2)**2/7
Let z(k) be the first derivative of 16*k - 1/3*k**2 + 0*k**3 - 39 + 1/18*k**4. Let w(c) be the first derivative of z(c). Factor w(l).
2*(l - 1)*(l + 1)/3
Let q(a) = 3*a + 4. Let i be q(0). Determine u so that 29 + 8*u - 10 - 2*u**4 + i*u**3 - 19 + 14*u**2 = 0.
-1, 0, 4
Let w = -1/636 + 989/22260. Let u(b) be the third derivative of 9/56*b**4 + 0 + 3*b**2 + 1/280*b**6 + 0*b + 2/7*b**3 + w*b**5. Factor u(p).
3*(p + 1)**2*(p + 4)/7
Let n = -6857 - -102856/15. Let d(t) be the third derivative of 1/3*t**3 - 13*t**2 + 0*t**4 + 1/105*t**7 + 0*t - n*t**5 + 0 + 0*t**6. Factor d(b).
2*(b - 1)**2*(b + 1)**2
Let d = -10/6371 + -2165930/133791. Let m = d - -114/7. Factor -m*s**3 - 2/7*s**2 + 0*s + 0.
-2*s**2*(s + 3)/21
Let t(s) = -8*s**3 + 178*s**2 + 2838*s + 8656. Let j(r) = 3*r**3 - 58*r**2 - 948*r - 2885. Let n(u) = -14*j(u) - 5*t(u). Suppose n(g) = 0. What is g?
-17, -5
Let u be (-4)/(-70) + 5665/1925. Let w(i) be the third derivative of -1/6*i**4 + 0 - 1/210*i**7 + 0*i - 1/24*i**6 + 0*i**u - 2/15*i**5 + 13*i**2. Factor w(s).
-s*(s + 1)*(s + 2)**2
Let c(j) be the first derivative of -j**6/3 + 12*j**5/5 - 100*j**3/3 + 81*j**2 - 72*j + 1906. Solve c(v) = 0 for v.
-3, 1, 3, 4
Let d(g) be the third derivative of g**7/525 - 3*g**6/100 - 36*g**5/25 + 36*g**4 - g**2 + 4*g + 21. Let d(t) = 0. Calculate t.
-15, 0, 12
Suppose -3*a - 33 = -3*m, a - 42*m + 11 = -43*m. Let i be ((-22)/a - 10)/(-12). Factor -5/9*l**2 + i + 13/9*l.
-(l - 3)*(5*l + 2)/9
Let n(r) be the first derivative of -2*r**3/3 - 2*r**2 + 576*r - 2432. Solve n(y) = 0 for y.
-18, 16
Let b(r) be the first derivative of -20/3*r**3 + 55/2*r**2 - 5/4*r**4 - 30*r + 178. Factor b(n).
-5*(n - 1)**2*(n + 6)
Let g be ((-20)/25)/((-3)/(-15)). Let t(o) = 24*o + 96. Let q be t(g). Solve q + 2/3*y + 1/6*y**3 + 2/3*y**2 = 0.
-2, 0
Suppose -1115*n + 1124*n - 2*d - 60 = 0, n - 3*d + 10 = 0. Factor 1/3*t**3 - 20/3*t - n - 2/3*t**2.
(t - 6)*(t + 2)**2/3
Let v = 3009 - 3003. Let i(t) be the second derivative of -2*t**3 + 0 + 1/10*t**6 + v*t**2 + 9*t - 3/4*t**4 + 3/10*t**5. Factor i(c).
3*(c - 1)**2*(c + 2)**2
Let o(v) be the third derivative of -v**5/90 + 5*v**4/4 + 46*v**3/9 - 4*v**2 + 2*v + 50. Factor o(u).
-2*(u - 46)*(u + 1)/3
Let a(s) be the first derivative of -4*s**5/45 - 14*s**4/3 - 12*s**3 - 80*s**2/9 + 2802. Determine f so that a(f) = 0.
-40, -1, 0
Let 11*h**3 + 4896*h**2 - 11*h**3 - 639840*h - 825766*h - 37454*h - 4*h**3 + 2986568 = 0. What is h?
2, 611
Let d(q) be the third derivative of -211*q**6/60 + 214*q**5/15 - 223*q**4/12 + 2*q**3 - 616*q**2. Factor d(a).
-2*(a - 1)**2*(211*a - 6)
Factor 209 + 198 - 2*j**2 - 596 + 310 + 88*j + 263.
-2*(j - 48)*(j + 4)
Solve -209 - 31*t**2 + 3*t**3 + 31*t - 183*t - 2*t**3 - 124 - 61*t = 0.
-3, 37
Let u(y) be the first derivative of 10*y**3 - 49/8*y**5 + 50*y + 48 - 35/8*y**4 - 5*y**2. Let i(t) be the first derivative of u(t). Factor i(h).
-5*(h + 1)*(7*h - 2)**2/2
Let w be (((-2280)/(-9))/(-5))/((-8)/12). Let a = 94 - w. Determine b so that a*b**3 + 128 - 34*b - 24*b**2 + 10*b**3 - b**4 - 94*b - 3*b**4 = 0.
-2, 1, 4
Factor 2/3*a**5 + 4564/3*a**3 + 66542*a + 340942/3 + 66*a**4 + 44492/3*a**2.
2*(a + 7)**4*(a + 71)/3
Factor 51*o + 3/2*o**2 + 99/2.
3*(o + 1)*(o + 33)/2
Let p(k) be the first derivative of -k**6/21 + 2384*k**5/35 - 237602*k**4/7 + 42657120*k**3/7 - 35754048*k**2 + 496793088*k/7 + 8105. Factor p(z).
-2*(z - 396)**3*(z - 2)**2/7
Factor 0 + 77/4*b**3 - 431/2*b**2 + 60*b.
b*(7*b - 2)*(11*b - 120)/4
Let n(l) = -l**3 + 14*l**2 - 41*l + 16. Let a be n(6). Suppose -h = 55 - a. Factor -16/5 + 32/5*w + 4/5*w**4 - 8/5*w**h - 12/5*w**2.
4*(w - 2)*(w - 1)**2*(w + 2)/5
Let y(t) be the third derivative of -t**5/300 - t**4/120 - 34*t**2 + 2*t + 5. Factor y(j).
-j*(j + 1)/5
Let q(o) = o**3 + 3*o**2 - 14*o + 10. Let y be q(2). Find f such that 10/3*f + 4/3 - 2/3*f**3 - 2/3*f**4 + 2*f**y = 0.
-1, 2
Let o(d) be the second derivative of -34*d - 5/12*d**3 + 1/120*d**5 - 1/36*d**4 + 0*d**2 + 0. Factor o(s).
s*(s - 5)*(s + 3)/6
Let w(q) be the third derivative of -33*q**7/490 + 223*q**6/210 + 69*q**5/14 + 89*q**4/14 - 11*q**3/42 - 7949*q**2. Find k, given that w(k) = 0.
-1, 1/99, 11
Factor 0*h**3 + 2469*h**2 - 1337*h**2 - 7416 + 2*h**3 - 2508*h - 1350*h**2 - 3*h**3.
-(h + 6)**2*(h + 206)
Let m(w) be the second derivative of 2571353*w**6/50 + 46115433*w**5/100 - 337431*w**4/20 + 493*w**3/2 - 9*w**2/5 - 29*w - 41. Factor m(n).
3*(n + 6)*(137*n - 1)**3/5
Solve 3/8*i**2 + 16224 - 156*i = 0.
208
Solve -1/2*c**2 + 0 + c = 0.
0, 2
Let z(d) be the second derivative of d**7/4200 - d**6/450 + 17*d**3/2 + 30*d. Let j(x) be the second derivative of z(x). Let j(b) = 0. Calculate b.
0, 4
Let r(d) be the first derivative of 42 - 1/9*d**3 + 0*d**2 - 1/6*d**4 + 1/5*d**5 + 0*d. Factor r(l).
l**2*(l - 1)*(3*l + 1)/3
Let b = -110 + 113. What is d in d**b - 71 + 141 - 72 - 3*d = 0?
-1, 2
Suppose 2*f - 36 + 4 = 5*p, 4*p = -16. Determine h so that -10 + f*h**3 + 63*h - 82*h - 5*h**3 - 8*h**2 = 0.
-1, 10
Let v(h) = h**2 - 11*h + 1. Let i be v(11). Let z(g) = 3*g**3 - 4*g**2 + 6*g - 3. Let o be z(i). Factor 20/21*a - 50/21 - 2/21*a**o.
-2*(a - 5)**2/21
Let d(y) be the first derivative of -y**5/60 + y**4/36 + 2*y**3/9 - 2*y**2/3 + 4*y + 37. Let p(x) be the first derivative of d(x). Factor p(r).
-(r - 2)*(r - 1)*(r + 2)/3
Suppose -7*x = 4*x + 4*x + 66 - 66. Find y, given that -12*y**3 + 2/3*y**4 + x*y + 34/3*y**2 + 0 = 0.
0, 1, 17
Let a be -1 - (2 - 86/26). Suppose -8*v - 18 = -5*x - 10*v, 0 = -2*x - 4*v + 20. Factor 0 - a*d - 2/13*d**x.
-2*d*(d + 2)/13
Let o(z) be the first derivative of 0*z + 1/40*z**5 - 63 - 3/32*z**4 + 0*z**3 + 0*z**2. Solve o(l) = 0.
0, 3
Solve 645*y**2 - 3 + 65*y**4 + 42 + 1 + 435*y**3 - 35*y**3 + 350*y = 0.
-4, -1, -2/13
Determine z, given that 0*z - 4/5*z**3 + 1/10*z**4 + 0 - 9/10*z**2 = 0.
-1, 0, 9
Let g(c) be the third derivative of -c**8/308 + 19*c**7/1155 + c**6/20 - 9*c**5/55 + 2*c**4/33 - 179*c**2 + c - 6. What is n in g(n) = 0?
-2, 0, 1/6, 1, 4
Let l = -604 + 608. Let g be -7 + l*558/312. Factor 20/13*k**2 + g*k**5 + 6/13*k + 12/13*k**4 + 24/13*k**3 + 0.
2*k*(k + 1)**3*(k + 3)/13
Let 438/5*q**3 - 2*q**4 + 50*q + 84/5 - 762/5*q**2 = 0. What is q?
-1/5, 1, 42
Let u(g) = 5*g**2 - 30*g + 3. Let p be u(6). Solve -7 + 11*w**2 - 136*w**3 - 21*w**2 - 25*w + 141*w**p + 37 = 0 for w.
-2, 1, 3
Let o = -41423/8 - -5178. Let l(v) be the first derivative of 0*v**2 + 9 - o*v**3 + 1/32*v**4 + 1/2*v. Factor l(s).
(s - 2)**2*(s + 1)/8
Determine o, given that 1796/7*o**3 + 0*o + 10/7*o**4 - 720/7*o**2 + 0 = 0.
-180, 0, 2/5
Let w(p) be the first derivative of -p**3/3 - 3224*p**2 - 10394176*p + 7444. Factor w(u).
-(u + 3224)**2
Let h(y) = 29*y**3 + 3*y**2 - 2*y. Let s be h(1). Let q be (-6)/(54/(-21)) - 10/s. Factor 2/3*u**3 - 2/3*u + 0 + 0*u**q.
2*u*(u - 1)*(u + 1)/3
Let w(d) be the second derivative of -3*d**5/80 + 279*d**4 - 830304*d**3 + 1235492352*d**2 + 291*d - 11. Determine s so that w(s) = 0.
1488
Determine z, given that 18/5*z**3 + 54/5 - 6*z**4 + 96/5*z**2 + 3/5*z**5 - 141/5*z = 0.
-2, 1, 9
Factor 7*z**3 - 6*z**2 - 56*z - 59 + 59 - 5*z**3.
2*z*(z - 7)*(z + 4)
Let t = 855 + -501. Suppose -6 = f + i - 3*i, 4*f = 4*i - 8. Factor t + 3*x**f + 23*x - 330 + 4*x.
3*(x + 1)*(x + 8)
Suppose -14*p + 22*p = 80. Let s be ((-3)/(-4))/(p/40). What is w in -2/3*w + 4/3*w**s - 4/3 - 4/3*w**4 + 8/3*w**2 - 2/3*w**5 = 0?
-2, -1, 1
Let t = -1559 - -576831/370. Let q = 5917/1110 + t. Find x such that q*x - 16/3*x**3 + 2/3*x**2 - 8/3 + 2*x**4 = 0.
-1, 2/3, 1, 2
Determine y, given that -44*y**3 - 35*y**3 - 72*y**2 - 36*y**3 - 69*y + 112*y**3 = 0.
-23, -1, 0
Let x(q) be the third derivative of q**6/960 + 739*q**5/160 + 546121*q**4/64 + 403583419*q**3/48 - 218*q**2. Factor x(h).
(h + 739)**3/8
Let f(s) = -s**3 - s**2 + 5*s - 4. Let b be f(4). Let p = -59 - b. Let 1 - 1 - p*l**3 - 15*l**2 = 0. What is l?
-3, 0
Let g = 33 - 28. Suppose 4*i = 3 + g. Factor -2*f**4 + i*f**5 + 80*f**2 - 80*f**2 - 4*f**3.
2*f**3*(f - 2)*(f + 1)
Let w = 52 - 38. Let u(l) = l**2 - 11*l - 40. Let i be u(w). Factor 3*v**5 + 3*v**5 - v**5 + 5*v**4 + 155*v**i - 5*v**3 - 160*v**2.
5*v**2*(v - 1)*(v + 1)**2
Let z be (-52)/(-234) - 158/(-18). Factor -z*q**3 + 13283 - 3*q**2 - 13283 + 3*q**4 + 9*q.
3*q*(q - 3)*(q - 1)*(q + 1)
Le