.
-2, -1/4, 0, 2/5, 1
Let k(r) be the third derivative of -r**8/224 + r**6/80 + 8*r**2. Factor k(u).
-3*u**3*(u - 1)*(u + 1)/2
Suppose 2*c = -0*c + 3*b + 21, -4*c + b = -17. Let 9*w**2 - 10*w**c + w**3 - 3*w**3 + 3*w**4 = 0. Calculate w.
0, 1, 3
Suppose -3*k**4 - k**4 - 8*k + 7*k**4 - 6*k**4 + 2*k**3 + 12*k**2 = 0. Calculate k.
-2, 0, 2/3, 2
Let l(f) be the third derivative of f**9/211680 - f**8/70560 - f**5/60 + 3*f**2. Let s(k) be the third derivative of l(k). Let s(w) = 0. What is w?
0, 1
Let w(v) be the second derivative of v**3/6 + 5*v**2 + 2*v. Let c be w(-7). Factor 7*z + c*z**2 - z + 3 + 0*z.
3*(z + 1)**2
Suppose 4 + 0 = t. Suppose -t*v + 4 = -3*n - n, -v = 4*n - 21. Suppose -5/3*f**5 - 2/3*f**2 + 0*f + 0 - 3*f**3 - 4*f**n = 0. Calculate f.
-1, -2/5, 0
Let t be ((-1 - -10) + -40)/(-3 + 0). Suppose -2*w = -4*y + 14, 3*y = 3*w - 1 + 16. Suppose -40/3*n**4 + 17*n**3 + 4*n**5 - t*n**y + 3*n - 1/3 = 0. Calculate n.
1/3, 1/2, 1
Let l(u) be the first derivative of 2*u**5/5 + 5*u**4/2 + 16*u**3/3 + 4*u**2 + 11. What is z in l(z) = 0?
-2, -1, 0
Let j = 10 - 8. Factor -1/4*s**j + 0*s + 1/4.
-(s - 1)*(s + 1)/4
Factor -3*w**4 - 3*w**5 - 9*w**3 - 7*w**4 - 3*w**2 + w**4.
-3*w**2*(w + 1)**3
Factor 3*b**2 + 1470*b + 363 - 1404*b + 0*b**2.
3*(b + 11)**2
Let g(b) be the first derivative of 9/10*b**4 - 2*b**3 + 9 - 2/5*b + 7/5*b**2. Determine k, given that g(k) = 0.
1/3, 1
Let b(m) = -m**3 - 4*m + 5. Let h(y) = 2*y - 7*y + 7 - y**3 + 0*y**3 - y. Let a(t) = -7*b(t) + 5*h(t). Let a(x) = 0. What is x?
-1, 0, 1
Let r(h) be the first derivative of 3*h**4/4 - 63*h**2/2 + 24*h + 5. Let n(t) = t**3 - 18*t + 7. Let k(p) = -18*n(p) + 5*r(p). Factor k(m).
-3*(m - 1)**2*(m + 2)
Let h(b) = -b**3 - 16*b**2 - 14*b + 18. Let t be h(-15). Determine g, given that -2/3 + g + 0*g**2 - 1/3*g**t = 0.
-2, 1
Let c = -11 - -19. Let b be ((-2)/(-3))/(c/42). Let 10/3*a**4 - 2/3*a - 10/3*a**2 + 25/6*a**5 + 0 - b*a**3 = 0. Calculate a.
-1, -2/5, 0, 1
Let o(c) = c**3 - 11*c**2 + 3. Let d(a) = -30*a + 30*a - 120*a**2 + 12*a**3 + 32. Let z(n) = -3*d(n) + 32*o(n). Find w, given that z(w) = 0.
0, 2
Let a = 309 + -307. Solve 0*k + 0 - 1/4*k**3 + 1/4*k**a = 0.
0, 1
Let l = 7 + 1. Let f be (-1)/4 - (-18)/l. Factor -3*j**5 - 14*j**2 + f*j + 6*j**2 - 8*j**4 + 12*j**3 + 5*j**5.
2*j*(j - 1)**4
Let y(u) be the third derivative of -u**5/120 + u**4/48 + u**3/6 - 23*u**2. Factor y(f).
-(f - 2)*(f + 1)/2
Let n(h) = -h**3 - 4*h**2 - 1. Let w be n(-3). Let l be (-2 - -3) + (-2)/w. What is f in -l*f**2 + 6/5*f**3 + 0 + 2/5*f - 2/5*f**4 = 0?
0, 1
Let d(p) = 2*p**4 - 10*p**3 - 8*p**2 + 7*p. Let x = -12 - -18. Let s(r) = -5*r**4 + 19*r**3 + 16*r**2 - 13*r. Let u(m) = x*s(m) + 10*d(m). Factor u(i).
-2*i*(i - 2)*(i + 1)*(5*i - 2)
Let k(m) be the third derivative of -m**7/35 - m**6/20 - m**5/10 - m**4/4 + m**2. Let s(l) = l**4 + l. Let b(n) = k(n) + 4*s(n). Factor b(f).
-2*f*(f + 1)**3
Let z be ((-10)/6)/((-50)/20). Factor 1/3*l**2 + z*l + 0.
l*(l + 2)/3
Let w = -47 - -47. Factor 0 + w*s**3 - 3/2*s**4 + 0*s + 3/2*s**2.
-3*s**2*(s - 1)*(s + 1)/2
Suppose 4*f = -3*f + 14. Let c(k) be the second derivative of k**3 + 0*k**4 + 3/2*k**f - 1/10*k**6 + 0 + k - 3/10*k**5. Factor c(m).
-3*(m - 1)*(m + 1)**3
Let m be 39/12 + (-2)/8. Let d(b) be the second derivative of 0 - m*b + 0*b**5 - 1/42*b**7 + 1/15*b**6 + 0*b**2 + 1/6*b**3 - 1/6*b**4. What is a in d(a) = 0?
-1, 0, 1
Let v(q) be the second derivative of q**6/15 + 8*q**5/45 + 5*q**4/54 - 2*q**3/27 - 5*q. Suppose v(j) = 0. What is j?
-1, 0, 2/9
Let r(c) be the second derivative of -3/7*c**2 + 1/28*c**4 + 1/14*c**3 + 0 + 3*c. Solve r(x) = 0.
-2, 1
Let p(s) = s**3 - 4*s**2 - 6*s + 5. Let d be p(5). Let i(y) be the second derivative of d - 2*y + 1/21*y**3 - 1/42*y**4 + 0*y**2. Find o, given that i(o) = 0.
0, 1
Suppose 3*r - 28 - 50 = 0. Suppose -8*s**2 - 6*s**2 - r*s**4 + 30*s**3 + 11*s**5 - 3*s**5 + 2*s = 0. Calculate s.
0, 1/4, 1
Let p(f) be the first derivative of -f**5/30 + f**4/8 - f**3/9 + 10. Factor p(j).
-j**2*(j - 2)*(j - 1)/6
Let j(c) be the third derivative of c**6/30 + c**5 + 25*c**4/2 + 250*c**3/3 + 59*c**2. Determine i so that j(i) = 0.
-5
Let m(l) be the first derivative of l**4/4 + 3*l**3/2 + 5*l**2/2 + 3*l/2 + 3. Find s, given that m(s) = 0.
-3, -1, -1/2
Let l = 262/5 - 1794/35. Factor 2/7 - 6/7*s**2 - 8/7*s**3 + l*s**4 + 4/7*s.
2*(s - 1)**2*(2*s + 1)**2/7
Suppose 3*y + 5 + 8 = 5*c, -2*y + 4 = 3*c. Determine z, given that -z**4 + 0 + 0*z**c - 3/2*z**3 + 1/2*z = 0.
-1, 0, 1/2
Let n(f) be the second derivative of f**5/300 - f**4/120 + f**2 + 3*f. Let q(p) be the first derivative of n(p). Determine x so that q(x) = 0.
0, 1
Let z(r) be the first derivative of 2*r**5/25 - 4*r**3/15 + 2*r/5 - 10. Suppose z(s) = 0. What is s?
-1, 1
Let j(n) be the first derivative of 2*n**3/15 - n**2/5 - 30. Determine w, given that j(w) = 0.
0, 1
Let i = -217 + 220. Factor 1/5*m**i + 1/5*m + 0 - 2/5*m**2.
m*(m - 1)**2/5
Factor 0*f + 0 + 2/11*f**3 + 4/11*f**2.
2*f**2*(f + 2)/11
Suppose 4*z = -5*w + 30, 5*z - 4*w = 4*z - 3. Let y(c) be the third derivative of -1/16*c**4 + 1/6*c**3 - 4*c**2 + 0*c + 1/120*c**z + 0. Factor y(n).
(n - 2)*(n - 1)/2
Let o be 15/(-5) - (-10 + 0). Factor -d**3 + 2*d**3 - 4*d**2 + o*d**2 + 2*d.
d*(d + 1)*(d + 2)
What is n in 0*n**2 - 4/5*n**5 - 8*n**3 + 44/5*n - 24/5*n**4 + 24/5 = 0?
-3, -2, -1, 1
Suppose -10*c - c**2 + 7*c**3 - 6*c - 4*c**2 - 4 = 0. What is c?
-1, -2/7, 2
Let z be (-3)/5 + -4 + 6. Suppose -2*x = 5*h - 10, 5*x + h = x + 2. Factor -z*w**4 + x - 2/5*w**2 + 9/5*w**3 + 0*w.
-w**2*(w - 1)*(7*w - 2)/5
Suppose 4*b - 2*o - 18 = 0, 0 = -5*b - 5*o - 8 + 23. Factor -5*f**3 + 0*f**4 + 2*f**b + 2*f**3 - 3*f**2 - f - 3*f**4.
-f*(f + 1)**3
Let f = -76 - -12. Let u be (6/(-8))/(84/f). Factor -2/7 + u*p - 2/7*p**2.
-2*(p - 1)**2/7
Let r(m) be the first derivative of 4*m**3/15 - 6*m**2/5 + 8*m/5 + 14. Factor r(w).
4*(w - 2)*(w - 1)/5
Let w(k) be the first derivative of k**6/1260 + k**5/105 + k**4/21 + 2*k**3/3 + 3. Let t(p) be the third derivative of w(p). Factor t(z).
2*(z + 2)**2/7
Let t be 4 + -6 + (-176)/(-40). Factor -2/5*g**4 - 26/5*g**2 - 8/5 + t*g**3 + 24/5*g.
-2*(g - 2)**2*(g - 1)**2/5
Suppose -4*a**4 - 9*a**4 + 16*a**2 + 9*a**4 = 0. Calculate a.
-2, 0, 2
Let s(h) be the first derivative of -2 + 2/9*h**3 + 1/3*h**2 - 2/3*h - 1/6*h**4. Factor s(q).
-2*(q - 1)**2*(q + 1)/3
Factor 9*g**4 - 30*g**2 - 15*g**4 + 4*g**4 + 14*g**3 + 18*g.
-2*g*(g - 3)**2*(g - 1)
Suppose -2 = -4*h + 14. Determine z so that 2*z**4 + 2*z**4 - 2*z**2 + 0*z**4 - 2*z**h = 0.
-1, 0, 1
Let g(x) be the third derivative of x**6/180 - x**4/12 - 2*x**3/9 + x**2. Determine r, given that g(r) = 0.
-1, 2
Let i(a) be the third derivative of a**8/560 + 3*a**7/350 + 3*a**6/200 + a**5/100 - 2*a**2. Factor i(t).
3*t**2*(t + 1)**3/5
Let z(g) be the first derivative of g**4/40 + g**3/15 + g**2/20 - 13. Factor z(m).
m*(m + 1)**2/10
Let y(a) = a**5 - a**4 + a**3 - a + 1. Let b = 13 + -8. Let t(h) = 3*h**5 - 5*h**4 + 7*h**3 - 5*h + 5. Let c(n) = b*y(n) - t(n). Factor c(x).
2*x**3*(x - 1)*(x + 1)
Let f(n) be the third derivative of 3*n**2 + 0*n + 1/720*n**6 - 1/360*n**5 + 0*n**3 - 1/144*n**4 + 1/1260*n**7 + 0. Determine k so that f(k) = 0.
-1, 0, 1
Let o(c) be the third derivative of -c**9/241920 + c**7/6720 + c**6/1440 - c**5/20 + 2*c**2. Let h(b) be the third derivative of o(b). Factor h(a).
-(a - 2)*(a + 1)**2/4
Let s(x) = -2*x**2 - 6*x + 2. Let p(m) = 6*m**2 + 17*m - 6. Let r(a) = -6*p(a) - 17*s(a). Factor r(i).
-2*(i - 1)*(i + 1)
Let l(u) = -u**2 - u. Let w(i) = 4*i**2 + 4*i + 2. Let g(p) = 5*l(p) + w(p). Let c be g(-2). Determine o so that 0 + o**4 + c = 0.
0
Let t(r) be the second derivative of 3*r**5/5 - r**4/3 - 2*r**3 + 2*r**2 - 4*r. Determine p, given that t(p) = 0.
-1, 1/3, 1
Let t(z) be the third derivative of -z**8/60480 - z**7/15120 + z**6/1080 - z**5/30 + 7*z**2. Let g(s) be the third derivative of t(s). Solve g(h) = 0 for h.
-2, 1
Factor 12*v**2 - 10*v**2 + 0*v**4 - 3 + 4*v**2 - 3*v**4.
-3*(v - 1)**2*(v + 1)**2
Let q(r) be the third derivative of 4*r**2 - 1/84*r**4 + 0*r**3 + 0 + 0*r + 1/210*r**5. Determine u so that q(u) = 0.
0, 1
Let c(u) be the third derivative of -u**8/1680 + u**7/350 - u**6/300 - u**5/150 + u**4/40 - u**3/30 - 7*u**2. Factor c(w).
-(w - 1)**4*(w + 1)/5
