(m) = m**2 - 11*m + 18. Let n be x(10). Let -7*o**2 + 3*o**3 - 12*o + n*o**2 - 6*o**2 + 3*o**4 - 7*o**2 = 0. Calculate o.
-2, -1, 0, 2
Suppose -4*l + 7*l - o - 1 = 0, -2*l - 3*o = -19. Let w(f) be the second derivative of 1/20*f**6 + f + 0 + 9/40*f**5 + 1/4*f**4 + 0*f**3 + 0*f**l. Factor w(h).
3*h**2*(h + 1)*(h + 2)/2
Let i(f) be the first derivative of f**4/14 + 20*f**3/7 + 225*f**2/7 + 167. Factor i(x).
2*x*(x + 15)**2/7
Let q(v) be the first derivative of -2/7*v**3 - 1/7*v - 1/35*v**5 + 2/7*v**2 + 1/7*v**4 + 5. Factor q(h).
-(h - 1)**4/7
Let b = -391 - -393. Let z(k) be the second derivative of 1/15*k**4 + 1/105*k**7 + 1/25*k**5 + 9*k + 0 - 1/5*k**3 + 1/5*k**b - 1/25*k**6. Solve z(v) = 0 for v.
-1, 1
Let t(x) be the first derivative of 2*x**3/39 - 5*x**2/13 + 8*x/13 + 158. What is n in t(n) = 0?
1, 4
Let w(m) be the third derivative of 6*m**2 + 3/8*m**4 + 0*m + 0 - 1/20*m**5 + 0*m**3. Find c such that w(c) = 0.
0, 3
Let o(p) be the second derivative of p**9/158760 + p**8/23520 + p**7/13230 - 13*p**4/6 - 31*p. Let b(v) be the third derivative of o(v). Factor b(a).
2*a**2*(a + 1)*(a + 2)/21
Let w be ((0/2)/(-1 - -3))/1. Find m, given that 0*m + 8/7*m**2 - 36/7*m**5 + 48/7*m**4 + w + 44/7*m**3 = 0.
-1/3, 0, 2
Suppose 4 = -6*v + 22. Suppose -v*z + 4*z = 0. Factor -3/4*l**2 - 3/2*l + z.
-3*l*(l + 2)/4
Let p(v) be the third derivative of v**4/24 + v**3/6 - 31*v**2. Let x(i) = -5*i**4 - 23*i**3 - 5*i**2 + 53*i - 16. Let r(k) = -2*p(k) + x(k). Factor r(z).
-(z - 1)*(z + 3)**2*(5*z - 2)
Let t(a) be the first derivative of 2/15*a**3 + 1/5*a**2 + 11 - 12/5*a. Suppose t(y) = 0. Calculate y.
-3, 2
Determine s so that 2*s**3 - 27*s**2 + 336*s - 58 - 23*s**2 - 236 + 6 = 0.
1, 12
Let y(i) = 10*i**3 + 547*i**2 + 6208*i - 1585. Let c(x) = 49*x**3 + 2734*x**2 + 31039*x - 7924. Let m(q) = 2*c(q) - 11*y(q). Factor m(f).
-3*(f + 23)**2*(4*f - 1)
Let k(p) be the third derivative of -p**8/168 - 5*p**7/21 - 2*p**6/5 + 2*p**2 - 287. Factor k(n).
-2*n**3*(n + 1)*(n + 24)
Suppose t + z + 4 = 21, 2*t + 3*z = 35. Let y be (t/14)/((-8)/(-84)*3). Factor 8/9*v - 2/9*v**y + 8/9*v**3 - 4/3*v**2 - 2/9.
-2*(v - 1)**4/9
Let c(k) = -18*k**2 - 312*k + 2904. Let z(r) = -4*r**2 - 62*r + 581. Let s(x) = -6*c(x) + 28*z(x). Find y such that s(y) = 0.
17
Suppose -2*u = -4*o + 24, 3*u = -2*o - 0*u + 4. Suppose w + 3*w + w**3 - o*w = 0. Calculate w.
-1, 0, 1
Let d(h) be the second derivative of 1/210*h**7 + 0 + 1/30*h**4 - 1/10*h**3 - 1/50*h**6 + 1/10*h**2 + 9*h + 1/50*h**5. Factor d(x).
(x - 1)**4*(x + 1)/5
Suppose 33*g - 3*w + 3 = 30*g, -3*g = -4*w + 4. Factor -4/3*l**3 + g + 0*l + l**2 + 1/3*l**4.
l**2*(l - 3)*(l - 1)/3
Let c be 3150/(-700)*(2/(-5))/(0 + 1). Factor 3/5*t**5 - c*t**3 + 0 + 0*t**4 - 6/5*t**2 + 0*t.
3*t**2*(t - 2)*(t + 1)**2/5
Let a(k) be the third derivative of -k**6/420 + 2*k**5/21 - 17*k**4/28 - 411*k**2 - 2. Factor a(s).
-2*s*(s - 17)*(s - 3)/7
Let k(r) be the first derivative of r**5/5 - r**4 + 2*r**3/3 + 2*r**2 - 3*r - 111. Determine j, given that k(j) = 0.
-1, 1, 3
Suppose 4*p + 11 = 5*d, -1 = d - p - 3*p. Factor 46*g**d - 25*g**3 + 3*g**5 + g**4 - 23*g**3.
g**3*(g + 1)*(3*g - 2)
Let w(j) be the second derivative of 9*j**5/10 - 47*j**4/6 + 46*j**3/3 - 8*j**2 + 139*j. Determine q so that w(q) = 0.
2/9, 1, 4
Let l(w) be the first derivative of -w**4/2 + 28*w**3/9 - 13*w**2/3 - 4*w - 198. Suppose l(s) = 0. What is s?
-1/3, 2, 3
Suppose -11*b + 19 = -135. Let y(m) be the second derivative of -1/15*m**3 + 0*m**2 - 1/100*m**5 + 0 + b*m + 1/20*m**4. Factor y(k).
-k*(k - 2)*(k - 1)/5
Let b(a) = 4*a**3 + 97*a**2 - 1144*a + 1055. Let u(o) = 34*o**3 + 872*o**2 - 10298*o + 9496. Let x(w) = 52*b(w) - 6*u(w). Factor x(d).
4*(d - 23)**2*(d - 1)
Let h(d) = -3*d - 7. Let x(a) = a + 2. Let r(v) = -2*h(v) - 7*x(v). Let w(n) = -n**3 - 2*n**2 + 3*n. Let k(p) = -4*r(p) - w(p). Factor k(j).
j*(j + 1)**2
Let c(p) be the third derivative of 0*p**3 + 1/105*p**8 - 1/50*p**6 + 0*p + 0 - 11*p**2 - 2/75*p**5 + 8/525*p**7 + 1/30*p**4. Factor c(u).
4*u*(u + 1)**2*(2*u - 1)**2/5
Let z = -25569/7 + 3654. Suppose -6/7*j - 3/7*j**4 + 12/7*j**2 - z + 6/7*j**3 = 0. What is j?
-1, 1, 3
Find u, given that -276*u**2 + 48*u + 429*u**3 + 0 - 363/4*u**4 = 0.
0, 4/11, 4
Let s(q) = q**3 + 5*q**2 + 13*q - 3. Let w be 4/(24/18) - -3*1. Let u(i) = 3*i**3 + 15*i**2 + 38*i - 8. Let r(g) = w*u(g) - 17*s(g). Factor r(a).
(a + 1)**2*(a + 3)
Let z = -21809/7 - -3116. Factor z*l + 3/7*l**2 - 6/7.
3*(l - 1)*(l + 2)/7
Suppose -j + 0*z + z = -10, j = -4*z - 10. Let k be j/15 - 8/(-5). Factor 7*l**k + 2*l**3 - 5*l**2 - l**2 - l**4 + l - 3*l**3.
-l*(l - 1)*(l + 1)**2
Let z(w) = 4*w**2 - 229*w - 174. Let k be z(58). Let n(a) be the second derivative of -2/9*a**3 + k - 4*a - 1/36*a**4 - 2/3*a**2. Let n(t) = 0. Calculate t.
-2
Let x be ((-1)/(-6))/(4/8) - 0. Let w = 8/15 - x. Factor 6/5*r**2 - 4/5*r**3 + w + 1/5*r**4 - 4/5*r.
(r - 1)**4/5
Let j = 1169/6942 + -2/1157. Factor -1/2*v**2 + 2/3 + 2/3*v**3 - 2/3*v - j*v**4.
-(v - 2)**2*(v - 1)*(v + 1)/6
Let b = -8 + 14. Let g = b - 3. Factor z**2 + 0*z**2 + 3*z**3 - 4*z**2 - 5*z + g*z**4 + 2*z.
3*z*(z - 1)*(z + 1)**2
Let b(f) = f**3 - 64*f**2 + 232*f + 485. Let u be b(60). Solve 2/17*j**3 - 2/17*j**u + 0*j + 14/17*j**2 - 6/17*j**4 - 8/17 = 0 for j.
-2, -1, 1
Let q(w) be the second derivative of -w**5/140 - 229*w**4/84 - 2204*w**3/7 - 6498*w**2/7 + 233*w. Factor q(i).
-(i + 1)*(i + 114)**2/7
Suppose 0 = 61*i - 145*i - 175*i + 518. Find r such that 5*r**5 - 5/2*r + 0 + 15/2*r**3 + 25/2*r**4 - 5/2*r**i = 0.
-1, 0, 1/2
Factor -1936/3 + 176/3*v - 4/3*v**2.
-4*(v - 22)**2/3
Let n = -23817 + 23821. Factor 0*p + 1/5*p**2 + 1/5*p**5 - 1/5*p**3 - 1/5*p**n + 0.
p**2*(p - 1)**2*(p + 1)/5
Let t(o) be the first derivative of -1/15*o**3 + 0*o + 6 - 1/5*o**2. Let t(c) = 0. Calculate c.
-2, 0
Factor 5/3*g**3 - 5120/3 + 5440/3*g - 325/3*g**2.
5*(g - 32)**2*(g - 1)/3
Solve 0 + 19/6*k - 10/3*k**2 + 1/6*k**3 = 0 for k.
0, 1, 19
Suppose -4*k + 8*f = 3*f + 39, k + 12 = 2*f. Let r = k - -13. Factor -4*s + r - 10 + 5 + 2*s**2.
2*(s - 1)**2
Let g be ((-6)/(-35))/((-18)/(-252) + 0). Solve g*m**2 + 3/5*m**3 - 3*m + 0 = 0 for m.
-5, 0, 1
Suppose -3*j = 1 - 1. Let w(h) be the third derivative of -4/315*h**7 + 1/504*h**8 + 0 - 4*h**2 + 1/36*h**4 + 0*h**3 - 2/45*h**5 + 1/30*h**6 + j*h. Factor w(q).
2*q*(q - 1)**4/3
Let q(g) be the first derivative of 2*g**5/15 + g**4 - 70*g**3/9 + 16*g**2 - 40*g/3 - 199. Let q(y) = 0. What is y?
-10, 1, 2
Solve -8/3 - 26/3*z**3 - 64/3*z - 82/3*z**2 = 0 for z.
-2, -1, -2/13
Let m(k) be the second derivative of -k**6/120 - 21*k**5/80 + k**4/48 + 7*k**3/8 + 749*k. Factor m(b).
-b*(b - 1)*(b + 1)*(b + 21)/4
Let c(v) be the second derivative of -v**5/10 + 5*v**4/6 - 2*v**3 + 12*v - 5. Factor c(u).
-2*u*(u - 3)*(u - 2)
Let y(p) be the second derivative of p**7/252 - p**6/180 - 3*p**5/40 + p**4/72 + 5*p**3/9 + p**2 + 11*p + 5. Determine u so that y(u) = 0.
-2, -1, 2, 3
Let n = 33 + -27. Factor 273*h**2 - 270*h**2 - n*h + 75 - 24*h.
3*(h - 5)**2
Let q(f) be the first derivative of 5*f**4/4 + 5*f**3/3 - 67. Factor q(p).
5*p**2*(p + 1)
Let k(m) be the second derivative of 0*m**3 + 0*m**2 - 35*m + 2/21*m**4 + 0*m**5 + 0 - 1/105*m**6. Let k(n) = 0. What is n?
-2, 0, 2
Let r(j) be the first derivative of -3*j**5/80 + j**4/16 + 10*j - 13. Let p(k) be the first derivative of r(k). Solve p(x) = 0 for x.
0, 1
Let r be (1*6)/(18/8) + 2120/(-3180). Let 1/3 - 5/9*c + 1/9*c**3 + 1/9*c**r = 0. Calculate c.
-3, 1
Let o(p) = p**3 + 26*p**2 - 19*p + 10. Let a(b) = 5*b**3 + 22 - 2 + 10 - 75*b + 10 + 105*b**2. Let x(w) = -6*a(w) + 25*o(w). Factor x(m).
-5*(m - 2)*(m - 1)**2
Suppose 6*u - 4*u - 4 = 0. Let h = -375 + 378. Factor -7 - h*q**u + 14*q + 4*q - 14 - 6.
-3*(q - 3)**2
Let y(j) = j**2 - 5*j + 2. Let u be y(5). Solve 6 + 3*f**u - 108*f + 120*f + 6 = 0 for f.
-2
Let p(d) = -d**3 + 3*d**2 + 12*d - 12. Let g(h) = -h**3 + 3*h**2 + 14*h - 14. Let t(i) = -6*g(i) + 7*p(i). Solve t(m) = 0.
0, 3
Let w(l) be the third derivative of 5/16*l**4 + 0*l - 1/28*l**7 - 2*l**2 + 0 + 1/224*l**8 + 1/8*l**6 - 1/4*l**3 - 1/4*l**5. Factor w(s).
3*(s - 1)**5/2
Let -1/2*n**2 - n + 0 = 0. Calculate n.
-2, 0
Suppose 48 = 4*v + 8*v. Let g(o) be the second derivative of -1/168*o**7 + 0 + 0*o**v - 1/80*o**5 + 0*o**3 - 1/60*o**6