e of b**4 + 596*b**3/3 + 11808*b**2 + 103680*b - 4146. What is z in g(z) = 0?
-72, -5
Let t(q) be the third derivative of -q**6/120 + 1627*q**5/30 - 2647129*q**4/24 + 7373*q**2. Find w, given that t(w) = 0.
0, 1627
Suppose 56*p + 344 = 164*p + 20. Let a(w) be the second derivative of 0 - 8*w**2 - 1/3*w**4 + 10*w - 10/3*w**p. Factor a(z).
-4*(z + 1)*(z + 4)
Let s(x) be the third derivative of 1/180*x**6 + 2/9*x**4 - 4/9*x**3 + 0 + 0*x - 1/18*x**5 - 142*x**2. Factor s(p).
2*(p - 2)**2*(p - 1)/3
Let b(n) = -13*n**2 + 11*n - 11. Let p(m) = 11*m**2 + 10 - 4*m - m - 7*m + 18*m - 15*m. Let o(q) = 6*b(q) + 7*p(q). Factor o(g).
-(g - 4)*(g + 1)
Let c(r) be the third derivative of -r**6/120 - 3*r**5/20 + 25*r**4/24 + 11*r**3/2 - 1037*r**2. Determine j so that c(j) = 0.
-11, -1, 3
Let m = -299929/3 + 99977. Find z, given that -4/15*z**2 - m*z**3 + 0 + 0*z = 0.
-2/5, 0
Let k = 508 - 288. Suppose r - 6*r = 5*a - k, r + 5*a - 44 = 0. Factor -25 + r*g - g**2 - 27*g - 27*g.
-(g + 5)**2
Let o be -6 - 8/((-64)/56). Let y(h) be the first derivative of -o - 7*h**2 - 4*h - 2/3*h**3 + 7/2*h**4 + 6/5*h**5. Find g such that y(g) = 0.
-2, -1, -1/3, 1
Let x(q) = 46*q + 49. Let l(a) = 15*a + 16. Let b(u) = -7*l(u) + 2*x(u). Let m be b(-4). What is w in 35*w**4 - 6*w**3 - 75*w**4 + m*w**4 - 4*w**2 = 0?
-2, -1, 0
Let n(r) = -10*r**3 + 50*r**2 + 132*r + 6. Let t(l) = 1779*l**3 - 18*l + 22*l - 1780*l**3. Let i(k) = 2*n(k) - 44*t(k). Factor i(s).
4*(s + 1)*(s + 3)*(6*s + 1)
Solve 3/2*m**4 + 0 - 117/2*m**3 + 561*m**2 + 0*m = 0.
0, 17, 22
Factor 14 - 186*h - 11*h**2 + 34 + 263*h - 135*h.
-(h + 6)*(11*h - 8)
Let b(s) be the first derivative of -s**3/12 + 333*s**2 - 443556*s + 4199. Determine h so that b(h) = 0.
1332
Let q = -8 - -16. Suppose 3*r = -2*b + q, 7*b - 1 = r + 4*b. Factor -2*s + 2*s - 12*s**2 + r*s**4 - 2*s**3 + 0*s.
2*s**2*(s - 3)*(s + 2)
Let g(p) = 3*p - 11. Let k be g(5). Suppose 8 = 5*i + b, -13 + 1 = -2*i + k*b. Suppose -j**4 + j**3 + 8*j**3 - 7*j**3 + 2*j**i - 2*j - j**2 = 0. What is j?
-1, 0, 1, 2
Let j(l) = -l**3 - 11*l**2 - 29*l - 12. Let k be j(-3). Let z(v) be the first derivative of 3/4*v**4 + 0*v**2 + 12*v + 19 - k*v**3. Factor z(d).
3*(d - 2)**2*(d + 1)
Let s be (5/120*-6)/(181/4). Let k = 367/905 + s. Suppose -4/5 + k*n**2 + 2/5*n = 0. What is n?
-2, 1
Factor -3663075 - 3*p**3 - 2577421*p - 684209*p - 6633*p**2 - 408075*p.
-3*(p + 1)*(p + 1105)**2
Let r(i) be the third derivative of i**5/120 + 5*i**4/4 - 31*i**3/3 - 6433*i**2. Let r(f) = 0. Calculate f.
-62, 2
Let d(a) be the third derivative of -a**8/168 - 73*a**7/945 - 143*a**6/540 + 19*a**5/90 + 38*a**4/27 + 16*a**3/27 - 10*a**2 + 191. Find v such that d(v) = 0.
-4, -1, -1/9, 1
Suppose 5*r + 6*r = -66. Let y(d) = 8*d**2 + 29*d - 27. Let m(f) = 9*f**2 + 30*f - 27. Let w(u) = r*y(u) + 5*m(u). Factor w(i).
-3*(i - 1)*(i + 9)
Let h be ((-2)/8)/1 + (-343)/(-476). Let i be ((-72)/(-153))/((-3)/(-5 + 2)). Find l, given that -h*l + i + 2/17*l**2 = 0.
2
Suppose -135/2 - 3/8*k**2 - 27/2*k = 0. What is k?
-30, -6
Suppose 107*q - 98*q = 0. Let w(m) be the second derivative of 10*m - 1/126*m**4 - 1/63*m**3 + 0*m**2 + q. Factor w(p).
-2*p*(p + 1)/21
Factor 2*p**3 - 357/2*p**2 - 1015/2*p + 138.
(p - 92)*(p + 3)*(4*p - 1)/2
Let c = 6 - 2. Suppose 0 = 753*y - 744*y - 27. What is f in -2*f**c + 4*f**y - 2*f**2 + 12*f**3 - 12*f**3 = 0?
0, 1
Let r be 216/112 + (-1)/(-14). Suppose 43*n**4 - 3*n**3 + 27*n - 52*n**4 + 108*n**r - 27*n**2 = 0. What is n?
-3, -1/3, 0, 3
Let x = 8434/15 - 562. Let i = 1523 - 1521. Factor 0*u**i + x + 2/5*u - 2/15*u**3.
-2*(u - 2)*(u + 1)**2/15
Let k be (-524)/(-1965)*25/24. Let r(l) be the second derivative of 0 + 1/4*l**2 + l - k*l**3 + 7/72*l**4. Factor r(o).
(o - 1)*(7*o - 3)/6
Let h(l) be the first derivative of -197 + 15/2*l**2 + 0*l - l**3. Suppose h(z) = 0. Calculate z.
0, 5
Let p(z) be the first derivative of 66 + 0*z**2 + 2*z**3 + 0*z + 3/8*z**4. Let p(j) = 0. What is j?
-4, 0
Let d(q) = -51*q - 1059 - 41*q + 2*q - q. Let g(m) = -2*m**2 - m + 1. Let y(f) = -d(f) - g(f). Suppose y(v) = 0. Calculate v.
-23
Suppose 2*b + 8 = 0, 5*b + 0*b + 376 = 4*m. What is k in -41*k**2 - 118 - 86*k + 28 - 5*k**3 - 35 - m*k - 14*k**2 = 0?
-5, -1
Let n(j) be the first derivative of 4*j**5/5 + 260*j**4 + 31488*j**3 + 1667552*j**2 + 30876608*j + 15246. Factor n(z).
4*(z + 14)*(z + 82)**3
Let r(w) be the third derivative of 0 + 47*w**2 - 1/120*w**5 - 169/12*w**3 - 13/24*w**4 + 0*w. Factor r(d).
-(d + 13)**2/2
Let x = -16123/9 + 1815. Let i = 1087/45 - x. Suppose 1/5*b**2 - i*b + 2/5 = 0. What is b?
1, 2
Let z be 2 - (22/33 - 5/3). Find t such that 42*t**2 - 3*t**3 - 2*t**4 - 8*t**2 + 57*t**z - 22*t**3 = 0.
-1, 0, 17
Let o be (-69)/3 - (-5605)/236. Solve -45/2*u**3 + o*u**5 + 87/4*u + 39/4*u**4 - 45/4 + 3/2*u**2 = 0.
-15, -1, 1
Let s(p) = -p**2 + 10*p - 17. Let v be s(7). Let k(c) = -c - 14. Let g be k(-17). Let 3*a**5 + 0*a**3 - 9*a**3 + 15*a**2 - g*a**v + 2*a - 8*a = 0. Calculate a.
-2, 0, 1
Let k(p) be the third derivative of -p**6/30 - 14*p**5/15 - 22*p**4/3 - 80*p**3/3 + 1316*p**2 + 2. Solve k(f) = 0.
-10, -2
Let x(h) = -46*h - 152. Let n be x(-4). Factor -35*r**2 - n + 3*r**2 + 674*r**4 - 60*r - 3*r**3 - 673*r**4.
(r - 8)*(r + 1)*(r + 2)**2
Let l(w) = 31*w**4 - 286*w**3 - 1412*w**2 - 2013*w - 873. Let g(y) = -28*y**4 + 284*y**3 + 1412*y**2 + 2012*y + 872. Let o(x) = -9*g(x) - 8*l(x). Factor o(t).
4*(t - 72)*(t + 1)**2*(t + 3)
Let p(c) = -2*c**2 + 535*c - 3393. Let v be p(261). Determine l so that 9/5*l**4 + v*l**3 + 144/5 + 48/5*l + 1/5*l**5 - 104/5*l**2 = 0.
-6, -1, 2
Solve 7/2*y**2 - 5/2*y - 3/2*y**3 + 1/2 = 0.
1/3, 1
Let u(d) be the second derivative of d**5/20 - 3*d**4 + 72*d**3 + 4*d**2 - 57*d. Let y(p) be the first derivative of u(p). Factor y(b).
3*(b - 12)**2
Let x(t) = 4*t**4 - 90*t**3 - 63*t**2 + 85*t + 89. Let s(b) = b**4 - 45*b**3 - 33*b**2 + 43*b + 44. Let j(c) = 5*s(c) - 2*x(c). Factor j(w).
-3*(w - 1)*(w + 1)**2*(w + 14)
Let r(x) be the second derivative of 0*x**2 + 0*x**3 + 0 + 1/30*x**5 - 37/18*x**4 + 220*x. Factor r(w).
2*w**2*(w - 37)/3
Let l(v) be the first derivative of v**4 + 8*v**3/3 - 46*v**2 - 240*v - 1516. Factor l(h).
4*(h - 5)*(h + 3)*(h + 4)
Let s(q) be the first derivative of 0*q - 1/24*q**4 - 9 - 1/9*q**3 + 0*q**2. Suppose s(z) = 0. What is z?
-2, 0
Let z(q) be the first derivative of -q**4/8 + q**3/2 + 9*q**2/2 - 20*q - 391. Factor z(b).
-(b - 5)*(b - 2)*(b + 4)/2
Let c = -486 + 490. Factor -35*w**3 - 5*w**4 + 152*w**2 - 162*w**2 - 360 + 10*w**c + 300*w.
5*(w - 6)*(w - 2)**2*(w + 3)
Factor 2/7*d**5 + 18/7*d**4 - 50/7*d**2 + 0 + 30/7*d**3 + 0*d.
2*d**2*(d - 1)*(d + 5)**2/7
Let c = 28 - 8. Let p = c - 3. Factor 3*s**2 - s**5 - 2*s**4 - s**5 - s**2 + 19*s**3 - p*s**3.
-2*s**2*(s - 1)*(s + 1)**2
Suppose m + 5/4*m**4 - 5/4*m**2 - 3/4*m**3 - 1/4*m**5 + 0 = 0. What is m?
-1, 0, 1, 4
Let r = 66 + -60. Let z be 60/75 - r/(-5). Solve -5*x**2 + 5*x**z + 3*x**2 = 0.
0
Let z(n) be the third derivative of n**5/330 + n**4/132 - 4*n**3 + 576*n**2 + 2. Factor z(l).
2*(l - 11)*(l + 12)/11
Factor -21/2*a**2 - a**3 + 12 + 19*a.
-(a - 2)*(a + 12)*(2*a + 1)/2
Let s = -626 + 647. Let b be (-27)/s*(-21)/9. Factor -24/5*p - 12/5 + 21/5*p**2 + 3*p**b.
3*(p - 1)*(p + 2)*(5*p + 2)/5
Let v = 62 - 8. Let o be 4/(-32)*v/(-9). Let 0*s + 0 + 3/2*s**2 - 3/4*s**4 + o*s**3 = 0. What is s?
-1, 0, 2
Let p(j) = -9*j**2 - 154*j - 15. Let h be (-11 - 560/(-50))*-85. Let i be p(h). Factor 0*m + 0 - 1/3*m**i + 1/3*m**3.
m**2*(m - 1)/3
Let t(y) = -2*y**4 + 2*y**3 - y**2 - 13*y. Let c(z) = 8*z**4 + 19*z**3 + 16*z**2 - 27*z + 12. Let l(o) = c(o) + 2*t(o). Find n such that l(n) = 0.
-4, -3, 1/4, 1
Let o(i) = -i**2 - 23*i + 80. Let v be o(-26). Let w be (-66)/88*((-48)/45)/v. Factor w - 1/5*d + 1/5*d**4 + 1/5*d**3 - 3/5*d**2.
(d - 1)**2*(d + 1)*(d + 2)/5
Let x(s) = s**4 + s**3 + 1. Let h = -3 - 2. Let z(q) = 6*q**4 - 2*q + 7*q - 100 - 2*q + 3*q**3 + 105 - q**2 - q**3. Let y(g) = h*x(g) + z(g). Factor y(u).
u*(u - 3)*(u - 1)*(u + 1)
Solve 0 + 140/13*s - 2/13*s**3 - 138/13*s**2 = 0 for s.
-70, 0, 1
Let m(i) be the second derivative of i**5/10 + 7*i**4 + 499*i. Factor m(d).
2*d**2*(d + 42)
Let l = -3988/256595 + 9/703. Let y = l + 1169/365. Find w such that -4/5 - y*w**2 + 16/5*w = 0.
1/2
Suppose -17 - 38 = -21*m 