2 + 24*a**3 + 26*a - 14*a + 3*a**4 + 18*a + 704*a**2 = 0 for a.
-5, -2, -1, 0
Solve 108/11 + 58/11*v - 122/11*v**4 - 390/11*v**3 - 4/11*v**5 - 322/11*v**2 = 0 for v.
-27, -2, -1, 1/2
Factor -4864*x**3 + 88*x**2 - 50*x + 4849*x**3 + 44*x**2 - 19*x - 216.
-3*(x - 8)*(x + 1)*(5*x - 9)
Let b = 7147 + -7147. Let d be 9/(21/(2 - -1)). Factor -d*h + 6/7 + b*h**2 + 3/7*h**3.
3*(h - 1)**2*(h + 2)/7
Let c(f) be the third derivative of -7*f**5/60 + 5*f**4/12 - 79*f**2. Let z(y) = -5*y**2 + 11*y. Let p(d) = -4*c(d) + 5*z(d). Factor p(l).
3*l*(l + 5)
Let -6432 + 4245*l - 3*l**2 - 979*l + 1435*l + 1532*l + 202*l = 0. Calculate l.
1, 2144
Let l(u) be the third derivative of u**6/660 - 167*u**5/165 + 665*u**4/132 - 332*u**3/33 - 3506*u**2. Let l(o) = 0. Calculate o.
1, 332
Let y(k) = k**3 - 7*k**2 + 23*k - 161. Let s be y(7). Let h(j) be the first derivative of 0*j**4 - 30 - 14/33*j**3 - 6/11*j**2 + 2/55*j**5 + s*j. Factor h(x).
2*x*(x - 3)*(x + 1)*(x + 2)/11
Suppose 310*w - 3565 = -2945. Let 2 - 10/3*v - 4/3*v**w = 0. What is v?
-3, 1/2
Let v be 2*10*158/395. Suppose 37/2*t**3 - 32*t**2 - v - 5*t**4 + 26*t + 1/2*t**5 = 0. What is t?
1, 2, 4
Factor 33/5*p**2 + 72/5 - 102/5*p - 3/5*p**3.
-3*(p - 6)*(p - 4)*(p - 1)/5
Let p(m) be the first derivative of -7*m**4/20 - 527*m**3/15 + 191*m**2/5 + 152*m/5 - 453. Find s, given that p(s) = 0.
-76, -2/7, 1
Let j(o) = -2*o**2 + 13*o + 15. Let h(c) = c**2 + c - 3. Let t be h(-2). Let s(g) = -g - 1. Let y(n) = t*j(n) - 5*s(n). Factor y(u).
2*(u - 5)*(u + 1)
Let t(o) be the second derivative of o**7/420 - 2*o**6/45 + 3*o**5/20 + 3*o**4/2 - 41*o**3/2 - 19*o - 5. Let y(x) be the second derivative of t(x). Factor y(j).
2*(j - 6)*(j - 3)*(j + 1)
Let x(r) = r**3 + 22*r**2 + 1. Let q(i) = 3*i**3 - 9*i**2 + 35*i + 20827. Let b(z) = q(z) - 2*x(z). What is f in b(f) = 0?
-17, 35
Let y be (5152/2944)/((-21)/(-162)). Factor y - 9/2*r - 3/2*r**3 - 15/2*r**2.
-3*(r - 1)*(r + 3)**2/2
Let a(h) = 18*h + 73. Let x be a(-4). Suppose 0 = 2*u - 2*w - 10, w + x = -2*u + u. Factor 0 - 3/2*k**5 - 18*k**3 + 0*k - 12*k**u - 9*k**4.
-3*k**2*(k + 2)**3/2
Let g(p) = 74*p**3 + 149*p**2 + 113*p - 2795. Let v(f) = 13*f**3 + 25*f**2 + 19*f - 465. Let h(b) = -6*g(b) + 34*v(b). Suppose h(d) = 0. What is d?
-20, -6, 4
Let h(f) = -5*f**3 + 274*f**2 - 3417*f + 11466. Let w(x) = -16*x**3 + 821*x**2 - 10248*x + 34398. Let u(m) = -7*h(m) + 2*w(m). Solve u(s) = 0.
7, 78
Solve -1124*p + 7*p**5 + 30 - 93*p**4 + 898*p**4 - 2272*p**3 + 1048*p**2 + 2356*p - 56*p**5 + 178 = 0.
-2/7, 2, 13
Let v(i) = i**2 - 5. Let r be v(2). Let k be (7 - 7)/(3 + r). Factor k*w**2 - 2/17*w**5 + 0*w - 2/17*w**3 + 0 + 4/17*w**4.
-2*w**3*(w - 1)**2/17
Let m(s) = 5*s**3 + 2358*s**2 + 280839*s + 6. Let x(o) = -5*o**3 - 2360*o**2 - 280840*o - 5. Let w(t) = -5*m(t) - 6*x(t). Factor w(d).
5*d*(d + 237)**2
Factor 0 - 1/2*q**3 + 149/2*q**2 + 0*q.
-q**2*(q - 149)/2
Let b(q) = q**5 - q**4 + q**3 + q - 1. Let g(f) = -2*f**5 - 47*f**4 - 469*f**3 + 2704*f**2 - f + 1. Let s(z) = -b(z) - g(z). Factor s(v).
v**2*(v - 4)*(v + 26)**2
Let q(k) be the second derivative of 3*k**4/4 - 163*k**3/4 + 81*k**2/4 + 1312*k. Factor q(c).
3*(c - 27)*(6*c - 1)/2
Let v be (14/(-4) + 1)*(-8)/10. Let -r**4 - 100*r + 93*r + 3*r**3 - r**2 - 6 + 5*r**v - r**2 = 0. Calculate r.
-1, 2, 3
Let o(u) be the first derivative of -u**6/24 - u**5 - 53*u**4/16 + 85*u**3/6 - 12*u**2 + 168. Let o(j) = 0. Calculate j.
-16, -6, 0, 1
Let x be (72/54)/(1/(342/4)). Let f = 119 - x. Suppose -f*o**4 - 42 + 4*o**3 + 35*o**2 - 14*o**3 + 42 - 20*o = 0. Calculate o.
-4, 0, 1
Let t be 6/8*(-2 - 2)*(-21)/(27 + -6). Let -8/5 - 26/5*o**2 - 24/5*o - 2/5*o**4 - 12/5*o**t = 0. Calculate o.
-2, -1
Factor -672/11 - 74/11*m - 2/11*m**2.
-2*(m + 16)*(m + 21)/11
Let s(v) be the third derivative of -5*v**7/168 + 9*v**6/160 + v**5/5 - v**4/24 + 179*v**2 + 5. Let s(y) = 0. What is y?
-1, 0, 2/25, 2
Let o = 205 - 203. Find r such that 3*r**o - 19*r - 816 + 4*r + 816 = 0.
0, 5
Let o(y) = -y**3 + 10*y**2 - 13*y - 6. Let p(m) = m**3 - 11*m**2 + 14*m + 8. Let h be (((-24)/(-7))/3)/((-36)/(-126)). Let n(i) = h*o(i) + 3*p(i). Factor n(w).
-w*(w - 5)*(w - 2)
Suppose -47*j + 46*j = -3*a + 29, j - 4*a = -40. Solve -52*r**2 + 260/11*r**j + 82/11*r**3 - 80/11 - 50/11*r**5 - 424/11*r = 0 for r.
-1, -2/5, 2, 5
Let g(p) be the third derivative of -p**11/332640 + p**9/60480 + 17*p**5/12 + 7*p**2. Let c(f) be the third derivative of g(f). Let c(x) = 0. What is x?
-1, 0, 1
Let t = -82 - -85. Solve -302*z**2 + 12 - 293*z**2 + 3*z**t + 583*z**2 - 3*z = 0 for z.
-1, 1, 4
Let k(p) be the third derivative of p**5/90 - 5*p**4/4 + 14*p**3 + 2*p**2 - 157. Factor k(x).
2*(x - 42)*(x - 3)/3
Let i(y) = y**3 - y. Let z(q) be the second derivative of q**5/10 - q**4/2 - 2*q**3 - 2*q**2 + 83*q. Let h(c) = 15*i(c) - 5*z(c). Factor h(k).
5*(k + 1)**2*(k + 4)
Let f be ((-35)/4)/(440/(-2112)). Let x be 3/6*105/f. Solve -5/4*v**5 + 15/4*v**4 + 5/2*v - x*v**3 + 0 - 15/4*v**2 = 0.
-1, 0, 1, 2
Find o such that -7/2 - 57/2*o**2 + 2*o**4 - 19/2*o**3 - 41/2*o = 0.
-1, -1/4, 7
Let v(d) be the second derivative of -d**4/6 + 14*d**3 - 432*d**2 + 4222*d. Suppose v(g) = 0. Calculate g.
18, 24
Suppose -14*y + 188 = 20. Factor 323*x**4 - 160*x**4 - 175*x**4 - 9*x**3 + y*x**2 + 9*x.
-3*x*(x - 1)*(x + 1)*(4*x + 3)
Let k be 45*15/405 + (-4)/(-3). Let c(x) be the first derivative of x**2 + 16 - 1/12*x**k - 4*x. Factor c(u).
-(u - 4)**2/4
Let l = -629171 - -629174. Factor 8/5*i**l - 10*i - 58/5*i**2 + 16/5.
2*(i - 8)*(i + 1)*(4*i - 1)/5
Let n(y) = -1923*y + 273068. Let p be n(142). Factor -1/4*o**p + 0 + 17/4*o.
-o*(o - 17)/4
Let x be 8 + 25/((-150)/7272). Let o = 1209 + x. Factor -80/3*n + 361/6*n**2 + 46/3*n**4 - 163/3*n**3 - 4/3*n**o + 25/6.
-(n - 5)**2*(2*n - 1)**3/6
Let h be (((-56)/1176)/((-1)/7))/(60/18). Let r(f) be the third derivative of 0 - 3/8*f**4 + 0*f**3 - h*f**5 + 0*f + 30*f**2 + 1/40*f**6. Factor r(v).
3*v*(v - 3)*(v + 1)
Let r(o) be the first derivative of -o**5/20 - 25*o**4/8 + 13*o**3 + o**2 + 91*o - 97. Let m(x) be the second derivative of r(x). Factor m(h).
-3*(h - 1)*(h + 26)
Suppose -1634*b + 1029024 = -443*b. Factor b + 72*f + 3/2*f**2.
3*(f + 24)**2/2
Let r(a) = -a**3 - 2*a**2 + 14*a - 2. Let m be r(-5). Let 6*s**5 + 2*s**5 + 9*s**3 - 10*s - 15*s**4 + 15*s**2 - 4*s**m - 3*s**5 = 0. Calculate s.
-1, 0, 1, 2
Suppose 50 = f + 46. Factor -3*i**f + 6*i**3 - i**4 + 11*i + 2*i**4 + 4*i**2 + 16 - 35*i.
-2*(i - 2)**2*(i - 1)*(i + 2)
Let k(o) be the second derivative of 0*o**2 + 37*o + 0 + 5/12*o**4 - 25*o**3. Factor k(y).
5*y*(y - 30)
Let -351/4 - 1/4*g**4 - 5/2*g**3 + 45/2*g + 12*g**2 = 0. Calculate g.
-13, -3, 3
Determine p, given that 477/2 - 951/2*p - 3*p**2 = 0.
-159, 1/2
Let s = 254400 - 254396. Solve -1/3*y**5 + 25/3 + 5*y + 3*y**s - 14/3*y**3 - 34/3*y**2 = 0.
-1, 1, 5
Find c such that 468*c**2 - 19 - 94*c - 428*c**3 - 3 - 34*c + 156*c**4 - 22*c**5 - 26 + 2*c**5 = 0.
-1/5, 1, 2, 3
Let b(c) = 2*c**3 + 8*c**2 - 220*c + 222. Let t(g) = 8*g**3 + 33*g**2 - 883*g + 892. Let u(n) = -25*b(n) + 6*t(n). What is m in u(m) = 0?
-11, 1, 9
Let v(r) = 11*r**2 + 661*r + 734. Let i(h) = 5*h**2 + 335*h + 366. Let f(g) = -14*i(g) + 6*v(g). Solve f(m) = 0.
-180, -1
Let j(k) be the third derivative of k**7/560 - 3*k**6/160 + k**5/40 + 3*k**4/32 - 5*k**3/16 - 44*k**2 - 5*k. Factor j(l).
3*(l - 5)*(l - 1)**2*(l + 1)/8
Let o(p) be the first derivative of 3*p**5/5 + 93*p**4/2 + 179*p**3 + 177*p**2 - 5920. Determine f, given that o(f) = 0.
-59, -2, -1, 0
Let f = -2/104643 + 34883/104643. What is d in -3*d + f*d**3 + 1/3*d**4 - 11/3*d**2 + 6 = 0?
-3, -2, 1, 3
Let m(v) be the third derivative of -4/525*v**7 + 0*v**3 + 2/75*v**5 - 1/150*v**6 + 0*v**4 + 0 + 1/420*v**8 + 0*v + 31*v**2. Let m(q) = 0. What is q?
-1, 0, 1, 2
Let a(b) = 2*b**3 + 8*b**2 - 1. Let r(i) = 5*i**3 + 8*i**2 + 12*i - 2. Let c(y) = 2*a(y) - r(y). Factor c(l).
-l*(l - 6)*(l - 2)
Let p = -21/650 + 1489/5850. Solve 0 + 16/9*c**2 - p*c**3 - 32/9*c = 0 for c.
0, 4
Let g(f) be the first derivative of f**6/8 - 13*f**5/20 - 25*f**4/8 - 7*f**3/2 - f**2/8 + 7*f/4 - 1202. Factor g(b).
(b - 7)*(b + 1)**3*(3*b - 1)/4
Let f(l) be the third derivative of 0 - 64/15*l**3 + 1/75*l**6 + 68/15*l**4 - 13/30*l**5 - 12*l**2 - l. Factor f(j).
2*(j - 8)**2*(4*j - 1)/5
What is