ven that -l*b + 0*b**2 - 1/3*b**5 + 5/3*b**3 + 0*b**4 + 0 = 0.
-2, -1, 0, 1, 2
Let y be (-7368)/7982 - 24/(-26). Let r(k) be the third derivative of 0 + 1/270*k**5 + y*k + 1/27*k**4 + k**2 + 0*k**3. Determine i so that r(i) = 0.
-4, 0
Let f = -207/19 - -2334/209. Let p(m) be the first derivative of -9 + f*m + 1/33*m**3 + 2/11*m**2. Factor p(t).
(t + 1)*(t + 3)/11
Let x(g) be the third derivative of -1/315*g**7 + g + 2/45*g**6 - 17/90*g**5 + 5/18*g**4 - 30*g**2 + 0*g**3 + 0. Factor x(o).
-2*o*(o - 5)*(o - 2)*(o - 1)/3
Factor -1/5*g**2 - 48/5 - 16/5*g.
-(g + 4)*(g + 12)/5
Let d(m) = 20*m + 127. Let q(j) = -7*j - 43. Let t(y) = 4*d(y) + 11*q(y). Let s be t(-11). Factor -3*c + 4*c**s + 2*c - 3*c**3 - 6*c**2 + 2*c**3.
-c*(c + 1)**2
Suppose 0 = 5*d - 2*i - 3127, -2*d + 1262 = -6*i + 8*i. Factor -237 + d - 16*x**2 + 186 - 32*x**3 + 384*x + 4*x**4 - 16*x**2.
4*(x - 6)**2*(x + 2)**2
Let l(w) be the third derivative of -w**5/210 + 11*w**4/12 + 158*w**3/21 + 19*w**2 - 43. Determine r so that l(r) = 0.
-2, 79
Let p(z) be the third derivative of -2*z + 5/36*z**6 + 0*z**3 + 4/225*z**5 - 1/15*z**4 + 0 - 1/75*z**7 - 51*z**2. Determine r so that p(r) = 0.
-1/3, 0, 2/7, 6
Let o(j) = -j**2 + j + 3. Let v be o(0). What is y in 17*y**3 - 9*y**v - 44*y**2 + 15 - 43 - 80*y = 0?
-1, -1/2, 7
Let k(f) be the first derivative of f**4/10 + 86*f**3/15 + 74*f**2/5 - 656*f/5 + 3385. Suppose k(g) = 0. Calculate g.
-41, -4, 2
Suppose 10 = -2*y, -6*y + 3*y = -4*c + 35. Suppose 0 = c*q + 25, 8 + 9 = -4*a - 5*q. Let -6/11 + a*z + 8/11*z**2 = 0. What is z?
-3, 1/4
Let w(x) = -16*x - 71. Let z be w(-6). Let u(f) be the first derivative of -8/15*f + z + 2/45*f**3 + 1/5*f**2. Factor u(y).
2*(y - 1)*(y + 4)/15
Let m(g) be the first derivative of 5/9*g**3 + 60*g**2 + 2160*g - 117. Factor m(l).
5*(l + 36)**2/3
Let b be 14/(75/20 + 4/(-16)). Let y be 3/4*8/10. Let 0*c + 0*c**3 - 3/5*c**2 + 0 + y*c**b = 0. What is c?
-1, 0, 1
Let i(l) be the first derivative of -l**4/12 + 43*l**3/3 - 1849*l**2/2 + 140*l - 297. Let h(a) be the first derivative of i(a). Factor h(v).
-(v - 43)**2
Suppose 0 = 3*p - 196 + 181, 34 = 3*j + 5*p. Let 228/5*c + 17/5*c**j - 1/5*c**4 - 144/5 - 20*c**2 = 0. Calculate c.
1, 4, 6
Let r(k) be the second derivative of -k**7/17640 - 13*k**6/5040 - k**5/70 + k**4/12 + 5*k**3 - 9*k. Let q(l) be the third derivative of r(l). Factor q(g).
-(g + 1)*(g + 12)/7
Let q = 23 - 19. Suppose 0 = y + q*k + 2, -2*y - 2*k - 2*k = 0. Factor -b**2 + 3*b**y + 6*b - b**2 + b**2.
2*b*(b + 3)
Factor -141/5*i**2 + 507/5*i + 9/5*i**3 - 99.
3*(i - 11)*(i - 3)*(3*i - 5)/5
Suppose -9*n + 2260 = -5*n. Suppose t - c = 3*c + 130, 0 = 5*t - 3*c - n. Find h such that -h**4 + t*h**3 + 5*h**4 - 118*h**3 = 0.
0, 2
Suppose 5*i - 31 = -2*v, 4*i + 358*v - 4 = 359*v. Let j(d) be the second derivative of 1/4*d**4 + 6*d + 0 + 216*d**2 - 12*d**i. Let j(m) = 0. Calculate m.
12
Let o(n) be the first derivative of 0*n + 54 - 3/38*n**4 + 0*n**3 + 1/57*n**6 + 4/95*n**5 + 0*n**2. Factor o(y).
2*y**3*(y - 1)*(y + 3)/19
Let g be -58*((1640/150)/(-82))/((-4)/(-6)). Suppose g*h + 0 + 2/5*h**2 = 0. Calculate h.
-29, 0
Let f(x) be the third derivative of -7*x**2 - 1/20*x**6 - 3 + 1/112*x**8 + 0*x**3 + 3/5*x**5 - 3/70*x**7 - x**4 + 0*x. Find h such that f(h) = 0.
-2, 0, 1, 2
Let s(b) = 3*b**3 - 1464*b**2 + 187496*b - 4. Let i(w) = 3*w**3 - 1455*w**2 + 187495*w - 5. Let d(g) = -4*i(g) + 5*s(g). Factor d(o).
3*o*(o - 250)**2
Let m(d) be the second derivative of 2/21*d**7 - 3/5*d**5 + 0*d**2 + 4/3*d**3 - 217*d + 0 - 1/3*d**4 + 2/15*d**6. Factor m(g).
4*g*(g - 1)**2*(g + 1)*(g + 2)
Let x(c) be the first derivative of c**3 + 177*c**2/2 - 180*c - 341. Factor x(d).
3*(d - 1)*(d + 60)
Determine y so that -40/3 - 112/9*y - 2/9*y**5 + 38/3*y**3 + 22/9*y**4 + 98/9*y**2 = 0.
-2, -1, 1, 15
Suppose -o - 3*i = 237 - 591, 3*i + 1806 = 5*o. Let s be 2*((-8)/(-36) + 64/o). Factor s*r**3 + 0 - 4/5*r + 4/5*r**2 - 4/5*r**4.
-4*r*(r - 1)**2*(r + 1)/5
Let d be 12/15 + 114/(-5). Let i = 25 + d. Find c such that -1 - 6 - i + 6 + 4*c**2 = 0.
-1, 1
Let x(k) be the second derivative of k**7/56 + k**6/10 - 33*k**5/80 + 3*k**4/8 + 1483*k. Factor x(q).
3*q**2*(q - 1)**2*(q + 6)/4
Suppose 4*p + 83*n - 84*n = -4, 0 = 5*p + 3*n - 12. Factor 0*m**3 + 2/9*m**4 + 1/9*m**5 + p + 0*m**2 + 0*m.
m**4*(m + 2)/9
Suppose h = -3*z + 17, 11 = -h + 4*z - 0. Factor -5 + h*t**3 + 5*t**2 + 1 + 1 + 3 - 10*t.
5*t*(t - 1)*(t + 2)
Let o(r) be the first derivative of -2*r**3/3 - 76*r**2/9 - 64*r/9 - 859. Solve o(y) = 0.
-8, -4/9
Let b(f) be the first derivative of f**7/980 + f**6/840 - f**5/140 - f**4/56 - 89*f**3/3 - 36. Let v(x) be the third derivative of b(x). Factor v(g).
3*(g - 1)*(g + 1)*(2*g + 1)/7
Factor -11/3*i**2 - 10/3*i + 1/6*i**4 + 10/3*i**3 + 7/2.
(i - 1)**2*(i + 1)*(i + 21)/6
Let b(h) = -41*h**4 - 377*h**3 - 21*h**2 + 1094*h - 745. Let o(p) = 18*p**4 + 188*p**3 + 10*p**2 - 548*p + 372. Let n(s) = -4*b(s) - 9*o(s). Solve n(c) = 0.
-2, 1, 92
Let -198*w - 219*w**2 + 211*w + 590*w + 222*w**2 = 0. Calculate w.
-201, 0
Let v(f) = -2*f**3 + 26*f**2 + 10*f + 6. Let r(o) = 3*o**3 - 27*o**2 - 9*o - 7. Suppose -8*t + 1 = -55. Let a(i) = t*v(i) + 6*r(i). Factor a(d).
4*d*(d + 1)*(d + 4)
Solve 0 + 456/5*m**2 + 56/5*m**4 + 252/5*m + 4/5*m**5 + 256/5*m**3 = 0 for m.
-7, -3, -1, 0
Let r = -123666 + 247413/2. Solve 8*t**4 - 28*t**3 + 9/2*t**2 + r*t + 0 = 0.
-1, 0, 9/4
Suppose 0 = -12*b + 22*b - 30. What is i in 5096*i**2 - b*i**4 + 360*i - 4906*i**2 + 175 - 2*i**4 = 0?
-5, -1, 7
Factor -8 - 385*d**3 + 8*d**2 + 30*d**3 + 388*d + 216*d - 249*d**3.
-4*(d - 1)*(d + 1)*(151*d - 2)
Let j be (269/(-7) + 37)*((-64)/10)/2. Solve 120/7*q**2 - 4*q**3 - 144/7*q + j = 0.
2/7, 2
Let p(r) be the first derivative of 9/2*r**2 - 89 - 4*r + 6/5*r**5 - 2/3*r**3 - 2*r**4 - 1/6*r**6. What is f in p(f) = 0?
-1, 1, 4
Let x = 50 - 46. Suppose 10 - x = 3*t. Find p, given that -t*p - 3*p**2 - 9*p - 6*p + 18 + 2*p = 0.
-6, 1
Let l(i) be the third derivative of -3*i - 8/9*i**3 + 0 - 13/54*i**5 - 1/1512*i**8 + 1/36*i**6 + i**2 + 35/54*i**4 + 1/189*i**7. Find n such that l(n) = 0.
-4, 1, 6
Let j(f) = 6*f**3 + 1781*f**2 + 1051387*f + 207474693. Let r(u) = -u**3 - u**2 + u - 1. Let h(v) = j(v) + 5*r(v). What is b in h(b) = 0?
-592
Let i = -19/72 + 26/9. Let g(l) be the first derivative of 7 + i*l**4 + l**3 - 3*l - 21/4*l**2. Solve g(n) = 0.
-1, -2/7, 1
Factor 214 + 1174*o**2 - 198 - 1178*o**2.
-4*(o - 2)*(o + 2)
Let d(u) be the second derivative of -1/21*u**6 + 2*u + 78 + 69/35*u**5 - 18/7*u**3 - 79/42*u**4 + 0*u**2. Find q such that d(q) = 0.
-2/5, 0, 1, 27
Let r(m) be the third derivative of 0*m**3 - 6*m**2 + 1/45*m**6 - 3 - 2/315*m**7 - 1/3*m**4 + 1/9*m**5 + 0*m. Factor r(t).
-4*t*(t - 3)*(t - 1)*(t + 2)/3
Let f(q) be the first derivative of 4*q**3/3 - 4*q**2 - 5*q + 28. Let a(p) = -p**2 + 1. Let s(t) = 5*a(t) + f(t). Find y, given that s(y) = 0.
-8, 0
Let c be 6/4 - 1 - (-79)/2. Factor -16*n**3 + 80*n - 2*n**3 - 3*n**3 + 2 - c*n**2 - 97*n.
-(n + 1)**2*(21*n - 2)
Let b(z) be the first derivative of -4*z**3/21 + 5932*z**2/7 - 8797156*z/7 - 961. Factor b(l).
-4*(l - 1483)**2/7
Let g(a) be the second derivative of -a**7/84 - 23*a**6/60 - 99*a**5/40 - 169*a**4/24 - 32*a**3/3 - 9*a**2 + 147*a - 1. Let g(v) = 0. Calculate v.
-18, -2, -1
Let j be 0/(1*7 - (14 - (28 + -24))). Factor 1/2*u**3 + j*u**2 + 0*u**4 + 0 - 1/4*u - 1/4*u**5.
-u*(u - 1)**2*(u + 1)**2/4
Let i(r) be the second derivative of r**4/36 + 61*r**3/3 - 151*r. Suppose i(f) = 0. What is f?
-366, 0
Let m(n) = 16*n**2 + 31*n + 3. Let f(b) = b**2 + 50*b - 1. Let g(x) = -2*f(x) + 2*m(x). Factor g(h).
2*(h - 1)*(15*h - 4)
Let t be 1075/(-3000) + 2/5. Let i(q) be the second derivative of 0 - 1/40*q**5 + 1/180*q**6 - 1/36*q**3 + 12*q + 0*q**2 + t*q**4. Factor i(y).
y*(y - 1)**3/6
Determine w, given that 5*w**3 - 179*w + 929*w + 15542 - 9232 + 155*w**2 - 8470 = 0.
-24, -9, 2
Let z(v) be the second derivative of 1/120*v**6 - 1/6*v**4 + 0*v**3 - 27/2*v**2 + 17*v + 0*v**5 + 0. Let a(t) be the first derivative of z(t). Factor a(q).
q*(q - 2)*(q + 2)
Let y(m) = m**3 + 6*m**2 - 79*m - 196. Let v(z) = -2*z**3 - 7*z**2 + 78*z + 192. Suppose 4*w + 111 - 127 = 0. Let j(l) = w*v(l) + 3*y(l). Factor j(a).
-5*(a - 4)*(a + 3)**2
Suppose -33*z = -30*z - 5*g + 493, -509 = 3*