ppose 2 = -a + l. Find d such that 2/11*d**a - 6/11*d**2 - 2/11*d + 6/11 = 0.
-1, 1, 3
Let i be 4 + 77/(-20) + 0. Let p(d) be the second derivative of -1/6*d**2 + i*d**5 - 5/12*d**4 + 0 - 4*d + 7/18*d**3. Suppose p(a) = 0. Calculate a.
1/3, 1
Let m(z) be the second derivative of -1/15*z**5 + 1/90*z**6 + 0*z**2 + 0 + 72*z + 1/9*z**4 + 0*z**3. Let m(f) = 0. Calculate f.
0, 2
Let r be ((-61)/(-12))/1 + (0 + 51 - 56). Let s(p) be the second derivative of -r*p**4 + 0 - 1/3*p**3 + 3/2*p**2 + 18*p. Factor s(q).
-(q - 1)*(q + 3)
Let u(v) = v**3 + 9*v**2 + v + 10. Let c be u(-9). Suppose 4*t - 20 = -4*s, -2*t + 0*s + s = -c. Factor -b**2 + 2*b**2 - t*b - b + b.
b*(b - 2)
Suppose f = -143 + 245. Let t be 32/8 + f/(-27). What is a in -2/9*a**2 + 2/9*a - t*a**3 + 2/9 = 0?
-1, 1
Let k(j) = j**3 - 21*j**2 - 23*j + 24. Let r be k(22). Factor 4*z**3 - 25*z**2 - 13*z**2 + 19*z**r - 3*z**2 - 24*z - 2*z**3.
2*z*(z - 12)*(z + 1)
Let k = 3820 + -3817. Let r(d) be the third derivative of 13*d**2 + 0 + 0*d + 0*d**k - 1/570*d**5 - 1/76*d**4. Let r(u) = 0. Calculate u.
-3, 0
Let v(m) be the second derivative of 2*m**6/15 - 7*m**4/3 + 4*m**3 + 5*m + 83. What is u in v(u) = 0?
-3, 0, 1, 2
Suppose 4/5*v - 4/5*v**3 - 4*v**2 + 4 = 0. What is v?
-5, -1, 1
Factor -4376/7*b - 1248/7 - 4*b**2.
-4*(b + 156)*(7*b + 2)/7
Let o(k) = -k**2 + 142*k + 1049. Let y(d) = d**2 - 142*d - 1048. Let x(p) = -5*o(p) - 6*y(p). Factor x(r).
-(r - 149)*(r + 7)
Suppose -h = -2*h + 4, -756 = -4*f - h. Let o = f + -109. Factor -o - 4*l**2 - 2*l - 54*l - 195 + 78.
-4*(l + 7)**2
Suppose 43*p + 15*p**2 + 7*p**2 + 84*p - 12*p**2 - 11*p**2 = 0. What is p?
0, 127
Let y(h) be the third derivative of h**9/16632 - h**7/924 + h**5/165 + 21*h**3/2 - 5*h**2 + 1. Let p(n) be the first derivative of y(n). What is o in p(o) = 0?
-2, -1, 0, 1, 2
Let t(j) = 5*j**2 - 149*j + 344. Let b(n) = n**2 - 30*n + 68. Let p(u) = -22*b(u) + 4*t(u). Factor p(q).
-2*(q - 30)*(q - 2)
Let h = 93 + -83. Suppose -3*c + 26 = h*c. Suppose -a**3 + a**2 + 3*a**2 + 0*a - c*a - 8 + a**2 = 0. What is a?
-1, 2, 4
Factor 23*m**4 + 4716 + 38*m**2 + 28*m**2 - 828 - 25*m**4 + 1674*m - 12*m**3 - 14*m**3.
-2*(m - 8)*(m + 3)*(m + 9)**2
Let h(u) be the first derivative of -u**6/165 + u**5/22 + u**4/11 + 3*u + 20. Let v(a) be the first derivative of h(a). Solve v(q) = 0.
-1, 0, 6
Suppose 0 = -4*a + 4*u - 116, -24 = -2*a + 3*u - 84. Let y be 4 + (-20)/4 - 33/a. Find j such that -y*j**2 + 8/9*j - 2/3 = 0.
1, 3
Suppose 5*z + 18 = 4*r, 2 = 4*r + 21*z - 18*z. Factor -7*x - 4*x + 3*x - 7 - r*x**2 - 8*x + 25.
-2*(x - 1)*(x + 9)
Find k such that 94328*k - 941*k**2 + 5*k**3 + 81750 - 1604*k**2 + 230792*k - 404330 = 0.
1, 254
Let o(r) be the second derivative of -15*r - 20*r**2 + 5/12*r**4 - 5 - 5/3*r**3. Solve o(s) = 0 for s.
-2, 4
Let i(f) be the third derivative of f**8/672 + 2*f**7/105 - 59*f**6/240 + 13*f**5/20 + 89*f**2 + 11*f. Determine u, given that i(u) = 0.
-13, 0, 2, 3
What is d in -13*d**4 + 19*d**3 + 20*d**3 - 9*d - 9*d**5 + 26*d**2 - 20*d**3 - 13 - d**3 = 0?
-13/9, -1, 1
Suppose 10 = -114*k + 119*k. Find y, given that -64*y**2 + 5*y**5 + 48*y + 57*y**3 - k*y**5 - 12 - 11*y**2 - 184*y**4 + 163*y**4 = 0.
1, 2
Suppose 58 = w - 16*t - 177, 5*w = -2*t + 355. Suppose w - 32/3*i**3 + 1/3*i**4 + 286/3*i**2 - 160*i = 0. Calculate i.
1, 15
Let n(s) be the third derivative of s**8/1260 - 2*s**7/315 - 7*s**6/270 + s**5/9 - 100*s**3/3 - 4*s**2. Let a(y) be the first derivative of n(y). Factor a(l).
4*l*(l - 5)*(l - 1)*(l + 2)/3
Let x(u) be the third derivative of -u**5/20 - 31*u**4/4 + 64*u**3 - 2*u**2 - 115*u. Factor x(l).
-3*(l - 2)*(l + 64)
Let z be (15/6 + -3)/((851/(-37))/115). Factor 9/2*n + 0 - 1/4*n**4 - 7/4*n**2 - z*n**3.
-n*(n - 1)*(n + 2)*(n + 9)/4
Suppose 90 = 5*k + 2*i + 42, 3*k - 40 = -2*i. Determine d, given that -10/11*d**3 - 2/11*d**k + 0 + 18/11*d - 6/11*d**2 = 0.
-3, 0, 1
Let -1/4*f**2 + 0 - 3/2*f = 0. Calculate f.
-6, 0
Let k(v) be the second derivative of v**5/5 + 17*v**4/2 + 262*v**3/3 + 285*v**2 - 4387*v. Factor k(a).
2*(a + 5)*(a + 19)*(2*a + 3)
Let y(s) be the first derivative of -s**3 + 6*s**2 + 1071*s + 3662. Solve y(l) = 0 for l.
-17, 21
Suppose 5*c + n - 14 = 0, 5*n + 3 = 5*c - 17. Let o(t) be the first derivative of -18 + 2/3*t**2 - 2/9*t**c - 2/3*t. Factor o(y).
-2*(y - 1)**2/3
Let b = -1/738323 + 36916153/2214969. Factor b - 2/3*i**2 + 0*i.
-2*(i - 5)*(i + 5)/3
Let q(r) be the first derivative of -2*r**3/21 - 1016*r**2/7 - 290*r + 6879. Factor q(o).
-2*(o + 1)*(o + 1015)/7
Let h(p) be the second derivative of -p**6/6 + p**5/2 + 20*p**4/3 - 80*p**3/3 - 593*p. Factor h(l).
-5*l*(l - 4)*(l - 2)*(l + 4)
Suppose 3*t = -5*z - 40, -3*t + 9 = z + 29. Let o be 6/(-15)*t - 0. Factor 136*b + 28*b**4 - 190*b**3 - 32 + 24*b**4 - 72*b**2 - o*b**4.
2*(b - 4)*(b + 1)*(5*b - 2)**2
Let o(a) be the third derivative of -35*a**2 - 5/48*a**4 + 0*a + 25/24*a**3 + 1/240*a**5 + 0. Factor o(k).
(k - 5)**2/4
Suppose -637*c - 89686 = -92234. Let -30*v**2 + 63/2*v**5 + 0*v + 0 + 54*v**3 + 339/2*v**c = 0. What is v?
-5, -2/3, 0, 2/7
Let m(k) = 36*k**2 + 376*k + 1292. Let l(c) = 11*c**2 + 126*c + 432. Let h(v) = -7*l(v) + 2*m(v). Find x, given that h(x) = 0.
-22, -4
Let x(l) be the first derivative of 6*l + 51 + 1/3*l**3 - 7/2*l**2. Factor x(f).
(f - 6)*(f - 1)
Let r(q) = -2*q**3 - 38*q**2 + 58*q + 1104. Let f be r(-19). Factor -128/3*g**4 + 704/3*g**3 + 440*g - 1448/3*g**f - 150.
-2*(2*g - 3)**2*(4*g - 5)**2/3
Let b(r) be the first derivative of r**3 - 669*r**2/2 - 672*r - 1322. Find u such that b(u) = 0.
-1, 224
Factor 0*w + 0*w**3 + 4/17*w**4 + 2/17*w**5 + 0 + 0*w**2.
2*w**4*(w + 2)/17
Let x(m) = -4*m**4 - 82*m**3 + 99*m**2 - 125*m + 49. Let z(r) = -2*r**4 - 36*r**3 + 49*r**2 - 63*r + 25. Let f(q) = -3*x(q) + 7*z(q). Factor f(y).
-2*(y - 2)*(y - 1)**2*(y + 7)
Suppose -3*i - 69 = p - 4*p, -3*p + 4*i = -71. Suppose 77*q + 6*q**3 + p*q**2 + 4 - 2*q**4 - 23*q**2 - 83*q = 0. Calculate q.
-1, 1, 2
Factor 2*u**2 + 1/5*u**3 + 12 - 71/5*u.
(u - 4)*(u - 1)*(u + 15)/5
Let o(w) = 2*w**2 - 82*w + 5. Let i be o(41). Suppose n = -f + 3, 3*f - 11 = i*n - 9*n. Factor 2/3*v - 1/3*v**2 + f.
-(v - 3)*(v + 1)/3
Let v(c) be the third derivative of c**9/336 + c**8/80 - c**7/210 - 29*c**4/12 + 33*c**2 + 3*c. Let g(f) be the second derivative of v(f). Factor g(x).
3*x**2*(x + 2)*(15*x - 2)
Let x(f) be the second derivative of f**5/20 - f**4/4 - 2*f**3/3 - 7*f + 50. Factor x(t).
t*(t - 4)*(t + 1)
Let b(x) be the third derivative of 1/630*x**7 - 9 - 1/1008*x**8 + 0*x**4 + 0*x**5 - 4*x**2 + 0*x**3 + 0*x + 1/30*x**6. What is h in b(h) = 0?
-3, 0, 4
Let a(t) be the first derivative of t**6/27 + 2*t**5/5 - t**4/3 - 92*t**3/27 + 23*t**2/3 - 6*t + 3100. Factor a(q).
2*(q - 1)**3*(q + 3)*(q + 9)/9
Let u(a) be the third derivative of -a**5/80 + 37*a**4/32 - 33*a**3/2 - 2989*a**2. Factor u(i).
-3*(i - 33)*(i - 4)/4
Let z be 3*4/120*-2*-3. Let l be 42 - 54 - (-126)/10. Solve -9/5*t**2 - l - z*t**3 - 9/5*t = 0.
-1
Let h(j) be the first derivative of 0*j - 9/4*j**2 - 3/20*j**5 - 38 - 13/4*j**3 - 3/2*j**4. Factor h(k).
-3*k*(k + 1)**2*(k + 6)/4
Let c(t) = -4*t + 16. Let f be c(5). Let b(d) = 16*d**3 - 12*d**2 - 4*d. Let v(s) = -17*s**3 + 12*s**2 + 5*s. Let r(a) = f*v(a) - 6*b(a). Solve r(h) = 0.
-1/7, 0, 1
Let f be 87/(-5)*-1 - (2811 - 2794). Suppose 2*z + 3*z - 10 = 0. Factor 2/5*q**z + f*q - 4/5.
2*(q - 1)*(q + 2)/5
Let b(o) = 3*o**4 + 5*o**3 + 17*o**2 - 31*o + 11. Let g(f) = -f**4 - 2*f**3 - 9*f**2 + 16*f - 6. Let a = -392 + 390. Let u(c) = a*b(c) - 5*g(c). Factor u(l).
-(l - 2)*(l - 1)**2*(l + 4)
Determine l so that -252300*l - l**4 + 26034*l**3 + 4*l**4 - 24297*l**3 + 250560*l**2 = 0.
-290, 0, 1
Let v be (-8)/((-16)/50) - 4. Let o be ((-32)/(-42))/(1*14/v). Factor 12/7*a**3 - 2/7*a**4 + 24/7*a - o - 26/7*a**2.
-2*(a - 2)**2*(a - 1)**2/7
Let c be 2/4 - 11/30. Suppose 972*i - 817 - 677 = 891 - 441. Factor 0 + 4/15*l - c*l**i.
-2*l*(l - 2)/15
Suppose -474*m + 3625 = -262 + 95. Factor -m*h + 16/3*h**3 + 0 - 4/3*h**4 - 4/3*h**2.
-4*h*(h - 3)*(h - 2)*(h + 1)/3
Let w(p) be the second derivative of p**6/15 - 7*p**5/5 + 10*p**4/3 + 56*p**3/3 - 96*p**2 - 254*p - 2. Factor w(y).
2*(y - 12)*(y - 2)**2*(y + 2)
Let o be -3 - (34/(-11) - (-162)/(-1782)). Factor -2/11*c**2 + o*c**3 - 4/11*c + 0.
2*c