4*r - v*r**4 + 9/4*r**5 + 65/6*r**3. Factor p(i).
5*(i - 1)**2*(9*i - 2)
Let j = 16126 - 16126. Let p(h) be the third derivative of 1/90*h**5 + 0*h + 6*h**2 + j*h**4 - 1/9*h**3 + 0. Factor p(i).
2*(i - 1)*(i + 1)/3
Let l(r) be the first derivative of -r**4/8 + 40*r**3/3 - 477*r**2 + 7128*r - 4353. Factor l(c).
-(c - 44)*(c - 18)**2/2
Suppose 12*y = 5*y + 2450. Factor 336*p - 91 - y*p - 203 - 2*p**3 + 22*p**2.
-2*(p - 7)**2*(p + 3)
Let a(v) be the second derivative of v**6/1800 - v**5/120 - 131*v**3/6 + 109*v. Let u(g) be the second derivative of a(g). Determine p so that u(p) = 0.
0, 5
Let i(o) be the second derivative of o**5/20 - 8*o**3 - 61*o**2/2 - 18*o. Let j(d) = -d**3 + 1. Let u(x) = -i(x) + 3*j(x). Find r such that u(r) = 0.
-2, 4
Let w be ((-22)/(-33))/(57/18 + -3). Let g(i) be the second derivative of 1/70*i**5 + 2/7*i**2 - 6*i + 0*i**w + 0 - 1/7*i**3. Factor g(l).
2*(l - 1)**2*(l + 2)/7
Let w(c) = 2*c**4 + 38*c**3 + 44*c**2 - 78*c - 18. Let s(d) = d**4 + d**3 - d - 3. Let p(z) = 6*s(z) - w(z). Factor p(j).
4*j*(j - 9)*(j - 1)*(j + 2)
Let o(b) be the first derivative of -b**6/3 - 62*b**5/5 - 85*b**4/2 - 50*b**3/3 + 86*b**2 + 112*b - 5196. Solve o(r) = 0 for r.
-28, -2, -1, 1
Let n(w) be the third derivative of w**8/1428 + 11*w**7/1785 - w**6/204 - 19*w**5/102 - 39*w**4/68 - 12*w**3/17 - 198*w**2. Let n(j) = 0. Calculate j.
-4, -3, -1, -1/2, 3
Let z(g) be the second derivative of g**4/42 + g**3/3 - 8*g**2/7 - 6783*g. Factor z(s).
2*(s - 1)*(s + 8)/7
Let f be 6 - (1 + 292/(-6)). Let z = f + -802/15. Factor 0*g**2 + 0*g + z*g**4 + 0 + 0*g**3.
g**4/5
Let r be -4*(-10)/(-4)*2/4. Let p(k) = -4*k**3 + 100*k**2 + 108*k + 12. Let x(j) = 2*j**3 - 40*j**2 - 43*j - 5. Let b(d) = r*p(d) - 12*x(d). Factor b(i).
-4*i*(i + 2)*(i + 3)
What is o in -24*o**2 + 112*o**2 - 5*o**3 - 398*o**2 - 1425*o = 0?
-57, -5, 0
Let g(f) = 2*f**2 - 36*f - 9. Let s be g(18). Let w be 6/s + -3 + (-114)/(-9). Factor 4*z**3 + z**3 - 20*z**2 - 3 - 7 + 16*z + w*z.
5*(z - 2)*(z - 1)**2
Let v(k) be the second derivative of 39/20*k**5 - 1/10*k**6 - 13/2*k**3 - 11/4*k**4 + 21*k + 0 + 18*k**2. Factor v(i).
-3*(i - 12)*(i - 1)**2*(i + 1)
Let r(g) = -3*g**2 + g + 2. Let q(n) = 18*n**2 - 9431*n + 7404113. Let y(h) = q(h) + 5*r(h). Factor y(l).
3*(l - 1571)**2
Let j(z) = 75*z**3 - 1629*z**2 + 9776*z - 4486. Let l(k) = k**3 + 5*k**2 - 2*k + 1. Let x(p) = j(p) - 3*l(p). Let x(g) = 0. What is g?
1/2, 67/6
Let g = -2399493/3206 + -519/458. Let u = -749 - g. Factor -u*l + 4/7*l**2 + 0.
4*l*(l - 1)/7
Let d be 2/(-6) - 7/14*(-42)/9. Let v(b) be the second derivative of 5/12*b**3 - 24*b + 0 + 1/24*b**4 + 3/2*b**d. Factor v(s).
(s + 2)*(s + 3)/2
Suppose -23*n = -11*n - 24. Let u(f) be the third derivative of 0*f + 1/120*f**5 + 0 - 2*f**n + 0*f**3 + 0*f**4. Let u(m) = 0. What is m?
0
Let x = 2098/3 + -6293/9. Let h(q) be the first derivative of -8/27*q**3 - 24 + 2/15*q**5 + 2/9*q - 2/9*q**2 + x*q**4. Find m such that h(m) = 0.
-1, 1/3, 1
Let m(s) be the first derivative of s**5/5 + s**4 - 16*s**3 + 56*s**2 + 123*s - 101. Let v(w) be the first derivative of m(w). Factor v(o).
4*(o - 2)**2*(o + 7)
Let f(y) = y**2 - y - 6. Let k(i) = i**3 + 154*i**2 - 976*i + 1515. Let u(o) = 5*f(o) + k(o). Solve u(c) = 0.
-165, 3
Let s(q) be the first derivative of -1/10*q**5 + 23 - 5/2*q**2 + 1/2*q**4 + 1/2*q**3 - 4*q. Factor s(p).
-(p - 4)*(p - 2)*(p + 1)**2/2
Let h(i) be the first derivative of 2*i**5/35 + 3*i**4/14 - 248*i**3/21 - 612*i**2/7 - 1440*i/7 + 12376. Solve h(m) = 0 for m.
-10, -3, -2, 12
Let r(g) = -7*g**2 - 1189*g + 3598. Let j(z) = -36*z**2 - 5947*z + 17989. Let p(n) = -2*j(n) + 11*r(n). Let p(t) = 0. Calculate t.
-240, 3
Let l(f) = 9*f**2 + 61*f - 70. Let i(g) = 8*g**2 + 62*g - 70. Let d = -234 + 231. Let q(k) = d*l(k) + 4*i(k). Suppose q(o) = 0. What is o?
-14, 1
Let j(c) = c**4 - c**2 + c - 1. Let o be (5 - 16/4)*-1. Let w(r) = 24*r**4 - 32*r**2 + 28*r - 20. Let k(h) = o*w(h) + 20*j(h). Solve k(u) = 0 for u.
-2, 0, 1
Let k(b) be the second derivative of -b**7/70 - 9*b**6/25 - 3*b**5 - 63*b**4/10 + 49*b**3/2 + 2565*b. Suppose k(f) = 0. What is f?
-7, -5, 0, 1
Let f be 6 + (-12)/2 + (11 - 2). Let s(x) = x**2 - 3*x - 6. Let w(y) = -3*y**2 + 12*y + 27. Let d(a) = f*s(a) + 2*w(a). Solve d(h) = 0 for h.
0, 1
Let g(d) = 2*d**4 + d**3 - d**2 + 2. Let y(p) = 49*p**3 + 70*p**2 - 89*p - 22. Let n(z) = 2*g(z) - y(z). Suppose n(t) = 0. Calculate t.
-2, -1/4, 1, 13
Find n, given that -276*n - 1224 + 208507*n**3 + 80*n**4 - 207106*n**3 + 148*n**4 + 9*n**5 + 2130*n**2 = 0.
-17, -6, -2, -1, 2/3
Suppose -3*q + 62 = 56. Factor 61*d + 20 - 62*d - 2*d**3 - 3*d**3 + 25*d**q - 39*d.
-5*(d - 2)**2*(d - 1)
Let i(u) = 9*u**4 - 33*u**3 + 9*u + 5. Let k(a) = 11*a**4 - 38*a**3 + a**2 + 8*a + 6. Let v(n) = -6*i(n) + 5*k(n). Factor v(x).
x*(x - 1)*(x + 2)*(x + 7)
Determine p, given that -2/7*p**2 + 2210/7 + 432/7*p = 0.
-5, 221
Suppose -5*d = -2796*l + 2797*l + 31, 0 = l - 5*d - 39. Factor -18/19*q**5 - 204/19*q**l - 128/19 - 38*q**3 + 672/19*q - 600/19*q**2.
-2*(q + 4)**3*(3*q - 1)**2/19
Determine c so that -44/7*c - 2/7*c**2 + 480/7 = 0.
-30, 8
Let z(q) be the third derivative of 0*q + 19/120*q**4 + 1/60*q**5 - 2 - 2/15*q**3 - 108*q**2. Solve z(j) = 0 for j.
-4, 1/5
Let i(n) be the third derivative of 0 + 0*n - 1/1800*n**6 + 1/60*n**4 - 4*n**2 + 1/600*n**5 - 11/3*n**3. Let w(l) be the first derivative of i(l). Factor w(x).
-(x - 2)*(x + 1)/5
Let a be ((64/24)/8)/(2/12). Solve -6*z**a + 146*z - 8*z**2 + 24*z - 9*z**2 + 18*z**2 = 0.
0, 34
Suppose 16 = -4*o - 116. Let c = 36 + o. Factor 32 - 36 + 95*u - 16 - 20*u**c - 55*u**2.
-5*(u - 1)*(u + 4)*(4*u - 1)
Let f(h) be the third derivative of -h**7/42 - 11*h**6/6 - 263*h**5/6 - 385*h**4/2 - 735*h**3/2 - 232*h**2 - h. Let f(z) = 0. Calculate z.
-21, -1
Let r = 4543 + -4541. Let u(o) be the third derivative of 0 - 1/10*o**6 - 21/20*o**5 - 9/4*o**4 + 0*o + 26*o**r + 27/2*o**3. Find p, given that u(p) = 0.
-3, 3/4
Let s(z) be the second derivative of -z**7/21 + 7*z**6/15 + 21*z**5/10 - 19*z**4/6 - 68*z**3/3 - 36*z**2 - 83*z. Solve s(j) = 0 for j.
-2, -1, 2, 9
Let f be ((-64)/(-18))/2 - (-12 + 7526/639). Solve 0*q - 6/5*q**4 - 2/5*q**5 + 0 + 0*q**f + 4*q**3 = 0 for q.
-5, 0, 2
Let s(g) be the first derivative of g**4/14 + 1184*g**3/21 + 1181*g**2/7 + 1180*g/7 + 602. Factor s(y).
2*(y + 1)**2*(y + 590)/7
Let p(q) be the third derivative of -q**6/80 - 9*q**5/40 - 23*q**4/16 - 15*q**3/4 - 338*q**2. Factor p(h).
-3*(h + 1)*(h + 3)*(h + 5)/2
Suppose -4*m = -20, 0*x + 4*m + 10 = 5*x. Let u be 5*8/(-160)*(-4)/x. What is f in u*f**2 - 1/3*f + 0 = 0?
0, 2
Let a(s) be the first derivative of 8/3*s**3 - 2*s**2 - 322 - 2/5*s**5 + 13/4*s**4 - 1/2*s**6 + 0*s. Let a(y) = 0. What is y?
-2, -1, 0, 1/3, 2
Let z = -99 - -98. Let s(v) = -2*v + 4. Let r be s(z). What is n in 2*n**4 - 4*n**2 - 3*n**3 + r + 7*n - 4*n + n**4 - 5*n**2 = 0?
-1, 1, 2
Let a(b) = -2*b**3 + 2*b - 14. Let i(q) = -q**4 - 70*q**3 - 413*q**2 + 4*q - 28. Let z(o) = 6*a(o) - 3*i(o). Factor z(d).
3*d**2*(d + 7)*(d + 59)
Suppose -25*o + 266 = -559. Factor 3*h**5 - h**3 - 29*h**3 - 23*h + o*h + 32*h - 3*h**4 + 12*h**2 + 30*h.
3*h*(h - 3)*(h - 2)*(h + 2)**2
Let u(y) be the second derivative of y**4/3 + 568*y**3/3 - 1144*y**2 + 8320*y. Let u(c) = 0. Calculate c.
-286, 2
Let z = -110174/15 + 7345. Let h(u) be the second derivative of 0 + 0*u**2 + 1/6*u**4 - 1/42*u**7 - z*u**6 + 1/20*u**5 - 32*u + 0*u**3. Factor h(j).
-j**2*(j - 1)*(j + 1)*(j + 2)
Let c be (-28 + (-88)/11)*6/(-2). What is w in 299 + 673*w - 33*w - 972*w**5 - c*w**4 - 2112*w**2 + 2448*w**3 - 363 = 0?
-2, 2/9, 1/3, 2/3
Let m(b) be the first derivative of b**4/5 + 8*b**3/5 - 14*b**2/5 - 9071. Let m(w) = 0. Calculate w.
-7, 0, 1
Suppose -6 + 8 = p. Let j(g) = g**2 - 23*g + 34. Let i be j(22). Factor i - 4*n**2 - 12*n**3 - n**2 + 48*n + p*n**2.
-3*(n - 2)*(n + 2)*(4*n + 1)
Let b(q) be the second derivative of 11*q + 0 + 1/140*q**5 + 0*q**3 - 6*q**2 + 1/56*q**4. Let f(p) be the first derivative of b(p). Factor f(w).
3*w*(w + 1)/7
Let z(v) be the third derivative of v**6/140 - 9*v**5/70 + 6*v**4/7 - 20*v**3/7 + 47*v**2 - 8*v. Factor z(u).
6*(u - 5)*(u - 2)**2/7
Let a(j) be the second derivative of j**7/1680 + j**6/80 + j**5/10 + j**4/12 + 11*j**3/3 - 71*j. Let l(v) be the t