6 - z**3/3 - z**2/2 + 7*z - 9. Let n(k) = -35*k**2 + 90*k - 165. Let w(f) = -n(f) - 15*x(f). Factor w(c).
5*(c - 6)**2
Let u(s) = -117*s - 222. Let w be u(-2). Let v be (2 - 6) + (-6 - (-124)/w). Let v*z**4 + z**2 + 0 + 5/3*z**3 - 3*z = 0. Calculate z.
-3, 0, 1
Let c(u) be the third derivative of -u**5/15 + 673*u**4/6 - 448*u**3 + 285*u**2. Factor c(p).
-4*(p - 672)*(p - 1)
Let c be (15/10)/((-12)/56). Let g be (0/c)/(4 + -5). Solve 0*m + g + 2/11*m**3 - 4/11*m**2 = 0.
0, 2
Let p = -3024 + 1517. Let a = -1507 - p. Solve 4/11*u**3 + a*u + 2/11*u**4 + 0 - 2/11*u**5 + 0*u**2 = 0.
-1, 0, 2
Suppose -28*w = 46 + 10. Let s be 108/(-40) - (6 - (-19)/w). Factor -24/5 + s*g**2 - 4/5*g.
4*(g - 3)*(g + 2)/5
Let c = -257 + 259. Find k, given that -20*k - 8 - 10 - 182*k**2 + 180*k**c = 0.
-9, -1
Solve -20048*q + 456 + 121*q**3 - 3*q**5 + 966*q**2 + 36*q**4 + 224*q**3 + 21164*q = 0 for q.
-2, -1, 19
Find l such that 2*l**4 - 21 + 52*l + 268*l**2 + 12*l**3 - 310*l**2 - 3*l**4 = 0.
1, 3, 7
Let c(k) be the first derivative of -k**7/2940 - k**6/630 + k**5/140 + 76*k**3 - 166. Let y(z) be the third derivative of c(z). Suppose y(f) = 0. Calculate f.
-3, 0, 1
Let g be (-852)/(-1140) + (-9 - (-2064)/228). Let q(m) be the first derivative of -3*m + 28 + 63/10*m**2 - g*m**3. Find j, given that q(j) = 0.
1/4, 5
Solve -14/9*i**2 + 10/9*i**3 + 2/9*i**4 - 20/3 - 82/9*i = 0 for i.
-5, -2, -1, 3
Let m(r) be the first derivative of r**7/4200 + r**6/900 + 187*r**3/3 - 264. Let x(h) be the third derivative of m(h). Factor x(u).
u**2*(u + 2)/5
Let j(b) = -10*b**4 + 12*b**3 + 4. Let r(h) = -31*h**4 + 37*h**3 + h**2 + 14. Let w = -163 + 161. Let d(i) = w*r(i) + 7*j(i). Solve d(s) = 0.
0, 1/4, 1
Let k(z) be the first derivative of z**6/36 - 5*z**5/8 + 35*z**4/24 - 23*z**3/3 - 35. Let l(b) be the third derivative of k(b). Factor l(i).
5*(i - 7)*(2*i - 1)
Solve 88/7 - 88/7*l**2 + 4/7*l**3 - 4/7*l = 0.
-1, 1, 22
Let j be -24 - -24 - (42 - 0). Let p be 24/j + 18/7. Factor -6/7 - 2/7*l**p + 10/7*l - 2/7*l**3.
-2*(l - 1)**2*(l + 3)/7
Solve 17 - 235*r**2 - 136*r - 8*r**3 + 13 + 301*r**2 = 0.
1/4, 3, 5
Let i(r) be the second derivative of 3/8*r**2 + 10 - 1/80*r**5 - 1/16*r**4 + 1/24*r**3 - 4*r. Let i(g) = 0. What is g?
-3, -1, 1
Let b(n) = -6*n**4 + 28*n**3 - 56*n**2 - 180*n - 110. Let a(p) = -5*p**4 + 26*p**3 - 57*p**2 - 180*p - 108. Let h(r) = -5*a(r) + 4*b(r). Factor h(w).
(w - 10)**2*(w + 1)**2
Let c(s) be the third derivative of s**5/240 - s**4/2 - 1273*s**3/24 - s**2 - 3*s + 9. Factor c(w).
(w - 67)*(w + 19)/4
Let p(k) = 109*k**2 + 14*k + 14. Let a be p(-2). Let b = -422 + a. Factor -3/2*l**2 - 3/2*l**3 + b*l + 0.
-3*l**2*(l + 1)/2
Let w be 52*10/200 - (-39)/(-65). Factor -7*z**3 - 1 - 21/2*z**w + 3/4*z**5 - 23/4*z - 1/2*z**4.
(z - 4)*(z + 1)**3*(3*z + 1)/4
Let y be 9/(-6)*(28/(-12) + 1). Factor 64*k**3 + 96*k**y + 0*k**4 + 8*k**4 - 64 + 4*k**4.
4*(k + 2)**3*(3*k - 2)
Suppose 4674216448/5*l - 2/5*l**4 - 8386752/5*l**2 - 976911237632/5 + 6688/5*l**3 = 0. Calculate l.
836
Let w(a) = 2*a**2 + 8*a - 20. Let n be w(2). Solve 0*l**5 + 12*l**3 - 380*l - l**5 + 6 - n*l**4 - 2*l**2 + 369*l = 0.
-6, -1, 1
Factor -24 - 61*u - 14*u**3 - 1/2*u**4 - 101/2*u**2.
-(u + 1)**2*(u + 2)*(u + 24)/2
Let k(q) be the first derivative of q**5/15 - q**4/6 - 19*q**3/9 + 10*q**2/3 - 508. Suppose k(p) = 0. Calculate p.
-4, 0, 1, 5
Suppose -2*q + 26 = 3*p - 110, -2*q - 5*p = -132. Suppose 13*d = q*d - 174. Let 5/6*i**2 + 0 + 2/3*i**d + 1/6*i = 0. What is i?
-1, -1/4, 0
Factor -296/3*x + 722/3*x**3 + 16/3 + 1292/3*x**2.
2*(x + 2)*(19*x - 2)**2/3
Let l(s) be the second derivative of -s**7/112 - s**6/20 + 9*s**5/160 + 5*s**4/16 - s**3/2 - 5*s - 28. Find v such that l(v) = 0.
-4, -2, 0, 1
Let m = -2866 + 2869. Suppose 0 = 3*r - 6*r + 9, 4*r - 4 = 4*b. Determine n so that 0*n + 2/3*n**4 - b*n**m + 4/3*n**2 + 0 = 0.
0, 1, 2
Let k be 3/((-54)/20853)*(-72)/14. Let y be 5*(-3)/6*k/(-15). Factor -y + 993 + 8*c - 4*c**2.
-4*c*(c - 2)
Suppose 0 + 621/4*v**3 + 87*v - 15/4*v**5 + 210*v**2 + 57/2*v**4 = 0. Calculate v.
-2, -1, 0, 58/5
Let s(q) be the second derivative of -q**6/10 + 3*q**5/10 + 12*q**4 + 63*q**3 + 243*q**2/2 - 71*q - 3. Factor s(u).
-3*(u - 9)*(u + 1)*(u + 3)**2
Determine c so that 1776/7*c - 1440/7 - 88/7*c**2 + 16/7*c**5 - 508/7*c**3 + 16*c**4 = 0.
-10, -2, 3/2, 2
Suppose 2/7*y**2 - 150 + 200/7*y = 0. What is y?
-105, 5
Solve 1184 + h**2 - 292 - 212 - 93*h = 0.
8, 85
Let s(z) be the third derivative of z**5/300 + 3*z**4/2 - 182*z**3/15 - 1394*z**2. Determine v so that s(v) = 0.
-182, 2
Suppose -53 = -2*v - 49. Let y**3 - y + 10*y**2 - 5*y**2 - 8*y**2 + v*y**2 + y**4 = 0. What is y?
-1, 0, 1
Let z = 459 - 456. Factor 16 + 121*l - l**4 + 39*l**z + 76*l**2 - 61*l + 8*l**4.
(l + 1)*(l + 2)**2*(7*l + 4)
Let c(y) = -y**3 - y**2 + 28*y + 7. Let o be c(5). Let q be 45/30 - o/14. Factor 4/7*l**3 + 0 + q*l**2 + 0*l.
4*l**2*(l + 3)/7
Let -2 - 1 + 23 + 22 - 520*r + 845*r**2 + 38 = 0. Calculate r.
4/13
Let y(f) = -2*f**2 + 85*f - 84*f - 4*f**3 + f**4 + 4*f**3. Let l(d) = 24*d**3 + 28*d**2 - 52*d. Let x(h) = l(h) - 4*y(h). Factor x(p).
-4*p*(p - 7)*(p - 1)*(p + 2)
Factor 12*g**3 - 102*g**2 + 14*g**2 - 195*g + 231*g - 6*g**4 + 28*g**3 + 10*g**2.
-2*g*(g - 3)**2*(3*g - 2)
Let p be 17/(2040/(-16)) + (-2794)/(-30). Suppose 0 = -3*o + 99 - p. Solve -8/5*y + 1/5 + 7/5*y**o = 0.
1/7, 1
Let x(c) be the third derivative of 9/100*c**5 - 25*c**2 + 0*c + 0 + 1/350*c**7 - 7/40*c**4 + 1/5*c**3 - 1/40*c**6. Factor x(u).
3*(u - 2)*(u - 1)**3/5
Let k = -4365359/540 + 8084. Let d(t) be the third derivative of -k*t**5 + t**2 + 0*t**4 + 0*t + 1/54*t**3 + 0. Let d(b) = 0. Calculate b.
-1, 1
Let z = -22692 - -113468/5. Suppose -48/5*l + 266/5*l**2 - z = 0. Calculate l.
-2/19, 2/7
Let d be 2/22 - (35/14 + (-477)/198). Factor d + 0*v + 4/7*v**3 - 12/7*v**2.
4*v**2*(v - 3)/7
Factor -b**3 + 0 + 1/2*b - 7/4*b**2.
-b*(b + 2)*(4*b - 1)/4
Let l(z) be the first derivative of z**4/4 - 2*z**2 + 5*z - 27. Let d be l(2). Factor 0 - 2/13*u**3 - 8/13*u**d + 0*u + 0*u**2 - 10/13*u**4.
-2*u**3*(u + 1)*(4*u + 1)/13
Let a(c) be the second derivative of 11 + 84/25*c**5 - 6*c - 5/2*c**4 + 0*c**2 - 16/25*c**6 + 3/5*c**3. Factor a(b).
-6*b*(b - 3)*(4*b - 1)**2/5
Let f(o) be the third derivative of 0*o**3 - 5*o**4 + o**2 + 5/336*o**8 + 0 - 18*o + 3/4*o**6 + 3/14*o**7 - 1/3*o**5. Factor f(v).
5*v*(v - 1)*(v + 2)**2*(v + 6)
Let u = -7 - -15. Let 2*h**4 + 18*h**3 + 4*h**2 - 24*h + 64 - 3*h**2 - 14*h**3 - 23*h**2 + u = 0. Calculate h.
-3, 2
Let n be 57/5 - (54 + -19 + -26). Solve -23/5*q + 1/5*q**4 + 3/5*q**3 - 9/5*q**2 - n = 0 for q.
-4, -1, 3
Let f(y) = 6*y**3 + 60*y**2 - 69*y - 120. Let l(r) = 7*r**3 + 61*r**2 - 70*r - 120. Let o(t) = 4*f(t) - 3*l(t). Factor o(j).
3*(j - 2)*(j + 1)*(j + 20)
Let r(o) = o + 3. Let f be r(8). Suppose 0 = u + d + 1, 6*u - f = u - d. Factor -3*l**4 + 48 - u*l**3 + 6*l**2 + 3*l**2 - 42 + 15*l.
-3*(l - 2)*(l + 1)**3
Let y = -141733 + 141736. Factor 51*g - 867/4*g**2 - y.
-3*(17*g - 2)**2/4
Let t(u) be the first derivative of u**5/2 + 35*u**4/24 - 35*u**3/4 - 45*u**2/2 - 111*u + 164. Let l(q) be the first derivative of t(q). Factor l(c).
5*(c - 2)*(c + 3)*(4*c + 3)/2
Let u = -236 + 238. Suppose 16*t - 10 + 6 + 68*t**u + 40*t**3 - 8 = 0. Calculate t.
-1, 3/10
Let v(s) be the second derivative of -5/6*s**4 + 32/9*s**3 - 16/3*s**2 - 1/15*s**5 + 0 + 1/45*s**6 - 83*s. Factor v(c).
2*(c - 4)*(c - 1)**2*(c + 4)/3
Let x(h) be the second derivative of 47/4*h**4 - 864*h**2 + 3/20*h**5 + 264*h**3 + 93*h + 0. Factor x(n).
3*(n - 1)*(n + 24)**2
Suppose 2*b + 0*b + 22 = 3*j, 5*j - b = 32. Let i = 127 + -119. Factor -4*s**4 - 5 + i*s - j*s**2 + 4*s**4 + 2 + s**4.
(s - 1)**3*(s + 3)
Suppose -2*c - 1 = 3*r - 2, -4*c + 13 = -5*r. Let u = 16709 - 16709. Factor u*d + 2/13*d**5 + 0 + 2/13*d**3 + 0*d**c - 4/13*d**4.
2*d**3*(d - 1)**2/13
Let -13*h**3 - 16*h**3 - 62*h**3 - 5*h**4 + 30 + 40*h**2 + 91*h - 106 + 41*h**2 = 0. Calculate h.
-19, -1, 4/5, 1
Let i(p) = -10*p**3 + 3*p**2 + 6*p + 4. Let d be i(-1). Suppose 14 = c + d. Solve 755*a - 8640 + 573*a + 5*a**c + 832*a - 180*a**2 = 0.
12
Let d(j) be the second derivative of -j**8/2240 - j**7/840 + j**6/120 - 17*j**4/3 + 68*j. Let a(r) be the third derivative of d(r). Factor a(n).
-3*n*(n - 1)*(n + 2)
Let s(u) be 