third derivative of q**6/120 - q**5/30 - 5*q**4/8 - 32*q**2. Find s such that t(s) = 0.
-3, 0, 5
Factor -10*y**2 + 6*y**2 + y**3 + 11*y - 2 - 6*y.
(y - 2)*(y - 1)**2
Factor 6/7*a + 2/7*a**3 + 0 + 8/7*a**2.
2*a*(a + 1)*(a + 3)/7
Let w(f) be the third derivative of -1/18*f**4 + 13/30*f**5 - 1/18*f**7 - 31/360*f**6 + 0 - 52*f**2 - 4/9*f**3 + 0*f. Suppose w(v) = 0. Calculate v.
-2, -2/7, 2/5, 1
Let f = 7137/2 + -3567. What is c in 1/2*c**3 + 0 - f*c + c**2 = 0?
-3, 0, 1
Let v(f) = 8*f**3 + 14*f**2 + 7*f + 1. Let q(w) = 9*w**3 + 14*w**2 + 7*w + 2. Let z(s) = -3*q(s) + 4*v(s). Suppose z(k) = 0. What is k?
-2, -1, 1/5
Let l(k) = -12*k**2 - 53*k + 233. Let r(o) = -2*o**2 - 9*o + 39. Let y(b) = -6*l(b) + 34*r(b). Factor y(g).
4*(g - 3)*(g + 6)
Let d(o) be the second derivative of -o**7/840 - o**6/60 - 3*o**5/40 - 7*o**3/3 + 20*o. Let u(s) be the second derivative of d(s). Factor u(m).
-m*(m + 3)**2
Let g(a) be the first derivative of -18/5*a**5 + 54*a + 15 - 27*a**2 - 12*a**3 + 13*a**4 + 1/3*a**6. What is x in g(x) = 0?
-1, 1, 3
Let m(z) be the first derivative of z**4/14 - 10*z**3/21 + 6*z**2/7 - 132. Factor m(l).
2*l*(l - 3)*(l - 2)/7
Suppose -1/2*h**2 + 15*h + 0 = 0. What is h?
0, 30
Let o(u) be the third derivative of -u**5/180 - 5*u**4/36 + 219*u**2. What is c in o(c) = 0?
-10, 0
Let j(f) = -2*f + 1. Let b be j(-1). Let v be (-6)/(-3) - b/(-1). Find i such that 0*i**2 + 8*i**2 - 2*i**v + 2*i**3 + 2*i**4 - 10*i**2 = 0.
-1, 0, 1
Let d(g) be the first derivative of g**5/20 - 17*g**4/16 + 15*g**3/4 - 43*g**2/8 + 7*g/2 + 410. Factor d(j).
(j - 14)*(j - 1)**3/4
Let q(w) be the second derivative of w**8/168 + w**7/105 - w**6/60 - w**5/30 + 10*w**2 + 12*w. Let t(n) be the first derivative of q(n). Factor t(g).
2*g**2*(g - 1)*(g + 1)**2
Factor 110*f**3 - 27*f**3 - 29*f**3 - 34*f**3 + 210*f**2 - 205*f - 25*f**3.
-5*f*(f - 41)*(f - 1)
Let b be 8/(-84) - (-428)/84. Solve 6 - 16/3*l**2 + b*l + l**3 = 0.
-2/3, 3
Factor -62/3*d - 61/3 - 1/3*d**2.
-(d + 1)*(d + 61)/3
Let m(b) be the third derivative of -1/100*b**6 + 0*b + 1/20*b**4 + 22*b**2 + 0 - 1/100*b**5 + 1/350*b**7 + 0*b**3. Find p, given that m(p) = 0.
-1, 0, 1, 2
Let n be (-12)/(-27)*3*30. Factor 28 + 0*h**2 + 55 - 3 + n*h + 5*h**2.
5*(h + 4)**2
Let h(a) be the third derivative of -a**7/7560 - a**6/540 - a**4/3 + 21*a**2. Let o(i) be the second derivative of h(i). Factor o(y).
-y*(y + 4)/3
Let g = -1/52 - -23/520. Let l(r) be the third derivative of 0*r**3 + 0*r**4 + g*r**5 + 0 + 0*r - 2*r**2. Suppose l(n) = 0. Calculate n.
0
Let p be (-2144)/(-2345) - 2/(-7). Let -p - 8/5*u**2 + 1/5*u**3 + 13/5*u = 0. Calculate u.
1, 6
Suppose -3*s - 5*f + 329 = 0, 4*f + 320 = 7*s - 4*s. Factor 2/9*y**4 + 1458 - 648*y + s*y**2 - 8*y**3.
2*(y - 9)**4/9
Factor 1 - 30*x**2 - 4*x**2 + x**4 + 32*x**2.
(x - 1)**2*(x + 1)**2
Let z = 311 - 305. Let k(p) be the second derivative of -3/20*p**5 - 4*p**3 + 0 + 6*p**2 + 5/4*p**4 + z*p. Factor k(d).
-3*(d - 2)**2*(d - 1)
Suppose 3*j - 11 = 4. Let c(i) = -i**2 + 7*i - 8. Let m be c(j). Factor 6*h**4 - h**5 - 7*h**4 + h**m + 0*h**4 + h**3.
-h**2*(h - 1)*(h + 1)**2
Let i = 277/1100 - 1/550. Let m(u) be the second derivative of u**3 - i*u**4 + 9/2*u**2 + 2*u + 0. Factor m(o).
-3*(o - 3)*(o + 1)
Solve 16/11*u - 2/11*u**2 + 6 = 0 for u.
-3, 11
Suppose -6 = -3*h - 0, -4*h + 20 = 4*q. Let x be 76/68 + (q - 4). Factor 0*m + x*m**2 + 0 - 2/17*m**3.
-2*m**2*(m - 1)/17
Let a be ((-438)/(-72) - 5) + -1. Let i(n) be the third derivative of 1/120*n**6 + 1/60*n**5 + 0*n + 5*n**2 + 0 - a*n**4 + 0*n**3. Suppose i(m) = 0. What is m?
-2, 0, 1
Let c(v) be the first derivative of -2/3*v - 1/6*v**4 + 5/9*v**3 - 16 - 1/6*v**2. Solve c(a) = 0 for a.
-1/2, 1, 2
Let v(x) = x**3 + 5*x**2 + 3*x - 1. Let t be v(-4). Let s be t/(-24) - 1572/(-288). Suppose 0 + 2*w**5 + 8/3*w - 8*w**2 + s*w**4 - 2*w**3 = 0. Calculate w.
-2, 0, 1/3, 1
Factor 3*a**2 - 5 + 17 + 18*a**3 - 6*a**2 + 3*a**3 - 84*a.
3*(a - 2)*(a + 2)*(7*a - 1)
Let t(a) be the third derivative of -a**5/270 - 5*a**4/36 - 60*a**2. Solve t(w) = 0.
-15, 0
Let t(c) = -2*c**2 - 7*c - 5. Let f be 7/((-2)/2 - -2). Let m(k) = k**2 + 3*k + 2. Let h(w) = f*m(w) + 3*t(w). Determine d so that h(d) = 0.
-1, 1
Let v(l) be the third derivative of -l**8/3360 - l**7/420 + l**5/15 + 7*l**4/24 - 3*l**2. Let o(q) be the second derivative of v(q). Let o(r) = 0. Calculate r.
-2, 1
What is p in 2/3*p**3 + 0*p + 2/3*p**2 + 0 = 0?
-1, 0
Let a(p) be the third derivative of -p**6/30 - 7*p**5/30 - p**4/6 + p**3 - 62*p**2. Factor a(v).
-2*(v + 1)*(v + 3)*(2*v - 1)
Let g(a) be the first derivative of 0*a + 7 - 2/21*a**3 + 2/7*a**2. Factor g(b).
-2*b*(b - 2)/7
Let k(d) be the first derivative of 0*d**2 + 2 + 1/15*d**4 - 1/50*d**5 - 1/15*d**3 + 3*d. Let x(a) be the first derivative of k(a). Factor x(b).
-2*b*(b - 1)**2/5
Suppose -3*i + 1 = -149. Solve p**4 + 10 - 6*p**5 - 19*p**5 + 2*p**4 + 7*p**4 + i*p**3 - 25*p - 20*p**2 = 0.
-1, 2/5, 1
Let r(s) be the third derivative of -s**5/210 + 5*s**4/84 - 70*s**2 - 2. Suppose r(c) = 0. Calculate c.
0, 5
Suppose -7524*t + 5*t**3 - 15*t**2 + 7524*t = 0. Calculate t.
0, 3
Let l = 6956/99 - 768/11. Factor -2/9*f - f**2 - l*f**3 + 0.
-f*(f + 2)*(4*f + 1)/9
Let f(w) be the third derivative of -w**7/105 + 11*w**6/75 - 37*w**5/50 + 14*w**4/15 + 16*w**3/15 - 3*w**2 + 28. Solve f(z) = 0 for z.
-1/5, 1, 4
Let j = 144157/5 + -28811. Solve 18/5*h**4 - j*h**3 - 36/5 + 78/5*h + 122/5*h**2 = 0.
-2/3, 1/3, 3
Let b(l) be the second derivative of 1/2*l**6 + l - 10/3*l**4 + 0 - 10/3*l**3 - 1/4*l**5 + 0*l**2. Factor b(v).
5*v*(v - 2)*(v + 1)*(3*v + 2)
Let d be ((6 - -5)/(-55))/((-5)/10). Factor 6/5*h + 18/5 + d*h**3 - 2*h**2.
2*(h - 3)**2*(h + 1)/5
Let u = -35905/6 - -5985. Suppose -5*h - 25/6 - u*h**2 = 0. What is h?
-5, -1
Factor -321*l**4 - 375*l**2 + 550*l**2 - 32*l**3 + 609*l**2 + 322*l**4 - 24*l**3.
l**2*(l - 28)**2
Let s(d) be the first derivative of -1/2*d**4 - 11/4*d**2 + d + 13/6*d**3 + 28. Let s(f) = 0. Calculate f.
1/4, 1, 2
Let y = 1354/35 + -192/5. Let j = 245 - 1711/7. What is v in -2/7*v - y*v**2 + j = 0?
-2, 1
Suppose -7*v**2 + 35/2*v - 11 + 1/2*v**3 = 0. Calculate v.
1, 2, 11
Let c(f) be the second derivative of -1/3*f**4 + 0 - 1/5*f**5 + 0*f**2 - 15*f + 0*f**3. Factor c(l).
-4*l**2*(l + 1)
Let n(o) = -3*o**2 - 12*o + 3. Let w(u) be the second derivative of 0 - 23/6*u**3 - 1/2*u**4 + 7/2*u**2 - 2*u. Let c(z) = 11*n(z) - 6*w(z). Factor c(r).
3*(r - 1)*(r + 3)
Let w(d) be the second derivative of 0 + 2/39*d**3 + 0*d**2 - 7/78*d**4 + 1/273*d**7 + 9/130*d**5 - 1/39*d**6 + d. Factor w(b).
2*b*(b - 2)*(b - 1)**3/13
Let k(s) be the third derivative of 0*s - 1/21*s**3 + 1/210*s**5 + 0 + 1/21*s**4 - 1/105*s**6 - 13*s**2. Factor k(t).
-2*(t - 1)*(t + 1)*(4*t - 1)/7
Let p(c) = 3*c**2 - 31*c - 148. Let m(j) = j**2 - 2*j - 1. Let r(a) = -2*m(a) - p(a). Find g, given that r(g) = 0.
-3, 10
Let k = -4044 - -4046. Factor 112/9*j - 50*j**3 - 110/3*j**k - 8/9.
-2*(j + 1)*(15*j - 2)**2/9
Let o = -196 + 199. Suppose 0*a = -o*g - a + 11, 5*g = -a + 15. What is j in -2/3*j**g - 2*j - 3/2 = 0?
-3/2
Let l = 12 + -48. Let z(a) = -8*a**4 - a**3 - 10*a**2 + 10*a - 9. Let w(u) = -u**4 - u**2 + u - 1. Let r(g) = l*w(g) + 4*z(g). Factor r(o).
4*o*(o - 1)**2*(o + 1)
Let y = -10722 + 10724. Let z = 853/728 + -3/104. Find u such that z + 12/7*u + 4/7*u**y = 0.
-2, -1
Let f = 75 - 73. Determine j, given that 16*j + 33*j**5 + 24*j**4 - 29*j**5 + 48*j**3 + 40*j**f - 4*j = 0.
-3, -1, 0
Let d(n) be the second derivative of 10*n**2 + 100/3*n**3 + 10*n + 0 + 565/12*n**4 - 135/14*n**7 + 41/4*n**5 - 39/2*n**6. Solve d(j) = 0 for j.
-1, -2/9, 1
Let w(b) be the first derivative of b**3/3 - 18*b**2 - 37*b - 347. Factor w(t).
(t - 37)*(t + 1)
Let i(f) be the third derivative of f**6/90 + 5*f**3 - 27*f**2. Let q(k) be the first derivative of i(k). Factor q(x).
4*x**2
Let o(l) be the third derivative of -2*l**7/105 + l**6/15 + 8*l**5/5 - 25*l**4/3 + 50*l**3/3 + 547*l**2. Factor o(u).
-4*(u - 5)*(u - 1)**2*(u + 5)
Determine i, given that 4/9*i**3 - 1108/9*i + 556/9 + 548/9*i**2 = 0.
-139, 1
Let 1/2*y**4 + 0 + 0*y - 5*y**2 + 3/2*y**3 = 0. Calculate y.
-5, 0, 2
Solve -1/3*a**5 + 4/3*a**3 + 0 + 0*a - 4*a**2 + a**4 = 0 for a.
-2, 0, 2, 3
Factor 80*a + 6*a**2 + 20480 - 32*a - 3*a**2 + 592*a + 2*a**2.