et n be j*(-6)/2 + -1. Let 4 + c**3 - c - 5*c**2 + 2*c**n - 2 + c**4 = 0. Calculate c.
-2, -1, 1
Let o be (8/(-10))/((-20)/100). Let j be (o - (-28)/(-5))/((-12)/10). Factor 0 - j*l - 2/3*l**2.
-2*l*(l + 2)/3
Factor 1/6*f**2 - 1/3 - 1/2*f**3 + 1/6*f**4 + 1/2*f.
(f - 2)*(f - 1)**2*(f + 1)/6
Let l = -2914 - -2916. Let 0*p + 0 + 4/9*p**4 - 2/9*p**3 + 0*p**l - 2/9*p**5 = 0. What is p?
0, 1
Let d(s) be the first derivative of -2/55*s**5 + 1/22*s**4 - 1 + 2/33*s**3 + 0*s - 1/11*s**2. Determine t so that d(t) = 0.
-1, 0, 1
Find f, given that 2044/3*f**2 + 48*f**4 - 208/3 - 676*f**3 - 64*f = 0.
-1/4, 2/3, 13
Suppose -2*q + 15 - 3 = -3*r, 0 = r + 2*q + 4. Let x be (-2 + -4)/(6/r). Solve 2*n**x - 2*n**5 + 6*n**5 - n**5 - 4*n**5 = 0 for n.
0, 2
Suppose 4*a = -r - 5, 4*a = -4*r + 2*a + 50. Let 0*t**4 - 24*t**3 - 11*t**5 - 4*t**4 + r*t**5 = 0. What is t?
-2, 0, 3
Let w = 75 + -71. What is r in 195*r**3 - 35*r**3 - 132*r**2 - 4 + 40*r - 24*r**4 - 40*r**w = 0?
1/4, 1
Let d(c) = c - 27. Let w be d(8). Let r = w + 21. Factor -2/3*n**r - 32/3 + 16/3*n.
-2*(n - 4)**2/3
Let q(o) be the first derivative of o**3/9 - 23*o**2/2 + 68*o/3 - 67. Factor q(x).
(x - 68)*(x - 1)/3
Let o(m) be the first derivative of -2/15*m**3 + 0*m - 3/20*m**4 + 1 + 1/10*m**2. Find q such that o(q) = 0.
-1, 0, 1/3
Let r(w) be the second derivative of w**5/30 + 4*w**4/3 + 64*w**3/3 + 512*w**2/3 + 68*w. Factor r(g).
2*(g + 8)**3/3
Suppose -2*q + 16*q = -1736. Let a = -124 - q. Factor 1/5*p**4 + a - 2/5*p**3 + 0*p**2 + 0*p.
p**3*(p - 2)/5
Let o(d) be the first derivative of -d**3/6 + 73*d**2/4 + 266. Factor o(a).
-a*(a - 73)/2
Let v(o) be the third derivative of 3*o**6/40 - 79*o**5/20 + 13*o**4/4 - 383*o**2. What is n in v(n) = 0?
0, 1/3, 26
Let u = -445/4 - -615/4. Let x = u - 737/18. Find v, given that 0 - 16/9*v**4 - x*v**3 + 32/9*v**5 + 0*v - 2/9*v**2 = 0.
-1/4, 0, 1
Let b = -283/8235 + 3/61. Let t(m) be the second derivative of b*m**6 + 0*m**2 + 1/189*m**7 + 0 - 1/27*m**3 + 0*m**5 - 8*m - 1/27*m**4. Solve t(i) = 0 for i.
-1, 0, 1
Solve 264*a + 32 - 2*a**3 + 239*a - 479*a = 0.
-2, 4
Let d(q) = q + 10. Let s be d(-6). What is b in 3385 - 3385 - 4*b**3 + b**s - 2*b + 5*b**2 = 0?
0, 1, 2
Let p be 2*(-2 - (-3 - -3)). Let x(d) = d + 7. Let i be x(p). Factor -i + 6*y**2 + 3 - 3*y**3 + 0.
-3*y**2*(y - 2)
Let i(a) be the third derivative of 0*a**3 + 11*a**2 + 0*a + 0*a**4 - 1/180*a**5 + 0. Find g such that i(g) = 0.
0
Factor -6*g - 3/2*g**2 - 8 - 1/8*g**3.
-(g + 4)**3/8
Let z(j) be the third derivative of 0*j**4 + 0*j**3 - 43*j**2 - 1/168*j**8 + 0 + 0*j**6 + 0*j**5 + 0*j**7 + 0*j. Let z(v) = 0. What is v?
0
Let v be (0/(-11))/(2 - (1 - 1)). Suppose v*o = -o. Suppose o*m**3 + 0*m - 2/9*m**4 - 2/9 + 4/9*m**2 = 0. Calculate m.
-1, 1
Let m(g) be the first derivative of -g**5/15 - g**4/2 + 4*g**3 - 20*g**2/3 - 346. What is i in m(i) = 0?
-10, 0, 2
Let x(g) = 25*g**2 - 3802*g + 331. Let u be x(152). Find i, given that 3/2*i**2 + 243/2 + u*i = 0.
-9
Let b(h) be the third derivative of h**8/336 + 23*h**7/630 + 7*h**6/360 - 31*h**5/36 + 25*h**4/36 - 381*h**2. Solve b(t) = 0 for t.
-5, 0, 1/3, 2
Let l be ((-9)/(-54)*8)/((-10)/(-6)). Let i = 1 - 3/5. Factor l - 2/5*s**2 - i*s.
-2*(s - 1)*(s + 2)/5
Let d(f) be the third derivative of 1/7*f**3 + 1/735*f**7 - 1/70*f**6 + 0 + 0*f + 2/35*f**5 + 3*f**2 - 5/42*f**4. Factor d(s).
2*(s - 3)*(s - 1)**3/7
Factor -174 + 3*l**2 + 162 - 2*l**2 + 8*l - 2*l**2.
-(l - 6)*(l - 2)
Factor -6*v**3 - 33*v**2 - 648*v + 6860 - 17*v**2 - 118*v**2 + 70*v**3 - 920*v - 4*v**4.
-4*(v - 7)**3*(v + 5)
Let d = -22 - -26. Let -4*h - 27*h**3 - 3*h**2 + 4*h**4 + 31*h**3 - h**2 + 0*h**d = 0. Calculate h.
-1, 0, 1
Let x(g) be the second derivative of -g**6/225 - g**5/30 - 4*g**4/45 - 4*g**3/45 - 5*g - 3. Factor x(v).
-2*v*(v + 1)*(v + 2)**2/15
Suppose -2*o = -3 - 3. Factor -2*q**2 - 5*q**2 + 3*q**o + q**2.
3*q**2*(q - 2)
Let p = 521 - 521. Let t(o) be the third derivative of -1/25*o**5 + 0*o + p - 9*o**2 - 1/75*o**6 - 1/15*o**4 - 1/15*o**3 - 1/525*o**7. Solve t(r) = 0.
-1
Let h(v) = 9*v**3 + 4*v**2 - 31*v + 26. Let s(f) = -f**3 - f**2 - f + 1. Let i(m) = h(m) + 4*s(m). Factor i(o).
5*(o - 2)*(o - 1)*(o + 3)
Let x(c) be the first derivative of 7*c**5/20 + 5*c**4/16 - 5*c**3/2 - 5*c**2/2 + 2*c - 155. Determine w so that x(w) = 0.
-2, -1, 2/7, 2
Let o(t) be the third derivative of -t**5/20 - 17*t**4/48 + t**3/4 + 204*t**2. Solve o(x) = 0.
-3, 1/6
Let a be 348/56 + -1 + -5. Let d(n) be the first derivative of 4 + 1/7*n**3 + 0*n + a*n**2. Suppose d(b) = 0. Calculate b.
-1, 0
Let n be (-60)/(-24)*(-12)/(-5). Suppose 26*d**2 - 15*d**3 + 19*d**3 + 16 + 32*d - n*d**2 = 0. What is d?
-2, -1
Let b(f) = 5*f**4 + 3*f**3 - 12*f**2 - 10*f. Let s(r) = -35*r**4 - 20*r**3 + 85*r**2 + 70*r. Let h(z) = -20*b(z) - 3*s(z). Factor h(m).
5*m*(m - 2)*(m + 1)**2
Suppose -72 = -12*y + 4*y. Suppose 0 = 3*v - 42 - 3. Suppose -v - 3*h**2 - 12 + y*h - 6*h + 15*h = 0. What is h?
3
Suppose -6*p + 4*v = -7*p + 10, -2*v + 14 = 5*p. Factor 147/2 + 21/2*i + 3/8*i**p.
3*(i + 14)**2/8
Let h = 32428/9 - 3600. Solve 8/9*p**4 + 8/3*p**2 + h*p**3 - 4/9*p - 8/9 = 0.
-2, -1, 1/2
Let f = -364 + 1093/3. Solve -f*h + 1/3*h**2 + 2/3*h**3 + 0 = 0.
-1, 0, 1/2
Let i(w) be the first derivative of 5*w**6/2 + 217*w**5 + 6570*w**4 + 72000*w**3 + 34560*w**2 + 20. Factor i(d).
5*d*(d + 24)**3*(3*d + 1)
Suppose 3*t + u = -2*t - 42, 2*u - 36 = 5*t. Let y be 6/t - 19/(-19). Determine i, given that 1/4*i**5 - 1/4*i**4 - 1/4*i**3 + 0 + y*i**2 + 0*i = 0.
-1, 0, 1
Find j, given that 17*j**3 - 7*j + 7*j - 280*j**2 - 22*j**3 = 0.
-56, 0
Let u(m) be the second derivative of 1/27*m**4 + 5*m + 0*m**3 - 1/90*m**5 + 0 + 0*m**2 - 1/135*m**6. Factor u(v).
-2*v**2*(v - 1)*(v + 2)/9
Let d(z) = -120*z**3 - 3790*z**2 - 7325*z - 3725. Let s(y) = 7*y**3 + 223*y**2 + 431*y + 219. Let b(w) = 2*d(w) + 35*s(w). Determine u so that b(u) = 0.
-43, -1
Let v(m) = m**3 + 3*m**2 - 2. Let g be v(1). Let c(q) be the first derivative of -9*q - q**3 - 2 + 3/4*q**4 - 15/2*q**g. Solve c(i) = 0 for i.
-1, 3
Let r(s) be the third derivative of -s**6/360 + s**4/24 + 13*s**3/6 + 29*s**2. Let m(p) be the first derivative of r(p). Find n, given that m(n) = 0.
-1, 1
Let w(z) = -85*z**2 + 1100*z - 2185. Let j(u) = -7*u**2 + 92*u - 182. Let y(i) = -25*j(i) + 2*w(i). Factor y(k).
5*(k - 18)*(k - 2)
Factor 0 + 0*w + 1/2*w**3 + 1/4*w**2 + 1/4*w**4.
w**2*(w + 1)**2/4
Let k be (-2)/(-7) + (-361)/(-133). Let i(d) = d**2 - d + 1. Let c(u) = 5*u**3 - 23*u**2 + 28*u - 13. Let f(r) = k*i(r) + c(r). Suppose f(v) = 0. Calculate v.
1, 2
Let v = -106 - -104. Let t be (-1)/(-3) + v*401/(-78). Factor 56/13*u - 50/13*u**4 - 8/13 + 140/13*u**3 - t*u**2.
-2*(u - 1)**2*(5*u - 2)**2/13
Suppose -2*y + 12 = -4*g, g - 6*g + 24 = 4*y. Suppose y*t + 9/2*t**4 + 2*t**5 - 5*t**3 + 2 - 19/2*t**2 = 0. Calculate t.
-2, -1/4, 1
Let f be 78/(-286) + 72/22. Factor 2/3*l + 0 - 2/3*l**2 + 1/6*l**f.
l*(l - 2)**2/6
Let q be 2/3 - 0/208. Factor -2/3*s + 4 - q*s**2.
-2*(s - 2)*(s + 3)/3
Let r(s) be the first derivative of -s**7/420 + s**6/180 + s**5/30 + 26*s**3/3 - 15. Let t(w) be the third derivative of r(w). Solve t(f) = 0.
-1, 0, 2
Let w(i) be the second derivative of -i**5/70 + 20*i**4/21 - 437*i**3/21 + 722*i**2/7 - 437*i. Determine n, given that w(n) = 0.
2, 19
Suppose y - 19 = -3*l, 46 = 5*y + 2*l + 16. Let t(j) be the third derivative of 0*j**3 - 1/40*j**5 - 1/16*j**4 + y*j**2 + 0 + 0*j. Determine i so that t(i) = 0.
-1, 0
Find i such that -6*i - 30/7*i**3 + 2/7*i**4 + 122/7*i**2 - 28 = 0.
-1, 2, 7
What is v in -3/5*v**3 + 12/5 - 24/5*v + 3*v**2 = 0?
1, 2
Suppose 13*t - 713 = -713. Let y(d) be the first derivative of 0*d + 13 + t*d**2 - 1/4*d**4 + 0*d**3 - d**5 - 2/3*d**6. Suppose y(b) = 0. Calculate b.
-1, -1/4, 0
Let m(x) be the first derivative of 2*x**3/9 - 28*x**2/3 + 18*x + 109. Factor m(h).
2*(h - 27)*(h - 1)/3
Let v(q) be the second derivative of q**5/15 + 1049*q**4/36 + 34453*q**3/9 + 17161*q**2/6 - 118*q - 1. Find b, given that v(b) = 0.
-131, -1/4
Let h(f) be the first derivative of f**4/2 - f**3/2 - 3*f**2/2 - 15*f + 21. Let m(q) be the first derivative of h(q). Factor m(j).
3*(j - 1)*(2*j + 1)
Suppose -5*n + 28 = -n. Let j(r) be the third derivative of 0 - 1/9*r**3 + 3*r**2 + 1/360*r**6 + 0*r - 1/72*r**4 + 1/6