 0.
-2/13, 0
Let s(a) be the second derivative of -5*a**4/12 + 20*a**3/3 - 35*a**2/2 - 63*a. Let g(v) = -3*v**2 + 21*v - 18. Let f(r) = 5*g(r) - 2*s(r). Factor f(d).
-5*(d - 4)*(d - 1)
Let x(g) be the first derivative of 4*g**3/3 + 170*g**2 + 296. Suppose x(w) = 0. What is w?
-85, 0
Let t(s) be the second derivative of -s**6/120 + s**5/20 - s**3/3 + 43*s**2/2 + 20*s + 5. Let r(o) be the second derivative of t(o). Factor r(u).
-3*u*(u - 2)
Let i be (-8734)/(-3176)*(1 + (-9)/11). What is h in -3/2 + i*h**2 + h = 0?
-3, 1
Let a(j) be the second derivative of j**6/480 + j**5/80 + j**4/32 + j**3/24 - 8*j**2 + 56*j. Let k(h) be the first derivative of a(h). What is y in k(y) = 0?
-1
Suppose -71*b + 128*b = -88*b - 20*b + 330. Factor -2/7*k**b - 3200/7 + 160/7*k.
-2*(k - 40)**2/7
Let j be ((22/308)/((-1)/3))/((-224)/5880). Factor -9/8*v**2 + j + 33/2*v.
-3*(v - 15)*(3*v + 1)/8
Let w(q) be the first derivative of -q**4/2 - 68*q**3/3 - 265*q**2 - 1200*q + 1575. What is u in w(u) = 0?
-24, -5
Let m(o) = 39*o**2 + 66*o - 81. Let u(a) = 7 + 13*a - 93*a**2 + 54*a**2 + 47*a**2 - 23. Let g(i) = 5*m(i) - 24*u(i). Suppose g(h) = 0. What is h?
-7, 1
Let v = -237633 - -237634. Factor v + 1/4*h**3 + 9/4*h**2 - 1/4*h**4 + 11/4*h.
-(h - 4)*(h + 1)**3/4
Suppose 149824*f = 149855*f - 93. Let v(g) be the second derivative of 0 - 128*g**2 + 32/3*g**f - 10*g - 1/3*g**4. Factor v(y).
-4*(y - 8)**2
Suppose 42*i + 27 = 153. Let m(s) be the third derivative of 0*s - 9*s**2 + 2/3*s**i - 1/3*s**4 + 0 + 1/15*s**5. Find h such that m(h) = 0.
1
Determine o, given that -720/7 + 387/7*o**2 - 3/7*o**4 - 18/7*o**3 - 318/7*o = 0.
-15, -1, 2, 8
Suppose 6*c = 6 + 24. Suppose -c*r + 5*d = 0, 5*d - 28 = -r - 10. What is n in 16*n + 20*n**4 + 20*n**r + 32*n**2 - 5*n**4 - 11*n**4 = 0?
-2, -1, 0
Factor 212268*u**2 + 3192*u**3 + 625801442/9 + 18*u**4 + 18821096/3*u.
2*(3*u + 133)**4/9
Let z be 4/(-6) + (-2)/9*-12. Let -6*v**z + 8*v + 67*v**3 + 32*v**2 - 37*v**3 + 14*v**4 + 2*v**5 = 0. What is v?
-4, -1, 0
Let d(q) = q**2 + 21091*q - 27815026. Let a(o) = -o**2 - 10545*o + 13907508. Let l(j) = -5*a(j) - 3*d(j). Factor l(w).
2*(w - 2637)**2
Let c = 19/2278 - -9055/6834. Factor -c + 11/2*l - 2/3*l**2.
-(l - 8)*(4*l - 1)/6
Suppose 4*d - 2*g = d + 20, 3*d - 4*g = 10. Determine b so that -d*b - 5*b + 5*b + 8*b**3 + 0*b**2 + 4 + 4*b**2 + 2*b**5 - 8*b**4 = 0.
-1, 1, 2
Factor 1/9 - 1/9*n + 1/9*n**3 - 1/9*n**2.
(n - 1)**2*(n + 1)/9
Let s(z) be the third derivative of -z**7/6300 - 11*z**6/900 + z**4/24 - 65*z**3/3 - 154*z**2 - 2*z. Let w(o) be the second derivative of s(o). Factor w(y).
-2*y*(y + 22)/5
Let l(z) be the third derivative of z**5/30 + 290*z**4/3 - 387*z**3 - 2064*z**2 + 2. Factor l(p).
2*(p - 1)*(p + 1161)
Let f(j) be the second derivative of j**6/2520 - j**5/42 + 25*j**4/42 - j**3 - j + 95. Let a(c) be the second derivative of f(c). Let a(r) = 0. Calculate r.
10
Let x(p) = 25*p**3 - 21*p**2 + 2*p + 1. Let b be x(4). Factor 1264*i**2 - 73 - 102*i - b*i**2 - 216.
-(3*i + 17)**2
Let o(j) be the first derivative of -15 - 4/45*j**5 - 1/9*j**2 + 1/27*j**6 + 0*j**4 + 4/27*j**3 + 0*j. Find m such that o(m) = 0.
-1, 0, 1
Let 807/4*x**2 - 633/2*x - 30*x**3 + 144 + 3/4*x**4 = 0. Calculate x.
1, 6, 32
Let h be -2 + 64 + (-6 - 2). What is t in -19*t**2 + 328*t**3 + t**5 + 2*t**4 + 45*t - 5*t**2 - 342*t**3 + h = 0?
-3, -1, 2, 3
Let v(n) be the first derivative of n**6/240 - n**5/160 - n**4/96 + n**3/48 - 44*n - 17. Let a(p) be the first derivative of v(p). Factor a(h).
h*(h - 1)**2*(h + 1)/8
Let u(p) be the second derivative of -4*p**5/5 + 4*p**4 + 154*p**3 + 980*p**2 - 3051*p. Factor u(y).
-4*(y - 10)*(2*y + 7)**2
Suppose -5*c = 13 - 33. Suppose -5*z = 3*d + 10 - 60, c*z - d = 40. Find r, given that 2 - 9*r**2 + 7*r**2 + 9*r**3 - z*r**3 + r = 0.
-2, -1, 1
Let t(h) = 15*h**3 - 56*h**2 - 243*h - 176. Let m(p) = -34*p**3 + 110*p**2 + 486*p + 351. Let y(o) = 4*m(o) + 9*t(o). Solve y(j) = 0 for j.
-60, -3, -1
Let r(x) = -x**3 - x**2 + x - 3. Let k(n) = -n**4 - 29*n**3 - 51*n**2 - 19*n - 12. Let q(m) = -k(m) + 4*r(m). Factor q(h).
h*(h + 1)**2*(h + 23)
Suppose 11*j - 2149890 = 60*j - 2149890. Factor -2/11*f**5 + 4/11*f + 10/11*f**2 + 6/11*f**3 - 2/11*f**4 + j.
-2*f*(f - 2)*(f + 1)**3/11
Let h(i) = 3*i**4 - 40*i**3 - 43*i**2 + 62*i + 26. Let c(z) = 4*z**4 + z**3 - z**2 + z - 1. Let o(j) = 2*c(j) - h(j). Solve o(u) = 0.
-7, -2, -2/5, 1
Let a(j) be the third derivative of j**8/1344 + 7*j**7/120 + 47*j**6/160 + 139*j**5/240 + 23*j**4/48 + 11*j**2 + 6*j - 1. Factor a(p).
p*(p + 1)**3*(p + 46)/4
Let w = 147748 + -443242/3. What is v in -8/9 - w*v - 1/9*v**2 = 0?
-4, -2
Suppose -105*w + 1144 = -97*w. Factor -290*l**2 + w*l**2 + 151*l**2 - 24 + 20*l.
4*(l - 1)*(l + 6)
Let j(x) be the first derivative of -35*x**6/6 + 23*x**5 + 465*x**4 - 180*x**3 + 4113. Find p, given that j(p) = 0.
-6, 0, 2/7, 9
Let a(b) be the first derivative of -3*b**4/4 - 17*b**3 - 84*b**2 - 156*b - 764. Factor a(l).
-3*(l + 2)**2*(l + 13)
Let a(d) = 25*d**3 - 3933*d**2 - 3846*d + 16. Let w(p) = -33*p**3 + 5244*p**2 + 5130*p - 21. Let g(h) = 21*a(h) + 16*w(h). Factor g(s).
-3*s*(s - 438)*(s + 1)
Suppose -2*p + 1 = -5. Let r = 861 - 854. Suppose r + 3*o**2 - 3*o**3 - 2 + p*o - 3*o**4 - 5 = 0. What is o?
-1, 0, 1
Let g(b) be the third derivative of -11/40*b**4 + 0*b - 2*b**2 + 1/300*b**5 - 2 - 17/15*b**3. Determine w so that g(w) = 0.
-1, 34
Let f be -5 - -11 - (0 + (-36)/(-84) + (-110)/(-21)). Suppose 3*d + 2 = 8. Suppose c**3 - c**2 + f*c**4 - 7/3*c + d = 0. Calculate c.
-3, -2, 1
Let x = 9/11090 - -38779/44360. Factor x*j**2 + 5/8*j**3 + 3/8*j + 1/8*j**4 + 0.
j*(j + 1)**2*(j + 3)/8
Let 0*s + 0 - 3*s**3 - 39/4*s**4 - 9/4*s**5 + 0*s**2 = 0. Calculate s.
-4, -1/3, 0
Let h(z) be the second derivative of -z**5/36 + 5*z**4/6 + 65*z**3/18 + 28*z**2 - z + 30. Let k(o) be the first derivative of h(o). Find d such that k(d) = 0.
-1, 13
Let i(w) be the first derivative of 0*w + 0*w**3 - 1/2*w**4 + w**2 + 60. Factor i(r).
-2*r*(r - 1)*(r + 1)
Suppose 2/17*r**4 - 342/17*r - 42/17*r**3 + 202/17*r**2 + 180/17 = 0. Calculate r.
1, 2, 3, 15
Suppose -759*r + 175*r - 2856*r + 4284 = -2596. What is c in c**3 + c**r - 4*c - 1/4*c**4 + 0 = 0?
-2, 0, 2, 4
Let l(i) = 2*i**5 + i**4 + 15*i**3 + 79*i**2 + 89*i - 27. Let k(a) = -a**5 + a**4 - 14*a**3 - 78*a**2 - 86*a + 18. Let b(c) = 6*k(c) + 4*l(c). Factor b(u).
2*u*(u - 4)*(u + 2)**2*(u + 5)
Let k = -1493 + 1497. Let c(s) be the second derivative of 0 + 0*s**3 + 0*s**2 + 1/50*s**5 + 0*s**k + 10*s. Factor c(u).
2*u**3/5
Let g be (7/(-21))/((-1)/78). Let l = g + -18. Determine r, given that -8*r**4 + 28*r**2 + 8*r - 2*r**3 + 6*r**3 - l*r**2 = 0.
-1, -1/2, 0, 2
Let i(x) = -4*x - 16. Let u be i(-4). Suppose 2*t - 280 = -3*a - 0*t, u = a + 2*t - 92. Factor 51*n**2 - a*n**2 + 5*n**3 - 10*n + 48*n**2.
5*n*(n - 1)*(n + 2)
Suppose 933*s = -3*z + 934*s + 53, 3*s = 4*z - 64. Let h(g) be the first derivative of -z + 3/4*g**2 - 1/8*g**4 + 1/3*g**3 + 0*g. Factor h(u).
-u*(u - 3)*(u + 1)/2
Let 2 - 2 - 2*t**2 + 409*t - 539*t = 0. What is t?
-65, 0
Let i = -20119/2 - -9857. Let c = -201 - i. Factor -c*m + 0*m**2 + 3/2*m**3 + 0.
3*m*(m - 1)*(m + 1)/2
Let l(r) be the second derivative of -1/120*r**5 + 0*r**2 + 1/2*r**4 - 9*r**3 + 5 - 10*r. Factor l(k).
-k*(k - 18)**2/6
Let n = -910034 - -2730121/3. Factor -1127/3*v + 34*v**3 + n*v**4 + 1/3*v**5 - 343 - 14/3*v**2.
(v - 3)*(v + 1)*(v + 7)**3/3
Let w be ((-98)/(-10) + 1)/((-86)/(-215)). Factor 30*r**2 + 24*r**3 - 216 - 23*r - 13*r - w*r**3.
-3*(r - 6)**2*(r + 2)
Let n(k) be the first derivative of -k**5/2 - 165*k**4/8 + 90*k**3 - 1033. Determine y, given that n(y) = 0.
-36, 0, 3
Let j(c) be the first derivative of -c**7/168 - c**6/24 + 5*c**4/6 - c**3/3 - 9*c**2/2 + 75. Let n(b) be the third derivative of j(b). Factor n(u).
-5*(u - 1)*(u + 2)**2
Suppose 4*b + 6 = -4*p + 50, -40 = -4*b - 5*p. Let v be 1212/990 - 2/b. Solve 18/11*m + v*m**2 + 0 + 2/11*m**3 = 0.
-3, 0
Let q = -218040 - -218042. Factor 1/5*f**q - 4*f + 36/5.
(f - 18)*(f - 2)/5
Let o = 561351 - 561348. Factor 34/7*z**2 + 62/7*z + 30/7 + 2/7*z**o.
2*(z + 1)**2*(z + 15)/7
Let m be (-33)/(-20)*1276/174. Let s = -479/40 + m. Factor 25/2 + s*a**2 + 5/2*a.
(a + 10)**2/8
Let y be 16/18*(-78)/(-104) - 8/15. Let f(l) be the first der