ivative of -t**6/240 - t**5/160 + t**4/96 + t**3/48 + 8*t + 5. Let u(c) be the first derivative of m(c). Factor u(v).
-v*(v - 1)*(v + 1)**2/8
Determine q, given that 42/5*q**2 - 3/5*q**5 - 3/5*q**3 + 12*q + 24/5 - 12/5*q**4 = 0.
-2, -1, 2
Suppose 2*z**2 + 16*z**3 - 5*z**5 + 22 - 63 - 4*z**4 + 24 - 11*z + 19 = 0. What is z?
-2, -1, 1/5, 1
Suppose 4*c = -4*r - 563 + 571, c - 10 = -5*r. Suppose -i**5 - 12/5*i**4 - 4/5*i**3 + c*i**2 + 0 + 0*i = 0. Calculate i.
-2, -2/5, 0
Let o(k) be the third derivative of k**7/315 - k**5/90 + 58*k**2. Suppose o(q) = 0. Calculate q.
-1, 0, 1
Suppose -22/3 + 2*h**2 - 50/9*h + 2/9*h**3 = 0. Calculate h.
-11, -1, 3
Let v(s) be the third derivative of -s**7/525 + s**6/20 - 37*s**5/75 + 11*s**4/5 - 24*s**3/5 - 105*s**2 + s. Let v(j) = 0. Calculate j.
1, 2, 6
Let a(l) be the second derivative of l**4/6 - 10*l**3 + 225*l**2 + 440*l. Factor a(m).
2*(m - 15)**2
Let i(q) be the second derivative of -1/12*q**4 - 8*q + 1/8*q**2 + 1/8*q**3 + 0. Factor i(r).
-(r - 1)*(4*r + 1)/4
Let a(u) be the third derivative of u**6/240 - u**5/4 + 21*u**4/4 - 98*u**3/3 - 181*u**2. Factor a(z).
(z - 14)**2*(z - 2)/2
Let d(p) be the first derivative of 5*p**4/4 - 5*p**3 - 5*p**2/2 + 15*p + 24. Factor d(a).
5*(a - 3)*(a - 1)*(a + 1)
Let w(i) be the second derivative of i**4/16 + 25*i**3/2 + 1875*i**2/2 + 188*i. Let w(r) = 0. What is r?
-50
Let t(h) be the second derivative of 3*h**7/7 - 11*h**6/15 - 26*h**5/5 + 2*h**4 - 5*h - 7. Find w, given that t(w) = 0.
-2, 0, 2/9, 3
Suppose 6*i - 8 + 26 = 0. Let g be 8 + 765/(-108) - i/4. Factor -11/3*j**2 + 2/3*j + 0 + g*j**3.
j*(j - 2)*(5*j - 1)/3
Factor 18/13*v - 48/13*v**2 + 4/13 + 2*v**3.
2*(v - 1)**2*(13*v + 2)/13
Solve 0*n + 3/8*n**4 + 0 + 0*n**3 + 0*n**2 + 3/8*n**5 = 0 for n.
-1, 0
Suppose 7*v - 24 = 18. Find t, given that t**2 - 4*t**5 + 5*t**4 - v*t**3 + 68 - 68 + 4*t**4 = 0.
0, 1/4, 1
Let o = -30888/5 - -6178. Suppose 2/5*p - 4/5 - o*p**3 + 4/5*p**2 = 0. Calculate p.
-1, 1, 2
Let a(x) be the third derivative of -x**7/30 + x**6/60 + 7*x**5/20 + x**4/3 - 2*x**3/3 - 82*x**2 + x. Factor a(k).
-(k - 2)*(k + 1)**2*(7*k - 2)
Let j(u) be the second derivative of 3*u**5/110 - u**4/6 - 19*u**3/33 - 5*u**2/11 + 105*u. Determine x so that j(x) = 0.
-1, -1/3, 5
Let f(i) = 21*i**3 - 143*i**2 - 120*i + 11. Let u(c) = -11*c**3 + 73*c**2 + 60*c - 6. Let w(d) = -6*f(d) - 11*u(d). Suppose w(t) = 0. What is t?
-1, 0, 12
Let m = 226 + -222. Let p(x) be the third derivative of -5*x**2 + 0*x**3 + 1/84*x**m + 1/420*x**6 - 1/105*x**5 + 0 + 0*x. Let p(c) = 0. Calculate c.
0, 1
Let i(k) = -8*k**2 - 27*k - 3. Let t(m) = -18*m**2 - 55*m - 7. Let f(s) = -14*i(s) + 6*t(s). Factor f(z).
4*z*(z + 12)
Let j(q) = -6380*q**3 + 11650*q**2 + 2375*q - 265. Let k(z) = -580*z**3 + 1059*z**2 + 216*z - 24. Let w(h) = -4*j(h) + 45*k(h). Let w(v) = 0. Calculate v.
-1/4, 2/29, 2
Let h(o) = 366*o - 1095. Let n be h(3). Suppose -4/3 + 6*a + 7/6*a**n - 5*a**2 = 0. Calculate a.
2/7, 2
Let n be 96/10 + 8/20. Find q such that 20*q**2 - n*q**3 + 0*q**3 - 6 + 10*q - 9 + 0*q**3 - 5*q**4 = 0.
-3, -1, 1
Let w = -3043 + 3046. Let s(x) be the second derivative of 0*x**w - 8*x + 0 + 1/120*x**6 - 3/80*x**5 + 0*x**2 + 1/24*x**4. Solve s(v) = 0.
0, 1, 2
Let s be (-156)/(-21)*(-14)/(-4). Let b be s/91 + 52/14. Factor -v**3 + 0*v**2 - 4*v**b - 6*v**2 - 14*v**3 - 2*v**4.
-3*v**2*(v + 2)*(2*v + 1)
Let q(h) be the third derivative of h**8/37800 - h**7/5400 - h**6/2700 + h**5/12 - 20*h**2. Let n(z) be the third derivative of q(z). Factor n(a).
2*(a - 2)*(4*a + 1)/15
Let v(s) be the third derivative of s**5/40 - s**4/15 + s**3/60 - 156*s**2 - s. Factor v(m).
(m - 1)*(15*m - 1)/10
Let f = 23129/15 + -4624/3. Factor 6/5*s - 3/5*s**3 + f*s**2 + 0.
-3*s*(s - 2)*(s + 1)/5
Let n be ((-1839)/(-18))/(((-609)/406)/((-3)/1)). Let 0 - 12*h - 49/3*h**5 + 322/3*h**4 + 92*h**2 - n*h**3 = 0. Calculate h.
0, 2/7, 3
Factor 1871*h**3 + 3*h**5 - 1874*h**3 - 5*h**2 + 6*h**4 - h**2.
3*h**2*(h - 1)*(h + 1)*(h + 2)
Let l(x) = -3*x + 24. Let v = -19 - -26. Let h be l(v). Factor 26*u**h - 26*u**3 + 4*u - 2*u**4 + 6*u**2.
-2*u*(u - 2)*(u + 1)**2
Let m(p) be the first derivative of p**3/12 - 3*p**2/4 - 266. Factor m(v).
v*(v - 6)/4
Let i(a) = 2*a**2 + 3*a. Let r be i(-2). Let p = 5009/11 - 455. Factor 1/11*f**3 + 2/11*f**r - p*f - 8/11.
(f - 2)*(f + 2)**2/11
Let t(b) be the third derivative of -b**6/10 - 8*b**5/15 + 2*b**4/3 - 5*b**3/6 - 32*b**2. Let u(x) be the first derivative of t(x). Factor u(n).
-4*(n + 2)*(9*n - 2)
Suppose 12*b - 13*b = -21. Suppose -5*y - 7 = -4*z + b, -5*z = 3*y + 2. Factor 2/5*l**z + 8/5 + 8/5*l.
2*(l + 2)**2/5
Let j(v) be the second derivative of v**4/48 + v**3/6 + 537*v - 1. Determine u so that j(u) = 0.
-4, 0
Let m(c) be the third derivative of c**6/660 + 2*c**5/55 + c**4/12 + 55*c**2 + 2*c. Suppose m(w) = 0. What is w?
-11, -1, 0
Suppose 2*t = -2*t + 12. Let i = -4 + 6. Factor -18*g - i - t*g**2 + 2 - 27.
-3*(g + 3)**2
Let 28/3*o**2 - 8*o**3 - 4/3*o**4 + 0*o + 0 = 0. Calculate o.
-7, 0, 1
Let a be 12 - (18 + -3 - 3). Suppose 2*h = u + 2, -u + 4*u = -4*h + 14. Solve 6/11*d**h + a + 0*d - 2/11*d**3 = 0 for d.
0, 3
Suppose 0 = -5*f - 7 - 3. Let z = f + 3. Let s(b) = 15*b**2 - 15*b. Let j(l) = -l**2 + l. Let i(r) = z*s(r) + 12*j(r). What is v in i(v) = 0?
0, 1
Factor -160*g - 215 - 206 + 421 + 4*g**2.
4*g*(g - 40)
Factor 0 - 1/4*l**2 + 41/4*l.
-l*(l - 41)/4
Let w = 510410 + -4600124/9. Let y = -714 - w. Factor -y*f**4 - 1/9*f**5 - 32/9*f**2 - 8/3*f**3 - 16/9*f + 0.
-f*(f + 2)**4/9
Let l(v) be the second derivative of v**8/1260 + v**7/2520 - v**6/270 - v**5/360 + 7*v**3/6 - 15*v. Let i(c) be the second derivative of l(c). Factor i(w).
w*(w - 1)*(w + 1)*(4*w + 1)/3
Factor -1/3*a**4 + 1/3*a**2 + 0 - 5/3*a + 5/3*a**3.
-a*(a - 5)*(a - 1)*(a + 1)/3
Let n(t) be the third derivative of 0*t + 1/168*t**8 + 2/35*t**7 + 8/15*t**5 - 13*t**2 + 3/4*t**4 + 2/3*t**3 + 7/30*t**6 + 0. Solve n(b) = 0 for b.
-2, -1
Find k, given that -2*k**2 + 8*k**5 - 22*k**2 + 30*k**3 + 0*k**4 - 3*k**4 + 0*k**3 - 11*k**5 = 0.
-4, 0, 1, 2
Let u(w) be the first derivative of w**5/20 - w**4/12 - w**3/6 + w**2/2 - w - 4. Let d(p) be the first derivative of u(p). Factor d(t).
(t - 1)**2*(t + 1)
Let t be 6/20*(703/(-76) - -13). Determine d, given that -3/4 + t*d - 3/8*d**2 = 0.
1, 2
Suppose -2*x + 7 = -b, 3*b + 0 = -3*x - 3. Let j be (-16)/12*9/(-4) + b. Factor 0*a - 2/7*a**3 + 12/7*a**4 - 16/7*a**5 + j + 0*a**2.
-2*a**3*(2*a - 1)*(4*a - 1)/7
Let d(l) be the second derivative of -5*l**7/42 - l**6/3 + l**5/4 + 5*l**4/6 + l + 18. Suppose d(u) = 0. What is u?
-2, -1, 0, 1
Let w be ((-13)/11 - 2/(-11)) + 1. Suppose -m + 4*i - i + 49 = w, -5*i = 2*m - 109. Determine f so that -16/5*f**2 + 0*f - 8/5*f**3 + 0 + m*f**4 + 90*f**5 = 0.
-2/5, 0, 2/9
Let g(q) be the second derivative of -q**5/30 - q**4/5 - 4*q**3/15 + 19*q**2/2 - 12*q. Let w(c) be the first derivative of g(c). Factor w(l).
-2*(l + 2)*(5*l + 2)/5
Let h be (2/(-87))/(-3 + 682/222). Let a = -2/29 - h. Factor -1 + a*z**2 + 3/4*z.
(z - 1)*(z + 4)/4
Factor -2*l - 1/5*l**4 + 0 - 8/5*l**3 + 19/5*l**2.
-l*(l - 1)**2*(l + 10)/5
Suppose -i - 14 = -8*i. Factor i*h**2 - 7*h**2 + 3*h**3 - 2*h + 0*h - h**4 - 7*h**3.
-h*(h + 1)**2*(h + 2)
Determine h, given that 73/2 - 37*h + 1/2*h**2 = 0.
1, 73
Let n(z) = -4*z + 8. Let x be n(1). Let a(v) be the third derivative of -2*v**2 + 0 + 0*v + 0*v**3 + 1/100*v**5 - 1/20*v**x. Factor a(d).
3*d*(d - 2)/5
Factor 40*p**2 - 174*p**4 - 4*p**5 + 158*p**4 + 40 + 32*p**3 - 46*p - 46*p.
-4*(p - 1)**3*(p + 2)*(p + 5)
Factor 0 - 26/11*o**3 + 12/11*o**2 + 16/11*o**4 + 0*o - 2/11*o**5.
-2*o**2*(o - 6)*(o - 1)**2/11
Factor -3/5*y**3 + 31/5*y**2 - 37/5*y + 9/5.
-(y - 9)*(y - 1)*(3*y - 1)/5
Let v(o) be the third derivative of -2*o**7/735 + o**6/105 - o**5/105 - 2*o**2 - 18*o. Let v(f) = 0. What is f?
0, 1
Let f(a) be the third derivative of a**8/504 - a**7/45 + a**6/12 - 13*a**5/90 + a**4/9 + 8*a**2 - 6. Determine h so that f(h) = 0.
0, 1, 4
Let m(z) be the first derivative of -z**6/10 + 24*z**5/25 - 18*z**4/5 + 34*z**3/5 - 69*z**2/10 + 18*z/5 - 43. Solve m(d) = 0.
1, 2, 3
Let u be (-245)/(-21) + -5 - 6. Let d(v) be the first derivative of 4/5*v - 6 + 7/5*v**2 + u*v**3. Suppose d(p) = 0. What is p?
-1, -2/5
Suppose -129 - 17 = -73*a. L