**3/9 - 2*m**2/3 - 10*m + 26. Let n(o) = 0. What is o?
-1, 2/5, 1
Let a(i) be the third derivative of i**6/60 - 287*i**5/30 + 20735*i**4/12 - 20449*i**3/3 + i**2 + 206. Factor a(o).
2*(o - 143)**2*(o - 1)
Let s = -274 - -526. Let b be (-4)/(-26) + s/52 + -3. Factor 8*p**4 - 11*p**4 + 9 + 18*p**b - 7*p - 17*p.
-3*(p - 1)**3*(p + 3)
Let b = -28/7047 - -7159/28188. Factor b*k**2 - 7*k + 49.
(k - 14)**2/4
Let m(y) be the second derivative of y**3/6 - y**2/2 - 12*y. Let o be m(4). Factor -12*n - 9/2*n**2 - 6 + 3*n**o + 3/2*n**4.
3*(n - 2)*(n + 1)**2*(n + 2)/2
Let u = 142 + -120. Suppose b = -n + 6, -2*b + b = 5*n - u. Find i, given that -59*i + 50*i**b + 87 - 5*i**3 - 81*i + 33 = 0.
2, 6
Let f = 943 + -944. Let i be -153 + 151 - (-1 + f). Suppose 9/2*w**4 + 5/2*w**3 + 0 + i*w**2 + 0*w + 2*w**5 = 0. Calculate w.
-5/4, -1, 0
Let z(q) be the second derivative of -1/2*q**2 + 0 + 1/15*q**6 - 1/84*q**7 - 1/12*q**4 - 1/10*q**5 + 5/12*q**3 - 6*q. Factor z(u).
-(u - 2)*(u - 1)**3*(u + 1)/2
Suppose 6*g = 7 + 11. Suppose -g*h + 4 = -4*h. Let t(u) = 8*u**2 + 8*u - 6. Let s(q) = 7*q**2 + 7*q - 6. Let x(i) = h*t(i) + 5*s(i). Find c such that x(c) = 0.
-2, 1
Let i be 1407/(-603) - 41/(-18)*3. Suppose -i*s**3 - 47/2*s**2 + 22*s + 6 = 0. What is s?
-6, -2/9, 1
Let f(u) be the first derivative of -u**4/26 - 6*u**3/13 - 2*u**2 - 48*u/13 - 1171. Suppose f(r) = 0. What is r?
-4, -3, -2
Let d(a) = 13*a**2 + 12*a - 12. Let y be d(-7). Let n = -5409/10 + y. Factor n*r**2 + 3/10 + 2/5*r.
(r + 1)*(r + 3)/10
Let p(w) be the first derivative of w**5/15 - w**4/3 - 8*w**3/9 + 34*w + 14. Let r(z) be the first derivative of p(z). Factor r(d).
4*d*(d - 4)*(d + 1)/3
Let d be -55 + 49 - (-8 + -1 + 3). Suppose 0 = -4*z + 3*k + 17, d = 5*z - 16*k + 17*k - 7. Factor -54 - 66*m - 38/3*m**z - 2/3*m**3.
-2*(m + 1)*(m + 9)**2/3
Let y(n) = 26*n**4 - 41*n**3 + 162*n**2 - 14. Let i(z) = 4*z**4 + z**3 - 2. Let g(o) = -7*i(o) + y(o). Suppose g(h) = 0. Calculate h.
-27, 0, 3
Let t = 135 - 137. Let q be (25/10 - t) + 12 + -15. Find p, given that 2/5*p + q*p**3 + 0 + 7/10*p**4 + 1/10*p**5 + 13/10*p**2 = 0.
-4, -1, 0
Let u(t) be the first derivative of t**6/4 - 6*t**5 + 33*t**4/2 + 67*t**3 - 711*t**2/4 - 459*t + 348. Solve u(c) = 0 for c.
-2, -1, 3, 17
Let k = 29 - 40. Let p = k + 16. Factor -2*u**2 - 3*u**4 + 6*u**2 - u**2 - 4*u**p + 3*u**3 + u**5.
-3*u**2*(u - 1)*(u + 1)**2
Let u(y) = 5*y**2 - 2956*y + 5928. Let m(i) = 20*i**2 - 11828*i + 23714. Let j(r) = -6*m(r) + 23*u(r). Factor j(q).
-5*(q - 594)*(q - 2)
Let v = -190037/44 - -47512/11. Suppose 17/4*y**2 + 11/4*y**3 - 9/2 - 11/4*y + v*y**4 = 0. What is y?
-9, -2, -1, 1
Suppose -1178/5*u**3 + 88*u**4 + 16 + 1244/5*u**2 - 536/5*u - 10*u**5 = 0. Calculate u.
2/5, 1, 2, 5
Let c(u) be the second derivative of -55*u**4/2 - 338*u**3/3 - 56*u**2 + 1782*u. Determine v, given that c(v) = 0.
-28/15, -2/11
Let v(f) = 17*f - 178. Let i be v(11). Find n such that 54*n**4 + 4*n + 2*n - 15*n**3 - 107*n**4 + i*n**5 + 3*n**2 + 50*n**4 = 0.
-1, -2/3, 0, 1
Let y(n) = n**2 - 2*n - 60. Let f be y(9). Let c(w) be the second derivative of 0*w**2 + 0 - 9*w + 1/20*w**5 + 1/3*w**4 + 1/2*w**f. Let c(s) = 0. What is s?
-3, -1, 0
Let s(d) = 386*d**4 - 144*d**3 - 10*d**2 + 346*d - 34. Let y(z) = -34*z**4 + 13*z**3 + z**2 - 31*z + 3. Let b(l) = 6*s(l) + 68*y(l). Find t such that b(t) = 0.
-4, -2, 0, 1
Suppose 25*d = 60*d - 30*d - 15. Let r(x) be the first derivative of -45/2*x - 75/4*x**2 + 39 - 5/8*x**4 - 35/6*x**d. Let r(o) = 0. What is o?
-3, -1
Let y(b) = 33*b + 1. Let p be y(0). Let i be p/(-5) + 165/75. Factor -1/5*j + 1/5*j**3 - 3/5 + 3/5*j**i.
(j - 1)*(j + 1)*(j + 3)/5
Let z(v) = v**3 + 9*v**2 + 5*v + 15. Let k(t) = -4*t + 3 + t**2 + 6*t - t. Let o(w) = 30*k(w) - 5*z(w). Factor o(q).
-5*(q - 1)*(q + 1)*(q + 3)
Let f = 61 - 87. Let r be ((-13)/f)/((-5)/(-24)). Find s such that -r*s**4 - 9/5*s + 6/5*s**3 + 3/5*s**5 + 12/5*s**2 + 0 = 0.
-1, 0, 1, 3
Let q(i) be the third derivative of i**8/1008 - 38*i**7/315 + 55*i**6/9 - 816*i**5/5 + 2322*i**4 - 12960*i**3 - 9096*i**2. Factor q(z).
(z - 20)*(z - 18)**3*(z - 2)/3
Let j(i) = 8*i - 51. Let w be j(11). Factor -2*y**4 + 13*y**2 + 14*y**2 + 4*y**3 + 8*y**2 - w*y**2.
-2*y**2*(y - 1)**2
Let o = -1394 - -579. Let c = 817 + o. Let 8/7 + 10/7*h + 2/7*h**c = 0. What is h?
-4, -1
Suppose -5*k - 3*z = -122, 13*k - 2*z - 102 = 9*k. Find q, given that -35*q**3 + 40 - 15*q**2 - 22*q**3 - 4*q**3 - 49*q**3 - k*q**4 + 110*q = 0.
-4, -1, -2/5, 1
Let o(x) be the first derivative of x**6/300 + 2*x**5/75 - x**4/12 + 5*x**2/2 - x - 77. Let j(n) be the second derivative of o(n). Factor j(b).
2*b*(b - 1)*(b + 5)/5
Let i(d) = -d**2 - 9723*d - 126227. Let b be i(-13). Let 0 - 23/2*t**2 - 1/2*t**4 - 7*t - 5*t**b = 0. What is t?
-7, -2, -1, 0
Let x be 24/44 - (-2)/(-11). Let t = 80555 - 886005/11. Factor 30/11*j + t*j**3 + 14/11*j**5 + x + 80/11*j**2 + 60/11*j**4.
2*(j + 1)**4*(7*j + 2)/11
Let f(y) = y + 4. Let a be f(-1). Factor -152*v - 2*v**a - 94*v + 54*v - 151 - 105 - 36*v**2.
-2*(v + 2)*(v + 8)**2
Factor 2*y**4 - 98*y**2 + 16*y**3 + 746 - 4*y**3 + 132*y - 746.
2*y*(y - 3)*(y - 2)*(y + 11)
Factor 0*i - 2/17*i**4 + 0 + 226/17*i**3 + 460/17*i**2.
-2*i**2*(i - 115)*(i + 2)/17
Factor 151556427/5*h - 7/5*h**4 - 1632987/5*h**2 + 43435278/5 + 5857/5*h**3.
-(h - 279)**3*(7*h + 2)/5
Factor -672*n**2 - 4 + 5*n - 44*n + 4 + 669*n**2.
-3*n*(n + 13)
Let g(c) be the third derivative of -c**6/1080 - 2*c**5/27 - 34*c**4/27 - 256*c**3/27 - 2291*c**2. Factor g(l).
-(l + 4)**2*(l + 32)/9
Factor -14/3 - 4/3*g**3 + 106/9*g + 14/9*g**4 + 2/9*g**5 - 68/9*g**2.
2*(g - 1)**3*(g + 3)*(g + 7)/9
Let p(i) = 17*i**3 + 83*i**2 + 1303*i + 4735. Let x(v) = -37*v**3 - 166*v**2 - 2605*v - 9467. Let h(t) = 13*p(t) + 6*x(t). Solve h(l) = 0.
-7, 97
Let q be (5/75)/((-1196)/(-7176)). Determine u so that 28/5*u - 6 + q*u**2 = 0.
-15, 1
Let j(c) be the first derivative of 79*c**3/3 + 71*c**2/2 - 8*c + 2646. Factor j(b).
(b + 1)*(79*b - 8)
Let y be 5/(-8) - (-13)/((-4264)/(-2829)). Factor -68/3*k - 4*k**2 + y.
-4*(k + 6)*(3*k - 1)/3
Let j(t) be the first derivative of t**6/24 - 3*t**5/10 + t**4/8 + 4*t**3/3 - 3*t**2/8 - 5*t/2 + 1716. Find r such that j(r) = 0.
-1, 1, 2, 5
Let r(s) be the first derivative of -s**7/210 + s**6/60 + s**5/60 - s**4/12 - 3*s**2/2 - 9*s + 115. Let p(b) be the second derivative of r(b). Factor p(l).
-l*(l - 2)*(l - 1)*(l + 1)
Let o(w) be the third derivative of 7*w**6/96 - 109*w**5/12 + 1205*w**4/24 - 50*w**3 - 2*w**2 + w - 18. Factor o(f).
5*(f - 60)*(f - 2)*(7*f - 2)/4
Let i(c) be the first derivative of 2*c**5/15 - 52*c**4/3 + 6176*c**3/9 - 6656*c**2 + 24576*c - 2996. What is k in i(k) = 0?
4, 48
Factor -46530*p**2 + 222349*p - 361280 - 461986*p - 5056 - 1788*p**3 - 230880*p - 879540 - 24*p**4.
-3*(p + 4)*(2*p + 47)**3
Let x = 94 + -91. Suppose 0 = -x*l - 2*d - 0 + 4, 12 = 5*l + 2*d. Solve a**5 - 2*a**3 - a - 23*a**2 + 2*a**l + 2*a**3 + 21*a**2 = 0.
-1, 0, 1
Factor -22/7*i**2 - 120/7 + 2/7*i**3 - 16*i.
2*(i - 15)*(i + 2)**2/7
Let h(l) = l**3 + 8*l**2 + 18*l - 2. Let f be h(-7). Let u = f - -559/7. Factor -u - 3*z**3 - 9/7*z + 36/7*z**2.
-3*(z - 1)**2*(7*z + 2)/7
Let i be (40/(-28))/(24125/(-1351)). Let 4/5 - i*t**2 + 18/25*t = 0. Calculate t.
-1, 10
Let m(a) = -2*a - 4. Let z(h) = -5*h**2 + 1225*h - 100. Let k(j) = 25*m(j) - z(j). Determine f so that k(f) = 0.
0, 255
Suppose 11534*o = 11475*o + 177. Let c(j) be the first derivative of 18*j - j**o + 36 - 15/2*j**2. Factor c(p).
-3*(p - 1)*(p + 6)
Let m be (-1568)/343*(1 + -4 - (-102)/(-68)). Factor -m*b + 2/7*b**2 + 2592/7.
2*(b - 36)**2/7
Let d be (-47)/((-2585)/198)*(-10)/(-9). Factor 2/5*y**2 + 0 + 0*y - 3/5*y**3 + 1/5*y**d.
y**2*(y - 2)*(y - 1)/5
Let v(y) be the first derivative of 9*y**6/2 + 222*y**5 + 9711*y**4/4 - 11492*y**3 + 17622*y**2 - 11616*y - 8644. Suppose v(m) = 0. Calculate m.
-22, 8/9, 1
Let h = 85609/7 + -85571/7. Factor h*j - 40/7*j**2 + 0 + 2/7*j**3.
2*j*(j - 19)*(j - 1)/7
Let m be -13 + 13 - (-8)/(2 + 0). Suppose 1 = b, -3*j + 3*b - m*b + 31 = 0. Factor -18 - 9*s**3 + 7*s - 20*s + j*s + 30*s**2.
-3*(s - 3)*(s - 1)*(3*s + 2)
Let -207/4*s**2 + 45/4*s**3 - 63/2 - 3/4*s**4 + 291/4*s = 0. Calculate s.
1, 6, 7
Let n(b) be the second derivative of b**5/70 + 5*b**4/42 - 2*b**3/3 + 1101*b + 1