lve -f - 43/2*f**4 + 10*f**5 + j + 1/2*f**2 + 12*f**3 = 0.
-1/4, 0, 2/5, 1
Let k be 9/(-36)*-2 - (-74)/(-4). Let s be k/21*(-3)/6*1. Let -s - 3/7*j**2 + 6/7*j = 0. What is j?
1
Let g(z) be the first derivative of -z**3/7 + 207*z**2/7 - 14283*z/7 - 295. Factor g(c).
-3*(c - 69)**2/7
Let z(l) = 6*l**2 - 8*l + 4. Let q(m) = 1 - 5*m**2 + 7*m + 0 + 0 - 4. Let v(u) = -4*q(u) - 3*z(u). Determine k so that v(k) = 0.
0, 2
Let f(v) be the second derivative of -1/10*v**4 - 1/225*v**6 + 0*v**2 + 0 + 1/25*v**5 + 0*v**3 - 18*v. Let f(c) = 0. What is c?
0, 3
Let v(k) be the first derivative of -k**6/21 + 12*k**5/35 - 2*k**4/7 - 4*k**3/7 + 5*k**2/7 + 143. Solve v(i) = 0.
-1, 0, 1, 5
Suppose -k + 5*h + 72 = 0, 0 = -2*h - 2*h + 20. Let l = k - 95. Let -2/3*m**3 + 2/3*m**5 - 4/3*m**4 + 0*m + 0 + 4/3*m**l = 0. Calculate m.
-1, 0, 1, 2
Let m = 35 + -33. Factor -1 + m*l**3 + 1 - 207*l + 205*l.
2*l*(l - 1)*(l + 1)
Let f(y) = 9*y**3 + 73*y - 65. Let o be (-2)/((-2)/6*-1). Let x(a) = -a**3 - 9*a + 8. Let z(h) = o*f(h) - 51*x(h). Factor z(b).
-3*(b - 2)*(b - 1)*(b + 3)
Let g(m) = 25*m**2 - 175*m + 11. Let z be (-10)/(-65) + (-564)/(-52). Let t(o) = -5*o**2 + 35*o - 2. Let f(d) = z*t(d) + 2*g(d). What is u in f(u) = 0?
0, 7
Let w(q) be the second derivative of -q**6/75 + 11*q**5/50 - 19*q**4/30 + 3*q**3/5 - 229*q. Determine g so that w(g) = 0.
0, 1, 9
Let q be (-12)/8*(-28 - -26). Factor -2/3*j**q + 2*j**2 + 2/3 - 2*j.
-2*(j - 1)**3/3
Let p(i) be the third derivative of -3*i**7/25 - 11*i**6/50 - 2*i**5/75 + 2*i**4/15 + 86*i**2 + 2. Factor p(n).
-2*n*(3*n + 2)**2*(7*n - 2)/5
Let d(s) = -s**4 - s**3 + s**2 - 1. Let h = -29 + 28. Let v(w) = w**4 + 46*w**3 - 96*w**2 + 80*w - 19. Let m(t) = h*v(t) - 6*d(t). Factor m(f).
5*(f - 5)*(f - 1)**3
Let v(k) be the first derivative of -k**4/32 - k**3/8 + k**2/16 + 3*k/8 - 113. Suppose v(j) = 0. Calculate j.
-3, -1, 1
Let c = 3812/3 - 1270. Factor -8/3*a**2 - 4/3 - 10/3*a - c*a**3.
-2*(a + 1)**2*(a + 2)/3
Suppose -23*a = -21*a - 4*o + 2, -o = -2*a + 4. Determine f so that 0 + 0*f - f**2 + 1/2*f**a = 0.
0, 2
Let z(x) be the first derivative of 0*x - 1/20*x**5 + 0*x**4 + x**2 - 6 + 0*x**3. Let d(h) be the second derivative of z(h). Factor d(o).
-3*o**2
Let p(b) be the third derivative of -b**5/120 - b**4/16 - b**3/6 - 5*b**2 - 10*b. Factor p(w).
-(w + 1)*(w + 2)/2
Let w(h) = 38*h**2 - 670*h - 276. Let n(k) = -13*k**2 + 223*k + 92. Let g(b) = 8*n(b) + 3*w(b). Find l, given that g(l) = 0.
-2/5, 23
Suppose -19/3*t - 34/3 - 1/3*t**2 = 0. What is t?
-17, -2
Let p(u) = -7*u + 84. Suppose -73 - 95 = -14*r. Let y be p(r). What is l in 3/2*l + l**2 + y - 1/2*l**3 = 0?
-1, 0, 3
Factor k**3 - 15*k + 28 - 6 + 24*k**2 - 4*k**3 - 64.
-3*(k - 7)*(k - 2)*(k + 1)
Let v(c) be the first derivative of 2*c**3/15 + 54*c**2/5 + 1458*c/5 - 254. Factor v(g).
2*(g + 27)**2/5
Let b be -6*(114/(-18) - -6). Let g(r) be the first derivative of -1 - 6*r + 4/3*r**3 + 5*r**b. Factor g(t).
2*(t + 3)*(2*t - 1)
Let h(z) be the second derivative of z**4/18 - z**3/9 - 2*z**2 - 2*z - 65. Find g such that h(g) = 0.
-2, 3
Let j(x) be the first derivative of x**6/2880 - x**5/96 + 25*x**4/192 + 8*x**3/3 - 10. Let q(v) be the third derivative of j(v). Let q(h) = 0. Calculate h.
5
Let c(z) be the first derivative of z**2 + 1 - z**4 + 1/3*z**6 + 0*z**3 + 0*z + 0*z**5. Factor c(n).
2*n*(n - 1)**2*(n + 1)**2
Let k(t) be the third derivative of 7/160*t**6 + 0 - 1/40*t**7 - 3/448*t**8 + 3/80*t**5 + 0*t + 0*t**4 + 14*t**2 + 0*t**3. Suppose k(o) = 0. Calculate o.
-3, -1/3, 0, 1
Let u(z) = -2*z**4 + 16*z**3 - 52*z**2 + 52*z - 24. Let f(n) = -n**3 - n**2 - n - 2. Let j(k) = -2*f(k) + u(k). Find d, given that j(d) = 0.
1, 2, 5
Suppose 0 = -3*c - 7 + 7. Let m be (2 - -1)/(108/16 + c). Let 2/9*n**4 + 2/9*n - 2/3*n**3 + m*n**5 - 2/9*n**2 + 0 = 0. What is n?
-1, 0, 1/2, 1
Factor -2647*q**3 + 20*q**4 + 5313*q**3 - 20*q**2 - 8*q - 2658*q**3.
4*q*(q - 1)*(q + 1)*(5*q + 2)
Suppose -34*x + 37*x = 9. Let u(y) be the first derivative of 3/26*y**4 + 0*y + 8/39*y**x + 1/13*y**2 + 2. Factor u(q).
2*q*(q + 1)*(3*q + 1)/13
Let f(b) be the third derivative of -b**7/8820 + b**6/2520 + 5*b**4/8 - 12*b**2. Let u(s) be the second derivative of f(s). Find t such that u(t) = 0.
0, 1
Let f(d) = -d**3 + 5*d**2 + 8*d - 2. Let z be f(6). Suppose 0 = -z*w + 7*w + 9. Find x, given that -8*x + 12*x**2 - 10/3*x**w - 16/3 = 0.
-2/5, 2
Let v(w) = 8*w**3 - 49*w**2 + 40*w - 5. Let l(i) = -34*i**3 + 195*i**2 - 160*i + 21. Let k(z) = 3*l(z) + 11*v(z). Factor k(d).
-2*(d - 2)*(d - 1)*(7*d - 2)
Let t(h) = h + 4. Let x be t(5). Let c be (x + 539/(-63))/((-2)/(-3)). Factor -c*d**2 + 2/3*d + 0.
-2*d*(d - 1)/3
Let a(c) = 6*c**2 + 10*c + 13. Let u(q) = q**2. Let b(l) = a(l) - 3*u(l). Let i(v) = 8*v**2 + 28*v + 40. Let n(d) = 16*b(d) - 5*i(d). Factor n(j).
4*(j + 2)*(2*j + 1)
Let h(v) be the first derivative of v**5/5 - v**4/3 - 13*v + 18. Let m(c) be the first derivative of h(c). Factor m(r).
4*r**2*(r - 1)
Let a(c) = -c**2 - 1. Let v be a(1). Let n(p) = -5*p**2 + 3*p. Let m(i) = 53935 - 53935 - 2*i**2. Let j(y) = v*n(y) + 4*m(y). Let j(l) = 0. What is l?
0, 3
Let s be 1*2 + (8/8)/1. Find p, given that -200 + 4*p**2 + 8*p**3 - s*p**5 - 3*p + 204 - 7*p + 5*p**5 - 8*p**4 = 0.
-1, 1, 2
Let n = 139 - 79. Let m be 4/10*75/n. Solve 2*r**2 + m*r + 0 = 0.
-1/4, 0
Let h(v) = v - 9. Let a be h(14). Factor 2*q - 11*q + a*q + 3*q**2 + 10*q.
3*q*(q + 2)
Let l(x) be the first derivative of 5*x**4/8 + 35*x**3/3 + 45*x**2/4 - 9*x + 26. Let s(m) be the first derivative of l(m). Factor s(f).
5*(f + 9)*(3*f + 1)/2
Let z(j) be the third derivative of j**8/50400 - j**6/450 - j**5/2 - 34*j**2. Let h(p) be the third derivative of z(p). Factor h(f).
2*(f - 2)*(f + 2)/5
Determine f, given that -39*f**2 - 33*f**3 + 82*f**3 - 72*f - 25*f**3 - 27 - 30*f**3 = 0.
-3, -1/2
Suppose 0 = -105*h + 46*h + 354. Let r(o) be the third derivative of 0*o - h*o**2 - 1/10*o**3 - 1/24*o**4 + 1/600*o**6 - 1/300*o**5 + 0. Factor r(l).
(l - 3)*(l + 1)**2/5
Let m(r) = 2*r + 3. Let g be m(0). Suppose 3*t - g = 3. Factor -6*l - 1 + 3*l**2 + 5*l**2 - 10*l**t - 3.
-2*(l + 1)*(l + 2)
Let q(m) = 3*m**2 - 13*m + 9. Let k be q(5). Let 12*v + v**2 - 37*v + k*v + 9 = 0. What is v?
3
Let w(s) = 16*s - 25. Let j be w(2). Let o(z) be the second derivative of 0 + 0*z**4 + 0*z**2 - j*z + 1/30*z**5 - 1/9*z**3. Factor o(a).
2*a*(a - 1)*(a + 1)/3
Solve -165*l**2 + 7*l**4 - 7*l**3 - 8*l**4 - 54*l**3 - 26*l**3 - 2*l**4 - 81*l = 0 for l.
-27, -1, 0
Factor -26*j**2 + 0 + 1/2*j**5 - 17/2*j**4 + 28*j**3 + 0*j.
j**2*(j - 13)*(j - 2)**2/2
Let s(z) = 21*z**4 + 83*z**3 - 124*z**2 + 25*z - 10. Let j(l) = -21*l**4 - 82*l**3 + 125*l**2 - 26*l + 8. Let q(p) = -5*j(p) - 4*s(p). Solve q(b) = 0.
-5, 0, 2/7, 1
Let i(a) = -a**3 - 31*a**2 - 80*a + 117. Let q be i(-28). Find j such that 0*j**4 + 4/7*j**q - 4*j**3 - 8/7*j**2 + 48/7*j + 32/7 = 0.
-2, -1, 2
Determine n, given that -33/2*n**4 + 9*n + 57/2*n**2 - 3/2*n**3 + 9/2*n**5 + 0 = 0.
-1, -1/3, 0, 2, 3
Let r(c) be the second derivative of -c**6/6 - c**5/5 + c**4/12 + 231*c. Factor r(v).
-v**2*(v + 1)*(5*v - 1)
Suppose 3*q - 2*q + 5*o - 31 = 0, 2*q + 4*o - 32 = 0. Let t be q/(-2)*3/(27/(-12)). What is z in -1/2*z**4 + 7/2*z**3 - t - 9*z**2 + 10*z = 0?
1, 2
Let z(c) be the first derivative of c**3/9 - c**2 + 5*c/3 + 64. Determine i, given that z(i) = 0.
1, 5
Let f be (-7)/(-8) + -1 + (-4628)/(-9632). Let o = f - 3/43. Suppose -4/7 + o*s**2 - 2/7*s = 0. What is s?
-1, 2
Let t(x) = 5*x**2 - 31*x - 10. Let z(r) = -5*r**2 + 30*r + 5. Let g(u) = 5*t(u) + 6*z(u). Determine d so that g(d) = 0.
1, 4
Let x(n) = -33*n**2 + 27*n - 69. Let y(l) = -8*l**2 + 7*l - 17. Let k(j) = -5*x(j) + 21*y(j). What is i in k(i) = 0?
2
Let h(v) be the second derivative of -v**5/8 + 30*v**4 - 8875*v**3/4 + 25205*v**2/2 + 207*v. Determine x, given that h(x) = 0.
2, 71
Let y(c) = c**2 - 4*c - 1. Let o be 3/18 - 58/(-12). Let g be y(o). Factor -2 - 4*a**3 + 5*a - 2*a**g + 0*a**4 - 2*a**2 - a**5 + 6*a**4.
-(a - 2)*(a - 1)**3*(a + 1)
Let p(j) = -5*j**4 + 68*j**3 - 81*j**2 + 25*j + 14. Let a(z) = -3*z**4 + 34*z**3 - 41*z**2 + 13*z + 6. Let w(r) = 7*a(r) - 3*p(r). Find o such that w(o) = 0.
0, 2/3, 1, 4
Suppose -4*z = -c - 6, 2*z - 2*c - 4 = -2*z. Let v be 1*(1 + 8)/3. Factor 0 + 5*a**4 - 5*a**v + z