 143*c**4/3 - 484*c**3/3 - 29*c**2 + 3*c. Factor v(z).
-2*(z - 11)**2*(z - 2)**2
What is k in 4/3*k + 2/15*k**2 + 0 = 0?
-10, 0
Solve 2*n**3 - 154*n - 1/4*n**4 + 69/2*n**2 - 5929/4 = 0 for n.
-7, 11
Let f(g) be the first derivative of 81/5*g - 7 - 3/20*g**4 + 9/5*g**3 - 81/10*g**2. What is z in f(z) = 0?
3
Suppose -3/7*m**4 + 0 + 0*m + 0*m**2 + 0*m**3 + 3/7*m**5 = 0. What is m?
0, 1
Let g be -2 - ((-2)/11 - 2). Let w be ((-427)/(-49) + -9)*-14. Solve 0 - 2/11*d**w + 0*d - g*d**2 + 4/11*d**3 = 0 for d.
0, 1
Let m(c) = -c**4 - 36*c**3 - 98*c**2 - 100*c - 45. Let f(x) = -x**2 + 3. Let h(g) = 20*f(g) + 5*m(g). Let h(k) = 0. Calculate k.
-33, -1
Suppose 3*x = -9*o + 7*o + 8, -14 = -5*x - 4*o. Let z(u) be the third derivative of 2*u**x - 1/80*u**5 + 0 + 0*u + 1/480*u**6 + 0*u**3 + 1/48*u**4. Factor z(t).
t*(t - 2)*(t - 1)/4
Determine t, given that 103*t**2 - 211*t**2 + 65*t + 103*t**2 - 60 = 0.
1, 12
Let d be (-6)/15 + 26/(-10). Let l = 5 + d. Factor -6*p - 7*p**l + 6*p**2 + 4 + 3*p**2.
2*(p - 2)*(p - 1)
Let d = 349 - 347. Let y = -6 - -15/2. Factor -1/2*v - 1/2*v**4 - 1 + y*v**d + 1/2*v**3.
-(v - 2)*(v - 1)*(v + 1)**2/2
Factor -3*a**2 - 423*a - 1132 - 5321 - 9*a - 9099.
-3*(a + 72)**2
Let y(b) = -26*b**2 - 288*b - 112. Let u(n) = -53*n**2 - 576*n - 224. Let h(k) = 6*u(k) - 13*y(k). Factor h(i).
4*(i + 14)*(5*i + 2)
Let r(j) be the first derivative of 1/3*j**3 - 21 + j**2 - 3*j. Factor r(u).
(u - 1)*(u + 3)
Let -58/3*q - 14/3*q**3 + 18*q**2 - 2/3*q**4 + 20/3 = 0. What is q?
-10, 1
Let i(c) be the third derivative of -5/192*c**4 - 1/960*c**6 + 0*c + 0 + 1/24*c**3 + 1/120*c**5 + 16*c**2. Suppose i(k) = 0. What is k?
1, 2
Let a(s) be the second derivative of 0*s**2 + 0*s**3 + 0 - 10*s + 1/18*s**4 + 1/60*s**5 - 1/126*s**7 - 1/45*s**6. Let a(j) = 0. Calculate j.
-2, -1, 0, 1
Suppose -2*v - 47 = k - 76, 5*v + 3*k = 71. Let j(n) be the first derivative of 4/5*n**5 - 4*n**3 + 2*n**4 - 16*n - v*n**2 + 6. Factor j(a).
4*(a - 2)*(a + 1)**2*(a + 2)
Let w(k) = k**3 - 2*k**2 - 1. Let s(a) = 3*a**4 + 24*a**3 + 51*a**2 + 21*a + 3. Let c(l) = -s(l) - 3*w(l). Find z, given that c(z) = 0.
-7, -1, 0
Let j(f) be the first derivative of -f**6/120 - 2*f + 14. Let k(n) be the first derivative of j(n). Suppose k(v) = 0. Calculate v.
0
Suppose 0 = v + 3*p - 19 - 3, 0 = 2*v + p - 19. Factor -5 + 74*r**3 + 74*r**3 + 4*r - v + 12*r**2 - 152*r**3.
-4*(r - 3)*(r - 1)*(r + 1)
Let l(k) be the second derivative of -1/15*k**6 + 29*k + 0*k**4 + 0*k**2 + 0 - 1/40*k**5 + 0*k**3. Suppose l(g) = 0. Calculate g.
-1/4, 0
Let h(r) be the second derivative of r**5/80 + 7*r**4/48 + r**3/4 + 88*r. Let h(s) = 0. What is s?
-6, -1, 0
Let v(y) = -7*y**4 - 53*y**3 - 169*y**2 - 197*y - 80. Let r(j) = -30*j**4 - 213*j**3 - 675*j**2 - 786*j - 321. Let t(z) = -2*r(z) + 9*v(z). Factor t(o).
-3*(o + 1)**2*(o + 2)*(o + 13)
Let j(y) = 10*y**2 + 70*y + 10. Let k(o) = 9*o**2 + 71*o + 8. Let g(w) = -4*j(w) + 5*k(w). Factor g(i).
5*i*(i + 15)
Let m(b) be the first derivative of 3 + 1/9*b**2 - 2/27*b**3 + 4/9*b. What is r in m(r) = 0?
-1, 2
Let q = -16 - -18. Suppose -q*d + 2 = -8. Factor 14*c**2 + 7*c**2 + 6*c + d*c**3 - 4*c**2.
c*(c + 3)*(5*c + 2)
Let h(m) be the first derivative of m**8/2800 - m**7/350 - 17*m**3/3 - 22. Let a(i) be the third derivative of h(i). Solve a(k) = 0.
0, 4
Suppose -3*c + 6 = -4*j, 3*j + 5*c = 4 + 6. Let l(y) be the third derivative of 0*y + 4/3*y**3 - 1/2*y**4 + j - 9*y**2 + 1/15*y**5. Factor l(d).
4*(d - 2)*(d - 1)
Let c(l) be the first derivative of l**6/4 - 27*l**5/10 + 39*l**4/8 + 9*l**3/2 - 21*l**2/2 + 498. Determine m so that c(m) = 0.
-1, 0, 1, 2, 7
Let x be -10*8/(-20) - 2. Find z such that 2*z**2 + 5*z**4 - 57*z**3 + x*z + 4*z**5 + 51*z**3 - 7*z**4 = 0.
-1, -1/2, 0, 1
Let k(z) = 4*z**3 - 10*z**2 - 38*z - 12. Let b(i) = 5*i**3 - 9*i**2 - 40*i - 12. Let q(t) = 6*b(t) - 7*k(t). Find y such that q(y) = 0.
-6, -1
Let v(i) be the second derivative of i**5/30 + 7*i**4/18 + 4*i**3/9 - 4*i**2 - 35*i. Factor v(c).
2*(c - 1)*(c + 2)*(c + 6)/3
Let m(j) be the second derivative of -j**6/6 + 15*j**5/4 - 35*j**4 + 520*j**3/3 - 480*j**2 + 319*j. Find b, given that m(b) = 0.
3, 4
Factor 36*y**5 + 8*y**2 + 96*y**4 - y**5 + y**5 + 52*y**3.
4*y**2*(y + 2)*(3*y + 1)**2
Let k be 2 - 8*1/2. Let a be ((-400)/(-195) + k)/((-3)/(-9)). Factor a*v**2 + 2/13*v + 0.
2*v*(v + 1)/13
Let u(y) be the second derivative of 0*y**3 + 0*y**4 - 5/2*y**2 - 5*y + 1/60*y**6 + 0 + 1/90*y**5. Let j(m) be the first derivative of u(m). Factor j(b).
2*b**2*(3*b + 1)/3
Let w(j) be the first derivative of 4*j**3 - 58*j**2 - 40*j - 175. Determine v so that w(v) = 0.
-1/3, 10
Let a(k) be the third derivative of -k**8/336 + 37*k**7/70 - 574*k**6/15 + 20776*k**5/15 - 21952*k**4 - 307328*k**3/3 - 151*k**2. Factor a(m).
-(m - 28)**4*(m + 1)
Suppose -2*c - f = -10, 11 = c + 5*f - 12. Factor -4*y - 4*y + 20*y**4 - 48*y**2 - 18*y**c + 2*y**4.
2*y*(y - 2)*(y + 1)*(11*y + 2)
Suppose 13 = 3*x + 10. Let r be 3/(-9)*(-10 + x). Factor 4*b**5 + 3*b**r + 4*b**3 + 4*b**2 + 5*b**3 + 12*b**4.
4*b**2*(b + 1)**3
Let 0*x**4 - 3*x**3 + 12/5*x + 0 + 0*x**2 + 3/5*x**5 = 0. Calculate x.
-2, -1, 0, 1, 2
Factor 0*x**2 + 6/7*x - 3/7*x**4 - 6/7*x**3 + 3/7.
-3*(x - 1)*(x + 1)**3/7
Let t(v) = -v + 1. Let h be t(-1). Let k = 959/2472 + -4/309. Suppose -k*a - 3/8*a**3 + 0 + 3/4*a**h = 0. Calculate a.
0, 1
Let y be -2 + 4 - 2/(3 + (8 - 10)). Determine h so that 8/5*h**2 + 0*h - 84/5*h**4 - 4/5*h**3 + y = 0.
-1/3, 0, 2/7
Let g = 8 - 5. Factor -23*b + 3*b**2 + b**g + 23*b.
b**2*(b + 3)
Let u = -117 - -117. Let q(i) be the second derivative of 1/5*i**6 + 0*i**2 + 3*i + u + 0*i**5 + 1/14*i**7 - 1/2*i**4 - 1/2*i**3. Factor q(a).
3*a*(a - 1)*(a + 1)**3
Let z(v) be the first derivative of -2*v**3/15 + 2*v**2/5 + 6*v/5 - 86. Factor z(l).
-2*(l - 3)*(l + 1)/5
Determine b, given that -2/5*b**2 - 4/5 - 1/5*b**3 + 7/5*b = 0.
-4, 1
Let p(f) be the third derivative of -5*f**8/252 - 26*f**7/315 + f**6/90 + 17*f**5/45 + 2*f**4/9 - 8*f**3/9 + 14*f**2 + 1. Find b such that p(b) = 0.
-2, -1, 2/5, 1
Let h(u) be the third derivative of -u**6/3420 + u**4/228 + 4*u**3/3 + 7*u**2. Let a(g) be the first derivative of h(g). Let a(w) = 0. What is w?
-1, 1
Let c(g) = 8*g**4 + 82*g**3 + 17*g**2 + 17. Let o(u) = u**4 + 10*u**3 + 2*u**2 + 2. Let z(s) = -6*c(s) + 51*o(s). What is p in z(p) = 0?
-6, 0
Suppose 3/4*o**3 + 0 - 1/2*o**2 + 0*o = 0. What is o?
0, 2/3
Let y(k) be the second derivative of -5*k**7/42 - 23*k**6/6 + 49*k**5/4 - 125*k**4/12 + 519*k. Let y(a) = 0. What is a?
-25, 0, 1
Let b be (-5)/18*(-4)/5 + (-77)/(-18). Solve 14*t**4 + 0*t + 93/4*t**3 + b*t**2 + 0 + 9/4*t**5 = 0.
-3, -2/9, 0
Let i(g) be the second derivative of g**4/20 - 18*g**3/5 + 102*g**2/5 - 191*g - 2. What is d in i(d) = 0?
2, 34
Let m(l) = -6*l - 4. Let r be m(1). Let j be 2 - (42/r - -6). Find h such that -j*h**2 - 1/5 + 2/5*h = 0.
1
Let y(s) = -158*s**3 - 333*s**2 - 157*s + 23. Let g(c) = 80*c**3 + 166*c**2 + 78*c - 10. Let l(q) = -5*g(q) - 2*y(q). Suppose l(f) = 0. What is f?
-1, 1/21
Let m(f) = 2*f + 22. Let u be m(-8). Let g(h) be the first derivative of 0*h + 0*h**2 + 6*h**4 + 1/2*h**u + 3*h**5 + 4*h**3 + 2. Factor g(l).
3*l**2*(l + 1)*(l + 2)**2
Suppose -c + 2 = -3. Let x = 4 + c. Suppose r**4 + 4*r**2 - 2*r**3 - 7*r - 5*r**2 + 0*r**3 + x*r = 0. Calculate r.
-1, 0, 1, 2
Factor -14*c**3 + 80 - 157 - 284*c**2 - 85 - 94 - 24*c - 952*c.
-2*(c + 4)*(c + 16)*(7*c + 2)
Let m = 2380 - 2378. Find u, given that -2/17*u**3 - 2/17*u**m + 8/17*u + 8/17 = 0.
-2, -1, 2
Let c(f) = 8*f**2 - 53*f + 53. Let k(z) = 5*z**2 - 35*z + 35. Let v(x) = 5*c(x) - 7*k(x). Factor v(w).
5*(w - 2)**2
Let j(q) = 20*q**4 + 15*q**3 - 60*q**2 - 35*q - 5. Let g(h) = h**4 + 2*h**3 + h**2 + 2*h + 1. Let r(w) = -25*g(w) + j(w). Factor r(k).
-5*(k + 1)**2*(k + 2)*(k + 3)
Let j(u) = 11*u**3 + 17*u**2 - 81*u - 61. Let s(p) = 5*p**3 + 7*p**2 - 40*p - 30. Let y(f) = -6*j(f) + 13*s(f). Let y(i) = 0. What is i?
-6, -4, -1
Let t(m) be the third derivative of -1/360*m**6 + 1/18*m**5 + 0*m**3 + 0 - 25/72*m**4 + 18*m**2 + 0*m. Determine n, given that t(n) = 0.
0, 5
Let o(w) be the second derivative of 4/3*w**3 + 12*w - 2/5*w**5 - 5/3*w**4 + 0*w**2 + 2/3*w**6 + 0. Determine n, given that o(n) = 0.
-1, 0, 2/5, 1
Let g(h) be the second derivative of -1/