5*w**2/2 + 4*w - 70. Find o such that j(o) = 0.
-1, 2, 4
Let b be 4 + (35/15)/((-30)/36). Factor -2/5*n**2 - 8/5*n - b.
-2*(n + 1)*(n + 3)/5
Factor -6*d + 0 - 9*d**3 + 27/2*d**2 + 3/2*d**4.
3*d*(d - 4)*(d - 1)**2/2
Suppose 4/9*k**2 - 124/9*k + 0 = 0. What is k?
0, 31
Suppose -7*y - 5*g = -2*y + 510, y + 5*g = -94. Let a be (-140)/y + (-2)/(-13). Factor -1 + 0*p**2 + a*p - 1/2*p**3.
-(p - 1)**2*(p + 2)/2
Let w(a) = a**2 - 6*a - 13. Let b be w(6). Let m = -10 - b. Factor 13*x + x**3 - 4*x**2 - 17*x + m*x**3 + 4.
4*(x - 1)**2*(x + 1)
Factor -22 - 13*l + 23*l - 3*l**3 + l**3 - 18*l**2 + 32*l.
-2*(l - 1)**2*(l + 11)
Let z(o) be the first derivative of 2*o**2 - 5/6*o**3 - 10 + 1/8*o**4 - 2*o. Factor z(j).
(j - 2)**2*(j - 1)/2
Let m(r) = 38*r**2 + 180*r + 650. Let w(o) = -17*o**2 - 90*o - 325. Let t(g) = 3*m(g) + 7*w(g). Factor t(y).
-5*(y + 5)*(y + 13)
Let s = 551 + -547. Let b(p) be the second derivative of 0*p**s - 1/30*p**5 + 0*p**2 + 0*p**3 + 0 - p. Factor b(d).
-2*d**3/3
Let y(b) be the second derivative of -b**7/42 - 7*b**6/90 + b**5/10 + b**4/3 - 4*b**3/9 + 101*b. Find s, given that y(s) = 0.
-2, 0, 2/3, 1
Let z = 31 + -22. Factor r**2 + r**3 + 6*r - z*r + r**2.
r*(r - 1)*(r + 3)
Factor -188 + 6*s**2 - 28*s + 56 - 64 - 7*s**2.
-(s + 14)**2
Factor 6 + 133/2*x**2 + 49/2*x**3 + 38*x.
(x + 2)*(7*x + 2)*(7*x + 3)/2
Suppose q + 7 - 3 = -2*c, c + 4*q + 30 = 0. Factor 1/3*o - 1/3*o**2 + c.
-(o - 3)*(o + 2)/3
Let t(f) be the first derivative of -f**4/2 - 11*f**3/3 + 3*f**2 - 69. Factor t(h).
-h*(h + 6)*(2*h - 1)
Let m(b) be the first derivative of -10*b**3/3 + 25*b**2/2 + 125*b - 72. Factor m(o).
-5*(o - 5)*(2*o + 5)
Let u(a) be the third derivative of -a**6/1380 - 7*a**5/230 - 33*a**4/92 - 45*a**3/23 + 18*a**2 + 10*a. Suppose u(k) = 0. What is k?
-15, -3
Let w(t) = -10*t**3 - 35*t**2 - 15*t - 5. Let h(r) = -5*r**3 - 17*r**2 - 8*r - 2. Let v = 35 - 33. Let k(g) = v*w(g) - 5*h(g). Find c, given that k(c) = 0.
-2, -1, 0
Let m(n) be the third derivative of 27/10*n**6 + 0 + 40*n**2 + 42/5*n**5 - 34/3*n**4 + 16/3*n**3 + 0*n. Suppose m(p) = 0. Calculate p.
-2, 2/9
Let d be -1 + (-1)/(-1 - (-2 + 2)). Factor -9*a**2 + d*a**3 - 3*a**3 + 14 - 9*a - 17.
-3*(a + 1)**3
Solve 0 - 18/7*l**4 + 0*l - 2/7*l**5 - 30/7*l**3 - 2*l**2 = 0 for l.
-7, -1, 0
Let n = -12300 - -12300. Let -4/3*l - 6*l**3 + n - 22/3*l**2 = 0. Calculate l.
-1, -2/9, 0
Suppose -3*o = -5*j + 120, -6*j = -4*o - 2*j - 160. Let h = o + 42. Solve -1/5 - 1/5*k**h + 2/5*k = 0 for k.
1
Find r such that 307 + r**2 + r**2 + 98 + 3*r**2 - 90*r = 0.
9
Suppose -o = 2*b - 4*b - 4, 2*o - b + 4 = 0. Let w(h) = -h - 3. Let l be w(o). Suppose l + 3*x**3 + x**3 - 7*x**3 + 9*x + 5 = 0. Calculate x.
-1, 2
Let f(b) be the third derivative of -b**8/840 + 4*b**7/525 - b**6/100 + 16*b**2 - 1. Factor f(j).
-2*j**3*(j - 3)*(j - 1)/5
Suppose -17*d + 53878 = 53793. What is c in -30*c**3 - 98/3*c**2 - 8/3 - 38/3*c**4 - 16*c - 2*c**d = 0?
-2, -1, -1/3
Let r be 56/70 - 83/105. Let i(w) be the second derivative of -1/42*w**4 - 1/21*w**3 + 0 + r*w**6 + 0*w**2 + 4*w + 1/70*w**5. Factor i(c).
2*c*(c - 1)*(c + 1)**2/7
Let w(s) be the second derivative of s**5/80 - s**4/16 - s**3/24 + 3*s**2/8 - 17*s + 3. Find d, given that w(d) = 0.
-1, 1, 3
Let k = 384 - 378. Let j(i) be the second derivative of i + 0*i**4 + 0*i**2 + 0*i**3 + 0 + 0*i**k + 1/168*i**7 + 0*i**5. Solve j(b) = 0 for b.
0
Let y = -48508/7 + 6930. Determine j, given that 0 - y*j**3 + 6/7*j**2 - 4/7*j = 0.
0, 1, 2
Let p be 104/(-16)*54/(-117). Suppose -7/5*h**p - 61/10*h**2 - 18/5 - 1/10*h**4 - 42/5*h = 0. Calculate h.
-6, -1
Let a(u) be the first derivative of u**4/32 + u**3/3 + 7*u**2/16 + 56. Determine y so that a(y) = 0.
-7, -1, 0
Suppose -4*d + 3*f = -17, -4*d - f + 27 = 6. Let j = d + -2. Factor -4*b - 5*b**2 - 6*b**3 + 15*b**2 - 3*b**3 + 3*b**j.
-2*b*(b - 1)*(3*b - 2)
Factor 32/5*q**3 + 12/5*q + 0 - 44/5*q**2.
4*q*(q - 1)*(8*q - 3)/5
Let r = -7 + 9. Factor 2*n**2 + 180 + n**2 - 60*n + 2*n**r.
5*(n - 6)**2
Let x(s) be the third derivative of -s**8/840 - 17*s**7/525 - 11*s**6/60 + 71*s**5/50 + 36*s**4/5 - 324*s**3/5 - 99*s**2. Let x(f) = 0. Calculate f.
-9, -3, 2
Suppose 2*k + k = 39. Let o(a) = a**2 - 14*a + 16. Let t be o(k). Factor 1/5*x**t + 1/5 - 1/5*x - 1/5*x**2.
(x - 1)**2*(x + 1)/5
Let c(o) be the second derivative of -o**5/2 + 115*o**4/24 - 25*o**3/2 - 45*o**2/4 - 105*o. Determine u, given that c(u) = 0.
-1/4, 3
Let w(q) = q**2 - q - 1. Let i = -4 - -3. Let p(s) = -14*s**2 - 8*s - 38. Let x(r) = i*p(r) - 12*w(r). Suppose x(h) = 0. Calculate h.
-5
Let j(s) be the third derivative of -s**6/40 + 11*s**5/20 - 17*s**4/4 + 12*s**3 + 18*s**2 + 3*s. Determine h, given that j(h) = 0.
1, 4, 6
Let s(w) be the second derivative of -w**7/63 - 2*w**6/45 + w**4/9 + w**3/9 - 27*w + 2. Factor s(t).
-2*t*(t - 1)*(t + 1)**3/3
Suppose -5*u - 2*v = -33, -3*v + 5 = -5*u + 18. Suppose 0 = n, -u*o + 20 = n - 2*n. Factor o - 14*h + 0 + 14*h**2 - 4*h**2.
2*(h - 1)*(5*h - 2)
Let f(n) be the third derivative of -n**7/7560 - n**6/120 - 9*n**5/40 + 5*n**4/8 + 43*n**2. Let s(q) be the second derivative of f(q). Factor s(j).
-(j + 9)**2/3
Let u(j) = -8*j**2 + 28*j + 68. Let k(w) = -17*w**2 + 56*w + 135. Let l(v) = 4*k(v) - 9*u(v). Determine x, given that l(x) = 0.
-2, 9
Let f(y) be the third derivative of -1/7*y**3 + 0*y - 37*y**2 - 1/210*y**5 + 1/21*y**4 + 0. Factor f(r).
-2*(r - 3)*(r - 1)/7
Let z(k) = 2*k**3 - k**2 - 2*k. Let a(d) = 9*d**3 + 228*d**2 - 6*d. Let c(s) = a(s) - 3*z(s). Factor c(w).
3*w**2*(w + 77)
Let s = -5306 + 26534/5. Let -s*k**4 - 8/5*k**3 + 0*k - 4/5*k**2 + 0 = 0. What is k?
-1, 0
Let n(a) be the first derivative of 0*a - 1/9*a**3 - a**2 - 27. What is x in n(x) = 0?
-6, 0
Suppose 3*b = -6 + 3. Let g be ((-34)/(-14) - 3)*b. Factor 2/7*t - g*t**2 - 4/7*t**3 + 2/7*t**5 + 2/7*t**4 + 2/7.
2*(t - 1)**2*(t + 1)**3/7
Let z be -4*(-3 + (-5)/(-2)). Factor 7*w + 2*w**z - 2*w - 11*w.
2*w*(w - 3)
Let g(f) be the second derivative of -1/60*f**4 + 1/6*f**3 - 2/5*f**2 + 5*f + 0. Determine i so that g(i) = 0.
1, 4
Let p(d) be the second derivative of d**5/4 - 5*d**4/3 - 25*d**3/6 - 76*d + 2. Suppose p(u) = 0. Calculate u.
-1, 0, 5
Let s(x) be the second derivative of x**5/120 + x**4/4 + 11*x**3/12 + 4*x**2/3 - 2*x + 83. Factor s(v).
(v + 1)**2*(v + 16)/6
Let t(z) be the first derivative of z**7/315 - z**6/360 - z**5/180 + 7*z**2/2 + 4. Let m(k) be the second derivative of t(k). Factor m(v).
v**2*(v - 1)*(2*v + 1)/3
Let -62 + 3*p**5 - 42*p**4 - 122 - 104 + 49*p**3 + 672*p + 176*p**3 - 570*p**2 = 0. Calculate p.
1, 2, 3, 4
Let d be ((13 - 18) + 133/26)/(6/16). Let d - 2/13*w**2 - 2/13*w = 0. Calculate w.
-2, 1
Let n be ((-80)/(-50))/(4/10). Let j be ((-1)/(-3))/((-1)/(-9)). Solve -2*l - l**n - l**j - 2*l**3 + l**5 + 5*l**2 + 0*l**4 + 0*l**3 = 0 for l.
-2, 0, 1
Let p(u) be the first derivative of -u**3/3 + 4*u - 148. Determine y, given that p(y) = 0.
-2, 2
Factor 12/7*v**4 + 72/7*v - 4*v**2 + 4/7*v**5 - 32/7 - 4*v**3.
4*(v - 1)**3*(v + 2)*(v + 4)/7
Let v(g) be the second derivative of -8/3*g**3 + 0 - 54/7*g**7 - 157/5*g**5 + 0*g**2 + g - 44/3*g**4 - 132/5*g**6. Find y such that v(y) = 0.
-1, -2/9, 0
Let o be (-2)/(-6)*(-6 - (-3 + -342)). Let a = -113 + o. Factor 0*k**3 + a*k + 2/3*k**4 + 0*k**2 - 2/9*k**5 + 0.
-2*k**4*(k - 3)/9
Let g(r) = -3*r**2 + 78*r - 71. Let c(y) = 7*y**2 - 155*y + 139. Let d(z) = -4*c(z) - 9*g(z). What is o in d(o) = 0?
-83, 1
Let q(u) = -3*u**3 + 7*u**2 - 27*u + 29. Suppose -5*i = 11 + 19. Let z(b) = b**3 + b**2 - 1. Let y(g) = i*z(g) - 3*q(g). Find l such that y(l) = 0.
3
Let x(j) be the second derivative of -j**7/504 + j**6/72 + 7*j**4/3 - 28*j. Let y(z) be the third derivative of x(z). Factor y(k).
-5*k*(k - 2)
Let d(o) be the third derivative of 15*o**2 + 1/360*o**6 + 1/90*o**5 + 0 + 0*o**4 + 0*o + 0*o**3. Factor d(q).
q**2*(q + 2)/3
Let r(h) = -39*h**2 - 39*h - 27. Let x(s) = 3*s**2 + 3*s + 2. Let y(g) = -g - 13. Let j be y(-11). Let l(o) = j*r(o) - 27*x(o). Find i, given that l(i) = 0.
-1, 0
Let g(k) = k**2 + 3*k - 1. Let p be g(-4). Suppose -p*c - 2*c - 7 = 2*j, 5*j + c - 17 = 0. Solve -4*i**3 - 2*i**4 + 4*i**4 - 4*i**j = 0 for i.
-2, 0
Let 115*q - 24 - 453*q**2 + 108*q**4 - 27*q**4 + 0*q**4 + 198*q**3 + 83*q = 0. What is q?
-4, 2/9, 1/3, 1
Let h(l) be 