192 + 11*p + 3441*p - 168*p**2 + 4*p**3 + 3256*p + 6392.
(p - 86)**2*(p + 4)
Let p(q) be the third derivative of -5/2*q**5 - 53/6*q**4 + 5 + 3/40*q**6 + 0*q - 7*q**2 - 12*q**3. Factor p(i).
(i - 18)*(3*i + 2)**2
Let r(x) be the first derivative of 59/5*x**3 - 69/20*x**4 + 35 + 54/5*x + 9/25*x**5 - 171/10*x**2. Solve r(f) = 0 for f.
2/3, 1, 3
Let k(p) be the first derivative of -p**4/30 + 44*p**3/15 - 43*p**2/5 + 185*p - 119. Let w(o) be the first derivative of k(o). Let w(j) = 0. Calculate j.
1, 43
Solve 0 + 69/2*r - 1/2*r**2 = 0 for r.
0, 69
Let l(q) be the second derivative of -2*q**7/21 - 6*q**6 + 141*q**5/5 - 143*q**4/3 + 32*q**3 + q + 3382. Factor l(h).
-4*h*(h - 1)**3*(h + 48)
Factor 26*h**2 + 748*h - 1040 - 100*h**2 - 2389*h**3 - 34*h**2 - 10*h**2 + 2391*h**3.
2*(h - 52)*(h - 5)*(h - 2)
Let v(c) be the third derivative of 2/25*c**5 + 0*c**4 + 69*c**2 + 0*c**3 + 0 - 1/200*c**6 + 0*c. Factor v(r).
-3*r**2*(r - 8)/5
Let c = 1/258808 - -582317/258808. Determine k so that 2*k**2 + 1/4*k**4 + 0 + 0*k + c*k**3 = 0.
-8, -1, 0
Find y, given that 0 + 4/13*y**3 + 246/13*y**2 + 122/13*y = 0.
-61, -1/2, 0
Solve 94*q + 858 + q**3 + 4*q**3 - 290 + 59*q**2 - 261 - 267 = 0 for q.
-10, -1, -4/5
Let x = 1075/382 + -60/191. Let l(i) be the second derivative of -14*i + 0 - x*i**3 + 5/12*i**4 - 10*i**2. Find f such that l(f) = 0.
-1, 4
Suppose -i = -7, -4*i = -2712*p + 2714*p - 36. Let k(q) be the first derivative of -8/9*q**3 - 6*q - 1/12*q**p - 7/2*q**2 + 18. Factor k(w).
-(w + 2)*(w + 3)**2/3
Suppose 2*n = -n - 222. Let z = 78 + n. Factor -20*b**z - 18*b**4 - 90*b**3 - 101*b**2 - 5*b**5 + b**2 - 40*b + 3*b**4.
-5*b*(b + 1)*(b + 2)**3
Suppose 2*z - 10 + 15 = -3*l, -3*l = z + 1. Let j be l + 4/10*10/8. Solve -2*b**2 - 1/4*b**4 + 9/4 + 3/2*b**3 - j*b = 0.
-1, 1, 3
Let n = 127630 - 127615. Suppose 0 - 5/3*r**5 + n*r**3 + 0*r**2 + 0*r + 0*r**4 = 0. What is r?
-3, 0, 3
Let b(p) = -p**3 - p**2 + 16*p + 20. Let v(n) = -n**3 - n**2 + n. Let s be 2/(-3) - (-322)/69. Let w(q) = s*v(q) + b(q). Let w(f) = 0. Calculate f.
-2, -1, 2
Let t = -317 + 321. Let -s + 28868*s**2 + s - 28875*s**2 + 6*s**3 + s**t = 0. Calculate s.
-7, 0, 1
Let r = -1192 + 3344/3. Let z = r + 78. Determine y, given that -z*y - 4/9 + 2/9*y**3 + 0*y**2 = 0.
-1, 2
Let a be 1/(6/39*(-5)/40). Let y = -39 - a. Factor y*i + 4 - 11*i + i**2 - 3*i**2.
-2*(i - 2)*(i + 1)
Let y be (11/33)/((-15)/(-150)). Let p(g) be the second derivative of -7*g - 25/2*g**2 - y*g**3 + 0 + 5/12*g**4. What is z in p(z) = 0?
-1, 5
Determine s, given that -908*s**3 - 1017*s**2 - 272484 - 1075*s**2 + 912*s**3 + 439013*s - 164441*s = 0.
1, 261
Let u = -313 + 3457/11. Let z = 349114/11 - 31736. Factor z + 2/11*m**3 + u*m**2 + 30/11*m.
2*(m + 1)*(m + 3)**2/11
Let q(f) = f**2 + 105*f + 407. Let g be q(-4). Let j(u) be the first derivative of 0*u + 4/9*u**g - 4/3*u**2 - 2 + 1/3*u**4. Solve j(z) = 0.
-2, 0, 1
Let q(k) be the third derivative of 1/48*k**5 + 0*k**3 + 1/336*k**8 - 1/40*k**6 + 0*k + 0 + 1/840*k**7 + 1/48*k**4 - 2*k**2. Solve q(h) = 0 for h.
-2, -1/4, 0, 1
Let b(j) be the second derivative of 13/2*j**2 + 0 + 1/210*j**5 - 1/21*j**3 + 17*j + 0*j**4. Let g(q) be the first derivative of b(q). Factor g(a).
2*(a - 1)*(a + 1)/7
Determine g, given that 8*g - 2/11*g**2 + 600/11 = 0.
-6, 50
Let a(n) be the second derivative of -n**7/189 + n**5/30 - n**4/27 + 390*n. Solve a(w) = 0.
-2, 0, 1
Let p(y) be the third derivative of -1/240*y**5 + 4 + 0*y + 13/96*y**4 - 13*y**2 + 7/12*y**3. Let p(i) = 0. What is i?
-1, 14
Let r(h) be the first derivative of 4*h**5/35 - 101*h**4/7 - 876*h**3/7 + 3226*h**2/7 - 3424*h/7 + 7802. Determine i so that r(i) = 0.
-8, 1, 107
Let g be -3 - -10*2/4*2. Let y**4 + 3 + 3*y - 7*y**3 + g*y + 5*y**2 - 3*y - 9 = 0. Calculate y.
-1, 1, 6
Let w(g) be the first derivative of g**4/8 + 58*g**3/3 - 59*g**2 - 2690. Find m, given that w(m) = 0.
-118, 0, 2
Let n(r) = 9*r**3 - 698*r**2 + r + 698. Let v(g) = 14*g**3 - 1048*g**2 + 2*g + 1048. Let k(l) = -8*n(l) + 5*v(l). Factor k(b).
-2*(b - 172)*(b - 1)*(b + 1)
Let g(n) be the third derivative of n**6/360 + 5*n**5/36 - n**4/72 - 25*n**3/18 - 4*n**2 - 131*n. Factor g(c).
(c - 1)*(c + 1)*(c + 25)/3
Solve -5/2*s**2 - 365/2*s + 0 = 0.
-73, 0
Let i be 307559/424 + (-6)/16. Let q = -722 + i. Determine k, given that 3/5*k - 1/5*k**2 + 1/5 - 3/5*k**q = 0.
-1, -1/3, 1
Let x(h) = h**3 + h**2 + h + 2. Let d be x(-2). Let a be 2/((-4)/3568*d). Factor a*l**4 - 4*l**3 - 446*l**4 + 2*l + 2*l**5.
2*l*(l - 1)**2*(l + 1)**2
Let o(l) be the first derivative of l**4/16 - 22*l**3/3 - 245*l**2/2 - 14667. Find c, given that o(c) = 0.
-10, 0, 98
Let y(o) be the second derivative of o**7/672 - 13*o**6/288 + o**5/3 - 25*o**4/24 + 17*o**3 - 49*o + 3. Let c(r) be the second derivative of y(r). Factor c(k).
5*(k - 10)*(k - 2)*(k - 1)/4
Let b(h) = 5*h**3 - 86*h**2 + 388*h - 490. Let i(o) = 2*o**2 - o. Suppose -7*r + 132 = 125. Let j(u) = r*b(u) + 3*i(u). Factor j(t).
5*(t - 7)**2*(t - 2)
Let z(q) be the first derivative of q**6/6 - 46*q**5/5 + 193*q**4/4 + 7372*q**3/3 + 18328*q**2 + 53824*q - 611. Factor z(m).
(m - 29)**2*(m + 4)**3
Solve -3384*b**3 - 1172317*b**5 + 69*b**4 + 2344635*b**5 - 1172315*b**5 = 0 for b.
-47, 0, 24
Let w(p) be the second derivative of 1/8*p**4 + 29/36*p**3 + 0 + 1/2*p**2 - 32*p. Factor w(x).
(x + 3)*(9*x + 2)/6
Let k(u) = u**2 - 15*u + 4. Let w be k(15). Let s be 0*w/(-16)*2. Factor 4*f**2 - 2*f**5 - 6*f - 3 + 0 + 8*f**3 + s*f**5 - 1.
-2*(f - 2)*(f - 1)*(f + 1)**3
Let p(r) be the first derivative of r**3/15 + 1557*r**2/10 - 1558*r/5 + 7934. Factor p(m).
(m - 1)*(m + 1558)/5
Let w(s) be the first derivative of 73 + 1/3*s**3 + 1/2*s**2 + 0*s. Suppose w(a) = 0. What is a?
-1, 0
Let c(n) be the third derivative of -n**6/40 + 21*n**5/20 - 5*n**4/2 - 993*n**2. Factor c(h).
-3*h*(h - 20)*(h - 1)
Let j(l) be the first derivative of l**7/420 + 17*l**6/240 + 11*l**5/30 + 7*l**4/12 - 29*l**2 - 127. Let v(m) be the second derivative of j(m). Factor v(g).
g*(g + 1)*(g + 2)*(g + 14)/2
Let j(z) = 7*z + 49. Let p be j(-2). Factor -48*f**2 - p*f**3 + 46*f**3 - 64*f - 2*f**4 - 20 - 27*f**3 - 12.
-2*(f + 2)**4
Let j be 4/(5 - 9)*-20*5. Determine y, given that -12 + 325*y**2 - j*y**2 + 39 - 159*y + 27*y**3 = 0.
-9, 1/3
Let o(z) = -2*z**2 - z - 3. Let s(h) = 5*h**2 + 121*h - 108. Let y(w) = 3*o(w) + s(w). Factor y(l).
-(l - 117)*(l - 1)
Let n(o) be the second derivative of -3 + 75/2*o**2 + 3*o + 5/3*o**3 + 1/36*o**4. Let n(j) = 0. Calculate j.
-15
Suppose -4*x = 2*w - 26, -2*x + 25 + 30 = 3*w. Let z = w - 19. Determine h so that -z*h**4 + 18*h**3 - 12*h**2 - 14*h - 14*h + 22*h**4 - 8 + 10*h**3 = 0.
-1, -2/5, 1
Let a(f) = 50*f**3 + 4145*f**2 + 4805*f - 5835. Let q(r) = 8*r**3 + 691*r**2 + 801*r - 972. Let x(g) = 6*a(g) - 35*q(g). Factor x(c).
5*(c + 2)*(c + 33)*(4*c - 3)
Let v be 2*2/(-24)*(-7)/((-98)/(-63)). Let y(z) be the first derivative of -5*z**3 + 0*z**2 + v*z**4 + 0*z + 10. Solve y(m) = 0.
0, 5
Suppose 402*l - 375*l = 0. Let i(w) be the third derivative of 1/42*w**7 - 16*w**2 + 1/2*w**5 + 5/6*w**3 + 1/6*w**6 + 5/6*w**4 + l + 0*w. Factor i(c).
5*(c + 1)**4
Let j(x) be the third derivative of x**8/50400 - x**7/1400 + x**6/100 - 2*x**5/5 - x**2 + 31. Let y(n) be the third derivative of j(n). Solve y(t) = 0.
3, 6
Let r(u) = 12*u**4 + 185*u**3 + 911*u**2 + 1159*u + 449. Let t(k) = -36*k**4 - 554*k**3 - 2738*k**2 - 3478*k - 1349. Let y(h) = 13*r(h) + 4*t(h). Factor y(g).
3*(g + 1)*(g + 7)**2*(4*g + 3)
Let f = 62 + -17. Let x = f + -42. Factor 7*w**3 - 3 - 7*w**3 + 9*w**2 - 4*w**x + 10*w.
-(w - 3)*(w + 1)*(4*w - 1)
Let t(p) = -p**2 - 24*p - 20. Let u be t(-23). Let 522*y**u + 5*y - 527*y**3 + 6*y - 6*y = 0. Calculate y.
-1, 0, 1
Suppose -2*j - 128 = -4*g - 168, -20 = -3*g - j. Let 20/7*k**3 + 8/7*k**2 + 16/7*k**4 + 4/7*k**5 + g*k + 0 = 0. Calculate k.
-2, -1, 0
Let a(s) be the second derivative of 0 + 110*s + 24/7*s**2 + 1/42*s**4 + 2/3*s**3. Determine t, given that a(t) = 0.
-12, -2
Factor 754/7*d - 68/7*d**2 - 2704/7 + 2/7*d**3.
2*(d - 13)**2*(d - 8)/7
Suppose 4*a + 740 + 938 = 5*k, -15*a - 1307 = -4*k. Let k*d + 2/3*d**3 + 26*d**2 + 4394/3 = 0. Calculate d.
-13
Let l(v) be the third derivative of v**6/72 - 7*v**5/4 + 50*v**4/3 - 590*v**3/9 - 2*v**2 - 2*v - 9. Let l(q) = 0. Calculate q.
