t(p).
2*p*(2*p + 1)*(3*p + 1)/7
Let o(c) = 2*c**2 + 14*c + 8. Let g(d) = -5*d**2 + d. Let l be g(-1). Let w(k) = 2*k**2 + 15*k + 8. Let t(z) = l*w(z) + 7*o(z). Factor t(v).
2*(v + 2)**2
Factor 0*l**3 + 1/4*l**5 + 0 + 0*l + 0*l**2 - 1/4*l**4.
l**4*(l - 1)/4
Let h(a) be the first derivative of 11 + 3/5*a**5 + 3/2*a**2 - a - 1/6*a**6 - 2/3*a**3 - 1/2*a**4. Suppose h(w) = 0. Calculate w.
-1, 1
Let z = 14/15 + -8/15. Factor -2/5 - 6/5*k - 6/5*k**2 - z*k**3.
-2*(k + 1)**3/5
Let p(o) = -o**2 - 18*o - 36. Let j(f) = f. Let y(d) = -30*j(d) - 5*p(d). Suppose y(m) = 0. What is m?
-6
Let a(y) be the first derivative of -y**7/420 - y**6/45 - y**5/12 - y**4/6 - 5*y**3/3 - 7. Let w(k) be the third derivative of a(k). Let w(g) = 0. What is g?
-2, -1
Let v = 1333/18 + -74. Let t(s) be the second derivative of 1/3*s**3 + 2/3*s**2 + 0 + v*s**4 + 2*s. Factor t(q).
2*(q + 1)*(q + 2)/3
Let y(n) be the first derivative of n**3/3 - n**2/2 + 3. Solve y(d) = 0.
0, 1
Let y be (2 + -3)/(-1) + 11 + -10. Let k(g) be the second derivative of g + 7/15*g**3 - 1/6*g**4 - 2/5*g**y + 0. Factor k(d).
-2*(d - 1)*(5*d - 2)/5
What is x in 13*x - 3/2*x**2 - 8 = 0?
2/3, 8
Let j(f) be the second derivative of -2/39*f**3 - 2*f + 1/78*f**4 + 1/13*f**2 + 0. Factor j(w).
2*(w - 1)**2/13
Factor 15*c**3 + 5*c**2 + 17*c**3 - 5 - 27*c**3 - 5*c.
5*(c - 1)*(c + 1)**2
Let t(f) = 20*f**4 - 11*f**3 - 5*f**2 + 5*f + 5. Let r(i) = -21*i**4 + 12*i**3 + 6*i**2 - 6*i - 6. Let l(a) = 5*r(a) + 6*t(a). Factor l(p).
3*p**3*(5*p - 2)
Let i(l) be the third derivative of -l**8/1232 - l**7/165 - 13*l**6/660 - 2*l**5/55 - l**4/24 - l**3/33 - 23*l**2. Factor i(g).
-(g + 1)**4*(3*g + 2)/11
Let p(v) = v**2 + 9*v + 6. Let q be p(-7). Let o = -5 - q. Factor 2 + 0*t**3 + 2*t - 3*t**2 + t**o + 2*t + t**4 - 5*t.
(t - 1)**2*(t + 1)*(t + 2)
Let r(p) be the third derivative of p**5/420 - p**3/42 - 6*p**2. Factor r(i).
(i - 1)*(i + 1)/7
Determine h so that -7/3*h**3 - 2/3*h**2 + 0 + 0*h = 0.
-2/7, 0
Let p(d) = -d**3 + 7*d**2 - 7*d + 8. Let a be p(6). Suppose y + y**3 - y + 2*y**a = 0. What is y?
-2, 0
Let q(d) = d + 20. Let n be q(-17). Let g(c) be the second derivative of 1/30*c**6 - 1/5*c**5 + 5/12*c**4 + 0*c**2 - 3*c + 0 - 1/3*c**n. Factor g(r).
r*(r - 2)*(r - 1)**2
Suppose 0 = -8*h + 5*h + 216. Let v be (2/(-6))/((-16)/h). Factor -3/2*l - 1/2*l**3 + v*l**2 + 1/2.
-(l - 1)**3/2
Let v(a) be the second derivative of -a**4/54 + a**2/9 - 12*a. Solve v(x) = 0.
-1, 1
Factor -54/11*w**2 - 4/11 + 58/11*w.
-2*(w - 1)*(27*w - 2)/11
Let w(y) = -y**2 + 4*y + 7. Let g = 8 + -3. Let t be w(g). What is b in 2*b**2 - 4 + 2*b**3 + 8*b**t - 10*b**2 - 6*b = 0?
-1, 2
Let c(g) = -157*g**4 + 95*g**3 + 59*g**2 + 13*g. Let i(p) = p**4 + p**3 - p**2 + p. Suppose 0 = -6*y + y + 25. Let o(u) = y*i(u) - c(u). Factor o(z).
2*z*(z - 1)*(9*z + 2)**2
Let y = -132 - -400/3. Solve 2/3 + 2/3*n**4 + 0*n**3 + 0*n - y*n**2 = 0 for n.
-1, 1
Solve -3*a**4 + 2*a**3 + 6*a**3 + 7*a**4 - 4*a**5 = 0 for a.
-1, 0, 2
Let w(i) be the first derivative of -i**7/210 - i**6/90 + i**5/6 - i**4/2 + 5*i**3/3 + 6. Let p(r) be the third derivative of w(r). Solve p(q) = 0 for q.
-3, 1
Let y(b) = 2*b - 4. Let d be y(2). Factor d*s + 0 - 2/3*s**2.
-2*s**2/3
Let q = 4 + -1. Factor 2*n - n**2 + 2*n**2 - q*n.
n*(n - 1)
Let r be 2*16/(-40)*(-30)/8. Suppose 0 + r*v**2 + 5*v**4 - 1/2*v - 3/2*v**5 - 6*v**3 = 0. What is v?
0, 1/3, 1
Let a = -121 + 121. Factor 2/3*h**3 + a*h - 2/3*h**2 + 0.
2*h**2*(h - 1)/3
Let v(r) be the first derivative of r**6/120 + r**5/40 - r**4/4 - 5*r**3/3 + 3. Let k(t) be the third derivative of v(t). Factor k(d).
3*(d - 1)*(d + 2)
Suppose -4*g - r = r - 30, -2*g + 4*r = 10. Let o(x) be the second derivative of 1/30*x**g + 0*x**3 + 0*x**2 + 0 + x + 1/18*x**4. Find p such that o(p) = 0.
-1, 0
Let l = 9 + -25/3. Suppose -2/3*u**2 + 4/3 - l*u = 0. What is u?
-2, 1
Let i be -3 - -106*22/20. Let x = 114 - i. Factor x*p**2 + 1/5*p**4 - 3/5*p**3 + 0*p + 0.
p**2*(p - 2)*(p - 1)/5
Let j(s) = -3*s**2 - s + 1. Let a be j(-2). Let w be a/(-27) - (-1)/15. Factor 2/5*g**2 + w*g**3 - 2/5 - 2/5*g.
2*(g - 1)*(g + 1)**2/5
Let b(n) be the second derivative of n**4/12 - 3*n**3 + 81*n**2/2 - 6*n. Factor b(r).
(r - 9)**2
Let b = 17785/3 + -5851. Let x = 79 - b. Determine d, given that -x*d - d**2 - 2/3 = 0.
-1, -2/3
Let d be 2/(3*4*3/36). Let k(r) be the first derivative of 1/6*r**3 - 1 - 1/10*r**5 - 1/12*r**6 + 0*r**d + 1/8*r**4 + 0*r. Factor k(t).
-t**2*(t - 1)*(t + 1)**2/2
Suppose 3*v - v = 6. Let r = 7 - v. Let 0*z + 2*z**3 + r*z**4 + 0*z**4 + 2*z**5 + 0*z = 0. Calculate z.
-1, 0
Let a(c) be the third derivative of 2/3*c**3 + 0 - 3*c**2 + 5/6*c**4 + 0*c + 1/5*c**5 - 8/105*c**7 - 1/6*c**6. Determine x so that a(x) = 0.
-1, -1/4, 1
Let h = 5/3243 + 11152/11891. Let n = h - 3/11. What is t in 0 + 2/3*t - n*t**3 + 0*t**2 = 0?
-1, 0, 1
Let i be 18/10 - 2/(-10). Let q be 4 - (-1)/i*-2. Factor -3/2*t**2 - 1/2*t + 1/2*t**q + 3/2*t**4 + 0.
t*(t - 1)*(t + 1)*(3*t + 1)/2
Let m(r) be the second derivative of 2*r + 0 + r**3 - 2*r**2 - 1/10*r**5 + 0*r**4. Factor m(i).
-2*(i - 1)**2*(i + 2)
Factor 3/8*c + 0 + 1/8*c**3 - 1/2*c**2.
c*(c - 3)*(c - 1)/8
Let i(r) be the second derivative of 1/9*r**3 - 2/3*r**2 - 1/15*r**5 + 6*r + 1/63*r**7 + 2/9*r**4 + 0 - 2/45*r**6. Determine w, given that i(w) = 0.
-1, 1, 2
Let r = -1073/5 - -215. Factor r*f + 2/5*f**3 - 4/5*f**2 + 0.
2*f*(f - 1)**2/5
Suppose -4*u - 14 = c, -c + 6*u = u - 22. Let t be c/(6/9) - -2. Determine x, given that 5 + x**2 + x**2 + x - t = 0.
-1/2, 0
Factor 0 - 8/3*w**4 - 2/3*w**5 - 4*w**3 - 2/3*w - 8/3*w**2.
-2*w*(w + 1)**4/3
Let a(x) be the second derivative of x**7/84 - x**6/60 - x**5/40 + x**4/24 + 7*x. Factor a(n).
n**2*(n - 1)**2*(n + 1)/2
Let s = 104 + -102. Find m, given that 10/7*m**s + 0 - 6/7*m**3 - 4/7*m = 0.
0, 2/3, 1
Solve 2/3*g**2 + 0*g + 0 + 2/3*g**3 + 1/6*g**4 = 0.
-2, 0
Let x(u) be the third derivative of -u**7/1785 + u**6/1020 + u**5/510 - u**4/204 + 26*u**2. Factor x(c).
-2*c*(c - 1)**2*(c + 1)/17
Let i(d) = -3*d - 4*d**3 + 2*d + 0*d + 3*d**3 - 1. Let f(k) = 4*k**4 - 8*k**3 - 12*k**2 + 4. Let m(g) = f(g) - 4*i(g). Determine t, given that m(t) = 0.
-1, 1, 2
Let j(f) = -2*f**3 + 13*f**2 + 2*f - 8. Let b(y) = -6*y**3 + 40*y**2 + 6*y - 24. Let q(n) = -5*b(n) + 16*j(n). Suppose q(r) = 0. Calculate r.
-1, 1, 4
Let t be -5 - ((-4)/(-5) - 6). Factor 2/5*m - t*m**2 - 1/5.
-(m - 1)**2/5
Let u(h) be the second derivative of -h**9/9072 - h**8/1260 - h**7/504 - h**6/540 - h**3/3 - 4*h. Let o(w) be the second derivative of u(w). Factor o(p).
-p**2*(p + 1)**2*(p + 2)/3
Let n(z) be the second derivative of z**5/100 + z**4/20 - z**3/30 - 3*z**2/10 - 3*z. Factor n(o).
(o - 1)*(o + 1)*(o + 3)/5
Let p be (-2)/(-3) - 3/((-9)/(-2)). Factor 0*a + 2/9*a**4 - 2/9*a**5 + 0 + 0*a**2 + p*a**3.
-2*a**4*(a - 1)/9
Let x = -68/3 + 24. Suppose -10/3*t**3 + x + 0*t**2 + 10/3*t - 4/3*t**4 = 0. Calculate t.
-2, -1, -1/2, 1
Let o(b) be the third derivative of 0*b - 1/2*b**3 - 4*b**2 - 3/20*b**5 - 1/40*b**6 + 0 - 3/8*b**4. Factor o(w).
-3*(w + 1)**3
Factor 2/9*f**5 - 4/3 - 8/9*f**2 + 4/9*f**4 - 4/3*f**3 + 26/9*f.
2*(f - 1)**3*(f + 2)*(f + 3)/9
Factor 2/7*n**3 + 2/7*n - 4/7*n**2 + 0.
2*n*(n - 1)**2/7
Suppose 6 = 2*w, 4*w = -i - w + 15. Suppose 0 + i*a - 1/2*a**2 + 1/2*a**3 = 0. What is a?
0, 1
Let p = -199/3 + 67. Let o(m) be the second derivative of -5/3*m**3 - p*m**4 - 2*m - 2*m**2 - 1/10*m**5 + 0. Factor o(v).
-2*(v + 1)**2*(v + 2)
Let h = 9 + -9. Let b(y) be the third derivative of h + y**2 + 0*y**4 + 1/30*y**5 + 0*y - 1/3*y**3. Factor b(x).
2*(x - 1)*(x + 1)
Let r = -1065 + 1068. Solve 0*n + 2/3*n**r + 0 - 2/3*n**5 + 0*n**4 + 0*n**2 = 0.
-1, 0, 1
Let r(d) = 5*d**2 - 8*d + 3. Let v(y) = y**2 - 1. Let b(a) = r(a) - 3*v(a). Suppose b(s) = 0. What is s?
1, 3
Let s(f) = f**3 + 2*f**2 - 6*f - 3. Let b be s(-4). Let x = b + 23/2. Find w, given that 0 + w**2 + x*w + 1/2*w**3 = 0.
-1, 0
Suppose -t - 3*m + 38 = 4*t, 0 = 2*t + m - 16. Suppose -z = k + 2*k + t, -2*k = 2*z. Let z*i**3 + 2 + i**4 - 5*i - 9*i**2 + 10*i**4 - 4*i**4 = 0. What is i?
-1, 2/7, 1
Let 0*o**2 + 32/7 - 24/7*o + 2/7*o**3 = 0. What is o?
-4, 2
Let m(x) be the third derivative of x**6/120 - x**5/60 - x**4/24 + x**3/6 - 4*x**2. Factor m(c).
(c - 1)**2*(c + 1)
Let r be (6/(-15))/((-1)/(-5)). Le