+ 14 - 0. Let j(u) = f*x(u) + o*i(u). Let j(d) = 0. What is d?
-1
Let p(l) be the third derivative of -2*l**7/105 + 2*l**5/15 - 2*l**3/3 + 5*l**2 - 10*l. Factor p(y).
-4*(y - 1)**2*(y + 1)**2
Let d(w) be the third derivative of 0*w + 0*w**3 + 1/84*w**6 - 1/70*w**5 + 0 - 3*w**2 - 1/42*w**4. Factor d(z).
2*z*(z - 1)*(5*z + 2)/7
Let l(r) = -16*r**2 - 6*r + 21. Let c be 60/(-18)*(-12)/(-10). Let i(d) = -3*d**2 - d + 4. Let p(q) = c*l(q) + 22*i(q). Factor p(j).
-2*(j - 2)*(j + 1)
Suppose -273*t = -269*t. Let s(l) be the second derivative of t*l**3 - 1/30*l**5 + 0 + 0*l**2 + 1/63*l**7 + 0*l**6 - 3*l + 0*l**4. Factor s(b).
2*b**3*(b - 1)*(b + 1)/3
Factor -q + q**2 + 1/3 - 1/3*q**3.
-(q - 1)**3/3
Let f(s) be the third derivative of s**8/30240 + s**7/2520 + s**6/540 + s**5/20 - s**2. Let m(c) be the third derivative of f(c). Solve m(b) = 0.
-2, -1
Let j(z) be the second derivative of 0*z**5 + 1/30*z**3 + 0 - 3*z + 0*z**2 - 1/210*z**7 + 1/75*z**6 - 1/30*z**4. Let j(k) = 0. What is k?
-1, 0, 1
Factor -2*k**2 + 1/2*k**3 + 0 + 2*k.
k*(k - 2)**2/2
Suppose -20*m = 4 - 44. Let 2/9*y**3 - 2/9*y**m + 2/9 - 2/9*y = 0. What is y?
-1, 1
Suppose 4*a - 7*j + 2*j - 22 = 0, 0 = -3*j - 6. Factor 1/3*v**a + 1/3*v**2 - 1/3*v - 1/3.
(v - 1)*(v + 1)**2/3
Let u(w) = -w**3 - 4*w**2 - 4*w - 1. Let t be u(-3). Suppose -6 = -3*l - g, t*l - g - 3 = -2*g. Determine d, given that 0*d**2 + 2/7*d - 2/7*d**l + 0 = 0.
-1, 0, 1
Let m(a) be the first derivative of -a**3/6 - 2*a**2 - 8*a + 9. Factor m(j).
-(j + 4)**2/2
Factor 4*w - 4/3 + 7/3*w**2.
(w + 2)*(7*w - 2)/3
Let s(x) be the third derivative of -49/480*x**5 - 7/48*x**4 - 1/12*x**3 - 9*x**2 + 0*x + 0. Factor s(j).
-(7*j + 2)**2/8
Let x(u) be the second derivative of u**5/20 - u**4/6 + 2*u. Factor x(w).
w**2*(w - 2)
Suppose 4*c - 11 - 7 = b, 3*b = 4*c - 14. Factor -2/7*o**b - 4/7*o - 2/7.
-2*(o + 1)**2/7
Let t(m) be the third derivative of -m**9/45360 + m**8/20160 + m**7/7560 - m**6/2160 + m**4/8 + 3*m**2. Let a(d) be the second derivative of t(d). Factor a(n).
-n*(n - 1)**2*(n + 1)/3
Let p = -55/4 - -287/20. What is w in -6/5 + p*w**3 - 12/5*w**2 + 3*w = 0?
1, 2
Let 1/3*g - 1/3 - 2/3*g**4 + g**2 - 1/3*g**3 = 0. Calculate g.
-1, 1/2, 1
Suppose 2*b + 40 = -4*i, 0 = i - 3*i + b - 16. Let w be (3/(-9))/(1/i). Suppose 0*n**3 - w*n + 2*n + n**3 = 0. Calculate n.
-1, 0, 1
Factor -48*l**4 - 33*l**5 + l**5 + 30*l**3 - 13*l**2 + 9*l**2.
-2*l**2*(l + 2)*(4*l - 1)**2
Let q be (-32)/(-39) + (-242)/1573. Find t, given that -1/3*t - 1/3*t**2 + q = 0.
-2, 1
Let k(r) = -r + 1. Let n(g) = g - 1. Let z(v) = 5*k(v) + 4*n(v). Let t be z(-7). What is o in 6*o**2 - 4 + 12*o + t + 4 + o**3 = 0?
-2
Suppose -51 = -6*o + 3*o. Solve o*f**2 - f - 3*f + 20*f**3 - 15*f**2 = 0 for f.
-1/2, 0, 2/5
Let p(y) be the second derivative of 1/6*y**3 + y**2 + 2*y - 1/20*y**5 - 1/6*y**4 + 0. Factor p(b).
-(b - 1)*(b + 1)*(b + 2)
Let s(h) be the third derivative of -1/30*h**6 + 4*h**2 - 1/30*h**5 + 0 + 1/12*h**4 + 0*h**3 + 0*h. Factor s(k).
-2*k*(k + 1)*(2*k - 1)
Let a(z) = 19*z**2 + 13*z + 8. Let i(w) = -9*w**2 - 7*w - 4. Let k(p) = -6*a(p) - 14*i(p). Factor k(r).
4*(r + 1)*(3*r + 2)
Suppose 16*l - 2*l - 3*l**3 - 13*l - 10*l - 12*l**2 = 0. Calculate l.
-3, -1, 0
Let g = 18 + -16. What is v in -2/5*v + 0 - 9/5*v**g - 7/5*v**3 = 0?
-1, -2/7, 0
What is s in -s - 5*s**4 - s - 9*s**3 - 7*s**2 + 2*s**5 - s**5 - 2*s**5 = 0?
-2, -1, 0
Let z = 7 + -4. Suppose 0*n + 20 = 4*n, -z*j + 2*n = 1. Factor f - j*f**2 + 2*f**2 + 2*f**2.
f*(f + 1)
Let r = 406 + -12179/30. Let w(s) be the second derivative of -1/45*s**6 + 0*s**3 + 0 - 1/63*s**7 + r*s**5 + 1/18*s**4 + 0*s**2 + s. Factor w(u).
-2*u**2*(u - 1)*(u + 1)**2/3
Let i(k) = -k**4 - k**3 + k**2 + 1. Let m(x) = -6*x**4 - 4*x**3 + 4*x**2 + 4. Let j(d) = 4*i(d) - m(d). Factor j(c).
2*c**4
Factor c**4 - 2*c**3 + 9 - 9 + 2*c**4 - c**2.
c**2*(c - 1)*(3*c + 1)
Let h be (-4)/(-26) + (-852)/(-208). Let k = h + -4. Factor -k*f**4 + 1/4*f**5 + 1/2*f**2 - 1/2*f**3 - 1/4 + 1/4*f.
(f - 1)**3*(f + 1)**2/4
Factor 1/2*d**4 - 1/2*d**2 - 1/2*d**3 + 0 + 0*d + 1/2*d**5.
d**2*(d - 1)*(d + 1)**2/2
Let t = -126 + 126. Let f(o) be the second derivative of -1/5*o**5 + 0 + 1/3*o**3 + t*o**6 + 1/21*o**7 + 0*o**4 + 0*o**2 + 2*o. Determine v so that f(v) = 0.
-1, 0, 1
Suppose -3*o - 3*l + 0*l = -75, -o + 25 = 3*l. Suppose -4*r = -o + 9. Factor -5*g**3 + g**3 + 2*g**2 + g**4 + g**r.
2*g**2*(g - 1)**2
Let p(h) be the first derivative of h**6/3 - 8*h**5/5 + 3*h**4 - 8*h**3/3 + h**2 - 1. Factor p(g).
2*g*(g - 1)**4
Suppose -3*l + 3 = -6. Factor 6*x**3 + 3*x**4 - l*x**3 - 2*x**2 - 4*x**4.
-x**2*(x - 2)*(x - 1)
Let c = -5/54 - -467/378. Let m be (-24)/14*(-2)/3. Let 40/7*y - 34/7*y**2 - m + c*y**3 = 0. Calculate y.
1/4, 2
Let n(m) = 13*m**2 - 15*m - 9. Let l(i) = 7*i**2 - 8*i - 5. Suppose 0 = -4*v - 26 + 70. Let b(t) = v*l(t) - 6*n(t). Factor b(r).
-(r - 1)**2
Factor -7*m**3 + 16*m**2 + 0*m**3 + 3*m**3 - 16*m.
-4*m*(m - 2)**2
Suppose -n - 5 = -9. Let p(c) be the second derivative of -1/105*c**7 + 1/25*c**6 - 1/15*c**n + 0 + 1/5*c**3 - 1/5*c**2 - 2*c - 1/25*c**5. Factor p(s).
-2*(s - 1)**4*(s + 1)/5
Let o(n) be the first derivative of 3*n**5/40 - 15*n**4/32 + 7*n**3/8 - 9*n**2/16 - 45. Factor o(i).
3*i*(i - 3)*(i - 1)**2/8
Let c = 18 - 14. Let s(z) be the second derivative of z - 1/42*z**c + 0*z**2 + 0 - 1/21*z**3. Factor s(o).
-2*o*(o + 1)/7
Let c(g) be the first derivative of -g**4/6 + g**2 + 2*g + 2. Let x(j) be the first derivative of c(j). Factor x(f).
-2*(f - 1)*(f + 1)
Let d = -6456/5 - -1296. Let k(h) = h**2 + 5*h - 4. Let g be k(-6). Let -2/5*m**3 + 12/5*m**g + 16/5 - d*m = 0. What is m?
2
Let v = -6 - -10. Let q(n) be the first derivative of -2 - 2/3*n**3 - n**v - 1/8*n**2 + 0*n. Find r, given that q(r) = 0.
-1/4, 0
Factor -6/5*v - 3/5*v**2 - 3/5.
-3*(v + 1)**2/5
Suppose 2*u + 0 = -3*l + 5, l = 1. Let f(r) = -7 + 3 - 8*r + u. Let n(o) = o**2 - 15*o - 5. Let d(x) = -7*f(x) + 4*n(x). What is j in d(j) = 0?
1/2
Let i(d) be the first derivative of -d**3/15 + d**2/10 + 6*d/5 + 39. Factor i(g).
-(g - 3)*(g + 2)/5
Suppose 4*t = 106 - 22. Let r = t + -19. Factor 2/5*d + 4/5*d**r + 0.
2*d*(2*d + 1)/5
Suppose -15 = 3*h - 5*x, -4*h - 4*x = -7*x + 9. Let a be (h/2)/(2 + -1). Let a + 2/3*i**4 + 0*i + 0*i**2 + 2/3*i**3 = 0. What is i?
-1, 0
Let i(g) = g**4 - g**3 + g**2 - g + 1. Let t(x) = -x**5 + x**4 + 4*x**2 - 3*x + 1. Let c(f) = -6*i(f) + 3*t(f). Factor c(z).
-3*(z - 1)**2*(z + 1)**3
Let c(n) be the first derivative of -5*n**5/84 + 5*n**4/84 - n**3/42 + 4*n**2 - 7. Let m(l) be the second derivative of c(l). Factor m(r).
-(5*r - 1)**2/7
Factor -3*s - 4 + 0*s**2 - 4*s**2 + 5*s**2.
(s - 4)*(s + 1)
Let m(r) be the first derivative of 0*r + 0*r**3 - 1/16*r**4 - 1 + 0*r**2 - 1/20*r**5. Factor m(c).
-c**3*(c + 1)/4
Suppose 5*k = -v - 9 + 5, v = 4*k - 4. Suppose 1/5*x**4 + 0*x**2 + k + 0*x - 1/5*x**3 = 0. Calculate x.
0, 1
Factor -4*a**3 - a**3 - 26*a**2 + a**2 + 25*a**4 + 5*a.
5*a*(a - 1)*(a + 1)*(5*a - 1)
Let c be ((-12)/9)/(3/(-9)). Suppose 0*v + 3*v - 18 = -b, c*b - 37 = -5*v. Factor 2/7*o**4 + 0*o + 2/7*o**2 - 4/7*o**b + 0.
2*o**2*(o - 1)**2/7
Suppose 46*o + 12*o**2 - 46*o - 15*o**4 + 3*o**5 - 21*o**2 + 21*o**3 = 0. What is o?
0, 1, 3
Let m(d) = d**3 + 7*d**2 + 4*d - 6. Let j be m(-6). Let u(x) = -x**2 + 7*x - 4. Let i be u(j). Factor 6/5*g - 2/5*g**i - 4/5.
-2*(g - 2)*(g - 1)/5
Let a be -1 - 6*(-1)/2. Solve -h**2 + 0*h**a - 20*h**3 + 19*h**3 = 0 for h.
-1, 0
Factor -24565*g**2 - 1/2*g**5 - 417605/2*g - 85/2*g**4 - 1419857/2 - 1445*g**3.
-(g + 17)**5/2
Let f = 575 + -573. Suppose 0 - 3/4*r**4 - 15/4*r**f + 3*r**3 + 3/2*r = 0. Calculate r.
0, 1, 2
Let b(w) be the first derivative of w**6/540 + w**5/135 - w**4/27 - 8*w**3/27 - 2*w**2 + 4. Let a(u) be the second derivative of b(u). Factor a(i).
2*(i - 2)*(i + 2)**2/9
Find s, given that -3/5*s**3 + 12/5*s - 24/5 + 6/5*s**2 = 0.
-2, 2
Let u = -19 - -213/11. Solve u*s**3 + 0*s + 2/11*s**4 + 0 + 2/11*s**2 = 0 for s.
-1, 0
Let t(h) be the first derivative of h**5/60 + h**4/24 + 5*h**2/2 + 9. Let d(i) be the second derivative of t(i). Find q, given that d(q) = 0.
-1, 0
Factor 2/7*y**3 + 2/7*y**4 + 0*y**2 + 0*y + 0.
2*y**3*(y + 1)/7
Let d(f) be the first derivative of -f**3 - 3*f**2/2 + 35. Factor d(c).
-3*c*(c + 1)
Let y(r) be th