. Factor -4/11*y - 2/11 - s*y**2.
-2*(y + 1)**2/11
Let r be -7 - (-10)/((-60)/(-51)). Let n(o) be the first derivative of -1/4*o**3 + 3/8*o**2 + r*o - 2. Factor n(l).
-3*(l - 2)*(l + 1)/4
Let n(y) be the first derivative of -y**4 + 8*y**3 + 2*y**2 - 120*y - 866. Let n(j) = 0. Calculate j.
-2, 3, 5
Let f(n) be the third derivative of -n**6/40 - 27*n**5/20 + 15*n**4 - 62*n**3 + 39*n**2 + 2. Let f(j) = 0. Calculate j.
-31, 2
Suppose 6*u - 1/3*u**2 + 40/3 = 0. What is u?
-2, 20
Suppose 19*g - 20 - 18 = 0. Let k(m) be the second derivative of 0 + m + 0*m**g + 0*m**3 - 1/4*m**4. Determine u, given that k(u) = 0.
0
Let f be (-6)/9*(-3)/1. Let x = 1035 + -7243/7. Factor 0 + x*n**5 + 0*n**4 - 4/7*n**3 + 0*n**f + 2/7*n.
2*n*(n - 1)**2*(n + 1)**2/7
Let g(z) be the third derivative of 2*z**7/7 + 25*z**6/24 + 13*z**5/12 - 5*z**4/24 - 5*z**3/6 + 71*z**2. Let g(b) = 0. Calculate b.
-1, -1/3, 1/4
Suppose -68/5*k**3 + 22/5*k**4 - 2/5*k**5 + 28/5*k**2 + 14*k - 10 = 0. What is k?
-1, 1, 5
Let d be (-8)/(7 + -47)*0. Let a(q) be the second derivative of -q**3 + 1/6*q**4 + 2*q**2 + d + 2*q. Let a(z) = 0. Calculate z.
1, 2
Suppose -5 = 6*a + 55. Let h be (a/12*-3)/((-6)/(-9)). Find j such that 0 + 0*j - h*j**5 - 9/4*j**3 + 0*j**2 + 6*j**4 = 0.
0, 3/5, 1
Suppose -173*h - 22 + 13*h**2 - 16*h**2 + 138*h = 0. Calculate h.
-11, -2/3
Let y(s) be the third derivative of 0 + 37*s**2 + 0*s**5 - 1/210*s**7 + 0*s + 1/60*s**6 + 1/6*s**3 - 1/12*s**4. Let y(v) = 0. Calculate v.
-1, 1
Let c(t) be the second derivative of -t**7/462 + 7*t**5/220 + t**4/66 - 2*t**3/11 - 4*t**2/11 - 70*t. Determine v, given that c(v) = 0.
-2, -1, 2
Let l(n) be the first derivative of n**4/34 + 2*n**3/51 - 4*n**2/17 - 8*n/17 + 76. Factor l(y).
2*(y - 2)*(y + 1)*(y + 2)/17
Let j be 2 - 7/((-35)/1630). Let o = 2300/7 - j. Factor -2/7 + o*y - 2/7*y**2.
-2*(y - 1)**2/7
Let v(u) = 54*u**2 - 29 - 55*u**2 + 30. Let l = -8 + 6. Let w(q) = 3*q**2 - q - 4. Let g(t) = l*v(t) - w(t). Factor g(o).
-(o - 2)*(o + 1)
Let j(p) be the first derivative of 5*p**6/8 + 123*p**5/10 + 153*p**4/8 - 13*p**3 - 321*p**2/8 - 45*p/2 - 164. Let j(y) = 0. Calculate y.
-15, -1, -2/5, 1
Let h(p) = -11*p + 36. Let j be h(3). Let u(o) be the second derivative of 3/2*o**3 + j*o**2 + 0 + 15*o + 1/4*o**4. Factor u(s).
3*(s + 1)*(s + 2)
Let m = 72 + -77. Let f(p) = 20*p**2 - 11*p + 5. Let t(y) = 19*y**2 - 10*y + 4. Let z(l) = m*t(l) + 4*f(l). Find r, given that z(r) = 0.
0, 2/5
Let t(a) = -a**2 - 5*a + 1. Let j(n) = -n**2 - 3*n + 1. Let v(c) = c + 1. Let u be v(-6). Let p(o) = u*j(o) + 3*t(o). Factor p(w).
2*(w - 1)*(w + 1)
Let u = 761 - 761. Factor -3/7*z**3 + u - 27/7*z - 18/7*z**2.
-3*z*(z + 3)**2/7
Suppose 0 = 24*w - 29*w. Let p(t) be the first derivative of -1/20*t**5 + 1/12*t**3 + 4 + 0*t + w*t**2 - 1/24*t**6 + 1/16*t**4. Factor p(y).
-y**2*(y - 1)*(y + 1)**2/4
Suppose -7*w - 72 - 68 = 0. Let j be (-3)/(-15) - 176/w. Factor -j + 9 - 6*a**4 - 4*a**3 + 2*a**2.
-2*a**2*(a + 1)*(3*a - 1)
Let h(o) be the third derivative of -o**7/42 - 3*o**6/4 - 7*o**5 - 95*o**4/3 - 80*o**3 - 88*o**2. Factor h(t).
-5*(t + 2)**3*(t + 12)
Let z = -27 - -26. Let j be 9/(-63)*(z - 0). Suppose 0*h + 0*h**2 + j*h**3 + 0 + 0*h**4 - 1/7*h**5 = 0. Calculate h.
-1, 0, 1
Let r(y) be the second derivative of 5*y**7/14 - 9*y**6/5 - 3*y**5/20 + 33*y**4/2 - 38*y**3 + 36*y**2 - 55*y. Solve r(n) = 0 for n.
-2, 3/5, 1, 2
Let b(w) = -w**2 + 1. Let u(j) = -j + 12. Let d be u(-6). Let o(h) = 0*h**2 - 2*h + 10*h**2 - d + 0*h**2 + 6. Let i(g) = -18*b(g) - 2*o(g). Factor i(c).
-2*(c - 3)*(c + 1)
Let a be ((-6)/15)/((-2)/90). Suppose 2*i + 4*o - a = 0, -o - 18 = -2*i - 2*o. Factor 3*f**4 - 33*f**3 + 66*f**2 - 27*f + i*f**3 + 28 - 45*f - 1.
3*(f - 3)**2*(f - 1)**2
Let j(o) be the first derivative of o**7/1260 + o**6/270 - o**5/60 - 29*o**3/3 - 25. Let p(i) be the third derivative of j(i). What is b in p(b) = 0?
-3, 0, 1
Let m be -5 + -1 + 51867/(-189). Let w = m - -281. Find c such that 2/7*c**2 - w*c - 6/7 = 0.
-1, 3
Factor 2*d**2 - 4*d + d**2 + d - 2*d**2 - 5*d.
d*(d - 8)
Let k be 98/56 + (-2)/(-8). Let 76*l**4 + 2*l**3 + 2*l**2 - 78*l**4 - 2*l**5 - 2*l + k*l = 0. What is l?
-1, 0, 1
Let p(x) be the first derivative of -3*x**5/20 - 3*x**4/2 - 3*x**3/2 + 15*x**2 - 75*x/4 - 153. Find r such that p(r) = 0.
-5, 1
Suppose -2*m - 25144 = -2*u, 2*m + 2*u = -2*u - 25156. Let x = -62674/5 - m. Solve -96/5*f + x*f**3 + 84/5*f**2 + 16/5 = 0 for f.
-1, 2/7
Let v = -13157 - -13159. Factor 8/5 + 2/5*j**2 + v*j.
2*(j + 1)*(j + 4)/5
Let l(q) be the third derivative of -q**6/24 - 7*q**5/12 + 4*q**2. Factor l(i).
-5*i**2*(i + 7)
Let r(l) = -l**2 + l + 2. Let z be r(-2). Let y be 6/z*(-4 - -2). Determine c, given that -y*c + 1 - 5*c**2 - 20*c**3 + 19*c**3 + 8 = 0.
-3, 1
Find a such that -156/7*a**2 - 8/7*a**3 + 0 - 148/7*a = 0.
-37/2, -1, 0
Let u(s) be the third derivative of 5*s**8/336 - s**7/6 + 5*s**6/8 - 13*s**5/12 + 5*s**4/6 + 178*s**2. Suppose u(f) = 0. Calculate f.
0, 1, 4
Factor 512/7*z - 2/7*z**3 - 116/7*z**2 - 576/7 + 2/7*z**4.
2*(z - 4)**2*(z - 2)*(z + 9)/7
Let k = 164 - 162. What is n in -28/5*n - 98/5 - 2/5*n**k = 0?
-7
Let x = 163/280 + 1/56. Let b(h) be the first derivative of -2*h**2 + 4 + 8/5*h**3 + 6/5*h - x*h**4 + 2/25*h**5. Factor b(k).
2*(k - 3)*(k - 1)**3/5
Let u(b) be the second derivative of -b**4/6 - 82*b**3/3 - 81*b**2 - 79*b - 1. Factor u(a).
-2*(a + 1)*(a + 81)
Let d = 9250 + -83248/9. What is m in 4/9 - d*m - 2/9*m**2 = 0?
-2, 1
Let v(a) be the second derivative of -11/54*a**4 + 8/9*a**2 - 24*a - 1/30*a**5 + 0 + 2/9*a**3. Factor v(x).
-2*(x - 1)*(x + 4)*(3*x + 2)/9
Let c(y) be the second derivative of -39*y - 1/20*y**4 + 4/15*y**3 + 0 - 2/5*y**2. Find i, given that c(i) = 0.
2/3, 2
Let l(h) = -h**2 + 3*h + 8. Let c be l(4). Suppose 0 = c*d + d + 4*m - 17, 2*m = -d + 1. Factor 0*i + 2/5*i**2 - 2/5*i**3 + 2/5*i**d + 0 - 2/5*i**4.
2*i**2*(i - 1)**2*(i + 1)/5
Let j(t) be the third derivative of -5*t**4/8 - 3*t**3 + 24*t**2. Let n(w) = w**2 - 16*w - 19. Let d(m) = 2*j(m) - 3*n(m). What is k in d(k) = 0?
-1, 7
Let b be (5/1)/(((-4)/(-2))/6). Factor -5*g**2 - 3*g**2 + 4 - 11*g**4 + b*g**4.
4*(g - 1)**2*(g + 1)**2
Let 2/15 + 4/3*n**2 + 2/15*n**5 + 2/3*n + 2/3*n**4 + 4/3*n**3 = 0. What is n?
-1
Let j(y) = 2*y - 48. Let x be j(25). Let a(r) be the first derivative of -1/6*r**x + 1 + 5/18*r**3 - 1/8*r**4 + 0*r + 1/36*r**6 - 1/30*r**5. Factor a(w).
w*(w - 1)**3*(w + 2)/6
Let m(l) be the second derivative of -l**5/4 - 65*l**4/12 - 115*l**3/6 - 55*l**2/2 - 7*l + 25. Factor m(z).
-5*(z + 1)**2*(z + 11)
Let u be (-306)/(-10) + (-21)/35. Suppose 5*s = -0*s + u. Solve -7*i**5 - 12*i**4 - 5*i**3 + s*i**3 - 4*i**3 + 2*i**2 = 0.
-1, 0, 2/7
Let z(m) be the third derivative of 1/840*m**6 + 0*m**3 + 1/420*m**5 - 1/168*m**4 - 1/1470*m**7 + 0 + 0*m - 9*m**2. Factor z(g).
-g*(g - 1)**2*(g + 1)/7
Suppose -15*u - 84 = -21*u. Suppose 0 = -3*l - 8 + u. Factor 8/9*a - 2/9*a**l - 2/3.
-2*(a - 3)*(a - 1)/9
Let w(k) = k**5 + k**3 - k**2 + k + 1. Let c(q) = 6*q**5 - 6*q**4 + 18*q**3 + 15*q**2 + 21*q + 9. Let h(s) = c(s) - 9*w(s). Solve h(i) = 0 for i.
-2, -1, 0, 2
Let r be 12/8*136/12. Factor -6*j**4 + 12*j**3 + 20*j**2 + 4 + 14 - r*j - 25*j - 2*j**5.
-2*(j - 1)**3*(j + 3)**2
Suppose 3*r = 2*i - 4*i + 22, r = -3*i + 12. Factor 12/5*x**3 - 21/5*x**i + 0 - 6/5*x.
3*x*(x - 2)*(4*x + 1)/5
Let n(m) = -4*m - 5. Let l be n(-2). Suppose 0*o - 6 - 6*o + l*o**2 + 3*o = 0. Calculate o.
-1, 2
Let h(q) = q**2 - 8*q - 81. Let a be h(-6). Let c(i) be the third derivative of -5/8*i**4 + 0*i**a + 9*i**2 + 0 + 0*i - 1/12*i**5. Solve c(d) = 0 for d.
-3, 0
Let h(v) = -v**3 + 9*v**2 + 26*v - 36. Let y be h(11). Let f be ((-4)/y*12/13)/(-3). Suppose -2/13*g**2 + 0 + 2/13*g**3 - 2/13*g + f*g**4 = 0. What is g?
-1, 0, 1
Factor -n**3 + 0*n - 1/2*n**4 - 1/2*n**2 + 0.
-n**2*(n + 1)**2/2
Factor -85*u**2 + 69*u**2 + 9*u + 79*u**2 - 6 + 27*u**4 + 75*u**3.
3*(u + 1)**3*(9*u - 2)
Suppose -30*k**5 - 36*k**3 + k**4 + 34*k**5 + 60*k - 25*k**4 - 28*k**3 - 8*k**2 + 32 = 0. What is k?
-1, 1, 8
Let a(s) = 5*s**3 - 62*s**2 - 296*s - 392. Let g(w) = -3*w**3 + 41*w**2 + 197*w + 261. Let h(q) = 5*a(q) + 8*g(q). Factor h(f).
(f + 2)*(f + 8)**2
Let r be 1*5*424/1855. Factor -2/7*d + 8/7*d**4 - 2/7*d**5 - 12/7*d**3 + 0 + r*d**2.
-2*d*(d - 1)**4/7