 that -126*d + 1833 - 414 + 2550 - 2*d**g + 3*d**2 = 0.
63
Let j be (168/(-1120))/(4/96*9)*-80. Find g, given that 52/5*g**2 + 64/5 - j*g + 12*g**3 + 9/5*g**4 = 0.
-4, 2/3
Let r(n) be the third derivative of -n**7/420 + 13*n**6/96 - 31*n**5/240 - n**4/3 - 5*n**2 - 13*n. Suppose r(h) = 0. What is h?
-1/2, 0, 1, 32
Suppose -51*v - 34*v = -20*v. Let q(c) be the third derivative of 0*c + 1/300*c**5 + v + 0*c**3 + 1/20*c**4 + 40*c**2. Factor q(b).
b*(b + 6)/5
Let s(h) = h**2 - 11*h - 7. Let b(m) = -4*m - 2. Let o(c) = c**3 - 5*c**2 - 7. Let n be o(5). Let y(d) = n*b(d) + 2*s(d). Find i, given that y(i) = 0.
-3, 0
Let x(b) be the first derivative of 5*b**6/6 - 21*b**5 + 365*b**4/2 - 2260*b**3/3 + 1620*b**2 - 1760*b - 3860. Factor x(h).
5*(h - 11)*(h - 4)*(h - 2)**3
Let w(o) be the first derivative of 25 - 4/3*o**3 + 17/2*o**2 - 4*o. What is p in w(p) = 0?
1/4, 4
Let t(m) = -9*m**2 + 627*m + 600. Let h(k) = 10*k**2 - 629*k - 597. Let w(p) = -6*h(p) - 7*t(p). Factor w(l).
3*(l - 206)*(l + 1)
Let g(o) be the third derivative of 5*o**5/2 + 455*o**4/8 - 23*o**3 + 906*o**2. Find p, given that g(p) = 0.
-46/5, 1/10
Let v(g) = -2*g**4 + g**3 + 3*g**2 - g. Let i(p) = 9*p**4 + 6*p**3 - 52*p**2 + 50*p - 18. Let r(a) = 3*i(a) + 15*v(a). Factor r(h).
-3*(h - 6)*(h - 3)*(h - 1)**2
Let p(d) = 13*d - 13. Let o(b) = -14*b + 13. Let h(m) = 4*o(m) + 5*p(m). Let y be h(10). Find t such that 4*t**3 - y*t**2 + 2*t**4 + 83*t**2 - 12*t**3 = 0.
0, 1, 3
Factor 192025/4*p**3 - 4000752 - 4096197*p**2 + 8049132*p - 379/2*p**4 + 1/4*p**5.
(p - 252)**3*(p - 1)**2/4
Let a = -144 + 142. Let q be (45/a)/(-52 + 49). Determine i, given that 0 - 3/2*i**2 - q*i = 0.
-5, 0
Let m(a) be the second derivative of a**5/30 + 7*a**4/18 + 2*a**3/3 - 1189*a. Factor m(s).
2*s*(s + 1)*(s + 6)/3
Let z(g) be the first derivative of -35/2*g**2 - 5 - 5/3*g**3 + 0*g. Factor z(k).
-5*k*(k + 7)
Let v(i) be the second derivative of -1/6*i**3 + 1/15*i**6 - 1/6*i**4 + 1/42*i**7 - 15*i + 0*i**2 + 0*i**5 - 1. Factor v(k).
k*(k - 1)*(k + 1)**3
Let s(f) be the first derivative of -5*f**4/8 + 1195*f**3/6 - 2375*f**2/4 + 1185*f/2 - 353. Factor s(h).
-5*(h - 237)*(h - 1)**2/2
Suppose v = 3*p - 3*v - 389, 5*p + 5*v - 625 = 0. Let l = 130 - p. Factor 18*w**4 - 27*w**2 - 39*w**3 + 63*w**2 + w - l*w**5 - 13*w.
-3*w*(w - 2)**2*(w - 1)**2
Suppose 537/2*o - 9/4*o**3 + 0 - 1605/4*o**2 = 0. Calculate o.
-179, 0, 2/3
Let w(c) be the first derivative of 2/9*c - 1/6*c**2 - 46 - 5/27*c**3. Suppose w(u) = 0. Calculate u.
-1, 2/5
Let r be (-408)/119*(-21)/9 - -46. Let n be (6/(-8))/((-1)/4). Find k, given that 1764*k + n*k**3 - 8232 - 37*k**2 - r*k**2 - 35*k**2 = 0.
14
Let a(j) = 13*j**2 - 3*j - 11. Let o(q) = 20*q**2 - 4*q - 16. Let b be (-2 + -4)*28/21. Let y(v) = b*a(v) + 5*o(v). Factor y(u).
-4*(u - 2)*(u + 1)
Let w(t) be the first derivative of 3*t**4/10 - 122*t**3/5 + 1134*t**2/5 + 1995. Suppose w(s) = 0. Calculate s.
0, 7, 54
Let -3/2*o**3 + 0 + 405/2*o**2 + 204*o = 0. What is o?
-1, 0, 136
Determine y, given that -2/5*y**4 - 14/5*y**3 + 126/5*y - 144/5 + 34/5*y**2 = 0.
-8, -3, 1, 3
Let o(q) be the first derivative of -3/20*q**4 + 8/15*q**3 + 3/10*q**2 + 0*q + 306. Factor o(a).
-a*(a - 3)*(3*a + 1)/5
Factor 48*d + 189/2 + 3/8*d**2.
3*(d + 2)*(d + 126)/8
Let h = -199548 - -798199/4. Suppose 1/4*f**2 - h*f - 15/2 = 0. Calculate f.
-3, 10
Let -2/13*j**2 - 548/13*j + 550/13 = 0. Calculate j.
-275, 1
Let a(g) be the third derivative of -g**5/180 + 98*g**4/9 - 76832*g**3/9 + 1564*g**2. Solve a(z) = 0 for z.
392
Suppose f - 8 = -3*i + 7*i, 5*f = -2*i + 84. Let g be 5*-2*(-188)/5. Factor f + 143*w**2 + g*w**2 - 168*w - 686*w**3 - 2*w**2 + 71*w**2.
-2*(7*w - 2)**3
Let y(s) = -11*s**4 + 3*s**3 + 20*s**2 - 9*s - 5. Let h(x) = x**4 + x**3 - 2*x**2 + x + 1. Let a be 24/(-60) - 6/10. Let c(m) = a*y(m) - 5*h(m). Factor c(q).
2*q*(q - 2)*(q + 1)*(3*q - 1)
Suppose 27 = 2*v + z, -44 = -v + 2*z - 38. Let f be 4*15/v + -5. Factor f + 1/6*j + 1/6*j**2 - 1/6*j**4 - 1/6*j**3.
-j*(j - 1)*(j + 1)**2/6
Let l be 128/48*2565/2660. Suppose 0 - 6*o**3 - 6/7*o**2 + 4/7*o - l*o**5 - 50/7*o**4 = 0. What is o?
-1, 0, 2/9
Factor -24 + 1/4*d**3 + 59/2*d - 23/4*d**2.
(d - 16)*(d - 6)*(d - 1)/4
Let z(h) = 3*h + 2. Let d(x) = -x**5 + 53*x**4 - 726*x**3 + 572*x**2 + 1361*x + 6. Let u(t) = -d(t) + 3*z(t). Factor u(k).
k*(k - 26)**2*(k - 2)*(k + 1)
Let w(b) = 12*b**3 - 224*b**2 + 16. Let t be ((-1)/2)/((-15)/(-240)). Let d(i) = -4*i**3 + 75*i**2 - 6. Let q(j) = t*d(j) - 3*w(j). Factor q(g).
-4*g**2*(g - 18)
Suppose 97 + 169 = 17*s - 6. Let f(l) be the third derivative of -4/27*l**3 - 13/108*l**4 - s*l**2 - 1/945*l**7 + 0 - 1/18*l**5 - 7/540*l**6 + 0*l. Factor f(a).
-2*(a + 1)**3*(a + 4)/9
Factor 666/7 + 2/7*r**2 - 668/7*r.
2*(r - 333)*(r - 1)/7
Determine q, given that -158*q**2 + 134*q**3 - 57*q**2 - 220*q - 129*q**3 = 0.
-1, 0, 44
Let y = -212397 - -212397. Let -3/5*d + y + 3/5*d**2 + 3/5*d**3 - 3/5*d**4 = 0. What is d?
-1, 0, 1
Let a(b) = -19*b**3 - 16*b**2 + 33*b - 25. Let m(v) = -3*v**3 - v + 1. Let j(n) = -2*a(n) + 14*m(n). Let j(d) = 0. Calculate d.
2, 4
Suppose -84 = 47*p + 56 - 281. Factor 2/7*d**p + 2/7*d**2 + 0 + 0*d.
2*d**2*(d + 1)/7
Let c(h) be the third derivative of -18 + 10/3*h**3 - 5/336*h**8 + 4/21*h**7 + 7/3*h**5 - 85/24*h**4 + 0*h + 3*h**2 - 11/12*h**6. Suppose c(l) = 0. What is l?
1, 4
Let v(c) be the first derivative of c**4/18 + 22*c**3/27 + 28*c**2/9 - 445. Factor v(q).
2*q*(q + 4)*(q + 7)/9
Find c, given that -140*c**3 + 980 - 975*c**2 + 180*c + 3808*c**4 - 40*c - 3813*c**4 = 0.
-14, -1, 1
Let w(a) be the first derivative of -a**5/120 - a**4/6 + 111*a**2/2 - 105. Let j(t) be the second derivative of w(t). Factor j(i).
-i*(i + 8)/2
Suppose 3*l + 110 = -5*i + 47, -2*i = -27*l + 138. Suppose 2/7*t + 6/7*t**l - 2/7*t**3 + 0 - 6/7*t**2 = 0. What is t?
-1, 0, 1/3, 1
Let s(u) be the third derivative of u**7/42 - 11*u**6/12 - 11*u**5/4 + 595*u**4/12 - 460*u**3/3 - 89*u**2. What is w in s(w) = 0?
-4, 1, 2, 23
Let n(s) be the second derivative of -s**7/210 + 17*s**6/75 + 18*s**5/25 + s**4/30 - 71*s**3/30 - 18*s**2/5 + 6437*s. Factor n(i).
-(i - 36)*(i - 1)*(i + 1)**3/5
Suppose 7*l - 308 = -322. Let y(i) = 7*i**2 - 15*i**3 + i**2 - 3*i**2. Let a(z) = 7*z**3 - 3*z**2. Let b(r) = l*y(r) - 5*a(r). Factor b(g).
-5*g**2*(g - 1)
Suppose 3*l = 12*h - 8*h - 213, 5*l = -2*h + 139. Suppose -1116*u**3 + 12 + h + 324*u**4 - 37 - 336*u - 265*u**2 + 1361*u**2 = 0. What is u?
2/9, 1, 2
Let w(v) be the third derivative of -v**7/840 + 11*v**6/160 + 49*v**5/80 + 43*v**4/96 - 37*v**3/4 - 1338*v**2. Find s, given that w(s) = 0.
-3, -2, 1, 37
Let r(b) be the third derivative of 1/21*b**7 + 0*b + 1 + 1/24*b**6 - 1/12*b**5 + 6*b**2 + 0*b**3 + 0*b**4. Factor r(j).
5*j**2*(j + 1)*(2*j - 1)
Suppose 4*l - 3*a - 14 = 0, 4*l - 2 = -5*a + 28. Suppose 4*m - 43*x = -40*x - 2, l*x = 5*m + 5. Factor -2*g**2 - 5/2*g - 1/2*g**3 - m.
-(g + 1)**2*(g + 2)/2
Let k(j) be the third derivative of -49*j**2 + 0*j**3 + 2/45*j**5 + 1/9*j**4 - 1/504*j**8 - 1/60*j**6 - 4/315*j**7 - j + 0. Suppose k(u) = 0. Calculate u.
-2, -1, 0, 1
Suppose 57 - 63 = -3*j. Let r(w) be the second derivative of -1/60*w**4 + 3/10*w**j - 21*w - 1/15*w**3 + 0. Factor r(c).
-(c - 1)*(c + 3)/5
Solve -3/4*u**2 - 1696512 + 2256*u = 0.
1504
Let p be 72546/66 - (-63)/(-7). Let t = p + -1090. What is f in t*f**4 - 2/11*f**2 + 5/11*f**5 + 0*f - 5/11*f**3 + 0 = 0?
-1, -2/5, 0, 1
Factor 1/2*b**2 + 3698 + 86*b.
(b + 86)**2/2
Let g(t) be the first derivative of -1/7*t**2 + 16 - 36*t + 4/7*t**3 + 13/42*t**4. Let z(a) be the first derivative of g(a). Let z(k) = 0. Calculate k.
-1, 1/13
Let s(w) be the third derivative of w**5/110 - 47*w**4/44 + 46*w**3/11 + 12*w**2 + 11*w. Factor s(h).
6*(h - 46)*(h - 1)/11
Suppose 5*b + 5*k = 185, 8 + 14 = b - 2*k. Factor 284*j**4 - 769*j**4 - 487*j**4 - b*j - 400*j**2 - 590*j**5 - 1512*j**3 + 3506*j**5.
4*j*(j - 1)*(9*j + 2)**3
Let u(n) = -11*n + 178. Let y be u(11). Let c be 7 - 1*y/9. Let -3*w - 4/3*w**2 + 5*w**3 - c = 0. Calculate w.
-2/5, -1/3, 1
Let l(g) = -g**3 - 6*g**2 + 10*g + 55. Let u be l(-7). Solve -12*m**3 + 24 - 63*m**2 + 60*m**2 + u*m - 73*m**4 + 74*m**4 = 0 for m.
-1, 2, 12
Let -163*i + 442/3 + 16*i**2 - 1/3*i**3 = 0. What is i?
1, 13, 34
Let x(q) be the third derivative of -q**7