m(k).
-2*k**2*(k - 1)*(k + 1)/5
Find a such that -a**3 + 0 + 1/3*a + 1/3*a**2 - 2/3*a**5 - 5/3*a**4 = 0.
-1, 0, 1/2
Let l(d) = d**3 + d**2 - d - 1. Let j(b) = -12*b**3 - 4*b**2 + 6*b + 6. Let k(c) = -j(c) - 6*l(c). Factor k(p).
2*p**2*(3*p - 1)
Let a(p) be the second derivative of p**8/2240 - p**7/280 + p**5/10 + 5*p**4/12 - 3*p. Let q(k) be the third derivative of a(k). Find c such that q(c) = 0.
-1, 2
Let j(o) = o**5 + 4*o**4 + 7*o**3 - 6*o. Let t(d) = -d**4 - d**3 + d. Let c(w) = j(w) + 6*t(w). Find n, given that c(n) = 0.
0, 1
Let z be (-32)/12*(-3)/(-2). Let m = z + 6. What is u in 2 + 0 - 2*u**m - 2 = 0?
0
Let s(a) = a**2 + 11. Let g(c) = c**2 - c + 10. Let j(z) = 6*g(z) - 5*s(z). Let h be j(5). Determine b, given that 0 - 1/4*b**3 + h*b + 0*b**2 = 0.
0
Let h(i) be the first derivative of 3*i**5/70 + i**4/42 - i**3/7 - i**2/7 - 4*i + 1. Let l(o) be the first derivative of h(o). Factor l(v).
2*(v - 1)*(v + 1)*(3*v + 1)/7
Let u be (-1)/(-3) - (-2 - 0)/(-6). Let j(s) be the first derivative of -1/2*s**4 + 1 - 1/3*s**3 - 1/5*s**5 + u*s + 0*s**2. Factor j(l).
-l**2*(l + 1)**2
Let x be (3 - 0) + (-4592)/1536. Let c(t) be the third derivative of -2*t**2 + 0 + 0*t + 1/24*t**3 - 1/480*t**6 + x*t**4 - 1/240*t**5. Factor c(o).
-(o - 1)*(o + 1)**2/4
Let t = 248/371 - -10/53. Let 2/7*v**4 + 4/7*v**2 + t*v**3 + 0*v + 0 = 0. Calculate v.
-2, -1, 0
Suppose -21 = 2*m - 3*t, 0 = -4*m + 2*t - 1 - 21. Let g(d) = d**3 + 3*d**2 - d + 1. Let r be g(m). Factor j**3 - 3*j**2 + j**r - 5 - 3 + 6 - 5*j.
(j - 2)*(j + 1)**3
Let h = 469/10 + -93/2. Let q(r) be the first derivative of -1 + 2/3*r**3 + 1/2*r**4 - h*r**5 - r**2 + 0*r. Factor q(i).
-2*i*(i - 1)**2*(i + 1)
Let z = -31 + 36. Let u(f) be the second derivative of 1/15*f**6 + 1/30*f**z + 0*f**2 + 0*f**4 + 0*f**3 + 0 + 3*f. Find s such that u(s) = 0.
-1/3, 0
Let m = 11 + -8. Suppose -12 = -2*a + 2*j, -6 = 3*j + m. Factor 6*d**5 + d**2 - 5*d**5 - 2*d**3 - d**4 + d**a.
d**2*(d - 1)**2*(d + 1)
Suppose 36*n**5 - 128/3 + 72*n**4 - 320/3*n**2 + 448/3*n - 96*n**3 = 0. What is n?
-2, 2/3
Let f(b) = b**2 - 60*b + 279. Let k be f(5). Factor 10/3*v**2 - 4/3*v + 0 - 8/3*v**3 + 2/3*v**k.
2*v*(v - 2)*(v - 1)**2/3
Let q = 75 - 72. Let l(o) be the third derivative of -4*o**q + 0 - 19/2*o**5 - o**2 + 17/2*o**4 + 35/8*o**6 + 0*o. Find k such that l(k) = 0.
2/7, 2/5
Suppose 8*d - 4*d - 12 = 0. Let v(u) be the third derivative of 0*u**d + 0*u + 0*u**4 - 1/630*u**7 - 1/120*u**6 + 0 - 1/90*u**5 - 2*u**2. Factor v(f).
-f**2*(f + 1)*(f + 2)/3
Let z(q) be the first derivative of -2 + 2/5*q**5 - 2*q**4 - 2*q**2 + 10/3*q**3 + 0*q. Factor z(j).
2*j*(j - 2)*(j - 1)**2
Factor 0 + 4/15*b + 2/15*b**2.
2*b*(b + 2)/15
Let f be ((-24)/(-30))/((-4)/(-10)). Factor -3*x + 0 + 3*x**f - 3*x + 1 + 2.
3*(x - 1)**2
Determine g, given that -2/5*g**4 - 6/5*g + 4/5 - 2/5*g**2 + 6/5*g**3 = 0.
-1, 1, 2
Let w(s) = 50*s + s**2 + 4 - 48*s - 3. Let p be w(-1). Factor -14/11*o**3 - 4/11*o**2 + 0 - 10/11*o**4 + p*o.
-2*o**2*(o + 1)*(5*o + 2)/11
Let r(f) be the first derivative of -2*f**5/5 - f**4 + 2*f**3 + 8*f**2 + 8*f + 19. Factor r(w).
-2*(w - 2)*(w + 1)**2*(w + 2)
Suppose 4*t = 5*t + l - 3, 0 = -5*l. Find j, given that 7*j**2 - 4*j**2 + j**2 + 2*j + 3*j**t - j**3 = 0.
-1, 0
Suppose -2*s = -7*s. Suppose s = 4*t - t - 12. Determine d, given that d**3 - 5*d - d**2 + 2*d + 2*d + d**t = 0.
-1, 0, 1
Let l = -106 - -2121/20. Let i(y) be the second derivative of -1/6*y**3 + 1/2*y**2 - 2*y - 1/12*y**4 + l*y**5 + 0. Factor i(c).
(c - 1)**2*(c + 1)
Let k be (-3)/12*0 - -1. Let m be k*1/(20/8). Let -m + 18/5*b**2 + 24/5*b**4 - 46/5*b**3 + 6/5*b = 0. Calculate b.
-1/3, 1/4, 1
Suppose -5*t = o - 12, 5*t = o + 4*o. Let p(m) be the third derivative of 1/90*m**5 + 0*m + 2*m**t + 0 + 0*m**3 - 1/72*m**4. Factor p(v).
v*(2*v - 1)/3
Let l = 3845742/8785 - -119/1255. Let v = 439 - l. Suppose 2/7*x**2 - 8/7*x + v = 0. What is x?
2
Let i(q) = -q**2 + q + 1. Let n(a) = a**4 + 3*a**3 + 2*a**2 + 2*a + 1. Let y(w) = -3*i(w) + 3*n(w). Factor y(j).
3*j*(j + 1)**3
Let k be 4/10 + (-13)/(-5). Let x(r) = r**2 - 10*r - 8. Let z be x(11). Determine c, given that c**k + 5*c**2 - 7*c**2 + c**z = 0.
0, 1
Determine n so that 2*n**2 + 6*n - 14*n - 6 + 4*n = 0.
-1, 3
Let k = -776/3 - -282. Let r = -23 + k. Solve 1/3*l**4 + 0 - r*l**2 - 1/3*l**3 + 1/3*l = 0.
-1, 0, 1
Let z(y) = y**2 + 5*y + 3. Suppose -5*g = 3*b - 2*b + 15, 0 = -b - 4*g - 13. Let d be z(b). Factor -o**2 - 2*o - d*o**2 + 2*o**2.
-2*o*(o + 1)
Solve -3*g**2 + g**2 - 84 - 2*g + 84 = 0 for g.
-1, 0
Suppose 0 + 8/7*w**2 + 6/7*w + 2/7*w**3 = 0. What is w?
-3, -1, 0
Let g = -1053 + 1053. Determine b so that 2/7*b**2 - 2/7 + g*b = 0.
-1, 1
Determine v, given that -9*v**4 - 6 - 13*v - 36*v**2 - 25*v**3 - 5*v - 5*v**3 + 3 = 0.
-1, -1/3
Suppose -5*a + 25 = 2*g, -2*g + g - a = -8. Suppose g = -2*u + 3*u. Factor q**4 + 0*q**2 - 1/2*q**3 + 0*q - 1/2*q**u + 0.
-q**3*(q - 1)**2/2
Let w(r) = r**3 - 4*r**2 + 2*r + 3. Let d be w(3). Factor d*z + 6*z - 2*z**2 - 4*z - 4*z.
-2*z*(z + 1)
Suppose 0 = 11*n - 17*n. Find s such that n + 1/5*s + 1/5*s**2 = 0.
-1, 0
Let g(f) be the second derivative of 1/42*f**4 + 1/7*f**3 - 6*f + 0 + 2/7*f**2. Let g(t) = 0. Calculate t.
-2, -1
Let j = -2 + 7/2. Let x(s) = s**2 + 95*s - 394. Let b be x(4). Factor 1 - j*a + 1/2*a**b.
(a - 2)*(a - 1)/2
Let q be (-40)/(-35) - (-4)/70. Factor 3/5*b - q + 3/5*b**2.
3*(b - 1)*(b + 2)/5
Let z = -155 + 155. Factor z*m**2 + 1/7*m + 0 - 1/7*m**3.
-m*(m - 1)*(m + 1)/7
Let n(t) = 3*t + 3. Let k be n(-6). Let d be 5/k - (-14)/6. Factor 0 + 0*z**3 + 4/5*z**4 - 4/5*z**d + 2/5*z**5 - 2/5*z.
2*z*(z - 1)*(z + 1)**3/5
Let r(t) = -t + 10. Let f be r(6). Factor 0 - 3/5*b**3 + 0*b + 3/5*b**5 + 3/5*b**2 - 3/5*b**f.
3*b**2*(b - 1)**2*(b + 1)/5
Factor -10/13*i**2 + 0 + 2/13*i**3 + 12/13*i.
2*i*(i - 3)*(i - 2)/13
Suppose -8*u**3 + 9*u**5 - 4*u**4 + 8*u**5 - 13*u**5 = 0. Calculate u.
-1, 0, 2
Let q(f) = 2*f**3 + f**2 - f. Let a(l) = l**2 + 6*l + 6. Let x be a(-5). Let m be q(x). Factor 8 + 4*p**3 - 2*p**2 + 0*p**4 - 4*p**m + 2*p**4 - 8*p.
2*(p - 1)**2*(p + 2)**2
Let z(s) be the third derivative of -s**5/60 + s**4/4 + 2*s**3/3 - 3*s**2. Let f be z(6). Suppose -u**4 + u - 3*u**2 + 0*u**4 - u**3 + f*u**3 = 0. What is u?
0, 1
Let b(s) be the second derivative of 1/10*s**4 + 1/50*s**5 + 5*s + 0*s**3 - 4/5*s**2 + 0. Solve b(d) = 0 for d.
-2, 1
Let d(g) be the first derivative of g**8/1680 - g**7/672 + g**6/1440 + 2*g**3/3 - 2. Let k(y) be the third derivative of d(y). Let k(j) = 0. Calculate j.
0, 1/4, 1
Let d(g) be the first derivative of -2*g**3/39 - 6*g**2/13 - 18*g/13 + 6. Factor d(q).
-2*(q + 3)**2/13
Find n, given that -n + 1/3*n**3 + 0 - 2/3*n**2 = 0.
-1, 0, 3
Let g(m) = -5*m**3 + m**2 + 10*m + 6. Let y(b) = 5*b**3 - 10*b - 5. Let o(u) = 5*g(u) + 6*y(u). Let o(z) = 0. Calculate z.
-2, 0, 1
Let s(y) be the second derivative of 4*y + 2/3*y**2 + 20/9*y**4 - 1/9*y**7 + 2/3*y**6 - 5/3*y**5 - 5/3*y**3 + 0. Determine x so that s(x) = 0.
2/7, 1
Let l(f) be the second derivative of -f**6/60 + f**4/8 + f**3/6 + 7*f. Let l(q) = 0. What is q?
-1, 0, 2
Let j(d) be the first derivative of 5*d**3/6 + 5*d**2/4 - 5*d - 1. Factor j(y).
5*(y - 1)*(y + 2)/2
Suppose -3*r = -2*a - 3 - 6, 13 = 4*r - 3*a. Suppose 5 = 2*i + r. Solve 3*b**i + 4*b + 3*b + 6*b**2 - 2 = 0 for b.
-1, 2/9
Let w(k) be the first derivative of 1/15*k**3 - 4 + 0*k - 1/10*k**2. Solve w(z) = 0.
0, 1
Let u be ((-28)/(-12))/((-1)/(-3)). Factor -11*m + u*m - m**2 + 3*m**2 - 2 + 4.
2*(m - 1)**2
Find l, given that 0*l + 2 - 3/2*l**2 - 1/2*l**3 = 0.
-2, 1
Let d = -11/7 - -73/42. Let z(w) be the first derivative of -1/16*w**4 - 1/8*w**2 - 1 + 0*w - d*w**3. Factor z(y).
-y*(y + 1)**2/4
Let j(q) = 9*q**3 + q**2 + q - 2. Let g be j(1). Find i, given that -11*i**2 + g*i**2 - 1 + 4*i + 7 = 0.
-1, 3
Let u(h) be the third derivative of -h**5/18 + h**4/18 - 7*h**2. Factor u(q).
-2*q*(5*q - 2)/3
Suppose 3*m = -4*k - 4, -5*m + 1 + 2 = -3*k. Suppose 8 = -m*t + 4*t. Suppose 1/3 + a**t - 1/3*a**3 - a = 0. What is a?
1
Let d(n) = n**3 - 4*n**2 - 3*n - 6. Let c be d(5). Let y(v) = v**3 - 5*v**2 + 5*v + 4. Let p be y(c). Factor -8*w**2 + 15*w - 4 - p*w**2 + 3*w + 2*w**2.
-2*(w - 1)*(7*w - 2)
Let c(s) be the second derivative of -s**6/180 + s**4/12 - 2*s**3/9 + s**2/4 - 12*s. Fa