2)*(w + 5)/4
Let t be (7 + 369/(-63))*(-7)/(-2). Factor -4/5*d + t*d**4 + 8/5*d**5 + 0 - 4/5*d**2 + 12/5*d**3.
4*d*(d + 1)**3*(2*d - 1)/5
Let c(a) be the second derivative of -a + 1/18*a**4 + 2/3*a**2 + 0 - 1/3*a**3. Determine s, given that c(s) = 0.
1, 2
Let r(y) be the third derivative of 1/6*y**4 - 23*y**2 + 0*y + 0 + 2/3*y**3 + 1/60*y**5. Factor r(i).
(i + 2)**2
Suppose -2*h + 10 = 12. Let s be (-48)/(-20)*(6 + h). Suppose 2*z**4 + 0*z - 10 - 15*z**3 + 20*z**2 + 15*z - s*z**4 + 0 = 0. Calculate z.
-2, -1, 1/2, 1
Suppose 10 = -2*b - 3*b, 0 = 2*k + 5*b. Factor -k*n**4 + 13 + 0 - 11*n**2 + 2 + 41*n**2 - 40*n.
-5*(n - 1)**3*(n + 3)
Suppose -19 = -4*b + 2*o + 11, 5*o + 5 = -4*b. Factor b*z**3 + 28*z**5 + 10*z**4 - 10*z**5 - 13*z**5.
5*z**3*(z + 1)**2
Suppose -5*c + 75 = -15. Suppose 64 = c*s - 14*s. Let -6*d**3 - 18*d**3 - 4*d - 7*d**4 - s*d**2 - 13*d**4 + 4*d**4 - 4*d**5 = 0. Calculate d.
-1, 0
Suppose 16 = 2*b + 2*b - 2*x, b - 11 = 4*x. Suppose -12*y + 62*y**2 - 80*y**2 - 12*y**b + 0 - 3*y**4 + 0*y**4 - 3 = 0. Calculate y.
-1
Let j be (-8)/((-960)/(-366)) + 3 - 4/(-5). Let -13/4*t - j*t**2 + 5/2 = 0. What is t?
-5, 2/3
Find y such that -36/7*y - 75/7*y**2 + 12/7 - 27/7*y**3 = 0.
-2, -1, 2/9
Let v(w) be the third derivative of w**6/168 + w**5/60 - w**4/21 - 2*w**3/21 + 469*w**2. Factor v(n).
(n - 1)*(n + 2)*(5*n + 2)/7
What is v in 425*v + 156*v**2 + 44*v**3 + 231*v - 468*v**2 + 2*v**4 - 448 = 0?
-28, 2
Let t(i) = -4*i**2 + 6*i - 5. Let r be t(3). Let u = r - -26. Factor -20*c - u*c**2 + 8*c**2 + 2 + 18 + 0*c**2.
5*(c - 2)**2
Let p(t) be the first derivative of 2/3*t**3 + 6 - 1/10*t**4 - 7/5*t**2 + 6/5*t. Determine k, given that p(k) = 0.
1, 3
Let r(v) = -3*v + 5. Let w be r(4). Let d = -4 - w. Solve -4*k**3 - 3 + 5 - 4*k**4 + k**3 + 3*k**4 - k**2 + d*k = 0 for k.
-2, -1, 1
Let x(y) be the first derivative of -1/3*y**3 + 1/2*y**2 + 12 + 0*y. Factor x(j).
-j*(j - 1)
Let x(a) = 190*a**2 + 2270*a - 2240. Let i(s) = 7*s**2 + 84*s - 83. Let d(l) = 55*i(l) - 2*x(l). Factor d(p).
5*(p - 1)*(p + 17)
Let w(g) be the first derivative of g**7/210 + g**6/120 - g**5/60 - g**4/24 - 5*g**2 + 2. Let j(m) be the second derivative of w(m). Factor j(r).
r*(r - 1)*(r + 1)**2
Suppose -3*q = -5*o + 13, -2*q + 14 = 5*o + 6. Let w be -1*(-6 + (5 - q)). Determine u so that 2/5*u + 0*u**3 - 4/5*u**2 + 4/5*u**4 - 2/5*u**5 + w = 0.
-1, 0, 1
Let w(k) = -k - 11. Let z be w(-13). Find n, given that 4*n**2 + 2*n**3 - 2*n**2 - 3*n**4 - 3*n**2 + z*n**4 = 0.
0, 1
Let w(l) = -2*l**3 + 2*l**2 + 2*l. Let k be w(-1). Factor 4*s**2 - 6 - 4 + 8*s - 6 - 5*s**k.
-(s - 4)**2
Suppose 24 = b - 4*d, -3*d - 27 = b - 4*b. Determine y so that -52/7*y**3 + 20/7*y**5 - 80/7*y - 124/7*y**2 - 16/7 + 4*y**b = 0.
-1, -2/5, 2
Let i(o) = o + 1. Let a(d) = 9*d**2 - 9 + 4*d - 10*d**2 - 2*d. Let z(g) = a(g) + 3*i(g). Factor z(l).
-(l - 3)*(l - 2)
Let p(k) be the first derivative of k**3/4 - 39*k**2/8 + 45*k/2 - 288. Factor p(c).
3*(c - 10)*(c - 3)/4
Let x(g) be the second derivative of 0*g**2 + 0 + 1/126*g**7 - 1/45*g**6 + 0*g**3 - 1/60*g**5 + 21*g + 1/18*g**4. Suppose x(h) = 0. Calculate h.
-1, 0, 1, 2
Let f(y) be the second derivative of 0*y**2 + 1/5*y**5 + 0 + 2/3*y**4 + 0*y**3 + 10*y. Determine x so that f(x) = 0.
-2, 0
Let j(n) be the second derivative of 1/60*n**5 + 0 - 15*n + 0*n**3 - 1/24*n**4 + 1/12*n**2. Determine q, given that j(q) = 0.
-1/2, 1
Let r = 8833 + -8831. Let -4/21*q**r + 0 - 2/7*q = 0. What is q?
-3/2, 0
Suppose -4*b = -2*h - 58, 4*h = -b + h + 4. Suppose -b*u + 52 = -0*u. Determine v, given that -8*v**5 - 2/3*v**3 + 0 + 0*v + 0*v**2 + 14/3*v**u = 0.
0, 1/4, 1/3
Let b = 857/2 - 428. Let k(p) be the first derivative of -9*p**2 + 4*p**3 - 9 + 0*p - b*p**4. Factor k(x).
-2*x*(x - 3)**2
Factor -5/4 - 3/2*l**2 - 11/4*l.
-(l + 1)*(6*l + 5)/4
Let n(c) be the third derivative of -c**10/10080 + c**9/3024 + c**8/4032 - c**7/504 - c**5/5 + 13*c**2. Let p(d) be the third derivative of n(d). Factor p(z).
-5*z*(z - 1)**2*(3*z + 2)
Let c(y) be the third derivative of 5/12*y**4 + 3*y**2 + 4*y + 0 - 4/3*y**3 + 23/60*y**5 + 1/24*y**6. Find h, given that c(h) = 0.
-4, -1, 2/5
Let r(o) be the first derivative of -o**4/6 + 7*o**2/3 - 4*o - 21. Determine k, given that r(k) = 0.
-3, 1, 2
Factor 91*x**2 + 45*x**3 - x**2 + 194*x**3 - 4*x**3 + 25*x**4.
5*x**2*(x + 9)*(5*x + 2)
Let q(y) be the first derivative of y**4/6 - 4*y**3/3 + 11*y**2/3 - 4*y + 59. Factor q(a).
2*(a - 3)*(a - 2)*(a - 1)/3
Let s(j) be the third derivative of 2*j**7/21 + 4*j**6/15 - 3*j**5/5 - 4*j**4/3 + 8*j**3/3 - 100*j**2. Let s(g) = 0. Calculate g.
-2, -1, 2/5, 1
Let i(x) be the third derivative of -16*x**2 + 0 - 2/35*x**7 + 1/112*x**8 + 0*x + 1/10*x**6 + x**3 - 5/8*x**4 + 1/10*x**5. Factor i(v).
3*(v - 2)*(v - 1)**3*(v + 1)
Let v(u) = -u**2 - 31*u - 202. Let g(r) = -r**3 - 3*r**2 - r + 4. Let c be g(-2). Let n(m) = -m - 2. Let h(a) = c*v(a) - 6*n(a). Factor h(f).
-2*(f + 14)**2
Factor -1/6*t**3 - 19/6*t - 3/2 - 11/6*t**2.
-(t + 1)**2*(t + 9)/6
Factor -17/3*t + 1/3*t**2 - 6.
(t - 18)*(t + 1)/3
Factor -4418 + 188/3*t - 2/9*t**2.
-2*(t - 141)**2/9
Let i(n) = -2*n**4 + 72*n**3 - 182*n**2 + 324*n - 86. Let z(p) = -p**3 - 2*p**2 - 5*p - 1. Let c(w) = 2*i(w) + 28*z(w). What is o in c(o) = 0?
1, 2, 25
Suppose 51/7*h**2 + 15/7*h**4 - 54/7*h**3 - 12/7 + 0*h = 0. What is h?
-2/5, 1, 2
Let l = -231 + 238. Let x(f) be the second derivative of 1/189*f**l - 1/30*f**5 - 5/54*f**4 - 2*f + 1/135*f**6 + 0 - 2/27*f**3 + 0*f**2. Factor x(u).
2*u*(u - 2)*(u + 1)**3/9
Let f = 125 - 118. Factor -1024*d + 0*d**4 - 5*d**4 + 384*d**2 - 48*d**3 + f*d**4.
2*d*(d - 8)**3
Let h(y) = y**2 + 16*y - 17. Let k be h(-16). Let v(g) = -3*g - 49. Let f be v(k). What is o in -25/4*o**5 + 71/4*o**3 + 5/2*o**2 - f - 5*o**4 - 7*o = 0?
-2, -2/5, 1
Let 4*n**3 - 46*n**4 - 2*n**5 + 54*n**4 - 3*n**3 - 9*n**3 = 0. What is n?
0, 2
Suppose -7*n = 4*n + 3*n - 28. Suppose -14*j**n - 72/11*j - 8/11 = 0. What is j?
-2/7, -2/11
Let y(m) be the second derivative of -m**8/1344 - 5*m**7/252 - 25*m**6/144 - 7*m**4/6 + 33*m. Let s(u) be the third derivative of y(u). Factor s(j).
-5*j*(j + 5)**2
Let f(w) = w**4 - 12*w**3 - 63*w**2 + 2*w - 4. Let n(a) = 3*a**4 - 48*a**3 - 252*a**2 + 9*a - 18. Let x(k) = -9*f(k) + 2*n(k). Factor x(l).
-3*l**2*(l - 7)*(l + 3)
Let b = 191 - 184. Let w be (b/3 - 3)*(-108)/84. Determine r, given that -9/7*r - 3/7*r**2 - w = 0.
-2, -1
Let d be 8/(-45) - (-2)/5. Let k = -16350 + 147154/9. Suppose -k*a - 2/9 - d*a**2 = 0. What is a?
-1
Let k(a) be the second derivative of 5*a**7/42 - 7*a**6/6 + 9*a**5/2 - 55*a**4/6 + 65*a**3/6 - 15*a**2/2 + 35*a. Solve k(s) = 0.
1, 3
Let g = 55529 - 55514. Let 9 + g*y + 5/2*y**3 + 1/4*y**4 + 37/4*y**2 = 0. What is y?
-3, -2
Let h = 99 + -92. Let o be (-1)/h + (-1)/(-7). Suppose 2/3*d**2 + o*d + 0 = 0. Calculate d.
0
Let f(p) be the first derivative of -2/7*p**4 + 4/7*p**2 + 2/7*p - 2/21*p**3 + 3. Factor f(a).
-2*(a - 1)*(a + 1)*(4*a + 1)/7
Let z = -5254 - -5258. Factor -2 - 8/3*v + 8/3*v**3 + 2/3*v**z + 4/3*v**2.
2*(v - 1)*(v + 1)**2*(v + 3)/3
Let g(y) = 11*y**2 - 4*y - 8. Let m(c) = -6*c**2 + 2*c + 4. Let k = -20 - -24. Let u(f) = k*g(f) + 7*m(f). Factor u(t).
2*(t - 2)*(t + 1)
Let f(r) be the third derivative of -r**6/180 + r**4/12 - 5*r**3/3 - 20*r**2. Let w(p) be the first derivative of f(p). Factor w(h).
-2*(h - 1)*(h + 1)
Let c(j) be the first derivative of j**5/90 - j**4/36 - 2*j**3/9 - 11*j**2/2 + 9. Let m(o) be the second derivative of c(o). Find a, given that m(a) = 0.
-1, 2
Let d(o) be the third derivative of o**5/30 - o**4/2 + 17*o**3/6 - 10*o**2. Let h = -5 + 6. Let n(l) = -1. Let t(v) = h*n(v) - d(v). Factor t(f).
-2*(f - 3)**2
Let j(l) be the second derivative of -l**5/240 - 241*l**4/144 - 610*l**3/3 - 600*l**2 + l + 79. Factor j(h).
-(h + 1)*(h + 120)**2/12
Let v(c) be the third derivative of -c**8/784 + c**7/98 - c**6/40 + 3*c**5/140 - 119*c**2. Solve v(f) = 0 for f.
0, 1, 3
Let s(z) be the second derivative of z**6/30 - 9*z**5/20 + 3*z**4/2 + 2*z**3/3 - 12*z**2 + 255*z. Factor s(f).
(f - 6)*(f - 2)**2*(f + 1)
Let o(s) be the first derivative of -s**5/55 + 5*s**4/22 - 13*s**3/33 - 30*s**2/11 - 36*s/11 - 410. Factor o(z).
-(z - 6)**2*(z + 1)**2/11
Let x be 5 + -2 + -2 + (-4)/12. Solve -2*n + x + 4/3*n**2 = 0 for n.