+ 2/19*c**5 - 56/19*c**3 = 0.
-4, -3, 3, 7
Let c(x) = -12*x**3 - 33*x - 15. Suppose 0 = 118*j - 127*j + 9. Let z(s) = s**3 + 2*s + 1. Let i(t) = j*c(t) + 15*z(t). Factor i(o).
3*o*(o - 1)*(o + 1)
Suppose -6*l - 24 = 12. Let x(t) = 10*t + 60. Let s be x(l). Determine g, given that -2/3*g**2 + 1/3*g**4 + 1/3 + s*g + 0*g**3 = 0.
-1, 1
Let m(o) be the first derivative of -o**6/40 + 3*o**5/20 - 2*o**3 + 2*o**2 - 5*o + 82. Let c(h) be the second derivative of m(h). Let c(z) = 0. What is z?
-1, 2
Let t be 116956/(-5880) + 21 - (-4)/120. Factor -6/7*r**2 - 8/7*r + t.
-2*(r + 2)*(3*r - 2)/7
Suppose 0*s - 8 = 2*s + 3*g, 0 = 3*g + 6. Let w(c) = c + 2. Let k(i) = -3*i**3 + 54*i**2 - 330*i + 636. Let t(u) = s*k(u) - 6*w(u). Factor t(b).
3*(b - 6)**3
Let z(y) be the first derivative of -8/5*y - 140 + 12/5*y**2 - 6/5*y**3. Factor z(l).
-2*(3*l - 2)**2/5
Let s(f) = 5*f - 13. Suppose 1 = 5*z - 4*h + 2, 2*h + 7 = 5*z. Let n be s(z). Factor -29*y**n - 3*y**4 - 8*y - 4*y**4 + 9*y**2 - y**5 - 18*y**3.
-y*(y + 1)*(y + 2)**3
Let a(p) be the third derivative of p**6/360 - 607*p**5/36 + 2304323*p**4/72 - 2301289*p**3/18 + 8266*p**2. Suppose a(n) = 0. Calculate n.
1, 1517
Find a such that -60852 - 71644 + 81*a - 15*a**2 + 47*a**2 - 33*a**2 + 647*a = 0.
364
Let c(j) = 6*j**2 + 12*j + 12. Let p(f) = 75*f + 2*f**2 - 42*f - 34*f. Let b(r) = -c(r) + 2*p(r). Factor b(x).
-2*(x + 1)*(x + 6)
Let v(x) be the second derivative of -x**6/40 + 477*x**5/40 - 24961*x**4/16 - 6360*x**3 - 9600*x**2 + 8574*x. Find m, given that v(m) = 0.
-1, 160
Let m(u) = -2*u**2 - 63*u - 103. Let p(h) = -h + 3. Let y(z) = 2*m(z) - 6*p(z). Factor y(f).
-4*(f + 2)*(f + 28)
Factor -21637 - 12964 - 65*m**2 - 1376*m**2 - 82935*m - 14134 - 25*m**3 - 1424*m**2.
-5*(m + 57)**2*(5*m + 3)
Let t(j) be the second derivative of j**5/14 + 29*j**4/6 + 118*j**3/21 - 80*j**2/7 + 768*j. Factor t(h).
2*(h + 1)*(h + 40)*(5*h - 2)/7
Let w = 3989809/3 + -1329934. Find z, given that w*z + 1/6*z**3 - 3/2*z**2 + 4 = 0.
-1, 4, 6
Let w be 22/(-6)*((-1250)/22 + 56). Let 48*j - 6*j**2 - 128 + 1/4*j**w = 0. Calculate j.
8
Let g(i) be the first derivative of 100*i + 61/3*i**3 + 1/5*i**5 + 37 - 9/2*i**4 + 90*i**2. Determine p so that g(p) = 0.
-1, 10
Let f be 51 + -73 - (-765)/34. Solve 1/2*u**4 + 1/4*u**5 + 0 - 1/4*u**3 - f*u**2 + 0*u = 0 for u.
-2, -1, 0, 1
Let f = 2/3 - 2/21. Let a = -26087/7 + 3727. Factor f*l + a*l**2 + 2/7.
2*(l + 1)**2/7
Let c(h) = -h**3 - 7*h**2 + 6*h - 11. Let f be c(-7). Let u = f + 55. What is j in 6*j**u - j + 3*j**3 + 5*j + 2*j - 3*j = 0?
-1, 0
Let a(s) be the first derivative of 14*s**3/9 + 62*s**2/3 + 32*s - 827. Factor a(x).
2*(x + 8)*(7*x + 6)/3
Let f = 7999/37982 + 10/2713. Let q(u) be the second derivative of -3/140*u**5 - f*u**3 - 1/70*u**6 - 21*u + 5/28*u**4 + 0*u**2 + 0. Factor q(a).
-3*a*(a - 1)**2*(a + 3)/7
Let l(q) be the first derivative of 2*q**3/45 - 2248*q**2/15 + 2526752*q/15 + 1120. Suppose l(b) = 0. What is b?
1124
Let j(d) be the first derivative of d**7/2940 - 43*d**3/3 + 8. Let p(q) be the third derivative of j(q). Find z, given that p(z) = 0.
0
Suppose 4*q = -4, -2*u - 2*u - 140 = -4*q. Let f = u - -39. Suppose 3 + 9*y**3 - 3*y**f - 325*y - 3*y**4 + 319*y = 0. Calculate y.
-1, 1
Let d(t) be the first derivative of -t**6/11 - 24*t**5/11 - 327*t**4/22 + 68*t**3/11 + 2976*t**2/11 - 5376*t/11 + 1342. Suppose d(o) = 0. What is o?
-8, -7, 1, 2
Suppose 0 = -13222*s + 13158*s. Factor -z**2 + 7/6*z - 4/3*z**3 + 1/6*z**5 + s + z**4.
z*(z - 1)**2*(z + 1)*(z + 7)/6
Let t(x) = -3*x**4 - 2*x**2 - 2. Let z be 6/(-10) - 224/(-40). Suppose p + z = 10. Let l(h) = -5*h**4 - 5*h**2 - 5. Let o(u) = p*t(u) - 2*l(u). Factor o(k).
-5*k**4
Let j(d) be the second derivative of 1/40*d**5 + 1225/2*d**2 + 455/4*d**3 - 75*d + 3*d**4 + 0. Factor j(i).
(i + 2)*(i + 35)**2/2
Let v(t) = t**2 - t + 1. Let i(g) = -14*g**3 - 429*g**2 - 801*g - 401. Let p(s) = -i(s) - 5*v(s). Let p(r) = 0. Calculate r.
-198/7, -1
Solve -181 + 63*y**3 - 63*y + 3*y**4 + 257 - 190 - 10*y**2 + 121*y**2 = 0 for y.
-19, -2, -1, 1
Let i(x) be the third derivative of x**7/315 - 13*x**6/180 - 41*x**5/45 - 35*x**4/9 - 8*x**3 - 3268*x**2. Determine m so that i(m) = 0.
-2, -1, 18
Let f(w) be the first derivative of 79 + 29773*w + w**4 - 29773*w. Suppose f(s) = 0. What is s?
0
Let 0 - 2071674/7*i**3 - 2061723/7*i - 3/7*i**5 + 4980/7*i**4 + 4128420/7*i**2 = 0. What is i?
0, 1, 829
Suppose 4 = 2*m + 10. Let x(u) = -u**3 - 4*u**2 - 8*u - 6. Let p be x(m). Factor -16*j**3 + p*j**4 - 73*j**4 - 16*j**5 - 2*j**5 - 10*j**5.
-4*j**3*(j + 2)*(7*j + 2)
Let v(m) be the third derivative of 0 + 0*m**3 - 1/120*m**5 - 103*m**2 + 1/240*m**6 - 1/1260*m**7 + 0*m + 1/144*m**4. Factor v(k).
-k*(k - 1)**3/6
Let r = -140 - -254. Solve 58 + 56 - r + 5*x**4 = 0 for x.
0
Let l = 1611 + -1605. Let m(f) be the third derivative of -1/240*f**l + 1/3*f**3 + 7/48*f**4 + 16*f**2 + 0 + 1/60*f**5 + 0*f. Solve m(u) = 0.
-1, 4
Let m = -274 - -7685/28. Let g(b) be the second derivative of m*b**4 + 3/14*b**3 + 0*b**2 + 0 + 3/35*b**5 + 24*b. Find z such that g(z) = 0.
-3, -1/4, 0
Factor -182/5*t**2 + 868/5*t - 688/5 + 2/5*t**3.
2*(t - 86)*(t - 4)*(t - 1)/5
Find d such that -106276/3 - 4/3*d**2 + 1304/3*d = 0.
163
Factor -30/17*k**2 + 7016/17*k + 936/17.
-2*(k - 234)*(15*k + 2)/17
Let o be (1/3)/((-13)/156). Let x(w) = w**3 - 3*w**2 - 9*w - 1. Let p(r) = r**3 - 3*r**2 - 9*r - 2. Let g(m) = o*p(m) + 3*x(m). Determine n so that g(n) = 0.
-1, 5
Solve 1/4 + 410881/4*m**2 - 641/2*m = 0 for m.
1/641
Suppose 14 = 18*i - 11*i. Factor 3*b**3 + 21*b**i - 19 - 29 - 9638*b + 9608*b.
3*(b - 2)*(b + 1)*(b + 8)
Factor -23*p**2 - p**4 - 15*p**3 + 452*p**5 + 306*p**5 - 757*p**5 - 10*p.
p*(p - 5)*(p + 1)**2*(p + 2)
Let o = 5375/53 + -21447/212. Factor 0*z - 729/4*z**2 - o*z**4 + 0 - 27/2*z**3.
-z**2*(z + 27)**2/4
Find u such that u - u + 689*u**3 - 30603*u**2 - 83*u**3 - 3461*u**4 + 3458*u**4 = 0.
0, 101
Let b be 25881/2 - 111/74. Solve f**2 + f**2 + 12955*f - 15 - b*f - 3*f**2 = 0.
1, 15
Let s(p) = 6*p**3 - p**2 + 1. Let b(q) = -q - 110*q**3 + 13*q**2 - 4*q + 4*q + 13*q**2 - 26 + 3*q. Let f(v) = -2*b(v) - 36*s(v). Find z, given that f(z) = 0.
-1, 1, 4
Factor 0 + 1/5*b**4 + 404/5*b**3 + 161*b**2 + 402/5*b.
b*(b + 1)**2*(b + 402)/5
Factor 18/7*l**2 + 24/7 - 36/7*l - 3/7*l**3.
-3*(l - 2)**3/7
Let g(r) be the third derivative of -r**8/11200 + r**7/525 - r**6/75 - 199*r**4/24 - 109*r**2 + 1. Let v(t) be the second derivative of g(t). Factor v(d).
-3*d*(d - 4)**2/5
Let n(y) = 2*y**2 + 8*y - 60. Let l be n(6). Let i be -1 + 7*(-7 + l/8). Factor i*m**2 - 15/2*m + 0.
5*m*(m - 3)/2
Suppose 2*d = r - 1400, 0*r - 4*r = 2*d - 5610. Let b = r - 1402. Suppose 1/2*i**5 + b + 2/3*i - 8/3*i**2 + 23/6*i**3 - 7/3*i**4 = 0. Calculate i.
0, 2/3, 1, 2
Let j(z) be the first derivative of -18*z - 8/3*z**3 + 33/2*z**2 - 5/2*z**4 - 2 + 2/5*z**5 + 1/6*z**6. Let j(f) = 0. What is f?
-3, 1, 2
Determine w, given that -902/3*w**3 - 3362/9*w**4 - 32/9*w + 208/3*w**2 + 0 = 0.
-1, 0, 4/41
Let q(g) = -18*g**2 - 2355*g - 1578. Let j(k) = -21*k**2 - 2352*k - 1580. Let u(o) = 3*j(o) - 4*q(o). What is r in u(r) = 0?
-262, -2/3
Let m(n) be the second derivative of -n**6/6 + 21*n**5/4 - 155*n**4/12 - 215*n**3/2 - 190*n**2 + 440*n - 3. Solve m(s) = 0.
-1, 4, 19
Let c(f) = -f**3 - 2*f**2 + 2*f - 1. Let m be c(-3). Suppose -m*l - 12 = -5*l. Solve 3*u - 68*u**2 + 122*u - 95*u**l - 10*u**5 - 195*u**3 + 243*u**2 = 0.
-5, -1/2, 0, 1
Let r(k) be the first derivative of 3125*k**6/6 - 41375*k**5 - 259500*k**4 - 631800*k**3 - 763560*k**2 - 460080*k - 3597. Let r(b) = 0. What is b?
-6/5, 71
Let c(u) = -u**4 - u**3 - 2*u - 1. Let i(j) = 16*j**4 - 106*j**3 + 104*j**2 - 10*j + 1. Let m(n) = -3*c(n) - 3*i(n). Suppose m(o) = 0. Calculate o.
0, 2/15, 1, 6
Solve -2/3*l**2 + 0 + 202*l = 0.
0, 303
Let x(y) be the first derivative of 2*y**3 + 38*y**2 + 2*y + 14. Let h(c) = -13*c**2 - 150*c - 5. Let r(s) = 2*h(s) + 5*x(s). Solve r(w) = 0 for w.
-20, 0
Factor -168/5*z**3 - 10*z**4 + 2/5*z**5 + 0*z + 0*z**2 + 0.
2*z**3*(z - 28)*(z + 3)/5
Let m = -79251 - -79253. Factor -2/5 + 6/5*w + 2/5*w**3 - 6/5*w**m.
2*(w - 1)**3/5
Let b(v) be the second derivative of -3*v**5/40 + 23*v**4/2 + v**3/4 - 69*v**2 + 3782*v. Determine g so that b(g) = 0.
-1, 1, 92
Let c be (-3)/18 + 