 be m(-46). Factor 1/3*j**5 + 0*j**a - 1/3*j - 2/3*j**z + 0 + 2/3*j**2.
j*(j - 1)**3*(j + 1)/3
Let f(z) = z + 24. Let j be f(-24). Let l(p) be the second derivative of -27*p**2 - p + 9*p**3 - 3/2*p**4 + 1/10*p**5 + j. Let l(w) = 0. What is w?
3
Let z(h) = 2*h**2 + h + 2. Let y(t) = 3*t**2 + 2*t + 3. Let j = -32 + 28. Let x(k) = j*z(k) + 3*y(k). Factor x(b).
(b + 1)**2
Let a be (13/(-78))/((-498)/(-8) + -2). Let x = 958/2169 - a. Factor 0*c - 2/9*c**4 - 2/9*c**3 + 0 + x*c**2.
-2*c**2*(c - 1)*(c + 2)/9
Let q = -2021 - -2021. Factor -1/4*m**4 + 0*m**2 + 0*m + q + 1/4*m**3.
-m**3*(m - 1)/4
Suppose -5*k = m - 39, k + 68 - 15 = 3*m. Let v = -19 + m. Factor -1/2*h**2 + 0 - 1/2*h**4 + v*h + h**3.
-h**2*(h - 1)**2/2
Let v(k) be the first derivative of 2/5*k**5 - 1/4*k**4 + 0*k + 0*k**3 + 0*k**2 + 1 - 1/6*k**6. Factor v(x).
-x**3*(x - 1)**2
Determine m so that -33*m**2 + 4*m**4 + 400*m - 27*m**2 - 126*m**3 + 102*m**3 = 0.
-4, 0, 5
Let b(w) = -11*w**4 + 28*w**3 + w**2 - 10*w - 4. Let t(j) = j**4 + j**3 + j**2 - j - 1. Let k(m) = b(m) - 4*t(m). Let k(g) = 0. Calculate g.
-2/5, 0, 1
Suppose -4*o - 253 = -265. Let x(d) be the first derivative of -2/3*d**o - 1/2*d**4 - 6*d + 5*d**2 + 6. Factor x(z).
-2*(z - 1)**2*(z + 3)
Let v be ((-330)/(-275) - 21/15)/(2/(-28)). Factor -2*h**3 + 18/5*h**2 + 2/5*h**4 - v*h + 4/5.
2*(h - 2)*(h - 1)**3/5
Suppose 3*u = -x + 5*x - 42, 2*u - 52 = -4*x. Factor -4 + 3*l - l + 6*l**2 - x*l.
2*(l - 2)*(3*l + 1)
Determine m so that -25/9*m - 1/3*m**2 + 2 = 0.
-9, 2/3
Let p be (2/16)/(465/1488). Let s(l) be the first derivative of 5 + p*l**3 + 0*l - 3/20*l**4 + 0*l**2. Suppose s(x) = 0. What is x?
0, 2
Let p(s) = s**3 + 5*s**2 + 9. Let l be p(-5). Let z be ((-1)/12)/(l/(-18)). Factor z*h**3 + 0 + 1/3*h + 1/2*h**2.
h*(h + 1)*(h + 2)/6
Let g(o) be the first derivative of -32*o**2 - 13*o + 8 + 7/3*o**4 - 16/3*o**3 - 1/5*o**5. Let y(v) be the first derivative of g(v). Factor y(b).
-4*(b - 4)**2*(b + 1)
Suppose 10 = -4*g - 5*l, -2*g + g + 3*l = -6. Suppose g = 4*r - 4*o - 28, -r + 3*r + 21 = -5*o. Determine v so that -2/13*v**3 - 4/13*v + 0 + 6/13*v**r = 0.
0, 1, 2
Factor 2/7*z**2 + 20/7 + 22/7*z.
2*(z + 1)*(z + 10)/7
Let q(u) = -u - 85. Let d be q(-85). Let d + 0*l + 2*l**4 - 2*l**3 + 2/3*l**2 - 2/3*l**5 = 0. Calculate l.
0, 1
Let i = 1714 - 1712. Factor 0 + 0*p**3 - 4/11*p**4 + 4/11*p**i + 2/11*p - 2/11*p**5.
-2*p*(p - 1)*(p + 1)**3/11
Suppose -14*u + u = 0. Let k(g) be the third derivative of 0*g**5 + 0*g**3 + 1/240*g**6 + u - 10*g**2 + 0*g - 1/672*g**8 + 0*g**7 + 0*g**4. Factor k(s).
-s**3*(s - 1)*(s + 1)/2
Let m(h) be the first derivative of -h**3/12 - 29*h**2/8 - 7*h + 67. Suppose m(p) = 0. Calculate p.
-28, -1
Let h(f) be the third derivative of -f**7/70 - 3*f**6/4 - 193*f**5/20 + 60*f**4 - 128*f**3 - 27*f**2 + 1. Suppose h(w) = 0. What is w?
-16, 1
Let t(p) be the third derivative of 0*p**4 + 1/2184*p**8 + 43*p**2 + 0*p**5 + 5/156*p**6 + 0*p**3 + 0*p - 2/273*p**7 + 0. Determine v, given that t(v) = 0.
0, 5
Let o(n) be the second derivative of 4*n**7/21 + 9*n**6/5 + 7*n**5 + 29*n**4/2 + 52*n**3/3 + 12*n**2 - 411*n. Suppose o(w) = 0. What is w?
-2, -1, -3/4
Let p(s) be the third derivative of -1/96*s**4 - 1/12*s**3 + 1/80*s**5 + 0*s + 0 - 3*s**2. Solve p(c) = 0.
-2/3, 1
Let y(w) be the second derivative of -3/10*w**5 - 21*w + 1/21*w**7 + 0 - 1/6*w**4 + 1/15*w**6 + 2/3*w**3 + 0*w**2. Let y(d) = 0. What is d?
-2, -1, 0, 1
Let w(r) = r**2 - 2*r + 1. Let m(n) = -16*n**2 + 50*n - 18. Let g(f) = 2*m(f) + 36*w(f). What is j in g(j) = 0?
-7, 0
Let c(h) be the first derivative of h**7/1260 + h**6/54 + 17*h**5/180 + 2*h**4/9 + 7*h**3 + 6. Let n(q) be the third derivative of c(q). Factor n(k).
2*(k + 1)**2*(k + 8)/3
Suppose 0 = -2*l - 17 + 25. Let m(b) be the second derivative of -1/10*b**3 + 0 + 5*b + 1/20*b**l + 0*b**2. Factor m(a).
3*a*(a - 1)/5
Let n be (-1*1 + 398/1393)/((-10)/12). Factor -4/7*j - 2/7*j**2 + n.
-2*(j - 1)*(j + 3)/7
Let y(c) = 5*c**2 + 9*c - 26. Let w(x) = 5*x**2 + 10*x - 25. Let r = -87 + 92. Let m(g) = r*y(g) - 4*w(g). What is v in m(v) = 0?
-3, 2
Find y, given that 33/5*y**3 + 54/5 - 192/5*y**2 + 261/5*y = 0.
-2/11, 3
Let p(z) = z**3 + 10*z**2 - 11*z. Let t be p(-11). Solve 47*r**2 - 12*r - 11*r**2 + 18*r**4 - 3*r**5 + t*r - 39*r**3 = 0 for r.
0, 1, 2
Let n(m) = -3*m**3 - 20*m**2 - 17*m + 11. Let v(p) = -p**3 - 7*p**2 - 6*p + 4. Let g(h) = -4*n(h) + 11*v(h). Find z, given that g(z) = 0.
-2, -1, 0
Let r(f) be the second derivative of -1/10*f**5 - 2/5*f**2 - 8*f + 0 - 7/15*f**3 - 3/10*f**4 - 1/75*f**6. What is t in r(t) = 0?
-2, -1
Let f(p) be the third derivative of p**7/11340 - p**6/810 + p**5/135 - p**4/6 - 5*p**2. Let r(v) be the second derivative of f(v). Suppose r(j) = 0. What is j?
2
Let i(x) = 5*x**5 - 10*x**4 - 41*x**3 + 94*x**2 + 4. Let d(k) = -5*k**5 + 10*k**4 + 40*k**3 - 95*k**2 - 5. Let c(f) = 4*d(f) + 5*i(f). Factor c(q).
5*q**2*(q - 3)*(q - 2)*(q + 3)
Let x = -128117/5 + 25627. Solve -x*a + 0 - 2/5*a**3 + 12/5*a**2 = 0 for a.
0, 3
Let v = 19040/3 - 95146/15. Factor -2/15*p**3 + 18/5 + 6/5*p**2 - v*p.
-2*(p - 3)**3/15
Let t(b) be the first derivative of -2*b**7/105 + b**6/15 - b**5/15 - 4*b**2 + 3. Let f(m) be the second derivative of t(m). Let f(r) = 0. What is r?
0, 1
Let u = 20 + -17. Let r(m) be the second derivative of 0 + 0*m**4 + 0*m**2 - 1/10*m**5 + 4*m + 1/3*m**u. Find z, given that r(z) = 0.
-1, 0, 1
Let m(b) be the third derivative of -b**7/490 - b**6/280 + b**5/28 - 3*b**4/56 - 37*b**2. Determine q so that m(q) = 0.
-3, 0, 1
Suppose -n + 6*n + 25 = 0. Let d be ((-4)/(-16))/(n*5/(-50)). Factor -d*w - 1/2 + 1/2*w**3 + 1/2*w**2.
(w - 1)*(w + 1)**2/2
Let q(u) be the second derivative of u**7/4 - 23*u**6/20 - 3*u**5/40 + 23*u**4/8 - 3*u**3/2 - u + 18. Solve q(x) = 0.
-1, 0, 2/7, 1, 3
Suppose -40*k - 105 - 11*k**2 + 4*k - 14*k**2 + 28*k**2 - 6*k**2 = 0. What is k?
-7, -5
Suppose -48*s + 4*s**4 + 3*s**2 - 25*s - 19*s**2 - 24*s**3 + 224*s - 55*s = 0. What is s?
-2, 0, 2, 6
Let q(c) = -13*c + 224. Let a be q(17). Suppose 1/4 - 1/4*z**a + 1/4*z - 1/4*z**2 = 0. Calculate z.
-1, 1
Let t be (-8 + 2)/((-25)/10 + 4). Let b be (0 - 8/14)/(t/14). Find m, given that 4/7*m**3 + 4/7*m**5 + 12/7*m**b - 12/7*m**4 - 8/7*m + 0 = 0.
-1, 0, 1, 2
Let b = -8 + 11. Suppose -b*l = z - 16, 6*l - 36 = 2*l - 5*z. Factor j**5 + 2*j**3 + 2*j**2 - 5*j**3 + l*j**4 + 8*j**3.
j**2*(j + 1)**2*(j + 2)
Let u(q) be the third derivative of -q**8/1680 + 5*q**4/12 - 3*q**2. Let t(m) be the second derivative of u(m). Factor t(a).
-4*a**3
Let h(y) = -6*y**2 + 54*y + 2. Let a(m) = m**2 + 3*m - 1. Let c(w) = 2*a(w) + h(w). Determine z, given that c(z) = 0.
0, 15
Let w(t) be the first derivative of t**9/2520 + t**8/1800 - t**7/3150 - 12*t**3 + 38. Let k(l) be the third derivative of w(l). Factor k(c).
2*c**3*(c + 1)*(9*c - 2)/15
Let q(k) = k**3 - 8*k**2 + 8*k - 4. Let p be q(7). Let y = 231 + -204. Factor -31*v**3 + 4*v + y*v**p - 4*v.
-4*v**3
Let b(o) be the third derivative of o**5/15 - o**4/3 - 2*o**3 - 61*o**2. Factor b(w).
4*(w - 3)*(w + 1)
Suppose -9*d + 180 = d. Let -74 + 26*r**3 + 99 - d*r - 14*r**2 - 17*r + 8*r**3 - 11*r**4 + r**5 = 0. What is r?
-1, 1, 5
Suppose 46*h - 31*h = -9*h + 48. Factor -20/7*z - 2/7*z**h - 50/7.
-2*(z + 5)**2/7
Let a be 59/24 - (-3)/12 - 2. Let p = -3/8 + a. Factor -1/3*y**3 - 2/3*y**4 + 0*y**2 - p*y**5 + 0 + 0*y.
-y**3*(y + 1)**2/3
Let h be 12 - (-16)/(-40)*30. Find c, given that h*c + 0*c**2 + 0 - 1/2*c**3 - 5/4*c**5 - 7/4*c**4 = 0.
-1, -2/5, 0
Factor 2*n**2 - 238*n + 224*n - n**2.
n*(n - 14)
Let x(d) be the first derivative of -d**7/160 + d**6/96 + d**5/80 + d**3 + 11. Let u(r) be the third derivative of x(r). Factor u(h).
-3*h*(h - 1)*(7*h + 2)/4
Let s be (1/5)/((-2)/10) + 9. Determine t so that 2*t - 6*t + s - 6*t**2 - 4*t - 2*t**4 + t**3 + 7*t**3 = 0.
-1, 1, 2
Let c(q) be the second derivative of 0*q**4 + 0*q**6 + 0 + 1/84*q**7 - 1/20*q**5 + 1/12*q**3 + 38*q + 0*q**2. Solve c(t) = 0 for t.
-1, 0, 1
Let h(w) = 6*w - 57. Let y be h(9). Let c(b) = -b**3 - b**2 + 11*b + 17. Let z be c(y). Determine v, given that 3/5*v**z + 6/5 - 9/5*v = 0.
1, 2
Let u(h) be the first derivative of -3 - 2*h**3 + 0*h**4 + 1/1800*h**6 + 0*h + 0*h**2 + 0*h**5. Let v(c) be the third derivative of u(c). Solve v(b) = 0 for b.
0
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