ivative of t**5/180 - 487*t**4/36 + 973*t**3/18 + 12909*t**2. Factor j(r).
(r - 973)*(r - 1)/3
Determine j so that 33/2*j**3 - 1/2*j**2 + 0 + 1/2*j**4 - 33/2*j = 0.
-33, -1, 0, 1
Let y(a) be the first derivative of -1/270*a**5 + 0*a**3 + 0*a - 1/108*a**4 - 17 - 6*a**2. Let o(q) be the second derivative of y(q). Factor o(k).
-2*k*(k + 1)/9
Let l(t) be the first derivative of -t**6/150 + 2*t**5/25 - t**4/3 + 8*t**3/15 + 148*t - 42. Let d(i) be the first derivative of l(i). Factor d(v).
-v*(v - 4)*(v - 2)**2/5
Let c be -9 - 13*(-418)/494. Let -27/4 - 1/4*w**4 - 9*w**c + 27/2*w + 5/2*w**3 = 0. Calculate w.
1, 3
Suppose 12*o = 7*o + 20, 2*q - 4*o = -10. Let r(h) be the first derivative of -1/19*h**2 + 0*h - 18 - 2/57*h**q. Factor r(p).
-2*p*(p + 1)/19
Factor -1044 - 801*o - 199*o - 273*o**2 - o**3 - 2*o**3 - 56*o.
-3*(o + 2)**2*(o + 87)
Let y be 152/6*(-4140)/(-960). Let t = y - 435/4. Let -t*b**4 + 0 + 1/2*b**2 + 5/2*b**3 - 5/2*b = 0. Calculate b.
-1, 0, 1, 5
Let h(z) = z**2 + 19*z + 53. Let t be h(-16). Solve 96*a + 36 - a**t + 14*a**5 - 4*a**5 + 11*a**4 + 47*a**3 - 8*a**5 + 97*a**2 = 0.
-3, -2, -1
Let m(i) = -6*i**2 - 14*i**2 + 140*i - 95 + 8*i + 11 - 6*i**3. Let u(f) = -6*f**3 - 20*f**2 + 146*f - 84. Let d(a) = 4*m(a) - 6*u(a). Factor d(z).
4*(z - 3)*(z + 7)*(3*z - 2)
Let a(y) be the third derivative of -y**5/45 - 37*y**4/6 + 224*y**3/9 - 1271*y**2. Factor a(g).
-4*(g - 1)*(g + 112)/3
Let y(r) be the first derivative of -r**6/9 + 22*r**5/15 + 15*r**4/2 - 126*r**3 - 2879. Suppose y(z) = 0. What is z?
-7, 0, 9
Let b = 6916 + -6895. Let m(g) be the third derivative of -7/12*g**5 + 0 + 0*g - 10*g**3 - 1/24*g**6 - 10/3*g**4 - b*g**2. Factor m(z).
-5*(z + 2)**2*(z + 3)
Let 752050/11*x + 6496/11*x**3 + 113880/11*x**2 + 1098500/11 + 128/11*x**4 = 0. What is x?
-65/4, -2
Let x be (-12)/21 - (-608)/(-112). Let v be ((-6125)/42)/25 - x. Factor v - 1/3*j + 1/6*j**2.
(j - 1)**2/6
Suppose -31470 + 31470 = -45*o. Suppose -10*n + 5/4*n**2 + o = 0. Calculate n.
0, 8
Suppose 4*d - 4*n + 92 = 8*d, 2*n = -5*d + 136. Let i(v) be the third derivative of 0*v + 1/420*v**5 + 1/7*v**3 - d*v**2 - 5/168*v**4 + 0. Factor i(j).
(j - 3)*(j - 2)/7
Let z be (2/(-14)*2)/(6200/(-3255)). Let j(a) be the second derivative of 3/2*a**2 - 1/4*a**4 + 3*a + 0 + z*a**5 - 1/2*a**3. Suppose j(p) = 0. Calculate p.
-1, 1
Suppose 4961/3*h + 27*h**2 + 1/9*h**3 + 14641/9 = 0. What is h?
-121, -1
Let t(y) = 4*y**3 - 17*y**2 - 180*y + 710. Let c(h) = 4*h**3 - 18*h**2 - 180*h + 712. Let v(z) = -5*c(z) + 6*t(z). Factor v(w).
4*(w - 5)**2*(w + 7)
Let w(l) be the second derivative of l**6/210 - 6*l**5/35 + 33*l**4/28 - 38*l**3/21 - 456*l. Factor w(f).
f*(f - 19)*(f - 4)*(f - 1)/7
Let k(d) be the first derivative of -3*d**4/4 - 59*d**3 - 1056*d**2 + 15360*d - 1901. Factor k(j).
-3*(j - 5)*(j + 32)**2
Solve -171 + 3/7*z**3 + 1389/7*z - 195/7*z**2 = 0 for z.
1, 7, 57
Let j(x) = -x**2 - 17*x + 3. Let i be j(-17). Factor 128*f**2 + 7*f**3 + i*f**3 - 6*f**3 - 306*f + 1330*f.
4*f*(f + 16)**2
Determine s, given that -40*s**3 - 16/3*s**2 + 0*s + 10*s**5 + 0 + 4/3*s**4 = 0.
-2, -2/15, 0, 2
Let h(f) be the first derivative of 4*f**4/7 - 4*f**3/21 - f**2/7 + 2284. Factor h(j).
2*j*(2*j - 1)*(4*j + 1)/7
Let u(a) be the first derivative of a**6/6 + 9*a**5/5 + 7*a**4/4 - 3*a**3 - 4*a**2 + 948. Factor u(n).
n*(n - 1)*(n + 1)**2*(n + 8)
Let u(z) be the first derivative of -z**3/12 + 263*z**2/8 + 2018. Find l such that u(l) = 0.
0, 263
Let w(t) = -9*t**3 + 2105*t**2 - 549157*t - 551250. Let h(l) = -19*l**3 + 4211*l**2 - 1098315*l - 1102500. Let j(k) = -14*h(k) + 30*w(k). Factor j(f).
-4*(f - 525)**2*(f + 1)
Suppose 0 = 766*w - 691*w. Let v(z) be the second derivative of 0 - 24*z - 3/35*z**7 + w*z**2 + 34/15*z**4 + 8/5*z**3 + 19/25*z**5 - 7/25*z**6. Solve v(m) = 0.
-3, -2/3, 0, 2
Let m(f) be the second derivative of f**5/220 - 11*f**4/3 + 2662*f**3/3 + 146*f - 11. Factor m(t).
t*(t - 242)**2/11
Let i = 4/541 + -21143/5951. Let a = 383/77 + i. Factor -16/7*q**2 + 2/7*q + 4/7 + a*q**3.
2*(q - 1)**2*(5*q + 2)/7
Let a = -4178 + 4181. Let z(w) be the third derivative of 0 + 0*w**4 + 13*w**2 + 1/315*w**7 - 1/90*w**5 + 0*w + 0*w**6 + 0*w**a. Suppose z(m) = 0. What is m?
-1, 0, 1
Let a be -25 - (714/(-17) - -15). Find f, given that -52/7*f - 96/7 - 2/7*f**a = 0.
-24, -2
Suppose -14 = -5*r + 1. Let u(g) = g**3 + g**2 - g + 1. Let t be u(1). Factor n**3 + 3*n**3 - r*n**t - n + 0*n**2.
n*(n - 1)*(4*n + 1)
Let k(m) be the second derivative of -m**5/190 + 37*m**4/114 - 34*m**3/57 - 72*m**2/19 - 4684*m - 1. Solve k(j) = 0.
-1, 2, 36
Let u(k) be the second derivative of 0 - 1/84*k**4 + 2/21*k**3 - 145*k - 3/14*k**2. Let u(d) = 0. Calculate d.
1, 3
Let r = 24/8917 - -8869/17834. Find k, given that 0*k**3 + 5/8*k**2 + 0*k - 1/8*k**4 - r = 0.
-2, -1, 1, 2
Factor -1/2*o**2 + 16*o - 30.
-(o - 30)*(o - 2)/2
Let c(o) be the second derivative of -14/3*o**2 + 0 + 1/60*o**5 + 16/9*o**3 - 11/36*o**4 + 79*o. Determine k so that c(k) = 0.
2, 7
Let y be (-9)/(-36)*-6 - (4 - 34/4). Let n(l) be the first derivative of -41 + 2/57*l**y + 1/19*l**2 - 4/19*l. Solve n(k) = 0 for k.
-2, 1
Let n(v) be the third derivative of -v**6/40 + 2*v**5/5 + 15*v**4/8 - 27*v**3 - 819*v**2. Determine i so that n(i) = 0.
-3, 2, 9
Let v(q) be the second derivative of -q**6/75 + 1326*q**5/25 - 439569*q**4/5 + 388578996*q**3/5 - 193220905761*q**2/5 + 464*q. Factor v(f).
-2*(f - 663)**4/5
Let x(r) = 21*r**2 + 138*r - 1887. Let m(z) be the first derivative of 2*z**3/3 - z**2/2 - z + 21. Let i(h) = 12*m(h) - x(h). Let i(p) = 0. Calculate p.
25
Let x(k) be the third derivative of -1/42*k**7 + 0 - 3/2*k**5 - 25/6*k**3 - 4*k**2 - k + 1/3*k**6 + 10/3*k**4. Factor x(t).
-5*(t - 5)*(t - 1)**3
Let v be 7040/22880 + 70/26 + 0. Let 0 + 4/5*g**4 + 0*g**2 + 8/5*g**v + 0*g = 0. Calculate g.
-2, 0
Let x = 18 - 15. Factor -3*h**3 + 31*h**4 + 32*h**4 - 12*h**2 + 3*h**x - 60*h**4.
3*h**2*(h - 2)*(h + 2)
Let p be (-123)/(-12) + (125 - 135). Factor -1/2*b - 3/4*b**2 + 0 + 0*b**3 + p*b**4.
b*(b - 2)*(b + 1)**2/4
Let u(g) be the first derivative of 78 + 26/3*g**3 + 19*g**2 + 1/2*g**4 - 66*g. Determine a, given that u(a) = 0.
-11, -3, 1
Let o(y) be the first derivative of -y**3/6 - 215*y**2 - 92450*y + 6533. Factor o(w).
-(w + 430)**2/2
Solve 39*f**2 + 3/5*f**3 + 0 + 0*f = 0.
-65, 0
Suppose 29 = -3*d - 5*l - 19, 33 = -d + 4*l. Let k be 14/(-2 - d/9) + 0. Solve 2*u**2 + 10*u + k - 13*u + 19*u - 10 = 0 for u.
-4
Let m(i) be the second derivative of 0 + 55*i + 1/30*i**4 + 1/30*i**3 - 1/100*i**5 - 1/5*i**2. What is a in m(a) = 0?
-1, 1, 2
Factor -3*l - 21*l - 7*l**2 + l**5 - l**4 + 16 - 16419*l**3 - 8*l**4 + 16442*l**3.
(l - 4)**2*(l - 1)**2*(l + 1)
Determine h, given that 206/5*h**2 + 4/5*h**5 + 242/5*h**4 - 1016/5*h - 448/5 + 1012/5*h**3 = 0.
-56, -4, -1, -1/2, 1
Let m(v) = v**2 - v - 6. Let w be m(4). Suppose -w*x + 4 = -8. Factor -4*k**2 + 6*k**2 + 3*k**3 + x*k**3 - 4*k**2 - 3*k**4.
-k**2*(k - 1)*(3*k - 2)
Let h = 3903775/21 - 185860. Let g = 103/3 - h. Find d, given that 10*d + 22/7*d**2 + g*d**3 + 50/7 = 0.
-5, -1
Suppose 12*m = -1565 + 1325. Let p be 10 - (0 + (-150)/m). Suppose -4*o**3 - 3 + 3/2*o**5 + 7*o**2 - 4*o**4 + p*o = 0. What is o?
-1, 2/3, 1, 3
Let z(f) = 19*f**3 - 1716*f**2 + 9655*f - 5654. Let s(p) = 20*p**3 - 1700*p**2 + 9655*p - 5655. Let v(q) = 4*s(q) - 5*z(q). Factor v(c).
-5*(c - 113)*(c - 5)*(3*c - 2)
Suppose -5*c**3 + 469*c + 18*c**2 + 420 - 9*c + 17*c**2 = 0. What is c?
-6, -1, 14
Let l(h) = 2*h**2 + 9*h - 3. Let m be l(-5). Let -4*c**m + 12*c + 3*c**2 + 3*c**2 + 2*c**3 - 12*c**2 = 0. What is c?
0, 2, 3
Let t(v) = v**2 + 24*v - 21. Let c be t(-25). Factor -c*j**3 + 4*j**2 - 2*j**2 + 10*j**3 - 4*j**3.
2*j**2*(j + 1)
Suppose -7*v - 1 + 78 = 0. Let s(d) be the second derivative of 0*d**4 - 1/3*d**2 + 1/45*d**6 - 2/9*d**3 - v*d + 1/15*d**5 + 0. Factor s(l).
2*(l - 1)*(l + 1)**3/3
Let d = -1379 - -1382. Let l(v) be the third derivative of -1/15*v**5 + 0 + 0*v**d + 1/15*v**6 + 18*v**2 + 0*v + 1/48*v**4. Factor l(z).
z*(4*z - 1)**2/2
Let v = 1 + 3. Suppose -4*p + 4 = 5*r, -5*r + 2*r - 4*p = v. Factor z**2 - 6*z**3 - 9*z**2 + r*z**3.
-2*z**2*(z + 4)
Find q, given that -2002/3*q - 1002001/3 - 1/3*q**2 = 0.
-1001
Suppose -4*y = -2*b - 2, -6 = -2*y - y. Factor 2*d**3 + 12*d + d*