termine b so that p(b) = 0.
-2, 0
Suppose -13/4*q + 11/4*q**2 + 1 - 1/2*q**3 = 0. Calculate q.
1/2, 1, 4
Let i(n) be the third derivative of -n**7/4620 + n**6/660 + n**5/660 - n**4/44 - 19*n**3/6 + 12*n**2. Let t(z) be the first derivative of i(z). Factor t(k).
-2*(k - 3)*(k - 1)*(k + 1)/11
Find c such that 27/8*c + 3/4 + 3/2*c**2 = 0.
-2, -1/4
Let 9*n - 3/2*n**4 + 0*n**3 + 0 + 21/2*n**2 = 0. What is n?
-2, -1, 0, 3
Let c(h) = -39*h**2 + 723*h - 33129. Let s(z) = 62*z**2 - 1084*z + 49694. Let l(v) = 8*c(v) + 5*s(v). Let l(x) = 0. Calculate x.
91
Let u(c) = c**3 + c**2 - c - 1. Let k(d) = d**2 - 6*d + 5. Let m(z) = -k(z) - u(z). Factor m(l).
-(l - 1)**2*(l + 4)
Let s(y) be the second derivative of y**5/170 - 13*y**4/102 + 22*y**3/51 - 389*y. What is m in s(m) = 0?
0, 2, 11
Let a be 4/(-7) + (-748)/(-231). Let s be (-28)/(-126)*(0 + (-6)/(-2)). Let -s*v**2 - 8/3*v + 2/3*v**3 + a = 0. Calculate v.
-2, 1, 2
Let b(g) = 5*g**3 - 8*g**2 - 7*g + 7. Let l(i) = 2*i**3 - 4*i**2 - 3*i + 3. Let v = 29 + -22. Let f(k) = v*l(k) - 3*b(k). Factor f(s).
-s**2*(s + 4)
Let c(f) be the second derivative of -1/45*f**6 + 10*f + 1/15*f**5 + 1/3*f**2 - 2/9*f**3 + 0*f**4 + 0. Find a, given that c(a) = 0.
-1, 1
Let x = 2 - 0. Suppose x = -4*p + 5*p. Let m**2 - 22 + 26 + 3*m**p + 8*m = 0. Calculate m.
-1
Let y be (-15 + 16)/((-10)/(-8) + -1). Let u(d) be the third derivative of 0*d + 0*d**3 + 1/42*d**y + 1/210*d**5 + 0 - 5*d**2. Find c such that u(c) = 0.
-2, 0
Let v(m) = 2*m**2 + 4*m - 9. Let x(y) = 3*y**2 + 3*y - 8. Let o(j) = -4*v(j) + 3*x(j). Let u be o(5). Factor 6/5*c - 2/5*c**u + 0.
-2*c*(c - 3)/5
Let q(j) be the second derivative of -j**6/120 - 13*j**5/80 + 7*j**4/24 + 65*j. Solve q(i) = 0.
-14, 0, 1
Suppose -c + 0 + 82 = 4*u, -3*u + 87 = c. Let b = c - 506/5. Let 0 - b*j - 2/5*j**2 = 0. What is j?
-2, 0
Let t(d) be the third derivative of -d**6/20 + 53*d**5/20 - 19*d**4/2 + 25*d**3/2 + 11*d**2 + 3*d. Solve t(i) = 0 for i.
1/2, 1, 25
Let c(a) be the second derivative of -3*a**5/20 + 7*a**4/4 + a**3/2 - 21*a**2/2 + 18*a. Let c(p) = 0. What is p?
-1, 1, 7
Let r = -1003/1260 + 29/36. Let x(p) be the third derivative of 0*p**4 - 1/490*p**7 - r*p**6 + 0*p + 1/42*p**3 - 1/70*p**5 - 7*p**2 + 0. Factor x(y).
-(y + 1)**3*(3*y - 1)/7
Determine j, given that 0*j**4 - 6/7*j**3 + 2/7*j**5 + 0 + 0*j - 4/7*j**2 = 0.
-1, 0, 2
Suppose 11*l - 49*l + 76 = 0. What is x in -4/7*x**4 - 4/7*x**3 + 2/7*x - 4/7 + 8/7*x**l + 2/7*x**5 = 0?
-1, 1, 2
Let a(g) be the first derivative of g**5/15 - 5*g**4/9 + 14*g**3/9 - 2*g**2 - 42*g - 24. Let t(n) be the first derivative of a(n). Suppose t(k) = 0. What is k?
1, 3
Find l, given that -6420*l**5 - 4*l**2 + 0*l**2 - 4*l**3 + 6424*l**5 + 4*l**4 = 0.
-1, 0, 1
Let o(v) = -7*v**4 - 8*v**3 - 45*v**2 - 46*v - 14. Let l(c) = -20*c**4 - 25*c**3 - 135*c**2 - 139*c - 43. Let r(j) = 6*l(j) - 17*o(j). Factor r(n).
-(n + 1)**2*(n + 2)*(n + 10)
Let o(f) be the third derivative of f**7/70 + f**6/40 - 3*f**5/20 - 5*f**4/8 - f**3 + 126*f**2. Find w, given that o(w) = 0.
-1, 2
Let b(f) = -28*f**2 - 11*f - 1. Let m(t) = 203 + 3*t + 3*t**2 - 203 + 4*t**2. Let o(p) = 2*b(p) + 9*m(p). Determine h, given that o(h) = 0.
-1, 2/7
Let m(g) be the first derivative of 3*g**5/20 - 15*g**4/8 + 5*g**3/4 + 15*g**2 - 27*g - 760. Determine p, given that m(p) = 0.
-2, 1, 2, 9
Factor m**3 + 3240 + 4*m**3 + 33274*m**2 + 1260*m - 33444*m**2.
5*(m - 18)**2*(m + 2)
Let b(t) be the first derivative of 1/6*t**2 - 11 + 1/9*t**3 + 0*t. Factor b(k).
k*(k + 1)/3
Let v(c) be the first derivative of -3*c**4/4 + 3*c**3 - 3*c**2 + 268. Factor v(j).
-3*j*(j - 2)*(j - 1)
Suppose -14*v + 242 = -12*v. Let n = v + -725/6. Factor -1/6*o - n - 1/6*o**4 + 1/3*o**3 - 1/6*o**5 + 1/3*o**2.
-(o - 1)**2*(o + 1)**3/6
Let h(o) = 3*o**4 + 15*o**3 + 47*o**2 + 46*o + 21. Let f(b) = 4*b**4 + 16*b**3 + 48*b**2 + 46*b + 22. Let z(d) = 5*f(d) - 6*h(d). Factor z(s).
2*(s - 8)*(s + 1)**3
Find p, given that 17/5*p**3 - 6*p**2 - 8/5 - 68/5*p + 8/5*p**4 = 0.
-2, -1/8, 2
Let y = -12 + 16. Find m, given that y*m**2 - 7*m + 13*m**3 + m - 9*m**3 - 2*m**3 = 0.
-3, 0, 1
Let z(k) be the second derivative of 5*k**4/48 - 35*k**3/24 + 15*k**2/4 - 34*k + 1. Let z(x) = 0. Calculate x.
1, 6
Let v(x) be the first derivative of -3*x**5/5 + 15*x**4/4 + 7*x**3 - 15*x**2/2 - 18*x + 128. Factor v(f).
-3*(f - 6)*(f - 1)*(f + 1)**2
Let u be 5*(-7)/(-420)*14*3/14. What is o in -2*o + 1/4*o**3 - 3 + u*o**2 = 0?
-2, 3
Let c(v) be the second derivative of -155*v**4/12 + 485*v**3/6 + 595*v**2/2 - 43*v. Let p(g) = 7*g**2 - 22*g - 27. Let m(s) = 2*c(s) + 45*p(s). Factor m(d).
5*(d - 5)*(d + 1)
Let r(o) be the first derivative of -o**6/3 + 106*o**5/35 - 71*o**4/7 + 356*o**3/21 - 107*o**2/7 + 50*o/7 - 88. Factor r(b).
-2*(b - 1)**4*(7*b - 25)/7
Suppose 0 = -10*y - 7*y + 85. Suppose 2*p + 4 = -4*w - p, -3*p = -y*w + 22. Factor 0*z + 8/7*z**3 - 4/7*z**4 + 0 + 12/7*z**w.
-4*z**2*(z - 3)*(z + 1)/7
Let v(f) be the first derivative of f**5/20 - 5*f**4/16 + 5*f**3/12 + 5*f**2/8 - 3*f/2 - 79. Suppose v(z) = 0. What is z?
-1, 1, 2, 3
Let x be (-4)/48*(-12)/120. Let v(z) be the third derivative of 0*z**3 + 0 + 4*z**2 - 1/30*z**5 + 0*z**4 - x*z**6 + 0*z. Factor v(n).
-n**2*(n + 2)
Let 1/8 - 11*o + 242*o**2 = 0. Calculate o.
1/44
Let s(h) be the first derivative of 0*h - 1/1080*h**6 + 0*h**2 - 1/36*h**4 + 1/120*h**5 + 5 + 1/3*h**3. Let m(g) be the third derivative of s(g). Factor m(c).
-(c - 2)*(c - 1)/3
Let x(l) be the second derivative of 1/18*l**3 + 0*l**4 + 0 - 29*l - 1/360*l**6 + 0*l**2 - 1/80*l**5. Solve x(j) = 0.
-2, 0, 1
Let y(p) = p**4 - p**2. Let a = -66 - -68. Let w(q) = 20*q**5 - 2*q**4 - 62*q**3 + 48*q**2 - 4. Let b(f) = a*w(f) - 2*y(f). Suppose b(d) = 0. What is d?
-2, -1/4, 2/5, 1
Suppose -5*p = -2*p - 348. Suppose 30*g**5 - 50*g**3 - p + 45*g**4 - 50*g**2 + 5*g + 15*g**5 + 121 = 0. Calculate g.
-1, -1/3, 1/3, 1
Let t(g) be the third derivative of g**8/8960 - g**7/840 + g**6/192 - g**5/80 + g**4/24 + 13*g**2. Let m(a) be the second derivative of t(a). Factor m(r).
3*(r - 2)*(r - 1)**2/4
Find x such that -26*x**3 + 28*x + 20*x**4 - 4*x**5 - 12 - 8*x**3 - 8*x**2 + 10*x**3 = 0.
-1, 1, 3
Let g(v) be the first derivative of 5*v**3/3 - 35*v**2 + 245*v + 78. Find t such that g(t) = 0.
7
Let f(y) be the second derivative of y**6/15 - y**5/5 - 2*y**4/3 + 2*y**3/3 + 3*y**2 - 508*y. Factor f(s).
2*(s - 3)*(s - 1)*(s + 1)**2
Let r(d) be the first derivative of d**7/42 + d**6/12 - d**5/4 - 5*d**4/3 - 10*d**3/3 + 2*d**2 - 29. Let u(t) be the second derivative of r(t). Factor u(m).
5*(m - 2)*(m + 1)**2*(m + 2)
Let j = -28/65 + 6101/130. Let s = j + -639/14. Factor -s*y**2 - 2/7*y - 2/7*y**4 - 6/7*y**3 + 0.
-2*y*(y + 1)**3/7
Let p = 1352 - 6756/5. Let -4/5*d**4 + p*d**5 - 4/5 - 8/5*d**3 + 4/5*d + 8/5*d**2 = 0. Calculate d.
-1, 1
Let a = 52005/211048 + -1/27528. Let s = a + 2/23. Factor 1/3*p**2 + 0 + 0*p**3 + 0*p - s*p**4.
-p**2*(p - 1)*(p + 1)/3
Let h = -183 - -186. Let b(n) be the second derivative of -1/42*n**7 + 0*n**2 + 0*n**5 + 1/6*n**h + 0 - 1/15*n**6 + 4*n + 1/6*n**4. Factor b(p).
-p*(p - 1)*(p + 1)**3
Let s(d) be the first derivative of -d**5/10 + 7*d**3/6 - 3*d**2/2 - 15. Factor s(n).
-n*(n - 2)*(n - 1)*(n + 3)/2
Let k = 6 - 21/4. Let b(h) be the first derivative of -15/2*h**2 + k*h**4 - 6*h + 3/5*h**5 + 4 - 3*h**3. Solve b(n) = 0 for n.
-1, 2
Let o = 428 + -423. Let z(n) be the third derivative of 0 + 0*n**3 - 1/35*n**o - 1/210*n**6 + 3*n**2 + 0*n - 1/21*n**4. Factor z(i).
-4*i*(i + 1)*(i + 2)/7
Let d(k) be the second derivative of 7/48*k**4 + 0*k**2 + 0 - 1/12*k**3 + 11/80*k**5 - 7/120*k**6 + 33*k - 3/56*k**7. Suppose d(m) = 0. Calculate m.
-1, 0, 2/9, 1
Let a be 10/45 - (-32)/18. Suppose i + 4*y + 16 = 3*i, 4*i - 23 = 5*y. Solve 3 + a - 7 - j**i + 3*j = 0.
1, 2
Let g(d) = 2*d - 3*d - d - 4 - 1. Let i be g(-4). Suppose 7*f - f + 4 - 7 - i*f**2 = 0. Calculate f.
1
Suppose 5*u = -13 - 17. Let x(v) = v**3 - v. Let a(b) = -3*b**3 - 3*b**2. Let y(t) = u*x(t) - 3*a(t). Let y(c) = 0. Calculate c.
-2, -1, 0
Suppose -698 = -23*s - 215. Let x be 7/(s/(-2)) - 64/(-42). Let 4*n**4 + 34/7*n**3 - 16/7 - 40/7*n + x*n**5 - 12/7*n**2 = 0. What is n?
-2, -1, -2/3, 1
Suppose 2*z - 6 = -0*z. Let m(o) = -2*o + 8. Let s be m(7). Let y(t) = t**2. Let d(i) = i**2. Let r(p