) = 0.
1653
Suppose -365*a**3 + 32*a**4 + 256*a**3 - 196*a**4 + 417*a**3 + 199*a**2 + 4*a**5 - 312*a - 35*a**2 = 0. What is a?
-1, 0, 1, 2, 39
Let 941 - 941 - 65*o**3 - 1681*o**4 + 1684*o**4 + 42*o**2 = 0. Calculate o.
0, 2/3, 21
Let k(n) be the first derivative of 25*n**6/39 - 34*n**5/13 + 31*n**4/26 - 2*n**3/13 + 929. Factor k(s).
2*s**2*(s - 3)*(5*s - 1)**2/13
Let m be ((-14)/(-49))/(6/105). Let q be -6 + (4/m)/((-54)/(-495)). Factor 8/3*w**2 - 22/9*w - q + 10/9*w**3.
2*(w - 1)*(w + 3)*(5*w + 2)/9
Let h be 1857/8 - (-11)/(-88). Determine b, given that 1529*b**2 + 348*b**2 + 807*b**4 + 477*b + 105*b**5 + h*b**2 + 2091*b**3 + 108 + 351*b = 0.
-3, -1, -2/5, -2/7
Let f(h) be the first derivative of h**4/42 - 2126*h**3/63 + 40280*h**2/3 + 80864*h/3 + 1837. Suppose f(n) = 0. What is n?
-1, 532
Let 0 + 25/2*l**2 - 6*l - l**3 = 0. What is l?
0, 1/2, 12
Let s = -83/2 - -42. Suppose -43 - 50 = -31*n. Determine f, given that -3/2*f - 3/2*f**2 - 1/3 + s*f**4 + 1/6*f**n = 0.
-1, -1/3, 2
Suppose 5*h + 3*d = 5535, 1299 + 3166 = 4*h - 5*d. Let f = -5542/5 + h. Factor -8/5*x**2 - f + 4*x.
-4*(x - 2)*(2*x - 1)/5
Suppose 2 = 3*n - 58. Suppose n*s - 420 = 15*s. Factor -582 + 519*z - 790 - s*z**2 + 4*z**3 + 69*z.
4*(z - 7)**3
Let v(w) be the first derivative of -w**7/168 + 7*w**5/24 + 5*w**4/4 - w**3/3 + 85*w**2/2 - 9. Let j(n) be the third derivative of v(n). Factor j(f).
-5*(f - 3)*(f + 1)*(f + 2)
Let o be (-3)/(-33) + (-918)/(-187). Suppose -1 = o*c + 3*k - 14, 7 = 2*c + 3*k. Factor -4/5*v**5 + 12/5*v**3 + 0*v - 8/5*v**c + 0 + 0*v**4.
-4*v**2*(v - 1)**2*(v + 2)/5
Suppose 16*i - 1 = 143. Let -i*r**2 - 244 - 4*r**2 + 18*r**2 - 9*r**2 - 248*r = 0. What is r?
-61, -1
Suppose 13*j - 26 = -208. Let n(r) = 20*r**2 - 54*r - 14. Let m(y) = -3 - 11*y + 1 + 4*y**2 - 1. Let l(v) = j*m(v) + 3*n(v). Factor l(h).
4*h*(h - 2)
Factor -51/2*a**2 - 2*a**3 + 0 + 1/2*a**4 + 27*a.
a*(a - 9)*(a - 1)*(a + 6)/2
Suppose -73*l + 70 = -9*l - 29*l. Factor 1/2*s**3 - 11/2*s - 15/4 - 5/4*s**l.
(s - 5)*(s + 1)*(2*s + 3)/4
Let a(n) = n**2 - 14*n + 27. Let y be a(13). Suppose 10 = -y*c + 19*c. Factor 2 + 3*b - 3*b**2 + 3*b**2 + b**c + 0.
(b + 1)*(b + 2)
Let z(t) be the third derivative of -1/8*t**4 - 1/150*t**5 + 0*t + 0*t**3 + 1/600*t**6 + 2*t**2 + 41. Suppose z(n) = 0. Calculate n.
-3, 0, 5
Let u(p) be the first derivative of -p**3/36 - 11*p**2/8 - 50*p/3 + 1864. Find v such that u(v) = 0.
-25, -8
Let u(f) = -28*f**3 + 1496*f**2 - 32*f - 1396. Let m(s) = 10*s**3 - 499*s**2 + 11*s + 464. Let n(r) = 20*m(r) + 7*u(r). Factor n(c).
4*(c - 1)*(c + 1)*(c + 123)
Let f(x) be the first derivative of -x**4/2 - 44*x**3 - 129*x**2 - 128*x + 586. Factor f(t).
-2*(t + 1)**2*(t + 64)
Let i = -1505 - -2285. Let q be (-18)/(-10)*i/468. Factor -8/5*c + 1/5*c**q + 12/5 - 1/5*c**2.
(c - 2)**2*(c + 3)/5
Let d(n) be the third derivative of -223112*n**5/165 + 1670*n**4/33 - 25*n**3/33 - 126*n**2 - n + 7. Solve d(o) = 0.
5/668
Suppose 5*d - 196 = 3*d. Factor 202*v**3 + 5*v**2 - 109*v**3 - d*v**3 + 30*v.
-5*v*(v - 3)*(v + 2)
Let n(c) be the first derivative of -c**4/30 + 8*c**3/5 + c**2/15 - 24*c/5 + 2912. Find d, given that n(d) = 0.
-1, 1, 36
Factor -1/7*q**3 - 18*q + 0 + 27/7*q**2.
-q*(q - 21)*(q - 6)/7
Let p = -87 + 90. Factor 7 + p - 3*b**3 + 5*b**3 - 6 - 6*b.
2*(b - 1)**2*(b + 2)
Let x be (-88)/(-16)*(-2 - -4). Factor -19 + 26*l - x + 9 - 23 - 2*l**2.
-2*(l - 11)*(l - 2)
Let q be 2/(-3) + (-5)/(-45)*24. Factor q*i**2 + 762 - 921*i + 833*i + 206.
2*(i - 22)**2
Let a(n) be the third derivative of 0*n + 7/12*n**4 + 1/60*n**6 + 3*n**2 - 2 + 1/6*n**5 + n**3. Find y such that a(y) = 0.
-3, -1
Suppose -15*r - 5 = -7*z - 18*r, -3*r = 4*z + 1. Determine f so that -32/11 - 18/11*f**z - 48/11*f - 2/11*f**3 = 0.
-4, -1
Let l be ((-2)/3)/(8 + (-16379)/2046). Suppose 114*a = l*a - 20. Factor 3 - 23/2*j + 7/2*j**a.
(j - 3)*(7*j - 2)/2
Let v(k) be the third derivative of -1/4*k**5 - 47*k**2 - k + 5/48*k**4 + 5/2*k**3 + 0 - 1/48*k**6. Factor v(o).
-5*(o - 1)*(o + 1)*(o + 6)/2
Let t be ((-2)/(-1))/1 + (-57 - -61). Let a be ((-72)/(-252))/(4/t). Let 3/7*q**3 - 6/7 + 6/7*q**2 - a*q = 0. What is q?
-2, -1, 1
Let b be (-36)/27*(-18)/8. Let l = -2/73 + 77/146. Factor 0*w**2 + l + w - w**b - 1/2*w**4.
-(w - 1)*(w + 1)**3/2
Solve -4*h**2 - 9727*h**3 - 36*h**2 + 9725*h**3 = 0 for h.
-20, 0
Suppose 2*c - 34*g + 352 = -38*g, -5*c = g + 844. Let k be (-14)/c*(-27)/(-6). Factor -k*j**2 - 15/8*j - 3/2.
-3*(j + 1)*(j + 4)/8
Suppose r - 4*f = 165, 24*r - 2*f = 28*r - 624. Let c be (26 - 31 - r/(-8))*1. What is g in -21/8*g**4 - 3/4 + 97/8*g**3 + 47/8*g - c*g**2 = 0?
2/7, 1/3, 1, 3
Solve -22*g + 149 - 39*g + 16*g + 211 - 4*g + g**2 = 0 for g.
9, 40
Let o(q) = -q**2 - 21*q + 198. Let b(p) = -5*p**2 - 82*p + 793. Let f(v) = 2*b(v) - 9*o(v). Let y(m) = -m. Let g(k) = -4*f(k) + 12*y(k). Factor g(a).
4*(a - 14)**2
Suppose -4*o - 20 = 4*m, 41255*o - 4*m = 41252*o + 34. Factor -1/2*z**o + 15/2 - z.
-(z - 3)*(z + 5)/2
Suppose 0 = 4*l - 3*h - 3 - 24, -14 = -3*l + h. Let i be 0*5/(7 + l). Factor 4*o**3 + i + 0*o - 8/5*o**2.
4*o**2*(5*o - 2)/5
Suppose -420*x + 10*x**4 + 622*x + 27*x**3 - 1080*x**2 - 20*x**5 + 378*x**3 + 5*x**5 + 338*x = 0. Calculate x.
-6, 0, 2/3, 3
Determine h, given that -12*h**2 - 75*h**2 + 15*h**3 - 227*h**3 - 77*h**3 + 510*h - 122*h**3 - 12*h**4 = 0.
-34, -5/4, 0, 1
Suppose n = -k + 6, 2 = n - 2. Find c, given that 138*c**k + 118*c**2 + 4*c + 8 - 260*c**2 = 0.
-1, 2
Factor 4/5*l**2 + 58/5*l - 6.
2*(l + 15)*(2*l - 1)/5
Suppose 6 = -2*s - 34*q + 37*q, 2*s - 6 = -3*q. What is u in -2/3*u**2 + 26/3*u + s = 0?
0, 13
Let w be (-4)/21 - 25*(-5)/375. Factor -9/7 - w*b**2 - 10/7*b.
-(b + 1)*(b + 9)/7
Let k(a) be the second derivative of a**4/6 + 485*a**3/3 + 966*a**2 + 434*a. Solve k(b) = 0 for b.
-483, -2
Let h(r) be the third derivative of r**2 + 1/24*r**4 + 1/2*r**3 - 1/120*r**6 - 1/20*r**5 - 7*r + 0. Factor h(t).
-(t - 1)*(t + 1)*(t + 3)
Find p such that 1/7*p**5 + 8/7*p**2 - 3/7*p + 0 - 6/7*p**3 + 0*p**4 = 0.
-3, 0, 1
Suppose 0 = -22*t + 17 + 27. Factor 8*h**2 + 249 - 87 - 86 - t*h**4 - 4*h**3 - 82 + 4*h.
-2*(h - 1)**2*(h + 1)*(h + 3)
Let v = 403 - 403. Suppose 0 = 2*g - 7*g + 2*j + 11, v = 5*g - j - 13. Factor -2/13 + 2/13*u**5 + 2/13*u - 4/13*u**g - 2/13*u**4 + 4/13*u**2.
2*(u - 1)**3*(u + 1)**2/13
Let n(c) be the first derivative of 6*c**5/25 + 4*c**4 + 356*c**3/15 + 56*c**2 + 30*c - 1361. Let n(b) = 0. What is b?
-5, -3, -1/3
Let c(k) be the first derivative of -5*k**3 - 3/4*k**4 - 50 + 0*k + 9*k**2. Factor c(x).
-3*x*(x - 1)*(x + 6)
Let b = 20333/38130 + 1/12710. Solve -b + 2/15*t**3 - 14/15*t - 4/15*t**2 = 0 for t.
-1, 4
Let j = 748 + -5233/7. Let m(v) be the first derivative of 17 + 32/7*v + 2/35*v**5 + j*v**4 - 24/7*v**2 + 2/21*v**3. Factor m(n).
2*(n - 1)**2*(n + 4)**2/7
Let y(d) be the second derivative of -d**4/36 - d**3/6 + 9*d**2 - d - 36. Suppose y(h) = 0. Calculate h.
-9, 6
Let j be ((-4)/(-18))/(4/36). Suppose 4*l**3 - 52*l**3 + 5*l**4 + 7*l**4 + 63*l**2 - 33*l + j + 4 = 0. Calculate l.
1/2, 1, 2
Let b(n) be the second derivative of 0 - 3/7*n**2 - 53*n + 1/42*n**4 - 2/21*n**3. Factor b(q).
2*(q - 3)*(q + 1)/7
Let n(w) be the first derivative of 57*w**4 + 157 + 448/3*w**3 + 0*w + 72*w**2 + 4*w**5. Factor n(p).
4*p*(p + 2)*(p + 9)*(5*p + 2)
Let r(a) = -6*a**2 + 922*a - 110448. Let m(h) = 20*h**2 - 2757*h + 331343. Let g(v) = -2*m(v) - 7*r(v). Suppose g(u) = 0. Calculate u.
235
Let r(b) be the second derivative of -42875/6*b**2 + 0 + 138*b - 1/60*b**5 - 35/12*b**4 - 1225/6*b**3. Factor r(s).
-(s + 35)**3/3
Let c(x) = -5*x - 17. Let r(b) = b + 11. Let n be r(-15). Let u be c(n). Factor 0*a**u - 2*a**3 + 13 + 6*a - 17.
-2*(a - 1)**2*(a + 2)
Let p(i) be the first derivative of -3*i**4/16 + 2*i**3/3 - 3*i**2/8 - i/2 + 1974. Factor p(n).
-(n - 2)*(n - 1)*(3*n + 1)/4
Let q(o) = o**2 + 9*o. Let a(b) = -18*b**2 + 657*b + 32. Let y(n) = -a(n) + 2*q(n). Factor y(i).
(i - 32)*(20*i + 1)
Let x be (-3040)/(-1444) + 1/((-38)/4). Determine o, given that -15*o**2 + 42*o + 5*o**4 - 22*o**x + 7*o**2 - 15 - 2*o = 0.
-3, 1
Let v be -9 + (905 + -5)/9. Find o such that 80*o + 33*o**3 - 5*o**3 + 4*o**4 - 21*o**2 - v*o**2 = 0.
-10, 0, 1, 2
Let p(m) = -m**2 + 25*m - 55. Let l be p(8). Suppose -5*s + 162*s**3 - 76*s**3 - l*s**3 = 0. Calculate