ne q so that 54*q**4 + 26054/3*q**2 + 6072*q**3 + 296 + 8888/3*q = 0.
-111, -1, -2/9
Factor -114/5*n + 204/5 + 6/5*n**3 - 96/5*n**2.
6*(n - 17)*(n - 1)*(n + 2)/5
Factor 2/3*i**2 - 1034/3*i + 0.
2*i*(i - 517)/3
Let d(q) be the first derivative of 5445/4*q**2 + 5/24*q**4 - 285 + 55/2*q**3 + 59895/2*q. Factor d(i).
5*(i + 33)**3/6
Let j(x) be the first derivative of -x**6/180 + 4*x**5/9 + 119*x**2/2 - 238. Let z(l) be the second derivative of j(l). Factor z(m).
-2*m**2*(m - 40)/3
Let a(v) be the first derivative of -3*v**4/4 + 11*v**3 - 15*v**2 - 181. What is m in a(m) = 0?
0, 1, 10
Let s(p) = 11*p**2 - 6*p + 1. Let k(r) = -22*r**2 + 10*r - 3. Let t = -383 - -381. Let m(g) = t*k(g) - 5*s(g). Factor m(u).
-(u - 1)*(11*u + 1)
Let w(h) be the third derivative of -h**6/40 - 23*h**5/20 - 61*h**4/4 - 80*h**3 - 1766*h**2. Factor w(t).
-3*(t + 2)*(t + 5)*(t + 16)
Let f be 0/(1 - (-6)/(-3)). Let v be 6825/(-2730) - (-8 - -1). Factor v*u**2 + f + 3/2*u**3 + 3*u.
3*u*(u + 1)*(u + 2)/2
Let n be (-78)/8*(-1304*1 - 4). Let -12753 + 8*m + m**2 + n = 0. What is m?
-8, 0
Suppose 314*l - 450 - 1434 = 0. Let x(t) be the first derivative of -2/3*t**l + 6*t**2 - 2*t**4 - 15 + 8/3*t**3 + 4*t - 12/5*t**5. Factor x(d).
-4*(d - 1)*(d + 1)**4
Let k(s) be the second derivative of s**5/100 - s**4/30 - 131*s**3/30 + 66*s**2/5 - 6528*s. Factor k(v).
(v - 12)*(v - 1)*(v + 11)/5
Let g = -1229933/45 + 27332. Let w(f) be the first derivative of 2/9*f**3 - g*f**5 - 36 + 0*f**2 + 0*f + 19/36*f**4. Let w(a) = 0. What is a?
-2/7, 0, 3
Suppose -5*w + i - 3 = -9, -5*i = -2*w - 16. Suppose -a = 4*l + 6, 5 = 3*a - l - 3. Factor d**2 + 15*d + 4*d**2 - w + a.
5*d*(d + 3)
Let o = 245 + -623. Let a = -2645/7 - o. Factor 0*i - a*i**2 + 0 - 1/7*i**3.
-i**2*(i + 1)/7
Factor -1468*z + 4292 + 1184 + 116*z - 292*z + 100*z**2 + 164*z.
4*(5*z - 37)**2
Let l(x) be the third derivative of -41*x**5/60 - 125*x**4/24 - x**3 + 8*x**2 + 48*x. Determine m so that l(m) = 0.
-3, -2/41
Let u = 231775/198654 + -2/33109. Let q(f) be the second derivative of 29*f - 1/2*f**5 - 1/15*f**6 + 0*f**2 - u*f**4 + 0 - f**3. Factor q(a).
-2*a*(a + 1)**2*(a + 3)
Let m = -98026950/209 + 469030. Let f = 18/11 - m. Determine j, given that -f*j**2 - 2/19*j + 0 = 0.
-1, 0
Let g(k) be the first derivative of k**3/9 + 154*k**2/3 - 1046. Factor g(d).
d*(d + 308)/3
Let l(y) be the third derivative of -2*y**7/105 + y**6/6 - 2*y**5/15 - 4*y**4/3 + 6994*y**2. Find s, given that l(s) = 0.
-1, 0, 2, 4
Let s(q) be the first derivative of 0*q + 159 - 3/32*q**4 + 3/16*q**2 + 1/40*q**5 - 1/24*q**3. Determine n, given that s(n) = 0.
-1, 0, 1, 3
Suppose 538*h - 217083 - 1/3*h**2 = 0. Calculate h.
807
Let r = 1717573/4 - 429382. Factor 45/2 + 5/4*m**2 - r*m.
5*(m - 6)*(m - 3)/4
Let a be (-2)/(-8)*0 + 149. Let c(r) = -r**3 + 9*r**2 + 9*r + 12. Let i be c(10). Factor -4*j**4 - 119*j - a - 388*j**i + 257*j + 438*j - 107 + 72*j**3.
-4*(j - 8)**2*(j - 1)**2
Let p = -60 - -68. Let d(s) = s - 7. Let y be d(p). Factor 1 + 5*j**2 + 4 + y - 11.
5*(j - 1)*(j + 1)
Determine w so that -5005*w**2 - 2188*w - 5005*w**2 + 10006*w**2 - 6179*w - 1293*w = 0.
-2415, 0
Suppose -246 = -8*y + 2*y - 3*t, -34 = -y - 4*t. Let f be (-59)/(-12) - y/56 - 4. Find l, given that 5/6 - f*l**2 + 2/3*l = 0.
-1, 5
Solve 0 - 5024/9*p**2 - 64/9*p**3 - 98596/9*p = 0.
-157/4, 0
Suppose -1/2*l**3 - 351/2*l - 33/2*l**2 - 1183/2 = 0. Calculate l.
-13, -7
Suppose u = -4*k + 11, 3*u + 3*k + 7 = 22. Suppose -3*o - 2*o - u*c = -22, -5*c = 2*o - 24. Factor o - 15 + 4 + 3 - 9*s**2 + 21*s.
-3*(s - 2)*(3*s - 1)
Let y(x) be the first derivative of -2/15*x**6 + 0*x**5 + 8/5*x**4 + 8/5*x**3 + 61 - 14/5*x**2 - 24/5*x. Solve y(s) = 0.
-2, -1, 1, 3
Let d = 1096 + -1240. Let b be (-32)/d + (-12)/54. Factor b + 0*l + 0*l**2 + 2/9*l**3 + 2/9*l**4.
2*l**3*(l + 1)/9
Let g = 552 - -414. Let s be 4577/g - (-1)/(-6). Determine l so that 2/7*l**4 + s - 20/7*l**3 + 66/7*l**2 - 80/7*l = 0.
1, 4
Let 54/5*f**5 - 204/5*f**4 - 48/5*f**2 + 0 + 222/5*f**3 - 24/5*f = 0. What is f?
-2/9, 0, 1, 2
Let a(w) be the third derivative of 0 - 173/48*w**4 - 57/40*w**5 - 29/6*w**3 - 159*w**2 + 1/420*w**7 + 0*w - 11/48*w**6. Factor a(i).
(i - 58)*(i + 1)**3/2
Let f be 8 - 3 - (-5)/((-5)/4). Let b(p) = p. Let d(u) = -36*u**3 - 40*u**2 + 74*u + 8. Let x(v) = f*d(v) - 6*b(v). Factor x(r).
-4*(r - 1)*(r + 2)*(9*r + 1)
Let h(q) = q**3 - 12*q**2 - 5. Let b be h(12). Let y be (b/(-30) + (-6)/9)*-10. Factor 5*f**2 - 12*f**2 - 10 + y*f**2 + 9*f - 21*f.
-2*(f + 1)*(f + 5)
Let k = 27 - 31. Let q be (-3)/15*-4*(-690)/k. Suppose -138*t**2 + 3*t**3 - t**4 + q*t**2 = 0. Calculate t.
0, 3
Let y be (-24)/(-20)*(-17)/3366*-150. Find b, given that -12/11*b + 0 + 10/11*b**3 + 2/11*b**5 + 10/11*b**2 - y*b**4 = 0.
-1, 0, 1, 2, 3
Let z(q) be the second derivative of 0 + 7/9*q**4 - 114*q + 2/9*q**3 - 19/60*q**5 + 1/30*q**6 - 8/3*q**2. Let z(j) = 0. Calculate j.
-2/3, 1, 2, 4
Let r be (-7 + -3)*(192/60 + -3)/(-1). Factor -29/3*z**3 + 704/3*z - 512/3 - 54*z**r - 1/3*z**4.
-(z - 2)*(z - 1)*(z + 16)**2/3
Let l(h) be the third derivative of -h**7/840 + 7*h**6/480 - 13*h**5/240 - h**4/32 + 3*h**3/4 + 1279*h**2. Factor l(v).
-(v - 3)**2*(v - 2)*(v + 1)/4
Let q = -66657 - -66660. Factor 7/3 + 11/2*t**2 + 11/6*t**q + 1/6*t**4 + 37/6*t.
(t + 1)**2*(t + 2)*(t + 7)/6
Let n = -337279/5 + 67463. Suppose 0 + 3*s - 42/5*s**2 + n*s**3 - 3/5*s**5 - 6/5*s**4 = 0. What is s?
-5, 0, 1
Let r(s) be the first derivative of -s**5/60 + 23*s**4/24 + 85*s**2 - 6. Let v(i) be the second derivative of r(i). Find b, given that v(b) = 0.
0, 23
Let m(x) be the second derivative of x**4/30 - 562*x**3/5 + 710649*x**2/5 - 11*x - 82. Factor m(v).
2*(v - 843)**2/5
Suppose -929 = -m + 5*d, -4703 = -5*m + 113*d - 117*d. Let n be (-25)/100 + (-4 - m/(-204)). Find q, given that -4/17*q + n - 2/17*q**2 = 0.
-3, 1
Let j be (-112)/(-60) - (-4)/30. Let t(a) = a**2 - 3*a + 4. Let v be t(j). Determine g so that 5*g - 8 - 4*g**v - 7 - 6 + 19 + g**3 = 0.
1, 2
Let x be 316/474*(1 + -1 + 3). Suppose 15*s + 8 = 19*s. Factor 10*k**x - 16*k**4 + 25*k - 4*k**3 + 16*k**s - 10*k**2 - 21*k.
-4*k*(k - 1)*(k + 1)*(4*k + 1)
Let a(y) = -42 + 62*y - 25*y - 6*y + y**2. Let v(o) = o**2 + 46*o - 63. Let n(i) = -8*a(i) + 5*v(i). Factor n(j).
-3*(j - 1)*(j + 7)
Let h = 4061 - 4061. Let p(c) be the third derivative of -2/45*c**5 - 1/72*c**6 - 1/18*c**4 + 0 - 5*c**2 + h*c + 0*c**3 - 1/630*c**7. Factor p(r).
-r*(r + 1)*(r + 2)**2/3
Suppose 77*y - 105*y = 0. Suppose 4/9*b**4 - 2/3*b**3 + y + 1/9*b**5 + 5/9*b - 4/9*b**2 = 0. What is b?
-5, -1, 0, 1
Let r be 11 - 16672*(-9)/(-13871). Let x = r - 1/1261. Suppose -x*z**3 + 2/11*z**4 - 6/11*z**2 + 2/11*z + 4/11 = 0. Calculate z.
-1, 1, 2
Let a = -197792/3 + 65931. Factor 1/9*g**2 - a*g + 0.
g*(g - 3)/9
What is h in -141*h**4 - 839 + 110*h**3 + 137 + 113*h**3 - 3*h**5 - 477*h + 257*h**3 - 87*h**4 + 930*h**2 = 0?
-78, -1, 1, 3
Let d be (-3)/(-30) + 609/(-5985). Let n = 633/190 - d. Factor 0 - q**4 + 0*q + n*q**2 - 13/3*q**3.
-q**2*(q + 5)*(3*q - 2)/3
Let a be -5*8/20 + 4. Factor 27*m**2 - 179685 - 127*m**2 - 6*m**3 + m**3 - 395*m**a - 16335*m.
-5*(m + 33)**3
Let y = -6225 + 6227. Suppose 4*k - 2 = 3*k. Determine h so that -4*h**2 + y + 2*h**k + h + 4*h**2 + 3*h = 0.
-1
Let t(i) be the second derivative of -13/70*i**6 - 4/7*i**3 + 0*i**2 - 5/98*i**7 + 5/7*i**4 - 2*i - 36 + 9/70*i**5. What is o in t(o) = 0?
-2, 0, 2/5, 1
Let o(r) be the first derivative of -49*r**4 + 36344*r**3/3 + 10408*r**2 + 2976*r - 4694. Let o(v) = 0. What is v?
-2/7, 186
Suppose 2*z + 4*w - 4 = -0*z, -38 = -5*z + 4*w. Let o be 3 + 18/6 - z. Factor 0 + 10/11*f**2 + 2/11*f**3 + o*f.
2*f**2*(f + 5)/11
Let y(h) be the second derivative of -h**6/25 - 9*h**5/20 - 7*h**4/5 - 3*h**3/2 + 155*h + 23. Suppose y(r) = 0. Calculate r.
-5, -3/2, -1, 0
Let z(s) be the second derivative of -3 - 1/20*s**5 + 2*s**2 + 0*s**3 + 46*s - 1/4*s**4. Factor z(d).
-(d - 1)*(d + 2)**2
Let p be (-4)/(-192) + (-6)/(-60)*0. Let i(g) be the third derivative of 0*g**3 + 0 - 5/32*g**4 - 34*g**2 - p*g**5 + 0*g. Factor i(c).
-5*c*(c + 3)/4
Determine s so that 80*s + 377*s**2 + 0*s**3 - 7*s**3 + 2*s**3 - 347*s**2 = 0.
-2, 0, 8
Suppose 0 = -4*o + p + 146, -89*p - 103 = -3*o - 85*p. Suppose -19 = 9*v - o. Factor -2/5*l + 2/5*l**v - 12/5.
2*(l - 3