2
Factor -6534 - 5978 - b - 4*b**2 - 5984 - 543*b.
-4*(b + 68)**2
Let m(h) be the first derivative of h**4/4 + 59*h**3/3 + 899*h**2/2 + 841*h + 68. Factor m(p).
(p + 1)*(p + 29)**2
Let n(r) = -367*r + 1106. Let h be n(3). Find q, given that -1/4*q**2 - 1/8*q**h + 1/8*q + 0*q**3 + 0 + 1/4*q**4 = 0.
-1, 0, 1
Let n(t) = t**4 + t**3 - t - 1. Let d(j) = 9*j**3 + 21*j**2 + j - 11. Let s(b) = -3*d(b) + 21*n(b). Let s(o) = 0. Calculate o.
-1, 2/7, 2
Let r = 11474 - 11471. Suppose -4/5*m**4 + 0 + 0*m**2 + 0*m - 3/5*m**r - 1/5*m**5 = 0. What is m?
-3, -1, 0
Let w(m) be the first derivative of -m**6/270 + m**5/30 - m**4/9 - 3*m**3 + 1. Let x(c) be the third derivative of w(c). Find b such that x(b) = 0.
1, 2
Let i = -86 - -88. Let c be 2/10 + 18/10. Determine q so that -6*q**c - q**i + 5*q**2 = 0.
0
Factor -48*p**2 - 43*p**2 - 172*p - 4*p**2 - 20 - 238*p - 100.
-5*(p + 4)*(19*p + 6)
Let k = 29 - 29. Suppose k = 3*i + o - 22, -2*o + 20 = 3*i - 0*o. Factor -4*p**3 + p**3 + 3*p + 8 - i.
-3*p*(p - 1)*(p + 1)
Let d(u) be the second derivative of -u**4/16 + 5*u**3/4 - 27*u**2/8 + 98*u. Factor d(n).
-3*(n - 9)*(n - 1)/4
Let y(k) be the first derivative of -2*k**7/245 - 9*k**6/280 - 3*k**5/70 - k**4/56 - 11*k**2 + 21. Let p(s) be the second derivative of y(s). Factor p(t).
-3*t*(t + 1)**2*(4*t + 1)/7
Factor -7*q - q**3 + 2*q - 3*q**3 + 9*q**3.
5*q*(q - 1)*(q + 1)
Let j = 10144 - 10140. Find u, given that 0 - 1/4*u + 1/2*u**3 + 0*u**j - 1/4*u**5 + 0*u**2 = 0.
-1, 0, 1
Let m(p) be the second derivative of 25*p + 9/10*p**3 + 0 - 9/25*p**5 - 1/5*p**6 + 3/70*p**7 - 6/5*p**2 + 7/10*p**4. Let m(h) = 0. Calculate h.
-1, 1/3, 1, 4
Let d(k) be the first derivative of 28*k**3/9 - 94*k**2/3 - 56*k/3 - 75. Determine y so that d(y) = 0.
-2/7, 7
Let o = -316 + 323. Let p(v) be the third derivative of 1/45*v**6 - 4/9*v**3 + 3*v**2 - 1/9*v**4 + 1/30*v**5 + 0 + 0*v + 1/315*v**o. Factor p(s).
2*(s - 1)*(s + 1)*(s + 2)**2/3
Let i(w) be the first derivative of w**4/26 + 98*w**3/13 + 7203*w**2/13 + 235298*w/13 + 19. Solve i(p) = 0.
-49
Let k(x) = 3*x + 6. Let f be (4/6)/(3/(-9)). Let q be k(f). Solve q + 10/13*v**3 - 6/13*v**5 + 10/13*v**4 - 4/13*v - 10/13*v**2 = 0.
-1, -1/3, 0, 1, 2
Let j(t) be the first derivative of -25/12*t**3 - 24 + 0*t + 0*t**2 - 5/16*t**4. Let j(u) = 0. What is u?
-5, 0
Solve -9/2*u**2 - 7/4*u**3 - 1/4*u**4 - 2 - 5*u = 0 for u.
-2, -1
Let a = 949/630 + -2/315. Let c(r) be the first derivative of -1 + 1/3*r**6 + 0*r**2 + 2/3*r**3 + 6/5*r**5 + a*r**4 + 0*r. Factor c(x).
2*x**2*(x + 1)**3
Let p = 13 - 9. Suppose q + p*w - 70 = -9, -4*q + 210 = -w. Factor 3*f**3 + 44*f - 9 - q*f + 3.
3*(f - 2)*(f + 1)**2
Let c(n) be the third derivative of n**6/780 - 17*n**5/390 - 3*n**4/26 - 441*n**2. Factor c(m).
2*m*(m - 18)*(m + 1)/13
Let c be ((-22)/440)/((-12)/2). Let l(z) be the second derivative of -3/16*z**4 - 1/16*z**5 - 1/4*z**2 - 7/24*z**3 + 3*z + 0 - c*z**6. Factor l(p).
-(p + 1)**3*(p + 2)/4
Let q(j) = 27*j**2 + 300*j - 99. Let x(u) = -13*u**2 - 151*u + 50. Let f(c) = 4*q(c) + 9*x(c). Let f(t) = 0. Calculate t.
-18, 1/3
Let q(k) be the second derivative of -k**4/16 - 15*k**3/8 - 27*k**2/2 - 398*k. Let q(z) = 0. Calculate z.
-12, -3
Suppose 24/7*c**4 + 0*c**2 + 0*c + 24/7*c**3 + 6/7*c**5 + 0 = 0. Calculate c.
-2, 0
Let a = 1337 + -1334. Factor 6/7*y**a + 0 + 1/7*y + 4/7*y**2 + 1/7*y**5 + 4/7*y**4.
y*(y + 1)**4/7
Suppose 4 = -482*w + 484*w. Let q(u) be the second derivative of -4/9*u**3 + 5*u + 0 - 1/6*u**4 + 4/3*u**w. What is h in q(h) = 0?
-2, 2/3
Let y(i) be the first derivative of -2*i**3 + 3*i - 3/4*i**4 + 3 + 1/10*i**6 + 6*i**2 + 3/10*i**5. Let a(v) be the first derivative of y(v). Factor a(q).
3*(q - 1)**2*(q + 2)**2
Let l(t) be the first derivative of t**3/24 - 9*t**2/16 + t + 60. Let l(c) = 0. Calculate c.
1, 8
Find i such that 62423*i**3 - 240*i - 60*i**2 - 184*i**2 - 62427*i**3 = 0.
-60, -1, 0
Let i(q) be the first derivative of -q**5/35 - 2*q**4/7 - 6*q**3/7 - 8*q**2/7 - 5*q/7 + 172. Find z, given that i(z) = 0.
-5, -1
Suppose -11*o = -6*o - 25. Factor -5*g**5 + o*g**4 - 10*g**2 - g - 4 + 9 + 10*g**3 + 0*g**2 - 4*g.
-5*(g - 1)**3*(g + 1)**2
Suppose 27/4*a**4 - 219/4*a**3 - 114*a + 505/4*a**2 - 1/4*a**5 + 36 = 0. What is a?
1, 12
Let j(q) be the first derivative of -q**3/3 + q**2/2 - q - 2. Let r(c) = -5*c**2 + 2*c - 2. Let k(u) = -6*j(u) + r(u). Suppose k(g) = 0. Calculate g.
2
Suppose -5*i = -5*m + 55, 2*i + 3 = -3*m - 9. Let g be (-80)/(-6) - 6/i. Solve -105*s**2 + 14*s**2 + 12*s - g*s**2 + 12 = 0.
-2/7, 2/5
Find r such that -119*r**2 - 43*r**3 + 40*r**3 - 5 - 191*r**2 - 337 - 687*r - 38*r**2 = 0.
-114, -1
Let i(l) = -35*l**2 - 39*l - 4. Let z(r) = 33*r**2 + 40*r + 3. Let w(s) = 5*i(s) + 6*z(s). Factor w(c).
(c + 2)*(23*c - 1)
Let t be (6*4/(-320))/(3/(-6)). Let o(f) be the first derivative of -3/8*f**2 + 0*f + t*f**5 + 3/4*f**3 + 5 - 9/16*f**4. Let o(d) = 0. Calculate d.
0, 1
Let n(o) be the second derivative of -o**7/21 + o**6/30 + o**5/2 - 5*o**4/12 - 4*o**3/3 + 2*o**2 + 52*o + 1. Determine v so that n(v) = 0.
-2, -1, 1/2, 1, 2
Let c = 3251 - 9752/3. Solve 2*f + 5/3 + c*f**2 = 0.
-5, -1
Suppose 0 = 3*b - 3*c - 30, -5 = -3*b - 3*c + 37. Let k be -4 - (b/(-2) + 2). Solve k - 1/3*m - 4/3*m**3 + 5/3*m**2 = 0 for m.
0, 1/4, 1
Let r = 1243/966 + 15/322. Factor -2/3*l**3 - r*l - 2*l**2 + 0.
-2*l*(l + 1)*(l + 2)/3
Let q(v) = -98*v - 294. Let i be q(-3). Solve i*y**2 + 0 + 1/4*y**3 + 4*y**5 - 2*y**4 + 0*y = 0.
0, 1/4
Suppose -2*q + 5*h - 105 + 89 = 0, -2*h = -8. Factor -8/5*d**3 + 6*d + 24/5*d**q + 8/5.
-2*(d - 4)*(2*d + 1)**2/5
Let k(l) be the first derivative of 3*l**4/4 - 3*l**3 - 135*l**2/2 - 243*l - 80. Factor k(w).
3*(w - 9)*(w + 3)**2
Let s(f) = -f**2 + 7*f + 9. Let p be s(10). Let k be -1 - (-81)/p - (9 + -14). Solve -k*c**3 + 5/7*c + 1/7*c**2 + 3/7 = 0 for c.
-1, 3
Determine h, given that -20*h**3 - 102*h**4 + 65*h**3 - 10*h**2 + 67*h**4 = 0.
0, 2/7, 1
Let m(f) be the first derivative of -529*f**5/40 + 1679*f**4/32 - 223*f**3/4 + 49*f**2/4 - f - 747. Determine p so that m(p) = 0.
2/23, 1, 2
Let j(n) be the second derivative of -19*n - 1/180*n**6 + 0 + 0*n**5 + 0*n**2 + 0*n**3 + 1/72*n**4. Find d such that j(d) = 0.
-1, 0, 1
Suppose 144 = 6*p - 2*p. Let m be ((-6)/(-12))/(3/p). Determine u so that -1 - 9*u**2 + 3*u**3 + m*u**2 + 4 - 4*u + u = 0.
-1, 1
Let d(p) = 5*p**4 + 104*p**3 + 673*p**2 + 1470*p - 8. Let w(c) = -70*c**4 - 1455*c**3 - 9420*c**2 - 20580*c + 110. Let f(x) = 55*d(x) + 4*w(x). Factor f(r).
-5*r*(r + 6)*(r + 7)**2
Let j(c) be the second derivative of c**7/5040 - c**6/480 + c**5/120 + 5*c**4/6 + 12*c. Let m(v) be the third derivative of j(v). Factor m(h).
(h - 2)*(h - 1)/2
Factor 0 + 2/17*g**2 + 164/17*g.
2*g*(g + 82)/17
Suppose -4 = -3*a + g, 0 = -a - a - g + 6. Suppose 4*w - 12 = -0*w + a*q, -4*w = q - 6. Determine x, given that 0 + 2/5*x**w - 2/5*x = 0.
0, 1
Let h(w) be the second derivative of -1/30*w**5 - 7/3*w**2 + 3*w + 0 + 13/9*w**3 - 5/18*w**4. Factor h(y).
-2*(y - 1)**2*(y + 7)/3
Let l(t) = 3*t**4 - 62*t**3 + 1060*t**2 - 4860*t + 6561. Let r(k) = -7*k**4 + 125*k**3 - 2119*k**2 + 9720*k - 13122. Let x(b) = -5*l(b) - 2*r(b). Factor x(f).
-(f - 27)**2*(f - 3)**2
Let s(a) = -a**2 - 12*a - 7. Let f be s(-11). Let r = 0 + f. Suppose -4*t + 3*t + r*t**3 - t**5 - 2*t**3 = 0. Calculate t.
-1, 0, 1
Let k(x) be the third derivative of x**7/5040 - x**6/480 + x**5/120 + 5*x**4/6 - 15*x**2. Let g(c) be the second derivative of k(c). Factor g(z).
(z - 2)*(z - 1)/2
Let c(s) be the second derivative of -11*s - 1/6*s**4 + 0*s**6 + 0*s**2 + 0 - 1/42*s**7 + 0*s**3 + 3/20*s**5. Find x, given that c(x) = 0.
-2, 0, 1
Suppose t + 5 = 20. Suppose t = -0*r + 5*r. Factor 2/3*x**r - 2/9*x**2 - 2/3*x**4 + 2/9*x**5 + 0 + 0*x.
2*x**2*(x - 1)**3/9
Let y(l) be the second derivative of l**8/1008 + 2*l**7/315 + l**6/72 + l**5/90 + 19*l**2/2 + 16*l. Let d(g) be the first derivative of y(g). Factor d(a).
a**2*(a + 1)**2*(a + 2)/3
Let h(y) be the second derivative of -y**5/20 - y**4/12 + 2*y**3/3 + 2*y**2 - 2*y + 53. Suppose h(m) = 0. What is m?
-2, -1, 2
Let t(p) be the third derivative of 1/12*p**3 + 1/120*p**5 - 1/24*p**4 - 21*p**2 + 0*p + 0. Solve t(l) = 0.
1
Suppose 3*j = -2*j + 95. Let h = j - 19. Factor 0*m**2 + 2/17*m**3 + 0*m + h.
2*m**3/17
Let t = -2/1