7/1436 + 667/4308. Let y = 5/3 + -3/2. Factor 1/6*m**3 + c*m**2 + 0 - y*m**4 - 1/6*m.
-m*(m - 1)**2*(m + 1)/6
Suppose 60 = -285*l + 279*l. Let d be (-19)/l + (-35)/25 + 1. Suppose -9*z**2 - 27/2*z + 0 - d*z**3 = 0. What is z?
-3, 0
Let i(s) be the second derivative of -3*s**5/100 - 443*s**4/20 - 49283*s**3/10 - 146523*s**2/10 - 7967*s. Factor i(w).
-3*(w + 1)*(w + 221)**2/5
Let f(x) = x. Let g(n) = -n**2 - 5*n. Suppose 13 - 9 = 4*t. Let d(l) = t*g(l) + 2*f(l). Solve d(i) = 0 for i.
-3, 0
Let d(k) = -k - 4. Let o(i) = -i**3 - 257*i**2 - 16378*i + 16661. Let q(y) = -5*d(y) - o(y). Determine h so that q(h) = 0.
-129, 1
Let x(l) be the second derivative of l**6/1020 - l**4/68 - 2*l**3/51 - 25*l**2/2 - 75*l. Let g(m) be the first derivative of x(m). What is z in g(z) = 0?
-1, 2
Let r(s) = s**3 - 381*s**2 + 384*s - 2. Let m(o) = 12*o**3 - 3810*o**2 + 3840*o - 21. Let n(q) = -2*m(q) + 21*r(q). Factor n(j).
-3*j*(j - 1)*(j + 128)
Let j be (4 + (-150)/36)/(-2 - 0/(-5)). Let k(l) be the second derivative of 0 + j*l**3 + 1/24*l**4 - 10*l + 0*l**2. Factor k(h).
h*(h + 1)/2
Let a be (-936)/(-40) - 14/35. Let i be (23/(-6))/a + 2/12. Factor i - 3/5*z**2 - 6/5*z.
-3*z*(z + 2)/5
Let p be 7 + -3 + 153 + -153. Let 80/3*l**p + 118/3*l**3 - 50/3*l**5 - 64/3 - 340/3*l**2 + 256/3*l = 0. What is l?
-2, 4/5, 1
Let s(z) be the first derivative of -z**6/3 + 8*z**5/5 + 5*z**4/2 + 2602. Factor s(k).
-2*k**3*(k - 5)*(k + 1)
Let j = -45565 - -45567. Let a be 1 + -1 - 24/(-10). Determine v so that -108/5*v**j + a*v + 243/5*v**3 + 0 = 0.
0, 2/9
Let n(g) = -13*g**2 + 3479*g + 1517272. Let l(d) = 31*d**2 - 8698*d - 3793181. Let f(h) = -5*l(h) - 12*n(h). Suppose f(w) = 0. Calculate w.
-871
Let u(h) = h**2 - 37*h - 76. Let o(d) = -d**2 + 76*d + 151. Suppose -604 + 578 = 13*l. Let g(r) = l*o(r) - 5*u(r). Factor g(f).
-3*(f - 13)*(f + 2)
Let h(g) = 2*g**4 + 78*g**3 + 342*g**2 + 4*g - 454. Let v(q) = -6*q**4 - 141*q**3 - 684*q**2 - 6*q + 907. Let l(p) = 10*h(p) + 4*v(p). What is d in l(d) = 0?
-2, 1, 57
Let n(h) = h**3 - 6*h**2 - 6*h - 3. Let q be n(7). Let m be 6/8*(0 + 1 + 3). Factor 34*w**3 + 3*w**2 - 37*w**3 - w**5 - q*w**2 - m*w**4.
-w**2*(w + 1)**3
Suppose 0 = -5*p + x - 125, -3*p + 4*p = -2*x - 14. Let i be 4*p/(-32)*(-32)/(-36). Factor 2*f**3 + 0 - i*f**2 - 8/3*f - 2/3*f**5 + 4/3*f**4.
-2*f*(f - 2)**2*(f + 1)**2/3
Suppose 39 = -5*x - v, 5*x = 10*x - 5*v + 45. Let h be (-8)/64 - 33/x. Determine f, given that 0 - 40/7*f**2 + 32/7*f**5 + 34/7*f**3 + 16*f**h + 6/7*f = 0.
-3, -1, 0, 1/4
Let l(f) = -11*f**2 - 138*f + 227. Let v be l(-14). Suppose -6/11*p**2 - 2/11*p**v + 8/11 + 0*p = 0. What is p?
-2, 1
Let v(x) = -6*x**3 + 3*x**2 - 19. Let h be v(-3). Factor 131 + 107 - 78 - 325*p - 5*p**3 + h*p**2.
-5*(p - 32)*(p - 1)**2
Find g such that -297 + 472 - 2082*g**2 + 72*g + 473 - 32*g**3 + 1956*g**2 - 2*g**4 = 0.
-9, -6, -3, 2
Let h(t) = -t + 6*t**3 + 34 + 5*t + 3*t**3 - 133*t + 19*t. Let a(w) = 28*w**3 + w**2 - 329*w + 103. Let z(f) = 2*a(f) - 7*h(f). Find u such that z(u) = 0.
-4, 2/7, 4
Let j(z) be the second derivative of z**6/105 - 4*z**5/35 + z**4/42 + 2*z**3 - 181*z + 4. Solve j(n) = 0 for n.
-2, 0, 3, 7
Suppose -12*u + 15*u = -5*n - 31, -21 = 5*n - 2*u. Let w be ((-53)/n)/1 - 9. What is c in w*c + 1/5*c**3 + c**2 + 4/5 = 0?
-2, -1
Let k = -78 - -81. Suppose q = 3*w - 11, 2*w + q = k + 1. Factor -h**w - 2 + h + 2*h + 0*h.
-(h - 1)**2*(h + 2)
Factor -51/2*g - 3/2*g**3 - 15 - 12*g**2.
-3*(g + 1)*(g + 2)*(g + 5)/2
Let l(c) be the first derivative of c**4/18 + 62*c**3/9 + 961*c**2/3 + 81*c + 91. Let t(g) be the first derivative of l(g). Find m, given that t(m) = 0.
-31
Let t = -137/9 + 347/9. Factor -t*r**2 - 25/6*r**3 - 70/3*r + 40/3.
-5*(r + 2)*(r + 4)*(5*r - 2)/6
Let y(j) = 7*j**3 - 4*j**2 - 11*j + 4. Let l be y(5). Let p = l + -722. Find n, given that 1/3*n**p - 1/3*n**4 + 5/3*n**3 + 4/3 - 1/3*n**5 - 8/3*n = 0.
-2, 1
Let n(r) = 5*r**3 - 103*r**2 - 6*r. Let a(z) = 17*z - 184. Let w be a(11). Let t(v) = -5*v**3 + 102*v**2 + 4*v. Let c(k) = w*t(k) + 2*n(k). Factor c(x).
-5*x**2*(x - 20)
Let c(v) = -v**2 + 4421*v - 317402. Let h be c(73). What is s in 6/7*s**4 + 12/7*s + 0 - 22/7*s**h - 2/7*s**5 + 6/7*s**3 = 0?
-2, 0, 1, 3
Let o(n) be the second derivative of -2 + 7/2*n**3 - 15*n - 1/16*n**4 + 0*n**2. Factor o(c).
-3*c*(c - 28)/4
Let t(v) be the third derivative of -v**6/720 + 19*v**5/180 + v**4/144 - 19*v**3/18 - 2686*v**2. Determine r so that t(r) = 0.
-1, 1, 38
Let g be -2*(2 - 24)*(-26)/(-312). Let f = 127/33 - g. Suppose 6/11*x**3 + 6/11*x**4 + f*x**2 + 2/11*x**5 + 0 + 0*x = 0. Calculate x.
-1, 0
Let x(h) = -12*h**4 - 84*h**3 + 22*h**2 - 4*h - 21. Let v(s) = s**4 + 8*s**3. Let w(b) = -11*v(b) - x(b). Let w(c) = 0. Calculate c.
-3, -1, 1, 7
Let i be 3 + (-1 - (3 - -4 - 5)). Find h such that -4*h**2 - 4*h**2 + 8*h + i*h**2 - 3*h**2 + h**3 - 5 + 25 = 0.
-1, 2, 10
Find g such that -597*g - 104*g**2 - 131007 + 65046 + 65079 - g**3 = 0.
-98, -3
What is h in 3600 - 303*h**2 + 563*h + 298*h**2 - 599*h + 446*h = 0?
-8, 90
Let w(g) be the third derivative of 1/36*g**5 - 123*g**2 + 0*g**3 + 0*g + 1/72*g**6 + 0 - 5/6*g**4. Factor w(s).
5*s*(s - 3)*(s + 4)/3
Let q(c) be the third derivative of c**8/840 - c**7/105 - 29*c**6/180 - 2*c**5/5 - 247*c**3/6 + 13*c**2. Let l(h) be the first derivative of q(h). Factor l(d).
2*d*(d - 8)*(d + 1)*(d + 3)
Let y be (-20)/(-170) - 7/((-11662)/(-77)). Let d(s) be the second derivative of y*s**4 + 11*s + 0*s**2 - 2/21*s**3 + 0 - 1/70*s**5. Factor d(m).
-2*m*(m - 2)*(m - 1)/7
Let d(f) be the first derivative of -2*f**6/3 + 10*f**5 + 111*f**4/2 + 46*f**3/3 - 109*f**2 - 96*f - 5504. Find u, given that d(u) = 0.
-3, -1, -1/2, 1, 16
Let r be ((-2)/(-4))/((-3)/(-90)). Suppose -r = -12*g + 11*g. Factor -15*l**5 + 5*l**5 - 1 + 1 - 45*l**4 - 55*l**2 - 75*l**3 - g*l.
-5*l*(l + 1)**3*(2*l + 3)
Let c(a) be the first derivative of -a**4/26 - 30*a**3/13 + 201*a**2/13 + 490*a/13 - 128. Factor c(w).
-2*(w - 5)*(w + 1)*(w + 49)/13
Let g(w) be the first derivative of 13/3*w**3 - 2 + 0*w - 1/600*w**6 + 1/50*w**5 + 0*w**2 - 3/40*w**4. Let q(j) be the third derivative of g(j). Solve q(o) = 0.
1, 3
Let o(c) be the second derivative of c**4/12 + 19*c**3/2 + 55*c**2 + 1479*c. Find d such that o(d) = 0.
-55, -2
Let k(v) be the first derivative of v**7/14 + 5*v**6/6 + 29*v**5/20 + 7*v**4/12 + 82*v - 56. Let z(l) be the first derivative of k(l). Factor z(r).
r**2*(r + 1)*(r + 7)*(3*r + 1)
Let q be (-6 - (0 - 0))/(-2). Let r be q/(-3)*-6*(-13)/(-2). Suppose 3*a**2 - 59*a - r*a + 18 + 77*a = 0. What is a?
1, 6
Let z(q) = 57*q + 17*q**2 + 8*q**2 - 13*q**2 - 43 + 19. Let a(f) = 6*f**2 + 27*f - 12. Let b(u) = 5*a(u) - 2*z(u). Factor b(c).
3*(c + 4)*(2*c - 1)
Let p be ((-30)/(-100))/(16/2160*9). Suppose -39*r**3 + 30 + 12*r + p*r**4 - 123/2*r**2 = 0. Calculate r.
-1, 2/3, 10
Let r = -1857 + 2107. Let i = r - 248. Factor 2/3*s**i + 0*s - 2/3.
2*(s - 1)*(s + 1)/3
Let b be 4*(12/1 - ((-28934)/68)/(-37)). Suppose -2209/6 - 1/6*m**b + 47/3*m = 0. Calculate m.
47
Solve 497*l**3 - 161*l**3 - 59*l**2 + 2*l**2 - 168*l**3 - 165*l**3 + 102*l = 0.
0, 2, 17
Suppose -223112/3 + 1336/3*r - 2/3*r**2 = 0. What is r?
334
Let l = 180/71 - 469/213. Let y(x) be the second derivative of -l*x**4 + 1/30*x**5 + 4/3*x**3 - 8/3*x**2 + 13*x + 0. Solve y(o) = 0 for o.
2
Suppose 0 = -10*x + 5 - 25. Let u be -1*x/(-7)*112/(-64). Factor 3/2*j**3 + u*j**4 + 1/2*j + 0 + 3/2*j**2.
j*(j + 1)**3/2
Let k = -502401/7 + 71775. Factor 0*u**3 + k*u**2 + 0 - 2/7*u**4 - 32/7*u.
-2*u*(u - 2)**2*(u + 4)/7
Let o(p) be the first derivative of -p**5/160 - p**4/32 + 43*p + 3. Let h(b) be the first derivative of o(b). Factor h(v).
-v**2*(v + 3)/8
Factor 53/2*t**2 - 3/4*t + 0.
t*(106*t - 3)/4
Let t(q) = 54*q**2 - 3. Let c be t(1). Factor 36*x**4 + 4*x**5 + c*x**3 + 78*x**3 + 0*x**3 - 21*x**3 + 108*x**2.
4*x**2*(x + 3)**3
Suppose 2/3*u**4 - 17/6*u + 1/6*u**5 + 0*u**3 - 7/3*u**2 - 1 = 0. What is u?
-3, -1, 2
Let w(k) = 15*k**3 - 90*k**2 - 380*k - 40. Let m(n) = 2*n**3 - 13*n**2 - 55*n - 6. Let c(g) = -20*m(g) + 3*w(g). What is s in c(s) = 0?
-2, 0, 4
Factor 233*v + 17*v + 46*v**2 + 17*v**2 + 2*v**3 + 204 - 15*v**2.
2*(v + 1)*(v + 6)*(v + 17)
Let -16*a + 4325 - 1825 - 13*a + 9*a + 5*a**3 - 625*a**2 = 0. What is a?
-2, 2, 125
Let n be 3