t j(p) = 0. What is p?
-1, 0, 3, 19
Let s(u) be the third derivative of 0*u + 1/63*u**5 - 43*u**2 + 8/21*u**3 + 1/9*u**4 + 1/1260*u**6 + 0. Suppose s(w) = 0. Calculate w.
-6, -2
Let u be (-99)/(-9) + (-11 - 0). Let a(z) be the second derivative of 0*z**2 + u + 0*z**4 + 0*z**3 - 1/4*z**5 - 1/6*z**6 - 27*z. Let a(o) = 0. What is o?
-1, 0
Suppose 0 = 5*v + 2*z, -v - v - 2*z - 6 = 0. Suppose 0 = -v*a + 5 - 1. Factor 8*n**a + 5*n**2 + 27 + 0*n**3 + 20*n**2 + 57*n + 3*n**3.
3*(n + 1)**2*(n + 9)
Let k(z) be the third derivative of z**8/3024 - 17*z**7/1890 + 7*z**6/120 + 3*z**5/20 + 10*z**2 - 5*z. Factor k(v).
v**2*(v - 9)**2*(v + 1)/9
Let f(c) be the third derivative of c**7/210 - 17*c**6/120 + c**5/4 + 17*c**4/24 - 8*c**3/3 - 213*c**2 - 6. Solve f(g) = 0 for g.
-1, 1, 16
Determine k, given that -5*k**4 - 910*k**2 - 33*k**3 + 81*k**3 - 9336 + 63096 + 107*k**3 - 8000*k = 0.
-7, 6, 16
Let g(h) be the first derivative of 25/6*h**2 + 35/9*h**3 - 1/5*h**5 - 5/12*h**4 - 4*h - 225. What is r in g(r) = 0?
-4, -1, 1/3, 3
Let h(c) be the first derivative of -2*c**3/3 + 314*c**2 - 626*c + 3386. Factor h(k).
-2*(k - 313)*(k - 1)
Suppose -2*i + 5*n - 17 = 0, 3*i - 25 = -2*i - n. Factor -26 - 12 + 6 + i*d**2 + 0*d**2 - 28*d.
4*(d - 8)*(d + 1)
Let f(y) be the first derivative of 1/24*y**6 - 11 + 0*y + 61/16*y**4 - 7/4*y**3 - 3/4*y**5 - 49/4*y**2. Factor f(b).
b*(b - 7)**2*(b - 2)*(b + 1)/4
Let y(d) = d**2 + 9*d + 5. Let h be y(0). Solve -75*u**3 + u**4 - 66*u**3 - 66*u**3 + 199*u**3 - h*u**4 - 4*u**2 = 0.
-1, 0
Find n such that 48336*n**2 + 6076352/5*n - 1755904/5 + 3188/5*n**3 + 14/5*n**4 = 0.
-76, 2/7
Let s be (357/(-42))/((-1)/(-2)). Let n(x) = -4*x - 65. Let b be n(s). Factor -1/12*a**2 + 0 - 1/12*a**b + 0*a.
-a**2*(a + 1)/12
Let d(o) be the third derivative of -135/2*o**4 + 35/24*o**6 - 24*o**5 + 0 + 0*o + 164*o**2 + 0*o**3 - 1/42*o**7. Find s, given that d(s) = 0.
-1, 0, 18
Let l(x) = -24*x + 116. Let j be l(5). Let g be 95/(-228) - j/6. Factor -1/4*m**3 - 1/4 + g*m + 1/4*m**2.
-(m - 1)**2*(m + 1)/4
Let g(p) be the second derivative of p**5/4 + 20*p**4/3 - 695*p**3/6 - 385*p**2 - 3594*p. Factor g(d).
5*(d - 7)*(d + 1)*(d + 22)
Suppose 2*u - 5*r - 19 = 0, -u = -2*u + 3*r + 9. Suppose 0 = u*w - 24*w + 48. Factor 2/3*d + 1/3*d**w + 0 + 4/3*d**3 + 5/3*d**2.
d*(d + 1)**2*(d + 2)/3
Let o(s) = 3*s**4 - 5*s**3 + 33*s**2 - 15*s - 8. Let i(u) = 8*u**4 - 18*u**3 + 100*u**2 - 46*u - 22. Let z(a) = 4*i(a) - 11*o(a). Factor z(b).
-b*(b - 1)**2*(b + 19)
Let z(u) = -u**2 + 12*u - 37. Let p be z(7). Let c be p/11 - (-230)/55. What is f in 3*f**2 - 1234*f**3 + 0*f**2 + 3*f**5 - 3*f**c + 1231*f**3 = 0?
-1, 0, 1
Let d(j) be the second derivative of -j**7/21 + 2*j**6/15 + 2*j**5/5 - j**4/3 - j**3 - 21*j - 87. Let d(h) = 0. What is h?
-1, 0, 1, 3
Find w such that -69*w**4 + 8 - 49*w**4 - 84*w - 192*w**4 + 100*w**5 + 232*w**2 - 16*w**3 + 70*w**4 = 0.
-1, 1/5, 1, 2
Let k(i) be the third derivative of -1/432*i**8 + 0*i - 1/135*i**5 + 2*i**2 + 1/315*i**7 - 1/27*i**3 - 5/72*i**4 + 15 + 11/540*i**6. Let k(n) = 0. Calculate n.
-1, -1/7, 1, 2
Let a be ((-15)/(-2))/((-65)/(-52)). Let m be (0 + -8)*a*(-8)/192. Let 1/8*d**3 + 0*d**m + 0*d + 0 = 0. What is d?
0
Let k be (6/21)/(1/14). Suppose 380*t + 39*t**2 - 19*t**2 + 87*t**2 + 8*t**k + 73*t**2 - 188 - 380*t**3 = 0. What is t?
-1, 1/2, 1, 47
Suppose 4 = -23*y + 60 + 36. Factor -4/9*b**3 + 8/9*b**2 + 16/9*b - 2/9*b**y + 0.
-2*b*(b - 2)*(b + 2)**2/9
Let q(c) be the third derivative of c**7/2520 + c**6/120 + 3*c**5/40 + 95*c**4/12 + 102*c**2 + c. Let l(a) be the second derivative of q(a). Factor l(y).
(y + 3)**2
Let j be -7 + (44 - (-23294)/(-532) - 285/(-42)). Solve 0 - 3/2*k + j*k**3 + 1/4*k**4 - 7/4*k**2 = 0.
-2, -1, 0, 3
Let h(z) be the third derivative of 107*z**5/15 + 109*z**4/6 + 4*z**3/3 - 1035*z**2. Factor h(q).
4*(q + 1)*(107*q + 2)
Suppose -164*m + 4 = 37*m + 4. Let l be 3/18 + 3/6. Let l + m*r - 2/3*r**2 = 0. Calculate r.
-1, 1
Let r(j) = 7*j**3 + 2*j**2 + 100*j - 632. Let m(s) = -9*s**3 - s**2 - 101*s + 630. Let i(p) = 4*m(p) + 5*r(p). Factor i(n).
-(n - 8)**2*(n + 10)
Let a(k) = 2*k**4 + k**5 + k**3 - 589 + 590 - 3*k**2 + 2*k**2 - k. Let n(h) = 20*h**4 + 15*h**3 - 45*h**2 + 30*h - 5. Let b(f) = 5*a(f) - n(f). Factor b(g).
5*(g - 1)**4*(g + 2)
Suppose -12*w + 10*w + 155*w - 459 = 0. Let u be 12/21 - (-46)/91. Factor -44/13*a**2 + 36/13*a**w + 2*a - 6/13 + 2/13*a**5 - u*a**4.
2*(a - 3)*(a - 1)**4/13
Let l(s) be the second derivative of 2*s**7/63 + 184*s**6/45 + 2113*s**5/15 - 274*s**4/9 - 12328*s**3/9 + 8464*s**2/3 - 2*s - 143. Determine h so that l(h) = 0.
-46, -2, 1
Determine c, given that 5384/9*c**2 + 25088/9 - 2688*c + 24*c**3 + 2/9*c**4 = 0.
-56, 2
Suppose -u = 2*p - 44, -3*p + 5*p + 2*u - 40 = 0. Factor 100 - p*z + 8*z**2 - 13*z - 3*z**2 - 68*z.
5*(z - 20)*(z - 1)
Let z = -57 - -63. Let a be (1 + 2*z/(-4))*-2. Factor -4*o**3 - 2*o**3 - 93*o**4 - 98*o**a + 6*o + 2*o**2 + 189*o**4.
-2*o*(o - 1)*(o + 1)*(o + 3)
Let c(f) be the second derivative of 3*f**5/40 - 39*f**4/8 - f**3/4 + 117*f**2/4 - 54*f - 4. Solve c(y) = 0 for y.
-1, 1, 39
Let -365/6*i**2 + 6*i**3 + 25*i + 1500 - 1/6*i**4 = 0. What is i?
-4, 10, 15
Let m = -38/9 - -337/72. Let t(l) be the third derivative of m*l**4 - 21*l**2 + 1/120*l**6 + l**3 + 0*l + 1/10*l**5 + 0. Factor t(v).
(v + 1)*(v + 2)*(v + 3)
Let r be 10/(-45) + (-608)/18. Let v = r + 35. Solve -3 + 5 - 2*h**2 - h + v = 0.
-3/2, 1
Let t be 14/(-2) - (-33 - -44 - 23). Let x(p) be the first derivative of 39 + 5/3*p**3 - t*p + 5/2*p**2 - 5/4*p**4. Let x(z) = 0. Calculate z.
-1, 1
Let d(z) = -20*z - 5. Let y be d(-9). Let g = 889/5 - y. Determine i, given that 30*i + g*i**3 + 88/5*i**2 + 36/5 = 0.
-3, -2/7
Let a be ((-4)/(-54))/((-10)/(-18)). Let k(u) be the second derivative of a*u**4 - 4/15*u**3 + 0*u**2 - 1/50*u**5 + 0 + 8*u. Factor k(l).
-2*l*(l - 2)**2/5
Factor -1 + 3*d**2 + 213 - 426*d + 110 + 104 - 3.
3*(d - 141)*(d - 1)
Let h(z) be the second derivative of -z**6/120 - 19*z**5/40 - 45*z**4/4 - 567*z**3/4 - 8019*z**2/8 - 6533*z. What is a in h(a) = 0?
-11, -9
Determine v so that -193*v**5 - 348*v**3 + 132*v**5 + 50*v**4 - 674*v + 764*v**2 + 59*v**5 + 210 = 0.
1, 7, 15
Let g(v) = -10*v**3 - 588*v**2 + 298*v + 888. Let b(i) = -33*i**3 - 1763*i**2 + 892*i + 2664. Let r(n) = -4*b(n) + 14*g(n). Factor r(l).
-4*(l + 1)*(l + 148)*(2*l - 3)
Find s, given that -1/3*s**2 - 53/3*s - 592/3 = 0.
-37, -16
Factor 224*h**2 + 448*h**4 + 2596*h**3 - 2*h**5 + 53*h**2 + 22*h**5 + 691*h**2.
4*h**2*(h + 11)**2*(5*h + 2)
Factor 16244787/5 - 13962/5*w + 3/5*w**2.
3*(w - 2327)**2/5
Let n(r) be the first derivative of 4*r**3/3 - 340*r**2 - 3854. Determine j, given that n(j) = 0.
0, 170
Let n(a) be the first derivative of -2*a**7/315 - a**6/90 + a**5/45 + a**4/18 - 17*a**2 - 11. Let m(r) be the second derivative of n(r). Factor m(i).
-4*i*(i - 1)*(i + 1)**2/3
Let a(s) = -10*s + 102. Let u be a(10). Factor 3*j**u - 259 + 507 - 251.
3*(j - 1)*(j + 1)
Let o(f) = 30*f**4 + 390*f**3 - 12864*f**2 - 182070*f - 114. Let p(d) = -4*d**4 - 52*d**3 + 1715*d**2 + 24276*d + 15. Let a(q) = 10*o(q) + 76*p(q). Factor a(g).
-4*g*(g - 21)*(g + 17)**2
Let k be (36 + 0)/6*2*4/16. Let c(q) be the second derivative of q**k + 0 - 22*q + 0*q**2 + 1/4*q**4. Factor c(u).
3*u*(u + 2)
Find o such that 32*o**2 - 28*o**2 + 18*o**4 + 49*o**2 + 57*o**2 + 30 - 38*o**3 - 106*o - 14*o**4 = 0.
1/2, 1, 3, 5
Let z(h) be the first derivative of -10*h**6 + 1028*h**5/35 - 86*h**4/7 - 80*h**3/21 + 16*h**2/7 - 10302. What is u in z(u) = 0?
-2/7, 0, 1/3, 2/5, 2
Let f(g) be the first derivative of -2/105*g**5 + 220 - 1/63*g**6 + 0*g**3 + 0*g + 0*g**2 + 1/21*g**4. Factor f(d).
-2*d**3*(d - 1)*(d + 2)/21
Let -14/3*u**3 + 2/3*u**4 + 0 + 4*u**2 + 0*u = 0. What is u?
0, 1, 6
Let x(j) be the second derivative of 10/3*j**3 - 1/2*j**5 - 10*j**2 + 3 + 5/4*j**4 - 33*j - 1/6*j**6. Factor x(n).
-5*(n - 1)**2*(n + 2)**2
Suppose -311*d**2 - 542*d**2 - 465*d**2 + 60 - 111*d + 72 + 1096*d**2 + 21*d**3 = 0. What is d?
-1, 4/7, 11
Suppose -101 = 3*m + 4*t - 168, 3*m - 4*t = 83. Let x(z) be the first derivative of -m + z**2 - 1/2*z**3 + 1/10*z**5 + 2*z - 1/4*z**4. Factor x(y).
(y - 2)**2*(y + 1)**2/2
Let j(x) = -x**5 - x**4 - x**3 + x**2 - 4*x. Let k(p) = -9*p**5 - 31*p**4 + 20*p**3 + 774*