e -43 + 103 = j*c. Solve 0 + 4/11*t**3 + 16/11*t + 24/11*t**c - 2/11*t**5 - 6/11*t**4 = 0.
-2, -1, 0, 2
Let g(n) be the third derivative of -31*n**5/12 - 505*n**4/24 + 27*n**2. Let d(c) = 7*c**2 + 23*c. Let s(m) = 45*d(m) + 2*g(m). Factor s(x).
5*x*(x + 5)
Let j(s) be the second derivative of s**8/3920 - s**6/840 - 8*s**3 + s + 115. Let o(f) be the second derivative of j(f). Suppose o(x) = 0. Calculate x.
-1, 0, 1
Let q(n) be the third derivative of -n**8/168 - n**7/21 + 17*n**6/20 + n**5/6 - 25*n**4/6 + 6*n**2 - 100. Suppose q(c) = 0. What is c?
-10, -1, 0, 1, 5
Let g(h) be the third derivative of h**8/4032 + 5*h**7/1008 + 3*h**5/20 - h**3/6 - 45*h**2. Let s(z) be the third derivative of g(z). Factor s(k).
5*k*(k + 5)
Let a(l) = 4*l**4 + 10*l**3 - 32*l**2 - 36*l + 2. Let c(j) = -5*j**4 - 11*j**3 + 33*j**2 + 36*j - 3. Let v(x) = -3*a(x) - 2*c(x). Suppose v(m) = 0. What is m?
-6, -1, 0, 3
Let l(s) be the second derivative of -s**6/120 - s**5/10 + 5*s**4/8 - 8*s**3/3 - 17*s - 3. Let d(y) be the second derivative of l(y). Factor d(f).
-3*(f - 1)*(f + 5)
Let a(j) be the third derivative of -j**6/720 - 37*j**5/120 - 323*j**4/16 + 1083*j**3/4 + 2*j**2 - 16*j + 11. Factor a(m).
-(m - 3)*(m + 57)**2/6
Let p(y) be the first derivative of -y**5 - 20*y**4 - 55*y**3/3 + 160*y**2 + 300*y - 1486. Suppose p(t) = 0. What is t?
-15, -2, -1, 2
What is g in -5/4*g**2 - 115/2*g + 120 = 0?
-48, 2
Let x = 2017/3968 - 33/3968. Factor 0*c + 1/2 - x*c**2.
-(c - 1)*(c + 1)/2
Suppose 0 = 4*t + 339*q - 325*q + 98, -5*t = 3*q + 21. Solve t - 4/3*s**2 - 2/3*s**3 - 2/3*s = 0.
-1, 0
Suppose 10*z + 260 = -3*z. Let o = z - -139. Suppose 70*b**2 + b**4 + o*b**2 - 156*b**2 - 40*b - 10*b**3 + 16 = 0. What is b?
1, 4
Determine q, given that -52/19*q - 54/19 + 2/19*q**2 = 0.
-1, 27
Let m(q) = -7*q**2 + 13*q - 3. Let h(x) = -20*x**2 + 38*x - 9. Let a(o) = -6*h(o) + 17*m(o). Let v be a(7). Factor 2*j**3 - 3*j**v - 20 - 6*j**2 + 52.
-(j - 2)*(j + 4)**2
Let c(g) be the first derivative of g**4/26 - 19*g**2/13 + 60*g/13 - 1300. Factor c(w).
2*(w - 3)*(w - 2)*(w + 5)/13
Let u(b) be the first derivative of 9*b**5/40 - 19*b**4/8 + 20*b**3/3 - 1318. Factor u(v).
v**2*(v - 4)*(9*v - 40)/8
Let m(i) be the second derivative of 3/2*i**3 + 0*i**2 + 1/14*i**7 + 1/2*i**4 - 3/5*i**5 - 1/5*i**6 + 58*i + 0. Factor m(t).
3*t*(t - 3)*(t - 1)*(t + 1)**2
Let f be 10*(27/(-6) + 5). Let w(r) = r**3 - 4*r**2 - r + 30. Let b be w(f). Factor -14*h**2 - b + 10*h**2 + 35*h - h**2.
-5*(h - 5)*(h - 2)
Let k(h) be the first derivative of h**6/540 + h**5/20 + 5*h**4/9 + 38*h**3 + 2. Let d(i) be the third derivative of k(i). Let d(o) = 0. Calculate o.
-5, -4
Let h be ((4928/140 - 25) + -11)/(4/(-50)). Factor 0 - 2/5*i**3 - h*i + 4*i**2.
-2*i*(i - 5)**2/5
Let 4962/7*z**2 - 1992/7 + 30/7*z**3 - 3000/7*z = 0. Calculate z.
-166, -2/5, 1
Let u = -570 - -575. Let g(s) be the first derivative of -9/4*s**4 + 9 + 0*s + 0*s**2 + 0*s**u + 1/2*s**6 - 2*s**3. Let g(o) = 0. Calculate o.
-1, 0, 2
Let b(w) be the first derivative of 0*w**2 - 17/2*w**4 + 5/3*w**6 - 27 + 6/5*w**5 + 8*w - 38/3*w**3. Let b(o) = 0. Calculate o.
-1, 2/5, 2
Let v(r) = r - 11. Let j be (1 + 22/8)*4. Let l be v(j). Find s such that -4*s**2 + 3*s**3 - 32*s**4 + 20*s**l + 4*s**5 + 9*s**3 = 0.
0, 1
Let w be -3 - (-18)/(-27)*-51. Suppose -w*q = -114 + 21. Solve -4/3*c**2 - 2/3*c**4 + 2 + 8/3*c**q - 8/3*c = 0.
-1, 1, 3
Suppose 78920 + 133*m + 42*m - 78970 - 73*m**2 - 7*m**3 + 3*m**4 = 0. What is m?
-5, 1/3, 2, 5
Suppose 0 = 204*x + 146*x - 5250. What is i in 31/4*i**3 - x*i + 1 - 33/4*i**2 = 0?
-1, 2/31, 2
Suppose 0 = 5*o + 283 - 293. Solve -18 - 2*t**o + t**2 - 27*t + 31*t - 15*t = 0.
-9, -2
Let c(s) = 2*s**4 + s**2 - s + 1. Let t(d) = -8*d**4 + 101*d**3 - 104*d**2 - 421*d - 218. Let h(j) = -2*c(j) - t(j). Determine k so that h(k) = 0.
-1, -3/4, 3, 24
Let r(h) = -h**4 + 30*h**3 - 73*h**2 - 276*h - 142. Let a(o) = -2*o**4 + 58*o**3 - 146*o**2 - 552*o - 281. Let m(z) = 6*a(z) - 13*r(z). Factor m(b).
(b - 40)*(b - 4)*(b + 1)**2
Determine b so that 260/7*b**3 + 1072/7 + 564/7*b**2 - 1892/7*b - 4/7*b**4 = 0.
-4, 1, 67
Let b(x) be the third derivative of -67228*x**7/3 - 199283*x**6/6 + 22785*x**5/2 - 36125*x**4/24 + 625*x**3/6 + 87*x**2 - 32*x. What is k in b(k) = 0?
-1, 5/98
Let r(i) = -9*i**2 + 40*i + 29. Let q(l) = -8*l**2 + 38*l + 17*l + 32 - 15*l. Let j(x) = -5*q(x) + 4*r(x). Find g such that j(g) = 0.
-1, 11
Let 1450*w**2 + 2930 + 13088*w - 32857*w + 15384*w + 5*w**3 = 0. Calculate w.
-293, 1, 2
Suppose 3*m - 21 = -4*m. Suppose 3*o = m*x - 159, -x + o + 3*o + 62 = 0. Factor -161*n**3 + x*n**4 + 200*n**2 - 35*n**5 - 80*n - 4*n**3 + 30*n**5.
-5*n*(n - 4)**2*(n - 1)**2
Factor 318 - 46*b + 63*b - 36*b - 2*b**2 - 81*b.
-2*(b - 3)*(b + 53)
Suppose -306*g = -296*g - 90. Let a be (-60)/(-50)*15/g. Factor -4/3*x**5 - a*x**3 - 10/3*x**4 + 2/3*x + 2/3*x**2 + 0.
-2*x*(x + 1)**3*(2*x - 1)/3
Let l(f) be the first derivative of -40*f**5/9 + 1445*f**4/18 - 134*f**3/9 - 137*f**2 + 114*f - 5982. Let l(q) = 0. What is q?
-1, 3/5, 57/4
Let h(p) be the second derivative of -5*p**7/42 + 9*p**5 + 7*p + 49. Factor h(v).
-5*v**3*(v - 6)*(v + 6)
Let o(s) be the third derivative of s**6/40 - s**5/10 - 21*s**4/8 - 9*s**3 - 5*s**2 - 8. Factor o(d).
3*(d - 6)*(d + 1)*(d + 3)
Let g(k) = 4*k**2 + 56*k - 826. Let j be g(9). Suppose 10/11*c + 8/11*c**j + 2/11 = 0. Calculate c.
-1, -1/4
Let t(a) = a**3 + 2828*a**2 - 6*a. Let v(o) = -5*o**3 - 11315*o**2 + 25*o. Let r(w) = 25*t(w) + 6*v(w). Factor r(h).
-5*h**2*(h - 562)
Let t(g) be the first derivative of g**6/72 + 2*g**5/3 - 2*g**3/3 - 74*g + 44. Let q(x) be the third derivative of t(x). Find b such that q(b) = 0.
-16, 0
Let z(x) be the second derivative of x**7/126 + x**6/30 - 4*x**5/15 + x**4/3 + 2*x - 879. Factor z(d).
d**2*(d - 2)*(d - 1)*(d + 6)/3
Let y(b) be the second derivative of -b - 28 - 6/23*b**2 + 1/230*b**5 + 1/69*b**4 - 5/69*b**3. Factor y(u).
2*(u - 2)*(u + 1)*(u + 3)/23
Let d(b) = -6 - 9 + 0 + 0 + 2*b. Let a be d(9). Let 20*k**2 - 8*k**a + 2*k**4 - 7*k**4 + 36*k + 4*k**5 + 28*k**2 - 11*k**4 = 0. Calculate k.
-1, 0, 3
Let x(n) be the first derivative of -1220703125*n**4/4 + 7812500*n**3 - 75000*n**2 + 320*n - 6693. Factor x(k).
-5*(625*k - 4)**3
Let j = 226781 - 2265797/10. Let i = j - 401/2. Factor -i*n**3 + 0 - 16/5*n + 16/5*n**2.
-4*n*(n - 2)**2/5
Let p be (-150)/(-12)*24/60. Let g(h) be the first derivative of -3/40*h**p - 3/16*h**4 + 1/8*h**3 + 0*h + 4 + 3/8*h**2. Factor g(t).
-3*t*(t - 1)*(t + 1)*(t + 2)/8
Determine v so that 60*v**2 - 18*v**4 - 3*v**3 + 30*v**4 - 3*v**3 + 4*v**3 - 14*v**4 = 0.
-6, 0, 5
Find g, given that 4/5 - 1/5*g**2 + 1/5*g**3 - 4/5*g = 0.
-2, 1, 2
Let f(i) = 20*i**5 - 19*i**4 + 125*i**3 - 130*i**2 + 17*i. Let o(w) = 13*w**5 - 13*w**4 + 83*w**3 - 86*w**2 + 11*w. Let a(g) = -11*f(g) + 17*o(g). Factor a(x).
x**2*(x - 8)*(x - 2)**2
Let b(w) be the first derivative of -8/27*w**3 - 2/45*w**5 + 7/12*w**4 - 2/9*w**2 + 0*w - 7/54*w**6 - 103. Solve b(r) = 0 for r.
-2, -2/7, 0, 1
Let h(c) be the third derivative of 2/105*c**7 - 2/15*c**6 + 1/5*c**5 + 2/3*c**4 - c**2 + 71*c + 0 - 8/3*c**3. Factor h(d).
4*(d - 2)**2*(d - 1)*(d + 1)
Let t be 2/(-5)*-5*2. Suppose 0 = -t*r - 5*o + 22, -7*o + 2*o - 50 = -5*r. Find z, given that z - 4*z - r*z**3 + 13*z**3 - 2*z = 0.
-1, 0, 1
Let l(a) be the third derivative of -7*a**6/30 - 5588*a**5/15 - 7175*a**4/6 - 3188*a**3/3 - 4163*a**2. Factor l(q).
-4*(q + 1)*(q + 797)*(7*q + 2)
Let q(v) be the second derivative of v + 27 - 9/20*v**5 - 9/2*v**3 + 3*v**2 + 5/2*v**4. Solve q(r) = 0 for r.
1/3, 1, 2
Let t(n) be the third derivative of -n**6/240 - n**5/40 + 361*n**4/48 - 119*n**3/4 - 6*n**2 + 6*n + 20. Factor t(o).
-(o - 17)*(o - 1)*(o + 21)/2
Let q(x) be the first derivative of -x**3/5 + 762*x**2/5 - 193548*x/5 - 2338. Factor q(v).
-3*(v - 254)**2/5
What is k in -42/5*k**4 + 108*k - 69/5*k**3 + 3/5*k**5 + 324/5*k**2 + 0 = 0?
-2, 0, 3, 15
Let t(f) be the second derivative of 3*f + 1/21*f**6 + 2/7*f**3 - 1/7*f**2 - 2/21*f**4 + 32 - 3/35*f**5. Determine m, given that t(m) = 0.
-1, 1/5, 1
Let w(g) = 2*g**3 - 3*g. Let n(x) = -5*x**3 + 7*x**2 + 176*x. Let r(u) = n(u) + 2*w(u). Factor r(d).
-d*(d - 17)*(d + 10)
Let o be ((-3)/(-4))/(6*2/(-7556)). Let q = -472 - o. Factor q*d**4 + 1/2*