6*d - 140. Solve x(k) = 0 for k.
-13/3, 17
Let c be (-11 + (-598)/(-52))*(-40)/(-6). Factor c*z**2 - 2/3*z**3 - 10/3 + 2/3*z.
-2*(z - 5)*(z - 1)*(z + 1)/3
Let w(g) be the second derivative of -g**5/100 + 199*g**4/60 - 3333*g**3/10 + 9801*g**2/10 - 2*g - 11. Factor w(s).
-(s - 99)**2*(s - 1)/5
Suppose 411*s = -1024*s + 13728 + 622. Factor s*y - 2/5*y**2 + 0.
-2*y*(y - 25)/5
Suppose 3*w - 2 - 34 = 0. Find m, given that w*m**4 + 9*m**5 - 103884*m**2 + 3*m**3 + 103884*m**2 = 0.
-1, -1/3, 0
Let t be 70/25 + (-612)/(-60) + -10. Let p(j) be the third derivative of 0*j**t + 1/660*j**6 + 5/132*j**4 + 0 + 1/55*j**5 + 0*j - 31*j**2. Factor p(o).
2*o*(o + 1)*(o + 5)/11
Suppose -2*n - 2*y + 58 = 0, -2*y = -2*n + 6*n - 118. Suppose -620*s**2 + s**4 + 655*s**2 - 6*s**4 - n*s**3 = 0. Calculate s.
-7, 0, 1
Let q(t) be the second derivative of 0*t**2 + 0 + 0*t**4 + 0*t**3 + 1/105*t**7 + 0*t**5 + 57*t + 2/75*t**6. Factor q(c).
2*c**4*(c + 2)/5
Let s be (-19 + (-4114)/(-220))*(-30)/27. Factor 0*h + 0 + 1/3*h**3 - 1/3*h**5 + s*h**4 - 1/3*h**2.
-h**2*(h - 1)**2*(h + 1)/3
Let a(u) be the third derivative of u**6/60 - 16*u**5/15 + 80*u**4/3 - 1024*u**3/3 - 1277*u**2. Let a(f) = 0. What is f?
8, 16
Let m(r) = -17*r**2 + 43*r - 278. Suppose 16 = -25*y + 27*y. Let t(x) = 27*x**2 - 64*x + 416. Let i(g) = y*m(g) + 5*t(g). Find w such that i(w) = 0.
12
Let u be (162/(-66) + 2)*(-2)/(-5) - 13052/(-2574). Factor 2/9*i**2 + u*i - 46/9.
2*(i - 1)*(i + 23)/9
Suppose -8*m = -13*m + 10*m. Suppose 105*o - 108*o + 12 = m. Determine q so that -16/9 + 56/9*q**o + 68/9*q**2 - 8/9*q + 106/9*q**3 + 10/9*q**5 = 0.
-2, -1, 2/5
Let u(q) be the second derivative of 3/4*q**4 - 2*q**3 + 3/2*q**2 + 0 + 43*q. Factor u(h).
3*(h - 1)*(3*h - 1)
Let j = 259 + -257. Determine u, given that -1 + 3 + 12*u + 10 + 2664*u**j - 2661*u**2 = 0.
-2
Let r(p) be the second derivative of -p**6/80 - 87*p**5/80 - 67*p**4/8 - 75*p**3/8 + 1431*p**2/16 + 2*p - 2190. Determine m, given that r(m) = 0.
-53, -3, 1
Let j(i) be the second derivative of -121*i - 2/3*i**3 + 0 + 0*i**2 + 3/4*i**4. Let j(c) = 0. Calculate c.
0, 4/9
Let f(u) = u**4 + u**3 - u**2. Let c(q) = -2*q**5 + 12*q**4 - 36*q**3 + 4*q**2. Let a(s) = -15*s - 131. Let z be a(-9). Let r(w) = z*f(w) + c(w). Factor r(p).
-2*p**3*(p - 4)**2
Let q = -263387 + 263387. Factor -2/9*x**3 + 32/9 + 8/3*x + q*x**2.
-2*(x - 4)*(x + 2)**2/9
Let j(o) = -o**3 + 945*o**2 - 10*o + 2. Let x(c) = -12*c**3 + 12288*c**2 - 135*c + 27. Let n(b) = 27*j(b) - 2*x(b). Factor n(a).
-3*a**2*(a - 313)
Let m(z) be the second derivative of 17*z**4/42 + 61*z**3/3 + 50*z**2/7 - 415*z. Factor m(t).
2*(t + 25)*(17*t + 2)/7
Suppose 13*d**3 - 15*d**3 + 19767*d**2 - 19335*d**2 = 0. Calculate d.
0, 216
Determine q, given that 8512/3*q + 2/9*q**4 + 6272 + 2216/9*q**2 - 152/9*q**3 = 0.
-4, 42
Let l(k) = k**3 + 8*k**2 + 30*k + 111. Let o be l(-6). Factor 0 - 2*m**o + 0*m - 8/9*m**4 - 4/9*m**2.
-2*m**2*(m + 2)*(4*m + 1)/9
Let f = -37181 - -37184. Let s(m) be the first derivative of -8/3*m**f - 25 - 7/8*m**4 - 3*m**2 - 1/10*m**5 + 0*m. Solve s(u) = 0.
-3, -2, 0
Let a be 1/(4/228*-3). Let p(m) = m**2 + 15*m - 74. Let j be p(a). Factor 3/4*y**3 + 3/4*y**j - 3*y - 3.
3*(y - 2)*(y + 1)*(y + 2)/4
Suppose -24 = -3*l - 4*z, -2*l - 11 = -5*z - 4. Let k = 1 + l. Factor 10*v**2 + 4*v + 7*v**2 - 3*v**3 - 11*v**2 + k*v**3.
2*v*(v + 1)*(v + 2)
Solve 35*z**5 - 38*z**5 + 201*z**3 - 211 - 1377*z**2 - 42*z**5 - 1176*z + 489*z**4 + 79 = 0.
-1, -2/15, 2, 11
Let z = 214147/5 + -44373. Let n = z - -1544. Suppose n*y**4 - 2/15 - 4/15*y**2 - 4/15*y**3 + 2/5*y - 2/15*y**5 = 0. Calculate y.
-1, 1
Suppose -18*d = -3*d + 270. Let w = 25 + -27. Let i(p) = p**2 + p + 1. Let v(n) = -28*n**3 + 18*n**2 - 6*n - 11. Let x(m) = d*i(m) + w*v(m). Factor x(a).
2*(a - 1)*(4*a - 1)*(7*a + 2)
Let -11/2*p**3 - 96 + 136*p + 1/6*p**5 - 217/6*p**2 + 3/2*p**4 = 0. What is p?
-8, 1, 3
Let r(n) be the third derivative of 0*n + 3/4*n**4 - 14/3*n**3 - 12*n**2 + 1 - 1/30*n**5. Factor r(b).
-2*(b - 7)*(b - 2)
Let w(r) be the first derivative of -7*r**3/4 - 5*r**2/2 + r/4 - 1292. Factor w(x).
-(x + 1)*(21*x - 1)/4
Let y(f) be the third derivative of -f**9/21168 + f**8/1680 + f**7/1470 + 29*f**4/12 - 2*f**2 - f. Let q(w) be the second derivative of y(w). Factor q(s).
-s**2*(s - 6)*(5*s + 2)/7
Let a(s) = -6*s**3 - 1011*s**2 + 1182*s + 11. Let l(c) = c**3 + 202*c**2 - 233*c - 2. Let k(w) = -2*a(w) - 11*l(w). Solve k(o) = 0.
0, 1, 199
Let w(z) be the second derivative of -z**9/30240 - z**8/6720 - z**7/5040 + 3*z**4/4 - 7*z - 3. Let a(g) be the third derivative of w(g). Factor a(c).
-c**2*(c + 1)**2/2
Let t(s) = 10*s**2 - 3*s - 4. Let m be t(-3). Suppose m - 7 = 4*g. Factor g - 2 - 820*r**2 + 815*r**2.
-5*(r - 2)*(r + 2)
Let g = -3517777/3 - -1172595. Factor 0 + 32*r**2 + 46/3*r**3 + g*r.
2*r*(r + 2)*(23*r + 2)/3
Let q be 4 - (-8 + 364)/(-4). Suppose 2*h - 6 = -2*d, -95*d = -q*d - 5*h + 15. Factor -3/5*g**3 + d + 0*g + 2/5*g**2 + 1/5*g**4.
g**2*(g - 2)*(g - 1)/5
Let f = -2/1217 - -1229/7302. Let u(b) be the first derivative of 0*b - 4 + 0*b**2 + f*b**3 + 1/8*b**4. Factor u(g).
g**2*(g + 1)/2
Let p(r) be the first derivative of -4*r**3/21 + 1076*r**2/7 - 289444*r/7 - 924. Factor p(y).
-4*(y - 269)**2/7
Suppose -s + 0*s = 0. Let m be 738/(69 - -13) - (4 - -1). What is y in -8/9*y**2 + 2/3*y**m - 2/9*y**5 + 0*y + 0 + s*y**3 = 0?
-1, 0, 2
Let k = 154/299 - -589/598. Let j(v) be the first derivative of k*v**2 + 4/3*v**3 - 7 + 1/4*v**4 + 0*v. Find o, given that j(o) = 0.
-3, -1, 0
Determine t, given that -162/7*t**2 - 72*t + 2/7*t**3 + 0 = 0.
-3, 0, 84
Let f(h) = 2*h**2 - 2*h - 6. Let t(q) = 11*q**2 - 408*q - 36. Let n(c) = -6*f(c) + t(c). Factor n(z).
-z*(z + 396)
Let b be (-11)/(-1)*1*1. Let c be 5/(340/(-8)) + (-8610)/(-2091). Suppose 5*g**2 - 29*g**c + 13*g**4 + b*g**4 = 0. Calculate g.
-1, 0, 1
Let j(t) be the second derivative of t**6/180 - t**5/30 - 2*t**4/3 - 67*t**3/6 - 7*t - 1. Let k(w) be the second derivative of j(w). What is c in k(c) = 0?
-2, 4
Let m(z) be the third derivative of z**7/10080 + z**6/160 - 31*z**4/6 - 169*z**2. Let x(o) be the second derivative of m(o). Factor x(b).
b*(b + 18)/4
Suppose -23*z = -32 - 37. Suppose 20*n + 18 = 21*n + z*d, 3*n - 24 = d. Factor -63/2*k**2 + n - 15/2*k.
-3*(3*k + 2)*(7*k - 3)/2
Let d(p) be the third derivative of -p**6/40 - 127*p**5/20 - 187*p**4/4 - 124*p**3 - 4*p**2 + 24. What is u in d(u) = 0?
-124, -2, -1
Let v(q) be the third derivative of -3*q**2 - 22*q + 1/2*q**4 - 1/210*q**7 + 1/40*q**6 + 0 + 4/15*q**5 + 0*q**3. Determine c so that v(c) = 0.
-2, -1, 0, 6
Let x(s) be the first derivative of -64/3*s**3 + 101 - 3*s**4 + 0*s + 4/5*s**5 - 24*s**2. Find m such that x(m) = 0.
-2, -1, 0, 6
Suppose -c + 5 + 6 = 0. Suppose 3*u - c - 4 = 0. Factor -3*t**5 - 7*t**u - 12*t**4 + 16*t**2 + 14*t**5.
4*t**2*(t - 2)**2*(t + 1)
Let d(l) be the second derivative of -1/4*l**5 + 10*l**4 + 1280*l**2 + 0 - 160*l**3 - 4*l. Let d(i) = 0. What is i?
8
Let g = 73957 + -73955. Let -24 + 8*o - 2/3*o**g = 0. Calculate o.
6
Let o = 2297 + -1582. Let t be 240/o - 8/(-44)*-1. Solve 2/13*h + 0 - t*h**2 = 0 for h.
0, 1
Let r(i) be the second derivative of -i**4/48 + 2879*i**3/12 - 8288641*i**2/8 - 33*i + 43. Factor r(g).
-(g - 2879)**2/4
Suppose 638 = -26*v - 3*v. Let h be -5 + 1 + (-18 - v). Factor -2/3*j**4 + h + 0*j - 6*j**2 - 4*j**3.
-2*j**2*(j + 3)**2/3
Suppose -3*c + 0*c + 18 = -o, -2 = -c. Let j be (1 - (-16)/o)*-4461. Factor -p**3 + j*p**2 + 16*p + 5*p**3 - 1507*p**2.
4*p*(p - 4)*(p - 1)
Let z(u) be the first derivative of -u**5/20 - 103*u**4/8 - 17*u**3 + 103*u**2/4 + 205*u/4 - 3001. What is f in z(f) = 0?
-205, -1, 1
Let j be -20 + 10856/115 + 18. Suppose 306/5*f**2 + 9/5*f - 27/5*f**5 - 51/5 - j*f**3 + 45*f**4 = 0. What is f?
-1/3, 1, 17/3
Let w(z) be the second derivative of -z**6/210 - 3*z**5/70 - 13*z**4/84 - 2*z**3/7 - 2*z**2/7 - 7*z + 234. Factor w(x).
-(x + 1)**2*(x + 2)**2/7
Let p(s) be the first derivative of 4/3*s**3 + 484*s + 38 - 44*s**2. Determine q so that p(q) = 0.
11
Factor -286/5*l**2 + 16/5 + 564/5*l.
-2*(l - 2)*(143*l + 4)/5
Let v(l) be the second derivative of l**4/36 - 65*l**3/9 + 86*l - 6. Determine d, given that v(d) = 0.
0, 130
Find v, given that -340*v**3 - 3*v**5 + 329*v**4 + 204*v**2 - 512*v - 2