)). Factor 0 + 2/11*p**5 + 0*p + 6/11*p**s + 0*p**2 - 8/11*p**3.
2*p**3*(p - 1)*(p + 4)/11
Let i be 71 + (-1 - 0)*(-3 - 2). Factor -320 + i*r - 2*r**2 - 369 - 38 + 5.
-2*(r - 19)**2
Let r(p) be the third derivative of -7/30*p**5 + 0*p - 1/12*p**6 - 1/4*p**4 + 0*p**3 + 0 - 77*p**2 - 1/105*p**7. Suppose r(f) = 0. Calculate f.
-3, -1, 0
Let n(y) be the third derivative of 0*y + 1/630*y**7 + 0*y**4 + 0 + 0*y**5 - 155*y**2 + 0*y**3 - 49/360*y**6. Suppose n(x) = 0. Calculate x.
0, 49
Let r = -4707 - -4708. Let i(f) be the first derivative of -5/4*f**4 + 40*f + 10*f**3 - 30*f**2 + r. Factor i(a).
-5*(a - 2)**3
Let m = 286207/15 + -95389/5. Factor -m*f - 2/15*f**2 + 14/5.
-2*(f - 1)*(f + 21)/15
Let t = 76673/6 - 38314/3. What is n in 0 + 3/2*n**4 + 1/2*n**5 - 3*n + 17/2*n**2 - t*n**3 = 0?
-6, 0, 1
Let d(f) be the third derivative of -f**7/210 - f**6/20 - 3*f**5/20 + f**4/6 + 2*f**3 + 797*f**2. Let d(m) = 0. What is m?
-3, -2, 1
Let z(f) be the third derivative of 1/40*f**6 + 17 + 3*f**4 + 0*f - 8*f**3 + 2*f**2 - 9/20*f**5. Determine i so that z(i) = 0.
1, 4
Let q be (-72)/(-2340) - (-4)/(-130). Let m(b) be the third derivative of 5*b**2 + 1/240*b**5 + 1/48*b**4 + q*b**3 + 0*b + 0. Factor m(s).
s*(s + 2)/4
Suppose 4*s - 41479*m + 41481*m + 28 = 0, -2*m = 5*s + 28. Determine c, given that 51/4*c**3 + 0 - 99/4*c**4 - 3/2*c**2 + s*c = 0.
0, 2/11, 1/3
Let u be (124/155*3)/((-9)/(-15)). Find f, given that 0 - 14/3*f**2 + 0*f**3 + 2/3*f**4 - u*f = 0.
-2, -1, 0, 3
Let w be (-2)/2 + (-16)/(-14). Let b = -3782 + 3784. Let w*n**b - 1/7*n + 1/7*n**3 - 1/7*n**4 + 0 = 0. What is n?
-1, 0, 1
Let l(r) be the first derivative of -3*r**6/8 + 127*r**5/10 - 7*r**4/2 - 1417. Let l(m) = 0. What is m?
0, 2/9, 28
Let r(v) = -428745*v**3 + 110225*v**2 - 9445*v + 265. Let m(z) = 214373*z**3 - 55115*z**2 + 4723*z - 133. Let w(n) = -5*m(n) - 2*r(n). Factor w(j).
-5*(35*j - 3)**3
Suppose -10*l + 59 = 19. Solve i**4 + 16 - 60*i + 6 + 14 + 13*i**2 + 6*i**3 + l*i**3 = 0 for i.
-6, 1
Factor 400/7 - 398/7*h - 2/7*h**2.
-2*(h - 1)*(h + 200)/7
Let c(d) be the second derivative of -d**4/20 + 17*d**3/10 - 9*d**2 + 3*d - 2. Factor c(m).
-3*(m - 15)*(m - 2)/5
Let p(i) be the third derivative of -i**6/280 + 13*i**5/140 + 99*i**4/28 + 342*i**2 + 1. Factor p(b).
-3*b*(b - 22)*(b + 9)/7
Factor 1817*p + 1/3*p**3 - 31205/3 + 51*p**2.
(p - 5)*(p + 79)**2/3
Let j(s) = -22*s - 724. Let m(y) = y**2 + 175*y + 5790. Let q(c) = -34*j(c) - 4*m(c). Factor q(d).
-4*(d - 26)*(d + 14)
Suppose -a - a - 2 = -3*u, -6 = -4*a + u. Factor 979*g**a - 23*g**3 + 4*g**5 - 68*g - 24 - 1045*g**2 - 3*g**5.
(g - 6)*(g + 1)**2*(g + 2)**2
Let h = 772935/515294 + 3/257647. Factor -9*u**2 - h - 3*u**3 - 27/4*u.
-3*(u + 2)*(2*u + 1)**2/4
Let q(u) = 12*u - 4. Let a(g) = -g**3 + 3*g**2 + g + 1. Let b(m) = 4*a(m) + q(m). Suppose b(f) = 0. Calculate f.
-1, 0, 4
Find t such that 1/5*t**5 + 6/5 + t - 8/5*t**2 - 6/5*t**3 + 2/5*t**4 = 0.
-3, -1, 1, 2
What is s in 245*s**4 - 1241 - 15180*s - 36415*s**2 - 575 - 22890*s**3 - 84 = 0?
-1, -2/7, 95
Let w(r) be the second derivative of -r**5/5 + 5*r**4 - 18*r**3 - 486*r**2 + 2*r + 1943. Factor w(h).
-4*(h - 9)**2*(h + 3)
Let v(c) be the second derivative of c**5/90 - c**4/6 + 26*c**3/27 - 8*c**2/3 + 6*c - 55. Factor v(x).
2*(x - 4)*(x - 3)*(x - 2)/9
Let r(a) be the first derivative of 4*a**6/39 + 2474*a**5/65 + 213*a**4/2 + 3686*a**3/39 + 307*a**2/13 + 13086. Determine b, given that r(b) = 0.
-307, -1, -1/4, 0
Let d(t) be the first derivative of 59/3*t + 1/12*t**4 + 119/6*t**2 + 313 + 61/9*t**3. Factor d(i).
(i + 1)**2*(i + 59)/3
Let a = -529 + 61. Let r = -466 - a. Let 8/9*f**4 + 0*f + 0 + 4/9*f**5 + 0*f**r + 0*f**3 = 0. What is f?
-2, 0
Factor 289*b - 642*b**2 - 655*b**2 + 35*b + 1294*b**2.
-3*b*(b - 108)
Let y be (-6)/(-12) + (-2 - 6612/(-8)). Let q = -823 + y. Find a, given that -8/3*a - 16/3 + 7/3*a**q - 1/3*a**3 = 0.
-1, 4
Let z(b) be the first derivative of b**4/6 + 692*b**3/9 - b**2/3 - 692*b/3 - 3073. Factor z(o).
2*(o - 1)*(o + 1)*(o + 346)/3
Factor 10/11*g**3 + 0 + 1/11*g**4 - 39/11*g**2 + 0*g.
g**2*(g - 3)*(g + 13)/11
Let g be (-296)/(-111)*(6 + 0). Let 16 - 4*n**4 - 207*n**3 - g*n - 8*n**2 + 223*n**3 - 4*n**2 = 0. What is n?
-1, 1, 2
Let h(x) be the second derivative of -40*x + 0 - 2/9*x**3 - 1/27*x**4 - 4/9*x**2. Let h(z) = 0. Calculate z.
-2, -1
Suppose 4*p - 120 = -2*r, 4*p + 100 = 2*r - 4. Let i be (-122)/(-976) - (-57)/r. Suppose 4/7*m**4 + 2*m**3 - 10/7*m**2 + 0 - i*m = 0. What is m?
-4, -1/2, 0, 1
Let r be 17*(-2)/(-408) - 2/24. Let i(c) be the second derivative of 1/36*c**3 + 0*c**2 + 1/36*c**4 + 1/120*c**5 + r - 3*c. Suppose i(p) = 0. What is p?
-1, 0
Let o = 176 - 172. Suppose 2*u - v = 5, v = -4*u - o*v - 25. Factor 2/5*z**5 + 4/5*z**3 + u*z + 6/5*z**4 + 0*z**2 + 0.
2*z**3*(z + 1)*(z + 2)/5
Let a(i) be the third derivative of i**7/210 - i**6/24 - i**5/5 + 19*i**4/6 - 40*i**3/3 + 890*i**2. Factor a(j).
(j - 5)*(j - 2)**2*(j + 4)
Let a = -62825 - -62827. Factor -4/5*q - 48/5 + 4/5*q**a.
4*(q - 4)*(q + 3)/5
Let b = -37385253/7 - -5340751. Let n(s) = s + 2. Let d be n(3). Suppose 2/7*l + 0 - 2/7*l**d - b*l**4 + 0*l**3 + 4/7*l**2 = 0. Calculate l.
-1, 0, 1
Suppose -7*j + 6*j + 1036 = -4*p, 5*j - 5195 = 5*p. Factor s**2 + s**2 - 300 + 2*s**2 + 18*s**2 - j*s + 13*s**2.
5*(s - 30)*(7*s + 2)
Let n(k) be the third derivative of -k**6/30 + 31*k**5/5 - 304*k**4/3 + 344*k**3 + 7*k**2 + 38. Factor n(x).
-4*(x - 86)*(x - 6)*(x - 1)
Let y = -3658443/5 - -731691. Factor 74/5*b - 2/5*b**3 - 12 - y*b**2.
-2*(b - 3)*(b - 1)*(b + 10)/5
Let c(p) = -p**2 + 5*p - 30. Let g be c(5). Let h be (-1022)/g - ((-816)/85)/16. Find m, given that -16/9 - 49/9*m**4 - 224/9*m**3 - 128/9*m - h*m**2 = 0.
-2, -2/7
Let b be -9*(-8 + 770/99). Let c(g) be the second derivative of 1/6*g**4 - 5/3*g**3 + 0 + 4*g**b + 2*g. Suppose c(j) = 0. Calculate j.
1, 4
Let a(i) be the third derivative of -5*i**8/336 + 109*i**7/21 + 55*i**6/3 + 6*i**2 + 905*i. Determine o, given that a(o) = 0.
-2, 0, 220
Let o(k) be the third derivative of 5*k**8/336 - 501*k**7/14 + 23500*k**6 + 141376*k**5/3 - 2*k**2 - 789*k - 4. Factor o(v).
5*v**2*(v - 752)**2*(v + 1)
Let z(p) be the second derivative of -p**6/36 - 13*p**5/12 - 55*p**4/18 + 130*p**3/9 + 80*p**2 - 468*p. Suppose z(d) = 0. Calculate d.
-24, -2, 2
Let b(l) be the first derivative of -2*l**5/25 + 37*l**4/10 - 182*l**3/5 - 1093*l**2/5 - 1564*l/5 + 4892. Suppose b(g) = 0. What is g?
-2, -1, 17, 23
Let n = 6977/2 - 15357/10. Let f = n + -1944. Factor 2/5*q**2 + 242/5 - f*q.
2*(q - 11)**2/5
Suppose 0 = -2*j + 15 - 133. Let w = 61 + j. Factor w*c**4 + 2*c**3 - 4*c**3 + 2*c**3 - 4*c**3 + 12*c - 10*c**2.
2*c*(c - 3)*(c - 1)*(c + 2)
Let c(j) = 10*j**3 + 32*j**2 - 54*j + 212. Let k(b) = -b**3 - 8*b**2 + b - 1. Let n(v) = c(v) + 8*k(v). Factor n(f).
2*(f - 17)*(f - 2)*(f + 3)
Let x be (-125)/10*-10*(-2)/(-225). Let z = -32/9 - -4. Factor -x*u + 2/3*u**2 - 2/9*u**4 + z + 2/9*u**3.
-2*(u - 1)**3*(u + 2)/9
Let 4/9*g**2 + 216 + 220/3*g = 0. What is g?
-162, -3
Let x(v) = 80*v**3 + 2990*v**2 - 12780*v + 13415. Let d(j) = 9*j**3 + 332*j**2 - 1420*j + 1492. Let k(z) = -35*d(z) + 4*x(z). Factor k(w).
5*(w - 2)**2*(w + 72)
Let n(h) be the second derivative of 187/18*h**3 - 7*h + 0 + 1/12*h**4 - 21*h**2. Factor n(o).
(o + 63)*(3*o - 2)/3
Let d(i) = -i**3 + 2*i**2 + 10*i + 2. Let u be d(-4). Suppose 129*p**3 + 64*p - 84*p**4 - u*p + 1 - 51*p**2 - 1 = 0. What is p?
0, 1/4, 2/7, 1
Let y be (1/(-8))/((-224)/768) - (-2)/(-21). Suppose 4608 - 576*o - y*o**3 + 24*o**2 = 0. Calculate o.
24
Let t(i) be the first derivative of -1/6*i**4 + 112 + 2*i**3 + 18*i - 9*i**2. Factor t(u).
-2*(u - 3)**3/3
Let q = 84760 + -593318/7. Determine m, given that 0*m + 0 + 0*m**2 - 2/7*m**3 - q*m**4 = 0.
-1, 0
Suppose 139/4*f + 23 + 95/8*f**2 + 1/8*f**3 = 0. Calculate f.
-92, -2, -1
Let i(b) be the second derivative of b**4/30 - 5*b**3 - 76*b**2/5 + 2*b - 125. Factor i(g).
2*(g - 76)*(g + 1)/5
Let b(l) be the third derivative of 0*l + 1/40*l**6 + 2*l**3 + 0*l**4 - 19*l**2 + 0 - 3/20*l**5. Factor b(m).
3*(m - 2)**2*(m + 1)
Let n(q) = -q**2 - 7*q + 3. Let r be n(-7). Let t be 3/(-6)*(r/9 + -1). Determine u so that -1/3*u**2 + 1/6*u + 1/6*u**5 - t*u**3 + 1/6 + 1/6*u**4 = 0.
-1, 1
Let f = 2/483 - 79/2415. Let j = 151/385