4/5*l = 0.
-1, 0, 2
Let x(h) be the first derivative of -h**6/30 + h**5/5 - h**4/2 + 2*h**3/3 - h**2/2 - h - 2. Let j(y) be the first derivative of x(y). Let j(q) = 0. What is q?
1
Let v(k) = k**3 - 7*k**2 + 7*k - 2. Let o be v(6). Suppose -o*i = -5*i + 2. Factor -2*n + 4*n**i - n**2 - 2*n - n**2.
2*n*(n - 2)
Let s(m) = -m**4 + 5*m**3 - 13*m**2 + 5*m - 1. Let t(a) = -a**4 + 3*a**3 - 7*a**2 + 3*a - 1. Let d(x) = -3*s(x) + 5*t(x). Suppose d(v) = 0. Calculate v.
-1, 1
Let s(f) = -f**3 - 11*f**2 - 9*f + 12. Let z be s(-10). Let q(h) = -8*h**3 - 8*h**2 - 4*h + 2. Let k(v) = -v**2 + v - 1. Let p(c) = z*k(c) + q(c). Factor p(x).
-2*x*(x + 1)*(4*x + 1)
Let p = 3 + -2. Let o be 2*(-2)/4 + p. Solve 0 + 0*v**2 - 1/2*v**3 + 1/4*v**5 + o*v**4 + 1/4*v = 0 for v.
-1, 0, 1
Determine k so that 0*k - 2/7*k**2 - 2/7*k**3 + 0 = 0.
-1, 0
Let u(h) be the third derivative of -2*h**7/105 + h**6/30 - h**2. Factor u(v).
-4*v**3*(v - 1)
Let z = -21/115 + 18/23. Let q(x) be the first derivative of x**2 - 1/2*x**4 + z*x**5 + 0*x - x**3 + 2. Determine j, given that q(j) = 0.
-1, 0, 2/3, 1
Let d(u) = 2*u - 16. Let r be d(9). Let h(c) be the first derivative of -2/35*c**5 + 2 + 0*c**r + 0*c**3 - 1/14*c**4 + 0*c. Solve h(f) = 0 for f.
-1, 0
Let v(y) = y**2 + 5*y + 4. Let w = -1 - 3. Let b be v(w). Suppose 4*l**5 + 2 - 2*l**2 - 3*l + 4*l**3 + b - 5*l**5 = 0. Calculate l.
-2, -1, 1
Suppose 0 = -z - 2*z - 6. Let d be z/(-5)*(-15)/(-18). Factor d + 1/3*m**2 + 2/3*m.
(m + 1)**2/3
Suppose 0 = 4*h - 13 - 19. Let m = -8 + h. Find c such that 2/9*c + m - 2/9*c**2 = 0.
0, 1
Let q(m) be the second derivative of -3*m**5/70 + 11*m**4/42 - 8*m**3/21 - 4*m**2/7 - 9*m. Factor q(d).
-2*(d - 2)**2*(3*d + 1)/7
Let d be (-1)/2 - 11/(-2). Suppose 0 = 2*r - d + 1. Let 4/5 + 48/5*h**r + 52/5*h**3 + 28/5*h**4 + 6/5*h**5 + 22/5*h = 0. What is h?
-1, -2/3
Let o(h) = -h**3 + 8*h**2 + 3. Let k be o(8). Factor 2*y**3 + 4*y**k - 2*y**2 - 2*y**4 + 4*y**2 - 4*y**3 - 2*y**5.
-2*y**2*(y - 1)*(y + 1)**2
Let l = -14 - -6. Let x be 12*(-1 + (-10)/l). Factor -2/7*a**x + 4/7*a - 2/7*a**2 + 0.
-2*a*(a - 1)*(a + 2)/7
Let y(p) = 2*p**2 + p - 1. Let x be y(1). Suppose 2 - 8 = -x*f. Factor 1/2*k**f + 1/2*k - k**2 + 0.
k*(k - 1)**2/2
Let t(c) be the second derivative of -c**5/15 - c**4/9 + 4*c**3/9 + 11*c. Find u such that t(u) = 0.
-2, 0, 1
Suppose -g - g + 8 = 3*r, -r = -4*g + 30. Let c be g/3 + -2*1. Factor 1/3*i**4 + 0 + i**3 + c*i + i**2.
i*(i + 1)**3/3
Suppose -4*s = -0*n - n + 52, -3*s - 62 = 5*n. Let b be 32/(-8) - s/3. Let 3*v**3 - 7/3*v**4 - b*v**2 + 0*v + 0 = 0. Calculate v.
0, 2/7, 1
Factor 2/5*h - 2/5*h**3 + 0 + 0*h**2.
-2*h*(h - 1)*(h + 1)/5
Let s be (-1*(0 + 2))/(-6). Suppose 16*o = 25*o - 36. Factor 0*t**2 + 0 + 2/3*t**o + s*t**3 + 1/3*t**5 + 0*t.
t**3*(t + 1)**2/3
Let x(z) = -17*z**2 + 17*z + 13. Let v(g) = -10*g**2 + 10*g - 3. Let o(r) = -r**2 + r - 1. Let y(b) = 6*o(b) - v(b). Let n(m) = -6*x(m) - 26*y(m). Factor n(u).
-2*u*(u - 1)
Suppose -4*p - 3*q + 15 = p, -2*p + 6 = 5*q. Find h such that 1/5*h**2 - 1/5*h**p - 1/5 + 1/5*h = 0.
-1, 1
Factor -1/9*z**5 + 0*z**2 + 0 + 0*z**3 + 0*z - 1/9*z**4.
-z**4*(z + 1)/9
Let k be (-4)/14 - (-18)/14. Let v = k + 3. Find g, given that -g**4 - v*g**2 - 1 - 5*g**2 - 7*g - 5*g**3 - 1 = 0.
-2, -1
Let g(y) be the third derivative of -y**6/600 - y**5/50 - y**4/24 + 14*y**2. Factor g(m).
-m*(m + 1)*(m + 5)/5
Solve -4/7*x + 3/7*x**2 + 1/7 = 0 for x.
1/3, 1
Let m(b) be the third derivative of 0*b + 0*b**3 + 0 - 2*b**2 + 0*b**4 + 1/80*b**5. Factor m(n).
3*n**2/4
Let i(a) be the first derivative of a**6/27 - a**4/9 + a**2/9 - 8. Solve i(c) = 0 for c.
-1, 0, 1
Let l(x) be the first derivative of -x**4/4 - x**2 - x + 1. Let t be l(-1). Factor 2*c**2 - t*c**4 + c**5 + 0*c**2 - c + 0*c**4.
c*(c - 1)**3*(c + 1)
Let t(u) = 14*u - 490. Let m be t(35). Factor 1/6*j**4 + 1/6*j + m - 1/6*j**2 - 1/6*j**3.
j*(j - 1)**2*(j + 1)/6
Let h = -78/23 + 684/161. Let 8/7*x**5 - 2/7*x**2 + 0*x**4 + 2/7 + h*x - 2*x**3 = 0. What is x?
-1, -1/2, 1
Let o be (14/2)/1 + -2. Suppose o*q = 7 + 3. Factor -q*j**2 + 4*j**2 - 3*j**2 - 1 + 2*j**2.
(j - 1)*(j + 1)
Suppose i + 2*w = 4, -4*w - 5 = -2*i - 5*w. Factor 3/4*u**4 - 1/2 - 7/4*u**3 + 3/4*u + 3/4*u**i.
(u - 1)**3*(3*u + 2)/4
Factor -4/3*u + 0 + 4/3*u**2 - 1/3*u**3.
-u*(u - 2)**2/3
Let g(o) be the first derivative of -4*o**5/15 + 5*o**4/12 + 23*o**3/9 - o**2 - 25. Determine t, given that g(t) = 0.
-2, 0, 1/4, 3
Let s be -1*(-11 - -3) + -2. Let m be 3 - (-9)/s*-2. Factor -1/3*r**2 + 1/3*r**5 + 0*r + 1/3*r**4 - 1/3*r**3 + m.
r**2*(r - 1)*(r + 1)**2/3
Let y = -2 + 6. Let g = 45/68 - 7/17. Factor -1/2*q**3 + 0*q**2 - g + 1/2*q + 1/4*q**y.
(q - 1)**3*(q + 1)/4
Suppose -39 + 4 = 5*g - 2*b, -b = 5*g + 50. Let p be 13/(-52) + g/(-4). Find o, given that -2/5 - 8/5*o - 2*o**p - 4/5*o**3 = 0.
-1, -1/2
Let k be 3 - 14/2*20/50. Factor -1/5*w + 0 - k*w**4 + 1/5*w**3 + 1/5*w**2.
-w*(w - 1)**2*(w + 1)/5
Let g(y) be the second derivative of -1/30*y**5 + 4/45*y**6 - 5/9*y**3 + 0 + 2/3*y**2 - 2/3*y**4 - 3*y. Let g(q) = 0. What is q?
-1, 1/4, 2
Let j = 2 - 7. Let d(t) = -t**4 - t**3 - t**2 - t + 1. Let c(o) = 3*o**4 - 3*o**3 - o**2 + 13*o + 3. Let v(n) = j*d(n) - c(n). Factor v(m).
2*(m - 1)*(m + 1)*(m + 2)**2
Let d = 7/50 + 337/450. Find w, given that 0 + 0*w + 2/9*w**4 + d*w**2 - 8/9*w**3 = 0.
0, 2
Let u(i) be the third derivative of -i**8/336 - 2*i**7/105 - i**6/30 + i**5/30 + 5*i**4/24 + i**3/3 - 6*i**2. Find r such that u(r) = 0.
-2, -1, 1
Let m(v) be the second derivative of 5/63*v**7 + 1/30*v**5 + 0 + 0*v**2 + 5*v + 8/45*v**6 + 0*v**3 - 1/9*v**4. Let m(r) = 0. Calculate r.
-1, 0, 2/5
Let g(d) = 3*d**2 + 4*d + 4. Let t(w) = w**2. Let x(l) = g(l) - 2*t(l). Factor x(j).
(j + 2)**2
What is i in 10 + 4*i**2 + i**2 + 15*i - 5 + 5 = 0?
-2, -1
Let y be (3/6)/(3 + (-17)/6). Factor -2*k**4 + 7/2*k - 1/2 + 13/2*k**y - 15/2*k**2.
-(k - 1)**3*(4*k - 1)/2
Suppose -2*d = 2*l, l - d - 12 = -2*l. Suppose l*t + 5*r - 6 = 0, -2*r = 3*t - 9 + 3. Let -3*w**3 + t*w**3 + w**4 + 2*w**4 = 0. What is w?
0, 1/3
Let i(t) = 2*t**2 - 33*t + 20. Let s be i(16). Let a(n) be the first derivative of 0*n - n**2 + 2*n**3 + 2/5*n**5 - 3/2*n**s + 1. Factor a(m).
2*m*(m - 1)**3
Let m(d) = 4*d - 13. Let k(c) = 2*c - 6. Let n(z) = -11*k(z) + 6*m(z). Let v be n(8). Factor 3/4*w**v + 0 - 1/4*w**2 + 1/2*w**3 + 0*w.
w**2*(w + 1)*(3*w - 1)/4
Let o(f) be the second derivative of f**7/147 + f**6/35 + f**5/35 - 19*f. Suppose o(d) = 0. What is d?
-2, -1, 0
Factor 6/7 + 2/7*v**3 - 10/7*v + 2/7*v**2.
2*(v - 1)**2*(v + 3)/7
Factor 6*i**3 - 2*i**4 - 12*i - i**4 + 6*i**3 - 6*i**2 + 9.
-3*(i - 3)*(i - 1)**2*(i + 1)
Let x(c) be the third derivative of -c**5/24 + 5*c**3/12 + 28*c**2. Factor x(n).
-5*(n - 1)*(n + 1)/2
Let i(x) = 4*x**2 + 7*x - 5. Let u(m) = -4*m**2 - 8*m + 4. Let c(b) = 4*i(b) + 3*u(b). Solve c(p) = 0 for p.
-2, 1
Let d = 5 - 2. Factor -6*k**4 + 5*k**3 - k**5 - 4*k**3 + 3*k**5 + 3*k**d.
2*k**3*(k - 2)*(k - 1)
Let s(a) = a**3 - 16*a**2 + 38*a + 15. Let x be s(13). Let v be ((-2)/(-12))/((-2)/(-4)). Factor 0 - 1/3*p**3 - v*p + 2/3*p**x.
-p*(p - 1)**2/3
Let o(w) be the first derivative of -9*w**4/10 + 176*w**3/15 - 41*w**2 - 20*w + 27. Determine b, given that o(b) = 0.
-2/9, 5
Suppose -9*f = -3*f + 7*f. Factor 0*c**2 + 0 + f*c + 1/4*c**4 - 1/4*c**3.
c**3*(c - 1)/4
Let m(s) = s**4 + s**3 - s**2 - s + 1. Let j(w) = -8*w**4 + 36*w**3 - 37*w**2 + 9*w - 1. Let i(a) = 5*j(a) + 5*m(a). What is x in i(x) = 0?
0, 2/7, 1, 4
Let r(x) be the first derivative of x**3 + 3*x**2/2 - 6*x - 9. Find v such that r(v) = 0.
-2, 1
Let r(j) = 4*j + 2. Let f(a) = a**2 + 8*a + 5. Let y(m) = 2*f(m) - 5*r(m). Factor y(s).
2*s*(s - 2)
Let a(q) = q**2 - 25*q - 54. Let k be a(27). Suppose k + 5/3*p**4 - 2/3*p**2 - p**3 + 0*p = 0. What is p?
-2/5, 0, 1
What is h in 2/11*h + 0 + 4/11*h**2 + 2/11*h**3 = 0?
-1, 0
Let v(z) = 2 - 5*z**2 + 1 + 2. Let y(u) = 9*u**2 - 9. Let c = -52 - -41. Let w(q) = c*v(q) - 6*y(q). Factor w(j).
(j - 1)*(j + 1)
Let t(c) = -7*c**4 + 3*c**3 + 7*c**2 + 3*c + 3. Let w(h) = 20*h**4 - 8*h**3 - 20*h**2 - 8*h - 8. Let v(f) = -8*t(f) - 3*w(f). Find u, given that v(u) = 0.
-1, 0, 1
Let w(m) = -m**3 + 3*m**2 + 2*m - 3. Let o be w(3). Suppose -25*v + o = -22*v. Let 3*g - 13/4*g**2 - v + 3/2*g**3 - 1/4*g**4 = 0. What is g?
1,