**4 + 195*g**3 = 0.
-2/5, 2, 3
Let d(g) = 1805*g**2 + 1725*g - 40. Let q(f) = 2707*f**2 + 2585*f - 58. Let p(o) = 8*d(o) - 5*q(o). What is z in p(z) = 0?
-1, 6/181
Suppose -306*x = -4*b - 309*x + 29, 5*b - x - 3 = 0. Factor -5 + 2/3*g + 1/3*g**b.
(g - 3)*(g + 5)/3
Let u = 118/173 - -8296/519. Let q(c) be the third derivative of u*c**3 - 5/2*c**4 + 0*c - 3/5*c**5 + 0 - 1/30*c**6 + 32*c**2. Factor q(p).
-4*(p - 1)*(p + 5)**2
Let z(l) be the second derivative of -l**7/42 + 3*l**6/10 + 3*l**5/20 - 25*l**4/12 - 3*l**3 + l + 380. Find r, given that z(r) = 0.
-1, 0, 2, 9
Let z(o) = o**3 + 8*o**2 - 7*o + 20. Let f be z(-9). Factor 5*n**2 - 15*n**2 + 18*n**2 + 8*n - 2*n**4 - f*n**3.
-2*n*(n - 2)*(n + 1)*(n + 2)
Let c be 3 + ((-28)/(-8) + 0)*-10. Let r be (-3)/(-2)*c/(-24). Suppose z - 7*z + 0*z**4 + 3*z**r - 5*z**4 + 6*z**3 + 2*z**4 = 0. Calculate z.
-1, 0, 1, 2
Factor 776*m + 748*m - 3*m**3 + 8*m - 282*m**2 - 63*m - 1176 - 305*m.
-3*(m - 2)**2*(m + 98)
Determine z, given that 250*z - 14*z**3 + 444*z**2 - 286*z + 270 + 2 + 1116*z = 0.
-2, -2/7, 34
Factor 0 - 145/6*d + 1/6*d**2.
d*(d - 145)/6
Let k(j) be the second derivative of j**7/168 - 5*j**6/24 + 2*j**5 + 40*j**4/3 + 89*j**3/3 + 14*j. Let n(m) be the second derivative of k(m). Factor n(z).
5*(z - 8)**2*(z + 1)
Let a(o) be the third derivative of -o**7/2625 - 19*o**6/750 - 277*o**5/750 + 133*o**4/25 - 588*o**3/25 - 1164*o**2. Factor a(v).
-2*(v - 2)**2*(v + 21)**2/25
Let r(n) = 3 + 3 + 35*n - 34*n. Let u be r(-2). Factor 3*v + v**3 + 3*v**5 - 5*v**u + 2*v**4 - 115*v**2 - 3 + 121*v**2 - 7*v**3.
3*(v - 1)**3*(v + 1)**2
Let l = -4 - -6. Let b = 1115/111 - 347/37. Factor -4/3 - b*y + l*y**2.
2*(y - 1)*(3*y + 2)/3
Let l = -445261/7 + 63611. Factor -l*j - 2/7*j**3 - 8/7 - 10/7*j**2.
-2*(j + 1)*(j + 2)**2/7
Solve 152 + 4*g**2 - 1064*g - 1011*g + 2231*g = 0 for g.
-38, -1
Let z(c) = 3*c**4 - 3*c**3 - 198*c**2 + 168*c + 1044. Let t(q) = -q**3 - 22*q + 1. Let n(r) = -12*t(r) - z(r). Let n(a) = 0. Calculate a.
-4, 2, 11
Factor -892 - 5040*k - 1693440*k**2 - 139503253*k**3 + 887 - 50162027*k**3.
-5*(336*k + 1)**3
Suppose k - 28 = -23. Suppose 4*h = 12, 54 = 5*i + k*h - 31. Find r, given that 2*r**3 - i - 2*r + 14 = 0.
-1, 0, 1
Find m, given that -95172*m - 1233*m**2 + 3375 - 10073 - 4*m**3 - 17018 = 0.
-154, -1/4
Let i be 65184/41904 + (2 - (-28)/(-18)). Factor -16/7*f**4 - 68/7*f**i - 12/7 + 2/7*f**5 + 48/7*f**3 + 46/7*f.
2*(f - 3)*(f - 2)*(f - 1)**3/7
Find c, given that -2/9*c**2 + 214/9 - 212/9*c = 0.
-107, 1
Solve 518 + 9/2*s**2 - 340*s = 0.
14/9, 74
Factor -6*m**3 - 132*m**2 + 4*m**3 - 2015 - 960*m - 605 + 764.
-2*(m + 4)**2*(m + 58)
Let h = 165 + -165. Let -3*v**4 - 33*v + 39*v - 3*v**3 + h*v**2 - 3*v**3 + 3*v**2 = 0. Calculate v.
-2, -1, 0, 1
Let t(d) = -2*d**2 - 25*d - 31. Suppose 26*x = 17*x - 99. Let h be t(x). Factor -3*i + 9 + 1/4*i**h.
(i - 6)**2/4
Factor 0*k**2 - 4/3*k**4 + 1/3*k**5 + 0 + 0*k - 32*k**3.
k**3*(k - 12)*(k + 8)/3
Let g(w) = w**2 + w + 1. Let v = -5 + 7. Let r(l) = -58 + 7*l**v + 5*l**3 - 2*l**2 + 68. Let k(a) = 10*g(a) - r(a). Solve k(b) = 0 for b.
-1, 0, 2
Let p(r) = -934*r**3 + 2*r**2 + 23*r + 9. Let h be p(-4). Solve 63291*j**3 + h*j**3 + 206216*j**3 + 103968*j**2 + 390963*j**4 + 844 + 14592*j - 76 = 0.
-4/19
Let m(s) = -4*s**2 + 628*s - 108241. Let o(j) = 3*j**2 - 638*j + 108241. Let k(g) = -4*m(g) - 6*o(g). Factor k(n).
-2*(n - 329)**2
Suppose 110*r - 9*r = -46*r + 441. Let f(c) be the second derivative of 7/9*c**r + 2/3*c**2 - 16*c + 0 + 1/10*c**5 + 4/9*c**4. Solve f(q) = 0.
-1, -2/3
Let w(s) be the second derivative of s**6/40 + s**5/4 + 7*s**4/8 + 3*s**3/2 + 81*s**2/2 + 18*s + 4. Let h(o) be the first derivative of w(o). Factor h(k).
3*(k + 1)**2*(k + 3)
Let d(c) = c**2 - 14*c + 13. Let i(p) = 2*p**2 - 29*p + 27. Let f(t) = 5*d(t) - 3*i(t). Let s be f(15). Factor s*r - 8*r - 3*r - 8*r - r**2.
-r*(r + 5)
Let v(q) be the third derivative of q**5/20 - 593*q**4/4 + 351649*q**3/2 + 2154*q**2. Let v(h) = 0. What is h?
593
Factor -332/3*l + l**2 - 448/3.
(l - 112)*(3*l + 4)/3
Let r(u) be the first derivative of -2*u**3/27 + 68*u**2/9 + 280*u/9 - 1624. Solve r(j) = 0 for j.
-2, 70
What is g in -9636*g - 386 - 7041285*g**3 - 190 + 7038785*g**3 - 40600*g**2 = 0?
-16, -3/25
Let w(t) be the second derivative of 1/21*t**4 - 1/35*t**5 - 2 + 8/7*t**3 + 2*t + 0*t**2. Solve w(r) = 0 for r.
-3, 0, 4
Let m(w) be the third derivative of -4*w**2 - 1/672*w**8 + 1/120*w**6 + 0*w + 0*w**5 - 1/48*w**4 + 0*w**3 + 0*w**7 - 3. Find p, given that m(p) = 0.
-1, 0, 1
Let i(f) be the third derivative of -f**6/2340 + f**5/390 + 2*f**4/39 - f**3/6 + 33*f**2. Let r(x) be the first derivative of i(x). Let r(y) = 0. Calculate y.
-2, 4
Factor 288*h**3 + 158466*h - 302526 - 31556*h**2 - 126*h**4 + 3566*h**3 - 914*h**3 + 2*h**5.
2*(h - 21)**2*(h - 7)**3
Let a(j) = 3*j**2 + 15*j + 9. Let r be a(-5). Let l be 125/(-75) - (-51)/r. Factor 0*n**2 + 2/5*n**3 + 1/5*n**l + 0 + 0*n.
n**3*(n + 2)/5
Determine t, given that 168/13*t**2 + 56/13*t**3 - 576/13*t + 0 + 2/13*t**4 = 0.
-24, -6, 0, 2
Let r be (36 + 5/(-5))*(-4)/10. Let j be ((-1)/2)/(r/56). Factor 0*a**4 + 0*a + 6*a - 2*a**2 + 0 - 6*a**3 + 4 - j*a**4.
-2*(a - 1)*(a + 1)**2*(a + 2)
Factor -3/5*t**3 + 0 + 483/5*t + 96*t**2.
-3*t*(t - 161)*(t + 1)/5
Let m(d) be the third derivative of 28/3*d**3 + 177*d**2 + 0*d + 1/60*d**6 - 13/30*d**5 - 4/3*d**4 + 0. Factor m(b).
2*(b - 14)*(b - 1)*(b + 2)
Solve -207*u + 85698 - 338*u - 283*u + 2*u**2 = 0 for u.
207
Let k(c) be the third derivative of -c**7/5880 + c**6/210 - c**4/12 - c**2 + c. Let r(f) be the second derivative of k(f). Let r(q) = 0. Calculate q.
0, 8
Let y = -264 + 271. Factor -2*l + 116 - 113 + 6*l**2 - y*l**2.
-(l - 1)*(l + 3)
Suppose -32/5 + 6/5*h - 6/5*h**3 + 32/5*h**2 = 0. What is h?
-1, 1, 16/3
Let w(m) be the second derivative of -m**7/3780 + m**6/18 - 5*m**5 - 21*m**4/2 - 135*m. Let j(a) be the third derivative of w(a). Find q, given that j(q) = 0.
30
Suppose 7*v - 7*v - 375*v**2 + 845*v**5 + 107137*v**3 - 108962*v**3 - 1885*v**4 = 0. Calculate v.
-5/13, 0, 3
Let w(o) be the first derivative of o**4/2 - 44*o**3 - 211*o**2 + 552*o + 3794. Factor w(j).
2*(j - 69)*(j - 1)*(j + 4)
Let v(t) be the second derivative of t**5/45 + 5*t**4/27 + 4*t**3/9 - 2913*t. Factor v(y).
4*y*(y + 2)*(y + 3)/9
What is h in -1279227/10*h - 1/10*h**3 - 1959/10*h**2 - 278445077/10 = 0?
-653
Let w(p) be the third derivative of p**9/12096 - 11*p**8/2016 - 26*p**5/5 - 13*p**2. Let a(n) be the third derivative of w(n). Factor a(l).
5*l**2*(l - 22)
Solve 1323 + 3/2*j**5 - 1575/2*j - 1257*j**2 + 786*j**3 - 66*j**4 = 0.
-1, 1, 2, 21
Let p(f) be the first derivative of -81*f**4/22 + 41658*f**3/11 - 27760*f**2/11 + 6168*f/11 - 4505. Factor p(u).
-2*(u - 771)*(9*u - 2)**2/11
Let k(z) be the second derivative of -z**5/10 - 89*z**4/2 - 7921*z**3 - 704969*z**2 + 574*z. Factor k(o).
-2*(o + 89)**3
Let d be 0 + (-1)/3 + 13/3. Suppose 0 = 31*q - 44*q. Find v such that 1/5*v**5 + 1/5*v**2 - 1/5*v**d + q*v - 1/5*v**3 + 0 = 0.
-1, 0, 1
What is r in 28022584 + 3*r**2 - 22350*r - 10929277 + 8028*r = 0?
2387
Let s(w) be the first derivative of w**3/12 + 23*w**2/8 + 15*w - 198. Factor s(x).
(x + 3)*(x + 20)/4
Factor -538 - 4746989*s + 0*s**2 + 4746959*s - 1115 + 3*s**2.
3*(s - 29)*(s + 19)
Let y(p) = -p**5 - 2*p**4 - p - 1. Suppose 44*g = 11*g - 33. Let a(x) = x**5 + 29*x**4 - 23*x**3 + 5*x**2 + 8*x + 5. Let l(t) = g*a(t) - 5*y(t). Factor l(c).
c*(c - 3)*(c - 1)**2*(4*c + 1)
Let v(g) = -g**3 + 11*g**2 - 13*g + 36. Let s be v(10). Suppose 10*i + s = 36. Factor 4*o**2 + 89*o**i + 85*o**3 + 4*o**4 - 182*o**3.
4*o**2*(o - 1)**2
Let v be -9 - (-57 + (-9009)/(-189)). Factor 5/3*o - 8 + v*o**2.
(o - 3)*(o + 8)/3
Let w be 8 - (-1122)/119 - 16. Find q such that -w*q**2 + 8/7 + 16/7*q = 0.
-2/5, 2
Let t = 1048 - 415. Suppose -4*m - 146 + 34 = -p, -3*p + 272 = 4*m. Solve p*j + t - j**2 - 57 + 5*j**2 = 0.
-12
Let l be (320/(-14) - (264 - 288))*4. Factor 36/7*o**2 + 66/7*o + 2/7*o**3 + l.
2*(o + 1)**2*(o + 16)/7
Let j(q) be the first derivative of 70 - 4/5*q**4 + 0*q**2 + 0*q + 2/25*q**5 + 32/15*q**3. Let j(k) = 0. Calculate k.
0, 4
Factor 5/6*p**2 - 265/3*p + 940.
5*(p - 94)*(p - 12)/6
Let v(u) be the second derivative of -u**4/4 - 107*u**3/2 - 159*u**2 - 4261*u. S