e r(-9). Find y, given that 2*y**4 - 12*y - 22*y**2 - 35*y**3 - 41*y**3 + u*y**3 = 0.
-1, 0, 6
Let s = 61749 + -246995/4. Suppose 1/2*a + 0*a**2 - 1/4*a**4 + s - 1/2*a**3 = 0. Calculate a.
-1, 1
Let q(d) = 26 + 26 - 30*d**2 + 22 + 28*d**2. Let p be q(6). Solve 5/4 - 1/4*z**p + z = 0.
-1, 5
Let h(b) be the first derivative of 39/14*b**2 - b**3 - 55 + 1/28*b**4 - 19/7*b. Solve h(v) = 0.
1, 19
Let v(c) = 6*c**4 - 30*c**3 + 4*c**2 + 4*c. Let w = 184 + -188. Let u(k) = -4*k**4 + 29*k**3 - 3*k**2 - 3*k. Let t(q) = w*u(q) - 3*v(q). Factor t(j).
-2*j**3*(j + 13)
Suppose -8*c + 5*c = -6. Let j be -10*4/(-8) - c. Factor 6*s**3 + 3*s**2 + 4*s**3 - 8*s**j + 1 - 3*s - 3*s**3.
-(s - 1)**3
Let n(y) = 9*y**2 - 3*y - 10. Let s be n(-1). Let k(u) be the third derivative of 0*u**3 + 0*u + 5*u**s + 0 + 1/540*u**6 + 0*u**4 + 1/270*u**5. Factor k(b).
2*b**2*(b + 1)/9
Let q(b) = -b + 6. Let d be q(-6). Suppose -p + 3*z = -4*p, 0 = -2*p + 4*z + d. What is k in 23*k + 2 + k**p + 20*k - 40*k = 0?
-2, -1
Let w(o) be the second derivative of -o**5/110 + 20*o**4/33 - 117*o**3/11 + 7866*o. Let w(m) = 0. Calculate m.
0, 13, 27
Let u be 54 + -66 - -5*3. Let a(o) be the first derivative of -9/10*o**2 - 6 + 6/5*o + 0*o**u + 3/20*o**4. Factor a(l).
3*(l - 1)**2*(l + 2)/5
Suppose 10*c - 131 + 671 = 0. Let w be c/72*8/(-39). Determine n, given that w*n**3 - 2/13*n**5 + 0*n + 0 + 2/13*n**4 - 2/13*n**2 = 0.
-1, 0, 1
Let 18*k - 26*k - 48*k + 20 - 2*k**2 + 8*k**2 - 6*k = 0. Calculate k.
1/3, 10
Let v(u) be the second derivative of -u**7/5670 + u**6/54 + 121*u**4/12 - 181*u. Let j(w) be the third derivative of v(w). Factor j(r).
-4*r*(r - 30)/9
Let r(o) be the third derivative of -o**6/24 + 23*o**5/6 + 235*o**4/24 + 408*o**2 - 1. Suppose r(v) = 0. What is v?
-1, 0, 47
Let x = -3176 - -19057/6. Factor 0*j**2 - 2/3*j**3 + 0*j - x*j**4 + 0.
-j**3*(j + 4)/6
Let a(o) be the first derivative of -6*o**5/5 + 6*o**3 + 3*o**2/2 + 3*o - 122. Let t(r) = -r**4 - r**3 + r**2 - 2*r + 1. Let s(h) = a(h) - 3*t(h). Factor s(w).
-3*w*(w - 3)*(w + 1)**2
Suppose -4*n = -5*o + 440, -4 - 6 = 2*n. Let k = o - 66. Factor 37*u**2 - 14*u**2 - 20*u**2 - k*u.
3*u*(u - 6)
Suppose -4*d + k - 4 + 19 = 0, -3 = -4*d - 3*k. Factor 38*c**3 + d*c**4 + 83*c**3 - 72*c**2 + 2*c**4 + 59*c**3 - 113*c**2.
5*c**2*(c - 1)*(c + 37)
Let j(w) be the second derivative of 19*w + 1/12*w**4 - 2/9*w**3 - 1/30*w**6 + 0 - 1/18*w**7 + 11/60*w**5 + 0*w**2. Determine p so that j(p) = 0.
-1, 0, 4/7, 1
Let s(j) = 13*j**2 - j + 56. Let d(c) = 69*c**2 - 6*c + 279. Let z(n) = 4*d(n) - 21*s(n). Factor z(k).
3*(k - 5)*(k + 4)
Let g(t) = 2*t**4 - 25*t**3 - 20*t**2 + 9*t. Let n(o) = -3*o**4 + 50*o**3 + 39*o**2 - 19*o. Let b(w) = -20*g(w) - 8*n(w). Factor b(y).
-4*y*(y - 7)*(y + 1)*(4*y - 1)
Let d = 13/3 - 3. Suppose 3 = -v + n, -35*v = -36*v + 5*n - 23. Factor -d + 4*h - 1/3*h**4 - 13/3*h**v + 2*h**3.
-(h - 2)**2*(h - 1)**2/3
Let w(b) be the first derivative of -7*b**3 - 153*b**2/2 - 240*b - 2719. Suppose w(k) = 0. Calculate k.
-5, -16/7
Let d(c) be the first derivative of 255 + 0*c - 4/3*c**3 + 0*c**2 + 44/5*c**5 + 10*c**4. Let d(m) = 0. Calculate m.
-1, 0, 1/11
Let m = 411/145 - -1353/290. Let m*l**2 + 69/4*l**3 + 3/2*l**4 - 33/4*l + 0 = 0. Calculate l.
-11, -1, 0, 1/2
Suppose -4719*o + 2*z = -4721*o + 12, 0 = -2*o - 3*z + 13. What is m in -38/5*m**2 + 0 - 2/5*m**o + 2/5*m**3 + 0*m + 38/5*m**4 = 0?
-1, 0, 1, 19
Let j = 36/343 - -1532/343. Factor -j*m - 52/7*m**2 - 4/7 - 24/7*m**3.
-4*(m + 1)**2*(6*m + 1)/7
Let f(q) be the second derivative of 2/15*q**6 + 2*q - 1/3*q**4 - 2/5*q**5 - 10 + 0*q**2 + 4/3*q**3. Determine i so that f(i) = 0.
-1, 0, 1, 2
Let a(x) be the second derivative of -x**6/6 + 259*x**5/4 + 5*x**4/4 - 3895*x**3/6 + 1295*x**2 - x + 778. Solve a(g) = 0.
-2, 1, 259
Let l = 47 - 44. Suppose 6*n - x - 35 = 3*n, 5*n - l*x - 57 = 0. Suppose -9*g**3 - 3*g + 8 - 1 - n*g**2 - 7 = 0. What is g?
-1, -1/3, 0
Let z be (9/18)/(78/312). Factor 0*h**z - 1/3*h**3 + h - 2/3.
-(h - 1)**2*(h + 2)/3
Let n(p) be the third derivative of 5*p**8/672 - p**6/2 - 8*p**5/3 - 5*p**4 + 1562*p**2. Factor n(o).
5*o*(o - 6)*(o + 2)**3/2
Solve 3/7*r**4 - 513/7*r**2 - 414/7 - 45/7*r**3 - 879/7*r = 0 for r.
-6, -1, 23
Let o(a) = -a**3 - 5*a**2 + 4346*a + 21732. Let v be o(-5). Find k such that 9261/4 - 1323/4*k + 63/4*k**v - 1/4*k**3 = 0.
21
Suppose 22*k + 1/2*k**3 + 51/5*k**2 + 36/5 = 0. Calculate k.
-18, -2, -2/5
Let x(o) = -o**3 + 21*o**2 - 32*o - 97. Let q be x(19). Let t(z) be the first derivative of 2/9*z**3 - q + 1/12*z**4 + 0*z**2 + 0*z. Factor t(h).
h**2*(h + 2)/3
Let h(p) be the second derivative of p**6/6 - 119*p**5/6 - 15445*p**4/36 - 7310*p**3/3 + 2730*p**2 - 5*p - 44. Solve h(k) = 0 for k.
-6, 1/3, 91
Let s = 196 + -106. Factor 874*f + s*f**3 + 485*f**2 - 9*f**4 + 14*f**4 - 154*f + 320.
5*(f + 1)**2*(f + 8)**2
Factor 226*o**4 + 3793*o**3 - 6845*o**2 - 157*o**4 - 2794*o**3 + o**5.
o**2*(o - 5)*(o + 37)**2
What is c in 0 + 2/15*c**3 + 64/5*c + 44/15*c**2 = 0?
-16, -6, 0
Let j(h) = 3544*h**3 + 8612*h**2 - 8816*h + 1840. Let z(w) = -709*w**3 - 1722*w**2 + 1764*w - 368. Let p(t) = 9*j(t) + 44*z(t). Let p(n) = 0. What is n?
-23/7, 2/5
Let s(v) = -21*v + 18. Let d be (-4)/(-26) + (-150)/(-39). Let x(n) = n**2 + n + 1. Let p(l) = d*x(l) + 4*s(l). Suppose p(u) = 0. What is u?
1, 19
Let h(z) = 4*z**4 - 959*z**3 + 59511*z**2 - 115191*z + 9. Let b(a) = 2*a**4 - 480*a**3 + 29756*a**2 - 57596*a + 4. Let o(t) = -9*b(t) + 4*h(t). Factor o(u).
-2*u*(u - 120)**2*(u - 2)
Let g = -18 - -23. Suppose 3*v + 5*m - 13 = 12, 4*v - 30 = -g*m. Suppose -3*s**v + 2*s**3 - 2*s**4 - 6*s**2 + s**5 + 8*s**2 = 0. What is s?
-1, 0, 1
Let j = -10369 - -31123/3. Let r(p) be the first derivative of 0*p - 8/3*p**2 + 7/3*p**4 - 17 - j*p**3. Solve r(n) = 0 for n.
-2/7, 0, 2
Let y(a) be the second derivative of 5*a**4/12 + 30*a**3 - 185*a**2/2 + 3328*a. Factor y(r).
5*(r - 1)*(r + 37)
Let k(t) be the third derivative of 49*t**6/30 + 266*t**5 - 382*t**4 + 656*t**3/3 + 3*t**2 - 142*t. Factor k(o).
4*(o + 82)*(7*o - 2)**2
Let r be 426835/94353 - 12/14. Solve -1/3*f**2 - 10/3 - r*f = 0 for f.
-10, -1
Let x = -103 + 109. Let 32*h**2 + 2*h**4 + 10*h**3 - 26*h**4 - 9*h**5 + x - 36*h**3 + 35*h - 14*h**4 = 0. What is h?
-3, -1, -2/9, 1
Suppose -62 = 93*c - 248. Let x(g) be the second derivative of 0*g**3 + 13*g + 0 + 1/18*g**4 + 0*g**c. What is b in x(b) = 0?
0
Suppose 4*r - 24*m + 20*m = 64, 5*m - 100 = -5*r. Factor 58*y**2 - 130*y + 24 - 40 - 6*y**3 - r - 16.
-2*(y - 5)**2*(3*y + 1)
Let r(b) be the second derivative of -b**6/1440 + 7*b**5/480 + b**4/12 - 31*b**3/6 + 2*b**2 - 7*b + 1. Let i(u) be the second derivative of r(u). Factor i(c).
-(c - 8)*(c + 1)/4
Let j = -1705 - -1536. Let c = -167 - j. Let -3*o**3 - 1/2*o + 0 + c*o**4 + 2*o**2 - 1/2*o**5 = 0. What is o?
0, 1
What is v in -16/9*v + 4/9*v**3 + 2/9*v**4 - 38/9*v**2 + 40/3 = 0?
-5, -2, 2, 3
Determine z so that 1/5*z**2 + 57/10 - 5/2*z = 0.
3, 19/2
Suppose 0 = 2264*m - 2297*m + 66. Let g(l) be the first derivative of -2/9*l**3 + 1/12*l**4 + 4 - 1/6*l**m + 2/3*l. Factor g(z).
(z - 2)*(z - 1)*(z + 1)/3
Suppose -12 = 3*s, -n = -4*s - 0*s - 12. Let i(h) = 9*h**2 + 17*h - 90. Let g(v) = 5*v**2 + 8*v - 45. Let t(m) = n*i(m) + 7*g(m). Factor t(p).
-(p - 3)*(p + 15)
Let g(f) be the first derivative of -12*f + 3/2*f**4 - 3/5*f**5 + 53 - 6*f**2 + 3*f**3. Determine u, given that g(u) = 0.
-1, 2
Let s(q) be the first derivative of -q**4/2 - 78*q**3 - 231*q**2 - 230*q + 8373. Factor s(u).
-2*(u + 1)**2*(u + 115)
Let -316/15*c**2 + 16/3 + 136/15*c - 4/3*c**5 - 178/15*c**4 - 458/15*c**3 = 0. Calculate c.
-5, -2, -2/5, 1/2
Let p be ((-2)/(-4)*1)/((-2)/(-4)). Suppose -3*a = p - 7. Factor -4/3*m - 4/3 - 1/3*m**a.
-(m + 2)**2/3
Let z(w) be the second derivative of -1/300*w**6 + 7*w + 0 + 8*w**2 - 1/15*w**3 + 1/150*w**5 + 1/60*w**4. Let t(d) be the first derivative of z(d). Factor t(n).
-2*(n - 1)**2*(n + 1)/5
Suppose -5*p = -15, -4*x = -0*x + 4*p - 24. Solve 4*i**3 - 78*i**2 - i**3 + 156 - 116*i + x*i**3 + 34*i**2 - 2*i**3 = 0 for i.
-3, 1, 13
Let u = -2027 - -2027. Suppose u + 1/4*n**2 - 1/4*n**4 + 5/4*n - 5/4*n**3 = 0. Calculate n.
-5, -1, 0, 1
Let d be -20 + -10*3*322/(-420). Factor 0 + 2/9*r**5 + 0*r**2 + 0*r + 4/3*r**d - 14/9*r**4.
2*r**3*(r - 6)*(r - 1)/9
L