 651. Suppose p(b) = 0. What is b?
-149
Let i be ((-10)/(-6))/((-4)/(-108)). Find h such that -h**4 + i*h**3 + h**4 - 47*h**3 + 2*h**5 = 0.
-1, 0, 1
Let s(i) = -i**2 + i + 1. Let k(y) = -y**2. Let h(b) = -50*b**2 + 30*b + 150. Let m(j) = 2*h(j) - 90*k(j). Let w(u) = -m(u) + 12*s(u). Factor w(n).
-2*(n + 12)**2
Suppose 2*q = 2*w + w + 89, 96 = -4*w - 3*q. Let r = 29 + w. Factor 1/3*s**r - 1/3 + 1/3*s - 1/3*s**3.
-(s - 1)**2*(s + 1)/3
Let y(z) be the second derivative of -z**7/27 - 8*z**6/27 - 13*z**5/18 - 10*z**4/27 + 4*z**3/9 - 24*z + 2. Suppose y(m) = 0. Calculate m.
-3, -2, -1, 0, 2/7
Let l(a) be the first derivative of a**5/30 - 5*a**4/3 + 100*a**3/3 - a**2 - 27. Let h(v) be the second derivative of l(v). Find u, given that h(u) = 0.
10
Let o(x) be the second derivative of x**4/3 + 16*x**3 + 288*x**2 + 32*x. Factor o(t).
4*(t + 12)**2
Suppose -137 - 1 = 3*c. Let d be -4 + c/(-4) + 0. Factor d*a**4 + 0 - 9/2*a**3 - 3*a**5 + 3/2*a - 3/2*a**2.
-3*a*(a - 1)**3*(2*a + 1)/2
Let j(y) be the first derivative of 3*y**4/4 + 72*y**3 + 553. Factor j(m).
3*m**2*(m + 72)
Suppose -2*s = 5*h - s - 14, 0 = 2*h - s - 7. Solve -4*n**h - 4*n**2 - n**3 - 3*n**3 - 4*n**4 + 0*n**3 = 0 for n.
-1, 0
Let a be 395/135 - (-56)/756. Let d(s) be the second derivative of 0 + 0*s**3 + 5/2*s**2 - 5/12*s**4 + a*s. Factor d(k).
-5*(k - 1)*(k + 1)
Let i(f) be the first derivative of f**7/168 - f**6/40 + 3*f**5/80 - f**4/48 + 3*f**2 + 21. Let k(m) be the second derivative of i(m). What is x in k(x) = 0?
0, 2/5, 1
Let d(u) = u**3 - 9*u**2 + 8*u + 5. Let c be d(8). Suppose g = h + 6, -3*g - c*h - 10 = 2*g. Factor -31 + 4 + 18*v - v**g - 2*v**2 + 0*v**2.
-3*(v - 3)**2
Determine g, given that 0*g**4 + 2*g**2 + 85 - 2*g**4 - 2*g**5 - 18 - 122*g + 26*g + 26*g**3 + 5 = 0.
-3, 1, 2
Find h such that -6/5*h + 9/5*h**3 - 3/5*h**5 + 3/5*h**4 - 3/5*h**2 + 0 = 0.
-1, 0, 1, 2
Let l = -15/784 + 4/49. Let p(u) be the second derivative of 0 + 0*u**3 - l*u**4 + 0*u**2 + 5*u. Factor p(j).
-3*j**2/4
Let p(m) = m**2 + 9*m - 7. Let l be p(-10). Let u = 916 + -910. Factor 9/2*g**2 + 9*g + 3/4*g**l + u.
3*(g + 2)**3/4
Let d(g) = -31*g**4 + 172*g**3 - 788*g**2 + 1448*g - 960. Let t(s) = 20*s**4 - 115*s**3 + 525*s**2 - 965*s + 640. Let w(n) = -5*d(n) - 8*t(n). Factor w(v).
-5*(v - 4)**2*(v - 2)**2
Let a(w) be the third derivative of -w**5/30 + 3*w**4/4 + 10*w**3/3 - 394*w**2. Determine l, given that a(l) = 0.
-1, 10
Let y = 5/114 - -49/38. Factor w**2 + 0*w - 1/3*w**3 - y.
-(w - 2)**2*(w + 1)/3
Suppose -o = -22 + 8. Suppose -5*u = -o + 4. Let a(g) = -5*g**2 - 6*g. Let v(b) = -81*b**2 - 96*b. Let z(h) = u*v(h) - 33*a(h). Suppose z(m) = 0. Calculate m.
-2, 0
Let k(q) be the third derivative of 1/28*q**5 + 0 + 0*q**3 + 0*q - 9*q**2 - 1/98*q**7 - 1/28*q**4 + 1/140*q**6. Find t, given that k(t) = 0.
-1, 0, 2/5, 1
Let i(j) be the second derivative of j**5/4 + 35*j**4/3 - 295*j**3/6 + 75*j**2 + 67*j + 6. Solve i(f) = 0 for f.
-30, 1
Suppose -3*l - 11 = -23. Let c(h) be the third derivative of -2/21*h**3 - 1/105*h**5 + 0 - 5*h**2 + 0*h + 5/84*h**l. Solve c(f) = 0 for f.
1/2, 2
Let w be (-32)/(-40) + (-422)/(-10). Let r = w - 43. Factor r - 2/9*s**3 - 4/9*s**2 + 0*s.
-2*s**2*(s + 2)/9
Let u = 3359 - 3358. Find p such that -4/5*p + u - 1/5*p**2 = 0.
-5, 1
Let 41*d - d - 49 + 35*d**2 + 5*d**3 - 31 = 0. Calculate d.
-4, 1
Determine v, given that -1/5*v**3 + v**2 - 2/5*v - 8/5 = 0.
-1, 2, 4
Let i(a) be the first derivative of -2*a**5 + 67*a**4/2 - 52*a**3/3 + 80. Factor i(k).
-2*k**2*(k - 13)*(5*k - 2)
Let b(j) be the first derivative of -23 - 2*j**2 + 4/3*j**6 - j**4 - 16/3*j**3 + 2*j + 14/5*j**5. Factor b(p).
2*(p - 1)*(p + 1)**3*(4*p - 1)
Factor 32*f - 1024 - 1/4*f**2.
-(f - 64)**2/4
Suppose 10*f - 13*f = -6. Let t(p) be the first derivative of 0*p**f + 0*p + 0*p**4 + 0*p**3 + 1/9*p**6 - 2/15*p**5 - 1. Let t(x) = 0. Calculate x.
0, 1
Let r(j) be the first derivative of 0*j - 1/6*j**2 - 1/30*j**5 + 5/24*j**4 - 1/12*j**6 + 23 + 1/18*j**3. Determine i, given that r(i) = 0.
-1, 0, 2/3, 1
Solve 2/5*u**2 + 1/5*u**4 + 0*u - 3/5*u**3 + 0 = 0 for u.
0, 1, 2
Let g(f) be the first derivative of f**4/30 - 2*f**3/5 - 7*f**2/5 - 29*f - 7. Let i(w) be the first derivative of g(w). Let i(u) = 0. What is u?
-1, 7
Let x(g) be the second derivative of 3*g**5/20 + 11*g**4/4 - 25*g**3/2 + 39*g**2/2 - 83*g - 1. Factor x(k).
3*(k - 1)**2*(k + 13)
Let v(w) be the first derivative of w**3/21 + 3*w**2/2 - 229. Factor v(s).
s*(s + 21)/7
Let d(b) be the first derivative of b**6/1440 + b**5/120 + b**4/32 + 4*b**3/3 + 8. Let x(a) be the third derivative of d(a). Factor x(t).
(t + 1)*(t + 3)/4
Let g(j) = -5*j - 3. Let b be g(-1). Factor -4*u**3 - 13 + 15*u**b + 9*u**2 - 21 + 16*u + 2 - 4*u**4.
-4*(u - 2)*(u - 1)*(u + 2)**2
Suppose 10*d = 463 - 373. Let k(o) be the first derivative of -12*o - 5*o**3 - 3/4*o**4 - 12*o**2 + d. Find g such that k(g) = 0.
-2, -1
Let g(y) be the third derivative of y**6/480 - 17*y**5/48 + 1763*y**4/96 + 1849*y**3/24 - 4*y**2. Factor g(w).
(w - 43)**2*(w + 1)/4
Let v = -5773/9 - -643. Let 0*w + 8/9*w**3 - v*w**5 + 0 - 8/3*w**4 + 0*w**2 = 0. What is w?
-2, 0, 2/7
Let u(b) = 7*b**2 - 37*b + 22. Let w(s) = 5*s**2 - 25*s + 15. Let a(j) = j**2 + 3*j - 15. Let v be a(-5). Let o(y) = v*u(y) + 8*w(y). Find t such that o(t) = 0.
1, 2
Suppose -4*z + 7*z = -228. Let m = -47 - z. What is i in m*i**3 + 2*i + 0*i**2 + 2 + 21*i**3 - 52*i**3 - 2*i**2 = 0?
-1, 1
Let d = 481 - 479. Let w(l) be the second derivative of -4*l + 0 + 1/2*l**d + 1/12*l**4 + 1/3*l**3. Factor w(f).
(f + 1)**2
Find t, given that -14/19*t**3 - 22/19*t**4 + 22/19*t**2 + 8/19*t**5 + 6/19*t + 0 = 0.
-1, -1/4, 0, 1, 3
Suppose -q - 7 = -1. Let m be q/(-9) + 2/6. Determine v, given that -6*v**2 + m + 8*v**3 + 4*v + 1 - 8*v**2 = 0.
-1/4, 1
Let l(d) be the third derivative of 2/1155*d**7 + 0*d**4 - 1/3696*d**8 - d**2 + 0*d**3 + 0*d**5 - 1/440*d**6 + 0*d + 22. Factor l(k).
-k**3*(k - 3)*(k - 1)/11
Let u(v) be the third derivative of v**6/380 + 13*v**5/285 + 35*v**4/228 - 325*v**2. Factor u(m).
2*m*(m + 7)*(3*m + 5)/19
Let j(a) be the third derivative of -a**5/12 - 10*a**4/3 - 15*a**2 + 2. Determine z so that j(z) = 0.
-16, 0
Let b(y) be the first derivative of -y**6/24 + y**5/4 - y**4/8 - 2*y**3/3 + 149. Determine o so that b(o) = 0.
-1, 0, 2, 4
Let b(a) be the second derivative of 3*a**5/70 - 10*a**4/21 + 44*a**3/21 - 32*a**2/7 + 2*a + 9. Factor b(y).
2*(y - 2)**2*(3*y - 8)/7
Let h(u) = -u**3 - 23*u**2 - 41*u + 19. Let a be h(-21). Let y(n) = n - 1. Let j(q) = q**3 - 8*q**2 - 3*q + 10. Let d(l) = a*j(l) - 4*y(l). Factor d(k).
-2*(k - 8)*(k - 1)*(k + 1)
Let z(p) = 2*p**2 - 44*p**2 + 30 + 3*p**5 + 3*p**4 + 18 - 6*p**3. Let q(x) = x**4 - x**3 - x**2. Let s(f) = 6*q(f) + z(f). Factor s(w).
3*(w - 2)*(w - 1)*(w + 2)**3
Find r, given that -r + 2*r**3 - 7 + 5 - 6*r - r**3 + 4*r = 0.
-1, 2
Let j(l) be the first derivative of -l**3/3 - 2*l**2 + 8*l + 17. Let m be j(-5). Let -2*n - 5/2*n**m + 4*n**2 + 1/2*n**4 + 0 = 0. What is n?
0, 1, 2
Suppose -921 = 194*u - 3249. Determine s so that 24*s + 0 + u*s**2 + 3/2*s**3 = 0.
-4, 0
Let i(g) be the third derivative of g**8/224 + 3*g**7/70 + 11*g**6/80 + g**5/20 - 3*g**4/4 - 2*g**3 - 2*g**2 + 258*g. Suppose i(r) = 0. What is r?
-2, -1, 1
Let c(q) be the second derivative of 27*q**5/20 - 25*q**4/4 - 3*q**3 - q - 49. Factor c(o).
3*o*(o - 3)*(9*o + 2)
Suppose 7*r - 16 = -9*r. Let a be r*(-4)/(-6)*(-234)/(-52). Factor -2/11*p**2 - 2/11*p + 2/11*p**a + 2/11.
2*(p - 1)**2*(p + 1)/11
Let g(i) be the third derivative of 0*i + 4*i**2 - 1/30*i**6 - 4/105*i**7 + 0 + 1/84*i**8 + 0*i**4 + 2/15*i**5 + 0*i**3. Determine f, given that g(f) = 0.
-1, 0, 1, 2
Suppose s + 0*s + 3 = l, -17 = -4*l - s. Let t be 136/153*(-27)/(-6). Let -11*n + l*n**2 - 8*n**3 - 4*n**2 + t*n**4 + 19*n - 4 = 0. What is n?
-1, 1
Let j(c) be the first derivative of -c**9/1512 - c**8/280 - c**7/210 - 11*c**3/3 + 27. Let i(m) be the third derivative of j(m). Factor i(u).
-2*u**3*(u + 1)*(u + 2)
Let p = -33 - -29. Let c be ((-1 - 4) + 3)/p. Find j such that -1/4*j + 0 + c*j**3 - 1/4*j**2 = 0.
-1/2, 0, 1
Let h(b) = b - 14*b**3 - 1 - b**4 + 0 + 13*b**3 - b**2. Let p(v) = -8*v**4 - 8*v**3 - 2*v**2 + 8*v - 5. Let x(q) = -5*h(q) + p(q). Find n, given that x(n) = 0.
-1, 0, 1
Suppose 