be the second derivative of u(o). What is m in r(m) = 0?
-3, 0, 1
Let x be 3/(-4) + (-16 - 5488/(-320)). Let b(g) be the first derivative of -1 + 0*g + x*g**3 + 1/5*g**2. Suppose b(c) = 0. Calculate c.
-1/3, 0
Let x(w) = w**3 + 12*w**2 + 7*w - 44. Let v be x(-11). Suppose v = 2*j - 19 + 13. Factor 36 - 86/3*i**j - 54*i - 10/3*i**4 - 78*i**2.
-2*(i + 3)**3*(5*i - 2)/3
Find o such that 1632/7*o - 1630/7 - 2/7*o**2 = 0.
1, 815
Suppose 96*h = 70*h - 78. Let y be (10/15)/((h/(-2))/3). Factor -y*d + 2/3*d**2 + 2/3.
2*(d - 1)**2/3
Let y = 282071/32547 + 1/10849. Let j(u) be the second derivative of -y*u**3 + 20*u**2 - u**4 + 24*u + 0. Factor j(a).
-4*(a + 5)*(3*a - 2)
Let m(k) be the first derivative of -k - 1/18*k**3 - 7/12*k**2 - 45. Determine g, given that m(g) = 0.
-6, -1
Factor 1264*r**2 + 15*r + 50 - 634*r**2 - 629*r**2.
(r + 5)*(r + 10)
Suppose -9*i + 12 = -3*i. Factor 5 + 11 - 7*s - 4*s**i - 5*s.
-4*(s - 1)*(s + 4)
Let i(l) be the third derivative of 0 - 3/4*l**4 - 229*l**2 + 11/4*l**3 + 1/40*l**5 + 0*l. Solve i(f) = 0 for f.
1, 11
Let f be 9/(-12)*-86 - 1/2. Suppose -2*x + f = 3*k, -2*x - 5*k + 49 + 23 = 0. Factor x*o**3 + 14*o**3 - o**2 + 4*o**2 - 28*o**3.
3*o**2*(4*o + 1)
Suppose m + 2 = -o + 9, 5*o = -m + 15. Let n be (-1 - 75/(-105))/((-3)/7 - 2). Factor n*u**3 + 2/17*u**o + 0*u + 0.
2*u**2*(u + 1)/17
Let a(c) be the second derivative of c**4/60 - 28*c**3/5 + 166*c**2/5 + 811*c - 2. Factor a(p).
(p - 166)*(p - 2)/5
Let h(g) be the third derivative of g**5/480 + 29*g**4/96 + 9*g**3/2 - 49*g**2. Factor h(p).
(p + 4)*(p + 54)/8
Let n(j) be the first derivative of j**6/18 - 8*j**5/15 + 7*j**4/6 + 20*j**3/9 - 13*j**2/2 - 12*j + 925. Find b, given that n(b) = 0.
-1, 3, 4
Let t be (0/2)/(-26 + 45 + -20). Let q(y) be the first derivative of -42 + 0*y**2 - 3/2*y + t*y**4 + y**3 - 3/10*y**5. Let q(c) = 0. What is c?
-1, 1
Let h(m) = -m**2 + 2*m - 14. Let t(d) be the first derivative of d**3/3 - d**2/2 - d - 23. Let z(l) = 5*h(l) + 10*t(l). Suppose z(j) = 0. What is j?
-4, 4
Let p be 6 - ((-3)/(-9) - (-300)/180). Let t(r) be the first derivative of 0*r + 5/8*r**p + 10*r**2 - 32 + 5*r**3. Factor t(x).
5*x*(x + 2)*(x + 4)/2
Let r(j) = j**2 - j - 28. Let k be r(6). Find l, given that -72 + 85*l**k + 26 + 26 - 45*l - 70 - 7*l**3 + 5*l**4 + 52*l**3 = 0.
-6, -3, -1, 1
Suppose -28/9*b**3 + 88/9 + 76/3*b - 32*b**2 = 0. Calculate b.
-11, -2/7, 1
Let p(l) = -5*l**2 + 30*l + 29. Let i(y) = -15*y**2 + 90*y + 88. Suppose 76 = -10*k + 7*k + 5*v, -3*k - 56 = -v. Let q(m) = k*p(m) + 6*i(m). Factor q(z).
-5*(z - 7)*(z + 1)
Let i(g) = -13*g**3 - 963*g**2 - 99*g + 11. Let w(o) = -7*o**3 - 482*o**2 - 54*o + 6. Let b(y) = -6*i(y) + 11*w(y). Factor b(u).
u**2*(u + 476)
Let o(i) = -i**3 - 64*i**2 - 47*i + 18. Let g be o(-1). Factor -14/9*z - 4/3 + 10/9*z**g.
2*(z - 2)*(5*z + 3)/9
Let r be 35*(-15)/(-100) - 42/(-56). Factor -3/2*z**3 - r*z**2 + 0 + 0*z.
-3*z**2*(z + 4)/2
Let x = -255 - -324. Factor -x*i**3 - 938*i + 300*i**2 + 519*i + 515*i - 63*i**3 - 21*i**4.
-3*i*(i - 2)*(i + 8)*(7*i + 2)
Let y(w) = w**3 - 16*w**2 + 14*w - 11. Let g be y(15). Let b be (-4)/(-8)*g/(-65). Determine r so that -2/5*r**3 + 3/5*r**2 - b*r + 0 = 0.
0, 1/2, 1
Let l = -11620 + 16345. Suppose -24*d + l = 11*d. Find p such that 5/3*p**2 - 30*p + d = 0.
9
Let g be (0*5/10)/4. Suppose 4*u + 11*s - 6*s = 13, g = -u - s + 3. Factor 0*p**u + 2/5 + 3/5*p - 1/5*p**3.
-(p - 2)*(p + 1)**2/5
Let g(d) be the third derivative of -d**7/525 + d**6/30 + 2*d**5/15 - 3*d**4/2 - 33*d**3/5 + 1673*d**2. Let g(a) = 0. What is a?
-3, -1, 3, 11
Let p(c) be the third derivative of 11*c**8/6720 + 13*c**7/2520 + c**6/360 + 13*c**4/6 + 108*c**2. Let l(k) be the second derivative of p(k). Solve l(w) = 0.
-1, -2/11, 0
Let k be (3 - (6 + -2))*1 - 71. Let b be k/(-81) - (1 + 3/(-9)). Solve -b + 22/9*o**4 - 28/9*o**3 - 2/3*o**5 + 2/9*o + 4/3*o**2 = 0 for o.
-1/3, 1
Let d(p) be the first derivative of 1/10*p**4 + 0*p - 1/5*p**2 + 2/15*p**3 - 149 - 2/25*p**5. Solve d(c) = 0.
-1, 0, 1
Let d(q) be the first derivative of 2*q**4 - 4*q**3 - 46*q**2 + 48*q + 958. Find y such that d(y) = 0.
-3, 1/2, 4
What is c in -11 + 1/4*c**2 - 5*c = 0?
-2, 22
Let a be (-2)/3*3 + 5. Solve 3*d**4 + d**2 - 9*d**4 + 42*d**5 + 5*d**2 + a*d**3 - 45*d**5 = 0 for d.
-2, -1, 0, 1
Suppose 4 = 15*s - 71. Factor -15*r**3 - 9*r**2 + 23*r**3 + 3*r**5 - 8*r**4 + s*r**4 - 23*r**3.
3*r**2*(r - 3)*(r + 1)**2
Let -54711 + 3658*d - 151159 + 0*d**2 - 3*d**2 + 662*d - 1349330 = 0. What is d?
720
Let v be 9*8/(-180)*-10. Suppose -24 = -v*s - 2*u, 0 = -3*s - 2*s + 5*u + 45. Suppose -10 + s*w + 55*w**2 + 25*w**3 - 15*w**2 - 2*w = 0. What is w?
-1, 2/5
Suppose 24 = -490*o + 24. Factor 1/4*i - 1/4*i**5 + 1/2*i**2 + o*i**3 + 0 - 1/2*i**4.
-i*(i - 1)*(i + 1)**3/4
Let i(x) be the first derivative of 4/3*x + 225*x**3 - 30*x**2 + 31. Factor i(b).
(45*b - 2)**2/3
Suppose 46 = 17*y + 6*y. Factor 45 + 46 + 16*v - 91 + 4*v**y.
4*v*(v + 4)
Factor 0 - 26/9*d**3 + 2/9*d**4 + 44/9*d**2 + 0*d.
2*d**2*(d - 11)*(d - 2)/9
Let 6*o**2 + o**2 + 2478*o - 2*o**2 - 7539 + 1747*o - 931 = 0. What is o?
-847, 2
Let 44/5 + 178/5*n**3 + 62/5*n - 14/5*n**4 - 54*n**2 = 0. Calculate n.
-2/7, 1, 11
Suppose -416 = -5*n + 5*w + 284, -4*n + 5*w + 556 = 0. Suppose -n = -9*p - 63*p. Factor -v**p - v**4 - 3/2*v**3 - 1/4*v**5 - 1/4*v + 0.
-v*(v + 1)**4/4
Let b = 3057 - 3053. Let c(g) be the second derivative of 1/120*g**6 + 0*g**2 - 23*g + 0 + 0*g**5 - 1/48*g**b + 0*g**3. Factor c(x).
x**2*(x - 1)*(x + 1)/4
Let l(y) be the second derivative of 0*y**4 - 48*y + 0 - 1/5*y**5 - 4*y**2 + 2*y**3. Factor l(b).
-4*(b - 1)**2*(b + 2)
Let w be 1 - (3*5/5 + -7). Determine f so that -61*f**2 + 20*f**2 - w + 19*f**2 + 27*f**2 = 0.
-1, 1
Let o = -209 - -278. What is f in -623 - 10*f + 10*f**5 - o*f**3 + 611 + 11*f**5 - 2*f - 15*f**4 + 87*f**2 = 0?
-2, -2/7, 1
Let y(x) = -x**3 - 9*x**2 - x - 6. Let b be y(-9). Factor -25*t**b - 13*t - 1129*t**2 + 1169*t**2 - 14*t + 5*t**4 + 7*t.
5*t*(t - 2)**2*(t - 1)
Determine d, given that 2/13*d**3 + 134/13*d - 66/13 - 70/13*d**2 = 0.
1, 33
Let k(t) = -17 + 2*t**2 + 74*t + 213 - t**2 - 98*t. Let f(p) = -3*p**2 + 73*p - 588. Let n(x) = 4*f(x) + 11*k(x). Factor n(b).
-(b - 14)**2
Factor 0 + 2*f + 8/5*f**2 - 2/5*f**3.
-2*f*(f - 5)*(f + 1)/5
Suppose -2288/5*x + 762/5 + 2/5*x**4 + 2292/5*x**2 - 768/5*x**3 = 0. What is x?
1, 381
Let m(l) = 11*l**3 - 30*l**2 + 156*l - 8. Let u(v) = -8*v**3 + 31*v**2 - 155*v + 6. Let c(d) = 3*m(d) + 4*u(d). Factor c(f).
f*(f - 4)*(f + 38)
Suppose -397 = -11*v + 813. Let x = v + -97. Solve -x - 23*t - t**2 + 3*t - 4*t + 10*t = 0.
-13, -1
Let f(p) = 7*p**3 - 23*p**2 - 41*p - 31. Let b(v) = 2*v**3 + 2*v**2 + 11*v + 1. Let n(h) = 2*b(h) - f(h). Suppose n(j) = 0. What is j?
-1, 11
Let f(b) = 113*b**2 + 675*b - 15. Let z be f(-6). Let t(h) be the third derivative of 1/15*h**5 + 0*h - 4/3*h**4 + 32/3*h**z - 37*h**2 + 0. Factor t(w).
4*(w - 4)**2
Let q(k) be the first derivative of 2*k**2 + 5*k - 41 - 1/3*k**3. Factor q(r).
-(r - 5)*(r + 1)
Let t(d) = -3*d**3 - 513*d**2 - 1080*d - 543. Let z(l) = -4*l**2 - l. Let q(a) = t(a) + 9*z(a). Factor q(n).
-3*(n + 1)**2*(n + 181)
Suppose -10731*g + 10834*g + 35 - 241 = 0. Find j such that -1/2*j**g - 16 - 33/2*j = 0.
-32, -1
Let m be -56 + -1 + -2 + 30/10. Let t = 60 + m. Factor 24*a**5 - 9*a**5 - 5*a**4 - t*a**3 - 18*a**5 - 3*a**4.
-a**3*(a + 2)*(3*a + 2)
Factor -194984 + 1384 - b**2 - 222*b - 670*b - 214*b + 226*b.
-(b + 440)**2
Factor -54/5*f + 2/5*f**5 + 108/5 + 68/5*f**3 - 72/5*f**2 - 4*f**4.
2*(f - 3)**3*(f - 2)*(f + 1)/5
Let o(f) = 10*f**3 - 1080*f**2 + 7425*f - 10925. Let a(d) = 877 + 124 - 158*d + 94*d - d**3 + 213 + 120*d**2 - 761*d. Let p(v) = 35*a(v) + 4*o(v). Factor p(s).
5*(s - 11)**2*(s - 2)
Let b = -218337/5 + 43815. Let h = b + -147. Factor 1/5*j**5 + 0 - h*j + 2/5*j**3 - 4/5*j**4 + 4/5*j**2.
j*(j - 3)*(j - 1)**2*(j + 1)/5
Let z be (4/600)/(34/357). Let m(v) be the second derivative of 11*v - 1/10*v**2 - 3/20*v**4 - 1/75*v**6 + 0 - 1/6*v**3 - z*v**5. What is h in m(h) = 0?
-1, -1/2
Let z be 2631/(-24) - (-12)/480*-15. Let d be (-385)/z*-18*2/(-77). Find j, given that -2/11*j**2 + 2/11*j - d*j**3 + 0 - 8/11*j**5 - 2*j**4 = 0.
-1, 0, 1/4
Let b(v) be the third derivative of v**6/120 + 8*v**5/5 - v**4/24 - 16*v**3 