(x - 1)*(5*x + 2)
Suppose -5*m = -0*m - 80. Let j(n) = n**2 - 15*n - 13. Let r be j(m). Let -14*h - 3*h**2 - 2*h**2 + 9*h**r + 4*h - 4*h**3 = 0. Calculate h.
-1, 0, 2
Let o(f) = -337*f - 332. Let q be o(-1). Let l(z) be the third derivative of 0*z + 0 + 1/195*z**q + 5/156*z**4 - 1/13*z**3 - 26*z**2. Let l(a) = 0. Calculate a.
-3, 1/2
Let f(u) = 6*u**3 - 74*u**2 + 376*u - 398. Let b(h) = -8*h**3 + h**2 + 3*h + 1. Let w(z) = 2*b(z) + f(z). Factor w(y).
-2*(y - 2)*(y + 11)*(5*y - 9)
Find o, given that 4*o**3 + 2*o**2 - 4*o + 3*o + 6*o**2 - 2 + 3*o**3 + 2*o**4 - 2*o**2 = 0.
-2, -1, 1/2
Let j(g) = -323*g - 37789. Let f be j(-117). Factor -1/2*z**4 + z**3 - z + 2*z**f - 3/2.
-(z - 3)*(z - 1)*(z + 1)**2/2
Suppose b - 2 = c, -c = 4*b + 2233 - 2251. Factor 40/13*k + 0 - 2/13*k**3 - 16/13*k**c.
-2*k*(k - 2)*(k + 10)/13
Suppose 2*b = 5*y - 172, -y = -b - 13 - 19. Find i such that -47*i**3 + 5*i**4 + 20*i**3 - 169*i**2 - y*i + 219*i**2 + 8 = 0.
2/5, 1, 2
Let b(v) be the first derivative of -5*v**2 - 117 + 0*v - 16/9*v**3 - 1/6*v**4. Determine u so that b(u) = 0.
-5, -3, 0
Let m(f) be the third derivative of f**5/90 + 151*f**4/12 - 1828*f**3/9 - 4820*f**2. Factor m(z).
2*(z - 4)*(z + 457)/3
Suppose -4/7*n**2 - 2812/7*n + 0 = 0. Calculate n.
-703, 0
Determine f so that 0 + 84*f**2 - 3/2*f**3 - 1176*f = 0.
0, 28
Let n(m) = -m + 41. Let x be n(17). Let z = x - 15. Solve -4 - 2*k**3 - 8*k**2 + 2*k**2 + 3*k**3 + 0*k + z*k = 0 for k.
1, 4
Let v(b) be the third derivative of 0 + 1/420*b**6 + 2/7*b**4 + 41/210*b**5 + 4/21*b**3 - 25/1176*b**8 + 2*b**2 - 3/49*b**7 + 16*b. Let v(p) = 0. What is p?
-1, -2/5, 1
Factor 5636*b**2 - 991*b - 11393*b**2 - 40*b**4 - 351*b**3 + 4801*b**2 + 179*b - b**5.
-b*(b + 2)**2*(b + 7)*(b + 29)
Let h be 1/(3/3) + 17 + -16. Find n such that n**2 - 10 + 43*n - 2*n**h - 20*n - 34*n = 0.
-10, -1
Let w be (-4)/(-10) + 19/(494/52). Solve w*r - 3/5*r**2 + 0 = 0.
0, 4
Suppose 10*l + 45 = 65. Solve 3*i - 3*i**l - 21 - 24*i - 3*i = 0.
-7, -1
Let g(z) be the first derivative of -1/3*z**3 - 1/18*z**4 + 4/3*z**2 - 28 - 37*z. Let i(n) be the first derivative of g(n). Find m, given that i(m) = 0.
-4, 1
Let v(a) = 1. Let t(k) = -2*k**2 + 38*k - 9. Let i be -8 + (-18)/(-3) + 4. Let u(z) = i*t(z) + 18*v(z). What is m in u(m) = 0?
0, 19
Let z be (-200)/150*(36/(-14) + 0). Factor 2*p**4 - z*p**3 + 0 + 4/7*p + 6/7*p**2.
2*p*(p - 1)**2*(7*p + 2)/7
Factor 1694 - 851 - 19*v**5 - 26640*v**3 - 843 + 14*v**5 + 25920*v**2 + 725*v**4.
-5*v**2*(v - 72)**2*(v - 1)
Let v(t) be the third derivative of t**6/200 + 41*t**5/100 + 9*t**4/2 + 285*t**2 - 2*t. Factor v(x).
3*x*(x + 5)*(x + 36)/5
Let j(u) be the first derivative of 18/7*u**2 + 81/7*u + 208 + 1/7*u**3. Factor j(o).
3*(o + 3)*(o + 9)/7
Let c(z) be the first derivative of -z**3/8 - 303*z**2/2 - 61206*z + 1517. Factor c(s).
-3*(s + 404)**2/8
Find x such that -64/3*x**3 - 622/3*x**2 - 392 - 2/3*x**4 - 1736/3*x = 0.
-14, -3, -1
Suppose -4 = 5*d - 3*r - 51, 4*d + 4*r = 12. Suppose 28 = -3*z + d*z. Factor -3*x**4 + z*x - 6*x**3 - 57 + 48 - x + 12*x**2.
-3*(x - 1)**2*(x + 1)*(x + 3)
Let m(k) = 31952018*k**2 + 31976*k - 304. Let r(g) = -95856054*g**2 - 95928*g + 1016. Let x(a) = -10*m(a) - 3*r(a). Factor x(n).
-2*(3997*n + 2)**2
Suppose -25*c + 33*c = 0. Let a be 1*((-5)/5 - c) + 3. Determine w so that 1/2*w + 1/4*w**a + 0 = 0.
-2, 0
Determine c, given that 2643/2*c**2 - 1/2*c**3 - 872520*c - 873842 = 0.
-1, 1322
Let v(x) = -16*x + 344. Let u(a) = -15*a + 345. Let m(o) = 4*u(o) - 6*v(o). Let c be m(19). Determine f, given that -4/11*f + 2/11*f**2 + c = 0.
0, 2
Find i, given that -189/2*i**3 + 3/2*i**5 + 0*i**2 + 0*i + 0 + 93*i**4 = 0.
-63, 0, 1
Let a = -165 - -170. Solve 26*d**5 + 9*d**3 + 12*d**4 - 86*d**a + 29*d**5 - 30*d**2 - 24*d + 28*d**5 = 0 for d.
-1, 0, 2, 4
Suppose -97*v = -134*v + 51 + 60. Solve 4/5*f - 2/5*f**v - 2/5*f**2 + 0 = 0.
-2, 0, 1
Suppose -5*a = 7*a - 24. Suppose -576 + w + w**a + 289 + 288 - 2*w**2 - w**3 = 0. What is w?
-1, 1
Let g(m) be the third derivative of 121*m**6/40 + 99*m**5/2 - 525*m**4/2 + 500*m**3 - m**2 + 2093*m. Factor g(v).
3*(v + 10)*(11*v - 10)**2
Let a(r) be the second derivative of r**6/240 + 73*r**5/80 + 107*r**4/24 - 73*r**3/24 - 429*r**2/16 - 2937*r. What is h in a(h) = 0?
-143, -3, -1, 1
Let v(s) be the third derivative of -2 - 5*s**2 + 5/3*s**4 + 3/5*s**5 - 1/30*s**6 + 0*s**3 + 0*s. Factor v(u).
-4*u*(u - 10)*(u + 1)
Suppose -115 = b + 3*x - 141, 4*b = 4*x - 24. Determine f so that 25/9*f - 125/9 - 1/9*f**3 + 5/9*f**b = 0.
-5, 5
Let c(p) be the first derivative of 40*p**3/3 - 982*p**2 + 196*p + 2401. What is t in c(t) = 0?
1/10, 49
Let s(c) = 17*c - 164. Let u be s(10). Suppose -13 + 16 - u*z - 2*z + 3*z**2 + 2*z = 0. Calculate z.
1
Let a(g) be the first derivative of -3*g**4/32 + g**3/4 + 357*g**2/16 - 441*g/2 + 7369. Let a(c) = 0. What is c?
-12, 7
Let w = -860742 - -9474634/11. Let l = w + -586. Factor 8/11*p**2 - l*p + 6/11.
2*(p - 3)*(4*p - 1)/11
Suppose -99*k + 98*k + 5*h - 21 = 0, h + 11 = 4*k. Solve k - 2*j**2 - 1/4*j**5 + 2*j**3 - 4*j + 1/4*j**4 = 0 for j.
-2, 1, 2
Let m(f) = -2*f**3 + 112*f**2 + 1560*f - 3616. Let y(z) = -3*z**3 + 225*z**2 + 3120*z - 7228. Let x(u) = 7*m(u) - 4*y(u). Solve x(a) = 0 for a.
-30, 2
Factor -464874 + 1266*r - 8*r**2 + 2934*r - 86376.
-2*(2*r - 525)**2
Let d = -1076 - -1565. Let t = -486 + d. Factor -1/2 - 1/4*v + 1/4*v**t - 1/4*v**4 + 3/4*v**2.
-(v - 2)*(v - 1)*(v + 1)**2/4
Suppose h = 3 - 4. Let y be (6/(-8))/(h/8*3). Factor 2*x**y + x + 9*x**3 - x**3 - 3*x**3 - 4*x**3.
x*(x + 1)**2
Let q(z) be the first derivative of 0*z**4 - 1/180*z**6 - 2*z**2 + 4/9*z**3 - 1/30*z**5 + 0*z + 12. Let n(r) be the second derivative of q(r). Factor n(x).
-2*(x - 1)*(x + 2)**2/3
Let a(h) = 21*h - 185. Suppose -181*p = -185*p + 36. Let t be a(p). Let 27/5 + 18/5*w**3 + 6*w**2 - 3/5*w**5 - 9/5*w**t - 63/5*w = 0. What is w?
-3, 1
Let j(d) = d**3 - 26*d**2 - 35*d + 100. Let l(k) = -2*k**3 + 51*k**2 + 62*k - 201. Let n(z) = 9*j(z) + 4*l(z). Factor n(w).
(w - 32)*(w - 1)*(w + 3)
Let k = -115689 + 115691. Suppose -19/8*o + 11/8*o**k + 9/8 - 1/8*o**3 = 0. What is o?
1, 9
Suppose 14*b = 10*b + 5*y + 705, 15 = -3*y. Let f = b + -653/4. Find i, given that 9/2*i - 3/4*i**2 - f = 0.
3
Let q(v) = 2*v**2 + 6*v + 7. Let f be q(-2). Solve 204*s - 25*s**f - 401*s + 5*s**5 + 217*s = 0.
-2, -1, 0, 1, 2
Let c(i) be the second derivative of -i**4/102 - 23*i**3/51 + 201*i - 4. Determine h so that c(h) = 0.
-23, 0
Let z(w) be the second derivative of -w + 24*w**2 - 11/3*w**3 - 67 - 1/12*w**4. Factor z(f).
-(f - 2)*(f + 24)
Let z(p) be the third derivative of p**9/75600 - p**8/30240 - p**7/37800 + 19*p**5/5 + 6*p**2 - 2*p. Let u(o) be the third derivative of z(o). Factor u(w).
2*w*(w - 1)*(6*w + 1)/15
Let a = 18 + -27. Let r be 3/a - ((-32)/6 + 0). Factor -13*l**4 + 9*l**4 + 2*l**r + 2*l**5 - 8*l**3.
4*l**3*(l - 2)*(l + 1)
Let u(l) be the third derivative of -17/45*l**5 - 1/504*l**8 + 1/60*l**6 + 4/315*l**7 + 0 + 13/9*l**4 + l**2 - 85*l - 8/3*l**3. Suppose u(i) = 0. What is i?
-3, 1, 2
Suppose -3/2*t**3 - 18 + 6*t + 9/2*t**2 = 0. Calculate t.
-2, 2, 3
Let c = 1039 + -1022. Suppose -c*y = -21*y. Solve 4/5*d**2 + y - 4/5*d**4 + 8/5*d**3 - 8/5*d = 0 for d.
-1, 0, 1, 2
Let r = -1437587/120 + 11980. Let v(x) be the second derivative of -3/80*x**5 - 15*x + 0*x**2 - 1/42*x**7 + 0 + 0*x**4 - r*x**6 + 0*x**3. Factor v(b).
-b**3*(b + 3)*(4*b + 1)/4
Solve 9*p**2 - 7*p**2 - 1392 + 412 - 6*p**2 + 311*p - 1295*p = 0.
-245, -1
Determine a so that -3520*a + 2089*a**3 + 5*a**4 - 348*a**2 - 212*a**2 - 2064*a**3 = 0.
-8, 0, 11
Let p(x) be the third derivative of x**5/150 - x**4/12 - 418*x**3/5 - 12071*x**2. Factor p(v).
2*(v - 38)*(v + 33)/5
Let i = 35404 - 35403. Let d(b) be the second derivative of 4*b + 17/66*b**4 + 3/110*b**5 - i + 0*b**2 - 2/11*b**3. Suppose d(r) = 0. Calculate r.
-6, 0, 1/3
Let o(i) = 3*i + 36. Let y be o(-11). Suppose 5*n - 20 = -h, -y*n + h + h = 1. Factor 64 - 4*b - 52 - n*b + b**2.
(b - 4)*(b - 3)
Find y such that 68*y**2 - 1792*y + 5359*y - 1787*y - 1796*y + 23*y**3 + 15*y**3 = 0.
-2, 0, 4/19
Let a be 1 - 4/(-8)*6. Let x(p) = 10*p + 104. Let f be x(-10). Factor -o**a - o**4 - 895*o**3 + 889*o**3 - f*o**2.
-2*o**2*(o + 1)*(o + 2)
Solve -1853*x + 614*x - 2*x**4 + 615*x 