t - 1)/15
Let x(p) = -236*p - 3976. Let i be x(-17). Let 63/2*n**4 + 147/2*n**5 + i*n - 219/2*n**3 - 51/2*n**2 - 6 = 0. What is n?
-1, 2/7, 1
Suppose 6 = k - 2*h + 8, 3*k - 3*h - 3 = 0. Let b(m) be the second derivative of -1/30*m**3 + 0 + 0*m**2 + 1/25*m**5 + 1/20*m**k - 4*m. Factor b(s).
s*(s + 1)*(4*s - 1)/5
Suppose -42/5 - 3/5*j**3 + 3/5*j + 42/5*j**2 = 0. What is j?
-1, 1, 14
Let a = -39 - -54. Factor 3*g**2 - a*g**3 + g + 12*g**3 - g.
-3*g**2*(g - 1)
Let j(b) be the second derivative of b**5/20 + 3*b**4/4 - 5*b**3/3 - 2*b + 76. Suppose j(k) = 0. What is k?
-10, 0, 1
Determine g, given that -362/3*g - 208/3*g**2 + 22/3*g**3 - 44 = 0.
-1, -6/11, 11
Let d(o) be the third derivative of -o**8/84 + 24*o**7/35 - 107*o**6/10 - 22*o**5/3 + 174*o**4 - 432*o**3 + 431*o**2. Let d(b) = 0. Calculate b.
-2, 1, 18
Suppose -d + 5 = 2*x, -2*d = -2*x - 0*x + 8. Let s(z) be the first derivative of -10*z**3 - 27/2*z**2 - 6*z + 5/2*z**6 + 3 + 36/5*z**5 + x*z**4. Factor s(i).
3*(i - 1)*(i + 1)**3*(5*i + 2)
Factor -48*j + 29*j**2 + 6*j**2 - 50 - 88*j - 29*j.
5*(j - 5)*(7*j + 2)
Let a(o) be the first derivative of 16*o**5/45 - 17*o**4/9 + 16*o**3/27 - 557. Factor a(v).
4*v**2*(v - 4)*(4*v - 1)/9
Let v(u) = -3*u**2 - 31*u - 6. Let q be v(-10). Suppose -2*i - q*i = -5*i. Determine w, given that 0 - 2/3*w**5 - 2/3*w**3 + 0*w - 4/3*w**4 + i*w**2 = 0.
-1, 0
Let g(x) be the first derivative of x**4 - 24*x**3 - 38*x**2 - 296. Factor g(s).
4*s*(s - 19)*(s + 1)
Let d(i) be the first derivative of 5 + 0*i - 1/4*i**3 + 3/32*i**4 + 3/16*i**2. Find u such that d(u) = 0.
0, 1
Let u be ((-18)/15)/(2/(-10)). Let j be (u/10)/((-7)/(-35)). Factor 26*c**4 + 2*c + 2 - 6*c**5 + 36*c**2 - 9*c - 41*c**j - 7*c - 3*c**3.
-2*(c - 1)**4*(3*c - 1)
Let -56/9 - 1/9*l**3 - 50/9*l - 13/9*l**2 = 0. Calculate l.
-7, -4, -2
Determine k so that 54/7*k - 264/7*k**3 - 132/7*k**4 - 60/7*k**2 + 0 + 18/7*k**5 = 0.
-1, 0, 1/3, 9
Let b(l) be the second derivative of -l**6/1440 + l**5/48 - 25*l**4/96 + l**3/2 + 9*l. Let z(a) be the second derivative of b(a). Solve z(h) = 0 for h.
5
Suppose 29*j - 69 = 6*j. Suppose 2*m + 4 = -2*m + 4*s, 4*m + j*s = 17. Factor 0*t**m + 1/3 + 1/6*t**3 - 1/2*t.
(t - 1)**2*(t + 2)/6
Let f(m) be the first derivative of -m**6/960 + m**5/480 + m**4/96 - 13*m**2/2 + 11. Let r(x) be the second derivative of f(x). Solve r(w) = 0 for w.
-1, 0, 2
Factor 8*u**4 + 20*u**2 + 4 - 6*u**4 - 24*u**4 - 2*u**3 - 4.
-2*u**2*(u + 1)*(11*u - 10)
Suppose p - 2*z = z + 10, 4*z = 3*p - 10. Let v = p + 4. Determine r so that 2/7*r**4 + 0*r - 2/7*r**5 + 0 - 2/7*r**v + 2/7*r**3 = 0.
-1, 0, 1
Let g(y) = -2*y - 6. Let w be g(-13). Let q be (2 - 34/w)*(-4)/(-6). Factor -q*x**4 + 1/5 - 2/5*x**3 + 0*x**2 + 2/5*x.
-(x - 1)*(x + 1)**3/5
Suppose 4*m - 30 = 3*k, 14 = 2*m - 2*k - 0. Suppose -m*i + 6*i + 30 = 0. Factor 2*r - 12 + r**2 + 0*r - 4*r**2 + i*r.
-3*(r - 2)**2
Let f(g) be the second derivative of -g**7/56 + 7*g**6/40 + 27*g**5/80 - 7*g**4/16 - g**3 - 77*g. Suppose f(i) = 0. What is i?
-1, 0, 1, 8
Find k, given that 65 + 62 + 0*k**2 + 64 - 5*k**2 + 15*k - 201 = 0.
1, 2
Let p(y) be the second derivative of y**7/273 + y**6/65 - 81*y**5/130 + 99*y**4/26 - 108*y**3/13 - 33*y + 4. Factor p(d).
2*d*(d - 3)**3*(d + 12)/13
Let a be -17 + 17 - (17 + (-1 - 1)). Let j be 4 - -5*3/a. Factor 0*f - 4/7*f**2 + 0*f**j + 2/7*f**4 + 2/7.
2*(f - 1)**2*(f + 1)**2/7
Let h(v) be the first derivative of v**5/5 + v**4 - 5*v**3/3 + 180. Factor h(n).
n**2*(n - 1)*(n + 5)
Let o(p) be the first derivative of -p**8/84 + 2*p**7/35 - 4*p**5/15 - 13*p**2/2 + 17. Let s(r) be the second derivative of o(r). Factor s(m).
-4*m**2*(m - 2)**2*(m + 1)
Let n(i) be the first derivative of -i**6/20 - i**5/40 - 8*i**2 + 8. Let a(o) be the second derivative of n(o). Factor a(s).
-3*s**2*(4*s + 1)/2
Let q(n) be the first derivative of -n**6/1440 - 7*n**5/240 - 13*n**4/96 - 2*n**3 + 4. Let p(h) be the third derivative of q(h). Suppose p(c) = 0. Calculate c.
-13, -1
Let m(v) = -v**4 - v**3 + v**2 + 1. Let r(t) = 4*t**4 + 2*t**3 - 6*t**2 + 3*t - 3. Let j = 72 - 77. Let k(l) = j*m(l) - r(l). Solve k(h) = 0.
-2, -1, 1
Let j(b) be the third derivative of b**5/90 - b**4/6 + 5*b**3/9 - b**2 - 3*b. What is t in j(t) = 0?
1, 5
Solve 194/7*t - 132/7 + 6/7*t**2 = 0.
-33, 2/3
Let n(p) = p**2 + p. Let f(v) = -6*v**2 - 42*v - 90. Let i(s) = f(s) + 3*n(s). Factor i(l).
-3*(l + 3)*(l + 10)
Suppose -3*w = -2*w + 2*o + 5, w = 5*o + 30. Suppose -2*u = 2*k, -3*k - 4*u = w - 3. Let -8*a - 6*a - 16 - k*a**3 - 12*a**2 - 12*a + 2*a = 0. What is a?
-2
Let v(j) be the third derivative of j**7/630 - j**6/36 + 2*j**5/15 + 5*j**4/36 - 25*j**3/18 - j**2 + 6. Determine o so that v(o) = 0.
-1, 1, 5
Let n(w) = -w + 3. Let h(z) = 1. Let m(v) = 5*h(v) + n(v). Let o be m(3). Solve -o*d + 65 - 4*d**2 - 65 - 11*d = 0 for d.
-4, 0
Suppose -954 = -125*y + 116*y. Let g = y + -104. Factor 0*h - 9/4*h**3 + 0 - 3*h**4 + 3/4*h**g.
-3*h**2*(h + 1)*(4*h - 1)/4
Let o(d) be the first derivative of -3/14*d**4 + 3/35*d**5 + 1/14*d**6 + 0*d**2 + 12 + 0*d**3 + 0*d. Find m, given that o(m) = 0.
-2, 0, 1
Let o be (-4)/(-84)*(-238)/(-17). Factor 4/3*y**3 + 0*y**2 - 4/3*y - o*y**4 + 2/3.
-2*(y - 1)**3*(y + 1)/3
Factor 63/5*j + 24/5*j**2 + 54/5 + 3/5*j**3.
3*(j + 2)*(j + 3)**2/5
Let r = 1 + -12. Let t(h) = -h**3 - 12*h**2 - 10*h + 13. Let v be t(r). Factor c**4 - c**2 + v*c**2 - 4*c**4 + 2*c**4.
-c**2*(c - 1)*(c + 1)
Let c(b) = 4*b**3 - 2*b**2 + 7*b - 2. Let w be c(3). Find a, given that w*a**4 - 55*a**4 - 6*a**3 + 3*a + 3*a**5 - 54*a**4 = 0.
-1, 0, 1
Let d(u) be the second derivative of u**4/12 + 95*u**3/6 - 310*u. Factor d(x).
x*(x + 95)
Let d(u) be the third derivative of -243*u**6/160 - 9*u**5/10 - u**4/6 - 46*u**2 + 4. Find a such that d(a) = 0.
-4/27, 0
Let b(a) be the second derivative of a**7/840 + a**6/40 + a**5/8 + a**4/3 - 17*a. Let p(u) be the third derivative of b(u). Factor p(n).
3*(n + 1)*(n + 5)
Let y = 659 - 657. Factor 0 + 1/2*r + 1/2*r**y.
r*(r + 1)/2
Let o(l) be the second derivative of 0*l**2 + 1/90*l**5 + 14*l - 1/54*l**4 + 0*l**3 + 0. Determine k, given that o(k) = 0.
0, 1
Let k(t) be the first derivative of -t**4/30 - 2*t**3/15 - 2*t**2/15 - 36. Factor k(s).
-2*s*(s + 1)*(s + 2)/15
Let w(z) be the second derivative of 2*z**7/105 + 26*z**6/75 + 46*z**5/25 - 2*z**4/3 - 70*z**3/3 + 50*z**2 - 88*z. Let w(f) = 0. Calculate f.
-5, 1
Let q(f) = -f**3 - 3*f**2 - 3*f - 12. Let z be q(-4). Suppose -4*a + z = 4*j, -3*a = 2*a - 4*j - 11. Solve -2/11 - 8/11*o**a - 10/11*o - 16/11*o**2 = 0 for o.
-1, -1/2
Let i(g) = -4*g + 65. Let v be i(15). Let l(f) be the third derivative of 0*f + 0*f**3 + 0 - 1/96*f**4 + 0*f**v + 1/480*f**6 - 3*f**2. Let l(s) = 0. What is s?
-1, 0, 1
Let u(t) = -6 - 27*t**2 - 2*t - 12*t**4 + t**3 + 5*t + 0 + 32*t**3. Let x(s) = -57 + 113 - 57. Let o(i) = -u(i) + 9*x(i). Factor o(z).
3*(z - 1)**3*(4*z + 1)
Suppose 691 = 4*s + 675. What is d in 0*d**3 + 0*d + 0 + 4/7*d**5 + 0*d**2 - 4/7*d**s = 0?
0, 1
Suppose -q - 14 = q + 4*v, -2*v - 10 = 0. What is n in -6*n**4 + q*n**4 + 0 + 5*n**2 + 3*n**3 - n**4 - 3*n - 1 = 0?
-1, -1/4, 1
Suppose -6 = -2*g, -5*g = -5*i - 0*g. Suppose i = 3*u + 3*q, 5*u - 4*q + 2*q - 12 = 0. Factor 5 - 2*c + 4*c**2 - 3*c**u - 5.
c*(c - 2)
Find a such that 5/3*a - 1/3*a**2 + 2 = 0.
-1, 6
Let q = -12 + 36. Suppose -q = -9*b + 5*b. Suppose 6*g**2 - 3*g**4 - 3*g**2 - b*g + 6*g**3 + 0*g**2 = 0. What is g?
-1, 0, 1, 2
Factor 26*t**3 - 47*t**3 + 25*t**3 + t**4 - 5*t**4.
-4*t**3*(t - 1)
Let d(r) = -7*r**3 - 57*r**2 - 6*r + 31. Let v(n) = -n**3 - 9*n**2 - n + 5. Let x(j) = -6*d(j) + 39*v(j). Suppose x(u) = 0. Calculate u.
-1, 1, 3
Factor 1/3*p**2 + 64/3 + 16/3*p.
(p + 8)**2/3
Let k be (4/7)/(3509/2233). Solve 2/11 + 0*f**2 + 4/11*f - k*f**3 - 2/11*f**4 = 0 for f.
-1, 1
Let g(w) = 2*w**2 - 6*w + 3. Let m be g(2). Let s be 5 + m + 0 + -2. Solve 133 + 8*i**s + 4*i**3 - 133 = 0.
-2, 0
Let q(d) = -d**2 + 15*d + 4. Let w be q(15). Suppose 0*s**w + 9*s**2 - 3*s + 15*s**3 - 3 + 0 + s**4 + 5*s**4 = 0. Calculate s.
-1, 1/2
Let i(w) = 2*w**2 - 10*w. Let m(g) = -11*g + 177 - 177 + 3*g**2. Let d(x) = 7*i(x) - 6*m(x). What is l in d(l) = 0?
-1, 0
Suppose t = -6*g + g + 15, -g + t - 3 = 0. Let v = 7/73 + 229/657. Let -v*p - 2/9*p**g - 2/9 = 0. Calculate p.
-1
Let l(j) be the f