3. Factor b(m).
-5*m**2*(m + 9)/6
Let h(s) be the second derivative of -s**4/24 - 221*s**3/3 - 441*s**2 - 4171*s. Suppose h(y) = 0. Calculate y.
-882, -2
Suppose 3074*l - 3147*l + 146 = 0. Determine a so that -1/3*a**4 + 2/3*a**3 + 0 + a**l + 0*a = 0.
-1, 0, 3
Factor -16*w**3 + 0 + 63/2*w + w**4 + 1/2*w**5 + 15*w**2.
w*(w - 3)**2*(w + 1)*(w + 7)/2
Let z(b) be the third derivative of 0*b - 1/30*b**5 + 98*b**2 + 0*b**3 + 1/12*b**4 + 1. Factor z(u).
-2*u*(u - 1)
What is w in -18*w**2 - w**2 + 4*w**2 + 12*w**2 + 10*w**2 + 406 + 1423*w = 0?
-203, -2/7
Let z = 1603/219096 - -20/3043. Let j(x) be the second derivative of 1/36*x**3 + z*x**4 + 0 + 0*x**2 - 20*x. Find w, given that j(w) = 0.
-1, 0
Let x = 377/30 + -2771/240. Let a(i) be the second derivative of 0 - 11*i - x*i**4 - 1/2*i**2 - 7/6*i**3. Let a(t) = 0. Calculate t.
-2/7
Let w(i) be the third derivative of 0 + 121/525*i**7 - 1/15*i**4 + 0*i - 4/15*i**5 - 77/300*i**6 - 23*i**2 + 0*i**3. Determine t so that w(t) = 0.
-2/11, 0, 1
Let k(v) = -v**2 + 3*v + 76. Let q be k(10). Let x be (8 + 1)/(3/3) - q. Find m such that 360/11*m + 294/11*m**x + 756/11*m**2 + 48/11 = 0.
-2, -2/7
Let f(r) be the first derivative of 5*r**4 - 352*r**3/3 + 896*r**2 - 2048*r + 1778. Determine q, given that f(q) = 0.
8/5, 8
Suppose 5*v = -2*i + 2, -3*v - v = 5*i + 12. Factor -37*u**v - 26*u + 30*u**2 + 5 + 3.
-(u + 4)*(7*u - 2)
Let d(r) be the third derivative of -r**7/840 - 7*r**6/240 - 53*r**5/240 - 5*r**4/12 - 3720*r**2. Suppose d(a) = 0. Calculate a.
-8, -5, -1, 0
Let y(o) = -o**2 + 7*o + 63. Let u be y(12). Factor -348*q**u + 592*q**3 + 56*q**4 + 144*q + 336*q**2 - 2*q**5 + 6*q**5.
4*q*(q + 1)**2*(q + 6)**2
Let s = 85 + -62. Let h be 2*s/14 + (-12)/4. Factor -h - 2/7*v**3 - 6/7*v**2 - 6/7*v.
-2*(v + 1)**3/7
Find a such that 646/9*a**2 - 8*a + 2/9*a**4 - 72 + 8*a**3 = 0.
-18, -1, 1
Let c = 1618 + -1579. Let n(m) = 2*m - 78. Let t be n(c). Determine b so that 3/5*b**3 + 0*b + t - 18/5*b**2 = 0.
0, 6
Let t(i) be the third derivative of i**5/30 + 301*i**4/12 - 304*i**3 - 5*i**2 - 2*i - 67. Factor t(n).
2*(n - 3)*(n + 304)
Let u be (-1 - 0)/((-2530)/92 - -27). Determine d so that -2/5*d**5 + 98/5*d**u + 34/5*d**3 + 40 - 64*d - 2*d**4 = 0.
-5, 1, 2
Factor -15*d + 63 - 3*d**2 + 50 - 95.
-3*(d - 1)*(d + 6)
Let v(g) be the second derivative of 8/3*g**3 + 11*g + 3 + 1/6*g**4 + 7*g**2. Factor v(m).
2*(m + 1)*(m + 7)
Let j be (-4245)/84900 + ((-3328)/(-10) - 2). Let -1/4*h**3 - j*h + 9261/4 + 63/4*h**2 = 0. Calculate h.
21
Suppose -61*a + 600 = 8*a + 6*a. Let k(m) be the first derivative of -56/3*m**3 + a*m - 32 + 5*m**4 + 14*m**2. Factor k(u).
4*(u - 2)*(u - 1)*(5*u + 1)
Suppose -5 = 5*r - 5*h, h + 3*h - 4 = 3*r. Suppose 0*a + 4*a - 12 = r. Factor -a*n**4 - 18*n**2 + 3*n**3 - 7*n + 9*n**3 - 3 + 19*n.
-3*(n - 1)**4
Let z(l) = 4*l**4 + 274*l**3 + 265*l**2 - 283*l - 266. Let d(k) = k**4 + k**3 - 2*k**2 - 10*k + 4. Let r(h) = d(h) - z(h). Let r(y) = 0. What is y?
-90, -1, 1
Suppose l - 57 = -g, -4*g - 114 = -2*l - g. Let b = -52 + l. Solve -2 + 8*p**b + 3*p**3 - 16*p**2 - 12*p + 12*p**3 + 18*p**4 - 11*p**3 = 0 for p.
-1, -1/4, 1
Determine k, given that -13998*k**2 + 48 + 32904*k**2 + 792*k - 16071*k**2 - 3675*k**3 = 0.
-4/35, 1
Factor -40082357 + 98*r + 2*r**2 + 40082357 + 748*r.
2*r*(r + 423)
Let l(i) be the third derivative of -121*i**5/240 + 451*i**4/8 - 5043*i**3/2 + 1530*i**2 + 1. Solve l(k) = 0 for k.
246/11
Let c(v) be the first derivative of -v**6/9 + 5*v**4/3 - 3*v**2 - 3798. Find i, given that c(i) = 0.
-3, -1, 0, 1, 3
Let l(s) be the first derivative of -96/7*s**2 - 8/7*s**3 + 32 - 1/28*s**4 + 19*s. Let z(n) be the first derivative of l(n). Find m, given that z(m) = 0.
-8
Find k, given that -178*k - 9*k**2 + 75*k - k**3 + 103*k = 0.
-9, 0
Suppose -3*f = -5*x + 9, 4*x + 430*f - 22 = 425*f. Factor -2/5*d - 4/15*d**2 + 2/15*d**x + 0.
2*d*(d - 3)*(d + 1)/15
Let y(l) be the first derivative of -5/8*l**4 + 1/2*l**2 + 1/2*l**3 - 57 + 0*l. Factor y(h).
-h*(h - 1)*(5*h + 2)/2
Let y(w) be the first derivative of -3*w**5/20 + 18*w**4 - 229*w**3/2 + 99*w**2 + 2457*w/4 + 1125. Find p, given that y(p) = 0.
-1, 3, 91
Let b(x) be the first derivative of -x**7/9 - x**6/3 - 3*x**5/10 - x**4/18 - 271*x - 29. Let f(w) be the first derivative of b(w). Factor f(n).
-2*n**2*(n + 1)**2*(7*n + 1)/3
Let w be 1/(0 + (2/2)/3). Suppose -w = 3*t - 12. Factor 33*n**t + 6*n**2 - n + 4*n - 30*n**3.
3*n*(n + 1)**2
Suppose -15*p + 54 = -h - 49, h + 5*p - 37 = 0. Suppose -g + 1/2 + 1/2*g**h = 0. Calculate g.
1
Let y be (-656)/(-3) + (5 + -28 - -16). Let 35*n**3 + 140/3 - 680/3*n + y*n**2 = 0. What is n?
-7, 2/7, 2/3
Suppose 0 = 5*h - a - 4, 6*h + 20 = 5*h - 5*a. Factor -3*x**2 - 66*x + 181 + 27 + 7*x**2 + h*x**2 - 46*x.
4*(x - 26)*(x - 2)
Let j be ((21 - 14)*5)/42. Factor -j*r + 5/6*r**3 - 20/3 + 20/3*r**2.
5*(r - 1)*(r + 1)*(r + 8)/6
Let q be (-134)/(-402)*(87 + 2). Let c(y) be the first derivative of 25/2*y**2 + 111/4*y**4 - 9*y**5 - 2*y - 22 - q*y**3. Find s such that c(s) = 0.
2/15, 1/3, 1
Find g such that 15*g**2 - 6 - 456/7*g**3 + 393/7*g = 0.
-7/8, 2/19, 1
Factor 699*x**2 + 0*x - 5*x + 15*x**4 - 2005*x**2 + 668*x**2 - 10 + 693*x**2 - 55*x**3.
5*(x - 2)*(x - 1)**2*(3*x + 1)
Suppose r + 103 - 148 = 0. Factor 20 - 73*s**2 + r*s**2 + 83*s**2 - 75*s.
5*(s - 1)*(11*s - 4)
Let v be ((-390)/(-4) - -1) + (-2)/4. Let x = 100 - v. Factor -4*o + 7 - 19 - x + 4*o**2 - 10.
4*(o - 3)*(o + 2)
Let l be 1050/8 + 4 - 1/4. Solve -125 - 130*x - 26*x + 111*x**2 - l*x**4 - 168*x + 41 + 936*x**3 = 0 for x.
-2/5, -1/3, 2/3, 7
Let m(f) be the first derivative of -f**3/8 + 1557*f**2/16 - 1551*f/4 + 1387. Find y, given that m(y) = 0.
2, 517
Let u = 53 - 29. Factor u*x**3 + 239*x**4 + 18*x - 479*x**4 - 2*x + 36*x**2 + 244*x**4.
4*x*(x + 1)**2*(x + 4)
Let q(a) be the second derivative of 11/60*a**5 - 29 + 4/9*a**3 + 0*a**2 + 0*a**6 - 1/126*a**7 - 3*a + 1/2*a**4. Find k, given that q(k) = 0.
-2, -1, 0, 4
Let v = -3060 + 3060. Let z(a) be the third derivative of 0*a**3 - 2/105*a**7 + v*a + 8*a**2 - 3/2*a**4 + 1/6*a**6 - 1/5*a**5 + 0. Factor z(g).
-4*g*(g - 3)**2*(g + 1)
Let g(a) = a**2 - 1. Suppose 4*y = -3*c - 29, 8*y - 7*y + 5 = 0. Let x(s) = 2*s**2 - 90*s + 408. Let q(f) = c*g(f) - x(f). Factor q(i).
-5*(i - 9)**2
Let 89*a**3 + 59*a**3 + 602*a**2 - 27*a - 6*a**4 + 259*a - 152 + 81*a**3 - 17*a**3 = 0. What is a?
-2, -1, 1/3, 38
Let x(v) be the first derivative of 3*v**5/5 - 165*v**4/2 + 3024*v**3 + 165*v**2 - 9075*v - 1145. Factor x(h).
3*(h - 55)**2*(h - 1)*(h + 1)
Let j(v) be the first derivative of -v**4/5 - 128*v**3/3 + 1304*v**2/5 - 2624*v/5 - 1530. Suppose j(h) = 0. What is h?
-164, 2
What is m in 264/7*m**2 - 242/7*m**3 + 390/7*m + 100/7 = 0?
-5/11, 2
Let w be (9 + 551/(-57))*93/(-403). Factor -12/13*r + w*r**2 + 10/13.
2*(r - 5)*(r - 1)/13
Let r be ((64/(-2464))/(5/42))/(6/(-40)). What is z in -32/11*z + 128/11*z**2 - 42/11*z**5 - 128/11*z**4 - r*z**3 + 0 = 0?
-2, 0, 2/7, 2/3
Find a, given that -352 + 53*a**2 + 44*a**3 - 249*a**4 + 250*a**4 + 108*a + 1 + 145*a**2 = 0.
-39, -3, 1
Factor -24 + 24*t**2 - 2/5*t**3 + 2/5*t.
-2*(t - 60)*(t - 1)*(t + 1)/5
Factor 26/5 + 51/5*o - 1/5*o**3 + 24/5*o**2.
-(o - 26)*(o + 1)**2/5
Let p = -40 + 56. Suppose 10 - p*v - 3*v**3 + v - 12*v**2 - 16 = 0. What is v?
-2, -1
Let y(h) be the second derivative of -h**4/78 - 11*h**3/13 - 116*h**2/13 + 1943*h. Factor y(f).
-2*(f + 4)*(f + 29)/13
Let g be (96/3)/(-4) - (-413 - -403). Determine a, given that 4/5*a**3 + 1/5*a**4 - 6/5*a**g - 4/5*a + 1 = 0.
-5, -1, 1
Let p(r) be the third derivative of -r**5/600 - 651*r**4/80 + 466*r**2 - 8*r. Factor p(m).
-m*(m + 1953)/10
Let x be 0/((14 + -54)/(-5)). Let o(i) be the third derivative of 0 + i**4 + x*i + 4*i**2 + 6*i**3 + 1/15*i**5. Factor o(u).
4*(u + 3)**2
Factor 9504889/4 - 3083/2*i + 1/4*i**2.
(i - 3083)**2/4
Let x be 8/10*(1 + 14/(-4)). Let z be -6 + (x - (-558)/69). Find j, given that -10/23*j - 6/23*j**2 + z*j**4 + 2/23*j**3 - 4/23 = 0.
-1, 2
Let q(z) = 11*z**4 + 2*z**2 - z. Let t(r) = -5*r**5 - 66*r**4 - 505*r**3 - 392*r**2 - 4*r. Let n(s) = 4*q(s) - t(s). Solve n(j) = 0 for j.
-16, -5, -1, 0
Let p be (-39)/9*(-228)/(-110). Let v = -90/11 - p. Factor 8/5 + 16/5*r - 2/5*r**2 - v*r**3.
-2*(r - 2)*(r + 2)*(2*r + 1)/5
Let n(l) be the third der