**2 - 12/13 = 0. What is k?
2/5, 1, 3
Let j(b) = -37*b**4 + 132*b**3 - 154*b**2 + 65*b - 9. Let z(i) = i**4 + 2*i**3 - i + 1. Let l(f) = j(f) + z(f). Suppose l(h) = 0. What is h?
2/9, 1/2, 1, 2
Let j(t) be the second derivative of -2 - 1/54*t**4 - 2/27*t**3 + 0*t**2 - 8*t + 1/45*t**5 + 1/135*t**6. Find b, given that j(b) = 0.
-2, -1, 0, 1
Let r(u) be the first derivative of -28 + 0*u + 10*u**2 + 5/3*u**3. Factor r(a).
5*a*(a + 4)
Determine p, given that -138*p + 660*p - 410 + 256 + 2*p**2 + 154 = 0.
-261, 0
Factor -55/3*h + 16/3*h**2 + 0 - 1/3*h**3.
-h*(h - 11)*(h - 5)/3
Let s(r) be the second derivative of 0 + 0*r**2 + 1/28*r**4 - 11*r - 1/70*r**6 + 3/14*r**3 - 9/140*r**5. Determine d, given that s(d) = 0.
-3, -1, 0, 1
Suppose 0 = 6*q - q + 45. Let y be (-423)/q + 0 + -2. Let 1 - 5*z**2 - 1 - 30*z + y*z = 0. Calculate z.
0, 3
Factor -999*x - 109*x**2 + 54*x**2 + 385*x + 53*x**2.
-2*x*(x + 307)
Suppose -8*i = -429 + 381. Let r(y) be the third derivative of -1/156*y**4 + 0 + 0*y - 10*y**2 + 1/390*y**5 - 1/39*y**3 + 1/780*y**i. Solve r(v) = 0.
-1, 1
Suppose 4*p - 84 = -4*t, p - 4*p + t + 47 = 0. Suppose p*v - 22*v = -25. Suppose 5*o - 11*o**2 + 17*o**4 - 25*o**4 + 7*o**4 - o + 9*o**3 - o**v = 0. What is o?
-4, 0, 1
Let q be 2*(180/(-600) + (-667)/(-90) - 7). Find f such that -8/9*f - q*f**4 + 2/3*f**3 + 0*f**2 + 0 = 0.
-1, 0, 2
Suppose 4*w = -j - j - 932, 5*w = -5*j - 2320. Let g = -244 - j. Suppose -g - 5*f**2 + 99 - 201 + 80*f = 0. Calculate f.
8
Let v be (-1 - (2 - 1)) + 20/5. Let u = -513 - -4619/9. Factor -2/3*z - 2/3*z**v - u - 2/9*z**3.
-2*(z + 1)**3/9
Determine u, given that 465 + 463/2*u - 1/2*u**2 = 0.
-2, 465
Let p(l) = -54*l + 381. Let x be p(7). What is q in -8*q**4 + 24*q**2 - 13*q**4 + 3*q**3 - 14*q**4 + 32*q**4 - 24*q**x = 0?
-8, 0, 1
Let t(h) be the second derivative of -5/2*h**3 + 227*h + 3/4*h**5 + 0 + 3*h**2 - 5/4*h**4 + 3/10*h**6. Determine r so that t(r) = 0.
-2, -1, 1/3, 1
Let g(c) be the second derivative of 5*c**4/12 - 3415*c**3/3 + 2332445*c**2/2 + 1358*c. Let g(u) = 0. Calculate u.
683
Let y be (-27)/(-18) + 2/4. Let 3*l**3 + 3641*l**2 - 16*l**3 - 3653*l**y - 5*l - l**5 + l - 6*l**4 = 0. Calculate l.
-2, -1, 0
Let q(z) be the second derivative of 0*z**2 + 58*z - 1/20*z**5 + 0*z**4 + 1/6*z**3 + 0. Factor q(f).
-f*(f - 1)*(f + 1)
Find q, given that -6/5*q**4 - 35784*q + 25480 - 17886/5*q**2 - 572/5*q**3 = 0.
-35, -26, 2/3
Let b(z) be the third derivative of -z**6/60 + 143*z**5/15 - 569*z**4/12 + 284*z**3/3 - 155*z**2 - 2*z + 1. Factor b(j).
-2*(j - 284)*(j - 1)**2
Let i = -71/682 + 1532269/4774. Let w = 321 - i. Factor 0 + 0*m + w*m**2.
m**2/7
Let z be (-91 + 106)*5/25. Factor 1/3*w**z + 40/3 - 12*w + 2*w**2.
(w - 2)**2*(w + 10)/3
Let s(p) be the second derivative of -5*p**4/12 + 4315*p**3/6 + 2160*p**2 + 91*p - 30. Suppose s(h) = 0. What is h?
-1, 864
Let p = -16438 - -25960. Let p + 309*j + 20*j**2 + 351*j - 15*j**2 + 12258 = 0. What is j?
-66
Let c(n) be the third derivative of -7*n**6/6 + 142*n**5/15 - 113*n**4/6 + 4*n**3 + 1743*n**2. Factor c(z).
-4*(z - 3)*(z - 1)*(35*z - 2)
Let z(i) be the second derivative of 0*i**3 - 5 + 2*i + 0*i**4 - 1/5*i**5 - 1/10*i**6 + 1/42*i**7 + 0*i**2. Factor z(o).
o**3*(o - 4)*(o + 1)
Factor -16*d**4 + 6 - 5*d - 22*d**3 + 27*d**3 + 28*d**4 - 11*d**4 - 7*d**2.
(d - 1)**2*(d + 1)*(d + 6)
Determine d, given that -3*d**5 + 121*d**3 + 156*d**2 + 54*d**4 - 318*d**3 - 10*d**3 = 0.
0, 1, 4, 13
Suppose 4*v + 11*m - 261 + 176 = 0, -5*v = 2*m - 24. Factor 2/15*g**v + 2/15*g - 4/15.
2*(g - 1)*(g + 2)/15
Let s(q) be the first derivative of 1/30*q**5 + 1/18*q**6 + 0*q + 0*q**2 + 1/9*q**3 + 16 - 5/24*q**4. What is j in s(j) = 0?
-2, 0, 1/2, 1
Suppose -63*y - 613 = -1621. Factor -320 - y*r - 1/5*r**2.
-(r + 40)**2/5
Let k(z) be the second derivative of -4/3*z**3 + 5/3*z**4 + 0 + 2/15*z**6 - 154*z + 0*z**2 - 4/5*z**5. Determine u so that k(u) = 0.
0, 1, 2
Let j(b) = 2*b**3 + 49*b**2 + 7*b - 10. Let w(i) = -3*i**3 - 63*i**2 - 6*i + 8. Let h(r) = 4*j(r) + 3*w(r). Factor h(u).
-(u - 8)*(u - 1)*(u + 2)
Let q(l) be the second derivative of l**5/15 - 340*l**4/9 + 57800*l**3/9 - 2*l - 4942. What is f in q(f) = 0?
0, 170
Let d be ((-2)/(-8))/(-2281 - -2282). Factor 3/4*w**4 + d*w**5 - 3/4*w**2 + 0 + w - 5/4*w**3.
w*(w - 1)**2*(w + 1)*(w + 4)/4
Suppose 2*i = 2*w, 8*w = 3*w - 3*i + 16. Let v(o) be the second derivative of 0 + 5*o**w - 15/4*o**4 - 35/6*o**3 - 10*o. Factor v(p).
-5*(p + 1)*(9*p - 2)
Let x(o) be the second derivative of 2*o**6/15 - 17*o**5 - 175*o**4/3 + 170*o**3/3 + 348*o**2 + 184*o - 1. Let x(c) = 0. What is c?
-2, -1, 1, 87
Let a = 296 - 294. Factor -15*s + 24*s**a + 6*s - 24 + 4*s**3 + 5*s.
4*(s - 1)*(s + 1)*(s + 6)
Let r be 12/(6*2/6). Suppose -q + 0*q = s - r, -2*s = -2*q. Find f, given that 0*f**2 + q*f**2 + 0*f**2 + 3*f = 0.
-1, 0
Let s(p) = p**3 - 2*p**2 - 45*p + 5. Let b be s(0). Find u such that -153/4*u**3 - 45/4*u**b - 3*u - 69/2*u**4 + 0 - 18*u**2 = 0.
-1, -2/3, -2/5, 0
Let z be ((-12)/20 + 48/105)/((-65)/281580*12). Determine n, given that 16/7*n**2 - 152/7*n + z = 0.
19/4
Let m(f) be the third derivative of -f**6/150 + 182*f**5/75 - 12*f**4 - 62*f**2 - f. What is h in m(h) = 0?
0, 2, 180
Let t(y) = 8*y**4 + y**3 - 105*y**2 + 159*y - 71. Let k(i) = -2*i**4 + i**3 - i**2 - i + 11. Let g(v) = 2*k(v) + 2*t(v). Find x, given that g(x) = 0.
-5, 2/3, 1, 3
Let y = 53 + -51. Let a(h) = 3*h - 2*h**y - 3*h - 2 + 2*h. Let i(z) = 4*z**2 - 4*z + 5. Let o(l) = -5*a(l) - 2*i(l). Let o(n) = 0. Calculate n.
0, 1
Let p = 1624 + -928. Let y = p + -4854/7. Factor 46/7*a - y*a**3 + 8/7 + 60/7*a**2.
-2*(a - 4)*(3*a + 1)**2/7
Suppose 5*r = -129*p + 130*p + 29, -r - 3*p - 7 = 0. Let g(c) be the third derivative of -1/40*c**4 + 1/600*c**r + 3/20*c**3 + 13*c**2 + 0 + 0*c. Factor g(m).
(m - 3)**2/10
Factor -1/4*o**3 - 9 - o**2 + 41/4*o.
-(o - 4)*(o - 1)*(o + 9)/4
Factor 3*k - 220/3 + 1/3*k**2.
(k - 11)*(k + 20)/3
Let d(q) be the second derivative of q**4/32 + 57*q**3/16 - 177*q**2/8 - 805*q. What is p in d(p) = 0?
-59, 2
Let s(a) be the second derivative of 3*a**2 - 1/36*a**4 - 2*a - 6 + 7/18*a**3. Factor s(c).
-(c - 9)*(c + 2)/3
Suppose -z - 14*z = -225. Suppose -3*h - 5*g = -35, 4 = g + 9. Factor -z*q - 12*q**4 - 3*q + 2*q + 16*q**2 + h*q**3.
-4*q*(q - 2)*(q + 1)*(3*q - 2)
Let b(i) be the first derivative of 18*i - i**3 + 18 + 15/2*i**2. Factor b(t).
-3*(t - 6)*(t + 1)
Let n(h) be the first derivative of 2*h**3/3 + 1199*h**2 - 2400*h + 461. Solve n(d) = 0 for d.
-1200, 1
Factor 33/2*o**2 + 16*o + 21/4 + 6*o**3 + 1/4*o**4.
(o + 1)**3*(o + 21)/4
Solve -800/13*k + 798/13 + 2/13*k**2 = 0.
1, 399
Find h, given that 2*h + 18*h**2 + 148*h - 4*h**3 + 18*h**2 + 56*h**2 + 50*h = 0.
-2, 0, 25
Factor -37*l - 185 - l**2 - 103 + 102.
-(l + 6)*(l + 31)
Let h(t) be the first derivative of 1/7*t**6 - 2/7*t**2 + 0*t + 3/14*t**4 + 2/7*t**3 - 2/5*t**5 - 61. What is a in h(a) = 0?
-2/3, 0, 1
Let w(x) = 5*x**3 + 103*x**2 + 104*x + 2. Let t(c) = -60*c**3 - 1235*c**2 - 1250*c - 25. Let s(z) = -2*t(z) - 25*w(z). Factor s(f).
-5*f*(f + 1)*(f + 20)
Let m be (-4)/8*-28 - 8. Suppose -3*s + 3 = f - 2*s, -4*f + m = -2*s. Factor -3/2*v**3 + 9/2*v - 3*v**f + 0.
-3*v*(v - 1)*(v + 3)/2
Let u = 600 + -596. Factor 42*p**2 + 55*p**3 - 41*p**4 - 42*p**2 + 201*p**u - 15*p**5.
-5*p**3*(p - 11)*(3*p + 1)
Suppose -19 + 4 = -3*o. Suppose -37 = -o*z + 183. Factor 32*a - 25 - 4*a**2 + 5 - z.
-4*(a - 4)**2
Let h = -989929/3 + 329978. Factor -5/3 + 0*g + h*g**2.
5*(g - 1)*(g + 1)/3
Let z(t) = -t**5 + 9*t**4 - 3*t**3 + 3*t**2 + 4*t - 8. Let i(b) = 143 + b - b**2 - b**4 - b**3 - 74 - 68. Let s(r) = 4*i(r) + z(r). Let s(o) = 0. Calculate o.
-1, 1, 2
Factor 281/5*b + 28 + 1/5*b**3 + 142/5*b**2.
(b + 1)**2*(b + 140)/5
Let z(h) be the third derivative of -3/160*h**6 + 27/32*h**4 + 0*h - 9/4*h**3 - 7/80*h**5 + 0 + 1/280*h**7 - 116*h**2. Let z(j) = 0. What is j?
-3, 1, 2, 3
Factor 3720*r**3 - 3760*r**3 + 124*r**2 - 4*r**4 + 12 + 16 - 28 + 880*r.
-4*r*(r - 5)*(r + 4)*(r + 11)
Let a(x) be the first derivative of x**6/330 + x**5/110 + x**4/132 + 11*x**2/2 + 3*x + 38. Let n(g) be the second derivative of a(g). Factor n(z).
2*z*(z + 1)*(2*z + 1)/11
Let h(t) = 40*t**3 - 19*t**2 + 37*t + 2. Let a be h(3). Let m = 4089/4 - a. What is y in m*y**3 + 0 + 1/2*y - 3/4*y*