*2 - z - 2*z**2 - 5*z**2 + 9*z**3 - 6. Let r(k) = 4*m(k) - 5*u(k). Factor r(f).
-5*(f - 1)*(f + 1)*(f + 2)
Let z(g) be the second derivative of 1369*g**5/4 + 370*g**4/3 + 40*g**3/3 + 10*g + 3. Find k, given that z(k) = 0.
-4/37, 0
Solve 10*z**4 - 20*z**4 - 4*z + 8*z**2 - 4 + 8*z**3 + 6*z**4 - 4*z**5 = 0 for z.
-1, 1
Suppose -7 - 28 = -5*h. Factor -h + 7 + n**3 - 4*n**3.
-3*n**3
Determine z, given that -6728/3 - 2/3*z**4 + 7192/3*z - 718*z**2 + 124/3*z**3 = 0.
2, 29
Determine c so that -2/15*c**2 + 14/15*c - 4/5 = 0.
1, 6
Suppose 3*l - 2*l = 2*s + 5, 4*l = 5*s + 8. Let q be (-5*(l - 169/(-55)))/(-2). Let -q*u + 4/11 - 2/11*u**2 = 0. Calculate u.
-2, 1
Let w(b) be the second derivative of b**5/8 - b**4/20 - 4*b + 12. Factor w(g).
g**2*(25*g - 6)/10
Suppose -6 = 5*g - 2*a + 4, 0 = g - a + 2. Let w be (g - 1 - -14) + -2. Factor 6 - 2*h**4 - 7*h - w*h**3 - h**4 - 3*h**2 + 16*h.
-3*(h - 1)*(h + 1)**2*(h + 2)
Let w(d) be the second derivative of -d**7/560 + d**6/160 - d**5/160 - 15*d**2 + 33*d. Let i(l) be the first derivative of w(l). Suppose i(m) = 0. Calculate m.
0, 1
Let j = 18 - 22. Let w be 6/j*(-7)/((-21)/(-6)). Suppose 0*a**2 - 24/5*a**5 + 0 + 0*a + 2*a**4 + 4/5*a**w = 0. What is a?
-1/4, 0, 2/3
Let y(a) be the first derivative of -2*a**3/69 - 62*a**2/23 - 1922*a/23 - 159. Let y(q) = 0. What is q?
-31
Factor 1/4*h**2 + 15/4*h + 0.
h*(h + 15)/4
Factor 16*b - 14 + 21719*b**2 + 2*b**4 + 0*b**4 - 16*b**3 - 21707*b**2.
2*(b - 7)*(b - 1)**2*(b + 1)
Determine y so that -9/2 + 5*y - 1/2*y**2 = 0.
1, 9
Let q(w) be the second derivative of -w**5/140 - w**4/14 + 19*w**2/2 - 23*w. Let k(d) be the first derivative of q(d). Factor k(x).
-3*x*(x + 4)/7
Determine d so that 19*d**2 + 0 - 1/2*d**3 - 361/2*d = 0.
0, 19
Find o such that 2*o**2 + 5*o + 6*o**4 + 11 - 109*o - 4*o**2 + 41*o**3 + 3*o**3 + 45 = 0.
-7, -2, 2/3, 1
Factor 0*r + 0 + 36*r**2 + 4/7*r**3.
4*r**2*(r + 63)/7
Let k(c) = -c**2 + 10*c - 24. Let a be k(3). Let x be 6*(a - (-320)/108)*-1. Suppose -2/9*n**4 + x + 4/9*n**3 + 0*n**2 - 4/9*n = 0. Calculate n.
-1, 1
Let p be (-8)/(-40) - (-6 + (-616)/(-105)). Solve -4/3 + 1/6*t**2 - p*t = 0 for t.
-2, 4
Let c be (-2)/(-40) - 3136/(-1280). Let z(p) be the first derivative of -c*p**2 + 5/4*p**4 + 5*p + 8 - 5/3*p**3. Determine i, given that z(i) = 0.
-1, 1
Let b(k) = -k**2. Let d(m) = 7*m**2 + 12*m + 9. Let w(o) = -4*b(o) - d(o). Find x such that w(x) = 0.
-3, -1
Let p be (15/6 - 1)*2. Let 4*y**2 - 6*y**p + 2*y - y + 2*y - 3*y**4 + 2*y**2 - 3 + 3*y**5 = 0. Calculate y.
-1, 1
Suppose -10 = -d + 2*a, 4 + 14 = -d - 5*a. Factor 2/5*i + 0 + 3/5*i**d + 1/5*i**3.
i*(i + 1)*(i + 2)/5
Suppose 3*k = n - 19, 4*n - k = n + 17. Suppose z**n - 2*z**4 - 10*z**2 + 19*z**2 - 8*z**2 = 0. Calculate z.
-1, 0, 1
Let n = -599 - -1203/2. Factor -n + 5/2*m**2 - 1/2*m**3 + 1/2*m.
-(m - 5)*(m - 1)*(m + 1)/2
Let i = -111 + 110. Let a be (2 + i/(6/9))/1. Factor -a*r**4 - 3/2*r**3 - 1/2*r + 0 - 3/2*r**2.
-r*(r + 1)**3/2
Let g(o) = -153*o**3 + 126*o**2 - 21*o - 6. Let l be (-1)/3 - (-4)/(-6). Let a(y) = -2 + 0 + 3 - y + y**3. Let x(b) = l*g(b) - 6*a(b). Factor x(j).
3*j*(7*j - 3)**2
Suppose 3*g = a + 11, 10 + 10 = 5*g - 2*a. Suppose -w = 4*b - 22, 4*b = 2*b + 10. Factor g*q**w + 3*q + 4 + q - 2.
2*(q + 1)**2
Let y(m) be the second derivative of -5/12*m**4 + 10/3*m**3 + 0 - 10*m**2 + 2*m. What is f in y(f) = 0?
2
Let t(m) be the third derivative of -m**7/210 - m**6/15 + 3*m**5/20 + m**2 + 42*m. Factor t(p).
-p**2*(p - 1)*(p + 9)
Let z be 5 - (-10 + 15)*1. What is j in z*j + 0*j**3 - 3/7*j**2 + 3/7*j**4 + 0 = 0?
-1, 0, 1
Let o be (-158)/553 + (-5)/(-14). Let y(f) be the first derivative of o*f**4 - 2/35*f**5 + 0*f**2 + 2/21*f**3 - 1/21*f**6 + 0*f + 6. Let y(c) = 0. What is c?
-1, 0, 1
Let a(h) be the first derivative of h**4/16 + 5*h**3/12 + h**2/2 - 170. Factor a(c).
c*(c + 1)*(c + 4)/4
Let r(a) = -30*a**5 + 50*a**4 - 18*a**3 - 2*a. Let m(v) = 29*v**5 - 51*v**4 + 18*v**3 + v**2 + 3*v. Let n(z) = 2*m(z) + 3*r(z). Factor n(h).
-2*h**2*(h - 1)*(4*h - 1)**2
Let g = 289 - 289. Let l(f) be the second derivative of 1/90*f**6 - 2*f + 0*f**5 + 0*f**3 + 1/6*f**2 + g - 1/18*f**4. Solve l(p) = 0 for p.
-1, 1
Let k(x) be the first derivative of -x**6/8 - 3*x**5/10 + 9*x**4/16 + x**3 - 3*x**2/2 - 39. Solve k(j) = 0.
-2, 0, 1
Suppose -230 - 95/2*x + 5/2*x**2 = 0. Calculate x.
-4, 23
Let u be (-4)/(-14) + (-741)/(-273). Let n(p) be the first derivative of 2/3*p + 5/18*p**u - 2/3*p**2 + 4 - 1/24*p**4. Determine f so that n(f) = 0.
1, 2
Suppose -m = -b + 6 + 17, -5*m - 105 = -3*b. Let v be -1*4 + (-84)/m. What is n in 0 - v*n - 2/3*n**2 = 0?
-1, 0
Let k be (-15865)/(-6680) - (-1*2)/(-1). Factor 27/8*n**2 - 9*n**3 - k*n + 6*n**4 + 0.
3*n*(n - 1)*(4*n - 1)**2/8
Let g(t) be the third derivative of -t**5/360 - 65*t**4/36 - 4225*t**3/9 - 135*t**2 - 1. Find x such that g(x) = 0.
-130
Determine u, given that 2/7*u**2 + 78/7 - 32/7*u = 0.
3, 13
Let h(g) = 70*g**3 + 155*g**2 - 225*g. Let q(x) = 5*x**3 + 11*x**2 - 16*x. Let l(r) = 6*h(r) - 85*q(r). Solve l(s) = 0.
-2, 0, 1
Find q such that 2/13*q**2 - 150/13*q + 148/13 = 0.
1, 74
Let v(b) be the second derivative of -b**5/20 + 47*b**4/4 - 2209*b**3/2 + 103823*b**2/2 + 2*b - 32. Factor v(i).
-(i - 47)**3
Let d(v) be the first derivative of v**6/72 - 11*v**5/240 - v**4/8 + v**3/3 + 10. Let r(l) be the third derivative of d(l). Solve r(s) = 0.
-2/5, 3/2
Let d(z) = z**3 + 25*z**2 + 24*z - 8. Let x(r) = 3*r**3 + 51*r**2 + 48*r - 18. Let u(p) = 9*d(p) - 4*x(p). Solve u(w) = 0.
-1, 0, 8
Solve 8424*g - 8424*g + 12*g**2 + 8*g**3 - 4*g**4 = 0.
-1, 0, 3
Solve -12/5*c**2 + 3/5*c + 0 + 18/5*c**3 - 12/5*c**4 + 3/5*c**5 = 0.
0, 1
Let m(o) be the second derivative of 110*o**7/63 + 328*o**6/45 + 7*o**5 - 8*o**4/9 - 8*o**3/9 + 431*o. Solve m(c) = 0.
-2, -1, -2/11, 0, 1/5
Let o(c) be the second derivative of c**4/20 - 268*c**3/5 + 107736*c**2/5 - c - 23. Factor o(u).
3*(u - 268)**2/5
Let u(f) = -2*f. Let m(k) = 4*k**2 + 4*k - 48. Let d(o) = m(o) - 6*u(o). Determine j so that d(j) = 0.
-6, 2
Let g(m) = -5*m - 15. Let x be g(-4). Find k, given that 6*k**2 + k**2 - 6*k - x*k**2 = 0.
0, 3
Let w(f) be the first derivative of -f**4/2 + 56*f**3 + 85*f**2 + 205. Factor w(k).
-2*k*(k - 85)*(k + 1)
Factor -5808/5*s + 3/5*s**4 + 0 + 261/5*s**3 + 5544/5*s**2.
3*s*(s - 1)*(s + 44)**2/5
Let a be 0 - -7 - (-12 + 16). Factor 34 + 24*l + a*l**2 + 30 - 2 - 14.
3*(l + 4)**2
Let z(p) be the first derivative of -1/10*p**2 + 2/15*p**3 + 1/10*p**4 - 1/25*p**5 - 2 - 1/5*p - 1/30*p**6. Solve z(u) = 0 for u.
-1, 1
Let p(b) be the second derivative of -b**9/3024 + b**8/1120 - b**7/1680 - b**3/2 + 6*b. Let n(s) be the second derivative of p(s). Factor n(z).
-z**3*(z - 1)*(2*z - 1)/2
Suppose 5*n = 18 + 17. Let r = 9 - n. Find p, given that -1 - 7*p**2 + 0*p - p + 5*p**2 + 3*p**r + p**3 = 0.
-1, 1
Suppose 15*i - 5*q - 35 = 12*i, -5*i + 29 = -q. Let b(s) be the third derivative of 1/16*s**4 + 0*s - 1/240*s**6 + 0*s**i + 0 - 1/6*s**3 + 4*s**2. Factor b(z).
-(z - 1)**2*(z + 2)/2
Let a(f) be the third derivative of f**5/15 + f**4/24 + f**3/3 - 6*f**2. Let b(n) = 5*n**2 + n + 2. Let g(u) = -6*a(u) + 5*b(u). Factor g(i).
(i - 2)*(i + 1)
Suppose 0 = -58*h + 85*h - 81. Find j, given that -1/2*j**4 - 1/2*j**5 + 0*j**2 + j**h + 0 + 0*j = 0.
-2, 0, 1
Factor 89*d**2 + 163*d - 166*d - 161*d**2 - 432*d**3.
-3*d*(12*d + 1)**2
Let n be -1 + 6/10 - 748/(-170). Let t(l) be the first derivative of n + 16*l + 6*l**4 + 4/5*l**5 + 52/3*l**3 + 24*l**2. Factor t(v).
4*(v + 1)**2*(v + 2)**2
Find l, given that -2/5*l**3 - 1/5*l**2 + 0 - 1/5*l**4 + 0*l = 0.
-1, 0
Let v be (252/(-20) + 0)/(9/(-30)). Let a be 10/8*56/v. Let a*s**3 - 1/3*s**4 + s + 0 - 7/3*s**2 = 0. What is s?
0, 1, 3
Let a be -4 - (-3 - (4 - 3)). Suppose a = 5*b - 5 - 5, -h = -b. Let 10/3*p**2 - h*p - 4/3 = 0. Calculate p.
-2/5, 1
Factor -6*u**2 + 4*u - 4*u**3 + 6*u**4 + 37116 - 37116.
2*u*(u - 1)*(u + 1)*(3*u - 2)
Let u(c) be the second derivative of -c**7/8 + 89*c**6/40 - 297*c**5/40 + 19*c**4/4 + 5*c**3 + 2*c + 36. Find f, given that u(f) = 0.
-2/7, 0, 1, 2, 10
Find j such that 60/7*j + 4/7*j**2 - 1/7*j**3 - 288/7 = 0.
-8, 6
Let x = -872 + 879. Let a(g) be the third derivative of 0 + 0*g - 8/39*g**3 - 1/1365*g**x - 3/65*g**5 + 5/39*g**4 + 7/780*g**6 - 9*g**2. Factor