ate n.
-16, 0
Let j(g) be the third derivative of -g**6/240 - g**5/24 + g**4/24 + 2*g**3 - 4*g**2 - 560*g. Let j(k) = 0. Calculate k.
-4, -3, 2
Suppose 600 - 9*d**2 - 108*d + 71*d + 2*d**2 - 8*d**2 + 5*d**3 - 133*d = 0. What is d?
-6, 4, 5
Let g(x) be the third derivative of -x**9/15120 - x**8/2240 - x**7/1260 + 5*x**4/12 - x**3/6 + 121*x**2. Let f(q) be the second derivative of g(q). Factor f(j).
-j**2*(j + 1)*(j + 2)
Find i, given that -252*i**2 + 1592/5*i + 4/5*i**4 - 128 + 304/5*i**3 = 0.
-80, 1, 2
Let -14601608/5*j + 5404/5*j**2 - 2/15*j**3 + 39453544816/15 = 0. Calculate j.
2702
Let u be -64 + 69 + ((-2)/1)/1. Suppose -270*m**2 - 648 + 22*m**u - 4*m**4 - 278*m**2 - 1116*m - 106*m**3 = 0. Calculate m.
-9, -2, -1
Let j be 49/(-154)*(372/(-28) + 4). Let t = j - 5/11. Factor 7/6*g**3 + 0 + 1/6*g**4 + t*g**2 + 3/2*g.
g*(g + 1)*(g + 3)**2/6
Let -49/5*r**2 + 3/5*r**3 + 0 + 16/5*r = 0. Calculate r.
0, 1/3, 16
Let q(w) be the second derivative of -w**4/42 - 12*w**3 + 253*w**2/7 - 2*w - 318. Factor q(n).
-2*(n - 1)*(n + 253)/7
Let c(z) be the second derivative of 0 + 0*z**2 - 12*z**3 - 32*z + 1/3*z**4. Factor c(t).
4*t*(t - 18)
Let w(l) be the third derivative of -l**5/140 - 1199*l**4/56 - 599*l**3/7 - 4*l**2 + l + 3. Solve w(r) = 0.
-1198, -1
Let v = 1166/7 + -87338/525. Let m(d) be the third derivative of -11/30*d**4 - 7/150*d**6 + 0 - 3*d**2 + 4/15*d**3 + 0*d + v*d**5. Suppose m(z) = 0. What is z?
2/7, 1
Factor -12*k + 160 + 63*k + 36*k + 5*k**2 - 27*k.
5*(k + 4)*(k + 8)
Let r(g) = 258*g**2 - 1986*g - 621. Let m be r(8). Factor 74/5*j**2 + 68/5*j + 22/5*j**m + 16/5.
2*(j + 1)*(j + 2)*(11*j + 4)/5
Suppose d = z + 232, -5*d + 3*z - 666 = -8*d. Let g = d + -224. What is w in -1/3*w**g + w**2 - w + 1/3 = 0?
1
Let b be (-18)/81 - 29/(-9). Let -b + 9*i**3 + 12*i**3 - 2*i**3 + 27*i + 3*i**2 - 38*i**3 - 8*i**3 = 0. What is i?
-1, 1/9, 1
Let a(x) be the third derivative of -x**8/1008 + x**7/126 + 7*x**6/45 - 29*x**5/15 + 4*x**4 + x**2 - 972. Suppose a(i) = 0. Calculate i.
-8, 0, 1, 6
Let d(y) be the second derivative of y**7/336 - 2*y**6/15 + 61*y**5/40 - 259*y**4/48 - 245*y**3/48 + 275*y**2/8 - 1751*y. Find x, given that d(x) = 0.
-1, 1, 5, 22
Let k = -151 - -171. Let g be -3 + 56/k + (-80)/(-25). Factor -13/4*a + 1/2 + 7/4*a**4 + 27/4*a**2 - 23/4*a**g.
(a - 1)**3*(7*a - 2)/4
Let s(k) = 28*k**5 - 40*k**4 - 28*k**3 + 352*k**2 + 300*k. Let m(y) = 2*y**5 + y**4 + y**2 - y. Let t(v) = 12*m(v) - s(v). Determine n so that t(n) = 0.
-2, -1, 0, 3, 13
Factor -2/3*g**2 + 238 + 232/3*g.
-2*(g - 119)*(g + 3)/3
Let z(d) be the first derivative of 2*d**5/5 - 253*d**4/2 + 32252*d**3/3 - 15372*d**2 - 63504*d - 6165. Suppose z(y) = 0. Calculate y.
-1, 2, 126
Let s be ((-12)/10)/(5 + (-135)/25). Suppose 2*h = 2*c + 8, -5*c - 5 = -h + s. What is o in 24*o - 12*o**2 + 2*o**h + 19 - 19 - 16 = 0?
2
Let o(h) be the third derivative of -h**7/630 + h**6/40 - h**5/10 - 2*h**2 + 164*h + 4. Factor o(r).
-r**2*(r - 6)*(r - 3)/3
Let c(r) = -2*r + 10. Let g be c(-7). Solve -13*u**2 - 9*u**2 + 20*u**2 - 22 - g*u = 0 for u.
-11, -1
Let v = -12157/14 - -1737/2. Find m, given that 0 + 0*m - 81/7*m**2 - 18/7*m**3 - v*m**4 = 0.
-9, 0
Suppose -18 = -5*i + 3*d - 40, -5*i - 36 = -4*d. Determine s, given that 0 + 2/11*s**5 - 336/11*s - 30/11*s**i - 228/11*s**3 - 488/11*s**2 = 0.
-2, 0, 21
Let u = 273/8 - 3887/120. Let h(w) be the second derivative of -169/5*w**2 + 0 - 1/30*w**4 + u*w**3 + 22*w. Find l such that h(l) = 0.
13
Factor -104/5*b - 192/5 + 126/5*b**3 + 1/5*b**5 + 29/5*b**4 + 28*b**2.
(b - 1)*(b + 2)**3*(b + 24)/5
Let g be ((-80)/15 + 2)/((-4)/12). Let o be (-30)/(-24)*(-4)/g*-6. Factor 23*v**2 + 6*v**o + 14*v**2 - 33*v**2 - 2*v**5.
-2*v**2*(v - 2)*(v + 1)**2
Determine o, given that 2/3*o**4 + 540*o**3 + 0*o + 0 + 109350*o**2 = 0.
-405, 0
Let o(h) be the second derivative of -h**4/6 + h**3/6 + h**2 - 109*h. Let v be o(0). Find b, given that 0*b**3 + 0*b**v + 0*b - 9/7*b**5 - 6/7*b**4 + 0 = 0.
-2/3, 0
Let -504*f + 6*f**5 - 34*f**4 - 2*f**3 + 4*f**3 + 295637 + 282*f**2 - 295421 = 0. What is f?
-3, 2/3, 2, 3
Let d(w) be the third derivative of -w**5/45 + 32*w**4/9 - 248*w**3/9 + 2*w**2 + 1348. Suppose d(l) = 0. Calculate l.
2, 62
Let c(y) be the second derivative of y**5/4 + 115*y**4/12 + 55*y**3/3 + 5*y + 183. Factor c(h).
5*h*(h + 1)*(h + 22)
Suppose 15 - 9 = 3*t. Let x be (6 + 35/(-10))*(3776 + t). Solve 2*w**2 + w - 3*w - x + 9445 = 0.
0, 1
Let s(i) be the first derivative of -i**6/9 + 44*i**5/15 - 10*i**4 + 116*i**3/9 - 19*i**2/3 + 203. Let s(b) = 0. Calculate b.
0, 1, 19
Let o(l) = -13*l**4 + 75*l**3 + 282*l**2 - 364*l + 4. Let i(k) = -2*k**4 - 2*k**2 - k + 1. Let m(n) = -4*i(n) + o(n). Factor m(f).
-5*f*(f - 18)*(f - 1)*(f + 4)
Let y = 47 + -37. Suppose -2*p = y - 18. Factor -10*m**3 + 3*m**p + 2*m**4 - 20*m**2 - 23*m + 15 + 33*m.
5*(m - 3)*(m - 1)*(m + 1)**2
Let q(u) = 6*u + 43. Let t be q(-6). Suppose t*y + 11 - 39 = 0. Determine s so that 3*s**2 - s - s**3 + y*s + s**4 - 2*s - 4*s**2 = 0.
-1, 0, 1
Let 2 + 72*i**2 + 49*i**4 - 17*i**4 + 85821*i**3 - 85737*i**3 + 4*i**5 - 2 = 0. Calculate i.
-3, -2, 0
Let b(p) be the third derivative of -16/27*p**3 + 0 - 1/1080*p**6 + 0*p**4 + 1/90*p**5 - 45*p**2 + 0*p. Solve b(z) = 0.
-2, 4
Let j(z) = -3*z**3 - 1012*z**2 - 3987*z - 2980. Let n(w) = -65*w**3 - 22265*w**2 - 87720*w - 65565. Let k(q) = -45*j(q) + 2*n(q). Find y such that k(y) = 0.
-198, -3, -1
Let x be (-4)/30 - (157004/(-780) - 2). Let g = x - 203. Factor 2/13*t**2 - 2/13*t**3 + 0 + 2/13*t - g*t**4.
-2*t*(t - 1)*(t + 1)**2/13
Find o such that 0*o**3 - 50/3*o**2 + 1/3*o**4 + 0*o + 625/3 = 0.
-5, 5
Let -1776 - 1/3*w**3 - 61/3*w**2 - 344*w = 0. Calculate w.
-37, -12
Let j(s) be the first derivative of -22*s - 1/33*s**4 - 1/110*s**5 + 10 + 0*s**2 + 1/165*s**6 + 0*s**3. Let f(h) be the first derivative of j(h). Factor f(k).
2*k**2*(k - 2)*(k + 1)/11
Let g be 9/(-3*(-17)/51). Let l(r) be the first derivative of -12/7*r - 9/14*r**2 + 1/7*r**3 - g. Determine i so that l(i) = 0.
-1, 4
Let a(o) be the first derivative of -5*o**3/3 - 65*o**2 - 525*o + 879. Factor a(p).
-5*(p + 5)*(p + 21)
Let j(o) be the first derivative of -o**6/3 - 4*o**5 + 33*o**4/2 + 60*o**3 - 216*o**2 - 11873. Determine f so that j(f) = 0.
-12, -3, 0, 2, 3
Suppose 324*y - 323*y - 28 = 2*s, 5*s + 69 = 2*y. Find j, given that 18*j**y - 432/5*j + 6/5*j**3 + 456/5 = 0.
-19, 2
Find j such that 74/15*j**2 + 2/15*j**4 + 84/5 + 86/15*j**3 - 138/5*j = 0.
-42, -3, 1
Let -2/3*l**4 - 64/3*l**2 - 28/3*l**3 + 0 + 256/3*l = 0. What is l?
-8, 0, 2
Factor 5/3*o**2 - 280 - 65/3*o.
5*(o - 21)*(o + 8)/3
Let l(p) be the first derivative of 1/4*p**4 + 0*p**2 + 2/3*p**3 - 7 + 0*p. Factor l(y).
y**2*(y + 2)
Let y(q) be the third derivative of q**5/390 + 93*q**4/52 - 280*q**3/39 - 849*q**2 - 2*q. Find a such that y(a) = 0.
-280, 1
Let x be (136/(-140) - (-11)/(-385))*6/(-14). Factor 4/7*v + 0 - 1/7*v**3 - x*v**2.
-v*(v - 1)*(v + 4)/7
Let h be (-288 + 59 - -230)/((-2)/(-4)*2*2). What is w in -70*w + 147/2 + 6*w**3 - h*w**4 - 9*w**2 = 0?
-3, 1, 7
Let b(r) be the third derivative of r**5/570 + 3*r**4/76 + 6*r**3/19 + 4639*r**2. Find s such that b(s) = 0.
-6, -3
Let g(j) be the third derivative of 13*j**5/90 + 7*j**4/36 - 2*j**3/3 - 1104*j**2. Factor g(v).
2*(v + 1)*(13*v - 6)/3
Let p be 7 - ((-15130)/275)/1 - -1. Let t = p - 311/5. Determine q, given that 16/11 + 24/11*q + t*q**2 + 1/11*q**3 = 0.
-4, -1
Let u(b) be the second derivative of -b**7/525 - b**6/300 + b**5/30 - b**4/20 - 15*b**2 + 18*b + 1. Let c(d) be the first derivative of u(d). Factor c(m).
-2*m*(m - 1)**2*(m + 3)/5
Suppose 5*q + 10 = 0, -2*b - 512 = -b - 5*q. Let c = b - -1568/3. Suppose 8*z + 4*z**2 + c*z**3 + 16/3 = 0. Calculate z.
-2
Let h(m) be the second derivative of -10*m - 3/2*m**2 - 1/12*m**4 - 4 - 2/3*m**3. Factor h(z).
-(z + 1)*(z + 3)
Let n(j) be the second derivative of -j**5/10 + 109*j**4/6 + 7*j - 14. Factor n(p).
-2*p**2*(p - 109)
Let v(y) be the second derivative of -4*y - 35/12*y**4 + 80*y**2 - 3 + 275/3*y**3. Factor v(b).
-5*(b - 16)*(7*b + 2)
Let l be 1/(1 - 304/312). Determine o, given that 180*o - 442 + l + 64*o**2 - 245 - 2706*o**3 + 2710*o**3 = 0.
-9, 2
Let b = 57/572 + 211187/572. Let x = b - 369. Factor 2/13*a**2 + 0*a - 6/13*a**3 + x*a**4 + 0.
2*a**2