3 + 4060*q**2 - 5440*q - 3654. Factor l(p).
5*(p - 2)**3*(p + 136)
Let t(i) = 394*i + 4730. Let v be t(-12). Suppose -1/11*g**3 - 675/11*g - 3375/11 - 45/11*g**v = 0. Calculate g.
-15
Let y(j) be the second derivative of j**4/72 + 11*j**3/12 - 39*j**2/2 - 1715*j. Factor y(s).
(s - 6)*(s + 39)/6
Let j = -428 - -1241. What is d in -j*d**3 - 47*d + 2097*d**2 - 531*d**4 - 88*d - 150 - 60*d**5 - 408*d**2 = 0?
-5, -1/4, 2/5, 1
Let d(o) be the first derivative of o**5/20 - o**4/16 - 19*o**3/12 - 11*o**2/8 + 15*o/2 - 1695. What is z in d(z) = 0?
-3, -2, 1, 5
Suppose 0 = 2*a + 2*w - w - 6, 3*a + 4*w - 19 = 0. Let b be -3*8/12 - (a + -3). Factor 0 + 1/5*o**3 + b*o**2 + 1/5*o**4 + 0*o.
o**3*(o + 1)/5
Let w(z) = 6*z**2 - 53*z + 1. Let k be w(9). Factor -42*i + 32*i + 15*i**3 - 5*i - k*i**2 + 10*i**4.
5*i*(i - 1)*(i + 1)*(2*i + 3)
Let u(l) = -5*l**4 + 31*l**3 + 60*l**2 - 208*l - 394. Let z(y) = -5*y**4 + 30*y**3 + 60*y**2 - 210*y - 395. Let x(a) = 5*u(a) - 6*z(a). Factor x(s).
5*(s - 5)*(s - 4)*(s + 2)**2
Let k be (424773/5668 + -75)/((-3)/8). Factor 20/13*z - 18/13 - k*z**2.
-2*(z - 9)*(z - 1)/13
Let d(h) be the second derivative of -h**6/15 + 8*h**5/5 - 5*h**4/2 + 9*h - 16. Factor d(n).
-2*n**2*(n - 15)*(n - 1)
Suppose 5*n - 24 = -4*x + 2*x, -5*x - 6 = -4*n. Factor -228*z + 29 - 32*z - 874 - 32*z**x + 12*z**2.
-5*(2*z + 13)**2
Suppose 3*y - 8 = -4*m + 8*m, 2*m = 2. Factor 66 - 5*t + 70*t + 144 - 55*t**2 - 65*t**3 - 150 - 5*t**y.
-5*(t - 1)*(t + 1)**2*(t + 12)
Let f be ((-58)/(-20) - 13/(-130)) + 770. Let g = 773 - f. Factor -9/4*o**2 + g*o**3 + 3*o + 3/8*o**4 - 9/8.
3*(o - 1)**3*(o + 3)/8
Let w = -199209/119 - -1674. Let t = w - -369/476. What is f in -1/4*f**3 + 3/4*f**2 + 1/4 - t*f = 0?
1
Let p(x) be the third derivative of -5/6*x**4 + 1/12*x**5 + 111 - x**2 - 10*x**3 + 0*x. Solve p(m) = 0.
-2, 6
Let l(g) = 109*g**2 + 6978*g - 2. Let w(k) = -166*k**2 - 6977*k + 3. Let s(q) = 3*l(q) + 2*w(q). Factor s(n).
-5*n*(n - 1396)
Let t = -511 - -514. Suppose -12*y**2 - t*y**4 + 9*y**3 - 69*y + 4*y**2 + 36 + 35*y**2 = 0. What is y?
-3, 1, 4
Let u(q) be the second derivative of -1/15*q**4 + 0 + 114*q + 4/15*q**3 + 0*q**2. Factor u(o).
-4*o*(o - 2)/5
Suppose 0 = -325*t + 277*t + 144. Let q(n) be the first derivative of -5 - 8/21*n**t - 1/14*n**4 - 5/7*n**2 - 4/7*n. Solve q(c) = 0.
-2, -1
Let w(h) be the first derivative of -h**6/9 + 2*h**5/5 + 43*h**4/3 - 188*h**3/3 - 805*h**2/3 - 294*h + 1986. Suppose w(f) = 0. What is f?
-9, -1, 7
Suppose -29693*p**5 + 29694*p**5 - 83*p**3 + 49*p - 81*p**4 + 33*p + 81*p**2 = 0. Calculate p.
-1, 0, 1, 82
Let x(j) be the third derivative of j**8/171360 - j**7/6120 + 13*j**5/12 - j**2 - 2. Let b(n) be the third derivative of x(n). Determine d so that b(d) = 0.
0, 7
Let r = 5355 + -5355. Let x(w) be the second derivative of 0 - 9/160*w**5 + 0*w**4 + 1/80*w**6 + 4*w + 0*w**3 + r*w**2. Factor x(n).
3*n**3*(n - 3)/8
Let a be ((-2)/(-55))/(200/210875). Let d = -408/11 + a. Determine y, given that 0 + 5/2*y**3 + 0*y + d*y**2 + 5/4*y**4 = 0.
-1, 0
Factor 7882/5 + 2/5*w**3 + 7886/5*w**2 + 15766/5*w.
2*(w + 1)**2*(w + 3941)/5
Let a be (1 + -66)*1*(-8)/700. Let g = a - 10/21. Let 0*n**3 - 2/15*n**4 + 2/5*n**2 + 0 - g*n = 0. What is n?
-2, 0, 1
Let d(p) be the first derivative of -2*p**3/3 + 31*p**2/2 - 107*p + 564. Let c be d(10). Factor -18/5*x**2 - 12/5 + 6/5*x**4 + 6/5*x**c - 6*x.
6*(x - 2)*(x + 1)**3/5
Let r(j) be the second derivative of 1/42*j**4 + 8/21*j**3 + 0 - 21*j + 15/7*j**2. Suppose r(w) = 0. Calculate w.
-5, -3
Factor 1/3*d**2 + 36100/3 + 380/3*d.
(d + 190)**2/3
Let c = -10040026/5 - -2008030. Solve -1/5*h**2 + c*h - 3844/5 = 0 for h.
62
Find d, given that -1/7*d**5 + 12*d + 73/7*d**3 - 163/7*d**2 + 0 + d**4 = 0.
-7, 0, 1, 12
Let l(i) be the third derivative of -i**8/112 + 74*i**7/105 - 202*i**6/15 - 260*i**5/3 - 338*i**4/3 + 366*i**2 - 2*i. Determine s so that l(s) = 0.
-2, -2/3, 0, 26
Let s(r) = -34*r**2 - 174*r + 158. Let v(h) = -10*h**2 - 58*h + 53. Let x(c) = 6*s(c) - 20*v(c). Factor x(t).
-4*(t - 28)*(t - 1)
Let i(f) = -17*f**4 - 91*f**3 + 5*f**2 + 100*f + 21. Let v(k) = 9*k**4 + 45*k**3 - 3*k**2 - 49*k - 10. Let o(m) = 4*i(m) + 9*v(m). Determine q so that o(q) = 0.
-3, -1, -2/13, 1
Let d(b) be the first derivative of 29 - 20/9*b**3 + 1/2*b**4 + 0*b**2 + 0*b + 1/9*b**6 + 4/5*b**5. Suppose d(a) = 0. Calculate a.
-5, -2, 0, 1
Let s be 9 - (11 + -7) - -1643. Let -1645 + 7*m + s + 0*m**2 + 4*m**2 + m**2 + m**3 = 0. Calculate m.
-3, -1
Factor -1436*g**2 + 435*g**3 + 1/4*g**5 + 2096*g - 1140 - 199/4*g**4.
(g - 190)*(g - 3)*(g - 2)**3/4
Let d(o) = -o**3 + 3*o**2. Let b(y) = -2*y**3 + 6*y**2. Suppose 0 = a - 5 + 9. Let i(g) = a*b(g) + 10*d(g). Solve i(z) = 0.
0, 3
Let o(i) be the second derivative of -25*i**4/4 + 277*i**3/2 - 33*i**2 + 5*i - 371. Factor o(r).
-3*(r - 11)*(25*r - 2)
Let -120/7*f + 338/7*f**3 - 38/7*f**4 + 936/7 - 2/7*f**5 - 682/7*f**2 = 0. Calculate f.
-26, -1, 2, 3
Let t(z) be the second derivative of -2*z**7/21 - 13*z**6/15 - 17*z**5/10 + 13*z**4/2 + 33*z**3 + 54*z**2 - z - 81. Suppose t(y) = 0. What is y?
-3, -3/2, -1, 2
Let x(n) be the first derivative of n**3/12 + 55*n**2/2 - 221*n/4 + 2328. Let x(p) = 0. What is p?
-221, 1
Let k(f) be the third derivative of 0*f + 1/12*f**5 - 5/12*f**4 - 5/2*f**3 - 30*f**2 + 0. Let k(a) = 0. What is a?
-1, 3
Determine w, given that 32/7 + 278/7*w**2 + 144/7*w**3 + 180/7*w + 2*w**4 = 0.
-8, -1, -2/7
Suppose 92700 = -203*s + 218*s. Let -3 + 7 - g - s*g**3 - 10*g**2 + 6187*g**3 = 0. What is g?
-4/7, 1
Let z(o) = -o - 6. Let p = -31 - -21. Let a be z(p). Factor -k**3 + a*k**3 - 7*k**3 + 8*k + 4*k**2.
-4*k*(k - 2)*(k + 1)
Let l = -4572/37 + 9181/74. Let -l*o**5 - 9*o - 15/2*o**2 + 0 + 7/2*o**3 + 3/2*o**4 = 0. Calculate o.
-2, -1, 0, 3
Let a(w) be the second derivative of w**7/14 + 4*w**6/5 + 33*w**5/10 + 6*w**4 + 9*w**3/2 + 537*w. Factor a(f).
3*f*(f + 1)**2*(f + 3)**2
Let k be ((-4)/(24/(-14))*(-76)/(-133))/3. Determine p, given that -k*p + 2/9*p**4 + 16/9 - 2*p**2 + 4/9*p**3 = 0.
-4, -1, 1, 2
Let z be (-1411)/(-166) + (-44)/8. Determine p so that 0 + 1/10*p**5 - p**2 + 6/5*p**z + 3/10*p - 3/5*p**4 = 0.
0, 1, 3
Let s = 4/7567 + -166654/340515. Let w = 8/9 + s. Factor 2/5*d + w - 2/5*d**2 - 2/5*d**3.
-2*(d - 1)*(d + 1)**2/5
Let j(g) = g**2 - 20*g - 4. Suppose 0 = -16*i - 7*i + 92. Let k(m) = 15*m**2 - 280*m - 55. Let p(f) = i*k(f) - 55*j(f). Let p(q) = 0. Calculate q.
0, 4
Factor 65*n**5 + 176*n + 81*n**5 + 30*n**3 - 99*n**3 + 104*n**2 + 4*n**4 - 145*n**5.
n*(n - 4)**2*(n + 1)*(n + 11)
Let n(r) = r**3 - 17*r**2 + 19*r - 13. Let y be n(16). Suppose 0 = 7*v - y. Factor 0*b**5 + 8*b**4 - 4*b**3 - 4*b**v + 46*b - 46*b.
-4*b**3*(b - 1)**2
Suppose 11*b = 7 - 18. Let f be ((-3)/6 + b)*(-8)/27. Factor f*r - 2/9*r**2 + 2/3.
-2*(r - 3)*(r + 1)/9
Let r(z) be the third derivative of -z + 0 + z**2 - 32/51*z**3 + 23/204*z**6 + 32/1785*z**7 + 5/17*z**5 + 1/952*z**8 + 8/51*z**4. Find m, given that r(m) = 0.
-4, -2, -1, 1/3
Let c(q) be the third derivative of 1/3*q**3 + 0 - 1/240*q**5 + 291*q**2 + 1/48*q**4 + 0*q. Factor c(a).
-(a - 4)*(a + 2)/4
Suppose -1506/7*q - 58/7*q**2 + 52/7 = 0. What is q?
-26, 1/29
Let g be (-3)/((2 + (-152)/80)*(-75)/10). Let c(y) be the first derivative of 8/3*y**2 + 24 + 3*y**g - 14/15*y**5 + 1/9*y**6 + 0*y - 40/9*y**3. Factor c(v).
2*v*(v - 2)**3*(v - 1)/3
Suppose 24 = 2*z + 34. Let g be 2 - (-1 + -2 + z). Solve 34*h**2 + 2*h + 70*h**4 - g*h + 22*h**5 + 78*h**3 + 12*h = 0 for h.
-1, -2/11, 0
Let w(r) be the second derivative of 0 - 38*r + 1496/7*r**3 - 19/6*r**4 - 4356/7*r**2 + 1/70*r**5. What is i in w(i) = 0?
1, 66
Suppose 374*w + 28 = 381*w. Factor 2*g**4 + 93*g**5 - 6*g**3 + 0*g**4 + w*g - 2*g**2 - 91*g**5.
2*g*(g - 1)**2*(g + 1)*(g + 2)
Let g(b) = 35*b**3 - 405*b**2 - 6790*b + 23980. Let c(p) = -31*p**3 + 403*p**2 + 6791*p - 23982. Let o(w) = -10*c(w) - 9*g(w). Suppose o(l) = 0. What is l?
-40, 3
Let n(d) be the second derivative of -d**7/84 - d**6/6 - 37*d**5/40 - 5*d**4/2 - 3*d**3 + 1113*d. Factor n(m).
-m*(m + 2)**2*(m + 3)**2/2
Let k(n) be the first derivative of -50 + 5/3*n**3 + 75*n + 20*n**2. Suppose k(t) = 0. Calculate t.
-5, -3
Let a(h) = -h**2 - 7*h + 8. Let i be a(-8). Suppose 5*v + 23 - 43 = i. Suppose -28*s**3 + 36*s + 52*s**v + 12*s**2 - 48*s**