 + 10)/2
Let c(u) be the first derivative of 5*u**9/3024 + 11*u**8/168 + 121*u**7/168 - 148*u**3/3 - 81. Let g(n) be the third derivative of c(n). Solve g(y) = 0.
-11, 0
Factor -p**5 + p**5 + 1486*p**4 - 90*p**4 - 212*p**4 - 4*p**5.
-4*p**4*(p - 296)
Let a(s) be the second derivative of 0*s**3 - 15*s + 0 + 0*s**4 - 1/6*s**5 - 1/24*s**6 - 7*s**2. Let o(k) be the first derivative of a(k). Factor o(v).
-5*v**2*(v + 2)
Let u(t) be the first derivative of -t**6/57 - 2*t**5/95 + 8*t**4/19 - 40*t**3/57 + 1657. Factor u(m).
-2*m**2*(m - 2)**2*(m + 5)/19
Let b(u) be the second derivative of 1 + 10*u - 512/11*u**2 - 1/110*u**5 - 4/11*u**4 - 64/11*u**3. Find r, given that b(r) = 0.
-8
Solve -68/9*h**3 - 16/9*h**2 + 0 + 2/3*h**5 - 32/9*h**4 + 14/9*h = 0.
-1, 0, 1/3, 7
Let c(n) be the second derivative of 0*n**2 + 10*n + 1/21*n**3 - 1/84*n**4 - 3. Factor c(s).
-s*(s - 2)/7
Let k(j) = -13*j**2 + 30*j + 27. Let d be k(3). Let b(v) be the first derivative of 0*v + 11 + 0*v**2 - 1/14*v**4 + d*v**3 - 2/35*v**5. Factor b(u).
-2*u**3*(u + 1)/7
Factor 610*d**2 - 5/2*d**3 - 1215/2*d + 0.
-5*d*(d - 243)*(d - 1)/2
Let i be 1/((-21)/(-12)) - 51/(-21). Suppose -3*u + 4 = -2*u. What is m in -m**3 - 11*m**2 + 16*m**2 - u*m**i = 0?
0, 1
Find f, given that 726 - 532/3*f**2 + 6*f**4 - 10*f**3 - 1/3*f**5 - 11*f = 0.
-3, 2, 11
Let m(y) be the first derivative of y**5/5 - 13*y**4/6 - 23*y**3/3 - 8*y**2 - 60*y - 23. Let q(k) be the first derivative of m(k). Let q(t) = 0. What is t?
-1, -1/2, 8
Let k(t) be the second derivative of -t**3/2 - t**2/2 - 62*t. Let c(m) = m**2 + 22*m + 6. Let d(r) = -c(r) - 6*k(r). What is u in d(u) = 0?
-4, 0
Let c(h) = 36*h + 26. Let v be c(-1). Let a be (11/275)/((-2)/v). Factor 0*p + 0 + a*p**2.
p**2/5
Factor 7938*q**2 + 1/2*q**4 + 0 - 126*q**3 + 0*q.
q**2*(q - 126)**2/2
Let v = -167 - -319. Suppose -64 = -2*c - 2*o, 0 = 4*c - 5*o + 3*o - v. Find s such that -14*s**4 - 39*s**2 + 83*s**2 - c*s + 8 - 2*s**4 = 0.
-2, 1/2, 1
Let h(l) be the second derivative of l**4/60 - 847*l**3/5 + 6456681*l**2/10 + 114*l + 4. Factor h(p).
(p - 2541)**2/5
Let k(h) = 3*h**4 + 18*h**3 - 48*h**2 - 12*h. Let x(j) = 2*j**4 + 19*j**3 - 46*j**2 - 10*j. Let v(m) = 5*k(m) - 6*x(m). What is d in v(d) = 0?
0, 2, 6
Let f(q) = -30*q**2 - 66 + 44 + 8*q - 7*q - 21*q + q**3. Let t(s) = -s**3 + 15*s**2 + 10*s + 12. Let m(j) = 6*f(j) + 11*t(j). Factor m(o).
-5*o*(o + 1)*(o + 2)
Let c be (0 + 2)*(-3)/(-2). Suppose -47*d + 11513 = -425. Find g, given that -21*g - 507*g**4 - 27*g**2 + 250*g**4 + d*g**4 - 6 - 15*g**c = 0.
-2, -1
Factor -1/3*c - 5/6*c**2 - 1/6*c**4 - 2/3*c**3 + 0.
-c*(c + 1)**2*(c + 2)/6
Let c(p) be the first derivative of -3/8*p**4 + 3/80*p**5 - 3/2*p**2 - 4*p + 15 + 9/8*p**3. Let u(k) be the first derivative of c(k). Factor u(m).
3*(m - 4)*(m - 1)**2/4
Let l be 66600/228 + 4/(-38). Let l*v**3 - 37*v**2 - 151*v**3 - 146*v**3 - 18*v**2 = 0. Calculate v.
-11, 0
Let w(x) be the first derivative of x**6/14 + 169*x**5/35 + 1117*x**4/14 - 1382*x**3/7 + 899*x**2/14 + 841*x/7 + 2935. Solve w(t) = 0 for t.
-29, -1/3, 1
Factor -49/6 + 7/3*z - 1/6*z**2.
-(z - 7)**2/6
Let l(k) = 2*k + 4. Let a(c) = c - 11. Let o be a(11). Let w be l(o). Factor -5 + 4*i**w - 29*i**3 + 5 + 25*i**3.
4*i**3*(i - 1)
Suppose 3*p + 22 - 10 = 0. Let v be (2/(-4))/(6/240*p). What is u in 5*u + 4*u**5 + u**4 + 9*u**4 - 10*u**2 - 4*u**5 - v*u**5 = 0?
-1, 0, 1
Suppose 329*a - 333*a = -56. Let c be ((-6)/a)/(((-513)/18)/19). Determine d, given that c + 11/7*d + 9/7*d**2 = 0.
-1, -2/9
Let t = -523077 - -523079. Find f, given that -24/7*f**t - 2/7*f**3 - 96/7*f - 128/7 = 0.
-4
Let k = 513548 + -513546. Find o, given that 80/3*o + 5/3*o**k + 140/3 = 0.
-14, -2
Suppose -5*o + 2*p + 0*p + 200 = 0, 2*o - 101 = 5*p. Factor 8*t**4 - 4*t**5 - 16*t**2 + 12*t**3 - 37*t + o*t - 17*t.
-4*t*(t - 2)**2*(t + 1)**2
Let f(i) be the second derivative of -2*i - 1/3*i**4 - 16/3*i**3 - 24*i**2 + 3. Factor f(m).
-4*(m + 2)*(m + 6)
Let k(d) = -13*d**3 - 23*d**2 + 58*d - 16. Let f(t) = -12*t**3 - 24*t**2 + 56*t - 16. Suppose -30*w - 21 = -23*w. Let a(y) = w*f(y) + 2*k(y). Factor a(h).
2*(h - 1)*(h + 4)*(5*h - 2)
Let y(j) be the first derivative of 28/3*j**3 + 215 + 0*j**2 - 7/6*j**6 + 0*j - 103/5*j**5 - 17*j**4. Find w such that y(w) = 0.
-14, -1, 0, 2/7
Let d(u) be the second derivative of 3*u**5/100 - u**4/10 - 4*u**3/5 - 913*u. Factor d(m).
3*m*(m - 4)*(m + 2)/5
Solve -88*b - 14*b**4 + 9*b**4 + 7*b**4 - 50*b**3 + 332*b**2 - 576 - 107*b + 3*b = 0.
-1, 2, 12
Let p(m) = 8*m**2 + 4*m - 7. Let v(a) = 9*a**2 + 4*a - 9. Let l(z) = -4*p(z) + 3*v(z). Determine x, given that l(x) = 0.
-1, 1/5
Determine d so that 5*d - 132*d**2 - 53/4*d**3 + 0 = 0.
-10, 0, 2/53
Determine k, given that -2/5*k**2 - 24/5*k - 22/5 = 0.
-11, -1
Factor -27/5*v - 4/5 - 28/5*v**3 - 51/5*v**2.
-(v + 1)*(4*v + 1)*(7*v + 4)/5
Let z(d) = -d**2 + 3*d - 5. Let n(o) = 3396282*o**2 - 19134*o - 3. Let r(y) = -n(y) + 6*z(y). Factor r(b).
-3*(1064*b - 3)**2
Let c(j) be the third derivative of -j**5/210 + j**4/6 - 13*j**3/21 + 3900*j**2. Suppose c(u) = 0. Calculate u.
1, 13
Let l be 3/(-10) + (-676)/(-845). Factor l*u**2 - 1/2 + 1/4*u**3 - 1/4*u.
(u - 1)*(u + 1)*(u + 2)/4
Determine u so that 0 - 498/5*u**2 - 248/5*u - 252/5*u**3 - 2/5*u**4 = 0.
-124, -1, 0
Let p = -1575693/17 + 92689. Find j, given that -12/17 + 0*j**3 - 2/17*j**5 + 2/17*j + p*j**2 - 8/17*j**4 = 0.
-3, -2, -1, 1
Let y(r) be the second derivative of -2*r**7/189 - 8*r**6/27 + 44*r**5/45 - 2*r**4/27 - 86*r**3/27 + 44*r**2/9 + 780*r. Determine q so that y(q) = 0.
-22, -1, 1
Let d(f) = -2*f**3 + 59*f**2 - 427*f + 37. Let s be d(17). Let h(y) be the first derivative of 0*y + 0*y**2 + 26 - 1/20*y**5 + 1/4*y**4 - 1/3*y**s. Factor h(b).
-b**2*(b - 2)**2/4
Let u = -104 + 101. Let t be 68/(-51)*u/2. Find d such that 47*d + 0 + 225*d**t + 3 + 1 + 13*d = 0.
-2/15
Find u such that 15/2*u**3 - 74/3*u - 41*u**2 + 4 = 0.
-2/3, 2/15, 6
Let j(k) be the third derivative of -k**9/72576 + k**8/12096 + 19*k**5/60 - 65*k**2. Let z(f) be the third derivative of j(f). Factor z(d).
-5*d**2*(d - 2)/6
Suppose -5*y + 33 = -l, 8*y = 4*y + 5*l + 39. Find z such that -29*z**3 + 23*z + 30*z**4 - 2 - y - 14*z**2 - 7*z**5 + 13*z - 8*z**2 = 0.
-1, 2/7, 1, 2
Suppose 5*x = 5*q + 130, -4*x = 3*q + 68 - 11. Factor 2*d + 1/4*d**x - 9/4*d**2 + 0.
d*(d - 8)*(d - 1)/4
Let j = -871 - -78391/90. Let i(w) be the second derivative of j*w**4 + 2/45*w**3 - 14*w + 0 + 1/15*w**2. Factor i(v).
2*(v + 1)**2/15
Let y be (-72)/(-6) - 57/5. Suppose -h + 46 = 43. Solve 0*t**h - 6/5*t**2 + 0*t + 3/5 + y*t**4 = 0.
-1, 1
Let t(u) be the first derivative of u**3/15 - 16*u**2/5 + 256*u/5 + 732. Factor t(k).
(k - 16)**2/5
Let l(y) be the first derivative of -100/3*y**3 - 55/8*y**4 + 39 - 1/2*y**5 - 60*y**2 + 0*y. Factor l(k).
-5*k*(k + 3)*(k + 4)**2/2
Let j(k) be the first derivative of -30*k**2 - 180*k + 25/3*k**3 + 5/4*k**4 + 195. Solve j(p) = 0.
-6, -2, 3
Let h(n) = 2*n - 38. Let f be h(21). Suppose 308 = -f*z + 11*z. Let 44 + 2*k**2 - z - 2*k = 0. What is k?
0, 1
Let v be (2/26)/(5 - 240/52). Let i(o) be the first derivative of -25 + 4/3*o**3 + 14/5*o**2 + v*o**4 + 12/5*o. Factor i(c).
4*(c + 1)**2*(c + 3)/5
Let -357620*t + 35*t**4 + 4020*t**3 + 5*t**5 + 829440 - 36204*t**2 - 2676*t**2 - 437260*t + 260*t**4 = 0. What is t?
-24, 1, 12
Let n be (-5*44/(-11))/2. Let t be (-19)/(95/(-70)) - n. Suppose 1/3*i**5 - 1/3*i**3 - 11/3*i**2 + i**4 - 4/3 - t*i = 0. Calculate i.
-2, -1, 2
Let k(l) = 14*l**3 + 283*l**2 + 1008*l + 1018. Let j(c) = 5*c**3 + 95*c**2 + 336*c + 340. Let z(r) = -11*j(r) + 4*k(r). Factor z(o).
(o + 2)**2*(o + 83)
Let i(h) be the second derivative of -h**6/60 - h**5 + h**4/24 + 10*h**3/3 + 25*h - 32. Determine y so that i(y) = 0.
-40, -1, 0, 1
Factor 0 - 82*m + 47/3*m**2 - 1/3*m**3.
-m*(m - 41)*(m - 6)/3
Let t(m) be the third derivative of 230*m**2 + 7/6*m**4 - 2/45*m**5 + 0 - 20/9*m**3 + 0*m. Factor t(s).
-4*(s - 10)*(2*s - 1)/3
Let v = 5231959228 + -160050864765974/30591. Let z = 2/2781 - v. Factor 0 + 12/11*m**3 + 2/11*m**5 + z*m**4 + 2/11*m + 8/11*m**2.
2*m*(m + 1)**4/11
Let i(d) be the second derivative of 1/105*d**6 - 5 - 1/35*d**5 + 0*d**3 + 0*d**2 + 0*d**4 - 2*d. Factor i(m).
2*m**3*(m - 2)/7
Suppose -1049*g - 3*n - 6 = -1053*g, -3*n + 12 = 2*g. Supp