8788/3 + 4/3*p**3 + 676*p + 52*p**2 = 0.
-13
Let r(h) be the second derivative of -h**6/20 + 3*h**5/8 + 3*h**4/8 - 45*h**3/4 + 81*h**2/2 + 8*h - 5. Determine d, given that r(d) = 0.
-3, 2, 3
Suppose 0 = 3*k - 6 + 3. Factor -k + 12*d + 5*d**2 - 47*d + 1.
5*d*(d - 7)
Suppose -4*d + 31 - 7 = 0. Let a be (-1)/d*3*12/(-27). Factor 0 - 4/9*u + a*u**3 + 2/9*u**2.
2*u*(u - 1)*(u + 2)/9
Let p = -14 - -14. Suppose p = 5*j - 15. Solve 2*t**j - 3*t**2 + 0*t**2 + 2*t**4 - t**2 = 0.
-2, 0, 1
Let h(q) = -58*q - 4870. Let w be h(-84). Find p such that 0*p + 0 - 1/3*p**3 + 1/3*p**4 + 1/3*p**5 - 1/3*p**w = 0.
-1, 0, 1
Let u(g) = 4*g**4 - 15*g**3 - 12*g**2 + 44*g - 27. Let t(p) = 44*p**4 - 164*p**3 - 132*p**2 + 484*p - 296. Let s(a) = 3*t(a) - 32*u(a). Factor s(d).
4*(d - 3)*(d - 1)**2*(d + 2)
Suppose 0*w + 2*w = 16. Let y(j) = -w*j - j**2 - j + 8*j. Let k(z) = z**2 - 11*z - 12. Let r(d) = -k(d) - 5*y(d). Solve r(p) = 0.
-3, -1
Let v be (-1)/(-4) - 21/84. Suppose 2*l - 15 = -3*f, v = f - l + 3*l - 5. Factor 9 + 16*a - 18*a - 2*a**2 - f.
-2*(a - 1)*(a + 2)
Let d(f) = f**2 + 15*f + 3. Let v(r) = -5*r**2 - 105*r - 20. Let s(w) = 20*d(w) + 3*v(w). Determine i so that s(i) = 0.
0, 3
Let f(a) = 808*a**3 + 2488*a**2 + 1757*a + 77. Let k(y) = -269*y**3 - 829*y**2 - 586*y - 26. Let p(n) = 6*f(n) + 17*k(n). Factor p(q).
5*(q + 1)*(q + 2)*(55*q + 2)
Suppose -8 = -2*l - 4. Find k such that -2*k**4 + 134*k**5 - 133*k**5 - k**3 + k**4 + 3*k**4 - l*k**2 = 0.
-2, -1, 0, 1
Let a(f) be the second derivative of -5*f**7/42 + f**6 - 13*f**5/4 + 5*f**4 - 10*f**3/3 + 2*f - 65. Let a(i) = 0. Calculate i.
0, 1, 2
Suppose 10*o - 25*o + 45 = 0. Suppose 3*z = -5*f + 3 + 1, -f - 5*z = 8. Determine t, given that 1/2*t**2 + t - f - 1/4*t**o = 0.
-2, 2
Let p(a) be the second derivative of a**6/6 + 155*a**5/2 + 40555*a**4/4 + 119350*a**3/3 + 59290*a**2 - a + 548. Factor p(u).
5*(u + 1)**2*(u + 154)**2
Let b = 16383/38129 - 6/5447. Factor 3/7*h**5 - 3/7*h**4 + 0*h - 3/7*h**3 + b*h**2 + 0.
3*h**2*(h - 1)**2*(h + 1)/7
Suppose 8*w + 9 + 15 = 0. Let s be ((-1)/w)/((-282)/(-36) + -7). Factor s*i**2 - 2/5 + 0*i.
2*(i - 1)*(i + 1)/5
Suppose 1/2*o + 1/4*o**4 - 1/2*o**3 + 2 - 9/4*o**2 = 0. What is o?
-2, -1, 1, 4
Suppose -4*n + 2*n - 2 = -3*x, -2*n = -5*x + 6. Let m be (2 + 1)/(-4 - (-6 + 1)). What is r in -3/2*r**x + 9/2*r - m = 0?
1, 2
Let g(z) = -13*z**4 + 6*z**3 + 10*z**2 - z + 3. Let y(p) = -12*p**4 + 6*p**3 + 10*p**2 - 2*p + 2. Let s = -103 + 98. Let l(h) = s*y(h) + 4*g(h). Factor l(f).
2*(f - 1)**2*(f + 1)*(4*f + 1)
Let c(o) = o**4 - o**3 + o**2 + o. Let z(s) = 4*s**5 + 54*s**4 + 126*s**3 + 194*s**2 + 126*s + 28. Let p(g) = -10*c(g) + z(g). Factor p(j).
4*(j + 1)**4*(j + 7)
Let x = -541 - -541. Let i(u) be the third derivative of -1/24*u**4 + u**2 + x*u + 0 + 0*u**3 + 1/120*u**6 + 1/210*u**7 - 1/60*u**5. Solve i(l) = 0 for l.
-1, 0, 1
Let r be ((-12)/(-1260))/((-18)/(-63)). Let t(m) be the second derivative of -1/12*m**4 + 0 + 0*m**5 + 13*m + 0*m**3 + r*m**6 + 0*m**2. Factor t(h).
h**2*(h - 1)*(h + 1)
Suppose -2*t - 324 = 3*w - t, -w + 4*t - 121 = 0. Let c = w + 112. Factor 1/2*n**c + 5/2*n - 1 - 2*n**2.
(n - 2)*(n - 1)**2/2
Let l = 18 + -15. Let h = 202/155 + -28/31. Factor -4/5*t**2 - h*t**l + 0 + 2/5*t**4 + 0*t.
2*t**2*(t - 2)*(t + 1)/5
Let z(y) be the second derivative of -y**9/90720 - y**8/10080 - y**7/3024 - y**6/2160 + 7*y**4/3 - 16*y. Let t(m) be the third derivative of z(m). Factor t(k).
-k*(k + 1)**2*(k + 2)/6
Suppose -2/7*i**3 - 30/7 - 34/7*i**2 - 62/7*i = 0. What is i?
-15, -1
Let v(w) be the third derivative of w**8/672 + 23*w**7/420 - 17*w**6/40 + 79*w**5/60 - 107*w**4/48 + 9*w**3/4 + 4*w**2. Factor v(u).
(u - 1)**4*(u + 27)/2
Let k(i) = 2*i**4 + 2*i**3 - 104*i**2 - 232*i - 120. Let p(a) = 5*a**3 + a**2. Let d(v) = k(v) + 2*p(v). Factor d(h).
2*(h - 6)*(h + 1)**2*(h + 10)
Suppose 4*m = -3*w + 144, -6*w + 240 = -w + 2*m. Let y be (6/(-8))/((-6)/w). Determine o so that 6*o**2 - y*o**2 - 9*o**2 + 3*o**3 = 0.
0, 3
Let f(l) be the third derivative of 11*l**2 + 1/780*l**6 + 1/390*l**5 + 0*l**4 + 0*l + 0*l**3 + 0. Factor f(x).
2*x**2*(x + 1)/13
Let r(m) be the first derivative of 0*m + 35 - 1/12*m**4 - 2/9*m**3 + 0*m**2 + 1/15*m**5. Suppose r(d) = 0. What is d?
-1, 0, 2
Let r(p) = p**4 - 41*p**3 - 101*p**2 - 85*p - 5. Let y(b) = 20*b**3 + 50*b**2 + 42*b + 2. Let w(t) = 2*r(t) + 5*y(t). Factor w(j).
2*j*(j + 2)**2*(j + 5)
Let u(q) be the first derivative of q**6 + 3*q**5 + 99*q**4/32 + 5*q**3/4 + 3*q**2/16 - 89. Factor u(d).
3*d*(d + 1)**2*(4*d + 1)**2/8
Let d(n) be the second derivative of 0 - 6*n**2 - 2*n**3 - 1/4*n**4 - 16*n. Factor d(o).
-3*(o + 2)**2
Let p = -7533/2 + 3767. Let -2 + 0*x + p*x**2 = 0. What is x?
-2, 2
Let f be (-2 + 2)/(58 - 55). Factor 2/9*i + f + 2/9*i**2.
2*i*(i + 1)/9
Let n(m) be the second derivative of m**9/1890 + m**8/1680 - m**7/315 - m**6/180 + 7*m**4/12 + 12*m. Let q(v) be the third derivative of n(v). Factor q(j).
4*j*(j - 1)*(j + 1)*(2*j + 1)
Suppose -b - 7*b = -16. Let -5*r**5 + 10*r**5 + r**5 + 5*r**b - 15*r**4 + 4*r**5 = 0. What is r?
-1/2, 0, 1
Let p(z) be the first derivative of -z**4/18 - 40*z**3 - 10800*z**2 - 1296000*z + 779. Suppose p(q) = 0. Calculate q.
-180
Let l(u) be the third derivative of -u**8/2184 + u**7/273 - u**6/260 - 17*u**5/390 + 7*u**4/39 - 4*u**3/13 + 82*u**2. Find b such that l(b) = 0.
-2, 1, 2, 3
Determine l, given that -3*l**2 + 0*l**5 - 250*l**3 + l**5 - 2*l**4 + 11*l**2 + 246*l**3 = 0.
-2, 0, 2
Let d(m) be the second derivative of 3/160*m**5 + 0 + 16*m - 1/16*m**3 - 1/16*m**4 + 3/8*m**2. Solve d(b) = 0.
-1, 1, 2
Suppose -2*c - 5 = 3*j - 3, -5*c + 33 = -2*j. Suppose c*z - 3*d + 5 = 0, 12 = 10*z - 9*z + 2*d. Factor -3/4*i + 3/2*i**z - 3/4.
3*(i - 1)*(2*i + 1)/4
Factor -3950/3*l - 2500/3 - 304/3*l**2 - 2*l**3.
-2*(l + 25)**2*(3*l + 2)/3
Let l(x) be the second derivative of -x**7/189 + x**6/27 - 7*x**5/90 - x**4/54 + 8*x**3/27 - 4*x**2/9 - 3*x + 27. Find v, given that l(v) = 0.
-1, 1, 2
Let c be 5*1*(-324)/(-50). Let r = c - 32. Suppose -4/5*t + 2/5 + r*t**2 = 0. Calculate t.
1
Let f(s) be the first derivative of 0*s**2 + 1 + 1/6*s**3 + 1/12*s**4 + 7*s. Let x(o) be the first derivative of f(o). Factor x(d).
d*(d + 1)
Let k be 3 + 12/(-2) - (-5 - 2). Let s(c) be the first derivative of -1/9*c**6 + 14/9*c**3 - 2/3*c**2 + 2/3*c**5 - 3/2*c**k + 0*c - 7. Factor s(p).
-2*p*(p - 2)*(p - 1)**3/3
Let k(x) = x**2 - x. Let l(h) be the second derivative of h**4/2 + 9*h**3/2 + 75*h**2/2 - 22*h. Let w(d) = 3*k(d) - l(d). Let w(c) = 0. What is c?
-5
Let w be -5 - 76/(-12) - (-5)/3. Let b(k) be the first derivative of 2/5*k**5 - 6 + 0*k + 1/2*k**4 - k**2 - 2/3*k**w. Factor b(j).
2*j*(j - 1)*(j + 1)**2
Let v(b) be the third derivative of -8*b**2 + 0*b**5 + 0*b**4 + 0*b + 0*b**3 - 1/160*b**6 + 0. Factor v(x).
-3*x**3/4
Let o(f) be the second derivative of -f**5 + 44*f**4/3 - 62*f**3/3 - 16*f**2 - 44*f. Find g, given that o(g) = 0.
-1/5, 1, 8
Let z be ((-4)/(-10))/(3/90). Suppose 0 = -4*v + 5*n + 13, -3*v + z = 2*v - 2*n. Factor 1/3*q**5 + 0*q**4 - 1/3*q**3 + 0*q + 0 + 0*q**v.
q**3*(q - 1)*(q + 1)/3
Let p(c) be the second derivative of c**7/42 + c**6/8 + c**5/6 - 2*c**2 - c. Let z(k) be the first derivative of p(k). Factor z(a).
5*a**2*(a + 1)*(a + 2)
Let r(p) = 4*p**2 + 4*p. Let b(x) = -22*x**2 - 18*x. Let s(t) = -3*b(t) - 16*r(t). Factor s(o).
2*o*(o - 5)
Let j(h) = h**3 - h**2 - h. Let f = -5 - -3. Let k be -3*(3 + f - 0). Let l(a) = 2*a**2 - 3. Let v(o) = k*j(o) + 3*l(o). Suppose v(g) = 0. What is g?
-1, 1, 3
Suppose 24/7*v - 2/7*v**5 + 16/7*v**2 - 16/7*v**4 + 0 - 22/7*v**3 = 0. What is v?
-6, -2, -1, 0, 1
Let a(g) = 51*g**2 + 219*g + 480. Let u(n) = -5*n**2 - 22*n - 48. Let k(l) = l**2 + 7*l - 10. Let r be k(-8). Let x(w) = r*a(w) - 21*u(w). Solve x(z) = 0 for z.
-4
Suppose -y = 23*n - 19*n - 7, 2*n + y = 1. Factor 0*b - 1/5*b**n + 0 + 2/5*b**2.
-b**2*(b - 2)/5
Let q(d) be the second derivative of -d**5/10 - 19*d**4/6 - 55*d**3/3 + 363*d**2 + 96*d. Solve q(w) = 0.
-11, 3
Let w = 3/3238 + 6455/22666. Factor -4/7*n**3 - 2/7*n**4 + 4/7*n + w + 0*n**2.
-2*(n - 1)*(n + 1)**3/7
Let b(w) be the first derivative of 0*w**2 - 1/150*w**5 + 1/45*w**3 - 7*w + 0*w**4 + 8. Let u(q) be the first derivative of b(q). Suppose u(a) = 0. What is a?
-1, 0, 1
Let w