is f in -f**2 + 7/5*f**4 - 2/5*f**5 - 2/5 - f**3 + 7/5*f = 0?
-1, 1/2, 1, 2
Let d(x) be the third derivative of -x**8/1848 + x**7/1155 + x**6/132 + x**5/110 - 4*x**2. Find t such that d(t) = 0.
-1, 0, 3
Let m be ((-29)/14)/((-216)/(-48)). Let q = -2/63 - m. Factor 1/7*z**3 + q*z**2 + 2/7 - 5/7*z - 1/7*z**4.
-(z - 1)**3*(z + 2)/7
Let v(a) be the first derivative of 2/3*a - 4/3*a**2 + 2/15*a**5 + 4/3*a**3 - 3 - 2/3*a**4. Let v(d) = 0. What is d?
1
Suppose 7*s = 3*s - 8, 0 = -x + 2*s + 6. Factor p**3 - x*p**2 + 0*p**2 + p + 0*p**2 + 0*p.
p*(p - 1)**2
Let j(k) be the second derivative of 1/2*k**4 + 1/15*k**6 + 0*k**2 + 1/3*k**3 + 0 + 3/10*k**5 + 3*k. Find x, given that j(x) = 0.
-1, 0
Suppose 16*r + 2 = 17*r. Suppose 0 = -c - 4*s + 16, 7 - 3 = -2*c + 4*s. Solve -105*f**r - 4 + 343/2*f**c + 49/2*f**3 + 38*f = 0.
-1, 2/7
Let r be 1343/(-17)*1*-1. Let i = 399/5 - r. Determine w so that 0 + 6/5*w**2 - 14/5*w**3 + 2*w**5 - 6/5*w**4 + i*w = 0.
-1, -2/5, 0, 1
Let i(k) be the first derivative of 3/5*k**4 + 0*k - 4/5*k**3 - 3/25*k**5 - 1 + 0*k**2. Factor i(y).
-3*y**2*(y - 2)**2/5
Let r be 3 + (-4)/3 + 5/15. Factor 4/3*z + 4/3*z**r + 0.
4*z*(z + 1)/3
Suppose -w - 1 + 9 = 0. Suppose -2*t = 2*t - w. Determine v so that -8/3*v**t - 8/3*v + 0 + 22/3*v**3 + 4*v**4 - 6*v**5 = 0.
-2/3, 0, 1
Let z(m) be the first derivative of -7496644*m**5/5 + 405224*m**4 - 43808*m**3 + 2368*m**2 - 64*m - 9. Suppose z(r) = 0. What is r?
2/37
Let z be 6/33 + 62/22. Determine p, given that -z*p**5 + 5*p**5 + 0*p - 2*p**4 + 0*p = 0.
0, 1
Let x be ((-4)/(-5) + -1)/((-24)/160). Factor 2*t**2 - 2/3*t**4 + 0*t**3 - x*t + 0.
-2*t*(t - 1)**2*(t + 2)/3
Let p(k) = 2*k + 7. Let t be p(-5). Let j be (-1)/(-2)*(3 - t). Factor -1/2*z**2 - 3/2*z**j + z + 0.
-z*(z + 1)*(3*z - 2)/2
Suppose 0 = 3*q - w - 2*w - 18, 5*w = -q - 12. Let 3*r**2 + 0 + 2/3*r + 7/3*r**q = 0. Calculate r.
-1, -2/7, 0
Factor 2/9*j - 2/9*j**2 - 2/9*j**3 + 2/9.
-2*(j - 1)*(j + 1)**2/9
Let x(v) be the first derivative of 3*v**4/4 + v**2/2 - v - 11. Let n be x(1). Let 3/7*f**4 - 3/7*f**2 - 3/7*f**n + 3/7*f + 0 = 0. What is f?
-1, 0, 1
Factor -2/7 - 2/7*f**5 - 2/7*f - 2/7*f**4 + 4/7*f**3 + 4/7*f**2.
-2*(f - 1)**2*(f + 1)**3/7
Let c(u) be the first derivative of 2*u**5/15 + u**4/6 - 2*u**3/3 - 5*u**2/3 - 4*u/3 - 9. Determine j, given that c(j) = 0.
-1, 2
Let p = 47 + -45. Factor -6/5*u + 2/5*u**p + 4/5.
2*(u - 2)*(u - 1)/5
Factor 0 + 2*c + 1/2*c**4 + 5/2*c**3 + 4*c**2.
c*(c + 1)*(c + 2)**2/2
Factor 4*h**2 + 21 - 22 - 3*h**2.
(h - 1)*(h + 1)
Let p = 15 - 1. Suppose -39 + p = -5*y. Factor 2/3*h**2 + 1/3*h**y + 0 - 1/3*h - 2/3*h**4 + 0*h**3.
h*(h - 1)**3*(h + 1)/3
Let k(x) be the second derivative of 4*x**4/3 - 4*x**3/3 + x**2/2 + x. Factor k(w).
(4*w - 1)**2
Factor 2/5*s**3 + 0 + 4/5*s**2 + 2/5*s.
2*s*(s + 1)**2/5
Let y = 156/233 + -2/699. Factor 8/3 + y*h**2 + 8/3*h.
2*(h + 2)**2/3
Let c(m) be the first derivative of 3*m**5/5 + 3*m**4/2 + m**3 - 18. Factor c(a).
3*a**2*(a + 1)**2
Let b(n) be the second derivative of 0*n**2 - 2/3*n**4 + 0*n**3 - 5*n - 8/15*n**6 + 0 - 9/5*n**5. Factor b(p).
-4*p**2*(p + 2)*(4*p + 1)
Let z be ((-2)/4)/((-1)/6). Suppose -5*x + 4*x + z = 0. Find g, given that 4*g**4 + g**5 + g**2 - 3*g**2 - 4*g**5 + g**x = 0.
-2/3, 0, 1
Let q be 8/24 + 2 + 1 + -3. Let j(d) be the first derivative of 1/6*d**4 + 2/15*d**5 + 4 - q*d**2 - 2/9*d**3 + 0*d. Factor j(t).
2*t*(t - 1)*(t + 1)**2/3
Let i = 66 + -64. Factor 0*g + 0*g**i + 0*g**3 + 2/5*g**4 + 2/5*g**5 + 0.
2*g**4*(g + 1)/5
Let c(q) be the first derivative of -1 - q**3 - 3/2*q**2 + 3/4*q**4 + 3*q. Determine g so that c(g) = 0.
-1, 1
Let n(l) = -l**3 + 5*l**2 + 5*l + 6. Suppose 3*k = 4 + 14. Let d be n(k). Factor -2 - 3*c**3 + 2*c**5 + 0*c**3 - c**3 + d*c - 2*c**4 + 2*c + 4*c**2.
2*(c - 1)**3*(c + 1)**2
Let d = 22 - 18. Let t(i) be the second derivative of 1/8*i**2 + 0 + 1/48*i**d + 2*i - 1/12*i**3. Factor t(w).
(w - 1)**2/4
Let z be (12 - 0) + 0 + -2. Let f be ((-12)/(-15))/(14/z). Factor -2/7*d + 0 + f*d**2 - 2/7*d**3.
-2*d*(d - 1)**2/7
Let u(d) = 9*d - 5. Let z be u(1). Let n(a) be the third derivative of 1/330*a**5 + 1/33*a**3 + 0*a + 3*a**2 + 0 + 1/66*a**z. Factor n(i).
2*(i + 1)**2/11
Let m(g) = 5*g**3 + 77*g**2 + 313*g + 245. Let r(f) = f**2 - f. Let l(a) = -m(a) + 2*r(a). Find p such that l(p) = 0.
-7, -1
Suppose -6*p + 15 = -p. Factor 0*y**5 - 3*y**4 + p*y**4 + y**4 + 3*y**5.
y**4*(3*y + 1)
Let x be ((-104)/60)/(2/(-51)). Let f = x - 44. Determine y, given that -4/5*y - 3/5*y**2 - f = 0.
-1, -1/3
Suppose -2*i = -61 + 15. Let y be 9/(-12) + i/20. Factor 6/5*g**3 + 6/5*g**2 + y*g + 2/5*g**4 + 0.
2*g*(g + 1)**3/5
Let a(d) be the third derivative of -d**5/30 + 5*d**4/12 + 23*d**2. Let a(g) = 0. What is g?
0, 5
Suppose 0*g + 4 = -3*g - 4*z, 0 = -4*g - 4*z. Let r be (-39)/(-15) + g/10. Determine h so that 4*h**r - 2*h**3 + 2*h**4 - 4*h**4 = 0.
0, 1
Let c be 22/33 - 346/240. Let m = 11/8 + c. Let -m - 12/5*t - 12/5*t**3 - 3/5*t**4 - 18/5*t**2 = 0. What is t?
-1
Let p(l) = l - 6. Let b(d) = -d + 7. Let u(n) = 3*b(n) + 4*p(n). Let y be u(7). Let -6*c**3 - 3*c**y - 2*c + 2*c - 3*c**2 = 0. What is c?
-1, 0
Let t(y) = -y**2 + 4*y + 7. Let o(n) = 3*n**2 - 7*n - 13. Let h(v) = -6*o(v) - 15*t(v). Factor h(c).
-3*(c + 3)**2
Let n(v) be the second derivative of v**7/315 - v**6/72 + v**5/60 + v**4/6 + 4*v. Let k(h) be the third derivative of n(h). Determine d, given that k(d) = 0.
1/4, 1
Find q, given that 10*q - 56*q - 16*q**2 - 8 + 26*q - 4*q**3 = 0.
-2, -1
Let u = 62 - 680/11. Factor 0 - u*h**2 + 2/11*h**4 - 2/11*h + 2/11*h**3.
2*h*(h - 1)*(h + 1)**2/11
Factor 3*s - 63*s**2 + 4 + 2 + 60*s**2.
-3*(s - 2)*(s + 1)
Let q(k) be the first derivative of -k**7/84 + k**6/45 + k**5/120 - k**4/36 + k - 7. Let t(v) be the first derivative of q(v). Suppose t(x) = 0. Calculate x.
-2/3, 0, 1
Let r = 3/37 + 287/111. Determine o, given that r*o + 2/3*o**2 + 8/3 = 0.
-2
Factor 80*g**3 + 19*g**3 + 27*g**4 + 12*g + 48 - 96*g - 60*g**2.
3*(g + 1)*(g + 4)*(3*g - 2)**2
Let p(c) = c + 12. Let a be p(-10). Let -j**2 + 11*j**3 - 8*j**3 + 3*j**2 + j**a = 0. Calculate j.
-1, 0
Let c(x) be the third derivative of -x**6/180 - x**5/45 + 8*x**2. What is z in c(z) = 0?
-2, 0
Determine m so that 3/5*m**4 - 3/5*m**3 + 0 - 3/5*m**2 + 3/5*m = 0.
-1, 0, 1
Factor i - 5/4*i**3 - 3/2*i**2 + 2 - 1/4*i**4.
-(i - 1)*(i + 2)**3/4
Let h be 4/14 - 40/(-7). Let p(x) = x - 4. Let f be p(h). Factor 3*r - r + 0*r - f*r**2.
-2*r*(r - 1)
Let r(y) = 2*y**2 - 1. Let v = 0 - 1. Let t be r(v). Factor d + d**3 - d - t + d**2 - d.
(d - 1)*(d + 1)**2
Suppose -6*z = -z - 40. Let h be z/10*30/12. Solve 2/7*j**h + 2/7*j - 4/7 = 0.
-2, 1
Let d(u) be the second derivative of u**5/180 - u**3/18 + 3*u**2/2 - u. Let i(a) be the first derivative of d(a). Find r, given that i(r) = 0.
-1, 1
Let u be (-23)/(-22) + -4 + 3. Let d(a) be the second derivative of 1/11*a**3 + 0 + 1/110*a**5 - 3*a - u*a**4 - 1/11*a**2. Find x, given that d(x) = 0.
1
Let t(w) be the first derivative of 3*w**7/140 - w**6/32 + w**5/80 + 5*w**2/2 - 1. Let n(k) be the second derivative of t(k). Determine x, given that n(x) = 0.
0, 1/3, 1/2
Let p(j) = -10*j**2 - 25*j - 20. Let x(h) = -9*h**2 - 24*h - 19. Let m(b) = -4*p(b) + 5*x(b). Factor m(w).
-5*(w + 1)*(w + 3)
Suppose -2 = -3*y + 4. Let h(o) = -15*o**3 - 16 + o + 16 - 14*o**y. Let n(f) = -7*f**3 - 7*f**2. Let q(s) = -4*h(s) + 10*n(s). Solve q(b) = 0.
-1, -2/5, 0
Let x(v) be the first derivative of -1/10*v**4 + v + 2 - 1/150*v**6 - 1/10*v**2 + 2/15*v**3 + 1/25*v**5. Let z(t) be the first derivative of x(t). Factor z(n).
-(n - 1)**4/5
Factor -10*a + 2*a**4 - 16*a**2 + 10*a + 14*a**2 + 2*a**3 - 2*a**5.
-2*a**2*(a - 1)**2*(a + 1)
Find z such that 0*z**3 + 2/3*z**4 + 0 - 2/3*z**2 + 1/3*z**5 - 1/3*z = 0.
-1, 0, 1
Suppose 37 = 3*b - 8. Suppose b = -3*l + 8*l. Factor 4/9*d + 14/9*d**2 + 8/9*d**l - 2/9.
2*(d + 1)**2*(4*d - 1)/9
Suppose -15 - 17 = -4*l. Let s = -6 + l. Factor -5*b**2 + s + 2*b**2 + b**2.
-2*(b - 1)*(b + 1)
Factor -3/7*u + 1/7*u**2 - 4/7.
(u - 4)*(u + 1)/7
Let r be ((-4)/(-36))/(14/6). Let x(a) be the first derivative of -1 + 8/35*a**5 - 8/21*a**3 + 0*a + 3/14*a**4 + r*a**6 - 4/7*a**2. Find f, given that x(f) = 0.
-2, -1, 0, 1
Let m = 223/60 - 11/3. Let h(c) be the third derivative of 0 + m*c**4 - 1/150*c**5 