d z, given that -332*z**2 + 3*z - o*z**5 + 24*z**4 - 27*z**3 + 9*z**4 + 335*z**2 = 0.
-1/4, 0, 1
Let l(a) be the third derivative of -a**6/24 + 5*a**5/2 - 255*a**4/8 - 2890*a**3/3 + 942*a**2. Solve l(b) = 0 for b.
-4, 17
Suppose 174*y + 180 = 368*y - 158*y. Let d(g) be the first derivative of -4/27*g**3 - 2/9*g - 38 + 1/3*g**2 - 1/27*g**6 - 1/9*g**4 + 2/15*g**y. Factor d(a).
-2*(a - 1)**4*(a + 1)/9
Let n(t) be the first derivative of -8*t**5/45 + 7*t**4/18 + 14*t**3/9 - 2*t**2 - 273. Suppose n(r) = 0. Calculate r.
-2, 0, 3/4, 3
Let z(k) be the third derivative of k**7/630 - k**6/72 - k**5/15 + 19*k**4/18 - 40*k**3/9 + 1605*k**2. Factor z(i).
(i - 5)*(i - 2)**2*(i + 4)/3
Let d(u) = 20281*u - 101405. Let l be d(5). Determine a so that 3/8*a**2 + 0 + l*a - 1/8*a**3 = 0.
0, 3
Factor 2*b**2 + 3609*b + b**2 + 10614483 + 10228*b - 2551*b.
3*(b + 1881)**2
Let f(d) = d**2 + 3*d - 2. Let a(y) = 12*y**2 + 256*y + 632. Let i(k) = 2*a(k) - 28*f(k). Factor i(b).
-4*(b - 110)*(b + 3)
Let o(g) = -20*g**2 + 296*g + 476. Let v(z) = -2*z**2 + 33*z + 53. Let t(r) = 3*o(r) - 28*v(r). Find f such that t(f) = 0.
-7, -2
Factor -208*x - 18472*x**4 - 2719*x**2 + 17563*x**4 - 2721*x**3 - x**5 - 698*x.
-x*(x + 1)**3*(x + 906)
Let z(o) = o**2 - 5*o + 1. Let f be z(5). Let p(w) = 59*w**2 + w - 1. Let i be p(f). Find a such that 6*a**2 + 36*a + 4 - i*a + 2 + a**2 = 0.
2/7, 3
Let v(a) be the third derivative of a**7/945 - a**6/27 + a**5/5 - 13*a**4/27 + 17*a**3/27 - 4*a**2 - 288. Find w such that v(w) = 0.
1, 17
Suppose -5*b + 4 = -6*b - 2*n, 0 = -5*n - 15. Solve 77*v + 60 - 14*v + 5*v**3 + 32*v + 52*v**b - 12*v**2 = 0.
-4, -3, -1
Let i be 0 + (-4)/(96/1062) - -4. Let t = i + 163/4. Solve 0 - 1/2*k**4 + 1/2*k**2 + 0*k - t*k**3 + 1/2*k**5 = 0 for k.
-1, 0, 1
Suppose -o = 8*o - 180. Suppose 41 = 5*i - 2*f + 4*f, 2*i = f + o. Factor 6*q**2 - 2*q**3 - i*q + 3*q + 2*q.
-2*q*(q - 2)*(q - 1)
Let l(z) be the third derivative of z**7/210 + 21*z**6/40 + 887*z**5/60 - 1177*z**4/8 - 726*z**3 + 345*z**2. Factor l(b).
(b - 4)*(b + 1)*(b + 33)**2
Let n = -73476 + 661285/9. Factor -17/9*t + 0 + n*t**2.
t*(t - 17)/9
Suppose 0 = 4*r - j - 37, -r + 12 = j - 4*j. Suppose -22*h + 16*h = -114. Factor h*b + 6*b - 15*b**2 - r - 9*b + 5*b + 3*b**3.
3*(b - 3)*(b - 1)**2
Let v(g) = 7*g + 4. Let y be v(1). Let x be y/3 + (-9)/(-27). Find q, given that 2 + 4*q + x*q + q**4 - 6*q**2 - 5 = 0.
-3, 1
Find h such that -2373 + 51*h**4 + 756*h + 1620 - 48*h**4 - 756*h**3 + 750*h**2 = 0.
-1, 1, 251
Suppose -19*w - 6 = -22*w. Let s be (6 - 192/36)*8. Find n, given that -s*n**w + 4/3*n**3 + 0 + 4*n = 0.
0, 1, 3
Factor 219*k + 0*k**2 + 270 - 318 + 2538 - 3*k**2.
-3*(k - 83)*(k + 10)
Let z(r) be the first derivative of 4*r**3/9 + 572*r**2/3 + 380*r - 1154. Factor z(s).
4*(s + 1)*(s + 285)/3
Let u(k) = 29*k**4 + 7*k**3 - 13*k**2 - 3*k + 8. Let j(c) = 64*c**4 + 14*c**3 - 26*c**2 - 6*c + 14. Let m(h) = 5*j(h) - 11*u(h). Suppose m(l) = 0. Calculate l.
-1, 2, 3
Find h such that 6204/5*h - 4/5*h**3 + 1016/5*h**2 + 1872 = 0.
-3, 260
Let y(t) be the second derivative of 14*t**6/15 + 233*t**5/5 + 22*t**4 + 10*t + 16. Let y(p) = 0. What is p?
-33, -2/7, 0
Factor -19*k**2 - 42 + 3*k**3 - 24*k**2 - 270 + 76*k**2 + 0*k**3 - 102*k.
3*(k - 4)*(k + 2)*(k + 13)
Let s = 206 + -193. Factor -4*q**2 - s + 10*q - 28 - 7 - 42*q.
-4*(q + 2)*(q + 6)
Let q(b) be the first derivative of b**3/6 + 61*b**2/4 + 59*b + 1548. Factor q(l).
(l + 2)*(l + 59)/2
Let i(k) = -25*k**3 + k - 2. Let y(o) = 48*o**3 - 2*o**2 + 646*o + 652. Let j(d) = 4*i(d) + 2*y(d). Factor j(x).
-4*(x - 18)*(x + 1)*(x + 18)
Find v such that -2715*v**2 + 5432*v**2 - 2720*v**2 - 1029*v = 0.
-343, 0
Suppose -250*n = -255*n - c + 17, 5*n + 4*c - 23 = 0. Factor 1/2*k**2 + n*k + 9/2.
(k + 3)**2/2
Let r = -47/8109 + 13562/8109. What is u in -3/2*u - 1/6*u**2 + r = 0?
-10, 1
Solve 0 + 1185/2*g**3 + 116427/2*g - 117609/2*g**2 - 3/2*g**4 = 0.
0, 1, 197
Let a be 13/2*6/(-3). Let d = a - -15. Solve -8*k - 9*k**3 - 2*k**d + 8*k = 0 for k.
-2/9, 0
Let c = -18027 - -18029. Let a(u) be the second derivative of u + 0 - 3/2*u**c + 3/16*u**4 - 3/8*u**5 + 3/40*u**6 + 3/2*u**3. Let a(l) = 0. What is l?
-1, 1/3, 2
Let g(p) be the second derivative of -5*p**7/14 + 6*p**6/5 + 3*p**5/20 - 3*p**4 + 2*p**3 - 214*p + 1. Find j such that g(j) = 0.
-1, 0, 2/5, 1, 2
Let g be 541/280 + (-7 + 4617/665 - (-3 - -3)). Find m, given that -3/8*m**3 + g*m**2 - 9/8*m - 27/8 = 0.
-1, 3
Let u be ((-4634)/(-770) - (-4)/22) + (-112)/(-16). Factor -u*h + 0 - 3/5*h**2.
-3*h*(h + 22)/5
Let o = -10/14843 - -489899/118744. Factor -o*g**2 + 0 + 21/8*g**3 + 15/8*g - 3/8*g**4.
-3*g*(g - 5)*(g - 1)**2/8
Let a(o) = -25*o**3 + 2119*o**2 - 1906*o - 216. Let l(q) = -101*q**3 + 8476*q**2 - 7626*q - 868. Let n(p) = -17*a(p) + 4*l(p). Factor n(r).
(r - 100)*(r - 1)*(21*r + 2)
Suppose 976/13*z - 2/13*z**2 - 119072/13 = 0. What is z?
244
Suppose -3*y - 6913 + 2683 = -4*x, 5*x = -2*y + 5299. Find v, given that -3*v**4 + 1043 + 4*v**4 - 42*v**2 + 44*v - x - 3*v**4 + 15*v**3 + v**3 = 0.
1, 2, 4
Let i(c) be the third derivative of -c**5/510 - 2*c**4/3 + 137*c**3/51 + 180*c**2 - 2. Determine h, given that i(h) = 0.
-137, 1
Let n(c) = -3*c**3 + 146*c**2 + 709*c - 22. Let w(v) = -4*v**3 + 182*v**2 + 886*v - 28. Let g(r) = -14*n(r) + 11*w(r). Factor g(f).
-2*f*(f + 6)*(f + 15)
Let g(k) = 3*k**2 - 412*k + 10. Let q(x) = -5*x**2 + 826*x - 18. Let m(y) = -9*g(y) - 5*q(y). Factor m(d).
-2*d*(d + 211)
Let x = -5023 + 5039. Let i(h) be the third derivative of 0 + 1/135*h**5 + 0*h - x*h**2 + 1/54*h**4 - 4/27*h**3. Factor i(v).
4*(v - 1)*(v + 2)/9
Let v(x) be the first derivative of 80*x**2 - 640/3*x - 25/4*x**4 + 53 + 1/3*x**5 + 230/9*x**3. Factor v(f).
5*(f - 8)**2*(f - 1)*(f + 2)/3
Factor 1/3*k**4 + 3741*k**2 + 10404 + 14076*k + 208/3*k**3.
(k + 1)*(k + 3)*(k + 102)**2/3
Let b(k) = -3*k + 41. Let i be b(13). Factor -754*m + 926*m**4 - 922*m**4 - 116*m**3 - 30*m + 896*m**i.
4*m*(m - 14)**2*(m - 1)
Let t(s) be the first derivative of s**3/7 - 465*s**2/7 + 72075*s/7 + 5305. Factor t(m).
3*(m - 155)**2/7
Let w(c) = -8*c**2 + 65*c - 183. Let n(v) = -6*v**2 + 68*v - 180. Let l(k) = 5*n(k) - 4*w(k). What is i in l(i) = 0?
-42, 2
Let t(j) be the first derivative of 0*j**2 - 1/33*j**6 - 14/55*j**5 + 220 - 3/11*j**4 + 0*j + 0*j**3. Solve t(i) = 0.
-6, -1, 0
Let q = -67 - -67. Suppose q = -3*l + l + 4*j + 38, -5*j = -4*l + 91. Find w, given that -l*w**4 - 6*w**5 + 35*w**4 - 3*w**3 + 3*w**5 = 0.
0, 1
Let v(s) be the second derivative of s**5/30 - 7*s**3/9 - 2*s**2 + 1278*s. Suppose v(t) = 0. What is t?
-2, -1, 3
Let b be (2 + -3 + -1)*(60/6 - 13). Let z(d) be the second derivative of 3/20*d**4 + 0 + 1/5*d**2 - 13*d + 1/150*d**b - 7/30*d**3 - 1/20*d**5. Factor z(a).
(a - 2)*(a - 1)**3/5
Let m = -257 + 259. Find v, given that -v + 70107*v**m + v**5 + 0*v**4 - 2*v**4 - 70105*v**2 = 0.
-1, 0, 1
Suppose -1308*d**2 + 1313*d**2 - 1 + 11*d + 199*d + 1 = 0. What is d?
-42, 0
Let v = -45 - -63. Let x be (0 + -6)/(v/(-4))*6. Factor -3*p**2 - 15*p - x - 2 - 2*p**2 + 0.
-5*(p + 1)*(p + 2)
Let x(n) be the third derivative of -1/20*n**5 + 0 + 0*n - 21/4*n**4 - 104*n**2 + 0*n**3. Factor x(j).
-3*j*(j + 42)
Let p(u) be the third derivative of -u**6/60 - 752*u**5/15 - 3005*u**4/12 - 1502*u**3/3 + 3*u**2 - 59*u. Solve p(g) = 0.
-1502, -1
Let m = -1724/105 + 2204/105. Solve 44*n**2 - m*n - 16/7 = 0 for n.
-2/11, 2/7
Factor 0*g + 81/4 - 1/4*g**2.
-(g - 9)*(g + 9)/4
Suppose 2*j + 2040 = -2*l, -1602 - 435 = 2*l + 5*j. Let o = l - -1021. Let 10/13*h + 2/13*h**2 + o = 0. What is h?
-5, 0
Let f(m) be the third derivative of -m**7/42 + 5*m**6/6 + 11*m**5/2 + 85*m**4/6 + 115*m**3/6 - 1104*m**2. What is p in f(p) = 0?
-1, 23
Let d(n) be the first derivative of -n**6/24 - 5*n**5/4 + n**4/8 + 25*n**3/6 - n**2/8 - 25*n/4 + 308. Let d(k) = 0. Calculate k.
-25, -1, 1
Let t(f) be the third derivative of -f**8/280 - 439*f**7/525 - 3313*f**6/60 - 37009*f**5/150 - 2172*f**4/5 - 1728*f**3/5 - f**2 - 1265. What is s in t(s) = 0?
-72, -1, -1/3
Let 0*h + 2/7*h**4 + 0 + 8/7*h**2 - 8/7*h**3 = 0. Calculate h.
0, 2
Let d be 1/5 + 772/(-60) + 13. Let m(c) be the first derivative of -d*c**3 - 3/2*c**2 + 0*c + 15. Solve m(y) = 0.
-3, 0
Suppose 8*v + 197 = 221. Let k(j) be the first derivative of 3/4*j**