s**6/210 - s**5/140 + 5*s**4/42 + 2*s**3/21 - 12*s**2/7 - 298*s. Let f(v) = 0. What is v?
-3, -2, 2
Factor -264/5*o + 18/5 + 968/5*o**2.
2*(22*o - 3)**2/5
Let m(w) = -w**3 - 2*w**2 + w + 138. Let y be m(0). Let t = -138 + y. Let t + 2/11*a**3 + 4/11*a + 6/11*a**2 = 0. Calculate a.
-2, -1, 0
Let x(z) = -13*z + 1287. Let j be x(99). Factor -2/9*v**3 + 2/9*v**4 - 2/9*v**2 + 2/9*v + j.
2*v*(v - 1)**2*(v + 1)/9
Factor 0*s + 0 - 12*s**2 + 2/5*s**3.
2*s**2*(s - 30)/5
Let a(d) = 58*d**3 - 63*d**2 + 3*d - 2. Let y(s) = -289*s**3 + 315*s**2 - 15*s + 11. Let z(p) = -11*a(p) - 2*y(p). What is m in z(m) = 0?
0, 1/20, 1
Let j(g) be the first derivative of 3*g**4/16 - 3*g**3/2 - 3*g**2/8 + 9*g/2 - 45. Factor j(u).
3*(u - 6)*(u - 1)*(u + 1)/4
Let j be (-6)/(-4)*14/3. Factor -n**2 - j*n**2 - 14*n - n + 3*n**2.
-5*n*(n + 3)
Let r(c) be the third derivative of -13*c**7/210 - 9*c**6/20 + 31*c**5/60 + 10*c**4 + 6*c**3 - 164*c**2 - 2. Factor r(w).
-(w - 2)*(w + 3)**2*(13*w + 2)
Let h(t) be the second derivative of 29*t - 1/4*t**4 - 54*t**2 + 6*t**3 + 2. Factor h(z).
-3*(z - 6)**2
Let h be (-6)/16 - (-1890)/432. Let v(n) be the third derivative of 0*n - n**2 + 1/30*n**5 + 0 - 1/12*n**h + 0*n**3. What is i in v(i) = 0?
0, 1
Let g(k) be the second derivative of k**7/189 - 11*k**6/135 + 2*k**5/5 - 8*k**4/27 - 64*k**3/27 + 6*k. Factor g(q).
2*q*(q - 4)**3*(q + 1)/9
Let y(l) be the first derivative of -l**6/6 + 9*l**4/4 - 4*l**3/3 - 6*l**2 + 310. Factor y(i).
-i*(i - 2)**2*(i + 1)*(i + 3)
Let n(v) be the first derivative of 9*v**4/4 - 41*v**3/2 - 24*v**2 + 45*v/2 - 27. Let n(o) = 0. What is o?
-1, 1/3, 15/2
Find n such that -24/11*n**4 + 0 + 24/11*n**2 - 2/11*n**5 - 90/11*n + 92/11*n**3 = 0.
-15, -1, 0, 1, 3
Let b(t) = t**2 + 8*t + 47. Let w(x) = 24*x**2 + 177*x + 1035. Let z(v) = -45*b(v) + 2*w(v). Determine o so that z(o) = 0.
-3, 5
Let z(l) be the second derivative of -1/140*l**5 + 19*l - 1/42*l**4 + 0*l**3 + 1/210*l**6 + 0*l**2 + 0. Factor z(t).
t**2*(t - 2)*(t + 1)/7
Let m(d) be the third derivative of 1/2*d**4 + 0*d**3 + 45*d**2 + 0 - 1/40*d**6 + 0*d + 0*d**5. Factor m(h).
-3*h*(h - 2)*(h + 2)
Let m = 15 - 11. Suppose -2*p - 4*l - 4 = -m*p, -l = -4*p + 8. Factor 7*w**4 - 17*w**4 - 2*w**p - w**5 + 5*w**4 - 8*w**3 - 2*w**2.
-w**2*(w + 1)*(w + 2)**2
Let k = 767/1955 - -3/391. Solve 2/5*q**4 + 0 - 2/5*q**2 - 2/5*q + k*q**3 = 0.
-1, 0, 1
Let z(j) = 21*j + 801. Let v be z(-38). Suppose 4/9*u**2 + 4/9*u**v - 2/9 - 2/9*u**5 - 2/9*u**4 - 2/9*u = 0. Calculate u.
-1, 1
Determine s, given that -3/7*s**4 + 0*s + 15/7*s**2 + 0 + 12/7*s**3 = 0.
-1, 0, 5
Let n(a) be the second derivative of -a**4/6 + 184*a**3/3 - 8464*a**2 - 2*a - 168. Factor n(q).
-2*(q - 92)**2
Factor -3/7*y**2 + 492/7*y - 20172/7.
-3*(y - 82)**2/7
Let s = 41147/1016 - -1/1016. Factor -27*k**2 - 54*k - 6*k**3 - s - 1/2*k**4.
-(k + 3)**4/2
Let s(b) be the second derivative of b**4/3 - 40*b**3/3 - 42*b**2 + 187*b - 1. Solve s(g) = 0.
-1, 21
Suppose -4/11*v**2 - 30/11*v + 0 + 2/11*v**3 = 0. Calculate v.
-3, 0, 5
Let q(w) be the third derivative of 10*w**2 + 0 + 0*w**3 + 0*w**5 + 1/24*w**4 + 0*w - 1/120*w**6. Factor q(d).
-d*(d - 1)*(d + 1)
Let z(k) be the third derivative of 0*k + 41*k**2 + 0 - 1/60*k**6 - 7/12*k**4 - k**3 - 1/6*k**5. Determine y, given that z(y) = 0.
-3, -1
Let d(g) = g**4 - g**3 + g**2 - g - 1. Let j(m) = 9*m**3 - 24*m**2 - 21*m + 39. Let k(v) = -3*d(v) - j(v). Suppose k(q) = 0. Calculate q.
-3, -2, 1, 2
Suppose 7*l + 290 - 311 = 0. Let b(t) be the first derivative of -2/9*t + 2/27*t**l + 3 + 0*t**2. Factor b(n).
2*(n - 1)*(n + 1)/9
Let a be (-76)/(-140) + -14 + (-194)/(-14). Factor 3/5*u**2 + 0 - 2/5*u**3 - 3/5*u**4 + a*u.
-u*(u - 1)*(u + 1)*(3*u + 2)/5
Let d(n) be the second derivative of -2*n**4/9 - n**3/9 + n**2 + 216*n. Let d(f) = 0. What is f?
-1, 3/4
Let k be 1*(3 - -2)*(3 + -2). Find h such that -7*h**3 + 3*h**4 + h**2 + h**5 + 5*h**3 + k*h**3 = 0.
-1, 0
Let y(a) be the third derivative of 1/108*a**6 - 1/90*a**5 - 1/945*a**7 + 8*a**2 + 0*a + 0 - 1/12*a**4 + 0*a**3. Let y(d) = 0. What is d?
-1, 0, 3
Let u(j) = 3*j**2 + j - 1. Let c be u(1). Let w be (3/5)/((-126)/(-420)). Factor 0*y + 1/2*y**w + 1/2*y**4 + 0 + y**c.
y**2*(y + 1)**2/2
Let m(q) = -q**2 - 52*q + 138. Let s(v) = -10*v**2 - 415*v + 1100. Let b(o) = 25*m(o) - 3*s(o). Factor b(d).
5*(d - 6)*(d - 5)
Let a(y) = -y**2. Let s(c) = 12*c**2 - 4*c - 4*c**2 - 5*c**2 + 9*c**2. Let d(r) = -22*a(r) - 2*s(r). Factor d(b).
-2*b*(b - 4)
Let w be 10*(-39)/(-325)*(-20)/(-18). Factor -1/6*n**4 - 4*n**2 - 16/3*n - w*n**3 - 8/3.
-(n + 2)**4/6
Let l = -28 - -30. Suppose a**l + 18*a - 4*a + 80 - 31 = 0. What is a?
-7
Factor 1/5*p + 3/5*p**3 + 3/5*p**2 + 0 + 1/5*p**4.
p*(p + 1)**3/5
Let t be 10/4 + 35/(105/(-6)). Determine h, given that 0 + 1/4*h**2 - t*h + 1/4*h**3 = 0.
-2, 0, 1
Let x(r) = 6*r**3 + 234*r**2 - 149*r + 23. Let l(k) = -k**3 + 2*k**2 + 2*k - 1. Let i(w) = -6*l(w) + 2*x(w). Determine u so that i(u) = 0.
-26, 1/3
Let w(l) be the first derivative of l**6/2 + 6*l**5/5 - 6*l**4 - 123. Solve w(a) = 0 for a.
-4, 0, 2
Let m(g) = g**3 - 1. Let k(s) = -s**3 - 4*s**2 + s. Let n(q) = -k(q) + 2*m(q). Factor n(y).
(y + 1)**2*(3*y - 2)
Let c(a) = 4*a**5 + 15*a**4 + 8*a**3 + 3*a**2. Let k(j) = -4*j**5 - 14*j**4 - 8*j**3 - 2*j**2. Let l(d) = -2*c(d) - 3*k(d). Factor l(u).
4*u**3*(u + 1)*(u + 2)
Let j(w) be the first derivative of 2*w**3/15 + 12*w**2/5 + 72*w/5 - 312. Factor j(r).
2*(r + 6)**2/5
Let x(u) = 41*u**3 - 321*u**2 + 809*u - 185. Let q(t) = -21*t**3 + 161*t**2 - 404*t + 90. Let v(r) = 11*q(r) + 6*x(r). Find i such that v(i) = 0.
1/3, 4, 6
Let z(s) = s**3 + 6*s**2 - 10*s + 3. Let c be z(-7). Let r = c - 21. Let 3/2*p + 0*p**2 - 1 - 1/2*p**r = 0. Calculate p.
-2, 1
Suppose 34*y + 8 - 24 - 4*y**5 - 28*y**3 - 2*y + 15*y**4 + 13*y**4 - 8*y**4 - 4*y**2 = 0. What is y?
-1, 1, 2
Let i(l) be the first derivative of l**6/3 - 2*l**5/5 - 3*l**4 + 28*l**3/3 - 11*l**2 + 6*l - 64. Factor i(f).
2*(f - 1)**4*(f + 3)
Let v = -2022 - -2025. Let w(p) be the first derivative of 1/16*p**4 + 1/12*p**v - 1/4*p**2 - 7 + 0*p. Find z, given that w(z) = 0.
-2, 0, 1
Factor -52/9 + 2/3*i**2 + 74/9*i.
2*(i + 13)*(3*i - 2)/9
Let h be 6/4*26/9. Let z be 1*11/2 + (-126)/84. Solve -2/3 + 1/3*j**3 + h*j**2 - 11/3*j**z + 4/3*j**5 - 5/3*j = 0.
-1, -1/4, 1, 2
Let q(g) = -g - 3. Let h be q(-7). Suppose -4*r + 0*r = h*k - 8, -2*k + 1 = r. Factor 4*d**2 - r*d**3 - 3*d**3 - 2*d**4 + 7*d**3 - 3*d**3.
-2*d**2*(d - 1)*(d + 2)
Let v(u) be the third derivative of -u**7/140 + 29*u**6/80 + 99*u**5/20 + 103*u**4/4 + 70*u**3 - 32*u**2. Factor v(k).
-3*(k - 35)*(k + 2)**3/2
Let q(x) be the first derivative of -x**3/3 + 29*x**2/2 - 28*x + 21. Factor q(t).
-(t - 28)*(t - 1)
Find g such that 14/13*g**2 - 8/13 - 6/13*g**4 + 2/13*g**3 + 0*g - 2/13*g**5 = 0.
-2, -1, 1
Let d be (-1464)/854 + 256/84. Let 1/3*f**2 - f - d = 0. What is f?
-1, 4
Suppose 15*h = 10*h - 45. Let b be 7/(-14) - h/2. Factor -11*d**3 - 459*d**b + 0*d**3 + 0*d**2 + 444*d**4 - 2*d**2.
-d**2*(3*d + 1)*(5*d + 2)
Let o(r) = 2*r + 12. Let d be o(-5). Suppose 0 = -2*u + 2*w + 2, -3*w + d*w = 1. Solve 0 - 2/9*j**3 + u*j**2 + 0*j = 0 for j.
0
Let i = 95/6 - 7/3. Find g such that 45/2*g**4 + i*g**5 + 0 - 3*g - 33/2*g**2 - 33/2*g**3 = 0.
-2, -1/3, 0, 1
Let l(d) be the first derivative of 4*d**5/25 - 19*d**4/5 + 28*d**3/3 - 34*d**2/5 + 5. Factor l(g).
4*g*(g - 17)*(g - 1)**2/5
Let q be (-78)/208 + (0 - (-2139)/72). Determine k, given that -875/6*k**5 - 8/3*k - 120*k**3 + 650/3*k**4 + 0 + q*k**2 = 0.
0, 2/7, 2/5
Suppose 0 = -3*i - 5*m - 22, -5*i - 3*m + 13 = 39. Let p be (4/(-8))/(3/i). Factor -4/3*w + 0 - p*w**2.
-2*w*(w + 2)/3
Factor -18/5*m**2 - 14/15*m**4 - 46/15*m**3 - 26/15*m - 4/15.
-2*(m + 1)**3*(7*m + 2)/15
Let -3*p**3 + 0*p - 3*p + 4*p - p**4 + 3*p = 0. Calculate p.
-2, 0, 1
Let b(d) = -d**3 + d**2 + 23*d + 21. Let c be b(-1). Determine j so that c + 3*j + 3/5*j**2 = 0.
-5, 0
Let n = 4642/5 - 928. Let q(s) be the first derivative of 0*s + 0*s**2 + 0*s**4 + 1 + n*s**5 + 0*s**3. Find d such that q(d) = 0.
0
What is a in 24 + 23*a**2 + 15*a**3 - 592*a - 9*a**4 + 532*a + 7*a**2 = 0?
-2, 2/3, 1, 2
Let v be (-11)/(-66) + (-616)/6. Let a = -102 - v. Factor -a*k - 1/4*k**2 + 0.
-k*(k + 2)/4
Let y(k) be the second derivative of -5*k**4/12