f -i**6/15 - 218*i**5/5 - 11881*i**4 - 5180116*i**3/3 - 141158161*i**2 + 284*i - 2. Determine z, given that o(z) = 0.
-109
Let u(r) be the third derivative of -245/96*r**8 + 0*r - 35119/48*r**6 + 1210/3*r**3 - 12485/12*r**4 + 0 - 259/3*r**7 + 67*r**2 + 16867/12*r**5. Factor u(k).
-5*(k + 11)**2*(7*k - 2)**3/2
Let t(k) = 15*k**2 - 549*k + 2482. Let b(y) = -5*y**2 + 184*y - 827. Let o(n) = -7*b(n) - 2*t(n). Solve o(f) = 0 for f.
5, 33
Let y(c) be the first derivative of 7*c**5/220 - c**4/12 + 2*c**3/33 - 97*c - 83. Let j(g) be the first derivative of y(g). Factor j(u).
u*(u - 1)*(7*u - 4)/11
Let s(c) be the third derivative of c**8/560 + 11*c**7/350 + c**6/20 - 292*c**2 - 2*c. Factor s(j).
3*j**3*(j + 1)*(j + 10)/5
Let u(v) be the first derivative of 4*v**3/3 + 116*v**2 - 480*v + 1275. Solve u(x) = 0 for x.
-60, 2
Let v(w) be the third derivative of -1/1008*w**8 + 0 + 0*w**4 + 1/45*w**5 + 1/126*w**7 + 0*w**3 - w**2 + 3*w - 1/45*w**6. Factor v(y).
-y**2*(y - 2)**2*(y - 1)/3
Let b = -31789 + 31791. Factor b*u**2 + 1 + 1/2*u**3 + 5/2*u.
(u + 1)**2*(u + 2)/2
Let x(c) be the second derivative of c**7/14 + 19*c**6/10 + 15*c**5/2 + 8*c**4 - 1004*c. Let x(k) = 0. What is k?
-16, -2, -1, 0
Let w(g) be the second derivative of -g**5/70 + 16*g**4/7 + 28*g**3/3 + 24*g + 12. Solve w(n) = 0 for n.
-2, 0, 98
Let l(b) = b**3 - 2*b - 1. Let s(w) = 2*w**3 - 3374*w**2 + 355336*w + 89048. Let r(t) = -6*l(t) - s(t). Let r(m) = 0. Calculate m.
-1/4, 211
Let i(v) = -19*v**3 + 16*v**3 - 25 + 29*v**2 + 4*v**3 + 55*v - 2*v. Let b be i(-27). Factor 2/15 + 2/5*d**3 - 2/5*d - 2/15*d**b.
2*(d - 1)*(d + 1)*(3*d - 1)/15
Let d be (6/(-4))/((-1)/2) - 1. Factor -82*z**3 + 140*z**5 + 144*z**4 + 6*z**d - 209*z**5 + z**3.
-3*z**2*(z - 1)**2*(23*z - 2)
Solve -15/2 - 471/4*x**2 + 247/4*x = 0 for x.
30/157, 1/3
Let d(o) = -12*o**2 + 254*o - 14*o**3 + 6 - 8 - 6*o**3 - 254*o - 6*o**4. Let r(i) = 7*i**4 + 22*i**3 + 12*i**2 + 3. Let m(a) = 3*d(a) + 2*r(a). Factor m(f).
-4*f**2*(f + 1)*(f + 3)
Let l = 66101/132198 - 1/66099. Find s, given that -21/2 - l*s**2 - 11*s = 0.
-21, -1
Factor -10/3*k**3 + 0 + 2052*k**2 + 2464/3*k.
-2*k*(k - 616)*(5*k + 2)/3
Let z(f) be the second derivative of 7*f**7/6 + 7*f**6/5 - 24*f**5/5 + 8*f**4/3 + 6453*f. Solve z(c) = 0.
-2, 0, 4/7
Let r(x) be the third derivative of x**7/1155 + 3*x**6/110 + 28*x**5/165 - 75*x**4/22 - 675*x**3/11 - 3191*x**2 + 2. Find p such that r(p) = 0.
-9, -5, 5
Let f(t) be the second derivative of -t**8/7840 - t**7/17640 + t**6/840 + t**5/840 + 47*t**4/6 + 259*t. Let a(j) be the third derivative of f(j). Factor a(k).
-(k - 1)*(k + 1)*(6*k + 1)/7
Factor 4*u**3 - 645*u**2 - 179 - 664*u + 118*u**2 + 46.
(u - 133)*(u + 1)*(4*u + 1)
Suppose 23 = 2*r + 5*c, 3*r = -3*c + 22 - 1. Let h = 6190 + -6184. Factor -h*y**2 + 0 + y**2 + r*y**2 + y + 2.
-(y - 2)*(y + 1)
Let y(j) be the first derivative of -3*j**5/20 - j**4/2 - j**3/2 + 72*j + 12. Let u(v) be the first derivative of y(v). Factor u(s).
-3*s*(s + 1)**2
Let l(m) be the second derivative of 3/26*m**4 + 15/13*m**2 - 1/130*m**5 - 23/39*m**3 - 11 + 4*m. Find q, given that l(q) = 0.
1, 3, 5
Let b(z) be the third derivative of -13*z**5/60 + 61*z**4/24 - 11*z**3 + 1308*z**2. Let b(w) = 0. Calculate w.
22/13, 3
Suppose w = 6*w - 2*q - 640, 4*q - 512 = -4*w. Determine o so that -48*o + 30*o**2 + 131*o**3 + w*o**3 - 262*o**3 = 0.
0, 2, 8
Determine f so that -243/2*f**2 + 3*f + 153/4*f**3 + 3/4*f**4 + 162 = 0.
-54, -1, 2
Let f(u) = -u**2 + 18*u. Let s(i) = 7*i**2 + 3202*i - 1074. Let o(d) = -f(d) - s(d). Factor o(l).
-2*(l + 537)*(3*l - 1)
Let f = 888/335 + 10/67. Let b = 1560 - 7756/5. Factor 26/5*x + 36/5*x**3 + b*x**2 + f*x**4 + 2/5*x**5 + 6/5.
2*(x + 1)**4*(x + 3)/5
Let x = -40 - -40. Suppose x*y + 16 = 2*y. Let -d**2 + y*d - 11 + 61 - 28*d + 3*d**2 = 0. What is d?
5
Factor -64 - 4 + 12 - 105*t + 8*t**2 - 3*t**2 - 54.
5*(t - 22)*(t + 1)
Let t(i) be the second derivative of -i**5/60 - i**4/8 - i**3/3 - 53*i**2 + 72*i. Let b(d) be the first derivative of t(d). Factor b(u).
-(u + 1)*(u + 2)
Let b(u) be the first derivative of -2*u**5/45 + 71*u**4/18 + 592*u**3/27 + 100*u**2/3 - 261. Factor b(k).
-2*k*(k - 75)*(k + 2)**2/9
Suppose 10*g = 5*a - 80, -69*a + 3*g = -71*a + 4. Determine h so that -10/3*h**3 + a - 14/3*h**2 + 56/3*h = 0.
-3, -2/5, 2
Let q(y) = -13 + 7*y**2 + 0*y**2 + 2*y**2 + 14*y - 4*y**2. Let i(m) = 3*m**2 + m - 1. Let l(p) = 2*i(p) - q(p). Factor l(t).
(t - 11)*(t - 1)
Let r(z) = -6*z - 238. Let l = -460 + 420. Let y be r(l). Solve 0 - 8*w**y - 98/9*w**5 - 28*w**4 - 8/9*w - 218/9*w**3 = 0.
-1, -2/7, 0
Let f(k) be the second derivative of k**4/48 - k**3/12 - k**2 - 26*k - 23. Let f(p) = 0. What is p?
-2, 4
Let d = 1043411/195639 + -1/65213. Let -85/2*b**2 + d*b**3 - 1/6*b**4 - 16/3*b + 128/3 = 0. Calculate b.
-1, 1, 16
Let z = -34 + 37. Suppose -z*x + 2*o + 31 = 0, 5*o = -x + 2*o + 3. Factor 41 + 33*i**3 + 17*i**3 - 152*i - x + 160*i**2.
2*(i + 4)*(5*i - 2)**2
Let u(c) be the second derivative of c**6/160 + c**5/20 + c**4/8 + c**3/3 + 28*c**2 - 12*c. Let z(h) be the second derivative of u(h). Factor z(d).
3*(d + 2)*(3*d + 2)/4
Let b be (18/(-99)*-2)/(272/44 - 6). Factor 20/9 - 34/9*j - 2/9*j**3 + 16/9*j**b.
-2*(j - 5)*(j - 2)*(j - 1)/9
Suppose -5*w + 87 = 6*w + 43. Suppose -5*c - 54*g + 50*g - 20 = 0, -c + 15 = -3*g. Factor c*f**3 + 0*f**2 + 0 + 0*f + 2/11*f**w.
2*f**4/11
Suppose 58 = 7*g - 26. Determine r, given that -14*r**2 - 81 + g*r**2 + 41 - 18*r = 0.
-5, -4
Let a(c) = -13*c - 1. Let t be a(-1). Find x such that -4*x**3 - 18*x**3 - t*x**2 - 46*x**3 - 12*x**2 - 4*x**5 - 32*x**4 - 16*x**2 = 0.
-5, -2, -1, 0
Suppose w = 2*v + 285 - 8, 5*w = v + 161. Let d be 7/1 + 936/v. Solve 0 + d*h**3 - 2/17*h + 0*h**2 = 0 for h.
-1, 0, 1
Let y(j) = -868*j**2 - 866*j + 4. Let b be y(-1). Determine i so that -24*i**b + 26*i**3 + 8*i**4 + 1/2*i + 2 = 0.
-4, -1/4, 1/2
Let c = -657 + 661. Factor 152*u - 31*u + 0*u + 201 + c*u**2 + 111 + 195*u.
4*(u + 1)*(u + 78)
Let g(q) be the first derivative of -3*q**5/5 + 19*q**4/4 - 13*q**3/3 - 19*q**2/2 + 16*q - 12431. Find y such that g(y) = 0.
-1, 1, 16/3
Let u(i) be the first derivative of i**8/252 + i**7/105 - i**5/90 + 23*i**2/2 + 25. Let y(w) be the second derivative of u(w). What is f in y(f) = 0?
-1, 0, 1/2
Let a(m) = -11*m - 119. Let s be a(-13). Find x such that 10*x + 20*x**4 - 7*x**3 - 35*x**2 - s*x**3 + x**3 + 5*x**3 = 0.
-1, 0, 1/4, 2
Find g, given that 28*g**2 - 55987*g**5 + 55991*g**5 + 36*g**3 - 28*g**4 + 0*g**2 - 40*g = 0.
-1, 0, 1, 2, 5
Let n(o) be the third derivative of -13*o**7/1050 + 53*o**6/300 - 79*o**5/100 + 41*o**4/30 - 2*o**3/3 + 4*o**2 + 2*o - 230. Find h such that n(h) = 0.
2/13, 1, 2, 5
Let r(n) = -n**3 + 20*n**2 + 69*n + 2. Suppose -41*h + 252 = -691. Let j be r(h). Solve 2/17*u**4 + 0*u + 0 + 0*u**j + 6/17*u**3 = 0.
-3, 0
Let u(q) = -13*q - 11. Let x be u(-3). Suppose -6*w = w - x. Let 7 - 8*h**w - 6*h**2 - 4*h**3 + 10*h**4 + 8*h + 1 = 0. What is h?
-1, 2
What is m in -5*m**3 - 31*m**3 + 16*m**2 + 80219*m + 4*m**4 - 80075*m - 128 = 0?
-2, 1, 2, 8
Let w(g) be the third derivative of -g**7/1155 + 19*g**5/330 + 5*g**4/22 + 1357*g**2. Solve w(u) = 0 for u.
-3, -2, 0, 5
Let s(x) = 85*x**3 + 1015*x**2 + 1770*x + 835. Let p(k) = 85*k**3 + 1014*k**2 + 1769*k + 836. Let l(q) = -5*p(q) + 4*s(q). Factor l(g).
-5*(g + 1)**2*(17*g + 168)
Let k be 10 - 760/75 - (-32)/15. Let p be 1 + 1 + 456/(-266). Factor -2/7*j + p*j**k - 4/7.
2*(j - 2)*(j + 1)/7
Let o(x) = 51*x + 1. Let h be o(-1). Let t = 58 + h. Solve -16*l**4 - 5*l**3 + 4*l**5 + 23*l**3 - 20*l - 2 + t*l**2 - 2*l**3 + 10 = 0.
-1, 1, 2
Let v be (-152)/19 - (-132633)/15951. Let g = -3/409 + v. Factor -8/13*o**2 + g - 14/13*o.
-2*(o + 2)*(4*o - 1)/13
Let q = 899/43 - 5949/301. Factor q*o**3 - 8/7 + 6/7*o**2 - 8/7*o + 2/7*o**4.
2*(o - 1)*(o + 1)*(o + 2)**2/7
Let q = -55 + 58. Suppose -5*x - q*t + 16 = 0, 7*t - 2*t + 15 = 0. Factor -11 + 4 - 6 + 6*p**2 - x - 3*p.
3*(p - 2)*(2*p + 3)
Let s(j) be the first derivative of -j**6/6 - 43*j**5/5 - 157*j**4 - 3680*j**3/3 - 2944*j**2 + 10240*j - 1103. Suppose s(u) = 0. Calculate u.
-20, -8, 1
Let v be 16/24 - (-4204)/36 - -6. Let r = 373/3 - v. Solve 2/9*x**3 + 8/9*x**4 + 16/9 - r*x + 2/9*x**5 - 20/9*x**2 = 0 for x.
-2, 1
Suppose 324*o - 180 = 8*o - 