n(g) = 0. What is g?
1/4, 1, 2
Factor -256/5*g - 192/5*g**3 - 36/5*g**4 - 64/5 - 352/5*g**2.
-4*(g + 2)**2*(3*g + 2)**2/5
Let m(g) = 30*g**3 + 74*g**2 + 32*g - 14. Let x be (12/9)/(-4)*3. Let q(s) = -s**3 + s**2 - 1. Let n(z) = x*m(z) - 2*q(z). Solve n(a) = 0 for a.
-2, -1, 2/7
Let v(j) be the second derivative of -15*j**4/28 - 13*j**3/7 - 3*j**2/2 + 4*j - 5. Determine o, given that v(o) = 0.
-7/5, -1/3
Let q(r) be the first derivative of -r**4/34 + 4*r**2/17 - 31. Find v, given that q(v) = 0.
-2, 0, 2
Determine p, given that 24/7*p**2 + 0 + 27/7*p**3 + 3/7*p**4 + 0*p = 0.
-8, -1, 0
Let y(p) be the third derivative of -1805*p**5/18 + 95*p**4/9 - 4*p**3/9 - 208*p**2. Factor y(h).
-2*(95*h - 2)**2/3
Let w be ((-15)/(-90))/(5 + (1 - -1)). Let q(k) be the second derivative of -1/7*k**2 - 2/21*k**3 + 0 - 10*k - w*k**4. What is f in q(f) = 0?
-1
Factor 0 - 3/5*m**3 - 18/5*m**2 + 0*m.
-3*m**2*(m + 6)/5
Let m(o) be the second derivative of -o**7/56 - 7*o**6/40 - 27*o**5/40 - 5*o**4/4 - o**3 + 4*o + 25. Solve m(g) = 0.
-2, -1, 0
Suppose 0*h + 11*h - 22 = 0. Find v such that 4*v**5 - 694*v**3 - 3*v**4 - v**5 + 693*v**3 - 4*v**5 + h*v + 3*v**2 = 0.
-2, -1, 0, 1
Let d(k) be the second derivative of -k**6/45 + 7*k**5/30 + 20*k**4/9 + 44*k**3/9 - 555*k. Factor d(o).
-2*o*(o - 11)*(o + 2)**2/3
Suppose 3*p - 6 = -w + 2*p, 2*p = -5*w + 18. Factor -4 + 40*l - 84*l**2 + 24 + 89*l**w - 15*l**3.
-5*(l - 2)*(l + 1)*(3*l + 2)
Suppose -4*d = 3*k - 0*k - 153, 3*k - 9 = 0. Let z = -36 + d. Factor 4*i**2 - 2*i**5 - i**4 + 3*i**5 + z*i**3 - 2 - 2*i**3 + i - i**4.
(i - 2)*(i - 1)**2*(i + 1)**2
Solve -54*m**3 + 18*m**3 + 3*m**4 + 3*m**5 - 831*m + 831*m = 0.
-4, 0, 3
Let f(r) be the third derivative of r**8/392 + 2*r**7/735 - r**6/70 - 2*r**5/105 + r**4/28 + 2*r**3/21 + 4*r**2 - 8*r. Solve f(x) = 0 for x.
-1, -2/3, 1
Let a(u) be the second derivative of -5/168*u**7 + 0*u**3 + 0 - 22*u + 0*u**2 - 3/80*u**5 + 0*u**4 - 1/15*u**6. Suppose a(b) = 0. What is b?
-1, -3/5, 0
Suppose -10 = n - 5*h, -5*n - 5*h + 30 = -10*n. Let j be ((-27)/45)/(n - -2). Factor 2/5*o + 0 - 1/5*o**3 + j*o**2.
-o*(o - 2)*(o + 1)/5
Let u(h) be the first derivative of 0*h**2 + 4 - 1/3*h**3 + h. Find j such that u(j) = 0.
-1, 1
Let y(v) be the third derivative of v**6/360 + 2*v**5/15 - 17*v**4/24 + 13*v**3/9 + 71*v**2 - v. Let y(z) = 0. Calculate z.
-26, 1
Let u(a) = a**2 - 11*a + 13. Let y be u(10). Find v, given that 502*v**4 + y*v**3 + 4*v**2 + 3*v**3 - 500*v**4 = 0.
-2, -1, 0
Suppose -38/11*b**2 + 0*b + 0 + 2/11*b**3 = 0. Calculate b.
0, 19
Suppose -5/4*n**3 - 45/2*n + 55/4*n**2 + 0 = 0. What is n?
0, 2, 9
Suppose -5*i + 122 = -4*p, 4*i - p - 51 = 51. Suppose 4*s + 5*r = i, -s + r + 2 = -0*s. Suppose 0*q**3 + 1/5 - 2/5*q**2 + 0*q + 1/5*q**s = 0. What is q?
-1, 1
Let n(b) be the second derivative of b**5/150 + 2*b**4/45 + b - 60. Solve n(s) = 0 for s.
-4, 0
Let j = 163 + -163. Let g(c) be the second derivative of -c + 1/6*c**2 + j + 0*c**5 + 1/90*c**6 - 1/18*c**4 + 0*c**3. Factor g(y).
(y - 1)**2*(y + 1)**2/3
Let g(a) = -3*a + 12. Let c be g(5). Let j be 9/6*(-6)/c. Solve 0 + 0*q + 2/11*q**j + 0*q**2 - 2/11*q**5 + 0*q**4 = 0.
-1, 0, 1
Let f(a) be the first derivative of 0*a + 20 - 1/4*a**2 - 5/32*a**4 + 1/40*a**5 + 1/3*a**3. Determine b, given that f(b) = 0.
0, 1, 2
Let a(n) be the second derivative of -n**5/110 - 5*n**4/66 + n**3/33 + 5*n**2/11 - 4*n. Find l, given that a(l) = 0.
-5, -1, 1
Let g(y) be the first derivative of 2*y**6/3 - 4*y**5 + 8*y**4 - 16*y**3/3 + 288. Factor g(l).
4*l**2*(l - 2)**2*(l - 1)
Let z(m) be the third derivative of m**7/140 - m**6/120 - m**5/24 + m**4/12 + 293*m**2. Factor z(k).
k*(k - 1)**2*(3*k + 4)/2
Let o(y) be the second derivative of 1/33*y**4 + 0*y**3 + 1/165*y**6 + 0*y**2 - 3/110*y**5 + 0 + 4*y. Suppose o(w) = 0. Calculate w.
0, 1, 2
Suppose -26*t = -30*t + 560. Let m be 3*1 + 1 + (-500)/t. Factor 3/7 + 6/7*c**3 - 3/7*c**5 + m*c**4 - 3/7*c - 6/7*c**2.
-3*(c - 1)**3*(c + 1)**2/7
Let r(k) = -3*k - 34. Suppose 13*q = 16*q - 3*w + 36, -3*w = 0. Let g be r(q). Find x such that -6/5 + 3/5*x - 3/5*x**3 + 6/5*x**g = 0.
-1, 1, 2
Let m(y) be the second derivative of -35*y**6/3 - 37*y**5/2 - 9*y**4 + 4*y**3/15 + 8*y**2/5 - y + 19. Let m(w) = 0. What is w?
-2/5, 1/7
Let a(n) be the second derivative of 1/3*n**4 + 0 + 7*n + 0*n**2 - 4/3*n**3. Suppose a(i) = 0. What is i?
0, 2
Let x(z) = 12*z**3 + z. Let w be x(-1). Let u = w + 8. Let i(m) = m**5 - 5*m**4 - 4. Let l(g) = g**5 - 6*g**4 - 5. Let r(f) = u*i(f) + 4*l(f). Factor r(j).
-j**4*(j - 1)
Let j(t) = t**4 + t**3 + t**2. Let u(w) = -2*w**4 + 3*w**3 - 34*w**2 - 156*w + 180. Let r(m) = -3*j(m) - u(m). Let r(b) = 0. What is b?
-6, 1, 5
Factor 1/5*r**2 - 8/5*r + 16/5.
(r - 4)**2/5
Let u(r) be the second derivative of r**4/36 - 7*r**3/9 + 49*r**2/6 + 54*r + 3. Factor u(c).
(c - 7)**2/3
Factor 4*t**3 + 184 - 1171*t + 583*t - 184*t**2 + 584*t.
4*(t - 46)*(t - 1)*(t + 1)
Let f(l) = -l + 2. Let n(v) = 3*v**2 + 4*v - 35. Let h(k) = -4*f(k) - n(k). Find i such that h(i) = 0.
-3, 3
Let f(g) be the first derivative of 2*g**5/25 - 4*g**4/5 + 4*g**3/5 + 8*g**2 + 10*g - 51. Suppose f(r) = 0. Calculate r.
-1, 5
Let b(p) be the second derivative of -p**4/54 - 20*p**3/9 - 30*p. Factor b(f).
-2*f*(f + 60)/9
Let p(n) be the third derivative of n**9/5040 + n**8/1120 + n**7/840 - 5*n**4/12 + 16*n**2. Let f(j) be the second derivative of p(j). Factor f(u).
3*u**2*(u + 1)**2
Let w(r) = -18 - 4*r**3 + 5*r**3 - 2*r**2 + 0 - 19*r**2 + 21*r. Let a be w(20). Factor 0*k - 1/4*k**5 + 0*k**3 + 0 + k**a - 3/4*k**4.
-k**2*(k - 1)*(k + 2)**2/4
Suppose r = 5, 5*h + 0*r - 40 = -3*r. Solve -4 - 28*t**4 + h - 20*t**5 - 8*t**3 - 1 = 0 for t.
-1, -2/5, 0
Let c(w) be the second derivative of 4*w**4 + 70*w**3/3 + 50*w**2 + 7*w. Let g(h) = h**2 - 1. Let q(o) = -c(o) - 2*g(o). Suppose q(t) = 0. Calculate t.
-7/5
Let u = -48 - 82. Let x = u - -130. Factor -2/13*p - 2/13*p**5 + 0*p**2 + 4/13*p**3 + x + 0*p**4.
-2*p*(p - 1)**2*(p + 1)**2/13
Let y(u) be the third derivative of 0*u**3 + 0 - 1/120*u**5 - 1/48*u**4 + 2*u**2 + 0*u. Factor y(n).
-n*(n + 1)/2
Let d be -3 + 7 - (-4 - -2). Let r(t) be the second derivative of -1/60*t**d + 0*t**2 - 5/24*t**4 + 1/10*t**5 + 0 + 3*t + 1/6*t**3. Suppose r(l) = 0. What is l?
0, 1, 2
Let t = -5 - -7. Suppose -280*y + 299*y - 152 = 0. Let 3 + p**2 - 12*p**t + y*p**2 = 0. Calculate p.
-1, 1
Let v = 506 + -504. Let b(a) be the first derivative of 2/3*a**3 - v*a**2 - 2/5*a**5 + a**4 + 7 + 0*a. Find y such that b(y) = 0.
-1, 0, 1, 2
Let a(u) = u**3 + u. Let c(x) = -4*x**4 - 4*x**3 + 4*x**2 - 8*x. Let v(d) = -6*a(d) - c(d). What is y in v(y) = 0?
-1, 0, 1/2, 1
Let m(a) be the third derivative of -1/6*a**5 + 0 - 2/45*a**6 - 1/6*a**4 + 1/2*a**3 - 5*a**2 + 0*a. Let i(v) be the first derivative of m(v). Factor i(g).
-4*(g + 1)*(4*g + 1)
Let n(z) be the second derivative of -z**6/180 - z**5/20 - 5*z**4/72 + z**3/3 - 12*z + 1. Factor n(o).
-o*(o - 1)*(o + 3)*(o + 4)/6
Let r = 109/468 - -2/117. Let t(f) be the second derivative of -8*f - f**3 - r*f**4 - 3/2*f**2 + 0. Factor t(i).
-3*(i + 1)**2
Let y(z) = 6*z**4 + 192*z**3 + 69*z**4 - 12 + 48*z**2 - 4*z - 8*z. Let g(u) = 30*u**4 + 77*u**3 + 19*u**2 - 5*u - 5. Let j(h) = 12*g(h) - 5*y(h). Factor j(l).
-3*l**2*(l + 2)*(5*l + 2)
Let c be 12/42 + (-172)/14. Let y be c/102 + 53/17. Factor 6*r**4 + 0*r**5 + 3*r - 98*r**2 - y*r**5 + 92*r**2.
-3*r*(r - 1)**3*(r + 1)
Let k(w) be the third derivative of w**8/13440 - w**7/1120 + w**6/320 + 26*w**3/3 - 15*w**2. Let r(c) be the first derivative of k(c). What is q in r(q) = 0?
0, 3
Determine i so that 0*i**2 - 5*i**2 - 32*i + 4*i - 58*i + i = 0.
-17, 0
Let s(l) = -l**2 - 12*l - 14. Let j be s(-9). Let u be (j - 8)*(-4)/(-90). Let -u*d**2 - 2 + 4/3*d = 0. What is d?
3
Let s(y) be the third derivative of 0*y**3 - 1/210*y**7 + 0*y + 0*y**4 - 7*y**2 + 0 - 1/24*y**6 - 1/15*y**5. Factor s(b).
-b**2*(b + 1)*(b + 4)
Let h(z) = -2*z**3 + 11*z**2 - z + 46. Let p be h(6). Suppose 0 - 16*d**2 - 180/7*d**3 - 16/7*d + 28*d**5 + 16*d**p = 0. What is d?
-1, -2/7, 0, 1
Let s = 1461 + -1459. Factor -1/2*f**s + 0 + 0*f**3 + 1/3*f + 1/6*f**4.
f*(f - 1)**2*(f + 2)/6
Factor 49*d**3 - 10*d**3 - 7*d**2 - 18*d**3 + 3*d**2 - 13*d**3 - 3*d**4.
-d**2*(d - 2)*(3*d - 2)
Let a = -3423/2 - -171