 = -y + 5. Let b be n(y). What is h in -9*h**2 - h**4 + 7*h + 0*h**3 - 5*h**3 - 3*h - b*h - 2 = 0?
-2, -1
Let d be 6/8*13*(-16)/(-624). Let v(x) be the second derivative of 27*x + 1/10*x**6 + 0*x**2 + d*x**4 + 0*x**3 + 0 + 3/10*x**5. Let v(t) = 0. Calculate t.
-1, 0
Let f(t) = -t**2 + 2894*t - 2076533. Let d(y) = 3*y**2 - 8679*y + 6229586. Let b(w) = -4*d(w) - 11*f(w). What is l in b(l) = 0?
1441
Let h(c) be the second derivative of -3*c**5/35 + 132*c**4/7 - 75*c**3/2 + 393*c**2/14 + 969*c. Factor h(q).
-3*(q - 131)*(2*q - 1)**2/7
Solve 0 - 106/15*q**2 + 4/15*q**5 + 106/15*q**4 - 58/15*q**3 + 18/5*q = 0 for q.
-27, -1, 0, 1/2, 1
Let p be ((-1)/(-3))/((-36)/(-648)). Suppose 0 = 2*c + d - p, -8*c + d + 15 = -3*c. Determine k, given that 5/2*k + 0 - 5/4*k**c + 5/4*k**2 = 0.
-1, 0, 2
Suppose -m - m + 3*g = -9, -3*g = 3. Factor -4*a**4 + m*a**5 + 11*a**5 - a**3 - 15*a**5 + 4*a**3 + 18*a**2.
-a**2*(a - 2)*(a + 3)**2
Let r(w) = 21*w**3 - 189*w**2 + 2271*w - 9287. Let n(b) = -4*b**3 + b**2 + b - 2. Let q(u) = -4*n(u) - r(u). Let q(s) = 0. Calculate s.
11, 13
Let z = 0 + 1. Let w be 6 + 15 + 0/1. Factor z - 1 + 3*g**2 - 24*g + w*g.
3*g*(g - 1)
Let n = -13699/146 - -13748/73. Factor 3/4*c**3 + 279/4*c - n - 15*c**2.
3*(c - 14)*(c - 3)**2/4
Let r(o) be the third derivative of 2/15*o**3 - 1/30*o**4 + 0*o + 1/300*o**5 - 33*o**2 + 0. Factor r(u).
(u - 2)**2/5
Let m(c) = -203*c + 1831. Let y be m(9). Let i(v) be the first derivative of 2/3*v**6 + 0*v - 28/3*v**3 - 4*v**5 + 31 + y*v**2 + 9*v**4. Factor i(h).
4*h*(h - 2)*(h - 1)**3
Let p(j) be the third derivative of -1/240*j**4 + 0 - 51*j**2 + 1/1200*j**6 + 0*j + 1/15*j**3 - 1/150*j**5. Factor p(s).
(s - 4)*(s - 1)*(s + 1)/10
Let w(h) be the first derivative of 7*h**2/2 + 51*h - 14. Let u be w(-7). Factor -43*c**u + 6 + 11*c + 46*c**2 - 2*c.
3*(c + 1)*(c + 2)
Let u(f) = -4*f**3 - 8*f**2 + 20*f - 143. Let p(t) = -t**3 - 3*t**2 + 6*t - 48. Let b(w) = -7*p(w) + 2*u(w). Let x be b(6). Factor 5/6*g**x + 35/6 - 20/3*g.
5*(g - 7)*(g - 1)/6
Let z(n) be the first derivative of n**4 + 376*n**3 + 39192*n**2 - 161312*n + 2595. Factor z(r).
4*(r - 2)*(r + 142)**2
Let z be ((-56)/(-637))/((-28)/(-182)). Let o(c) be the first derivative of -39 + 3/35*c**5 + 2/21*c**3 + z*c**2 - 13/28*c**4 + 0*c. Factor o(v).
v*(v - 4)*(v - 1)*(3*v + 2)/7
Let c(v) be the third derivative of v**6/80 + 33*v**5/40 + 315*v**4/16 + 675*v**3/4 + 1831*v**2 + v. Find u such that c(u) = 0.
-15, -3
Suppose 9 - 3 = -2*y, 13 = -l - 5*y. Let b(g) be the first derivative of 9/2*g**l + 6*g + g**3 + 14. Factor b(m).
3*(m + 1)*(m + 2)
Let a be (245/(-686))/(12 + 308/(-24)). Suppose 0*v - a*v**3 + 0*v**2 - 3/7*v**4 + 0 = 0. Calculate v.
-1, 0
Let i(n) be the second derivative of 0 - 520/3*n**3 + 245/12*n**4 + 160*n**2 - 3/4*n**5 - 43*n. Factor i(d).
-5*(d - 8)**2*(3*d - 1)
Factor -b**3 + 11*b**2 + 22*b**2 - 10152 - 119*b + 5107 + 5132.
-(b - 29)*(b - 3)*(b - 1)
Let r be (-2252)/16890 + (2/(-15))/((-44)/104). Find n such that 0*n + 0*n**3 - 2/11 + 4/11*n**2 - r*n**4 = 0.
-1, 1
Let f(z) be the third derivative of 1/840*z**7 + 0 + 0*z**3 + 0*z + 0*z**4 - 1/160*z**6 + 0*z**5 - 43*z**2. Let f(x) = 0. What is x?
0, 3
Let t(y) be the first derivative of -y**5/150 - y**4/60 + 4*y**3/5 + 219*y**2/2 + 202. Let v(n) be the second derivative of t(n). Factor v(i).
-2*(i - 3)*(i + 4)/5
Let j(k) be the first derivative of 3/2*k**2 + 3/4*k**4 - 2*k**3 + 38 + 0*k. Determine s, given that j(s) = 0.
0, 1
Factor 44*q - 54*q**2 + 33 + 25*q**2 + 21*q**2 + 15 - 4*q**3.
-4*(q - 3)*(q + 1)*(q + 4)
Let 4*j**3 - 3703 - 23*j**2 - 242*j**2 + 276*j**2 - 339*j**2 - 1033 + 2432*j = 0. What is j?
4, 74
Let z = 889 - 889. Let i be (-24)/(-10) + 6/(-3). Factor 0 + 2*r**4 + 6/5*r**2 - 14/5*r**3 + z*r - i*r**5.
-2*r**2*(r - 3)*(r - 1)**2/5
Let m(b) = 9*b**3 - 5*b**2 - 3*b - 12. Let y be m(5). Find f, given that -6*f**3 + 21*f**3 + 49*f - 972*f**4 + 63*f**2 + y*f**4 = 0.
-7, -1, 0
Let q(s) be the first derivative of -2*s**3/39 - 62*s**2/13 - 240*s/13 + 996. Factor q(b).
-2*(b + 2)*(b + 60)/13
Let n(o) be the third derivative of -o**5/210 - o**4/3 - 52*o**3/21 - 738*o**2. Factor n(h).
-2*(h + 2)*(h + 26)/7
Let r = -784355/2 - -392178. Determine w, given that -225 + 285/2*w - 16*w**2 + r*w**3 = 0.
2, 15
Solve 23*p**3 + 4*p - 1173172*p**2 + 0*p**4 + 1173250*p**2 + 3*p**4 - 104 - 4*p**4 = 0.
-2, 1, 26
Let t(s) be the first derivative of 1/4*s**3 - 75/4*s + 9*s**2 - 88. Factor t(u).
3*(u - 1)*(u + 25)/4
Let t be (615/(-492))/(-4*((-6)/3 + 9/2)). Factor -1/8*z - 3/4 + 3/4*z**2 + t*z**3.
(z - 1)*(z + 1)*(z + 6)/8
Let r(g) = -990*g**3 - 725*g**2 + 264*g - 16. Let z(j) = -496*j**3 - 362*j**2 + 132*j - 8. Let p(t) = 2*r(t) - 5*z(t). Find y such that p(y) = 0.
-1, 2/25, 1/5
Find d such that 198*d - 156*d + 109*d - d**2 - 271 + 1414 + 129 = 0.
-8, 159
Suppose 2*o + 146 = 4*q, -2*q + o - 5*o = -58. Factor 40 + q + 3*h**2 - 39*h - 80 + 6 + 35.
3*(h - 12)*(h - 1)
Let q(y) be the first derivative of y**4/4 + 229*y**3 + 157323*y**2/2 + 12008989*y + 143. Factor q(z).
(z + 229)**3
Let c(k) be the second derivative of -k**5/10 - 23*k**4 + 285*k**3 - 1296*k**2 + 1741*k. Find n, given that c(n) = 0.
-144, 3
Let g be (-80)/(-15)*3/2. Let i = g + -2. Factor 2 + 2*n**2 - 3*n - 7*n**4 - 3*n**3 + i*n**4 + 6*n - 3*n**2.
-(n - 1)*(n + 1)**2*(n + 2)
Let i(q) be the second derivative of -q**5/140 + 115*q**4/84 - 25*q**3 - 10001*q. Factor i(l).
-l*(l - 105)*(l - 10)/7
Let z(g) be the first derivative of -g**3 - 1881*g**2 - 1179387*g + 1475. Find n such that z(n) = 0.
-627
Let y(n) be the third derivative of -5*n + 0 + 1/20*n**5 - 9*n**2 - 3/4*n**4 + 4*n**3. Factor y(o).
3*(o - 4)*(o - 2)
Solve 64*u**2 + 102*u + 12*u**5 - 2 + 2 + 129*u**2 - 13*u**5 + 79*u**3 - 13*u**4 = 0 for u.
-17, -1, 0, 6
Find r, given that -23/2 - 1/2*r + 23/2*r**2 + 1/2*r**3 = 0.
-23, -1, 1
Find j such that -9/2*j**2 + 0 - 27/2*j**3 - 15/2*j**4 + 3/2*j = 0.
-1, 0, 1/5
Let t = -141 - -73. Let v be (-144)/t - 6/51. Find w, given that -v + 6 + 6*w - 4 + 3*w**2 = 0.
-2, 0
Suppose -17*m + 14*m = -2364. Factor -o**2 - 39 - 1 - 802*o + m*o.
-(o + 4)*(o + 10)
Let x(b) be the second derivative of 11*b**2 - 1/80*b**5 - 4*b - 1/4*b**3 - 3/32*b**4 + 0. Let g(h) be the first derivative of x(h). Factor g(o).
-3*(o + 1)*(o + 2)/4
Suppose 0 = 2814*a - 2804*a - 15330. Let d be 24/(-10)*(-730)/a. Factor -6/7*s**2 + 2/7*s**3 + d + 0*s.
2*(s - 2)**2*(s + 1)/7
Let v(z) = 6*z**2 + 8*z + 20. Let d(i) = -7*i**2 - 8*i - 23. Let p = 249 - 253. Let q(o) = p*d(o) - 5*v(o). Factor q(l).
-2*(l + 2)**2
Let q = 27189 - 81556/3. Factor -1/3*z**3 + 0*z + 0 + q*z**2.
-z**2*(z - 11)/3
Let a(i) = i**2 - 2*i - 7. Let y be a(3). Let c be 660/54 + 1/(18/y). Factor 12*p - 22 + 6*p**2 + 3*p**3 - 6*p**3 + c - 14.
-3*(p - 2)**2*(p + 2)
Determine b so that 1/2*b**3 + 7*b**2 - 15 - 17/2*b = 0.
-15, -1, 2
Let r(h) be the third derivative of -50*h**2 + 9/2*h**5 + 5/21*h**7 + 0 - 45/8*h**4 + 0*h - 3/2*h**6 - 5/336*h**8 + 0*h**3. Factor r(k).
-5*k*(k - 3)**3*(k - 1)
Suppose 408*q - 952 = -986*q + 1836. What is i in -q*i**2 + 8/3 - 2/3*i**4 - 10/3*i**3 + 10/3*i = 0?
-4, -1, 1
Let k = 567/6812 - -1/10218. Let l(f) be the second derivative of 1/8*f**2 - 8*f + 0 - k*f**4 + 1/8*f**3. Determine o, given that l(o) = 0.
-1/4, 1
Suppose 2*z - 160 = -3*r, -4*r - 7*z + 190 = -9*z. Let p be -4*1*5*(-5)/r. Let 0 + 5*g**3 + 0*g - 5/4*g**4 - 5*g**p = 0. What is g?
0, 2
Let x be -50*(61/(-90) + 162/(-729)). Determine y so that x*y**3 + 27/2*y**4 + 66*y**2 + 36*y + 0 + 3/2*y**5 = 0.
-3, -2, 0
Let z(g) = -953*g + 5721. Let t be z(6). Let q(r) be the second derivative of -25*r + 0*r**2 + 1/120*r**5 + 1/36*r**t + 1/36*r**4 + 0. Factor q(k).
k*(k + 1)**2/6
Suppose 2*h = n + n + 12, h - 6 = 5*n. Suppose 3*f - 27 = -3*k, -4*f + 3*f + 2*k = -h. Factor -3*g**2 + f + 5 - 5*g + 14*g - 1.
-3*(g - 4)*(g + 1)
Let k(w) be the first derivative of -1/7*w**2 + 4/21*w**3 + 1/14*w**4 - 1/35*w**5 - 144 - 3/7*w. Determine x, given that k(x) = 0.
-1, 1, 3
Let j(h) be the second derivative of 45*h**5/16 + 655*h**4/8 - 268*h**3/3 + 36*h**2 - 109*h + 7. Factor j(z).
(z + 18)*(15*z - 4)**2/4
Solve -2/17*y**3 + 672/17 - 1012/17*y + 342/17*y**2 = 0 for y.
1, 2, 168
Let h be ((-84)/(-72))/((-140)/180) + 13/6. Factor h*l**2 + 26/3*l - 28/3.
2*(l 