 n be ((-2)/(-5))/((-2)/(-340)). Suppose -6*s - 44 + n = 0. Find u, given that 1/7*u**s + 1/7*u + 1/7*u**5 - 2/7*u**2 - 2/7*u**3 + 1/7 = 0.
-1, 1
Factor 8*l**3 + 0*l**4 - 1/2*l**5 + 33/2*l - 5 - 19*l**2.
-(l - 2)*(l - 1)**3*(l + 5)/2
Determine y, given that -8/7*y**2 + 0 + 2/7*y**3 - 10/7*y = 0.
-1, 0, 5
Let y(i) be the first derivative of 18*i**5/5 - 47*i**4/2 + 164*i**3/3 - 52*i**2 + 16*i + 380. Suppose y(r) = 0. What is r?
2/9, 1, 2
Let n = 79/12 + -47/12. Factor 50/3*w**2 + n + 40/3*w.
2*(5*w + 2)**2/3
Let w(q) = -2*q**2 - 23*q - 19. Let j be w(-10). Let c = j - 8. What is m in 2/5*m**2 + 0*m - 7/5*m**c + 0 + m**4 = 0?
0, 2/5, 1
Let b(s) be the first derivative of -s**3/18 - s**2/2 + 8*s/3 + 358. What is q in b(q) = 0?
-8, 2
Let k(x) be the third derivative of -1/12*x**4 + 0 + 0*x - 1/15*x**3 + 7*x**2 - 1/24*x**5. Factor k(u).
-(5*u + 2)**2/10
Let m be (-47)/(-1) + (-9 + 3 - -8). Solve -5*u**5 - 43*u**2 - 25*u**3 - 20*u - 30*u**4 - 40*u**3 - m*u**2 + 32*u**2 = 0 for u.
-2, -1, 0
Let z(r) be the third derivative of -r**5/75 + 2*r**3/15 - 18*r**2 + 4. Find g such that z(g) = 0.
-1, 1
Suppose 212/3*t**4 + 24*t**5 + 0 - 4/3*t + 20*t**2 + 68*t**3 = 0. What is t?
-1, 0, 1/18
Let s(t) = 15*t - 296. Let h be s(20). Factor -50/9*m**h + 0 + 0*m - 2/9*m**2 + 20/9*m**3.
-2*m**2*(5*m - 1)**2/9
Factor 12/7*g + 0 - 6/7*g**3 - 6/7*g**2.
-6*g*(g - 1)*(g + 2)/7
Let q(d) = d**5 - 3*d**4 - 6*d**3 - 6*d**2 + 9*d + 5. Let h(u) = u**3 - u**2. Let s(l) = 20*h(l) - 5*q(l). Factor s(k).
-5*(k - 5)*(k - 1)*(k + 1)**3
Let y(k) = -5*k**2 + 2*k - 1. Let q be y(1). Let c be -1 + (q - -2) - -6. Determine s, given that 9*s + 5*s**2 - 5*s**4 - 10*s**3 + c*s - 2*s = 0.
-2, -1, 0, 1
Let m(p) = p**2 - p - 29. Let t be m(-4). Let z be ((-3)/6)/(((-45)/(-20))/t). Factor -4/9 - 2/3*d - 2/9*d**z.
-2*(d + 1)*(d + 2)/9
Suppose -139*p + 30*p + 484 + p**2 + 65*p = 0. Calculate p.
22
Suppose -v - 2*f + 23 = 0, v - 3 = -0*v + 2*f. Suppose v*s = 16*s - 12. Let 0 - 5/6*i**2 + 5/6*i**s - 1/3*i + 1/3*i**3 = 0. Calculate i.
-1, -2/5, 0, 1
Let -5539/5*y**3 - 5207/5*y**4 - 1681/5*y**5 - 176/5*y - 4/5 - 437*y**2 = 0. What is y?
-1, -2/41
Let u(h) = h - 1. Let n(q) be the first derivative of 4*q**2 - 8 - 20*q + 4/3*q**3. Let r(d) = n(d) - 12*u(d). Factor r(t).
4*(t - 2)*(t + 1)
Determine b, given that 288 - 4*b**5 + 0*b**5 + 39612*b**4 - 40*b**2 - 39612*b**4 - 240*b + 60*b**3 = 0.
-3, 2
Let j be 5 - (-20)/(-32)*8. Suppose 6 + 6 = 3*w. Factor 0*l + 1/5*l**3 + 0 + j*l**2 + 1/5*l**w.
l**3*(l + 1)/5
Suppose 5*l - 2*q = 12, 6*q = -2*l + 2*q. Let k(w) be the first derivative of -1/18*w**3 + 1/6*w**l + 1 - 1/6*w. Solve k(t) = 0 for t.
1
Let k(h) = h**2 + 2*h + 3. Let z be k(-5). Factor -4*o**4 - 33*o**3 + 13*o**3 - 5*o**2 - o**2 - z*o**2 + 16*o + 32.
-4*(o - 1)*(o + 2)**3
Factor -40*w**3 + 2*w**4 + 9*w**4 - 15*w**4 - 108 - 222*w - 144*w**2 + 6*w.
-4*(w + 1)*(w + 3)**3
Let c(f) be the third derivative of -f**8/1344 + f**7/280 - f**6/480 - f**5/80 + f**4/48 - 20*f**2 - f. Solve c(p) = 0 for p.
-1, 0, 1, 2
Let d be ((-77)/(-28) - (-2)/(-1))/(2820/6016). Determine t, given that -2/5*t**2 + 6/5*t + d = 0.
-1, 4
Let o be (4/3)/(52/(-12) + 5). Suppose -o*d + 3 + 5 = 0. Factor 0 + 6/5*r**3 + 2/5*r**d + 2/5*r + 6/5*r**2.
2*r*(r + 1)**3/5
Suppose -3*q = u + 5, -2*q - 4*u = -14 + 4. Let y be 11/22 - q/24*-2. Factor 0 + y*o - 1/4*o**2.
-o*(o - 1)/4
Let h be (-6)/14*(8 + -15). Let s be 5 + 8/((-8)/h). Solve 74/13*j**3 + 8/13*j + 18/13*j**5 + 0 + 40/13*j**s + 60/13*j**4 = 0.
-1, -2/3, 0
Let h(s) be the first derivative of 0*s - 11 - 2/15*s**3 + 0*s**2 + 1/25*s**5 + 1/20*s**4. Factor h(i).
i**2*(i - 1)*(i + 2)/5
Let m(p) = 6*p**3 - 5*p**2 + 4*p + 5. Let b(w) = -3*w**2 + 2. Let n be b(-2). Let y(c) = c**3 - c**2 + c + 1. Let f(a) = n*y(a) + 2*m(a). Factor f(o).
2*o*(o - 1)*(o + 1)
Let r(t) = t**5 - t**4. Let z(u) = 5*u**4 - 24*u**5 + 3*u**3 + 6*u**2 - 2*u**4 + 0*u**3. Suppose -69 - 6 = -5*j. Let y(d) = j*r(d) + z(d). Factor y(l).
-3*l**2*(l + 1)**2*(3*l - 2)
Determine k, given that -2*k**2 + 16*k**3 + k + 0*k - 19*k**3 = 0.
-1, 0, 1/3
Let p(d) be the first derivative of -19*d**6/15 - 126*d**5/25 - 15*d**4/2 - 74*d**3/15 - 6*d**2/5 - 253. Find n such that p(n) = 0.
-1, -6/19, 0
Let r(i) = 4*i + 3*i**3 + 6 + 2 - 13*i**2 + 0. Let d(x) = -x - 2*x**2 + 9 + 3*x**2 - 8. Let m(n) = 4*d(n) + r(n). Suppose m(v) = 0. What is v?
-1, 2
Let k = -787 - -794. Let i(u) be the second derivative of 0*u**3 + 1/15*u**5 + 0*u**2 - 3*u + 1/63*u**k + 1/15*u**6 + 0*u**4 + 0. Find p such that i(p) = 0.
-2, -1, 0
Factor 139/2*b - 1/2*b**3 - 47 - 22*b**2.
-(b - 2)*(b - 1)*(b + 47)/2
Let k be (12/20)/(45/50). Let -2/3*c**3 + k*c + 1/3*c**2 - 1/3*c**4 + 0 = 0. What is c?
-2, -1, 0, 1
Let p(u) be the third derivative of 0*u**3 + 0 - 12*u**2 + 0*u + 0*u**5 + 1/200*u**6 - 1/40*u**4. Factor p(m).
3*m*(m - 1)*(m + 1)/5
Suppose 7*l + 180 = 12*l. Solve l*c + 3*c**3 + 20*c**2 - 54*c**2 + 11*c**3 + 16 - 32*c**2 = 0.
-2/7, 1, 4
Let a(l) = 3*l**3 + 44*l**2 + 439*l - 1054. Let g(t) = -4*t**3 - 44*t**2 - 440*t + 1052. Let n(f) = 3*a(f) + 2*g(f). Let n(j) = 0. What is j?
-23, 2
Let -2*z**3 + 4/3*z - 2/3*z**2 + 0 = 0. Calculate z.
-1, 0, 2/3
Let x(c) be the first derivative of c**5/20 + c**4/16 - 5*c**3/4 + 23*c**2/8 - 5*c/2 - 78. Factor x(k).
(k - 2)*(k - 1)**2*(k + 5)/4
Let s = 213 - 53. Let d = 164 - s. Let -10*n - 8*n**3 - 29/2*n**2 - 2 - 3/2*n**d = 0. What is n?
-2, -1, -1/3
Factor -3/2*v**4 + 0*v + 99/2*v**3 - 48*v**2 + 0.
-3*v**2*(v - 32)*(v - 1)/2
Let d(n) be the second derivative of -23*n + 4*n**2 + 0 + 7/6*n**4 - 16/3*n**3. Solve d(b) = 0 for b.
2/7, 2
Suppose 0 + 0*h - 1/2*h**3 - h**2 = 0. What is h?
-2, 0
Let u(l) = l + 18. Let d be u(10). Suppose 15*m - d = 2. Let 2/9*c**5 + 0 + 0*c**4 - 4/9*c**3 + 2/9*c + 0*c**m = 0. Calculate c.
-1, 0, 1
Let v(m) = 7*m**2 + 5*m - 14. Let x be v(-7). Let w be x/24 + ((-5)/4)/5. Factor 15/2*c**4 + 3/2 + 27*c**2 - w*c - 24*c**3.
3*(c - 1)**3*(5*c - 1)/2
Let c(i) = -i**2 + 8*i + 3. Let w be c(8). Suppose -3*j + w = -3. Let -4*q + 4*q + q**j - 7*q**2 + 3*q**3 = 0. What is q?
0, 2
Find q, given that 15*q - 159*q**4 - 10*q**2 + 159*q**4 - 20*q**3 + 5*q**5 + 10 = 0.
-1, 1, 2
Factor 4*c**4 - 15*c**3 - 129*c**2 + 139*c**2 + c**4.
5*c**2*(c - 2)*(c - 1)
Factor 3 - 1 + 11*m**2 - 11 + 3 + 5*m.
(m + 1)*(11*m - 6)
Suppose -5*t + 11 = -b, 3*t - 2*b + 0*b = 1. Factor -2*f + 2*f**t + 0*f**4 - 2*f**2 - 4*f**4 + 6*f**4.
2*f*(f - 1)*(f + 1)**2
Let y be (-114)/24*-131*(-8)/(-14). Let r = -355 + y. Suppose 0 + 20/7*h**3 - 12/7*h**5 + r*h**2 - 8/7*h - 4/7*h**4 = 0. What is h?
-1, 0, 2/3, 1
Let -25/2*c + 25/2*c**2 + 0 + 3*c**3 = 0. What is c?
-5, 0, 5/6
Let h(v) = -v**2 - 21*v + 134. Let a be h(-26). Find x, given that 8 - a*x**3 + 1/2*x**4 - 4*x**2 + 8*x + 1/2*x**5 = 0.
-2, -1, 2
Suppose 12*h + 96 = 14*h + 46*h. Determine v so that 9*v - 81/2 - 1/2*v**h = 0.
9
Let h(y) = 9*y**3 - 15*y**2 - 28*y - 36. Let n(c) = 7*c**3 - 14*c**2 - 29*c - 36. Let r(x) = 4*h(x) - 5*n(x). Factor r(f).
(f + 3)**2*(f + 4)
Let r(k) be the third derivative of k**8/2688 - 11*k**7/840 + 37*k**6/960 + 2*k**5/15 - 19*k**4/48 - 5*k**3/3 + 888*k**2. Let r(t) = 0. What is t?
-1, 2, 20
Suppose -5*r = n + 2 - 37, -5*n + 43 = 3*r. Let v(p) be the third derivative of -r*p**2 - 1/60*p**5 + 0*p + 0 + 1/18*p**4 - 1/18*p**3. Factor v(h).
-(h - 1)*(3*h - 1)/3
Let i(r) be the third derivative of 0*r**3 + 0 + 1/6*r**4 - 1/630*r**7 + 9*r**2 - 1/360*r**6 + 2/45*r**5 + 0*r. Factor i(w).
-w*(w - 3)*(w + 2)**2/3
Let v(w) be the third derivative of 7*w**6/600 - 37*w**5/300 + w**4/12 - w**2. Find u, given that v(u) = 0.
0, 2/7, 5
Let s(n) be the second derivative of 0*n**2 + 6*n + 0 + 3/2*n**5 + 5/6*n**3 + 2/3*n**6 + 5/42*n**7 + 5/3*n**4. What is h in s(h) = 0?
-1, 0
Factor 2/5*k**3 - 43904/5 - 168/5*k**2 + 4704/5*k.
2*(k - 28)**3/5
Let m(a) = 42*a**3 + 189*a**2 + 133*a - 22. Let l(y) = y**3 - 3*y**2 - y - 1. Let o(g) = -2*l(g) + m(g). Factor o(n).
5*(n + 1)*(n + 4)*(8*n - 1)
Let 36*i + 2/5*i**2 + 810 = 0. Calculate i.
-45
Factor 0*r**3 - 3/5*r**5 + 0*r**2 + 0*r + 0 - 18*r**4.
-3*r**4*(r + 30)/5
Let h(v) be the first derivative of 14/33*v**3 - 32 + 0*v - 2/11*v**2. Factor h(a).
2*a*(7*a - 2)/11
Let d(k) be the third derivative of k**6/780 - 7*k**5/195 - 17*k**4/39 - 24*k**3/13 + 5