(a - 1)/7
Let a = -14106 + 14115. Let r = 59 + -35. Let -r*n - 1 + 16*n**3 - 2*n**4 - 6*n**2 + 9*n**4 + a - n**4 = 0. Calculate n.
-2, 1/3, 1
Let n = 15 + -10. Suppose 4*t = 15 + n. What is h in -202*h**4 + 5*h**2 + 207*h**4 + 10*h**2 + t*h + 15*h**3 = 0?
-1, 0
Let a(u) be the second derivative of -u**4/24 - 4*u**3/9 - 4*u**2/3 + 273*u. Suppose a(n) = 0. Calculate n.
-4, -4/3
Factor -5/2*d**3 - 475/2*d**2 + 470 - 230*d.
-5*(d - 1)*(d + 2)*(d + 94)/2
Let -1/4*n**3 - 255/2*n**2 - 3033/4*n - 1134 = 0. Calculate n.
-504, -3
Suppose -8/5*p**4 - 4/5*p**5 - 4/5*p**3 + 0*p**2 + 0*p + 0 = 0. What is p?
-1, 0
Let w be 1/3*-19*27. Let o = -169 - w. Find j, given that -3*j**o + 25/3 - 1/3*j**3 - 5*j = 0.
-5, 1
Let h be 6 + (-3 - (-3 - -4)). Suppose c - 9 = -h*w, 0 = 2*w - 2*c + 7*c - 29. Suppose 0 + 2/5*b**w + 8/5*b = 0. What is b?
-4, 0
Let n = 195 - 166. Factor 88 - n*l - 75*l + 8*l + 939 + 2*l**2 + 125.
2*(l - 24)**2
Let n = -1218 - -1229. Suppose 1 = -2*x + 7. Factor 19*a**3 - 109*a**2 - 48*a - n*a**2 - 64*a**3 - 30*a**x.
-3*a*(5*a + 4)**2
Let w(o) be the third derivative of o**8/2520 - 17*o**7/1575 - 17*o**6/15 - 3794*o**5/225 + 2156*o**4/45 + 10055*o**2. Find q, given that w(q) = 0.
-14, 0, 1, 44
Let y(i) = -3*i**2 - 12. Let x(v) = -8*v**2 - v - 35. Let g(b) = 4*x(b) - 11*y(b). Let d be g(6). Factor 4 - 14*f**2 + 17*f**3 + 15*f**3 - 10*f**2 - 12*f**d.
-4*(f - 1)**3*(3*f + 1)
Let g be 1/(6 + (-54)/144 + -5). Factor -3698/5*a**2 + 344/5*a - g.
-2*(43*a - 2)**2/5
Find o, given that -248/9*o**3 - 14/9*o**2 + 215/3*o + 1/3*o**5 - 44/9*o**4 - 38 = 0.
-3, 2/3, 1, 19
Let g(s) = -20*s**2 + 796*s - 16. Let j(a) = -2*a**2 + 2*a - 2. Let i(q) = -g(q) + 8*j(q). What is k in i(k) = 0?
0, 195
Let j(z) = 59*z**2 + 50*z - 1. Let u(n) = -5 + 15 + 0 - 530*n**2 - 450*n. Suppose 6 = -6*y + 30. Let b(q) = y*u(q) + 35*j(q). Solve b(x) = 0 for x.
-1, 1/11
Factor -12*m + 9/4 + 15/4*m**2.
3*(m - 3)*(5*m - 1)/4
Let c(y) be the second derivative of -14*y + 7/120*y**6 + 1/4*y**4 + 23/60*y**5 + 0 + 0*y**3 - 11/2*y**2. Let u(f) be the first derivative of c(f). Factor u(i).
i*(i + 3)*(7*i + 2)
Suppose -4*n - 40 = 3*s, -3*n + 4*s - 6 = 24. Let d(j) = 28*j**2 + 160*j - 58. Let r(y) = -1. Let i(b) = n*r(b) + d(b). Factor i(m).
4*(m + 6)*(7*m - 2)
Let w(y) be the second derivative of 2/15*y**6 - 14 + 13/6*y**3 + 2*y**4 + y + 17/20*y**5 + y**2. Factor w(l).
(l + 1)**2*(l + 2)*(4*l + 1)
Let a(u) be the third derivative of -13824*u**3 + u - 8/5*u**6 - 1152*u**4 + 0 - 16*u**2 - 288/5*u**5 - 2/105*u**7. Solve a(c) = 0 for c.
-12
Let w(y) be the first derivative of y**4/5 + 320*y**3 + 144000*y**2 + 572. Factor w(h).
4*h*(h + 600)**2/5
Let u = -367 - -312. Let m = 57 + u. Find o such that o - 1/7*o**4 - 2/7 + 5/7*o**3 - 9/7*o**m = 0.
1, 2
Let t(q) be the second derivative of q**6/10 + 69*q**5/10 - q**4/4 - 23*q**3 + 56*q - 22. Factor t(c).
3*c*(c - 1)*(c + 1)*(c + 46)
Suppose 6*u + 54 = 8*u. Suppose 4*r = -u + 35. Determine q so that -2 + 2*q**2 - 1 - q**2 + r*q = 0.
-3, 1
Let o(c) be the first derivative of -1/28*c**4 - 134 - 71/14*c**2 - 46/7*c - 26/21*c**3. What is i in o(i) = 0?
-23, -2, -1
Let k(o) be the third derivative of o**8/10080 + o**7/1440 - o**6/720 - 17*o**5/60 - 78*o**2. Let y(p) be the third derivative of k(p). Let y(v) = 0. What is v?
-2, 1/4
Let y(i) be the first derivative of 3*i**4/32 + 5*i**3/4 - 1269*i**2/16 + 1701*i/2 - 12424. Factor y(t).
3*(t - 9)**2*(t + 28)/8
Let a(p) = -9*p + 201. Let k(s) = -2*s + 39. Let g(h) = 2*a(h) - 11*k(h). Let n be g(8). Factor 0*v**2 + 2/7*v**3 + 9/7*v**4 + 0*v + v**n + 0.
v**3*(v + 1)*(7*v + 2)/7
Let q be 24 - 25 - 4/(-6) - 180/(-54). Let d be 3 + 1*(0 + -1). Factor -3/8*l**4 - 3/8*l**5 - 3/8 + 3/4*l**d - 3/8*l + 3/4*l**q.
-3*(l - 1)**2*(l + 1)**3/8
Let u(y) = 2484 - 1221 - 23*y**2 - 41*y - 1240 - y**3. Let k be u(-21). Factor 2/11*j**3 + 10/11*j - 4/11 - 8/11*j**k.
2*(j - 2)*(j - 1)**2/11
Let t(o) = -o**2 + 14*o - 11. Suppose 149 = 10*a + 19. Let z be t(a). Find u, given that 0*u**2 - u - z*u**2 + 0*u - u**3 = 0.
-1, 0
Let l(x) be the third derivative of -1/840*x**8 + 0*x + 0 + 44*x**2 + 0*x**5 + 1/50*x**6 + 0*x**3 + 0*x**4 + 1/105*x**7. Factor l(r).
-2*r**3*(r - 6)*(r + 1)/5
Suppose 0 = 64*t - 125 - 63 - 4. Let v(k) be the first derivative of 20 - 2/13*k**2 + 2/65*k**5 + 1/39*k**6 - 10/39*k**t - 3/26*k**4 + 0*k. Factor v(d).
2*d*(d - 2)*(d + 1)**3/13
Let f(l) be the second derivative of -l**5/4 - 5*l**4/6 + 35*l**3/6 - 10*l**2 - 1339*l. Find k, given that f(k) = 0.
-4, 1
What is s in 1568/3 + 1/3*s**3 - 133*s + 6*s**2 = 0?
-32, 7
Let x(s) be the third derivative of 0*s**3 - 37/6*s**5 + 0*s - 5/3*s**4 + 55/112*s**8 + 0 - 196*s**2 - 181/24*s**6 - 41/21*s**7. Determine m so that x(m) = 0.
-1, -1/3, -2/11, 0, 4
Let j(v) be the first derivative of -50/3*v**3 - 3*v**4 + 2/5*v**5 - 141 + 0*v - 18*v**2. Solve j(z) = 0 for z.
-2, -1, 0, 9
Let f = -7049 - -7049. Find u, given that f + 10/3*u**2 - 2/3*u + 14/3*u**4 - 4/3*u**5 - 6*u**3 = 0.
0, 1/2, 1
Let s(n) = 4*n**3 - 3*n**2 + 12*n - 1. Let x be 2*1 + (-25 - -31). Let m(d) = 11*d**3 - 10*d**2 + 35*d - 4. Let k(w) = x*s(w) - 3*m(w). Solve k(g) = 0 for g.
1, 4
Let j(r) be the first derivative of 2*r**7/105 - 7*r**6/15 + 49*r**5/15 + 61*r**2/2 - 26. Let h(s) be the second derivative of j(s). Factor h(z).
4*z**2*(z - 7)**2
Suppose 2*y + 5*z - 305 = 0, y = 2*y + 3*z - 155. Let u be (-42)/(-4)*y/15. Let 0*x**3 + 53*x**2 - 104*x**2 + 21*x**2 - u - 126*x - 2*x**3 = 0. Calculate x.
-7, -1
Let d(y) be the first derivative of 4*y**2 + y + y**4 + 13 - 4/5*y**5 + 6*y**3. Let m(g) be the first derivative of d(g). Suppose m(z) = 0. What is z?
-1, -1/4, 2
Suppose 12*q + 3*q = -135. Let y be 16/12 + (-6)/q. Find f, given that 1/5*f**3 + 0 - 3/10*f**4 + 4/5*f + 6/5*f**y - 1/10*f**5 = 0.
-2, -1, 0, 2
Let m(w) be the first derivative of -2*w**3/3 + 560*w**2 - 1947. Factor m(y).
-2*y*(y - 560)
Let u(y) be the second derivative of -2*y**7/21 + 56*y**6/5 - 157*y**5/5 - 190*y**4 - 656*y**3/3 + 3*y + 2. Solve u(t) = 0.
-1, 0, 4, 82
Let x(b) be the third derivative of -95*b**2 + 1/36*b**4 + 1/315*b**7 + 0 + 1/9*b**3 + 1/504*b**8 + 0*b - 1/90*b**6 - 1/45*b**5. Factor x(p).
2*(p - 1)**2*(p + 1)**3/3
Suppose 0 - 732/5*v**3 + 21*v**4 + 609/5*v**2 + 18/5*v = 0. What is v?
-1/35, 0, 1, 6
Suppose -1/3*v**4 - 3*v**2 - 4*v**3 + 0 + 22/3*v = 0. Calculate v.
-11, -2, 0, 1
Let l(m) = -5 - 3 + 0 + 20*m - 16*m. Let q be l(2). Factor 5/2*c**5 - 35/2*c**4 + 20*c + q + 45*c**3 - 50*c**2.
5*c*(c - 2)**3*(c - 1)/2
Suppose -5*v + 22 = 3*f, 4*v + 3*f + 12 - 32 = 0. Factor 6*l**4 - 58*l**3 - l**4 + 188*l**2 - 47*l**3 - 31*l**v + 2160*l + 203*l**2.
5*l*(l - 12)**2*(l + 3)
Let k = 255 + -253. Let c = 653 - 1958/3. Factor c*l**k + 0*l + 0.
l**2/3
Let g = -60 - -126. Suppose -2*u + 100 + g = 0. Find o, given that 81*o**2 - 35*o**3 - 25*o**2 + 80 - 340*o + 81*o**2 + u*o**2 = 0.
2/7, 2, 4
Suppose -57 = -x - 54. Suppose 4 + x*o**3 + 4*o**3 + 12*o**2 + o - 3*o**3 + 11*o = 0. Calculate o.
-1
Determine y, given that 4313*y + 4945*y + 194*y**4 + 10 - 204*y**2 - 8290*y - 968*y**3 = 0.
-1, -1/97, 1, 5
Let i be (-77174)/(-1642) + (1 - 36). Factor -i*u**2 - 3*u**3 - 13*u - 9/2 + 1/2*u**4.
(u - 9)*(u + 1)**3/2
Let i = 855033 + -855029. Solve -122/5*b + 2/15*b**5 + 88/15*b**2 - 96/5 - 8/3*b**i + 124/15*b**3 = 0 for b.
-1, 3, 16
Let i(q) be the third derivative of 2*q**6/15 - 41*q**5/15 + 19*q**4/12 + 10*q**3/3 + 12*q**2 + 11*q + 3. Factor i(j).
2*(j - 10)*(2*j - 1)*(4*j + 1)
Let f = -2061 - -41221/20. Let i(x) be the first derivative of 1 - 1/8*x**4 + 1/12*x**3 + 0*x**2 + 0*x + f*x**5. Factor i(v).
v**2*(v - 1)**2/4
Let v(b) = 2*b - 5. Let i be v(12). Suppose -5*u - 20 = 14*l - i*l, 12 = -2*u + 3*l. Determine a so that 4/7*a**3 - 2/7*a + 0 + 0*a**4 - 2/7*a**5 + u*a**2 = 0.
-1, 0, 1
Suppose n + 15 = -3*b, -4*n = -4*b - 45 + 9. Let s(j) be the second derivative of 0 + 1/12*j**n + 1/72*j**4 + 0*j**2 - j. Factor s(r).
r*(r + 3)/6
Let g(k) be the first derivative of k**6/10 - 57*k**5/25 + 21*k**4/4 - 17*k**3/5 + 1008. Suppose g(x) = 0. Calculate x.
0, 1, 17
Factor -410/9*q + 409/9 + 1/9*q**2.
(q - 409)*(q - 1)/9
Let j(m) = 24*m**2 - 10407*m - 231. Let d(p) = 3*p**2 - 1301*p - 28. Let v(c) = -33*d(c) + 4*j(c). Factor v(l).
-3*l*(l - 435)
Suppose -375/7*q**2 -