te v.
0, 1, 5
Let c(p) = -38*p - 452. Let r be c(-12). Let d(j) be the first derivative of 0*j - 3/20*j**5 + 5/16*j**r + 0*j**2 + 1/6*j**3 - 7. Factor d(k).
-k**2*(k - 2)*(3*k + 1)/4
Let g(t) = -2*t + 38. Let k be g(18). Solve -4 + 2*f**3 + 1 + k*f**3 + 3*f**2 - 3*f - f**3 = 0.
-1, 1
Solve -5/2*q**2 + 0 + 3*q - 1/2*q**3 = 0 for q.
-6, 0, 1
Factor 7/3*x + 1/3*x**3 - 5/3*x**2 - 1.
(x - 3)*(x - 1)**2/3
Let i(y) be the third derivative of 0 + 0*y - 10*y**2 - 1/30*y**5 - 2/3*y**3 - 1/4*y**4. Suppose i(r) = 0. What is r?
-2, -1
Let n(t) = 2*t - 3. Let x(h) = -2*h + 2. Let v(i) = 3*n(i) + 2*x(i). Let g be v(4). Factor -5*j**4 + 3*j**4 + g*j**4 - 2*j**4.
-j**4
Let u(v) be the second derivative of v**7/840 - v**6/120 + 13*v**4/6 + v. Let k(c) be the third derivative of u(c). Factor k(y).
3*y*(y - 2)
Factor 12 + 2*i**2 - 51*i - 26*i + 63*i.
2*(i - 6)*(i - 1)
Let h(a) be the second derivative of 35*a**4/12 - 265*a**3/2 - 115*a**2 - 169*a. Factor h(n).
5*(n - 23)*(7*n + 2)
Let g be (-136)/(-24) - (-112)/(-42). Factor 0*i**2 + 2/7*i**4 + 6/7*i**g + 0 - 8/7*i.
2*i*(i - 1)*(i + 2)**2/7
Let r(p) = -p**2 + 7*p + 4. Suppose -16*h = -11*h - 35. Let d be r(h). Determine y so that -7*y - d*y**2 - 2*y - 4 + y = 0.
-1
Let u be 15/2 + (-4)/(-8). Let l(b) be the first derivative of b**5 - 10*b**3 + 28*b**2 - u*b**2 + 7 - 15*b + 1 + 5. Factor l(n).
5*(n - 1)**3*(n + 3)
Let p = 4015/7076 - 43/116. Let c = 210/793 + p. Find r, given that -6/13*r**2 + c*r**4 - 14/13*r**3 + 0 + 10/13*r**5 + 4/13*r = 0.
-1, 0, 2/5, 1
Let w(n) be the first derivative of n**6/240 + n**5/20 + n**4/4 - 20*n**3/3 - 15. Let o(i) be the third derivative of w(i). Determine g, given that o(g) = 0.
-2
Let r(z) be the third derivative of -z**5/60 - 7*z**4/6 - 98*z**3/3 - z**2 - 2. Factor r(f).
-(f + 14)**2
Let h(s) be the second derivative of 0*s**3 - 2/21*s**4 + 0*s**2 - 4*s + 0 - 1/105*s**6 - 2/35*s**5. Factor h(a).
-2*a**2*(a + 2)**2/7
Let q(y) be the second derivative of -y**2/2 - 37*y. Let g(c) = -27*c**2 - 29*c - 8. Let u(w) = g(w) - 6*q(w). Factor u(t).
-(t + 1)*(27*t + 2)
Let c(f) be the second derivative of f**6/120 - f**5/20 - f**4/24 + f**3/2 + 17*f**2/2 + 12*f. Let w(u) be the first derivative of c(u). Factor w(d).
(d - 3)*(d - 1)*(d + 1)
Let h(n) be the first derivative of -3*n**5/5 + 45*n**4/4 - 49*n**3 + 171*n**2/2 - 66*n - 39. Factor h(j).
-3*(j - 11)*(j - 2)*(j - 1)**2
Let k(z) be the first derivative of 2*z**3/21 - 3*z**2/7 - 8*z/7 + 98. Factor k(s).
2*(s - 4)*(s + 1)/7
Let f(r) be the third derivative of r**7/630 + r**6/180 - r**5/15 + r**4/3 + 8*r**2. Let j(u) be the second derivative of f(u). Factor j(w).
4*(w - 1)*(w + 2)
Let b(o) = -o**4 - 257*o**3 - 3379*o**2 + 3645*o - 4. Let s(f) = -255*f**3 - 3380*f**2 + 3645*f - 5. Let w(j) = -5*b(j) + 4*s(j). Factor w(y).
5*y*(y - 1)*(y + 27)**2
Let u(z) be the second derivative of -1/90*z**6 + 1/3*z**3 - 11/36*z**4 + 0 + 0*z**2 - 39*z + 1/10*z**5. Factor u(n).
-n*(n - 3)*(n - 2)*(n - 1)/3
Let j(o) = -o - 2. Let l(s) = 5*s**3 + 20*s**2 - 228*s - 6. Let u(r) = -3*j(r) + l(r). Let u(g) = 0. Calculate g.
-9, 0, 5
Let o(v) be the third derivative of -v**5/90 - v**4/12 + 4*v**3/9 - 7*v**2 + 1. Factor o(q).
-2*(q - 1)*(q + 4)/3
Let v(r) be the first derivative of 2*r**6/21 - 12*r**5/35 - 10*r**4/7 + 208*r**3/21 - 144*r**2/7 + 128*r/7 + 106. Factor v(a).
4*(a - 2)**3*(a - 1)*(a + 4)/7
Let h be ((-6)/(-10))/(576/2160). Factor 1/4*p**3 + 3/2*p**2 + h*p + 0.
p*(p + 3)**2/4
Suppose 0 = i + 2*o + 8, -2*i - o + 5 = 3*i. Factor 21/2 - 87/2*f + 6*f**i.
3*(f - 7)*(4*f - 1)/2
Factor 55*b - 2*b**3 - 24 + 50*b - 123*b + 64*b - 20*b**2.
-2*(b - 1)**2*(b + 12)
Let q be 6/8 + 195/60. Let -3*h**3 + 3*h**2 + 4 + 19*h**q - 4 + 3*h - 22*h**4 = 0. Calculate h.
-1, 0, 1
Let s(r) = 4*r**2. Let t(q) = 18*q**2 - 58*q - 4. Let w(m) = 6*s(m) + 2*t(m). Suppose w(b) = 0. Calculate b.
-1/15, 2
Suppose -n - 4 + 12 = 0. Suppose -5*o - 3 = 2*x - 17, -x = -5*o + n. Factor -8*u - 2/3*u**3 + 4*u**o + 16/3.
-2*(u - 2)**3/3
Find x, given that -2/9*x**4 - 8/9*x**3 + 14/9*x**2 + 0 + 20/9*x = 0.
-5, -1, 0, 2
Let s(o) be the third derivative of -1/390*o**6 + 0 + 1/390*o**5 + 0*o**3 + 0*o**4 + 11*o**2 + 0*o. Factor s(t).
-2*t**2*(2*t - 1)/13
Let s(t) = -79*t - 235. Let z be s(-3). What is w in 8/9*w - 2/3 - 2/9*w**z = 0?
1, 3
Let k(i) be the first derivative of 0*i**3 - 27 + 1/6*i**6 + 0*i**2 + 1/4*i**4 + 0*i + 2/5*i**5. Let k(a) = 0. Calculate a.
-1, 0
Determine a so that 32/11*a + 114/11 - 2/11*a**2 = 0.
-3, 19
Let u = -9 + 6. Let j(t) = 3*t**5 + t**4 + 2*t**3 - 2*t. Let g(b) = 4*b**5 + 2*b**3 - 3*b. Let c(l) = u*j(l) + 2*g(l). Solve c(h) = 0.
-2, -1, 0
Let x(r) be the third derivative of r**9/35280 + r**8/7840 + r**7/5880 - 31*r**4/24 + 7*r**2 - 3*r. Let q(j) be the second derivative of x(j). Factor q(b).
3*b**2*(b + 1)**2/7
Let u(t) be the second derivative of -7*t**5/100 - 2*t**4/15 + 13*t**3/30 + t**2/5 + 22*t + 2. Find y such that u(y) = 0.
-2, -1/7, 1
Let g(z) be the third derivative of -z**6/36 - 5*z**5/24 + 65*z**4/36 - 5*z**3/3 + z**2 - 8*z. Factor g(n).
-5*(n - 2)*(n + 6)*(4*n - 1)/6
Let l = 20 - 17. Suppose -3 = r + 2*i + 3, 4*i = 5*r - 40. Determine u, given that -3*u + 2 - l*u**2 - 3*u + r*u**3 + 2*u**3 + u**2 = 0.
-1, 1/3, 1
Let i(d) be the third derivative of -d**5/120 - d**4/8 + 55*d**3/12 + 115*d**2. Factor i(m).
-(m - 5)*(m + 11)/2
Let q(b) be the second derivative of 8*b**6/3 - 2*b**5 - 25*b**4/4 + 20*b**3/3 - 5*b**2/2 - 493*b. Suppose q(g) = 0. What is g?
-1, 1/4, 1
Let i(z) = 26*z**3 + 78*z**2 - 55*z + 7. Let m(v) = 14*v**3 + 40*v**2 - 28*v + 4. Let b(u) = -4*i(u) + 7*m(u). Factor b(n).
-2*n*(n + 6)*(3*n - 2)
Let b be (1 + 6)/(1 + -2). Let z(w) = w**2 + 6*w + 5. Let a(s) be the first derivative of s**2 + 2*s - 40. Let g(v) = b*a(v) + 2*z(v). What is h in g(h) = 0?
-1, 2
Let p(q) = -9*q**3 - 30*q**2 - 6*q. Let u(z) = -17*z - 51*z**2 + 17*z**3 - 39*z**2 - 43*z**3. Let t(v) = 17*p(v) - 6*u(v). Factor t(c).
3*c**2*(c + 10)
Let b(z) be the third derivative of -z**6/720 + z**5/90 - z**4/48 - 2*z**2 + 35*z. Factor b(o).
-o*(o - 3)*(o - 1)/6
Let v(a) be the second derivative of -3*a**3 + 0 + 12*a + 1/4*a**4 + 27/2*a**2. Let v(f) = 0. Calculate f.
3
Suppose 1/4*k**3 - 17/4*k - 5/4*k**2 + 21/4 = 0. What is k?
-3, 1, 7
Factor 2/7*x**2 - 104/7 - 18/7*x.
2*(x - 13)*(x + 4)/7
Factor -20*p**3 - 18*p**3 - 18*p**2 + 500*p**5 - 22*p**4 - 502*p**5.
-2*p**2*(p + 1)**2*(p + 9)
Let r(c) be the first derivative of -3*c**2 - 3*c**3 - 3/4*c**4 - 7 + 0*c. Factor r(z).
-3*z*(z + 1)*(z + 2)
Let r(y) be the first derivative of -y**4/8 + 11*y**3/6 - 39*y**2/4 + 45*y/2 + 436. Factor r(c).
-(c - 5)*(c - 3)**2/2
Let m(u) = 375*u**2 - 65*u + 45. Let p(h) = 5*h - 17*h**2 - 4*h + 2*h - 2 + 0*h**2. Let f(o) = -2*m(o) - 45*p(o). Factor f(n).
5*n*(3*n - 1)
Let v(y) be the third derivative of -y**7/1470 - 17*y**6/420 + 37*y**5/140 - y**4/42 - 74*y**3/21 - 290*y**2. Find x, given that v(x) = 0.
-37, -1, 2
Suppose b = -4, 3*b = -0*i + 5*i - 12. Factor 1/2*d**3 + 3/2*d**4 - 1/2*d + i - 3/2*d**2.
d*(d - 1)*(d + 1)*(3*d + 1)/2
Let c = 9732/5 + -1946. Let t = 322 + -1604/5. Let -8/5*g - t*g**2 - c = 0. What is g?
-1, -1/3
Let r(s) be the first derivative of 3*s**5/5 + 9*s**4/4 - s**3 - 9*s**2/2 - 2. Find x such that r(x) = 0.
-3, -1, 0, 1
Let p(a) be the third derivative of a**5/20 + 15*a**4/8 + 7*a**3 - a**2. Solve p(o) = 0 for o.
-14, -1
Let 176*j**4 + 0 - 172*j**4 + 6*j**3 + 0 - 2*j**5 = 0. What is j?
-1, 0, 3
Let k(g) be the first derivative of 0*g + 3/10*g**4 - 2/3*g**3 - 2/5*g**2 + 1. Factor k(a).
2*a*(a - 2)*(3*a + 1)/5
Factor 13/2*i - 3 - 4*i**2 + 1/2*i**3.
(i - 6)*(i - 1)**2/2
Let o(u) be the first derivative of -1/2*u**6 - 7 + u**3 + 9/5*u**5 + 0*u + 0*u**2 - 9/4*u**4. Factor o(v).
-3*v**2*(v - 1)**3
Solve 24/5*w**3 + 2/5*w**2 - 12/5*w + 0 + 2*w**4 = 0 for w.
-2, -1, 0, 3/5
Let c(f) be the first derivative of -f**4 - 28*f**3/3 - 22*f**2 - 20*f - 58. Factor c(v).
-4*(v + 1)**2*(v + 5)
Let t(m) be the third derivative of -m**5/45 + 17*m**4/24 + 13*m**3/18 + 142*m**2. Let t(y) = 0. Calculate y.
-1/4, 13
Suppose -178 - 9*k + 359 - 11*k**2 - 183 + 4*k**4 = 0. What is k?
-1, -1/2, 2
Let m be 1 + 6/(-2) + 5. Suppose 8 = m*d + d. Factor 8*a**3 + 2*a**2 + 2*a - 8*a + 3*a**d - 2*a**5 - a**2 - 4.
-2*(a - 2