) = 0.
0, 2/5, 15
Factor 0 + 21/5*s**2 - 6*s**3 + 54/5*s + 3/5*s**4.
3*s*(s - 9)*(s - 2)*(s + 1)/5
Let s = -1914 + 3829/2. Solve 3/4 - 1/4*i**2 - s*i = 0 for i.
-3, 1
Let a(m) be the third derivative of m**8/5040 - m**6/180 + m**5/5 + 2*m**2. Let r(j) be the third derivative of a(j). Factor r(q).
4*(q - 1)*(q + 1)
Let l(p) = -7*p**5 - 7*p**4 - 3*p**3 + 9*p**2 + 2*p. Let z(v) = -30*v**5 - 27*v**4 - 12*v**3 + 36*v**2 + 6*v. Let q(c) = -9*l(c) + 2*z(c). Factor q(u).
3*u*(u - 1)*(u + 1)**2*(u + 2)
Let n = 21117/2 + -10558. Determine r, given that 0 + 3/2*r**2 + 1/2*r**4 - 3/2*r**3 - n*r = 0.
0, 1
Let c(i) be the third derivative of 0*i + 0 + 0*i**3 + 1/28*i**8 - 4/21*i**7 + 1/6*i**4 - 16*i**2 - 2/5*i**5 + 2/5*i**6. Find z, given that c(z) = 0.
0, 1/3, 1
Let o(x) be the third derivative of -4*x**6/15 + 31*x**5/30 - 7*x**4/6 - x**3/3 + 51*x**2. Suppose o(r) = 0. What is r?
-1/16, 1
Let q(j) be the second derivative of 1/12*j**4 + 0 + 3/2*j**2 - 43*j - 5/6*j**3 + 1/20*j**5. Factor q(z).
(z - 1)**2*(z + 3)
Let i be 4 - 7/(28/(-376)). Factor 420 + 22*z + 34*z - 428 - i*z**2.
-2*(7*z - 2)**2
Suppose 2456*d**2 + 2455*d**2 - 1936 - 176*d - 4915*d**2 = 0. What is d?
-22
What is z in -9*z - 28*z**2 + 24*z - 13*z + 15 - 7 = 0?
-1/2, 4/7
Let o = 186/55 + -35/11. Let x(q) be the first derivative of -q**2 - q + 0*q**3 - 2 + 1/2*q**4 + o*q**5. Factor x(b).
(b - 1)*(b + 1)**3
Let v be -2 + (-86)/(-110) + 184/(-115) + 3. Determine c, given that 6/11 - v*c**3 - 14/11*c + 10/11*c**2 = 0.
1, 3
Let s = 27 - 24. Suppose -s*o + 2*o**2 - o + 0*o + 2 = 0. Calculate o.
1
Let p(v) = -17*v**3 + 7*v**2 - 18*v - 5. Let m(y) = 36 - 4*y**3 - 38 - 6*y + 2*y**2 - 2*y**3. Let g(a) = 11*m(a) - 4*p(a). Factor g(c).
2*(c - 1)**3
Let i(t) be the second derivative of t**6/60 - t**5/5 - t**4/8 + 13*t**3/6 - 4*t**2 + 2*t + 17. Let i(k) = 0. Calculate k.
-2, 1, 8
Let f(c) = 3*c**2 - 6*c**2 + 2*c**2 + 12*c - 20. Let a be f(10). Factor 2/7*u + a + 2/7*u**2.
2*u*(u + 1)/7
Let r be (0 - 6/3)/(10/(-5)). Let h be r + ((-43)/(-12) - 6/(-8)). Find j such that 104/3*j**2 + 0 + h*j + 140/3*j**3 - 98/3*j**4 = 0.
-2/7, 0, 2
Let c(b) be the second derivative of 1/21*b**4 + 1/70*b**5 - 2/7*b**2 + 0 - 1/21*b**3 + 12*b. Factor c(f).
2*(f - 1)*(f + 1)*(f + 2)/7
Suppose -4*z + 4*k + 20 = 0, 5*k - 4 = -5*z + 21. Suppose -4/3*q**4 + 5/3*q**3 + 0 + 1/3*q**z + 0*q - 2/3*q**2 = 0. Calculate q.
0, 1, 2
Suppose -s - 2*b = 6, -4*b - b = -2*s + 6. Let d be s/24*216/(-24). Factor -3/4*p**4 + 3/4*p**2 - d*p + 3/4*p**3 + 0.
-3*p*(p - 1)**2*(p + 1)/4
Let w(i) = -i**2 - 5*i + 28. Let d be w(-9). Let k be -4 + 836/144 + 2/d. Solve 4/9 + k*h - 8/9*h**2 = 0.
-1/4, 2
Let b(s) be the second derivative of s**6/105 + s**5/14 - s**4/42 - 17*s**3/21 + 12*s**2/7 + 46*s. Factor b(j).
2*(j - 1)**2*(j + 3)*(j + 4)/7
Let s(r) be the second derivative of -r**7/126 - r**6/90 + r**5/5 - 16*r + 1. Determine n, given that s(n) = 0.
-4, 0, 3
Let j(g) be the second derivative of -g**6/120 + 7*g**5/20 - 83*g**4/24 - 35*g**3/2 - 225*g**2/8 - 325*g. Factor j(y).
-(y - 15)**2*(y + 1)**2/4
Let u(m) = 4*m**2 + 193*m - 194. Let n(o) = -4*o**2 - 192*o + 192. Let s(v) = -3*n(v) - 4*u(v). Factor s(z).
-4*(z - 1)*(z + 50)
Let a be (1 + 1)/(-2)*15/(-5). Suppose -8 = a*v - 17. Let 0 - 3*f**2 + 3/2*f**v + 3/2*f = 0. Calculate f.
0, 1
Suppose -12*j = -2*j - 20. Let 56 - 28 + 2*h - h**j - 29 = 0. Calculate h.
1
Determine l, given that 4*l**3 - l**3 - 2120*l**2 - l**3 + 2113*l**2 - l**3 + 12*l = 0.
0, 3, 4
Factor 4*z**2 - 19*z**3 - 6*z**3 + 5*z**2 + 24*z**3.
-z**2*(z - 9)
Let l(s) = -s**3 - 3*s**2 + 4*s + 12. Suppose 0 = 4*i + 2*q + 3*q + 32, 3*q + 12 = 0. Let h be l(i). Factor h - 4/5*n**2 + 2/5*n + 2/5*n**3.
2*n*(n - 1)**2/5
Let f(j) = -13*j**4 + 64*j**3 - 173*j**2 + 176*j - 66. Let u(y) = 2*y**4 + y**3 + 2*y**2 + 1. Let w(g) = -f(g) - 2*u(g). Factor w(i).
(i - 1)**2*(3*i - 8)**2
Let g(o) = -14*o**2 - 10*o + 4. Let n(z) = -4*z**2 - 3*z + 1. Let l(t) = 6*g(t) - 20*n(t). What is p in l(p) = 0?
-1, 1
Let -480*g**2 - 1800*g**3 - 12 + 974*g**5 + 12 - 3000*g**4 - 48*g - 2849*g**5 = 0. What is g?
-2/5, 0
Let z(v) be the second derivative of v**5/50 - 11*v**4/30 - 29*v**3/15 + 39*v**2/5 - 115*v - 1. Factor z(t).
2*(t - 13)*(t - 1)*(t + 3)/5
Solve 0*n + 9/4*n**3 + 1/2*n**2 + 0 = 0.
-2/9, 0
Suppose 4*q + 5*p = -186 - 1, -2*q - p = 101. Let j = q + 53. Factor j - 1/6*o**2 - 1/6*o.
-o*(o + 1)/6
Let h be ((-9)/4 + 2)/((-13)/52*8). Find p, given that 1/2 + h*p**3 - 3/8*p**2 + 0*p = 0.
-1, 2
Let f be (137/14 - 18/12) + -6. Factor 128/7*c - 36*c**2 - f.
-4*(7*c - 2)*(9*c - 2)/7
Let z be (16/6 - 2)*3. Let o(k) be the third derivative of 0 - 7*k**z + 1/30*k**4 + 0*k - 2/15*k**3 - 1/300*k**5. Factor o(m).
-(m - 2)**2/5
Let m(f) be the third derivative of f**9/90720 - f**7/7560 + f**5/30 - f**2. Let j(b) be the third derivative of m(b). Factor j(q).
2*q*(q - 1)*(q + 1)/3
Let q(s) = -234*s**3 + 246*s**2 + 451*s - 24. Let k(d) = -819*d**3 + 861*d**2 + 1578*d - 84. Let a(w) = -5*k(w) + 18*q(w). Find x, given that a(x) = 0.
-1, 2/39, 2
Let q(k) be the first derivative of -1/6*k**6 - 7/2*k**4 + 1 + 2*k - 9/2*k**2 + 6/5*k**5 + 16/3*k**3. Find x, given that q(x) = 0.
1, 2
Let r = 6 - -10. Find b such that 12 - r*b + 6*b**2 - 23 - 21 - 8*b**2 = 0.
-4
Let u be -6 - -3 - -13 - (3 - 1). Suppose 7*g - u = 3*g. Factor 6/5*f**3 - 2/5*f + 0 + 4/5*f**g.
2*f*(f + 1)*(3*f - 1)/5
Let g be (-2)/((-3)/(-1) + 20/(-4)). Let u be g*((-28)/(-4) - 3). Determine q so that 0*q**2 + 1/2*q**3 - 1/4 - 1/2*q + 1/4*q**u = 0.
-1, 1
Factor -296/7*s + 0 - 4/7*s**2.
-4*s*(s + 74)/7
Let g(z) be the second derivative of -z**5/65 + 17*z**4/78 - 19*z**3/39 - 14*z**2/13 - 394*z - 2. What is t in g(t) = 0?
-1/2, 2, 7
Let d = 50 + -47. Factor -10*v**2 + 5*v**4 + 45 - 22*v - 20*v**d + 54*v + 28*v.
5*(v - 3)**2*(v + 1)**2
Let z(g) = g**2 - 3*g + 1. Let s(r) = -12*r**2 - 288*r - 6092. Let v(t) = -s(t) - 8*z(t). Factor v(w).
4*(w + 39)**2
Suppose 2*c - 8 = 0, -4*g = 18*c - 19*c - 4. Solve -1/2*f**4 - 3*f**2 + g*f + 2*f**3 - 1/2 = 0.
1
Let w(y) be the first derivative of y**4/2 + 11*y**3/6 + 5*y**2/4 - y - 21. Factor w(i).
(i + 1)*(i + 2)*(4*i - 1)/2
Let -43 - 90*x - 21*x**2 + 13 + 13 + 17 + 3*x**3 = 0. What is x?
-3, 0, 10
Let m(c) be the third derivative of c**7/945 + c**6/90 + 4*c**5/135 - 9*c**2 - 18. Find a such that m(a) = 0.
-4, -2, 0
Let f = 391/14 - 61359/2198. Let s = 328/1099 - f. Factor 0*t + 0 + s*t**2 + 1/7*t**3 - 1/7*t**4.
-t**2*(t - 2)*(t + 1)/7
Let h = 11206 - 11203. Find t, given that 2/11*t - 2/11*t**2 + 0 - 2/11*t**h + 2/11*t**4 = 0.
-1, 0, 1
Find m, given that -3/5*m**2 + 0 - 12/5*m = 0.
-4, 0
Let z(w) be the second derivative of -w**6/165 - 2*w**5/55 + w**4/22 + 6*w**3/11 + 12*w + 10. Factor z(h).
-2*h*(h - 2)*(h + 3)**2/11
Let w = 24 + -21. Let 6*i**3 - 12*i**3 - 6*i**2 + 6 - 4*i + 10*i**w = 0. What is i?
-1, 1, 3/2
Factor -30*r**4 + 58*r**3 + 366*r - 26*r**2 + 368*r - 736*r.
-2*r*(r - 1)**2*(15*r + 1)
Factor 10*r - 38*r + r**2 - r**5 - 5*r**4 + 20*r + 16*r + 4 - 7*r**3.
-(r - 1)*(r + 1)**2*(r + 2)**2
Let h be 143/130*((-138)/(-33) - 4). Determine y, given that 2/5 + 3/5*y + h*y**2 = 0.
-2, -1
Let w be 1/(-2 + 1 - 0/(-2)). Let j be -1*((-1)/(-3))/w. Solve j*v**5 - 1/3*v**2 + 0 - v**4 + 0*v + v**3 = 0.
0, 1
Let n = -26 - -30. Let g = -20 - -36. Solve 20*y**2 + 5*y**n - g - 2*y**5 - 8*y - 3*y**4 - 6*y**4 + 10*y**3 = 0 for y.
-2, -1, 1, 2
Let g(t) = t**3 + 42*t**2 - 143*t. Let x(a) = -6*a**3 - 210*a**2 + 714*a. Let l(o) = -21*g(o) - 4*x(o). Factor l(n).
3*n*(n - 7)**2
Let t(z) = 15*z**5 + 9*z**3 + 6*z + 6. Let f(v) = 44*v**5 + 2*v**4 + 26*v**3 + 17*v + 17. Let w(d) = -6*f(d) + 17*t(d). Suppose w(x) = 0. What is x?
-1, -1/3, 0
Let v(q) be the second derivative of 1/70*q**5 + 3*q + 1/6*q**4 - 16/7*q**2 + 8/21*q**3 + 0. Factor v(p).
2*(p - 1)*(p + 4)**2/7
Let n(d) = -d**3 - d**2 - d. Let r(v) = 4*v**3 + 3*v**2 + 21*v - 17. Let m(w) = 3*n(w) + r(w). Let i be m(1). Suppose -2/7*q**i + 0 + 2/7*q = 0. What is q?
0, 1
Let c = 551/2236 + 2/559. Let f(r) be the first derivative of 1/12*r**3 + 0*r + c*r**2 - 1/16*r**4 - 2. Factor f(q).
-q*(q - 2)*(q + 1)/4
Let u(s) be the first derivative of -5*s**7/42 + 7*s**6/6 - 11*s**5/4 - 15*s**4/4 - 9*s**2/2 - 2*s + 11. Let k(c) be the second derivative of u(c). Factor k