 30*m(v). Factor r(z).
-5*z*(12*z - 1)**3
Let m = -223/38 - -140/19. Let l(y) be the second derivative of 0 - 3/2*y**2 + m*y**3 + 9*y + y**4. What is t in l(t) = 0?
-1, 1/4
Let n(s) = -s - 6. Let m be n(-8). Let l be (220/36 + (-84)/(112/8))*6. Factor 2/3 + 2*y + l*y**3 + 2*y**m.
2*(y + 1)**3/3
Determine t, given that 49152 + 48896*t + 1/3*t**3 - 767/3*t**2 = 0.
-1, 384
Let m(y) be the third derivative of -y**4/12 - 41*y**3/6 - 7*y**2. Let g be m(-22). Factor x - g*x + 2*x**3 - x**4 - 2*x + x**2 + 2*x.
-x*(x - 2)*(x - 1)*(x + 1)
Let q = -317 - -319. Factor -6 - 9*j**2 + 7*j**q + 10*j - 224*j**3 + 0*j + 222*j**3.
-2*(j - 1)**2*(j + 3)
Let g(c) be the third derivative of 0*c - 1/390*c**5 - 11/156*c**4 + 0*c**3 - 21 - 4*c**2. Suppose g(i) = 0. What is i?
-11, 0
Suppose 2 + 4 = -2*o, -4*g - 3*o = 1. Suppose -w + 4 = -0. Factor -3*a**3 + 5*a**5 - 2*a**3 + g*a**4 - 7*a**w + 5*a**2.
5*a**2*(a - 1)**2*(a + 1)
Let q be (1/(-5) - 363/(-165))/1. Suppose 175*z**3 - 51*z**4 - 80*z**q + 99*z**5 - 106*z**5 + 27*z**2 + 20 + 12*z - 62*z**2 - 34*z**2 = 0. Calculate z.
-10, -2/7, 1
Let s(f) be the third derivative of 65*f**2 + 1/400*f**6 - 1/3360*f**8 - 2*f + 0 + 1/1050*f**7 - 1/150*f**5 - 1/60*f**4 + 0*f**3. Factor s(d).
-d*(d - 2)**2*(d + 1)**2/10
Let p be 2204/114*9*(-10)/(-420). Determine x so that 1/7*x**3 - p*x + 13/7*x**2 + 15/7 = 0.
-15, 1
Factor 3/5*g**3 - 3*g**2 - 132/5*g - 36.
3*(g - 10)*(g + 2)*(g + 3)/5
Let r(n) be the third derivative of n**7/420 + 3*n**6/80 + n**5/5 + 5*n**4/12 - 1010*n**2. Factor r(b).
b*(b + 2)**2*(b + 5)/2
Let o = -2 + 4. Suppose 65*s + 190 = 84*s. Let -11 + s - 5*r**o - 5*r + 7 + 4 = 0. What is r?
-2, 1
Let g(p) be the third derivative of p**5/300 - 439*p**4/30 + 385442*p**3/15 + 817*p**2. Determine b, given that g(b) = 0.
878
Let l = -94 + 98. Let -5*o - 10*o**2 + 20*o**3 - 34*o**l - 16*o**4 + 60*o**4 - 15*o**5 = 0. Calculate o.
-1, -1/3, 0, 1
Let g(k) be the first derivative of 169*k**6/150 - 221*k**5/75 + 28*k**4/15 - 8*k**3/15 + 14*k**2 - 97. Let w(v) be the second derivative of g(v). Factor w(a).
4*(a - 1)*(13*a - 2)**2/5
Let m(i) = 4*i**2 + 44*i - 44. Let n(s) = s**2 - 27*s + 125. Let h be n(21). Let g(r) = -r**2 - r. Let b(z) = h*m(z) - 2*g(z). Factor b(q).
-2*(q - 1)*(q + 22)
Let l = -174462 - -174466. Solve -33/2*n**2 + 3/2*n**5 + 9/2*n**l + 0 - 9/2*n**3 - 9*n = 0 for n.
-3, -1, 0, 2
Let d(n) be the second derivative of 12005*n**4/12 + 8330*n**3/3 + 2890*n**2 + 522*n + 2. Factor d(k).
5*(49*k + 34)**2
Factor 2/3*n**3 - 68/3*n - 16 - 6*n**2.
2*(n - 12)*(n + 1)*(n + 2)/3
Let h(a) be the third derivative of a**7/735 + 9*a**6/14 - 181*a**5/70 + 68*a**4/21 - 5*a**2 + 3*a - 80. Factor h(u).
2*u*(u - 1)**2*(u + 272)/7
Let b be (-304831)/(-138) + (-26)/(-156). Let s = b - 2209. Factor -8/23*t - s*t**2 + 10/23.
-2*(t - 1)*(t + 5)/23
Suppose -2034*i**4 - 936 - 9*i**5 + 4143*i**4 + 228*i + 1626*i**2 - 1101*i**3 - 1917*i**4 = 0. Calculate i.
-2/3, 1, 2, 6, 13
Let r(d) be the third derivative of 1/60*d**5 + 2/3*d**3 - 4*d**2 - 1/420*d**7 - 1/4*d**4 + 21 + 1/80*d**6 + 0*d. Suppose r(x) = 0. Calculate x.
-2, 1, 2
Let l(q) be the first derivative of 25 + 4/9*q**3 - 4/3*q**2 + 4/3*q. Factor l(h).
4*(h - 1)**2/3
Let p(q) = 3*q**2 - q - 2. Let u(a) = 15*a**2 + 312*a - 327. Let x(l) = -6*p(l) + u(l). Factor x(m).
-3*(m - 105)*(m - 1)
Factor -89/2*k**3 + 46*k**2 - 1/2*k**4 + 90*k + 0.
-k*(k - 2)*(k + 1)*(k + 90)/2
Let -2/9*f**4 - 5195568*f**2 - 6837367488*f - 3374240855328 - 5264/3*f**3 = 0. What is f?
-1974
Let t(m) be the first derivative of 76 - 1176*m**2 - 43904*m - 1/16*m**4 - 14*m**3. Solve t(u) = 0.
-56
Let d(t) be the third derivative of -7*t**6/1140 - 373*t**5/570 + 535*t**4/114 + 112*t**3/19 + 30*t**2 + 28. What is s in d(s) = 0?
-56, -2/7, 3
Let m(r) be the first derivative of -r**3/9 - 308*r**2/3 - 94864*r/3 + 4571. Factor m(k).
-(k + 308)**2/3
Let r = -9 + 12. Let g = 482 + -482. Factor 1/3*y**2 + 1/6*y + g + 1/6*y**r.
y*(y + 1)**2/6
Let s(x) be the third derivative of -x**5/30 + 16*x**4/3 + 65*x**3/3 - 7*x**2 - 11*x. Factor s(g).
-2*(g - 65)*(g + 1)
Suppose 7*j + 14 = -0. Let u = j - -27. What is g in 35*g**5 - 62*g**2 + 80*g - 64*g**2 - u*g**4 + 131*g**2 + 20 - 115*g**3 = 0?
-1, -2/7, 1, 2
Let s(v) be the second derivative of -v**5/60 - 65*v**4/4 - 14308*v**3/3 - 42632*v**2/3 + 2*v + 25. Solve s(l) = 0 for l.
-292, -1
What is a in 25/3*a**2 - a**3 + 59/3*a + 31/3 = 0?
-1, 31/3
Let j(k) be the first derivative of -k**4/44 - 196*k**3/33 + 601*k**2/22 + 796*k/11 - 1265. Suppose j(a) = 0. Calculate a.
-199, -1, 4
Solve 34875*p + 3774*p**3 + 18385*p**2 + 6250 + 22*p**4 - 6813*p**3 + 4344*p**3 + 3*p**4 = 0.
-25, -2, -1/5
Let i(v) be the second derivative of -v**4/6 - 2212*v**3/3 + 11*v - 180. Factor i(y).
-2*y*(y + 2212)
Let b(m) = -15*m**2 - m. Let n(i) = 46*i**2 - 504*i - 1530. Let t(z) = 6*b(z) + 2*n(z). Find o such that t(o) = 0.
-3, 510
Let k = -35 + 37. Let x(s) = 3*s**2 + 4*s - 5. Let z be x(1). Let -y**k + y**2 - 7*y - 3*y**z + 19*y = 0. What is y?
0, 4
Let n be (131/(-217) - 183/(-5673))/(2/(-12)). Factor -2/7*g**2 + n*g - 64/7.
-2*(g - 8)*(g - 4)/7
Let r(i) be the first derivative of 1/10*i**5 + 0*i - 71 + 1/12*i**3 + 3/16*i**4 + 0*i**2. Let r(b) = 0. Calculate b.
-1, -1/2, 0
Let n be (-2)/6 - (-82)/(-123). Let g be ((-200)/(-15) + 0)*n/(-4). Factor -6*a**2 + 8*a**3 + 0 + 4/3*a - g*a**4.
-2*a*(a - 1)**2*(5*a - 2)/3
Find h such that 2*h**2 - 20*h**5 + 31 - 387*h**4 + 11*h**3 - 31 + 394*h**4 = 0.
-2/5, -1/4, 0, 1
Let r(z) be the third derivative of z**6/40 + 108*z**5/5 + 7776*z**4 + 1492992*z**3 - 2742*z**2. Factor r(l).
3*(l + 144)**3
Let i(o) = 44*o**2 - 19368*o + 19856. Let h(z) = -8*z**2 + 3523*z - 3610. Let w(c) = -28*h(c) - 5*i(c). Determine j so that w(j) = 0.
1, 450
Suppose 2*l = z - 7, 17 = -5*l - 4*z - 7. Let k be (6/l)/(15/(-20)). Factor -6*v + 7*v**k - 17*v**2 + 6*v**2 + v**2.
-3*v*(v + 2)
Let m be ((-6)/8)/((-2)/8). Let g be 5 - ((-24)/80)/(1*2/(-20)). Factor -33*r**g + 7*r**5 + 16*r**4 - 12*r**3 - m*r**5 - 39*r**2.
4*r**2*(r - 2)*(r + 3)**2
What is k in 7*k**2 + 12*k**3 - 21*k**2 + 7*k**2 + 3*k**4 - 7*k**4 + 12 + 15*k**2 - 26*k - 2*k**5 = 0?
-3, -2, 1
Suppose 0 = 34*n - 35*n + i - 2, -5*n - 6 = -4*i. Factor 8/3*w**n - 2/3*w - 2/3*w**3 - 4.
-2*(w - 3)*(w - 2)*(w + 1)/3
Factor 1438*r**3 + 443*r**4 - 3826*r**3 - 408842*r**2 + 444*r**4 - 31522396*r - 66370*r**2 - 891*r**4.
-4*r*(r + 199)**3
Suppose -3*n - 5*s + 13 = n, 0 = n + 3*s - 5. Let y(t) be the first derivative of -1/12*t**4 - 11 + 2/3*t**n - 4/3*t + 1/9*t**3. Factor y(z).
-(z - 2)*(z - 1)*(z + 2)/3
Let b(r) be the second derivative of 60/11*r**2 + 1/55*r**6 + 2 - 6/55*r**5 - 9/22*r**4 + 5*r + 16/11*r**3. Suppose b(a) = 0. What is a?
-2, -1, 2, 5
Let a(h) be the third derivative of 0*h - 6 - 1/48*h**6 + 1/36*h**5 + 0*h**4 - 12*h**2 + 0*h**3 + 1/252*h**7. Factor a(b).
5*b**2*(b - 2)*(b - 1)/6
Let o(s) = -2*s**2 - 20*s - 29. Let k be o(-16). Let a be k/(-306) + 2/(-9). Factor -3/2*b + 0 - a*b**2.
-b*(b + 3)/2
Let a(w) = -3*w**4 - 46*w**3 + 317*w**2 + 1592*w + 1760. Let b(g) = g**4 + 2*g**3 - 10*g**2 + g + 1. Let y(f) = -a(f) - 4*b(f). Factor y(h).
-(h - 21)**2*(h + 2)**2
What is q in -14279*q**2 + 2208*q**3 - 6976*q**2 - 114*q**4 - 34848 + 2*q**5 + 4375*q**2 + 49632*q = 0?
1, 6, 22
Let n(v) be the third derivative of -147*v**3 + 0*v - 7/4*v**4 + 6*v**2 - 1/120*v**5 + 3. Factor n(h).
-(h + 42)**2/2
Let i be 25/10 - (12/(-8) + 1). Factor i*x**2 - 7*x**2 - 16 - 455*x + 421*x.
-2*(x + 8)*(2*x + 1)
Let d(w) be the second derivative of 0 + 2/15*w**6 - 2/5*w**5 + 0*w**2 - 8/3*w**3 - 7/3*w**4 - 104*w. Factor d(p).
4*p*(p - 4)*(p + 1)**2
Let h = 1732 + -1730. Let r = -2 - -5. Factor -21/2*k**r + 21/2*k - 3*k**h + 3.
-3*(k - 1)*(k + 1)*(7*k + 2)/2
Let a(x) be the third derivative of -x**5/20 + 7*x**4/2 - 48*x**3 - 517*x**2. Factor a(n).
-3*(n - 24)*(n - 4)
Suppose 32*d - 1347 = 29*d. Let a = -446 + d. Factor r + 1/2 - 1/2*r**4 + 0*r**2 - r**a.
-(r - 1)*(r + 1)**3/2
Let g(v) = 5*v**2 + 5*v - 1. Let f = -184 - -181. Let z(p) = 13*p**2 + 15*p - 4. Let t(n) = f*z(n) + 8*g(n). Factor t(b).
(b - 4)*(b - 1)
Factor 44651250*v + 3/2*v**3 - 46883812500 - 14175*v**2.
3*(v - 3150)**3/2
Let h = 36412 - 36398. Factor 40/7 + 288/7*r + h*r**3 + 78*r**2.
2*(r + 5)*(7*r + 2)**2/7