
Let j = -26048 - -26138. Factor -75/2*q - j*q**2 - 3/2*q**5 - 18*q**4 + 0 - 69*q**3.
-3*q*(q + 1)**2*(q + 5)**2/2
Let t(r) be the third derivative of -r**5/390 + 8*r**4/3 - 3328*r**3/3 - 300*r**2 + 3*r. Factor t(q).
-2*(q - 208)**2/13
Let n(f) be the first derivative of 1 - 16*f - 10/3*f**3 + 22*f**2. Factor n(b).
-2*(b - 4)*(5*b - 2)
Let q(w) be the third derivative of -w**8/80640 + w**7/3360 - w**6/360 - w**5/30 - w**4/3 + 38*w**2. Let j(x) be the third derivative of q(x). Factor j(h).
-(h - 4)*(h - 2)/4
Let s(i) be the second derivative of i**4/30 - 56*i**3/15 - 274*i. What is m in s(m) = 0?
0, 56
Let z(p) = p**2 + 2*p - 242. Let d be z(22). Let x = d + -283. Factor 105/4*o + 25/4*o**2 - 125/4*o**x - 45/4.
-5*(o + 1)*(5*o - 3)**2/4
Suppose 4626801/5 + 4302/5*n + 1/5*n**2 = 0. What is n?
-2151
Determine l so that -47*l - l**3 + 111 + 81 - 189 + 60 - 15*l**2 = 0.
-9, -7, 1
Let v be 1 - -6 - 1 - (-11928)/1420. Factor -2/5*g**4 - 168/5*g - v - 122/5*g**2 - 28/5*g**3.
-2*(g + 1)**2*(g + 6)**2/5
Let j = 7166/897 + 103/299. Determine h, given that -5/3*h**2 + j*h + 0 = 0.
0, 5
Suppose 84 = -4*b + 180. Factor -48 + 51 + b*g - 4*g**3 - 3 + 20*g**2.
-4*g*(g - 6)*(g + 1)
Let z(k) = k**3 + 12*k**2 + 21*k + 100. Let m be z(-11). Let g be (m/(-4) + -2)*(7 + -3). Find p such that 0 + 4/3*p + 1/6*p**g = 0.
-8, 0
Suppose 0*x + 5*x - 20 = 0, 0 = -3*w + 5*x - 161. Let r be 3*(-4 - w/3). Factor -3*a**2 + 7*a - r + 32 - a.
-3*(a - 1)**2
Suppose -66847*z - 2 = -66848*z. Find a such that 2/11*a**3 - 4/11 - 8/11*a**z + 10/11*a = 0.
1, 2
Let p(r) be the first derivative of -64 - 2/9*r**2 + 2/27*r**3 - 2/3*r. Determine g so that p(g) = 0.
-1, 3
Let y(b) be the third derivative of b**8/1176 - 3*b**7/35 + 727*b**6/210 - 6992*b**5/105 + 2944*b**4/7 + 139264*b**3/21 - 6*b**2 - b + 6. Solve y(l) = 0.
-2, 16, 17
Let w(z) = -7*z**3 + 149*z**2 - 930*z + 3. Let o(v) = -20*v**3 + 444*v**2 - 2792*v + 8. Let c(u) = -3*o(u) + 8*w(u). Solve c(r) = 0.
0, 9, 26
Let n(f) be the first derivative of -f**4/32 - 35*f**3/24 - 31*f**2/4 - 442. Factor n(c).
-c*(c + 4)*(c + 31)/8
Let p be ((-24)/(-3))/(-2) + 144/18. Factor j**2 + j**2 - 194 + 4*j**p + 122 + 20*j**3 - 84*j + 2*j**2.
4*(j - 2)*(j + 1)*(j + 3)**2
Suppose -h + 12*h = -8*h + 76. Let 0 + 35/3*g**3 + 5/3*g**h + 25/3*g + 55/3*g**2 = 0. What is g?
-5, -1, 0
Let m be (88/3)/44*3. Factor 2*l + 1/2*l**2 + m.
(l + 2)**2/2
Suppose 21*p + 95 - 44 = 38*p. Let v(r) be the third derivative of 0*r**4 - 1/60*r**5 - p*r**2 + 1/6*r**3 + 0*r + 0. Suppose v(y) = 0. Calculate y.
-1, 1
Suppose 0 = -3*n + 497 - 77. Let o = n - 126. Factor -m**3 + 6*m**2 + 4*m**3 + 147*m - o*m**2 - 34*m**2.
3*m*(m - 7)**2
Let x(l) be the third derivative of -2*l**4 + 0*l**5 - 8*l**3 + 10*l**2 + 1/10*l**6 + 0 + 0*l + 1/70*l**7. Solve x(g) = 0.
-2, 2
Let v(b) = b**2 - 10*b - 36. Let w be v(13). Factor -6*c**4 + 16*c**4 - 4*c**2 + 18*c**3 - 36*c**w.
2*c**2*(c - 2)*(5*c + 1)
Let r(o) be the second derivative of -o**6/15 - 51*o**5/10 + o**4/6 + 17*o**3 + 4701*o. What is g in r(g) = 0?
-51, -1, 0, 1
Let m(z) be the first derivative of -z**2/2 + z + 334. Let b(o) = 7*o - 3*o + 5*o + 3*o**2 - 3. Let h(c) = -b(c) - 3*m(c). Let h(k) = 0. Calculate k.
-2, 0
Let l(f) be the second derivative of -f**5/5 + 479*f**4/3 + 1934*f**3 + 8730*f**2 + 1135*f + 4. Let l(v) = 0. What is v?
-3, 485
Let x(i) be the third derivative of -i**8/96 + 23*i**7/140 - 17*i**6/15 + 67*i**5/15 - 11*i**4 + 52*i**3/3 - 85*i**2 - 5*i. Factor x(v).
-(v - 2)**4*(7*v - 13)/2
Let y(v) = 9*v - 1393. Let w be y(155). Factor -98/11 - 16/11*q**3 - 120/11*q**w - 252/11*q.
-2*(2*q + 1)*(2*q + 7)**2/11
Let a(m) = -2*m**2 + 11*m + 8. Let o be a(6). Let u be 3 - ((-10)/o + 1749/231). Factor 0 - u*f**2 - 2/7*f - 1/7*f**3.
-f*(f + 1)*(f + 2)/7
Let f(q) be the first derivative of 2*q**3/21 + 250*q**2/7 + 31250*q/7 + 1485. What is s in f(s) = 0?
-125
Let n be -45*8/(-48)*1. Let t(b) be the second derivative of 15*b + n*b**4 + 20*b**2 - 50/3*b**3 + 1/6*b**6 - 7/4*b**5 + 0. Solve t(x) = 0 for x.
1, 2
Suppose -2*b = -0*w - w + 10, -2*w - 2*b = -20. Suppose 15 = -7*o + w*o. Let -15*x + 3 - o*x**2 - 7 - 6 = 0. What is x?
-2, -1
Let o(l) be the third derivative of 0 - 7*l**2 - 1/160*l**6 - l - 2*l**3 - 9/80*l**5 - 3/4*l**4. Determine s, given that o(s) = 0.
-4, -1
Let y(d) = -d**2 - 16*d + 68. Let a be y(-20). Let r(i) = 2*i**2 + 21*i - 34. Let q be r(a). Factor -1/2*b**q - 3 - 7/2*b.
-(b + 1)*(b + 6)/2
Factor 38/3*n + 1/3*n**2 - 56.
(n - 4)*(n + 42)/3
Let z(b) be the second derivative of -12*b**2 - 46/3*b**3 + 4/3*b**4 + 0 + 83*b. Find a, given that z(a) = 0.
-1/4, 6
Let i be ((-402)/36 + 11)/(((-3)/3)/12). Determine w, given that 3/7*w**3 - 12/7*w**i + 0 + 9/7*w = 0.
0, 1, 3
Let p = -57 + 64. Suppose 4*x - 319 = -p*x. What is i in 0*i**2 - 55*i + x*i**2 - i**2 + 39*i = 0?
0, 4/7
Let -72*w - 228 + 4/3*w**2 = 0. Calculate w.
-3, 57
Let r(v) be the third derivative of v**7/210 + 143*v**6/120 + 1631*v**5/20 - 15695*v**4/24 + 5329*v**3/3 - 432*v**2. Factor r(m).
(m - 2)*(m - 1)*(m + 73)**2
Solve 4514*w - 3188*w + 566 + 2*w**2 + 758 = 0 for w.
-662, -1
Let i(y) be the second derivative of 68*y - 10/27*y**3 - 1/180*y**5 - 8/9*y**2 + 0 - 2/27*y**4. Factor i(f).
-(f + 2)**2*(f + 4)/9
Let j(p) be the first derivative of -31 + 8*p + 2*p**3 + 15/2*p**2 - 1/4*p**4. Suppose j(r) = 0. Calculate r.
-1, 8
Let r(y) = -3*y**3 - 902*y**2 + 7*y + 896. Let v(c) = -c**3 + 6*c**2 - c - 3. Let b(o) = r(o) + 2*v(o). Determine h so that b(h) = 0.
-178, -1, 1
Let g = -94424/171 - -6396/19. Let v = -1934/9 - g. Factor -4/9*z**2 + v*z**3 + 0 + 0*z - 2/9*z**4.
-2*z**2*(z - 2)*(z - 1)/9
Let i(n) be the first derivative of n**3/12 - 97*n**2/8 - 1940. Suppose i(w) = 0. What is w?
0, 97
Let k(p) = 23*p - 250. Let h be k(11). Let c(u) be the second derivative of 1/8*u**4 + 1/6*u**h + 1/40*u**5 + 0*u**2 + 6*u + 0. Factor c(q).
q*(q + 1)*(q + 2)/2
Suppose 17*w + 19 = 3*q + 12*w, 0 = 5*q - 2*w - 19. Factor 3*f**4 + q*f**3 + 6*f**2 - 12 - 33*f**2 + 4*f + 29*f.
3*(f - 1)**3*(f + 4)
Let n be 32/(-12) - 4288/(-201). Let -4/3*a**5 - 16*a**3 + 56/3*a**4 - n*a**2 + 52/3*a + 0 = 0. What is a?
-1, 0, 1, 13
Let x be 1*1/10*2. Let g(o) = o**3 + 71*o**2 - 461*o + 77. Let j be g(-77). Determine z so that -x*z**3 + 0*z + j - 3/5*z**2 = 0.
-3, 0
Let u(q) be the third derivative of 49*q**5/150 + q**4/120 - 876*q**2. Factor u(i).
i*(98*i + 1)/5
Solve -2/5*y**3 - 1458/5*y - 108/5*y**2 + 0 = 0 for y.
-27, 0
Let c(d) be the third derivative of d**6/30 - 61*d**5/5 - 123*d**4/2 - 370*d**3/3 - 1589*d**2 - 4. Suppose c(n) = 0. What is n?
-1, 185
Let b(l) = 87*l**2 + 572*l + 14. Let h(v) = 86*v**2 + 577*v + 7. Let g(m) = 2*b(m) - 3*h(m). Factor g(k).
-(k + 7)*(84*k - 1)
Let a be (4 + -4)*-41*29/(-4756). Factor -2/7*c + 2/7*c**4 + a - 6/7*c**3 + 6/7*c**2.
2*c*(c - 1)**3/7
Let g(s) be the first derivative of 31/6*s**2 + 1/12*s**4 - 5*s - 33 - 17/9*s**3. Factor g(b).
(b - 15)*(b - 1)**2/3
Find g, given that 139 + 53428*g - 3*g**3 + 8 - 53617*g + 45*g**2 = 0.
1, 7
Let l be (-6)/((15/9)/(20*11/(-396))). Determine v, given that -2/7*v**3 + 16/7*v**l - 2*v**4 - 2/7 - 5/7*v**5 + v = 0.
-2, -1, 1/5, 1
Solve 0 - 1/5*m**2 - 7*m = 0 for m.
-35, 0
Let y(x) be the second derivative of -1/42*x**7 + 108*x**2 + 0 - 107/20*x**5 - 3/5*x**6 - 33/2*x**4 + 18*x**3 + 54*x. Factor y(a).
-(a - 1)*(a + 1)*(a + 6)**3
Suppose -242/5*r - 2/5*r**2 + 744/5 = 0. Calculate r.
-124, 3
Find c, given that 1072*c + 349*c**2 + 37*c**2 - 4*c**3 - 4788 - 4300*c - 942*c**2 = 0.
-133, -3
Let v(x) be the second derivative of -x**8/8400 - x**7/1400 + x**6/1800 + x**5/200 + 8*x**3 - 10*x + 1. Let k(r) be the second derivative of v(r). Factor k(a).
-a*(a - 1)*(a + 1)*(a + 3)/5
Let d(q) be the second derivative of 0*q**2 - 7/20*q**5 - 33 - 1/15*q**6 + 5/3*q**4 + 1/42*q**7 - 2*q**3 - q. Suppose d(u) = 0. What is u?
-3, 0, 1, 2
Suppose -4*w = 0, -163 = -5*z + w - 38. Determine a so that 6 - 6 + 12*a**2 - 40*a + z*a**3 + 0 + 5*a**4 - 2*a**2 = 0.
-4, -2, 0, 1
Let d(g) = 3*g**2 - 114*g + 328. Let q be d(3). Determine j, given that -1/2*j**3 - 12 - 49/2*j - q*j**2 = 0.
-24, -1
Suppose 0 = -4*n - 3*v + 11, 2*n - 7*v - 7 = -10*v. Let -3 + 0*w**2 + w + 1 - 2*w**n - 5*w = 0. Calculate w.
-1
Let d(j) be the second derivative of -j**7/105 + j*