/4 + l**3/3 + l**2 - 16*l. Suppose s(t) = 0. Calculate t.
-2, -2/3, 1
Suppose -3*f = -163 - 212. Let 125 - 2*a**3 - f = 0. What is a?
0
Let c(u) be the second derivative of u**9/7560 - u**8/3360 - u**7/1260 + u**6/360 - u**4/4 - u. Let p(d) be the third derivative of c(d). Factor p(m).
2*m*(m - 1)**2*(m + 1)
Let s(w) be the second derivative of w**5/2 + 7*w**4/6 - 8*w**3/3 - 4*w**2 - 6*w. Factor s(g).
2*(g - 1)*(g + 2)*(5*g + 2)
Suppose -207 = -2*i + c - 72, 5 = -5*c. Factor -21 - 14*n - 23*n**3 + 102 + 27*n**2 + 20*n**3 - i*n.
-3*(n - 3)**3
Let v(g) be the first derivative of g**7/2940 + g**6/1260 - g**5/420 - g**4/84 + g**3/3 + 3. Let z(h) be the third derivative of v(h). Factor z(f).
2*(f - 1)*(f + 1)**2/7
Let t(a) be the third derivative of a**5/390 - a**4/52 + 21*a**2. Solve t(l) = 0.
0, 3
Suppose 11 = -2*t + 17. Let g(n) be the third derivative of 0*n**t - 1/24*n**4 + 0 - 1/60*n**5 - 2*n**2 + 0*n. Let g(u) = 0. What is u?
-1, 0
Let -8/19*b + 2/19 + 6/19*b**2 = 0. What is b?
1/3, 1
Factor 3/2*v**3 + 8*v**2 + 26/3*v + 8/3.
(v + 4)*(3*v + 2)**2/6
Let m(z) be the first derivative of -z**6/8 - 9*z**5/10 - 21*z**4/8 - 4*z**3 - 27*z**2/8 - 3*z/2 - 11. Suppose m(q) = 0. Calculate q.
-2, -1
Let g(h) = 2*h**2 + 8*h + 6. Let o(w) = -w - 1. Let k(v) = -2*g(v) - 4*o(v). Suppose k(i) = 0. Calculate i.
-2, -1
Let y(q) = -q**3 - 4*q**2 - q - 3. Let n be y(-3). Let j = n + 11. Factor -2*i**2 + 4 + i**3 - i**j + 6*i**2 + 8*i + 2*i**2.
(i + 1)*(i + 2)**2
Suppose 89*u**3 - 19*u**2 - 3*u**3 + 2*u**5 - 197*u**2 - 34*u**4 + 94*u**3 - 432*u = 0. What is u?
-1, 0, 6
Let t(z) = 2*z + 6. Let p be t(-3). Solve 1/4 - 1/4*y**2 + p*y = 0.
-1, 1
Suppose -z - 4*z = 50. Let d be 5/(-10) + (-7)/z. Solve 4/5*t**4 - 1/5*t**5 - 6/5*t**3 + 4/5*t**2 + 0 - d*t = 0.
0, 1
Let d be (-10 + 688/64)/((-2)/(-8)). Factor -1/2*s**2 - 3/2*s**4 + 1/2*s**5 + 0*s + 0 + 3/2*s**d.
s**2*(s - 1)**3/2
Suppose -3*q = t - 20, -t - 3*q - 5 = -5*t. Let m = t - 2. Factor z**3 + 2*z - 4*z + z**m.
2*z*(z - 1)*(z + 1)
Let m = 259 - 259. Solve -2/7*z**3 + 2/7*z + 0*z**2 + m = 0.
-1, 0, 1
Let n(c) be the first derivative of -2*c**5/15 - 2*c**4/3 - 4*c**3/3 - 4*c**2/3 - 2*c/3 + 28. Factor n(h).
-2*(h + 1)**4/3
Suppose 3*v**4 + 335*v - 9*v**2 - 165*v - 176*v = 0. What is v?
-1, 0, 2
Suppose 10 = -4*c + 6*c. Determine j, given that -15*j**4 + 5*j**4 - 3*j + 10*j**2 - j + 4*j**c = 0.
-1, 0, 1/2, 1, 2
Let u = -482/7 - -69. Factor u*r**3 + 1/7*r**2 - 1/7*r - 1/7.
(r - 1)*(r + 1)**2/7
Find d such that -2/7*d**4 + 1/7*d**3 + 0*d + 2/7*d**2 + 0 - 1/7*d**5 = 0.
-2, -1, 0, 1
Let n(x) be the second derivative of -x**7/273 - x**6/195 + x**5/26 + 5*x**4/78 - 4*x**3/39 - 4*x**2/13 + 28*x. Suppose n(p) = 0. Calculate p.
-2, -1, 1, 2
Let n(d) = d**2 - 3*d - 1. Let l be n(4). Determine a, given that 4*a**3 + 3 - l*a**4 + 2*a**2 - 5*a + a - 2 = 0.
-1, 1/3, 1
Factor -3/4*x**3 + 3/4*x - 1/4*x**2 + 0 + 1/4*x**4.
x*(x - 3)*(x - 1)*(x + 1)/4
Let v(i) be the second derivative of -7*i - 9/11*i**2 + 0 - 2/11*i**3 - 1/66*i**4. Factor v(r).
-2*(r + 3)**2/11
Suppose 0*c - 12 = -4*c - 2*l, 0 = -5*c + 2*l + 24. Suppose 0 - c*b - 4*b + 4*b + 2 + 2*b**2 = 0. Calculate b.
1
Let i(g) be the first derivative of -g**8/5040 - g**7/2520 + g**6/1080 + g**5/360 + 8*g**3/3 - 5. Let x(n) be the third derivative of i(n). Factor x(k).
-k*(k - 1)*(k + 1)**2/3
Let k(s) = 2 - 6*s**2 + 7*s**2 - 10*s**2 - 6*s + 0. Let v(m) = 117*m**2 + 78*m - 27. Let o(n) = 27*k(n) + 2*v(n). Find d, given that o(d) = 0.
-2/3, 0
Let i(n) be the first derivative of n**8/168 - n**7/105 - n**6/20 + n**5/6 - n**4/6 - n**2 + 2. Let k(g) be the second derivative of i(g). Factor k(m).
2*m*(m - 1)**3*(m + 2)
Let o(m) be the second derivative of m**6/105 - 3*m**5/70 + m**4/21 - 2*m. Suppose o(b) = 0. What is b?
0, 1, 2
Suppose -16 - 20 = -4*d. Let b = -8 + d. What is c in -c**2 - b - 4*c**2 - 2*c + 4*c**2 = 0?
-1
Let 1/5*x**4 + 0 - 18/5*x - 3/5*x**2 + 4/5*x**3 = 0. Calculate x.
-3, 0, 2
Let k = 19119/5 - 3811. Let 4/5*q**2 + 32/5*q + k = 0. Calculate q.
-4
Factor -46*s**3 + 48*s**3 - s - s - 8*s**4 + 8*s**2.
-2*s*(s - 1)*(s + 1)*(4*s - 1)
Let b be (-8)/(-102)*6/4. Find u such that -4/17 - 2/17*u + b*u**2 = 0.
-1, 2
Let r(t) be the second derivative of 1/9*t**3 - 1/30*t**5 + 0*t**2 - 1/18*t**4 + 0 + 3*t + 1/45*t**6. Factor r(z).
2*z*(z - 1)**2*(z + 1)/3
Let u(k) = 3*k**4 + k**3 + k**2 - k - 2. Let y(o) = -16*o**4 - 4*o**3 - 4*o**2 + 6*o + 11. Let v(s) = -22*u(s) - 4*y(s). Factor v(g).
-2*g*(g + 1)**3
Suppose t = 4*a - 3*a + 2, -a + 4*t - 14 = 0. Factor 2*v**4 - 5*v**a - 2*v**2 + 3*v**2 + 2*v**2.
2*v**2*(v - 1)*(v + 1)
Let l(r) be the second derivative of r**6/6 - r**5 + 5*r**4/2 - 10*r**3/3 + 5*r**2/2 - r. Determine v so that l(v) = 0.
1
Suppose -4 + 1 = -4*v + l, 5*v = 5*l + 15. Let y(s) be the second derivative of 1/24*s**4 - 2*s + 1/12*s**3 + v*s**2 + 0. Factor y(f).
f*(f + 1)/2
Suppose 6*j = 1 + 11. Let p(b) be the first derivative of 4/5*b**5 + 7/4*b**4 - 3 + 0*b + 2/3*b**3 - 1/2*b**j. Determine t, given that p(t) = 0.
-1, 0, 1/4
Find p such that -9*p - 2 - 1 - 10*p**2 + 238*p**3 + p**2 - 241*p**3 = 0.
-1
Suppose -4*s + 5*q = 39, -2*s + 4*q = -4*s. Let i be ((-4)/36)/(1/s). Factor 0*t**2 + i*t**3 + 0 - 2/3*t.
2*t*(t - 1)*(t + 1)/3
Let q(d) = d**2 + 5*d - 4. Let y be q(-6). Factor 4*w - 16*w - 3 - w**3 + 12*w**3 - 6*w**y + 9*w**4 + w**3.
3*(w - 1)*(w + 1)**2*(3*w + 1)
Let s(n) be the third derivative of -n**7/210 - 7*n**6/240 - 3*n**5/40 + n**4/3 - 7*n**2. Let b(t) be the second derivative of s(t). Factor b(a).
-3*(a + 1)*(4*a + 3)
Let j(k) = 9*k**4 + 21*k**3 + 27*k**2. Let p(g) = -2*g**4 - 5*g**3 - 7*g**2. Let h(s) = -4*j(s) - 15*p(s). Factor h(w).
-3*w**2*(w + 1)*(2*w + 1)
Factor -5/3*u + 1/3*u**2 + 4/3.
(u - 4)*(u - 1)/3
Suppose b - 3*b + 10 = 0. Let j be 2 - b - -4 - 1. Factor 0*i**2 + i**5 + 1/4*i**4 + 0*i + 0 + j*i**3.
i**4*(4*i + 1)/4
Suppose 8*x - 560 + 536 = 0. Factor 2/3*p**2 - 1/3*p**5 + 0 + 0*p**x - 2/3*p**4 + 1/3*p.
-p*(p - 1)*(p + 1)**3/3
Let d(x) be the third derivative of -x**5/12 + 13*x**4/24 - x**3 - 68*x**2. Determine t, given that d(t) = 0.
3/5, 2
Let f(r) = r**2 + 8*r. Let z be 1 - 5/((-5)/(-9)). Let j be f(z). Determine n so that 0 - 2/9*n**3 + j*n + 2/9*n**2 = 0.
0, 1
Let w(i) be the first derivative of 4 + 0*i - 1/10*i**5 + 1/6*i**3 + 1/4*i**2 - 1/8*i**4. Determine j, given that w(j) = 0.
-1, 0, 1
Let b(w) be the third derivative of 0*w**3 - 1/20*w**5 - 1/40*w**6 + 4*w**2 + 1/70*w**7 + 0*w**4 + 0 + 1/112*w**8 + 0*w. Determine u, given that b(u) = 0.
-1, 0, 1
Let m(l) = 35*l**4 + 8*l**3 - 37*l**2 - 12*l - 2. Let c(b) = 35*b**4 + 7*b**3 - 38*b**2 - 13*b - 3. Let h(p) = -2*c(p) + 3*m(p). Factor h(o).
5*o*(o - 1)*(o + 1)*(7*o + 2)
Let h(x) be the first derivative of x**4/6 + 10*x**3/27 + 2*x**2/9 + 17. What is f in h(f) = 0?
-1, -2/3, 0
Suppose -2*l + s + 2 = 1, -4*l - 5*s + 37 = 0. Let h(y) be the second derivative of 0*y**2 - 1/6*y**4 + 2*y + 0*y**l + 0. Factor h(v).
-2*v**2
What is r in -6 - 10 + 4*r + 2*r**2 - 8 + 4*r = 0?
-6, 2
Let p(q) be the second derivative of q**6/72 - q**5/90 - 5*q**4/72 + q**3/9 + 5*q**2/2 - 7*q. Let x(u) be the first derivative of p(u). Factor x(f).
(f - 1)*(f + 1)*(5*f - 2)/3
Suppose 2*q = -n - 2*q - 16, 3*q = n - 19. Suppose 42*m + 264*m**3 + 369*m**2 + 12 + 74*m**n + 40*m + 38*m - 314*m**4 = 0. What is m?
-2/5, -1/4, 2
Let m(d) be the second derivative of 0*d**2 + 0*d**5 - 1/1080*d**6 - 2*d + 1/72*d**4 + 1/3*d**3 + 0. Let v(a) be the second derivative of m(a). Factor v(p).
-(p - 1)*(p + 1)/3
Let g = -33 + 100/3. What is c in 1/3*c**2 - g + 0*c = 0?
-1, 1
Suppose -i - 4*o = 10, o - 7 = -2*i - 3*i. Factor -1 + 1/3*q**i + 2/3*q.
(q - 1)*(q + 3)/3
Let n(k) be the second derivative of 1/75*k**6 - 2/15*k**3 + 0 - 1/5*k**2 + 1/25*k**5 + 0*k**4 - 2*k. Determine t so that n(t) = 0.
-1, 1
Let q(j) = 0*j**2 + 6*j - j + j**2 + 6. Let n be q(-4). Factor n - s**2 - 2*s + 5*s**2 - 3*s**2 - s.
(s - 2)*(s - 1)
Let a = 9 - 3. Factor -7*l**2 - a - l**2 - 11*l - 15*l.
-2*(l + 3)*(4*l + 1)
Let z(u) be the third derivative of u**5/150 - 7*u**4/60 + 2*u**3/5 - 17*u**2 + 3*u. Factor z(m).
2*(m - 6)*(m - 1)/5
Let l(t) be the first derivative of -2*t**3/27 - 2*t**2/9 + 12. Solve l(w) = 0.
-2, 0
Let a(x) be the first derivative of 2*x**3/21 + 2*x**