u) be the third derivative of u**5/15 - 15*u**4/2 + 328*u**3/3 + 2*u**2 + 140*u. Factor i(o).
4*(o - 41)*(o - 4)
Let a be ((-573)/(-191))/(((-2)/6)/(((-4)/20)/1)). Determine i, given that -a*i + 3/5*i**4 - 3*i**2 - 3/5*i**3 + 0 = 0.
-1, 0, 3
Let z be (-4)/(-2)*(-4)/(32/(-12)). Determine c so that 50*c**2 - 11*c**z + 30*c**4 - 20*c**3 - 5*c**5 - 29*c**3 - 15*c = 0.
0, 1, 3
Let k(i) = -i**4 + 2*i**3 + i - 1. Let h(u) = 5*u**4 - 60*u**3 - 30*u**2 + 30*u + 45. Let c(v) = h(v) + 10*k(v). Factor c(w).
-5*(w - 1)*(w + 1)**2*(w + 7)
Suppose 5*o - j = -4, -2*j = -8*o + 11*o + 5. Let c be (o + (-37)/(-38))*-4. Determine f, given that -2/19 + 0*f + 4/19*f**2 - c*f**4 + 0*f**3 = 0.
-1, 1
Let j be (-4)/((-96)/(-486))*1/(-3). Let c = 11/12 + -2/3. What is p in c*p**5 + 27/2*p**2 + j*p + 5/2*p**4 + 0 + 9*p**3 = 0?
-3, -1, 0
Let q(m) = 20260*m + 182340. Let l be q(-9). Solve -14/3*r + l + 5*r**2 - 1/3*r**3 = 0 for r.
0, 1, 14
Suppose 0 = -5*l - 4 + 24. Suppose -w - 3*i = -2, l*w - 3 = 4*i + 5. Find b, given that 12*b**2 - 3*b - 3*b - 6*b**2 + 4 - 2*b**3 - w = 0.
1
Let d(l) = -155*l**2 + 455*l + 460. Let k(x) = 37*x**2 - 114*x - 115. Let f(h) = -6*d(h) - 25*k(h). Factor f(i).
5*(i + 1)*(i + 23)
Factor 1/4*q**2 + 1/4*q - 1/4*q**3 - 1/4.
-(q - 1)**2*(q + 1)/4
Let u = -253 + 251. Let k be (5/u)/(25/(-20)). Find r such that -8/3*r**k - 56/3*r**4 - 20/3*r**5 + 0 - 16*r**3 + 4/3*r = 0.
-1, 0, 1/5
Let -272/3 + 1/3*f**3 + 92*f - 24*f**2 = 0. Calculate f.
2, 68
Let j = -2/8279 + 8287/33116. Let k(o) be the second derivative of -5/2*o**2 - 6*o - j*o**5 + 5/6*o**3 + 5/12*o**4 + 0. Factor k(a).
-5*(a - 1)**2*(a + 1)
Factor 88 + 16*n**3 - 70*n**2 - 52304*n + 26151*n + 26155*n.
2*(n - 4)*(n + 1)*(8*n - 11)
Let p(w) = -33*w**4 - 6*w**3 - 384*w**2 - 24*w. Let u(q) = 7*q**4 + q**3 + 77*q**2 + 5*q. Let y(n) = -5*p(n) - 24*u(n). Factor y(d).
-3*d**2*(d - 6)*(d + 4)
Suppose 48/5 + 66/5*r + 3*r**2 - 3/5*r**3 = 0. Calculate r.
-2, -1, 8
Let j(u) be the first derivative of -3/2*u**4 + 0*u**2 - 7/120*u**6 - 28/3*u**3 + 11/10*u**5 + 0*u - 27. Let v(a) be the third derivative of j(a). Factor v(k).
-3*(k - 6)*(7*k - 2)
Let b(p) be the first derivative of 8/3*p**3 + 36/5*p**5 + 19*p**4 + 0*p**2 + 67 + 0*p. Let b(s) = 0. Calculate s.
-2, -1/9, 0
Let z = -501 + 503. Factor 6 + 33*g**z - 2*g**3 + 138 - 120*g - g**3.
-3*(g - 4)**2*(g - 3)
Let z = 45364/7 - 6452. Let l(s) be the first derivative of -2*s**3 - 120/7*s**2 - 1/14*s**4 - 1 - z*s. Factor l(h).
-2*(h + 1)*(h + 10)**2/7
Let b(z) = -11*z**4 - 21*z**3 - 30*z**2 - 10*z + 10. Let k(w) = 23*w**4 + 43*w**3 + 62*w**2 + 21*w - 21. Let s(f) = -21*b(f) - 10*k(f). Factor s(r).
r**2*(r + 1)*(r + 10)
Suppose -18*p - 8*p - 6*p = -0*p. Solve -4/11*v**3 + p*v + 0 - 6/11*v**4 - 2/11*v**5 + 0*v**2 = 0 for v.
-2, -1, 0
Let q(x) be the first derivative of -x**4/14 + 166*x**3/21 - 1056*x**2/7 - 59904*x/7 + 5965. Determine t so that q(t) = 0.
-13, 48
Let r(k) = 50*k**2 + 126*k - 70. Let z be r(-3). Let 2/5*y**5 + 74/5*y**3 - 128/5*y**z - 152/5*y + 44/5*y**4 + 32 = 0. What is y?
-20, -2, 1
Let q be (-826)/(-196) + (-27 - (-1519)/62). Factor 24/7*m**2 - 16*m + 96/7 - 4/7*m**4 + q*m**3.
-4*(m - 2)**3*(m + 3)/7
Let y(n) = 5*n**4 + 15*n**3 - 10*n**2 - 20*n - 5. Let j(m) = 3*m**4 + 8*m**3 - 5*m**2 - 10*m - 2. Let f = 73 - 75. Let i(k) = f*y(k) + 5*j(k). Solve i(r) = 0.
-2, -1, 0, 1
Suppose 8*j + 3*j = 16*j. Suppose -2*v + 6 = 2*m, -4*v - 3*m - 88 + 99 = j. Let 40/13*u + 2/13*u**v + 200/13 = 0. Calculate u.
-10
Suppose -94974*g - 25*g**4 - 165*g**3 - 42*g**2 + 95454*g - 160 - 88*g**2 = 0. Calculate g.
-4, 2/5, 1
Factor 254968*y - 7617*y**2 + 4*y**3 + 445366*y + 2554487*y + 372299*y - 906304.
(y - 952)**2*(4*y - 1)
Let y(k) be the second derivative of 0*k**2 - 8/3*k**4 + 0 - 1/360*k**6 - 2/15*k**5 - 7/2*k**3 + 14*k. Let f(a) be the second derivative of y(a). Factor f(n).
-(n + 8)**2
Let z(c) = -3*c**2 - c - 1. Let v(h) = 16*h**2 + 18*h + 150. Let b(y) = v(y) + 6*z(y). Suppose b(r) = 0. Calculate r.
-6, 12
Let i(v) be the second derivative of v**5/5 + 5*v**4/3 - 26*v**3/3 + 14*v**2 + 238*v + 2. Let i(a) = 0. What is a?
-7, 1
Let s be ((-332)/(-10))/(43/645). Factor 249*i**2 - 150*i - s*i**2 + 361*i**2 + 98*i**3 + 36.
2*(i + 2)*(7*i - 3)**2
Let b(p) be the third derivative of -p**5/100 + 6*p**4/5 - 27*p**3/2 + 36*p**2 + 11. Factor b(m).
-3*(m - 45)*(m - 3)/5
Let h(v) be the third derivative of -1 + 0*v - 1/2*v**3 + 1/10*v**5 - 1/70*v**7 + 0*v**6 + 159*v**2 + 0*v**4. Determine a, given that h(a) = 0.
-1, 1
Let n(z) be the second derivative of -z**4/30 - 272*z**3/15 - 271*z**2/5 - 98*z + 32. Solve n(b) = 0 for b.
-271, -1
Let p(u) be the second derivative of -u**5/15 - 20*u**4/9 - 224*u**3/9 - 128*u**2 - 2707*u + 2. Find f such that p(f) = 0.
-12, -4
Suppose 2*w + 276 - 51 = 11*w. Let i(n) be the first derivative of -n**3 + 3*n - 3/2*n**2 + 3/4*n**4 - w. Solve i(r) = 0.
-1, 1
Let d(x) be the third derivative of -x**6/360 + 3*x**5/20 - 17*x**4/24 + 85*x**3/6 - x**2 - 22*x. Let p(r) be the first derivative of d(r). Factor p(f).
-(f - 17)*(f - 1)
Let v be ((-42)/90)/(28*2/(-24)). Suppose 0 + v*q**2 + 6/5*q = 0. What is q?
-6, 0
Suppose -4*d + 2*l + 8 = -2*d, -d = l. Let v(f) = f. Let s be v(2). Determine a so that -a - a**s - a + 3*a + d = 0.
-1, 2
Let y(h) be the first derivative of -h**5/5 - h**4/4 + 10*h**3/3 + 2*h**2 - 24*h - 1213. Determine b so that y(b) = 0.
-3, -2, 2
Suppose -7*u**2 + 4 + 2/3*u**5 - 22/3*u**3 + 20/3*u + 3*u**4 = 0. What is u?
-6, -1, -1/2, 1, 2
Let p(n) = -n**5 - n**4 + n**3 + 3*n**2 + 2*n + 1. Let d(r) = -4*r**5 - 153*r**4 - 5622*r**3 + 9*r**2 + 6*r + 3. Let l(c) = -5*d(c) + 15*p(c). Factor l(j).
5*j**3*(j + 75)**2
Let g(w) be the third derivative of -1/390*w**5 + 28 + 0*w + 2*w**2 - 79/78*w**4 - 6241/39*w**3. Factor g(u).
-2*(u + 79)**2/13
Let l(w) be the second derivative of -w**4/4 - 159*w**3/2 + 240*w**2 - 79*w + 2. Solve l(t) = 0 for t.
-160, 1
Let z(s) be the first derivative of -s**3/9 - 517*s**2/6 + 518*s/3 + 2889. Let z(g) = 0. What is g?
-518, 1
Let d be 212/16 - (-275)/(-25). Let f be 19/4 - (4 + 0). Determine c so that -f*c**5 + 0 + d*c**4 + 3/4*c**2 + 0*c - 9/4*c**3 = 0.
0, 1
Let w(m) be the second derivative of m**5/10 - 31*m**4/12 - 17*m**3/6 + 8*m**2 - 738*m. What is g in w(g) = 0?
-1, 1/2, 16
Let k(z) be the second derivative of -1352*z**6/15 + 41613*z**5/5 - 4252*z**4 + 1960*z**3/3 - 3965*z. Factor k(n).
-4*n*(4*n - 245)*(13*n - 2)**2
Let x be (-1 - -34) + (36 - 34). Factor 6 + 165*f - 240*f**2 + 34*f**2 + x*f**2.
-3*(f - 1)*(57*f + 2)
Suppose -321*p = -297 - 348 + 3. Let v(x) be the first derivative of 1/2*x**4 - p*x**2 - 2/3*x**3 + 0*x + 33. Factor v(q).
2*q*(q - 2)*(q + 1)
Let u be 75/(-9)*6/(-4). Suppose 0 = 5*i - f, 6*f - 18*f = i - 10*f. Suppose -10*x**2 - u*x**4 - 80/3*x**3 + 0 + 15/2*x**5 + i*x = 0. What is x?
-2/3, 0, 3
Let n(y) be the second derivative of -y**5 + 26*y**4 + 78*y**3 + 68*y**2 + 3512*y. What is p in n(p) = 0?
-1, -2/5, 17
Let d(v) = -7*v - 52. Let x be d(-8). Let 333*s - 284*s + 63*s**2 - 1 + 15*s**3 + 1 + s**x = 0. What is s?
-7, -1, 0
Let b(u) be the first derivative of 3*u**5/5 + 435*u**4/4 - 147*u**3 - 435*u**2/2 + 438*u + 2312. Solve b(f) = 0.
-146, -1, 1
Suppose s = 3*s - f - 1646, -4*s - 5*f + 3306 = 0. Let y = s + -821. Let 32/3*a**5 - 218/3*a**2 + 62/3*a - 2 + 102*a**y - 176/3*a**4 = 0. Calculate a.
1/4, 1, 3
Let w = 262253 + -262173. Factor 1/4*c**3 + w*c - 128 - 17/2*c**2.
(c - 16)**2*(c - 2)/4
Solve 2/19*j**4 + 1690/19*j + 78/19*j**2 - 42/19*j**3 + 0 = 0 for j.
-5, 0, 13
Factor -44/9*a**2 - 880/9 - 4/9*a**3 + 928/9*a.
-4*(a - 10)*(a - 1)*(a + 22)/9
Factor -31/4*z**3 + 46*z**2 + 72 - 99*z + 1/4*z**4.
(z - 24)*(z - 3)*(z - 2)**2/4
Let m be (-50)/(-558)*-3 + 4/(-6). Let k = -21/155 - m. Suppose 2/5*u - 2/5*u**2 + k = 0. Calculate u.
-1, 2
What is f in 26 - 48297*f - 10 + 48205*f + 22*f**2 = 0?
2/11, 4
Let k(q) be the third derivative of -q**5/20 + 59*q**4/4 + 119*q**3/2 - 1188*q**2. Find t, given that k(t) = 0.
-1, 119
Let m be (-6)/((-13 - -6) + 10). Let q be 72/(-240)*(m + 2 - 5). Solve -q*y + 15/2*y**2 - 3*y**3 - 3 = 0 for y.
-1/2, 1, 2
Let h(o) = -o**3 - 40*o**2 + 41*o + 2. Let w be h(-41). What is x in 9*x**2 - 90 - 31*x**w + 1442*x + 2*x**3 - 1364*x = 0?
3, 5
Let g(h) be the first de