5/3 + 80*m**4/9 - 256*m**2/3 - 261*m. Determine g so that x(g) = 0.
-4, 1
Factor 15/4*c**3 + 9/4*c**2 - 9/4 - 15/4*c.
3*(c - 1)*(c + 1)*(5*c + 3)/4
Let j(n) = -n**3 - 12*n**2 - 13*n - 17. Let y be j(-11). Factor 1/2 + y*h**3 + 7/4*h**2 - 11/4*h.
(h + 1)*(4*h - 1)*(5*h - 2)/4
Let k(z) be the first derivative of z**6/900 - z**5/150 + z**4/60 - 14*z**3/3 + 6. Let j(q) be the third derivative of k(q). Factor j(d).
2*(d - 1)**2/5
Let u = -92854/7 + 13266. Factor 2/7*f**4 - u - 2/7*f**3 - 22/7*f - 18/7*f**2.
2*(f - 4)*(f + 1)**3/7
Factor -3/2*a**3 + 0 + 18*a**2 - 81/2*a.
-3*a*(a - 9)*(a - 3)/2
Let h(f) = f**2 - 9*f - 3. Let n be h(12). Solve -9*r**3 + n*r - 9*r**2 + 0*r**3 - 35*r = 0 for r.
-2/3, -1/3, 0
Let s(t) be the second derivative of t**5/90 + t**4/54 - 4*t**3/27 - 4*t**2/9 + 167*t. Determine j so that s(j) = 0.
-2, -1, 2
Let d(r) be the third derivative of r**8/6720 - r**7/1440 + r**6/960 + 3*r**4/8 - 16*r**2. Let m(f) be the second derivative of d(f). Factor m(x).
x*(x - 1)*(4*x - 3)/4
Suppose j = 3*j + 4*a + 16, 4*j + 39 = -a. Let g be 3*(-5)/j - 0/3. Factor 0 - 3/2*z - g*z**3 - 3*z**2.
-3*z*(z + 1)**2/2
Let n = 842 + -839. Factor -4/5*c**5 + 8/5*c**n - 4/5*c + 0*c**2 + 0 + 0*c**4.
-4*c*(c - 1)**2*(c + 1)**2/5
Let y(u) = -u - 1. Let v be y(-1). Suppose 20 = 5*j, 10*f - 5*j = 11*f - 24. Factor 2/3*p**2 + v + 1/3*p**5 - 2/3*p**f + 0*p**3 - 1/3*p.
p*(p - 1)**3*(p + 1)/3
Let t(i) = -2*i**2 + 45*i - 133. Let x be t(19). Factor -7/4*b**5 + 0 + 0*b + 1/2*b**3 - 5/4*b**4 + x*b**2.
-b**3*(b + 1)*(7*b - 2)/4
Let i(q) = -40*q**3 - 5*q**2 + 629*q + 223. Let v(z) = 10*z**3 + z**2 - 157*z - 55. Let p(a) = -3*i(a) - 11*v(a). Factor p(n).
2*(n - 4)*(n + 4)*(5*n + 2)
Factor -3/7*d + 3/7*d**3 - 3/7*d**4 + 3/7*d**2 + 0.
-3*d*(d - 1)**2*(d + 1)/7
Let n(k) be the third derivative of -k**6/60 - k**5/15 + 7*k**4/12 - 4*k**3/3 + 15*k**2. Factor n(r).
-2*(r - 1)**2*(r + 4)
Let k(y) be the second derivative of -17*y**7/189 + 56*y**6/135 - 16*y**5/45 - 23*y**4/27 + 49*y**3/27 - 10*y**2/9 - 619*y. Determine g, given that k(g) = 0.
-1, 5/17, 1, 2
Let z(l) be the first derivative of -2*l**6/15 + l**4 - 4*l**3/3 + 5*l + 17. Let i(n) be the first derivative of z(n). Factor i(r).
-4*r*(r - 1)**2*(r + 2)
Let l(k) = -12*k**4 - 60*k**3 - 16*k**2 + 32*k - 9. Let r(x) = -11*x**4 - 59*x**3 - 15*x**2 + 31*x - 8. Let o(q) = 4*l(q) - 6*r(q). Find w such that o(w) = 0.
-6, -1, 1/3
Suppose p - d + 13 = -4*d, 0 = 2*p + 3*d + 8. Let w = -107 - -337/3. Factor 0 + 2/3*h**2 + 0*h - 11/3*h**3 + w*h**4 - 7/3*h**p.
-h**2*(h - 1)**2*(7*h - 2)/3
Suppose -3*b = -3*h - 10 + 79, -4*b - 117 = -5*h. Suppose 28 = a + 5*o, 0*o - 5*o = -h. Factor 9*v**2 + 3*v**4 - 2*v**a + 11*v**3 + 3*v**3.
3*v**2*(v + 1)*(v + 3)
Let w be (35/14 - -3)*(1 - -1). Determine v so that 1134*v**2 + 2*v - 17*v**3 - w*v**3 + 15*v**4 - 1123*v**2 = 0.
-2/15, 0, 1
Factor -66*a**4 - 17*a**2 + 4*a + 65*a**4 + 3*a + 9*a**3 + 2*a**2.
-a*(a - 7)*(a - 1)**2
Let l(a) be the first derivative of a**3/21 + 146*a**2/7 + 21316*a/7 + 307. Factor l(d).
(d + 146)**2/7
Factor 23/5*c + 11/5 + 1/5*c**3 + 13/5*c**2.
(c + 1)**2*(c + 11)/5
Solve 8/13*x**2 + 646/13*x - 162/13 = 0.
-81, 1/4
Let x(g) = 0 - 4 - 2 + 5. Let b(z) = 2*z**2 + 6*z + 7. Let o(w) = -2*b(w) - 6*x(w). Suppose o(n) = 0. Calculate n.
-2, -1
Factor 100/3 + 20*c + 3*c**2.
(3*c + 10)**2/3
Let o(h) be the first derivative of 3*h**4/8 + 12*h**3 - 39*h**2 - 273. Factor o(d).
3*d*(d - 2)*(d + 26)/2
Let y(o) = 30*o**4 + 120*o**3 - 80*o**2 - 35*o + 35. Let g(z) = 5*z**4 + 20*z**3 - 13*z**2 - 6*z + 6. Let q(a) = 35*g(a) - 6*y(a). Let q(c) = 0. Calculate c.
-5, 0, 1
Let u be 1 + ((-836)/210 - -3). Let z(d) be the second derivative of 0*d**5 - u*d**6 - 3*d + 1/147*d**7 + 1/21*d**4 + 0*d**2 - 1/21*d**3 + 0. Factor z(x).
2*x*(x - 1)**3*(x + 1)/7
Let o be (-10805)/(-3600) - 3 - 0. Let s(n) be the third derivative of 1/180*n**5 + 0*n + 0 + 0*n**3 + 4*n**2 + o*n**6 + 1/144*n**4. Solve s(g) = 0.
-1, 0
Let n(v) be the first derivative of v**5/10 + 5*v**4/8 + 3*v**3/4 + 21*v - 6. Let i(r) be the first derivative of n(r). Factor i(s).
s*(s + 3)*(4*s + 3)/2
Suppose 3 = -2*o - 5*g - 4, 3*o - 3*g = 0. Let u(n) = -n**2. Let y(b) = 10*b**2 - 5*b - 10. Let p(f) = o*y(f) - 5*u(f). Factor p(r).
-5*(r - 2)*(r + 1)
Let b(y) = -5*y + 80*y**2 + 1 - 81*y**2 - 1. Let z be b(0). Factor -3/2*v**3 + 3/2*v + 0*v**2 + z.
-3*v*(v - 1)*(v + 1)/2
Let z be 7 + (3/(-45))/(2/206). Let r(j) be the second derivative of -9*j + 1/30*j**4 + 0*j**2 + z*j**3 + 0. Factor r(i).
2*i*(i + 2)/5
Let b(c) = -c**4 + c**3 + c**2 - 2*c - 1. Let r(z) = 4*z**4 + 244*z**3 + 500*z**2 + 266*z + 6. Let q(k) = -6*b(k) - r(k). Factor q(x).
2*x*(x - 127)*(x + 1)**2
Let d be 4 - ((-3)/2)/((-12)/16). Let t(z) be the third derivative of 1/210*z**7 - 4/3*z**3 + 1/10*z**5 + 0*z - 1/6*z**4 + 2*z**d + 1/24*z**6 + 0. Factor t(l).
(l - 1)*(l + 2)**3
Let k be 4 + -1 + (0 - 1). Suppose -6*g + 14 = -16. Suppose 6 + 2*n + 4*n**3 - 4*n - 3*n**g + n**5 - 12*n**k + 6*n**4 = 0. Calculate n.
-1, 1, 3
What is i in 10 - 12*i - 335*i**2 - 3*i + 340*i**2 = 0?
1, 2
Let x(b) be the first derivative of b**6/2160 - b**5/120 + 5*b**4/144 + 32*b**3/3 + 10. Let n(l) be the third derivative of x(l). Factor n(c).
(c - 5)*(c - 1)/6
Let l(q) be the second derivative of q**4/3 - 4*q**3/3 + 2*q**2 - 38*q - 2. Factor l(d).
4*(d - 1)**2
Factor 43*b**4 + 6*b**2 - 33*b**3 - 18*b**4 + 6*b**3 + 5*b**4.
3*b**2*(2*b - 1)*(5*b - 2)
Find x such that -8*x + 0*x**3 + 4 - x**5 + 7*x**3 - 2*x**3 + 33*x**2 - x**4 - 32*x**2 = 0.
-2, 1
Let d(c) be the second derivative of 7*c**6/6 - 23*c**5/4 - 95*c**4/4 - 85*c**3/6 + 25*c**2 + 6*c + 3. Factor d(t).
5*(t - 5)*(t + 1)**2*(7*t - 2)
Determine m, given that -1/2*m**4 - 6960*m + 58*m**3 - 7200 - 1562*m**2 = 0.
-2, 60
Let m(o) be the second derivative of -o**4/3 - 30*o**3 - 88*o**2 + 6*o + 3. Let m(j) = 0. Calculate j.
-44, -1
Let g(v) = v**2 - 21*v + 20. Let h be g(21). Suppose -60 = -0*c - h*c. Find y, given that 4*y + 3*y**c - 6*y**2 + 0 - 1/2*y**4 = 0.
0, 2
Suppose 114*q - 37*q = 1232. Factor q*t - 6*t**2 - 32/3 + 2/3*t**3.
2*(t - 4)**2*(t - 1)/3
Let b = -829/22 + 420/11. Factor 3/8*j**2 + 1/8 + b*j.
(j + 1)*(3*j + 1)/8
Let n = 31/126 - -1/252. Let q(l) be the first derivative of -1/6*l**3 - n*l**2 + 7 + 0*l. Let q(p) = 0. What is p?
-1, 0
Let u = 74 + -70. Factor -8*l**5 + 8*l**2 - 3*l**5 - 8*l**4 - u*l**3 + 16*l**5 - l**5.
4*l**2*(l - 2)*(l - 1)*(l + 1)
Suppose 5*g - 10 = -3*l + 14, 4*g = -4*l + 24. Let z(y) be the third derivative of 0 + 0*y**l + 0*y - 1/4*y**4 + 1/20*y**5 - 2*y**2. Factor z(h).
3*h*(h - 2)
Let d(p) be the first derivative of -24 + 0*p + 1/4*p**4 - 1/5*p**5 + 0*p**3 + 0*p**2. Find j, given that d(j) = 0.
0, 1
Let 4/9 + 2/3*x**4 - 10/9*x**2 + 10/9*x**3 - 10/9*x = 0. What is x?
-2, -1, 1/3, 1
Let b be (-18)/(-117) + (-48)/(-26). Factor -2 - 4*d + 3*d - b*d**2 + 0*d**2 + d**3 + 4.
(d - 2)*(d - 1)*(d + 1)
What is f in 1/8*f**5 + 0 + 0*f + 0*f**2 + 3/8*f**3 + 1/2*f**4 = 0?
-3, -1, 0
Factor -25*j**5 + 2*j**4 - 21*j**5 + j**3 + 45*j**5 + 3*j**4 - 3*j**2 - 2*j**4.
-j**2*(j - 3)*(j - 1)*(j + 1)
Let m be (1/2)/((-9)/270). Let u = m - -17. Factor -u*r**2 + r + 2*r - r.
-2*r*(r - 1)
Let n(o) be the second derivative of o**6/150 + 3*o**5/100 - 4*o**4/15 + 2*o**3/5 - 56*o. Factor n(i).
i*(i - 2)*(i - 1)*(i + 6)/5
Let n = 87 + -87. Let r(s) be the third derivative of 0*s - 1/112*s**8 + n*s**5 - 1/40*s**6 + 0*s**3 + 1/35*s**7 + 7*s**2 + 0*s**4 + 0. Solve r(m) = 0.
0, 1
Let k = -36403 - -36405. Determine w so that -1/3*w**4 + 0 + w**k + 0*w**3 + 2/3*w = 0.
-1, 0, 2
Let g(a) = 3*a**4 - 18*a**3 + 5*a**2 + 96*a. Let k(z) = z**2. Let b(s) = g(s) - 5*k(s). Factor b(n).
3*n*(n - 4)**2*(n + 2)
Suppose -2*k - 22 = -3*t, 0 = -4*t - 3*k + 2*k + 22. Let l(r) = r**3 - 7*r**2 + 8*r - 12. Let j be l(t). Factor j - 21/2*p**3 - 9/2*p**2 + 0*p - 6*p**4.
-3*p**2*(p + 1)*(4*p + 3)/2
Let w(r) be the third derivative of 2*r**7/315 + 3*r**6/5 + 673*r**5/45 - 84*r**4 + 1568*r**3/9 + 26*r**2. Factor w(f).
4*(f - 1)**2*(f + 28)**2/3
Let w(h) be the second derivative of h**5/20 + 3*h**4/8 - 2*h**3 - 3*h**2 + h. Let i(a) be the first derivative of w(a). Find r such that i(r) = 0.
-4, 1
Let p(m) be the third derivative of -m**6/30 - 2*m**5/15 + m**2 - 16. Factor p(d).
-4*d*