-805)). Suppose 0 - b*o**3 + 0*o**2 + 2/11*o = 0. What is o?
-1, 0, 1
Let n(x) be the first derivative of 156 + 7396*x + 172*x**2 + 4/3*x**3. Factor n(l).
4*(l + 43)**2
Let i(v) be the second derivative of v**4/54 - 64*v**3/27 + 365*v. Solve i(w) = 0.
0, 64
Let q(s) be the first derivative of -s**5/30 + 25*s**4/12 - 22*s**3 + 189*s**2/2 - 369*s/2 + 8933. Factor q(c).
-(c - 41)*(c - 3)**3/6
Find d, given that -72*d**2 - 14*d**3 + 724*d - 190*d**2 - 864*d**2 + 128*d**2 + 288 = 0.
-72, -2/7, 1
Let t(k) be the third derivative of -1/84*k**6 + 0*k - 75*k**2 + 4/735*k**7 + 0*k**3 + 0 - 1/30*k**5 + 1/42*k**4. Let t(g) = 0. What is g?
-1, 0, 1/4, 2
Let v be -13 + 19 - 64/20. Let y = -60 + 302/5. Suppose v + 16/5*u + y*u**2 = 0. Calculate u.
-7, -1
Suppose x - 5*l = -42, -x + 921 = -7*l + 981. What is z in 1394/9*z**x - 1432/9*z**2 + 32/3 + 14*z**4 - 184/9*z = 0?
-12, -2/7, 2/9, 1
Let j = -1053231 - -4212943/4. Factor -1 + 3/4*q**4 - 5/4*q**3 - 23/4*q**2 - j*q.
(q - 4)*(q + 1)**2*(3*q + 1)/4
Factor 0 - 36/7*s - 2/7*s**2 + 2/7*s**4 + 36/7*s**3.
2*s*(s - 1)*(s + 1)*(s + 18)/7
Let p(k) = -2276*k - 25034. Let b be p(-11). Factor 0 + 2/15*w**b + 6/5*w.
2*w*(w + 9)/15
Suppose 12*v - 289 = 599. Determine t so that -4*t - v*t**3 + 73*t**3 + 8*t**2 - 5*t - 18 = 0.
-1, 3, 6
Suppose -h - 147 = 2*h - w, -w + 49 = -h. Let q = h - -56. Factor 3*y - q*y**2 - 8 + 13*y + 17*y**2.
2*(y + 2)*(5*y - 2)
Let h be (-150)/100*16/(-3). Suppose -3*u + x + 7 = 9, -2*u - 4*x = -h. Let 2/3*m**2 + u*m + 0 = 0. What is m?
0
Suppose 39689 = -98*v + 42629. Factor -5/2*s**2 - 10*s + v.
-5*(s - 2)*(s + 6)/2
Factor -147*h**2 - 34 + 3860*h**4 - 226*h - 23*h**3 + 55*h - 3863*h**4 - 32 - 22*h**3.
-3*(h + 1)**2*(h + 2)*(h + 11)
Let i(k) be the first derivative of -5*k**6/6 + 92*k**5/5 - 21*k**4/4 - 286*k**3/3 + 146*k**2 - 72*k + 9187. Find z such that i(z) = 0.
-2, 2/5, 1, 18
Let u = 210 + -209. Let r be 4/8 + 1*u/(-2). Factor 6/5*a**3 + 0 + 16/5*a**4 + r*a - 18/5*a**2 - 8/5*a**5.
-2*a**2*(a + 1)*(2*a - 3)**2/5
Factor 0 + 0*s - 161/3*s**2 - 1/3*s**3.
-s**2*(s + 161)/3
Factor -1/2*o**2 + 263/2 + 131*o.
-(o - 263)*(o + 1)/2
Suppose -2 = -2*f, -x + 3*f - 6*f + 39 = 0. Let r = 41 - x. Factor -23 + 53 + r*m**3 + 15*m**2 + 10*m - 30.
5*m*(m + 1)*(m + 2)
Suppose -9*g = 8*g - 3876. Suppose 208 - g = -2*i. Factor -u**5 + 1696*u - 4*u**5 - 1696*u + 20*u**3 + i*u**4 - 40*u**2.
-5*u**2*(u - 2)**2*(u + 2)
Factor -303/4*r**2 + 3/4*r**3 - 945/4 - 1251/4*r.
3*(r - 105)*(r + 1)*(r + 3)/4
Let 0*u + 0 - 1/4*u**5 + 29/4*u**4 + 15/2*u**3 + 0*u**2 = 0. What is u?
-1, 0, 30
Let j(k) be the second derivative of 7/10*k**6 - 3 + 27/20*k**5 - 5/4*k**4 - 3*k**2 - 9/2*k**3 - 25*k. Factor j(a).
3*(a - 1)*(a + 1)**2*(7*a + 2)
Factor -28/5*g - 48/5 + 18/5*g**2 - 2/5*g**3.
-2*(g - 6)*(g - 4)*(g + 1)/5
Let f = 394 + -359. Let c be ((-4)/10)/((-42)/f). Factor 2/3*p**2 - 2/3 + c*p - 1/3*p**3.
-(p - 2)*(p - 1)*(p + 1)/3
Let d(x) be the first derivative of 3*x**7/700 + 259*x**6/900 - 29*x**5/150 - 89*x**3/3 - 106. Let p(j) be the third derivative of d(j). Factor p(n).
2*n*(n + 29)*(9*n - 2)/5
Factor 100*y**3 + 216*y**2 + 40278*y - 20140*y - 4*y**4 - 20138*y.
-4*y**2*(y - 27)*(y + 2)
Let y(c) be the first derivative of -2*c**5/25 + c**4/10 + 2*c**3/5 - c**2/5 - 4*c/5 + 4576. Suppose y(r) = 0. Calculate r.
-1, 1, 2
Let w(h) = 103*h - 462. Let g be w(5). Suppose 39*m - 103 = g. Factor 1/7*q - 1/7*q**m + 3/7*q**2 - 1/7*q**3 - 2/7.
-(q - 1)**2*(q + 1)*(q + 2)/7
Suppose -2*n = u - 10, 4*n - 188*u = -193*u + 38. Let r(p) be the first derivative of 8/15*p**3 + 0*p + 3/10*p**4 - n + 1/5*p**2. Let r(w) = 0. What is w?
-1, -1/3, 0
Let n(b) be the first derivative of 230 - 120*b + 40*b**3 - 3/2*b**2 + 3/4*b**4. Determine j so that n(j) = 0.
-40, -1, 1
Let f be -9 - (1561/(-1176) - 5). Let d = -23/24 - f. Solve 3/7*z**3 + 0*z**2 + 0 - d*z = 0.
-2, 0, 2
Let i be (-2)/(-11)*127710/216. Find f, given that 5/2*f**4 + 5/2*f - 215/2*f**2 - i*f**3 + 15*f**5 + 15 = 0.
-2, -1, -1/2, 1/3, 3
Let u(l) = -3*l**3 + 16*l**2 + 33*l + 18. Let d = 59 - 57. Let r(y) = -4*y**2 - 3*y**2 + 3*y**2 + 3*y**d. Let s(p) = 4*r(p) + u(p). Factor s(j).
-3*(j - 6)*(j + 1)**2
Factor -1/6*i - 7/6*i**2 + 4/3.
-(i - 1)*(7*i + 8)/6
Let h(l) be the second derivative of l**4/48 - 4*l**3/3 + 175*l**2/8 - 111*l. Factor h(y).
(y - 25)*(y - 7)/4
Factor 3072 - 147 + 1073 + 1066 + 3*q**2 + 369 + 5436*q.
3*(q + 1)*(q + 1811)
Let f be 12/(-10) - -1 - (-2898)/315. Solve -10*p**2 + 80*p + 22 - 34 - 5*p**3 - 48 - f*p**2 + 4*p**2 = 0 for p.
-6, 1, 2
Let b = -317205/13 - -24403. Solve b*o**2 + 4/13*o + 0 = 0.
-2/17, 0
What is p in 2/7*p**3 - 762/7 + 218*p - 766/7*p**2 = 0?
1, 381
Let r = 7117/24934 - -1/3562. Let u(b) be the first derivative of -44 + 3/7*b**3 - r*b - 1/2*b**2. Suppose u(l) = 0. Calculate l.
-2/9, 1
Solve 192/5*z**2 - 62*z + 143/5 - 26/5*z**3 + 1/5*z**4 = 0 for z.
1, 11, 13
Let b be (-12)/2*(4*(-228)/(-96) - 10). Let q(y) be the third derivative of -1/20*y**5 + 0*y - 3*y**b + 7/8*y**4 + 0 + 19*y**2. What is t in q(t) = 0?
1, 6
Determine j, given that 5045*j + 6230*j - 255*j**4 - 4*j**5 + 4940*j**2 + 8223*j + 782*j - 3090*j**3 - j**5 = 0.
-26, -2, 0, 3
Let y(r) be the first derivative of -3*r**4/4 + 32*r**3 - 90*r**2 - 6849. Factor y(l).
-3*l*(l - 30)*(l - 2)
Let h(r) be the second derivative of r**7/3780 - r**6/135 - r**5/9 + 3*r**4 - 4*r + 2. Let n(d) be the third derivative of h(d). Factor n(b).
2*(b - 10)*(b + 2)/3
Let v(o) be the first derivative of o**6/6 - o**5/5 - 13*o**4/4 + o**3/3 + 24*o**2 + 36*o - 42. Solve v(i) = 0.
-2, -1, 3
Let j(y) be the second derivative of 0*y**3 + 2 + 1/24*y**5 + 1/180*y**6 + 1/24*y**4 + 69*y + 0*y**2 - 1/252*y**7. Factor j(n).
-n**2*(n - 3)*(n + 1)**2/6
Let n(u) be the third derivative of -u**6/280 - 4*u**5/35 + 23*u**4/56 + 51*u**3/7 - 3*u**2 - 12*u - 15. Factor n(a).
-3*(a - 3)*(a + 2)*(a + 17)/7
Let p(k) be the second derivative of k**5/5 - k**4 + 8*k**2 + 643*k. What is b in p(b) = 0?
-1, 2
Let n(x) = x**4 + 12*x**3 - 7*x**2 - x. Let r(z) = z**4 + z**2 - z. Suppose -6*l + 14*l + 40 = 0. Let m(h) = l*r(h) + n(h). Factor m(y).
-4*y*(y - 1)**3
Suppose 0 = -17*q + 13*q + 20. Suppose 37 = 5*u - 3*a, -q*u + 9 = 3*a + a. Factor -2*h**u - 4*h - 2*h**2 + 7*h + 2*h**3 - 3*h + 2*h**4.
-2*h**2*(h - 1)**2*(h + 1)
Factor -173*d - 226*d + 316 + 4*d**2 + 21*d + 58*d.
4*(d - 79)*(d - 1)
Let -885/8*x**3 + 3/8*x**5 + 0 + 0*x - 219/2*x**4 + 879/4*x**2 = 0. Calculate x.
-2, 0, 1, 293
Let i = 594613/3 + -198204. Suppose -i*b**4 + b**3 - 9*b + 3*b**2 + 0 = 0. Calculate b.
-3, 0, 3
Let q be 468 - 475 - 88*(0 - 1). Suppose -q = -39*p + 36. Factor -1/3*r**2 + 0 + 1/3*r**4 - 2/3*r + 2/3*r**p.
r*(r - 1)*(r + 1)*(r + 2)/3
Let o(x) be the third derivative of x**6/420 - 41*x**5/210 - 43*x**4/42 + 927*x**2. Find a, given that o(a) = 0.
-2, 0, 43
Let y(o) = -5*o**5 + 15*o**4 - 3*o**3 - 26*o**2 - 3*o + 3. Let u(c) = 5*c**5 - 15*c**4 + 2*c**3 + 24*c**2 + 2*c - 2. Let q(x) = -3*u(x) - 2*y(x). Factor q(b).
-5*b**2*(b - 2)**2*(b + 1)
Let c(d) be the second derivative of -1/6*d**5 + 7/6*d**3 - 1/72*d**6 + 0*d**2 - 5/8*d**4 + 0 + 28*d. Let o(h) be the second derivative of c(h). Solve o(t) = 0.
-3, -1
Let g(q) be the first derivative of 0*q + 1/6*q**4 + 39 - q**3 + 1/30*q**5 + 1/2*q**2. Let x(v) be the second derivative of g(v). Factor x(f).
2*(f - 1)*(f + 3)
Let w be 5*(-9)/(-225) - (-1488)/10. Suppose -200*y + 102 = -w*y. Let -2/7*x**2 + y*x - 20/7 = 0. What is x?
2, 5
Let o = 6311 - 6306. Let y(r) be the third derivative of 0 - 21*r**2 - 1/6*r**4 + 0*r - 1/30*r**o + 0*r**3. Factor y(c).
-2*c*(c + 2)
Find x, given that 91/12*x**2 + 5/3 - 7*x + 5/12*x**5 - 9/4*x**4 - 5/12*x**3 = 0.
-2, 2/5, 1, 5
Let z be (4 - 3)*-3 + 5. Let -46*a**3 + 4*a**5 + 8*a**z + 16*a**4 + 0*a**4 + 66*a**3 = 0. What is a?
-2, -1, 0
Let k = -276836 - -276838. Find u, given that 0*u - 4*u**3 + 0 - 4*u**k + 4/9*u**4 + 4/9*u**5 = 0.
-3, -1, 0, 3
Suppose 353*l + 134*l + 4 = 4. Let b(v) be the second derivative of 11*v + l + 7/60*v**5 + 10/9*v**4 + 23/18*v**3 - 5/3*v**2. Suppose b(u) = 0. What is u?
-5, -1, 2/7
Let x(u) = -3*u**3 + 185*u**2 + 4091*u - 4225. Let g(a) = 4*a**3 - 199*a**2 - 4090*a + 4225. Let w(h) = -4*g(h) - 5*x(h). Solve w(p) = 0.
-65, 1
Let y(x) be the third derivative of x**6/540 - 44*