/26 + 67/13 - 3. Factor -3/5*a**5 + 3/5*a + 0*a**3 + 6/5*a**d + 0 - 6/5*a**4.
-3*a*(a - 1)*(a + 1)**3/5
Let x(j) = 3*j**4 + j**3 + j - 1. Let t(n) = -11*n**4 - 34*n**3 - 4*n**2 + 2*n - 2. Suppose -23*w = 101 - 78. Let a(z) = w*t(z) + 2*x(z). Factor a(l).
l**2*(l + 2)*(17*l + 2)
Factor 130*b**2 - 42938 - 608*b + 85791 - 2*b**3 - 42373.
-2*(b - 60)*(b - 4)*(b - 1)
Let z = 166875 - 1835617/11. Factor 10/11*p - 2/11*p**2 - z.
-2*(p - 4)*(p - 1)/11
Solve 0*x + 0 + 24/5*x**3 - 3/5*x**5 - 36/5*x**2 + 3/5*x**4 = 0.
-3, 0, 2
Let m(v) be the second derivative of -v**4/32 + 7*v**3/16 + 33*v**2/4 + 131*v. What is f in m(f) = 0?
-4, 11
Let m = 37/227 + 153/454. Let r(d) be the first derivative of m*d**3 - 3/10*d**5 - 27/16*d**4 + 0*d**2 + 0*d + 9/8*d**6 + 10. Suppose r(n) = 0. What is n?
-1, 0, 2/9, 1
Suppose -2*p = 4*n - 24, 0 = 4*p + 4*n - 29 - 3. Let v(b) be the first derivative of -10/3*b**2 + 0*b - 18 + 16/9*b**3 + 1/3*b**p. Let v(w) = 0. Calculate w.
-5, 0, 1
Let h(o) be the third derivative of -o**6/180 + o**5/3 - 25*o**4/3 + 27*o**3 - 26*o**2 + 5. Let b(k) be the first derivative of h(k). Factor b(q).
-2*(q - 10)**2
Let w(v) = 2*v**2 - v - 2. Let y(a) = 11*a**2 - 77*a - 158. Let o(l) = 15*w(l) - 3*y(l). Suppose o(u) = 0. Calculate u.
-2, 74
Let x be -257*8/(-6608) - 2/7. Let s = x - -5643/826. Factor -8/7*w**2 + s*w + 36/7 + 4/7*w**4 - 16/7*w**3.
4*(w - 3)**2*(w + 1)**2/7
Let g(l) be the third derivative of 30*l**3 + 1/12*l**5 + 0*l + 5*l**2 - 2 + 25/6*l**4. Factor g(w).
5*(w + 2)*(w + 18)
Let k(q) = 72*q - 576. Let b be k(8). Let w(f) be the third derivative of b + 0*f**3 + 0*f**4 + 1/270*f**5 + 0*f - 11*f**2. Suppose w(h) = 0. Calculate h.
0
Let g(b) = -21*b + 113. Let p = -1923 - -1928. Let q be g(p). Factor q*s**2 - 4*s - 40/7 + 12/7*s**3.
4*(s - 1)*(s + 5)*(3*s + 2)/7
Let b(u) = -7*u**4 - 12*u**3 - 397*u**2 + 1844*u - 1337. Let f(o) = -o**4 - 2*o**3 - 66*o**2 + 306*o - 223. Let n(z) = -6*b(z) + 39*f(z). Factor n(x).
3*(x - 5)**2*(x - 1)*(x + 9)
Let v(y) = y**2 - 3*y + 3. Suppose 4*c = -3*c + 21. Let g be v(c). Factor g*f**3 - 10*f**3 - 11 - 17*f + 18 + 17*f**2 + f**4 - 1.
(f - 3)*(f - 2)*(f - 1)**2
Let t(u) be the third derivative of -22*u**2 + 0*u - 1/160*u**5 + 1/8*u**3 - 1/64*u**4 + 0. Let t(d) = 0. What is d?
-2, 1
Let n(w) = w**2 - 1163*w - 7535. Let z(l) = l**2 - 1628*l - 10550. Let d(b) = 18*n(b) - 13*z(b). Find g, given that d(g) = 0.
-38, -8
Suppose 2*w + k + 10 = 0, 17*w - 48 = k + 38. Factor 3/2 + 15/2*b**2 + 0*b**w - 45/8*b + 3/8*b**5 - 15/4*b**3.
3*(b - 1)**4*(b + 4)/8
Let w(f) be the third derivative of -f**6/900 - f**5/50 - f**4/12 + 7*f**3/3 + 171*f**2. Let o(i) be the first derivative of w(i). Factor o(x).
-2*(x + 1)*(x + 5)/5
Factor 1704430 - 674*o - 84*o**2 + 86*o**2 - 159148 - 2842*o.
2*(o - 879)**2
Let c be 2 - (2445/(-345) - 45/(-5)). Factor -c*y**2 - 4/23*y**3 - 2/23*y**4 + 0*y + 0.
-2*y**2*(y + 1)**2/23
Let v = 15497/10322 + -7/5161. Solve 3/4*w**2 + v*w + 0 = 0 for w.
-2, 0
Let f be (530/(-45))/(-53) - 800/(-126). Factor -20/7*n**2 - 2/7*n**3 + f*n - 24/7.
-2*(n - 1)**2*(n + 12)/7
Suppose 12 - 6 = -3*q + 3*o, 4*o - 22 = -3*q. Factor -76*r - 5625 - r**q - 75*r - 3*r + 4*r.
-(r + 75)**2
Let b(a) be the first derivative of 1/30*a**5 - 12*a + 7/3*a**2 - 13/9*a**3 + 5/18*a**4 - 25. Let r(w) be the first derivative of b(w). Factor r(y).
2*(y - 1)**2*(y + 7)/3
Let i(u) be the second derivative of u**8/3360 - u**7/280 + u**6/180 + u**4/6 - 13*u**2/2 - 82*u. Let f(v) be the third derivative of i(v). Factor f(n).
n*(n - 4)*(2*n - 1)
Let j = -4132/7 - -592. Let l(v) = -v**3 + 34*v**2 - 280*v - 73. Let t be l(15). Factor 9/7 - j*s + 3/7*s**t.
3*(s - 3)*(s - 1)/7
Let q(l) be the second derivative of 0 + 4/5*l**4 - 237*l + 13/10*l**3 - 9/5*l**2 - 9/100*l**5. Find b, given that q(b) = 0.
-1, 1/3, 6
Let 2768*t - 48*t**2 - 11*t**3 + 3776 - 11*t**4 + 15*t**4 - 135*t**3 - 107*t**3 + 17*t**3 = 0. Calculate t.
-2, 4, 59
Let z = -796 + 799. Suppose 4*d - z - 1 = 5*s, -5*s + 2*d - 2 = 0. Let -16/3*a**2 + s + 0*a - 20*a**4 + 64/3*a**3 = 0. Calculate a.
0, 2/5, 2/3
Let i(n) be the second derivative of 1/10*n**6 + 4*n + 0*n**2 + 30 + 63/20*n**5 + 30*n**4 + 50*n**3. Determine u, given that i(u) = 0.
-10, -1, 0
Let c(s) = -s**5 - 3*s**4 - s**3 + s**2 - 1. Let l(b) = -b**5 - 81*b**4 + 285*b**3 - 207*b**2 - 288*b + 282. Let f(m) = -4*c(m) + 2*l(m). What is h in f(h) = 0?
-1, 1, 2, 71
Suppose -3*q = -6*q + 66. Suppose 3*u = 3*h - 21, q = 2*h - 3*u - u. Let -3 - z**2 + 4 + z + 295*z**3 - 296*z**h = 0. What is z?
-1, 1
Solve -10/3*y**2 - 6208*y - 7448/3 = 0.
-1862, -2/5
Let b(k) = 53*k**2 - 7*k + 23. Let n be b(-9). Determine l, given that 4445*l - 4*l**2 + l**2 - 63 - n*l = 0.
1, 21
Suppose 287*l - 306*l = 0. Let q(v) be the second derivative of l - 5*v**2 - 10/3*v**4 - 35/6*v**3 + 20*v - 3/4*v**5. What is d in q(d) = 0?
-1, -2/3
Let r(n) be the second derivative of n**6/15 + n**5 - n**4/2 - 32*n**3/3 - 20*n**2 - 497*n - 2. Factor r(w).
2*(w - 2)*(w + 1)**2*(w + 10)
Let s(a) be the first derivative of -1/3*a**2 + 2/3*a**4 + 90 + 0*a - 1/3*a**5 - 1/9*a**3. Suppose s(r) = 0. What is r?
-2/5, 0, 1
Let r(g) be the third derivative of 0*g + 36*g**2 + 0*g**3 + 17/150*g**5 - 1/30*g**4 - 2/75*g**6 + 0. Find x, given that r(x) = 0.
0, 1/8, 2
Let k be (-6 + -12 - 0)*(-505)/(-20). Let r = -453 - k. Suppose r*u**2 - u + 0 = 0. Calculate u.
0, 2/3
Let h(r) = r**3 - 16*r**2 + 55*r + 2. Let v be (11/6)/(7/42). Let k be h(v). Find m such that 2/3*m - m**k + 1/3*m**3 + 0 = 0.
0, 1, 2
Factor -5/2*y**2 - 17/2*y + 105.
-(y - 5)*(5*y + 42)/2
Suppose 22*l**2 + 76*l - 6*l**5 + 38*l**2 - 394 + 30*l**2 - 58*l**4 - 70*l**3 + 362 = 0. What is l?
-8, -2, -1, 1/3, 1
Let i be ((-184)/(-2392))/((-6)/(-30) - 3/(-10)). Solve -i*r**2 + 100/13*r - 1250/13 = 0.
25
Let l(h) be the second derivative of -h**5/30 + 925*h**4/9 + 2604*h. Determine f so that l(f) = 0.
0, 1850
Factor 2/5*o**2 - 146/5*o - 148/5.
2*(o - 74)*(o + 1)/5
Let d be (20/35 + ((-4)/21)/(-2))*2. Let b(r) be the first derivative of 0*r - 4*r**2 - 17 + d*r**3. Solve b(s) = 0.
0, 2
Find t such that -177/4*t**2 + 0 + 0*t + 45*t**3 - 3/4*t**4 = 0.
0, 1, 59
Suppose -71*t**2 - 105*t**2 - 60*t**2 - 66*t + 176*t**2 + 2*t**3 + 124 = 0. Calculate t.
-2, 1, 31
Let d(f) be the third derivative of 11*f**5/150 - 611*f**4/60 + 22*f**3 + 6408*f**2. Let d(m) = 0. What is m?
6/11, 55
Let p be ((-4300)/(-6))/(86/129). Factor 3 - 1075*u - 3*u**2 + p*u.
-3*(u - 1)*(u + 1)
Find i, given that -2*i**5 - 314*i**3 - 48 - 298*i - 43*i**4 - 39*i**4 + 14*i**5 - 24 + 89*i**2 + 665*i**2 = 0.
-4, -1/6, 1, 9
Let t(b) = -16*b**3 + 37*b**2 + 45*b + 14. Let f(j) = 3*j**3 - 7*j**2 - 9*j - 3. Let r = -188 - -177. Let w(p) = r*f(p) - 2*t(p). Factor w(v).
-(v - 5)*(v + 1)**2
Let y(x) be the third derivative of x**5/12 + 115*x**4/6 - 320*x**3 - 2*x**2 + 401*x - 2. Solve y(w) = 0 for w.
-96, 4
Let p(m) be the first derivative of 8*m**2 + 8/5*m**5 - 32/3*m**3 - 2/3*m**6 - 30 + 0*m + 3*m**4. Let p(o) = 0. What is o?
-2, 0, 1, 2
Let i(c) be the first derivative of 2*c**5/65 - 7*c**4/26 - 134*c**3/13 - 513*c**2/13 + 1292. Suppose i(o) = 0. Calculate o.
-9, -3, 0, 19
Let i be (0/(67 + -71))/(1 + -6 + 0). Let s(a) be the first derivative of -11 + 2/39*a**3 + i*a**2 + 0*a. Factor s(w).
2*w**2/13
Let w(p) be the third derivative of -p**7/420 + p**6/60 + 19*p**5/120 + 7*p**4/24 + p**2 + 365*p + 1. Find g such that w(g) = 0.
-2, -1, 0, 7
Let b be -14 - 5 - -28 - (-104)/(-16). Find w such that b*w**5 + 5/2*w + 0*w**4 + 0*w**2 - 5*w**3 + 0 = 0.
-1, 0, 1
Let p be -1 + 9 + (-81)/9. Let d(t) = -2*t**4 - t**3 - t**2 + 2*t. Let f(y) = -15*y**4 - 40*y**3 - 80*y**2 - 35*y. Let x(m) = p*f(m) + 5*d(m). Factor x(v).
5*v*(v + 1)*(v + 3)**2
Let s = 464 - 471. Let n(y) = y**2 + 17*y + 70. Let z be n(s). Factor 1/6*f**2 + z + 1/3*f - 1/3*f**3 - 1/6*f**4.
-f*(f - 1)*(f + 1)*(f + 2)/6
Let g = 4574/389 + 73709/778. Factor -g*s**2 - 1 + 215/2*s.
-(s - 1)*(213*s - 2)/2
Determine r, given that -2/3*r**2 + 26*r - 72 = 0.
3, 36
What is t in 5248/9 + 1576/9*t**2 + 576*t - 2/9*t**4 + 16*t**3 = 0?
-4, -2, 82
Let j(f) be the third derivative of f**6/780 - 223*f**5/65 + 49729*f**4/13 - 88716536*f**3/39 - 202*f**2. Determine t so that j(t) = 0.
446
Factor 389*o**3 - 252*o - 784*o**3 - 4*o**4 - 117