(n + 99)**2/19
Let b be 65*(22 - 18864/858). Find k, given that -b*k + 12/11 + 2/11*k**2 = 0.
2, 3
Let b(a) = -3*a**3 + 12*a**2 + 43*a + 23. Let x(u) = -2*u - 1. Let p(z) = -b(z) - 5*x(z). Factor p(k).
3*(k - 6)*(k + 1)**2
Let r(u) = -u**2 + u + 20. Let i be ((-19)/(-76))/((-2)/(-40)). Let h be r(i). Find s such that 1/2*s**4 - 3*s**2 + h*s + 0 - 5/2*s**3 = 0.
-1, 0, 6
Let b = 11257/44868 + -10/11217. Suppose -5/2 - 3/4*k + b*k**2 = 0. Calculate k.
-2, 5
Let i be 34722/4501*(-12)/(-162). Factor i*x**5 + 6/7*x**4 + 0*x**2 + 2/7*x**3 + 0*x + 0.
2*x**3*(x + 1)*(2*x + 1)/7
Suppose -456*x + 458*x + 14 = 3*u, 15 = 5*u + 5*x. Let j(r) be the second derivative of 0 + 2/45*r**3 + r - 1/15*r**2 - 1/90*r**u. What is l in j(l) = 0?
1
Let o(k) be the first derivative of -7*k**6/3 - 354*k**5/5 + 321*k**4/2 - 166*k**3/3 - 54*k**2 - 1410. Determine s, given that o(s) = 0.
-27, -2/7, 0, 1
Factor 269*n**2 + 0*n**4 - 301*n**2 - 24*n**3 + 2*n**4 + 197*n + 8*n**4 - 69*n - n**5.
-n*(n - 4)**3*(n + 2)
Let z = -3882 - -1642. Let m be (-2968)/z - 12/10. Determine o, given that -m*o**2 + 0*o + 0 = 0.
0
Solve 3838*s**2 - 5*s**5 - 50 - 4028*s**2 + 8*s**3 + 72*s**3 + 165*s = 0 for s.
-5, 1, 2
Solve -98 - 179 - 436*p + 436*p**3 + 3*p**4 + 852*p**2 + p**4 - 579 = 0 for p.
-107, -2, -1, 1
Let j(m) be the third derivative of 0*m + 6/5*m**4 - 864/5*m**3 + 110*m**2 - 1/300*m**5 + 0. Determine l, given that j(l) = 0.
72
Let u(r) = r**3 - 42*r**2 - 599*r. Let b(j) = -40*j**2 - 600*j. Let i(w) = -4*b(w) + 5*u(w). Determine g so that i(g) = 0.
-7, 0, 17
What is b in -69*b + 420 - 142*b**2 + 36*b**2 + 32*b**2 + 39*b**2 + 32*b**2 = 0?
-28, 5
Let v = 315937 + -1579684/5. Find k, given that 25 + 15*k + v*k**3 + 3*k**2 = 0.
-5
Let j(p) be the second derivative of 0*p**4 + 0*p**2 - 5/42*p**7 - 1/4*p**5 + 0*p**3 - 28 + 2*p + 1/3*p**6. Factor j(z).
-5*z**3*(z - 1)**2
Let n(y) be the first derivative of y**4/6 - 80*y**3/9 + 512*y**2/3 - 4096*y/3 + 241. Factor n(i).
2*(i - 16)**2*(i - 8)/3
Suppose 0 + 4*a**2 - 8/7*a + 36/7*a**3 = 0. What is a?
-1, 0, 2/9
Let g(w) be the second derivative of w**4/15 + 638*w**3/15 + 1896*w**2/5 - 7209*w. Factor g(z).
4*(z + 3)*(z + 316)/5
Let n be 28/(-60)*2124/(-1239). Let m be 18/(-35)*28/(-6). Find f, given that 0 - 16/5*f**2 + n*f**3 + m*f = 0.
0, 1, 3
Factor 0 - 2/5*z - 29/10*z**2.
-z*(29*z + 4)/10
Let i = 371129/4 + -92771. Suppose -5*r - 45/2*r**2 - 5/4*r**4 + 30 + i*r**3 = 0. What is r?
-1, 2, 6
Let n(d) = -3*d**2 + 30*d - 15. Let g be n(7). Suppose -910 - 5*u**4 - 88*u**2 - g*u**3 + 336*u + 714 + u**4 = 0. What is u?
-7, 1
Let d = 91/253 - 27/46. Let x = d - -8/11. What is o in -x*o - 1 + 15/2*o**2 + 7/2*o**4 - 19/2*o**3 = 0?
-2/7, 1
Factor -2/5*o**2 + 58*o - 288/5.
-2*(o - 144)*(o - 1)/5
Let l be (4 + (-3)/2)/(9/18). Let w(g) be the first derivative of -2*g**6 + 24 + 0*g**2 - 2*g**4 + 28/5*g**l + 0*g**3 + 0*g. Factor w(s).
-4*s**3*(s - 2)*(3*s - 1)
Suppose 3*y = -3 + 15. Factor 6*f**2 + f**y - 2*f**3 - 10*f**3 - 5*f**4 - 14*f**2.
-4*f**2*(f + 1)*(f + 2)
Suppose -5*m - 5*q = 5, -5*m + 5 = -2*m - q. Suppose -18*v - k = -17*v - m, -5*v = 4*k - 8. Factor 5/2*c**2 - 1/2*c**3 + 2 - v*c.
-(c - 2)**2*(c - 1)/2
Let h(b) be the second derivative of -1/35*b**5 + 2/21*b**3 + 12*b + 1/28*b**4 + 1/210*b**6 - 2/7*b**2 - 1. Factor h(t).
(t - 2)**2*(t - 1)*(t + 1)/7
Factor -196/5*x - 2/5*x**2 + 0.
-2*x*(x + 98)/5
Let y be (13448/615)/82*35. Factor 5*z**2 + y*z + 13/12*z**3 + 16/3 + 1/12*z**4.
(z + 1)*(z + 4)**3/12
Suppose -5*a - 70 = -5*m, -4*a = -3*m + m + 38. Let q be (-6)/(-52)*-2*(-6)/m. Determine k, given that 4/13*k**4 - 2/13*k**3 - q*k**5 + 0*k**2 + 0 + 0*k = 0.
0, 1
Let y(q) = 32118*q + 160593. Let d be y(-5). Find j, given that 17/5*j - 1/5*j**3 + d + 1/5*j**2 = 0.
-3, -1, 5
Let n = 2024 + -2021. Suppose 38*g = 37*g + n. What is q in -24/7*q + 30/7*q**2 - 8/7 - 8/7*q**g = 0?
-1/4, 2
Let u(m) be the first derivative of 4*m**6/5 - 122*m**5/25 + 97*m**4/20 + 13*m**3/5 - 23*m**2/5 + 8*m/5 + 4684. Determine z so that u(z) = 0.
-2/3, 1/4, 1/2, 1, 4
Let s be (-27)/(-99) - (89525/3575 + -26). Solve 2/13*h**3 + 4/13*h**2 - 8/13*h - s = 0.
-2, 2
Let u(b) be the first derivative of 68*b**6/3 + 324*b**5 + 1052*b**4 - 2304*b**3 - 9504*b**2 + 1728*b + 3375. Find y, given that u(y) = 0.
-6, -2, 3/34, 2
Let f = -9 - -10. Let p be (-4)/(-15) + (-204)/180 + f. Factor p*j**3 - 2/15*j**2 - 2/15*j + 2/15*j**4 + 0.
2*j*(j - 1)*(j + 1)**2/15
Let y(i) be the third derivative of -i**6/150 - 181*i**5/75 - 237*i**4/10 - 354*i**3/5 + 2*i**2 + 733*i - 1. Determine n so that y(n) = 0.
-177, -3, -1
Let o(c) be the third derivative of c**6/480 + 9*c**5/80 + 37*c**4/48 + 2*c**3 + 13*c**2 + 8*c + 9. Factor o(q).
(q + 1)*(q + 2)*(q + 24)/4
Let u(t) be the first derivative of -t**6/2 - 15*t**5 - 321*t**4/4 - 143*t**3 - 90*t**2 - 3105. Determine f so that u(f) = 0.
-20, -3, -1, 0
Let g(a) be the second derivative of a**7/14 - 2*a**6/5 - 12*a**5/5 + 4*a**4 + 24*a**3 - 1777*a + 2. Determine t, given that g(t) = 0.
-2, 0, 2, 6
Let q = -2835566/3 + 945192. Factor 8 + 1/3*r**2 + q*r.
(r + 4)*(r + 6)/3
Factor -60 + 69*g**3 - 74*g**3 + 384*g**2 - 80*g - 419*g**2.
-5*(g + 2)**2*(g + 3)
Suppose -3*y + 60 = 12*y. Determine b, given that 0 + 45*b**y + 10*b**3 - 47*b**4 - 16*b**2 + 0 + 8*b = 0.
0, 1, 2
Let p be (-104)/5*6/60228*-415. Let c = p + -2/717. Determine n so that 3/7*n - 3/7 + c*n**2 = 0.
-1, 1/2
Let a(p) = 3*p**2 - 14*p + 21*p + 1 - 6*p + 2*p**2. Let x be a(1). Let -x*l**2 + 7*l + 8*l - l**3 + 2*l**3 - 9 = 0. Calculate l.
1, 3
Let m be (12/(-98))/(405674/6440 - 63). Factor 12/7*f + 363/7*f**4 - m*f**2 + 33*f**3 + 0.
3*f*(f + 1)*(11*f - 2)**2/7
Let f(u) be the first derivative of 0*u**2 + u**4 + 0*u + 2/3*u**6 - 57 + 0*u**3 + 8/5*u**5. Factor f(t).
4*t**3*(t + 1)**2
Let b be (-1240)/465*27/30*-1. Let 1/5*l**2 - b*l - 13/5 = 0. What is l?
-1, 13
Let a(n) be the second derivative of 2*n**7/147 - 8*n**6/105 - 2*n**5/35 + 8*n**4/21 + 2*n**3/21 - 8*n**2/7 - n - 565. Determine u, given that a(u) = 0.
-1, 1, 4
Suppose 15 = 3*j, 0 = -i - 4*j - 679 + 704. Let l(s) be the first derivative of 15/2*s**2 - i*s + 5/4*s**4 - 5*s**3 + 11. Determine m, given that l(m) = 0.
1
Let m(n) = -5*n**2 - 11*n - 7. Let p(t) = -2*t + 6 + 6*t**2 + 24*t - 12*t. Let g = -3 - 4. Let l(o) = g*p(o) - 6*m(o). Suppose l(s) = 0. Calculate s.
-1/3, 0
Let u(p) be the third derivative of -p**7/105 - 4*p**6/15 + 49*