Solve z(s) = 0 for s.
-2, 0
Let n(k) be the third derivative of k**5/12 + 10*k**4/3 + 160*k**3/3 - 47*k**2. Factor n(u).
5*(u + 8)**2
Let p(l) be the first derivative of -l**5 + 385*l**4/2 - 28865*l**3/3 - 30030*l**2 - 30420*l - 343. Suppose p(s) = 0. Calculate s.
-1, 78
Suppose -5*p = -c - 8 - 9, -4*c = -p + 11. Factor 3*t**2 + 3*t**p + 2*t**3 + 7*t**2.
5*t**2*(t + 2)
Let t = 47 + -24. Let k = t - 17. Factor 10*o**2 - 5*o + 14*o**3 - 15*o**3 - 10 + k*o**3.
5*(o - 1)*(o + 1)*(o + 2)
Factor -34*z - 44/9 + 14/9*z**2.
2*(z - 22)*(7*z + 1)/9
Let d(v) = v - 1. Let k be d(5). Suppose k*q - s - s - 4 = 0, -3*s = -2*q - 2. Factor 10*u + q*u + 18 + 3*u**2 - u**2.
2*(u + 3)**2
Suppose -2*l + 4*g - 9 = -5*l, 5*l + 2*g = 1. Let i = 3 + l. Factor 3*s**2 - i*s + 4*s - 8*s.
3*s*(s - 2)
Let c be (6*28/21)/((-80)/(-24)). Factor c - 12/5*v**2 - 3/5*v + 3/5*v**3.
3*(v - 4)*(v - 1)*(v + 1)/5
Let c(w) = w**4 - 5*w**3 + 2*w - 1. Let y(a) = -a**3 + 5*a - 5. Let f(b) = b**3 - 4*b + 4. Let x(g) = 5*f(g) + 4*y(g). Let z(j) = c(j) + 3*x(j). Factor z(r).
(r - 1)**3*(r + 1)
Let i(p) be the third derivative of -p**7/490 + p**6/40 - 9*p**5/70 + 5*p**4/14 - 4*p**3/7 + p**2 - 85. Suppose i(n) = 0. Calculate n.
1, 2
Suppose -18 = -3*y, -5*s - 30 = -470*y + 465*y. What is l in 0*l**2 + 0*l**4 + s + 2/9*l**5 + 2/9*l - 4/9*l**3 = 0?
-1, 0, 1
Let r(g) be the first derivative of -4/9*g**3 - 5/6*g**4 - 1/9*g**6 + 0*g**2 + 0*g - 13 - 8/15*g**5. Factor r(b).
-2*b**2*(b + 1)**2*(b + 2)/3
Let l(z) = 2*z**3 - 3*z**2 - z + 4. Let b be l(0). Let o(q) = -11*q**2 - 12*q. Let r(u) = 13*u**2 + 11*u. Let i(t) = b*o(t) + 3*r(t). Factor i(g).
-5*g*(g + 3)
Let n(m) = -14*m**3 - 2*m**2 - m. Let o be n(-1). Let f = -11 + o. Factor 20 - 20 + f*c + c**2.
c*(c + 2)
Let t be (-12)/14*(-77)/22. Let p = 1/17 - -151/34. Suppose 3/2*g**5 + 0 + 0*g + 0*g**2 + p*g**4 + t*g**3 = 0. Calculate g.
-2, -1, 0
Let v = -377 - -379. Let n(c) be the second derivative of -1/27*c**4 - 1/30*c**5 + 0 - 8*c + 0*c**v - 1/135*c**6 + 0*c**3. Factor n(i).
-2*i**2*(i + 1)*(i + 2)/9
Let b(a) be the third derivative of -a**8/3192 + 3*a**6/380 - 58*a**2. What is i in b(i) = 0?
-3, 0, 3
Let c(k) = k**3 - 4*k**2 + 4. Let u = -8 - -12. Let q be c(u). Factor 1 - 2 - q*x**2 + 5.
-4*(x - 1)*(x + 1)
Let h(g) be the first derivative of -3*g**3 + 0*g**4 - 21 + 0*g + 3*g**2 + 3/5*g**5. Find f, given that h(f) = 0.
-2, 0, 1
Let k(c) be the first derivative of c**4/14 - 2*c**3/21 - 3*c**2 + 90*c/7 - 72. Solve k(d) = 0 for d.
-5, 3
Let u = 8 - 6. Let j = 635 + -631. Suppose -6/5*w - 3/5*w**j - 9/5*w**u + 0 + 27/5*w**3 - 9/5*w**5 = 0. Calculate w.
-2, -1/3, 0, 1
Solve -f + 296*f**4 + 14*f**3 - 4*f**3 - 302*f**4 + f - 4*f**2 = 0.
0, 2/3, 1
Factor 118/13*k**2 + 1798/13*k + 1682/13 + 2/13*k**3.
2*(k + 1)*(k + 29)**2/13
Suppose -2*y**4 + 20*y + 15*y**3 - 15*y**3 - 15*y**3 - 3*y**4 = 0. What is y?
-2, 0, 1
Let v(o) = -3*o**4 + 18*o**3 - 21*o**2 - 9*o + 18. Let l(a) = -3*a**4 + 17*a**3 - 20*a**2 - 10*a + 20. Let x(i) = -3*l(i) + 2*v(i). Suppose x(p) = 0. What is p?
-1, 2
Let b = -7 + 3. Let d be 6/b*(-2)/3. Find w, given that -w + w**2 - d + 0*w + w**2 = 0.
-1/2, 1
Let y = -5382 + 15914/3. Let f = -77 - y. Suppose -f*g**3 - 1/3*g**2 + 1/3*g + 0 + 1/3*g**4 = 0. Calculate g.
-1, 0, 1
Let r(y) be the second derivative of -3*y**6/80 + 57*y**5/160 + 105*y**4/32 + 53*y**3/16 - 45*y**2/8 - 2*y + 13. Solve r(w) = 0 for w.
-3, -1, 1/3, 10
Let g be 168/(-140)*30/(-4). Let f(i) be the third derivative of 0*i + 0*i**4 + 0*i**3 - g*i**2 + 0 + 1/30*i**5. Determine q so that f(q) = 0.
0
Let x(n) be the second derivative of 1/18*n**4 + 2/21*n**7 - 7/90*n**6 + 0*n**2 + 0 - 7/60*n**5 + 7*n + 0*n**3. Suppose x(y) = 0. What is y?
-2/3, 0, 1/4, 1
Let m(n) be the second derivative of -n**5/12 - 5*n**4/6 - 6*n**2 - 13*n. Let t(h) be the first derivative of m(h). Determine l so that t(l) = 0.
-4, 0
Let a(o) = -o**4 + 75*o**3 + 339*o**2 + 467*o + 216. Let v(x) = -75*x**3 - 340*x**2 - 470*x - 215. Let k(g) = -5*a(g) - 6*v(g). Factor k(z).
5*(z + 1)**2*(z + 6)*(z + 7)
Let 2/5 + 0*s - 1/10*s**2 = 0. What is s?
-2, 2
Suppose -205 = -4*s - 1005. Let t be (2 + s/(-4))/2. Suppose -j**3 - t + 50 + 2*j - 24 - j**2 = 0. Calculate j.
-2, 0, 1
Let w(y) be the second derivative of -y**4/84 - 2*y**3/21 - 2*y**2/7 + 86*y. Factor w(a).
-(a + 2)**2/7
Let h(g) be the second derivative of -3/8*g**4 + 1/3*g**3 + 5/2*g**2 - 6*g + 1/15*g**5 + 0. Let d(o) be the first derivative of h(o). Solve d(v) = 0 for v.
1/4, 2
Let y(b) be the second derivative of -2*b**6/15 + 12*b**5/5 - 15*b**4 + 36*b**3 + 125*b. Factor y(x).
-4*x*(x - 6)*(x - 3)**2
Let y(q) be the third derivative of -1/50*q**5 + 2 + 5*q**2 + 1/350*q**7 + 0*q**4 + 0*q**3 - 1/200*q**6 + 0*q. Factor y(l).
3*l**2*(l - 2)*(l + 1)/5
Let r(q) = 3*q**4 + 12*q**3 + 14*q**2 - 22*q - 7. Let v(m) = -m**2 + 2*m - 1. Let s(b) = r(b) + 5*v(b). Factor s(x).
3*(x - 1)*(x + 1)*(x + 2)**2
Let n(x) be the second derivative of 0 + 7/240*x**6 - 23/160*x**5 + 9/32*x**4 + 4*x - 13/48*x**3 + 1/8*x**2. Factor n(b).
(b - 1)**3*(7*b - 2)/8
Let a(j) = 11*j**2 + 16*j + 20. Let m be a(10). Let m*o**2 - 1276*o**2 - 60*o + 4*o + 196 = 0. Calculate o.
7
Let k = -12960 - -12960. What is g in k - 1/4*g**2 + 0*g = 0?
0
Let o(t) be the second derivative of 1/6*t**3 + 0*t**2 + 0 - 24*t - 1/80*t**5 - 1/16*t**4. Factor o(m).
-m*(m - 1)*(m + 4)/4
Let p = -87 + 17. Let r be 20/p*84/(-15). Suppose -r*b - 6/5 - 2/5*b**2 = 0. Calculate b.
-3, -1
Let m(g) be the first derivative of 3/14*g**4 - 2/35*g**5 - 4/7*g**2 + 0*g**3 - 3 + 0*g. Find r, given that m(r) = 0.
-1, 0, 2
Let f be (-30)/(-66) - (-1 - 180/(-165)). What is u in -2/11 - 2/11*u**2 + f*u = 0?
1
What is y in 324/5 + 396/5*y + 22/5*y**3 + 1/5*y**4 + 157/5*y**2 = 0?
-9, -2
Let x be ((-22)/(-2200))/(1/(-599)) + 6. Let m(w) be the third derivative of 0 + 6*w**2 - x*w**5 + 0*w + 0*w**3 + 0*w**4. Factor m(p).
-3*p**2/5
Let a(h) be the second derivative of h**4/9 + 64*h**3/9 + 512*h**2/3 - 77*h. Determine u so that a(u) = 0.
-16
Suppose 359*j - 124 - 529 = 424. Factor -1/4*a**2 + 1/4*a**j + 1/4 - 1/4*a.
(a - 1)**2*(a + 1)/4
Let g(r) be the first derivative of 5*r**4/14 + 8*r**3/21 - 12*r**2/7 - 44. Factor g(o).
2*o*(o + 2)*(5*o - 6)/7
Factor 24 + 16/3*d**3 - 100*d**2 + 212/3*d.
4*(d - 18)*(d - 1)*(4*d + 1)/3
Let x be (-4)/(-2) - (-4 + 3). Suppose -k = k - 4*b, -3 = -x*b. Factor 2*p**k + 2 + p + p**3 - 2.
p*(p + 1)**2
Let -50*l**4 - 4*l**5 - l**5 - 24*l**3 - 96*l**3 = 0. What is l?
-6, -4, 0
Let m(g) be the first derivative of g**4/6 + 2*g**3 + 9*g**2 + 5*g - 6. Let a(y) be the first derivative of m(y). Let a(x) = 0. What is x?
-3
Solve -2*p**3 + 18/5*p**2 + 2/5*p**4 + 4/5 - 14/5*p = 0.
1, 2
Factor 7*j**4 + 3*j**4 - 2*j**4 - 6*j**3 + 2 + j**2 - 7*j**2 - 4*j + 14*j**3.
2*(j + 1)**2*(2*j - 1)**2
Let i(o) be the third derivative of -o**7/30 + o**6/60 + 21*o**5/20 - 3*o**4/4 + 85*o**2. Factor i(f).
-f*(f - 3)*(f + 3)*(7*f - 2)
Let y(p) be the first derivative of -7*p**3/3 - 41*p**2 + 24*p - 584. Factor y(o).
-(o + 12)*(7*o - 2)
Let q(b) be the first derivative of 11*b**6/18 + 8*b**5/5 + 5*b**4/4 + 2*b**3/9 + 50. Find x, given that q(x) = 0.
-1, -2/11, 0
Factor 46/3 + 14*k**2 - 2/3*k**3 + 30*k.
-2*(k - 23)*(k + 1)**2/3
Suppose 4*m = -4*g - 20, -4*m + 5*g = 10 - 35. Suppose -10*v - 13*v + 46 = m. Find t such that -2/7 - 18/7*t**4 - 48/7*t**3 - 44/7*t**v - 16/7*t = 0.
-1, -1/3
Let w be (-1160)/(-420) + (-8)/(-14). Determine h, given that 95/3*h**3 - w*h + 0 - 85/3*h**2 = 0.
-2/19, 0, 1
Solve 1/2 - 3/4*d**2 - 1/4*d**3 + 1/4*d**4 + 1/4*d = 0 for d.
-1, 1, 2
Factor -a**5 + 6*a**4 - 42307*a + 42307*a.
-a**4*(a - 6)
Factor 361*d**2 + 70*d - 32*d - 358*d**2 + 52*d.
3*d*(d + 30)
Let i(l) be the second derivative of 0 - 1/20*l**5 - 3/2*l**3 - l + 0*l**2 + 1/2*l**4. Let i(g) = 0. Calculate g.
0, 3
Suppose 3*u - 7 - 26 = 4*i, 5*i = 3*u - 36. Let y be (-3 - 0) + (u - 1 - 3). Factor 2/3*o**5 + 10/3*o**3 + y*o + 0 - 4/3*o**2 - 8/3*o**4.
2*o**2*(o - 2)*(o - 1)**2/3
Find f such that -44/7*f**3 + 4/7*f**4 + 44/7*f - 4/7*f**2 + 0 = 0.
-1, 0, 1, 11
Factor -3*b - b**4 - 9*b**3 - 211*b**2 - 2*b**4 + 202*b**2.
-3*b*(b + 1)**3
Let g(i) be the second derivative of 0 + 1/56*i**7 + 6*i + 0*i**2 + 0*i**4 + 3/80*i**5 + 1/20*i**6 + 0*i**3. Solve g(q) = 0.
-1, 0
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