*u**6. Determine n so that l(n) = 0.
7
Let m(o) be the first derivative of -552*o + 552*o - o**5 - 15. Factor m(v).
-5*v**4
Let k = -98/501 + 10717/1002. Let k*i + 3/4*i**2 + 147/4 = 0. Calculate i.
-7
Let h(y) = -15*y**3 - 580*y**2 - 22815*y - 296595. Let f(b) = 13*b**3 + 581*b**2 + 22815*b + 296595. Let q(c) = 5*f(c) + 4*h(c). Solve q(i) = 0 for i.
-39
Solve -236*n**5 + 788*n**3 + 720*n**2 + 268*n**4 - 108 + 464*n**5 - 162*n - 198*n**5 = 0 for n.
-3, -1/3, 2/5
Let c(s) be the first derivative of -2*s**3/33 + 3*s**2/11 + 20*s/11 - 144. Suppose c(g) = 0. Calculate g.
-2, 5
Let y(w) = -3*w**3 + 942*w**2 + 5*w. Let z(h) = h**3 - 470*h**2 - 3*h. Let l(n) = -3*y(n) - 5*z(n). Factor l(f).
4*f**2*(f - 119)
Let p(v) be the third derivative of v**5/60 - v**4/24 + 17*v**2. Let b(f) = f**4 + 3*f**3 + 4*f**2. Let z(w) = 4*b(w) - 4*p(w). Factor z(t).
4*t*(t + 1)**3
Let q = -1732 - -1734. Let h = -135/4 - -34. Factor -1/4*r + 1/2 - h*r**q.
-(r - 1)*(r + 2)/4
Let x(r) = -95 + 305 + 15*r**2 - 173*r - 22*r. Let z(i) = -2*i**2 + 28*i - 30. Let d(h) = 3*x(h) + 20*z(h). What is j in d(j) = 0?
2, 3
Let j be 0 + (-1)/(-2 - 0). Let y = 1277/2552 + -1/2552. Solve -j*t - y*t**2 + 0 = 0 for t.
-1, 0
Let j(n) be the third derivative of 0 + 9*n**2 + 0*n + 1/3*n**4 - 1/45*n**5 + 0*n**3. Determine s, given that j(s) = 0.
0, 6
Solve -23 - 2*k + 17 + 5*k + 3*k**2 + 0*k = 0 for k.
-2, 1
Let b = -10 - -12. Suppose -b*q = 2 - 6. Let -3*y - y**3 + 4*y + 4*y**q + 1 - 5*y**2 + 0 = 0. What is y?
-1, 1
Factor 4608/13*r + 2/13*r**3 + 0 - 192/13*r**2.
2*r*(r - 48)**2/13
Let w(l) be the third derivative of l**5/12 - 65*l**4/8 - 100*l**3/3 + 3*l**2 + 27. Factor w(m).
5*(m - 40)*(m + 1)
Let o = 814 - 814. Let z(b) be the third derivative of 0 - 13*b**2 + 1/180*b**5 - 1/24*b**4 + o*b + 1/9*b**3. Let z(p) = 0. What is p?
1, 2
Factor 26*z**2 - 200 + 12*z**2 - 594*z + 754*z + 2*z**3.
2*(z - 1)*(z + 10)**2
Suppose -4*p = -2*n - 10, 4*n + 0*p - 4 = 2*p. Find g, given that 9*g**4 - 16*g**5 - 5*g**3 + 21*g**5 - 5*g**2 - g**4 - n*g**4 = 0.
-1, 0, 1
Let o(r) be the third derivative of 4/9*r**3 + 1/1260*r**7 + 1/6*r**4 + 0*r + 0 + 1/360*r**5 - 1/120*r**6 + 17*r**2. Find d such that o(d) = 0.
-1, 4
Let m(g) be the third derivative of -g**5/15 - g**4/2 + 12*g**3 + 84*g**2 - g. Factor m(d).
-4*(d - 3)*(d + 6)
Let a = 23 + -22. Let p = a + 1/3. Determine d, given that -2*d**2 + p*d + 4/3*d**3 - 1/3*d**4 - 1/3 = 0.
1
Let l(d) be the third derivative of -d**6/24 + 5*d**5/6 - 55*d**4/8 + 30*d**3 + d**2 - 9. Factor l(t).
-5*(t - 4)*(t - 3)**2
Let y(v) be the second derivative of -2/25*v**5 - 4/15*v**4 + 0 + 2/75*v**6 + 4/15*v**3 - 8*v + 6/5*v**2. Factor y(w).
4*(w - 3)*(w - 1)*(w + 1)**2/5
Factor -5*r**2 + 4*r + r**5 - 3*r**3 + 10*r**5 + 0*r + 5*r**4 - 12*r**5.
-r*(r - 4)*(r - 1)**2*(r + 1)
Let m(r) be the second derivative of r**7/168 - r**6/30 - 3*r**5/40 + r**4/12 + 5*r**3/24 + 81*r - 1. Factor m(i).
i*(i - 5)*(i - 1)*(i + 1)**2/4
Let u(o) be the third derivative of o**8/171360 + o**7/7140 + o**6/680 - o**5/60 - 3*o**2. Let b(t) be the third derivative of u(t). Factor b(l).
2*(l + 3)**2/17
Let p be (-24)/560*-10*(-2 - (-7 - -3)). Solve -2/7*q**2 + 0 + p*q**3 + 0*q = 0.
0, 1/3
Let m(r) be the first derivative of 5*r**4 + 148*r**3/3 + 128*r**2 + 80*r + 65. Factor m(u).
4*(u + 2)*(u + 5)*(5*u + 2)
Let d(h) be the first derivative of -5*h**3/3 + 95*h**2/2 - 90*h - 11. Let d(b) = 0. What is b?
1, 18
Let h(p) = p**2 - 7*p + 3. Let f be h(6). Let g be (f/(-3))/(20/35). Solve -g*x**2 + 0 + 3/4*x = 0 for x.
0, 3/7
Let m(a) = -a**3 - 8*a**2 - 4*a + 13. Let r be m(-6). Let d be 28/r*5/(-2). Solve 2*z**4 + 5*z**2 + 64*z**5 - z**d + 8*z**3 - 63*z**5 + 3*z**4 = 0 for z.
-2, -1, 0
Let -96*z - 144/7 - 484/7*z**3 - 124/7*z**4 - 124*z**2 - 12/7*z**5 = 0. What is z?
-3, -2, -1/3
Let d(m) = -m - 32. Let t be d(-38). Suppose -t + 21 = 5*j. Factor 0 + 2/5*q + 2/5*q**j - 4/5*q**2.
2*q*(q - 1)**2/5
Let x(g) be the third derivative of -g**9/50400 - g**8/5600 - 19*g**5/30 - 19*g**2 - 2. Let j(s) be the third derivative of x(s). Factor j(c).
-6*c**2*(c + 3)/5
Factor 17/4*r**2 + 3/4 + 7/4*r**3 + 13/4*r.
(r + 1)**2*(7*r + 3)/4
Let n(a) be the first derivative of -2*a**5/35 - 3*a**4/2 - 80*a**3/7 - 100*a**2/7 - 58. Let n(f) = 0. What is f?
-10, -1, 0
Suppose -8*g + 38 = 198. Let d be (-3)/(-2) + (75/g)/3. Suppose 3/4 - p + d*p**2 = 0. Calculate p.
1, 3
Let -10/13*k**4 + 40/13*k**2 + 0 + 2/13*k**5 + 48/13*k - 20/13*k**3 = 0. Calculate k.
-2, -1, 0, 2, 6
Let w = -7 - -9. What is b in -3*b**2 + 6*b**w - 4*b**2 + 0*b**2 = 0?
0
Determine s so that 1/2*s**5 - 16/3*s + 0*s**2 + 0 + 9*s**3 + 25/6*s**4 = 0.
-4, -1, 0, 2/3
Let k(o) = -o**4 - o**3 - 2*o**2 - o - 1. Let b(r) = -r**4 - 7*r**3 - 5*r**2 - r + 2. Let u(t) = -b(t) - 2*k(t). Let u(d) = 0. What is d?
-1, 0
Suppose 5*w - 5*b - 6 = -31, -2*w = b - 5. Suppose -732*t - 14 = -739*t. Factor 2*y + 2*y**t + w + 1/2*y**3.
y*(y + 2)**2/2
Let f(r) be the third derivative of 1/70*r**5 - 1/245*r**7 + 0*r**3 - 3*r**2 - 3 + 1/84*r**6 - 1/1176*r**8 + 0*r - 1/21*r**4. Let f(g) = 0. What is g?
-4, -1, 0, 1
Let t(x) be the second derivative of -x**5/100 - 7*x**4/12 - 323*x**3/30 - 289*x**2/10 - 3*x - 3. Factor t(h).
-(h + 1)*(h + 17)**2/5
Let t(a) be the third derivative of a**6/600 - a**5/20 + 5*a**4/8 - 25*a**3/6 - 36*a**2 - 1. Solve t(c) = 0.
5
Let -1484*x**2 - 343*x**4 + 65*x - 135*x**5 + 50 + 70*x**3 + 1033*x**4 + 744*x**2 = 0. Calculate x.
-1, -2/9, 1/3, 1, 5
Factor -5/2*c**3 - 18060*c + 17640 + 845/2*c**2.
-5*(c - 84)**2*(c - 1)/2
Let f(r) be the second derivative of 3*r**5/20 + 3*r**4/4 - 5*r**3 - 36*r**2 - 30*r - 7. Find a such that f(a) = 0.
-4, -2, 3
Let c(s) be the third derivative of 0 - 1/30*s**6 - 1/3*s**4 + 0*s**3 + 0*s + 35*s**2 + 1/5*s**5. Suppose c(f) = 0. Calculate f.
0, 1, 2
Let k(q) = -175*q**2 + 195*q - 25. Let h(u) = -87*u**2 + 97*u - 12. Let b(t) = 5*h(t) - 2*k(t). What is c in b(c) = 0?
2/17, 1
Let s(o) be the third derivative of -o**7/1260 - o**6/144 - o**5/120 + 5*o**4/144 + o**3/9 + 38*o**2. Solve s(w) = 0 for w.
-4, -1, 1
Find c such that 38/13*c + 2/13*c**2 + 36/13 = 0.
-18, -1
Let k(i) be the second derivative of 4/15*i**3 + 8/5*i**2 - 19*i + 0 + 1/60*i**4. Factor k(g).
(g + 4)**2/5
Let h be (-351)/(-390)*(-10)/(-24)*-1. Let n = 27/56 - h. What is s in 12/7*s**2 - 6/7*s**4 + 2/7*s**5 - 4/7*s**3 + 2/7*s - n = 0?
-1, 1, 3
Let o(i) be the first derivative of -6*i**5/5 - 9*i**4/4 + i**3 + 9*i**2/2 + 3*i + 90. Suppose o(l) = 0. Calculate l.
-1, -1/2, 1
Let t(q) = -6*q**2 + 16*q + 22. Let b(c) = 5*c**2 - 15*c - 20. Let r(o) = -5*b(o) - 4*t(o). Factor r(y).
-(y - 12)*(y + 1)
Let t be (21*8/(-300))/(105/(-150)). Suppose -t*i**2 - 24/5*i + 28/5 = 0. What is i?
-7, 1
Let o(l) be the first derivative of -25 - 7/2*l**2 + 10*l + 1/3*l**3. Factor o(c).
(c - 5)*(c - 2)
Let t(f) = -f**2 - 26*f - 13. Let w be t(-25). Let s be (-18)/w*8/(-18). Find v, given that -4/3*v**3 + 2/3 + 4/3*v - s*v**4 + 0*v**2 = 0.
-1, 1
Let s(b) = b**3 - 2*b**2 + b + 1. Let x be s(2). Suppose 2 = 4*r - 6. What is h in 0*h**2 - 3*h - 3*h**2 + 3 - h**3 + 6*h**3 - r*h**x = 0?
-1, 1
Let y(t) = t**2 - 54*t + 48. Let x(j) = j. Let i(b) = 5*x(b) + y(b). Solve i(l) = 0.
1, 48
Let y(c) be the third derivative of c**6/420 - 19*c**5/210 + 20*c**4/21 + 100*c**3/21 + 465*c**2. Factor y(w).
2*(w - 10)**2*(w + 1)/7
Let t = 69 + -64. Let h(j) be the second derivative of 0 + 5/8*j**4 + 3/4*j**2 + 3/20*j**t - 2*j + j**3. Factor h(k).
3*(k + 1)**2*(2*k + 1)/2
Let b(w) be the first derivative of w**6 - 51*w**5/5 + 1035*w**4/32 - 185*w**3/8 - 249*w**2/8 - 9*w + 362. Solve b(y) = 0 for y.
-1/4, 2, 3, 4
Suppose 2*f + 25 = 5*z, 4*z + 79 - 99 = 5*f. Let u(d) be the second derivative of 3/4*d**2 - 2*d - 1/8*d**4 + f + 3/40*d**5 - 1/4*d**3. Factor u(b).
3*(b - 1)**2*(b + 1)/2
Let d(p) be the third derivative of p**7/280 + p**6/60 + 17*p**3/3 - 15*p**2. Let v(l) be the first derivative of d(l). Factor v(s).
3*s**2*(s + 2)
Let q(z) = 3*z. Let u be q(-3). Let d be 4/(-1 - 21/u). Solve -4/7 + 2/7*y**4 - 6/7*y**d + 6/7*y + 2/7*y**2 = 0 for y.
-1, 1, 2
Let a(f) = -f**3 + 17*f**2 + 20*f - 36. Let p be a(18). Let o be p + ((-24)/(-9) - 2)/2. What is i in -1/3*i**3 - o + 1/3*i + 1/3*i**2 = 0?
-1, 1
Let k be 8/((-5760)/7192) - -10. Let w(b) b