7222*t**2 + 4*t**3 - 8605*t**2 = 0.
-6, 1
Let f(i) be the third derivative of -i**8/168 + 2*i**7/105 + i**6/10 - 2*i**5/3 + 19*i**4/12 - 2*i**3 + 3*i**2 + 7. Factor f(r).
-2*(r - 2)*(r - 1)**3*(r + 3)
Let d(m) = m**3 - 4*m**2 + 4. Let b be d(6). Let t be 2/(-3) - b/(-6). Factor t*v - 4 - 6*v**2 + 3*v + 2*v**2 - 7*v.
-4*(v - 1)**2
Let o(f) be the first derivative of f**4 - 4*f**3 - 90*f**2 - 324*f + 102. Factor o(i).
4*(i - 9)*(i + 3)**2
Let x(p) = p**2. Let w(n) = n**2 + 4*n. Let r(q) = -2*q**2 - 9*q. Let v(j) = 4*r(j) + 9*w(j). Let h(s) = 7*v(s) - 6*x(s). Determine y so that h(y) = 0.
0
Let o(w) = 5*w**3 + 10*w**2 - 11*w - 4. Let a(p) = -10*p**3 - 21*p**2 + 23*p + 8. Let i = -74 + 81. Let m(f) = i*o(f) + 3*a(f). Factor m(j).
(j - 1)*(j + 2)*(5*j + 2)
Let o(l) be the first derivative of l**4/20 + 4*l**3/5 + 24*l**2/5 + 64*l/5 - 80. Find s, given that o(s) = 0.
-4
Let r(w) be the second derivative of 19*w**4/54 - 32*w**3/27 - 4*w**2/3 - 84*w. Determine b, given that r(b) = 0.
-6/19, 2
Let p(w) = w**2 + 6*w + 5. Let d be p(-5). Find c such that -4*c**5 + 6*c**5 + d*c**3 + 0*c**3 + c**2 - 3*c**4 = 0.
-1/2, 0, 1
Let j(z) be the third derivative of -1/50*z**5 + 1/300*z**6 - 1/60*z**4 + 1/5*z**3 + 0 + 0*z + 33*z**2. Factor j(r).
2*(r - 3)*(r - 1)*(r + 1)/5
Factor -397*a**3 - 390*a**3 + 831*a**3 + 4*a**4 - 64*a**2 - 1280*a.
4*a*(a - 5)*(a + 8)**2
Let c(b) be the third derivative of b**6/90 + b**5/30 - b**4 - 5*b**3/3 + 44*b**2. Let d(w) be the first derivative of c(w). Solve d(m) = 0 for m.
-3, 2
Suppose -4*s + 4*i = -s - 6, 0 = 2*s + 4*i - 4. Suppose 8 = 4*z - s*h, 5*h - h + 16 = -4*z. Find g such that -4/3*g**4 + z + 4/3*g**2 + 4/3*g**3 - 4/3*g = 0.
-1, 0, 1
Suppose 246*p**4 - 243*p**4 - 4*p**5 - 2*p**3 - 5*p**5 + 8*p**3 = 0. Calculate p.
-2/3, 0, 1
Factor 8*z**3 + 3*z**4 + 646*z**2 - z**4 - 638*z**2.
2*z**2*(z + 2)**2
Let p be 17/(-17)*3/(-12). Let m(w) be the first derivative of -1/6*w**2 + 4 + 0*w - p*w**4 + 4/9*w**3. Let m(f) = 0. Calculate f.
0, 1/3, 1
Factor -8*x + 3*x**2 - 197*x + 200 - x**2 + 3*x**2.
5*(x - 40)*(x - 1)
Let s(y) = 10*y**3 - 5*y. Let g(v) = -10*v**3 - 3*v**2 + 6*v + 1. Let u(a) = -5*g(a) - 6*s(a). Suppose u(i) = 0. What is i?
-1/2, 1
Let u = 73336/3 - 24444. Determine c so that u*c - 2/9*c**2 - 2 = 0.
3
Let z(w) = -w**4 + w**3 + w**2 + w + 1. Let q(k) = 9*k**4 - 13*k**3 - 5*k**2 - k - 11. Let o = -27 - -29. Let g(b) = o*q(b) + 14*z(b). What is r in g(r) = 0?
-1, 1, 2
Let l(u) be the third derivative of 1/300*u**5 + 0 - 21*u**2 + 0*u**4 - 1/600*u**6 + 0*u**3 + 0*u. Factor l(b).
-b**2*(b - 1)/5
Let i(k) be the first derivative of k**6/36 - k**5/15 + k**3/9 - k**2/12 + 9. Factor i(y).
y*(y - 1)**3*(y + 1)/6
Let h(z) be the first derivative of z**7/840 - z**6/270 + z**5/360 + 16*z**3/3 - 1. Let j(l) be the third derivative of h(l). Factor j(y).
y*(y - 1)*(3*y - 1)/3
Suppose 8*i**4 - 2 + 5*i**2 - 2 - 9*i**4 = 0. Calculate i.
-2, -1, 1, 2
Let m(p) be the third derivative of 0 - 1/30*p**5 - 13*p**2 + 0*p**3 + 1/120*p**6 - 1/8*p**4 + 2*p. Let m(n) = 0. Calculate n.
-1, 0, 3
Let y(d) = d + 9. Let k = -10 + 4. Let c be y(k). Let -l**c - l**3 + l**2 + 2*l + l**2 - 2 = 0. What is l?
-1, 1
Factor -2/5*a**2 + 12*a - 90.
-2*(a - 15)**2/5
Let q = 173/2 + -343/4. Determine k so that 63/4*k**3 - q*k**2 - 27/4*k**4 - 27/4*k - 3/2 = 0.
-1/3, 1, 2
Factor -48/7*u + 0 - 2/7*u**2.
-2*u*(u + 24)/7
Suppose 68 = -6*s + 40*s. Solve p + 1/2 + 1/8*p**3 + 5/8*p**s = 0.
-2, -1
Let p(u) be the second derivative of -2/3*u**3 - 1/60*u**5 + 0 - u**2 + 1/6*u**4 + 8*u. Let f(r) be the first derivative of p(r). Determine v so that f(v) = 0.
2
Let j(c) be the first derivative of -10/3*c**3 + 0*c + 2*c**5 - 14 + 5/4*c**4 - 5/2*c**2. Determine n, given that j(n) = 0.
-1, -1/2, 0, 1
Let y be ((-738)/24)/(49*-3). Let i = 2/49 + y. Factor -1/4*j + i*j**3 + 1/4 - 1/4*j**2.
(j - 1)**2*(j + 1)/4
Let z be (-19320)/(-5) - (-9)/(-3). Factor -4001*b**4 + 7*b**3 + z*b**4 + 13*b**3 + 245*b**5.
5*b**3*(7*b - 2)**2
Let o(g) be the first derivative of -g**5/3 - 5*g**4/2 - 40*g**3/9 + 5*g**2 + 15*g - 162. Solve o(v) = 0.
-3, -1, 1
Let l be 2/(-6) - 10/(-12). Let n(t) = 8*t**2 - 11*t - 7. Let w be n(2). Factor 1/2*c**4 + l*c**w + 0 - c**2 + 0*c.
c**2*(c - 1)*(c + 2)/2
Suppose -3*h = 3*c - 16 - 2, 0 = -2*c - h + 7. Let k be (4 - (-69)/(-15)) + c. Factor -2/5*f**3 - 2/5 + 2/5*f + k*f**2.
-2*(f - 1)**2*(f + 1)/5
Let w be 1 + (4 + 74/(-18))*5. Factor 0 - 8/9*g**2 + 0*g + w*g**4 - 4/9*g**3.
4*g**2*(g - 2)*(g + 1)/9
Let y(d) be the third derivative of -d**6/80 + 81*d**5/40 + 41*d**4/8 - 129*d**2. Factor y(j).
-3*j*(j - 82)*(j + 1)/2
Let j(z) be the third derivative of z**8/1344 + z**7/168 - z**6/60 - z**5/20 - 87*z**2. Find r, given that j(r) = 0.
-6, -1, 0, 2
Solve -5*b**2 + 0 - 25/4*b + 5/4*b**3 = 0.
-1, 0, 5
Suppose 5*g = -2*m + 46, g + g - 157 = -5*m. Let c be m/(-154) - (-1)/2. Factor -4/7*k - c*k**2 + 6/7.
-2*(k - 1)*(k + 3)/7
Solve 304/7*b - 11552/7 - 2/7*b**2 = 0 for b.
76
Let p(o) be the third derivative of o**6/480 - 2*o**5/15 + 46*o**2 - 1. Factor p(f).
f**2*(f - 32)/4
Suppose -i = 2*o, -5*i - o + 0 + 18 = 0. Let i*u**3 + 33*u**2 + 432*u - 635 - 32 - 105*u**2 - 197 = 0. Calculate u.
6
Let w(o) be the first derivative of o**4/6 + o**3/3 + 2*o + 20. Let k(t) be the first derivative of w(t). Factor k(n).
2*n*(n + 1)
Suppose -5*j + 19 = g + 39, 4*j = -2*g - 16. Factor g*a + 1/7*a**2 + 0.
a**2/7
Let u(w) = -5*w**3 - 2*w**2 + 7*w - 4. Let p(j) = 6*j**3 + j**2 - 5*j + 3. Let m(l) = -4*p(l) - 5*u(l). Solve m(o) = 0 for o.
-8, 1
Factor 2*v**2 + 1/4*v**4 + 0 + 5/4*v**3 + v.
v*(v + 1)*(v + 2)**2/4
Let r(x) be the first derivative of 0*x + 9/20*x**5 - 1/4*x**6 - 1/2*x**2 - 3 + 0*x**3 - 1/4*x**4. Let k(i) be the second derivative of r(i). Factor k(d).
-3*d*(2*d - 1)*(5*d - 2)
Let r be 4 - ((2 - 2) + 3). Suppose -k + 4 = j, 2*j - 9 + r = 0. Let 0*y**3 + 1/3*y**2 - 1/3*y**4 + 0 + k*y = 0. Calculate y.
-1, 0, 1
Let u(y) be the first derivative of -y**6/57 + y**4/19 - y**2/19 + 34. Solve u(i) = 0 for i.
-1, 0, 1
Let o(q) = -35*q**5 - 64*q**4 + 24*q**3. Let m(l) = 35*l**5 + 65*l**4 - 25*l**3. Let a(p) = 4*m(p) + 5*o(p). Determine r so that a(r) = 0.
-2, 0, 2/7
Let b(k) be the first derivative of 0*k**2 + 2/7*k + 0*k**4 - 8 + 2/35*k**5 - 4/21*k**3. Suppose b(j) = 0. Calculate j.
-1, 1
Let a be ((-18)/72)/(6/(-8)). Let 1/3*k**3 + 0*k - 2/3*k**2 - a*k**5 + 2/3*k**4 + 0 = 0. What is k?
-1, 0, 1, 2
Let t be ((-2)/4)/(2/(-12)). Suppose 7 - 7 + 5*w**4 - 5*w**t - 10*w**2 = 0. What is w?
-1, 0, 2
Let b(x) = -12*x**4 - 16*x**3 - 12*x**2 - 8*x - 8. Let o(h) = -h**4 + h**2 - 1. Let d(p) = b(p) - 8*o(p). Factor d(k).
-4*k*(k + 1)**2*(k + 2)
Suppose -28/3*d**2 - 2/3*d**3 + 2/3*d + 28/3 = 0. What is d?
-14, -1, 1
Let s(o) be the second derivative of o**7/70 - 9*o**6/50 + 81*o**5/100 - 27*o**4/20 + 11*o. Factor s(i).
3*i**2*(i - 3)**3/5
Let v(q) be the second derivative of q**6/105 - 3*q**5/14 + 23*q**4/21 + 32*q**3/7 - 128*q**2/7 - 327*q. Factor v(d).
2*(d - 8)**2*(d - 1)*(d + 2)/7
Let g = 669 + -667. Let t(d) be the second derivative of 1/120*d**6 + 0*d**4 + 3*d - 1/12*d**3 + 1/40*d**5 + 0 - 1/8*d**g. Factor t(r).
(r - 1)*(r + 1)**3/4
Let u(n) be the third derivative of n**8/10080 - n**7/1890 - n**6/360 - 5*n**4/24 + 5*n**2. Let h(b) be the second derivative of u(b). Factor h(l).
2*l*(l - 3)*(l + 1)/3
Let b(t) = t**4 - 2*t**3 - t + 2. Let k(x) = -9*x**4 + 41*x**3 - 65*x**2 - 19*x - 12. Let i(s) = -6*b(s) - k(s). Factor i(u).
u*(u - 5)**2*(3*u + 1)
Find v, given that -99*v**4 + 55*v**4 + 36*v**4 + 4*v**5 = 0.
0, 2
Let f(m) be the second derivative of -m**5/30 + 7*m**4/18 + 10*m**3/3 - 1075*m. Determine a, given that f(a) = 0.
-3, 0, 10
Let z(m) be the second derivative of m**8/16800 - m**4 - 19*m. Let j(k) be the third derivative of z(k). Find l such that j(l) = 0.
0
Suppose 0 = 3*l - 7 + 1, -3*a + 80 = -5*l. Suppose 9*k = 4*k + a. Let k*u**2 - 7*u**2 + 3*u**4 + 3 - 3*u**5 - 5*u**2 + 6*u**3 + 2*u - 5*u = 0. What is u?
-1, 1
Let h be (8/5)/(5/(-200)*-16). Let o(m) be the third derivative of 0*m + 1/160*m**5 - 5*m**2 + 0*m**h - 1/16*m**3 + 0. Let o(j) = 0. Calculate j.
-1, 1
Let s = 91/3 + -29. Let a be (10/70 + 34/(-42))*3/(-6). Solve -a*n**2 - 4/3 - s*n = 0 for n.
-2
Let j(f) be the third derivative of 0 -