 - 58 = x + x, 0 = g + x + 11. Let k be (-13)/(-3) - (-10)/g. Find m such that k*m**2 + 1/2*m**3 + 15/2*m + 9/2 = 0.
-3, -1
Let g(l) = 2*l**2. Let s be g(2). Suppose s*f = -13 + 45. Let -4*c**5 - 4*c**f - 1/4*c + 17/4*c**2 - 1/4 + 17/4*c**3 = 0. Calculate c.
-1, -1/4, 1/4, 1
Let j(y) = 16*y**2 - 208*y + 2701. Let g(l) = 20*l**2 - 208*l + 2700. Let h(t) = -3*g(t) + 4*j(t). Factor h(r).
4*(r - 26)**2
Let j be 6/((-168)/20) + 2/(-7). Let d be 2/1 - (j - -3). Factor -q**3 + 2/3*q**2 + d - 1/6*q - 1/6*q**5 + 2/3*q**4.
-q*(q - 1)**4/6
Let l(q) be the first derivative of -q**4/10 - 4*q**3/5 + 3*q**2 - 16*q/5 + 448. Determine b so that l(b) = 0.
-8, 1
Let z(t) = -9*t + 9. Let q be z(1). Let o(j) be the second derivative of 0*j**2 + 1/42*j**4 + 0*j**3 - 5*j + q. Suppose o(i) = 0. Calculate i.
0
Suppose -4*q = 4*q - 32. Suppose -3*r + 19 = q*b, 10*r = b + 5*r + 1. Factor -b + 10/3*a**2 + 26/3*a.
2*(a + 3)*(5*a - 2)/3
Let m(w) = 2*w**3 + w**2 + 2*w + 4. Let b be m(0). Solve -11*i**b - 2*i**3 - 18 + 4*i**2 + 23*i**4 - 14*i**4 + 10*i**3 - 24*i = 0 for i.
-1, 3
Let r(t) be the second derivative of 0*t**2 - 1/80*t**5 + 1/60*t**6 + 0*t**4 + 2*t + 0*t**3 - 1/168*t**7 + 0. Factor r(f).
-f**3*(f - 1)**2/4
Let u = -5003 - -55053/11. Factor 2/11*s**4 - u*s + 24/11*s**2 + 6/11 - 12/11*s**3.
2*(s - 3)*(s - 1)**3/11
Let l(x) be the second derivative of 56*x**4/3 + 6*x**3 - 4*x**2 + 24*x - 1. Determine u so that l(u) = 0.
-2/7, 1/8
Let b(i) = -3*i**4 + 5*i**3 + 3*i**2 - i. Let g(y) = -30*y**4 + 51*y**3 + 30*y**2 - 9*y. Let u(t) = -21*b(t) + 2*g(t). Suppose u(a) = 0. What is a?
-1, 0, 1
Solve 4/9*c**5 + 8/9*c**4 + 16/3 - 16/3*c**3 - 56/9*c**2 + 44/9*c = 0 for c.
-4, -1, 1, 3
Let i(u) be the second derivative of u**4/36 + 47*u**3/18 + 23*u**2/3 + 2*u - 160. What is j in i(j) = 0?
-46, -1
Let p be (5 - (-673)/(-45)) + 10. Let f(b) be the first derivative of p*b**3 - 2/75*b**5 + 4 + 1/15*b**2 - 1/30*b**4 + 0*b. Factor f(q).
-2*q*(q - 1)*(q + 1)**2/15
Let t(p) be the third derivative of -3*p**8/56 - p**7/14 + 37*p**6/30 + 61*p**5/60 - 29*p**4/6 - 10*p**3 + 208*p**2. Find n, given that t(n) = 0.
-3, -2/3, 1, 5/2
Let t(k) = k**2 - 2. Let v be t(-4). Let 25*f - 12*f - f**2 - v*f = 0. Calculate f.
-1, 0
Factor -2/3*z**3 - 2*z**2 + 2/3*z**4 + 10/3*z - 4/3.
2*(z - 1)**3*(z + 2)/3
Factor 4*p**4 - 66018*p + 4654*p - 284*p**3 + 6900*p**2 + 37173 + 15743 + 44420.
4*(p - 23)**3*(p - 2)
Factor -5*z**2 + 35 - 37*z + 5*z + 2*z.
-5*(z - 1)*(z + 7)
Let g(u) be the first derivative of -3*u**4/4 + u**3 + 3*u**2/2 - 3*u - 323. Factor g(o).
-3*(o - 1)**2*(o + 1)
Suppose -163*q**5 + 22*q**3 + 24*q**4 - 9*q**3 - 68*q**2 + 165*q**5 - 18*q + 44 + 3*q**3 = 0. Calculate q.
-11, -2, -1, 1
Let i(p) be the first derivative of 2/5*p**5 + 4/3*p**3 - 3/2*p**4 + 0*p**2 + 0*p + 1. Solve i(t) = 0.
0, 1, 2
Let o be (-5)/(-10)*-4*3. Let w be o/5*10/(-8). Determine b, given that 3/2 - w*b**2 + 0*b = 0.
-1, 1
Suppose -6/7*w**2 + 8/7*w**3 + 8/7 - 8/7*w - 2/7*w**4 = 0. Calculate w.
-1, 1, 2
Let o(i) be the third derivative of 15/2*i**5 + 6*i**2 + 625/2*i**3 - 125/2*i**4 + 0 - 1/2*i**6 + 1/70*i**7 + 0*i. Factor o(f).
3*(f - 5)**4
Let q be 9 + -7 - 1*-2. Suppose 0 = -q*d + 4*n, 6*n - 4*n = -4*d + 18. Factor 2*x**2 - x**d + 0*x - x - x**4 + x.
-x**2*(x - 1)*(x + 2)
Let y(f) be the third derivative of f**6/480 - 13*f**4/96 + f**3/2 + 23*f**2. Suppose y(b) = 0. Calculate b.
-4, 1, 3
Suppose 0 = -5*l - 2*m + 241, 3*m + 46 = 4*l - 133. Suppose -138/7*a**2 + 20/7*a + 8/7 + 28*a**4 - l*a**3 = 0. Calculate a.
-2/7, 1/4, 2
Factor 78/5*i + 3/5*i**2 + 507/5.
3*(i + 13)**2/5
Suppose 7*o - 11*o - 20 = 0. Let d be o/2*(-1 - 6/(-30)). Factor -20/7*t**3 - 4*t - 4/7*t**4 - 36/7*t**d - 8/7.
-4*(t + 1)**3*(t + 2)/7
Let -507*l - 3/4*l**3 - 39*l**2 + 0 = 0. Calculate l.
-26, 0
Determine s, given that -176*s + 100/9*s**3 - 320/9 - 640/3*s**2 = 0.
-2/5, 20
What is m in 0*m**3 - 3*m**3 - 6*m**3 - 3*m**3 - 8*m**5 + 13*m**3 - 7*m**4 = 0?
-1, 0, 1/8
Let o(v) be the second derivative of 11*v**4/3 + 3*v**3 - v**2 - v + 103. Factor o(j).
2*(2*j + 1)*(11*j - 1)
Find l such that -400/3 - 41/3*l**2 + 1/3*l**3 + 440/3*l = 0.
1, 20
Factor 5 - 25 - 19*z + 14 + 7*z**2.
(z - 3)*(7*z + 2)
Let i(h) be the second derivative of h**5/4 - 85*h**4/3 - 5*h**3/6 + 170*h**2 + 287*h. Find x such that i(x) = 0.
-1, 1, 68
Let -4*x + 12*x**4 + 75*x**2 + 4*x - 4*x**5 - 91*x**2 = 0. Calculate x.
-1, 0, 2
Factor 12*b**5 - 9*b**4 - 8*b**5 - 4*b**3 + 9*b**4.
4*b**3*(b - 1)*(b + 1)
Let p(u) = 3*u**3 + 3*u**2 - 2*u. Let v be p(1). Factor 3 + v*h - 4*h**2 - 5 - 4*h**3 + 6.
-4*(h - 1)*(h + 1)**2
Let l(s) be the second derivative of s**4/78 - 2*s**3/13 + 62*s. Factor l(g).
2*g*(g - 6)/13
Let t(q) be the first derivative of -8*q**5/225 + 2*q**4/45 - q**3/45 - q**2/2 + 3. Let l(z) be the second derivative of t(z). Solve l(a) = 0.
1/4
Factor 8*q**4 + 6*q**4 - 10*q**4 - 4*q**3 - 6*q**4.
-2*q**3*(q + 2)
Let n(d) be the third derivative of d**7/2205 - d**6/1260 - 19*d**5/630 - 11*d**4/252 + 10*d**3/21 + 461*d**2. Determine w, given that n(w) = 0.
-3, -2, 1, 5
Let n = 66271/19327 + -1/2761. Let v(y) be the first derivative of 8 + 12/7*y**3 + 16/7*y - n*y**2. Factor v(i).
4*(3*i - 2)**2/7
Let u(i) be the second derivative of -i**6/30 + 3*i**5/20 - i**4/6 - 65*i. Let u(b) = 0. Calculate b.
0, 1, 2
Let b(m) = 48*m - 48*m + 2*m**2. Let s(h) = 10*h**2 + 2*h + 4. Let c(w) = 6*b(w) - s(w). Suppose c(q) = 0. Calculate q.
-1, 2
Let z(j) = 3*j - 20. Let t be z(9). Let v be -3 + (399/15)/t. Solve 4/5*g**2 - v - 2/5*g**3 + 2/5*g = 0.
-1, 1, 2
Suppose -3*o = 5 - 11. Factor -56*d + 4*d**o - 17 + d**3 + 1 + 13*d**3.
2*(d - 2)*(d + 2)*(7*d + 2)
Solve 1 - 11/4*s**4 + 1/2*s**5 - 13/4*s + 11/4*s**3 + 7/4*s**2 = 0.
-1, 1/2, 1, 4
Let v = -13 - -15. Suppose 0 = u - 5*z - 7, -z - v*z - 3 = 0. Suppose 10*l**3 + 3*l**4 + 10*l**u + 2*l**3 + 6*l + 5*l**2 = 0. What is l?
-2, -1, 0
Let w(l) = -l**2 - 1. Let s(a) = -a**2 - 18*a - 18. Let r be s(-17). Let c(h) = -4*h**2 + h - 1. Let n(m) = r*c(m) + 3*w(m). Suppose n(v) = 0. Calculate v.
-1, 2
Let c be ((-201)/7)/((-6)/(-21)). Let z = 102 + c. Determine p so that -45/2*p**3 + 3*p + 0 - 21/2*p**5 + 57/2*p**4 + z*p**2 = 0.
-2/7, 0, 1
Let 8/9 - 2/9*b**2 - 2/3*b = 0. Calculate b.
-4, 1
Let x(r) be the second derivative of -1/120*r**6 + 1/30*r**5 + 0*r**4 - 5*r + 0*r**3 + 5/2*r**2 + 0. Let z(a) be the first derivative of x(a). Factor z(v).
-v**2*(v - 2)
Let x be 129*(-5)/(-60)*52. Factor x*n**3 + 19*n**2 + 12*n - 556*n**3 - 4*n**2.
3*n*(n + 1)*(n + 4)
Suppose -5*v - 55 = -39*u + 34*u, 3*v = -3*u - 9. Suppose 21*p**3 - 45/2*p + 3*p**2 - 27/2 + 3/2*p**5 + 21/2*p**u = 0. What is p?
-3, -1, 1
Let j(t) be the second derivative of -t**5/150 + 4*t**4/45 - 13*t**3/45 + 2*t**2/5 - 62*t. Factor j(x).
-2*(x - 6)*(x - 1)**2/15
Let p(n) be the third derivative of -n**5/60 - 17*n**4/6 - 67*n**3/6 - 63*n**2 + 2*n. Solve p(s) = 0.
-67, -1
Let y(b) be the second derivative of b**4/33 + b**3/11 - 2*b**2/11 + 6*b + 4. Find u such that y(u) = 0.
-2, 1/2
Factor -1/7*p**2 - p - 6/7.
-(p + 1)*(p + 6)/7
Let z = -210/19 + 1851/152. Determine h, given that 3/8*h**3 + z*h**2 + 3/4*h + 0 = 0.
-2, -1, 0
Let s be (-226)/(-3729) - 80/(-132). Solve 8/15 - 2/15*i**4 - s*i**3 + 2/15*i**2 + 16/15*i + 2/15*i**5 = 0 for i.
-1, 2
Let w(o) be the third derivative of o**7/168 + o**6/36 - o**5/6 - 5*o**4/3 + 4*o**3/3 + 4*o**2. Let z(i) be the first derivative of w(i). Factor z(n).
5*(n - 2)*(n + 2)**2
Let r = 128/395 + 6/79. Let -2/5*w**5 + r*w**4 + 6/5*w**3 + 4/5*w + 0 - 2*w**2 = 0. What is w?
-2, 0, 1
Let a(q) be the third derivative of 7/150*q**5 + 0*q + 1/12*q**4 + 0 - 9*q**2 - 2/15*q**3. Factor a(n).
2*(n + 1)*(7*n - 2)/5
Let t(x) be the second derivative of -3 - 1/14*x**4 - 2*x + 0*x**3 - 1/35*x**5 + 1/105*x**6 + 0*x**2. Determine i, given that t(i) = 0.
-1, 0, 3
Suppose 34*m - 27*m = 42. Let c(l) = -l**3 + 6*l**2 + 7*l - 42. Let n be c(m). Solve n - 3/5*i**2 + 3/5*i = 0 for i.
0, 1
Let w(t) be the first derivative of -2*t**7/21 - 2*t**6/3 - 7*t**5/5 - t**4 + 17*t + 8. Let r(s) be the first derivative of w(s). Factor r(b).
-4*b**2*(b + 1)**2*(b + 3)
Let y = 145 - 142. Let n be y*(-16)/228*-1. Let -2/19*s**2 - 2/19*s**3 + n*s + 0 = 0. What is s?
-2, 0, 1
Factor -897*m**2 - 92*m - 7*m**3 + 3*m**3 + 9