35. Let y(q) be the first derivative of p(q). Factor y(g).
-g*(g - 3)*(g + 1)*(g + 2)/8
Let g(i) be the second derivative of -2*i**7/21 + 14*i**6/15 - 18*i**5/5 + 22*i**4/3 - 26*i**3/3 + 6*i**2 - 2*i - 44. Find u such that g(u) = 0.
1, 3
Let t = 5289 + -26439/5. Factor -3*a**2 + 0 - 9/5*a**3 - t*a.
-3*a*(a + 1)*(3*a + 2)/5
Let t(n) = -n**3 + 2*n**2 - n. Let y(u) be the third derivative of -u**6/120 + u**5/30 - u**4/24 - 23*u**2. Let s(p) = 7*t(p) - 6*y(p). Factor s(k).
-k*(k - 1)**2
Let q(r) be the first derivative of r**7/210 - r**6/30 - 25*r**3/3 - 1. Let u(f) be the third derivative of q(f). Determine i so that u(i) = 0.
0, 3
Let q(w) be the second derivative of 1/8*w**4 + 0 + 0*w**2 - 2*w - 1/6*w**3 - 1/60*w**6 + 0*w**5. Factor q(l).
-l*(l - 1)**2*(l + 2)/2
Let a = 25/598 + 137/299. Let 1 + a*p**2 + 3/2*p = 0. Calculate p.
-2, -1
Let t(s) be the second derivative of s**6/30 - s**5/2 - 26*s**4/3 - 41*s**3 - 153*s**2/2 - 152*s + 1. Suppose t(z) = 0. What is z?
-3, -1, 17
Let o be (-1 - -2)/(-1) + 26. Suppose -5*i + o = -2*a, 3*i - 3*a = 2*i + 18. Factor 2/5*g**2 + 6/5*g**4 + 6/5*g**i + 0 + 2/5*g**5 + 0*g.
2*g**2*(g + 1)**3/5
What is l in -12/5 - 3/5*l**3 - 27/5*l - 18/5*l**2 = 0?
-4, -1
Let h be ((-616)/(-539))/((-4)/(-14)). Determine n, given that 1/4*n**h + 1/4*n**2 + 0*n + 0 - 1/2*n**3 = 0.
0, 1
Let y(p) be the second derivative of p**4/12 - 3*p**3/2 + 9*p**2 + 2*p - 36. Determine j so that y(j) = 0.
3, 6
Let o be 5/((-90)/(-32)) + 4/18. What is b in -9*b + 7 - 11 - 3*b - 4*b + 4*b**3 + b**o = 0?
-2, -1/4, 2
Suppose -13*v + 19*v**2 - 15 + 5*v**2 - 21*v**3 + 21*v**2 + 10*v - 6*v**4 = 0. What is v?
-5, -1/2, 1
Let w(l) = 219*l - l**2 + 23*l**2 - 197*l + 7*l**3. Let u(x) = 22*x**3 + 67*x**2 + 67*x. Let c(s) = 2*u(s) - 7*w(s). Factor c(i).
-5*i*(i + 2)**2
Let b(s) be the third derivative of s**7/1050 + s**6/200 - s**5/25 - s**4/6 + 8*s**3/5 - 289*s**2. Suppose b(v) = 0. What is v?
-4, -3, 2
Let w(r) = -r**3 - 8*r**2 + 8*r - 5. Let j be w(-9). Suppose j*q - 14 = -6. Factor -4/3 - 2*c - 2/3*c**q.
-2*(c + 1)*(c + 2)/3
Suppose 29 = -4*a - 11. Let q = a - -12. Determine l, given that 9*l**4 + 6*l - 4*l**2 - 6*l**3 - 5*l**q + 0*l**2 = 0.
-1, 0, 2/3, 1
Let u be 1/((-24)/8 + 11). Factor 3/4*m - 5/8 - u*m**2.
-(m - 5)*(m - 1)/8
Let p be (-145)/(-5) + 2 + -2. Let h = p - 17. Find j such that 12*j**3 - h - 12*j + 4*j**3 + 8*j**2 - 4*j**5 + 4 = 0.
-1, 1, 2
Let t = -303 + 311. Let o be (3/18*t)/((-132)/(-18)). Factor 0 - o*n**4 - 6/11*n**2 - 2/11*n - 6/11*n**3.
-2*n*(n + 1)**3/11
Factor 0 + 3/7*d**5 + 39/7*d**2 + 12/7*d + 3*d**4 + 45/7*d**3.
3*d*(d + 1)**3*(d + 4)/7
Let l(t) be the third derivative of t**6/540 - t**4/36 + 2*t**3/27 - 17*t**2. Suppose l(m) = 0. What is m?
-2, 1
Solve 2*m**3 - 6*m**3 + 2405*m**4 - 4*m**2 + 4*m - 2401*m**4 = 0.
-1, 0, 1
Let i(x) = 14*x**2 + 15*x**2 + 8*x**2 + x**3 - 32*x**2 + 1 - 2*x. Let f be i(-4). Factor -4*g**2 - 4*g**3 + 4 + f*g - 10*g - 11*g.
-4*(g - 1)*(g + 1)**2
Let h(u) be the third derivative of -u**6/30 - 2*u**5 - 19*u**4/2 - 56*u**3/3 - 3*u**2 - 66*u. Find j such that h(j) = 0.
-28, -1
Let b(w) = -w**2 - 16*w + 111. Let g be b(-21). Let t(a) be the first derivative of -4/3*a**3 - 1/2*a**4 + 0*a + 0*a**2 + 4/5*a**5 + 1/3*a**g - 1. Factor t(n).
2*n**2*(n - 1)*(n + 1)*(n + 2)
Let l(i) be the second derivative of 3*i**4/2 - 115*i**3/3 - 26*i**2 - 150*i. Determine q so that l(q) = 0.
-2/9, 13
Let n = 182 + -232. Let x be 3 + (n/(-12))/(3/(-2)). Factor -x*l**3 - 2/9*l**4 + 4/9*l**2 + 0 + 0*l.
-2*l**2*(l - 1)*(l + 2)/9
Suppose -2*t - 6 + 2 = 0. Let d(r) = r**3 + 31*r**2 - 32*r + 9. Let h(v) = -8*v**2 + 8*v - 2. Let b(a) = t*d(a) - 9*h(a). Factor b(c).
-2*c*(c - 4)*(c - 1)
Find z, given that -18*z - 723*z**3 + 123*z**2 + 684*z**3 - 3 + 3 = 0.
0, 2/13, 3
Let z(b) be the first derivative of 6*b - 7/2*b**3 + 7 + 9*b**2. Let z(s) = 0. Calculate s.
-2/7, 2
Let j = -85 + 88. Factor -5*l**2 - j*l**4 - 3*l**2 - 2*l**2 + 6*l - 5*l**2 + 12*l**3.
-3*l*(l - 2)*(l - 1)**2
Let 15/2*f**2 + 9*f - 27/2 - 3*f**3 = 0. Calculate f.
-3/2, 1, 3
Solve -4/11 + 0*k**2 + 2/11*k**3 - 6/11*k = 0.
-1, 2
Let g(l) = l + 7. Let f be g(7). Let k(p) = 7*p - 95. Let x be k(f). Find h, given that -6/7*h**4 + 0 + 4/7*h - 2/7*h**x + 6/7*h**2 - 2/7*h**5 = 0.
-2, -1, 0, 1
Let u = -144 + 147. Let -3*m**4 + m**3 + u*m + 4*m**4 - 10*m**2 + 5*m = 0. What is m?
-4, 0, 1, 2
Let x(y) be the second derivative of -y**6/20 + 3*y**5/10 + 3*y**4/8 - 9*y**3/2 + 205*y. Suppose x(v) = 0. Calculate v.
-2, 0, 3
Let m(v) be the third derivative of 0 + 0*v - 1/336*v**8 + 1/6*v**4 - 2/105*v**7 - v**2 + 0*v**3 - 1/40*v**6 + 1/15*v**5. Factor m(w).
-w*(w - 1)*(w + 1)*(w + 2)**2
Suppose -2*u + 29 = -4*m + 3*u, 0 = -4*m + 2*u - 14. Let g be m*1 - 15/(-35)*5. Suppose -g - 2/7*n**2 + 8/7*n = 0. Calculate n.
2
Let o(i) be the third derivative of -5*i**8/336 + i**7/14 + i**6/6 + 27*i**2 - 4. Suppose o(y) = 0. What is y?
-1, 0, 4
Let u(d) be the third derivative of 0*d + 35*d**2 + 1/360*d**6 - 1/45*d**5 + 1/3*d**3 + 0 + 1/72*d**4. Suppose u(w) = 0. Calculate w.
-1, 2, 3
Suppose 0 = -5*t + 14 + 1. Factor -32*p + 20*p - 3*p**4 + 0*p**4 + 9*p**t.
-3*p*(p - 2)**2*(p + 1)
Factor 55*t + 2 + t**4 + t**3 - 2 - 79*t + 23*t - t**2.
t*(t - 1)*(t + 1)**2
Let g be (258/60 - 5)/(4/(-2)). Let a(w) be the third derivative of -9/8*w**4 + 0*w + 0 + g*w**5 + w**3 - w**2. Find q, given that a(q) = 0.
2/7, 1
Let b(c) = -5*c**3 - 4*c + 4*c - 6 + 10*c**4 - c + 12*c**2 + 15*c**3. Let z(q) = q**4 - q - 1. Let n(j) = 5*b(j) - 35*z(j). Find w, given that n(w) = 0.
-1, -1/3
Let r(k) be the third derivative of -k**7/168 + k**6/120 + 11*k**5/240 + k**4/48 - 174*k**2. Factor r(w).
-w*(w - 2)*(w + 1)*(5*w + 1)/4
Suppose -3*c = 9, 5*q = 5*c - c + 32. Factor -8*a**3 - 4*a**3 + 10*a**q + 16*a**3.
2*a**3*(5*a + 2)
Factor 0 + 12*k**2 + 23/2*k + 1/2*k**3.
k*(k + 1)*(k + 23)/2
Let 1/5*t**2 + 1/5*t - 2/5 = 0. What is t?
-2, 1
Let k(q) = -45*q**3 - 135*q**2 - 180*q + 335. Let s(f) = -11*f**3 - 34*f**2 - 45*f + 84. Let y(t) = 6*k(t) - 25*s(t). Factor y(z).
5*(z - 1)*(z + 3)*(z + 6)
Let w be (-4)/(-4) + 0 + -1. Suppose w*t - 6*t + 24 = 0. Factor -23*p**4 - 19*p**4 + 42*p**4 - t*p**3 - 14*p**4.
-2*p**3*(7*p + 2)
Factor -45/8*k - 21/8 - 27/8*k**2 - 3/8*k**3.
-3*(k + 1)**2*(k + 7)/8
Let v be (-33)/(-1 + (-750)/(-755)). Let c = v - 94645/19. Factor c + 2/19*s**2 + 16/19*s.
2*(s + 4)**2/19
Factor -31 + 31 + 138*b + 5*b**3 - 57*b**2 - 18*b + 2*b**2.
5*b*(b - 8)*(b - 3)
Let x(b) = 3*b**2 - 97*b + 60. Let f(h) = -h + 5. Let v(a) = 6*f(a) - x(a). Factor v(z).
-(z - 30)*(3*z - 1)
Let w = -219 + 1557/7. Factor -72/7 - 2/7*x**2 + w*x.
-2*(x - 6)**2/7
Factor -6 + 15*v + 0 + v**3 - 22*v.
(v - 3)*(v + 1)*(v + 2)
Find x, given that -19*x**3 - 185*x**4 + 1 + 183*x**4 - 10*x**3 + 13*x**3 - 32*x - 36*x**2 - 11 = 0.
-5, -1
Let s(w) be the third derivative of -w**5/24 + 7*w**4/24 + w**3/4 + 26*w**2. Factor s(x).
-(x - 3)*(5*x + 1)/2
Suppose 3*s - s - 4 = 0. Let y be 3/2*(-6)/(-6). Let 9/2*m**s - 9/2*m**4 + 0 + 3/2*m - y*m**3 = 0. Calculate m.
-1, -1/3, 0, 1
Let r(x) be the first derivative of 2*x**3/9 + 10*x**2/9 + 2*x/3 - 123. Factor r(o).
2*(o + 3)*(3*o + 1)/9
Let u = 102 - 63. Let p(c) = -19*c**2 + 32*c - 13. Let m(v) = -3*v**2 + 5*v - 2. Let q(g) = u*m(g) - 6*p(g). Determine l, given that q(l) = 0.
0, 1
Let v(j) be the second derivative of 0 - 5*j - 1/5*j**2 - 1/100*j**5 + 1/10*j**3 + 0*j**4. Factor v(s).
-(s - 1)**2*(s + 2)/5
Let q(t) = t**4 - 5*t**3 + 7*t**2 + 7*t + 7. Let j(d) = -3*d**3 + 3*d**2 + 3*d + 3. Let c(w) = -7*j(w) + 3*q(w). Factor c(s).
3*s**3*(s + 2)
Let z be 581/385 - 12/(-132). Find k such that -2*k**4 - z*k + 16/5*k**2 + 0 + 14/5*k**3 = 0.
-1, 0, 2/5, 2
Let l = 16 + 2. Let h be -5*(0 - l/15). Solve -2*t + 3*t**2 - h*t**2 + 5*t**2 = 0.
0, 1
Suppose -5*v - 116 = -9*v. Factor -1 + 9*t + 6 + 23*t**2 - v*t - 7*t**3 - 1.
-(t - 2)*(t - 1)*(7*t - 2)
Let q = -41 + 50. Let i = 2 - 0. Suppose -2*c - 3*c**i - 6 + 2*c + q*c = 0. What is c?
1, 2
Let s(y) be the third derivative of 27*y**8/4 - 2166*y**7/35 + 217*y**6/3 - 508*y**5/15 + 20*y**4/3 + 134*y**2. Let s(f) = 0. Calculate f.
0, 2/9, 2/7, 5
Suppose 3*t = 4*t - 6. Suppose 0 = -0*p - 2*p + t. Factor -p*a**5 - 6*a**3 - 11*a**4 - 3*a**3 - 2*a**2 - a**2 + 2*a**4.
-3*a**2*(a + 1)**3
Let 4