**5/40 + 43*z**4/2 - 79*z**3 - 2*z + 30. Factor a(v).
-3*v*(v - 2)*(7*v - 158)/2
Factor -874 - 3*z**2 + 29*z - 115*z - 1331 + 170*z + 84*z.
-3*(z - 35)*(z - 21)
Let k(o) = o**2 + o. Let a(t) = -t**3 - 2369*t**2 - 1881785*t - 496793088. Let l(g) = -a(g) + 7*k(g). Let l(n) = 0. What is n?
-792
Let q(c) be the first derivative of 5*c**4/4 - 205*c**3/3 + 1995*c**2/2 + 2205*c + 1808. Factor q(r).
5*(r - 21)**2*(r + 1)
Let h(s) be the first derivative of -14400*s**3 - 2*s**6 - 1720*s**4 - 162 - 44000*s**2 + 80000*s - 472/5*s**5. Let h(w) = 0. What is w?
-10, 2/3
Let z(s) be the third derivative of -s**6/120 - 11*s**5/60 - 5*s**4/6 + 3*s**3/2 + 25*s**2. Let l be z(-9). Factor -46 - 98*u**2 - 44*u - 41*u + 14 - l*u.
-2*(7*u + 4)**2
Let i(o) = 5 - 18*o + 3*o**3 + 4*o**3 + 0*o**3 + o**2. Let l = 1240 - 1238. Let w(u) = -3*u**3 - u**2 + 9*u - 3. Let c(v) = l*i(v) + 5*w(v). Factor c(d).
-(d - 1)**2*(d + 5)
Let c(b) = -b**3 + 109*b**2 + 60*b - 6535. Let l be c(109). Determine y, given that 1/8*y**l + 0*y + 0*y**3 + 0*y**2 - 1/8*y**4 + 0 = 0.
0, 1
Let x(j) be the third derivative of j**8/112 - j**7/5 - 3*j**6/20 + 23*j**5/5 - 115*j**4/8 + 21*j**3 - 88*j**2 + 2*j. Find l, given that x(l) = 0.
-3, 1, 14
Let h = -1638 - -2415. Solve -h*j**5 + 3*j**3 + 8*j**4 - 6*j**2 + 774*j**5 - 2*j**4 = 0.
-1, 0, 1, 2
Let j be 6 + -7 + -2 - (-3 + 257). Let i = 260 + j. Find t, given that 4/7*t**2 - 4/7*t**i + 2/7*t + 2/7*t**5 - 2/7 - 2/7*t**4 = 0.
-1, 1
Suppose b = 5*b + 4. Let k(p) = -p**2 - p. Let c(h) = 2*h**3 + 9*h**2 + 5*h**2 - 1 + 3 + 16*h + 2. Let o(j) = b*c(j) - 6*k(j). Let o(f) = 0. What is f?
-2, -1
Let a(i) be the first derivative of -i**4/3 + 776*i**3/3 - 964. Factor a(b).
-4*b**2*(b - 582)/3
Let b = 5549 - 5547. Let r(s) be the second derivative of -8/5*s**5 - b*s**4 + 0*s**3 + 2*s**2 + 17*s + 0 - 2/5*s**6. Suppose r(q) = 0. Calculate q.
-1, 1/3
Factor -187*q**4 - 14*q**3 - 18*q**3 + 185*q**4 - 28*q**2 - 2*q**4.
-4*q**2*(q + 1)*(q + 7)
Suppose 24 = 3*x, 127*i - 4*x + 32 = 126*i. Let b(q) be the first derivative of -5/3*q**3 + i*q - 35 - 15/2*q**2. Factor b(y).
-5*y*(y + 3)
Let r(t) = -7*t - 47. Let x be r(-7). What is m in -m**x + 4 + 8*m - 7 + 7*m - 23 = 0?
2, 13
Let d(p) be the first derivative of -p**4/22 + 7*p**3/33 + 6*p**2/11 - 51*p + 30. Let z(k) be the first derivative of d(k). Factor z(l).
-2*(l - 3)*(3*l + 2)/11
Let r(z) = -148*z**4 + 106*z**3 + 534*z**2 + 6*z. Let s(c) = -25*c**4 + c**3 + c**2 + c. Let o(l) = -r(l) + 6*s(l). Factor o(i).
-2*i**2*(i + 6)*(i + 44)
Suppose 287*u**5 - 1292*u**3 - 280*u**4 - 5*u**5 - 720*u**2 - 230*u**2 - 18 - 231*u - 7*u**5 = 0. Calculate u.
-1, -3/5, -1/5, -2/11, 3
Let o(c) be the first derivative of c**6/12 - 3*c**5/2 + 71*c**4/8 - 65*c**3/6 - 75*c**2 + 250*c - 491. Solve o(i) = 0.
-2, 2, 5
Let t(q) be the second derivative of q**6/32 + q**5/60 - 29*q**4/96 + 5*q**3/12 + 77*q**2 + 128*q. Let j(d) be the first derivative of t(d). Factor j(c).
(c - 1)*(3*c + 5)*(5*c - 2)/4
Let o = 457 + -454. Factor q**o + 12*q - 364 - 8*q**2 + 364.
q*(q - 6)*(q - 2)
Let t(j) be the second derivative of -j**5/24 + 5*j**4/9 + 95*j**3/36 + 25*j**2/6 - 7*j - 29. Factor t(r).
-5*(r - 10)*(r + 1)**2/6
Let h be ((-984)/168)/((-104)/2184). Factor 18*k**2 + 0 - 147/4*k**5 + 399/2*k**4 + h*k**3 + 0*k.
-3*k**2*(k - 6)*(7*k + 2)**2/4
Let k(o) be the second derivative of -33/10*o**5 + 27/2*o**4 - 1/42*o**7 + 13/30*o**6 + 0 - 63/2*o**3 + 81/2*o**2 - 120*o. Factor k(s).
-(s - 3)**4*(s - 1)
Let q(g) be the third derivative of 3*g**6/8 + 29*g**5/12 + 5*g**4/4 + 6*g**2 - 331. Factor q(u).
5*u*(u + 3)*(9*u + 2)
Let o(b) be the second derivative of b**6/75 - 11*b**5/30 + 8*b**4/45 + 4*b**3/5 + 1018*b. What is t in o(t) = 0?
-2/3, 0, 1, 18
Determine r, given that 10385*r**3 - 10382*r**3 + 660*r**2 - 119*r + 1427*r = 0.
-218, -2, 0
Let t(q) = q**2 + 2*q - 2. Let f(v) = 11*v**2 - 274*v + 272. Let u(d) = 2*f(d) - 18*t(d). Let u(l) = 0. Calculate l.
1, 145
Let v = 61789/15 + -4119. Let d(a) be the third derivative of 11/15*a**4 + 0 + 0*a - 7/50*a**5 + 24*a**2 - v*a**3. Suppose d(t) = 0. Calculate t.
2/21, 2
Let c be 0/((3 + -2)*-2 - -1). Suppose 4*m - 4 = -c. Let -16*w + 4*w + 3*w**2 - m + 1 = 0. What is w?
0, 4
Let a(y) be the second derivative of 3/8*y**5 - 1/20*y**6 + 0 + 0*y**2 - 3/4*y**4 + 0*y**3 + 32*y. Factor a(l).
-3*l**2*(l - 3)*(l - 2)/2
Factor 1273*s**2 + 190409 + 538907 - 2551*s**2 - 3416*s + 1282*s**2.
4*(s - 427)**2
Let g(j) = -38*j**2 + 51640*j + 66357760. Let v(t) = -16*t**2 + 20658*t + 26543104. Let h(d) = 5*g(d) - 12*v(d). Factor h(w).
2*(w + 2576)**2
Determine k, given that -594*k**2 - 20*k - 626*k**2 + 58629*k**3 - 77234*k**3 = 0.
-2/61, 0
Let u(x) be the second derivative of -x**6/6 + 13*x**5/2 - 1145*x**4/12 + 650*x**3 - 2250*x**2 + 936*x. Solve u(l) = 0.
3, 10
Determine i so that -5350947318469 + 9612621984137 - 43169672512*i - 10875176153266 - 12316399908914 + 3018*i**4 - 14032*i**3 - 3020*i**4 - 36918192*i**2 = 0.
-1754
Let w(h) be the first derivative of 14*h**3 + 1725*h**2/2 + 123*h - 5469. Factor w(x).
3*(x + 41)*(14*x + 1)
Let w be ((-6)/2*(-1)/9)/(-78*48/(-129168)). Solve 5*f**2 - 1/2*f**3 + w*f + 6 = 0.
-1, 12
Let x be 8/(-2) - 13/((-52)/12). Let q be (x/10)/((-7)/28). Factor -1/5*h**5 - 2/5*h**4 + q*h**2 + 1/5*h + 0*h**3 + 0.
-h*(h - 1)*(h + 1)**3/5
Suppose 2*r = -3*h - 16 + 54, -4*h - r + 49 = 0. Factor -17*m + 3*m + 5*m + 36 - 3*m**2 + h*m.
-3*(m - 4)*(m + 3)
Let t be (77/99*(-48)/21)/(4/(-6)). Solve 8/3*i**3 - 2 + 12*i**2 - 10*i**4 + t*i**5 - 16/3*i = 0 for i.
-1, -1/4, 1, 3
Let s be (((-3267)/(-44))/11)/(6/1088). Let a be 3/(-30)*6 - s/(-990). Factor 6/11 + 1/11*q**4 - a*q**2 + 5/11*q - 5/11*q**3.
(q - 6)*(q - 1)*(q + 1)**2/11
Let n be (3 - 0)*6*(-4)/(-36). Suppose -n*z + 3 = t + 4, -3*z + 1 = t. Let 5*h + 5*h**2 - 20*h**4 - 5*h**5 + 15*h**3 - 30*h**z + 5*h + 25*h**4 = 0. What is h?
-2, 0, 1
Solve -5380 + 115*n**3 - 3979*n**2 + 2934*n**2 - 2968*n + 25*n**4 - 1872*n + n**5 + 26676 = 0 for n.
-11, 4
Determine d so that 3*d**4 - 3*d**4 - 304*d + 2*d**4 + 834*d**2 - 534*d - 836 - 139*d**3 + 977*d**3 = 0.
-418, -1, 1
Find k such that 24*k**2 + 159 + 32*k**3 + 14*k**4 + 18 + 2*k**5 - 177 = 0.
-3, -2, 0
Let s(o) be the second derivative of 0*o**2 + 0 + 31/6*o**4 - 16/5*o**5 + 1/15*o**6 + 30*o + 0*o**3. Solve s(v) = 0 for v.
0, 1, 31
Suppose -4*a - 14 = -3*v, 5*v + 9*a - 11*a = 42. Factor v*c**2 - 1372*c**4 + 18*c**3 - c**2 + 3*c**2 + 1374*c**4 - 4*c**3.
2*c**2*(c + 1)*(c + 6)
Suppose -7*p + 4*p + d + 5 = 0, 0 = -4*p + 3*d. Determine w so that 38*w + 13*w**3 + 36*w**2 + 21*w**3 + 12 - 24*w**p = 0.
-2, -1, -3/5
Let l be (-8773)/(-217) + 8/14. Factor -38 + l*j**3 - 43*j**3 + 2*j + 38.
-2*j*(j - 1)*(j + 1)
Suppose -5*x + 16 = 2*h, 15 = 3*h + 2*x + 2. Let -45*b**3 + 4*b - 22*b**4 + 29*b**h + 6 - 210*b**2 + 10 + 24*b**5 - 107*b**3 - 121*b**3 = 0. Calculate b.
-2, -1, -1/3, 1/4, 4
Determine k so that -204/7*k**3 + 78/7*k**4 + 136/7*k**2 + 48/7*k + 0 - 8/7*k**5 = 0.
-1/4, 0, 2, 6
Let n = -22 - -46. Suppose n = 10*j - 6*j. Let j*a**2 - 6*a - 29 + 10 + 15 + 4*a**3 = 0. What is a?
-2, -1/2, 1
Suppose -200 = -8*g + 3*g. Let x be (-42)/(-20) - 4/g. Solve -7*s**3 - 2*s**2 + 2*s + x + 0 + 5*s**3 = 0 for s.
-1, 1
Let k(s) be the first derivative of 8/5*s + 47 - 14/15*s**3 + 1/15*s**6 - 1/10*s**4 + 6/25*s**5 + 0*s**2. What is x in k(x) = 0?
-2, -1, 1
Let w(a) be the third derivative of -a**7/420 + a**6/45 - a**5/20 + 97*a**3/6 - a**2 - 21*a. Let y(g) be the first derivative of w(g). Factor y(t).
-2*t*(t - 3)*(t - 1)
Let h(m) be the third derivative of 83*m**2 + 0*m + 0 + 8/9*m**3 - 5/24*m**4 - 1/180*m**5. Find n such that h(n) = 0.
-16, 1
Let b = 36809 + -109196/3. Let f = 415 - b. Factor 4*m**2 + 26/3*m + f.
2*(m + 1)*(6*m + 7)/3
Factor -1/4*a**2 - 689/4*a + 0.
-a*(a + 689)/4
Suppose 34*r = -5*n + 39*r, 5*r - 12 = -n. Factor -3*v**n - 334*v**3 + v - 328*v**3 + 3 + 661*v**3.
-(v - 1)*(v + 1)*(v + 3)
Let g be (6972/3320)/((-28)/(-48)). Solve -3/5*h + g*h**2 + 3/5*h**3 - 18/5 = 0.
-6, -1, 1
Let r(y) be the second derivative of -y**4/60 + 67*y**3/15 + 411*y**2/10 - 3964*y. Find p, given that r(p) = 0.
-3, 137
Factor -288 - 25*r - 26*r**2 + 7*r - r**4 - 12*r + 10*r**2 + 12*r**3 + 83*r**2.
-(r - 16)*(r - 2)*(r + 3)**2
Factor 50/7*l**2 - 2/7*l**3 + 17