 r(-10). Let x be (-4)/(-9) - (-440)/(-99) - g. What is s in 2/15*s**x + 4/15*s - 16/15 = 0?
-4, 2
Let g be (2 - (-4 - 1)) + 9 + -8. Determine s, given that 8*s**3 - 4*s**4 + s + 92*s**2 - g*s - 70*s**2 + 17*s**3 = 0.
-1, 0, 1/4, 7
Determine f, given that -1560/7*f - 304200/7 - 2/7*f**2 = 0.
-390
Let b(n) be the first derivative of 1/2*n**3 - 87/4*n**2 - 111 + 42*n. Solve b(j) = 0.
1, 28
Factor -864/5 - 2/5*o**4 + 8*o**3 + 864/5*o - 288/5*o**2.
-2*(o - 6)**3*(o - 2)/5
Let n(t) be the third derivative of 0*t**3 + 0*t + 0 + 44*t**2 - 1/300*t**6 - 7/150*t**5 + 0*t**4. What is m in n(m) = 0?
-7, 0
Let u(a) be the first derivative of 4*a**5/5 - 7*a**4 - 452*a**3/3 - 210*a**2 - 1631. Factor u(n).
4*n*(n - 15)*(n + 1)*(n + 7)
Let y(p) be the second derivative of 3*p**5/100 - 22*p**4/5 - 271*p**3/10 - 273*p**2/5 + 48*p + 6. Factor y(x).
3*(x - 91)*(x + 1)*(x + 2)/5
Let c(w) be the third derivative of 0*w + 0 - 1/20*w**5 - 6*w**3 + 46*w**2 + 13/8*w**4. Suppose c(m) = 0. Calculate m.
1, 12
Let p = -54/505 + 85/606. Let z(n) be the second derivative of 2/3*n**4 + 0*n**2 + 6*n + 8/3*n**3 + p*n**6 + 0 - 7/20*n**5. Factor z(x).
x*(x - 4)**2*(x + 1)
Factor 4*l**4 + 21840*l + 1863*l**2 + 44100 + 3204*l**2 + 208*l**3 - 1523*l**2.
4*(l + 5)**2*(l + 21)**2
Let y(j) = 53*j**2 + 3*j - 3. Let n = -18 - -19. Let m be y(n). Factor 58*p**2 + 1 - m*p**2 - 1.
5*p**2
Let b(u) be the second derivative of -u**4/4 - 451*u**3/2 + 2730*u**2 + 4*u + 440. Factor b(x).
-3*(x - 4)*(x + 455)
Let i(k) be the second derivative of -k**7/70 - 37*k**6/5 - 25668*k**5/25 + 37*k**4/2 + 6845*k**3/2 - 9248*k. What is q in i(q) = 0?
-185, -1, 0, 1
Find g such that 14/3*g**3 - 4 + 22/3*g**2 - 14/3*g - 10/3*g**4 = 0.
-1, -3/5, 1, 2
Let l = 14102 + -14100. Let d(f) be the first derivative of 5/3*f**3 + 45*f - 15*f**l - 36. Suppose d(j) = 0. What is j?
3
Let d be ((-448)/(-10))/14 + 12/(-60). Solve 0*f**2 - 4/7 - 10/7*f + 4/7*f**4 + 10/7*f**d = 0.
-2, -1, -1/2, 1
Suppose -6*z + 139 = 43. Suppose 4*h - z*h + 0*h**3 + 10*h**2 + 2*h**3 = 0. Calculate h.
-6, 0, 1
Factor 34*z**3 + 52 - 25*z**2 - 7*z**3 - 28*z**3 + 28*z.
-(z - 2)*(z + 1)*(z + 26)
Suppose -1649 = 16*m - 1809. Let j(k) be the third derivative of -1/300*k**6 - 4/15*k**3 - m*k**2 + 0 - 1/75*k**5 + 7/60*k**4 + 0*k. Factor j(s).
-2*(s - 1)**2*(s + 4)/5
Factor 0 + 1/5*j**3 - 48/5*j**2 - 153/5*j.
j*(j - 51)*(j + 3)/5
Let i(u) = -u**2 + 49*u + 58. Let c(w) = w**2 - 25*w - 28. Let b be (-31)/8 - 6/48. Let j(t) = b*i(t) - 7*c(t). Find y, given that j(y) = 0.
-4, -3
Suppose 0 = 3*m + 179 - 212. Suppose -b**4 + 253*b**3 + 4*b**5 - 269*b**3 - m*b**4 = 0. Calculate b.
-1, 0, 4
Let g = -21427/6 + 7143/2. Factor 2 + g*p**3 - 4/3*p**2 + 1/3*p.
(p - 3)*(p - 2)*(p + 1)/3
Factor -5/4*b**3 + 35/4*b**2 - 90 + 165/2*b.
-5*(b - 12)*(b - 1)*(b + 6)/4
Let m(h) be the second derivative of 5*h**4/12 + 520*h**3/3 + 3075*h**2/2 - 3341*h. Factor m(j).
5*(j + 3)*(j + 205)
Suppose 38*d - 39*d = -121. Suppose 0 = 13*o - d + 95. Factor 1715/3 - 245*a - 5/3*a**3 + 35*a**o.
-5*(a - 7)**3/3
Suppose 3*i - 2*i + 14 = -5*j, -4*i + j = -28. Let v = 6303 - 6300. Suppose 3*o**2 - 5*o**4 - 4*o**3 - 5*o + 3*o**v + i*o**3 + 2*o**2 = 0. What is o?
-1, 0, 1
Let h be ((-6)/(-772))/((143/26)/(-11)). Let u = h + 5232/1351. Let -9*b**3 + 0 - 48/7*b**2 - 12/7*b - u*b**4 = 0. Calculate b.
-1, -2/3, 0
Let j(l) be the third derivative of -l**5 + l + 0*l**3 + 7*l**2 + 15/2*l**6 + 1/24*l**4 + 0. Factor j(o).
o*(30*o - 1)**2
Let y = -64/429 + 3259/1716. Factor y*a + 0 + 1/4*a**2.
a*(a + 7)/4
Suppose 5*r - 5*n + 3 + 2 = 0, -n = -3*r + 5. Suppose 8 = r*b - 1. Let -2*z + 180 - z**b - 3*z**2 - 180 = 0. Calculate z.
-2, -1, 0
Let h be -5208*(41 - 36 - (-52)/(-10)). Let n = -1022 + h. Let -104/5*q**3 + 0 + n*q**5 - 16/5*q**2 + 0*q - 28*q**4 = 0. Calculate q.
-2/7, 0, 2
Let o be -1*1770/(-60) - 17. Determine f, given that -15/2*f**3 - 2 - o*f**2 - 9/2*f**5 + 29/2*f**4 + 12*f = 0.
-1, 2/9, 1, 2
Let c(j) = -160*j - 16. Let x be c(-1). Let o be 2 + -1 + 688/x. Factor 2366/9*m**3 + 16/9 - 152/9*m - o*m**2.
2*(7*m + 2)*(13*m - 2)**2/9
Let p be (-2)/(-7) + 122/(-48678)*57. Suppose x**3 - 9/7*x**2 + p*x**4 + 8/7 - x = 0. What is x?
-8, -1, 1
Let k(g) = g**2 - 6*g + 2. Let p(i) = 7*i**2 - 53*i + 12. Let f(o) = -6*k(o) + p(o). Factor f(r).
r*(r - 17)
Let r(b) = 7*b + 3*b**2 + 2*b - 11*b + 6 - 5*b**2. Let t(a) = 8*a**2 + 6*a - 24. Let f(c) = 22*r(c) + 6*t(c). What is p in f(p) = 0?
-1, 3
Let i(p) be the third derivative of p**7/12600 + 7*p**6/1800 + 49*p**5/600 - p**4/24 + p**3/6 - 20*p**2. Let d(k) be the second derivative of i(k). Factor d(m).
(m + 7)**2/5
Let u = 231 + -223. Factor 12*i + i**2 - 3*i**3 + 18 - 15*i - 5*i**2 - u*i**2.
-3*(i - 1)*(i + 2)*(i + 3)
Find w, given that 1/7*w**2 - 810/7 + 39/7*w = 0.
-54, 15
Let f(n) be the third derivative of -9*n**7/280 - n**6/8 + 2*n**5/5 + 5*n**4/2 + 2*n**3 - 830*n**2 - 3. Suppose f(r) = 0. Calculate r.
-2, -2/9, 2
Let w(a) be the first derivative of -3*a**6/14 + 24*a**5/35 - 3*a**4/4 + 2*a**3/7 + 1343. Suppose w(l) = 0. What is l?
0, 2/3, 1
Let u(i) = -60*i + 795. Let o be u(16). Let f be (-228)/o + 16/(-88). What is w in -2/5*w**5 + 0 - 8/5*w**4 - f*w**3 + 8/5*w**2 + 8/5*w = 0?
-2, -1, 0, 1
Let r be (-24)/(-70) - (-4)/(-14). Let g(t) be the first derivative of 4/7*t**2 - 9 + r*t**5 - 8/7*t + 2/7*t**3 - 2/7*t**4. Factor g(d).
2*(d - 2)**2*(d - 1)*(d + 1)/7
Solve -16*k - 100*k**2 - 127*k**2 + 307*k**2 + 52*k**3 - 44*k**4 = 0.
-1, 0, 2/11, 2
Let l(d) be the first derivative of 0*d + 0*d**2 + 0*d**3 + 6/11*d**4 - 81 - 2/55*d**5. Find y, given that l(y) = 0.
0, 12
Let p(w) = 7*w**4 - w**3 + 44*w**2 - 5*w - 27. Let b(i) = 4*i**4 + 23*i**2 - 2*i - 15. Let a(l) = -9*b(l) + 5*p(l). Factor a(z).
-z*(z - 1)**2*(z + 7)
Let r(y) be the first derivative of y**4/10 - 2*y**3/5 - y**2/5 + 6*y/5 + 821. What is q in r(q) = 0?
-1, 1, 3
Let q be ((-1536)/(-336) - 2)*7/15. Factor 3*x**2 + 0 + q*x.
3*x*(5*x + 2)/5
Let c(v) = 3*v**3 + 471*v**2 + 1838*v + 1861. Let w(o) = -o**3 - 234*o**2 - 920*o - 930. Let f(i) = 2*c(i) + 5*w(i). Factor f(k).
(k - 232)*(k + 2)**2
Let v(s) be the second derivative of -s**4/4 + 24*s**3 - 1701*s**2/2 - 523*s. Let v(a) = 0. Calculate a.
21, 27
Let t(b) be the second derivative of b**5/20 - 11*b**4/2 - 1484*b. Suppose t(g) = 0. What is g?
0, 66
Let k = -46 - -94. Suppose -k = -m - m. Factor 8*y**4 - 2*y**4 + m*y**2 - 8*y**4 - 32*y.
-2*y*(y - 2)**2*(y + 4)
Factor -368*o**2 - 390*o**2 + 118*o - 397*o**2 + 1455*o**2 + o**3 - 419*o**2.
o*(o - 118)*(o - 1)
Let 0*j + 0 - 2/9*j**4 - 160/3*j**2 - 76/9*j**3 = 0. Calculate j.
-30, -8, 0
Suppose 3*h = 13*h - 90. Factor h - 116*n + 52*n + 55*n + n**3 - n**2.
(n - 3)*(n - 1)*(n + 3)
Let b(w) = 14*w**2 + 1074*w + 438. Let a(t) = 45*t**2 + 3237*t + 1313. Let c(k) = 6*a(k) - 17*b(k). Determine s, given that c(s) = 0.
-36, -3/8
Let c = -61 - -151. Let f be ((-12)/10 - 0)*c/(-18). Let -9*v + 5*v**3 - 2 - f*v**3 - 4*v**2 + 4*v = 0. What is v?
-2, -1
Let y(c) be the third derivative of c**6/70 - 33*c**5/140 - 27*c**4/56 - 44*c**2. Factor y(l).
3*l*(l - 9)*(4*l + 3)/7
Suppose -4*n + 30 = -18. Let x = 3 - n. Let k(t) = 4*t**3 - 12*t**2 - t. Let s(v) = -v**3 + 3*v**2. Let h(b) = x*s(b) - 2*k(b). Factor h(m).
m*(m - 2)*(m - 1)
Let o be 0/(-1) + (12 - 6). Let p(r) = -3*r**2 + 5*r - 7. Let x(a) = -a**2 + 3*a - 3. Let m(u) = o*p(u) - 14*x(u). Solve m(k) = 0.
-3, 0
Let c(n) be the third derivative of -n**6/320 + 3*n**5/80 + 9*n**4/16 + 5*n**3/2 + 30*n**2 + 36. Solve c(v) = 0.
-2, 10
Let m(w) = -6*w**3 - 1355*w**2 + 2723*w - 1362. Let y(u) = 3*u**3 + 677*u**2 - 1361*u + 681. Let o(q) = -2*m(q) - 5*y(q). Determine z, given that o(z) = 0.
-227, 1
Suppose -87 = -15*u - 12. Factor 0 - 183*o + 2*o**2 + u + 173*o + 3*o**2.
5*(o - 1)**2
Let f(z) be the first derivative of -3*z**5/25 - 3*z**4/20 + 9*z**3/10 - 3*z**2/5 + 53*z + 96. Let k(x) be the first derivative of f(x). Solve k(c) = 0.
-2, 1/4, 1
Let z(n) be the third derivative of n**7/210 - n**6/24 - 8*n**5/15 - 3*n**4/2 - 5*n**2 - 79*n + 1. Factor z(k).
k*(k - 9)*(k + 2)**2
Suppose 8 = a + 5. Suppose 39*i**2 - 3*i**5 + 27*i**3 + 254 - 24*i - 150 - 140 - a*i**4 = 0. What is i?
-2, -1, 1, 3
Let u(d) be the first derivative of 5*d**2/2 + 37*d + 29. Let i be u(-7). Suppose 19*x**2 + 5*x