c*p**2 - 6/5*p**5 + 2/5*p**3 = 0.
-1/3, 0, 1
Let b(s) = 2*s**3 + 8*s**2 - 108*s - 242. Let k(y) = 16*y**3 + 62*y**2 - 866*y - 1937. Let v(g) = -17*b(g) + 2*k(g). Suppose v(q) = 0. Calculate q.
-10, -2, 6
Factor -2/21*o**3 - 62*o - 38/7*o**2 + 9610/21.
-2*(o - 5)*(o + 31)**2/21
Suppose 397*o - 372 = 1613. Let i(h) be the second derivative of -5/6*h**3 - 3/80*h**o - 7/24*h**4 + 0 - h**2 - 26*h. What is u in i(u) = 0?
-2, -2/3
Let m(g) be the third derivative of g**5/270 + g**4/12 - 70*g**3/27 + 17*g**2 + 3*g. Find u such that m(u) = 0.
-14, 5
Let t = -1286 + 1302. Let u(r) be the first derivative of 1/5*r**5 - 4*r - 1/6*r**6 + t - 1/3*r**3 + 5/4*r**4 - 4*r**2. Find w, given that u(w) = 0.
-1, 2
Let m(n) = -2*n + 36*n**2 + 1 + 5*n - n**3 - 3 - 31*n**2. Let j be m(5). Let j*l**2 - 11*l**2 + 12 - 5*l**2 = 0. Calculate l.
-2, 2
Factor -4*s**3 + 6 + 0*s**2 - s - 3*s**4 + 16*s + s**3 + 13*s**2 - 4*s**2.
-3*(s - 2)*(s + 1)**3
What is p in 1/2*p**4 + 0 + 38*p - 8*p**3 - 61/2*p**2 = 0?
-4, 0, 1, 19
Suppose -2*k + 4585 = -5*g, -4*g - 2724 = 3*k + 944. Let o = 5507/6 + g. Suppose -o*d - 5/2*d**3 + 0 + 10/3*d**2 = 0. What is d?
0, 1/3, 1
Let b(m) be the third derivative of 10*m**2 + 1/4*m**4 + 0 + 0*m**3 - 3/20*m**6 - 1/30*m**5 + 3/35*m**7 + 2*m - 1/84*m**8. Let b(y) = 0. What is y?
-1/2, 0, 1, 3
Find q such that 0 + 1/2*q**3 + 6*q + 7/2*q**2 = 0.
-4, -3, 0
Let x(m) be the third derivative of m**6/420 + 2*m**5/3 - 283*m**4/84 + 142*m**3/21 - 67*m**2 - 14*m. Determine c, given that x(c) = 0.
-142, 1
Let q(r) = 19*r**3 - 13*r**2 + 54*r - 82. Let u(b) = -66*b**3 + 39*b**2 - 161*b + 247. Let t(m) = -21*q(m) - 6*u(m). Suppose t(o) = 0. What is o?
4, 5
Let s(v) be the second derivative of v**7/21 + 23*v**6/60 + 21*v**5/20 + 5*v**4/6 - 2*v**3/3 + 990*v. Factor s(a).
a*(a + 2)**3*(4*a - 1)/2
Let i(s) be the second derivative of -3*s**5/20 - 5*s**4/4 + s**3 + 36*s**2 + 3234*s. Factor i(t).
-3*(t - 2)*(t + 3)*(t + 4)
Let s be 4*1/1*(-8)/((-64)/36). Let a(h) be the third derivative of -2/525*h**7 + 0*h - 1/150*h**6 + s*h**2 + 0*h**4 + 0 + 0*h**5 + 0*h**3. Factor a(p).
-4*p**3*(p + 1)/5
Let l(s) be the second derivative of s**5/4 - 25*s**4/12 + 5*s**3/3 + 20*s**2 - 828*s. Let l(d) = 0. Calculate d.
-1, 2, 4
Let d(n) be the second derivative of n**6/10 + 9*n**5/5 - 49*n**4/4 - 24*n**3 + 270*n**2 + 26*n + 12. Determine t, given that d(t) = 0.
-15, -2, 2, 3
Factor 129/8*b + 135/4 - 3/8*b**2.
-3*(b - 45)*(b + 2)/8
Let i(c) be the third derivative of c**7/1575 - 37*c**6/900 + 14*c**5/15 - 352*c**4/45 + 1024*c**3/45 - 3*c**2 + 92. Find d, given that i(d) = 0.
1, 4, 16
Let w(t) = 2*t**2 + 2477*t + 70156. Let d be w(-29). Find f, given that -5/4*f**4 + 0*f + 1/4*f**d - 7/4*f**2 - 13/4*f**3 + 0 = 0.
-1, 0, 7
Let h(k) = -25*k**2 + 2286*k - 998. Let c be h(91). Find u such that 0*u + 2*u**2 - 1/2*u**5 + 0*u**c + 0 - 3/2*u**4 = 0.
-2, 0, 1
Let u be 2060/315 - (-3528)/(-1029). Factor 1/9*v**2 - u*v + 196/9.
(v - 14)**2/9
Let t(v) be the second derivative of -v**4/12 - 43*v**3/6 - 41*v**2 + 93*v + 6. Let t(p) = 0. What is p?
-41, -2
Let h(y) = -91*y + 55 - 60*y + 206*y - 81*y. Let k be h(2). Factor 150/7*n - 60/7*n**2 + 0 + 6/7*n**k.
6*n*(n - 5)**2/7
Let n(o) be the first derivative of -5*o**3/9 + 353*o**2/6 + 142*o/3 + 5004. Determine f so that n(f) = 0.
-2/5, 71
Let n(s) be the first derivative of s**8/1680 + s**7/140 + s**6/40 + s**5/30 + 22*s**3/3 + 80. Let z(t) be the third derivative of n(t). Factor z(g).
g*(g + 1)**2*(g + 4)
Suppose -8*d = -4*d. Let k = 8/201 - -1568/1005. Factor -4/5*o**2 + d - k*o.
-4*o*(o + 2)/5
Let c be (9/(-12))/(193/(-772)). Let x(w) be the third derivative of -5/24*w**4 + 43*w**2 + 0*w**c + 1/3*w**5 + 0*w + 0. Factor x(s).
5*s*(4*s - 1)
Let i(s) be the second derivative of -1/3*s**5 + 11/9*s**3 - 5/3*s**2 - 1/9*s**4 + 7/45*s**6 + 28*s - 1/63*s**7 + 2. Solve i(c) = 0.
-1, 1, 5
Factor 340 - 38 + 3276*v + 52 + 1632*v**2 - 4*v**3 + 1286.
-4*(v - 410)*(v + 1)**2
Let t = 363/350 - 29/50. Let q(p) be the second derivative of 25*p + 0 - t*p**6 - 2/21*p**3 - 32/147*p**7 - 1/35*p**5 + 0*p**2 + 2/7*p**4. Factor q(k).
-4*k*(k + 1)**2*(4*k - 1)**2/7
Let q be 16*((-15)/6 + (-2 - -5)). Find g such that 9*g**3 - 2*g**2 + 3*g**4 + g**2 - 11*g**2 - g - q*g + 12 - 3*g**2 = 0.
-4, -1, 1
Let o(g) be the first derivative of -31*g**5/150 + g**4/30 - 41*g**2 - 115. Let u(d) be the second derivative of o(d). Find q, given that u(q) = 0.
0, 2/31
Let h = -645373/7 - -93203. Let t = h + -1006. Factor -t*b**2 - 2*b + 6/7*b**3 - 6/7 + 4/7*b**4.
2*(b + 1)**3*(2*b - 3)/7
Let j(y) = y**4 + 12*y**3 - 27*y**2 + 32*y + 4. Let n(o) = -4*o**4 - 37*o**3 + 79*o**2 - 97*o - 14. Let g(c) = -21*j(c) - 6*n(c). Find f, given that g(f) = 0.
0, 2, 3, 5
Let u(f) = -f**3 - 12*f**2 - 13*f + 16. Let w be u(-11). Factor 4*p**2 - 11 + 13 + w + 15641*p - 15669*p.
4*(p - 5)*(p - 2)
Let d(f) be the second derivative of 0 + 2/9*f**3 - 4*f + 1/2*f**2 + 1/36*f**4. Determine u so that d(u) = 0.
-3, -1
Let i(t) be the third derivative of -t**7/7560 - t**6/3240 - 23*t**3/2 - t**2 + 6. Let m(o) be the first derivative of i(o). Let m(r) = 0. Calculate r.
-1, 0
Let u be ((-38144)/(-64368))/(2/36*3). Determine t, given that -u*t**3 + 0*t + 0 - 8/3*t**5 - 4/9*t**2 - 52/9*t**4 = 0.
-1, -1/6, 0
Let r(x) be the second derivative of 2*x**6/105 + 9*x**5/35 + 20*x**4/21 + 8*x**3/7 - 59*x - 1. Factor r(q).
4*q*(q + 1)*(q + 2)*(q + 6)/7
Let y(u) be the first derivative of u**5 - 45*u**4 + 270*u**3 - 550*u**2 + 465*u - 710. Let y(o) = 0. Calculate o.
1, 3, 31
Let j be (11/(-3))/(2/(24*1)). Let u be (j/110)/(4/(-50)). What is m in -9*m**3 + 21*m**3 - 81*m**2 - 27*m**4 - m**u + 4*m**5 + 69*m**3 = 0?
0, 3
Let r = 1295 + -390. Let x = r - 643. Solve -x*j**4 + 277*j**4 - 5*j**5 - 15*j**2 + 4*j**3 + j**3 = 0 for j.
-1, 0, 1, 3
Suppose 0 = 5*y - 307 + 107. Let d = -37 + y. Factor 3*q**2 - 45 + 57 - d*q - 9*q.
3*(q - 2)**2
Let j be (-45)/(-80) - 3/5. Let b = 169/240 + j. Find y, given that -b*y**2 + 0 + 1/2*y = 0.
0, 3/4
Let h(b) = -b**3 + 3*b**2 + 3*b - 4. Let y be h(2). Suppose 5 = -y*m + 29. Factor 4*k**m - 34*k**2 + 0*k**2 + 12 + 18*k**2 + 8*k**3 - 8*k.
4*(k - 1)**2*(k + 1)*(k + 3)
Let l(b) be the third derivative of 0*b + 121*b**2 + 0*b**3 + 7/1440*b**6 + 0 + 1/120*b**5 + 1/2520*b**7 + 0*b**4. Factor l(x).
x**2*(x + 1)*(x + 6)/12
Suppose -14*v + 150 = v. Solve 37*r**4 + 5*r**3 - v*r - 125*r**2 + 5*r**5 + 110*r**2 - 22*r**4 = 0.
-2, -1, 0, 1
Let k(z) be the first derivative of z**4/16 - 3*z**3/4 - 5*z**2/4 + 1022. Factor k(v).
v*(v - 10)*(v + 1)/4
Let j be -2 - 5*-6*(-3)/15. Let t be (13/((-78)/(-8)))/(j/(-12)). Factor -2/3*c + 4 - 2/3*c**t.
-2*(c - 2)*(c + 3)/3
Let k(n) = -11*n**2 + 67*n - 251. Let p = 108 + -105. Let h(q) = 145*q**2 - 870*q + 3265. Let b(x) = p*h(x) + 40*k(x). Factor b(d).
-5*(d - 7)**2
Factor 1/5*z**3 - 8*z**2 + 73/5*z + 114/5.
(z - 38)*(z - 3)*(z + 1)/5
Let n(h) be the first derivative of h**8/480 + h**7/336 - h**6/45 + h**5/60 - 26*h**3/3 - h**2 - 21. Let b(a) be the third derivative of n(a). Factor b(l).
l*(l - 1)*(l + 2)*(7*l - 2)/2
Solve -24/11 - 32/11*d + 30/11*d**3 + 14/11*d**4 + 2/11*d**5 + 10/11*d**2 = 0 for d.
-3, -2, -1, 1
Let h = 256 - 173. Find y such that h*y**2 + 32 - 2*y - 7*y + 5*y - 4*y - 87*y**2 = 0.
-4, 2
Suppose -x - r = -4, 4*x - 2*r = 2*r - 16. Suppose -6*h = -18 - x. Let -3*s**4 - 38*s**3 - 41*s**h + 6*s**2 + 82*s**3 = 0. Calculate s.
-1, 0, 2
Factor -2408/5*n**3 - 2/5*n**4 + 0*n + 0 + 0*n**2.
-2*n**3*(n + 1204)/5
Let n(s) be the second derivative of -s**6/20 - 567*s**5/40 + 579*s**4/4 - 583*s**3 + 1170*s**2 - 7490*s. Factor n(l).
-3*(l - 2)**3*(l + 195)/2
Let k = -115 + 267. Suppose 3*g - u - k = -5*u, 69 = g + 5*u. Factor -2*s**2 - 117 + 17 - 142 - g*s.
-2*(s + 11)**2
Factor 224/3*t**4 - 1729800*t + 4289904/5 - 41962/3*t**3 - 2/15*t**5 + 885732*t**2.
-2*(t - 186)**3*(t - 1)**2/15
Factor 5337/2*s**2 + 3164841*s + 3/4*s**3 + 1251167142.
3*(s + 1186)**3/4
Let u be (-13*(-60)/(-975))/(11/(-20)). Factor -u + 1/11*s**3 - 12/11*s + 0*s**2.
(s - 4)*(s + 2)**2/11
Factor -36*b**3 + 16*b**4 + 3549 - 4*b**4 + 267*b**2 - 2236*b - 11*b**4 + 26*b**2 + 157*b**2.
(b - 13)**2*(b - 7)*(b - 3)
Let h(s) = -29 - 82*s**2 - 79*s**2 + 49*s - 143*s - 62*s. Let u(z) = -54*z**2 - 52*z - 10. Let b(q) = -6*h(q