rivative of -8*x**5/15 + 59*x**4/2 - 44*x**3/3 - 386*x**2. Factor i(t).
-4*(t - 22)*(8*t - 1)
Suppose -j**2 + 383*j - 356*j - 150 + 7*j**2 + 53*j = 0. Calculate j.
-15, 5/3
Let b(x) be the first derivative of x**4/20 - x**3/3 + 2*x**2/5 + 1443. Factor b(h).
h*(h - 4)*(h - 1)/5
Let q(v) = -v**2 - 5*v + 79. Let b be q(5). Suppose 0 = -d - 32*s + b*s + 2, 0 = -4*s. Solve -52/7*y + 36/7*y**5 + 96/7*y**4 + 16/7*y**3 - 8/7 - 88/7*y**d = 0.
-2, -1, -1/3, 1
Suppose 5*l = -3*q + 9105, 0 = l + 3*q - 7*q - 1844. Let -2 - 8*u - 1822*u**4 + 8*u**3 - 1 + 6*u**2 + l*u**4 - 5 = 0. What is u?
-2, -1, 1
Let p(b) be the third derivative of -b**5/240 + 5*b**4/2 - 600*b**3 + 12*b**2 - 3. Factor p(q).
-(q - 120)**2/4
Let t(a) be the first derivative of -a**4/26 - 328*a**3/39 + 165*a**2/13 - 12540. Suppose t(i) = 0. What is i?
-165, 0, 1
Let x = -1 - -3. Suppose h - 4 = -x. Factor -3*o**h + 5*o**2 + o + o.
2*o*(o + 1)
Let o = -766 + 784. Let w be (-2)/o + 67/603. Factor 0*n + w + 1/2*n**2.
n**2/2
Let y(r) = 3*r**3 + 72*r**2 - 352. Let c(j) = -10*j**3 - 211*j**2 + j + 1052. Let z(v) = -12*c(v) - 39*y(v). Factor z(b).
3*(b - 92)*(b - 2)*(b + 2)
Factor -4500*z**2 + 1346*z**2 + 8*z**4 + 2342*z**2 - 308*z**3 - 328*z.
4*z*(z - 41)*(z + 2)*(2*z + 1)
Let p(a) be the second derivative of -91*a - 22/15*a**4 - 46/15*a**3 + 0 + 0*a**2 + 1/25*a**5. Let p(m) = 0. Calculate m.
-1, 0, 23
Let s(a) = 3*a**2 + 217*a + 3432. Let h be s(-49). Solve -16/11*u**3 + 10/11*u**4 - 4/11*u**h - 6/11 + 16/11*u = 0.
-1, 3/5, 1
Let w(g) be the first derivative of -2*g**3/51 - 12*g**2/17 - 2636. Let w(z) = 0. What is z?
-12, 0
Suppose 17*u + 35 + 33 = 0. Let g(n) = 3*n**2 - 14*n - 2. Let s(p) = -2*p**2 + 12*p + 2. Let b(i) = u*g(i) - 5*s(i). Let b(h) = 0. What is h?
-1
Let h(x) be the third derivative of 0 + 2/175*x**7 + 7/40*x**6 - 7/10*x**3 + 0*x - 116*x**2 + 13/40*x**4 + 51/100*x**5. Let h(m) = 0. What is m?
-7, -1, 1/4
Factor -2/3*d**2 - 28*d - 82/3.
-2*(d + 1)*(d + 41)/3
Let g(r) = r**5 + 3*r**4 + 16*r**3 + 18*r**2 + 7*r + 6. Let u(o) = o**5 + 4*o**4 + 15*o**3 + 16*o**2 + 6*o + 4. Let d(y) = 2*g(y) - 3*u(y). Factor d(c).
-c*(c + 1)**2*(c + 2)**2
Find u such that -8*u**3 + 586*u**2 - 150*u**2 - 19316*u + 19100*u = 0.
0, 1/2, 54
Let s = -2 - -4. Suppose 4*c = q + 277 - 272, 0 = 2*c + 5*q - 41. Suppose 0*a**s - 36 + 4*a**c - 4*a**2 + 2*a**2 + 6*a**2 - 36*a = 0. Calculate a.
-3, -1, 3
Factor -4402*w**2 + w**3 + 1473*w**2 - 256*w + 1379*w**2 + 1470*w**2 - 5*w**3.
-4*w*(w + 4)*(w + 16)
Let k(u) = -14 + 13 + 22*u**2 - 20*u**2 - u. Suppose -3*v + 5*w + 1 = 0, 5*v + 5*w = 2*v - 19. Let l(f) = -f**4 + f. Let q(n) = v*k(n) - 3*l(n). Factor q(j).
3*(j - 1)**2*(j + 1)**2
Determine g, given that -10/3*g**3 + 23/6*g + 5/3 - 5*g**2 - 1/2*g**5 + 10/3*g**4 = 0.
-1, -1/3, 1, 2, 5
Let k = -4931 + 39451/8. Let q(y) be the first derivative of 3/8*y**2 + k*y + 19 + 1/8*y**3. Determine r so that q(r) = 0.
-1
Find h such that -47*h - 11 - 6*h**2 - 3*h**3 + 56*h + 39*h**2 + 95 + 111*h = 0.
-2, -1, 14
Let j(o) be the third derivative of o**5/12 - 95*o**4/6 + 805*o**3/2 - 3207*o**2. Factor j(f).
5*(f - 69)*(f - 7)
Let i(j) be the first derivative of 7/2*j**2 - 6*j + 1/16*j**4 - 61 - 5/6*j**3. Factor i(n).
(n - 6)*(n - 2)**2/4
Let g be 2/(-4) - 562/(-20) - 3312/(-8280). Let u(a) be the first derivative of 32/3*a**3 - g*a**4 - 10/3*a**6 + 88/5*a**5 + 2 + 0*a + 0*a**2. Factor u(r).
-4*r**2*(r - 2)**2*(5*r - 2)
Let x = 49/68 - 8/17. Suppose 3013*v = n + 3008*v - 52, -28 = -4*n + 2*v. Factor 1 + 9/4*a + 3/2*a**n + x*a**3.
(a + 1)**2*(a + 4)/4
Let v(s) be the first derivative of -s**5/20 - s**4/8 + 2*s**3/3 + 9*s**2/4 + 9*s/4 + 14811. Factor v(n).
-(n - 3)*(n + 1)**2*(n + 3)/4
Factor -5183/9*s + 143/9*s**2 - 1/9*s**3 + 5041/9.
-(s - 71)**2*(s - 1)/9
Let t(z) be the second derivative of -z**4/32 - 31*z**3/8 - 531*z**2/16 + 7*z + 93. Suppose t(i) = 0. Calculate i.
-59, -3
Let h = 31434 + -31432. Determine q, given that 0 + 20/9*q + 52/9*q**3 - 86/9*q**h + 14/9*q**4 = 0.
-5, 0, 2/7, 1
Let a(p) be the first derivative of -5*p**4/4 - 60*p**3 - 1425*p**2/2 + 3610*p + 135. Factor a(r).
-5*(r - 2)*(r + 19)**2
Let d(q) = 6*q**2 + 3*q + 2. Suppose 5*s = -4*s + 4*s. Let z be d(s). Determine m so that 0 + 2/3*m**z - 4/3*m**3 - 2/3*m**4 + 8/15*m**5 + 4/5*m = 0.
-1, -3/4, 0, 1, 2
Suppose -174*t + 177*t - 24 = -2*x, -5*t - 17 = -3*x. Determine b so that 1/3*b**3 - 1/3 + 1/3*b**t - 1/3*b = 0.
-1, 1
Let b = 3835/27041 + 4/3863. Let x(o) be the first derivative of -8/35*o**5 + 3/7*o**4 + 0*o - 8/21*o**3 + 1/21*o**6 + 11 + b*o**2. Find d such that x(d) = 0.
0, 1
Let o(n) = 10*n**3 + 6*n**2 + 8*n. Let s = 48 - 52. Let q(h) = 12*h**3 + 5*h**2 + 8*h. Let j(g) = s*q(g) + 5*o(g). Determine x so that j(x) = 0.
-4, -1, 0
Suppose -37*m + 15 = -32*m. Factor -m + x**3 - 1369*x - 4 + 1362*x + 1.
(x - 3)*(x + 1)*(x + 2)
Let b(m) be the second derivative of 15*m + 9*m**3 + 36*m**2 + 1/2*m**4 - 1/45*m**6 + 4 - 1/6*m**5. Factor b(f).
-2*(f - 4)*(f + 3)**3/3
Let n be -5*(-2)/15*(-39 + 6930/176). Suppose -n*s**2 + s**3 - 3/2*s - 1/4*s**4 + 0 = 0. Calculate s.
-1, 0, 2, 3
Let l(a) be the third derivative of a**7/315 + 31*a**6/90 + 121*a**5/90 + 5*a**4/3 - 2207*a**2 + 1. Let l(y) = 0. Calculate y.
-60, -1, 0
Let i be ((-486)/30 - -18)/((-33)/(-55)). Solve -3 + 9/2*x**i - 9/2*x + 3*x**2 = 0 for x.
-1, -2/3, 1
Suppose -2*x - p + 263 = -83, 0 = 3*x + 4*p - 529. Factor x + 143*m + 31*m - 218155*m**2 + 218158*m**2.
3*(m + 1)*(m + 57)
Let x(u) be the second derivative of -u**5/40 + 5*u**4/24 + 2*u**3/3 - 12*u**2 + 3031*u. Solve x(c) = 0 for c.
-3, 4
Let z(l) be the first derivative of 85*l**4/4 + 1030*l**3/3 + 60*l**2 - 6573. Find y, given that z(y) = 0.
-12, -2/17, 0
Suppose 2*s - 70 - 52 = 0. Suppose -s*x**4 - 2*x**5 + 57*x**4 - 3*x**5 + 2*x**3 + 7*x**5 = 0. What is x?
0, 1
Determine p, given that -304*p**2 + 15259*p**5 - 420*p - 15263*p**5 - 418 + 418 + 136*p**3 + 16*p**4 = 0.
-5, -1, 0, 3, 7
Let n(v) = 3*v**3 + 181*v**2 + 2860*v + 7056. Let i(d) = -d**2 - d. Let y(k) = 4*i(k) + n(k). Suppose y(p) = 0. What is p?
-28, -3
Let n be (-2709)/12*-1 - 3/(-12). Factor 42*o + 5*o**3 + 32*o + n*o + 360 + 70*o**2.
5*(o + 2)*(o + 6)**2
Let y(k) = 44*k + 7*k**4 - 84*k - 7*k**2 - 62*k + 102*k**3. Let u(c) = c**4 + 17*c**3 - c**2 - 17*c. Let z(d) = 39*u(d) - 6*y(d). Factor z(n).
-3*n*(n - 17)*(n - 1)*(n + 1)
Let u(d) = -d**3 - 3*d**2 - d - 12. Let m(j) = -8*j**3 - 388*j**2 + 6132*j + 73584. Let q(k) = m(k) - 12*u(k). Suppose q(r) = 0. What is r?
-8, 48
Suppose 3*o = 17 + 19. Let r(c) = c**2 + 26*c - 13*c + 1 - o*c. Let x(l) = l**3 - 5*l**2 - 5*l - 3. Let t(g) = -4*r(g) - x(g). Factor t(z).
-(z - 1)**2*(z + 1)
Let q(d) be the first derivative of d**6/9 + 14*d**5/15 - d**4/6 - 14*d**3/9 - 1777. Determine l, given that q(l) = 0.
-7, -1, 0, 1
Let s = 164 - 160. Determine l so that 17*l**2 - 121*l**3 - 23*l**4 + 9564*l - 19*l**s - 9558*l = 0.
-3, -1/6, 0, 2/7
Let w(m) be the second derivative of -2*m + 1/6*m**2 - 1/6*m**3 - 1/6*m**4 + 2/15*m**5 - 4. Factor w(h).
(h - 1)*(2*h + 1)*(4*h - 1)/3
Let s(c) be the first derivative of -25/9*c**3 - 44/3*c - 34/3*c**2 + 207 - 1/12*c**4. Factor s(v).
-(v + 1)*(v + 2)*(v + 22)/3
Let j be (-2 - (-10)/7)/((-8)/28). Solve u**3 - 3*u**2 + 68 + 63*u**j + 3*u**3 + 57*u - 189*u = 0 for u.
-17, 1
Let f be 108 + -5 + (-1 - 2). Suppose -3*w + f = 2*w. Factor -10*d + w*d**4 + 7*d**3 - 5 + 3*d**3 - 15*d**4.
5*(d - 1)*(d + 1)**3
Factor -1/3*w**2 - 8 + 25/3*w.
-(w - 24)*(w - 1)/3
Let p be 133/114 + (-10)/(-12). Let 13718/3 + 2/3*o**3 + 722*o + 38*o**p = 0. Calculate o.
-19
Suppose 50*d + 33417 = 33617. Let -5*l**3 - 25*l - 5/4*l**d + 35/4 + 45/2*l**2 = 0. Calculate l.
-7, 1
Let f(h) = h - 10. Let k be f(10). Suppose 3*b - 9 = -k*b. Factor 8 - 9 + 1 + b*y**2 + 6*y.
3*y*(y + 2)
Factor 39/10*v + 1/10*v**3 - 27/5 + 7/5*v**2.
(v - 1)*(v + 6)*(v + 9)/10
Let j = -131981/2850 - -880/19. Let z(x) be the second derivative of 0*x**3 - j*x**6 + 0 - 3/100*x**5 + 0*x**2 + 1/15*x**4 + 36*x. Factor z(p).
-p**2*(p - 1)*(p + 4)/5
Suppose -135*d = -274*d + 133*d. Let j(u) be the second derivative of -1/3*u**4 + 0 + d*u**3 - 3*u + 7/10*u**5 + 0*u**2. Determine y, given that j(y) = 0.
0, 2/7
Let q(z) be the second derivative of 2*z**7/35 - 7*z**6/30 - 7*z**5/15 + z**4/2 + 8*z*