1, 0
Let z(u) be the second derivative of u**5/4 + 335*u**4/4 + 1490*u**3/3 + 990*u**2 + 7085*u. Factor z(g).
5*(g + 1)*(g + 2)*(g + 198)
Let r(a) be the first derivative of -2*a**5/35 - 3*a**4/14 + 4*a**3/3 + 48*a**2/7 + 64*a/7 - 1180. Solve r(l) = 0.
-4, -2, -1, 4
Let l(r) be the third derivative of -r**8/924 - 19*r**7/2310 - r**6/440 + 17*r**5/330 - r**4/33 - 1383*r**2. Find v such that l(v) = 0.
-4, -2, 0, 1/4, 1
Let n(w) be the second derivative of 5*w**4/12 + 20*w**3/3 + 3*w**2 + 10*w - 5. Let r(l) = l**2 - l + 3. Let u(s) = -n(s) + 2*r(s). Solve u(j) = 0 for j.
-14, 0
Let x(m) be the first derivative of -5*m**4/4 - 28*m**3/3 + 406*m**2 - 320*m + 960. Factor x(n).
-(n - 10)*(n + 16)*(5*n - 2)
Let u(j) be the first derivative of -j**6/1080 + j**4/72 + j**3/27 + 15*j**2 - 61. Let v(s) be the second derivative of u(s). Suppose v(t) = 0. Calculate t.
-1, 2
Let l = 165 + -163. Suppose 3*c - 5*a + 11 = -3, 3*c - a = 2. Solve 5*y + 7*y**2 + 3*y**2 + 5*y**l - 10 - 10*y**c = 0.
-2, 1
Let y(k) be the first derivative of -k**4/14 + k**3/14 + 3*k**2/14 + 157*k + 153. Let w(b) be the first derivative of y(b). Suppose w(v) = 0. Calculate v.
-1/2, 1
Suppose 0 = 5*b - 2*g - 17, -5*g + 4*g - 16 = -5*b. Factor -5*l**4 - 3*l**3 - 2*l**b - 83*l**2 + 5*l**5 + 88*l**2.
5*l**2*(l - 1)**2*(l + 1)
Let m(b) be the second derivative of b**7/21 + 12*b**6/5 + 207*b**5/5 + 270*b**4 + 675*b**3 + 2708*b. Factor m(a).
2*a*(a + 3)**2*(a + 15)**2
Let q = 103099/84 - 4909/4. Let j(v) be the third derivative of -43*v**2 - 8/21*v**3 - q*v**4 - 1/105*v**5 + 0 + 0*v. Factor j(o).
-4*(o + 1)*(o + 4)/7
Let u(n) be the second derivative of -2*n**7/35 - 49*n**6/50 + 216*n**5/25 + 803*n**4/20 + 283*n**3/5 + 144*n**2/5 - 2346*n. Suppose u(x) = 0. Calculate x.
-16, -1, -1/4, 6
Factor 218*f - 3784209*f**2 + 3784204*f**2 + 907*f.
-5*f*(f - 225)
Let o be (-29)/(-9) - (-21)/((-1512)/16). Factor 6*p - 52*p**2 - o*p**4 + 751*p**3 - 769*p**3 - 30*p + 16*p**2.
-3*p*(p + 2)**3
Let x(m) be the third derivative of 2*m**7/105 - 9*m**6/10 - 19*m**5/5 - 29*m**4/6 - 45*m**2 - 1. Determine j, given that x(j) = 0.
-1, 0, 29
Let k(t) be the first derivative of 0*t**2 - 1/33*t**3 + 0*t + 0*t**4 + 1/55*t**5 - 70. Solve k(u) = 0 for u.
-1, 0, 1
Suppose 13*z - z = 36. Suppose -a - 3*a = -8. Factor w**4 + 0*w**4 - 18*w + 2*w**3 - z*w**a + 10*w - 4.
(w - 2)*(w + 1)**2*(w + 2)
Let j be ((-1)/3)/(((48/(-40))/6)/3). Let m(i) be the third derivative of 1/15*i**j - 1/6*i**4 + 0*i**3 - 3*i**2 + 0*i + 0. Factor m(y).
4*y*(y - 1)
Let n be (-3)/((3/(-15))/(1/5)). Solve n*j**3 + 2*j**3 - 8*j + j**4 + 0*j**2 + 3*j**2 - j**2 = 0.
-4, -2, 0, 1
Factor -129*i**2 + 354*i**3 + 222*i + 915*i**2 + 65*i**4 - 56*i**4 - 3*i**2.
3*i*(i + 2)*(i + 37)*(3*i + 1)
Suppose -64*s**4 + 6*s**4 + 25*s**4 + 128 - 152*s**3 + 5*s**4 - 525*s + 516*s**2 + 61*s = 0. What is s?
-8, 4/7, 1
Let n be (2/(-24))/((-1289)/41248). Factor n - 2/9*h**2 - 2/9*h.
-2*(h - 3)*(h + 4)/9
Let b = -406 + 423. Suppose -5*t + b = -4*a - 11, -5*t - 4*a = -12. Find s, given that 0 + 4/9*s + 1/9*s**5 + 4/9*s**2 - 2/9*s**t - 1/3*s**3 = 0.
-1, 0, 2
Find p, given that 150*p + 22*p**3 - 231/2*p**2 - 38 + 3/2*p**4 = 0.
-19, 1/3, 2
Let n = -126 - -128. Factor 8 + 451*p**3 + 9*p**n - 4*p**4 - 455*p**3 + 20*p + 3*p**2.
-4*(p - 2)*(p + 1)**3
Let l = -43/84 + 81/140. Let j(a) be the third derivative of -l*a**5 + 0 - 2/3*a**3 + 1/3*a**4 + 0*a + 4*a**2. What is n in j(n) = 0?
1
Factor 24/5*t**3 + 48/5*t - 16/5 - 4/5*t**4 - 52/5*t**2.
-4*(t - 2)**2*(t - 1)**2/5
Let p(n) be the second derivative of -n**7/14 + 307*n**6/5 - 282747*n**5/20 - 397*n. Factor p(g).
-3*g**3*(g - 307)**2
Suppose -2*i = 3*k - 9, -k + 4 = -10*i + 11*i. Factor 766*j**2 - 21*j**i + 14*j + 3*j**4 + 15*j - 754*j**2 + 7*j.
3*j*(j - 6)*(j - 2)*(j + 1)
Let m(s) be the first derivative of s**7/5040 + s**6/720 - s**5/30 + 7*s**4/36 + s**3/3 - 17*s**2/2 - 44. Let b(l) be the third derivative of m(l). Factor b(r).
(r - 2)**2*(r + 7)/6
Suppose 1929 + 255 = 26*z. Suppose 273*u - 124*u + 3*u**3 - 113*u - z + 45*u**2 = 0. Calculate u.
-14, -2, 1
Let n(v) = v - 114 + 10*v + 3*v**2 + 96. Let a(z) = 6*z**2 + 24*z - 36. Let w(r) = 4*a(r) - 9*n(r). Factor w(i).
-3*(i - 2)*(i + 3)
Let p(g) be the second derivative of 0 - 2/15*g**6 - 2/21*g**7 + 0*g**2 + 0*g**3 + 0*g**4 + 2/5*g**5 - 54*g. Let p(b) = 0. What is b?
-2, 0, 1
Factor -7952*h + 17 - 988036*h**2 - 30 - 21 + 18.
-4*(497*h + 2)**2
Let w = 83 - 23. Suppose 4*s + 5 = -i, -2*i - 2*i + 3*s + 18 = 0. Suppose w*z**2 - z**3 + 15 + 5*z**4 - 15*z**i + 46*z**3 + 50*z = 0. What is z?
-3, -1
Let u be 7 - 2/(7 + 329/(-49)). Let o(d) be the first derivative of u*d - 8 - 1/2*d**4 + 0*d**3 + 1/2*d**2 + 0*d**5 + 1/6*d**6. Find f such that o(f) = 0.
-1, 0, 1
Let m = 400 + -391. Let p = 0 + 2. Solve 4*x**p + 6 - 4 - 9*x - 12 - m*x = 0.
-1/2, 5
Suppose -7 + 9 = a. Suppose n = -a*l - 0*l - 7, -4*l = 3*n + 13. Find m such that 5*m**3 - 2*m**2 - 4*m**3 + 0*m**2 - m**2 - n + 3*m = 0.
1
Suppose -5*s + 4*k - 5*k + 14 = 0, -2*k - 8 = -2*s. Let v = -2602 - -2604. Solve 1/4*n - 3/2 + n**v + 1/4*n**s = 0.
-3, -2, 1
Let y(s) = 5*s**3 - 37*s**2 + 9*s - 9. Let p(c) = 3*c - c - 14*c**2 + 0*c**3 + 5*c**2 + c**3 - 2. Let k(t) = -9*p(t) + 2*y(t). Suppose k(v) = 0. Calculate v.
-7, 0
Let q(s) = -52*s**2 - 1888*s + 467. Let d(p) = 28*p**2 + 943*p - 233. Let b(g) = 11*d(g) + 6*q(g). Factor b(x).
-(x + 239)*(4*x - 1)
Let c be 1*-5 - 47/(940/120). Let n be -10 - 6*22/c. Determine y so that 27/2*y - 5/2*y**n - 5 = 0.
2/5, 5
Let i(p) = 1195*p + 22708. Let v be i(-19). What is b in 1/2*b**v - 49/2 + 35/2*b + 13/2*b**2 = 0?
-7, 1
Let l(d) be the third derivative of -d**7/105 - 3*d**6/20 + d**5/3 - 2358*d**2. Factor l(a).
-2*a**2*(a - 1)*(a + 10)
Find u such that -1/5*u**3 + 1/5*u + 56/5 - 57/5*u**2 + 1/5*u**4 = 0.
-7, -1, 1, 8
Let x = -51318/5 + 10264. Let o = -479 + 2419/5. Let o*y + 32/5*y**2 + 0 - x*y**4 + 6/5*y**3 = 0. What is y?
-2, -1, 0, 6
Let r(l) = l**3 - 11*l**2 - 14*l + 25. Let i be r(12). Let g be i + (-21 - -13)*(-3)/8. Solve 4/7*a**3 + 2/7*a**2 - 2/7*a**g - 4/7*a + 0 = 0 for a.
-1, 0, 1, 2
Let o(d) be the second derivative of d**5/80 - 69*d**4/16 + 137*d**3/8 - 205*d**2/8 - 3841*d. Factor o(i).
(i - 205)*(i - 1)**2/4
Let l(c) = -18*c + 101. Let j be l(9). Let w(q) = q**2 + 53*q - 484. Let z be w(j). Factor 0*m + 2/7*m**2 - 3/7*m**3 + 1/7*m**z + 0.
m**2*(m - 2)*(m - 1)/7
Suppose 11*v - y = 12*v - 13, 0 = 6*y - 48. Let f(m) be the third derivative of 2*m**2 + 10/3*m**4 + 1/12*m**v + 0*m + 160/3*m**3 + 0. Factor f(k).
5*(k + 8)**2
Factor -16*b - 14872*b**3 - 6109*b**4 + 2328*b**4 - 3969*b**5 + 992*b**2 - 4682*b**4 - 7161*b**4.
-b*(b + 2)**2*(63*b - 2)**2
Let u be ((315/27)/7)/(175/42). Let s(f) be the first derivative of 1/4*f**4 + 10 - u*f**5 + 2/3*f**3 - 3/4*f**2 + 1/12*f**6 + 0*f. Factor s(m).
m*(m - 3)*(m - 1)**2*(m + 1)/2
Let d(o) be the first derivative of -37/3*o**3 + 3*o**2 + 79/8*o**4 + 49/24*o**6 + 0*o + 217/20*o**5 - 30. Solve d(z) = 0 for z.
-3, -2, 0, 2/7
Suppose 5*y - y + 14 = -d, -2*d + y + 8 = 0. Factor -1038*a + 5*a**d + 1018*a + 10 + 5.
5*(a - 3)*(a - 1)
Let h = 600 + -603. Let k(s) = 16*s**3 - 32*s**2 + 74*s - 68. Let o(v) = 5*v**3 - 11*v**2 + 25*v - 22. Let q(p) = h*k(p) + 10*o(p). Factor q(i).
2*(i - 4)*(i - 2)*(i - 1)
Suppose -5*q - 8*q = -442. Let k(w) = -23*w**2 - 72*w + 202. Let n(a) = 4*a**2 + 12*a - 34. Let o(f) = q*n(f) + 6*k(f). Determine x so that o(x) = 0.
-14, 2
Let z(l) be the second derivative of 26/3*l**3 + l**4 + 21 - 20*l**2 - 2/15*l**6 - l**5 - 2*l. What is f in z(f) = 0?
-5, -2, 1
Let y(c) = c**3 - 6*c**2 - 35*c + 16. Let a be y(10). Suppose 69*i**4 + 62*i**3 - i**2 - 36*i**5 + a*i**3 - 2*i**2 - 158*i**3 = 0. Calculate i.
-1/12, 0, 1
Factor -7272/5*t + 242/15*t**3 - 1984/15 - 19976/5*t**2.
2*(t - 248)*(11*t + 2)**2/15
Solve 63/4*q - 3/4*q**5 + 69/2 - 105/2*q**2 - 15*q**3 + 18*q**4 = 0 for q.
-1, 1, 2, 23
Let g(f) = 12*f**2 - 137*f + 838. Suppose t + 4 + 2 = 0. Let q(i) = -11*i**2 + 136*i - 839. Let x(h) = t*g(h) - 7*q(h). Determine n so that x(n) = 0.
13
Factor -88*p**5 + 13*p**4 - 30*p**5 + 119*p**5 + 20*p**2 + 32*p**3.
p**2*(p + 1)*(p + 2)*(p + 10)
Suppose 9 - 41 = -2*i + 4*x, 3*i - 2*x = 36. Suppose 3*q + 2*q = i. Factor -8*u**q - 3*u**4 - 72 + 76 + 7*u**4.
4*(