 13*k**6/40 + 123*k**5/80 - 125*k**4/48 + 7*k**3/4 + 16*k - 29. Let q(p) = 0. What is p?
-42, 0, 1
Factor -256/3*f - 4/9*f**3 + 100/9*f**2 + 208.
-4*(f - 13)*(f - 6)**2/9
What is h in 7*h**5 + 4 + 0*h**2 - 1732*h**4 + 1716*h**4 - 4 + 11*h**3 - 2*h**2 = 0?
0, 2/7, 1
Let w = 307723/45 + -6838. Let v(p) be the second derivative of -23/15*p**5 + 175/9*p**3 - w*p**6 + 0 - 125/3*p**2 + 5/9*p**4 - 1/63*p**7 - 24*p. Factor v(o).
-2*(o - 1)**2*(o + 5)**3/3
Let q(w) be the third derivative of w**5/60 + 7*w**4/4 + 60*w**3 + 8519*w**2. Solve q(h) = 0 for h.
-30, -12
Let k(l) = -48*l**3 - 1010*l**2 + 7612*l - 17183. Let w(q) = 4*q**3 + 92*q**2 - 692*q + 1562. Let y(b) = 2*k(b) + 23*w(b). Factor y(u).
-4*(u - 13)*(u - 6)*(u - 5)
Let l(x) = -x**3 - 6*x**2 + 6. Let n be l(-6). Let v(o) = -o**3 - 11*o**2 + 30*o - 18. Let s(a) = -a**3 + a**2. Let t(q) = n*s(q) - 2*v(q). Factor t(u).
-4*(u - 3)**2*(u - 1)
Let r(n) = -28*n + 227. Let y(o) = 78*o + 866. Let k be y(-11). Let f be r(k). Factor 289/11*m**4 - 76/11*m - 646/11*m**f + 4/11 + 39*m**2.
(m - 1)**2*(17*m - 2)**2/11
Factor -9*k**2 - 69/2*k - 1/2*k**3 + 44.
-(k - 1)*(k + 8)*(k + 11)/2
Let w(q) = 13*q**3 - 115*q**2 + 936*q - 1771. Let v(f) = -15*f**3 + 111*f**2 - 936*f + 1770. Let r(c) = -5*v(c) - 6*w(c). Factor r(z).
-3*(z - 37)*(z - 4)**2
Let r = 224 + -1343/6. Let n(h) be the third derivative of 19*h**2 - r*h**4 + 0*h**3 + 1/60*h**5 + 0 + 0*h. Solve n(m) = 0.
0, 4
Let r(y) be the first derivative of -9 - 10*y**2 + 22/3*y**3 + 5*y**4 - 22*y. Let g(n) = n**3 + n**2 - n - 1. Let h(o) = -44*g(o) + 2*r(o). Factor h(b).
-4*b*(b - 1)*(b + 1)
Let l = -62/3353 - -13308739/36883. Factor -126/11*h - l - 1/11*h**2.
-(h + 63)**2/11
Let s(l) be the third derivative of -l**8/1344 + l**7/168 + l**6/96 - 5*l**5/48 - 5*l**4/12 - 2*l**3/3 + 2327*l**2. Factor s(r).
-(r - 4)**2*(r + 1)**3/4
Let d(h) = -h**4 + 14*h**3 + 36*h**2 + 21*h - 12. Let x(a) = 2*a**4 - 42*a**3 - 106*a**2 - 62*a + 32. Let r(q) = -8*d(q) - 3*x(q). Factor r(p).
2*p*(p + 1)*(p + 3)**2
Let h be -1*5/20*-12. Factor w**4 + 4*w + 3*w**2 + 6*w**3 - 4 - 2*w**h - 8*w**3 + 0*w.
(w - 2)**2*(w - 1)*(w + 1)
Let x(y) be the first derivative of -y**5/4 + 5*y**4/6 + 20*y**3/3 - 63*y + 10. Let v(h) be the first derivative of x(h). Determine k, given that v(k) = 0.
-2, 0, 4
Suppose 0*u - 1/4*u**3 + 151/4*u**2 + 0 = 0. Calculate u.
0, 151
Factor -32/5*s**2 + 4/5*s**3 - 148/5*s + 176/5.
4*(s - 11)*(s - 1)*(s + 4)/5
Let s be 78/(-52) + 27/4*34. Let o = s - 225. Factor -45/4*u**2 + 5/4*u**o - 5 + 5/4*u**4 + 55/4*u.
5*(u - 1)**3*(u + 4)/4
Let c be 80/20*(153/(-18))/(-17). Suppose -5*a - 1 + 31/4*a**3 - 11/4*a**5 + 17/4*a**c - 13/4*a**4 = 0. What is a?
-2, -1, -2/11, 1
Let o(z) be the second derivative of -19/2*z**4 - 18 - 1/2*z**3 - z - 1083/20*z**5 + 0*z**2. Factor o(l).
-3*l*(19*l + 1)**2
Let w(g) = 4*g**2 - g. Let x(j) = 19*j**2 + 2*j - 6. Let c = -817 + 812. Let f(s) = c*w(s) + x(s). Factor f(q).
-(q - 6)*(q - 1)
Factor 21/5*o**2 + 0 + 12/5*o + 6/5*o**3 - 3/5*o**4.
-3*o*(o - 4)*(o + 1)**2/5
Factor -1/4*o**3 - 27/2 + 1/4*o + 27/2*o**2.
-(o - 54)*(o - 1)*(o + 1)/4
Let i(a) be the second derivative of -a**6/10 - 33*a**5/2 - 27*a**4 + 55*a**3 + 327*a**2/2 - 1096*a. Suppose i(u) = 0. What is u?
-109, -1, 1
Let y be (-66)/8*4/18*-6. Let z be (8/7)/(y/((-308)/(-24))). Factor -z*c + 2/3*c**2 + 0.
2*c*(c - 2)/3
Let g(u) be the second derivative of 20/3*u**3 - 26 - 3*u + 30*u**2 - 1/4*u**5 - 25/12*u**4. Factor g(o).
-5*(o - 2)*(o + 1)*(o + 6)
Let b(r) be the third derivative of r**7/120 + 17*r**6/240 - 103*r**5/240 + 7*r**4/48 - 8*r**2 - 136*r - 2. What is w in b(w) = 0?
-7, 0, 1/7, 2
Let b(l) = -5*l**2 - 4*l + 229. Let q(z) = -19*z**2 + 2*z + 917. Let p(c) = 22*b(c) - 6*q(c). Suppose p(v) = 0. Calculate v.
-4, 29
Find x, given that -285 - 793*x - 127*x - 1017 - 4*x**2 + 386 = 0.
-229, -1
Let a(o) = 481*o + 169796. Let h be a(-353). Determine l so that -5/2*l - 1/6*l**h + 7/6 + 3/2*l**2 = 0.
1, 7
Let l = -225 - -227. Factor -o**3 - 48 - 7*o + 19*o**3 - 3*o**4 - 3*o**l - 65*o.
-3*(o - 4)**2*(o + 1)**2
Let q(n) be the second derivative of -3*n**5/20 - 63*n**4/4 - 1323*n**3/2 - 27783*n**2/2 + 129*n - 3. Factor q(j).
-3*(j + 21)**3
Let f(g) be the first derivative of g**5/20 + 15*g**4/2 + 450*g**3 + 13500*g**2 - 142*g + 102. Let m(v) be the first derivative of f(v). Solve m(i) = 0.
-30
Let t = 88 - 79. Suppose -2*g + t = 3*i, 2*i - g - 6 = -5*g. Factor 0*w**2 - 12*w - i*w**2 + 28*w - 75 + 14*w.
-3*(w - 5)**2
Let k = 10122 - 10119. Let g(c) be the third derivative of -c**2 + 3/20*c**6 + 13/20*c**5 + c**4 + 1/2*c**k + 5 + 0*c. Factor g(v).
3*(v + 1)**2*(6*v + 1)
Let a(m) = -m**3 + 4*m**2 - 33*m - 26. Let n(s) = -2*s - 2. Let t(i) = a(i) - 14*n(i). What is r in t(r) = 0?
1, 2
Suppose 1601 = -192*p + 3905. Factor 13/2*n + p*n**2 + 2*n**4 + 17/2*n**3 + 1.
(n + 1)**2*(n + 2)*(4*n + 1)/2
Let x(q) = 764*q**2 + 4*q - 4. Let k be x(1). Let j = -762 + k. Factor 5/6*d**j + 3/2*d - 1/3.
(d + 2)*(5*d - 1)/6
Let a be 42944/976*(-12)/(-154). Determine j, given that 3/7*j**2 + 48/7 + a*j = 0.
-4
Determine o so that -831*o - 859*o + 406*o + 246*o**3 + 3750 + 120*o**2 - 141*o - 243*o**3 = 0.
-50, 5
Let y(b) = b**3 + 7*b**2 + 8*b + 14. Let j be 1*30/4*12/(-15). Let n be y(j). Find r, given that r**2 - 3*r + 5*r**n + 3*r**3 + 0*r**2 + 0*r - 6 = 0.
-2, -1, 1
Let t(l) = 34*l - 486. Let h(r) = -18*r + 243. Let b(n) = 13*h(n) + 6*t(n). Let u be b(8). Factor u + 3/4*j**3 + 15/4*j**2 + 6*j.
3*(j + 1)*(j + 2)**2/4
Suppose a + 3*l = -3, 4*l = -0*a - a - 7. Suppose 0 = -3*p - a*p + 672. Determine o so that 148*o + 14*o**2 + 6*o**2 + p + 0 = 0.
-7, -2/5
Let z = 2/109547 - -39546461/328641. Factor -38/3*l - z - 1/3*l**2.
-(l + 19)**2/3
Suppose -4*v - 16 = h, 3*h + 16 = 7*h. Let m(a) = -29*a**2 + 40*a + 21. Let w(o) = 44*o**2 - 60*o - 32. Let k(y) = v*w(y) - 8*m(y). Let k(r) = 0. Calculate r.
-1/3, 2
Suppose -4*u - 5 = -25. Let i be (-16)/(-88) - 31896/(-264). Suppose -2*t**5 - 126*t**4 + t**u - 3*t**2 - 7*t**3 + i*t**4 = 0. What is t?
-3, -1, 0
Let d = -48 - -52. Suppose d*i + i = 30. Factor -1 - 3*y - 3*y**2 - 4 + 5 + i.
-3*(y - 1)*(y + 2)
Factor -22/3*o**2 + 0 + 20*o - 4/9*o**3 + 2/9*o**4.
2*o*(o - 5)*(o - 3)*(o + 6)/9
Let k(w) be the first derivative of 5*w**3/3 + 11795*w**2/2 - 11800*w - 12974. Factor k(d).
5*(d - 1)*(d + 2360)
Let u(q) be the first derivative of q**5/5 + 125*q**4/12 + 319*q**3/9 + 275*q**2/6 + 26*q + 203. Find v such that u(v) = 0.
-39, -1, -2/3
Let k = 287340 - 287338. Factor -21/4*j - 3/2 + 3*j**k.
3*(j - 2)*(4*j + 1)/4
Let p(r) be the third derivative of -9*r**6/40 - 993*r**5/20 - 164*r**4 - 218*r**3 - r**2 - 433*r. Determine k, given that p(k) = 0.
-109, -2/3
Let y(d) be the third derivative of 11/4*d**4 - 1/20*d**5 + 0*d + 23/2*d**3 + 0 - 89*d**2. Factor y(c).
-3*(c - 23)*(c + 1)
Let m(c) be the first derivative of 23/6*c**3 + 0*c + 112 + 3/4*c**2 - 13/4*c**4. Determine w so that m(w) = 0.
-3/26, 0, 1
Let r(l) = 33*l**2 - 6*l + 6. Let u(k) = 2*k**2 - 7. Let g(z) = -2*z**2 + 6. Let w(a) = -6*g(a) - 5*u(a). Let s(i) = -r(i) + 18*w(i). Find h such that s(h) = 0.
-4, 2
Suppose -797 = -445*f - 101*f + 295. Let 2/5 + 2/5*b**5 + 4*b**3 + 2*b**4 + 2*b + 4*b**f = 0. Calculate b.
-1
Let w be 3/(-1)*7*6/42. Let g(s) = s**4 + s**3 - 16*s**2 - s - 5. Let l(x) = 9*x**2 + 3. Let h(p) = w*g(p) - 5*l(p). Determine d, given that h(d) = 0.
-1, 0, 1
Let v(o) be the third derivative of 1/480*o**6 - 1/80*o**5 + 0*o**3 + o + 0 + 1/48*o**4 - 7*o**2. Find j, given that v(j) = 0.
0, 1, 2
Let p be ((-21)/15*(-324)/21)/(5838/4170). Determine b so that -180/7*b - 75/7 - p*b**2 = 0.
-5/6
Let m be (0 - 28)*((-66)/(-24) + -3). Suppose -m*a = a - 16. Factor -59*l - 6*l**2 - 144 + a*l**2 + 11*l.
-4*(l + 6)**2
Suppose -3*s + 2 = -4. Let n be (30 + -16)/((-280)/(-48)). Factor n*l + 2 + 2/5*l**s.
2*(l + 1)*(l + 5)/5
Let s(r) be the first derivative of 2*r**5/35 + 3*r**4/14 - 22*r**3/7 + 53*r**2/7 - 48*r/7 + 1766. Factor s(h).
2*(h - 3)*(h - 1)**2*(h + 8)/7
Let m(j) = j**3 + 16*j**2 + 17*j + 6. Let h be m(-15). Let c be (-52)/h + 18/(-12). Factor -1/6*x**2 + 5/6 - c*x.
-(x - 1)*(x + 5)/6
Let n be (-220)/66*42/(-5). Let i be ((-15)/(-4))/(1/n). Let -49*q**2 - 51*q**2 + i*q**2 + 5*q = 0. Calculate q.
-1, 0
Let a(r) be the third