 314*c**2 - 72*c**3 - 60*c - 180*c + 2*c**4 - 26705929 = 0. Calculate c.
-3, -1, 0, 40
Let w = -298 - -142. Let v be (-12)/(-8) + -2 - 130/w. Determine c so that 7/3 - v*c**2 + 2*c = 0.
-1, 7
Factor 24*k - 363*k**4 - 1667*k**2 + 2876*k**2 + 494*k**3 - 1485*k**2 + 364*k**3.
-3*k*(k - 2)*(11*k - 2)**2
Suppose -3*m = 3*t - 336 + 309, 9 = -9*t + m. Let q be 10/(-34)*(-2)/5. Factor -4/17*a + t - q*a**2.
-2*a*(a + 2)/17
Suppose 15*p**4 - 25/2*p**3 - 545/2*p - 75 - 255*p**2 = 0. What is p?
-3, -2/3, -1/2, 5
Let o = 95 - 82. Factor -95*w - o*w**2 + w**2 - w**3 + 103*w + 5*w**3.
4*w*(w - 2)*(w - 1)
Let t be ((-9)/18414)/(2*(-2)/(-16)). Let w = t + 12290/7161. Factor 2/7*j**2 + 10/7 + w*j.
2*(j + 1)*(j + 5)/7
Let c(x) be the third derivative of -2*x**7/315 + 41*x**6/30 + 25*x**5/3 + 377*x**4/18 + 28*x**3 - 3*x**2 + 15*x - 12. Factor c(n).
-4*(n - 126)*(n + 1)**3/3
Let i(r) = -2*r - 1. Let o(j) = -j**2 - j + 2. Let k(z) = -6*z**2 - 159*z - 4623. Let q(t) = k(t) - 5*o(t). Let g(v) = -18*i(v) + 2*q(v). Factor g(h).
-2*(h + 68)**2
Suppose -2*s - 119 = -3*c, 2*c - 2*s = 4*c - 66. Solve -9*g + 4*g**2 - 28 + 9 + c*g - 13 = 0 for g.
-8, 1
Determine o so that -6/5*o**3 - 906/5*o**2 + 0 + 0*o = 0.
-151, 0
Suppose -6*j = -1029 + 1011. Factor -52*w**2 + 3*w - 18*w**2 - 22*w**2 - j*w**3 + 48 + 44*w**2.
-3*(w - 1)*(w + 1)*(w + 16)
Factor 112*w**3 - 1827*w - 2*w**4 + 1986*w + 622*w**2 - 891*w.
-2*w*(w - 61)*(w - 1)*(w + 6)
Let v(p) be the third derivative of 0 + 5/9*p**3 - 4/9*p**4 + 1/5*p**5 + 6*p - 2/45*p**6 + 1/315*p**7 + 2*p**2. Factor v(a).
2*(a - 5)*(a - 1)**3/3
Let z(v) be the first derivative of 81*v**5 + 180*v**4 + 230*v**3/3 - 40*v**2 + 5*v + 4609. Determine k so that z(k) = 0.
-1, 1/9
Let h(a) = -a**3 - 7*a**2 - 12*a - 16. Let y be h(-4). Let t be (11/22)/((-4)/y). Factor 0*c + 1/2*c**4 + 0*c**3 + 0 + 0*c**t.
c**4/2
Factor 43217*b - 13*b**3 - 46567*b - 1254 - 16*b**3 - 2106*b**2 + 19*b**3.
-2*(b + 1)*(b + 209)*(5*b + 3)
Let k(r) be the first derivative of r**6/3 + 12*r**5/5 + 6*r**4 + 16*r**3/3 + 1048. Factor k(l).
2*l**2*(l + 2)**3
Let -285/7*z**2 - 288/7*z + 3/7*z**3 + 0 = 0. What is z?
-1, 0, 96
Suppose 4*o = 8, -2*o + 5*o = -5*y + 56. Suppose -9*j + y = -4*j. Factor -6*d**3 + 10*d**4 - 6*d + 5*d**2 - 6*d**j - 2*d - 23*d**2.
2*d*(d - 2)*(d + 1)*(5*d + 2)
Let z(b) be the third derivative of -b**8/420 + b**6/18 - 2*b**4/3 + 15*b**3/2 - 13*b**2. Let d(t) be the first derivative of z(t). Find j, given that d(j) = 0.
-2, -1, 1, 2
Let t be (-64 + 62)*12/(-34). Let n(i) be the first derivative of -7/17*i**2 - 2/51*i**3 - t*i - 5. Find k such that n(k) = 0.
-6, -1
Let b(p) be the first derivative of -p**4/18 - 304*p**3/27 - 301*p**2/9 - 100*p/3 - 1137. Factor b(z).
-2*(z + 1)**2*(z + 150)/9
Suppose 0 = 5*i - 0*i - 15. Suppose -6 - 10 = 4*v, 2*v + 16 = 2*h. Find y such that 5*y**h + 4*y**3 - i*y**5 + 4*y**4 - 4*y**5 + 3*y**4 = 0.
-2/7, 0, 2
Let h(a) be the third derivative of 0 - 3/2*a**3 + 1/2*a**4 + 46*a**2 - 1/20*a**5 + 0*a. What is w in h(w) = 0?
1, 3
Let b(d) be the first derivative of -d**8/840 + 2*d**7/175 - 3*d**6/100 + 2*d**5/75 + d**2 + 67*d - 10. Let a(q) be the second derivative of b(q). Factor a(v).
-2*v**2*(v - 4)*(v - 1)**2/5
Let c(g) = 2*g**4 + g - 1. Suppose 6*o + 56 = 34*o. Let f(q) = q**4 + 25*q**3 + 15*q**2 - 47*q + 2. Let k(w) = o*c(w) + f(w). Determine z so that k(z) = 0.
-3, 0, 1
Find j such that 66 - 130 - 222 - 2*j**2 - 246 + 534*j = 0.
1, 266
Let z be 3/9 - (4 - 2)*313/(-626). Suppose 4*w**3 - z*w**5 + 0 - 32/3*w**2 + 8/3*w**4 + 16/3*w = 0. What is w?
-2, 0, 1, 2
Let b be (-252)/(-117) - 2/13 - (2 - 0). Let y(w) be the second derivative of b*w**2 + 0 - 13/12*w**4 - w**5 - 26*w - 3/10*w**6 - 1/3*w**3. Factor y(r).
-r*(r + 1)**2*(9*r + 2)
Factor 311*r**3 + 423*r**2 + 95*r**2 - 382*r + r**4 - r**2 + 409*r**2 + 998*r.
r*(r + 1)*(r + 2)*(r + 308)
Let i(v) be the first derivative of 0*v + 1/3*v**3 + 17 + 0*v**4 + 0*v**2 - 1/90*v**6 - 1/30*v**5. Let w(k) be the third derivative of i(k). Factor w(o).
-4*o*(o + 1)
Determine h so that -1/4*h**4 - 47*h**3 + 0 + 1/4*h**2 + 47*h = 0.
-188, -1, 0, 1
Let d(i) be the second derivative of -2 + 4/189*i**7 + 0*i**2 - 7/54*i**4 - 41*i - 3/10*i**5 + 0*i**3 - 8/45*i**6. What is k in d(k) = 0?
-1/2, 0, 7
Let f = 9774 - 9771. Let w(t) be the second derivative of -2/15*t**6 + 0*t**2 + 0*t**f + 0 + 4/15*t**5 + 14*t - 1/9*t**4. Factor w(g).
-4*g**2*(g - 1)*(3*g - 1)/3
Let l(a) be the third derivative of -a**5/20 + 41*a**4 + 329*a**3/2 - 1465*a**2. Let l(y) = 0. What is y?
-1, 329
Let t(g) = 17*g**2 - 49*g + 75. Let h(d) = 2*d**2 - 3. Let i(y) = 9*h(y) - t(y). What is l in i(l) = 0?
-51, 2
Let c(a) be the first derivative of -3/100*a**5 + 1/10*a**3 - 3/10*a**2 + 1/20*a**4 - 12*a - 35. Let t(v) be the first derivative of c(v). Factor t(k).
-3*(k - 1)**2*(k + 1)/5
Let d(u) = 55*u**3 - 8800*u**2 - 17790*u - 8460. Let i(v) = -9*v**3 + 1467*v**2 + 2965*v + 1413. Let p(b) = -4*d(b) - 25*i(b). Factor p(f).
5*(f - 297)*(f + 1)**2
Let w(j) be the third derivative of j**10/5040 - j**9/1890 - j**8/3360 + j**7/630 + 3*j**4/8 + 31*j**2. Let x(u) be the second derivative of w(u). Factor x(t).
2*t**2*(t - 1)**2*(3*t + 2)
Let x(m) be the second derivative of -3*m**5/20 + 11*m**4/2 - 76*m**3 + 480*m**2 + 95*m - 20. Factor x(t).
-3*(t - 10)*(t - 8)*(t - 4)
Let v(f) be the second derivative of 0*f**4 + 1 - 5*f + 1/70*f**5 - 1/42*f**3 - 1/294*f**7 + 0*f**2 + 0*f**6. Find r, given that v(r) = 0.
-1, 0, 1
Let q(a) be the second derivative of 3*a**4/11 + 307*a**3/66 - 35*a**2/11 - 1782*a. Find f such that q(f) = 0.
-35/4, 2/9
What is k in -7*k**3 - 1503*k**4 + 1501*k**4 + 0*k**2 - 3*k**3 + 10*k + 2*k**2 = 0?
-5, -1, 0, 1
Let u(o) = 2*o**3 - o**2 + 1. Let s(t) = -4*t**3 - t**2 + 20*t - 17. Let k = -252 + 251. Let i(p) = k*s(p) - u(p). Determine h so that i(h) = 0.
-4, 1, 2
Let r be (2/(-9))/((-1456)/(-1028937)). Let m = -470/3 - r. Suppose -3/2 + 15/8*c - m*c**2 = 0. Calculate c.
1, 4
Let k(w) be the second derivative of w**6/105 - 127*w**5/35 + 5203*w**4/14 + 22188*w**3/7 + 10719*w. Solve k(b) = 0 for b.
-4, 0, 129
Let v be (-2)/(10/(-175)*275/15). Let y(x) be the second derivative of 49/11*x**2 + 0 - 17*x + 5/22*x**4 - 1/110*x**5 - v*x**3. Let y(w) = 0. Calculate w.
1, 7
Let a(w) be the second derivative of -w**5/2 + w**4/6 - 37*w**3/6 - 9*w**2/2 + w. Let n(q) = -q**3 - q**2 - 3*q - 1. Let h(s) = 2*a(s) - 18*n(s). Factor h(b).
-2*b*(b - 10)*(b - 1)
Suppose -4*n + 6 = 2*f, -2*f = f - 3*n - 45. Suppose 0 = 5*b - f - 9. Let -l**4 + 2*l**b + 365*l**3 - 363*l**3 = 0. Calculate l.
-2, 0
Let k = -246 - -246. Suppose k = -188*v + 195*v - 112. Let -1/4*l**3 - 3*l**2 - v - 12*l = 0. What is l?
-4
Let n be ((-8)/(-14))/(45/(945/2)). Let z(r) be the third derivative of 1/24*r**n + 1/30*r**5 - 4/3*r**3 + 0*r - 5/6*r**4 + 0 + 4*r**2. Factor z(x).
(x - 2)*(x + 2)*(5*x + 2)
Let q = -9102/11 - -828. Suppose 0*w - 3*o = 6*w - 3*w + 2*o, 0 = 2*o. Factor -2/11*v**4 - 2/11*v + w - q*v**2 - 6/11*v**3.
-2*v*(v + 1)**3/11
Let u(y) be the second derivative of -y**4/48 - 23*y**3/24 + 105*y**2/4 - y + 407. Determine h, given that u(h) = 0.
-30, 7
Let u be (5/3)/((-40)/(-3600)*1275). Find d such that -4/17*d**4 - 14/17*d**3 + 0*d - 8/17*d**2 + 0 + u*d**5 = 0.
-1, 0, 4
Factor -340/3 + 2/3*t**2 + 338/3*t.
2*(t - 1)*(t + 170)/3
Let y(k) be the third derivative of 0*k + 24/5*k**3 + 1/600*k**6 + 0 - 1/10*k**4 - 2/75*k**5 - 29*k**2. Suppose y(u) = 0. What is u?
-4, 6
Suppose 4*f - 24 = -3*j, 7 = 2*f + 1. Find g such that 12*g**3 + 0*g**4 - j*g**4 + 17*g**2 - 29*g**2 + 4*g = 0.
0, 1
Let l be 5 + -10 - 6 - (-707)/63. Suppose 10/9*s - 8/9 - l*s**2 = 0. What is s?
1, 4
Let n(y) = -2*y**2 + 10983*y + 132099. Let h be n(-12). Factor -21/4*p**2 - 9 - h*p.
-3*(p + 2)*(7*p + 6)/4
Let p be (3 + -5)/((-1)/(-2 - -14)). Let y be 1/(-4 - (-99)/p). Factor 8 - 271*f**3 - 20*f**2 + 283*f**3 + y - 16*f.
4*(f - 2)*(f + 1)*(3*f - 2)
Let m(v) be the second derivative of -10/3*v**4 + 0*v**2 + 5/6*v**7 + 172*v + 11/2*v**6 + 9/2*v**5 + 0 + 0*v**3. What is t in m(t) = 0?
-4, -1, 0, 2/7
Let u be ((-36)/30)/(2/60*-4*3). Let i(v) be the second derivative of 7*v - 1/35*v**6 + 0 + 1/35*v**5 + 2/21*v**4 - 1/7*v**2 - 2/21*v**u. Solve i(g) = 0 for g.
-1, -1/3, 1
Let k(z) be the third derivative of