 + 13/420*k**7 - 2/3*k**3 + 1/48*k**6 + 0 - 5/12*k**5. Let r(c) = 0. Calculate c.
-2, 1/4, 1, 2
Let l be (-230)/4*(-12)/(-120). Let c = l + 119/20. Find n, given that 1/5*n**2 - c*n + 0 = 0.
0, 1
Let j be 6 + 0 + (-2 - 0). Suppose j + 4 = 2*g. Factor 0*i**2 - i + 3/4*i**3 - 1/4*i**g + 0.
-i*(i - 2)**2*(i + 1)/4
Let d(k) = 79*k**2 - 38*k - 1. Let b(x) = 26*x**2 - 11*x. Let i(t) = 8*b(t) - 3*d(t). Factor i(u).
-(u - 1)*(29*u + 3)
Let -116*t + 240 - 7*t**2 + 27*t**2 + 685*t - 157*t = 0. Calculate t.
-20, -3/5
Let a(v) be the second derivative of -1/14*v**4 + 0*v**2 + 0 + 3/140*v**5 + 1/14*v**3 + 22*v. Factor a(o).
3*o*(o - 1)**2/7
Factor -1/3*c**4 + 0*c + 4*c**2 + 0 + 11/3*c**3.
-c**2*(c - 12)*(c + 1)/3
Let y(u) = -33*u**2 - 235*u - 28. Let l be y(-7). Factor l*o**4 + 0 + 4/5*o**3 - 2/5*o**5 - 2/5*o + 0*o**2.
-2*o*(o - 1)**2*(o + 1)**2/5
Let f be 1*4 + (-714)/261 + 54/783. Factor f*o**3 - 8/3*o + 0 + 4/3*o**2.
4*o*(o - 1)*(o + 2)/3
Suppose 5*p + z - 17 = 0, -2*z - 9 = z. Factor -4*c**2 + 6*c**3 - 7*c**p + c**5 + 3*c**4 - 4*c + 5*c.
c*(c - 1)**4
Factor -1/8*w**2 + 6*w - 72.
-(w - 24)**2/8
Let i(x) = -7*x**4 + 23*x**3 - 49*x**2 + 17*x - 4. Let v(o) = -15*o**4 + 45*o**3 - 99*o**2 + 33*o - 9. Let a(y) = 9*i(y) - 4*v(y). Factor a(k).
-3*k*(k - 7)*(k - 1)**2
Suppose -1/3*p**3 + 76/3*p + 0 - 25*p**2 = 0. What is p?
-76, 0, 1
Suppose 6*i = 4*i + 144. Factor -12*u**3 - i*u + 11*u**2 + 4*u**4 - 23*u**2 + 28*u**3.
4*u*(u - 2)*(u + 3)**2
Let o(i) = 4*i**2 + 9*i + 5. Let x be o(-6). Suppose -1088 + x*a + 70*a**3 - 360*a**2 + 448 - 5*a**4 + 729*a - 24*a = 0. Calculate a.
2, 4
Suppose -m + 2*d + 4 = 0, 0 = 4*d - 3 - 5. Suppose 3*v + 20 = m*v. Solve -2/5*f**5 - 2/5*f**v + 0*f + 0 + 0*f**2 + 0*f**3 = 0.
-1, 0
Let b(g) = -12*g**3 + 38*g**2 - 64*g + 12. Let q(s) = 25*s**3 - 77*s**2 + 131*s - 24. Let u(r) = 13*b(r) + 6*q(r). Determine v, given that u(v) = 0.
1/3, 2, 3
Let g(p) be the first derivative of 11 + 0*p**2 - 1/5*p**5 - 1/9*p**3 + 1/18*p**6 + 1/4*p**4 + 0*p. What is b in g(b) = 0?
0, 1
Let m(w) be the third derivative of 0 + 36*w**2 - 4/3*w**3 - 5/6*w**4 - 4/15*w**5 + 0*w - 1/30*w**6. Find n, given that m(n) = 0.
-2, -1
Let a be (-1 - (-5)/2)*-4. Let q = 4 - 1. Let l(f) = f**2 + 4*f. Let p(z) = z. Let n(t) = a*p(t) + q*l(t). What is i in n(i) = 0?
-2, 0
Factor -157 - 36*y**2 + 17130*y**3 - 5 - 135*y - 17133*y**3.
-3*(y + 3)**2*(y + 6)
Let b = 49 - 40. Factor -2*c**2 + 2 + 0*c**2 + 0*c + 6*c**2 - b*c.
(c - 2)*(4*c - 1)
Let u(n) be the second derivative of 7*n**6/345 + n**5/10 - n**4/138 - n**3/3 - 6*n**2/23 - n + 3. What is s in u(s) = 0?
-3, -1, -2/7, 1
Let c(g) be the first derivative of -11 + 32*g**2 + 256*g + 4/3*g**3. Factor c(p).
4*(p + 8)**2
Let g(w) be the third derivative of -w**5/210 - 5*w**4/42 - 25*w**3/21 - 4*w**2 + 12. Factor g(x).
-2*(x + 5)**2/7
Suppose 10*p - 12*p + 44 = 0. Factor 5*u**3 + 9*u**3 + 14*u**2 + p*u + 0*u**3 - 4 - 46*u**2.
2*(u - 1)**2*(7*u - 2)
Let j(f) be the third derivative of -f**7/490 + f**6/56 - 3*f**5/140 - 5*f**4/56 + 2*f**3/7 + f**2 + 133. Let j(p) = 0. What is p?
-1, 1, 4
Suppose 0 = -v - 5*u + 22, 4*v - 2*u - 16 = 2*u. Factor 4*o**5 - v*o**3 + 18*o**2 + 15*o**3 - 16*o**4 + 12*o**3 - 26*o**2.
4*o**2*(o - 2)*(o - 1)**2
Let y(x) be the first derivative of x**7/420 + x**6/60 - x**5/60 - x**4/4 - x**3 + 12. Let d(g) be the third derivative of y(g). Factor d(a).
2*(a - 1)*(a + 1)*(a + 3)
Let v = 6272 - 6269. Let y be 5*(-3)/(15/(-2)). Find n, given that 1/4*n**v - 1/4*n + 1/2 - 1/2*n**y = 0.
-1, 1, 2
Let y(i) be the first derivative of i**6/6 - i**5/5 - 3*i**4/4 + i**3/3 + i**2 - 131. Solve y(j) = 0 for j.
-1, 0, 1, 2
Let f(a) = a**3 + 4*a**2 + 4*a + 5. Let z be f(-2). Suppose 20 = 6*p - 11*p + z*h, 0 = 2*h - 8. Factor -27/4*y**3 + 27/4*y**2 + p*y - 1.
-(3*y - 2)**2*(3*y + 1)/4
Let q(h) be the first derivative of 8/9*h**6 + 5/3*h**4 - 4/9*h**3 - 32/15*h**5 + 0*h + 0*h**2 - 36. Solve q(s) = 0.
0, 1/2, 1
Let z = -2576 + 2576. Let x(f) be the third derivative of 0*f - 3/4*f**4 + 0*f**3 + z - 1/60*f**6 - 1/5*f**5 + f**2. Factor x(s).
-2*s*(s + 3)**2
Factor -4*k**2 + 7*k**3 - 10*k**2 - 2*k**3 + 30 - 8*k**2 + 12*k**2 - 25*k.
5*(k - 3)*(k - 1)*(k + 2)
Let y(t) = -65*t**4 + 10*t**3 - 65*t**2. Let l(d) = 11*d**4 - 2*d**3 + 11*d**2. Let i(j) = -35*l(j) - 6*y(j). Factor i(p).
5*p**2*(p + 1)**2
Suppose 0*y - 1/3*y**2 + 1/3 = 0. What is y?
-1, 1
What is t in 1/6*t**2 - 2/3 + 0*t = 0?
-2, 2
What is h in 16*h**2 - 5*h**3 + 1/3*h**4 + 64/3*h + 0 = 0?
-1, 0, 8
Let d(p) be the first derivative of 0*p + 0*p**2 - 2/65*p**5 - 2/39*p**3 + 1/13*p**4 - 2. Determine v, given that d(v) = 0.
0, 1
Let p = -31590/7 - -4514. Suppose -2/7*x**4 - p*x + 0 - 4/7*x**3 + 2*x**2 = 0. Calculate x.
-4, 0, 1
Let 0*p + 4/3*p**4 + 2/3*p**3 - 4/3*p**2 + 0 - 2/3*p**5 = 0. Calculate p.
-1, 0, 1, 2
What is g in -g**5 + 2*g**5 + 42*g**2 + 32*g**4 - 33*g + 70*g + 34*g**3 - 22*g**4 + 10*g**2 + 10 = 0?
-5, -2, -1
Let u(m) be the first derivative of -5*m**4/4 + 865*m**3/3 - 36975*m**2/2 - 37845*m + 214. Factor u(n).
-5*(n - 87)**2*(n + 1)
Factor -4/9*j**2 + 20/9 - 11/9*j.
-(j + 4)*(4*j - 5)/9
Let g(w) be the second derivative of -1/7*w**3 - 1/14*w**5 - 2*w + 1/105*w**6 + 0*w**2 + 0 + 1/6*w**4. Factor g(h).
2*h*(h - 3)*(h - 1)**2/7
Solve -46 + 39*w**2 - 107*w - 3*w**4 + 0*w**3 + 11 - 1 + 119*w - 12*w**3 = 0 for w.
-6, -1, 1, 2
Factor 244*j + 630*j**2 - 635*j**2 - 405 + 166*j.
-5*(j - 81)*(j - 1)
Factor -10/3*l**2 + 0 - 8/9*l**3 + 2/9*l**4 + 4*l.
2*l*(l - 6)*(l - 1)*(l + 3)/9
Let b(a) be the third derivative of 0 + 1/60*a**5 + 0*a - 1/48*a**4 + 0*a**3 - 1/240*a**6 - a**2. Factor b(s).
-s*(s - 1)**2/2
Suppose 0*g + g + 25 = -3*n, g = 2*n + 20. Let m be n/6*(3 - (-59)/(-9)). What is k in 8/3 + 10/3*k**2 - 2/3*k**3 - m*k = 0?
1, 2
Let y(p) = 21*p**2 - 14*p. Let m(z) = -295*z**2 + 195*z. Let n(q) = -4*m(q) - 55*y(q). Let b(u) = -24*u**2 + 9*u. Let i(g) = -5*b(g) - 4*n(g). Factor i(k).
5*k*(4*k - 1)
Suppose 0 + 4*l**2 + 8/3*l - 12*l**3 + 4*l**5 + 4/3*l**4 = 0. Calculate l.
-2, -1/3, 0, 1
Let j be 58/5 - 42/(-105). Let f = 11 - -25. Suppose -f + 19*r - 3*r**2 - 43*r - j = 0. What is r?
-4
Let a(w) be the third derivative of 0*w + 0 + 12*w**2 - 1/60*w**4 - 1/150*w**5 + 0*w**3. Find u such that a(u) = 0.
-1, 0
Suppose -f + 5*f = 3*s - 22, 3*s - 32 = 2*f. Let w be (2 + 3)*s/35. Factor -1/4*d**4 + 0 + 3/4*d**3 - 3/4*d**w + 1/4*d.
-d*(d - 1)**3/4
Factor 5/6*t**3 - 5/6*t**2 - 25/6*t - 5/2.
5*(t - 3)*(t + 1)**2/6
Let r(u) = u**3 - 2*u**2 - u. Let c = -5 + 7. Let l(x) = -4*x**c - x + 2*x + x + 3*x**3 - 4*x. Let y(m) = -6*l(m) + 15*r(m). Factor y(z).
-3*z*(z + 1)**2
Let t(c) = -2*c + 26. Let a be t(14). Let m be 1/(((-1)/(a/4))/10). Find i, given that 0*i + 0*i**2 - 8/7*i**m + 0 - 6/7*i**4 + 2/7*i**3 = 0.
-1, 0, 1/4
Let d(y) be the second derivative of y**5/5 - 2*y**3/3 - 35*y. Suppose d(z) = 0. Calculate z.
-1, 0, 1
Let a = -3 + 7. Suppose 0 = -a*d, 5*d - 3 + 13 = 5*p. Factor x**2 + 0*x**p - x**2 - 32*x**4 + 4*x**3.
-4*x**3*(8*x - 1)
Let c(b) be the first derivative of -b**4/4 - 2*b**3/3 + 4*b**2 + 474. Factor c(f).
-f*(f - 2)*(f + 4)
Suppose y + 4*o + 5 = -11, 2*y = 4*o + 28. Let i(c) be the first derivative of 1/24*c**4 - 1/18*c**3 - 1/6*c**2 + y + 0*c. Solve i(p) = 0 for p.
-1, 0, 2
Let q(o) be the third derivative of -o**9/362880 - o**8/60480 - o**7/30240 + 13*o**5/60 + 40*o**2. Let y(v) be the third derivative of q(v). Factor y(k).
-k*(k + 1)**2/6
Let y be 0*6*(-2)/36. Suppose y*t**2 - 1/4*t**3 + 3*t - 4 = 0. Calculate t.
-4, 2
Let s(n) be the first derivative of -3*n**5/20 + n**4/2 - n**3/2 + 3*n - 14. Let j(y) be the first derivative of s(y). Suppose j(x) = 0. Calculate x.
0, 1
Let m(s) be the third derivative of s**6/10 + 82*s**5/15 - 19*s**4/2 - 56*s**3/3 + 17*s**2 - 2*s. Factor m(f).
4*(f - 1)*(f + 28)*(3*f + 1)
Let x(h) be the second derivative of 16*h + 13/27*h**3 - 1 - 1/54*h**4 - 4/3*h**2. Factor x(u).
-2*(u - 12)*(u - 1)/9
Let r be (-2)/(-8)*1 + 0. Let j = 11/12 - r. Factor -1/3 - j*i - 1/3*i**2.
-(i + 1)**2/3
Let g = 10 + -9. Suppose 2 - g = 5*k + 3*n, -3*k + 2*n + 12 = 0. Let -3*r**4 + 7*r**3 + 3*r - 9*r**k + 3*r**3 - r**3 = 0. Calculate r.
0, 1
Let k(w) be the second derivative of 11*w - 1/2*w**3 - 1/2*w**4 + 3*w**2 + 0 + 3/20*w**5. Determine x, given that k(x) = 0.
