) = n*k(z) - 2*a(z). Factor x(b).
-5*(b + 6)**2
Let z(d) be the second derivative of 13*d**7/21 - d**6/2 - 27*d**5/20 + 7*d**4/6 + 11*d - 6. What is b in z(b) = 0?
-1, 0, 1/2, 14/13
Factor 58/5*v - 33/5 - v**2.
-(v - 11)*(5*v - 3)/5
Factor -531441/5 + 529983/5*a + 1/5*a**3 + 1457/5*a**2.
(a - 1)*(a + 729)**2/5
Let g(s) be the second derivative of -247*s - 23/18*s**4 + 0 + 20/3*s**2 + 1/15*s**6 + 28/9*s**3 - 14/15*s**5. Find t, given that g(t) = 0.
-1, -2/3, 1, 10
Let c be 2 + (-17)/(-51)*-6. Let i(f) be the first derivative of -f**5 + 0*f + 28 + 0*f**4 + c*f**2 + 5/3*f**3. Solve i(a) = 0 for a.
-1, 0, 1
Let g be (-3)/6*8 + 6. Factor -36 + 136 - 44*p - 76*p + 21*p**g - p**3.
-(p - 10)**2*(p - 1)
Let n(l) = -32*l**3 + 40*l**2 - 257*l + 295. Let p(m) = 46*m**3 - 62*m**2 + 386*m - 442. Let b(v) = -10*n(v) - 7*p(v). Solve b(t) = 0.
2, 3, 12
Factor -200/7 - 2/7*r**4 - 36/7*r**3 + 360/7*r - 122/7*r**2.
-2*(r - 1)**2*(r + 10)**2/7
Let t be -1*((-7 - -1) + (-20)/(-245)*70). Solve 10/7*i**3 - 8/7*i + 5/7*i**2 - 1/7*i**4 - 4/7 - t*i**5 = 0 for i.
-2, -1, -1/2, 1, 2
Let r(v) = 2*v**4 - v**3 + v**2 + 2. Let z(g) = -33*g**4 - 384*g**3 + 13449*g**2 - 36. Let l(x) = 18*r(x) + z(x). Solve l(f) = 0 for f.
0, 67
Let b(l) = -2*l**3 + 2*l**2 + l - 1. Let y(v) = -5*v**3 + 603*v**2 + 89403*v + 88801. Let j(a) = 6*b(a) - 2*y(a). Factor j(w).
-2*(w + 1)*(w + 298)**2
Let u(f) = -f**2 - 34*f + 15. Let q be u(-20). Find w such that -502*w + q*w + 18 - 12 - 438*w**2 = 0.
-1/2, 2/73
Let h = 88767/443860 - -1/88772. Suppose -h*t**2 - 14/5*t + 3 = 0. What is t?
-15, 1
Suppose -114 = -3*m - 2*g, -40 - 34 = -2*m - 2*g. Let f(h) be the first derivative of -1/15*h**3 - 8/5*h + m + 9/10*h**2. Factor f(v).
-(v - 8)*(v - 1)/5
Let i be (-5070)/(-135)*(-37 - -40) + (1 - 7). Determine q so that 0 - 16*q**4 - 656/9*q**3 - i*q**2 - 32*q - 10/9*q**5 = 0.
-6, -2, -2/5, 0
Let j(h) = h**2 - 10*h - 11. Let o be j(12). What is d in -12*d - 4*d**3 + 12*d**3 - 2*d**4 - 10*d**2 + 3*d + o*d = 0?
0, 1, 2
Let m(j) = -19*j**2 + 11257*j - 2617082. Let n(t) = -32*t**2 + 18764*t - 4361804. Let g(d) = -12*m(d) + 7*n(d). Factor g(k).
4*(k - 467)**2
Let t(g) be the second derivative of 3/20*g**5 + 1/120*g**6 + 47*g + 0 + 0*g**2 - 7/8*g**4 + 25/3*g**3. Let i(c) be the second derivative of t(c). Factor i(p).
3*(p - 1)*(p + 7)
Let i = 2407/26 - 7039/78. Suppose -46/3*k - 32/3 - 124/3*k**3 + 65*k**2 + i*k**4 = 0. What is k?
-2/7, 1, 16
Let f(o) = 4*o**2 - 1936*o + 3848. Let b(p) = -6*p**2 + 1938*p - 3842. Let j(q) = 4*b(q) + 5*f(q). Factor j(z).
-4*(z - 2)*(z + 484)
Let n be (10/21)/((-1836)/12240*(2 + 141/(-63))). Find h such that 2/3*h**4 + n*h**2 + 14*h**3 + 0 + 0*h = 0.
-20, -1, 0
Let d(q) be the first derivative of -1/2*q**6 + 9/2*q**4 + 9/2*q**2 - 52 + 0*q**5 + 8*q**3 + 0*q. Suppose d(p) = 0. Calculate p.
-1, 0, 3
Let x = -32 + 35. Suppose -x*g + 5*r + 177 = 0, 0*g + 4*g - 5*r = 241. Solve 0*n**3 - g*n**3 - 15*n**4 - 63*n**2 - 15*n + n**3 + 6 + 6*n**3 = 0.
-2, -1, 1/5
Factor -11/3*h**2 - 2/3*h**3 + 4*h + 0 + 1/3*h**4.
h*(h - 4)*(h - 1)*(h + 3)/3
Let w(k) be the third derivative of -k**5/300 + 23*k**4/40 + 36*k**3/5 + 13*k**2 - 4*k - 3. What is i in w(i) = 0?
-3, 72
Let b(i) = i**3 + 2*i. Let a(t) = -3*t**3 - t**2 + 37*t - 27. Let p(l) = l**3 + 10*l**2 - 8*l + 35. Let z be p(-11). Let h(o) = z*b(o) - a(o). Factor h(x).
(x - 1)*(x + 3)*(5*x - 9)
Let a(q) be the second derivative of 4/11*q**2 + 5/22*q**4 + 1/165*q**6 + 7/110*q**5 + 0 + 13/33*q**3 + 35*q. Factor a(p).
2*(p + 1)**3*(p + 4)/11
Suppose 1 = 5*q - 6*q. Let z be q/((-3)/(-18))*(-30)/9. Factor -2*a**3 - 10*a**2 + 3 - z + 9 - 16*a.
-2*(a + 1)*(a + 2)**2
Let o(a) be the third derivative of 1/42*a**7 - 1/4*a**5 - 5/24*a**4 + 0 + 38*a**2 + 1/24*a**6 + 5/3*a**3 + 0*a. Solve o(m) = 0.
-2, -1, 1
Factor -5776/7*c**2 - 152/7*c**3 + 0 + 0*c - 1/7*c**4.
-c**2*(c + 76)**2/7
Let o(n) be the third derivative of 2*n**7/315 + 11*n**6/45 + 11*n**5/3 + 26*n**4 + 72*n**3 - 932*n**2. Determine b, given that o(b) = 0.
-9, -6, -1
Let w(v) = 8*v**2 - 56*v - 46. Let t(r) = -17*r**2 + 114*r + 92. Let p(n) = 6*t(n) + 13*w(n). Factor p(x).
2*(x - 23)*(x + 1)
Let r = 171232 + -684923/4. Let -r - 1/4*n + 5/4*n**2 + 1/4*n**3 = 0. What is n?
-5, -1, 1
Let y = -58/10863 + 32705/21726. Factor -9/2*b**3 + 0 + 6*b**2 + y*b**5 + 6*b - 3*b**4.
3*b*(b - 2)**2*(b + 1)**2/2
Let i(c) be the second derivative of 0*c**2 + 19/50*c**5 + 14/15*c**4 + 4/75*c**6 + 22*c + 4/5*c**3 - 1. Factor i(u).
2*u*(u + 2)**2*(4*u + 3)/5
Let z(s) be the second derivative of -s**6/72 + s**5/12 - 5*s**4/24 - 17*s**3/6 + 27*s. Let x(y) be the second derivative of z(y). Factor x(c).
-5*(c - 1)**2
Let l(t) = 55*t**2 + 195*t + 170. Let n(x) = 8*x**2 - 11*x + 39*x - 34 - 20 + 122 - 44. Let k(u) = -3*l(u) + 20*n(u). Determine m, given that k(m) = 0.
-3, -2
Let k be ((-12)/4)/(15/(-20) - 0). Factor -j + j**2 - k*j + 263 - 259.
(j - 4)*(j - 1)
Let k = 20849 + -145941/7. Let h = 41/49 - -1/49. Suppose k*b**2 - h*b + 4/7 = 0. Calculate b.
1, 2
Let j(l) be the third derivative of -l**6/120 + l**4/6 + 5*l**2 - 105. Suppose j(y) = 0. What is y?
-2, 0, 2
Let b be 338/(-17) + 10/(-85). Let t be (-18)/(-360) - 39/b. Factor -4/3*y - 16/3 - 1/12*y**t.
-(y + 8)**2/12
Determine i so that 10*i**3 + 70*i - 2/3*i**4 - 130/3*i**2 - 36 = 0.
1, 2, 3, 9
Suppose 2*o = -2, -5*j - 23*o + 16 = -24*o. Let u(x) be the first derivative of 2/11*x**2 - 2/33*x**j - 6 - 2/11*x. Determine v so that u(v) = 0.
1
Let t = 30426 + -30426. Determine g, given that -2/5*g**3 + t - 1/5*g**4 + 0*g - 1/5*g**2 = 0.
-1, 0
Let a(p) = p**3 - 2*p**2 + 6. Let t be a(0). Let j(q) = 13*q**2 + 38*q + 20. Let k(o) = 15*o**2 + 39*o + 18. Let u(l) = t*j(l) - 5*k(l). Factor u(x).
3*(x + 1)*(x + 10)
Let n(t) be the first derivative of 5*t**4/6 + 5*t**3/3 + 5*t**2/4 - 46*t - 57. Let p(k) be the first derivative of n(k). Suppose p(y) = 0. Calculate y.
-1/2
Let g(n) be the second derivative of -n**4/30 + 1112*n**3/5 - 2782224*n**2/5 - 2101*n. Find c, given that g(c) = 0.
1668
Let t(i) be the first derivative of 6/7*i**2 + 146 - 2/21*i**3 - 16/7*i. Factor t(r).
-2*(r - 4)*(r - 2)/7
Let u be ((-11)/(-33))/(266/456). Factor 0 + 64/7*g**2 - 64/7*g + u*g**5 + 0*g**3 - 16/7*g**4.
4*g*(g - 2)**3*(g + 2)/7
Suppose 4*h - 2/7*h**2 - 80/7 = 0. Calculate h.
4, 10
Let v = 1259250 - 1259247. Let 9 + 15/2*b + 1/2*b**4 - 3/2*b**v - 7/2*b**2 = 0. Calculate b.
-2, -1, 3
Let n = -8606 + 25826/3. Let p(z) be the third derivative of -5/6*z**4 + 0*z + 33*z**2 + 0 + n*z**3 + 1/15*z**5. Factor p(t).
4*(t - 4)*(t - 1)
Determine q so that -50/11*q**4 + 0*q**2 - 92/11*q**3 - 2/11*q**5 + 0*q + 0 = 0.
-23, -2, 0
Let q(v) be the first derivative of -v**7/420 - v**6/240 + v**5/60 - 9*v**2 - v - 25. Let x(y) be the second derivative of q(y). Solve x(z) = 0 for z.
-2, 0, 1
Let s be 3520/(-528) + 14/(-6) + 1. Let c be 658/161 + 4 + s. Suppose 2/23*y**4 + 0*y + 2/23*y**5 - 2/23*y**3 + 0 - c*y**2 = 0. Calculate y.
-1, 0, 1
Let j(w) = w**2 - 6*w. Let p(b) = b**2 - 5*b. Let l(d) = d**2 + 11*d + 6. Let n be l(-10). Let q(f) = n*p(f) + 5*j(f). Factor q(s).
s*(s - 10)
Let t(h) = h**3 - 11*h**2 + 18*h - 3. Let y be t(10). Suppose -y*s + 70*s = -21. Determine i so that -2/21*i**s + 2/21*i**2 + 0 + 0*i = 0.
0, 1
Let q be (-493)/(-969) - (-75)/475. Solve 1/3*p**5 - 1/3*p**4 + 0 + 1/3*p**2 - p**3 + q*p = 0 for p.
-1, 0, 1, 2
Let j be -12*(-18)/72*1*1/1. Let y(g) be the second derivative of 0*g**2 - 2/15*g**6 + 0*g**5 + 8*g + 0*g**j + 1/3*g**4 + 0. Solve y(u) = 0 for u.
-1, 0, 1
Let z be 4*3/(-54) + (-65)/(-9). Let i(j) = -j**3 + 9*j**2 - 13*j - 3. Let o be i(z). Suppose 46*q - 47*q + q**5 - q**2 + 3*q**2 - 2*q**o = 0. What is q?
-1, 0, 1
Let z(p) = 3*p**3 - 24*p**2 + p + 24. Let u be z(8). Let w be (-26)/(-18) - -16*(-2)/u. Let 16/9 - w*s**2 + 2/9*s**3 - 8/9*s = 0. What is s?
-2, 2
Factor 311474*l - 311082*l - 16 - 1250*l**3 - 1355*l**2 - 945*l**2.
-2*(l + 2)*(25*l - 2)**2
Let d be (-4)/(-11 - (49 + -6)). Let k(z) be the third derivative of 13*z**2 + 0*z + 0 - 1/108*z**4 + d*z**3 - 1/270*z**5. Solve k(c) = 0.
-2, 1
Solve -2/9*q**2 + 2*q - 28/9 = 0 for q.
2, 7
Let n(f) be the third derivative of -f**5/120 + 95*f**4/48 - 31*f**3/2 - 4*f**2 + 67*f - 1. Find m such that n(m) = 0.
2, 93
Let k(i) = 5*i**3 - 716*i**2 + 699