2. Factor u(m).
-3*(m + 1)**2*(m + 11)
Let g(j) = -4*j**2 + 2*j - 1. Let z(m) = -21*m**2 - m + 7. Let a(s) = 5*g(s) - z(s). Factor a(u).
(u - 1)*(u + 12)
Let j be 6/(-51) + 159/51 + 1. Suppose 11 = -5*g - a + 46, -5*g - j*a = -50. Factor -g - 11*u + 2*u**2 + 16*u - 9*u.
2*(u - 3)*(u + 1)
Let l = -13 + 33. Let c be (-66)/(-15) - l/50. Factor 6*r**4 - 5*r**3 - 11*r**c + 15*r**3.
-5*r**3*(r - 2)
Let c be (-112)/(-8)*(-3)/(42/(-4)). Let c*n**2 - 53 - 9*n + 41 + 7*n = 0. What is n?
-3/2, 2
Factor 738 + 552 + 52*t + 273*t + 3*t**2 - 91*t - 402.
3*(t + 4)*(t + 74)
Let p(g) be the second derivative of g**4/90 + 37*g**3/45 + 14*g**2 + 89*g + 5. Factor p(c).
2*(c + 7)*(c + 30)/15
Let h(w) = -19028*w + 76115. Let k be h(4). Factor -7/10*a - 1/10*a**k + 3/10 + 1/2*a**2.
-(a - 3)*(a - 1)**2/10
Let a be (0 - (-26251114)/20)/(961580/40). Let k = a + 2/48079. Suppose 536/5*h**3 + 49/5*h**5 - 16/5 - k*h**4 - 88*h**2 + 144/5*h = 0. Calculate h.
2/7, 1, 2
Factor 128*f - 375*f**2 - 538*f**3 + 543*f**3 + 257*f - 95*f + 80*f.
5*f*(f - 74)*(f - 1)
Let f(q) be the first derivative of 5*q**3/3 + 255*q**2/2 + 1150*q - 1225. Solve f(g) = 0 for g.
-46, -5
Let v(u) be the second derivative of u**7/840 + u**6/96 - u**5/240 - 5*u**4/96 + 103*u**2/2 + 28*u - 1. Let i(t) be the first derivative of v(t). Factor i(j).
j*(j - 1)*(j + 1)*(j + 5)/4
Let f(g) be the third derivative of g**7/70 - 7*g**6/5 - 124*g**2 + 10*g. Factor f(v).
3*v**3*(v - 56)
Let k be 1/(-2)*(-4)/10*10. Factor 0 - 1/10*r**4 + 1/10*r**k + 0*r**3 + 0*r.
-r**2*(r - 1)*(r + 1)/10
Suppose 0 = -8*u - 0*u + 32. Factor 9*j**2 - 7*j**4 + u*j**4 + 70*j**3 + 54*j**2 - 10*j**3.
-3*j**2*(j - 21)*(j + 1)
Let w(a) be the third derivative of 5*a**8/336 - a**7/21 - 19*a**6/4 - 54*a**5 - 2385*a**4/8 - 945*a**3 + 1172*a**2. Factor w(x).
5*(x - 14)*(x + 3)**4
Let q(b) be the third derivative of b**6/60 - b**5/30 + b**3/3 - 22*b**2. Let d be q(1). Factor -2*j**d + 14*j - 19*j - 3*j**2.
-5*j*(j + 1)
Let j(p) be the second derivative of -7*p**4/54 - 95*p**3/27 - 52*p**2/9 - p + 245. Factor j(n).
-2*(n + 13)*(7*n + 4)/9
Let s(w) be the third derivative of -w**7/140 - 131*w**6/80 - 513*w**5/40 - 637*w**4/16 - 127*w**3/2 + w**2 + 1755. Find d, given that s(d) = 0.
-127, -2, -1
Let i(v) be the third derivative of v**8/2240 - 23*v**7/1680 - v**6/30 + v**5/30 + 65*v**4/24 + 45*v**2. Let h(n) be the third derivative of i(n). Factor h(y).
3*(y - 8)*(3*y + 1)
Let -316/3 - 794/3*k - 4/3*k**3 - 326/3*k**2 = 0. What is k?
-79, -2, -1/2
Let u(r) be the first derivative of 0*r - 2/15*r**5 - 109 + 0*r**2 + 1/6*r**4 + 4/9*r**3. Find q such that u(q) = 0.
-1, 0, 2
Let i be ((-53)/(-2968))/(7/28). Let w(c) be the second derivative of i*c**3 + 1/7*c**2 + 0 + 1/84*c**4 + 33*c. Let w(h) = 0. Calculate h.
-2, -1
Let y(n) be the first derivative of -n**4/2 - 24*n**3 + 76*n**2 + 1891. Factor y(g).
-2*g*(g - 2)*(g + 38)
Determine d so that 6/11*d**2 - 10/11*d**3 - 8/11 + 2/11*d**4 + 10/11*d = 0.
-1, 1, 4
Let j(h) be the first derivative of 5*h**4/12 + 34*h**3/3 - 14*h**2 - 44*h - 25. Let u(p) be the first derivative of j(p). Factor u(r).
(r + 14)*(5*r - 2)
Let x(n) be the first derivative of n**4/18 - 148*n**3/27 + 349*n**2/9 - 184*n/3 + 2882. Factor x(g).
2*(g - 69)*(g - 4)*(g - 1)/9
Let o(r) be the first derivative of -r**6/33 + 6*r**5/55 + 30*r**4/11 - 448*r**3/33 - 8602. Let o(x) = 0. What is x?
-8, 0, 4, 7
Let c(x) be the first derivative of -4*x**5/5 + 9*x**4 - 32*x**3/3 + 1081. Factor c(u).
-4*u**2*(u - 8)*(u - 1)
Let v = -10/203 + 962/3045. Let i(p) be the second derivative of 3/5*p**5 + 1/3*p**3 - 2/3*p**4 - v*p**6 + 1/21*p**7 + 0 + 0*p**2 - 3*p. Factor i(j).
2*j*(j - 1)**4
Let g(s) be the second derivative of -s**4/18 + 14*s**3/3 - 39*s**2 + 180*s. Let g(j) = 0. What is j?
3, 39
Let m(y) be the first derivative of 3*y - 3/40*y**5 + 11 - 1/2*y**3 + 3/8*y**4 + 0*y**2. Let r(u) be the first derivative of m(u). Solve r(n) = 0.
0, 1, 2
Suppose 4*k - 3 = -5*y, -y + 1 + 5 = -k. Factor -5*t**y + 26*t**2 + 15*t**2 - 2*t**2 + t**2 + 30*t**2.
-5*t**2*(t - 14)
Suppose -7*y = 6*y + 3 - 81. Let m(c) be the second derivative of 0*c**2 + 0 - 3/5*c**5 + 38*c - 1/10*c**y - 5/4*c**4 - c**3. Let m(a) = 0. Calculate a.
-2, -1, 0
Suppose -561*f + 47*f**2 + 24*f - 463*f + 48*f**2 + 2160 + 5*f**3 = 0. Calculate f.
-27, 4
Let w = 3534 - 3532. Let o(q) be the second derivative of 0 - 9/4*q**w + 1/8*q**4 + 8*q - 1/2*q**3. Find b such that o(b) = 0.
-1, 3
Let c = -220416 + 661268/3. Let c + 2/3*d**2 + 14/3*d = 0. Calculate d.
-5, -2
Let 373975*k**2 - 373974*k**2 + 1053*k + 4034872 + 648024 - 1456*k - 3925*k = 0. Calculate k.
2164
Suppose -40*m - 515 - 1565 = 0. Let k be ((-65)/m)/((-15)/(-24)). Factor 2/9*o + 2/9*o**k - 4/3.
2*(o - 2)*(o + 3)/9
Let o(m) be the second derivative of -m**7/168 - 3*m**6/20 - 3*m**5/4 - 7*m**4/6 - 5327*m. Factor o(h).
-h**2*(h + 2)**2*(h + 14)/4
Let y be 206304/3070 - 268/4. Factor -11/5 + y*u**2 + 2*u.
(u - 1)*(u + 11)/5
Let x(r) be the first derivative of 1/3*r**2 + 1/5*r**5 - 1/18*r**6 + 115 + 0*r - 1/3*r**3 - 1/12*r**4. Suppose x(t) = 0. Calculate t.
-1, 0, 1, 2
Suppose -11*b + 3*l - 29 = -33*b, -3*l - 81 = -66. Suppose 0 - 2/3*m**3 - b*m**4 + 2*m**2 + 0*m + 2/3*m**5 = 0. Calculate m.
-1, 0, 1, 3
Let s(d) be the first derivative of 5*d**3/3 + 165*d**2/2 + 310*d - 262. Suppose s(h) = 0. Calculate h.
-31, -2
Suppose n - 3*n - 11 = 3*z, 4*n = -z + 3. Let f be ((-36)/8 + n)*-4. What is g in 11 + f*g**3 - 57*g**2 - 14*g**4 + 9 - 48*g**2 + 40*g + 49*g**4 = 0?
-2, -2/7, 1
Let t(s) = 48*s**3 - 448*s**2 + 2184*s - 2520. Let n(g) = 7*g**3 - 64*g**2 + 313*g - 360. Let f(q) = 20*n(q) - 3*t(q). Factor f(l).
-4*(l - 9)*(l - 5)*(l - 2)
Let q(y) be the third derivative of -1/12*y**4 + 186*y**2 + 1/210*y**7 + 1/12*y**5 + 0*y**3 - 1/30*y**6 + 0 + 0*y. Factor q(w).
w*(w - 2)*(w - 1)**2
Suppose 0 = 5*d - 4*s - 54, -d - 4*s - 14 = -44. Suppose d*v + 5*v + 0*v = 0. Find u such that 0 + 5/8*u**4 - 3/2*u**5 + 0*u**2 + v*u + 1/4*u**3 = 0.
-1/4, 0, 2/3
Find m such that 0 + 4/3*m**3 + 896/3*m**2 + 50176/3*m = 0.
-112, 0
Let f(y) be the first derivative of -2*y**5/35 + 8*y**4/7 + 192*y**3/7 - 6912*y**2/7 + 69120*y/7 - 13793. Solve f(u) = 0 for u.
-20, 12
Let k(u) = -8*u**2 + u + 2. Let v(p) = 44*p**2 - 82*p - 324. Let x(d) = -6*k(d) - v(d). Solve x(n) = 0.
-13, -6
Let m(b) = -20*b**2 - 476*b + 1613. Let v be m(3). Find n, given that -38/9*n**4 - 212/9*n**3 + 1078/9*n - 686/9 - 140/9*n**2 - 2/9*n**v = 0.
-7, 1
Let l(n) = -6*n**3 - 11*n**2 + 813*n + 3797. Let q(o) = -15*o**3 - 28*o**2 + 2034*o + 9490. Let s(x) = -13*l(x) + 5*q(x). Let s(b) = 0. What is b?
-7, 13
Let o(i) = 5*i + 5*i**3 - 3*i**2 - 9*i**2 - 22*i. Let x(f) = -f**2 - f. Let h(m) = -m**2 + 8*m - 1. Let z be h(0). Let q(c) = z*o(c) + 2*x(c). Factor q(g).
-5*g*(g - 3)*(g + 1)
Factor -134*v + 920971 - 920311 + 10*v**2 - 6*v**2.
2*(v - 6)*(2*v - 55)
Let x(i) be the second derivative of -126 + 1/24*i**3 + i - 13/24*i**4 - 1/80*i**5 + 13/4*i**2. Factor x(n).
-(n - 1)*(n + 1)*(n + 26)/4
Suppose -23*k + 4*k - 19*k = -0*k. Let p be -3*3/9 - -4. What is j in k + 4/11*j - 6/11*j**2 + 2/11*j**p = 0?
0, 1, 2
Let j be -1 + -13 - (-37 + 35). Let m be (j/(-54) - (-96)/54)/1. Suppose 1/4*r**m + 7/8*r - 1/2 = 0. What is r?
-4, 1/2
Let c(s) = -2*s**2 + 4*s - 1. Let q(o) be the first derivative of 1/2*o**2 + o - 7 + 1/3*o**3. Let z(j) = 4*c(j) + 4*q(j). What is r in z(r) = 0?
0, 5
Let a(d) be the third derivative of d**5/20 - 271*d**4/8 + 135*d**3 - 1122*d**2 - 1. Solve a(m) = 0.
1, 270
Let i(y) be the first derivative of -y**3 + 0*y - 3/4*y**4 - 210 + 3/5*y**5 + 3/2*y**2. Factor i(c).
3*c*(c - 1)**2*(c + 1)
Let t(h) = -2*h**2 - 15*h - 17. Let a be t(-6). Suppose 6*b - 13 + a = 0. What is n in -16*n + 3 + 13*n**b - 3 - 17*n**2 = 0?
-4, 0
Let 15*l**2 + 1116 + 9*l**2 - 280*l - 34*l**2 - 272*l + 7*l**2 = 0. Calculate l.
-186, 2
Suppose 4*a - 2 = 22. Suppose -2*j = -10, a*q - 3*q = 2*j + 17. Factor -16*x - 20*x - 6*x**2 + 108 + q*x**2.
3*(x - 6)**2
Let l(w) be the first derivative of -w**6/33 + 2*w**5/55 + 17*w**4/11 + 124*w**3/33 - 3*w**2 - 126*w/11 - 11567. Let l(c) = 0. What is c?
-3, -1, 1, 7
Suppose 3*k = 3*j + 4*k + 2, -2*j = 4*k - 2. Let w be 48/(-6)*(j + 62/(-4)). Factor -60*u**2 - 36*u + 144*u + w*u - 252 - 68 + 5*u*