30*n + 126 = -16*n. Suppose -n*p + 19 = -4*p + 3*l, -5*l = -5*p - 5. Determine u, given that 18/11 + 2/11*u**p + 12/11*u = 0.
-3
Let u(b) = b**5 + b**4 - 1. Let l(k) = -k**5 - 8*k**4 + 12*k**3 - 10*k**2 + 3*k + 2. Let y be (-37)/(-13) - (-112)/728. Let d(f) = y*l(f) + 6*u(f). Factor d(a).
3*a*(a - 3)*(a - 1)**3
Let t(a) be the second derivative of -a**5/20 - 6*a**4 - 216*a**3 + 244*a + 7. Factor t(p).
-p*(p + 36)**2
Let m(n) = 37*n**2 - 819*n + 40782. Let u(w) = 20*w**2 - 410*w + 20390. Let o(x) = 6*m(x) - 11*u(x). Solve o(q) = 0.
101
Factor 174243/8 + 3/8*d**3 + 172797/8*d - 1443/8*d**2.
3*(d - 241)**2*(d + 1)/8
Let g(m) be the first derivative of 3/5*m**2 + 25 + 1/6*m**3 - 1/60*m**4 - 20*m. Let o(k) be the first derivative of g(k). Factor o(i).
-(i - 6)*(i + 1)/5
Let u be (3 + 60/(-28))/((-75)/(-35)). Let 12/5*q - 14/5 + u*q**2 = 0. Calculate q.
-7, 1
Suppose 5*u - 10 = r, 3 + 13 = -4*u. Let t be 3/(-4)*(80/r - 0). Factor -8*m**2 - 7*m**2 - 2*m**3 - 9*m**2 + 20*m**t.
-2*m**2*(m + 2)
Let s be (((-425)/(-840))/17 - 6/(-63))*(-512)/(-160). Suppose -3*j = k - 6, 6*j - 20 = -5*k + j. Find p, given that -98/5 - 6*p**2 - s*p**k - 126/5*p = 0.
-7, -1
Let b(l) = 2*l - 4. Let o(f) = -f + 3. Let t(w) = 3*b(w) + 4*o(w). Let z(u) = u**2 + 27*u + 6. Let q(n) = -44*t(n) + 4*z(n). What is m in q(m) = 0?
-3, -2
Let w(d) = 7*d**4 - d**2. Let t(g) = -152*g**4 - 12*g**3 + 38*g**2 + 12*g - 18. Let p(l) = -2*t(l) - 44*w(l). Suppose p(y) = 0. Calculate y.
-1, 1, 3
Let x(f) be the second derivative of f**4/10 + 5*f**3 + 252*f**2/5 - 986*f. What is h in x(h) = 0?
-21, -4
Factor 648/11*m - 3888/11 - 24/11*m**4 - 2/11*m**5 - 18/11*m**3 + 540/11*m**2.
-2*(m - 3)**2*(m + 6)**3/11
Let m(d) be the first derivative of -d**3/15 + 69*d**2/5 - 81*d - 1171. Factor m(z).
-(z - 135)*(z - 3)/5
Factor -4595*t + 4765*t - 170*t**3 + 59*t**2 - 1499*t**2 - 6*t**4 + 1445 + t**4.
-5*(t - 1)*(t + 1)*(t + 17)**2
Determine f, given that -1639*f + 5*f**2 - 112 + 1669*f + 32 = 0.
-8, 2
Suppose -4*u = 8*x - 0*u - 36, 18 = 5*x + 2*u. Find z such that x - 22/9*z**2 - 8/9*z + 2/3*z**3 = 0.
-1/3, 0, 4
Let w = -345 - -350. Factor 7 + 8*c + 0*c**3 - 66*c**2 - c**3 + w + 65*c**2.
-(c - 3)*(c + 2)**2
Let g be 6/81*105/56. Let m(q) be the second derivative of 0 - 21*q + g*q**3 - 1/6*q**2 - 1/24*q**4. Factor m(f).
-(f - 1)*(3*f - 2)/6
Let j(c) be the second derivative of -40*c - 1/10*c**3 + 0*c**4 - 1/5*c**2 + 1/100*c**5 + 0. Factor j(b).
(b - 2)*(b + 1)**2/5
Let s = 2975 - 1740. Let q = -2455/2 + s. Factor 0 + q*i - 3/2*i**3 - 6*i**2.
-3*i*(i - 1)*(i + 5)/2
Let p(t) = -14*t**2 - 9962*t - 4979. Let g(s) = -124*s**2 - 89656*s - 44810. Let n(h) = 3*g(h) - 26*p(h). Factor n(v).
-4*(v + 1244)*(2*v + 1)
Let m(z) = 4*z**3 + z**2 - z. Let c(a) = 6*a**3 + 62*a**2 - 2*a. Let g(p) = c(p) - 2*m(p). Factor g(q).
-2*q**2*(q - 30)
Let n(p) be the first derivative of 2*p**3/9 - 97*p**2/3 - 2153. Factor n(x).
2*x*(x - 97)/3
Solve 30752/23 + 26/23*o**3 + 3232/23*o**2 + 100936/23*o = 0 for o.
-62, -4/13
Find v such that 0 - 464/9*v**2 + 26912/9*v + 2/9*v**3 = 0.
0, 116
Let h(s) be the third derivative of s**6/40 + 33*s**5/20 - 73*s**4/8 - 105*s**3/2 + 5038*s**2. Factor h(n).
3*(n - 3)*(n + 1)*(n + 35)
Let b = -9 - -11. Let l(i) be the first derivative of -8/3*i**3 - 18 + 43/12*i**4 - 2*i**5 + 7/18*i**6 + 2/3*i**b + 0*i. Suppose l(f) = 0. What is f?
0, 2/7, 1, 2
Let a = 628115 + -3140569/5. Let -a - 42/5*k**3 - 37/5*k + 2/5*k**4 + 7/5*k**5 - 68/5*k**2 = 0. Calculate k.
-1, -2/7, 3
Let j(v) be the third derivative of 16/135*v**6 + 45 - 176/9*v**4 + 0*v + 479/135*v**5 + 121/3*v**3 + 1/945*v**7 + v**2. Determine t, given that j(t) = 0.
-33, 1
Let y(p) = p**2 - 13*p + 3. Let a = -62 + 75. Let z be y(a). Factor 20*x + 4*x**4 - 8*x**4 + 3*x**4 - 65*x**z - 20*x**2 - 24*x**4.
-5*x*(x + 1)*(x + 2)*(5*x - 2)
Solve 46/15*h - 2/15*h**4 + 0 - 94/15*h**2 + 10/3*h**3 = 0.
0, 1, 23
Let x(j) be the first derivative of -151 - 108*j**2 + 2916*j + 4/3*j**3. Solve x(a) = 0.
27
Let m be 4/(-7) + (-162)/(-14). Let n be (-96)/144 + m/3 + 1. Suppose -2*c**n + 8*c**3 - 6*c + 13*c**3 + 9*c**2 - 7*c**4 - 15*c**5 = 0. Calculate c.
-1, 0, 2/5, 1
Let c be 0/(-1) - (-12)/(-1 + 5). Suppose 3*d + 4*j + 6 = -4, 2*j + 10 = d. Factor -2*b**c + 2*b + 10*b**d + 2*b - 4*b**3.
-2*b*(b - 2)*(3*b + 1)
Let n be 8/2 - (-4)/8*2. Let q = n + 10. Factor 12*g**2 - 10*g**2 + q*g**4 + 40*g**3 + 12*g**2 + 21*g**2 + 10*g.
5*g*(g + 1)**2*(3*g + 2)
Let y(b) be the second derivative of -b**4/16 - 601*b**3/2 - 1083603*b**2/2 - 1825*b. Find g such that y(g) = 0.
-1202
Let x(c) = -163*c**2 - 81*c - 638. Let o(q) = -140*q**2 - 80*q - 636. Let m(w) = 7*o(w) - 6*x(w). Factor m(h).
-2*(h + 13)*(h + 24)
Let q(o) be the second derivative of o**6/30 + 29*o**5/20 + 35*o**4/2 + 2*o - 1301. Factor q(i).
i**2*(i + 14)*(i + 15)
Let m(p) be the first derivative of -5*p**3/12 - 333*p**2/8 + 67*p/2 + 2370. Factor m(w).
-(w + 67)*(5*w - 2)/4
Let g(q) be the second derivative of -3*q**5/140 + 9*q**4/28 + 81*q**3/14 + 405*q**2/14 - 55*q - 3. Factor g(k).
-3*(k - 15)*(k + 3)**2/7
Let k(y) be the first derivative of -y**3/15 - 87*y**2/5 - 344*y/5 + 6581. Factor k(g).
-(g + 2)*(g + 172)/5
Suppose 35 - 87 + 40 = -4*b. Let a(v) be the second derivative of 0 + 2*v**2 + 1/3*v**b - 5*v - 1/6*v**4. Determine g so that a(g) = 0.
-1, 2
Let a(d) = -14*d**2 + 322*d - 1758. Let k(g) = 165*g**2 - 3865*g + 21100. Let p(j) = 35*a(j) + 3*k(j). Determine h, given that p(h) = 0.
6, 59
Let p(d) be the third derivative of 1/30*d**5 - 1/210*d**7 - 62*d**2 - 1/540*d**6 - 1/6*d**3 + 1/216*d**4 + d + 0 + 1/3024*d**8. Find g such that p(g) = 0.
-1, 1, 9
Factor -2/9*y**2 + 92/9*y + 94/9.
-2*(y - 47)*(y + 1)/9
Let a be (-3)/(-4 - 26/(-8)). Factor 10*y**a + 16*y**3 - 11*y**4 - y**4 - 32*y**2.
-2*y**2*(y - 4)**2
Suppose z - 3*a = 217 + 8, -3*z - 3*a = -663. Let n = z - 222. Suppose -2/5*m + 2/5*m**3 + n + 0*m**2 = 0. Calculate m.
-1, 0, 1
Let j(x) be the first derivative of x**4/42 + x**3/21 - 6*x**2/7 - 15*x - 182. Let q(t) be the first derivative of j(t). Suppose q(i) = 0. What is i?
-3, 2
Let u(k) = -31*k - 744. Let q be u(-24). Let a(x) be the third derivative of 20*x**2 + 0*x + q + 0*x**4 + 1/12*x**5 - 5/6*x**3. Factor a(t).
5*(t - 1)*(t + 1)
Let m = 6519535/7 - 931362. Factor -1/7*c**3 + 0 + 1/7*c**2 - m*c**4 + 1/7*c.
-c*(c - 1)*(c + 1)**2/7
Factor 20*g + 11*g**2 + 336*g**3 + 389*g**3 - 5*g**2 + 2*g**4 - 737*g**3.
2*g*(g - 5)*(g - 2)*(g + 1)
Factor -5*f**2 - 381*f + 246 + 460 + 161*f - 246.
-5*(f - 2)*(f + 46)
Let y(d) be the second derivative of 1/21*d**7 - 4/3*d**3 + 0 - 11/6*d**4 + 152*d - 1/15*d**6 - 9/10*d**5 + 0*d**2. Factor y(o).
2*o*(o - 4)*(o + 1)**3
Let s(m) be the first derivative of -14*m**5/5 - 1101*m**4/2 - 614*m**3/3 + 1101*m**2 + 628*m + 347. Solve s(c) = 0 for c.
-157, -1, -2/7, 1
Let 784*a**2 - 641*a**2 - 6*a**3 + a**3 + 1902*a**2 = 0. What is a?
0, 409
Let c(n) be the third derivative of n**9/48384 - n**8/5376 - n**5/15 - 7*n**3/6 - n**2 - 3*n. Let r(p) be the third derivative of c(p). Factor r(b).
5*b**2*(b - 3)/4
Let w(i) = -i**3 - 40*i**2 - 361*i + 8. Let j(k) = 3*k**3 + 121*k**2 + 1083*k - 28. Let r(t) = 10*j(t) + 35*w(t). Find q, given that r(q) = 0.
-19, 0
Let m(u) be the first derivative of -u**6/18 + u**5/5 - u**4/4 + u**3/9 + 4048. Factor m(d).
-d**2*(d - 1)**3/3
Let w(a) be the second derivative of a**6/15 - a**5/10 - 18*a**4 - 560*a**3/3 - 832*a**2 - 335*a. Factor w(m).
2*(m - 13)*(m + 4)**3
Let a = 184865 - 1293989/7. Determine t so that -24/7 - 9*t**2 - a*t - 3/7*t**4 - 24/7*t**3 = 0.
-4, -2, -1
Let o(y) = 43 + 0*y**2 + 2177*y - 19*y**2 - 2147*y - 13*y**3. Let j(k) = -4*k**3 - 6*k**2 + 10*k + 14. Let q(i) = -7*j(i) + 2*o(i). Factor q(d).
2*(d - 2)*(d + 1)*(d + 3)
Let j(q) be the second derivative of -8*q + 0*q**3 + 2 - 9/8*q**5 + 1/3*q**6 + 0*q**2 + 5/12*q**4. Factor j(h).
5*h**2*(h - 2)*(4*h - 1)/2
Let y(l) be the first derivative of l**4/3 - 34*l**3/3 + 60*l**2 + 37*l - 74. Let a(w) be the first derivative of y(w). Solve a(q) = 0 for q.
2, 15
Let c(y) be the second derivative of -y**6/10 - 3*y**5/10 + y**4 + y**3 - 9*y**2/2 - 220*y + 2. Let c(q) = 0. Calculate q.
-3, -1, 1
Let t(h) be the first derivative of -h**3/3 + h**2/2 + h + 12. Let j(w) = 4*w**3 + 20*w**2 + 4*w + 4. Let m(x) 