14*o**3 + o + o = 0.
-2/7, 0, 1
Let z(d) be the first derivative of 1/720*d**6 + 4*d**2 - 1/36*d**3 + 0*d + 1/48*d**4 - 1/120*d**5 - 5. Let t(b) be the second derivative of z(b). Factor t(x).
(x - 1)**3/6
Let b be ((-16)/(-38))/(4 + (-28)/6). Let l = 74/57 + b. Factor 0 + l*x + 1/3*x**2.
x*(x + 2)/3
Factor -h**3 - 4*h**2 + h**4 + 1629*h - 3260*h + 1635*h.
h*(h - 2)*(h - 1)*(h + 2)
Let m(z) = -52*z + 419. Let j be m(8). Let y(v) be the second derivative of -1/50*v**5 - 1/30*v**4 + 4/5*v**2 + 0 - 5*v + 4/15*v**j. Factor y(i).
-2*(i - 2)*(i + 1)*(i + 2)/5
Suppose 2*w = -2*s, -2 = 2*s - s. Let t(y) = y**2 + 4*y + 4. Let m be t(-3). Solve -3*l - 4*l**3 - 6*l**3 - 3*l**w + 9*l**3 - m = 0 for l.
-1
Let g = 3590/57 - 1070/19. Factor 0 + g*x**2 - 4/3*x**3 - 8*x.
-4*x*(x - 3)*(x - 2)/3
Factor 60*t + 4410*t**2 + 3*t + 183*t + 5043 - 4407*t**2.
3*(t + 41)**2
Suppose -2*s + 21*s - 76 = 0. Let m(k) be the first derivative of 2/3*k + 2/3*k**3 + 1/6*k**s + 1 + k**2. Solve m(c) = 0.
-1
Let c(o) = o**3 + 5*o**2. Let b be c(-4). Find k such that -b*k + 7*k - 3*k**3 + 0*k**3 + 9*k**2 + 3 = 0.
1
Let m(r) be the second derivative of -3*r**6/80 - 7*r**5/15 - 31*r**4/16 - 3*r**3/2 + 3*r**2 - 2*r. Let q(v) be the first derivative of m(v). Factor q(x).
-(x + 3)**2*(9*x + 2)/2
Let a(o) be the third derivative of 1/12*o**5 + 0 - 5/8*o**4 - o**2 + 0*o - 10/3*o**3. Determine n, given that a(n) = 0.
-1, 4
Solve 1/4*a**2 - 44*a + 1936 = 0 for a.
88
Let m(j) = j**4 + 2*j**2 + j. Let x(y) = 5*y**4 + 20*y**3 - 10*y**2 + 30*y - 5. Let f(k) = -10*m(k) + x(k). Factor f(g).
-5*(g - 1)**4
Let t(f) = -10*f - 39. Let i be t(-6). Let a = i - 19. Factor 0*j**3 + 0*j**a + 0*j - 1/4*j**4 + 0.
-j**4/4
Let v(a) be the third derivative of a**5/10 + 11*a**4/6 + 7*a**3/3 - a**2 + 5. Factor v(f).
2*(f + 7)*(3*f + 1)
Factor 7*r**3 - 48*r + 83*r**2 - 7*r**3 - 3*r**4 - 47*r**2 + 0*r**3.
-3*r*(r - 2)**2*(r + 4)
Let j(x) be the second derivative of -1/60*x**5 + 0 + 11/36*x**4 - 6*x**2 - 4/3*x**3 + 20*x. Find r, given that j(r) = 0.
-1, 6
Let a(m) be the third derivative of 2*m**7/189 - 7*m**6/180 + m**5/27 + m**4/36 - 2*m**3/27 + 2*m**2 - 9*m. Solve a(y) = 0 for y.
-2/5, 1/2, 1
Let d(s) be the first derivative of 40*s**3/3 + 122*s**2 + 24*s - 237. What is b in d(b) = 0?
-6, -1/10
Let w(c) = 2*c**2 + c - 2. Let f be w(3). Let z = f + -7. Factor 4*v**3 - z*v**3 + 5*v**3.
-3*v**3
Let x(k) be the second derivative of -2/33*k**3 - 1/165*k**6 - 3*k + 0 - 5/66*k**4 - 2/55*k**5 + 0*k**2. Factor x(l).
-2*l*(l + 1)**2*(l + 2)/11
Let x(i) be the second derivative of 3*i**5/100 - 9*i**4/20 + 12*i**3/5 - 24*i**2/5 + 2*i - 67. Factor x(c).
3*(c - 4)**2*(c - 1)/5
Let k(c) be the first derivative of -c**6/40 + 3*c**5/16 - 3*c**4/8 - c**3/2 + 3*c**2 + 2*c + 2. Let p(b) be the first derivative of k(b). Factor p(l).
-3*(l - 2)**3*(l + 1)/4
Let i = -57611/3 - -19213. Determine r, given that 55/3*r**2 + 4 + i*r**3 + 44/3*r + 5/3*r**4 = 0.
-2, -1, -3/5
Let m = -4/63 - -25/63. Solve m*x + 0 - 1/3*x**2 = 0 for x.
0, 1
Factor -48/5 + 20*f + 4/5*f**3 - 56/5*f**2.
4*(f - 12)*(f - 1)**2/5
Factor 0 + 1/9*r**4 - 4/9*r - 2/3*r**3 + r**2.
r*(r - 4)*(r - 1)**2/9
Let s(h) be the third derivative of -h**5/60 - 7*h**4/24 + 5*h**3 + 8*h**2 - 12*h. Factor s(k).
-(k - 3)*(k + 10)
Let y(a) = 19*a - 188. Let d be y(10). Solve 2/3 - 4/3*g + 2/3*g**d = 0 for g.
1
Determine l, given that 10*l**3 - 10*l**4 - 942*l**5 + 2 + 8 + 35*l - 7*l + 40*l**2 + 937*l**5 + 7*l = 0.
-1, 2
Suppose -s + 276 = -10*s + 78*s. Factor -26/3*a**3 + 10*a**s - 80/3*a**2 + 0 - 3/2*a**5 - 32/3*a.
-a*(a - 4)**2*(3*a + 2)**2/6
Solve -14*k**3 + 6*k**3 - 20*k**4 + 90*k**5 - 10*k**2 - 95*k**5 - 17*k**3 = 0.
-2, -1, 0
Let g(w) = w**2 - 36*w + 301. Let s be g(23). Let d(f) be the first derivative of 3/2*f + 0*f**s - 1/2*f**3 + 11. Find k such that d(k) = 0.
-1, 1
Suppose 3*f = 3*l, 0 = 4*f - 3*f + l - 8. Suppose 3*k + f*r - 8 = -0, 0 = -2*r + 4. Let 2/7*w - 2/7*w**2 + k = 0. Calculate w.
0, 1
Let f be -75*(184/(-30) - -6). Let d(v) be the second derivative of 8*v**4 + v**2 - 4*v**3 - f*v + 0 - 32/5*v**5. Solve d(y) = 0 for y.
1/4
Let f(g) be the first derivative of -3*g**4/16 + 12*g**3 - 216*g**2 - 67. Let f(r) = 0. What is r?
0, 24
Let n(v) be the third derivative of v**6/540 - 131*v**5/45 + 17161*v**4/9 - 17984728*v**3/27 - 39*v**2 + 2. What is i in n(i) = 0?
262
Let o(c) = 3*c**2 + 4*c. Let j(i) be the third derivative of -7*i**5/60 - 3*i**4/8 - 2*i**2 + 18. Let u(l) = -2*j(l) - 5*o(l). Factor u(r).
-r*(r + 2)
Let k(q) be the first derivative of 2*q**3/3 - 20*q**2 + 200*q + 31. Factor k(r).
2*(r - 10)**2
Let d(n) be the second derivative of -n**5/80 + 3*n**4/16 - 23*n**3/24 + 15*n**2/8 + 181*n. Factor d(z).
-(z - 5)*(z - 3)*(z - 1)/4
Let i(y) be the third derivative of y**5/270 - 41*y**4/54 + 1681*y**3/27 + y**2 + 31*y. Factor i(j).
2*(j - 41)**2/9
Let v = 1598/3 + -11162/21. Determine n, given that 8/7*n + v*n**2 - 6/7*n**3 - 8/7*n**4 + 0 - 2/7*n**5 = 0.
-2, -1, 0, 1
Let z(a) = -1 - 20*a**3 + 15*a**4 + a - 16*a**4 + 19*a**3. Let m(t) = -8*t**4 + 12*t**3 - 8*t**2 - 12*t + 8. Let k(h) = m(h) - 4*z(h). Factor k(w).
-4*(w - 3)*(w - 1)**2*(w + 1)
Suppose 55 = -4*u + 15*u. Solve 3*t + u + 2 - 3*t**2 + 0*t**2 - 1 = 0 for t.
-1, 2
Let u = 19294 - 135054/7. Solve u*y**3 - 10/7*y**2 - 2/7 + 8/7*y = 0 for y.
1/2, 1
Suppose 104/5*u - 2/5*u**3 + 0 + 18/5*u**2 = 0. What is u?
-4, 0, 13
Suppose 4*s = 1926 - 326. Factor 57*p + 4*p**4 - 297*p - 44*p**2 + 25*p**3 + s - 15*p**3 + 14*p**3.
4*(p - 2)**2*(p + 5)**2
Find g, given that 3*g**2 - 4 + 19 + 6 + 638*g - 614*g = 0.
-7, -1
Let g(z) be the second derivative of z**7/1260 + z**6/144 + 7*z**5/360 + z**4/48 - 4*z**2 - z. Let q(n) be the first derivative of g(n). Factor q(t).
t*(t + 1)**2*(t + 3)/6
Let k(o) be the third derivative of -o**8/1344 + 61*o**7/840 - 119*o**6/480 + 59*o**5/240 - 705*o**2. Solve k(v) = 0.
0, 1, 59
Let f(p) be the second derivative of -p**7/4410 + 2*p**6/315 - p**5/30 - p**4/3 - p**3 + 2*p - 1. Let o(k) be the third derivative of f(k). Factor o(d).
-4*(d - 7)*(d - 1)/7
Factor 0*x - 10/9*x**3 + 0 - 4/9*x**2.
-2*x**2*(5*x + 2)/9
Suppose 5*n + 0*n = 0. Let r = 3 - n. Find m, given that m**2 - r*m - 2 + 6*m + 4 = 0.
-2, -1
Let s(i) be the second derivative of -i**6/65 - i**5/26 - i**4/39 - 14*i + 34. Factor s(h).
-2*h**2*(h + 1)*(3*h + 2)/13
Let x(f) be the first derivative of 4*f**3/3 - 14*f**2 + 24*f + 106. Factor x(r).
4*(r - 6)*(r - 1)
Let u = 30 - 21. Let q be 2*u/6 + 0. Determine w, given that -w**5 - 3*w**4 + 4*w**4 + 4*w**5 - 4*w**q + 2*w**3 = 0.
-1, 0, 2/3
Suppose -60 = 2*i + 4. Let t = i + 161/5. Find a such that 0 + 2/5*a + t*a**2 - 1/5*a**3 = 0.
-1, 0, 2
Let j(q) be the first derivative of 3*q**5/5 + 9*q**4/4 - 6*q**2 - 60. Solve j(l) = 0.
-2, 0, 1
Let q be (-15834)/7540*(-15)/7. Suppose 11/2 + q*j**2 + 1/2*j**3 - 21/2*j = 0. What is j?
-11, 1
Let s(g) be the second derivative of g**5/20 - 7*g**4/3 + 53*g**3/6 - 13*g**2 + 15*g - 2. Let s(v) = 0. What is v?
1, 26
Factor -2/13*o**3 + 28/13*o**2 - 4 - 22/13*o.
-2*(o - 13)*(o - 2)*(o + 1)/13
Let d(j) be the first derivative of 3/2*j**3 + 3/2*j**4 + 0*j + 1/8*j**6 + 22 - 27/8*j**2 - 9/10*j**5. Solve d(p) = 0 for p.
-1, 0, 1, 3
Let v(k) be the second derivative of -2*k**7/21 + 4*k**6/3 + 12*k**5/5 - 10*k**4/3 - 22*k**3/3 + 86*k. Suppose v(p) = 0. Calculate p.
-1, 0, 1, 11
Let m(i) = 4*i + 3*i - i - 4*i + 9. Let o be m(7). Factor -7*l + 3*l**4 - 9*l**2 + o*l - 10*l.
3*l*(l - 1)**2*(l + 2)
Let c(k) be the first derivative of 3/16*k**4 + 3/4*k**2 + 7/8*k**3 + 0*k - 20 - 3/40*k**5. Factor c(a).
-3*a*(a - 4)*(a + 1)**2/8
Factor -1/9*y**2 + 2/9*y - 1/9*y**3 + 0.
-y*(y - 1)*(y + 2)/9
Let w(n) = -n - 3. Let z be w(-7). Factor -141 - 6*g**2 - z*g**3 - g - g + 141.
-2*g*(g + 1)*(2*g + 1)
Factor 0 + 2/5*n**2 - 12/5*n.
2*n*(n - 6)/5
Let b = 627/536 + -3/67. Determine i, given that -3/8 - b*i - 9/8*i**2 - 3/8*i**3 = 0.
-1
Let 5*q**5 + 10*q - 25*q**4 + 180*q**2 - 65*q**4 - 7*q - 3*q**3 + 2*q - 7*q**3 - 90 = 0. What is q?
-1, 1, 18
Let x(b) = 8*b**2 + 26*b + 38. Let p(o) = -26*o**2 - 79*o - 117. Let d(t) = -2*p(t) - 7*x(t). Find m, given that d(m) = 0.
-4, -2
Let n be 12/8*4*(-4)/(-108). Factor n*k + 0*k**2 - 2/9*k**3 + 0.
-2*k*(k - 1)*(k + 1)/9
Let t be (-27)/(-3) + (6 - -3