**5 - 5/4*t**6 - 1/168*t**8 + 12*t**3 - 10*t**4. Solve o(f) = 0.
1, 6
Let u(t) be the third derivative of 7*t**6/240 - 257*t**5/120 - 85*t**4/12 - 19*t**3/3 - 45*t**2. Determine k, given that u(k) = 0.
-1, -2/7, 38
Let j(g) be the second derivative of -g**5/75 - 38*g**4/15 - 2888*g**3/15 + 20*g**2 + 59*g. Let b(v) be the first derivative of j(v). Let b(u) = 0. Calculate u.
-38
Suppose 2*u + 2*u = 3*b, 16 = 4*b. Factor -9*g**u - 4*g**2 + 23*g**5 - 14*g**5 + 9*g**4 + 7*g**2 - 12*g**5.
-3*g**2*(g - 1)**3
Let m(x) be the first derivative of x**6/180 - x**5/270 - x**4/54 - 2*x**2 - 2*x - 172. Let o(z) be the second derivative of m(z). Suppose o(l) = 0. What is l?
-2/3, 0, 1
Let f be (0 - (-16 + (-645)/(-30))) + 81/14. Suppose 0*v - f*v**5 + 76/7*v**2 + 2/7*v**3 - 64/7 - 12/7*v**4 = 0. What is v?
-4, -1, 1, 2
Let y = -911 + 983. Let u be (-69)/(-198) - y/432. Solve 8/11 + u*o**2 + 8/11*o = 0.
-2
Find p such that 27*p - 3*p**3 + 520*p**2 - 520*p**2 = 0.
-3, 0, 3
Let n(f) be the first derivative of -2*f**6/21 + 12*f**5/7 - 60*f**4/7 + 80*f**3/21 + 192*f**2/7 + 501. Let n(r) = 0. Calculate r.
-1, 0, 2, 6, 8
Let s(v) be the first derivative of v**6/6 + 9*v**5/5 + 29*v**4/4 + 13*v**3 + 9*v**2 - 1637. Factor s(n).
n*(n + 1)*(n + 2)*(n + 3)**2
Let k(i) be the second derivative of -i**7/15120 - i**6/2160 + i**5/240 - 22*i**4/3 + i + 11. Let p(q) be the third derivative of k(q). Factor p(d).
-(d - 1)*(d + 3)/6
Let k(c) be the second derivative of c**4/6 - 101*c**3 + 302*c**2 + 4*c + 240. Solve k(u) = 0.
1, 302
Let w be (-258 + 10 + -6)/(-1). Suppose -w*a**3 + 38*a**2 - 7 - 177*a**4 + 85*a + 2 - 36*a**5 + 0 - 16 + 45*a**5 = 0. What is a?
-1, 1/3, 21
Let u = -1 + 7. Let r be (4/(-8)*1)/(-1)*u. Factor 4*g**3 - 28*g**2 + 60*g - 21 - 1 - 11 - r.
4*(g - 3)**2*(g - 1)
Suppose -11*h = 10 - 32. Factor 4092*c**3 - 4029*c**3 + 2 + 72*c + 10 + 123*c**h.
3*(c + 1)*(3*c + 2)*(7*c + 2)
Let t be ((-160)/(-144))/((-450)/(-486)). Determine a, given that -t*a - 1 - 1/5*a**2 = 0.
-5, -1
Let d(s) be the third derivative of -8*s**7/525 - 379*s**6/150 - 8737*s**5/75 + 1904*s**4/5 - 1536*s**3/5 + 5859*s**2. Suppose d(x) = 0. What is x?
-48, 1/4, 1
Let p(y) be the first derivative of 0*y + 4/5*y**3 - 1/20*y**4 + 93 - 18/5*y**2. Factor p(o).
-o*(o - 6)**2/5
Factor -99225 - 365/2*v**2 - 32445/4*v - 5/4*v**3.
-5*(v + 20)*(v + 63)**2/4
Factor -1535/2 + 4607/4*h - 3/4*h**2.
-(h - 1535)*(3*h - 2)/4
Let w = 270076993/1442859 - 2/131169. Let x = w + -187. Factor 10/11*d**2 + 8/11*d + x + 4/11*d**3.
2*(d + 1)**2*(2*d + 1)/11
Suppose 2*t = 3*u - 4, -2*u - 19 = -0*u + 3*t. Let r be -4 - (u - (25 - 5)). Factor i**2 - 31 + 2*i + 13 + r.
i*(i + 2)
Let p = -1144 + 2244. Let k be (p/(-80) + 13)*(-8)/10. Factor 0*q**2 + 3/5*q**3 + 0*q - k*q**4 + 0.
-3*q**3*(q - 1)/5
Suppose -983 = 42*t + 4603. Let s be 2/19 - ((-147)/t - 1). Factor s*o**2 - 2/3*o**3 + 1/3*o**4 - 1/3 + 2/3*o.
(o - 1)**3*(o + 1)/3
Let h = -15652 - -15655. Let y(t) be the first derivative of -25/18*t**4 + 130/27*t**h - 56/9*t**2 + 32/9*t - 21. Factor y(i).
-2*(i - 1)*(5*i - 4)**2/9
Suppose -2/7*l**3 - 162/7*l + 88/7*l**2 - 36 = 0. Calculate l.
-1, 3, 42
Let h(c) be the second derivative of c**4/9 - 106*c**3/3 - 320*c**2/3 - 16*c - 6. Determine w so that h(w) = 0.
-1, 160
Let p(g) = g - 16. Suppose 2*c - 40 = u, -5*c + 82 = -8*u + 10*u. Let w be p(c). Suppose -2*m**2 + 3*m**w + 8*m + m**2 - 4*m**2 = 0. What is m?
0, 4
Factor 30240*d + 1704*d**2 + 40*d**3 + 190512 + 1/3*d**4.
(d + 18)**2*(d + 42)**2/3
Let q = 344918 - 2414406/7. What is h in 2/7*h**2 + 50/7 + q*h = 0?
-5
Solve 0*y + 25/9*y**3 - 1/3*y**5 + 0 + 0*y**2 - 74/9*y**4 = 0.
-25, 0, 1/3
Let t = 101482/5313 - -412/1771. Find z such that 841/3 + 1/3*z**2 - t*z = 0.
29
Let r(q) be the third derivative of 0 - 121/360*q**6 - 39/20*q**5 - 3/140*q**7 + 27/16*q**4 - 73*q**2 + 0*q - 1/2016*q**8 + 81/4*q**3. Factor r(t).
-(t - 1)*(t + 1)*(t + 9)**3/6
Let o be (1*(-6)/7)/(39/(-182)). Let n be (((-5)/o)/1)/((-80)/96). Factor 0 + 3/4*w**2 + 3/4*w**3 - n*w.
3*w*(w - 1)*(w + 2)/4
Let t(m) be the first derivative of m**4/30 - 7*m**3/15 - 8*m**2/5 - 58*m - 25. Let p(k) be the first derivative of t(k). Factor p(s).
2*(s - 8)*(s + 1)/5
Factor 1006/5*k**2 - 2/5*k**3 - 127006/5*k + 126002/5.
-2*(k - 251)**2*(k - 1)/5
Let k = 439 + -93. Let n = -344 + k. Let -6/5 + 1/5*b**n + 11/10*b - 1/10*b**3 = 0. What is b?
-3, 1, 4
Let y be 162/(-216)*(-76)/18 - ((-16)/(-6))/4. Factor 3/2*u + 9/2 - y*u**2 + 1/2*u**3.
(u - 3)**2*(u + 1)/2
Let d(i) be the first derivative of 11*i**5/20 + 17*i**4/4 + 37*i**3/4 + 9*i**2/4 + 657. What is q in d(q) = 0?
-3, -2/11, 0
Suppose 3*t = t + 5*s + 14, 16874*s - 16878*s = 8. Factor -2*b + 6/5 - 4/5*b**t.
-2*(b + 3)*(2*b - 1)/5
Suppose 11*p - 13*p + 6 = 0. Suppose 0 - p = -m. What is z in -2 - m - 60*z**2 - 4*z + 61*z**2 = 0?
-1, 5
Let o = 9 + -6. Let g be (1 + -1)/(6 + o + -8). Suppose g*n + 3*n + 6*n**2 + n - 13*n**3 + 3*n**3 = 0. What is n?
-2/5, 0, 1
Let b(k) = -12*k + 27. Let j be b(2). Factor -2*i - 178*i**2 + 168*i**2 + 2*i**j + 10*i.
2*i*(i - 4)*(i - 1)
Let d(y) be the third derivative of -y**6/720 + y**4/48 - y**3/18 - 669*y**2. Let d(a) = 0. What is a?
-2, 1
Let t(d) be the first derivative of -4/3*d**3 + 48*d - 2*d**2 + 13. Factor t(h).
-4*(h - 3)*(h + 4)
Let i(g) = -g**3 - 19*g**2 - 33*g - 60. Let x be i(-21). Suppose -18*u**2 - 26*u**2 - 1443*u + 4*u**3 + x*u = 0. What is u?
0, 2, 9
Let z(b) be the first derivative of -b**3 + 489*b**2/2 + 1494*b + 7243. Determine s, given that z(s) = 0.
-3, 166
Let u(w) be the first derivative of -2*w**3/39 - 105*w**2/13 - 16*w - 832. Determine x, given that u(x) = 0.
-104, -1
Let y(u) be the first derivative of -u**6/24 + 9*u**5/20 - 15*u**4/16 + 7*u**3/12 - 531. Factor y(w).
-w**2*(w - 7)*(w - 1)**2/4
Let b(x) be the third derivative of 166698*x**4 + 7938/5*x**5 + 42/5*x**6 + 36*x**2 + 0 + 10501974*x**3 + 2/105*x**7 - x. Solve b(a) = 0 for a.
-63
Let x(u) be the second derivative of u**9/30240 + u**8/16800 - u**7/4200 + 9*u**3/2 + 94*u. Let f(n) be the second derivative of x(n). Solve f(r) = 0 for r.
-2, 0, 1
Let v(y) be the third derivative of -4*y**3 + 1/180*y**6 + 0*y - 13/90*y**5 + 4/3*y**4 - 20*y**2 + 0. Let v(k) = 0. Calculate k.
1, 6
Let c(w) be the third derivative of -w**6/40 - 3*w**5/4 - 31*w**4/4 - 24*w**3 + 89*w**2 - 11*w. Let c(r) = 0. What is r?
-8, -6, -1
Let i(p) be the first derivative of 147 + 3/10*p**2 - 4/15*p**3 + 0*p + 1/20*p**4. Factor i(v).
v*(v - 3)*(v - 1)/5
Let i be ((-10)/5 - -2)/(2 + -8). Let y be i*((-8)/2 - -5). Factor 8/19*k**3 + y - 22/19*k**2 + 2/19*k**4 + 12/19*k.
2*k*(k - 1)**2*(k + 6)/19
Determine z, given that 3/8*z**5 - 9/4*z**3 + 33/4*z**2 + 45/8 + 111/8*z - 15/8*z**4 = 0.
-1, 3, 5
Suppose 2*o = -12 + 20. Let v be (3 + -3)/(o/(-2)). Suppose v + 2/9*u**2 - 2/9*u = 0. Calculate u.
0, 1
Let f(w) = -2160*w - 58320. Let b be f(-27). Determine l so that 0 - l**2 + b*l + 3/2*l**3 = 0.
0, 2/3
Let q(r) be the third derivative of -r**8/168 + 31*r**6/15 - 424*r**5/15 + 176*r**4 - 1792*r**3/3 + 1730*r**2. Let q(o) = 0. What is o?
-14, 2, 4
Let -16/7*u**3 + 8/7*u**5 - 2/7*u**4 + 4/7*u**2 + 8/7*u - 2/7 = 0. What is u?
-1, 1/4, 1
Let g be (22 - 9) + (1 - 27/3). Let f(s) be the second derivative of -1/4*s**g + 0 + 0*s**4 + 5/6*s**3 + 3*s + 0*s**2. Factor f(h).
-5*h*(h - 1)*(h + 1)
Factor -206/3*f**2 - 31/3*f**4 - 35/3 - 134/3*f**3 + 1/3*f**5 - 139/3*f.
(f - 35)*(f + 1)**4/3
Suppose -8*u + 8 = -6*u. Suppose 5*k + 0*c + 4*c - 17 = 0, -u*k + 24 = -2*c. Factor -15*s**2 - k*s - 4 - 7*s**3 - s - 6*s - s**4 - s.
-(s + 1)**3*(s + 4)
Suppose 0 = -189*l + 186*l. Suppose -2*s - 3*v = 12, -61*v = -s - 63*v - 9. Factor l*y - 8/3*y**2 - 1/3*y**s + 0.
-y**2*(y + 8)/3
Suppose -36*f + 34*f = -3*c + 17, -4*f = -3*c + 25. Let l(y) be the first derivative of y**3 + 0*y - 3/4*y**4 + c*y**2 + 2. Suppose l(t) = 0. Calculate t.
-1, 0, 2
Let w be 4088/(-70) - 3/5. Let d = w + 64. Solve -t**3 + 8*t**4 + 11*t**4 - 36*t + 8 + 64*t**2 + 5*t**4 - 4*t**d - 55*t**3 = 0 for t.
1, 2
Let w be ((-845)/65 - 989/(-75))*5. Factor -2*v + 6/5 + w*v**2 - 2/15*v**3.
-2*(v - 3)**2*(v - 1)/15
Factor 196/5 + 14/5*a - 2/5*a**2.
-2*(a - 14)*(a + 7)/5
Let k(t) be the third derivative of t**6/1260 - t**5/60 + 83*t**3/3 - 134*t**2. Let r(q) be the firs