j) be the second derivative of d(j). Suppose y(n) = 0. Calculate n.
-2, 0, 1
What is u in -5/2*u**5 + 0*u + 0 + 5/2*u**3 + 5/2*u**2 - 5/2*u**4 = 0?
-1, 0, 1
Let l = -88 + -73. Let w = l - -167. Let 10/3*x**2 - w - 2/3*x**3 - 2*x = 0. What is x?
-1, 3
Solve 2*u**3 + 42*u**2 + 128*u - 49*u**2 - 25*u**2 = 0.
0, 8
Let s(t) = -65*t**2 - 85*t + 90. Let p(y) = 2*y**2. Let v(w) = 30*p(w) + s(w). Find l, given that v(l) = 0.
-18, 1
Suppose 0 = -5*y - 3*t, -4 = -6*y + 3*y - t. Suppose -2*b + b = 4*k + 18, -15 = y*k. Factor 7 + b - z**2 - 8.
-(z - 1)*(z + 1)
Suppose -17*m + 20*m = -9*m + 48. Factor 4/3*d**5 + 16/3*d - 16/3*d**2 + 0 - 4*d**3 + 8/3*d**m.
4*d*(d - 1)**2*(d + 2)**2/3
Let k(d) = 2*d. Let n(p) = p**2 - 4*p - 16. Let s(y) = 5*k(y) + n(y). Factor s(l).
(l - 2)*(l + 8)
Let d(m) be the third derivative of -1/8*m**4 + 0*m + 0*m**6 + 0 + 1/140*m**7 - 8*m**2 + 0*m**3 - 3/40*m**5. Determine u so that d(u) = 0.
-1, 0, 2
Let n be ((-1)/5)/((-24)/80). Let s(g) be the first derivative of n*g**3 + g + 1/8*g**4 + 5/4*g**2 - 2. Factor s(o).
(o + 1)**2*(o + 2)/2
Let x(q) be the second derivative of -1/180*q**6 + 0*q**3 + 0*q**4 + 0 + 0*q**2 - 8*q + 1/120*q**5. Factor x(v).
-v**3*(v - 1)/6
Let -10/3*n - 7/2 + 1/6*n**2 = 0. What is n?
-1, 21
Let v be ((-3)/(-21))/(((-324)/(-33075))/6). Suppose 10 + 885/4*j**2 + v*j + 20*j**4 + 130*j**3 = 0. What is j?
-4, -2, -1/4
Suppose 16*t - 22 = 5*t. Let n(k) be the second derivative of 0 + 2*k**t - 2/3*k**3 - 3/5*k**5 - 5/3*k**4 - k. Factor n(q).
-4*(q + 1)**2*(3*q - 1)
Let d(a) be the third derivative of 1/120*a**5 + 0*a**4 + 0*a - 6*a**2 - 1/9*a**3 + 1/720*a**6 + 0. Factor d(s).
(s - 1)*(s + 2)**2/6
Let n(m) = 3*m**3 + m**2 - 3*m - 1. Let i(a) = 19*a**3 + 7*a**2 - 19*a - 7. Let z be (2 + -5)*1 - -42. Let x(j) = z*n(j) - 6*i(j). Let x(u) = 0. What is u?
-1, 1
Let y be (-1114)/280 + 0 - 36/(-9). Let v(p) be the second derivative of 0 + 1/70*p**6 + 7*p - 1/98*p**7 + 0*p**2 + 0*p**3 - 1/28*p**4 + y*p**5. Factor v(f).
-3*f**2*(f - 1)**2*(f + 1)/7
Let i = 3951 + -3951. Factor -21/4*h**4 + i - 3*h**2 + 12*h**3 + 0*h.
-3*h**2*(h - 2)*(7*h - 2)/4
Let a(z) be the third derivative of z**8/5040 - z**7/2520 - 6*z**3 + 17*z**2. Let p(j) be the first derivative of a(j). Factor p(t).
t**3*(t - 1)/3
Let b(f) = -4*f**4 - 39*f**3 - 54*f**2 + 96*f. Let x(q) = -q**3 + 2*q**2. Let m(c) = b(c) + x(c). What is u in m(u) = 0?
-8, -3, 0, 1
Let -3/8*o**2 - 9/2 + 3*o = 0. What is o?
2, 6
Let i(h) be the first derivative of h**9/9072 - h**8/1680 + h**7/1260 + 35*h**3/3 - 25. Let m(b) be the third derivative of i(b). Let m(p) = 0. What is p?
0, 1, 2
Let q(k) be the third derivative of 0 - 1/42*k**4 + 2*k**2 - 11*k - 4/105*k**5 + 1/210*k**6 + 8/21*k**3. Suppose q(t) = 0. Calculate t.
-1, 1, 4
Let n(y) = 5*y**2 + 30*y + 40. Let p(t) be the first derivative of -t + 5. Let a(r) = n(r) - 5*p(r). Factor a(k).
5*(k + 3)**2
Let g be (-3 - -16 - (-186)/(-15))*(-2)/(-3). Determine d so that 4/5*d + 2/5 + g*d**2 = 0.
-1
Suppose 3*b + 30 - 1/3*b**2 = 0. What is b?
-6, 15
Let u(b) be the first derivative of -3/4*b**2 - 8 - 1/2*b - 1/8*b**4 - 1/2*b**3. Find o, given that u(o) = 0.
-1
Factor 52 - 40/3*d - 4/3*d**2.
-4*(d - 3)*(d + 13)/3
Let 0*i + 3/5*i**3 + 0*i**2 + 1/5*i**5 - 4/5*i**4 + 0 = 0. What is i?
0, 1, 3
Let u be 2/(-15) + (-62034)/(-315). Let s = -196 + u. Suppose 2/5*j**2 - s*j + 2/5 = 0. Calculate j.
1
Let n(z) be the first derivative of 3*z**5/5 - 123*z**4/4 + 475*z**3 - 3249*z**2/2 + 584. What is q in n(q) = 0?
0, 3, 19
Let s(p) be the second derivative of 20/3*p**3 - 1/6*p**6 + 35*p + 5/2*p**4 + 15/2*p**2 + 0*p**5 + 0. Determine j so that s(j) = 0.
-1, 3
Let k be (-12)/(-81)*(-60)/(-8). Factor k*t**2 + 2/3*t**3 + 4/9*t + 0.
2*t*(t + 1)*(3*t + 2)/9
Let t = -1 - -5. Suppose -t = -5*z + 16. Factor 5*v**z - v - v**4 - v**4 - 9*v**2 - 2*v + 3*v**3 + 6.
3*(v - 1)**2*(v + 1)*(v + 2)
Let u(b) = -11*b**2 + 552*b - 19044. Let z(f) = -5*f**2 + 276*f - 9522. Let s(g) = 3*u(g) - 7*z(g). Factor s(q).
2*(q - 69)**2
Let w be 18/30*(-3)/54. Let l = 7/15 - w. Find z such that 2*z**2 + 2*z + l*z**5 - 3/2*z**3 - z**4 + 0 = 0.
-1, 0, 2
Let q(i) = -i**3 - 16*i + 5. Let p(b) = -5*b**3 + 4*b**3 + 1 + 0 + 0. Let d(n) = -5*p(n) + q(n). Factor d(x).
4*x*(x - 2)*(x + 2)
What is x in -9*x**2 + 15*x**3 + 74*x**5 - x**4 - 77*x**5 - 2*x**4 = 0?
-3, 0, 1
Let f(b) be the second derivative of b**3/3 - 3*b**2 + 4*b. Let s be f(3). Factor -l**3 + 6*l**2 + 10 + 1 - 3 + s*l - 12*l.
-(l - 2)**3
Factor -50*r**2 + 10*r**4 - 60*r**5 - 32*r + 26*r**5 + 10*r**3 - 48*r + 32*r**5 - 32.
-2*(r - 4)**2*(r + 1)**3
Let p(f) be the second derivative of -f**4/4 + 3*f**3 + 21*f**2/2 + 57*f. Factor p(g).
-3*(g - 7)*(g + 1)
Let o(z) be the third derivative of -49*z**6/30 - 28*z**5/3 - 31*z**4/2 - 12*z**3 + 495*z**2. What is p in o(p) = 0?
-2, -3/7
Factor -106*z**3 + 32 - 88*z + 84*z**2 + 3*z**4 + 47*z**3 + 27*z**3 + z**4.
4*(z - 4)*(z - 2)*(z - 1)**2
Suppose 56 = 5*c - 29. Factor 15*l**4 + 12*l**2 - 14*l**5 + 17*l**3 + 7*l**3 + c*l**5.
3*l**2*(l + 1)*(l + 2)**2
Let j(b) be the first derivative of -5*b**4/4 - 50*b**3/3 - 125*b**2/2 + 259. Factor j(m).
-5*m*(m + 5)**2
Solve -1/2*y**3 + 0*y - 3*y**2 + 0 = 0.
-6, 0
Factor -44*q**3 - 16*q**2 - 16 - 10*q**4 + 49 - 14 - 19.
-2*q**2*(q + 4)*(5*q + 2)
Let n(f) = f**3 - 2*f**2 + 13*f - 4. Let l(h) = h**2 + h. Let v(k) = -20*l(k) + 5*n(k). Find w such that v(w) = 0.
1, 4
Let p(g) be the first derivative of -5*g**3/3 + g**2/2 + 4*g + 12. Let u(m) = -m**2 + m. Let z(l) = p(l) - u(l). Determine h so that z(h) = 0.
-1, 1
Let l(j) = 5*j**2 + 654*j + 34343. Let c(g) = -11*g**2 - 1314*g - 68684. Let q(f) = -2*c(f) - 5*l(f). Factor q(p).
-3*(p + 107)**2
Suppose -4 = -3*p + t + 15, 3*p = -2*t + 16. Suppose 16 = -2*d + p*d. Determine z so that 10*z + 2*z + 108*z**d - 38*z**3 - 4 + 24*z**2 - 66*z**3 - 36*z**5 = 0.
-1/3, 1/3, 1
Let d(m) be the first derivative of -m**6/210 + m**5/20 - 17*m**4/84 + 17*m**3/42 - 3*m**2/7 - 23*m - 4. Let v(u) be the first derivative of d(u). Factor v(w).
-(w - 3)*(w - 2)*(w - 1)**2/7
Suppose 0*u + 2*u = -4*w - 4, 0 = 4*u + 4*w - 12. Let a = 11 - u. Find k, given that -k - k**2 - k**3 + 4*k**a - k - 2*k**3 = 0.
-1, 0, 2
Let i(y) be the first derivative of -y - y**3 - 3/2*y**2 - 19 - 1/4*y**4. Find m such that i(m) = 0.
-1
Let m = 59710/849 - -1/283. Let o = m + -70. Factor 0 - 1/3*f**5 + f**4 + o*f**2 + 0*f - f**3.
-f**2*(f - 1)**3/3
Suppose 2*x - 31 = -5*w + 25, 3*x = 5*w - 41. Let b(v) be the first derivative of -w - 9/16*v**2 + 1/4*v**3 - 3/4*v. Find j such that b(j) = 0.
-1/2, 2
Let l(p) be the first derivative of -2*p**5/45 + p**4/3 + 14*p**3/27 - 47. Factor l(i).
-2*i**2*(i - 7)*(i + 1)/9
Let n(b) be the second derivative of 0*b**2 - 1/330*b**6 + 1/66*b**4 + 0 - 23*b - 1/220*b**5 + 0*b**3. Factor n(z).
-z**2*(z - 1)*(z + 2)/11
Let v(w) be the first derivative of w**4/8 + w**3 + 3*w**2/4 - 5*w + 23. Factor v(m).
(m - 1)*(m + 2)*(m + 5)/2
Suppose 14*c + 38 = 66. Let -1/3 - 2/3*f - 1/3*f**c = 0. What is f?
-1
Let r(f) be the second derivative of f**7/147 - f**6/7 + 83*f**5/70 - 205*f**4/42 + 72*f**3/7 - 80*f**2/7 - 330*f. Solve r(w) = 0 for w.
1, 4, 5
Suppose 1740*j - 88*j**2 - 90*j**2 - 151380 + 173*j**2 = 0. Calculate j.
174
Let x be 14/42 + (1 - (-5)/3). Let n(h) = -9*h + 137. Let v be n(15). What is t in -1/3*t**2 - x - v*t = 0?
-3
Let s(w) be the third derivative of w**6/24 - 6*w**5 + 360*w**4 - 11520*w**3 + 3*w**2. Let s(t) = 0. What is t?
24
Let j(n) be the second derivative of 0*n**3 + 0*n**2 + 5*n + 0 + 1/33*n**4 + 5/231*n**7 - 8/165*n**6 + 1/110*n**5. Determine p so that j(p) = 0.
-2/5, 0, 1
Let s(g) be the third derivative of g**5/40 - 9*g**3 + 110*g**2 - g. Factor s(f).
3*(f - 6)*(f + 6)/2
Let o(i) = -i**4 + i**3 - i**2 - i - 1. Let l(y) = 2*y**5 - 24*y**4 + 42*y**3 - 34*y**2 - 10*y - 10. Let x(t) = l(t) - 10*o(t). Find f, given that x(f) = 0.
0, 2, 3
Let n(w) be the first derivative of 4*w**3/9 - 6*w**2 + 32*w/3 + 58. Factor n(j).
4*(j - 8)*(j - 1)/3
Let u(h) = h**2 + h - 5. Let g(b) = 5 - 3 - 10 + 7. Suppose -2*p - 2 = -5*i, 3*i - p = i. Let d(w) = i*u(w) - 10*g(w). Suppose d(s) = 0. What is s?
-1, 0
Solve 1/7*p**5 - 4/7*p**4 + 1/7*p**3 + 2*p**2 + 8/7 - 20/7*p = 0.
-2, 1, 2
Factor 1/8*y**3 + 39/8*y**2 + 507/8*y + 2197/8.
(y + 