= o**3 + o. Let a(g) = d*h(g) + 2*x(g). Factor a(y).
-4*(y - 1)*(y + 4)**3
Let l = 24 - 25. Let w(i) = -i**4 + 21*i**3 + 19*i**2 + 11*i + 9. Let h(b) = b**4 - b**3 + b**2 + b - 1. Let s(x) = l*w(x) - 5*h(x). Factor s(p).
-4*(p + 1)**4
Let w(l) = 264*l**2 + 80*l - 124. Let b(o) = -13*o**2 + o + 1. Let k(x) = -20*b(x) - w(x). Factor k(q).
-4*(q - 1)*(q + 26)
Let a(h) be the third derivative of h**6/60 - 8*h**5/45 + 17*h**4/36 - 4*h**3/9 - 79*h**2 - 5. Factor a(k).
2*(k - 4)*(k - 1)*(3*k - 1)/3
Let t(f) be the first derivative of 2/39*f**3 + 7/13*f**2 + 28 + 0*f. Factor t(s).
2*s*(s + 7)/13
Suppose 689*k - 80 = 341*k + 328*k. Find p, given that 9*p + 109/4*p**2 + 1 + 49/4*p**k + 63/2*p**3 = 0.
-1, -2/7
Let v(s) be the third derivative of 0*s + 0 - 32*s**2 - 2*s**3 - 2/3*s**4 - 1/15*s**5. Find n such that v(n) = 0.
-3, -1
Let o(f) be the third derivative of -f**6/40 - 14*f**2 - 2*f. Suppose o(t) = 0. Calculate t.
0
Let j(p) be the second derivative of p**6/75 - 21*p**5/100 - 61*p**4/60 - 17*p**3/10 - 13*p**2/10 + 139*p. What is s in j(s) = 0?
-1, -1/2, 13
Factor -72/13 - 10/13*o + 2/13*o**2.
2*(o - 9)*(o + 4)/13
Let c(b) be the second derivative of -b**4/66 - 32*b**3/11 + 2*b + 239. Solve c(q) = 0 for q.
-96, 0
Let d(l) = -16*l**2 + 124*l + 34. Let b be d(8). Factor -4/9 - 1/9*i**b + 4/9*i.
-(i - 2)**2/9
What is b in -52/3*b - 50/3 - 2/3*b**2 = 0?
-25, -1
Suppose l - 5 = 0, -3 + 23 = -2*v + 4*l. Factor 2/11*u**2 - 2/11 + v*u.
2*(u - 1)*(u + 1)/11
Let j = -1611 - -4837/3. Factor 8/3 - 2/3*g**3 + 14/3*g + j*g**2.
-2*(g - 4)*(g + 1)**2/3
Let v = -41/18 - -3007/36. Let q = v + -81. Factor 3/4*r**3 + 0*r + q*r**5 + 0 + 1/4*r**2 + 3/4*r**4.
r**2*(r + 1)**3/4
Let h(y) be the third derivative of 3/280*y**7 - 3/160*y**6 + 1/80*y**5 + 0*y**4 - 19*y**2 + 0 - 1/448*y**8 + 0*y**3 + 0*y. Suppose h(l) = 0. What is l?
0, 1
Let f(n) = -n**3 + 23*n**2 + 30*n - 141. Let s be f(24). Let t(o) be the second derivative of -3/14*o**s + 5/28*o**4 + 3/70*o**5 + 0 + o + 0*o**2. Factor t(u).
3*u*(u + 3)*(2*u - 1)/7
Let s(v) be the first derivative of 0*v - 4 - 3/4*v**4 + 1/5*v**5 + v**3 - 1/2*v**2. Factor s(q).
q*(q - 1)**3
Let g(a) be the third derivative of -a**7/1890 + a**6/540 + a**5/135 - a**4/27 + a**2 + 524*a. Factor g(q).
-q*(q - 2)**2*(q + 2)/9
Let z(i) be the first derivative of i**5/5 - 3*i**4/2 + i**3 + 5*i**2 - 79. Find u, given that z(u) = 0.
-1, 0, 2, 5
Let r = 29 - 26. Find l, given that 10*l**2 - 8 - 4*l + l**3 + 1 - 9*l**2 + r = 0.
-2, -1, 2
Suppose -81 = -23*j - 12. Let k(r) be the second derivative of 0*r**3 + j*r + 1/24*r**4 + 0 + 0*r**2. Solve k(t) = 0.
0
Let k(u) be the third derivative of 1/50*u**5 + 0*u - 1/200*u**6 + 0*u**3 - 1/40*u**4 - u**2 + 0. Factor k(b).
-3*b*(b - 1)**2/5
Let a(d) = -9*d**2 + 30*d - 105. Let q(h) = -8*h**2 + 32*h - 104. Let k(w) = -5*a(w) + 6*q(w). Find r such that k(r) = 0.
3, 11
Let t(f) be the first derivative of 4*f**3 + 0*f + 0*f**2 + 198/5*f**5 - 28/3*f**6 - 19 - 47/2*f**4. Find y, given that t(y) = 0.
0, 1/4, 2/7, 3
Let v(n) = 6*n**3 + 150*n**2 + 300*n + 147. Let h(l) = 17*l**3 + 451*l**2 + 899*l + 441. Let t(g) = 3*h(g) - 8*v(g). Let t(p) = 0. What is p?
-49, -1
Find k, given that k**3 + 78*k**2 + 10 - 68*k**2 - 20*k**4 + 25*k - 5*k**5 - 21*k**3 = 0.
-2, -1, 1
Let r(a) = -60*a**3 - 238*a**2 + 9*a + 5. Let u be r(-4). Determine j so that 3/4*j**2 + j - u = 0.
-2, 2/3
Let o(v) be the third derivative of 2*v**7/315 + v**6/24 + 2*v**5/45 - v**4/24 - 51*v**2. Factor o(c).
c*(c + 1)*(c + 3)*(4*c - 1)/3
Let b = 6 - 0. Suppose 0 = f + f - b. Solve -1/5*q + 0 + 2/5*q**2 - 1/5*q**f = 0.
0, 1
Suppose -10/3 - 14/9*n - 2/9*n**3 + 14/9*n**2 = 0. Calculate n.
-1, 3, 5
Let p(q) be the second derivative of -q**4/54 + 2*q**3/9 + 248*q. Factor p(j).
-2*j*(j - 6)/9
Let y = 5589 - 72655/13. Let 0 - 8/13*g - y*g**2 = 0. Calculate g.
-4, 0
Let y(f) be the first derivative of -4*f**5/5 - 13*f**4 - 40*f**3/3 + 48*f**2 + 149. Factor y(r).
-4*r*(r - 1)*(r + 2)*(r + 12)
Let j(a) be the second derivative of -a**6/360 - a**5/15 - 2*a**4/3 + 3*a**3 + 20*a. Let l(z) be the second derivative of j(z). Factor l(x).
-(x + 4)**2
Let k(j) = j**3 - 7*j**2 - 4*j + 7. Let v(m) = -16*m**3 + 20*m**3 + 20 - 20*m**2 + 3*m - 15*m. Let p(n) = -8*k(n) + 3*v(n). Factor p(s).
4*(s - 1)**2*(s + 1)
Let y(z) = 3*z**4 - 3*z**3 - 12*z**2 - 4*z - 4. Let x(s) = -8*s**4 + 10*s**3 + 36*s**2 + 11*s + 11. Let u(r) = -4*x(r) - 11*y(r). Determine t so that u(t) = 0.
-4, -3, 0
Factor -3/8*w**3 - 3/8*w**2 + 0 + 0*w + 9/4*w**4.
3*w**2*(2*w - 1)*(3*w + 1)/8
Let l(h) = -h**3 - h**2 + 2*h - 1. Let i(s) = -6*s**3 - 3*s**2 + 19*s - 5. Let n(x) = -4*i(x) + 28*l(x). Factor n(m).
-4*(m + 1)**2*(m + 2)
Let l(h) = h**2 - 19*h + 21. Let m be l(18). Suppose 4*r**3 + 5*r**3 - 50*r**4 + 32*r**2 + 8*r + r**m = 0. What is r?
-2/5, 0, 1
Suppose 4*z + 16 = 2*d, 2*z = -171*d + 168*d. Let b(v) = v - 1. Let w be b(4). Factor 3/2*k**w - 21/2*k**d - 27/2 + 45/2*k.
3*(k - 3)**2*(k - 1)/2
Let a be (-3)/15*-941 + 4. Let r = -189 + a. Factor 0 + 4/5*f**3 - r*f**2 + 16/5*f.
4*f*(f - 2)**2/5
Factor -1458/5 - 22*x**2 + 1566/5*x + 2/5*x**3.
2*(x - 27)**2*(x - 1)/5
Let u(k) = -4*k**2 + 5*k - 4. Let d(m) = -9*m**2 + 11*m - 9. Let n = 16 - 16. Suppose n = -a - a - 14. Let l(v) = a*u(v) + 3*d(v). Suppose l(g) = 0. What is g?
1
Let g(s) be the second derivative of 3*s**5/40 + 13*s**4/8 - 29*s**3/4 + 45*s**2/4 + 31*s. Solve g(q) = 0 for q.
-15, 1
Let k(i) = -i**2 + 1. Let q(o) = 23*o**2 - 26*o + 3. Suppose 0*u + 4 = -2*u. Let p(j) = u*k(j) - 2*q(j). Factor p(h).
-4*(h - 1)*(11*h - 2)
Let q(x) be the third derivative of 2/33*x**3 + 0*x - 5/132*x**4 - 7*x**2 + 0 + 2/165*x**5 - 1/660*x**6. Factor q(r).
-2*(r - 2)*(r - 1)**2/11
Suppose 31 = 2*o - 5*n, 3*o - 12 = -2*n - 2*n. Let m = o + -8. Factor m - 2/9*k**3 + 4/9*k**2 - 2/9*k.
-2*k*(k - 1)**2/9
Factor -5/4*r + 1/4*r**2 + 0 + 3/2*r**3.
r*(r + 1)*(6*r - 5)/4
Let b(w) = -15*w**3 + 6*w**2. Let c(j) = j**3 - 2*j**2. Let p(l) = -b(l) - 5*c(l). Factor p(n).
2*n**2*(5*n + 2)
Let f(b) be the second derivative of b**6/30 - 3*b**5/10 + b**4 - 5*b**3/3 + 3*b**2/2 - 4*b - 1. Let f(m) = 0. What is m?
1, 3
Let s(b) be the first derivative of -b**4/10 + 13*b**2/5 - 24*b/5 - 40. Let s(x) = 0. Calculate x.
-4, 1, 3
Let i = 95 - 18. Let z = 235/3 - i. Factor -2*h**3 + 10/3*h**4 - 2/3*h**2 + 0 + 2/3*h - z*h**5.
-2*h*(h - 1)**3*(2*h + 1)/3
Let 0 - 42/5*x + 2/5*x**2 = 0. What is x?
0, 21
Let p = 1701/4 + -425. Let m(w) be the first derivative of -1/2*w**2 + p*w**3 - 5 - w. Factor m(n).
(n - 2)*(3*n + 2)/4
Determine p, given that -57/4*p**3 + 3/4*p**4 - 63/4*p + 0 - 123/4*p**2 = 0.
-1, 0, 21
Suppose -3*m - 24 = -6*i, 68*i = 70*i - 3*m - 12. Let 3/2*q**i + 1/4*q**2 + 0*q + q**5 + 9/4*q**4 + 0 = 0. Calculate q.
-1, -1/4, 0
Solve 10 + 5*p - 13*p**2 - 5*p**3 - 21*p**2 + 24*p**2 = 0 for p.
-2, -1, 1
Let z be 1 + (-65)/338 - 2/4. Let v = -186/5 + 2468/65. Factor v*k + 2/13*k**3 + z + 8/13*k**2.
2*(k + 1)**2*(k + 2)/13
Let q(i) = -2*i**2 + i - 1. Let k(m) = -8*m**2 + 13*m + 3. Let f(r) = -k(r) + 5*q(r). Factor f(z).
-2*(z + 2)**2
Let j = 23/36900 + 1/369. Let m(f) be the third derivative of 2*f**2 + 0*f**3 + j*f**6 + 1/300*f**5 - 1/120*f**4 + 0 + 0*f. Find k such that m(k) = 0.
-1, 0, 1/2
Let x be ((-4)/1)/2*(-7)/(-14). Let y be ((4/12)/1)/(x/(-4)). Find q such that y*q - 2 + 2/3*q**2 = 0.
-3, 1
Let w = 347297/60 + -5788. Let h = -1/12 + w. Solve h*l**2 + 1/5 + 2/5*l = 0 for l.
-1
Let f(h) be the second derivative of 2*h**7/315 + h**6/30 - 2*h**4/9 + 19*h**2/2 + 13*h. Let u(q) be the first derivative of f(q). Find j such that u(j) = 0.
-2, 0, 1
Let p(h) be the first derivative of h**3/4 - 9*h**2/8 + 3*h/2 + 11. Factor p(r).
3*(r - 2)*(r - 1)/4
Let q(z) = -28*z**2 - 20*z + 8. Let p(y) = 3*y**2 - 7 + 6 - 2*y**2. Let v be (1 + -2)*(0 - 1). Let l(w) = v*q(w) + 24*p(w). Solve l(s) = 0.
-4, -1
Let c(m) be the first derivative of -m**7/14 - 2*m**6/15 - m**5/20 - 23*m - 2. Let t(k) be the first derivative of c(k). Factor t(d).
-d**3*(d + 1)*(3*d + 1)
Let f(s) = -42*s**2 + 1071*s + 12729. Let z(q) = 5*q**2 - 134*q - 1591. Let g(r) = 4*f(r) + 33*z(r). Factor g(p).
-3*(p + 23)**2
Let j(n) = -n**2 - 18*n + 19. Let w be j(-19). Let z(o) = 2*o**3 + o**2 - o. Let d be z(w). Factor 0*r + 3/4*r**3 - 1/4*r**5 + 0*