ose f = -f. Solve 0*z**2 + f*z + 1/4*z**5 + d*z**4 + 0*z**3 + 0 = 0 for z.
-1, 0
Let f(s) be the third derivative of 0 + 0*s - 1/48*s**4 - 1/12*s**3 + 13*s**2 + 1/160*s**5. Factor f(v).
(v - 2)*(3*v + 2)/8
Suppose 0*d - 5*d = -4*w, 5*d - 5*w = 0. Let q(m) = m**3 - m**2 - m + 5. Let b be q(d). Suppose 3*p**3 + 47*p**4 + 12*p**b - 32*p**4 + 0*p**3 = 0. Calculate p.
-1, -1/4, 0
Factor 7 - 20*o + o**2 + 4*o + 29 - 4*o.
(o - 18)*(o - 2)
Let m(k) be the third derivative of -133*k**5/90 + 131*k**4/36 + 2*k**3/9 - 295*k**2. Factor m(v).
-2*(v - 1)*(133*v + 2)/3
Let d be (5 - -1) + 15/5. Let u = -6 + d. Factor 0*m**4 + u*m**4 - 4 + 6*m**2 - 5*m**4 + 2*m**3 - 2*m.
-2*(m - 2)*(m - 1)*(m + 1)**2
Let p(a) be the first derivative of -a**4 - 4*a**3/3 - 78. Let p(l) = 0. What is l?
-1, 0
Let c(t) be the second derivative of -4*t**4/21 + 13*t**3/7 + 5*t**2/7 + 248*t. Determine m, given that c(m) = 0.
-1/8, 5
Let m be (0/2)/(0 + 4/2). Suppose 4*j**2 - 20*j - 4*j**3 + m + 2 - 6*j**4 + 26*j - 2*j**5 = 0. Calculate j.
-1, 1
Let t(p) be the second derivative of -4/27*p**3 - 14/27*p**6 - 8*p + 0*p**2 + 1/30*p**5 + 10/27*p**4 + 0 - 7/27*p**7. Determine m, given that t(m) = 0.
-1, 0, 2/7
Let z(b) be the third derivative of -b**5/30 - b**4/6 - b**3/3 - b**2 + 10. Factor z(a).
-2*(a + 1)**2
Let b(l) = 4*l**4 + l**3 + 5*l**2 + 5. Let n(u) = -u**3 - u**2 - 1. Let i be (-2)/(3 + -1)*-5. Let r(d) = i*n(d) + b(d). Factor r(k).
4*k**3*(k - 1)
Factor -2/15*c**5 + 4/15*c**3 - 2/15*c + 0 + 0*c**4 + 0*c**2.
-2*c*(c - 1)**2*(c + 1)**2/15
Let p(n) be the third derivative of -n**9/2016 + 5*n**8/4032 + n**7/1008 - 7*n**5/60 + 3*n**2. Let l(r) be the third derivative of p(r). Factor l(m).
-5*m*(m - 1)*(6*m + 1)
Suppose -56*b + 14*b = 0. Find x, given that 10/3*x + 50/3*x**2 - 55/6*x**3 + b = 0.
-2/11, 0, 2
Let x(z) be the third derivative of z**5/105 - 5*z**4/42 + 4*z**3/7 + z**2 + 4. Suppose x(t) = 0. Calculate t.
2, 3
Let c(u) = -u**2 + 6*u - 6*u**2 + 2*u**2. Let t(m) = -80*m**2 - 12*m + 89*m**2 - 1 + 1. Let n(w) = -10*c(w) - 6*t(w). Factor n(i).
-4*i*(i - 3)
Let u(z) be the first derivative of 81*z**8/560 - 117*z**7/280 + z**6/3 - z**5/10 + 31*z**3/3 - 24. Let r(o) be the third derivative of u(o). Factor r(i).
3*i*(i - 1)*(9*i - 2)**2
Let k(m) = 3*m**2 - 5*m - 20*m**4 - 6 - 18*m**2 + 29*m**4 - m. Let v(q) = 19*q**4 + q**3 - 31*q**2 - 13*q - 13. Let r(t) = -13*k(t) + 6*v(t). Factor r(f).
-3*f**2*(f - 3)*(f + 1)
Suppose -5 = -2*s - 5*w, 7*w = -5*s + 4*w + 3. Let u(p) be the first derivative of s*p**2 + 1 - 1/18*p**3 + 0*p. Factor u(d).
-d**2/6
Suppose -3*j + 2*k - 4*k + 7 = 0, 16 = 4*j - 4*k. Let t = 49 - 46. Factor 6 + 4*f + 5*f + t*f**j - 10*f**3 + 4*f**3.
-3*(f - 2)*(f + 1)**2
Factor -2/9*n**2 - 16 + 146/9*n.
-2*(n - 72)*(n - 1)/9
Let a(j) be the first derivative of -j**6/1260 + j**5/210 + j**3 + 2*j + 15. Let d(l) be the third derivative of a(l). Let d(u) = 0. What is u?
0, 2
Let w(f) = -110*f**2 + 111*f**2 - 2*f - f**3 + 3*f. Let a(x) = -21*x**3 + 89*x**2 - 79*x + 16. Let r(v) = -a(v) + 5*w(v). Find n such that r(n) = 0.
1/4, 1, 4
Let a = -4421 + 4421. Determine w so that 1/5*w**3 + a*w**2 + 3/5*w**4 + 2/5*w**5 + 0 + 0*w = 0.
-1, -1/2, 0
Factor -67*i**2 - 104*i + 0*i**2 + 63*i**2.
-4*i*(i + 26)
Let d(r) be the second derivative of -5*r**7/14 + 47*r**6/6 - 177*r**5/4 + 1345*r**4/12 - 150*r**3 + 110*r**2 - 249*r. Solve d(j) = 0.
2/3, 1, 2, 11
Let t(w) be the third derivative of 1/1050*w**7 + 4*w + 0 - 1/1680*w**8 + 1/20*w**4 + 7/600*w**6 - 3*w**2 - 13/300*w**5 + 0*w**3. Suppose t(p) = 0. What is p?
-3, 0, 1, 2
Suppose -5*f - 4 = 2*m, 3*m + 4*f + 2 = 3. Suppose -34 = 3*o + 5*w, o - 25*w + 14 = -27*w. Let v**o + 0 - 1/2*v + 1/2*v**5 - v**4 + 0*v**m = 0. What is v?
-1, 0, 1
Let w(d) be the third derivative of d**5/240 - 37*d**4/96 - 13*d**3/4 - 12*d**2. Factor w(q).
(q - 39)*(q + 2)/4
Let d(b) = -13*b**2 + 45*b - 32. Let z(p) = -6*p**2 + 22*p - 16. Let k(h) = -2*d(h) + 5*z(h). Factor k(s).
-4*(s - 4)*(s - 1)
Let n(t) = 40*t**2 + 62*t + 34. Let x(j) = -j**3 - 80*j**2 - 124*j - 67. Let p(g) = -11*n(g) - 6*x(g). Suppose p(y) = 0. What is y?
-14/3, -1
Let q be 4 + -2 + 3 + -2. Factor -22*j**3 + 13*j**2 - 5*j**2 + 17*j**q + 7*j**2 + 25 + 45*j.
-5*(j - 5)*(j + 1)**2
Suppose 9/5*a**2 - 3/5*a**3 + 0 + 0*a - 6/5*a**4 = 0. What is a?
-3/2, 0, 1
Let l = -885194/91 - -9727. Let v = l - -9/13. What is o in 16/7*o - v*o**2 - 32/7 = 0?
4
Let f(p) = -p - 6. Let r be f(-8). Let i be r + -5 - (-6 + 1). Factor 4*q**3 - 2*q**i - 1 - 2 + 2*q**4 - 4*q + 3.
2*q*(q - 1)*(q + 1)*(q + 2)
Factor -53 - 4*r**2 + 4*r**3 - 55 + 108 - 4*r + 4*r**4.
4*r*(r - 1)*(r + 1)**2
Suppose 4*m - 3*m = 17 - 12. Factor -4/3*g**4 - 2/3*g**m + 4/3*g**3 + 4/3 + 16/3*g**2 + 14/3*g.
-2*(g - 2)*(g + 1)**4/3
Let x = 423641/15 - 28241. Factor -2/15*w**3 - 14/15 - 2/3*w**2 + x*w.
-2*(w - 1)**2*(w + 7)/15
Suppose 0 = -3*f + 5*d - 151, 6*f = 2*f - 3*d - 153. Let i be (2 + 0)/(f/(-147)). Factor 10 + 4*z - 12*z - i*z + 4*z**3 + z**3.
5*(z - 1)**2*(z + 2)
Let p(k) be the third derivative of -k**5/120 - 23*k**4/6 - 2116*k**3/3 - 17*k**2 + 5*k. Let p(u) = 0. What is u?
-92
Let j(t) be the third derivative of 2/27*t**4 - 1/54*t**6 + 1/315*t**7 + 2/135*t**5 + 0 - 32*t**2 + 0*t + 0*t**3. What is n in j(n) = 0?
-2/3, 0, 2
Let n(l) be the third derivative of -l**6/780 + l**5/26 - 4*l**4/13 - 64*l**3/39 + 579*l**2. Factor n(r).
-2*(r - 8)**2*(r + 1)/13
Factor -4*m - 12/5 - 1/5*m**3 - 9/5*m**2.
-(m + 1)*(m + 2)*(m + 6)/5
Factor 58*c + 8*c**2 - 2*c + 4*c - 3*c**2 + 3 + 132.
5*(c + 3)*(c + 9)
Suppose -2 = 2*o - 5*i, o - 4 = -2*o + 4*i. Solve -3/5*c**o - 3*c**2 + 6/5*c + 12/5*c**3 + 0 = 0.
0, 1, 2
Let b(m) be the second derivative of -32*m**6/75 - 608*m**5/25 - 2888*m**4/5 - 109744*m**3/15 - 260642*m**2/5 + 4*m + 91. Find y such that b(y) = 0.
-19/2
Let x(i) be the first derivative of 8*i**3/3 + 79*i**2 - 40*i - 141. Factor x(f).
2*(f + 20)*(4*f - 1)
Suppose -3*j + 13 = 2*l, -2*j - 4*l + 2 = -20. Let r(x) = -2*x**3 + x**2 + x. Let i be r(j). Factor -8/9*n - 2/9*n**3 + i - 8/9*n**2.
-2*n*(n + 2)**2/9
Factor 1/4*v**3 - 1/4*v - 27/4 + 27/4*v**2.
(v - 1)*(v + 1)*(v + 27)/4
Let w(x) be the second derivative of x**4/2 + 37*x**3/6 + 3*x**2 - 114*x. Factor w(h).
(h + 6)*(6*h + 1)
What is c in -197 - 5*c - 46*c + 7 - 81*c - 15*c**2 - 163*c = 0?
-19, -2/3
Let t(o) be the third derivative of 7*o**5/60 + 25*o**4/24 + 15*o**3/2 - 7*o**2. Let l(s) = s**2 + s - 1. Let v(z) = 5*l(z) - t(z). Factor v(n).
-2*(n + 5)**2
Let c(v) be the first derivative of -3*v**4/4 + 21*v**3 - 441*v**2/2 + 1029*v + 185. Factor c(p).
-3*(p - 7)**3
Let g(o) be the second derivative of o**7/1260 + o**6/120 + 2*o**4/3 - 8*o. Let f(v) be the third derivative of g(v). Factor f(y).
2*y*(y + 3)
Let s(n) be the first derivative of 5*n**6/6 + 20*n**5 + 135*n**4/2 + 260*n**3/3 + 85*n**2/2 - 382. Let s(a) = 0. What is a?
-17, -1, 0
Let r(g) = g**2 + 3*g - 36. Let h be r(5). Factor 0*f**2 - 10*f + f - 25*f**3 + 35*f**2 - 6*f + 5*f**h.
5*f*(f - 3)*(f - 1)**2
Suppose 13*y + 0*y**3 - 7*y**3 - 8*y**3 - 25*y**2 + 13*y + 20 - 6*y = 0. Calculate y.
-2, -2/3, 1
Factor 0*n - 1/6*n**3 + 0 - 1/3*n**2.
-n**2*(n + 2)/6
Find y, given that 16/9*y**3 - 46/3*y**2 - 100/9*y + 2/3*y**4 + 16/3 = 0.
-6, -1, 1/3, 4
Suppose 67*r - 58*r = 18. Let t(p) be the third derivative of 0 + 0*p - 1/6*p**3 - 6*p**r - 1/16*p**4 - 1/120*p**5. Factor t(f).
-(f + 1)*(f + 2)/2
Find l such that 24/7*l**2 + 2/7*l**5 + 18/7*l + 0 - 4/7*l**3 - 8/7*l**4 = 0.
-1, 0, 3
Let y(f) be the first derivative of -6*f**5/5 + 15*f**4/4 + 21*f**3 + 57*f**2/2 + 15*f + 71. Solve y(s) = 0.
-1, -1/2, 5
Let q(l) be the first derivative of -l**3/6 + 5*l**2/2 + 11*l/2 + 92. Factor q(v).
-(v - 11)*(v + 1)/2
Solve 7/2*d**2 - 15/4 - 4*d**3 + 1/4*d**4 + 4*d = 0 for d.
-1, 1, 15
Factor 0*n + 0 - 2/5*n**4 - 6/5*n**2 + 8/5*n**3.
-2*n**2*(n - 3)*(n - 1)/5
Let d(p) be the first derivative of -p**7/1155 - p**6/132 - 7*p**5/330 - p**4/44 - 15*p**2/2 + 8. Let v(f) be the second derivative of d(f). Factor v(b).
-2*b*(b + 1)**2*(b + 3)/11
Let h(f) be the second derivative of 0*f**4 - 28*f - 1/21*f**7 + 0*f**2 + 1/10*f**5 + 0*f**6 + 0*f**3 + 0. Find s such that h(s) = 0.
-1, 0, 1
Let h(v) be the second derivative of -v**4/28 + 45*v**3/7 - 353*v. Solve h(x) = 0 for x.
0, 90
