*r**3 + 178*r**2 - 2*r. Factor g(z).
5*(z - 21)*(z - 2)**3*(z - 1)
Suppose -90 - 3862 = -4*m - 4*x, 0 = 2*m + 3*x - 1976. Let p be (-2)/(-3) + m/156. Factor -1/7*l**2 + 2*l - p.
-(l - 7)**2/7
Let l(o) = 10*o - 306. Let k be l(31). Determine y, given that -k*y**4 + y**4 - 72*y**2 - 5*y**2 + 44*y**3 - y**2 - 25*y**2 + 86*y - 24 = 0.
2/3, 1, 12
Let g be 5/4 - (-1517)/(-1204). Let v = 289/1204 - g. Factor 0*j - 1/8*j**3 + 0 + v*j**2.
-j**2*(j - 2)/8
Let j(u) = 33*u + 556. Let g(f) = 102*f + 1664. Let z(b) = -3*g(b) + 8*j(b). Let o be z(-13). Suppose -o*n**3 - 7*n + 5/2 - 23/2*n**2 = 0. Calculate n.
-5, -1, 1/4
Let k(o) = -2*o - 65. Let x be k(-34). Factor 4*i**3 + 3*i**2 - 7*i**x + 60*i**2.
-3*i**2*(i - 21)
Let o(z) be the first derivative of -25/3*z**6 - 48*z**5 + 21 - 492/5*z**2 - 57/2*z**4 + 144/5*z + 1996/15*z**3. Factor o(f).
-2*(f + 3)**2*(5*f - 2)**3/5
Let y = 16816099/1167785 - -1/233557. Factor 156/5*s + y + 5*s**3 + 22*s**2.
(s + 2)*(5*s + 6)**2/5
Let i(t) be the second derivative of -2*t**6/75 - 34*t**5/25 - 64*t**4/15 + t - 116. Determine p so that i(p) = 0.
-32, -2, 0
Let h(p) = -5*p**3 + 13*p**2 - 77*p + 61. Let l(x) = 29*x**3 - 67*x**2 + 386*x - 304. Let u(i) = -11*h(i) - 2*l(i). Let u(g) = 0. Calculate g.
-7, 1, 3
Let o be (-45)/120 + (0 - 129/(-24)). Factor q**5 - 20*q**3 + q - 18*q**4 + 3*q**o - q + 26*q**4 - 24*q**2.
4*q**2*(q - 2)*(q + 1)*(q + 3)
Let z(j) be the third derivative of 1/420*j**7 + 7*j + 1/120*j**6 - 1/6*j**4 - 1/40*j**5 - 1/3*j**3 + 0 + 4*j**2. Let z(h) = 0. Calculate h.
-2, -1, 2
Let q(u) be the second derivative of 5/36*u**3 + 1/2*u**2 - 1/72*u**4 + 0 - 14*u. Let q(s) = 0. What is s?
-1, 6
Let y be (-24)/(-45)*(9 + (11 - (-75)/(-9))). Find j, given that -20/9*j**3 - 50/3*j**4 + y*j + 8/9 + 106/9*j**2 = 0.
-2/5, -1/3, 1
Let q(t) = t**3 - 17*t**2 - 109*t - 7. Let a be q(22). Let v be 12/a - ((-118)/90 - 5). Find l, given that 16/9*l**3 - 16/3*l**2 + v*l - 2/9*l**4 - 32/9 = 0.
2
Let v(w) = -w**3 + 14*w**2 - 12*w - 23. Let q be v(13). Let r be 4 - 127/30 - q/25. Find c such that r*c**2 + 0*c**3 - 1/6*c**4 + 0 + 0*c = 0.
-1, 0, 1
What is y in 15*y**5 - 15*y**2 + 0*y**2 - 18*y**5 + 150*y - 99*y**3 - 33*y**4 = 0?
-5, -2, 0, 1
Let d(l) be the first derivative of l**5/20 - l**4/2 + 5*l**3/6 + 19*l + 56. Let s(t) be the first derivative of d(t). Let s(i) = 0. What is i?
0, 1, 5
Suppose 5*c + 2*n + 0 = 8, n = -c + 4. Let f be c*(-6)/30*(-2)/(-8). Factor f*q**3 + 2/5*q**4 + 0*q**2 + 0*q - 2/5*q**5 + 0.
-2*q**4*(q - 1)/5
Let a(c) be the third derivative of c**8/2520 - c**7/252 + c**6/90 + 14*c**3 - 39*c**2 + 1. Let t(b) be the first derivative of a(b). Solve t(q) = 0 for q.
0, 2, 3
Let w(a) be the third derivative of -a**6/1020 - 13*a**5/510 - 10*a**4/51 - 12*a**3/17 + 42*a**2 + 10*a. Factor w(h).
-2*(h + 2)**2*(h + 9)/17
Let s(o) be the second derivative of o**8/6720 + o**7/504 + 11*o**4/12 - 3*o + 2. Let c(u) be the third derivative of s(u). Factor c(p).
p**2*(p + 5)
Let k(g) be the second derivative of -11/2*g**3 - 11*g - 1/28*g**4 - 7 + 117/7*g**2. Factor k(v).
-3*(v - 1)*(v + 78)/7
Factor 131/4*c - 129/4*c**2 + 41/4*c**3 - 11 + 1/4*c**4.
(c - 1)**3*(c + 44)/4
Let m(p) be the first derivative of -2*p**3/3 + 144*p**2 + 584*p + 2597. Let m(n) = 0. What is n?
-2, 146
Determine r so that 2/3*r**4 + 0 + 1/3*r**5 - 2/3*r**2 + r - 4/3*r**3 = 0.
-3, -1, 0, 1
Let z(w) be the first derivative of w**6/8 - 9*w**5/5 + 39*w**4/16 + 45*w**3/2 - 159*w**2/2 + 90*w - 92. Suppose z(v) = 0. What is v?
-3, 1, 2, 10
Suppose -222*h - 9256 = -226*h. Factor h - 2*m**2 - 252*m + 5*m**2 - 763 + 2142 + 1599.
3*(m - 42)**2
Let a(x) be the third derivative of x**6/1020 + 27*x**5/170 - 64*x**4/51 - 112*x**3/17 + 11*x**2 + 73*x. Factor a(l).
2*(l - 4)*(l + 1)*(l + 84)/17
Let y = -116/3957 + 4537/19785. Solve -72/5*m - 1296/5 - y*m**2 = 0 for m.
-36
Let v = -68416/11 - -6220. Let k(z) be the second derivative of -20*z - 5/66*z**4 + 0 - 4/11*z**2 - v*z**3. Factor k(y).
-2*(y + 2)*(5*y + 2)/11
Suppose 0 = 5*p - v + 8, -12 = -6*v + 2*v. Let r be ((-8)/(-20))/(p/(-10)). Solve r + 14 - 4*s**3 + 28*s - 2 + 8*s**2 = 0.
-1, 4
Let h(y) be the third derivative of y**8/2016 - 13*y**7/1260 + 3*y**6/40 - 47*y**5/180 + 73*y**4/144 - 7*y**3/12 + 56*y**2 - 2*y + 18. Factor h(x).
(x - 7)*(x - 3)*(x - 1)**3/6
Let w(b) be the first derivative of b**4/10 + 2938*b**3/15 + 540224*b**2/5 + 1077512*b/5 + 772. Solve w(p) = 0 for p.
-734, -1
Factor 180*z - 455 - z**3 + 170*z**2 + 79 + 5*z**3 + 22*z**2.
4*(z - 1)*(z + 2)*(z + 47)
Suppose 0 + 3*y**3 + 2*y**2 - 2/3*y**4 - 5/3*y = 0. What is y?
-1, 0, 1/2, 5
Let t(b) be the second derivative of -b**8/112 + b**7/35 - 17*b**2 + b + 14. Let o(w) be the first derivative of t(w). Factor o(v).
-3*v**4*(v - 2)
Suppose -151*a - 2*n = -147*a - 31974, -40*a + n = -319425. Factor 726*u + 2/9*u**3 - a - 22*u**2.
2*(u - 33)**3/9
Let p be 42/(-35)*5/(-1). Let x(h) = 2*h**5 + 5*h**4 - 9*h**3 + 7*h**2 + 10*h - 3. Let c(o) = -o**4 - o**3 - o**2 - 1. Let i(f) = p*c(f) + 2*x(f). Factor i(n).
4*(n - 1)**3*(n + 1)*(n + 3)
Let z = 10 + -7. Suppose -134*y - 196*y = -660. Find f, given that 21/4*f**5 + 0 + 0*f - 3/2*f**z + 0*f**y - 15/4*f**4 = 0.
-2/7, 0, 1
Let p(s) be the third derivative of -5/72*s**4 + 0 + 0*s - 25/36*s**3 - 1/360*s**5 + 18*s**2. Factor p(z).
-(z + 5)**2/6
Suppose d + 527 = -4*w + 195, -1346 = 4*d - 2*w. Let o = 336 + d. What is h in 0*h + 1/4*h**3 + 2*h**2 + o = 0?
-8, 0
Let m(t) be the first derivative of t**4/4 + 43*t**3/3 - 22*t**2 - 429. Factor m(k).
k*(k - 1)*(k + 44)
Factor 325 + 568*b**2 - 2*b**5 + 1173*b**2 + 743 + 520*b - 136*b**4 - 2489*b**2 - 60 - 642*b**3.
-2*(b - 1)*(b + 2)**3*(b + 63)
Find g such that 0 - 3/2*g**4 + 3/2*g**2 + 0*g - 1/4*g**5 + 1/4*g**3 = 0.
-6, -1, 0, 1
Factor 3/4*k**4 + 3*k + 0 - 3/4*k**2 - 3*k**3.
3*k*(k - 4)*(k - 1)*(k + 1)/4
Let v = -1/86683 + 1386931/260049. Factor 17/3*q - 1/3*q**2 - v.
-(q - 16)*(q - 1)/3
Let b be 4/2*(-1)/(-7). Let g = 411/2 + -2869/14. Find a such that -16/7 + g*a**2 - 8/7*a + b*a**3 = 0.
-2, 2
Let i(n) be the first derivative of 9/10*n**4 - 44/5*n**3 + 28/5*n + 19/5*n**2 - 36. Determine b, given that i(b) = 0.
-1/3, 2/3, 7
Suppose -x - 9 = -11. Let i(v) = 3 - 4 - x*v**2 + v**2. Let c(d) = -3*d**2 - 2*d - 4. Let t(r) = c(r) - 4*i(r). Let t(o) = 0. Calculate o.
0, 2
Let 2*l**3 - 2*l - 4739 - 28*l**2 + 9494 - 4727 = 0. Calculate l.
-1, 1, 14
Let g(f) = -56*f**3 + 61*f**2 + 47*f + 5. Let l(r) = -58*r**3 + 58*r**2 + 50*r + 6. Let s(b) = -6*g(b) + 5*l(b). Solve s(k) = 0 for k.
-8/23, 0, 2
Let z(m) = -m**5 + m**4 + 2*m**3 + m**2 + m + 3. Let o(p) = -3*p**5 - 8*p**4 - 20*p**3 + 2*p**2 + 31*p + 26. Let l(y) = 5*o(y) - 20*z(y). Factor l(x).
5*(x - 14)*(x - 1)*(x + 1)**3
Let u(j) be the first derivative of -19 + 2*j**2 + 1/36*j**4 + 0*j - 4/9*j**3. What is a in u(a) = 0?
0, 6
Find p such that 94/13*p**3 + 552/13*p**2 - 60/13*p**4 + 168/13*p - 160/13 = 0.
-2, -5/6, 2/5, 4
Let u(a) be the first derivative of -a**4/12 + 56*a**3/3 - 2407*a**2/2 + 13778*a/3 + 3352. Factor u(y).
-(y - 83)**2*(y - 2)/3
Suppose -420*h - 84*h = 78*h - 543 - 1785. Find b, given that 1024/3 - 22/3*b**3 - 1/3*b**h - 128/3*b - 48*b**2 = 0.
-8, 2
Let i = -2373 - -2374. Let v be i/(-7) + -524*11/(-1540). Let 6/5*n**2 - 12/5 - 18/5*n + 6/5*n**4 + v*n**3 = 0. Calculate n.
-2, -1, 1
Let d(u) be the second derivative of 10 - 1/2*u**2 + 7*u + 1/3*u**3 - 1/12*u**4. Suppose d(v) = 0. Calculate v.
1
Let m(p) be the first derivative of 2*p**3/9 - 4*p**2/3 + 8*p/3 - 1811. Factor m(d).
2*(d - 2)**2/3
Let q(x) be the third derivative of x**5/390 + 10*x**4/13 - 121*x**3/39 - 2351*x**2. Let q(i) = 0. What is i?
-121, 1
Let u(j) be the third derivative of -j**7/840 - j**6/15 + 67*j**5/240 - 17*j**4/48 + 416*j**2 + 7. Let u(f) = 0. What is f?
-34, 0, 1
Factor -45/4*r**2 + 483/2*r + 529 + 1/8*r**3.
(r - 46)**2*(r + 2)/8
Let p be ((114/5)/(-3))/(55303/(-11020)*4 + 20). Factor -2/21*o**3 - 13718/21 - 38/7*o**2 - p*o.
-2*(o + 19)**3/21
Let u(l) be the first derivative of -41/2*l**2 + 60 - 2*l - 44*l**3. Factor u(w).
-(4*w + 1)*(33*w + 2)
Let o(f) = f**3 - 14*f**2 - 396*f + 5834. Let k be o(18). Factor -16/5 + 4/5*i**k - 4/5*i**3 + 16/5*i.
-4*(i - 2)*(i - 1)*(i + 2)/5
Let o(p) = 4*p**3 - 44*p**2 - 115*p + 159. Let k be o(13). Factor 4/3