rivative of f**6/21 - 4*f**5/5 + 131*f**4/42 + 52*f**3/7 - 36*f**2/7 + 7383*f. Determine j so that u(j) = 0.
-1, 1/5, 6
Find u such that 36*u - 40/3*u**2 + 12 = 0.
-3/10, 3
Let b be (33/22)/((-3)/(-362)). Factor 269*w**2 + b*w**2 + 5*w**4 + 31*w**3 - 116*w**3 - 1080 - 540*w.
5*(w - 6)**3*(w + 1)
Let j(b) be the second derivative of b**4/32 - 285*b**3/16 + 849*b**2/8 - 2276*b - 2. Factor j(s).
3*(s - 283)*(s - 2)/8
Let c be 1 + -1 - 4 - 320/(-5). Solve 25*m**2 - c*m**2 - 16*m - 18 + 13*m**2 - 2*m**3 - 22*m = 0.
-9, -1
Suppose 2*q + 2*u = -18, 3*q + 2*u + 22 = -0*q. Let i be (-4)/(-6)*(-102)/q. Factor -23 - 6*t + 2*t**2 + 44 - i.
2*(t - 2)*(t - 1)
Let k be (-9455)/61 - (0 + 4*1). Let n be 9 + k/18 - (-1)/3. Factor -1/2*p**2 - 1/6 - 1/6*p**3 - n*p.
-(p + 1)**3/6
Factor -57*z - 126 - 3556*z**2 + 14409*z**2 - 3600*z**2 - 3614*z**2 - 3570*z**2.
3*(z + 1)*(23*z - 42)
Let d(a) be the second derivative of -a**4/72 - 394*a**3/9 - 155236*a**2/3 - 9932*a. What is w in d(w) = 0?
-788
Determine t so that 453*t**3 + 1266833 - 1266833 + 716*t**2 + 94*t**4 + t**5 + 356*t = 0.
-89, -2, -1, 0
Factor 320088 - 393767 + 1641679 + 304934*d - 299334*d + 5*d**2.
5*(d + 560)**2
Let j(v) = -v**3 + 7*v**2 + 15*v + 21. Let l be j(9). Let f be (3/l)/(-3*(-9)/(-216)). Suppose 0 - 1/4*u + 1/4*u**3 + 1/8*u**2 - 1/8*u**f = 0. What is u?
-1, 0, 1, 2
Let l(b) be the second derivative of -b**7/126 + b**6/30 + b**5/6 + 3401*b. Find f such that l(f) = 0.
-2, 0, 5
Let -500/3*w**4 + 1504/3*w**2 + 2/3*w**5 + 31244/3*w**3 - 94750/3*w + 62500/3 = 0. Calculate w.
-2, 1, 125
Suppose 4*r**2 - 2*r**2 - 70 + 152*r - 102*r - 90*r - 18 = 0. Calculate r.
-2, 22
Factor 3*x - 15/4*x**3 - 90 + 31/2*x**2 + 1/4*x**4.
(x - 6)**2*(x - 5)*(x + 2)/4
Let q(f) = f**2 + 3*f - 1. Let r(a) = -a**2 - 6246*a - 3257294. Let s(j) = -2*q(j) + r(j). Factor s(i).
-3*(i + 1042)**2
Let p(k) be the first derivative of 0*k - 121 + k**4 - 4/3*k**3 - 4*k**2. Find x, given that p(x) = 0.
-1, 0, 2
Suppose 0 = -308*f + 303*f + 80. Let a(c) be the first derivative of f*c - 4*c**2 - 9 + 1/3*c**3. Factor a(j).
(j - 4)**2
What is q in -3310/3*q - 1/3*q**2 - 2739025/3 = 0?
-1655
Let w(i) be the third derivative of -i**7/42 + i**6/2 - 19*i**5/12 - 5*i**4/2 + 50*i**3/3 - 1284*i**2. Suppose w(c) = 0. What is c?
-1, 1, 2, 10
Factor 0*v - 1/2*v**4 - 13*v**3 + 28*v**2 + 0.
-v**2*(v - 2)*(v + 28)/2
Let a(i) be the first derivative of -2*i**5/15 - i**4/3 + 62*i**3/9 - 28*i**2/3 + 6675. Factor a(s).
-2*s*(s - 4)*(s - 1)*(s + 7)/3
Let v(j) = -2*j**3 + 2*j - 1. Let x(s) = 42*s**3 - 18*s**2 - 20*s + 62. Let r(y) = -44*v(y) - 2*x(y). Factor r(c).
4*(c - 2)*(c + 1)*(c + 10)
Suppose 0 = 5*b + 53 + 517. Let a = -111 - b. Find l such that -4*l**5 - 46*l**4 + 4*l**a - 3*l**2 - 5*l**2 + 54*l**4 = 0.
-1, 0, 1, 2
Let a be -13 + (1780/(-712))/((-10)/124). Factor 2*k**3 + 23/4*k**2 + 81/8 + 1/8*k**4 - a*k.
(k - 1)**2*(k + 9)**2/8
Let k(x) = x**3 - 5*x**2 + 4*x + 7. Let a be k(4). Suppose a*m - 14*m = -147. Let m*i - 8*i**3 + 2 - 15*i - 6 + 6*i**3 = 0. Calculate i.
-2, 1
Let j(w) be the first derivative of 4/5*w**5 - 24 + 9*w**4 + 0*w - 40*w**2 - 16*w**3. Suppose j(s) = 0. Calculate s.
-10, -1, 0, 2
Factor -20*g - 2*g**3 - 1621*g**2 + 1633*g**2 + 4*g.
-2*g*(g - 4)*(g - 2)
Solve 1872807 - 5*t**2 + t**2 + 474217 + 4*t**2 + t**2 - 3064*t = 0.
1532
Determine n, given that -1360/3*n**3 + 310080*n + 2/3*n**4 + 228464/3*n**2 + 311904 = 0.
-2, 342
Let p be (213213/2343)/(35/2). Let p*k**2 + 4*k - 2*k**4 - 6/5*k**3 + 2/5*k**5 + 0 = 0. What is k?
-1, 0, 2, 5
Let r be (2/3)/((49/7)/126). Factor -8087 + 12*b + 8087 + 3*b**4 - 3*b**3 - r*b**2.
3*b*(b - 2)*(b - 1)*(b + 2)
Let p(q) be the second derivative of q**4/12 - 98*q**3/3 + 195*q**2/2 - 8571*q. Let p(y) = 0. Calculate y.
1, 195
Let t be (-1840)/92 + (-5 - 72/(-4)) - -10. Factor t + 1/6*n**2 + 3/2*n.
(n + 3)*(n + 6)/6
Let l(x) = -9*x + 1. Let g be l(4). Let h = g + 41. Determine a, given that 12*a**3 + 6*a - h*a**4 - 7*a**4 + 0*a**4 - 15*a**2 + 10*a**4 = 0.
0, 1, 2
Suppose 0 = 3*h - 629 - 2818. Suppose 1335*f + 125*f**3 + h + 182 + 825*f**2 + 480*f = 0. What is f?
-11/5
Let y = 1 + -1/3. Let t = -77143 + 77146. Determine z, given that 10/3*z**2 + 8/3 + y*z**t + 16/3*z = 0.
-2, -1
Suppose 1058*y - 1056*y - 34 = -4*l, -3*y - 2*l = -23. Determine j, given that 0*j - 1/2*j**y - 54 + 9/2*j**2 = 0.
-3, 6
Let u(c) be the first derivative of -c**4/20 + 83*c**3/15 + 6518. Factor u(k).
-k**2*(k - 83)/5
Let g(p) = p**3 - 27*p**2 + 29*p - 73. Let o be g(26). Let q(y) be the first derivative of 2/5*y**o + 3/2*y**4 - 3*y**2 - 4*y + 2/3*y**3 - 8. Factor q(i).
2*(i - 1)*(i + 1)**2*(i + 2)
Suppose -15 = -3*j + 3*g - 9, 2*g + 9 = 3*j. Let u(v) be the first derivative of 1/6*v**6 + 15/4*v**4 - 8/5*v**j + 8/3*v**3 + 0*v - 8*v**2 - 21. Factor u(z).
z*(z - 4)**2*(z - 1)*(z + 1)
Let w(h) be the third derivative of 0*h + 0*h**3 + 1/2*h**4 + 1 + 1/20*h**5 + 48*h**2. Let w(c) = 0. What is c?
-4, 0
Determine f, given that 9*f**4 - 36 - 273/5*f + 171/5*f**2 + 237/5*f**3 = 0.
-4, -5/3, -3/5, 1
Let b(i) be the second derivative of 1/6*i**4 + 12*i**2 + 68*i - 8/3*i**3 + 0. Suppose b(p) = 0. Calculate p.
2, 6
Determine m, given that -149*m**4 + 75*m**4 - 19*m**3 + 75*m**4 - 225*m - 45788*m**2 + 45903*m**2 = 0.
0, 5, 9
Let j(i) be the first derivative of -4/3*i**3 + 2/3*i**4 + 1/60*i**6 + 0*i - 1/6*i**5 - 15/2*i**2 - 13. Let m(u) be the second derivative of j(u). Factor m(n).
2*(n - 2)**2*(n - 1)
Let v(g) be the first derivative of -g**4/3 + 20*g**3 - 450*g**2 + 89*g - 51. Let d(q) be the first derivative of v(q). Factor d(a).
-4*(a - 15)**2
Let b(j) be the first derivative of j**4/54 + 16*j**3/27 + 5*j**2/3 - 7*j + 49. Let t(n) be the first derivative of b(n). Suppose t(q) = 0. Calculate q.
-15, -1
Suppose -425 = -11*y - 381. Suppose 4*z - y = 4*u, u + 1 = -2*z - 0*u. Factor z*s - 2/5*s**3 + 8/5*s**2 + 0.
-2*s**2*(s - 4)/5
Let b(m) be the first derivative of m**4/18 - 41*m + 9. Let q(p) be the first derivative of b(p). Factor q(r).
2*r**2/3
Let o = 281629 + -1689413/6. Factor -19/3*c - o - 1/6*c**2.
-(c + 19)**2/6
Let t(z) = -26*z**2 - 8176*z + 5596. Let w(g) = 12*g**2 + 4088*g - 2788. Let y(p) = 3*t(p) + 7*w(p). Factor y(b).
2*(b + 682)*(3*b - 2)
Let h(s) be the second derivative of -s**4/48 - 47*s**3/24 + 189*s**2/4 - 5494*s. Factor h(g).
-(g - 7)*(g + 54)/4
Let c(t) be the third derivative of -t**7/525 + 13*t**6/75 + 56*t**5/75 - 52*t**4/15 - 144*t**3/5 - 2*t**2 - 9*t - 56. Solve c(i) = 0 for i.
-2, 2, 54
Let a(u) be the first derivative of 2*u**3/3 - 81*u**2 + 1420*u - 5889. Factor a(g).
2*(g - 71)*(g - 10)
Let q be -3083*(16/(-988))/(-4). Let d = 165/13 + q. Let -4/19*h**3 + d*h + 2/19*h**4 - 2/19*h**2 + 0 = 0. Calculate h.
-1, 0, 1, 2
Suppose 14136*i - 138384/5 - 748/5*i**2 + 2/5*i**3 = 0. Calculate i.
2, 186
Suppose -c + d = -1, -31 = d - 32. Factor 30*t**2 - 8*t**c - 16*t**2 - 9*t**2 + 21*t - 18.
-3*(t - 6)*(t - 1)
Suppose -4*v + 80 = 2*l, -3*l + 74352*v - 74347*v - 89 = 0. Solve -20/9*h - 2/9*h**l + 22/9 = 0 for h.
-11, 1
Suppose -32 = -4*z - 5*f, 9 = -z - 0*z + 3*f. Suppose 2*q = z*q + 1. Let g(a) = -1. Let c(d) = -2*d**2 + 6*d - 12. Let w(b) = q*c(b) + 8*g(b). Factor w(r).
2*(r - 2)*(r - 1)
Let 4*j**5 + 18159*j + 416*j**2 - 8*j**4 - 8*j**5 - 17663*j + 192 + 108*j**3 = 0. What is j?
-4, -2, -1, 6
Let w(o) = -2345*o + 117264. Let k be w(50). Factor k*x**2 + 2/7*x**4 + 4*x**3 + 0 + 0*x.
2*x**2*(x + 7)**2/7
Let l(t) be the first derivative of 1/14*t**4 - 11/7*t**2 + 0*t + 20/21*t**3 - 47. Factor l(p).
2*p*(p - 1)*(p + 11)/7
Let h(l) be the second derivative of 9*l**5/110 - 7*l**4/22 - 14*l**3/11 + 72*l**2/11 + 16*l - 19. Factor h(o).
6*(o - 3)*(o + 2)*(3*o - 4)/11
Let q(x) be the first derivative of -2738/3*x - 102 - 74/3*x**2 - 2/9*x**3. Factor q(n).
-2*(n + 37)**2/3
Let i be 11/11*(-1 + -1). Let k be (-2)/i - -9 - 3. Determine d so that 7*d + 5*d**2 + 6*d - k*d + 9*d = 0.
-3, 0
Let v(u) be the first derivative of u**6/2 + 39*u**5/10 + 51*u**4/8 - 6*u**3 - 1656. Let v(r) = 0. Calculate r.
-4, -3, 0, 1/2
Suppose -17*d + 1233 - 1131 = 17*d. Let -7/2*i**4 + 149/2*i**2 - 54*i + 10 - 27*i**d = 0. Calculate i.
-10, 2/7, 1
Let g(w) be the first derivative of w**8/15960 - w**6/3420 + 2*w**3 + 27. Let q(v) be the third derivative of g(v).