be -3 + (-85)/(-25) - v/(-30). Factor 2/3 + 4/3*u**2 + o*u**3 + 5/3*u.
(u + 1)**2*(u + 2)/3
Let f be (-12)/(-5) + (-2)/5. Suppose -f*r + 18 = 8. Determine y so that -2/3 - 4/3*y - 2/3*y**4 + 4/3*y**2 + 8/3*y**3 - 4/3*y**r = 0.
-1, -1/2, 1
Suppose -2*c = -5*z - 121, -3*z - c - 54 = 12. Let j = -21 - z. Let 3/2*q - 3*q**3 + 3/2*q**4 + 3/2*q**5 + 3/2 - 3*q**j = 0. What is q?
-1, 1
Let p(z) = 23*z**3 + 10*z**2 - 107*z + 108. Let d(v) = -8*v**3 - 4*v**2 + 36*v - 36. Let t(m) = -17*d(m) - 6*p(m). Let t(q) = 0. Calculate q.
-3, 1, 6
Let l be (-9)/(-108)*(-14)/(-6). Let i(s) be the third derivative of 0*s + 0 - 2/9*s**3 - 7/90*s**5 - 1/90*s**6 - l*s**4 - 5*s**2. Solve i(d) = 0.
-2, -1, -1/2
Solve 0 - 2*j**2 - 2/11*j**3 + 0*j = 0.
-11, 0
Factor 0*a - 6/5*a**3 + 0*a**2 + 0 + 3/5*a**4.
3*a**3*(a - 2)/5
Let r(t) be the first derivative of -7 + 1/24*t**3 + 0*t**2 + 0*t. Factor r(i).
i**2/8
Let -o + 5*o - 4*o**2 + 2*o + 7*o**2 = 0. What is o?
-2, 0
Let x(n) be the first derivative of -4*n**2 + 3/5*n**5 + 1/3*n**3 - 4*n - 8 + 2*n**4. Determine u so that x(u) = 0.
-2, -1, -2/3, 1
Let f(j) be the second derivative of j**9/60480 - j**8/26880 - j**4/2 + 6*j. Let b(i) be the third derivative of f(i). Factor b(x).
x**3*(x - 1)/4
Let f(y) be the third derivative of -y**7/3780 + y**6/360 + y**5/45 + 25*y**4/24 - 29*y**2. Let q(a) be the second derivative of f(a). Factor q(c).
-2*(c - 4)*(c + 1)/3
Let z(p) = -42*p - 924. Let y be z(-22). Solve 0*o - 8/17*o**2 - 6/17*o**5 - 24/17*o**3 + y - 22/17*o**4 = 0.
-2, -1, -2/3, 0
Factor -4/5*p**4 - 16/5*p + 16/5*p**2 + 4/5*p**3 + 0.
-4*p*(p - 2)*(p - 1)*(p + 2)/5
Let l(t) = 677*t + 16250. Let o be l(-24). What is d in 0 + 1/5*d**3 + 8/5*d - 9/5*d**o = 0?
0, 1, 8
Let -44/5*o**3 + 6/5 - 34/5*o**2 + 16/5*o = 0. Calculate o.
-1, -3/11, 1/2
Let u(z) be the third derivative of 0 + 0*z**4 + 1/540*z**5 + 4*z**2 - 1/1620*z**6 + 0*z - 1/3*z**3. Let q(p) be the first derivative of u(p). Factor q(y).
-2*y*(y - 1)/9
Let b(g) = -g**4 - g**3 + 24*g**2 + 22*g - 32. Let a(t) = 2*t**4 + 2*t**3 - 72*t**2 - 68*t + 96. Let o(p) = -3*a(p) - 10*b(p). Find f such that o(f) = 0.
-2, 1, 2
Suppose 5*f - 20 = -4*s + f, 15 = -3*s + 3*f. Let q(j) be the second derivative of -2/39*j**3 - 5/78*j**4 + s + 0*j**2 + 2*j. Factor q(o).
-2*o*(5*o + 2)/13
Let f = -81 + 79. Let t(j) = 6*j**2 + 15*j + 27. Let c(q) = -5*q**2 - 16*q - 26. Let y(r) = f*t(r) - 3*c(r). Factor y(w).
3*(w + 2)*(w + 4)
Let j(v) = -v**5 + 3*v**4 - 33*v**3 + 27*v**2 + 6*v. Let f(x) = -3*x**5 + 10*x**4 - 98*x**3 + 81*x**2 + 17*x. Let r(g) = 6*f(g) - 17*j(g). Factor r(s).
-s**2*(s - 3)**3
Let q(u) = -u + 44. Let d be q(44). Let h(j) be the third derivative of d*j**3 + 1/180*j**5 + 1/180*j**6 + 1/630*j**7 + 0*j**4 + 0*j + 0 - 2*j**2. Factor h(r).
r**2*(r + 1)**2/3
Let o = -849 - -853. Let a(t) be the second derivative of -4*t - 2/3*t**3 + 0*t**2 + 0 - 1/20*t**5 + 5/12*t**o. Determine c, given that a(c) = 0.
0, 1, 4
Let w(k) = -k**4 + k**3 - k. Let g(n) = 8*n**4 - 11*n**3 + n**2 + 13*n. Let i(c) = -2*g(c) - 14*w(c). Factor i(y).
-2*y*(y - 3)*(y - 2)*(y + 1)
Factor -d**3 - 1/2*d**4 + 7/2*d**2 - 2*d + 0.
-d*(d - 1)**2*(d + 4)/2
Let v = -1229 - -1231. Suppose 8/3*u**4 + 0*u + 2/3*u**v + 0 - 10/3*u**3 = 0. What is u?
0, 1/4, 1
Let t(y) be the third derivative of y**8/336 - 2*y**7/105 - y**6/15 + 16*y**5/15 - 14*y**4/3 + 32*y**3/3 + 33*y**2 - 3*y. Let t(a) = 0. What is a?
-4, 2
Let n(i) = 26 + 8*i - 2*i - 5*i + 2*i. Let k be n(-8). Factor 0*b**k - 2/17*b + 0*b**4 + 0 - 2/17*b**5 + 4/17*b**3.
-2*b*(b - 1)**2*(b + 1)**2/17
Let t(s) be the third derivative of s**6/40 - s**5/10 + 48*s**2. Determine v so that t(v) = 0.
0, 2
Let -14/11*d**3 + 24/11*d - 16/11 + 0*d**4 + 2/11*d**5 + 4/11*d**2 = 0. Calculate d.
-2, 1, 2
Factor 11*o + 3*o + 2*o + 0*o**2 + o**2 + 52 + 12.
(o + 8)**2
Let l(y) be the first derivative of -y**2 - 4*y - 1. Let g be l(-4). Find m such that -6*m - 2 - 13/2*m**2 - 1/2*m**g - 3*m**3 = 0.
-2, -1
Let m(q) be the third derivative of q**6/60 - 2*q**5/15 + 5*q**4/12 - 2*q**3/3 - 16*q**2 - 3*q. Factor m(h).
2*(h - 2)*(h - 1)**2
Factor 345*q**2 + 515*q**3 - 355*q**3 + 20*q**4 + 50 + 78*q + 157*q.
5*(q + 2)*(q + 5)*(2*q + 1)**2
Suppose 0 - 38/3*p**2 - 4*p + 68/3*p**3 - 6*p**4 = 0. Calculate p.
-2/9, 0, 1, 3
Suppose 9 = -t - 3*w, 5*t - 19 = 2*w - 13. Solve t - 1/4*s - 1/4*s**2 = 0 for s.
-1, 0
Let g be (((-10)/215)/(2/(-4)))/2. Let m = g + 68/387. Factor -2/9*p + m*p**3 + 2/9*p**2 - 2/9.
2*(p - 1)*(p + 1)**2/9
Factor 0*u - 2/15*u**2 - 2/5*u**3 + 0 - 2/5*u**4 - 2/15*u**5.
-2*u**2*(u + 1)**3/15
Let k(h) = h**2 - 10*h + 2. Let y(g) = g**2 + 13*g - 33. Let z be y(2). Let t(i) = i. Let x(a) = z*k(a) - 21*t(a). Solve x(s) = 0 for s.
1, 2
Let a(v) be the second derivative of -v**4/36 - 10*v**3/9 - 6*v**2 + 26*v - 5. Factor a(m).
-(m + 2)*(m + 18)/3
Let g be 10*((-7)/5 + 1). Let k be (g/6)/(12/(-36)). Factor 3*q**4 - 7*q**3 + 3*q**2 + 2*q**4 - k*q**4 + q**3.
3*q**2*(q - 1)**2
Let z(u) be the third derivative of -1/420*u**7 + 0*u + 0 + 0*u**4 + 0*u**3 + 1/60*u**6 + 10*u**2 - 1/30*u**5. Suppose z(x) = 0. What is x?
0, 2
Let v(y) be the second derivative of y**4/4 - 45*y**3/2 + 129*y**2 + 422*y. Factor v(i).
3*(i - 43)*(i - 2)
Let l(p) = 6*p**2 - 2*p + 6. Let w = -12 - -12. Let h be 0 - (0 - -1 - w). Let n(b) = -b**2 - 1. Let f(q) = h*l(q) - 5*n(q). Find j, given that f(j) = 0.
1
Let o be (-6)/140 - (-9 - (-744)/84). Let f(s) be the first derivative of 2/5*s**3 - o*s**6 - 3/5*s + 8 + 3/10*s**4 - 3/10*s**2 - 3/25*s**5. Factor f(u).
-3*(u - 1)**2*(u + 1)**3/5
Factor 12*l + 187 - 2*l**2 - 410 + 277.
-2*(l - 9)*(l + 3)
Suppose 17*q - 2*q + 4*q = 0. Let y(n) be the second derivative of 0*n**2 + 1/2*n**4 + q*n**3 + 0 - 12*n + 3/20*n**5. Find d such that y(d) = 0.
-2, 0
Let x(h) be the third derivative of 0 - 1/30*h**6 + 0*h - 6/5*h**5 - 18*h**4 - 144*h**3 + h**2. Factor x(s).
-4*(s + 6)**3
Let a(b) be the second derivative of 1/252*b**7 + 1/60*b**6 + 0*b**2 - 18*b - 1/18*b**4 + 0*b**3 + 0 + 0*b**5. Factor a(u).
u**2*(u - 1)*(u + 2)**2/6
Let f(g) be the third derivative of 1/48*g**6 + 0 - 1/6*g**5 + 0*g**3 + 5/16*g**4 + 0*g - 40*g**2. Factor f(n).
5*n*(n - 3)*(n - 1)/2
Let g(r) = -r + 6. Let w be g(4). Let c be w/(13 + (-12)/3). Solve 0 + c*o - 2/9*o**2 = 0 for o.
0, 1
Let p(f) = 2*f**2 - 3*f + 3. Let q be p(1). Factor -9*h**2 + q*h**3 - 5*h**3 + 3*h - 3*h - 6*h.
-3*h*(h + 1)*(h + 2)
Let p = -26 + 34. Find t, given that 9*t**3 - 28*t**4 + t**5 + p*t + 12*t**2 - 7*t**5 - 21*t**3 - 6*t**5 = 0.
-1, 0, 2/3
Factor 6 + 21*d + 4 + 2 - 3*d**3 + 6*d**2.
-3*(d - 4)*(d + 1)**2
Suppose 10*a - 54 + 14 = 0. Factor 31*m**3 + 0*m**5 - 89*m**a + 3*m**5 - 7*m**3 + 68*m**4 + 48*m**2.
3*m**2*(m - 4)**2*(m + 1)
Let c = -1533/5 + 307. Let l = 7 + -7. What is j in l - 4/5*j**2 - c*j**3 - 2/5*j = 0?
-1, 0
Let w(g) be the third derivative of 19*g**2 - 11/4*g**5 - 7*g**4 + 0*g - 6*g**3 + 5/8*g**6 + 0. Factor w(z).
3*(z - 3)*(5*z + 2)**2
Let h(m) be the first derivative of -1/18*m**6 - 5/12*m**4 + 2/9*m**3 + 11 + 4/15*m**5 + 0*m**2 + 0*m. Factor h(t).
-t**2*(t - 2)*(t - 1)**2/3
Let x(z) be the second derivative of -11*z**5/20 - 19*z**4/4 - 38*z**3/3 - 6*z**2 + 2*z + 364. Let x(n) = 0. What is n?
-3, -2, -2/11
Let v(z) be the second derivative of 0 - 5/6*z**3 + 16*z + 3/2*z**2 - 1/60*z**5 + 7/36*z**4. What is m in v(m) = 0?
1, 3
Let p(n) be the first derivative of n**8/7560 + n**7/1890 - n**6/1620 - n**5/270 + 7*n**3/3 + 8. Let b(l) be the third derivative of p(l). Solve b(m) = 0.
-2, -1, 0, 1
Let z(i) = -3*i**3 + 161*i**2 + 149*i + 10. Let r(m) = m**2 - 2*m + 2. Let k(a) = 5*r(a) - z(a). Suppose k(v) = 0. What is v?
-1, 0, 53
Let s = -56619 - -396343/7. Factor -8/7 + s*p**3 - 24/7*p - 6/7*p**2.
2*(p - 2)*(p + 1)*(5*p + 2)/7
Suppose 2*k + g = 0, -18*g + 15*g - 12 = 0. Let f(c) be the first derivative of 0*c**k + 0*c - 1/15*c**3 + 5. Determine r, given that f(r) = 0.
0
Factor 0 + 1/6*g**2 + 1/6*g - 1/6*g**3 - 1/6*g**4.
-g*(g - 1)*(g + 1)**2/6
Factor 7*f + f + 3*f**2 - 8*f**3 + 7*f**2 + 10*f**3.
2*f*(f + 1)*(f + 4)
Let n(s) = 5*s**3 + 1287*s**2 + 184041*s + 8772617. Let p(f) = -21*f**3 - 5148*f**2 - 736164*f - 35090466. Let m(v) = 9*n(v) + 2*p(v). Factor m(u).
3*(u + 143)**3
Determine d, given that 3/7*d + 0 + 3/7*d**2 = 0.
-1, 0
Let h(o)