*3 - 4/7 + 2/7*l**2 - 6/7*l + 2/7*l**g.
2*(l - 1)*(l + 1)**2*(l + 2)/7
Let f(z) = -z + 5. Let r(v) = v. Let i(a) = -4*f(a) - 12*r(a). Let s be i(-3). Find h, given that -1/4*h**s + h**3 + 0*h - h**2 + 0 = 0.
0, 2
Let d = -65 + 69. Suppose d*c = -5*c + 18. Suppose 0*j**c + 0 - 2/11*j**5 + 4/11*j**3 + 0*j**4 - 2/11*j = 0. What is j?
-1, 0, 1
Let n(i) be the first derivative of -2*i**5/15 - 3*i**4/2 + 94*i**3/9 - 21*i**2 + 52*i/3 + 290. Find m, given that n(m) = 0.
-13, 1, 2
Suppose 5226 = 9*n + 1023. Factor 120*r - 237*r**2 - 235*r**2 + n*r**2 - 720.
-5*(r - 12)**2
Factor -40/3*s**3 - 8*s**2 + 4/3 + 28*s**4 + 4*s - 12*s**5.
-4*(s - 1)**3*(3*s + 1)**2/3
Let v(j) = -4*j**3 + 199*j**2 + 1925*j + 3077. Let w(s) = -5*s**3 + 299*s**2 + 2887*s + 4615. Let i(g) = -7*v(g) + 5*w(g). Factor i(n).
3*(n + 2)*(n + 16)**2
Let q = 2 - 5. Let a be (-2)/(q/2 - -1). Find y such that 15*y**4 - 10*y**4 - 7*y**a + 4*y**3 = 0.
0, 2
Solve 208*m**2 + 372*m**3 + 57*m - 9*m**4 - 52*m + 29*m**4 - 149*m = 0.
-18, -1, 0, 2/5
Factor 295*g**3 - 1 - 10*g**2 - 290*g**3 + 0 + 1.
5*g**2*(g - 2)
Suppose 2*r + 6*d = 2*d + 16, 2*r - 3*d = -19. Let k be -2*1/(-4) + r/4. Factor 2/15*g**4 - 4/15*g**2 + k - 2/15*g**3 + 0*g.
2*g**2*(g - 2)*(g + 1)/15
Let a(j) be the second derivative of j**4/18 - 29*j**3/9 + 18*j**2 - 22*j - 3. Let a(t) = 0. Calculate t.
2, 27
Suppose -2*k + 4*p - 28 = -4*k, k - 5*p + 21 = 0. Let y(j) be the first derivative of j**5 + 0*j - 4 - 5/3*j**3 - 5/2*j**2 + 5/4*j**k. Factor y(q).
5*q*(q - 1)*(q + 1)**2
Suppose 3*p + 5*t - 27 = 0, -2 + 4 = 2*p - 2*t. Suppose 2*c + 14 = -p*d, 2*d + 0 = 3*c - 19. Factor 0 - 3/5*y**c + 0*y**2 + 3/5*y.
-3*y*(y - 1)*(y + 1)/5
Let k(c) = -35*c**4 - 165*c**3 - 360*c**2 + 95*c + 480. Let o(v) = -9*v**4 - 41*v**3 - 90*v**2 + 24*v + 120. Let j(r) = -4*k(r) + 15*o(r). Factor j(t).
5*(t - 1)*(t + 2)**2*(t + 6)
Let l(q) = -3*q**2 - 23*q + 69. Let c(i) = i**2 + 8*i - 24. Let d(t) = 11*c(t) + 4*l(t). Determine u, given that d(u) = 0.
-6, 2
Suppose -10*x + 14*x - 56 = 0. Factor -x*p**2 + 27*p**2 - 12*p**2 - p**4.
-p**2*(p - 1)*(p + 1)
Suppose 4 - 1/3*n**2 + 7/3*n**4 - 44/3*n + 26/3*n**3 = 0. Calculate n.
-3, -2, 2/7, 1
Let d(j) be the second derivative of j**4/12 + 5*j**3/6 + 83*j. Factor d(r).
r*(r + 5)
Find f, given that 3492*f**3 - 15*f**2 - 72 - 18*f**2 - 3488*f**3 - 7*f**2 + 108*f = 0.
1, 3, 6
Let k(v) be the second derivative of 5*v**4/12 - 45*v**3 - 345*v. Factor k(s).
5*s*(s - 54)
Let h = 2966308572/28633 - 1968336/19. Let a = 24/137 + h. Factor -a*k**2 + 8/11*k**3 - 2/11*k**4 - 2/11 + 8/11*k.
-2*(k - 1)**4/11
Suppose 5*t - 4*k = 300, 4*k + 59 = t + 3*k. Solve 3*v**2 + 4 + 9*v - t*v**3 + 20*v**2 + 9*v**2 + 19*v = 0.
-1/4, 1
Let h(y) = 70*y**2 + 315*y + 1375. Let c(m) = -17*m**2 - 79*m - 344. Let k(t) = -25*c(t) - 6*h(t). Factor k(q).
5*(q + 7)*(q + 10)
Let 3*q**3 + 9 + 1/2*q**5 - 14*q**2 + 5*q**4 - 7/2*q = 0. What is q?
-9, -2, -1, 1
Suppose -3*c + 0*i = i - 13, -4*c + 20 = 2*i. Suppose 3*f + c = 4*f. Find w such that 0*w**2 + 3*w**3 - 3*w**2 + f - 22*w + 19*w = 0.
-1, 1
Factor 334*k + 3*k**2 - 3*k**4 - 3*k**3 + 3*k**5 - 669*k + 335*k.
3*k**2*(k - 1)**2*(k + 1)
Let x(d) be the first derivative of d**4/66 + 11*d + 25. Let n(q) be the first derivative of x(q). Factor n(b).
2*b**2/11
Let a(q) = -q**5 + 32*q**4 + 52*q**3 - 605*q**2 - 48*q + 576. Let w(c) = -c**5 - c**2. Let z(k) = a(k) + 3*w(k). Determine g, given that z(g) = 0.
-4, -1, 1, 6
Let w(y) be the first derivative of 8*y**3/27 - 13*y**2/9 + 2*y/3 - 113. Suppose w(k) = 0. What is k?
1/4, 3
Suppose 56*g - 60*g = 16. Let s(y) = 3*y**2 + 16*y + 8. Let w(d) = -3*d**2 - 17*d - 7. Let a(k) = g*w(k) - 5*s(k). Let a(i) = 0. Calculate i.
-2
Let x(k) be the first derivative of -4*k**5/25 + 13*k**4/10 - 6*k**3/5 - 8*k**2 - 32*k/5 - 730. Solve x(q) = 0.
-1, -1/2, 4
Let i = 9 - 3. Factor 7*b**3 - 17 - i*b**3 + 4*b**2 - 1 - 3*b.
(b - 2)*(b + 3)**2
Let v be 105/25 + 450/(-375). Factor 0 + 0*a**2 - 5/4*a**v + 5/4*a.
-5*a*(a - 1)*(a + 1)/4
Let t = -325 + 328. Let l(m) be the third derivative of 4*m**2 + 0*m + 0*m**4 + 1/30*m**5 + 0 - 4/3*m**t. Factor l(w).
2*(w - 2)*(w + 2)
Let i(a) be the first derivative of a**5/45 + 7*a**4/36 - a**3/3 - 7*a**2/18 + 8*a/9 - 32. Factor i(u).
(u - 1)**2*(u + 1)*(u + 8)/9
Let f be (3*3/36)/((-39)/(-234)). Let s(m) be the second derivative of -2/5*m**6 + m - f*m**2 + 9/5*m**5 + 0 - 13/4*m**4 + 3*m**3. Find x such that s(x) = 0.
1/2, 1
What is y in -244*y**2 + 1044*y**2 - 156*y**5 - 4 + 151*y**5 - 640*y + 4 - 360*y**3 + 70*y**4 = 0?
0, 2, 4
Let l(t) be the third derivative of -t**7/2520 + t**6/540 + t**5/72 - t**4/12 - 22*t**3/3 - 11*t**2. Let v(c) be the first derivative of l(c). Factor v(f).
-(f - 3)*(f - 1)*(f + 2)/3
Let h = -20 + 20. Let w be ((-39)/26)/(3/(-4)). Factor 6/13*j**w - 2/13*j**3 - 4/13*j + h.
-2*j*(j - 2)*(j - 1)/13
Let u be (-987)/658*(-8 + 0)*1/39. Suppose 0*r**3 + 0 - 2/13*r**4 + u*r + 6/13*r**2 = 0. Calculate r.
-1, 0, 2
Let k be 4/(-8) - (-49)/14. Factor -2*v + 6*v + 4*v**4 - 4*v**k - 4*v**2 + 2*v**2 - 2*v**2.
4*v*(v - 1)**2*(v + 1)
Let c(j) = -2*j**4 - 22*j**3 - 62*j**2 - 22*j. Let w(g) = -g**4 - g**3 + g**2 + g. Let d(v) = c(v) - 10*w(v). Factor d(l).
4*l*(l - 4)*(l + 2)*(2*l + 1)
Let i(q) be the second derivative of q**4/54 + 5*q**3/27 - 14*q**2/9 + 9*q + 4. Find j such that i(j) = 0.
-7, 2
Let x(k) be the third derivative of -k**5/60 + 4*k**4/3 - 31*k**3/6 + 20*k**2. Solve x(r) = 0 for r.
1, 31
Let b be (14 - 13)/(2/6). Suppose 30 = 3*x + 2*x. Factor -2 + 9*z - x*z**2 + z**2 + 2*z**2 - z**b - 3*z**3.
-(z - 1)*(z + 2)*(4*z - 1)
Factor -86*s**2 - 19*s**2 - 62*s**3 + 7*s**3 + 40*s**2 + 55*s + 35 + 5*s**4 + 25.
5*(s - 12)*(s - 1)*(s + 1)**2
Let 144/5*f - 2/5*f**2 - 2592/5 = 0. Calculate f.
36
Let q(y) = y**3 - y**2 + y - 1. Let t(n) = 2*n**3 + 61*n**2 - n + 1. Let z(a) = q(a) + t(a). Solve z(m) = 0.
-20, 0
Let h(c) be the first derivative of 2*c**3/21 + 3*c**2/7 - 36*c/7 + 188. Factor h(y).
2*(y - 3)*(y + 6)/7
Let t be 3/5*32715/(-135). Let x = -145 - t. Factor x*i**2 + 4/5*i**3 + 2/5*i**4 + 0 + 0*i.
2*i**2*(i + 1)**2/5
Let j(u) = 2*u**2 - u + 1. Let s(w) = -w**3 + 259*w**2 - 19691*w + 531449. Let q(p) = 40*j(p) - 5*s(p). Factor q(h).
5*(h - 81)**3
Let y = -23 + 104. Suppose -3*q = -93 + y. Determine l so that -1/3*l**3 + 0*l**2 + 0*l**q + 1/3*l**5 + 0*l + 0 = 0.
-1, 0, 1
Let w be 4/((-160)/(-16) - 9). Find f such that 20*f**2 + 22*f**w + 6*f + 92/3*f**3 + 6*f**5 + 2/3 = 0.
-1, -1/3
Let i(s) be the second derivative of -s**4/4 - 4*s**3/3 + 3*s**2/2 + 13*s - 3. What is f in i(f) = 0?
-3, 1/3
Solve 16/5 + 14/5*i**2 - 28/5*i - 2/5*i**3 = 0 for i.
1, 2, 4
Let s(v) be the third derivative of -v**9/2880 + 23*v**8/6720 - v**7/280 + v**5/6 - 12*v**2. Let m(t) be the third derivative of s(t). Solve m(g) = 0 for g.
0, 2/7, 3
Suppose 0 = 2*g + 4*r - 2, g + 0*g + 23 = 4*r. Let x = g - -13. Find o such that 3 + 5*o**2 - 2*o**2 - x = 0.
-1, 1
Suppose -374*d = -347*d - 216. Let o(j) be the second derivative of 6*j**3 + 2*j**4 + 0*j**2 - d*j + 1/5*j**5 + 0. Let o(c) = 0. What is c?
-3, 0
Let m(b) = b**3 - 5*b**2 - 4*b - 3. Let c be m(6). Let -24*t**4 - 7*t**2 + 15*t**5 - 5*t**2 - c*t**2 + 3*t**3 + 27*t**2 = 0. What is t?
-2/5, 0, 1
Let f(g) be the first derivative of 3/5*g**5 + 3*g**2 + 0*g + 3*g**4 + 5*g**3 + 1. Factor f(h).
3*h*(h + 1)**2*(h + 2)
Let c(h) be the third derivative of h**5/60 - 17*h**4/24 + 5*h**3 + 67*h**2 + h. Let c(u) = 0. Calculate u.
2, 15
Let y be 20/90*(-36)/(-16)*0. Let z(k) be the third derivative of -12*k**2 + 1/270*k**5 + 0*k + y*k**4 + 0*k**3 + 0. Find g, given that z(g) = 0.
0
Let o be 6/(-5) + (-3 - -5). Let a = -47/8 - -251/40. Factor o*q**3 + 0 + 6/5*q**2 + a*q.
2*q*(q + 1)*(2*q + 1)/5
Suppose -5*p - 31 = -3*y, 6*y + 24 = 8*y - 4*p. Let g(j) = -21*j + 44. Let z be g(y). Factor 1/4 - 1/4*v**3 + 3/4*v**z - 3/4*v.
-(v - 1)**3/4
Let -y**2 + 0*y - 1/4*y**3 + 0 + 1/4*y**5 + y**4 = 0. What is y?
-4, -1, 0, 1
Let -8*j**2 - 25*j**3 - 2*j**2 - 5*j**5 - 37*j**4 + 17*j**4 = 0. What is j?
-2, -1, 0
Suppose -373 = -19*c - 335. Find i, given that 0 + 6/13*i**5 - 14/13*i**3 - 8/13*i**4 + 8/13*i + 8/13*i**c = 0.
-1, -2/3, 0, 1, 2
Find h, given that 74/11 + 76/11*h + 2/11*h**2 = 0.
-37, -1
Let z be (-8)/52 - (960/39)/(-4). Find b such that -1 + 