e of 7*b**6/120 - 127*b**5/30 + 3*b**4 - 90*b**2 - 2. Factor c(l).
l*(l - 36)*(7*l - 2)
Let i be (-39)/(-13) - (40 - 39). Solve -7 - 1/7*d**i + 2*d = 0.
7
Let f(l) be the first derivative of 3*l**2 - 2/5*l**5 - 22 + 10/3*l**3 - 8*l - 3/2*l**4. Factor f(y).
-2*(y - 1)**2*(y + 1)*(y + 4)
Factor 7474*l - 3630*l - 3277*l - 3*l**2.
-3*l*(l - 189)
Let n = 4/6135 - -565226/18405. Let z = 158/5 - n. Factor 8/9*q**2 - 4/3*q**3 + 0 - 2/9*q + z*q**4 - 2/9*q**5.
-2*q*(q - 1)**4/9
Find y such that -21/2*y + 0 + 1/6*y**3 + 1/3*y**2 = 0.
-9, 0, 7
Let x = 813 - -465. Let k = 1280 - x. Factor 3/2*d**3 + 19/3*d**k + 4/3 + 22/3*d.
(d + 2)**2*(9*d + 2)/6
Let g = 2312 + -1674. Let d be (-6)/33 + 2987/g. Suppose -3/2*l**3 + 3/2*l + 9/2*l**2 - d = 0. Calculate l.
-1, 1, 3
Let d be (-42 - -42)/(4 - 3 - -3). Let a(b) be the second derivative of 1/18*b**4 + d - 2*b + 0*b**3 + 1/15*b**5 + 1/45*b**6 + 0*b**2. Factor a(t).
2*t**2*(t + 1)**2/3
Let q be 10 - (3 + (0 - 0)). Let p = 77 - 75. Factor p*g**4 + 7*g**2 + 2*g**5 - q*g**3 - 9*g**2 + 5*g**3.
2*g**2*(g - 1)*(g + 1)**2
Let h be (-1044)/(-585) - 20*(-13)/(-650). Factor 2/13*g**2 - h*g - 20/13.
2*(g - 10)*(g + 1)/13
Let u = -3/361 - -1104/2527. Let g(a) = -a**3 - 4*a**2 + 3*a - 7. Let m be g(-5). Factor 1/7*o**2 + u*o**m - 2/7*o + 0.
o*(o + 1)*(3*o - 2)/7
Suppose 0 = -23*s - 11*s + 87*s. Let f(i) be the first derivative of s*i + 0*i**3 - 5/36*i**6 + 0*i**2 + 0*i**4 - 3 - 1/2*i**5. What is t in f(t) = 0?
-3, 0
Suppose 3*z - 9 = -3*s, 13*z - 34 = 10*z + 2*s. What is m in -4*m**5 - 6*m**2 - 11*m + 7*m**2 + 16*m**3 - 9*m**2 - 10*m + z*m**4 + 9*m = 0?
-1, 0, 1, 3
Let k(y) be the first derivative of -4*y**2 - 59 - 4/3*y**3 - 4*y. Factor k(z).
-4*(z + 1)**2
Let l(y) = 8*y**2 + 2*y + 2. Let s(w) = 53*w**2 + 13*w + 13. Let h(a) = 13*l(a) - 2*s(a). Factor h(p).
-2*p**2
Let a(x) be the first derivative of x**6/6 + x**5/2 - 5*x**4/4 + 107*x - 176. Let g(w) be the first derivative of a(w). Solve g(u) = 0.
-3, 0, 1
Let q(c) be the third derivative of 5*c**8/336 + c**7/14 - c**5/3 + 63*c**2. Factor q(m).
5*m**2*(m - 1)*(m + 2)**2
Let h(b) = -5*b**2 + 505*b - 955. Let a(k) = 2*k**2 - 254*k + 479. Let f(z) = -5*a(z) - 3*h(z). Solve f(l) = 0 for l.
2, 47
Let p be -5 - -1 - 0/(8/4). Let m(z) = -2*z**3 + z**2 + 3*z + 3. Let w be m(p). Factor 35*g**4 + 10 - 11*g**3 - 8*g**3 + w*g**2 - 96*g**3 + 0 - 65*g.
5*(g - 1)**3*(7*g - 2)
Determine l, given that 0 + 109*l**3 + 329/3*l + 219*l**2 - 1/3*l**4 = 0.
-1, 0, 329
Let w(c) be the third derivative of -101*c**2 + 1/12*c**4 + 0*c**3 + 0*c + 1/240*c**5 + 0. Factor w(t).
t*(t + 8)/4
Let c = 2976301/300 - 9921. Let m(x) be the third derivative of 4/15*x**3 - c*x**6 + 0*x + 6*x**2 - 1/150*x**5 + 1/15*x**4 + 0. What is l in m(l) = 0?
-2, -1, 2
Let j(r) = 3*r**4 + 48*r**3 - 66*r**2 - 60*r + 61. Let k(i) = -9*i**4 - 138*i**3 + 198*i**2 + 180*i - 182. Let y(n) = 7*j(n) + 2*k(n). Factor y(p).
3*(p - 1)**2*(p + 1)*(p + 21)
Let f be 4/38 + (1263359/1463931 - (-12)/(-14)). Solve f*w**2 - 2 + 17/9*w = 0 for w.
-18, 1
Let t = 57 - 41. Let a(u) be the first derivative of t + 4*u - 4/3*u**3 - 3*u**2. Determine d, given that a(d) = 0.
-2, 1/2
Let x(o) = 11*o**2 + 259*o - 262. Let m(z) = -85*z**2 - 1810*z + 1835. Let y(i) = 2*m(i) + 15*x(i). Factor y(q).
-5*(q - 52)*(q - 1)
Solve -h**4 + 0 + 0*h**2 + 1/8*h**5 + 3/2*h**3 + 0*h = 0.
0, 2, 6
Let t = -2 - -12. Let k be -8 + (-588)/(-54) - (-4)/36. Factor -2*i**4 + 9*i**k - 22 + 7*i**3 + t - 20 - 48*i**2 + 64*i.
-2*(i - 2)**4
Let c(d) be the second derivative of 5*d + 5/12*d**4 + 5/24*d**6 - 7/12*d**5 + 0*d**3 + 0 + 11/2*d**2. Let h(j) be the first derivative of c(j). Factor h(q).
5*q*(q - 1)*(5*q - 2)
Let u(n) be the second derivative of -1/50*n**5 + 17*n - 148877/5*n**2 + 3 - 2809/5*n**3 - 53/10*n**4. Suppose u(i) = 0. What is i?
-53
Let g(u) = -u**2 + 2*u + 9. Let p(k) = 50*k**3 - 64*k**2 - 456*k - 354. Let y(z) = -2*g(z) - p(z). Factor y(d).
-2*(d - 4)*(d + 1)*(25*d + 42)
Factor -86*f - 117*f - 37*f - 8 + 71 + 33*f**2.
3*(f - 7)*(11*f - 3)
Let g be ((-35)/10 + 5)*6. Let b be (-17 + g)*(2 + 5/(-2)). Let -3*c**4 - b*c**3 + 2*c - 11*c**3 + 12 - 9*c**2 + 13*c = 0. Calculate c.
-4, -1, 1
Let d = 76 - 71. Suppose -7 = -d*v + 3. Solve -6*a - a**v + 10*a**2 - 4 + 3*a**2 - 2*a**2 = 0.
-2/5, 1
Let r(s) be the second derivative of -s**6/30 - s**5/2 + 17*s**4/4 - 34*s**3/3 + 14*s**2 - 2139*s. Factor r(x).
-(x - 2)*(x - 1)**2*(x + 14)
Let -511*f**2 - 527*f**2 - 600*f**2 + 4*f**3 - 596*f**2 + 404496*f - 310*f**2 = 0. What is f?
0, 318
Suppose -161*l = -159*l - 5*g + 14, 0 = -2*l - 3*g + 18. Let -1/2*y**2 + 0 - 2*y**l + 1/2*y**4 + 2*y = 0. What is y?
-1, 0, 1, 4
Suppose 0 = 420*u - 893 - 945 + 578. Suppose 1/7*s**u - 1/7*s**2 + 4/7 - 4/7*s = 0. Calculate s.
-2, 1, 2
Let x(d) = -d**3 - 8*d**2 + 20*d + 2. Let q be x(-10). Suppose k - 14 = -2*f, 3*k + q*f = f + 47. Let -k - 3*g**2 - 18 + 46 - 9*g = 0. What is g?
-4, 1
Let j(b) = b**2 - 14*b - 307. Let f be j(-12). Let x(a) be the first derivative of 8/3*a**3 + 0*a**2 + 0*a - a**4 - 19 - 4/5*a**f. Factor x(w).
-4*w**2*(w - 1)*(w + 2)
Let v(s) be the first derivative of -4*s**3/15 + 356*s**2/5 + 716*s/5 - 605. Factor v(i).
-4*(i - 179)*(i + 1)/5
Suppose 45*s + 6 = 48*s. Factor -38*x + 2*x**3 + 56*x - 19*x**s + 7*x**2.
2*x*(x - 3)**2
Let y(h) be the first derivative of -4*h**4 - 28*h**3/3 - 4*h**2 + 4*h + 8384. What is j in y(j) = 0?
-1, 1/4
Suppose -4 = 5*q - 3*q, -16 = -4*r + 2*q. Suppose z = -0*z + 1, -r*z = -5*s + 97. Factor 3*u**3 + s*u + 9*u**3 + 4 + 0*u**3 + 28*u**2.
4*(u + 1)**2*(3*u + 1)
Suppose -5*i - 4*p + 45 + 35 = 0, -i + 2*p + 2 = 0. Let n be 13/(26/i) - 2. Factor 8*b**3 + 8*b - 16*b - 4 + 2*b**4 + 2*b**n.
4*(b - 1)*(b + 1)**3
Let b(p) be the first derivative of -15*p**2 + 52/15*p**3 + 36/5*p - 6 - 88/25*p**5 + 7/15*p**6 + 34/5*p**4. Find x such that b(x) = 0.
-1, 2/7, 1, 3
Suppose 307*b - 8722 = 300*b. Factor 1240 - 2486 + b - 4*w**2 + 20*w**4 - 12*w**5 - 4*w**3.
-4*w**2*(w - 1)**2*(3*w + 1)
Suppose 940 + 320 = -10*c. Let n be 168/c + 10/6. Let 0*v + 0 - v**2 - n*v**3 = 0. What is v?
-3, 0
Let v(q) = -q**3 - 2*q**2 - 1. Let z be (-2)/(-1 + -1) - -1. Let j(p) = p**4 - 7*p**3 + 33*p**2 - 39*p + 20. Let i(k) = z*v(k) + j(k). Factor i(u).
(u - 3)**2*(u - 2)*(u - 1)
Let p be (171/18 + -5)*8/6. Suppose -9*m**4 + 3*m**3 + 65*m**2 + p + 54*m**2 - 27*m - 92*m**2 = 0. Calculate m.
-2, 1/3, 1
Let o = -1193920/19 - -63327. Let r = o + -489. Factor 2/19*x**3 + 0*x**2 + 0 - r*x.
2*x*(x - 1)*(x + 1)/19
Let z(p) be the second derivative of p**4/24 + 17*p**3/6 - 387*p**2/4 - 1628*p + 2. Determine v, given that z(v) = 0.
-43, 9
Solve -91/5 - 6/5*k + 1/5*k**2 = 0.
-7, 13
Let d be -13*(9/36)/((-1261)/2328). Factor -1/2*q**3 + d + 7/2*q**2 - 8*q.
-(q - 3)*(q - 2)**2/2
Let 3/7*d**5 + 0 - 384/7*d**3 + 0*d + 87/7*d**4 + 396/7*d**2 = 0. Calculate d.
-33, 0, 2
Suppose f + 2*w = -f, 5*f + 4*w - 2 = 0. Factor 3*j**2 - 5*j**f - 2*j - j**2 + j**4.
j*(j - 2)*(j + 1)**2
Let o(t) = 80822*t**3 + 240802*t**2 - 4812*t + 22. Let p(d) = -10*d**3 - 2*d**2 - 2*d + 1. Let l(r) = o(r) + 2*p(r). Find n, given that l(n) = 0.
-3, 2/201
Suppose 423*h = 407*h + 80. Suppose 1 = o - x, -o + 12 - 5 = h*x. Determine g, given that -24/7*g**o - 4/7*g**3 + 16/7*g + 0 + 6/7*g**4 = 0.
-2, 0, 2/3, 2
Let p(n) be the second derivative of -3/4*n**4 + 0 + 159*n - 2*n**3 + 7/20*n**5 + 2*n**2. What is f in p(f) = 0?
-1, 2/7, 2
Let y(h) = 20*h - 17. Let o = 322 - 321. Let r be y(o). Find k, given that 14/17*k**2 + 4/17 - 4/17*k**r - 14/17*k = 0.
1/2, 1, 2
Let o(s) = -s**3 + 18*s**2 + 42*s + 8. Let d be o(-2). Let p(l) be the first derivative of -35*l**2 + 26/3*l**3 - 26 - 98*l - 1/2*l**d. Factor p(w).
-2*(w - 7)**2*(w + 1)
Suppose 3*p - 25135 = -3*l - 3745, 5*l = -3*p + 21396. Determine q so that 15*q - 19*q**2 - 7125*q**3 + 5*q**2 + 9*q + p*q**3 = 0.
0, 3, 4
Let b(d) be the first derivative of d**3/3 - 21*d**2/2 - 22*d - 35. Let p be b(22). Let -1/5*i**2 + 1/5*i**3 + p*i + 0 = 0. What is i?
0, 1
Let s be ((-2)/(-16) - (-1750)/(-560))*(-4)/9. Let q(x) be the first derivative of -s*x**3 - 16*x + 23 + 8*x**2. Let q(o) = 0. What is o?
2
Let r be (-1)/(-3)*1*(48 + -6). Factor 16*j**2 + r*j**3 - 45*j**3 + 13*j**3 + 20*j**3 + 24*j.
2*j*(j + 2)*(j + 6)
Let m(f) be the third derivative of