erivative of -o**6/210 + 757*o**5/105 - 3420*o**4 + 13608*o**3 + 2*o**2 - 2*o + 191. Factor n(c).
-4*(c - 378)**2*(c - 1)/7
Let x be 90*1*(-28)/(-5250)*45. Find l, given that 3/5*l**4 - 3*l**2 + x*l - 12/5*l**3 - 108/5 = 0.
-3, 2, 3
Let h(k) be the third derivative of -k**9/1008 + k**8/140 + 11*k**7/280 + k**6/20 - 61*k**3/6 - 35*k**2. Let a(g) be the first derivative of h(g). Factor a(q).
-3*q**2*(q - 6)*(q + 1)**2
Let x(d) = -38*d**3 + 1411*d**2 + 2919*d + 1283. Let k(g) = 27*g**3 - 1008*g**2 - 2085*g - 918. Let r(l) = 17*k(l) + 12*x(l). Factor r(u).
3*(u - 70)*(u + 1)**2
Let n(w) be the second derivative of -w**4/30 + 217*w**3/15 - 642*w**2/5 - 9947*w. Factor n(g).
-2*(g - 214)*(g - 3)/5
Let c(x) = 3198*x**3 - 960*x**2. Let a(v) = v**4 + 1599*v**3 - 486*v**2. Let w(d) = -9*a(d) + 4*c(d). Factor w(f).
-3*f**2*(f + 178)*(3*f - 1)
Find a, given that -244*a + 2194/9 + 2/9*a**2 = 0.
1, 1097
Let n be 3 + -54 + (-13821)/(-271). Determine x, given that -11/6*x**2 + 5/3*x**3 + 0 + n*x + 1/6*x**4 = 0.
-11, 0, 1
Factor -19*s**3 - 1148*s - 2872*s**2 + 2*s**3 + 7*s**3 + 5*s**3.
-s*(s + 574)*(5*s + 2)
Let y(a) be the third derivative of a**6/30 + 103*a**5/15 - 209*a**4/6 + 70*a**3 - 3175*a**2. Factor y(l).
4*(l - 1)**2*(l + 105)
Factor 186*r + 87808*r**4 + 314*r + 8400*r**2 + 0*r + 47040*r**3.
4*r*(28*r + 5)**3
Let x(v) = -58*v - 112. Let r be x(-2). Let t = 228/11 + -986/55. Suppose -238/5*j**2 - 102/5*j**3 - 36/5 - t*j**r - 186/5*j = 0. Calculate j.
-3, -1, -2/7
Let r(a) be the second derivative of a**6/6 + 187*a**5/2 + 174845*a**4/12 - 1979*a. Determine c, given that r(c) = 0.
-187, 0
Let x(k) be the third derivative of -11*k**5/60 + 155*k**4/24 - 7*k**3/3 - 42*k**2 + 11. Determine p so that x(p) = 0.
1/11, 14
Let x be 2 - -6 - 310/31. Let q be ((0 + x)*2)/(-1). Factor -5/2*z**5 + 15/2*z**q + 5/2*z**2 + 0*z + 0 - 15/2*z**3.
-5*z**2*(z - 1)**3/2
Let j(f) = -8*f**2 + 20*f + 100. Let l be j(5). Determine p, given that 20*p**2 + l - 1/2*p**5 + 5*p**4 - 33/2*p**3 - 8*p = 0.
0, 1, 4
Let y(q) = -7*q**2 - 91*q - 524. Let a(m) = 16*m**2 + 181*m + 1058. Let f(x) = 2*a(x) + 5*y(x). Factor f(n).
-3*(n + 7)*(n + 24)
Let v be 9620/333 + 0 + 6. Let k = v + -439/18. Determine o so that -k*o - 6 - 9/2*o**2 = 0.
-4/3, -1
Let v = 197/14 - 9759/700. Let l(b) be the second derivative of -v*b**5 + 0 + 1/5*b**2 - 2/15*b**6 - 2*b + 13/30*b**3 + 3/10*b**4. Let l(g) = 0. What is g?
-1, -2/5, -1/4, 1
Factor 44 + 482/11*k - 2/11*k**2.
-2*(k - 242)*(k + 1)/11
Let r(s) be the third derivative of 0 - 10/3*s**4 + 1/12*s**5 + 160/3*s**3 - 2*s - 83*s**2. Factor r(y).
5*(y - 8)**2
Let m be 7 + ((-21)/56*112/(-6))/(-2 + 4). Find x such that 57/4*x**2 - 183/4*x + m + 3*x**3 = 0.
-7, 1/4, 2
Suppose 0 = -3*f - 5*q - 4, -31 = 3*f + q - 35. Let k(m) be the first derivative of 10 - 2/27*m**3 - 1/18*m**f + 2/9*m + 1/36*m**4. Factor k(u).
(u - 2)*(u - 1)*(u + 1)/9
Let x(g) be the second derivative of -g**3/3 - 2*g**2 + 7*g. Let t be x(-2). Factor 0*b - b - 3*b**3 + 5*b**3 + t*b**5 - b**5.
-b*(b - 1)**2*(b + 1)**2
Let l be 9 - (3 - (-2812)/468). Let n = l + 41/234. Factor 0*z + 0 - 1/2*z**2 - 1/3*z**3 + n*z**4.
z**2*(z - 3)*(z + 1)/6
Suppose -216*y**3 + 1068/5 + 3216/5*y**2 - 3208/5*y + 4/5*y**4 = 0. Calculate y.
1, 267
Suppose 5*q - 246 = -21*l + 19*l, -l - 252 = -5*q. Let y be q/250*((-2)/(-4) - 0). Find z, given that y - 2/5*z - 1/10*z**2 + 2/5*z**3 = 0.
-1, 1/4, 1
Let o(i) be the first derivative of -i**3/3 + 2*i**2 - i + 16. Let x be o(3). Factor a - a - a**3 - x*a**3 + 3*a.
-3*a*(a - 1)*(a + 1)
Let i(r) be the second derivative of 5*r**4/54 + 179*r**3/9 + 214*r**2/9 - 5*r - 86. Let i(o) = 0. Calculate o.
-107, -2/5
Let m = -55445 - -166336/3. Factor -1/6*j**3 + m*j + 1/6*j**2 + 0.
-j*(j - 2)*(j + 1)/6
Let l(a) be the third derivative of 0*a**3 + 1/2016*a**8 + 0*a**4 + 0*a + 1/315*a**7 + 1 + 20*a**2 + 0*a**5 + 1/180*a**6. Find g, given that l(g) = 0.
-2, 0
Solve -52/5 - 2/25*d**2 + 46/25*d = 0.
10, 13
Let a(r) = -436*r**3 + 2116*r**2 + 2566*r + 19. Let d(m) = 217*m**3 - 1059*m**2 - 1284*m - 10. Let f(o) = 6*a(o) + 15*d(o). Suppose f(v) = 0. What is v?
-1, -2/213, 6
Let r be -7 + 228/32 - 207/(-648). Determine f so that -r*f**3 + 0 + 1/9*f**2 + 2/3*f + 1/9*f**4 = 0.
-1, 0, 2, 3
Let k(f) = -2*f**2 + 640*f. Let d(m) = -m**2 + 640*m. Let j(t) = -3*d(t) + 4*k(t). Factor j(g).
-5*g*(g - 128)
Let n(y) be the second derivative of 11/15*y**3 + 0*y**2 - 1/30*y**4 + 0 + 148*y. Suppose n(o) = 0. What is o?
0, 11
Let v = 176 - 124. Solve -120 + v - 4*y - y**2 + 64 = 0 for y.
-2
Factor 90/13*w**3 + 88/13*w**2 + 0*w + 2/13*w**4 + 0.
2*w**2*(w + 1)*(w + 44)/13
Let t(n) be the third derivative of 2*n**2 - 1/420*n**5 + 1/24*n**4 + 4/21*n**3 + 8*n + 0. Factor t(d).
-(d - 8)*(d + 1)/7
Let v(w) be the first derivative of -7*w**4/10 + 64*w**3/15 - 37*w**2/5 + 24*w/5 - 381. Factor v(j).
-2*(j - 3)*(j - 1)*(7*j - 4)/5
Let d(v) be the third derivative of 1/6*v**5 - 20/3*v**3 - 75*v**2 - 1 - 5/24*v**6 + 25/6*v**4 + 0*v. Solve d(s) = 0 for s.
-2, 2/5, 2
Let v(x) = -84*x**2 - 63*x**4 + 32*x**4 + 35*x**4 + 2 + 4*x**3 + 38*x**3 + 44*x. Let h(w) = -w**4 - w**3 - w**2 - 1. Let a(m) = 2*h(m) + v(m). Factor a(o).
2*o*(o - 1)**2*(o + 22)
Let j(t) = -9*t**4 - 7*t**3 - 58*t**2 + 19*t. Let z(a) = 5*a**4 + 4*a**3 + 31*a**2 - 10*a. Let o(m) = 6*j(m) + 11*z(m). Factor o(f).
f*(f - 1)**2*(f + 4)
Let j be (2 - 46/(-14)) + (-16)/56. Suppose j*z = 12 - 2. Find q, given that -z*q**2 + 5*q**4 + 10*q**2 + 15*q**3 + 7*q**2 + 5*q = 0.
-1, 0
Let -723770*d - 320*d**2 + 723770*d + 5*d**5 + 400*d**3 - 85*d**4 = 0. What is d?
0, 1, 8
Let i(c) be the first derivative of -1/720*c**6 + 1/60*c**5 - 3*c**2 + 0*c - 52 + 1/3*c**3 - 1/12*c**4. Let g(m) be the third derivative of i(m). Factor g(o).
-(o - 2)**2/2
Suppose -58 = -2*u + 44. Let m = 54 - u. Factor -14*n**3 - 2*n + 4 - 15*n**3 - 4*n**2 + 31*n**m.
2*(n - 2)*(n - 1)*(n + 1)
Let h(b) = b - 11124 + 11124. Let i(r) = -2*r**2 - 20*r + 20. Let p(c) = 2*h(c) + i(c). Solve p(n) = 0 for n.
-10, 1
Suppose -4*n + 5*k = -53, -4*k + 1112 = -4*n + 1156. Let -1/4*z**n + 1/4*z + 1/2 = 0. What is z?
-1, 2
Let m(p) be the third derivative of -p**7/420 + 161*p**6/240 + 163*p**5/60 + 849*p**2. Solve m(j) = 0.
-2, 0, 163
Let j be (-3)/((-3)/16*4). Suppose 0*u = 5*x - 2*u - 30, -4*x - 4*u - j = 0. Factor -2/3*a**5 - 2/3*a**2 + 2/3*a**3 + 2/3*a**x + 0 + 0*a.
-2*a**2*(a - 1)**2*(a + 1)/3
Let t = 907 - 906. Let c be 3 + 2 - (t - (4 - 5)). Suppose 2/5*x**c - 12/5*x**4 + 32/5*x + 48/5*x**2 + 0 + 2/5*x**5 = 0. What is x?
-1, 0, 4
Let i(x) be the second derivative of x**6/1260 - x**5/420 - x**4/14 - x**3/6 - 4*x**2 + 71*x. Let g(f) be the second derivative of i(f). Factor g(s).
2*(s - 3)*(s + 2)/7
Suppose -5*o - 3*q = -20, 4*q = 2*q. Factor 159*d + o*d**2 + 83*d + 128 - 560*d + 186*d.
4*(d - 32)*(d - 1)
Let j(c) = -c**3 - 19*c**2 + 43*c + 25. Let f be j(-21). Let u = 13 - 11. Solve 13*n**3 - 3*n**3 - n**4 + 4*n**u - 8*n - f*n**3 - 4*n**3 = 0 for n.
-2, 0, 2
Let q(u) be the first derivative of u**4/40 - 8*u**3/15 - 17*u**2/20 + 421. Factor q(i).
i*(i - 17)*(i + 1)/10
Suppose 5*x = 2*x + 2*v + 26, 0 = -3*v - 12. Let q be (-1)/x + (-154)/(-168). Factor 3/2*p + q*p**2 - 9/4.
3*(p - 1)*(p + 3)/4
Let b(p) = 37*p**2 - 12336*p - 7626118. Let t(o) = -105*o**2 + 37010*o + 22878355. Let i(r) = 20*b(r) + 7*t(r). Suppose i(u) = 0. Calculate u.
-1235
Let o(t) = 0*t + 1 - t**2 + 0*t**2 + 2 - 7*t. Let p be o(-6). Factor 720*y**3 + p + 24*y**4 + 38*y + 73*y + 243*y**2 + 168*y**4 + 225*y**2.
3*(y + 3)*(4*y + 1)**3
Let m(x) = -x**3 - 9*x**2 - 17*x - 60. Let g be m(-8). Suppose 0 = -5*y + 5*d - 10, -g = 5*y - y - 5*d. Suppose 3/5*w**y + 0*w + 0 = 0. What is w?
0
Let i(g) be the first derivative of -80/21*g**3 + 61 - 4/7*g**4 - 66/7*g**2 - 72/7*g. Solve i(x) = 0 for x.
-2, -3/2
Let q(s) be the second derivative of s**5/30 - 21*s**4/2 + 1323*s**3 - 253*s**2/2 - 114*s. Let k(m) be the first derivative of q(m). Find u such that k(u) = 0.
63
Let a(s) = 5*s**2 - 17*s + 16. Let w be a(4). Suppose -30*z = w*z + 59*z. Factor 1/5*p**2 + 2/5*p + z.
p*(p + 2)/5
Let f(o) be the third derivative of o**7/1155 - o**6/132 + 147*o**2 - 6*o. Suppose f(y) = 0. What is y?
0, 5
Let p be 2/(-41) - (-93888)/280686. Let 0 - p*a**2 - 2/7*a**3 + 0*a = 0. Calculat