erivative of -u**7/945 - u**6/108 - u**5/45 - 210*u**2. Determine a so that c(a) = 0.
-3, -2, 0
Suppose -28 = -6*i - i. Let n be i - (2 + 6)/2. Factor -12/5*l**3 - 2/5*l**5 + 8/5*l**2 - 2/5*l + n + 8/5*l**4.
-2*l*(l - 1)**4/5
Let r(h) = 2*h**2 + 22*h + 56. Let u be r(-4). Let z(b) be the first derivative of 1/5*b**2 - 1/10*b**4 + 1 + u*b - 2/25*b**5 + 2/15*b**3. Factor z(g).
-2*g*(g - 1)*(g + 1)**2/5
Suppose -14*f + 5*f = 2*f. What is x in -3*x**2 + f*x + 3*x**3 - 3/4*x**4 + 0 = 0?
0, 2
Let o(l) = 26*l + 14. Let j be o(2). Let t = j - 329/5. Suppose 1/5*m**2 + 0*m + 2/5*m**3 + 0 + t*m**4 = 0. What is m?
-1, 0
Let m(n) = -n**2 + 12*n + 10. Let y be m(12). Factor 3*v**2 + v**2 - v**2 + y*v - 16*v.
3*v*(v - 2)
Let v(q) = 9*q**2 + 9*q - 3. Let y(r) = -4*r**2 - 4*r + 2. Let u(c) = -3*c**2 - 17*c. Let d be u(-7). Let a = d + 23. Let t(l) = a*y(l) - 2*v(l). Factor t(m).
2*(m - 1)*(m + 2)
Solve -1/3*o**2 - 35/3*o + 0 = 0.
-35, 0
Let u = -45 - -47. Suppose -4*x - 3*w = -u*w - 12, 2*x + 2*w = 12. Find g, given that -8/11*g**x - 2/11 + 10/11*g = 0.
1/4, 1
Let q = -34 + 53. Factor -2*m**3 + 32 + m - q*m**2 + 5*m**2 - 21*m + 4*m.
-2*(m - 1)*(m + 4)**2
Let n(f) = -6*f**2 + 48*f - 63. Let r(w) = -w**2 + w - 3. Let m(g) = -3*n(g) + 21*r(g). What is i in m(i) = 0?
-42, 1
Let m(b) = 22*b**2 + 144*b + 348. Let a(z) = -9*z**2 - 58*z - 139. Let i(f) = 12*a(f) + 5*m(f). Factor i(o).
2*(o + 6)**2
Suppose 0 = 4*f + 5*w - 11, -2*w + 7 = f - 5*w. Factor 1/4*k**2 + 0 - 1/4*k**f - 1/4*k**3 + 1/4*k.
-k*(k - 1)*(k + 1)**2/4
Let r(f) = f**5 + 2*f**4 + 2*f**3 - 2*f**2 + f. Let h(u) = -4*u**5 - 6*u**4 - 7*u**3 + 6*u**2 - 3*u. Let v(d) = 2*h(d) + 7*r(d). Solve v(n) = 0 for n.
-1, 0, 1
Let m = 33/89 - -15443/356. Let f = 44 - m. What is y in 5/4*y - f - y**2 = 0?
1/4, 1
Let g = -1328 - -11956/9. Determine l, given that 2/3 + g*l - 2/9*l**2 = 0.
-1, 3
Let d be (-860150)/(-25)*1/8. Let o = d + -4264. Factor -o*y**3 + 18*y - 3 - 63/4*y**2.
-3*(y + 1)*(7*y - 2)**2/4
Suppose -3*m - 4*o = -11 - 12, m + 3*o - 16 = 0. Let j(w) be the first derivative of 2/9*w**3 + 0*w**2 - 2/3*w + m. Factor j(z).
2*(z - 1)*(z + 1)/3
Suppose -2*i = -10 + 6. Solve -i - 2 + 4*h**2 + 4*h - 4*h**3 + 0*h**2 = 0.
-1, 1
Let j be -3 + ((-12)/4 - 1406/(-228)). Let a be ((-1)/2)/(-5 - -2). Factor 1/6 - 1/6*d**3 + a*d - j*d**2.
-(d - 1)*(d + 1)**2/6
Let k(j) be the first derivative of 0*j + 1/18*j**6 + 25/12*j**4 - 2/3*j**5 + 0*j**3 - 22 + 0*j**2. Find b such that k(b) = 0.
0, 5
Let l be 742 - (-2 - 1)/(-1). Let t = l + -6643/9. Factor -t*z**4 - 4/9*z**2 - 2*z**3 + 0 + 0*z.
-2*z**2*(z + 2)*(4*z + 1)/9
Let c(l) be the second derivative of -l**6/150 + 7*l**5/100 + l**4/20 - 19*l**3/30 - 7*l**2/5 - 243*l + 1. Find s such that c(s) = 0.
-1, 2, 7
Suppose -48*b + 38099 = 38003. Determine k, given that 147/2*k + 3/2*k**3 + 0 - 21*k**b = 0.
0, 7
Suppose 50*s + 40 - 70 = 70. Find q, given that 14/3 - 4/3*q**s + 26/3*q = 0.
-1/2, 7
Let z(q) be the second derivative of -3*q**5/100 + 13*q**4/20 - 24*q**3/5 + 54*q**2/5 + q + 79. Factor z(d).
-3*(d - 6)**2*(d - 1)/5
Suppose 0 + 36/7*c - 44/7*c**3 - 8/7*c**5 - 44/7*c**4 + 60/7*c**2 = 0. Calculate c.
-3, -1/2, 0, 1
Let l be (-259)/148*1780/(-14). Let g = l - 221. Factor 0 - 3/4*p + g*p**2 - 3/4*p**3.
-3*p*(p - 1)**2/4
Suppose 0 = -u - 2*b - 2*b - 9, 0 = 4*u + 3*b - 3. Let m be (-2 - (-9)/u)*9. Factor 5*h + 16*h**2 - h - m*h - 4*h**3 - 15*h + 8.
-4*(h - 2)*(h - 1)**2
Let j(w) be the second derivative of w**5/4 - 115*w**4/2 + 455*w**3/2 - 340*w**2 + w + 17. Determine g, given that j(g) = 0.
1, 136
Let w(m) = 2*m**3 - 15*m**2 - 5*m + 21. Let f(v) = -4*v**3 + 29*v**2 + 11*v - 43. Let d(h) = -3*f(h) - 7*w(h). Factor d(o).
-2*(o - 9)*(o - 1)*(o + 1)
Let k be 58/(-4) - (-2 + 5) - -3. Let t = k - -91/6. Solve 7/3*o**2 + t + 3*o = 0 for o.
-1, -2/7
Let a(l) be the second derivative of 11*l + 0 + 0*l**2 + 25/33*l**3 + 1/110*l**5 - 5/33*l**4. Factor a(m).
2*m*(m - 5)**2/11
Factor -2/3*i**3 + 2/15*i**2 + 0*i + 0.
-2*i**2*(5*i - 1)/15
Let x(t) be the first derivative of -25 - 75/4*t**4 + 85/3*t**3 + 20*t + 60*t**2. Factor x(u).
-5*(u - 2)*(3*u + 2)*(5*u + 1)
Let t(v) = 3*v. Let i be t(-3). Let g = i + 11. Factor a**g - 3 - 4*a**2 - 6*a + 0.
-3*(a + 1)**2
Suppose -3 = u + 2, 4*f + 5*u - 3 = 0. Let q(o) be the first derivative of 2/5*o**5 - o**2 - 2/3*o**3 + 0*o + 1/2*o**4 + f. Factor q(h).
2*h*(h - 1)*(h + 1)**2
Let z be (-1 - 3) + (3616/318 - 6). Let h = z + -2/53. Find w, given that -2/3*w - h + 2/3*w**2 = 0.
-1, 2
Let w(m) be the third derivative of -m**6/30 - 2*m**5/5 + 7*m**4/6 + 98*m**2. Factor w(i).
-4*i*(i - 1)*(i + 7)
Let f = -13 + 60. Factor -6 - f*g**2 - 17*g**4 + 2*g**4 + 33*g - 16*g**2 - 177*g**3 + 228*g**3.
-3*(g - 1)**3*(5*g - 2)
Let g(d) be the third derivative of 25*d**2 + 0*d**4 + 0*d**3 + 1/504*d**8 + 0*d + 0 + 0*d**5 + 1/90*d**6 + 1/105*d**7. Factor g(v).
2*v**3*(v + 1)*(v + 2)/3
Let l(w) be the second derivative of -5/12*w**4 + 10/3*w**3 + 0 + 22*w + 0*w**2. Factor l(v).
-5*v*(v - 4)
Let g(s) be the first derivative of 1/2*s + 1/8*s**2 + 10 - 1/12*s**3. Factor g(m).
-(m - 2)*(m + 1)/4
Let j(d) = -5*d**2 - 29*d - 16. Let b be j(-5). Let i(a) be the second derivative of 1/7*a**2 - 1/84*a**b + 0 + 5*a + 1/42*a**3. Let i(x) = 0. Calculate x.
-1, 2
Let g(w) = -w**4 - w**2 + w. Let n(o) = 7*o**4 - 5*o**3 - 7*o**2 - 13*o. Let y(a) = -6*g(a) - n(a). Find i such that y(i) = 0.
-1, 0, 7
Let h = -19 + 19. Suppose 6*v - 19 = v + 3*b, 5*v - 4*b - 22 = 0. Factor -v + 3 - y**2 + 0*y + h*y.
-(y - 1)*(y + 1)
Let u be 51 - 53 - (-43)/20. Let k(y) be the first derivative of -5/12*y**3 + 0*y - 2 - 7/16*y**4 - 1/8*y**2 - u*y**5. Suppose k(x) = 0. What is x?
-1, -1/3, 0
Suppose -2*g + 8 + 7/2*g**3 - 1/2*g**4 - 6*g**2 = 0. Calculate g.
-1, 2, 4
Let m(o) be the third derivative of 0*o + 1/270*o**5 + 0*o**4 - 14*o**2 + 0 + 1/540*o**6 + 0*o**3. Factor m(r).
2*r**2*(r + 1)/9
Let h = 73 + -71. Find v, given that 65*v**h - v**5 + v - 33*v**2 - 34*v**2 + 2*v**4 = 0.
-1, 0, 1
What is y in -20/7*y**3 + 0*y + 0 + 4/7*y**4 - 200/7*y**2 = 0?
-5, 0, 10
Solve -1 + 8*k + 6*k + 51*k + 9*k**2 - 9*k + 13 = 0 for k.
-6, -2/9
Let a(g) be the second derivative of -g**6/165 - g**5/55 + 7*g**4/66 - 4*g**3/33 - 58*g + 2. Solve a(i) = 0 for i.
-4, 0, 1
Let 0 + 1/2*i**2 - 1/2*i = 0. Calculate i.
0, 1
Let a be 2/(-8) + (-189)/12 + -5. Let s be ((-3)/2 + 0)*(19 + a). Factor -1/4*f**5 + 0 + 1/2*f**s + 0*f**4 + 0*f**2 - 1/4*f.
-f*(f - 1)**2*(f + 1)**2/4
Suppose -48 = 4*z + 8*z. Let x be (-90)/z*(147/(-30) + 5). Suppose 9/4*p**2 + 0 - 3/4*p + 3/4*p**4 - x*p**3 = 0. Calculate p.
0, 1
Let i(t) be the third derivative of -t**6/780 + 19*t**5/130 - 261*t**4/52 - 841*t**3/39 + 117*t**2. Factor i(f).
-2*(f - 29)**2*(f + 1)/13
Let b(w) = -7*w**2 + 6*w. Suppose -2*u + 4 = v, -4*v + 5*u = -0*v - 55. Let q(i) = 3*i**2 - 3*i. Let c(j) = v*q(j) + 4*b(j). Factor c(t).
2*t*(t - 3)
Find f, given that -144*f + 15 + 21*f - 69 + 5*f - 46*f**2 - 110*f + 8*f**3 = 0.
-3, -1/4, 9
Let w(o) be the second derivative of o**4/27 + 32*o**3/27 + 14*o**2 + 4*o - 5. Factor w(x).
4*(x + 7)*(x + 9)/9
Factor -32*s**2 + 317*s + 4 - 2*s**3 - 307*s + 20*s**3.
2*(s - 1)**2*(9*s + 2)
Let w(i) be the third derivative of i**9/10080 + i**8/1680 + i**7/720 + i**6/720 + 5*i**4/24 + 3*i**2. Let h(t) be the second derivative of w(t). Factor h(z).
z*(z + 1)**2*(3*z + 2)/2
Suppose 0 = -5*s - 5*q + 2*q + 15, 5 = 3*s + q. Let j(b) be the first derivative of 2/5*b**3 + s*b - 5 + 0*b**2 + 9/20*b**4. Factor j(k).
3*k**2*(3*k + 2)/5
Let s(n) be the third derivative of n**9/13608 - n**7/1260 - n**6/810 - 10*n**3/3 - 21*n**2. Let a(d) be the first derivative of s(d). Factor a(i).
2*i**2*(i - 2)*(i + 1)**2/9
Let w be (512/56)/((-12)/(-56)). Suppose -16*t**2 + 8/3*t**3 - 1/6*t**4 - w + 128/3*t = 0. Calculate t.
4
Let d be 10/25*5/6. Solve -13/3*v + 7/3*v**4 + 22/3*v**2 - 6*v**3 + 1 - d*v**5 = 0.
1, 3
Let -56/5 - 22/5*s**2 - 2/5*s**3 - 64/5*s = 0. What is s?
-7, -2
Let s(n) = 55*n - 110. Let m be s(2). What is u in -6*u**4 - 22/3*u**3 + m*u**2 + 0 - 4/3*u**5 + 8/3*u = 0?
-2, -1, 0, 1/2
Let q(m) be the third derivative of -m**6/40 - 2*m**5/5 - 17*m**4/8 - 5*m**3 - 61*m**2. Find c such that q(c) = 0.
-5, -2, -1
Let p be (-12)/(-10)*(-5)/(-2). Suppose 37 = 3*i - 5*k, 3*k - 2*k - 7 =