43*z**2. Factor d(p).
-(p + 1)*(p + 11)**2
Let j(x) be the third derivative of -x**5/540 - 13*x**4/216 + 24*x**2. Factor j(i).
-i*(i + 13)/9
Let y = -32 + 22. Let w(v) = v**2 + 12*v + 22. Let h be w(y). Determine j, given that -134/3*j**3 - 238/3*j**4 - 98/3*j**5 + 46/3*j**h - 8/3 + 32/3*j = 0.
-1, 2/7
Let x(c) be the third derivative of 0*c**3 + 1/60*c**5 + 0*c - 1/8*c**4 - 10*c**2 + 0. Find b such that x(b) = 0.
0, 3
Suppose 4*z + 20 = -5*o, -3*o - 4 - 21 = 5*z. Determine i, given that o + 3/4*i**3 - 3/2*i**2 + 0*i = 0.
0, 2
Let -3/4*r**3 + 147/4*r + 0*r**2 + 0 = 0. Calculate r.
-7, 0, 7
Let r(g) = 15*g**3 - 762*g**2 - 1048*g - 355. Let l(i) = -16*i**3 + 764*i**2 + 1048*i + 354. Let u(b) = 3*l(b) + 2*r(b). Factor u(p).
-2*(p - 44)*(3*p + 2)**2
Let x(v) = -v**2 - 6*v + 7. Let a(u) be the third derivative of -3*u**5/20 - 2*u**4 + 19*u**3/2 + 28*u**2. Let j(f) = -4*a(f) + 33*x(f). Solve j(n) = 0 for n.
1
Let w(l) be the second derivative of -l**5/170 + 5*l**4/51 - 32*l**3/51 + 32*l**2/17 + l + 36. Let w(f) = 0. What is f?
2, 4
Factor 2/5*o**5 + o**4 + 0 + 2/5*o**3 + 0*o**2 + 0*o.
o**3*(o + 2)*(2*o + 1)/5
Suppose 6*f = 4*f + 4*y + 8, 5*f - 5*y = 20. Let k(z) be the third derivative of -1/54*z**f + 1/54*z**5 + 7/540*z**6 + 0*z + 0 + z**2 + 0*z**3. Factor k(r).
2*r*(r + 1)*(7*r - 2)/9
Suppose -2*p + 13*p = 22. Let c(f) be the first derivative of p + 1/12*f**4 - 1/9*f**3 + 0*f - 1/3*f**2. Suppose c(i) = 0. Calculate i.
-1, 0, 2
Suppose -4*k + 43 = h + 15, 4*k - 4*h = 48. Suppose 4 = x - 4*b, k = -0*x + 2*x - 4*b. Factor -2*g**2 - 3 + 7 + 2*g**x - 4.
2*g**2*(g - 1)*(g + 1)
Find q, given that 44/5*q**3 + 92/5*q**2 - 16/5*q**5 - 4*q**4 + 52/5*q + 8/5 = 0.
-1, -1/4, 2
Factor -9*i**2 + 24*i**3 - 45*i**2 + 2*i**2 - 4*i**4 - 16 + 0*i**4 + 48*i.
-4*(i - 2)**2*(i - 1)**2
Suppose 3*d - 3 = -3*c, 5*c + 0*d = -2*d + 8. Factor 5*i**3 + 245 + 71*i + 32*i**c + 244*i + 43*i**2.
5*(i + 1)*(i + 7)**2
Let x(d) be the third derivative of -d**8/84 - 88*d**7/105 + d**6/30 + 44*d**5/15 - 393*d**2. Let x(q) = 0. What is q?
-44, -1, 0, 1
Let x be 4/(-8)*2*(1 + -5). Let q(u) = -79*u**2 - 99*u - 37. Let o(c) = 80*c**2 + 100*c + 36. Let w(k) = x*q(k) + 5*o(k). What is d in w(d) = 0?
-2/3, -4/7
Solve 17/4*s - 3 - 5/4*s**2 = 0 for s.
1, 12/5
Let q(j) = -j**3 - 5*j**2 + 135*j + 786. Let h be q(-6). Suppose 11*z**3 - 4*z**4 + 9/2*z + 0 - h*z**2 + 1/2*z**5 = 0. What is z?
0, 1, 3
Let y(i) = -i**3 + 4*i**2 - i + 6. Let k be y(4). Factor -n + 2*n - 15 + 7*n**k - 6*n + 5*n**3 + 8*n**2.
5*(n - 1)*(n + 1)*(n + 3)
Let h(o) = -o**2 + 202*o - 9417. Let m be h(73). Let m + 1/2*d**2 - 2*d = 0. Calculate d.
0, 4
Let f(j) = -j + 38. Let w be f(-4). Suppose 5*k - 19*k + w = 0. Find o such that 0 - 41/9*o**4 + 28/9*o**5 + 2/9*o + 0*o**k + 11/9*o**2 = 0.
-2/7, -1/4, 0, 1
Let i(n) be the first derivative of 45/2*n**2 - 10*n + 7 - 8*n**5 - 45/2*n**4 + 5/3*n**3. Determine f, given that i(f) = 0.
-2, -1, 1/4, 1/2
Let l(s) be the second derivative of s**4/8 + 4*s**3 + s - 6. Suppose l(k) = 0. Calculate k.
-16, 0
Let t(u) be the first derivative of 0*u**2 + 0*u - 3/8*u**4 + 17 - 1/2*u**3. Solve t(x) = 0 for x.
-1, 0
Let u = 712/2005 + 18/401. Suppose -1/5 + u*f - 1/5*f**2 = 0. Calculate f.
1
Let m(u) be the second derivative of u**5/10 + 7*u**4/6 - 8*u**3/3 + 4*u. Find p such that m(p) = 0.
-8, 0, 1
Factor 405*i + 109*i**2 + 15*i**2 + 5*i**4 + 85*i**3 + 91*i**2 + 270 + 10*i**2 - 30*i**3.
5*(i + 2)*(i + 3)**3
Let x be 1 + 0 + 1 + 60/(-90). What is j in -2/3*j**2 + 2/3*j + x = 0?
-1, 2
Find a, given that -8*a**2 + 196*a - 10858*a**3 - 20*a**2 + 220 + 10854*a**3 = 0.
-11, -1, 5
Let b(x) be the second derivative of -x**6/288 - x**5/24 - 5*x**4/24 + 2*x**3 - 10*x. Let f(s) be the second derivative of b(s). Find u such that f(u) = 0.
-2
Let z(v) be the first derivative of -2*v**5/35 + 4*v**4/7 - 2*v**3/3 - 48. Factor z(b).
-2*b**2*(b - 7)*(b - 1)/7
Let w(b) = -2*b**3 + 5*b**2 - 11*b - 51. Let s(g) = 3*g**3 - 10*g**2 + 21*g + 101. Let n(r) = 3*s(r) + 5*w(r). Let n(m) = 0. What is m?
-4, 3
Let v(h) be the second derivative of -h**4/18 + 2*h**3/3 - 3*h**2 - 46*h + 2. Determine t so that v(t) = 0.
3
Suppose -70/13*b - 28/13*b**2 + 96/13 + 2/13*b**3 = 0. What is b?
-3, 1, 16
Let v be 1/(-4) + (-17)/(-4). Let l(f) = 2*f**2 + 10*f - 4. Let o be l(v). Suppose -65*d**2 + o*d**2 + 2*d**3 + 0*d**3 - d**4 = 0. What is d?
-1, 0, 3
Let o be (1 - 2)/((-24)/(-48)). Let n be -4 - ((1 - o) + (-11 - -1)). What is h in 0 + 2/5*h**n + 2/5*h - 4/5*h**2 = 0?
0, 1
Solve 6*z**4 - 72*z**2 + 78*z + 24 + 3/2*z**3 = 0 for z.
-4, -1/4, 2
Solve 2*w**4 - 2/3*w**3 - 10/3*w**2 + 4/3 + 2/3*w = 0.
-1, -2/3, 1
Solve 8/17 + 30/17*x - 22/17*x**4 - 30/17*x**3 + 14/17*x**2 = 0 for x.
-1, -4/11, 1
Let h = -4 - -7. What is z in 45*z + 48*z**2 + 7*z**4 + 24*z**3 - h*z**4 - 13*z = 0?
-2, 0
Let f = -21 + 24. Suppose -2*p + 31 = 2*p + 3*q, -2*p - 2*q = -18. Suppose -u**4 - 2*u**p + 0*u**3 + 3*u**2 - 3*u + f*u**3 = 0. Calculate u.
-1, 0, 1
Factor -m**5 - 107*m**4 - 19*m**3 + 33*m**4 + 37*m**4 + 17*m**4.
-m**3*(m + 1)*(m + 19)
Let p be ((-4 - -4)/6)/6. Let i(o) be the third derivative of 1/12*o**4 + 1/30*o**5 - 2/3*o**3 + 0 + p*o - 8*o**2. Factor i(b).
2*(b - 1)*(b + 2)
Let a(d) be the second derivative of 0 - 18*d - 1/132*d**4 + 4/11*d**2 + 7/66*d**3. Determine b, given that a(b) = 0.
-1, 8
Let a(j) = -3*j + 5*j**2 + j**3 - j**2 + j**3. Let x be a(1). Factor 2/3*f**x + 0*f + 0 + 1/3*f**4 + 1/3*f**2.
f**2*(f + 1)**2/3
Let k(l) be the third derivative of l**5/12 + 5*l**4/6 - 25*l**3/6 + 4*l**2. Suppose k(t) = 0. Calculate t.
-5, 1
Let d = -31 - -31. Find n such that -4*n + n + 4*n**2 - n**3 + d*n**2 = 0.
0, 1, 3
Let l(g) be the first derivative of g**5/25 + 3*g**4/2 + 88*g**3/5 + 121*g**2/5 - 3993*g/5 - 103. Factor l(a).
(a - 3)*(a + 11)**3/5
Let q(y) be the third derivative of y**7/1050 - y**6/150 + y**5/100 + y**4/30 - 2*y**3/15 - 14*y**2 - 7*y. Find k, given that q(k) = 0.
-1, 1, 2
Let x(p) = -2*p**3 + 9*p**2 - 6*p + 10. Let t = -59 - -63. Let m be x(t). Let -6/5*i**3 - 1/5*i**4 - m*i - 12/5*i**2 - 3/5 = 0. What is i?
-3, -1
Let m(x) be the third derivative of -x**6/240 + 7*x**5/240 - x**4/24 + 11*x**3/3 + 16*x**2. Let h(p) be the first derivative of m(p). Factor h(w).
-(w - 2)*(3*w - 1)/2
Factor -122/9*w**4 + 10/3*w**5 + 188/9*w**3 - 44/3*w**2 - 2/9 + 38/9*w.
2*(w - 1)**4*(15*w - 1)/9
Let u(l) be the third derivative of -7*l**2 + 0*l**3 - 1/80*l**6 + 1/8*l**4 + 1/40*l**5 + 0 + 0*l. Let u(m) = 0. What is m?
-1, 0, 2
Let g(c) be the second derivative of 0*c**4 + 1/11*c**2 - 2/33*c**3 + 1/55*c**5 - 10*c - 1/165*c**6 + 0. Find x, given that g(x) = 0.
-1, 1
Let w = 3231 + -32309/10. Factor 1/5*j**2 - 1/10*j**4 + 0 - w*j**3 + 0*j.
-j**2*(j - 1)*(j + 2)/10
Suppose 0 = 4*q - 3*a + 4 - 14, -q - 4*a + 12 = 0. Factor 1/6*y**2 + 1/6*y**q + 0 - 1/3*y**3 + 0*y.
y**2*(y - 1)**2/6
Let j(q) be the third derivative of -q**7/5040 + 3*q**5/80 + 7*q**4/24 + 3*q**2. Let a(m) be the second derivative of j(m). Factor a(c).
-(c - 3)*(c + 3)/2
Let v(u) be the third derivative of u**7/1260 + u**6/540 + 8*u**3/3 - 15*u**2. Let z(b) be the first derivative of v(b). Let z(y) = 0. What is y?
-1, 0
Let p be ((-4)/30 - 0) + (-14840)/(-113550). Let z = 763/2271 + p. Let 0 - 1/3*x - 2/3*x**2 - z*x**3 = 0. What is x?
-1, 0
Let 1/5*r**3 + 16/5*r**2 + 36/5 + 51/5*r = 0. What is r?
-12, -3, -1
What is t in 80 - 3*t**2 - 192*t + 144*t + 7*t**2 = 0?
2, 10
Suppose -324/7 + 88/7*y**3 - 32/7*y**4 - 90/7*y + 356/7*y**2 + 2/7*y**5 = 0. What is y?
-2, -1, 1, 9
Let m = -5 - 4. Let x be (4/(-3))/(6/m). Factor 11 + 3 - 2 + 21*n - 9*n + 3*n**x.
3*(n + 2)**2
Let k(s) be the third derivative of -s**6/1080 + s**5/90 - s**4/18 - 5*s**3/6 - 18*s**2. Let c(o) be the first derivative of k(o). Factor c(m).
-(m - 2)**2/3
Let j be (6 - (-13 - -8)) + -8. Let m(t) be the third derivative of 1/12*t**4 + 0 - 1/12*t**j - 6*t**2 + 0*t - 1/30*t**5. Determine o so that m(o) = 0.
1/2
Let k be ((-437)/(-1425))/((-14)/(-35)) - 2/20. Factor 1 - 1/3*o**2 - k*o.
-(o - 1)*(o + 3)/3
Let t(g) be the third derivative of -g**7/1512 - 19*g**4/24 - g**2. Let o(m) be the second derivative of t(m). Determine p so that o(p) = 0.
0
Let h = 295 - 291. Suppose 0 = 50*i - 48*i - h. Suppose 2/5*p**4 + 0*p**i + 2/5*p**5 + 0*p**3 + 0*p +