or q(o).
-(o - 186)*(o - 2)/3
Let j be -46 - -44 - 4*-2. Suppose -o + 4*o - 45 = 0. Factor 48 - 3*z**3 - 15*z + j*z - 21*z**2 - o*z.
-3*(z - 1)*(z + 4)**2
Let n(a) = -2*a**2 + 474*a + 485. Let q(z) = -z**2 + 479*z + 486. Let d(h) = -4*n(h) + 6*q(h). Determine r so that d(r) = 0.
-488, -1
Let y(f) be the first derivative of -f**4/6 + 134*f**3/9 - 536*f**2/3 + 1624*f/3 - 2999. Determine x, given that y(x) = 0.
2, 7, 58
Find w such that 1/7*w**5 + 64/7*w - 68/7 + 13/7*w**4 + 55/7*w**2 - 65/7*w**3 = 0.
-17, -1, 1, 2
Suppose 16*d - 13658 = 21942. Factor -24 - 7*g + d*g**2 - 1939*g**2 - 90*g**3 - 10*g - 23*g.
-2*(g - 3)*(5*g - 2)*(9*g + 2)
Let b(p) be the first derivative of 18 - 48*p**3 - 128*p - 4/5*p**5 - 112*p**2 - 10*p**4. Factor b(x).
-4*(x + 2)**3*(x + 4)
Let k(a) be the second derivative of 0*a**4 + 0*a**2 + 4/77*a**7 + 9/55*a**6 - 1 + 0*a**3 + 3/55*a**5 - 7*a. What is l in k(l) = 0?
-2, -1/4, 0
Let l(n) be the first derivative of -5/14*n**4 + 2/21*n**3 + 95 - 2/35*n**5 + 0*n + 5/7*n**2. Solve l(y) = 0 for y.
-5, -1, 0, 1
Find d such that -3*d - 99*d**3 - 79 + 102*d**3 + 102*d**2 - 23 = 0.
-34, -1, 1
Let v(k) be the first derivative of -k**7/70 - 7*k**6/40 - 9*k**5/10 - 5*k**4/2 - 4*k**3 - 32*k**2 + 26. Let j(a) be the second derivative of v(a). Factor j(x).
-3*(x + 1)*(x + 2)**3
Let v(r) be the first derivative of 3*r**5/5 + 27*r**4/4 + 26*r**3 + 36*r**2 - 4836. Factor v(z).
3*z*(z + 2)*(z + 3)*(z + 4)
Let w(g) be the second derivative of -g**4/66 - 50*g**3/11 + 546*g. Find o, given that w(o) = 0.
-150, 0
Let j(z) be the first derivative of -3*z**5/80 + 13*z**4/16 - 7*z + 48. Let r(p) be the first derivative of j(p). Solve r(u) = 0 for u.
0, 13
Let j = 36284215/239644912 + -14/50093. Let y = 1/368 + j. Factor 6/13*r**2 + 0 + 4/13*r + y*r**3.
2*r*(r + 1)*(r + 2)/13
Let z = 82 + -80. Find b such that -z + 14*b**2 + 2 - 18*b + 2*b**3 + 2*b = 0.
-8, 0, 1
Let r(u) = 1. Let h(x) = 3*x**2 + 14*x + 9. Let i = -42 - -45. Let q(v) = i*h(v) - 3*r(v). Factor q(c).
3*(c + 4)*(3*c + 2)
Suppose -141*v + 144*v + 3*k = -39, k + 23 = 4*v. What is c in -26 + 22*c + 50/13*c**v + 2/13*c**3 = 0?
-13, 1
Let t(m) = -m**4 - m**2 + m. Let j(p) = -6*p**4 - 132*p**3 - 3*p**2 + 3*p. Let g(i) = -j(i) + 3*t(i). Factor g(x).
3*x**3*(x + 44)
Let d(f) be the first derivative of -12/35*f**5 + 8*f**2 + 15 - 136/21*f**3 + 17/7*f**4 - 32/7*f. Determine i so that d(i) = 0.
2/3, 1, 2
Let y(d) be the second derivative of -7*d**5/10 + 13*d**4 - 27*d**3 + 10*d**2 + 4156*d. Factor y(j).
-2*(j - 10)*(j - 1)*(7*j - 1)
Suppose -40*i + 6223 = -47*i. Let u = 893 + i. Solve 1/9*h**u + 0 + 5/9*h + 7/9*h**3 + 11/9*h**2 = 0.
-5, -1, 0
Solve 2/5*q**2 - 2442/5*q + 4876/5 = 0 for q.
2, 1219
Let i(l) = l**2 + 22*l + 97. Let k be i(-16). Let r(n) = 2*n. Let z(h) = -h**2 - 18*h - 16. Let u(o) = k*z(o) + 5*r(o). Factor u(m).
-(m + 4)**2
Let -50 - 290*d + 7/2*d**4 + 819/2*d**2 - 73*d**3 = 0. What is d?
-1/7, 1, 10
Let a(n) be the third derivative of -n**10/831600 - n**9/110880 + n**7/6930 - 127*n**5/60 + 42*n**2 + n. Let k(y) be the third derivative of a(y). Factor k(z).
-2*z*(z - 1)*(z + 2)**2/11
Let u be 6138/(-5115)*((-14)/(-35) + (-104)/135). Solve -2/9*l**3 + 2/3*l + 0 + u*l**2 = 0 for l.
-1, 0, 3
Let 116/7*j + 316/7*j**3 - 104/7*j**4 - 324/7*j**2 - 4/7 = 0. Calculate j.
1/26, 1
Let 2/7*y**2 - 180/7 + 86/7*y = 0. Calculate y.
-45, 2
Let b be 7*2*(-2)/(-4). Suppose 2*w + 4*o + 4 - 18 = 0, 2*o = 4. Factor -w*s**4 + 3*s**3 + s**2 + s**3 - b*s**3 + 3*s**5 + 2*s**2.
3*s**2*(s - 1)**2*(s + 1)
Let v(q) = 348*q**2 - 1200*q - 8391. Let j(z) = -33*z**2 + 120*z + 839. Let d(x) = -21*j(x) - 2*v(x). Factor d(b).
-3*(b + 9)*(b + 31)
Let j be 2/(-5)*(-4 + -1). Suppose 539*p - 553*p + 84 = 0. Factor -p*i**2 - 2*i**2 - 50*i - 23 - 102 + 3*i**j.
-5*(i + 5)**2
Let b(q) be the third derivative of -2*q**7/945 + q**6/360 + q**5/60 + q**4/108 + 4378*q**2. Factor b(u).
-u*(u - 2)*(u + 1)*(4*u + 1)/9
Let u(r) be the second derivative of 20 - 6*r + 1/3*r**4 + 8/3*r**3 + 6*r**2. Determine a so that u(a) = 0.
-3, -1
Let a(j) be the first derivative of 4*j**5/5 + 60*j**4 + 648*j**3 + 2808*j**2 + 5508*j + 431. Factor a(z).
4*(z + 3)**3*(z + 51)
Let g = -2417 - -2420. Let m(u) be the first derivative of -2*u**2 + 2/3*u**6 + 0*u - 5 + 0*u**4 - 8/5*u**5 + 8/3*u**g. Factor m(a).
4*a*(a - 1)**3*(a + 1)
Let t = -7519 - -90233/12. Let f(v) be the second derivative of 0 + t*v**4 + 15*v**2 + 4*v - 25/6*v**3. Determine m so that f(m) = 0.
2, 3
Suppose -61*h + 79*h + 118 = 55*h + 22*h. Find o, given that 0 - o**h - 5/4*o = 0.
-5/4, 0
Let x(r) be the second derivative of 33*r + 0 - 1/18*r**3 - 1/18*r**2 + 1/27*r**4. Find q, given that x(q) = 0.
-1/4, 1
Let c = -454 + 458. Factor -45*m**3 + m**4 - 6*m**c - 247*m**5 - m**4 + 60*m + 250*m**5 - 12*m**2.
3*m*(m - 5)*(m - 1)*(m + 2)**2
Suppose -4688 = 1190*p - 1483*p. What is f in 1/3*f**4 + p*f**2 - 64/3*f + 0 - 4*f**3 = 0?
0, 4
Let b(k) = -k**2 + k - 3. Let w(s) = 10*s**2 + 157*s - 299. Let f(p) = 22*b(p) + 2*w(p). Factor f(x).
-2*(x - 166)*(x - 2)
Factor -5*a**3 - 760*a**2 - 100820*a + 292*a**2 - 835*a**2 - 117*a**2.
-5*a*(a + 142)**2
Let j = -258226/143 + 19872/11. Find b such that -4/13*b**2 - 2/13*b**4 + 0*b - 4/13*b**5 + j*b**3 + 0 = 0.
-2, 0, 1/2, 1
Let d(q) = q**3 + 13*q**2. Let a be d(-13). Factor -60*o - 2401 - o**2 + a*o**2 + 158*o.
-(o - 49)**2
Let c(h) be the first derivative of h**4/8 + h**3/3 - 31*h**2/4 + 14*h + 2635. Factor c(n).
(n - 4)*(n - 1)*(n + 7)/2
Suppose 4*k - 18 = -2*y, -5*y - 3*k + 18 = -2*k. Factor -1372 - 37*b**3 + 201*b**2 + 4*b**4 + 306*b**2 - 784*b - 43*b**y - 3*b**2.
4*(b - 7)**3*(b + 1)
Let n = 1191 + -1452. Let u be n/609*(6/(-9) - 0). Find y, given that -u*y**2 + 20/7 + 6/7*y = 0.
-2, 5
Suppose o + o = -3*s + 58, -2*s = -4. Suppose 8*c = o + 30. Factor -10*q**3 + 6*q**2 + 25*q**3 - 2*q - c*q**3.
2*q*(q + 1)*(4*q - 1)
Factor 622/11*g + 12/11*g**2 - 104/11.
2*(g + 52)*(6*g - 1)/11
Suppose -10*a + 33 = a. Suppose -5*n = f + a, 1 = 2*n + 3. Suppose 1/3*z**4 + 8/9 - 17/9*z**3 + 34/9*z**f - 28/9*z = 0. Calculate z.
2/3, 1, 2
Let o(v) be the second derivative of -v**7/147 + 2*v**6/21 - 8*v**5/35 - v**4/21 + 17*v**3/21 - 8*v**2/7 + 1623*v. Suppose o(h) = 0. Calculate h.
-1, 1, 8
Let c(o) = -4*o. Let q be c(-15). Factor -52*y**2 + 35*y - 40 - 5*y + 107*y**2 - q*y**2.
-5*(y - 4)*(y - 2)
Let k(g) be the third derivative of -42*g**2 - 1/12*g**5 + 20/3*g**3 + 2*g + 35/24*g**4 + 0. Determine f, given that k(f) = 0.
-1, 8
Let c(r) be the second derivative of r**6/10 + 18*r**5/5 + 44*r**4 + 192*r**3 + 2*r - 965. Find m, given that c(m) = 0.
-12, -8, -4, 0
Let n(c) be the second derivative of -c**7/42 + 18*c**6/5 + 11*c**5 + c**4/6 - 73*c**3/2 - 55*c**2 + 3*c - 711. Solve n(j) = 0.
-1, 1, 110
Let f(q) be the second derivative of -1/18*q**4 - 54*q - 5/9*q**3 - 4/3*q**2 + 0. Factor f(v).
-2*(v + 1)*(v + 4)/3
Let g(q) = -4*q + 103. Let f be g(25). Solve 6*m**4 - 6*m**4 + 9*m**3 - 20*m**2 + 35*m**f - 8*m**4 = 0 for m.
0, 1/2, 5
Let a be ((-3)/(-25))/((-1659)/(-790))*(2 - -3). Factor 0 + a*x**2 + 2/7*x.
2*x*(x + 1)/7
Let n(i) = -617*i**2 + 8601*i + 36. Let r(z) = -2443*z**2 + 34404*z + 144. Let o(f) = 17*n(f) - 4*r(f). Let o(y) = 0. What is y?
-1/239, 12
Let o(y) be the first derivative of 2*y**6/3 - 84*y**5/5 + 97*y**4 + 220*y**3 - 484*y**2 - 4128. Find v, given that o(v) = 0.
-2, 0, 1, 11
Let n(z) be the second derivative of -z**7/105 + 8*z**6/75 - 12*z**5/25 + 17*z**4/15 - 23*z**3/15 + 6*z**2/5 - 519*z. Solve n(x) = 0 for x.
1, 2, 3
Suppose 90*h + 53*h - 580 = -2*h. Let b(m) be the third derivative of 1/20*m**h - 1/75*m**5 + 1/900*m**6 + 0*m - 4/45*m**3 - 9*m**2 + 0. Factor b(j).
2*(j - 4)*(j - 1)**2/15
Let l(i) = i**3 - 15*i**2 - 17*i + 21. Let f be l(16). Factor 24*b**4 + 5*b**2 + 48*b - 4*b**f + 89 + 3*b**2 - 44*b**3 - 121.
-4*(b - 2)**3*(b - 1)*(b + 1)
Let g(v) = 4*v**3 - 8*v**2 - 12*v. Let b = 46 - 38. Suppose -5*z - 2 = b. Let y(h) = h**2 + h. Let t(n) = z*g(n) - 20*y(n). Find l, given that t(l) = 0.
-1, 0, 1/2
Let m(h) be the first derivative of 5*h**4/4 - 16*h**3/3 + 13*h**2/10 + 6*h/5 + 2101. Factor m(i).
(i - 3)*(5*i - 2)*(5*i + 1)/5
Suppose -2*q = -9*m - 184, -22 = 318*q - 319*q + m. Solve 28/11*x - 10/11 + 6/11*x**q = 0.
-5, 1/3
Let d(s) be the first deriva