6*i - 43*i - 9. Find r such that 46*r**4 + 7*r + 13*r - 8*r**5 + 16*r - 8 - 21*r**i - 7*r**5 - 38*r**2 = 0.
-1, 2/5, 2/3, 1, 2
Factor -2888/7 - 2/7*l**2 - 152/7*l.
-2*(l + 38)**2/7
Let j(f) be the third derivative of f**8/84 - 4*f**7/35 + 13*f**6/30 - 4*f**5/5 + 2*f**4/3 - 164*f**2. Find b such that j(b) = 0.
0, 1, 2
Let c = 1841/9136 - 8/571. Let l(q) be the first derivative of 3/4*q**3 - 6 - c*q**4 + 3/4*q - 9/8*q**2. Factor l(d).
-3*(d - 1)**3/4
Let q(h) be the third derivative of 121*h**8/4032 + 11*h**7/378 + h**6/108 + h**4/6 + 4*h**2. Let k(y) be the second derivative of q(y). Solve k(i) = 0 for i.
-2/11, 0
Let d(a) be the first derivative of 25*a**6/6 - 6*a**5 - 45*a**4/4 + 10*a**3/3 - 662. Suppose d(h) = 0. Calculate h.
-1, 0, 1/5, 2
Let x be (-2 + (-26)/(-12))*4. Let i be (-16)/12 - (57/9 + (-49 - -41)). Factor 0 + q**3 - i*q - x*q**2.
q*(q - 1)*(3*q + 1)/3
Determine r so that -80/3*r + 27 - 1/3*r**2 = 0.
-81, 1
Let s be 3*21/9 - (-7 - -5). Let b(w) be the first derivative of -3/2*w**6 - 5 - s*w**3 - 3*w**2 - 45/4*w**4 - 33/5*w**5 + 0*w. Let b(u) = 0. Calculate u.
-1, -2/3, 0
Let z(b) be the first derivative of b**4/18 - 7*b**2/9 - 4*b/3 - 5. Find d, given that z(d) = 0.
-2, -1, 3
Let c(n) = -5*n**2 - 11*n - 18. Let y(q) = q**2 + 2. Let o(r) = -c(r) - 4*y(r). Factor o(w).
(w + 1)*(w + 10)
Let k = 28681/2688 + -3/896. What is a in -k - 2/3*a**2 - 16/3*a = 0?
-4
Determine m so that 10*m**3 + 0 + 14/3*m**4 + 2/3*m**5 + 26/3*m**2 + 8/3*m = 0.
-4, -1, 0
Let t = -1844 - -3693/2. Find k such that 3*k - t - 1/2*k**2 = 0.
1, 5
Let g(s) be the third derivative of -17*s**5/15 + 2*s**4/3 - 83*s**2. Factor g(p).
-4*p*(17*p - 4)
Let y be (10/(-35))/(4/(-7)). Let w be ((-10)/(-4))/(3 + 2). Find x, given that x + w*x**2 - y*x**3 + 0 = 0.
-1, 0, 2
Let x(b) be the second derivative of -b**5/30 + 55*b**4/18 - 87*b**3 + 243*b**2 - 31*b + 1. Factor x(c).
-2*(c - 27)**2*(c - 1)/3
Let w(y) = -5*y**3 + 219*y**2 - 447*y + 203. Let z(v) = -15*v**3 + 658*v**2 - 1339*v + 611. Let c(h) = 17*w(h) - 6*z(h). Find p such that c(p) = 0.
1, 43
Let r = -34 - -38. Let b(q) be the second derivative of 7/24*q**r + 1/2*q**2 + 3*q + 3/4*q**3 + 0. Factor b(t).
(t + 1)*(7*t + 2)/2
Let w = 9 - 9. Suppose -5*a = q - 17, w*q + 8 = 5*a + 4*q. Determine z so that 2 - 4 - a*z + 0*z**2 - z**2 - 1 = 0.
-3, -1
Let v(p) be the first derivative of 11*p**2 + 121*p + 1/3*p**3 - 1. Factor v(h).
(h + 11)**2
Let r(u) = -u**3 + 17*u**2 + 18*u + 2. Let s be r(18). Determine f, given that s*f**2 + 0*f**2 - 10*f**3 - 5*f**4 - 7*f**2 = 0.
-1, 0
Suppose -45 = -5*d + 5*v, 4*v + 0*v = -5*d. Let c be (87/42 + -2)/(d/16). Let -c*s**3 + 0 + 6/7*s + 4/7*s**2 = 0. What is s?
-1, 0, 3
Let p = -22 - -19. Let c be (p + -3)/3 - -6. Find w, given that 12*w**3 - 6*w + c*w**5 - w**4 + 0*w - 8*w**2 + 4 + 5*w**4 - 10*w**5 = 0.
-1, 2/3, 1
Let l(a) be the second derivative of -40*a + 1/3*a**3 - 1/15*a**6 + 1/3*a**4 + 0 - 1/5*a**5 - a**2 + 1/21*a**7. Factor l(i).
2*(i - 1)**3*(i + 1)**2
Let x(g) be the third derivative of 0*g**3 + 0*g + 0 + 1/960*g**6 + 1/420*g**7 - 1/192*g**4 - 1/120*g**5 - 5*g**2. Determine m, given that x(m) = 0.
-1, -1/4, 0, 1
Let y(g) be the first derivative of g**3/2 - 15*g**2/2 - 20. Find d, given that y(d) = 0.
0, 10
Let w = 57 + -52. Find d such that 7 - w + 0 - 7*d + d**2 + 4*d = 0.
1, 2
Suppose -2*d + 22 - 14 = 0. Suppose 4 = -4*l - 5*b - 8, 0 = -5*l - d*b - 6. Find z, given that 1/6 - 2/3*z**4 + 5/6*z - 5/6*z**3 + 1/2*z**l = 0.
-1, -1/4, 1
Let k = -431/27 - -440/27. Suppose -13/3*h - 7/3 - 5/3*h**2 + k*h**3 = 0. What is h?
-1, 7
Let l be 36 - (0/3)/(-1). Factor s**3 - s**4 + 40*s**2 - l*s**2 + 4*s**5 - 5*s**3 - 3*s**4.
4*s**2*(s - 1)**2*(s + 1)
Let p = -56 + 64. Determine q so that -12*q**2 - 144 + 48*q + p*q**2 + 0*q**2 = 0.
6
Factor 20 + 2/3*g - 2/3*g**2.
-2*(g - 6)*(g + 5)/3
Let 6*c**3 - 18*c - 4*c**4 + 18*c**2 + 7*c**4 - 30*c**3 + 21*c**2 = 0. Calculate c.
0, 1, 6
Let h(w) = -12*w**2 - 15*w**2 - 18 - 15*w**3 - w**2 + 45*w + 4*w**2. Let n(u) = -u**3 - u**2 + u. Let s(j) = -h(j) + 12*n(j). Factor s(f).
3*(f - 1)**2*(f + 6)
Let q(u) = 4*u + 4. Let m be q(0). Factor -3*k**m + 12*k**5 - 7*k**4 + 7*k**4.
3*k**4*(4*k - 1)
What is w in -3/5*w**2 + 4/5*w**3 - 2/5*w**5 + 0 + 3/5*w**4 - 2/5*w = 0?
-1, -1/2, 0, 1, 2
Factor 4/5*p**2 - 96/5*p + 576/5.
4*(p - 12)**2/5
Let q(a) be the first derivative of -a**5/135 - 8*a**4/27 - 128*a**3/27 - 23*a**2/2 - 39. Let f(y) be the second derivative of q(y). Factor f(m).
-4*(m + 8)**2/9
Factor 0 - 14*k - 2/3*k**2.
-2*k*(k + 21)/3
Let b(d) = d**3 - 5*d**2 - 5*d - 1. Let k be b(6). Find g, given that 20*g**5 - 2*g**3 + k*g - 19*g**5 - 4*g = 0.
-1, 0, 1
Let r(d) = -d**2 + 39*d**4 + 35*d**3 - 29*d**3 + d**2. Let m(v) = 8*v**4 + v**3. Let x(l) = -24*m(l) + 5*r(l). Find p such that x(p) = 0.
-2, 0
Suppose -p = 5*x + 26, x - 2*p + 2 = 2*x. Let j be ((-552)/(-90) + x)*9. Factor -3/5*v**2 + 3/5*v + j.
-3*(v - 2)*(v + 1)/5
Let b(s) be the third derivative of s**8/112 - s**7/10 - 9*s**6/20 + 13*s**2 + 12*s. Factor b(k).
3*k**3*(k - 9)*(k + 2)
Let k(l) = 3*l**2 + 4*l - 1. Suppose 0 = -5*n + 14 - 49. Let d(g) = 10*g**2 + 13*g - 2. Let h(o) = n*k(o) + 2*d(o). Factor h(y).
-(y - 1)*(y + 3)
Let p(c) be the third derivative of -1/168*c**8 + 0*c**4 + 1 + 1/15*c**5 - c**2 + 0*c - 1/12*c**6 + 4/105*c**7 + 0*c**3. Factor p(h).
-2*h**2*(h - 2)*(h - 1)**2
Let y(q) = -q**2 - q + 32. Let z be y(-6). Let d(k) be the first derivative of -k**3 - 4 + 6*k + 3/2*k**z. What is v in d(v) = 0?
-1, 2
Factor -1104/5*z**3 - 435*z + 150 + 468*z**2 + 192/5*z**4.
3*(z - 2)*(4*z - 5)**3/5
Let o(g) = 3*g**2 - 6*g + 18. Let h(y) = -29*y + 356 + 6*y**2 - 265 + 10*y**2. Let n(s) = 4*h(s) - 22*o(s). Suppose n(b) = 0. Calculate b.
4
Let v(h) be the third derivative of -5*h**8/336 + h**6/8 + h**5/6 + 179*h**2. Factor v(i).
-5*i**2*(i - 2)*(i + 1)**2
Let o(j) be the first derivative of 2/45*j**5 - 1 + 2/27*j**3 + 0*j + 1/9*j**4 + 0*j**2. Suppose o(v) = 0. Calculate v.
-1, 0
Solve -37/2 + 1/6*w**2 - 55/3*w = 0 for w.
-1, 111
Suppose 0*r + 2*r**2 - 15*r**2 - r + 7*r**2 + 9*r - 2 = 0. What is r?
1/3, 1
Let z = -4 + 1. Let w(g) = g**2 + g - 4. Let n be w(z). Let 3 - 2*t**3 + 4*t**n - 1 + 2*t**2 - 8*t + 2*t = 0. What is t?
1
Let y = 20 - 31. Let q be (8 + y)/(-2 - -1). Solve 7*s - s**3 - 3*s**3 - q*s = 0 for s.
-1, 0, 1
Let m(q) be the second derivative of -q**4/96 + 9*q**2/16 + 50*q - 1. Factor m(j).
-(j - 3)*(j + 3)/8
Let g(c) be the second derivative of c**5/40 + c**4/2 - 9*c**3/4 + 7*c**2/2 - 422*c. Let g(h) = 0. What is h?
-14, 1
Let s(m) = -16*m**3 - 22*m**2 + 20*m - 22. Let t(f) = 3*f**3 + 4*f**2 - 4*f + 4. Let q(b) = 6*s(b) + 33*t(b). Factor q(u).
3*u*(u - 2)*(u + 2)
Let h(b) be the first derivative of -8*b**5/55 + 4*b**4/11 + 5*b**3/11 + 2*b**2/11 - 15*b - 4. Let r(a) be the first derivative of h(a). Factor r(f).
-2*(f - 2)*(4*f + 1)**2/11
Let x(d) = -52*d**4 - 558*d**3 + 468*d**2 - 96*d + 4. Let l(u) = 157*u**4 + 1673*u**3 - 1402*u**2 + 288*u - 14. Let b(g) = -2*l(g) - 7*x(g). Factor b(t).
2*t*(t + 12)*(5*t - 2)**2
Let o = -95 - -95. Let x(i) be the second derivative of -10/3*i**3 + 4*i**2 + o + 5*i + i**4 + 1/5*i**5 - 2/15*i**6. Suppose x(c) = 0. What is c?
-2, 1
Let d(s) = -s**3 + 11*s**2 + 14*s - 20. Let p be d(12). Let n be p*(-1)/4*-2. Factor 1/2*a - n*a**2 + 0 + 3/2*a**3.
a*(a - 1)*(3*a - 1)/2
Let d = -89 - -91. Find j, given that 10*j**2 - 100 + 55*j**3 - 60*j + 26*j**d - 59*j**3 = 0.
-1, 5
Solve 16/3 + 4/3*w**5 - 8/3*w**4 - 8/3*w**2 - 32/3*w**3 + 28/3*w = 0.
-1, 1, 4
Let w be (-1)/(1*1/(-3)). Let h = -2146 + 2148. Determine r, given that 0 + 0*r**h + 1/2*r - 1/2*r**w = 0.
-1, 0, 1
Let r(k) be the first derivative of -5 + 19 - 13*k**2 + 7*k**2 - 4*k - 4*k**3 - k**4. Suppose r(a) = 0. Calculate a.
-1
Let g(v) be the second derivative of -v**5 - 15*v**4/4 - 5*v**3 - 5*v**2/2 - 2*v - 3. Suppose g(o) = 0. Calculate o.
-1, -1/4
Let z(h) = -3*h**4 + 51*h**3 - 867*h**2 + 4915*h - 4. Let c(f) = -f**4 + f - 2. Let d(b) = 10*c(b) - 5*z(b). Suppose d(g) = 0. Calculate g.
0, 17
Let m(a) = a**2 - 40 + 7*a - 4*a - a + 4*a. Let n be m(-10). Factor 4/9*s**2 + n + 2/9*s**4 + 0*s + 2/3*s**3.
2*s**2*(s + 1)*(s + 2)/9
Let j(a) = -19*a + 57. Let f be j(3). Factor 0*t + 35/2*t**5 - 2*t**3 + 0*t**2 + f - 2*t**4.
