 25*t**5 - 5*t**4 - 704*t**2 + 24*t - 65*t**3 + 231*t**3 = 0. Calculate t.
-3, 0, 2/5, 2
Let z be 9/7 - (-8)/(-28) - -26. Let -5*c**4 - 2*c**2 + 39*c - 12*c**3 - z*c + 7*c**4 = 0. Calculate c.
-1, 0, 1, 6
Let d(w) be the first derivative of 0*w - 7/30*w**6 + 34 + 0*w**3 + 0*w**4 - 2/25*w**5 + 0*w**2. Factor d(l).
-l**4*(7*l + 2)/5
Let k be 212/18 - (-2)/9. Suppose -51 = -5*y + 2*a, 2*y - k = -2*a + 7*a. Factor c + 2*c**3 + 59*c**4 + 4 - 61*c**4 - y*c + 6*c**2.
-2*(c - 1)**3*(c + 2)
Let w(i) be the second derivative of -i**5/20 + 19*i**4/9 - 23*i**3/18 - 25*i**2/3 + 3*i + 178. Solve w(r) = 0.
-2/3, 1, 25
Let d(n) be the first derivative of -3*n**5/5 - 21*n**4/4 - 12*n**3 + 6*n**2 + 48*n + 67. Find l such that d(l) = 0.
-4, -2, 1
Determine j, given that -93*j + 3*j**2 + 3*j**2 + 88 - 4*j**2 + j**2 + 2 = 0.
1, 30
Solve -1216*h + h**2 + 414*h + 388*h + 100 + 385*h = 0.
4, 25
Let u(p) = p**2 + p + 1. Let v(c) = 3*c**2 + 28*c + 9*c**2 + 40 - 16. Let g(t) = -8*u(t) + v(t). Factor g(a).
4*(a + 1)*(a + 4)
Factor 2/3*o**2 + 200/3 - 202/3*o.
2*(o - 100)*(o - 1)/3
Let s(n) be the second derivative of 13/3*n**2 - 10*n - 4/3*n**3 - 1/18*n**4 + 2. Determine q, given that s(q) = 0.
-13, 1
Let a = -72 - -180. Find r, given that -3*r**5 - 120*r + 9*r**3 + a*r + 6*r**3 = 0.
-2, -1, 0, 1, 2
Let u be -7 + (-17 - 297/(-11)). Find n such that 0 + 0*n + 6/11*n**4 + 8/11*n**u + 2/11*n**2 = 0.
-1, -1/3, 0
Factor -84*t**2 - 43 - 34*t + 4 - 4*t**3 - 37 - 122*t.
-4*(t + 1)**2*(t + 19)
Let t(y) be the first derivative of -9*y**6/5 - 12*y**5/25 + 2*y**4/5 - 4*y + 11. Let b(g) be the first derivative of t(g). Let b(r) = 0. Calculate r.
-2/5, 0, 2/9
Factor 1922/3 + 1/6*d**2 + 62/3*d.
(d + 62)**2/6
Let o = -3 + 4. Let g(k) be the first derivative of 4*k**2 - 4*k**2 + o - 2*k**2 - k**3 - k**2. Factor g(h).
-3*h*(h + 2)
Let u = 25 + -21. Determine f, given that -590*f + 2*f**4 + f**u + 0*f**4 + 6*f**3 + 566*f - 9*f**2 - 12 = 0.
-2, -1, 2
Let r = -65 + 70. Factor -39*s + r*s**2 + 35 + 45 - s.
5*(s - 4)**2
Let v be 13/((-52)/(-24)) - 1. Determine w so that -3*w**3 + 2*w + 3*w**2 + 2*w - w + 2 - v = 0.
-1, 1
Suppose -31*k + 64 = 33*k. Factor k - 5/2*y**2 - 1/2*y - y**3.
-(y + 1)*(y + 2)*(2*y - 1)/2
Let i(s) be the first derivative of -2*s**5/5 - 2*s**4 + 18*s**3 - 38*s**2 + 32*s + 626. Factor i(c).
-2*(c - 2)*(c - 1)**2*(c + 8)
Let g(b) be the third derivative of -1/1512*b**8 + 0*b + 1/945*b**7 + 0*b**3 - 29*b**2 - 1/270*b**5 + 1/540*b**6 + 0 + 0*b**4. Suppose g(j) = 0. What is j?
-1, 0, 1
Let n(c) = -33*c - 8. Let t(f) = -8*f - 2. Let r(a) = 2*n(a) - 9*t(a). Let x(g) = g**2 - 23*g - 9. Let p(s) = -9*r(s) - 2*x(s). Factor p(l).
-2*l*(l + 4)
Let y(z) = -z - 7. Let p be y(-10). Suppose o**5 + p*o**5 + 1 - 2*o**3 - 4*o**5 - 2*o**5 + 4*o**2 + 4*o - 5*o**4 = 0. Calculate o.
-1, -1/2, 1
Let l = -5 + -4. Let i be (-40)/28*(l + 2). Solve 0*a**3 - a**4 - 2 - 5*a**3 - 17*a - 9*a**2 + i*a = 0.
-2, -1
Suppose 5*g + 2*q = 27, -35*g + 33*g - 2*q + 12 = 0. Suppose l - 8/3*l**4 + 8/3*l**2 + 0 + 2/3*l**3 - 5/3*l**g = 0. Calculate l.
-1, -3/5, 0, 1
Let q be (-6)/4 + -1 - (-1188)/216. Let f(l) = -l**2 - 4*l + 7. Let h be f(-5). Suppose 3/4*k**q + 0 - 3/4*k**h + 1/4*k - 1/4*k**4 = 0. Calculate k.
0, 1
Let s(f) = f**3 - 9*f**2 - 9*f - 8. Let m be s(10). Solve -2*z**4 + 20*z**3 + 12*z - 277*z**2 - m*z**4 + 249*z**2 = 0.
0, 1, 3
Let q(r) be the third derivative of r**5/30 - 7*r**4/6 + 49*r**3/3 + 19*r**2 - 3. Solve q(f) = 0 for f.
7
Determine o so that -177*o**2 + 18*o**3 - 21*o - 205*o**2 + 789*o + 57 - 109 - 100 = 0.
2/9, 2, 19
Let l(h) be the third derivative of 0*h - 1/12*h**5 - 23*h**2 + 0 - 20/3*h**3 + 5/4*h**4. Factor l(c).
-5*(c - 4)*(c - 2)
Suppose 8*a - 4*a + 32 = 4*o, a + 24 = 5*o. Solve 1/7*v**o + 9/7*v**2 + 0 - 6/7*v**3 + 0*v = 0 for v.
0, 3
Solve v + v + 22*v**2 - 17*v**2 + 3*v**3 - 13*v**3 + 7*v**3 = 0 for v.
-1/3, 0, 2
Let c(x) be the first derivative of -x**5/100 - 3*x**4/40 + 2*x**2 - 2. Let k(n) be the second derivative of c(n). Factor k(v).
-3*v*(v + 3)/5
Let k(y) be the second derivative of 0 + 1/9*y**4 - 32/9*y**3 - 3*y + 128/3*y**2. Factor k(b).
4*(b - 8)**2/3
Let v(a) be the third derivative of -a**5/6 - 11*a**4/16 - 5*a**3/6 + 37*a**2. Factor v(s).
-(4*s + 5)*(5*s + 2)/2
Let o(q) = 6*q**2 + 23*q - 98. Let w(x) = 2*x**2 + 8*x - 32. Let z(t) = -2*o(t) + 7*w(t). Solve z(i) = 0 for i.
-7, 2
Let k(j) = -57*j**2 - 111*j - 183. Let m(f) = 7*f**2 + 14*f + 23. Let r be (-36)/(-8) + 3/(-6). Let c(n) = r*k(n) + 33*m(n). Let c(p) = 0. Calculate p.
-3
Solve 276*c**5 - 136*c**5 + 36*c**2 + c**3 - 4*c**3 - 12*c - 125*c**5 - 36*c**4 = 0 for c.
-1, 0, 2/5, 1, 2
Let l = 2574 - 2572. Let -27*o**4 - 384/7*o + 96/7 + 78/7*o**l + 369/7*o**3 = 0. Calculate o.
-1, 2/7, 4/3
Let h be 2/(51/(-18) + 3). Let -15*m**3 + m**5 + h*m + 2*m**5 + 3*m**4 - 12*m + 9*m**2 = 0. What is m?
-3, 0, 1
Let o be (3 - 21/6)*-4. Suppose 4*n - 4*u = -0*u - 20, 0 = 2*n - 3*u + 15. Factor 4*f + 0*f**2 + n*f**o + 2*f**2.
2*f*(f + 2)
Let h(m) be the third derivative of -m**8/840 - 3*m**7/175 - 7*m**6/100 - 19*m**5/150 - m**4/10 - 2*m**2 - 610. Solve h(v) = 0 for v.
-6, -1, 0
Let s(g) be the second derivative of -5*g**4/12 - 265*g**3/6 - 130*g**2 - 179*g. Find h, given that s(h) = 0.
-52, -1
Let o(k) be the third derivative of 0 + 1/300*k**6 - 1/24*k**4 + 1/30*k**3 + 0*k + 1/50*k**5 - 1/150*k**7 - 11*k**2 + 1/560*k**8. Let o(u) = 0. Calculate u.
-1, 1/3, 1
Let m(s) be the second derivative of 1/120*s**6 + 9/8*s**2 - 1/24*s**4 - 14*s + 1/20*s**5 + 0 - 1/2*s**3. Factor m(v).
(v - 1)**2*(v + 3)**2/4
Suppose -6*r - 2/5*r**2 - 72/5 = 0. Calculate r.
-12, -3
Let v = -4324 + 12973/3. Find k, given that 2/3*k**2 + 0 - 1/3*k**3 - v*k = 0.
0, 1
Let m(x) be the first derivative of 4*x**5/5 - 28*x**3/3 - 12*x**2 + 247. Determine d, given that m(d) = 0.
-2, -1, 0, 3
Let h = -70 - -421/6. Let d(b) be the third derivative of 1/10*b**5 + 0 + h*b**4 - 1/30*b**6 - b**2 + 0*b**3 + 0*b. Solve d(l) = 0.
-1/2, 0, 2
Let q = 71 + -69. Let u(n) be the third derivative of 0*n**3 + 0 + 1/90*n**4 + 1/450*n**5 + 3*n**q + 0*n. Solve u(a) = 0.
-2, 0
Let r(x) be the first derivative of 201/8*x**4 + 49/4*x**6 - 23/2*x**3 + 357/10*x**5 + 6*x - 12*x**2 - 8. Determine f so that r(f) = 0.
-1, 2/7
Factor 7*g + 6*g**3 - 213*g**5 - 7*g - 8*g**4 + 215*g**5.
2*g**3*(g - 3)*(g - 1)
Let -108 - 120*a - 4*a**2 + 20*a**2 - 4*a**2 - 16*a**2 + 8*a = 0. What is a?
-27, -1
Suppose 74*w - 78*w + 8 = 0. Let l(h) be the third derivative of 0 + 1/60*h**5 + 5*h**w + 0*h + 1/240*h**6 - 1/6*h**3 - 1/48*h**4. Factor l(o).
(o - 1)*(o + 1)*(o + 2)/2
Let l(s) be the third derivative of -15*s**2 + 5/24*s**6 + 0 + 35/24*s**4 + 0*s - 3/4*s**5 - 5/3*s**3 - 1/42*s**7. Let l(h) = 0. What is h?
1, 2
Suppose -28 = -11*x - 6. Let w(q) be the first derivative of -4/15*q**3 - 2/5*q + 3 - 9/10*q**x. What is y in w(y) = 0?
-2, -1/4
Let n(z) be the second derivative of -8/21*z**7 + 24/5*z**5 - 6*z**2 - 38/3*z**4 + 40/3*z**3 + 2/15*z**6 + 0 - 17*z. Determine u so that n(u) = 0.
-3, 1/4, 1
Suppose 7*l - 4*l + 12 = 0, 4*l + 26 = 5*k. Solve k*a**2 + a**3 + 2*a**3 - 2*a**3 - a**2 = 0 for a.
-1, 0
Factor -42/19*t - 2/19*t**3 + 24/19*t**2 + 20/19.
-2*(t - 10)*(t - 1)**2/19
Find f such that -268*f - 2*f**4 - f**4 - 75*f**2 - 551 + 3051 - 10*f**3 + 4*f**4 + 768*f = 0.
-5, 10
Let u be (((-15)/(-50))/(-1))/(-36). Let j(h) be the second derivative of -1/24*h**4 + 0*h**2 + u*h**5 - 4*h + 1/18*h**3 + 0. Determine m so that j(m) = 0.
0, 1, 2
Let j be (-5)/(-35) - (153/21)/(-24 - -19). Find k, given that 0*k**2 + 0*k - 4/5*k**3 - 4/5*k**5 + 0 + j*k**4 = 0.
0, 1
Suppose -k + 2*g = -11, 5*g + 5 = -k + 3*g. Suppose 5*x = -k*t, 0 = -7*x + 4*x + 2*t. Find q such that -4/7*q**2 + 2/7*q**3 + x + 2/7*q = 0.
0, 1
Let o(h) be the second derivative of -25*h**4 - 215*h**3/6 - 5*h**2 - h - 10. Solve o(n) = 0.
-2/3, -1/20
Let k(t) be the second derivative of t**6/10 + 3*t**5/10 - t**3 - 3*t**2/2 + t + 57. Factor k(d).
3*(d - 1)*(d + 1)**3
Let b(j) be the third derivative of -j**6/30 + 4*j**5/15 + 85*j**4/6 - 176*j**3/3 - 2*j**2 + 349. Factor b(d).
-4*(d - 11)*(d - 1)*(d + 8)
Let l(s) = -4*s**4 - 8*s**3 + 4*s + 6. Let n(b) = -7*b**3 + 5*b**3 + b**4 + 3*b**3 - b**2 + b - 1. Let c = -2 + 4. Let z(a) = c*l(a) + 4*n(a). Factor z(k).
-4