(-296)/48 + 1/6. Let t(p) = p**3 + 5*p**2 - 7*p - 4. Let f be t(i). Find l, given that l**4 + 92*l**5 + l**4 + 2*l**3 - 2*l**f - 94*l**5 = 0.
-1, 0, 1
Let l(a) be the third derivative of -a**6/90 + 388*a**5/45 + 538*a**2. Solve l(w) = 0 for w.
0, 388
Let v(y) be the first derivative of -21/2*y + 3/4*y**3 + 123/8*y**2 - 79. Factor v(s).
3*(s + 14)*(3*s - 1)/4
Suppose -3*n = -4*r - 5, 0 = -3*n + r + 1 + 7. Let -16 + 166*a**3 + 74 - 45*a**4 + 382*a**n + 142*a**3 + 27 + 1240*a**2 + 590*a = 0. What is a?
-1, -1/3, 17
Let s(x) = 19*x**3 + 2*x + 2*x + 3*x**4 + 15*x**5 + 8 - 14 - 20*x**5 + 27*x**2. Let j(y) = -y**5 - y**4 - y**3 - y - 1. Let k(t) = 6*j(t) - s(t). Factor k(p).
-p*(p + 1)**2*(p + 2)*(p + 5)
Let a(k) = -3*k**2 + 5*k - 14. Suppose -11*o - 658 = 36*o. Let l(f) = 11*f**2 - 12*f + 43. Let g(i) = o*a(i) - 4*l(i). Find s, given that g(s) = 0.
-12, 1
Let s = -5362/15 - -5372/15. Solve 0 + 2/9*k**3 + 0*k**2 + 0*k - s*k**4 = 0.
0, 1/3
Let h be -1 - (1 - 0 - 14). Suppose 13*p = 21*p - 16. Solve 0 + o**2 + 0*o**2 + h + 12*o + 2*o**p = 0 for o.
-2
Let g be 2046 - 2055 - (-5)/(10/24). Let z(k) be the third derivative of -5/36*k**4 - 1/90*k**5 + 0*k**g + 0*k + 0 + 7*k**2. What is v in z(v) = 0?
-5, 0
Let b(w) = 11*w**4 + 13*w**3 + 189*w**2 - 2045*w - 16381. Let r(m) = 4*m**4 - m**3 - m**2 + m + 1. Let s(g) = -2*b(g) + 6*r(g). Factor s(u).
2*(u - 16)**2*(u + 8)**2
Let f(x) be the second derivative of x**4/66 - 3*x**3/11 + 8*x**2/11 + 3*x + 174. What is z in f(z) = 0?
1, 8
Let g(m) = m**2 - 14*m. Let i be g(14). Let q be (-12)/(-4) + -1 + i. Factor 0*s - 3*s**3 + 0*s + 2*s**q + s**4.
s**2*(s - 2)*(s - 1)
Let x be (0 - 2) + 6/2. Let q be 3 - 1/(2 - x). Factor -7*j**2 + 2*j + 11*j**2 + q*j.
4*j*(j + 1)
Let n(y) = -3*y**2 + 98*y + 610. Let z be n(38). Let j be (-2)/20*(-10 + 45/6). Suppose z*s**2 + 5/4*s - 25/2 + j*s**3 = 0. Calculate s.
-5, 2
Let n(r) = -3*r**2 - 254*r - 4. Let x(l) = -3*l**2 - 252*l - 3. Let p(m) = -3*n(m) + 4*x(m). Factor p(y).
-3*y*(y + 82)
Let m(v) be the third derivative of -1/280*v**6 + 0*v - 8*v**2 - 9/140*v**5 + 0*v**3 - 5/14*v**4 - 3. Let m(k) = 0. What is k?
-5, -4, 0
Let x(m) be the first derivative of m**8/84 + m**7/21 - m**5/6 - m**4/6 + 6*m**2 + 17. Let k(i) be the second derivative of x(i). Determine u so that k(u) = 0.
-2, -1, -1/2, 0, 1
Let x be 0/(14 + 6/(-12)*16). Let g(p) be the second derivative of -1/10*p**6 + 0 + 9/20*p**5 + x*p**2 - 3/4*p**4 + 12*p + 1/2*p**3. What is a in g(a) = 0?
0, 1
Determine x, given that -2/9*x**2 + 4*x - 112/9 = 0.
4, 14
Let a(q) = 15*q**4 - 1160*q**3 - 3485*q**2 + 31570*q + 33880. Let k(f) = -f**4 + 83*f**3 + 249*f**2 - 2255*f - 2420. Let t(s) = 6*a(s) + 85*k(s). Factor t(c).
5*(c - 4)*(c + 1)*(c + 11)**2
Let p be 73/(-365)*(1 + 137/(-2)). Let j(m) be the second derivative of -3*m + 3*m**3 + 0 + 1/4*m**4 + p*m**2. Solve j(w) = 0 for w.
-3
Let i(n) be the second derivative of -n**5/70 - 10*n**4/21 + 572*n**3/21 + 11616*n**2/7 + 21*n + 2. Determine z, given that i(z) = 0.
-22, 24
Let d = 104 - -535. Let t = 640 - d. Solve -b**2 - 1/3*b + t + 1/3*b**3 = 0.
-1, 1, 3
Let h be -43 + (20793/203 - 59). Factor -3/7*d**4 + 2/7*d**3 + h*d**2 - 2/7*d + 0.
-d*(d - 1)*(d + 1)*(3*d - 2)/7
Let x(h) be the first derivative of -h**4/22 + 4*h**3/11 - 9*h**2/11 + 8*h/11 - 384. Suppose x(o) = 0. What is o?
1, 4
Find w, given that -37*w**2 + 260*w + 19*w**3 - 218*w**2 - 144*w**3 - 380*w**2 - 5*w**4 + 505*w = 0.
-17, -9, 0, 1
Factor -f**2 + 142*f - 3*f**2 - 1584 - 1194*f + 512*f.
-4*(f + 3)*(f + 132)
Suppose 17*x - 18*x + 2 = 0. Determine t so that 4*t**2 + t**x - 7*t - 72*t**3 + 71*t**3 + 3 = 0.
1, 3
Let f(s) be the third derivative of -s**5/330 - 337*s**4/132 + 7527*s**2. Let f(q) = 0. What is q?
-337, 0
Let h(a) be the second derivative of a**6/75 - 498*a**5/25 - a**4/10 + 598*a**3/3 - 1992*a**2/5 + 14*a - 92. Let h(p) = 0. What is p?
-2, 1, 996
Determine z, given that 22 - 16 - 797*z**2 + 1233*z**3 + 1221*z - 1663*z**2 = 0.
-2/411, 1
Let j(u) = -8*u**2 - 236*u - 440. Let i(x) = 7*x**2 + 235*x + 442. Let d(g) = 12*i(g) + 11*j(g). Factor d(o).
-4*(o - 58)*(o + 2)
Let o be 11 + ((-4)/(-10))/((-8)/(-120)). Let c(h) be the first derivative of -1/12*h**4 + 0*h**3 - 1/30*h**5 + 1/6*h + 1/6*h**2 - o. Solve c(l) = 0.
-1, 1
Let g(z) be the first derivative of z**6/120 + z**5/4 - 2*z**3 + 25. Let b(s) be the third derivative of g(s). Suppose b(x) = 0. Calculate x.
-10, 0
Let j(p) = p**3 - 2*p**2 - p + 2. Let k be j(2). Suppose k = 3*z + 3 - 12. Solve -z*u**3 + 4*u**2 + 4*u**2 - 2*u**2 = 0 for u.
0, 2
Let -42*d**3 - 86*d + d**4 + 280*d**2 + d**3 - 442*d = 0. What is d?
0, 4, 33
Suppose -9*g - 19*g + 112 = 0. Solve 46*t**2 - g*t**3 - 66*t**2 + 0*t**3 - 16 - 32*t = 0 for t.
-2, -1
Let 544*z + 2 - 651*z**2 - 4521*z**2 - 4 + 1212*z**2 - 723*z + 2025*z**3 = 0. Calculate z.
-1/45, 2
Let q(o) be the third derivative of -13*o**10/15120 + o**9/504 - o**8/1680 + o**4 + o**3/3 + 147*o**2. Let b(t) be the second derivative of q(t). Factor b(a).
-2*a**3*(a - 1)*(13*a - 2)
Let u = -18063 - -18067. Let j(f) be the second derivative of -3/50*f**5 + 0*f**2 + 0 + 0*f**3 - 1/75*f**6 + 2/15*f**u - 18*f. Suppose j(t) = 0. What is t?
-4, 0, 1
Let r(y) = -y**2 - 22*y - 15. Let o be r(-14). Let x = o + -95. Let 187 - 2*t + 7*t - 187 + t**x = 0. What is t?
-5, 0
Let h be (370/100)/(-37) + (-4)/(-15). Let o(t) be the third derivative of h*t**6 + 8/3*t**3 + 0 - 43*t**2 + 13/6*t**4 + 0*t + 14/15*t**5. Solve o(j) = 0 for j.
-1, -4/5
Let x(z) be the first derivative of z**4/18 + 7526*z**3/27 + 3538160*z**2/9 - 7083848*z/9 + 6659. Factor x(m).
2*(m - 1)*(m + 1882)**2/9
Let f = 2/51 + 13/102. Suppose 17*i + 4*y + 20 = 21*i, -4*i - 3*y = 1. Factor -z - f*z**i - 3/2.
-(z + 3)**2/6
Let j(i) = 747*i**2 + 47631*i + 46872. Let d(q) = -q**3 + 745*q**2 + 47633*q + 46871. Let b(g) = 3*d(g) - 4*j(g). Solve b(t) = 0 for t.
-125, -1
Let u(f) = -7*f**4 + 63*f**3 + 394*f**2 + 591*f. Let s(w) = 10*w**4 - 64*w**3 - 390*w**2 - 592*w. Let j(y) = -3*s(y) - 4*u(y). Find n such that j(n) = 0.
-21, -7, -2, 0
Let j(h) be the third derivative of -2*h**7/105 - 209*h**6/180 + 221*h**5/30 - 75*h**4/4 + 227*h**3/9 - 2391*h**2. Factor j(m).
-2*(m - 1)**3*(6*m + 227)/3
Suppose 3*v + 2*o = -133, -4*o + 5 = 13. Let g = v + 46. Suppose 22 - 2*u**3 + u**4 - 22 + g*u**5 = 0. Calculate u.
-1, 0, 2/3
Let x = -394787 - -394797. Find z such that -1/2*z**4 + x*z**2 - 3*z**3 + 75*z + 125/2 = 0.
-5, -1, 5
Let l = -154 - -165. Suppose o + 0*o = 4*d - l, 2*d - 4*o - 16 = 0. Factor 2/5*y**d + 4/5*y**3 - 4/5*y - 2/5.
2*(y - 1)*(y + 1)*(2*y + 1)/5
Let v be ((-4)/22)/(-2)*88/4. Solve -15/2 - 1/6*t**v + 23/3*t = 0.
1, 45
Let -6151*a**3 + 6841*a**3 + 88*a - 3*a**4 - 8*a + 604*a - 1371*a**2 = 0. Calculate a.
0, 1, 228
Let d(u) be the third derivative of 5*u**8/84 - 34*u**7/105 - 19*u**6/30 + 5*u**5/3 + 7*u**4/3 - 16*u**3/3 - 1328*u**2. Find y, given that d(y) = 0.
-1, 2/5, 1, 4
Let a(c) = 32*c**3. Let u be a(1). Let i = u + -30. Suppose 14*r**3 + r**3 - 8*r + 4*r**i + 5*r**3 + 16*r**4 - 32*r**2 = 0. Calculate r.
-2, -1/4, 0, 1
Let a be ((-167146)/357)/((-34)/(-6) - 6). Let t = -1404 + a. Determine x so that 2/17*x**3 - t*x**2 + 8/17*x + 0 = 0.
0, 1, 4
Factor 210*z + 16*z**2 + 2/5*z**3 + 900.
2*(z + 10)*(z + 15)**2/5
Let q(z) be the first derivative of -5*z + 2/9*z**4 + 0*z**2 - 1/30*z**5 - 4/9*z**3 - 20. Let o(y) be the first derivative of q(y). Factor o(h).
-2*h*(h - 2)**2/3
Suppose -3*m + 593 = -2*t - 12618, 17616 = 4*m - 4*t. Let o be 8/(-68) + m/578. Let o*i - 5/2*i**2 - 5/2*i**4 + 5 - 15/2*i**3 = 0. Calculate i.
-2, -1, 1
Let g be 1 - (-5)/90 - ((-11)/(-2))/11. Let a(w) be the first derivative of 0*w + g*w**3 + 18 - 1/2*w**2. Factor a(b).
b*(5*b - 3)/3
Let h(y) be the third derivative of -y**5/420 - 17*y**4/168 + 10*y**3/7 + 544*y**2. Factor h(s).
-(s - 3)*(s + 20)/7
Let c(w) be the first derivative of 0*w + 2/7*w**2 + 7 + 46/21*w**3 - w**6 + 19/14*w**4 - 46/35*w**5. Solve c(z) = 0 for z.
-1, -2/21, 0, 1
Let v(l) be the third derivative of l**8/672 + l**7/105 + l**6/80 - l**5/30 - l**4/12 - l**2 - 2*l - 688. Factor v(a).
a*(a - 1)*(a + 1)*(a + 2)**2/2
Let o(s) = 5*s**2 - 19*s + 114. Let c(f) = -13*f**2 + 62*f - 341. Let w(r) = -3*c(r) - 8*o(r). Suppose w(j) = 0. What is j?
-37, 3
What is m i