*5/10 + 2*k**4 - 4*k**3/3 + 40*k. Determine r so that q(r) = 0.
-1, 0, 1/3, 2
Let v(p) be the first derivative of -p**5/9 - 11*p**4/36 + 4*p**3/27 + 2*p**2/3 - 226. Factor v(j).
-j*(j - 1)*(j + 2)*(5*j + 6)/9
Let p(t) be the first derivative of 0*t - 4/5*t**2 + 3 - 4/5*t**5 - 12/5*t**4 - 12/5*t**3. Factor p(i).
-4*i*(i + 1)**2*(5*i + 2)/5
Let d(l) = -11*l**2 + 36*l - 49. Let w(o) = -o**3 - o**2 - o - 1. Let a be w(-2). Let j(u) = 5*u**2 - 18*u + 25. Let b(r) = a*j(r) + 2*d(r). Factor b(y).
3*(y - 3)**2
Suppose 5*y - 10 = -s, 0 = -4*y - 4*s + 6*s - 6. Factor -3 + 10*o + y - o**2 - 13*o.
-(o + 1)*(o + 2)
Let j(w) be the first derivative of -5*w**6/6 - 3*w**5 + 5*w**4 - 171. Factor j(r).
-5*r**3*(r - 1)*(r + 4)
Solve -2/9 + 2/9*c**2 + 0*c = 0 for c.
-1, 1
Let m(g) be the second derivative of g**6/10 + 21*g**5/20 + 17*g**4/4 + 17*g**3/2 + 9*g**2 - 430*g. Solve m(l) = 0.
-3, -2, -1
Let f = 30985/139473 + 1/15497. Let -f*u**4 - 2/9 + 4/9*u**2 + 2/3*u + 2/3*u**5 - 4/3*u**3 = 0. What is u?
-1, 1/3, 1
Let l(p) be the second derivative of -p**5/70 - 5*p**4/14 + p**3/21 + 15*p**2/7 - 2*p + 66. Factor l(r).
-2*(r - 1)*(r + 1)*(r + 15)/7
Let c = 7919/5 + -1583. Let g(q) = q + 9. Let r be g(-7). Factor 0 - 8/5*w + c*w**r.
4*w*(w - 2)/5
Let b(y) = 2*y**4 + 15*y**3 - 10*y**2 - 57*y - 43. Let r(i) = -5*i**4 - 45*i**3 + 30*i**2 + 170*i + 130. Let j(q) = -10*b(q) - 3*r(q). Factor j(p).
-5*(p - 2)*(p + 1)*(p + 2)**2
Solve -3/2*p**2 - 9/2*p - 3 = 0.
-2, -1
Find b such that 9/2*b**4 - 9/2*b**2 + 27/4*b - 6*b**3 + 0 - 3/4*b**5 = 0.
-1, 0, 1, 3
Let d(y) be the third derivative of -25*y**8/168 - 52*y**7/105 - 29*y**6/60 - y**5/15 + 219*y**2. Let d(k) = 0. What is k?
-1, -2/25, 0
Suppose -28 - 20 = -16*u. Let f(d) be the third derivative of 8/9*d**u + 0 + 14*d**2 - 7/18*d**4 + 1/30*d**5 + 0*d. Factor f(z).
2*(z - 4)*(3*z - 2)/3
Let c(t) be the third derivative of -3*t**6/20 - 19*t**5/20 - 3*t**4/8 + t**2 - 136*t. What is w in c(w) = 0?
-3, -1/6, 0
Suppose -2/17*d**2 - 20/17*d - 32/17 = 0. Calculate d.
-8, -2
Let w = -46962/5 + 9394. Factor -w - 6/5*n + 2/5*n**2.
2*(n - 4)*(n + 1)/5
Suppose -25 = -5*o - 5. Determine y so that 2/7*y**5 + 1/7*y**3 + 3/7*y**o + 0 + 0*y**2 + 0*y = 0.
-1, -1/2, 0
Let u(i) be the third derivative of i**7/1120 + i**6/480 - i**5/20 - 3*i**4/8 - 5*i**3/2 - 11*i**2. Let d(h) be the first derivative of u(h). Factor d(r).
3*(r - 3)*(r + 2)**2/4
Let w(t) be the second derivative of -t**5/12 + 17*t**2/2 - 23*t. Let m(s) be the first derivative of w(s). Factor m(u).
-5*u**2
Let k(g) be the first derivative of 3*g**4/4 + 15*g**3 + 225*g**2/2 + 375*g + 91. Factor k(j).
3*(j + 5)**3
Let c(w) = -w**4 - w**3 - w**2 + w. Let g = -12 - -8. Let b(l) = 8*l**3 + 4*l**2 - 4*l. Let o(r) = g*c(r) - b(r). Factor o(d).
4*d**3*(d - 1)
Let j be 13/143*10 + 0. Solve -36/11*h**3 + 2*h - j*h**2 - 4/11 = 0.
-1, 2/9, 1/2
Let n(r) be the second derivative of r**7/231 + 4*r**6/165 - 3*r**5/22 - 25*r**4/33 + 64*r**3/33 + 96*r**2/11 - 61*r - 3. Let n(f) = 0. Calculate f.
-4, -1, 2, 3
Let h be (-2)/(-23) - (-2562)/(-61732). Let p(l) be the first derivative of 0*l**2 - h*l**4 - 2/55*l**5 + 0*l + 6 + 0*l**3. Let p(i) = 0. Calculate i.
-1, 0
Let t = -6615 + 6617. Factor -10/3*x**t + 0 + 4/9*x + 14/9*x**3.
2*x*(x - 2)*(7*x - 1)/9
Let 4/3*c**5 + 0 + 32*c**3 + 88/3*c**2 + 28/3*c + 40/3*c**4 = 0. Calculate c.
-7, -1, 0
Let l(d) be the third derivative of 0*d + 0*d**5 + 1/40*d**6 + 0 + 0*d**4 - 4*d**2 + 0*d**3. Factor l(s).
3*s**3
Suppose -9*b + 211 + 122 = 0. Let v = 39 - b. Factor 0 - 3/4*c**v - 9/4*c.
-3*c*(c + 3)/4
Let l(k) = k**2 - 1. Suppose -4*r + 10 = -2*j, -5*j = 2*r - 14 - 9. Let g(v) = -3*v**3 - 66*v**2 - 297*v + 366. Let f(p) = j*l(p) + g(p). Factor f(z).
-3*(z - 1)*(z + 11)**2
Let k = 247 + -2219/9. Let m be (-100)/270*3/(-5). Factor -m*u**2 + k - 2/9*u.
-2*(u - 1)*(u + 2)/9
Let k(o) be the first derivative of o**3/18 + 47*o**2/6 - 95*o/6 + 330. Let k(t) = 0. Calculate t.
-95, 1
Factor 4*f**4 + 0*f**4 - 11*f**4 + 424*f**3 - 11236*f**2 + 3*f**4.
-4*f**2*(f - 53)**2
Solve -7065/4*n**2 - 13365/2*n**3 - 165*n - 5 - 32805/4*n**4 = 0.
-1/3, -2/27
Let m(h) = -h + 12. Let s be m(9). Suppose 2*o - 3 = n + s, 0 = 2*o - 2*n - 6. Factor -2 - 8*g - 17/2*g**2 - 5/2*g**o.
-(g + 1)*(g + 2)*(5*g + 2)/2
Let i(d) = -d - 2. Let g be i(-4). Let y(h) = 35*h + 35. Let m be y(-1). Factor 2/3*z**4 - 2/3*z**g + 0*z + m*z**3 + 0.
2*z**2*(z - 1)*(z + 1)/3
Let m(d) = -d**3 - d**2 + d. Let h be m(1). Let r = 4 - h. Find n such that 0*n**2 + 16*n**3 - 7*n - 14*n + r*n - 4 + 4*n**2 = 0.
-1, -1/4, 1
Let i(w) be the second derivative of -w**9/3024 - w**8/448 - w**7/168 - w**6/144 - 7*w**4/12 + 11*w. Let l(o) be the third derivative of i(o). Factor l(k).
-5*k*(k + 1)**3
Let 1/3*f**4 + 0 + 7/3*f**2 + 5/3*f**3 + f = 0. What is f?
-3, -1, 0
Let n(j) be the third derivative of -j**7/70 - 3*j**6/20 - j**5/4 + 50*j**2. Determine o so that n(o) = 0.
-5, -1, 0
Let j(t) be the first derivative of 9*t**4/16 + 14*t**3/3 + 21*t**2/2 + 4*t - 98. Solve j(i) = 0 for i.
-4, -2, -2/9
Let x(a) be the first derivative of -13*a**4/4 + 89*a**3/3 + 7*a**2 - 502. Factor x(i).
-i*(i - 7)*(13*i + 2)
Let a = -12 + 16. Let r be 154/(-28) - -1*8. Factor 9/2*c**3 + r*c**a + 7/2*c**2 + 0 + 1/2*c**5 + c.
c*(c + 1)**3*(c + 2)/2
Factor 247*j**2 - 643*j - 350*j**3 - 1121*j - 2284*j**2 + 115*j**3 + 37*j**4 - 4*j**5 + 3*j**5.
-j*(j - 21)**2*(j + 1)*(j + 4)
Let y(u) be the third derivative of -u**8/840 + u**7/525 + u**6/50 + u**5/75 - u**4/12 - u**3/5 + 615*u**2 + u. Suppose y(v) = 0. What is v?
-1, 1, 3
Let d(k) be the second derivative of 0 + 1/130*k**5 - 1/39*k**4 - 1/13*k**3 - 5*k + 0*k**2. Find l such that d(l) = 0.
-1, 0, 3
Let s(p) be the second derivative of p**8/2240 + p**7/840 - p**6/120 + 29*p**4/12 - 16*p. Let h(z) be the third derivative of s(z). Let h(b) = 0. What is b?
-2, 0, 1
Let r(k) be the second derivative of k**6/120 - k**4/48 + 64*k - 1. Solve r(s) = 0 for s.
-1, 0, 1
Let x be (-1515)/20*(-16)/6. Let g = -202 + x. Factor g - 7/5*z**4 + 28/5*z**2 - 8/5*z + 2/5*z**3.
-z*(z - 2)*(z + 2)*(7*z - 2)/5
Let s be 60/35 + 7/(98/4). Let d(w) be the second derivative of 2*w + 8*w**3 + 4/5*w**5 - 1/15*w**6 + 0 - 9*w**s - 11/3*w**4. Find j such that d(j) = 0.
1, 3
Solve 9*d**2 + 2*d**3 + 2*d**3 + 5*d**2 + 10*d**2 = 0 for d.
-6, 0
Let v(d) be the third derivative of 3/112*d**8 - 1/60*d**5 + 0*d - 1/24*d**6 + 0*d**3 - 6*d**2 - 1/70*d**7 + 0*d**4 + 0. What is c in v(c) = 0?
-1/3, 0, 1
Let o(i) be the first derivative of 5/2*i**2 - 5/3*i**3 + 0*i - 4. Factor o(s).
-5*s*(s - 1)
Let t be (-8)/((4/10)/(9/(-15))). Suppose t - 20 - z**4 + 5*z**4 - 12*z**3 + 4*z**2 + 12*z = 0. What is z?
-1, 1, 2
Let n(p) be the first derivative of -p**4/4 + 116*p**3/9 + 13*p**2/2 + 108. Solve n(t) = 0 for t.
-1/3, 0, 39
Let a(w) be the third derivative of w**7/735 - w**6/140 - w**5/105 + w**4/7 - 8*w**3/21 - 286*w**2. Let a(v) = 0. Calculate v.
-2, 1, 2
Suppose -3*x + 1 = -5. Let w = x - 0. Factor 8 + w*g**3 + 5*g - 5*g + 0*g**3 - 6*g**2.
2*(g - 2)**2*(g + 1)
Suppose 0 = 11*r - 3*r - 48. Suppose -r = -2*b - t, -3*t + 15 = 5*b - 0*b. Factor -16*o**2 - 276/7*o**b + 0 - 40*o**4 - 16/7*o - 100/7*o**5.
-4*o*(o + 1)**2*(5*o + 2)**2/7
Solve -66*k**5 + 30*k**4 + 7 - 2*k**2 + 57*k - 11 - 24 - 41*k**5 - 56*k**3 + 106*k**5 = 0 for k.
-1, 1, 28
Suppose -3*b + 0*i + 86 = -2*i, 0 = -5*b - i + 165. Let a = 0 + b. Let 34*v**3 - a*v**3 + 0*v**5 - 2*v**5 = 0. Calculate v.
-1, 0, 1
Let f(l) be the third derivative of -l**5/105 - 29*l**4/21 - 1682*l**3/21 + 150*l**2. Factor f(b).
-4*(b + 29)**2/7
Factor 144/7 + 52/7*p**2 + 240/7*p - 40/7*p**3 + 4/7*p**4.
4*(p - 6)**2*(p + 1)**2/7
Let n(h) be the third derivative of -h**5/240 - 7*h**4/32 - 5*h**3/6 + 57*h**2 + h. Determine o, given that n(o) = 0.
-20, -1
Let r(h) = 4*h**3 - 6*h**2 - 20*h + 17. Let o(x) = -2*x**3 + 2*x**2 + 10*x - 8. Let l(j) = -5*o(j) - 2*r(j). Factor l(v).
2*(v - 1)**2*(v + 3)
Let q be -3*15/(-375)*15. What is x in 9/5*x**2 - 3/5*x**3 - q*x + 3/5 = 0?
1
Let u(x) be the third derivative of 0*x + 2/5*x**5 + 1/4*x**4 + 0 - 2*x**2 - 1/2*x**3. Suppose u(h) = 0. Calculate h.
-1/2, 1/4
Let l(g) be the second derivative of g**6/240 + 3*g**5/40 + g**4/2 + 15*g**3/2 - 33*g. Let d(z) be the second derivative of l(z). Fa