se -z = -5*o - 3, -5*o = -3*o. Let 0 + 3/2*d - 2*d**z + 1/2*d**2 = 0. Calculate d.
-3/4, 0, 1
Let r(w) = -w - 1. Let y be r(-3). Factor 5*u**4 - u**5 - y*u**4 - 5*u**3 + 3*u**3 - 6*u**4.
-u**3*(u + 1)*(u + 2)
Factor -136*g - 39*g - 1253*g**3 + 65*g**2 - 245 + 1248*g**3.
-5*(g - 7)**2*(g + 1)
Let d(g) be the second derivative of -g**5/100 + g**4/60 + g**3/15 + 3*g. Factor d(i).
-i*(i - 2)*(i + 1)/5
Let k(x) be the second derivative of x**5/10 - x**3/3 + 3*x. Find a, given that k(a) = 0.
-1, 0, 1
Let t(o) be the first derivative of 4*o**5/5 - 4*o**4/3 - 8*o**3/9 + 8*o**2/3 - 4*o/3 - 20. Find u, given that t(u) = 0.
-1, 1/3, 1
Suppose 9 + 111 = 4*v. Let x be (-4)/v + (-6)/(-45). Solve 0*f**2 - 4/7*f**4 + x*f - 2/7*f**5 - 2/7*f**3 + 0 = 0 for f.
-1, 0
Let f(r) = r + 4. Let d be f(3). Let w = 4 - -2. Suppose -w*h**4 - h**2 + 11*h**5 - 10*h**3 + d*h**5 - h**2 = 0. Calculate h.
-1/3, 0, 1
Let t(c) be the third derivative of -c**6/40 - c**5/5 - c**4/8 + 3*c**3 - 16*c**2. Solve t(p) = 0.
-3, -2, 1
Factor -5*x**5 + 7*x**5 - 4*x - 4*x**4 + 2*x + 4*x**2.
2*x*(x - 1)**3*(x + 1)
Let g(s) be the first derivative of -21*s**5/10 + 69*s**4/8 - 27*s**3/2 + 39*s**2/4 - 3*s + 8. Factor g(j).
-3*(j - 1)**3*(7*j - 2)/2
Suppose 3*f + 4 = 5*q - 3*q, -5*q = -3*f - 10. Suppose 2*h = -3*h + 30. Let -6*u + h*u + q*u**3 = 0. What is u?
0
Let u(i) be the third derivative of i**8/24 + 8*i**7/21 + 79*i**6/60 + 29*i**5/15 + i**4/3 - 8*i**3/3 + 29*i**2. Solve u(r) = 0 for r.
-2, -1, 2/7
Suppose 4*r - 6 = r. Suppose 0*t - n = 4*t - 19, 2*t - n = 5. Factor 2*y**3 + 10*y + 5 - 5 - 8*y**r - t.
2*(y - 2)*(y - 1)**2
Let l(s) be the third derivative of 1/30*s**6 + 0 + 0*s**5 - 2/105*s**7 + 0*s**4 - 5*s**2 + 0*s**3 + 0*s. Factor l(f).
-4*f**3*(f - 1)
Factor 0*q + 0*q**3 + 0 - 1/8*q**5 - 3/8*q**4 + 1/2*q**2.
-q**2*(q - 1)*(q + 2)**2/8
Let -39/2*o**2 + 18*o + 3/2 = 0. Calculate o.
-1/13, 1
Let c = 92 - 181/2. Factor 0*r + 0 - c*r**2.
-3*r**2/2
Let b(q) be the second derivative of 2/15*q**3 + 2*q - 1/10*q**4 + 1/50*q**5 + 0*q**2 + 0. Factor b(r).
2*r*(r - 2)*(r - 1)/5
Suppose 0 = -745*w + 741*w. Let w + 2/5*r**4 - 2/5*r**3 - 2/5*r**2 + 2/5*r = 0. Calculate r.
-1, 0, 1
Solve 3/2*s**3 - 1 + s**2 - 3/2*s = 0 for s.
-1, -2/3, 1
Let j = -23/5 - 39/10. Let b = j - -89/10. Determine z, given that 0*z + 0 + 1/5*z**4 - 1/5*z**3 - b*z**2 = 0.
-1, 0, 2
Suppose 14 = -5*b - 31. Let v be (-2)/8 - b/12. Determine j, given that -1/2*j**3 - v*j + 0 - j**2 = 0.
-1, 0
Let g = 11 + -54/5. Let o(c) be the first derivative of -1/2*c**4 - 2 + 1/3*c**3 + 0*c + g*c**5 + 0*c**2. Factor o(u).
u**2*(u - 1)**2
Let z(o) be the third derivative of o**9/1512 - o**8/560 + o**7/840 + o**3/2 - 3*o**2. Let x(m) be the first derivative of z(m). Factor x(l).
l**3*(l - 1)*(2*l - 1)
Let x = -26 - -26. Suppose 1 = z - 1. Determine v so that -4*v + x + 10*v**2 - 8*v**z + 2 = 0.
1
Let s(l) = -l**3 - 17*l**2 - 15*l + 19. Let d be s(-16). Solve 4*q**4 + q**3 + 2*q**3 + q**d = 0.
-1, 0
Let u(g) be the second derivative of 3*g + 0*g**2 + 0 + 1/60*g**5 + 0*g**3 - 1/72*g**4 - 1/180*g**6. Factor u(a).
-a**2*(a - 1)**2/6
Let 30*t**3 + 180*t**4 - 105*t**4 - 9*t**2 - 96*t**4 = 0. What is t?
0, 3/7, 1
Let a(b) be the third derivative of b**9/5040 - b**7/840 - 5*b**4/24 - b**2. Let c(d) be the second derivative of a(d). Factor c(s).
3*s**2*(s - 1)*(s + 1)
Let z be -2*((-1)/1 + 0). Suppose -p - 2*p = 2*i - 6, 2*i - z = -p. Find h, given that 0*h + 4*h**3 - 2*h**2 + i*h**2 + 6*h**4 - 6*h + 2*h**5 - 2*h**2 - 2 = 0.
-1, 1
Let z(x) = -x - 13 + 78*x**3 - 25*x**2 + 9*x**4 - 3*x - 90*x**3. Let s(l) = 4*l**4 - 6*l**3 - 12*l**2 - 2*l - 6. Let i(f) = 13*s(f) - 6*z(f). Factor i(k).
-2*k*(k + 1)**3
Let t(k) be the third derivative of 3*k**8/560 - 13*k**7/350 + 19*k**6/200 - 11*k**5/100 + k**4/20 + 7*k**2. Determine p so that t(p) = 0.
0, 1/3, 1, 2
Suppose -3*j + 5 = 23. Let p be (-2)/4*4/j. Suppose 0 - 1/3*f**4 + p*f**3 + 1/3*f**2 - 1/3*f = 0. Calculate f.
-1, 0, 1
Let a(q) = -2*q**2 + 16*q - 11. Let g be a(7). Suppose -3/2*p**4 - 3/2*p**5 + 0 + 0*p**2 + 0*p**g + 0*p = 0. Calculate p.
-1, 0
Let z(f) = -15*f**4 - 37*f**3 - 15*f**2 + 9*f + 8. Let r(t) = 30*t**4 + 75*t**3 + 30*t**2 - 19*t - 17. Let m(k) = -6*r(k) - 13*z(k). Factor m(o).
(o + 1)**2*(3*o - 1)*(5*o + 2)
Let p(n) be the first derivative of 4 - 1/15*n**3 - 9/5*n + 3/5*n**2. Factor p(j).
-(j - 3)**2/5
Let z be 51/2 + (-3)/(-2). Determine a, given that -3*a**2 + 36*a**3 + 40*a**2 - 64*a + 16 - 81*a**4 + z*a**5 + 27*a**2 = 0.
-1, 2/3, 2
Let a(t) be the third derivative of 0*t - 1/105*t**7 + 0*t**3 + 0*t**4 + 1/30*t**6 - 1/30*t**5 + 4*t**2 + 0. Solve a(i) = 0.
0, 1
Let o(j) be the second derivative of j**7/84 - j**6/30 - j**5/40 + j**4/12 - j. Find p, given that o(p) = 0.
-1, 0, 1, 2
Let b(z) be the first derivative of 1/9*z**6 - 2/3*z**5 + 8/3*z + 7/6*z**4 - 8/3*z**2 + 2/9*z**3 + 4. Solve b(g) = 0 for g.
-1, 1, 2
Find x such that 7*x - 2 + 0*x**3 + 2*x - 6*x**2 + 2*x**3 - 3*x = 0.
1
Let p = -61 - -65. Factor 0*j**2 + 0 - j**p + 1/3*j**5 + 0*j + 2/3*j**3.
j**3*(j - 2)*(j - 1)/3
Factor 2/7*t**3 - 4/7*t**2 + 4/7 - 2/7*t.
2*(t - 2)*(t - 1)*(t + 1)/7
Let v(g) = -g**3 + g**2 + g - 1. Let k(r) = -8*r**3 + 11*r**2 + 2*r - 5. Let b(n) = -k(n) + 5*v(n). Factor b(q).
3*q*(q - 1)**2
Let k = 96/13 + -179/26. Factor 1/4*n**4 + k*n - 1/4 - 1/2*n**3 + 0*n**2.
(n - 1)**3*(n + 1)/4
Let n be -12 - -16 - (-20)/(-7). Let z(g) be the first derivative of -1 + n*g + 6/7*g**3 + 12/7*g**2 + 1/7*g**4. Find d, given that z(d) = 0.
-2, -1/2
Solve -21/2*a**2 - 3*a + 0 = 0 for a.
-2/7, 0
Let q = -4 - -7. What is u in u**5 + u**5 - 2*u**4 + 7*u**4 - 2*u**2 - 3*u**4 - 2*u**q = 0?
-1, 0, 1
Let p be (1/12)/(642/90 + -7). Let h(a) be the first derivative of p*a**4 - 2/5*a**5 + 1/12*a**6 + 0*a - 1/3*a**3 + 4 + 0*a**2. Factor h(n).
n**2*(n - 2)*(n - 1)**2/2
Let q = 331/135 + 4/27. Factor -q*y**3 - 7/5*y + 1/5 + 3*y**2 + 4/5*y**4.
(y - 1)**3*(4*y - 1)/5
Let a(o) be the second derivative of -1/15*o**6 + 0 + 0*o**3 + 2/25*o**5 + 9*o - 1/30*o**4 + 2/105*o**7 + 0*o**2. Solve a(r) = 0.
0, 1/2, 1
Let p = 14 - 11. Factor 4*o**p + 4*o**2 - 2*o**2 - 5*o**3.
-o**2*(o - 2)
Let m be (-1)/(-6) + (-37)/42. Let x = m - -59/63. Determine f, given that -x*f**3 - 2/9*f + 0 + 4/9*f**2 = 0.
0, 1
Let l(o) = -o**3 - 9*o**2 - 9*o - 6. Let y be l(-8). Factor -2*q + 10*q**3 + 3*q - 7*q + 6*q**2 + y*q.
2*q*(q + 1)*(5*q - 2)
Factor -6/5*j**2 - 4/15*j + 0 - 14/15*j**3.
-2*j*(j + 1)*(7*j + 2)/15
Let b = 9 - 12. Let i(v) = 9*v**3 - v**2 - 5*v. Let k(m) be the second derivative of -m**5/4 + m**4/12 + m**3/2 + m. Let o(z) = b*i(z) - 5*k(z). Factor o(c).
-2*c**2*(c + 1)
Let x be (21 - 18)*2/3. Let b = 2 - -2. Suppose 0*k**b + 27/4*k**5 + 5*k - 5/2*k**2 - 45/4*k**3 + x = 0. Calculate k.
-2/3, 1
Let g be 33/143*(2 - 1). Let d = 25/52 - g. Factor d*n**3 - 1 + 0*n + 3/4*n**2.
(n - 1)*(n + 2)**2/4
Let f(k) = k**3 + 17*k**2 + 32*k + 31. Let p(i) = -i**3 - 19*i**2 - 32*i - 32. Let t(j) = -4*f(j) - 3*p(j). Determine x, given that t(x) = 0.
-7, -2
Factor 23*l**2 - 24*l**2 + 12*l - 17 - 19.
-(l - 6)**2
Factor -4/5*w**5 - 4*w**3 + 16/5*w**4 + 0 + 8/5*w**2 + 0*w.
-4*w**2*(w - 2)*(w - 1)**2/5
Let v(k) = -2*k**5 - 6*k**4 + 2*k**3 + 6*k**2 + 4*k. Let i(y) = -y**3. Let q(x) = -4*i(x) - v(x). Factor q(n).
2*n*(n - 1)*(n + 1)**2*(n + 2)
Let x(a) be the third derivative of -1/180*a**6 + 1/90*a**5 - 5*a**2 + 0*a + 1/72*a**4 - 1/18*a**3 + 1/1008*a**8 - 1/630*a**7 + 0. Factor x(q).
(q - 1)**3*(q + 1)**2/3
Let h(z) = z**2 - 6*z + 9. Let i be h(5). Let d(y) be the third derivative of 2*y**2 + 0*y - 1/12*y**5 + 0 + 1/12*y**i + 0*y**3. Factor d(u).
-u*(5*u - 2)
Let g(r) be the second derivative of -r**7/147 + 2*r**6/105 - r**5/70 - 29*r. Factor g(z).
-2*z**3*(z - 1)**2/7
Let k(j) be the first derivative of 0*j + 0*j**3 + 0*j**5 + 0*j**4 - 3/2*j**2 + 1/540*j**6 + 3. Let x(s) be the second derivative of k(s). Factor x(g).
2*g**3/9
Factor 0 - 2/3*b**3 + 4/3*b - 2/3*b**2.
-2*b*(b - 1)*(b + 2)/3
Let l(i) be the third derivative of -i**7/525 + i**6/150 + i**5/150 - i**4/30 + 33*i**2. Suppose l(y) = 0. Calculate y.
-1, 0, 1, 2
Suppose 4*s - 7 = 1. Suppose -5*o + j + 4*j + 30 = 0, 3*o + 2*j = 3. Determine d, given that 0*d**2 + 3*d + d - d**4 - 4*d**3 - o*d**s + 4 = 0.
-2, -1, 1
Factor -5*n**4 - 2*