y + 2/5*i.
2*i*(i - 1)**2*(i + 1)/5
Suppose -3*m + 46 + 6 = r, 0 = -5*r - 4*m + 205. Suppose -5*u**3 + 76*u**2 + 61*u + r*u**3 - 432 + 25*u + 452 - 20*u - 2*u**5 = 0. Calculate u.
-2, -1, 5
Let h(w) = 82*w - 571. Let r be h(7). Let u(c) be the first derivative of 45 + 0*c**4 + 8/3*c**r + 0*c + 0*c**2 - 2/5*c**5. Factor u(v).
-2*v**2*(v - 2)*(v + 2)
Let r be 8/(5 - 1) + 1/2. Let h(m) be the second derivative of -5/12*m**4 - r*m**2 + 0 + 5*m - 5/3*m**3. Factor h(o).
-5*(o + 1)**2
Let m be 6*4/(-10)*165/(-44). Suppose -5*u + 15 = -4*a, -2*u = -4*u - 2*a + 6. Factor 6*g**4 + 36*g**2 + 4*g**5 - m*g**3 + 22*g**4 + 69*g**u.
4*g**2*(g + 1)*(g + 3)**2
Let n be 200/14 - (80/40 + 12). Factor 38/7*w - 40/7 + n*w**2.
2*(w - 1)*(w + 20)/7
Suppose f - 2*p = 14, -11*f + p = -f - 26. Let -14/19*s - 20/19 - 2/19*s**f = 0. What is s?
-5, -2
Suppose -5*j - 91 = -2*k, 3778*k + 185 = 3783*k - 10*j. Factor l + 0 + k*l**2 + 9/4*l**3.
l*(3*l + 2)**2/4
Let y(f) = f**5 + f**4 + f**3 - 2*f**2 - 2*f. Let o(x) = 12*x**5 - 10*x**4 + 60*x**3 + 20*x**2 - 180*x - 128. Let w(p) = o(p) - 10*y(p). Solve w(q) = 0.
-1, 4
Let b = 95 - 92. Let y(t) = 2*t**2 - 5*t - 3. Let c be y(b). Determine w, given that -8/3*w**2 + c*w + 0 - 4/3*w**4 - 4*w**3 = 0.
-2, -1, 0
Suppose 3*c - 5*w - 80 = 0, -4*w - 68 + 16 = -2*c. Factor -c + 55/3*g - 5/3*g**2.
-5*(g - 9)*(g - 2)/3
Let q(g) be the second derivative of -g**5/80 - 537*g**4/16 - 27001*g**3 + 162409*g**2/2 + 2912*g. Factor q(b).
-(b - 1)*(b + 806)**2/4
Let f(d) be the third derivative of -2*d**7/735 - 3*d**6/56 - 83*d**5/420 - 3*d**4/28 + 3527*d**2. Factor f(j).
-j*(j + 2)*(j + 9)*(4*j + 1)/7
Let z(t) = 3*t**2 - 58*t + 713. Let k(m) = -17*m**2 + 292*m - 3564. Let r(s) = 10*k(s) + 55*z(s). Factor r(x).
-5*(x - 11)*(x + 65)
Suppose -10*t**4 + 14*t**3 + 264*t - 108*t**2 - 144 + 457*t**2 - 140*t**2 + 27*t**2 = 0. Calculate t.
-3, -2, 2/5, 6
Let h(l) be the second derivative of -32*l**6/15 - 968*l**5/5 - 475*l**4 - 1064*l**3/3 - 118*l**2 - 4059*l. Determine y, given that h(y) = 0.
-59, -1, -1/4
Let t(j) be the first derivative of 44/3*j + 1/9*j**3 + 146 - 5/2*j**2. Solve t(c) = 0.
4, 11
Let p be (9 + 0)*(-16)/(-24). Suppose -p*s + 21 = s. Determine k so that -3*k**s + 12*k**2 + 3*k**2 + 6*k**3 + 24*k + 12 = 0.
-2, -1
Let i(x) be the third derivative of -16/315*x**7 + 0 + 3*x**2 + 2*x + 8/45*x**5 + 0*x**3 + 1/504*x**8 - 1/180*x**6 + 0*x**4. Solve i(q) = 0 for q.
-1, 0, 1, 16
Factor 16*s**3 + 0*s + 14/5*s**5 + 62/5*s**4 + 24/5*s**2 + 0.
2*s**2*(s + 2)**2*(7*s + 3)/5
Let g(n) be the third derivative of 3*n**6/40 + 32*n**5/15 + 101*n**4/24 - 119*n**3/3 + 81*n**2 - 2*n + 13. Factor g(u).
(u - 1)*(u + 2)*(9*u + 119)
Let x = -551/22 + -20605/198. Let p = 130 + x. Find u, given that 4/3*u**2 + p*u**3 + 2/9 + 2/9*u**4 + 8/9*u = 0.
-1
Let l(m) = -m. Let k(z) = 5*z - 14. Let b(j) = -k(j) - 3*l(j). Let s be b(6). Find x, given that 0*x + 4*x - 1 + 4*x**3 - 3*x**s + x**2 - 4*x**2 - x**4 = 0.
1
Let d be 454 - 466 - (-74)/6. Determine v so that -1/3*v**3 + d*v + 2 - 2*v**2 = 0.
-6, -1, 1
Let c(g) be the second derivative of -g**5/120 + g**4/6 + g**3/36 - g**2 - 6236*g. Solve c(y) = 0.
-1, 1, 12
Let j(q) be the first derivative of -q**7/420 - q**6/12 - 5*q**5/4 - 125*q**4/12 + 20*q**3/3 - 35. Let m(r) be the third derivative of j(r). Factor m(t).
-2*(t + 5)**3
Let y(v) be the second derivative of v**9/5040 - v**7/840 - 37*v**4/12 - v**3/6 - v + 45. Let c(d) be the third derivative of y(d). Factor c(a).
3*a**2*(a - 1)*(a + 1)
Let d(a) = -27*a**3 - 138*a**2 + 225*a - 54. Let j(o) = -108*o**3 - 549*o**2 + 900*o - 218. Let x(i) = 25*d(i) - 6*j(i). Solve x(l) = 0 for l.
-7, 2/9, 1
Suppose -6 = -3*v + 2*a + 25, -3*a = -v + 15. Solve -v*l**5 - 18*l**2 + 29*l - 8*l + 24*l**4 + 6*l**2 - 6*l**2 - 12*l**3 - 6 = 0 for l.
-1, 2/3, 1
Find c such that -38*c**5 + 1135*c**4 - 23926*c**3 - 7*c**5 + 23676*c**3 = 0.
0, 2/9, 25
Factor -411/5*f - 41 - 2/5*f**2.
-(f + 205)*(2*f + 1)/5
Let u(r) be the third derivative of -3 + 4*r**3 + 75/2*r**4 + 375/2*r**5 + 0*r - 4*r**2 + 3125/8*r**6. Suppose u(t) = 0. What is t?
-2/25
Let x be (-3 - 45/(-21))/((-32)/112). Factor -8*a - a**3 - 21*a**x + 24*a**2 - 1473 + 1473 + 6*a**4.
2*a*(a - 2)*(a - 1)*(3*a - 2)
Let y(t) be the second derivative of 864*t**3 + 3/20*t**5 - 20736*t**2 - 18*t**4 + 0 - 53*t. Let y(r) = 0. Calculate r.
24
Suppose -54*y**3 - 10*y**4 - 32*y**3 - 20*y**2 + 3*y**4 + 114*y**3 - y**4 = 0. What is y?
0, 1, 5/2
Let h(r) = 19*r - 33. Let p be h(2). Suppose -p*t + 24*t = 38. Factor 4 + 34/3*o + 10/3*o**t.
2*(o + 3)*(5*o + 2)/3
Let k(n) = -42*n - 81. Let t be k(-12). Solve 4*v**5 + 44*v**4 + 423 + 100*v**2 + 32*v - t + 108*v**3 = 0 for v.
-8, -1, 0
Let s(j) = 92*j - 641. Let d be s(7). Factor 8/3*x**d + 6*x**2 + 5/3 + 16/3*x + 1/3*x**4.
(x + 1)**3*(x + 5)/3
Let k(y) be the first derivative of 4*y + 19/17*y**2 - 85 + 2/51*y**3. Factor k(h).
2*(h + 2)*(h + 17)/17
Let c(w) be the third derivative of w**7/420 + w**6/45 + w**5/12 + w**4/6 + 91*w**3/6 + 101*w**2. Let f(l) be the first derivative of c(l). Factor f(i).
2*(i + 1)**2*(i + 2)
Let h(g) be the first derivative of 1/30*g**6 + 0*g**4 - 2/25*g**5 + 2/15*g**3 + 4 + 0*g - 1/10*g**2. Factor h(j).
j*(j - 1)**3*(j + 1)/5
Let d(p) be the second derivative of p**7/504 - p**6/144 - p**5/4 - 67*p**4/12 - 26*p. Let t(g) be the third derivative of d(g). Factor t(z).
5*(z - 3)*(z + 2)
Suppose 46 + 284 = 11*o. Suppose 31 = o*k - 29. Determine l so that 5/3*l**3 - 19/3*l - 8/3*l**k - 2 = 0.
-1, -2/5, 3
Let x(o) be the second derivative of -2/45*o**6 + 154*o + 0*o**2 - 1/3*o**4 + 0 - 2/63*o**7 + 0*o**3 + 1/3*o**5. Determine a, given that x(a) = 0.
-3, 0, 1
Let f(u) be the third derivative of u**8/504 + 2*u**7/315 - u**5/45 - u**4/36 - u**2 - 12. Factor f(b).
2*b*(b - 1)*(b + 1)**3/3
Let i be -9 - (-150)/10 - 28435/(-35). Let n = 820 - i. Factor -106/7*h**2 + 1/7*h**5 + n*h**4 - 7 + 19*h + 10/7*h**3.
(h - 1)**3*(h + 7)**2/7
Let 432*i + 9*i**2 + 8*i**2 - 30*i**2 + 11*i**2 = 0. What is i?
0, 216
Let n(h) be the second derivative of h**5/20 - h**4/42 - h**3/6 + h**2/7 + 7*h + 42. Determine u, given that n(u) = 0.
-1, 2/7, 1
Let x(i) be the third derivative of -i**6/540 + 151*i**5/54 - 35908*i**4/27 + 141376*i**3/9 + i**2 - 621*i - 1. Suppose x(p) = 0. Calculate p.
3, 376
Let u(g) be the third derivative of -g**8/672 + g**7/420 + g**6/40 - g**5/30 - g**4/6 - 2*g**2 + 558*g. Suppose u(d) = 0. What is d?
-2, -1, 0, 2
Let n = 857 - 913. Let f = n + 59. Determine t so that 2/7*t**f + 12/7*t**2 + 0 + 18/7*t = 0.
-3, 0
Let f(s) be the third derivative of -s**6/1140 - s**5/285 + 2*s**4/19 - 271*s**2. Determine p so that f(p) = 0.
-6, 0, 4
Let g(q) be the third derivative of -q**5/15 + q**4/3 - 11*q**2 - 23. Suppose g(s) = 0. Calculate s.
0, 2
Suppose -103*v - 7 + 25*v**3 + 31 - 24*v**2 - 2*v**4 + 104 - 5*v**3 + 23*v = 0. Calculate v.
-2, 2, 8
Let p(f) be the second derivative of -17/9*f**3 - f + 17/30*f**5 + 1/3*f**2 - 1/18*f**4 + 2. Factor p(o).
2*(o - 1)*(o + 1)*(17*o - 1)/3
Let r(x) = -15*x**2 - 7595*x - 2790055. Let y(s) = 17*s**2 + 7620*s + 2790057. Let v(n) = -6*r(n) - 5*y(n). Factor v(f).
5*(f + 747)**2
Let a(z) be the second derivative of -z**7/630 + z**6/72 - 2*z**5/45 + z**4/18 + 44*z**2 + 4*z - 4. Let q(l) be the first derivative of a(l). Factor q(o).
-o*(o - 2)**2*(o - 1)/3
Let x = -282 + 292. Suppose -44 + 64 = x*d. Solve 40/7*o**d + 20/7*o**4 + 20/7*o + 4/7*o**5 + 4/7 + 40/7*o**3 = 0 for o.
-1
Suppose -129*u = 205*u - 166 - 202 - 300. Determine v, given that -31/3*v + 1/3*v**u + 0 = 0.
0, 31
Let p(y) = -y**3 - 3*y**2 + 3*y - 2. Suppose -5*s + 11 = -4*o, o - 5*o = -3*s + 13. Let v be p(o). Factor 0*x - x**3 - 5*x**3 + v*x**5 + x**5 + 3*x.
3*x*(x - 1)**2*(x + 1)**2
Suppose 96 = j + 89. Suppose 2*a - j = r - 4*r, r + 4*a + 1 = 0. Determine l so that -6*l**5 - 13*l**3 - 20*l**4 - 15*l**r + 2*l**2 - 14*l**2 + 2*l**5 = 0.
-3, -1, 0
Let a(s) be the second derivative of -s**6/50 + 1503*s**5/100 + 504*s**4/5 + 202*s**3 + 8145*s. Factor a(w).
-3*w*(w - 505)*(w + 2)**2/5
Let k(u) be the second derivative of -1/35*u**6 + 0*u**2 - 8*u - 11/35*u**5 + 32/21*u**3 + 1 - 16/21*u**4. Factor k(s).
-2*s*(s + 4)**2*(3*s - 2)/7
Let a(u) be the second derivative of -u**4/54 + 34*u**3/27 + 37*u**2/3 + u - 1. Fact