 + 0*k**3 - 1/66*k**4 + 0*k. Factor l(f).
2*f*(f + 1)*(7*f - 2)/11
Suppose z = 4*d + 10 - 3, z - 5*d - 7 = 0. Let g be 0 + -1 + 28/z + -1. Suppose -6*j + 5*j**g - 6*j**4 + 16*j + j**4 + 0*j**2 - 10*j**3 = 0. Calculate j.
-2, -1, 0, 1
Let q = -86329/5 + 17368. Let r = q - 102. Factor 3/5*l + 3/5*l**2 + 1/5 + r*l**3.
(l + 1)**3/5
Let r(f) be the third derivative of 1/6*f**4 - 1/90*f**5 - 1/10*f**6 + 0 + 0*f**3 + 1/21*f**7 + 193*f**2 - 1/252*f**8 + 0*f. Solve r(o) = 0 for o.
-1/2, 0, 1, 6
Factor d**2 - 84*d**3 + 14751*d**4 - 76*d**5 - 5*d**2 - 14907*d**4.
-4*d**2*(d + 1)**2*(19*d + 1)
Let f(z) be the first derivative of -4*z**3/3 - 144*z**2 - 5148*z - 2957. Suppose f(y) = 0. What is y?
-39, -33
Let y(s) be the third derivative of 1/210*s**5 + 0*s + 76*s**2 - 5/168*s**4 + 0 - 1/7*s**3 + 1/840*s**6. Factor y(f).
(f - 2)*(f + 1)*(f + 3)/7
Let 2742*p - 800 + 595*p**2 - 1738*p - 1003*p**3 + 218*p**4 - 13*p**4 - p**5 = 0. Calculate p.
-1, 1, 4, 200
Let y(p) be the first derivative of -p**6/15 - 8*p**5/25 + 28*p**3/15 + 17*p**2/5 + 12*p/5 - 1331. Determine i, given that y(i) = 0.
-3, -1, 2
What is i in -12321 - 9/4*i**4 - 7917/4*i**2 - 19869*i + 303/2*i**3 = 0?
-6, -2/3, 37
Factor 0 + 24/7*k**2 + 3*k**3 + 5/7*k**4 + 4/7*k.
k*(k + 2)**2*(5*k + 1)/7
Let f(d) = d**2 + 728*d + 80512. Let b be f(-136). Factor 2/13*q**4 + b + 50/13*q**2 - 24/13*q - 28/13*q**3.
2*q*(q - 12)*(q - 1)**2/13
Let c = -359 - -465. Suppose 11*n - c = -42*n. Factor -4/3 - 2*d**3 + 2*d + 2/3*d**4 + 2/3*d**n.
2*(d - 2)*(d - 1)**2*(d + 1)/3
Let d be (-375)/(-50) - (-2)/(-4). Suppose d = -a - 3*o, -a + o - 4 + 9 = 0. Determine g so that -3/5*g - 18/5 + 3/5*g**a = 0.
-2, 3
Let u(q) = -q**3 + 2*q**2 - 2*q - 9. Let d(b) = -2*b**3 + 54*b**2 + 435*b - 517. Let h(z) = -2*d(z) + 6*u(z). Factor h(c).
-2*(c - 1)*(c + 14)*(c + 35)
Let b(q) be the second derivative of q**4/32 + 23*q**3/16 + 33*q**2/8 + 211*q. Let b(r) = 0. Calculate r.
-22, -1
Let s be 2/5 + 143*(-54)/(-1755). Suppose -s*m + 26/5 - 2/5*m**2 = 0. Calculate m.
-13, 1
Let c(k) be the second derivative of k**6/135 - 79*k**5/90 - 9*k**4/2 - 245*k**3/27 - 82*k**2/9 - 30*k - 93. Let c(p) = 0. What is p?
-1, 82
Let b(q) be the first derivative of -q**5/10 + 61*q**4/8 - 59*q**3/6 - 61*q**2/4 + 30*q - 1696. Solve b(y) = 0.
-1, 1, 60
Determine s so that 64/11*s**3 + 68/11*s + 2/11*s**4 + 0 - 134/11*s**2 = 0.
-34, 0, 1
Suppose -2998/3*l - 8/3*l**2 + 250 = 0. What is l?
-375, 1/4
Let g be (-60)/50 + (-10846)/(-580). Let f = 35 - 15. Factor -40*r**4 + 5/2*r + 0 + f*r**3 + g*r**2.
-5*r*(r - 1)*(4*r + 1)**2/2
Let y = -29 - -30. Suppose y - 42 = -5*f - u, -10 = -f - 2*u. Factor 2*h**4 + 0*h**2 + 24*h + 11*h**2 + 12*h**3 + 18*h**2 + f - 3*h**2.
2*(h + 1)**2*(h + 2)**2
Let r(z) be the second derivative of -z**5/10 + 3*z**4 + 108*z**3 - 5832*z**2 + 5*z - 153. Factor r(w).
-2*(w - 18)**2*(w + 18)
Let b be 131/210 - (-270)/(-450). Let j(d) be the second derivative of d + 0*d**2 - d**4 + 3/2*d**3 + 2/15*d**6 - 1/10*d**5 + 0 + b*d**7. Factor j(g).
g*(g - 1)**2*(g + 3)**2
Let c(p) = -p**2 - 19*p - 23. Let z be c(-13). Suppose -z*u + 49*u = 0. Find i, given that u - 4/7*i**5 + 4/7*i**2 + 0*i + 4/7*i**3 - 4/7*i**4 = 0.
-1, 0, 1
Let u(d) = 12*d**3 + 273*d**2 - 2100*d + 1830. Let m(j) = 3*j**3 + 68*j**2 - 525*j + 458. Let b(n) = -15*m(n) + 4*u(n). Suppose b(f) = 0. Calculate f.
-30, 1, 5
Suppose 8*y = y. Suppose y = 35*c - 26*c. Determine h, given that -1/5*h**3 + c*h + 0 + 1/5*h**2 = 0.
0, 1
Factor -2*z**3 + 20 + 92*z + 1636*z**2 + 60 - 1626*z**2.
-2*(z - 10)*(z + 1)*(z + 4)
Let k = 1246 - 1239. Let f(a) be the third derivative of -1/220*a**6 - 1/132*a**4 + 0 - 1/1155*a**k - 1/110*a**5 + 0*a**3 + 9*a**2 + 0*a. Factor f(o).
-2*o*(o + 1)**3/11
Suppose -4*s = -0 - 44. Suppose 5*j = -31 + s. Let n(q) = 3*q**2 + 12*q - 11. Let x(t) = -t**2. Let r(y) = j*x(y) - n(y). Factor r(z).
(z - 11)*(z - 1)
Suppose 0 = -2*t + a - 45, -27*t = -23*t + 5*a + 83. Let r be (-924)/(-114) + -8 - t/152. Factor 3/4*b**2 - r*b**4 - 1/4*b**3 + 1/4*b - 1/2.
-(b - 1)**2*(b + 1)*(b + 2)/4
Let a = 67 - 49. Suppose a*h = -2*h + 280. Factor -h*x**3 - 9*x**4 - 12*x**2 - 2*x**3 - 12*x**4 + 17*x**4.
-4*x**2*(x + 1)*(x + 3)
Let h(b) be the third derivative of b**5/50 + 1799*b**4/30 - 160*b**3 - 642*b**2. Factor h(x).
2*(x + 1200)*(3*x - 2)/5
Suppose 2320*n - 2321*n = -2 - 4. Let x(w) be the second derivative of -21*w + 0 + 1/120*w**5 - 1/36*w**3 + 0*w**2 - 1/72*w**4 + 1/180*w**n. Factor x(t).
t*(t - 1)*(t + 1)**2/6
Let p be 109/((-133525)/50) - (0 - (-58)/(-49)). Let x = 3/7 + -1/7. Determine k so that 10/7*k - x*k**5 - 4/7*k**2 + 8/7*k**4 - p*k**3 - 4/7 = 0.
-1, 1, 2
Suppose -220*s + 16 - 47 = -248*s + 25. Factor 1/3*b**3 - 7/3*b + 2/3*b**s + 4/3.
(b - 1)**2*(b + 4)/3
Let i(a) be the first derivative of -2*a**3/15 - 22*a**2/5 + 336*a/5 + 239. Solve i(y) = 0 for y.
-28, 6
Let o be (-539)/(-126) + 21 + -1 + 1991/(-99). Find f such that 5/3*f + 1/6*f**2 + o = 0.
-5
Let c(o) be the third derivative of 0 + 156*o**2 + 3/20*o**5 - 1/70*o**7 + 37/8*o**4 + 0*o - 13*o**3 - 13/40*o**6. Factor c(k).
-3*(k - 1)**2*(k + 2)*(k + 13)
What is k in -1606/13*k + 3204/13 + 2/13*k**2 = 0?
2, 801
Let u(r) = -3*r**2 - 10*r - 1. Let g be 9/2*(-4 - (2 + -8)). Let p(n) = 12*n**2 + 42*n + 3. Let t(b) = g*u(b) + 2*p(b). Let t(j) = 0. What is j?
-1
Let w(o) = 5*o**2 - 4511*o + 2540240. Let k(c) = 4*c**2 - 4510*c + 2540246. Let m(p) = 6*k(p) - 4*w(p). Determine q so that m(q) = 0.
1127
Factor 351 + 255/7*r**2 - 1611/7*r + 3/7*r**3.
3*(r - 3)**2*(r + 91)/7
Suppose 60*l - 54*l - 4*q + 4 = 0, 0 = -2*l + 4*q - 12. Solve 0 - j**3 + 32/5*j + 78/5*j**l = 0.
-2/5, 0, 16
Let t = 1703 + -5104/3. Factor 0 - t*u - 5/6*u**4 + 5/6*u**2 + 5/3*u**3.
-5*u*(u - 2)*(u - 1)*(u + 1)/6
Suppose -207*p + 522 - 86 = -98*p. Find i such that 10*i - 1/2*i**p + 7/2*i**3 - 4 - 9*i**2 = 0.
1, 2
Let y(n) be the first derivative of -n**6/24 + 7*n**5/12 - 5*n**4/3 - 40*n**3/3 + 17*n**2 + 73. Let q(j) be the second derivative of y(j). Factor q(c).
-5*(c - 4)**2*(c + 1)
Factor 2736/5 + 88/5*j**2 - 948/5*j - 1/5*j**3.
-(j - 76)*(j - 6)**2/5
Suppose -2*d = -3*g + 2*d + 12, 0 = 2*g + 2*d - 22. Let b be 1 + ((-24)/6)/g. Let -b*h**5 - 1/2*h**3 + 0 + 0*h + 0*h**2 + h**4 = 0. Calculate h.
0, 1
Let s(t) = t**2 + 1. Let y(l) = -27*l**3 - 2*l**2 + 27*l - 4. Let b(n) = n**2 - 22*n + 117. Let g be b(10). Let k(x) = g*s(x) - y(x). Factor k(i).
(i - 1)*(i + 1)*(27*i - 1)
Let x be (12 - 12)*(-1)/(-11)*11. What is b in x + 0*b - 2/9*b**2 = 0?
0
Let v(x) = -5*x**4 + 697*x**3 + 2777*x**2 + 3469*x + 1386. Let y(m) = 3*m**4 - m. Let c(t) = 5*v(t) + 10*y(t). Factor c(p).
5*(p + 1)**2*(p + 2)*(p + 693)
Factor 133*d**2 + 110*d**2 - 182*d**4 - 1470 + 185*d**4 - 21*d - 51*d**3.
3*(d - 7)**2*(d - 5)*(d + 2)
Let v be 5/(18 + -3)*21. Suppose 0 = -v*m - 31 + 66. Solve -2*c**3 + 3 + c**3 + 2 - m*c**2 - 8 - 7*c = 0.
-3, -1
Let w(a) = 9*a**3 + 1445*a**2 + 521283*a - 522641. Let p(t) = -2*t**3 - 22. Let k(d) = 12*p(d) + 3*w(d). Factor k(o).
3*(o - 1)*(o + 723)**2
Factor -2*m**2 - 3672*m - 889284 - 583797 - 212367.
-2*(m + 918)**2
Let m = -399 - -434. Determine g, given that 306*g**3 + 5*g + 0*g - 276*g**3 + m*g**2 = 0.
-1, -1/6, 0
Let t = 116 + -20. Let l = 96 - t. Factor 4*p**2 + l - 8/3*p - 4/3*p**3.
-4*p*(p - 2)*(p - 1)/3
Let c(k) be the second derivative of -63*k**4/4 + 251*k**3/2 + 6*k**2 - 1560*k. Factor c(o).
-3*(o - 4)*(63*o + 1)
Let o(b) be the third derivative of 0 + 69*b**2 - 1/20*b**5 - 8*b**4 + 0*b - 512*b**3. Factor o(t).
-3*(t + 32)**2
Let g = -36721 + 330491/9. Factor 2/9*l + g*l**3 - 4/3 + 8/9*l**2.
2*(l - 1)*(l + 2)*(l + 3)/9
Let z(t) be the first derivative of -t**6/6 + 223*t**5/7 - 311*t**4/28 - 1115*t**3/21 + 159*t**2/7 + 5787. Let z(s) = 0. Calculate s.
-1, 0, 2/7, 1, 159
Suppose 0*q + 0 - 22/7*q**2 + 12/7*q**4 + 9/7*q**3 + 1/7*q**5 = 0. What is q?
-11, -2, 0, 1
Let q(h) be the third derivative of h**8/672 + h**7/60 + h**6/120 - h**5/3 + 966*h**2. Factor q(f).
f**2*(f - 2)*(f + 4)*(f + 5)/2
Suppose 2457*i = 968*i. Factor i + 2/11*f + 6/11*f**2 + 4/11*f**3.
2*f*(f + 1)*(2*f + 1)/11
Suppose -f + 2*n = 11, -5*f + 327 - 246 = 7*n. Factor -4/7*q + 0 + 8/7*q**2 + 0*q**3 + 4/7*q**f - 8/7*q**4.
4*q*(q - 1)**3*(q + 1)/7
Let z(x) = -x**3 - 35*x**2 + 73*x - 35. Let i be z(-37).