et o(l) be the first derivative of r(l). Factor o(x).
2*(x - 3)*(x - 1)**2*(x + 1)/3
Let a(c) = -65*c**4 - 47*c**3 + 13*c**2 - 5. Let b(l) = -194*l**4 - 142*l**3 + 38*l**2 - 14. Let u(m) = 14*a(m) - 5*b(m). Factor u(j).
4*j**2*(j + 1)*(15*j - 2)
Suppose 7*h - 36 = 6. Suppose 68*x - h = 65*x. What is a in 0*a**3 + 0*a - 2/11*a**4 + 0*a**x - 2/11*a**5 + 0 = 0?
-1, 0
Let s = 1 - -4. Let o(g) = g**3 + 13*g**2 + 12*g. Let r(b) = 3*b**3 + 33*b**2 + 30*b. Let v(i) = s*r(i) - 12*o(i). Suppose v(m) = 0. Calculate m.
-2, -1, 0
Let y be (2/4)/((6 + 0)/6). Factor 1/4*l**2 + 1/4 - y*l.
(l - 1)**2/4
Let a(j) be the third derivative of -j**7/112 + 7*j**6/320 + 3*j**5/160 - 7*j**4/64 + j**3/8 - 2*j**2 + 30. Let a(i) = 0. What is i?
-1, 2/5, 1
Let s(g) be the first derivative of -1/6*g**3 - 1/4*g**4 - 14 + 0*g**2 - 1/10*g**5 + 0*g. Factor s(k).
-k**2*(k + 1)**2/2
Solve -1022/5*d**3 - 112/5*d + 8/5 + 588/5*d**4 + 538/5*d**2 = 0.
1/6, 2/7, 1
Solve 42/5*s - 8 - 2/5*s**2 = 0 for s.
1, 20
Suppose -3*v - 45 = -94 + 43. Find j, given that -80/9*j**v - 8/3*j + 14/9*j**3 + 0 = 0.
-2/7, 0, 6
Let f(n) be the second derivative of 3*n**6/10 - 3*n**5/2 - 2*n**4 - 4*n + 5. Let f(s) = 0. Calculate s.
-2/3, 0, 4
Find a such that a**2 - 3*a**2 + 5*a**2 - 2*a**2 - 4*a**3 - 5*a**2 + 64*a + 64 = 0.
-4, -1, 4
Let a be (-30)/(-14) - 6/42. Suppose -c - 64 = -5*c. Factor a*x**3 - 1 - 3 - 10*x**2 + c*x - 4.
2*(x - 2)**2*(x - 1)
Factor 2*m - 13 + 27 - 2*m**2 + 5*m**2 + 21*m.
(m + 7)*(3*m + 2)
Let t(x) = -x**2 + x - 2. Let m(d) be the second derivative of 5*d**4/2 + 25*d**3/6 - 5*d**2/2 + 39*d. Let k(s) = -m(s) - 25*t(s). Factor k(g).
-5*(g - 1)*(g + 11)
Suppose 0 = -5*u - 3*g + 825, 5*g + 6 = -19. Factor -4 + 4 + 173*y**3 - 5*y**4 - u*y**3.
-5*y**3*(y - 1)
Let m(i) be the first derivative of i**5/50 + 7*i**4/40 - 4*i**3/15 + 463. Factor m(s).
s**2*(s - 1)*(s + 8)/10
Let f(a) = -a**5 - a**4 + 5*a**3 + 5*a**2 - a - 7. Let y(q) = 4*q**3 + 4*q**2 - 8. Suppose -10*k = -11*k + 4. Let u(j) = k*f(j) - 3*y(j). Factor u(m).
-4*(m - 1)**2*(m + 1)**3
Let q(i) = i**2 - 27*i + 116. Suppose -10*n = 59 - 159. Let u(l) = l + 1. Let k(m) = n*u(m) + 2*q(m). Let k(p) = 0. Calculate p.
11
Suppose 0 = 17*j - 59 - 9. Let g(n) be the second derivative of 1/2*n**3 + 0*n**2 + 4*n + 0 - 1/4*n**j. Solve g(v) = 0.
0, 1
Let b be 24 + -20 + 29/(-8). Let p(n) be the first derivative of -6*n - 15/16*n**4 - 15/2*n**3 - 21/2*n**2 - 4 + 6/5*n**5 + b*n**6. Find r, given that p(r) = 0.
-2, -1, -2/3, 2
Let l(q) be the first derivative of q**6/30 - 2*q**5/15 - 5*q**2/2 + 8. Let b(w) be the second derivative of l(w). Solve b(m) = 0 for m.
0, 2
Let k(p) be the first derivative of -p**6/2 + 3*p**4 - 2*p**3 - 9*p**2/2 + 6*p + 243. Factor k(t).
-3*(t - 1)**3*(t + 1)*(t + 2)
Factor 33/5*k + 2 - 7/5*k**2.
-(k - 5)*(7*k + 2)/5
Let t(q) be the second derivative of 2/15*q**5 + 0*q**2 + 0 + 1/126*q**7 - 1/18*q**6 - 1/9*q**4 + 0*q**3 + 10*q. Suppose t(d) = 0. Calculate d.
0, 1, 2
Suppose 5*q = 55*a - 54*a + 11, 5*q - 27 = -3*a. Suppose -4/15 - 6/5*x**2 - 2/15*x**a - 14/15*x - 2/3*x**3 = 0. What is x?
-2, -1
Suppose -u = 25*v - 29*v - 1, -5*u = -5*v - 5. What is t in 4/5*t**4 - 32/5*t + v*t**3 - 12/5 - 24/5*t**2 = 0?
-1, 3
Let b(a) = a**3 + 8*a**2 + 7*a + 20. Let k be b(-8). Let p = k - -39. Determine v so that 0 - 1/2*v + 5/6*v**2 - 1/6*v**p - 1/6*v**4 = 0.
-3, 0, 1
Let h(u) = u**4 - u**3 + u**2 + u + 1. Let i(m) = -3*m**4 + 7*m**3 - 5*m**2 - 11*m - 2. Let n(j) = -6*h(j) - 3*i(j). Factor n(t).
3*t*(t - 3)**2*(t + 1)
Let h(n) be the third derivative of 0*n**3 - 1/45*n**5 + 0*n**4 + 0*n - 3*n**2 + 0 - 4/315*n**7 - 1/504*n**8 - 1/36*n**6. Factor h(p).
-2*p**2*(p + 1)**2*(p + 2)/3
Let c(v) = 5*v**2 - 52*v + 59. Let a(d) = 24*d**2 - 264*d + 296. Let k(b) = 3*a(b) - 14*c(b). Factor k(s).
2*(s - 31)*(s - 1)
Let z(v) = 11*v**2 - 173*v - 6. Let y(p) = -32*p**2 + 516*p + 17. Let r(k) = 6*y(k) + 17*z(k). Find q, given that r(q) = 0.
0, 31
Let s(i) = -i**2 + 11*i + 2. Let x be s(11). Let t = -2231 + 2233. Factor -3 - 1/3*o**x - t*o.
-(o + 3)**2/3
Let i be 13*(-16 - 19874/(-1235)). Factor -2/5*s**2 - 4/5 + i*s.
-2*(s - 2)*(s - 1)/5
Suppose 5*u - 16 = 24. Factor u*q**5 + 6*q**5 - 15*q**5.
-q**5
Let d(v) = v**2 + 2*v + 1. Let b(f) = -5*f**3 + 75*f**2 + 170*f + 10. Let g(q) = b(q) - 10*d(q). Solve g(t) = 0 for t.
-2, 0, 15
Let p be 16*(18/(-48) + (-46)/(-16)). Let w be ((-6)/45)/((52/p)/(-13)). Factor w*r**2 + 0 + 2/3*r + 2/3*r**3.
2*r*(r + 1)**2/3
Let t(p) be the third derivative of 7/12*p**5 + 5/12*p**4 + 0*p + 7*p**2 + 1/6*p**6 - 5/6*p**3 + 0. Factor t(r).
5*(r + 1)**2*(4*r - 1)
Let p(a) be the first derivative of -a**4/18 - 44*a**3/27 - 25*a**2/3 - 12*a - 203. Find u such that p(u) = 0.
-18, -3, -1
Let m(r) = -2*r**3 + 19*r**2 - 2*r + 19. Let d(u) = 5*u**3 - 57*u**2 + 5*u - 57. Let s(y) = 3*d(y) + 8*m(y). Let q be s(-19). Factor 1/4*l**2 - 1/4*l + q.
l*(l - 1)/4
Let k(r) be the first derivative of -r**7/280 - 13*r**3/3 + 1. Let u(o) be the third derivative of k(o). Factor u(n).
-3*n**3
Determine d, given that -88/9*d**3 + 128/3*d + 26/9*d**4 - 32/9*d**2 - 32 - 2/9*d**5 = 0.
-2, 1, 2, 6
What is v in 5 + 2 + 5*v**2 + 91*v + v**3 - 104*v = 0?
-7, 1
Let j(z) be the first derivative of z**7/70 - z**5/20 - 13*z**2/2 + 9. Let h(p) be the second derivative of j(p). Find l such that h(l) = 0.
-1, 0, 1
Let r(x) = 2*x**2 - 2*x + 2. Let o be r(1). Suppose 15 = -o*g + 7*g. Factor -3*i - 24*i**3 + 5*i**4 + 21*i**g + 2*i - 4*i**4 + 3*i**2.
i*(i - 1)**3
Let c(a) be the second derivative of -a**5/150 + 11*a**4/18 + 113*a**3/45 + 19*a**2/5 - 537*a. Factor c(f).
-2*(f - 57)*(f + 1)**2/15
Let u = -79089 - -551739/7. Let m = u - -270. Determine n, given that -m*n**3 + 6/7*n + 0*n**2 + 3/7*n**4 - 3/7 = 0.
-1, 1
Factor 39 - 77/2*l - 1/2*l**2.
-(l - 1)*(l + 78)/2
Factor -50*a**4 + 24*a**3 + 86*a**3 + 441*a**3 - 5*a**5 + 44*a**3.
-5*a**3*(a - 7)*(a + 17)
Let n be -2 + 493/(-72) + 6/27. Let y = n + 377/40. Determine b so that -2/5 - y*b**2 + b + 1/5*b**3 = 0.
1, 2
Factor 0*n**4 + 3*n**4 - 192*n + 144*n**2 + 4*n**3 - 16*n**3 - 24*n**3.
3*n*(n - 4)**3
Let u(l) be the first derivative of -2*l**3/15 - 48*l**2/5 - 94*l/5 + 124. Solve u(h) = 0.
-47, -1
Suppose 3*s = 5*x + 5 + 14, -5*s = 3*x - 9. Let t be (-132)/(-140) + (x/(-10) - 0). Solve -16/7*z**2 + 8/7 + t*z**4 - 4/7*z + 8/7*z**3 - 4/7*z**5 = 0.
-1, 1, 2
Let r(s) be the third derivative of 2*s**7/315 - 11*s**6/90 + s**5/5 + 11*s**4/18 - 20*s**3/9 - 21*s**2. What is v in r(v) = 0?
-1, 1, 10
Let r(i) = 2*i**3 + i**2. Let c(b) = -7*b**3 - 30*b**2 - 19*b + 9. Let q(u) = c(u) + 5*r(u). Factor q(s).
(s - 9)*(s + 1)*(3*s - 1)
Let u = -21 - -29. Let n(g) = -72*g**3 - 220*g**2 - 172*g - 24. Let v(c) = -24*c**3 - 73*c**2 - 57*c - 8. Let s(d) = u*v(d) - 3*n(d). Factor s(k).
4*(k + 1)*(k + 2)*(6*k + 1)
Let a(f) = 8*f**2 - 9*f**2 + 11*f**2 + 6 + 16*f. Let z(x) = 0 + 14*x**2 - 9*x**2 - 14*x**2 - 15*x - 6. Let b(t) = 6*a(t) + 7*z(t). Factor b(l).
-3*(l + 1)*(l + 2)
Let o be (-3)/12 + (-26)/(-8). Factor 8*l**3 + 0*l**4 + 12*l + 8*l + 5*l**4 + 17*l**o + 40*l**2.
5*l*(l + 1)*(l + 2)**2
Let c = 444 - 441. Suppose 1/4*n + 0 + 1/2*n**2 + 1/4*n**c = 0. Calculate n.
-1, 0
Let z(p) be the second derivative of 0 + 19*p + 15/14*p**7 + 71/2*p**5 + 55/3*p**4 - 145/2*p**3 + 45*p**2 + 11*p**6. Find d, given that z(d) = 0.
-3, -2, 1/3
Suppose -39 = -54273*i + 54260*i. Find d, given that -25/4 + 25/4*d**2 - 5/4*d**i + 5/4*d = 0.
-1, 1, 5
Let f = -35392 + 35396. Let 2/19*a**5 - 10/19*a**3 + 2/19*a**2 + 8/19 + 16/19*a - 2/19*a**f = 0. What is a?
-1, 2
Suppose 8*g - 7*g - 3 = 0. Suppose 0*z + z = 10. Factor -8*n**4 - z*n - 7 + 4 + 11*n**4 + 4*n + 6*n**g.
3*(n - 1)*(n + 1)**3
Let q(r) be the third derivative of r**6/960 - r**5/240 - r**4/48 + r**3/6 + 4*r**2. Solve q(z) = 0 for z.
-2, 2
Let t(u) be the first derivative of -u**6/6 + 25*u**4/12 - 10*u**2 + 9*u - 29. Let r(d) be the first derivative of t(d). Let r(v) = 0. What is v?
-2, -1, 1, 2
Suppose 0 = 5*t + 3*a - 144, -5*a + 42 = 6*t - 5*t. What is v in 14*v**2 - t*v**2 + 9*v**2 - 256 + 64*v = 0?
8
Let w be (408/(-70))/(-4) + 203/1421. Factor 0 - 2/5*i**2 - w*i.
-2*i*(i + 4)/5
Factor -17*k - 31*k + 3280*k**2 - 3180*k**2 - 16 - 36*k**3.
-4*(k - 2)*(k - 1)*(9*k + 2)
Let n = 1 - -4. Let c(z) = z**5 + z**2.