erivative of -2/3*v**3 - 2*v**2 - g + 6*v. Factor h(m).
-2*(m - 1)*(m + 3)
Let l be 6/(-2) - (-5)/1. Let y = 1 + 3. Factor 2*q**3 + 38 - q**l - q**y - 38.
-q**2*(q - 1)**2
Let f = -469 + 469. Let j(z) be the second derivative of 1/30*z**4 - z + f + 1/5*z**3 + 2/5*z**2. Factor j(s).
2*(s + 1)*(s + 2)/5
Let x(c) = c**3 - c**2 - 20*c + 24. Let b = 18 - 22. Let w(d) = 20*d - 25. Let s(t) = b*w(t) - 5*x(t). Find q such that s(q) = 0.
-2, 1, 2
Let s be (-30 + 10)/(1*-1). Suppose -1 = -3*i + 8. Factor l - 23*l**i - l + s*l**3 + 3*l**5.
3*l**3*(l - 1)*(l + 1)
Suppose -2*w - 10 + 3 = -5*p, -3*w - 3*p = -21. Factor -9*i**w + 14*i**4 - 6*i**3 - i**5 + 0*i**5.
-i**3*(i - 3)*(i - 2)
Let c be (52/10)/2 - 27*11/495. Factor -4/11 + 8/11*k**c + 14/11*k.
2*(k + 2)*(4*k - 1)/11
Let q(y) be the second derivative of 7*y - 13/4*y**4 - 9/20*y**5 - 24*y**2 - 1/40*y**6 + 0 - 12*y**3. Determine w, given that q(w) = 0.
-4, -2
Let j be 1 + 10/(-7) + (-424)/252. Let k = j - -22/9. Determine i so that 2/3*i**3 - 1/3*i + 1/3 - 2/3*i**2 + k*i**4 - 1/3*i**5 = 0.
-1, 1
Let c(o) = -o**2 + 75*o - 701. Let j be c(11). Factor f**j - 1/4*f**2 - 5/4*f**4 + 0*f + 0 + 1/2*f**5.
f**2*(f - 1)**2*(2*f - 1)/4
Let o(r) = 2*r**3 - r**2 + r. Let y(c) = -c**4 - 7*c**3 + 6*c**2 + 2*c + 2. Let x(w) = 3*o(w) + y(w). Factor x(j).
-(j - 2)*(j + 1)**3
Let a(h) = -h**4 + 3*h**3 + 7*h**2 - 3*h - 6. Let b(g) = 4 + 74*g**2 - g**4 + 4*g**3 - 66*g**2 - 11 - 4*g. Let o(l) = -7*a(l) + 6*b(l). What is i in o(i) = 0?
-3, -1, 0, 1
Factor -61*i + 225*i - 5*i**2 + 216*i - 7220.
-5*(i - 38)**2
Let o(t) be the first derivative of 1/5*t**5 + 0*t**2 - 2/3*t**4 - 4*t - 2*t**3 + 2. Let u(w) be the first derivative of o(w). Factor u(d).
4*d*(d - 3)*(d + 1)
What is w in 0 - 29/7*w**2 - 3/7*w**4 - 15/7*w + 47/7*w**3 = 0?
-1/3, 0, 1, 15
Let n be ((-6664)/126)/(-17) + 2/(-18). Suppose -3*y + n + 3/4*y**2 = 0. What is y?
2
Factor -280 + 30*h**3 - 6*h**4 + 60*h + 11*h**4 + 65*h**2 + 300.
5*(h + 1)**2*(h + 2)**2
Let 2*v**5 - 14*v**2 - 6*v**3 + 0*v**3 - 1125*v**4 + 12*v + 1131*v**4 = 0. Calculate v.
-3, -2, 0, 1
Let j(m) = -6 + 4*m**2 - 6*m**3 - 2 - m**2 + 0*m**3 + m. Let g(z) = -5*z**3 - 3 + 2*z**2 + z + z**2 - 4. Let u(w) = -5*g(w) + 4*j(w). Solve u(o) = 0 for o.
-1, 1, 3
Let b be (-1 + (-6)/(-5))/((-21)/(-45)). What is a in 6/7*a**3 - 6/7*a**2 - 3/7*a - 3/7*a**5 + b*a**4 + 3/7 = 0?
-1, 1
Let f = -52 + 52. Let w(q) be the third derivative of f*q**6 + 0 + 0*q**3 + 0*q + 1/105*q**7 + 5*q**2 - 1/6*q**4 - 1/10*q**5. Factor w(j).
2*j*(j - 2)*(j + 1)**2
Factor 0 + 0*n + 4/13*n**2 - 2/13*n**3.
-2*n**2*(n - 2)/13
Let j(r) be the second derivative of -r**5/50 + r**4/10 - 2*r**3/15 + 467*r. Factor j(v).
-2*v*(v - 2)*(v - 1)/5
Let p(h) be the first derivative of h**6/30 + h**5/10 + h**4/12 + 5*h**2/2 + 16. Let b(y) be the second derivative of p(y). What is i in b(i) = 0?
-1, -1/2, 0
Let y(m) be the second derivative of -m**5/240 + 13*m**4/48 - 169*m**3/24 - 33*m**2/2 + 25*m. Let w(q) be the first derivative of y(q). Factor w(x).
-(x - 13)**2/4
Suppose -13*l + 2538 = 5*l. Let d = -141 + l. Factor 0*q + d + 2/3*q**3 - 4/3*q**2.
2*q**2*(q - 2)/3
Let l(m) = -m**2 + 17*m**3 - 5*m**2 + m + 4*m**2. Let y be l(1). Suppose 36*h**3 + 59*h**4 - y*h**2 - 36*h**2 + 64*h**5 + 101*h**4 + 8*h = 0. Calculate h.
-2, -1, 0, 1/4
Let q be (-5)/(-12)*(-6)/(-20). Suppose -55*n = -65*n + 30. Solve q + 3/8*k**4 - 1/2*k**2 - 1/4*k + 1/4*k**n = 0.
-1, 1/3, 1
Let d be (-3 + 6/4)*-6. Factor 4*z**3 - 2*z**4 - 1 - 6*z**2 - 8*z + 7*z**3 + d - 3*z**3.
-2*(z - 2)**2*(z - 1)*(z + 1)
Let 0*n - 6826*n**3 + 6824*n**3 + 0*n = 0. Calculate n.
0
Let p(h) be the first derivative of -5/2*h**6 + 0*h + 20*h**3 + 12*h**2 - 9/2*h**4 - 51/5*h**5 - 5. Determine b so that p(b) = 0.
-2, -2/5, 0, 1
Let c(h) be the third derivative of -h**6/24 - 5*h**5/6 + 5*h**4/24 + 25*h**3/3 + 2*h**2 + 112*h. Find x such that c(x) = 0.
-10, -1, 1
Let j(x) be the third derivative of 3/14*x**3 + 1/56*x**4 + 3/490*x**7 - 3/70*x**5 + 1/784*x**8 + 0*x + 0 + 42*x**2 - 1/140*x**6. Find o such that j(o) = 0.
-3, -1, 1
Let r(p) be the first derivative of -p**5/5 - p**4/4 + 10*p**3/3 - 4*p**2 + 59. What is m in r(m) = 0?
-4, 0, 1, 2
Factor 4232/3 + 2/3*q**2 - 184/3*q.
2*(q - 46)**2/3
Let d(t) = t**3 + 18*t**2 + 5. Let u(c) = c - 9. Let i be u(-9). Let k be d(i). Factor 1/2*z**k - z**2 + z**3 - 3/2*z + 3/2*z**4 - 1/2.
(z - 1)*(z + 1)**4/2
Let x = 3791/75 - 447/25. Factor -2/3*u**3 + x - 26/3*u**2 - 70/3*u.
-2*(u - 1)*(u + 7)**2/3
Let x(h) be the third derivative of -h**6/140 + 67*h**5/210 + 7*h**4/3 + 100*h**3/21 - 669*h**2. Suppose x(t) = 0. Calculate t.
-2, -2/3, 25
Suppose 0 = 3*f - 156 + 174. Let s be 3/(-5)*20/f. Factor -2/7 - 2/7*x**3 + 2/7*x + 2/7*x**s.
-2*(x - 1)**2*(x + 1)/7
Let g(y) = -y**2 - 9*y + 22. Let i(x) = -x**2 - 17*x + 46. Let s(w) = -7*g(w) + 3*i(w). Let s(q) = 0. What is q?
-4, 1
Let m(w) = -w**2. Let x(r) = -r**2 - 2*r. Let j = -1 + 4. Suppose -1 = -2*g - 0*k - j*k, 4*g - 3 = -5*k. Let v(h) = g*x(h) - 6*m(h). Factor v(o).
4*o*(o - 1)
What is s in 7*s + 1/2*s**2 - 16 = 0?
-16, 2
Let f be ((-12)/24)/(1/(-40)*4). Let y(h) be the first derivative of 3/5*h**f + h**3 - 9/2*h**2 + 3 - 6*h + 9/4*h**4. Factor y(w).
3*(w - 1)*(w + 1)**2*(w + 2)
Suppose 7*g - 12*g + 10 = 0. Factor 68*i**2 + 4*i**4 - g*i**4 - 4*i**3 - 66*i**2.
2*i**2*(i - 1)**2
Let k(n) = n**2 - 13*n + 5. Let s be k(13). Let m be (2 - -2) + 3 - s. Find w such that 12/13*w + 18/13 + 2/13*w**m = 0.
-3
Let v = -28 - 6. Let k be (2 - 0) + 2 + v/10. Factor -k*z**4 + 3/5*z**2 + 3/5*z**3 + 0 - 3/5*z.
-3*z*(z - 1)**2*(z + 1)/5
Suppose -8 + 4/9*f**3 - 32/9*f**2 + 28/3*f = 0. Calculate f.
2, 3
Let a(g) be the third derivative of g**5/50 + 13*g**4/10 - 56*g**3/5 - 2*g**2 + 54. Factor a(s).
6*(s - 2)*(s + 28)/5
Let r(m) = 41*m + 1517. Let s be r(-37). Find w, given that 2/15*w + 2/15*w**5 + 4/5*w**3 + s - 8/15*w**4 - 8/15*w**2 = 0.
0, 1
Factor 12*s**4 + 2*s**3 + 10*s**3 - 1 + s**3 - 35 + 5*s**3 - 96*s**2 + 105*s - 3*s**5.
-3*(s - 4)*(s - 1)**3*(s + 3)
Let s(w) = -10*w**2 - 26*w + 29. Let u(z) = -7*z**2 - 17*z + 19. Let q(i) = 5*s(i) - 7*u(i). Factor q(f).
-(f - 1)*(f + 12)
Let h(c) be the second derivative of c**8/1680 - c**7/280 + c**6/120 - c**5/120 + c**3/6 + 10*c. Let w(y) be the second derivative of h(y). Factor w(i).
i*(i - 1)**3
Factor 31/4*g + 27/2 + 1/2*g**2.
(g + 2)*(2*g + 27)/4
Let u(g) = g**4 - g**3 - g**2 - g. Let v(o) = 3*o**4 + 13*o**3 + 25*o**2 - 245*o. Let h(d) = -6*u(d) + 3*v(d). Factor h(f).
3*f*(f - 3)*(f + 9)**2
Let z(w) be the second derivative of -1/16*w**4 - 6*w + 1/4*w**3 + 0 - 3/8*w**2. Factor z(t).
-3*(t - 1)**2/4
Let y = 69 - 61. Solve 20 + 4*w - 17 - 11 - 4*w**3 + y*w**2 = 0 for w.
-1, 1, 2
Let a(g) be the third derivative of 9*g**6/40 - 47*g**5/20 + 23*g**4/4 - 4*g**3 - 2*g**2. Solve a(d) = 0 for d.
2/9, 1, 4
Let t(v) be the second derivative of -v**6/6 + 33*v**5/4 - 285*v**4/4 + 405*v**3/2 - 205*v. Solve t(q) = 0 for q.
0, 3, 27
Let l(o) be the third derivative of 0*o**3 + 0*o + 0*o**6 + 0*o**4 + 13*o**2 + 0 + 0*o**5 - 1/210*o**7. Solve l(j) = 0 for j.
0
Let i(h) = 2*h**2 - 2*h + 3. Let f(a) = 2*a**2 - a + 2. Let y(r) = 5*f(r) - 4*i(r). Let l be y(-3). Factor 0*t**4 - 6 + t**4 + l - t**2 - t**2.
(t - 1)**2*(t + 1)**2
Let c(s) be the third derivative of -s**6/240 - 2*s**5/15 + 35*s**4/48 - 3*s**3/2 + s**2 - 82*s. Solve c(p) = 0 for p.
-18, 1
Let i(q) be the third derivative of q**8/80640 - q**7/6720 - 13*q**5/60 + 14*q**2. Let b(n) be the third derivative of i(n). Find g, given that b(g) = 0.
0, 3
Let q(c) be the third derivative of 1/168*c**8 + 1/12*c**4 + 0 + 2/15*c**5 - 2/105*c**7 - 2/3*c**3 - 28*c**2 + 0*c - 1/30*c**6. Find z, given that q(z) = 0.
-1, 1, 2
Suppose 0*l = l. Let c(t) be the third derivative of l*t**4 - 1/90*t**5 + 0 + 0*t - 4*t**2 + 0*t**3 + 1/105*t**7 + 1/90*t**6. Determine o so that c(o) = 0.
-1, 0, 1/3
Let s(f) be the first derivative of -f**7/3360 - f**6/240 + f**5/480 + f**4/16 + 7*f**3/3 + 29. Let y(a) be the third derivative of s(a). Factor y(o).
-(o - 1)*(o + 1)*(o + 6)/4
Let a(u) be the first derivative of -5*u**3/3 + 440*u**2 - 118. Solve a(w) = 0.
0, 176
Let a be -9 + (16 - 12) + 7. Factor -2/3*o**2 - 8/3*o - a.
-2*(o + 1)*(o + 3)/3
Let r(z) = z. Let y be r(6). Suppose 6 = -2*f, -2*