actor w(k).
5*(k - 6)*(3*k - 2)**2
Let v(d) be the third derivative of 2*d**7/735 - d**6/21 - 37*d**5/105 - 13*d**4/21 - 2151*d**2. Factor v(q).
4*q*(q - 13)*(q + 1)*(q + 2)/7
Let n be (4860/1260)/((-9)/(-2)). Let n*m + 0 - 3/7*m**2 = 0. Calculate m.
0, 2
Let p = 207 + -209. Let k(q) = -12*q**4 - 4*q**3 - 5*q**2 - 13*q + 11. Let d(a) = -a**4 - a + 1. Let t(l) = p*k(l) + 22*d(l). Factor t(m).
2*m*(m + 1)**2*(m + 2)
Let n = -400 + 409. Let w be ((-5)/5)/(-1) - -1. Suppose 27/4*t**3 + n*t**w + 0 + 3*t + 3/2*t**4 = 0. Calculate t.
-2, -1/2, 0
Let s(t) be the second derivative of t**4/3 + 3980*t**3/21 + 1136*t**2/7 - 6*t - 58. Determine h, given that s(h) = 0.
-284, -2/7
Let x(p) = p**3 + 13*p**2 + 43*p + 8. Let s be x(-6). Suppose -5*a + s*a = 0. Let a - 12/7*t**2 - 24/7*t**3 - 9/7*t**4 + 0*t = 0. What is t?
-2, -2/3, 0
Let p(a) = -10*a**2 + 475*a - 1123. Let b be p(45). Factor 4/9*h - 16/9 + 2/9*h**b.
2*(h - 2)*(h + 4)/9
Let r = 13526732/303485 - -4/43355. Solve -3/7*j**2 + r*j - 8112/7 = 0 for j.
52
Let i = 1077 + -1072. Let k(u) be the second derivative of 0 + 3/10*u**i + 16/3*u**3 - 2*u**4 + 17*u - 1/60*u**6 + 0*u**2. Factor k(b).
-b*(b - 4)**3/2
Let k(p) = 2*p**2 + 13*p + 45. Let c(g) = 2 - 3 + 2 - 391*g + 390*g. Let d(l) = -18*c(l) + 2*k(l). Factor d(i).
4*(i + 2)*(i + 9)
Let n(h) = -2*h**2 + 8*h + 2. Suppose -4*j + 4 = -4. Let v = -112 - -117. Let u(z) = -z**3 + 3*z**2 - 17*z - 5. Let c(m) = j*u(m) + v*n(m). Factor c(x).
-2*x*(x - 1)*(x + 3)
Let v be 4*(0 - -1) + -1. Suppose -26*a = -58*a + 33*a. Suppose 2/7*k**2 + a + 0*k + 2/7*k**5 - 2/7*k**4 - 2/7*k**v = 0. What is k?
-1, 0, 1
Let c(j) be the first derivative of j**4/8 - 9*j**3/2 + 31*j**2/2 + 120*j + 3169. Find p such that c(p) = 0.
-2, 5, 24
Let q(f) be the second derivative of f**4/32 + 53*f**3/2 + 8427*f**2 - 52*f + 50. What is v in q(v) = 0?
-212
Let k(c) = 4*c**2 + 3*c - 2. Let x be k(3). Let r = x - 38. Factor -r*s**3 + s**3 - s**3 - 9*s + 15*s**2 - s.
-5*s*(s - 2)*(s - 1)
Let l(d) = -5*d**5 + d**3 + d**2 + d - 1. Let a(p) = -102*p**5 - 66*p**4 + 75*p**3 + 225*p**2 - 300*p + 105. Let b(k) = a(k) - 21*l(k). Factor b(o).
3*(o - 21)*(o - 1)**3*(o + 2)
Let v(f) be the second derivative of f**6/10 + 11*f**5/10 + 61*f**4/36 - 32*f**3/9 + 2*f**2 + 272*f - 7. Determine x so that v(x) = 0.
-6, -2, 1/3
Suppose -19*f + 81*f + 161*f = 0. Let x(p) be the second derivative of 0*p**2 - 1/25*p**5 + 0*p**3 + 1/75*p**6 + f + 1/30*p**4 + 32*p. Factor x(n).
2*n**2*(n - 1)**2/5
Let k(w) be the third derivative of -w**6/30 - 411*w**5/5 + 823*w**4/2 - 2470*w**3/3 - 2371*w**2. Determine v so that k(v) = 0.
-1235, 1
Let q = 948/37 - 4490750/175269. Let v = q + 1583/9474. Factor 0 - 1/6*o**3 + 0*o**2 - v*o**5 + 0*o + 1/3*o**4.
-o**3*(o - 1)**2/6
Let r be (-35438)/(-22620) + ((-16)/(-30))/(-8). Suppose -r + t**2 + 1/4*t + 1/4*t**3 = 0. Calculate t.
-3, -2, 1
Let s = -9547690/7 - -1364020. Find x, given that -s + 60/7*x - 2/7*x**2 = 0.
15
Let w(k) = k**3 + k**2 - k + 2. Let d be w(-2). Find y, given that d + 64*y**5 - 17 - 53 + 492*y - 432*y**4 - 2 - 1142*y**2 + 1065*y**3 = 0.
3/8, 2
Let a(z) = 16*z**2 + 7*z - 9. Let q(c) = -17 - 2 + 917*c**2 + 13*c - 885*c**2. Suppose 4*u + 77 = 21. Let r(s) = u*a(s) + 6*q(s). Factor r(p).
-4*(p + 1)*(8*p - 3)
Let c(i) = -2*i**2 - 50*i + 376. Let q be c(6). Let r(j) be the third derivative of 0 - 1/48*j**5 + 17*j**2 - 5/12*j**3 + 5/32*j**q + 0*j. Factor r(h).
-5*(h - 2)*(h - 1)/4
Let d(t) be the first derivative of 4*t**3/21 - 124*t**2/7 - 541. Factor d(a).
4*a*(a - 62)/7
Let b(g) = 2*g**2 + 41*g + 13. Let a be b(-23). Let d be (a - 0)/(1 + 13). Determine y so that 0 + 8/7*y + 68/7*y**2 + d*y**4 + 160/7*y**3 = 0.
-2, -1/4, 0
Suppose p = -2*a + 13, 2*p - 9 = -2*a + 9. Determine l so that 102*l**4 - 233*l**4 + l**5 - 4*l**p + 116*l**4 = 0.
-5, 0
Let i be 2 - 5/(-3) - (69 + -70). Let q(f) be the second derivative of -3*f**4 - i*f**3 - 4*f**2 - 2/15*f**6 + 0 - f**5 - 11*f. Factor q(p).
-4*(p + 1)**3*(p + 2)
Let s be ((-1)/(4/64) - -34) + -14. Determine z, given that -32/9*z + 8/3*z**2 - 28/9 + 32/9*z**3 + 4/9*z**s = 0.
-7, -1, 1
Let m = 30786/8437 - -128/649. What is o in -590/13*o**4 + m*o**5 + 448/13*o**3 + 0*o - 88/13*o**2 + 0 = 0?
0, 2/5, 11
Let j(o) be the second derivative of 1/6*o**4 + 3/20*o**5 + o + 0*o**2 + 1/30*o**6 + 0*o**3 - 15. Find s such that j(s) = 0.
-2, -1, 0
Suppose 6*f + 48 = 12*f. Let t be (-5)/(30/f) + 143/33. Factor -t*h**2 + 12*h + h**2 + 0*h**2.
-2*h*(h - 6)
Factor 322431*g**2 - 1345*g**3 - 282926*g + 46326*g**2 + g**4 - 168658*g + 84171*g**2.
g*(g - 672)**2*(g - 1)
Let q(a) be the first derivative of 64*a**2 + 3*a**4 - 58 - 92/3*a**3 - 48*a. Let q(m) = 0. Calculate m.
2/3, 1, 6
Let t be -17*1 - (-502 + 482). Let y(q) be the second derivative of -9*q + 0 + 0*q**2 - 1/21*q**4 + 0*q**t + 4/105*q**6 - 1/10*q**5. Factor y(z).
2*z**2*(z - 2)*(4*z + 1)/7
Let h(i) be the first derivative of -5*i**4/4 + 10*i**3 - 45*i**2/2 + 20*i - 1259. Let h(p) = 0. What is p?
1, 4
Let n = -8 - -11. Let t(c) = -c**4 - c**3 - c**2. Let d(y) = 2276*y + 4*y**2 - 2264*y + 2*y**4 - 11*y**2. Let b(q) = n*d(q) + 3*t(q). Factor b(l).
3*l*(l - 2)**2*(l + 3)
Let s = 141519/4 + -33975. Let j = 1406 - s. Suppose -d**3 - 11/4*d**2 + 1/2 - j*d = 0. What is d?
-2, -1, 1/4
Let l be -2*((-4)/(-6))/(16/(-24)). Factor -3408*v**3 - 1600*v + 1927*v**4 + 3132*v**l - 583*v**4 + 162 + 385*v.
3*(4*v - 3)**3*(7*v - 2)
Let w(v) be the first derivative of -7*v**6/9 - 34*v**5/5 - 28*v**4/3 - 8*v**3/3 + 824. Let w(g) = 0. Calculate g.
-6, -1, -2/7, 0
Let a be 203 - 7/(7/(-5)). Let o be (-49)/(-14)*(5 + a/(-42)). What is v in o*v**2 - 1/6*v - 1/3 = 0?
-1, 2
Let d(b) be the first derivative of 3*b**4/2 + 110*b**3/3 + 142*b**2 - 240*b - 1512. Let d(y) = 0. Calculate y.
-15, -4, 2/3
Let u(q) be the first derivative of -2*q**3/9 + 230*q**2 - 79350*q + 7561. Determine n, given that u(n) = 0.
345
Factor 1846*u**3 + 2045 - 1851*u**3 + 2405*u**2 - 5484*u + 350 + 689*u.
-5*(u - 479)*(u - 1)**2
Suppose 13 - 1 = k. Factor 12*o - 9*o**2 + 16*o + 5*o**2 - k - 12*o.
-4*(o - 3)*(o - 1)
Let w(g) be the second derivative of -13/3*g**3 + 3/5*g**5 - 2/3*g**4 - 6*g**2 + 2/15*g**6 + 108*g + 0 - 1/21*g**7. Find v, given that w(v) = 0.
-1, 2, 3
Let p(h) be the first derivative of -16/15*h**3 - 16/25*h**5 + 13/10*h**4 + 3/10*h**2 + 1/10*h**6 - 55 + 0*h. Let p(g) = 0. What is g?
0, 1/3, 1, 3
Suppose -5*z + 22 = -8. Let d = -3 + z. Find w such that 9*w - 1 - 3*w**d + 6*w**2 - 3*w**5 - 7*w**3 + 4 + 4*w**3 - 9*w**4 = 0.
-1, 1
Let l = -12516 - -25033/2. Let p(j) be the second derivative of 0*j**2 + 0 - 18*j + l*j**4 + 2/3*j**3. Factor p(w).
2*w*(3*w + 2)
Let q(y) be the first derivative of 28*y + 2/9*y**6 + 20/3*y**5 + 30*y**4 + 520/9*y**3 + 106 + 170/3*y**2. Factor q(u).
4*(u + 1)**4*(u + 21)/3
Let r(w) be the second derivative of -w**5/10 - 381*w**4/2 - 145161*w**3 - 55306341*w**2 + 21*w - 12. Suppose r(k) = 0. What is k?
-381
Let u = -841 - -843. Let n be (3 - 83/27)/((-17)/153). Factor 2/3 + 1/6*d**u - n*d.
(d - 2)**2/6
Let t be 1 - (49/52 - 4/16). Let q = -16/1001 - -170/1001. Find i such that -2/13*i**3 + 0 - q*i - t*i**2 = 0.
-1, 0
Let c be 7/2 + 12/24. Let i(d) = 1419*d - 7. Let t be i(c). Factor 10*s**2 - 5*s**3 - 5669 + t.
-5*s**2*(s - 2)
Let f(v) be the first derivative of -11*v**6/2 + 45*v**5 - 45*v**4/2 - 140*v**3 - 36*v**2 + 902. Let f(l) = 0. Calculate l.
-1, -2/11, 0, 2, 6
Let a = 199968 - 799859/4. Suppose -a*b + 1 + 3/4*b**2 = 0. Calculate b.
1/3, 4
Solve 1560 + 2*l**5 + 2242*l**2 + 62*l**4 - 10132*l + 240 + 13652*l + 582*l**3 = 0.
-18, -5, -2, -1
Let g(v) be the first derivative of 6/7*v**2 - 68/21*v**3 + 8/7*v - 8/21*v**6 + 27 + 13/7*v**4 + 12/35*v**5. Solve g(p) = 0.
-2, -1/4, 1
Let v = 8/28519 - -199601/114076. Factor -3/2*u**2 - 1/2*u**4 + 15/4*u**3 - v*u + 0.
-u*(u - 7)*(u - 1)*(2*u + 1)/4
Suppose 5/2*y**2 - 1125 - 35/2*y = 0. Calculate y.
-18, 25
Let j = -24923/4 - -6231. Let t(k) be the second derivative of -20*k - 1/80*k**5 + 0 + 1/12*k**4 + j*k**2 - 5/24*k**3. Factor t(f).
-(f - 2)*(f - 1)**2/4
Suppose 4*f = 6 + 6. Factor 11*v**2 - 4*v**4 - 8*v - 306*v**f + 314*v**3 + 5*v**2 - 12.
-4*(v - 3)*(v - 1)*(v + 1)**2
Let l(t) be the third derivative of -t**7/840 + t**6/60 - 3*t**5/40 + 7*t**4/12 + 2*t**2 - 5