 - 1)**2*(j + 1)**2/3
Let q(x) = -2*x**2 - 9*x + 53. Let j(i) = i**2 + 11*i - 54. Let v(k) = -3*j(k) - 2*q(k). What is d in v(d) = 0?
7, 8
Let n = 59 - 58. Let j be n + 6 + 9/(3*-1). Suppose -2/3 + 4/3*s**3 - j*s**4 - 7/3*s**5 + 14/3*s**2 + s = 0. What is s?
-1, 2/7, 1
Let o(f) = -f**2 - 5. Let i(u) = -u - 6. Let p(g) = g**2 - 4*g - 18. Let w(v) = 7*i(v) - 2*p(v). Let r(j) = -3*o(j) + 2*w(j). Factor r(l).
-(l - 3)*(l + 1)
Suppose 1 - 11/6*j - 1/6*j**3 + 1/2*j**4 - 7/2*j**2 = 0. Calculate j.
-2, -1, 1/3, 3
Let v be 45/72*(-1)/(-20). Let n = 35/96 - v. Factor n*i**5 + 0 - 1/3*i**2 - 1/3*i**3 + 1/3*i**4 + 0*i.
i**2*(i - 1)*(i + 1)**2/3
Let z(u) be the second derivative of u**4/28 + u**3/7 - 297*u**2/14 + 731*u. Determine p so that z(p) = 0.
-11, 9
Suppose 55*d = -55*d + 138*d - 56. Suppose 2 + 2/11*i**d - 24/11*i = 0. What is i?
1, 11
Let f be 2*6/42*7. Let m(y) be the second derivative of y + 0*y**f + 0 + 0*y**4 + 1/15*y**5 - 1/9*y**6 + 0*y**3. Suppose m(a) = 0. Calculate a.
0, 2/5
Let x(j) be the third derivative of -j**5/80 + 13*j**4/32 - 3*j**3/2 - 143*j**2. Suppose x(t) = 0. What is t?
1, 12
Let z be (0 - 2/(-13)) + 76/(-494). Let d(l) be the first derivative of -3*l**4 - 2/3*l**2 + 8/3*l**3 + 4 + z*l. Determine y so that d(y) = 0.
0, 1/3
Let f(n) = n**3 - 4*n**2 + 3*n + 4. Let b be f(3). Factor x**2 - b*x**3 + 3*x**2 - 6 + 6.
-4*x**2*(x - 1)
Let s(j) = -6*j**2 + 38*j + 44. Let h(x) = 10*x**2 - 78*x - 88. Let z(u) = 4*h(u) + 7*s(u). Factor z(o).
-2*(o + 1)*(o + 22)
Let x(h) = 2*h - 33. Let s be x(18). Suppose -s = w - 7. Suppose -8/9 - 8/9*m + 10/3*m**2 - 4/9*m**3 - 10/9*m**w = 0. Calculate m.
-2, -2/5, 1
Let d(z) be the second derivative of z**4/28 + z**3/14 - 18*z**2/7 + 3*z + 65. Let d(b) = 0. Calculate b.
-4, 3
Let b(m) be the second derivative of -m**6/345 + 2*m**5/115 - 2*m**4/69 + 144*m. Let b(y) = 0. Calculate y.
0, 2
Suppose -3 = -k - 2*w + 10, w - 8 = -k. Let c be (3/1 - 3)*(-3 + 4). Factor -2/5*h**4 + 0*h + c + 2/5*h**5 + 0*h**2 + 0*h**k.
2*h**4*(h - 1)/5
Let h(j) = j - 8. Let z be h(11). Suppose 105*g**4 - 106*g**4 + 5*g**3 - 5*g**z + g**2 = 0. Calculate g.
-1, 0, 1
Factor -3/5*o + 0 + 7/5*o**2 - o**3 + 1/5*o**4.
o*(o - 3)*(o - 1)**2/5
Let t(l) be the third derivative of 0*l**4 + 1/140*l**6 + 1/245*l**7 + 0*l + 36*l**2 + 1/1176*l**8 + 1/210*l**5 + 0*l**3 + 0. Find n such that t(n) = 0.
-1, 0
Let k be 2 - (-16)/(-2) - 837/(-135). Determine v so that k*v**2 - 2/5*v + 1/5 = 0.
1
Suppose p + 15 = 4*p. Factor -h**5 - 20*h**3 - 20*h**2 + 7*h**p + 0*h**4 - h**5 + 5*h**4.
5*h**2*(h - 2)*(h + 1)*(h + 2)
Suppose -49 = -5*j + 11. Factor j*z**2 - 4 + 10*z - z - z.
4*(z + 1)*(3*z - 1)
Let n(d) be the third derivative of 5/9*d**3 + 1/36*d**4 + 0 - 1/18*d**5 + 0*d - 1/180*d**6 - 2*d**2. Factor n(p).
-2*(p - 1)*(p + 1)*(p + 5)/3
Let k = -61 + 65. Factor 2 + 3*w**3 - w**k + w**4 - w**2 - w**4 - 3*w.
-(w - 2)*(w - 1)**2*(w + 1)
Factor -9/5*p + 27/5 - 3*p**2 - 3/5*p**3.
-3*(p - 1)*(p + 3)**2/5
Let r = 22 - -12. Let o = -40 + 42. Factor o*j - 4*j**2 - r*j + 22 + 12*j**3 - 2 - 36.
4*(j - 2)*(j + 1)*(3*j + 2)
Let i(n) be the second derivative of 4*n**6/225 - 7*n**5/50 - 3*n**4/10 + 56*n**3/45 - 4*n**2/5 + 886*n. Determine j so that i(j) = 0.
-2, 1/4, 1, 6
Suppose 7 + 1 = 4*g. Factor -82*b**2 + g*b - 2*b**3 + 37*b**2 + 45*b**2.
-2*b*(b - 1)*(b + 1)
Let r be 46/16 + 3/(-8). Let a = 4 - r. Factor 15/4*c - 3*c**2 - a + 3/4*c**3.
3*(c - 2)*(c - 1)**2/4
Let j = -28 + 31. Suppose -5*i + k + 2 + j = 0, -19 = -2*i - 3*k. Determine z, given that -3/4*z + 0*z**4 + 1/2*z**i - 1/4*z**5 - 1/2 + z**3 = 0.
-1, 1, 2
Let y = 86/7 - 760/63. Suppose -8 = 47*q - 51*q. Let -2/3*s**3 - 4/9*s**q + 0 - y*s**4 + 0*s = 0. Calculate s.
-2, -1, 0
Let s(p) be the first derivative of -2*p**6/3 + 128*p**5/5 - 222*p**4 - 2176*p**3/3 - 578*p**2 - 46. Factor s(q).
-4*q*(q - 17)**2*(q + 1)**2
Let n(s) be the first derivative of s**5/40 + s**4/8 + s**3/12 - s**2/4 - 3*s/8 + 173. Factor n(b).
(b - 1)*(b + 1)**2*(b + 3)/8
Let t be (-11)/(3 - 2) - (-25806)/2277. Factor 4/3 + 4/3*q + t*q**2.
(q + 2)**2/3
Factor 0*d - 1/5*d**2 + 1/5.
-(d - 1)*(d + 1)/5
Let q(b) be the first derivative of -14*b**2 + 3*b**4 + 4*b**3 - 4/5*b**5 - 27 - 24*b. Factor q(u).
-4*(u - 3)*(u - 2)*(u + 1)**2
Find r, given that -7044*r**2 - 2*r**3 + 7038*r**2 + 2*r**4 - 2*r**3 = 0.
-1, 0, 3
Let b(z) be the second derivative of 0*z**4 - 1/168*z**7 + 0*z**5 + 0*z**2 + 0*z**6 + 0 + 0*z**3 + 20*z. Let b(c) = 0. What is c?
0
Let g = -7 + 11. Let b(l) = l**2 + l. Let q(a) = -a**3 - 5*a**2 - 23*a + 1. Let k(m) = g*b(m) - q(m). Let o(t) be the first derivative of k(t). Factor o(d).
3*(d + 3)**2
Let q = 39/10 - 31/10. Let y = -528/5 - -106. Suppose -y - 2/5*w**2 + q*w = 0. What is w?
1
Let r(z) = -z**5 + 2*z**4 - 2*z**2 + z - 3. Let l(u) = -u**4 + u**3 + u**2 - u + 1. Let t(m) = -6*l(m) - 2*r(m). What is i in t(i) = 0?
-2, -1, 0, 1
Let m(d) = 7 - 3*d - 6 + d**2 + 4*d - d**5. Let y(k) = k**5 - 20*k**4 + 15*k**3 + 24*k**2 - 16*k + 4. Let r(v) = -4*m(v) + y(v). Determine g so that r(g) = 0.
-1, 0, 1, 2
Let s(x) = x**3 + 73*x**2 + 1591*x + 12163. Let n(a) = -a**2 - a + 1. Let q(t) = 20*n(t) + 5*s(t). Factor q(u).
5*(u + 23)**3
Let w(o) = o - 4. Let z(f) = 2*f**2 + 76*f + 168. Let r(n) = 4*w(n) + z(n). Factor r(j).
2*(j + 2)*(j + 38)
Let i(q) be the first derivative of -q**5/300 + q**4/20 + 7*q**3/30 - 3*q**2 + 18. Let j(u) be the second derivative of i(u). Find w, given that j(w) = 0.
-1, 7
Let j be -1 + (-135)/35 + -7 + 13. Factor -2/7*b**3 - j*b + 8/7*b**2 + 0.
-2*b*(b - 2)**2/7
Let n(x) be the first derivative of -x**3 - 30*x**2 + 132*x + 120. Factor n(y).
-3*(y - 2)*(y + 22)
Let o(g) be the first derivative of g**6/9 + 26*g**5/45 + 8*g**4/9 + 8*g**3/27 + 56. Solve o(d) = 0 for d.
-2, -1/3, 0
Let s(i) be the second derivative of -i**9/20160 + 3*i**8/8960 - i**6/240 + 3*i**4/4 - i. Let c(r) be the third derivative of s(r). Find d such that c(d) = 0.
-1, 0, 2
Let x(j) = j - 1. Let n(p) = -3*p + 3. Let o(i) = -2*n(i) - 5*x(i). Let g(v) = -5*v**2 - 19*v + 4. Let b(u) = -g(u) - 4*o(u). Factor b(m).
5*m*(m + 3)
Let p be (6 + (1 - -7 - 15))*-2. Factor 45/4 - 15/2*y + 5/4*y**p.
5*(y - 3)**2/4
Let o(z) be the second derivative of z**6/120 - 3*z**5/20 + 3*z**4/4 + 73*z + 1. Solve o(k) = 0.
0, 6
Solve -2/3*j**5 - 8/3*j - 4/3*j**4 + 20/3*j**2 - 16/3 + 10/3*j**3 = 0.
-2, -1, 1, 2
Let 17*p**4 - 7/3*p**5 - 40/3*p + 28*p**2 + 0 + 182/3*p**3 = 0. Calculate p.
-2, -1, 0, 2/7, 10
Factor 9/4*y + 3/4*y**4 - 9/4*y**3 + 3/4*y**2 - 3/2.
3*(y - 2)*(y - 1)**2*(y + 1)/4
Determine t so that -1/5*t**4 + 14/5*t**3 + 0 + 16/5*t + 31/5*t**2 = 0.
-1, 0, 16
Let x(n) be the third derivative of 1/12*n**4 - 1/60*n**5 + 0*n**3 + 5*n**2 + 0 + 0*n. Find f, given that x(f) = 0.
0, 2
Let b(v) be the first derivative of 1/2*v + 1/2*v**2 + 1/6*v**3 - 20. Suppose b(s) = 0. What is s?
-1
Let s(k) be the first derivative of k**9/5040 + 3*k**8/2800 - k**6/150 + 3*k**3 + 28. Let j(y) be the third derivative of s(y). What is p in j(p) = 0?
-2, 0, 1
Let q(x) be the second derivative of 16*x**2 - 14*x + 1/6*x**4 + 0 - 8/3*x**3. Factor q(v).
2*(v - 4)**2
Let z(s) be the first derivative of s**5/10 - 3*s**4/8 - 5*s**3/6 + 3*s**2/4 + 2*s + 79. Find a such that z(a) = 0.
-1, 1, 4
Let r(d) = -d**3 - 13*d**2 + 15*d + 23. Let z be r(-14). Factor 8*k**5 + k**4 + 20*k**2 + z*k**5 - 22*k**5 - 16*k**4.
-5*k**2*(k - 1)*(k + 2)**2
Let o = 149/372 - -1/62. Let y(c) be the third derivative of 0*c + o*c**4 + 2/3*c**3 + 0 - c**2 - 7/30*c**5. Factor y(w).
-2*(w - 1)*(7*w + 2)
Suppose 5*p = 2*a + 18, 3*p - 25 = -2*p - 5*a. Solve -256*d**p + 4*d - 40 + 0*d + 40 - 48*d**2 + 192*d**3 = 0 for d.
0, 1/4
Factor -70/3 - 145/2*g**2 - 5/6*g**4 - 425/6*g - 155/6*g**3.
-5*(g + 1)**3*(g + 28)/6
Let s(j) = j**3 + j**2 - j + 2. Let t(y) = 7*y**3 + 3*y**2 + 20*y + 48. Let b(k) = 8*s(k) - t(k). Factor b(l).
(l - 4)*(l + 1)*(l + 8)
Let v be 27/62 - 2/4. Let b = v + 72/155. Let 4/5 - b*d - 2*d**3 - 16/5*d**2 = 0. What is d?
-1, 2/5
Let t(f) be the third derivative of -f**5/330 - 5*f**4/132 - 4*f**3/33 + 116*f**2 + f. Factor t(q).
-2*(q + 1)*(q + 4)/11
Determine b, given that -2*b**2 + 27*b - 119 + 95 - b**2 = 0.
1, 8
Let d(r) = -3*r**4 - 4*r**2. Let i(l) = -2*l**4 - 3*l**2. Let s be (-3 + 3 + 0)/(-3). Let k = s + 