 + 5*d + 3669. Let s = -4568/5 + l. Factor 0*n + 4/5*n**3 + s*n**2 + 0.
4*n**2*(n + 3)/5
Let d(m) be the third derivative of m**6/600 + 27*m**5/100 + 729*m**4/40 - 119*m**3/6 + 29*m**2. Let k(j) be the first derivative of d(j). Factor k(q).
3*(q + 27)**2/5
Let k(b) = -9*b**2 + 79*b + 238. Let g(y) be the third derivative of -y**5/20 + 13*y**4/12 + 40*y**3/3 - 6*y**2 - 2. Let p(j) = -11*g(j) + 4*k(j). Factor p(x).
-3*(x - 12)*(x + 2)
Suppose -4*v = -2*h - 72, 4414*v - 4418*v - 31 = -107. Let -4/11*o**3 + 0 - 8/11*o**h - 2/11*o**5 + 6/11*o + 8/11*o**4 = 0. What is o?
-1, 0, 1, 3
Let p(d) = 3*d**2 - 462*d - 3. Let c(x) = -61*x - 1. Let b(l) = 3*c(l) - p(l). What is u in b(u) = 0?
0, 93
Let u be (-7810)/355 + (-487)/(-20) - (-6)/(-8). Factor -u + 21/5*q**2 - 82/5*q.
(q - 4)*(21*q + 2)/5
Suppose -21 = -3*i + 2*d, -473*d = -5*i - 469*d + 37. Let g(q) be the second derivative of -5/21*q**4 + 0 + 1/5*q**i + 0*q**2 + 15*q - 4/21*q**3. Factor g(t).
4*t*(t - 1)*(7*t + 2)/7
Determine x, given that -485988 - 9*x**3 - 110760 - 1252097*x + 27493*x - 562964*x + 8025*x**2 = 0.
-1/3, 446
Let o(r) = r**3 + 6*r**2 - r - 4. Let w be o(-6). Suppose 13*d - 5484 - 6931 = 0. Factor 3*n**3 + 967*n - d*n - n**w - 11*n**2.
3*n*(n - 2)**2
Let n(m) be the first derivative of -m**6/120 - 13*m**5/60 - 35*m**4/24 + 49*m**3/6 + m**2 - 16*m - 9. Let x(y) be the second derivative of n(y). Factor x(o).
-(o - 1)*(o + 7)**2
Suppose -4*i + 2*r = 6, -1165*i = -1162*i + 5*r - 67. Find a such that 0 + a**3 + 2/3*a**2 + 1/3*a**i + 0*a = 0.
-2, -1, 0
Suppose 2*a - 42 = -4*a. Suppose -r + a = 1. Suppose 4 - 3*u**5 - 9*u + 6*u**3 + 15*u**2 - 1 + r*u**5 - 9*u**2 - 9*u**4 = 0. What is u?
-1, 1
Suppose -19*s + 1457 = -4*z, 5*z = -4*s + 199 + 172. Factor -6241/2 - s*l - 1/2*l**2.
-(l + 79)**2/2
Let l = 57 + -69. Let o be -4*(-6)/l*(-1 + 0). Factor -4 + 35*v**3 + 10 + 2 + 80*v**2 + o + 55*v.
5*(v + 1)**2*(7*v + 2)
Let v(z) = -54*z**2 - 258*z - 360. Let m(r) = r**3 + 163*r**2 + 775*r + 1077. Let s(w) = -3*m(w) - 8*v(w). What is a in s(a) = 0?
-13, -3
Let s = -75 + 82. Solve s + 12*w**2 - 13*w**2 + 6*w - 12*w = 0.
-7, 1
Let x(i) be the second derivative of -3*i**5/100 + 17*i**4/4 - 887*i**3/10 + 2409*i**2/10 - 497*i - 2. Factor x(d).
-3*(d - 73)*(d - 11)*(d - 1)/5
Let h(b) be the third derivative of -b**4/24 - 5*b**3/6 - 2*b**2 - 78*b. Let j be h(-7). Suppose 0 - 2/9*i**j + 2/9*i = 0. Calculate i.
0, 1
Suppose 20/3*y**4 - 335/3*y**2 - 980/3 + 5/6*y**5 - 115/6*y**3 + 1190/3*y = 0. Calculate y.
-7, 2
Let s(v) = -3*v**3 + 14*v**2 - 11*v + 80. Let m be s(5). Let i(y) be the third derivative of -1/18*y**5 + 0 + 8*y**2 - 1/9*y**4 + m*y + 1/9*y**3. Factor i(t).
-2*(t + 1)*(5*t - 1)/3
Let n be 742/(-3) - (-714)/(-102). Let r = n + 259. Suppose -8/3 + r*m - m**2 = 0. Calculate m.
2/3, 4
Let s(z) be the second derivative of z**6/120 + z**5/30 + z**4/24 + 63*z**2 - 37*z + 2. Let t(a) be the first derivative of s(a). What is k in t(k) = 0?
-1, 0
Let i(u) = 60*u**2 - 3636*u + 550827. Let a(q) = -27*q**2 + 1818*q - 275415. Let k(x) = -9*a(x) - 4*i(x). Factor k(t).
3*(t - 303)**2
Let s = 2503 + -2503. Let b(t) be the first derivative of 19 - 1/5*t**4 + 0*t + s*t**2 + 0*t**3. Let b(r) = 0. What is r?
0
Let o be (-8)/(-18) - (-1750)/(-7875). Find j such that 4/3*j**2 + o*j**3 + 16/9*j + 0 = 0.
-4, -2, 0
Let m = -367 - -362. Let q be 4 - (m + 632/72). Determine z, given that q*z**2 + 4/9 + 2/3*z = 0.
-2, -1
Let w(f) be the second derivative of 6*f - 35/3*f**4 + 1/2*f**6 - 6 + 10*f**5 + 0*f**3 + 0*f**2. Suppose w(y) = 0. What is y?
-14, 0, 2/3
Let i(p) be the third derivative of -p**5/330 + 166*p**4/11 - 330672*p**3/11 + 120*p**2 - 1. Determine m, given that i(m) = 0.
996
Let d(r) be the second derivative of r**7/13860 - 2*r**6/495 - 73*r**4/6 + 27*r. Let x(v) be the third derivative of d(v). Factor x(z).
2*z*(z - 16)/11
Determine w so that 28*w**2 + 9 + 1/3*w**4 - 82/3*w - 10*w**3 = 0.
1, 27
Let w(c) be the second derivative of 3*c**7/98 + 4*c**6/5 + 843*c**5/140 + 128*c**4/7 + 114*c**3/7 - 216*c**2/7 + 2678*c. Let w(v) = 0. What is v?
-12, -3, -2, 1/3
Let a = 1287 - 698. Let k = a + -587. What is t in -46/3*t**k + 2/3 - 8*t**3 + 5/3*t = 0?
-2, -1/6, 1/4
Let m(r) be the second derivative of -17*r**3 + 0 - 1/6*r**4 + 286*r + 52*r**2. Suppose m(k) = 0. Calculate k.
-52, 1
Let r be (-3)/2*(-20 - -18). Suppose -60*s**2 - 2*s**r - 83406 + 99*s + 83406 - 37*s = 0. Calculate s.
-31, 0, 1
Solve -5 - 104*d**3 - 116*d**2 + 180*d + 158*d**4 + 36*d + 5 - 154*d**4 = 0.
-2, 0, 1, 27
Factor -8/9 - 208/9*q - 1058/9*q**5 - 3734/9*q**3 - 3358/9*q**4 - 1634/9*q**2.
-2*(q + 1)**3*(23*q + 2)**2/9
Let -11*z**3 + 59/3*z**2 + 9/2 + 5/2*z**4 - 31/2*z - 1/6*z**5 = 0. Calculate z.
1, 3, 9
Let o = -5331 + 5333. Let m(b) be the second derivative of 1/20*b**5 - 7/6*b**3 - 2*b**o + b + 0 - 1/6*b**4. Let m(c) = 0. Calculate c.
-1, 4
Suppose 2409*t + 419*t - 6998 = 1119*t - 1790*t. Factor -263/9*y - y**t - 58/9.
-(y + 29)*(9*y + 2)/9
Suppose 3*t - 309 - 45 = 3*m, 4*t - 2*m = 466. Factor -10*k - 51*k**3 + 95*k**2 - 5*k + 9*k - 18*k + t*k**2.
-3*k*(k - 4)*(17*k - 2)
Find y such that 2065*y**3 - 48*y**2 - 2069*y**3 + 125 - 125 - 44*y = 0.
-11, -1, 0
Determine o so that 101581*o**3 + 432*o**2 + 101574*o**3 + 432*o - 3*o**4 - 203158*o**3 = 0.
-12, -1, 0, 12
Let r(h) be the first derivative of -2*h**7/945 + h**6/270 + 2*h**5/135 + 36*h**2 + 76. Let k(v) be the second derivative of r(v). Find o such that k(o) = 0.
-1, 0, 2
Let q(a) = 3*a**3 + 24*a**2 - 13*a. Let d = -266 - -273. Let r(y) = y**3 + 13*y**2 - 6*y. Let i(n) = d*r(n) - 4*q(n). Factor i(m).
-5*m*(m - 1)*(m + 2)
Solve 4/7*x**4 + 0*x + 56*x**2 + 786/7*x**3 + 0 = 0.
-196, -1/2, 0
Solve -270*w**3 + 20*w**4 + 11*w**2 + 20*w**4 - 130*w + 44*w**2 + 340*w**3 - 35*w**4 = 0 for w.
-13, -2, 0, 1
Let x be (-60)/(-18) - 235/75. Factor -1/10 + x*a - 1/10*a**2.
-(a - 1)**2/10
Factor -230/19*i + 2/19*i**2 - 1708/19.
2*(i - 122)*(i + 7)/19
Let z(m) be the second derivative of 0*m**2 - 1/20*m**5 + 1/330*m**6 + 0 - 1/132*m**4 + 94*m + 1/6*m**3. Determine h so that z(h) = 0.
-1, 0, 1, 11
Let p(y) be the first derivative of y**5/5 + y**4/2 + y**3/3 + y**2/2 - y + 80. Let s(n) = 5*n**4 + 6*n**2 + 84*n - 79. Let v(u) = 4*p(u) - s(u). Factor v(k).
-(k - 5)**2*(k - 1)*(k + 3)
Let h(f) = f**2 - 3*f - 3. Let d(q) = q**2. Let u(y) = 4*d(y) - h(y). Let m be u(-2). Suppose -m*i**3 + 4*i**2 + 7*i**3 - 4*i + 4*i - 2*i = 0. What is i?
0, 1
Let s(n) = -5*n**2 - 50*n + 215. Let h(l) = -l**2 + 3*l + 2. Let i(k) = -10*h(k) + s(k). Factor i(z).
5*(z - 13)*(z - 3)
Suppose -5*y**5 - 291 + 460*y**2 - 4130*y**4 - 349 + 8*y**3 + 4085*y**4 - 240*y + 12*y**3 = 0. What is y?
-8, -4, -1, 2
Let l(n) be the second derivative of 21*n**5/20 - 391*n**4/2 - 112*n**3 - 796*n. Let l(t) = 0. Calculate t.
-2/7, 0, 112
Factor 1606*r**2 + 1628*r**2 + 104*r - 3238*r**2.
-4*r*(r - 26)
Let v be (-60)/160 - (-507)/72 - (0 - (-18)/3). Factor -16*j + 0 + v*j**3 + 4/3*j**2.
2*j*(j - 4)*(j + 6)/3
Factor q**2 + 0 + 1/5*q**3 - 24/5*q.
q*(q - 3)*(q + 8)/5
Factor 24*o**2 + 280*o - 208 - 76*o - 13*o**2 - 7*o**2.
4*(o - 1)*(o + 52)
Suppose -4569*f**2 + 6*f**3 - 2622 + 5279*f + 342 - 1053*f + 2617*f = 0. What is f?
1/2, 1, 760
Let w(r) be the third derivative of 146*r**5/45 + 77*r**4/18 + 4*r**3/9 + 2792*r**2. Factor w(p).
4*(2*p + 1)*(73*p + 2)/3
Let q(z) be the second derivative of 2 - 11/60*z**3 - 1/200*z**5 + 3/40*z**4 + 1/5*z**2 - 1/300*z**6 - 3*z. Factor q(j).
-(j - 1)**3*(j + 4)/10
Let x = -493 + 510. What is v in -9*v - v**5 + 10*v**3 + 15 - x - 16 + 20*v**2 - 2*v**4 = 0?
-3, -2, -1, 1, 3
Let k(a) be the third derivative of -88*a**2 + 13/90*a**5 + 0*a - 1/540*a**6 + 2197/27*a**3 + 0 - 169/36*a**4. Factor k(z).
-2*(z - 13)**3/9
Let t(v) = 2*v**2 - 14*v + 5. Let a be t(6). Let q be 3 - 3/4*(-4)/a. What is o in -15/7*o - q + 3/7*o**2 = 0?
-1, 6
Let m(h) be the third derivative of -h**8/56 - 71*h**7/210 + 7*h**6/60 + 2*h**5/5 - 780*h**2. Solve m(t) = 0.
-12, -1/2, 0, 2/3
Let j = -571 - 381. Let f = j + 955. Factor 10/7*n - 6/7*n**f + 16/7*n**2 - 12/7.
-2*(n - 3)*(n + 1)*(3*n - 2)/7
Suppose -4*l + 15 = 5*h, 4*h - l - 9 = h. Factor -54*c**2 - h*c**4 - 14*c - 10*c - 10*c**4 + 18*c**2 - 18*c**3 + 10*c**4.
-3*c*(c + 2)**3
Suppose 0*l + 7/2*l**3 + 4*l**2 - 1/2*l