- 2/5*n**4 - 32/5*n = 0. What is n?
-1, 0, 4
Let m = 2/270265 + 97295/54053. What is s in -m*s**2 - 27/5*s - 27/5 - 1/5*s**3 = 0?
-3
Let m(j) = 23*j - 144. Let h be m(8). Find q, given that 21*q**2 + 12*q**2 - h*q**3 + 37*q**2 + 45*q**3 = 0.
-14, 0
Let h(r) be the first derivative of -2/27*r**3 - 2/9*r**2 + 18 + 0*r. Suppose h(g) = 0. What is g?
-2, 0
Let i(u) = -66*u**4 - 242*u**3 - 240*u**2 - 2*u + 2. Let y(g) = g**5 - 329*g**4 - 1207*g**3 - 1200*g**2 - 11*g + 11. Let s(d) = 22*i(d) - 4*y(d). Factor s(n).
-4*n**2*(n + 2)**2*(n + 30)
Let m(o) = 42*o**4 + 183*o**3 + 213*o**2 + 6*o. Let v(q) = -q**5 - 126*q**4 - 548*q**3 - 640*q**2 - 16*q. Let z(h) = -8*m(h) - 3*v(h). Factor z(k).
3*k**2*(k + 2)*(k + 6)**2
Suppose 3*z + 9 = -4*f, 6*z = 8*z - 3*f - 11. Suppose -u + 2*u + 0*u - u**2 + z - 1 = 0. Calculate u.
0, 1
Let c(x) be the first derivative of -5/4*x**4 + 2*x - 7/2*x**2 + 23 + 1/5*x**5 + 3*x**3. Determine o, given that c(o) = 0.
1, 2
Determine u so that -37*u**2 - 57*u**2 + 73*u**2 - 3*u**3 + 21 + 3*u = 0.
-7, -1, 1
Factor -64*j + 33471*j**2 + 462 + 33473*j**2 - 66942*j**2.
2*(j - 21)*(j - 11)
Let p be (3 - 0)*1 - -4. Suppose -21 = -3*m + 5*s, -2*m + p*m - 7 = -s. Factor 9*i**2 - 15*i**2 + 4*i**m - 8*i - 6.
-2*(i + 1)*(i + 3)
Let l be 6/(-15) - (-4264)/(-40). Let x = l - -110. Factor 4*w**x + 2*w**3 + 7*w + w**4 + 12*w**2 + w.
w*(w + 2)**3
Determine a, given that 2*a**4 + 63*a**3 - 187*a**3 + 11*a**4 + a**4 + 14*a**4 = 0.
0, 31/7
Suppose -9*y - 8*y - y = 0. Let b(m) be the third derivative of -1/9*m**4 + 1/30*m**5 + 8*m**2 + 0 + 1/180*m**6 + 0*m**3 + y*m. Solve b(h) = 0 for h.
-4, 0, 1
Let w(q) be the second derivative of 0*q**4 + 0*q**2 + 0 + 1/600*q**5 - 14*q - 25/6*q**3 - 1/3600*q**6. Let x(o) be the second derivative of w(o). Factor x(u).
-u*(u - 2)/10
Let q(z) be the second derivative of -z**5/20 - 4*z**4/3 + 88*z**3/3 - 192*z**2 + z - 3099. Factor q(c).
-(c - 4)**2*(c + 24)
Let r(l) be the first derivative of -l**4/6 - 5*l**3/2 + 4*l**2 - 30*l - 41. Let d(n) be the first derivative of r(n). Find a, given that d(a) = 0.
-8, 1/2
Factor 1/6*y**2 - 6*y + 34/3.
(y - 34)*(y - 2)/6
Let v(h) be the third derivative of h**5/210 - 1597*h**4/84 + 3190*h**3/21 - 10675*h**2. Let v(n) = 0. What is n?
2, 1595
Let y(r) be the third derivative of r**7/2940 + 13*r**6/1260 + r**5/12 - 7*r**4/12 - 5*r**3/2 + 112*r**2. Let c(l) be the first derivative of y(l). Factor c(j).
2*(j - 1)*(j + 7)**2/7
Suppose -5*n = t + 73, -4*t + 1574 = -4*n + 1506. Factor 3/2*s**3 - 6 + 12*s - 15/2*s**t.
3*(s - 2)**2*(s - 1)/2
Suppose 55 = -2*l + 65. Let -27 - 4*n**l + 27 + 0*n**3 + 16*n**4 - 4*n**3 - 24*n**2 = 0. Calculate n.
-1, 0, 2, 3
Let s = -779 - -783. Let k(x) be the second derivative of 0*x**3 - 1/16*x**s + 0 + 3/8*x**2 + 2*x. Suppose k(d) = 0. Calculate d.
-1, 1
Let c(i) = 4*i**5 - 132*i**4 - 308*i**3 - 228*i**2 - 8*i + 96. Let p(q) = -q**5 + q**3 + q**2 + q - 2. Let o(a) = c(a) + 24*p(a). Solve o(d) = 0 for d.
-3, -2, -1, 2/5
Let k(y) be the first derivative of 0*y**3 - 1/12*y**4 - 51 + 0*y**2 + 0*y. Factor k(t).
-t**3/3
Let s(p) = -9*p**2 + 596*p - 2331. Let l(n) = 6*n**2 - 397*n + 1557. Let u(b) = -7*l(b) - 5*s(b). Determine z so that u(z) = 0.
4, 63
Let x be (-150)/45*9/15. Let g be (-6)/(-40) - x/8. Factor -2/5*v + 0*v**2 - 1/5*v**4 + g*v**3 + 1/5.
-(v - 1)**3*(v + 1)/5
Let r = 24 + -26. Let o(c) = -44*c**3 - 4*c**4 + 2 - 40*c**3 - 2*c + 86*c**3. Let p(g) = -g**4 - g**3 - g**2 + g + 1. Let d(z) = r*p(z) + o(z). Factor d(h).
-2*h*(h - 2)*(h - 1)*(h + 1)
Suppose 5*x = 40 - 15. Suppose 0 = x*c + 4*h - 18, 5*c - c - 3*h - 2 = 0. Determine q so that -8 + 2*q + 2*q - q**2 + 3*q**2 + c*q**2 = 0.
-2, 1
Let x(w) = 18*w**2 + 1397*w + 4239. Let j(u) = 13*u**2 + 931*u + 2826. Let l(y) = -7*j(y) + 5*x(y). Factor l(f).
-(f - 471)*(f + 3)
Let t(q) be the second derivative of q**4/12 + q**3 - 37*q**2/2 + 6*q + 2. Let i be t(4). Find v such that -289/4*v**i + 16*v + 1 + 221/4*v**2 = 0.
-2/17, 1
Let v(d) be the second derivative of 4/15*d**6 - 3/5*d**5 - 16/3*d**3 + 0*d**2 + 0 - 6*d**4 + 22*d. Factor v(l).
4*l*(l - 4)*(l + 2)*(2*l + 1)
What is p in -26/11*p**2 + 2/11*p**4 - 8/11*p**3 + 96/11 + 80/11*p = 0?
-3, -1, 4
Let j(l) be the first derivative of -2*l**3/9 - 8*l**2 - 88*l/3 - 236. Find s, given that j(s) = 0.
-22, -2
Let y be (-6)/(-111) + (-384)/7104. Let i(r) be the first derivative of 16/5*r**5 + 0*r**3 - 2/3*r**6 + y*r + 0*r**2 - 3*r**4 - 38. Factor i(p).
-4*p**3*(p - 3)*(p - 1)
Let o be (2023/287 - 7) + (-10991391)/(-30504). Factor 3069/8*k - 189/8*k**2 + 3/8*k**3 - o.
3*(k - 31)**2*(k - 1)/8
Let f be 3/9*9 + 4 + 1. Factor -4*q**3 - 24*q - 72*q + q**4 + 64 + 52*q**2 - f*q**3.
(q - 4)**2*(q - 2)**2
Let g(q) = -2*q**2 - 601*q - 40393. Let m be g(-199). What is c in 2/15*c**2 + m*c + 30 = 0?
-15
Let q(j) be the second derivative of j**6/72 - 7*j**5/36 - 85*j**4/72 - 5*j**3/2 + 144*j**2 + 196*j. Let z(h) be the first derivative of q(h). Factor z(w).
5*(w - 9)*(w + 1)**2/3
Solve -1/8*u**4 + 1043199/2*u + 485/8*u**3 + 531441 - 39123/4*u**2 = 0 for u.
-1, 162
Suppose 12*y + 9 = 57. Factor -2*h**3 + 18*h**5 + 22*h**5 - h**y - 39*h**5.
h**3*(h - 2)*(h + 1)
Let f(l) = -14*l - 28. Let o be f(-10). Suppose -5*n + 102 - o = 0. Let b(r) = r**3 - 11*r + 8. Let d(k) = -12*k + 9. Let i(u) = n*d(u) + 3*b(u). Factor i(q).
3*(q - 1)**2*(q + 2)
Let l(b) be the second derivative of 0 + 4/21*b**3 + 4/21*b**4 - 18*b + 1/30*b**5 - 2*b**2. Let x(u) be the first derivative of l(u). Factor x(w).
2*(w + 2)*(7*w + 2)/7
Factor -3/2*f**3 - 2169*f + 1455/2*f**2 + 0.
-3*f*(f - 482)*(f - 3)/2
Let w(i) be the second derivative of 103*i + 1/32*i**4 + 3/8*i**2 - 3/16*i**3 + 0. Suppose w(l) = 0. What is l?
1, 2
Let m(y) be the third derivative of -y**5/60 + 1421*y**4/12 - 2019241*y**3/6 - 138*y**2 - y - 1. Let m(q) = 0. Calculate q.
1421
Let c be (5 - 38/7) + 72/21. Factor 0 + 22/7*x - 2/7*x**c - 20/7*x**2.
-2*x*(x - 1)*(x + 11)/7
Solve -4225/3 - 1/3*f**3 + 43*f**2 - 1365*f = 0 for f.
-1, 65
Let p = -9436/23 + 148069/69. Let i = 1736 - p. Let 5/3*z**3 - i*z**5 - 4/3*z + z**4 - z**2 + 0 = 0. Calculate z.
-1, 0, 1, 4
Suppose -27 = 22*m - 27. Let q be (m/2 - 2)/(426/(-639)). Factor -12/7*w**2 - 6/7*w - 1/7 - 8/7*w**q.
-(2*w + 1)**3/7
Let c(i) be the first derivative of -i**6/21 + 48*i**5/35 - 45*i**4/14 + 44*i**3/21 + 724. Solve c(h) = 0 for h.
0, 1, 22
Let w be -10 + (-1947)/(-165) - 12/(-10). Solve -3/2*c**4 + 0*c + 0*c**w + 0 + 3/2*c**2 = 0.
-1, 0, 1
Let w(l) = 9*l**2 - 26*l + 25. Let v(k) = -k**2 - 4. Let r(a) = -2*v(a) + w(a). Let t(u) = -12*u**2 + 27*u - 36. Let c(z) = 7*r(z) + 6*t(z). Factor c(f).
5*(f - 3)*(f - 1)
Solve 10*v**4 - 32*v**2 + 9*v**4 - 2*v**3 + 10*v**4 + 2*v**5 + 3*v**4 = 0.
-16, -1, 0, 1
Factor -31886460*g**2 + 3874204890*g - 270*g**4 + 131220*g**3 + 2/9*g**5 - 188286357654.
2*(g - 243)**5/9
Let p(b) be the third derivative of -13*b + 0 - 2*b**2 + 3/10*b**4 + 1/150*b**5 + 0*b**3. What is g in p(g) = 0?
-18, 0
Determine q so that -15/2*q**3 + 45/2*q**2 - 33 + 1/2*q**4 - 5/2*q = 0.
-1, 2, 3, 11
Let z be (-28)/42*282/4. Let c = 50 + z. Factor 3*k**2 + 4*k + 5*k**2 - 7*k**2 - c*k.
k*(k + 1)
Let z be ((-1)/(-2))/(2/348). Let h = -79 + z. Factor 1414*t**2 + 0*t**3 - 1420*t**2 + h*t + t**3.
t*(t - 4)*(t - 2)
Solve 0 - k**4 + k**2 + k**3 + 1/5*k**5 - 6/5*k = 0 for k.
-1, 0, 1, 2, 3
Let u(x) = 5*x + 36. Let o be u(-8). Let j be -13 + 12 - 5/o. What is s in 1/4*s**3 - 1/4*s + 0 + 1/4*s**2 - j*s**4 = 0?
-1, 0, 1
Let l(u) be the second derivative of -3*u**2 - 31/32*u**4 + 5 - 28*u + 9/160*u**5 + 29/8*u**3. Factor l(k).
3*(k - 8)*(k - 2)*(3*k - 1)/8
Solve 0 + 0*x**2 + 1/2*x**5 + 37/2*x**3 + 19*x**4 + 0*x = 0 for x.
-37, -1, 0
Let r(v) = -v**2 + v + 3. Let c(q) = 380*q + 8848. Let g(u) = -28*u + 139. Let f be g(5). Let w(t) = f*c(t) + 4*r(t). Solve w(d) = 0.
-47
Let w(t) be the first derivative of -32*t**3/3 + 66*t**2 - 16*t - 597. Let w(v) = 0. What is v?
1/8, 4
Let j(o) be the second derivative of o**6/5 + 219*o**5/40 + 99*o**4/4 + 45*o**3/4 - 248*o + 3. Let j(k) = 0. What is k?
-15, -3, -1/4, 0
Let k be 27 + (-6454)/154 - (-4 + -11). Determine b, given that -k*b**4 + 3/11*b**2 + 2/11*b + 0*b**3 + 0 = 0.
-1, 0, 2
Let m(s) be the second derivative of 27*s**5/20 + 61*s**4/4 - 43*s**3 + 24*s**2 + 41