t 0 + 1/10*n**5 - 3/5*n - 11/10*n**2 + 3/10*n**4 - 3/10*n**3 = 0.
-3, -1, 0, 2
Let n(x) = -6*x**3 - 2 + 2*x + 0*x**3 + 3*x**3 - x**2. Let r(d) = -d**3 + d - 1. Let z(h) = -3*n(h) + 6*r(h). Factor z(m).
3*m**2*(m + 1)
Let u = 208 - 1870/9. Suppose -4*c = -47*s + 46*s + 11, c = -2. What is a in u*a - 4/9*a**2 + 0 + 2/9*a**s = 0?
0, 1
Let o be (-27 - -25)*1*-2*1. Factor -o + 12*v**2 - v**2 - 7*v**2.
4*(v - 1)*(v + 1)
Let i(d) be the second derivative of -1/48*d**3 - 1/32*d**4 - 1/240*d**6 + 0*d**2 + 0 + 26*d - 3/160*d**5. Factor i(s).
-s*(s + 1)**3/8
Let x(p) be the second derivative of p**6/240 - p**5/40 + p**4/16 + 11*p**3/6 - 11*p. Let r(q) be the second derivative of x(q). Factor r(t).
3*(t - 1)**2/2
Let p be (-4)/16 - (-28)/112. Factor 1/4*r**4 - r**3 + p*r + 0 + 3/4*r**2.
r**2*(r - 3)*(r - 1)/4
Let g = -1068/35 + 215/7. Determine t, given that -g*t**2 - 4/5 + t = 0.
1, 4
Let x(n) be the third derivative of 1/945*n**7 + 0*n**6 + 0*n**3 + 8*n**2 + 0*n + 1/54*n**4 - 1/90*n**5 + 0. Let x(i) = 0. What is i?
-2, 0, 1
Let l(q) = -9*q**3 + 117*q**2 + 550*q + 149. Let f(r) = -4*r**3 + 58*r**2 + 276*r + 75. Let u(h) = 5*f(h) - 3*l(h). Factor u(g).
(g - 12)*(g + 3)*(7*g + 2)
Let k(m) = 2*m**2 - m. Let l be (-6 + 8)/(1/(-2)). Let z(a) = 2*a**2 - 2*a. Let n(t) = l*k(t) + 3*z(t). Factor n(j).
-2*j*(j + 1)
Let w(j) = -j**2 + 25*j - 26. Let t be w(24). Let k(p) = p**3 - p**2 + p. Let d(q) = -24*q**3 + 28*q**2 - 22*q. Let z(h) = t*d(h) - 44*k(h). Factor z(x).
4*x**2*(x - 3)
Let j(c) be the second derivative of -25*c**4/12 - 37*c**3/9 + c**2/6 + 66*c + 2. Factor j(a).
-(a + 1)*(75*a - 1)/3
Find h, given that 199*h + 126*h - 205*h + 228 - h**2 + 4*h**2 = 0.
-38, -2
Let g(b) be the third derivative of 0*b**3 - 2/525*b**7 + 0 - 1/75*b**5 - 1/100*b**6 + 0*b - 1/1680*b**8 - 1/120*b**4 - 2*b**2. Factor g(n).
-n*(n + 1)**4/5
Let -1/8*o**4 + 9*o + 0 + 7/4*o**3 + 17/2*o**2 = 0. Calculate o.
-2, 0, 18
Let r(h) be the third derivative of h**5/160 + 9*h**4/16 + 35*h**3/16 - 367*h**2. Solve r(c) = 0 for c.
-35, -1
Let r = -15487/9 + 1721. Suppose 10/9*b**2 - r*b**3 - 16/9*b + 8/9 = 0. Calculate b.
1, 2
Let y(k) be the third derivative of -7*k**7/6 + 21*k**6/4 - 109*k**5/12 + 15*k**4/2 - 10*k**3/3 + 9*k**2. Factor y(q).
-5*(q - 1)**2*(7*q - 2)**2
Determine u so that 0*u**5 - 188*u**3 - 48 + 6*u**4 - 82*u + 22*u + 17*u**5 - 43*u**3 + 312*u**2 + 4*u**5 = 0.
-4, -2/7, 1, 2
Let r(j) = 2*j**5 + 2*j**4 + 5*j**3 - 2*j**2. Let g(x) = x**5 + x**4 + 2*x**3 - x**2. Suppose -5*u + 3 = 33. Let c(m) = u*r(m) + 14*g(m). Factor c(l).
2*l**2*(l - 1)*(l + 1)**2
Let g(t) be the second derivative of 3*t**5/20 + t**4/2 - 5*t**3/6 - 2*t**2 + 20*t. Let n(l) = -l**3 - l**2 + l + 1. Let w(y) = -g(y) - 4*n(y). Factor w(u).
u*(u - 1)**2
Let i(m) = -m**2 + 17*m - 62. Let j be i(12). Let h be j - (20/(-8) - 0). Factor 1/2*w**2 + h*w + 0.
w*(w + 1)/2
Factor -42 - 41 - 3*r**2 + 236 - 154 - 179 + 96*r.
-3*(r - 30)*(r - 2)
Let f = 273 + -269. Let y(s) be the first derivative of 0*s + 0*s**2 + 1/3*s**3 + 2 - 1/8*s**f. Determine o, given that y(o) = 0.
0, 2
Let n be (8/(-40))/((-1)/15). Find j, given that -59*j**3 + 33*j**3 - n*j**4 + 29*j**3 + 3*j**2 - 3*j**5 = 0.
-1, 0, 1
Let j(m) be the third derivative of -m**8/252 + 31*m**7/630 + 11*m**6/30 + 119*m**5/180 + 11*m**4/36 - 592*m**2. Suppose j(s) = 0. What is s?
-2, -1, -1/4, 0, 11
Factor -12/7 + 38/7*q + 18/7*q**3 - 2/7*q**4 - 6*q**2.
-2*(q - 6)*(q - 1)**3/7
Let y(d) be the second derivative of -d**7/140 + d**6/80 + 15*d**2 + 5*d. Let p(f) be the first derivative of y(f). Factor p(l).
-3*l**3*(l - 1)/2
Let d be (1/(-12))/(((-570)/304)/(12/2)). Factor 0 + 0*b + 6/5*b**3 + d*b**2.
2*b**2*(9*b + 2)/15
Let t be (12/(-10))/(70/(-175)). Let n(l) be the second derivative of 2*l + 1/24*l**4 + 0 + 9/4*l**2 + 1/2*l**t. Factor n(h).
(h + 3)**2/2
Let t = -3628/3 + 1318. Factor 722/3*c**2 - t*c**3 + 46/3*c**4 - 2/3*c**5 - 640/3*c + 200/3.
-2*(c - 10)**2*(c - 1)**3/3
Let z be (-18)/8 + -12 + (-2842)/(-168). Factor -z*c**2 + 2*c + 2/3.
-2*(c - 1)*(4*c + 1)/3
Let -128625/2 - 11025/2*t - 3/2*t**3 - 315/2*t**2 = 0. What is t?
-35
Let p(m) = -2*m**4 - 4*m**3 - 2*m**2. Let l be 1/(1/(-1 - 12)). Let z(o) = o**4 + 2*o**3 + o**2. Let a(t) = l*z(t) - 6*p(t). Solve a(i) = 0.
-1, 0
Factor 28/3 - 2/9*n**2 + 38/9*n.
-2*(n - 21)*(n + 2)/9
Let y(l) be the third derivative of 0*l**4 - 1/945*l**7 + 0*l**3 + 0*l - 1/270*l**5 + 31*l**2 + 0 + 1/270*l**6. Suppose y(o) = 0. Calculate o.
0, 1
Let q(a) be the second derivative of -4*a**7/231 - 16*a**6/55 - 11*a**5/10 - 41*a**4/22 - 5*a**3/3 - 9*a**2/11 + a - 90. What is t in q(t) = 0?
-9, -1, -1/2
Let l(c) = -c**2 + 29*c - 172. Let s(m) = 2*m**2 - 57*m + 343. Let j(f) = 5*l(f) + 3*s(f). Factor j(p).
(p - 13)**2
Let j(b) be the first derivative of -b**8/420 - b**7/210 + b**6/90 + b**5/30 - 8*b**3/3 - 1. Let u(l) be the third derivative of j(l). What is f in u(f) = 0?
-1, 0, 1
Let k(j) = -7*j**4 - 3*j**3 + 17*j**2 - 8*j - 1. Let p(b) = -4*b**4 - 2*b**3 + 9*b**2 - 4*b + 1. Let l(r) = -3*k(r) + 5*p(r). Factor l(a).
(a - 2)**2*(a + 1)*(a + 2)
Let h(k) = -k**3 - 12*k**2 + k + 14. Suppose 80 = -5*l - 5*t, -5*l - 9 = 2*t + 59. Let f be h(l). Let -1/3*m - m**f + 0 = 0. What is m?
-1/3, 0
Let u(a) be the first derivative of -5 + 0*a**2 + 1/6*a**4 + 0*a - 1/60*a**5 - 1/180*a**6 - 1/3*a**3. Let b(r) be the third derivative of u(r). Factor b(l).
-2*(l - 1)*(l + 2)
Let p = -38 + 56. Let x be 20/90 - (-32)/p. What is o in 6*o**x - 4*o - 5*o**3 + o**2 + 5*o**2 - 4*o**2 + o**4 = 0?
0, 1, 2
Let i = 1935/4 + -36749/76. Factor 10/19*b**3 + i*b**2 - 10/19*b - 4/19.
2*(b - 1)*(b + 1)*(5*b + 2)/19
Let c(x) be the third derivative of -1/28*x**4 + 0*x - 23*x**2 + 0 + 1/140*x**5 + 0*x**3. Find g, given that c(g) = 0.
0, 2
Let m(u) be the third derivative of -u**7/630 - u**6/72 - u**5/45 + 184*u**2. What is n in m(n) = 0?
-4, -1, 0
Let g(x) be the first derivative of 3*x**2 - 5 + 0*x**3 + 0*x**4 + 0*x - 1/240*x**5. Let w(u) be the second derivative of g(u). Factor w(v).
-v**2/4
Find r, given that -46 - 7/2*r**2 - 165/2*r = 0.
-23, -4/7
Let k(l) be the first derivative of -l**4/84 - 2*l**3/21 - 2*l**2/7 + 20*l - 16. Let t(g) be the first derivative of k(g). Determine x so that t(x) = 0.
-2
Let f(v) be the first derivative of 32*v**4 - 224*v**3/3 + 57*v**2 - 18*v + 40. Factor f(x).
2*(x - 1)*(8*x - 3)**2
Let l = -222/11 + 677/33. Determine d so that -2/3*d + 1 - l*d**2 = 0.
-3, 1
Let i be (-1*0/(-1))/(0 - 1). Let o = 50/3 - 16. Solve -1/3*w**2 + i + 1/3*w**4 + o*w**3 - 2/3*w = 0.
-2, -1, 0, 1
Let 87/4*o**3 - 63/2*o - 3/4*o**2 + 3/4*o**5 - 33/4*o**4 + 0 = 0. What is o?
-1, 0, 2, 3, 7
Let s(p) be the first derivative of -p**7/210 - p**6/60 + p**5/20 + 11*p**2/2 - 3. Let d(l) be the second derivative of s(l). Factor d(m).
-m**2*(m - 1)*(m + 3)
Let a(h) be the first derivative of 14*h**6/5 + 753*h**5/25 + 639*h**4/20 - 26*h**3/5 - 24*h**2/5 + 289. Solve a(f) = 0.
-8, -1, -1/4, 0, 2/7
Let b = -11 - -14. Solve 20*d**4 - 18*d**4 - 2*d**5 + 4 - 4 + 2*d**b - 2*d**2 = 0 for d.
-1, 0, 1
Find r such that -16*r**2 - 2128*r + 2118*r + 5*r**4 + r**2 = 0.
-1, 0, 2
Suppose y = -3*y - 2*s + 470, 0 = 4*s - 20. Let p = y - 341/3. Suppose -4/3*i + 0*i**2 + p*i**3 - 2/3 + 2/3*i**4 = 0. Calculate i.
-1, 1
Let s = 17546/5 + -3430. Solve -88/5*u + 314/5*u**2 + 162/5*u**4 + 8/5 - s*u**3 = 0 for u.
2/9, 1
Let s(i) be the second derivative of -i**7/273 - 28*i**6/195 - 51*i**5/65 - 74*i**4/39 - 97*i**3/39 - 24*i**2/13 + 6*i + 5. Suppose s(r) = 0. What is r?
-24, -1
Let a(b) be the second derivative of 2*b + 27/19*b**2 - 10 - 1/190*b**5 - 9/19*b**3 + 3/38*b**4. Factor a(i).
-2*(i - 3)**3/19
Find z, given that 290/9*z**2 - 14/3 + 154/9*z**3 + 86/9*z - 8/9*z**4 = 0.
-1, 1/4, 21
Let x be 12/18 + (-1)/(-3) - -2. Suppose -d + 14 = 4*d + 3*c, c = x*d - 14. Factor -2/3*g**3 - 10/9*g - 4/3*g**2 - 1/9*g**d - 1/3.
-(g + 1)**3*(g + 3)/9
Suppose 5*m - m - 12 = 0. Factor 24*l**3 + 19*l - m*l**5 + 36 - l**5 - 12*l**4 + 104*l**2 + 15*l + 74*l.
-4*(l - 3)*(l + 1)**3*(l + 3)
Determine c, given that 2/5 + 2/5*c - 2/5*c**3 - 2/5*c**2 = 0.
-1, 1
Let w(r) be the second derivative of r**10/30240 + r**9/7560 - r**8/6720 - r**7/1260 + r**4/6 - 6*r. Let c(i) be the third derivative of w(i). Factor c(f).
f**2*(f - 1)*(f 