r) be the first derivative of 0*r**5 - 80 + 0*r + 0*r**3 - 1/4*r**4 + 0*r**2 + 1/6*r**6. Determine o, given that y(o) = 0.
-1, 0, 1
Let c(y) be the third derivative of y**7/504 + y**6/9 + 8*y**5/3 + y**4/4 + y**3/6 - 21*y**2. Let h(u) be the second derivative of c(u). Factor h(g).
5*(g + 8)**2
Let d(n) be the third derivative of n**8/168 - 2*n**7/35 + 11*n**5/15 + 5*n**4/4 - 5646*n**2. Let d(m) = 0. Calculate m.
-1, 0, 3, 5
Suppose 15*z = 752 - 242. Determine f so that -2*f - 2*f - 2*f + 16 + 26 - z + f**2 = 0.
2, 4
Let z(u) = 4. Suppose 3*n - 3 = -33. Let c(f) = f**2 + 2*f - 9. Let s(g) = n*z(g) - 4*c(g). Factor s(b).
-4*(b + 1)**2
Let p be (1 - -11)*1/3. Let r = p - -16. Suppose 20*l**3 - 2 + 0*l**3 + 4*l**4 + 12*l**2 - 14 - r*l + 0*l = 0. What is l?
-4, -1, 1
Let f be (-13)/26 + (-17)/(-2). Let o = 10 - f. Determine t so that -5*t - 5*t**4 + t**3 + 4*t**4 + 130*t**2 - 127*t**2 + o = 0.
-2, 1
Let t(n) be the first derivative of 2*n**3/3 + 2*n**2 - 16*n + 28. Let z be t(4). Let -z*f + f**2 + 9*f + 18*f = 0. What is f?
0, 5
Let j(k) be the first derivative of 1/19*k**2 + 76 + 12/19*k - 2/57*k**3. Factor j(g).
-2*(g - 3)*(g + 2)/19
Let w(g) be the first derivative of g**5/3 - 35*g**4/12 - 20*g**3/3 + 440*g**2/3 - 1600*g/3 + 4202. Factor w(q).
5*(q - 4)**3*(q + 5)/3
Suppose 3*p + 2*l = 202, -2*p - 2*l + 163 = 29. Let o = p - 25. Factor -o*f + 18*f + 196 - 17*f + 4*f**2 - 14*f.
4*(f - 7)**2
Let q be 2922/8 - (-35)/(-140). Suppose -q + 30 = -67*v. Find c such that 0*c**2 + 0 + 0*c + 0*c**3 - 10*c**v - 4/3*c**4 = 0.
-2/15, 0
Let y(s) = -2*s**2 + 8. Let z(u) = -157 - u + 91 + 76 + 0*u - 3*u**2. Let b(d) = 4*y(d) - 3*z(d). Suppose b(x) = 0. What is x?
-2, -1
Let n = 27457 + -137264/5. Factor 3/5*b**4 + 3*b**2 + 21/5*b - 18/5 - n*b**3.
3*(b - 6)*(b - 1)**2*(b + 1)/5
Let z(f) be the first derivative of 2*f**5/5 - 16*f**4 - 68*f**3 - 104*f**2 - 70*f - 646. Factor z(b).
2*(b - 35)*(b + 1)**3
Let n(d) = 4*d**2 - d + 2. Let x(o) = -3*o**3 - 36*o**2 + 666*o + 4788. Let q(u) = -6*n(u) - x(u). Factor q(z).
3*(z - 16)*(z + 10)**2
Let t(q) be the second derivative of -q**7/105 + 13*q**6/36 - 68*q**5/15 + 16*q**4/3 + 28*q**3/3 - 35*q. Let u(i) be the second derivative of t(i). Factor u(f).
-2*(f - 8)**2*(4*f - 1)
Let f be 9 - (5 - (-1)/1). Determine j so that 2*j**4 + 464*j**2 + 181 + 7253*j + 98*j**f - 6*j**3 + 847*j + 976*j**2 + 6569 = 0.
-15, -1
Let r(b) be the second derivative of -b**5/45 - 4*b**4/9 - 38*b**2 + 2*b - 86. Let p(k) be the first derivative of r(k). Factor p(c).
-4*c*(c + 8)/3
Find p, given that -147/4 + 36*p + 3/4*p**2 = 0.
-49, 1
Let q(x) be the second derivative of -x**6/480 - x**5/48 - x**4/12 - x**3/6 + 55*x**2/2 + 25*x. Let d(z) be the first derivative of q(z). Solve d(m) = 0 for m.
-2, -1
Factor 1139*y**2 + 1156*y**2 - 3550*y**2 + 8*y**3 + 1195*y**2 - 2025*y - 3*y**3.
5*y*(y - 27)*(y + 15)
Let p = -8005/17 - -40297/85. Determine v so that -16/5 - 4/5*v**2 + p*v = 0.
2
Let v be (-18)/21*(-3 + (-10)/6). Suppose v*w - 12 - 4 = 0. Factor -23*g**2 - 3*g**w + 11*g**2 + 16*g**3 - g**4.
-4*g**2*(g - 3)*(g - 1)
Let a(q) be the third derivative of -7*q**5/5 + 1679*q**4/96 + 5*q**3/24 - 4*q**2 + 3*q - 179. Solve a(r) = 0.
-1/336, 5
Let w(x) be the third derivative of 1/240*x**6 - 2*x**3 - 11/60*x**5 + 1/420*x**7 + 11/12*x**4 - 67*x**2 + 0 + 0*x. Factor w(b).
(b - 2)**2*(b - 1)*(b + 6)/2
Factor -67538*t**4 + 4*t**2 - 2*t**3 - 29*t**5 + 19*t**5 + 67522*t**4.
-2*t**2*(t + 1)**2*(5*t - 2)
Let m(n) be the first derivative of 27/4*n**4 + 0*n - 3*n**2 - 7*n**3 - 60. Determine s, given that m(s) = 0.
-2/9, 0, 1
Let r(u) = u**3 - 6*u**2 - 7*u + 12. Let b be r(3). Let p be (3/b)/(2/(-6)). Suppose -w**2 + 5/4*w - p = 0. Calculate w.
1/4, 1
Let p(c) = 17*c - 10. Let v be p(0). Let i be -1 - v/(-7) - (81 - 84). Determine y so that -4/7*y**2 + 2/7*y - 2/7*y**3 + i = 0.
-2, -1, 1
Let s be -7*(-5)/77*(11 + (0 - 3)). Let y(t) be the first derivative of -32/11*t + 2/11*t**5 + 1/33*t**6 - 13 - 5/22*t**4 - 50/33*t**3 + s*t**2. Factor y(j).
2*(j - 1)**3*(j + 4)**2/11
Let k(t) = 23*t**3 + 3677*t**2 + 10830*t + 7184. Let p(h) = -15*h**3 - 2450*h**2 - 7220*h - 4790. Let v(d) = 5*k(d) + 8*p(d). Let v(z) = 0. What is z?
-240, -2, -1
Let s(b) be the first derivative of 0*b + 1/30*b**6 + 0*b**4 + 32 - b**2 + 0*b**3 - 4/15*b**5. Let j(i) be the second derivative of s(i). Factor j(z).
4*z**2*(z - 4)
Let n be ((-270)/70 - -4)/(222/(-259)*2/(-8)). Suppose 2*p**2 + 0 - n*p - 2*p**3 + 2/3*p**4 = 0. Calculate p.
0, 1
Let b(w) be the second derivative of 0*w**2 + 1/12*w**3 - 78*w - 1/8*w**5 + 0 - 1/10*w**6 + 1/12*w**4. Let b(z) = 0. Calculate z.
-1, -1/3, 0, 1/2
Let t(a) be the first derivative of -512*a**5/5 - 1424*a**4 - 706*a**3/3 - 11*a**2 - 4796. Factor t(n).
-2*n*(n + 11)*(16*n + 1)**2
Let c(a) be the third derivative of -a**6/210 + 3*a**5/5 - 208*a**4/7 + 15872*a**3/21 + 559*a**2 - 3*a + 1. Factor c(n).
-4*(n - 31)*(n - 16)**2/7
Determine h, given that 0 + 1/7*h**3 - 40/7*h**2 + 0*h = 0.
0, 40
Let l be (498/6308)/(6/57). Factor 0 - l*s + 3/4*s**2.
3*s*(s - 1)/4
Let h(t) be the second derivative of -t**5/40 - 139*t**4/6 - 1109*t**3/12 - 277*t**2/2 - 16*t - 1. Factor h(w).
-(w + 1)**2*(w + 554)/2
Let i(n) be the second derivative of -n**6/90 - 109*n**5/60 - 53*n**4/18 + 12*n**3 + 1743*n - 1. Determine s, given that i(s) = 0.
-108, -2, 0, 1
Let b be (1*1/2)/((-1127)/392). Let s = b + 43/115. Factor 1/5*r**3 - s*r + 1/5*r**2 - 1/5.
(r - 1)*(r + 1)**2/5
Factor -4*y**3 - 8192 - 5*y**3 - 65*y**2 + 161*y**2 + 5*y**3.
-4*(y - 16)**2*(y + 8)
Let l(b) be the first derivative of b**4 - 5/3*b**3 - 213 - 1/5*b**5 + 0*b + b**2. Let l(s) = 0. Calculate s.
0, 1, 2
Let l(w) be the second derivative of 5/18*w**4 + 2/21*w**7 + 3 + 1/3*w**3 - 17/30*w**5 - 13/45*w**6 - 10*w + 0*w**2. What is v in l(v) = 0?
-1, -1/3, 0, 1/2, 3
Let t(k) = 1277*k + 6387. Let f be t(-5). Factor -1/4*v**f + 1/8*v + 0 + 1/8*v**3.
v*(v - 1)**2/8
Let z(p) = p + 13. Let v be z(-8). Suppose -d = 2*o + 2, -v*o - 11 = -1. Factor 4 - 540*h**2 - 10*h + 536*h**d + 10*h**3 + 0*h**3.
2*(h - 1)*(h + 1)*(5*h - 2)
Let g(w) be the third derivative of -7/30*w**5 - 2*w**2 - 320/9*w**3 - 4*w**4 - 1/180*w**6 - 10*w + 0. Factor g(d).
-2*(d + 5)*(d + 8)**2/3
Let o = -863 - -889. Let l(c) be the second derivative of 5/4*c**4 + 0*c**2 - o*c + 1/3*c**3 + 0 + 31/20*c**5 + 2/5*c**6. Factor l(z).
z*(z + 2)*(3*z + 1)*(4*z + 1)
Find p, given that 81/5*p**5 + 1008/5*p**4 + 2496/5*p + 256/5 + 1392*p**2 + 4324/5*p**3 = 0.
-4, -2/9
Let c(q) be the first derivative of 5/8*q**4 + 0*q - 1/20*q**5 + 0*q**2 + 118 + 0*q**3. Let c(a) = 0. What is a?
0, 10
Let x(h) be the third derivative of h**5/210 - 13*h**4/28 + 38*h**3/21 + 7318*h**2. Determine l so that x(l) = 0.
1, 38
Let k(m) be the third derivative of m**8/2856 + 22*m**7/85 + 5929*m**6/85 + 1826132*m**5/255 - 1252*m**2. Factor k(p).
2*p**2*(p + 154)**3/17
Suppose 38 = 13*o - 1. Suppose -43*j + 45*j - 5 = -3*k, 4*j - 19 = o*k. Factor 1/2*v + 1/2*v**j - 1/2*v**3 + 0 - 1/2*v**2.
v*(v - 1)**2*(v + 1)/2
Factor 0 + 47*n**4 + 0*n + 4900/3*n**2 - 1680*n**3 - 1/3*n**5.
-n**2*(n - 70)**2*(n - 1)/3
Factor 875*t**2 - 307*t**3 - 68*t + 62*t + 48*t**2.
-t*(t - 3)*(307*t - 2)
Let r(l) = 92*l**4 - 238*l**3 - 106*l**2 + 1040*l - 630. Let y(q) = 13*q**4 - 34*q**3 - 15*q**2 + 148*q - 91. Let a(p) = -6*r(p) + 44*y(p). Factor a(b).
4*(b - 2)**2*(b + 2)*(5*b - 7)
Determine g so that -1064*g + 19*g**3 - 460 + 1656*g - 23*g**3 - 188*g**2 + 60 = 0.
-50, 1, 2
Suppose 3*a + 15 = 5*c, -34 = 70*a - 72*a - 4*c. Find r, given that 0 - 484/3*r**3 - 4/3*r**a + 0*r**2 - 88/3*r**4 + 0*r = 0.
-11, 0
Suppose 1920 = -5*f + 760. Let n = f - -234. Factor 13/10*x + 2/5*x**n + 3/10.
(x + 3)*(4*x + 1)/10
Let m(a) be the second derivative of -67*a - 1/4*a**6 - 7/4*a**3 + 1/4*a**4 + 9/20*a**5 + 9/4*a**2 + 0 + 1/28*a**7. What is w in m(w) = 0?
-1, 1, 3
Let k(f) be the third derivative of f**7/420 + 13*f**6/40 + 27*f**5/2 - 225*f**4/2 - 27000*f**3 + 51*f**2 + 12*f. What is t in k(t) = 0?
-30, 12
Let u be (-1984)/160 - 18/(-5) - (0 - 1)*9. Suppose -2/5*y**2 - u*y**3 + 2/5 + 1/5*y = 0. What is y?
-2, -1, 1
Let w(m) be the first derivative of -2*m**5/35 + 27*m**4/14 - 2916*m**2/7 + 526. Suppose w(g) = 0. Calculate g.
-9, 0, 18
Let s be (11/21)/((-