s n?
-1, 0, 1
Let v(o) = o**3 + 2*o**2 - 4*o + 2. Let f be v(2). Let u(l) be the first derivative of 21/4*l**4 + 6*l**2 + 0*l - 27/5*l**5 + 20*l**3 - f. Factor u(d).
-3*d*(d - 2)*(d + 1)*(9*d + 2)
Let c(n) = -8*n**2 - 66*n - 13. Let w be c(-8). Find t such that 0 + 1/4*t**4 + 1/2*t**w + 1/4*t**2 + 0*t = 0.
-1, 0
Let f(y) be the third derivative of -3*y**2 + 0 + 0*y**3 - 1/570*y**5 + 0*y + 0*y**4. Factor f(a).
-2*a**2/19
Let b(x) be the second derivative of x**5/120 - 5*x**4/72 + x**3/6 + 22*x + 1. Suppose b(c) = 0. Calculate c.
0, 2, 3
Let f(l) = -l**3 - 3*l**2 - 2*l + 2. Let p be f(-2). Let b(x) = -x + 6. Let h be b(3). Let -u - 11*u**4 + 3*u**3 + h*u**p + 6*u**5 - 114 + 114 = 0. Calculate u.
-1/2, 0, 1/3, 1
Let l(r) be the second derivative of r**4/6 - 73*r**3/3 + 72*r**2 + 256*r. Find i, given that l(i) = 0.
1, 72
Let a(q) be the third derivative of -q**6/1260 + q**5/105 - 11*q**4/252 + 2*q**3/21 - q**2 + 12*q. Solve a(i) = 0 for i.
1, 2, 3
Let w = -110 - -115. Solve u**w - 5*u**4 - 10*u**4 + 17*u**4 = 0 for u.
-2, 0
Let w(g) = -g + 6. Let z be w(4). Factor -2*f**3 - 2*f + f + 3*f**2 - 9*f**z - 3*f.
-2*f*(f + 1)*(f + 2)
Let q(h) = -h**3 + 7*h**2 + 9*h - 8. Let o = 248 - 240. Let c be q(o). Suppose 0 - 6/5*d**3 - 4/5*d**5 - 9/5*d**4 - 1/5*d**2 + c*d = 0. What is d?
-1, -1/4, 0
Let -289/2*w**4 + 0 + 2*w - 36*w**2 + 357/2*w**3 = 0. Calculate w.
0, 2/17, 1
Suppose -3*o - 135 = 4*g, -2*o + 3*g - 90 = 2*g. Let s = o + 45. Factor -1/4*q + s - 1/4*q**2.
-q*(q + 1)/4
Let s(p) be the first derivative of -p**6/12 + p**5/10 + 5*p**4/8 + p**3/2 - 16. Solve s(y) = 0 for y.
-1, 0, 3
Let q(n) = -52*n**2 - 4*n - 17. Let l be q(-4). Let f = -10823/13 - l. Factor 10/13*i**2 + f*i**3 + 4/13*i + 0.
2*i*(i + 1)*(3*i + 2)/13
Find c, given that -26/9*c**3 + 0 + 20/9*c**2 + 16/3*c + 2/9*c**4 = 0.
-1, 0, 2, 12
Let w(i) be the first derivative of 7*i**4/2 + 16*i**3/3 + i**2 - 102. Factor w(z).
2*z*(z + 1)*(7*z + 1)
Let 0*z**3 + 4*z**3 - 3*z**2 - 22 - 36 - 2 - 48*z - z**3 = 0. What is z?
-2, 5
Factor -1/3*n**2 + 2*n - 5/3.
-(n - 5)*(n - 1)/3
Let y(p) be the second derivative of -7/50*p**5 + p**4 + 6/5*p**2 - 11*p + 0 - 29/15*p**3. Factor y(b).
-2*(b - 3)*(b - 1)*(7*b - 2)/5
Let t be (14/6)/((-1729)/(-1482)). Factor 2/19*q - 2/19*q**3 - 2/19 + 2/19*q**t.
-2*(q - 1)**2*(q + 1)/19
Suppose -3*c - l = -4 + 6, 3*c = 2*l + 13. Factor -3*f**2 + 32*f + 0*f**2 - 13 - c - 9*f.
-(f - 7)*(3*f - 2)
Solve -32 + 208*n + 470*n**3 - 440*n**2 - 82*n**4 + 28*n**5 + 0*n**5 - 58*n**3 - 94*n**4 = 0 for n.
2/7, 1, 2
Let n(c) = -2*c**2 - 2*c + 3. Let j be n(2). Let k be 1 + (-3)/(j/(-2)). Let -1/3*y**3 - 1/3*y**2 + k*y + 1/3*y**4 + 0 = 0. What is y?
-1, 0, 1
Determine q, given that -6*q**2 - q**2 - 9*q**2 + 6*q**2 + 6*q**3 - 16 - 52*q = 0.
-2, -1/3, 4
Let s be 0 + 5 + -60 + 6/2. Let m = s - -55. Find i such that 2/5*i**m + 0 + 4/5*i**2 + 0*i = 0.
-2, 0
Suppose 0 = -g - 14 + 93. Suppose -2*b = g - 221. Suppose b*j + 7*j**2 + 10 - 86*j - 32*j**2 = 0. Calculate j.
-1, 2/5
Let y(c) be the second derivative of -c**6/50 + 87*c**5/100 - 56*c**4/5 + 98*c**3/5 - 8*c + 3. Factor y(j).
-3*j*(j - 14)**2*(j - 1)/5
Let m(l) be the second derivative of -l**5/4 + 10*l**4/3 - 85*l**3/6 + 25*l**2 + 2*l + 96. Determine f, given that m(f) = 0.
1, 2, 5
Let u(b) be the third derivative of b**7/1050 + b**6/300 - b**5/300 - b**4/60 + 4*b**2 - 4*b. Factor u(n).
n*(n - 1)*(n + 1)*(n + 2)/5
Let l = 5096 - 25479/5. Factor -l*r**3 - 4/5*r + r**2 + 0.
-r*(r - 4)*(r - 1)/5
Let f be (-7)/((-126)/4) + (-793)/(-117). Let n(d) be the first derivative of f + 0*d - 2*d**2 + 1/2*d**4 + 2/3*d**3. Factor n(o).
2*o*(o - 1)*(o + 2)
Let y(t) be the first derivative of t**5 + t**4 - t**3 - t**2 + 10. Let p(j) = -11*j**4 - 9*j**3 + 6*j**2 + 4*j. Let u(w) = 4*p(w) + 9*y(w). Factor u(m).
m*(m - 2)*(m + 1)**2
Suppose 0 = 8*a + a - 18. Factor -6*k**3 + 5*k**3 - 3*k**4 - a*k**2 + 3*k**4 + k**4.
k**2*(k - 2)*(k + 1)
Let f = -1 + 1. Let d = 469/790 + 1/158. Suppose 0*j + d*j**3 - 3/5*j**4 + 0 + f*j**2 = 0. Calculate j.
0, 1
Determine f, given that -4824 - 14206 + 508 + 2646*f + 2*f**3 - 126*f**2 = 0.
21
Solve -10*i + 4*i - 452*i**2 + 455*i**2 - 3*i - 12 = 0.
-1, 4
Suppose 0*c + 3*c + 410 = -5*a, 4*c = -5*a - 405. Let j = a - -142. Solve -12*b**4 - 33*b - 58*b**3 + 19*b**3 - j*b**2 + 3*b**4 - 6 = 0.
-2, -1, -1/3
Let d(f) be the first derivative of -2*f**3/3 + 20*f**2/9 - 8*f/9 + 50. Factor d(c).
-2*(c - 2)*(9*c - 2)/9
Let x be 5/(20/12) - -1. Suppose 5*a = h - x*h - 2, -h - 2 = a. Suppose -3/8*w**3 + 0*w + 0 + 1/2*w**5 + 0*w**4 + 1/8*w**a = 0. What is w?
-1, 0, 1/2
Let l(i) be the second derivative of i**6/225 + 13*i**5/50 + 6*i**4/5 - 4*i**3/45 - 48*i**2/5 - 147*i. Find y such that l(y) = 0.
-36, -2, 1
Let l = 128899/6 + -21483. Solve -1/6*z**5 + l*z**2 + 1/6*z**3 - 1/6*z**4 + 0*z + 0 = 0 for z.
-1, 0, 1
Let f(j) = 2*j**2 - 5*j - 9. Let v be f(4). Factor -6*r + 2 + 0*r**v - 8*r**3 - 2*r**3 - 27*r**2 + 9*r**2.
-2*(r + 1)**2*(5*r - 1)
Suppose 4*z = -3*i + 29, -z + 5*i - 25 = -3*z. Suppose 8*r**2 + 8 - 5*r + r**2 - 7*r - z*r**2 = 0. Calculate r.
1, 2
Let u(a) be the third derivative of a**5/135 + 11*a**4/9 - 302*a**2. Factor u(c).
4*c*(c + 66)/9
Factor 216*x**3 - 217*x**3 + 2*x**2 - 8*x + 0*x**2 + 4*x**2.
-x*(x - 4)*(x - 2)
Let f be (-37)/((-3108)/189) + 14/8 + -2. Factor 1/3*b**f + b - 4/3.
(b - 1)*(b + 4)/3
Let h be 9/(-11)*(-1188)/324. Factor -26/15*w + 2/3*w**2 + 14/15 + 2/15*w**h.
2*(w - 1)**2*(w + 7)/15
Let o = -90 - -106. Let x be (-64)/o*(3/(-10))/3. Factor 0*q**2 + 4/5*q**3 - x*q**4 + 2/5 - 4/5*q.
-2*(q - 1)**3*(q + 1)/5
Factor -44*n**2 - 4*n**4 - 22*n**3 - 721*n - 30*n**3 + 48 + 773*n.
-4*(n - 1)*(n + 1)**2*(n + 12)
Let x(i) be the second derivative of i**7/504 - 13*i**6/1080 - i**5/60 - 9*i**3/2 + 21*i. Let h(z) be the second derivative of x(z). Let h(g) = 0. Calculate g.
-2/5, 0, 3
Let y(k) be the first derivative of 5*k**6/12 + 3*k**5 + 55*k**4/8 + 5*k**3/3 - 15*k**2 - 20*k - 61. Factor y(f).
5*(f - 1)*(f + 1)*(f + 2)**3/2
Let f(p) be the second derivative of p**8/336 - p**6/60 + p**4/24 + 9*p**2/2 + 7*p. Let b(u) be the first derivative of f(u). Suppose b(t) = 0. What is t?
-1, 0, 1
Factor 45 - 94 - m**2 + m**3 - 10*m + 41.
(m - 4)*(m + 1)*(m + 2)
Let 2*r + 28/15 + 2/15*r**2 = 0. What is r?
-14, -1
Let g(c) be the first derivative of -c**4 + 0*c - 2/5*c**5 - 12 + 0*c**3 + 1/3*c**6 + 0*c**2. Find t such that g(t) = 0.
-1, 0, 2
Let b(c) be the first derivative of -4*c**3/3 - 62*c**2 + 128*c - 68. Determine f so that b(f) = 0.
-32, 1
Let t(h) = -4*h**3 + 24*h**2 - 44*h + 20. Let a(u) = -2*u**3 + 38*u**2 + 40 + 11*u**2 - 6*u**3 - 88*u. Let m(s) = -4*a(s) + 7*t(s). Solve m(c) = 0.
1, 5
Suppose -16 = -2*u - 2*u. Suppose -5*k = -3*s - 32, -4*k + 39 - 15 = -2*s. Factor -a - k*a**2 + u*a - 4 + 5*a.
-4*(a - 1)**2
Factor 0 + 0*d - 4/7*d**3 + 1/7*d**5 + 0*d**4 + 0*d**2.
d**3*(d - 2)*(d + 2)/7
Let b(n) be the first derivative of -n**7/1960 - n**6/420 + 3*n**5/280 + 3*n**3 + 11. Let a(k) be the third derivative of b(k). Find g such that a(g) = 0.
-3, 0, 1
Solve -15/2*t**2 + 5*t - 5/2*t**3 + 0 - 5/2*t**5 + 15/2*t**4 = 0.
-1, 0, 1, 2
Let z(k) be the second derivative of -k**8/4032 + 5*k**7/1512 + 11*k**4/12 + 48*k. Let y(f) be the third derivative of z(f). Solve y(i) = 0 for i.
0, 5
Let 142/3*n**3 - 8/9 + 238/9*n**2 + 10*n**4 - 106/9*n = 0. What is n?
-4, -1, -1/15, 1/3
Factor 60/17*n - 14/17*n**2 - 16/17.
-2*(n - 4)*(7*n - 2)/17
Factor 0*p**4 - 2*p**3 - 19*p**2 - 4*p**4 - 26*p**3 - 5*p**2.
-4*p**2*(p + 1)*(p + 6)
Factor -12/5 + 16/5*b - 3/5*b**3 + b**2.
-(b - 3)*(b + 2)*(3*b - 2)/5
Let d(g) = -g**3 - 8*g**2 + 9*g + 2. Let u be d(-9). Let a = 10 - 5. Suppose c**u + 5 - 2*c**2 - a + c = 0. What is c?
0, 1
Let 0 - 1/2*l**2 - 2*l = 0. What is l?
-4, 0
Let m(z) be the second derivative of z**6/15 - 17*z**5/10 + 289*z**4/24 + 12*z - 2. Factor m(t).
t**2*(2*t - 17)**2/2
Factor 103*c - 74*c + 146*c**2 - 130*c + 2*c**4 + 150*c**3 - 49*c - 148.
2*(c - 1)*(c + 1)**2*(c + 74)
Let r be (-40)/(-175)*(20 + 650/(-40)). Let 2/7*b**4 - r*b**3 + 2/7*b**2 - 4/7 + 6/7*b = 0. What is b?
-1, 1, 2
Suppose 0 - 2/7*x**5 - 32/7*x - 16/7*x**4 + 44/7*x**2 + 6/7*x**3 = 0. What is x?
-8, -2, 0, 1
Let q(j) be the first derivative of -39/2*j**2 + 23 + 18*j + 8*j**3 - 3/4*j**