 q = f - 195. Factor 0 + 1/9*m + q*m**4 - 2/9*m**3 + 1/9*m**5 + 0*m**2.
m*(m - 1)**2*(m + 1)**2/9
Let v(t) be the second derivative of 6*t + 1 + 1/15*t**4 - 2/15*t**3 - 4/5*t**2. Let v(k) = 0. What is k?
-1, 2
Let d be (6/21)/(40/125780). Let i = d - 898. Factor -i*x**2 + 9/7*x**3 + 0 - 6/7*x.
3*x*(x - 1)*(3*x + 2)/7
Let q(k) be the third derivative of -k**6/24 + 89*k**5/12 + 5*k**4/24 - 445*k**3/6 - 288*k**2 + 2*k - 12. Factor q(u).
-5*(u - 89)*(u - 1)*(u + 1)
Let y = 0 - -2. Let t = -6/128899 - -257816/386697. What is a in -t*a + a**4 + 0 - a**y + 1/3*a**3 + 1/3*a**5 = 0?
-2, -1, 0, 1
Let j = -390 + 389. Let u be (j - -1) + (-42)/(-49). Solve u*z**3 - 2/7*z**4 - 8*z + 12/7*z**2 + 48/7 = 0 for z.
-3, 2
Factor 8160*g**3 + 504356604459 - 6000073*g**2 + 7379302*g**2 + 3773184000*g + 6943971*g**2 + 3*g**4 + 137084675541.
3*(g + 680)**4
Let f(r) be the first derivative of r**7/210 - r**6/18 - 2*r**5/15 + 10*r**4/3 - 29*r**3 - 2*r + 130. Let k(z) be the third derivative of f(z). Factor k(v).
4*(v - 5)*(v - 2)*(v + 2)
Let k(n) be the first derivative of 4*n**3/3 - 6940*n**2 + 12040900*n + 4716. Factor k(s).
4*(s - 1735)**2
Let v(h) be the third derivative of -h**8/1176 + 2*h**7/735 + 3*h**6/140 - 3*h**5/35 - 832*h**2. Let v(f) = 0. What is f?
-3, 0, 2, 3
Let v be (393/(-1310))/(-3*(-9)/(-270)). Find t, given that 16/5*t**v + 32/15*t**4 + 0 + 6/5*t**2 + 0*t = 0.
-3/4, 0
Let m(s) be the second derivative of 12/5*s**2 + 4/15*s**3 + 0 - 9/10*s**4 + 11/50*s**5 + 52*s. Factor m(t).
2*(t - 2)*(t - 1)*(11*t + 6)/5
Let n(b) = b**2 - 2*b - 6. Suppose -2*x - 2 = 3*i, -x = 4*i + 9 - 3. Let w be n(i). Suppose -4*y - 25*y**w + 29*y - 15*y - 5*y**4 + 20*y**3 = 0. Calculate y.
0, 1, 2
Let c = 11975/23958 + 2/11979. Let v be 4 - 0 - (63 + -67). Suppose -c*n**3 - 12*n - 9/2*n**2 - v = 0. Calculate n.
-4, -1
Let w(a) be the second derivative of 1/6*a**3 - 87*a - 1/80*a**5 + a**2 - 1/24*a**4 + 0. Suppose w(q) = 0. Calculate q.
-2, 2
Let z(s) = -2*s**3 + 2*s**2 - s + 10. Let i be z(-5). Factor 5*r**3 + r**3 + 3*r**3 + i*r**2 + 0*r**3 - 14*r**3 - 5115*r + 4805.
-5*(r - 31)**2*(r - 1)
Let n = -101 - -106. Let m be (-6 + n)/(-1 + -1). Factor -1/2*p + 1/2*p**2 + 1/2*p**3 - m.
(p - 1)*(p + 1)**2/2
Let r(u) be the first derivative of 4*u**3 - 337*u**2/4 + 7*u + 1020. Solve r(z) = 0.
1/24, 14
Let d = -409 - -413. Solve 71*c**3 + 45*c**d + 5*c**5 - 4*c**3 + 63*c**3 + 170*c**2 + 25 + 105*c = 0.
-5, -1
Let i = -10739 - -10742. Determine q so that 0 - 1/5*q**i + 3/5*q**2 + 0*q = 0.
0, 3
Let n(o) be the third derivative of -o**2 + 80/3*o**3 + 0 + 42*o + 5/2*o**4 + 1/12*o**5. Solve n(u) = 0.
-8, -4
Let s(x) be the first derivative of x**5/60 - x**4/4 - 7*x**3/6 + 11*x**2/2 + 62. Let o(p) be the second derivative of s(p). Find z such that o(z) = 0.
-1, 7
Suppose 83*b - 110 - 70 = -14. Let r(c) be the second derivative of 0*c**4 - 4*c + 0 - 1/75*c**6 + 0*c**b + 0*c**3 - 1/50*c**5. Factor r(a).
-2*a**3*(a + 1)/5
Suppose -y + 9 = -3*q + 6, -2*q = 6. Let b be 85/(-675)*3 + y/(-10). Factor -2/9*c**3 - b + 2/9*c + 2/9*c**2.
-2*(c - 1)**2*(c + 1)/9
Let p(l) be the second derivative of 2*l**7/35 + 26*l**6/75 - 28*l**5/25 - 28*l**4/5 + 64*l**3/3 - 128*l**2/5 - l - 529. Find d such that p(d) = 0.
-4, 2/3, 1, 2
Factor -1/3*m**2 + 28*m - 164/3.
-(m - 82)*(m - 2)/3
Suppose -452 + 485 = 11*f. Suppose 0 = -4*y + 8, -114 = f*i + 5*y - 136. Factor -40/3*q**3 - 72*q + 4/3*q**i + 48*q**2 + 36.
4*(q - 3)**3*(q - 1)/3
Let q(x) be the third derivative of x**7/1470 + 61*x**6/210 - x**5/420 - 61*x**4/42 - 2059*x**2. Factor q(b).
b*(b - 1)*(b + 1)*(b + 244)/7
Let c(j) be the first derivative of -73*j**3/4 - 105*j**2/4 + 9*j/4 - 7949. Suppose c(m) = 0. What is m?
-1, 3/73
Let p(u) = -7*u**4 - 2*u**3 - u**2 + u + 1. Let x(m) = -57*m**4 - 46*m**3 - 289*m**2 - 688*m + 1016. Let l(q) = -24*p(q) + 3*x(q). Factor l(a).
-3*(a - 1)*(a + 7)*(a + 12)**2
Let c(k) = -6*k - 33. Suppose y - 48 = 9*y. Let r be c(y). Determine u so that r*u + 9 - 3 - 2 + 2 - 3*u**2 = 0.
-1, 2
Factor -1156*h + 153/2*h**2 + 1/4*h**4 + 10*h**3 - 54043/4.
(h - 11)*(h + 17)**3/4
Suppose 92 - 102 = -5*z. Let p(f) be the second derivative of 0*f**z + 1/66*f**4 + 0 + 7*f - 1/33*f**3. What is y in p(y) = 0?
0, 1
Let f(n) = 5*n**3 - 49*n**2 + 60*n - 21. Suppose 108*h + 10 = 118*h. Let j(c) = -c**3 + c**2 - 1. Let y(r) = h*f(r) - 5*j(r). What is q in y(q) = 0?
2/5, 1, 4
Let r(u) = 3*u. Let o(p) = -8*p + 77. Let d(m) = -2*o(m) - 10*r(m). Let v be d(-11). Factor 0 + v*q + 0*q**2 - 1/3*q**3.
-q**3/3
Factor -55*t + 4*t**3 + 0 + 1/2*t**4 - 43/2*t**2.
t*(t - 5)*(t + 2)*(t + 11)/2
Suppose 0 - 16/3*b + 34/9*b**4 + 22*b**3 + 236/9*b**2 = 0. Calculate b.
-4, -2, 0, 3/17
Suppose -9*h + 126 = 0, -2*f - 126 + 120 = -h. Factor -12005/2*a**f - 10780*a**2 - 13720*a**3 - 360 - 3360*a.
-5*(7*a + 2)**2*(7*a + 6)**2/2
Let q(o) be the third derivative of o**6/720 + 23*o**5/240 - 64*o**3/3 - 27*o**2. Let l(x) be the first derivative of q(x). Solve l(c) = 0 for c.
-23, 0
Factor 2016*i**2 - 1526*i + 2*i**3 + 2*i**3 + 2024 - 1239*i - 1279*i.
4*(i - 1)**2*(i + 506)
Let k be ((-2)/(-2))/(3/2 + -1). Let o(c) be the second derivative of 3/10*c**k - 12*c + 0 - 1/60*c**4 + 1/15*c**3. Factor o(v).
-(v - 3)*(v + 1)/5
Factor 0 + 69*f**4 - 1/2*f**5 + 4692*f**2 - 2312*f - 4897/2*f**3.
-f*(f - 68)**2*(f - 1)**2/2
Factor -2*k**2 - 57 - 23 - 2*k**2 + 3*k**2 - 6791*k + 6809*k.
-(k - 10)*(k - 8)
Suppose 3*k + 18 = 4*l, 4*l - 24 = -113*k + 117*k. Let v(r) be the first derivative of 27 + r**2 + 11/5*r**5 + l*r - 11/3*r**3 - 1/2*r**4. Factor v(q).
q*(q - 1)*(q + 1)*(11*q - 2)
What is f in -50/9*f - 2/9*f**4 + 2/3*f**2 + 2*f**3 - 4 = 0?
-1, 2, 9
Let w(a) be the second derivative of -1/24*a**4 + 1/40*a**5 + a**2 - 21*a - 1/3*a**3 + 2. Determine j so that w(j) = 0.
-2, 1, 2
Let a = 10852933/83058 + -7/27686. Factor -56/3*j - 2/3*j**2 - a.
-2*(j + 14)**2/3
Let t(k) be the first derivative of -44*k**5 + 0*k + 615/8*k**4 - 100/3*k**3 + 88 - 100/3*k**6 + 5*k**2. Let t(w) = 0. Calculate w.
-2, 0, 1/4, 2/5
Let j(u) be the first derivative of 1/26*u**4 - 4/13*u**3 + 48/13*u - 19/13*u**2 + 247. Factor j(o).
2*(o - 8)*(o - 1)*(o + 3)/13
Let v(h) be the second derivative of -h**5/4 + 53*h**4/12 - 25*h**3 + 36*h**2 - 17*h - 125. Factor v(a).
-(a - 6)*(a - 4)*(5*a - 3)
Let s = 833 + -743. Find j such that 62*j + 1176 + s*j**2 - 94*j**3 + 97*j**3 + 694*j = 0.
-14, -2
Let g(x) be the third derivative of x**8/84 + 8*x**7/3 + 703*x**6/3 + 27380*x**5/3 + 253265*x**4/6 - 29986576*x**3/3 - 4702*x**2. Suppose g(d) = 0. What is d?
-37, 8
Let j = 3263 - 3263. Let w(y) be the third derivative of 0 + j*y**3 - 1/210*y**7 + 0*y + 1/8*y**4 + 11*y**2 + 1/60*y**5 - 1/40*y**6. Factor w(g).
-g*(g - 1)*(g + 1)*(g + 3)
Suppose -3*g + 12*g = -9. Let i be (-6 - g - -1)*1*-11. Find l such that 2*l**5 + 5*l**5 + 12*l - i*l + 16 + 20*l**3 - 4*l**4 + 4*l**2 - 11*l**5 = 0.
-2, 1
Determine f so that -1/5*f**2 + 1/5*f**3 - 24/5 - 26/5*f = 0.
-4, -1, 6
Factor -280 - 1162*k**3 + 392*k**3 + 390*k**3 - 50*k**2 - 260*k + 385*k**3.
5*(k - 14)*(k + 2)**2
Let o(i) be the third derivative of i**6/360 + 37*i**5/180 + 47*i**4/8 + 171*i**3/2 + 3735*i**2. Determine w, given that o(w) = 0.
-19, -9
Let 40840*w**2 - 2004*w - 81676*w**2 + 40834*w**2 - 502002 = 0. What is w?
-501
Let q(u) = -7*u**2 - 103*u - 96. Let d(w) = 2*w**2 + 26*w + 24. Let f = 7 - 40. Let m = -42 - f. Let o(x) = m*d(x) - 2*q(x). Determine i, given that o(i) = 0.
-6, -1
Let p = 3/8 - 1/4. Let o = -1568 - -1570. Factor p*s**o + 3/8 - 1/2*s.
(s - 3)*(s - 1)/8
Let d(b) be the third derivative of b**8/26880 + 31*b**7/6720 + b**6/32 - b**5/20 + 40*b**3/3 + 208*b**2. Let i(t) be the third derivative of d(t). Factor i(z).
3*(z + 1)*(z + 30)/4
Let l(w) be the third derivative of w**8/168 - 23*w**7/63 - 17*w**6/15 + 26*w**5/15 + 40*w**4/9 + 260*w**2 + 1. Solve l(a) = 0 for a.
-2, -2/3, 0, 1, 40
Let l = -109/71 + 1037/213. Suppose -2/3*w**2 + l*w - 4 = 0. Calculate w.
2, 3
Suppose 0 = 4*s - 55 - 221. Factor -t**2 - 13*t + s*t + 8*t - 477 - 547.
-(t - 32)**2
Let l(u) be the third derivative of u**6/150 - 7*u**5/3 + 7387*u**4/30 + 15842*u**3/5 - 2*u**2 + 6097*u. Find d, given that l(d) = 0.
-3, 89
What is m in 0*m + 306/5*m**2 + 0 - 1/5*m**3 = 0?
0, 306
Factor 182*l**3 - 8*l**4 + 20*l**4 + 7