+ 316/5 - 4/5*a**2.
-2*(a + 158)*(2*a - 1)/5
Let x(q) = -6009 + 32*q + 5906 + 0*q**2 + q**2. Let d be x(-35). Factor 0 - 6/19*r**d + 4/19*r + 2/19*r**3.
2*r*(r - 2)*(r - 1)/19
Let d be (-152)/95 + (132/(-30) - 200/(-25)). Find x, given that -2/7*x**d + 156/7*x - 3042/7 = 0.
39
Let o(z) = z + 6. Let s(i) = 3*i**3 + i**2 - 2*i + 1. Let t be s(1). Let d be o(t). Factor -5*c + 10*c**2 - d*c**2 + 9*c + 4.
(c + 2)**2
Let m(b) be the third derivative of b**7/210 - 7*b**6/120 - b**5/5 + 7*b**4/6 + 16*b**3/3 - 933*b**2 + 2*b. Let m(l) = 0. Calculate l.
-2, -1, 2, 8
Factor -1419/2*o + 15*o**2 + 423/2.
3*(o - 47)*(10*o - 3)/2
Let l be 0 - (1520/70)/(-38). Let 2/7*k**5 - 4/7*k**4 - l + 2/7*k - 4/7*k**3 + 8/7*k**2 = 0. What is k?
-1, 1, 2
Suppose 4*y - 675 = -5*x, -y - 270 = -11*x + 9*x. Let m = x - 135. Factor -4/5*l**4 - 4/5*l**2 + 0 + 8/5*l**3 + m*l.
-4*l**2*(l - 1)**2/5
Suppose 0 = 16*p - 152 + 40. Let z(s) = 4*s**2 - 58*s - 146. Let l(h) = -12*h**2 + 171*h + 439. Let n(i) = p*z(i) + 2*l(i). Factor n(c).
4*(c - 18)*(c + 2)
Let v(y) = 48*y**2 - 5430*y + 45. Let u(g) = 13*g**2 - 1357*g + 12. Let b(o) = 15*u(o) - 4*v(o). Factor b(c).
3*c*(c + 455)
Let v be (528/(-56))/22 + (-10)/(-35) - 44/(-14). Suppose -1/3*k**v + 2/3*k**2 + k + 0 = 0. Calculate k.
-1, 0, 3
Let i(j) = 134*j + 2550. Let z be i(-19). Let r(b) be the second derivative of -z*b**2 + 4/3*b**3 - 16*b - 1/6*b**4 + 0. Let r(x) = 0. Calculate x.
2
Let 68/5*v**2 - 1/5*v**3 - 52*v + 256/5 = 0. Calculate v.
2, 64
Let j(x) = -8*x - 4. Let k be j(-1). Let i be 6/k + (-143)/4*-6. Solve -56*o**4 + 6*o**5 + 54*o - 1041 - i*o**2 + 99*o**3 + 81*o**3 + 1041 = 0.
0, 1/3, 3
Factor -5/4*d**2 + 1/8*d**5 + 5/4*d**3 + 5/8*d - 5/8*d**4 - 1/8.
(d - 1)**5/8
Let b(g) be the second derivative of -5*g**7/42 - 61*g**6/6 + 411*g**5/2 - 3195*g**4/2 + 13005*g**3/2 - 29565*g**2/2 + 3958*g. Factor b(z).
-5*(z - 3)**4*(z + 73)
Let x(h) be the first derivative of -2*h**6/5 - 136*h**5/25 - 92*h**4/5 - 136*h**3/5 - 98*h**2/5 - 32*h/5 - 1016. Let x(v) = 0. Calculate v.
-8, -1, -1/3
Let w = 910 + -909. Let y be -4*(w - 2)*(15 - 14). Factor -2/5*n**2 - 10 - y*n.
-2*(n + 5)**2/5
Let f(n) = 2895*n**2 + 42048*n + 33759. Let d(b) = 175*b**2 + 2628*b + 2110. Let t(r) = 33*d(r) - 2*f(r). Determine o, given that t(o) = 0.
-4/5, 176
Let j(z) be the third derivative of -z**5/60 + 17*z**4/6 + 70*z**3/3 - 4019*z**2. Determine o, given that j(o) = 0.
-2, 70
Let g = 89 - 41. Let l = 50 - g. Factor -3*v + 3*v - v - 5*v**l + 6*v**2.
v*(v - 1)
Suppose 388*x = 177*x + 195*x + 32. Let b(p) be the first derivative of 4/9*p**x + 4/45*p**5 + 13 - 4/27*p**3 - 2/9*p**4 + 0*p. Solve b(f) = 0.
-1, 0, 1, 2
Let b(v) be the third derivative of -v**7/840 + v**6/160 + v**5/10 + 7*v**4/24 + 2294*v**2. Find r such that b(r) = 0.
-2, 0, 7
Let r(j) be the second derivative of -j**6/105 + 3*j**5/35 + 9*j**4/14 + 4*j**3/21 - 36*j**2/7 + 1036*j. Suppose r(p) = 0. What is p?
-2, 1, 9
Let w(n) = 54 - 58 - 32 - 10 - 8*n. Let i be w(-6). Determine c, given that -559*c - 14*c**i + 3*c**3 + 577*c - c**2 = 0.
0, 2, 3
Factor 24 + 41*v**3 - 36*v**2 - 24 + 83*v**2 + 32*v**5 - 31*v**5 + 13*v**4 + 18*v.
v*(v + 1)**2*(v + 2)*(v + 9)
Factor -1/2*l**3 - 42 - 53/2*l + 15*l**2.
-(l - 28)*(l - 3)*(l + 1)/2
Let b(n) be the second derivative of 0*n**3 + 0*n**2 + 0 - 3/5*n**5 - 1/42*n**7 - 2/3*n**4 - 109*n - 1/5*n**6. What is v in b(v) = 0?
-2, 0
Determine s, given that -33 + 42 + 2*s + 4*s**2 - 12 - 21 + 2*s = 0.
-3, 2
Suppose 5*y = 3*o + 13, -4*y = -5*o - 6*y + 30. Suppose -2*h = -0*h - 8, -o*v + 2*h = 0. Factor 20*i + 17*i**v - 6*i**2 - 9*i**2.
2*i*(i + 10)
Let l(z) be the third derivative of -z**7/280 + z**6/24 + 44*z**3/3 - 38*z**2. Let f(w) be the first derivative of l(w). Determine i so that f(i) = 0.
0, 5
Let i = 18531 - 352081/19. Solve 26/19*g**3 - 16/19*g + 22/19*g**2 - i - 10/19*g**5 - 14/19*g**4 = 0 for g.
-2, -1, -2/5, 1
Let r(i) be the first derivative of 2/9*i**2 - 2/15*i**5 - 1/27*i**6 + 2/9*i**3 - 1/18*i**4 + 155 + 0*i. Solve r(m) = 0.
-2, -1, 0, 1
Let l(x) be the first derivative of 17 - 5/7*x**3 - 12/7*x - 216/35*x**5 + 267/28*x**4 + 8/7*x**6 - 36/7*x**2. Determine d so that l(d) = 0.
-1/4, 1, 2
Let u(l) = 2977*l + 17862. Let v be u(-6). Factor 1/3*x**3 + 1/3*x**4 + v*x + 0 - 1/3*x**2 - 1/3*x**5.
-x**2*(x - 1)**2*(x + 1)/3
Solve -2*t**4 - 534 - 8*t + 18*t**2 + 0*t**4 + 510 = 0 for t.
-3, -1, 2
Let z(y) be the first derivative of y**6/3 - 12*y**5/5 + 9*y**4/2 + 8*y**3/3 - 12*y**2 + 538. Factor z(w).
2*w*(w - 3)*(w - 2)**2*(w + 1)
Suppose -8*a + 185 + 423 = 0. Let k be 9 - (2 - a/(-12)). Suppose -38/3*m + k + 361/6*m**2 = 0. Calculate m.
2/19
Let m be (-3776)/1770 + 4/30. Let n be m/(2 + (-18 - -7)). Factor 0*u - 2/9*u**4 + 0 - n*u**2 + 4/9*u**3.
-2*u**2*(u - 1)**2/9
Let d(n) be the second derivative of -n**4/20 - 127*n**3 - 241935*n**2/2 + 1838*n. Factor d(q).
-3*(q + 635)**2/5
Determine f so that -2125/3 - 65/3*f**2 - 800/3*f + 2/3*f**3 = 0.
-5, 85/2
Suppose 3*p - 5*u = 21, 5*p + 0*p - u - 13 = 0. Factor -222*s - s**2 + 3*s**p + 4107 + 7*s**2 - 6*s**2.
3*(s - 37)**2
Let z be 1859/2838 + 2/172. Factor -8/3*s**2 + 2/3*s**4 + z*s**3 + 0 - 8/3*s.
2*s*(s - 2)*(s + 1)*(s + 2)/3
Factor 1526*u**3 - 277762*u + 5388*u**2 - 1522*u**3 + 2696974*u + 362075396.
4*(u + 449)**3
Let y(h) be the third derivative of h**7/630 + 11*h**6/180 - 5*h**5/12 - 5*h**2 - 81. Determine b so that y(b) = 0.
-25, 0, 3
Let j = -354625 - -354627. Determine v, given that 0 + 3/2*v**4 - 15/2*v**3 + 0*v - 21*v**j = 0.
-2, 0, 7
Let t(s) be the third derivative of s**5/20 + 241*s**4/4 + 481*s**3/2 - 15*s**2 - 2*s - 15. Solve t(l) = 0 for l.
-481, -1
Let i = 172457/53885 + -5/10777. What is r in 12/5*r**2 - i + 16/5*r - 16/5*r**3 + 4/5*r**4 = 0?
-1, 1, 2
Let k(y) be the second derivative of y**10/45360 - y**9/3240 + y**8/1008 + 40*y**4/3 - 143*y. Let w(n) be the third derivative of k(n). Factor w(s).
2*s**3*(s - 5)*(s - 2)/3
Let g = -114 + 120. Factor -35*n**2 + 69*n**2 + g*n - 4 - 36*n**2.
-2*(n - 2)*(n - 1)
Factor 0*u + 18/5*u**2 - 96/5 - 3/5*u**3.
-3*(u - 4)**2*(u + 2)/5
Let q be ((-3300)/(-297))/(4/3 - 1). Let m(t) be the first derivative of q*t**3 + t + 10*t**2 - 12. Factor m(j).
(10*j + 1)**2
Let d(r) be the third derivative of -r**8/5040 - r**7/945 - 3*r**4/8 - r**3/2 + 11*r**2 + 5*r. Let b(g) be the second derivative of d(g). Factor b(m).
-4*m**2*(m + 2)/3
Let p be (3360/8)/21 - 16. Let x(k) be the third derivative of 0*k + 0 - 9*k**3 - 1/40*k**5 + 3/4*k**p + k**2. Factor x(s).
-3*(s - 6)**2/2
Let d(m) be the first derivative of -m**6/27 + 10*m**5/9 - 47*m**4/6 - 442*m**3/27 + 338*m**2/9 + 1192. Suppose d(k) = 0. What is k?
-2, 0, 1, 13
Let 457*s**3 + 35*s**4 + 22*s**4 - 14*s**2 - 2*s**5 - 36*s - 71*s**4 + 28*s**4 - 419*s**3 = 0. What is s?
-2, -1, 0, 1, 9
Let k(l) be the first derivative of -1/72*l**6 + 26 - 10/3*l**4 - 14/3*l**3 - 1/3*l**5 + 0*l + 0*l**2. Let o(q) be the third derivative of k(q). Factor o(v).
-5*(v + 4)**2
Let k(s) = 5*s**2 - 69*s + 70. Let h be k(1). Let i = 2 + 0. Find j such that -h + 6*j - 3/2*j**i = 0.
2
Let k(i) be the third derivative of -i**7/630 - 3*i**6/40 - 97*i**5/180 - 13*i**4/8 - 23*i**3/9 + 3*i**2 + 178*i - 1. Solve k(h) = 0 for h.
-23, -2, -1
Let l(k) be the third derivative of -k**6/900 + k**5/25 - 11*k**4/60 + 7*k**3 - k**2 - 38. Let u(i) be the first derivative of l(i). Factor u(f).
-2*(f - 11)*(f - 1)/5
Let c(a) be the third derivative of 0*a**4 + 11/70*a**7 + 0*a**5 + 0*a + 3/20*a**6 + 0*a**3 + 1 - 14*a**2 + 1/28*a**8. What is u in c(u) = 0?
-2, -3/4, 0
Let o(b) = b - 11. Let f(m) = m**2 - 10*m + 39. Let u be f(6). Let t be o(u). Determine n so that -4 - 1 + 12*n**3 - 6*n**2 + 8 + 6 - 3*n**t - 12*n = 0.
-1, 1, 3
Determine j, given that 600/7 + 20*j + 4/7*j**2 = 0.
-30, -5
Let d(y) be the second derivative of y**8/7560 - y**7/756 + 7*y**6/1620 - y**5/180 - 10*y**3 + 22*y - 2. Let v(c) be the second derivative of d(c). Factor v(m).
2*m*(m - 3)*(m - 1)**2/9
Let u(r) be the first derivative of 2*r**3/9 + 232*r**2/3 + 3. What is m in u(m) = 0?
-232, 0
Let j be (-4 - (-51 + -4)) + -5. Factor -j*n + 8*n**4 + 21*n**3 - n**3 - 4*n**2 - 34*n - 32 - 20*n**2.
4*(n - 2)*(n + 2)**2*(2*n + 1)
Let k(x) be the third derivative of -x**6/48 + x**5/8 + 115*x**4/24 - 20*x**3 - 