2 + 1/66*m**4. Factor x(f).
2*(f - 5)**2/11
Let c = 42 + -39. Suppose -h = 4*y - 2*y - c, 5*y = -5*h + 5. Factor 18*d**y + 6*d + 3*d**2 - 20*d**3 + 14*d**3 + 15*d**3.
3*d*(d + 2)*(3*d + 1)
Let n = -143 + 44. Let j = -102 - n. Let z(o) = o**2 - o. Let b(w) = -6*w**2 + 7*w - 1. Let p(x) = j*b(x) - 15*z(x). What is g in p(g) = 0?
1
Find p, given that 39*p**2 + 0 - 132*p - 3/2*p**3 = 0.
0, 4, 22
Let t be 54/(-10) + (-3)/5. Let l(s) = -6*s**2 - 7*s - 1. Let z(u) = -4*u + 3 - 2 + 3*u - 2. Let w(k) = t*z(k) - 2*l(k). Suppose w(x) = 0. What is x?
-1, -2/3
Let o(c) = 4*c**3 - 5*c**2 + 12*c - 6. Let q be (1/(-4))/(13 - 2865/220). Let n(x) = -9*x**3 + 9*x**2 - 22*x + 11. Let f(i) = q*o(i) + 6*n(i). Factor f(t).
-t**2*(10*t + 1)
Let c be 4/10*(55/(-10) - -7). Let v = 168/205 - 9/41. Factor -3/5 + c*j + v*j**2 - 3/5*j**3.
-3*(j - 1)**2*(j + 1)/5
Let z(o) = 2*o**3 - 12*o**2 + 14*o - 32. Let b be z(8). Let h be 2 + -8 + b/49. Determine r, given that h - 22/7*r - 8/7*r**2 = 0.
-3, 1/4
Let a(s) be the first derivative of 10/3*s**3 + 7/5*s**4 - 24/5*s - 4/5*s**2 - 44 - 6/25*s**5. Suppose a(r) = 0. What is r?
-1, 2/3, 6
Let c(m) = -59*m**2 - 1001*m + 37. Let d be c(-17). Suppose 12/5*h**2 + 6/5*h**4 + 3/5*h + 3*h**d + 0 = 0. What is h?
-1, -1/2, 0
Let j(o) = -o**3 + 9*o**2 + 3*o - 2. Let b be j(-8). Factor -522 + 132*q + 10*q**2 + b - 514.
2*(q + 13)*(5*q + 1)
Let m be (-14)/(-1)*(-8)/(-16). Suppose 0 = 5*o - 5*d, 3*d - 1 - m = -o. Factor -2/19 + 6/19*i**4 + 6/19*i - 4/19*i**o - 2/19*i**5 - 4/19*i**3.
-2*(i - 1)**4*(i + 1)/19
Let 563/2 + 1127/4*o + 1/4*o**2 = 0. Calculate o.
-1126, -1
Suppose 2*x - 8 = 2*b, x - 4 + 2 = 3*b. Factor -55*h**4 - 5*h**x - 31*h**3 - 76*h**2 - 194*h**2 + 405 + 135*h - 179*h**3.
-5*(h - 1)*(h + 3)**4
Suppose -1145*o = -1148*o - 375. Let z be (-396)/(-1925) + (-10)/o. Factor 0*x + z*x**2 + 0.
2*x**2/7
Let x = -9017 - -18079/2. Let q(l) be the first derivative of 40*l + 5/3*l**3 + x*l**2 + 16. Factor q(g).
5*(g + 1)*(g + 8)
Let o(z) be the first derivative of z**9/1512 + z**8/210 + z**7/84 + z**6/90 - 2*z**3/3 - 10*z - 113. Let n(y) be the third derivative of o(y). Factor n(w).
2*w**2*(w + 1)**2*(w + 2)
Let n(x) be the second derivative of -x**8/20160 + x**6/2160 + 47*x**4/12 - 88*x. Let p(j) be the third derivative of n(j). Suppose p(s) = 0. Calculate s.
-1, 0, 1
Solve -123*n - 467*n + 70*n + 516 + 4*n**2 = 0.
1, 129
Let n(q) = -q**3 - 26*q**2 - 24*q + 27. Let x be n(-25). Let 113*f - 6 - 53*f + x - 225*f**2 = 0. Calculate f.
2/15
Let s(b) = -3*b**2 + 22*b + 128. Let q be s(-4). Let m(x) = -3*x**3 - 25*x**2 - 11*x - 22. Let f be m(q). Factor -14/3*z - 8/3 + 17/3*z**f + 5/3*z**3.
(z - 1)*(z + 4)*(5*z + 2)/3
Let x(z) be the second derivative of -z**4/12 - 361*z**3/2 + 542*z**2 + 3477*z. Solve x(q) = 0 for q.
-1084, 1
Let q(z) be the third derivative of 0*z**5 + 0*z**4 + 0 + 2/7*z**7 - 5/336*z**8 + 13/24*z**6 + 0*z**3 + 0*z - 69*z**2. Factor q(g).
-5*g**3*(g - 13)*(g + 1)
Factor -155/4 - 9*h - 1/4*h**2.
-(h + 5)*(h + 31)/4
Let b = -1727 - -5182/3. Let g = -11/12 + 5/4. What is c in 1/3*c**2 + b*c**3 + 0*c - g*c**5 - 1/3*c**4 + 0 = 0?
-1, 0, 1
Let k(t) be the first derivative of -2*t**5/65 - 11*t**4/13 + 32*t**3/13 + 2229. Let k(r) = 0. What is r?
-24, 0, 2
Let v(o) be the second derivative of -3721*o**5/20 - 61*o**4/6 - o**3/6 - 401*o. Factor v(s).
-s*(61*s + 1)**2
Suppose 55*f = 42*f - 325. Let s(q) = -q**3 - 26*q**2 - 17*q + 200. Let b be s(f). Determine c, given that c**2 + 0*c + 4*c**4 + b - 3/2*c**5 - 7/2*c**3 = 0.
0, 2/3, 1
Let d(o) be the second derivative of -o**5/10 + o**4 + 12*o**3 + 40*o**2 + 10*o - 1. Suppose d(u) = 0. What is u?
-2, 10
Let c = 10535 + -31595/3. Factor -40/3 - c*i - 5/3*i**3 + 25/3*i**2.
-5*(i - 4)*(i - 2)*(i + 1)/3
Suppose 0 = -4*i + o + 24, 4*o = -i - 29 + 18. Factor 0 + f**2 - f**4 + 4/3*f - 5/3*f**3 + 1/3*f**i.
f*(f - 4)*(f - 1)*(f + 1)**2/3
Let j(l) be the second derivative of -l**6/120 + l**5/30 - l**4/24 - 71*l**2/2 + 3*l - 3. Let b(d) be the first derivative of j(d). Factor b(u).
-u*(u - 1)**2
Let f be (-654)/(-48) - 2 - ((-570)/80)/19. Factor -147/4*b - 9/2 - f*b**3 - 78*b**2.
-3*(b + 6)*(4*b + 1)**2/4
Factor -128*b + 3520/7 + 4/7*b**2.
4*(b - 220)*(b - 4)/7
Let y(x) be the first derivative of 1/5*x**3 + 9/5*x**2 - 87 - 24*x. Factor y(f).
3*(f - 4)*(f + 10)/5
Let p = 680 + -681. Let g be ((-1088)/408)/(p/(-2) - 1). Factor -4/3 - g*i - 7/3*i**2.
-(i + 2)*(7*i + 2)/3
Let j = 447 + -446. Let b(c) = -17*c + 21. Let h be b(j). Factor -4/7*n + 4/7*n**3 + 4/7*n**h + 8/7 - 12/7*n**2.
4*(n - 1)**2*(n + 1)*(n + 2)/7
Let j(a) = -21*a**3 - 28*a**2 - 157*a - 128. Let q(f) = -117*f**3 - 139*f**2 - 784*f - 641. Let k(s) = -11*j(s) + 2*q(s). Factor k(h).
-3*(h - 14)*(h + 1)*(h + 3)
Let w(z) be the third derivative of -26*z**7/35 + 58*z**6/15 - 38*z**5/5 + 6*z**4 + 2*z**3/3 - 4291*z**2. Let w(u) = 0. What is u?
-1/39, 1
Factor 20600*p**4 - 20597*p**4 - 72*p**3 - 6561 + 347*p**2 + 139*p**2.
3*(p - 9)**3*(p + 3)
Factor -1034 - 71*j**3 + 7491*j**2 - 4321*j - 13372 + 3*j**4 + 7822*j - 10116*j - 226*j**3.
3*(j - 49)**2*(j - 2)*(j + 1)
Let h = -265 + 269. Solve 0*c**3 - 3*c**h - 7*c**2 + 6*c**2 + 3*c**3 + c**5 = 0 for c.
0, 1
Solve 969*y - 39714*y**2 - 64*y + 935 + 0*y**3 + 19819*y**2 + 19860*y**2 - 5*y**3 = 0 for y.
-17, -1, 11
Let y(h) be the third derivative of 43*h**2 + 1/40*h**6 + 0*h**3 + 0*h**4 - 1/112*h**8 + 0 + 2*h - 1/70*h**7 + 1/20*h**5. Factor y(g).
-3*g**2*(g - 1)*(g + 1)**2
Factor -8*z**3 - 2*z**4 + 3*z**4 + 25673*z - 3*z**4 - 25593*z - 21*z**2 + 95*z**2.
-2*z*(z - 5)*(z + 1)*(z + 8)
Let b = -16635 + 33273/2. Let c(q) be the second derivative of -1/20*q**5 + 1/6*q**3 - b*q**2 - 3*q + 7/12*q**4 - 2/15*q**6 + 0. Factor c(n).
-(n - 1)*(n + 1)**2*(4*n - 3)
Let a be -57 + 38 + (-2)/2. Let w be (564/(-1175))/(6/a). Factor w + 2*n + 2/5*n**2.
2*(n + 1)*(n + 4)/5
Let d(x) be the first derivative of x**4/3 + 8*x**3 - 26*x**2 - 11*x + 41. Let m(k) be the first derivative of d(k). Let m(j) = 0. Calculate j.
-13, 1
Let m = -102 + 179. Let f = -69 + m. Let 6*g**2 - 5 - 3*g**3 + f*g - 5*g - 1 + 0*g = 0. What is g?
-1, 1, 2
Let j(o) be the first derivative of -4/5*o**5 + 88/3*o**3 - 84*o + 20*o**4 - 40*o**2 + 103. Factor j(f).
-4*(f - 21)*(f - 1)*(f + 1)**2
Let k = 8238 + -8234. Let m(u) be the second derivative of 1/8*u**3 + 0*u**2 + 1 - 1/80*u**5 - 4*u + 1/24*u**k. Factor m(n).
-n*(n - 3)*(n + 1)/4
Let j be 2948/(-165) + 2/(-15). Let v be 40/585*-3*j/24. Solve 0 - v*x - 2/13*x**2 = 0.
-1, 0
Let i(v) be the second derivative of -v**6/30 - 9*v**5/2 - 515*v**4/12 - 155*v**3 - 252*v**2 + 3*v - 3215. Determine w so that i(w) = 0.
-84, -3, -2, -1
Let p be (-6)/(-81) + 538/27. Suppose p = 3*n + 14. Suppose -26/3*c**3 + n*c**4 + 0 + 32/3*c**2 - 8/3*c = 0. Calculate c.
0, 1/3, 2
Suppose -7*v - 110 = -12*v. Suppose v - 119 = -5*d - 3*y, -2*d + 46 = 3*y. Find t such that -33*t**4 + 64*t**3 - d*t**4 - 104*t**3 - 8*t**2 = 0.
-2/5, 0
Let d(g) be the third derivative of -g**5/90 + 2*g**4/9 + 57*g**3 - 324*g**2 - 1. Determine h so that d(h) = 0.
-19, 27
Let 36/7*y - 12/7*y**2 + 1/7*y**3 - 32/7 = 0. What is y?
2, 8
Let a be (-1441)/1310 - 6/(-5). Let g(t) be the second derivative of -7/2*t**4 - a*t**5 + 11*t - 49*t**3 + 0 - 343*t**2. Suppose g(n) = 0. Calculate n.
-7
Suppose -36 = -9*w - 0. Let k be 0 - ((0 - -1) + -7). Solve -6*z - 2*z**3 - k*z - w - 4 - 10*z**2 - 4*z = 0 for z.
-2, -1
Let l(y) be the third derivative of -1/60*y**6 - 1/20*y**5 - 1/630*y**7 + 0*y + 2/3*y**3 - 49*y**2 + 0 + 1/18*y**4. Solve l(g) = 0.
-3, -2, 1
Let g be (6/24)/(1/404). Factor -12 + 4*v**2 - 4*v**4 - 31 - 5 + g*v**3 + 68*v - 121*v**3.
-4*(v - 1)**2*(v + 3)*(v + 4)
Let x(n) be the third derivative of -53 - 3*n**4 - 4*n**2 + 0*n**3 - 1/240*n**6 + 0*n - 1/5*n**5. Solve x(z) = 0.
-12, 0
Suppose 1500 = 677*q + 73*q. Determine r so that -3/2*r**q - 8/3 + 4*r + 1/6*r**3 = 0.
1, 4
Let l be (6*(0 - -3))/(6/15). Suppose 0 = -6*i + l + 3. Let -19*v**4 - i*v**4 + 6*v**5 + 4*v**3 + 13*v**4 = 0. Calculate v.
0, 1/3, 2
Determine i so that 18400*i - 71*i**4 + 104*i**3 - 41*i**4 + 2421*i**2 + 108*i**4 + 1375*i**2 - 516*i**2 = 0.
-10, 0, 46
Factor -3/2*c**3 + 7/4*c**2 + 0*c + 0 - 1/4*c**4.
-c**2*(c - 1)*(c + 7)/4
Let c(o) = -o**3 - o**2 + 2*o + 3. Let u be c(-2). Factor 69*