 o(x) = -x**4 + x**2 - x + 1. Let h(k) = -8*k**4 + 8*k**3 - 4*k + 4. Let d(s) = h(s) - 4*o(s). What is a in d(a) = 0?
0, 1
Let x(j) = 9 + 3*j - 4*j + 6. Let q be x(13). Factor -1/3*i**3 + 0 - 1/3*i - 2/3*i**q.
-i*(i + 1)**2/3
Solve -21*b**2 - 2 + 26*b**2 + 15*b + 12 = 0 for b.
-2, -1
Let g = -5/14 - -9/14. Find z such that 2/7*z**3 + 6/7*z + g + 6/7*z**2 = 0.
-1
Let q(v) be the third derivative of -3*v**2 + 1/48*v**4 + 1/240*v**6 + 0*v**3 - 1/60*v**5 + 0*v + 0. Factor q(y).
y*(y - 1)**2/2
Let s(p) = 7*p**2 - 4*p**2 - 4*p + 3*p**3 - 4*p**3. Let k = 48 - 42. Let y(r) = r**3 - 2*r**2 + 4*r. Let j(f) = k*s(f) + 7*y(f). Let j(a) = 0. Calculate a.
-2, 0
Let k be (-4)/(-3)*3/2. Let h**2 + 3*h - 4*h**k - 2*h**2 + 2*h**2 = 0. What is h?
0, 1
Let l(o) be the second derivative of -o**6/15 + 4*o**5/5 + 3*o**4/2 + 2*o + 14. Factor l(a).
-2*a**2*(a - 9)*(a + 1)
Factor 2/7*i + 0 - 2/7*i**2.
-2*i*(i - 1)/7
Let c(a) be the third derivative of a**6/80 + 3*a**5/40 + a**4/8 + 45*a**2. Suppose c(p) = 0. What is p?
-2, -1, 0
Let s(n) be the first derivative of -n**4/18 - 2*n**3/27 + n**2/9 + 2*n/9 + 22. Determine l, given that s(l) = 0.
-1, 1
Let v = 2 + -2. Suppose v = 5*p - 11 - 4. Factor -4*t**3 - 1 - 3 + 3*t**2 + 5*t**p.
(t - 1)*(t + 2)**2
Let l(g) be the second derivative of -g**7/735 + g**6/210 - g**5/210 + g**2/2 - 6*g. Let i(t) be the first derivative of l(t). Suppose i(y) = 0. What is y?
0, 1
Let d be 2 - ((-5)/4)/((-18)/24). Let m(n) be the first derivative of 1/6*n**2 - 2 + 2/15*n**5 - d*n + 1/3*n**3 - 5/12*n**4. Solve m(w) = 0 for w.
-1/2, 1
Let n(h) be the second derivative of 0 - 8*h - 1/8*h**3 + 3/80*h**5 - 1/24*h**4 + 1/4*h**2. Find c, given that n(c) = 0.
-1, 2/3, 1
Let y be 4/3*(-54)/(-12). Let k be (y/(-8))/(2/(-8)). Solve -4/7*q**k + 0 + 2/7*q**2 + 2/7*q**4 + 0*q = 0 for q.
0, 1
Let q = -71 + 71. Factor 0 + 4/3*b**2 - 2/3*b**3 + q*b.
-2*b**2*(b - 2)/3
Let t(k) = k - 5. Let p be t(0). Let b(g) = -2*g**2 + 5*g + 5. Let z(d) = d**2 - 3*d - 3. Let i(a) = p*z(a) - 3*b(a). Suppose i(r) = 0. Calculate r.
0
Let j be 60/18*(-12)/(-10). Let w(n) be the second derivative of 0 - 7/6*n**3 + 2*n + 5/12*n**j + n**2. Suppose w(y) = 0. What is y?
2/5, 1
Let l be ((-6)/(-108))/((-1)/(-3)). Let z(b) be the first derivative of -2/9*b**3 - 4/15*b**5 + 0*b - 1 + 7/12*b**4 - l*b**2. Factor z(w).
-w*(w - 1)**2*(4*w + 1)/3
Let l be ((-40)/(-50))/(2/(-50)). Let r be (-5)/l - 2/8. Determine n, given that r + 0*n**2 + 2/5*n**3 - 2/5*n = 0.
-1, 0, 1
Factor 14*u**3 + u**4 - 14*u**2 + u**4 + 22*u**2 - 6*u**3.
2*u**2*(u + 2)**2
Let w = 3/19 + 29/57. Let c = -7 - -9. Factor 8*n - w*n**4 - 16/9 + 38/9*n**3 - 28/3*n**c.
-2*(n - 2)**3*(3*n - 1)/9
Let i(y) be the second derivative of 9*y - 1/3*y**3 - 1/18*y**4 - 2/3*y**2 + 0. Factor i(v).
-2*(v + 1)*(v + 2)/3
Let n(x) = 3*x**2 - 12*x + 3. Let p(m) = -6*m**2 + 23*m - 7. Let l(h) = -5*n(h) - 3*p(h). Suppose l(y) = 0. What is y?
1, 2
What is d in 0 - 21/5*d**3 - 27/5*d - 3/5*d**4 - 9*d**2 = 0?
-3, -1, 0
Let j = 17 + -16. Factor -n**2 - j - 1 - 5*n + n - 1.
-(n + 1)*(n + 3)
Let y(f) = -f + 8. Let l be y(4). Factor 2*u**l + 3*u**2 - 6*u**3 + 0*u**3 + u**2.
2*u**2*(u - 2)*(u - 1)
Suppose 0*v**2 + 50*v**3 + 18 - 48*v**3 + 30*v + 14*v**2 = 0. Calculate v.
-3, -1
Let g(j) be the third derivative of -j**7/140 + j**6/40 - j**5/40 - 7*j**2. Factor g(a).
-3*a**2*(a - 1)**2/2
Let q(b) be the first derivative of -4*b**5/35 + 4*b**4/7 - 16*b**3/21 - 12. Factor q(g).
-4*g**2*(g - 2)**2/7
Suppose r = 8 - 3. Suppose -w + 4*q + 16 = w, 4*w + q = r. Factor -w*n**4 - 2*n**5 + 4*n**4 - 2*n**2 - 2*n**3 + 4*n**5.
2*n**2*(n - 1)*(n + 1)**2
Let h(z) be the first derivative of z**6/3 - 12*z**5/5 + 7*z**4 - 32*z**3/3 + 9*z**2 - 4*z - 59. Suppose h(q) = 0. Calculate q.
1, 2
Let x = -9/2 + 5. Let i(n) be the first derivative of 2 - x*n**2 + 1/3*n**3 + 0*n. Suppose i(w) = 0. Calculate w.
0, 1
Let m(z) = -6*z**4 + 3*z**3 + 6*z**2. Let i(r) = -13*r**4 + 6*r**3 + 13*r**2 + r. Let k(u) = -3*i(u) + 7*m(u). Factor k(p).
-3*p*(p - 1)**2*(p + 1)
Let w(r) = -r**2 - 8*r + 2. Let a be w(-8). Suppose -a*u = t - 7, 5*t - 6 = -u + 11. Factor -2/7*v**4 + 2/7*v**t + 0 + 0*v + 0*v**2.
-2*v**3*(v - 1)/7
Suppose -3*m + 4*m - 1 = 0. Let h be m/4 + (-1)/36. Factor 2/9*w**3 + h + 2/3*w + 2/3*w**2.
2*(w + 1)**3/9
Factor 0*v**2 + 2/3*v - 2/3*v**3 + 0.
-2*v*(v - 1)*(v + 1)/3
Let t be (2/4)/((-1)/(-4)). Let v = 0 + 0. Find d, given that v*d + 0 - 1/2*d**t - 1/4*d**3 = 0.
-2, 0
Let r be 650/(-143) + 3 + 1. Let o = 4/33 - r. What is b in 6 + o*b**2 - 4*b = 0?
3
Let c(k) be the third derivative of -k**6/120 - k**5/10 - 11*k**4/24 - k**3 + 27*k**2. What is g in c(g) = 0?
-3, -2, -1
Let g(d) = -4*d**2 + 10*d. Let u(q) = -q**2 + 3*q. Let l(r) = 2*g(r) - 7*u(r). Find k such that l(k) = 0.
-1, 0
Let l(m) = 7*m**3 + 9*m**2 - 5*m - 5. Let d(p) = 13*p**2 - p**3 + 11*p**3 + 0*p - 7 - 7*p. Let g(n) = 5*d(n) - 7*l(n). Find h, given that g(h) = 0.
-2, 0
Let n(m) be the second derivative of -3*m**5/10 - 7*m**4/6 + 4*m**2 + 4*m. Find g such that n(g) = 0.
-2, -1, 2/3
Let c be (-8)/(-10)*455/(-78). Let u = c - -5. Factor -u*s + 0 - 7/3*s**3 + 5/3*s**2 + s**4.
s*(s - 1)**2*(3*s - 1)/3
Let u(j) be the second derivative of j**7/42 - j**6/15 + j**4/6 - j**3/6 - 11*j. Factor u(h).
h*(h - 1)**3*(h + 1)
Let i = -7 + 10. Factor -2*j**2 - 4*j**2 - j**i - 3*j**2 - j + 7*j**2.
-j*(j + 1)**2
Let o(k) be the first derivative of 49*k**4/16 - 7*k**3/4 - 3*k**2 - k - 4. What is d in o(d) = 0?
-2/7, 1
Suppose 14/3 - 16/3*o + 2/3*o**2 = 0. Calculate o.
1, 7
Factor 0 - 5/4*r**2 - 3/4*r.
-r*(5*r + 3)/4
Let b(u) be the second derivative of 1/11*u**3 + 0 - 3/110*u**5 + 2*u + 2/11*u**2 - 1/66*u**4 - 1/165*u**6. Let b(a) = 0. What is a?
-2, -1, 1
Suppose -11*i - 36 + 69 = 0. Determine k so that k**i - 5/2*k**2 - k + 5/2*k**4 + 0 = 0.
-1, -2/5, 0, 1
Let i(b) be the first derivative of b**5/30 - b**3/6 - b**2/6 + 14. Factor i(a).
a*(a - 2)*(a + 1)**2/6
Solve 49/3 + 35/3*c + 1/3*c**3 - 13/3*c**2 = 0 for c.
-1, 7
Let z be ((-1197)/245 - -5)/(2/7). Factor 0*t - z + 2/5*t**2.
2*(t - 1)*(t + 1)/5
Let q(l) be the second derivative of l**5/10 + l**4 + 4*l**3 + 8*l**2 - 35*l. Factor q(s).
2*(s + 2)**3
Let q(u) = -4*u**4 - 44*u**3 - 60*u**2 + 44*u + 40. Let z(a) = a**4 + 9*a**3 + 12*a**2 - 9*a - 8. Let m(j) = 5*q(j) + 24*z(j). Solve m(k) = 0 for k.
-1, 1, 2
Factor 1/2 + 1/2*j**2 + j.
(j + 1)**2/2
Let s(h) be the first derivative of 4/3*h**2 + 175/18*h**6 + 76/9*h**3 + 43/2*h**4 + 73/3*h**5 - 5 + 0*h. Solve s(x) = 0.
-1, -2/5, -2/7, 0
Let f(p) = 7*p**3 - 30*p**2 + 15*p + 8. Let y(v) = 5*v**3 - 20*v**2 + 10*v + 5. Let j(g) = -5*f(g) + 8*y(g). Determine x so that j(x) = 0.
0, 1
Find y such that -3/7 + 5/7*y - 1/7*y**2 - 1/7*y**3 = 0.
-3, 1
Let x(w) be the second derivative of w**5/110 + 5*w**4/22 + 25*w**3/11 + 125*w**2/11 - 10*w. Factor x(t).
2*(t + 5)**3/11
Let u be 7/21 + ((-2)/(-1) - 2). Determine p, given that u + 2/3*p - 2/3*p**3 - 1/3*p**4 + 0*p**2 = 0.
-1, 1
Let s(b) be the first derivative of b**3/12 + b**2/2 + 3*b/4 + 39. Factor s(j).
(j + 1)*(j + 3)/4
Find w, given that 1/2*w**2 - 1/2 + 3/4*w = 0.
-2, 1/2
Suppose 4*q = -q + 10. Let c be (6/(-8))/(1/(-4)). Solve -5*d**3 + 2*d**c + q*d + d**4 - 3*d + 3*d**2 = 0.
0, 1
Let r(l) = -l**2 - 3*l - 3. Let u be r(-3). Let s = 6 + u. What is p in 0 - 12*p - 3 - 18*p**2 - 12*p**s - 6*p - 3*p**4 + 6*p = 0?
-1
What is f in 2/3*f**2 + 2*f**3 + 0 + 0*f - 8/3*f**4 = 0?
-1/4, 0, 1
Let h(x) be the third derivative of x**6/120 + x**5/30 - x**4/24 - x**3/3 - 14*x**2. Factor h(m).
(m - 1)*(m + 1)*(m + 2)
Let u be (1/(-3))/((-6)/(-126)). Let r = u + 7. Factor 2/9*t**3 - 2/9*t**4 + 2/9*t**2 - 2/9*t + r.
-2*t*(t - 1)**2*(t + 1)/9
Let x(k) be the third derivative of 0*k**3 + 0 - 1/525*k**7 - 1/50*k**5 + 1/60*k**4 + 0*k + 1/100*k**6 + 2*k**2. Solve x(c) = 0 for c.
0, 1
Suppose -4 = -3*z - 1. Let p be (2/(-4))/(z/(-6)). Factor 0*l**4 + 0*l - 2/3*l**p + 0 + 0*l**2 + 2/3*l**5.
2*l**3*(l - 1)*(l + 1)/3
Let t(x) = -7*x**3 - 3*x**2 - 8*x - 6. Let u(g) = -6*g**3 - 3*g**2 - 7*g - 5. Let i(k) = -5*t(k) + 6*u(k). Find o such that i(o) = 0.
-2, -1, 0
Suppose -7*o - o**2 - 1 - o**3 - 3*o**2 + o**2 + 4*o = 0. What is o?
-1
Suppose -4*p = -p - 15. Let l(v) be the first derivative of -1/7*v**4 + 0*v + 2/21*v**3 + 2/21*