p - p**4 = 0. What is p?
-5, -2
Let z be 2*(-311)/2*6/(-30). Let a = 63 - z. Suppose 0*g**2 - 8/5*g**3 + 8/5*g - a*g**4 + 4/5 = 0. Calculate g.
-1, 1
Let b(l) be the second derivative of 8*l**6/15 + 23*l**5/5 + 10*l**4 + 14*l**3/3 - 8*l**2 - 10*l + 5. Let b(j) = 0. What is j?
-4, -1, 1/4
Let p(m) = -5*m**2 + 10*m + 9. Let b(t) = -2*t**2 + t - 1. Let w(z) = -3*b(z) + p(z). Factor w(s).
(s + 3)*(s + 4)
Let c(o) be the second derivative of o**7/168 - o**5/20 + o**4/24 + o**3/8 - o**2/4 - 109*o. Suppose c(b) = 0. What is b?
-2, -1, 1
Let a(n) be the third derivative of -1/100*n**5 + 0*n + 1/10*n**3 + 0 + 0*n**4 + 4*n**2. Factor a(l).
-3*(l - 1)*(l + 1)/5
Suppose 2*s = 3*w + 5*s - 39, 2*w - 36 = -4*s. Let r be 6/(-14)*(-28)/w. Solve 9/2*u**3 - r*u**4 - 3/2*u**2 - 9/2*u + 3 = 0.
-1, 1, 2
Find q such that -1/5*q**4 - 3/5*q - 7/5*q**2 - q**3 + 0 = 0.
-3, -1, 0
Find j such that 16*j + 11*j - 2*j**3 - 16 - 2*j**2 + 14*j - 21*j + 0*j**2 = 0.
-4, 1, 2
Solve -87/5*k**2 - 3/5*k**3 + 135 - 117*k = 0 for k.
-15, 1
Let u be ((-3)/(-9))/((-34)/(-408)). Let y(x) be the first derivative of -3/2*x**u + 3/5*x**5 + 0*x**3 + 9 + 3*x**2 - 3*x. Factor y(z).
3*(z - 1)**3*(z + 1)
Let f(a) be the first derivative of -a**7/49 - 2*a**6/21 - 2*a**5/35 + 4*a**4/21 - 14*a + 13. Let i(p) be the first derivative of f(p). Factor i(u).
-2*u**2*(u + 2)**2*(3*u - 2)/7
Let d(y) be the second derivative of y**6/15 - 11*y**5/10 - 13*y**4/6 + 11*y**3/3 + 12*y**2 - 39*y. Let d(s) = 0. Calculate s.
-1, 1, 12
Let c(g) = g**2 - 10*g - 5. Let y(u) = -1. Let f(s) = -c(s) + 5*y(s). Let m be f(10). Factor m*r + 1/2*r**2 - 1/2*r**5 - 1/2*r**4 + 0 + 1/2*r**3.
-r**2*(r - 1)*(r + 1)**2/2
Factor 41 + 35 + 66 + 8 + 4*m**2 + 44*m - 30.
4*(m + 5)*(m + 6)
Let a(g) be the first derivative of -5*g**2/2 - 65*g + 66. Let p be a(-13). Factor -14/9*y**4 + 0 - 2/9*y**2 + p*y + 2/3*y**5 + 10/9*y**3.
2*y**2*(y - 1)**2*(3*y - 1)/9
Let h(n) be the third derivative of n**5/5 + 99*n**4/8 - 25*n**3/2 - 193*n**2. Solve h(l) = 0.
-25, 1/4
Let b(s) be the second derivative of 11*s**4/24 - 35*s**3/36 + s**2/6 - 48*s. Determine y, given that b(y) = 0.
2/33, 1
Let w(t) be the third derivative of t**8/784 - t**7/245 - 3*t**6/280 - 335*t**2. Let w(y) = 0. What is y?
-1, 0, 3
Factor -46*o + 4563 - 628*o**2 + 631*o**2 + 280*o.
3*(o + 39)**2
Let b(k) be the first derivative of -k**4/18 + 4*k**3/27 - k**2/9 - 205. Factor b(i).
-2*i*(i - 1)**2/9
Let f be ((-8)/12)/((-2)/6). Factor 4*j - 4*j**2 + 12*j**f - 4*j - 6*j.
2*j*(4*j - 3)
Suppose 0 = -4*f - 3*t + 969, -495 = -2*f - 19*t + 14*t. Suppose -200*m - 96*m**3 + f*m**2 + 500/9 = 0. Calculate m.
5/6
Suppose -5*b + 125 = -5*n, -b + 2*n - 22 = -2*b. Let -32*z**3 - 4*z**5 + 5*z**4 - 4*z**3 + b*z**2 + 13*z**4 + z**5 = 0. Calculate z.
0, 2
Let p = -96 - -113. Suppose 3*q = p - 5. Factor -4/3 + l**2 + 1/3*l**q + 4/3*l**3 - 4/3*l.
(l - 1)*(l + 1)*(l + 2)**2/3
Suppose 3*h + 73 = -j - 169, -254 = 3*h - 2*j. Let t = -76 - h. Determine d so that -3/5 + t*d**3 - 6*d**2 + 3/5*d**5 - 3*d**4 + 3*d = 0.
1
Let w(i) = -882*i**2 + 329*i - 25. Let c(r) = 882*r**2 - 330*r + 26. Let a(s) = 7*c(s) + 6*w(s). Factor a(f).
2*(21*f - 4)**2
Let u(d) = -7*d**5 - 26*d**4 - 30*d**3 - 10*d**2 + 7*d. Let f(t) = -8*t**5 - 27*t**4 - 29*t**3 - 9*t**2 + 5*t. Let y(p) = 3*f(p) - 2*u(p). Factor y(o).
-o*(o + 1)**3*(10*o - 1)
Let o(g) = -g - 5. Let z be o(-8). Determine t, given that -8*t**2 - 2*t**5 + 8*t**z + 4 + 5*t**5 + 4*t**4 - 7*t**5 - 4*t = 0.
-1, 1
Let m(j) be the third derivative of j**5/180 - 13*j**4/72 + 7*j**3/3 - 3*j**2 + 156. Factor m(f).
(f - 7)*(f - 6)/3
Suppose 3 - 2 = -3*l - j, 0 = 3*l + 3*j - 9. Let r be 124/93 - (1 + l - -2). Factor r - 2*b**2 + 4/3*b + 5/3*b**4 - 4/3*b**3.
(b - 1)**2*(b + 1)*(5*b + 1)/3
Let o(t) = 5*t**4 + 37*t**3 + 49*t**2 - 73*t. Let q(j) = -3*j**4 - 19*j**3 - 25*j**2 + 37*j. Let v(i) = -5*o(i) - 9*q(i). Factor v(n).
2*n*(n - 8)*(n - 1)*(n + 2)
Let f(r) be the second derivative of -r**6/135 - 5*r**5/18 - 34*r**4/9 - 580*r**3/27 - 400*r**2/9 - 122*r + 2. Solve f(g) = 0.
-10, -4, -1
Factor -152/17*f - 2/17*f**3 + 44/17*f**2 + 144/17.
-2*(f - 18)*(f - 2)**2/17
Let t(c) be the first derivative of -256*c - 56/5*c**5 - 352*c**2 - 2/3*c**6 - 688/3*c**3 - 73*c**4 - 10. Find z such that t(z) = 0.
-4, -1
Let j = 9 - 6. Let u be (-2*j)/(9/(-6)). Factor -q + 2*q**3 + 0*q**3 - 2 - q**5 - 11*q**4 + u*q**2 + 9*q**4.
-(q - 1)**2*(q + 1)**2*(q + 2)
Let c(a) = -6*a - 12. Let y be c(-7). Factor -31 + 5*n**2 + 80 - y + 10*n - 34.
5*(n - 1)*(n + 3)
Let b = 7589/2 + -3682. Let t = 117 - b. Determine z, given that 0*z**2 - 3 - t*z + 3/2*z**3 = 0.
-1, 2
Let f(h) be the third derivative of h**7/1050 - 3*h**6/200 + 2*h**5/75 + 106*h**2. Factor f(k).
k**2*(k - 8)*(k - 1)/5
Determine f so that 0*f**2 + 2*f**2 - 82*f - 42 + 25 - 28 - 39 = 0.
-1, 42
Let u = 2/287 - -283/574. Let p(j) be the second derivative of 3*j + 0 + 0*j**2 + 0*j**5 - 2/3*j**3 + u*j**4 - 1/15*j**6. Factor p(b).
-2*b*(b - 1)**2*(b + 2)
Let w = 437 - 6554/15. Let l(v) be the third derivative of 7/180*v**4 + 1/225*v**5 + 0*v - 3*v**2 + 0 + w*v**3. Suppose l(m) = 0. Calculate m.
-3, -1/2
Let b be 74/(-5) - (-15)/(-75). Let f be ((-3)/(-42))/(b/(-480)). Factor 10/7*t**2 - 8/7 - f*t.
2*(t - 2)*(5*t + 2)/7
Let i(z) be the second derivative of z**7/2940 - z**6/252 + z**5/140 - 3*z**4/2 - z. Let x(g) be the third derivative of i(g). Determine o, given that x(o) = 0.
1/3, 3
Let p(l) be the first derivative of 5*l**2 - 7 + 5*l**5 + 5/3*l**3 - 10*l**4 + 0*l. Factor p(f).
5*f*(f - 1)**2*(5*f + 2)
Let i = -627 + 630. Let u(c) be the second derivative of -10*c - 1/21*c**i + 0*c**2 + 1/70*c**5 + 0 + 0*c**4. Let u(r) = 0. What is r?
-1, 0, 1
Let h(s) = 34*s**2 + 14*s - 20. Let n(j) = -7*j**2 - 3*j + 4. Suppose -13 - 15 = -2*a. Let y(g) = a*n(g) + 3*h(g). What is i in y(i) = 0?
-1, 1
Solve -105/2*o**2 - 245/4*o**3 + 120*o - 40 = 0.
-2, 4/7
Factor -3/7*n**2 - 9/7*n**4 + 0 + 12/7*n**3 + 0*n.
-3*n**2*(n - 1)*(3*n - 1)/7
Let c = 20/21 + -2/7. Let k(r) be the second derivative of 9*r - 3*r**2 + 1/6*r**4 + 0 + c*r**3. Factor k(p).
2*(p - 1)*(p + 3)
Let l(x) be the third derivative of 2/15*x**5 - 7/6*x**4 + 24*x**2 + 0 + 0*x + 8/3*x**3 + 1/30*x**6. Find q such that l(q) = 0.
-4, 1
Let r(m) be the first derivative of 3 - 4/9*m**2 - 2/27*m**3 + 10/9*m. Solve r(v) = 0 for v.
-5, 1
Find j, given that 421*j**5 - 213*j**5 - 20*j**4 + 25*j**3 - 213*j**5 = 0.
-5, 0, 1
Suppose -2*k = 33 - 16 - 23. Factor 3/5 + 6/5*v**k - 3/5*v**4 + 0*v**2 - 6/5*v.
-3*(v - 1)**3*(v + 1)/5
Let t = -1658 - -1658. Factor 3/4*l**5 + 27/4*l**3 + t + 15/4*l**4 + 21/4*l**2 + 3/2*l.
3*l*(l + 1)**3*(l + 2)/4
Let v(q) be the first derivative of -27*q**5/5 + 51*q**4/2 + 17*q**3 - 51*q**2 - 24*q - 59. Suppose v(x) = 0. What is x?
-1, -2/9, 1, 4
Let a(o) = -9*o**5 + 13*o**4 + 10*o**3 - 16*o**2 + 4. Let h(y) = -y**5 + y**3 + y**2 + 2*y + 1. Let j(d) = -a(d) + 4*h(d). Factor j(m).
m*(m - 2)**2*(m + 1)*(5*m + 2)
Let r be (82/(-287))/((-201)/49 + 4). Determine q, given that r*q + 4/5*q**4 - 2/5*q**5 + 4/5*q**3 - 4/5 - 16/5*q**2 = 0.
-2, 1
Let c(x) be the second derivative of 9*x - 13/45*x**6 - 53/9*x**4 + 0 - 85/9*x**3 - 1/63*x**7 - 29/15*x**5 - 25/3*x**2. Find k such that c(k) = 0.
-5, -1
Let n(s) be the third derivative of -1/8*s**4 - 1/80*s**5 - 10*s**2 + 0*s + 0 + 1/2*s**3 + 1/160*s**6. Factor n(c).
3*(c - 2)*(c - 1)*(c + 2)/4
Suppose -4*d = -2*b - 6, -4 = -2*d - 89*b + 91*b. Solve o**2 + d + 10/3*o = 0.
-3, -1/3
Let w be (-4)/(-6) - (-4)/3. Let l = 1138 - 1134. Suppose -2/5*c - 1/5 + 2/5*c**3 + 0*c**w + 1/5*c**l = 0. What is c?
-1, 1
What is g in -20*g**3 - 1/2*g**4 - 131*g**2 - 4761/2 + 1380*g = 0?
-23, 3
Let y = 21 + -19. Suppose a = 3*i + 17, -6*a - 4*i + 4 = -y*a. Factor 10*b**2 + 1 + 3*b - 4*b - a*b - 5.
2*(b - 1)*(5*b + 2)
Let i = 1 - -1. Suppose -3*q - x + 10 = 0, -3*q + 11*x - 14*x + 12 = 0. Let 0*c + 0 - 4/13*c**i + 6/13*c**q = 0. What is c?
0, 2/3
Let p be 21/(-231)*(-11)/7. Determine o so that p*o + 2/7 - 1/7*o**3 - 2/7*o**2 = 0.
-2, -1, 1
Let q(m) = m**2 - 8*m + 4. Let y be q(10). Let -13*r**2 + 28*r**2 + 12 - 2*r**3 - r**3 - y*r = 0. Calculate r.
1, 2
Let s = -29 + 24. Let b be 2/(-5)*(0 + s). What is f in -3*f + 6 + 0*f**2 + 3*f**2 - 6*f**b = 0?
-2, 1
Let y be ((-1)/(-4))/(1/(-8)*-1)