h(w) = 0?
-1, 1
Solve -3*k**2 + 13*k**2 - 40*k + 8*k**3 + k**4 + 44*k + k**4 = 0.
-2, -1, 0
Let r(a) be the second derivative of -a**7/147 + a**6/105 + a**5/70 - a**4/42 - a. Find f, given that r(f) = 0.
-1, 0, 1
Let c = 3 + 0. Suppose -c = -h + 2*n + 5, -5 = -h + n. Factor -l + 1/2 + 1/2*l**h.
(l - 1)**2/2
Suppose 6*h - 3*h = -3, -4*t + h = 7. Let f be (-4*(-1)/(-1))/t. Solve 2*s**4 + f*s**4 + 3*s**3 + 2*s**5 - s**3 = 0.
-1, 0
Let o(q) = 1. Let c(a) = -2*a**2 - 4*a + 3. Let g(j) = c(j) - 5*o(j). Determine n, given that g(n) = 0.
-1
Let w be (1 + (-4)/3)*-18. Let k be 0/(w - (6 - 2)). Factor 0*u + 21/4*u**5 + k*u**2 + 0 - u**3 + 2*u**4.
u**3*(3*u + 2)*(7*u - 2)/4
Let c(a) be the third derivative of a**6/360 + a**5/40 + a**4/12 + a**3/2 - 3*a**2. Let s(d) be the first derivative of c(d). Solve s(w) = 0 for w.
-2, -1
Let x(t) = t**3 + 6*t**2 + t + 7. Let u be x(-6). Solve n**3 - u + 1 + n - 7*n**2 + 5*n**2 = 0 for n.
0, 1
Let h(s) be the second derivative of 3/10*s**5 + 0*s**3 - 4/15*s**6 - 3*s + 1/6*s**4 + 0 + 0*s**2. Factor h(d).
-2*d**2*(d - 1)*(4*d + 1)
Let n(j) be the third derivative of j**7/70 + j**6/20 - 3*j**5/20 - j**4 - 2*j**3 + 15*j**2. Factor n(c).
3*(c - 2)*(c + 1)**2*(c + 2)
Suppose -6/5*f + 2/5*f**2 + 0 = 0. What is f?
0, 3
Let v = 14 + -12. Factor -23*z - v + 0 + 23*z + 2*z**2.
2*(z - 1)*(z + 1)
Let q = 48 - 46. Let x(c) be the second derivative of 0 + 3/2*c**2 + 3/2*c**3 + 3/4*c**4 + 3/20*c**5 + q*c. Suppose x(y) = 0. Calculate y.
-1
Let n(y) = 9*y**3 - 13*y**2 - 11*y + 5. Let f = 15 - 16. Let j(c) = -c**3 - c**2 - c + 1. Let s(d) = f*n(d) + 5*j(d). Suppose s(a) = 0. Calculate a.
-3/7, 0, 1
Let g = -225/7 + 10589/329. Let o = g + 88/141. What is c in 0*c - o*c**3 + 0*c**2 + 0 - 2/3*c**4 = 0?
-1, 0
Let p(t) = t**2 + 6*t + 2. Let c be p(0). Determine n, given that -3/5 - 3/5*n**5 - 6/5*n**c - 6/5*n**3 + 9/5*n**4 + 9/5*n = 0.
-1, 1
Factor 3*w**2 - 1/2 - 1/2*w + 11/2*w**4 + 7*w**3 + 3/2*w**5.
(w + 1)**4*(3*w - 1)/2
Let i(n) be the third derivative of -n**5/12 + 5*n**4/12 - 9*n**2. Factor i(f).
-5*f*(f - 2)
Let k(p) be the third derivative of -p**5/60 - p**4/4 - p**3/3 + p**2. Let h be k(-5). Let -2/3*z + 0 - 4/3*z**h + 2*z**2 = 0. Calculate z.
0, 1/2, 1
Let q = -15/19 - -919/1140. Let r(k) be the third derivative of 1/105*k**7 + 2*k**2 + 0*k**5 + 0*k**4 + 0*k + q*k**6 + 0 + 0*k**3. Solve r(i) = 0.
-1, 0
Let s(p) be the first derivative of -4/5*p + 8/25*p**5 + 1/15*p**6 - p**2 - 2 + 2/5*p**4 - 4/15*p**3. Factor s(c).
2*(c - 1)*(c + 1)**3*(c + 2)/5
Let v(t) = 2*t - 9. Let o be v(6). Let y be 8/(-5)*1/(-2). Factor y*c**o - 6/5*c - 2/5 - 4/5*c**2 + 2/5*c**5 + 6/5*c**4.
2*(c - 1)*(c + 1)**4/5
Determine q, given that 0 + 1/3*q**3 + 0*q**2 - 1/3*q = 0.
-1, 0, 1
Let z(q) be the third derivative of -q**10/7560 - q**9/945 - q**8/420 + q**4/8 - 6*q**2. Let r(f) be the second derivative of z(f). Factor r(b).
-4*b**3*(b + 2)**2
Let r(l) = -l**3 - 4*l**2 + 0*l**3 + l + 5*l**2 + 0*l**2. Let h(w) = -42*w**2 - 27*w. Let j(z) = h(z) + 9*r(z). What is m in j(m) = 0?
-3, -2/3, 0
Let l(n) be the second derivative of -n**7/168 + n**6/120 + n**5/80 - n**4/48 + 21*n. Let l(p) = 0. What is p?
-1, 0, 1
Let v(d) be the second derivative of -d**5/20 - d**4/4 - 2*d**3/3 - 3*d**2/2 + 2*d. Let j be v(-2). Factor 0*w**2 + 0*w - 3*w**2 + 4*w - j.
-(w - 1)*(3*w - 1)
Let l = 40 + -38. Factor -6/5*v - 2/5*v**3 + 6/5*v**l + 2/5.
-2*(v - 1)**3/5
Let y(p) = -23*p**2 + p - 2 - p**3 + 23*p**2. Let r be y(-2). Factor -3*o + 2*o + o**r + 3*o**3 - 2*o**2 - o**5 - o**3 + 1.
-(o - 1)**3*(o + 1)**2
Find t such that 12/7*t + 2/7*t**2 + 18/7 = 0.
-3
Let t be (-3)/(36/(-8) - -3). Let u(z) be the second derivative of 0*z**t - 2*z - 4/15*z**6 + 1/2*z**5 - 1/3*z**4 + 1/21*z**7 + 0 + 0*z**3. Factor u(k).
2*k**2*(k - 2)*(k - 1)**2
Let u = 13/48 - -1/16. Let m be ((-20)/25)/((-2)/5). Solve u*j**3 + 0*j**m + 0 + 0*j + 1/3*j**4 = 0.
-1, 0
Let p(l) = 2*l**3 + 4*l**2 - 2*l - 5. Let a(r) = -r**3 + r + 1. Let n(h) = 3*a(h) + p(h). Let x be n(4). Factor -1/2*m**x - 1/2 - m.
-(m + 1)**2/2
Factor 0*z + 1/5*z**2 - 1/5.
(z - 1)*(z + 1)/5
Let b = -88/7 + 454/35. Let l be (33/(-27) - -1) + 80/36. Let -8/5*d**4 + 0 - 8/5*d**l + b*d + 12/5*d**3 + 2/5*d**5 = 0. Calculate d.
0, 1
Let s(u) be the first derivative of u**3 + 15*u**2/2 - 18*u - 3. Let s(n) = 0. What is n?
-6, 1
Let l(i) = -i**3 - 8*i**2 - 2*i - 11. Let n be l(-8). Solve 0*g + 0 - 10/3*g**3 + 32/9*g**n + 4/9*g**2 + 16/3*g**4 = 0 for g.
-2, 0, 1/4
Let j(w) be the first derivative of -7*w**6/15 - 23*w**5/10 - 10*w**4/3 - 4*w**3/3 + 5*w - 4. Let z(m) be the first derivative of j(m). Factor z(c).
-2*c*(c + 1)*(c + 2)*(7*c + 2)
Let b(l) = 6*l**3 + 10*l**2 + 3. Let m(z) = z**3 + z**2 + 1. Suppose 0 = -2*d + 8, -2*a + 0 - 4 = -2*d. Let r(n) = a*b(n) - 14*m(n). Factor r(j).
-2*(j - 2)**2*(j + 1)
Let o(q) = -3*q**3 - 6*q**2 - 6*q. Let j(a) = a**2 + a. Let m(t) = 6*j(t) + o(t). Find g, given that m(g) = 0.
0
Let m(h) be the first derivative of 0*h + 0*h**2 - 1/16*h**4 - 2 + 0*h**3. Factor m(k).
-k**3/4
Suppose 0 = -r + 2*r - 2. Let n be -5*r/(-10)*3. Suppose m**2 + 2*m**4 - n*m**4 + 2*m**3 + m**2 - 3*m**2 = 0. What is m?
0, 1
Let z(j) be the first derivative of -2*j**4 + 6*j**2 - 8*j + 5. Let b(u) = 9*u**3 - 12*u + 8. Let y(h) = -4*b(h) - 5*z(h). Factor y(q).
4*(q - 1)**2*(q + 2)
Let w(q) be the second derivative of q + 5/12*q**4 + 0 + 0*q**2 + 1/6*q**7 - 9/20*q**5 + 1/3*q**3 - 1/6*q**6. Solve w(n) = 0.
-1, -2/7, 0, 1
Let -r**3 + 0*r + 0 - 1/2*r**4 - 1/2*r**2 = 0. What is r?
-1, 0
Let n(h) = h**3 + 6*h**2 - 16*h. Let y be n(-8). Let z(p) be the second derivative of -1/6*p**4 - p + 0*p**2 + y + 0*p**3 + 1/10*p**5. Factor z(l).
2*l**2*(l - 1)
Suppose -3*y = -3, -2*c = -3*y - 9 - 0. Suppose d = -3*r + 12, -3*d + 29 = 4*r - 2. Solve -4 + d*o**2 - c*o + 2 + 2 - 3 = 0 for o.
-1/3, 1
Suppose -2*j = -3*c - 4, -4*c - 2 = -2*j + 2. Let k(a) be the first derivative of 1/2*a**4 + 8*a + 8*a**2 + 10/3*a**3 + j. Let k(p) = 0. Calculate p.
-2, -1
Let l(g) = 7*g**2 + 14*g + 31. Let a(d) = d**2 - d + 1. Let y(c) = -4*a(c) + l(c). Factor y(s).
3*(s + 3)**2
Let q be 2*(-1)/(-4) + 1. Let 1/2 + 5/4*d + 1/4*d**4 - 11/4*d**3 + q*d**5 - 3/4*d**2 = 0. What is d?
-1, -2/3, -1/2, 1
Let u = 6 - 4. Let l = 11 + -7. Factor u*o**2 - o**l + o + o**5 - 1 - o - 2*o**3 + o.
(o - 1)**3*(o + 1)**2
Let o(b) be the second derivative of b**6/6 - 3*b**5/4 - 25*b**4/12 + 5*b**3/2 + 10*b**2 - 9*b. Solve o(u) = 0 for u.
-1, 1, 4
Let u be 12/4 + 11 + -1. Suppose -2*o + p + 7 = -0*o, -u = o + 5*p. Factor -2/9*t**3 - 2/9*t**o + 0*t + 0.
-2*t**2*(t + 1)/9
Solve -2/3 + 2/3*t**2 - 1/3*t**3 + 1/3*t = 0 for t.
-1, 1, 2
Let -4/3*r**4 - 428*r**2 - 136/3*r**3 - 2176/3*r - 1024/3 = 0. What is r?
-16, -1
Determine a so that 41/4*a**3 - 1 + 5/4*a**4 - 25/4*a**5 - 1/4*a**2 - 4*a = 0.
-1, -2/5, 1
Let f(k) be the first derivative of 3*k**4 + 4*k**3/3 - 24*k**2 - 16*k + 32. Factor f(z).
4*(z - 2)*(z + 2)*(3*z + 1)
Let x(c) be the second derivative of -c**5/30 + c**4/3 - 4*c**3/3 + 8*c**2/3 + 3*c. Solve x(y) = 0.
2
Let q = -4 + 18. Let a be (1/q)/((-4)/(-14)). Factor 0*s + a*s**4 + 3/4*s**3 + 0 + 1/2*s**2.
s**2*(s + 1)*(s + 2)/4
Factor -5*x**2 - 28*x**4 + 31*x**2 + 36*x**3 + 16*x**2 - 16*x + 6*x**2.
-4*x*(x - 2)*(x + 1)*(7*x - 2)
Find w such that 16/3*w**3 - 4/3*w**4 + 0*w + 0 - 4*w**2 = 0.
0, 1, 3
Let g(s) = 12*s**3 + 12*s**2 - 16*s - 12. Let l(y) = y**4 - 11*y**3 - 12*y**2 + 16*y + 13. Let o(n) = 3*g(n) + 4*l(n). Solve o(h) = 0.
-1, 2
Let o(z) be the first derivative of -1/5*z**5 - 1/6*z**2 - 2/3*z + 5/9*z**3 - 1 + 1/12*z**4. What is n in o(n) = 0?
-1, -2/3, 1
Suppose x + 2 = 3. Let w be 0 + x/(-4)*0. Factor w*z + 1/4*z**2 + 0.
z**2/4
Let l(v) = v + 6. Let y be l(-4). Factor -d - 3*d - 2*d + 2*d - y*d**2.
-2*d*(d + 2)
Suppose -5*y + 19 + 1 = 0. Suppose -z = y*z - 10. Let 0 - 8/9*c**4 + 0*c - 2/9*c**5 - 10/9*c**3 - 4/9*c**z = 0. What is c?
-2, -1, 0
Let d(b) be the first derivative of -3*b**6/8 - 3*b**5/5 + 15*b**4/16 + b**3/2 - 34. Solve d(j) = 0 for j.
-2, -1/3, 0, 1
Let k(s) = s + 8. Let v be k(-8). Let m = v - -2. Factor 0*x + 0*x**3 - 2/9*x**4 + 0 + 2/9*x**m.
-2*x**2*(x - 1)*(x + 1)/9
Let t(l) = -2*l**3 + l - 4*l**2 + l**2 - 2 + 4. Let d be t(-2). What is f in -1/2*f**3 + 1/4*f**d - 1/4 + 1/2*f + 0*f**2