**5 - 5115*i**4/4 + 4805*i**3/3 - 1404. Factor g(s).
-5*s**2*(s - 31)**2*(s - 1)
Let l(j) be the second derivative of j**7/147 + 2*j**6/105 - 3*j**5/70 - 2*j**4/21 + 4*j**3/21 + 4*j - 161. Factor l(z).
2*z*(z - 1)**2*(z + 2)**2/7
Let y(v) be the second derivative of -1/10*v**6 + 1/4*v**4 + 0*v**2 + 17*v - 3/2*v**3 - 3 + 9/20*v**5. Factor y(w).
-3*w*(w - 3)*(w - 1)*(w + 1)
Let x(z) be the first derivative of -2*z**5/45 + 197*z**4/18 - 782*z**3/27 + 65*z**2/3 - 267. Factor x(q).
-2*q*(q - 195)*(q - 1)**2/9
Let j(w) be the first derivative of -169*w**6/1140 - 26*w**5/285 - w**4/57 + w**2 + 8*w - 10. Let s(g) be the second derivative of j(g). Factor s(f).
-2*f*(13*f + 2)**2/19
Let r(s) = 9*s**2 - 92*s + 9. Let u be r(10). Let w be u + -2 + 27 - 8. Factor w + 21/5*g + 3/5*g**2.
3*(g + 2)*(g + 5)/5
Suppose 8*a + 12 = 4*a. Let m(i) = -i**3 - 2*i**2 + 5*i + 9. Let q be m(a). Let -j**2 - 1 - q*j + 4*j + 0*j**2 - 3*j = 0. Calculate j.
-1
Suppose -2*c = 5*z - 14, -5*c - 513 + 531 = 4*z. Find p, given that 19/4*p**4 - 8*p - 20*p**c + 7/4*p**5 - 5*p**3 + 4 = 0.
-2, -1, 2/7, 2
Let x(m) = -m**2 - 11*m + 12. Let a = -393 + 381. Let s be x(a). Determine i, given that -1/2*i + 1/4*i**2 + s + 1/2*i**3 - 1/4*i**4 = 0.
-1, 0, 1, 2
Let d(k) be the second derivative of 1/8*k**4 + 0*k**2 + 3/40*k**5 - 3*k + 0*k**3 + 18. Suppose d(x) = 0. What is x?
-1, 0
Factor 13/3*g**3 + 16/3*g**2 - 1/3*g**4 + 0 - 28/3*g.
-g*(g - 14)*(g - 1)*(g + 2)/3
Let f(y) = -21*y**2 + 24*y + 13. Let q(c) = -10*c**2 + 12*c + 6. Let a(j) = -6*f(j) + 13*q(j). Factor a(s).
-4*s*(s - 3)
Suppose 0 = 4*i - 2*i + 2*r - 10, 0 = i + 2*r - 7. Suppose -795*s**2 + 5*s**i + 4035*s - 744385 + 3268*s + 34832*s = 0. Calculate s.
53
Let y(x) = -x**2 + 39*x - 357. Let l be y(23). Let t(i) be the second derivative of -1/48*i**4 - 1/24*i**3 - l*i + 0 + 0*i**2. Factor t(h).
-h*(h + 1)/4
Let v = -278/5 - -2227/40. Let k(j) be the second derivative of 0 - j**3 + 0*j**2 - 16*j + v*j**5 - 3/8*j**4. Factor k(z).
3*z*(z - 4)*(z + 1)/2
Let j = -20609 + 20610. Solve 1/2*n**3 + n - 7/4*n**2 + j = 0.
-1/2, 2
Let c(h) be the first derivative of -4*h**5 - 295*h**4/4 + 155*h**3/3 + 590*h**2 - 300*h - 5678. Let c(t) = 0. Calculate t.
-15, -2, 1/4, 2
Let l(n) be the second derivative of 0*n**2 - 63/25*n**5 + 49/50*n**6 - 27/20*n**4 - 1/5*n**3 - 19 + 4*n. Determine i so that l(i) = 0.
-1/7, 0, 2
Let i be 4 + (24 - (-474)/(-18)) + (-1)/2. Solve i*q**2 - 5/6*q + 1/6 - 1/2*q**3 = 0 for q.
1/3, 1
Suppose -351 = -14*u + 69. Let p(s) = -19*s**5 - 13*s**4 - 12*s**3. Let x(b) = -3*b**5 - b**4 - b**3. Let q(i) = u*x(i) - 5*p(i). Solve q(o) = 0.
-6, -1, 0
Suppose -1280*n**3 - 3551*n - 65 - 526*n**3 + 1206*n + 186*n**3 - 21240*n**2 = 0. What is n?
-13, -1/18
Let q(h) be the third derivative of 3*h**7/280 + 7*h**6/160 + h**5/16 + h**4/32 + 1975*h**2. Factor q(j).
3*j*(j + 1)**2*(3*j + 1)/4
Let p(w) = -44*w + 10*w + 18*w + 15*w + w**2. Let t be p(2). Factor -122 + 138 - 30*y - 3*y**t - 91.
-3*(y + 5)**2
Let s(d) = 12*d**2 - 1. Let c(j) = 76*j**3 + 392*j**2 + 263*j + 55. Let y(k) = -5*c(k) + 30*s(k). Factor y(m).
-5*(2*m + 1)**2*(19*m + 61)
Let n(f) be the second derivative of f**3/2 + 3*f**2/2 - 23*f. Let p be n(0). Let -6*t**3 + t**4 + t**2 - p*t**3 + 5*t**2 + 2*t**4 = 0. Calculate t.
0, 1, 2
Factor 93*b**2 + 34*b**2 + 576*b + 130 + 55*b**2 + 130 - 70*b**2.
4*(2*b + 1)*(14*b + 65)
Let v(r) be the second derivative of -3*r**5/100 + 21*r**4/20 - 2*r**3 + 1943*r. Factor v(j).
-3*j*(j - 20)*(j - 1)/5
Suppose -s - 1010 = -i, -s - 18 + 16 = 0. Let y = i - 1004. Suppose 10*j - y*j**2 - 25/4 = 0. Calculate j.
5/4
Let s(o) = o**4 - 7*o**3 + 5*o**2 + 3*o - 6. Let q(t) = t + 202 + t**3 - 202. Let x(l) = -2*q(l) - s(l). Determine z so that x(z) = 0.
-1, 1, 2, 3
Let d(r) = 2*r**3 + 2*r**2 + 5*r - 3. Let s(a) = a**3 + a**2 + 4*a - 2. Let p = 92 - 89. Let g(n) = p*s(n) - 2*d(n). Factor g(m).
-m*(m - 1)*(m + 2)
Let w(a) be the second derivative of -a**6/75 - 8*a**5/25 - 27*a**4/10 - 146*a**3/15 - 16*a**2 + 4173*a. Solve w(q) = 0.
-8, -5, -2, -1
Let w = 20643 + -103214/5. Let g(d) be the first derivative of 0*d - 35 + 0*d**3 - 1/18*d**6 - w*d**5 + 0*d**2 + 1/3*d**4. Let g(q) = 0. What is q?
-4, 0, 1
Let f = -123 + 128. Let a(s) = 7*s**4 - 3*s**3 - s**2 - 5*s - 9. Let x(k) = -3*k**4 + k**3 + k**2 + 3*k + 4. Let g(d) = f*x(d) + 2*a(d). Factor g(q).
-(q - 2)*(q + 1)**3
Let t(k) be the third derivative of k**6/24 - 347*k**5/12 + 448*k**2. Let t(q) = 0. What is q?
0, 347
Determine l, given that 138*l - 126*l**3 + 1915 + 20*l**4 - 12*l - 2044 - 23*l**4 + 132*l**2 = 0.
-43, -1, 1
Let p(r) = 4*r**2 - 3. Let q(g) = 145*g**2 - 6845*g + 5370. Let m(z) = -30*p(z) + q(z). Let m(y) = 0. What is y?
4/5, 273
Let z(u) be the third derivative of 1/210*u**6 - 1/42*u**4 + 0 + 0*u**5 + 0*u**3 - 54*u**2 + 0*u. Suppose z(c) = 0. Calculate c.
-1, 0, 1
Let k be -10*6/((-12)/10) - 2. Let c be k/120*5/8. Find z, given that 99/4*z - 81/4 - 19/4*z**2 + c*z**3 = 0.
1, 9
Let u be 932/(-840) + 48/42. Let q(b) be the second derivative of 0 - 3*b - 1/25*b**5 + 0*b**2 - 1/75*b**6 - u*b**4 + 0*b**3. Solve q(x) = 0.
-1, 0
What is i in 2/5*i**5 - 16/5*i**4 + 0*i + 32/5*i**3 + 0*i**2 + 0 = 0?
0, 4
Determine d so that -64*d - 659560*d**3 - 18*d**2 + 86*d**2 + 20 + 659536*d**3 = 0.
5/6, 1
Let h(y) be the first derivative of 5/2*y**4 - 10*y**3 + 15*y - 5/6*y**6 - 5/2*y**2 + 3*y**5 - 167. Suppose h(l) = 0. What is l?
-1, 1, 3
Let d(x) be the third derivative of 74*x**2 + 0*x**3 + 0 - 1/150*x**5 + 0*x + 1/20*x**4. Factor d(a).
-2*a*(a - 3)/5
Let i = 326 - 332. Let p be 21/i*((-968)/(-16))/(-11). Let 81/4*n**4 + 9*n**3 - 1 - p*n**2 - 9*n = 0. Calculate n.
-1, -2/9, 1
Let c = -34014 + 102097/3. Factor -5/3*t**4 + 0*t - c*t**3 + 130/3*t**2 + 0.
-5*t**2*(t - 2)*(t + 13)/3
Let o(q) = 7*q**2 + 15*q - 33. Let d be ((-6)/18)/(-1*(-2)/(-12)). Let h(v) = 3*v**2 + 7*v - 16. Let l(c) = d*o(c) - 5*h(c). Determine k so that l(k) = 0.
-7, 2
Let c be ((-2)/1 + 7)/((-2)/(-32)). Let z = c - 77. Factor -z*n + 0*n**2 + 2*n - n**2 + 0*n.
-n*(n + 1)
Solve 18/7*l**3 + 8/7 - 16/7*l - 30/7*l**2 = 0 for l.
-2/3, 1/3, 2
Let -72/7*j**3 + 0 - 4/7*j**5 + 32*j**2 + 640/7*j - 38/7*j**4 = 0. What is j?
-4, 0, 5/2
Let o = -229 - -235. Find r such that 11 - 40*r + 69 + 5*r**2 - o*r**2 + 6*r**2 = 0.
4
Let t = -115176 + 115176. Suppose 2/15*r**4 - 2/15*r**3 + 0*r**2 + t + 0*r = 0. Calculate r.
0, 1
Let p(j) be the first derivative of 3*j**5/20 + 9*j**4/16 - 63*j**3/4 - 201*j**2/8 + 189*j/2 - 6123. Solve p(b) = 0.
-9, -2, 1, 7
Let r be (-2 - (-6)/4) + 36/(-8). Let x(h) = -41*h - 15. Let q be x(r). Determine g, given that 8*g**3 + 6*g**2 - 190*g + 3*g**4 + q*g - 1 = 0.
-1, 1/3
Suppose 264*k**2 + 279*k**3 - 7*k**4 - 386*k + 116*k + 135*k**2 + 13*k**4 = 0. Calculate k.
-45, -2, 0, 1/2
Let z be -21 - (-1 - 26/(-1183)*-923). What is d in z*d**2 - 2/7*d**3 + 0 + 24/7*d = 0?
-3, 0, 4
Let r(y) be the second derivative of y**4/3 + 38*y**3/27 + 4*y**2/9 - 2042*y. Find w, given that r(w) = 0.
-2, -1/9
Factor -2/3*c**2 - 1/3*c**3 - 28/3 + 31/3*c.
-(c - 4)*(c - 1)*(c + 7)/3
Let k(j) = -5*j**3 - 150*j**2 - 740*j + 845. Let y(s) = -4*s**3 - 23*s**2 - 11. Let i be y(-6). Let o(m) = m**2 + m. Let a(x) = i*o(x) + k(x). Factor a(c).
-5*(c - 1)*(c + 13)**2
Let s = -121216/5 + 121218/5. Factor 0 + 36/5*i + 34/5*i**2 - s*i**3.
-2*i*(i - 18)*(i + 1)/5
Let n be 3/(9/(-3)) - -156. Factor -155*h + n*h + 21*h**3 - 15*h**4 + 3*h**5 - 9*h**2.
3*h**2*(h - 3)*(h - 1)**2
Let y(a) = -a**2 - 18*a - 55. Let p be y(-4). Let i(k) = k**3 + k**2 + k. Let z(g) = g**4 + 10*g**3 + 23*g**2 - 5*g - 32. Let s(v) = p*i(v) + z(v). Factor s(u).
(u - 1)*(u + 2)**2*(u + 8)
Let w(m) be the second derivative of m**4/6 + 26*m**3/3 + m**2 + 47*m + 5. Let r be w(-26). Factor 8/3 - 3*c + 1/3*c**r.
(c - 8)*(c - 1)/3
Let u(w) be the first derivative of 0*w - 28/3*w**3 - 8*w**2 + 68 - 2*w**4 + 4/5*w**5. Factor u(d).
4*d*(d - 4)*(d + 1)**2
Let z be -59 - (-21)/((-714)/(-2006)). What is p in 0*p + 10/3*p**3 - 2/3*p**4 + z + 4*p**2 = 0?
-1, 0, 6
Let z(c) = -c**3 + c**2 - 3*c - 1. Let r(h) = -20*h**3 - 19*h**2 + 182*h - 59. Let n(v) = -2*r(v) + 30*z(v). Suppose n(x) = 0. What is x?
-11, 1/5, 4
Let n(g) = -7*g**4 + 128*g**3 + 4351*g**2 - 132*g - 4352. Let a(u) = 9*u**4 - 127*u**3 - 4350*u**2 + 132