 - 30*f**2 - 396. Factor i(j).
5*j*(j - 6)*(j - 2)*(j - 1)
Factor -5578543983 - 177504328*c - 8202614727 + 1311479668 - 2267*c**3 - 947532*c**2 + 19*c**3 - 2*c**4.
-2*(c + 281)**4
Suppose 0 = 31*t - 26*t. Suppose u = 4*n + 18, -u + t*n = -2*n - 10. Suppose 3/2*d**u - 9/2*d**3 - 3/2*d**5 + 9/2*d**4 + 0 + 0*d = 0. What is d?
0, 1
Let k = 20 - 18. Let o = -2762/3 - -921. Find h such that -h**k + o*h**4 + 5/3*h - 1/3*h**3 - 2/3 = 0.
-2, 1
Factor -61*u + 21*u + 14*u - u**4 + 26*u - 72*u**3 + 73*u**2.
-u**2*(u - 1)*(u + 73)
Let r(d) = 3*d + 44. Let a be r(-14). Let n(l) be the second derivative of 0*l**a + 1/28*l**7 - 3/40*l**5 - 4*l + 0*l**3 + 0*l**6 + 0 + 0*l**4. Factor n(q).
3*q**3*(q - 1)*(q + 1)/2
Suppose -2*v = -d - 8, 2*d = -5 - 3. Suppose 5*w - 2*q - 265 = q, v*q = w - 46. Let -n**3 + 3*n**2 + w - 2*n - 56 = 0. What is n?
0, 1, 2
Let l(h) = -20*h**2 - 266*h + 1928. Let x(c) = 4*c**2 + 53*c - 386. Let a(r) = 3*l(r) + 14*x(r). Factor a(v).
-4*(v - 5)*(v + 19)
Let k(v) = -v**3 + 9*v**2 + 7*v + 34. Let t be k(10). Let a(m) be the first derivative of 4 - 3/8*m**t + 0*m**2 + m**3 + 0*m. Factor a(b).
-3*b**2*(b - 2)/2
Let q(y) be the third derivative of y**6/30 - 3*y**5/20 + y**4/12 + 293*y**2. Factor q(u).
u*(u - 2)*(4*u - 1)
Let f(x) = 273*x**2 - 297*x + 6. Let c = -68 + 50. Let h(z) = 78*z**2 - 85*z + 2. Let j(o) = c*h(o) + 5*f(o). Determine n, given that j(n) = 0.
2/13, 1
Let d(u) = -4*u - 32. Let z be d(-13). Factor 84*y**3 + 0*y + z*y**5 - 65*y**4 + 5*y + 3*y - 3*y**4 - 44*y**2.
4*y*(y - 1)**3*(5*y - 2)
Let s be (47/(987/14))/((-16)/(-6)). Determine z, given that -27/4*z**2 + 0 - 9/4*z**3 - 27/4*z - s*z**4 = 0.
-3, 0
Suppose 3*x = 7*x - 120. Suppose 5*m = x - 5. Find u such that m*u + 5*u**2 - 8*u**2 + u + 9 = 0.
-1, 3
Let t be 1/(-9*((-120)/54)/5). Let w(j) be the first derivative of -t*j**4 + 1/2*j**2 + 1/5*j**5 - 1/3*j**3 + 4 + 0*j. Find h such that w(h) = 0.
-1, 0, 1
Suppose 5*b + 2 + 3 = 0, b + 354 = q. Let r = -3877/11 + q. Determine z, given that -2/11 - 4/11*z**3 + r*z**2 + 0*z = 0.
-1/2, 1
Let l(s) = 5*s. Let k be l(4). Let r be 100/(-25)*(-68)/51. Factor k*w**3 + r*w + 24*w**2 + 0 - 50/3*w**4.
-2*w*(w - 2)*(5*w + 2)**2/3
Determine q so that 7/2*q**3 - 36 + 141*q - 107/2*q**2 = 0.
2/7, 3, 12
Let v(q) be the first derivative of 3 - 6*q - 2/9*q**3 - 10/3*q**2. Factor v(t).
-2*(t + 1)*(t + 9)/3
Let i(u) be the second derivative of 7*u**8/24 + u**7/5 - 2*u**6/5 + 2*u**5/15 - 20*u**2 - 50*u. Let k(y) be the first derivative of i(y). Factor k(b).
2*b**2*(b + 1)*(7*b - 2)**2
Let u(z) be the second derivative of z**8/2240 - z**6/240 - 11*z**4/12 + 10*z. Let s(g) be the third derivative of u(g). Solve s(a) = 0.
-1, 0, 1
Let j(q) be the second derivative of q**7/7560 + q**6/240 + 37*q**4/12 + 2*q + 10. Let i(f) be the third derivative of j(f). Factor i(a).
a*(a + 9)/3
Let c = -2/265 + 1329/530. Let i(r) be the first derivative of 1 - 2*r + 1/4*r**4 - c*r**2 - r**3 + 1/5*r**5. Factor i(o).
(o - 2)*(o + 1)**3
Solve 4*d**2 + 1/4*d**3 - 35/4*d + 9/2 = 0 for d.
-18, 1
Suppose -3*b + m = 55, -2*m + 50 = -5*b - 42. Let i = b - -22. Determine w so that -3/5*w**3 + 0 + 2/5*w**2 + 1/5*w**i + 0*w = 0.
0, 1, 2
Let -196/9*a**4 + 0*a - 32/9*a**2 + 0 - 152/9*a**3 - 40/9*a**5 = 0. Calculate a.
-4, -1/2, -2/5, 0
Let f(u) be the third derivative of 0*u + 0*u**3 - 1/15*u**4 + 10*u**2 - 1/75*u**5 + 0. Let f(a) = 0. What is a?
-2, 0
Suppose -g = 3*g - 20. Suppose g*y - 230 = -20. Determine z, given that 1 - y*z - 11 - 2 + 33*z + 3*z**2 = 0.
-1, 4
Let q(u) be the second derivative of 0 + 5/4*u**5 - 20/3*u**3 - 10*u**2 - 5/12*u**4 - 5/42*u**7 + 1/6*u**6 - 18*u. Factor q(g).
-5*(g - 2)**2*(g + 1)**3
Let s(f) be the first derivative of -8*f - 2*f**2 + f**4 + 4*f**3 - 4/5*f**5 + 27. Solve s(t) = 0.
-1, 1, 2
Suppose 2*r + 40 = 4*m, 3*r = -4*m + r + 32. Suppose m = j + 4*j - p, 3*p = -5*j + 13. What is t in 16/5 - 36/5*t**j - 2*t**3 - 24/5*t = 0?
-2, 2/5
Let o(n) = 4*n**3 + 10*n**2 + 6*n - 18. Let y(b) = -12*b**3 - 29*b**2 - 17*b + 51. Let s(g) = -17*o(g) - 6*y(g). Let s(d) = 0. What is d?
-1, 0
Let v(d) be the second derivative of d**5/70 + 4*d**4/21 - 20*d**3/21 - 99*d. Let v(x) = 0. What is x?
-10, 0, 2
Suppose -5*t + 22 + 11 = -3*z, -4*t = -4*z - 36. Let u be ((-7)/(-28))/(30/(-8))*z. Factor 0*d**2 + 0*d - u*d**3 - 2/5*d**4 + 0.
-2*d**3*(d + 1)/5
Suppose -3*j - 2*v + 2 = 2*j, 0 = 2*j + 4*v + 12. Find p, given that 0 + 3/4*p**j + 1/4*p + 1/4*p**4 + 3/4*p**3 = 0.
-1, 0
Let n(a) = 8*a**4 - 2*a**3 - 18*a**2 + 2*a + 7. Let j(q) = -9*q**4 + q**3 + 19*q**2 - q - 6. Let v(h) = 3*j(h) + 4*n(h). Suppose v(z) = 0. What is z?
-1, 1, 2
Suppose -3*x + o = -7, 2*o + 0 = 4*x - 6. Let j(w) be the first derivative of 4 - 7*w - w**3 - w - x*w + 0*w + 6*w**2. Factor j(g).
-3*(g - 2)**2
Let t(l) be the second derivative of 17*l + 1/16*l**4 + 0*l**3 + 0 + 0*l**2. What is b in t(b) = 0?
0
Factor -2/5*v**4 + 0 + 2/5*v**2 + 0*v**3 + 1/5*v - 1/5*v**5.
-v*(v - 1)*(v + 1)**3/5
Let p(b) be the third derivative of 1/20*b**5 + 4*b**2 - 3/8*b**4 + b**3 + 0*b + 0. Let p(s) = 0. What is s?
1, 2
Let w(q) be the third derivative of -q**4/24 - 2*q**3/3 + 2*q**2. Let s be w(-8). Suppose -2*n - 2*n + s + 6*n - 6*n**2 = 0. Calculate n.
-2/3, 1
Suppose -2*x**4 + 2*x**2 + 18*x**2 - 45*x**3 - 5*x**5 + 32*x**4 = 0. What is x?
0, 1, 4
Let l = -71 + 78. Let q = l + -5. Suppose -1/4*p**q + 0 - 1/4*p = 0. Calculate p.
-1, 0
Let p = 2509 + -7517/3. Factor 2/3*v**4 - 4/3*v + 0 - 2*v**3 - p*v**2 + 2/3*v**5.
2*v*(v - 2)*(v + 1)**3/3
Let h(n) = 3*n**2 + 8*n + 11. Let y(k) = 5*k**2 + 7*k + 11. Let q(r) = -3*h(r) + 2*y(r). What is d in q(d) = 0?
-1, 11
Let c(i) = 4*i**2 + 12*i - 32. Let o(k) = -k**3 - k**2 - 5. Let m be o(0). Let n(r) = -3*r**2 - 8*r + 21. Let d(x) = m*c(x) - 8*n(x). Factor d(l).
4*(l - 1)*(l + 2)
Let z(f) be the third derivative of -f**9/15120 + f**8/840 - 11*f**7/1260 + f**6/30 + 3*f**5/10 - 7*f**2. Let l(u) be the third derivative of z(u). Factor l(r).
-4*(r - 3)*(r - 2)*(r - 1)
Let m(r) be the first derivative of 27*r**5 - 15/2*r**6 + 50*r**2 + 16 - 55/4*r**4 - 20*r - 115/3*r**3. Solve m(p) = 0 for p.
-1, 1/3, 2/3, 1, 2
Let s(b) be the first derivative of b**3/12 + 19*b**2/8 - 5*b + 93. Find k such that s(k) = 0.
-20, 1
Factor -24 + 30*t - 16/3*t**2 - 2/3*t**3.
-2*(t - 3)*(t - 1)*(t + 12)/3
Let j(z) be the third derivative of z**7/2520 - z**6/360 - 5*z**4/12 + 4*z**2. Let s(k) be the second derivative of j(k). Factor s(n).
n*(n - 2)
Factor -2/7*v**2 + 0 + 4/7*v - 2/7*v**3.
-2*v*(v - 1)*(v + 2)/7
Let o(h) be the second derivative of h**10/10080 - h**9/2520 - 3*h**8/2240 - 7*h**4/12 + 35*h. Let f(i) be the third derivative of o(i). Factor f(r).
3*r**3*(r - 3)*(r + 1)
Let w = 59 - 57. Suppose w*n**4 + 2*n**3 - n**2 - 11*n**2 + 16 - 4*n - 4*n = 0. What is n?
-2, 1, 2
Let x(v) = -20*v**2 + 39*v - 22. Let b(w) = 120*w**2 - 235*w + 130. Let q(z) = 6*b(z) + 35*x(z). Factor q(p).
5*(p - 2)*(4*p - 1)
Let 529*d**3 + 754*d - 24*d**3 + 20*d**4 + 2597*d**2 - 1207*d**2 - 845 + 1595*d**2 - 3419*d = 0. What is d?
-13, -1/4, 1
Let v(f) = -f + 1. Let o(h) = -5*h**2 - 40*h - 5. Let y(g) = -g**3 + g**2 + 2*g - 1. Let a be y(2). Let t(m) = a*o(m) - 5*v(m). Factor t(n).
5*n*(n + 9)
Let j(n) be the first derivative of n**3/3 + 32*n**2 + 1024*n - 56. Determine v, given that j(v) = 0.
-32
Suppose -18*c = -10*c - 24. Let z(a) be the first derivative of -4/13*a + 2/39*a**c - 3 + 3/26*a**4 + 2/65*a**5 - 3/13*a**2. Let z(b) = 0. Calculate b.
-2, -1, 1
Let x(p) = 2*p**2 - 13*p - 7. Suppose 4*s + 0*s = 5*d - 45, -s = -d + 9. Let w(h) = -h**2 + 6*h + 3. Let t(g) = d*w(g) + 4*x(g). What is f in t(f) = 0?
1
Let w(n) be the first derivative of n**5/4 - 5*n**3/6 - 16*n + 14. Let f(h) be the first derivative of w(h). Factor f(i).
5*i*(i - 1)*(i + 1)
Factor -2/17*d**2 - 28/17 + 18/17*d.
-2*(d - 7)*(d - 2)/17
Factor -3/7*u**3 + 12/7*u - 3/7*u**2 + 12/7.
-3*(u - 2)*(u + 1)*(u + 2)/7
Suppose -6*t - 70 + 394 = 0. Suppose -3*h**3 - t*h - 4*h**2 + 119*h - 60*h + 2 = 0. What is h?
-2, -1/3, 1
Let c(b) = 14*b**3 + 15*b**2 - 53*b - 21. Let a(i) = -57*i**3 - 60*i**2 + 213*i + 81. Let f(v) = -5*a(v) - 21*c(v). Solve f(x) = 0 for x.
-3, -2/3, 2
Let d(v) = 7*v**3 - 2*v**2 + 41*v + 83. Let j(b) = -4*b**3 + 2*b**2 - 42*b - 82. Let p(k) = -2*d(k) - 