q**2/3 + 4423. Find w, given that y(w) = 0.
-13, 0, 4
Let t(f) = 4*f**2 - 12*f - 25. Let v be t(5). Suppose 0 = -5*l + 5*h + v, -7*h - 4 = -2*l - 3*h. Factor -8/9*w**3 + 0 + 16/9*w**2 + 1/9*w**l + 0*w.
w**2*(w - 4)**2/9
Let q be 202/((-13534)/1407) - (0 + -23). Factor 1/4*v**q - 5 - 1/4*v.
(v - 5)*(v + 4)/4
Let v(w) be the third derivative of w**6/480 - 13*w**5/20 - 319*w**4/96 + 79*w**3/4 - 2*w**2 + 21. Factor v(d).
(d - 158)*(d - 1)*(d + 3)/4
Let r(g) be the first derivative of -3*g**4/16 - 9*g**3/4 - 9*g**2/4 + 12*g + 1554. Factor r(n).
-3*(n - 1)*(n + 2)*(n + 8)/4
Let o(u) be the first derivative of -u**4/20 - 94*u**3/5 - 13254*u**2/5 - 348*u - 287. Let c(v) be the first derivative of o(v). Factor c(s).
-3*(s + 94)**2/5
Suppose 11*z = 8*z + 18. Let c(t) = 7*t**3 + 2*t**2 + 3*t. Let n(k) = -13*k**3 - 3*k**2 - 6*k. Let v(u) = z*n(u) + 11*c(u). Determine r, given that v(r) = 0.
0, 1, 3
Let h(w) be the third derivative of -2*w**7/21 - 41*w**6/8 - 865*w**5/12 + 260*w**4 - 640*w**3/3 - 14*w**2 - 4*w + 14. Solve h(y) = 0.
-16, 1/4, 1
Let -5376845/6 + 5185/3*b - 5/6*b**2 = 0. What is b?
1037
Let r(g) = -g**3 - 14*g**2 - 4*g. Suppose -12*d - 18 = -6*d. Let s(l) = l**2 - l - 1. Let q(o) = d*r(o) - 24*s(o). Factor q(y).
3*(y + 2)**3
Let -4/3*x**3 + 4/5*x**4 + 28/15 + 6/5*x + 2/15*x**5 - 8/3*x**2 = 0. What is x?
-7, -1, 1, 2
Suppose -3*x = -s - 3 - 5, 5*s + 4*x - 17 = 0. Suppose -j - 4*f - 19 = -2*j, 2*f = -j + s. Determine d so that -236*d**2 - j*d + 481*d**2 - 246*d**2 = 0.
-7, 0
Let -504 - 760/3*r - 2/3*r**2 = 0. Calculate r.
-378, -2
Let h(v) be the third derivative of 0*v**5 - 1/1008*v**8 + 1/360*v**6 + 0*v - 58*v**2 + 0*v**3 + 0*v**4 + 0 + 0*v**7. Suppose h(g) = 0. What is g?
-1, 0, 1
Let r(g) be the first derivative of 4*g**2 - 32 - 1/10*g**5 + 0*g + 9/8*g**4 - 4*g**3. Factor r(v).
-v*(v - 4)**2*(v - 1)/2
Let w(y) be the first derivative of 4*y**3/3 - 724*y**2 + 1444*y + 858. Factor w(c).
4*(c - 361)*(c - 1)
Let b be 52*(-8)/(-32) - -2. Let u be (b - 21)*(57/21 + -3). Factor 2/7*l**2 - 2*l + u.
2*(l - 6)*(l - 1)/7
Let y = -543 - -546. Factor 16*z**y + 5*z + 18*z**2 + 24*z**3 + 20*z**3 + 10*z - 57*z**3.
3*z*(z + 1)*(z + 5)
Let d = 379646 - 1898229/5. Factor d*u**2 - 18/5 + 17/5*u.
(u - 1)*(u + 18)/5
Let k(q) be the first derivative of -11/24*q**4 + 117 + 5/3*q**2 + 1/6*q**5 + 8/3*q - 2/3*q**3. Determine h, given that k(h) = 0.
-1, -4/5, 2
Let c(y) = 5*y**2 + 7*y + 2. Let u(h) = -6*h**2 - 7*h. Let g(p) = 4*c(p) + 3*u(p). Let o(k) = k**2 + k + 1. Let j(i) = g(i) - 3*o(i). Factor j(f).
-(f - 5)*(f + 1)
Let z = 2164/165 - 413/33. Determine m so that z*m**5 + 14/5*m**3 - 11/5*m**4 - 6/5*m**2 - 1/5*m + 1/5 = 0.
-1/3, 1
Let r(i) be the first derivative of 12/5*i + 5 - 7/10*i**2 + 1/15*i**3. Factor r(k).
(k - 4)*(k - 3)/5
Let c(a) be the first derivative of -3*a**3/5 + 1158*a**2/5 - 771*a/5 + 6338. Factor c(d).
-3*(d - 257)*(3*d - 1)/5
Let r(o) be the third derivative of o**8/112 + 3*o**7/14 + 7*o**6/20 - 65*o**2 - 4*o. Find b, given that r(b) = 0.
-14, -1, 0
Let s(b) be the first derivative of -b**3/6 + 51*b**2/2 - 288*b + 4423. Suppose s(z) = 0. Calculate z.
6, 96
Let p(n) = -8*n**2 - 7*n. Let a(x) = 5*x**2 + 4*x. Let v(q) = 5*a(q) + 3*p(q). Let y(u) = 3*u - 5. Let z(f) = -4*v(f) - y(f). What is o in z(o) = 0?
-1, 5/4
Let -7/2*z**2 - 253*z - 72 = 0. What is z?
-72, -2/7
Let x(f) = -29*f**2 - 1. Let k be x(1). Let o = k - -32. Factor 73*m**o + 15*m**3 - 7*m**2 + 27 + 19*m**2 - 72 + 105*m.
5*(m + 3)**2*(3*m - 1)
Let b(o) be the third derivative of o**7/630 + o**6/15 + 46*o**5/45 + 20*o**4/3 + 200*o**3/9 - o**2 + 12*o + 342. Factor b(k).
(k + 2)**2*(k + 10)**2/3
Let l(o) be the first derivative of -73 + 2*o**3 - 6*o + 3/8*o**4 - 3/4*o**2. Solve l(n) = 0 for n.
-4, -1, 1
Let g(o) = -100*o**2 - 620*o - 16245. Let k(c) = 13*c**2 + 88*c + 2321. Let z(u) = -2*g(u) - 15*k(u). Suppose z(r) = 0. What is r?
-15, 31
Let i(q) = -7*q**4 - 3*q**3 + 22*q**2 + 3*q - 10. Let w(d) = -4*d**4 - 2*d**3 + 13*d**2 + 2*d - 6. Let n(b) = -3*i(b) + 5*w(b). Let n(c) = 0. Calculate c.
-1, 0, 1
Let s(g) = 45*g**2 - 137440*g + 104104845. Let z(v) = 5*v**2 - 15270*v + 11567205. Let x(k) = 6*s(k) - 55*z(k). Factor x(d).
-5*(d - 1521)**2
Let g(s) be the first derivative of 21*s**6/40 + 33*s**5/80 + s**4/48 - s**3/24 - 141*s + 29. Let a(m) be the first derivative of g(m). Factor a(n).
n*(3*n + 1)**2*(7*n - 1)/4
Let l(a) be the third derivative of a**8/84 - 44*a**7/35 - 173*a**6/15 - 632*a**5/15 - 165*a**4/2 - 284*a**3/3 + 436*a**2. Factor l(y).
4*(y - 71)*(y + 1)**3*(y + 2)
Let r = 35842/98571 - -2/98571. Let z be (1 + 1)*-1*(4 - 5). Suppose -1/11*s - r*s**z + 0 = 0. Calculate s.
-1/4, 0
Let l(t) be the second derivative of t**6/90 + 112*t**5/15 + 5525*t**4/4 - 5625*t**3 + 182*t + 3. Find n such that l(n) = 0.
-225, 0, 2
Factor -2*a**3 + 181*a - 63*a**2 + 116*a + 97 + 11*a**3 - 6*a**3 + 266.
3*(a - 11)**2*(a + 1)
Suppose y + 1 = -2*j - 2*y, j + 4*y = -13. Suppose -13*p + 18 = -j*p. Let 28*v + v - p*v**2 - 11*v = 0. Calculate v.
0, 6
Let d(s) = -s**4 + 21*s**3 - 5*s**2 - 73*s + 86. Let z(j) = -j**3 - 2*j**2 + j - 2. Let v(x) = 3*d(x) + 21*z(x). What is u in v(u) = 0?
-2, 1, 3, 12
Let i(f) be the second derivative of f**4/18 + 139*f**3/9 + 274*f**2/3 + 1637*f - 2. Suppose i(n) = 0. Calculate n.
-137, -2
Let n(v) be the first derivative of 0*v**2 + 13*v**5 - 5/2*v**6 - 86 + 0*v - 5*v**4 + 0*v**3. Factor n(w).
-5*w**3*(w - 4)*(3*w - 1)
Let s(z) be the second derivative of -z + 0*z**2 + 5/78*z**4 - 2/13*z**3 + 2/65*z**5 - 12. Factor s(h).
2*h*(h + 2)*(4*h - 3)/13
Suppose -178*b**4 + 9*b**2 + 3*b + 62*b**4 + 9*b**3 + 64*b**4 + 55*b**4 = 0. Calculate b.
-1, 0
Let o(u) be the first derivative of -2*u**4/21 + 9*u**3/7 + u**2 + 117*u - 105. Let z(r) be the first derivative of o(r). Let z(q) = 0. What is q?
-1/4, 7
Solve 2/3*z**2 - 262/3*z - 88 = 0.
-1, 132
Let w(o) be the second derivative of o**9/83160 + o**8/18480 + 13*o**4/12 - 2*o**2 - 2*o - 3. Let i(f) be the third derivative of w(f). Factor i(v).
2*v**3*(v + 2)/11
Let r(q) = q**2 + 15*q - 80. Let m be r(7). Factor -36 - m*o**3 - 42*o**2 + 14*o**4 + 60*o**2 + 114*o + 44*o**2.
2*(o - 3)**2*(o + 1)*(7*o - 2)
Let g(a) = -15*a**3 - 470*a**2 + 10*a + 5. Let z(l) = 1403*l**2 - 14*l - 7 + 10*l**3 + 12*l**3 - 698*l**2. Let n(t) = -7*g(t) - 5*z(t). Factor n(d).
-5*d**2*(d + 47)
Let v(a) be the third derivative of -3*a**6/8 - 973*a**5/20 + 140*a**4 - 66*a**3 + a**2 - 4759*a. Factor v(q).
-3*(q - 1)*(q + 66)*(15*q - 2)
Factor 640*n + 2027*n - 25*n**2 + 36*n**2 - 14*n**2.
-3*n*(n - 889)
Let l = 10 + 5. Let w = 21 - l. Factor 0*q**4 - 9*q**4 - 18*q**5 + 3 + 6*q**2 + 21*q**5 + w*q**3 - 9*q.
3*(q - 1)**4*(q + 1)
Let h(k) = 4*k**2 + 36*k + 60. Let u(p) = -p**2 - 5*p - 10. Let t(a) = a**2 + 4*a + 9. Let d(i) = -2*t(i) - 3*u(i). Let y(q) = 14*d(q) - 3*h(q). Factor y(c).
2*(c - 6)*(c + 1)
Let n be (3/(-4))/(6/(-4)). Suppose -24*x - 19 = 4*q - 27*x, 2*q = x - 5. Find y, given that 0 - n*y**4 - y**3 + 0*y**q + 0*y = 0.
-2, 0
Suppose -3*j + 78 = 3*o, -5*j + 5*o - 16 = -136. Let l be 4/(-6) - (j + -27). Factor 2/3*p**3 + 0*p**2 - 2*p + l.
2*(p - 1)**2*(p + 2)/3
Let y(p) = -4*p + 3*p**2 + 1 + 0 + 0 + 6*p. Let c be y(-1). Suppose 68*f**c + 1 + 0*f**5 - 16*f - 3 - 52*f**4 - 14 + 20*f**5 - 4*f**3 = 0. Calculate f.
-1, -2/5, 1, 2
Let g(i) be the first derivative of -3/10*i**2 - 2/15*i**3 + 1/20*i**4 + 0*i - 63. Factor g(v).
v*(v - 3)*(v + 1)/5
Let g(m) be the third derivative of -1/30*m**5 + 0*m**3 + 19*m**2 + 0*m - 1/3*m**4 + 0. Factor g(v).
-2*v*(v + 4)
Let v be (-1)/(-4)*-12 + (25 - 1). Suppose -t + 7 = 5*h - 2*t, -3*h = 5*t - v. Solve -1/4*k**3 + 1/4*k - 3/4*k**h + 0 + 3/4*k**4 = 0.
-1, 0, 1/3, 1
Let k = -11952 + 11978. Let q(n) be the first derivative of -k + 0*n - 2*n**2 - 4/5*n**5 + n**4 + 4/3*n**3. Solve q(u) = 0.
-1, 0, 1
Let b(h) be the second derivative of -h**5/140 - 17*h**4/84 - 19*h**3/21 + 4*h**2 - 630*h. Factor b(t).
-(t - 1)*(t + 4)*(t + 14)/7
Suppose 402*s = 401*s + 3*r + 32, 26 = 23*s + 2*r. Factor 4*u - 15/4 - 1/4*u**s.
-(u - 15)*(u - 1)/4
Let h = -5919235684 + 30436710095383/5142. Let g = h - 2/2571. Find z such that -1/2*z**2 - g + 9*z = 0.
9
Factor -53/6*u**2 - 41*u - 48 - 1/6*u**3.
-(u + 2)*(u + 3)*(u + 48)/6
Suppose -7/5*l**5 + 6*l**4 + 41