t h(l) be the third derivative of k(l). Factor h(r).
-4*(r + 1)**2*(r + 17)
Let z(j) be the first derivative of -j**4/2 + 382*j**3/3 - 378*j**2 + 3887. Factor z(p).
-2*p*(p - 189)*(p - 2)
Let n be ((-156)/(-24) + 2)/1. Factor -n*k - 3 - 15/2*k**2 + 1/2*k**4 - 3/2*k**3.
(k - 6)*(k + 1)**3/2
Let r(t) be the third derivative of 0 + 1/36*t**4 - 1/12*t**3 - 15*t**2 + 0*t - 1/360*t**5. Factor r(j).
-(j - 3)*(j - 1)/6
Let m(p) = -2*p**2 + 3*p - 1. Let q be m(1). Let d be ((-4)/(-8) + -1)*q. Determine y, given that 0*y + d - 2/11*y**2 = 0.
0
Let j(c) be the third derivative of c**8/224 - 17*c**7/280 + c**6/5 - 3*c**5/20 + 10*c**2 - 12*c - 9. Suppose j(b) = 0. Calculate b.
0, 1/2, 2, 6
Let c(h) = -2*h**5 + 6*h**4 + 6*h**3 + 6*h. Let j(k) = -2*k**5 + 6*k**4 + 4*k**3 + 4*k. Let o(l) = -2*c(l) + 3*j(l). Let o(p) = 0. Calculate p.
0, 3
Let s be 1/1 - 12/(12/(-2)). Let -2*c**2 - 2*c - 4*c + 24*c**s + 7*c - 23*c**3 = 0. What is c?
0, 1
Let c(u) be the third derivative of u**6/80 - 49*u**5/40 - 105*u**4/16 + 153*u**3/4 + u**2 + 11*u - 12. Factor c(i).
3*(i - 51)*(i - 1)*(i + 3)/2
Let a(w) be the third derivative of 4*w**7/105 + 83*w**6/6 + 21424*w**5/15 - 5408*w**4/3 - 9*w**2 + w. Factor a(c).
4*c*(c + 104)**2*(2*c - 1)
Let d(y) = 8*y**5 + 25*y**4 + 42*y**3 + 32*y**2 + 13*y + 3. Let l(a) = a**2 + 142*a**5 + a**3 - 143*a**5 - a - 2 + 1. Let m(x) = d(x) + 3*l(x). Factor m(p).
5*p*(p + 1)**3*(p + 2)
Factor -20*r**3 + 3318772*r + r**4 + 7*r**3 - 3329767*r - 9900 - 1109*r**2.
(r - 44)*(r + 1)*(r + 15)**2
Let a be 194/8*1*(4 - 0). Suppose 91 = -3*o + a. Let 9/10*n**o - 1/5*n - 3/2*n**4 - 2/5*n**3 + 0 = 0. Calculate n.
-1, 0, 1/3, 2/5
Let d(c) be the third derivative of -c**3 + 69*c**2 + 0 + 1/6*c**4 + 1/30*c**5 + 0*c. Factor d(u).
2*(u - 1)*(u + 3)
Let x = 128/29 + -611/145. Suppose z + 4 = -3*l, 8*l - 11*l - 2 = 2*z. Determine q, given that x*q**z - 6/5*q + 1 = 0.
1, 5
Let k be -1 + 8 + 21771/27. Let r = -813 + k. Factor -1 + r*n**2 - 2/3*n.
(n - 3)*(n + 1)/3
Let z(i) = 13*i**2 - i + 2. Let l be z(2). Determine b, given that 4*b + 20*b**3 + l*b**2 - 37*b - 4*b + 13*b = 0.
-3, 0, 2/5
Suppose g = 4*k - 3516, -4*k + 2*k - g = -1758. Let n = -7031/8 + k. Factor 0 - 1/8*x**3 - n*x**4 + 0*x + 0*x**2.
-x**3*(x + 1)/8
Let i(c) be the third derivative of 7/30*c**5 - 20/3*c**3 + 17/3*c**4 + 10*c**2 + 3*c + 0. Factor i(o).
2*(o + 10)*(7*o - 2)
Let k(a) be the second derivative of -a**6/30 - 11*a**5/20 - 13*a**4/4 - 49*a**3/6 - 10*a**2 - 4197*a. Factor k(z).
-(z + 1)**2*(z + 4)*(z + 5)
Let x(f) be the third derivative of -f**5/390 + f**4/3 - 17*f**3/13 - f**2 + 1978*f. Factor x(t).
-2*(t - 51)*(t - 1)/13
Let o = 401/2895 + -1/193. Suppose 0 = -3*j - 36*c + 31*c - 35, 10*j = -5*c - 35. Factor j + 4/15*p + o*p**2.
2*p*(p + 2)/15
Let i(d) be the second derivative of d**8/5040 - d**7/1260 + d**6/1080 - 4*d**3 - 40*d. Let g(k) be the second derivative of i(k). Let g(o) = 0. Calculate o.
0, 1
Let w be (-352)/(-66)*2526/4. Suppose w*k - 3*k**3 - 3347*k - 5*k**2 - 13*k**2 = 0. Calculate k.
-7, 0, 1
Suppose 214*p = 224*p. Let d(m) be the second derivative of p + 1/15*m**6 - 1/15*m**5 - 12*m - 1/63*m**7 + 0*m**2 + 0*m**3 + 0*m**4. Let d(y) = 0. What is y?
0, 1, 2
Solve 1463 + 4*y**2 - 463 - 792 - 112*y = 0 for y.
2, 26
Let c(o) be the third derivative of 0 + 5/32*o**4 + 45*o - 1/160*o**5 - 2*o**2 - o**3. Determine t so that c(t) = 0.
2, 8
Let q(k) be the third derivative of -k**8/6720 - k**7/336 - k**6/60 - k**5/20 + 26*k**2 - 2*k. Let w(a) be the third derivative of q(a). What is t in w(t) = 0?
-4, -1
Let y(v) be the first derivative of -v**5/15 + v**4/6 + 7*v**3/3 + 3*v**2 + 1771. Suppose y(l) = 0. What is l?
-3, -1, 0, 6
Find o such that 4*o**2 - 4*o**2 - 4*o**2 + 77*o**4 - 2*o**2 - 4*o**3 - 75*o**4 = 0.
-1, 0, 3
Let u be (1/(-4))/((-8)/64). Suppose -53 = -2*i + b, 0 = -u*i + 6*b - b + 49. Factor i*s - 27*s**4 - 112*s**2 + 120*s**3 - 27*s**4 + 18*s**4 + 5*s.
-4*s*(s - 2)*(3*s - 2)**2
Let f(x) be the second derivative of -6*x**2 - 31*x + 7/6*x**4 + 2 - 1/10*x**5 + 1/3*x**3 - 1/15*x**6. Find q such that f(q) = 0.
-3, -1, 1, 2
Let y(s) be the first derivative of 2*s**4 - 2/3*s**6 + 0*s + 0*s**3 - 2*s**2 + 0*s**5 + 27. Factor y(h).
-4*h*(h - 1)**2*(h + 1)**2
Let n(q) be the second derivative of -q**9/22680 + q**8/5040 - q**7/3780 + 13*q**4/6 + 11*q. Let l(r) be the third derivative of n(r). Factor l(c).
-2*c**2*(c - 1)**2/3
Let b(u) = u**3 - u**2 + 1. Let a(i) be the first derivative of -15*i**4/4 + 3*i**3 + 6*i**2 - 57. Let f(n) = -a(n) - 12*b(n). Determine t so that f(t) = 0.
-2, -1, 2
Let k be -2 - (21/(-3) - (-35)/7). Let x(h) be the second derivative of -5/6*h**3 - 5/6*h**4 + 0 + 31*h + k*h**2. Factor x(u).
-5*u*(2*u + 1)
Let t = 4328 - 17311/4. Let v(s) be the first derivative of -t*s**2 + 9 + 1/8*s**4 - 3/2*s + 1/2*s**3. Find n such that v(n) = 0.
-3, -1, 1
Let w(o) be the second derivative of 11*o**7/42 + o**6/12 - 11*o**5/12 - 5*o**4/12 + 73*o**2/2 + 17*o. Let p(k) be the first derivative of w(k). Factor p(c).
5*c*(c - 1)*(c + 1)*(11*c + 2)
Let m = 8511 - 8505. Let h(j) be the first derivative of -1/2*j**m + 2*j**3 + 3/2*j**4 - 3/2*j**2 - 3*j - 12 - 3/5*j**5. What is q in h(q) = 0?
-1, 1
Suppose -3*c + 0*c + 4*h = -61, 0 = -c + 4*h + 31. Let r(p) be the first derivative of 0*p - 1/5*p**4 - 2/5*p**2 - c + 8/15*p**3. Let r(l) = 0. What is l?
0, 1
Let m(q) be the third derivative of -3*q**8/140 - q**7/175 + 49*q**6/300 + 49*q**5/150 + 17*q**4/60 + 2*q**3/15 + 652*q**2. Suppose m(a) = 0. Calculate a.
-1, -1/2, -1/3, 2
Let j = -27 - -32. Let f be -3 + j/((-25)/(-45)). Factor 3*u**3 - 21 + f*u**2 + 21.
3*u**2*(u + 2)
Suppose 446*w - 603 - 289 = 0. Factor -1/10*v**w + 0 - 6/5*v + 1/10*v**3.
v*(v - 4)*(v + 3)/10
Factor 24642 - 111*z + 1/8*z**2.
(z - 444)**2/8
Suppose 0 = 4*q - 16, 0 = 2*d + 5*q - q - 22. Suppose -t + 34 + 3 = 4*s, s - t - 8 = 0. Factor 12*b - 6*b**4 + s*b**2 + 3*b**2 + 14*b**2 - 32*b**d.
-2*b*(b - 1)*(b + 6)*(3*b + 1)
Let x = 1859 - 1855. Let y be x*((-90)/20)/(-9). Factor -y*c**2 - 1/2*c + 3/2.
-(c + 1)*(4*c - 3)/2
Let c(v) be the third derivative of -v**7/126 - 61*v**6/144 - 5*v**5/8 - 5*v**4/2 + 68*v**2. Let p(w) be the second derivative of c(w). Factor p(i).
-5*(i + 15)*(4*i + 1)
Factor 59536/3*y**2 - 976/9*y**3 + 2/9*y**4 + 443066912/9 - 14526784/9*y.
2*(y - 122)**4/9
Let k(c) = c - 4. Let v be k(7). Let b = 0 - -2. Determine d so that -4*d**b + 2*d**3 + v*d**3 + 14*d**2 = 0.
-2, 0
Let t(g) be the first derivative of g**4 + 8/3*g**3 - 32*g + 74 - 8*g**2. Solve t(m) = 0 for m.
-2, 2
Let g = -82 - -88. Suppose -i + g - 4 = 0. Solve 35*s**2 + 5*s**2 - 16 - 12*s**3 - 12*s**i = 0 for s.
-2/3, 1, 2
Let c(y) = -7*y**2 - 2. Let p(l) = -9*l**2 + 200*l - 2. Let s(w) = -2*c(w) + 2*p(w). Let s(j) = 0. What is j?
0, 100
Let k = 183/65 + -21/13. Let l = 9949/5 - 1988. Let 0*d - l*d**4 + 0 - k*d**2 + 21/5*d**3 = 0. What is d?
0, 1/3, 2
Let n = -165 - -171. What is z in 4284*z**3 + n*z + 4*z**2 - 3 - 4286*z**3 + 3 = 0?
-1, 0, 3
Let u(x) be the first derivative of 3*x**4/4 - 158*x**3/3 - 110*x**2 + 216*x + 88. Find m such that u(m) = 0.
-2, 2/3, 54
Find t, given that -2*t**2 + 4/5*t + 0 + 8/5*t**3 - 2/5*t**4 = 0.
0, 1, 2
Let z(r) be the third derivative of r**8/84 + 4*r**7/105 - 14*r**6/15 + 46*r**5/15 - 7*r**4/2 + 2105*r**2 + r - 1. Suppose z(l) = 0. Calculate l.
-7, 0, 1, 3
Let k be (558/(-27) - 0)*(-51)/(-1). Let f = k + 3167/3. Suppose -23/3*p**2 - 10/3*p + 8/3 - f*p**3 = 0. What is p?
-4, -1, 2/5
Let v(s) be the second derivative of s**4/32 + 477*s**3/4 + 682587*s**2/4 - 17*s + 46. Factor v(f).
3*(f + 954)**2/8
Let c(d) be the second derivative of 19*d + 1/12*d**2 - 1/36*d**3 - 1/72*d**4 + 2 + 1/120*d**5. Factor c(s).
(s - 1)**2*(s + 1)/6
Let o = 164 - 134. Suppose -2*b + o = -5*z, 19*b - 5*z = 15*b + 40. Determine h so that 33/4*h**3 + 0 - b*h**4 + 1/2*h - 15/4*h**2 = 0.
0, 1/4, 2/5, 1
Let w(k) = 9*k**2 + 4*k - 3. Let n be w(3). Suppose 0 = 3*l - 2*f - n, f + 60 = 2*l - 0*l. Factor 67*g**2 - l*g + 1 - 72*g**2 - 1.
-5*g*(g + 6)
Let h(y) be the second derivative of -y**5/8 + 8645*y**4/8 - 14947205*y**3/4 + 25843717445*y**2/4 - 793*y + 3. Factor h(d).
-5*(d - 1729)**3/2
Let c(j) be the first derivative of -j**6/72 + 19*j**5/24 + 25*j**4/6 - 86*j**3/3 + j - 43. Let k(q) be 