f**4 + 30/7*f**2 = 0.
-1, -1/4, 2/7, 1
Let v(f) be the first derivative of -f**4/24 + f**3/12 + 18*f - 10. Let j(b) be the first derivative of v(b). Factor j(q).
-q*(q - 1)/2
Let a be (-8)/20*(0 - -35). Let x be a/(-49) + (-2)/7. Determine j, given that 4/3 + x*j - j**2 - 1/3*j**3 = 0.
-2, 1
Suppose 3*h + 0*n - n - 13 = 0, -5*h - 2*n = -7. Suppose h*j = 7 + 17. Determine o so that -2*o**3 - j*o**2 + 4*o + 12*o**2 - 2*o**2 = 0.
-1, 0, 2
Let k = 29 - 26. Determine z so that -5*z**4 - 4*z**k + 9*z**3 + 100*z**2 - 95*z**2 - 5*z = 0.
-1, 0, 1
Let o(i) be the third derivative of i**7/1960 - i**6/210 + i**5/56 - i**4/28 - 7*i**3/6 - 4*i**2. Let n(x) be the first derivative of o(x). Factor n(b).
3*(b - 2)*(b - 1)**2/7
Let w = -1/581 - -2953/27888. Let t(r) be the second derivative of -5/16*r**5 + w*r**4 + 2/3*r**3 + 1/2*r**2 + 12*r + 0. Find u such that t(u) = 0.
-2/5, 1
Let b = -6100 + 30508/5. Factor -2/5*p**3 + b*p - 12/5*p**2 + 16/5 + 2/5*p**4.
2*(p - 2)**2*(p + 1)*(p + 2)/5
Suppose 7*g - 1728 = -9*g. Let i be 2/(-13) + (g/78)/3. Factor i + 2/13*m**2 - 6/13*m.
2*(m - 2)*(m - 1)/13
Let c(y) be the first derivative of 0*y + y**4 - 1/8*y**2 + 1/12*y**3 - 4/5*y**5 + 10. Let c(z) = 0. What is z?
-1/4, 0, 1/4, 1
Let u(j) = -j**3 + j**2 - 4*j + 4. Let f(v) = -3*v + 2*v + 9 - 8. Let g(z) = 15*f(z) - 3*u(z). Factor g(l).
3*(l - 1)**2*(l + 1)
Let a(d) be the second derivative of 1/72*d**4 + 1/270*d**6 + 1/72*d**5 + 4*d + 0*d**2 - 2/3*d**3 + 0. Let i(n) be the second derivative of a(n). Factor i(c).
(c + 1)*(4*c + 1)/3
Let k(d) be the first derivative of 40/9*d**2 + 32/9*d + 22/9*d**3 + 2/45*d**5 + 5/9*d**4 - 9. Let k(m) = 0. What is m?
-4, -1
Let b = -255 - -27. Let s = b + 230. Solve 0*t + 14/11*t**4 + 0 + 4/11*t**s + 18/11*t**3 = 0.
-1, -2/7, 0
Suppose 5*l - 23 = -z, 4*z + 8 = 5*l - 0*l. Let m be -1 + z/(-2)*-2. Factor 9 - 15*u + 4*u**2 + 3*u**3 - 4*u**2 + 6*u**2 - 3*u**m.
3*(u - 1)**2*(u + 3)
Let s(p) be the first derivative of 1/26*p**4 + 0*p + 27 - 1/13*p**2 + 0*p**3. Factor s(z).
2*z*(z - 1)*(z + 1)/13
Let w = -7 + 11. Let c = -20 - -32. Suppose -o**2 - 8*o - w - 7*o**4 + 13*o**3 + 0*o**5 + c*o**2 - 5*o**5 = 0. What is o?
-2, -1, -2/5, 1
Let a(z) be the second derivative of z**5/30 - z**4/9 + z**3/9 + 27*z + 1. Solve a(x) = 0 for x.
0, 1
Factor 1/7*f**3 - 4/7*f**2 - 1/7*f + 4/7*f**4 + 0.
f*(f - 1)*(f + 1)*(4*f + 1)/7
Suppose -11*v + 7*v + 21*v = 3689. Suppose v*r**2 - 50*r + 4 + 405/2*r**4 - 747/2*r**3 = 0. What is r?
2/9, 2/5, 1
Let u(m) be the third derivative of -m**7/210 + m**6/24 - 3*m**5/20 + 7*m**4/24 - m**3/3 - 7*m**2 - 4*m. Solve u(v) = 0.
1, 2
Let g(d) be the first derivative of 3*d**3 + 3*d**2 + 3/4*d**4 - 17 + 0*d. Determine s so that g(s) = 0.
-2, -1, 0
Find k, given that -12/19*k**2 - 8/19 - 2/19*k**3 - 18/19*k = 0.
-4, -1
Let v(m) be the second derivative of -m**8/192 - 5*m**7/504 + m**6/9 - m**5/6 - 5*m**4/6 + 10*m. Let d(u) be the third derivative of v(u). Factor d(o).
-5*(o - 1)*(o + 2)*(7*o - 2)
Let n = 2543 + -2541. Let 3/5*z**n + 0 + 1/5*z = 0. Calculate z.
-1/3, 0
Let u(a) = -155*a - 3*a**2 - 800 - 8*a**2 - 2*a**2. Let g(j) = 84*j**2 + 1008*j + 5200. Let s(p) = -5*g(p) - 32*u(p). Determine m, given that s(m) = 0.
-10
Let q be (70/6)/(2/6). Suppose 3*o + 26 = q. Factor 6*t**2 - 2*t**3 + 2*t**o + 2*t**3 - 60*t + 64*t.
2*t*(t + 1)*(t + 2)
Solve -4/3*r + 0 + 1/3*r**5 + 4/3*r**2 - 4/3*r**4 + r**3 = 0.
-1, 0, 1, 2
Suppose g - 10 + 3 = 0. Solve g*h - 3 - 1 - 12*h - 2*h**2 + h**2 = 0 for h.
-4, -1
Let s(q) be the second derivative of q**4/12 - q**3/2 + 75*q**2 + 11*q. Let t be s(0). Suppose t*p - 5*p**2 - 141*p + 2*p**2 = 0. Calculate p.
0, 3
Let u(z) be the second derivative of 0*z**2 - 1/9*z**3 + 1/45*z**6 - 14*z + 1/30*z**5 + 0 - 1/18*z**4. Suppose u(l) = 0. What is l?
-1, 0, 1
Let x be (-207)/270 + 10/12. Let u(c) be the second derivative of -x*c**5 - 12*c + 2/9*c**4 + 0 - 2/45*c**6 + 0*c**2 + 0*c**3. Factor u(h).
-4*h**2*(h - 1)*(h + 2)/3
What is b in 123 - 208*b + 64*b**2 - 13 + 59 = 0?
13/8
Let b(y) be the third derivative of -y**7/210 + 13*y**6/60 - 11*y**5/5 + 31*y**4/3 - 80*y**3/3 - 92*y**2 - 2. What is s in b(s) = 0?
2, 20
Factor 11/5*n**2 - 7*n - 1/5*n**3 + 5.
-(n - 5)**2*(n - 1)/5
Let w(i) be the third derivative of i**9/141120 - i**8/15680 - 7*i**5/12 - 21*i**2. Let k(y) be the third derivative of w(y). Let k(h) = 0. What is h?
0, 3
Let z(k) = -k**2 + 45*k - 119*k + 35*k + 43 + 45*k. Let r be z(10). Suppose 0 + 10/13*i**2 - 6/13*i - 2/13*i**r - 2/13*i**4 = 0. Calculate i.
-3, 0, 1
Let u = 32 + -30. Factor -4 - h**u + 0 + 2 - 3*h + 0.
-(h + 1)*(h + 2)
Suppose -5*u + 12 = -3. Suppose -14 = 4*z - u*z + 4*m, 5*m + 26 = 3*z. Factor 4/7 + 1/7*x**4 + 13/7*x**z - 6/7*x**3 - 12/7*x.
(x - 2)**2*(x - 1)**2/7
Determine x, given that 4/3*x**5 + 0*x + 0 - 10/3*x**4 + 8/3*x**3 - 2/3*x**2 = 0.
0, 1/2, 1
Let g(p) be the first derivative of 2*p**5/3 - 2*p**4 - 2*p**3/9 + 4*p**2 - 8*p/3 + 106. Find a, given that g(a) = 0.
-1, 2/5, 1, 2
Suppose 0 = -3*l + 27 - 9. Factor l*b**4 + 5*b**4 - 6*b**2 + 9*b**3 - 14*b**4.
-3*b**2*(b - 2)*(b - 1)
Suppose 262 + 146 = 63*f + 73*f. Factor -2/5*z**f - 54/5 + 6/5*z**2 + 18/5*z.
-2*(z - 3)**2*(z + 3)/5
Factor 33*i**2 + 54 - 8*i**2 - 3*i**3 - i**2 - 63*i + 0*i**3.
-3*(i - 3)**2*(i - 2)
Let c(p) = p**4 + 21*p**3 - 9*p**2 + 11*p + 6. Let j(y) = -y**4 - 41*y**3 + 19*y**2 - 21*y - 11. Let d = -5 + 16. Let r(a) = d*c(a) + 6*j(a). Factor r(q).
5*q*(q - 1)**3
Let n(m) = 37*m + 1038. Let a be n(-28). Factor -1/6*y**a - 5/6 - y.
-(y + 1)*(y + 5)/6
Let g = -22 - -20. Let q be g/(-7) - 80/(-14). Solve q*m**3 - 5*m**2 + 4*m**2 + m**4 - 5*m**3 - m = 0 for m.
-1, 0, 1
Let y(k) be the third derivative of -k**5/120 + 5*k**4 - 1200*k**3 - 664*k**2. Factor y(s).
-(s - 120)**2/2
Let d(l) be the second derivative of l**9/1680 - l**8/560 + l**7/840 + 3*l**4/4 + 27*l. Let r(w) be the third derivative of d(w). Solve r(v) = 0 for v.
0, 1/3, 1
Let c(m) = -26*m**3 + 55*m**2 + 84*m - 134. Let n(i) = -8*i**3 + 18*i**2 + 28*i - 44. Let t(s) = 2*c(s) - 7*n(s). Solve t(j) = 0 for j.
-2, 1, 5
Suppose -2*g + 24 = 7*o - 3*o, 0 = -5*o - 5*g + 30. Factor o*l**4 + l**3 + 9*l**3 + 2*l**5 - l**4 - 7*l**5.
-5*l**3*(l - 2)*(l + 1)
Let g be 102/63 - (-30)/(-105)*(-1 + 2). Solve -4/3 - g*b + 4/3*b**2 + 4/3*b**3 = 0 for b.
-1, 1
Determine r so that 378359*r**2 + 107*r + 143*r + 5*r**3 - 160 - 378454*r**2 = 0.
1, 2, 16
Let j(z) = -45*z**2 + 465*z - 1430. Let g(u) = -5*u**2 + 52*u - 159. Let b(t) = 55*g(t) - 6*j(t). Factor b(d).
-5*(d - 11)*(d - 3)
Let i(t) be the first derivative of t**4/4 + 8*t**3/3 - 157. Factor i(z).
z**2*(z + 8)
Let n(q) = 35*q**2 - 108*q + 11. Let g be n(3). Factor 0 + 0*v + 1/2*v**g + 0*v**3 - 1/2*v**4.
-v**2*(v - 1)*(v + 1)/2
Let o be 3/6*-8 - (2 - 5). Let u be (o/2*(-48)/(-6))/(-2). Determine x, given that 0 - 3*x**u - 12/5*x**3 - 3/5*x = 0.
-1, -1/4, 0
Let f(b) be the first derivative of 5*b**3/3 - 5*b**2 - 15*b + 278. Factor f(x).
5*(x - 3)*(x + 1)
Suppose -3*c = -13 + 1. Suppose c*k = 5*k - 2. What is a in 2/3 - 4/3*a + 2/3*a**k = 0?
1
Let o be (-7)/(-4) + -1 + 54/24. Determine g, given that -3*g**3 + 6*g - 3*g**2 - 3*g**2 + 9*g**2 + 0*g**o = 0.
-1, 0, 2
Let d = -21190 + 21192. Factor 4*i - 2*i**d + 4 - 4*i**3 - 7/4*i**4 - 1/4*i**5.
-(i - 1)*(i + 2)**4/4
Let c(q) be the third derivative of q**6/24 + 13*q**5/12 + 115*q**4/24 + 55*q**3/6 + 15*q**2 - 2*q. Factor c(s).
5*(s + 1)**2*(s + 11)
Determine f so that -312*f**3 + 58*f**4 - 10*f**4 + 27*f**4 + 48*f - 312*f**2 + 48 + 75*f**5 = 0.
-2, -1, -2/5, 2/5, 2
Factor 2/3*l**3 + 1/3 - 1/3*l**4 - 2/3*l + 0*l**2.
-(l - 1)**3*(l + 1)/3
Let m(s) be the second derivative of 1/6*s**6 - 5/6*s**4 + 0*s**3 + 5/2*s**2 - 22*s + 0 + 0*s**5. Factor m(b).
5*(b - 1)**2*(b + 1)**2
Let d(y) = -5*y - 14. Let r be d(-4). Suppose -k = -3*x - 15, 2*x + r = 5*k - 17. Find c, given that 6*c**2 + c**3 + c**3 - 4*c**k = 0.
0, 3
Let o(u) be the first derivative of -u**6/2 - 57*u**5/5 - 297*u**4/4 - 81*u**3 + 114. Factor o(n).
-3*n**2*(n + 1)*(n + 9)**2
Let d = -15 - -20. Factor 13*l**d - 10*l**4 - 15*l**5 + 7*l**5 + 5*l**3.
5*l**3*(l - 1)**2
Let r = 5 + -3. Let n be (155 + -157)/((-14)/4). Find a, given that -n*a - 2/7*a**r + 0 + 2/7*a**3 = 0.
-1, 0, 2
Let z(p) be the third derivative of p**8/112 - 13*p*