*3/6 - 2*h**2 - 16*h. Let r(c) be the first derivative of p(c). Factor r(b).
-(b + 3)*(b + 7)/7
Suppose 2*b + 1 = t, -5*t + 22 = 3*b - 9. Let n(m) be the second derivative of -16/27*m**3 + 12*m + 8/9*m**2 + 0 + 5/27*m**4 - 1/45*m**t. Factor n(s).
-4*(s - 2)**2*(s - 1)/9
Let o be (2/(-5))/((-32)/560). Let x be 255/35 - (0 + (o - 0)). Determine v so that -6/7 - 10/7*v - 2/7*v**2 + x*v**3 = 0.
-1, 3
Suppose 3*r - 3*a = 3, 19*a = 15*a + 12. Suppose 5*f = h + 7, 4*h - 2*f = 2*f + r. Factor 5*o**4 + 2 - 15*o**h - 2 - 8 + 5*o**2 + 15*o - 2.
5*(o - 2)*(o - 1)**2*(o + 1)
Suppose 0 = s + 5*a + 40, 0*a = -2*a - 2. Let w = s + 50. Determine q, given that -w*q**2 - 24*q - 10*q**3 + 10*q**3 - 12 - 3*q**3 = 0.
-2, -1
Determine n, given that -2*n**2 - 1573341 + 29205*n - 22265*n - 2163568 - 2283541 = 0.
1735
Suppose 18*h = 7*h + 4 + 18. Let w(b) be the first derivative of -1/6*b**6 + 1/2*b**4 - 1/2*b**h + 0*b + 0*b**3 - 17 + 0*b**5. Factor w(g).
-g*(g - 1)**2*(g + 1)**2
Determine g, given that -1953/5*g + 1956/5 - 3/5*g**2 = 0.
-652, 1
Suppose -160 = -6*l - 202. Let i be l/28 + (-3)/(-12). Factor 2/9*v**5 + 0*v**3 - 2/3*v**4 + i*v + 8/9*v**2 + 0.
2*v**2*(v - 2)**2*(v + 1)/9
Let r(f) be the second derivative of -f**5/8 + 2195*f**4/24 - 59950*f**3/3 - 60500*f**2 + 164*f + 1. Solve r(s) = 0 for s.
-1, 220
Factor 3*v**4 + 131622 + 131934 + 72*v**3 + 1044*v - 259881 + 642*v**2 + 1476*v.
3*(v + 5)**2*(v + 7)**2
Let i(l) be the second derivative of 32*l + 0*l**2 + 0 - 3/20*l**5 + 7/2*l**4 - 13/2*l**3. Let i(y) = 0. What is y?
0, 1, 13
What is b in -253/4*b - 1/4*b**3 - 127/2*b**2 + 0 = 0?
-253, -1, 0
Let b = 77 + -70. Suppose 0 = f, -18 = -3*m + 5*f - b*f. Determine a so that m*a**3 + 8*a**2 + 4*a**2 - 2*a**3 = 0.
-3, 0
Let z(q) = 2*q**2 + 48*q + 400. Let f(t) = -t**2 - 4*t - 4. Let d(n) = -4*f(n) - z(n). Factor d(h).
2*(h - 24)*(h + 8)
Let b(w) = 2*w**2 - 2579*w + 15405. Let u be b(6). Factor -n**2 - u + 7/2*n.
-(n - 2)*(2*n - 3)/2
Let a = -356 - -364. Factor a - 64*y + 21*y**2 + 7*y**2 + 40 - 4*y**3.
-4*(y - 3)*(y - 2)**2
Let m(v) be the first derivative of -v**3/7 - 963*v**2/7 - 309123*v/7 + 464. Find r such that m(r) = 0.
-321
Let n(y) be the first derivative of -y**4/16 + 23*y**3/6 - 38*y**2 - 5486. Factor n(i).
-i*(i - 38)*(i - 8)/4
Let i = 90 - 85. Factor -10*t + 36 + t**2 + 2*t - 24*t - i*t**2.
-4*(t - 1)*(t + 9)
Factor 2*y**3 + 9 - 343*y**2 + 363*y**2 + 31 + 58*y.
2*(y + 1)*(y + 4)*(y + 5)
Suppose -3*q - 2*k + 3 = 0, -5*q + 3 = 4*k - 0*k. Determine v, given that 3*v**2 + 5*v**q + v - 5*v**4 - 6*v**3 - 6*v + 2*v**2 + 6*v**3 = 0.
-1, 0, 1
Let r(i) be the first derivative of 7*i**4 - 1304*i**3 + 1386*i**2 + 1112*i - 2169. Determine w, given that r(w) = 0.
-2/7, 1, 139
Let d(w) be the first derivative of -119 + 0*w - 3/4*w**4 - 21*w**2 - 9*w**3. Suppose d(h) = 0. Calculate h.
-7, -2, 0
Let x = -44 - -48. Suppose 9 = x*y - 7. Let -n**4 + 8*n**y - 156*n**3 + 168*n**3 - 2*n + 3*n**2 = 0. Calculate n.
-1, 0, 2/7
Let l(y) = -3*y**3 + 15*y**2 + 44*y - 2. Let b(j) = -51*j**3 - 17 + 3*j**3 - 13 + 240*j**2 - 3 + 705*j. Let g(o) = -2*b(o) + 33*l(o). What is u in g(u) = 0?
-2, 0, 7
Let o(u) be the third derivative of 3*u**2 - 2/945*u**7 - 2 - 1/54*u**4 - 11/1080*u**6 + 0*u + 19/540*u**5 + 0*u**3. Factor o(m).
-m*(m - 1)*(m + 4)*(4*m - 1)/9
Let b(u) be the third derivative of 0 + 2/15*u**6 + 1/210*u**7 - 25*u**2 + 10*u**4 + 75/2*u**3 + 47/30*u**5 - 2*u. What is n in b(n) = 0?
-5, -3
Let x(n) be the second derivative of -2*n**6/45 - 27*n**5/10 - 3*n**4/2 + 514*n**3/9 - 80*n**2 + 7*n + 706. Solve x(p) = 0 for p.
-40, -3, 1/2, 2
Let y(m) = -8*m**3 + 34*m**2 - 32 + 15*m + 15 - 24. Let g(k) = -4*k**3 + 16*k**2 + 8*k - 20. Let x(j) = -7*g(j) + 4*y(j). Factor x(t).
-4*(t - 6)*(t - 1)*(t + 1)
Factor 760/3*x**2 + 0 + 5/3*x**3 + 28880/3*x.
5*x*(x + 76)**2/3
Let m(w) be the second derivative of 2*w**6/15 + 439*w**5/5 - 441*w**4 + 2650*w**3/3 - 884*w**2 - 5258*w. Factor m(r).
4*(r - 1)**3*(r + 442)
Let w(b) = b**3 - 2*b**2 + 2. Let u be (10/6 + -1)*(-27 + 30). Let d be w(u). Factor -3*n - 13*n + 82*n**d - 86*n**2.
-4*n*(n + 4)
Let y(d) be the first derivative of -4*d**3/3 - 34*d**2 - 280*d + 1094. Find c such that y(c) = 0.
-10, -7
Let h(b) be the third derivative of -b**5/12 - 755*b**4/12 - 500*b**3 - 744*b**2. Suppose h(o) = 0. What is o?
-300, -2
Let a = -913 + 1042. Let j be a*(-7)/210 - -5. Suppose -2/5*r**2 + 1/5 - j*r + 7/5*r**3 + 1/5*r**4 - 7/10*r**5 = 0. Calculate r.
-1, 2/7, 1
Factor 11/5*l**3 + 1/5*l**4 + 23/5*l**2 + 0 - 7*l.
l*(l - 1)*(l + 5)*(l + 7)/5
Let w(i) be the third derivative of -3*i**5/140 - 5*i**4/84 - 33*i**2 + 14. Let w(h) = 0. Calculate h.
-10/9, 0
Let p be (-112)/(-35) + (1216/80)/19. Solve 2/3*c**2 + 0 + 2/3*c**5 - 2/3*c**3 - 2/3*c**p + 0*c = 0.
-1, 0, 1
Let a(m) be the second derivative of 69*m**5/80 + 55*m**4/16 + 41*m**3/8 + 27*m**2/8 + 667*m. Suppose a(f) = 0. What is f?
-1, -9/23
Let s(g) = -16*g + 32. Let v be s(3). Let u(t) = -t**3 - 16*t**2 - t - 14. Let y be u(v). Suppose -5*i**y - 2/3*i**3 + 16/3*i - 4/3 + 5/3*i**4 = 0. What is i?
-2, 2/5, 1
Let y(m) be the second derivative of m**7/112 - 103*m**6/240 + 7*m**5/16 + 367*m**4/16 - 1731*m**3/16 + 1485*m**2/16 + 21*m + 4. What is a in y(a) = 0?
-5, 1/3, 3, 33
Suppose -4*n = -2*d - 376, 2*d - n + 584 = -d. Let z = d - -787/4. Solve z*t**2 + 0 + 3/2*t = 0.
-2, 0
Let w = -760 + 762. Let o(u) be the second derivative of 1/60*u**5 - 16*u + 0 + 1/36*u**4 - 2/3*u**w - 2/9*u**3. Factor o(c).
(c - 2)*(c + 1)*(c + 2)/3
Let k be -1*(-7)/((-147)/(-48)). Let m be 6/(-16) - ((-172935)/1960 + 21). Factor 324/7*b**3 + m*b**2 + 160/7*b + k.
4*(b + 1)*(9*b + 2)**2/7
Let y be (1 - 3) + 5 - -2. Suppose 3*j = 7*j - 16. Solve j*k**2 + 0*k + 5*k**3 - 5*k - 3*k**2 + 4*k**2 - y*k**4 = 0 for k.
-1, 0, 1
Let j(x) be the first derivative of 1/18*x**2 - 95 - 1/27*x**3 + 2/9*x. Suppose j(a) = 0. What is a?
-1, 2
Let h(d) be the third derivative of -3*d**6/40 - d**5/4 + 11*d**4/8 - 3*d**3/2 + 119*d**2 - 10. Factor h(z).
-3*(z - 1)*(z + 3)*(3*z - 1)
Let k(s) be the second derivative of 1/13*s**2 + 66*s - 1 + 13/2*s**4 + s**3 + 169/10*s**5. Factor k(i).
2*(13*i + 1)**3/13
Factor 4276/19*s**4 + 64114400*s**2 - 327699002500/19 - 3426140/19*s**3 - 161399415250/19*s - 2/19*s**5.
-2*(s - 535)**4*(s + 2)/19
Suppose 236/3*q**4 + 232/3*q - 76*q**3 - 4/3*q**5 + 0 - 236/3*q**2 = 0. What is q?
-1, 0, 1, 58
Let p(g) be the second derivative of g**4/66 + 26*g**3/33 + 8*g**2 - 2*g + 398. Factor p(b).
2*(b + 4)*(b + 22)/11
Let b(k) be the first derivative of -79 + 0*k + 6/5*k**2 + 1/15*k**3. What is v in b(v) = 0?
-12, 0
Factor -57408*k - 57132 - 1/3*k**3 - 829/3*k**2.
-(k + 1)*(k + 414)**2/3
Let u(g) be the second derivative of 0*g**2 - 1/75*g**6 - 2/25*g**5 - 34*g + 0 - 1/10*g**4 + 0*g**3. Factor u(b).
-2*b**2*(b + 1)*(b + 3)/5
Let z = -5693 - -5693. Let w(l) be the second derivative of 8*l - 3/2*l**2 - 2/3*l**3 + z - 1/12*l**4. Factor w(h).
-(h + 1)*(h + 3)
Let h(z) = 3*z**3 + 60*z**2 + 123*z + 86. Let v(c) = -3*c**3 - 63*c**2 - 123*c - 88. Let q(p) = -5*h(p) - 4*v(p). Factor q(b).
-3*(b + 1)*(b + 2)*(b + 13)
Solve 46*s**4 + 40*s**4 + 250*s**3 - 84*s**4 - 278*s**3 - 578*s**3 = 0 for s.
0, 303
Suppose -288/5*p - 108/5 + 39/5*p**3 + 9/5*p**5 - 183/5*p**2 + 51/5*p**4 = 0. What is p?
-3, -1, -2/3, 2
Let z = -332 + 382. Solve -2*f**5 - 55*f + 353 - 50*f + 10*f**3 - z*f**2 + 25*f + 10*f**4 - 385 = 0.
-1, 4
Factor 55/2*v + 1/2*v**2 + 377.
(v + 26)*(v + 29)/2
Let v(s) be the second derivative of -s**6/60 - 4*s**5/5 - 29*s**4/6 - 28*s**3/3 - 29*s + 11. Factor v(d).
-d*(d + 2)**2*(d + 28)/2
Let h(o) = 5*o - 74. Let z be h(19). Suppose -43 + z*r**4 + 4*r**2 + 3*r**5 + 2*r**2 - 54*r**3 + 61*r - 10*r + 16 = 0. What is r?
-9, -1, 1
Let v(u) be the third derivative of u**8/168 + 149*u**7/315 - 427*u**6/90 + 707*u**5/45 - 877*u**4/36 + 55*u**3/3 + 31*u**2 + 8*u. Find q such that v(q) = 0.
-55, 1/3, 1, 3
Let r(o) be the second derivative of -o**7/1260 + o**6/72 - o**5/10 - 11*o**4/6 + o - 10. Let x(h) be the third derivative of r(h). Factor x(u).
-2*(u - 3)*(u - 2)
Find x, given that 308/17*x + 6/17*x**4 - 1250/17*x**2 + 624/17 - 928/17*x**3 = 0.
-1, 2/3, 156
Let r(i) be the first derivative of -165/2*i + 85/2*i**2 - 121 - 5/6*i**3. What is g in r(g) = 0?
1