 10)**2*(x + 2)
Suppose 238/23*m**2 + 488/23 - 728/23*m + 2/23*m**3 = 0. Calculate m.
-122, 1, 2
Let v = -623917 - -623919. Factor -1/10*l**4 + 3/5*l**3 - 3/10 - 6/5*l**v + l.
-(l - 3)*(l - 1)**3/10
Let h be -5 + (-924)/(-162) - (-87)/(-2349). Suppose -13/6*i**2 - 1/2*i + 0 - h*i**3 = 0. What is i?
-3, -1/4, 0
Factor 982/3*v**2 + 2*v**3 + 40016/3*v - 13448/3.
2*(v + 82)**2*(3*v - 1)/3
Let s(c) be the second derivative of c**4/32 + 9*c**3/8 - 189*c**2/16 - 2218*c. Determine g so that s(g) = 0.
-21, 3
Suppose -9*z + 63 = 27. Factor -10*h - z + 5 - 5*h**2 + 14.
-5*(h - 1)*(h + 3)
Let n(i) = -i**2 - 18*i - 65. Let t be n(-10). Factor -6*s**3 - 24 + 27*s - 32*s**2 + 33*s + t*s**3 - 10*s**2.
3*(s - 2)**2*(3*s - 2)
Let c = -28 + 33. Suppose c*a + 2*z - 24 = a, -3*z + 8 = -a. Factor 0*s + 15*s**3 + 9*s**2 - 245*s**4 + 2*s + 3*s**5 + 256*s**a.
s*(s + 1)**3*(3*s + 2)
Let z(p) = 234 - p + p**2 - 118 - 117 - p**3. Let g(u) = 3*u**4 + 51*u**3 + 6*u**2 - 6*u - 6. Let s(f) = -g(f) + 6*z(f). Factor s(h).
-3*h**3*(h + 19)
Let h be 1*(0 - (6 + -23)). Find j such that 8*j - 20*j**2 + h*j**5 + 17*j**5 - 33*j**5 + 18*j**3 - 7*j**4 = 0.
0, 1, 2
Suppose 71*f - 34*f = 148. Suppose -2*w**5 - 10*w - 24*w**f + 94*w - 26 - 114*w**2 + 28*w**3 + 5*w**5 + 2 + 47*w**3 = 0. Calculate w.
1, 2
Let o be -6*(-14 - 103/(-8)). Suppose -15/8*k**2 + 3 + o*k = 0. What is k?
-2/5, 4
Let w be (144/2016)/((-6)/(-28)). Let -w*p**3 + 0 - p**2 + 0*p + 7/3*p**4 + 5/3*p**5 = 0. Calculate p.
-1, 0, 3/5
Let h(d) = 2*d**2 + 59*d - 2338. Let m be h(-52). Determine v, given that -64/7*v**m + 512/7*v + 0 + 2/7*v**3 = 0.
0, 16
Let y(c) be the third derivative of 3*c**5/40 + 131*c**4/4 - 175*c**3/4 - 1376*c**2. Factor y(v).
3*(v + 175)*(3*v - 1)/2
Let t(a) be the third derivative of -1/2*a**6 + 0 + 1/6*a**7 + 10/3*a**3 + 5/2*a**4 - 176*a - 2*a**2 - 11/12*a**5. Suppose t(w) = 0. What is w?
-1, -2/7, 1, 2
Let t be -6*(1 + 4/(-3)). Factor 9 + 21 + 10494*m - 2*m**t - 10490*m.
-2*(m - 5)*(m + 3)
Let f(y) = -5*y**3 - 3*y**2 - 6*y - 4. Let i be f(-1). Factor -14*u**5 + 12*u**5 - u**i + 13*u**4.
-2*u**4*(u - 6)
Let y(p) be the second derivative of p**5/8 - 70*p**4/3 + 3920*p**3/3 - 4176*p. Determine f so that y(f) = 0.
0, 56
Let c(a) = -3*a**2 + 4*a + 5. Let v be c(-1). Let t be (-7)/v + 1/2. What is z in 1/2 + z - 1/2*z**t + 0*z**2 - z**3 = 0?
-1, 1
Let i(s) be the third derivative of -3*s**5/70 - 85*s**4/84 + 16*s**3 - 10*s**2 + 446*s. Factor i(c).
-2*(c - 3)*(9*c + 112)/7
Let n(z) be the third derivative of -2*z**7/735 - z**6/70 + 16*z**5/105 - 2*z**4/7 + 124*z**2. Factor n(h).
-4*h*(h - 2)*(h - 1)*(h + 6)/7
Let a(i) = i**2 - 11*i - 74. Let r be a(16). Factor 39*f - 48 + 16*f**2 - 7*f**2 - 6*f**2 + r.
3*(f - 1)*(f + 14)
Let z(g) be the second derivative of 0*g**2 - 2*g + 6 - 3/40*g**5 + 0*g**4 + 1/4*g**3. Factor z(j).
-3*j*(j - 1)*(j + 1)/2
Suppose 0 = -4*t + 5*j - 69 + 117, -5*t - 2*j - 6 = 0. Find r such that 0 - 1/2*r**t + 1/2*r = 0.
0, 1
Let z(d) = -4*d**4 + 74*d**3 - 416*d**2 + 514*d. Let g(s) = -4*s**4 + 72*s**3 - 420*s**2 + 512*s. Let t(w) = 3*g(w) - 4*z(w). Suppose t(q) = 0. Calculate q.
0, 2, 5, 13
Let g(w) = -w**2 + 12*w - 27. Let x be g(6). Let j(q) = 2*q - 9. Let d be j(6). What is k in x*k**3 - 2*k - k**4 - k**4 - 4*k**5 + d*k**3 - 5*k**2 + k**4 = 0?
-2, -1/4, 0, 1
Suppose 34 + 14 = 16*p. Determine f so that -p*f - f - 16 - 5*f**3 + 3*f**3 - 7*f**2 + 17*f**2 = 0.
-1, 2, 4
Let z(q) be the third derivative of -q**5/60 + 77*q**4/6 - 102*q**3 + 3176*q**2. Find x, given that z(x) = 0.
2, 306
Let i be (-2)/(-144)*750/625. Let a(p) be the third derivative of -i*p**6 + 1/15*p**5 + 1/4*p**4 - 5*p**2 + 0*p**3 + 0*p + 0. Factor a(t).
-2*t*(t - 3)*(t + 1)
Let -3 + 2788*x**3 + x**4 + 2*x**2 + 2774*x**3 - 4*x - 5558*x**3 = 0. Calculate x.
-3, -1, 1
Let n(z) = 2*z**2 + 4*z + 2. Let w(v) = 1 + 7*v + 3*v - 9*v - 2*v. Suppose 5*f + 26 = 6. Let u(g) = f*w(g) + 2*n(g). Let u(r) = 0. What is r?
-3, 0
Let x(b) be the second derivative of -b**6/720 - b**5/48 + 3*b**4/4 + b**3/3 + 9*b**2 - 21*b - 2. Let k(o) be the second derivative of x(o). Factor k(t).
-(t - 4)*(t + 9)/2
Let 18*x**2 + 5/4*x**3 - 45/4*x + 0 = 0. What is x?
-15, 0, 3/5
Let v(q) be the second derivative of -1/6*q**4 + 0*q**3 - 1/21*q**7 - 3/10*q**5 + 0 - 98*q - 1/5*q**6 + 0*q**2. Factor v(f).
-2*f**2*(f + 1)**3
Suppose -44*r + 28*r**2 - 104*r**2 + 28*r**2 + 25*r**2 + 27*r**2 + 112 = 0. What is r?
4, 7
Let s = 13193 - 329912/25. Let d = s - -373/100. Factor 0*o + 0 + 1/8*o**3 + d*o**2.
o**2*(o + 2)/8
Suppose -2*h + 4*a = 1312, 8*a + 12 = 12*a. Let m = h + 650. Factor 0 + 2/5*x**4 + m*x**2 - 1/5*x + 3/5*x**3.
x*(x + 1)**2*(2*x - 1)/5
Let d(i) be the first derivative of -2*i**3/33 - 28*i**2/11 - 150*i/11 - 1203. Solve d(y) = 0 for y.
-25, -3
Let b = 172973/24 + -7207. Let l(h) be the second derivative of 5/2*h**2 - 5/12*h**3 + 0 - 2*h - b*h**4. Factor l(m).
-5*(m - 1)*(m + 2)/2
Factor 4/13 - 11858/13*w**3 + 23408/13*w**2 + 614/13*w.
-2*(w - 2)*(77*w + 1)**2/13
Let o(d) be the first derivative of -d**6/600 + 17*d**5/300 - 2*d**4/15 - 28*d**2 + 27. Let m(h) be the second derivative of o(h). Let m(y) = 0. Calculate y.
0, 1, 16
Let u(d) be the first derivative of -2*d**5/5 + 35*d**4 - 3650*d**3/3 + 21000*d**2 - 180000*d + 9797. Factor u(a).
-2*(a - 20)**2*(a - 15)**2
Suppose 5*n = -20, q + n = 4*q - 100. What is x in -x**2 + q*x + 32*x + 3 - 66*x = 0?
-3, 1
Let a(h) be the first derivative of h**4 - 8/3*h**6 - 25 + 0*h + 16/5*h**5 + 0*h**2 - 4/3*h**3. Find k such that a(k) = 0.
-1/2, 0, 1/2, 1
Let 12710/9*v + 14*v**3 + 856/3*v**2 - 3844/9 = 0. Calculate v.
-31/3, 2/7
Let n = 179/918 - 3/17. Let l = 457/1350 - n. Solve 2/25*q**4 - 8/25*q**3 - l*q + 12/25*q**2 + 2/25 = 0 for q.
1
Let z(p) be the first derivative of p**4/2 + 8*p**3/9 + 184*p + 89. Let n(h) be the first derivative of z(h). Factor n(k).
2*k*(9*k + 8)/3
Let q(u) be the first derivative of 146 - 28/9*u**3 + 221/6*u**2 - 338/3*u + 1/12*u**4. Factor q(z).
(z - 13)**2*(z - 2)/3
Let g(f) = -3*f**2 + 270*f + 264. Let b(j) = -2*j**2 + 134*j + 131. Suppose -232 = x - 241. Let l(q) = x*b(q) - 5*g(q). Factor l(r).
-3*(r + 1)*(r + 47)
Let k(z) be the first derivative of -8/5*z**2 + 2/15*z**3 - 156 + 0*z. Solve k(y) = 0.
0, 8
Let c be (2 - 3)*(-3 + -374 + 5). Let l = c - 4090/11. Factor l*z**3 + 0 + 0*z - 2/11*z**2 + 2/11*z**4 - 2/11*z**5.
-2*z**2*(z - 1)**2*(z + 1)/11
Let b(v) = 2*v**4 + 38*v**3 + 37*v**2 - 72*v. Let y(k) = -2*k**4 - 40*k**3 - 36*k**2 + 72*k. Let j(i) = -6*b(i) - 5*y(i). Factor j(h).
-2*h*(h - 1)*(h + 3)*(h + 12)
Let s = -8546/21 - -17155/42. Let 31944 - s*h**4 + 11616*h + 96*h**3 - 1980*h**2 = 0. What is h?
-2, 22
Find y, given that 47*y**5 + 32*y**5 + 260*y**2 + 109*y - 22*y**3 - 35*y**4 + 131*y + 2*y**3 - 74*y**5 = 0.
-2, -1, 0, 4, 6
Let s(f) be the first derivative of 23/9*f**3 + 5/3*f**2 - 8/3*f + 5/12*f**4 - 32. Suppose s(h) = 0. Calculate h.
-4, -1, 2/5
Let u be (-120)/(507/(-156) + 5/2). Let o be ((-10)/4 - -2)/((-40)/u). Factor -22/3*i - 92/9*i**o - 2/9*i**5 - 2*i**4 - 20/3*i**3 - 2.
-2*(i + 1)**3*(i + 3)**2/9
Factor 45 - 1/4*p**2 + 41/4*p.
-(p - 45)*(p + 4)/4
Let b(c) be the first derivative of 30*c**4 + 14 + 80/3*c**3 + 5/6*c**6 + 9*c**5 + 0*c + 0*c**2. Factor b(d).
5*d**2*(d + 1)*(d + 4)**2
Find k such that 0 + 33/4*k**3 + k**5 + 19/4*k**2 + 3/4*k + 21/4*k**4 = 0.
-3, -1, -1/4, 0
Let q(i) = -42*i**3 - 3369*i**2 - 3399*i + 9. Let g(b) = 33*b**3 + 2527*b**2 + 2550*b - 7. Let t(n) = 9*g(n) + 7*q(n). Let t(u) = 0. What is u?
-1, 0, 281
Solve -18*z - 1/4*z**2 + 225/4 = 0.
-75, 3
Find s such that 48/7*s**2 - 48*s - 384/7 + 12/7*s**4 - 3/7*s**5 + 96/7*s**3 = 0.
-2, 2, 8
Let w(u) be the second derivative of -4*u**6/3 - 839*u**5/10 - 2297*u**4/6 + 53*u**3 + 117*u**2 + 291*u + 1. Determine k, given that w(k) = 0.
-39, -3, -1/5, 1/4
Let n(l) = -14*l**3 + 124*l**2 + 110*l - 28. Let h(j) = -25*j**2 + 19*j**2 + 2*j + 7*j**2 + 1. Let m(g) = -8*h(g) + n(g). Factor m(f).
-2*(f - 9)*(f + 1)*(7*f - 2)
Suppose 3*f - 3 = 3*j, 5*f - 6*f - 3 = 0. Let t(m) = m**2 + 7*m + 10. Let p(a) = -a**2 - 7*a - 9. Let g(c) = j*p(c) - 3*t(c). Suppose g(l) = 0. Calculate l.
-6, -1
Let g = -34907/10 - -314183/90. Factor 0 + 10/9*i**2 - g*i**3 + 0*i.
-2*i**2*(i - 5)/9
Let y = -41/2836 - -11467/8508. Factor y*v + 