**2 + 118. Factor k(y).
-2*y*(y - 3)*(y - 2)
Let p(m) be the first derivative of m**4/10 - 2*m**3/3 - 6*m**2/5 - 281. Suppose p(y) = 0. Calculate y.
-1, 0, 6
Suppose l + 3 = q, 0 = 3*q + 3*l - 22 + 1. Let i(s) be the second derivative of 0 + 8*s - 1/6*s**4 + 0*s**3 + 0*s**2 - 1/5*s**q - 1/15*s**6. Factor i(d).
-2*d**2*(d + 1)**2
Let u(b) be the third derivative of 16*b**2 + 1/36*b**4 - 1/30*b**5 + 1/180*b**6 - 1/252*b**8 + 0 + 0*b**3 + 0*b + 1/105*b**7. Suppose u(l) = 0. Calculate l.
-1, 0, 1/2, 1
Let y(j) = -5*j**5 + 3*j**4 + 7*j**3 + j. Let h(s) = 6*s**5 - 4*s**4 - 8*s**3 - 2*s. Let f = -106 - -109. Let t(g) = f*h(g) + 4*y(g). Factor t(r).
-2*r*(r - 1)**2*(r + 1)**2
Factor -1/5*g**3 + 1/5*g + 7/5 - 7/5*g**2.
-(g - 1)*(g + 1)*(g + 7)/5
Suppose 2*l + 10*l = 36. Suppose 0 + 9 = l*o. Determine h so that 0 + 13/3*h**4 + 2/3*h - o*h**3 - 5/3*h**5 - 1/3*h**2 = 0.
-2/5, 0, 1
Suppose 0 = -9*x + 7 + 11. Let z be ((-4)/(-21))/(x/7). Factor -1/3 - z*t - 1/3*t**2.
-(t + 1)**2/3
Suppose 0 = -2*k - 2*k + 8. Suppose -k*d = -7 + 5. Solve d + 2 - 8*g + 2*g + 3*g**2 = 0 for g.
1
Let a(c) be the second derivative of c**6/240 + c**5/60 + 23*c**2/2 + 2*c. Let k(b) be the first derivative of a(b). Let k(g) = 0. What is g?
-2, 0
Let k(x) = x**2 - 16*x - 12. Let y(q) = 3*q**2 - 49*q - 34. Let n(p) = 17*k(p) - 6*y(p). Solve n(z) = 0.
0, 22
Let l(b) be the first derivative of -b**6/180 + b**5/60 + b**4/6 - 2*b**3/3 + 10. Let q(f) be the third derivative of l(f). Find p, given that q(p) = 0.
-1, 2
Let z be (2 - -45)*(6 - 5). Suppose h = -3*b - 0*b + 37, -3*b + h + z = 0. Factor b*s**4 + 24*s**2 + 27*s + 5*s + 16 + 8*s**3 - 13*s**4.
(s + 2)**4
Suppose -m + f + 5 = 0, m - 2*f - 2 = -4*f. Suppose -m*b + 221 = 77. Factor 26 - 112*w - b*w**3 + 120*w**2 + 12 - 6.
-4*(w - 2)*(3*w - 2)**2
Determine i so that 190*i - 120 + 94*i**2 - 119*i**2 - 13*i**3 - 5*i**4 - 27*i**3 = 0.
-6, -4, 1
Let y(a) be the third derivative of 0 + 11*a**2 - 2/3*a**4 + 1/15*a**5 + 0*a + 2*a**3. Let y(m) = 0. Calculate m.
1, 3
Let j(r) be the third derivative of -r**7/420 + r**6/15 - r**5/8 + 148*r**2. Factor j(m).
-m**2*(m - 15)*(m - 1)/2
Let s(z) be the third derivative of -z**6/60 + z**4/4 - 2*z**3/3 + z**2 - 50*z. Let s(q) = 0. What is q?
-2, 1
Let m = -18 + 19. Let t be ((12/45)/m)/((-12)/(-30)). Factor 0 - 4/3*k**2 + t*k + 2/3*k**3.
2*k*(k - 1)**2/3
Let d(j) = 2*j**2 + 3*j - 3. Let h(l) = -3*l**2 - 5*l + 4. Let t(q) = -4*d(q) - 3*h(q). Factor t(x).
x*(x + 3)
Let j(i) be the third derivative of i**6/72 + i**5/6 - 16*i**3/3 - 13*i**2 - 2. Let m(t) be the first derivative of j(t). Determine d, given that m(d) = 0.
-4, 0
Let k(m) be the first derivative of 30/7*m**3 + 3000/7*m - 3/28*m**4 - 13 - 450/7*m**2. Solve k(v) = 0.
10
Let w be -3*1*(952/(-51) + 12). Suppose -6 - 40/3*r**3 - w*r - 8/3*r**4 - 74/3*r**2 = 0. What is r?
-3/2, -1
Let s = 3/8 + -5/56. Suppose -2/7*b**2 + 8/7 + 8/7*b - s*b**3 = 0. What is b?
-2, -1, 2
Suppose 10 = -4*j - j. Let g be j/3 - 203/(-21). Let -7*w + g*w**2 - 2*w + 3*w + 0*w**2 = 0. What is w?
0, 2/3
Let q(k) = k**3 + k**2 - k + 1. Let j(d) = 4*d**3 - 3*d**2 - 2*d + 3. Let n(z) = 2*j(z) - 2*q(z). Factor n(y).
2*(y - 1)**2*(3*y + 2)
Let h(r) = -30*r**3 - 90*r**2 - 123*r + 261. Let y(o) = 7*o**3 + 23*o**2 + 31*o - 65. Let w(m) = -2*h(m) - 9*y(m). Factor w(l).
-3*(l - 1)*(l + 3)*(l + 7)
Find d, given that 290/3 - 95*d - 5/3*d**2 = 0.
-58, 1
Let b(r) be the first derivative of 0*r**2 - 4/3*r**3 + 1/1080*r**6 - 1/360*r**5 + 4 + 0*r + 0*r**4. Let x(t) be the third derivative of b(t). Factor x(y).
y*(y - 1)/3
Let b(t) be the third derivative of 1/48*t**4 + 1/672*t**8 + 0*t**7 + 0*t**5 - 3*t**2 + 0*t**3 + 0 - 1/120*t**6 + 0*t. Suppose b(l) = 0. Calculate l.
-1, 0, 1
Suppose -547*d + 529*d = -72. Determine j, given that -40/3*j - 44/3*j**2 - 16/3*j**3 - d = 0.
-1, -3/4
Factor -11*n**3 - 22*n - 64*n**2 + 13*n**3 + 51*n - 5*n**3 + 84*n - 46.
-(n - 1)*(n + 23)*(3*n - 2)
Suppose 2*v - 13 - 5 = 0. Let u(h) be the second derivative of 0*h**3 + v*h + 0 - 1/42*h**4 + 0*h**2. Find a, given that u(a) = 0.
0
Let s = 23/12 - -1951/84. Let -82/7*p**2 + s*p**3 - 32/7*p**4 + 10/7*p + 0 = 0. What is p?
0, 1/4, 5
Let a(g) = -g**3 + 20*g**2 + 7. Let x be a(20). Suppose -2*l = v + 8, -3*v - x*l - 14 = -3*l. Let 0 - 4 + 0 - v*o + 2*o**2 = 0. What is o?
-1, 2
Suppose -5*z = -18 - 27. Suppose 0 = -z*x + 2*x + 448. Let -t**3 + x - 23*t - 15*t - 10*t + 12*t**2 = 0. Calculate t.
4
Let i be -2*10/25*-10. Find d, given that 6*d**2 - i*d - 5*d**2 + 11*d = 0.
-3, 0
Suppose 2*l - 71 = 3*q + l, 2*q - 4*l + 34 = 0. Let r be 34/(-136) + q/(-36). Let 1/9*b**3 + 8/9*b + r + 5/9*b**2 = 0. What is b?
-2, -1
Let i(k) be the third derivative of 13*k**8/6720 + k**7/1680 - 11*k**3/2 + 49*k**2. Let p(m) be the first derivative of i(m). Factor p(t).
t**3*(13*t + 2)/4
Suppose 2*r = 3*r + 12. Let k(v) = v**3 + 11*v**2 - 11*v + 15. Let c be k(r). Factor 2*j**4 + 4*j**4 - 3*j**4 + 0*j**4 + j**5 + c*j**3 + j**2.
j**2*(j + 1)**3
Let c(j) = -13 + 8841*j**2 + 2 - 8842*j**2 - 9*j. Let s be c(-2). Solve 0*u - 2/5*u**2 + 2/5*u**s + 0 = 0.
0, 1
Let -30/13*n**4 - 66/13*n**3 + 0*n + 0 - 34/13*n**2 + 2/13*n**5 = 0. What is n?
-1, 0, 17
Let i(o) = -o**2 + 2*o + 0*o + 7 + 2*o**2 + 2*o. Let x(f) = -1. Let z(d) = -i(d) - 3*x(d). Let z(s) = 0. What is s?
-2
Let g(u) = -100*u**4 - 200*u**3 + 1275*u**2 + 45*u - 45. Let v(d) = 9*d**4 + 18*d**3 - 116*d**2 - 4*d + 4. Let q(o) = 4*g(o) + 45*v(o). Factor q(i).
5*i**2*(i - 4)*(i + 6)
Factor 1/6*y**3 + 0 + 1/3*y**2 + 0*y.
y**2*(y + 2)/6
Let z(c) = -2*c**3 + 2*c**2 - 2*c + 1. Let i(a) = a**3 + a**2 - a. Let h be ((-116)/12 + 7)*(-6)/4. Let d(f) = h*z(f) + 4*i(f). Find p such that d(p) = 0.
1
Let s(f) = -7*f**3 + 138*f**2 + 418*f + 222. Let l(a) = 13*a**3 - 276*a**2 - 835*a - 447. Let v(m) = 2*l(m) + 5*s(m). Factor v(j).
-3*(j - 18)*(j + 2)*(3*j + 2)
Let n(i) be the second derivative of -i**7/840 - i**6/24 - 5*i**5/8 - 125*i**4/24 - 3*i**3/2 + 11*i. Let b(d) be the second derivative of n(d). Factor b(w).
-(w + 5)**3
Let x(r) be the third derivative of -5*r**8/2184 + 8*r**7/1365 + r**6/195 - r**5/39 + r**4/156 + 2*r**3/39 - 103*r**2. Suppose x(y) = 0. Calculate y.
-1, -2/5, 1
Let v(i) be the second derivative of 1/100*i**5 + 0*i**2 + 18*i + 0 + 1/10*i**4 + 1/6*i**3. Factor v(p).
p*(p + 1)*(p + 5)/5
Let j = 24 + -26. Let z(o) = o**3 + 3*o**2 - 1. Let f be z(j). Factor -15*y + 6*y + 6 - 11*y - 4*y**4 + 4*y**f + 2 + 12*y**2.
-4*(y - 1)**3*(y + 2)
Let l = -164 - -176. Suppose 3*y - 3*q = -2*y - l, 12 = 3*q. Suppose -6/11*b**2 + 0*b - 2/11*b**3 + y = 0. Calculate b.
-3, 0
Let -29*m**3 + 504*m + 13*m**2 - 25*m**4 + 1446 + 196*m**2 - 3*m**5 - 1302 = 0. Calculate m.
-4, -3, -1/3, 3
Let r(s) be the first derivative of 2*s**3/3 + 73*s**2 + 144*s + 27. What is b in r(b) = 0?
-72, -1
Let b(x) = 1 - 2*x + 3 - 6*x**2 - 9*x + 7*x**2. Let i be b(11). Suppose -3*k**5 + 6*k**4 - 16*k**3 + i*k**2 + 3*k**5 - k**4 + 7*k**5 = 0. What is k?
-2, 0, 2/7, 1
Let c(f) be the first derivative of 2*f**7/7 - 3*f**6/10 - 3*f**5/20 + 3*f - 6. Let n(x) be the first derivative of c(x). Determine u so that n(u) = 0.
-1/4, 0, 1
Let p(u) = u**3 - 12*u**2 + 20*u + 3. Let w be ((-84)/70)/((-6)/50). Let m be p(w). Factor 0*f + 0 + 2/3*f**m - 8/9*f**5 + 2/9*f**2 + 0*f**4.
-2*f**2*(f - 1)*(2*f + 1)**2/9
Let t(q) = 3*q**2 + 2*q + 2. Let c(d) = 80*d**2 + 490*d + 910. Let b(a) = c(a) - 25*t(a). Find r, given that b(r) = 0.
-86, -2
Let s(q) = -18*q**5 + 837*q**4 - 2633*q**3 + 2424*q**2 - 685*q. Let k(u) = u**4 + u**3 + u. Let r(f) = 3*k(f) - s(f). Find y, given that r(y) = 0.
0, 2/3, 2, 43
Let l(v) be the second derivative of v**5/15 + v**4/3 - 20*v**3/9 - 16*v**2 + 7*v + 15. What is g in l(g) = 0?
-4, -2, 3
Determine v so that -1/3*v + v**2 + 1/3*v**3 - 2/3 - 1/3*v**4 = 0.
-1, 1, 2
Let c(d) be the second derivative of d**5/80 + 151*d**4/48 + 1925*d**3/8 + 5625*d**2/8 - 702*d. Factor c(q).
(q + 1)*(q + 75)**2/4
Suppose 4*u - u + 48 = 5*d, 16 = 2*d - 2*u. Suppose 0*r - d = -4*r. Factor 7*l**3 - 26*l + l**3 - 36*l**2 + 18*l**5 + r + 40*l**4 - 7.
2*(l - 1)*(l + 1)**3*(9*l + 2)
Suppose -18 = -12*v + 30. Let r(s) be the first derivative of 0*s - 2/3*s**3 + 1/2*s**v + 0*s**2 - 1/3*s**6 + 4 + 2/5*s**5. Let r(t) = 0. Calculate t.
-1, 0, 1
Factor -6 + 1/2*