Determine y so that o(y) = 0.
-1, 0, 1
Let p be (10*4/8)/1. Let x be ((-4)/4 + 3)*p/(-2). Let u(j) = 6*j**2 - 3*j + 12. Let v(g) = 7*g**2 - 2*g + 13. Let f(b) = x*v(b) + 6*u(b). Factor f(z).
(z - 7)*(z - 1)
Suppose 4658*t = 4665*t - 238. Let c be 108/t*-3 + 10. Factor -c + 22/17*z**2 + 40/17*z.
2*(z + 2)*(11*z - 2)/17
Let n be (1/(-14))/(1/4) - ((-1254)/77 - -14). Let -55*z**3 - 95/2*z**n + 15/2*z**4 + 55*z + 40 = 0. What is z?
-1, -2/3, 1, 8
Let s(p) be the second derivative of -p**6/270 + p**5/15 - 112*p**3/3 + 257*p. Let m(k) be the second derivative of s(k). What is y in m(y) = 0?
0, 6
Suppose -2*k - 18 = 0, -3*k + 66 = 4*h + 73. Determine o so that -10/3*o**3 + 2/3*o**4 + 4/3*o**h + 0*o + 4/3*o**2 + 0 = 0.
-2, 0, 1/2, 1
Solve 18*m**5 - 582*m**3 - 128/3 - 558*m**4 + 562/3*m**2 + 452/3*m = 0 for m.
-1, -2/3, 1/3, 32
Suppose 0 = 3*w - 2*d - 19, -2*d + 3*d = 3*w - 14. Suppose 5*p - 13 = -6*u + 3*u, -p + 5*u + 25 = 0. Factor 15 - 382*q**3 - p + 20*q**2 - 25*q + 377*q**w.
-5*(q - 2)*(q - 1)**2
Let v(y) = 2*y**2 + 12*y - 14. Let c be v(-7). Solve -3*z**3 + 2*z + c*z**3 + 4*z**3 - 3*z = 0.
-1, 0, 1
Let n(f) = -339*f + 1698. Let j be n(5). Let t(w) be the first derivative of 7 - 1/24*w**j - 1/32*w**4 + 0*w + 0*w**2. Factor t(d).
-d**2*(d + 1)/8
Let z be ((-12)/(-64)*-2)/((-270)/2160). Let n = -1 - -3. Factor 12/5*q + 3/5*q**z - 3*q**n + 0.
3*q*(q - 4)*(q - 1)/5
Let t be (426/(-216) + 2)/(3 - (-32)/(-12)). Let s(a) be the first derivative of -t*a**3 - 15 - 1/4*a - 1/4*a**2. Solve s(h) = 0.
-1
Let g(q) be the third derivative of q**7/280 - 11*q**6/160 + 3*q**5/10 + 9*q**4/8 - 56*q**2. Factor g(n).
3*n*(n - 6)**2*(n + 1)/4
Let s be (18 + -40)/(2/(-32)). Suppose 4*h = 2*n - 352, -n - 2*h + s = n. Factor -88*o**3 - 87*o**3 - o + n*o**3.
o*(o - 1)*(o + 1)
Suppose 4*g - 2*g = -4, -5*h + 2*g + 3949 = 0. Let v = -787 + h. Factor -1/5*c**v + 0 - 1/5*c**3 + 0*c.
-c**2*(c + 1)/5
Let v be -5 + 4 - 2 - (-8 - -3). Factor 4*q**v + 42*q - 12 - 16*q + 21*q + 0.
(q + 12)*(4*q - 1)
Let t(o) be the first derivative of -2*o**3/9 - 259*o**2/3 - 1646. Let t(l) = 0. Calculate l.
-259, 0
Let z(j) be the third derivative of j**5/160 - 71*j**4/32 - 143*j**3/16 - j**2 - 820*j. Solve z(t) = 0.
-1, 143
Let c(s) be the second derivative of 1/30*s**5 + 9*s - 23*s**2 + 1/4*s**4 + 0 - 4/3*s**3. Let g(y) be the first derivative of c(y). Solve g(p) = 0.
-4, 1
Let t = -32 + 34. Factor 5*v**5 + 25*v**4 + 0*v**5 - 1125*v**t + 40*v**3 + 1145*v**2.
5*v**2*(v + 1)*(v + 2)**2
Suppose 110 = -0*k + 4*k - 3*u, -24 = -k - u. Let y be (-8)/(3*44/(-33)). Factor 98*m**4 - 25*m**3 + 42*m**3 + 39*m**3 - k*m**2 + 34*m**y.
2*m**2*(7*m + 2)**2
Let y(j) = -16*j**2 + 108*j + 208. Let d(r) = -450 + 46*r**2 - 229*r - 174 - 93*r. Let i(z) = 6*d(z) + 17*y(z). Factor i(l).
4*(l - 26)*(l + 2)
Let -1/3*l**2 - 591*l - 1772/3 = 0. Calculate l.
-1772, -1
Let b be (6496/(-840))/((33/220)/((-29)/8)). Let -b*d**2 + 232/9*d - 8/9 = 0. What is d?
2/29
Let f(u) = -9*u**2 + 655*u + 6396. Let i(v) = 29*v**2 - 1960*v - 19191. Let j(b) = -7*f(b) - 2*i(b). Solve j(l) = 0 for l.
-9, 142
Factor -396*p**4 - 28*p**3 + 18*p**3 - 50*p + 65*p**2 + 391*p**4.
-5*p*(p - 2)*(p - 1)*(p + 5)
Suppose -75 = -3*s + 2*c, 9*s - 4*s - 125 = c. Let m be 260/s + -4 + -4. Factor 0 - m*r**3 + 8/5*r + 12/5*r**2 - 28/5*r**4 - 12/5*r**5.
-4*r*(r + 1)**3*(3*r - 2)/5
Let x(k) be the third derivative of 6*k**2 + 0*k + 0 - 5/6*k**4 + 1/2*k**5 + 17/6*k**3 + 7/72*k**6. Let c(i) be the first derivative of x(i). Factor c(b).
5*(b + 2)*(7*b - 2)
Let j(r) be the third derivative of -r**6/180 + 208*r**5/45 - 823*r**4/12 + 410*r**3 + 9804*r**2. Factor j(b).
-2*(b - 410)*(b - 3)**2/3
Let n be 95/(-30) + (-1 - -6 - (-216)/(-144)). Factor n*d**2 + 1/3 + 2/3*d.
(d + 1)**2/3
Let l(m) = 11*m**2 + 5*m + 2. Let z(a) = -33*a**2 - 17*a - 7. Suppose -7*y + 54 = 103. Let j(x) = y*l(x) - 2*z(x). Let j(p) = 0. Calculate p.
-1/11, 0
Let c(i) be the third derivative of -i**8/224 + i**7/35 - i**6/16 + i**5/20 + 178*i**2 + 5*i. Factor c(h).
-3*h**2*(h - 2)*(h - 1)**2/2
Factor -67280*l + l**4 - 1165*l**3 - 27086*l**2 - 41354*l**2 - 6*l**4.
-5*l*(l + 1)*(l + 116)**2
Determine j so that 55*j**2 - 60*j**2 + 55*j - 173 + 5 + 18 = 0.
5, 6
Let z(j) be the third derivative of -j**5/360 + 107*j**4/18 + 857*j**3/36 + 129*j**2 + 2*j + 2. Factor z(h).
-(h - 857)*(h + 1)/6
Let r be (-125)/(-20)*(-24)/(-15). Suppose 0 = -g - 4*w - r, 7 = -g + 6*w - 9*w. Factor -2/3*q - 11*q**3 - 5*q**g - 3*q**5 + 0 - 29/3*q**4.
-q*(q + 1)**3*(9*q + 2)/3
Let h(v) be the second derivative of v**5/10 - 22*v**4 + 1407*v**3 + 8978*v**2 + 4*v - 515. Factor h(g).
2*(g - 67)**2*(g + 2)
Suppose 10 = d + 3*j, -22 = 5*d - 3*j - 72. Let 32*h**3 - 8*h**2 + d*h + 45*h**5 + 131*h**3 - 74*h**4 - 22*h - 114*h**4 = 0. Calculate h.
-2/9, 0, 2/5, 1, 3
Let 112*a + 7*a**2 + 162 - 468 + 12*a + 179*a - 4*a**2 = 0. What is a?
-102, 1
Factor 357911/2 + 213/2*a**2 + 15123/2*a + 1/2*a**3.
(a + 71)**3/2
Let a(q) be the third derivative of 4*q**2 + 0*q - 1/270*q**5 + 7/108*q**4 - 4/9*q**3 + 3. Determine u so that a(u) = 0.
3, 4
Let f = 243689/12 + -20307. Let m(i) be the second derivative of 0 + f*i**4 - 3*i + 40*i**2 - 20/3*i**3. Suppose m(z) = 0. Calculate z.
4
Let s be 3*(-7)/(84/(-16)). Find m such that -18 + 8*m**4 - 10*m**3 + 10 - 6*m**s - 24 + 40*m = 0.
-2, 1, 2, 4
Let l(k) be the third derivative of -6/5*k**5 - 2304*k**3 - 8*k**2 + 2*k + 0 - 72*k**4 - 1/120*k**6. Factor l(j).
-(j + 24)**3
Let m(l) be the first derivative of 25 + 0*l**2 + 2/21*l**3 - 2/21*l**4 - 7*l. Let k(w) be the first derivative of m(w). Factor k(q).
-4*q*(2*q - 1)/7
Let h(n) = 18*n - 286. Let x be h(16). Factor 2*m**2 - 50845 + x*m + 50845.
2*m*(m + 1)
Let i(h) be the first derivative of 1/180*h**5 - 12 - 7/54*h**4 + 49/54*h**3 - 38*h + 0*h**2. Let c(x) be the first derivative of i(x). Factor c(k).
k*(k - 7)**2/9
Let t(g) = -g**2 - 3*g - 54. Let k be t(-13). Let c be 4 - (k/(-28) - 4). Find d, given that -3/7*d + c*d**2 - 4/7 = 0.
-1/2, 4/5
Solve -12 + 20 - 27*q - 5*q**2 - q**4 - 2*q**2 + 9*q**3 + 0*q**3 + 18*q = 0.
-1, 1, 8
Let s(n) be the second derivative of 1/15*n**5 + 2/63*n**7 + 44*n + 4/15*n**6 + 32/9*n**3 + 0 + 0*n**2 - 8/3*n**4. Factor s(g).
4*g*(g - 1)**2*(g + 4)**2/3
Let h = -1009 + 1041. Solve 2*o**2 + 120 - 26*o**4 - h*o**5 - 116*o + 31*o**5 + 21*o**3 + 24*o**4 = 0.
-5, -3, 2
Let l(z) be the second derivative of -134*z - 46656/11*z**2 - 1296/11*z**3 - 18/11*z**4 - 1/110*z**5 + 0. What is y in l(y) = 0?
-36
Suppose 2*m = 3*h + 63, -34 = -4*m - 4*h + 62. Suppose 57 = m*v - 159. Factor -v*x - 24 - 2/3*x**2.
-2*(x + 6)**2/3
Suppose 2*h = -f - 17, -2*h - 3*f + 393 - 452 = 0. Factor 0 + 21/4*x + 39/8*x**h - 3/8*x**3.
-3*x*(x - 14)*(x + 1)/8
Let g = 1048/7227 + 62/803. Find h, given that -g*h**2 + 16/3 - 10/9*h = 0.
-8, 3
Suppose -5*y + 2*c + 36 = 0, 3*c - 328 + 368 = 4*y. Solve -1/6*h**y + 0 + 1/6*h**2 + 1/2*h - 1/2*h**3 = 0 for h.
-3, -1, 0, 1
Let h be (0 + 1)*47135/(-55). Let l = h + 2573/3. Suppose -1/3*j**3 - l - 4/3*j**2 - 5/3*j = 0. Calculate j.
-2, -1
Let f(u) = u**3 - 9*u**2 + 11*u - 26. Let p be f(8). Let c be 48/14 - 2/7*p. Factor 1/3*k**3 + 1/3*k**c + 0*k + 0 + 0*k**2.
k**3*(k + 1)/3
Let d(j) be the first derivative of -j**6/14 - 12*j**5/35 + 6*j**4/7 + 2*j**3 - 3*j**2/2 - 30*j/7 + 471. Solve d(g) = 0 for g.
-5, -1, 1, 2
Let q be (-5)/(-15) - (8 - (-2 - 11/(-6))*-47). What is s in q*s**5 - 10/3*s - 17/6*s**4 - 19/2*s**3 - 59/6*s**2 + 0 = 0?
-1, 0, 20
Let a be (-169)/14 - (-9 + 4 + -1). Let s = -1077/182 - a. Let -18/13 - 16/13*f + s*f**2 = 0. Calculate f.
-1, 9
Let q = -488945 + 488945. Solve -32/13*v + q - 2/13*v**3 - 16/13*v**2 = 0 for v.
-4, 0
Solve 12696/7*y - 3166/7*y**3 + 138/7*y**4 + 23782/7*y**2 - 97336/7 - 2/7*y**5 = 0 for y.
-2, 2, 23
Let x be (6 - (-24)/(-10))/((-3)/10). Let t be 1/x + (-2664)/(-864). Solve -8/7*a + 0 - 4/7*a**t + 12/7*a**2 = 0 for a.
0, 1, 2
Let s = -4/89727 + 4127494/1166451. Let s*a + 2/13*a**2 + 44/13 = 0. What is a?
-22, -1
Let 7556*i**2 + 163*i**4 - 42336*i - 11*i**5 + 6210*i**3 - 43844*i**2 + 12*i**5 = 0. What is i?
-84, -1, 0, 6
Let v(c) = 26*c + 221. Let f be v(-8). Determine s, given that -f*s - 5*s**2 + 3 - 2*s - 5 - 8 = 0.
-2, -1
Let o(s) be the second derivative of s**4/3 + 2*s**3/3 - 24*s**2 - 392