ative of 1/7*z**2 - 1/14*z**4 - 2/7*z + 2/21*z**3 + 10. Factor a(r).
-2*(r - 1)**2*(r + 1)/7
Let c be (-22)/33*-1 - 12/18. Let g = 1054/5 + -210. Let 8/5*b**2 + 4/5*b + c + g*b**3 = 0. Calculate b.
-1, 0
Let h(k) be the third derivative of -k**8/336 - 31*k**7/315 - 47*k**6/45 - 40*k**5/9 - 16*k**4/3 - 588*k**2. What is y in h(y) = 0?
-12, -4, -2/3, 0
Suppose -7*h = -4*h - 6. Factor -10*p**2 - 2*p - h*p - 94*p**3 + 89*p**3 - p.
-5*p*(p + 1)**2
Let g(i) be the first derivative of -4/9*i**3 + 0*i + i**2 - 1/9*i**4 - 1/90*i**5 - 4. Let w(n) be the second derivative of g(n). Factor w(z).
-2*(z + 2)**2/3
Suppose -2*a + 4 = -2. Suppose 0 = a*w + o - 5*o + 2, 0 = 3*w - 5*o + 7. Let 7*d + 3*d**4 - 3*d**3 - 6 - 3*d**2 + 2*d + w*d**2 - 6*d**3 = 0. Calculate d.
-1, 1, 2
Let m(g) be the first derivative of -g**4/12 + 5*g**3/9 - g**2 + 63. What is w in m(w) = 0?
0, 2, 3
Let i(t) be the third derivative of t**8/112 + 9*t**7/70 + 13*t**6/20 + 17*t**5/10 + 21*t**4/8 + 5*t**3/2 - 3*t**2 - 1. Let i(x) = 0. Calculate x.
-5, -1
Let r(v) be the first derivative of v**5 - 15*v**4/4 - 15*v**3 - 25*v**2/2 + 77. Find t, given that r(t) = 0.
-1, 0, 5
Let 3/4*f - 1/4*f**2 + 0 = 0. What is f?
0, 3
Suppose -3*o - 4*o = -28. Let q(k) be the third derivative of -1/30*k**5 - 5/48*k**o + 4*k**2 - 1/6*k**3 - 1/240*k**6 + 0*k + 0. Factor q(s).
-(s + 1)**2*(s + 2)/2
Let h(v) = v**3 - 5*v**2 + v - 2. Let p be h(5). Let u be p + (-6)/(24/11). Factor u*n**2 + 1/2 + 3/4*n.
(n + 1)*(n + 2)/4
Let w(u) be the third derivative of u**8/70560 + u**7/17640 + u**5/30 - 11*u**2. Let f(d) be the third derivative of w(d). Factor f(h).
2*h*(h + 1)/7
Let k be (-14)/12 + 22951/11670. Let p be (2 - -2)*3/4. Factor k*u - 8/5*u**p - 14/5*u**2 + 0.
-2*u*(u + 2)*(4*u - 1)/5
Let q = -10307 - -10310. Factor 0*d + 0 - 3/2*d**4 + 0*d**q + 3/2*d**2.
-3*d**2*(d - 1)*(d + 1)/2
Let o(g) be the second derivative of g**7/8820 - g**4/2 + 10*g. Let i(l) be the third derivative of o(l). Factor i(r).
2*r**2/7
Let s(d) be the second derivative of d**4/3 - 2*d**3 - 12*d**2 + 9*d. Let u(p) = -p**2 + 1. Let t(f) = 2*s(f) + 12*u(f). Solve t(m) = 0 for m.
-3
Let t(x) = 8*x**2 - 7*x + 4*x**2 + 1 - 19*x**2 + 11*x**2. Let k be t(2). Suppose 10*s - 5*s**k + 20*s**2 + 10*s**3 - 5*s**2 = 0. What is s?
-2, -1, 0
Factor -1878/11*f**2 - 1056 - 6/11*f**4 - 720*f - 180/11*f**3.
-6*(f + 4)**2*(f + 11)**2/11
Suppose -26 = -2*z - 3*a - 3, -a + 1 = 0. Let f = -7 - -10. Find i, given that z*i**4 - 2*i**4 - 29*i**4 - 6*i**2 - 6*i - 3*i**2 + 36*i**f = 0.
-2/7, 0, 1
Let o(h) = -h**3 + 9*h**2 + 88*h - 10. Let p be o(-6). Factor 0*k + 0 + 0*k**3 + 1/2*k**4 + 0*k**p.
k**4/2
Let p = 20830394/345 - 60378. Let l = p + 10526/3795. Find d, given that -14/11*d**2 - 18/11*d**4 + 0 + l*d**3 + 2/11*d = 0.
0, 1/3, 1
Suppose -5*b = -a - 85, 2*b - 5*a - 7 = -10*a. Solve 63*g - 22*g**2 - 37*g - 12*g**4 - 42*g - 6*g**2 + 40*g**3 + b = 0 for g.
-2/3, 1, 2
Let k(l) be the second derivative of -l**6/165 - 2*l**5/55 - 5*l**4/66 - 2*l**3/33 - 61*l. Suppose k(x) = 0. What is x?
-2, -1, 0
Let t(j) = -j**4 - j**3 + 7*j**2. Let c(k) = -15*k**3 - 54*k**2. Let u(x) = c(x) + 9*t(x). Let u(z) = 0. Calculate z.
-3, 0, 1/3
Let p(a) be the second derivative of a**5/4 - 55*a**4/4 + 605*a**3/2 - 6655*a**2/2 - a + 2. Factor p(o).
5*(o - 11)**3
Let u(a) be the first derivative of 18*a**5/55 - 15*a**4/22 - 16*a**3/33 + 4*a**2/11 - 42. Find k such that u(k) = 0.
-2/3, 0, 1/3, 2
Let d(b) be the third derivative of -b**5/135 - 2*b**4/9 - 40*b**3/27 + 517*b**2. Factor d(l).
-4*(l + 2)*(l + 10)/9
Factor 1/5*j**2 - 2/5 - 1/5*j.
(j - 2)*(j + 1)/5
Let g = -326 - -329. Let l = -9 - -11. Determine u, given that 0 + 0*u + 2/11*u**l - 2/11*u**g = 0.
0, 1
Let j be 12/(-30)*550/(-176). Factor -4 + 10*z + 1/4*z**5 - 25/4*z**2 + 5/4*z**4 - j*z**3.
(z - 1)**3*(z + 4)**2/4
Let 2/13*f**2 - 8/13*f - 8/13 + 2/13*f**3 = 0. What is f?
-2, -1, 2
Let k(v) be the third derivative of 3*v**5/100 + 7*v**4/30 + v**3/10 - 16*v**2 + 4*v. Factor k(n).
(n + 3)*(9*n + 1)/5
Suppose 0 = -8*v + 9*v - 4. Solve -v*s**4 - 59 + 16*s**2 + 61 + 9*s + 15*s**3 - s**3 + 10*s**4 + s**5 = 0 for s.
-2, -1
Let k(u) = 8*u - 12. Let d be k(-4). Let p = d - -47. Find l, given that 1/3*l - 2/3*l**2 + 1/3 + 1/3*l**4 - 2/3*l**p + 1/3*l**5 = 0.
-1, 1
Let g(f) be the third derivative of f**6/60 - 3*f**5/10 + 5*f**4/4 - 7*f**3/3 - 2*f**2 + 76*f. Factor g(u).
2*(u - 7)*(u - 1)**2
Factor -4/3*t**3 + 64/3*t**2 + 0 - 20*t.
-4*t*(t - 15)*(t - 1)/3
Let b(r) be the second derivative of r**6/360 + 11*r**5/360 + r**4/12 - 7*r**3/3 + 11*r. Let y(g) be the second derivative of b(g). Factor y(k).
(k + 3)*(3*k + 2)/3
Let g(v) be the first derivative of -5*v**4/4 + 10*v**3/3 + 195*v**2/2 + 360*v + 10. What is h in g(h) = 0?
-3, 8
Let j(m) = -3*m**2 + 18*m - 35. Let y(h) = -5*h**2 + 26*h - 53. Let r(s) = 8*j(s) - 5*y(s). Factor r(z).
(z - 1)*(z + 15)
Let b be -4 + (11 - 3) + 2/2. Let a**4 + 28*a**b + 103*a**4 + 80*a**3 + 3*a - 3*a - 32*a**2 = 0. What is a?
-2, 0, 2/7
Solve -337*c**2 - c**3 - 5*c - 15*c - 337*c**2 + 683*c**2 = 0 for c.
0, 4, 5
Let x(i) be the first derivative of -1/6*i**2 + 1/9*i**3 + 1/12*i**4 - 1/3*i + 24. Factor x(r).
(r - 1)*(r + 1)**2/3
Let s(n) be the second derivative of -n**9/84 + n**8/28 - n**7/30 + n**6/90 + 3*n**3/2 + 14*n. Let w(z) be the second derivative of s(z). Factor w(c).
-4*c**2*(c - 1)*(3*c - 1)**2
Let v(f) = 6*f**4 + 24*f**3 + 18*f**2 - 34*f - 24. Let p(z) = -2*z**4 - 8*z**3 - 6*z**2 + 11*z + 8. Let s(n) = -10*p(n) - 3*v(n). Factor s(i).
2*(i - 1)*(i + 1)*(i + 2)**2
Let n be 4/(252/317) - 20/10. Let h = n - 17/9. Let -4/7*o**2 + 2/7*o**3 - 2*o - h = 0. What is o?
-1, 4
Let p(u) = -18*u - 33. Let o be p(-2). Factor 3/5*z**o + 1/5*z + 1/5*z**4 + 0 + 3/5*z**2.
z*(z + 1)**3/5
Let v(x) be the second derivative of x**5/20 + 8*x**4/3 + 95*x**3/2 + 225*x**2 + 189*x. Find t, given that v(t) = 0.
-15, -2
Let j be (-936)/(-14508) - 3958/(-155). Factor -482/5*d**2 + 2/5*d**5 - j + 416/5*d + 46*d**3 - 38/5*d**4.
2*(d - 8)**2*(d - 1)**3/5
Let m be (-33)/(-35) - (6/(-20) - (-10)/100). Solve -6*r**2 - 40/7*r - m = 0 for r.
-2/3, -2/7
Let q = 115226/5 + -23044. Find f, given that 17/5*f**3 + 2/5 - 8/5*f**2 - f - q*f**4 = 0.
-1/2, 1/3, 1, 2
Let x be 3 - 140/(-35) - (-52)/(-10). Find p, given that -x*p**2 - 2/5*p - 12/5*p**3 + 0 - 4/5*p**4 = 0.
-2, -1/2, 0
Let j(k) be the second derivative of k**6/6 - 2*k**5 - 15*k**4/4 - 254*k. Factor j(m).
5*m**2*(m - 9)*(m + 1)
Determine p so that 24*p**3 - 47*p - p**4 - 145*p**2 - 169 - 66*p - 95*p + 27*p**2 - 104*p = 0.
-1, 13
Let l(o) be the third derivative of o**5/60 + 21*o**4/8 - 65*o**3/3 - 472*o**2. Factor l(v).
(v - 2)*(v + 65)
Let x(a) be the second derivative of a**5/40 + 3*a**4/16 + a**3/2 - 3*a**2/2 - 13*a. Let o(i) be the first derivative of x(i). Solve o(w) = 0 for w.
-2, -1
Suppose 0 = d - z - 54, 3*z + 218 = 4*d - 0. Let l be (14/d)/((-6)/(-184)). Let -2/3*h + 0 + l*h**3 - 7*h**5 + 1/3*h**2 - 1/3*h**4 = 0. Calculate h.
-1, -1/3, 0, 2/7, 1
Let h(w) = -4*w**2 - 14*w - 55. Let k(o) = 5*o**2 + 16*o + 54. Let u(j) = -6*h(j) - 5*k(j). Factor u(s).
-(s - 10)*(s + 6)
Factor -285/8*a + 9/2*a**2 - 1/8*a**3 - 361/4.
-(a - 19)**2*(a + 2)/8
Factor 2352/5 + 3/5*a**2 - 168/5*a.
3*(a - 28)**2/5
Suppose -315*j**2 - 1364*j - j**4 + 111*j**3 - 11*j**4 + 1676*j - 60 = 0. What is j?
1/4, 2, 5
Suppose -109*w + 24 = -194. Solve -2/9*n - 28/9*n**w + 0 = 0 for n.
-1/14, 0
Let i(n) be the second derivative of n**7/1260 - n**6/30 + 3*n**5/5 - 5*n**4/3 - 6*n. Let u(k) be the third derivative of i(k). Factor u(v).
2*(v - 6)**2
Let i(u) be the first derivative of 4*u**4 + 4*u + 8*u**2 + 4/5*u**5 + 5 + 8*u**3. Factor i(j).
4*(j + 1)**4
Let h be (30/8)/5*((-1232)/(-55))/7. What is w in 4/5*w - 24/5*w**2 + 33/5*w**3 - 1/5*w**4 - h*w**5 + 0 = 0?
-2, 0, 1/4, 2/3, 1
Let c = 64129/4 + -15942. Let o = 91 - c. Determine i so that o*i**4 + 3/4*i**2 + 3/2*i**3 + 0*i + 0 = 0.
-1, 0
Suppose 5*a = 3*a + 8. Solve -10*g**3 - 215*g**4 + 5*g + 225*g**4 - 20*g**2 + g**5 + 10 + a*g**5 = 0.
-2, -1, 1
Let c(a) be the third derivative of -5*a**6/24 - 23*a**5/12 + 25*a**4/12 + 6*a**2 - 1. Factor c(v).
-5*v*(v + 5)*(5*v - 2)
Let f(g) be the first derivative of 6*g + 3/8*g**4 - 5 + 5/2*g**3 + 6*g**2. Solve f(k) = 0.
-2, -1
Let y(t