 28/75*w**6 + 12/5*w**2 + 77/10*w**4 + 54*w - 92/15*w**3. Suppose b(s) = 0. Calculate s.
2/7, 1/2, 6
Factor -543*l - 4939*l + 325*l**2 - 4*l**3 + 847*l + 19035 - l**3.
-5*(l - 47)*(l - 9)**2
Let x(o) be the second derivative of -o**4/24 - o**3/4 + 7*o**2 + 3*o + 36. Factor x(z).
-(z - 4)*(z + 7)/2
Let z(t) = 4*t**2 - 56*t + 204. Let v(k) be the third derivative of 0*k + 0 - 4*k**2 + 1/6*k**3. Let n(o) = -8*v(o) + z(o). Factor n(h).
4*(h - 7)**2
Let n be 42/24*(17 + 7). Factor -44*h - n*h - 36*h - 25*h + 7*h + 4*h**2.
4*h*(h - 35)
Let t(r) be the first derivative of 4*r**3/3 + 58*r**2 - 1952. Factor t(z).
4*z*(z + 29)
Let n(k) = -8616*k + 51699. Let x be n(6). Let 0 - 4/3*o + 2*o**4 - 2*o**2 + 2/3*o**x + 2/3*o**5 = 0. What is o?
-2, -1, 0, 1
Let l(h) = -19*h**5 - 43*h**4 + 56*h**3 + 163*h**2 - 299*h + 115. Let x(d) = 2*d**5 - 2*d**4 + d**3 + 2*d**2 - d + 1. Let c(j) = -5*l(j) - 45*x(j). Factor c(r).
5*(r - 1)**3*(r + 2)*(r + 62)
Let y be 2/15 + 290/75. Let a(v) = 2*v**4 + 22*v**3 + 24*v**2 - 4*v + 4. Let g(i) = i**4 + 22*i**3 + 24*i**2 - 3*i + 3. Let q(c) = y*g(c) - 3*a(c). Factor q(r).
-2*r**2*(r - 12)*(r + 1)
Let v = -512 - -516. What is d in 16*d + 35*d**4 + 0*d**2 + d**2 + 12 + 34*d**4 - 4*d**3 + 30*d**4 - 100*d**v = 0?
-3, -2, -1, 2
Let i = 4 - 0. Suppose 6*v = 5*v + 14. What is m in -6*m**4 - 2*m**i + 1 + 2*m**3 + 12*m**3 - 5 + 12*m**2 - v*m = 0?
-1, -1/4, 1, 2
Suppose 3*m - 4*d + 76 = -31, 105 = -3*m + 3*d. Let o = 35 + m. Factor 4*v**2 - 7*v**2 + 8*v**o - 15*v.
5*v*(v - 3)
Let b be 406/174 - -2*1 - (-8)/(-6). Let p(z) be the first derivative of 1/6*z**4 + 16 + z**2 - 8/9*z**b + 0*z. Factor p(i).
2*i*(i - 3)*(i - 1)/3
Suppose -204/7*k + 1/7*k**5 - 473/7*k**2 + 0 - 333/7*k**3 - 9*k**4 = 0. Calculate k.
-3, -1, 0, 68
Let n(d) = d**5 - d**2 + d + 1. Let p(i) = 13*i**5 + 106*i**4 + 209*i**3 + 116*i**2 + 4*i - 6. Let h(y) = 5*n(y) - p(y). Suppose h(w) = 0. Calculate w.
-11, -1, -1/2, 1/4
Factor 3/2*n**2 - 288 - 573/2*n.
3*(n - 192)*(n + 1)/2
Suppose 4*z - q - q + 48 = 0, 0 = -4*q - 16. Let r be (2*32/z)/((-168)/196). Suppose -4/3 + 2*k + 2*k**3 + r*k**2 = 0. Calculate k.
-2, -1, 1/3
Let j(l) = l**2 + 220*l - 6394. Let n be j(26). Determine p, given that 51/7*p - 3*p**n - 18/7 = 0.
3/7, 2
Let v(q) be the third derivative of -q**6/36 - 38*q**5/45 - 64*q**4/9 + 256*q**3/9 - 1328*q**2 + 2. Factor v(d).
-2*(d + 8)**2*(5*d - 4)/3
Let c(d) be the first derivative of 5*d**8/112 - d**7/10 + d**6/20 - 116*d**2 - 259. Let t(y) be the second derivative of c(y). Determine p so that t(p) = 0.
0, 2/5, 1
Let x = 31147 - 31143. Let a(s) be the third derivative of 0*s**3 + 1/30*s**6 + 2/105*s**5 + 0*s + 31*s**2 + 0 + 2/245*s**7 + 0*s**x. Solve a(h) = 0.
-2, -1/3, 0
Let 4 + 2526*x + 74618461/2*x**3 + 531723*x**2 = 0. What is x?
-2/421
Let q(j) = -3*j**4 + 4*j**3 + 45*j**2 - 162*j - 786. Let a(c) = -4*c**4 + 3*c**3 + 44*c**2 - 159*c - 787. Let z(y) = 2*a(y) - 3*q(y). Factor z(s).
(s - 7)**2*(s + 4)**2
Let y be 15*96/540 + 33/(-108)*3. Solve -u**2 + y + 27/4*u = 0 for u.
-1/4, 7
Let f(l) be the second derivative of -l**4/16 + 31*l**3/4 - 45*l**2 + 6*l + 101. Solve f(w) = 0.
2, 60
Factor -170*d + 420*d + 115*d**2 + 25*d**3 - 30*d**3.
-5*d*(d - 25)*(d + 2)
Suppose -2*o + 0*n = -n - 1, -o - 10 = -4*n. Factor -11*z**2 + 22*z**o + 4*z**3 - 64*z**2 + 13*z**2.
4*z**2*(z - 10)
Determine v, given that 352/7*v**2 + 2/7*v**3 - 2/7*v - 352/7 = 0.
-176, -1, 1
Let u be 10 + (-660)/(-100) + (-14 - 1). Suppose -2/5*y**4 - 4/5*y**2 + 8/5*y + 6/5 - u*y**3 = 0. What is y?
-3, -1, 1
Let f(u) be the second derivative of 5*u**5/6 - 155*u**4/18 + 158*u**3/9 - 40*u**2/3 + 63*u - 41. Solve f(c) = 0 for c.
2/5, 4/5, 5
Let t(c) = c - 7*c - 44 + 8*c**2 - 7*c**2. Let p be t(-5). Factor 10*g + 2*g**2 - 3*g**2 + 0*g**2 - p*g.
-g*(g + 1)
Let q be (1124/(-70) - (17 - 33))/((-4)/14). Factor 3/5*v - 2 + q*v**2.
(v - 2)*(v + 5)/5
Let d(c) = -5*c**3 + 10*c**2 + 6*c + 11. Let w(g) = -13*g + 32. Let q be w(5). Let o(l) = -l**3 + 2*l**2 + l + 2. Let r(f) = q*o(f) + 6*d(f). Factor r(k).
3*k*(k - 1)**2
Determine d, given that -59/4*d**3 + 323/2*d**2 + 414 - 561*d + 1/4*d**4 = 0.
1, 6, 46
Let k(i) be the third derivative of -i**6/240 - 1421*i**5/120 - 168033*i**4/16 + 168507*i**3/4 + 113*i**2. Factor k(a).
-(a - 1)*(a + 711)**2/2
Let t(r) be the second derivative of -289/6*r**2 + 17/9*r**3 - 1/36*r**4 - 3 - 17*r. Factor t(o).
-(o - 17)**2/3
Suppose 17*l = 12*l - 310. Let y = -61 - l. Determine c, given that -c**3 - y + 1 - 6*c**2 - 6*c - 3*c - 4 = 0.
-4, -1
Factor 3/5*d**3 - 114/5*d**2 - 633/5*d - 516/5.
3*(d - 43)*(d + 1)*(d + 4)/5
Let f = -39 - -45. Let t be (1/(f/8))/(4/6). Solve 19*b**t - 7*b**2 + b + 8*b + 4*b**4 - 16 - 16*b**3 + 7*b = 0 for b.
-1, 1, 2
Solve 9*o**4 + 22*o**2 + 36*o + 24 + 6*o**5 + 906*o**3 - 64*o**2 - 939*o**3 = 0 for o.
-2, -1/2, 1, 2
Let d(o) = 2*o**3 - 5*o**2 - 7*o - 5. Let b(l) = 3*l**2 - 1 + 8*l**2 + 4 - 8*l**2 + 4*l - l**3. Let h(c) = -5*b(c) - 3*d(c). Determine m, given that h(m) = 0.
-1, 0, 1
Let i(t) be the first derivative of -t**7/420 + t**6/90 + t**5/15 - 2*t**4/3 - 16*t**3/3 - 55. Let k(f) be the third derivative of i(f). Factor k(u).
-2*(u - 2)**2*(u + 2)
Let n = 45 - 80. Let k = 41 + n. Factor k*q**2 - 8*q**2 + 7*q**2 - 4*q - q.
5*q*(q - 1)
Suppose -60 = -5*h + 5*z, -4*z - 102 = 261*h - 292*h. Solve -20*j + 2/9*j**h + 450 = 0 for j.
45
Suppose 50 = 5*z + 5*y, 5*z + 11*y = 12*y + 14. Let l(a) be the first derivative of 3/20*a**z + 3*a**3 + 75*a + 25 + 45/2*a**2. Solve l(m) = 0.
-5
Let s be -15 - (-8 + 0) - 469/(-35). Let -2/5*o**5 + 0 - 8*o - s*o**2 + 8/5*o**4 + 18/5*o**3 = 0. Calculate o.
-2, -1, 0, 2, 5
Find t such that 555024*t - 187*t**3 - 553536 + 188*t**3 - 968*t**2 - 521*t**2 = 0.
1, 744
Factor -21/2*o**2 + 9 + 3/2*o.
-3*(o - 1)*(7*o + 6)/2
Suppose w + 2*z = 36, -3*z + 44 + 24 = 2*w. Let h = -22 + w. Determine y so that -8*y - 5 + 2*y**2 + 17 - h + 2 = 0.
2
Let k(y) be the third derivative of -3/140*y**5 - 1/7*y**3 + 5/56*y**4 + 0*y + 50*y**2 + 0 - 1/280*y**6 + 1/490*y**7. Determine a so that k(a) = 0.
-2, 1
Let c be -37*(-36)/21312*0. Let c*j + 2/3*j**2 - 1/2*j**3 + 0 - 1/6*j**4 = 0. What is j?
-4, 0, 1
Factor -76/3*k**2 + 5920/3*k + 208.
-4*(k - 78)*(19*k + 2)/3
Let i(a) = a**2 + 6*a + 15. Let h be i(-6). Let j be ((-256)/36 - -7)*h/(-10). Suppose 1/6*n**3 - j*n + 0*n**2 + 0 = 0. What is n?
-1, 0, 1
Let l be (3 - 184/48)/((-40)/468). Determine n, given that 1/4*n**5 - 5*n**2 - l*n - 9/2 + 3/2*n**3 + 3/2*n**4 = 0.
-3, -1, 2
Find s, given that -128000 - 34*s**3 + 13994*s + 780*s**2 + 14806*s + 39*s**3 = 0.
-80, 4
Let q(u) be the first derivative of 4*u**3 - 11/30*u**6 - 49/10*u**4 + 57/25*u**5 + 0*u - 4/5*u**2 - 22. Suppose q(m) = 0. What is m?
0, 2/11, 1, 2
Let c(o) be the first derivative of 7*o**6/270 + o**5/45 + 79*o**3/3 + 43. Let n(t) be the third derivative of c(t). Factor n(g).
4*g*(7*g + 2)/3
Suppose -980 = -13*a - 15*a. Let t be (-6)/21*(-245)/a. Determine i, given that -2/3 + 1/6*i**t + 1/6*i**3 - 2/3*i = 0.
-2, -1, 2
Let k(z) be the third derivative of 3*z**2 + 1/120*z**5 + 4/3*z**3 + 27*z + 0 + 5/24*z**4. Find l, given that k(l) = 0.
-8, -2
Let q(h) be the first derivative of h**3 - 45*h**2/2 - 300*h - 1185. Factor q(a).
3*(a - 20)*(a + 5)
Let l(x) = 3*x + 84. Let u be l(-26). Factor -4*d**3 - 36 + u*d - 10*d + 8*d**2 + 36.
-4*d*(d - 1)**2
Let r = -59 - -63. Find k, given that 14*k + 8*k**2 + r - 10*k + 3*k + 3*k + 2*k**3 = 0.
-2, -1
Let y(w) be the second derivative of 11/39*w**3 - 4 + w - 5/13*w**2 + 1/130*w**5 - 7/78*w**4. Factor y(u).
2*(u - 5)*(u - 1)**2/13
Let d = 274 - 302. Let q be (-1)/(-6) + d/(-3) + -6. Factor -1/2*u**4 - 5/2*u**3 + 0 - 3/2*u - q*u**2.
-u*(u + 1)**2*(u + 3)/2
Let v = -1450 - -1459. Factor v*n**2 + 0 + 3/2*n**3 - 21/2*n.
3*n*(n - 1)*(n + 7)/2
Let o(z) be the third derivative of z**6/1200 - 3*z**5/200 + 3*z**4/40 - 1406*z**2. Factor o(g).
g*(g - 6)*(g - 3)/10
Let p = 219 - 219. Solve 14*j - 8*j**3 - 5*j**3 - 7*j**2 + 9*j**3 - 3 + p*j**2 = 0.
-3, 1/4, 1
Let v be (-10)/(-14) + -1 + (-246)/(-126). Let t(q) = -3*q**3 - 10*q**2 - 3*q + 2. Let o be t(-3). Factor v*z - o*z**2 + 1/3.
-(z - 1)*(6*z + 1)/3
Let i(c) be the second derivative of -29/33*c**4 + 0 + 1/110*c**5 - 94*c + 841/33*c**3 + 0*c**2. Factor i(n).
2*n*(n - 29)**