third derivative of -1/6*d**6 + 2/15*d**5 + 0*d**3 + 0*d**4 - 1/84*d**8 + 0*d + 8/105*d**7 - 12*d**2 - 1. Factor a(r).
-4*r**2*(r - 2)*(r - 1)**2
Let q = 10828 + -10826. Let g(m) be the third derivative of -3/20*m**5 + 0*m**3 + 22*m**q + 0 + 0*m - 1/10*m**4 + 1/50*m**6. Factor g(k).
3*k*(k - 4)*(4*k + 1)/5
Let v be (-4)/96*(-136 + 139) + (-197)/(-40). Factor v*x - 4/5*x**2 + 0.
-4*x*(x - 6)/5
Let v be ((-51)/18)/((-19448)/(-396) + -51). What is o in 1/2*o**3 - v*o**2 + 0 + o = 0?
0, 1, 2
Let w(a) be the third derivative of a**11/831600 - 8*a**5/5 - 95*a**2. Let z(n) be the third derivative of w(n). Let z(h) = 0. Calculate h.
0
Let y(s) be the second derivative of -s**5/5 + 201*s**4 - 9133*s. Solve y(t) = 0 for t.
0, 603
Let f be (((-16576)/(-480))/(-74))/(7/(-18)). Solve 16/5*b**2 - f*b + 0*b**4 + 2/5*b**5 - 12/5*b**3 + 0 = 0.
-3, 0, 1
Let g = 88/29 + -40597/13369. Let b = g + 927/2305. Factor 0 + 0*i - 2/5*i**4 - b*i**2 + 4/5*i**3.
-2*i**2*(i - 1)**2/5
Let u = -525 - -601. Let d be 19/u*(0 + 1). Solve 1/8*y**5 + 0 + 0*y**2 + 1/8*y - d*y**3 + 0*y**4 = 0 for y.
-1, 0, 1
Let c be 104*(-374)/(-1224) - 4/(-18). Factor 3456/7*w + 1440/7*w**2 + 12/7*w**4 + 1728/7 + c*w**3.
4*(w + 6)**3*(3*w + 2)/7
Let l(r) be the third derivative of r**5/120 - r**4/16 - 65*r**3/6 - 2890*r**2. Determine z so that l(z) = 0.
-10, 13
Suppose 2*y = -5*j + 49, 3*j - 30 = y - 5. Determine q so that 16/5*q**y + 6/5*q**3 + 4/5 + 14/5*q = 0.
-1, -2/3
Suppose 15*f + 6053 = 6113. Factor -3/5*q + 9/5*q**2 + 3/5*q**f + 0 - 9/5*q**3.
3*q*(q - 1)**3/5
Let -4/7*v**5 + 0 + 120/7*v**2 - 52/7*v**3 - 64/7*v**4 + 0*v = 0. Calculate v.
-15, -2, 0, 1
Let j(t) be the second derivative of -5*t**4/12 - 50*t**3/3 + 240*t**2 + 1464*t. Factor j(g).
-5*(g - 4)*(g + 24)
Determine s so that -5039*s + 111*s**2 + 3*s**3 - 5262*s - 6*s**3 + 9275*s = 0.
0, 18, 19
Let l(m) = m**2 - 17*m + 47. Let h be l(14). Let p(q) = q - 1. Let c(k) = 5*k**2 + 55*k + 120. Let g(t) = h*p(t) - c(t). Factor g(y).
-5*(y + 5)**2
Let i = 25 + -111. Let s = 88 + i. Factor 11*l**2 - s*l - 8*l**3 - 8*l**3 + 8*l**4 + 0*l**2 - l**4.
l*(l - 1)**2*(7*l - 2)
Let v = 236 - -64. Factor -8 - v*p - 14 + 10 - 1875*p**2.
-3*(25*p + 2)**2
Let b(g) be the first derivative of 1120/19*g**3 + 18/95*g**5 - 24 - 2048/19*g - 4224/19*g**2 - 107/19*g**4. Determine m so that b(m) = 0.
-2/9, 8
Let m be ((-3029)/5592)/((-1)/6). Factor m*s + 15/4*s**2 + 1/2.
(3*s + 2)*(5*s + 1)/4
Let i(a) be the third derivative of -a**5/30 + a**4/24 + 2*a**2 + 62*a. Let x(f) = 9*f**2 - 4*f + 12. Let y(s) = -15*i(s) - 3*x(s). What is z in y(z) = 0?
-3, 4
Let k be (-1 - -1 - 1)/((-8)/16). Suppose -160*y - k = -161*y. Let 243/2 + 3/2*u**y - 27*u = 0. What is u?
9
Let u(v) be the third derivative of v**7/840 - 7*v**6/240 + 29*v**5/240 + 13*v**4/12 + 5*v**3/2 - 735*v**2. Factor u(b).
(b - 10)*(b - 6)*(b + 1)**2/4
Let v be (-6 + (-27)/(-6))*(-4 - -2). Factor -5*i**4 + 12*i**2 + 5*i**v - 5*i + 2*i**2 + i**2 + 0*i**2 - 10.
-5*(i - 2)*(i - 1)*(i + 1)**2
Let n(l) be the first derivative of -3*l**5/35 + 15*l**4/28 + 4*l**3/7 - 66*l**2/7 + 144*l/7 - 1118. Determine v so that n(v) = 0.
-3, 2, 4
Let a(w) be the second derivative of -w**5/160 + 23*w**4/12 - 529*w**3/3 + 5*w + 125. Factor a(u).
-u*(u - 92)**2/8
Let n(x) = x - 1. Let r be n(4). Factor -f**r + 2*f**3 + 9*f**3 - 50*f**2 - 15*f**3.
-5*f**2*(f + 10)
Solve -212/3*o**2 + 0 + 1/9*o**4 - 209/9*o**3 + 0*o = 0.
-3, 0, 212
Factor -368 + 800*j - 4*j**4 - 492*j**2 + 17*j**3 + 96*j**3 - j**3 - 48*j.
-4*(j - 23)*(j - 2)**2*(j - 1)
Let u(s) be the first derivative of s**3/15 - 33*s**2/10 - 34*s/5 + 314. Find k such that u(k) = 0.
-1, 34
Let r = -378 - -1897/5. Let g be (-6)/(-18)*(-48)/(-20). Factor -19/5*w**3 - r*w**4 - g - 1/5*w**5 - 5*w**2 - 16/5*w.
-(w + 1)**3*(w + 2)**2/5
Let h(k) = k**3 + 18*k**2 - 38*k + 44. Let p be h(-20). Let j be 374/408 + (-3)/p. Solve -j*c + 0 - 1/6*c**2 = 0.
-1, 0
Let j = 2183/395 - 27/5. Let v = j - -59/158. Factor 0 - 5/2*k**4 - v*k**5 + 0*k - 4*k**3 - 2*k**2.
-k**2*(k + 1)*(k + 2)**2/2
Suppose -5*m - 16 = 25*j - 29*j, -j + 3*m + 4 = 0. Determine z so that -1/4*z**5 + 1 + 1/4*z**3 - 7/4*z**2 + 0*z + 3/4*z**j = 0.
-1, 1, 2
Let u = 98815/43939 + 231/6277. Factor -6/7*s + 1/7*s**2 - u.
(s - 8)*(s + 2)/7
Let m = 332 - 276. Solve -86*b**5 - 244*b**3 + 102*b**2 + m*b**4 + 234*b**2 - 144*b - 91*b**5 + 173*b**5 = 0.
0, 1, 6
Let j be (-198)/220*12/(-9). Suppose 3*r = -g - 9, r + 7 = g - 0*r. Factor -3/5 + 0*d**2 + 3/5*d**4 - 6/5*d**g + j*d.
3*(d - 1)**3*(d + 1)/5
Let s be 415/45 + -9 - (-5252)/18. Let d = s + -583/2. Determine i so that -i**3 + d*i**5 + 0*i**2 + 0 + 0*i + 1/2*i**4 = 0.
-2, 0, 1
Let u(m) be the second derivative of m**4/3 - 22*m**3/3 - 160*m**2 + 236*m. Solve u(v) = 0.
-5, 16
Let b(c) = c**2 - c - 22. Let z be b(7). Suppose 2*t + 3*t - 5*h = 30, z = -5*h. Find a, given that 4/9*a**4 - 10/9*a - 14/9*a**3 + t*a**2 + 2/9 = 0.
1/2, 1
Let b(i) be the second derivative of 7*i**6/120 + 59*i**5/80 - 193*i**4/48 + 61*i**3/24 + 33*i**2/4 - i - 923. Determine r, given that b(r) = 0.
-11, -3/7, 1, 2
Let u(j) = -4*j + 54. Let r = -55 + 65. Let g be u(r). Factor 5*m**3 - 6*m**2 - m**3 - g*m**2 + 4*m**4 + 12*m + 0*m**3.
4*m*(m - 1)**2*(m + 3)
Determine y, given that 141/2*y - 225/2 + 3/2*y**3 + 81/2*y**2 = 0.
-25, -3, 1
Let g(s) be the third derivative of -5*s**8/336 - 17*s**7/42 + s**6 + 84*s**5 - 29*s**2 - 3*s. What is h in g(h) = 0?
-12, 0, 7
Let d(a) be the third derivative of 0*a**4 + 1/175*a**7 + 0*a + 0 + 0*a**3 - 1/840*a**8 - 11*a**2 + 0*a**5 + 1/30*a**6. Factor d(l).
-2*l**3*(l - 5)*(l + 2)/5
Let l(h) be the first derivative of -h**7/2100 - h**6/900 + h**5/150 + 19*h**3 - 18. Let a(y) be the third derivative of l(y). Factor a(o).
-2*o*(o - 1)*(o + 2)/5
Let y = -2/8773 + 9053/1228220. Let b(p) be the third derivative of 18*p**2 - 1/105*p**5 - 1/735*p**7 + 0*p**4 + 0*p + 0*p**3 - y*p**6 + 0. Factor b(q).
-2*q**2*(q + 1)*(q + 2)/7
Let g = 186 - 176. Suppose 6*t - 7*t - 2 = m, 4*t + g = -5*m. Factor 4/5*w - 2/5*w**3 + 2/5*w**2 + t.
-2*w*(w - 2)*(w + 1)/5
Let z(u) be the third derivative of -5*u**8/504 - 13*u**7/315 + 7*u**6/45 + 711*u**2 + 1. What is f in z(f) = 0?
-4, 0, 7/5
Let f(x) be the third derivative of x**5/30 + 1307*x**4/6 + 1708249*x**3/3 + 4036*x**2. Determine a, given that f(a) = 0.
-1307
Determine j, given that -133/2*j**3 + 3/2*j**4 + 917/2*j - 547/2*j**2 - 120 = 0.
-5, 1/3, 1, 48
Let k(x) be the third derivative of x**5/180 + 791*x**4/12 + 625681*x**3/2 - 13*x**2. Factor k(s).
(s + 2373)**2/3
Let t(r) be the third derivative of 2/5*r**6 + 28*r**2 - 9/5*r**5 + 0*r**3 + 2/105*r**7 + r + 7/3*r**4 + 0. Suppose t(n) = 0. Calculate n.
-14, 0, 1
Suppose -64*a + 198 = -250. Let x(d) be the third derivative of -1/50*d**6 - 15*d**2 + 0*d + 1/350*d**a + 3/100*d**5 + 0*d**3 + 0*d**4 + 0. Factor x(p).
3*p**2*(p - 3)*(p - 1)/5
Let z(b) be the second derivative of b**5/10 + 3*b**4 + 59*b**3/3 - 78*b**2 + 2*b + 208. Factor z(l).
2*(l - 1)*(l + 6)*(l + 13)
Factor -2155*r - 2079*r + 683*r + 329*r - r**2 - 2595321.
-(r + 1611)**2
Let c(k) be the first derivative of k**5/110 + 20*k**4/33 - 9*k**3/11 - k**2/2 + 11*k - 76. Let y(i) be the second derivative of c(i). Factor y(a).
2*(a + 27)*(3*a - 1)/11
Let a be 6/(-21)*28/18*10161/(-2258). What is d in -3/4*d**a + 0 - 117/4*d = 0?
-39, 0
Let o be (21/(-27) - -1 - (-429)/(-594))*0. Let 0 - 1/2*l**3 - 1/2*l**2 + o*l = 0. Calculate l.
-1, 0
Let p = 170773 + -170770. Factor -3/2*v**p - 3*v + 13/4*v**2 + 1/4*v**4 + 1.
(v - 2)**2*(v - 1)**2/4
Let f(o) be the third derivative of -49*o**6/360 - 119*o**5/180 + 10*o**4/9 - 2*o**3/3 - 1981*o**2. Determine y, given that f(y) = 0.
-3, 2/7
Let h = 3908/7 - 560. Let p = 50/21 + h. Solve -2/9*c**3 - 10/9*c**2 + 2/9*c**4 - p*c + 0 = 0 for c.
-1, 0, 3
Let r(k) be the second derivative of -7/3*k**4 - 17 - 72*k**2 - 256/3*k**3 - k. Solve r(u) = 0.
-18, -2/7
Let i(u) be the second derivative of -14/25*u**6 - 52/5*u**3 - 43*u - 203/50*u**5 + 0 - 46/5*u**4 - 32/5*u**2 + 3/35*u**7. Find h, given that i(h) = 0.
-1, -2/3, 8
Let a be 170625/45500 - (-4)/((-32)/30). Factor a + 1/2*h**2 + h.
h*(h + 2)/2
Let z = -181 - -187. Determine i so that 5554*i + z*i**2 + 3*i**3 - 5554*i = 0.
-2, 0
Suppose -5*i = -5*o - 35, -12*o + 9*o + 29 = 2