tor 429*d - 40*d**3 - 15*d**2 + 0*d**2 + 5*d**4 + 23 + 57 - 319*d.
5*(d - 8)*(d - 2)*(d + 1)**2
What is v in -292*v - 10*v**2 - 10658/5 = 0?
-73/5
Let c(a) be the third derivative of -a**6/80 + a**5/10 - 3*a**4/16 - 39*a**2 + a. Factor c(l).
-3*l*(l - 3)*(l - 1)/2
Let k(a) be the first derivative of -a**6/2700 + a**5/50 - 9*a**4/20 - 2*a**3 - 3*a + 18. Let p(g) be the third derivative of k(g). Find z, given that p(z) = 0.
9
Let m = 909848 - 8203348/9. Let q = m - -1636. Factor -2/9*n**4 + 0 + 10/9*n**3 + q*n - 16/9*n**2.
-2*n*(n - 2)**2*(n - 1)/9
Let l(q) be the third derivative of 1/15*q**5 + 1/84*q**8 + 0 + 0*q**3 - 1/30*q**6 + 0*q**4 + 0*q - 2/105*q**7 + 7*q**2. Suppose l(g) = 0. What is g?
-1, 0, 1
Let w(g) = -4*g - 111. Let u be w(-29). Let s(k) be the first derivative of -19 - u*k + 2*k**2 + 1/3*k**3. Factor s(o).
(o - 1)*(o + 5)
Let p(k) be the first derivative of 826*k**3 - 407*k**3 + 2*k + 10*k**5 + 20*k**4 - 415*k**3 - 8*k**2 + 92. Factor p(y).
2*(y + 1)**2*(5*y - 1)**2
Let c = -217 - -100. Let z = c - -131. Find n, given that -z*n**2 + 4*n**2 + 23 + 95*n - 10*n**2 + 2 = 0.
-1/4, 5
Let i(w) be the first derivative of -5*w**3/3 + 25*w**2 + 280*w - 4786. Factor i(f).
-5*(f - 14)*(f + 4)
Suppose 0 = -10*c + 4 - 4 + 20. Let l(v) be the first derivative of -10/3*v**6 + 0*v**3 - v**4 + 0*v**c - 20 - 18/5*v**5 + 0*v. Factor l(z).
-2*z**3*(2*z + 1)*(5*z + 2)
Let r be -5 + 8 + (-2 - -1). Suppose 0 = s - 5*n + 21, 2*n - 16 = -2*s + r. Let -9*d**3 - 9*d**4 - d**4 + 14*d**4 - 7*d**s = 0. What is d?
-3, 0
Let z = -71774 - -71774. Let o = 17/48 + 5/16. Factor z + 4/3*a - o*a**2.
-2*a*(a - 2)/3
Factor 20/3*v + 1/6*v**3 - 47/6*v**2 + 46.
(v - 46)*(v - 3)*(v + 2)/6
Let f(o) be the first derivative of 1/12*o**3 - 5/4*o + 91 + 1/2*o**2. Solve f(n) = 0.
-5, 1
Suppose 0 = 18142*t - 18139*t + 5*l + 84, -4*t + 2*l + 44 = 0. Determine g so that 1/2*g**t + 0 - 21/2*g = 0.
0, 21
Let d(y) be the second derivative of -11*y**4/72 + 251*y**3/36 + 23*y**2/6 + 4*y + 63. Factor d(n).
-(n - 23)*(11*n + 2)/6
Let j(a) be the first derivative of a**5/120 + a**4/9 - 63*a + 73. Let m(u) be the first derivative of j(u). Factor m(x).
x**2*(x + 8)/6
Let i = 114 + -119. Let v(m) = -7*m**2 + 35*m - 205. Let o(l) = -3*l**2 + 18*l - 102. Let s(z) = i*o(z) + 2*v(z). Suppose s(x) = 0. Calculate x.
10
Let n = 35839 + -262992/7. Let r = -1731 - n. Determine d, given that 2/7*d**4 - r*d**2 + 2/7*d + 0 - 2/7*d**3 = 0.
-1, 0, 1
Let b = 179/6600 + 4/275. Let w(c) be the first derivative of -1/15*c**5 + 1/18*c**3 + 0*c**2 + b*c**4 + 0*c - 14. Factor w(v).
-v**2*(v - 1)*(2*v + 1)/6
Let t(b) = b**3 - 16*b**2 - 2*b + 40. Let l be t(16). What is f in l*f**5 - 8*f - 4*f**2 - 28*f**3 + 0*f**4 - 4*f**4 + 4*f + 24*f + 8 = 0?
-1, -1/2, 1, 2
Let t = 776 - 761. Suppose 3*q + t = -4*o, -20*o = -22*o + 4*q + 20. Factor -2/3*h + o*h**2 + 4/9 + 2/9*h**3.
2*(h - 1)**2*(h + 2)/9
Suppose -4*f + 2*c = -36, 4*f - 40*c + 41*c = 36. Factor 5/2*n**5 - f*n**4 + 1 - 3/2*n + 11*n**3 - 4*n**2.
(n - 1)**4*(5*n + 2)/2
Let s(q) = 6*q**4 + 53*q**3 - 75*q**2 + 37*q + 14. Let c(r) = -r**4 - 2*r**3 - 2. Let x(v) = 28*c(v) + 4*s(v). Factor x(j).
-4*j*(j - 37)*(j - 1)**2
Let t(b) be the second derivative of b**5/110 + 389*b**4/66 - 130*b**3/11 + 6*b - 157. Factor t(z).
2*z*(z - 1)*(z + 390)/11
Let q(w) = 3*w**2 + 91*w + 12. Let u(h) = -8*h**2 - 182*h - 27. Let y(a) = -9*q(a) - 4*u(a). Factor y(j).
j*(5*j - 91)
Let r = 6074/4479 + -34/1493. Factor 2/9*q**2 + r + 10/9*q.
2*(q + 2)*(q + 3)/9
Let p(w) be the second derivative of -2/3*w**3 + 0*w**2 + 3/20*w**5 + 0 - 162*w + 1/3*w**4. Determine q so that p(q) = 0.
-2, 0, 2/3
Let q = 412 + -388. Factor -13*n + 7 - q*n**3 + 37*n + 25 - 28*n**2 - 6 + 2*n**4.
2*(n - 13)*(n - 1)*(n + 1)**2
Determine a so that 3/2*a**3 + 15/2*a**2 + 9/2*a - 3/2*a**4 + 0 = 0.
-1, 0, 3
What is x in 54*x**4 + 113*x**4 - 192*x**4 + 15*x**5 + 130*x + 265*x**2 - 145*x**3 - 240 = 0?
-3, -1, 1, 2, 8/3
Suppose -2*h - 2 = -3*h. Suppose -u + h = 2*d, 0*d + 2*u = d - 6. Let c - 12*c**5 - 56*c**4 - 68*c**3 - 34*c**d + 10*c**2 - c = 0. Calculate c.
-3, -1, -2/3, 0
Suppose 675*f + 579*f = -10 + 1156 + 1362. Let -4/7*l**3 - 64/7 - 48/7*l**f + 4/7*l**4 + 16*l = 0. What is l?
-4, 1, 2
Let w(g) be the first derivative of -3*g**4/4 - 33*g**3 + 159*g**2 - 216*g + 1453. Find q such that w(q) = 0.
-36, 1, 2
Factor 2/5*j**2 + 96/5*j + 182.
2*(j + 13)*(j + 35)/5
Let y(s) = -s**2 - 16*s - 22. Let b be y(-16). Let h be 5 - (b/(-18) + 6/(-27)). Suppose -2*p**3 - p**2 - 2*p**h + 6*p**4 + 5*p**2 - 6*p**3 = 0. What is p?
0, 1
Let o be 16/14*(71 + (-48025)/680). Factor -o*z**4 - 12/7*z - 12/7 + 9/7*z**2 + 6/7*z**3.
-3*(z - 2)**2*(z + 1)**2/7
Let d be ((-266)/28 + 1*2)*2. Let f be (-9 - d)*(1 - 27/(-2)). Determine b so that -6 - 30*b**2 - 21*b**5 - 11 - f*b**3 - 7 - 36*b**2 + 90*b**4 + 108*b = 0.
-1, 2/7, 1, 2
Let -14/15*y**4 + 332/15*y**3 - 814/15*y**2 + 328/15*y + 56/5 = 0. Calculate y.
-2/7, 1, 2, 21
Let t(z) be the third derivative of z**6/150 + 3*z**5/50 - 3*z**4/10 - 8*z**2 - 35. Factor t(l).
2*l*(l + 6)*(2*l - 3)/5
Suppose -11*o + 960 = -129. Let s = o + -84. What is c in -5*c**5 - s*c**4 - 13*c**3 - 6*c**2 - 3*c**3 + c**2 + c**3 = 0?
-1, 0
Let m = 88469 - 88467. Find l, given that 0 + 2/5*l**4 + 14/5*l**m - 2*l**3 - 6/5*l = 0.
0, 1, 3
Let t = 119/248 + 253/248. Determine z so that -3/2*z**5 + t*z**3 + 0*z**2 + 0*z + 0*z**4 + 0 = 0.
-1, 0, 1
Find v such that -2/3*v**3 + 322/3*v**2 + 0 - 320/3*v = 0.
0, 1, 160
Let l be ((-632)/(-474))/((-6)/(-45)) - (-162)/(-33)*2. Determine i so that -2/11 - 4/11*i - l*i**2 = 0.
-1
Let f(k) be the third derivative of k**7/350 - k**6/25 - k**5/100 + k**4/5 - 525*k**2. Factor f(v).
3*v*(v - 8)*(v - 1)*(v + 1)/5
Let v = -51483 - -51485. Factor 1/3*t**v - 12*t + 108.
(t - 18)**2/3
Let m(r) = r**2 + 2*r - 13. Let b be m(3). Suppose 5*s + 19 = -b*k, 0 = -2*s - 0 - 10. Factor -2*z - k*z**2 + 5*z - 3*z + z.
-z*(3*z - 1)
Let i(d) = -4*d**2 + 1921*d - 925462. Let t(z) = -z**2 - z - 6. Let h(p) = -2*i(p) + 6*t(p). Solve h(k) = 0.
962
Let t(a) = -8*a + 60. Let u be t(7). Let o(m) be the third derivative of -u*m**2 + 0*m - 2/3*m**3 + 0*m**4 + 0 + 1/15*m**5. Factor o(v).
4*(v - 1)*(v + 1)
Let u(m) be the second derivative of -5*m**4/12 + 49*m**3/3 + 20*m**2 + 1798*m. Factor u(g).
-(g - 20)*(5*g + 2)
Suppose -8 = -16*m + 12*m. Determine s, given that -11*s**4 - 50*s**3 - 50*s**m + 20*s - 5*s**5 - 31*s - 14*s - 14*s**4 - 5 = 0.
-1
Let p(f) be the second derivative of 0 - 118*f - 10*f**2 + 5/24*f**4 + 35/12*f**3. What is z in p(z) = 0?
-8, 1
Let k = 15510 + -1085699/70. Let r(n) be the second derivative of -2/7*n**2 + 0 + 5/21*n**3 - 11*n + k*n**5 - 2/21*n**4. Solve r(d) = 0 for d.
1, 2
Let l(s) = -5*s + 128. Let v be l(25). Factor v*r**3 + 2*r**2 - 4*r**4 + 4*r**2 - 15*r**3 + 6*r**2 - 24 + 28*r.
-4*(r - 1)**2*(r + 2)*(r + 3)
Let w(l) be the second derivative of -l**7/105 - 8*l**6/25 - 114*l**5/25 - 536*l**4/15 - 832*l**3/5 - 2304*l**2/5 + 60*l - 9. Factor w(k).
-2*(k + 4)**3*(k + 6)**2/5
Suppose -4*t - 3 = 3*k, 18 = 99*k - 98*k - 5*t. Let l(s) be the second derivative of 29*s + 4/3*s**k - 1/27*s**4 - 18*s**2 + 0. Factor l(d).
-4*(d - 9)**2/9
Let v be -2*(15/(-6) - 0). Suppose 1128*b**v - 3*b**4 + 6*b**3 - 1131*b**5 - b + b = 0. What is b?
-2, 0, 1
Let l be (3/(-9))/(8/24). Let q(d) = -d**2 - d. Let i(x) = -18*x**2 - 27*x + 36. Let w(a) = l*i(a) + 15*q(a). Factor w(b).
3*(b - 2)*(b + 6)
Suppose 16 = -743*t + 741*t, 210 = 5*m - 5*t. Factor 8 + 1/3*w**5 + m*w**3 + 97/3*w + 28/3*w**4 + 148/3*w**2.
(w + 1)**4*(w + 24)/3
Let v = -127/151 - -26821/31710. Let d(g) be the third derivative of -17*g**2 + 0*g + 0 - v*g**6 + 1/42*g**4 + 2/735*g**7 + 0*g**3 - 1/105*g**5. Factor d(s).
4*s*(s - 1)**2*(s + 1)/7
Let j be -1 - (-27)/1 - 6. Factor 9*y**4 - 17*y**3 + 11*y**5 - 8*y**5 - 9*y**2 - 6*y + j*y**3.
3*y*(y - 1)*(y + 1)**2*(y + 2)
Solve 13/5*c**3 + 7/5*c**5 + 23/5*c**4 - 4*c - 19/5*c**2 - 4/5 = 0 for c.
-2, -1, -2/7, 1
Suppose 373 = 226*b - 87 - 218. Suppose -36/5*u**5 + 0 + 21/5*u**2 - 39/5*u**4 - 6/5*u + 24/5*u**b = 0. Calculate u.
-1, 0, 1/4, 2/3
Let l(a) be the first derivative of a**6/15 - a**5/10 + 43*a + 98. Let w(n) be the first derivative of l(n). Factor w(p).
2*p**3*(p - 1)
Let m(p) be the second derivative