 0. What is s?
-1
Factor 29*h**3 + 21*h**4 + 22*h**2 + 11*h**2 + 0*h**2 + 6*h + 19*h**3.
3*h*(h + 1)**2*(7*h + 2)
Let s(m) be the third derivative of m**9/12600 + m**8/2400 - m**6/450 - m**4/12 + m**2. Let u(k) be the second derivative of s(k). Let u(y) = 0. Calculate y.
-2, -1, 0, 2/3
Let r(t) = -t**3 - 8*t**2 - 6*t + 9. Let b be r(-7). Factor -1/5*g**4 + 2/5*g + 0*g**b + 1/5 - 2/5*g**3.
-(g - 1)*(g + 1)**3/5
Let x be ((-1)/3)/(6/(-162)). Let y = -6 + x. Let 0*l**y + 1/2*l**4 + 0 - 1/2*l**2 + 0*l = 0. Calculate l.
-1, 0, 1
Let r(z) be the second derivative of -z**7/7560 + z**6/432 - z**5/90 + z**4/4 - 5*z. Let l(u) be the third derivative of r(u). Factor l(t).
-(t - 4)*(t - 1)/3
Suppose -c = 4*c + 5, -g = 3*c + 1. Factor 2/3*t**3 + 1/3 + 0*t**g - 1/3*t**4 - 2/3*t.
-(t - 1)**3*(t + 1)/3
Let q = 5 + -9. Let k be 4*q/8 - -7. Factor 0*h**3 + 2/3*h**k + 0*h - 1/3*h**2 + 0 + h**4.
h**2*(h + 1)**2*(2*h - 1)/3
Let l(v) be the third derivative of v**8/1176 - 4*v**7/735 + v**6/70 - 2*v**5/105 + v**4/84 - 25*v**2. Find g, given that l(g) = 0.
0, 1
Let 2/3 - 2/3*x + 2/3*x**4 - 4/3*x**2 + 4/3*x**3 - 2/3*x**5 = 0. Calculate x.
-1, 1
Let p = -565/7 + 81. Let o(l) be the first derivative of 2/21*l**3 + p*l**2 + 2/7*l + 4. Factor o(y).
2*(y + 1)**2/7
Let c = -16/227 + 4067/54480. Let o(n) be the third derivative of c*n**6 + 0 + 0*n - 3*n**2 + 1/12*n**3 - 1/120*n**5 - 1/48*n**4. Factor o(j).
(j - 1)**2*(j + 1)/2
Let w(h) be the second derivative of 0 - 1/5*h**2 + 7*h - 1/5*h**3 + 17/120*h**4 + 7/150*h**6 + 39/200*h**5. Determine g, given that w(g) = 0.
-2, -1, -2/7, 1/2
Let s(x) be the third derivative of x**8/1344 + x**7/1680 + x**5/15 + 4*x**2. Let i(z) be the third derivative of s(z). Determine k so that i(k) = 0.
-1/5, 0
Let s(n) be the third derivative of -n**9/37800 - n**8/8400 - n**7/6300 - n**4/12 - 4*n**2. Let k(h) be the second derivative of s(h). Factor k(j).
-2*j**2*(j + 1)**2/5
Let n(d) be the third derivative of 0 + 3*d**2 + 9/160*d**6 + 0*d - 1/80*d**5 + 13/280*d**7 + 0*d**3 + 5/448*d**8 - 1/16*d**4. Determine r, given that n(r) = 0.
-1, 0, 2/5
Let g(b) = b**5 + 3*b**3 + b + b**2 + 24*b**4 - 23*b**4 - 3*b**3. Let k(v) = -6*v**4 - 8*v**3 + 2*v**2 + 2*v. Let u(h) = -2*g(h) + k(h). Solve u(o) = 0 for o.
-2, 0
Let p be 2/(-8) - (-25)/4. Let d = p - 2. What is t in 6*t**2 + t**5 - 4*t**4 - t + 2*t**d - 4*t**2 = 0?
-1, 0, 1
Let q be -3*((-260)/(-15) - 2). Let j = 93/2 + q. Solve 1/2*z**5 - 1/2*z**3 + 0 + 1/2*z**2 + 0*z - j*z**4 = 0 for z.
-1, 0, 1
Let x(n) be the first derivative of -2*n**5/85 - 5*n**4/17 - 24*n**3/17 - 54*n**2/17 - 54*n/17 + 10. Suppose x(g) = 0. What is g?
-3, -1
Suppose -7*h + 7 = 7. Let v(b) be the third derivative of -b**2 - 1/70*b**7 + 0*b**3 + 0*b**5 + 0 - 1/40*b**6 + 0*b**4 + h*b. Factor v(n).
-3*n**3*(n + 1)
Factor 12*u**3 - u**3 + 27*u**2 + 12*u**4 + 5*u**3 + 20*u**3.
3*u**2*(2*u + 3)**2
Let a(f) be the first derivative of -1/20*f**5 - 1 + 1/12*f**4 - 3*f + 0*f**2 + 0*f**3. Let n(v) be the first derivative of a(v). Factor n(d).
-d**2*(d - 1)
Let w be -2 + 1 - (1 + 0). Let f be (w/5)/((-1)/5). Factor -2/7*l - 2/7*l**5 + 4/7*l**3 + 4/7*l**f - 2/7*l**4 - 2/7.
-2*(l - 1)**2*(l + 1)**3/7
Let d(x) = 16*x**3 + 2*x**2 - 3*x + 2. Let k be d(1). Suppose k*n - 11*n = 0. Solve 0*p**4 + n - 1/5*p**5 + 0*p + 1/5*p**3 + 0*p**2 = 0 for p.
-1, 0, 1
Let q(h) = -h - 8. Let x be q(-8). Factor -4/5*c**3 + x + 1/5*c**4 + 0*c + 4/5*c**2.
c**2*(c - 2)**2/5
Determine s so that -4/5*s**3 + 0 + 16/5*s**2 - 16/5*s = 0.
0, 2
Let l(g) = -6*g**5 - 15*g**4 + g**3 + 20*g**2 - g + 1. Let k(s) = -s**5 + s**3 - s + 1. Let v(z) = k(z) - l(z). Determine b so that v(b) = 0.
-2, 0, 1
Suppose 0 = -3*l - 40 + 46. Let -1/3 - 1/3*r**4 - 4/3*r - l*r**2 - 4/3*r**3 = 0. Calculate r.
-1
Let b(c) be the first derivative of -c**4/12 - c**3/3 - c**2/2 - 2*c - 2. Let i(h) be the first derivative of b(h). Solve i(q) = 0 for q.
-1
Let k(p) be the second derivative of -p**4/3 + 4*p**3/3 - 2*p**2 + 6*p. Factor k(f).
-4*(f - 1)**2
Let p be 6 - 413 - (-3 + 1). Let i = p + 2041/5. Solve -2/5*j**3 + i + 12/5*j**2 - 24/5*j = 0.
2
Factor 4*f**3 + 0*f + 14/3*f**4 + 2/3*f**5 + 0*f**2 + 0.
2*f**3*(f + 1)*(f + 6)/3
Let d = -3/11 + 20/33. Factor h**3 + 0 + 4/3*h**2 + d*h.
h*(h + 1)*(3*h + 1)/3
Let -1/6*s**5 + 2/3*s**3 - 1/3*s**2 - 1/2*s + 0*s**4 + 1/3 = 0. Calculate s.
-2, -1, 1
Let o(k) = 12*k**2 - 18*k - 9. Let u(b) = b**2 - b - 1. Let h be 4/(-5) + 6/(-30). Let y(i) = h*o(i) + 3*u(i). Solve y(m) = 0 for m.
-1/3, 2
Determine m, given that -m + 2*m - 39*m**2 + 5*m = 0.
0, 2/13
Let c(p) be the first derivative of 8 - 3*p**2 - 1/2*p**3 - 9/2*p. Factor c(y).
-3*(y + 1)*(y + 3)/2
Let x be (-6)/((6/(-8))/(-1)). Let v = 10 + x. Factor 5*a**5 + 3*a**4 - a**5 - v*a**5 - 5*a**5.
-3*a**4*(a - 1)
Solve -1/3*f**3 - f**2 + 1/3*f + 1 = 0.
-3, -1, 1
What is n in 3/7*n - 3/7*n**2 + 0 = 0?
0, 1
Let c(v) be the first derivative of 1/5*v**2 + 2/15*v**3 - 2*v + 3 + 1/30*v**4. Let d(i) be the first derivative of c(i). Determine j, given that d(j) = 0.
-1
Find j such that 0 - 9/4*j**4 + 9/4*j**2 - 3*j**3 + 0*j + 3*j**5 = 0.
-1, 0, 3/4, 1
Let y(c) be the second derivative of 0*c**2 + 1/60*c**5 + 1/18*c**4 + 0*c**3 + 0 - 5*c. Let y(s) = 0. What is s?
-2, 0
Suppose 13*d - 6*d = -9*d. Factor d*l - 4/7 + 4/7*l**2.
4*(l - 1)*(l + 1)/7
Let x be 15/84*(-1 + 9). Let t = x - 16/21. Factor -2*z + 2/3 + 4/3*z**3 + t*z**5 - 2*z**4 + 4/3*z**2.
2*(z - 1)**4*(z + 1)/3
Let z be -3 + 0 - -5*1. Find t such that 1 - 3*t**2 + 4*t**2 + 2 - 4*t**z = 0.
-1, 1
Let v(z) be the first derivative of -z**3/9 - z**2/6 - 13. Factor v(p).
-p*(p + 1)/3
Factor 12*y**3 + y**2 - y**2 + y**5 + 3*y**5 - 4*y**2 - 12*y**4.
4*y**2*(y - 1)**3
Suppose 0*b**2 + 0 - 4/7*b + 4/7*b**3 = 0. What is b?
-1, 0, 1
Let w(s) = -s**3 + 6*s**2 - 2. Let n be w(6). Let m be 0 - -3 - (-5)/n. Factor -1/2*r**4 + 1/2*r + 0 - 1/2*r**3 + m*r**2.
-r*(r - 1)*(r + 1)**2/2
Let n(d) = 6*d + 98*d + 8 + 9*d. Let t be n(6). Determine g, given that 47*g - 16 + 9*g - t*g**4 - 490*g**3 - 16*g + 252*g**2 = 0.
-1, -2/7, 2/7
Let k(r) be the first derivative of 2*r**5/25 + r**4/5 - 25. Factor k(g).
2*g**3*(g + 2)/5
Let t = 196 + -196. Solve 0 + 1/2*q**3 + t*q**2 - 1/2*q = 0 for q.
-1, 0, 1
Let d be 60/(-9) - 4/(-6). Let y = d + 8. Suppose 2/9*q**3 + 0*q**y + 0 - 2/9*q = 0. What is q?
-1, 0, 1
Let s(a) = -10*a**4 - 10*a**3 + 15*a**2 + 5*a. Let x(k) = -k**4 - k**3 + k**2 + k. Let d(g) = s(g) - 5*x(g). Let d(q) = 0. Calculate q.
-2, 0, 1
Find g such that 0 + 2/5*g**3 + 0*g - 6/5*g**2 = 0.
0, 3
Let n(m) = m. Let w be n(2). Let i = 0 + 3. Find t, given that -w*t**i + 2*t**2 - t**2 + 3*t**3 = 0.
-1, 0
Let n = -38 + 38. Let r(m) be the third derivative of n + 0*m + 0*m**3 + 0*m**4 + 2*m**2 - 1/60*m**5 - 1/210*m**7 + 1/60*m**6. Determine w so that r(w) = 0.
0, 1
Let v be (-26 - -22) + (-290)/(-72). Let w(a) be the second derivative of 0*a**2 + 0 + 2*a - 1/18*a**3 - v*a**4. Determine j so that w(j) = 0.
-1, 0
Let m(c) be the first derivative of -2*c**5/35 + 2*c**3/21 - 6. Suppose m(b) = 0. What is b?
-1, 0, 1
Suppose 0 + 6 = 2*z - 3*q, -z + 5*q = -3. Let 0 + 2/7*p + 2/7*p**2 - 2/7*p**4 - 2/7*p**z = 0. Calculate p.
-1, 0, 1
Let o(t) be the third derivative of t**8/504 + t**7/315 - t**6/180 - t**5/90 + t**2. Factor o(w).
2*w**2*(w - 1)*(w + 1)**2/3
Let j(z) be the third derivative of z**10/90720 - z**8/10080 + z**6/2160 - z**4/6 - 2*z**2. Let n(h) be the second derivative of j(h). Factor n(q).
q*(q - 1)**2*(q + 1)**2/3
Let z = -2 + 4. Let k = 4 - z. Find l such that 0 + 3/4*l**5 - 1/4*l**k + 0*l - 7/4*l**4 + 5/4*l**3 = 0.
0, 1/3, 1
Factor -3*n**3 + 0*n**3 + 122*n**4 - 98*n**4 - 15*n**5 - 6*n**2.
-3*n**2*(n - 1)**2*(5*n + 2)
Let h(w) be the first derivative of w**6/18 + w**5/5 + w**4/4 + w**3/9 - 7. Factor h(o).
o**2*(o + 1)**3/3
Suppose q = 10*q. Let b(h) be the first derivative of -1 - 11/10*h**5 + q*h**3 - 5/4*h**6 + 0*h + 0*h**2 - 1/4*h**4. Let b(y) = 0. What is y?
-2/5, -1/3, 0
Let n(u) be the first derivative of u**4/4 - u**3/2 - 3*u**2 - 4*u + 2. Let p(f) be the first derivative of n(f). Find z, given that p(z) = 0.
-1, 2
Let v be (-1 + 14/6)*18. Let c be 4/v + 46/12. Factor -2/5*l**c + 0 + 0*l - 2/5*l**2 - 4/5*l**3.
-2*l**2*(l + 1)**2/5
Let g(b) be the third derivative of -b**6/450 - b**5