 4*r = 74 - 38. Let g be j(r). Factor 2/3*u + 0 + 2*u**g + 2*u**2 + 2/3*u**4.
2*u*(u + 1)**3/3
Let -82/5*i**3 + 8/5 - 6*i**4 - 6/5*i - 66/5*i**2 = 0. Calculate i.
-1, 4/15
Let w(f) be the third derivative of f**8/48 - 23*f**7/210 - f**6/120 + 23*f**5/60 - f**4/4 - 122*f**2 + 1. Find y such that w(y) = 0.
-1, 0, 2/7, 1, 3
Factor 3*q - 3*q**2 + 4*q - 8*q + 10*q.
-3*q*(q - 3)
Let d(q) be the first derivative of q**4/10 - 4*q**3/15 + q**2/5 - 23. What is p in d(p) = 0?
0, 1
Let p(u) be the first derivative of 1/16*u**4 - 9 - 1/24*u**3 + 0*u + 1/40*u**5 - 1/8*u**2. Factor p(m).
m*(m - 1)*(m + 1)*(m + 2)/8
Factor -10/9*n**3 - 8/9*n + 16/9*n**2 + 2/9*n**4 + 0.
2*n*(n - 2)**2*(n - 1)/9
Let m(p) = -52*p**3 + 708*p**2 - 1196*p + 540. Let s(j) = 8*j**3 - 109*j**2 + 184*j - 83. Let u(v) = -5*m(v) - 32*s(v). Factor u(l).
4*(l - 11)*(l - 1)**2
Let i be (4 - 88/40)*3*1. Let p = 13/37 - -934/185. What is h in -p*h**2 - 3/5*h + 3/5 + i*h**3 = 0?
-1/3, 1/3, 1
Let o(x) = x**3 + 41*x**2 + 418*x - 40. Let t be o(-20). Factor 2/3*b**2 + t - 2/3*b**4 - 4/3*b + 4/3*b**3.
-2*b*(b - 2)*(b - 1)*(b + 1)/3
Suppose -2*q**4 + 7/3*q**3 + 0*q - 1/3*q**5 + 0*q**2 + 0 = 0. Calculate q.
-7, 0, 1
Let t(u) = u**3 + 23*u**2 + 174*u + 4754. Let z be t(-24). Suppose 0*n + 0 + 1/5*n**z = 0. What is n?
0
Suppose 2*r + 5*r = 7. Let w be (r/3)/((-20)/(-120)). What is z in -3/4*z**w + 6*z - 12 = 0?
4
Let j(s) be the second derivative of 4/45*s**5 - 16/9*s**2 - 4/9*s**4 + 32/27*s**3 - 15*s + 0 - 1/135*s**6. Factor j(i).
-2*(i - 2)**4/9
Let n(r) be the second derivative of -r**6/20 + 3*r**5/80 + 3*r**4/16 - 37*r - 2. Suppose n(w) = 0. Calculate w.
-1, 0, 3/2
Let v(q) be the third derivative of q**5/15 - q**4/3 - 2*q**3 + 16*q**2 + 2. Suppose v(k) = 0. What is k?
-1, 3
Let z(l) be the third derivative of -l**6/1080 - l**5/180 - l**4/72 - l**3/2 - 13*l**2. Let k(j) be the first derivative of z(j). Factor k(m).
-(m + 1)**2/3
Let w be -4 + 64/8 + -4. Let s(b) be the second derivative of 1/15*b**3 + 2*b + 0 + 0*b**2 + w*b**4 - 1/50*b**5. Factor s(t).
-2*t*(t - 1)*(t + 1)/5
Let m(a) be the third derivative of a**6/600 - 4*a**5/75 - 7*a**4/24 - 3*a**3/5 + 9*a**2 - 2. Suppose m(z) = 0. Calculate z.
-1, 18
Let h(p) be the first derivative of -2*p**5/55 + p**4/11 + 2*p**3/11 - 4*p**2/11 - 8*p/11 - 6. Find z such that h(z) = 0.
-1, 2
Let g(c) be the second derivative of c**4/54 - 17*c**3/27 - 77*c. Determine x so that g(x) = 0.
0, 17
Let h(f) be the first derivative of -2/21*f**3 - 24/7*f**2 - 288/7*f - 17. Factor h(i).
-2*(i + 12)**2/7
Let u(t) be the second derivative of 2*t**7/63 - 2*t**6/15 - 3*t**5/5 - 5*t**4/9 + 12*t - 12. Factor u(v).
4*v**2*(v - 5)*(v + 1)**2/3
Let m be -3 + (-2 - -4) + 9. Suppose -33*b**2 + b**2 + 8*b**2 + 12*b**2 + 4*b**3 + m*b = 0. Calculate b.
0, 1, 2
Let u(n) = 7*n**2 - 61*n + 37. Let z(j) = 10*j**2 - 92*j + 56. Let k(l) = -8*u(l) + 5*z(l). Find y, given that k(y) = 0.
2/3, 4
Let 12*n - 50*n**2 + 55*n**2 + 10 - 133 - 207 - 337*n = 0. Calculate n.
-1, 66
Let s(r) be the third derivative of r**7/105 - 17*r**6/240 + r**5/30 - 3*r**2 - 14*r. Factor s(t).
t**2*(t - 4)*(4*t - 1)/2
Let m(u) be the second derivative of u**5/100 + 119*u**4/10 + 28322*u**3/5 + 6740636*u**2/5 - 123*u + 1. Determine l, given that m(l) = 0.
-238
Let b(d) = -2*d**2 - d + 1. Let m(i) = -102*i**2 + 18*i + 8. Let h(r) = 6*b(r) - m(r). Factor h(q).
2*(3*q - 1)*(15*q + 1)
Let k(t) be the third derivative of -t**6/720 + 7*t**5/240 - t**4/4 + 9*t**3 + t**2 - 27. Let a(p) be the first derivative of k(p). What is m in a(m) = 0?
3, 4
Suppose 0 = -58*s + 57*s. Let a(b) be the second derivative of 3*b + s + 1/72*b**4 + 0*b**3 + 0*b**2 + 1/120*b**5. Suppose a(m) = 0. What is m?
-1, 0
Suppose t - 3 = -1. Suppose 26 - x**t - 26 + 3*x = 0. Calculate x.
0, 3
Factor 0 + 20/3*t**2 - 5/2*t + 5/3*t**4 - 35/6*t**3.
5*t*(t - 1)**2*(2*t - 3)/6
Find x, given that -50*x**5 + 36*x**3 - 8*x**2 - 48*x - 6*x**4 + 15*x**5 + 6*x**5 + 27*x**5 = 0.
-6, -1, 0, 2
Let l be (5 + -7)*(-42)/(-4). Let m = 21 + l. Let -43 + 43 - 3*t**2 + m*t**2 = 0. What is t?
0
Let o = -3 - -16. Suppose 5*c**4 + 8*c**2 - 3*c - c - o*c**4 + 4*c**5 = 0. Calculate c.
-1, 0, 1
Let o(b) be the third derivative of 0*b + 1/900*b**6 - 2/45*b**3 + 0 - 9*b**2 - 1/525*b**7 - 1/180*b**4 + 1/90*b**5. Find p, given that o(p) = 0.
-1, -2/3, 1
Suppose -2*k - 4*o + 14 = 0, 4*k - o - 2*o = 6. Let t(m) = -m**2 + k + 4 + 4 - 2. Let x(n) = -n**2 + 10. Let u(y) = 6*t(y) - 5*x(y). Factor u(l).
-(l - 2)*(l + 2)
Let d(i) be the third derivative of 9*i**8/112 + 3*i**7/7 + i**6/40 - 7*i**5/5 - 3*i**4/2 + 4*i**2 - 5*i. Find g, given that d(g) = 0.
-3, -2/3, 0, 1
Let -226 + 102 - 3*j + 112 + 4*j + j**2 = 0. What is j?
-4, 3
Let g(c) = 2*c**5 - 5*c**4 - 2*c**3 - c**2. Suppose 35 = k + 11. Suppose 4*p + 0*p = -k. Let h(m) = m**3. Let t(i) = p*h(i) - g(i). Factor t(d).
-d**2*(d - 1)**2*(2*d - 1)
Let k = 240 + -235. Let m be (65/15 - k) + 4/3. Determine p so that 2*p**2 + m - 2*p - 2/3*p**3 = 0.
1
Let h be (-6)/9 + 7 + (-99)/(-27). Let w = 2 + 0. Find i such that -14*i - 3 + 0 - w*i**3 + 2 - h*i**2 - 5 = 0.
-3, -1
Suppose 127 - 157 = -10*g. Let u(j) be the second derivative of -3/20*j**5 + 1/30*j**6 + 1/6*j**4 + 2*j + 0 + 0*j**2 + 0*j**g. Factor u(k).
k**2*(k - 2)*(k - 1)
Let r(l) be the first derivative of -l**6/144 + l**5/24 - 5*l**4/48 + 7*l**3/3 + 14. Let m(o) be the third derivative of r(o). Factor m(v).
-5*(v - 1)**2/2
Factor -28*b**2 - 11*b**3 - 440*b**4 + 12*b + 436*b**4 + 31*b**3.
-4*b*(b - 3)*(b - 1)**2
Let l(z) be the third derivative of -z**7/210 + z**6/120 + z**5/60 - z**4/24 - 11*z**2 - 1. Solve l(y) = 0.
-1, 0, 1
Let j be 6/720*(33/6 + -3). Let g(k) be the third derivative of -1/160*k**6 + j*k**4 - k**2 + 1/240*k**5 + 0*k + 0 + 0*k**3. Factor g(r).
-r*(r - 1)*(3*r + 2)/4
Let m(r) = -3*r**3 - 81*r**2 + 29. Let z be m(-27). Let b = 31 - z. Factor -2/3 - 2/3*h**b + 4/3*h.
-2*(h - 1)**2/3
Suppose -10 = -5*s + 15. Suppose 3*h - 85 = s*q, -3*h = q - 2*q - 65. Factor -4*x**3 - 2 - 16*x**2 - 6 - h*x + 0*x**3.
-4*(x + 1)**2*(x + 2)
Let c be (-3)/2 - 174/(-72). Let g = 5/4 - c. Solve -y**2 - y - 1/3 - g*y**3 = 0.
-1
Let j be (9/(-42))/(16 - 1243/77). Factor j - 3/8*d**3 + 15/8*d**2 - 3*d.
-3*(d - 2)**2*(d - 1)/8
Let t(u) be the first derivative of -u**8/3920 + 3*u**7/1960 - u**6/280 + u**5/280 + 25*u**3/3 + 36. Let h(x) be the third derivative of t(x). Factor h(i).
-3*i*(i - 1)**3/7
Factor 6*d**5 + 0 + 0*d + 32/3*d**4 - 8/3*d**3 + 0*d**2.
2*d**3*(d + 2)*(9*d - 2)/3
Let p = -1 - -5. Factor -9*x**4 + 24*x**p - 14*x**4.
x**4
Let d(w) = 1. Let a(x) = x + 2. Let v = 21 - 20. Let z(f) = v*a(f) - 2*d(f). Let l(b) = -4*b**2 + 2*b. Let n(g) = -l(g) - 6*z(g). Find h such that n(h) = 0.
0, 2
Let x(r) be the third derivative of -r**7/70 + r**6/40 + r**5/20 - r**4/8 + 241*r**2. Let x(m) = 0. What is m?
-1, 0, 1
Let p = -2239/5 + 448. Let 0*b - 1/5*b**2 - 1/5*b**5 + 0 + p*b**3 + 1/5*b**4 = 0. Calculate b.
-1, 0, 1
Let q(u) be the first derivative of -2*u**3/15 - 34*u**2/5 - 578*u/5 - 16. Factor q(f).
-2*(f + 17)**2/5
Factor 3/2*j**3 + 3*j + 0 + 3/4*j**4 - 21/4*j**2.
3*j*(j - 1)**2*(j + 4)/4
Let s(k) be the second derivative of -2/9*k**2 - 1/9*k**3 - 1/54*k**4 + k + 0. Factor s(z).
-2*(z + 1)*(z + 2)/9
Suppose 2*t - 27 = 53. Let s = 29 + -19. Factor 24*u**4 + s*u**3 + 5*u**5 + 12*u - u**5 + t*u**2 + 0*u**5 + 38*u**3.
4*u*(u + 1)**3*(u + 3)
Let t be 3/(12/16) - 0. What is z in 20*z**3 - 2*z**t - 17*z**3 - z**4 + 6*z**4 = 0?
-1, 0
Let a(y) = y**2 - 6*y + 9. Let g be a(5). Suppose -g = -2*k + 6. Factor 31*q + 5 - k*q**2 - 31*q.
-5*(q - 1)*(q + 1)
Let t(l) be the third derivative of -l**7/525 + l**6/5 - 39*l**5/50 + 29*l**4/30 - 401*l**2. Factor t(o).
-2*o*(o - 58)*(o - 1)**2/5
Let p = 108 + -86. Let r(z) = z**2 - z + 7. Let j(w) = w - 6. Let t(l) = -7*j(l) - 6*r(l). Let x(a) = -a**2. Let f(g) = p*x(g) - 4*t(g). Factor f(m).
2*m*(m + 2)
Let t = -117 - -171. Let h = 57 - t. Let -1/3*w**2 + 2/3*w - 1/3*w**h + 0 = 0. What is w?
-2, 0, 1
Let j(g) be the second derivative of 4/3*g**3 + 4*g**2 + 0 + 1/6*g**4 - 23*g. Factor j(x).
2*(x + 2)**2
Find b, given that 4/3*b**4 + 0*b**2 + 2*b**3 + 0*b + 2/9*b**5 + 0 = 0.
-3, 0
Suppose 4*l + 2*h = 212, -66 - 95 = -3*l - 2*h. Let i = -14 + l. Let -10*y**3 + 17*y**2 -