2)**2/3
Let j = 2 + 0. Factor -3 + d + 5*d**2 + 0*d + j*d + d**3 - 6.
(d - 1)*(d + 3)**2
Let i be (13/26)/(4/58) - 7. Solve i*r**2 + 3/4 - r = 0.
1, 3
Determine y, given that 91/2 - 181/4*y - 1/4*y**2 = 0.
-182, 1
Let z(f) = -1. Let m(n) = n**3 - 7*n**2 - 18*n + 1. Let w be m(9). Let s(i) = 4*i**2 + 0*i**2 - i**2 - 15. Let x(c) = w*s(c) - 3*z(c). Factor x(o).
3*(o - 2)*(o + 2)
Suppose -27 = -103*o - 27. Factor 0*y**2 - 4/3*y**3 + o + 4/3*y.
-4*y*(y - 1)*(y + 1)/3
Let s(f) be the first derivative of 2*f**6/3 + 8*f**5 - 55*f**4 + 80*f**3/3 + 168*f**2 + 363. Determine d, given that s(d) = 0.
-14, -1, 0, 2, 3
Let m = 6657/16 + -416. Let u(w) be the second derivative of -3*w + 0*w**2 + 0 + 0*w**3 + m*w**4. Determine g, given that u(g) = 0.
0
Let v(p) be the second derivative of -11*p**4/4 - 31*p**3/2 + 9*p**2 - 49*p + 3. Factor v(i).
-3*(i + 3)*(11*i - 2)
Let g(a) be the first derivative of a**8/1680 - a**6/180 + a**4/24 - 8*a**3/3 + 2. Let c(r) be the third derivative of g(r). Factor c(j).
(j - 1)**2*(j + 1)**2
Let x(s) be the first derivative of s**5/10 - s**4/2 - 7*s**3 - 9*s**2 + 81*s/2 - 106. Determine g so that x(g) = 0.
-3, 1, 9
Let h = -3182/39 + -404/13. Let w = h + 114. Determine o, given that 0 - w*o + 4/3*o**2 = 0.
0, 1
Let n(u) be the second derivative of u**6/10 - 27*u**5/20 - u**4/4 + 9*u**3/2 + 2*u - 21. Factor n(f).
3*f*(f - 9)*(f - 1)*(f + 1)
Let f(r) = 2*r**2 + 12*r - 12. Let z be f(-7). Determine h, given that 4*h**4 + 6*h - 16 + 10*h - 16*h**3 - 3*h**2 + 15*h**z = 0.
-1, 1, 2
Factor -3/2*u**4 - 63/2*u**3 - 810*u - 972 - 243*u**2.
-3*(u + 3)*(u + 6)**3/2
Let f(o) = -24*o**3 - 975*o**2 + 2479*o + 1493. Let w(m) = -8*m**3 - 326*m**2 + 826*m + 498. Let b(q) = 6*f(q) - 17*w(q). Determine i so that b(i) = 0.
-41, -1/2, 3
Let a(d) be the first derivative of d**3/15 + 201*d**2/5 + 40401*d/5 - 295. Let a(z) = 0. What is z?
-201
Let t = -32 + 42. Factor -t*k + 0*k**3 + 5*k**3 + 20*k - 15*k**2.
5*k*(k - 2)*(k - 1)
Factor 34/9*x - 2/9*x**2 + 92/3.
-2*(x - 23)*(x + 6)/9
Solve -64 - 736/3*t - 332/3*t**2 - 40/3*t**3 = 0 for t.
-4, -3/10
Let p be (-40)/20*2/(-6). Let r(a) be the first derivative of 5 + 0*a + p*a**3 - a**2. Factor r(j).
2*j*(j - 1)
Suppose -35*p + 83*p = 0. Let l(w) be the first derivative of 6 + 0*w**2 + 9/5*w**5 + 2*w**6 - 3/4*w**4 + 0*w + p*w**3. Find h, given that l(h) = 0.
-1, 0, 1/4
Let r = -537 + 1588/3. Let f = 8 + r. Factor 1/3*i**3 + i**2 + i + f.
(i + 1)**3/3
Let o be -21 + 21 + (-29)/(-25) + -1. Let v(g) be the first derivative of -o*g**5 + 0*g + 1/30*g**6 - 4 + 1/10*g**2 + 3/10*g**4 - 4/15*g**3. Factor v(u).
u*(u - 1)**4/5
Let p(q) = -q**3 - 8*q**2 - 7*q + 3. Let l be p(-7). Let t(g) = g**3 - g**2 - 1. Let b(m) = -2*m**3 + 1. Let w(d) = l*b(d) + 3*t(d). Factor w(s).
-3*s**2*(s + 1)
Let c(k) = -36*k**2 - 12*k - 2. Let f(n) = n**2 + 5*n + 5. Let b be f(-4). Let m(w) = 2 - 7 + 2 + 2. Let o(h) = b*c(h) - m(h). Solve o(z) = 0.
-1/6
Let w(k) = k**3 + 3*k**2 + 60*k + 353. Let m be w(-5). Let 0 + 39/4*o**2 + 5*o**m + 9/2*o + 3/4*o**4 = 0. Calculate o.
-3, -2/3, 0
Let s(z) be the second derivative of 0*z**2 + 12*z - 1/15*z**4 + 1/15*z**7 + 4/25*z**6 + 0 + 0*z**3 + 3/50*z**5. Let s(i) = 0. Calculate i.
-1, 0, 2/7
Let p(c) be the second derivative of -2*c**7/21 + 38*c**6/15 - 58*c**5/5 - 298*c**4/3 - 682*c**3/3 - 242*c**2 + 3*c. Factor p(l).
-4*(l - 11)**2*(l + 1)**3
Let k(s) = 3*s - 10. Let x be k(4). Factor 6*q**2 + 4*q**3 - 8*q - 3*q**2 + q**x.
4*q*(q - 1)*(q + 2)
Let f(s) be the second derivative of s**5/60 + s**4/6 + s**3/2 + s**2 + 12*s. Let z(y) be the first derivative of f(y). Find q, given that z(q) = 0.
-3, -1
Let z(s) = 9*s + 216. Let g be z(-24). Let h(c) be the first derivative of 1/3*c**3 - 1 + 3/2*c**2 + g*c. Suppose h(v) = 0. What is v?
-3, 0
Solve -2/5*z**3 + 2/5*z + 2*z**2 - 2 = 0 for z.
-1, 1, 5
Let s be (-34)/(-119) + 2/((-14)/345). Let m = -47 - s. Let -2/9 - 2/9*h**m + 4/9*h = 0. Calculate h.
1
Let s(w) = w**2 + 23*w - 22. Let o = -100 + 76. Let f be s(o). Factor 0*m - 6/7*m**f + 2/7*m**3 + 8/7.
2*(m - 2)**2*(m + 1)/7
Let y(b) = 0 + b**4 + 2 - 6 + 5. Let o(f) be the first derivative of -2*f**5/5 - f**4 - 4*f**3/3 - f - 2. Let k(h) = -o(h) - y(h). Factor k(d).
d**2*(d + 2)**2
Let 5*u**5 - 8*u**4 + 6*u**3 - 12*u**2 - 7*u + 20*u**4 - 2*u**5 - 2*u = 0. What is u?
-3, -1, 0, 1
Let z(v) be the second derivative of v**6/180 - 3*v**4/4 + 14*v**3/3 - 20*v. Let t(l) be the second derivative of z(l). Factor t(m).
2*(m - 3)*(m + 3)
Let t be (10/15*2)/((-1)/(-3)). Suppose 95*y**2 - 20*y**4 - 95*y**2 - 16*y**3 - t*y**5 = 0. What is y?
-4, -1, 0
Let d be (2/1)/(2/(-4)). Let g(y) = y**2 + 5*y + 4. Let u be g(d). Factor 0*z + 2/5*z**4 + 0*z**2 + 2/5*z**5 - 4/5*z**3 + u.
2*z**3*(z - 1)*(z + 2)/5
Let k(j) be the third derivative of j**8/112 + 3*j**7/35 + 9*j**6/40 + j**5/5 - 9*j**2. Factor k(a).
3*a**2*(a + 1)**2*(a + 4)
Let a be 341/(-33) + (-2)/(-6). Let z be ((-8)/10)/(a/25). Let 3*g**3 - 2*g + g**2 + 3*g**5 - 3*g**2 - 8*g**4 + g**4 + 5*g**z = 0. What is g?
-2/3, 0, 1
Let w(d) = d + 1. Suppose -3 = -3*b + 3. Let f(y) = -1 + 14*y**b + y + 14*y + 4*y**3 - 6*y. Let a(s) = f(s) + 5*w(s). Factor a(o).
2*(o + 1)*(o + 2)*(2*o + 1)
Let v(g) be the second derivative of -g**8/16800 - g**7/1575 - g**6/450 + g**4/3 - 7*g. Let i(o) be the third derivative of v(o). Let i(j) = 0. Calculate j.
-2, 0
Let x be 5*(-216)/(-1120) - 6/(-21). Factor 1/4*v**3 + 0 + 0*v + x*v**2.
v**2*(v + 5)/4
Let m = 788/291 - 198/97. Find q, given that -3/2*q + 1/3 + 5/6*q**5 + m*q**3 + 5/3*q**2 - 2*q**4 = 0.
-1, 2/5, 1
Let s be (20 - -4)/(4/2). Suppose -2*x = 4*y + 2*x + s, -5*y - x + 5 = 0. Solve 10 - 8*h**3 + 6*h**y - 35*h - 17*h**3 + 5*h**4 + 39*h**2 = 0 for h.
1, 2
Let a be (-10)/4 - (3/1 + -6). Let r(q) be the third derivative of 0 + 5*q**2 + 3/8*q**4 + a*q**3 + 0*q + 3/20*q**5 + 1/40*q**6. Factor r(p).
3*(p + 1)**3
Let m(n) be the first derivative of n**3/7 + 69*n**2/14 - 72*n/7 + 15. Determine v so that m(v) = 0.
-24, 1
Let r(l) be the first derivative of l**6/15 + l**5/10 - l**4/2 - l**3/3 + 2*l**2 - 13*l + 7. Let g(q) be the first derivative of r(q). Solve g(s) = 0.
-2, -1, 1
Determine f, given that 224/5*f**4 + 592/5*f**3 - 294/5*f**5 + 32/5*f + 256/5*f**2 + 0 = 0.
-2/3, -2/7, 0, 2
Let j be (-27 + (-20)/4)*-2. Let q = j - 62. Factor -2/3 + 2*r + 2/3*r**3 - 2*r**q.
2*(r - 1)**3/3
Let w = -1/117 - -40/117. Suppose 2/3*h**3 + 0*h**2 - w*h**5 + 0*h + 0 - 1/3*h**4 = 0. What is h?
-2, 0, 1
Let f(v) be the second derivative of 0*v**2 + 1/30*v**4 + 24*v + 0 - 4/15*v**3. Factor f(z).
2*z*(z - 4)/5
Let v be -1*(-9 + 2 + 5). Let m(b) be the first derivative of 5 - 1/3*b**3 + b + 1/2*b**v - 1/4*b**4. Factor m(u).
-(u - 1)*(u + 1)**2
Suppose 162*v - 5*v**5 - 154*v**3 - 160*v**4 + 38*v**2 + 36 - 3*v**5 + 297*v**4 - 211*v**4 = 0. What is v?
-6, -3, -1, -1/4, 1
Let 140/9*g - 8/9*g**2 + 8/9 - 140/9*g**3 = 0. Calculate g.
-1, -2/35, 1
Let s(a) be the second derivative of -7*a**6/40 - 3*a**5/40 + 21*a**4/16 + 5*a**3/2 + 3*a**2/2 - 13*a + 3. Solve s(x) = 0 for x.
-1, -2/7, 2
Factor -7459 - 376*v - 1377 - 22431*v**2 + 22427*v**2.
-4*(v + 47)**2
Let s(k) = -2*k**2 + k - 2. Let o(m) be the first derivative of -5*m**3/3 + m**2/2 - 3*m - 5. Let l(u) = -3*o(u) + 7*s(u). Determine t, given that l(t) = 0.
-5, 1
What is w in -120/7 + 34/7*w - 2/7*w**2 = 0?
5, 12
Let l(m) be the second derivative of 49*m**7/24 + 539*m**6/60 + 7*m**5/2 - 53*m**4/3 + 38*m**3/3 - 4*m**2 - 71*m. Factor l(g).
(g + 2)**2*(7*g - 2)**3/4
Let i(j) = j**2 - 7*j + 14. Let h be i(3). Let c be 66/88*(h + 0). Let 3/4*y**5 - 3/2*y**3 - c*y**4 + 3/4*y - 3/2 + 3*y**2 = 0. Calculate y.
-1, 1, 2
Suppose 0 = -2*b - 4*w + 4, -2*b = 2*b + 5*w - 20. Let z be b/6 + 24/(-18). Find d such that 0*d + 0 + z*d**2 + 1/3*d**3 - 1/3*d**4 - 1/3*d**5 = 0.
-1, 0, 1
Let c(w) be the third derivative of 0 - 4*w**2 - 1/120*w**5 + 0*w**3 + 0*w - 1/24*w**4. Factor c(d).
-d*(d + 2)/2
Let a(r) = 2*r**4 + 20*r**3 + 60*r**2 - 26*r - 50. Let t(m) = -m**4 - 20*m**3 - 60*m**2 + 25*m + 51. Let l(y) = 5*a(y) + 6*t(y). Suppose l(b) = 0. Calculate b.
-2, -1, 1, 7
Suppose c + 1 = 2. Suppose -3*u + 8*u = 25. Factor -4*z**4 + u + 10*z - c - 18*z + 8*z**3.
-4*(z - 1)**3*(z + 1)
Suppose 2*p = 3*b + 4, 2*b - 25 = -3*b - 3*p. Let z be (-3)/2*((-4