the third derivative of 0 + 5*g**3 - 23/20*g**6 + 1/5*g**7 + 0*g + 145*g**2 - 41/8*g**4 - 1/112*g**8 + 16/5*g**5. Find z such that c(z) = 0.
1, 10
Let t be (-3)/(-9) - (680302/(-378))/(8/24). Factor 2/9*m**5 - 15842/9 - 362/9*m**4 - t*m**2 + 47882/9*m + 16916/9*m**3.
2*(m - 89)**2*(m - 1)**3/9
Find l, given that 2/9*l**5 - 4000*l**2 - 250/9*l**4 + 2800/3*l**3 + 0 + 0*l = 0.
0, 5, 60
Let k(l) be the first derivative of l**4/30 + 134*l**3/45 + 131*l**2/15 + 26*l/3 - 4082. Solve k(h) = 0 for h.
-65, -1
Suppose -255*z + 67*z + 23 = 23. Determine v, given that 4/7*v - 2/7*v**4 - 1/7*v**5 + z + 8/7*v**2 + 3/7*v**3 = 0.
-2, -1, 0, 2
Let c be 9/(-2)*(0 - 168/(-18)). Let b be c/54*18/(-105). What is m in -2/15 - b*m**3 - 2/5*m**2 - 2/5*m = 0?
-1
Suppose 21*p + 17*p + 52*p - 180 = 0. Let n(c) be the first derivative of -5*c**p + 2*c**3 - 2/5*c**5 - 12 + 1/2*c**4 + 4*c. Factor n(j).
-2*(j - 1)**3*(j + 2)
Let k be (1/((-1360)/(-288)))/(7/840). Determine o so that -222/17*o + 32/17*o**3 + 28/17 + k*o**2 = 0.
-14, 1/4
Suppose 6*s - 13*s + 57*s - 1900 = 0. Let p(u) be the first derivative of -1/26*u**4 - 2/39*u**3 + 1/13*u**2 + s + 2/13*u. Solve p(o) = 0 for o.
-1, 1
Let p(k) = 2522*k - 30231. Let b be p(12). Suppose -b*t - 1/2*t**2 - 1089/2 = 0. Calculate t.
-33
Let x(y) be the third derivative of 0*y**3 - 5/32*y**4 + 0 - 1/240*y**5 - 33*y + 2*y**2. Factor x(j).
-j*(j + 15)/4
Suppose 4*n - 39*i - 482 = -37*i, -2*i - 601 = -5*n. Let x = -116 + n. Factor 1/5*h**x + 3/5*h**2 + 0*h - 4/5.
(h - 1)*(h + 2)**2/5
Factor -125/6*f + 61 + 1/6*f**2.
(f - 122)*(f - 3)/6
Let b(x) = 6*x**5 - 3*x**4 - 12*x**3 - 9*x**2 + 15*x + 6. Let r(p) = 17*p**5 - 8*p**4 - 36*p**3 - 26*p**2 + 43*p + 18. Let h(c) = -8*b(c) + 3*r(c). Factor h(v).
3*(v - 2)*(v - 1)*(v + 1)**3
Let a = -22165 + 22165. Let f(r) be the third derivative of 0*r**5 + 23*r**2 + 0*r**4 + 0 - 1/300*r**6 - 1/525*r**7 + a*r**3 + 0*r. What is y in f(y) = 0?
-1, 0
Let s(m) be the first derivative of 3/8*m**6 + 5/24*m**4 - 23 + 0*m + 1/2*m**5 + 17/2*m**2 + 0*m**3. Let z(v) be the second derivative of s(v). Factor z(u).
5*u*(3*u + 1)**2
Let l(y) be the first derivative of -4*y**3/9 - 448*y**2 - 150528*y - 54. Factor l(t).
-4*(t + 336)**2/3
Let j(z) be the third derivative of 0*z**3 - 60*z**2 + 1/480*z**6 + 0 + 0*z**4 + 0*z - 9/80*z**5. Factor j(o).
o**2*(o - 27)/4
Factor 10*a**4 - 80*a**2 + 5*a**5 + 0*a**5 - 20*a**3 + 3859 + 10*a**4 - 3859.
5*a**2*(a - 2)*(a + 2)*(a + 4)
Let n = -424937/3 - -141650. Factor 0 + 1/3*z**3 + 14/3*z**2 + n*z.
z*(z + 1)*(z + 13)/3
Let v(s) be the first derivative of 26*s**2 + 38*s**2 - 675*s - 34 - 19*s**2 - s**3. Let v(r) = 0. What is r?
15
Let a(j) be the third derivative of -3/20*j**5 - 1/70*j**7 + 0*j + 0*j**3 + 43*j**2 + 0 - 3/40*j**6 - 1/8*j**4. Factor a(p).
-3*p*(p + 1)**3
Determine p so that 8/11 + 450/11*p**2 - 120/11*p = 0.
2/15
Let u = -485 + 488. Suppose -u*q - 7 + 9 = z, 3*q + 10 = 5*z. Let 2/7*g + 6/7*g**3 + 10/7*g**z - 2/7 = 0. Calculate g.
-1, 1/3
Let t be -5*(-4 + 3*(-52)/(-60)). Suppose -4*m + 5*p + 41 = 0, -p = 3*m - 1 - 6. Solve -t*i**2 + m*i**2 + 9*i - 6*i + 9*i = 0.
0, 4
Let f be (-1)/5 + (-7)/140*-244. Suppose 5*i - 5 = 5*o, -2*i - f*o + 15*o + 3 = 0. Let 0 + i*y**3 + 1/4*y**2 - 1/4*y**4 + 0*y = 0. What is y?
-1, 0, 1
Find i such that 46*i**2 - 82*i**2 + 2280100 + 37*i**2 - 3020*i = 0.
1510
Let d = -182 + 805. Let b = d + -619. Let 4/5*k**2 - 1/5*k**b + 0 - 1/5*k**3 + 4/5*k = 0. Calculate k.
-2, -1, 0, 2
Let c(o) be the first derivative of 3*o**5/5 - 387*o**4/4 + 505*o**3 - 1881*o**2/2 + 750*o + 648. Factor c(p).
3*(p - 125)*(p - 2)*(p - 1)**2
Let y be (6/18)/((-3)/(-18)). Factor -5*q**3 + 36*q**2 - 581*q + y*q**3 + 54 + 494*q.
-3*(q - 9)*(q - 2)*(q - 1)
Suppose 66*u = -8*u. Let a(i) be the second derivative of -4/105*i**7 + u*i**2 - 2*i + 0 + 2/15*i**6 + 1/15*i**4 + 0*i**3 - 4/25*i**5. Let a(w) = 0. What is w?
0, 1/2, 1
Let z(x) be the second derivative of -x**7/294 - 2*x**6/35 + 29*x**5/140 + x**4/7 - 2*x**3/3 + 159*x - 1. Suppose z(r) = 0. Calculate r.
-14, -1, 0, 1, 2
Let j(n) = -n**3 + 10*n**2 - 156*n + 1562. Let d be j(10). Factor 0*x + 2/9*x**d - 2/9*x**3 + 0.
-2*x**2*(x - 1)/9
Factor 3/7*j**3 + 141/7*j**2 + 39*j + 135/7.
3*(j + 1)**2*(j + 45)/7
Let z(n) = -1. Let o(w) = 2*w**2 - 18*w - 1. Let g(p) = -o(p) - 2*z(p). Let i be g(9). Factor 2*v**i - 5 - 4*v**3 - 3*v**3 + 5*v + 0*v**3 + 5*v**2.
-5*(v - 1)**2*(v + 1)
Suppose -259 = 12*g - 235. Let b(o) = 5*o**2 - 14. Let i(z) = z**2 - 1. Let l = -3 - -4. Let q(v) = g*i(v) + l*b(v). What is k in q(k) = 0?
-2, 2
Let t(w) = w**4 - 17*w**3 - 10*w**2 + 2. Let j(g) = -45*g**2 + 6*g**4 - 30*g**3 + 9 - 39*g**3 + 6*g**2. Let i(v) = -2*j(v) + 9*t(v). Factor i(q).
-3*q**2*(q + 1)*(q + 4)
Suppose 3*k + x = 2*x + 24, -5*x = 3*k - 42. Suppose 25 = k*h + 7. What is n in -166/3*n**h + 25/3*n**5 - 8/3 + 20*n + 209/3*n**3 - 40*n**4 = 0?
2/5, 1, 2
Solve -935/3*q**2 - 698/3*q + 233/3 - 4/3*q**3 = 0 for q.
-233, -1, 1/4
Let p be ((42/8)/7)/(1/4). Suppose 4*v - 4*h - h - 196 = 0, -4*v = p*h - 228. Let -61 - d**4 - v*d**2 + 142 + 24*d**3 - 2*d**4 = 0. What is d?
-1, 3
Let a(s) be the second derivative of -s**6/165 + 17*s**5/110 + 19*s**4/66 - 17*s**3/33 - 18*s**2/11 + 168*s + 3. Suppose a(v) = 0. What is v?
-1, 1, 18
Factor -48/7*d + 256/7 - 4/7*d**2.
-4*(d - 4)*(d + 16)/7
Determine a, given that -3304/3*a - 1088 - 12*a**2 + 4/3*a**3 = 0.
-24, -1, 34
Let l be 1644/180 + 6/(-45). Let a(t) = t**3 - 13*t**2 + 41*t - 43. Let q be a(l). Factor 3/5*f + 3/5*f**q + 1/5 + 1/5*f**3.
(f + 1)**3/5
Let o(j) be the second derivative of -j**7/210 - j**6/30 - j**5/15 - j**3/2 - 15*j**2/2 + 53*j. Let h(l) be the second derivative of o(l). Factor h(q).
-4*q*(q + 1)*(q + 2)
Let z(o) = -o + 11. Let q be z(9). Factor -3679*w**2 + 152*w + 142 + 3675*w**q - 1586.
-4*(w - 19)**2
Let j be 10/39 - (2/(-78))/(106/318). Factor -z**3 + j*z**5 - 5/3*z**2 + 0 - 2/3*z + 1/3*z**4.
z*(z - 2)*(z + 1)**3/3
What is c in 213*c**2 + 13852 + 505*c**3 - 502*c**3 - 3062*c - 1501*c + 7775 = 0?
-89, 9
Find i, given that -14*i**3 - 32008 - 24*i + 32*i**2 + 2*i**4 + 32008 = 0.
0, 2, 3
Let r(j) be the third derivative of -j**8/112 + 25*j**7/84 - 71*j**6/80 + 5*j**5/8 + 19*j**4/48 - 114*j**2. Determine d, given that r(d) = 0.
-1/6, 0, 1, 19
Suppose 0 = -p - 39 + 42. Suppose -x = x - 12. Find i such that -14*i**4 - 84*i**2 + 8 + 12*i + 8*i - x*i**4 + 76*i**p = 0.
-1/5, 1, 2
Suppose -3/5*x**2 + 54/5*x + 57/5 = 0. What is x?
-1, 19
What is s in -9*s**3 - 3/5*s**4 - 147/5*s - 189/5*s**2 + 0 = 0?
-7, -1, 0
Let p(h) be the second derivative of h**7/21 + 19*h**6/15 + 38*h**5/5 - 176*h**4/3 - 1792*h**3/3 + 2048*h**2 - 2*h - 603. Solve p(o) = 0.
-8, 1, 4
Let b be -2*(((-24)/3)/(-4) + -4). Suppose 2*r = b*r - 10. Find j such that -14*j**2 - 21 - 2*j + 0*j + 4*j**r + 3*j**3 + 10*j**4 + 25 - 5*j**3 = 0.
-2, -1, 1/2, 1
Let y be 336/80*15/9. What is m in 24*m**4 + 10*m**3 + 18*m**2 - 3*m**5 - 19*m**3 - y*m**3 - 23*m**3 = 0?
0, 1, 6
Let s(q) = 3*q**3 - 4*q**2 + 8*q - 4. Let a be s(7). Let g = -885 + a. Factor 0*c**4 + 4/3*c**3 + g*c**2 + 0 - 2/3*c**5 - 2/3*c.
-2*c*(c - 1)**2*(c + 1)**2/3
Let t(j) be the second derivative of j**7/21 - 17*j**6/15 + 9*j**5/2 - 43*j**4/6 + 14*j**3/3 - 70*j - 2. Let t(k) = 0. Calculate k.
0, 1, 14
Suppose -894 = -428*x - 38. Let -3/2*w**3 - w**x - 1/2*w**4 + 0 + 0*w = 0. What is w?
-2, -1, 0
Let m(r) = 75*r**2 - 160. Let o(l) = 15 - 17*l**2 - 18*l**2 + 8 - 16*l**2 + 40*l**2. Let x(p) = -3*m(p) - 20*o(p). Factor x(i).
-5*(i - 2)*(i + 2)
Let o(t) be the second derivative of 2/5*t**2 - 1/20*t**4 + 0 + 191*t + 1/50*t**6 + 2/5*t**3 - 2/25*t**5. Factor o(k).
(k - 2)**2*(k + 1)*(3*k + 1)/5
Let a = 265 - 239. Factor -22*o**4 + a*o**4 + 7*o**3 + 9*o**3 + 20*o - 4*o**3 - 36*o**2.
4*o*(o - 1)**2*(o + 5)
Let f(u) = 93*u**3 + 568*u**2 + 62*u + 14. Let r be f(-6). Find l such that -12/5*l**r + 0 - 4/5*l**5 + 0*l - 28/5*l**3 - 4*l**4 = 0.
-3, -1, 0
Let s = 25368 + -25368. Let d(v) be the third derivative of 0*v + 1/5*v**6 + 28*v**2 + 1/70*v**7 + s + 6*v**3 + 7/2*v**4 + 23/20*v**5. Let d(u) = 0. What is u?
-3, -2, -1
Let t(y) be the second derivative of 31/54*y**4 + 11/30*y**5 + 13/135*y**6 + 0 - 22*y + 1/189*y**7 + 10/27*y**3 + 0*y**2. Factor t(d).
2*d*(d + 1)**3*(d + 10)/9
Let w be (-