23*q**2 + 2. Determine d so that a(d) = 0.
-4, -1, -2/5, 0
Let c(s) be the first derivative of s**6/780 + s**5/130 + s**2 - 7. Let h(m) be the second derivative of c(m). Factor h(w).
2*w**2*(w + 3)/13
Let u(m) = -m**3 - m**2 - 1. Let d(r) be the third derivative of r**6/20 + r**5/15 - r**4/24 + r**3 - 8*r**2. Let s(i) = d(i) + 5*u(i). Factor s(y).
(y - 1)**2*(y + 1)
Let k = 422/7 + -59. Solve -6/7*i**3 - 9/7*i**4 + 0 + 6/7*i + k*i**2 = 0 for i.
-1, -2/3, 0, 1
Let z(k) = 5*k**3 + 75*k**2 + 320*k - 5. Let r(w) = -10*w**3 - 153*w**2 - 641*w + 9. Let i(a) = 5*r(a) + 9*z(a). What is t in i(t) = 0?
-13, -5, 0
Let n be 0 + -5 + (-82)/(-16). Let y(x) be the first derivative of 5/4*x**2 + x - 5 + n*x**4 + 2/3*x**3. Factor y(w).
(w + 1)**2*(w + 2)/2
Let d(c) = c**2 - 4*c + 7. Let l be d(4). Determine p so that -l*p**2 + 4*p**2 - 5*p + 8*p**2 - 3*p**3 - 5*p**4 + 8*p**3 = 0.
-1, 0, 1
Let q(v) be the first derivative of -4/9*v**3 + 2/3*v**4 + 0*v**5 - v**2 - 5 - 1/9*v**6 + 4/3*v. Solve q(z) = 0.
-2, -1, 1
Let r(c) = 6*c - 9. Let a be r(3). Suppose 0 = p - w - a, -2*w + 12 = -5*w. Determine k so that k**4 + 11/3*k**3 + 3*k + p*k**2 + 2/3 = 0.
-1, -2/3
Let m be -1*(-9 - -3)*1. Suppose m*c - 11 = 5*c. Solve -11 - r**2 + r + c = 0 for r.
0, 1
Let t(o) be the second derivative of -o**6/300 + o**4/20 - 2*o**3/15 - 17*o**2/2 - 14*o. Let n(i) be the first derivative of t(i). Factor n(r).
-2*(r - 1)**2*(r + 2)/5
Let b = 77/15 + -13/3. What is q in 0 - 8/5*q + b*q**2 = 0?
0, 2
Let s be (-2 + (-40)/(-15))*-12. Let u be (-45)/(-54)*s/(-10). Factor 0 - 7/3*n**2 + u*n.
-n*(7*n - 2)/3
Solve 2*o**2 - o**3 - 8*o + 5*o**3 - 2*o**2 + o**2 + 3*o**2 = 0 for o.
-2, 0, 1
Determine x so that 80/17 - 2/17*x**3 - 14/17*x**2 + 4*x = 0.
-10, -1, 4
Suppose 2/5*a**3 - 4/5*a**2 - 8/5 - 14/5*a = 0. What is a?
-1, 4
Let r(m) = -m**3 - 8*m**2 - 3*m - 8. Let t be r(-8). Let q = -7 + t. Factor q*y - 16*y + 9*y - y**2 - y**3.
-y*(y - 1)*(y + 2)
Let v(k) be the first derivative of 5*k**3/3 - 425*k**2/2 + 420*k + 395. Solve v(o) = 0.
1, 84
Let n be ((-3)/252*8)/((-12)/28). Factor -2/9*d**3 + 2/9*d**2 + n*d - 2/9.
-2*(d - 1)**2*(d + 1)/9
Let m(w) = w**2 - 10*w + 19. Let t be m(9). Let k(l) = -l**2 + 10*l + 4. Let f be k(t). Solve -9*u**2 + 3*u**2 + 7*u**2 - f = 0.
-2, 2
Let x(u) be the first derivative of 4*u**3/15 - 9*u**2/5 + 14*u/5 - 30. Suppose x(o) = 0. Calculate o.
1, 7/2
Let s be 42/112 + (-23)/(-920). Suppose -3/5 + s*u + 1/5*u**2 = 0. Calculate u.
-3, 1
Let z be -2*(-5)/60 - 124/(-120). Let j(t) = t**3 - 20*t**2 + t - 17. Let n be j(20). Determine w, given that 2*w**2 - 2/5*w**n - z*w - 18/5 = 0.
-1, 3
Let m(p) be the first derivative of 14*p**5/15 + 10*p**4/3 + 38*p**3/9 + 2*p**2 - 120. Determine z, given that m(z) = 0.
-1, -6/7, 0
Suppose -259*f - 120 = -299*f. Let 0 + 0*s - 10/3*s**f + 5/3*s**4 + 5/3*s**2 = 0. Calculate s.
0, 1
Let n be (-7 - -8)*6/(-1). Let x(t) = -2*t**3 + 6*t**2 - 15*t - 11. Let c(k) = -k**3 + 3*k**2 - 8*k - 6. Let j(y) = n*x(y) + 11*c(y). Let j(f) = 0. What is f?
0, 1, 2
Let t = -14887/8 - -1861. Factor 1/4*i + 0*i**3 + t*i**4 + 0 - 3/8*i**2.
i*(i - 1)**2*(i + 2)/8
Let c be 2/(-7 + (-5 - -7) + 6). Let k(i) be the first derivative of 1/5*i**c - 4/15*i**3 - 1/10*i**4 - 13 + 4/5*i. Factor k(w).
-2*(w - 1)*(w + 1)*(w + 2)/5
Suppose d + d + 24 = 0. Let a = -7 - d. Let 20*k + 4 + 6*k**2 + 5*k**2 + 9*k**2 + a*k**2 = 0. Calculate k.
-2/5
Factor 3/8*n**5 + 3/4 + 0*n**4 + 9/8*n - 3/4*n**2 - 3/2*n**3.
3*(n - 2)*(n - 1)*(n + 1)**3/8
What is y in 175/2*y + 30625/4 + 1/4*y**2 = 0?
-175
Let u be 15/3*(4 + (-64)/20). Suppose -i - 3*i**3 - 11*i**u + 12*i**4 + 5*i**2 - 2*i**2 = 0. Calculate i.
0, 1
Let k(f) = f**2 + 2*f + 1. Let r(q) = 15*q**2 + 78*q + 9. Let t(z) = -14*k(z) - 2*r(z). Suppose t(a) = 0. What is a?
-4, -2/11
Let z(v) be the third derivative of 7/24*v**6 + 5/4*v**5 + 1/42*v**7 + 0*v**3 + 0*v + 0 + 43*v**2 + 15/8*v**4. Find g, given that z(g) = 0.
-3, -1, 0
Factor 56/3 - 2/3*d**2 + 8*d.
-2*(d - 14)*(d + 2)/3
Suppose s - 2*o + o = -8, -3*s = -2*o + 21. Let x(d) = -10*d**2 + 10. Let c(i) = i**3 - i**2 - i + 1. Let g(k) = s*c(k) + x(k). Factor g(z).
-5*(z - 1)*(z + 1)**2
Let n(p) = -p**2 + 18*p - 11. Let c be n(5). Let u be (3/c)/(4/24). Solve u*m**2 + 1/3 + 2/3*m = 0.
-1
Let t(y) be the first derivative of -3*y**5/5 - 21*y**4/4 - 6*y**3 + 57. Suppose t(f) = 0. Calculate f.
-6, -1, 0
Let b be 4/10 - (-4)/140. Let l = 4668 - 32673/7. Factor -b*q**2 + 0 + l*q.
-3*q*(q - 1)/7
Determine s, given that 11*s**4 + 15*s - 2*s**5 + 0*s**4 - 20*s**2 + 3*s**5 - 10*s**3 + 9*s**4 - 6*s**5 = 0.
-1, 0, 1, 3
Let w(y) be the third derivative of y**5/40 + 27*y**4/16 - 49*y**2. Factor w(v).
3*v*(v + 27)/2
Let n(t) be the second derivative of -t**7/294 - t**6/35 - 3*t**5/35 - 5*t**4/42 - t**3/14 - t + 6. Let n(c) = 0. What is c?
-3, -1, 0
Suppose 0*o + 2*o = -3*g - 149, -4*o - 157 = 3*g. Let m = 52 + g. Solve -1/2*v**3 + 5/4*v**m - 3/4*v**4 + 0 + 0*v + 0*v**2 = 0 for v.
-2/5, 0, 1
Let d = -1147/8 - -631/4. Let x(g) be the first derivative of -45/16*g**4 - 5*g + d*g**2 - 7 - 25/2*g**3. Suppose x(p) = 0. What is p?
-4, 1/3
Let i(k) be the third derivative of 1/1176*k**8 + 0*k + 0*k**3 + 0 - 15*k**2 - 1/105*k**5 - 1/420*k**6 + 2/735*k**7 + 0*k**4. Let i(c) = 0. Calculate c.
-2, -1, 0, 1
Let o(s) be the second derivative of 0 - 1/21*s**3 - 1/210*s**5 + 5*s - s**2 - 1/42*s**4. Let k(q) be the first derivative of o(q). Factor k(i).
-2*(i + 1)**2/7
Let h(n) be the second derivative of n**5/35 + 3*n**4/7 + 46*n**3/21 + 30*n**2/7 + 6*n - 1. Solve h(a) = 0.
-5, -3, -1
Suppose 1405*b**3 - 738*b**4 + 28*b**5 - 17 - 15 + 224*b - 2349*b**3 - 190*b**5 - 112*b**2 = 0. Calculate b.
-2, -1, 2/9
Let d be (-8)/(-24) + 1/(-9). Let n(j) be the first derivative of -d*j**2 + 8/9*j - 4/27*j**3 + 7. Suppose n(x) = 0. What is x?
-2, 1
Find t, given that 6724/7 - 53628/7*t + 2616/7*t**3 + 106273/7*t**2 + 16/7*t**4 = 0.
-82, 1/4
Let 28*c - 11*c**4 + 18*c**4 + 8*c**2 + 30*c**2 + 14*c**2 - 11*c**4 + 20*c**3 = 0. What is c?
-1, 0, 7
Let w be (-11)/(-2) + (-255)/102. Determine b, given that -2/9*b**w - 4/9*b**2 + 0 + 0*b = 0.
-2, 0
Let f(q) = -q**2 - 6*q - 6. Let r be f(-3). Factor -21*h**3 + 3*h**2 + 9*h**r + 6*h**3 - 2*h + 5*h**3.
-h*(h - 2)*(h - 1)
Let h be 1014/210 + -5 + 15/25. Let n = -14/19 - -155/133. Factor h*f + 6/7*f**4 + 0*f**3 - 6/7*f**2 - n*f**5 + 0.
-3*f*(f - 1)**3*(f + 1)/7
Let j(r) be the second derivative of -1/130*r**5 + 0 - 1/26*r**4 - 31*r - 1/13*r**3 - 1/13*r**2. Factor j(s).
-2*(s + 1)**3/13
Let p(u) = u**2 + 12*u - 4*u - 4*u**2 - 6*u**2 - 4. Let n(b) = 14*b**2 - 12*b + 6. Let q(o) = -5*n(o) - 8*p(o). Find x, given that q(x) = 0.
1
Let w(y) = -y. Let t(b) = 75843*b**2 - 949*b + 3. Let p(r) = t(r) + 5*w(r). Let p(k) = 0. What is k?
1/159
Let k be (-3)/(-5) - 144/240. Let x(p) be the third derivative of -1/60*p**5 - 3*p**2 + 0*p**3 + k + 1/24*p**4 - 1/120*p**6 + 0*p + 1/210*p**7. Factor x(g).
g*(g - 1)**2*(g + 1)
Let r(k) = -22*k**5 - 26*k**4 + 2*k**3 + 52*k**2 + 20*k - 2. Let u(x) = x**5 - 3*x**4 - x**3 - 1. Let p(j) = -r(j) - 6*u(j). What is a in p(a) = 0?
-2, -1, 1/4, 1
Let h be 0 + (-1)/5*-3. Let z = 49057/20 + -9809/4. Factor -z*y**3 + h*y - 3/5*y**2 + 3/5.
-3*(y - 1)*(y + 1)**2/5
Let m = -9337/4 + 46701/20. Factor 0*r - 1/5*r**4 + 0 + r**3 - m*r**2.
-r**2*(r - 4)*(r - 1)/5
Let x(h) = h**3 + 2 - 8*h + 4*h**2 - 5*h**2 + 6*h. Let n be x(0). Factor 40*m**3 - 13*m**2 + 36*m**5 + 66*m**4 - 12*m**2 + 33*m**n.
2*m**2*(2*m + 1)*(3*m + 2)**2
Let h(u) be the second derivative of -u**6/60 + 3*u**5/40 - u**4/8 + u**3/12 + 578*u. Determine j, given that h(j) = 0.
0, 1
Let g(v) be the second derivative of 0*v**4 - 18*v - 3/20*v**5 + 0 + 1/10*v**6 + 0*v**2 + 0*v**3. Determine i so that g(i) = 0.
0, 1
Find k such that 15857*k - 85593*k - 80158*k**2 - 4620*k**3 - 8804*k - 13005 - 80503*k**2 - 45*k**4 + 40551*k**2 = 0.
-51, -1/3
Let c = -4561 + 4566. Factor -81*d**2 + 243/4*d + 0 + 81/2*d**3 - 9*d**4 + 3/4*d**c.
3*d*(d - 3)**4/4
Let w(g) = 4*g**3 - 2*g**2 - 2*g + 3. Let p be w(1). Factor 11*b**2 - p*b + 4 - 39*b**2 - 30*b**3 + 9*b.
-2*(b + 1)*(3*b + 1)*(5*b - 2)
Let s(u) be the second derivative of u**5/50 - 11*u**4/15 + 28*u**3/3 - 40*u**2 + 3*u. What is h in s(h) = 0?
2, 10
Suppose 0 - 2/11*r**4 + 2/11*r**2 +