he first derivative of 55 - 1/26*a**4 + 0*a + 8/39*a**3 + 0*a**2. Factor t(s).
-2*s**2*(s - 4)/13
Let v be ((-16)/72)/(3/(-27)). Find u, given that -48*u + u**2 + 2*u**2 - u**v = 0.
0, 24
Let h = -76 - -80. Let y be ((-1)/h*0 - -1)*-2. Let c(z) = z**4 + 1. Let m(s) = 3*s**2 - 2*s + 1. Let i(j) = y*c(j) + 2*m(j). What is u in i(u) = 0?
-2, 0, 1
Let a(y) be the first derivative of -y**6/3 - 1866*y**5/5 + 1871*y**4 - 11236*y**3/3 + 3747*y**2 - 1874*y + 131. Factor a(i).
-2*(i - 1)**4*(i + 937)
Let n(o) be the third derivative of -1/420*o**7 - 1/4*o**4 + 2*o**2 - 1/30*o**5 - 156 + 7/240*o**6 + 0*o**3 + 0*o. Find i such that n(i) = 0.
-1, 0, 2, 6
Let s(f) be the third derivative of -f**5/300 + 79*f**4/120 - 14*f**2 + 12. Factor s(m).
-m*(m - 79)/5
Let x(z) be the first derivative of z**4/2 + 92*z**3/3 + 697*z**2 + 6936*z + 92. Determine y, given that x(y) = 0.
-17, -12
Let l = -2/47187 - -4954639/94374. Let -25/2*m**5 - 60*m**2 + 148*m**3 - 24 + l*m**4 - 104*m = 0. What is m?
-2, -2/5, 1, 6
Let h = -9/704 + 22555/2112. Solve -26*q**2 - 112/3*q**3 + h*q**4 - 8/3 + 58/3*q = 0 for q.
-1, 1/4, 4
Find l, given that 16*l**4 + 8 - 116/3*l**3 + 76/3*l - 112/3*l**2 = 0.
-1, -1/4, 2/3, 3
Let i be (-40)/(-180) + 313/9. Let n be (i/30)/(21/27). Find q, given that n*q - 9/4 - 1/4*q**2 = 0.
3
Suppose -250*w = 2861*w - 6222. Solve 3/8*k**w + 63/8 + 15/4*k = 0.
-7, -3
Suppose -2*z + 2*l = -18, 0 = 23*z - 24*z + 3*l + 11. Factor 96/11*k - 30/11*k**2 - z + 2/11*k**3.
2*(k - 11)*(k - 2)**2/11
Let x(t) be the first derivative of -39/4*t**2 + 1/4*t**3 + 48 + 507/4*t. Factor x(q).
3*(q - 13)**2/4
Let i(b) be the second derivative of b**6/240 - b**5/60 - b**4/6 + 9*b**2 + 43*b. Let k(f) be the first derivative of i(f). Determine p, given that k(p) = 0.
-2, 0, 4
Let w be (-188)/4512 + (-5)/(-84). Let p(q) be the third derivative of -11*q**2 + 0*q + 0 - 1/7*q**3 + 1/140*q**5 + w*q**4. Factor p(o).
3*(o - 1)*(o + 2)/7
Let j(r) = -50*r**3 - 535*r**2 + 2185*r + 10. Let g(s) = -59*s**3 - 537*s**2 + 2186*s + 12. Let p(c) = 5*g(c) - 6*j(c). Let p(b) = 0. Calculate b.
-109, 0, 4
Let k(x) be the third derivative of x**5/30 - 4*x**4 - 51*x**3 - 142*x**2 - x + 2. Factor k(d).
2*(d - 51)*(d + 3)
Let d = 92120 + -92117. Factor -256/7 - 4/7*b**4 - 72/7*b**d - 388/7*b**2 - 576/7*b.
-4*(b + 1)**2*(b + 8)**2/7
Suppose 0 = 4*y + 62 + 18. Let g be ((-16)/(-14))/(y/(-70)). Factor 23*u**4 + 0*u**5 + g*u**3 - 19*u**4 - 4*u**5 - 4*u**2.
-4*u**2*(u - 1)**2*(u + 1)
Let k = 49 + -33. Suppose k + 15 = 2*y - 5*l, -5*y - 3*l + 31 = 0. Let -6*v**3 - v**3 + y*v**4 - 2*v**5 - v**3 = 0. What is v?
0, 2
Let z be ((-3)/2)/(-6*7/(-19348)). Let c = -1381/2 - z. Solve c*q - 1 + 1/2*q**2 = 0.
-2, 1
Let q = 23368 - 23365. Let b(h) be the second derivative of 0 + 4/57*h**q - 2*h - 1/114*h**4 + 5/19*h**2. Factor b(k).
-2*(k - 5)*(k + 1)/19
Let d(k) be the third derivative of k**10/5600 - k**9/35280 - k**8/11760 - k**5/15 + k**4 + 5*k**2 - 7. Let w(v) be the third derivative of d(v). Factor w(p).
3*p**2*(7*p - 2)*(9*p + 2)/7
Let g be ((-50)/12)/(87/(-16994)) - 0. Let i = -813 + g. Factor i*n**2 + 2/3*n**3 - 4/9 - 2/9*n.
2*(n + 1)**2*(3*n - 2)/9
Suppose 96*o = 114*o + 69*o. Let t(h) be the second derivative of 1/3*h**3 - 1/8*h**4 - 1/10*h**5 + o - 20*h + h**2 - 1/60*h**6. What is k in t(k) = 0?
-2, -1, 1
Let m(i) = -2*i**2 + 18*i - 11. Let n be m(8). Factor -541*b**3 - 5*b**n + 180*b**4 - 3 - 670*b**3 - 409*b**3 + 3.
-5*b**3*(b - 18)**2
Solve 178/9*h + 2/9*h**3 - 116/9 - 64/9*h**2 = 0 for h.
1, 2, 29
Find c such that 4/3*c**2 - 1/3*c**3 - 1/3*c**4 + 0 + 4/3*c = 0.
-2, -1, 0, 2
Let r(t) = -t**2 - 29*t + 32. Suppose -4*v + 26 = -4*m - 110, 0 = -4*m - 4*v - 104. Let h be r(m). Determine y so that 0 - 2/7*y**h + 0*y = 0.
0
Let y(q) be the first derivative of -q**9/84 - 61*q**8/420 + q**7/15 + q**3 + 62. Let r(a) be the third derivative of y(a). Factor r(g).
-4*g**3*(g + 7)*(9*g - 2)
Let u(a) be the second derivative of a**6/10 - 15*a**5/4 + 67*a**4/2 - 64*a**3 - 432*a**2 + 2*a - 32. Factor u(m).
3*(m - 18)*(m - 4)**2*(m + 1)
Let t be 9*((-84)/18)/(-7). Let s be (2/t)/(32/384). What is u in 6*u**3 - 21*u**s + u - 10*u + 21*u**3 + 36*u**2 - 3*u = 0?
-1, 0, 2/7, 2
Let v(a) be the third derivative of -a**6/40 - 161*a**5/20 + 81*a**4/4 + 3021*a**2. Factor v(f).
-3*f*(f - 1)*(f + 162)
Let y = -111079 + 111081. Factor 2/3*f + 8/9*f**y + 0 + 2/9*f**3.
2*f*(f + 1)*(f + 3)/9
Let l be (((-12)/15)/(-4))/(6*(203/294)/29). Determine d, given that -l*d**2 + 1/5*d**3 + 3*d - 9/5 = 0.
1, 3
Suppose -4*r = -4*q + 124, 2*q + 3*q - 159 = r. Let i = -29 + q. Factor -3*b**2 + 5*b**5 + 95*b**i + 23*b**5 - 83*b**3 - 5*b**2 + 48*b**4.
4*b**2*(b + 1)**2*(7*b - 2)
Suppose -3*z = b - 3, -8*b - z + 12 = -4*b. Suppose 2*r = -b*r + 10. Factor 7*v + 8*v**3 - 5*v**4 + 6*v**4 - 3*v**3 + 2 + 11*v**r - 2*v**2.
(v + 1)**3*(v + 2)
Let s(p) = p**3 - 35*p**2 - 35*p - 34. Let q be s(36). Factor -9*z**3 + 0*z - 50 + 28 + 3*z**q + 9*z + 16 + 3*z**4.
3*(z - 2)*(z - 1)**2*(z + 1)
Factor 393*d**2 - 199*d**2 - 7716*d - 14730244 - 7636*d - 198*d**2.
-4*(d + 1919)**2
Let q = 12678707/15 - 845247. Find n such that 0*n - 26/15*n**2 + q*n**3 + 0 = 0.
0, 13
Solve -1799/9*s + 100 + 898/9*s**2 + 1/9*s**3 = 0.
-900, 1
Let s(d) be the second derivative of -5*d**7/42 - 5*d**6/3 + 10*d**5 + 25*d**4/6 - 65*d**3/2 - 5*d + 2. Let s(x) = 0. Calculate x.
-13, -1, 0, 1, 3
Let s(a) be the second derivative of -9*a**5/80 - 71*a**4/24 - 127*a**3/6 + 15*a**2 + 1466*a. Find w such that s(w) = 0.
-10, -6, 2/9
Let d(p) be the second derivative of -1/5*p**2 + 2/15*p**3 - 1/30*p**4 + 8 - p. Factor d(g).
-2*(g - 1)**2/5
Suppose 111/5*l**2 - 108/5 - 3/5*l**4 + 27/5*l**3 - 27/5*l = 0. Calculate l.
-3, -1, 1, 12
Let l(t) be the second derivative of -t**6/15 - t**5 + 22*t**4/3 + 88*t**3 + 288*t**2 + 5*t + 780. Factor l(y).
-2*(y - 6)*(y + 2)**2*(y + 12)
Find c, given that -c**5 - 26*c**3 - 9/2 - 17/2*c**4 - 35*c**2 - 21*c = 0.
-3, -1, -1/2
Factor 641*p**3 + 3*p**2 - 12*p - 634*p**3 + 14*p**2.
p*(p + 3)*(7*p - 4)
Let p(a) be the first derivative of -a**5 + 15*a**4 - 175*a**3/3 + 60*a**2 - 318. Factor p(x).
-5*x*(x - 8)*(x - 3)*(x - 1)
Let d(f) be the second derivative of -3*f**5/8 + 463*f**4/24 + 31*f**3/6 - 2507*f - 2. Solve d(i) = 0 for i.
-2/15, 0, 31
Let a(y) be the second derivative of 0*y**2 + 48*y - 5/3*y**3 - 1/20*y**5 - 7/12*y**4 + 0. Factor a(o).
-o*(o + 2)*(o + 5)
Let b be (20 + -18)*7/2. Let p be ((-2)/(-4))/(b/16). Determine c, given that 2/7*c + p*c**2 + 0 = 0.
-1/4, 0
Let r(t) be the second derivative of t**9/37800 + t**8/5600 - t**7/700 + t**6/360 + 23*t**4/2 + 33*t. Let d(l) be the third derivative of r(l). Solve d(j) = 0.
-5, 0, 1
Factor 8587 - 5*o**4 - 51305*o**3 - 1170*o + 51425*o**3 + 7613 - 745*o**2.
-5*(o - 10)*(o - 9)**2*(o + 4)
Let l(i) be the first derivative of 2*i**6/9 + 14*i**5/15 - 2*i**4 - 10*i**3 - 520. Factor l(m).
2*m**2*(m + 3)**2*(2*m - 5)/3
Let 137/6*f**4 - 5/2*f**5 - 52*f + 298/3*f**2 + 16/3 - 73*f**3 = 0. What is f?
2/15, 1, 2, 4
Suppose -50986/11*j**2 + 5618/11*j**3 - 72/11 + 3824/11*j = 0. Calculate j.
2/53, 9
Let r(i) be the third derivative of i**6/15 - 143*i**5/6 - 1627*i**4/12 - 362*i**3/3 + 2129*i**2. Factor r(y).
2*(y - 181)*(y + 2)*(4*y + 1)
Let i be 5/((-45)/28) - 148/(-333)*9. Let 8/3*r - 26/9*r**2 - 2/9*r**4 - i + 4/3*r**3 = 0. Calculate r.
1, 2
Let q(b) = -17*b**2 + 102*b - 867. Let k(c) be the third derivative of c**5/5 - 17*c**4/6 + 289*c**3/3 + 96*c**2. Let y(v) = 7*k(v) + 5*q(v). Factor y(f).
-(f - 17)**2
Suppose 11*q = 19 + 3. Let a be (33/18)/(1507/411). Factor 2*v - q - a*v**2.
-(v - 2)**2/2
Find z, given that -2/5 + 9/5*z + 4/5*z**5 - 13/5*z**3 - 1/5*z**2 + 3/5*z**4 = 0.
-2, -1, 1/4, 1
Let z = 266/9 - 1754/63. Let k = -3838 - -3840. Factor 8*g + 32/7 + z*g**k.
4*(g + 4)*(3*g + 2)/7
Let s(x) be the second derivative of -2*x**5/5 - 5*x**4/12 - x**3/6 - x**2 + 13*x. Let f(b) be the first derivative of s(b). Factor f(y).
-(4*y + 1)*(6*y + 1)
Find f such that -615/4*f - 21/2 - 681/4*f**3 - 75/4*f**4 - 1179/4*f**2 = 0.
-7, -1, -2/25
Let m be ((-15)/(-7) - 2)*-11*11/(-1694). Let q(d) be the second derivative of 17*d + 0*d**6 + m*d**7 + 0*d**2 - 3/140*d**5 + 0*d**4 + 0 + 0*d**3. Factor q(i).
3*i**3*(i - 1)*(i + 1)/7
Factor 80*l + 2/13*l**2 + 