irst derivative of v**5 + 13*v**4/4 - 5*v**3/3 - 15*v**2/2 - 2*v - 10. Let k(l) = -l**3 - 1. Let f(n) = 2*k(n) - q(n). Factor f(h).
-5*h*(h - 1)*(h + 1)*(h + 3)
Let a(t) be the second derivative of -t**8/8960 + t**7/1120 - t**6/320 + t**5/160 - 2*t**4/3 + 12*t. Let r(m) be the third derivative of a(m). Factor r(v).
-3*(v - 1)**3/4
Let c = 12431 - 124309/10. Let c*s**2 - 1/5*s + 0 = 0. Calculate s.
0, 2
Let l(d) be the second derivative of d**6/45 + d**5/120 - 84*d. Solve l(n) = 0.
-1/4, 0
Suppose 69*l**2 + 56*l**2 + 20*l - 123*l**2 = 0. What is l?
-10, 0
Solve 5/3*n**4 + 110/3*n**2 - 55/3*n**3 + 160*n - 480 = 0 for n.
-3, 4, 6
Let i(a) be the third derivative of -7*a**5/12 + 65*a**4/8 + 15*a**3 + 4*a**2 + 4. Factor i(x).
-5*(x - 6)*(7*x + 3)
Let k = -19580 + 97906/5. Factor -24/5*u**2 + 0 - k*u**3 + 24/5*u + 6/5*u**4.
6*u*(u - 2)*(u - 1)*(u + 2)/5
Factor 6/5*b**3 + 6/5*b**2 + 0 + 2/5*b + 2/5*b**4.
2*b*(b + 1)**3/5
Let y(j) be the third derivative of 0*j - 12*j**2 + 27/2*j**3 - 3/4*j**4 + 1/60*j**5 + 0. Solve y(t) = 0 for t.
9
Let d(s) = -s**3 + 2*s**2 + 68. Let p be d(0). Determine i so that -6*i**2 - p*i**4 + 67*i**4 - 4*i**3 - 2*i + i**2 = 0.
-2, -1, 0
Suppose 0*g - 3*g = -15. Suppose -29 = -g*v + 3*j, 4*v - 3*j - 21 = v. Solve l**3 - 2*l**v - 2*l**3 + 2*l**2 + l**3 = 0 for l.
-1, 0, 1
Let j(l) = -3*l**5 - 29*l**4 + 42*l**3 + l**2 - 39*l + 14. Let t(q) = -2*q**5 - 20*q**4 + 28*q**3 + q**2 - 26*q + 9. Let m(i) = -5*j(i) + 7*t(i). Factor m(x).
(x - 1)**3*(x + 1)*(x + 7)
Let x(l) be the second derivative of -l**8/11200 + l**7/1400 + l**6/1200 - 3*l**5/200 - l**4/2 - 10*l. Let z(g) be the third derivative of x(g). Factor z(h).
-3*(h - 3)*(h - 1)*(h + 1)/5
Let k(d) be the first derivative of -19 - 7*d**4 + 3*d - d**4 + 2*d**4 - 88*d**3 - 9*d**2 + 100*d**3. Factor k(q).
-3*(2*q - 1)**3
Factor -2/5*k**2 - 4 + 14/5*k.
-2*(k - 5)*(k - 2)/5
Let z(m) be the first derivative of -2*m**6/9 - 56*m**5/15 - 15*m**4 + 224*m**3/9 + 392*m**2/3 + 527. Suppose z(j) = 0. Calculate j.
-7, -2, 0, 2
Let j(c) = 77*c**3 + 384*c**2 - 280*c + 58. Let o(d) = -38*d**3 - 192*d**2 + 140*d - 28. Let f(h) = -2*j(h) - 5*o(h). Factor f(g).
4*(g + 6)*(3*g - 1)**2
Let g be (-3345)/36 - (-4)/(-12). Let b = g - -94. Find q such that -b*q**2 + 0 + 3/2*q = 0.
0, 2
Let z be (-24)/10*(-20 - (-2860)/156). Factor 0*b**z + 1/4*b**5 + 0 + 0*b - 3/4*b**3 - 1/2*b**2.
b**2*(b - 2)*(b + 1)**2/4
Let p(y) be the third derivative of y**7/140 + y**6/40 - y**5/5 - 70*y**2. Factor p(n).
3*n**2*(n - 2)*(n + 4)/2
Factor -4*b - 26/3*b**2 + 48 - 2/3*b**3.
-2*(b - 2)*(b + 3)*(b + 12)/3
Solve 2*g**2 + 2*g - 4 + 22 - 3*g**2 + 30 = 0.
-6, 8
Find i, given that -4/7*i**3 + 36/7*i - 20/7 - 12/7*i**2 = 0.
-5, 1
Let a(m) be the third derivative of -m**8/672 - m**7/420 + m**6/40 + m**5/30 - m**4/6 - 15*m**2. Find t such that a(t) = 0.
-2, 0, 1, 2
Let t(z) = z**2 + 6*z - 6. Let b be t(-7). Suppose -4*j + 2 = o - b, o = 4*j - 13. Factor -14*p**2 - 2*p**4 + 30*p**2 - 16*p**2 + j*p**3.
-2*p**3*(p - 1)
Let z(h) be the third derivative of -h**8/112 - 9*h**7/350 + 7*h**6/200 + 9*h**5/100 - h**4/20 + 164*h**2. Solve z(r) = 0.
-2, -1, 0, 1/5, 1
Let w(x) be the first derivative of -2*x**2 - 17 - 4/3*x - 8/9*x**3. Factor w(l).
-4*(l + 1)*(2*l + 1)/3
Let w(b) be the second derivative of b**4/4 + 13*b**3/6 + 2*b**2 - 8*b. Factor w(p).
(p + 4)*(3*p + 1)
Let g(q) be the third derivative of 7/12*q**6 + 15/8*q**4 + 0*q + 9*q**2 + 0 + 5/336*q**8 - 4/3*q**5 - 5/3*q**3 - 1/7*q**7. Factor g(v).
5*(v - 2)*(v - 1)**4
Suppose -97*r**2 + 880*r**3 + 2*r**4 - 23*r**2 + 3*r**4 - 855*r**3 = 0. Calculate r.
-8, 0, 3
Let b be (-489)/(-42) - (37 + -26). Let g(d) be the first derivative of 0*d - b*d**2 + 3 - 1/7*d**3. Factor g(q).
-3*q*(q + 3)/7
Let d(l) = l**3 - 2*l**2 + 3*l + 2. Let z(k) = -k**3 + k**2. Let c be (7 - 0)*10/7. Let p = -12 + c. Let b(u) = p*d(u) - 4*z(u). Factor b(h).
2*(h - 2)*(h + 1)**2
Factor -92*d**2 - 64*d - 2*d**3 - 61 + 37*d**2 + 33*d**2 + 5.
-2*(d + 2)**2*(d + 7)
Let o be (4 - -1) + (3 - 3). Let j be o - (-3 + 2 - -1). Let j*z**3 - 3*z + 3*z - z**3 + 4*z**2 = 0. Calculate z.
-1, 0
Let 6*m**5 - 56/3*m**2 - 52/3*m**3 - 16/3*m + 0 + 2*m**4 = 0. What is m?
-1, -2/3, 0, 2
Let k be (14 - 13) + (228/14)/2. Factor -48/7*r - k - 12/7*r**2 - 1/7*r**3.
-(r + 4)**3/7
Let t(z) be the first derivative of 3*z**4/20 + 3*z**3/5 - 24*z**2/5 + 36*z/5 - 2. Factor t(d).
3*(d - 2)*(d - 1)*(d + 6)/5
Let w(u) be the first derivative of 0*u**4 + 2 - 1/1620*u**6 + 0*u**2 - 5/3*u**3 + 0*u**5 + 0*u. Let v(t) be the third derivative of w(t). Factor v(q).
-2*q**2/9
Solve -2*v**2 - 51 + 8*v - 32 - 19 + 20*v + 4 = 0 for v.
7
Determine f, given that -651*f**2 - 659*f**2 + 1958*f**2 + 504*f + 944*f - 131044 - 652*f**2 = 0.
181
Let b(w) be the third derivative of -1/2520*w**8 + 0 + 8*w**2 + 1/450*w**6 + 7/180*w**4 - 2/45*w**3 + 0*w + 2/1575*w**7 - 4/225*w**5. Factor b(r).
-2*(r - 1)**4*(r + 2)/15
Suppose 2*u = -3*q + 53, -q - 44 = -5*q + 4*u. Suppose y - 6*y = -q. Suppose 0*w - 1/3*w**4 + 0 + 1/3*w**2 + 0*w**y = 0. What is w?
-1, 0, 1
Let v(c) be the first derivative of 0*c**3 - 2*c**2 - 2 - 1/12*c**4 + 1/60*c**5 + 0*c. Let d(w) be the second derivative of v(w). Let d(x) = 0. Calculate x.
0, 2
Factor 3*g**4 - 28 - 33*g**2 - 54 + 27*g**3 + 112 - 27*g.
3*(g - 1)**2*(g + 1)*(g + 10)
Let l be (3 - 60/16)*-8. Factor 49*u - l*u**3 - 14*u**3 + 5*u**4 - 49*u + 20*u**2.
5*u**2*(u - 2)**2
Let u(d) be the second derivative of 3*d + 0 + 0*d**2 + 1/2*d**3 + 1/14*d**7 - 3/10*d**5 + 0*d**6 + 0*d**4. Solve u(a) = 0 for a.
-1, 0, 1
Factor 40*u**2 + 97*u**3 - 55*u**3 - 47*u**3.
-5*u**2*(u - 8)
Let j be 1/3 - (-10)/15. Let r = 17 - 15. Find l such that 3*l**3 - 13*l**2 - j + 25*l - 23 + 11*l - 5*l**r = 0.
2
Let j(o) = -10*o**3 - 13*o**2 + 13*o + 8. Suppose 21*i - 4 = 23*i. Let k(d) = d**2 - d - 1. Let h(p) = i*k(p) + j(p). Determine c, given that h(c) = 0.
-2, -1/2, 1
Let v be ((-2)/(-138))/((-2)/(-60)). Let a = v + 134/115. Factor 16/5 + 1/5*g**2 - a*g.
(g - 4)**2/5
Let w(i) be the first derivative of -1/120*i**6 + 7 + 0*i**5 + 1/8*i**4 + 2*i**3 + 0*i + 0*i**2. Let n(g) be the third derivative of w(g). Factor n(o).
-3*(o - 1)*(o + 1)
Factor 0 + 4*m - 1/7*m**2.
-m*(m - 28)/7
Suppose 5*s + 4*g = 9, 2 + 0 = s + g. Let u be s*-6 + 3 - -34. Factor -34*c**2 + u*c**2 + 0*c**4 - 3*c**4 - 6*c**3.
-3*c**2*(c + 1)**2
Let n = -1300 - -2651/2. Let p = n + -25. What is j in 0*j**3 - p*j**2 + 1/4*j**4 + 0*j + 1/4 = 0?
-1, 1
Let s(b) = -b. Let k be 18/27 + 6*(-30)/27. Let l(w) = -5*w**2 + 2*w + 2*w**2 + w. Let d(r) = k*s(r) - l(r). Factor d(f).
3*f*(f + 1)
Factor 24*x + 1080 + 2/15*x**2.
2*(x + 90)**2/15
Let i = 357 - 352. Let w(d) be the first derivative of 3*d**2 + i + 2/3*d**3 + 4*d. Factor w(b).
2*(b + 1)*(b + 2)
Let h(a) = -a**3 + a**2 - 4*a + 4. Let w be h(1). Let u = 96 + -96. Solve -2/5*c**3 + u*c + 0 + w*c**2 = 0 for c.
0
Let d(z) be the first derivative of 2/9*z**2 - 40/27*z**6 + 0*z + 19/9*z**4 + 4/5*z**5 + 42 - 4/3*z**3. Determine b so that d(b) = 0.
-1, 0, 1/5, 1/4, 1
Let n(l) = -4*l**2 + 104*l - 136. Let w(g) = g**2 - 35*g + 45. Let j(u) = 3*n(u) + 8*w(u). Find k such that j(k) = 0.
2, 6
Let f(y) be the second derivative of -y**6/90 - 23*y**5/120 + 13*y**4/24 - y**3/36 - 13*y**2/12 + 522*y - 2. Let f(s) = 0. Calculate s.
-13, -1/2, 1
Let t be 0 - ((338/(-6))/(-13) - 5). Factor -4/3 + 4/3*h**2 - t*h + 2/3*h**3.
2*(h - 1)*(h + 1)*(h + 2)/3
Suppose 0 = -4*h + 2*p + 18, -p - p = -2*h + 6. Suppose -4*d**2 + 0*d + h + 8*d + 6*d**2 = 0. Calculate d.
-3, -1
Factor 3/4*z + 1/4*z**2 + 0.
z*(z + 3)/4
Let f be (-42)/(-48)*69/161. Suppose -f*g**4 + 15/4*g**3 + 33/4*g - 9*g**2 - 21/8 = 0. What is g?
1, 7
Let h(t) = -t. Let z(f) = 3*f**2 + 2. Let r(x) = h(x) + z(x). Let w be r(1). What is d in -6/5*d**2 + 0 - 2/5*d - 2/5*d**w - 6/5*d**3 = 0?
-1, 0
Let b(v) be the third derivative of -1/24*v**6 - 5/36*v**5 + 0 + 2*v**2 + 5/24*v**4 + 5/18*v**3 + 0*v + 2/63*v**7. Find f, given that b(f) = 0.
-1, -1/4, 1
Let t(a) be the first derivative of 7*a**5/5 + 37*a**4/4 - 32*a**3/3 - 6*a**2 + 74. What is p in t(p) = 0?
-6, -2/7, 0, 1
Let g(s) be the third derivative of -s**6/12 + 19*s**5/12 - 185*s**4/24 + 35*s**3/3 + 381*s**2. Factor g(h).
-5*(h - 7)*(h - 2)*(2*h - 1)
Let j(v) = v**2 - 10*v + 14. L