 + 4. Let u(d) = 3*f(d) + k(d). Factor u(n).
(n - 293)**2*(n + 1)
Factor 48 + 10*w + 1/2*w**2.
(w + 8)*(w + 12)/2
Let c be (-488)/(-10) + (-25)/(-79 + 204). Suppose c*u**2 + 6/5*u + 0 = 0. Calculate u.
-2/81, 0
Let l(r) be the first derivative of -1/16*r**4 + 5/4*r**2 - 19 - 7/12*r**3 + 4*r. Let l(g) = 0. Calculate g.
-8, -1, 2
Suppose -3*w = -7*w + 40. Find m such that -7*m**2 - 3*m**2 + 21*m**2 + 16*m - w*m**2 + 15 = 0.
-15, -1
Let y(p) be the third derivative of -p**6/540 - p**5/90 + 5*p**4/12 - 85*p**3/6 + p**2 + 6*p. Let x(c) be the first derivative of y(c). Factor x(q).
-2*(q - 3)*(q + 5)/3
Let v = 340467 - 340466. Factor -2/3*y - v + 1/3*y**2.
(y - 3)*(y + 1)/3
Let w(i) = -i**3 + 566*i**2 - 578*i - 1120. Let h(k) = 2*k**3 - 1696*k**2 + 1732*k + 3360. Let t(u) = -5*h(u) - 14*w(u). What is c in t(c) = 0?
-140, -1, 2
Let x be (-12)/16 - -3*(-8524)/(-48). Let l = 4261/8 - x. Determine h so that -7/8*h**3 - 1/8*h**2 + 1/4*h**5 + l*h + 1/4 - 1/8*h**4 = 0.
-1, -1/2, 1, 2
Let s(f) be the second derivative of 166*f - 4/7*f**3 - 2/21*f**4 + 0*f**2 + 0 + 1/70*f**5. Factor s(j).
2*j*(j - 6)*(j + 2)/7
Let f = 783786 + -1567545/2. Suppose -27/2 - 3/2*b**5 - f*b**4 + 3*b**3 + 27*b**2 - 3/2*b = 0. Calculate b.
-9, -1, 1
Factor 600608/7 - 2192/7*j + 2/7*j**2.
2*(j - 548)**2/7
Let a(q) = -17*q**2 - 2040*q - 346793. Let p(i) = 12*i**2 + 1360*i + 231195. Let y(w) = 5*a(w) + 7*p(w). Factor y(c).
-(c + 340)**2
Let y(s) be the first derivative of s**7/45 - 29*s**6/90 + 64*s**5/45 - 8*s**4/9 + 8*s**2 + 45. Let f(u) be the second derivative of y(u). Factor f(z).
2*z*(z - 4)**2*(7*z - 2)/3
Let w = 4682 + -2895. Factor -279*l + 1590*l**2 + 8 + 1213*l**4 + 27*l - 3725*l**3 + w*l**4.
(5*l - 2)**3*(24*l - 1)
Let p = -3471 - -3474. Let j(l) be the second derivative of l**2 + 0 - 3*l + 1/24*l**4 + 1/3*l**p. Solve j(d) = 0.
-2
Let j be 112/54 - (-16)/(-216). Let u be 3*3/(18/14). Factor -14*z**2 + 2 + 64*z**4 - 96*z**3 + u*z**j + 11*z**2 + 2 + 24*z.
4*(z - 1)**2*(4*z + 1)**2
Let w = -1077553 - -9698017/9. What is j in w*j - 32/9 + 16/3*j**2 + 2/9*j**3 - 4/9*j**4 = 0?
-2, 1/2, 4
Let i be 1 - 15 - (21 - 37). Suppose 4*t**3 + 21*t**5 - 89/2*t**4 + 0*t + 2*t**i + 0 = 0. What is t?
-1/6, 0, 2/7, 2
Suppose 3*w - 35 + 6 = -m, 3*m + 4*w - 67 = 0. Let x = m + -15. Determine d so that -d**x + 44 - 25 - 19 = 0.
0
Suppose -1026 + 1137 = 37*c. Let w(f) be the second derivative of -2/9*f**4 - c*f + 4/3*f**2 + 0 + 2/9*f**3 - 1/15*f**5. Factor w(m).
-4*(m - 1)*(m + 1)*(m + 2)/3
Let c(g) be the first derivative of -2*g**3/9 - 64*g**2/3 - 2048*g/3 + 166. Find n such that c(n) = 0.
-32
Let p be 2 + 24/(-35) - (-34)/85. Suppose -15/7*g**2 + 6/7*g + 0 - 3/7*g**4 + p*g**3 = 0. Calculate g.
0, 1, 2
Let v(j) be the second derivative of -j**6/6 - 21*j**5/2 - 245*j**4/12 + 6860*j**3 - 96040*j**2 + 1079*j. Find p such that v(p) = 0.
-28, 7
Let o(v) be the first derivative of v**5/15 - 5*v**4/6 + 4*v**3/3 + 29*v**2/3 + 35*v/3 - 3545. Factor o(l).
(l - 7)*(l - 5)*(l + 1)**2/3
Factor 37*v**3 + 0*v + 0 + 1/3*v**4 - 112/3*v**2.
v**2*(v - 1)*(v + 112)/3
Let h(x) be the second derivative of x**6/345 + x**5/115 - 19*x**4/138 + 28*x**3/69 - 12*x**2/23 - 20*x + 8. Determine w so that h(w) = 0.
-6, 1, 2
Let o be (-18)/(-12)*(340 + -341 - 74/(-66)). Find t such that o*t + 12/11 - 2/11*t**5 + 8/11*t**4 - 20/11*t**2 + 0*t**3 = 0.
-1, 1, 2, 3
Let f(s) = -s**3 + 2*s**2 + s - 1. Let q be f(2). Let b be q/5 - (-209)/55. Suppose -102*h**b - 5*h**2 + 3*h**2 + 5*h**3 + h**5 + 98*h**4 = 0. What is h?
0, 1, 2
Let a(u) be the second derivative of 5*u**4/24 + 45*u**3 - 5*u - 73. Factor a(s).
5*s*(s + 108)/2
Suppose -30*z = 150*z - 40*z + 61*z. Let x(w) be the second derivative of 1/6*w**3 + 0 + 1/36*w**4 + z*w**2 + 24*w. Solve x(r) = 0 for r.
-3, 0
Let p be -2 + 7*5/5. Factor -18 - 1998*j**2 - 38*j + 1983*j**2 + p*j**4 + 5*j**3 + 13*j + 8.
5*(j - 2)*(j + 1)**3
Suppose -f - 2 = 0, 5*t + 14*f = 15*f - 18. Let q be (-8)/(256/(-88)) + t/16. Suppose -3 + q*j - 1/2*j**2 = 0. What is j?
2, 3
Let d(k) = 17*k**3 + 3263*k**2 - 400*k + 25. Let s(q) = -4*q**3 - 816*q**2 + 96*q - 6. Let j(b) = 6*d(b) + 25*s(b). Find o, given that j(o) = 0.
0, 411
Factor -182/9*p**2 + 4/9*p**3 + 608/3*p + 640.
2*(p - 24)**2*(2*p + 5)/9
Let n(b) be the first derivative of -b**7/672 - 3*b**6/160 + 3*b**5/80 - 2*b**3/3 + 37*b**2/2 - 28. Let h(u) be the third derivative of n(u). Factor h(x).
-x*(x + 6)*(5*x - 3)/4
Let b = -313254 + 313257. Factor -72/5 - 243/5*q**b - 1566/5*q**2 - 132*q.
-3*(q + 6)*(9*q + 2)**2/5
Let z(h) be the first derivative of -h**5/80 - 3*h**4/32 - h**2/2 + 33*h - 68. Let s(f) be the second derivative of z(f). Suppose s(t) = 0. What is t?
-3, 0
Let h(c) be the second derivative of 56*c**2 + 1/5*c**5 - 13/3*c**4 + 0 + 110*c - 32/3*c**3. Factor h(s).
4*(s - 14)*(s - 1)*(s + 2)
What is z in -2*z**3 - 3*z**3 - 648111 + 647391 + 712*z + 3*z**3 - 172*z**2 = 0?
-90, 2
Let g(x) be the first derivative of 5*x**7/126 - 2*x**6/9 - x**5/6 + 5*x**4/3 + 5*x**3/2 + 148*x + 26. Let s(a) be the first derivative of g(a). Factor s(z).
5*z*(z - 3)**2*(z + 1)**2/3
Let u(z) be the second derivative of 10*z**7/147 + 202*z**6/35 + 4668*z**5/35 + 1984*z**4/21 - 7040*z**3/7 + 7200*z**2/7 - 6*z - 151. Solve u(m) = 0 for m.
-30, -2, 2/5, 1
What is i in 10/9*i**5 - 46/9*i**3 + 0 + 8/3*i + 4/9*i**4 - 16/9*i**2 = 0?
-2, -1, 0, 3/5, 2
Let c(b) = -28*b + 4. Let y(d) = 23*d - 3. Let x(k) = -5*c(k) - 6*y(k). Let s(r) = -r**2 + 19*r + 4. Let a(m) = -s(m) + 4*x(m). What is o in a(o) = 0?
-1, 12
Let m = -4/6181 - -18583/61810. Let y(w) be the first derivative of 3/2*w**2 + 8 + 0*w + m*w**5 - 1/2*w**3 - 3/4*w**4. Factor y(x).
3*x*(x - 2)*(x - 1)*(x + 1)/2
Determine h, given that -17225387 - 3565*h - 5477*h - 3214054 - 2*h**2 + h**2 = 0.
-4521
Let b = 5/6 + -2369/2850. Let i = b - -941/4275. Factor -4/9*y**3 + 4/9*y + i*y**4 - 2/9 + 0*y**2.
2*(y - 1)**3*(y + 1)/9
Let h(q) be the third derivative of -1/2*q**4 + 1/3*q**5 + 0*q - 60*q**2 - 6*q**3 - 1/30*q**6 + 0. Factor h(t).
-4*(t - 3)**2*(t + 1)
Factor -55 + 445/2*g - 10*g**2.
-5*(g - 22)*(4*g - 1)/2
Let h be 3 - (-86 - -86 - (-2 - -1)). Suppose -3/4*v**5 + 3/2*v**4 - 3/2*v**h + 3/4*v**3 + 0 + 0*v = 0. Calculate v.
-1, 0, 1, 2
Let n(s) be the first derivative of -2*s**3/51 + 318*s**2/17 - 50562*s/17 - 55. Factor n(y).
-2*(y - 159)**2/17
Factor -826*a - 119195 + 2*a**3 - 38*a**2 + 58737 + 57224.
2*(a - 33)*(a + 7)**2
Suppose -19*t + 68 + 179 = 0. Factor 12*r**2 - 72*r + 27*r - t + 1.
3*(r - 4)*(4*r + 1)
Let q(l) = -17*l - 128. Let g be q(-16). Let u = 303/2 - g. Factor u*d + 3/2*d**2 + 9.
3*(d + 2)*(d + 3)/2
Let l(b) be the first derivative of -3*b**4/4 + 313*b**3 - 36972*b**2 + 73008*b + 597. Let l(q) = 0. Calculate q.
1, 156
Let g(p) be the third derivative of p**8/1344 + p**7/70 + 19*p**6/480 - p**5/20 - 5*p**4/24 + 12*p**2 - 20*p. Let g(o) = 0. Calculate o.
-10, -2, -1, 0, 1
Let w be (-18)/(-8) - (-119)/68. Let i(v) be the second derivative of -w*v - 5/3*v**3 + 0 - 5/12*v**4 + 0*v**2. Factor i(g).
-5*g*(g + 2)
Suppose -19*j**4 - 1611*j**2 - 12*j**3 - 195*j**3 - 8*j**4 + 1320*j**2 - 129*j - 18 = 0. Calculate j.
-6, -1, -1/3
Let r be -11 - (-20 + 438/584 + 42/8). Factor -2*l**4 - 3/4*l**5 + 0*l**2 + 0 + 1/4*l - 3/2*l**r.
-l*(l + 1)**3*(3*l - 1)/4
Let o be ((-10)/6 + ((-186)/3)/(-31))*12. Factor -4/5*p**2 - 24/5*p + 8/5*p**3 + 18/5 + 2/5*p**o.
2*(p - 1)**2*(p + 3)**2/5
Let n(z) = -4*z**4 - 12*z**3 + 80*z**2 - 108*z + 46. Let c(i) = i**4 - i**3 - i**2 + i - 1. Let o(u) = -4*c(u) - 2*n(u). Suppose o(r) = 0. Calculate r.
-11, 1, 2
Let n(d) be the second derivative of d**7/84 + 29*d**6/60 + 5*d**5/8 - 85*d**4/24 - 13*d**3/6 + 14*d**2 + 4*d - 136. Determine v, given that n(v) = 0.
-28, -2, -1, 1
Let y(m) be the third derivative of -1463*m**4/12 - 2*m**3/3 - 11*m**2. Let v be y(-1). Find a such that -v - 24*a + 76*a**2 + 2922 + 28*a**3 = 0.
-3, 0, 2/7
What is v in 96/5 + 33/5*v**3 - 192/5*v - 3/5*v**5 + 78/5*v**2 - 12/5*v**4 = 0?
-4, 1, 2
Determine i, given that -1/5*i**3 + 9*i**2 + 704/5 - 438/5*i = 0.
2, 11, 32
Suppose -320 = -x - 318. Factor 11*j**3 - 16*j**3 - 16*j**x - 64*j + 4*j**3.
-j*(j + 8)**2
Suppose -5*h + 2*h = f - 1863, -9235 = -5*f + h. Let c be 6 + (f/36)/(-14). Factor -c + 1/3*p**2 - 2*p.
(p - 7)*(p + 1)/3
