 - 46/11*o**2.
2*(o - 8)*(o + 2)*(3*o - 5)/11
Let m(p) = -3. Let j(w) = w**2 - 68*w + 1147. Let z(n) = -2*j(n) + 6*m(n). Suppose z(y) = 0. What is y?
34
Let r(k) be the first derivative of 11 + 0*k**2 - 1/18*k**3 + 2/3*k. Factor r(p).
-(p - 2)*(p + 2)/6
Let x(j) = j**3 + 30*j**2 - 37*j - 30. Let i be x(-31). Factor 6*f**2 - i*f**3 - 3*f + 312*f**3 - 159*f**3.
-3*f*(f - 1)**2
Let s = 15226/11 - 1384. Find y such that 0*y - s*y**3 + 4/11*y**2 + 0 = 0.
0, 2
Let t = -4 - -7. Solve -5*m**3 + 4*m**3 + 3*m**2 - m**2 - m**t = 0.
0, 1
Let p be (39/(-4))/39*-2. Suppose -11*w**3 - p*w**4 - 84*w**2 - 343/2 - 245*w = 0. Calculate w.
-7, -1
Let d(h) be the second derivative of 3*h**5/40 - 177*h**4/8 + 10443*h**3/4 - 616137*h**2/4 + 2*h + 31. Factor d(a).
3*(a - 59)**3/2
Let g = -99 + 115. Let q(i) = i - 16. Let p be q(g). Factor -2/5*n**3 + 0*n**2 + 0*n + 1/5*n**4 + p.
n**3*(n - 2)/5
Suppose 10*c = -47 + 167. Let 6 - 3*p**4 - c*p**3 - 19*p - p + 24*p**2 + 5*p**4 = 0. Calculate p.
1, 3
Let t(p) = p**3 - p**2. Let q(k) be the first derivative of -k**4/4 - 3*k**3 + 7*k**2 - 4*k + 10. Let d(s) = -q(s) - 5*t(s). Factor d(h).
-2*(h - 2)*(h - 1)*(2*h - 1)
Let c = -170/23 + 35576/4807. Let v = c - -826/1045. Factor -6/5*q + 0*q**2 - v + 2/5*q**3.
2*(q - 2)*(q + 1)**2/5
Let s(g) be the first derivative of -2/3*g**2 + 29 - 1/18*g**3 + 0*g. Factor s(o).
-o*(o + 8)/6
Let u = -23823/5 - -4765. What is n in 14/5*n**4 - u*n**2 - 12/5 + 46/5*n**3 - 46/5*n = 0?
-3, -1, -2/7, 1
Let d = 7 + 4. Let f = 8 + -6. Factor 2*g**2 + 15*g + f - 22*g + d*g.
2*(g + 1)**2
Let c(k) be the third derivative of -k**9/1512 + k**8/840 - 10*k**3/3 + k**2. Let h(s) be the first derivative of c(s). Let h(i) = 0. Calculate i.
0, 1
Let k(q) = 4*q + 19. Let c be k(-4). Suppose -14*g**2 - 5*g + c*g**3 - 5*g**3 - 6*g - g = 0. What is g?
-6, -1, 0
Let o = 3915/27419 + 2/27419. Solve -o*q**2 - 2/7*q - 1/7 = 0 for q.
-1
Suppose 12*w - 9*w - 4*l + 4 = 0, -2*l + 20 = 3*w. Find v such that -2/5*v**w + 2/5*v**2 + 0*v + 0 + 0*v**3 = 0.
-1, 0, 1
Let c(u) = -19*u**4 + 5*u**3 + 10*u**2 - 4*u - 8. Let i(n) = -96*n**4 + 24*n**3 + 51*n**2 - 21*n - 42. Let w(k) = -21*c(k) + 4*i(k). Solve w(y) = 0 for y.
-2/5, 0, 1
Let h(p) be the third derivative of 5*p**8/336 - p**7/21 - p**6/6 + p**5/6 + 5*p**4/8 + 36*p**2. Factor h(m).
5*m*(m - 3)*(m - 1)*(m + 1)**2
Let d(x) = -12*x**3 - 6*x**2 + 9*x + 9. Let a(r) = -r**4 - 11*r**3 - 5*r**2 + 9*r + 8. Let h(i) = -3*a(i) + 2*d(i). Solve h(v) = 0 for v.
-2, -1, 1
Let v(d) be the second derivative of -d**4/48 - 11*d**3/24 + 250*d. Factor v(b).
-b*(b + 11)/4
Let f(o) be the first derivative of 3*o**5/5 + 27*o**4/4 + 20*o**3 + 18*o**2 + 110. Factor f(i).
3*i*(i + 1)*(i + 2)*(i + 6)
Let a be 196/(-16) + 3/12. Let s = 33 + a. Determine w so that 20*w**3 - s*w**3 + 5 - 3 + 3*w + 0*w = 0.
-1, 2
Let f(h) be the third derivative of -h**5/360 - 13*h**4/144 + 7*h**3/18 - 3*h**2 + 30*h. Suppose f(k) = 0. What is k?
-14, 1
Let y(k) be the third derivative of -3/350*k**7 + 0*k**3 - 11*k**2 + 0*k - 1/40*k**4 + 0 - 1/20*k**5 - 7/200*k**6. Factor y(z).
-3*z*(z + 1)**2*(3*z + 1)/5
Suppose -3*o - 4*u + 14 = 0, 2*u - 10 = -3*u. Solve -5/3*l**4 - 2/3*l + l**5 + 0 + 5/3*l**o - 1/3*l**3 = 0 for l.
-1, 0, 2/3, 1
Let d(z) be the third derivative of 0 + 0*z - 4/3*z**3 - 1/10*z**6 - 1/105*z**7 - z**4 - 13/30*z**5 + 13*z**2. Factor d(k).
-2*(k + 1)**2*(k + 2)**2
Suppose -4*r = -8, -2*w - 3*r - r + 18 = 0. Factor 752*l**3 - l**2 + 4*l**w - 7*l**2 - 764*l**3.
4*l**2*(l - 2)*(l + 1)**2
Suppose -3*s + 4*s = -31. Let g = s + 36. Suppose 0*m + 3*m**2 - 9/4*m**4 + 27/4*m**g - 6*m**3 + 0 = 0. What is m?
-1, 0, 2/3
Let h(w) be the third derivative of -1/945*w**7 - 1/180*w**6 + 1/54*w**4 + 1/1512*w**8 + 0*w + 0*w**3 + 1/270*w**5 + 0 - 8*w**2. Find c such that h(c) = 0.
-1, 0, 1, 2
Let a(o) be the third derivative of -o**6/1800 - o**5/150 - o**4/30 - 20*o**3/3 - 15*o**2. Let i(c) be the first derivative of a(c). Factor i(u).
-(u + 2)**2/5
Let m(t) be the third derivative of -t**9/136080 + t**7/3780 + t**6/810 + t**5/360 - t**4/4 + 43*t**2. Let w(o) be the second derivative of m(o). Factor w(d).
-(d - 3)*(d + 1)**3/9
Let r(y) be the third derivative of -y**8/588 + 19*y**7/245 - 151*y**6/105 + 96*y**5/7 - 468*y**4/7 + 720*y**3/7 - 445*y**2. Let r(q) = 0. What is q?
1/2, 6, 10
Let y be 408/42 - 6/(-21). Let g(o) be the third derivative of -2/51*o**3 + 0 + y*o**2 - 1/68*o**4 + 0*o - 1/510*o**5. Let g(t) = 0. Calculate t.
-2, -1
Let t = -140 + 148. Let n(b) be the first derivative of -t*b - 1/5*b**5 - 3 - 7/4*b**4 - 6*b**3 - 10*b**2. Determine o, given that n(o) = 0.
-2, -1
Factor 0 + 17/4*w + 3/8*w**3 + 53/8*w**2.
w*(w + 17)*(3*w + 2)/8
Let -276*s**3 - 519*s**2 - 43 - 5 + 131*s**4 - 158*s**4 - 318*s = 0. Calculate s.
-8, -1, -2/9
Suppose -2*f - 2*y = -114, 2*f - 3*y - 193 = -2*f. Determine j so that -14*j**3 - f*j**2 - 2 - 32*j + 0*j - 2 - 10*j**3 = 0.
-1, -1/6
Suppose -9 = 4*q - 7*q. Suppose 5*g - 3*b - 1 = -7, 3*g = 4*b - 8. Factor 2*w**3 - 6*w**3 + g*w**3 + w**q.
-3*w**3
Factor -10*p**3 - 11*p**2 + 2 - 9*p**2 + 13*p**3 + 7*p + 8*p**3.
(p - 1)**2*(11*p + 2)
Suppose 228 = 2*i + 4*i. Factor 50*s**2 + i - 29*s + 9*s - 36.
2*(5*s - 1)**2
Let j(n) be the third derivative of -3/10*n**6 + 2/15*n**5 + 10*n**2 + 0 + 3/2*n**4 - 4/3*n**3 + 0*n. Factor j(o).
-4*(o - 1)*(o + 1)*(9*o - 2)
Suppose -10*s - 17*s - 16 + 2*s**2 + 25*s - 6*s - 8 = 0. Calculate s.
-2, 6
Let b(y) be the first derivative of 3*y**5/5 - 3*y**4 + y**3 + 9*y**2 + 122. Factor b(j).
3*j*(j - 3)*(j - 2)*(j + 1)
Let k(y) be the third derivative of -y**6/720 - 17*y**5/360 - 5*y**4/24 + 20*y**2 - y. Determine n, given that k(n) = 0.
-15, -2, 0
Let s(k) be the third derivative of -5*k**8/672 + 3*k**7/140 + 11*k**6/120 - 3*k**5/10 - k**4/6 + 295*k**2. Let s(f) = 0. Calculate f.
-2, -1/5, 0, 2
Let d = 1/255 - -8/2295. Let b(s) be the third derivative of 5*s**2 - 1/540*s**6 - d*s**5 + 2/27*s**3 + 1/108*s**4 + 0*s + 0. Find g, given that b(g) = 0.
-2, -1, 1
Suppose 8*q - 40 = -0. Suppose -4*t = 4*p - q*p - 17, -3*p = 5*t - 17. Suppose 2/13*f**t - 6/13*f**2 - 4/13 + 2/13*f**3 - 10/13*f = 0. What is f?
-1, 2
Let s(k) = -k**3 - 9*k**2 + 20*k. Let x be s(-11). Suppose 22*p - 22 = x. Factor 2/9*h**p + 0 + 0*h.
2*h**2/9
Let a(h) be the second derivative of -h**4/12 - h**3 + 23*h. Suppose a(l) = 0. What is l?
-6, 0
Let g(a) be the first derivative of -3*a**3 + 0*a + 0*a**2 + 3/4*a**4 - 19. Factor g(n).
3*n**2*(n - 3)
Let n(g) be the first derivative of -57*g**5/35 - 117*g**4/14 - 12*g**3 - 12*g**2/7 + 7. Factor n(h).
-3*h*(h + 2)**2*(19*h + 2)/7
Let w(f) be the third derivative of 5*f**2 + 0 + 0*f**3 - 3/70*f**7 + 0*f + 1/40*f**6 + 3/20*f**5 + 0*f**4 - 1/112*f**8. Let w(z) = 0. Calculate z.
-3, -1, 0, 1
Let o(w) = w - 2. Let j be (-2 - -2) + (3 - -1). Let y be o(j). What is s in -5*s**2 - 15*s + 14*s**2 - 5 - y + 1 = 0?
-1/3, 2
Let i(h) = -3*h**3 + 236*h**2 - 156*h + 3. Let l be i(78). Suppose -1/4*o**4 + o**l - o + 1 - 3/4*o**2 = 0. Calculate o.
-1, 1, 2
Let u(m) be the first derivative of m**9/24192 - m**7/2240 - m**6/1440 - 7*m**3/3 + m + 18. Let a(i) be the third derivative of u(i). What is x in a(x) = 0?
-1, 0, 2
Factor 1/5*c**3 + 11/5*c - 7/5*c**2 - 1.
(c - 5)*(c - 1)**2/5
Let d(w) = -4*w**3 - 13*w**2 - 19*w - 3. Let m(f) = 7*f**3 + 25*f**2 + 37*f + 5. Let z(b) = -5*d(b) - 3*m(b). Factor z(x).
-x*(x + 2)*(x + 8)
Let p(r) = -r**2 + 5*r - 1. Let f be p(4). Let u(o) be the first derivative of -2/5*o - 1/5*o**4 + 2/25*o**5 + 0*o**f - 2 + 2/5*o**2. Solve u(w) = 0.
-1, 1
Let j(t) be the first derivative of t**4/7 - 8*t**3/7 + 24*t**2/7 - 32*t/7 - 43. Suppose j(b) = 0. Calculate b.
2
Let g(x) = 16*x**5 - 6*x**4 + 40*x**3 + 42*x**2 - 14*x - 22. Let b(t) = -t**5 - t**4 - 2*t**3 + t**2 - 1. Let k(y) = 14*b(y) + g(y). Solve k(f) = 0 for f.
-1, 1, 2, 9
Suppose 2*u = 2 - 6. Let o = u - -7. Factor 9*l**3 + 4*l**o + 4*l + 15*l**3 - 2*l**4 - 8*l**4 - 6*l**4 - 16*l**2.
4*l*(l - 1)**4
Let p(k) be the second derivative of 2/9*k**4 + 1/15*k**5 + 0 - 2/9*k**3 + 20*k - 4/3*k**2. Suppose p(x) = 0. What is x?
-2, -1, 1
Factor -44/7*n**2 - 32/7 + 184/7*n.
-4*(n - 4)*(11*n - 2)/7
Factor -24 - 41*j - 13240*j**3 - 3*j + 13239*j**3 + j**4 - 22*j**2.
(j - 6)*(j + 1)*(j + 2)**2
Let y = 410 - 410. Let c