 + 2)*(5*o + 2)
Let d = 177/2 - 353/4. Determine l, given that d*l**2 + 0*l - 3/4*l**3 + 0 = 0.
0, 1/3
Suppose -5*d + 2*g + 22 = -g, 0 = -g - 4. Factor -1/3*m**d + 0 + 0*m.
-m**2/3
Let q be (-10)/(-4) + 1/(-2). Solve -13*r**q + 3*r**4 - 4*r**4 - 6*r - 5*r**4 + 15*r**3 + 10*r**2 = 0 for r.
-1/2, 0, 1, 2
Suppose 1/4*r**2 + 0 - 1/2*r + 1/4*r**3 = 0. Calculate r.
-2, 0, 1
Let u(m) be the second derivative of -m**7/399 - m**6/95 - 3*m**5/190 - m**4/114 + 5*m. What is r in u(r) = 0?
-1, 0
Let r(q) be the second derivative of -q**5/30 + 3*q. Factor r(d).
-2*d**3/3
Suppose h = 2*p - 2 - 5, 2*h + 4*p = 26. Suppose h*d + 2*d - 5 = -5*i, -2*d - 4 = -4*i. Solve 1/4*n**5 + 0*n**4 - 1/4*n**3 + d*n + 0 + 0*n**2 = 0 for n.
-1, 0, 1
Suppose -2*j + 4*j - 4 = 0. Factor 5*t**3 - 4*t**j - 2*t**3 - 5*t**3.
-2*t**2*(t + 2)
Let g(a) be the second derivative of -a**7/1680 + a**6/720 + a**5/60 - a**4/12 - a**3/6 - 9*a. Let m(q) be the second derivative of g(q). Factor m(h).
-(h - 2)*(h - 1)*(h + 2)/2
Suppose -9 - 7 = -4*v. Suppose 0 = 3*z + 9, -2*z + 1 = 5*r - 3. Find t, given that 5*t**3 + 5*t + 0 + r + 4*t**2 - v*t**3 = 0.
-2, -1
Let p = 419 - 4605/11. Let f be (-78)/(-22) + 0 - 3. Factor -2/11*x**2 - f*x - p.
-2*(x + 1)*(x + 2)/11
Let p(o) = 2 + o + o**2 - 4*o + 6*o. Let r be p(-3). Factor 0 - 4/7*z - 2/7*z**r.
-2*z*(z + 2)/7
Factor 2/13*c**2 - 4/13 + 2/13*c.
2*(c - 1)*(c + 2)/13
Suppose -2*x + 2*z = -24, 3*x - 40 = -x + 2*z. Let a be (6/(-4))/((-4)/x). Factor 2*u + 2*u**2 + 2/3 + 2/3*u**a.
2*(u + 1)**3/3
Let l(y) be the second derivative of -y**10/166320 - y**9/27720 - y**8/12320 - y**7/13860 + y**4/6 + 6*y. Let x(h) be the third derivative of l(h). Factor x(d).
-2*d**2*(d + 1)**3/11
Suppose -4*u + 3 = 3*j - 6*u, 3*u = -5*j - 14. Let m be (10 + -11)/(3*j). Suppose -m - 16/3*p**2 + 8/3*p = 0. What is p?
1/4
Let d(h) be the second derivative of 5*h**4/36 - h**3/18 - 10*h. What is u in d(u) = 0?
0, 1/5
Let f(k) be the third derivative of k**7/210 + k**6/30 + k**5/15 + 6*k**2. Factor f(g).
g**2*(g + 2)**2
Let x be (-2)/12 - 279/(-54). Let d = 7 - x. Factor 3*y**4 - 2*y**2 - y**5 + y**4 + 2*y**3 - y**5 - d*y**4.
-2*y**2*(y - 1)**2*(y + 1)
Let b(i) be the third derivative of -i**9/7560 + i**7/630 - i**5/60 + i**4/6 - 5*i**2. Let k(j) be the second derivative of b(j). Factor k(h).
-2*(h - 1)**2*(h + 1)**2
Let a(q) be the third derivative of q**5/180 + q**2. What is s in a(s) = 0?
0
Let t(p) be the third derivative of 3*p**2 - 3/25*p**5 + 0 + 8/15*p**3 - 1/60*p**6 + 0*p - 1/5*p**4. Factor t(g).
-2*(g + 2)**2*(5*g - 2)/5
Let f(h) be the second derivative of 1/48*h**4 + 0 + 0*h**3 + h + 1/240*h**5 + 1/2*h**2. Let a(v) be the first derivative of f(v). Factor a(y).
y*(y + 2)/4
Let h = -1 + -3. Let o be (-4)/h*-3 + 3. Solve o*n + 0*n**2 - 2/9*n**3 + 0 = 0.
0
Let f be (4/28)/(3/21*2). Solve 1/2*i - f*i**2 + 0 = 0 for i.
0, 1
Let s(x) = -14*x**4 - 26*x**3 - 13*x**2 - x. Let o(t) = -183*t**4 - 339*t**3 - 168*t**2 - 12*t. Let d(h) = 2*o(h) - 27*s(h). Factor d(a).
3*a*(a + 1)*(2*a + 1)**2
Let j = -5 - -5. What is g in -3/5*g**5 + j*g + 9/5*g**3 - 6/5*g**2 + 0 + 0*g**4 = 0?
-2, 0, 1
Let j(m) be the second derivative of -5*m**7/42 + m**6/6 + m**5/4 - 5*m**4/12 + 6*m. Solve j(i) = 0 for i.
-1, 0, 1
Let g(h) be the first derivative of 2*h**6/3 + 8*h**5/5 - 3*h**4 - 16*h**3/3 + 8*h**2 + 10. Factor g(i).
4*i*(i - 1)**2*(i + 2)**2
Let u(j) be the second derivative of j**4/60 - j**3/6 - 5*j. Factor u(m).
m*(m - 5)/5
Let j(z) = -24*z**3 + 23*z**3 - 3 + 4. Let u(r) = r**5 - 2*r**3 + 1. Let c(w) = -3*j(w) + 3*u(w). Determine t so that c(t) = 0.
-1, 0, 1
Let v(m) be the third derivative of -1/30*m**5 + 0*m**3 + 2*m**2 - 1/60*m**6 + 1/105*m**7 + 0 + 1/12*m**4 + 0*m. Factor v(l).
2*l*(l - 1)**2*(l + 1)
Let c = -46 - -140/3. Solve 1/3*k**3 + 1/3*k**4 - k**2 - 1/3*k + c = 0.
-2, -1, 1
Let j = -404 + 404. Determine l, given that 0*l**2 + 2/5*l**3 + 2/5*l**4 + j + 0*l = 0.
-1, 0
Let x(h) be the first derivative of -h**4/28 - h**3/21 + 4*h**2/7 + 12*h/7 - 42. Factor x(a).
-(a - 3)*(a + 2)**2/7
Let s(q) be the first derivative of -q**6/21 - 4*q**5/35 + q**4/7 + 8*q**3/21 - q**2/7 - 4*q/7 - 4. Solve s(r) = 0 for r.
-2, -1, 1
Let y(r) = -r**3 - r**2 - 1. Let c(b) = -6*b**3 - 14*b**2 - 24*b - 21. Let i(a) = c(a) - 5*y(a). Factor i(w).
-(w + 1)*(w + 4)**2
Suppose u = 2*u - 4*j - 6, 0 = u + 2*j. Let c(i) be the first derivative of -4/3*i**3 + 0*i**2 + 1/2*i**4 - u + 0*i. Solve c(n) = 0 for n.
0, 2
Let b be 4/(-2)*(-32)/128. Let -1 + 1/2*w**3 - b*w + w**2 = 0. What is w?
-2, -1, 1
Let c(k) = -k**2 - k + 1. Let t(a) = 5*a**2 + 4*a - 6. Let s(n) = -30*c(n) - 5*t(n). Find i such that s(i) = 0.
-2, 0
Let v(b) be the third derivative of -11/60*b**5 + 1/12*b**4 - 1/30*b**7 + 2/15*b**6 + 0 + b**2 + 0*b**3 + 0*b. Factor v(s).
-s*(s - 1)**2*(7*s - 2)
Let d(g) be the third derivative of g**5/240 + g**4/96 - 3*g**2. Factor d(u).
u*(u + 1)/4
Suppose 26 = 4*h + 9*h. Let -h*z - 2/3*z**2 - 4/3 = 0. Calculate z.
-2, -1
Factor 0 - j - 2/3*j**2 + 1/3*j**3.
j*(j - 3)*(j + 1)/3
Let o = 592/7 - 84. Solve 0*l + 0*l**2 - 2/7*l**3 + o*l**4 + 0 - 2/7*l**5 = 0.
0, 1
Let j be (-2)/6 - (-20)/6. Find u, given that -3*u**3 + j + 7*u**3 - 4*u - 5 + 2*u**4 = 0.
-1, 1
Let f(z) = z**3 + 3*z**2 - z - 3. Let r be f(-2). Let c(l) be the third derivative of 0 - 1/12*l**4 + 1/120*l**5 + 1/3*l**r - 3*l**2 + 0*l. Factor c(y).
(y - 2)**2/2
Suppose -2*j**3 + 3*j**3 - 6*j**2 - 3*j**3 = 0. What is j?
-3, 0
Let z(a) = -2*a**5 - 4*a**4 + 4*a**2 - 7*a. Let y(q) = q. Let s(w) = -18*y(w) - 2*z(w). Factor s(h).
4*h*(h - 1)*(h + 1)**3
Suppose -2*c - 9 = r, -3*r - 6 = -4*c + 1. Let i be (0 - 2)/c + 2. Factor -1/3 + 1/3*s**i - 1/3*s + 1/3*s**2.
(s - 1)*(s + 1)**2/3
Let h(z) be the first derivative of -z**5/30 - z**4/12 + z**2/2 + 3. Let t(o) be the second derivative of h(o). Determine c, given that t(c) = 0.
-1, 0
Let n(o) = 5*o**2 + 7*o. Let p(t) = -26*t**2 - 60*t - 16. Let r(i) = 9*i**2 + 20*i + 5. Let c(x) = 5*p(x) + 16*r(x). Let y(q) = -3*c(q) + 8*n(q). Factor y(g).
-2*g*(g + 2)
Suppose x + 11 = -3*b, 3*x - 6*b - 37 = -b. Let r(s) be the second derivative of 1/5*s**3 + 2*s + 2/5*s**2 + 1/30*s**x + 0. Let r(m) = 0. Calculate m.
-2, -1
Let p(m) be the first derivative of m**5/120 + m**4/36 + m**3/36 - m + 2. Let s(f) be the first derivative of p(f). Factor s(k).
k*(k + 1)**2/6
Let q(n) be the first derivative of 4 + 3/2*n**4 - 3/4*n**2 - 3/2*n**3 + 0*n. Factor q(h).
3*h*(h - 1)*(4*h + 1)/2
Suppose -2/5*m**3 - 2*m - 8/5*m**2 - 4/5 = 0. Calculate m.
-2, -1
Let n(o) be the first derivative of -o**6/8 - 21*o**5/20 - 45*o**4/16 - 9*o**3/4 - 65. Factor n(l).
-3*l**2*(l + 1)*(l + 3)**2/4
Let y(s) = s**2 - 5*s - 34. Let j be y(-4). Factor 2*g - 4 - 1/4*g**j.
-(g - 4)**2/4
Suppose 5*i + x - 15 = -0*i, -3*i + 31 = 5*x. Let 3*k**2 + i*k**3 + 3*k - 4*k**3 + 3*k**3 + 1 = 0. Calculate k.
-1
Factor -1/3*w**2 + 1 + 2/3*w.
-(w - 3)*(w + 1)/3
Let f(v) be the first derivative of -4*v**3/9 - 4*v**2/3 - 8. Suppose f(n) = 0. What is n?
-2, 0
Let y = 34 + -31. Let r(n) be the first derivative of -1/20*n**4 + y - 1/15*n**3 + 0*n + 0*n**2. Suppose r(t) = 0. Calculate t.
-1, 0
Let o(d) be the first derivative of d**6/165 + d**5/110 - d + 2. Let j(s) be the first derivative of o(s). Factor j(n).
2*n**3*(n + 1)/11
Let d be (-80)/(-6) + 10/15. Suppose -i - 3*v + 29 = 0, 5*i - 89 = -v - d. Suppose -2*f - 5 - 7*f + f + i*f**2 - 4*f**3 - 3 = 0. Calculate f.
-1/2, 2
Let h(l) be the first derivative of 0*l - 1 - 7/18*l**3 - 1/10*l**5 - 1/6*l**2 - 1/3*l**4. Factor h(v).
-v*(v + 1)**2*(3*v + 2)/6
Let r(d) be the third derivative of 0*d**3 + 1/40*d**6 - 6*d**2 + 0*d - 1/70*d**7 + 0*d**4 + 0 + 0*d**5. Determine u so that r(u) = 0.
0, 1
Let m(w) be the second derivative of -w**7/21 + w**5/10 - 9*w. Factor m(l).
-2*l**3*(l - 1)*(l + 1)
Let p(g) be the first derivative of 1/75*g**6 + 0*g**2 + 0*g**3 - 1/30*g**4 - 2*g + 0*g**5 + 3. Let a(y) be the first derivative of p(y). Factor a(f).
2*f**2*(f - 1)*(f + 1)/5
Let c be (3/(-2))/((-135)/360). Factor 1/2*x**5 - 1/2*x**2 + 0 + 0*x - 3/2*x**c + 3/2*x**3.
x**2*(x - 1)**3/2
Let z(v) = 53*v**3 + 43*v**2 + 5*v. Let p(x) = -50*x**3 + 2*x**2 - 58*x**2 - 11*x - 55*x**3 - 29*x**2. Let c(d) = -3*p(d) - 5*z(d). Let c(r) = 0. What is r?
-2/5, 0
Let q(b) = 2*b 