*d**4 + 14*d**3 + 23*d**3 = 0.
-7, 0
Let k(g) be the third derivative of -g**5/15 + 7*g**4/3 + 3*g**2. Factor k(p).
-4*p*(p - 14)
Determine m, given that 152*m - 27*m**2 - 216*m + 124*m - 12 = 0.
2/9, 2
Let u(p) be the second derivative of -5*p**8/1008 - p**7/126 + p**6/36 + 9*p**2/2 + 23*p. Let q(i) be the first derivative of u(i). Solve q(z) = 0 for z.
-2, 0, 1
Let v(b) = -8*b**3 + 8*b**2 - 6*b + 6. Let f(c) = 7*c**3 - 8*c**2 + 6*c - 5. Let l = 27 + -33. Let j(n) = l*f(n) - 5*v(n). Factor j(z).
-2*z*(z - 3)*(z - 1)
Suppose 2*o = 70*o + 4 - 4. Solve -2/21*m**2 + 0*m + o + 8/21*m**5 - 8/21*m**3 + 2/21*m**4 = 0.
-1, -1/4, 0, 1
Factor 2/7*a**2 + 134/7*a - 136/7.
2*(a - 1)*(a + 68)/7
Let z(g) = 5*g**2 - 6*g + 1. Let w(b) = 12 + 92*b**2 - 31*b - 47*b - 38*b**2 + 12*b**2. Let p(v) = -2*w(v) + 27*z(v). Factor p(c).
3*(c - 1)**2
Let s(j) = j**3 - j**2 + 5*j + 4. Let d(b) = 2*b**3 - 3*b**2 + 10*b + 8. Let v(y) = -6*d(y) + 11*s(y). Let m be v(6). Factor 0*t + 2/15*t**m + 0 - 2/5*t**3.
-2*t**2*(3*t - 1)/15
Let o(d) be the third derivative of 0*d**3 - 1/120*d**6 + 0*d**4 + 0*d + 0 + 0*d**5 - 12*d**2. Factor o(y).
-y**3
Let r(h) be the first derivative of -h**8/10080 - h**7/630 - 7*h**6/720 - h**5/40 + 37*h**3/3 + 29. Let g(k) be the third derivative of r(k). Factor g(i).
-i*(i + 2)*(i + 3)**2/6
Let i(u) be the first derivative of 2*u**3/9 - 68*u**2/9 + 88*u/9 - 581. Factor i(n).
2*(n - 22)*(3*n - 2)/9
Suppose -1352/11 + 104/11*d - 2/11*d**2 = 0. What is d?
26
Factor -6/7*g**2 - 12/7*g + 24/7 + 3/7*g**3.
3*(g - 2)**2*(g + 2)/7
Let p = -50 + 40. Let q be (-8)/(-110)*p/(-4). Find d, given that 4/11*d + 2/11 + q*d**2 = 0.
-1
Solve -12*a + 3/4*a**2 - 51/4 = 0 for a.
-1, 17
Let z(u) be the third derivative of u**6/480 + 9*u**5/80 + 7*u**4/4 - 49*u**3/6 - 88*u**2. Factor z(r).
(r - 1)*(r + 14)**2/4
Let g(y) be the second derivative of -2*y**6/5 + y**5/45 + y**4/9 - 3*y**2 + y - 8. Let q(r) be the first derivative of g(r). Find p such that q(p) = 0.
-2/9, 0, 1/4
Let j = -1103 + 13247/12. Let f(c) be the second derivative of -j*c**3 + 1/2*c**4 + 0 + 4*c + 1/40*c**5 + 1/2*c**2 - 1/15*c**6. Find k such that f(k) = 0.
-2, 1/4, 1
Let l(y) be the first derivative of -2*y**3/5 + 38*y**2/5 + 26*y/5 - 410. Determine v so that l(v) = 0.
-1/3, 13
Find q, given that 3*q**3 + 2*q**2 - q**2 + 0*q**2 - 6*q**2 + 5*q**4 - 3*q = 0.
-1, -3/5, 0, 1
Let y(c) = c**2 - 8*c + 9. Let t be y(1). Let i(m) be the first derivative of -m**4 - t*m + 0*m**3 + 2/5*m**5 + 5 + 2*m**2. Find z such that i(z) = 0.
-1, 1
Suppose 4*y + 0*y - 28 = 4*u, 3*u - 28 = -4*y. Suppose u*r**2 - 10*r**3 + 5/2*r + 0 = 0. Calculate r.
-1/2, 0, 1/2
Suppose -32*k + 33*k - 5 = 0. Let s be k + ((-4)/(-6) - (-22)/(-6)). Factor 1/2*d**s + 2/5 - 6/5*d.
(d - 2)*(5*d - 2)/10
Suppose 2*r + 1 = 3*i + 5, -i = 0. Let z be (-12)/(-9) - 850/714. Factor 0*f**r + 0*f + 0 - z*f**3.
-f**3/7
Suppose 2*x = 3*x - 2*h - 8, -2*x = 2*h - 46. Factor -4*v**2 - 6*v - 3*v**3 + 14*v**2 + v**3 - x.
-2*(v - 3)**2*(v + 1)
Let o(j) be the third derivative of 0 - 3/80*j**5 + 0*j + 1/8*j**3 + 1/16*j**4 + 11*j**2. Factor o(z).
-3*(z - 1)*(3*z + 1)/4
Suppose 2*c = 3*g - 8, 2*c = 17 - 19. Factor -4/7*x**5 + 0*x**4 + 0*x + 0 + 8/7*x**g + 12/7*x**3.
-4*x**2*(x - 2)*(x + 1)**2/7
Let o(q) = -q**2 + q + 1. Let u(y) = 5 + 1 + 4*y**2 - 5*y**2 - 3*y**2 + 3*y. Let j(d) = 20*o(d) - 4*u(d). Factor j(a).
-4*(a - 1)**2
Let b(n) be the third derivative of 2*n**7/525 + 47*n**6/300 + 11*n**5/25 - n**4/60 - 22*n**3/15 - n**2 - 12. Let b(o) = 0. What is o?
-22, -1, 1/2
Let y be (17 - 4/(-4))/(6/4). Let k be (-3)/(-3 + -3)*y/3. Factor -9/2*i + 3/2*i**3 + 0*i**k - 3.
3*(i - 2)*(i + 1)**2/2
Let p = 1392 - 6958/5. Let g(d) be the second derivative of 3/5*d**5 + 0*d**2 + 1/14*d**7 + 0 - 10*d - p*d**6 + 0*d**3 + 0*d**4. Solve g(b) = 0.
0, 2
Let q(j) be the first derivative of -1/55*j**5 - 1/66*j**6 + 1/44*j**4 + 0*j + 0*j**2 + 1/33*j**3 + 2. Factor q(r).
-r**2*(r - 1)*(r + 1)**2/11
Let x(y) be the second derivative of 10*y + 1/10*y**6 + 0 + 3/10*y**5 - y**3 - 1/4*y**4 + 0*y**2. Factor x(k).
3*k*(k - 1)*(k + 1)*(k + 2)
Find d such that -36/5*d**2 - 54/5 - 2/15*d**4 - 72/5*d - 8/5*d**3 = 0.
-3
Let w(m) = m**3 + 6*m**2 + 2*m - 3. Let t be w(-3). Let l = 20 - t. Suppose -1 + 27*j**2 - 120*j**3 - 2 + 12*j - 144*j**4 + 3*j**l + 9*j**2 = 0. Calculate j.
-1, -1/3, 1/4
Let x = 3 - -6. Let m(l) = 4*l**3 - 4*l**2 + 2*l + 2. Let z(g) = -g**4 - 15*g**3 + 15*g**2 - 8*g - 9. Let s(d) = x*m(d) + 2*z(d). Factor s(b).
-2*b*(b - 1)**3
Solve 2*p**3 + 63*p + 0*p**3 - 56 - 84*p**2 + 2*p**3 + 93*p - 20 = 0.
1, 19
Let y = 12079/5 + -2415. Suppose -y - 2/5*d**2 + 6/5*d = 0. What is d?
1, 2
Let 48/5*m + 2/5*m**4 + 4/5*m**3 - 8*m**2 + 0 = 0. Calculate m.
-6, 0, 2
Let h be 3/(-7 + (-221)/(-26)). Factor -1/5*k**5 + 1/5 + 3/5*k - 3/5*k**4 - 2/5*k**3 + 2/5*k**h.
-(k - 1)*(k + 1)**4/5
Determine r so that -28 - 6 + 10 + 2*r**2 - 36*r - 34*r + 78*r = 0.
-6, 2
Let j(n) be the first derivative of -n**5/15 + n**4/3 - 9*n**2/2 + 4. Let q(t) be the second derivative of j(t). Factor q(b).
-4*b*(b - 2)
Let a = 725 + -723. Let o(w) be the third derivative of 3/8*w**4 + 1/20*w**5 + 0*w + w**3 + 0 - 4*w**a. Factor o(h).
3*(h + 1)*(h + 2)
Let r = 12 - 9. Let r - 2 + 11*m**3 + 15*m - 6*m**3 + 4 + 15*m**2 = 0. Calculate m.
-1
Let o(z) = 122*z. Let g be o(0). Solve -3/5*v**3 + 6/5*v**2 + g + 0*v = 0 for v.
0, 2
Let y = 259/786 + 1/262. Let c(z) be the first derivative of -y*z**3 + 1/8*z**2 + 8 + 0*z. Determine i so that c(i) = 0.
0, 1/4
Suppose 3*k = r + 3, -6 = -0*r - 2*r. What is a in 6*a**2 + 18*a - 2*a**k + 2 - a**3 - 23*a = 0?
1, 2
Let t = 91 + -95. Let p be ((-468)/(-91))/((-6)/t). What is s in 22/7*s**2 - p*s + 8/7 - 6/7*s**3 = 0?
2/3, 1, 2
Suppose -m = -7*m + 18. Let z = 248 - 238. Determine t, given that -28/3*t + z*t**4 - 22/3*t**2 - 8/3 + 19/3*t**3 + m*t**5 = 0.
-2, -1, -2/3, 1
Factor -19*r**2 + 7048*r**4 - 40*r**3 - 16*r**2 + 0*r**2 - 7053*r**4.
-5*r**2*(r + 1)*(r + 7)
Suppose 0 = -y + 4*y - 45. Let x be 1/(-5) - (-48)/y. Factor 6*a + a**3 - a**x - 2*a - 4*a**3.
-4*a*(a - 1)*(a + 1)
Let q(w) = -6*w**2 + 2046*w - 262138. Let y(b) = -b**2 - b + 3. Let v(a) = -q(a) + 2*y(a). Factor v(p).
4*(p - 256)**2
Let q = -47/76 - -26/19. Factor -3/4*k**3 + 0 - q*k**2 + 3/4*k**4 + 0*k + 3/4*k**5.
3*k**2*(k - 1)*(k + 1)**2/4
Let x = -99/20 - -1333/140. Solve 0 - x*d**2 + 12/7*d**4 - 16/7*d - 4/7*d**3 = 0 for d.
-1, -2/3, 0, 2
Let z be 896/42*(2/4 - -1). Let k = -27 + z. Factor 2/3*u**4 + 0*u**2 - 2/3*u**k + 0*u + 0 + 4/3*u**3.
-2*u**3*(u - 2)*(u + 1)/3
What is t in 16/5 + 76/5*t**3 + 64/5*t + 4/5*t**5 + 20*t**2 + 28/5*t**4 = 0?
-2, -1
Let v(q) be the second derivative of q**7/4410 + q**6/630 + q**5/210 + q**4 - 9*q. Let f(n) be the third derivative of v(n). Find r, given that f(r) = 0.
-1
Suppose -20 = -4*a - 4. Let a*r**2 - 2*r**3 - 3*r**2 - 3*r**2 + 6*r**2 = 0. Calculate r.
0, 2
Let q(t) be the third derivative of -3*t**5/40 - t**4/72 - 212*t**2. Factor q(x).
-x*(27*x + 2)/6
Let r(s) be the first derivative of -1/2*s**4 + 0*s**2 + 0*s - 8/3*s**3 + 12. Suppose r(c) = 0. What is c?
-4, 0
Let d = -2620/17 - -22012/119. Factor 108/7*z - d - 18/7*z**2 + 1/7*z**3.
(z - 6)**3/7
Let k(v) = v - 1. Let d(f) = 3 + 0*f**2 + 7 - 15*f - 4*f**2 + 9. Let z(s) = d(s) + 3*k(s). Factor z(g).
-4*(g - 1)*(g + 4)
Factor -23*n + 95*n**2 + 7993 - 8248 - 132*n - 5*n**3.
-5*(n - 17)*(n - 3)*(n + 1)
Let w = 15085 - 106006/7. Let l = w - -59. Factor 0*u - l*u**4 + 0 + 1/7*u**5 + 1/7*u**3 + 0*u**2.
u**3*(u - 1)**2/7
Let s(i) = 245*i + 1227. Let k be s(-5). Factor 8/5 - 8/5*a**k + 4/5*a - 4/5*a**3.
-4*(a - 1)*(a + 1)*(a + 2)/5
Let u(z) be the second derivative of 1/6*z**3 - 1/6*z**2 + 4*z - 1/12*z**4 + 1/60*z**5 + 0. Factor u(c).
(c - 1)**3/3
Suppose 4*c + 0*s - 4*s = 12, 2*c + 1 = -5*s. Let q be 21/14*(c - 0). Factor 0 + 3*z**q + 3*z**2 + 0*z**3 - 4*z**3 - 4.
-(z - 2)**2*(z + 1)
Let y(i) be the first derivative of -2*i**3/9 - 5*i**2/3 - 144. Factor y(s).
-2*s*(s + 5)/3
Let l(i) be the third derivative of i**7/168 - 17*i**6/480 + i**5/40 + 13*i**2 - 16*i. Let l(h) = 0. What is h?
0, 2/5, 3
Let f(g) be the third derivative of -1/20*g**4 + 5*g**2 + 3/10*g**3 + 0 + 0*g + 1/300*g**5. Factor f(s).
(s - 3)**2/5
Let b(k) be the second derivative of -4/5*k*