/(-1). Solve 1605 - 1605 + 9*z**2 + 6*z - i*z**w = 0 for z.
-1/2, 0, 2
Let j(z) be the third derivative of -5*z**7/168 + 7*z**6/18 + z**5/2 + 23*z**3/2 - 11*z**2 + 1. Let a(v) be the first derivative of j(v). Factor a(p).
-5*p*(p - 6)*(5*p + 2)
Let c = 89101 - 267299/3. Suppose -c + 0*b**3 + 4/9*b**4 - 8/3*b**2 + 32/9*b = 0. Calculate b.
-3, 1
Let l(v) = 95*v**4 + 70*v**3 + 1135*v**2 - 220*v - 1230. Let t(a) = -3*a**4 + 4*a**3 + 2*a**2 + a + 1. Let c(w) = l(w) + 30*t(w). Suppose c(s) = 0. Calculate s.
-30, -8, -1, 1
Let l(j) be the first derivative of j**4/12 - 8*j**3/9 - 10*j**2/3 + 1326. Factor l(m).
m*(m - 10)*(m + 2)/3
Let g = 594 - 605. Let a be (g - (-175)/14)/3. Factor a*y**3 + 1/4*y - 1/2 + 5/4*y**2.
(y + 1)*(y + 2)*(2*y - 1)/4
Let o(x) = 6*x - 6*x + 2 + 4*x. Let u be o(1). Factor 2*c**3 + 8*c - 3*c - c + 2*c - 2 - u*c**2.
2*(c - 1)**3
Let x = 71032/7 + -10147. Let a(z) be the first derivative of 8/21*z**3 + 8 + 0*z - 1/21*z**6 + x*z**2 - 1/7*z**4 - 8/35*z**5. Find u, given that a(u) = 0.
-3, -1, 0, 1
Let s be (14 - (-2 - -10))*3/18*3. Let z(p) be the third derivative of -7/12*p**4 + 0*p + 2*p**s + 1/5*p**6 + 0 - 11/30*p**5 - 29*p**2. Factor z(w).
2*(w - 1)*(3*w - 2)*(4*w + 3)
Let s(c) = 26*c + 262. Let w be s(-10). Let o(f) be the first derivative of 0*f - 1/9*f**w - 2/27*f**3 + 10. Suppose o(k) = 0. What is k?
-1, 0
Suppose 3*b = 2*g + 6*b - 1, -1 = -g - b. Let m = -16 + 26. Factor -551 - 9*w**3 + 547 - w**3 + m*w + 4*w**g.
-2*(w - 1)*(w + 1)*(5*w - 2)
Let t(q) be the second derivative of -7/108*q**4 + 4/9*q**2 + 1/9*q**3 - 23*q - 1/270*q**6 + 1 - 1/30*q**5. What is x in t(x) = 0?
-4, -2, -1, 1
Let r(f) = -2*f - 3. Let x(m) = -2*m**2 + 104*m + 102. Let d(l) = 4*r(l) - x(l). Determine k, given that d(k) = 0.
-1, 57
Suppose 4*y - b - 1 = 0, 3*y - 64*b = -60*b + 17. Let a be ((-1 - y)/(-2))/(29 + -26). What is z in -z**2 + 9/4*z**4 + 0 + 4*z**3 + a*z = 0?
-2, 0, 2/9
Let d(q) be the first derivative of -25*q**6/3 - 1617*q**5/10 - 885*q**4/4 - 223*q**3/6 + 15*q**2/2 + 5624. Suppose d(b) = 0. What is b?
-15, -1, -1/4, 0, 2/25
Let s = 9763/6 + -1627. Let y(q) be the second derivative of s*q**2 - 1/36*q**4 + 0 + 0*q**3 - 16*q. What is l in y(l) = 0?
-1, 1
Let m(g) = g**4 + 2*g. Let w(s) = -2*s**5 + 72*s**4 - 668*s**3 + 2504*s**2 - 3234*s + 1352. Let j(r) = 8*m(r) - w(r). Suppose j(h) = 0. Calculate h.
1, 4, 13
Suppose 0 = 13*x - 6*x + 1295. Let t be (-2442)/x - (-4)/(-10). Factor 16/5 - 4/5*b**5 + 28/5*b**4 + 20*b**2 - t*b - 76/5*b**3.
-4*(b - 2)**2*(b - 1)**3/5
Let r be -4 + 74 + 2 + -2 + -3. Suppose -r*p**3 + 3*p - 92*p**3 - 16*p**3 - 5*p**5 + 125*p**2 - 3*p + 55*p**4 = 0. Calculate p.
0, 1, 5
Factor 4*j**3 - 23656*j**2 - 36*j + 47317*j**2 - 23652*j**2 - j**4.
-j*(j - 4)*(j - 3)*(j + 3)
Solve -130*f**2 - 1844*f - 11*f**2 - 1834*f + 3538*f - f**3 = 0 for f.
-140, -1, 0
Let m(o) = -o**2 - 2. Let f(l) = -10*l**2 + 770*l + 3024. Let q(s) = -f(s) + 12*m(s). Factor q(h).
-2*(h + 4)*(h + 381)
Let i(g) = g**2 - 5*g + 4. Let o be i(5). Suppose -5*l = -o*x + 7, x = -3*l + 7 - 1. Factor -13*q + 4*q**4 - 47*q**2 + 79*q**2 - 3*q - 20*q**x.
4*q*(q - 2)**2*(q - 1)
Solve 0 - 5/2*s**2 + 5/2*s**4 + 55/6*s**3 - 28/3*s + 1/6*s**5 = 0 for s.
-8, -7, -1, 0, 1
Let s(y) be the third derivative of -y**5/60 + 545*y**4/6 + 727*y**3/2 + 85*y**2 + 14*y + 1. Let s(o) = 0. What is o?
-1, 2181
Let a(n) be the third derivative of n**5/90 - 13*n**4/84 + 766*n**2. Factor a(v).
2*v*(7*v - 39)/21
Let q(h) be the third derivative of 2*h**7/945 - 82*h**6/15 + 30258*h**5/5 - 3721734*h**4 + 1373319846*h**3 - 1206*h**2. Factor q(m).
4*(m - 369)**4/9
Determine h, given that 9*h**3 - 36*h - 51*h**2 + 3/4*h**4 + 192 = 0.
-16, -2, 2, 4
Let v(f) be the first derivative of -1/3*f**4 - 4*f**2 - 2*f**3 - 52*f - 29. Let w(x) be the first derivative of v(x). Solve w(r) = 0.
-2, -1
Let u(h) = 4*h**2 - 68*h + 240. Let m(r) = -r**3 - 13*r**2 + 28*r - 31. Let n be m(-15). Let z(l) = -l - 4. Let k(s) = n*u(s) + 4*z(s). Factor k(c).
-4*(c - 8)**2
Let f = -212 + 214. Let i(k) = k**3 - 10*k**2 + 18*k - 2. Let m be i(f). Solve 0 - 2/17*v + 2/17*v**m = 0 for v.
0, 1
Find s, given that -328/7*s - 2/7*s**2 + 664/7 = 0.
-166, 2
Let h(p) be the second derivative of 2*p**6/15 - 7*p**5 + 1417*p**4/12 - 560*p**3 + 1152*p**2 + 6*p - 23. Factor h(b).
(b - 16)**2*(2*b - 3)**2
Let g(u) be the third derivative of -u**6/840 - 50*u**5/7 - 125000*u**4/7 - 500000000*u**3/21 - 288*u**2. Factor g(d).
-(d + 1000)**3/7
Suppose 29*u = -8*u + 629. Suppose 0 = -u*o + 50 + 1. Suppose -4/7*z - 2/7*z**5 + 2*z**2 + 10/7*z**4 + 0 - 18/7*z**o = 0. Calculate z.
0, 1, 2
Determine l, given that -28/5*l**3 + 0*l + 16/5*l**4 + 0 - 8*l**2 + 4/5*l**5 = 0.
-5, -1, 0, 2
Let y(m) be the second derivative of m**5/4 + 5*m**4/3 - 145*m**3/6 + 60*m**2 + 231*m - 3. Factor y(b).
5*(b - 3)*(b - 1)*(b + 8)
Suppose 6564*n**2 - 3485*n**3 - 580*n**4 - 308*n**2 + 2414*n**2 - 40 - 4565*n = 0. What is n?
-8, -1/116, 1
Suppose -k + 21 = -11. Suppose -3*y + 33 = -i - k, 5*y = -3*i + 99. Factor -23*x**3 - 29*x**3 - 18 - 8*x**2 - y*x + 51*x**3.
-(x + 2)*(x + 3)**2
Suppose 0 = -4*x, 15*x = 4*o - 12*x + 31*x. Factor 8/13 + o*w - 2/13*w**2.
-2*(w - 2)*(w + 2)/13
Solve 1024/3 + 9376/3*f**2 + 620/3*f**4 + 25/3*f**5 + 5696/3*f + 4084/3*f**3 = 0 for f.
-16, -4, -2/5
Let q(k) = -26*k**3 - 572*k**2 - 14380*k - 13804. Let u(v) = 18*v**3 + 381*v**2 + 9586*v + 9202. Let p(s) = 7*q(s) + 10*u(s). Solve p(x) = 0.
-48, -1
Let o = -228 + 231. Factor -24 + 12*w**2 - 2*w - 8*w**o + 14 - 2*w**4 + 10*w.
-2*(w - 1)**2*(w + 1)*(w + 5)
Let s(b) be the third derivative of 3*b + 13/70*b**7 + 6/5*b**6 + 9/5*b**5 + 0 + 0*b**4 + 1/112*b**8 + 18*b**2 + 0*b**3. Determine w so that s(w) = 0.
-6, -1, 0
Let a(p) be the second derivative of p**6/210 - p**5/21 + p**4/14 + 6*p**3/7 + 51*p**2 + 250*p. Let g(i) be the first derivative of a(i). Factor g(b).
4*(b - 3)**2*(b + 1)/7
Suppose -783/7*u**2 + 3/7*u**3 + 50697/7*u + 51483/7 = 0. Calculate u.
-1, 131
Let h(s) be the second derivative of 0 - 5/12*s**5 + 55/18*s**4 - 12*s - 115/18*s**3 + 5*s**2. Suppose h(r) = 0. What is r?
2/5, 1, 3
Factor 5/3*k + 50/3 + 11/3*k**3 - 11*k**2 - 1/3*k**4.
-(k - 5)**2*(k - 2)*(k + 1)/3
Let i(x) be the third derivative of x**5/100 + 11*x**4/8 + 147*x**3/5 - 286*x**2 - 1. Factor i(b).
3*(b + 6)*(b + 49)/5
Let g(m) be the first derivative of 3*m**4/8 - 35*m**3 + 384*m**2 - 1488*m + 5720. Suppose g(s) = 0. What is s?
4, 62
Let t(s) = -40*s - 356. Let q be t(-9). Let n = -2708 - -2712. Find h, given that 0*h + 4/3*h**2 + 0 + h**q - 5/3*h**5 + n*h**3 = 0.
-1, -2/5, 0, 2
Let x be (36/(-42))/(17 - 1210/70). Find q, given that 3*q - 3/2 - 7/6*q**4 - x*q**3 + 8/3*q**2 = 0.
-3, -1, 3/7, 1
Let a(l) = -l**4 - 2*l**2 + 2*l - 1. Let j(s) = -12*s**4 - 5*s**3 - 31*s**2 + 15*s - 13. Let c = -130 + 86. Let r(v) = c*a(v) + 4*j(v). Factor r(w).
-4*(w + 1)**3*(w + 2)
Let f(c) = -c**3 - 10*c**2 - 2*c + 23. Let w be f(-7). Let z = 300 - w. Determine u so that 81 + 195*u**2 + 86*u - 192*u**3 - z*u + 237*u**2 = 0.
3/4
Let h be (212534/(-5170) - -41)*100/(-3). Factor 0 + h*u + 2/11*u**2.
2*u*(u + 20)/11
Let p(r) be the first derivative of -3*r**5/10 - 9*r**4 - 45*r**3/2 - 33*r**2/2 + 1109. Let p(b) = 0. Calculate b.
-22, -1, 0
What is i in 779*i - 114*i - 26797*i**2 + 26792*i**2 = 0?
0, 133
Let a be 820 - 826 - (2/(-5) + (-28)/5). Let o(s) be the first derivative of 0*s**2 - 1 + 0*s**3 + 2/3*s**4 + 4/15*s**5 + a*s. Factor o(d).
4*d**3*(d + 2)/3
Let c(z) be the second derivative of -z**5/5 + 65*z**4 - 258*z**3 + 386*z**2 + 496*z. Factor c(u).
-4*(u - 193)*(u - 1)**2
Let a = 417 - 292. Suppose -10*p + 5*p = -a. What is v in -82*v + 97*v + p - 5 - 5*v**2 = 0?
-1, 4
Let l(a) = -48 + 103 - 56 + a**2 + a**3 + 0*a**2 + 0*a**3 + a. Let f(b) = -3*b**3 - 43*b**2 + 107*b - 57. Let j(d) = f(d) - 2*l(d). Factor j(p).
-5*(p - 1)**2*(p + 11)
Let q = 34 + -31. Factor 824*f + 3*f**2 - q + 111 - 860*f.
3*(f - 6)**2
Factor 0 + 0*z + 344/5*z**3 - 2/5*z**4 - 136*z**2.
-2*z**2*(z - 170)*(z - 2)/5
Let z(q) = -4*q**2 + 2*q + 2. Suppose -22 = 6*p - 88. Suppose -p*r + 85 = -6*r. Let v(l) = 12*l**2 - 5*l - 7. Let b(t) = r*z(t) + 6*v(t). Factor b(u).
4*(u - 1)*(u + 2)
Suppose -4*j - 4*h = -36, 2*h + 65 = 5*j - 1. Let k = 25/2 - j. Factor 0*w - 1/6*w**3 + k*w*