0 - a**4/120 + 11*a**2. Factor z(i).
-i*(i + 1)/5
Let x be (0*4/12)/(2/1). Let 1/6*n**2 - 1/3*n + x = 0. Calculate n.
0, 2
Let f(m) be the second derivative of m**7/42 - m**6/10 + m**5/20 + m**4/4 - m**3/3 + 16*m. Determine y so that f(y) = 0.
-1, 0, 1, 2
Suppose 0 = -2*p + 9 + 1. Determine n, given that -15*n**3 + 43*n**4 - 124*n**4 - 72*n - 15*n**p - 12 - 159*n**2 + 36*n**3 - 186*n**3 = 0.
-2, -1, -2/5
Let j be (1/(-7))/(240/(-56)). Let i(v) be the second derivative of 1/3*v**3 + 0*v**4 + 2*v - j*v**6 - 1/10*v**5 + 1/2*v**2 + 0. Factor i(q).
-(q - 1)*(q + 1)**3
Solve 14 - 12*h - 62 + 19 + 20 - 3*h**2 = 0.
-3, -1
Let h(f) be the first derivative of -f**3/3 + 3*f**2 - 8. Let i be h(6). Let i - 1/3*l**2 + 0*l = 0. What is l?
0
Solve 20/3*x + 4/3 + 40/3*x**2 + 20/3*x**4 + 40/3*x**3 + 4/3*x**5 = 0 for x.
-1
Let g(l) be the third derivative of -l**7/168 - l**6/96 + l**5/48 + 5*l**4/96 - l**2. Factor g(k).
-5*k*(k - 1)*(k + 1)**2/4
Let y = 5 - 9. Let v = y - -7. Determine m, given that -m**2 - 4 - 4*m + v + 6*m = 0.
1
Let l(k) = -5*k**2 + 20*k - 5. Let m(f) = -5*f**2 + 21*f - 4. Let r(h) = 6*l(h) - 5*m(h). Factor r(n).
-5*(n - 2)*(n - 1)
Suppose -8 = 15*k - 17*k. Let s(o) be the first derivative of -1/7*o**2 - 3/14*o**4 - 2/35*o**5 + 0*o - 2/7*o**3 - k. Factor s(d).
-2*d*(d + 1)**3/7
Let r = 1 - 1. Let x(b) = -b + 4. Let n be x(r). Determine a, given that 6*a**4 - 4*a**2 + 4*a**3 - 2*a**5 + 0*a**2 - 2 - 6*a + n*a**5 = 0.
-1, 1
Let n(p) be the second derivative of p**7/21 + 17*p**6/75 + 21*p**5/50 + 11*p**4/30 + 2*p**3/15 - 3*p. Factor n(b).
2*b*(b + 1)**3*(5*b + 2)/5
Let k(y) = 8*y**3 - 12*y + 10. Let x(q) = -23*q**3 + 35*q - 29. Let t = 125 + -62. Let z be 18/t + (-88)/14. Let o(l) = z*x(l) - 17*k(l). What is w in o(w) = 0?
-2, 1
Let c = 3 + -1. What is y in -14*y**3 + 81 + 2*y**3 + 5*y**4 - 4*y**4 + 54*y**c - 108*y = 0?
3
Suppose 4*t = -2*c, 0 = c - 2*c. Factor 2*f**3 + 0*f**3 + t*f - f - f**5.
-f*(f - 1)**2*(f + 1)**2
Let m = 6 - 3. Factor -a**4 + m*a**4 - a**5 + 0*a**5 - a**3.
-a**3*(a - 1)**2
Factor 0*x**4 + 3*x**4 - 4*x**2 + 4*x**3 + x**4 - 4*x**5.
-4*x**2*(x - 1)**2*(x + 1)
Factor 2/9*x**5 + 8/9*x**3 + 4/9 + 4/9*x**2 - 8/9*x**4 - 10/9*x.
2*(x - 2)*(x - 1)**3*(x + 1)/9
Let t(d) be the first derivative of -d**5/80 + d**3/8 - d**2/4 - 2*d - 1. Let s(r) be the first derivative of t(r). Factor s(g).
-(g - 1)**2*(g + 2)/4
Let g = -239/6 - -40. Let j(c) be the second derivative of -1/12*c**4 + c - g*c**2 + 0 - 1/60*c**5 - 1/6*c**3. Find x, given that j(x) = 0.
-1
Let q(h) = 3*h**4 - 3*h**2 - 2*h. Suppose 2*s + 2 = 6. Let i(p) = -7*p**4 + 7*p**2 + 5*p. Let u(y) = s*i(y) + 5*q(y). Factor u(l).
l**2*(l - 1)*(l + 1)
Let t(u) = 2*u - 1. Let b = 15 + -12. Let s be t(b). Suppose -48/11*y**4 - 18/11*y**3 + 0 + 0*y - 32/11*y**s - 2/11*y**2 = 0. What is y?
-1, -1/4, 0
Suppose -4*k + 12 = -0*k. Factor q**2 + q**3 - 2*q**2 + 0*q**k.
q**2*(q - 1)
Let m(s) = 38*s**3 - 83*s**2 + 52*s - 7. Let n(j) = 265*j**3 - 580*j**2 + 365*j - 50. Let i(r) = -20*m(r) + 3*n(r). Factor i(g).
5*(g - 1)**2*(7*g - 2)
Let l(g) be the second derivative of g**8/1680 - g**7/1680 - g**6/720 - g**3/6 + 4*g. Let p(y) be the second derivative of l(y). Factor p(o).
o**2*(o - 1)*(2*o + 1)/2
Let f(q) be the third derivative of -q**8/1176 + q**7/735 + 18*q**2. Factor f(c).
-2*c**4*(c - 1)/7
Factor 3*m**2 - 117*m**3 + 3*m**5 + 0*m**2 - 3*m**4 + 114*m**3.
3*m**2*(m - 1)**2*(m + 1)
Let x(c) = 5*c**4 - 10*c**2. Let b(i) = -i**3. Let o(h) = -5*b(h) - x(h). Find p such that o(p) = 0.
-1, 0, 2
Factor -16*b - 16*b + b**3 - 16 + 3*b**3 + 4*b - 8*b**2.
4*(b - 4)*(b + 1)**2
Let b = -214 + 445/2. Let z = 9 - b. Factor z*j**2 - 1/2*j - 1.
(j - 2)*(j + 1)/2
Let x(t) = -t**2 + 24*t + 147. Let a be x(29). Find f such that -2/11*f**a - 8/11 + 10/11*f = 0.
1, 4
Factor -1/3*d**3 + 4/3*d + d**2 + 0.
-d*(d - 4)*(d + 1)/3
Let 3/5*o**4 + 144/5*o**2 - 138/5*o + 9 - 54/5*o**3 = 0. Calculate o.
1, 15
Let f(a) be the second derivative of -a**8/11760 + a**7/5880 + a**6/1260 - 5*a**3/6 - 5*a. Let c(y) be the second derivative of f(y). Let c(j) = 0. What is j?
-1, 0, 2
Let a(f) be the third derivative of -3*f**7/35 + 7*f**6/40 + f**5/20 - f**4/4 + 5*f**2. Determine b, given that a(b) = 0.
-1/2, 0, 2/3, 1
Suppose -2*q + 0 + 4 = 0. Factor -a**3 - 6*a**2 - q*a**3 + 15*a**2.
-3*a**2*(a - 3)
Let g(u) = -u**2 - 1. Let a(v) = 3*v**2 - 3*v + 6. Let f(s) = -a(s) - 6*g(s). Factor f(x).
3*x*(x + 1)
Let d(j) be the second derivative of j**5/70 - j**3/21 - 2*j. Find g such that d(g) = 0.
-1, 0, 1
Let t(v) = v**3 - 6*v**2 + v - 4. Let f be t(6). Let k = 8 - 6. Factor d**2 + k*d + f*d**2 - 5*d**2 + 0*d**2.
-2*d*(d - 1)
Let v(w) = w**2 + 7*w - 13. Let c(y) = 3*y**2 + 24*y - 45. Suppose g - 3*g + 2 = 2*b, 2*b - 14 = g. Let n(x) = b*c(x) - 18*v(x). What is k in n(k) = 0?
-3, 1
Let c(p) = -p**3 + 2*p**2 + 8*p - 15. Let i be c(3). Factor 0*u**4 - 1/2*u**5 + i*u**3 + 0*u**2 + 0*u + 0.
-u**5/2
Suppose -215 = -5*k + 2*q, q = 4*k + 3*q - 172. Suppose 8*w + 11 = k. Determine c, given that 1/4*c + 1/4*c**w + 0 - 1/4*c**2 - 1/4*c**3 = 0.
-1, 0, 1
Let t(l) = l**2 - 5. Let b(w) = w**2 - 4. Let a be 1 - -4 - 2/1. Let r(y) = a*t(y) - 4*b(y). Factor r(z).
-(z - 1)*(z + 1)
What is v in -v - 13*v**2 + 25*v**2 - v**3 - 10*v**2 = 0?
0, 1
Let i(q) be the third derivative of 0*q - 1/15*q**4 + 1/150*q**5 + 4/15*q**3 + 0 + q**2. Factor i(m).
2*(m - 2)**2/5
Suppose 51*x - 4*x**5 + 12*x**4 - 42*x**2 - 10 - 8 - 4*x**5 + 5*x**5 = 0. Calculate x.
-2, 1, 3
Let t be ((-8)/(-36))/(2/18). Let 2/3*u**3 + 0*u + 0 + 2/3*u**t = 0. What is u?
-1, 0
Let t(u) be the first derivative of u**6/1260 - u**5/420 - u**4/42 + 2*u**3/3 + 4. Let g(o) be the third derivative of t(o). Factor g(l).
2*(l - 2)*(l + 1)/7
Let y(m) be the third derivative of -3*m**7/490 + m**6/56 - m**5/70 - 6*m**2. Factor y(h).
-3*h**2*(h - 1)*(3*h - 2)/7
Factor -6*c**3 + 0*c**5 - 4*c**5 - 2*c**3 + 12*c**4.
-4*c**3*(c - 2)*(c - 1)
Find n such that 16/3 + 1/3*n**2 - 8/3*n = 0.
4
Let k = -8 + 10. Factor 2*b + b - 3 - 2 + 3*b**k - 1.
3*(b - 1)*(b + 2)
Let l(a) be the first derivative of -2*a**6/3 + 12*a**5/5 + 6*a**4 - 40*a**3/3 - 42*a**2 - 36*a - 62. Let l(f) = 0. What is f?
-1, 3
Let y = 185 - 369/2. Solve -1/2*j**2 + 1/2*j + y - 1/2*j**3 = 0.
-1, 1
Let c be 35/20 + (-30)/20. Factor -1/4*y**3 + 1/4*y**5 + 0 + c*y**4 + 0*y - 1/4*y**2.
y**2*(y - 1)*(y + 1)**2/4
Let y(j) be the first derivative of 2*j**5/5 + 5*j**4/8 - j**3 - 14. Determine r, given that y(r) = 0.
-2, 0, 3/4
Let w(i) be the first derivative of i**3/7 - 3*i**2/14 - 40. Solve w(f) = 0.
0, 1
Let i(o) be the second derivative of o**6/660 + o**5/110 + o**4/44 + o**3/33 + o**2 + 3*o. Let k(x) be the first derivative of i(x). Solve k(f) = 0 for f.
-1
Solve -5*f**3 + 10*f**2 + 22*f**3 + 5*f - 7*f**3 - 5*f**3 = 0 for f.
-1, 0
Let w(m) be the third derivative of -m**7/210 + m**6/30 + m**5/20 - 5*m**4/12 - 4*m**3/3 - 11*m**2. Factor w(k).
-(k - 4)*(k - 2)*(k + 1)**2
Let d be (5*4)/4*1. Suppose 3*r - 5*z = 2*r - 2, -5*r + 18 = 3*z. Factor d + 3*a**2 - 5*a**2 - r.
-2*(a - 1)*(a + 1)
Suppose -2*g + 6*g + a - 39 = 0, -5*g - 2*a = -45. Factor h - g*h**2 + 2 - h**3 + 4*h**2 + 5*h**2.
-(h - 1)*(h + 1)*(h + 2)
Let y(u) be the first derivative of 0*u + 4*u**2 - 4 + 4/3*u**3 - 4/5*u**5 - 2*u**4. Factor y(b).
-4*b*(b - 1)*(b + 1)*(b + 2)
Let m = 20 - 4. Let a be (m/28)/((-18)/(-21)). Find o such that 4/3*o**2 - a - 1/3*o + o**3 = 0.
-1, 2/3
Let y be -80 + 81 + ((-3)/(-4))/(-3). Factor 0 + y*a**3 - 1/2*a + 1/4*a**2.
a*(a + 1)*(3*a - 2)/4
Find n such that -2*n**4 - 4*n**4 - n**2 + 2*n**5 + 6*n**3 - n**2 = 0.
0, 1
Let r(c) be the second derivative of 0 + 1/10*c**5 - 1/15*c**6 + 1/6*c**4 + 8*c - 1/3*c**3 + 0*c**2. What is x in r(x) = 0?
-1, 0, 1
Suppose -4*a**2 + 68*a - 10 - 83*a - a**2 = 0. What is a?
-2, -1
Let s(d) be the first derivative of -1/28*d**4 - 5/21*d**3 - 4/7*d - 3 - 4/7*d**2. Let s(b) = 0. What is b?
-2, -1
Let 3/4*z**3 - 6*z + 3/4*z**2 - 9 = 0. Calculate z.
-2, 3
Let k(x) = -x + 1. Let q be k(-5). Determine i, given that 8*i**2 - q*i**4 + 2*i - 2*i**4 + 0*i + 0*i**4 - 2*i**3 = 0.
-1, -1/4, 0, 1
Let f be 5/(-15) - (-237)/630. Let r(z) be the second derivative of -2*z + 0 - 5/42*z**4 - 2/21*z**3 + 0*z**2 - f*z**5. Solve r(t) = 0.
-1, -2/3, 0
Let k(d) be the